Details

analyze266.0ms (1.6%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
0%	99.9%	0.1%	3
0%	99.9%	0.1%	4
0%	74.9%	25.1%	5
0%	74.9%	25.1%	6
0%	74.9%	25.1%	7
6.2%	56.2%	37.6%	8
7.8%	53%	39.2%	9
9.4%	47.2%	43.4%	10
15.2%	34.5%	50.3%	11
17.6%	31.1%	51.3%	12

Compiler

Compiled 28 to 21 computations (25% saved)

sample2.2s (13.9%)

Results

1.5s	8256×	body	256	valid
691.0ms	3553×	body	256	invalid

preprocess57.0ms (0.4%)

Algorithm

2×	egg-herbie

Rules

864×	`fma-def_binary64`
793×	`sub-neg_binary64`
536×	`fma-neg_binary64`
462×	`cancel-sign-sub-inv_binary64`
408×	`distribute-neg-in_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	51	128
1	118	128
2	307	124
3	1011	120
4	2378	120
5	4733	120
6	7391	120
0	3	3

Stop Event

1×	saturated
1×	node limit

Calls

Call 1

Inputs
0
1
2

Outputs
0
1
2

Call 2

Inputs
(+.f64 (+.f64 (-.f64 (.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (/.f64 (+.f64 (.f64 (-.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000) x))
(+.f64 (+.f64 (-.f64 (.f64 (-.f64 y 1/2) (log.f64 y)) y) 91893853320467/100000000000000) (/.f64 (+.f64 (.f64 (-.f64 (*.f64 (+.f64 x 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000) y))
(+.f64 (+.f64 (-.f64 (.f64 (-.f64 z 1/2) (log.f64 z)) z) 91893853320467/100000000000000) (/.f64 (+.f64 (.f64 (-.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) x) 13888888888889/5000000000000000) x) 83333333333333/1000000000000000) z))
(+.f64 (+.f64 (-.f64 (.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (/.f64 (+.f64 (.f64 (-.f64 (*.f64 (+.f64 z 7936500793651/10000000000000000) y) 13888888888889/5000000000000000) y) 83333333333333/1000000000000000) x))

Outputs
(+.f64 (+.f64 (-.f64 (.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (/.f64 (+.f64 (.f64 (-.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000) x))
(+.f64 (-.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) x) (+.f64 91893853320467/100000000000000 (/.f64 (fma.f64 (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) z 83333333333333/1000000000000000) x)))
(+.f64 (-.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) x) (+.f64 91893853320467/100000000000000 (/.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000) x)))
(+.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (fma.f64 -1 x 91893853320467/100000000000000)) (/.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000) x))
(+.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (-.f64 91893853320467/100000000000000 x)) (/.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000) x))
(+.f64 91893853320467/100000000000000 (-.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (/.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000) x)) x))
(+.f64 (+.f64 (-.f64 (.f64 (-.f64 y 1/2) (log.f64 y)) y) 91893853320467/100000000000000) (/.f64 (+.f64 (.f64 (-.f64 (*.f64 (+.f64 x 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000) y))
(+.f64 (-.f64 (*.f64 (+.f64 y -1/2) (log.f64 y)) y) (+.f64 91893853320467/100000000000000 (/.f64 (fma.f64 (fma.f64 (+.f64 x 7936500793651/10000000000000000) z -13888888888889/5000000000000000) z 83333333333333/1000000000000000) y)))
(+.f64 91893853320467/100000000000000 (+.f64 (-.f64 (*.f64 (+.f64 y -1/2) (log.f64 y)) y) (/.f64 (fma.f64 z (fma.f64 z (+.f64 x 7936500793651/10000000000000000) -13888888888889/5000000000000000) 83333333333333/1000000000000000) y)))
(+.f64 (fma.f64 (+.f64 y -1/2) (log.f64 y) (fma.f64 -1 y 91893853320467/100000000000000)) (/.f64 (fma.f64 z (fma.f64 z (+.f64 x 7936500793651/10000000000000000) -13888888888889/5000000000000000) 83333333333333/1000000000000000) y))
(+.f64 (-.f64 (fma.f64 (+.f64 y -1/2) (log.f64 y) 91893853320467/100000000000000) y) (/.f64 (fma.f64 z (fma.f64 z (+.f64 x 7936500793651/10000000000000000) -13888888888889/5000000000000000) 83333333333333/1000000000000000) y))
(+.f64 (fma.f64 (+.f64 y -1/2) (log.f64 y) (-.f64 91893853320467/100000000000000 y)) (/.f64 (fma.f64 z (fma.f64 z (+.f64 x 7936500793651/10000000000000000) -13888888888889/5000000000000000) 83333333333333/1000000000000000) y))
(+.f64 (+.f64 (-.f64 (.f64 (-.f64 z 1/2) (log.f64 z)) z) 91893853320467/100000000000000) (/.f64 (+.f64 (.f64 (-.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) x) 13888888888889/5000000000000000) x) 83333333333333/1000000000000000) z))
(+.f64 (-.f64 (*.f64 (+.f64 z -1/2) (log.f64 z)) z) (+.f64 91893853320467/100000000000000 (/.f64 (fma.f64 (fma.f64 (+.f64 y 7936500793651/10000000000000000) x -13888888888889/5000000000000000) x 83333333333333/1000000000000000) z)))
(+.f64 (fma.f64 (+.f64 z -1/2) (log.f64 z) (neg.f64 z)) (+.f64 91893853320467/100000000000000 (/.f64 (fma.f64 x (fma.f64 x (+.f64 y 7936500793651/10000000000000000) -13888888888889/5000000000000000) 83333333333333/1000000000000000) z)))
(+.f64 (fma.f64 (+.f64 z -1/2) (log.f64 z) (fma.f64 -1 z 91893853320467/100000000000000)) (/.f64 (fma.f64 x (fma.f64 x (+.f64 y 7936500793651/10000000000000000) -13888888888889/5000000000000000) 83333333333333/1000000000000000) z))
(+.f64 (fma.f64 (+.f64 z -1/2) (log.f64 z) (-.f64 91893853320467/100000000000000 z)) (/.f64 (fma.f64 x (fma.f64 x (+.f64 y 7936500793651/10000000000000000) -13888888888889/5000000000000000) 83333333333333/1000000000000000) z))
(+.f64 91893853320467/100000000000000 (-.f64 (fma.f64 (+.f64 z -1/2) (log.f64 z) (/.f64 (fma.f64 x (fma.f64 x (+.f64 y 7936500793651/10000000000000000) -13888888888889/5000000000000000) 83333333333333/1000000000000000) z)) z))
(+.f64 (+.f64 (-.f64 (.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (/.f64 (+.f64 (.f64 (-.f64 (*.f64 (+.f64 z 7936500793651/10000000000000000) y) 13888888888889/5000000000000000) y) 83333333333333/1000000000000000) x))
(+.f64 (+.f64 (-.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) x) 91893853320467/100000000000000) (/.f64 (fma.f64 (fma.f64 (+.f64 7936500793651/10000000000000000 z) y -13888888888889/5000000000000000) y 83333333333333/1000000000000000) x))
(+.f64 (-.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) x) (+.f64 91893853320467/100000000000000 (/.f64 (fma.f64 y (fma.f64 y (+.f64 7936500793651/10000000000000000 z) -13888888888889/5000000000000000) 83333333333333/1000000000000000) x)))
(+.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (fma.f64 -1 x 91893853320467/100000000000000)) (/.f64 (fma.f64 y (fma.f64 y (+.f64 7936500793651/10000000000000000 z) -13888888888889/5000000000000000) 83333333333333/1000000000000000) x))
(+.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (-.f64 91893853320467/100000000000000 x)) (/.f64 (fma.f64 y (fma.f64 y (+.f64 7936500793651/10000000000000000 z) -13888888888889/5000000000000000) 83333333333333/1000000000000000) x))

Compiler

Compiled 30 to 23 computations (23.3% saved)

simplify45.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

703×	`associate-/l*_binary64`
692×	`fma-def_binary64`
568×	`fma-neg_binary64`
443×	`sub-neg_binary64`
439×	`div-sub_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	21	32
1	43	32
2	100	31
3	294	30
4	666	30
5	1496	30
6	2874	30
7	4967	30
8	6344	30

Stop Event

1×	node limit

Counts

1 → 2

Calls

Call 1

Inputs

(+.f64 (+.f64 (-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (/.f64 (+.f64 (*.f64 (-.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000) x))

Outputs
(+.f64 (+.f64 (-.f64 (.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (/.f64 (+.f64 (.f64 (-.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000) x))
(+.f64 (+.f64 (-.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) x) 91893853320467/100000000000000) (/.f64 (fma.f64 (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) z 83333333333333/1000000000000000) x))
(+.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (neg.f64 (+.f64 x -91893853320467/100000000000000))) (/.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000) x))
(+.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (fma.f64 -1 x 91893853320467/100000000000000)) (/.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000) x))
(+.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (-.f64 91893853320467/100000000000000 x)) (/.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000) x))
(+.f64 (-.f64 91893853320467/100000000000000 (fma.f64 (log.f64 x) (-.f64 1/2 x) x)) (/.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000) x))

eval1.0ms (0%)

Compiler: Compiled 48 to 33 computations (31.3% saved)

prune2.0ms (0%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Kept	Total
New	2	2
Fresh	1	1
Picked	0	0
Done	0	0
Total	3	3

Error

5.3b

Counts

3 → 2

Alt Table

Click to see full alt table

Status	Error	Program
▶	5.3b	(+.f64 (-.f64 91893853320467/100000000000000 (fma.f64 (log.f64 x) (-.f64 1/2 x) x)) (/.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000) x))
▶	5.3b	(+.f64 (+.f64 (-.f64 (.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (/.f64 (+.f64 (.f64 (-.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000) x))

Status

Error

Program

▶

5.3b

(+.f64 (-.f64 91893853320467/100000000000000 (fma.f64 (log.f64 x) (-.f64 1/2 x) x)) (/.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000) x))

▶

5.3b

(+.f64 (+.f64 (-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (/.f64 (+.f64 (*.f64 (-.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000) x))

Compiler

Compiled 51 to 37 computations (27.5% saved)

localize16.0ms (0.1%)

Local error

Found 8 expressions with local error:

New	Error	Program
	0.0b	(+.f64 (.f64 (-.f64 (.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000)
	0.0b	(-.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000)
	0.0b	(+.f64 y 7936500793651/10000000000000000)
	0.0b	(+.f64 (+.f64 (-.f64 (.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (/.f64 (+.f64 (.f64 (-.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000) x))
✓	0.1b	(.f64 (-.f64 (.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z)
✓	0.1b	(*.f64 (-.f64 x 1/2) (log.f64 x))
✓	0.2b	(-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x)
✓	5.0b	(/.f64 (+.f64 (.f64 (-.f64 (.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000) x)

series25.0ms (0.2%)

Counts

4 → 84

Calls

21 calls:

Time	Variable		Point	Expression
8.0ms	x	@	0	(-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x)
3.0ms	x	@	-inf	(-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x)
2.0ms	x	@	inf	(-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x)
1.0ms	y	@	0	(/.f64 (+.f64 (.f64 (-.f64 (.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000) x)
1.0ms	z	@	inf	(/.f64 (+.f64 (.f64 (-.f64 (.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000) x)

rewrite110.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

949×	`prod-diff_binary64`
380×	`log1p-udef_binary64`
216×	`add-sqr-sqrt_binary64`
205×	`*-un-lft-identity_binary64`
205×	`pow1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	47
1	421	47
2	5693	47

Stop Event

1×	node limit

Counts

4 → 162

Calls

Call 1

Inputs
(/.f64 (+.f64 (.f64 (-.f64 (.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000) x)
(-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x)
(*.f64 (-.f64 x 1/2) (log.f64 x))
(.f64 (-.f64 (.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z)

Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000) x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000) (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (/.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000) x))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000)) 2) (.f64 (cbrt.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000)) (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (/.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000) x)) (pow.f64 (cbrt.f64 (/.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000) x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (/.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000) x)) 2) (cbrt.f64 (/.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000) x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (fma.f64 z (fma.f64 (+.f64 y 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simplify265.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

468×	`distribute-rgt-out_binary64`
454×	`associate-/r*_binary64`
448×	`associate-/l/_binary64`
363×	`associate-/r/_binary64`
343×	`distribute-rgt-in_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	80	1375
1	215	1302
2	515	1161
3	1453	1056
4	3794	1056

Stop Event

1×	node limit

Counts

246 → 206

Calls

Call 1

Inputs
(/.f64 (+.f64 83333333333333/1000000000000000 (.f64 (-.f64 (.f64 7936500793651/10000000000000000 z) 13888888888889/5000000000000000) z)) x)
(+.f64 (/.f64 (.f64 y (pow.f64 z 2)) x) (+.f64 (.f64 83333333333333/1000000000000000 (/.f64 1 x)) (/.f64 (.f64 (-.f64 (.f64 7936500793651/10000000000000000 z) 13888888888889/5000000000000000) z) x)))
(+.f64 (/.f64 (.f64 y (pow.f64 z 2)) x) (+.f64 (.f64 83333333333333/1000000000000000 (/.f64 1 x)) (/.f64 (.f64 (-.f64 (.f64 7936500793651/10000000000000000 z) 13888888888889/5000000000000000) z) x)))
(+.f64 (/.f64 (.f64 y (pow.f64 z 2)) x) (+.f64 (.f64 83333333333333/1000000000000000 (/.f64 1 x)) (/.f64 (.f64 (-.f64 (.f64 7936500793651/10000000000000000 z) 13888888888889/5000000000000000) z) x)))
(/.f64 (*.f64 y (pow.f64 z 2)) x)
(+.f64 (.f64 83333333333333/1000000000000000 (/.f64 1 x)) (+.f64 (/.f64 (.f64 y (pow.f64 z 2)) x) (/.f64 (.f64 (-.f64 (.f64 7936500793651/10000000000000000 z) 13888888888889/5000000000000000) z) x)))
(+.f64 (.f64 83333333333333/1000000000000000 (/.f64 1 x)) (+.f64 (/.f64 (.f64 y (pow.f64 z 2)) x) (/.f64 (.f64 (-.f64 (.f64 7936500793651/10000000000000000 z) 13888888888889/5000000000000000) z) x)))
(+.f64 (.f64 83333333333333/1000000000000000 (/.f64 1 x)) (+.f64 (/.f64 (.f64 y (pow.f64 z 2)) x) (/.f64 (.f64 (-.f64 (.f64 7936500793651/10000000000000000 z) 13888888888889/5000000000000000) z) x)))
(/.f64 (*.f64 y (pow.f64 z 2)) x)
(+.f64 (.f64 83333333333333/1000000000000000 (/.f64 1 x)) (+.f64 (/.f64 (.f64 y (pow.f64 z 2)) x) (/.f64 (.f64 (-.f64 (.f64 7936500793651/10000000000000000 z) 13888888888889/5000000000000000) z) x)))
(+.f64 (.f64 83333333333333/1000000000000000 (/.f64 1 x)) (+.f64 (/.f64 (.f64 y (pow.f64 z 2)) x) (/.f64 (.f64 (-.f64 (.f64 7936500793651/10000000000000000 z) 13888888888889/5000000000000000) z) x)))
(+.f64 (.f64 83333333333333/1000000000000000 (/.f64 1 x)) (+.f64 (/.f64 (.f64 y (pow.f64 z 2)) x) (/.f64 (.f64 (-.f64 (.f64 7936500793651/10000000000000000 z) 13888888888889/5000000000000000) z) x)))
(/.f64 83333333333333/1000000000000000 x)
(+.f64 (.f64 83333333333333/1000000000000000 (/.f64 1 x)) (.f64 -13888888888889/5000000000000000 (/.f64 z x)))
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Outputs
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(/.f64 (+.f64 83333333333333/1000000000000000 (*.f64 z (fma.f64 7936500793651/10000000000000000 z -13888888888889/5000000000000000))) x)
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(fma.f64 -1/2 (log.f64 x) (*.f64 x (log.f64 x)))
(*.f64 (log.f64 x) (+.f64 -1/2 x))
(*.f64 (log.f64 x) (+.f64 x -1/2))
(.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) x)
(*.f64 (neg.f64 (neg.f64 (log.f64 x))) x)
(*.f64 x (log.f64 x))
(+.f64 (.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) x) (.f64 -1/2 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))))
(fma.f64 -1/2 (log.f64 x) (*.f64 x (log.f64 x)))
(*.f64 (log.f64 x) (+.f64 -1/2 x))
(*.f64 (log.f64 x) (+.f64 x -1/2))
(+.f64 (.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) x) (.f64 -1/2 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))))
(fma.f64 -1/2 (log.f64 x) (*.f64 x (log.f64 x)))
(*.f64 (log.f64 x) (+.f64 -1/2 x))
(*.f64 (log.f64 x) (+.f64 x -1/2))
(+.f64 (.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) x) (.f64 -1/2 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))))
(fma.f64 -1/2 (log.f64 x) (*.f64 x (log.f64 x)))
(*.f64 (log.f64 x) (+.f64 -1/2 x))
(*.f64 (log.f64 x) (+.f64 x -1/2))
(.f64 (-.f64 (.f64 7936500793651/10000000000000000 z) 13888888888889/5000000000000000) z)
(*.f64 z (fma.f64 7936500793651/10000000000000000 z -13888888888889/5000000000000000))
(+.f64 (.f64 y (pow.f64 z 2)) (.f64 (-.f64 (*.f64 7936500793651/10000000000000000 z) 13888888888889/5000000000000000) z))
(fma.f64 y (.f64 z z) (.f64 z (fma.f64 7936500793651/10000000000000000 z -13888888888889/5000000000000000)))
(fma.f64 z (fma.f64 7936500793651/10000000000000000 z -13888888888889/5000000000000000) (.f64 z (.f64 z y)))
(*.f64 z (fma.f64 z (+.f64 7936500793651/10000000000000000 y) -13888888888889/5000000000000000))
(+.f64 (.f64 y (pow.f64 z 2)) (.f64 (-.f64 (*.f64 7936500793651/10000000000000000 z) 13888888888889/5000000000000000) z))
(fma.f64 y (.f64 z z) (.f64 z (fma.f64 7936500793651/10000000000000000 z -13888888888889/5000000000000000)))
(fma.f64 z (fma.f64 7936500793651/10000000000000000 z -13888888888889/5000000000000000) (.f64 z (.f64 z y)))
(*.f64 z (fma.f64 z (+.f64 7936500793651/10000000000000000 y) -13888888888889/5000000000000000))
(+.f64 (.f64 y (pow.f64 z 2)) (.f64 (-.f64 (*.f64 7936500793651/10000000000000000 z) 13888888888889/5000000000000000) z))
(fma.f64 y (.f64 z z) (.f64 z (fma.f64 7936500793651/10000000000000000 z -13888888888889/5000000000000000)))
(fma.f64 z (fma.f64 7936500793651/10000000000000000 z -13888888888889/5000000000000000) (.f64 z (.f64 z y)))
(*.f64 z (fma.f64 z (+.f64 7936500793651/10000000000000000 y) -13888888888889/5000000000000000))
(*.f64 y (pow.f64 z 2))
(.f64 y (.f64 z z))
(.f64 z (.f64 z y))
(+.f64 (.f64 y (pow.f64 z 2)) (.f64 (-.f64 (*.f64 7936500793651/10000000000000000 z) 13888888888889/5000000000000000) z))
(fma.f64 y (.f64 z z) (.f64 z (fma.f64 7936500793651/10000000000000000 z -13888888888889/5000000000000000)))
(fma.f64 z (fma.f64 7936500793651/10000000000000000 z -13888888888889/5000000000000000) (.f64 z (.f64 z y)))
(*.f64 z (fma.f64 z (+.f64 7936500793651/10000000000000000 y) -13888888888889/5000000000000000))
(+.f64 (.f64 y (pow.f64 z 2)) (.f64 (-.f64 (*.f64 7936500793651/10000000000000000 z) 13888888888889/5000000000000000) z))
(fma.f64 y (.f64 z z) (.f64 z (fma.f64 7936500793651/10000000000000000 z -13888888888889/5000000000000000)))
(fma.f64 z (fma.f64 7936500793651/10000000000000000 z -13888888888889/5000000000000000) (.f64 z (.f64 z y)))
(*.f64 z (fma.f64 z (+.f64 7936500793651/10000000000000000 y) -13888888888889/5000000000000000))
(+.f64 (.f64 y (pow.f64 z 2)) (.f64 (-.f64 (*.f64 7936500793651/10000000000000000 z) 13888888888889/5000000000000000) z))
(fma.f64 y (.f64 z z) (.f64 z (fma.f64 7936500793651/10000000000000000 z -13888888888889/5000000000000000)))
(fma.f64 z (fma.f64 7936500793651/10000000000000000 z -13888888888889/5000000000000000) (.f64 z (.f64 z y)))
(*.f64 z (fma.f64 z (+.f64 7936500793651/10000000000000000 y) -13888888888889/5000000000000000))
(*.f64 y (pow.f64 z 2))
(.f64 y (.f64 z z))
(.f64 z (.f64 z y))
(+.f64 (.f64 y (pow.f64 z 2)) (.f64 (-.f64 (*.f64 7936500793651/10000000000000000 z) 13888888888889/5000000000000000) z))
(fma.f64 y (.f64 z z) (.f64 z (fma.f64 7936500793651/10000000000000000 z -13888888888889/5000000000000000)))
(fma.f64 z (fma.f64 7936500793651/10000000000000000 z -13888888888889/5000000000000000) (.f64 z (.f64 z y)))
(*.f64 z (fma.f64 z (+.f64 7936500793651/10000000000000000 y) -13888888888889/5000000000000000))
(+.f64 (.f64 y (pow.f64 z 2)) (.f64 (-.f64 (*.f64 7936500793651/10000000000000000 z) 13888888888889/5000000000000000) z))
(fma.f64 y (.f64 z z) (.f64 z (fma.f64 7936500793651/10000000000000000 z -13888888888889/5000000000000000)))
(fma.f64 z (fma.f64 7936500793651/10000000000000000 z -13888888888889/5000000000000000) (.f64 z (.f64 z y)))
(*.f64 z (fma.f64 z (+.f64 7936500793651/10000000000000000 y) -13888888888889/5000000000000000))
(+.f64 (.f64 y (pow.f64 z 2)) (.f64 (-.f64 (*.f64 7936500793651/10000000000000000 z) 13888888888889/5000000000000000) z))
(fma.f64 y (.f64 z z) (.f64 z (fma.f64 7936500793651/10000000000000000 z -13888888888889/5000000000000000)))
(fma.f64 z (fma.f64 7936500793651/10000000000000000 z -13888888888889/5000000000000000) (.f64 z (.f64 z y)))
(*.f64 z (fma.f64 z (+.f64 7936500793651/10000000000000000 y) -13888888888889/5000000000000000))
(*.f64 -13888888888889/5000000000000000 z)
(*.f64 z -13888888888889/5000000000000000)
(+.f64 (.f64 (pow.f64 z 2) (+.f64 7936500793651/10000000000000000 y)) (.f64 -13888888888889/5000000000000000 z))
(fma.f64 y (.f64 z z) (.f64 z (fma.f64 7936500793651/10000000000000000 z -13888888888889/5000000000000000)))
(fma.f64 z (fma.f64 7936500793651/10000000000000000 z -13888888888889/5000000000000000) (.f64 z (.f64 z y)))
(*.f64 z (fma.f64 z (+.f64 7936500793651/10000000000000000 y) -13888888888889/5000000000000000))
(+.f64 (.f64 (pow.f64 z 2) (+.f64 7936500793651/10000000000000000 y)) (.f64 -13888888888889/5000000000000000 z))
(fma.f64 y (.f64 z z) (.f64 z (fma.f64 7936500793651/10000000000000000 z -13888888888889/5000000000000000)))
(fma.f64 z (fma.f64 7936500793651/10000000000000000 z -13888888888889/5000000000000000) (.f64 z (.f64 z y)))
(*.f64 z (fma.f64 z (+.f64 7936500793651/10000000000000000 y) -13888888888889/5000000000000000))
(+.f64 (.f64 (pow.f64 z 2) (+.f64 7936500793651/10000000000000000 y)) (.f64 -13888888888889/5000000000000000 z))
(fma.f64 y (.f64 z z) (.f64 z (fma.f64 7936500793651/10000000000000000 z -13888888888889/5000000000000000)))
(fma.f64 z (fma.f64 7936500793651/10000000000000000 z -13888888888889/5000000000000000) (.f64 z (.f64 z y)))
(*.f64 z (fma.f64 z (+.f64 7936500793651/10000000000000000 y) -13888888888889/5000000000000000))
(*.f64 (pow.f64 z 2) (+.f64 7936500793651/10000000000000000 y))
(.f64 (.f64 z z) (+.f64 7936500793651/10000000000000000 y))
(.f64 z (.f64 z (+.f64 7936500793651/10000000000000000 y)))
(+.f64 (.f64 (pow.f64 z 2) (+.f64 7936500793651/10000000000000000 y)) (.f64 -13888888888889/5000000000000000 z))
(fma.f64 y (.f64 z z) (.f64 z (fma.f64 7936500793651/10000000000000000 z -13888888888889/5000000000000000)))
(fma.f64 z (fma.f64 7936500793651/10000000000000000 z -13888888888889/5000000000000000) (.f64 z (.f64 z y)))
(*.f64 z (fma.f64 z (+.f64 7936500793651/10000000000000000 y) -13888888888889/5000000000000000))
(+.f64 (.f64 (pow.f64 z 2) (+.f64 7936500793651/10000000000000000 y)) (.f64 -13888888888889/5000000000000000 z))
(fma.f64 y (.f64 z z) (.f64 z (fma.f64 7936500793651/10000000000000000 z -13888888888889/5000000000000000)))
(fma.f64 z (fma.f64 7936500793651/10000000000000000 z -13888888888889/5000000000000000) (.f64 z (.f64 z y)))
(*.f64 z (fma.f64 z (+.f64 7936500793651/10000000000000000 y) -13888888888889/5000000000000000))
(+.f64 (.f64 (pow.f64 z 2) (+.f64 7936500793651/10000000000000000 y)) (.f64 -13888888888889/5000000000000000 z))
(fma.f64 y (.f64 z z) (.f64 z (fma.f64 7936500793651/10000000000000000 z -13888888888889/5000000000000000)))
(fma.f64 z (fma.f64 7936500793651/10000000000000000 z -13888888888889/5000000000000000) (.f64 z (.f64 z y)))
(*.f64 z (fma.f64 z (+.f64 7936500793651/10000000000000000 y) -13888888888889/5000000000000000))
(*.f64 (pow.f64 z 2) (+.f64 7936500793651/10000000000000000 y))
(.f64 (.f64 z z) (+.f64 7936500793651/10000000000000000 y))
(.f64 z (.f64 z (+.f64 7936500793651/10000000000000000 y)))
(+.f64 (.f64 (pow.f64 z 2) (+.f64 7936500793651/10000000000000000 y)) (.f64 -13888888888889/5000000000000000 z))
(fma.f64 y (.f64 z z) (.f64 z (fma.f64 7936500793651/10000000000000000 z -13888888888889/5000000000000000)))
(fma.f64 z (fma.f64 7936500793651/10000000000000000 z -13888888888889/5000000000000000) (.f64 z (.f64 z y)))
(*.f64 z (fma.f64 z (+.f64 7936500793651/10000000000000000 y) -13888888888889/5000000000000000))
(+.f64 (.f64 (pow.f64 z 2) (+.f64 7936500793651/10000000000000000 y)) (.f64 -13888888888889/5000000000000000 z))
(fma.f64 y (.f64 z z) (.f64 z (fma.f64 7936500793651/10000000000000000 z -13888888888889/5000000000000000)))
(fma.f64 z (fma.f64 7936500793651/10000000000000000 z -13888888888889/5000000000000000) (.f64 z (.f64 z y)))
(*.f64 z (fma.f64 z (+.f64 7936500793651/10000000000000000 y) -13888888888889/5000000000000000))
(+.f64 (.f64 (pow.f64 z 2) (+.f64 7936500793651/10000000000000000 y)) (.f64 -13888888888889/5000000000000000 z))
(fma.f64 y (.f64 z z) (.f64 z (fma.f64 7936500793651/10000000000000000 z -13888888888889/5000000000000000)))
(fma.f64 z (fma.f64 7936500793651/10000000000000000 z -13888888888889/5000000000000000) (.f64 z (.f64 z y)))
(*.f64 z (fma.f64 z (+.f64 7936500793651/10000000000000000 y) -13888888888889/5000000000000000))

localize15.0ms (0.1%)

Local error

Found 8 expressions with local error:

New	Error	Program
	0.1b	(fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000)
	0.0b	(fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000)
	0.0b	(+.f64 y 7936500793651/10000000000000000)
	0.0b	(+.f64 (-.f64 91893853320467/100000000000000 (fma.f64 (log.f64 x) (-.f64 1/2 x) x)) (/.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000) x))
✓	0.1b	(fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000)
✓	0.1b	(-.f64 91893853320467/100000000000000 (fma.f64 (log.f64 x) (-.f64 1/2 x) x))
✓	0.2b	(fma.f64 (log.f64 x) (-.f64 1/2 x) x)
✓	5.0b	(/.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000) x)

series13.0ms (0.1%)

Counts

4 → 84

Calls

21 calls:

Time	Variable		Point	Expression
3.0ms	y	@	-inf	(fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000)
1.0ms	x	@	0	(/.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000) x)
1.0ms	z	@	0	(/.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000) x)
1.0ms	y	@	0	(/.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000) x)
1.0ms	y	@	-inf	(/.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000) x)

rewrite98.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

784×	`log-prod_binary64`
341×	`expm1-udef_binary64`
341×	`log1p-udef_binary64`
272×	`prod-diff_binary64`
264×	`log-pow_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	50
1	380	50
2	4816	50

Stop Event

1×	node limit

Counts

4 → 132

Calls

Call 1

Inputs
(/.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000) x)
(fma.f64 (log.f64 x) (-.f64 1/2 x) x)
(-.f64 91893853320467/100000000000000 (fma.f64 (log.f64 x) (-.f64 1/2 x) x))
(fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000)

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (fma.f64 z (fma.f64 z (+.f64 y 7936500793651/10000000000000000) -13888888888889/5000000000000000) 83333333333333/1000000000000000) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (.f64 (cbrt.f64 (exp.f64 (/.f64 (fma.f64 z (fma.f64 z (+.f64 y 7936500793651/10000000000000000) -13888888888889/5000000000000000) 83333333333333/1000000000000000) x))) (cbrt.f64 (exp.f64 (/.f64 (fma.f64 z (fma.f64 z (+.f64 y 7936500793651/10000000000000000) -13888888888889/5000000000000000) 83333333333333/1000000000000000) x))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (fma.f64 z (fma.f64 z (+.f64 y 7936500793651/10000000000000000) -13888888888889/5000000000000000) 83333333333333/1000000000000000) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (fma.f64 z (fma.f64 z (+.f64 y 7936500793651/10000000000000000) -13888888888889/5000000000000000) 83333333333333/1000000000000000) x)))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (fma.f64 z (fma.f64 z (+.f64 y 7936500793651/10000000000000000) -13888888888889/5000000000000000) 83333333333333/1000000000000000) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (fma.f64 z (fma.f64 z (+.f64 y 7936500793651/10000000000000000) -13888888888889/5000000000000000) 83333333333333/1000000000000000) x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (fma.f64 z (fma.f64 z (+.f64 y 7936500793651/10000000000000000) -13888888888889/5000000000000000) 83333333333333/1000000000000000) (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (fma.f64 z (fma.f64 z (+.f64 y 7936500793651/10000000000000000) -13888888888889/5000000000000000) 83333333333333/1000000000000000) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (/.f64 (fma.f64 z (fma.f64 z (+.f64 y 7936500793651/10000000000000000) -13888888888889/5000000000000000) 83333333333333/1000000000000000) x))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (fma.f64 z (fma.f64 z (+.f64 y 7936500793651/10000000000000000) -13888888888889/5000000000000000) 83333333333333/1000000000000000)) 2) (.f64 (cbrt.f64 (fma.f64 z (fma.f64 z (+.f64 y 7936500793651/10000000000000000) -13888888888889/5000000000000000) 83333333333333/1000000000000000)) (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (/.f64 (fma.f64 z (fma.f64 z (+.f64 y 7936500793651/10000000000000000) -13888888888889/5000000000000000) 83333333333333/1000000000000000) x)) (pow.f64 (cbrt.f64 (/.f64 (fma.f64 z (fma.f64 z (+.f64 y 7936500793651/10000000000000000) -13888888888889/5000000000000000) 83333333333333/1000000000000000) x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (/.f64 (fma.f64 z (fma.f64 z (+.f64 y 7936500793651/10000000000000000) -13888888888889/5000000000000000) 83333333333333/1000000000000000) x)) 2) (cbrt.f64 (/.f64 (fma.f64 z (fma.f64 z (+.f64 y 7936500793651/10000000000000000) 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(fma.f64 z (+.f64 y 7936500793651/10000000000000000) -13888888888889/5000000000000000) 83333333333333/1000000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 z (fma.f64 z (+.f64 y 7936500793651/10000000000000000) -13888888888889/5000000000000000) 83333333333333/1000000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 z (fma.f64 z (+.f64 y 7936500793651/10000000000000000) -13888888888889/5000000000000000) 83333333333333/1000000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (fma.f64 z (fma.f64 z (+.f64 y 7936500793651/10000000000000000) -13888888888889/5000000000000000) 83333333333333/1000000000000000)) 1))))))

simplify80.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

873×	`fma-def_binary64`
498×	`distribute-rgt-in_binary64`
343×	`distribute-lft-in_binary64`
308×	`distribute-rgt-out_binary64`
296×	`sub-neg_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	89	1528
1	257	1349
2	632	1277
3	1690	1194
4	5512	1124

Stop Event

1×	node limit

Counts

216 → 181

Calls

Call 1

Inputs
(/.f64 83333333333333/1000000000000000 x)
(+.f64 (.f64 83333333333333/1000000000000000 (/.f64 1 x)) (.f64 -13888888888889/5000000000000000 (/.f64 z x)))
(+.f64 (.f64 83333333333333/1000000000000000 (/.f64 1 x)) (+.f64 (.f64 -13888888888889/5000000000000000 (/.f64 z x)) (.f64 (+.f64 (/.f64 y x) (.f64 7936500793651/10000000000000000 (/.f64 1 x))) (pow.f64 z 2))))
(+.f64 (.f64 83333333333333/1000000000000000 (/.f64 1 x)) (+.f64 (.f64 -13888888888889/5000000000000000 (/.f64 z x)) (.f64 (+.f64 (/.f64 y x) (.f64 7936500793651/10000000000000000 (/.f64 1 x))) (pow.f64 z 2))))
(/.f64 (*.f64 (pow.f64 z 2) (+.f64 7936500793651/10000000000000000 y)) x)
(+.f64 (/.f64 (.f64 (pow.f64 z 2) (+.f64 7936500793651/10000000000000000 y)) x) (.f64 -13888888888889/5000000000000000 (/.f64 z x)))
(+.f64 (.f64 83333333333333/1000000000000000 (/.f64 1 x)) (+.f64 (/.f64 (.f64 (pow.f64 z 2) (+.f64 7936500793651/10000000000000000 y)) x) (*.f64 -13888888888889/5000000000000000 (/.f64 z x))))
(+.f64 (.f64 83333333333333/1000000000000000 (/.f64 1 x)) (+.f64 (/.f64 (.f64 (pow.f64 z 2) (+.f64 7936500793651/10000000000000000 y)) x) (*.f64 -13888888888889/5000000000000000 (/.f64 z x))))
(/.f64 (*.f64 (pow.f64 z 2) (+.f64 7936500793651/10000000000000000 y)) x)
(+.f64 (/.f64 (.f64 (pow.f64 z 2) (+.f64 7936500793651/10000000000000000 y)) x) (.f64 -13888888888889/5000000000000000 (/.f64 z x)))
(+.f64 (.f64 83333333333333/1000000000000000 (/.f64 1 x)) (+.f64 (/.f64 (.f64 (pow.f64 z 2) (+.f64 7936500793651/10000000000000000 y)) x) (*.f64 -13888888888889/5000000000000000 (/.f64 z x))))
(+.f64 (.f64 83333333333333/1000000000000000 (/.f64 1 x)) (+.f64 (/.f64 (.f64 (pow.f64 z 2) (+.f64 7936500793651/10000000000000000 y)) x) (*.f64 -13888888888889/5000000000000000 (/.f64 z x))))
(/.f64 (+.f64 83333333333333/1000000000000000 (.f64 (-.f64 (.f64 7936500793651/10000000000000000 z) 13888888888889/5000000000000000) z)) x)
(+.f64 (/.f64 (.f64 y (pow.f64 z 2)) x) (+.f64 (.f64 83333333333333/1000000000000000 (/.f64 1 x)) (/.f64 (.f64 (-.f64 (.f64 7936500793651/10000000000000000 z) 13888888888889/5000000000000000) z) x)))
(+.f64 (/.f64 (.f64 y (pow.f64 z 2)) x) (+.f64 (.f64 83333333333333/1000000000000000 (/.f64 1 x)) (/.f64 (.f64 (-.f64 (.f64 7936500793651/10000000000000000 z) 13888888888889/5000000000000000) z) x)))
(+.f64 (/.f64 (.f64 y (pow.f64 z 2)) x) (+.f64 (.f64 83333333333333/1000000000000000 (/.f64 1 x)) (/.f64 (.f64 (-.f64 (.f64 7936500793651/10000000000000000 z) 13888888888889/5000000000000000) z) x)))
(/.f64 (*.f64 y (pow.f64 z 2)) x)
(+.f64 (.f64 83333333333333/1000000000000000 (/.f64 1 x)) (+.f64 (/.f64 (.f64 y (pow.f64 z 2)) x) (/.f64 (.f64 (-.f64 (.f64 7936500793651/10000000000000000 z) 13888888888889/5000000000000000) z) x)))
(+.f64 (.f64 83333333333333/1000000000000000 (/.f64 1 x)) (+.f64 (/.f64 (.f64 y (pow.f64 z 2)) x) (/.f64 (.f64 (-.f64 (.f64 7936500793651/10000000000000000 z) 13888888888889/5000000000000000) z) x)))
(+.f64 (.f64 83333333333333/1000000000000000 (/.f64 1 x)) (+.f64 (/.f64 (.f64 y (pow.f64 z 2)) x) (/.f64 (.f64 (-.f64 (.f64 7936500793651/10000000000000000 z) 13888888888889/5000000000000000) z) x)))
(/.f64 (*.f64 y (pow.f64 z 2)) x)
(+.f64 (.f64 83333333333333/1000000000000000 (/.f64 1 x)) (+.f64 (/.f64 (.f64 y (pow.f64 z 2)) x) (/.f64 (.f64 (-.f64 (.f64 7936500793651/10000000000000000 z) 13888888888889/5000000000000000) z) x)))
(+.f64 (.f64 83333333333333/1000000000000000 (/.f64 1 x)) (+.f64 (/.f64 (.f64 y (pow.f64 z 2)) x) (/.f64 (.f64 (-.f64 (.f64 7936500793651/10000000000000000 z) 13888888888889/5000000000000000) z) x)))
(+.f64 (.f64 83333333333333/1000000000000000 (/.f64 1 x)) (+.f64 (/.f64 (.f64 y (pow.f64 z 2)) x) (/.f64 (.f64 (-.f64 (.f64 7936500793651/10000000000000000 z) 13888888888889/5000000000000000) z) x)))
(/.f64 (+.f64 83333333333333/1000000000000000 (.f64 (-.f64 (.f64 z (+.f64 7936500793651/10000000000000000 y)) 13888888888889/5000000000000000) z)) x)
(/.f64 (+.f64 83333333333333/1000000000000000 (.f64 (-.f64 (.f64 z (+.f64 7936500793651/10000000000000000 y)) 13888888888889/5000000000000000) z)) x)
(/.f64 (+.f64 83333333333333/1000000000000000 (.f64 (-.f64 (.f64 z (+.f64 7936500793651/10000000000000000 y)) 13888888888889/5000000000000000) z)) x)
(/.f64 (+.f64 83333333333333/1000000000000000 (.f64 (-.f64 (.f64 z (+.f64 7936500793651/10000000000000000 y)) 13888888888889/5000000000000000) z)) x)
(/.f64 (+.f64 83333333333333/1000000000000000 (.f64 (-.f64 (.f64 z (+.f64 7936500793651/10000000000000000 y)) 13888888888889/5000000000000000) z)) x)
(/.f64 (+.f64 83333333333333/1000000000000000 (.f64 (-.f64 (.f64 z (+.f64 7936500793651/10000000000000000 y)) 13888888888889/5000000000000000) z)) x)
(/.f64 (+.f64 83333333333333/1000000000000000 (.f64 (-.f64 (.f64 z (+.f64 7936500793651/10000000000000000 y)) 13888888888889/5000000000000000) z)) x)
(/.f64 (+.f64 83333333333333/1000000000000000 (.f64 (-.f64 (.f64 z (+.f64 7936500793651/10000000000000000 y)) 13888888888889/5000000000000000) z)) x)
(/.f64 (+.f64 83333333333333/1000000000000000 (.f64 (-.f64 (.f64 z (+.f64 7936500793651/10000000000000000 y)) 13888888888889/5000000000000000) z)) x)
(/.f64 (+.f64 83333333333333/1000000000000000 (.f64 (-.f64 (.f64 z (+.f64 7936500793651/10000000000000000 y)) 13888888888889/5000000000000000) z)) x)
(/.f64 (+.f64 83333333333333/1000000000000000 (.f64 (-.f64 (.f64 z (+.f64 7936500793651/10000000000000000 y)) 13888888888889/5000000000000000) z)) x)
(/.f64 (+.f64 83333333333333/1000000000000000 (.f64 (-.f64 (.f64 z (+.f64 7936500793651/10000000000000000 y)) 13888888888889/5000000000000000) z)) x)
(*.f64 1/2 (log.f64 x))
(+.f64 (.f64 (+.f64 1 (.f64 -1 (log.f64 x))) x) (*.f64 1/2 (log.f64 x)))
(+.f64 (.f64 (+.f64 1 (.f64 -1 (log.f64 x))) x) (*.f64 1/2 (log.f64 x)))
(+.f64 (.f64 (+.f64 1 (.f64 -1 (log.f64 x))) x) (*.f64 1/2 (log.f64 x)))
(*.f64 (+.f64 1 (log.f64 (/.f64 1 x))) x)
(+.f64 (.f64 (+.f64 1 (log.f64 (/.f64 1 x))) x) (.f64 -1/2 (log.f64 (/.f64 1 x))))
(+.f64 (.f64 (+.f64 1 (log.f64 (/.f64 1 x))) x) (.f64 -1/2 (log.f64 (/.f64 1 x))))
(+.f64 (.f64 (+.f64 1 (log.f64 (/.f64 1 x))) x) (.f64 -1/2 (log.f64 (/.f64 1 x))))
(.f64 -1 (.f64 (-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 1) x))
(+.f64 (.f64 1/2 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))) (.f64 -1 (.f64 (-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 1) x)))
(+.f64 (.f64 1/2 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))) (.f64 -1 (.f64 (-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 1) x)))
(+.f64 (.f64 1/2 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))) (.f64 -1 (.f64 (-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 1) x)))
(-.f64 91893853320467/100000000000000 (*.f64 1/2 (log.f64 x)))
(-.f64 (+.f64 91893853320467/100000000000000 (.f64 -1 (.f64 (+.f64 1 (.f64 -1 (log.f64 x))) x))) (.f64 1/2 (log.f64 x)))
(-.f64 (+.f64 91893853320467/100000000000000 (.f64 -1 (.f64 (+.f64 1 (.f64 -1 (log.f64 x))) x))) (.f64 1/2 (log.f64 x)))
(-.f64 (+.f64 91893853320467/100000000000000 (.f64 -1 (.f64 (+.f64 1 (.f64 -1 (log.f64 x))) x))) (.f64 1/2 (log.f64 x)))
(.f64 -1 (.f64 (+.f64 1 (log.f64 (/.f64 1 x))) x))
(-.f64 (+.f64 91893853320467/100000000000000 (.f64 -1 (.f64 (+.f64 1 (log.f64 (/.f64 1 x))) x))) (*.f64 -1/2 (log.f64 (/.f64 1 x))))
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Outputs
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(+.f64 91893853320467/100000000000000 (-.f64 (neg.f64 (.f64 x (+.f64 1 (neg.f64 (log.f64 x))))) (.f64 1/2 (log.f64 x))))
(+.f64 91893853320467/100000000000000 (fma.f64 (neg.f64 (-.f64 1 (log.f64 x))) x (*.f64 (log.f64 x) -1/2)))
(fma.f64 x (+.f64 (log.f64 x) -1) (fma.f64 (log.f64 x) -1/2 91893853320467/100000000000000))
(-.f64 91893853320467/100000000000000 (+.f64 x (*.f64 (log.f64 x) (-.f64 1/2 x))))
(+.f64 (-.f64 91893853320467/100000000000000 x) (*.f64 (log.f64 x) (+.f64 -1/2 x)))
(.f64 -1 (.f64 (-.f64 1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))) x))
(neg.f64 (*.f64 x (+.f64 1 (neg.f64 (log.f64 x)))))
(*.f64 x (neg.f64 (-.f64 1 (log.f64 x))))
(*.f64 x (+.f64 (log.f64 x) -1))
(fma.f64 x (log.f64 x) (neg.f64 x))
(-.f64 (+.f64 91893853320467/100000000000000 (.f64 -1 (.f64 (-.f64 1 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))) x))) (.f64 1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))))
(+.f64 91893853320467/100000000000000 (-.f64 (neg.f64 (.f64 x (+.f64 1 (neg.f64 (log.f64 x))))) (.f64 1/2 (log.f64 x))))
(+.f64 91893853320467/100000000000000 (fma.f64 (neg.f64 (-.f64 1 (log.f64 x))) x (*.f64 (log.f64 x) -1/2)))
(fma.f64 x (+.f64 (log.f64 x) -1) (fma.f64 (log.f64 x) -1/2 91893853320467/100000000000000))
(-.f64 91893853320467/100000000000000 (+.f64 x (*.f64 (log.f64 x) (-.f64 1/2 x))))
(+.f64 (-.f64 91893853320467/100000000000000 x) (*.f64 (log.f64 x) (+.f64 -1/2 x)))
(-.f64 (+.f64 91893853320467/100000000000000 (.f64 -1 (.f64 (-.f64 1 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))) x))) (.f64 1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))))
(+.f64 91893853320467/100000000000000 (-.f64 (neg.f64 (.f64 x (+.f64 1 (neg.f64 (log.f64 x))))) (.f64 1/2 (log.f64 x))))
(+.f64 91893853320467/100000000000000 (fma.f64 (neg.f64 (-.f64 1 (log.f64 x))) x (*.f64 (log.f64 x) -1/2)))
(fma.f64 x (+.f64 (log.f64 x) -1) (fma.f64 (log.f64 x) -1/2 91893853320467/100000000000000))
(-.f64 91893853320467/100000000000000 (+.f64 x (*.f64 (log.f64 x) (-.f64 1/2 x))))
(+.f64 (-.f64 91893853320467/100000000000000 x) (*.f64 (log.f64 x) (+.f64 -1/2 x)))
(-.f64 (+.f64 91893853320467/100000000000000 (.f64 -1 (.f64 (-.f64 1 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))) x))) (.f64 1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))))
(+.f64 91893853320467/100000000000000 (-.f64 (neg.f64 (.f64 x (+.f64 1 (neg.f64 (log.f64 x))))) (.f64 1/2 (log.f64 x))))
(+.f64 91893853320467/100000000000000 (fma.f64 (neg.f64 (-.f64 1 (log.f64 x))) x (*.f64 (log.f64 x) -1/2)))
(fma.f64 x (+.f64 (log.f64 x) -1) (fma.f64 (log.f64 x) -1/2 91893853320467/100000000000000))
(-.f64 91893853320467/100000000000000 (+.f64 x (*.f64 (log.f64 x) (-.f64 1/2 x))))
(+.f64 (-.f64 91893853320467/100000000000000 x) (*.f64 (log.f64 x) (+.f64 -1/2 x)))
83333333333333/1000000000000000
(+.f64 83333333333333/1000000000000000 (*.f64 -13888888888889/5000000000000000 z))
(fma.f64 -13888888888889/5000000000000000 z 83333333333333/1000000000000000)
(+.f64 83333333333333/1000000000000000 (+.f64 (.f64 (pow.f64 z 2) (+.f64 7936500793651/10000000000000000 y)) (.f64 -13888888888889/5000000000000000 z)))
(+.f64 83333333333333/1000000000000000 (fma.f64 (.f64 z z) (+.f64 y 7936500793651/10000000000000000) (.f64 -13888888888889/5000000000000000 z)))
(fma.f64 z (fma.f64 z (+.f64 y 7936500793651/10000000000000000) -13888888888889/5000000000000000) 83333333333333/1000000000000000)
(+.f64 83333333333333/1000000000000000 (+.f64 (.f64 (pow.f64 z 2) (+.f64 7936500793651/10000000000000000 y)) (.f64 -13888888888889/5000000000000000 z)))
(+.f64 83333333333333/1000000000000000 (fma.f64 (.f64 z z) (+.f64 y 7936500793651/10000000000000000) (.f64 -13888888888889/5000000000000000 z)))
(fma.f64 z (fma.f64 z (+.f64 y 7936500793651/10000000000000000) -13888888888889/5000000000000000) 83333333333333/1000000000000000)
(*.f64 (pow.f64 z 2) (+.f64 7936500793651/10000000000000000 y))
(.f64 (.f64 z z) (+.f64 y 7936500793651/10000000000000000))
(.f64 z (.f64 z (+.f64 y 7936500793651/10000000000000000)))
(+.f64 (.f64 (pow.f64 z 2) (+.f64 7936500793651/10000000000000000 y)) (.f64 -13888888888889/5000000000000000 z))
(fma.f64 (.f64 z z) (+.f64 y 7936500793651/10000000000000000) (.f64 -13888888888889/5000000000000000 z))
(*.f64 z (fma.f64 z (+.f64 y 7936500793651/10000000000000000) -13888888888889/5000000000000000))
(+.f64 83333333333333/1000000000000000 (+.f64 (.f64 (pow.f64 z 2) (+.f64 7936500793651/10000000000000000 y)) (.f64 -13888888888889/5000000000000000 z)))
(+.f64 83333333333333/1000000000000000 (fma.f64 (.f64 z z) (+.f64 y 7936500793651/10000000000000000) (.f64 -13888888888889/5000000000000000 z)))
(fma.f64 z (fma.f64 z (+.f64 y 7936500793651/10000000000000000) -13888888888889/5000000000000000) 83333333333333/1000000000000000)
(+.f64 83333333333333/1000000000000000 (+.f64 (.f64 (pow.f64 z 2) (+.f64 7936500793651/10000000000000000 y)) (.f64 -13888888888889/5000000000000000 z)))
(+.f64 83333333333333/1000000000000000 (fma.f64 (.f64 z z) (+.f64 y 7936500793651/10000000000000000) (.f64 -13888888888889/5000000000000000 z)))
(fma.f64 z (fma.f64 z (+.f64 y 7936500793651/10000000000000000) -13888888888889/5000000000000000) 83333333333333/1000000000000000)
(*.f64 (pow.f64 z 2) (+.f64 7936500793651/10000000000000000 y))
(.f64 (.f64 z z) (+.f64 y 7936500793651/10000000000000000))
(.f64 z (.f64 z (+.f64 y 7936500793651/10000000000000000)))
(+.f64 (.f64 (pow.f64 z 2) (+.f64 7936500793651/10000000000000000 y)) (.f64 -13888888888889/5000000000000000 z))
(fma.f64 (.f64 z z) (+.f64 y 7936500793651/10000000000000000) (.f64 -13888888888889/5000000000000000 z))
(*.f64 z (fma.f64 z (+.f64 y 7936500793651/10000000000000000) -13888888888889/5000000000000000))
(+.f64 83333333333333/1000000000000000 (+.f64 (.f64 (pow.f64 z 2) (+.f64 7936500793651/10000000000000000 y)) (.f64 -13888888888889/5000000000000000 z)))
(+.f64 83333333333333/1000000000000000 (fma.f64 (.f64 z z) (+.f64 y 7936500793651/10000000000000000) (.f64 -13888888888889/5000000000000000 z)))
(fma.f64 z (fma.f64 z (+.f64 y 7936500793651/10000000000000000) -13888888888889/5000000000000000) 83333333333333/1000000000000000)
(+.f64 83333333333333/1000000000000000 (+.f64 (.f64 (pow.f64 z 2) (+.f64 7936500793651/10000000000000000 y)) (.f64 -13888888888889/5000000000000000 z)))
(+.f64 83333333333333/1000000000000000 (fma.f64 (.f64 z z) (+.f64 y 7936500793651/10000000000000000) (.f64 -13888888888889/5000000000000000 z)))
(fma.f64 z (fma.f64 z (+.f64 y 7936500793651/10000000000000000) -13888888888889/5000000000000000) 83333333333333/1000000000000000)
(+.f64 83333333333333/1000000000000000 (.f64 (-.f64 (.f64 7936500793651/10000000000000000 z) 13888888888889/5000000000000000) z))
(+.f64 83333333333333/1000000000000000 (*.f64 z (fma.f64 7936500793651/10000000000000000 z -13888888888889/5000000000000000)))
(fma.f64 z (fma.f64 z 7936500793651/10000000000000000 -13888888888889/5000000000000000) 83333333333333/1000000000000000)
(+.f64 (.f64 y (pow.f64 z 2)) (+.f64 83333333333333/1000000000000000 (.f64 (-.f64 (*.f64 7936500793651/10000000000000000 z) 13888888888889/5000000000000000) z)))
(+.f64 83333333333333/1000000000000000 (fma.f64 (.f64 z z) (+.f64 y 7936500793651/10000000000000000) (.f64 -13888888888889/5000000000000000 z)))
(fma.f64 z (fma.f64 z (+.f64 y 7936500793651/10000000000000000) -13888888888889/5000000000000000) 83333333333333/1000000000000000)
(+.f64 (.f64 y (pow.f64 z 2)) (+.f64 83333333333333/1000000000000000 (.f64 (-.f64 (*.f64 7936500793651/10000000000000000 z) 13888888888889/5000000000000000) z)))
(+.f64 83333333333333/1000000000000000 (fma.f64 (.f64 z z) (+.f64 y 7936500793651/10000000000000000) (.f64 -13888888888889/5000000000000000 z)))
(fma.f64 z (fma.f64 z (+.f64 y 7936500793651/10000000000000000) -13888888888889/5000000000000000) 83333333333333/1000000000000000)
(+.f64 (.f64 y (pow.f64 z 2)) (+.f64 83333333333333/1000000000000000 (.f64 (-.f64 (*.f64 7936500793651/10000000000000000 z) 13888888888889/5000000000000000) z)))
(+.f64 83333333333333/1000000000000000 (fma.f64 (.f64 z z) (+.f64 y 7936500793651/10000000000000000) (.f64 -13888888888889/5000000000000000 z)))
(fma.f64 z (fma.f64 z (+.f64 y 7936500793651/10000000000000000) -13888888888889/5000000000000000) 83333333333333/1000000000000000)
(*.f64 y (pow.f64 z 2))
(.f64 y (.f64 z z))
(.f64 z (.f64 z y))
(+.f64 83333333333333/1000000000000000 (+.f64 (.f64 y (pow.f64 z 2)) (.f64 (-.f64 (*.f64 7936500793651/10000000000000000 z) 13888888888889/5000000000000000) z)))
(+.f64 83333333333333/1000000000000000 (fma.f64 (.f64 z z) (+.f64 y 7936500793651/10000000000000000) (.f64 -13888888888889/5000000000000000 z)))
(fma.f64 z (fma.f64 z (+.f64 y 7936500793651/10000000000000000) -13888888888889/5000000000000000) 83333333333333/1000000000000000)
(+.f64 83333333333333/1000000000000000 (+.f64 (.f64 y (pow.f64 z 2)) (.f64 (-.f64 (*.f64 7936500793651/10000000000000000 z) 13888888888889/5000000000000000) z)))
(+.f64 83333333333333/1000000000000000 (fma.f64 (.f64 z z) (+.f64 y 7936500793651/10000000000000000) (.f64 -13888888888889/5000000000000000 z)))
(fma.f64 z (fma.f64 z (+.f64 y 7936500793651/10000000000000000) -13888888888889/5000000000000000) 83333333333333/1000000000000000)
(+.f64 83333333333333/1000000000000000 (+.f64 (.f64 y (pow.f64 z 2)) (.f64 (-.f64 (*.f64 7936500793651/10000000000000000 z) 13888888888889/5000000000000000) z)))
(+.f64 83333333333333/1000000000000000 (fma.f64 (.f64 z z) (+.f64 y 7936500793651/10000000000000000) (.f64 -13888888888889/5000000000000000 z)))
(fma.f64 z (fma.f64 z (+.f64 y 7936500793651/10000000000000000) -13888888888889/5000000000000000) 83333333333333/1000000000000000)
(*.f64 y (pow.f64 z 2))
(.f64 y (.f64 z z))
(.f64 z (.f64 z y))
(+.f64 83333333333333/1000000000000000 (+.f64 (.f64 y (pow.f64 z 2)) (.f64 (-.f64 (*.f64 7936500793651/10000000000000000 z) 13888888888889/5000000000000000) z)))
(+.f64 83333333333333/1000000000000000 (fma.f64 (.f64 z z) (+.f64 y 7936500793651/10000000000000000) (.f64 -13888888888889/5000000000000000 z)))
(fma.f64 z (fma.f64 z (+.f64 y 7936500793651/10000000000000000) -13888888888889/5000000000000000) 83333333333333/1000000000000000)
(+.f64 83333333333333/1000000000000000 (+.f64 (.f64 y (pow.f64 z 2)) (.f64 (-.f64 (*.f64 7936500793651/10000000000000000 z) 13888888888889/5000000000000000) z)))
(+.f64 83333333333333/1000000000000000 (fma.f64 (.f64 z z) (+.f64 y 7936500793651/10000000000000000) (.f64 -13888888888889/5000000000000000 z)))
(fma.f64 z (fma.f64 z (+.f64 y 7936500793651/10000000000000000) -13888888888889/5000000000000000) 83333333333333/1000000000000000)
(+.f64 83333333333333/1000000000000000 (+.f64 (.f64 y (pow.f64 z 2)) (.f64 (-.f64 (*.f64 7936500793651/10000000000000000 z) 13888888888889/5000000000000000) z)))
(+.f64 83333333333333/1000000000000000 (fma.f64 (.f64 z z) (+.f64 y 7936500793651/10000000000000000) (.f64 -13888888888889/5000000000000000 z)))
(fma.f64 z (fma.f64 z (+.f64 y 7936500793651/10000000000000000) -13888888888889/5000000000000000) 83333333333333/1000000000000000)

eval470.0ms (2.9%)

Compiler: Compiled 11343 to 7403 computations (34.7% saved)

prune136.0ms (0.8%)

Pruning

32 alts after pruning (32 fresh and 0 done)

	Pruned	Kept	Total
New	355	32	387
Fresh	0	0	0
Picked	1	0	1
Done	1	0	1
Total	357	32	389

Error

0.0b

Counts

389 → 32

Alt Table

Click to see full alt table

Status	Error	Program
	11.4b	(+.f64 (+.f64 (-.f64 (.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (/.f64 (+.f64 (.f64 -13888888888889/5000000000000000 z) 83333333333333/1000000000000000) x))
▶	11.5b	(+.f64 (+.f64 (-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (/.f64 83333333333333/1000000000000000 x))
	5.5b	(+.f64 (+.f64 (.f64 x (+.f64 -1 (log.f64 x))) 91893853320467/100000000000000) (/.f64 (+.f64 (.f64 (-.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000) x))
	21.1b	(+.f64 (-.f64 91893853320467/100000000000000 (fma.f64 (log.f64 x) (-.f64 1/2 x) x)) (.f64 z (.f64 (/.f64 z x) (+.f64 y 7936500793651/10000000000000000))))
	5.4b	(+.f64 (+.f64 (-.f64 (pow.f64 (sqrt.f64 (.f64 (+.f64 x -1/2) (log.f64 x))) 2) x) 91893853320467/100000000000000) (/.f64 (+.f64 (.f64 (-.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000) x))
	5.4b	(+.f64 (+.f64 (fma.f64 (sqrt.f64 (.f64 (+.f64 x -1/2) (log.f64 x))) (sqrt.f64 (.f64 (+.f64 x -1/2) (log.f64 x))) (neg.f64 x)) 91893853320467/100000000000000) (/.f64 (+.f64 (.f64 (-.f64 (.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000) x))
	26.3b	(+.f64 (+.f64 (-.f64 (.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (.f64 y (*.f64 z (/.f64 z x))))
	5.8b	(+.f64 (+.f64 (-.f64 (pow.f64 (cbrt.f64 (.f64 (+.f64 x -1/2) (log.f64 x))) 3) x) 91893853320467/100000000000000) (/.f64 (+.f64 (.f64 (-.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000) x))
▶	5.3b	(+.f64 (+.f64 (-.f64 91893853320467/100000000000000 x) (*.f64 (log.f64 x) (+.f64 -1/2 x))) (/.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000) x))
	29.2b	(+.f64 (+.f64 (-.f64 (.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (/.f64 (.f64 y (pow.f64 z 2)) x))
▶	5.3b	(+.f64 (+.f64 (-.f64 (.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (/.f64 (+.f64 (+.f64 (.f64 (.f64 (+.f64 y 7936500793651/10000000000000000) z) z) (.f64 -13888888888889/5000000000000000 z)) 83333333333333/1000000000000000) x))
	5.3b	(+.f64 (+.f64 (-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (pow.f64 (/.f64 x (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000)) -1))
	10.6b	(+.f64 (+.f64 (-.f64 (.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (.f64 (sqrt.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000)) (*.f64 (sqrt.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000)) (/.f64 1 x))))
▶	0.3b	(+.f64 (+.f64 (-.f64 (.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (+.f64 (/.f64 83333333333333/1000000000000000 x) (.f64 (/.f64 z x) (fma.f64 z (+.f64 7936500793651/10000000000000000 y) -13888888888889/5000000000000000))))
	10.7b	(+.f64 (+.f64 (-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (pow.f64 (sqrt.f64 (/.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000) x)) 2))
	34.0b	(+.f64 (+.f64 (.f64 -1/2 (log.f64 x)) 91893853320467/100000000000000) (/.f64 (+.f64 (.f64 (-.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000) x))
	11.5b	(+.f64 (-.f64 91893853320467/100000000000000 (fma.f64 (log.f64 x) (-.f64 1/2 x) x)) (/.f64 83333333333333/1000000000000000 x))
	9.5b	(+.f64 (+.f64 (-.f64 (.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (/.f64 (+.f64 83333333333333/1000000000000000 (.f64 (-.f64 (*.f64 7936500793651/10000000000000000 z) 13888888888889/5000000000000000) z)) x))
	22.5b	(+.f64 (+.f64 (-.f64 (/.f64 (.f64 (fma.f64 x x -1/4) (log.f64 x)) (+.f64 x 1/2)) x) 91893853320467/100000000000000) (/.f64 (+.f64 (.f64 (-.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000) x))
	11.1b	(+.f64 (-.f64 91893853320467/100000000000000 (fma.f64 (log.f64 x) (-.f64 1/2 x) x)) (/.f64 (expm1.f64 (log1p.f64 (fma.f64 z (fma.f64 z (+.f64 y 7936500793651/10000000000000000) -13888888888889/5000000000000000) 83333333333333/1000000000000000))) x))
	20.9b	(+.f64 (+.f64 (-.f64 (.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (.f64 (/.f64 z x) (*.f64 z (+.f64 7936500793651/10000000000000000 y))))
	9.5b	(+.f64 (+.f64 (-.f64 (.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (+.f64 (.f64 83333333333333/1000000000000000 (/.f64 1 x)) (+.f64 (.f64 -13888888888889/5000000000000000 (/.f64 z x)) (.f64 (+.f64 (/.f64 y x) (*.f64 7936500793651/10000000000000000 (/.f64 1 x))) (pow.f64 z 2)))))
	5.7b	(+.f64 (+.f64 (pow.f64 (sqrt.f64 (-.f64 (.f64 (+.f64 x -1/2) (log.f64 x)) x)) 2) 91893853320467/100000000000000) (/.f64 (+.f64 (.f64 (-.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000) x))
	32.6b	(+.f64 (+.f64 (+.f64 (fma.f64 (sqrt.f64 (log.f64 x)) (.f64 (sqrt.f64 (log.f64 x)) (+.f64 x -1/2)) (neg.f64 x)) (fma.f64 -1 x x)) 91893853320467/100000000000000) (/.f64 (+.f64 (.f64 (-.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000) x))
▶	26.2b	(+.f64 (+.f64 (-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (cbrt.f64 (pow.f64 (/.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000) x) 3)))
	5.9b	(+.f64 (+.f64 (-.f64 (.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (.f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000) (cbrt.f64 x))))
	5.7b	(+.f64 (+.f64 (pow.f64 (cbrt.f64 (-.f64 (.f64 (+.f64 x -1/2) (log.f64 x)) x)) 3) 91893853320467/100000000000000) (/.f64 (+.f64 (.f64 (-.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000) x))
	5.8b	(+.f64 (+.f64 (-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (pow.f64 (cbrt.f64 (/.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000) x)) 3))
	26.5b	(+.f64 (+.f64 (cbrt.f64 (pow.f64 (-.f64 (.f64 (+.f64 x -1/2) (log.f64 x)) x) 3)) 91893853320467/100000000000000) (/.f64 (+.f64 (.f64 (-.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000) x))
	20.8b	(+.f64 (+.f64 (-.f64 (.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (.f64 (/.f64 z x) (fma.f64 z (+.f64 7936500793651/10000000000000000 y) -13888888888889/5000000000000000)))
	25.9b	(+.f64 (+.f64 (-.f64 (.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (/.f64 (.f64 (pow.f64 z 2) (+.f64 7936500793651/10000000000000000 y)) x))
	11.4b	(+.f64 (+.f64 (-.f64 (.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (+.f64 (.f64 83333333333333/1000000000000000 (/.f64 1 x)) (*.f64 -13888888888889/5000000000000000 (/.f64 z x))))

Compiler

Compiled 1742 to 1284 computations (26.3% saved)

localize19.0ms (0.1%)

Local error

Found 8 expressions with local error:

New	Error	Program
	0.0b	(fma.f64 z (+.f64 7936500793651/10000000000000000 y) -13888888888889/5000000000000000)
	0.0b	(+.f64 (/.f64 83333333333333/1000000000000000 x) (*.f64 (/.f64 z x) (fma.f64 z (+.f64 7936500793651/10000000000000000 y) -13888888888889/5000000000000000)))
	0.0b	(+.f64 (+.f64 (-.f64 (.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (+.f64 (/.f64 83333333333333/1000000000000000 x) (.f64 (/.f64 z x) (fma.f64 z (+.f64 7936500793651/10000000000000000 y) -13888888888889/5000000000000000))))
	0.0b	(+.f64 7936500793651/10000000000000000 y)
	0.1b	(*.f64 (-.f64 x 1/2) (log.f64 x))
	0.2b	(-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x)
✓	0.3b	(/.f64 83333333333333/1000000000000000 x)
✓	1.3b	(*.f64 (/.f64 z x) (fma.f64 z (+.f64 7936500793651/10000000000000000 y) -13888888888889/5000000000000000))

series12.0ms (0.1%)

Counts

2 → 36

Calls

12 calls:

Time	Variable		Point	Expression
5.0ms	x	@	-inf	(*.f64 (/.f64 z x) (fma.f64 z (+.f64 7936500793651/10000000000000000 y) -13888888888889/5000000000000000))
1.0ms	z	@	-inf	(*.f64 (/.f64 z x) (fma.f64 z (+.f64 7936500793651/10000000000000000 y) -13888888888889/5000000000000000))
1.0ms	z	@	inf	(*.f64 (/.f64 z x) (fma.f64 z (+.f64 7936500793651/10000000000000000 y) -13888888888889/5000000000000000))
1.0ms	x	@	inf	(*.f64 (/.f64 z x) (fma.f64 z (+.f64 7936500793651/10000000000000000 y) -13888888888889/5000000000000000))
1.0ms	z	@	0	(*.f64 (/.f64 z x) (fma.f64 z (+.f64 7936500793651/10000000000000000 y) -13888888888889/5000000000000000))

rewrite97.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

588×	`log-prod_binary64`
363×	`pow-prod-down_binary64`
339×	`pow2_binary64`
238×	`pow1/3_binary64`
236×	`expm1-udef_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	18
1	265	18
2	3379	18

Stop Event

1×	node limit

Counts

2 → 59

Calls

Call 1

Inputs
(*.f64 (/.f64 z x) (fma.f64 z (+.f64 7936500793651/10000000000000000 y) -13888888888889/5000000000000000))
(/.f64 83333333333333/1000000000000000 x)

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (/.f64 z x) (fma.f64 z (+.f64 7936500793651/10000000000000000 y) -13888888888889/5000000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 z (+.f64 7936500793651/10000000000000000 y)) (/.f64 z x)) (*.f64 -13888888888889/5000000000000000 (/.f64 z x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 z x) (*.f64 z (+.f64 7936500793651/10000000000000000 y))) (*.f64 (/.f64 z x) -13888888888889/5000000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (/.f64 z x)) (fma.f64 z (+.f64 7936500793651/10000000000000000 y) -13888888888889/5000000000000000))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (/.f64 z x)) (fma.f64 z (+.f64 7936500793651/10000000000000000 y) -13888888888889/5000000000000000)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (/.f64 z x)) (fma.f64 z (+.f64 7936500793651/10000000000000000 y) -13888888888889/5000000000000000)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (/.f64 z x)) (fma.f64 z (+.f64 7936500793651/10000000000000000 y) -13888888888889/5000000000000000)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 z x) (fma.f64 z (+.f64 7936500793651/10000000000000000 y) -13888888888889/5000000000000000)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 z (/.f64 x (fma.f64 z (+.f64 7936500793651/10000000000000000 y) -13888888888889/5000000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 z (+.f64 7936500793651/10000000000000000 y) -13888888888889/5000000000000000) (/.f64 x z))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 x (*.f64 z (fma.f64 z (+.f64 7936500793651/10000000000000000 y) -13888888888889/5000000000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 z (fma.f64 z (+.f64 7936500793651/10000000000000000 y) -13888888888889/5000000000000000)) x)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 z (fma.f64 z (+.f64 7936500793651/10000000000000000 y) -13888888888889/5000000000000000))) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 z (fma.f64 z (+.f64 7936500793651/10000000000000000 y) -13888888888889/5000000000000000)) 1) x)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 z (fma.f64 z (+.f64 7936500793651/10000000000000000 y) -13888888888889/5000000000000000)) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 z (fma.f64 z (+.f64 7936500793651/10000000000000000 y) -13888888888889/5000000000000000)) (sqrt.f64 x)) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 z) (fma.f64 z (+.f64 7936500793651/10000000000000000 y) -13888888888889/5000000000000000)) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (fma.f64 z (+.f64 7936500793651/10000000000000000 y) -13888888888889/5000000000000000) (neg.f64 z)) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 z x) (fma.f64 z (+.f64 7936500793651/10000000000000000 y) -13888888888889/5000000000000000)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (/.f64 z x) (fma.f64 z (+.f64 7936500793651/10000000000000000 y) -13888888888889/5000000000000000)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (/.f64 z x) (fma.f64 z (+.f64 7936500793651/10000000000000000 y) -13888888888889/5000000000000000)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (/.f64 z x) (fma.f64 z (+.f64 7936500793651/10000000000000000 y) -13888888888889/5000000000000000))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (/.f64 z x) (fma.f64 z (+.f64 7936500793651/10000000000000000 y) -13888888888889/5000000000000000))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 x (*.f64 z (fma.f64 z (+.f64 7936500793651/10000000000000000 y) -13888888888889/5000000000000000))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (/.f64 z x) (fma.f64 z (+.f64 7936500793651/10000000000000000 y) -13888888888889/5000000000000000)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (/.f64 z x)) (fma.f64 z (+.f64 7936500793651/10000000000000000 y) -13888888888889/5000000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (/.f64 z x) (fma.f64 z (+.f64 7936500793651/10000000000000000 y) -13888888888889/5000000000000000)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (/.f64 z x) (fma.f64 z (+.f64 7936500793651/10000000000000000 y) -13888888888889/5000000000000000)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (/.f64 z x) (fma.f64 z (+.f64 7936500793651/10000000000000000 y) -13888888888889/5000000000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 z x) (*.f64 z (+.f64 7936500793651/10000000000000000 y)) (*.f64 (/.f64 z x) -13888888888889/5000000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 z (+.f64 7936500793651/10000000000000000 y)) (/.f64 z x) (*.f64 -13888888888889/5000000000000000 (/.f64 z x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (/.f64 z x) (fma.f64 z (+.f64 7936500793651/10000000000000000 y) -13888888888889/5000000000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (/.f64 z x) (fma.f64 z (+.f64 7936500793651/10000000000000000 y) -13888888888889/5000000000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 z x) (fma.f64 z (+.f64 7936500793651/10000000000000000 y) -13888888888889/5000000000000000))) 1))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 83333333333333/1000000000000000 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 83333333333333/1000000000000000 x))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 83333333333333/1000000000000000 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 83333333333333/1000000000000000 x)))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 83333333333333/1000000000000000 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 83333333333333/1000000000000000 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 83333333333333/1000000000000000 (pow.f64 x -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 83333333333333/1000000000000000 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 83333333333333/1000000000000000 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 83333333333333/1000000000000000 x)) (cbrt.f64 (/.f64 6944444444444388888888888889/1000000000000000000000000000000 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 6944444444444388888888888889/1000000000000000000000000000000 (*.f64 x x))) (cbrt.f64 (/.f64 83333333333333/1000000000000000 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 83333333333333/1000000000000000 x)) (sqrt.f64 (/.f64 83333333333333/1000000000000000 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -83333333333333/1000000000000000 (/.f64 1 (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 x -1) 83333333333333/1000000000000000)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 83333333333333/1000000000000000 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 6944444444444388888888888889/1000000000000000000000000000000 (*.f64 x x)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x 1000000000000000/83333333333333) -3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 83333333333333/1000000000000000 x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 83333333333333/1000000000000000 x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x 1000000000000000/83333333333333) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (*.f64 x 1000000000000000/83333333333333) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 6944444444444388888888888889/1000000000000000000000000000000 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 83333333333333/1000000000000000 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 83333333333333/1000000000000000 x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 x 1000000000000000/83333333333333) -3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 83333333333333/1000000000000000 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 83333333333333/1000000000000000 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 83333333333333/1000000000000000 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 83333333333333/1000000000000000 x)) 1))))))

simplify52.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

691×	`fma-neg_binary64`
575×	`associate-l_binary64`
511×	`fma-def_binary64`
408×	`associate-r_binary64`
403×	`cancel-sign-sub-inv_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	33	754
1	80	754
2	166	754
3	371	484
4	1234	484
5	4598	484

Stop Event

1×	node limit

Counts

95 → 72

Calls

Call 1

Inputs
(*.f64 -13888888888889/5000000000000000 (/.f64 z x))
(+.f64 (.f64 -13888888888889/5000000000000000 (/.f64 z x)) (.f64 (+.f64 (/.f64 y x) (*.f64 7936500793651/10000000000000000 (/.f64 1 x))) (pow.f64 z 2)))
(+.f64 (.f64 -13888888888889/5000000000000000 (/.f64 z x)) (.f64 (+.f64 (/.f64 y x) (*.f64 7936500793651/10000000000000000 (/.f64 1 x))) (pow.f64 z 2)))
(+.f64 (.f64 -13888888888889/5000000000000000 (/.f64 z x)) (.f64 (+.f64 (/.f64 y x) (*.f64 7936500793651/10000000000000000 (/.f64 1 x))) (pow.f64 z 2)))
(/.f64 (*.f64 (pow.f64 z 2) (+.f64 7936500793651/10000000000000000 y)) x)
(+.f64 (/.f64 (.f64 (pow.f64 z 2) (+.f64 7936500793651/10000000000000000 y)) x) (.f64 -13888888888889/5000000000000000 (/.f64 z x)))
(+.f64 (/.f64 (.f64 (pow.f64 z 2) (+.f64 7936500793651/10000000000000000 y)) x) (.f64 -13888888888889/5000000000000000 (/.f64 z x)))
(+.f64 (/.f64 (.f64 (pow.f64 z 2) (+.f64 7936500793651/10000000000000000 y)) x) (.f64 -13888888888889/5000000000000000 (/.f64 z x)))
(/.f64 (*.f64 (pow.f64 z 2) (+.f64 7936500793651/10000000000000000 y)) x)
(+.f64 (/.f64 (.f64 (pow.f64 z 2) (+.f64 7936500793651/10000000000000000 y)) x) (.f64 -13888888888889/5000000000000000 (/.f64 z x)))
(+.f64 (/.f64 (.f64 (pow.f64 z 2) (+.f64 7936500793651/10000000000000000 y)) x) (.f64 -13888888888889/5000000000000000 (/.f64 z x)))
(+.f64 (/.f64 (.f64 (pow.f64 z 2) (+.f64 7936500793651/10000000000000000 y)) x) (.f64 -13888888888889/5000000000000000 (/.f64 z x)))
(/.f64 (.f64 (-.f64 (.f64 z (+.f64 7936500793651/10000000000000000 y)) 13888888888889/5000000000000000) z) x)
(/.f64 (.f64 (-.f64 (.f64 z (+.f64 7936500793651/10000000000000000 y)) 13888888888889/5000000000000000) z) x)
(/.f64 (.f64 (-.f64 (.f64 z (+.f64 7936500793651/10000000000000000 y)) 13888888888889/5000000000000000) z) x)
(/.f64 (.f64 (-.f64 (.f64 z (+.f64 7936500793651/10000000000000000 y)) 13888888888889/5000000000000000) z) x)
(/.f64 (.f64 (-.f64 (.f64 z (+.f64 7936500793651/10000000000000000 y)) 13888888888889/5000000000000000) z) x)
(/.f64 (.f64 (-.f64 (.f64 z (+.f64 7936500793651/10000000000000000 y)) 13888888888889/5000000000000000) z) x)
(/.f64 (.f64 (-.f64 (.f64 z (+.f64 7936500793651/10000000000000000 y)) 13888888888889/5000000000000000) z) x)
(/.f64 (.f64 (-.f64 (.f64 z (+.f64 7936500793651/10000000000000000 y)) 13888888888889/5000000000000000) z) x)
(/.f64 (.f64 (-.f64 (.f64 z (+.f64 7936500793651/10000000000000000 y)) 13888888888889/5000000000000000) z) x)
(/.f64 (.f64 (-.f64 (.f64 z (+.f64 7936500793651/10000000000000000 y)) 13888888888889/5000000000000000) z) x)
(/.f64 (.f64 (-.f64 (.f64 z (+.f64 7936500793651/10000000000000000 y)) 13888888888889/5000000000000000) z) x)
(/.f64 (.f64 (-.f64 (.f64 z (+.f64 7936500793651/10000000000000000 y)) 13888888888889/5000000000000000) z) x)
(/.f64 (.f64 (-.f64 (.f64 7936500793651/10000000000000000 z) 13888888888889/5000000000000000) z) x)
(+.f64 (/.f64 (.f64 y (pow.f64 z 2)) x) (/.f64 (.f64 (-.f64 (*.f64 7936500793651/10000000000000000 z) 13888888888889/5000000000000000) z) x))
(+.f64 (/.f64 (.f64 y (pow.f64 z 2)) x) (/.f64 (.f64 (-.f64 (*.f64 7936500793651/10000000000000000 z) 13888888888889/5000000000000000) z) x))
(+.f64 (/.f64 (.f64 y (pow.f64 z 2)) x) (/.f64 (.f64 (-.f64 (*.f64 7936500793651/10000000000000000 z) 13888888888889/5000000000000000) z) x))
(/.f64 (*.f64 y (pow.f64 z 2)) x)
(+.f64 (/.f64 (.f64 y (pow.f64 z 2)) x) (/.f64 (.f64 (-.f64 (*.f64 7936500793651/10000000000000000 z) 13888888888889/5000000000000000) z) x))
(+.f64 (/.f64 (.f64 y (pow.f64 z 2)) x) (/.f64 (.f64 (-.f64 (*.f64 7936500793651/10000000000000000 z) 13888888888889/5000000000000000) z) x))
(+.f64 (/.f64 (.f64 y (pow.f64 z 2)) x) (/.f64 (.f64 (-.f64 (*.f64 7936500793651/10000000000000000 z) 13888888888889/5000000000000000) z) x))
(/.f64 (*.f64 y (pow.f64 z 2)) x)
(+.f64 (/.f64 (.f64 y (pow.f64 z 2)) x) (/.f64 (.f64 (-.f64 (*.f64 7936500793651/10000000000000000 z) 13888888888889/5000000000000000) z) x))
(+.f64 (/.f64 (.f64 y (pow.f64 z 2)) x) (/.f64 (.f64 (-.f64 (*.f64 7936500793651/10000000000000000 z) 13888888888889/5000000000000000) z) x))
(+.f64 (/.f64 (.f64 y (pow.f64 z 2)) x) (/.f64 (.f64 (-.f64 (*.f64 7936500793651/10000000000000000 z) 13888888888889/5000000000000000) z) x))

Outputs
(*.f64 -13888888888889/5000000000000000 (/.f64 z x))
(*.f64 z (/.f64 -13888888888889/5000000000000000 x))
(+.f64 (.f64 -13888888888889/5000000000000000 (/.f64 z x)) (.f64 (+.f64 (/.f64 y x) (*.f64 7936500793651/10000000000000000 (/.f64 1 x))) (pow.f64 z 2)))
(fma.f64 -13888888888889/5000000000000000 (/.f64 z x) (.f64 (+.f64 (/.f64 y x) (/.f64 7936500793651/10000000000000000 x)) (.f64 z z)))
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(.f64 z (.f64 z (/.f64 y x)))
(.f64 z (/.f64 (.f64 z y) x))
(+.f64 (/.f64 (.f64 y (pow.f64 z 2)) x) (/.f64 (.f64 (-.f64 (*.f64 7936500793651/10000000000000000 z) 13888888888889/5000000000000000) z) x))
(fma.f64 -13888888888889/5000000000000000 (/.f64 z x) (.f64 (+.f64 (/.f64 y x) (/.f64 7936500793651/10000000000000000 x)) (.f64 z z)))
(fma.f64 (+.f64 (/.f64 y x) (/.f64 7936500793651/10000000000000000 x)) (.f64 z z) (.f64 -13888888888889/5000000000000000 (/.f64 z x)))
(*.f64 (/.f64 z x) (fma.f64 z (+.f64 y 7936500793651/10000000000000000) -13888888888889/5000000000000000))
(*.f64 z (/.f64 (fma.f64 z (+.f64 y 7936500793651/10000000000000000) -13888888888889/5000000000000000) x))
(+.f64 (/.f64 (.f64 y (pow.f64 z 2)) x) (/.f64 (.f64 (-.f64 (*.f64 7936500793651/10000000000000000 z) 13888888888889/5000000000000000) z) x))
(fma.f64 -13888888888889/5000000000000000 (/.f64 z x) (.f64 (+.f64 (/.f64 y x) (/.f64 7936500793651/10000000000000000 x)) (.f64 z z)))
(fma.f64 (+.f64 (/.f64 y x) (/.f64 7936500793651/10000000000000000 x)) (.f64 z z) (.f64 -13888888888889/5000000000000000 (/.f64 z x)))
(*.f64 (/.f64 z x) (fma.f64 z (+.f64 y 7936500793651/10000000000000000) -13888888888889/5000000000000000))
(*.f64 z (/.f64 (fma.f64 z (+.f64 y 7936500793651/10000000000000000) -13888888888889/5000000000000000) x))
(+.f64 (/.f64 (.f64 y (pow.f64 z 2)) x) (/.f64 (.f64 (-.f64 (*.f64 7936500793651/10000000000000000 z) 13888888888889/5000000000000000) z) x))
(fma.f64 -13888888888889/5000000000000000 (/.f64 z x) (.f64 (+.f64 (/.f64 y x) (/.f64 7936500793651/10000000000000000 x)) (.f64 z z)))
(fma.f64 (+.f64 (/.f64 y x) (/.f64 7936500793651/10000000000000000 x)) (.f64 z z) (.f64 -13888888888889/5000000000000000 (/.f64 z x)))
(*.f64 (/.f64 z x) (fma.f64 z (+.f64 y 7936500793651/10000000000000000) -13888888888889/5000000000000000))
(*.f64 z (/.f64 (fma.f64 z (+.f64 y 7936500793651/10000000000000000) -13888888888889/5000000000000000) x))

localize12.0ms (0.1%)

Local error

Found 8 expressions with local error:

New	Error	Program
	0.3b	(/.f64 83333333333333/1000000000000000 x)
	0.2b	(-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x)
	0.1b	(*.f64 (-.f64 x 1/2) (log.f64 x))
	0.1b	(+.f64 (-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000)
✓	0.1b	(+.f64 (-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000)
	0.1b	(*.f64 (-.f64 x 1/2) (log.f64 x))
	0.2b	(-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x)
	0.3b	(/.f64 83333333333333/1000000000000000 x)

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

Time

Variable

Point

Expression

0.0ms

(+.f64 (-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000)

0.0ms

-inf

(+.f64 (-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000)

0.0ms

inf

(+.f64 (-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000)

rewrite71.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

773×	`prod-diff_binary64`
464×	`log-prod_binary64`
432×	`fma-def_binary64`
308×	`fma-neg_binary64`
282×	`pow2_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	9	15
1	214	15
2	2950	14

Stop Event

1×	node limit

Counts

1 → 75

Calls

Call 1

Inputs
(+.f64 (-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000)

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (log.f64 (pow.f64 x (+.f64 x -1/2))) (+.f64 x -91893853320467/100000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (fma.f64 -1 x 91893853320467/100000000000000)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (-.f64 (log.f64 (pow.f64 x (+.f64 x -1/2))) x) 2) (fma.f64 (+.f64 x -1/2) (log.f64 x) (fma.f64 -1 x -91893853320467/100000000000000))) (/.f64 8444480278083503881401098089/10000000000000000000000000000 (fma.f64 (+.f64 x -1/2) (log.f64 x) (fma.f64 -1 x -91893853320467/100000000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 91893853320467/100000000000000 (log.f64 (pow.f64 x (+.f64 x -1/2)))) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (fma.f64 -1 x 91893853320467/100000000000000)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 (+.f64 x -1/2) (log.f64 x) (fma.f64 -1 x 91893853320467/100000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (fma.f64 -1 x 91893853320467/100000000000000))) (pow.f64 (cbrt.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (fma.f64 -1 x 91893853320467/100000000000000))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (fma.f64 -1 x 91893853320467/100000000000000))) 2) (cbrt.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (fma.f64 -1 x 91893853320467/100000000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (fma.f64 -1 x 91893853320467/100000000000000))) (sqrt.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (fma.f64 -1 x 91893853320467/100000000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 775995832041781888678988180190112618287563/1000000000000000000000000000000000000000000 (pow.f64 (-.f64 (log.f64 (pow.f64 x (+.f64 x -1/2))) x) 3)) (/.f64 1 (-.f64 (+.f64 (pow.f64 (-.f64 (log.f64 (pow.f64 x (+.f64 x -1/2))) x) 2) 8444480278083503881401098089/10000000000000000000000000000) (*.f64 (-.f64 (log.f64 (pow.f64 x (+.f64 x -1/2))) x) 91893853320467/100000000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (-.f64 (log.f64 (pow.f64 x (+.f64 x -1/2))) x) 2) -8444480278083503881401098089/10000000000000000000000000000) (/.f64 1 (fma.f64 (+.f64 x -1/2) (log.f64 x) (fma.f64 -1 x -91893853320467/100000000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 (+.f64 (pow.f64 (-.f64 (log.f64 (pow.f64 x (+.f64 x -1/2))) x) 2) 8444480278083503881401098089/10000000000000000000000000000) (*.f64 (-.f64 (log.f64 (pow.f64 x (+.f64 x -1/2))) x) 91893853320467/100000000000000)) (+.f64 775995832041781888678988180190112618287563/1000000000000000000000000000000000000000000 (pow.f64 (-.f64 (log.f64 (pow.f64 x (+.f64 x -1/2))) x) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (fma.f64 -1 x -91893853320467/100000000000000)) (+.f64 (pow.f64 (-.f64 (log.f64 (pow.f64 x (+.f64 x -1/2))) x) 2) -8444480278083503881401098089/10000000000000000000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 775995832041781888678988180190112618287563/1000000000000000000000000000000000000000000 (pow.f64 (-.f64 (log.f64 (pow.f64 x (+.f64 x -1/2))) x) 3)) (-.f64 (+.f64 (pow.f64 (-.f64 (log.f64 (pow.f64 x (+.f64 x -1/2))) x) 2) 8444480278083503881401098089/10000000000000000000000000000) (*.f64 (-.f64 (log.f64 (pow.f64 x (+.f64 x -1/2))) x) 91893853320467/100000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 775995832041781888678988180190112618287563/1000000000000000000000000000000000000000000 (pow.f64 (-.f64 (log.f64 (pow.f64 x (+.f64 x -1/2))) x) 3)) (+.f64 8444480278083503881401098089/10000000000000000000000000000 (-.f64 (pow.f64 (-.f64 (log.f64 (pow.f64 x (+.f64 x -1/2))) x) 2) (*.f64 (-.f64 (log.f64 (pow.f64 x (+.f64 x -1/2))) x) 91893853320467/100000000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (-.f64 (log.f64 (pow.f64 x (+.f64 x -1/2))) x) 2) -8444480278083503881401098089/10000000000000000000000000000) (fma.f64 (+.f64 x -1/2) (log.f64 x) (fma.f64 -1 x -91893853320467/100000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 775995832041781888678988180190112618287563/1000000000000000000000000000000000000000000 (pow.f64 (-.f64 (log.f64 (pow.f64 x (+.f64 x -1/2))) x) 3))) (neg.f64 (-.f64 (+.f64 (pow.f64 (-.f64 (log.f64 (pow.f64 x (+.f64 x -1/2))) x) 2) 8444480278083503881401098089/10000000000000000000000000000) (*.f64 (-.f64 (log.f64 (pow.f64 x (+.f64 x -1/2))) x) 91893853320467/100000000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 (-.f64 (log.f64 (pow.f64 x (+.f64 x -1/2))) x) 2) -8444480278083503881401098089/10000000000000000000000000000)) (neg.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (fma.f64 -1 x -91893853320467/100000000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (log.f64 (pow.f64 x (+.f64 x -1/2))) 3) (pow.f64 (+.f64 x -91893853320467/100000000000000) 3)) (+.f64 (pow.f64 (log.f64 (pow.f64 x (+.f64 x -1/2))) 2) (+.f64 (pow.f64 (+.f64 x -91893853320467/100000000000000) 2) (*.f64 (log.f64 (pow.f64 x (+.f64 x -1/2))) (+.f64 x -91893853320467/100000000000000)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 8444480278083503881401098089/10000000000000000000000000000 (pow.f64 (-.f64 (log.f64 (pow.f64 x (+.f64 x -1/2))) x) 2)) (-.f64 91893853320467/100000000000000 (-.f64 (log.f64 (pow.f64 x (+.f64 x -1/2))) x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (log.f64 (pow.f64 x (+.f64 x -1/2))) 2) (pow.f64 (+.f64 x -91893853320467/100000000000000) 2)) (fma.f64 (+.f64 x -1/2) (log.f64 x) (+.f64 x -91893853320467/100000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (fma.f64 -1 x 91893853320467/100000000000000)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (fma.f64 -1 x 91893853320467/100000000000000)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (fma.f64 -1 x 91893853320467/100000000000000)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (fma.f64 -1 x 91893853320467/100000000000000))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (fma.f64 -1 x 91893853320467/100000000000000))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (-.f64 (+.f64 (pow.f64 (-.f64 (log.f64 (pow.f64 x (+.f64 x -1/2))) x) 2) 8444480278083503881401098089/10000000000000000000000000000) (*.f64 (-.f64 (log.f64 (pow.f64 x (+.f64 x -1/2))) x) 91893853320467/100000000000000)) (+.f64 775995832041781888678988180190112618287563/1000000000000000000000000000000000000000000 (pow.f64 (-.f64 (log.f64 (pow.f64 x (+.f64 x -1/2))) x) 3))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (fma.f64 -1 x -91893853320467/100000000000000)) (+.f64 (pow.f64 (-.f64 (log.f64 (pow.f64 x (+.f64 x -1/2))) x) 2) -8444480278083503881401098089/10000000000000000000000000000)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (fma.f64 -1 x 91893853320467/100000000000000)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (/.f64 (pow.f64 x (+.f64 x -1/2)) (exp.f64 (+.f64 x -91893853320467/100000000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (fma.f64 -1 x 91893853320467/100000000000000)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (/.f64 (+.f64 1 (-.f64 (pow.f64 x (+.f64 x -1/2)) 1)) (exp.f64 (+.f64 x -91893853320467/100000000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (fma.f64 -1 x 91893853320467/100000000000000)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (fma.f64 -1 x 91893853320467/100000000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 x -1/2) (log.f64 x) (neg.f64 (+.f64 x -91893853320467/100000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 x -1/2) (log.f64 x) (fma.f64 -1 x 91893853320467/100000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (log.f64 x) (+.f64 x -1/2) (neg.f64 (+.f64 x -91893853320467/100000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (log.f64 x) (+.f64 x -1/2) (fma.f64 -1 x 91893853320467/100000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (log.f64 (pow.f64 x (+.f64 x -1/2))) 1 (neg.f64 (+.f64 x -91893853320467/100000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (log.f64 (pow.f64 x (+.f64 x -1/2))) 1 (fma.f64 -1 x 91893853320467/100000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (log.f64 (pow.f64 x (+.f64 x -1/2))) x) 1 91893853320467/100000000000000)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (log.f64 (pow.f64 x (+.f64 x -1/2))) (neg.f64 (+.f64 x -91893853320467/100000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (log.f64 (pow.f64 x (+.f64 x -1/2))) (fma.f64 -1 x 91893853320467/100000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (-.f64 (log.f64 (pow.f64 x (+.f64 x -1/2))) x) 91893853320467/100000000000000)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (log.f64 x)) 2) (*.f64 (cbrt.f64 (log.f64 x)) (+.f64 x -1/2)) (neg.f64 (+.f64 x -91893853320467/100000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (log.f64 x)) 2) (*.f64 (cbrt.f64 (log.f64 x)) (+.f64 x -1/2)) (fma.f64 -1 x 91893853320467/100000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (log.f64 (pow.f64 x (+.f64 x -1/2)))) (pow.f64 (cbrt.f64 (log.f64 (pow.f64 x (+.f64 x -1/2)))) 2) (neg.f64 (+.f64 x -91893853320467/100000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (log.f64 (pow.f64 x (+.f64 x -1/2)))) (pow.f64 (cbrt.f64 (log.f64 (pow.f64 x (+.f64 x -1/2)))) 2) (fma.f64 -1 x 91893853320467/100000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (log.f64 (pow.f64 x (+.f64 x -1/2)))) 2) (cbrt.f64 (log.f64 (pow.f64 x (+.f64 x -1/2)))) (neg.f64 (+.f64 x -91893853320467/100000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (log.f64 (pow.f64 x (+.f64 x -1/2)))) 2) (cbrt.f64 (log.f64 (pow.f64 x (+.f64 x -1/2)))) (fma.f64 -1 x 91893853320467/100000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (-.f64 (log.f64 (pow.f64 x (+.f64 x -1/2))) x)) (pow.f64 (cbrt.f64 (-.f64 (log.f64 (pow.f64 x (+.f64 x -1/2))) x)) 2) 91893853320467/100000000000000)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (-.f64 (log.f64 (pow.f64 x (+.f64 x -1/2))) x)) 2) (cbrt.f64 (-.f64 (log.f64 (pow.f64 x (+.f64 x -1/2))) x)) 91893853320467/100000000000000)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (+.f64 x -1/2)) 2) (*.f64 (cbrt.f64 (+.f64 x -1/2)) (log.f64 x)) (neg.f64 (+.f64 x -91893853320467/100000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (+.f64 x -1/2)) 2) (*.f64 (cbrt.f64 (+.f64 x -1/2)) (log.f64 x)) (fma.f64 -1 x 91893853320467/100000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (log.f64 x)) (*.f64 (sqrt.f64 (log.f64 x)) (+.f64 x -1/2)) (neg.f64 (+.f64 x -91893853320467/100000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (log.f64 x)) (*.f64 (sqrt.f64 (log.f64 x)) (+.f64 x -1/2)) (fma.f64 -1 x 91893853320467/100000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (log.f64 (pow.f64 x (+.f64 x -1/2)))) (sqrt.f64 (log.f64 (pow.f64 x (+.f64 x -1/2)))) (neg.f64 (+.f64 x -91893853320467/100000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (log.f64 (pow.f64 x (+.f64 x -1/2)))) (sqrt.f64 (log.f64 (pow.f64 x (+.f64 x -1/2)))) (fma.f64 -1 x 91893853320467/100000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (-.f64 (log.f64 (pow.f64 x (+.f64 x -1/2))) x)) (sqrt.f64 (-.f64 (log.f64 (pow.f64 x (+.f64 x -1/2))) x)) 91893853320467/100000000000000)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (+.f64 x -1/2)) (*.f64 (sqrt.f64 (+.f64 x -1/2)) (log.f64 x)) (neg.f64 (+.f64 x -91893853320467/100000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (+.f64 x -1/2)) (*.f64 (sqrt.f64 (+.f64 x -1/2)) (log.f64 x)) (fma.f64 -1 x 91893853320467/100000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (pow.f64 (log.f64 (pow.f64 x (+.f64 x -1/2))) 3) (pow.f64 x 3)) (/.f64 1 (fma.f64 x (fma.f64 (+.f64 x -1/2) (log.f64 x) x) (pow.f64 (log.f64 (pow.f64 x (+.f64 x -1/2))) 2))) 91893853320467/100000000000000)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (pow.f64 (log.f64 (pow.f64 x (+.f64 x -1/2))) 2) (*.f64 x x)) (/.f64 1 (fma.f64 (+.f64 x -1/2) (log.f64 x) x)) 91893853320467/100000000000000)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (sqrt.f64 (log.f64 (pow.f64 x (+.f64 x -1/2)))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (log.f64 (pow.f64 x (+.f64 x -1/2)))) (sqrt.f64 x)) 91893853320467/100000000000000)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (+.f64 x -1/2) (pow.f64 (cbrt.f64 (log.f64 x)) 2)) (cbrt.f64 (log.f64 x)) (neg.f64 (+.f64 x -91893853320467/100000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (+.f64 x -1/2) (pow.f64 (cbrt.f64 (log.f64 x)) 2)) (cbrt.f64 (log.f64 x)) (fma.f64 -1 x 91893853320467/100000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (+.f64 x -1/2) (sqrt.f64 (log.f64 x))) (sqrt.f64 (log.f64 x)) (neg.f64 (+.f64 x -91893853320467/100000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (+.f64 x -1/2) (sqrt.f64 (log.f64 x))) (sqrt.f64 (log.f64 x)) (fma.f64 -1 x 91893853320467/100000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (log.f64 x) (pow.f64 (cbrt.f64 (+.f64 x -1/2)) 2)) (cbrt.f64 (+.f64 x -1/2)) (neg.f64 (+.f64 x -91893853320467/100000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (log.f64 x) (pow.f64 (cbrt.f64 (+.f64 x -1/2)) 2)) (cbrt.f64 (+.f64 x -1/2)) (fma.f64 -1 x 91893853320467/100000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (log.f64 x) (sqrt.f64 (+.f64 x -1/2))) (sqrt.f64 (+.f64 x -1/2)) (neg.f64 (+.f64 x -91893853320467/100000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (log.f64 x) (sqrt.f64 (+.f64 x -1/2))) (sqrt.f64 (+.f64 x -1/2)) (fma.f64 -1 x 91893853320467/100000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (fma.f64 -1 x 91893853320467/100000000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (fma.f64 -1 x 91893853320467/100000000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (fma.f64 -1 x 91893853320467/100000000000000))) 1))))))

simplify62.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

804×	`fma-neg_binary64`
664×	`unsub-neg_binary64`
580×	`fma-def_binary64`
500×	`sub-neg_binary64`
319×	`distribute-neg-out_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	34	195
1	96	169
2	271	169
3	835	160
4	2698	142
5	5310	142
6	7011	142
7	7716	142

Stop Event

1×	node limit

Counts

87 → 84

Calls

Call 1

Inputs
(+.f64 91893853320467/100000000000000 (*.f64 -1/2 (log.f64 x)))
(+.f64 (.f64 -1/2 (log.f64 x)) (+.f64 91893853320467/100000000000000 (.f64 (-.f64 (log.f64 x) 1) x)))
(+.f64 (.f64 -1/2 (log.f64 x)) (+.f64 91893853320467/100000000000000 (.f64 (-.f64 (log.f64 x) 1) x)))
(+.f64 (.f64 -1/2 (log.f64 x)) (+.f64 91893853320467/100000000000000 (.f64 (-.f64 (log.f64 x) 1) x)))
(.f64 (-.f64 (.f64 -1 (log.f64 (/.f64 1 x))) 1) x)
(+.f64 91893853320467/100000000000000 (+.f64 (.f64 (-.f64 (.f64 -1 (log.f64 (/.f64 1 x))) 1) x) (*.f64 1/2 (log.f64 (/.f64 1 x)))))
(+.f64 91893853320467/100000000000000 (+.f64 (.f64 (-.f64 (.f64 -1 (log.f64 (/.f64 1 x))) 1) x) (*.f64 1/2 (log.f64 (/.f64 1 x)))))
(+.f64 91893853320467/100000000000000 (+.f64 (.f64 (-.f64 (.f64 -1 (log.f64 (/.f64 1 x))) 1) x) (*.f64 1/2 (log.f64 (/.f64 1 x)))))
(.f64 -1 (.f64 x (+.f64 1 (.f64 -1 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))))))
(+.f64 91893853320467/100000000000000 (+.f64 (.f64 -1/2 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))) (.f64 -1 (.f64 x (+.f64 1 (.f64 -1 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))))))))
(+.f64 91893853320467/100000000000000 (+.f64 (.f64 -1/2 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))) (.f64 -1 (.f64 x (+.f64 1 (.f64 -1 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))))))))
(+.f64 91893853320467/100000000000000 (+.f64 (.f64 -1/2 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))) (.f64 -1 (.f64 x (+.f64 1 (.f64 -1 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))))))))

Outputs
(+.f64 91893853320467/100000000000000 (*.f64 -1/2 (log.f64 x)))
(fma.f64 -1/2 (log.f64 x) 91893853320467/100000000000000)
(+.f64 (.f64 -1/2 (log.f64 x)) (+.f64 91893853320467/100000000000000 (.f64 (-.f64 (log.f64 x) 1) x)))
(fma.f64 -1/2 (log.f64 x) (+.f64 91893853320467/100000000000000 (*.f64 x (+.f64 (log.f64 x) -1))))
(fma.f64 -1/2 (log.f64 x) (fma.f64 x (+.f64 (log.f64 x) -1) 91893853320467/100000000000000))
(+.f64 91893853320467/100000000000000 (-.f64 (*.f64 (log.f64 x) (+.f64 -1/2 x)) x))
(fma.f64 (log.f64 x) (+.f64 -1/2 x) (-.f64 91893853320467/100000000000000 x))
(+.f64 (.f64 -1/2 (log.f64 x)) (+.f64 91893853320467/100000000000000 (.f64 (-.f64 (log.f64 x) 1) x)))
(fma.f64 -1/2 (log.f64 x) (+.f64 91893853320467/100000000000000 (*.f64 x (+.f64 (log.f64 x) -1))))
(fma.f64 -1/2 (log.f64 x) (fma.f64 x (+.f64 (log.f64 x) -1) 91893853320467/100000000000000))
(+.f64 91893853320467/100000000000000 (-.f64 (*.f64 (log.f64 x) (+.f64 -1/2 x)) x))
(fma.f64 (log.f64 x) (+.f64 -1/2 x) (-.f64 91893853320467/100000000000000 x))
(+.f64 (.f64 -1/2 (log.f64 x)) (+.f64 91893853320467/100000000000000 (.f64 (-.f64 (log.f64 x) 1) x)))
(fma.f64 -1/2 (log.f64 x) (+.f64 91893853320467/100000000000000 (*.f64 x (+.f64 (log.f64 x) -1))))
(fma.f64 -1/2 (log.f64 x) (fma.f64 x (+.f64 (log.f64 x) -1) 91893853320467/100000000000000))
(+.f64 91893853320467/100000000000000 (-.f64 (*.f64 (log.f64 x) (+.f64 -1/2 x)) x))
(fma.f64 (log.f64 x) (+.f64 -1/2 x) (-.f64 91893853320467/100000000000000 x))
(.f64 (-.f64 (.f64 -1 (log.f64 (/.f64 1 x))) 1) x)
(*.f64 x (fma.f64 -1 (neg.f64 (log.f64 x)) -1))
(*.f64 x (+.f64 (log.f64 x) -1))
(-.f64 (*.f64 x (log.f64 x)) x)
(+.f64 91893853320467/100000000000000 (+.f64 (.f64 (-.f64 (.f64 -1 (log.f64 (/.f64 1 x))) 1) x) (*.f64 1/2 (log.f64 (/.f64 1 x)))))
(fma.f64 -1/2 (log.f64 x) (+.f64 91893853320467/100000000000000 (*.f64 x (+.f64 (log.f64 x) -1))))
(fma.f64 -1/2 (log.f64 x) (fma.f64 x (+.f64 (log.f64 x) -1) 91893853320467/100000000000000))
(+.f64 91893853320467/100000000000000 (-.f64 (*.f64 (log.f64 x) (+.f64 -1/2 x)) x))
(fma.f64 (log.f64 x) (+.f64 -1/2 x) (-.f64 91893853320467/100000000000000 x))
(+.f64 91893853320467/100000000000000 (+.f64 (.f64 (-.f64 (.f64 -1 (log.f64 (/.f64 1 x))) 1) x) (*.f64 1/2 (log.f64 (/.f64 1 x)))))
(fma.f64 -1/2 (log.f64 x) (+.f64 91893853320467/100000000000000 (*.f64 x (+.f64 (log.f64 x) -1))))
(fma.f64 -1/2 (log.f64 x) (fma.f64 x (+.f64 (log.f64 x) -1) 91893853320467/100000000000000))
(+.f64 91893853320467/100000000000000 (-.f64 (*.f64 (log.f64 x) (+.f64 -1/2 x)) x))
(fma.f64 (log.f64 x) (+.f64 -1/2 x) (-.f64 91893853320467/100000000000000 x))
(+.f64 91893853320467/100000000000000 (+.f64 (.f64 (-.f64 (.f64 -1 (log.f64 (/.f64 1 x))) 1) x) (*.f64 1/2 (log.f64 (/.f64 1 x)))))
(fma.f64 -1/2 (log.f64 x) (+.f64 91893853320467/100000000000000 (*.f64 x (+.f64 (log.f64 x) -1))))
(fma.f64 -1/2 (log.f64 x) (fma.f64 x (+.f64 (log.f64 x) -1) 91893853320467/100000000000000))
(+.f64 91893853320467/100000000000000 (-.f64 (*.f64 (log.f64 x) (+.f64 -1/2 x)) x))
(fma.f64 (log.f64 x) (+.f64 -1/2 x) (-.f64 91893853320467/100000000000000 x))
(.f64 -1 (.f64 x (+.f64 1 (.f64 -1 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))))))
(*.f64 x (fma.f64 -1 (neg.f64 (log.f64 x)) -1))
(*.f64 x (+.f64 (log.f64 x) -1))
(-.f64 (*.f64 x (log.f64 x)) x)
(+.f64 91893853320467/100000000000000 (+.f64 (.f64 -1/2 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))) (.f64 -1 (.f64 x (+.f64 1 (.f64 -1 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))))))))
(fma.f64 -1/2 (log.f64 x) (+.f64 91893853320467/100000000000000 (*.f64 x (+.f64 (log.f64 x) -1))))
(fma.f64 -1/2 (log.f64 x) (fma.f64 x (+.f64 (log.f64 x) -1) 91893853320467/100000000000000))
(+.f64 91893853320467/100000000000000 (-.f64 (*.f64 (log.f64 x) (+.f64 -1/2 x)) x))
(fma.f64 (log.f64 x) (+.f64 -1/2 x) (-.f64 91893853320467/100000000000000 x))
(+.f64 91893853320467/100000000000000 (+.f64 (.f64 -1/2 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))) (.f64 -1 (.f64 x (+.f64 1 (.f64 -1 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))))))))
(fma.f64 -1/2 (log.f64 x) (+.f64 91893853320467/100000000000000 (*.f64 x (+.f64 (log.f64 x) -1))))
(fma.f64 -1/2 (log.f64 x) (fma.f64 x (+.f64 (log.f64 x) -1) 91893853320467/100000000000000))
(+.f64 91893853320467/100000000000000 (-.f64 (*.f64 (log.f64 x) (+.f64 -1/2 x)) x))
(fma.f64 (log.f64 x) (+.f64 -1/2 x) (-.f64 91893853320467/100000000000000 x))
(+.f64 91893853320467/100000000000000 (+.f64 (.f64 -1/2 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))) (.f64 -1 (.f64 x (+.f64 1 (.f64 -1 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))))))))
(fma.f64 -1/2 (log.f64 x) (+.f64 91893853320467/100000000000000 (*.f64 x (+.f64 (log.f64 x) -1))))
(fma.f64 -1/2 (log.f64 x) (fma.f64 x (+.f64 (log.f64 x) -1) 91893853320467/100000000000000))
(+.f64 91893853320467/100000000000000 (-.f64 (*.f64 (log.f64 x) (+.f64 -1/2 x)) x))
(fma.f64 (log.f64 x) (+.f64 -1/2 x) (-.f64 91893853320467/100000000000000 x))

localize97.0ms (0.6%)

Local error

Found 8 expressions with local error:

New	Error	Program
	0.0b	(*.f64 -13888888888889/5000000000000000 z)
	0.0b	(+.f64 (.f64 (.f64 (+.f64 y 7936500793651/10000000000000000) z) z) (*.f64 -13888888888889/5000000000000000 z))
	0.0b	(+.f64 y 7936500793651/10000000000000000)
	0.0b	(+.f64 (+.f64 (-.f64 (.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (/.f64 (+.f64 (+.f64 (.f64 (.f64 (+.f64 y 7936500793651/10000000000000000) z) z) (.f64 -13888888888889/5000000000000000 z)) 83333333333333/1000000000000000) x))
	0.1b	(*.f64 (-.f64 x 1/2) (log.f64 x))
	0.2b	(-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x)
✓	0.2b	(.f64 (.f64 (+.f64 y 7936500793651/10000000000000000) z) z)
✓	5.0b	(/.f64 (+.f64 (+.f64 (.f64 (.f64 (+.f64 y 7936500793651/10000000000000000) z) z) (*.f64 -13888888888889/5000000000000000 z)) 83333333333333/1000000000000000) x)

series8.0ms (0.1%)

Counts

2 → 60

Calls

15 calls:

Time	Variable		Point	Expression
1.0ms	x	@	0	(/.f64 (+.f64 (+.f64 (.f64 (.f64 (+.f64 y 7936500793651/10000000000000000) z) z) (*.f64 -13888888888889/5000000000000000 z)) 83333333333333/1000000000000000) x)
1.0ms	y	@	0	(/.f64 (+.f64 (+.f64 (.f64 (.f64 (+.f64 y 7936500793651/10000000000000000) z) z) (*.f64 -13888888888889/5000000000000000 z)) 83333333333333/1000000000000000) x)
1.0ms	y	@	inf	(/.f64 (+.f64 (+.f64 (.f64 (.f64 (+.f64 y 7936500793651/10000000000000000) z) z) (*.f64 -13888888888889/5000000000000000 z)) 83333333333333/1000000000000000) x)
1.0ms	y	@	-inf	(/.f64 (+.f64 (+.f64 (.f64 (.f64 (+.f64 y 7936500793651/10000000000000000) z) z) (*.f64 -13888888888889/5000000000000000 z)) 83333333333333/1000000000000000) x)
1.0ms	x	@	inf	(/.f64 (+.f64 (+.f64 (.f64 (.f64 (+.f64 y 7936500793651/10000000000000000) z) z) (*.f64 -13888888888889/5000000000000000 z)) 83333333333333/1000000000000000) x)

rewrite77.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

782×	`log-prod_binary64`
716×	`fma-def_binary64`
391×	`fma-neg_binary64`
293×	`expm1-udef_binary64`
293×	`log1p-udef_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	14	29
1	323	25
2	4514	25

Stop Event

1×	node limit

Counts

2 → 54

Calls

Call 1

Inputs

(/.f64 (+.f64 (+.f64 (*.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) z) (*.f64 -13888888888889/5000000000000000 z)) 83333333333333/1000000000000000) x)

(*.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) z)

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000) x))) (cbrt.f64 (exp.f64 (/.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000) x))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000) x)))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000) x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000) (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 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83333333333333/1000000000000000)) (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000) x)) (sqrt.f64 (/.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000)) (*.f64 (sqrt.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000)) (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000)) (/.f64 1 (neg.f64 x)))))) (#(struct:change #<rule 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(/.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000) x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000) x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000) x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000) 3) (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000) x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000) x)) 1))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (+.f64 y 7936500793651/10000000000000000) (*.f64 z z)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 z) (*.f64 (+.f64 y 7936500793651/10000000000000000) z))) (cbrt.f64 (pow.f64 (exp.f64 z) (*.f64 (+.f64 y 7936500793651/10000000000000000) z))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 z) (*.f64 (+.f64 y 7936500793651/10000000000000000) z)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 z) (*.f64 (+.f64 y 7936500793651/10000000000000000) z)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 z) (*.f64 (+.f64 y 7936500793651/10000000000000000) z)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) (*.f64 z z)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 499904667923684346908081313317095473451/1000000000000000000000000000000000000000000000000 (pow.f64 y 3)) (*.f64 z z)) (-.f64 (fma.f64 y y 62988044847622952881909801/100000000000000000000000000000000) (*.f64 y 7936500793651/10000000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (fma.f64 y y -62988044847622952881909801/100000000000000000000000000000000) (*.f64 z z)) (+.f64 y -7936500793651/10000000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) (*.f64 z z)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) (*.f64 z z))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sqrt.f64 (+.f64 y 7936500793651/10000000000000000)) z) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) (*.f64 z z)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) (*.f64 z z)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 z) (*.f64 (+.f64 y 7936500793651/10000000000000000) z)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) (*.f64 z z)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) (*.f64 z z)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) (*.f64 z z))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) (*.f64 z z))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) (*.f64 z z))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) (*.f64 z z))) 1))))))

simplify75.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

930×	`fma-def_binary64`
642×	`associate-/r/_binary64`
517×	`associate-l_binary64`
490×	`distribute-rgt-in_binary64`
404×	`distribute-lft-out_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	45	1120
1	112	1084
2	257	923
3	575	882
4	1450	812
5	4428	812
6	6679	812

Stop Event

1×	node limit

Counts

114 → 79

Calls

Call 1

Inputs
(/.f64 (+.f64 83333333333333/1000000000000000 (+.f64 (.f64 7936500793651/10000000000000000 (pow.f64 z 2)) (.f64 -13888888888889/5000000000000000 z))) x)
(+.f64 (/.f64 (.f64 y (pow.f64 z 2)) x) (+.f64 (.f64 7936500793651/10000000000000000 (/.f64 (pow.f64 z 2) x)) (+.f64 (.f64 83333333333333/1000000000000000 (/.f64 1 x)) (.f64 -13888888888889/5000000000000000 (/.f64 z x)))))
(+.f64 (/.f64 (.f64 y (pow.f64 z 2)) x) (+.f64 (.f64 7936500793651/10000000000000000 (/.f64 (pow.f64 z 2) x)) (+.f64 (.f64 83333333333333/1000000000000000 (/.f64 1 x)) (.f64 -13888888888889/5000000000000000 (/.f64 z x)))))
(+.f64 (/.f64 (.f64 y (pow.f64 z 2)) x) (+.f64 (.f64 7936500793651/10000000000000000 (/.f64 (pow.f64 z 2) x)) (+.f64 (.f64 83333333333333/1000000000000000 (/.f64 1 x)) (.f64 -13888888888889/5000000000000000 (/.f64 z x)))))
(/.f64 (*.f64 y (pow.f64 z 2)) x)
(+.f64 (.f64 83333333333333/1000000000000000 (/.f64 1 x)) (+.f64 (/.f64 (.f64 y (pow.f64 z 2)) x) (+.f64 (.f64 7936500793651/10000000000000000 (/.f64 (pow.f64 z 2) x)) (.f64 -13888888888889/5000000000000000 (/.f64 z x)))))
(+.f64 (.f64 83333333333333/1000000000000000 (/.f64 1 x)) (+.f64 (/.f64 (.f64 y (pow.f64 z 2)) x) (+.f64 (.f64 7936500793651/10000000000000000 (/.f64 (pow.f64 z 2) x)) (.f64 -13888888888889/5000000000000000 (/.f64 z x)))))
(+.f64 (.f64 83333333333333/1000000000000000 (/.f64 1 x)) (+.f64 (/.f64 (.f64 y (pow.f64 z 2)) x) (+.f64 (.f64 7936500793651/10000000000000000 (/.f64 (pow.f64 z 2) x)) (.f64 -13888888888889/5000000000000000 (/.f64 z x)))))
(/.f64 (*.f64 y (pow.f64 z 2)) x)
(+.f64 (.f64 83333333333333/1000000000000000 (/.f64 1 x)) (+.f64 (/.f64 (.f64 y (pow.f64 z 2)) x) (+.f64 (.f64 7936500793651/10000000000000000 (/.f64 (pow.f64 z 2) x)) (.f64 -13888888888889/5000000000000000 (/.f64 z x)))))
(+.f64 (.f64 83333333333333/1000000000000000 (/.f64 1 x)) (+.f64 (/.f64 (.f64 y (pow.f64 z 2)) x) (+.f64 (.f64 7936500793651/10000000000000000 (/.f64 (pow.f64 z 2) x)) (.f64 -13888888888889/5000000000000000 (/.f64 z x)))))
(+.f64 (.f64 83333333333333/1000000000000000 (/.f64 1 x)) (+.f64 (/.f64 (.f64 y (pow.f64 z 2)) x) (+.f64 (.f64 7936500793651/10000000000000000 (/.f64 (pow.f64 z 2) x)) (.f64 -13888888888889/5000000000000000 (/.f64 z x)))))
(/.f64 83333333333333/1000000000000000 x)
(+.f64 (.f64 83333333333333/1000000000000000 (/.f64 1 x)) (.f64 -13888888888889/5000000000000000 (/.f64 z x)))
(+.f64 (.f64 83333333333333/1000000000000000 (/.f64 1 x)) (+.f64 (.f64 -13888888888889/5000000000000000 (/.f64 z x)) (.f64 (+.f64 (/.f64 y x) (.f64 7936500793651/10000000000000000 (/.f64 1 x))) (pow.f64 z 2))))
(+.f64 (.f64 83333333333333/1000000000000000 (/.f64 1 x)) (+.f64 (.f64 -13888888888889/5000000000000000 (/.f64 z x)) (.f64 (+.f64 (/.f64 y x) (.f64 7936500793651/10000000000000000 (/.f64 1 x))) (pow.f64 z 2))))
(/.f64 (*.f64 (pow.f64 z 2) (+.f64 7936500793651/10000000000000000 y)) x)
(+.f64 (/.f64 (.f64 (pow.f64 z 2) (+.f64 7936500793651/10000000000000000 y)) x) (.f64 -13888888888889/5000000000000000 (/.f64 z x)))
(+.f64 (.f64 83333333333333/1000000000000000 (/.f64 1 x)) (+.f64 (/.f64 (.f64 (pow.f64 z 2) (+.f64 7936500793651/10000000000000000 y)) x) (*.f64 -13888888888889/5000000000000000 (/.f64 z x))))
(+.f64 (.f64 83333333333333/1000000000000000 (/.f64 1 x)) (+.f64 (/.f64 (.f64 (pow.f64 z 2) (+.f64 7936500793651/10000000000000000 y)) x) (*.f64 -13888888888889/5000000000000000 (/.f64 z x))))
(/.f64 (*.f64 (pow.f64 z 2) (+.f64 7936500793651/10000000000000000 y)) x)
(+.f64 (/.f64 (.f64 (pow.f64 z 2) (+.f64 7936500793651/10000000000000000 y)) x) (.f64 -13888888888889/5000000000000000 (/.f64 z x)))
(+.f64 (.f64 83333333333333/1000000000000000 (/.f64 1 x)) (+.f64 (/.f64 (.f64 (pow.f64 z 2) (+.f64 7936500793651/10000000000000000 y)) x) (*.f64 -13888888888889/5000000000000000 (/.f64 z x))))
(+.f64 (.f64 83333333333333/1000000000000000 (/.f64 1 x)) (+.f64 (/.f64 (.f64 (pow.f64 z 2) (+.f64 7936500793651/10000000000000000 y)) x) (*.f64 -13888888888889/5000000000000000 (/.f64 z x))))
(/.f64 (+.f64 83333333333333/1000000000000000 (+.f64 (.f64 (pow.f64 z 2) (+.f64 7936500793651/10000000000000000 y)) (.f64 -13888888888889/5000000000000000 z))) x)
(/.f64 (+.f64 83333333333333/1000000000000000 (+.f64 (.f64 (pow.f64 z 2) (+.f64 7936500793651/10000000000000000 y)) (.f64 -13888888888889/5000000000000000 z))) x)
(/.f64 (+.f64 83333333333333/1000000000000000 (+.f64 (.f64 (pow.f64 z 2) (+.f64 7936500793651/10000000000000000 y)) (.f64 -13888888888889/5000000000000000 z))) x)
(/.f64 (+.f64 83333333333333/1000000000000000 (+.f64 (.f64 (pow.f64 z 2) (+.f64 7936500793651/10000000000000000 y)) (.f64 -13888888888889/5000000000000000 z))) x)
(/.f64 (+.f64 83333333333333/1000000000000000 (+.f64 (.f64 (pow.f64 z 2) (+.f64 7936500793651/10000000000000000 y)) (.f64 -13888888888889/5000000000000000 z))) x)
(/.f64 (+.f64 83333333333333/1000000000000000 (+.f64 (.f64 (pow.f64 z 2) (+.f64 7936500793651/10000000000000000 y)) (.f64 -13888888888889/5000000000000000 z))) x)
(/.f64 (+.f64 83333333333333/1000000000000000 (+.f64 (.f64 (pow.f64 z 2) (+.f64 7936500793651/10000000000000000 y)) (.f64 -13888888888889/5000000000000000 z))) x)
(/.f64 (+.f64 83333333333333/1000000000000000 (+.f64 (.f64 (pow.f64 z 2) (+.f64 7936500793651/10000000000000000 y)) (.f64 -13888888888889/5000000000000000 z))) x)
(/.f64 (+.f64 83333333333333/1000000000000000 (+.f64 (.f64 (pow.f64 z 2) (+.f64 7936500793651/10000000000000000 y)) (.f64 -13888888888889/5000000000000000 z))) x)
(/.f64 (+.f64 83333333333333/1000000000000000 (+.f64 (.f64 (pow.f64 z 2) (+.f64 7936500793651/10000000000000000 y)) (.f64 -13888888888889/5000000000000000 z))) x)
(/.f64 (+.f64 83333333333333/1000000000000000 (+.f64 (.f64 (pow.f64 z 2) (+.f64 7936500793651/10000000000000000 y)) (.f64 -13888888888889/5000000000000000 z))) x)
(/.f64 (+.f64 83333333333333/1000000000000000 (+.f64 (.f64 (pow.f64 z 2) (+.f64 7936500793651/10000000000000000 y)) (.f64 -13888888888889/5000000000000000 z))) x)
(*.f64 7936500793651/10000000000000000 (pow.f64 z 2))
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(+.f64 (.f64 y (pow.f64 z 2)) (.f64 7936500793651/10000000000000000 (pow.f64 z 2)))
(+.f64 (.f64 y (pow.f64 z 2)) (.f64 7936500793651/10000000000000000 (pow.f64 z 2)))
(*.f64 y (pow.f64 z 2))
(+.f64 (.f64 y (pow.f64 z 2)) (.f64 7936500793651/10000000000000000 (pow.f64 z 2)))
(+.f64 (.f64 y (pow.f64 z 2)) (.f64 7936500793651/10000000000000000 (pow.f64 z 2)))
(+.f64 (.f64 y (pow.f64 z 2)) (.f64 7936500793651/10000000000000000 (pow.f64 z 2)))
(*.f64 y (pow.f64 z 2))
(+.f64 (.f64 y (pow.f64 z 2)) (.f64 7936500793651/10000000000000000 (pow.f64 z 2)))
(+.f64 (.f64 y (pow.f64 z 2)) (.f64 7936500793651/10000000000000000 (pow.f64 z 2)))
(+.f64 (.f64 y (pow.f64 z 2)) (.f64 7936500793651/10000000000000000 (pow.f64 z 2)))
(*.f64 (pow.f64 z 2) (+.f64 7936500793651/10000000000000000 y))
(*.f64 (pow.f64 z 2) (+.f64 7936500793651/10000000000000000 y))
(*.f64 (pow.f64 z 2) (+.f64 7936500793651/10000000000000000 y))
(*.f64 (pow.f64 z 2) (+.f64 7936500793651/10000000000000000 y))
(*.f64 (pow.f64 z 2) (+.f64 7936500793651/10000000000000000 y))
(*.f64 (pow.f64 z 2) (+.f64 7936500793651/10000000000000000 y))
(*.f64 (pow.f64 z 2) (+.f64 7936500793651/10000000000000000 y))
(*.f64 (pow.f64 z 2) (+.f64 7936500793651/10000000000000000 y))
(*.f64 (pow.f64 z 2) (+.f64 7936500793651/10000000000000000 y))
(*.f64 (pow.f64 z 2) (+.f64 7936500793651/10000000000000000 y))
(*.f64 (pow.f64 z 2) (+.f64 7936500793651/10000000000000000 y))
(*.f64 (pow.f64 z 2) (+.f64 7936500793651/10000000000000000 y))

Outputs
(/.f64 (+.f64 83333333333333/1000000000000000 (+.f64 (.f64 7936500793651/10000000000000000 (pow.f64 z 2)) (.f64 -13888888888889/5000000000000000 z))) x)
(/.f64 (+.f64 83333333333333/1000000000000000 (fma.f64 7936500793651/10000000000000000 (.f64 z z) (.f64 z -13888888888889/5000000000000000))) x)
(/.f64 (fma.f64 7936500793651/10000000000000000 (*.f64 z z) (fma.f64 z -13888888888889/5000000000000000 83333333333333/1000000000000000)) x)
(/.f64 (fma.f64 z (fma.f64 7936500793651/10000000000000000 z -13888888888889/5000000000000000) 83333333333333/1000000000000000) x)
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(fma.f64 (*.f64 (/.f64 z x) z) (+.f64 7936500793651/10000000000000000 y) (fma.f64 -13888888888889/5000000000000000 (/.f64 z x) (/.f64 83333333333333/1000000000000000 x)))
(fma.f64 (*.f64 z (/.f64 z x)) (+.f64 7936500793651/10000000000000000 y) (fma.f64 -13888888888889/5000000000000000 (/.f64 z x) (/.f64 83333333333333/1000000000000000 x)))
(+.f64 (/.f64 83333333333333/1000000000000000 x) (*.f64 (/.f64 z x) (fma.f64 z (+.f64 7936500793651/10000000000000000 y) -13888888888889/5000000000000000)))
(/.f64 (*.f64 (pow.f64 z 2) (+.f64 7936500793651/10000000000000000 y)) x)
(/.f64 (.f64 (.f64 z z) (+.f64 7936500793651/10000000000000000 y)) x)
(/.f64 (+.f64 7936500793651/10000000000000000 y) (/.f64 x (*.f64 z z)))
(.f64 (.f64 (/.f64 z x) z) (+.f64 7936500793651/10000000000000000 y))
(.f64 z (.f64 (/.f64 z x) (+.f64 7936500793651/10000000000000000 y)))
(.f64 (.f64 z z) (/.f64 (+.f64 7936500793651/10000000000000000 y) x))
(+.f64 (/.f64 (.f64 (pow.f64 z 2) (+.f64 7936500793651/10000000000000000 y)) x) (.f64 -13888888888889/5000000000000000 (/.f64 z x)))
(+.f64 (.f64 -13888888888889/5000000000000000 (/.f64 z x)) (/.f64 (.f64 (*.f64 z z) (+.f64 7936500793651/10000000000000000 y)) x))
(fma.f64 -13888888888889/5000000000000000 (/.f64 z x) (/.f64 (+.f64 7936500793651/10000000000000000 y) (/.f64 x (*.f64 z z))))
(fma.f64 -13888888888889/5000000000000000 (/.f64 z x) (.f64 (.f64 (/.f64 z x) z) (+.f64 7936500793651/10000000000000000 y)))
(.f64 z (+.f64 (/.f64 -13888888888889/5000000000000000 x) (.f64 (/.f64 z x) (+.f64 7936500793651/10000000000000000 y))))
(*.f64 (/.f64 z x) (fma.f64 z (+.f64 7936500793651/10000000000000000 y) -13888888888889/5000000000000000))
(+.f64 (.f64 83333333333333/1000000000000000 (/.f64 1 x)) (+.f64 (/.f64 (.f64 (pow.f64 z 2) (+.f64 7936500793651/10000000000000000 y)) x) (*.f64 -13888888888889/5000000000000000 (/.f64 z x))))
(+.f64 (/.f64 y (/.f64 x (.f64 z z))) (fma.f64 7936500793651/10000000000000000 (/.f64 (.f64 z z) x) (+.f64 (/.f64 83333333333333/1000000000000000 x) (*.f64 -13888888888889/5000000000000000 (/.f64 z x)))))
(+.f64 (.f64 (/.f64 y x) (.f64 z z)) (fma.f64 7936500793651/10000000000000000 (/.f64 z (/.f64 x z)) (fma.f64 -13888888888889/5000000000000000 (/.f64 z x) (/.f64 83333333333333/1000000000000000 x))))
(fma.f64 (*.f64 (/.f64 z x) z) (+.f64 7936500793651/10000000000000000 y) (fma.f64 -13888888888889/5000000000000000 (/.f64 z x) (/.f64 83333333333333/1000000000000000 x)))
(fma.f64 (*.f64 z (/.f64 z x)) (+.f64 7936500793651/10000000000000000 y) (fma.f64 -13888888888889/5000000000000000 (/.f64 z x) (/.f64 83333333333333/1000000000000000 x)))
(+.f64 (/.f64 83333333333333/1000000000000000 x) (*.f64 (/.f64 z x) (fma.f64 z (+.f64 7936500793651/10000000000000000 y) -13888888888889/5000000000000000)))
(+.f64 (.f64 83333333333333/1000000000000000 (/.f64 1 x)) (+.f64 (/.f64 (.f64 (pow.f64 z 2) (+.f64 7936500793651/10000000000000000 y)) x) (*.f64 -13888888888889/5000000000000000 (/.f64 z x))))
(+.f64 (/.f64 y (/.f64 x (.f64 z z))) (fma.f64 7936500793651/10000000000000000 (/.f64 (.f64 z z) x) (+.f64 (/.f64 83333333333333/1000000000000000 x) (*.f64 -13888888888889/5000000000000000 (/.f64 z x)))))
(+.f64 (.f64 (/.f64 y x) (.f64 z z)) (fma.f64 7936500793651/10000000000000000 (/.f64 z (/.f64 x z)) (fma.f64 -13888888888889/5000000000000000 (/.f64 z x) (/.f64 83333333333333/1000000000000000 x))))
(fma.f64 (*.f64 (/.f64 z x) z) (+.f64 7936500793651/10000000000000000 y) (fma.f64 -13888888888889/5000000000000000 (/.f64 z x) (/.f64 83333333333333/1000000000000000 x)))
(fma.f64 (*.f64 z (/.f64 z x)) (+.f64 7936500793651/10000000000000000 y) (fma.f64 -13888888888889/5000000000000000 (/.f64 z x) (/.f64 83333333333333/1000000000000000 x)))
(+.f64 (/.f64 83333333333333/1000000000000000 x) (*.f64 (/.f64 z x) (fma.f64 z (+.f64 7936500793651/10000000000000000 y) -13888888888889/5000000000000000)))
(/.f64 (+.f64 83333333333333/1000000000000000 (+.f64 (.f64 (pow.f64 z 2) (+.f64 7936500793651/10000000000000000 y)) (.f64 -13888888888889/5000000000000000 z))) x)
(/.f64 (+.f64 83333333333333/1000000000000000 (fma.f64 (.f64 z z) (+.f64 7936500793651/10000000000000000 y) (.f64 z -13888888888889/5000000000000000))) x)
(/.f64 (+.f64 83333333333333/1000000000000000 (fma.f64 z -13888888888889/5000000000000000 (.f64 (.f64 z z) (+.f64 7936500793651/10000000000000000 y)))) x)
(/.f64 (fma.f64 z -13888888888889/5000000000000000 (fma.f64 z (*.f64 z (+.f64 7936500793651/10000000000000000 y)) 83333333333333/1000000000000000)) x)
(/.f64 (fma.f64 z (fma.f64 z (+.f64 7936500793651/10000000000000000 y) -13888888888889/5000000000000000) 83333333333333/1000000000000000) x)
(/.f64 (+.f64 83333333333333/1000000000000000 (+.f64 (.f64 (pow.f64 z 2) (+.f64 7936500793651/10000000000000000 y)) (.f64 -13888888888889/5000000000000000 z))) x)
(/.f64 (+.f64 83333333333333/1000000000000000 (fma.f64 (.f64 z z) (+.f64 7936500793651/10000000000000000 y) (.f64 z -13888888888889/5000000000000000))) x)
(/.f64 (+.f64 83333333333333/1000000000000000 (fma.f64 z -13888888888889/5000000000000000 (.f64 (.f64 z z) (+.f64 7936500793651/10000000000000000 y)))) x)
(/.f64 (fma.f64 z -13888888888889/5000000000000000 (fma.f64 z (*.f64 z (+.f64 7936500793651/10000000000000000 y)) 83333333333333/1000000000000000)) x)
(/.f64 (fma.f64 z (fma.f64 z (+.f64 7936500793651/10000000000000000 y) -13888888888889/5000000000000000) 83333333333333/1000000000000000) x)
(/.f64 (+.f64 83333333333333/1000000000000000 (+.f64 (.f64 (pow.f64 z 2) (+.f64 7936500793651/10000000000000000 y)) (.f64 -13888888888889/5000000000000000 z))) x)
(/.f64 (+.f64 83333333333333/1000000000000000 (fma.f64 (.f64 z z) (+.f64 7936500793651/10000000000000000 y) (.f64 z -13888888888889/5000000000000000))) x)
(/.f64 (+.f64 83333333333333/1000000000000000 (fma.f64 z -13888888888889/5000000000000000 (.f64 (.f64 z z) (+.f64 7936500793651/10000000000000000 y)))) x)
(/.f64 (fma.f64 z -13888888888889/5000000000000000 (fma.f64 z (*.f64 z (+.f64 7936500793651/10000000000000000 y)) 83333333333333/1000000000000000)) x)
(/.f64 (fma.f64 z (fma.f64 z (+.f64 7936500793651/10000000000000000 y) -13888888888889/5000000000000000) 83333333333333/1000000000000000) x)
(/.f64 (+.f64 83333333333333/1000000000000000 (+.f64 (.f64 (pow.f64 z 2) (+.f64 7936500793651/10000000000000000 y)) (.f64 -13888888888889/5000000000000000 z))) x)
(/.f64 (+.f64 83333333333333/1000000000000000 (fma.f64 (.f64 z z) (+.f64 7936500793651/10000000000000000 y) (.f64 z -13888888888889/5000000000000000))) x)
(/.f64 (+.f64 83333333333333/1000000000000000 (fma.f64 z -13888888888889/5000000000000000 (.f64 (.f64 z z) (+.f64 7936500793651/10000000000000000 y)))) x)
(/.f64 (fma.f64 z -13888888888889/5000000000000000 (fma.f64 z (*.f64 z (+.f64 7936500793651/10000000000000000 y)) 83333333333333/1000000000000000)) x)
(/.f64 (fma.f64 z (fma.f64 z (+.f64 7936500793651/10000000000000000 y) -13888888888889/5000000000000000) 83333333333333/1000000000000000) x)
(/.f64 (+.f64 83333333333333/1000000000000000 (+.f64 (.f64 (pow.f64 z 2) (+.f64 7936500793651/10000000000000000 y)) (.f64 -13888888888889/5000000000000000 z))) x)
(/.f64 (+.f64 83333333333333/1000000000000000 (fma.f64 (.f64 z z) (+.f64 7936500793651/10000000000000000 y) (.f64 z -13888888888889/5000000000000000))) x)
(/.f64 (+.f64 83333333333333/1000000000000000 (fma.f64 z -13888888888889/5000000000000000 (.f64 (.f64 z z) (+.f64 7936500793651/10000000000000000 y)))) x)
(/.f64 (fma.f64 z -13888888888889/5000000000000000 (fma.f64 z (*.f64 z (+.f64 7936500793651/10000000000000000 y)) 83333333333333/1000000000000000)) x)
(/.f64 (fma.f64 z (fma.f64 z (+.f64 7936500793651/10000000000000000 y) -13888888888889/5000000000000000) 83333333333333/1000000000000000) x)
(/.f64 (+.f64 83333333333333/1000000000000000 (+.f64 (.f64 (pow.f64 z 2) (+.f64 7936500793651/10000000000000000 y)) (.f64 -13888888888889/5000000000000000 z))) x)
(/.f64 (+.f64 83333333333333/1000000000000000 (fma.f64 (.f64 z z) (+.f64 7936500793651/10000000000000000 y) (.f64 z -13888888888889/5000000000000000))) x)
(/.f64 (+.f64 83333333333333/1000000000000000 (fma.f64 z -13888888888889/5000000000000000 (.f64 (.f64 z z) (+.f64 7936500793651/10000000000000000 y)))) x)
(/.f64 (fma.f64 z -13888888888889/5000000000000000 (fma.f64 z (*.f64 z (+.f64 7936500793651/10000000000000000 y)) 83333333333333/1000000000000000)) x)
(/.f64 (fma.f64 z (fma.f64 z (+.f64 7936500793651/10000000000000000 y) -13888888888889/5000000000000000) 83333333333333/1000000000000000) x)
(/.f64 (+.f64 83333333333333/1000000000000000 (+.f64 (.f64 (pow.f64 z 2) (+.f64 7936500793651/10000000000000000 y)) (.f64 -13888888888889/5000000000000000 z))) x)
(/.f64 (+.f64 83333333333333/1000000000000000 (fma.f64 (.f64 z z) (+.f64 7936500793651/10000000000000000 y) (.f64 z -13888888888889/5000000000000000))) x)
(/.f64 (+.f64 83333333333333/1000000000000000 (fma.f64 z -13888888888889/5000000000000000 (.f64 (.f64 z z) (+.f64 7936500793651/10000000000000000 y)))) x)
(/.f64 (fma.f64 z -13888888888889/5000000000000000 (fma.f64 z (*.f64 z (+.f64 7936500793651/10000000000000000 y)) 83333333333333/1000000000000000)) x)
(/.f64 (fma.f64 z (fma.f64 z (+.f64 7936500793651/10000000000000000 y) -13888888888889/5000000000000000) 83333333333333/1000000000000000) x)
(/.f64 (+.f64 83333333333333/1000000000000000 (+.f64 (.f64 (pow.f64 z 2) (+.f64 7936500793651/10000000000000000 y)) (.f64 -13888888888889/5000000000000000 z))) x)
(/.f64 (+.f64 83333333333333/1000000000000000 (fma.f64 (.f64 z z) (+.f64 7936500793651/10000000000000000 y) (.f64 z -13888888888889/5000000000000000))) x)
(/.f64 (+.f64 83333333333333/1000000000000000 (fma.f64 z -13888888888889/5000000000000000 (.f64 (.f64 z z) (+.f64 7936500793651/10000000000000000 y)))) x)
(/.f64 (fma.f64 z -13888888888889/5000000000000000 (fma.f64 z (*.f64 z (+.f64 7936500793651/10000000000000000 y)) 83333333333333/1000000000000000)) x)
(/.f64 (fma.f64 z (fma.f64 z (+.f64 7936500793651/10000000000000000 y) -13888888888889/5000000000000000) 83333333333333/1000000000000000) x)
(/.f64 (+.f64 83333333333333/1000000000000000 (+.f64 (.f64 (pow.f64 z 2) (+.f64 7936500793651/10000000000000000 y)) (.f64 -13888888888889/5000000000000000 z))) x)
(/.f64 (+.f64 83333333333333/1000000000000000 (fma.f64 (.f64 z z) (+.f64 7936500793651/10000000000000000 y) (.f64 z -13888888888889/5000000000000000))) x)
(/.f64 (+.f64 83333333333333/1000000000000000 (fma.f64 z -13888888888889/5000000000000000 (.f64 (.f64 z z) (+.f64 7936500793651/10000000000000000 y)))) x)
(/.f64 (fma.f64 z -13888888888889/5000000000000000 (fma.f64 z (*.f64 z (+.f64 7936500793651/10000000000000000 y)) 83333333333333/1000000000000000)) x)
(/.f64 (fma.f64 z (fma.f64 z (+.f64 7936500793651/10000000000000000 y) -13888888888889/5000000000000000) 83333333333333/1000000000000000) x)
(/.f64 (+.f64 83333333333333/1000000000000000 (+.f64 (.f64 (pow.f64 z 2) (+.f64 7936500793651/10000000000000000 y)) (.f64 -13888888888889/5000000000000000 z))) x)
(/.f64 (+.f64 83333333333333/1000000000000000 (fma.f64 (.f64 z z) (+.f64 7936500793651/10000000000000000 y) (.f64 z -13888888888889/5000000000000000))) x)
(/.f64 (+.f64 83333333333333/1000000000000000 (fma.f64 z -13888888888889/5000000000000000 (.f64 (.f64 z z) (+.f64 7936500793651/10000000000000000 y)))) x)
(/.f64 (fma.f64 z -13888888888889/5000000000000000 (fma.f64 z (*.f64 z (+.f64 7936500793651/10000000000000000 y)) 83333333333333/1000000000000000)) x)
(/.f64 (fma.f64 z (fma.f64 z (+.f64 7936500793651/10000000000000000 y) -13888888888889/5000000000000000) 83333333333333/1000000000000000) x)
(/.f64 (+.f64 83333333333333/1000000000000000 (+.f64 (.f64 (pow.f64 z 2) (+.f64 7936500793651/10000000000000000 y)) (.f64 -13888888888889/5000000000000000 z))) x)
(/.f64 (+.f64 83333333333333/1000000000000000 (fma.f64 (.f64 z z) (+.f64 7936500793651/10000000000000000 y) (.f64 z -13888888888889/5000000000000000))) x)
(/.f64 (+.f64 83333333333333/1000000000000000 (fma.f64 z -13888888888889/5000000000000000 (.f64 (.f64 z z) (+.f64 7936500793651/10000000000000000 y)))) x)
(/.f64 (fma.f64 z -13888888888889/5000000000000000 (fma.f64 z (*.f64 z (+.f64 7936500793651/10000000000000000 y)) 83333333333333/1000000000000000)) x)
(/.f64 (fma.f64 z (fma.f64 z (+.f64 7936500793651/10000000000000000 y) -13888888888889/5000000000000000) 83333333333333/1000000000000000) x)
(/.f64 (+.f64 83333333333333/1000000000000000 (+.f64 (.f64 (pow.f64 z 2) (+.f64 7936500793651/10000000000000000 y)) (.f64 -13888888888889/5000000000000000 z))) x)
(/.f64 (+.f64 83333333333333/1000000000000000 (fma.f64 (.f64 z z) (+.f64 7936500793651/10000000000000000 y) (.f64 z -13888888888889/5000000000000000))) x)
(/.f64 (+.f64 83333333333333/1000000000000000 (fma.f64 z -13888888888889/5000000000000000 (.f64 (.f64 z z) (+.f64 7936500793651/10000000000000000 y)))) x)
(/.f64 (fma.f64 z -13888888888889/5000000000000000 (fma.f64 z (*.f64 z (+.f64 7936500793651/10000000000000000 y)) 83333333333333/1000000000000000)) x)
(/.f64 (fma.f64 z (fma.f64 z (+.f64 7936500793651/10000000000000000 y) -13888888888889/5000000000000000) 83333333333333/1000000000000000) x)
(*.f64 7936500793651/10000000000000000 (pow.f64 z 2))
(.f64 7936500793651/10000000000000000 (.f64 z z))
(+.f64 (.f64 y (pow.f64 z 2)) (.f64 7936500793651/10000000000000000 (pow.f64 z 2)))
(.f64 (.f64 z z) (+.f64 7936500793651/10000000000000000 y))
(+.f64 (.f64 y (pow.f64 z 2)) (.f64 7936500793651/10000000000000000 (pow.f64 z 2)))
(.f64 (.f64 z z) (+.f64 7936500793651/10000000000000000 y))
(+.f64 (.f64 y (pow.f64 z 2)) (.f64 7936500793651/10000000000000000 (pow.f64 z 2)))
(.f64 (.f64 z z) (+.f64 7936500793651/10000000000000000 y))
(*.f64 y (pow.f64 z 2))
(.f64 (.f64 z z) y)
(.f64 z (.f64 z y))
(+.f64 (.f64 y (pow.f64 z 2)) (.f64 7936500793651/10000000000000000 (pow.f64 z 2)))
(.f64 (.f64 z z) (+.f64 7936500793651/10000000000000000 y))
(+.f64 (.f64 y (pow.f64 z 2)) (.f64 7936500793651/10000000000000000 (pow.f64 z 2)))
(.f64 (.f64 z z) (+.f64 7936500793651/10000000000000000 y))
(+.f64 (.f64 y (pow.f64 z 2)) (.f64 7936500793651/10000000000000000 (pow.f64 z 2)))
(.f64 (.f64 z z) (+.f64 7936500793651/10000000000000000 y))
(*.f64 y (pow.f64 z 2))
(.f64 (.f64 z z) y)
(.f64 z (.f64 z y))
(+.f64 (.f64 y (pow.f64 z 2)) (.f64 7936500793651/10000000000000000 (pow.f64 z 2)))
(.f64 (.f64 z z) (+.f64 7936500793651/10000000000000000 y))
(+.f64 (.f64 y (pow.f64 z 2)) (.f64 7936500793651/10000000000000000 (pow.f64 z 2)))
(.f64 (.f64 z z) (+.f64 7936500793651/10000000000000000 y))
(+.f64 (.f64 y (pow.f64 z 2)) (.f64 7936500793651/10000000000000000 (pow.f64 z 2)))
(.f64 (.f64 z z) (+.f64 7936500793651/10000000000000000 y))
(*.f64 (pow.f64 z 2) (+.f64 7936500793651/10000000000000000 y))
(.f64 (.f64 z z) (+.f64 7936500793651/10000000000000000 y))
(*.f64 (pow.f64 z 2) (+.f64 7936500793651/10000000000000000 y))
(.f64 (.f64 z z) (+.f64 7936500793651/10000000000000000 y))
(*.f64 (pow.f64 z 2) (+.f64 7936500793651/10000000000000000 y))
(.f64 (.f64 z z) (+.f64 7936500793651/10000000000000000 y))
(*.f64 (pow.f64 z 2) (+.f64 7936500793651/10000000000000000 y))
(.f64 (.f64 z z) (+.f64 7936500793651/10000000000000000 y))
(*.f64 (pow.f64 z 2) (+.f64 7936500793651/10000000000000000 y))
(.f64 (.f64 z z) (+.f64 7936500793651/10000000000000000 y))
(*.f64 (pow.f64 z 2) (+.f64 7936500793651/10000000000000000 y))
(.f64 (.f64 z z) (+.f64 7936500793651/10000000000000000 y))
(*.f64 (pow.f64 z 2) (+.f64 7936500793651/10000000000000000 y))
(.f64 (.f64 z z) (+.f64 7936500793651/10000000000000000 y))
(*.f64 (pow.f64 z 2) (+.f64 7936500793651/10000000000000000 y))
(.f64 (.f64 z z) (+.f64 7936500793651/10000000000000000 y))
(*.f64 (pow.f64 z 2) (+.f64 7936500793651/10000000000000000 y))
(.f64 (.f64 z z) (+.f64 7936500793651/10000000000000000 y))
(*.f64 (pow.f64 z 2) (+.f64 7936500793651/10000000000000000 y))
(.f64 (.f64 z z) (+.f64 7936500793651/10000000000000000 y))
(*.f64 (pow.f64 z 2) (+.f64 7936500793651/10000000000000000 y))
(.f64 (.f64 z z) (+.f64 7936500793651/10000000000000000 y))
(*.f64 (pow.f64 z 2) (+.f64 7936500793651/10000000000000000 y))
(.f64 (.f64 z z) (+.f64 7936500793651/10000000000000000 y))

localize23.0ms (0.1%)

Local error

Found 8 expressions with local error:

New	Error	Program
	0.1b	(fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000)
	0.0b	(fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000)
	0.0b	(+.f64 (+.f64 (-.f64 91893853320467/100000000000000 x) (*.f64 (log.f64 x) (+.f64 -1/2 x))) (/.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000) x))
	0.0b	(+.f64 y 7936500793651/10000000000000000)
	0.1b	(fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000)
✓	0.1b	(*.f64 (log.f64 x) (+.f64 -1/2 x))
✓	0.3b	(+.f64 (-.f64 91893853320467/100000000000000 x) (*.f64 (log.f64 x) (+.f64 -1/2 x)))
	5.0b	(/.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000) x)

series2.0ms (0%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
0.0ms	x	@	0	(+.f64 (-.f64 91893853320467/100000000000000 x) (*.f64 (log.f64 x) (+.f64 -1/2 x)))
0.0ms	x	@	-inf	(+.f64 (-.f64 91893853320467/100000000000000 x) (*.f64 (log.f64 x) (+.f64 -1/2 x)))
0.0ms	x	@	inf	(+.f64 (-.f64 91893853320467/100000000000000 x) (*.f64 (log.f64 x) (+.f64 -1/2 x)))
0.0ms	x	@	-inf	(*.f64 (log.f64 x) (+.f64 -1/2 x))
0.0ms	x	@	0	(*.f64 (log.f64 x) (+.f64 -1/2 x))

rewrite67.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

495×	`fma-def_binary64`
489×	`log-prod_binary64`
355×	`pow-prod-down_binary64`
289×	`pow2_binary64`
216×	`fma-neg_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	24
1	217	22
2	3207	22

Stop Event

1×	node limit

Counts

2 → 129

Calls

Call 1

Inputs
(+.f64 (-.f64 91893853320467/100000000000000 x) (*.f64 (log.f64 x) (+.f64 -1/2 x)))
(*.f64 (log.f64 x) (+.f64 -1/2 x))

Outputs

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(*.f64 x (log.f64 x)) 2) (*.f64 (*.f64 (log.f64 x) -1/2) (*.f64 x (log.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (*.f64 (log.f64 x) -1/2) 2) (pow.f64 (*.f64 x (log.f64 x)) 2)) (-.f64 (*.f64 (log.f64 x) -1/2) (*.f64 x (log.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 -1/8 (pow.f64 x 3)) (log.f64 x)) (fma.f64 x (-.f64 x -1/2) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1/4 (*.f64 x x)) (log.f64 x)) (-.f64 -1/2 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (log.f64 x) (+.f64 -1/8 (pow.f64 x 3))) (fma.f64 x (-.f64 x -1/2) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (log.f64 x) (-.f64 1/4 (*.f64 x x))) (-.f64 -1/2 x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (log.f64 x) (+.f64 x -1/2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (log.f64 x) (+.f64 x -1/2)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (log.f64 x) (+.f64 x -1/2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (log.f64 x) (+.f64 x -1/2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (log.f64 x) (+.f64 x -1/2)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (log.f64 x) (+.f64 x -1/2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 x (+.f64 x -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (-.f64 (pow.f64 x (+.f64 x -1/2)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 (*.f64 x (log.f64 x))) (exp.f64 (*.f64 (log.f64 x) -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (log.f64 x) (+.f64 x -1/2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (log.f64 x) (+.f64 x -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x (log.f64 x) (*.f64 (log.f64 x) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (log.f64 x) x (*.f64 (log.f64 x) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (log.f64 x) -1/2 (*.f64 x (log.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1/2 (log.f64 x) (*.f64 x (log.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 (log.f64 x) -1/2) (*.f64 x (log.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 x (log.f64 x)) (*.f64 (log.f64 x) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 (log.f64 x) 2)) (*.f64 (cbrt.f64 (log.f64 x)) -1/2) (*.f64 x (log.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 (log.f64 x) 2)) (*.f64 (cbrt.f64 (log.f64 x)) x) (*.f64 (log.f64 x) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 x x)) (*.f64 (cbrt.f64 x) (log.f64 x)) (*.f64 (log.f64 x) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (log.f64 x)) (*.f64 (sqrt.f64 (log.f64 x)) -1/2) (*.f64 x (log.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (log.f64 x)) (*.f64 (sqrt.f64 (log.f64 x)) x) (*.f64 (log.f64 x) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (log.f64 x)) (*.f64 (log.f64 x) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (log.f64 x) -1/2) 1 (*.f64 (*.f64 x (log.f64 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 x (log.f64 x))) 2) (cbrt.f64 (*.f64 x (log.f64 x))) (*.f64 (log.f64 x) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 (log.f64 x) -1/2)) 2) (cbrt.f64 (*.f64 (log.f64 x) -1/2)) (*.f64 x (log.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 x (log.f64 x))) (sqrt.f64 (*.f64 x (log.f64 x))) (*.f64 (log.f64 x) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 (log.f64 x) -1/2)) (sqrt.f64 (*.f64 (log.f64 x) -1/2)) (*.f64 x (log.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 -1/2 (cbrt.f64 (pow.f64 (log.f64 x) 2))) (cbrt.f64 (log.f64 x)) (*.f64 x (log.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 -1/2 (sqrt.f64 (log.f64 x))) (sqrt.f64 (log.f64 x)) (*.f64 x (log.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (log.f64 x) (cbrt.f64 (*.f64 x x))) (cbrt.f64 x) (*.f64 (log.f64 x) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (log.f64 x) (sqrt.f64 x)) (sqrt.f64 x) (*.f64 (log.f64 x) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x (cbrt.f64 (pow.f64 (log.f64 x) 2))) (cbrt.f64 (log.f64 x)) (*.f64 (log.f64 x) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x (sqrt.f64 (log.f64 x))) (sqrt.f64 (log.f64 x)) (*.f64 (log.f64 x) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (-.f64 (pow.f64 x (+.f64 x -1/2)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (log.f64 x) (+.f64 x -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (log.f64 x) (+.f64 x -1/2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 (log.f64 x) (+.f64 x -1/2)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 (log.f64 x) (+.f64 x -1/2)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (*.f64 (log.f64 x) (+.f64 x -1/2)))) 1/3))))))

simplify97.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

808×	`fma-def_binary64`
730×	`unsub-neg_binary64`
525×	`sub-neg_binary64`
463×	`+-commutative_binary64`
368×	`distribute-neg-in_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	41	327
1	116	286
2	319	268
3	1025	259
4	3231	259
5	5235	259
6	6900	259
7	7456	259
8	7776	259
9	7901	259
10	7947	259

Stop Event

1×	node limit

Counts

153 → 146

Calls

Call 1

Inputs
(+.f64 (*.f64 -1/2 (log.f64 x)) 91893853320467/100000000000000)
(+.f64 91893853320467/100000000000000 (+.f64 (.f64 -1/2 (log.f64 x)) (.f64 (-.f64 (log.f64 x) 1) x)))
(+.f64 91893853320467/100000000000000 (+.f64 (.f64 -1/2 (log.f64 x)) (.f64 (-.f64 (log.f64 x) 1) x)))
(+.f64 91893853320467/100000000000000 (+.f64 (.f64 -1/2 (log.f64 x)) (.f64 (-.f64 (log.f64 x) 1) x)))
(.f64 (-.f64 (.f64 -1 (log.f64 (/.f64 1 x))) 1) x)
(+.f64 91893853320467/100000000000000 (+.f64 (.f64 (-.f64 (.f64 -1 (log.f64 (/.f64 1 x))) 1) x) (*.f64 1/2 (log.f64 (/.f64 1 x)))))
(+.f64 91893853320467/100000000000000 (+.f64 (.f64 (-.f64 (.f64 -1 (log.f64 (/.f64 1 x))) 1) x) (*.f64 1/2 (log.f64 (/.f64 1 x)))))
(+.f64 91893853320467/100000000000000 (+.f64 (.f64 (-.f64 (.f64 -1 (log.f64 (/.f64 1 x))) 1) x) (*.f64 1/2 (log.f64 (/.f64 1 x)))))
(.f64 -1 (.f64 x (+.f64 1 (.f64 -1 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))))))
(+.f64 91893853320467/100000000000000 (+.f64 (.f64 -1/2 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))) (.f64 -1 (.f64 x (+.f64 1 (.f64 -1 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))))))))
(+.f64 91893853320467/100000000000000 (+.f64 (.f64 -1/2 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))) (.f64 -1 (.f64 x (+.f64 1 (.f64 -1 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))))))))
(+.f64 91893853320467/100000000000000 (+.f64 (.f64 -1/2 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))) (.f64 -1 (.f64 x (+.f64 1 (.f64 -1 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))))))))
(*.f64 -1/2 (log.f64 x))
(+.f64 (.f64 -1/2 (log.f64 x)) (.f64 (log.f64 x) x))
(+.f64 (.f64 -1/2 (log.f64 x)) (.f64 (log.f64 x) x))
(+.f64 (.f64 -1/2 (log.f64 x)) (.f64 (log.f64 x) x))
(.f64 -1 (.f64 (log.f64 (/.f64 1 x)) x))
(+.f64 (.f64 -1 (.f64 (log.f64 (/.f64 1 x)) x)) (*.f64 1/2 (log.f64 (/.f64 1 x))))
(+.f64 (.f64 -1 (.f64 (log.f64 (/.f64 1 x)) x)) (*.f64 1/2 (log.f64 (/.f64 1 x))))
(+.f64 (.f64 -1 (.f64 (log.f64 (/.f64 1 x)) x)) (*.f64 1/2 (log.f64 (/.f64 1 x))))
(.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) x)
(+.f64 (.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) x) (.f64 -1/2 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))))
(+.f64 (.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) x) (.f64 -1/2 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))))
(+.f64 (.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) x) (.f64 -1/2 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))))

Outputs
(+.f64 (*.f64 -1/2 (log.f64 x)) 91893853320467/100000000000000)
(fma.f64 -1/2 (log.f64 x) 91893853320467/100000000000000)
(+.f64 91893853320467/100000000000000 (+.f64 (.f64 -1/2 (log.f64 x)) (.f64 (-.f64 (log.f64 x) 1) x)))
(+.f64 91893853320467/100000000000000 (fma.f64 -1/2 (log.f64 x) (*.f64 x (+.f64 (log.f64 x) -1))))
(+.f64 91893853320467/100000000000000 (fma.f64 x (+.f64 (log.f64 x) -1) (*.f64 -1/2 (log.f64 x))))
(fma.f64 -1/2 (log.f64 x) (fma.f64 x (+.f64 (log.f64 x) -1) 91893853320467/100000000000000))
(+.f64 91893853320467/100000000000000 (fma.f64 (log.f64 x) (+.f64 -1/2 x) (neg.f64 x)))
(+.f64 91893853320467/100000000000000 (+.f64 (.f64 -1/2 (log.f64 x)) (.f64 (-.f64 (log.f64 x) 1) x)))
(+.f64 91893853320467/100000000000000 (fma.f64 -1/2 (log.f64 x) (*.f64 x (+.f64 (log.f64 x) -1))))
(+.f64 91893853320467/100000000000000 (fma.f64 x (+.f64 (log.f64 x) -1) (*.f64 -1/2 (log.f64 x))))
(fma.f64 -1/2 (log.f64 x) (fma.f64 x (+.f64 (log.f64 x) -1) 91893853320467/100000000000000))
(+.f64 91893853320467/100000000000000 (fma.f64 (log.f64 x) (+.f64 -1/2 x) (neg.f64 x)))
(+.f64 91893853320467/100000000000000 (+.f64 (.f64 -1/2 (log.f64 x)) (.f64 (-.f64 (log.f64 x) 1) x)))
(+.f64 91893853320467/100000000000000 (fma.f64 -1/2 (log.f64 x) (*.f64 x (+.f64 (log.f64 x) -1))))
(+.f64 91893853320467/100000000000000 (fma.f64 x (+.f64 (log.f64 x) -1) (*.f64 -1/2 (log.f64 x))))
(fma.f64 -1/2 (log.f64 x) (fma.f64 x (+.f64 (log.f64 x) -1) 91893853320467/100000000000000))
(+.f64 91893853320467/100000000000000 (fma.f64 (log.f64 x) (+.f64 -1/2 x) (neg.f64 x)))
(.f64 (-.f64 (.f64 -1 (log.f64 (/.f64 1 x))) 1) x)
(*.f64 x (fma.f64 -1 (neg.f64 (log.f64 x)) -1))
(*.f64 x (+.f64 (log.f64 x) -1))
(-.f64 (*.f64 x (log.f64 x)) x)
(fma.f64 x (log.f64 x) (neg.f64 x))
(+.f64 91893853320467/100000000000000 (+.f64 (.f64 (-.f64 (.f64 -1 (log.f64 (/.f64 1 x))) 1) x) (*.f64 1/2 (log.f64 (/.f64 1 x)))))
(+.f64 91893853320467/100000000000000 (fma.f64 -1/2 (log.f64 x) (*.f64 x (+.f64 (log.f64 x) -1))))
(+.f64 91893853320467/100000000000000 (fma.f64 x (+.f64 (log.f64 x) -1) (*.f64 -1/2 (log.f64 x))))
(fma.f64 -1/2 (log.f64 x) (fma.f64 x (+.f64 (log.f64 x) -1) 91893853320467/100000000000000))
(+.f64 91893853320467/100000000000000 (fma.f64 (log.f64 x) (+.f64 -1/2 x) (neg.f64 x)))
(+.f64 91893853320467/100000000000000 (+.f64 (.f64 (-.f64 (.f64 -1 (log.f64 (/.f64 1 x))) 1) x) (*.f64 1/2 (log.f64 (/.f64 1 x)))))
(+.f64 91893853320467/100000000000000 (fma.f64 -1/2 (log.f64 x) (*.f64 x (+.f64 (log.f64 x) -1))))
(+.f64 91893853320467/100000000000000 (fma.f64 x (+.f64 (log.f64 x) -1) (*.f64 -1/2 (log.f64 x))))
(fma.f64 -1/2 (log.f64 x) (fma.f64 x (+.f64 (log.f64 x) -1) 91893853320467/100000000000000))
(+.f64 91893853320467/100000000000000 (fma.f64 (log.f64 x) (+.f64 -1/2 x) (neg.f64 x)))
(+.f64 91893853320467/100000000000000 (+.f64 (.f64 (-.f64 (.f64 -1 (log.f64 (/.f64 1 x))) 1) x) (*.f64 1/2 (log.f64 (/.f64 1 x)))))
(+.f64 91893853320467/100000000000000 (fma.f64 -1/2 (log.f64 x) (*.f64 x (+.f64 (log.f64 x) -1))))
(+.f64 91893853320467/100000000000000 (fma.f64 x (+.f64 (log.f64 x) -1) (*.f64 -1/2 (log.f64 x))))
(fma.f64 -1/2 (log.f64 x) (fma.f64 x (+.f64 (log.f64 x) -1) 91893853320467/100000000000000))
(+.f64 91893853320467/100000000000000 (fma.f64 (log.f64 x) (+.f64 -1/2 x) (neg.f64 x)))
(.f64 -1 (.f64 x (+.f64 1 (.f64 -1 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))))))
(*.f64 x (fma.f64 -1 (neg.f64 (log.f64 x)) -1))
(*.f64 x (+.f64 (log.f64 x) -1))
(-.f64 (*.f64 x (log.f64 x)) x)
(fma.f64 x (log.f64 x) (neg.f64 x))
(+.f64 91893853320467/100000000000000 (+.f64 (.f64 -1/2 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))) (.f64 -1 (.f64 x (+.f64 1 (.f64 -1 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))))))))
(+.f64 91893853320467/100000000000000 (fma.f64 -1/2 (log.f64 x) (*.f64 x (+.f64 (log.f64 x) -1))))
(+.f64 91893853320467/100000000000000 (fma.f64 x (+.f64 (log.f64 x) -1) (*.f64 -1/2 (log.f64 x))))
(fma.f64 -1/2 (log.f64 x) (fma.f64 x (+.f64 (log.f64 x) -1) 91893853320467/100000000000000))
(+.f64 91893853320467/100000000000000 (fma.f64 (log.f64 x) (+.f64 -1/2 x) (neg.f64 x)))
(+.f64 91893853320467/100000000000000 (+.f64 (.f64 -1/2 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))) (.f64 -1 (.f64 x (+.f64 1 (.f64 -1 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))))))))
(+.f64 91893853320467/100000000000000 (fma.f64 -1/2 (log.f64 x) (*.f64 x (+.f64 (log.f64 x) -1))))
(+.f64 91893853320467/100000000000000 (fma.f64 x (+.f64 (log.f64 x) -1) (*.f64 -1/2 (log.f64 x))))
(fma.f64 -1/2 (log.f64 x) (fma.f64 x (+.f64 (log.f64 x) -1) 91893853320467/100000000000000))
(+.f64 91893853320467/100000000000000 (fma.f64 (log.f64 x) (+.f64 -1/2 x) (neg.f64 x)))
(+.f64 91893853320467/100000000000000 (+.f64 (.f64 -1/2 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))) (.f64 -1 (.f64 x (+.f64 1 (.f64 -1 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))))))))
(+.f64 91893853320467/100000000000000 (fma.f64 -1/2 (log.f64 x) (*.f64 x (+.f64 (log.f64 x) -1))))
(+.f64 91893853320467/100000000000000 (fma.f64 x (+.f64 (log.f64 x) -1) (*.f64 -1/2 (log.f64 x))))
(fma.f64 -1/2 (log.f64 x) (fma.f64 x (+.f64 (log.f64 x) -1) 91893853320467/100000000000000))
(+.f64 91893853320467/100000000000000 (fma.f64 (log.f64 x) (+.f64 -1/2 x) (neg.f64 x)))
(*.f64 -1/2 (log.f64 x))
(+.f64 (.f64 -1/2 (log.f64 x)) (.f64 (log.f64 x) x))
(fma.f64 -1/2 (log.f64 x) (*.f64 x (log.f64 x)))
(*.f64 (log.f64 x) (+.f64 -1/2 x))
(+.f64 (.f64 -1/2 (log.f64 x)) (.f64 (log.f64 x) x))
(fma.f64 -1/2 (log.f64 x) (*.f64 x (log.f64 x)))
(*.f64 (log.f64 x) (+.f64 -1/2 x))
(+.f64 (.f64 -1/2 (log.f64 x)) (.f64 (log.f64 x) x))
(fma.f64 -1/2 (log.f64 x) (*.f64 x (log.f64 x)))
(*.f64 (log.f64 x) (+.f64 -1/2 x))
(.f64 -1 (.f64 (log.f64 (/.f64 1 x)) x))
(*.f64 (neg.f64 (neg.f64 (log.f64 x))) x)
(*.f64 x (log.f64 x))
(+.f64 (.f64 -1 (.f64 (log.f64 (/.f64 1 x)) x)) (*.f64 1/2 (log.f64 (/.f64 1 x))))
(fma.f64 -1/2 (log.f64 x) (*.f64 x (log.f64 x)))
(*.f64 (log.f64 x) (+.f64 -1/2 x))
(+.f64 (.f64 -1 (.f64 (log.f64 (/.f64 1 x)) x)) (*.f64 1/2 (log.f64 (/.f64 1 x))))
(fma.f64 -1/2 (log.f64 x) (*.f64 x (log.f64 x)))
(*.f64 (log.f64 x) (+.f64 -1/2 x))
(+.f64 (.f64 -1 (.f64 (log.f64 (/.f64 1 x)) x)) (*.f64 1/2 (log.f64 (/.f64 1 x))))
(fma.f64 -1/2 (log.f64 x) (*.f64 x (log.f64 x)))
(*.f64 (log.f64 x) (+.f64 -1/2 x))
(.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) x)
(*.f64 (neg.f64 (neg.f64 (log.f64 x))) x)
(*.f64 x (log.f64 x))
(+.f64 (.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) x) (.f64 -1/2 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))))
(fma.f64 -1/2 (log.f64 x) (*.f64 x (log.f64 x)))
(*.f64 (log.f64 x) (+.f64 -1/2 x))
(+.f64 (.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) x) (.f64 -1/2 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))))
(fma.f64 -1/2 (log.f64 x) (*.f64 x (log.f64 x)))
(*.f64 (log.f64 x) (+.f64 -1/2 x))
(+.f64 (.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) x) (.f64 -1/2 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))))
(fma.f64 -1/2 (log.f64 x) (*.f64 x (log.f64 x)))
(*.f64 (log.f64 x) (+.f64 -1/2 x))

localize36.0ms (0.2%)

Local error

Found 8 expressions with local error:

New	Error	Program
	0.1b	(fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000)
	0.0b	(fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000)
	0.0b	(+.f64 y 7936500793651/10000000000000000)
	0.0b	(+.f64 (+.f64 (-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (cbrt.f64 (pow.f64 (/.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000) x) 3)))
	0.2b	(-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x)
✓	0.3b	(pow.f64 (/.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000) x) 3)
	5.0b	(/.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000) x)
✓	39.5b	(cbrt.f64 (pow.f64 (/.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000) x) 3))

series19.0ms (0.1%)

Counts

2 → 72

Calls

18 calls:

Time	Variable		Point	Expression
3.0ms	z	@	-inf	(pow.f64 (/.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000) x) 3)
3.0ms	x	@	-inf	(cbrt.f64 (pow.f64 (/.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000) x) 3))
2.0ms	y	@	0	(pow.f64 (/.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000) x) 3)
2.0ms	z	@	inf	(pow.f64 (/.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000) x) 3)
1.0ms	z	@	0	(pow.f64 (/.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000) x) 3)

rewrite159.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

582×	`log-prod_binary64`
352×	`pow2_binary64`
348×	`pow-prod-down_binary64`
244×	`expm1-udef_binary64`
244×	`log1p-udef_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	33
1	309	33
2	3538	33

Stop Event

1×	node limit

Counts

2 → 89

Calls

Call 1

Inputs

(cbrt.f64 (pow.f64 (/.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000) x) 3))

(pow.f64 (/.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000) x) 3)

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (fma.f64 z (fma.f64 z (+.f64 y 7936500793651/10000000000000000) -13888888888889/5000000000000000) 83333333333333/1000000000000000) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (fma.f64 z (fma.f64 z (+.f64 y 7936500793651/10000000000000000) -13888888888889/5000000000000000) 83333333333333/1000000000000000) x))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (fma.f64 z (fma.f64 z (+.f64 y 7936500793651/10000000000000000) -13888888888889/5000000000000000) 83333333333333/1000000000000000) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (fma.f64 z (fma.f64 z (+.f64 y 7936500793651/10000000000000000) -13888888888889/5000000000000000) 83333333333333/1000000000000000) x)))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (fma.f64 z (fma.f64 z (+.f64 y 7936500793651/10000000000000000) -13888888888889/5000000000000000) 83333333333333/1000000000000000) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (fma.f64 z (fma.f64 z (+.f64 y 7936500793651/10000000000000000) -13888888888889/5000000000000000) 83333333333333/1000000000000000) x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 z (fma.f64 z (+.f64 y 7936500793651/10000000000000000) -13888888888889/5000000000000000) 83333333333333/1000000000000000) (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (fma.f64 z (fma.f64 z (+.f64 y 7936500793651/10000000000000000) -13888888888889/5000000000000000) 83333333333333/1000000000000000) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (fma.f64 z (fma.f64 z (+.f64 y 7936500793651/10000000000000000) -13888888888889/5000000000000000) 83333333333333/1000000000000000) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (fma.f64 z (fma.f64 z (+.f64 y 7936500793651/10000000000000000) -13888888888889/5000000000000000) 83333333333333/1000000000000000) x)) (pow.f64 (cbrt.f64 (/.f64 (fma.f64 z (fma.f64 z (+.f64 y 7936500793651/10000000000000000) -13888888888889/5000000000000000) 83333333333333/1000000000000000) x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (fma.f64 z (fma.f64 z (+.f64 y 7936500793651/10000000000000000) -13888888888889/5000000000000000) 83333333333333/1000000000000000) x)) 2) (cbrt.f64 (/.f64 (fma.f64 z (fma.f64 z (+.f64 y 7936500793651/10000000000000000) -13888888888889/5000000000000000) 83333333333333/1000000000000000) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (fma.f64 z (fma.f64 z (+.f64 y 7936500793651/10000000000000000) -13888888888889/5000000000000000) 83333333333333/1000000000000000) 2)) (*.f64 (cbrt.f64 (fma.f64 z (fma.f64 z (+.f64 y 7936500793651/10000000000000000) -13888888888889/5000000000000000) 83333333333333/1000000000000000)) (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (fma.f64 z (fma.f64 z (+.f64 y 7936500793651/10000000000000000) -13888888888889/5000000000000000) 83333333333333/1000000000000000) x)) (sqrt.f64 (/.f64 (fma.f64 z (fma.f64 z (+.f64 y 7936500793651/10000000000000000) -13888888888889/5000000000000000) 83333333333333/1000000000000000) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 z (fma.f64 z (+.f64 y 7936500793651/10000000000000000) -13888888888889/5000000000000000) 83333333333333/1000000000000000)) (*.f64 (sqrt.f64 (fma.f64 z (fma.f64 z (+.f64 y 7936500793651/10000000000000000) -13888888888889/5000000000000000) 83333333333333/1000000000000000)) (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (fma.f64 z (fma.f64 z (+.f64 y 7936500793651/10000000000000000) -13888888888889/5000000000000000) 83333333333333/1000000000000000)) (/.f64 1 (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 x) (fma.f64 z (fma.f64 z (+.f64 y 7936500793651/10000000000000000) -13888888888889/5000000000000000) 83333333333333/1000000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (/.f64 (fma.f64 z (fma.f64 z (+.f64 y 7936500793651/10000000000000000) -13888888888889/5000000000000000) 83333333333333/1000000000000000) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 (fma.f64 z (fma.f64 z (+.f64 y 7936500793651/10000000000000000) -13888888888889/5000000000000000) 83333333333333/1000000000000000) 2)) 1) (/.f64 (cbrt.f64 (fma.f64 z (fma.f64 z (+.f64 y 7936500793651/10000000000000000) -13888888888889/5000000000000000) 83333333333333/1000000000000000)) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (fma.f64 z (fma.f64 z (+.f64 y 7936500793651/10000000000000000) -13888888888889/5000000000000000) 83333333333333/1000000000000000)) 1) (/.f64 (sqrt.f64 (fma.f64 z (fma.f64 z (+.f64 y 7936500793651/10000000000000000) -13888888888889/5000000000000000) 83333333333333/1000000000000000)) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 x) -2) (/.f64 (fma.f64 z (fma.f64 z (+.f64 y 7936500793651/10000000000000000) -13888888888889/5000000000000000) 83333333333333/1000000000000000) (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 (fma.f64 z (fma.f64 z (+.f64 y 7936500793651/10000000000000000) -13888888888889/5000000000000000) 83333333333333/1000000000000000) 2)) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (/.f64 (fma.f64 z (fma.f64 z (+.f64 y 7936500793651/10000000000000000) -13888888888889/5000000000000000) 83333333333333/1000000000000000) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (fma.f64 z (fma.f64 z (+.f64 y 7936500793651/10000000000000000) -13888888888889/5000000000000000) 83333333333333/1000000000000000)) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (sqrt.f64 (fma.f64 z (fma.f64 z (+.f64 y 7936500793651/10000000000000000) -13888888888889/5000000000000000) 83333333333333/1000000000000000)) (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 x -1/2) (/.f64 (fma.f64 z (fma.f64 z (+.f64 y 7936500793651/10000000000000000) -13888888888889/5000000000000000) 83333333333333/1000000000000000) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 (fma.f64 z (fma.f64 z (+.f64 y 7936500793651/10000000000000000) -13888888888889/5000000000000000) 83333333333333/1000000000000000) 2)) (sqrt.f64 x)) (/.f64 (cbrt.f64 (fma.f64 z (fma.f64 z (+.f64 y 7936500793651/10000000000000000) -13888888888889/5000000000000000) 83333333333333/1000000000000000)) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 z (fma.f64 z (+.f64 y 7936500793651/10000000000000000) -13888888888889/5000000000000000) 83333333333333/1000000000000000) x)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 x (fma.f64 z (fma.f64 z (+.f64 y 7936500793651/10000000000000000) -13888888888889/5000000000000000) 83333333333333/1000000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (/.f64 x (fma.f64 z (fma.f64 z (+.f64 y 7936500793651/10000000000000000) -13888888888889/5000000000000000) 83333333333333/1000000000000000)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 (pow.f64 (fma.f64 z (fma.f64 z (+.f64 y 7936500793651/10000000000000000) -13888888888889/5000000000000000) 83333333333333/1000000000000000) 2)) (/.f64 x (cbrt.f64 (fma.f64 z (fma.f64 z (+.f64 y 7936500793651/10000000000000000) -13888888888889/5000000000000000) 83333333333333/1000000000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (fma.f64 z (fma.f64 z (+.f64 y 7936500793651/10000000000000000) -13888888888889/5000000000000000) 83333333333333/1000000000000000)) (/.f64 x (sqrt.f64 (fma.f64 z (fma.f64 z (+.f64 y 7936500793651/10000000000000000) -13888888888889/5000000000000000) 83333333333333/1000000000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (fma.f64 z (fma.f64 z (+.f64 y 7936500793651/10000000000000000) -13888888888889/5000000000000000) 83333333333333/1000000000000000)) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (neg.f64 (/.f64 x (fma.f64 z (fma.f64 z (+.f64 y 7936500793651/10000000000000000) -13888888888889/5000000000000000) 83333333333333/1000000000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (neg.f64 (fma.f64 z (fma.f64 z (+.f64 y 7936500793651/10000000000000000) -13888888888889/5000000000000000) 83333333333333/1000000000000000))) (neg.f64 (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (fma.f64 z (fma.f64 z (+.f64 y 7936500793651/10000000000000000) -13888888888889/5000000000000000) 83333333333333/1000000000000000) (sqrt.f64 x)) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (fma.f64 z (fma.f64 z (+.f64 y 7936500793651/10000000000000000) -13888888888889/5000000000000000) 83333333333333/1000000000000000) 1) x)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (fma.f64 z (fma.f64 z (+.f64 y 7936500793651/10000000000000000) -13888888888889/5000000000000000) 83333333333333/1000000000000000) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 z (fma.f64 z (+.f64 y 7936500793651/10000000000000000) -13888888888889/5000000000000000) 83333333333333/1000000000000000) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (fma.f64 z (fma.f64 z (+.f64 y 7936500793651/10000000000000000) -13888888888889/5000000000000000) 83333333333333/1000000000000000) x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (fma.f64 z (fma.f64 z (+.f64 y 7936500793651/10000000000000000) -13888888888889/5000000000000000) 83333333333333/1000000000000000) x) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (fma.f64 z (fma.f64 z (+.f64 y 7936500793651/10000000000000000) -13888888888889/5000000000000000) 83333333333333/1000000000000000) x) 6) 1/6)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (fma.f64 z (fma.f64 z (+.f64 y 7936500793651/10000000000000000) -13888888888889/5000000000000000) 83333333333333/1000000000000000) x) 9) 1/9)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (fma.f64 z (fma.f64 z (+.f64 y 7936500793651/10000000000000000) -13888888888889/5000000000000000) 83333333333333/1000000000000000) x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cbrt.f64 (/.f64 (fma.f64 z (fma.f64 z (+.f64 y 7936500793651/10000000000000000) -13888888888889/5000000000000000) 83333333333333/1000000000000000) x)) 2) 3/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (fma.f64 z (fma.f64 z (+.f64 y 7936500793651/10000000000000000) -13888888888889/5000000000000000) 83333333333333/1000000000000000) x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 x (fma.f64 z (fma.f64 z (+.f64 y 7936500793651/10000000000000000) -13888888888889/5000000000000000) 83333333333333/1000000000000000)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (fma.f64 z (fma.f64 z (+.f64 y 7936500793651/10000000000000000) -13888888888889/5000000000000000) 83333333333333/1000000000000000) x) 3/2) 2/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 x (fma.f64 z (fma.f64 z (+.f64 y 7936500793651/10000000000000000) -13888888888889/5000000000000000) 83333333333333/1000000000000000)) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (fma.f64 z (fma.f64 z (+.f64 y 7936500793651/10000000000000000) -13888888888889/5000000000000000) 83333333333333/1000000000000000) (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (fma.f64 z (fma.f64 z (+.f64 y 7936500793651/10000000000000000) -13888888888889/5000000000000000) 83333333333333/1000000000000000) x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (fma.f64 z (fma.f64 z (+.f64 y 7936500793651/10000000000000000) -13888888888889/5000000000000000) 83333333333333/1000000000000000) x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (fma.f64 z (fma.f64 z (+.f64 y 7936500793651/10000000000000000) -13888888888889/5000000000000000) 83333333333333/1000000000000000) x))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (fma.f64 z (fma.f64 z (+.f64 y 7936500793651/10000000000000000) -13888888888889/5000000000000000) 83333333333333/1000000000000000) x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (fma.f64 z (fma.f64 z (+.f64 y 7936500793651/10000000000000000) -13888888888889/5000000000000000) 83333333333333/1000000000000000) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (fma.f64 z (fma.f64 z (+.f64 y 7936500793651/10000000000000000) -13888888888889/5000000000000000) 83333333333333/1000000000000000) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (fma.f64 z (fma.f64 z (+.f64 y 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((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (pow.f64 (/.f64 (fma.f64 z (fma.f64 z (+.f64 y 7936500793651/10000000000000000) -13888888888889/5000000000000000) 83333333333333/1000000000000000) x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (pow.f64 (/.f64 (fma.f64 z (fma.f64 z (+.f64 y 7936500793651/10000000000000000) -13888888888889/5000000000000000) 83333333333333/1000000000000000) x) 3))) 2)) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (/.f64 (fma.f64 z (fma.f64 z (+.f64 y 7936500793651/10000000000000000) -13888888888889/5000000000000000) 83333333333333/1000000000000000) x) 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (/.f64 (fma.f64 z (fma.f64 z (+.f64 y 7936500793651/10000000000000000) -13888888888889/5000000000000000) 83333333333333/1000000000000000) x) 3)))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (/.f64 (fma.f64 z (fma.f64 z (+.f64 y 7936500793651/10000000000000000) -13888888888889/5000000000000000) 83333333333333/1000000000000000) x) 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 (/.f64 (fma.f64 z (fma.f64 z (+.f64 y 7936500793651/10000000000000000) -13888888888889/5000000000000000) 83333333333333/1000000000000000) x) 3))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 z (fma.f64 z (+.f64 y 7936500793651/10000000000000000) -13888888888889/5000000000000000) 83333333333333/1000000000000000) (*.f64 (/.f64 1 x) (pow.f64 (/.f64 (fma.f64 z (fma.f64 z (+.f64 y 7936500793651/10000000000000000) -13888888888889/5000000000000000) 83333333333333/1000000000000000) x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (fma.f64 z (fma.f64 z (+.f64 y 7936500793651/10000000000000000) -13888888888889/5000000000000000) 83333333333333/1000000000000000) x) (pow.f64 (/.f64 (fma.f64 z (fma.f64 z (+.f64 y 7936500793651/10000000000000000) -13888888888889/5000000000000000) 83333333333333/1000000000000000) x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 (fma.f64 z (fma.f64 z (+.f64 y 7936500793651/10000000000000000) -13888888888889/5000000000000000) 83333333333333/1000000000000000) x) 3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 (/.f64 (fma.f64 z (fma.f64 z (+.f64 y 7936500793651/10000000000000000) -13888888888889/5000000000000000) 83333333333333/1000000000000000) x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 (fma.f64 z (fma.f64 z (+.f64 y 7936500793651/10000000000000000) -13888888888889/5000000000000000) 83333333333333/1000000000000000) x) 2) (/.f64 (fma.f64 z (fma.f64 z (+.f64 y 7936500793651/10000000000000000) -13888888888889/5000000000000000) 83333333333333/1000000000000000) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (fma.f64 z (fma.f64 z (+.f64 y 7936500793651/10000000000000000) -13888888888889/5000000000000000) 83333333333333/1000000000000000) x)) 2) (*.f64 (cbrt.f64 (/.f64 (fma.f64 z (fma.f64 z (+.f64 y 7936500793651/10000000000000000) -13888888888889/5000000000000000) 83333333333333/1000000000000000) x)) (pow.f64 (/.f64 (fma.f64 z (fma.f64 z (+.f64 y 7936500793651/10000000000000000) -13888888888889/5000000000000000) 83333333333333/1000000000000000) x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (fma.f64 z (fma.f64 z (+.f64 y 7936500793651/10000000000000000) -13888888888889/5000000000000000) 83333333333333/1000000000000000) x)) (*.f64 (sqrt.f64 (/.f64 (fma.f64 z (fma.f64 z (+.f64 y 7936500793651/10000000000000000) -13888888888889/5000000000000000) 83333333333333/1000000000000000) x)) (pow.f64 (/.f64 (fma.f64 z (fma.f64 z (+.f64 y 7936500793651/10000000000000000) -13888888888889/5000000000000000) 83333333333333/1000000000000000) x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (fma.f64 z (fma.f64 z (+.f64 y 7936500793651/10000000000000000) -13888888888889/5000000000000000) 83333333333333/1000000000000000) 3) (pow.f64 x -3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 (fma.f64 z (fma.f64 z (+.f64 y 7936500793651/10000000000000000) -13888888888889/5000000000000000) 83333333333333/1000000000000000) x) 3/2) (pow.f64 (/.f64 (fma.f64 z (fma.f64 z (+.f64 y 7936500793651/10000000000000000) -13888888888889/5000000000000000) 83333333333333/1000000000000000) x) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (/.f64 (fma.f64 z (fma.f64 z (+.f64 y 7936500793651/10000000000000000) -13888888888889/5000000000000000) 83333333333333/1000000000000000) x) 2) (fma.f64 z (fma.f64 z (+.f64 y 7936500793651/10000000000000000) -13888888888889/5000000000000000) 83333333333333/1000000000000000)) (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (/.f64 (fma.f64 z (fma.f64 z (+.f64 y 7936500793651/10000000000000000) -13888888888889/5000000000000000) 83333333333333/1000000000000000) x) 2) 1) (/.f64 (fma.f64 z (fma.f64 z (+.f64 y 7936500793651/10000000000000000) -13888888888889/5000000000000000) 83333333333333/1000000000000000) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 (/.f64 (fma.f64 z (fma.f64 z (+.f64 y 7936500793651/10000000000000000) -13888888888889/5000000000000000) 83333333333333/1000000000000000) x) (cbrt.f64 (/.f64 (fma.f64 z (fma.f64 z (+.f64 y 7936500793651/10000000000000000) -13888888888889/5000000000000000) 83333333333333/1000000000000000) x))) 2) (cbrt.f64 (/.f64 (fma.f64 z (fma.f64 z (+.f64 y 7936500793651/10000000000000000) -13888888888889/5000000000000000) 83333333333333/1000000000000000) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (/.f64 (fma.f64 z (fma.f64 z (+.f64 y 7936500793651/10000000000000000) -13888888888889/5000000000000000) 83333333333333/1000000000000000) x) 2) (sqrt.f64 (/.f64 (fma.f64 z (fma.f64 z (+.f64 y 7936500793651/10000000000000000) -13888888888889/5000000000000000) 83333333333333/1000000000000000) x))) (sqrt.f64 (/.f64 (fma.f64 z (fma.f64 z (+.f64 y 7936500793651/10000000000000000) -13888888888889/5000000000000000) 83333333333333/1000000000000000) x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (pow.f64 x 3) (pow.f64 (fma.f64 z (fma.f64 z (+.f64 y 7936500793651/10000000000000000) -13888888888889/5000000000000000) 83333333333333/1000000000000000) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (pow.f64 (/.f64 x (fma.f64 z (fma.f64 z (+.f64 y 7936500793651/10000000000000000) -13888888888889/5000000000000000) 83333333333333/1000000000000000)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (/.f64 (fma.f64 z (fma.f64 z (+.f64 y 7936500793651/10000000000000000) -13888888888889/5000000000000000) 83333333333333/1000000000000000) x) 2) (/.f64 x (fma.f64 z (fma.f64 z (+.f64 y 7936500793651/10000000000000000) -13888888888889/5000000000000000) 83333333333333/1000000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (fma.f64 z (fma.f64 z (+.f64 y 7936500793651/10000000000000000) -13888888888889/5000000000000000) 83333333333333/1000000000000000) 3) (pow.f64 x 3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (neg.f64 (fma.f64 z (fma.f64 z (+.f64 y 7936500793651/10000000000000000) -13888888888889/5000000000000000) 83333333333333/1000000000000000)) 3) (pow.f64 (neg.f64 x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (pow.f64 (fma.f64 z (fma.f64 z (+.f64 y 7936500793651/10000000000000000) -13888888888889/5000000000000000) 83333333333333/1000000000000000) 3)) (neg.f64 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (fma.f64 z (fma.f64 z (+.f64 y 7936500793651/10000000000000000) -13888888888889/5000000000000000) 83333333333333/1000000000000000) (pow.f64 (/.f64 (fma.f64 z (fma.f64 z (+.f64 y 7936500793651/10000000000000000) -13888888888889/5000000000000000) 83333333333333/1000000000000000) x) 2)) x)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 (fma.f64 z (fma.f64 z (+.f64 y 7936500793651/10000000000000000) -13888888888889/5000000000000000) 83333333333333/1000000000000000)) (pow.f64 (/.f64 (fma.f64 z (fma.f64 z (+.f64 y 7936500793651/10000000000000000) -13888888888889/5000000000000000) 83333333333333/1000000000000000) x) 2)) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 (/.f64 (fma.f64 z (fma.f64 z (+.f64 y 7936500793651/10000000000000000) -13888888888889/5000000000000000) 83333333333333/1000000000000000) x) 2) (fma.f64 z (fma.f64 z (+.f64 y 7936500793651/10000000000000000) -13888888888889/5000000000000000) 83333333333333/1000000000000000)) x)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 (/.f64 (fma.f64 z (fma.f64 z (+.f64 y 7936500793651/10000000000000000) -13888888888889/5000000000000000) 83333333333333/1000000000000000) x) 2) 1) (/.f64 x (fma.f64 z (fma.f64 z (+.f64 y 7936500793651/10000000000000000) -13888888888889/5000000000000000) 83333333333333/1000000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 (/.f64 (fma.f64 z (fma.f64 z (+.f64 y 7936500793651/10000000000000000) -13888888888889/5000000000000000) 83333333333333/1000000000000000) x) 2) (neg.f64 (fma.f64 z (fma.f64 z (+.f64 y 7936500793651/10000000000000000) -13888888888889/5000000000000000) 83333333333333/1000000000000000))) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (fma.f64 z (fma.f64 z (+.f64 y 7936500793651/10000000000000000) -13888888888889/5000000000000000) 83333333333333/1000000000000000) x) 6))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (/.f64 (fma.f64 z (fma.f64 z (+.f64 y 7936500793651/10000000000000000) -13888888888889/5000000000000000) 83333333333333/1000000000000000) x) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 (/.f64 (fma.f64 z (fma.f64 z (+.f64 y 7936500793651/10000000000000000) -13888888888889/5000000000000000) 83333333333333/1000000000000000) x) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (fma.f64 z (fma.f64 z (+.f64 y 7936500793651/10000000000000000) -13888888888889/5000000000000000) 83333333333333/1000000000000000) x) 9))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (/.f64 (fma.f64 z (fma.f64 z (+.f64 y 7936500793651/10000000000000000) -13888888888889/5000000000000000) 83333333333333/1000000000000000) x) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (/.f64 (fma.f64 z (fma.f64 z (+.f64 y 7936500793651/10000000000000000) -13888888888889/5000000000000000) 83333333333333/1000000000000000) x) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (pow.f64 (/.f64 (fma.f64 z (fma.f64 z (+.f64 y 7936500793651/10000000000000000) -13888888888889/5000000000000000) 83333333333333/1000000000000000) x) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 (fma.f64 z (fma.f64 z (+.f64 y 7936500793651/10000000000000000) -13888888888889/5000000000000000) 83333333333333/1000000000000000) x) 3)) 1))))))

simplify81.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

945×	`times-frac_binary64`
690×	`associate-/l*_binary64`
538×	`associate-*l/_binary64`
484×	`associate-/r*_binary64`
476×	`distribute-rgt-in_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	200	3075
1	647	2779
2	2539	2776

Stop Event

1×	node limit

Counts

161 → 147

Calls

Call 1

Inputs
(/.f64 83333333333333/1000000000000000 x)
(+.f64 (.f64 83333333333333/1000000000000000 (/.f64 1 x)) (.f64 -13888888888889/5000000000000000 (/.f64 z x)))
(+.f64 (.f64 83333333333333/1000000000000000 (/.f64 1 x)) (+.f64 (.f64 -13888888888889/5000000000000000 (/.f64 z x)) (.f64 (+.f64 (/.f64 y x) (.f64 7936500793651/10000000000000000 (/.f64 1 x))) (pow.f64 z 2))))
(+.f64 (.f64 83333333333333/1000000000000000 (/.f64 1 x)) (+.f64 (.f64 -13888888888889/5000000000000000 (/.f64 z x)) (.f64 (+.f64 (/.f64 y x) (.f64 7936500793651/10000000000000000 (/.f64 1 x))) (pow.f64 z 2))))
(/.f64 (*.f64 (pow.f64 z 2) (+.f64 7936500793651/10000000000000000 y)) x)
(+.f64 (/.f64 (.f64 (pow.f64 z 2) (+.f64 7936500793651/10000000000000000 y)) x) (.f64 -13888888888889/5000000000000000 (/.f64 z x)))
(+.f64 (.f64 83333333333333/1000000000000000 (/.f64 1 x)) (+.f64 (/.f64 (.f64 (pow.f64 z 2) (+.f64 7936500793651/10000000000000000 y)) x) (*.f64 -13888888888889/5000000000000000 (/.f64 z x))))
(+.f64 (.f64 83333333333333/1000000000000000 (/.f64 1 x)) (+.f64 (/.f64 (.f64 (pow.f64 z 2) (+.f64 7936500793651/10000000000000000 y)) x) (*.f64 -13888888888889/5000000000000000 (/.f64 z x))))
(/.f64 (*.f64 (pow.f64 z 2) (+.f64 7936500793651/10000000000000000 y)) x)
(+.f64 (/.f64 (.f64 (pow.f64 z 2) (+.f64 7936500793651/10000000000000000 y)) x) (.f64 -13888888888889/5000000000000000 (/.f64 z x)))
(+.f64 (.f64 83333333333333/1000000000000000 (/.f64 1 x)) (+.f64 (/.f64 (.f64 (pow.f64 z 2) (+.f64 7936500793651/10000000000000000 y)) x) (*.f64 -13888888888889/5000000000000000 (/.f64 z x))))
(+.f64 (.f64 83333333333333/1000000000000000 (/.f64 1 x)) (+.f64 (/.f64 (.f64 (pow.f64 z 2) (+.f64 7936500793651/10000000000000000 y)) x) (*.f64 -13888888888889/5000000000000000 (/.f64 z x))))
(/.f64 (+.f64 83333333333333/1000000000000000 (.f64 (-.f64 (.f64 7936500793651/10000000000000000 z) 13888888888889/5000000000000000) z)) x)
(+.f64 (/.f64 (.f64 y (pow.f64 z 2)) x) (+.f64 (.f64 83333333333333/1000000000000000 (/.f64 1 x)) (/.f64 (.f64 (-.f64 (.f64 7936500793651/10000000000000000 z) 13888888888889/5000000000000000) z) x)))
(+.f64 (/.f64 (.f64 y (pow.f64 z 2)) x) (+.f64 (.f64 83333333333333/1000000000000000 (/.f64 1 x)) (/.f64 (.f64 (-.f64 (.f64 7936500793651/10000000000000000 z) 13888888888889/5000000000000000) z) x)))
(+.f64 (/.f64 (.f64 y (pow.f64 z 2)) x) (+.f64 (.f64 83333333333333/1000000000000000 (/.f64 1 x)) (/.f64 (.f64 (-.f64 (.f64 7936500793651/10000000000000000 z) 13888888888889/5000000000000000) z) x)))
(/.f64 (*.f64 y (pow.f64 z 2)) x)
(+.f64 (.f64 83333333333333/1000000000000000 (/.f64 1 x)) (+.f64 (/.f64 (.f64 y (pow.f64 z 2)) x) (/.f64 (.f64 (-.f64 (.f64 7936500793651/10000000000000000 z) 13888888888889/5000000000000000) z) x)))
(+.f64 (.f64 83333333333333/1000000000000000 (/.f64 1 x)) (+.f64 (/.f64 (.f64 y (pow.f64 z 2)) x) (/.f64 (.f64 (-.f64 (.f64 7936500793651/10000000000000000 z) 13888888888889/5000000000000000) z) x)))
(+.f64 (.f64 83333333333333/1000000000000000 (/.f64 1 x)) (+.f64 (/.f64 (.f64 y (pow.f64 z 2)) x) (/.f64 (.f64 (-.f64 (.f64 7936500793651/10000000000000000 z) 13888888888889/5000000000000000) z) x)))
(/.f64 (*.f64 y (pow.f64 z 2)) x)
(+.f64 (.f64 83333333333333/1000000000000000 (/.f64 1 x)) (+.f64 (/.f64 (.f64 y (pow.f64 z 2)) x) (/.f64 (.f64 (-.f64 (.f64 7936500793651/10000000000000000 z) 13888888888889/5000000000000000) z) x)))
(+.f64 (.f64 83333333333333/1000000000000000 (/.f64 1 x)) (+.f64 (/.f64 (.f64 y (pow.f64 z 2)) x) (/.f64 (.f64 (-.f64 (.f64 7936500793651/10000000000000000 z) 13888888888889/5000000000000000) z) x)))
(+.f64 (.f64 83333333333333/1000000000000000 (/.f64 1 x)) (+.f64 (/.f64 (.f64 y (pow.f64 z 2)) x) (/.f64 (.f64 (-.f64 (.f64 7936500793651/10000000000000000 z) 13888888888889/5000000000000000) z) x)))
(/.f64 (+.f64 83333333333333/1000000000000000 (.f64 (-.f64 (.f64 z (+.f64 7936500793651/10000000000000000 y)) 13888888888889/5000000000000000) z)) x)
(/.f64 (+.f64 83333333333333/1000000000000000 (.f64 (-.f64 (.f64 z (+.f64 7936500793651/10000000000000000 y)) 13888888888889/5000000000000000) z)) x)
(/.f64 (+.f64 83333333333333/1000000000000000 (.f64 (-.f64 (.f64 z (+.f64 7936500793651/10000000000000000 y)) 13888888888889/5000000000000000) z)) x)
(/.f64 (+.f64 83333333333333/1000000000000000 (.f64 (-.f64 (.f64 z (+.f64 7936500793651/10000000000000000 y)) 13888888888889/5000000000000000) z)) x)
(/.f64 (+.f64 83333333333333/1000000000000000 (.f64 (-.f64 (.f64 z (+.f64 7936500793651/10000000000000000 y)) 13888888888889/5000000000000000) z)) x)
(/.f64 (+.f64 83333333333333/1000000000000000 (.f64 (-.f64 (.f64 z (+.f64 7936500793651/10000000000000000 y)) 13888888888889/5000000000000000) z)) x)
(/.f64 (+.f64 83333333333333/1000000000000000 (.f64 (-.f64 (.f64 z (+.f64 7936500793651/10000000000000000 y)) 13888888888889/5000000000000000) z)) x)
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Outputs
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(fma.f64 y (.f64 3 (/.f64 (.f64 (.f64 z z) (pow.f64 (+.f64 (/.f64 83333333333333/1000000000000000 x) (/.f64 (.f64 z (fma.f64 7936500793651/10000000000000000 z -13888888888889/5000000000000000)) x)) 2)) x)) (+.f64 (/.f64 (.f64 (pow.f64 z 6) (pow.f64 y 3)) (pow.f64 x 3)) (fma.f64 (.f64 y y) (.f64 3 (/.f64 (+.f64 (/.f64 83333333333333/1000000000000000 x) (/.f64 (.f64 z (fma.f64 7936500793651/10000000000000000 z -13888888888889/5000000000000000)) x)) (/.f64 (.f64 x x) (pow.f64 z 4)))) (pow.f64 (+.f64 (/.f64 83333333333333/1000000000000000 x) (/.f64 (.f64 z (fma.f64 7936500793651/10000000000000000 z -13888888888889/5000000000000000)) x)) 3))))
(fma.f64 y (.f64 3 (/.f64 (.f64 (.f64 z z) (pow.f64 (+.f64 (/.f64 83333333333333/1000000000000000 x) (.f64 (/.f64 (fma.f64 z 7936500793651/10000000000000000 -13888888888889/5000000000000000) x) z)) 2)) x)) (+.f64 (/.f64 (pow.f64 y 3) (/.f64 (pow.f64 x 3) (pow.f64 z 6))) (fma.f64 (.f64 y y) (/.f64 (.f64 3 (+.f64 (/.f64 83333333333333/1000000000000000 x) (.f64 (/.f64 (fma.f64 z 7936500793651/10000000000000000 -13888888888889/5000000000000000) x) z))) (/.f64 x (/.f64 (pow.f64 z 4) x))) (pow.f64 (+.f64 (/.f64 83333333333333/1000000000000000 x) (.f64 (/.f64 (fma.f64 z 7936500793651/10000000000000000 -13888888888889/5000000000000000) x) z)) 3))))
(+.f64 (fma.f64 (.f64 y y) (.f64 3 (.f64 (/.f64 (pow.f64 z 4) (.f64 x x)) (+.f64 (/.f64 83333333333333/1000000000000000 x) (.f64 (/.f64 z x) (fma.f64 z 7936500793651/10000000000000000 -13888888888889/5000000000000000))))) (pow.f64 (+.f64 (/.f64 83333333333333/1000000000000000 x) (.f64 (/.f64 z x) (fma.f64 z 7936500793651/10000000000000000 -13888888888889/5000000000000000))) 3)) (fma.f64 y (.f64 3 (.f64 (/.f64 z (/.f64 x z)) (pow.f64 (+.f64 (/.f64 83333333333333/1000000000000000 x) (.f64 (/.f64 z x) (fma.f64 z 7936500793651/10000000000000000 -13888888888889/5000000000000000))) 2))) (.f64 (/.f64 (pow.f64 z 6) (pow.f64 x 3)) (pow.f64 y 3))))
(/.f64 (pow.f64 (+.f64 83333333333333/1000000000000000 (.f64 (-.f64 (.f64 z (+.f64 7936500793651/10000000000000000 y)) 13888888888889/5000000000000000) z)) 3) (pow.f64 x 3))
(/.f64 (pow.f64 (+.f64 83333333333333/1000000000000000 (*.f64 z (fma.f64 z (+.f64 y 7936500793651/10000000000000000) -13888888888889/5000000000000000))) 3) (pow.f64 x 3))
(/.f64 (pow.f64 (fma.f64 z (fma.f64 z (+.f64 y 7936500793651/10000000000000000) -13888888888889/5000000000000000) 83333333333333/1000000000000000) 3) (pow.f64 x 3))
(/.f64 (pow.f64 (+.f64 83333333333333/1000000000000000 (.f64 (-.f64 (.f64 z (+.f64 7936500793651/10000000000000000 y)) 13888888888889/5000000000000000) z)) 3) (pow.f64 x 3))
(/.f64 (pow.f64 (+.f64 83333333333333/1000000000000000 (*.f64 z (fma.f64 z (+.f64 y 7936500793651/10000000000000000) -13888888888889/5000000000000000))) 3) (pow.f64 x 3))
(/.f64 (pow.f64 (fma.f64 z (fma.f64 z (+.f64 y 7936500793651/10000000000000000) -13888888888889/5000000000000000) 83333333333333/1000000000000000) 3) (pow.f64 x 3))
(/.f64 (pow.f64 (+.f64 83333333333333/1000000000000000 (.f64 (-.f64 (.f64 z (+.f64 7936500793651/10000000000000000 y)) 13888888888889/5000000000000000) z)) 3) (pow.f64 x 3))
(/.f64 (pow.f64 (+.f64 83333333333333/1000000000000000 (*.f64 z (fma.f64 z (+.f64 y 7936500793651/10000000000000000) -13888888888889/5000000000000000))) 3) (pow.f64 x 3))
(/.f64 (pow.f64 (fma.f64 z (fma.f64 z (+.f64 y 7936500793651/10000000000000000) -13888888888889/5000000000000000) 83333333333333/1000000000000000) 3) (pow.f64 x 3))
(/.f64 (pow.f64 (+.f64 83333333333333/1000000000000000 (.f64 (-.f64 (.f64 z (+.f64 7936500793651/10000000000000000 y)) 13888888888889/5000000000000000) z)) 3) (pow.f64 x 3))
(/.f64 (pow.f64 (+.f64 83333333333333/1000000000000000 (*.f64 z (fma.f64 z (+.f64 y 7936500793651/10000000000000000) -13888888888889/5000000000000000))) 3) (pow.f64 x 3))
(/.f64 (pow.f64 (fma.f64 z (fma.f64 z (+.f64 y 7936500793651/10000000000000000) -13888888888889/5000000000000000) 83333333333333/1000000000000000) 3) (pow.f64 x 3))
(/.f64 (pow.f64 (+.f64 83333333333333/1000000000000000 (.f64 (-.f64 (.f64 z (+.f64 7936500793651/10000000000000000 y)) 13888888888889/5000000000000000) z)) 3) (pow.f64 x 3))
(/.f64 (pow.f64 (+.f64 83333333333333/1000000000000000 (*.f64 z (fma.f64 z (+.f64 y 7936500793651/10000000000000000) -13888888888889/5000000000000000))) 3) (pow.f64 x 3))
(/.f64 (pow.f64 (fma.f64 z (fma.f64 z (+.f64 y 7936500793651/10000000000000000) -13888888888889/5000000000000000) 83333333333333/1000000000000000) 3) (pow.f64 x 3))
(/.f64 (pow.f64 (+.f64 83333333333333/1000000000000000 (.f64 (-.f64 (.f64 z (+.f64 7936500793651/10000000000000000 y)) 13888888888889/5000000000000000) z)) 3) (pow.f64 x 3))
(/.f64 (pow.f64 (+.f64 83333333333333/1000000000000000 (*.f64 z (fma.f64 z (+.f64 y 7936500793651/10000000000000000) -13888888888889/5000000000000000))) 3) (pow.f64 x 3))
(/.f64 (pow.f64 (fma.f64 z (fma.f64 z (+.f64 y 7936500793651/10000000000000000) -13888888888889/5000000000000000) 83333333333333/1000000000000000) 3) (pow.f64 x 3))
(/.f64 (pow.f64 (+.f64 83333333333333/1000000000000000 (.f64 (-.f64 (.f64 z (+.f64 7936500793651/10000000000000000 y)) 13888888888889/5000000000000000) z)) 3) (pow.f64 x 3))
(/.f64 (pow.f64 (+.f64 83333333333333/1000000000000000 (*.f64 z (fma.f64 z (+.f64 y 7936500793651/10000000000000000) -13888888888889/5000000000000000))) 3) (pow.f64 x 3))
(/.f64 (pow.f64 (fma.f64 z (fma.f64 z (+.f64 y 7936500793651/10000000000000000) -13888888888889/5000000000000000) 83333333333333/1000000000000000) 3) (pow.f64 x 3))
(/.f64 (pow.f64 (+.f64 83333333333333/1000000000000000 (.f64 (-.f64 (.f64 z (+.f64 7936500793651/10000000000000000 y)) 13888888888889/5000000000000000) z)) 3) (pow.f64 x 3))
(/.f64 (pow.f64 (+.f64 83333333333333/1000000000000000 (*.f64 z (fma.f64 z (+.f64 y 7936500793651/10000000000000000) -13888888888889/5000000000000000))) 3) (pow.f64 x 3))
(/.f64 (pow.f64 (fma.f64 z (fma.f64 z (+.f64 y 7936500793651/10000000000000000) -13888888888889/5000000000000000) 83333333333333/1000000000000000) 3) (pow.f64 x 3))
(/.f64 (pow.f64 (+.f64 83333333333333/1000000000000000 (.f64 (-.f64 (.f64 z (+.f64 7936500793651/10000000000000000 y)) 13888888888889/5000000000000000) z)) 3) (pow.f64 x 3))
(/.f64 (pow.f64 (+.f64 83333333333333/1000000000000000 (*.f64 z (fma.f64 z (+.f64 y 7936500793651/10000000000000000) -13888888888889/5000000000000000))) 3) (pow.f64 x 3))
(/.f64 (pow.f64 (fma.f64 z (fma.f64 z (+.f64 y 7936500793651/10000000000000000) -13888888888889/5000000000000000) 83333333333333/1000000000000000) 3) (pow.f64 x 3))
(/.f64 (pow.f64 (+.f64 83333333333333/1000000000000000 (.f64 (-.f64 (.f64 z (+.f64 7936500793651/10000000000000000 y)) 13888888888889/5000000000000000) z)) 3) (pow.f64 x 3))
(/.f64 (pow.f64 (+.f64 83333333333333/1000000000000000 (*.f64 z (fma.f64 z (+.f64 y 7936500793651/10000000000000000) -13888888888889/5000000000000000))) 3) (pow.f64 x 3))
(/.f64 (pow.f64 (fma.f64 z (fma.f64 z (+.f64 y 7936500793651/10000000000000000) -13888888888889/5000000000000000) 83333333333333/1000000000000000) 3) (pow.f64 x 3))
(/.f64 (pow.f64 (+.f64 83333333333333/1000000000000000 (.f64 (-.f64 (.f64 z (+.f64 7936500793651/10000000000000000 y)) 13888888888889/5000000000000000) z)) 3) (pow.f64 x 3))
(/.f64 (pow.f64 (+.f64 83333333333333/1000000000000000 (*.f64 z (fma.f64 z (+.f64 y 7936500793651/10000000000000000) -13888888888889/5000000000000000))) 3) (pow.f64 x 3))
(/.f64 (pow.f64 (fma.f64 z (fma.f64 z (+.f64 y 7936500793651/10000000000000000) -13888888888889/5000000000000000) 83333333333333/1000000000000000) 3) (pow.f64 x 3))
(/.f64 (pow.f64 (+.f64 83333333333333/1000000000000000 (.f64 (-.f64 (.f64 z (+.f64 7936500793651/10000000000000000 y)) 13888888888889/5000000000000000) z)) 3) (pow.f64 x 3))
(/.f64 (pow.f64 (+.f64 83333333333333/1000000000000000 (*.f64 z (fma.f64 z (+.f64 y 7936500793651/10000000000000000) -13888888888889/5000000000000000))) 3) (pow.f64 x 3))
(/.f64 (pow.f64 (fma.f64 z (fma.f64 z (+.f64 y 7936500793651/10000000000000000) -13888888888889/5000000000000000) 83333333333333/1000000000000000) 3) (pow.f64 x 3))

eval1.0s (6.4%)

Compiler: Compiled 36751 to 23861 computations (35.1% saved)

prune346.0ms (2.1%)

Pruning

36 alts after pruning (36 fresh and 0 done)

	Pruned	Kept	Total
New	1144	34	1178
Fresh	25	2	27
Picked	1	0	1
Done	4	0	4
Total	1174	36	1210

Error

0.0b

Counts

1210 → 36

Alt Table

Click to see full alt table

Status	Error	Program
	28.4b	(+.f64 (+.f64 (-.f64 91893853320467/100000000000000 x) (.f64 (log.f64 x) (+.f64 -1/2 x))) (/.f64 (.f64 z (*.f64 z y)) x))
	5.3b	(+.f64 (+.f64 (-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (/.f64 1 (/.f64 x (fma.f64 z (fma.f64 z (+.f64 y 7936500793651/10000000000000000) -13888888888889/5000000000000000) 83333333333333/1000000000000000))))
	31.1b	(+.f64 (+.f64 (-.f64 (/.f64 (*.f64 (log.f64 x) (fma.f64 x x -1/4)) (+.f64 x 1/2)) x) 91893853320467/100000000000000) (/.f64 83333333333333/1000000000000000 x))
	35.1b	(+.f64 (+.f64 (cbrt.f64 (pow.f64 (-.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) x) 3)) 91893853320467/100000000000000) (/.f64 83333333333333/1000000000000000 x))
	42.4b	(+.f64 (+.f64 91893853320467/100000000000000 (*.f64 -1/2 (log.f64 x))) (/.f64 83333333333333/1000000000000000 x))
	26.3b	(+.f64 (+.f64 (-.f64 (.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (.f64 (/.f64 z (/.f64 x z)) y))
▶	26.3b	(+.f64 (+.f64 (-.f64 (.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (.f64 y (*.f64 z (/.f64 z x))))
	21.2b	(+.f64 (+.f64 (-.f64 91893853320467/100000000000000 x) (.f64 (log.f64 x) (+.f64 -1/2 x))) (.f64 z (*.f64 (/.f64 z x) (+.f64 y 7936500793651/10000000000000000))))
	11.5b	(+.f64 (+.f64 (-.f64 91893853320467/100000000000000 x) (*.f64 (log.f64 x) (+.f64 -1/2 x))) (/.f64 83333333333333/1000000000000000 x))
	11.5b	(+.f64 (+.f64 (*.f64 x (+.f64 -1 (log.f64 x))) 91893853320467/100000000000000) (/.f64 83333333333333/1000000000000000 x))
	12.0b	(+.f64 (+.f64 (-.f64 (pow.f64 (cbrt.f64 (*.f64 (+.f64 x -1/2) (log.f64 x))) 3) x) 91893853320467/100000000000000) (/.f64 83333333333333/1000000000000000 x))
	22.3b	(+.f64 (+.f64 (-.f64 (.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (.f64 (cbrt.f64 (/.f64 83333333333333/1000000000000000 x)) (cbrt.f64 (/.f64 6944444444444388888888888889/1000000000000000000000000000000 (*.f64 x x)))))
▶	11.6b	(+.f64 (+.f64 (-.f64 (pow.f64 (sqrt.f64 (*.f64 (+.f64 x -1/2) (log.f64 x))) 2) x) 91893853320467/100000000000000) (/.f64 83333333333333/1000000000000000 x))
	11.4b	(+.f64 (+.f64 (-.f64 91893853320467/100000000000000 x) (.f64 (log.f64 x) (+.f64 -1/2 x))) (/.f64 (+.f64 83333333333333/1000000000000000 (.f64 -13888888888889/5000000000000000 z)) x))
	34.0b	(+.f64 (+.f64 (.f64 -1/2 (log.f64 x)) 91893853320467/100000000000000) (/.f64 (+.f64 (+.f64 (.f64 (.f64 (+.f64 y 7936500793651/10000000000000000) z) z) (.f64 -13888888888889/5000000000000000 z)) 83333333333333/1000000000000000) x))
	11.4b	(+.f64 (+.f64 (-.f64 (.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (+.f64 (/.f64 83333333333333/1000000000000000 x) (.f64 -13888888888889/5000000000000000 (/.f64 z x))))
	34.0b	(+.f64 (+.f64 (.f64 -1/2 (log.f64 x)) 91893853320467/100000000000000) (/.f64 (+.f64 (.f64 (-.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000) x))
	9.5b	(+.f64 (+.f64 (-.f64 (.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (+.f64 (/.f64 83333333333333/1000000000000000 x) (/.f64 (.f64 (-.f64 (*.f64 7936500793651/10000000000000000 z) 13888888888889/5000000000000000) z) x)))
	22.1b	(+.f64 (+.f64 (-.f64 91893853320467/100000000000000 x) (*.f64 (log.f64 x) (+.f64 -1/2 x))) (/.f64 (log.f64 (exp.f64 (fma.f64 z (fma.f64 z (+.f64 y 7936500793651/10000000000000000) -13888888888889/5000000000000000) 83333333333333/1000000000000000))) x))
	9.5b	(+.f64 (+.f64 (-.f64 91893853320467/100000000000000 x) (.f64 (log.f64 x) (+.f64 -1/2 x))) (/.f64 (+.f64 83333333333333/1000000000000000 (.f64 (-.f64 (*.f64 7936500793651/10000000000000000 z) 13888888888889/5000000000000000) z)) x))
	11.5b	(+.f64 (+.f64 (-.f64 (.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (.f64 -83333333333333/1000000000000000 (/.f64 1 (neg.f64 x))))
	10.5b	(+.f64 (+.f64 (-.f64 (.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (.f64 (/.f64 (sqrt.f64 (fma.f64 z (fma.f64 z (+.f64 y 7936500793651/10000000000000000) -13888888888889/5000000000000000) 83333333333333/1000000000000000)) 1) (/.f64 (sqrt.f64 (fma.f64 z (fma.f64 z (+.f64 y 7936500793651/10000000000000000) -13888888888889/5000000000000000) 83333333333333/1000000000000000)) x)))
	26.6b	(+.f64 (+.f64 (-.f64 (.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (.f64 (*.f64 y (/.f64 z x)) z))
	27.0b	(+.f64 (+.f64 (-.f64 91893853320467/100000000000000 x) (.f64 (log.f64 x) (+.f64 -1/2 x))) (.f64 z (*.f64 z (/.f64 y x))))
	11.9b	(+.f64 (+.f64 (pow.f64 (cbrt.f64 (-.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) x)) 3) 91893853320467/100000000000000) (/.f64 83333333333333/1000000000000000 x))
	11.8b	(+.f64 (+.f64 (-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (pow.f64 (cbrt.f64 (/.f64 83333333333333/1000000000000000 x)) 3))
	32.8b	(+.f64 (fma.f64 (*.f64 (log.f64 x) (sqrt.f64 (+.f64 x -1/2))) (sqrt.f64 (+.f64 x -1/2)) (neg.f64 (+.f64 x -91893853320467/100000000000000))) (/.f64 83333333333333/1000000000000000 x))
▶	11.5b	(+.f64 (-.f64 (*.f64 x (log.f64 x)) x) (/.f64 83333333333333/1000000000000000 x))
	11.6b	(+.f64 (+.f64 (pow.f64 (sqrt.f64 (-.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) x)) 2) 91893853320467/100000000000000) (/.f64 83333333333333/1000000000000000 x))
	11.6b	(+.f64 (+.f64 (-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (pow.f64 (sqrt.f64 (/.f64 83333333333333/1000000000000000 x)) 2))
▶	9.5b	(+.f64 (+.f64 (-.f64 (.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (/.f64 (+.f64 (+.f64 (.f64 7936500793651/10000000000000000 (.f64 z z)) (.f64 -13888888888889/5000000000000000 z)) 83333333333333/1000000000000000) x))
	11.5b	(+.f64 (+.f64 (-.f64 (.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (pow.f64 (.f64 x 1000000000000000/83333333333333) -1))
	11.9b	(+.f64 (fma.f64 (pow.f64 (cbrt.f64 (+.f64 x -1/2)) 2) (*.f64 (cbrt.f64 (+.f64 x -1/2)) (log.f64 x)) (neg.f64 (+.f64 x -91893853320467/100000000000000))) (/.f64 83333333333333/1000000000000000 x))
	25.9b	(+.f64 (+.f64 (-.f64 (.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (cbrt.f64 (pow.f64 (/.f64 (+.f64 83333333333333/1000000000000000 (.f64 (-.f64 (*.f64 7936500793651/10000000000000000 z) 13888888888889/5000000000000000) z)) x) 3)))
	32.8b	(+.f64 (fma.f64 (*.f64 (+.f64 x -1/2) (sqrt.f64 (log.f64 x))) (sqrt.f64 (log.f64 x)) (neg.f64 (+.f64 x -91893853320467/100000000000000))) (/.f64 83333333333333/1000000000000000 x))
▶	0.3b	(+.f64 (+.f64 (-.f64 (.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (+.f64 (/.f64 83333333333333/1000000000000000 x) (+.f64 (.f64 (/.f64 z x) (.f64 z (+.f64 7936500793651/10000000000000000 y))) (.f64 (/.f64 z x) -13888888888889/5000000000000000))))

Compiler

Compiled 1614 to 1208 computations (25.2% saved)

localize19.0ms (0.1%)

Local error

Found 8 expressions with local error:

New	Error	Program
	0.0b	(+.f64 (.f64 (/.f64 z x) (.f64 z (+.f64 7936500793651/10000000000000000 y))) (*.f64 (/.f64 z x) -13888888888889/5000000000000000))
	0.0b	(+.f64 (/.f64 83333333333333/1000000000000000 x) (+.f64 (.f64 (/.f64 z x) (.f64 z (+.f64 7936500793651/10000000000000000 y))) (*.f64 (/.f64 z x) -13888888888889/5000000000000000)))
	0.0b	(+.f64 7936500793651/10000000000000000 y)
	0.0b	(+.f64 (+.f64 (-.f64 (.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (+.f64 (/.f64 83333333333333/1000000000000000 x) (+.f64 (.f64 (/.f64 z x) (.f64 z (+.f64 7936500793651/10000000000000000 y))) (.f64 (/.f64 z x) -13888888888889/5000000000000000))))
	0.2b	(-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x)
✓	0.2b	(*.f64 (/.f64 z x) -13888888888889/5000000000000000)
	0.3b	(/.f64 83333333333333/1000000000000000 x)
✓	1.3b	(.f64 (/.f64 z x) (.f64 z (+.f64 7936500793651/10000000000000000 y)))

series8.0ms (0%)

Counts

2 → 60

Calls

15 calls:

Time	Variable		Point	Expression
1.0ms	z	@	0	(*.f64 (/.f64 z x) -13888888888889/5000000000000000)
1.0ms	x	@	inf	(.f64 (/.f64 z x) (.f64 z (+.f64 7936500793651/10000000000000000 y)))
1.0ms	z	@	0	(.f64 (/.f64 z x) (.f64 z (+.f64 7936500793651/10000000000000000 y)))
1.0ms	x	@	0	(*.f64 (/.f64 z x) -13888888888889/5000000000000000)
1.0ms	z	@	inf	(.f64 (/.f64 z x) (.f64 z (+.f64 7936500793651/10000000000000000 y)))

rewrite151.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

644×	`log-prod_binary64`
433×	`pow-prod-down_binary64`
326×	`pow2_binary64`
243×	`pow-unpow_binary64`
231×	`pow1/3_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	20
1	248	20
2	3430	20

Stop Event

1×	node limit

Counts

2 → 70

Calls

Call 1

Inputs
(.f64 (/.f64 z x) (.f64 z (+.f64 7936500793651/10000000000000000 y)))
(*.f64 (/.f64 z x) -13888888888889/5000000000000000)

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (+.f64 7936500793651/10000000000000000 y) (*.f64 z (/.f64 z x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 z 7936500793651/10000000000000000) (/.f64 z x)) (*.f64 (*.f64 z y) (/.f64 z x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 7936500793651/10000000000000000 (*.f64 z (/.f64 z x))) (*.f64 y (*.f64 z (/.f64 z x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 y (*.f64 z (/.f64 z x))) (*.f64 7936500793651/10000000000000000 (*.f64 z (/.f64 z x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 z x) (*.f64 z 7936500793651/10000000000000000)) (*.f64 (/.f64 z x) (*.f64 z y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 z (/.f64 z x)) 7936500793651/10000000000000000) (*.f64 (*.f64 z (/.f64 z x)) y))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 z (/.f64 z x)) y) (*.f64 (*.f64 z (/.f64 z x)) 7936500793651/10000000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 z) (*.f64 (+.f64 7936500793651/10000000000000000 y) (/.f64 z x)))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 z) (*.f64 (+.f64 7936500793651/10000000000000000 y) (/.f64 z x))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 z) (*.f64 (+.f64 7936500793651/10000000000000000 y) (/.f64 z x))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 z) (*.f64 (+.f64 7936500793651/10000000000000000 y) (/.f64 z x))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (+.f64 7936500793651/10000000000000000 y) (*.f64 z (/.f64 z x))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 z (/.f64 x (*.f64 z (+.f64 7936500793651/10000000000000000 y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 z (+.f64 7936500793651/10000000000000000 y)) (/.f64 x z))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 x (*.f64 (*.f64 z z) (+.f64 7936500793651/10000000000000000 y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 z z) (+.f64 7936500793651/10000000000000000 y)) x)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 (*.f64 z z) (+.f64 7936500793651/10000000000000000 y))) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (*.f64 z z) (+.f64 7936500793651/10000000000000000 y)) 1) x)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (*.f64 z z) (+.f64 7936500793651/10000000000000000 y)) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (*.f64 z z) (+.f64 7936500793651/10000000000000000 y)) (sqrt.f64 x)) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 z) (*.f64 z (+.f64 7936500793651/10000000000000000 y))) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 z (+.f64 7936500793651/10000000000000000 y)) (neg.f64 z)) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 z (/.f64 z x)) (+.f64 499904667923684346908081313317095473451/1000000000000000000000000000000000000000000000000 (pow.f64 y 3))) (fma.f64 y (-.f64 y 7936500793651/10000000000000000) 62988044847622952881909801/100000000000000000000000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 z (/.f64 z x)) (-.f64 62988044847622952881909801/100000000000000000000000000000000 (*.f64 y y))) (-.f64 7936500793651/10000000000000000 y))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (+.f64 7936500793651/10000000000000000 y) (*.f64 z (/.f64 z x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (+.f64 7936500793651/10000000000000000 y) (*.f64 z (/.f64 z x))) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (+.f64 7936500793651/10000000000000000 y) (*.f64 z (/.f64 z x))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (+.f64 7936500793651/10000000000000000 y) (*.f64 z (/.f64 z x)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (+.f64 7936500793651/10000000000000000 y) (*.f64 z (/.f64 z x)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 x (*.f64 (*.f64 z z) (+.f64 7936500793651/10000000000000000 y))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (+.f64 7936500793651/10000000000000000 y) (*.f64 z (/.f64 z x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 z) (*.f64 (+.f64 7936500793651/10000000000000000 y) (/.f64 z x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (+.f64 7936500793651/10000000000000000 y) (*.f64 z (/.f64 z x))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (+.f64 7936500793651/10000000000000000 y) (*.f64 z (/.f64 z x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (+.f64 7936500793651/10000000000000000 y) (*.f64 z (/.f64 z x)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 z x) (*.f64 z 7936500793651/10000000000000000) (*.f64 (/.f64 z x) (*.f64 z y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 7936500793651/10000000000000000 (*.f64 z (/.f64 z x)) (*.f64 y (*.f64 z (/.f64 z x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 y (*.f64 z (/.f64 z x)) (*.f64 7936500793651/10000000000000000 (*.f64 z (/.f64 z x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 z 7936500793651/10000000000000000) (/.f64 z x) (*.f64 (*.f64 z y) (/.f64 z x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 z (/.f64 z x)) 7936500793651/10000000000000000 (*.f64 (*.f64 z (/.f64 z x)) y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 z (/.f64 z x)) y (*.f64 (*.f64 z (/.f64 z x)) 7936500793651/10000000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (+.f64 7936500793651/10000000000000000 y) (*.f64 z (/.f64 z x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (+.f64 7936500793651/10000000000000000 y) (*.f64 z (/.f64 z x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (+.f64 7936500793651/10000000000000000 y) (*.f64 z (/.f64 z x)))) 1))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (/.f64 z x) -13888888888889/5000000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (/.f64 z x)) -13888888888889/5000000000000000)) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (/.f64 z x)) -13888888888889/5000000000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (/.f64 z x)) -13888888888889/5000000000000000))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (/.f64 z x)) -13888888888889/5000000000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 z x) -13888888888889/5000000000000000))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 z (/.f64 x -13888888888889/5000000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -13888888888889/5000000000000000 (/.f64 x z))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 x (*.f64 z -13888888888889/5000000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 z -13888888888889/5000000000000000) x)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 z -13888888888889/5000000000000000)) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 z -13888888888889/5000000000000000) 1) x)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 z -13888888888889/5000000000000000) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 z -13888888888889/5000000000000000) (sqrt.f64 x)) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 z) -13888888888889/5000000000000000) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -13888888888889/5000000000000000 (neg.f64 z)) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 z x) -13888888888889/5000000000000000) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 192901234567904320987654321/25000000000000000000000000000000 (pow.f64 (/.f64 x z) -2)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (/.f64 z x) -13888888888889/5000000000000000) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (/.f64 z x) -13888888888889/5000000000000000)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (/.f64 z x) -13888888888889/5000000000000000)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 x (*.f64 z -13888888888889/5000000000000000)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 192901234567904320987654321/25000000000000000000000000000000 (pow.f64 (/.f64 x z) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (/.f64 z x)) -13888888888889/5000000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (/.f64 z x) -13888888888889/5000000000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (/.f64 z x) -13888888888889/5000000000000000) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (/.f64 z x) -13888888888889/5000000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (/.f64 z x) -13888888888889/5000000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (/.f64 z x) -13888888888889/5000000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 z x) -13888888888889/5000000000000000)) 1))))))

simplify107.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

734×	`distribute-rgt-out_binary64`
697×	`fma-def_binary64`
614×	`associate-/r/_binary64`
508×	`distribute-lft-in_binary64`
347×	`associate-/l/_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	627
1	41	627
2	82	627
3	198	627
4	583	627
5	2144	627
6	4387	627
7	5931	627
8	7323	627
9	7474	627
10	7652	627
11	7903	627

Stop Event

1×	node limit

Counts

130 → 79

Calls

Call 1

Inputs
(/.f64 (*.f64 (pow.f64 z 2) (+.f64 7936500793651/10000000000000000 y)) x)
(/.f64 (*.f64 (pow.f64 z 2) (+.f64 7936500793651/10000000000000000 y)) x)
(/.f64 (*.f64 (pow.f64 z 2) (+.f64 7936500793651/10000000000000000 y)) x)
(/.f64 (*.f64 (pow.f64 z 2) (+.f64 7936500793651/10000000000000000 y)) x)
(/.f64 (*.f64 (pow.f64 z 2) (+.f64 7936500793651/10000000000000000 y)) x)
(/.f64 (*.f64 (pow.f64 z 2) (+.f64 7936500793651/10000000000000000 y)) x)
(/.f64 (*.f64 (pow.f64 z 2) (+.f64 7936500793651/10000000000000000 y)) x)
(/.f64 (*.f64 (pow.f64 z 2) (+.f64 7936500793651/10000000000000000 y)) x)
(/.f64 (*.f64 (pow.f64 z 2) (+.f64 7936500793651/10000000000000000 y)) x)
(/.f64 (*.f64 (pow.f64 z 2) (+.f64 7936500793651/10000000000000000 y)) x)
(/.f64 (*.f64 (pow.f64 z 2) (+.f64 7936500793651/10000000000000000 y)) x)
(/.f64 (*.f64 (pow.f64 z 2) (+.f64 7936500793651/10000000000000000 y)) x)
(/.f64 (*.f64 (pow.f64 z 2) (+.f64 7936500793651/10000000000000000 y)) x)
(/.f64 (*.f64 (pow.f64 z 2) (+.f64 7936500793651/10000000000000000 y)) x)
(/.f64 (*.f64 (pow.f64 z 2) (+.f64 7936500793651/10000000000000000 y)) x)
(/.f64 (*.f64 (pow.f64 z 2) (+.f64 7936500793651/10000000000000000 y)) x)
(/.f64 (*.f64 (pow.f64 z 2) (+.f64 7936500793651/10000000000000000 y)) x)
(/.f64 (*.f64 (pow.f64 z 2) (+.f64 7936500793651/10000000000000000 y)) x)
(/.f64 (*.f64 (pow.f64 z 2) (+.f64 7936500793651/10000000000000000 y)) x)
(/.f64 (*.f64 (pow.f64 z 2) (+.f64 7936500793651/10000000000000000 y)) x)
(/.f64 (*.f64 (pow.f64 z 2) (+.f64 7936500793651/10000000000000000 y)) x)
(/.f64 (*.f64 (pow.f64 z 2) (+.f64 7936500793651/10000000000000000 y)) x)
(/.f64 (*.f64 (pow.f64 z 2) (+.f64 7936500793651/10000000000000000 y)) x)
(/.f64 (*.f64 (pow.f64 z 2) (+.f64 7936500793651/10000000000000000 y)) x)
(*.f64 7936500793651/10000000000000000 (/.f64 (pow.f64 z 2) x))
(+.f64 (/.f64 (.f64 y (pow.f64 z 2)) x) (.f64 7936500793651/10000000000000000 (/.f64 (pow.f64 z 2) x)))
(+.f64 (/.f64 (.f64 y (pow.f64 z 2)) x) (.f64 7936500793651/10000000000000000 (/.f64 (pow.f64 z 2) x)))
(+.f64 (/.f64 (.f64 y (pow.f64 z 2)) x) (.f64 7936500793651/10000000000000000 (/.f64 (pow.f64 z 2) x)))
(/.f64 (*.f64 y (pow.f64 z 2)) x)
(+.f64 (/.f64 (.f64 y (pow.f64 z 2)) x) (.f64 7936500793651/10000000000000000 (/.f64 (pow.f64 z 2) x)))
(+.f64 (/.f64 (.f64 y (pow.f64 z 2)) x) (.f64 7936500793651/10000000000000000 (/.f64 (pow.f64 z 2) x)))
(+.f64 (/.f64 (.f64 y (pow.f64 z 2)) x) (.f64 7936500793651/10000000000000000 (/.f64 (pow.f64 z 2) x)))
(/.f64 (*.f64 y (pow.f64 z 2)) x)
(+.f64 (/.f64 (.f64 y (pow.f64 z 2)) x) (.f64 7936500793651/10000000000000000 (/.f64 (pow.f64 z 2) x)))
(+.f64 (/.f64 (.f64 y (pow.f64 z 2)) x) (.f64 7936500793651/10000000000000000 (/.f64 (pow.f64 z 2) x)))
(+.f64 (/.f64 (.f64 y (pow.f64 z 2)) x) (.f64 7936500793651/10000000000000000 (/.f64 (pow.f64 z 2) x)))
(*.f64 -13888888888889/5000000000000000 (/.f64 z x))
(*.f64 -13888888888889/5000000000000000 (/.f64 z x))
(*.f64 -13888888888889/5000000000000000 (/.f64 z x))
(*.f64 -13888888888889/5000000000000000 (/.f64 z x))
(*.f64 -13888888888889/5000000000000000 (/.f64 z x))
(*.f64 -13888888888889/5000000000000000 (/.f64 z x))
(*.f64 -13888888888889/5000000000000000 (/.f64 z x))
(*.f64 -13888888888889/5000000000000000 (/.f64 z x))
(*.f64 -13888888888889/5000000000000000 (/.f64 z x))
(*.f64 -13888888888889/5000000000000000 (/.f64 z x))
(*.f64 -13888888888889/5000000000000000 (/.f64 z x))
(*.f64 -13888888888889/5000000000000000 (/.f64 z x))
(*.f64 -13888888888889/5000000000000000 (/.f64 z x))
(*.f64 -13888888888889/5000000000000000 (/.f64 z x))
(*.f64 -13888888888889/5000000000000000 (/.f64 z x))
(*.f64 -13888888888889/5000000000000000 (/.f64 z x))
(*.f64 -13888888888889/5000000000000000 (/.f64 z x))
(*.f64 -13888888888889/5000000000000000 (/.f64 z x))
(*.f64 -13888888888889/5000000000000000 (/.f64 z x))
(*.f64 -13888888888889/5000000000000000 (/.f64 z x))
(*.f64 -13888888888889/5000000000000000 (/.f64 z x))
(*.f64 -13888888888889/5000000000000000 (/.f64 z x))
(*.f64 -13888888888889/5000000000000000 (/.f64 z x))
(*.f64 -13888888888889/5000000000000000 (/.f64 z x))

Outputs
(/.f64 (*.f64 (pow.f64 z 2) (+.f64 7936500793651/10000000000000000 y)) x)
(/.f64 (*.f64 z z) (/.f64 x (+.f64 7936500793651/10000000000000000 y)))
(*.f64 (/.f64 z (/.f64 x z)) (+.f64 7936500793651/10000000000000000 y))
(.f64 (+.f64 7936500793651/10000000000000000 y) (.f64 (/.f64 z x) z))
(.f64 z (.f64 (/.f64 z x) (+.f64 7936500793651/10000000000000000 y)))
(.f64 (.f64 z z) (/.f64 (+.f64 7936500793651/10000000000000000 y) x))
(.f64 z (.f64 z (/.f64 (+.f64 7936500793651/10000000000000000 y) x)))
(/.f64 (*.f64 (pow.f64 z 2) (+.f64 7936500793651/10000000000000000 y)) x)
(/.f64 (*.f64 z z) (/.f64 x (+.f64 7936500793651/10000000000000000 y)))
(*.f64 (/.f64 z (/.f64 x z)) (+.f64 7936500793651/10000000000000000 y))
(.f64 (+.f64 7936500793651/10000000000000000 y) (.f64 (/.f64 z x) z))
(.f64 z (.f64 (/.f64 z x) (+.f64 7936500793651/10000000000000000 y)))
(.f64 (.f64 z z) (/.f64 (+.f64 7936500793651/10000000000000000 y) x))
(.f64 z (.f64 z (/.f64 (+.f64 7936500793651/10000000000000000 y) x)))
(/.f64 (*.f64 (pow.f64 z 2) (+.f64 7936500793651/10000000000000000 y)) x)
(/.f64 (*.f64 z z) (/.f64 x (+.f64 7936500793651/10000000000000000 y)))
(*.f64 (/.f64 z (/.f64 x z)) (+.f64 7936500793651/10000000000000000 y))
(.f64 (+.f64 7936500793651/10000000000000000 y) (.f64 (/.f64 z x) z))
(.f64 z (.f64 (/.f64 z x) (+.f64 7936500793651/10000000000000000 y)))
(.f64 (.f64 z z) (/.f64 (+.f64 7936500793651/10000000000000000 y) x))
(.f64 z (.f64 z (/.f64 (+.f64 7936500793651/10000000000000000 y) x)))
(/.f64 (*.f64 (pow.f64 z 2) (+.f64 7936500793651/10000000000000000 y)) x)
(/.f64 (*.f64 z z) (/.f64 x (+.f64 7936500793651/10000000000000000 y)))
(*.f64 (/.f64 z (/.f64 x z)) (+.f64 7936500793651/10000000000000000 y))
(.f64 (+.f64 7936500793651/10000000000000000 y) (.f64 (/.f64 z x) z))
(.f64 z (.f64 (/.f64 z x) (+.f64 7936500793651/10000000000000000 y)))
(.f64 (.f64 z z) (/.f64 (+.f64 7936500793651/10000000000000000 y) x))
(.f64 z (.f64 z (/.f64 (+.f64 7936500793651/10000000000000000 y) x)))
(/.f64 (*.f64 (pow.f64 z 2) (+.f64 7936500793651/10000000000000000 y)) x)
(/.f64 (*.f64 z z) (/.f64 x (+.f64 7936500793651/10000000000000000 y)))
(*.f64 (/.f64 z (/.f64 x z)) (+.f64 7936500793651/10000000000000000 y))
(.f64 (+.f64 7936500793651/10000000000000000 y) (.f64 (/.f64 z x) z))
(.f64 z (.f64 (/.f64 z x) (+.f64 7936500793651/10000000000000000 y)))
(.f64 (.f64 z z) (/.f64 (+.f64 7936500793651/10000000000000000 y) x))
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(/.f64 -13888888888889/5000000000000000 (/.f64 x z))
(*.f64 z (/.f64 -13888888888889/5000000000000000 x))
(*.f64 -13888888888889/5000000000000000 (/.f64 z x))
(/.f64 -13888888888889/5000000000000000 (/.f64 x z))
(*.f64 z (/.f64 -13888888888889/5000000000000000 x))
(*.f64 -13888888888889/5000000000000000 (/.f64 z x))
(/.f64 -13888888888889/5000000000000000 (/.f64 x z))
(*.f64 z (/.f64 -13888888888889/5000000000000000 x))
(*.f64 -13888888888889/5000000000000000 (/.f64 z x))
(/.f64 -13888888888889/5000000000000000 (/.f64 x z))
(*.f64 z (/.f64 -13888888888889/5000000000000000 x))
(*.f64 -13888888888889/5000000000000000 (/.f64 z x))
(/.f64 -13888888888889/5000000000000000 (/.f64 x z))
(*.f64 z (/.f64 -13888888888889/5000000000000000 x))
(*.f64 -13888888888889/5000000000000000 (/.f64 z x))
(/.f64 -13888888888889/5000000000000000 (/.f64 x z))
(*.f64 z (/.f64 -13888888888889/5000000000000000 x))
(*.f64 -13888888888889/5000000000000000 (/.f64 z x))
(/.f64 -13888888888889/5000000000000000 (/.f64 x z))
(*.f64 z (/.f64 -13888888888889/5000000000000000 x))

localize7.0ms (0%)

Local error

Found 8 expressions with local error:

New	Error	Program
	0.3b	(/.f64 83333333333333/1000000000000000 x)
	0.3b	(-.f64 (*.f64 x (log.f64 x)) x)
	0.3b	(*.f64 x (log.f64 x))
	0.0b	(+.f64 (-.f64 (*.f64 x (log.f64 x)) x) (/.f64 83333333333333/1000000000000000 x))
✓	0.0b	(+.f64 (-.f64 (*.f64 x (log.f64 x)) x) (/.f64 83333333333333/1000000000000000 x))
✓	0.3b	(*.f64 x (log.f64 x))
✓	0.3b	(-.f64 (*.f64 x (log.f64 x)) x)
	0.3b	(/.f64 83333333333333/1000000000000000 x)

series72.0ms (0.4%)

Counts

3 → 36

Calls

9 calls:

Time	Variable		Point	Expression
33.0ms	x	@	0	(-.f64 (*.f64 x (log.f64 x)) x)
31.0ms	x	@	-inf	(-.f64 (*.f64 x (log.f64 x)) x)
6.0ms	x	@	inf	(-.f64 (*.f64 x (log.f64 x)) x)
0.0ms	x	@	0	(+.f64 (-.f64 (*.f64 x (log.f64 x)) x) (/.f64 83333333333333/1000000000000000 x))
0.0ms	x	@	inf	(+.f64 (-.f64 (*.f64 x (log.f64 x)) x) (/.f64 83333333333333/1000000000000000 x))

rewrite80.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

588×	`fma-def_binary64`
451×	`log-prod_binary64`
334×	`pow-prod-down_binary64`
319×	`fma-neg_binary64`
252×	`pow2_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	8	30
1	188	30
2	2882	28

Stop Event

1×	node limit

Counts

3 → 245

Calls

Call 1

Inputs
(-.f64 (*.f64 x (log.f64 x)) x)
(*.f64 x (log.f64 x))
(+.f64 (-.f64 (*.f64 x (log.f64 x)) x) (/.f64 83333333333333/1000000000000000 x))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 x x)) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 x x)) (*.f64 (neg.f64 x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (log.f64 (pow.f64 x x)) x) (fma.f64 (neg.f64 x) 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (log.f64 (pow.f64 x x)) x) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (log.f64 (pow.f64 x x)) x) (+.f64 (neg.f64 x) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 x) (log.f64 (pow.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (-.f64 (log.f64 (pow.f64 x x)) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (/.f64 (pow.f64 x x) (exp.f64 x))) 2)) (log.f64 (cbrt.f64 (/.f64 (pow.f64 x x) (exp.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (/.f64 (pow.f64 x x) (exp.f64 x)))) (log.f64 (sqrt.f64 (/.f64 (pow.f64 x x) (exp.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (-.f64 (log.f64 x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (log.f64 (pow.f64 x x)) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (-.f64 (log.f64 (pow.f64 x x)) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (-.f64 (log.f64 (pow.f64 x x)) x)) (pow.f64 (cbrt.f64 (-.f64 (log.f64 (pow.f64 x x)) x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (-.f64 (log.f64 (pow.f64 x x)) x)) 2) (cbrt.f64 (-.f64 (log.f64 (pow.f64 x x)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 (log.f64 (pow.f64 x x)) x)) (sqrt.f64 (-.f64 (log.f64 (pow.f64 x x)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (log.f64 (pow.f64 x x)) 3) (pow.f64 x 3)) (/.f64 1 (fma.f64 x (fma.f64 x (log.f64 x) x) (pow.f64 (log.f64 (pow.f64 x x)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (log.f64 (pow.f64 x x)) 2) (*.f64 x x)) (/.f64 1 (fma.f64 x (log.f64 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (sqrt.f64 (log.f64 (pow.f64 x x))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (log.f64 (pow.f64 x x))) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 x (fma.f64 x (log.f64 x) x) (pow.f64 (log.f64 (pow.f64 x x)) 2)) (-.f64 (pow.f64 (log.f64 (pow.f64 x x)) 3) (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 x (log.f64 x) x) (-.f64 (pow.f64 (log.f64 (pow.f64 x x)) 2) (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (log.f64 (pow.f64 x x)) 3) (pow.f64 x 3)) (fma.f64 x (fma.f64 x (log.f64 x) x) (pow.f64 (log.f64 (pow.f64 x x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (log.f64 (pow.f64 x x)) 2) (*.f64 x x)) (fma.f64 x (log.f64 x) x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 (log.f64 (pow.f64 x x)) 3) (pow.f64 x 3))) (neg.f64 (fma.f64 x (fma.f64 x (log.f64 x) x) (pow.f64 (log.f64 (pow.f64 x x)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 (log.f64 (pow.f64 x x)) 2) (*.f64 x x))) (neg.f64 (fma.f64 x (log.f64 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (log.f64 (pow.f64 x x)) 3) (pow.f64 (neg.f64 x) 3)) (+.f64 (pow.f64 (log.f64 (pow.f64 x x)) 2) (-.f64 (pow.f64 (neg.f64 x) 2) (*.f64 (log.f64 (pow.f64 x x)) (neg.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (log.f64 (pow.f64 x x)) 2) (pow.f64 (neg.f64 x) 2)) (-.f64 (log.f64 (pow.f64 x x)) (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 (log.f64 (pow.f64 x x)) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 (log.f64 (pow.f64 x x)) x) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (-.f64 (log.f64 (pow.f64 x x)) x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (-.f64 (log.f64 (pow.f64 x x)) x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 (log.f64 (pow.f64 x x)) x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 x (fma.f64 x (log.f64 x) x) (pow.f64 (log.f64 (pow.f64 x x)) 2)) (-.f64 (pow.f64 (log.f64 (pow.f64 x x)) 3) (pow.f64 x 3))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 x (log.f64 x) x) (-.f64 (pow.f64 (log.f64 (pow.f64 x x)) 2) (*.f64 x x))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (-.f64 (log.f64 (pow.f64 x x)) x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (/.f64 (pow.f64 x x) (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (-.f64 (log.f64 (pow.f64 x x)) x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (/.f64 (+.f64 1 (-.f64 (pow.f64 x x) 1)) (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (/.f64 (pow.f64 x x) (+.f64 1 (expm1.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (/.f64 (+.f64 1 (-.f64 (pow.f64 x x) 1)) (+.f64 1 (expm1.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (-.f64 (pow.f64 x x) 1)) (exp.f64 (neg.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 (neg.f64 x)) (+.f64 1 (-.f64 (pow.f64 x x) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (-.f64 (log.f64 (pow.f64 x x)) x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (-.f64 (log.f64 (pow.f64 x x)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x (log.f64 x) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x (log.f64 x) (*.f64 (neg.f64 x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x (-.f64 (log.f64 x) 1) (fma.f64 (neg.f64 x) 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x (-.f64 (log.f64 x) 1) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x (-.f64 (log.f64 x) 1) (+.f64 (neg.f64 x) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (log.f64 x) x (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (log.f64 x) x (*.f64 (neg.f64 x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (log.f64 (pow.f64 x x)) 1 (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (log.f64 (pow.f64 x x)) 1 (*.f64 (neg.f64 x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (log.f64 (pow.f64 x x)) x) 1 (fma.f64 (neg.f64 x) 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (log.f64 (pow.f64 x x)) x) 1 (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (log.f64 (pow.f64 x x)) x) 1 (+.f64 (neg.f64 x) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (log.f64 (pow.f64 x x)) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (log.f64 (pow.f64 x x)) (*.f64 (neg.f64 x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (-.f64 (log.f64 (pow.f64 x x)) x) (fma.f64 (neg.f64 x) 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (-.f64 (log.f64 (pow.f64 x x)) x) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (-.f64 (log.f64 (pow.f64 x x)) x) (+.f64 (neg.f64 x) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (neg.f64 x) (log.f64 (pow.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (-.f64 (log.f64 (pow.f64 x x)) x)) (pow.f64 (cbrt.f64 (-.f64 (log.f64 (pow.f64 x x)) x)) 2) (fma.f64 (neg.f64 x) 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (-.f64 (log.f64 (pow.f64 x x)) x)) (pow.f64 (cbrt.f64 (-.f64 (log.f64 (pow.f64 x x)) x)) 2) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (-.f64 (log.f64 (pow.f64 x x)) x)) (pow.f64 (cbrt.f64 (-.f64 (log.f64 (pow.f64 x x)) x)) 2) (+.f64 (neg.f64 x) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (-.f64 (log.f64 (pow.f64 x x)) x)) 2) (cbrt.f64 (-.f64 (log.f64 (pow.f64 x x)) x)) (fma.f64 (neg.f64 x) 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (-.f64 (log.f64 (pow.f64 x x)) x)) 2) (cbrt.f64 (-.f64 (log.f64 (pow.f64 x x)) x)) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (-.f64 (log.f64 (pow.f64 x x)) x)) 2) (cbrt.f64 (-.f64 (log.f64 (pow.f64 x x)) x)) (+.f64 (neg.f64 x) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (neg.f64 (cbrt.f64 x)) (log.f64 (pow.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (log.f64 x)) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (log.f64 x)) (*.f64 (neg.f64 x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (log.f64 x)) 2) (*.f64 (cbrt.f64 (log.f64 x)) x) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (log.f64 x)) 2) (*.f64 (cbrt.f64 (log.f64 x)) x) (*.f64 (neg.f64 x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (log.f64 (pow.f64 x x))) (pow.f64 (cbrt.f64 (log.f64 (pow.f64 x x))) 2) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (log.f64 (pow.f64 x x))) (pow.f64 (cbrt.f64 (log.f64 (pow.f64 x x))) 2) (*.f64 (neg.f64 x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (log.f64 (pow.f64 x x))) 2) (cbrt.f64 (log.f64 (pow.f64 x x))) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (log.f64 (pow.f64 x x))) 2) (cbrt.f64 (log.f64 (pow.f64 x x))) (*.f64 (neg.f64 x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (-.f64 (log.f64 (pow.f64 x x)) x)) (sqrt.f64 (-.f64 (log.f64 (pow.f64 x x)) x)) (fma.f64 (neg.f64 x) 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (-.f64 (log.f64 (pow.f64 x x)) x)) (sqrt.f64 (-.f64 (log.f64 (pow.f64 x x)) x)) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (-.f64 (log.f64 (pow.f64 x x)) x)) (sqrt.f64 (-.f64 (log.f64 (pow.f64 x x)) x)) (+.f64 (neg.f64 x) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (neg.f64 (sqrt.f64 x)) (log.f64 (pow.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (log.f64 x)) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (log.f64 x)) (*.f64 (neg.f64 x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (log.f64 x)) (*.f64 (sqrt.f64 (log.f64 x)) x) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (log.f64 x)) (*.f64 (sqrt.f64 (log.f64 x)) x) (*.f64 (neg.f64 x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (log.f64 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x)) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (log.f64 (pow.f64 x x)) (neg.f64 (-.f64 x (/.f64 83333333333333/1000000000000000 x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (log.f64 (pow.f64 x x)) (fma.f64 -1 x (/.f64 83333333333333/1000000000000000 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (-.f64 (log.f64 (pow.f64 x x)) x) (/.f64 83333333333333/1000000000000000 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (/.f64 83333333333333/1000000000000000 x) (-.f64 (log.f64 (pow.f64 x x)) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (-.f64 (log.f64 (pow.f64 x x)) x)) (pow.f64 (cbrt.f64 (-.f64 (log.f64 (pow.f64 x x)) x)) 2) (/.f64 83333333333333/1000000000000000 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (-.f64 (log.f64 (pow.f64 x x)) x)) 2) (cbrt.f64 (-.f64 (log.f64 (pow.f64 x x)) x)) (/.f64 83333333333333/1000000000000000 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 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(*.f64 (log.f64 (pow.f64 (fma.f64 x (-.f64 (log.f64 x) 1) (/.f64 83333333333333/1000000000000000 x)) 3)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (fma.f64 x (-.f64 (log.f64 x) 1) (/.f64 83333333333333/1000000000000000 x)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 x (-.f64 (log.f64 x) 1) (/.f64 83333333333333/1000000000000000 x)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (fma.f64 x (-.f64 (log.f64 x) 1) (/.f64 83333333333333/1000000000000000 x))) 1) 1))))))

simplify165.0ms (1%)

Algorithm

1×	egg-herbie

Rules

654×	`fma-def_binary64`
615×	`times-frac_binary64`
570×	`unsub-neg_binary64`
445×	`distribute-rgt-in_binary64`
369×	`sub-neg_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	31	337
1	83	319
2	195	319
3	604	319
4	1398	319
5	3077	319
6	3634	319
7	4138	319
8	5412	319
9	5787	319
10	6007	319
11	7025	319
12	7519	319
13	7908	319

Stop Event

1×	node limit

Counts

281 → 258

Calls

Call 1

Inputs
(*.f64 (-.f64 (log.f64 x) 1) x)
(*.f64 (-.f64 (log.f64 x) 1) x)
(*.f64 (-.f64 (log.f64 x) 1) x)
(*.f64 (-.f64 (log.f64 x) 1) x)
(.f64 (-.f64 (.f64 -1 (log.f64 (/.f64 1 x))) 1) x)
(.f64 (-.f64 (.f64 -1 (log.f64 (/.f64 1 x))) 1) x)
(.f64 (-.f64 (.f64 -1 (log.f64 (/.f64 1 x))) 1) x)
(.f64 (-.f64 (.f64 -1 (log.f64 (/.f64 1 x))) 1) x)
(.f64 -1 (.f64 x (+.f64 1 (.f64 -1 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))))))
(.f64 -1 (.f64 x (+.f64 1 (.f64 -1 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))))))
(.f64 -1 (.f64 x (+.f64 1 (.f64 -1 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))))))
(.f64 -1 (.f64 x (+.f64 1 (.f64 -1 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))))))
(*.f64 (log.f64 x) x)
(*.f64 (log.f64 x) x)
(*.f64 (log.f64 x) x)
(*.f64 (log.f64 x) x)
(.f64 -1 (.f64 (log.f64 (/.f64 1 x)) x))
(.f64 -1 (.f64 (log.f64 (/.f64 1 x)) x))
(.f64 -1 (.f64 (log.f64 (/.f64 1 x)) x))
(.f64 -1 (.f64 (log.f64 (/.f64 1 x)) x))
(.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) x)
(.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) x)
(.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) x)
(.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) x)
(/.f64 83333333333333/1000000000000000 x)
(+.f64 (.f64 83333333333333/1000000000000000 (/.f64 1 x)) (.f64 (-.f64 (log.f64 x) 1) x))
(+.f64 (.f64 83333333333333/1000000000000000 (/.f64 1 x)) (.f64 (-.f64 (log.f64 x) 1) x))
(+.f64 (.f64 83333333333333/1000000000000000 (/.f64 1 x)) (.f64 (-.f64 (log.f64 x) 1) x))
(.f64 (-.f64 (.f64 -1 (log.f64 (/.f64 1 x))) 1) x)
(+.f64 (.f64 (-.f64 (.f64 -1 (log.f64 (/.f64 1 x))) 1) x) (*.f64 83333333333333/1000000000000000 (/.f64 1 x)))
(+.f64 (.f64 (-.f64 (.f64 -1 (log.f64 (/.f64 1 x))) 1) x) (*.f64 83333333333333/1000000000000000 (/.f64 1 x)))
(+.f64 (.f64 (-.f64 (.f64 -1 (log.f64 (/.f64 1 x))) 1) x) (*.f64 83333333333333/1000000000000000 (/.f64 1 x)))
(.f64 -1 (.f64 x (+.f64 1 (.f64 -1 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))))))
(+.f64 (.f64 83333333333333/1000000000000000 (/.f64 1 x)) (.f64 -1 (.f64 x (+.f64 1 (.f64 -1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))))))
(+.f64 (.f64 83333333333333/1000000000000000 (/.f64 1 x)) (.f64 -1 (.f64 x (+.f64 1 (.f64 -1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))))))
(+.f64 (.f64 83333333333333/1000000000000000 (/.f64 1 x)) (.f64 -1 (.f64 x (+.f64 1 (.f64 -1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))))))

Outputs
(*.f64 (-.f64 (log.f64 x) 1) x)
(*.f64 x (+.f64 (log.f64 x) -1))
(*.f64 x (-.f64 (log.f64 x) 1))
(fma.f64 x (log.f64 x) (neg.f64 x))
(*.f64 x (+.f64 -1 (log.f64 x)))
(*.f64 (-.f64 (log.f64 x) 1) x)
(*.f64 x (+.f64 (log.f64 x) -1))
(*.f64 x (-.f64 (log.f64 x) 1))
(fma.f64 x (log.f64 x) (neg.f64 x))
(*.f64 x (+.f64 -1 (log.f64 x)))
(*.f64 (-.f64 (log.f64 x) 1) x)
(*.f64 x (+.f64 (log.f64 x) -1))
(*.f64 x (-.f64 (log.f64 x) 1))
(fma.f64 x (log.f64 x) (neg.f64 x))
(*.f64 x (+.f64 -1 (log.f64 x)))
(*.f64 (-.f64 (log.f64 x) 1) x)
(*.f64 x (+.f64 (log.f64 x) -1))
(*.f64 x (-.f64 (log.f64 x) 1))
(fma.f64 x (log.f64 x) (neg.f64 x))
(*.f64 x (+.f64 -1 (log.f64 x)))
(.f64 (-.f64 (.f64 -1 (log.f64 (/.f64 1 x))) 1) x)
(*.f64 x (+.f64 (log.f64 x) -1))
(*.f64 x (-.f64 (log.f64 x) 1))
(fma.f64 x (log.f64 x) (neg.f64 x))
(*.f64 x (+.f64 -1 (log.f64 x)))
(.f64 (-.f64 (.f64 -1 (log.f64 (/.f64 1 x))) 1) x)
(*.f64 x (+.f64 (log.f64 x) -1))
(*.f64 x (-.f64 (log.f64 x) 1))
(fma.f64 x (log.f64 x) (neg.f64 x))
(*.f64 x (+.f64 -1 (log.f64 x)))
(.f64 (-.f64 (.f64 -1 (log.f64 (/.f64 1 x))) 1) x)
(*.f64 x (+.f64 (log.f64 x) -1))
(*.f64 x (-.f64 (log.f64 x) 1))
(fma.f64 x (log.f64 x) (neg.f64 x))
(*.f64 x (+.f64 -1 (log.f64 x)))
(.f64 (-.f64 (.f64 -1 (log.f64 (/.f64 1 x))) 1) x)
(*.f64 x (+.f64 (log.f64 x) -1))
(*.f64 x (-.f64 (log.f64 x) 1))
(fma.f64 x (log.f64 x) (neg.f64 x))
(*.f64 x (+.f64 -1 (log.f64 x)))
(.f64 -1 (.f64 x (+.f64 1 (.f64 -1 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))))))
(*.f64 x (+.f64 (log.f64 x) -1))
(*.f64 x (-.f64 (log.f64 x) 1))
(fma.f64 x (log.f64 x) (neg.f64 x))
(*.f64 x (+.f64 -1 (log.f64 x)))
(.f64 -1 (.f64 x (+.f64 1 (.f64 -1 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))))))
(*.f64 x (+.f64 (log.f64 x) -1))
(*.f64 x (-.f64 (log.f64 x) 1))
(fma.f64 x (log.f64 x) (neg.f64 x))
(*.f64 x (+.f64 -1 (log.f64 x)))
(.f64 -1 (.f64 x (+.f64 1 (.f64 -1 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))))))
(*.f64 x (+.f64 (log.f64 x) -1))
(*.f64 x (-.f64 (log.f64 x) 1))
(fma.f64 x (log.f64 x) (neg.f64 x))
(*.f64 x (+.f64 -1 (log.f64 x)))
(.f64 -1 (.f64 x (+.f64 1 (.f64 -1 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))))))
(*.f64 x (+.f64 (log.f64 x) -1))
(*.f64 x (-.f64 (log.f64 x) 1))
(fma.f64 x (log.f64 x) (neg.f64 x))
(*.f64 x (+.f64 -1 (log.f64 x)))
(*.f64 (log.f64 x) x)
(*.f64 x (log.f64 x))
(*.f64 (log.f64 x) x)
(*.f64 x (log.f64 x))
(*.f64 (log.f64 x) x)
(*.f64 x (log.f64 x))
(*.f64 (log.f64 x) x)
(*.f64 x (log.f64 x))
(.f64 -1 (.f64 (log.f64 (/.f64 1 x)) x))
(*.f64 x (log.f64 x))
(.f64 -1 (.f64 (log.f64 (/.f64 1 x)) x))
(*.f64 x (log.f64 x))
(.f64 -1 (.f64 (log.f64 (/.f64 1 x)) x))
(*.f64 x (log.f64 x))
(.f64 -1 (.f64 (log.f64 (/.f64 1 x)) x))
(*.f64 x (log.f64 x))
(.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) x)
(*.f64 x (log.f64 x))
(.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) x)
(*.f64 x (log.f64 x))
(.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) x)
(*.f64 x (log.f64 x))
(.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) x)
(*.f64 x (log.f64 x))
(/.f64 83333333333333/1000000000000000 x)
(+.f64 (.f64 83333333333333/1000000000000000 (/.f64 1 x)) (.f64 (-.f64 (log.f64 x) 1) x))
(+.f64 (*.f64 x (+.f64 (log.f64 x) -1)) (/.f64 83333333333333/1000000000000000 x))
(fma.f64 x (-.f64 (log.f64 x) 1) (/.f64 83333333333333/1000000000000000 x))
(fma.f64 x (+.f64 (log.f64 x) -1) (/.f64 83333333333333/1000000000000000 x))
(fma.f64 x (log.f64 x) (-.f64 (/.f64 83333333333333/1000000000000000 x) x))
(-.f64 (fma.f64 x (log.f64 x) (/.f64 83333333333333/1000000000000000 x)) x)
(+.f64 (.f64 83333333333333/1000000000000000 (/.f64 1 x)) (.f64 (-.f64 (log.f64 x) 1) x))
(+.f64 (*.f64 x (+.f64 (log.f64 x) -1)) (/.f64 83333333333333/1000000000000000 x))
(fma.f64 x (-.f64 (log.f64 x) 1) (/.f64 83333333333333/1000000000000000 x))
(fma.f64 x (+.f64 (log.f64 x) -1) (/.f64 83333333333333/1000000000000000 x))
(fma.f64 x (log.f64 x) (-.f64 (/.f64 83333333333333/1000000000000000 x) x))
(-.f64 (fma.f64 x (log.f64 x) (/.f64 83333333333333/1000000000000000 x)) x)
(+.f64 (.f64 83333333333333/1000000000000000 (/.f64 1 x)) (.f64 (-.f64 (log.f64 x) 1) x))
(+.f64 (*.f64 x (+.f64 (log.f64 x) -1)) (/.f64 83333333333333/1000000000000000 x))
(fma.f64 x (-.f64 (log.f64 x) 1) (/.f64 83333333333333/1000000000000000 x))
(fma.f64 x (+.f64 (log.f64 x) -1) (/.f64 83333333333333/1000000000000000 x))
(fma.f64 x (log.f64 x) (-.f64 (/.f64 83333333333333/1000000000000000 x) x))
(-.f64 (fma.f64 x (log.f64 x) (/.f64 83333333333333/1000000000000000 x)) x)
(.f64 (-.f64 (.f64 -1 (log.f64 (/.f64 1 x))) 1) x)
(*.f64 x (+.f64 (log.f64 x) -1))
(*.f64 x (-.f64 (log.f64 x) 1))
(fma.f64 x (log.f64 x) (neg.f64 x))
(*.f64 x (+.f64 -1 (log.f64 x)))
(+.f64 (.f64 (-.f64 (.f64 -1 (log.f64 (/.f64 1 x))) 1) x) (*.f64 83333333333333/1000000000000000 (/.f64 1 x)))
(+.f64 (*.f64 x (+.f64 (log.f64 x) -1)) (/.f64 83333333333333/1000000000000000 x))
(fma.f64 x (-.f64 (log.f64 x) 1) (/.f64 83333333333333/1000000000000000 x))
(fma.f64 x (+.f64 (log.f64 x) -1) (/.f64 83333333333333/1000000000000000 x))
(fma.f64 x (log.f64 x) (-.f64 (/.f64 83333333333333/1000000000000000 x) x))
(-.f64 (fma.f64 x (log.f64 x) (/.f64 83333333333333/1000000000000000 x)) x)
(+.f64 (.f64 (-.f64 (.f64 -1 (log.f64 (/.f64 1 x))) 1) x) (*.f64 83333333333333/1000000000000000 (/.f64 1 x)))
(+.f64 (*.f64 x (+.f64 (log.f64 x) -1)) (/.f64 83333333333333/1000000000000000 x))
(fma.f64 x (-.f64 (log.f64 x) 1) (/.f64 83333333333333/1000000000000000 x))
(fma.f64 x (+.f64 (log.f64 x) -1) (/.f64 83333333333333/1000000000000000 x))
(fma.f64 x (log.f64 x) (-.f64 (/.f64 83333333333333/1000000000000000 x) x))
(-.f64 (fma.f64 x (log.f64 x) (/.f64 83333333333333/1000000000000000 x)) x)
(+.f64 (.f64 (-.f64 (.f64 -1 (log.f64 (/.f64 1 x))) 1) x) (*.f64 83333333333333/1000000000000000 (/.f64 1 x)))
(+.f64 (*.f64 x (+.f64 (log.f64 x) -1)) (/.f64 83333333333333/1000000000000000 x))
(fma.f64 x (-.f64 (log.f64 x) 1) (/.f64 83333333333333/1000000000000000 x))
(fma.f64 x (+.f64 (log.f64 x) -1) (/.f64 83333333333333/1000000000000000 x))
(fma.f64 x (log.f64 x) (-.f64 (/.f64 83333333333333/1000000000000000 x) x))
(-.f64 (fma.f64 x (log.f64 x) (/.f64 83333333333333/1000000000000000 x)) x)
(.f64 -1 (.f64 x (+.f64 1 (.f64 -1 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))))))
(*.f64 x (+.f64 (log.f64 x) -1))
(*.f64 x (-.f64 (log.f64 x) 1))
(fma.f64 x (log.f64 x) (neg.f64 x))
(*.f64 x (+.f64 -1 (log.f64 x)))
(+.f64 (.f64 83333333333333/1000000000000000 (/.f64 1 x)) (.f64 -1 (.f64 x (+.f64 1 (.f64 -1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))))))
(+.f64 (*.f64 x (+.f64 (log.f64 x) -1)) (/.f64 83333333333333/1000000000000000 x))
(fma.f64 x (-.f64 (log.f64 x) 1) (/.f64 83333333333333/1000000000000000 x))
(fma.f64 x (+.f64 (log.f64 x) -1) (/.f64 83333333333333/1000000000000000 x))
(fma.f64 x (log.f64 x) (-.f64 (/.f64 83333333333333/1000000000000000 x) x))
(-.f64 (fma.f64 x (log.f64 x) (/.f64 83333333333333/1000000000000000 x)) x)
(+.f64 (.f64 83333333333333/1000000000000000 (/.f64 1 x)) (.f64 -1 (.f64 x (+.f64 1 (.f64 -1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))))))
(+.f64 (*.f64 x (+.f64 (log.f64 x) -1)) (/.f64 83333333333333/1000000000000000 x))
(fma.f64 x (-.f64 (log.f64 x) 1) (/.f64 83333333333333/1000000000000000 x))
(fma.f64 x (+.f64 (log.f64 x) -1) (/.f64 83333333333333/1000000000000000 x))
(fma.f64 x (log.f64 x) (-.f64 (/.f64 83333333333333/1000000000000000 x) x))
(-.f64 (fma.f64 x (log.f64 x) (/.f64 83333333333333/1000000000000000 x)) x)
(+.f64 (.f64 83333333333333/1000000000000000 (/.f64 1 x)) (.f64 -1 (.f64 x (+.f64 1 (.f64 -1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))))))
(+.f64 (*.f64 x (+.f64 (log.f64 x) -1)) (/.f64 83333333333333/1000000000000000 x))
(fma.f64 x (-.f64 (log.f64 x) 1) (/.f64 83333333333333/1000000000000000 x))
(fma.f64 x (+.f64 (log.f64 x) -1) (/.f64 83333333333333/1000000000000000 x))
(fma.f64 x (log.f64 x) (-.f64 (/.f64 83333333333333/1000000000000000 x) x))
(-.f64 (fma.f64 x (log.f64 x) (/.f64 83333333333333/1000000000000000 x)) x)

localize12.0ms (0.1%)

Local error

Found 8 expressions with local error:

New	Error	Program
	0.2b	(*.f64 z (/.f64 z x))
	0.1b	(*.f64 (-.f64 x 1/2) (log.f64 x))
	0.1b	(+.f64 (-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000)
	0.0b	(+.f64 (+.f64 (-.f64 (.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (.f64 y (*.f64 z (/.f64 z x))))
	0.1b	(*.f64 (-.f64 x 1/2) (log.f64 x))
✓	0.2b	(*.f64 z (/.f64 z x))
	0.2b	(-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x)
✓	4.4b	(.f64 y (.f64 z (/.f64 z x)))

series47.0ms (0.3%)

Counts

2 → 60

Calls

15 calls:

Time	Variable		Point	Expression
40.0ms	x	@	inf	(.f64 y (.f64 z (/.f64 z x)))
1.0ms	y	@	0	(.f64 y (.f64 z (/.f64 z x)))
1.0ms	x	@	-inf	(.f64 y (.f64 z (/.f64 z x)))
1.0ms	x	@	0	(.f64 y (.f64 z (/.f64 z x)))
1.0ms	z	@	0	(.f64 y (.f64 z (/.f64 z x)))

rewrite55.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

787×	`pow1_binary64`
725×	`add-log-exp_binary64`
725×	`log1p-expm1-u_binary64`
725×	`expm1-log1p-u_binary64`
708×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	17
1	146	17
2	1953	17

Stop Event

1×	node limit

Counts

2 → 41

Calls

Call 1

Inputs
(.f64 y (.f64 z (/.f64 z x)))
(*.f64 z (/.f64 z x))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 y (*.f64 z (/.f64 z x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 y z) (/.f64 x z))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 z z) y) x)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 y (*.f64 z z)) x)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 y z) z) x)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 y z) 1) (/.f64 x z))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 y z) (neg.f64 z)) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 y (*.f64 z (/.f64 z x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 y (*.f64 z (/.f64 z x))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 y (*.f64 z (/.f64 z x)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 z (sqrt.f64 x)) (sqrt.f64 y)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 y (*.f64 z (/.f64 z x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (pow.f64 (exp.f64 z) (/.f64 z x)) y))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 y (*.f64 z (/.f64 z x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 y 3) (pow.f64 (*.f64 z (/.f64 z x)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (*.f64 z (/.f64 z x)) 3) (pow.f64 y 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 y (*.f64 z (/.f64 z x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 y (*.f64 z (/.f64 z x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 y (*.f64 z (/.f64 z x)))))))))

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 z (/.f64 z x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 z (/.f64 x z))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 x (*.f64 z z)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 z z) x)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 z z)) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 z) z) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 z (neg.f64 z)) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 z z) 1) x)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 z z) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 z z) (sqrt.f64 x)) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 z (/.f64 z x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 z (/.f64 z x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 z (/.f64 z x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 z (sqrt.f64 x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 z (/.f64 z x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 z) (/.f64 z x)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 z (/.f64 z x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 z 3) (pow.f64 (/.f64 z x) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (/.f64 z x) 3) (pow.f64 z 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 z (/.f64 z x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 z (/.f64 z x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 z (/.f64 z x))))))))

simplify96.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

1228×	`associate-*l/_binary64`
1022×	`associate-*r/_binary64`
475×	`sqr-pow_binary64`
304×	`*-commutative_binary64`
254×	`fabs-mul_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	528
1	17	528
2	35	528
3	76	528
4	213	528
5	726	528
6	1826	528
7	2799	528
8	2907	528
9	3044	528
10	3220	528
11	3482	528
12	3801	528
13	5088	528
14	7576	528

Stop Event

1×	node limit

Counts

101 → 45

Calls

Call 1

Inputs
(/.f64 (*.f64 y (pow.f64 z 2)) x)
(/.f64 (*.f64 y (pow.f64 z 2)) x)
(/.f64 (*.f64 y (pow.f64 z 2)) x)
(/.f64 (*.f64 y (pow.f64 z 2)) x)
(/.f64 (*.f64 y (pow.f64 z 2)) x)
(/.f64 (*.f64 y (pow.f64 z 2)) x)
(/.f64 (*.f64 y (pow.f64 z 2)) x)
(/.f64 (*.f64 y (pow.f64 z 2)) x)
(/.f64 (*.f64 y (pow.f64 z 2)) x)
(/.f64 (*.f64 y (pow.f64 z 2)) x)
(/.f64 (*.f64 y (pow.f64 z 2)) x)
(/.f64 (*.f64 y (pow.f64 z 2)) x)
(/.f64 (*.f64 y (pow.f64 z 2)) x)
(/.f64 (*.f64 y (pow.f64 z 2)) x)
(/.f64 (*.f64 y (pow.f64 z 2)) x)
(/.f64 (*.f64 y (pow.f64 z 2)) x)
(/.f64 (*.f64 y (pow.f64 z 2)) x)
(/.f64 (*.f64 y (pow.f64 z 2)) x)
(/.f64 (*.f64 y (pow.f64 z 2)) x)
(/.f64 (*.f64 y (pow.f64 z 2)) x)
(/.f64 (*.f64 y (pow.f64 z 2)) x)
(/.f64 (*.f64 y (pow.f64 z 2)) x)
(/.f64 (*.f64 y (pow.f64 z 2)) x)
(/.f64 (*.f64 y (pow.f64 z 2)) x)
(/.f64 (*.f64 y (pow.f64 z 2)) x)
(/.f64 (*.f64 y (pow.f64 z 2)) x)
(/.f64 (*.f64 y (pow.f64 z 2)) x)
(/.f64 (*.f64 y (pow.f64 z 2)) x)
(/.f64 (*.f64 y (pow.f64 z 2)) x)
(/.f64 (*.f64 y (pow.f64 z 2)) x)
(/.f64 (*.f64 y (pow.f64 z 2)) x)
(/.f64 (*.f64 y (pow.f64 z 2)) x)
(/.f64 (*.f64 y (pow.f64 z 2)) x)
(/.f64 (*.f64 y (pow.f64 z 2)) x)
(/.f64 (*.f64 y (pow.f64 z 2)) x)
(/.f64 (*.f64 y (pow.f64 z 2)) x)
(/.f64 (pow.f64 z 2) x)
(/.f64 (pow.f64 z 2) x)
(/.f64 (pow.f64 z 2) x)
(/.f64 (pow.f64 z 2) x)
(/.f64 (pow.f64 z 2) x)
(/.f64 (pow.f64 z 2) x)
(/.f64 (pow.f64 z 2) x)
(/.f64 (pow.f64 z 2) x)
(/.f64 (pow.f64 z 2) x)
(/.f64 (pow.f64 z 2) x)
(/.f64 (pow.f64 z 2) x)
(/.f64 (pow.f64 z 2) x)
(/.f64 (pow.f64 z 2) x)
(/.f64 (pow.f64 z 2) x)
(/.f64 (pow.f64 z 2) x)
(/.f64 (pow.f64 z 2) x)
(/.f64 (pow.f64 z 2) x)
(/.f64 (pow.f64 z 2) x)
(/.f64 (pow.f64 z 2) x)
(/.f64 (pow.f64 z 2) x)
(/.f64 (pow.f64 z 2) x)
(/.f64 (pow.f64 z 2) x)
(/.f64 (pow.f64 z 2) x)
(/.f64 (pow.f64 z 2) x)

Outputs
(/.f64 (*.f64 y (pow.f64 z 2)) x)
(/.f64 y (/.f64 x (*.f64 z z)))
(.f64 (/.f64 y x) (.f64 z z))
(/.f64 z (/.f64 x (*.f64 y z)))
(.f64 y (.f64 z (/.f64 z x)))
(.f64 y (/.f64 (.f64 z z) x))
(.f64 (.f64 z z) (/.f64 y x))
(/.f64 (*.f64 y (pow.f64 z 2)) x)
(/.f64 y (/.f64 x (*.f64 z z)))
(.f64 (/.f64 y x) (.f64 z z))
(/.f64 z (/.f64 x (*.f64 y z)))
(.f64 y (.f64 z (/.f64 z x)))
(.f64 y (/.f64 (.f64 z z) x))
(.f64 (.f64 z z) (/.f64 y x))
(/.f64 (*.f64 y (pow.f64 z 2)) x)
(/.f64 y (/.f64 x (*.f64 z z)))
(.f64 (/.f64 y x) (.f64 z z))
(/.f64 z (/.f64 x (*.f64 y z)))
(.f64 y (.f64 z (/.f64 z x)))
(.f64 y (/.f64 (.f64 z z) x))
(.f64 (.f64 z z) (/.f64 y x))
(/.f64 (*.f64 y (pow.f64 z 2)) x)
(/.f64 y (/.f64 x (*.f64 z z)))
(.f64 (/.f64 y x) (.f64 z z))
(/.f64 z (/.f64 x (*.f64 y z)))
(.f64 y (.f64 z (/.f64 z x)))
(.f64 y (/.f64 (.f64 z z) x))
(.f64 (.f64 z z) (/.f64 y x))
(/.f64 (*.f64 y (pow.f64 z 2)) x)
(/.f64 y (/.f64 x (*.f64 z z)))
(.f64 (/.f64 y x) (.f64 z z))
(/.f64 z (/.f64 x (*.f64 y z)))
(.f64 y (.f64 z (/.f64 z x)))
(.f64 y (/.f64 (.f64 z z) x))
(.f64 (.f64 z z) (/.f64 y x))
(/.f64 (*.f64 y (pow.f64 z 2)) x)
(/.f64 y (/.f64 x (*.f64 z z)))
(.f64 (/.f64 y x) (.f64 z z))
(/.f64 z (/.f64 x (*.f64 y z)))
(.f64 y (.f64 z (/.f64 z x)))
(.f64 y (/.f64 (.f64 z z) x))
(.f64 (.f64 z z) (/.f64 y x))
(/.f64 (*.f64 y (pow.f64 z 2)) x)
(/.f64 y (/.f64 x (*.f64 z z)))
(.f64 (/.f64 y x) (.f64 z z))
(/.f64 z (/.f64 x (*.f64 y z)))
(.f64 y (.f64 z (/.f64 z x)))
(.f64 y (/.f64 (.f64 z z) x))
(.f64 (.f64 z z) (/.f64 y x))
(/.f64 (*.f64 y (pow.f64 z 2)) x)
(/.f64 y (/.f64 x (*.f64 z z)))
(.f64 (/.f64 y x) (.f64 z z))
(/.f64 z (/.f64 x (*.f64 y z)))
(.f64 y (.f64 z (/.f64 z x)))
(.f64 y (/.f64 (.f64 z z) x))
(.f64 (.f64 z z) (/.f64 y x))
(/.f64 (*.f64 y (pow.f64 z 2)) x)
(/.f64 y (/.f64 x (*.f64 z z)))
(.f64 (/.f64 y x) (.f64 z z))
(/.f64 z (/.f64 x (*.f64 y z)))
(.f64 y (.f64 z (/.f64 z x)))
(.f64 y (/.f64 (.f64 z z) x))
(.f64 (.f64 z z) (/.f64 y x))
(/.f64 (*.f64 y (pow.f64 z 2)) x)
(/.f64 y (/.f64 x (*.f64 z z)))
(.f64 (/.f64 y x) (.f64 z z))
(/.f64 z (/.f64 x (*.f64 y z)))
(.f64 y (.f64 z (/.f64 z x)))
(.f64 y (/.f64 (.f64 z z) x))
(.f64 (.f64 z z) (/.f64 y x))
(/.f64 (*.f64 y (pow.f64 z 2)) x)
(/.f64 y (/.f64 x (*.f64 z z)))
(.f64 (/.f64 y x) (.f64 z z))
(/.f64 z (/.f64 x (*.f64 y z)))
(.f64 y (.f64 z (/.f64 z x)))
(.f64 y (/.f64 (.f64 z z) x))
(.f64 (.f64 z z) (/.f64 y x))
(/.f64 (*.f64 y (pow.f64 z 2)) x)
(/.f64 y (/.f64 x (*.f64 z z)))
(.f64 (/.f64 y x) (.f64 z z))
(/.f64 z (/.f64 x (*.f64 y z)))
(.f64 y (.f64 z (/.f64 z x)))
(.f64 y (/.f64 (.f64 z z) x))
(.f64 (.f64 z z) (/.f64 y x))
(/.f64 (*.f64 y (pow.f64 z 2)) x)
(/.f64 y (/.f64 x (*.f64 z z)))
(.f64 (/.f64 y x) (.f64 z z))
(/.f64 z (/.f64 x (*.f64 y z)))
(.f64 y (.f64 z (/.f64 z x)))
(.f64 y (/.f64 (.f64 z z) x))
(.f64 (.f64 z z) (/.f64 y x))
(/.f64 (*.f64 y (pow.f64 z 2)) x)
(/.f64 y (/.f64 x (*.f64 z z)))
(.f64 (/.f64 y x) (.f64 z z))
(/.f64 z (/.f64 x (*.f64 y z)))
(.f64 y (.f64 z (/.f64 z x)))
(.f64 y (/.f64 (.f64 z z) x))
(.f64 (.f64 z z) (/.f64 y x))
(/.f64 (*.f64 y (pow.f64 z 2)) x)
(/.f64 y (/.f64 x (*.f64 z z)))
(.f64 (/.f64 y x) (.f64 z z))
(/.f64 z (/.f64 x (*.f64 y z)))
(.f64 y (.f64 z (/.f64 z x)))
(.f64 y (/.f64 (.f64 z z) x))
(.f64 (.f64 z z) (/.f64 y x))
(/.f64 (*.f64 y (pow.f64 z 2)) x)
(/.f64 y (/.f64 x (*.f64 z z)))
(.f64 (/.f64 y x) (.f64 z z))
(/.f64 z (/.f64 x (*.f64 y z)))
(.f64 y (.f64 z (/.f64 z x)))
(.f64 y (/.f64 (.f64 z z) x))
(.f64 (.f64 z z) (/.f64 y x))
(/.f64 (*.f64 y (pow.f64 z 2)) x)
(/.f64 y (/.f64 x (*.f64 z z)))
(.f64 (/.f64 y x) (.f64 z z))
(/.f64 z (/.f64 x (*.f64 y z)))
(.f64 y (.f64 z (/.f64 z x)))
(.f64 y (/.f64 (.f64 z z) x))
(.f64 (.f64 z z) (/.f64 y x))
(/.f64 (*.f64 y (pow.f64 z 2)) x)
(/.f64 y (/.f64 x (*.f64 z z)))
(.f64 (/.f64 y x) (.f64 z z))
(/.f64 z (/.f64 x (*.f64 y z)))
(.f64 y (.f64 z (/.f64 z x)))
(.f64 y (/.f64 (.f64 z z) x))
(.f64 (.f64 z z) (/.f64 y x))
(/.f64 (*.f64 y (pow.f64 z 2)) x)
(/.f64 y (/.f64 x (*.f64 z z)))
(.f64 (/.f64 y x) (.f64 z z))
(/.f64 z (/.f64 x (*.f64 y z)))
(.f64 y (.f64 z (/.f64 z x)))
(.f64 y (/.f64 (.f64 z z) x))
(.f64 (.f64 z z) (/.f64 y x))
(/.f64 (*.f64 y (pow.f64 z 2)) x)
(/.f64 y (/.f64 x (*.f64 z z)))
(.f64 (/.f64 y x) (.f64 z z))
(/.f64 z (/.f64 x (*.f64 y z)))
(.f64 y (.f64 z (/.f64 z x)))
(.f64 y (/.f64 (.f64 z z) x))
(.f64 (.f64 z z) (/.f64 y x))
(/.f64 (*.f64 y (pow.f64 z 2)) x)
(/.f64 y (/.f64 x (*.f64 z z)))
(.f64 (/.f64 y x) (.f64 z z))
(/.f64 z (/.f64 x (*.f64 y z)))
(.f64 y (.f64 z (/.f64 z x)))
(.f64 y (/.f64 (.f64 z z) x))
(.f64 (.f64 z z) (/.f64 y x))
(/.f64 (*.f64 y (pow.f64 z 2)) x)
(/.f64 y (/.f64 x (*.f64 z z)))
(.f64 (/.f64 y x) (.f64 z z))
(/.f64 z (/.f64 x (*.f64 y z)))
(.f64 y (.f64 z (/.f64 z x)))
(.f64 y (/.f64 (.f64 z z) x))
(.f64 (.f64 z z) (/.f64 y x))
(/.f64 (*.f64 y (pow.f64 z 2)) x)
(/.f64 y (/.f64 x (*.f64 z z)))
(.f64 (/.f64 y x) (.f64 z z))
(/.f64 z (/.f64 x (*.f64 y z)))
(.f64 y (.f64 z (/.f64 z x)))
(.f64 y (/.f64 (.f64 z z) x))
(.f64 (.f64 z z) (/.f64 y x))
(/.f64 (*.f64 y (pow.f64 z 2)) x)
(/.f64 y (/.f64 x (*.f64 z z)))
(.f64 (/.f64 y x) (.f64 z z))
(/.f64 z (/.f64 x (*.f64 y z)))
(.f64 y (.f64 z (/.f64 z x)))
(.f64 y (/.f64 (.f64 z z) x))
(.f64 (.f64 z z) (/.f64 y x))
(/.f64 (*.f64 y (pow.f64 z 2)) x)
(/.f64 y (/.f64 x (*.f64 z z)))
(.f64 (/.f64 y x) (.f64 z z))
(/.f64 z (/.f64 x (*.f64 y z)))
(.f64 y (.f64 z (/.f64 z x)))
(.f64 y (/.f64 (.f64 z z) x))
(.f64 (.f64 z z) (/.f64 y x))
(/.f64 (*.f64 y (pow.f64 z 2)) x)
(/.f64 y (/.f64 x (*.f64 z z)))
(.f64 (/.f64 y x) (.f64 z z))
(/.f64 z (/.f64 x (*.f64 y z)))
(.f64 y (.f64 z (/.f64 z x)))
(.f64 y (/.f64 (.f64 z z) x))
(.f64 (.f64 z z) (/.f64 y x))
(/.f64 (*.f64 y (pow.f64 z 2)) x)
(/.f64 y (/.f64 x (*.f64 z z)))
(.f64 (/.f64 y x) (.f64 z z))
(/.f64 z (/.f64 x (*.f64 y z)))
(.f64 y (.f64 z (/.f64 z x)))
(.f64 y (/.f64 (.f64 z z) x))
(.f64 (.f64 z z) (/.f64 y x))
(/.f64 (*.f64 y (pow.f64 z 2)) x)
(/.f64 y (/.f64 x (*.f64 z z)))
(.f64 (/.f64 y x) (.f64 z z))
(/.f64 z (/.f64 x (*.f64 y z)))
(.f64 y (.f64 z (/.f64 z x)))
(.f64 y (/.f64 (.f64 z z) x))
(.f64 (.f64 z z) (/.f64 y x))
(/.f64 (*.f64 y (pow.f64 z 2)) x)
(/.f64 y (/.f64 x (*.f64 z z)))
(.f64 (/.f64 y x) (.f64 z z))
(/.f64 z (/.f64 x (*.f64 y z)))
(.f64 y (.f64 z (/.f64 z x)))
(.f64 y (/.f64 (.f64 z z) x))
(.f64 (.f64 z z) (/.f64 y x))
(/.f64 (*.f64 y (pow.f64 z 2)) x)
(/.f64 y (/.f64 x (*.f64 z z)))
(.f64 (/.f64 y x) (.f64 z z))
(/.f64 z (/.f64 x (*.f64 y z)))
(.f64 y (.f64 z (/.f64 z x)))
(.f64 y (/.f64 (.f64 z z) x))
(.f64 (.f64 z z) (/.f64 y x))
(/.f64 (*.f64 y (pow.f64 z 2)) x)
(/.f64 y (/.f64 x (*.f64 z z)))
(.f64 (/.f64 y x) (.f64 z z))
(/.f64 z (/.f64 x (*.f64 y z)))
(.f64 y (.f64 z (/.f64 z x)))
(.f64 y (/.f64 (.f64 z z) x))
(.f64 (.f64 z z) (/.f64 y x))
(/.f64 (*.f64 y (pow.f64 z 2)) x)
(/.f64 y (/.f64 x (*.f64 z z)))
(.f64 (/.f64 y x) (.f64 z z))
(/.f64 z (/.f64 x (*.f64 y z)))
(.f64 y (.f64 z (/.f64 z x)))
(.f64 y (/.f64 (.f64 z z) x))
(.f64 (.f64 z z) (/.f64 y x))
(/.f64 (*.f64 y (pow.f64 z 2)) x)
(/.f64 y (/.f64 x (*.f64 z z)))
(.f64 (/.f64 y x) (.f64 z z))
(/.f64 z (/.f64 x (*.f64 y z)))
(.f64 y (.f64 z (/.f64 z x)))
(.f64 y (/.f64 (.f64 z z) x))
(.f64 (.f64 z z) (/.f64 y x))
(/.f64 (*.f64 y (pow.f64 z 2)) x)
(/.f64 y (/.f64 x (*.f64 z z)))
(.f64 (/.f64 y x) (.f64 z z))
(/.f64 z (/.f64 x (*.f64 y z)))
(.f64 y (.f64 z (/.f64 z x)))
(.f64 y (/.f64 (.f64 z z) x))
(.f64 (.f64 z z) (/.f64 y x))
(/.f64 (*.f64 y (pow.f64 z 2)) x)
(/.f64 y (/.f64 x (*.f64 z z)))
(.f64 (/.f64 y x) (.f64 z z))
(/.f64 z (/.f64 x (*.f64 y z)))
(.f64 y (.f64 z (/.f64 z x)))
(.f64 y (/.f64 (.f64 z z) x))
(.f64 (.f64 z z) (/.f64 y x))
(/.f64 (*.f64 y (pow.f64 z 2)) x)
(/.f64 y (/.f64 x (*.f64 z z)))
(.f64 (/.f64 y x) (.f64 z z))
(/.f64 z (/.f64 x (*.f64 y z)))
(.f64 y (.f64 z (/.f64 z x)))
(.f64 y (/.f64 (.f64 z z) x))
(.f64 (.f64 z z) (/.f64 y x))
(/.f64 (pow.f64 z 2) x)
(/.f64 (*.f64 z z) x)
(/.f64 z (/.f64 x z))
(*.f64 (/.f64 z x) z)
(*.f64 z (/.f64 z x))
(/.f64 (pow.f64 z 2) x)
(/.f64 (*.f64 z z) x)
(/.f64 z (/.f64 x z))
(*.f64 (/.f64 z x) z)
(*.f64 z (/.f64 z x))
(/.f64 (pow.f64 z 2) x)
(/.f64 (*.f64 z z) x)
(/.f64 z (/.f64 x z))
(*.f64 (/.f64 z x) z)
(*.f64 z (/.f64 z x))
(/.f64 (pow.f64 z 2) x)
(/.f64 (*.f64 z z) x)
(/.f64 z (/.f64 x z))
(*.f64 (/.f64 z x) z)
(*.f64 z (/.f64 z x))
(/.f64 (pow.f64 z 2) x)
(/.f64 (*.f64 z z) x)
(/.f64 z (/.f64 x z))
(*.f64 (/.f64 z x) z)
(*.f64 z (/.f64 z x))
(/.f64 (pow.f64 z 2) x)
(/.f64 (*.f64 z z) x)
(/.f64 z (/.f64 x z))
(*.f64 (/.f64 z x) z)
(*.f64 z (/.f64 z x))
(/.f64 (pow.f64 z 2) x)
(/.f64 (*.f64 z z) x)
(/.f64 z (/.f64 x z))
(*.f64 (/.f64 z x) z)
(*.f64 z (/.f64 z x))
(/.f64 (pow.f64 z 2) x)
(/.f64 (*.f64 z z) x)
(/.f64 z (/.f64 x z))
(*.f64 (/.f64 z x) z)
(*.f64 z (/.f64 z x))
(/.f64 (pow.f64 z 2) x)
(/.f64 (*.f64 z z) x)
(/.f64 z (/.f64 x z))
(*.f64 (/.f64 z x) z)
(*.f64 z (/.f64 z x))
(/.f64 (pow.f64 z 2) x)
(/.f64 (*.f64 z z) x)
(/.f64 z (/.f64 x z))
(*.f64 (/.f64 z x) z)
(*.f64 z (/.f64 z x))
(/.f64 (pow.f64 z 2) x)
(/.f64 (*.f64 z z) x)
(/.f64 z (/.f64 x z))
(*.f64 (/.f64 z x) z)
(*.f64 z (/.f64 z x))
(/.f64 (pow.f64 z 2) x)
(/.f64 (*.f64 z z) x)
(/.f64 z (/.f64 x z))
(*.f64 (/.f64 z x) z)
(*.f64 z (/.f64 z x))
(/.f64 (pow.f64 z 2) x)
(/.f64 (*.f64 z z) x)
(/.f64 z (/.f64 x z))
(*.f64 (/.f64 z x) z)
(*.f64 z (/.f64 z x))
(/.f64 (pow.f64 z 2) x)
(/.f64 (*.f64 z z) x)
(/.f64 z (/.f64 x z))
(*.f64 (/.f64 z x) z)
(*.f64 z (/.f64 z x))
(/.f64 (pow.f64 z 2) x)
(/.f64 (*.f64 z z) x)
(/.f64 z (/.f64 x z))
(*.f64 (/.f64 z x) z)
(*.f64 z (/.f64 z x))
(/.f64 (pow.f64 z 2) x)
(/.f64 (*.f64 z z) x)
(/.f64 z (/.f64 x z))
(*.f64 (/.f64 z x) z)
(*.f64 z (/.f64 z x))
(/.f64 (pow.f64 z 2) x)
(/.f64 (*.f64 z z) x)
(/.f64 z (/.f64 x z))
(*.f64 (/.f64 z x) z)
(*.f64 z (/.f64 z x))
(/.f64 (pow.f64 z 2) x)
(/.f64 (*.f64 z z) x)
(/.f64 z (/.f64 x z))
(*.f64 (/.f64 z x) z)
(*.f64 z (/.f64 z x))
(/.f64 (pow.f64 z 2) x)
(/.f64 (*.f64 z z) x)
(/.f64 z (/.f64 x z))
(*.f64 (/.f64 z x) z)
(*.f64 z (/.f64 z x))
(/.f64 (pow.f64 z 2) x)
(/.f64 (*.f64 z z) x)
(/.f64 z (/.f64 x z))
(*.f64 (/.f64 z x) z)
(*.f64 z (/.f64 z x))
(/.f64 (pow.f64 z 2) x)
(/.f64 (*.f64 z z) x)
(/.f64 z (/.f64 x z))
(*.f64 (/.f64 z x) z)
(*.f64 z (/.f64 z x))
(/.f64 (pow.f64 z 2) x)
(/.f64 (*.f64 z z) x)
(/.f64 z (/.f64 x z))
(*.f64 (/.f64 z x) z)
(*.f64 z (/.f64 z x))
(/.f64 (pow.f64 z 2) x)
(/.f64 (*.f64 z z) x)
(/.f64 z (/.f64 x z))
(*.f64 (/.f64 z x) z)
(*.f64 z (/.f64 z x))
(/.f64 (pow.f64 z 2) x)
(/.f64 (*.f64 z z) x)
(/.f64 z (/.f64 x z))
(*.f64 (/.f64 z x) z)
(*.f64 z (/.f64 z x))

localize16.0ms (0.1%)

Local error

Found 8 expressions with local error:

New	Error	Program
	0.0b	(+.f64 (+.f64 (.f64 7936500793651/10000000000000000 (.f64 z z)) (*.f64 -13888888888889/5000000000000000 z)) 83333333333333/1000000000000000)
	0.0b	(*.f64 -13888888888889/5000000000000000 z)
	0.0b	(+.f64 (.f64 7936500793651/10000000000000000 (.f64 z z)) (*.f64 -13888888888889/5000000000000000 z))
	0.0b	(+.f64 (+.f64 (-.f64 (.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (/.f64 (+.f64 (+.f64 (.f64 7936500793651/10000000000000000 (.f64 z z)) (.f64 -13888888888889/5000000000000000 z)) 83333333333333/1000000000000000) x))
✓	0.1b	(.f64 7936500793651/10000000000000000 (.f64 z z))
	0.1b	(*.f64 (-.f64 x 1/2) (log.f64 x))
	0.2b	(-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x)
✓	4.5b	(/.f64 (+.f64 (+.f64 (.f64 7936500793651/10000000000000000 (.f64 z z)) (*.f64 -13888888888889/5000000000000000 z)) 83333333333333/1000000000000000) x)

series4.0ms (0%)

Counts

2 → 36

Calls

9 calls:

Time	Variable		Point	Expression
1.0ms	x	@	0	(/.f64 (+.f64 (+.f64 (.f64 7936500793651/10000000000000000 (.f64 z z)) (*.f64 -13888888888889/5000000000000000 z)) 83333333333333/1000000000000000) x)
1.0ms	z	@	0	(/.f64 (+.f64 (+.f64 (.f64 7936500793651/10000000000000000 (.f64 z z)) (*.f64 -13888888888889/5000000000000000 z)) 83333333333333/1000000000000000) x)
1.0ms	x	@	-inf	(/.f64 (+.f64 (+.f64 (.f64 7936500793651/10000000000000000 (.f64 z z)) (*.f64 -13888888888889/5000000000000000 z)) 83333333333333/1000000000000000) x)
1.0ms	x	@	inf	(/.f64 (+.f64 (+.f64 (.f64 7936500793651/10000000000000000 (.f64 z z)) (*.f64 -13888888888889/5000000000000000 z)) 83333333333333/1000000000000000) x)
0.0ms	z	@	inf	(/.f64 (+.f64 (+.f64 (.f64 7936500793651/10000000000000000 (.f64 z z)) (*.f64 -13888888888889/5000000000000000 z)) 83333333333333/1000000000000000) x)

rewrite68.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

627×	`log-prod_binary64`
559×	`fma-def_binary64`
348×	`pow2_binary64`
297×	`fma-neg_binary64`
240×	`expm1-udef_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	12	24
1	273	22
2	3722	19

Stop Event

1×	node limit

Counts

2 → 56

Calls

Call 1

Inputs

(/.f64 (+.f64 (+.f64 (*.f64 7936500793651/10000000000000000 (*.f64 z z)) (*.f64 -13888888888889/5000000000000000 z)) 83333333333333/1000000000000000) x)

(*.f64 7936500793651/10000000000000000 (*.f64 z z))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (fma.f64 z (fma.f64 7936500793651/10000000000000000 z -13888888888889/5000000000000000) 83333333333333/1000000000000000) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (fma.f64 z (fma.f64 7936500793651/10000000000000000 z -13888888888889/5000000000000000) 83333333333333/1000000000000000) x))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (fma.f64 z (fma.f64 7936500793651/10000000000000000 z -13888888888889/5000000000000000) 83333333333333/1000000000000000) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (fma.f64 z (fma.f64 7936500793651/10000000000000000 z -13888888888889/5000000000000000) 83333333333333/1000000000000000) x)))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (fma.f64 z (fma.f64 7936500793651/10000000000000000 z -13888888888889/5000000000000000) 83333333333333/1000000000000000) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (fma.f64 z (fma.f64 7936500793651/10000000000000000 z -13888888888889/5000000000000000) 83333333333333/1000000000000000) x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 z (fma.f64 7936500793651/10000000000000000 z -13888888888889/5000000000000000) 83333333333333/1000000000000000) (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (fma.f64 z (fma.f64 7936500793651/10000000000000000 z -13888888888889/5000000000000000) 83333333333333/1000000000000000) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (fma.f64 z (fma.f64 7936500793651/10000000000000000 z -13888888888889/5000000000000000) 83333333333333/1000000000000000) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (fma.f64 z (fma.f64 7936500793651/10000000000000000 z -13888888888889/5000000000000000) 83333333333333/1000000000000000) x)) (pow.f64 (cbrt.f64 (/.f64 (fma.f64 z (fma.f64 7936500793651/10000000000000000 z -13888888888889/5000000000000000) 83333333333333/1000000000000000) x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (fma.f64 z (fma.f64 7936500793651/10000000000000000 z -13888888888889/5000000000000000) 83333333333333/1000000000000000) x)) 2) (cbrt.f64 (/.f64 (fma.f64 z (fma.f64 7936500793651/10000000000000000 z -13888888888889/5000000000000000) 83333333333333/1000000000000000) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 z (fma.f64 7936500793651/10000000000000000 z -13888888888889/5000000000000000) 83333333333333/1000000000000000)) 2) (*.f64 (cbrt.f64 (fma.f64 z (fma.f64 7936500793651/10000000000000000 z -13888888888889/5000000000000000) 83333333333333/1000000000000000)) (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (fma.f64 z (fma.f64 7936500793651/10000000000000000 z -13888888888889/5000000000000000) 83333333333333/1000000000000000) x)) (sqrt.f64 (/.f64 (fma.f64 z (fma.f64 7936500793651/10000000000000000 z -13888888888889/5000000000000000) 83333333333333/1000000000000000) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 z (fma.f64 7936500793651/10000000000000000 z -13888888888889/5000000000000000) 83333333333333/1000000000000000)) (*.f64 (sqrt.f64 (fma.f64 z (fma.f64 7936500793651/10000000000000000 z -13888888888889/5000000000000000) 83333333333333/1000000000000000)) (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (fma.f64 z (fma.f64 7936500793651/10000000000000000 z -13888888888889/5000000000000000) 83333333333333/1000000000000000)) (/.f64 1 (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 x) (fma.f64 z (fma.f64 7936500793651/10000000000000000 z -13888888888889/5000000000000000) 83333333333333/1000000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 z (fma.f64 7936500793651/10000000000000000 z -13888888888889/5000000000000000) 83333333333333/1000000000000000)) 2) 1) (/.f64 (cbrt.f64 (fma.f64 z (fma.f64 7936500793651/10000000000000000 z -13888888888889/5000000000000000) 83333333333333/1000000000000000)) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (fma.f64 z (fma.f64 7936500793651/10000000000000000 z -13888888888889/5000000000000000) 83333333333333/1000000000000000)) 1) (/.f64 (sqrt.f64 (fma.f64 z (fma.f64 7936500793651/10000000000000000 z -13888888888889/5000000000000000) 83333333333333/1000000000000000)) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (fma.f64 z (fma.f64 7936500793651/10000000000000000 z -13888888888889/5000000000000000) 83333333333333/1000000000000000) (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 z (fma.f64 7936500793651/10000000000000000 z -13888888888889/5000000000000000) 83333333333333/1000000000000000)) 2) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (/.f64 (fma.f64 z (fma.f64 7936500793651/10000000000000000 z -13888888888889/5000000000000000) 83333333333333/1000000000000000) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (fma.f64 z (fma.f64 7936500793651/10000000000000000 z -13888888888889/5000000000000000) 83333333333333/1000000000000000)) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (sqrt.f64 (fma.f64 z (fma.f64 7936500793651/10000000000000000 z -13888888888889/5000000000000000) 83333333333333/1000000000000000)) (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 (fma.f64 z (fma.f64 7936500793651/10000000000000000 z -13888888888889/5000000000000000) 83333333333333/1000000000000000) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 z (fma.f64 7936500793651/10000000000000000 z -13888888888889/5000000000000000) 83333333333333/1000000000000000)) 2) (sqrt.f64 x)) (/.f64 (cbrt.f64 (fma.f64 z (fma.f64 7936500793651/10000000000000000 z -13888888888889/5000000000000000) 83333333333333/1000000000000000)) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 z (fma.f64 7936500793651/10000000000000000 z -13888888888889/5000000000000000) 83333333333333/1000000000000000) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (fma.f64 z (fma.f64 7936500793651/10000000000000000 z -13888888888889/5000000000000000) 83333333333333/1000000000000000) x) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (fma.f64 z (fma.f64 7936500793651/10000000000000000 z -13888888888889/5000000000000000) 83333333333333/1000000000000000) x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (fma.f64 z (fma.f64 7936500793651/10000000000000000 z -13888888888889/5000000000000000) 83333333333333/1000000000000000) x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (fma.f64 z (fma.f64 7936500793651/10000000000000000 z -13888888888889/5000000000000000) 83333333333333/1000000000000000) x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 x (fma.f64 z (fma.f64 7936500793651/10000000000000000 z -13888888888889/5000000000000000) 83333333333333/1000000000000000)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 (fma.f64 z (fma.f64 7936500793651/10000000000000000 z -13888888888889/5000000000000000) 83333333333333/1000000000000000) 3) (pow.f64 x 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 x (fma.f64 z (fma.f64 7936500793651/10000000000000000 z -13888888888889/5000000000000000) 83333333333333/1000000000000000)) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (fma.f64 z (fma.f64 7936500793651/10000000000000000 z -13888888888889/5000000000000000) 83333333333333/1000000000000000) (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (fma.f64 z (fma.f64 7936500793651/10000000000000000 z -13888888888889/5000000000000000) 83333333333333/1000000000000000) x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (fma.f64 z (fma.f64 7936500793651/10000000000000000 z -13888888888889/5000000000000000) 83333333333333/1000000000000000) x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (fma.f64 z (fma.f64 7936500793651/10000000000000000 z -13888888888889/5000000000000000) 83333333333333/1000000000000000) x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (fma.f64 z (fma.f64 7936500793651/10000000000000000 z -13888888888889/5000000000000000) 83333333333333/1000000000000000) x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (fma.f64 z (fma.f64 7936500793651/10000000000000000 z -13888888888889/5000000000000000) 83333333333333/1000000000000000) 3) (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (fma.f64 z (fma.f64 7936500793651/10000000000000000 z -13888888888889/5000000000000000) 83333333333333/1000000000000000) x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (fma.f64 z (fma.f64 7936500793651/10000000000000000 z -13888888888889/5000000000000000) 83333333333333/1000000000000000) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (fma.f64 z (fma.f64 7936500793651/10000000000000000 z -13888888888889/5000000000000000) 83333333333333/1000000000000000) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (fma.f64 z (fma.f64 7936500793651/10000000000000000 z -13888888888889/5000000000000000) 83333333333333/1000000000000000) x)) 1))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 7936500793651/10000000000000000 (*.f64 z z)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 7936500793651/10000000000000000) (*.f64 z z))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 7936500793651/10000000000000000) (*.f64 z z)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 7936500793651/10000000000000000) (*.f64 z z)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 7936500793651/10000000000000000) (*.f64 z z)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 7936500793651/10000000000000000 (*.f64 z z)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 7936500793651/10000000000000000 (*.f64 z z)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 62988044847622952881909801/100000000000000000000000000000000 (pow.f64 z 4)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 7936500793651/10000000000000000 (*.f64 z z))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 z (sqrt.f64 7936500793651/10000000000000000)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 499904667923684346908081313317095473451/1000000000000000000000000000000000000000000000000 (pow.f64 (*.f64 z z) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 62988044847622952881909801/100000000000000000000000000000000 (pow.f64 z 4)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 7936500793651/10000000000000000) (*.f64 z z)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 7936500793651/10000000000000000 (*.f64 z z)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 499904667923684346908081313317095473451/1000000000000000000000000000000000000000000000000 (pow.f64 (*.f64 z z) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 7936500793651/10000000000000000 (*.f64 z z))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 7936500793651/10000000000000000 (*.f64 z z))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (fma.f64 2 (log.f64 z) (log1p.f64 -9992063499206349/10000000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (fma.f64 2 (log.f64 z) (log1p.f64 -9992063499206349/10000000000000000)) 1))))))

simplify95.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

862×	`associate-*l/_binary64`
851×	`fma-def_binary64`
682×	`associate-*r/_binary64`
368×	`distribute-rgt-out_binary64`
282×	`sqr-pow_binary64`

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	25	497
1	56	483
2	99	459
3	173	423
4	372	387
5	1139	375
6	3076	375
7	4727	375
8	5088	375
9	5263	375
10	5443	375
11	5719	375
12	6051	375

Stop Event

1×	node limit

Counts

92 → 70

Calls

Call 1

Inputs
(/.f64 83333333333333/1000000000000000 x)
(+.f64 (.f64 83333333333333/1000000000000000 (/.f64 1 x)) (.f64 -13888888888889/5000000000000000 (/.f64 z x)))
(+.f64 (.f64 7936500793651/10000000000000000 (/.f64 (pow.f64 z 2) x)) (+.f64 (.f64 83333333333333/1000000000000000 (/.f64 1 x)) (*.f64 -13888888888889/5000000000000000 (/.f64 z x))))
(+.f64 (.f64 7936500793651/10000000000000000 (/.f64 (pow.f64 z 2) x)) (+.f64 (.f64 83333333333333/1000000000000000 (/.f64 1 x)) (*.f64 -13888888888889/5000000000000000 (/.f64 z x))))
(*.f64 7936500793651/10000000000000000 (/.f64 (pow.f64 z 2) x))
(+.f64 (.f64 7936500793651/10000000000000000 (/.f64 (pow.f64 z 2) x)) (.f64 -13888888888889/5000000000000000 (/.f64 z x)))
(+.f64 (.f64 83333333333333/1000000000000000 (/.f64 1 x)) (+.f64 (.f64 7936500793651/10000000000000000 (/.f64 (pow.f64 z 2) x)) (*.f64 -13888888888889/5000000000000000 (/.f64 z x))))
(+.f64 (.f64 83333333333333/1000000000000000 (/.f64 1 x)) (+.f64 (.f64 7936500793651/10000000000000000 (/.f64 (pow.f64 z 2) x)) (*.f64 -13888888888889/5000000000000000 (/.f64 z x))))
(*.f64 7936500793651/10000000000000000 (/.f64 (pow.f64 z 2) x))
(+.f64 (.f64 7936500793651/10000000000000000 (/.f64 (pow.f64 z 2) x)) (.f64 -13888888888889/5000000000000000 (/.f64 z x)))
(+.f64 (.f64 83333333333333/1000000000000000 (/.f64 1 x)) (+.f64 (.f64 7936500793651/10000000000000000 (/.f64 (pow.f64 z 2) x)) (*.f64 -13888888888889/5000000000000000 (/.f64 z x))))
(+.f64 (.f64 83333333333333/1000000000000000 (/.f64 1 x)) (+.f64 (.f64 7936500793651/10000000000000000 (/.f64 (pow.f64 z 2) x)) (*.f64 -13888888888889/5000000000000000 (/.f64 z x))))
(/.f64 (+.f64 83333333333333/1000000000000000 (+.f64 (.f64 7936500793651/10000000000000000 (pow.f64 z 2)) (.f64 -13888888888889/5000000000000000 z))) x)
(/.f64 (+.f64 83333333333333/1000000000000000 (+.f64 (.f64 7936500793651/10000000000000000 (pow.f64 z 2)) (.f64 -13888888888889/5000000000000000 z))) x)
(/.f64 (+.f64 83333333333333/1000000000000000 (+.f64 (.f64 7936500793651/10000000000000000 (pow.f64 z 2)) (.f64 -13888888888889/5000000000000000 z))) x)
(/.f64 (+.f64 83333333333333/1000000000000000 (+.f64 (.f64 7936500793651/10000000000000000 (pow.f64 z 2)) (.f64 -13888888888889/5000000000000000 z))) x)
(/.f64 (+.f64 83333333333333/1000000000000000 (+.f64 (.f64 7936500793651/10000000000000000 (pow.f64 z 2)) (.f64 -13888888888889/5000000000000000 z))) x)
(/.f64 (+.f64 83333333333333/1000000000000000 (+.f64 (.f64 7936500793651/10000000000000000 (pow.f64 z 2)) (.f64 -13888888888889/5000000000000000 z))) x)
(/.f64 (+.f64 83333333333333/1000000000000000 (+.f64 (.f64 7936500793651/10000000000000000 (pow.f64 z 2)) (.f64 -13888888888889/5000000000000000 z))) x)
(/.f64 (+.f64 83333333333333/1000000000000000 (+.f64 (.f64 7936500793651/10000000000000000 (pow.f64 z 2)) (.f64 -13888888888889/5000000000000000 z))) x)
(/.f64 (+.f64 83333333333333/1000000000000000 (+.f64 (.f64 7936500793651/10000000000000000 (pow.f64 z 2)) (.f64 -13888888888889/5000000000000000 z))) x)
(/.f64 (+.f64 83333333333333/1000000000000000 (+.f64 (.f64 7936500793651/10000000000000000 (pow.f64 z 2)) (.f64 -13888888888889/5000000000000000 z))) x)
(/.f64 (+.f64 83333333333333/1000000000000000 (+.f64 (.f64 7936500793651/10000000000000000 (pow.f64 z 2)) (.f64 -13888888888889/5000000000000000 z))) x)
(/.f64 (+.f64 83333333333333/1000000000000000 (+.f64 (.f64 7936500793651/10000000000000000 (pow.f64 z 2)) (.f64 -13888888888889/5000000000000000 z))) x)
(*.f64 7936500793651/10000000000000000 (pow.f64 z 2))
(*.f64 7936500793651/10000000000000000 (pow.f64 z 2))
(*.f64 7936500793651/10000000000000000 (pow.f64 z 2))
(*.f64 7936500793651/10000000000000000 (pow.f64 z 2))
(*.f64 7936500793651/10000000000000000 (pow.f64 z 2))
(*.f64 7936500793651/10000000000000000 (pow.f64 z 2))
(*.f64 7936500793651/10000000000000000 (pow.f64 z 2))
(*.f64 7936500793651/10000000000000000 (pow.f64 z 2))
(*.f64 7936500793651/10000000000000000 (pow.f64 z 2))
(*.f64 7936500793651/10000000000000000 (pow.f64 z 2))
(*.f64 7936500793651/10000000000000000 (pow.f64 z 2))
(*.f64 7936500793651/10000000000000000 (pow.f64 z 2))

Outputs
(/.f64 83333333333333/1000000000000000 x)
(+.f64 (.f64 83333333333333/1000000000000000 (/.f64 1 x)) (.f64 -13888888888889/5000000000000000 (/.f64 z x)))
(+.f64 (/.f64 83333333333333/1000000000000000 x) (*.f64 -13888888888889/5000000000000000 (/.f64 z x)))
(fma.f64 -13888888888889/5000000000000000 (/.f64 z x) (/.f64 83333333333333/1000000000000000 x))
(+.f64 (.f64 7936500793651/10000000000000000 (/.f64 (pow.f64 z 2) x)) (+.f64 (.f64 83333333333333/1000000000000000 (/.f64 1 x)) (*.f64 -13888888888889/5000000000000000 (/.f64 z x))))
(fma.f64 7936500793651/10000000000000000 (/.f64 (.f64 z z) x) (+.f64 (/.f64 83333333333333/1000000000000000 x) (.f64 -13888888888889/5000000000000000 (/.f64 z x))))
(fma.f64 7936500793651/10000000000000000 (/.f64 z (/.f64 x z)) (fma.f64 -13888888888889/5000000000000000 (/.f64 z x) (/.f64 83333333333333/1000000000000000 x)))
(fma.f64 -13888888888889/5000000000000000 (/.f64 z x) (fma.f64 7936500793651/10000000000000000 (*.f64 (/.f64 z x) z) (/.f64 83333333333333/1000000000000000 x)))
(fma.f64 -13888888888889/5000000000000000 (/.f64 z x) (fma.f64 7936500793651/10000000000000000 (*.f64 z (/.f64 z x)) (/.f64 83333333333333/1000000000000000 x)))
(+.f64 (/.f64 83333333333333/1000000000000000 x) (*.f64 (/.f64 z x) (fma.f64 z 7936500793651/10000000000000000 -13888888888889/5000000000000000)))
(fma.f64 (/.f64 z x) (fma.f64 z 7936500793651/10000000000000000 -13888888888889/5000000000000000) (/.f64 83333333333333/1000000000000000 x))
(+.f64 (.f64 7936500793651/10000000000000000 (/.f64 (pow.f64 z 2) x)) (+.f64 (.f64 83333333333333/1000000000000000 (/.f64 1 x)) (*.f64 -13888888888889/5000000000000000 (/.f64 z x))))
(fma.f64 7936500793651/10000000000000000 (/.f64 (.f64 z z) x) (+.f64 (/.f64 83333333333333/1000000000000000 x) (.f64 -13888888888889/5000000000000000 (/.f64 z x))))
(fma.f64 7936500793651/10000000000000000 (/.f64 z (/.f64 x z)) (fma.f64 -13888888888889/5000000000000000 (/.f64 z x) (/.f64 83333333333333/1000000000000000 x)))
(fma.f64 -13888888888889/5000000000000000 (/.f64 z x) (fma.f64 7936500793651/10000000000000000 (*.f64 (/.f64 z x) z) (/.f64 83333333333333/1000000000000000 x)))
(fma.f64 -13888888888889/5000000000000000 (/.f64 z x) (fma.f64 7936500793651/10000000000000000 (*.f64 z (/.f64 z x)) (/.f64 83333333333333/1000000000000000 x)))
(+.f64 (/.f64 83333333333333/1000000000000000 x) (*.f64 (/.f64 z x) (fma.f64 z 7936500793651/10000000000000000 -13888888888889/5000000000000000)))
(fma.f64 (/.f64 z x) (fma.f64 z 7936500793651/10000000000000000 -13888888888889/5000000000000000) (/.f64 83333333333333/1000000000000000 x))
(*.f64 7936500793651/10000000000000000 (/.f64 (pow.f64 z 2) x))
(.f64 7936500793651/10000000000000000 (/.f64 (.f64 z z) x))
(*.f64 7936500793651/10000000000000000 (/.f64 z (/.f64 x z)))
(.f64 7936500793651/10000000000000000 (.f64 (/.f64 z x) z))
(.f64 (/.f64 z x) (.f64 z 7936500793651/10000000000000000))
(.f64 z (.f64 z (/.f64 7936500793651/10000000000000000 x)))
(+.f64 (.f64 7936500793651/10000000000000000 (/.f64 (pow.f64 z 2) x)) (.f64 -13888888888889/5000000000000000 (/.f64 z x)))
(fma.f64 7936500793651/10000000000000000 (/.f64 (.f64 z z) x) (.f64 -13888888888889/5000000000000000 (/.f64 z x)))
(fma.f64 -13888888888889/5000000000000000 (/.f64 z x) (*.f64 7936500793651/10000000000000000 (/.f64 z (/.f64 x z))))
(fma.f64 -13888888888889/5000000000000000 (/.f64 z x) (.f64 7936500793651/10000000000000000 (.f64 (/.f64 z x) z)))
(fma.f64 -13888888888889/5000000000000000 (/.f64 z x) (.f64 (/.f64 z x) (.f64 z 7936500793651/10000000000000000)))
(*.f64 (/.f64 z x) (fma.f64 z 7936500793651/10000000000000000 -13888888888889/5000000000000000))
(+.f64 (.f64 83333333333333/1000000000000000 (/.f64 1 x)) (+.f64 (.f64 7936500793651/10000000000000000 (/.f64 (pow.f64 z 2) x)) (*.f64 -13888888888889/5000000000000000 (/.f64 z x))))
(fma.f64 7936500793651/10000000000000000 (/.f64 (.f64 z z) x) (+.f64 (/.f64 83333333333333/1000000000000000 x) (.f64 -13888888888889/5000000000000000 (/.f64 z x))))
(fma.f64 7936500793651/10000000000000000 (/.f64 z (/.f64 x z)) (fma.f64 -13888888888889/5000000000000000 (/.f64 z x) (/.f64 83333333333333/1000000000000000 x)))
(fma.f64 -13888888888889/5000000000000000 (/.f64 z x) (fma.f64 7936500793651/10000000000000000 (*.f64 (/.f64 z x) z) (/.f64 83333333333333/1000000000000000 x)))
(fma.f64 -13888888888889/5000000000000000 (/.f64 z x) (fma.f64 7936500793651/10000000000000000 (*.f64 z (/.f64 z x)) (/.f64 83333333333333/1000000000000000 x)))
(+.f64 (/.f64 83333333333333/1000000000000000 x) (*.f64 (/.f64 z x) (fma.f64 z 7936500793651/10000000000000000 -13888888888889/5000000000000000)))
(fma.f64 (/.f64 z x) (fma.f64 z 7936500793651/10000000000000000 -13888888888889/5000000000000000) (/.f64 83333333333333/1000000000000000 x))
(+.f64 (.f64 83333333333333/1000000000000000 (/.f64 1 x)) (+.f64 (.f64 7936500793651/10000000000000000 (/.f64 (pow.f64 z 2) x)) (*.f64 -13888888888889/5000000000000000 (/.f64 z x))))
(fma.f64 7936500793651/10000000000000000 (/.f64 (.f64 z z) x) (+.f64 (/.f64 83333333333333/1000000000000000 x) (.f64 -13888888888889/5000000000000000 (/.f64 z x))))
(fma.f64 7936500793651/10000000000000000 (/.f64 z (/.f64 x z)) (fma.f64 -13888888888889/5000000000000000 (/.f64 z x) (/.f64 83333333333333/1000000000000000 x)))
(fma.f64 -13888888888889/5000000000000000 (/.f64 z x) (fma.f64 7936500793651/10000000000000000 (*.f64 (/.f64 z x) z) (/.f64 83333333333333/1000000000000000 x)))
(fma.f64 -13888888888889/5000000000000000 (/.f64 z x) (fma.f64 7936500793651/10000000000000000 (*.f64 z (/.f64 z x)) (/.f64 83333333333333/1000000000000000 x)))
(+.f64 (/.f64 83333333333333/1000000000000000 x) (*.f64 (/.f64 z x) (fma.f64 z 7936500793651/10000000000000000 -13888888888889/5000000000000000)))
(fma.f64 (/.f64 z x) (fma.f64 z 7936500793651/10000000000000000 -13888888888889/5000000000000000) (/.f64 83333333333333/1000000000000000 x))
(*.f64 7936500793651/10000000000000000 (/.f64 (pow.f64 z 2) x))
(.f64 7936500793651/10000000000000000 (/.f64 (.f64 z z) x))
(*.f64 7936500793651/10000000000000000 (/.f64 z (/.f64 x z)))
(.f64 7936500793651/10000000000000000 (.f64 (/.f64 z x) z))
(.f64 (/.f64 z x) (.f64 z 7936500793651/10000000000000000))
(.f64 z (.f64 z (/.f64 7936500793651/10000000000000000 x)))
(+.f64 (.f64 7936500793651/10000000000000000 (/.f64 (pow.f64 z 2) x)) (.f64 -13888888888889/5000000000000000 (/.f64 z x)))
(fma.f64 7936500793651/10000000000000000 (/.f64 (.f64 z z) x) (.f64 -13888888888889/5000000000000000 (/.f64 z x)))
(fma.f64 -13888888888889/5000000000000000 (/.f64 z x) (*.f64 7936500793651/10000000000000000 (/.f64 z (/.f64 x z))))
(fma.f64 -13888888888889/5000000000000000 (/.f64 z x) (.f64 7936500793651/10000000000000000 (.f64 (/.f64 z x) z)))
(fma.f64 -13888888888889/5000000000000000 (/.f64 z x) (.f64 (/.f64 z x) (.f64 z 7936500793651/10000000000000000)))
(*.f64 (/.f64 z x) (fma.f64 z 7936500793651/10000000000000000 -13888888888889/5000000000000000))
(+.f64 (.f64 83333333333333/1000000000000000 (/.f64 1 x)) (+.f64 (.f64 7936500793651/10000000000000000 (/.f64 (pow.f64 z 2) x)) (*.f64 -13888888888889/5000000000000000 (/.f64 z x))))
(fma.f64 7936500793651/10000000000000000 (/.f64 (.f64 z z) x) (+.f64 (/.f64 83333333333333/1000000000000000 x) (.f64 -13888888888889/5000000000000000 (/.f64 z x))))
(fma.f64 7936500793651/10000000000000000 (/.f64 z (/.f64 x z)) (fma.f64 -13888888888889/5000000000000000 (/.f64 z x) (/.f64 83333333333333/1000000000000000 x)))
(fma.f64 -13888888888889/5000000000000000 (/.f64 z x) (fma.f64 7936500793651/10000000000000000 (*.f64 (/.f64 z x) z) (/.f64 83333333333333/1000000000000000 x)))
(fma.f64 -13888888888889/5000000000000000 (/.f64 z x) (fma.f64 7936500793651/10000000000000000 (*.f64 z (/.f64 z x)) (/.f64 83333333333333/1000000000000000 x)))
(+.f64 (/.f64 83333333333333/1000000000000000 x) (*.f64 (/.f64 z x) (fma.f64 z 7936500793651/10000000000000000 -13888888888889/5000000000000000)))
(fma.f64 (/.f64 z x) (fma.f64 z 7936500793651/10000000000000000 -13888888888889/5000000000000000) (/.f64 83333333333333/1000000000000000 x))
(+.f64 (.f64 83333333333333/1000000000000000 (/.f64 1 x)) (+.f64 (.f64 7936500793651/10000000000000000 (/.f64 (pow.f64 z 2) x)) (*.f64 -13888888888889/5000000000000000 (/.f64 z x))))
(fma.f64 7936500793651/10000000000000000 (/.f64 (.f64 z z) x) (+.f64 (/.f64 83333333333333/1000000000000000 x) (.f64 -13888888888889/5000000000000000 (/.f64 z x))))
(fma.f64 7936500793651/10000000000000000 (/.f64 z (/.f64 x z)) (fma.f64 -13888888888889/5000000000000000 (/.f64 z x) (/.f64 83333333333333/1000000000000000 x)))
(fma.f64 -13888888888889/5000000000000000 (/.f64 z x) (fma.f64 7936500793651/10000000000000000 (*.f64 (/.f64 z x) z) (/.f64 83333333333333/1000000000000000 x)))
(fma.f64 -13888888888889/5000000000000000 (/.f64 z x) (fma.f64 7936500793651/10000000000000000 (*.f64 z (/.f64 z x)) (/.f64 83333333333333/1000000000000000 x)))
(+.f64 (/.f64 83333333333333/1000000000000000 x) (*.f64 (/.f64 z x) (fma.f64 z 7936500793651/10000000000000000 -13888888888889/5000000000000000)))
(fma.f64 (/.f64 z x) (fma.f64 z 7936500793651/10000000000000000 -13888888888889/5000000000000000) (/.f64 83333333333333/1000000000000000 x))
(/.f64 (+.f64 83333333333333/1000000000000000 (+.f64 (.f64 7936500793651/10000000000000000 (pow.f64 z 2)) (.f64 -13888888888889/5000000000000000 z))) x)
(/.f64 (+.f64 83333333333333/1000000000000000 (fma.f64 7936500793651/10000000000000000 (.f64 z z) (.f64 -13888888888889/5000000000000000 z))) x)
(/.f64 (+.f64 83333333333333/1000000000000000 (fma.f64 -13888888888889/5000000000000000 z (.f64 z (.f64 z 7936500793651/10000000000000000)))) x)
(/.f64 (fma.f64 -13888888888889/5000000000000000 z (fma.f64 z (*.f64 z 7936500793651/10000000000000000) 83333333333333/1000000000000000)) x)
(/.f64 (fma.f64 z (fma.f64 z 7936500793651/10000000000000000 -13888888888889/5000000000000000) 83333333333333/1000000000000000) x)
(/.f64 (+.f64 83333333333333/1000000000000000 (+.f64 (.f64 7936500793651/10000000000000000 (pow.f64 z 2)) (.f64 -13888888888889/5000000000000000 z))) x)
(/.f64 (+.f64 83333333333333/1000000000000000 (fma.f64 7936500793651/10000000000000000 (.f64 z z) (.f64 -13888888888889/5000000000000000 z))) x)
(/.f64 (+.f64 83333333333333/1000000000000000 (fma.f64 -13888888888889/5000000000000000 z (.f64 z (.f64 z 7936500793651/10000000000000000)))) x)
(/.f64 (fma.f64 -13888888888889/5000000000000000 z (fma.f64 z (*.f64 z 7936500793651/10000000000000000) 83333333333333/1000000000000000)) x)
(/.f64 (fma.f64 z (fma.f64 z 7936500793651/10000000000000000 -13888888888889/5000000000000000) 83333333333333/1000000000000000) x)
(/.f64 (+.f64 83333333333333/1000000000000000 (+.f64 (.f64 7936500793651/10000000000000000 (pow.f64 z 2)) (.f64 -13888888888889/5000000000000000 z))) x)
(/.f64 (+.f64 83333333333333/1000000000000000 (fma.f64 7936500793651/10000000000000000 (.f64 z z) (.f64 -13888888888889/5000000000000000 z))) x)
(/.f64 (+.f64 83333333333333/1000000000000000 (fma.f64 -13888888888889/5000000000000000 z (.f64 z (.f64 z 7936500793651/10000000000000000)))) x)
(/.f64 (fma.f64 -13888888888889/5000000000000000 z (fma.f64 z (*.f64 z 7936500793651/10000000000000000) 83333333333333/1000000000000000)) x)
(/.f64 (fma.f64 z (fma.f64 z 7936500793651/10000000000000000 -13888888888889/5000000000000000) 83333333333333/1000000000000000) x)
(/.f64 (+.f64 83333333333333/1000000000000000 (+.f64 (.f64 7936500793651/10000000000000000 (pow.f64 z 2)) (.f64 -13888888888889/5000000000000000 z))) x)
(/.f64 (+.f64 83333333333333/1000000000000000 (fma.f64 7936500793651/10000000000000000 (.f64 z z) (.f64 -13888888888889/5000000000000000 z))) x)
(/.f64 (+.f64 83333333333333/1000000000000000 (fma.f64 -13888888888889/5000000000000000 z (.f64 z (.f64 z 7936500793651/10000000000000000)))) x)
(/.f64 (fma.f64 -13888888888889/5000000000000000 z (fma.f64 z (*.f64 z 7936500793651/10000000000000000) 83333333333333/1000000000000000)) x)
(/.f64 (fma.f64 z (fma.f64 z 7936500793651/10000000000000000 -13888888888889/5000000000000000) 83333333333333/1000000000000000) x)
(/.f64 (+.f64 83333333333333/1000000000000000 (+.f64 (.f64 7936500793651/10000000000000000 (pow.f64 z 2)) (.f64 -13888888888889/5000000000000000 z))) x)
(/.f64 (+.f64 83333333333333/1000000000000000 (fma.f64 7936500793651/10000000000000000 (.f64 z z) (.f64 -13888888888889/5000000000000000 z))) x)
(/.f64 (+.f64 83333333333333/1000000000000000 (fma.f64 -13888888888889/5000000000000000 z (.f64 z (.f64 z 7936500793651/10000000000000000)))) x)
(/.f64 (fma.f64 -13888888888889/5000000000000000 z (fma.f64 z (*.f64 z 7936500793651/10000000000000000) 83333333333333/1000000000000000)) x)
(/.f64 (fma.f64 z (fma.f64 z 7936500793651/10000000000000000 -13888888888889/5000000000000000) 83333333333333/1000000000000000) x)
(/.f64 (+.f64 83333333333333/1000000000000000 (+.f64 (.f64 7936500793651/10000000000000000 (pow.f64 z 2)) (.f64 -13888888888889/5000000000000000 z))) x)
(/.f64 (+.f64 83333333333333/1000000000000000 (fma.f64 7936500793651/10000000000000000 (.f64 z z) (.f64 -13888888888889/5000000000000000 z))) x)
(/.f64 (+.f64 83333333333333/1000000000000000 (fma.f64 -13888888888889/5000000000000000 z (.f64 z (.f64 z 7936500793651/10000000000000000)))) x)
(/.f64 (fma.f64 -13888888888889/5000000000000000 z (fma.f64 z (*.f64 z 7936500793651/10000000000000000) 83333333333333/1000000000000000)) x)
(/.f64 (fma.f64 z (fma.f64 z 7936500793651/10000000000000000 -13888888888889/5000000000000000) 83333333333333/1000000000000000) x)
(/.f64 (+.f64 83333333333333/1000000000000000 (+.f64 (.f64 7936500793651/10000000000000000 (pow.f64 z 2)) (.f64 -13888888888889/5000000000000000 z))) x)
(/.f64 (+.f64 83333333333333/1000000000000000 (fma.f64 7936500793651/10000000000000000 (.f64 z z) (.f64 -13888888888889/5000000000000000 z))) x)
(/.f64 (+.f64 83333333333333/1000000000000000 (fma.f64 -13888888888889/5000000000000000 z (.f64 z (.f64 z 7936500793651/10000000000000000)))) x)
(/.f64 (fma.f64 -13888888888889/5000000000000000 z (fma.f64 z (*.f64 z 7936500793651/10000000000000000) 83333333333333/1000000000000000)) x)
(/.f64 (fma.f64 z (fma.f64 z 7936500793651/10000000000000000 -13888888888889/5000000000000000) 83333333333333/1000000000000000) x)
(/.f64 (+.f64 83333333333333/1000000000000000 (+.f64 (.f64 7936500793651/10000000000000000 (pow.f64 z 2)) (.f64 -13888888888889/5000000000000000 z))) x)
(/.f64 (+.f64 83333333333333/1000000000000000 (fma.f64 7936500793651/10000000000000000 (.f64 z z) (.f64 -13888888888889/5000000000000000 z))) x)
(/.f64 (+.f64 83333333333333/1000000000000000 (fma.f64 -13888888888889/5000000000000000 z (.f64 z (.f64 z 7936500793651/10000000000000000)))) x)
(/.f64 (fma.f64 -13888888888889/5000000000000000 z (fma.f64 z (*.f64 z 7936500793651/10000000000000000) 83333333333333/1000000000000000)) x)
(/.f64 (fma.f64 z (fma.f64 z 7936500793651/10000000000000000 -13888888888889/5000000000000000) 83333333333333/1000000000000000) x)
(/.f64 (+.f64 83333333333333/1000000000000000 (+.f64 (.f64 7936500793651/10000000000000000 (pow.f64 z 2)) (.f64 -13888888888889/5000000000000000 z))) x)
(/.f64 (+.f64 83333333333333/1000000000000000 (fma.f64 7936500793651/10000000000000000 (.f64 z z) (.f64 -13888888888889/5000000000000000 z))) x)
(/.f64 (+.f64 83333333333333/1000000000000000 (fma.f64 -13888888888889/5000000000000000 z (.f64 z (.f64 z 7936500793651/10000000000000000)))) x)
(/.f64 (fma.f64 -13888888888889/5000000000000000 z (fma.f64 z (*.f64 z 7936500793651/10000000000000000) 83333333333333/1000000000000000)) x)
(/.f64 (fma.f64 z (fma.f64 z 7936500793651/10000000000000000 -13888888888889/5000000000000000) 83333333333333/1000000000000000) x)
(/.f64 (+.f64 83333333333333/1000000000000000 (+.f64 (.f64 7936500793651/10000000000000000 (pow.f64 z 2)) (.f64 -13888888888889/5000000000000000 z))) x)
(/.f64 (+.f64 83333333333333/1000000000000000 (fma.f64 7936500793651/10000000000000000 (.f64 z z) (.f64 -13888888888889/5000000000000000 z))) x)
(/.f64 (+.f64 83333333333333/1000000000000000 (fma.f64 -13888888888889/5000000000000000 z (.f64 z (.f64 z 7936500793651/10000000000000000)))) x)
(/.f64 (fma.f64 -13888888888889/5000000000000000 z (fma.f64 z (*.f64 z 7936500793651/10000000000000000) 83333333333333/1000000000000000)) x)
(/.f64 (fma.f64 z (fma.f64 z 7936500793651/10000000000000000 -13888888888889/5000000000000000) 83333333333333/1000000000000000) x)
(/.f64 (+.f64 83333333333333/1000000000000000 (+.f64 (.f64 7936500793651/10000000000000000 (pow.f64 z 2)) (.f64 -13888888888889/5000000000000000 z))) x)
(/.f64 (+.f64 83333333333333/1000000000000000 (fma.f64 7936500793651/10000000000000000 (.f64 z z) (.f64 -13888888888889/5000000000000000 z))) x)
(/.f64 (+.f64 83333333333333/1000000000000000 (fma.f64 -13888888888889/5000000000000000 z (.f64 z (.f64 z 7936500793651/10000000000000000)))) x)
(/.f64 (fma.f64 -13888888888889/5000000000000000 z (fma.f64 z (*.f64 z 7936500793651/10000000000000000) 83333333333333/1000000000000000)) x)
(/.f64 (fma.f64 z (fma.f64 z 7936500793651/10000000000000000 -13888888888889/5000000000000000) 83333333333333/1000000000000000) x)
(/.f64 (+.f64 83333333333333/1000000000000000 (+.f64 (.f64 7936500793651/10000000000000000 (pow.f64 z 2)) (.f64 -13888888888889/5000000000000000 z))) x)
(/.f64 (+.f64 83333333333333/1000000000000000 (fma.f64 7936500793651/10000000000000000 (.f64 z z) (.f64 -13888888888889/5000000000000000 z))) x)
(/.f64 (+.f64 83333333333333/1000000000000000 (fma.f64 -13888888888889/5000000000000000 z (.f64 z (.f64 z 7936500793651/10000000000000000)))) x)
(/.f64 (fma.f64 -13888888888889/5000000000000000 z (fma.f64 z (*.f64 z 7936500793651/10000000000000000) 83333333333333/1000000000000000)) x)
(/.f64 (fma.f64 z (fma.f64 z 7936500793651/10000000000000000 -13888888888889/5000000000000000) 83333333333333/1000000000000000) x)
(*.f64 7936500793651/10000000000000000 (pow.f64 z 2))
(.f64 7936500793651/10000000000000000 (.f64 z z))
(.f64 z (.f64 z 7936500793651/10000000000000000))
(*.f64 7936500793651/10000000000000000 (pow.f64 z 2))
(.f64 7936500793651/10000000000000000 (.f64 z z))
(.f64 z (.f64 z 7936500793651/10000000000000000))
(*.f64 7936500793651/10000000000000000 (pow.f64 z 2))
(.f64 7936500793651/10000000000000000 (.f64 z z))
(.f64 z (.f64 z 7936500793651/10000000000000000))
(*.f64 7936500793651/10000000000000000 (pow.f64 z 2))
(.f64 7936500793651/10000000000000000 (.f64 z z))
(.f64 z (.f64 z 7936500793651/10000000000000000))
(*.f64 7936500793651/10000000000000000 (pow.f64 z 2))
(.f64 7936500793651/10000000000000000 (.f64 z z))
(.f64 z (.f64 z 7936500793651/10000000000000000))
(*.f64 7936500793651/10000000000000000 (pow.f64 z 2))
(.f64 7936500793651/10000000000000000 (.f64 z z))
(.f64 z (.f64 z 7936500793651/10000000000000000))
(*.f64 7936500793651/10000000000000000 (pow.f64 z 2))
(.f64 7936500793651/10000000000000000 (.f64 z z))
(.f64 z (.f64 z 7936500793651/10000000000000000))
(*.f64 7936500793651/10000000000000000 (pow.f64 z 2))
(.f64 7936500793651/10000000000000000 (.f64 z z))
(.f64 z (.f64 z 7936500793651/10000000000000000))
(*.f64 7936500793651/10000000000000000 (pow.f64 z 2))
(.f64 7936500793651/10000000000000000 (.f64 z z))
(.f64 z (.f64 z 7936500793651/10000000000000000))
(*.f64 7936500793651/10000000000000000 (pow.f64 z 2))
(.f64 7936500793651/10000000000000000 (.f64 z z))
(.f64 z (.f64 z 7936500793651/10000000000000000))
(*.f64 7936500793651/10000000000000000 (pow.f64 z 2))
(.f64 7936500793651/10000000000000000 (.f64 z z))
(.f64 z (.f64 z 7936500793651/10000000000000000))
(*.f64 7936500793651/10000000000000000 (pow.f64 z 2))
(.f64 7936500793651/10000000000000000 (.f64 z z))
(.f64 z (.f64 z 7936500793651/10000000000000000))

localize11.0ms (0.1%)

Local error

Found 8 expressions with local error:

New	Error	Program
	0.2b	(-.f64 (pow.f64 (sqrt.f64 (*.f64 (+.f64 x -1/2) (log.f64 x))) 2) x)
	0.1b	(*.f64 (+.f64 x -1/2) (log.f64 x))
	0.1b	(+.f64 (-.f64 (pow.f64 (sqrt.f64 (*.f64 (+.f64 x -1/2) (log.f64 x))) 2) x) 91893853320467/100000000000000)
	0.1b	(sqrt.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)))
✓	0.1b	(*.f64 (+.f64 x -1/2) (log.f64 x))
✓	0.2b	(-.f64 (pow.f64 (sqrt.f64 (*.f64 (+.f64 x -1/2) (log.f64 x))) 2) x)
	0.3b	(/.f64 83333333333333/1000000000000000 x)
✓	0.5b	(pow.f64 (sqrt.f64 (*.f64 (+.f64 x -1/2) (log.f64 x))) 2)

series19.0ms (0.1%)

Counts

3 → 22

Calls

9 calls:

Time	Variable		Point	Expression
8.0ms	x	@	inf	(*.f64 (+.f64 x -1/2) (log.f64 x))
4.0ms	x	@	-inf	(pow.f64 (sqrt.f64 (*.f64 (+.f64 x -1/2) (log.f64 x))) 2)
3.0ms	x	@	inf	(pow.f64 (sqrt.f64 (*.f64 (+.f64 x -1/2) (log.f64 x))) 2)
2.0ms	x	@	0	(pow.f64 (sqrt.f64 (*.f64 (+.f64 x -1/2) (log.f64 x))) 2)
1.0ms	x	@	inf	(-.f64 (pow.f64 (sqrt.f64 (*.f64 (+.f64 x -1/2) (log.f64 x))) 2) x)

rewrite80.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

767×	`prod-diff_binary64`
434×	`log-prod_binary64`
315×	`fma-def_binary64`
311×	`pow-prod-down_binary64`
250×	`pow2_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	30
1	225	30
2	2631	30

Stop Event

1×	node limit

Counts

3 → 207

Calls

Call 1

Inputs
(pow.f64 (sqrt.f64 (*.f64 (+.f64 x -1/2) (log.f64 x))) 2)
(-.f64 (pow.f64 (sqrt.f64 (*.f64 (+.f64 x -1/2) (log.f64 x))) 2) x)
(*.f64 (+.f64 x -1/2) (log.f64 x))

Outputs

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((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (+.f64 x -1/2) (log.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (log.f64 x)) (*.f64 -1/2 (log.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 -1/2 (log.f64 x)) (*.f64 x (log.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (log.f64 x) x) (*.f64 (log.f64 x) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (log.f64 x) -1/2) (*.f64 (log.f64 x) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 x (+.f64 x -1/2))) 2)) (log.f64 (cbrt.f64 (pow.f64 x (+.f64 x -1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 x (+.f64 x -1/2)))) (log.f64 (sqrt.f64 (pow.f64 x (+.f64 x -1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 -1/8 (pow.f64 x 3)) (log.f64 x)) (-.f64 (fma.f64 x x 1/4) (*.f64 x -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (fma.f64 x x -1/4) (log.f64 x)) (+.f64 x 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (log.f64 x) (+.f64 -1/8 (pow.f64 x 3))) (-.f64 (fma.f64 x x 1/4) (*.f64 x -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (log.f64 x) (fma.f64 x x -1/4)) (+.f64 x 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (+.f64 x -1/2) (log.f64 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) 3/2) 2/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (+.f64 x -1/2) (log.f64 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) 1/6) 6)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) 1/4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 x (+.f64 x -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (-.f64 (pow.f64 x (+.f64 x -1/2)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (+.f64 x -1/2) (log.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x (log.f64 x) (*.f64 -1/2 (log.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1/2 (log.f64 x) (*.f64 x (log.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (log.f64 x) x (*.f64 (log.f64 x) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (log.f64 x) -1/2 (*.f64 (log.f64 x) x))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (-.f64 (pow.f64 x (+.f64 x -1/2)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (+.f64 x -1/2) (log.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (+.f64 x -1/2) (log.f64 x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 2 (log.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)))) 1/3))))))

simplify65.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

543×	`associate-l_binary64`
502×	`associate-r_binary64`
412×	`associate-+l+_binary64`
340×	`associate-+r+_binary64`
314×	`unsub-neg_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	57	323
1	154	197
2	423	186
3	1621	180
4	6451	180

Stop Event

1×	node limit

Counts

229 → 198

Calls

Call 1

Inputs
(*.f64 (pow.f64 (sqrt.f64 -1/2) 2) (log.f64 x))
(+.f64 (.f64 (log.f64 x) x) (.f64 (pow.f64 (sqrt.f64 -1/2) 2) (log.f64 x)))
(+.f64 (.f64 (log.f64 x) x) (+.f64 (.f64 (+.f64 (.f64 -1/4 (/.f64 (log.f64 x) (pow.f64 (sqrt.f64 -1/2) 2))) (.f64 1/4 (/.f64 (log.f64 x) (pow.f64 (sqrt.f64 -1/2) 2)))) (pow.f64 x 2)) (*.f64 (pow.f64 (sqrt.f64 -1/2) 2) (log.f64 x))))
(+.f64 (.f64 (+.f64 (.f64 -1/8 (/.f64 (log.f64 x) (pow.f64 (sqrt.f64 -1/2) 4))) (.f64 1/8 (/.f64 (log.f64 x) (pow.f64 (sqrt.f64 -1/2) 4)))) (pow.f64 x 3)) (+.f64 (.f64 (log.f64 x) x) (+.f64 (.f64 (+.f64 (.f64 -1/4 (/.f64 (log.f64 x) (pow.f64 (sqrt.f64 -1/2) 2))) (.f64 1/4 (/.f64 (log.f64 x) (pow.f64 (sqrt.f64 -1/2) 2)))) (pow.f64 x 2)) (.f64 (pow.f64 (sqrt.f64 -1/2) 2) (log.f64 x)))))
(*.f64 (pow.f64 (sqrt.f64 -1/2) 2) (log.f64 x))
(+.f64 (.f64 (pow.f64 (sqrt.f64 -1/2) 2) (log.f64 x)) (.f64 (-.f64 (log.f64 x) 1) x))
(+.f64 (.f64 (+.f64 (.f64 -1/4 (/.f64 (log.f64 x) (pow.f64 (sqrt.f64 -1/2) 2))) (.f64 1/4 (/.f64 (log.f64 x) (pow.f64 (sqrt.f64 -1/2) 2)))) (pow.f64 x 2)) (+.f64 (.f64 (pow.f64 (sqrt.f64 -1/2) 2) (log.f64 x)) (*.f64 (-.f64 (log.f64 x) 1) x)))
(+.f64 (.f64 (+.f64 (.f64 -1/8 (/.f64 (log.f64 x) (pow.f64 (sqrt.f64 -1/2) 4))) (.f64 1/8 (/.f64 (log.f64 x) (pow.f64 (sqrt.f64 -1/2) 4)))) (pow.f64 x 3)) (+.f64 (.f64 (+.f64 (.f64 -1/4 (/.f64 (log.f64 x) (pow.f64 (sqrt.f64 -1/2) 2))) (.f64 1/4 (/.f64 (log.f64 x) (pow.f64 (sqrt.f64 -1/2) 2)))) (pow.f64 x 2)) (+.f64 (.f64 (pow.f64 (sqrt.f64 -1/2) 2) (log.f64 x)) (.f64 (-.f64 (log.f64 x) 1) x))))
(*.f64 -1 x)
(*.f64 -1 x)
(*.f64 -1/2 (log.f64 x))
(+.f64 (.f64 -1/2 (log.f64 x)) (.f64 (log.f64 x) x))
(+.f64 (.f64 -1/2 (log.f64 x)) (.f64 (log.f64 x) x))
(+.f64 (.f64 -1/2 (log.f64 x)) (.f64 (log.f64 x) x))
(.f64 -1 (.f64 (log.f64 (/.f64 1 x)) x))
(+.f64 (.f64 -1 (.f64 (log.f64 (/.f64 1 x)) x)) (*.f64 1/2 (log.f64 (/.f64 1 x))))
(+.f64 (.f64 -1 (.f64 (log.f64 (/.f64 1 x)) x)) (*.f64 1/2 (log.f64 (/.f64 1 x))))
(+.f64 (.f64 -1 (.f64 (log.f64 (/.f64 1 x)) x)) (*.f64 1/2 (log.f64 (/.f64 1 x))))
(.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) x)
(+.f64 (.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) x) (.f64 -1/2 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))))
(+.f64 (.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) x) (.f64 -1/2 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))))
(+.f64 (.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) x) (.f64 -1/2 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))))

Outputs
(*.f64 (pow.f64 (sqrt.f64 -1/2) 2) (log.f64 x))
(*.f64 -1/2 (log.f64 x))
(+.f64 (.f64 (log.f64 x) x) (.f64 (pow.f64 (sqrt.f64 -1/2) 2) (log.f64 x)))
(fma.f64 (log.f64 x) x (*.f64 (pow.f64 (sqrt.f64 -1/2) 2) (log.f64 x)))
(*.f64 (log.f64 x) (+.f64 x -1/2))
(*.f64 (log.f64 x) (+.f64 -1/2 x))
(*.f64 (log.f64 x) (-.f64 x 1/2))
(+.f64 (.f64 (log.f64 x) x) (+.f64 (.f64 (+.f64 (.f64 -1/4 (/.f64 (log.f64 x) (pow.f64 (sqrt.f64 -1/2) 2))) (.f64 1/4 (/.f64 (log.f64 x) (pow.f64 (sqrt.f64 -1/2) 2)))) (pow.f64 x 2)) (*.f64 (pow.f64 (sqrt.f64 -1/2) 2) (log.f64 x))))
(fma.f64 (log.f64 x) x (*.f64 (pow.f64 (sqrt.f64 -1/2) 2) (log.f64 x)))
(*.f64 (log.f64 x) (+.f64 x -1/2))
(*.f64 (log.f64 x) (+.f64 -1/2 x))
(*.f64 (log.f64 x) (-.f64 x 1/2))
(+.f64 (.f64 (+.f64 (.f64 -1/8 (/.f64 (log.f64 x) (pow.f64 (sqrt.f64 -1/2) 4))) (.f64 1/8 (/.f64 (log.f64 x) (pow.f64 (sqrt.f64 -1/2) 4)))) (pow.f64 x 3)) (+.f64 (.f64 (log.f64 x) x) (+.f64 (.f64 (+.f64 (.f64 -1/4 (/.f64 (log.f64 x) (pow.f64 (sqrt.f64 -1/2) 2))) (.f64 1/4 (/.f64 (log.f64 x) (pow.f64 (sqrt.f64 -1/2) 2)))) (pow.f64 x 2)) (.f64 (pow.f64 (sqrt.f64 -1/2) 2) (log.f64 x)))))
(fma.f64 (log.f64 x) x (*.f64 (pow.f64 (sqrt.f64 -1/2) 2) (log.f64 x)))
(*.f64 (log.f64 x) (+.f64 x -1/2))
(*.f64 (log.f64 x) (+.f64 -1/2 x))
(*.f64 (log.f64 x) (-.f64 x 1/2))
(*.f64 (pow.f64 (sqrt.f64 -1/2) 2) (log.f64 x))
(*.f64 -1/2 (log.f64 x))
(+.f64 (.f64 (pow.f64 (sqrt.f64 -1/2) 2) (log.f64 x)) (.f64 (-.f64 (log.f64 x) 1) x))
(fma.f64 (pow.f64 (sqrt.f64 -1/2) 2) (log.f64 x) (*.f64 x (+.f64 (log.f64 x) -1)))
(fma.f64 x (+.f64 (log.f64 x) -1) (*.f64 -1/2 (log.f64 x)))
(+.f64 (*.f64 (log.f64 x) (+.f64 -1/2 x)) (neg.f64 x))
(-.f64 (*.f64 (log.f64 x) (-.f64 x 1/2)) x)
(-.f64 (*.f64 (log.f64 x) (+.f64 -1/2 x)) x)
(+.f64 (.f64 (+.f64 (.f64 -1/4 (/.f64 (log.f64 x) (pow.f64 (sqrt.f64 -1/2) 2))) (.f64 1/4 (/.f64 (log.f64 x) (pow.f64 (sqrt.f64 -1/2) 2)))) (pow.f64 x 2)) (+.f64 (.f64 (pow.f64 (sqrt.f64 -1/2) 2) (log.f64 x)) (*.f64 (-.f64 (log.f64 x) 1) x)))
(fma.f64 (pow.f64 (sqrt.f64 -1/2) 2) (log.f64 x) (*.f64 x (+.f64 (log.f64 x) -1)))
(fma.f64 x (+.f64 (log.f64 x) -1) (*.f64 -1/2 (log.f64 x)))
(+.f64 (*.f64 (log.f64 x) (+.f64 -1/2 x)) (neg.f64 x))
(-.f64 (*.f64 (log.f64 x) (-.f64 x 1/2)) x)
(-.f64 (*.f64 (log.f64 x) (+.f64 -1/2 x)) x)
(+.f64 (.f64 (+.f64 (.f64 -1/8 (/.f64 (log.f64 x) (pow.f64 (sqrt.f64 -1/2) 4))) (.f64 1/8 (/.f64 (log.f64 x) (pow.f64 (sqrt.f64 -1/2) 4)))) (pow.f64 x 3)) (+.f64 (.f64 (+.f64 (.f64 -1/4 (/.f64 (log.f64 x) (pow.f64 (sqrt.f64 -1/2) 2))) (.f64 1/4 (/.f64 (log.f64 x) (pow.f64 (sqrt.f64 -1/2) 2)))) (pow.f64 x 2)) (+.f64 (.f64 (pow.f64 (sqrt.f64 -1/2) 2) (log.f64 x)) (.f64 (-.f64 (log.f64 x) 1) x))))
(fma.f64 (pow.f64 (sqrt.f64 -1/2) 2) (log.f64 x) (*.f64 x (+.f64 (log.f64 x) -1)))
(fma.f64 x (+.f64 (log.f64 x) -1) (*.f64 -1/2 (log.f64 x)))
(+.f64 (*.f64 (log.f64 x) (+.f64 -1/2 x)) (neg.f64 x))
(-.f64 (*.f64 (log.f64 x) (-.f64 x 1/2)) x)
(-.f64 (*.f64 (log.f64 x) (+.f64 -1/2 x)) x)
(*.f64 -1 x)
(neg.f64 x)
(*.f64 -1 x)
(neg.f64 x)
(*.f64 -1/2 (log.f64 x))
(*.f64 (pow.f64 (sqrt.f64 -1/2) 2) (log.f64 x))
(+.f64 (.f64 -1/2 (log.f64 x)) (.f64 (log.f64 x) x))
(fma.f64 (log.f64 x) x (*.f64 (pow.f64 (sqrt.f64 -1/2) 2) (log.f64 x)))
(*.f64 (log.f64 x) (+.f64 x -1/2))
(*.f64 (log.f64 x) (+.f64 -1/2 x))
(*.f64 (log.f64 x) (-.f64 x 1/2))
(+.f64 (.f64 -1/2 (log.f64 x)) (.f64 (log.f64 x) x))
(fma.f64 (log.f64 x) x (*.f64 (pow.f64 (sqrt.f64 -1/2) 2) (log.f64 x)))
(*.f64 (log.f64 x) (+.f64 x -1/2))
(*.f64 (log.f64 x) (+.f64 -1/2 x))
(*.f64 (log.f64 x) (-.f64 x 1/2))
(+.f64 (.f64 -1/2 (log.f64 x)) (.f64 (log.f64 x) x))
(fma.f64 (log.f64 x) x (*.f64 (pow.f64 (sqrt.f64 -1/2) 2) (log.f64 x)))
(*.f64 (log.f64 x) (+.f64 x -1/2))
(*.f64 (log.f64 x) (+.f64 -1/2 x))
(*.f64 (log.f64 x) (-.f64 x 1/2))
(.f64 -1 (.f64 (log.f64 (/.f64 1 x)) x))
(neg.f64 (*.f64 x (neg.f64 (log.f64 x))))
(*.f64 (neg.f64 (log.f64 x)) (neg.f64 x))
(*.f64 x (log.f64 x))
(+.f64 (.f64 -1 (.f64 (log.f64 (/.f64 1 x)) x)) (*.f64 1/2 (log.f64 (/.f64 1 x))))
(fma.f64 (log.f64 x) x (*.f64 (pow.f64 (sqrt.f64 -1/2) 2) (log.f64 x)))
(*.f64 (log.f64 x) (+.f64 x -1/2))
(*.f64 (log.f64 x) (+.f64 -1/2 x))
(*.f64 (log.f64 x) (-.f64 x 1/2))
(+.f64 (.f64 -1 (.f64 (log.f64 (/.f64 1 x)) x)) (*.f64 1/2 (log.f64 (/.f64 1 x))))
(fma.f64 (log.f64 x) x (*.f64 (pow.f64 (sqrt.f64 -1/2) 2) (log.f64 x)))
(*.f64 (log.f64 x) (+.f64 x -1/2))
(*.f64 (log.f64 x) (+.f64 -1/2 x))
(*.f64 (log.f64 x) (-.f64 x 1/2))
(+.f64 (.f64 -1 (.f64 (log.f64 (/.f64 1 x)) x)) (*.f64 1/2 (log.f64 (/.f64 1 x))))
(fma.f64 (log.f64 x) x (*.f64 (pow.f64 (sqrt.f64 -1/2) 2) (log.f64 x)))
(*.f64 (log.f64 x) (+.f64 x -1/2))
(*.f64 (log.f64 x) (+.f64 -1/2 x))
(*.f64 (log.f64 x) (-.f64 x 1/2))
(.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) x)
(neg.f64 (*.f64 x (neg.f64 (log.f64 x))))
(*.f64 (neg.f64 (log.f64 x)) (neg.f64 x))
(*.f64 x (log.f64 x))
(+.f64 (.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) x) (.f64 -1/2 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))))
(fma.f64 (log.f64 x) x (*.f64 (pow.f64 (sqrt.f64 -1/2) 2) (log.f64 x)))
(*.f64 (log.f64 x) (+.f64 x -1/2))
(*.f64 (log.f64 x) (+.f64 -1/2 x))
(*.f64 (log.f64 x) (-.f64 x 1/2))
(+.f64 (.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) x) (.f64 -1/2 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))))
(fma.f64 (log.f64 x) x (*.f64 (pow.f64 (sqrt.f64 -1/2) 2) (log.f64 x)))
(*.f64 (log.f64 x) (+.f64 x -1/2))
(*.f64 (log.f64 x) (+.f64 -1/2 x))
(*.f64 (log.f64 x) (-.f64 x 1/2))
(+.f64 (.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) x) (.f64 -1/2 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))))
(fma.f64 (log.f64 x) x (*.f64 (pow.f64 (sqrt.f64 -1/2) 2) (log.f64 x)))
(*.f64 (log.f64 x) (+.f64 x -1/2))
(*.f64 (log.f64 x) (+.f64 -1/2 x))
(*.f64 (log.f64 x) (-.f64 x 1/2))

eval843.0ms (5.2%)

Compiler: Compiled 28226 to 15669 computations (44.5% saved)

prune232.0ms (1.4%)

Pruning

41 alts after pruning (40 fresh and 1 done)

	Pruned	Kept	Total
New	1057	23	1080
Fresh	14	17	31
Picked	1	0	1
Done	3	1	4
Total	1075	41	1116

Error

0.0b

Counts

1116 → 41

Alt Table

Click to see full alt table

Status	Error	Program
	35.1b	(+.f64 (+.f64 (cbrt.f64 (pow.f64 (-.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) x) 3)) 91893853320467/100000000000000) (/.f64 83333333333333/1000000000000000 x))
	9.5b	(+.f64 (+.f64 (-.f64 (.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (.f64 (sqrt.f64 (fma.f64 z (fma.f64 7936500793651/10000000000000000 z -13888888888889/5000000000000000) 83333333333333/1000000000000000)) (*.f64 (sqrt.f64 (fma.f64 z (fma.f64 7936500793651/10000000000000000 z -13888888888889/5000000000000000) 83333333333333/1000000000000000)) (/.f64 1 x))))
	38.7b	(+.f64 (+.f64 (.f64 -1/2 (log.f64 x)) 91893853320467/100000000000000) (/.f64 (+.f64 (+.f64 (.f64 7936500793651/10000000000000000 (.f64 z z)) (.f64 -13888888888889/5000000000000000 z)) 83333333333333/1000000000000000) x))
	42.4b	(+.f64 (+.f64 91893853320467/100000000000000 (*.f64 -1/2 (log.f64 x))) (/.f64 83333333333333/1000000000000000 x))
	21.2b	(+.f64 (+.f64 (-.f64 91893853320467/100000000000000 x) (.f64 (log.f64 x) (+.f64 -1/2 x))) (.f64 z (*.f64 (/.f64 z x) (+.f64 y 7936500793651/10000000000000000))))
	29.3b	(+.f64 (+.f64 (-.f64 (.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (.f64 (*.f64 z z) (/.f64 y x)))
	11.9b	(+.f64 (-.f64 (*.f64 x (log.f64 x)) x) (pow.f64 (cbrt.f64 (/.f64 83333333333333/1000000000000000 x)) 3))
	11.5b	(+.f64 (+.f64 (-.f64 91893853320467/100000000000000 x) (*.f64 (log.f64 x) (+.f64 -1/2 x))) (/.f64 83333333333333/1000000000000000 x))
	11.5b	(+.f64 (+.f64 (*.f64 x (+.f64 -1 (log.f64 x))) 91893853320467/100000000000000) (/.f64 83333333333333/1000000000000000 x))
▶	12.0b	(+.f64 (+.f64 (-.f64 (pow.f64 (cbrt.f64 (*.f64 (+.f64 x -1/2) (log.f64 x))) 3) x) 91893853320467/100000000000000) (/.f64 83333333333333/1000000000000000 x))
	22.4b	(+.f64 (-.f64 (.f64 x (log.f64 x)) x) (.f64 (cbrt.f64 (/.f64 83333333333333/1000000000000000 x)) (cbrt.f64 (/.f64 6944444444444388888888888889/1000000000000000000000000000000 (*.f64 x x)))))
	11.4b	(+.f64 (+.f64 (-.f64 91893853320467/100000000000000 x) (.f64 (log.f64 x) (+.f64 -1/2 x))) (/.f64 (+.f64 83333333333333/1000000000000000 (.f64 -13888888888889/5000000000000000 z)) x))
▶	34.0b	(+.f64 (+.f64 (.f64 -1/2 (log.f64 x)) 91893853320467/100000000000000) (/.f64 (+.f64 (+.f64 (.f64 (.f64 (+.f64 y 7936500793651/10000000000000000) z) z) (.f64 -13888888888889/5000000000000000 z)) 83333333333333/1000000000000000) x))
	26.1b	(+.f64 (+.f64 (-.f64 (.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (.f64 z (*.f64 z (/.f64 7936500793651/10000000000000000 x))))
	32.9b	(+.f64 (+.f64 (-.f64 (.f64 (sqrt.f64 (log.f64 x)) (.f64 (sqrt.f64 (log.f64 x)) (+.f64 x -1/2))) x) 91893853320467/100000000000000) (/.f64 83333333333333/1000000000000000 x))
	11.7b	(+.f64 (-.f64 (*.f64 x (log.f64 x)) x) (pow.f64 (sqrt.f64 (/.f64 83333333333333/1000000000000000 x)) 2))
	11.4b	(+.f64 (+.f64 (-.f64 (.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (+.f64 (/.f64 83333333333333/1000000000000000 x) (.f64 -13888888888889/5000000000000000 (/.f64 z x))))
	34.0b	(+.f64 (+.f64 (.f64 -1/2 (log.f64 x)) 91893853320467/100000000000000) (/.f64 (+.f64 (.f64 (-.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000) x))
	9.5b	(+.f64 (+.f64 (-.f64 (.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (+.f64 (/.f64 83333333333333/1000000000000000 x) (/.f64 (.f64 (-.f64 (*.f64 7936500793651/10000000000000000 z) 13888888888889/5000000000000000) z) x)))
	22.1b	(+.f64 (+.f64 (-.f64 91893853320467/100000000000000 x) (*.f64 (log.f64 x) (+.f64 -1/2 x))) (/.f64 (log.f64 (exp.f64 (fma.f64 z (fma.f64 z (+.f64 y 7936500793651/10000000000000000) -13888888888889/5000000000000000) 83333333333333/1000000000000000))) x))
	11.9b	(+.f64 (+.f64 (-.f64 (.f64 (pow.f64 (cbrt.f64 (+.f64 x -1/2)) 2) (.f64 (cbrt.f64 (+.f64 x -1/2)) (log.f64 x))) x) 91893853320467/100000000000000) (/.f64 83333333333333/1000000000000000 x))
	9.5b	(+.f64 (+.f64 (-.f64 91893853320467/100000000000000 x) (.f64 (log.f64 x) (+.f64 -1/2 x))) (/.f64 (+.f64 83333333333333/1000000000000000 (.f64 (-.f64 (*.f64 7936500793651/10000000000000000 z) 13888888888889/5000000000000000) z)) x))
	11.5b	(+.f64 (*.f64 (-.f64 (log.f64 x) 1) x) (/.f64 83333333333333/1000000000000000 x))
	29.2b	(+.f64 (+.f64 (-.f64 (.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (/.f64 (.f64 y (*.f64 z z)) x))
	42.5b	(+.f64 (+.f64 (-.f64 (*.f64 -1/2 (log.f64 x)) x) 91893853320467/100000000000000) (/.f64 83333333333333/1000000000000000 x))
	11.5b	(+.f64 (-.f64 (.f64 x (log.f64 x)) x) (pow.f64 (.f64 x 1000000000000000/83333333333333) -1))
	31.1b	(+.f64 (+.f64 (-.f64 (/.f64 (*.f64 (fma.f64 x x -1/4) (log.f64 x)) (+.f64 x 1/2)) x) 91893853320467/100000000000000) (/.f64 83333333333333/1000000000000000 x))
	57.3b	(+.f64 (+.f64 (.f64 -1/2 (log.f64 x)) 91893853320467/100000000000000) (.f64 y (*.f64 z (/.f64 z x))))
▶	0.3b	(+.f64 (+.f64 (-.f64 (.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (+.f64 (pow.f64 (.f64 x 1000000000000000/83333333333333) -1) (+.f64 (.f64 (/.f64 z x) (.f64 z (+.f64 7936500793651/10000000000000000 y))) (*.f64 (/.f64 z x) -13888888888889/5000000000000000))))
	11.9b	(+.f64 (+.f64 (pow.f64 (cbrt.f64 (-.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) x)) 3) 91893853320467/100000000000000) (/.f64 83333333333333/1000000000000000 x))
✓	11.5b	(+.f64 (-.f64 (*.f64 x (log.f64 x)) x) (/.f64 83333333333333/1000000000000000 x))
	11.6b	(+.f64 (+.f64 (pow.f64 (sqrt.f64 (-.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) x)) 2) 91893853320467/100000000000000) (/.f64 83333333333333/1000000000000000 x))
	32.8b	(+.f64 (+.f64 (-.f64 (.f64 (.f64 (log.f64 x) (sqrt.f64 (+.f64 x -1/2))) (sqrt.f64 (+.f64 x -1/2))) x) 91893853320467/100000000000000) (/.f64 83333333333333/1000000000000000 x))
	42.5b	(+.f64 (+.f64 (neg.f64 x) 91893853320467/100000000000000) (/.f64 83333333333333/1000000000000000 x))
	25.9b	(+.f64 (+.f64 (-.f64 (.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (cbrt.f64 (pow.f64 (/.f64 (+.f64 83333333333333/1000000000000000 (.f64 (-.f64 (*.f64 7936500793651/10000000000000000 z) 13888888888889/5000000000000000) z)) x) 3)))
	26.4b	(+.f64 (+.f64 (-.f64 (.f64 x (log.f64 x)) x) 91893853320467/100000000000000) (.f64 y (*.f64 z (/.f64 z x))))
	31.5b	(+.f64 (+.f64 (.f64 -1/2 (log.f64 x)) 91893853320467/100000000000000) (+.f64 (/.f64 83333333333333/1000000000000000 x) (+.f64 (.f64 (/.f64 z x) (.f64 z (+.f64 7936500793651/10000000000000000 y))) (.f64 (/.f64 z x) -13888888888889/5000000000000000))))
	32.8b	(+.f64 (+.f64 (-.f64 (pow.f64 (sqrt.f64 (*.f64 x (log.f64 x))) 2) x) 91893853320467/100000000000000) (/.f64 83333333333333/1000000000000000 x))
▶	26.6b	(+.f64 (+.f64 (-.f64 (.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (.f64 (*.f64 y (/.f64 z x)) z))
	11.5b	(+.f64 (.f64 83333333333333/1000000000000000 (/.f64 1 x)) (.f64 (-.f64 (log.f64 x) 1) x))
▶	41.7b	(/.f64 83333333333333/1000000000000000 x)

Compiler

Compiled 1667 to 1245 computations (25.3% saved)

localize20.0ms (0.1%)

Local error

Found 8 expressions with local error:

New	Error	Program
	0.0b	(+.f64 (pow.f64 (.f64 x 1000000000000000/83333333333333) -1) (+.f64 (.f64 (/.f64 z x) (.f64 z (+.f64 7936500793651/10000000000000000 y))) (.f64 (/.f64 z x) -13888888888889/5000000000000000)))
	0.0b	(*.f64 x 1000000000000000/83333333333333)
	0.0b	(+.f64 (+.f64 (-.f64 (.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (+.f64 (pow.f64 (.f64 x 1000000000000000/83333333333333) -1) (+.f64 (.f64 (/.f64 z x) (.f64 z (+.f64 7936500793651/10000000000000000 y))) (*.f64 (/.f64 z x) -13888888888889/5000000000000000))))
	0.0b	(+.f64 7936500793651/10000000000000000 y)
	0.2b	(-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x)
	0.2b	(*.f64 (/.f64 z x) -13888888888889/5000000000000000)
✓	0.3b	(pow.f64 (*.f64 x 1000000000000000/83333333333333) -1)
	1.3b	(.f64 (/.f64 z x) (.f64 z (+.f64 7936500793651/10000000000000000 y)))

series2.0ms (0%)

Counts

1 → 12

Calls

3 calls:

Time	Variable		Point	Expression
1.0ms	x	@	0	(pow.f64 (*.f64 x 1000000000000000/83333333333333) -1)
1.0ms	x	@	-inf	(pow.f64 (*.f64 x 1000000000000000/83333333333333) -1)
1.0ms	x	@	inf	(pow.f64 (*.f64 x 1000000000000000/83333333333333) -1)

rewrite44.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

531×	`pow1_binary64`
523×	`add-sqr-sqrt_binary64`
500×	`add-log-exp_binary64`
500×	`log1p-expm1-u_binary64`
500×	`expm1-log1p-u_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	6	7
1	126	4
2	1377	4

Stop Event

1×	node limit

Counts

1 → 23

Calls

Call 1

Inputs
(pow.f64 (*.f64 x 1000000000000000/83333333333333) -1)

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 83333333333333/1000000000000000 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 83333333333333/1000000000000000 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 83333333333333/1000000000000000 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 83333333333333/1000000000000000 x)) (pow.f64 (cbrt.f64 (/.f64 83333333333333/1000000000000000 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 83333333333333/1000000000000000 x)) 2) (cbrt.f64 (/.f64 83333333333333/1000000000000000 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 x -1) 83333333333333/1000000000000000)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 83333333333333/1000000000000000 (pow.f64 x -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 83333333333333/1000000000000000 x)) (sqrt.f64 (/.f64 83333333333333/1000000000000000 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 x 1000000000000000/83333333333333)) 2) -1) (pow.f64 (cbrt.f64 (*.f64 x 1000000000000000/83333333333333)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (*.f64 x 1000000000000000/83333333333333)) -1) (pow.f64 (sqrt.f64 (*.f64 x 1000000000000000/83333333333333)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (neg.f64 (*.f64 x 1000000000000000/83333333333333)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (*.f64 x 1000000000000000/83333333333333))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (*.f64 x 1000000000000000/83333333333333) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 x -1) 1000000000000000/83333333333333)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 83333333333333/1000000000000000 x)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (/.f64 83333333333333/1000000000000000 x)) (sqrt.f64 (*.f64 x 1000000000000000/83333333333333)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 1 (pow.f64 (cbrt.f64 (*.f64 x 1000000000000000/83333333333333)) 2)) (cbrt.f64 (*.f64 x 1000000000000000/83333333333333)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 x 1000000000000000/83333333333333) -2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 83333333333333/1000000000000000 x)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 83333333333333/1000000000000000 x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 83333333333333/1000000000000000 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 83333333333333/1000000000000000 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 83333333333333/1000000000000000 x)))))))

simplify9.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4	48

Stop Event

1×

saturated

Counts

35 → 23

Calls

Call 1

Inputs
(/.f64 83333333333333/1000000000000000 x)
(/.f64 83333333333333/1000000000000000 x)
(/.f64 83333333333333/1000000000000000 x)
(/.f64 83333333333333/1000000000000000 x)
(/.f64 83333333333333/1000000000000000 x)
(/.f64 83333333333333/1000000000000000 x)
(/.f64 83333333333333/1000000000000000 x)
(/.f64 83333333333333/1000000000000000 x)
(/.f64 83333333333333/1000000000000000 x)
(/.f64 83333333333333/1000000000000000 x)
(/.f64 83333333333333/1000000000000000 x)
(/.f64 83333333333333/1000000000000000 x)

Outputs
(/.f64 83333333333333/1000000000000000 x)
(/.f64 83333333333333/1000000000000000 x)
(/.f64 83333333333333/1000000000000000 x)
(/.f64 83333333333333/1000000000000000 x)
(/.f64 83333333333333/1000000000000000 x)
(/.f64 83333333333333/1000000000000000 x)
(/.f64 83333333333333/1000000000000000 x)
(/.f64 83333333333333/1000000000000000 x)
(/.f64 83333333333333/1000000000000000 x)
(/.f64 83333333333333/1000000000000000 x)
(/.f64 83333333333333/1000000000000000 x)
(/.f64 83333333333333/1000000000000000 x)

localize2.0ms (0%)

Local error

Found 2 expressions with local error:

New	Error	Program
	0.3b	(/.f64 83333333333333/1000000000000000 x)
	0.3b	(/.f64 83333333333333/1000000000000000 x)

rewrite0.0ms (0%)

Counts: 0 → 0

simplify7.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	0	0

Stop Event

1×

saturated

Counts

0 → 0

Calls

Call 1

Inputs

Outputs

localize13.0ms (0.1%)

Local error

Found 8 expressions with local error:

New	Error	Program
	0.2b	(-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x)
	0.1b	(*.f64 (-.f64 x 1/2) (log.f64 x))
	0.1b	(+.f64 (-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000)
	0.0b	(+.f64 (+.f64 (-.f64 (.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (.f64 (*.f64 y (/.f64 z x)) z))
	0.1b	(*.f64 (-.f64 x 1/2) (log.f64 x))
	0.2b	(-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x)
✓	1.3b	(.f64 (.f64 y (/.f64 z x)) z)
✓	4.3b	(*.f64 y (/.f64 z x))

series35.0ms (0.2%)

Counts

2 → 72

Calls

18 calls:

Time	Variable		Point	Expression
28.0ms	y	@	0	(*.f64 y (/.f64 z x))
1.0ms	x	@	0	(*.f64 y (/.f64 z x))
1.0ms	z	@	0	(*.f64 y (/.f64 z x))
1.0ms	y	@	inf	(*.f64 y (/.f64 z x))
0.0ms	y	@	-inf	(*.f64 y (/.f64 z x))

rewrite47.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

806×	`pow1_binary64`
743×	`add-log-exp_binary64`
743×	`log1p-expm1-u_binary64`
743×	`expm1-log1p-u_binary64`
725×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	17
1	147	17
2	1991	17

Stop Event

1×	node limit

Counts

2 → 37

Calls

Call 1

Inputs
(*.f64 y (/.f64 z x))
(.f64 (.f64 y (/.f64 z x)) z)

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 (*.f64 y z) x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 y (/.f64 x z))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 x (*.f64 y z)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 y z) x)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 y z)) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 y z) 1) x)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 y z) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 y z) (sqrt.f64 x)) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 z) y) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 y (neg.f64 z)) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (*.f64 y z) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (*.f64 y z) x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (*.f64 y z) x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (*.f64 y z) x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (*.f64 y z) x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 y) (/.f64 z x)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (*.f64 y z) x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 y 3) (pow.f64 (/.f64 z x) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (/.f64 z x) 3) (pow.f64 y 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (*.f64 y z) x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (*.f64 y z) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (*.f64 y z) x)))))))

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 y (/.f64 (*.f64 z z) x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 y z) z) x)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 z (*.f64 y z)) x)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 y (/.f64 (*.f64 z z) x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 y (/.f64 (*.f64 z z) x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 y (/.f64 (*.f64 z z) x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 y (/.f64 (*.f64 z z) x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 y (/.f64 (*.f64 z z) x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (pow.f64 (exp.f64 y) (/.f64 z x)) z))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 y (/.f64 (*.f64 z z) x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 z 3) (pow.f64 (/.f64 (*.f64 y z) x) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (/.f64 (*.f64 y z) x) 3) (pow.f64 z 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 y (/.f64 (*.f64 z z) x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 y (/.f64 (*.f64 z z) x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 y (/.f64 (*.f64 z z) x))))))))

simplify89.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

1389×	`associate-*l/_binary64`
1169×	`associate-*r/_binary64`
368×	`sqr-pow_binary64`
321×	`*-commutative_binary64`
250×	`associate-/r*_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	612
1	21	612
2	37	612
3	76	612
4	214	612
5	738	612
6	1899	612
7	2936	612
8	3047	612
9	3190	612
10	3371	612
11	3646	612
12	3974	612
13	5397	612

Stop Event

1×	node limit

Counts

109 → 40

Calls

Call 1

Inputs
(/.f64 (*.f64 y z) x)
(/.f64 (*.f64 y z) x)
(/.f64 (*.f64 y z) x)
(/.f64 (*.f64 y z) x)
(/.f64 (*.f64 y z) x)
(/.f64 (*.f64 y z) x)
(/.f64 (*.f64 y z) x)
(/.f64 (*.f64 y z) x)
(/.f64 (*.f64 y z) x)
(/.f64 (*.f64 y z) x)
(/.f64 (*.f64 y z) x)
(/.f64 (*.f64 y z) x)
(/.f64 (*.f64 y z) x)
(/.f64 (*.f64 y z) x)
(/.f64 (*.f64 y z) x)
(/.f64 (*.f64 y z) x)
(/.f64 (*.f64 y z) x)
(/.f64 (*.f64 y z) x)
(/.f64 (*.f64 y z) x)
(/.f64 (*.f64 y z) x)
(/.f64 (*.f64 y z) x)
(/.f64 (*.f64 y z) x)
(/.f64 (*.f64 y z) x)
(/.f64 (*.f64 y z) x)
(/.f64 (*.f64 y z) x)
(/.f64 (*.f64 y z) x)
(/.f64 (*.f64 y z) x)
(/.f64 (*.f64 y z) x)
(/.f64 (*.f64 y z) x)
(/.f64 (*.f64 y z) x)
(/.f64 (*.f64 y z) x)
(/.f64 (*.f64 y z) x)
(/.f64 (*.f64 y z) x)
(/.f64 (*.f64 y z) x)
(/.f64 (*.f64 y z) x)
(/.f64 (*.f64 y z) x)
(/.f64 (*.f64 y (pow.f64 z 2)) x)
(/.f64 (*.f64 y (pow.f64 z 2)) x)
(/.f64 (*.f64 y (pow.f64 z 2)) x)
(/.f64 (*.f64 y (pow.f64 z 2)) x)
(/.f64 (*.f64 y (pow.f64 z 2)) x)
(/.f64 (*.f64 y (pow.f64 z 2)) x)
(/.f64 (*.f64 y (pow.f64 z 2)) x)
(/.f64 (*.f64 y (pow.f64 z 2)) x)
(/.f64 (*.f64 y (pow.f64 z 2)) x)
(/.f64 (*.f64 y (pow.f64 z 2)) x)
(/.f64 (*.f64 y (pow.f64 z 2)) x)
(/.f64 (*.f64 y (pow.f64 z 2)) x)
(/.f64 (*.f64 y (pow.f64 z 2)) x)
(/.f64 (*.f64 y (pow.f64 z 2)) x)
(/.f64 (*.f64 y (pow.f64 z 2)) x)
(/.f64 (*.f64 y (pow.f64 z 2)) x)
(/.f64 (*.f64 y (pow.f64 z 2)) x)
(/.f64 (*.f64 y (pow.f64 z 2)) x)
(/.f64 (*.f64 y (pow.f64 z 2)) x)
(/.f64 (*.f64 y (pow.f64 z 2)) x)
(/.f64 (*.f64 y (pow.f64 z 2)) x)
(/.f64 (*.f64 y (pow.f64 z 2)) x)
(/.f64 (*.f64 y (pow.f64 z 2)) x)
(/.f64 (*.f64 y (pow.f64 z 2)) x)
(/.f64 (*.f64 y (pow.f64 z 2)) x)
(/.f64 (*.f64 y (pow.f64 z 2)) x)
(/.f64 (*.f64 y (pow.f64 z 2)) x)
(/.f64 (*.f64 y (pow.f64 z 2)) x)
(/.f64 (*.f64 y (pow.f64 z 2)) x)
(/.f64 (*.f64 y (pow.f64 z 2)) x)
(/.f64 (*.f64 y (pow.f64 z 2)) x)
(/.f64 (*.f64 y (pow.f64 z 2)) x)
(/.f64 (*.f64 y (pow.f64 z 2)) x)
(/.f64 (*.f64 y (pow.f64 z 2)) x)
(/.f64 (*.f64 y (pow.f64 z 2)) x)
(/.f64 (*.f64 y (pow.f64 z 2)) x)

Outputs
(/.f64 (*.f64 y z) x)
(/.f64 y (/.f64 x z))
(*.f64 z (/.f64 y x))
(*.f64 y (/.f64 z x))
(/.f64 (*.f64 y z) x)
(/.f64 y (/.f64 x z))
(*.f64 z (/.f64 y x))
(*.f64 y (/.f64 z x))
(/.f64 (*.f64 y z) x)
(/.f64 y (/.f64 x z))
(*.f64 z (/.f64 y x))
(*.f64 y (/.f64 z x))
(/.f64 (*.f64 y z) x)
(/.f64 y (/.f64 x z))
(*.f64 z (/.f64 y x))
(*.f64 y (/.f64 z x))
(/.f64 (*.f64 y z) x)
(/.f64 y (/.f64 x z))
(*.f64 z (/.f64 y x))
(*.f64 y (/.f64 z x))
(/.f64 (*.f64 y z) x)
(/.f64 y (/.f64 x z))
(*.f64 z (/.f64 y x))
(*.f64 y (/.f64 z x))
(/.f64 (*.f64 y z) x)
(/.f64 y (/.f64 x z))
(*.f64 z (/.f64 y x))
(*.f64 y (/.f64 z x))
(/.f64 (*.f64 y z) x)
(/.f64 y (/.f64 x z))
(*.f64 z (/.f64 y x))
(*.f64 y (/.f64 z x))
(/.f64 (*.f64 y z) x)
(/.f64 y (/.f64 x z))
(*.f64 z (/.f64 y x))
(*.f64 y (/.f64 z x))
(/.f64 (*.f64 y z) x)
(/.f64 y (/.f64 x z))
(*.f64 z (/.f64 y x))
(*.f64 y (/.f64 z x))
(/.f64 (*.f64 y z) x)
(/.f64 y (/.f64 x z))
(*.f64 z (/.f64 y x))
(*.f64 y (/.f64 z x))
(/.f64 (*.f64 y z) x)
(/.f64 y (/.f64 x z))
(*.f64 z (/.f64 y x))
(*.f64 y (/.f64 z x))
(/.f64 (*.f64 y z) x)
(/.f64 y (/.f64 x z))
(*.f64 z (/.f64 y x))
(*.f64 y (/.f64 z x))
(/.f64 (*.f64 y z) x)
(/.f64 y (/.f64 x z))
(*.f64 z (/.f64 y x))
(*.f64 y (/.f64 z x))
(/.f64 (*.f64 y z) x)
(/.f64 y (/.f64 x z))
(*.f64 z (/.f64 y x))
(*.f64 y (/.f64 z x))
(/.f64 (*.f64 y z) x)
(/.f64 y (/.f64 x z))
(*.f64 z (/.f64 y x))
(*.f64 y (/.f64 z x))
(/.f64 (*.f64 y z) x)
(/.f64 y (/.f64 x z))
(*.f64 z (/.f64 y x))
(*.f64 y (/.f64 z x))
(/.f64 (*.f64 y z) x)
(/.f64 y (/.f64 x z))
(*.f64 z (/.f64 y x))
(*.f64 y (/.f64 z x))
(/.f64 (*.f64 y z) x)
(/.f64 y (/.f64 x z))
(*.f64 z (/.f64 y x))
(*.f64 y (/.f64 z x))
(/.f64 (*.f64 y z) x)
(/.f64 y (/.f64 x z))
(*.f64 z (/.f64 y x))
(*.f64 y (/.f64 z x))
(/.f64 (*.f64 y z) x)
(/.f64 y (/.f64 x z))
(*.f64 z (/.f64 y x))
(*.f64 y (/.f64 z x))
(/.f64 (*.f64 y z) x)
(/.f64 y (/.f64 x z))
(*.f64 z (/.f64 y x))
(*.f64 y (/.f64 z x))
(/.f64 (*.f64 y z) x)
(/.f64 y (/.f64 x z))
(*.f64 z (/.f64 y x))
(*.f64 y (/.f64 z x))
(/.f64 (*.f64 y z) x)
(/.f64 y (/.f64 x z))
(*.f64 z (/.f64 y x))
(*.f64 y (/.f64 z x))
(/.f64 (*.f64 y z) x)
(/.f64 y (/.f64 x z))
(*.f64 z (/.f64 y x))
(*.f64 y (/.f64 z x))
(/.f64 (*.f64 y z) x)
(/.f64 y (/.f64 x z))
(*.f64 z (/.f64 y x))
(*.f64 y (/.f64 z x))
(/.f64 (*.f64 y z) x)
(/.f64 y (/.f64 x z))
(*.f64 z (/.f64 y x))
(*.f64 y (/.f64 z x))
(/.f64 (*.f64 y z) x)
(/.f64 y (/.f64 x z))
(*.f64 z (/.f64 y x))
(*.f64 y (/.f64 z x))
(/.f64 (*.f64 y z) x)
(/.f64 y (/.f64 x z))
(*.f64 z (/.f64 y x))
(*.f64 y (/.f64 z x))
(/.f64 (*.f64 y z) x)
(/.f64 y (/.f64 x z))
(*.f64 z (/.f64 y x))
(*.f64 y (/.f64 z x))
(/.f64 (*.f64 y z) x)
(/.f64 y (/.f64 x z))
(*.f64 z (/.f64 y x))
(*.f64 y (/.f64 z x))
(/.f64 (*.f64 y z) x)
(/.f64 y (/.f64 x z))
(*.f64 z (/.f64 y x))
(*.f64 y (/.f64 z x))
(/.f64 (*.f64 y z) x)
(/.f64 y (/.f64 x z))
(*.f64 z (/.f64 y x))
(*.f64 y (/.f64 z x))
(/.f64 (*.f64 y z) x)
(/.f64 y (/.f64 x z))
(*.f64 z (/.f64 y x))
(*.f64 y (/.f64 z x))
(/.f64 (*.f64 y z) x)
(/.f64 y (/.f64 x z))
(*.f64 z (/.f64 y x))
(*.f64 y (/.f64 z x))
(/.f64 (*.f64 y z) x)
(/.f64 y (/.f64 x z))
(*.f64 z (/.f64 y x))
(*.f64 y (/.f64 z x))
(/.f64 (*.f64 y (pow.f64 z 2)) x)
(/.f64 y (/.f64 x (*.f64 z z)))
(.f64 (/.f64 y x) (.f64 z z))
(.f64 (.f64 z z) (/.f64 y x))
(.f64 z (.f64 y (/.f64 z x)))
(.f64 (.f64 y z) (/.f64 z x))
(.f64 y (.f64 z (/.f64 z x)))
(*.f64 y (/.f64 z (/.f64 x z)))
(/.f64 (*.f64 y (pow.f64 z 2)) x)
(/.f64 y (/.f64 x (*.f64 z z)))
(.f64 (/.f64 y x) (.f64 z z))
(.f64 (.f64 z z) (/.f64 y x))
(.f64 z (.f64 y (/.f64 z x)))
(.f64 (.f64 y z) (/.f64 z x))
(.f64 y (.f64 z (/.f64 z x)))
(*.f64 y (/.f64 z (/.f64 x z)))
(/.f64 (*.f64 y (pow.f64 z 2)) x)
(/.f64 y (/.f64 x (*.f64 z z)))
(.f64 (/.f64 y x) (.f64 z z))
(.f64 (.f64 z z) (/.f64 y x))
(.f64 z (.f64 y (/.f64 z x)))
(.f64 (.f64 y z) (/.f64 z x))
(.f64 y (.f64 z (/.f64 z x)))
(*.f64 y (/.f64 z (/.f64 x z)))
(/.f64 (*.f64 y (pow.f64 z 2)) x)
(/.f64 y (/.f64 x (*.f64 z z)))
(.f64 (/.f64 y x) (.f64 z z))
(.f64 (.f64 z z) (/.f64 y x))
(.f64 z (.f64 y (/.f64 z x)))
(.f64 (.f64 y z) (/.f64 z x))
(.f64 y (.f64 z (/.f64 z x)))
(*.f64 y (/.f64 z (/.f64 x z)))
(/.f64 (*.f64 y (pow.f64 z 2)) x)
(/.f64 y (/.f64 x (*.f64 z z)))
(.f64 (/.f64 y x) (.f64 z z))
(.f64 (.f64 z z) (/.f64 y x))
(.f64 z (.f64 y (/.f64 z x)))
(.f64 (.f64 y z) (/.f64 z x))
(.f64 y (.f64 z (/.f64 z x)))
(*.f64 y (/.f64 z (/.f64 x z)))
(/.f64 (*.f64 y (pow.f64 z 2)) x)
(/.f64 y (/.f64 x (*.f64 z z)))
(.f64 (/.f64 y x) (.f64 z z))
(.f64 (.f64 z z) (/.f64 y x))
(.f64 z (.f64 y (/.f64 z x)))
(.f64 (.f64 y z) (/.f64 z x))
(.f64 y (.f64 z (/.f64 z x)))
(*.f64 y (/.f64 z (/.f64 x z)))
(/.f64 (*.f64 y (pow.f64 z 2)) x)
(/.f64 y (/.f64 x (*.f64 z z)))
(.f64 (/.f64 y x) (.f64 z z))
(.f64 (.f64 z z) (/.f64 y x))
(.f64 z (.f64 y (/.f64 z x)))
(.f64 (.f64 y z) (/.f64 z x))
(.f64 y (.f64 z (/.f64 z x)))
(*.f64 y (/.f64 z (/.f64 x z)))
(/.f64 (*.f64 y (pow.f64 z 2)) x)
(/.f64 y (/.f64 x (*.f64 z z)))
(.f64 (/.f64 y x) (.f64 z z))
(.f64 (.f64 z z) (/.f64 y x))
(.f64 z (.f64 y (/.f64 z x)))
(.f64 (.f64 y z) (/.f64 z x))
(.f64 y (.f64 z (/.f64 z x)))
(*.f64 y (/.f64 z (/.f64 x z)))
(/.f64 (*.f64 y (pow.f64 z 2)) x)
(/.f64 y (/.f64 x (*.f64 z z)))
(.f64 (/.f64 y x) (.f64 z z))
(.f64 (.f64 z z) (/.f64 y x))
(.f64 z (.f64 y (/.f64 z x)))
(.f64 (.f64 y z) (/.f64 z x))
(.f64 y (.f64 z (/.f64 z x)))
(*.f64 y (/.f64 z (/.f64 x z)))
(/.f64 (*.f64 y (pow.f64 z 2)) x)
(/.f64 y (/.f64 x (*.f64 z z)))
(.f64 (/.f64 y x) (.f64 z z))
(.f64 (.f64 z z) (/.f64 y x))
(.f64 z (.f64 y (/.f64 z x)))
(.f64 (.f64 y z) (/.f64 z x))
(.f64 y (.f64 z (/.f64 z x)))
(*.f64 y (/.f64 z (/.f64 x z)))
(/.f64 (*.f64 y (pow.f64 z 2)) x)
(/.f64 y (/.f64 x (*.f64 z z)))
(.f64 (/.f64 y x) (.f64 z z))
(.f64 (.f64 z z) (/.f64 y x))
(.f64 z (.f64 y (/.f64 z x)))
(.f64 (.f64 y z) (/.f64 z x))
(.f64 y (.f64 z (/.f64 z x)))
(*.f64 y (/.f64 z (/.f64 x z)))
(/.f64 (*.f64 y (pow.f64 z 2)) x)
(/.f64 y (/.f64 x (*.f64 z z)))
(.f64 (/.f64 y x) (.f64 z z))
(.f64 (.f64 z z) (/.f64 y x))
(.f64 z (.f64 y (/.f64 z x)))
(.f64 (.f64 y z) (/.f64 z x))
(.f64 y (.f64 z (/.f64 z x)))
(*.f64 y (/.f64 z (/.f64 x z)))
(/.f64 (*.f64 y (pow.f64 z 2)) x)
(/.f64 y (/.f64 x (*.f64 z z)))
(.f64 (/.f64 y x) (.f64 z z))
(.f64 (.f64 z z) (/.f64 y x))
(.f64 z (.f64 y (/.f64 z x)))
(.f64 (.f64 y z) (/.f64 z x))
(.f64 y (.f64 z (/.f64 z x)))
(*.f64 y (/.f64 z (/.f64 x z)))
(/.f64 (*.f64 y (pow.f64 z 2)) x)
(/.f64 y (/.f64 x (*.f64 z z)))
(.f64 (/.f64 y x) (.f64 z z))
(.f64 (.f64 z z) (/.f64 y x))
(.f64 z (.f64 y (/.f64 z x)))
(.f64 (.f64 y z) (/.f64 z x))
(.f64 y (.f64 z (/.f64 z x)))
(*.f64 y (/.f64 z (/.f64 x z)))
(/.f64 (*.f64 y (pow.f64 z 2)) x)
(/.f64 y (/.f64 x (*.f64 z z)))
(.f64 (/.f64 y x) (.f64 z z))
(.f64 (.f64 z z) (/.f64 y x))
(.f64 z (.f64 y (/.f64 z x)))
(.f64 (.f64 y z) (/.f64 z x))
(.f64 y (.f64 z (/.f64 z x)))
(*.f64 y (/.f64 z (/.f64 x z)))
(/.f64 (*.f64 y (pow.f64 z 2)) x)
(/.f64 y (/.f64 x (*.f64 z z)))
(.f64 (/.f64 y x) (.f64 z z))
(.f64 (.f64 z z) (/.f64 y x))
(.f64 z (.f64 y (/.f64 z x)))
(.f64 (.f64 y z) (/.f64 z x))
(.f64 y (.f64 z (/.f64 z x)))
(*.f64 y (/.f64 z (/.f64 x z)))
(/.f64 (*.f64 y (pow.f64 z 2)) x)
(/.f64 y (/.f64 x (*.f64 z z)))
(.f64 (/.f64 y x) (.f64 z z))
(.f64 (.f64 z z) (/.f64 y x))
(.f64 z (.f64 y (/.f64 z x)))
(.f64 (.f64 y z) (/.f64 z x))
(.f64 y (.f64 z (/.f64 z x)))
(*.f64 y (/.f64 z (/.f64 x z)))
(/.f64 (*.f64 y (pow.f64 z 2)) x)
(/.f64 y (/.f64 x (*.f64 z z)))
(.f64 (/.f64 y x) (.f64 z z))
(.f64 (.f64 z z) (/.f64 y x))
(.f64 z (.f64 y (/.f64 z x)))
(.f64 (.f64 y z) (/.f64 z x))
(.f64 y (.f64 z (/.f64 z x)))
(*.f64 y (/.f64 z (/.f64 x z)))
(/.f64 (*.f64 y (pow.f64 z 2)) x)
(/.f64 y (/.f64 x (*.f64 z z)))
(.f64 (/.f64 y x) (.f64 z z))
(.f64 (.f64 z z) (/.f64 y x))
(.f64 z (.f64 y (/.f64 z x)))
(.f64 (.f64 y z) (/.f64 z x))
(.f64 y (.f64 z (/.f64 z x)))
(*.f64 y (/.f64 z (/.f64 x z)))
(/.f64 (*.f64 y (pow.f64 z 2)) x)
(/.f64 y (/.f64 x (*.f64 z z)))
(.f64 (/.f64 y x) (.f64 z z))
(.f64 (.f64 z z) (/.f64 y x))
(.f64 z (.f64 y (/.f64 z x)))
(.f64 (.f64 y z) (/.f64 z x))
(.f64 y (.f64 z (/.f64 z x)))
(*.f64 y (/.f64 z (/.f64 x z)))
(/.f64 (*.f64 y (pow.f64 z 2)) x)
(/.f64 y (/.f64 x (*.f64 z z)))
(.f64 (/.f64 y x) (.f64 z z))
(.f64 (.f64 z z) (/.f64 y x))
(.f64 z (.f64 y (/.f64 z x)))
(.f64 (.f64 y z) (/.f64 z x))
(.f64 y (.f64 z (/.f64 z x)))
(*.f64 y (/.f64 z (/.f64 x z)))
(/.f64 (*.f64 y (pow.f64 z 2)) x)
(/.f64 y (/.f64 x (*.f64 z z)))
(.f64 (/.f64 y x) (.f64 z z))
(.f64 (.f64 z z) (/.f64 y x))
(.f64 z (.f64 y (/.f64 z x)))
(.f64 (.f64 y z) (/.f64 z x))
(.f64 y (.f64 z (/.f64 z x)))
(*.f64 y (/.f64 z (/.f64 x z)))
(/.f64 (*.f64 y (pow.f64 z 2)) x)
(/.f64 y (/.f64 x (*.f64 z z)))
(.f64 (/.f64 y x) (.f64 z z))
(.f64 (.f64 z z) (/.f64 y x))
(.f64 z (.f64 y (/.f64 z x)))
(.f64 (.f64 y z) (/.f64 z x))
(.f64 y (.f64 z (/.f64 z x)))
(*.f64 y (/.f64 z (/.f64 x z)))
(/.f64 (*.f64 y (pow.f64 z 2)) x)
(/.f64 y (/.f64 x (*.f64 z z)))
(.f64 (/.f64 y x) (.f64 z z))
(.f64 (.f64 z z) (/.f64 y x))
(.f64 z (.f64 y (/.f64 z x)))
(.f64 (.f64 y z) (/.f64 z x))
(.f64 y (.f64 z (/.f64 z x)))
(*.f64 y (/.f64 z (/.f64 x z)))
(/.f64 (*.f64 y (pow.f64 z 2)) x)
(/.f64 y (/.f64 x (*.f64 z z)))
(.f64 (/.f64 y x) (.f64 z z))
(.f64 (.f64 z z) (/.f64 y x))
(.f64 z (.f64 y (/.f64 z x)))
(.f64 (.f64 y z) (/.f64 z x))
(.f64 y (.f64 z (/.f64 z x)))
(*.f64 y (/.f64 z (/.f64 x z)))
(/.f64 (*.f64 y (pow.f64 z 2)) x)
(/.f64 y (/.f64 x (*.f64 z z)))
(.f64 (/.f64 y x) (.f64 z z))
(.f64 (.f64 z z) (/.f64 y x))
(.f64 z (.f64 y (/.f64 z x)))
(.f64 (.f64 y z) (/.f64 z x))
(.f64 y (.f64 z (/.f64 z x)))
(*.f64 y (/.f64 z (/.f64 x z)))
(/.f64 (*.f64 y (pow.f64 z 2)) x)
(/.f64 y (/.f64 x (*.f64 z z)))
(.f64 (/.f64 y x) (.f64 z z))
(.f64 (.f64 z z) (/.f64 y x))
(.f64 z (.f64 y (/.f64 z x)))
(.f64 (.f64 y z) (/.f64 z x))
(.f64 y (.f64 z (/.f64 z x)))
(*.f64 y (/.f64 z (/.f64 x z)))
(/.f64 (*.f64 y (pow.f64 z 2)) x)
(/.f64 y (/.f64 x (*.f64 z z)))
(.f64 (/.f64 y x) (.f64 z z))
(.f64 (.f64 z z) (/.f64 y x))
(.f64 z (.f64 y (/.f64 z x)))
(.f64 (.f64 y z) (/.f64 z x))
(.f64 y (.f64 z (/.f64 z x)))
(*.f64 y (/.f64 z (/.f64 x z)))
(/.f64 (*.f64 y (pow.f64 z 2)) x)
(/.f64 y (/.f64 x (*.f64 z z)))
(.f64 (/.f64 y x) (.f64 z z))
(.f64 (.f64 z z) (/.f64 y x))
(.f64 z (.f64 y (/.f64 z x)))
(.f64 (.f64 y z) (/.f64 z x))
(.f64 y (.f64 z (/.f64 z x)))
(*.f64 y (/.f64 z (/.f64 x z)))
(/.f64 (*.f64 y (pow.f64 z 2)) x)
(/.f64 y (/.f64 x (*.f64 z z)))
(.f64 (/.f64 y x) (.f64 z z))
(.f64 (.f64 z z) (/.f64 y x))
(.f64 z (.f64 y (/.f64 z x)))
(.f64 (.f64 y z) (/.f64 z x))
(.f64 y (.f64 z (/.f64 z x)))
(*.f64 y (/.f64 z (/.f64 x z)))
(/.f64 (*.f64 y (pow.f64 z 2)) x)
(/.f64 y (/.f64 x (*.f64 z z)))
(.f64 (/.f64 y x) (.f64 z z))
(.f64 (.f64 z z) (/.f64 y x))
(.f64 z (.f64 y (/.f64 z x)))
(.f64 (.f64 y z) (/.f64 z x))
(.f64 y (.f64 z (/.f64 z x)))
(*.f64 y (/.f64 z (/.f64 x z)))
(/.f64 (*.f64 y (pow.f64 z 2)) x)
(/.f64 y (/.f64 x (*.f64 z z)))
(.f64 (/.f64 y x) (.f64 z z))
(.f64 (.f64 z z) (/.f64 y x))
(.f64 z (.f64 y (/.f64 z x)))
(.f64 (.f64 y z) (/.f64 z x))
(.f64 y (.f64 z (/.f64 z x)))
(*.f64 y (/.f64 z (/.f64 x z)))
(/.f64 (*.f64 y (pow.f64 z 2)) x)
(/.f64 y (/.f64 x (*.f64 z z)))
(.f64 (/.f64 y x) (.f64 z z))
(.f64 (.f64 z z) (/.f64 y x))
(.f64 z (.f64 y (/.f64 z x)))
(.f64 (.f64 y z) (/.f64 z x))
(.f64 y (.f64 z (/.f64 z x)))
(*.f64 y (/.f64 z (/.f64 x z)))
(/.f64 (*.f64 y (pow.f64 z 2)) x)
(/.f64 y (/.f64 x (*.f64 z z)))
(.f64 (/.f64 y x) (.f64 z z))
(.f64 (.f64 z z) (/.f64 y x))
(.f64 z (.f64 y (/.f64 z x)))
(.f64 (.f64 y z) (/.f64 z x))
(.f64 y (.f64 z (/.f64 z x)))
(*.f64 y (/.f64 z (/.f64 x z)))
(/.f64 (*.f64 y (pow.f64 z 2)) x)
(/.f64 y (/.f64 x (*.f64 z z)))
(.f64 (/.f64 y x) (.f64 z z))
(.f64 (.f64 z z) (/.f64 y x))
(.f64 z (.f64 y (/.f64 z x)))
(.f64 (.f64 y z) (/.f64 z x))
(.f64 y (.f64 z (/.f64 z x)))
(*.f64 y (/.f64 z (/.f64 x z)))
(/.f64 (*.f64 y (pow.f64 z 2)) x)
(/.f64 y (/.f64 x (*.f64 z z)))
(.f64 (/.f64 y x) (.f64 z z))
(.f64 (.f64 z z) (/.f64 y x))
(.f64 z (.f64 y (/.f64 z x)))
(.f64 (.f64 y z) (/.f64 z x))
(.f64 y (.f64 z (/.f64 z x)))
(*.f64 y (/.f64 z (/.f64 x z)))

localize15.0ms (0.1%)

Local error

Found 8 expressions with local error:

New	Error	Program
	0.0b	(*.f64 -13888888888889/5000000000000000 z)
	0.0b	(+.f64 (.f64 (.f64 (+.f64 y 7936500793651/10000000000000000) z) z) (*.f64 -13888888888889/5000000000000000 z))
	0.0b	(+.f64 (+.f64 (.f64 -1/2 (log.f64 x)) 91893853320467/100000000000000) (/.f64 (+.f64 (+.f64 (.f64 (.f64 (+.f64 y 7936500793651/10000000000000000) z) z) (.f64 -13888888888889/5000000000000000 z)) 83333333333333/1000000000000000) x))
	0.0b	(+.f64 y 7936500793651/10000000000000000)
✓	0.1b	(*.f64 (+.f64 y 7936500793651/10000000000000000) z)
	0.2b	(.f64 (.f64 (+.f64 y 7936500793651/10000000000000000) z) z)
✓	0.3b	(+.f64 (*.f64 -1/2 (log.f64 x)) 91893853320467/100000000000000)
	5.0b	(/.f64 (+.f64 (+.f64 (.f64 (.f64 (+.f64 y 7936500793651/10000000000000000) z) z) (*.f64 -13888888888889/5000000000000000 z)) 83333333333333/1000000000000000) x)

series3.0ms (0%)

Counts

2 → 36

Calls

9 calls:

Time	Variable		Point	Expression
1.0ms	x	@	0	(+.f64 (*.f64 -1/2 (log.f64 x)) 91893853320467/100000000000000)
0.0ms	x	@	-inf	(+.f64 (*.f64 -1/2 (log.f64 x)) 91893853320467/100000000000000)
0.0ms	x	@	inf	(+.f64 (*.f64 -1/2 (log.f64 x)) 91893853320467/100000000000000)
0.0ms	z	@	-inf	(*.f64 (+.f64 y 7936500793651/10000000000000000) z)
0.0ms	z	@	inf	(*.f64 (+.f64 y 7936500793651/10000000000000000) z)

rewrite63.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

545×	`log-prod_binary64`
327×	`pow2_binary64`
322×	`pow-prod-down_binary64`
230×	`prod-diff_binary64`
229×	`expm1-udef_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	14
1	259	14
2	3146	14

Stop Event

1×	node limit

Counts

2 → 78

Calls

Call 1

Inputs
(+.f64 (*.f64 -1/2 (log.f64 x)) 91893853320467/100000000000000)
(*.f64 (+.f64 y 7936500793651/10000000000000000) z)

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 -1/2 (log.f64 x) 91893853320467/100000000000000))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 1/4 (pow.f64 (log.f64 x) 2)) (fma.f64 -1/2 (log.f64 x) -91893853320467/100000000000000)) (/.f64 8444480278083503881401098089/10000000000000000000000000000 (fma.f64 -1/2 (log.f64 x) -91893853320467/100000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 -1/2 (log.f64 x) 91893853320467/100000000000000) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 -1/2 (log.f64 x) 91893853320467/100000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 -1/2 (log.f64 x) 91893853320467/100000000000000)) (pow.f64 (cbrt.f64 (fma.f64 -1/2 (log.f64 x) 91893853320467/100000000000000)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/2 (log.f64 x) 91893853320467/100000000000000)) 2) (cbrt.f64 (fma.f64 -1/2 (log.f64 x) 91893853320467/100000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 -1/2 (log.f64 x) 91893853320467/100000000000000)) (sqrt.f64 (fma.f64 -1/2 (log.f64 x) 91893853320467/100000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 -1/8 (pow.f64 (log.f64 x) 3) 775995832041781888678988180190112618287563/1000000000000000000000000000000000000000000) (/.f64 1 (-.f64 (fma.f64 1/4 (pow.f64 (log.f64 x) 2) 8444480278083503881401098089/10000000000000000000000000000) (*.f64 (log.f64 x) -91893853320467/200000000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 1/4 (pow.f64 (log.f64 x) 2) -8444480278083503881401098089/10000000000000000000000000000) (/.f64 1 (fma.f64 -1/2 (log.f64 x) -91893853320467/100000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 (fma.f64 1/4 (pow.f64 (log.f64 x) 2) 8444480278083503881401098089/10000000000000000000000000000) (*.f64 (log.f64 x) -91893853320467/200000000000000)) (fma.f64 -1/8 (pow.f64 (log.f64 x) 3) 775995832041781888678988180190112618287563/1000000000000000000000000000000000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 -1/2 (log.f64 x) -91893853320467/100000000000000) (fma.f64 1/4 (pow.f64 (log.f64 x) 2) -8444480278083503881401098089/10000000000000000000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 -1/8 (pow.f64 (log.f64 x) 3) 775995832041781888678988180190112618287563/1000000000000000000000000000000000000000000) (-.f64 (fma.f64 1/4 (pow.f64 (log.f64 x) 2) 8444480278083503881401098089/10000000000000000000000000000) (*.f64 (log.f64 x) -91893853320467/200000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 -1/8 (pow.f64 (log.f64 x) 3) 775995832041781888678988180190112618287563/1000000000000000000000000000000000000000000) (+.f64 8444480278083503881401098089/10000000000000000000000000000 (-.f64 (*.f64 1/4 (pow.f64 (log.f64 x) 2)) (*.f64 (log.f64 x) -91893853320467/200000000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 1/4 (pow.f64 (log.f64 x) 2) -8444480278083503881401098089/10000000000000000000000000000) (fma.f64 -1/2 (log.f64 x) -91893853320467/100000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (fma.f64 -1/8 (pow.f64 (log.f64 x) 3) 775995832041781888678988180190112618287563/1000000000000000000000000000000000000000000)) (neg.f64 (-.f64 (fma.f64 1/4 (pow.f64 (log.f64 x) 2) 8444480278083503881401098089/10000000000000000000000000000) (*.f64 (log.f64 x) -91893853320467/200000000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (fma.f64 1/4 (pow.f64 (log.f64 x) 2) -8444480278083503881401098089/10000000000000000000000000000)) (neg.f64 (fma.f64 -1/2 (log.f64 x) -91893853320467/100000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 8444480278083503881401098089/10000000000000000000000000000 (*.f64 1/4 (pow.f64 (log.f64 x) 2))) (-.f64 91893853320467/100000000000000 (*.f64 -1/2 (log.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 -1/2 (log.f64 x) 91893853320467/100000000000000) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 -1/2 (log.f64 x) 91893853320467/100000000000000) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 -1/2 (log.f64 x) 91893853320467/100000000000000) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 -1/2 (log.f64 x) 91893853320467/100000000000000)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 -1/2 (log.f64 x) 91893853320467/100000000000000)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (-.f64 (fma.f64 1/4 (pow.f64 (log.f64 x) 2) 8444480278083503881401098089/10000000000000000000000000000) (*.f64 (log.f64 x) -91893853320467/200000000000000)) (fma.f64 -1/8 (pow.f64 (log.f64 x) 3) 775995832041781888678988180190112618287563/1000000000000000000000000000000000000000000)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 -1/2 (log.f64 x) -91893853320467/100000000000000) (fma.f64 1/4 (pow.f64 (log.f64 x) 2) -8444480278083503881401098089/10000000000000000000000000000)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 -1/2 (log.f64 x) 91893853320467/100000000000000) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (pow.f64 x -1/2) (exp.f64 91893853320467/100000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 -1/2 (log.f64 x) 91893853320467/100000000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 -1/2 (log.f64 x) 91893853320467/100000000000000) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 -1/2 (log.f64 x) 91893853320467/100000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1/2 (log.f64 x) 91893853320467/100000000000000)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (log.f64 x) -1/2 91893853320467/100000000000000)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 -1/2 (log.f64 x)) 1 91893853320467/100000000000000)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 -1/2 (log.f64 x)) 91893853320467/100000000000000)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 -1/2 (log.f64 x))) (cbrt.f64 (*.f64 1/4 (pow.f64 (log.f64 x) 2))) 91893853320467/100000000000000)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 1/4 (pow.f64 (log.f64 x) 2))) (cbrt.f64 (*.f64 -1/2 (log.f64 x))) 91893853320467/100000000000000)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (log.f64 x)) 2) (*.f64 (cbrt.f64 (log.f64 x)) -1/2) 91893853320467/100000000000000)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 -1/2 (log.f64 x))) (sqrt.f64 (*.f64 -1/2 (log.f64 x))) 91893853320467/100000000000000)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (log.f64 x)) (*.f64 (sqrt.f64 (log.f64 x)) -1/2) 91893853320467/100000000000000)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 -1/2 (pow.f64 (cbrt.f64 (log.f64 x)) 2)) (cbrt.f64 (log.f64 x)) 91893853320467/100000000000000)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 -1/2 (sqrt.f64 (log.f64 x))) (sqrt.f64 (log.f64 x)) 91893853320467/100000000000000)))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 -1/2 (log.f64 x) 91893853320467/100000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 -1/2 (log.f64 x) 91893853320467/100000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 -1/2 (log.f64 x) 91893853320467/100000000000000)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (fma.f64 -1/2 (log.f64 x) 91893853320467/100000000000000))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (fma.f64 -1/2 (log.f64 x) 91893853320467/100000000000000))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 -1/2 (log.f64 x) 91893853320467/100000000000000))) 2))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (+.f64 y 7936500793651/10000000000000000) z))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 y z) (*.f64 7936500793651/10000000000000000 z))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 7936500793651/10000000000000000 z) (*.f64 y z))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 z y) (*.f64 z 7936500793651/10000000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 z 7936500793651/10000000000000000) (*.f64 z y))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 z) (+.f64 y 7936500793651/10000000000000000))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 z) (+.f64 y 7936500793651/10000000000000000)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 z) (+.f64 y 7936500793651/10000000000000000)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 z) (+.f64 y 7936500793651/10000000000000000)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 499904667923684346908081313317095473451/1000000000000000000000000000000000000000000000000 (pow.f64 y 3)) z) (-.f64 (fma.f64 y y 62988044847622952881909801/100000000000000000000000000000000) (*.f64 y 7936500793651/10000000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (fma.f64 y y -62988044847622952881909801/100000000000000000000000000000000) z) (+.f64 y -7936500793651/10000000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 z (+.f64 499904667923684346908081313317095473451/1000000000000000000000000000000000000000000000000 (pow.f64 y 3))) (-.f64 (fma.f64 y y 62988044847622952881909801/100000000000000000000000000000000) (*.f64 y 7936500793651/10000000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 z (fma.f64 y y -62988044847622952881909801/100000000000000000000000000000000)) (+.f64 y -7936500793651/10000000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 z) (+.f64 y 7936500793651/10000000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 y z (*.f64 7936500793651/10000000000000000 z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 7936500793651/10000000000000000 z (*.f64 y z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 z y (*.f64 z 7936500793651/10000000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 z 7936500793651/10000000000000000 (*.f64 z y))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z))) 2))))))

simplify188.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

731×	`unsub-neg_binary64`
668×	`distribute-lft-out--_binary64`
508×	`distribute-neg-in_binary64`
492×	`distribute-rgt-in_binary64`
341×	`sub-neg_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	29	267
1	59	243
2	102	243
3	177	243
4	341	243
5	816	243
6	2519	243
7	3831	243
8	4901	243
9	5335	243
10	5501	243
11	5593	243
12	5622	243
13	5622	243
14	5770	243
15	5924	243
16	5964	243
17	5968	243
18	5972	243
19	5972	243
20	6282	243
21	6646	243
22	6934	243

Stop Event

1×	node limit

Counts

114 → 85

Calls

Call 1

Inputs
(+.f64 91893853320467/100000000000000 (*.f64 -1/2 (log.f64 x)))
(+.f64 91893853320467/100000000000000 (*.f64 -1/2 (log.f64 x)))
(+.f64 91893853320467/100000000000000 (*.f64 -1/2 (log.f64 x)))
(+.f64 91893853320467/100000000000000 (*.f64 -1/2 (log.f64 x)))
(+.f64 91893853320467/100000000000000 (*.f64 1/2 (log.f64 (/.f64 1 x))))
(+.f64 91893853320467/100000000000000 (*.f64 1/2 (log.f64 (/.f64 1 x))))
(+.f64 91893853320467/100000000000000 (*.f64 1/2 (log.f64 (/.f64 1 x))))
(+.f64 91893853320467/100000000000000 (*.f64 1/2 (log.f64 (/.f64 1 x))))
(+.f64 91893853320467/100000000000000 (.f64 -1/2 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))))
(+.f64 91893853320467/100000000000000 (.f64 -1/2 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))))
(+.f64 91893853320467/100000000000000 (.f64 -1/2 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))))
(+.f64 91893853320467/100000000000000 (.f64 -1/2 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))))
(*.f64 7936500793651/10000000000000000 z)
(+.f64 (.f64 y z) (.f64 7936500793651/10000000000000000 z))
(+.f64 (.f64 y z) (.f64 7936500793651/10000000000000000 z))
(+.f64 (.f64 y z) (.f64 7936500793651/10000000000000000 z))
(*.f64 y z)
(+.f64 (.f64 y z) (.f64 7936500793651/10000000000000000 z))
(+.f64 (.f64 y z) (.f64 7936500793651/10000000000000000 z))
(+.f64 (.f64 y z) (.f64 7936500793651/10000000000000000 z))
(*.f64 y z)
(+.f64 (.f64 y z) (.f64 7936500793651/10000000000000000 z))
(+.f64 (.f64 y z) (.f64 7936500793651/10000000000000000 z))
(+.f64 (.f64 y z) (.f64 7936500793651/10000000000000000 z))
(*.f64 z (+.f64 7936500793651/10000000000000000 y))
(*.f64 z (+.f64 7936500793651/10000000000000000 y))
(*.f64 z (+.f64 7936500793651/10000000000000000 y))
(*.f64 z (+.f64 7936500793651/10000000000000000 y))
(*.f64 z (+.f64 7936500793651/10000000000000000 y))
(*.f64 z (+.f64 7936500793651/10000000000000000 y))
(*.f64 z (+.f64 7936500793651/10000000000000000 y))
(*.f64 z (+.f64 7936500793651/10000000000000000 y))
(*.f64 z (+.f64 7936500793651/10000000000000000 y))
(*.f64 z (+.f64 7936500793651/10000000000000000 y))
(*.f64 z (+.f64 7936500793651/10000000000000000 y))
(*.f64 z (+.f64 7936500793651/10000000000000000 y))

Outputs
(+.f64 91893853320467/100000000000000 (*.f64 -1/2 (log.f64 x)))
(fma.f64 -1/2 (log.f64 x) 91893853320467/100000000000000)
(+.f64 91893853320467/100000000000000 (*.f64 -1/2 (log.f64 x)))
(fma.f64 -1/2 (log.f64 x) 91893853320467/100000000000000)
(+.f64 91893853320467/100000000000000 (*.f64 -1/2 (log.f64 x)))
(fma.f64 -1/2 (log.f64 x) 91893853320467/100000000000000)
(+.f64 91893853320467/100000000000000 (*.f64 -1/2 (log.f64 x)))
(fma.f64 -1/2 (log.f64 x) 91893853320467/100000000000000)
(+.f64 91893853320467/100000000000000 (*.f64 1/2 (log.f64 (/.f64 1 x))))
(+.f64 91893853320467/100000000000000 (*.f64 -1/2 (log.f64 x)))
(fma.f64 -1/2 (log.f64 x) 91893853320467/100000000000000)
(+.f64 91893853320467/100000000000000 (*.f64 1/2 (log.f64 (/.f64 1 x))))
(+.f64 91893853320467/100000000000000 (*.f64 -1/2 (log.f64 x)))
(fma.f64 -1/2 (log.f64 x) 91893853320467/100000000000000)
(+.f64 91893853320467/100000000000000 (*.f64 1/2 (log.f64 (/.f64 1 x))))
(+.f64 91893853320467/100000000000000 (*.f64 -1/2 (log.f64 x)))
(fma.f64 -1/2 (log.f64 x) 91893853320467/100000000000000)
(+.f64 91893853320467/100000000000000 (*.f64 1/2 (log.f64 (/.f64 1 x))))
(+.f64 91893853320467/100000000000000 (*.f64 -1/2 (log.f64 x)))
(fma.f64 -1/2 (log.f64 x) 91893853320467/100000000000000)
(+.f64 91893853320467/100000000000000 (.f64 -1/2 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))))
(+.f64 91893853320467/100000000000000 (*.f64 -1/2 (log.f64 x)))
(fma.f64 -1/2 (log.f64 x) 91893853320467/100000000000000)
(+.f64 91893853320467/100000000000000 (.f64 -1/2 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))))
(+.f64 91893853320467/100000000000000 (*.f64 -1/2 (log.f64 x)))
(fma.f64 -1/2 (log.f64 x) 91893853320467/100000000000000)
(+.f64 91893853320467/100000000000000 (.f64 -1/2 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))))
(+.f64 91893853320467/100000000000000 (*.f64 -1/2 (log.f64 x)))
(fma.f64 -1/2 (log.f64 x) 91893853320467/100000000000000)
(+.f64 91893853320467/100000000000000 (.f64 -1/2 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))))
(+.f64 91893853320467/100000000000000 (*.f64 -1/2 (log.f64 x)))
(fma.f64 -1/2 (log.f64 x) 91893853320467/100000000000000)
(*.f64 7936500793651/10000000000000000 z)
(+.f64 (.f64 y z) (.f64 7936500793651/10000000000000000 z))
(*.f64 z (+.f64 7936500793651/10000000000000000 y))
(+.f64 (.f64 y z) (.f64 7936500793651/10000000000000000 z))
(*.f64 z (+.f64 7936500793651/10000000000000000 y))
(+.f64 (.f64 y z) (.f64 7936500793651/10000000000000000 z))
(*.f64 z (+.f64 7936500793651/10000000000000000 y))
(*.f64 y z)
(*.f64 z y)
(+.f64 (.f64 y z) (.f64 7936500793651/10000000000000000 z))
(*.f64 z (+.f64 7936500793651/10000000000000000 y))
(+.f64 (.f64 y z) (.f64 7936500793651/10000000000000000 z))
(*.f64 z (+.f64 7936500793651/10000000000000000 y))
(+.f64 (.f64 y z) (.f64 7936500793651/10000000000000000 z))
(*.f64 z (+.f64 7936500793651/10000000000000000 y))
(*.f64 y z)
(*.f64 z y)
(+.f64 (.f64 y z) (.f64 7936500793651/10000000000000000 z))
(*.f64 z (+.f64 7936500793651/10000000000000000 y))
(+.f64 (.f64 y z) (.f64 7936500793651/10000000000000000 z))
(*.f64 z (+.f64 7936500793651/10000000000000000 y))
(+.f64 (.f64 y z) (.f64 7936500793651/10000000000000000 z))
(*.f64 z (+.f64 7936500793651/10000000000000000 y))
(*.f64 z (+.f64 7936500793651/10000000000000000 y))
(*.f64 z (+.f64 7936500793651/10000000000000000 y))
(*.f64 z (+.f64 7936500793651/10000000000000000 y))
(*.f64 z (+.f64 7936500793651/10000000000000000 y))
(*.f64 z (+.f64 7936500793651/10000000000000000 y))
(*.f64 z (+.f64 7936500793651/10000000000000000 y))
(*.f64 z (+.f64 7936500793651/10000000000000000 y))
(*.f64 z (+.f64 7936500793651/10000000000000000 y))
(*.f64 z (+.f64 7936500793651/10000000000000000 y))
(*.f64 z (+.f64 7936500793651/10000000000000000 y))
(*.f64 z (+.f64 7936500793651/10000000000000000 y))
(*.f64 z (+.f64 7936500793651/10000000000000000 y))

localize12.0ms (0.1%)

Local error

Found 8 expressions with local error:

New	Error	Program
	0.3b	(/.f64 83333333333333/1000000000000000 x)
	0.2b	(-.f64 (pow.f64 (cbrt.f64 (*.f64 (+.f64 x -1/2) (log.f64 x))) 3) x)
	0.1b	(*.f64 (+.f64 x -1/2) (log.f64 x))
	0.1b	(+.f64 (-.f64 (pow.f64 (cbrt.f64 (*.f64 (+.f64 x -1/2) (log.f64 x))) 3) x) 91893853320467/100000000000000)
✓	0.2b	(-.f64 (pow.f64 (cbrt.f64 (*.f64 (+.f64 x -1/2) (log.f64 x))) 3) x)
	0.3b	(/.f64 83333333333333/1000000000000000 x)
✓	0.5b	(cbrt.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)))
✓	0.7b	(pow.f64 (cbrt.f64 (*.f64 (+.f64 x -1/2) (log.f64 x))) 3)

series15.0ms (0.1%)

Counts

3 → 14

Calls

9 calls:

Time	Variable		Point	Expression
7.0ms	x	@	0	(pow.f64 (cbrt.f64 (*.f64 (+.f64 x -1/2) (log.f64 x))) 3)
2.0ms	x	@	-inf	(pow.f64 (cbrt.f64 (*.f64 (+.f64 x -1/2) (log.f64 x))) 3)
1.0ms	x	@	inf	(pow.f64 (cbrt.f64 (*.f64 (+.f64 x -1/2) (log.f64 x))) 3)
1.0ms	x	@	0	(-.f64 (pow.f64 (cbrt.f64 (*.f64 (+.f64 x -1/2) (log.f64 x))) 3) x)
1.0ms	x	@	0	(cbrt.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)))

rewrite75.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

876×	`prod-diff_binary64`
448×	`log-prod_binary64`
342×	`fma-def_binary64`
323×	`pow-prod-down_binary64`
254×	`pow2_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	32
1	227	32
2	2713	32

Stop Event

1×	node limit

Counts

3 → 201

Calls

Call 1

Inputs
(pow.f64 (cbrt.f64 (*.f64 (+.f64 x -1/2) (log.f64 x))) 3)
(cbrt.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)))
(-.f64 (pow.f64 (cbrt.f64 (*.f64 (+.f64 x -1/2) (log.f64 x))) 3) x)

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (+.f64 x -1/2) (log.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (log.f64 x)) (*.f64 -1/2 (log.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 -1/2 (log.f64 x)) (*.f64 x (log.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (log.f64 x) x) (*.f64 (log.f64 x) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (log.f64 x) -1/2) (*.f64 (log.f64 x) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 x (+.f64 x -1/2))) 2)) (log.f64 (cbrt.f64 (pow.f64 x (+.f64 x -1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 x (+.f64 x -1/2)))) (log.f64 (sqrt.f64 (pow.f64 x (+.f64 x -1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 x -1/2) (log.f64 x))))) (#(struct:change #<rule egg-rr> 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-1/2) (log.f64 x))) (cbrt.f64 (cbrt.f64 (*.f64 (+.f64 x -1/2) (log.f64 x))))) 2) (cbrt.f64 (cbrt.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)))) (*.f64 (neg.f64 x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 (+.f64 x -1/2) (log.f64 x))) 2) (cbrt.f64 (+.f64 x -1/2))) (cbrt.f64 (log.f64 x)) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 (+.f64 x -1/2) (log.f64 x))) 2) (cbrt.f64 (+.f64 x -1/2))) (cbrt.f64 (log.f64 x)) (*.f64 (neg.f64 x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 (+.f64 x -1/2) (log.f64 x))) 2) (pow.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) 1/6)) (pow.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) 1/6) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 (+.f64 x -1/2) (log.f64 x))) 2) (pow.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) 1/6)) (pow.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) 1/6) (*.f64 (neg.f64 x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (neg.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (neg.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (neg.f64 x))) 1))))))

simplify65.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

904×	`times-frac_binary64`
733×	`fma-def_binary64`
500×	`associate-/r/_binary64`
398×	`*-commutative_binary64`
340×	`associate-/l/_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	152	1548
1	497	1265
2	1545	1229
3	5420	1201

Stop Event

1×	node limit

Counts

215 → 225

Calls

Call 1

Inputs
(.f64 -1/2 (.f64 (pow.f64 1 1/3) (log.f64 x)))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 1 1/3) (log.f64 x))) (.f64 (+.f64 (.f64 1/3 (.f64 (pow.f64 (pow.f64 (cbrt.f64 -1/2) 4) 1/3) (pow.f64 (.f64 (pow.f64 1 4) (pow.f64 (log.f64 x) 13)) 1/9))) (.f64 2/3 (.f64 (pow.f64 (pow.f64 (cbrt.f64 -1/2) 4) 1/3) (pow.f64 (*.f64 (pow.f64 1 4) (pow.f64 (log.f64 x) 13)) 1/9)))) x))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 1 1/3) (log.f64 x))) (+.f64 (.f64 (+.f64 (.f64 2/9 (.f64 (pow.f64 (/.f64 1 (cbrt.f64 -1/2)) 1/3) (pow.f64 (.f64 (pow.f64 1 4) (pow.f64 (log.f64 x) 17)) 1/9))) (+.f64 (.f64 -1/9 (.f64 (pow.f64 (/.f64 1 (cbrt.f64 -1/2)) 1/3) (pow.f64 (.f64 (pow.f64 1 4) (pow.f64 (log.f64 x) 17)) 1/9))) (.f64 (pow.f64 (.f64 1 (log.f64 x)) 1/3) (.f64 (cbrt.f64 -1/2) (+.f64 (.f64 -2/9 (.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1/2) 4)) 1/3) (pow.f64 (.f64 (pow.f64 1 4) (pow.f64 (log.f64 x) 14)) 1/9))) (.f64 1/9 (.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1/2) 4)) 1/3) (pow.f64 (.f64 (pow.f64 1 4) (pow.f64 (log.f64 x) 14)) 1/9)))))))) (pow.f64 x 2)) (.f64 (+.f64 (.f64 1/3 (.f64 (pow.f64 (pow.f64 (cbrt.f64 -1/2) 4) 1/3) (pow.f64 (.f64 (pow.f64 1 4) (pow.f64 (log.f64 x) 13)) 1/9))) (.f64 2/3 (.f64 (pow.f64 (pow.f64 (cbrt.f64 -1/2) 4) 1/3) (pow.f64 (*.f64 (pow.f64 1 4) (pow.f64 (log.f64 x) 13)) 1/9)))) x)))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 1 1/3) (log.f64 x))) (+.f64 (.f64 (+.f64 (.f64 2/9 (.f64 (pow.f64 (/.f64 1 (cbrt.f64 -1/2)) 1/3) (pow.f64 (.f64 (pow.f64 1 4) (pow.f64 (log.f64 x) 17)) 1/9))) (+.f64 (.f64 -1/9 (.f64 (pow.f64 (/.f64 1 (cbrt.f64 -1/2)) 1/3) (pow.f64 (.f64 (pow.f64 1 4) (pow.f64 (log.f64 x) 17)) 1/9))) (.f64 (pow.f64 (.f64 1 (log.f64 x)) 1/3) (.f64 (cbrt.f64 -1/2) (+.f64 (.f64 -2/9 (.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1/2) 4)) 1/3) (pow.f64 (.f64 (pow.f64 1 4) (pow.f64 (log.f64 x) 14)) 1/9))) (.f64 1/9 (.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1/2) 4)) 1/3) (pow.f64 (.f64 (pow.f64 1 4) (pow.f64 (log.f64 x) 14)) 1/9)))))))) (pow.f64 x 2)) (+.f64 (.f64 (+.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1/2) 2)) 1/3) (.f64 (pow.f64 (.f64 (pow.f64 1 4) (pow.f64 (log.f64 x) 7)) 1/9) (+.f64 (.f64 -2/9 (.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1/2) 4)) 1/3) (pow.f64 (.f64 (pow.f64 1 4) (pow.f64 (log.f64 x) 14)) 1/9))) (.f64 1/9 (.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1/2) 4)) 1/3) (pow.f64 (.f64 (pow.f64 1 4) (pow.f64 (log.f64 x) 14)) 1/9))))))) (+.f64 (.f64 -2/27 (.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1/2) 2)) (.f64 (pow.f64 (pow.f64 1 4) 1/9) (pow.f64 (pow.f64 (log.f64 x) 7) 1/3)))) (+.f64 (.f64 -1/3 (.f64 (pow.f64 1 1/3) (+.f64 (.f64 1/27 (.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1/2) 2)) (pow.f64 (.f64 1 (pow.f64 (log.f64 x) 7)) 1/3))) (.f64 -2/9 (.f64 (pow.f64 (pow.f64 1 4) 1/9) (.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1/2) 2)) (pow.f64 (pow.f64 (log.f64 x) 7) 1/3))))))) (.f64 (pow.f64 (.f64 1 (log.f64 x)) 1/3) (.f64 (cbrt.f64 -1/2) (+.f64 (.f64 4/27 (.f64 (pow.f64 1 1/9) (pow.f64 (log.f64 x) 2))) (.f64 -2/3 (.f64 (pow.f64 (/.f64 1 (log.f64 x)) 1/3) (/.f64 (+.f64 (.f64 1/27 (.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1/2) 2)) (pow.f64 (.f64 1 (pow.f64 (log.f64 x) 7)) 1/3))) (.f64 -2/9 (.f64 (pow.f64 (pow.f64 1 4) 1/9) (.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1/2) 2)) (pow.f64 (pow.f64 (log.f64 x) 7) 1/3))))) (cbrt.f64 -1/2)))))))))) (pow.f64 x 3)) (.f64 (+.f64 (.f64 1/3 (.f64 (pow.f64 (pow.f64 (cbrt.f64 -1/2) 4) 1/3) (pow.f64 (.f64 (pow.f64 1 4) (pow.f64 (log.f64 x) 13)) 1/9))) (.f64 2/3 (.f64 (pow.f64 (pow.f64 (cbrt.f64 -1/2) 4) 1/3) (pow.f64 (.f64 (pow.f64 1 4) (pow.f64 (log.f64 x) 13)) 1/9)))) x))))
(.f64 (cbrt.f64 -1/2) (pow.f64 (.f64 1 (log.f64 x)) 1/3))
(+.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1/2) 2)) 1/3) (.f64 (pow.f64 (.f64 (pow.f64 1 4) (pow.f64 (log.f64 x) 7)) 1/9) x))) (.f64 (cbrt.f64 -1/2) (pow.f64 (.f64 1 (log.f64 x)) 1/3)))
(+.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1/2) 2)) 1/3) (.f64 (pow.f64 (.f64 (pow.f64 1 4) (pow.f64 (log.f64 x) 7)) 1/9) x))) (+.f64 (.f64 (cbrt.f64 -1/2) (pow.f64 (.f64 1 (log.f64 x)) 1/3)) (.f64 -1/9 (.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1/2) 7)) 1/3) (.f64 (pow.f64 (.f64 (pow.f64 1 4) (pow.f64 (log.f64 x) 11)) 1/9) (pow.f64 x 2))))))
(+.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1/2) 2)) 1/3) (.f64 (pow.f64 (.f64 (pow.f64 1 4) (pow.f64 (log.f64 x) 7)) 1/9) x))) (+.f64 (.f64 -1/3 (.f64 (/.f64 (.f64 (+.f64 (.f64 1/27 (.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1/2) 2)) (pow.f64 (.f64 1 (pow.f64 (log.f64 x) 7)) 1/3))) (.f64 -2/9 (.f64 (pow.f64 (pow.f64 1 4) 1/9) (.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1/2) 2)) (pow.f64 (pow.f64 (log.f64 x) 7) 1/3))))) (pow.f64 x 3)) (pow.f64 (cbrt.f64 -1/2) 2)) (pow.f64 (/.f64 1 (pow.f64 (log.f64 x) 2)) 1/3))) (+.f64 (.f64 (cbrt.f64 -1/2) (pow.f64 (.f64 1 (log.f64 x)) 1/3)) (.f64 -1/9 (.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1/2) 7)) 1/3) (.f64 (pow.f64 (*.f64 (pow.f64 1 4) (pow.f64 (log.f64 x) 11)) 1/9) (pow.f64 x 2)))))))
(.f64 -1/2 (.f64 (pow.f64 1 1/3) (log.f64 x)))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 1 1/3) (log.f64 x))) (.f64 (-.f64 (+.f64 (.f64 1/3 (.f64 (pow.f64 (pow.f64 (cbrt.f64 -1/2) 4) 1/3) (pow.f64 (.f64 (pow.f64 1 4) (pow.f64 (log.f64 x) 13)) 1/9))) (.f64 2/3 (.f64 (pow.f64 (pow.f64 (cbrt.f64 -1/2) 4) 1/3) (pow.f64 (*.f64 (pow.f64 1 4) (pow.f64 (log.f64 x) 13)) 1/9)))) 1) x))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 1 1/3) (log.f64 x))) (+.f64 (.f64 (+.f64 (.f64 2/9 (.f64 (pow.f64 (/.f64 1 (cbrt.f64 -1/2)) 1/3) (pow.f64 (.f64 (pow.f64 1 4) (pow.f64 (log.f64 x) 17)) 1/9))) (+.f64 (.f64 -1/9 (.f64 (pow.f64 (/.f64 1 (cbrt.f64 -1/2)) 1/3) (pow.f64 (.f64 (pow.f64 1 4) (pow.f64 (log.f64 x) 17)) 1/9))) (.f64 (.f64 (cbrt.f64 -1/2) (+.f64 (.f64 -2/9 (.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1/2) 4)) 1/3) (pow.f64 (.f64 (pow.f64 1 4) (pow.f64 (log.f64 x) 14)) 1/9))) (.f64 1/9 (.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1/2) 4)) 1/3) (pow.f64 (.f64 (pow.f64 1 4) (pow.f64 (log.f64 x) 14)) 1/9))))) (pow.f64 (.f64 1 (log.f64 x)) 1/3)))) (pow.f64 x 2)) (.f64 (-.f64 (+.f64 (.f64 1/3 (.f64 (pow.f64 (pow.f64 (cbrt.f64 -1/2) 4) 1/3) (pow.f64 (.f64 (pow.f64 1 4) (pow.f64 (log.f64 x) 13)) 1/9))) (.f64 2/3 (.f64 (pow.f64 (pow.f64 (cbrt.f64 -1/2) 4) 1/3) (pow.f64 (*.f64 (pow.f64 1 4) (pow.f64 (log.f64 x) 13)) 1/9)))) 1) x)))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 1 1/3) (log.f64 x))) (+.f64 (.f64 (+.f64 (.f64 2/9 (.f64 (pow.f64 (/.f64 1 (cbrt.f64 -1/2)) 1/3) (pow.f64 (.f64 (pow.f64 1 4) (pow.f64 (log.f64 x) 17)) 1/9))) (+.f64 (.f64 -1/9 (.f64 (pow.f64 (/.f64 1 (cbrt.f64 -1/2)) 1/3) (pow.f64 (.f64 (pow.f64 1 4) (pow.f64 (log.f64 x) 17)) 1/9))) (.f64 (.f64 (cbrt.f64 -1/2) (+.f64 (.f64 -2/9 (.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1/2) 4)) 1/3) (pow.f64 (.f64 (pow.f64 1 4) (pow.f64 (log.f64 x) 14)) 1/9))) (.f64 1/9 (.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1/2) 4)) 1/3) (pow.f64 (.f64 (pow.f64 1 4) (pow.f64 (log.f64 x) 14)) 1/9))))) (pow.f64 (.f64 1 (log.f64 x)) 1/3)))) (pow.f64 x 2)) (+.f64 (.f64 (-.f64 (+.f64 (.f64 1/3 (.f64 (pow.f64 (pow.f64 (cbrt.f64 -1/2) 4) 1/3) (pow.f64 (.f64 (pow.f64 1 4) (pow.f64 (log.f64 x) 13)) 1/9))) (.f64 2/3 (.f64 (pow.f64 (pow.f64 (cbrt.f64 -1/2) 4) 1/3) (pow.f64 (.f64 (pow.f64 1 4) (pow.f64 (log.f64 x) 13)) 1/9)))) 1) x) (.f64 (+.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1/2) 2)) 1/3) (.f64 (pow.f64 (.f64 (pow.f64 1 4) (pow.f64 (log.f64 x) 7)) 1/9) (+.f64 (.f64 -2/9 (.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1/2) 4)) 1/3) (pow.f64 (.f64 (pow.f64 1 4) (pow.f64 (log.f64 x) 14)) 1/9))) (.f64 1/9 (.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1/2) 4)) 1/3) (pow.f64 (.f64 (pow.f64 1 4) (pow.f64 (log.f64 x) 14)) 1/9))))))) (+.f64 (.f64 -2/27 (.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1/2) 2)) (.f64 (pow.f64 (pow.f64 1 4) 1/9) (pow.f64 (pow.f64 (log.f64 x) 7) 1/3)))) (+.f64 (.f64 (.f64 (cbrt.f64 -1/2) (+.f64 (.f64 4/27 (.f64 (pow.f64 1 1/9) (pow.f64 (log.f64 x) 2))) (.f64 -2/3 (.f64 (pow.f64 (/.f64 1 (log.f64 x)) 1/3) (/.f64 (+.f64 (.f64 1/27 (.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1/2) 2)) (pow.f64 (.f64 1 (pow.f64 (log.f64 x) 7)) 1/3))) (.f64 -2/9 (.f64 (pow.f64 (pow.f64 1 4) 1/9) (.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1/2) 2)) (pow.f64 (pow.f64 (log.f64 x) 7) 1/3))))) (cbrt.f64 -1/2)))))) (pow.f64 (.f64 1 (log.f64 x)) 1/3)) (.f64 -1/3 (.f64 (pow.f64 1 1/3) (+.f64 (.f64 1/27 (.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1/2) 2)) (pow.f64 (.f64 1 (pow.f64 (log.f64 x) 7)) 1/3))) (.f64 -2/9 (.f64 (pow.f64 (pow.f64 1 4) 1/9) (.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1/2) 2)) (pow.f64 (pow.f64 (log.f64 x) 7) 1/3)))))))))) (pow.f64 x 3)))))
(*.f64 -1 x)
(*.f64 -1 x)

Outputs
(.f64 -1/2 (.f64 (pow.f64 1 1/3) (log.f64 x)))
(*.f64 -1/2 (log.f64 x))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 1 1/3) (log.f64 x))) (.f64 (+.f64 (.f64 1/3 (.f64 (pow.f64 (pow.f64 (cbrt.f64 -1/2) 4) 1/3) (pow.f64 (.f64 (pow.f64 1 4) (pow.f64 (log.f64 x) 13)) 1/9))) (.f64 2/3 (.f64 (pow.f64 (pow.f64 (cbrt.f64 -1/2) 4) 1/3) (pow.f64 (*.f64 (pow.f64 1 4) (pow.f64 (log.f64 x) 13)) 1/9)))) x))
(fma.f64 -1/2 (log.f64 x) (.f64 x (.f64 (.f64 (cbrt.f64 (pow.f64 (cbrt.f64 -1/2) 4)) (.f64 (pow.f64 (pow.f64 (log.f64 x) 13) 1/18) (pow.f64 (pow.f64 (log.f64 x) 13) 1/18))) 1)))
(fma.f64 -1/2 (log.f64 x) (.f64 x (.f64 (cbrt.f64 (pow.f64 (cbrt.f64 -1/2) 4)) (*.f64 (pow.f64 (pow.f64 (log.f64 x) 13) 1/18) (pow.f64 (pow.f64 (log.f64 x) 13) 1/18)))))
(fma.f64 x (.f64 (cbrt.f64 (.f64 -1/2 (cbrt.f64 -1/2))) (.f64 (pow.f64 (pow.f64 (log.f64 x) 13) 1/18) (pow.f64 (pow.f64 (log.f64 x) 13) 1/18))) (.f64 -1/2 (log.f64 x)))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 1 1/3) (log.f64 x))) (+.f64 (.f64 (+.f64 (.f64 2/9 (.f64 (pow.f64 (/.f64 1 (cbrt.f64 -1/2)) 1/3) (pow.f64 (.f64 (pow.f64 1 4) (pow.f64 (log.f64 x) 17)) 1/9))) (+.f64 (.f64 -1/9 (.f64 (pow.f64 (/.f64 1 (cbrt.f64 -1/2)) 1/3) (pow.f64 (.f64 (pow.f64 1 4) (pow.f64 (log.f64 x) 17)) 1/9))) (.f64 (pow.f64 (.f64 1 (log.f64 x)) 1/3) (.f64 (cbrt.f64 -1/2) (+.f64 (.f64 -2/9 (.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1/2) 4)) 1/3) (pow.f64 (.f64 (pow.f64 1 4) (pow.f64 (log.f64 x) 14)) 1/9))) (.f64 1/9 (.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1/2) 4)) 1/3) (pow.f64 (.f64 (pow.f64 1 4) (pow.f64 (log.f64 x) 14)) 1/9)))))))) (pow.f64 x 2)) (.f64 (+.f64 (.f64 1/3 (.f64 (pow.f64 (pow.f64 (cbrt.f64 -1/2) 4) 1/3) (pow.f64 (.f64 (pow.f64 1 4) (pow.f64 (log.f64 x) 13)) 1/9))) (.f64 2/3 (.f64 (pow.f64 (pow.f64 (cbrt.f64 -1/2) 4) 1/3) (pow.f64 (*.f64 (pow.f64 1 4) (pow.f64 (log.f64 x) 13)) 1/9)))) x)))
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(fma.f64 -1/2 (log.f64 x) (fma.f64 (fma.f64 2/9 (.f64 (cbrt.f64 (/.f64 1 (cbrt.f64 -1/2))) (.f64 (pow.f64 (pow.f64 (log.f64 x) 17) 1/18) (pow.f64 (pow.f64 (log.f64 x) 17) 1/18))) (fma.f64 -1/9 (.f64 (cbrt.f64 (/.f64 1 (cbrt.f64 -1/2))) (.f64 (pow.f64 (pow.f64 (log.f64 x) 17) 1/18) (pow.f64 (pow.f64 (log.f64 x) 17) 1/18))) (.f64 (cbrt.f64 (log.f64 x)) (.f64 (cbrt.f64 -1/2) (.f64 (.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1/2) 4))) (.f64 (pow.f64 (pow.f64 (log.f64 x) 14) 1/18) (pow.f64 (pow.f64 (log.f64 x) 14) 1/18))) -1/9))))) (.f64 x x) (fma.f64 (fma.f64 1/3 (.f64 (.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1/2) 2))) (.f64 (pow.f64 (pow.f64 (log.f64 x) 7) 1/18) (pow.f64 (pow.f64 (log.f64 x) 7) 1/18))) (.f64 (.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1/2) 4))) (.f64 (pow.f64 (pow.f64 (log.f64 x) 14) 1/18) (pow.f64 (pow.f64 (log.f64 x) 14) 1/18))) -1/9)) (fma.f64 -2/27 (.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1/2) 2)) (.f64 1 (cbrt.f64 (pow.f64 (log.f64 x) 7)))) (fma.f64 (.f64 (cbrt.f64 -1/2) (+.f64 (.f64 4/27 (pow.f64 (log.f64 x) 2)) (.f64 -2/3 (.f64 (cbrt.f64 (/.f64 1 (log.f64 x))) (/.f64 (fma.f64 1/27 (.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1/2) 2)) (cbrt.f64 (pow.f64 (log.f64 x) 7))) (.f64 -2/9 (.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1/2) 2)) (cbrt.f64 (pow.f64 (log.f64 x) 7))))) (cbrt.f64 -1/2)))))) (cbrt.f64 (log.f64 x)) (.f64 -1/3 (fma.f64 1/27 (.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1/2) 2)) (cbrt.f64 (pow.f64 (log.f64 x) 7))) (.f64 -2/9 (.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1/2) 2)) (cbrt.f64 (pow.f64 (log.f64 x) 7))))))))) (pow.f64 x 3) (.f64 x (.f64 (.f64 (cbrt.f64 (pow.f64 (cbrt.f64 -1/2) 4)) (*.f64 (pow.f64 (pow.f64 (log.f64 x) 13) 1/18) (pow.f64 (pow.f64 (log.f64 x) 13) 1/18))) 1)))))
(fma.f64 -1/2 (log.f64 x) (fma.f64 (+.f64 (.f64 (.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1/2) 4))) (.f64 (.f64 (pow.f64 (pow.f64 (log.f64 x) 14) 1/18) (pow.f64 (pow.f64 (log.f64 x) 14) 1/18)) -1/9)) (.f64 (cbrt.f64 -1/2) (cbrt.f64 (log.f64 x)))) (.f64 (.f64 (cbrt.f64 (/.f64 1 (cbrt.f64 -1/2))) (.f64 (pow.f64 (pow.f64 (log.f64 x) 17) 1/18) (pow.f64 (pow.f64 (log.f64 x) 17) 1/18))) 1/9)) (.f64 x x) (fma.f64 x (.f64 (cbrt.f64 (pow.f64 (cbrt.f64 -1/2) 4)) (.f64 (pow.f64 (pow.f64 (log.f64 x) 13) 1/18) (pow.f64 (pow.f64 (log.f64 x) 13) 1/18))) (.f64 (fma.f64 1/3 (.f64 (.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1/2) 4))) (.f64 (.f64 (pow.f64 (pow.f64 (log.f64 x) 14) 1/18) (pow.f64 (pow.f64 (log.f64 x) 14) 1/18)) -1/9)) (.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1/2) 2))) (.f64 (pow.f64 (pow.f64 (log.f64 x) 7) 1/18) (pow.f64 (pow.f64 (log.f64 x) 7) 1/18)))) (fma.f64 -2/27 (/.f64 (cbrt.f64 (pow.f64 (log.f64 x) 7)) (pow.f64 (cbrt.f64 -1/2) 2)) (fma.f64 (cbrt.f64 -1/2) (.f64 (cbrt.f64 (log.f64 x)) (fma.f64 4/27 (pow.f64 (log.f64 x) 2) (.f64 (/.f64 (.f64 (/.f64 (cbrt.f64 (pow.f64 (log.f64 x) 7)) (pow.f64 (cbrt.f64 -1/2) 2)) -5/27) (cbrt.f64 -1/2)) (.f64 -2/3 (cbrt.f64 (/.f64 1 (log.f64 x))))))) (.f64 -1/3 (.f64 (/.f64 (cbrt.f64 (pow.f64 (log.f64 x) 7)) (pow.f64 (cbrt.f64 -1/2) 2)) -5/27))))) (pow.f64 x 3)))))
(fma.f64 -1/2 (log.f64 x) (fma.f64 (fma.f64 1/3 (.f64 -1/9 (.f64 (.f64 (cbrt.f64 (/.f64 -2 (cbrt.f64 -1/2))) (.f64 (pow.f64 (pow.f64 (log.f64 x) 14) 1/18) (pow.f64 (pow.f64 (log.f64 x) 14) 1/18))) (.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1/2) 2))) (.f64 (pow.f64 (pow.f64 (log.f64 x) 7) 1/18) (pow.f64 (pow.f64 (log.f64 x) 7) 1/18))))) (fma.f64 (fma.f64 -2/3 (.f64 (/.f64 (cbrt.f64 (/.f64 1 (log.f64 x))) (cbrt.f64 -1/2)) (.f64 (/.f64 (cbrt.f64 (pow.f64 (log.f64 x) 7)) (pow.f64 (cbrt.f64 -1/2) 2)) -5/27)) (.f64 4/27 (pow.f64 (log.f64 x) 2))) (.f64 (cbrt.f64 -1/2) (cbrt.f64 (log.f64 x))) (fma.f64 -1/3 (.f64 (/.f64 (cbrt.f64 (pow.f64 (log.f64 x) 7)) (pow.f64 (cbrt.f64 -1/2) 2)) -5/27) (.f64 -2/27 (/.f64 (cbrt.f64 (pow.f64 (log.f64 x) 7)) (pow.f64 (cbrt.f64 -1/2) 2)))))) (pow.f64 x 3) (.f64 x (+.f64 (.f64 x (fma.f64 (cbrt.f64 -1/2) (.f64 (cbrt.f64 (log.f64 x)) (.f64 (cbrt.f64 (/.f64 -2 (cbrt.f64 -1/2))) (.f64 -1/9 (.f64 (pow.f64 (pow.f64 (log.f64 x) 14) 1/18) (pow.f64 (pow.f64 (log.f64 x) 14) 1/18))))) (.f64 1/9 (.f64 (cbrt.f64 (/.f64 1 (cbrt.f64 -1/2))) (.f64 (pow.f64 (pow.f64 (log.f64 x) 17) 1/18) (pow.f64 (pow.f64 (log.f64 x) 17) 1/18)))))) (.f64 (cbrt.f64 (.f64 -1/2 (cbrt.f64 -1/2))) (.f64 (pow.f64 (pow.f64 (log.f64 x) 13) 1/18) (pow.f64 (pow.f64 (log.f64 x) 13) 1/18)))))))
(fma.f64 -1/2 (log.f64 x) (fma.f64 (fma.f64 1/3 (.f64 -1/9 (.f64 (.f64 (cbrt.f64 (/.f64 -2 (cbrt.f64 -1/2))) (.f64 (pow.f64 (pow.f64 (log.f64 x) 14) 1/18) (pow.f64 (pow.f64 (log.f64 x) 14) 1/18))) (.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1/2) 2))) (.f64 (pow.f64 (pow.f64 (log.f64 x) 7) 1/18) (pow.f64 (pow.f64 (log.f64 x) 7) 1/18))))) (fma.f64 (fma.f64 4/27 (pow.f64 (log.f64 x) 2) (.f64 (.f64 (/.f64 (cbrt.f64 (pow.f64 (log.f64 x) 7)) -1/2) -5/27) (.f64 -2/3 (cbrt.f64 (/.f64 1 (log.f64 x)))))) (.f64 (cbrt.f64 -1/2) (cbrt.f64 (log.f64 x))) (fma.f64 -1/3 (.f64 (/.f64 (cbrt.f64 (pow.f64 (log.f64 x) 7)) (pow.f64 (cbrt.f64 -1/2) 2)) -5/27) (.f64 -2/27 (/.f64 (cbrt.f64 (pow.f64 (log.f64 x) 7)) (pow.f64 (cbrt.f64 -1/2) 2)))))) (pow.f64 x 3) (.f64 x (+.f64 (.f64 x (fma.f64 (cbrt.f64 -1/2) (.f64 (cbrt.f64 (log.f64 x)) (.f64 (cbrt.f64 (/.f64 -2 (cbrt.f64 -1/2))) (.f64 -1/9 (.f64 (pow.f64 (pow.f64 (log.f64 x) 14) 1/18) (pow.f64 (pow.f64 (log.f64 x) 14) 1/18))))) (.f64 1/9 (.f64 (cbrt.f64 (/.f64 1 (cbrt.f64 -1/2))) (.f64 (pow.f64 (pow.f64 (log.f64 x) 17) 1/18) (pow.f64 (pow.f64 (log.f64 x) 17) 1/18)))))) (.f64 (cbrt.f64 (.f64 -1/2 (cbrt.f64 -1/2))) (.f64 (pow.f64 (pow.f64 (log.f64 x) 13) 1/18) (pow.f64 (pow.f64 (log.f64 x) 13) 1/18)))))))
(.f64 (cbrt.f64 -1/2) (pow.f64 (.f64 1 (log.f64 x)) 1/3))
(*.f64 (cbrt.f64 -1/2) (cbrt.f64 (log.f64 x)))
(+.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1/2) 2)) 1/3) (.f64 (pow.f64 (.f64 (pow.f64 1 4) (pow.f64 (log.f64 x) 7)) 1/9) x))) (.f64 (cbrt.f64 -1/2) (pow.f64 (.f64 1 (log.f64 x)) 1/3)))
(fma.f64 1/3 (.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1/2) 2))) (.f64 x (.f64 (pow.f64 (pow.f64 (log.f64 x) 7) 1/18) (pow.f64 (pow.f64 (log.f64 x) 7) 1/18)))) (.f64 (cbrt.f64 -1/2) (cbrt.f64 (log.f64 x))))
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(fma.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1/2) 2))) (.f64 1/3 (.f64 x (.f64 (pow.f64 (pow.f64 (log.f64 x) 7) 1/18) (pow.f64 (pow.f64 (log.f64 x) 7) 1/18)))) (.f64 (cbrt.f64 -1/2) (cbrt.f64 (log.f64 x))))
(+.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1/2) 2)) 1/3) (.f64 (pow.f64 (.f64 (pow.f64 1 4) (pow.f64 (log.f64 x) 7)) 1/9) x))) (+.f64 (.f64 (cbrt.f64 -1/2) (pow.f64 (.f64 1 (log.f64 x)) 1/3)) (.f64 -1/9 (.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1/2) 7)) 1/3) (.f64 (pow.f64 (.f64 (pow.f64 1 4) (pow.f64 (log.f64 x) 11)) 1/9) (pow.f64 x 2))))))
(fma.f64 1/3 (.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1/2) 2))) (.f64 x (.f64 (pow.f64 (pow.f64 (log.f64 x) 7) 1/18) (pow.f64 (pow.f64 (log.f64 x) 7) 1/18)))) (fma.f64 (cbrt.f64 -1/2) (cbrt.f64 (log.f64 x)) (.f64 -1/9 (.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1/2) 7))) (.f64 (.f64 x x) (.f64 (pow.f64 (pow.f64 (log.f64 x) 11) 1/18) (pow.f64 (pow.f64 (log.f64 x) 11) 1/18)))))))
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(fma.f64 -1/2 (log.f64 x) (fma.f64 (fma.f64 2/9 (.f64 (cbrt.f64 (/.f64 1 (cbrt.f64 -1/2))) (.f64 (pow.f64 (pow.f64 (log.f64 x) 17) 1/18) (pow.f64 (pow.f64 (log.f64 x) 17) 1/18))) (fma.f64 -1/9 (.f64 (cbrt.f64 (/.f64 1 (cbrt.f64 -1/2))) (.f64 (pow.f64 (pow.f64 (log.f64 x) 17) 1/18) (pow.f64 (pow.f64 (log.f64 x) 17) 1/18))) (.f64 (cbrt.f64 (log.f64 x)) (.f64 (cbrt.f64 -1/2) (.f64 (.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1/2) 4))) (.f64 (pow.f64 (pow.f64 (log.f64 x) 14) 1/18) (pow.f64 (pow.f64 (log.f64 x) 14) 1/18))) -1/9))))) (.f64 x x) (fma.f64 (+.f64 (.f64 (.f64 (cbrt.f64 (pow.f64 (cbrt.f64 -1/2) 4)) (.f64 (pow.f64 (pow.f64 (log.f64 x) 13) 1/18) (pow.f64 (pow.f64 (log.f64 x) 13) 1/18))) 1) -1) x (.f64 (fma.f64 1/3 (.f64 (.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1/2) 2))) (.f64 (pow.f64 (pow.f64 (log.f64 x) 7) 1/18) (pow.f64 (pow.f64 (log.f64 x) 7) 1/18))) (.f64 (.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1/2) 4))) (.f64 (pow.f64 (pow.f64 (log.f64 x) 14) 1/18) (pow.f64 (pow.f64 (log.f64 x) 14) 1/18))) -1/9)) (fma.f64 -2/27 (.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1/2) 2)) (.f64 1 (cbrt.f64 (pow.f64 (log.f64 x) 7)))) (fma.f64 (.f64 (cbrt.f64 -1/2) (+.f64 (.f64 4/27 (pow.f64 (log.f64 x) 2)) (.f64 -2/3 (.f64 (cbrt.f64 (/.f64 1 (log.f64 x))) (/.f64 (fma.f64 1/27 (.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1/2) 2)) (cbrt.f64 (pow.f64 (log.f64 x) 7))) (.f64 -2/9 (.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1/2) 2)) (cbrt.f64 (pow.f64 (log.f64 x) 7))))) (cbrt.f64 -1/2)))))) (cbrt.f64 (log.f64 x)) (.f64 -1/3 (fma.f64 1/27 (.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1/2) 2)) (cbrt.f64 (pow.f64 (log.f64 x) 7))) (.f64 -2/9 (*.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1/2) 2)) (cbrt.f64 (pow.f64 (log.f64 x) 7))))))))) (pow.f64 x 3)))))
(fma.f64 -1/2 (log.f64 x) (fma.f64 (+.f64 (.f64 (.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1/2) 4))) (.f64 (.f64 (pow.f64 (pow.f64 (log.f64 x) 14) 1/18) (pow.f64 (pow.f64 (log.f64 x) 14) 1/18)) -1/9)) (.f64 (cbrt.f64 -1/2) (cbrt.f64 (log.f64 x)))) (.f64 (.f64 (cbrt.f64 (/.f64 1 (cbrt.f64 -1/2))) (.f64 (pow.f64 (pow.f64 (log.f64 x) 17) 1/18) (pow.f64 (pow.f64 (log.f64 x) 17) 1/18))) 1/9)) (.f64 x x) (fma.f64 x (+.f64 (.f64 (cbrt.f64 (pow.f64 (cbrt.f64 -1/2) 4)) (.f64 (pow.f64 (pow.f64 (log.f64 x) 13) 1/18) (pow.f64 (pow.f64 (log.f64 x) 13) 1/18))) -1) (.f64 (fma.f64 1/3 (.f64 (.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1/2) 4))) (.f64 (.f64 (pow.f64 (pow.f64 (log.f64 x) 14) 1/18) (pow.f64 (pow.f64 (log.f64 x) 14) 1/18)) -1/9)) (.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1/2) 2))) (.f64 (pow.f64 (pow.f64 (log.f64 x) 7) 1/18) (pow.f64 (pow.f64 (log.f64 x) 7) 1/18)))) (fma.f64 -2/27 (/.f64 (cbrt.f64 (pow.f64 (log.f64 x) 7)) (pow.f64 (cbrt.f64 -1/2) 2)) (fma.f64 (cbrt.f64 -1/2) (.f64 (cbrt.f64 (log.f64 x)) (fma.f64 4/27 (pow.f64 (log.f64 x) 2) (.f64 (/.f64 (.f64 (/.f64 (cbrt.f64 (pow.f64 (log.f64 x) 7)) (pow.f64 (cbrt.f64 -1/2) 2)) -5/27) (cbrt.f64 -1/2)) (.f64 -2/3 (cbrt.f64 (/.f64 1 (log.f64 x))))))) (.f64 -1/3 (.f64 (/.f64 (cbrt.f64 (pow.f64 (log.f64 x) 7)) (pow.f64 (cbrt.f64 -1/2) 2)) -5/27))))) (pow.f64 x 3)))))
(fma.f64 -1/2 (log.f64 x) (fma.f64 x (fma.f64 (cbrt.f64 (.f64 -1/2 (cbrt.f64 -1/2))) (.f64 (pow.f64 (pow.f64 (log.f64 x) 13) 1/18) (pow.f64 (pow.f64 (log.f64 x) 13) 1/18)) -1) (.f64 (.f64 x x) (+.f64 (fma.f64 (cbrt.f64 -1/2) (.f64 (cbrt.f64 (log.f64 x)) (.f64 (cbrt.f64 (/.f64 -2 (cbrt.f64 -1/2))) (.f64 -1/9 (.f64 (pow.f64 (pow.f64 (log.f64 x) 14) 1/18) (pow.f64 (pow.f64 (log.f64 x) 14) 1/18))))) (.f64 1/9 (.f64 (cbrt.f64 (/.f64 1 (cbrt.f64 -1/2))) (.f64 (pow.f64 (pow.f64 (log.f64 x) 17) 1/18) (pow.f64 (pow.f64 (log.f64 x) 17) 1/18))))) (.f64 x (fma.f64 1/3 (.f64 -1/9 (.f64 (.f64 (cbrt.f64 (/.f64 -2 (cbrt.f64 -1/2))) (.f64 (pow.f64 (pow.f64 (log.f64 x) 14) 1/18) (pow.f64 (pow.f64 (log.f64 x) 14) 1/18))) (.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1/2) 2))) (.f64 (pow.f64 (pow.f64 (log.f64 x) 7) 1/18) (pow.f64 (pow.f64 (log.f64 x) 7) 1/18))))) (fma.f64 (fma.f64 -2/3 (.f64 (/.f64 (cbrt.f64 (/.f64 1 (log.f64 x))) (cbrt.f64 -1/2)) (.f64 (/.f64 (cbrt.f64 (pow.f64 (log.f64 x) 7)) (pow.f64 (cbrt.f64 -1/2) 2)) -5/27)) (.f64 4/27 (pow.f64 (log.f64 x) 2))) (.f64 (cbrt.f64 -1/2) (cbrt.f64 (log.f64 x))) (fma.f64 -1/3 (.f64 (/.f64 (cbrt.f64 (pow.f64 (log.f64 x) 7)) (pow.f64 (cbrt.f64 -1/2) 2)) -5/27) (.f64 -2/27 (/.f64 (cbrt.f64 (pow.f64 (log.f64 x) 7)) (pow.f64 (cbrt.f64 -1/2) 2)))))))))))
(fma.f64 -1/2 (log.f64 x) (fma.f64 x (fma.f64 (cbrt.f64 (.f64 -1/2 (cbrt.f64 -1/2))) (.f64 (pow.f64 (pow.f64 (log.f64 x) 13) 1/18) (pow.f64 (pow.f64 (log.f64 x) 13) 1/18)) -1) (.f64 (.f64 x x) (+.f64 (fma.f64 (cbrt.f64 -1/2) (.f64 (cbrt.f64 (log.f64 x)) (.f64 (cbrt.f64 (/.f64 -2 (cbrt.f64 -1/2))) (.f64 -1/9 (.f64 (pow.f64 (pow.f64 (log.f64 x) 14) 1/18) (pow.f64 (pow.f64 (log.f64 x) 14) 1/18))))) (.f64 1/9 (.f64 (cbrt.f64 (/.f64 1 (cbrt.f64 -1/2))) (.f64 (pow.f64 (pow.f64 (log.f64 x) 17) 1/18) (pow.f64 (pow.f64 (log.f64 x) 17) 1/18))))) (.f64 x (fma.f64 1/3 (.f64 -1/9 (.f64 (.f64 (cbrt.f64 (/.f64 -2 (cbrt.f64 -1/2))) (.f64 (pow.f64 (pow.f64 (log.f64 x) 14) 1/18) (pow.f64 (pow.f64 (log.f64 x) 14) 1/18))) (.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1/2) 2))) (.f64 (pow.f64 (pow.f64 (log.f64 x) 7) 1/18) (pow.f64 (pow.f64 (log.f64 x) 7) 1/18))))) (fma.f64 (fma.f64 4/27 (pow.f64 (log.f64 x) 2) (.f64 (.f64 (/.f64 (cbrt.f64 (pow.f64 (log.f64 x) 7)) -1/2) -5/27) (.f64 -2/3 (cbrt.f64 (/.f64 1 (log.f64 x)))))) (.f64 (cbrt.f64 -1/2) (cbrt.f64 (log.f64 x))) (fma.f64 -1/3 (.f64 (/.f64 (cbrt.f64 (pow.f64 (log.f64 x) 7)) (pow.f64 (cbrt.f64 -1/2) 2)) -5/27) (.f64 -2/27 (/.f64 (cbrt.f64 (pow.f64 (log.f64 x) 7)) (pow.f64 (cbrt.f64 -1/2) 2)))))))))))
(*.f64 -1 x)
(neg.f64 x)
(*.f64 -1 x)
(neg.f64 x)

eval443.0ms (2.7%)

Compiler: Compiled 24094 to 14961 computations (37.9% saved)

prune163.0ms (1%)

Pruning

42 alts after pruning (39 fresh and 3 done)

	Pruned	Kept	Total
New	790	19	809
Fresh	15	20	35
Picked	0	1	1
Done	3	2	5
Total	808	42	850

Error

0.0b

Counts

850 → 42

Alt Table

Click to see full alt table

Status	Error	Program
	55.1b	(+.f64 (+.f64 (.f64 -1/2 (log.f64 x)) 91893853320467/100000000000000) (.f64 (*.f64 z z) (/.f64 (+.f64 7936500793651/10000000000000000 y) x)))
	0.3b	(+.f64 (+.f64 (-.f64 (.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (+.f64 (/.f64 (pow.f64 x -1) 1000000000000000/83333333333333) (+.f64 (.f64 (/.f64 z x) (.f64 z (+.f64 7936500793651/10000000000000000 y))) (.f64 (/.f64 z x) -13888888888889/5000000000000000))))
	35.1b	(+.f64 (+.f64 (cbrt.f64 (pow.f64 (-.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) x) 3)) 91893853320467/100000000000000) (/.f64 83333333333333/1000000000000000 x))
	38.7b	(+.f64 (+.f64 (.f64 -1/2 (log.f64 x)) 91893853320467/100000000000000) (/.f64 (+.f64 (+.f64 (.f64 7936500793651/10000000000000000 (.f64 z z)) (.f64 -13888888888889/5000000000000000 z)) 83333333333333/1000000000000000) x))
	21.2b	(+.f64 (+.f64 (-.f64 91893853320467/100000000000000 x) (.f64 (log.f64 x) (+.f64 -1/2 x))) (.f64 z (*.f64 (/.f64 z x) (+.f64 y 7936500793651/10000000000000000))))
	11.9b	(+.f64 (+.f64 (-.f64 (.f64 (cbrt.f64 (+.f64 x -1/2)) (.f64 (cbrt.f64 (log.f64 x)) (pow.f64 (cbrt.f64 (*.f64 (+.f64 x -1/2) (log.f64 x))) 2))) x) 91893853320467/100000000000000) (/.f64 83333333333333/1000000000000000 x))
✓	12.0b	(+.f64 (+.f64 (-.f64 (pow.f64 (cbrt.f64 (*.f64 (+.f64 x -1/2) (log.f64 x))) 3) x) 91893853320467/100000000000000) (/.f64 83333333333333/1000000000000000 x))
	11.5b	(+.f64 (+.f64 (-.f64 91893853320467/100000000000000 x) (*.f64 (log.f64 x) (+.f64 -1/2 x))) (/.f64 83333333333333/1000000000000000 x))
	11.5b	(+.f64 (+.f64 (*.f64 x (+.f64 -1 (log.f64 x))) 91893853320467/100000000000000) (/.f64 83333333333333/1000000000000000 x))
	31.1b	(+.f64 (+.f64 (-.f64 (/.f64 (*.f64 (fma.f64 x x -1/4) (log.f64 x)) (+.f64 x 1/2)) x) 91893853320467/100000000000000) (/.f64 83333333333333/1000000000000000 x))
	0.3b	(+.f64 (+.f64 (-.f64 (.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (+.f64 (/.f64 1 (.f64 x 1000000000000000/83333333333333)) (+.f64 (.f64 (/.f64 z x) (.f64 z (+.f64 7936500793651/10000000000000000 y))) (*.f64 (/.f64 z x) -13888888888889/5000000000000000))))
	41.7b	(*.f64 -83333333333333/1000000000000000 (/.f64 1 (neg.f64 x)))
	11.4b	(+.f64 (+.f64 (-.f64 91893853320467/100000000000000 x) (.f64 (log.f64 x) (+.f64 -1/2 x))) (/.f64 (+.f64 83333333333333/1000000000000000 (.f64 -13888888888889/5000000000000000 z)) x))
	26.1b	(+.f64 (+.f64 (-.f64 (.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (.f64 z (*.f64 z (/.f64 7936500793651/10000000000000000 x))))
	32.9b	(+.f64 (+.f64 (-.f64 (.f64 (sqrt.f64 (log.f64 x)) (.f64 (sqrt.f64 (log.f64 x)) (+.f64 x -1/2))) x) 91893853320467/100000000000000) (/.f64 83333333333333/1000000000000000 x))
	9.5b	(+.f64 (+.f64 (-.f64 (.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (+.f64 (/.f64 83333333333333/1000000000000000 x) (/.f64 (.f64 (-.f64 (*.f64 7936500793651/10000000000000000 z) 13888888888889/5000000000000000) z) x)))
	34.0b	(+.f64 (+.f64 (.f64 -1/2 (log.f64 x)) 91893853320467/100000000000000) (/.f64 (+.f64 (.f64 (-.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000) x))
	22.1b	(+.f64 (+.f64 (-.f64 91893853320467/100000000000000 x) (*.f64 (log.f64 x) (+.f64 -1/2 x))) (/.f64 (log.f64 (exp.f64 (fma.f64 z (fma.f64 z (+.f64 y 7936500793651/10000000000000000) -13888888888889/5000000000000000) 83333333333333/1000000000000000))) x))
	9.5b	(+.f64 (+.f64 (-.f64 91893853320467/100000000000000 x) (.f64 (log.f64 x) (+.f64 -1/2 x))) (/.f64 (+.f64 83333333333333/1000000000000000 (.f64 (-.f64 (*.f64 7936500793651/10000000000000000 z) 13888888888889/5000000000000000) z)) x))
	0.8b	(+.f64 (+.f64 (-.f64 (.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (+.f64 (.f64 (pow.f64 (pow.f64 (cbrt.f64 (.f64 x 1000000000000000/83333333333333)) 2) -1) (pow.f64 (cbrt.f64 (.f64 x 1000000000000000/83333333333333)) -1)) (+.f64 (.f64 (/.f64 z x) (.f64 z (+.f64 7936500793651/10000000000000000 y))) (*.f64 (/.f64 z x) -13888888888889/5000000000000000))))
	11.5b	(+.f64 (*.f64 (-.f64 (log.f64 x) 1) x) (/.f64 83333333333333/1000000000000000 x))
	42.5b	(+.f64 (+.f64 (-.f64 (*.f64 -1/2 (log.f64 x)) x) 91893853320467/100000000000000) (/.f64 83333333333333/1000000000000000 x))
	26.6b	(+.f64 (+.f64 (-.f64 (.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (.f64 (/.f64 (*.f64 y z) x) z))
	42.0b	(pow.f64 (cbrt.f64 (/.f64 83333333333333/1000000000000000 x)) 3)
	57.3b	(+.f64 (+.f64 (.f64 -1/2 (log.f64 x)) 91893853320467/100000000000000) (.f64 y (*.f64 z (/.f64 z x))))
	41.8b	(pow.f64 (sqrt.f64 (/.f64 83333333333333/1000000000000000 x)) 2)
	32.8b	(+.f64 (+.f64 (-.f64 (pow.f64 (sqrt.f64 (*.f64 x (log.f64 x))) 2) x) 91893853320467/100000000000000) (/.f64 83333333333333/1000000000000000 x))
	32.8b	(+.f64 (+.f64 (-.f64 (.f64 (.f64 (log.f64 x) (sqrt.f64 (+.f64 x -1/2))) (sqrt.f64 (+.f64 x -1/2))) x) 91893853320467/100000000000000) (/.f64 83333333333333/1000000000000000 x))
	57.5b	(+.f64 (+.f64 (.f64 -1/2 (log.f64 x)) 91893853320467/100000000000000) (.f64 (*.f64 y (/.f64 z x)) z))
	41.6b	(pow.f64 (*.f64 x 1000000000000000/83333333333333) -1)
✓	11.5b	(+.f64 (-.f64 (*.f64 x (log.f64 x)) x) (/.f64 83333333333333/1000000000000000 x))
	11.6b	(+.f64 (+.f64 (pow.f64 (sqrt.f64 (-.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) x)) 2) 91893853320467/100000000000000) (/.f64 83333333333333/1000000000000000 x))
	52.5b	(sqrt.f64 (/.f64 6944444444444388888888888889/1000000000000000000000000000000 (*.f64 x x)))
	42.5b	(+.f64 (+.f64 (neg.f64 x) 91893853320467/100000000000000) (/.f64 83333333333333/1000000000000000 x))
	38.7b	(+.f64 (+.f64 (.f64 -1/2 (log.f64 x)) 91893853320467/100000000000000) (/.f64 (+.f64 (+.f64 (.f64 (.f64 7936500793651/10000000000000000 z) z) (.f64 -13888888888889/5000000000000000 z)) 83333333333333/1000000000000000) x))
✓	41.7b	(/.f64 83333333333333/1000000000000000 x)
	12.1b	(+.f64 (+.f64 (-.f64 (pow.f64 (*.f64 (cbrt.f64 (log.f64 x)) (cbrt.f64 (+.f64 x -1/2))) 3) x) 91893853320467/100000000000000) (/.f64 83333333333333/1000000000000000 x))
	52.6b	(.f64 (cbrt.f64 (/.f64 83333333333333/1000000000000000 x)) (cbrt.f64 (/.f64 6944444444444388888888888889/1000000000000000000000000000000 (.f64 x x))))
	31.5b	(+.f64 (+.f64 (.f64 -1/2 (log.f64 x)) 91893853320467/100000000000000) (+.f64 (/.f64 83333333333333/1000000000000000 x) (+.f64 (.f64 (/.f64 z x) (.f64 z (+.f64 7936500793651/10000000000000000 y))) (.f64 (/.f64 z x) -13888888888889/5000000000000000))))
	11.9b	(+.f64 (+.f64 (pow.f64 (cbrt.f64 (-.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) x)) 3) 91893853320467/100000000000000) (/.f64 83333333333333/1000000000000000 x))
	42.2b	(+.f64 (+.f64 (.f64 -1/2 (log.f64 x)) 91893853320467/100000000000000) (+.f64 (.f64 83333333333333/1000000000000000 (/.f64 1 x)) (*.f64 -13888888888889/5000000000000000 (/.f64 z x))))
	26.6b	(+.f64 (+.f64 (.f64 x (+.f64 -1 (log.f64 x))) 91893853320467/100000000000000) (.f64 (*.f64 y (/.f64 z x)) z))

Compiler

Compiled 834 to 628 computations (24.7% saved)

regimes626.0ms (3.9%)

Counts

110 → 1

Calls

Call 1

Inputs
(/.f64 83333333333333/1000000000000000 x)
(*.f64 -83333333333333/1000000000000000 (/.f64 1 (neg.f64 x)))
(+.f64 (+.f64 (neg.f64 x) 91893853320467/100000000000000) (/.f64 83333333333333/1000000000000000 x))
(pow.f64 (*.f64 x 1000000000000000/83333333333333) -1)
(sqrt.f64 (/.f64 6944444444444388888888888889/1000000000000000000000000000000 (*.f64 x x)))
(+.f64 (*.f64 (-.f64 (log.f64 x) 1) x) (/.f64 83333333333333/1000000000000000 x))
(+.f64 (+.f64 91893853320467/100000000000000 (*.f64 -1/2 (log.f64 x))) (/.f64 83333333333333/1000000000000000 x))
(+.f64 (-.f64 (*.f64 x (log.f64 x)) x) (/.f64 83333333333333/1000000000000000 x))
(+.f64 (+.f64 (-.f64 (*.f64 -1/2 (log.f64 x)) x) 91893853320467/100000000000000) (/.f64 83333333333333/1000000000000000 x))
(+.f64 (.f64 83333333333333/1000000000000000 (/.f64 1 x)) (.f64 (-.f64 (log.f64 x) 1) x))
(+.f64 (+.f64 (*.f64 x (+.f64 -1 (log.f64 x))) 91893853320467/100000000000000) (/.f64 83333333333333/1000000000000000 x))
(+.f64 (+.f64 (.f64 -1/2 (log.f64 x)) 91893853320467/100000000000000) (.f64 (*.f64 y (/.f64 z x)) z))
(+.f64 (+.f64 (.f64 -1/2 (log.f64 x)) 91893853320467/100000000000000) (.f64 y (*.f64 z (/.f64 z x))))
(+.f64 (+.f64 (-.f64 91893853320467/100000000000000 x) (*.f64 (log.f64 x) (+.f64 -1/2 x))) (/.f64 83333333333333/1000000000000000 x))
(+.f64 (+.f64 (-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (/.f64 83333333333333/1000000000000000 x))
(+.f64 (+.f64 (.f64 -1/2 (log.f64 x)) 91893853320467/100000000000000) (.f64 (*.f64 z z) (/.f64 (+.f64 7936500793651/10000000000000000 y) x)))
(+.f64 (+.f64 (.f64 x (+.f64 -1 (log.f64 x))) 91893853320467/100000000000000) (.f64 (*.f64 y (/.f64 z x)) z))
(+.f64 (+.f64 (-.f64 (.f64 x (log.f64 x)) x) 91893853320467/100000000000000) (.f64 y (*.f64 z (/.f64 z x))))
(+.f64 (+.f64 (-.f64 (.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (.f64 -83333333333333/1000000000000000 (/.f64 1 (neg.f64 x))))
(+.f64 (+.f64 (-.f64 (.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (.f64 (/.f64 (*.f64 y z) x) z))
(+.f64 (+.f64 (.f64 -1/2 (log.f64 x)) 91893853320467/100000000000000) (+.f64 (.f64 83333333333333/1000000000000000 (/.f64 1 x)) (*.f64 -13888888888889/5000000000000000 (/.f64 z x))))
(+.f64 (+.f64 (-.f64 (.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (.f64 (*.f64 z z) (/.f64 y x)))
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(+.f64 (+.f64 (-.f64 (.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (.f64 (/.f64 (sqrt.f64 (fma.f64 z (fma.f64 z (+.f64 y 7936500793651/10000000000000000) -13888888888889/5000000000000000) 83333333333333/1000000000000000)) 1) (/.f64 (sqrt.f64 (fma.f64 z (fma.f64 z (+.f64 y 7936500793651/10000000000000000) -13888888888889/5000000000000000) 83333333333333/1000000000000000)) x)))
(+.f64 (+.f64 (-.f64 (.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (.f64 (sqrt.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000)) (*.f64 (sqrt.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000)) (/.f64 1 x))))

Outputs

(+.f64 (+.f64 (-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (+.f64 (/.f64 1 (*.f64 x 1000000000000000/83333333333333)) (+.f64 (*.f64 (/.f64 z x) (*.f64 z (+.f64 7936500793651/10000000000000000 y))) (*.f64 (/.f64 z x) -13888888888889/5000000000000000))))

Calls

10 calls:

75.0ms	y
73.0ms	x
72.0ms	z
71.0ms	(+.f64 (+.f64 (-.f64 (.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (/.f64 (+.f64 (.f64 (-.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000) x))
69.0ms	(.f64 (-.f64 (.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z)

Results

Error	Segments	Branch
0.3b	1	`x`
0.3b	1	`y`
0.3b	1	`z`
0.3b	1	`(+.f64 (+.f64 (-.f64 (.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (/.f64 (+.f64 (.f64 (-.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000) x))`
0.3b	1	`(+.f64 (.f64 (-.f64 (.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000)`
0.3b	1	`(+.f64 (.f64 (-.f64 (.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000)`
0.3b	1	`(.f64 (-.f64 (.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z)`
0.3b	1	`(.f64 (-.f64 (.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z)`
0.3b	1	`(+.f64 y 7936500793651/10000000000000000)`
0.3b	1	`(+.f64 y 7936500793651/10000000000000000)`

Compiler

Compiled 2308 to 1475 computations (36.1% saved)

regimes248.0ms (1.5%)

Counts

48 → 1

Calls

Call 1

Inputs
(/.f64 83333333333333/1000000000000000 x)
(*.f64 -83333333333333/1000000000000000 (/.f64 1 (neg.f64 x)))
(+.f64 (+.f64 (neg.f64 x) 91893853320467/100000000000000) (/.f64 83333333333333/1000000000000000 x))
(pow.f64 (*.f64 x 1000000000000000/83333333333333) -1)
(sqrt.f64 (/.f64 6944444444444388888888888889/1000000000000000000000000000000 (*.f64 x x)))
(+.f64 (*.f64 (-.f64 (log.f64 x) 1) x) (/.f64 83333333333333/1000000000000000 x))
(+.f64 (+.f64 91893853320467/100000000000000 (*.f64 -1/2 (log.f64 x))) (/.f64 83333333333333/1000000000000000 x))
(+.f64 (-.f64 (*.f64 x (log.f64 x)) x) (/.f64 83333333333333/1000000000000000 x))
(+.f64 (+.f64 (-.f64 (*.f64 -1/2 (log.f64 x)) x) 91893853320467/100000000000000) (/.f64 83333333333333/1000000000000000 x))
(+.f64 (.f64 83333333333333/1000000000000000 (/.f64 1 x)) (.f64 (-.f64 (log.f64 x) 1) x))
(+.f64 (+.f64 (*.f64 x (+.f64 -1 (log.f64 x))) 91893853320467/100000000000000) (/.f64 83333333333333/1000000000000000 x))
(+.f64 (+.f64 (.f64 -1/2 (log.f64 x)) 91893853320467/100000000000000) (.f64 (*.f64 y (/.f64 z x)) z))
(+.f64 (+.f64 (.f64 -1/2 (log.f64 x)) 91893853320467/100000000000000) (.f64 y (*.f64 z (/.f64 z x))))
(+.f64 (+.f64 (-.f64 91893853320467/100000000000000 x) (*.f64 (log.f64 x) (+.f64 -1/2 x))) (/.f64 83333333333333/1000000000000000 x))
(+.f64 (+.f64 (-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (/.f64 83333333333333/1000000000000000 x))
(+.f64 (+.f64 (.f64 -1/2 (log.f64 x)) 91893853320467/100000000000000) (.f64 (*.f64 z z) (/.f64 (+.f64 7936500793651/10000000000000000 y) x)))
(+.f64 (+.f64 (.f64 x (+.f64 -1 (log.f64 x))) 91893853320467/100000000000000) (.f64 (*.f64 y (/.f64 z x)) z))
(+.f64 (+.f64 (-.f64 (.f64 x (log.f64 x)) x) 91893853320467/100000000000000) (.f64 y (*.f64 z (/.f64 z x))))
(+.f64 (+.f64 (-.f64 (.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (.f64 -83333333333333/1000000000000000 (/.f64 1 (neg.f64 x))))
(+.f64 (+.f64 (-.f64 (.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (.f64 (/.f64 (*.f64 y z) x) z))
(+.f64 (+.f64 (.f64 -1/2 (log.f64 x)) 91893853320467/100000000000000) (+.f64 (.f64 83333333333333/1000000000000000 (/.f64 1 x)) (*.f64 -13888888888889/5000000000000000 (/.f64 z x))))
(+.f64 (+.f64 (-.f64 (.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (.f64 (*.f64 z z) (/.f64 y x)))
(+.f64 (+.f64 (-.f64 (.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (.f64 z (*.f64 z (/.f64 7936500793651/10000000000000000 x))))
(+.f64 (+.f64 (-.f64 (.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (/.f64 (.f64 y (*.f64 z z)) x))
(+.f64 (+.f64 (-.f64 91893853320467/100000000000000 x) (.f64 (log.f64 x) (+.f64 -1/2 x))) (/.f64 (.f64 z (*.f64 z y)) x))
(+.f64 (+.f64 (-.f64 (.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (.f64 (/.f64 z (/.f64 x z)) y))
(+.f64 (+.f64 (-.f64 91893853320467/100000000000000 x) (.f64 (log.f64 x) (+.f64 -1/2 x))) (/.f64 (+.f64 83333333333333/1000000000000000 (.f64 -13888888888889/5000000000000000 z)) x))
(+.f64 (+.f64 (-.f64 (.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (.f64 (*.f64 y (/.f64 z x)) z))
(+.f64 (+.f64 (-.f64 91893853320467/100000000000000 x) (.f64 (log.f64 x) (+.f64 -1/2 x))) (.f64 z (*.f64 z (/.f64 y x))))
(+.f64 (+.f64 (-.f64 (.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (/.f64 (+.f64 (.f64 -13888888888889/5000000000000000 z) 83333333333333/1000000000000000) x))
(+.f64 (+.f64 (-.f64 (.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (.f64 y (*.f64 z (/.f64 z x))))
(+.f64 (+.f64 (.f64 -1/2 (log.f64 x)) 91893853320467/100000000000000) (/.f64 (+.f64 (+.f64 (.f64 (.f64 7936500793651/10000000000000000 z) z) (.f64 -13888888888889/5000000000000000 z)) 83333333333333/1000000000000000) x))
(+.f64 (+.f64 (.f64 -1/2 (log.f64 x)) 91893853320467/100000000000000) (/.f64 (+.f64 (+.f64 (.f64 7936500793651/10000000000000000 (.f64 z z)) (.f64 -13888888888889/5000000000000000 z)) 83333333333333/1000000000000000) x))
(+.f64 (+.f64 (-.f64 91893853320467/100000000000000 x) (.f64 (log.f64 x) (+.f64 -1/2 x))) (.f64 z (*.f64 (/.f64 z x) (+.f64 y 7936500793651/10000000000000000))))
(+.f64 (+.f64 (-.f64 (.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (+.f64 (/.f64 83333333333333/1000000000000000 x) (.f64 -13888888888889/5000000000000000 (/.f64 z x))))
(+.f64 (+.f64 (.f64 -1/2 (log.f64 x)) 91893853320467/100000000000000) (/.f64 (+.f64 (.f64 (-.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000) x))
(+.f64 (+.f64 (-.f64 (.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (.f64 (/.f64 z x) (*.f64 z (+.f64 7936500793651/10000000000000000 y))))
(+.f64 (+.f64 (.f64 -1/2 (log.f64 x)) 91893853320467/100000000000000) (/.f64 (+.f64 (+.f64 (.f64 (.f64 (+.f64 y 7936500793651/10000000000000000) z) z) (.f64 -13888888888889/5000000000000000 z)) 83333333333333/1000000000000000) x))
(+.f64 (+.f64 (-.f64 91893853320467/100000000000000 x) (.f64 (log.f64 x) (+.f64 -1/2 x))) (/.f64 (+.f64 83333333333333/1000000000000000 (.f64 (-.f64 (*.f64 7936500793651/10000000000000000 z) 13888888888889/5000000000000000) z)) x))
(+.f64 (+.f64 (.f64 x (+.f64 -1 (log.f64 x))) 91893853320467/100000000000000) (/.f64 (+.f64 (.f64 (-.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000) x))
(+.f64 (+.f64 (-.f64 (.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (/.f64 (+.f64 83333333333333/1000000000000000 (.f64 (-.f64 (*.f64 7936500793651/10000000000000000 z) 13888888888889/5000000000000000) z)) x))
(+.f64 (+.f64 (-.f64 (.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (+.f64 (.f64 83333333333333/1000000000000000 (/.f64 1 x)) (*.f64 -13888888888889/5000000000000000 (/.f64 z x))))
(+.f64 (+.f64 (-.f64 (.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (+.f64 (/.f64 83333333333333/1000000000000000 x) (/.f64 (.f64 (-.f64 (*.f64 7936500793651/10000000000000000 z) 13888888888889/5000000000000000) z) x)))
(+.f64 (+.f64 (-.f64 (.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (/.f64 (+.f64 (+.f64 (.f64 7936500793651/10000000000000000 (.f64 z z)) (.f64 -13888888888889/5000000000000000 z)) 83333333333333/1000000000000000) x))
(+.f64 (+.f64 (-.f64 (.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (/.f64 (+.f64 (.f64 (-.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000) x))
(+.f64 (+.f64 (.f64 -1/2 (log.f64 x)) 91893853320467/100000000000000) (+.f64 (/.f64 83333333333333/1000000000000000 x) (+.f64 (.f64 (/.f64 z x) (.f64 z (+.f64 7936500793651/10000000000000000 y))) (.f64 (/.f64 z x) -13888888888889/5000000000000000))))
(+.f64 (+.f64 (-.f64 (.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (/.f64 (+.f64 (+.f64 (.f64 (.f64 (+.f64 y 7936500793651/10000000000000000) z) z) (.f64 -13888888888889/5000000000000000 z)) 83333333333333/1000000000000000) x))
(+.f64 (+.f64 (-.f64 (.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (+.f64 (/.f64 83333333333333/1000000000000000 x) (+.f64 (.f64 (/.f64 z x) (.f64 z (+.f64 7936500793651/10000000000000000 y))) (.f64 (/.f64 z x) -13888888888889/5000000000000000))))

Outputs

(+.f64 (+.f64 (-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (+.f64 (/.f64 83333333333333/1000000000000000 x) (+.f64 (*.f64 (/.f64 z x) (*.f64 z (+.f64 7936500793651/10000000000000000 y))) (*.f64 (/.f64 z x) -13888888888889/5000000000000000))))

Calls

10 calls:

29.0ms	(+.f64 (+.f64 (-.f64 (.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (/.f64 (+.f64 (.f64 (-.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000) x))
28.0ms	z
28.0ms	x
27.0ms	(.f64 (-.f64 (.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z)
27.0ms	y

Results

Error	Segments	Branch
0.3b	1	`x`
0.3b	1	`y`
0.3b	1	`z`
0.3b	1	`(+.f64 (+.f64 (-.f64 (.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (/.f64 (+.f64 (.f64 (-.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000) x))`
0.3b	1	`(+.f64 (.f64 (-.f64 (.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000)`
0.3b	1	`(+.f64 (.f64 (-.f64 (.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000)`
0.3b	1	`(.f64 (-.f64 (.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z)`
0.3b	1	`(.f64 (-.f64 (.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z)`
0.3b	1	`(+.f64 y 7936500793651/10000000000000000)`
0.3b	1	`(+.f64 y 7936500793651/10000000000000000)`

Compiler

Compiled 921 to 571 computations (38% saved)

regimes366.0ms (2.3%)

Counts

47 → 3

Calls

Call 1

Inputs
(/.f64 83333333333333/1000000000000000 x)
(*.f64 -83333333333333/1000000000000000 (/.f64 1 (neg.f64 x)))
(+.f64 (+.f64 (neg.f64 x) 91893853320467/100000000000000) (/.f64 83333333333333/1000000000000000 x))
(pow.f64 (*.f64 x 1000000000000000/83333333333333) -1)
(sqrt.f64 (/.f64 6944444444444388888888888889/1000000000000000000000000000000 (*.f64 x x)))
(+.f64 (*.f64 (-.f64 (log.f64 x) 1) x) (/.f64 83333333333333/1000000000000000 x))
(+.f64 (+.f64 91893853320467/100000000000000 (*.f64 -1/2 (log.f64 x))) (/.f64 83333333333333/1000000000000000 x))
(+.f64 (-.f64 (*.f64 x (log.f64 x)) x) (/.f64 83333333333333/1000000000000000 x))
(+.f64 (+.f64 (-.f64 (*.f64 -1/2 (log.f64 x)) x) 91893853320467/100000000000000) (/.f64 83333333333333/1000000000000000 x))
(+.f64 (.f64 83333333333333/1000000000000000 (/.f64 1 x)) (.f64 (-.f64 (log.f64 x) 1) x))
(+.f64 (+.f64 (*.f64 x (+.f64 -1 (log.f64 x))) 91893853320467/100000000000000) (/.f64 83333333333333/1000000000000000 x))
(+.f64 (+.f64 (.f64 -1/2 (log.f64 x)) 91893853320467/100000000000000) (.f64 (*.f64 y (/.f64 z x)) z))
(+.f64 (+.f64 (.f64 -1/2 (log.f64 x)) 91893853320467/100000000000000) (.f64 y (*.f64 z (/.f64 z x))))
(+.f64 (+.f64 (-.f64 91893853320467/100000000000000 x) (*.f64 (log.f64 x) (+.f64 -1/2 x))) (/.f64 83333333333333/1000000000000000 x))
(+.f64 (+.f64 (-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (/.f64 83333333333333/1000000000000000 x))
(+.f64 (+.f64 (.f64 -1/2 (log.f64 x)) 91893853320467/100000000000000) (.f64 (*.f64 z z) (/.f64 (+.f64 7936500793651/10000000000000000 y) x)))
(+.f64 (+.f64 (.f64 x (+.f64 -1 (log.f64 x))) 91893853320467/100000000000000) (.f64 (*.f64 y (/.f64 z x)) z))
(+.f64 (+.f64 (-.f64 (.f64 x (log.f64 x)) x) 91893853320467/100000000000000) (.f64 y (*.f64 z (/.f64 z x))))
(+.f64 (+.f64 (-.f64 (.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (.f64 -83333333333333/1000000000000000 (/.f64 1 (neg.f64 x))))
(+.f64 (+.f64 (-.f64 (.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (.f64 (/.f64 (*.f64 y z) x) z))
(+.f64 (+.f64 (.f64 -1/2 (log.f64 x)) 91893853320467/100000000000000) (+.f64 (.f64 83333333333333/1000000000000000 (/.f64 1 x)) (*.f64 -13888888888889/5000000000000000 (/.f64 z x))))
(+.f64 (+.f64 (-.f64 (.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (.f64 (*.f64 z z) (/.f64 y x)))
(+.f64 (+.f64 (-.f64 (.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (.f64 z (*.f64 z (/.f64 7936500793651/10000000000000000 x))))
(+.f64 (+.f64 (-.f64 (.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (/.f64 (.f64 y (*.f64 z z)) x))
(+.f64 (+.f64 (-.f64 91893853320467/100000000000000 x) (.f64 (log.f64 x) (+.f64 -1/2 x))) (/.f64 (.f64 z (*.f64 z y)) x))
(+.f64 (+.f64 (-.f64 (.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (.f64 (/.f64 z (/.f64 x z)) y))
(+.f64 (+.f64 (-.f64 91893853320467/100000000000000 x) (.f64 (log.f64 x) (+.f64 -1/2 x))) (/.f64 (+.f64 83333333333333/1000000000000000 (.f64 -13888888888889/5000000000000000 z)) x))
(+.f64 (+.f64 (-.f64 (.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (.f64 (*.f64 y (/.f64 z x)) z))
(+.f64 (+.f64 (-.f64 91893853320467/100000000000000 x) (.f64 (log.f64 x) (+.f64 -1/2 x))) (.f64 z (*.f64 z (/.f64 y x))))
(+.f64 (+.f64 (-.f64 (.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (/.f64 (+.f64 (.f64 -13888888888889/5000000000000000 z) 83333333333333/1000000000000000) x))
(+.f64 (+.f64 (-.f64 (.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (.f64 y (*.f64 z (/.f64 z x))))
(+.f64 (+.f64 (.f64 -1/2 (log.f64 x)) 91893853320467/100000000000000) (/.f64 (+.f64 (+.f64 (.f64 (.f64 7936500793651/10000000000000000 z) z) (.f64 -13888888888889/5000000000000000 z)) 83333333333333/1000000000000000) x))
(+.f64 (+.f64 (.f64 -1/2 (log.f64 x)) 91893853320467/100000000000000) (/.f64 (+.f64 (+.f64 (.f64 7936500793651/10000000000000000 (.f64 z z)) (.f64 -13888888888889/5000000000000000 z)) 83333333333333/1000000000000000) x))
(+.f64 (+.f64 (-.f64 91893853320467/100000000000000 x) (.f64 (log.f64 x) (+.f64 -1/2 x))) (.f64 z (*.f64 (/.f64 z x) (+.f64 y 7936500793651/10000000000000000))))
(+.f64 (+.f64 (-.f64 (.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (+.f64 (/.f64 83333333333333/1000000000000000 x) (.f64 -13888888888889/5000000000000000 (/.f64 z x))))
(+.f64 (+.f64 (.f64 -1/2 (log.f64 x)) 91893853320467/100000000000000) (/.f64 (+.f64 (.f64 (-.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000) x))
(+.f64 (+.f64 (-.f64 (.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (.f64 (/.f64 z x) (*.f64 z (+.f64 7936500793651/10000000000000000 y))))
(+.f64 (+.f64 (.f64 -1/2 (log.f64 x)) 91893853320467/100000000000000) (/.f64 (+.f64 (+.f64 (.f64 (.f64 (+.f64 y 7936500793651/10000000000000000) z) z) (.f64 -13888888888889/5000000000000000 z)) 83333333333333/1000000000000000) x))
(+.f64 (+.f64 (-.f64 91893853320467/100000000000000 x) (.f64 (log.f64 x) (+.f64 -1/2 x))) (/.f64 (+.f64 83333333333333/1000000000000000 (.f64 (-.f64 (*.f64 7936500793651/10000000000000000 z) 13888888888889/5000000000000000) z)) x))
(+.f64 (+.f64 (.f64 x (+.f64 -1 (log.f64 x))) 91893853320467/100000000000000) (/.f64 (+.f64 (.f64 (-.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000) x))
(+.f64 (+.f64 (-.f64 (.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (/.f64 (+.f64 83333333333333/1000000000000000 (.f64 (-.f64 (*.f64 7936500793651/10000000000000000 z) 13888888888889/5000000000000000) z)) x))
(+.f64 (+.f64 (-.f64 (.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (+.f64 (.f64 83333333333333/1000000000000000 (/.f64 1 x)) (*.f64 -13888888888889/5000000000000000 (/.f64 z x))))
(+.f64 (+.f64 (-.f64 (.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (+.f64 (/.f64 83333333333333/1000000000000000 x) (/.f64 (.f64 (-.f64 (*.f64 7936500793651/10000000000000000 z) 13888888888889/5000000000000000) z) x)))
(+.f64 (+.f64 (-.f64 (.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (/.f64 (+.f64 (+.f64 (.f64 7936500793651/10000000000000000 (.f64 z z)) (.f64 -13888888888889/5000000000000000 z)) 83333333333333/1000000000000000) x))
(+.f64 (+.f64 (-.f64 (.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (/.f64 (+.f64 (.f64 (-.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000) x))
(+.f64 (+.f64 (.f64 -1/2 (log.f64 x)) 91893853320467/100000000000000) (+.f64 (/.f64 83333333333333/1000000000000000 x) (+.f64 (.f64 (/.f64 z x) (.f64 z (+.f64 7936500793651/10000000000000000 y))) (.f64 (/.f64 z x) -13888888888889/5000000000000000))))
(+.f64 (+.f64 (-.f64 (.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (/.f64 (+.f64 (+.f64 (.f64 (.f64 (+.f64 y 7936500793651/10000000000000000) z) z) (.f64 -13888888888889/5000000000000000 z)) 83333333333333/1000000000000000) x))

Outputs

(+.f64 (+.f64 (-.f64 91893853320467/100000000000000 x) (*.f64 (log.f64 x) (+.f64 -1/2 x))) (*.f64 z (*.f64 (/.f64 z x) (+.f64 y 7936500793651/10000000000000000))))

(+.f64 (+.f64 (-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (/.f64 (+.f64 (+.f64 (*.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) z) (*.f64 -13888888888889/5000000000000000 z)) 83333333333333/1000000000000000) x))

(+.f64 (+.f64 (-.f64 91893853320467/100000000000000 x) (*.f64 (log.f64 x) (+.f64 -1/2 x))) (*.f64 z (*.f64 (/.f64 z x) (+.f64 y 7936500793651/10000000000000000))))

Calls

9 calls:

73.0ms	z
51.0ms	x
48.0ms	(.f64 (-.f64 (.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z)
47.0ms	(+.f64 (+.f64 (-.f64 (.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (/.f64 (+.f64 (.f64 (-.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000) x))
47.0ms	(.f64 (-.f64 (.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z)

Results

Error	Segments	Branch
0.3b	2	`x`
5.3b	1	`y`
0.3b	3	`z`
1.1b	2	`(+.f64 (+.f64 (-.f64 (.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (/.f64 (+.f64 (.f64 (-.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000) x))`
1.1b	2	`(+.f64 (.f64 (-.f64 (.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000)`
1.1b	2	`(+.f64 (.f64 (-.f64 (.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000)`
1.1b	2	`(.f64 (-.f64 (.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z)`
1.1b	2	`(.f64 (-.f64 (.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z)`
5.3b	1	`(+.f64 y 7936500793651/10000000000000000)`

Compiler

Compiled 885 to 549 computations (38% saved)

bsearch22.0ms (0.1%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
13.0ms	24537806217224.707	7.03793186288099e+25
9.0ms	-3.7281953291837785e+69	-1.1874721788162736e+64

Compiler

Compiled 141 to 103 computations (27% saved)

regimes361.0ms (2.2%)

Counts

46 → 3

Calls

Call 1

Inputs
(/.f64 83333333333333/1000000000000000 x)
(*.f64 -83333333333333/1000000000000000 (/.f64 1 (neg.f64 x)))
(+.f64 (+.f64 (neg.f64 x) 91893853320467/100000000000000) (/.f64 83333333333333/1000000000000000 x))
(pow.f64 (*.f64 x 1000000000000000/83333333333333) -1)
(sqrt.f64 (/.f64 6944444444444388888888888889/1000000000000000000000000000000 (*.f64 x x)))
(+.f64 (*.f64 (-.f64 (log.f64 x) 1) x) (/.f64 83333333333333/1000000000000000 x))
(+.f64 (+.f64 91893853320467/100000000000000 (*.f64 -1/2 (log.f64 x))) (/.f64 83333333333333/1000000000000000 x))
(+.f64 (-.f64 (*.f64 x (log.f64 x)) x) (/.f64 83333333333333/1000000000000000 x))
(+.f64 (+.f64 (-.f64 (*.f64 -1/2 (log.f64 x)) x) 91893853320467/100000000000000) (/.f64 83333333333333/1000000000000000 x))
(+.f64 (.f64 83333333333333/1000000000000000 (/.f64 1 x)) (.f64 (-.f64 (log.f64 x) 1) x))
(+.f64 (+.f64 (*.f64 x (+.f64 -1 (log.f64 x))) 91893853320467/100000000000000) (/.f64 83333333333333/1000000000000000 x))
(+.f64 (+.f64 (.f64 -1/2 (log.f64 x)) 91893853320467/100000000000000) (.f64 (*.f64 y (/.f64 z x)) z))
(+.f64 (+.f64 (.f64 -1/2 (log.f64 x)) 91893853320467/100000000000000) (.f64 y (*.f64 z (/.f64 z x))))
(+.f64 (+.f64 (-.f64 91893853320467/100000000000000 x) (*.f64 (log.f64 x) (+.f64 -1/2 x))) (/.f64 83333333333333/1000000000000000 x))
(+.f64 (+.f64 (-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (/.f64 83333333333333/1000000000000000 x))
(+.f64 (+.f64 (.f64 -1/2 (log.f64 x)) 91893853320467/100000000000000) (.f64 (*.f64 z z) (/.f64 (+.f64 7936500793651/10000000000000000 y) x)))
(+.f64 (+.f64 (.f64 x (+.f64 -1 (log.f64 x))) 91893853320467/100000000000000) (.f64 (*.f64 y (/.f64 z x)) z))
(+.f64 (+.f64 (-.f64 (.f64 x (log.f64 x)) x) 91893853320467/100000000000000) (.f64 y (*.f64 z (/.f64 z x))))
(+.f64 (+.f64 (-.f64 (.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (.f64 -83333333333333/1000000000000000 (/.f64 1 (neg.f64 x))))
(+.f64 (+.f64 (-.f64 (.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (.f64 (/.f64 (*.f64 y z) x) z))
(+.f64 (+.f64 (.f64 -1/2 (log.f64 x)) 91893853320467/100000000000000) (+.f64 (.f64 83333333333333/1000000000000000 (/.f64 1 x)) (*.f64 -13888888888889/5000000000000000 (/.f64 z x))))
(+.f64 (+.f64 (-.f64 (.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (.f64 (*.f64 z z) (/.f64 y x)))
(+.f64 (+.f64 (-.f64 (.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (.f64 z (*.f64 z (/.f64 7936500793651/10000000000000000 x))))
(+.f64 (+.f64 (-.f64 (.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (/.f64 (.f64 y (*.f64 z z)) x))
(+.f64 (+.f64 (-.f64 91893853320467/100000000000000 x) (.f64 (log.f64 x) (+.f64 -1/2 x))) (/.f64 (.f64 z (*.f64 z y)) x))
(+.f64 (+.f64 (-.f64 (.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (.f64 (/.f64 z (/.f64 x z)) y))
(+.f64 (+.f64 (-.f64 91893853320467/100000000000000 x) (.f64 (log.f64 x) (+.f64 -1/2 x))) (/.f64 (+.f64 83333333333333/1000000000000000 (.f64 -13888888888889/5000000000000000 z)) x))
(+.f64 (+.f64 (-.f64 (.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (.f64 (*.f64 y (/.f64 z x)) z))
(+.f64 (+.f64 (-.f64 91893853320467/100000000000000 x) (.f64 (log.f64 x) (+.f64 -1/2 x))) (.f64 z (*.f64 z (/.f64 y x))))
(+.f64 (+.f64 (-.f64 (.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (/.f64 (+.f64 (.f64 -13888888888889/5000000000000000 z) 83333333333333/1000000000000000) x))
(+.f64 (+.f64 (-.f64 (.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (.f64 y (*.f64 z (/.f64 z x))))
(+.f64 (+.f64 (.f64 -1/2 (log.f64 x)) 91893853320467/100000000000000) (/.f64 (+.f64 (+.f64 (.f64 (.f64 7936500793651/10000000000000000 z) z) (.f64 -13888888888889/5000000000000000 z)) 83333333333333/1000000000000000) x))
(+.f64 (+.f64 (.f64 -1/2 (log.f64 x)) 91893853320467/100000000000000) (/.f64 (+.f64 (+.f64 (.f64 7936500793651/10000000000000000 (.f64 z z)) (.f64 -13888888888889/5000000000000000 z)) 83333333333333/1000000000000000) x))
(+.f64 (+.f64 (-.f64 91893853320467/100000000000000 x) (.f64 (log.f64 x) (+.f64 -1/2 x))) (.f64 z (*.f64 (/.f64 z x) (+.f64 y 7936500793651/10000000000000000))))
(+.f64 (+.f64 (-.f64 (.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (+.f64 (/.f64 83333333333333/1000000000000000 x) (.f64 -13888888888889/5000000000000000 (/.f64 z x))))
(+.f64 (+.f64 (.f64 -1/2 (log.f64 x)) 91893853320467/100000000000000) (/.f64 (+.f64 (.f64 (-.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000) x))
(+.f64 (+.f64 (-.f64 (.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (.f64 (/.f64 z x) (*.f64 z (+.f64 7936500793651/10000000000000000 y))))
(+.f64 (+.f64 (.f64 -1/2 (log.f64 x)) 91893853320467/100000000000000) (/.f64 (+.f64 (+.f64 (.f64 (.f64 (+.f64 y 7936500793651/10000000000000000) z) z) (.f64 -13888888888889/5000000000000000 z)) 83333333333333/1000000000000000) x))
(+.f64 (+.f64 (-.f64 91893853320467/100000000000000 x) (.f64 (log.f64 x) (+.f64 -1/2 x))) (/.f64 (+.f64 83333333333333/1000000000000000 (.f64 (-.f64 (*.f64 7936500793651/10000000000000000 z) 13888888888889/5000000000000000) z)) x))
(+.f64 (+.f64 (.f64 x (+.f64 -1 (log.f64 x))) 91893853320467/100000000000000) (/.f64 (+.f64 (.f64 (-.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000) x))
(+.f64 (+.f64 (-.f64 (.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (/.f64 (+.f64 83333333333333/1000000000000000 (.f64 (-.f64 (*.f64 7936500793651/10000000000000000 z) 13888888888889/5000000000000000) z)) x))
(+.f64 (+.f64 (-.f64 (.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (+.f64 (.f64 83333333333333/1000000000000000 (/.f64 1 x)) (*.f64 -13888888888889/5000000000000000 (/.f64 z x))))
(+.f64 (+.f64 (-.f64 (.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (+.f64 (/.f64 83333333333333/1000000000000000 x) (/.f64 (.f64 (-.f64 (*.f64 7936500793651/10000000000000000 z) 13888888888889/5000000000000000) z) x)))
(+.f64 (+.f64 (-.f64 (.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (/.f64 (+.f64 (+.f64 (.f64 7936500793651/10000000000000000 (.f64 z z)) (.f64 -13888888888889/5000000000000000 z)) 83333333333333/1000000000000000) x))
(+.f64 (+.f64 (-.f64 (.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (/.f64 (+.f64 (.f64 (-.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000) x))
(+.f64 (+.f64 (.f64 -1/2 (log.f64 x)) 91893853320467/100000000000000) (+.f64 (/.f64 83333333333333/1000000000000000 x) (+.f64 (.f64 (/.f64 z x) (.f64 z (+.f64 7936500793651/10000000000000000 y))) (.f64 (/.f64 z x) -13888888888889/5000000000000000))))

Outputs

(+.f64 (+.f64 (-.f64 91893853320467/100000000000000 x) (*.f64 (log.f64 x) (+.f64 -1/2 x))) (*.f64 z (*.f64 (/.f64 z x) (+.f64 y 7936500793651/10000000000000000))))

(+.f64 (+.f64 (-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (/.f64 (+.f64 (*.f64 (-.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000) x))

(+.f64 (+.f64 (-.f64 91893853320467/100000000000000 x) (*.f64 (log.f64 x) (+.f64 -1/2 x))) (*.f64 z (*.f64 (/.f64 z x) (+.f64 y 7936500793651/10000000000000000))))

Calls

9 calls:

69.0ms	z
50.0ms	x
48.0ms	(.f64 (-.f64 (.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z)
46.0ms	(.f64 (-.f64 (.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z)
46.0ms	(+.f64 (+.f64 (-.f64 (.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (/.f64 (+.f64 (.f64 (-.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000) x))

Results

Error	Segments	Branch
0.3b	2	`x`
5.3b	1	`y`
0.3b	3	`z`
1.1b	2	`(+.f64 (+.f64 (-.f64 (.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (/.f64 (+.f64 (.f64 (-.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000) x))`
1.1b	2	`(+.f64 (.f64 (-.f64 (.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000)`
1.1b	2	`(+.f64 (.f64 (-.f64 (.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000)`
1.1b	2	`(.f64 (-.f64 (.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z)`
1.1b	2	`(.f64 (-.f64 (.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z)`
5.3b	1	`(+.f64 y 7936500793651/10000000000000000)`

Compiler

Compiled 859 to 532 computations (38.1% saved)

bsearch24.0ms (0.1%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
16.0ms	24537806217224.707	7.03793186288099e+25
7.0ms	-3.7281953291837785e+69	-1.1874721788162736e+64

Compiler

Compiled 137 to 101 computations (26.3% saved)

regimes294.0ms (1.8%)

Counts

44 → 2

Calls

Call 1

Inputs
(/.f64 83333333333333/1000000000000000 x)
(*.f64 -83333333333333/1000000000000000 (/.f64 1 (neg.f64 x)))
(+.f64 (+.f64 (neg.f64 x) 91893853320467/100000000000000) (/.f64 83333333333333/1000000000000000 x))
(pow.f64 (*.f64 x 1000000000000000/83333333333333) -1)
(sqrt.f64 (/.f64 6944444444444388888888888889/1000000000000000000000000000000 (*.f64 x x)))
(+.f64 (*.f64 (-.f64 (log.f64 x) 1) x) (/.f64 83333333333333/1000000000000000 x))
(+.f64 (+.f64 91893853320467/100000000000000 (*.f64 -1/2 (log.f64 x))) (/.f64 83333333333333/1000000000000000 x))
(+.f64 (-.f64 (*.f64 x (log.f64 x)) x) (/.f64 83333333333333/1000000000000000 x))
(+.f64 (+.f64 (-.f64 (*.f64 -1/2 (log.f64 x)) x) 91893853320467/100000000000000) (/.f64 83333333333333/1000000000000000 x))
(+.f64 (.f64 83333333333333/1000000000000000 (/.f64 1 x)) (.f64 (-.f64 (log.f64 x) 1) x))
(+.f64 (+.f64 (*.f64 x (+.f64 -1 (log.f64 x))) 91893853320467/100000000000000) (/.f64 83333333333333/1000000000000000 x))
(+.f64 (+.f64 (.f64 -1/2 (log.f64 x)) 91893853320467/100000000000000) (.f64 (*.f64 y (/.f64 z x)) z))
(+.f64 (+.f64 (.f64 -1/2 (log.f64 x)) 91893853320467/100000000000000) (.f64 y (*.f64 z (/.f64 z x))))
(+.f64 (+.f64 (-.f64 91893853320467/100000000000000 x) (*.f64 (log.f64 x) (+.f64 -1/2 x))) (/.f64 83333333333333/1000000000000000 x))
(+.f64 (+.f64 (-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (/.f64 83333333333333/1000000000000000 x))
(+.f64 (+.f64 (.f64 -1/2 (log.f64 x)) 91893853320467/100000000000000) (.f64 (*.f64 z z) (/.f64 (+.f64 7936500793651/10000000000000000 y) x)))
(+.f64 (+.f64 (.f64 x (+.f64 -1 (log.f64 x))) 91893853320467/100000000000000) (.f64 (*.f64 y (/.f64 z x)) z))
(+.f64 (+.f64 (-.f64 (.f64 x (log.f64 x)) x) 91893853320467/100000000000000) (.f64 y (*.f64 z (/.f64 z x))))
(+.f64 (+.f64 (-.f64 (.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (.f64 -83333333333333/1000000000000000 (/.f64 1 (neg.f64 x))))
(+.f64 (+.f64 (-.f64 (.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (.f64 (/.f64 (*.f64 y z) x) z))
(+.f64 (+.f64 (.f64 -1/2 (log.f64 x)) 91893853320467/100000000000000) (+.f64 (.f64 83333333333333/1000000000000000 (/.f64 1 x)) (*.f64 -13888888888889/5000000000000000 (/.f64 z x))))
(+.f64 (+.f64 (-.f64 (.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (.f64 (*.f64 z z) (/.f64 y x)))
(+.f64 (+.f64 (-.f64 (.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (.f64 z (*.f64 z (/.f64 7936500793651/10000000000000000 x))))
(+.f64 (+.f64 (-.f64 (.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (/.f64 (.f64 y (*.f64 z z)) x))
(+.f64 (+.f64 (-.f64 91893853320467/100000000000000 x) (.f64 (log.f64 x) (+.f64 -1/2 x))) (/.f64 (.f64 z (*.f64 z y)) x))
(+.f64 (+.f64 (-.f64 (.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (.f64 (/.f64 z (/.f64 x z)) y))
(+.f64 (+.f64 (-.f64 91893853320467/100000000000000 x) (.f64 (log.f64 x) (+.f64 -1/2 x))) (/.f64 (+.f64 83333333333333/1000000000000000 (.f64 -13888888888889/5000000000000000 z)) x))
(+.f64 (+.f64 (-.f64 (.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (.f64 (*.f64 y (/.f64 z x)) z))
(+.f64 (+.f64 (-.f64 91893853320467/100000000000000 x) (.f64 (log.f64 x) (+.f64 -1/2 x))) (.f64 z (*.f64 z (/.f64 y x))))
(+.f64 (+.f64 (-.f64 (.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (/.f64 (+.f64 (.f64 -13888888888889/5000000000000000 z) 83333333333333/1000000000000000) x))
(+.f64 (+.f64 (-.f64 (.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (.f64 y (*.f64 z (/.f64 z x))))
(+.f64 (+.f64 (.f64 -1/2 (log.f64 x)) 91893853320467/100000000000000) (/.f64 (+.f64 (+.f64 (.f64 (.f64 7936500793651/10000000000000000 z) z) (.f64 -13888888888889/5000000000000000 z)) 83333333333333/1000000000000000) x))
(+.f64 (+.f64 (.f64 -1/2 (log.f64 x)) 91893853320467/100000000000000) (/.f64 (+.f64 (+.f64 (.f64 7936500793651/10000000000000000 (.f64 z z)) (.f64 -13888888888889/5000000000000000 z)) 83333333333333/1000000000000000) x))
(+.f64 (+.f64 (-.f64 91893853320467/100000000000000 x) (.f64 (log.f64 x) (+.f64 -1/2 x))) (.f64 z (*.f64 (/.f64 z x) (+.f64 y 7936500793651/10000000000000000))))
(+.f64 (+.f64 (-.f64 (.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (+.f64 (/.f64 83333333333333/1000000000000000 x) (.f64 -13888888888889/5000000000000000 (/.f64 z x))))
(+.f64 (+.f64 (.f64 -1/2 (log.f64 x)) 91893853320467/100000000000000) (/.f64 (+.f64 (.f64 (-.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000) x))
(+.f64 (+.f64 (-.f64 (.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (.f64 (/.f64 z x) (*.f64 z (+.f64 7936500793651/10000000000000000 y))))
(+.f64 (+.f64 (.f64 -1/2 (log.f64 x)) 91893853320467/100000000000000) (/.f64 (+.f64 (+.f64 (.f64 (.f64 (+.f64 y 7936500793651/10000000000000000) z) z) (.f64 -13888888888889/5000000000000000 z)) 83333333333333/1000000000000000) x))
(+.f64 (+.f64 (-.f64 91893853320467/100000000000000 x) (.f64 (log.f64 x) (+.f64 -1/2 x))) (/.f64 (+.f64 83333333333333/1000000000000000 (.f64 (-.f64 (*.f64 7936500793651/10000000000000000 z) 13888888888889/5000000000000000) z)) x))
(+.f64 (+.f64 (.f64 x (+.f64 -1 (log.f64 x))) 91893853320467/100000000000000) (/.f64 (+.f64 (.f64 (-.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000) x))
(+.f64 (+.f64 (-.f64 (.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (/.f64 (+.f64 83333333333333/1000000000000000 (.f64 (-.f64 (*.f64 7936500793651/10000000000000000 z) 13888888888889/5000000000000000) z)) x))
(+.f64 (+.f64 (-.f64 (.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (+.f64 (.f64 83333333333333/1000000000000000 (/.f64 1 x)) (*.f64 -13888888888889/5000000000000000 (/.f64 z x))))
(+.f64 (+.f64 (-.f64 (.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (+.f64 (/.f64 83333333333333/1000000000000000 x) (/.f64 (.f64 (-.f64 (*.f64 7936500793651/10000000000000000 z) 13888888888889/5000000000000000) z) x)))
(+.f64 (+.f64 (-.f64 (.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (/.f64 (+.f64 (+.f64 (.f64 7936500793651/10000000000000000 (.f64 z z)) (.f64 -13888888888889/5000000000000000 z)) 83333333333333/1000000000000000) x))

Outputs

(+.f64 (+.f64 (*.f64 -1/2 (log.f64 x)) 91893853320467/100000000000000) (/.f64 (+.f64 (+.f64 (*.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) z) (*.f64 -13888888888889/5000000000000000 z)) 83333333333333/1000000000000000) x))

(+.f64 (+.f64 (-.f64 91893853320467/100000000000000 x) (*.f64 (log.f64 x) (+.f64 -1/2 x))) (*.f64 z (*.f64 (/.f64 z x) (+.f64 y 7936500793651/10000000000000000))))

Calls

8 calls:

63.0ms	z
46.0ms	x
44.0ms	(.f64 (-.f64 (.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z)
43.0ms	(.f64 (-.f64 (.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z)
25.0ms	y

Results

Error	Segments	Branch
0.4b	2	`x`
5.5b	1	`y`
0.5b	3	`z`
1.3b	2	`(+.f64 (.f64 (-.f64 (.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000)`
1.3b	2	`(+.f64 (.f64 (-.f64 (.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000)`
1.3b	2	`(.f64 (-.f64 (.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z)`
1.3b	2	`(.f64 (-.f64 (.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z)`
5.5b	1	`(+.f64 y 7936500793651/10000000000000000)`

Compiler

Compiled 782 to 481 computations (38.5% saved)

bsearch34.0ms (0.2%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
32.0ms	1.3197748396000313e-8	3.0059605093343205

Compiler

Compiled 83 to 62 computations (25.3% saved)

regimes293.0ms (1.8%)

Counts

37 → 2

Calls

Call 1

Inputs
(/.f64 83333333333333/1000000000000000 x)
(*.f64 -83333333333333/1000000000000000 (/.f64 1 (neg.f64 x)))
(+.f64 (+.f64 (neg.f64 x) 91893853320467/100000000000000) (/.f64 83333333333333/1000000000000000 x))
(pow.f64 (*.f64 x 1000000000000000/83333333333333) -1)
(sqrt.f64 (/.f64 6944444444444388888888888889/1000000000000000000000000000000 (*.f64 x x)))
(+.f64 (*.f64 (-.f64 (log.f64 x) 1) x) (/.f64 83333333333333/1000000000000000 x))
(+.f64 (+.f64 91893853320467/100000000000000 (*.f64 -1/2 (log.f64 x))) (/.f64 83333333333333/1000000000000000 x))
(+.f64 (-.f64 (*.f64 x (log.f64 x)) x) (/.f64 83333333333333/1000000000000000 x))
(+.f64 (+.f64 (-.f64 (*.f64 -1/2 (log.f64 x)) x) 91893853320467/100000000000000) (/.f64 83333333333333/1000000000000000 x))
(+.f64 (.f64 83333333333333/1000000000000000 (/.f64 1 x)) (.f64 (-.f64 (log.f64 x) 1) x))
(+.f64 (+.f64 (*.f64 x (+.f64 -1 (log.f64 x))) 91893853320467/100000000000000) (/.f64 83333333333333/1000000000000000 x))
(+.f64 (+.f64 (.f64 -1/2 (log.f64 x)) 91893853320467/100000000000000) (.f64 (*.f64 y (/.f64 z x)) z))
(+.f64 (+.f64 (.f64 -1/2 (log.f64 x)) 91893853320467/100000000000000) (.f64 y (*.f64 z (/.f64 z x))))
(+.f64 (+.f64 (-.f64 91893853320467/100000000000000 x) (*.f64 (log.f64 x) (+.f64 -1/2 x))) (/.f64 83333333333333/1000000000000000 x))
(+.f64 (+.f64 (-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (/.f64 83333333333333/1000000000000000 x))
(+.f64 (+.f64 (.f64 -1/2 (log.f64 x)) 91893853320467/100000000000000) (.f64 (*.f64 z z) (/.f64 (+.f64 7936500793651/10000000000000000 y) x)))
(+.f64 (+.f64 (.f64 x (+.f64 -1 (log.f64 x))) 91893853320467/100000000000000) (.f64 (*.f64 y (/.f64 z x)) z))
(+.f64 (+.f64 (-.f64 (.f64 x (log.f64 x)) x) 91893853320467/100000000000000) (.f64 y (*.f64 z (/.f64 z x))))
(+.f64 (+.f64 (-.f64 (.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (.f64 -83333333333333/1000000000000000 (/.f64 1 (neg.f64 x))))
(+.f64 (+.f64 (-.f64 (.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (.f64 (/.f64 (*.f64 y z) x) z))
(+.f64 (+.f64 (.f64 -1/2 (log.f64 x)) 91893853320467/100000000000000) (+.f64 (.f64 83333333333333/1000000000000000 (/.f64 1 x)) (*.f64 -13888888888889/5000000000000000 (/.f64 z x))))
(+.f64 (+.f64 (-.f64 (.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (.f64 (*.f64 z z) (/.f64 y x)))
(+.f64 (+.f64 (-.f64 (.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (.f64 z (*.f64 z (/.f64 7936500793651/10000000000000000 x))))
(+.f64 (+.f64 (-.f64 (.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (/.f64 (.f64 y (*.f64 z z)) x))
(+.f64 (+.f64 (-.f64 91893853320467/100000000000000 x) (.f64 (log.f64 x) (+.f64 -1/2 x))) (/.f64 (.f64 z (*.f64 z y)) x))
(+.f64 (+.f64 (-.f64 (.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (.f64 (/.f64 z (/.f64 x z)) y))
(+.f64 (+.f64 (-.f64 91893853320467/100000000000000 x) (.f64 (log.f64 x) (+.f64 -1/2 x))) (/.f64 (+.f64 83333333333333/1000000000000000 (.f64 -13888888888889/5000000000000000 z)) x))
(+.f64 (+.f64 (-.f64 (.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (.f64 (*.f64 y (/.f64 z x)) z))
(+.f64 (+.f64 (-.f64 91893853320467/100000000000000 x) (.f64 (log.f64 x) (+.f64 -1/2 x))) (.f64 z (*.f64 z (/.f64 y x))))
(+.f64 (+.f64 (-.f64 (.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (/.f64 (+.f64 (.f64 -13888888888889/5000000000000000 z) 83333333333333/1000000000000000) x))
(+.f64 (+.f64 (-.f64 (.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (.f64 y (*.f64 z (/.f64 z x))))
(+.f64 (+.f64 (.f64 -1/2 (log.f64 x)) 91893853320467/100000000000000) (/.f64 (+.f64 (+.f64 (.f64 (.f64 7936500793651/10000000000000000 z) z) (.f64 -13888888888889/5000000000000000 z)) 83333333333333/1000000000000000) x))
(+.f64 (+.f64 (.f64 -1/2 (log.f64 x)) 91893853320467/100000000000000) (/.f64 (+.f64 (+.f64 (.f64 7936500793651/10000000000000000 (.f64 z z)) (.f64 -13888888888889/5000000000000000 z)) 83333333333333/1000000000000000) x))
(+.f64 (+.f64 (-.f64 91893853320467/100000000000000 x) (.f64 (log.f64 x) (+.f64 -1/2 x))) (.f64 z (*.f64 (/.f64 z x) (+.f64 y 7936500793651/10000000000000000))))
(+.f64 (+.f64 (-.f64 (.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (+.f64 (/.f64 83333333333333/1000000000000000 x) (.f64 -13888888888889/5000000000000000 (/.f64 z x))))
(+.f64 (+.f64 (.f64 -1/2 (log.f64 x)) 91893853320467/100000000000000) (/.f64 (+.f64 (.f64 (-.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000) x))
(+.f64 (+.f64 (-.f64 (.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (.f64 (/.f64 z x) (*.f64 z (+.f64 7936500793651/10000000000000000 y))))

Outputs

(+.f64 (+.f64 (*.f64 -1/2 (log.f64 x)) 91893853320467/100000000000000) (/.f64 (+.f64 (*.f64 (-.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000) x))

(+.f64 (+.f64 (-.f64 91893853320467/100000000000000 x) (*.f64 (log.f64 x) (+.f64 -1/2 x))) (*.f64 z (*.f64 (/.f64 z x) (+.f64 y 7936500793651/10000000000000000))))

Calls

8 calls:

55.0ms	(.f64 (-.f64 (.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z)
55.0ms	(.f64 (-.f64 (.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z)
55.0ms	z
39.0ms	x
21.0ms	y

Results

Error	Segments	Branch
0.5b	2	`x`
11.4b	1	`y`
2.3b	3	`z`
1.0b	3	`(+.f64 (.f64 (-.f64 (.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000)`
1.0b	3	`(+.f64 (.f64 (-.f64 (.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000)`
1.0b	3	`(.f64 (-.f64 (.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z)`
1.0b	3	`(.f64 (-.f64 (.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z)`
11.4b	1	`(+.f64 y 7936500793651/10000000000000000)`

Compiler

Compiled 624 to 376 computations (39.7% saved)

bsearch33.0ms (0.2%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
33.0ms	1.3197748396000313e-8	3.0059605093343205

Compiler

Compiled 81 to 61 computations (24.7% saved)

regimes132.0ms (0.8%)

Counts

35 → 3

Calls

Call 1

Inputs
(/.f64 83333333333333/1000000000000000 x)
(*.f64 -83333333333333/1000000000000000 (/.f64 1 (neg.f64 x)))
(+.f64 (+.f64 (neg.f64 x) 91893853320467/100000000000000) (/.f64 83333333333333/1000000000000000 x))
(pow.f64 (*.f64 x 1000000000000000/83333333333333) -1)
(sqrt.f64 (/.f64 6944444444444388888888888889/1000000000000000000000000000000 (*.f64 x x)))
(+.f64 (*.f64 (-.f64 (log.f64 x) 1) x) (/.f64 83333333333333/1000000000000000 x))
(+.f64 (+.f64 91893853320467/100000000000000 (*.f64 -1/2 (log.f64 x))) (/.f64 83333333333333/1000000000000000 x))
(+.f64 (-.f64 (*.f64 x (log.f64 x)) x) (/.f64 83333333333333/1000000000000000 x))
(+.f64 (+.f64 (-.f64 (*.f64 -1/2 (log.f64 x)) x) 91893853320467/100000000000000) (/.f64 83333333333333/1000000000000000 x))
(+.f64 (.f64 83333333333333/1000000000000000 (/.f64 1 x)) (.f64 (-.f64 (log.f64 x) 1) x))
(+.f64 (+.f64 (*.f64 x (+.f64 -1 (log.f64 x))) 91893853320467/100000000000000) (/.f64 83333333333333/1000000000000000 x))
(+.f64 (+.f64 (.f64 -1/2 (log.f64 x)) 91893853320467/100000000000000) (.f64 (*.f64 y (/.f64 z x)) z))
(+.f64 (+.f64 (.f64 -1/2 (log.f64 x)) 91893853320467/100000000000000) (.f64 y (*.f64 z (/.f64 z x))))
(+.f64 (+.f64 (-.f64 91893853320467/100000000000000 x) (*.f64 (log.f64 x) (+.f64 -1/2 x))) (/.f64 83333333333333/1000000000000000 x))
(+.f64 (+.f64 (-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (/.f64 83333333333333/1000000000000000 x))
(+.f64 (+.f64 (.f64 -1/2 (log.f64 x)) 91893853320467/100000000000000) (.f64 (*.f64 z z) (/.f64 (+.f64 7936500793651/10000000000000000 y) x)))
(+.f64 (+.f64 (.f64 x (+.f64 -1 (log.f64 x))) 91893853320467/100000000000000) (.f64 (*.f64 y (/.f64 z x)) z))
(+.f64 (+.f64 (-.f64 (.f64 x (log.f64 x)) x) 91893853320467/100000000000000) (.f64 y (*.f64 z (/.f64 z x))))
(+.f64 (+.f64 (-.f64 (.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (.f64 -83333333333333/1000000000000000 (/.f64 1 (neg.f64 x))))
(+.f64 (+.f64 (-.f64 (.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (.f64 (/.f64 (*.f64 y z) x) z))
(+.f64 (+.f64 (.f64 -1/2 (log.f64 x)) 91893853320467/100000000000000) (+.f64 (.f64 83333333333333/1000000000000000 (/.f64 1 x)) (*.f64 -13888888888889/5000000000000000 (/.f64 z x))))
(+.f64 (+.f64 (-.f64 (.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (.f64 (*.f64 z z) (/.f64 y x)))
(+.f64 (+.f64 (-.f64 (.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (.f64 z (*.f64 z (/.f64 7936500793651/10000000000000000 x))))
(+.f64 (+.f64 (-.f64 (.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (/.f64 (.f64 y (*.f64 z z)) x))
(+.f64 (+.f64 (-.f64 91893853320467/100000000000000 x) (.f64 (log.f64 x) (+.f64 -1/2 x))) (/.f64 (.f64 z (*.f64 z y)) x))
(+.f64 (+.f64 (-.f64 (.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (.f64 (/.f64 z (/.f64 x z)) y))
(+.f64 (+.f64 (-.f64 91893853320467/100000000000000 x) (.f64 (log.f64 x) (+.f64 -1/2 x))) (/.f64 (+.f64 83333333333333/1000000000000000 (.f64 -13888888888889/5000000000000000 z)) x))
(+.f64 (+.f64 (-.f64 (.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (.f64 (*.f64 y (/.f64 z x)) z))
(+.f64 (+.f64 (-.f64 91893853320467/100000000000000 x) (.f64 (log.f64 x) (+.f64 -1/2 x))) (.f64 z (*.f64 z (/.f64 y x))))
(+.f64 (+.f64 (-.f64 (.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (/.f64 (+.f64 (.f64 -13888888888889/5000000000000000 z) 83333333333333/1000000000000000) x))
(+.f64 (+.f64 (-.f64 (.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (.f64 y (*.f64 z (/.f64 z x))))
(+.f64 (+.f64 (.f64 -1/2 (log.f64 x)) 91893853320467/100000000000000) (/.f64 (+.f64 (+.f64 (.f64 (.f64 7936500793651/10000000000000000 z) z) (.f64 -13888888888889/5000000000000000 z)) 83333333333333/1000000000000000) x))
(+.f64 (+.f64 (.f64 -1/2 (log.f64 x)) 91893853320467/100000000000000) (/.f64 (+.f64 (+.f64 (.f64 7936500793651/10000000000000000 (.f64 z z)) (.f64 -13888888888889/5000000000000000 z)) 83333333333333/1000000000000000) x))
(+.f64 (+.f64 (-.f64 91893853320467/100000000000000 x) (.f64 (log.f64 x) (+.f64 -1/2 x))) (.f64 z (*.f64 (/.f64 z x) (+.f64 y 7936500793651/10000000000000000))))
(+.f64 (+.f64 (-.f64 (.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (+.f64 (/.f64 83333333333333/1000000000000000 x) (.f64 -13888888888889/5000000000000000 (/.f64 z x))))

Outputs

(+.f64 (+.f64 (-.f64 91893853320467/100000000000000 x) (*.f64 (log.f64 x) (+.f64 -1/2 x))) (*.f64 z (*.f64 (/.f64 z x) (+.f64 y 7936500793651/10000000000000000))))

(+.f64 (+.f64 (-.f64 91893853320467/100000000000000 x) (*.f64 (log.f64 x) (+.f64 -1/2 x))) (/.f64 83333333333333/1000000000000000 x))

(+.f64 (+.f64 (-.f64 91893853320467/100000000000000 x) (*.f64 (log.f64 x) (+.f64 -1/2 x))) (*.f64 z (*.f64 (/.f64 z x) (+.f64 y 7936500793651/10000000000000000))))

Calls

4 calls:

50.0ms	z
35.0ms	x
20.0ms	y
13.0ms	(+.f64 y 7936500793651/10000000000000000)

Results

Error	Segments	Branch
2.7b	2	`x`
11.4b	1	`y`
2.3b	3	`z`
11.4b	1	`(+.f64 y 7936500793651/10000000000000000)`

Compiler

Compiled 532 to 311 computations (41.5% saved)

bsearch289.0ms (1.8%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
254.0ms	1.631448135645288e-20	6.382463769521561e-13
35.0ms	-5.834454076510694e-71	-1.6483261524865518e-73

Compiler

Compiled 411 to 304 computations (26% saved)

regimes127.0ms (0.8%)

Counts

33 → 3

Calls

Call 1

Inputs
(/.f64 83333333333333/1000000000000000 x)
(*.f64 -83333333333333/1000000000000000 (/.f64 1 (neg.f64 x)))
(+.f64 (+.f64 (neg.f64 x) 91893853320467/100000000000000) (/.f64 83333333333333/1000000000000000 x))
(pow.f64 (*.f64 x 1000000000000000/83333333333333) -1)
(sqrt.f64 (/.f64 6944444444444388888888888889/1000000000000000000000000000000 (*.f64 x x)))
(+.f64 (*.f64 (-.f64 (log.f64 x) 1) x) (/.f64 83333333333333/1000000000000000 x))
(+.f64 (+.f64 91893853320467/100000000000000 (*.f64 -1/2 (log.f64 x))) (/.f64 83333333333333/1000000000000000 x))
(+.f64 (-.f64 (*.f64 x (log.f64 x)) x) (/.f64 83333333333333/1000000000000000 x))
(+.f64 (+.f64 (-.f64 (*.f64 -1/2 (log.f64 x)) x) 91893853320467/100000000000000) (/.f64 83333333333333/1000000000000000 x))
(+.f64 (.f64 83333333333333/1000000000000000 (/.f64 1 x)) (.f64 (-.f64 (log.f64 x) 1) x))
(+.f64 (+.f64 (*.f64 x (+.f64 -1 (log.f64 x))) 91893853320467/100000000000000) (/.f64 83333333333333/1000000000000000 x))
(+.f64 (+.f64 (.f64 -1/2 (log.f64 x)) 91893853320467/100000000000000) (.f64 (*.f64 y (/.f64 z x)) z))
(+.f64 (+.f64 (.f64 -1/2 (log.f64 x)) 91893853320467/100000000000000) (.f64 y (*.f64 z (/.f64 z x))))
(+.f64 (+.f64 (-.f64 91893853320467/100000000000000 x) (*.f64 (log.f64 x) (+.f64 -1/2 x))) (/.f64 83333333333333/1000000000000000 x))
(+.f64 (+.f64 (-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (/.f64 83333333333333/1000000000000000 x))
(+.f64 (+.f64 (.f64 -1/2 (log.f64 x)) 91893853320467/100000000000000) (.f64 (*.f64 z z) (/.f64 (+.f64 7936500793651/10000000000000000 y) x)))
(+.f64 (+.f64 (.f64 x (+.f64 -1 (log.f64 x))) 91893853320467/100000000000000) (.f64 (*.f64 y (/.f64 z x)) z))
(+.f64 (+.f64 (-.f64 (.f64 x (log.f64 x)) x) 91893853320467/100000000000000) (.f64 y (*.f64 z (/.f64 z x))))
(+.f64 (+.f64 (-.f64 (.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (.f64 -83333333333333/1000000000000000 (/.f64 1 (neg.f64 x))))
(+.f64 (+.f64 (-.f64 (.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (.f64 (/.f64 (*.f64 y z) x) z))
(+.f64 (+.f64 (.f64 -1/2 (log.f64 x)) 91893853320467/100000000000000) (+.f64 (.f64 83333333333333/1000000000000000 (/.f64 1 x)) (*.f64 -13888888888889/5000000000000000 (/.f64 z x))))
(+.f64 (+.f64 (-.f64 (.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (.f64 (*.f64 z z) (/.f64 y x)))
(+.f64 (+.f64 (-.f64 (.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (.f64 z (*.f64 z (/.f64 7936500793651/10000000000000000 x))))
(+.f64 (+.f64 (-.f64 (.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (/.f64 (.f64 y (*.f64 z z)) x))
(+.f64 (+.f64 (-.f64 91893853320467/100000000000000 x) (.f64 (log.f64 x) (+.f64 -1/2 x))) (/.f64 (.f64 z (*.f64 z y)) x))
(+.f64 (+.f64 (-.f64 (.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (.f64 (/.f64 z (/.f64 x z)) y))
(+.f64 (+.f64 (-.f64 91893853320467/100000000000000 x) (.f64 (log.f64 x) (+.f64 -1/2 x))) (/.f64 (+.f64 83333333333333/1000000000000000 (.f64 -13888888888889/5000000000000000 z)) x))
(+.f64 (+.f64 (-.f64 (.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (.f64 (*.f64 y (/.f64 z x)) z))
(+.f64 (+.f64 (-.f64 91893853320467/100000000000000 x) (.f64 (log.f64 x) (+.f64 -1/2 x))) (.f64 z (*.f64 z (/.f64 y x))))
(+.f64 (+.f64 (-.f64 (.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (/.f64 (+.f64 (.f64 -13888888888889/5000000000000000 z) 83333333333333/1000000000000000) x))
(+.f64 (+.f64 (-.f64 (.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (.f64 y (*.f64 z (/.f64 z x))))
(+.f64 (+.f64 (.f64 -1/2 (log.f64 x)) 91893853320467/100000000000000) (/.f64 (+.f64 (+.f64 (.f64 (.f64 7936500793651/10000000000000000 z) z) (.f64 -13888888888889/5000000000000000 z)) 83333333333333/1000000000000000) x))
(+.f64 (+.f64 (.f64 -1/2 (log.f64 x)) 91893853320467/100000000000000) (/.f64 (+.f64 (+.f64 (.f64 7936500793651/10000000000000000 (.f64 z z)) (.f64 -13888888888889/5000000000000000 z)) 83333333333333/1000000000000000) x))

Outputs

(+.f64 (+.f64 (*.f64 -1/2 (log.f64 x)) 91893853320467/100000000000000) (/.f64 (+.f64 (+.f64 (*.f64 (*.f64 7936500793651/10000000000000000 z) z) (*.f64 -13888888888889/5000000000000000 z)) 83333333333333/1000000000000000) x))

(+.f64 (+.f64 (-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (*.f64 (/.f64 (*.f64 y z) x) z))

(+.f64 (+.f64 (-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (*.f64 z (*.f64 z (/.f64 7936500793651/10000000000000000 x))))

Calls

3 calls:

48.0ms	x
46.0ms	z
19.0ms	y

Results

Error	Segments	Branch
4.1b	3	`x`
11.4b	1	`y`
6.2b	3	`z`

Compiler

Compiled 486 to 283 computations (41.8% saved)

bsearch323.0ms (2%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
34.0ms	2.2489889267123014e+86	3.8351309230728843e+87
289.0ms	3.6353417097822706e-19	5.692694035691294e-10

Compiler

Compiled 447 to 331 computations (26% saved)

regimes117.0ms (0.7%)

Counts

31 → 3

Calls

Call 1

Inputs
(/.f64 83333333333333/1000000000000000 x)
(*.f64 -83333333333333/1000000000000000 (/.f64 1 (neg.f64 x)))
(+.f64 (+.f64 (neg.f64 x) 91893853320467/100000000000000) (/.f64 83333333333333/1000000000000000 x))
(pow.f64 (*.f64 x 1000000000000000/83333333333333) -1)
(sqrt.f64 (/.f64 6944444444444388888888888889/1000000000000000000000000000000 (*.f64 x x)))
(+.f64 (*.f64 (-.f64 (log.f64 x) 1) x) (/.f64 83333333333333/1000000000000000 x))
(+.f64 (+.f64 91893853320467/100000000000000 (*.f64 -1/2 (log.f64 x))) (/.f64 83333333333333/1000000000000000 x))
(+.f64 (-.f64 (*.f64 x (log.f64 x)) x) (/.f64 83333333333333/1000000000000000 x))
(+.f64 (+.f64 (-.f64 (*.f64 -1/2 (log.f64 x)) x) 91893853320467/100000000000000) (/.f64 83333333333333/1000000000000000 x))
(+.f64 (.f64 83333333333333/1000000000000000 (/.f64 1 x)) (.f64 (-.f64 (log.f64 x) 1) x))
(+.f64 (+.f64 (*.f64 x (+.f64 -1 (log.f64 x))) 91893853320467/100000000000000) (/.f64 83333333333333/1000000000000000 x))
(+.f64 (+.f64 (.f64 -1/2 (log.f64 x)) 91893853320467/100000000000000) (.f64 (*.f64 y (/.f64 z x)) z))
(+.f64 (+.f64 (.f64 -1/2 (log.f64 x)) 91893853320467/100000000000000) (.f64 y (*.f64 z (/.f64 z x))))
(+.f64 (+.f64 (-.f64 91893853320467/100000000000000 x) (*.f64 (log.f64 x) (+.f64 -1/2 x))) (/.f64 83333333333333/1000000000000000 x))
(+.f64 (+.f64 (-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (/.f64 83333333333333/1000000000000000 x))
(+.f64 (+.f64 (.f64 -1/2 (log.f64 x)) 91893853320467/100000000000000) (.f64 (*.f64 z z) (/.f64 (+.f64 7936500793651/10000000000000000 y) x)))
(+.f64 (+.f64 (.f64 x (+.f64 -1 (log.f64 x))) 91893853320467/100000000000000) (.f64 (*.f64 y (/.f64 z x)) z))
(+.f64 (+.f64 (-.f64 (.f64 x (log.f64 x)) x) 91893853320467/100000000000000) (.f64 y (*.f64 z (/.f64 z x))))
(+.f64 (+.f64 (-.f64 (.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (.f64 -83333333333333/1000000000000000 (/.f64 1 (neg.f64 x))))
(+.f64 (+.f64 (-.f64 (.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (.f64 (/.f64 (*.f64 y z) x) z))
(+.f64 (+.f64 (.f64 -1/2 (log.f64 x)) 91893853320467/100000000000000) (+.f64 (.f64 83333333333333/1000000000000000 (/.f64 1 x)) (*.f64 -13888888888889/5000000000000000 (/.f64 z x))))
(+.f64 (+.f64 (-.f64 (.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (.f64 (*.f64 z z) (/.f64 y x)))
(+.f64 (+.f64 (-.f64 (.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (.f64 z (*.f64 z (/.f64 7936500793651/10000000000000000 x))))
(+.f64 (+.f64 (-.f64 (.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (/.f64 (.f64 y (*.f64 z z)) x))
(+.f64 (+.f64 (-.f64 91893853320467/100000000000000 x) (.f64 (log.f64 x) (+.f64 -1/2 x))) (/.f64 (.f64 z (*.f64 z y)) x))
(+.f64 (+.f64 (-.f64 (.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (.f64 (/.f64 z (/.f64 x z)) y))
(+.f64 (+.f64 (-.f64 91893853320467/100000000000000 x) (.f64 (log.f64 x) (+.f64 -1/2 x))) (/.f64 (+.f64 83333333333333/1000000000000000 (.f64 -13888888888889/5000000000000000 z)) x))
(+.f64 (+.f64 (-.f64 (.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (.f64 (*.f64 y (/.f64 z x)) z))
(+.f64 (+.f64 (-.f64 91893853320467/100000000000000 x) (.f64 (log.f64 x) (+.f64 -1/2 x))) (.f64 z (*.f64 z (/.f64 y x))))
(+.f64 (+.f64 (-.f64 (.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (/.f64 (+.f64 (.f64 -13888888888889/5000000000000000 z) 83333333333333/1000000000000000) x))
(+.f64 (+.f64 (-.f64 (.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (.f64 y (*.f64 z (/.f64 z x))))

Outputs

(+.f64 (+.f64 (-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (*.f64 z (*.f64 z (/.f64 7936500793651/10000000000000000 x))))

(+.f64 (+.f64 (-.f64 91893853320467/100000000000000 x) (*.f64 (log.f64 x) (+.f64 -1/2 x))) (/.f64 (+.f64 83333333333333/1000000000000000 (*.f64 -13888888888889/5000000000000000 z)) x))

(+.f64 (+.f64 (-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (*.f64 z (*.f64 z (/.f64 7936500793651/10000000000000000 x))))

Calls

3 calls:

45.0ms	x
43.0ms	z
16.0ms	y

Results

Error	Segments	Branch
6.8b	3	`x`
11.4b	1	`y`
6.2b	3	`z`

Compiler

Compiled 446 to 256 computations (42.6% saved)

bsearch525.0ms (3.2%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
250.0ms	6.382463769521561e-13	5.079464746102354e-12
274.0ms	-0.06690007848161342	-2.771237763686076e-6

Compiler

Compiled 649 to 487 computations (25% saved)

regimes145.0ms (0.9%)

Counts

26 → 3

Calls

Call 1

Inputs
(/.f64 83333333333333/1000000000000000 x)
(*.f64 -83333333333333/1000000000000000 (/.f64 1 (neg.f64 x)))
(+.f64 (+.f64 (neg.f64 x) 91893853320467/100000000000000) (/.f64 83333333333333/1000000000000000 x))
(pow.f64 (*.f64 x 1000000000000000/83333333333333) -1)
(sqrt.f64 (/.f64 6944444444444388888888888889/1000000000000000000000000000000 (*.f64 x x)))
(+.f64 (*.f64 (-.f64 (log.f64 x) 1) x) (/.f64 83333333333333/1000000000000000 x))
(+.f64 (+.f64 91893853320467/100000000000000 (*.f64 -1/2 (log.f64 x))) (/.f64 83333333333333/1000000000000000 x))
(+.f64 (-.f64 (*.f64 x (log.f64 x)) x) (/.f64 83333333333333/1000000000000000 x))
(+.f64 (+.f64 (-.f64 (*.f64 -1/2 (log.f64 x)) x) 91893853320467/100000000000000) (/.f64 83333333333333/1000000000000000 x))
(+.f64 (.f64 83333333333333/1000000000000000 (/.f64 1 x)) (.f64 (-.f64 (log.f64 x) 1) x))
(+.f64 (+.f64 (*.f64 x (+.f64 -1 (log.f64 x))) 91893853320467/100000000000000) (/.f64 83333333333333/1000000000000000 x))
(+.f64 (+.f64 (.f64 -1/2 (log.f64 x)) 91893853320467/100000000000000) (.f64 (*.f64 y (/.f64 z x)) z))
(+.f64 (+.f64 (.f64 -1/2 (log.f64 x)) 91893853320467/100000000000000) (.f64 y (*.f64 z (/.f64 z x))))
(+.f64 (+.f64 (-.f64 91893853320467/100000000000000 x) (*.f64 (log.f64 x) (+.f64 -1/2 x))) (/.f64 83333333333333/1000000000000000 x))
(+.f64 (+.f64 (-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (/.f64 83333333333333/1000000000000000 x))
(+.f64 (+.f64 (.f64 -1/2 (log.f64 x)) 91893853320467/100000000000000) (.f64 (*.f64 z z) (/.f64 (+.f64 7936500793651/10000000000000000 y) x)))
(+.f64 (+.f64 (.f64 x (+.f64 -1 (log.f64 x))) 91893853320467/100000000000000) (.f64 (*.f64 y (/.f64 z x)) z))
(+.f64 (+.f64 (-.f64 (.f64 x (log.f64 x)) x) 91893853320467/100000000000000) (.f64 y (*.f64 z (/.f64 z x))))
(+.f64 (+.f64 (-.f64 (.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (.f64 -83333333333333/1000000000000000 (/.f64 1 (neg.f64 x))))
(+.f64 (+.f64 (-.f64 (.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (.f64 (/.f64 (*.f64 y z) x) z))
(+.f64 (+.f64 (.f64 -1/2 (log.f64 x)) 91893853320467/100000000000000) (+.f64 (.f64 83333333333333/1000000000000000 (/.f64 1 x)) (*.f64 -13888888888889/5000000000000000 (/.f64 z x))))
(+.f64 (+.f64 (-.f64 (.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (.f64 (*.f64 z z) (/.f64 y x)))
(+.f64 (+.f64 (-.f64 (.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (.f64 z (*.f64 z (/.f64 7936500793651/10000000000000000 x))))
(+.f64 (+.f64 (-.f64 (.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (/.f64 (.f64 y (*.f64 z z)) x))
(+.f64 (+.f64 (-.f64 91893853320467/100000000000000 x) (.f64 (log.f64 x) (+.f64 -1/2 x))) (/.f64 (.f64 z (*.f64 z y)) x))
(+.f64 (+.f64 (-.f64 (.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (.f64 (/.f64 z (/.f64 x z)) y))

Outputs

(+.f64 (+.f64 (-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (*.f64 z (*.f64 z (/.f64 7936500793651/10000000000000000 x))))

(+.f64 (+.f64 (-.f64 91893853320467/100000000000000 x) (*.f64 (log.f64 x) (+.f64 -1/2 x))) (/.f64 83333333333333/1000000000000000 x))

(+.f64 (+.f64 (-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (*.f64 z (*.f64 z (/.f64 7936500793651/10000000000000000 x))))

Calls

3 calls:

77.0ms	z
40.0ms	x
15.0ms	y

Results

Error	Segments	Branch
6.9b	3	`x`
11.5b	1	`y`
6.4b	3	`z`

Compiler

Compiled 356 to 209 computations (41.3% saved)

bsearch498.0ms (3.1%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
201.0ms	6.382463769521561e-13	5.079464746102354e-12
297.0ms	-0.06690007848161342	-2.771237763686076e-6

Compiler

Compiled 593 to 445 computations (25% saved)

regimes131.0ms (0.8%)

Counts

22 → 3

Calls

Call 1

Inputs
(/.f64 83333333333333/1000000000000000 x)
(*.f64 -83333333333333/1000000000000000 (/.f64 1 (neg.f64 x)))
(+.f64 (+.f64 (neg.f64 x) 91893853320467/100000000000000) (/.f64 83333333333333/1000000000000000 x))
(pow.f64 (*.f64 x 1000000000000000/83333333333333) -1)
(sqrt.f64 (/.f64 6944444444444388888888888889/1000000000000000000000000000000 (*.f64 x x)))
(+.f64 (*.f64 (-.f64 (log.f64 x) 1) x) (/.f64 83333333333333/1000000000000000 x))
(+.f64 (+.f64 91893853320467/100000000000000 (*.f64 -1/2 (log.f64 x))) (/.f64 83333333333333/1000000000000000 x))
(+.f64 (-.f64 (*.f64 x (log.f64 x)) x) (/.f64 83333333333333/1000000000000000 x))
(+.f64 (+.f64 (-.f64 (*.f64 -1/2 (log.f64 x)) x) 91893853320467/100000000000000) (/.f64 83333333333333/1000000000000000 x))
(+.f64 (.f64 83333333333333/1000000000000000 (/.f64 1 x)) (.f64 (-.f64 (log.f64 x) 1) x))
(+.f64 (+.f64 (*.f64 x (+.f64 -1 (log.f64 x))) 91893853320467/100000000000000) (/.f64 83333333333333/1000000000000000 x))
(+.f64 (+.f64 (.f64 -1/2 (log.f64 x)) 91893853320467/100000000000000) (.f64 (*.f64 y (/.f64 z x)) z))
(+.f64 (+.f64 (.f64 -1/2 (log.f64 x)) 91893853320467/100000000000000) (.f64 y (*.f64 z (/.f64 z x))))
(+.f64 (+.f64 (-.f64 91893853320467/100000000000000 x) (*.f64 (log.f64 x) (+.f64 -1/2 x))) (/.f64 83333333333333/1000000000000000 x))
(+.f64 (+.f64 (-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (/.f64 83333333333333/1000000000000000 x))
(+.f64 (+.f64 (.f64 -1/2 (log.f64 x)) 91893853320467/100000000000000) (.f64 (*.f64 z z) (/.f64 (+.f64 7936500793651/10000000000000000 y) x)))
(+.f64 (+.f64 (.f64 x (+.f64 -1 (log.f64 x))) 91893853320467/100000000000000) (.f64 (*.f64 y (/.f64 z x)) z))
(+.f64 (+.f64 (-.f64 (.f64 x (log.f64 x)) x) 91893853320467/100000000000000) (.f64 y (*.f64 z (/.f64 z x))))
(+.f64 (+.f64 (-.f64 (.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (.f64 -83333333333333/1000000000000000 (/.f64 1 (neg.f64 x))))
(+.f64 (+.f64 (-.f64 (.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (.f64 (/.f64 (*.f64 y z) x) z))
(+.f64 (+.f64 (.f64 -1/2 (log.f64 x)) 91893853320467/100000000000000) (+.f64 (.f64 83333333333333/1000000000000000 (/.f64 1 x)) (*.f64 -13888888888889/5000000000000000 (/.f64 z x))))
(+.f64 (+.f64 (-.f64 (.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (.f64 (*.f64 z z) (/.f64 y x)))

Outputs

(+.f64 (+.f64 (-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (*.f64 (/.f64 (*.f64 y z) x) z))

(+.f64 (+.f64 (-.f64 91893853320467/100000000000000 x) (*.f64 (log.f64 x) (+.f64 -1/2 x))) (/.f64 83333333333333/1000000000000000 x))

(+.f64 (+.f64 (*.f64 x (+.f64 -1 (log.f64 x))) 91893853320467/100000000000000) (*.f64 (*.f64 y (/.f64 z x)) z))

Calls

3 calls:

52.0ms	z
37.0ms	y
34.0ms	x

Results

Error	Segments	Branch
8.5b	2	`x`
11.5b	1	`y`
7.7b	3	`z`

Compiler

Compiled 284 to 169 computations (40.5% saved)

bsearch356.0ms (2.2%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
319.0ms	1.631448135645288e-20	6.382463769521561e-13
36.0ms	-5.834454076510694e-71	-1.6483261524865518e-73

Compiler

Compiled 375 to 277 computations (26.1% saved)

regimes116.0ms (0.7%)

Counts

19 → 3

Calls

Call 1

Inputs
(/.f64 83333333333333/1000000000000000 x)
(*.f64 -83333333333333/1000000000000000 (/.f64 1 (neg.f64 x)))
(+.f64 (+.f64 (neg.f64 x) 91893853320467/100000000000000) (/.f64 83333333333333/1000000000000000 x))
(pow.f64 (*.f64 x 1000000000000000/83333333333333) -1)
(sqrt.f64 (/.f64 6944444444444388888888888889/1000000000000000000000000000000 (*.f64 x x)))
(+.f64 (*.f64 (-.f64 (log.f64 x) 1) x) (/.f64 83333333333333/1000000000000000 x))
(+.f64 (+.f64 91893853320467/100000000000000 (*.f64 -1/2 (log.f64 x))) (/.f64 83333333333333/1000000000000000 x))
(+.f64 (-.f64 (*.f64 x (log.f64 x)) x) (/.f64 83333333333333/1000000000000000 x))
(+.f64 (+.f64 (-.f64 (*.f64 -1/2 (log.f64 x)) x) 91893853320467/100000000000000) (/.f64 83333333333333/1000000000000000 x))
(+.f64 (.f64 83333333333333/1000000000000000 (/.f64 1 x)) (.f64 (-.f64 (log.f64 x) 1) x))
(+.f64 (+.f64 (*.f64 x (+.f64 -1 (log.f64 x))) 91893853320467/100000000000000) (/.f64 83333333333333/1000000000000000 x))
(+.f64 (+.f64 (.f64 -1/2 (log.f64 x)) 91893853320467/100000000000000) (.f64 (*.f64 y (/.f64 z x)) z))
(+.f64 (+.f64 (.f64 -1/2 (log.f64 x)) 91893853320467/100000000000000) (.f64 y (*.f64 z (/.f64 z x))))
(+.f64 (+.f64 (-.f64 91893853320467/100000000000000 x) (*.f64 (log.f64 x) (+.f64 -1/2 x))) (/.f64 83333333333333/1000000000000000 x))
(+.f64 (+.f64 (-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (/.f64 83333333333333/1000000000000000 x))
(+.f64 (+.f64 (.f64 -1/2 (log.f64 x)) 91893853320467/100000000000000) (.f64 (*.f64 z z) (/.f64 (+.f64 7936500793651/10000000000000000 y) x)))
(+.f64 (+.f64 (.f64 x (+.f64 -1 (log.f64 x))) 91893853320467/100000000000000) (.f64 (*.f64 y (/.f64 z x)) z))
(+.f64 (+.f64 (-.f64 (.f64 x (log.f64 x)) x) 91893853320467/100000000000000) (.f64 y (*.f64 z (/.f64 z x))))
(+.f64 (+.f64 (-.f64 (.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (.f64 -83333333333333/1000000000000000 (/.f64 1 (neg.f64 x))))

Outputs

(+.f64 (+.f64 (*.f64 x (+.f64 -1 (log.f64 x))) 91893853320467/100000000000000) (*.f64 (*.f64 y (/.f64 z x)) z))

(+.f64 (+.f64 (-.f64 91893853320467/100000000000000 x) (*.f64 (log.f64 x) (+.f64 -1/2 x))) (/.f64 83333333333333/1000000000000000 x))

(+.f64 (+.f64 (*.f64 x (+.f64 -1 (log.f64 x))) 91893853320467/100000000000000) (*.f64 (*.f64 y (/.f64 z x)) z))

Calls

3 calls:

58.0ms	x
39.0ms	z
12.0ms	y

Results

Error	Segments	Branch
8.6b	2	`x`
11.5b	1	`y`
7.7b	3	`z`

Compiler

Compiled 230 to 138 computations (40% saved)

bsearch383.0ms (2.4%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
318.0ms	1.631448135645288e-20	6.382463769521561e-13
65.0ms	-5.834454076510694e-71	-1.6483261524865518e-73

Compiler

Compiled 375 to 277 computations (26.1% saved)

regimes110.0ms (0.7%)

Counts

16 → 3

Calls

Call 1

Inputs
(/.f64 83333333333333/1000000000000000 x)
(*.f64 -83333333333333/1000000000000000 (/.f64 1 (neg.f64 x)))
(+.f64 (+.f64 (neg.f64 x) 91893853320467/100000000000000) (/.f64 83333333333333/1000000000000000 x))
(pow.f64 (*.f64 x 1000000000000000/83333333333333) -1)
(sqrt.f64 (/.f64 6944444444444388888888888889/1000000000000000000000000000000 (*.f64 x x)))
(+.f64 (*.f64 (-.f64 (log.f64 x) 1) x) (/.f64 83333333333333/1000000000000000 x))
(+.f64 (+.f64 91893853320467/100000000000000 (*.f64 -1/2 (log.f64 x))) (/.f64 83333333333333/1000000000000000 x))
(+.f64 (-.f64 (*.f64 x (log.f64 x)) x) (/.f64 83333333333333/1000000000000000 x))
(+.f64 (+.f64 (-.f64 (*.f64 -1/2 (log.f64 x)) x) 91893853320467/100000000000000) (/.f64 83333333333333/1000000000000000 x))
(+.f64 (.f64 83333333333333/1000000000000000 (/.f64 1 x)) (.f64 (-.f64 (log.f64 x) 1) x))
(+.f64 (+.f64 (*.f64 x (+.f64 -1 (log.f64 x))) 91893853320467/100000000000000) (/.f64 83333333333333/1000000000000000 x))
(+.f64 (+.f64 (.f64 -1/2 (log.f64 x)) 91893853320467/100000000000000) (.f64 (*.f64 y (/.f64 z x)) z))
(+.f64 (+.f64 (.f64 -1/2 (log.f64 x)) 91893853320467/100000000000000) (.f64 y (*.f64 z (/.f64 z x))))
(+.f64 (+.f64 (-.f64 91893853320467/100000000000000 x) (*.f64 (log.f64 x) (+.f64 -1/2 x))) (/.f64 83333333333333/1000000000000000 x))
(+.f64 (+.f64 (-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (/.f64 83333333333333/1000000000000000 x))
(+.f64 (+.f64 (.f64 -1/2 (log.f64 x)) 91893853320467/100000000000000) (.f64 (*.f64 z z) (/.f64 (+.f64 7936500793651/10000000000000000 y) x)))

Outputs

(+.f64 (*.f64 (-.f64 (log.f64 x) 1) x) (/.f64 83333333333333/1000000000000000 x))

(+.f64 (+.f64 (*.f64 -1/2 (log.f64 x)) 91893853320467/100000000000000) (*.f64 (*.f64 z z) (/.f64 (+.f64 7936500793651/10000000000000000 y) x)))

(+.f64 (+.f64 (-.f64 91893853320467/100000000000000 x) (*.f64 (log.f64 x) (+.f64 -1/2 x))) (/.f64 83333333333333/1000000000000000 x))

Calls

3 calls:

36.0ms	y
32.0ms	z
30.0ms	x

Results

Error	Segments	Branch
10.3b	3	`x`
11.5b	1	`y`
9.3b	3	`z`

Compiler

Compiled 181 to 118 computations (34.8% saved)

bsearch316.0ms (2%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
250.0ms	-0.06690007848161342	-2.771237763686076e-6
66.0ms	-1.966756724215743e+91	-4.079223772373498e+82

Compiler

Compiled 643 to 491 computations (23.6% saved)

regimes35.0ms (0.2%)

Counts

15 → 1

Calls

Call 1

Inputs
(/.f64 83333333333333/1000000000000000 x)
(*.f64 -83333333333333/1000000000000000 (/.f64 1 (neg.f64 x)))
(+.f64 (+.f64 (neg.f64 x) 91893853320467/100000000000000) (/.f64 83333333333333/1000000000000000 x))
(pow.f64 (*.f64 x 1000000000000000/83333333333333) -1)
(sqrt.f64 (/.f64 6944444444444388888888888889/1000000000000000000000000000000 (*.f64 x x)))
(+.f64 (*.f64 (-.f64 (log.f64 x) 1) x) (/.f64 83333333333333/1000000000000000 x))
(+.f64 (+.f64 91893853320467/100000000000000 (*.f64 -1/2 (log.f64 x))) (/.f64 83333333333333/1000000000000000 x))
(+.f64 (-.f64 (*.f64 x (log.f64 x)) x) (/.f64 83333333333333/1000000000000000 x))
(+.f64 (+.f64 (-.f64 (*.f64 -1/2 (log.f64 x)) x) 91893853320467/100000000000000) (/.f64 83333333333333/1000000000000000 x))
(+.f64 (.f64 83333333333333/1000000000000000 (/.f64 1 x)) (.f64 (-.f64 (log.f64 x) 1) x))
(+.f64 (+.f64 (*.f64 x (+.f64 -1 (log.f64 x))) 91893853320467/100000000000000) (/.f64 83333333333333/1000000000000000 x))
(+.f64 (+.f64 (.f64 -1/2 (log.f64 x)) 91893853320467/100000000000000) (.f64 (*.f64 y (/.f64 z x)) z))
(+.f64 (+.f64 (.f64 -1/2 (log.f64 x)) 91893853320467/100000000000000) (.f64 y (*.f64 z (/.f64 z x))))
(+.f64 (+.f64 (-.f64 91893853320467/100000000000000 x) (*.f64 (log.f64 x) (+.f64 -1/2 x))) (/.f64 83333333333333/1000000000000000 x))
(+.f64 (+.f64 (-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (/.f64 83333333333333/1000000000000000 x))

Outputs
(+.f64 (+.f64 (-.f64 91893853320467/100000000000000 x) (*.f64 (log.f64 x) (+.f64 -1/2 x))) (/.f64 83333333333333/1000000000000000 x))

Calls

3 calls:

10.0ms	z
10.0ms	x
9.0ms	y

Results

Error	Segments	Branch
11.5b	1	`x`
11.5b	1	`y`
11.5b	1	`z`

Compiler

Compiled 165 to 108 computations (34.5% saved)

regimes31.0ms (0.2%)

Counts

13 → 1

Calls

Call 1

Inputs
(/.f64 83333333333333/1000000000000000 x)
(*.f64 -83333333333333/1000000000000000 (/.f64 1 (neg.f64 x)))
(+.f64 (+.f64 (neg.f64 x) 91893853320467/100000000000000) (/.f64 83333333333333/1000000000000000 x))
(pow.f64 (*.f64 x 1000000000000000/83333333333333) -1)
(sqrt.f64 (/.f64 6944444444444388888888888889/1000000000000000000000000000000 (*.f64 x x)))
(+.f64 (*.f64 (-.f64 (log.f64 x) 1) x) (/.f64 83333333333333/1000000000000000 x))
(+.f64 (+.f64 91893853320467/100000000000000 (*.f64 -1/2 (log.f64 x))) (/.f64 83333333333333/1000000000000000 x))
(+.f64 (-.f64 (*.f64 x (log.f64 x)) x) (/.f64 83333333333333/1000000000000000 x))
(+.f64 (+.f64 (-.f64 (*.f64 -1/2 (log.f64 x)) x) 91893853320467/100000000000000) (/.f64 83333333333333/1000000000000000 x))
(+.f64 (.f64 83333333333333/1000000000000000 (/.f64 1 x)) (.f64 (-.f64 (log.f64 x) 1) x))
(+.f64 (+.f64 (*.f64 x (+.f64 -1 (log.f64 x))) 91893853320467/100000000000000) (/.f64 83333333333333/1000000000000000 x))
(+.f64 (+.f64 (.f64 -1/2 (log.f64 x)) 91893853320467/100000000000000) (.f64 (*.f64 y (/.f64 z x)) z))
(+.f64 (+.f64 (.f64 -1/2 (log.f64 x)) 91893853320467/100000000000000) (.f64 y (*.f64 z (/.f64 z x))))

Outputs
(+.f64 (*.f64 (-.f64 (log.f64 x) 1) x) (/.f64 83333333333333/1000000000000000 x))

Calls

3 calls:

9.0ms	z
8.0ms	y
8.0ms	x

Results

Error	Segments	Branch
11.5b	1	`x`
11.5b	1	`y`
11.5b	1	`z`

Compiler

Compiled 137 to 90 computations (34.3% saved)

regimes19.0ms (0.1%)

Counts

5 → 1

Calls

Call 1

Inputs
(/.f64 83333333333333/1000000000000000 x)
(*.f64 -83333333333333/1000000000000000 (/.f64 1 (neg.f64 x)))
(+.f64 (+.f64 (neg.f64 x) 91893853320467/100000000000000) (/.f64 83333333333333/1000000000000000 x))
(pow.f64 (*.f64 x 1000000000000000/83333333333333) -1)
(sqrt.f64 (/.f64 6944444444444388888888888889/1000000000000000000000000000000 (*.f64 x x)))

Outputs
(pow.f64 (*.f64 x 1000000000000000/83333333333333) -1)

Calls

3 calls:

6.0ms	y
5.0ms	x
5.0ms	z

Results

Error	Segments	Branch
41.6b	1	`x`
41.6b	1	`y`
41.6b	1	`z`

Compiler

Compiled 43 to 32 computations (25.6% saved)

regimes14.0ms (0.1%)

Accuracy

Total -1.0b remaining (-2.4%)

Threshold costs -1.0b (-2.4%)

Counts

3 → 1

Calls

Call 1

Inputs

(/.f64 83333333333333/1000000000000000 x)

(*.f64 -83333333333333/1000000000000000 (/.f64 1 (neg.f64 x)))

(+.f64 (+.f64 (neg.f64 x) 91893853320467/100000000000000) (/.f64 83333333333333/1000000000000000 x))

Outputs
(/.f64 83333333333333/1000000000000000 x)

Calls

3 calls:

4.0ms	y
4.0ms	z
4.0ms	x

Results

Error	Segments	Branch
41.7b	1	`x`
41.7b	1	`y`
41.7b	1	`z`

Compiler

Compiled 32 to 24 computations (25% saved)

simplify30.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

35×	`+-commutative_binary64`
25×	`*-commutative_binary64`
6×	`sub-neg_binary64`
1×	`neg-sub0_binary64`
1×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	127	1100
1	197	1100
2	202	1100
3	204	1100
4	205	1100

Stop Event

1×

saturated

Calls

Call 1

Inputs
(+.f64 (+.f64 (-.f64 (.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (+.f64 (/.f64 1 (.f64 x 1000000000000000/83333333333333)) (+.f64 (.f64 (/.f64 z x) (.f64 z (+.f64 7936500793651/10000000000000000 y))) (*.f64 (/.f64 z x) -13888888888889/5000000000000000))))
(+.f64 (+.f64 (-.f64 (.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (+.f64 (/.f64 83333333333333/1000000000000000 x) (+.f64 (.f64 (/.f64 z x) (.f64 z (+.f64 7936500793651/10000000000000000 y))) (.f64 (/.f64 z x) -13888888888889/5000000000000000))))
(if (<=.f64 z -999999999999999945322333868247445125709646570021247924665841614848) (+.f64 (+.f64 (-.f64 91893853320467/100000000000000 x) (.f64 (log.f64 x) (+.f64 -1/2 x))) (.f64 z (.f64 (/.f64 z x) (+.f64 y 7936500793651/10000000000000000)))) (if (<=.f64 z 409600000000000000000000/4096) (+.f64 (+.f64 (-.f64 (.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (/.f64 (+.f64 (+.f64 (.f64 (.f64 (+.f64 y 7936500793651/10000000000000000) z) z) (.f64 -13888888888889/5000000000000000 z)) 83333333333333/1000000000000000) x)) (+.f64 (+.f64 (-.f64 91893853320467/100000000000000 x) (.f64 (log.f64 x) (+.f64 -1/2 x))) (.f64 z (.f64 (/.f64 z x) (+.f64 y 7936500793651/10000000000000000))))))
(if (<=.f64 z -999999999999999945322333868247445125709646570021247924665841614848) (+.f64 (+.f64 (-.f64 91893853320467/100000000000000 x) (.f64 (log.f64 x) (+.f64 -1/2 x))) (.f64 z (.f64 (/.f64 z x) (+.f64 y 7936500793651/10000000000000000)))) (if (<=.f64 z 409600000000000000000000/4096) (+.f64 (+.f64 (-.f64 (.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (/.f64 (+.f64 (.f64 (-.f64 (.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000) x)) (+.f64 (+.f64 (-.f64 91893853320467/100000000000000 x) (.f64 (log.f64 x) (+.f64 -1/2 x))) (.f64 z (*.f64 (/.f64 z x) (+.f64 y 7936500793651/10000000000000000))))))
(if (<=.f64 x 1) (+.f64 (+.f64 (.f64 -1/2 (log.f64 x)) 91893853320467/100000000000000) (/.f64 (+.f64 (+.f64 (.f64 (.f64 (+.f64 y 7936500793651/10000000000000000) z) z) (.f64 -13888888888889/5000000000000000 z)) 83333333333333/1000000000000000) x)) (+.f64 (+.f64 (-.f64 91893853320467/100000000000000 x) (.f64 (log.f64 x) (+.f64 -1/2 x))) (.f64 z (*.f64 (/.f64 z x) (+.f64 y 7936500793651/10000000000000000)))))
(if (<=.f64 x 1) (+.f64 (+.f64 (.f64 -1/2 (log.f64 x)) 91893853320467/100000000000000) (/.f64 (+.f64 (.f64 (-.f64 (.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000) x)) (+.f64 (+.f64 (-.f64 91893853320467/100000000000000 x) (.f64 (log.f64 x) (+.f64 -1/2 x))) (.f64 z (.f64 (/.f64 z x) (+.f64 y 7936500793651/10000000000000000)))))
(if (<=.f64 z -29016095840145712/497323236409786642155382248146820840100456150797347717440463976893159497012533375533056) (+.f64 (+.f64 (-.f64 91893853320467/100000000000000 x) (.f64 (log.f64 x) (+.f64 -1/2 x))) (.f64 z (.f64 (/.f64 z x) (+.f64 y 7936500793651/10000000000000000)))) (if (<=.f64 z 49121460758843888/79228162514264337593543950336) (+.f64 (+.f64 (-.f64 91893853320467/100000000000000 x) (.f64 (log.f64 x) (+.f64 -1/2 x))) (/.f64 83333333333333/1000000000000000 x)) (+.f64 (+.f64 (-.f64 91893853320467/100000000000000 x) (.f64 (log.f64 x) (+.f64 -1/2 x))) (.f64 z (*.f64 (/.f64 z x) (+.f64 y 7936500793651/10000000000000000))))))
(if (<=.f64 x 7684599350631545/20769187434139310514121985316880384) (+.f64 (+.f64 (.f64 -1/2 (log.f64 x)) 91893853320467/100000000000000) (/.f64 (+.f64 (+.f64 (.f64 (.f64 7936500793651/10000000000000000 z) z) (.f64 -13888888888889/5000000000000000 z)) 83333333333333/1000000000000000) x)) (if (<=.f64 x 224898892671230139190406059801618520024249342569873682562656239095125183419401642180608) (+.f64 (+.f64 (-.f64 (.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (.f64 (/.f64 (.f64 y z) x) z)) (+.f64 (+.f64 (-.f64 (.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (.f64 z (.f64 z (/.f64 7936500793651/10000000000000000 x))))))
(if (<=.f64 z -1199038364791120896/18446744073709551616) (+.f64 (+.f64 (-.f64 (.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (.f64 z (.f64 z (/.f64 7936500793651/10000000000000000 x)))) (if (<=.f64 z 396140812571321664/79228162514264337593543950336) (+.f64 (+.f64 (-.f64 91893853320467/100000000000000 x) (.f64 (log.f64 x) (+.f64 -1/2 x))) (/.f64 (+.f64 83333333333333/1000000000000000 (.f64 -13888888888889/5000000000000000 z)) x)) (+.f64 (+.f64 (-.f64 (.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (.f64 z (.f64 z (/.f64 7936500793651/10000000000000000 x))))))
(if (<=.f64 z -1199038364791120896/18446744073709551616) (+.f64 (+.f64 (-.f64 (.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (.f64 z (.f64 z (/.f64 7936500793651/10000000000000000 x)))) (if (<=.f64 z 396140812571321664/79228162514264337593543950336) (+.f64 (+.f64 (-.f64 91893853320467/100000000000000 x) (.f64 (log.f64 x) (+.f64 -1/2 x))) (/.f64 83333333333333/1000000000000000 x)) (+.f64 (+.f64 (-.f64 (.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (.f64 z (*.f64 z (/.f64 7936500793651/10000000000000000 x))))))
(if (<=.f64 z -29016095840145712/497323236409786642155382248146820840100456150797347717440463976893159497012533375533056) (+.f64 (+.f64 (-.f64 (.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (.f64 (/.f64 (.f64 y z) x) z)) (if (<=.f64 z 49121460758843888/79228162514264337593543950336) (+.f64 (+.f64 (-.f64 91893853320467/100000000000000 x) (.f64 (log.f64 x) (+.f64 -1/2 x))) (/.f64 83333333333333/1000000000000000 x)) (+.f64 (+.f64 (.f64 x (+.f64 -1 (log.f64 x))) 91893853320467/100000000000000) (.f64 (*.f64 y (/.f64 z x)) z))))
(if (<=.f64 z -29016095840145712/497323236409786642155382248146820840100456150797347717440463976893159497012533375533056) (+.f64 (+.f64 (.f64 x (+.f64 -1 (log.f64 x))) 91893853320467/100000000000000) (.f64 (.f64 y (/.f64 z x)) z)) (if (<=.f64 z 49121460758843888/79228162514264337593543950336) (+.f64 (+.f64 (-.f64 91893853320467/100000000000000 x) (.f64 (log.f64 x) (+.f64 -1/2 x))) (/.f64 83333333333333/1000000000000000 x)) (+.f64 (+.f64 (.f64 x (+.f64 -1 (log.f64 x))) 91893853320467/100000000000000) (.f64 (*.f64 y (/.f64 z x)) z))))
(if (<=.f64 z -42000000000000000485081455686021596286340133072621285256243359832936699389250895872) (+.f64 (.f64 (-.f64 (log.f64 x) 1) x) (/.f64 83333333333333/1000000000000000 x)) (if (<=.f64 z -1199038364791120896/18446744073709551616) (+.f64 (+.f64 (.f64 -1/2 (log.f64 x)) 91893853320467/100000000000000) (.f64 (.f64 z z) (/.f64 (+.f64 7936500793651/10000000000000000 y) x))) (+.f64 (+.f64 (-.f64 91893853320467/100000000000000 x) (*.f64 (log.f64 x) (+.f64 -1/2 x))) (/.f64 83333333333333/1000000000000000 x))))
(+.f64 (+.f64 (-.f64 91893853320467/100000000000000 x) (*.f64 (log.f64 x) (+.f64 -1/2 x))) (/.f64 83333333333333/1000000000000000 x))
(+.f64 (*.f64 (-.f64 (log.f64 x) 1) x) (/.f64 83333333333333/1000000000000000 x))
(pow.f64 (*.f64 x 1000000000000000/83333333333333) -1)
(/.f64 83333333333333/1000000000000000 x)

Outputs
(+.f64 (+.f64 (-.f64 (.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (+.f64 (/.f64 1 (.f64 x 1000000000000000/83333333333333)) (+.f64 (.f64 (/.f64 z x) (.f64 z (+.f64 7936500793651/10000000000000000 y))) (*.f64 (/.f64 z x) -13888888888889/5000000000000000))))
(+.f64 (+.f64 (-.f64 (.f64 (+.f64 x -1/2) (log.f64 x)) x) 91893853320467/100000000000000) (+.f64 (/.f64 1 (.f64 x 1000000000000000/83333333333333)) (+.f64 (.f64 (/.f64 z x) (.f64 z (+.f64 7936500793651/10000000000000000 y))) (*.f64 (/.f64 z x) -13888888888889/5000000000000000))))
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end302.0ms (1.9%)

Stop Event

1×

fuel

Compiler

Compiled 1522 to 977 computations (35.8% saved)