Details

analyze705.0ms (14.3%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
0%	99.9%	0.1%	3
0%	99.9%	0.1%	4
0%	74.9%	25.1%	5
0%	74.9%	25.1%	6
0%	74.9%	25.1%	7
6.2%	56.2%	37.6%	8
7.8%	53%	39.2%	9
9.4%	47.2%	43.4%	10
15.2%	34.5%	50.3%	11
17.6%	31.1%	51.3%	12
19.6%	26.7%	53.7%	13
23.5%	19%	57.5%	14

Compiler

Compiled 28 to 21 computations (25% saved)

sample1.9s (39%)

Results

1.6s	8256×	body	128	valid
327.0ms	2040×	body	128	invalid

preprocess39.0ms (0.8%)

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)

simplify31.0ms (0.6%)

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))

prune5.0ms (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

6.2b

Counts

3 → 2

Alt Table

Status	Error	Program
	6.3b	(+.f64 (+.f64 (-.f64 (.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (/.f64 (+.f64 (.f64 (-.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000) x))
▶	6.3b	(+.f64 (-.f64 91893853320467/100000000000000 (fma.f64 (log.f64 x) (-.f64 1/2 x) x)) (/.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000) x))

Status

Error

Program

6.3b

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

▶

6.3b

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

Compiler

Compiled 150 to 107 computations (28.7% saved)

localize15.0ms (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	(-.f64 91893853320467/100000000000000 (fma.f64 (log.f64 x) (-.f64 1/2 x) x))
✓	0.2b	(fma.f64 (log.f64 x) (-.f64 1/2 x) x)
✓	5.9b	(/.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000) x)

series23.0ms (0.5%)

Counts

4 → 84

Calls

21 calls:

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

rewrite76.0ms (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)
(fma.f64 (log.f64 x) (-.f64 1/2 x) x)
(-.f64 91893853320467/100000000000000 (fma.f64 (log.f64 x) (-.f64 1/2 x) x))
(fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000)

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

simplify51.0ms (1%)

Algorithm

1×	egg-herbie

Rules

873×	`fma-def_binary64`
234×	`distribute-rgt-in_binary64`
210×	`associate-+l+_binary64`
191×	`distribute-lft-in_binary64`
184×	`fma-neg_binary64`

Iterations

Useful iterations: 3 (0.0ms)

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

Stop Event

1×	node limit

Counts

193 → 158

Calls

Call 1

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

prune349.0ms (7.1%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	150	8	158
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	151	9	160

Error

0.1b

Counts

160 → 9

Alt Table

Status	Error	Program
	6.4b	(+.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))
	10.3b	(+.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)))
	6.3b	(+.f64 (-.f64 91893853320467/100000000000000 (fma.f64 (log.f64 x) (-.f64 1/2 x) x)) (*.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000) (/.f64 1 x)))
▶	0.3b	(+.f64 (-.f64 91893853320467/100000000000000 (fma.f64 (log.f64 x) (-.f64 1/2 x) x)) (fma.f64 (+.f64 y 7936500793651/10000000000000000) (*.f64 (/.f64 z x) z) (fma.f64 -13888888888889/5000000000000000 (/.f64 z x) (/.f64 83333333333333/1000000000000000 x))))
	6.3b	(+.f64 (+.f64 (-.f64 (.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (/.f64 (+.f64 (.f64 (-.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000) x))
	10.3b	(+.f64 (-.f64 91893853320467/100000000000000 (fma.f64 (log.f64 x) (-.f64 1/2 x) 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))))
	19.7b	(+.f64 (-.f64 91893853320467/100000000000000 (fma.f64 (log.f64 x) (-.f64 1/2 x) x)) (.f64 (/.f64 z x) (.f64 z (+.f64 y 7936500793651/10000000000000000))))
	10.0b	(+.f64 (-.f64 91893853320467/100000000000000 (fma.f64 (log.f64 x) (-.f64 1/2 x) x)) (+.f64 (.f64 83333333333333/1000000000000000 (/.f64 1 x)) (+.f64 (.f64 -13888888888889/5000000000000000 (/.f64 z x)) (.f64 (+.f64 (/.f64 y x) (.f64 7936500793651/10000000000000000 (/.f64 1 x))) (pow.f64 z 2)))))
	24.1b	(+.f64 (-.f64 91893853320467/100000000000000 (*.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)))) (/.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000) x))

Compiler

Compiled 4777 to 3180 computations (33.4% saved)

localize19.0ms (0.4%)

Local error

Found 4 expressions with local error:

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

series15.0ms (0.3%)

Counts

3 → 60

Calls

18 calls:

Time	Variable		Point	Expression
5.0ms	z	@	0	(*.f64 (/.f64 z x) z)
1.0ms	x	@	0	(fma.f64 (+.f64 y 7936500793651/10000000000000000) (*.f64 (/.f64 z x) z) (fma.f64 -13888888888889/5000000000000000 (/.f64 z x) (/.f64 83333333333333/1000000000000000 x)))
1.0ms	y	@	0	(fma.f64 (+.f64 y 7936500793651/10000000000000000) (*.f64 (/.f64 z x) z) (fma.f64 -13888888888889/5000000000000000 (/.f64 z x) (/.f64 83333333333333/1000000000000000 x)))
1.0ms	x	@	-inf	(fma.f64 (+.f64 y 7936500793651/10000000000000000) (*.f64 (/.f64 z x) z) (fma.f64 -13888888888889/5000000000000000 (/.f64 z x) (/.f64 83333333333333/1000000000000000 x)))
1.0ms	x	@	inf	(fma.f64 (+.f64 y 7936500793651/10000000000000000) (*.f64 (/.f64 z x) z) (fma.f64 -13888888888889/5000000000000000 (/.f64 z x) (/.f64 83333333333333/1000000000000000 x)))

rewrite104.0ms (2.1%)

Algorithm

1×	batch-egg-rewrite

Rules

257×	`prod-diff_binary64`
254×	`expm1-udef_binary64`
254×	`log1p-udef_binary64`
143×	`add-sqr-sqrt_binary64`
135×	`*-un-lft-identity_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	35
1	285	35
2	3581	35

Stop Event

1×	node limit

Counts

3 → 70

Calls

Call 1

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

Inputs

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

(/.f64 83333333333333/1000000000000000 x)

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

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

Outputs

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

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

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

simplify47.0ms (1%)

Algorithm

1×	egg-herbie

Rules

893×	`fma-neg_binary64`
634×	`fma-def_binary64`
214×	`associate-l_binary64`
197×	`distribute-rgt-out_binary64`
170×	`distribute-rgt-neg-in_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	44	1071
1	116	1037
2	312	923
3	867	860
4	3052	860

Stop Event

1×	node limit

Counts

130 → 89

Calls

Call 1

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

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

prune272.0ms (5.5%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	116	3	119
Fresh	2	6	8
Picked	1	0	1
Done	0	0	0
Total	119	9	128

Error

0.0b

Counts

128 → 9

Alt Table

Status	Error	Program
	6.4b	(+.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))
	10.3b	(+.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)))
	0.8b	(+.f64 (-.f64 91893853320467/100000000000000 (pow.f64 (cbrt.f64 (fma.f64 (log.f64 x) (-.f64 1/2 x) x)) 3)) (fma.f64 (+.f64 y 7936500793651/10000000000000000) (*.f64 (/.f64 z x) z) (fma.f64 -13888888888889/5000000000000000 (/.f64 z x) (/.f64 83333333333333/1000000000000000 x))))
▶	0.2b	(+.f64 (-.f64 91893853320467/100000000000000 (fma.f64 (log.f64 x) (-.f64 1/2 x) x)) (fma.f64 (+.f64 y 7936500793651/10000000000000000) (.f64 (/.f64 z x) z) (fma.f64 -13888888888889/5000000000000000 (/.f64 z x) (pow.f64 (.f64 x 1000000000000000/83333333333333) -1))))
	10.3b	(+.f64 (-.f64 91893853320467/100000000000000 (fma.f64 (log.f64 x) (-.f64 1/2 x) 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))))
	19.7b	(+.f64 (-.f64 91893853320467/100000000000000 (fma.f64 (log.f64 x) (-.f64 1/2 x) x)) (.f64 (/.f64 z x) (.f64 z (+.f64 y 7936500793651/10000000000000000))))
	10.0b	(+.f64 (-.f64 91893853320467/100000000000000 (fma.f64 (log.f64 x) (-.f64 1/2 x) x)) (+.f64 (.f64 83333333333333/1000000000000000 (/.f64 1 x)) (+.f64 (.f64 -13888888888889/5000000000000000 (/.f64 z x)) (.f64 (+.f64 (/.f64 y x) (.f64 7936500793651/10000000000000000 (/.f64 1 x))) (pow.f64 z 2)))))
	0.3b	(+.f64 (-.f64 91893853320467/100000000000000 (+.f64 x (.f64 (log.f64 x) (-.f64 1/2 x)))) (fma.f64 (+.f64 y 7936500793651/10000000000000000) (.f64 (/.f64 z x) z) (fma.f64 -13888888888889/5000000000000000 (/.f64 z x) (/.f64 83333333333333/1000000000000000 x))))
	24.1b	(+.f64 (-.f64 91893853320467/100000000000000 (*.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)))) (/.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000) x))

Compiler

Compiled 4267 to 2403 computations (43.7% saved)

localize18.0ms (0.4%)

Local error

Found 4 expressions with local error:

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

series6.0ms (0.1%)

Counts

2 → 48

Calls

12 calls:

Time	Variable		Point	Expression
1.0ms	y	@	0	(fma.f64 (+.f64 y 7936500793651/10000000000000000) (.f64 (/.f64 z x) z) (fma.f64 -13888888888889/5000000000000000 (/.f64 z x) (pow.f64 (.f64 x 1000000000000000/83333333333333) -1)))
1.0ms	x	@	-inf	(fma.f64 (+.f64 y 7936500793651/10000000000000000) (.f64 (/.f64 z x) z) (fma.f64 -13888888888889/5000000000000000 (/.f64 z x) (pow.f64 (.f64 x 1000000000000000/83333333333333) -1)))
1.0ms	x	@	inf	(fma.f64 (+.f64 y 7936500793651/10000000000000000) (.f64 (/.f64 z x) z) (fma.f64 -13888888888889/5000000000000000 (/.f64 z x) (pow.f64 (.f64 x 1000000000000000/83333333333333) -1)))
1.0ms	x	@	0	(fma.f64 (+.f64 y 7936500793651/10000000000000000) (.f64 (/.f64 z x) z) (fma.f64 -13888888888889/5000000000000000 (/.f64 z x) (pow.f64 (.f64 x 1000000000000000/83333333333333) -1)))
0.0ms	z	@	inf	(fma.f64 (+.f64 y 7936500793651/10000000000000000) (.f64 (/.f64 z x) z) (fma.f64 -13888888888889/5000000000000000 (/.f64 z x) (pow.f64 (.f64 x 1000000000000000/83333333333333) -1)))

rewrite61.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

281×	`log1p-udef_binary64`
256×	`prod-diff_binary64`
162×	`add-sqr-sqrt_binary64`
152×	`add-log-exp_binary64`
152×	`pow1_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	15	34
1	326	28
2	3998	28

Stop Event

1×	node limit

Counts

2 → 49

Calls

Call 1

Inputs

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

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

Outputs

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

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

simplify43.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

893×	`fma-neg_binary64`
634×	`fma-def_binary64`
214×	`associate-l_binary64`
197×	`distribute-rgt-out_binary64`
170×	`distribute-rgt-neg-in_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	44	951
1	116	917
2	312	803
3	867	740
4	3052	740

Stop Event

1×	node limit

Counts

97 → 65

Calls

Call 1

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

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

prune226.0ms (4.6%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	121	0	121
Fresh	0	8	8
Picked	0	1	1
Done	0	0	0
Total	121	9	130

Error

0.0b

Counts

130 → 9

Alt Table

Status	Error	Program
	6.4b	(+.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))
	10.3b	(+.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)))
	0.8b	(+.f64 (-.f64 91893853320467/100000000000000 (pow.f64 (cbrt.f64 (fma.f64 (log.f64 x) (-.f64 1/2 x) x)) 3)) (fma.f64 (+.f64 y 7936500793651/10000000000000000) (*.f64 (/.f64 z x) z) (fma.f64 -13888888888889/5000000000000000 (/.f64 z x) (/.f64 83333333333333/1000000000000000 x))))
✓	0.2b	(+.f64 (-.f64 91893853320467/100000000000000 (fma.f64 (log.f64 x) (-.f64 1/2 x) x)) (fma.f64 (+.f64 y 7936500793651/10000000000000000) (.f64 (/.f64 z x) z) (fma.f64 -13888888888889/5000000000000000 (/.f64 z x) (pow.f64 (.f64 x 1000000000000000/83333333333333) -1))))
	10.3b	(+.f64 (-.f64 91893853320467/100000000000000 (fma.f64 (log.f64 x) (-.f64 1/2 x) 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))))
	19.7b	(+.f64 (-.f64 91893853320467/100000000000000 (fma.f64 (log.f64 x) (-.f64 1/2 x) x)) (.f64 (/.f64 z x) (.f64 z (+.f64 y 7936500793651/10000000000000000))))
	10.0b	(+.f64 (-.f64 91893853320467/100000000000000 (fma.f64 (log.f64 x) (-.f64 1/2 x) x)) (+.f64 (.f64 83333333333333/1000000000000000 (/.f64 1 x)) (+.f64 (.f64 -13888888888889/5000000000000000 (/.f64 z x)) (.f64 (+.f64 (/.f64 y x) (.f64 7936500793651/10000000000000000 (/.f64 1 x))) (pow.f64 z 2)))))
▶	0.3b	(+.f64 (-.f64 91893853320467/100000000000000 (+.f64 x (.f64 (log.f64 x) (-.f64 1/2 x)))) (fma.f64 (+.f64 y 7936500793651/10000000000000000) (.f64 (/.f64 z x) z) (fma.f64 -13888888888889/5000000000000000 (/.f64 z x) (/.f64 83333333333333/1000000000000000 x))))
	24.1b	(+.f64 (-.f64 91893853320467/100000000000000 (*.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)))) (/.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000) x))

Compiler

Compiled 4433 to 2551 computations (42.5% saved)

localize17.0ms (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)))
	0.2b	(*.f64 (/.f64 z x) z)
	0.3b	(/.f64 83333333333333/1000000000000000 x)
	1.3b	(fma.f64 (+.f64 y 7936500793651/10000000000000000) (*.f64 (/.f64 z x) z) (fma.f64 -13888888888889/5000000000000000 (/.f64 z x) (/.f64 83333333333333/1000000000000000 x)))

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

Time	Variable		Point	Expression
1.0ms	x	@	0	(+.f64 x (*.f64 (log.f64 x) (-.f64 1/2 x)))
0.0ms	x	@	inf	(+.f64 x (*.f64 (log.f64 x) (-.f64 1/2 x)))
0.0ms	x	@	-inf	(+.f64 x (*.f64 (log.f64 x) (-.f64 1/2 x)))

rewrite39.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

855×	`log1p-expm1-u_binary64`
855×	`expm1-log1p-u_binary64`
83×	`add-sqr-sqrt_binary64`
80×	`*-un-lft-identity_binary64`
80×	`pow1_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	7	12
1	158	10
2	2210	10

Stop Event

1×	node limit

Counts

1 → 37

Calls

Call 1

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

Outputs

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

simplify34.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

449×	`fma-neg_binary64`
373×	`sub-neg_binary64`
364×	`unsub-neg_binary64`
318×	`associate--r+_binary64`
246×	`associate-+r+_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	28	181
1	69	159
2	173	159
3	514	132
4	1561	114
5	4541	114

Stop Event

1×	node limit

Counts

49 → 44

Calls

Call 1

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

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

prune292.0ms (5.9%)

Pruning

10 alts after pruning (8 fresh and 2 done)

	Pruned	Kept	Total
New	132	1	133
Fresh	0	7	7
Picked	0	1	1
Done	0	1	1
Total	132	10	142

Error

0.0b

Counts

142 → 10

Alt Table

Status	Error	Program
	6.4b	(+.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))
	10.3b	(+.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)))
	0.8b	(+.f64 (-.f64 91893853320467/100000000000000 (pow.f64 (cbrt.f64 (fma.f64 (log.f64 x) (-.f64 1/2 x) x)) 3)) (fma.f64 (+.f64 y 7936500793651/10000000000000000) (*.f64 (/.f64 z x) z) (fma.f64 -13888888888889/5000000000000000 (/.f64 z x) (/.f64 83333333333333/1000000000000000 x))))
✓	0.2b	(+.f64 (-.f64 91893853320467/100000000000000 (fma.f64 (log.f64 x) (-.f64 1/2 x) x)) (fma.f64 (+.f64 y 7936500793651/10000000000000000) (.f64 (/.f64 z x) z) (fma.f64 -13888888888889/5000000000000000 (/.f64 z x) (pow.f64 (.f64 x 1000000000000000/83333333333333) -1))))
	0.8b	(+.f64 (-.f64 91893853320467/100000000000000 (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)) (fma.f64 (+.f64 y 7936500793651/10000000000000000) (*.f64 (/.f64 z x) z) (fma.f64 -13888888888889/5000000000000000 (/.f64 z x) (/.f64 83333333333333/1000000000000000 x))))
	10.3b	(+.f64 (-.f64 91893853320467/100000000000000 (fma.f64 (log.f64 x) (-.f64 1/2 x) 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))))
	19.7b	(+.f64 (-.f64 91893853320467/100000000000000 (fma.f64 (log.f64 x) (-.f64 1/2 x) x)) (.f64 (/.f64 z x) (.f64 z (+.f64 y 7936500793651/10000000000000000))))
	10.0b	(+.f64 (-.f64 91893853320467/100000000000000 (fma.f64 (log.f64 x) (-.f64 1/2 x) x)) (+.f64 (.f64 83333333333333/1000000000000000 (/.f64 1 x)) (+.f64 (.f64 -13888888888889/5000000000000000 (/.f64 z x)) (.f64 (+.f64 (/.f64 y x) (.f64 7936500793651/10000000000000000 (/.f64 1 x))) (pow.f64 z 2)))))
✓	0.3b	(+.f64 (-.f64 91893853320467/100000000000000 (+.f64 x (.f64 (log.f64 x) (-.f64 1/2 x)))) (fma.f64 (+.f64 y 7936500793651/10000000000000000) (.f64 (/.f64 z x) z) (fma.f64 -13888888888889/5000000000000000 (/.f64 z x) (/.f64 83333333333333/1000000000000000 x))))
	24.1b	(+.f64 (-.f64 91893853320467/100000000000000 (*.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)))) (/.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000) x))

Compiler

Compiled 4686 to 2623 computations (44% saved)

regimes336.0ms (6.8%)

Accuracy

Total -44.7b remaining (-10917.6%)

Threshold costs -44.7b (-10917.6%)

Counts

82 → 1

Compiler

Compiled 2232 to 1346 computations (39.7% saved)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

6×	`+-commutative_binary64`
4×	`*-commutative_binary64`
4×	`sub-neg_binary64`
2×	`neg-sub0_binary64`
2×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	42
1	30	42
2	37	42
3	41	42
4	43	42

Stop Event

1×

saturated

Calls

Call 1

Inputs

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

Outputs

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

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

end178.0ms (3.6%)

Stop Event

1×

fuel

Compiler

Compiled 370 to 227 computations (38.6% saved)

Details

analyze705.0ms (14.3%)

sample1.9s (39%)

preprocess39.0ms (0.8%)

simplify31.0ms (0.6%)

prune5.0ms (0.1%)

localize15.0ms (0.3%)

series23.0ms (0.5%)

rewrite76.0ms (1.5%)

simplify51.0ms (1%)

prune349.0ms (7.1%)

localize19.0ms (0.4%)

series15.0ms (0.3%)

rewrite104.0ms (2.1%)

simplify47.0ms (1%)

prune272.0ms (5.5%)

localize18.0ms (0.4%)

series6.0ms (0.1%)

rewrite61.0ms (1.2%)

simplify43.0ms (0.9%)

prune226.0ms (4.6%)

localize17.0ms (0.3%)

series1.0ms (0%)

rewrite39.0ms (0.8%)

simplify34.0ms (0.7%)

prune292.0ms (5.9%)

regimes336.0ms (6.8%)

simplify3.0ms (0.1%)

end178.0ms (3.6%)

Profiling