Details

analyze7.0ms (0.2%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	100%	0%	0%	0%	0%	0
0%	0%	100%	0%	0%	0%	0%	1
0%	0%	100%	0%	0%	0%	0%	2
50%	50%	50%	0%	0%	0%	0%	3
66.7%	50%	25%	0%	0%	0%	25%	4
80%	50%	12.5%	0%	0%	0%	37.5%	5
88.9%	50%	6.2%	0%	0%	0%	43.7%	6
94.1%	50%	3.1%	0%	0%	0%	46.9%	7
97%	50%	1.6%	0%	0%	0%	48.4%	8
97%	50%	1.6%	0%	0%	0%	48.4%	9
97.7%	50.4%	1.2%	0%	0%	0%	48.4%	10
97.7%	50.4%	1.2%	0%	0%	0%	48.4%	11
97.9%	50.4%	1.1%	0%	0%	0%	48.5%	12

Compiler

Compiled 15 to 8 computations (46.7% saved)

sample2.4s (64.7%)

Results

1.5s	3965×	body	1024	valid
461.0ms	1963×	body	512	valid
222.0ms	1892×	body	256	valid
205.0ms	436×	body	2048	valid
1.0ms	11×	body	256	unsamplable

Bogosity

preprocess55.0ms (1.5%)

Algorithm

2×	egg-herbie

Rules

720×	`fma-def_binary64`
478×	`fma-neg_binary64`
463×	`times-frac_binary64`
381×	`associate-/r/_binary64`
306×	`associate-/l/_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	22
1	20	22
2	35	22
3	59	22
4	133	22
5	336	22
6	891	22
7	2601	22
8	6641	22
0	1	1

Stop Event

1×	saturated
1×	node limit

Calls

Call 1

Inputs
0

Outputs
0

Call 2

Inputs
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))

Outputs
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))

Compiler

Compiled 15 to 8 computations (46.7% saved)

simplify43.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

720×	`fma-def_binary64`
478×	`fma-neg_binary64`
463×	`times-frac_binary64`
381×	`associate-/r/_binary64`
306×	`associate-/l/_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	22
1	20	22
2	35	22
3	59	22
4	133	22
5	336	22
6	891	22
7	2601	22
8	6641	22

Stop Event

1×	node limit

Counts

1 → 1

Calls

Call 1

Inputs
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))

Outputs
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))

eval0.0ms (0%)

Compiler: Compiled 14 to 7 computations (50% saved)

prune1.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

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

Error

57.0b

Counts

2 → 1

Alt Table

Click to see full alt table

Status	Error	Program
▶	57.0b	(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))

Compiler

Compiled 14 to 7 computations (50% saved)

localize10.0ms (0.3%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	2.7b	(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
✓	6.4b	(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))

Compiler

Compiled 34 to 7 computations (79.4% saved)

series4.0ms (0.1%)

Counts

2 → 20

Calls

6 calls:

Time	Variable		Point	Expression
2.0ms	x	@	inf	(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
1.0ms	x	@	-inf	(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
1.0ms	x	@	0	(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
0.0ms	x	@	-inf	(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
0.0ms	x	@	0	(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))

rewrite48.0ms (1.3%)

Algorithm

2×	egg-rewrite-iter-limit
2×	egg-rewrite
1×	batch-egg-rewrite

Rules

99×	`add-sqr-sqrt_binary64`
99×	`add-sqr-sqrt_binary64`
95×	`*-un-lft-identity_binary64`
95×	`pow1_binary64`
95×	`*-un-lft-identity_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	12
1	186	12
2	3652	12
0	6	6
1	130	6
2	2188	6
0	6	6
0	8	3
1	186	3
2	3652	3
0	8	3

Stop Event

1×	iter limit
1×	unsound
1×	iter limit
1×	unsound
1×	unsound

Counts

2 → 25

Calls

Call 1

Inputs
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))

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

Outputs

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

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

simplify41.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

937×	`fma-def_binary64`
610×	`associate-/l/_binary64`
418×	`associate-l_binary64`
321×	`associate-r_binary64`
217×	`unswap-sqr_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	105	367
1	270	359
2	935	357
3	4058	293

Stop Event

1×	node limit

Counts

45 → 58

Calls

Call 1

Inputs
(*.f64 2 x)
(+.f64 (.f64 2 x) (.f64 1/3 (pow.f64 x 3)))
(+.f64 (.f64 2 x) (+.f64 (.f64 1/3 (pow.f64 x 3)) (*.f64 1/60 (pow.f64 x 5))))
(+.f64 (.f64 2 x) (+.f64 (.f64 1/3 (pow.f64 x 3)) (+.f64 (.f64 1/2520 (pow.f64 x 7)) (.f64 1/60 (pow.f64 x 5)))))
(-.f64 (exp.f64 x) (exp.f64 (*.f64 -1 x)))
(-.f64 (exp.f64 x) (exp.f64 (*.f64 -1 x)))
(-.f64 (exp.f64 x) (exp.f64 (*.f64 -1 x)))
(-.f64 (exp.f64 x) (exp.f64 (*.f64 -1 x)))
x
(+.f64 (*.f64 -1/3 (pow.f64 x 3)) x)
(+.f64 (.f64 -1/3 (pow.f64 x 3)) (+.f64 (.f64 2/15 (pow.f64 x 5)) x))
(+.f64 (.f64 -17/315 (pow.f64 x 7)) (+.f64 (.f64 -1/3 (pow.f64 x 3)) (+.f64 (*.f64 2/15 (pow.f64 x 5)) x)))
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (.f64 -1 x))) (+.f64 (exp.f64 x) (exp.f64 (.f64 -1 x))))
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (.f64 -1 x))) (+.f64 (exp.f64 x) (exp.f64 (.f64 -1 x))))
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (.f64 -1 x))) (+.f64 (exp.f64 x) (exp.f64 (.f64 -1 x))))
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (.f64 -1 x))) (+.f64 (exp.f64 x) (exp.f64 (.f64 -1 x))))
(+.f64 (exp.f64 x) (neg.f64 (exp.f64 (neg.f64 x))))
(.f64 1 (.f64 2 (sinh.f64 x)))
(.f64 (.f64 (cbrt.f64 (.f64 2 (sinh.f64 x))) (cbrt.f64 (.f64 2 (sinh.f64 x)))) (cbrt.f64 (*.f64 2 (sinh.f64 x))))
(.f64 (sqrt.f64 (.f64 2 (sinh.f64 x))) (sqrt.f64 (*.f64 2 (sinh.f64 x))))
(*.f64 2 (sinh.f64 x))
(/.f64 (-.f64 (pow.f64 (exp.f64 x) 3) (pow.f64 (exp.f64 (neg.f64 x)) 3)) (+.f64 (.f64 (exp.f64 x) (exp.f64 x)) (+.f64 (.f64 (exp.f64 (neg.f64 x)) (exp.f64 (neg.f64 x))) (*.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))))
(/.f64 (-.f64 (.f64 (exp.f64 x) (exp.f64 x)) (.f64 (exp.f64 (neg.f64 x)) (exp.f64 (neg.f64 x)))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(pow.f64 (*.f64 2 (sinh.f64 x)) 1)
(log.f64 (exp.f64 (*.f64 2 (sinh.f64 x))))
(cbrt.f64 (.f64 (.f64 (.f64 2 (sinh.f64 x)) (.f64 2 (sinh.f64 x))) (*.f64 2 (sinh.f64 x))))
(expm1.f64 (log1p.f64 (*.f64 2 (sinh.f64 x))))
(log1p.f64 (expm1.f64 (*.f64 2 (sinh.f64 x))))
(exp.f64 (log.f64 (*.f64 2 (sinh.f64 x))))
(-.f64 (/.f64 (exp.f64 x) (.f64 2 (cosh.f64 x))) (/.f64 (exp.f64 (neg.f64 x)) (.f64 2 (cosh.f64 x))))
(.f64 (.f64 2 (sinh.f64 x)) (/.f64 1 (*.f64 2 (cosh.f64 x))))
(*.f64 1 (tanh.f64 x))
(.f64 (.f64 (cbrt.f64 (tanh.f64 x)) (cbrt.f64 (tanh.f64 x))) (cbrt.f64 (tanh.f64 x)))
(*.f64 (sqrt.f64 (tanh.f64 x)) (sqrt.f64 (tanh.f64 x)))
(pow.f64 (tanh.f64 x) 1)
(log.f64 (exp.f64 (tanh.f64 x)))
(cbrt.f64 (.f64 (.f64 (tanh.f64 x) (tanh.f64 x)) (tanh.f64 x)))
(expm1.f64 (log1p.f64 (tanh.f64 x)))
(log1p.f64 (expm1.f64 (tanh.f64 x)))
(exp.f64 (log.f64 (tanh.f64 x)))
(tanh.f64 x)

Outputs
(*.f64 2 x)
(+.f64 x x)
(+.f64 (.f64 2 x) (.f64 1/3 (pow.f64 x 3)))
(fma.f64 2 x (*.f64 1/3 (pow.f64 x 3)))
(+.f64 x (fma.f64 1/3 (pow.f64 x 3) x))
(+.f64 (.f64 2 x) (+.f64 (.f64 1/3 (pow.f64 x 3)) (*.f64 1/60 (pow.f64 x 5))))
(fma.f64 2 x (fma.f64 1/3 (pow.f64 x 3) (*.f64 1/60 (pow.f64 x 5))))
(fma.f64 x (fma.f64 x (.f64 x 1/3) 2) (.f64 1/60 (pow.f64 x 5)))
(+.f64 (.f64 2 x) (+.f64 (.f64 1/3 (pow.f64 x 3)) (+.f64 (.f64 1/2520 (pow.f64 x 7)) (.f64 1/60 (pow.f64 x 5)))))
(fma.f64 2 x (fma.f64 1/3 (pow.f64 x 3) (fma.f64 1/2520 (pow.f64 x 7) (*.f64 1/60 (pow.f64 x 5)))))
(fma.f64 2 x (fma.f64 1/3 (pow.f64 x 3) (fma.f64 1/60 (pow.f64 x 5) (*.f64 1/2520 (pow.f64 x 7)))))
(fma.f64 1/60 (pow.f64 x 5) (fma.f64 1/2520 (pow.f64 x 7) (+.f64 x (fma.f64 1/3 (pow.f64 x 3) x))))
(-.f64 (exp.f64 x) (exp.f64 (*.f64 -1 x)))
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(*.f64 2 (sinh.f64 x))
(-.f64 (exp.f64 x) (exp.f64 (*.f64 -1 x)))
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(*.f64 2 (sinh.f64 x))
(-.f64 (exp.f64 x) (exp.f64 (*.f64 -1 x)))
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(*.f64 2 (sinh.f64 x))
(-.f64 (exp.f64 x) (exp.f64 (*.f64 -1 x)))
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(*.f64 2 (sinh.f64 x))
x
(+.f64 (*.f64 -1/3 (pow.f64 x 3)) x)
(fma.f64 -1/3 (pow.f64 x 3) x)
(fma.f64 (pow.f64 x 3) -1/3 x)
(+.f64 (.f64 -1/3 (pow.f64 x 3)) (+.f64 (.f64 2/15 (pow.f64 x 5)) x))
(fma.f64 -1/3 (pow.f64 x 3) (fma.f64 2/15 (pow.f64 x 5) x))
(fma.f64 (pow.f64 x 3) -1/3 (fma.f64 (pow.f64 x 5) 2/15 x))
(fma.f64 (pow.f64 x 5) 2/15 (fma.f64 (pow.f64 x 3) -1/3 x))
(+.f64 (.f64 -17/315 (pow.f64 x 7)) (+.f64 (.f64 -1/3 (pow.f64 x 3)) (+.f64 (*.f64 2/15 (pow.f64 x 5)) x)))
(fma.f64 -17/315 (pow.f64 x 7) (fma.f64 -1/3 (pow.f64 x 3) (fma.f64 2/15 (pow.f64 x 5) x)))
(fma.f64 (pow.f64 x 7) -17/315 (fma.f64 (pow.f64 x 3) -1/3 (fma.f64 (pow.f64 x 5) 2/15 x)))
(fma.f64 (pow.f64 x 3) -1/3 (fma.f64 (pow.f64 x 7) -17/315 (fma.f64 (pow.f64 x 5) 2/15 x)))
(fma.f64 (pow.f64 x 3) -1/3 (fma.f64 (pow.f64 x 5) 2/15 (fma.f64 (pow.f64 x 7) -17/315 x)))
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))
(tanh.f64 x)
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))
(tanh.f64 x)
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))
(tanh.f64 x)
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))
(tanh.f64 x)
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (.f64 -1 x))) (+.f64 (exp.f64 x) (exp.f64 (.f64 -1 x))))
(tanh.f64 x)
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (.f64 -1 x))) (+.f64 (exp.f64 x) (exp.f64 (.f64 -1 x))))
(tanh.f64 x)
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (.f64 -1 x))) (+.f64 (exp.f64 x) (exp.f64 (.f64 -1 x))))
(tanh.f64 x)
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (.f64 -1 x))) (+.f64 (exp.f64 x) (exp.f64 (.f64 -1 x))))
(tanh.f64 x)
(+.f64 (exp.f64 x) (neg.f64 (exp.f64 (neg.f64 x))))
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(*.f64 2 (sinh.f64 x))
(.f64 1 (.f64 2 (sinh.f64 x)))
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(*.f64 2 (sinh.f64 x))
(.f64 (.f64 (cbrt.f64 (.f64 2 (sinh.f64 x))) (cbrt.f64 (.f64 2 (sinh.f64 x)))) (cbrt.f64 (*.f64 2 (sinh.f64 x))))
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(*.f64 2 (sinh.f64 x))
(.f64 (sqrt.f64 (.f64 2 (sinh.f64 x))) (sqrt.f64 (*.f64 2 (sinh.f64 x))))
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(*.f64 2 (sinh.f64 x))
(*.f64 2 (sinh.f64 x))
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(/.f64 (-.f64 (pow.f64 (exp.f64 x) 3) (pow.f64 (exp.f64 (neg.f64 x)) 3)) (+.f64 (.f64 (exp.f64 x) (exp.f64 x)) (+.f64 (.f64 (exp.f64 (neg.f64 x)) (exp.f64 (neg.f64 x))) (*.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))))
(/.f64 (-.f64 (pow.f64 (exp.f64 x) 3) (pow.f64 (exp.f64 (neg.f64 x)) 3)) (+.f64 (exp.f64 (+.f64 x x)) (*.f64 (exp.f64 (neg.f64 x)) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))))
(/.f64 (-.f64 (pow.f64 (exp.f64 x) 3) (pow.f64 (exp.f64 (neg.f64 x)) 3)) (+.f64 1 (+.f64 (exp.f64 (+.f64 x x)) (pow.f64 (exp.f64 -2) x))))
(/.f64 (-.f64 (pow.f64 (exp.f64 x) 3) (exp.f64 (*.f64 x -3))) (+.f64 1 (+.f64 (pow.f64 (exp.f64 2) x) (pow.f64 (exp.f64 x) -2))))
(/.f64 (-.f64 (pow.f64 (exp.f64 x) 3) (pow.f64 (exp.f64 x) -3)) (+.f64 1 (+.f64 (pow.f64 (exp.f64 x) 2) (pow.f64 (exp.f64 x) -2))))
(/.f64 (-.f64 (.f64 (exp.f64 x) (exp.f64 x)) (.f64 (exp.f64 (neg.f64 x)) (exp.f64 (neg.f64 x)))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(*.f64 2 (sinh.f64 x))
(pow.f64 (*.f64 2 (sinh.f64 x)) 1)
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(*.f64 2 (sinh.f64 x))
(log.f64 (exp.f64 (*.f64 2 (sinh.f64 x))))
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(*.f64 2 (sinh.f64 x))
(cbrt.f64 (.f64 (.f64 (.f64 2 (sinh.f64 x)) (.f64 2 (sinh.f64 x))) (*.f64 2 (sinh.f64 x))))
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(*.f64 2 (sinh.f64 x))
(expm1.f64 (log1p.f64 (*.f64 2 (sinh.f64 x))))
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(*.f64 2 (sinh.f64 x))
(log1p.f64 (expm1.f64 (*.f64 2 (sinh.f64 x))))
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(*.f64 2 (sinh.f64 x))
(exp.f64 (log.f64 (*.f64 2 (sinh.f64 x))))
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(*.f64 2 (sinh.f64 x))
(-.f64 (/.f64 (exp.f64 x) (.f64 2 (cosh.f64 x))) (/.f64 (exp.f64 (neg.f64 x)) (.f64 2 (cosh.f64 x))))
(tanh.f64 x)
(.f64 (.f64 2 (sinh.f64 x)) (/.f64 1 (*.f64 2 (cosh.f64 x))))
(tanh.f64 x)
(*.f64 1 (tanh.f64 x))
(tanh.f64 x)
(.f64 (.f64 (cbrt.f64 (tanh.f64 x)) (cbrt.f64 (tanh.f64 x))) (cbrt.f64 (tanh.f64 x)))
(tanh.f64 x)
(*.f64 (sqrt.f64 (tanh.f64 x)) (sqrt.f64 (tanh.f64 x)))
(tanh.f64 x)
(pow.f64 (tanh.f64 x) 1)
(tanh.f64 x)
(log.f64 (exp.f64 (tanh.f64 x)))
(tanh.f64 x)
(cbrt.f64 (.f64 (.f64 (tanh.f64 x) (tanh.f64 x)) (tanh.f64 x)))
(tanh.f64 x)
(expm1.f64 (log1p.f64 (tanh.f64 x)))
(tanh.f64 x)
(log1p.f64 (expm1.f64 (tanh.f64 x)))
(tanh.f64 x)
(exp.f64 (log.f64 (tanh.f64 x)))
(tanh.f64 x)
(tanh.f64 x)

eval15.0ms (0.4%)

Compiler: Compiled 866 to 426 computations (50.8% saved)

prune48.0ms (1.3%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	53	5	58
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	54	5	59

Error

Counts

59 → 5

Alt Table

Click to see full alt table

Status	Error	Program
▶	3.4b	(+.f64 (.f64 -1/3 (pow.f64 x 3)) (+.f64 (.f64 2/15 (pow.f64 x 5)) x))
▶	3.9b	(+.f64 (*.f64 -1/3 (pow.f64 x 3)) x)
▶	0.0b	(tanh.f64 x)
▶	54.3b	(log.f64 (exp.f64 (tanh.f64 x)))
	4.0b	x

Compiler

Compiled 32 to 24 computations (25% saved)

localize5.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(tanh.f64 x)
✓	6.4b	(log.f64 (exp.f64 (tanh.f64 x)))

Compiler

Compiled 11 to 4 computations (63.6% saved)

series4.0ms (0.1%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
2.0ms	x	@	-inf	(log.f64 (exp.f64 (tanh.f64 x)))
1.0ms	x	@	inf	(log.f64 (exp.f64 (tanh.f64 x)))
0.0ms	x	@	0	(log.f64 (exp.f64 (tanh.f64 x)))
0.0ms	x	@	-inf	(tanh.f64 x)
0.0ms	x	@	inf	(tanh.f64 x)

rewrite42.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

534×	`pow1_binary64`
523×	`add-sqr-sqrt_binary64`
498×	`add-log-exp_binary64`
497×	`log1p-expm1-u_binary64`
497×	`expm1-log1p-u_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	6
1	96	6
2	1262	6

Stop Event

1×	node limit

Counts

2 → 68

Calls

Call 1

Inputs
(log.f64 (exp.f64 (tanh.f64 x)))
(tanh.f64 x)

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

Outputs

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

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

simplify50.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

562×	`log-prod_binary64`
517×	`fma-neg_binary64`
393×	`associate-l_binary64`
378×	`associate-r_binary64`
274×	`exp-prod_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	109	384
1	277	362
2	977	362
3	6075	362

Stop Event

1×	node limit

Counts

92 → 46

Calls

Call 1

Inputs
x
(+.f64 (*.f64 -1/3 (pow.f64 x 3)) x)
(+.f64 (.f64 -1/3 (pow.f64 x 3)) (+.f64 (.f64 2/15 (pow.f64 x 5)) x))
(+.f64 (.f64 -17/315 (pow.f64 x 7)) (+.f64 (.f64 -1/3 (pow.f64 x 3)) (+.f64 (*.f64 2/15 (pow.f64 x 5)) x)))
(/.f64 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))) (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))
(/.f64 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))) (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))
(/.f64 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))) (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))
(/.f64 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))) (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))
(/.f64 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))) (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))
(/.f64 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))) (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))
(/.f64 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))) (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))
(/.f64 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))) (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))
x
(+.f64 (*.f64 -1/3 (pow.f64 x 3)) x)
(+.f64 (.f64 -1/3 (pow.f64 x 3)) (+.f64 (.f64 2/15 (pow.f64 x 5)) x))
(+.f64 (.f64 -17/315 (pow.f64 x 7)) (+.f64 (.f64 -1/3 (pow.f64 x 3)) (+.f64 (*.f64 2/15 (pow.f64 x 5)) x)))
(/.f64 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))) (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))
(/.f64 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))) (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))
(/.f64 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))) (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))
(/.f64 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))) (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))
(/.f64 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))) (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))
(/.f64 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))) (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))
(/.f64 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))) (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))
(/.f64 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))) (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))
(+.f64 0 (tanh.f64 x))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (tanh.f64 x)))) (log.f64 (sqrt.f64 (exp.f64 (tanh.f64 x)))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (tanh.f64 x))) 2)) (log.f64 (cbrt.f64 (exp.f64 (tanh.f64 x)))))
(-.f64 (+.f64 1 (tanh.f64 x)) 1)
(-.f64 (/.f64 1 (+.f64 1 (pow.f64 (exp.f64 -2) x))) (/.f64 (pow.f64 (exp.f64 -2) x) (+.f64 1 (pow.f64 (exp.f64 -2) x))))
(-.f64 (/.f64 (exp.f64 (.f64 x 2)) (+.f64 1 (exp.f64 (.f64 x 2)))) (/.f64 1 (+.f64 1 (exp.f64 (*.f64 x 2)))))
(-.f64 (/.f64 (exp.f64 x) (.f64 2 (cosh.f64 x))) (/.f64 (exp.f64 (neg.f64 x)) (.f64 2 (cosh.f64 x))))
(*.f64 (tanh.f64 x) 1)
(*.f64 1 (tanh.f64 x))
(*.f64 (cbrt.f64 (tanh.f64 x)) (pow.f64 (cbrt.f64 (tanh.f64 x)) 2))
(*.f64 (pow.f64 (cbrt.f64 (tanh.f64 x)) 2) (cbrt.f64 (tanh.f64 x)))
(*.f64 (sqrt.f64 (tanh.f64 x)) (sqrt.f64 (tanh.f64 x)))
(*.f64 (-.f64 1 (pow.f64 (exp.f64 -2) x)) (/.f64 1 (+.f64 1 (pow.f64 (exp.f64 -2) x))))
(.f64 (expm1.f64 (.f64 x 2)) (/.f64 1 (+.f64 1 (exp.f64 (*.f64 x 2)))))
(.f64 (.f64 2 (sinh.f64 x)) (/.f64 1 (*.f64 2 (cosh.f64 x))))
(/.f64 1 (/.f64 (+.f64 1 (pow.f64 (exp.f64 -2) x)) (-.f64 1 (pow.f64 (exp.f64 -2) x))))
(/.f64 1 (/.f64 (+.f64 1 (exp.f64 (.f64 x 2))) (expm1.f64 (.f64 x 2))))
(/.f64 1 (/.f64 (.f64 2 (cosh.f64 x)) (.f64 2 (sinh.f64 x))))
(/.f64 (-.f64 1 (pow.f64 (exp.f64 -2) x)) (+.f64 1 (pow.f64 (exp.f64 -2) x)))
(/.f64 (expm1.f64 (.f64 x 2)) (+.f64 1 (exp.f64 (.f64 x 2))))
(/.f64 (.f64 2 (sinh.f64 x)) (.f64 2 (cosh.f64 x)))
(/.f64 (neg.f64 (-.f64 1 (pow.f64 (exp.f64 -2) x))) (neg.f64 (+.f64 1 (pow.f64 (exp.f64 -2) x))))
(/.f64 (neg.f64 (expm1.f64 (.f64 x 2))) (neg.f64 (+.f64 1 (exp.f64 (.f64 x 2)))))
(/.f64 (neg.f64 (.f64 2 (sinh.f64 x))) (neg.f64 (.f64 2 (cosh.f64 x))))
(pow.f64 (tanh.f64 x) 1)
(pow.f64 (pow.f64 (tanh.f64 x) 3) 1/3)
(pow.f64 (cbrt.f64 (tanh.f64 x)) 3)
(pow.f64 (sqrt.f64 (tanh.f64 x)) 2)
(sqrt.f64 (pow.f64 (tanh.f64 x) 2))
(cbrt.f64 (pow.f64 (tanh.f64 x) 3))
(expm1.f64 (log1p.f64 (tanh.f64 x)))
(log1p.f64 (expm1.f64 (tanh.f64 x)))
(exp.f64 (log.f64 (tanh.f64 x)))
(tanh.f64 x)
(+.f64 0 (tanh.f64 x))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (tanh.f64 x)))) (log.f64 (sqrt.f64 (exp.f64 (tanh.f64 x)))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (tanh.f64 x))) 2)) (log.f64 (cbrt.f64 (exp.f64 (tanh.f64 x)))))
(-.f64 (+.f64 1 (tanh.f64 x)) 1)
(-.f64 (/.f64 1 (+.f64 1 (pow.f64 (exp.f64 -2) x))) (/.f64 (pow.f64 (exp.f64 -2) x) (+.f64 1 (pow.f64 (exp.f64 -2) x))))
(-.f64 (/.f64 (exp.f64 (.f64 x 2)) (+.f64 1 (exp.f64 (.f64 x 2)))) (/.f64 1 (+.f64 1 (exp.f64 (*.f64 x 2)))))
(-.f64 (/.f64 (exp.f64 x) (.f64 2 (cosh.f64 x))) (/.f64 (exp.f64 (neg.f64 x)) (.f64 2 (cosh.f64 x))))
(*.f64 (tanh.f64 x) 1)
(*.f64 1 (tanh.f64 x))
(*.f64 (cbrt.f64 (tanh.f64 x)) (pow.f64 (cbrt.f64 (tanh.f64 x)) 2))
(*.f64 (pow.f64 (cbrt.f64 (tanh.f64 x)) 2) (cbrt.f64 (tanh.f64 x)))
(*.f64 (sqrt.f64 (tanh.f64 x)) (sqrt.f64 (tanh.f64 x)))
(*.f64 (-.f64 1 (pow.f64 (exp.f64 -2) x)) (/.f64 1 (+.f64 1 (pow.f64 (exp.f64 -2) x))))
(.f64 (expm1.f64 (.f64 x 2)) (/.f64 1 (+.f64 1 (exp.f64 (*.f64 x 2)))))
(.f64 (.f64 2 (sinh.f64 x)) (/.f64 1 (*.f64 2 (cosh.f64 x))))
(/.f64 1 (/.f64 (+.f64 1 (pow.f64 (exp.f64 -2) x)) (-.f64 1 (pow.f64 (exp.f64 -2) x))))
(/.f64 1 (/.f64 (+.f64 1 (exp.f64 (.f64 x 2))) (expm1.f64 (.f64 x 2))))
(/.f64 1 (/.f64 (.f64 2 (cosh.f64 x)) (.f64 2 (sinh.f64 x))))
(/.f64 (-.f64 1 (pow.f64 (exp.f64 -2) x)) (+.f64 1 (pow.f64 (exp.f64 -2) x)))
(/.f64 (expm1.f64 (.f64 x 2)) (+.f64 1 (exp.f64 (.f64 x 2))))
(/.f64 (.f64 2 (sinh.f64 x)) (.f64 2 (cosh.f64 x)))
(/.f64 (neg.f64 (-.f64 1 (pow.f64 (exp.f64 -2) x))) (neg.f64 (+.f64 1 (pow.f64 (exp.f64 -2) x))))
(/.f64 (neg.f64 (expm1.f64 (.f64 x 2))) (neg.f64 (+.f64 1 (exp.f64 (.f64 x 2)))))
(/.f64 (neg.f64 (.f64 2 (sinh.f64 x))) (neg.f64 (.f64 2 (cosh.f64 x))))
(pow.f64 (tanh.f64 x) 1)
(pow.f64 (pow.f64 (tanh.f64 x) 3) 1/3)
(pow.f64 (cbrt.f64 (tanh.f64 x)) 3)
(pow.f64 (sqrt.f64 (tanh.f64 x)) 2)
(sqrt.f64 (pow.f64 (tanh.f64 x) 2))
(log.f64 (exp.f64 (tanh.f64 x)))
(cbrt.f64 (pow.f64 (tanh.f64 x) 3))
(expm1.f64 (log1p.f64 (tanh.f64 x)))
(log1p.f64 (expm1.f64 (tanh.f64 x)))
(exp.f64 (log.f64 (tanh.f64 x)))

Outputs
x
(+.f64 (*.f64 -1/3 (pow.f64 x 3)) x)
(fma.f64 -1/3 (pow.f64 x 3) x)
(+.f64 (.f64 -1/3 (pow.f64 x 3)) (+.f64 (.f64 2/15 (pow.f64 x 5)) x))
(fma.f64 -1/3 (pow.f64 x 3) (fma.f64 2/15 (pow.f64 x 5) x))
(+.f64 (.f64 -17/315 (pow.f64 x 7)) (+.f64 (.f64 -1/3 (pow.f64 x 3)) (+.f64 (*.f64 2/15 (pow.f64 x 5)) x)))
(fma.f64 -17/315 (pow.f64 x 7) (fma.f64 -1/3 (pow.f64 x 3) (fma.f64 2/15 (pow.f64 x 5) x)))
(fma.f64 -1/3 (pow.f64 x 3) (fma.f64 -17/315 (pow.f64 x 7) (fma.f64 2/15 (pow.f64 x 5) x)))
(/.f64 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))) (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))
(tanh.f64 x)
(/.f64 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))) (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))
(tanh.f64 x)
(/.f64 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))) (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))
(tanh.f64 x)
(/.f64 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))) (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))
(tanh.f64 x)
(/.f64 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))) (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))
(tanh.f64 x)
(/.f64 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))) (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))
(tanh.f64 x)
(/.f64 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))) (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))
(tanh.f64 x)
(/.f64 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))) (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))
(tanh.f64 x)
x
(+.f64 (*.f64 -1/3 (pow.f64 x 3)) x)
(fma.f64 -1/3 (pow.f64 x 3) x)
(+.f64 (.f64 -1/3 (pow.f64 x 3)) (+.f64 (.f64 2/15 (pow.f64 x 5)) x))
(fma.f64 -1/3 (pow.f64 x 3) (fma.f64 2/15 (pow.f64 x 5) x))
(+.f64 (.f64 -17/315 (pow.f64 x 7)) (+.f64 (.f64 -1/3 (pow.f64 x 3)) (+.f64 (*.f64 2/15 (pow.f64 x 5)) x)))
(fma.f64 -17/315 (pow.f64 x 7) (fma.f64 -1/3 (pow.f64 x 3) (fma.f64 2/15 (pow.f64 x 5) x)))
(fma.f64 -1/3 (pow.f64 x 3) (fma.f64 -17/315 (pow.f64 x 7) (fma.f64 2/15 (pow.f64 x 5) x)))
(/.f64 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))) (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))
(tanh.f64 x)
(/.f64 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))) (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))
(tanh.f64 x)
(/.f64 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))) (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))
(tanh.f64 x)
(/.f64 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))) (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))
(tanh.f64 x)
(/.f64 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))) (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))
(tanh.f64 x)
(/.f64 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))) (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))
(tanh.f64 x)
(/.f64 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))) (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))
(tanh.f64 x)
(/.f64 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))) (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))
(tanh.f64 x)
(+.f64 0 (tanh.f64 x))
(tanh.f64 x)
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (tanh.f64 x)))) (log.f64 (sqrt.f64 (exp.f64 (tanh.f64 x)))))
(tanh.f64 x)
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (tanh.f64 x))) 2)) (log.f64 (cbrt.f64 (exp.f64 (tanh.f64 x)))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (exp.f64 (tanh.f64 x))))) (log.f64 (cbrt.f64 (exp.f64 (tanh.f64 x)))))
(*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (tanh.f64 x)))))
(-.f64 (+.f64 1 (tanh.f64 x)) 1)
(tanh.f64 x)
(-.f64 (/.f64 1 (+.f64 1 (pow.f64 (exp.f64 -2) x))) (/.f64 (pow.f64 (exp.f64 -2) x) (+.f64 1 (pow.f64 (exp.f64 -2) x))))
(tanh.f64 x)
(-.f64 (/.f64 (exp.f64 (.f64 x 2)) (+.f64 1 (exp.f64 (.f64 x 2)))) (/.f64 1 (+.f64 1 (exp.f64 (*.f64 x 2)))))
(tanh.f64 x)
(-.f64 (/.f64 (exp.f64 x) (.f64 2 (cosh.f64 x))) (/.f64 (exp.f64 (neg.f64 x)) (.f64 2 (cosh.f64 x))))
(tanh.f64 x)
(*.f64 (tanh.f64 x) 1)
(tanh.f64 x)
(*.f64 1 (tanh.f64 x))
(tanh.f64 x)
(*.f64 (cbrt.f64 (tanh.f64 x)) (pow.f64 (cbrt.f64 (tanh.f64 x)) 2))
(tanh.f64 x)
(*.f64 (pow.f64 (cbrt.f64 (tanh.f64 x)) 2) (cbrt.f64 (tanh.f64 x)))
(tanh.f64 x)
(*.f64 (sqrt.f64 (tanh.f64 x)) (sqrt.f64 (tanh.f64 x)))
(tanh.f64 x)
(*.f64 (-.f64 1 (pow.f64 (exp.f64 -2) x)) (/.f64 1 (+.f64 1 (pow.f64 (exp.f64 -2) x))))
(tanh.f64 x)
(.f64 (expm1.f64 (.f64 x 2)) (/.f64 1 (+.f64 1 (exp.f64 (*.f64 x 2)))))
(tanh.f64 x)
(.f64 (.f64 2 (sinh.f64 x)) (/.f64 1 (*.f64 2 (cosh.f64 x))))
(tanh.f64 x)
(/.f64 1 (/.f64 (+.f64 1 (pow.f64 (exp.f64 -2) x)) (-.f64 1 (pow.f64 (exp.f64 -2) x))))
(tanh.f64 x)
(/.f64 1 (/.f64 (+.f64 1 (exp.f64 (.f64 x 2))) (expm1.f64 (.f64 x 2))))
(tanh.f64 x)
(/.f64 1 (/.f64 (.f64 2 (cosh.f64 x)) (.f64 2 (sinh.f64 x))))
(tanh.f64 x)
(/.f64 (-.f64 1 (pow.f64 (exp.f64 -2) x)) (+.f64 1 (pow.f64 (exp.f64 -2) x)))
(tanh.f64 x)
(/.f64 (expm1.f64 (.f64 x 2)) (+.f64 1 (exp.f64 (.f64 x 2))))
(tanh.f64 x)
(/.f64 (.f64 2 (sinh.f64 x)) (.f64 2 (cosh.f64 x)))
(tanh.f64 x)
(/.f64 (neg.f64 (-.f64 1 (pow.f64 (exp.f64 -2) x))) (neg.f64 (+.f64 1 (pow.f64 (exp.f64 -2) x))))
(tanh.f64 x)
(/.f64 (neg.f64 (expm1.f64 (.f64 x 2))) (neg.f64 (+.f64 1 (exp.f64 (.f64 x 2)))))
(tanh.f64 x)
(/.f64 (neg.f64 (.f64 2 (sinh.f64 x))) (neg.f64 (.f64 2 (cosh.f64 x))))
(tanh.f64 x)
(pow.f64 (tanh.f64 x) 1)
(tanh.f64 x)
(pow.f64 (pow.f64 (tanh.f64 x) 3) 1/3)
(tanh.f64 x)
(pow.f64 (cbrt.f64 (tanh.f64 x)) 3)
(tanh.f64 x)
(pow.f64 (sqrt.f64 (tanh.f64 x)) 2)
(tanh.f64 x)
(sqrt.f64 (pow.f64 (tanh.f64 x) 2))
(tanh.f64 x)
(cbrt.f64 (pow.f64 (tanh.f64 x) 3))
(tanh.f64 x)
(expm1.f64 (log1p.f64 (tanh.f64 x)))
(tanh.f64 x)
(log1p.f64 (expm1.f64 (tanh.f64 x)))
(tanh.f64 x)
(exp.f64 (log.f64 (tanh.f64 x)))
(tanh.f64 x)
(tanh.f64 x)
(+.f64 0 (tanh.f64 x))
(tanh.f64 x)
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (tanh.f64 x)))) (log.f64 (sqrt.f64 (exp.f64 (tanh.f64 x)))))
(tanh.f64 x)
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (tanh.f64 x))) 2)) (log.f64 (cbrt.f64 (exp.f64 (tanh.f64 x)))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (exp.f64 (tanh.f64 x))))) (log.f64 (cbrt.f64 (exp.f64 (tanh.f64 x)))))
(*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (tanh.f64 x)))))
(-.f64 (+.f64 1 (tanh.f64 x)) 1)
(tanh.f64 x)
(-.f64 (/.f64 1 (+.f64 1 (pow.f64 (exp.f64 -2) x))) (/.f64 (pow.f64 (exp.f64 -2) x) (+.f64 1 (pow.f64 (exp.f64 -2) x))))
(tanh.f64 x)
(-.f64 (/.f64 (exp.f64 (.f64 x 2)) (+.f64 1 (exp.f64 (.f64 x 2)))) (/.f64 1 (+.f64 1 (exp.f64 (*.f64 x 2)))))
(tanh.f64 x)
(-.f64 (/.f64 (exp.f64 x) (.f64 2 (cosh.f64 x))) (/.f64 (exp.f64 (neg.f64 x)) (.f64 2 (cosh.f64 x))))
(tanh.f64 x)
(*.f64 (tanh.f64 x) 1)
(tanh.f64 x)
(*.f64 1 (tanh.f64 x))
(tanh.f64 x)
(*.f64 (cbrt.f64 (tanh.f64 x)) (pow.f64 (cbrt.f64 (tanh.f64 x)) 2))
(tanh.f64 x)
(*.f64 (pow.f64 (cbrt.f64 (tanh.f64 x)) 2) (cbrt.f64 (tanh.f64 x)))
(tanh.f64 x)
(*.f64 (sqrt.f64 (tanh.f64 x)) (sqrt.f64 (tanh.f64 x)))
(tanh.f64 x)
(*.f64 (-.f64 1 (pow.f64 (exp.f64 -2) x)) (/.f64 1 (+.f64 1 (pow.f64 (exp.f64 -2) x))))
(tanh.f64 x)
(.f64 (expm1.f64 (.f64 x 2)) (/.f64 1 (+.f64 1 (exp.f64 (*.f64 x 2)))))
(tanh.f64 x)
(.f64 (.f64 2 (sinh.f64 x)) (/.f64 1 (*.f64 2 (cosh.f64 x))))
(tanh.f64 x)
(/.f64 1 (/.f64 (+.f64 1 (pow.f64 (exp.f64 -2) x)) (-.f64 1 (pow.f64 (exp.f64 -2) x))))
(tanh.f64 x)
(/.f64 1 (/.f64 (+.f64 1 (exp.f64 (.f64 x 2))) (expm1.f64 (.f64 x 2))))
(tanh.f64 x)
(/.f64 1 (/.f64 (.f64 2 (cosh.f64 x)) (.f64 2 (sinh.f64 x))))
(tanh.f64 x)
(/.f64 (-.f64 1 (pow.f64 (exp.f64 -2) x)) (+.f64 1 (pow.f64 (exp.f64 -2) x)))
(tanh.f64 x)
(/.f64 (expm1.f64 (.f64 x 2)) (+.f64 1 (exp.f64 (.f64 x 2))))
(tanh.f64 x)
(/.f64 (.f64 2 (sinh.f64 x)) (.f64 2 (cosh.f64 x)))
(tanh.f64 x)
(/.f64 (neg.f64 (-.f64 1 (pow.f64 (exp.f64 -2) x))) (neg.f64 (+.f64 1 (pow.f64 (exp.f64 -2) x))))
(tanh.f64 x)
(/.f64 (neg.f64 (expm1.f64 (.f64 x 2))) (neg.f64 (+.f64 1 (exp.f64 (.f64 x 2)))))
(tanh.f64 x)
(/.f64 (neg.f64 (.f64 2 (sinh.f64 x))) (neg.f64 (.f64 2 (cosh.f64 x))))
(tanh.f64 x)
(pow.f64 (tanh.f64 x) 1)
(tanh.f64 x)
(pow.f64 (pow.f64 (tanh.f64 x) 3) 1/3)
(tanh.f64 x)
(pow.f64 (cbrt.f64 (tanh.f64 x)) 3)
(tanh.f64 x)
(pow.f64 (sqrt.f64 (tanh.f64 x)) 2)
(tanh.f64 x)
(sqrt.f64 (pow.f64 (tanh.f64 x) 2))
(tanh.f64 x)
(log.f64 (exp.f64 (tanh.f64 x)))
(tanh.f64 x)
(cbrt.f64 (pow.f64 (tanh.f64 x) 3))
(tanh.f64 x)
(expm1.f64 (log1p.f64 (tanh.f64 x)))
(tanh.f64 x)
(log1p.f64 (expm1.f64 (tanh.f64 x)))
(tanh.f64 x)
(exp.f64 (log.f64 (tanh.f64 x)))
(tanh.f64 x)

localize2.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
	0.0b	(tanh.f64 x)

Compiler

Compiled 4 to 2 computations (50% saved)

localize8.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (*.f64 -1/3 (pow.f64 x 3)) x)
✓	0.2b	(*.f64 -1/3 (pow.f64 x 3))

Compiler

Compiled 19 to 14 computations (26.3% saved)

series3.0ms (0.1%)

Counts

2 → 3

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	x	@	0	(*.f64 -1/3 (pow.f64 x 3))
1.0ms	x	@	inf	(*.f64 -1/3 (pow.f64 x 3))
1.0ms	x	@	inf	(+.f64 (*.f64 -1/3 (pow.f64 x 3)) x)
0.0ms	x	@	-inf	(*.f64 -1/3 (pow.f64 x 3))
0.0ms	x	@	-inf	(+.f64 (*.f64 -1/3 (pow.f64 x 3)) x)

rewrite72.0ms (1.9%)

Algorithm

1×	batch-egg-rewrite

Rules

744×	`pow1_binary64`
701×	`add-log-exp_binary64`
701×	`log1p-expm1-u_binary64`
701×	`expm1-log1p-u_binary64`
687×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	15
1	159	15
2	1912	15

Stop Event

1×	node limit

Counts

2 → 46

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 -1/3 (pow.f64 x 3))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 -1/3 (pow.f64 x 3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (cbrt.f64 -1/3)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sqrt.f64 -1/3) (pow.f64 x 3/2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 (pow.f64 x 3) 3) -1/27) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 x 6) 1/9))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 -1/3) (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (pow.f64 x 3) 3) -1/27))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 -1/3 (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 -1/3 (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 -1/3 (pow.f64 x 3))))))))

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (fma.f64 -1/3 (pow.f64 x 3) x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 (pow.f64 x 6) 1/9) (-.f64 (*.f64 -1/3 (pow.f64 x 3)) x)) (/.f64 (*.f64 x x) (-.f64 (*.f64 -1/3 (pow.f64 x 3)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 -1/3 (pow.f64 x 3) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 -1/3 (pow.f64 x 3) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 -1/3 (pow.f64 x 3) x)) (pow.f64 (cbrt.f64 (fma.f64 -1/3 (pow.f64 x 3) x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/3 (pow.f64 x 3) x)) 2) (cbrt.f64 (fma.f64 -1/3 (pow.f64 x 3) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 -1/3 (pow.f64 x 3) x)) (sqrt.f64 (fma.f64 -1/3 (pow.f64 x 3) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 x 3) (*.f64 (pow.f64 (pow.f64 x 3) 3) -1/27)) (/.f64 1 (+.f64 (*.f64 (pow.f64 x 6) 1/9) (*.f64 x (-.f64 x (*.f64 -1/3 (pow.f64 x 3)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (*.f64 (pow.f64 x 6) 1/9) (*.f64 x x)) (/.f64 1 (-.f64 (*.f64 -1/3 (pow.f64 x 3)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (*.f64 (pow.f64 x 6) 1/9) (*.f64 x (-.f64 x (*.f64 -1/3 (pow.f64 x 3))))) (+.f64 (pow.f64 x 3) (*.f64 (pow.f64 (pow.f64 x 3) 3) -1/27))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 (*.f64 -1/3 (pow.f64 x 3)) x) (-.f64 (*.f64 (pow.f64 x 6) 1/9) (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 x 3) (*.f64 (pow.f64 (pow.f64 x 3) 3) -1/27)) (+.f64 (*.f64 (pow.f64 x 6) 1/9) (*.f64 x (-.f64 x (*.f64 -1/3 (pow.f64 x 3))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 x 3) (*.f64 (pow.f64 (pow.f64 x 3) 3) -1/27)) (+.f64 (*.f64 x x) (-.f64 (*.f64 (pow.f64 x 6) 1/9) (*.f64 -1/3 (*.f64 (pow.f64 x 3) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (pow.f64 x 6) 1/9) (*.f64 x x)) (-.f64 (*.f64 -1/3 (pow.f64 x 3)) x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 x 3) (*.f64 (pow.f64 (pow.f64 x 3) 3) -1/27))) (neg.f64 (+.f64 (*.f64 (pow.f64 x 6) 1/9) (*.f64 x (-.f64 x (*.f64 -1/3 (pow.f64 x 3)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (*.f64 (pow.f64 x 6) 1/9) (*.f64 x x))) (neg.f64 (-.f64 (*.f64 -1/3 (pow.f64 x 3)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 x x) (*.f64 (pow.f64 x 6) 1/9)) (-.f64 x (*.f64 -1/3 (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 -1/3 (pow.f64 x 3) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 -1/3 (pow.f64 x 3) x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 -1/3 (pow.f64 x 3) x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 -1/3 (pow.f64 x 3) x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 -1/3 (pow.f64 x 3) x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 -1/3 (pow.f64 x 3) x)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 -1/3 (pow.f64 x 3) x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 -1/3 (pow.f64 x 3) x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 -1/3 (pow.f64 x 3) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 -1/3 (pow.f64 x 3) x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1/3 (pow.f64 x 3) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 x 3) -1/3 x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 x (*.f64 -1/3 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 -1/3 (pow.f64 x 3)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (*.f64 x (cbrt.f64 -1/3)) 2) (*.f64 x (cbrt.f64 -1/3)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (*.f64 -1/3 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (sqrt.f64 -1/3) (pow.f64 x 3/2)) (*.f64 (sqrt.f64 -1/3) (pow.f64 x 3/2)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 -1/3 (pow.f64 x 3)))))))

simplify71.0ms (1.9%)

Algorithm

1×	egg-herbie

Rules

619×	`fma-neg_binary64`
504×	`div-sub_binary64`
428×	`cancel-sign-sub-inv_binary64`
278×	`fma-def_binary64`
250×	`log-prod_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	110	795
1	280	698
2	928	592
3	4310	592

Stop Event

1×	node limit

Counts

49 → 60

Calls

Call 1

Inputs
x
(*.f64 -1/3 (pow.f64 x 3))
(*.f64 -1/3 (pow.f64 x 3))
(-.f64 (+.f64 1 (*.f64 -1/3 (pow.f64 x 3))) 1)
(pow.f64 (*.f64 -1/3 (pow.f64 x 3)) 1)
(pow.f64 (*.f64 x (cbrt.f64 -1/3)) 3)
(pow.f64 (*.f64 (sqrt.f64 -1/3) (pow.f64 x 3/2)) 2)
(pow.f64 (*.f64 (pow.f64 (pow.f64 x 3) 3) -1/27) 1/3)
(sqrt.f64 (*.f64 (pow.f64 x 6) 1/9))
(log.f64 (pow.f64 (exp.f64 -1/3) (pow.f64 x 3)))
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 x 3) 3) -1/27))
(expm1.f64 (log1p.f64 (*.f64 -1/3 (pow.f64 x 3))))
(log1p.f64 (expm1.f64 (*.f64 -1/3 (pow.f64 x 3))))
(exp.f64 (log.f64 (*.f64 -1/3 (pow.f64 x 3))))
(-.f64 (+.f64 1 (fma.f64 -1/3 (pow.f64 x 3) x)) 1)
(-.f64 (/.f64 (.f64 (pow.f64 x 6) 1/9) (-.f64 (.f64 -1/3 (pow.f64 x 3)) x)) (/.f64 (.f64 x x) (-.f64 (.f64 -1/3 (pow.f64 x 3)) x)))
(*.f64 (fma.f64 -1/3 (pow.f64 x 3) x) 1)
(*.f64 1 (fma.f64 -1/3 (pow.f64 x 3) x))
(*.f64 (cbrt.f64 (fma.f64 -1/3 (pow.f64 x 3) x)) (pow.f64 (cbrt.f64 (fma.f64 -1/3 (pow.f64 x 3) x)) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/3 (pow.f64 x 3) x)) 2) (cbrt.f64 (fma.f64 -1/3 (pow.f64 x 3) x)))
(*.f64 (sqrt.f64 (fma.f64 -1/3 (pow.f64 x 3) x)) (sqrt.f64 (fma.f64 -1/3 (pow.f64 x 3) x)))
(.f64 (+.f64 (pow.f64 x 3) (.f64 (pow.f64 (pow.f64 x 3) 3) -1/27)) (/.f64 1 (+.f64 (.f64 (pow.f64 x 6) 1/9) (.f64 x (-.f64 x (*.f64 -1/3 (pow.f64 x 3)))))))
(.f64 (-.f64 (.f64 (pow.f64 x 6) 1/9) (.f64 x x)) (/.f64 1 (-.f64 (.f64 -1/3 (pow.f64 x 3)) x)))
(/.f64 1 (/.f64 (+.f64 (.f64 (pow.f64 x 6) 1/9) (.f64 x (-.f64 x (.f64 -1/3 (pow.f64 x 3))))) (+.f64 (pow.f64 x 3) (.f64 (pow.f64 (pow.f64 x 3) 3) -1/27))))
(/.f64 1 (/.f64 (-.f64 (.f64 -1/3 (pow.f64 x 3)) x) (-.f64 (.f64 (pow.f64 x 6) 1/9) (*.f64 x x))))
(/.f64 (+.f64 (pow.f64 x 3) (.f64 (pow.f64 (pow.f64 x 3) 3) -1/27)) (+.f64 (.f64 (pow.f64 x 6) 1/9) (.f64 x (-.f64 x (.f64 -1/3 (pow.f64 x 3))))))
(/.f64 (+.f64 (pow.f64 x 3) (.f64 (pow.f64 (pow.f64 x 3) 3) -1/27)) (+.f64 (.f64 x x) (-.f64 (.f64 (pow.f64 x 6) 1/9) (.f64 -1/3 (*.f64 (pow.f64 x 3) x)))))
(/.f64 (-.f64 (.f64 (pow.f64 x 6) 1/9) (.f64 x x)) (-.f64 (*.f64 -1/3 (pow.f64 x 3)) x))
(/.f64 (neg.f64 (+.f64 (pow.f64 x 3) (.f64 (pow.f64 (pow.f64 x 3) 3) -1/27))) (neg.f64 (+.f64 (.f64 (pow.f64 x 6) 1/9) (.f64 x (-.f64 x (.f64 -1/3 (pow.f64 x 3)))))))
(/.f64 (neg.f64 (-.f64 (.f64 (pow.f64 x 6) 1/9) (.f64 x x))) (neg.f64 (-.f64 (*.f64 -1/3 (pow.f64 x 3)) x)))
(/.f64 (-.f64 (.f64 x x) (.f64 (pow.f64 x 6) 1/9)) (-.f64 x (*.f64 -1/3 (pow.f64 x 3))))
(pow.f64 (fma.f64 -1/3 (pow.f64 x 3) x) 1)
(pow.f64 (pow.f64 (fma.f64 -1/3 (pow.f64 x 3) x) 3) 1/3)
(pow.f64 (cbrt.f64 (fma.f64 -1/3 (pow.f64 x 3) x)) 3)
(pow.f64 (sqrt.f64 (fma.f64 -1/3 (pow.f64 x 3) x)) 2)
(sqrt.f64 (pow.f64 (fma.f64 -1/3 (pow.f64 x 3) x) 2))
(log.f64 (exp.f64 (fma.f64 -1/3 (pow.f64 x 3) x)))
(cbrt.f64 (pow.f64 (fma.f64 -1/3 (pow.f64 x 3) x) 3))
(expm1.f64 (log1p.f64 (fma.f64 -1/3 (pow.f64 x 3) x)))
(log1p.f64 (expm1.f64 (fma.f64 -1/3 (pow.f64 x 3) x)))
(exp.f64 (log.f64 (fma.f64 -1/3 (pow.f64 x 3) x)))
(fma.f64 -1/3 (pow.f64 x 3) x)
(fma.f64 (pow.f64 x 3) -1/3 x)
(fma.f64 1 x (*.f64 -1/3 (pow.f64 x 3)))
(fma.f64 1 (*.f64 -1/3 (pow.f64 x 3)) x)
(fma.f64 (pow.f64 (.f64 x (cbrt.f64 -1/3)) 2) (.f64 x (cbrt.f64 -1/3)) x)
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (*.f64 -1/3 (pow.f64 x 3)))
(fma.f64 (.f64 (sqrt.f64 -1/3) (pow.f64 x 3/2)) (.f64 (sqrt.f64 -1/3) (pow.f64 x 3/2)) x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 -1/3 (pow.f64 x 3)))

Outputs
x
(*.f64 -1/3 (pow.f64 x 3))
(*.f64 -1/3 (pow.f64 x 3))
(-.f64 (+.f64 1 (*.f64 -1/3 (pow.f64 x 3))) 1)
(*.f64 -1/3 (pow.f64 x 3))
(pow.f64 (*.f64 -1/3 (pow.f64 x 3)) 1)
(*.f64 -1/3 (pow.f64 x 3))
(pow.f64 (*.f64 x (cbrt.f64 -1/3)) 3)
(*.f64 -1/3 (pow.f64 x 3))
(pow.f64 (*.f64 (sqrt.f64 -1/3) (pow.f64 x 3/2)) 2)
(*.f64 -1/3 (pow.f64 x 3))
(pow.f64 (*.f64 (pow.f64 (pow.f64 x 3) 3) -1/27) 1/3)
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 x 3) 3) -1/27))
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 x 3/2) 6) -1/27))
(cbrt.f64 (.f64 (.f64 x (pow.f64 x 8)) -1/27))
(sqrt.f64 (*.f64 (pow.f64 x 6) 1/9))
(log.f64 (pow.f64 (exp.f64 -1/3) (pow.f64 x 3)))
(*.f64 -1/3 (pow.f64 x 3))
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 x 3) 3) -1/27))
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 x 3/2) 6) -1/27))
(cbrt.f64 (.f64 (.f64 x (pow.f64 x 8)) -1/27))
(expm1.f64 (log1p.f64 (*.f64 -1/3 (pow.f64 x 3))))
(*.f64 -1/3 (pow.f64 x 3))
(log1p.f64 (expm1.f64 (*.f64 -1/3 (pow.f64 x 3))))
(*.f64 -1/3 (pow.f64 x 3))
(exp.f64 (log.f64 (*.f64 -1/3 (pow.f64 x 3))))
(*.f64 -1/3 (pow.f64 x 3))
(-.f64 (+.f64 1 (fma.f64 -1/3 (pow.f64 x 3) x)) 1)
(+.f64 1 (-.f64 (fma.f64 -1/3 (pow.f64 x 3) x) 1))
(+.f64 (fma.f64 -1/3 (pow.f64 x 3) x) 0)
(fma.f64 -1/3 (pow.f64 x 3) x)
(-.f64 (/.f64 (.f64 (pow.f64 x 6) 1/9) (-.f64 (.f64 -1/3 (pow.f64 x 3)) x)) (/.f64 (.f64 x x) (-.f64 (.f64 -1/3 (pow.f64 x 3)) x)))
(/.f64 (-.f64 (.f64 (pow.f64 x 6) 1/9) (.f64 x x)) (fma.f64 -1/3 (pow.f64 x 3) (neg.f64 x)))
(/.f64 (fma.f64 (pow.f64 x 6) 1/9 (*.f64 x (neg.f64 x))) (fma.f64 -1/3 (pow.f64 x 3) (neg.f64 x)))
(/.f64 (fma.f64 x x (*.f64 (pow.f64 x 6) -1/9)) (fma.f64 (pow.f64 x 3) 1/3 x))
(/.f64 (fma.f64 (pow.f64 x 6) -1/9 (*.f64 x x)) (fma.f64 (pow.f64 x 3) 1/3 x))
(*.f64 (fma.f64 -1/3 (pow.f64 x 3) x) 1)
(+.f64 1 (-.f64 (fma.f64 -1/3 (pow.f64 x 3) x) 1))
(+.f64 (fma.f64 -1/3 (pow.f64 x 3) x) 0)
(fma.f64 -1/3 (pow.f64 x 3) x)
(*.f64 1 (fma.f64 -1/3 (pow.f64 x 3) x))
(+.f64 1 (-.f64 (fma.f64 -1/3 (pow.f64 x 3) x) 1))
(+.f64 (fma.f64 -1/3 (pow.f64 x 3) x) 0)
(fma.f64 -1/3 (pow.f64 x 3) x)
(*.f64 (cbrt.f64 (fma.f64 -1/3 (pow.f64 x 3) x)) (pow.f64 (cbrt.f64 (fma.f64 -1/3 (pow.f64 x 3) x)) 2))
(+.f64 1 (-.f64 (fma.f64 -1/3 (pow.f64 x 3) x) 1))
(+.f64 (fma.f64 -1/3 (pow.f64 x 3) x) 0)
(fma.f64 -1/3 (pow.f64 x 3) x)
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/3 (pow.f64 x 3) x)) 2) (cbrt.f64 (fma.f64 -1/3 (pow.f64 x 3) x)))
(+.f64 1 (-.f64 (fma.f64 -1/3 (pow.f64 x 3) x) 1))
(+.f64 (fma.f64 -1/3 (pow.f64 x 3) x) 0)
(fma.f64 -1/3 (pow.f64 x 3) x)
(*.f64 (sqrt.f64 (fma.f64 -1/3 (pow.f64 x 3) x)) (sqrt.f64 (fma.f64 -1/3 (pow.f64 x 3) x)))
(+.f64 1 (-.f64 (fma.f64 -1/3 (pow.f64 x 3) x) 1))
(+.f64 (fma.f64 -1/3 (pow.f64 x 3) x) 0)
(fma.f64 -1/3 (pow.f64 x 3) x)
(.f64 (+.f64 (pow.f64 x 3) (.f64 (pow.f64 (pow.f64 x 3) 3) -1/27)) (/.f64 1 (+.f64 (.f64 (pow.f64 x 6) 1/9) (.f64 x (-.f64 x (*.f64 -1/3 (pow.f64 x 3)))))))
(/.f64 (.f64 (+.f64 (pow.f64 x 3) (.f64 (pow.f64 (pow.f64 x 3) 3) -1/27)) 1) (fma.f64 (pow.f64 x 6) 1/9 (.f64 x (+.f64 x (.f64 1/3 (pow.f64 x 3))))))
(/.f64 (fma.f64 (pow.f64 (pow.f64 x 3) 3) -1/27 (pow.f64 x 3)) (fma.f64 (pow.f64 x 6) 1/9 (+.f64 (.f64 x x) (.f64 1/3 (pow.f64 x 4)))))
(/.f64 (fma.f64 (pow.f64 (pow.f64 x 3/2) 6) -1/27 (pow.f64 x 3)) (fma.f64 (pow.f64 x 6) 1/9 (fma.f64 1/3 (pow.f64 x 4) (*.f64 x x))))
(/.f64 (fma.f64 (.f64 x (pow.f64 x 8)) -1/27 (pow.f64 x 3)) (fma.f64 x x (fma.f64 1/3 (pow.f64 x 4) (.f64 (pow.f64 x 6) 1/9))))
(.f64 (-.f64 (.f64 (pow.f64 x 6) 1/9) (.f64 x x)) (/.f64 1 (-.f64 (.f64 -1/3 (pow.f64 x 3)) x)))
(/.f64 (-.f64 (.f64 (pow.f64 x 6) 1/9) (.f64 x x)) (fma.f64 -1/3 (pow.f64 x 3) (neg.f64 x)))
(/.f64 (fma.f64 (pow.f64 x 6) 1/9 (*.f64 x (neg.f64 x))) (fma.f64 -1/3 (pow.f64 x 3) (neg.f64 x)))
(/.f64 (fma.f64 x x (*.f64 (pow.f64 x 6) -1/9)) (fma.f64 (pow.f64 x 3) 1/3 x))
(/.f64 (fma.f64 (pow.f64 x 6) -1/9 (*.f64 x x)) (fma.f64 (pow.f64 x 3) 1/3 x))
(/.f64 1 (/.f64 (+.f64 (.f64 (pow.f64 x 6) 1/9) (.f64 x (-.f64 x (.f64 -1/3 (pow.f64 x 3))))) (+.f64 (pow.f64 x 3) (.f64 (pow.f64 (pow.f64 x 3) 3) -1/27))))
(/.f64 (.f64 (+.f64 (pow.f64 x 3) (.f64 (pow.f64 (pow.f64 x 3) 3) -1/27)) 1) (fma.f64 (pow.f64 x 6) 1/9 (.f64 x (+.f64 x (.f64 1/3 (pow.f64 x 3))))))
(/.f64 (fma.f64 (pow.f64 (pow.f64 x 3) 3) -1/27 (pow.f64 x 3)) (fma.f64 (pow.f64 x 6) 1/9 (+.f64 (.f64 x x) (.f64 1/3 (pow.f64 x 4)))))
(/.f64 (fma.f64 (pow.f64 (pow.f64 x 3/2) 6) -1/27 (pow.f64 x 3)) (fma.f64 (pow.f64 x 6) 1/9 (fma.f64 1/3 (pow.f64 x 4) (*.f64 x x))))
(/.f64 (fma.f64 (.f64 x (pow.f64 x 8)) -1/27 (pow.f64 x 3)) (fma.f64 x x (fma.f64 1/3 (pow.f64 x 4) (.f64 (pow.f64 x 6) 1/9))))
(/.f64 1 (/.f64 (-.f64 (.f64 -1/3 (pow.f64 x 3)) x) (-.f64 (.f64 (pow.f64 x 6) 1/9) (*.f64 x x))))
(/.f64 (-.f64 (.f64 (pow.f64 x 6) 1/9) (.f64 x x)) (fma.f64 -1/3 (pow.f64 x 3) (neg.f64 x)))
(/.f64 (fma.f64 (pow.f64 x 6) 1/9 (*.f64 x (neg.f64 x))) (fma.f64 -1/3 (pow.f64 x 3) (neg.f64 x)))
(/.f64 (fma.f64 x x (*.f64 (pow.f64 x 6) -1/9)) (fma.f64 (pow.f64 x 3) 1/3 x))
(/.f64 (fma.f64 (pow.f64 x 6) -1/9 (*.f64 x x)) (fma.f64 (pow.f64 x 3) 1/3 x))
(/.f64 (+.f64 (pow.f64 x 3) (.f64 (pow.f64 (pow.f64 x 3) 3) -1/27)) (+.f64 (.f64 (pow.f64 x 6) 1/9) (.f64 x (-.f64 x (.f64 -1/3 (pow.f64 x 3))))))
(/.f64 (.f64 (+.f64 (pow.f64 x 3) (.f64 (pow.f64 (pow.f64 x 3) 3) -1/27)) 1) (fma.f64 (pow.f64 x 6) 1/9 (.f64 x (+.f64 x (.f64 1/3 (pow.f64 x 3))))))
(/.f64 (fma.f64 (pow.f64 (pow.f64 x 3) 3) -1/27 (pow.f64 x 3)) (fma.f64 (pow.f64 x 6) 1/9 (+.f64 (.f64 x x) (.f64 1/3 (pow.f64 x 4)))))
(/.f64 (fma.f64 (pow.f64 (pow.f64 x 3/2) 6) -1/27 (pow.f64 x 3)) (fma.f64 (pow.f64 x 6) 1/9 (fma.f64 1/3 (pow.f64 x 4) (*.f64 x x))))
(/.f64 (fma.f64 (.f64 x (pow.f64 x 8)) -1/27 (pow.f64 x 3)) (fma.f64 x x (fma.f64 1/3 (pow.f64 x 4) (.f64 (pow.f64 x 6) 1/9))))
(/.f64 (+.f64 (pow.f64 x 3) (.f64 (pow.f64 (pow.f64 x 3) 3) -1/27)) (+.f64 (.f64 x x) (-.f64 (.f64 (pow.f64 x 6) 1/9) (.f64 -1/3 (*.f64 (pow.f64 x 3) x)))))
(/.f64 (.f64 (+.f64 (pow.f64 x 3) (.f64 (pow.f64 (pow.f64 x 3) 3) -1/27)) 1) (fma.f64 (pow.f64 x 6) 1/9 (.f64 x (+.f64 x (.f64 1/3 (pow.f64 x 3))))))
(/.f64 (fma.f64 (pow.f64 (pow.f64 x 3) 3) -1/27 (pow.f64 x 3)) (fma.f64 (pow.f64 x 6) 1/9 (+.f64 (.f64 x x) (.f64 1/3 (pow.f64 x 4)))))
(/.f64 (fma.f64 (pow.f64 (pow.f64 x 3/2) 6) -1/27 (pow.f64 x 3)) (fma.f64 (pow.f64 x 6) 1/9 (fma.f64 1/3 (pow.f64 x 4) (*.f64 x x))))
(/.f64 (fma.f64 (.f64 x (pow.f64 x 8)) -1/27 (pow.f64 x 3)) (fma.f64 x x (fma.f64 1/3 (pow.f64 x 4) (.f64 (pow.f64 x 6) 1/9))))
(/.f64 (-.f64 (.f64 (pow.f64 x 6) 1/9) (.f64 x x)) (-.f64 (*.f64 -1/3 (pow.f64 x 3)) x))
(/.f64 (-.f64 (.f64 (pow.f64 x 6) 1/9) (.f64 x x)) (fma.f64 -1/3 (pow.f64 x 3) (neg.f64 x)))
(/.f64 (fma.f64 (pow.f64 x 6) 1/9 (*.f64 x (neg.f64 x))) (fma.f64 -1/3 (pow.f64 x 3) (neg.f64 x)))
(/.f64 (fma.f64 x x (*.f64 (pow.f64 x 6) -1/9)) (fma.f64 (pow.f64 x 3) 1/3 x))
(/.f64 (fma.f64 (pow.f64 x 6) -1/9 (*.f64 x x)) (fma.f64 (pow.f64 x 3) 1/3 x))
(/.f64 (neg.f64 (+.f64 (pow.f64 x 3) (.f64 (pow.f64 (pow.f64 x 3) 3) -1/27))) (neg.f64 (+.f64 (.f64 (pow.f64 x 6) 1/9) (.f64 x (-.f64 x (.f64 -1/3 (pow.f64 x 3)))))))
(/.f64 (.f64 (+.f64 (pow.f64 x 3) (.f64 (pow.f64 (pow.f64 x 3) 3) -1/27)) 1) (fma.f64 (pow.f64 x 6) 1/9 (.f64 x (+.f64 x (.f64 1/3 (pow.f64 x 3))))))
(/.f64 (fma.f64 (pow.f64 (pow.f64 x 3) 3) -1/27 (pow.f64 x 3)) (fma.f64 (pow.f64 x 6) 1/9 (+.f64 (.f64 x x) (.f64 1/3 (pow.f64 x 4)))))
(/.f64 (fma.f64 (pow.f64 (pow.f64 x 3/2) 6) -1/27 (pow.f64 x 3)) (fma.f64 (pow.f64 x 6) 1/9 (fma.f64 1/3 (pow.f64 x 4) (*.f64 x x))))
(/.f64 (fma.f64 (.f64 x (pow.f64 x 8)) -1/27 (pow.f64 x 3)) (fma.f64 x x (fma.f64 1/3 (pow.f64 x 4) (.f64 (pow.f64 x 6) 1/9))))
(/.f64 (neg.f64 (-.f64 (.f64 (pow.f64 x 6) 1/9) (.f64 x x))) (neg.f64 (-.f64 (*.f64 -1/3 (pow.f64 x 3)) x)))
(/.f64 (-.f64 (.f64 (pow.f64 x 6) 1/9) (.f64 x x)) (fma.f64 -1/3 (pow.f64 x 3) (neg.f64 x)))
(/.f64 (fma.f64 (pow.f64 x 6) 1/9 (*.f64 x (neg.f64 x))) (fma.f64 -1/3 (pow.f64 x 3) (neg.f64 x)))
(/.f64 (fma.f64 x x (*.f64 (pow.f64 x 6) -1/9)) (fma.f64 (pow.f64 x 3) 1/3 x))
(/.f64 (fma.f64 (pow.f64 x 6) -1/9 (*.f64 x x)) (fma.f64 (pow.f64 x 3) 1/3 x))
(/.f64 (-.f64 (.f64 x x) (.f64 (pow.f64 x 6) 1/9)) (-.f64 x (*.f64 -1/3 (pow.f64 x 3))))
(/.f64 (-.f64 (.f64 (pow.f64 x 6) 1/9) (.f64 x x)) (fma.f64 -1/3 (pow.f64 x 3) (neg.f64 x)))
(/.f64 (fma.f64 (pow.f64 x 6) 1/9 (*.f64 x (neg.f64 x))) (fma.f64 -1/3 (pow.f64 x 3) (neg.f64 x)))
(/.f64 (fma.f64 x x (*.f64 (pow.f64 x 6) -1/9)) (fma.f64 (pow.f64 x 3) 1/3 x))
(/.f64 (fma.f64 (pow.f64 x 6) -1/9 (*.f64 x x)) (fma.f64 (pow.f64 x 3) 1/3 x))
(pow.f64 (fma.f64 -1/3 (pow.f64 x 3) x) 1)
(+.f64 1 (-.f64 (fma.f64 -1/3 (pow.f64 x 3) x) 1))
(+.f64 (fma.f64 -1/3 (pow.f64 x 3) x) 0)
(fma.f64 -1/3 (pow.f64 x 3) x)
(pow.f64 (pow.f64 (fma.f64 -1/3 (pow.f64 x 3) x) 3) 1/3)
(+.f64 1 (-.f64 (fma.f64 -1/3 (pow.f64 x 3) x) 1))
(+.f64 (fma.f64 -1/3 (pow.f64 x 3) x) 0)
(fma.f64 -1/3 (pow.f64 x 3) x)
(pow.f64 (cbrt.f64 (fma.f64 -1/3 (pow.f64 x 3) x)) 3)
(+.f64 1 (-.f64 (fma.f64 -1/3 (pow.f64 x 3) x) 1))
(+.f64 (fma.f64 -1/3 (pow.f64 x 3) x) 0)
(fma.f64 -1/3 (pow.f64 x 3) x)
(pow.f64 (sqrt.f64 (fma.f64 -1/3 (pow.f64 x 3) x)) 2)
(+.f64 1 (-.f64 (fma.f64 -1/3 (pow.f64 x 3) x) 1))
(+.f64 (fma.f64 -1/3 (pow.f64 x 3) x) 0)
(fma.f64 -1/3 (pow.f64 x 3) x)
(sqrt.f64 (pow.f64 (fma.f64 -1/3 (pow.f64 x 3) x) 2))
(+.f64 1 (-.f64 (fma.f64 -1/3 (pow.f64 x 3) x) 1))
(+.f64 (fma.f64 -1/3 (pow.f64 x 3) x) 0)
(fma.f64 -1/3 (pow.f64 x 3) x)
(log.f64 (exp.f64 (fma.f64 -1/3 (pow.f64 x 3) x)))
(+.f64 1 (-.f64 (fma.f64 -1/3 (pow.f64 x 3) x) 1))
(+.f64 (fma.f64 -1/3 (pow.f64 x 3) x) 0)
(fma.f64 -1/3 (pow.f64 x 3) x)
(cbrt.f64 (pow.f64 (fma.f64 -1/3 (pow.f64 x 3) x) 3))
(+.f64 1 (-.f64 (fma.f64 -1/3 (pow.f64 x 3) x) 1))
(+.f64 (fma.f64 -1/3 (pow.f64 x 3) x) 0)
(fma.f64 -1/3 (pow.f64 x 3) x)
(expm1.f64 (log1p.f64 (fma.f64 -1/3 (pow.f64 x 3) x)))
(+.f64 1 (-.f64 (fma.f64 -1/3 (pow.f64 x 3) x) 1))
(+.f64 (fma.f64 -1/3 (pow.f64 x 3) x) 0)
(fma.f64 -1/3 (pow.f64 x 3) x)
(log1p.f64 (expm1.f64 (fma.f64 -1/3 (pow.f64 x 3) x)))
(+.f64 1 (-.f64 (fma.f64 -1/3 (pow.f64 x 3) x) 1))
(+.f64 (fma.f64 -1/3 (pow.f64 x 3) x) 0)
(fma.f64 -1/3 (pow.f64 x 3) x)
(exp.f64 (log.f64 (fma.f64 -1/3 (pow.f64 x 3) x)))
(+.f64 1 (-.f64 (fma.f64 -1/3 (pow.f64 x 3) x) 1))
(+.f64 (fma.f64 -1/3 (pow.f64 x 3) x) 0)
(fma.f64 -1/3 (pow.f64 x 3) x)
(fma.f64 -1/3 (pow.f64 x 3) x)
(+.f64 1 (-.f64 (fma.f64 -1/3 (pow.f64 x 3) x) 1))
(+.f64 (fma.f64 -1/3 (pow.f64 x 3) x) 0)
(fma.f64 (pow.f64 x 3) -1/3 x)
(+.f64 1 (-.f64 (fma.f64 -1/3 (pow.f64 x 3) x) 1))
(+.f64 (fma.f64 -1/3 (pow.f64 x 3) x) 0)
(fma.f64 -1/3 (pow.f64 x 3) x)
(fma.f64 1 x (*.f64 -1/3 (pow.f64 x 3)))
(+.f64 1 (-.f64 (fma.f64 -1/3 (pow.f64 x 3) x) 1))
(+.f64 (fma.f64 -1/3 (pow.f64 x 3) x) 0)
(fma.f64 -1/3 (pow.f64 x 3) x)
(fma.f64 1 (*.f64 -1/3 (pow.f64 x 3)) x)
(+.f64 1 (-.f64 (fma.f64 -1/3 (pow.f64 x 3) x) 1))
(+.f64 (fma.f64 -1/3 (pow.f64 x 3) x) 0)
(fma.f64 -1/3 (pow.f64 x 3) x)
(fma.f64 (pow.f64 (.f64 x (cbrt.f64 -1/3)) 2) (.f64 x (cbrt.f64 -1/3)) x)
(+.f64 1 (-.f64 (fma.f64 -1/3 (pow.f64 x 3) x) 1))
(+.f64 (fma.f64 -1/3 (pow.f64 x 3) x) 0)
(fma.f64 -1/3 (pow.f64 x 3) x)
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (*.f64 -1/3 (pow.f64 x 3)))
(+.f64 1 (-.f64 (fma.f64 -1/3 (pow.f64 x 3) x) 1))
(+.f64 (fma.f64 -1/3 (pow.f64 x 3) x) 0)
(fma.f64 -1/3 (pow.f64 x 3) x)
(fma.f64 (.f64 (sqrt.f64 -1/3) (pow.f64 x 3/2)) (.f64 (sqrt.f64 -1/3) (pow.f64 x 3/2)) x)
(+.f64 1 (-.f64 (fma.f64 -1/3 (pow.f64 x 3) x) 1))
(+.f64 (fma.f64 -1/3 (pow.f64 x 3) x) 0)
(fma.f64 -1/3 (pow.f64 x 3) x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 -1/3 (pow.f64 x 3)))
(+.f64 1 (-.f64 (fma.f64 -1/3 (pow.f64 x 3) x) 1))
(+.f64 (fma.f64 -1/3 (pow.f64 x 3) x) 0)
(fma.f64 -1/3 (pow.f64 x 3) x)

localize16.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (*.f64 2/15 (pow.f64 x 5)) x)
✓	0.0b	(+.f64 (.f64 -1/3 (pow.f64 x 3)) (+.f64 (.f64 2/15 (pow.f64 x 5)) x))
✓	0.1b	(*.f64 2/15 (pow.f64 x 5))
	0.2b	(*.f64 -1/3 (pow.f64 x 3))

Compiler

Compiled 42 to 32 computations (23.8% saved)

series4.0ms (0.1%)

Counts

3 → 19

Calls

9 calls:

Time	Variable		Point	Expression
1.0ms	x	@	0	(*.f64 2/15 (pow.f64 x 5))
1.0ms	x	@	inf	(*.f64 2/15 (pow.f64 x 5))
0.0ms	x	@	-inf	(*.f64 2/15 (pow.f64 x 5))
0.0ms	x	@	inf	(+.f64 (.f64 -1/3 (pow.f64 x 3)) (+.f64 (.f64 2/15 (pow.f64 x 5)) x))
0.0ms	x	@	inf	(+.f64 (*.f64 2/15 (pow.f64 x 5)) x)

rewrite67.0ms (1.8%)

Algorithm

1×	batch-egg-rewrite

Rules

556×	`log-prod_binary64`
547×	`fma-def_binary64`
332×	`pow2_binary64`
319×	`fma-neg_binary64`
228×	`expm1-udef_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	30
1	279	30
2	3517	30

Stop Event

1×	node limit

Counts

3 → 158

Calls

Call 1

Inputs
(*.f64 2/15 (pow.f64 x 5))
(+.f64 (.f64 -1/3 (pow.f64 x 3)) (+.f64 (.f64 2/15 (pow.f64 x 5)) x))
(+.f64 (*.f64 2/15 (pow.f64 x 5)) x)

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 2/15 (pow.f64 x 5)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 2/15) (pow.f64 x 5))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 2/15) (pow.f64 x 5)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 2/15) (pow.f64 x 5)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 2/15) (pow.f64 x 5)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 2/15 (pow.f64 x 5)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 2/15 (pow.f64 x 5)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 x 10) 4/225) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 2/15 (pow.f64 x 5))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sqrt.f64 2/15) (pow.f64 x 5/2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 x 15) 8/3375) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 x 10) 4/225))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 2/15) (pow.f64 x 5)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 2/15 (pow.f64 x 5)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 x 15) 8/3375))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 2/15 (pow.f64 x 5))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 2/15 (pow.f64 x 5))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (fma.f64 5 (log.f64 x) (log1p.f64 -13/15)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (fma.f64 5 (log.f64 x) (log1p.f64 -13/15)) 1))))))

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 -1/3 (pow.f64 x 3) (fma.f64 2/15 (pow.f64 x 5) x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 (pow.f64 x 6) 1/9) (-.f64 (*.f64 -1/3 (pow.f64 x 3)) (fma.f64 2/15 (pow.f64 x 5) x))) (/.f64 (pow.f64 (fma.f64 2/15 (pow.f64 x 5) x) 2) (-.f64 (*.f64 -1/3 (pow.f64 x 3)) (fma.f64 2/15 (pow.f64 x 5) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 -1/3 (pow.f64 x 3) (fma.f64 2/15 (pow.f64 x 5) x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 -1/3 (pow.f64 x 3) (fma.f64 2/15 (pow.f64 x 5) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 -1/3 (pow.f64 x 3) (fma.f64 2/15 (pow.f64 x 5) x))) (pow.f64 (cbrt.f64 (fma.f64 -1/3 (pow.f64 x 3) (fma.f64 2/15 (pow.f64 x 5) x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/3 (pow.f64 x 3) (fma.f64 2/15 (pow.f64 x 5) x))) 2) (cbrt.f64 (fma.f64 -1/3 (pow.f64 x 3) (fma.f64 2/15 (pow.f64 x 5) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 -1/3 (pow.f64 x 3) (fma.f64 2/15 (pow.f64 x 5) x))) (sqrt.f64 (fma.f64 -1/3 (pow.f64 x 3) (fma.f64 2/15 (pow.f64 x 5) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 (pow.f64 x 9) -1/27 (pow.f64 (fma.f64 2/15 (pow.f64 x 5) x) 3)) (/.f64 1 (fma.f64 (fma.f64 2/15 (pow.f64 x 5) x) (-.f64 (fma.f64 2/15 (pow.f64 x 5) x) (*.f64 -1/3 (pow.f64 x 3))) (*.f64 (pow.f64 x 6) 1/9))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (*.f64 (pow.f64 x 6) 1/9) (pow.f64 (fma.f64 2/15 (pow.f64 x 5) x) 2)) (/.f64 1 (-.f64 (*.f64 -1/3 (pow.f64 x 3)) (fma.f64 2/15 (pow.f64 x 5) x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 (fma.f64 2/15 (pow.f64 x 5) x) (-.f64 (fma.f64 2/15 (pow.f64 x 5) x) (*.f64 -1/3 (pow.f64 x 3))) (*.f64 (pow.f64 x 6) 1/9)) (fma.f64 (pow.f64 x 9) -1/27 (pow.f64 (fma.f64 2/15 (pow.f64 x 5) x) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 (*.f64 -1/3 (pow.f64 x 3)) (fma.f64 2/15 (pow.f64 x 5) x)) (-.f64 (*.f64 (pow.f64 x 6) 1/9) (pow.f64 (fma.f64 2/15 (pow.f64 x 5) x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 (pow.f64 x 9) -1/27 (pow.f64 (fma.f64 2/15 (pow.f64 x 5) x) 3)) (fma.f64 (fma.f64 2/15 (pow.f64 x 5) x) (-.f64 (fma.f64 2/15 (pow.f64 x 5) x) (*.f64 -1/3 (pow.f64 x 3))) (*.f64 (pow.f64 x 6) 1/9)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 (pow.f64 x 9) -1/27 (pow.f64 (fma.f64 2/15 (pow.f64 x 5) x) 3)) (+.f64 (pow.f64 (fma.f64 2/15 (pow.f64 x 5) x) 2) (-.f64 (*.f64 (pow.f64 x 6) 1/9) (*.f64 -1/3 (*.f64 (pow.f64 x 3) (fma.f64 2/15 (pow.f64 x 5) x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (pow.f64 x 6) 1/9) (pow.f64 (fma.f64 2/15 (pow.f64 x 5) x) 2)) (-.f64 (*.f64 -1/3 (pow.f64 x 3)) (fma.f64 2/15 (pow.f64 x 5) x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (fma.f64 (pow.f64 x 9) -1/27 (pow.f64 (fma.f64 2/15 (pow.f64 x 5) x) 3))) (neg.f64 (fma.f64 (fma.f64 2/15 (pow.f64 x 5) x) (-.f64 (fma.f64 2/15 (pow.f64 x 5) x) (*.f64 -1/3 (pow.f64 x 3))) (*.f64 (pow.f64 x 6) 1/9))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (*.f64 (pow.f64 x 6) 1/9) (pow.f64 (fma.f64 2/15 (pow.f64 x 5) x) 2))) (neg.f64 (-.f64 (*.f64 -1/3 (pow.f64 x 3)) (fma.f64 2/15 (pow.f64 x 5) x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (fma.f64 2/15 (pow.f64 x 5) (*.f64 -1/3 (pow.f64 x 3))) 3) (pow.f64 x 3)) (+.f64 (pow.f64 (fma.f64 2/15 (pow.f64 x 5) (*.f64 -1/3 (pow.f64 x 3))) 2) (-.f64 (*.f64 x x) (*.f64 (fma.f64 2/15 (pow.f64 x 5) (*.f64 -1/3 (pow.f64 x 3))) x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (fma.f64 2/15 (pow.f64 x 5) x) 2) (*.f64 (pow.f64 x 6) 1/9)) (-.f64 (fma.f64 2/15 (pow.f64 x 5) x) (*.f64 -1/3 (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (fma.f64 2/15 (pow.f64 x 5) (*.f64 -1/3 (pow.f64 x 3))) 2) (*.f64 x x)) (-.f64 (fma.f64 2/15 (pow.f64 x 5) (*.f64 -1/3 (pow.f64 x 3))) x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 -1/3 (pow.f64 x 3) (fma.f64 2/15 (pow.f64 x 5) x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 -1/3 (pow.f64 x 3) (fma.f64 2/15 (pow.f64 x 5) x)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 -1/3 (pow.f64 x 3) (fma.f64 2/15 (pow.f64 x 5) x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 -1/3 (pow.f64 x 3) (fma.f64 2/15 (pow.f64 x 5) x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 -1/3 (pow.f64 x 3) (fma.f64 2/15 (pow.f64 x 5) x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 (fma.f64 2/15 (pow.f64 x 5) x) (-.f64 (fma.f64 2/15 (pow.f64 x 5) x) (*.f64 -1/3 (pow.f64 x 3))) (*.f64 (pow.f64 x 6) 1/9)) (fma.f64 (pow.f64 x 9) -1/27 (pow.f64 (fma.f64 2/15 (pow.f64 x 5) x) 3))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (-.f64 (*.f64 -1/3 (pow.f64 x 3)) (fma.f64 2/15 (pow.f64 x 5) x)) (-.f64 (*.f64 (pow.f64 x 6) 1/9) (pow.f64 (fma.f64 2/15 (pow.f64 x 5) x) 2))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 -1/3 (pow.f64 x 3) (fma.f64 2/15 (pow.f64 x 5) x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 -1/3 (pow.f64 x 3) (fma.f64 2/15 (pow.f64 x 5) x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 -1/3 (pow.f64 x 3) (fma.f64 2/15 (pow.f64 x 5) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 x) (exp.f64 (fma.f64 2/15 (pow.f64 x 5) (*.f64 -1/3 (pow.f64 x 3))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 x)) (exp.f64 (fma.f64 2/15 (pow.f64 x 5) (*.f64 -1/3 (pow.f64 x 3))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 x) (*.f64 (pow.f64 (exp.f64 -1/3) (pow.f64 x 3)) (pow.f64 (exp.f64 2/15) (pow.f64 x 5)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 x)) (*.f64 (pow.f64 (exp.f64 -1/3) (pow.f64 x 3)) (pow.f64 (exp.f64 2/15) (pow.f64 x 5)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 -1/3 (pow.f64 x 3)))) (exp.f64 (fma.f64 2/15 (pow.f64 x 5) x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (pow.f64 (exp.f64 -1/3) (pow.f64 x 3)) (+.f64 1 (expm1.f64 (fma.f64 2/15 (pow.f64 x 5) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 -1/3 (pow.f64 x 3)))) (+.f64 1 (expm1.f64 (fma.f64 2/15 (pow.f64 x 5) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (fma.f64 2/15 (pow.f64 x 5) x))) (pow.f64 (exp.f64 -1/3) (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 (fma.f64 2/15 (pow.f64 x 5) x)) (+.f64 1 (expm1.f64 (*.f64 -1/3 (pow.f64 x 3))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (fma.f64 2/15 (pow.f64 x 5) x))) (+.f64 1 (expm1.f64 (*.f64 -1/3 (pow.f64 x 3))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (*.f64 (pow.f64 (exp.f64 -1/3) (pow.f64 x 3)) (pow.f64 (exp.f64 2/15) (pow.f64 x 5))) (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 (fma.f64 2/15 (pow.f64 x 5) (*.f64 -1/3 (pow.f64 x 3)))) (+.f64 1 (expm1.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (*.f64 (pow.f64 (exp.f64 -1/3) (pow.f64 x 3)) (pow.f64 (exp.f64 2/15) (pow.f64 x 5))) (+.f64 1 (expm1.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 -1/3 (pow.f64 x 3) (fma.f64 2/15 (pow.f64 x 5) x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 -1/3 (pow.f64 x 3) (fma.f64 2/15 (pow.f64 x 5) x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 -1/3 (pow.f64 x 3) (fma.f64 2/15 (pow.f64 x 5) x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 -1/3 (pow.f64 x 3) (fma.f64 2/15 (pow.f64 x 5) x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 -1/3 (pow.f64 x 3) (fma.f64 2/15 (pow.f64 x 5) x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 2/15 (pow.f64 x 5) (+.f64 x (*.f64 -1/3 (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x 1 (fma.f64 2/15 (pow.f64 x 5) (*.f64 -1/3 (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x (*.f64 (*.f64 x x) -1/3) (fma.f64 2/15 (pow.f64 x 5) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 x 5) 2/15 (+.f64 x (*.f64 -1/3 (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 2/15 (pow.f64 x 5)) 1 (+.f64 x (*.f64 -1/3 (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1/3 (pow.f64 x 3) (fma.f64 2/15 (pow.f64 x 5) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 x 3) -1/3 (fma.f64 2/15 (pow.f64 x 5) x))))) (#(struct:change 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((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 2/15 (pow.f64 x 5) x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 (pow.f64 x 10) 4/225) (fma.f64 2/15 (pow.f64 x 5) (neg.f64 x))) (/.f64 (*.f64 x x) (fma.f64 2/15 (pow.f64 x 5) (neg.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 2/15 (pow.f64 x 5) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 2/15 (pow.f64 x 5) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 2/15 (pow.f64 x 5) x)) (pow.f64 (cbrt.f64 (fma.f64 2/15 (pow.f64 x 5) x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 2/15 (pow.f64 x 5) x)) 2) (cbrt.f64 (fma.f64 2/15 (pow.f64 x 5) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 2/15 (pow.f64 x 5) x)) (sqrt.f64 (fma.f64 2/15 (pow.f64 x 5) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 (pow.f64 x 15) 8/3375 (pow.f64 x 3)) (/.f64 1 (fma.f64 x 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simplify68.0ms (1.8%)

Algorithm

1×	egg-herbie

Rules

456×	`unswap-sqr_binary64`
373×	`cancel-sign-sub-inv_binary64`
283×	`associate-/l*_binary64`
252×	`times-frac_binary64`
237×	`fma-neg_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	345	3097
1	841	3031
2	2644	2860

Stop Event

1×	node limit

Counts

177 → 196

Calls

Call 1

Inputs
x
(+.f64 (*.f64 -1/3 (pow.f64 x 3)) x)
(*.f64 2/15 (pow.f64 x 5))
(+.f64 (.f64 -1/3 (pow.f64 x 3)) (.f64 2/15 (pow.f64 x 5)))
(+.f64 (.f64 -1/3 (pow.f64 x 3)) (+.f64 x (.f64 2/15 (pow.f64 x 5))))
(+.f64 (.f64 -1/3 (pow.f64 x 3)) (+.f64 x (.f64 2/15 (pow.f64 x 5))))
(*.f64 2/15 (pow.f64 x 5))
(+.f64 (.f64 -1/3 (pow.f64 x 3)) (.f64 2/15 (pow.f64 x 5)))
(+.f64 (.f64 -1/3 (pow.f64 x 3)) (+.f64 x (.f64 2/15 (pow.f64 x 5))))
(+.f64 (.f64 -1/3 (pow.f64 x 3)) (+.f64 x (.f64 2/15 (pow.f64 x 5))))
x
(*.f64 2/15 (pow.f64 x 5))
(+.f64 x (*.f64 2/15 (pow.f64 x 5)))
(+.f64 x (*.f64 2/15 (pow.f64 x 5)))
(+.f64 x (*.f64 2/15 (pow.f64 x 5)))
(*.f64 2/15 (pow.f64 x 5))
(+.f64 x (*.f64 2/15 (pow.f64 x 5)))
(+.f64 x (*.f64 2/15 (pow.f64 x 5)))
(+.f64 x (*.f64 2/15 (pow.f64 x 5)))
(+.f64 0 (*.f64 2/15 (pow.f64 x 5)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 2/15) (pow.f64 x 5))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 2/15) (pow.f64 x 5)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 2/15) (pow.f64 x 5)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 2/15) (pow.f64 x 5)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 2/15 (pow.f64 x 5)))) 1)
(pow.f64 (*.f64 2/15 (pow.f64 x 5)) 1)
(pow.f64 (*.f64 (pow.f64 x 10) 4/225) 1/2)
(pow.f64 (cbrt.f64 (*.f64 2/15 (pow.f64 x 5))) 3)
(pow.f64 (*.f64 (sqrt.f64 2/15) (pow.f64 x 5/2)) 2)
(pow.f64 (*.f64 (pow.f64 x 15) 8/3375) 1/3)
(sqrt.f64 (*.f64 (pow.f64 x 10) 4/225))
(log.f64 (pow.f64 (exp.f64 2/15) (pow.f64 x 5)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 2/15 (pow.f64 x 5)))))
(cbrt.f64 (*.f64 (pow.f64 x 15) 8/3375))
(expm1.f64 (log1p.f64 (*.f64 2/15 (pow.f64 x 5))))
(log1p.f64 (expm1.f64 (*.f64 2/15 (pow.f64 x 5))))
(exp.f64 (fma.f64 5 (log.f64 x) (log1p.f64 -13/15)))
(exp.f64 (*.f64 (fma.f64 5 (log.f64 x) (log1p.f64 -13/15)) 1))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 -1/3 (pow.f64 x 3) (fma.f64 2/15 (pow.f64 x 5) x)))) 1)
(-.f64 (/.f64 (.f64 (pow.f64 x 6) 1/9) (-.f64 (.f64 -1/3 (pow.f64 x 3)) (fma.f64 2/15 (pow.f64 x 5) x))) (/.f64 (pow.f64 (fma.f64 2/15 (pow.f64 x 5) x) 2) (-.f64 (*.f64 -1/3 (pow.f64 x 3)) (fma.f64 2/15 (pow.f64 x 5) x))))
(*.f64 (fma.f64 -1/3 (pow.f64 x 3) (fma.f64 2/15 (pow.f64 x 5) x)) 1)
(*.f64 1 (fma.f64 -1/3 (pow.f64 x 3) (fma.f64 2/15 (pow.f64 x 5) x)))
(*.f64 (cbrt.f64 (fma.f64 -1/3 (pow.f64 x 3) (fma.f64 2/15 (pow.f64 x 5) x))) (pow.f64 (cbrt.f64 (fma.f64 -1/3 (pow.f64 x 3) (fma.f64 2/15 (pow.f64 x 5) x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/3 (pow.f64 x 3) (fma.f64 2/15 (pow.f64 x 5) x))) 2) (cbrt.f64 (fma.f64 -1/3 (pow.f64 x 3) (fma.f64 2/15 (pow.f64 x 5) x))))
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(fma.f64 (.f64 (sqrt.f64 2/15) (pow.f64 x 5/2)) (.f64 (sqrt.f64 2/15) (pow.f64 x 5/2)) x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 2/15 (pow.f64 x 5)))
(fma.f64 (pow.f64 x 5/2) (*.f64 (pow.f64 x 5/2) 2/15) x)
(fma.f64 (*.f64 2/15 (cbrt.f64 (pow.f64 x 10))) (pow.f64 (cbrt.f64 x) 5) x)
(fma.f64 (*.f64 2/15 (pow.f64 x 5/2)) (pow.f64 x 5/2) x)

Outputs
x
(+.f64 (*.f64 -1/3 (pow.f64 x 3)) x)
(fma.f64 -1/3 (pow.f64 x 3) x)
(*.f64 2/15 (pow.f64 x 5))
(+.f64 (.f64 -1/3 (pow.f64 x 3)) (.f64 2/15 (pow.f64 x 5)))
(fma.f64 -1/3 (pow.f64 x 3) (*.f64 2/15 (pow.f64 x 5)))
(+.f64 (.f64 -1/3 (pow.f64 x 3)) (+.f64 x (.f64 2/15 (pow.f64 x 5))))
(fma.f64 -1/3 (pow.f64 x 3) (fma.f64 2/15 (pow.f64 x 5) x))
(+.f64 (.f64 -1/3 (pow.f64 x 3)) (+.f64 x (.f64 2/15 (pow.f64 x 5))))
(fma.f64 -1/3 (pow.f64 x 3) (fma.f64 2/15 (pow.f64 x 5) x))
(*.f64 2/15 (pow.f64 x 5))
(+.f64 (.f64 -1/3 (pow.f64 x 3)) (.f64 2/15 (pow.f64 x 5)))
(fma.f64 -1/3 (pow.f64 x 3) (*.f64 2/15 (pow.f64 x 5)))
(+.f64 (.f64 -1/3 (pow.f64 x 3)) (+.f64 x (.f64 2/15 (pow.f64 x 5))))
(fma.f64 -1/3 (pow.f64 x 3) (fma.f64 2/15 (pow.f64 x 5) x))
(+.f64 (.f64 -1/3 (pow.f64 x 3)) (+.f64 x (.f64 2/15 (pow.f64 x 5))))
(fma.f64 -1/3 (pow.f64 x 3) (fma.f64 2/15 (pow.f64 x 5) x))
x
(*.f64 2/15 (pow.f64 x 5))
(+.f64 x (*.f64 2/15 (pow.f64 x 5)))
(fma.f64 2/15 (pow.f64 x 5) x)
(+.f64 x (*.f64 2/15 (pow.f64 x 5)))
(fma.f64 2/15 (pow.f64 x 5) x)
(+.f64 x (*.f64 2/15 (pow.f64 x 5)))
(fma.f64 2/15 (pow.f64 x 5) x)
(*.f64 2/15 (pow.f64 x 5))
(+.f64 x (*.f64 2/15 (pow.f64 x 5)))
(fma.f64 2/15 (pow.f64 x 5) x)
(+.f64 x (*.f64 2/15 (pow.f64 x 5)))
(fma.f64 2/15 (pow.f64 x 5) x)
(+.f64 x (*.f64 2/15 (pow.f64 x 5)))
(fma.f64 2/15 (pow.f64 x 5) x)
(+.f64 0 (*.f64 2/15 (pow.f64 x 5)))
(*.f64 2/15 (pow.f64 x 5))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 2/15) (pow.f64 x 5))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 2/15) (pow.f64 x 5)))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 2/15) (pow.f64 x 5))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 2/15) (pow.f64 x 5)))))
(*.f64 3 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 2/15) (pow.f64 x 5)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 2/15) (pow.f64 x 5)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 2/15) (pow.f64 x 5)))))
(*.f64 2/15 (pow.f64 x 5))
(-.f64 (exp.f64 (log1p.f64 (*.f64 2/15 (pow.f64 x 5)))) 1)
(*.f64 2/15 (pow.f64 x 5))
(pow.f64 (*.f64 2/15 (pow.f64 x 5)) 1)
(*.f64 2/15 (pow.f64 x 5))
(pow.f64 (*.f64 (pow.f64 x 10) 4/225) 1/2)
(sqrt.f64 (*.f64 (pow.f64 x 10) 4/225))
(pow.f64 (cbrt.f64 (*.f64 2/15 (pow.f64 x 5))) 3)
(*.f64 2/15 (pow.f64 x 5))
(pow.f64 (*.f64 (sqrt.f64 2/15) (pow.f64 x 5/2)) 2)
(*.f64 2/15 (pow.f64 x 5))
(pow.f64 (*.f64 (pow.f64 x 15) 8/3375) 1/3)
(cbrt.f64 (*.f64 (pow.f64 x 15) 8/3375))
(sqrt.f64 (*.f64 (pow.f64 x 10) 4/225))
(log.f64 (pow.f64 (exp.f64 2/15) (pow.f64 x 5)))
(*.f64 2/15 (pow.f64 x 5))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 2/15 (pow.f64 x 5)))))
(*.f64 2/15 (pow.f64 x 5))
(cbrt.f64 (*.f64 (pow.f64 x 15) 8/3375))
(expm1.f64 (log1p.f64 (*.f64 2/15 (pow.f64 x 5))))
(*.f64 2/15 (pow.f64 x 5))
(log1p.f64 (expm1.f64 (*.f64 2/15 (pow.f64 x 5))))
(*.f64 2/15 (pow.f64 x 5))
(exp.f64 (fma.f64 5 (log.f64 x) (log1p.f64 -13/15)))
(*.f64 (pow.f64 x 5) (exp.f64 (log1p.f64 -13/15)))
(exp.f64 (*.f64 (fma.f64 5 (log.f64 x) (log1p.f64 -13/15)) 1))
(exp.f64 (fma.f64 5 (log.f64 x) (log1p.f64 -13/15)))
(*.f64 (pow.f64 x 5) (exp.f64 (log1p.f64 -13/15)))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 -1/3 (pow.f64 x 3) (fma.f64 2/15 (pow.f64 x 5) x)))) 1)
(fma.f64 -1/3 (pow.f64 x 3) (fma.f64 2/15 (pow.f64 x 5) x))
(-.f64 (/.f64 (.f64 (pow.f64 x 6) 1/9) (-.f64 (.f64 -1/3 (pow.f64 x 3)) (fma.f64 2/15 (pow.f64 x 5) x))) (/.f64 (pow.f64 (fma.f64 2/15 (pow.f64 x 5) x) 2) (-.f64 (*.f64 -1/3 (pow.f64 x 3)) (fma.f64 2/15 (pow.f64 x 5) x))))
(/.f64 (-.f64 (.f64 (pow.f64 x 6) 1/9) (pow.f64 (fma.f64 2/15 (pow.f64 x 5) x) 2)) (-.f64 (.f64 -1/3 (pow.f64 x 3)) (fma.f64 2/15 (pow.f64 x 5) x)))
(/.f64 (fma.f64 (pow.f64 x 6) -1/9 (pow.f64 (fma.f64 2/15 (pow.f64 x 5) x) 2)) (fma.f64 (pow.f64 x 3) 1/3 (fma.f64 2/15 (pow.f64 x 5) x)))
(*.f64 (fma.f64 -1/3 (pow.f64 x 3) (fma.f64 2/15 (pow.f64 x 5) x)) 1)
(fma.f64 -1/3 (pow.f64 x 3) (fma.f64 2/15 (pow.f64 x 5) x))
(*.f64 1 (fma.f64 -1/3 (pow.f64 x 3) (fma.f64 2/15 (pow.f64 x 5) x)))
(fma.f64 -1/3 (pow.f64 x 3) (fma.f64 2/15 (pow.f64 x 5) x))
(*.f64 (cbrt.f64 (fma.f64 -1/3 (pow.f64 x 3) (fma.f64 2/15 (pow.f64 x 5) x))) (pow.f64 (cbrt.f64 (fma.f64 -1/3 (pow.f64 x 3) (fma.f64 2/15 (pow.f64 x 5) x))) 2))
(fma.f64 -1/3 (pow.f64 x 3) (fma.f64 2/15 (pow.f64 x 5) x))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/3 (pow.f64 x 3) (fma.f64 2/15 (pow.f64 x 5) x))) 2) (cbrt.f64 (fma.f64 -1/3 (pow.f64 x 3) (fma.f64 2/15 (pow.f64 x 5) x))))
(fma.f64 -1/3 (pow.f64 x 3) (fma.f64 2/15 (pow.f64 x 5) x))
(*.f64 (sqrt.f64 (fma.f64 -1/3 (pow.f64 x 3) (fma.f64 2/15 (pow.f64 x 5) x))) (sqrt.f64 (fma.f64 -1/3 (pow.f64 x 3) (fma.f64 2/15 (pow.f64 x 5) x))))
(fma.f64 -1/3 (pow.f64 x 3) (fma.f64 2/15 (pow.f64 x 5) x))
(.f64 (fma.f64 (pow.f64 x 9) -1/27 (pow.f64 (fma.f64 2/15 (pow.f64 x 5) x) 3)) (/.f64 1 (fma.f64 (fma.f64 2/15 (pow.f64 x 5) x) (-.f64 (fma.f64 2/15 (pow.f64 x 5) x) (.f64 -1/3 (pow.f64 x 3))) (*.f64 (pow.f64 x 6) 1/9))))
(/.f64 (.f64 (fma.f64 (pow.f64 x 9) -1/27 (pow.f64 (fma.f64 2/15 (pow.f64 x 5) x) 3)) 1) (fma.f64 (fma.f64 2/15 (pow.f64 x 5) x) (+.f64 (fma.f64 2/15 (pow.f64 x 5) x) (.f64 1/3 (pow.f64 x 3))) (*.f64 (pow.f64 x 6) 1/9)))
(/.f64 (fma.f64 (pow.f64 x 9) -1/27 (pow.f64 (fma.f64 2/15 (pow.f64 x 5) x) 3)) (fma.f64 (fma.f64 2/15 (pow.f64 x 5) x) (+.f64 (fma.f64 2/15 (pow.f64 x 5) x) (.f64 (pow.f64 x 3) 1/3)) (.f64 (pow.f64 x 6) 1/9)))
(/.f64 (fma.f64 (pow.f64 x 9) -1/27 (pow.f64 (fma.f64 2/15 (pow.f64 x 5) x) 3)) (fma.f64 (fma.f64 2/15 (pow.f64 x 5) x) (fma.f64 (pow.f64 x 3) 1/3 (fma.f64 2/15 (pow.f64 x 5) x)) (*.f64 (pow.f64 x 6) 1/9)))
(.f64 (-.f64 (.f64 (pow.f64 x 6) 1/9) (pow.f64 (fma.f64 2/15 (pow.f64 x 5) x) 2)) (/.f64 1 (-.f64 (*.f64 -1/3 (pow.f64 x 3)) (fma.f64 2/15 (pow.f64 x 5) x))))
(/.f64 (-.f64 (.f64 (pow.f64 x 6) 1/9) (pow.f64 (fma.f64 2/15 (pow.f64 x 5) x) 2)) (-.f64 (.f64 -1/3 (pow.f64 x 3)) (fma.f64 2/15 (pow.f64 x 5) x)))
(/.f64 (fma.f64 (pow.f64 x 6) -1/9 (pow.f64 (fma.f64 2/15 (pow.f64 x 5) x) 2)) (fma.f64 (pow.f64 x 3) 1/3 (fma.f64 2/15 (pow.f64 x 5) x)))
(/.f64 1 (/.f64 (fma.f64 (fma.f64 2/15 (pow.f64 x 5) x) (-.f64 (fma.f64 2/15 (pow.f64 x 5) x) (.f64 -1/3 (pow.f64 x 3))) (.f64 (pow.f64 x 6) 1/9)) (fma.f64 (pow.f64 x 9) -1/27 (pow.f64 (fma.f64 2/15 (pow.f64 x 5) x) 3))))
(/.f64 (.f64 (fma.f64 (pow.f64 x 9) -1/27 (pow.f64 (fma.f64 2/15 (pow.f64 x 5) x) 3)) 1) (fma.f64 (fma.f64 2/15 (pow.f64 x 5) x) (+.f64 (fma.f64 2/15 (pow.f64 x 5) x) (.f64 1/3 (pow.f64 x 3))) (*.f64 (pow.f64 x 6) 1/9)))
(/.f64 (fma.f64 (pow.f64 x 9) -1/27 (pow.f64 (fma.f64 2/15 (pow.f64 x 5) x) 3)) (fma.f64 (fma.f64 2/15 (pow.f64 x 5) x) (+.f64 (fma.f64 2/15 (pow.f64 x 5) x) (.f64 (pow.f64 x 3) 1/3)) (.f64 (pow.f64 x 6) 1/9)))
(/.f64 (fma.f64 (pow.f64 x 9) -1/27 (pow.f64 (fma.f64 2/15 (pow.f64 x 5) x) 3)) (fma.f64 (fma.f64 2/15 (pow.f64 x 5) x) (fma.f64 (pow.f64 x 3) 1/3 (fma.f64 2/15 (pow.f64 x 5) x)) (*.f64 (pow.f64 x 6) 1/9)))
(/.f64 1 (/.f64 (-.f64 (.f64 -1/3 (pow.f64 x 3)) (fma.f64 2/15 (pow.f64 x 5) x)) (-.f64 (.f64 (pow.f64 x 6) 1/9) (pow.f64 (fma.f64 2/15 (pow.f64 x 5) x) 2))))
(/.f64 (-.f64 (.f64 (pow.f64 x 6) 1/9) (pow.f64 (fma.f64 2/15 (pow.f64 x 5) x) 2)) (-.f64 (.f64 -1/3 (pow.f64 x 3)) (fma.f64 2/15 (pow.f64 x 5) x)))
(/.f64 (fma.f64 (pow.f64 x 6) -1/9 (pow.f64 (fma.f64 2/15 (pow.f64 x 5) x) 2)) (fma.f64 (pow.f64 x 3) 1/3 (fma.f64 2/15 (pow.f64 x 5) x)))
(/.f64 (fma.f64 (pow.f64 x 9) -1/27 (pow.f64 (fma.f64 2/15 (pow.f64 x 5) x) 3)) (fma.f64 (fma.f64 2/15 (pow.f64 x 5) x) (-.f64 (fma.f64 2/15 (pow.f64 x 5) x) (.f64 -1/3 (pow.f64 x 3))) (.f64 (pow.f64 x 6) 1/9)))
(/.f64 (.f64 (fma.f64 (pow.f64 x 9) -1/27 (pow.f64 (fma.f64 2/15 (pow.f64 x 5) x) 3)) 1) (fma.f64 (fma.f64 2/15 (pow.f64 x 5) x) (+.f64 (fma.f64 2/15 (pow.f64 x 5) x) (.f64 1/3 (pow.f64 x 3))) (*.f64 (pow.f64 x 6) 1/9)))
(/.f64 (fma.f64 (pow.f64 x 9) -1/27 (pow.f64 (fma.f64 2/15 (pow.f64 x 5) x) 3)) (fma.f64 (fma.f64 2/15 (pow.f64 x 5) x) (+.f64 (fma.f64 2/15 (pow.f64 x 5) x) (.f64 (pow.f64 x 3) 1/3)) (.f64 (pow.f64 x 6) 1/9)))
(/.f64 (fma.f64 (pow.f64 x 9) -1/27 (pow.f64 (fma.f64 2/15 (pow.f64 x 5) x) 3)) (fma.f64 (fma.f64 2/15 (pow.f64 x 5) x) (fma.f64 (pow.f64 x 3) 1/3 (fma.f64 2/15 (pow.f64 x 5) x)) (*.f64 (pow.f64 x 6) 1/9)))
(/.f64 (fma.f64 (pow.f64 x 9) -1/27 (pow.f64 (fma.f64 2/15 (pow.f64 x 5) x) 3)) (+.f64 (pow.f64 (fma.f64 2/15 (pow.f64 x 5) x) 2) (-.f64 (.f64 (pow.f64 x 6) 1/9) (.f64 -1/3 (*.f64 (pow.f64 x 3) (fma.f64 2/15 (pow.f64 x 5) x))))))
(/.f64 (.f64 (fma.f64 (pow.f64 x 9) -1/27 (pow.f64 (fma.f64 2/15 (pow.f64 x 5) x) 3)) 1) (fma.f64 (fma.f64 2/15 (pow.f64 x 5) x) (+.f64 (fma.f64 2/15 (pow.f64 x 5) x) (.f64 1/3 (pow.f64 x 3))) (*.f64 (pow.f64 x 6) 1/9)))
(/.f64 (fma.f64 (pow.f64 x 9) -1/27 (pow.f64 (fma.f64 2/15 (pow.f64 x 5) x) 3)) (fma.f64 (fma.f64 2/15 (pow.f64 x 5) x) (+.f64 (fma.f64 2/15 (pow.f64 x 5) x) (.f64 (pow.f64 x 3) 1/3)) (.f64 (pow.f64 x 6) 1/9)))
(/.f64 (fma.f64 (pow.f64 x 9) -1/27 (pow.f64 (fma.f64 2/15 (pow.f64 x 5) x) 3)) (fma.f64 (fma.f64 2/15 (pow.f64 x 5) x) (fma.f64 (pow.f64 x 3) 1/3 (fma.f64 2/15 (pow.f64 x 5) x)) (*.f64 (pow.f64 x 6) 1/9)))
(/.f64 (-.f64 (.f64 (pow.f64 x 6) 1/9) (pow.f64 (fma.f64 2/15 (pow.f64 x 5) x) 2)) (-.f64 (.f64 -1/3 (pow.f64 x 3)) (fma.f64 2/15 (pow.f64 x 5) x)))
(/.f64 (fma.f64 (pow.f64 x 6) -1/9 (pow.f64 (fma.f64 2/15 (pow.f64 x 5) x) 2)) (fma.f64 (pow.f64 x 3) 1/3 (fma.f64 2/15 (pow.f64 x 5) x)))
(/.f64 (neg.f64 (fma.f64 (pow.f64 x 9) -1/27 (pow.f64 (fma.f64 2/15 (pow.f64 x 5) x) 3))) (neg.f64 (fma.f64 (fma.f64 2/15 (pow.f64 x 5) x) (-.f64 (fma.f64 2/15 (pow.f64 x 5) x) (.f64 -1/3 (pow.f64 x 3))) (.f64 (pow.f64 x 6) 1/9))))
(/.f64 (.f64 (fma.f64 (pow.f64 x 9) -1/27 (pow.f64 (fma.f64 2/15 (pow.f64 x 5) x) 3)) 1) (fma.f64 (fma.f64 2/15 (pow.f64 x 5) x) (+.f64 (fma.f64 2/15 (pow.f64 x 5) x) (.f64 1/3 (pow.f64 x 3))) (*.f64 (pow.f64 x 6) 1/9)))
(/.f64 (fma.f64 (pow.f64 x 9) -1/27 (pow.f64 (fma.f64 2/15 (pow.f64 x 5) x) 3)) (fma.f64 (fma.f64 2/15 (pow.f64 x 5) x) (+.f64 (fma.f64 2/15 (pow.f64 x 5) x) (.f64 (pow.f64 x 3) 1/3)) (.f64 (pow.f64 x 6) 1/9)))
(/.f64 (fma.f64 (pow.f64 x 9) -1/27 (pow.f64 (fma.f64 2/15 (pow.f64 x 5) x) 3)) (fma.f64 (fma.f64 2/15 (pow.f64 x 5) x) (fma.f64 (pow.f64 x 3) 1/3 (fma.f64 2/15 (pow.f64 x 5) x)) (*.f64 (pow.f64 x 6) 1/9)))
(/.f64 (neg.f64 (-.f64 (.f64 (pow.f64 x 6) 1/9) (pow.f64 (fma.f64 2/15 (pow.f64 x 5) x) 2))) (neg.f64 (-.f64 (.f64 -1/3 (pow.f64 x 3)) (fma.f64 2/15 (pow.f64 x 5) x))))
(/.f64 (-.f64 (.f64 (pow.f64 x 6) 1/9) (pow.f64 (fma.f64 2/15 (pow.f64 x 5) x) 2)) (-.f64 (.f64 -1/3 (pow.f64 x 3)) (fma.f64 2/15 (pow.f64 x 5) x)))
(/.f64 (fma.f64 (pow.f64 x 6) -1/9 (pow.f64 (fma.f64 2/15 (pow.f64 x 5) x) 2)) (fma.f64 (pow.f64 x 3) 1/3 (fma.f64 2/15 (pow.f64 x 5) x)))
(/.f64 (+.f64 (pow.f64 (fma.f64 2/15 (pow.f64 x 5) (.f64 -1/3 (pow.f64 x 3))) 3) (pow.f64 x 3)) (+.f64 (pow.f64 (fma.f64 2/15 (pow.f64 x 5) (.f64 -1/3 (pow.f64 x 3))) 2) (-.f64 (.f64 x x) (.f64 (fma.f64 2/15 (pow.f64 x 5) (*.f64 -1/3 (pow.f64 x 3))) x))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (fma.f64 -1/3 (pow.f64 x 3) (.f64 2/15 (pow.f64 x 5))) 3)) (+.f64 (pow.f64 (fma.f64 -1/3 (pow.f64 x 3) (.f64 2/15 (pow.f64 x 5))) 2) (.f64 x (-.f64 x (fma.f64 -1/3 (pow.f64 x 3) (.f64 2/15 (pow.f64 x 5)))))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (fma.f64 -1/3 (pow.f64 x 3) (.f64 2/15 (pow.f64 x 5))) 3)) (fma.f64 x (-.f64 x (fma.f64 -1/3 (pow.f64 x 3) (.f64 2/15 (pow.f64 x 5)))) (pow.f64 (fma.f64 -1/3 (pow.f64 x 3) (*.f64 2/15 (pow.f64 x 5))) 2)))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (fma.f64 -1/3 (pow.f64 x 3) (.f64 2/15 (pow.f64 x 5))) 3)) (fma.f64 x (+.f64 (fma.f64 (pow.f64 x 5) -2/15 x) (.f64 (pow.f64 x 3) 1/3)) (pow.f64 (fma.f64 -1/3 (pow.f64 x 3) (*.f64 2/15 (pow.f64 x 5))) 2)))
(/.f64 (-.f64 (pow.f64 (fma.f64 2/15 (pow.f64 x 5) x) 2) (.f64 (pow.f64 x 6) 1/9)) (-.f64 (fma.f64 2/15 (pow.f64 x 5) x) (.f64 -1/3 (pow.f64 x 3))))
(/.f64 (-.f64 (.f64 (pow.f64 x 6) 1/9) (pow.f64 (fma.f64 2/15 (pow.f64 x 5) x) 2)) (-.f64 (.f64 -1/3 (pow.f64 x 3)) (fma.f64 2/15 (pow.f64 x 5) x)))
(/.f64 (fma.f64 (pow.f64 x 6) -1/9 (pow.f64 (fma.f64 2/15 (pow.f64 x 5) x) 2)) (fma.f64 (pow.f64 x 3) 1/3 (fma.f64 2/15 (pow.f64 x 5) x)))
(/.f64 (-.f64 (pow.f64 (fma.f64 2/15 (pow.f64 x 5) (.f64 -1/3 (pow.f64 x 3))) 2) (.f64 x x)) (-.f64 (fma.f64 2/15 (pow.f64 x 5) (*.f64 -1/3 (pow.f64 x 3))) x))
(/.f64 (-.f64 (pow.f64 (fma.f64 -1/3 (pow.f64 x 3) (.f64 2/15 (pow.f64 x 5))) 2) (.f64 x x)) (-.f64 (fma.f64 -1/3 (pow.f64 x 3) (*.f64 2/15 (pow.f64 x 5))) x))
(pow.f64 (fma.f64 -1/3 (pow.f64 x 3) (fma.f64 2/15 (pow.f64 x 5) x)) 1)
(fma.f64 -1/3 (pow.f64 x 3) (fma.f64 2/15 (pow.f64 x 5) x))
(pow.f64 (pow.f64 (fma.f64 -1/3 (pow.f64 x 3) (fma.f64 2/15 (pow.f64 x 5) x)) 2) 1/2)
(fma.f64 -1/3 (pow.f64 x 3) (fma.f64 2/15 (pow.f64 x 5) x))
(pow.f64 (pow.f64 (fma.f64 -1/3 (pow.f64 x 3) (fma.f64 2/15 (pow.f64 x 5) x)) 3) 1/3)
(fma.f64 -1/3 (pow.f64 x 3) (fma.f64 2/15 (pow.f64 x 5) x))
(pow.f64 (cbrt.f64 (fma.f64 -1/3 (pow.f64 x 3) (fma.f64 2/15 (pow.f64 x 5) x))) 3)
(fma.f64 -1/3 (pow.f64 x 3) (fma.f64 2/15 (pow.f64 x 5) x))
(pow.f64 (sqrt.f64 (fma.f64 -1/3 (pow.f64 x 3) (fma.f64 2/15 (pow.f64 x 5) x))) 2)
(fma.f64 -1/3 (pow.f64 x 3) (fma.f64 2/15 (pow.f64 x 5) x))
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(fma.f64 2/15 (pow.f64 x 5) x)
(*.f64 (sqrt.f64 (fma.f64 2/15 (pow.f64 x 5) x)) (sqrt.f64 (fma.f64 2/15 (pow.f64 x 5) x)))
(fma.f64 2/15 (pow.f64 x 5) x)
(.f64 (fma.f64 (pow.f64 x 15) 8/3375 (pow.f64 x 3)) (/.f64 1 (fma.f64 x (-.f64 x (.f64 2/15 (pow.f64 x 5))) (*.f64 (pow.f64 x 10) 4/225))))
(.f64 (fma.f64 (pow.f64 x 15) 8/3375 (pow.f64 x 3)) (/.f64 1 (fma.f64 x (+.f64 x (.f64 -2/15 (pow.f64 x 5))) (*.f64 (pow.f64 x 10) 4/225))))
(/.f64 (fma.f64 (pow.f64 x 15) 8/3375 (pow.f64 x 3)) (fma.f64 x (-.f64 x (.f64 2/15 (pow.f64 x 5))) (.f64 (pow.f64 x 10) 4/225)))
(/.f64 (fma.f64 (pow.f64 x 15) 8/3375 (pow.f64 x 3)) (fma.f64 x (fma.f64 (pow.f64 x 5) -2/15 x) (*.f64 (pow.f64 x 10) 4/225)))
(.f64 (fma.f64 (pow.f64 x 10) 4/225 (neg.f64 (.f64 x x))) (/.f64 1 (fma.f64 2/15 (pow.f64 x 5) (neg.f64 x))))
(-.f64 (/.f64 (pow.f64 x 10) (/.f64 (fma.f64 2/15 (pow.f64 x 5) (neg.f64 x)) 4/225)) (/.f64 (*.f64 x x) (fma.f64 2/15 (pow.f64 x 5) (neg.f64 x))))
(-.f64 (/.f64 (.f64 (pow.f64 x 10) 4/225) (-.f64 (.f64 2/15 (pow.f64 x 5)) x)) (.f64 (/.f64 x (-.f64 (.f64 2/15 (pow.f64 x 5)) x)) x))
(/.f64 (fma.f64 x x (*.f64 (pow.f64 x 10) -4/225)) (fma.f64 (pow.f64 x 5) -2/15 x))
(/.f64 1 (/.f64 (fma.f64 x (-.f64 x (.f64 2/15 (pow.f64 x 5))) (.f64 (pow.f64 x 10) 4/225)) (fma.f64 (pow.f64 x 15) 8/3375 (pow.f64 x 3))))
(.f64 (fma.f64 (pow.f64 x 15) 8/3375 (pow.f64 x 3)) (/.f64 1 (fma.f64 x (+.f64 x (.f64 -2/15 (pow.f64 x 5))) (*.f64 (pow.f64 x 10) 4/225))))
(/.f64 (fma.f64 (pow.f64 x 15) 8/3375 (pow.f64 x 3)) (fma.f64 x (-.f64 x (.f64 2/15 (pow.f64 x 5))) (.f64 (pow.f64 x 10) 4/225)))
(/.f64 (fma.f64 (pow.f64 x 15) 8/3375 (pow.f64 x 3)) (fma.f64 x (fma.f64 (pow.f64 x 5) -2/15 x) (*.f64 (pow.f64 x 10) 4/225)))
(/.f64 1 (/.f64 (fma.f64 2/15 (pow.f64 x 5) (neg.f64 x)) (fma.f64 (pow.f64 x 10) 4/225 (neg.f64 (*.f64 x x)))))
(-.f64 (/.f64 (pow.f64 x 10) (/.f64 (fma.f64 2/15 (pow.f64 x 5) (neg.f64 x)) 4/225)) (/.f64 (*.f64 x x) (fma.f64 2/15 (pow.f64 x 5) (neg.f64 x))))
(-.f64 (/.f64 (.f64 (pow.f64 x 10) 4/225) (-.f64 (.f64 2/15 (pow.f64 x 5)) x)) (.f64 (/.f64 x (-.f64 (.f64 2/15 (pow.f64 x 5)) x)) x))
(/.f64 (fma.f64 x x (*.f64 (pow.f64 x 10) -4/225)) (fma.f64 (pow.f64 x 5) -2/15 x))
(/.f64 (fma.f64 (pow.f64 x 15) 8/3375 (pow.f64 x 3)) (fma.f64 x (-.f64 x (.f64 2/15 (pow.f64 x 5))) (.f64 (pow.f64 x 10) 4/225)))
(.f64 (fma.f64 (pow.f64 x 15) 8/3375 (pow.f64 x 3)) (/.f64 1 (fma.f64 x (+.f64 x (.f64 -2/15 (pow.f64 x 5))) (*.f64 (pow.f64 x 10) 4/225))))
(/.f64 (fma.f64 (pow.f64 x 15) 8/3375 (pow.f64 x 3)) (fma.f64 x (fma.f64 (pow.f64 x 5) -2/15 x) (*.f64 (pow.f64 x 10) 4/225)))
(/.f64 (fma.f64 (pow.f64 x 15) 8/3375 (pow.f64 x 3)) (fma.f64 x x (-.f64 (.f64 (pow.f64 x 10) 4/225) (.f64 x (*.f64 2/15 (pow.f64 x 5))))))
(/.f64 (fma.f64 (pow.f64 x 15) 8/3375 (pow.f64 x 3)) (fma.f64 x x (fma.f64 (pow.f64 x 10) 4/225 (neg.f64 (.f64 (.f64 x 2/15) (pow.f64 x 5))))))
(/.f64 (fma.f64 (pow.f64 x 15) 8/3375 (pow.f64 x 3)) (fma.f64 x x (fma.f64 (pow.f64 x 10) 4/225 (.f64 x (.f64 (pow.f64 x 5) -2/15)))))
(/.f64 (fma.f64 (pow.f64 x 15) 8/3375 (pow.f64 x 3)) (fma.f64 x x (fma.f64 (pow.f64 x 10) 4/225 (*.f64 -2/15 (pow.f64 x 6)))))
(/.f64 (fma.f64 (pow.f64 x 10) 4/225 (neg.f64 (*.f64 x x))) (fma.f64 2/15 (pow.f64 x 5) (neg.f64 x)))
(-.f64 (/.f64 (pow.f64 x 10) (/.f64 (fma.f64 2/15 (pow.f64 x 5) (neg.f64 x)) 4/225)) (/.f64 (*.f64 x x) (fma.f64 2/15 (pow.f64 x 5) (neg.f64 x))))
(-.f64 (/.f64 (.f64 (pow.f64 x 10) 4/225) (-.f64 (.f64 2/15 (pow.f64 x 5)) x)) (.f64 (/.f64 x (-.f64 (.f64 2/15 (pow.f64 x 5)) x)) x))
(/.f64 (fma.f64 x x (*.f64 (pow.f64 x 10) -4/225)) (fma.f64 (pow.f64 x 5) -2/15 x))
(/.f64 (neg.f64 (fma.f64 (pow.f64 x 15) 8/3375 (pow.f64 x 3))) (neg.f64 (fma.f64 x (-.f64 x (.f64 2/15 (pow.f64 x 5))) (.f64 (pow.f64 x 10) 4/225))))
(.f64 (fma.f64 (pow.f64 x 15) 8/3375 (pow.f64 x 3)) (/.f64 1 (fma.f64 x (+.f64 x (.f64 -2/15 (pow.f64 x 5))) (*.f64 (pow.f64 x 10) 4/225))))
(/.f64 (fma.f64 (pow.f64 x 15) 8/3375 (pow.f64 x 3)) (fma.f64 x (-.f64 x (.f64 2/15 (pow.f64 x 5))) (.f64 (pow.f64 x 10) 4/225)))
(/.f64 (fma.f64 (pow.f64 x 15) 8/3375 (pow.f64 x 3)) (fma.f64 x (fma.f64 (pow.f64 x 5) -2/15 x) (*.f64 (pow.f64 x 10) 4/225)))
(/.f64 (neg.f64 (fma.f64 (pow.f64 x 10) 4/225 (neg.f64 (*.f64 x x)))) (neg.f64 (fma.f64 2/15 (pow.f64 x 5) (neg.f64 x))))
(-.f64 (/.f64 (pow.f64 x 10) (/.f64 (fma.f64 2/15 (pow.f64 x 5) (neg.f64 x)) 4/225)) (/.f64 (*.f64 x x) (fma.f64 2/15 (pow.f64 x 5) (neg.f64 x))))
(-.f64 (/.f64 (.f64 (pow.f64 x 10) 4/225) (-.f64 (.f64 2/15 (pow.f64 x 5)) x)) (.f64 (/.f64 x (-.f64 (.f64 2/15 (pow.f64 x 5)) x)) x))
(/.f64 (fma.f64 x x (*.f64 (pow.f64 x 10) -4/225)) (fma.f64 (pow.f64 x 5) -2/15 x))
(/.f64 (-.f64 (.f64 x x) (.f64 (pow.f64 x 10) 4/225)) (-.f64 x (*.f64 2/15 (pow.f64 x 5))))
(-.f64 (/.f64 (pow.f64 x 10) (/.f64 (fma.f64 2/15 (pow.f64 x 5) (neg.f64 x)) 4/225)) (/.f64 (*.f64 x x) (fma.f64 2/15 (pow.f64 x 5) (neg.f64 x))))
(-.f64 (/.f64 (.f64 (pow.f64 x 10) 4/225) (-.f64 (.f64 2/15 (pow.f64 x 5)) x)) (.f64 (/.f64 x (-.f64 (.f64 2/15 (pow.f64 x 5)) x)) x))
(/.f64 (fma.f64 x x (*.f64 (pow.f64 x 10) -4/225)) (fma.f64 (pow.f64 x 5) -2/15 x))
(pow.f64 (fma.f64 2/15 (pow.f64 x 5) x) 1)
(fma.f64 2/15 (pow.f64 x 5) x)
(pow.f64 (pow.f64 (fma.f64 2/15 (pow.f64 x 5) x) 2) 1/2)
(fma.f64 2/15 (pow.f64 x 5) x)
(pow.f64 (cbrt.f64 (fma.f64 2/15 (pow.f64 x 5) x)) 3)
(fma.f64 2/15 (pow.f64 x 5) x)
(pow.f64 (sqrt.f64 (fma.f64 2/15 (pow.f64 x 5) x)) 2)
(fma.f64 2/15 (pow.f64 x 5) x)
(pow.f64 (pow.f64 (fma.f64 2/15 (pow.f64 x 5) x) 3) 1/3)
(fma.f64 2/15 (pow.f64 x 5) x)
(pow.f64 (/.f64 (fma.f64 x (-.f64 x (.f64 2/15 (pow.f64 x 5))) (.f64 (pow.f64 x 10) 4/225)) (fma.f64 (pow.f64 x 15) 8/3375 (pow.f64 x 3))) -1)
(.f64 (fma.f64 (pow.f64 x 15) 8/3375 (pow.f64 x 3)) (/.f64 1 (fma.f64 x (+.f64 x (.f64 -2/15 (pow.f64 x 5))) (*.f64 (pow.f64 x 10) 4/225))))
(/.f64 (fma.f64 (pow.f64 x 15) 8/3375 (pow.f64 x 3)) (fma.f64 x (-.f64 x (.f64 2/15 (pow.f64 x 5))) (.f64 (pow.f64 x 10) 4/225)))
(/.f64 (fma.f64 (pow.f64 x 15) 8/3375 (pow.f64 x 3)) (fma.f64 x (fma.f64 (pow.f64 x 5) -2/15 x) (*.f64 (pow.f64 x 10) 4/225)))
(pow.f64 (/.f64 (fma.f64 2/15 (pow.f64 x 5) (neg.f64 x)) (fma.f64 (pow.f64 x 10) 4/225 (neg.f64 (*.f64 x x)))) -1)
(-.f64 (/.f64 (pow.f64 x 10) (/.f64 (fma.f64 2/15 (pow.f64 x 5) (neg.f64 x)) 4/225)) (/.f64 (*.f64 x x) (fma.f64 2/15 (pow.f64 x 5) (neg.f64 x))))
(-.f64 (/.f64 (.f64 (pow.f64 x 10) 4/225) (-.f64 (.f64 2/15 (pow.f64 x 5)) x)) (.f64 (/.f64 x (-.f64 (.f64 2/15 (pow.f64 x 5)) x)) x))
(/.f64 (fma.f64 x x (*.f64 (pow.f64 x 10) -4/225)) (fma.f64 (pow.f64 x 5) -2/15 x))
(sqrt.f64 (pow.f64 (fma.f64 2/15 (pow.f64 x 5) x) 2))
(fma.f64 2/15 (pow.f64 x 5) x)
(log.f64 (exp.f64 (fma.f64 2/15 (pow.f64 x 5) x)))
(fma.f64 2/15 (pow.f64 x 5) x)
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 2/15 (pow.f64 x 5) x))))
(fma.f64 2/15 (pow.f64 x 5) x)
(log.f64 (*.f64 (+.f64 1 (expm1.f64 x)) (pow.f64 (exp.f64 2/15) (pow.f64 x 5))))
(fma.f64 2/15 (pow.f64 x 5) x)
(log.f64 (.f64 (exp.f64 x) (+.f64 1 (expm1.f64 (.f64 2/15 (pow.f64 x 5))))))
(fma.f64 2/15 (pow.f64 x 5) x)
(log.f64 (.f64 (+.f64 1 (expm1.f64 x)) (+.f64 1 (expm1.f64 (.f64 2/15 (pow.f64 x 5))))))
(fma.f64 2/15 (pow.f64 x 5) x)
(log.f64 (.f64 (+.f64 1 (expm1.f64 (.f64 2/15 (pow.f64 x 5)))) (exp.f64 x)))
(fma.f64 2/15 (pow.f64 x 5) x)
(log.f64 (*.f64 (pow.f64 (exp.f64 2/15) (pow.f64 x 5)) (+.f64 1 (expm1.f64 x))))
(fma.f64 2/15 (pow.f64 x 5) x)
(log.f64 (.f64 (+.f64 1 (expm1.f64 (.f64 2/15 (pow.f64 x 5)))) (+.f64 1 (expm1.f64 x))))
(fma.f64 2/15 (pow.f64 x 5) x)
(cbrt.f64 (pow.f64 (fma.f64 2/15 (pow.f64 x 5) x) 3))
(fma.f64 2/15 (pow.f64 x 5) x)
(expm1.f64 (log1p.f64 (fma.f64 2/15 (pow.f64 x 5) x)))
(fma.f64 2/15 (pow.f64 x 5) x)
(log1p.f64 (expm1.f64 (fma.f64 2/15 (pow.f64 x 5) x)))
(fma.f64 2/15 (pow.f64 x 5) x)
(exp.f64 (log.f64 (fma.f64 2/15 (pow.f64 x 5) x)))
(fma.f64 2/15 (pow.f64 x 5) x)
(exp.f64 (*.f64 (log.f64 (fma.f64 2/15 (pow.f64 x 5) x)) 1))
(fma.f64 2/15 (pow.f64 x 5) x)
(fma.f64 2/15 (pow.f64 x 5) x)
(fma.f64 x 1 (*.f64 2/15 (pow.f64 x 5)))
(fma.f64 2/15 (pow.f64 x 5) x)
(fma.f64 (pow.f64 x 5) 2/15 x)
(fma.f64 2/15 (pow.f64 x 5) x)
(fma.f64 (*.f64 2/15 (pow.f64 x 5)) 1 x)
(fma.f64 2/15 (pow.f64 x 5) x)
(fma.f64 1 x (*.f64 2/15 (pow.f64 x 5)))
(fma.f64 2/15 (pow.f64 x 5) x)
(fma.f64 1 (*.f64 2/15 (pow.f64 x 5)) x)
(fma.f64 2/15 (pow.f64 x 5) x)
(fma.f64 (cbrt.f64 (pow.f64 x 10)) (*.f64 (pow.f64 (cbrt.f64 x) 5) 2/15) x)
(fma.f64 (cbrt.f64 (pow.f64 x 10)) (*.f64 2/15 (pow.f64 (cbrt.f64 x) 5)) x)
(fma.f64 (*.f64 2/15 (cbrt.f64 (pow.f64 x 10))) (pow.f64 (cbrt.f64 x) 5) x)
(fma.f64 (cbrt.f64 (.f64 2/15 (pow.f64 x 5))) (cbrt.f64 (.f64 (pow.f64 x 10) 4/225)) x)
(fma.f64 (cbrt.f64 (.f64 (pow.f64 x 10) 4/225)) (cbrt.f64 (.f64 2/15 (pow.f64 x 5))) x)
(fma.f64 (cbrt.f64 (.f64 2/15 (pow.f64 x 5))) (cbrt.f64 (.f64 (pow.f64 x 10) 4/225)) x)
(fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2) (*.f64 2/15 (pow.f64 x 5)))
(fma.f64 2/15 (pow.f64 x 5) x)
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (*.f64 2/15 (pow.f64 x 5)))
(fma.f64 2/15 (pow.f64 x 5) x)
(fma.f64 (.f64 (sqrt.f64 2/15) (pow.f64 x 5/2)) (.f64 (sqrt.f64 2/15) (pow.f64 x 5/2)) x)
(fma.f64 2/15 (pow.f64 x 5) x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 2/15 (pow.f64 x 5)))
(fma.f64 2/15 (pow.f64 x 5) x)
(fma.f64 (pow.f64 x 5/2) (*.f64 (pow.f64 x 5/2) 2/15) x)
(fma.f64 2/15 (pow.f64 x 5) x)
(fma.f64 (*.f64 2/15 (cbrt.f64 (pow.f64 x 10))) (pow.f64 (cbrt.f64 x) 5) x)
(fma.f64 (cbrt.f64 (pow.f64 x 10)) (*.f64 2/15 (pow.f64 (cbrt.f64 x) 5)) x)
(fma.f64 (*.f64 2/15 (pow.f64 x 5/2)) (pow.f64 x 5/2) x)
(fma.f64 2/15 (pow.f64 x 5) x)

eval160.0ms (4.3%)

Compiler: Compiled 5387 to 4041 computations (25% saved)

prune70.0ms (1.9%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	315	1	316
Fresh	0	1	1
Picked	1	0	1
Done	0	3	3
Total	316	5	321

Error

Counts

321 → 5

Alt Table

Click to see full alt table

Status	Error	Program
▶	2.8b	(/.f64 (.f64 2 (sinh.f64 x)) (.f64 2 (cosh.f64 x)))
✓	3.9b	(+.f64 (*.f64 -1/3 (pow.f64 x 3)) x)
✓	0.0b	(tanh.f64 x)
✓	54.3b	(log.f64 (exp.f64 (tanh.f64 x)))
	4.0b	x

Compiler

Compiled 28 to 21 computations (25% saved)

localize35.0ms (0.9%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(sinh.f64 x)
✓	2.7b	(/.f64 (.f64 2 (sinh.f64 x)) (.f64 2 (cosh.f64 x)))

Compiler

Compiled 24 to 13 computations (45.8% saved)

series6.0ms (0.2%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
3.0ms	x	@	inf	(/.f64 (.f64 2 (sinh.f64 x)) (.f64 2 (cosh.f64 x)))
1.0ms	x	@	-inf	(/.f64 (.f64 2 (sinh.f64 x)) (.f64 2 (cosh.f64 x)))
1.0ms	x	@	0	(/.f64 (.f64 2 (sinh.f64 x)) (.f64 2 (cosh.f64 x)))
0.0ms	x	@	0	(sinh.f64 x)
0.0ms	x	@	inf	(sinh.f64 x)

rewrite50.0ms (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

957×	`pow1_binary64`
891×	`add-log-exp_binary64`
890×	`log1p-expm1-u_binary64`
890×	`expm1-log1p-u_binary64`
90×	`add-sqr-sqrt_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	8	14
1	177	11
2	2481	11

Stop Event

1×	node limit

Counts

2 → 86

Calls

Call 1

Inputs
(/.f64 (.f64 2 (sinh.f64 x)) (.f64 2 (cosh.f64 x)))
(sinh.f64 x)

Outputs

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

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

simplify50.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

547×	`distribute-rgt-in_binary64`
423×	`unswap-sqr_binary64`
348×	`log-prod_binary64`
231×	`cube-prod_binary64`
204×	`fma-def_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	234	1310
1	547	1298
2	2783	1298

Stop Event

1×	node limit

Counts

110 → 122

Calls

Call 1

Inputs
x
(+.f64 (*.f64 -1/3 (pow.f64 x 3)) x)
(+.f64 (.f64 -1/3 (pow.f64 x 3)) (+.f64 (.f64 2/15 (pow.f64 x 5)) x))
(+.f64 (.f64 -17/315 (pow.f64 x 7)) (+.f64 (.f64 -1/3 (pow.f64 x 3)) (+.f64 (*.f64 2/15 (pow.f64 x 5)) x)))
(/.f64 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))) (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))
(/.f64 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))) (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))
(/.f64 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))) (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))
(/.f64 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))) (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))
(/.f64 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))) (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))
(/.f64 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))) (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))
(/.f64 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))) (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))
(/.f64 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))) (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))
x
(+.f64 (*.f64 1/6 (pow.f64 x 3)) x)
(+.f64 (.f64 1/6 (pow.f64 x 3)) (+.f64 (.f64 1/120 (pow.f64 x 5)) x))
(+.f64 (.f64 1/6 (pow.f64 x 3)) (+.f64 (.f64 1/5040 (pow.f64 x 7)) (+.f64 (*.f64 1/120 (pow.f64 x 5)) x)))
(*.f64 1/2 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))))
(*.f64 1/2 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))))
(*.f64 1/2 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))))
(*.f64 1/2 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))))
(*.f64 1/2 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))))
(*.f64 1/2 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))))
(*.f64 1/2 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))))
(*.f64 1/2 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (sinh.f64 x) (cosh.f64 x)))) 1)
(.f64 2 (/.f64 (sinh.f64 x) (.f64 2 (cosh.f64 x))))
(*.f64 2 (/.f64 1 (/.f64 2 (/.f64 (sinh.f64 x) (cosh.f64 x)))))
(.f64 2 (.f64 (sinh.f64 x) (/.f64 1/2 (cosh.f64 x))))
(*.f64 (sinh.f64 x) (/.f64 1 (cosh.f64 x)))
(.f64 (sinh.f64 x) (/.f64 2 (.f64 2 (cosh.f64 x))))
(.f64 (sinh.f64 x) (.f64 2 (/.f64 1/2 (cosh.f64 x))))
(.f64 (.f64 2 (sinh.f64 x)) (/.f64 1/2 (cosh.f64 x)))
(*.f64 (/.f64 (sinh.f64 x) (cosh.f64 x)) 1)
(*.f64 1 (/.f64 (sinh.f64 x) (cosh.f64 x)))
(*.f64 (cbrt.f64 (/.f64 (sinh.f64 x) (cosh.f64 x))) (pow.f64 (cbrt.f64 (/.f64 (sinh.f64 x) (cosh.f64 x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (sinh.f64 x) (cosh.f64 x))) 2) (cbrt.f64 (/.f64 (sinh.f64 x) (cosh.f64 x))))
(.f64 (cbrt.f64 (.f64 4 (pow.f64 (sinh.f64 x) 2))) (.f64 (cbrt.f64 (.f64 2 (sinh.f64 x))) (/.f64 1/2 (cosh.f64 x))))
(*.f64 (sqrt.f64 (/.f64 (sinh.f64 x) (cosh.f64 x))) (sqrt.f64 (/.f64 (sinh.f64 x) (cosh.f64 x))))
(.f64 (sqrt.f64 (.f64 2 (sinh.f64 x))) (.f64 (sqrt.f64 (.f64 2 (sinh.f64 x))) (/.f64 1/2 (cosh.f64 x))))
(.f64 (.f64 (sinh.f64 x) -2) (/.f64 1 (*.f64 (cosh.f64 x) -2)))
(.f64 (/.f64 1/2 (cosh.f64 x)) (.f64 2 (sinh.f64 x)))
(.f64 1/2 (/.f64 (.f64 2 (sinh.f64 x)) (cosh.f64 x)))
(*.f64 (/.f64 (sinh.f64 x) 2) (/.f64 2 (cosh.f64 x)))
(*.f64 (/.f64 2 (cosh.f64 x)) (/.f64 (sinh.f64 x) 2))
(.f64 (/.f64 (cbrt.f64 (.f64 4 (pow.f64 (sinh.f64 x) 2))) 2) (/.f64 (cbrt.f64 (*.f64 2 (sinh.f64 x))) (cosh.f64 x)))
(.f64 (/.f64 (sqrt.f64 (.f64 2 (sinh.f64 x))) 2) (/.f64 (sqrt.f64 (*.f64 2 (sinh.f64 x))) (cosh.f64 x)))
(.f64 (/.f64 (sqrt.f64 (.f64 2 (sinh.f64 x))) (cosh.f64 x)) (/.f64 (sqrt.f64 (*.f64 2 (sinh.f64 x))) 2))
(*.f64 (/.f64 1 (cosh.f64 x)) (sinh.f64 x))
(.f64 (/.f64 (cbrt.f64 (.f64 4 (pow.f64 (sinh.f64 x) 2))) (cosh.f64 x)) (/.f64 (cbrt.f64 (*.f64 2 (sinh.f64 x))) 2))
(.f64 (/.f64 (sinh.f64 x) (.f64 2 (cosh.f64 x))) 2)
(.f64 (/.f64 2 (.f64 2 (cosh.f64 x))) (sinh.f64 x))
(.f64 (/.f64 (cbrt.f64 (.f64 4 (pow.f64 (sinh.f64 x) 2))) 1) (/.f64 (cbrt.f64 (.f64 2 (sinh.f64 x))) (.f64 2 (cosh.f64 x))))
(.f64 (/.f64 (sqrt.f64 (.f64 2 (sinh.f64 x))) 1) (/.f64 (sqrt.f64 (.f64 2 (sinh.f64 x))) (.f64 2 (cosh.f64 x))))
(.f64 (/.f64 2 (pow.f64 (cbrt.f64 (.f64 2 (cosh.f64 x))) 2)) (/.f64 (sinh.f64 x) (cbrt.f64 (*.f64 2 (cosh.f64 x)))))
(.f64 (/.f64 (sinh.f64 x) (pow.f64 (cbrt.f64 (.f64 2 (cosh.f64 x))) 2)) (/.f64 2 (cbrt.f64 (*.f64 2 (cosh.f64 x)))))
(.f64 (/.f64 1 (pow.f64 (cbrt.f64 (.f64 2 (cosh.f64 x))) 2)) (/.f64 (.f64 2 (sinh.f64 x)) (cbrt.f64 (.f64 2 (cosh.f64 x)))))
(.f64 (/.f64 (cbrt.f64 (.f64 4 (pow.f64 (sinh.f64 x) 2))) (pow.f64 (cbrt.f64 (*.f64 2 (cosh.f64 x))) 2)) (cbrt.f64 (/.f64 (sinh.f64 x) (cosh.f64 x))))
(.f64 (/.f64 (sqrt.f64 (.f64 2 (sinh.f64 x))) (pow.f64 (cbrt.f64 (.f64 2 (cosh.f64 x))) 2)) (/.f64 (sqrt.f64 (.f64 2 (sinh.f64 x))) (cbrt.f64 (*.f64 2 (cosh.f64 x)))))
(.f64 (/.f64 2 (sqrt.f64 (.f64 2 (cosh.f64 x)))) (/.f64 (sinh.f64 x) (sqrt.f64 (*.f64 2 (cosh.f64 x)))))
(.f64 (/.f64 (sinh.f64 x) (sqrt.f64 (.f64 2 (cosh.f64 x)))) (/.f64 2 (sqrt.f64 (*.f64 2 (cosh.f64 x)))))
(.f64 (/.f64 1 (sqrt.f64 (.f64 2 (cosh.f64 x)))) (/.f64 (.f64 2 (sinh.f64 x)) (sqrt.f64 (.f64 2 (cosh.f64 x)))))
(.f64 (/.f64 (cbrt.f64 (.f64 4 (pow.f64 (sinh.f64 x) 2))) (sqrt.f64 (.f64 2 (cosh.f64 x)))) (/.f64 (cbrt.f64 (.f64 2 (sinh.f64 x))) (sqrt.f64 (*.f64 2 (cosh.f64 x)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sinh.f64 x)) 2) 1) (/.f64 (cbrt.f64 (sinh.f64 x)) (cosh.f64 x)))
(*.f64 (/.f64 (sqrt.f64 (sinh.f64 x)) 1) (/.f64 (sqrt.f64 (sinh.f64 x)) (cosh.f64 x)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (cosh.f64 x)) 2)) (/.f64 (sinh.f64 x) (cbrt.f64 (cosh.f64 x))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sinh.f64 x)) 2) (pow.f64 (cbrt.f64 (cosh.f64 x)) 2)) (cbrt.f64 (/.f64 (sinh.f64 x) (cosh.f64 x))))
(*.f64 (/.f64 (sqrt.f64 (sinh.f64 x)) (pow.f64 (cbrt.f64 (cosh.f64 x)) 2)) (/.f64 (sqrt.f64 (sinh.f64 x)) (cbrt.f64 (cosh.f64 x))))
(*.f64 (/.f64 1 (sqrt.f64 (cosh.f64 x))) (/.f64 (sinh.f64 x) (sqrt.f64 (cosh.f64 x))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sinh.f64 x)) 2) (sqrt.f64 (cosh.f64 x))) (/.f64 (cbrt.f64 (sinh.f64 x)) (sqrt.f64 (cosh.f64 x))))
(pow.f64 (/.f64 (sinh.f64 x) (cosh.f64 x)) 1)
(pow.f64 (pow.f64 (/.f64 (sinh.f64 x) (cosh.f64 x)) 3) 1/3)
(pow.f64 (cbrt.f64 (/.f64 (sinh.f64 x) (cosh.f64 x))) 3)
(pow.f64 (sqrt.f64 (/.f64 (sinh.f64 x) (cosh.f64 x))) 2)
(pow.f64 (/.f64 (cosh.f64 x) (sinh.f64 x)) -1)
(neg.f64 (/.f64 (.f64 2 (sinh.f64 x)) (.f64 (cosh.f64 x) -2)))
(sqrt.f64 (pow.f64 (/.f64 (sinh.f64 x) (cosh.f64 x)) 2))
(log.f64 (exp.f64 (/.f64 (sinh.f64 x) (cosh.f64 x))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (sinh.f64 x) (cosh.f64 x)))))
(cbrt.f64 (pow.f64 (/.f64 (sinh.f64 x) (cosh.f64 x)) 3))
(cbrt.f64 (/.f64 (pow.f64 (.f64 2 (sinh.f64 x)) 3) (pow.f64 (.f64 2 (cosh.f64 x)) 3)))
(cbrt.f64 (/.f64 (pow.f64 (sinh.f64 x) 3) (pow.f64 (cosh.f64 x) 3)))
(expm1.f64 (log1p.f64 (/.f64 (sinh.f64 x) (cosh.f64 x))))
(log1p.f64 (expm1.f64 (/.f64 (sinh.f64 x) (cosh.f64 x))))
(exp.f64 (log.f64 (/.f64 (sinh.f64 x) (cosh.f64 x))))
(-.f64 (exp.f64 (log1p.f64 (sinh.f64 x))) 1)
(-.f64 (/.f64 (exp.f64 x) 2) (/.f64 (exp.f64 (neg.f64 x)) 2))
(*.f64 (sinh.f64 x) 1)
(.f64 (.f64 2 (sinh.f64 x)) 1/2)
(*.f64 1 (sinh.f64 x))
(*.f64 (cbrt.f64 (sinh.f64 x)) (pow.f64 (cbrt.f64 (sinh.f64 x)) 2))
(*.f64 (pow.f64 (cbrt.f64 (sinh.f64 x)) 2) (cbrt.f64 (sinh.f64 x)))
(*.f64 (sqrt.f64 (sinh.f64 x)) (sqrt.f64 (sinh.f64 x)))
(/.f64 2 (/.f64 2 (sinh.f64 x)))
(/.f64 (sinh.f64 x) 1)
(/.f64 (*.f64 2 (sinh.f64 x)) 2)
(/.f64 1 (/.f64 2 (*.f64 2 (sinh.f64 x))))
(/.f64 (cbrt.f64 (.f64 4 (pow.f64 (sinh.f64 x) 2))) (/.f64 2 (cbrt.f64 (.f64 2 (sinh.f64 x)))))
(/.f64 (sqrt.f64 (.f64 2 (sinh.f64 x))) (/.f64 2 (sqrt.f64 (.f64 2 (sinh.f64 x)))))
(/.f64 (*.f64 (sinh.f64 x) -2) -2)
(pow.f64 (sinh.f64 x) 1)
(pow.f64 (pow.f64 (sinh.f64 x) 3) 1/3)
(pow.f64 (cbrt.f64 (sinh.f64 x)) 3)
(pow.f64 (sqrt.f64 (sinh.f64 x)) 2)
(sqrt.f64 (pow.f64 (sinh.f64 x) 2))
(log.f64 (exp.f64 (sinh.f64 x)))
(log.f64 (+.f64 1 (expm1.f64 (sinh.f64 x))))
(cbrt.f64 (pow.f64 (sinh.f64 x) 3))
(expm1.f64 (log1p.f64 (sinh.f64 x)))
(log1p.f64 (expm1.f64 (sinh.f64 x)))
(exp.f64 (log.f64 (sinh.f64 x)))

Outputs
x
(+.f64 (*.f64 -1/3 (pow.f64 x 3)) x)
(fma.f64 -1/3 (pow.f64 x 3) x)
(+.f64 (.f64 -1/3 (pow.f64 x 3)) (+.f64 (.f64 2/15 (pow.f64 x 5)) x))
(fma.f64 -1/3 (pow.f64 x 3) (fma.f64 2/15 (pow.f64 x 5) x))
(+.f64 (.f64 -17/315 (pow.f64 x 7)) (+.f64 (.f64 -1/3 (pow.f64 x 3)) (+.f64 (*.f64 2/15 (pow.f64 x 5)) x)))
(fma.f64 -17/315 (pow.f64 x 7) (fma.f64 -1/3 (pow.f64 x 3) (fma.f64 2/15 (pow.f64 x 5) x)))
(/.f64 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))) (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/.f64 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))) (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/.f64 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))) (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/.f64 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))) (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/.f64 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))) (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/.f64 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))) (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/.f64 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))) (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/.f64 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))) (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
x
(+.f64 (*.f64 1/6 (pow.f64 x 3)) x)
(fma.f64 1/6 (pow.f64 x 3) x)
(fma.f64 (pow.f64 x 3) 1/6 x)
(+.f64 (.f64 1/6 (pow.f64 x 3)) (+.f64 (.f64 1/120 (pow.f64 x 5)) x))
(fma.f64 1/6 (pow.f64 x 3) (fma.f64 1/120 (pow.f64 x 5) x))
(fma.f64 (pow.f64 x 3) 1/6 (fma.f64 (pow.f64 x 5) 1/120 x))
(+.f64 (.f64 1/6 (pow.f64 x 3)) (+.f64 (.f64 1/5040 (pow.f64 x 7)) (+.f64 (*.f64 1/120 (pow.f64 x 5)) x)))
(fma.f64 1/6 (pow.f64 x 3) (fma.f64 1/5040 (pow.f64 x 7) (fma.f64 1/120 (pow.f64 x 5) x)))
(fma.f64 (pow.f64 x 3) 1/6 (fma.f64 (pow.f64 x 7) 1/5040 (fma.f64 (pow.f64 x 5) 1/120 x)))
(*.f64 1/2 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))))
(*.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 1/2)
(*.f64 1/2 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))))
(*.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 1/2)
(*.f64 1/2 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))))
(*.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 1/2)
(*.f64 1/2 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))))
(*.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 1/2)
(*.f64 1/2 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))))
(*.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 1/2)
(*.f64 1/2 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))))
(*.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 1/2)
(*.f64 1/2 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))))
(*.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 1/2)
(*.f64 1/2 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))))
(*.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 1/2)
(-.f64 (exp.f64 (log1p.f64 (/.f64 (sinh.f64 x) (cosh.f64 x)))) 1)
(/.f64 (sinh.f64 x) (cosh.f64 x))
(.f64 2 (/.f64 (sinh.f64 x) (.f64 2 (cosh.f64 x))))
(/.f64 (sinh.f64 x) (cosh.f64 x))
(*.f64 2 (/.f64 1 (/.f64 2 (/.f64 (sinh.f64 x) (cosh.f64 x)))))
(/.f64 (sinh.f64 x) (cosh.f64 x))
(.f64 2 (.f64 (sinh.f64 x) (/.f64 1/2 (cosh.f64 x))))
(/.f64 (sinh.f64 x) (cosh.f64 x))
(*.f64 (sinh.f64 x) (/.f64 1 (cosh.f64 x)))
(/.f64 (sinh.f64 x) (cosh.f64 x))
(.f64 (sinh.f64 x) (/.f64 2 (.f64 2 (cosh.f64 x))))
(/.f64 (sinh.f64 x) (cosh.f64 x))
(.f64 (sinh.f64 x) (.f64 2 (/.f64 1/2 (cosh.f64 x))))
(/.f64 (sinh.f64 x) (cosh.f64 x))
(.f64 (.f64 2 (sinh.f64 x)) (/.f64 1/2 (cosh.f64 x)))
(/.f64 (sinh.f64 x) (cosh.f64 x))
(*.f64 (/.f64 (sinh.f64 x) (cosh.f64 x)) 1)
(/.f64 (sinh.f64 x) (cosh.f64 x))
(*.f64 1 (/.f64 (sinh.f64 x) (cosh.f64 x)))
(/.f64 (sinh.f64 x) (cosh.f64 x))
(*.f64 (cbrt.f64 (/.f64 (sinh.f64 x) (cosh.f64 x))) (pow.f64 (cbrt.f64 (/.f64 (sinh.f64 x) (cosh.f64 x))) 2))
(/.f64 (sinh.f64 x) (cosh.f64 x))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (sinh.f64 x) (cosh.f64 x))) 2) (cbrt.f64 (/.f64 (sinh.f64 x) (cosh.f64 x))))
(/.f64 (sinh.f64 x) (cosh.f64 x))
(.f64 (cbrt.f64 (.f64 4 (pow.f64 (sinh.f64 x) 2))) (.f64 (cbrt.f64 (.f64 2 (sinh.f64 x))) (/.f64 1/2 (cosh.f64 x))))
(.f64 (cbrt.f64 (.f64 4 (pow.f64 (sinh.f64 x) 2))) (.f64 (/.f64 1/2 (cosh.f64 x)) (cbrt.f64 (.f64 (sinh.f64 x) 2))))
(.f64 (/.f64 1/2 (cosh.f64 x)) (.f64 (cbrt.f64 (.f64 4 (pow.f64 (sinh.f64 x) 2))) (cbrt.f64 (.f64 (sinh.f64 x) 2))))
(*.f64 (sqrt.f64 (/.f64 (sinh.f64 x) (cosh.f64 x))) (sqrt.f64 (/.f64 (sinh.f64 x) (cosh.f64 x))))
(/.f64 (sinh.f64 x) (cosh.f64 x))
(.f64 (sqrt.f64 (.f64 2 (sinh.f64 x))) (.f64 (sqrt.f64 (.f64 2 (sinh.f64 x))) (/.f64 1/2 (cosh.f64 x))))
(/.f64 (sinh.f64 x) (cosh.f64 x))
(.f64 (.f64 (sinh.f64 x) -2) (/.f64 1 (*.f64 (cosh.f64 x) -2)))
(/.f64 (sinh.f64 x) (cosh.f64 x))
(.f64 (/.f64 1/2 (cosh.f64 x)) (.f64 2 (sinh.f64 x)))
(/.f64 (sinh.f64 x) (cosh.f64 x))
(.f64 1/2 (/.f64 (.f64 2 (sinh.f64 x)) (cosh.f64 x)))
(/.f64 (sinh.f64 x) (cosh.f64 x))
(*.f64 (/.f64 (sinh.f64 x) 2) (/.f64 2 (cosh.f64 x)))
(/.f64 (sinh.f64 x) (cosh.f64 x))
(*.f64 (/.f64 2 (cosh.f64 x)) (/.f64 (sinh.f64 x) 2))
(/.f64 (sinh.f64 x) (cosh.f64 x))
(.f64 (/.f64 (cbrt.f64 (.f64 4 (pow.f64 (sinh.f64 x) 2))) 2) (/.f64 (cbrt.f64 (*.f64 2 (sinh.f64 x))) (cosh.f64 x)))
(.f64 (/.f64 (cbrt.f64 (.f64 4 (pow.f64 (sinh.f64 x) 2))) 2) (/.f64 (cbrt.f64 (*.f64 (sinh.f64 x) 2)) (cosh.f64 x)))
(.f64 (cbrt.f64 (.f64 4 (pow.f64 (sinh.f64 x) 2))) (/.f64 (cbrt.f64 (.f64 (sinh.f64 x) 2)) (.f64 (cosh.f64 x) 2)))
(.f64 (/.f64 (sqrt.f64 (.f64 2 (sinh.f64 x))) 2) (/.f64 (sqrt.f64 (*.f64 2 (sinh.f64 x))) (cosh.f64 x)))
(/.f64 (sinh.f64 x) (cosh.f64 x))
(.f64 (/.f64 (sqrt.f64 (.f64 2 (sinh.f64 x))) (cosh.f64 x)) (/.f64 (sqrt.f64 (*.f64 2 (sinh.f64 x))) 2))
(/.f64 (sinh.f64 x) (cosh.f64 x))
(*.f64 (/.f64 1 (cosh.f64 x)) (sinh.f64 x))
(/.f64 (sinh.f64 x) (cosh.f64 x))
(.f64 (/.f64 (cbrt.f64 (.f64 4 (pow.f64 (sinh.f64 x) 2))) (cosh.f64 x)) (/.f64 (cbrt.f64 (*.f64 2 (sinh.f64 x))) 2))
(.f64 (/.f64 (cbrt.f64 (.f64 4 (pow.f64 (sinh.f64 x) 2))) 2) (/.f64 (cbrt.f64 (*.f64 (sinh.f64 x) 2)) (cosh.f64 x)))
(.f64 (cbrt.f64 (.f64 4 (pow.f64 (sinh.f64 x) 2))) (/.f64 (cbrt.f64 (.f64 (sinh.f64 x) 2)) (.f64 (cosh.f64 x) 2)))
(.f64 (/.f64 (sinh.f64 x) (.f64 2 (cosh.f64 x))) 2)
(/.f64 (sinh.f64 x) (cosh.f64 x))
(.f64 (/.f64 2 (.f64 2 (cosh.f64 x))) (sinh.f64 x))
(/.f64 (sinh.f64 x) (cosh.f64 x))
(.f64 (/.f64 (cbrt.f64 (.f64 4 (pow.f64 (sinh.f64 x) 2))) 1) (/.f64 (cbrt.f64 (.f64 2 (sinh.f64 x))) (.f64 2 (cosh.f64 x))))
(.f64 (/.f64 (cbrt.f64 (.f64 4 (pow.f64 (sinh.f64 x) 2))) 2) (/.f64 (cbrt.f64 (*.f64 (sinh.f64 x) 2)) (cosh.f64 x)))
(.f64 (cbrt.f64 (.f64 4 (pow.f64 (sinh.f64 x) 2))) (/.f64 (cbrt.f64 (.f64 (sinh.f64 x) 2)) (.f64 (cosh.f64 x) 2)))
(.f64 (/.f64 (sqrt.f64 (.f64 2 (sinh.f64 x))) 1) (/.f64 (sqrt.f64 (.f64 2 (sinh.f64 x))) (.f64 2 (cosh.f64 x))))
(/.f64 (sinh.f64 x) (cosh.f64 x))
(.f64 (/.f64 2 (pow.f64 (cbrt.f64 (.f64 2 (cosh.f64 x))) 2)) (/.f64 (sinh.f64 x) (cbrt.f64 (*.f64 2 (cosh.f64 x)))))
(.f64 (/.f64 2 (pow.f64 (cbrt.f64 (.f64 (cosh.f64 x) 2)) 2)) (/.f64 (sinh.f64 x) (cbrt.f64 (*.f64 (cosh.f64 x) 2))))
(.f64 (/.f64 (sinh.f64 x) (pow.f64 (cbrt.f64 (.f64 2 (cosh.f64 x))) 2)) (/.f64 2 (cbrt.f64 (*.f64 2 (cosh.f64 x)))))
(.f64 (/.f64 2 (pow.f64 (cbrt.f64 (.f64 (cosh.f64 x) 2)) 2)) (/.f64 (sinh.f64 x) (cbrt.f64 (*.f64 (cosh.f64 x) 2))))
(.f64 (/.f64 1 (pow.f64 (cbrt.f64 (.f64 2 (cosh.f64 x))) 2)) (/.f64 (.f64 2 (sinh.f64 x)) (cbrt.f64 (.f64 2 (cosh.f64 x)))))
(.f64 (/.f64 2 (pow.f64 (cbrt.f64 (.f64 (cosh.f64 x) 2)) 2)) (/.f64 (sinh.f64 x) (cbrt.f64 (*.f64 (cosh.f64 x) 2))))
(.f64 (/.f64 (cbrt.f64 (.f64 4 (pow.f64 (sinh.f64 x) 2))) (pow.f64 (cbrt.f64 (*.f64 2 (cosh.f64 x))) 2)) (cbrt.f64 (/.f64 (sinh.f64 x) (cosh.f64 x))))
(.f64 (cbrt.f64 (/.f64 (sinh.f64 x) (cosh.f64 x))) (/.f64 (cbrt.f64 (.f64 4 (pow.f64 (sinh.f64 x) 2))) (pow.f64 (cbrt.f64 (*.f64 (cosh.f64 x) 2)) 2)))
(/.f64 (cbrt.f64 (.f64 4 (pow.f64 (sinh.f64 x) 2))) (/.f64 (pow.f64 (cbrt.f64 (.f64 (cosh.f64 x) 2)) 2) (cbrt.f64 (/.f64 (sinh.f64 x) (cosh.f64 x)))))
(.f64 (/.f64 (sqrt.f64 (.f64 2 (sinh.f64 x))) (pow.f64 (cbrt.f64 (.f64 2 (cosh.f64 x))) 2)) (/.f64 (sqrt.f64 (.f64 2 (sinh.f64 x))) (cbrt.f64 (*.f64 2 (cosh.f64 x)))))
(.f64 (/.f64 2 (pow.f64 (cbrt.f64 (.f64 (cosh.f64 x) 2)) 2)) (/.f64 (sinh.f64 x) (cbrt.f64 (*.f64 (cosh.f64 x) 2))))
(.f64 (/.f64 2 (sqrt.f64 (.f64 2 (cosh.f64 x)))) (/.f64 (sinh.f64 x) (sqrt.f64 (*.f64 2 (cosh.f64 x)))))
(.f64 (/.f64 2 (sqrt.f64 (.f64 (cosh.f64 x) 2))) (/.f64 (sinh.f64 x) (sqrt.f64 (*.f64 (cosh.f64 x) 2))))
(.f64 (/.f64 (sinh.f64 x) (sqrt.f64 (.f64 2 (cosh.f64 x)))) (/.f64 2 (sqrt.f64 (*.f64 2 (cosh.f64 x)))))
(.f64 (/.f64 2 (sqrt.f64 (.f64 (cosh.f64 x) 2))) (/.f64 (sinh.f64 x) (sqrt.f64 (*.f64 (cosh.f64 x) 2))))
(.f64 (/.f64 1 (sqrt.f64 (.f64 2 (cosh.f64 x)))) (/.f64 (.f64 2 (sinh.f64 x)) (sqrt.f64 (.f64 2 (cosh.f64 x)))))
(.f64 (/.f64 2 (sqrt.f64 (.f64 (cosh.f64 x) 2))) (/.f64 (sinh.f64 x) (sqrt.f64 (*.f64 (cosh.f64 x) 2))))
(.f64 (/.f64 (cbrt.f64 (.f64 4 (pow.f64 (sinh.f64 x) 2))) (sqrt.f64 (.f64 2 (cosh.f64 x)))) (/.f64 (cbrt.f64 (.f64 2 (sinh.f64 x))) (sqrt.f64 (*.f64 2 (cosh.f64 x)))))
(.f64 (/.f64 (cbrt.f64 (.f64 4 (pow.f64 (sinh.f64 x) 2))) (sqrt.f64 (.f64 (cosh.f64 x) 2))) (/.f64 (cbrt.f64 (.f64 (sinh.f64 x) 2)) (sqrt.f64 (*.f64 (cosh.f64 x) 2))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sinh.f64 x)) 2) 1) (/.f64 (cbrt.f64 (sinh.f64 x)) (cosh.f64 x)))
(/.f64 (sinh.f64 x) (cosh.f64 x))
(*.f64 (/.f64 (sqrt.f64 (sinh.f64 x)) 1) (/.f64 (sqrt.f64 (sinh.f64 x)) (cosh.f64 x)))
(/.f64 (sinh.f64 x) (cosh.f64 x))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (cosh.f64 x)) 2)) (/.f64 (sinh.f64 x) (cbrt.f64 (cosh.f64 x))))
(/.f64 (/.f64 (sinh.f64 x) (cbrt.f64 (cosh.f64 x))) (pow.f64 (cbrt.f64 (cosh.f64 x)) 2))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sinh.f64 x)) 2) (pow.f64 (cbrt.f64 (cosh.f64 x)) 2)) (cbrt.f64 (/.f64 (sinh.f64 x) (cosh.f64 x))))
(*.f64 (cbrt.f64 (/.f64 (sinh.f64 x) (cosh.f64 x))) (/.f64 (pow.f64 (cbrt.f64 (sinh.f64 x)) 2) (pow.f64 (cbrt.f64 (cosh.f64 x)) 2)))
(*.f64 (/.f64 (sqrt.f64 (sinh.f64 x)) (pow.f64 (cbrt.f64 (cosh.f64 x)) 2)) (/.f64 (sqrt.f64 (sinh.f64 x)) (cbrt.f64 (cosh.f64 x))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (cosh.f64 x)) 2)) (/.f64 (sinh.f64 x) (cbrt.f64 (cosh.f64 x))))
(/.f64 (/.f64 (sinh.f64 x) (cbrt.f64 (cosh.f64 x))) (pow.f64 (cbrt.f64 (cosh.f64 x)) 2))
(*.f64 (/.f64 1 (sqrt.f64 (cosh.f64 x))) (/.f64 (sinh.f64 x) (sqrt.f64 (cosh.f64 x))))
(/.f64 (/.f64 (sinh.f64 x) (sqrt.f64 (cosh.f64 x))) (sqrt.f64 (cosh.f64 x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sinh.f64 x)) 2) (sqrt.f64 (cosh.f64 x))) (/.f64 (cbrt.f64 (sinh.f64 x)) (sqrt.f64 (cosh.f64 x))))
(*.f64 (/.f64 1 (sqrt.f64 (cosh.f64 x))) (/.f64 (sinh.f64 x) (sqrt.f64 (cosh.f64 x))))
(/.f64 (/.f64 (sinh.f64 x) (sqrt.f64 (cosh.f64 x))) (sqrt.f64 (cosh.f64 x)))
(pow.f64 (/.f64 (sinh.f64 x) (cosh.f64 x)) 1)
(/.f64 (sinh.f64 x) (cosh.f64 x))
(pow.f64 (pow.f64 (/.f64 (sinh.f64 x) (cosh.f64 x)) 3) 1/3)
(/.f64 (sinh.f64 x) (cosh.f64 x))
(pow.f64 (cbrt.f64 (/.f64 (sinh.f64 x) (cosh.f64 x))) 3)
(/.f64 (sinh.f64 x) (cosh.f64 x))
(pow.f64 (sqrt.f64 (/.f64 (sinh.f64 x) (cosh.f64 x))) 2)
(/.f64 (sinh.f64 x) (cosh.f64 x))
(pow.f64 (/.f64 (cosh.f64 x) (sinh.f64 x)) -1)
(/.f64 (sinh.f64 x) (cosh.f64 x))
(neg.f64 (/.f64 (.f64 2 (sinh.f64 x)) (.f64 (cosh.f64 x) -2)))
(/.f64 (sinh.f64 x) (cosh.f64 x))
(sqrt.f64 (pow.f64 (/.f64 (sinh.f64 x) (cosh.f64 x)) 2))
(/.f64 (sinh.f64 x) (cosh.f64 x))
(log.f64 (exp.f64 (/.f64 (sinh.f64 x) (cosh.f64 x))))
(/.f64 (sinh.f64 x) (cosh.f64 x))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (sinh.f64 x) (cosh.f64 x)))))
(/.f64 (sinh.f64 x) (cosh.f64 x))
(cbrt.f64 (pow.f64 (/.f64 (sinh.f64 x) (cosh.f64 x)) 3))
(/.f64 (sinh.f64 x) (cosh.f64 x))
(cbrt.f64 (/.f64 (pow.f64 (.f64 2 (sinh.f64 x)) 3) (pow.f64 (.f64 2 (cosh.f64 x)) 3)))
(/.f64 (sinh.f64 x) (cosh.f64 x))
(cbrt.f64 (/.f64 (pow.f64 (sinh.f64 x) 3) (pow.f64 (cosh.f64 x) 3)))
(/.f64 (sinh.f64 x) (cosh.f64 x))
(expm1.f64 (log1p.f64 (/.f64 (sinh.f64 x) (cosh.f64 x))))
(/.f64 (sinh.f64 x) (cosh.f64 x))
(log1p.f64 (expm1.f64 (/.f64 (sinh.f64 x) (cosh.f64 x))))
(/.f64 (sinh.f64 x) (cosh.f64 x))
(exp.f64 (log.f64 (/.f64 (sinh.f64 x) (cosh.f64 x))))
(/.f64 (sinh.f64 x) (cosh.f64 x))
(-.f64 (exp.f64 (log1p.f64 (sinh.f64 x))) 1)
(sinh.f64 x)
(-.f64 (/.f64 (exp.f64 x) 2) (/.f64 (exp.f64 (neg.f64 x)) 2))
(sinh.f64 x)
(*.f64 (sinh.f64 x) 1)
(sinh.f64 x)
(.f64 (.f64 2 (sinh.f64 x)) 1/2)
(sinh.f64 x)
(*.f64 1 (sinh.f64 x))
(sinh.f64 x)
(*.f64 (cbrt.f64 (sinh.f64 x)) (pow.f64 (cbrt.f64 (sinh.f64 x)) 2))
(sinh.f64 x)
(*.f64 (pow.f64 (cbrt.f64 (sinh.f64 x)) 2) (cbrt.f64 (sinh.f64 x)))
(sinh.f64 x)
(*.f64 (sqrt.f64 (sinh.f64 x)) (sqrt.f64 (sinh.f64 x)))
(sinh.f64 x)
(/.f64 2 (/.f64 2 (sinh.f64 x)))
(sinh.f64 x)
(/.f64 (sinh.f64 x) 1)
(sinh.f64 x)
(/.f64 (*.f64 2 (sinh.f64 x)) 2)
(sinh.f64 x)
(/.f64 1 (/.f64 2 (*.f64 2 (sinh.f64 x))))
(sinh.f64 x)
(/.f64 (cbrt.f64 (.f64 4 (pow.f64 (sinh.f64 x) 2))) (/.f64 2 (cbrt.f64 (.f64 2 (sinh.f64 x)))))
(.f64 (/.f64 (cbrt.f64 (.f64 4 (pow.f64 (sinh.f64 x) 2))) 2) (cbrt.f64 (*.f64 (sinh.f64 x) 2)))
(.f64 (cbrt.f64 (.f64 4 (pow.f64 (sinh.f64 x) 2))) (/.f64 (cbrt.f64 (*.f64 (sinh.f64 x) 2)) 2))
(/.f64 (sqrt.f64 (.f64 2 (sinh.f64 x))) (/.f64 2 (sqrt.f64 (.f64 2 (sinh.f64 x)))))
(sinh.f64 x)
(/.f64 (*.f64 (sinh.f64 x) -2) -2)
(sinh.f64 x)
(pow.f64 (sinh.f64 x) 1)
(sinh.f64 x)
(pow.f64 (pow.f64 (sinh.f64 x) 3) 1/3)
(sinh.f64 x)
(pow.f64 (cbrt.f64 (sinh.f64 x)) 3)
(sinh.f64 x)
(pow.f64 (sqrt.f64 (sinh.f64 x)) 2)
(sinh.f64 x)
(sqrt.f64 (pow.f64 (sinh.f64 x) 2))
(sinh.f64 x)
(log.f64 (exp.f64 (sinh.f64 x)))
(sinh.f64 x)
(log.f64 (+.f64 1 (expm1.f64 (sinh.f64 x))))
(sinh.f64 x)
(cbrt.f64 (pow.f64 (sinh.f64 x) 3))
(sinh.f64 x)
(expm1.f64 (log1p.f64 (sinh.f64 x)))
(sinh.f64 x)
(log1p.f64 (expm1.f64 (sinh.f64 x)))
(sinh.f64 x)
(exp.f64 (log.f64 (sinh.f64 x)))
(sinh.f64 x)

eval35.0ms (0.9%)

Compiler: Compiled 1670 to 979 computations (41.4% saved)

prune17.0ms (0.5%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	121	1	122
Fresh	0	1	1
Picked	1	0	1
Done	0	3	3
Total	122	5	127

Error

Counts

127 → 5

Alt Table

Click to see full alt table

Status	Error	Program
▶	2.8b	(/.f64 (sinh.f64 x) (cosh.f64 x))
✓	3.9b	(+.f64 (*.f64 -1/3 (pow.f64 x 3)) x)
✓	0.0b	(tanh.f64 x)
✓	54.3b	(log.f64 (exp.f64 (tanh.f64 x)))
	4.0b	x

Compiler

Compiled 24 to 17 computations (29.2% saved)

localize5.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
	0.0b	(sinh.f64 x)
✓	2.7b	(/.f64 (sinh.f64 x) (cosh.f64 x))

Compiler

Compiled 11 to 4 computations (63.6% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

Time	Variable		Point	Expression
0.0ms	x	@	0	(/.f64 (sinh.f64 x) (cosh.f64 x))
0.0ms	x	@	-inf	(/.f64 (sinh.f64 x) (cosh.f64 x))
0.0ms	x	@	inf	(/.f64 (sinh.f64 x) (cosh.f64 x))

rewrite42.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

625×	`pow1_binary64`
581×	`add-log-exp_binary64`
580×	`log1p-expm1-u_binary64`
580×	`expm1-log1p-u_binary64`
568×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	8
1	110	8
2	1519	8

Stop Event

1×	node limit

Counts

1 → 31

Calls

Call 1

Inputs
(/.f64 (sinh.f64 x) (cosh.f64 x))

Outputs

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

simplify42.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

489×	`fma-def_binary64`
429×	`log-div_binary64`
386×	`log-prod_binary64`
288×	`cube-div_binary64`
287×	`div-sub_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	100	672
1	257	582
2	838	492
3	4168	492

Stop Event

1×	node limit

Counts

43 → 46

Calls

Call 1

Inputs
x
(+.f64 (*.f64 -1/3 (pow.f64 x 3)) x)
(+.f64 (.f64 -1/3 (pow.f64 x 3)) (+.f64 (.f64 2/15 (pow.f64 x 5)) x))
(+.f64 (.f64 -17/315 (pow.f64 x 7)) (+.f64 (.f64 -1/3 (pow.f64 x 3)) (+.f64 (*.f64 2/15 (pow.f64 x 5)) x)))
(/.f64 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))) (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))
(/.f64 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))) (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))
(/.f64 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))) (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))
(/.f64 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))) (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))
(/.f64 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))) (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))
(/.f64 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))) (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))
(/.f64 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))) (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))
(/.f64 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))) (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))
(-.f64 (+.f64 1 (/.f64 (sinh.f64 x) (cosh.f64 x))) 1)
(*.f64 (sinh.f64 x) (/.f64 1 (cosh.f64 x)))
(*.f64 (/.f64 (sinh.f64 x) (cosh.f64 x)) 1)
(*.f64 1 (/.f64 (sinh.f64 x) (cosh.f64 x)))
(.f64 (pow.f64 (cbrt.f64 (sinh.f64 x)) 2) (.f64 (cbrt.f64 (sinh.f64 x)) (/.f64 1 (cosh.f64 x))))
(*.f64 (cbrt.f64 (/.f64 (sinh.f64 x) (cosh.f64 x))) (pow.f64 (cbrt.f64 (/.f64 (sinh.f64 x) (cosh.f64 x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (sinh.f64 x) (cosh.f64 x))) 2) (cbrt.f64 (/.f64 (sinh.f64 x) (cosh.f64 x))))
(.f64 (sqrt.f64 (sinh.f64 x)) (.f64 (sqrt.f64 (sinh.f64 x)) (/.f64 1 (cosh.f64 x))))
(*.f64 (sqrt.f64 (/.f64 (sinh.f64 x) (cosh.f64 x))) (sqrt.f64 (/.f64 (sinh.f64 x) (cosh.f64 x))))
(*.f64 (neg.f64 (sinh.f64 x)) (/.f64 1 (neg.f64 (cosh.f64 x))))
(*.f64 (/.f64 1 (cosh.f64 x)) (sinh.f64 x))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sinh.f64 x)) 2) 1) (/.f64 (cbrt.f64 (sinh.f64 x)) (cosh.f64 x)))
(*.f64 (/.f64 (sqrt.f64 (sinh.f64 x)) 1) (/.f64 (sqrt.f64 (sinh.f64 x)) (cosh.f64 x)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (cosh.f64 x)) 2)) (/.f64 (sinh.f64 x) (cbrt.f64 (cosh.f64 x))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sinh.f64 x)) 2) (pow.f64 (cbrt.f64 (cosh.f64 x)) 2)) (cbrt.f64 (/.f64 (sinh.f64 x) (cosh.f64 x))))
(*.f64 (/.f64 (sqrt.f64 (sinh.f64 x)) (pow.f64 (cbrt.f64 (cosh.f64 x)) 2)) (/.f64 (sqrt.f64 (sinh.f64 x)) (cbrt.f64 (cosh.f64 x))))
(*.f64 (/.f64 1 (sqrt.f64 (cosh.f64 x))) (/.f64 (sinh.f64 x) (sqrt.f64 (cosh.f64 x))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sinh.f64 x)) 2) (sqrt.f64 (cosh.f64 x))) (/.f64 (cbrt.f64 (sinh.f64 x)) (sqrt.f64 (cosh.f64 x))))
(.f64 (/.f64 (sinh.f64 x) (.f64 2 (cosh.f64 x))) 2)
(pow.f64 (/.f64 (sinh.f64 x) (cosh.f64 x)) 1)
(pow.f64 (pow.f64 (/.f64 (sinh.f64 x) (cosh.f64 x)) 3) 1/3)
(pow.f64 (cbrt.f64 (/.f64 (sinh.f64 x) (cosh.f64 x))) 3)
(pow.f64 (sqrt.f64 (/.f64 (sinh.f64 x) (cosh.f64 x))) 2)
(pow.f64 (/.f64 (cosh.f64 x) (sinh.f64 x)) -1)
(neg.f64 (/.f64 (sinh.f64 x) (neg.f64 (cosh.f64 x))))
(sqrt.f64 (pow.f64 (/.f64 (sinh.f64 x) (cosh.f64 x)) 2))
(log.f64 (exp.f64 (/.f64 (sinh.f64 x) (cosh.f64 x))))
(cbrt.f64 (pow.f64 (/.f64 (sinh.f64 x) (cosh.f64 x)) 3))
(expm1.f64 (log1p.f64 (/.f64 (sinh.f64 x) (cosh.f64 x))))
(log1p.f64 (expm1.f64 (/.f64 (sinh.f64 x) (cosh.f64 x))))
(exp.f64 (log.f64 (/.f64 (sinh.f64 x) (cosh.f64 x))))

Outputs
x
(+.f64 (*.f64 -1/3 (pow.f64 x 3)) x)
(fma.f64 -1/3 (pow.f64 x 3) x)
(+.f64 (.f64 -1/3 (pow.f64 x 3)) (+.f64 (.f64 2/15 (pow.f64 x 5)) x))
(fma.f64 -1/3 (pow.f64 x 3) (fma.f64 2/15 (pow.f64 x 5) x))
(+.f64 (.f64 -17/315 (pow.f64 x 7)) (+.f64 (.f64 -1/3 (pow.f64 x 3)) (+.f64 (*.f64 2/15 (pow.f64 x 5)) x)))
(fma.f64 -17/315 (pow.f64 x 7) (fma.f64 -1/3 (pow.f64 x 3) (fma.f64 2/15 (pow.f64 x 5) x)))
(fma.f64 -1/3 (pow.f64 x 3) (fma.f64 -17/315 (pow.f64 x 7) (fma.f64 2/15 (pow.f64 x 5) x)))
(fma.f64 -1/3 (pow.f64 x 3) (fma.f64 2/15 (pow.f64 x 5) (fma.f64 -17/315 (pow.f64 x 7) x)))
(/.f64 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))) (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/.f64 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))) (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/.f64 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))) (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/.f64 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))) (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/.f64 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))) (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/.f64 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))) (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/.f64 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))) (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/.f64 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))) (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(-.f64 (+.f64 1 (/.f64 (sinh.f64 x) (cosh.f64 x))) 1)
(+.f64 1 (-.f64 (/.f64 (sinh.f64 x) (cosh.f64 x)) 1))
(+.f64 (/.f64 (sinh.f64 x) (cosh.f64 x)) 0)
(/.f64 (sinh.f64 x) (cosh.f64 x))
(*.f64 (sinh.f64 x) (/.f64 1 (cosh.f64 x)))
(+.f64 1 (-.f64 (/.f64 (sinh.f64 x) (cosh.f64 x)) 1))
(+.f64 (/.f64 (sinh.f64 x) (cosh.f64 x)) 0)
(/.f64 (sinh.f64 x) (cosh.f64 x))
(*.f64 (/.f64 (sinh.f64 x) (cosh.f64 x)) 1)
(+.f64 1 (-.f64 (/.f64 (sinh.f64 x) (cosh.f64 x)) 1))
(+.f64 (/.f64 (sinh.f64 x) (cosh.f64 x)) 0)
(/.f64 (sinh.f64 x) (cosh.f64 x))
(*.f64 1 (/.f64 (sinh.f64 x) (cosh.f64 x)))
(+.f64 1 (-.f64 (/.f64 (sinh.f64 x) (cosh.f64 x)) 1))
(+.f64 (/.f64 (sinh.f64 x) (cosh.f64 x)) 0)
(/.f64 (sinh.f64 x) (cosh.f64 x))
(.f64 (pow.f64 (cbrt.f64 (sinh.f64 x)) 2) (.f64 (cbrt.f64 (sinh.f64 x)) (/.f64 1 (cosh.f64 x))))
(+.f64 1 (-.f64 (/.f64 (sinh.f64 x) (cosh.f64 x)) 1))
(+.f64 (/.f64 (sinh.f64 x) (cosh.f64 x)) 0)
(/.f64 (sinh.f64 x) (cosh.f64 x))
(*.f64 (cbrt.f64 (/.f64 (sinh.f64 x) (cosh.f64 x))) (pow.f64 (cbrt.f64 (/.f64 (sinh.f64 x) (cosh.f64 x))) 2))
(+.f64 1 (-.f64 (/.f64 (sinh.f64 x) (cosh.f64 x)) 1))
(+.f64 (/.f64 (sinh.f64 x) (cosh.f64 x)) 0)
(/.f64 (sinh.f64 x) (cosh.f64 x))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (sinh.f64 x) (cosh.f64 x))) 2) (cbrt.f64 (/.f64 (sinh.f64 x) (cosh.f64 x))))
(+.f64 1 (-.f64 (/.f64 (sinh.f64 x) (cosh.f64 x)) 1))
(+.f64 (/.f64 (sinh.f64 x) (cosh.f64 x)) 0)
(/.f64 (sinh.f64 x) (cosh.f64 x))
(.f64 (sqrt.f64 (sinh.f64 x)) (.f64 (sqrt.f64 (sinh.f64 x)) (/.f64 1 (cosh.f64 x))))
(+.f64 1 (-.f64 (/.f64 (sinh.f64 x) (cosh.f64 x)) 1))
(+.f64 (/.f64 (sinh.f64 x) (cosh.f64 x)) 0)
(/.f64 (sinh.f64 x) (cosh.f64 x))
(*.f64 (sqrt.f64 (/.f64 (sinh.f64 x) (cosh.f64 x))) (sqrt.f64 (/.f64 (sinh.f64 x) (cosh.f64 x))))
(+.f64 1 (-.f64 (/.f64 (sinh.f64 x) (cosh.f64 x)) 1))
(+.f64 (/.f64 (sinh.f64 x) (cosh.f64 x)) 0)
(/.f64 (sinh.f64 x) (cosh.f64 x))
(*.f64 (neg.f64 (sinh.f64 x)) (/.f64 1 (neg.f64 (cosh.f64 x))))
(+.f64 1 (-.f64 (/.f64 (sinh.f64 x) (cosh.f64 x)) 1))
(+.f64 (/.f64 (sinh.f64 x) (cosh.f64 x)) 0)
(/.f64 (sinh.f64 x) (cosh.f64 x))
(*.f64 (/.f64 1 (cosh.f64 x)) (sinh.f64 x))
(+.f64 1 (-.f64 (/.f64 (sinh.f64 x) (cosh.f64 x)) 1))
(+.f64 (/.f64 (sinh.f64 x) (cosh.f64 x)) 0)
(/.f64 (sinh.f64 x) (cosh.f64 x))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sinh.f64 x)) 2) 1) (/.f64 (cbrt.f64 (sinh.f64 x)) (cosh.f64 x)))
(+.f64 1 (-.f64 (/.f64 (sinh.f64 x) (cosh.f64 x)) 1))
(+.f64 (/.f64 (sinh.f64 x) (cosh.f64 x)) 0)
(/.f64 (sinh.f64 x) (cosh.f64 x))
(*.f64 (/.f64 (sqrt.f64 (sinh.f64 x)) 1) (/.f64 (sqrt.f64 (sinh.f64 x)) (cosh.f64 x)))
(+.f64 1 (-.f64 (/.f64 (sinh.f64 x) (cosh.f64 x)) 1))
(+.f64 (/.f64 (sinh.f64 x) (cosh.f64 x)) 0)
(/.f64 (sinh.f64 x) (cosh.f64 x))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (cosh.f64 x)) 2)) (/.f64 (sinh.f64 x) (cbrt.f64 (cosh.f64 x))))
(+.f64 1 (-.f64 (/.f64 (sinh.f64 x) (cosh.f64 x)) 1))
(+.f64 (/.f64 (sinh.f64 x) (cosh.f64 x)) 0)
(/.f64 (sinh.f64 x) (cosh.f64 x))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sinh.f64 x)) 2) (pow.f64 (cbrt.f64 (cosh.f64 x)) 2)) (cbrt.f64 (/.f64 (sinh.f64 x) (cosh.f64 x))))
(*.f64 (cbrt.f64 (/.f64 (sinh.f64 x) (cosh.f64 x))) (/.f64 (pow.f64 (cbrt.f64 (sinh.f64 x)) 2) (pow.f64 (cbrt.f64 (cosh.f64 x)) 2)))
(*.f64 (/.f64 (sqrt.f64 (sinh.f64 x)) (pow.f64 (cbrt.f64 (cosh.f64 x)) 2)) (/.f64 (sqrt.f64 (sinh.f64 x)) (cbrt.f64 (cosh.f64 x))))
(+.f64 1 (-.f64 (/.f64 (sinh.f64 x) (cosh.f64 x)) 1))
(+.f64 (/.f64 (sinh.f64 x) (cosh.f64 x)) 0)
(/.f64 (sinh.f64 x) (cosh.f64 x))
(*.f64 (/.f64 1 (sqrt.f64 (cosh.f64 x))) (/.f64 (sinh.f64 x) (sqrt.f64 (cosh.f64 x))))
(+.f64 1 (-.f64 (/.f64 (sinh.f64 x) (cosh.f64 x)) 1))
(+.f64 (/.f64 (sinh.f64 x) (cosh.f64 x)) 0)
(/.f64 (sinh.f64 x) (cosh.f64 x))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sinh.f64 x)) 2) (sqrt.f64 (cosh.f64 x))) (/.f64 (cbrt.f64 (sinh.f64 x)) (sqrt.f64 (cosh.f64 x))))
(+.f64 1 (-.f64 (/.f64 (sinh.f64 x) (cosh.f64 x)) 1))
(+.f64 (/.f64 (sinh.f64 x) (cosh.f64 x)) 0)
(/.f64 (sinh.f64 x) (cosh.f64 x))
(.f64 (/.f64 (sinh.f64 x) (.f64 2 (cosh.f64 x))) 2)
(+.f64 1 (-.f64 (/.f64 (sinh.f64 x) (cosh.f64 x)) 1))
(+.f64 (/.f64 (sinh.f64 x) (cosh.f64 x)) 0)
(/.f64 (sinh.f64 x) (cosh.f64 x))
(pow.f64 (/.f64 (sinh.f64 x) (cosh.f64 x)) 1)
(+.f64 1 (-.f64 (/.f64 (sinh.f64 x) (cosh.f64 x)) 1))
(+.f64 (/.f64 (sinh.f64 x) (cosh.f64 x)) 0)
(/.f64 (sinh.f64 x) (cosh.f64 x))
(pow.f64 (pow.f64 (/.f64 (sinh.f64 x) (cosh.f64 x)) 3) 1/3)
(+.f64 1 (-.f64 (/.f64 (sinh.f64 x) (cosh.f64 x)) 1))
(+.f64 (/.f64 (sinh.f64 x) (cosh.f64 x)) 0)
(/.f64 (sinh.f64 x) (cosh.f64 x))
(pow.f64 (cbrt.f64 (/.f64 (sinh.f64 x) (cosh.f64 x))) 3)
(+.f64 1 (-.f64 (/.f64 (sinh.f64 x) (cosh.f64 x)) 1))
(+.f64 (/.f64 (sinh.f64 x) (cosh.f64 x)) 0)
(/.f64 (sinh.f64 x) (cosh.f64 x))
(pow.f64 (sqrt.f64 (/.f64 (sinh.f64 x) (cosh.f64 x))) 2)
(+.f64 1 (-.f64 (/.f64 (sinh.f64 x) (cosh.f64 x)) 1))
(+.f64 (/.f64 (sinh.f64 x) (cosh.f64 x)) 0)
(/.f64 (sinh.f64 x) (cosh.f64 x))
(pow.f64 (/.f64 (cosh.f64 x) (sinh.f64 x)) -1)
(+.f64 1 (-.f64 (/.f64 (sinh.f64 x) (cosh.f64 x)) 1))
(+.f64 (/.f64 (sinh.f64 x) (cosh.f64 x)) 0)
(/.f64 (sinh.f64 x) (cosh.f64 x))
(neg.f64 (/.f64 (sinh.f64 x) (neg.f64 (cosh.f64 x))))
(+.f64 1 (-.f64 (/.f64 (sinh.f64 x) (cosh.f64 x)) 1))
(+.f64 (/.f64 (sinh.f64 x) (cosh.f64 x)) 0)
(/.f64 (sinh.f64 x) (cosh.f64 x))
(sqrt.f64 (pow.f64 (/.f64 (sinh.f64 x) (cosh.f64 x)) 2))
(+.f64 1 (-.f64 (/.f64 (sinh.f64 x) (cosh.f64 x)) 1))
(+.f64 (/.f64 (sinh.f64 x) (cosh.f64 x)) 0)
(/.f64 (sinh.f64 x) (cosh.f64 x))
(log.f64 (exp.f64 (/.f64 (sinh.f64 x) (cosh.f64 x))))
(+.f64 1 (-.f64 (/.f64 (sinh.f64 x) (cosh.f64 x)) 1))
(+.f64 (/.f64 (sinh.f64 x) (cosh.f64 x)) 0)
(/.f64 (sinh.f64 x) (cosh.f64 x))
(cbrt.f64 (pow.f64 (/.f64 (sinh.f64 x) (cosh.f64 x)) 3))
(+.f64 1 (-.f64 (/.f64 (sinh.f64 x) (cosh.f64 x)) 1))
(+.f64 (/.f64 (sinh.f64 x) (cosh.f64 x)) 0)
(/.f64 (sinh.f64 x) (cosh.f64 x))
(expm1.f64 (log1p.f64 (/.f64 (sinh.f64 x) (cosh.f64 x))))
(+.f64 1 (-.f64 (/.f64 (sinh.f64 x) (cosh.f64 x)) 1))
(+.f64 (/.f64 (sinh.f64 x) (cosh.f64 x)) 0)
(/.f64 (sinh.f64 x) (cosh.f64 x))
(log1p.f64 (expm1.f64 (/.f64 (sinh.f64 x) (cosh.f64 x))))
(+.f64 1 (-.f64 (/.f64 (sinh.f64 x) (cosh.f64 x)) 1))
(+.f64 (/.f64 (sinh.f64 x) (cosh.f64 x)) 0)
(/.f64 (sinh.f64 x) (cosh.f64 x))
(exp.f64 (log.f64 (/.f64 (sinh.f64 x) (cosh.f64 x))))
(+.f64 1 (-.f64 (/.f64 (sinh.f64 x) (cosh.f64 x)) 1))
(+.f64 (/.f64 (sinh.f64 x) (cosh.f64 x)) 0)
(/.f64 (sinh.f64 x) (cosh.f64 x))

eval18.0ms (0.5%)

Compiler: Compiled 930 to 455 computations (51.1% saved)

prune11.0ms (0.3%)

Pruning

5 alts after pruning (1 fresh and 4 done)

	Pruned	Kept	Total
New	86	0	86
Fresh	0	1	1
Picked	0	1	1
Done	0	3	3
Total	86	5	91

Error

Counts

91 → 5

Alt Table

Click to see full alt table

Status	Error	Program
✓	2.8b	(/.f64 (sinh.f64 x) (cosh.f64 x))
✓	3.9b	(+.f64 (*.f64 -1/3 (pow.f64 x 3)) x)
✓	0.0b	(tanh.f64 x)
✓	54.3b	(log.f64 (exp.f64 (tanh.f64 x)))
	4.0b	x

Compiler

Compiled 24 to 17 computations (29.2% saved)

regimes10.0ms (0.3%)

Accuracy

Total -58.4b remaining (-374054.6%)

Threshold costs -58.4b (-374054.6%)

Counts

8 → 1

Calls

Call 1

Inputs
x
(tanh.f64 x)
(+.f64 (*.f64 -1/3 (pow.f64 x 3)) x)
(/.f64 (sinh.f64 x) (cosh.f64 x))
(/.f64 (.f64 2 (sinh.f64 x)) (.f64 2 (cosh.f64 x)))
(+.f64 (.f64 -1/3 (pow.f64 x 3)) (+.f64 (.f64 2/15 (pow.f64 x 5)) x))
(log.f64 (exp.f64 (tanh.f64 x)))
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))

Outputs
(tanh.f64 x)

Calls

2 calls:

6.0ms	x
2.0ms	(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))

Results

Error	Segments	Branch
0.0b	1	`x`
0.0b	1	`(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))`

Compiler

Compiled 71 to 41 computations (42.3% saved)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	3	4

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(tanh.f64 x)
x

Outputs
(tanh.f64 x)
x

Compiler

Compiled 5 to 3 computations (40% saved)

soundness69.0ms (1.8%)

Algorithm

1×	egg-herbie

Rules

937×	`fma-def_binary64`
610×	`associate-/l/_binary64`
418×	`associate-l_binary64`
321×	`associate-r_binary64`
217×	`unswap-sqr_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	105	367
1	270	359
2	935	357
3	4058	293

Stop Event

1×	node limit

Compiler

Compiled 31 to 16 computations (48.4% saved)

end14.0ms (0.4%)

Compiler: Compiled 4 to 2 computations (50% saved)

Details

analyze7.0ms (0.2%)

sample2.4s (64.7%)

preprocess55.0ms (1.5%)

simplify43.0ms (1.2%)

eval0.0ms (0%)

prune1.0ms (0%)

localize10.0ms (0.3%)

series4.0ms (0.1%)

rewrite48.0ms (1.3%)

simplify41.0ms (1.1%)

eval15.0ms (0.4%)

prune48.0ms (1.3%)

localize5.0ms (0.1%)

series4.0ms (0.1%)

rewrite42.0ms (1.1%)

simplify50.0ms (1.4%)

localize2.0ms (0.1%)

localize8.0ms (0.2%)

series3.0ms (0.1%)

rewrite72.0ms (1.9%)

simplify71.0ms (1.9%)

localize16.0ms (0.4%)

series4.0ms (0.1%)

rewrite67.0ms (1.8%)

simplify68.0ms (1.8%)

eval160.0ms (4.3%)

prune70.0ms (1.9%)

localize35.0ms (0.9%)

series6.0ms (0.2%)

rewrite50.0ms (1.3%)

simplify50.0ms (1.3%)

eval35.0ms (0.9%)

prune17.0ms (0.5%)

localize5.0ms (0.1%)

series1.0ms (0%)

rewrite42.0ms (1.1%)

simplify42.0ms (1.1%)

eval18.0ms (0.5%)

prune11.0ms (0.3%)

regimes10.0ms (0.3%)

simplify2.0ms (0.1%)

soundness69.0ms (1.8%)

end14.0ms (0.4%)

Profiling