Details

analyze642.0ms (12.2%)

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
12.5%	87.4%	0.1%	4
12.5%	62.4%	25.1%	5
12.5%	62.4%	25.1%	6
12.5%	62.4%	25.1%	7
17.2%	45.2%	37.6%	8
18.3%	42.9%	38.8%	9
19.5%	38.6%	41.9%	10
23.9%	27.6%	48.5%	11
25.6%	25%	49.4%	12
27.2%	21.7%	51.1%	13
30.1%	15.2%	54.7%	14

Compiler

Compiled 28 to 21 computations (25% saved)

sample1.7s (32.6%)

Results

1.3s	8256×	body	128	valid
400.0ms	2715×	body	128	invalid

Compiler

Compiled 56 to 42 computations (25% saved)

preprocess55.0ms (1.1%)

Algorithm

2×	egg-herbie

Rules

864×	`fma-def_binary64`
536×	`fma-neg_binary64`
395×	`+-commutative_binary64`
348×	`associate--l+_binary64`
243×	`associate-+l+_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
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 (+.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 (+.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 27 to 20 computations (25.9% saved)

simplify38.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

692×	`fma-def_binary64`
568×	`fma-neg_binary64`
319×	`sub-neg_binary64`
295×	`cancel-sign-sub-inv_binary64`
235×	`distribute-rgt-in_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

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))

prune4.0ms (0.1%)

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

4.5b

Counts

3 → 2

Alt Table

Status	Error	Program
	4.5b	(+.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))
▶	4.5b	(+.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))

Status

Error

Program

4.5b

(+.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))

▶

4.5b

(+.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))

Compiler

Compiled 150 to 107 computations (28.7% saved)

localize13.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000)
✓	0.1b	(fma.f64 (log.f64 x) (-.f64 1/2 x) x)
✓	0.2b	(-.f64 91893853320467/100000000000000 (fma.f64 (log.f64 x) (-.f64 1/2 x) x))
✓	4.2b	(/.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000) x)

series26.0ms (0.5%)

Counts

4 → 84

Calls

21 calls:

Time	Variable		Point	Expression
6.0ms	x	@	0	(-.f64 91893853320467/100000000000000 (fma.f64 (log.f64 x) (-.f64 1/2 x) x))
5.0ms	z	@	0	(/.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000) x)
3.0ms	x	@	-inf	(-.f64 91893853320467/100000000000000 (fma.f64 (log.f64 x) (-.f64 1/2 x) x))
2.0ms	x	@	inf	(-.f64 91893853320467/100000000000000 (fma.f64 (log.f64 x) (-.f64 1/2 x) x))
1.0ms	y	@	-inf	(/.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000) x)

rewrite79.0ms (1.5%)

Algorithm

1×	batch-egg-rewrite

Rules

272×	`prod-diff_binary64`
193×	`add-sqr-sqrt_binary64`
183×	`add-exp-log_binary64`
183×	`add-log-exp_binary64`
182×	`*-un-lft-identity_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 → 109

Calls

Call 1

Inputs
(/.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000) x)
(-.f64 91893853320467/100000000000000 (fma.f64 (log.f64 x) (-.f64 1/2 x) x))
(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 (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)) (cbrt.f64 (pow.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 (cbrt.f64 (pow.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 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 (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 (neg.f64 (fma.f64 z (fma.f64 (+.f64 y 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 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 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7936500793651/10000000000000000) z -13888888888889/5000000000000000))) 6944444444444388888888888889/1000000000000000000000000000000) (-.f64 (.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000)) 83333333333333/1000000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000)) 1))))))

simplify55.0ms (1%)

Algorithm

1×	egg-herbie

Rules

448×	`fma-neg_binary64`
372×	`cancel-sign-sub-inv_binary64`
353×	`sub-neg_binary64`
259×	`fma-def_binary64`
237×	`distribute-rgt-in_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	83	1866
1	260	1816
2	778	1619
3	2501	1180

Stop Event

1×	node limit

Counts

193 → 154

Calls

Call 1

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

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

prune196.0ms (3.7%)

Pruning

11 alts after pruning (11 fresh and 0 done)

	Pruned	Kept	Total
New	143	11	154
Fresh	1	0	1
Picked	1	0	1
Done	0	0	0
Total	145	11	156

Error

0.0b

Counts

156 → 11

Alt Table

Status	Error	Program
	5.1b	(+.f64 (-.f64 91893853320467/100000000000000 (fma.f64 (log.f64 x) (-.f64 1/2 x) x)) (/.f64 (*.f64 (cbrt.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000)) (pow.f64 (cbrt.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000)) 2)) x))
	4.8b	(+.f64 (-.f64 91893853320467/100000000000000 (fma.f64 (log.f64 x) (-.f64 1/2 x) x)) (-.f64 (+.f64 (.f64 7936500793651/10000000000000000 (/.f64 (pow.f64 z 2) x)) (+.f64 (/.f64 (.f64 y (pow.f64 z 2)) x) (.f64 83333333333333/1000000000000000 (/.f64 1 x)))) (.f64 13888888888889/5000000000000000 (/.f64 z x))))
	7.8b	(+.f64 (-.f64 91893853320467/100000000000000 (fma.f64 (log.f64 x) (-.f64 1/2 x) x)) (*.f64 (/.f64 (sqrt.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000)) 1) (/.f64 (sqrt.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000)) x)))
	4.7b	(+.f64 (pow.f64 (sqrt.f64 (-.f64 91893853320467/100000000000000 (fma.f64 (log.f64 x) (-.f64 1/2 x) x))) 2) (/.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000) x))
	5.0b	(+.f64 (pow.f64 (cbrt.f64 (-.f64 91893853320467/100000000000000 (fma.f64 (log.f64 x) (-.f64 1/2 x) x))) 3) (/.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000) x))
	19.7b	(+.f64 (/.f64 1 (/.f64 (+.f64 91893853320467/100000000000000 (fma.f64 (log.f64 x) (-.f64 1/2 x) x)) (-.f64 8444480278083503881401098089/10000000000000000000000000000 (pow.f64 (fma.f64 (log.f64 x) (-.f64 1/2 x) x) 2)))) (/.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000) x))
	19.7b	(+.f64 (*.f64 (-.f64 8444480278083503881401098089/10000000000000000000000000000 (pow.f64 (fma.f64 (log.f64 x) (-.f64 1/2 x) x) 2)) (/.f64 1 (+.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))
	23.4b	(+.f64 (-.f64 91893853320467/100000000000000 (fma.f64 (log.f64 x) (-.f64 1/2 x) x)) (neg.f64 (/.f64 z (/.f64 x (+.f64 13888888888889/5000000000000000 (*.f64 z (-.f64 -7936500793651/10000000000000000 y)))))))
	8.0b	(+.f64 (-.f64 91893853320467/100000000000000 (fma.f64 (log.f64 x) (-.f64 1/2 x) x)) (/.f64 (pow.f64 (sqrt.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000)) 2) x))
	23.8b	(+.f64 (-.f64 91893853320467/100000000000000 (fma.f64 (log.f64 x) (-.f64 1/2 x) x)) (.f64 z (.f64 z (/.f64 (+.f64 7936500793651/10000000000000000 y) x))))
▶	4.5b	(+.f64 (-.f64 91893853320467/100000000000000 (+.f64 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))

Compiler

Compiled 4798 to 3203 computations (33.2% saved)

localize13.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(+.f64 x (*.f64 (log.f64 x) (-.f64 1/2 x)))
✓	0.1b	(*.f64 (log.f64 x) (-.f64 1/2 x))
✓	0.2b	(-.f64 91893853320467/100000000000000 (+.f64 x (*.f64 (log.f64 x) (-.f64 1/2 x))))
	4.2b	(/.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000) x)

series4.0ms (0.1%)

Counts

3 → 36

Calls

9 calls:

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

rewrite70.0ms (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

955×	`prod-diff_binary64`
196×	`log1p-udef_binary64`
111×	`add-sqr-sqrt_binary64`
106×	`*-un-lft-identity_binary64`
106×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	36
1	212	32
2	2985	32

Stop Event

1×	node limit

Counts

3 → 139

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 91893853320467/100000000000000 (neg.f64 (fma.f64 (log.f64 x) (-.f64 1/2 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 91893853320467/100000000000000 (.f64 (neg.f64 (fma.f64 (log.f64 x) (-.f64 1/2 x) x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (fma.f64 (log.f64 x) (-.f64 1/2 x) x)) 91893853320467/100000000000000)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 91893853320467/100000000000000 x) (neg.f64 (.f64 (log.f64 x) (-.f64 1/2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 91893853320467/100000000000000 x) (.f64 (neg.f64 (log.f64 x)) (-.f64 1/2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 91893853320467/100000000000000 x) (.f64 (neg.f64 (-.f64 1/2 x)) (log.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 91893853320467/100000000000000 x) (.f64 -1 (.f64 (log.f64 x) (-.f64 1/2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 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Outputs

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

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

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

simplify31.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

786×	`fma-def_binary64`
384×	`associate--r+_binary64`
357×	`associate--l+_binary64`
352×	`fma-neg_binary64`
266×	`associate-+l-_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	52	500
1	171	410
2	555	395
3	1778	359

Stop Event

1×	node limit

Counts

175 → 162

Calls

Call 1

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

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

prune301.0ms (5.7%)

Pruning

12 alts after pruning (11 fresh and 1 done)

	Pruned	Kept	Total
New	209	1	210
Fresh	0	10	10
Picked	0	1	1
Done	0	0	0
Total	209	12	221

Error

0.0b

Counts

221 → 12

Alt Table

Status	Error	Program
✓	4.5b	(+.f64 (-.f64 91893853320467/100000000000000 (+.f64 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))
	4.9b	(+.f64 (-.f64 91893853320467/100000000000000 (+.f64 x (pow.f64 (cbrt.f64 (*.f64 (log.f64 x) (-.f64 1/2 x))) 3))) (/.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000) x))
	5.1b	(+.f64 (-.f64 91893853320467/100000000000000 (fma.f64 (log.f64 x) (-.f64 1/2 x) x)) (/.f64 (*.f64 (cbrt.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000)) (pow.f64 (cbrt.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000)) 2)) x))
	4.8b	(+.f64 (-.f64 91893853320467/100000000000000 (fma.f64 (log.f64 x) (-.f64 1/2 x) x)) (-.f64 (+.f64 (.f64 7936500793651/10000000000000000 (/.f64 (pow.f64 z 2) x)) (+.f64 (/.f64 (.f64 y (pow.f64 z 2)) x) (.f64 83333333333333/1000000000000000 (/.f64 1 x)))) (.f64 13888888888889/5000000000000000 (/.f64 z x))))
	7.8b	(+.f64 (-.f64 91893853320467/100000000000000 (fma.f64 (log.f64 x) (-.f64 1/2 x) x)) (*.f64 (/.f64 (sqrt.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000)) 1) (/.f64 (sqrt.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000)) x)))
▶	4.7b	(+.f64 (pow.f64 (sqrt.f64 (-.f64 91893853320467/100000000000000 (fma.f64 (log.f64 x) (-.f64 1/2 x) x))) 2) (/.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000) x))
	5.0b	(+.f64 (pow.f64 (cbrt.f64 (-.f64 91893853320467/100000000000000 (fma.f64 (log.f64 x) (-.f64 1/2 x) x))) 3) (/.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000) x))
	19.7b	(+.f64 (/.f64 1 (/.f64 (+.f64 91893853320467/100000000000000 (fma.f64 (log.f64 x) (-.f64 1/2 x) x)) (-.f64 8444480278083503881401098089/10000000000000000000000000000 (pow.f64 (fma.f64 (log.f64 x) (-.f64 1/2 x) x) 2)))) (/.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000) x))
	19.7b	(+.f64 (*.f64 (-.f64 8444480278083503881401098089/10000000000000000000000000000 (pow.f64 (fma.f64 (log.f64 x) (-.f64 1/2 x) x) 2)) (/.f64 1 (+.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))
	23.4b	(+.f64 (-.f64 91893853320467/100000000000000 (fma.f64 (log.f64 x) (-.f64 1/2 x) x)) (neg.f64 (/.f64 z (/.f64 x (+.f64 13888888888889/5000000000000000 (*.f64 z (-.f64 -7936500793651/10000000000000000 y)))))))
	8.0b	(+.f64 (-.f64 91893853320467/100000000000000 (fma.f64 (log.f64 x) (-.f64 1/2 x) x)) (/.f64 (pow.f64 (sqrt.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000)) 2) x))
	23.8b	(+.f64 (-.f64 91893853320467/100000000000000 (fma.f64 (log.f64 x) (-.f64 1/2 x) x)) (.f64 z (.f64 z (/.f64 (+.f64 7936500793651/10000000000000000 y) x))))

Compiler

Compiled 7870 to 5199 computations (33.9% saved)

localize17.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(sqrt.f64 (-.f64 91893853320467/100000000000000 (fma.f64 (log.f64 x) (-.f64 1/2 x) x)))
	0.2b	(-.f64 91893853320467/100000000000000 (fma.f64 (log.f64 x) (-.f64 1/2 x) x))
✓	0.5b	(pow.f64 (sqrt.f64 (-.f64 91893853320467/100000000000000 (fma.f64 (log.f64 x) (-.f64 1/2 x) x))) 2)
	4.2b	(/.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000) x)

series130.0ms (2.5%)

Counts

2 → 8

Calls

6 calls:

Time	Variable		Point	Expression
56.0ms	x	@	0	(pow.f64 (sqrt.f64 (-.f64 91893853320467/100000000000000 (fma.f64 (log.f64 x) (-.f64 1/2 x) x))) 2)
49.0ms	x	@	-inf	(pow.f64 (sqrt.f64 (-.f64 91893853320467/100000000000000 (fma.f64 (log.f64 x) (-.f64 1/2 x) x))) 2)
11.0ms	x	@	inf	(pow.f64 (sqrt.f64 (-.f64 91893853320467/100000000000000 (fma.f64 (log.f64 x) (-.f64 1/2 x) x))) 2)
8.0ms	x	@	-inf	(sqrt.f64 (-.f64 91893853320467/100000000000000 (fma.f64 (log.f64 x) (-.f64 1/2 x) x)))
3.0ms	x	@	inf	(sqrt.f64 (-.f64 91893853320467/100000000000000 (fma.f64 (log.f64 x) (-.f64 1/2 x) x)))

rewrite51.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

435×	`log-prod_binary64`
193×	`expm1-udef_binary64`
193×	`log1p-udef_binary64`
170×	`prod-diff_binary64`
153×	`log-pow_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	28
1	246	28
2	2763	28

Stop Event

1×	node limit

Counts

2 → 74

Calls

Call 1

Inputs
(pow.f64 (sqrt.f64 (-.f64 91893853320467/100000000000000 (fma.f64 (log.f64 x) (-.f64 1/2 x) x))) 2)
(sqrt.f64 (-.f64 91893853320467/100000000000000 (fma.f64 (log.f64 x) (-.f64 1/2 x) x)))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 91893853320467/100000000000000 (neg.f64 (fma.f64 (log.f64 x) (-.f64 1/2 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 91893853320467/100000000000000 (*.f64 (neg.f64 (fma.f64 (log.f64 x) (-.f64 1/2 x) x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (fma.f64 (log.f64 x) (-.f64 1/2 x) x)) 91893853320467/100000000000000)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (-.f64 91893853320467/100000000000000 (fma.f64 (log.f64 x) (-.f64 1/2 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (-.f64 91893853320467/100000000000000 (fma.f64 (log.f64 x) (-.f64 1/2 x) x)))) (cbrt.f64 (exp.f64 (-.f64 91893853320467/100000000000000 (fma.f64 (log.f64 x) (-.f64 1/2 x) x)))))) (log.f64 (cbrt.f64 (exp.f64 (-.f64 91893853320467/100000000000000 (fma.f64 (log.f64 x) (-.f64 1/2 x) x))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (-.f64 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((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (sqrt.f64 (-.f64 91893853320467/100000000000000 (fma.f64 (log.f64 x) (-.f64 1/2 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (-.f64 91893853320467/100000000000000 (fma.f64 (log.f64 x) (-.f64 1/2 x) x))))) (cbrt.f64 (exp.f64 (sqrt.f64 (-.f64 91893853320467/100000000000000 (fma.f64 (log.f64 x) (-.f64 1/2 x) x))))))) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (-.f64 91893853320467/100000000000000 (fma.f64 (log.f64 x) (-.f64 1/2 x) x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (-.f64 91893853320467/100000000000000 (fma.f64 (log.f64 x) (-.f64 1/2 x) x)))))) (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (-.f64 91893853320467/100000000000000 (fma.f64 (log.f64 x) (-.f64 1/2 x) x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (sqrt.f64 (-.f64 91893853320467/100000000000000 (fma.f64 (log.f64 x) (-.f64 1/2 x) x))))) 1)))) 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(#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (sqrt.f64 (-.f64 91893853320467/100000000000000 (fma.f64 (log.f64 x) (-.f64 1/2 x) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (-.f64 91893853320467/100000000000000 (fma.f64 (log.f64 x) (-.f64 1/2 x) x))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (-.f64 91893853320467/100000000000000 (fma.f64 (log.f64 x) (-.f64 1/2 x) x)))) 1))))))

simplify43.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

503×	`fma-def_binary64`
471×	`associate-r_binary64`
431×	`associate-l_binary64`
420×	`sub-neg_binary64`
203×	`associate-+l+_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	70	560
1	228	510
2	807	377
3	4500	376

Stop Event

1×	node limit

Counts

82 → 86

Calls

Call 1

Inputs
(-.f64 91893853320467/100000000000000 (*.f64 1/2 (log.f64 x)))
(-.f64 (+.f64 91893853320467/100000000000000 (.f64 (log.f64 x) x)) (+.f64 (.f64 1/2 (log.f64 x)) x))
(-.f64 (+.f64 91893853320467/100000000000000 (.f64 (log.f64 x) x)) (+.f64 (.f64 1/2 (log.f64 x)) x))
(-.f64 (+.f64 91893853320467/100000000000000 (.f64 (log.f64 x) x)) (+.f64 (.f64 1/2 (log.f64 x)) x))
(sqrt.f64 (-.f64 91893853320467/100000000000000 (*.f64 1/2 (log.f64 x))))
(-.f64 (+.f64 (sqrt.f64 (-.f64 91893853320467/100000000000000 (.f64 1/2 (log.f64 x)))) (.f64 1/2 (.f64 (.f64 (log.f64 x) x) (sqrt.f64 (/.f64 1 (-.f64 91893853320467/100000000000000 (.f64 1/2 (log.f64 x)))))))) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (-.f64 91893853320467/100000000000000 (.f64 1/2 (log.f64 x))))) x)))
(-.f64 (+.f64 (.f64 1/4 (.f64 (.f64 (log.f64 x) (pow.f64 x 2)) (sqrt.f64 (/.f64 1 (pow.f64 (-.f64 91893853320467/100000000000000 (.f64 1/2 (log.f64 x))) 3))))) (+.f64 (sqrt.f64 (-.f64 91893853320467/100000000000000 (.f64 1/2 (log.f64 x)))) (.f64 1/2 (.f64 (.f64 (log.f64 x) x) (sqrt.f64 (/.f64 1 (-.f64 91893853320467/100000000000000 (.f64 1/2 (log.f64 x))))))))) (+.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (-.f64 91893853320467/100000000000000 (.f64 1/2 (log.f64 x))))) x)) (+.f64 (.f64 1/8 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 (-.f64 91893853320467/100000000000000 (.f64 1/2 (log.f64 x))) 3))) (pow.f64 x 2))) (.f64 1/8 (.f64 (.f64 (pow.f64 (log.f64 x) 2) (pow.f64 x 2)) (sqrt.f64 (/.f64 1 (pow.f64 (-.f64 91893853320467/100000000000000 (*.f64 1/2 (log.f64 x))) 3))))))))
(-.f64 (+.f64 (.f64 1/4 (.f64 (.f64 (log.f64 x) (pow.f64 x 2)) (sqrt.f64 (/.f64 1 (pow.f64 (-.f64 91893853320467/100000000000000 (.f64 1/2 (log.f64 x))) 3))))) (+.f64 (.f64 1/2 (.f64 (.f64 (log.f64 x) x) (sqrt.f64 (/.f64 1 (-.f64 91893853320467/100000000000000 (.f64 1/2 (log.f64 x))))))) (+.f64 (sqrt.f64 (-.f64 91893853320467/100000000000000 (.f64 1/2 (log.f64 x)))) (+.f64 (.f64 1/16 (.f64 (.f64 (pow.f64 (log.f64 x) 3) (pow.f64 x 3)) (sqrt.f64 (/.f64 1 (pow.f64 (-.f64 91893853320467/100000000000000 (.f64 1/2 (log.f64 x))) 5))))) (.f64 3/16 (.f64 (.f64 (log.f64 x) (pow.f64 x 3)) (sqrt.f64 (/.f64 1 (pow.f64 (-.f64 91893853320467/100000000000000 (.f64 1/2 (log.f64 x))) 5))))))))) (+.f64 (.f64 1/8 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 (-.f64 91893853320467/100000000000000 (.f64 1/2 (log.f64 x))) 3))) (pow.f64 x 2))) (+.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (-.f64 91893853320467/100000000000000 (.f64 1/2 (log.f64 x))))) x)) (+.f64 (.f64 3/16 (.f64 (.f64 (pow.f64 (log.f64 x) 2) (pow.f64 x 3)) (sqrt.f64 (/.f64 1 (pow.f64 (-.f64 91893853320467/100000000000000 (.f64 1/2 (log.f64 x))) 5))))) (+.f64 (.f64 1/16 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 (-.f64 91893853320467/100000000000000 (.f64 1/2 (log.f64 x))) 5))) (pow.f64 x 3))) (.f64 1/8 (.f64 (.f64 (pow.f64 (log.f64 x) 2) (pow.f64 x 2)) (sqrt.f64 (/.f64 1 (pow.f64 (-.f64 91893853320467/100000000000000 (.f64 1/2 (log.f64 x))) 3))))))))))

Outputs
(-.f64 91893853320467/100000000000000 (*.f64 1/2 (log.f64 x)))
(+.f64 91893853320467/100000000000000 (*.f64 -1/2 (log.f64 x)))
(fma.f64 (log.f64 x) -1/2 91893853320467/100000000000000)
(-.f64 (+.f64 91893853320467/100000000000000 (.f64 (log.f64 x) x)) (+.f64 (.f64 1/2 (log.f64 x)) x))
(+.f64 91893853320467/100000000000000 (-.f64 (*.f64 x (log.f64 x)) (fma.f64 1/2 (log.f64 x) x)))
(-.f64 (fma.f64 x (log.f64 x) 91893853320467/100000000000000) (fma.f64 1/2 (log.f64 x) x))
(-.f64 (*.f64 (log.f64 x) (-.f64 x 1/2)) (-.f64 x 91893853320467/100000000000000))
(+.f64 91893853320467/100000000000000 (-.f64 (*.f64 (log.f64 x) (+.f64 x -1/2)) x))
(-.f64 (+.f64 91893853320467/100000000000000 (.f64 (log.f64 x) x)) (+.f64 (.f64 1/2 (log.f64 x)) x))
(+.f64 91893853320467/100000000000000 (-.f64 (*.f64 x (log.f64 x)) (fma.f64 1/2 (log.f64 x) x)))
(-.f64 (fma.f64 x (log.f64 x) 91893853320467/100000000000000) (fma.f64 1/2 (log.f64 x) x))
(-.f64 (*.f64 (log.f64 x) (-.f64 x 1/2)) (-.f64 x 91893853320467/100000000000000))
(+.f64 91893853320467/100000000000000 (-.f64 (*.f64 (log.f64 x) (+.f64 x -1/2)) x))
(-.f64 (+.f64 91893853320467/100000000000000 (.f64 (log.f64 x) x)) (+.f64 (.f64 1/2 (log.f64 x)) x))
(+.f64 91893853320467/100000000000000 (-.f64 (*.f64 x (log.f64 x)) (fma.f64 1/2 (log.f64 x) x)))
(-.f64 (fma.f64 x (log.f64 x) 91893853320467/100000000000000) (fma.f64 1/2 (log.f64 x) x))
(-.f64 (*.f64 (log.f64 x) (-.f64 x 1/2)) (-.f64 x 91893853320467/100000000000000))
(+.f64 91893853320467/100000000000000 (-.f64 (*.f64 (log.f64 x) (+.f64 x -1/2)) x))
(sqrt.f64 (-.f64 91893853320467/100000000000000 (*.f64 1/2 (log.f64 x))))
(sqrt.f64 (+.f64 91893853320467/100000000000000 (*.f64 -1/2 (log.f64 x))))
(sqrt.f64 (fma.f64 (log.f64 x) -1/2 91893853320467/100000000000000))
(-.f64 (+.f64 (sqrt.f64 (-.f64 91893853320467/100000000000000 (.f64 1/2 (log.f64 x)))) (.f64 1/2 (.f64 (.f64 (log.f64 x) x) (sqrt.f64 (/.f64 1 (-.f64 91893853320467/100000000000000 (.f64 1/2 (log.f64 x)))))))) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (-.f64 91893853320467/100000000000000 (.f64 1/2 (log.f64 x))))) x)))
(+.f64 (+.f64 (sqrt.f64 (+.f64 91893853320467/100000000000000 (.f64 -1/2 (log.f64 x)))) (.f64 (.f64 1/2 (.f64 x (log.f64 x))) (sqrt.f64 (/.f64 1 (+.f64 91893853320467/100000000000000 (.f64 -1/2 (log.f64 x))))))) (.f64 -1/2 (.f64 x (sqrt.f64 (/.f64 1 (+.f64 91893853320467/100000000000000 (.f64 -1/2 (log.f64 x))))))))
(+.f64 (sqrt.f64 (-.f64 91893853320467/100000000000000 (.f64 1/2 (log.f64 x)))) (.f64 1/2 (-.f64 (.f64 (log.f64 x) (.f64 x (sqrt.f64 (/.f64 1 (-.f64 91893853320467/100000000000000 (.f64 1/2 (log.f64 x))))))) (.f64 x (sqrt.f64 (/.f64 1 (-.f64 91893853320467/100000000000000 (*.f64 1/2 (log.f64 x)))))))))
(fma.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (fma.f64 (log.f64 x) -1/2 91893853320467/100000000000000))) (-.f64 (.f64 x (log.f64 x)) x)) (sqrt.f64 (fma.f64 (log.f64 x) -1/2 91893853320467/100000000000000)))
(-.f64 (+.f64 (.f64 1/4 (.f64 (.f64 (log.f64 x) (pow.f64 x 2)) (sqrt.f64 (/.f64 1 (pow.f64 (-.f64 91893853320467/100000000000000 (.f64 1/2 (log.f64 x))) 3))))) (+.f64 (sqrt.f64 (-.f64 91893853320467/100000000000000 (.f64 1/2 (log.f64 x)))) (.f64 1/2 (.f64 (.f64 (log.f64 x) x) (sqrt.f64 (/.f64 1 (-.f64 91893853320467/100000000000000 (.f64 1/2 (log.f64 x))))))))) (+.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (-.f64 91893853320467/100000000000000 (.f64 1/2 (log.f64 x))))) x)) (+.f64 (.f64 1/8 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 (-.f64 91893853320467/100000000000000 (.f64 1/2 (log.f64 x))) 3))) (pow.f64 x 2))) (.f64 1/8 (.f64 (.f64 (pow.f64 (log.f64 x) 2) (pow.f64 x 2)) (sqrt.f64 (/.f64 1 (pow.f64 (-.f64 91893853320467/100000000000000 (*.f64 1/2 (log.f64 x))) 3))))))))
(-.f64 (fma.f64 1/4 (.f64 (.f64 (log.f64 x) (.f64 x x)) (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 91893853320467/100000000000000 (.f64 -1/2 (log.f64 x))) 3)))) (+.f64 (sqrt.f64 (+.f64 91893853320467/100000000000000 (.f64 -1/2 (log.f64 x)))) (.f64 (.f64 1/2 (.f64 x (log.f64 x))) (sqrt.f64 (/.f64 1 (+.f64 91893853320467/100000000000000 (.f64 -1/2 (log.f64 x)))))))) (fma.f64 1/2 (.f64 x (sqrt.f64 (/.f64 1 (+.f64 91893853320467/100000000000000 (.f64 -1/2 (log.f64 x)))))) (.f64 1/8 (+.f64 (.f64 (.f64 x x) (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 91893853320467/100000000000000 (.f64 -1/2 (log.f64 x))) 3)))) (.f64 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 91893853320467/100000000000000 (.f64 -1/2 (log.f64 x))) 3))) (.f64 (*.f64 x x) (pow.f64 (log.f64 x) 2)))))))
(-.f64 (fma.f64 1/4 (.f64 (.f64 (log.f64 x) (.f64 x x)) (sqrt.f64 (/.f64 1 (pow.f64 (-.f64 91893853320467/100000000000000 (.f64 1/2 (log.f64 x))) 3)))) (fma.f64 1/2 (.f64 (log.f64 x) (.f64 x (sqrt.f64 (/.f64 1 (-.f64 91893853320467/100000000000000 (.f64 1/2 (log.f64 x))))))) (sqrt.f64 (-.f64 91893853320467/100000000000000 (.f64 1/2 (log.f64 x)))))) (fma.f64 1/8 (.f64 (+.f64 (pow.f64 (log.f64 x) 2) 1) (.f64 (.f64 x x) (sqrt.f64 (/.f64 1 (pow.f64 (-.f64 91893853320467/100000000000000 (.f64 1/2 (log.f64 x))) 3))))) (.f64 1/2 (.f64 x (sqrt.f64 (/.f64 1 (-.f64 91893853320467/100000000000000 (*.f64 1/2 (log.f64 x)))))))))
(+.f64 (fma.f64 (log.f64 x) (.f64 (.f64 x x) (.f64 1/4 (sqrt.f64 (/.f64 1 (pow.f64 (fma.f64 (log.f64 x) -1/2 91893853320467/100000000000000) 3))))) (fma.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (fma.f64 (log.f64 x) -1/2 91893853320467/100000000000000))) (-.f64 (.f64 x (log.f64 x)) x)) (sqrt.f64 (fma.f64 (log.f64 x) -1/2 91893853320467/100000000000000)))) (.f64 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 (fma.f64 (log.f64 x) -1/2 91893853320467/100000000000000) 3))) (.f64 (+.f64 1 (pow.f64 (log.f64 x) 2)) (*.f64 x x))) -1/8))
(-.f64 (+.f64 (.f64 1/4 (.f64 (.f64 (log.f64 x) (pow.f64 x 2)) (sqrt.f64 (/.f64 1 (pow.f64 (-.f64 91893853320467/100000000000000 (.f64 1/2 (log.f64 x))) 3))))) (+.f64 (.f64 1/2 (.f64 (.f64 (log.f64 x) x) (sqrt.f64 (/.f64 1 (-.f64 91893853320467/100000000000000 (.f64 1/2 (log.f64 x))))))) (+.f64 (sqrt.f64 (-.f64 91893853320467/100000000000000 (.f64 1/2 (log.f64 x)))) (+.f64 (.f64 1/16 (.f64 (.f64 (pow.f64 (log.f64 x) 3) (pow.f64 x 3)) (sqrt.f64 (/.f64 1 (pow.f64 (-.f64 91893853320467/100000000000000 (.f64 1/2 (log.f64 x))) 5))))) (.f64 3/16 (.f64 (.f64 (log.f64 x) (pow.f64 x 3)) (sqrt.f64 (/.f64 1 (pow.f64 (-.f64 91893853320467/100000000000000 (.f64 1/2 (log.f64 x))) 5))))))))) (+.f64 (.f64 1/8 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 (-.f64 91893853320467/100000000000000 (.f64 1/2 (log.f64 x))) 3))) (pow.f64 x 2))) (+.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (-.f64 91893853320467/100000000000000 (.f64 1/2 (log.f64 x))))) x)) (+.f64 (.f64 3/16 (.f64 (.f64 (pow.f64 (log.f64 x) 2) (pow.f64 x 3)) (sqrt.f64 (/.f64 1 (pow.f64 (-.f64 91893853320467/100000000000000 (.f64 1/2 (log.f64 x))) 5))))) (+.f64 (.f64 1/16 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 (-.f64 91893853320467/100000000000000 (.f64 1/2 (log.f64 x))) 5))) (pow.f64 x 3))) (.f64 1/8 (.f64 (.f64 (pow.f64 (log.f64 x) 2) (pow.f64 x 2)) (sqrt.f64 (/.f64 1 (pow.f64 (-.f64 91893853320467/100000000000000 (.f64 1/2 (log.f64 x))) 3))))))))))
(-.f64 (fma.f64 1/4 (.f64 (.f64 (log.f64 x) (.f64 x x)) (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 91893853320467/100000000000000 (.f64 -1/2 (log.f64 x))) 3)))) (fma.f64 1/2 (.f64 (log.f64 x) (.f64 x (sqrt.f64 (/.f64 1 (+.f64 91893853320467/100000000000000 (.f64 -1/2 (log.f64 x))))))) (+.f64 (sqrt.f64 (+.f64 91893853320467/100000000000000 (.f64 -1/2 (log.f64 x)))) (fma.f64 1/16 (.f64 (pow.f64 (log.f64 x) 3) (.f64 (pow.f64 x 3) (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 91893853320467/100000000000000 (.f64 -1/2 (log.f64 x))) 5))))) (.f64 (.f64 3/16 (.f64 (log.f64 x) (pow.f64 x 3))) (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 91893853320467/100000000000000 (.f64 -1/2 (log.f64 x))) 5)))))))) (fma.f64 1/8 (.f64 (.f64 x x) (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 91893853320467/100000000000000 (.f64 -1/2 (log.f64 x))) 3)))) (fma.f64 1/2 (.f64 x (sqrt.f64 (/.f64 1 (+.f64 91893853320467/100000000000000 (.f64 -1/2 (log.f64 x)))))) (fma.f64 3/16 (.f64 (pow.f64 (log.f64 x) 2) (.f64 (pow.f64 x 3) (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 91893853320467/100000000000000 (.f64 -1/2 (log.f64 x))) 5))))) (fma.f64 1/16 (.f64 (pow.f64 x 3) (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 91893853320467/100000000000000 (.f64 -1/2 (log.f64 x))) 5)))) (.f64 1/8 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 (+.f64 91893853320467/100000000000000 (.f64 -1/2 (log.f64 x))) 3))) (.f64 (.f64 x x) (pow.f64 (log.f64 x) 2)))))))))
(-.f64 (+.f64 (fma.f64 1/4 (.f64 (.f64 (log.f64 x) (.f64 x x)) (sqrt.f64 (/.f64 1 (pow.f64 (-.f64 91893853320467/100000000000000 (.f64 1/2 (log.f64 x))) 3)))) (fma.f64 1/2 (.f64 (log.f64 x) (.f64 x (sqrt.f64 (/.f64 1 (-.f64 91893853320467/100000000000000 (.f64 1/2 (log.f64 x))))))) (sqrt.f64 (-.f64 91893853320467/100000000000000 (.f64 1/2 (log.f64 x)))))) (.f64 (sqrt.f64 (/.f64 1 (pow.f64 (-.f64 91893853320467/100000000000000 (.f64 1/2 (log.f64 x))) 5))) (+.f64 (.f64 1/16 (.f64 (pow.f64 (log.f64 x) 3) (pow.f64 x 3))) (.f64 (.f64 3/16 (log.f64 x)) (pow.f64 x 3))))) (fma.f64 1/8 (.f64 (.f64 x x) (sqrt.f64 (/.f64 1 (pow.f64 (-.f64 91893853320467/100000000000000 (.f64 1/2 (log.f64 x))) 3)))) (fma.f64 1/2 (.f64 x (sqrt.f64 (/.f64 1 (-.f64 91893853320467/100000000000000 (.f64 1/2 (log.f64 x)))))) (fma.f64 3/16 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 (-.f64 91893853320467/100000000000000 (.f64 1/2 (log.f64 x))) 5))) (.f64 (pow.f64 (log.f64 x) 2) (pow.f64 x 3))) (fma.f64 1/8 (.f64 (.f64 x x) (.f64 (pow.f64 (log.f64 x) 2) (sqrt.f64 (/.f64 1 (pow.f64 (-.f64 91893853320467/100000000000000 (.f64 1/2 (log.f64 x))) 3))))) (.f64 (pow.f64 x 3) (.f64 1/16 (sqrt.f64 (/.f64 1 (pow.f64 (-.f64 91893853320467/100000000000000 (*.f64 1/2 (log.f64 x))) 5))))))))))
(+.f64 (fma.f64 (log.f64 x) (.f64 (.f64 x x) (.f64 1/4 (sqrt.f64 (/.f64 1 (pow.f64 (fma.f64 (log.f64 x) -1/2 91893853320467/100000000000000) 3))))) (fma.f64 (sqrt.f64 (/.f64 1 (pow.f64 (fma.f64 (log.f64 x) -1/2 91893853320467/100000000000000) 5))) (.f64 (pow.f64 x 3) (+.f64 (.f64 (log.f64 x) 3/16) (.f64 1/16 (pow.f64 (log.f64 x) 3)))) (sqrt.f64 (fma.f64 (log.f64 x) -1/2 91893853320467/100000000000000)))) (-.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (fma.f64 (log.f64 x) -1/2 91893853320467/100000000000000))) (-.f64 (.f64 x (log.f64 x)) x))) (+.f64 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 (fma.f64 (log.f64 x) -1/2 91893853320467/100000000000000) 3))) (.f64 (.f64 (+.f64 1 (pow.f64 (log.f64 x) 2)) (.f64 x x)) 1/8)) (.f64 (.f64 (pow.f64 x 3) (sqrt.f64 (/.f64 1 (pow.f64 (fma.f64 (log.f64 x) -1/2 91893853320467/100000000000000) 5)))) (+.f64 (.f64 (pow.f64 (log.f64 x) 2) 3/16) 1/16)))))
(+.f64 (fma.f64 (log.f64 x) (.f64 (.f64 x x) (.f64 1/4 (sqrt.f64 (/.f64 1 (pow.f64 (fma.f64 (log.f64 x) -1/2 91893853320467/100000000000000) 3))))) (fma.f64 (sqrt.f64 (/.f64 1 (pow.f64 (fma.f64 (log.f64 x) -1/2 91893853320467/100000000000000) 5))) (.f64 (pow.f64 x 3) (+.f64 (.f64 (log.f64 x) 3/16) (.f64 1/16 (pow.f64 (log.f64 x) 3)))) (sqrt.f64 (fma.f64 (log.f64 x) -1/2 91893853320467/100000000000000)))) (-.f64 (.f64 (.f64 x (sqrt.f64 (/.f64 1 (fma.f64 (log.f64 x) -1/2 91893853320467/100000000000000)))) (+.f64 (log.f64 (sqrt.f64 x)) -1/2)) (+.f64 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 (fma.f64 (log.f64 x) -1/2 91893853320467/100000000000000) 3))) (.f64 (.f64 (+.f64 1 (pow.f64 (log.f64 x) 2)) (.f64 x x)) 1/8)) (.f64 (.f64 (pow.f64 x 3) (sqrt.f64 (/.f64 1 (pow.f64 (fma.f64 (log.f64 x) -1/2 91893853320467/100000000000000) 5)))) (+.f64 (*.f64 (pow.f64 (log.f64 x) 2) 3/16) 1/16)))))

prune259.0ms (4.9%)

Pruning

12 alts after pruning (10 fresh and 2 done)

	Pruned	Kept	Total
New	173	1	174
Fresh	1	9	10
Picked	0	1	1
Done	0	1	1
Total	174	12	186

Error

0.0b

Counts

186 → 12

Alt Table

Status	Error	Program
	4.8b	(+.f64 (.f64 (.f64 (sqrt.f64 (-.f64 91893853320467/100000000000000 (fma.f64 (log.f64 x) (-.f64 1/2 x) x))) (cbrt.f64 (-.f64 91893853320467/100000000000000 (fma.f64 (log.f64 x) (-.f64 1/2 x) x)))) (cbrt.f64 (sqrt.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))
	23.8b	(+.f64 (-.f64 91893853320467/100000000000000 (fma.f64 (log.f64 x) (-.f64 1/2 x) x)) (.f64 z (.f64 z (/.f64 (+.f64 7936500793651/10000000000000000 y) x))))
	5.1b	(+.f64 (-.f64 91893853320467/100000000000000 (fma.f64 (log.f64 x) (-.f64 1/2 x) x)) (/.f64 (*.f64 (cbrt.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000)) (pow.f64 (cbrt.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000)) 2)) x))
▶	4.8b	(+.f64 (-.f64 91893853320467/100000000000000 (fma.f64 (log.f64 x) (-.f64 1/2 x) x)) (-.f64 (+.f64 (.f64 7936500793651/10000000000000000 (/.f64 (pow.f64 z 2) x)) (+.f64 (/.f64 (.f64 y (pow.f64 z 2)) x) (.f64 83333333333333/1000000000000000 (/.f64 1 x)))) (.f64 13888888888889/5000000000000000 (/.f64 z x))))
	7.8b	(+.f64 (-.f64 91893853320467/100000000000000 (fma.f64 (log.f64 x) (-.f64 1/2 x) x)) (*.f64 (/.f64 (sqrt.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000)) 1) (/.f64 (sqrt.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000)) x)))
✓	4.7b	(+.f64 (pow.f64 (sqrt.f64 (-.f64 91893853320467/100000000000000 (fma.f64 (log.f64 x) (-.f64 1/2 x) x))) 2) (/.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000) x))
	5.0b	(+.f64 (pow.f64 (cbrt.f64 (-.f64 91893853320467/100000000000000 (fma.f64 (log.f64 x) (-.f64 1/2 x) x))) 3) (/.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000) x))
	19.7b	(+.f64 (/.f64 1 (/.f64 (+.f64 91893853320467/100000000000000 (fma.f64 (log.f64 x) (-.f64 1/2 x) x)) (-.f64 8444480278083503881401098089/10000000000000000000000000000 (pow.f64 (fma.f64 (log.f64 x) (-.f64 1/2 x) x) 2)))) (/.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000) x))
	19.7b	(+.f64 (*.f64 (-.f64 8444480278083503881401098089/10000000000000000000000000000 (pow.f64 (fma.f64 (log.f64 x) (-.f64 1/2 x) x) 2)) (/.f64 1 (+.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))
	23.4b	(+.f64 (-.f64 91893853320467/100000000000000 (fma.f64 (log.f64 x) (-.f64 1/2 x) x)) (neg.f64 (/.f64 z (/.f64 x (+.f64 13888888888889/5000000000000000 (*.f64 z (-.f64 -7936500793651/10000000000000000 y)))))))
	8.0b	(+.f64 (-.f64 91893853320467/100000000000000 (fma.f64 (log.f64 x) (-.f64 1/2 x) x)) (/.f64 (pow.f64 (sqrt.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000)) 2) x))
✓	4.5b	(+.f64 (-.f64 91893853320467/100000000000000 (+.f64 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))

Compiler

Compiled 6559 to 4502 computations (31.4% saved)

localize23.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.4b	(*.f64 7936500793651/10000000000000000 (/.f64 (pow.f64 z 2) x))
✓	7.1b	(/.f64 (*.f64 y (pow.f64 z 2)) x)
✓	7.5b	(*.f64 y (pow.f64 z 2))
✓	10.0b	(/.f64 (pow.f64 z 2) x)

series13.0ms (0.2%)

Counts

4 → 0

Calls

27 calls:

Time	Variable		Point	Expression
1.0ms	z	@	0	(/.f64 (pow.f64 z 2) x)
1.0ms	z	@	inf	(/.f64 (pow.f64 z 2) x)
1.0ms	x	@	0	(/.f64 (pow.f64 z 2) x)
1.0ms	x	@	0	(/.f64 (*.f64 y (pow.f64 z 2)) x)
1.0ms	y	@	0	(*.f64 y (pow.f64 z 2))

rewrite72.0ms (1.4%)

Algorithm

1×	batch-egg-rewrite

Rules

584×	`log-prod_binary64`
201×	`expm1-udef_binary64`
201×	`log1p-udef_binary64`
169×	`log-pow_binary64`
126×	`log-div_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	34
1	235	34
2	2937	34

Stop Event

1×	node limit

Counts

4 → 124

Calls

Call 1

Inputs
(/.f64 (pow.f64 z 2) x)
(*.f64 y (pow.f64 z 2))
(/.f64 (*.f64 y (pow.f64 z 2)) x)
(*.f64 7936500793651/10000000000000000 (/.f64 (pow.f64 z 2) x))

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

simplify12.0ms (0.2%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	0	0

Stop Event

1×

saturated

Counts

124 → 124

Calls

Call 1

Inputs

Outputs

prune231.0ms (4.4%)

Pruning

12 alts after pruning (9 fresh and 3 done)

	Pruned	Kept	Total
New	124	0	124
Fresh	0	9	9
Picked	0	1	1
Done	0	2	2
Total	124	12	136

Error

0.0b

Counts

136 → 12

Alt Table

Status	Error	Program
	4.8b	(+.f64 (.f64 (.f64 (sqrt.f64 (-.f64 91893853320467/100000000000000 (fma.f64 (log.f64 x) (-.f64 1/2 x) x))) (cbrt.f64 (-.f64 91893853320467/100000000000000 (fma.f64 (log.f64 x) (-.f64 1/2 x) x)))) (cbrt.f64 (sqrt.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))
	23.8b	(+.f64 (-.f64 91893853320467/100000000000000 (fma.f64 (log.f64 x) (-.f64 1/2 x) x)) (.f64 z (.f64 z (/.f64 (+.f64 7936500793651/10000000000000000 y) x))))
	5.1b	(+.f64 (-.f64 91893853320467/100000000000000 (fma.f64 (log.f64 x) (-.f64 1/2 x) x)) (/.f64 (*.f64 (cbrt.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000)) (pow.f64 (cbrt.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000)) 2)) x))
✓	4.8b	(+.f64 (-.f64 91893853320467/100000000000000 (fma.f64 (log.f64 x) (-.f64 1/2 x) x)) (-.f64 (+.f64 (.f64 7936500793651/10000000000000000 (/.f64 (pow.f64 z 2) x)) (+.f64 (/.f64 (.f64 y (pow.f64 z 2)) x) (.f64 83333333333333/1000000000000000 (/.f64 1 x)))) (.f64 13888888888889/5000000000000000 (/.f64 z x))))
	7.8b	(+.f64 (-.f64 91893853320467/100000000000000 (fma.f64 (log.f64 x) (-.f64 1/2 x) x)) (*.f64 (/.f64 (sqrt.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000)) 1) (/.f64 (sqrt.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000)) x)))
✓	4.7b	(+.f64 (pow.f64 (sqrt.f64 (-.f64 91893853320467/100000000000000 (fma.f64 (log.f64 x) (-.f64 1/2 x) x))) 2) (/.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000) x))
	5.0b	(+.f64 (pow.f64 (cbrt.f64 (-.f64 91893853320467/100000000000000 (fma.f64 (log.f64 x) (-.f64 1/2 x) x))) 3) (/.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000) x))
	19.7b	(+.f64 (/.f64 1 (/.f64 (+.f64 91893853320467/100000000000000 (fma.f64 (log.f64 x) (-.f64 1/2 x) x)) (-.f64 8444480278083503881401098089/10000000000000000000000000000 (pow.f64 (fma.f64 (log.f64 x) (-.f64 1/2 x) x) 2)))) (/.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000) x))
	19.7b	(+.f64 (*.f64 (-.f64 8444480278083503881401098089/10000000000000000000000000000 (pow.f64 (fma.f64 (log.f64 x) (-.f64 1/2 x) x) 2)) (/.f64 1 (+.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))
	23.4b	(+.f64 (-.f64 91893853320467/100000000000000 (fma.f64 (log.f64 x) (-.f64 1/2 x) x)) (neg.f64 (/.f64 z (/.f64 x (+.f64 13888888888889/5000000000000000 (*.f64 z (-.f64 -7936500793651/10000000000000000 y)))))))
	8.0b	(+.f64 (-.f64 91893853320467/100000000000000 (fma.f64 (log.f64 x) (-.f64 1/2 x) x)) (/.f64 (pow.f64 (sqrt.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000)) 2) x))
✓	4.5b	(+.f64 (-.f64 91893853320467/100000000000000 (+.f64 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))

Compiler

Compiled 5582 to 3282 computations (41.2% saved)

regimes789.0ms (15.1%)

Accuracy

Total 0.8b remaining (92.1%)

Threshold costs 0.8b (92.1%)

Counts

114 → 3

Compiler

Compiled 2911 to 1913 computations (34.3% saved)

bsearch97.0ms (1.8%)

Algorithm

2×	binary-search

Calls

2 calls:

55.0ms	z
41.0ms	z

Steps

Iters	Point		Range
3.05e+66	∈ [	2.493493136802054e+66	,	1.3451148719074911e+67	]
-6e+15	∈ [	-1.2121268679423995e+29	,	-526581123.0204351	]

Compiler

Compiled 4 to 3 computations (25% saved)

simplify8.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

22×	`+-commutative_binary64`
17×	`sub-neg_binary64`
15×	`*-commutative_binary64`
13×	`neg-sub0_binary64`
13×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	44	103
1	71	103
2	93	103
3	116	103
4	133	103
5	151	103
6	168	103
7	171	103
8	176	103
9	185	103
10	189	103

Stop Event

1×

saturated

Calls

Call 1

Inputs

(if (<=.f64 z -6000000000000000) (+.f64 (-.f64 91893853320467/100000000000000 (fma.f64 (log.f64 x) (-.f64 1/2 x) x)) (neg.f64 (/.f64 z (/.f64 x (+.f64 13888888888889/5000000000000000 (*.f64 z (-.f64 -7936500793651/10000000000000000 y))))))) (if (<=.f64 z 3050000000000000104487822186770289252018326990706934618371896901632) (+.f64 (-.f64 91893853320467/100000000000000 (fma.f64 (-.f64 1/2 x) (log.f64 x) x)) (/.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000) x)) (+.f64 (-.f64 91893853320467/100000000000000 (+.f64 x (*.f64 (log.f64 x) (-.f64 1/2 x)))) (*.f64 z (*.f64 z (/.f64 (+.f64 7936500793651/10000000000000000 y) x))))))

Outputs

(if (<=.f64 z -6000000000000000) (+.f64 (-.f64 91893853320467/100000000000000 (fma.f64 (log.f64 x) (-.f64 1/2 x) x)) (neg.f64 (/.f64 z (/.f64 x (+.f64 13888888888889/5000000000000000 (*.f64 z (-.f64 -7936500793651/10000000000000000 y))))))) (if (<=.f64 z 3050000000000000104487822186770289252018326990706934618371896901632) (+.f64 (-.f64 91893853320467/100000000000000 (fma.f64 (-.f64 1/2 x) (log.f64 x) x)) (/.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000) x)) (+.f64 (-.f64 91893853320467/100000000000000 (+.f64 x (*.f64 (log.f64 x) (-.f64 1/2 x)))) (*.f64 z (*.f64 z (/.f64 (+.f64 7936500793651/10000000000000000 y) x))))))

(if (<=.f64 z -6000000000000000) (-.f64 (-.f64 91893853320467/100000000000000 (fma.f64 (log.f64 x) (-.f64 1/2 x) x)) (/.f64 z (/.f64 x (+.f64 13888888888889/5000000000000000 (*.f64 z (-.f64 -7936500793651/10000000000000000 y)))))) (if (<=.f64 z 3050000000000000104487822186770289252018326990706934618371896901632) (+.f64 (-.f64 91893853320467/100000000000000 (fma.f64 (-.f64 1/2 x) (log.f64 x) x)) (/.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000) x)) (+.f64 (-.f64 91893853320467/100000000000000 (+.f64 x (*.f64 (log.f64 x) (-.f64 1/2 x)))) (*.f64 z (*.f64 z (/.f64 (+.f64 y 7936500793651/10000000000000000) x))))))

end260.0ms (5%)

Stop Event

1×

fuel

Compiler

Compiled 539 to 379 computations (29.7% saved)

Iter	Nodes	Cost
0	44	103
1	71	103
2	93	103
3	116	103
4	133	103
5	151	103
6	168	103
7	171	103
8	176	103
9	185	103
10	189	103

Iter	Nodes	Cost
0	44	103
1	71	103
2	93	103
3	116	103
4	133	103
5	151	103
6	168	103
7	171	103
8	176	103
9	185	103
10	189	103

Details

analyze642.0ms (12.2%)

sample1.7s (32.6%)

preprocess55.0ms (1.1%)

simplify38.0ms (0.7%)

prune4.0ms (0.1%)

localize13.0ms (0.3%)

series26.0ms (0.5%)

rewrite79.0ms (1.5%)

simplify55.0ms (1%)

prune196.0ms (3.7%)

localize13.0ms (0.3%)

series4.0ms (0.1%)

rewrite70.0ms (1.3%)

simplify31.0ms (0.6%)

prune301.0ms (5.7%)

localize17.0ms (0.3%)

series130.0ms (2.5%)

rewrite51.0ms (1%)

simplify43.0ms (0.8%)

prune259.0ms (4.9%)

localize23.0ms (0.4%)

series13.0ms (0.2%)

rewrite72.0ms (1.4%)

simplify12.0ms (0.2%)

prune231.0ms (4.4%)

regimes789.0ms (15.1%)

bsearch97.0ms (1.8%)

simplify8.0ms (0.1%)

end260.0ms (5%)

Profiling

Iter	Nodes	Cost
0	44	103
1	71	103
2	93	103
3	116	103
4	133	103
5	151	103
6	168	103
7	171	103
8	176	103
9	185	103
10	189	103