Details

analyze7.0ms (0.1%)

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)

sample2.7s (55.5%)

Results

1.6s	3972×	body	1024	valid
567.0ms	2047×	body	512	valid
349.0ms	1815×	body	256	valid
244.0ms	422×	body	2048	valid
1.0ms	7×	body	256	unsamplable

Bogosity

preprocess54.0ms (1.1%)

Algorithm

2×	egg-herbie

Rules

1032×	`associate-r`
804×	`*-commutative`
774×	`fma-def`
770×	`times-frac`
752×	`associate-+r+`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	43
1	22	43
2	36	43
3	61	43
4	130	43
5	351	43
6	1046	43
7	2825	43
8	5986	43
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)

simplify60.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

1032×	`associate-r`
804×	`*-commutative`
774×	`fma-def`
770×	`times-frac`
752×	`associate-+r+`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	43
1	22	43
2	36	43
3	61	43
4	130	43
5	351	43
6	1046	43
7	2825	43
8	5986	43

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

58.1b

Counts

2 → 1

Alt Table

Click to see full alt table

Status	Error	Program
▶	58.1b	(/.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 (0.2%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
✓	1.3b	(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
✓	5.3b	(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))

Compiler

Compiled 34 to 7 computations (79.4% saved)

series4.0ms (0.1%)

Counts

3 → 32

Calls

9 calls:

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

rewrite122.0ms (2.5%)

Algorithm

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

Rules

238×	`add-sqr-sqrt`
238×	`add-sqr-sqrt`
230×	`pow1`
230×	`*-un-lft-identity`
230×	`pow1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	33
1	226	33
2	4074	33
0	8	11
1	170	11
2	2644	11
0	8	11
0	10	5
1	226	5
2	4074	5
0	10	5
0	8	11
1	169	11
2	2616	11
0	8	11

Stop Event

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

Counts

3 → 37

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

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

simplify82.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

860×	`associate--r+`
792×	`associate-/l*`
604×	`associate-/r*`
584×	`associate-*r/`
564×	`times-frac`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	144	1097
1	360	1045
2	1524	1023
3	5523	1023

Stop Event

1×	node limit

Counts

69 → 89

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))))
2
(+.f64 2 (pow.f64 x 2))
(+.f64 2 (+.f64 (pow.f64 x 2) (*.f64 1/12 (pow.f64 x 4))))
(+.f64 2 (+.f64 (.f64 1/360 (pow.f64 x 6)) (+.f64 (pow.f64 x 2) (.f64 1/12 (pow.f64 x 4)))))
(+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))
(+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))
(+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))
(+.f64 (exp.f64 (neg.f64 x)) (exp.f64 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)))
(+.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 (sqrt.f64 (.f64 2 (sinh.f64 x))) (sqrt.f64 (*.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 2 (sinh.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))))
(/.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))))))
(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))))
(exp.f64 (log.f64 (*.f64 2 (sinh.f64 x))))
(log1p.f64 (expm1.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 (sqrt.f64 (tanh.f64 x)) (sqrt.f64 (tanh.f64 x)))
(.f64 (.f64 (cbrt.f64 (tanh.f64 x)) (cbrt.f64 (tanh.f64 x))) (cbrt.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)))
(exp.f64 (log.f64 (tanh.f64 x)))
(log1p.f64 (expm1.f64 (tanh.f64 x)))
(tanh.f64 x)
(.f64 1 (.f64 2 (cosh.f64 x)))
(.f64 (sqrt.f64 (.f64 2 (cosh.f64 x))) (sqrt.f64 (*.f64 2 (cosh.f64 x))))
(.f64 (.f64 (cbrt.f64 (.f64 2 (cosh.f64 x))) (cbrt.f64 (.f64 2 (cosh.f64 x)))) (cbrt.f64 (*.f64 2 (cosh.f64 x))))
(*.f64 2 (cosh.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))))
(/.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))))))
(pow.f64 (*.f64 2 (cosh.f64 x)) 1)
(log.f64 (exp.f64 (*.f64 2 (cosh.f64 x))))
(cbrt.f64 (.f64 (.f64 (.f64 2 (cosh.f64 x)) (.f64 2 (cosh.f64 x))) (*.f64 2 (cosh.f64 x))))
(expm1.f64 (log1p.f64 (*.f64 2 (cosh.f64 x))))
(exp.f64 (log.f64 (*.f64 2 (cosh.f64 x))))
(log1p.f64 (expm1.f64 (*.f64 2 (cosh.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)))
(fma.f64 1/3 (pow.f64 x 3) (+.f64 x 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 1/3 (pow.f64 x 3) (fma.f64 1/60 (pow.f64 x 5) (+.f64 x x)))
(+.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 2 x (fma.f64 1/60 (pow.f64 x 5) (fma.f64 1/3 (pow.f64 x 3) (*.f64 1/2520 (pow.f64 x 7)))))
(-.f64 (exp.f64 x) (exp.f64 (*.f64 -1 x)))
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(-.f64 (exp.f64 x) (exp.f64 (*.f64 -1 x)))
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(-.f64 (exp.f64 x) (exp.f64 (*.f64 -1 x)))
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(-.f64 (exp.f64 x) (exp.f64 (*.f64 -1 x)))
(-.f64 (exp.f64 x) (exp.f64 (neg.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))
(+.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)))
(/.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)
2
(+.f64 2 (pow.f64 x 2))
(+.f64 2 (*.f64 x x))
(fma.f64 x x 2)
(+.f64 2 (+.f64 (pow.f64 x 2) (*.f64 1/12 (pow.f64 x 4))))
(+.f64 (+.f64 2 (.f64 x x)) (.f64 1/12 (pow.f64 x 4)))
(+.f64 (fma.f64 x x 2) (*.f64 1/12 (pow.f64 x 4)))
(fma.f64 x x (fma.f64 1/12 (pow.f64 x 4) 2))
(+.f64 2 (+.f64 (.f64 1/360 (pow.f64 x 6)) (+.f64 (pow.f64 x 2) (.f64 1/12 (pow.f64 x 4)))))
(+.f64 2 (fma.f64 1/360 (pow.f64 x 6) (+.f64 (.f64 x x) (.f64 1/12 (pow.f64 x 4)))))
(+.f64 2 (fma.f64 1/360 (pow.f64 x 6) (fma.f64 x x (*.f64 1/12 (pow.f64 x 4)))))
(fma.f64 1/360 (pow.f64 x 6) (fma.f64 x x (fma.f64 1/12 (pow.f64 x 4) 2)))
(+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))
(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))
(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))
(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))
(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(+.f64 (exp.f64 x) (exp.f64 (*.f64 -1 x)))
(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(+.f64 (exp.f64 x) (exp.f64 (*.f64 -1 x)))
(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(+.f64 (exp.f64 x) (exp.f64 (*.f64 -1 x)))
(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(+.f64 (exp.f64 x) (exp.f64 (*.f64 -1 x)))
(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(+.f64 (exp.f64 x) (neg.f64 (exp.f64 (neg.f64 x))))
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(.f64 1 (.f64 2 (sinh.f64 x)))
(*.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 (cbrt.f64 (.f64 2 (sinh.f64 x))) (cbrt.f64 (.f64 2 (sinh.f64 x)))) (cbrt.f64 (*.f64 2 (sinh.f64 x))))
(*.f64 2 (sinh.f64 x))
(*.f64 2 (sinh.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))))
(/.f64 (-.f64 (exp.f64 (+.f64 x x)) (exp.f64 (+.f64 (neg.f64 x) (neg.f64 x)))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/.f64 (-.f64 (pow.f64 (exp.f64 x) 2) (pow.f64 (exp.f64 -2) 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 (pow.f64 (exp.f64 x) 2) (+.f64 1 (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 x) 2) (pow.f64 (exp.f64 -2) x))))
(/.f64 (-.f64 (exp.f64 (.f64 3 x)) (exp.f64 (.f64 x -3))) (+.f64 1 (+.f64 (pow.f64 (exp.f64 x) 2) (pow.f64 (exp.f64 -2) x))))
(pow.f64 (*.f64 2 (sinh.f64 x)) 1)
(*.f64 2 (sinh.f64 x))
(log.f64 (exp.f64 (*.f64 2 (sinh.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 2 (sinh.f64 x))
(expm1.f64 (log1p.f64 (*.f64 2 (sinh.f64 x))))
(*.f64 2 (sinh.f64 x))
(exp.f64 (log.f64 (*.f64 2 (sinh.f64 x))))
(*.f64 2 (sinh.f64 x))
(log1p.f64 (expm1.f64 (*.f64 2 (sinh.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 (sqrt.f64 (tanh.f64 x)) (sqrt.f64 (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)
(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)
(exp.f64 (log.f64 (tanh.f64 x)))
(tanh.f64 x)
(log1p.f64 (expm1.f64 (tanh.f64 x)))
(tanh.f64 x)
(tanh.f64 x)
(.f64 1 (.f64 2 (cosh.f64 x)))
(*.f64 2 (cosh.f64 x))
(.f64 (sqrt.f64 (.f64 2 (cosh.f64 x))) (sqrt.f64 (*.f64 2 (cosh.f64 x))))
(*.f64 2 (cosh.f64 x))
(.f64 (.f64 (cbrt.f64 (.f64 2 (cosh.f64 x))) (cbrt.f64 (.f64 2 (cosh.f64 x)))) (cbrt.f64 (*.f64 2 (cosh.f64 x))))
(*.f64 2 (cosh.f64 x))
(*.f64 2 (cosh.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))))
(*.f64 2 (cosh.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 (neg.f64 x)) (exp.f64 x)))))
(/.f64 (+.f64 (pow.f64 (exp.f64 x) 3) (pow.f64 (exp.f64 (neg.f64 x)) 3)) (+.f64 (pow.f64 (exp.f64 x) 2) (+.f64 -1 (pow.f64 (exp.f64 -2) x))))
(/.f64 (+.f64 (pow.f64 (exp.f64 x) 3) (exp.f64 (.f64 x -3))) (+.f64 (pow.f64 (exp.f64 x) 2) (expm1.f64 (.f64 x -2))))
(/.f64 (+.f64 (exp.f64 (.f64 3 x)) (exp.f64 (.f64 x -3))) (+.f64 (pow.f64 (exp.f64 x) 2) (expm1.f64 (*.f64 x -2))))
(pow.f64 (*.f64 2 (cosh.f64 x)) 1)
(*.f64 2 (cosh.f64 x))
(log.f64 (exp.f64 (*.f64 2 (cosh.f64 x))))
(*.f64 2 (cosh.f64 x))
(cbrt.f64 (.f64 (.f64 (.f64 2 (cosh.f64 x)) (.f64 2 (cosh.f64 x))) (*.f64 2 (cosh.f64 x))))
(*.f64 2 (cosh.f64 x))
(expm1.f64 (log1p.f64 (*.f64 2 (cosh.f64 x))))
(*.f64 2 (cosh.f64 x))
(exp.f64 (log.f64 (*.f64 2 (cosh.f64 x))))
(*.f64 2 (cosh.f64 x))
(log1p.f64 (expm1.f64 (*.f64 2 (cosh.f64 x))))
(*.f64 2 (cosh.f64 x))

eval21.0ms (0.4%)

Compiler: Compiled 1461 to 653 computations (55.3% saved)

prune11.0ms (0.2%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	84	5	89
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	85	5	90

Error

Counts

90 → 5

Alt Table

Click to see full alt table

Status	Error	Program
▶	1.7b	(+.f64 (*.f64 -1/3 (pow.f64 x 3)) x)
▶	32.0b	(*.f64 (sqrt.f64 (tanh.f64 x)) (sqrt.f64 (tanh.f64 x)))
▶	0.0b	(tanh.f64 x)
▶	36.5b	(cbrt.f64 (.f64 (.f64 (tanh.f64 x) (tanh.f64 x)) (tanh.f64 x)))
	1.9b	x

Compiler

Compiled 31 to 18 computations (41.9% saved)

localize8.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(*.f64 (tanh.f64 x) (tanh.f64 x))
✓	0.0b	(tanh.f64 x)
✓	0.1b	(.f64 (.f64 (tanh.f64 x) (tanh.f64 x)) (tanh.f64 x))
✓	36.5b	(cbrt.f64 (.f64 (.f64 (tanh.f64 x) (tanh.f64 x)) (tanh.f64 x)))

Compiler

Compiled 26 to 5 computations (80.8% saved)

series7.0ms (0.1%)

Counts

4 → 48

Calls

12 calls:

Time	Variable		Point	Expression
2.0ms	x	@	-inf	(cbrt.f64 (.f64 (.f64 (tanh.f64 x) (tanh.f64 x)) (tanh.f64 x)))
1.0ms	x	@	inf	(cbrt.f64 (.f64 (.f64 (tanh.f64 x) (tanh.f64 x)) (tanh.f64 x)))
1.0ms	x	@	-inf	(.f64 (.f64 (tanh.f64 x) (tanh.f64 x)) (tanh.f64 x))
1.0ms	x	@	inf	(.f64 (.f64 (tanh.f64 x) (tanh.f64 x)) (tanh.f64 x))
0.0ms	x	@	inf	(*.f64 (tanh.f64 x) (tanh.f64 x))

rewrite64.0ms (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1606×	`add-sqr-sqrt`
1576×	`*-un-lft-identity`
1480×	`add-cube-cbrt`
1466×	`add-cbrt-cube`
156×	`pow1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	32
1	163	32
2	2027	32

Stop Event

1×	node limit

Counts

4 → 131

Calls

Call 1

Inputs
(cbrt.f64 (.f64 (.f64 (tanh.f64 x) (tanh.f64 x)) (tanh.f64 x)))
(.f64 (.f64 (tanh.f64 x) (tanh.f64 x)) (tanh.f64 x))
(tanh.f64 x)
(*.f64 (tanh.f64 x) (tanh.f64 x))

Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (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 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 (pow.f64 (exp.f64 2) x) (+.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 (tanh.f64 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (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 (cbrt.f64 (tanh.f64 x)) (cbrt.f64 (pow.f64 (tanh.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (pow.f64 (tanh.f64 x) 2)) (cbrt.f64 (tanh.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 (expm1.f64 (.f64 x 2)) (/.f64 1 (+.f64 1 (pow.f64 (exp.f64 2) 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 (sqrt.f64 (cbrt.f64 (pow.f64 (tanh.f64 x) 4))) (sqrt.f64 (cbrt.f64 (pow.f64 (tanh.f64 x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 1 1/3) (tanh.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (pow.f64 (tanh.f64 x) 3/2) 1/3) (pow.f64 (pow.f64 (tanh.f64 x) 3/2) 1/3))))) (#(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 1 (/.f64 (+.f64 1 (pow.f64 (exp.f64 2) x)) (expm1.f64 (.f64 x 2))))))) (#(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 (.f64 2 (sinh.f64 x)) (.f64 2 (cosh.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (expm1.f64 (.f64 x 2)) (+.f64 1 (pow.f64 (exp.f64 2) 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 (neg.f64 (.f64 2 (sinh.f64 x))) (neg.f64 (.f64 2 (cosh.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (expm1.f64 (.f64 x 2))) (neg.f64 (+.f64 1 (pow.f64 (exp.f64 2) 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 pow.f64 (tanh.f64 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (tanh.f64 x) 2) 1/2)))) (#(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 (sqrt.f64 (tanh.f64 x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (tanh.f64 x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (tanh.f64 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (tanh.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (tanh.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (tanh.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.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 exp.f64 (.f64 (log.f64 (tanh.f64 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 3 (log.f64 (tanh.f64 x))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (tanh.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x tanh.f64 x)))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 (tanh.f64 x) 3))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (pow.f64 (tanh.f64 x) 2) (.f64 2 (sinh.f64 x))) (.f64 2 (cosh.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (pow.f64 (tanh.f64 x) 2) (expm1.f64 (.f64 x 2))) (+.f64 1 (pow.f64 (exp.f64 2) x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (pow.f64 (tanh.f64 x) 2) (-.f64 1 (pow.f64 (exp.f64 -2) x))) (+.f64 1 (pow.f64 (exp.f64 -2) x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (.f64 2 (sinh.f64 x)) (pow.f64 (tanh.f64 x) 2)) (.f64 2 (cosh.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (expm1.f64 (.f64 x 2)) (pow.f64 (tanh.f64 x) 2)) (+.f64 1 (pow.f64 (exp.f64 2) x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (-.f64 1 (pow.f64 (exp.f64 -2) x)) (pow.f64 (tanh.f64 x) 2)) (+.f64 1 (pow.f64 (exp.f64 -2) x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (.f64 2 (sinh.f64 x)) 3) (pow.f64 (.f64 2 (cosh.f64 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (expm1.f64 (.f64 x 2)) 3) (pow.f64 (+.f64 1 (pow.f64 (exp.f64 2) x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (-.f64 1 (pow.f64 (exp.f64 -2) x)) 3) (pow.f64 (+.f64 1 (pow.f64 (exp.f64 -2) x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (tanh.f64 x) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (tanh.f64 x) 3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (tanh.f64 x) 3/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (pow.f64 (tanh.f64 x) 3) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (tanh.f64 x) 6))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (tanh.f64 x) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 (tanh.f64 x) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (pow.f64 (tanh.f64 x) 3) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (tanh.f64 x) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 3 (log.f64 (tanh.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (tanh.f64 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (*.f64 3 (log.f64 (tanh.f64 x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (tanh.f64 x) 3)))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (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 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 (pow.f64 (exp.f64 2) x) (+.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 (tanh.f64 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (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 (cbrt.f64 (tanh.f64 x)) (cbrt.f64 (pow.f64 (tanh.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (pow.f64 (tanh.f64 x) 2)) (cbrt.f64 (tanh.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 (expm1.f64 (.f64 x 2)) (/.f64 1 (+.f64 1 (pow.f64 (exp.f64 2) 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 (sqrt.f64 (cbrt.f64 (pow.f64 (tanh.f64 x) 4))) (sqrt.f64 (cbrt.f64 (pow.f64 (tanh.f64 x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 1 1/3) (tanh.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (pow.f64 (tanh.f64 x) 3/2) 1/3) (pow.f64 (pow.f64 (tanh.f64 x) 3/2) 1/3))))) (#(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 1 (/.f64 (+.f64 1 (pow.f64 (exp.f64 2) x)) (expm1.f64 (.f64 x 2))))))) (#(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 (.f64 2 (sinh.f64 x)) (.f64 2 (cosh.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (expm1.f64 (.f64 x 2)) (+.f64 1 (pow.f64 (exp.f64 2) 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 (neg.f64 (.f64 2 (sinh.f64 x))) (neg.f64 (.f64 2 (cosh.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (expm1.f64 (.f64 x 2))) (neg.f64 (+.f64 1 (pow.f64 (exp.f64 2) 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 pow.f64 (tanh.f64 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (tanh.f64 x) 2) 1/2)))) (#(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 (sqrt.f64 (tanh.f64 x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (tanh.f64 x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (tanh.f64 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (tanh.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (tanh.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.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 exp.f64 (log.f64 (tanh.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (tanh.f64 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 3 (log.f64 (tanh.f64 x))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (tanh.f64 x)))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 (tanh.f64 x) 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (-.f64 1 (pow.f64 (exp.f64 -2) x)) (-.f64 1 (pow.f64 (exp.f64 -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 (.f64 (expm1.f64 (.f64 x 2)) (expm1.f64 (.f64 x 2))) (.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 (.f64 (.f64 2 (sinh.f64 x)) (.f64 2 (sinh.f64 x))) (.f64 (.f64 2 (cosh.f64 x)) (.f64 2 (cosh.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (tanh.f64 x) (.f64 2 (sinh.f64 x))) (.f64 2 (cosh.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (tanh.f64 x) (expm1.f64 (.f64 x 2))) (+.f64 1 (pow.f64 (exp.f64 2) x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (tanh.f64 x) (-.f64 1 (pow.f64 (exp.f64 -2) x))) (+.f64 1 (pow.f64 (exp.f64 -2) x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (.f64 2 (sinh.f64 x)) (tanh.f64 x)) (.f64 2 (cosh.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (expm1.f64 (.f64 x 2)) (tanh.f64 x)) (+.f64 1 (pow.f64 (exp.f64 2) x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (-.f64 1 (pow.f64 (exp.f64 -2) x)) (tanh.f64 x)) (+.f64 1 (pow.f64 (exp.f64 -2) x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (.f64 2 (sinh.f64 x)) (expm1.f64 (.f64 x 2))) (.f64 (.f64 2 (cosh.f64 x)) (+.f64 1 (pow.f64 (exp.f64 2) x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (.f64 2 (sinh.f64 x)) (-.f64 1 (pow.f64 (exp.f64 -2) x))) (.f64 (.f64 2 (cosh.f64 x)) (+.f64 1 (pow.f64 (exp.f64 -2) x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (expm1.f64 (.f64 x 2)) (.f64 2 (sinh.f64 x))) (.f64 (+.f64 1 (pow.f64 (exp.f64 2) x)) (.f64 2 (cosh.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (expm1.f64 (.f64 x 2)) (-.f64 1 (pow.f64 (exp.f64 -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 (.f64 (-.f64 1 (pow.f64 (exp.f64 -2) x)) (.f64 2 (sinh.f64 x))) (.f64 (+.f64 1 (pow.f64 (exp.f64 -2) x)) (.f64 2 (cosh.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (-.f64 1 (pow.f64 (exp.f64 -2) x)) (expm1.f64 (.f64 x 2))) (.f64 (+.f64 1 (pow.f64 (exp.f64 -2) x)) (+.f64 1 (pow.f64 (exp.f64 2) x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (tanh.f64 x) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (tanh.f64 x) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (tanh.f64 x) 3) 2/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (pow.f64 (tanh.f64 x) 2)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (tanh.f64 x) 6) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (tanh.f64 x) 4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (tanh.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 (tanh.f64 x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (tanh.f64 x) 6))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (tanh.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 2 (log.f64 (tanh.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (tanh.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 2 (log.f64 (tanh.f64 x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (tanh.f64 x) 2)))))))

simplify79.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

542×	`div-sub`
458×	`times-frac`
428×	`associate-/l*`
328×	`associate-r`
324×	`associate-l`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	265	5073
1	714	2493
2	3710	2121

Stop Event

1×	node limit

Counts

179 → 140

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)))
(pow.f64 x 3)
(+.f64 (*.f64 -1 (pow.f64 x 5)) (pow.f64 x 3))
(+.f64 (.f64 -1 (pow.f64 x 5)) (+.f64 (.f64 11/15 (pow.f64 x 7)) (pow.f64 x 3)))
(+.f64 (.f64 -1 (pow.f64 x 5)) (+.f64 (.f64 -88/189 (pow.f64 x 9)) (+.f64 (*.f64 11/15 (pow.f64 x 7)) (pow.f64 x 3))))
(/.f64 (pow.f64 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))) 3) (pow.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) 3))
(/.f64 (pow.f64 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))) 3) (pow.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) 3))
(/.f64 (pow.f64 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))) 3) (pow.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) 3))
(/.f64 (pow.f64 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))) 3) (pow.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) 3))
(/.f64 (pow.f64 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))) 3) (pow.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) 3))
(/.f64 (pow.f64 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))) 3) (pow.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) 3))
(/.f64 (pow.f64 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))) 3) (pow.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) 3))
(/.f64 (pow.f64 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))) 3) (pow.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) 3))
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)))
(pow.f64 x 2)
(+.f64 (*.f64 -2/3 (pow.f64 x 4)) (pow.f64 x 2))
(+.f64 (.f64 -2/3 (pow.f64 x 4)) (+.f64 (.f64 17/45 (pow.f64 x 6)) (pow.f64 x 2)))
(+.f64 (.f64 -2/3 (pow.f64 x 4)) (+.f64 (.f64 -62/315 (pow.f64 x 8)) (+.f64 (*.f64 17/45 (pow.f64 x 6)) (pow.f64 x 2))))
(/.f64 (pow.f64 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))) 2) (pow.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) 2))
(/.f64 (pow.f64 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))) 2) (pow.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) 2))
(/.f64 (pow.f64 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))) 2) (pow.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) 2))
(/.f64 (pow.f64 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))) 2) (pow.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) 2))
(/.f64 (pow.f64 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))) 2) (pow.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) 2))
(/.f64 (pow.f64 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))) 2) (pow.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) 2))
(/.f64 (pow.f64 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))) 2) (pow.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) 2))
(/.f64 (pow.f64 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))) 2) (pow.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) 2))
(-.f64 (exp.f64 (log1p.f64 (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 x) (.f64 2 (cosh.f64 x))) (/.f64 (exp.f64 (neg.f64 x)) (.f64 2 (cosh.f64 x))))
(-.f64 (/.f64 (pow.f64 (exp.f64 2) x) (+.f64 1 (pow.f64 (exp.f64 2) x))) (/.f64 1 (+.f64 1 (pow.f64 (exp.f64 2) x))))
(*.f64 (tanh.f64 x) 1)
(*.f64 1 (tanh.f64 x))
(*.f64 (sqrt.f64 (tanh.f64 x)) (sqrt.f64 (tanh.f64 x)))
(*.f64 (cbrt.f64 (tanh.f64 x)) (cbrt.f64 (pow.f64 (tanh.f64 x) 2)))
(*.f64 (cbrt.f64 (pow.f64 (tanh.f64 x) 2)) (cbrt.f64 (tanh.f64 x)))
(.f64 (.f64 2 (sinh.f64 x)) (/.f64 1 (*.f64 2 (cosh.f64 x))))
(.f64 (expm1.f64 (.f64 x 2)) (/.f64 1 (+.f64 1 (pow.f64 (exp.f64 2) x))))
(*.f64 (-.f64 1 (pow.f64 (exp.f64 -2) x)) (/.f64 1 (+.f64 1 (pow.f64 (exp.f64 -2) x))))
(*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (tanh.f64 x) 4))) (sqrt.f64 (cbrt.f64 (pow.f64 (tanh.f64 x) 2))))
(*.f64 (pow.f64 1 1/3) (tanh.f64 x))
(*.f64 (pow.f64 (pow.f64 (tanh.f64 x) 3/2) 1/3) (pow.f64 (pow.f64 (tanh.f64 x) 3/2) 1/3))
(/.f64 1 (/.f64 (.f64 2 (cosh.f64 x)) (.f64 2 (sinh.f64 x))))
(/.f64 1 (/.f64 (+.f64 1 (pow.f64 (exp.f64 2) x)) (expm1.f64 (*.f64 x 2))))
(/.f64 1 (/.f64 (+.f64 1 (pow.f64 (exp.f64 -2) x)) (-.f64 1 (pow.f64 (exp.f64 -2) x))))
(/.f64 (.f64 2 (sinh.f64 x)) (.f64 2 (cosh.f64 x)))
(/.f64 (expm1.f64 (*.f64 x 2)) (+.f64 1 (pow.f64 (exp.f64 2) x)))
(/.f64 (-.f64 1 (pow.f64 (exp.f64 -2) x)) (+.f64 1 (pow.f64 (exp.f64 -2) x)))
(/.f64 (neg.f64 (.f64 2 (sinh.f64 x))) (neg.f64 (.f64 2 (cosh.f64 x))))
(/.f64 (neg.f64 (expm1.f64 (*.f64 x 2))) (neg.f64 (+.f64 1 (pow.f64 (exp.f64 2) x))))
(/.f64 (neg.f64 (-.f64 1 (pow.f64 (exp.f64 -2) x))) (neg.f64 (+.f64 1 (pow.f64 (exp.f64 -2) x))))
(pow.f64 (tanh.f64 x) 1)
(pow.f64 (pow.f64 (tanh.f64 x) 2) 1/2)
(pow.f64 (pow.f64 (tanh.f64 x) 3) 1/3)
(pow.f64 (sqrt.f64 (tanh.f64 x)) 2)
(pow.f64 (cbrt.f64 (tanh.f64 x)) 3)
(sqrt.f64 (pow.f64 (tanh.f64 x) 2))
(fabs.f64 (tanh.f64 x))
(log.f64 (exp.f64 (tanh.f64 x)))
(log.f64 (+.f64 1 (expm1.f64 (tanh.f64 x))))
(expm1.f64 (log1p.f64 (tanh.f64 x)))
(exp.f64 (log.f64 (tanh.f64 x)))
(exp.f64 (*.f64 (log.f64 (tanh.f64 x)) 1))
(exp.f64 (.f64 (.f64 3 (log.f64 (tanh.f64 x))) 1/3))
(log1p.f64 (expm1.f64 (tanh.f64 x)))
(tanh.f64 x)
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (tanh.f64 x) 3))) 1)
(/.f64 (.f64 (pow.f64 (tanh.f64 x) 2) (.f64 2 (sinh.f64 x))) (*.f64 2 (cosh.f64 x)))
(/.f64 (.f64 (pow.f64 (tanh.f64 x) 2) (expm1.f64 (.f64 x 2))) (+.f64 1 (pow.f64 (exp.f64 2) x)))
(/.f64 (*.f64 (pow.f64 (tanh.f64 x) 2) (-.f64 1 (pow.f64 (exp.f64 -2) x))) (+.f64 1 (pow.f64 (exp.f64 -2) x)))
(/.f64 (.f64 (.f64 2 (sinh.f64 x)) (pow.f64 (tanh.f64 x) 2)) (*.f64 2 (cosh.f64 x)))
(/.f64 (.f64 (expm1.f64 (.f64 x 2)) (pow.f64 (tanh.f64 x) 2)) (+.f64 1 (pow.f64 (exp.f64 2) x)))
(/.f64 (*.f64 (-.f64 1 (pow.f64 (exp.f64 -2) x)) (pow.f64 (tanh.f64 x) 2)) (+.f64 1 (pow.f64 (exp.f64 -2) x)))
(/.f64 (pow.f64 (.f64 2 (sinh.f64 x)) 3) (pow.f64 (.f64 2 (cosh.f64 x)) 3))
(/.f64 (pow.f64 (expm1.f64 (*.f64 x 2)) 3) (pow.f64 (+.f64 1 (pow.f64 (exp.f64 2) x)) 3))
(/.f64 (pow.f64 (-.f64 1 (pow.f64 (exp.f64 -2) x)) 3) (pow.f64 (+.f64 1 (pow.f64 (exp.f64 -2) x)) 3))
(pow.f64 (tanh.f64 x) 3)
(pow.f64 (pow.f64 (tanh.f64 x) 3) 1)
(pow.f64 (pow.f64 (tanh.f64 x) 3/2) 2)
(pow.f64 (pow.f64 (pow.f64 (tanh.f64 x) 3) 3) 1/3)
(sqrt.f64 (pow.f64 (tanh.f64 x) 6))
(log.f64 (exp.f64 (pow.f64 (tanh.f64 x) 3)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (tanh.f64 x) 3))))
(cbrt.f64 (pow.f64 (pow.f64 (tanh.f64 x) 3) 3))
(expm1.f64 (log1p.f64 (pow.f64 (tanh.f64 x) 3)))
(exp.f64 (*.f64 3 (log.f64 (tanh.f64 x))))
(exp.f64 (*.f64 (log.f64 (tanh.f64 x)) 3))
(exp.f64 (.f64 (.f64 3 (log.f64 (tanh.f64 x))) 1))
(log1p.f64 (expm1.f64 (pow.f64 (tanh.f64 x) 3)))
(-.f64 (exp.f64 (log1p.f64 (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 x) (.f64 2 (cosh.f64 x))) (/.f64 (exp.f64 (neg.f64 x)) (.f64 2 (cosh.f64 x))))
(-.f64 (/.f64 (pow.f64 (exp.f64 2) x) (+.f64 1 (pow.f64 (exp.f64 2) x))) (/.f64 1 (+.f64 1 (pow.f64 (exp.f64 2) x))))
(*.f64 (tanh.f64 x) 1)
(*.f64 1 (tanh.f64 x))
(*.f64 (sqrt.f64 (tanh.f64 x)) (sqrt.f64 (tanh.f64 x)))
(*.f64 (cbrt.f64 (tanh.f64 x)) (cbrt.f64 (pow.f64 (tanh.f64 x) 2)))
(*.f64 (cbrt.f64 (pow.f64 (tanh.f64 x) 2)) (cbrt.f64 (tanh.f64 x)))
(.f64 (.f64 2 (sinh.f64 x)) (/.f64 1 (*.f64 2 (cosh.f64 x))))
(.f64 (expm1.f64 (.f64 x 2)) (/.f64 1 (+.f64 1 (pow.f64 (exp.f64 2) x))))
(*.f64 (-.f64 1 (pow.f64 (exp.f64 -2) x)) (/.f64 1 (+.f64 1 (pow.f64 (exp.f64 -2) x))))
(*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (tanh.f64 x) 4))) (sqrt.f64 (cbrt.f64 (pow.f64 (tanh.f64 x) 2))))
(*.f64 (pow.f64 1 1/3) (tanh.f64 x))
(*.f64 (pow.f64 (pow.f64 (tanh.f64 x) 3/2) 1/3) (pow.f64 (pow.f64 (tanh.f64 x) 3/2) 1/3))
(/.f64 1 (/.f64 (.f64 2 (cosh.f64 x)) (.f64 2 (sinh.f64 x))))
(/.f64 1 (/.f64 (+.f64 1 (pow.f64 (exp.f64 2) x)) (expm1.f64 (*.f64 x 2))))
(/.f64 1 (/.f64 (+.f64 1 (pow.f64 (exp.f64 -2) x)) (-.f64 1 (pow.f64 (exp.f64 -2) x))))
(/.f64 (.f64 2 (sinh.f64 x)) (.f64 2 (cosh.f64 x)))
(/.f64 (expm1.f64 (*.f64 x 2)) (+.f64 1 (pow.f64 (exp.f64 2) x)))
(/.f64 (-.f64 1 (pow.f64 (exp.f64 -2) x)) (+.f64 1 (pow.f64 (exp.f64 -2) x)))
(/.f64 (neg.f64 (.f64 2 (sinh.f64 x))) (neg.f64 (.f64 2 (cosh.f64 x))))
(/.f64 (neg.f64 (expm1.f64 (*.f64 x 2))) (neg.f64 (+.f64 1 (pow.f64 (exp.f64 2) x))))
(/.f64 (neg.f64 (-.f64 1 (pow.f64 (exp.f64 -2) x))) (neg.f64 (+.f64 1 (pow.f64 (exp.f64 -2) x))))
(pow.f64 (tanh.f64 x) 1)
(pow.f64 (pow.f64 (tanh.f64 x) 2) 1/2)
(pow.f64 (pow.f64 (tanh.f64 x) 3) 1/3)
(pow.f64 (sqrt.f64 (tanh.f64 x)) 2)
(pow.f64 (cbrt.f64 (tanh.f64 x)) 3)
(sqrt.f64 (pow.f64 (tanh.f64 x) 2))
(fabs.f64 (tanh.f64 x))
(log.f64 (exp.f64 (tanh.f64 x)))
(log.f64 (+.f64 1 (expm1.f64 (tanh.f64 x))))
(cbrt.f64 (pow.f64 (tanh.f64 x) 3))
(expm1.f64 (log1p.f64 (tanh.f64 x)))
(exp.f64 (log.f64 (tanh.f64 x)))
(exp.f64 (*.f64 (log.f64 (tanh.f64 x)) 1))
(exp.f64 (.f64 (.f64 3 (log.f64 (tanh.f64 x))) 1/3))
(log1p.f64 (expm1.f64 (tanh.f64 x)))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (tanh.f64 x) 2))) 1)
(/.f64 (.f64 (-.f64 1 (pow.f64 (exp.f64 -2) x)) (-.f64 1 (pow.f64 (exp.f64 -2) x))) (.f64 (+.f64 1 (pow.f64 (exp.f64 -2) x)) (+.f64 1 (pow.f64 (exp.f64 -2) x))))
(/.f64 (.f64 (expm1.f64 (.f64 x 2)) (expm1.f64 (.f64 x 2))) (.f64 (+.f64 1 (pow.f64 (exp.f64 2) x)) (+.f64 1 (pow.f64 (exp.f64 2) x))))
(/.f64 (.f64 (.f64 2 (sinh.f64 x)) (.f64 2 (sinh.f64 x))) (.f64 (.f64 2 (cosh.f64 x)) (.f64 2 (cosh.f64 x))))
(/.f64 (.f64 (tanh.f64 x) (.f64 2 (sinh.f64 x))) (*.f64 2 (cosh.f64 x)))
(/.f64 (.f64 (tanh.f64 x) (expm1.f64 (.f64 x 2))) (+.f64 1 (pow.f64 (exp.f64 2) x)))
(/.f64 (*.f64 (tanh.f64 x) (-.f64 1 (pow.f64 (exp.f64 -2) x))) (+.f64 1 (pow.f64 (exp.f64 -2) x)))
(/.f64 (.f64 (.f64 2 (sinh.f64 x)) (tanh.f64 x)) (*.f64 2 (cosh.f64 x)))
(/.f64 (.f64 (expm1.f64 (.f64 x 2)) (tanh.f64 x)) (+.f64 1 (pow.f64 (exp.f64 2) x)))
(/.f64 (*.f64 (-.f64 1 (pow.f64 (exp.f64 -2) x)) (tanh.f64 x)) (+.f64 1 (pow.f64 (exp.f64 -2) x)))
(/.f64 (.f64 (.f64 2 (sinh.f64 x)) (expm1.f64 (.f64 x 2))) (.f64 (*.f64 2 (cosh.f64 x)) (+.f64 1 (pow.f64 (exp.f64 2) x))))
(/.f64 (.f64 (.f64 2 (sinh.f64 x)) (-.f64 1 (pow.f64 (exp.f64 -2) x))) (.f64 (.f64 2 (cosh.f64 x)) (+.f64 1 (pow.f64 (exp.f64 -2) x))))
(/.f64 (.f64 (expm1.f64 (.f64 x 2)) (.f64 2 (sinh.f64 x))) (.f64 (+.f64 1 (pow.f64 (exp.f64 2) x)) (*.f64 2 (cosh.f64 x))))
(/.f64 (.f64 (expm1.f64 (.f64 x 2)) (-.f64 1 (pow.f64 (exp.f64 -2) x))) (*.f64 (+.f64 1 (pow.f64 (exp.f64 2) x)) (+.f64 1 (pow.f64 (exp.f64 -2) x))))
(/.f64 (.f64 (-.f64 1 (pow.f64 (exp.f64 -2) x)) (.f64 2 (sinh.f64 x))) (.f64 (+.f64 1 (pow.f64 (exp.f64 -2) x)) (.f64 2 (cosh.f64 x))))
(/.f64 (.f64 (-.f64 1 (pow.f64 (exp.f64 -2) x)) (expm1.f64 (.f64 x 2))) (*.f64 (+.f64 1 (pow.f64 (exp.f64 -2) x)) (+.f64 1 (pow.f64 (exp.f64 2) x))))
(pow.f64 (tanh.f64 x) 2)
(pow.f64 (pow.f64 (tanh.f64 x) 2) 1)
(pow.f64 (pow.f64 (tanh.f64 x) 3) 2/3)
(pow.f64 (cbrt.f64 (pow.f64 (tanh.f64 x) 2)) 3)
(pow.f64 (pow.f64 (tanh.f64 x) 6) 1/3)
(sqrt.f64 (pow.f64 (tanh.f64 x) 4))
(log.f64 (exp.f64 (pow.f64 (tanh.f64 x) 2)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (tanh.f64 x) 2))))
(cbrt.f64 (pow.f64 (tanh.f64 x) 6))
(expm1.f64 (log1p.f64 (pow.f64 (tanh.f64 x) 2)))
(exp.f64 (*.f64 2 (log.f64 (tanh.f64 x))))
(exp.f64 (*.f64 (log.f64 (tanh.f64 x)) 2))
(exp.f64 (.f64 (.f64 2 (log.f64 (tanh.f64 x))) 1))
(log1p.f64 (expm1.f64 (pow.f64 (tanh.f64 x) 2)))

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)))
(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)
(pow.f64 x 3)
(+.f64 (*.f64 -1 (pow.f64 x 5)) (pow.f64 x 3))
(fma.f64 -1 (pow.f64 x 5) (pow.f64 x 3))
(-.f64 (pow.f64 x 3) (pow.f64 x 5))
(+.f64 (.f64 -1 (pow.f64 x 5)) (+.f64 (.f64 11/15 (pow.f64 x 7)) (pow.f64 x 3)))
(fma.f64 -1 (pow.f64 x 5) (fma.f64 11/15 (pow.f64 x 7) (pow.f64 x 3)))
(-.f64 (fma.f64 (pow.f64 x 7) 11/15 (pow.f64 x 3)) (pow.f64 x 5))
(+.f64 (.f64 -1 (pow.f64 x 5)) (+.f64 (.f64 -88/189 (pow.f64 x 9)) (+.f64 (*.f64 11/15 (pow.f64 x 7)) (pow.f64 x 3))))
(fma.f64 -1 (pow.f64 x 5) (fma.f64 -88/189 (pow.f64 x 9) (fma.f64 11/15 (pow.f64 x 7) (pow.f64 x 3))))
(-.f64 (fma.f64 -88/189 (pow.f64 x 9) (fma.f64 (pow.f64 x 7) 11/15 (pow.f64 x 3))) (pow.f64 x 5))
(/.f64 (pow.f64 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))) 3) (pow.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) 3))
(/.f64 (pow.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 3) (pow.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 3))
(pow.f64 (tanh.f64 x) 3)
(/.f64 (pow.f64 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))) 3) (pow.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) 3))
(/.f64 (pow.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 3) (pow.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 3))
(pow.f64 (tanh.f64 x) 3)
(/.f64 (pow.f64 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))) 3) (pow.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) 3))
(/.f64 (pow.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 3) (pow.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 3))
(pow.f64 (tanh.f64 x) 3)
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(-.f64 (exp.f64 (log1p.f64 (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 x) (.f64 2 (cosh.f64 x))) (/.f64 (exp.f64 (neg.f64 x)) (.f64 2 (cosh.f64 x))))
(/.f64 (sinh.f64 x) (cosh.f64 x))
(-.f64 (/.f64 (pow.f64 (exp.f64 2) x) (+.f64 1 (pow.f64 (exp.f64 2) x))) (/.f64 1 (+.f64 1 (pow.f64 (exp.f64 2) x))))
(tanh.f64 x)
(*.f64 (tanh.f64 x) 1)
(tanh.f64 x)
(*.f64 1 (tanh.f64 x))
(tanh.f64 x)
(*.f64 (sqrt.f64 (tanh.f64 x)) (sqrt.f64 (tanh.f64 x)))
(tanh.f64 x)
(*.f64 (cbrt.f64 (tanh.f64 x)) (cbrt.f64 (pow.f64 (tanh.f64 x) 2)))
(*.f64 (cbrt.f64 (pow.f64 (tanh.f64 x) 2)) (cbrt.f64 (tanh.f64 x)))
(*.f64 (cbrt.f64 (tanh.f64 x)) (cbrt.f64 (pow.f64 (tanh.f64 x) 2)))
(.f64 (.f64 2 (sinh.f64 x)) (/.f64 1 (*.f64 2 (cosh.f64 x))))
(-.f64 (/.f64 (exp.f64 x) (.f64 2 (cosh.f64 x))) (/.f64 (exp.f64 (neg.f64 x)) (.f64 2 (cosh.f64 x))))
(/.f64 (sinh.f64 x) (cosh.f64 x))
(.f64 (expm1.f64 (.f64 x 2)) (/.f64 1 (+.f64 1 (pow.f64 (exp.f64 2) 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 (sqrt.f64 (cbrt.f64 (pow.f64 (tanh.f64 x) 4))) (sqrt.f64 (cbrt.f64 (pow.f64 (tanh.f64 x) 2))))
(*.f64 (pow.f64 1 1/3) (tanh.f64 x))
(tanh.f64 x)
(*.f64 (pow.f64 (pow.f64 (tanh.f64 x) 3/2) 1/3) (pow.f64 (pow.f64 (tanh.f64 x) 3/2) 1/3))
(*.f64 (cbrt.f64 (pow.f64 (tanh.f64 x) 3/2)) (cbrt.f64 (pow.f64 (tanh.f64 x) 3/2)))
(/.f64 1 (/.f64 (.f64 2 (cosh.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))))
(/.f64 (sinh.f64 x) (cosh.f64 x))
(/.f64 1 (/.f64 (+.f64 1 (pow.f64 (exp.f64 2) x)) (expm1.f64 (*.f64 x 2))))
(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 (.f64 2 (sinh.f64 x)) (.f64 2 (cosh.f64 x)))
(-.f64 (/.f64 (exp.f64 x) (.f64 2 (cosh.f64 x))) (/.f64 (exp.f64 (neg.f64 x)) (.f64 2 (cosh.f64 x))))
(/.f64 (sinh.f64 x) (cosh.f64 x))
(/.f64 (expm1.f64 (*.f64 x 2)) (+.f64 1 (pow.f64 (exp.f64 2) 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 (neg.f64 (.f64 2 (sinh.f64 x))) (neg.f64 (.f64 2 (cosh.f64 x))))
(-.f64 (/.f64 (exp.f64 x) (.f64 2 (cosh.f64 x))) (/.f64 (exp.f64 (neg.f64 x)) (.f64 2 (cosh.f64 x))))
(/.f64 (sinh.f64 x) (cosh.f64 x))
(/.f64 (neg.f64 (expm1.f64 (*.f64 x 2))) (neg.f64 (+.f64 1 (pow.f64 (exp.f64 2) 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)
(pow.f64 (tanh.f64 x) 1)
(tanh.f64 x)
(pow.f64 (pow.f64 (tanh.f64 x) 2) 1/2)
(tanh.f64 x)
(pow.f64 (pow.f64 (tanh.f64 x) 3) 1/3)
(tanh.f64 x)
(pow.f64 (sqrt.f64 (tanh.f64 x)) 2)
(tanh.f64 x)
(pow.f64 (cbrt.f64 (tanh.f64 x)) 3)
(tanh.f64 x)
(sqrt.f64 (pow.f64 (tanh.f64 x) 2))
(tanh.f64 x)
(fabs.f64 (tanh.f64 x))
(tanh.f64 x)
(log.f64 (exp.f64 (tanh.f64 x)))
(tanh.f64 x)
(log.f64 (+.f64 1 (expm1.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)
(exp.f64 (log.f64 (tanh.f64 x)))
(tanh.f64 x)
(exp.f64 (*.f64 (log.f64 (tanh.f64 x)) 1))
(tanh.f64 x)
(exp.f64 (.f64 (.f64 3 (log.f64 (tanh.f64 x))) 1/3))
(tanh.f64 x)
(log1p.f64 (expm1.f64 (tanh.f64 x)))
(tanh.f64 x)
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (tanh.f64 x) 2))) 1)
(/.f64 (pow.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 2) (pow.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 2))
(pow.f64 (tanh.f64 x) 2)
(/.f64 (.f64 (-.f64 1 (pow.f64 (exp.f64 -2) x)) (-.f64 1 (pow.f64 (exp.f64 -2) x))) (.f64 (+.f64 1 (pow.f64 (exp.f64 -2) x)) (+.f64 1 (pow.f64 (exp.f64 -2) x))))
(/.f64 (pow.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 2) (pow.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 2))
(pow.f64 (tanh.f64 x) 2)
(/.f64 (.f64 (expm1.f64 (.f64 x 2)) (expm1.f64 (.f64 x 2))) (.f64 (+.f64 1 (pow.f64 (exp.f64 2) x)) (+.f64 1 (pow.f64 (exp.f64 2) x))))
(/.f64 (pow.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 2) (pow.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 2))
(pow.f64 (tanh.f64 x) 2)
(/.f64 (.f64 (.f64 2 (sinh.f64 x)) (.f64 2 (sinh.f64 x))) (.f64 (.f64 2 (cosh.f64 x)) (.f64 2 (cosh.f64 x))))
(.f64 (.f64 1 (/.f64 (sinh.f64 x) (cosh.f64 x))) (*.f64 1 (/.f64 (sinh.f64 x) (cosh.f64 x))))
(*.f64 (/.f64 (sinh.f64 x) (cosh.f64 x)) (/.f64 (sinh.f64 x) (cosh.f64 x)))
(/.f64 (.f64 (sinh.f64 x) (sinh.f64 x)) (.f64 (cosh.f64 x) (cosh.f64 x)))
(/.f64 (.f64 (tanh.f64 x) (.f64 2 (sinh.f64 x))) (*.f64 2 (cosh.f64 x)))
(/.f64 (tanh.f64 x) (*.f64 1 (/.f64 (cosh.f64 x) (sinh.f64 x))))
(*.f64 (tanh.f64 x) (/.f64 (sinh.f64 x) (cosh.f64 x)))
(*.f64 (sinh.f64 x) (/.f64 (tanh.f64 x) (cosh.f64 x)))
(/.f64 (.f64 (tanh.f64 x) (expm1.f64 (.f64 x 2))) (+.f64 1 (pow.f64 (exp.f64 2) x)))
(/.f64 (pow.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 2) (pow.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 2))
(pow.f64 (tanh.f64 x) 2)
(/.f64 (*.f64 (tanh.f64 x) (-.f64 1 (pow.f64 (exp.f64 -2) x))) (+.f64 1 (pow.f64 (exp.f64 -2) x)))
(/.f64 (pow.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 2) (pow.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 2))
(pow.f64 (tanh.f64 x) 2)
(/.f64 (.f64 (.f64 2 (sinh.f64 x)) (tanh.f64 x)) (*.f64 2 (cosh.f64 x)))
(/.f64 (tanh.f64 x) (*.f64 1 (/.f64 (cosh.f64 x) (sinh.f64 x))))
(*.f64 (tanh.f64 x) (/.f64 (sinh.f64 x) (cosh.f64 x)))
(*.f64 (sinh.f64 x) (/.f64 (tanh.f64 x) (cosh.f64 x)))
(/.f64 (.f64 (expm1.f64 (.f64 x 2)) (tanh.f64 x)) (+.f64 1 (pow.f64 (exp.f64 2) x)))
(/.f64 (pow.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 2) (pow.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 2))
(pow.f64 (tanh.f64 x) 2)
(/.f64 (*.f64 (-.f64 1 (pow.f64 (exp.f64 -2) x)) (tanh.f64 x)) (+.f64 1 (pow.f64 (exp.f64 -2) x)))
(/.f64 (pow.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 2) (pow.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 2))
(pow.f64 (tanh.f64 x) 2)
(/.f64 (.f64 (.f64 2 (sinh.f64 x)) (expm1.f64 (.f64 x 2))) (.f64 (*.f64 2 (cosh.f64 x)) (+.f64 1 (pow.f64 (exp.f64 2) x))))
(/.f64 (tanh.f64 x) (*.f64 1 (/.f64 (cosh.f64 x) (sinh.f64 x))))
(*.f64 (tanh.f64 x) (/.f64 (sinh.f64 x) (cosh.f64 x)))
(*.f64 (sinh.f64 x) (/.f64 (tanh.f64 x) (cosh.f64 x)))
(/.f64 (.f64 (.f64 2 (sinh.f64 x)) (-.f64 1 (pow.f64 (exp.f64 -2) x))) (.f64 (.f64 2 (cosh.f64 x)) (+.f64 1 (pow.f64 (exp.f64 -2) x))))
(/.f64 (tanh.f64 x) (*.f64 1 (/.f64 (cosh.f64 x) (sinh.f64 x))))
(*.f64 (tanh.f64 x) (/.f64 (sinh.f64 x) (cosh.f64 x)))
(*.f64 (sinh.f64 x) (/.f64 (tanh.f64 x) (cosh.f64 x)))
(/.f64 (.f64 (expm1.f64 (.f64 x 2)) (.f64 2 (sinh.f64 x))) (.f64 (+.f64 1 (pow.f64 (exp.f64 2) x)) (*.f64 2 (cosh.f64 x))))
(/.f64 (tanh.f64 x) (*.f64 1 (/.f64 (cosh.f64 x) (sinh.f64 x))))
(*.f64 (tanh.f64 x) (/.f64 (sinh.f64 x) (cosh.f64 x)))
(*.f64 (sinh.f64 x) (/.f64 (tanh.f64 x) (cosh.f64 x)))
(/.f64 (.f64 (expm1.f64 (.f64 x 2)) (-.f64 1 (pow.f64 (exp.f64 -2) x))) (*.f64 (+.f64 1 (pow.f64 (exp.f64 2) x)) (+.f64 1 (pow.f64 (exp.f64 -2) x))))
(/.f64 (pow.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 2) (pow.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 2))
(pow.f64 (tanh.f64 x) 2)
(/.f64 (.f64 (-.f64 1 (pow.f64 (exp.f64 -2) x)) (.f64 2 (sinh.f64 x))) (.f64 (+.f64 1 (pow.f64 (exp.f64 -2) x)) (.f64 2 (cosh.f64 x))))
(/.f64 (tanh.f64 x) (*.f64 1 (/.f64 (cosh.f64 x) (sinh.f64 x))))
(*.f64 (tanh.f64 x) (/.f64 (sinh.f64 x) (cosh.f64 x)))
(*.f64 (sinh.f64 x) (/.f64 (tanh.f64 x) (cosh.f64 x)))
(/.f64 (.f64 (-.f64 1 (pow.f64 (exp.f64 -2) x)) (expm1.f64 (.f64 x 2))) (*.f64 (+.f64 1 (pow.f64 (exp.f64 -2) x)) (+.f64 1 (pow.f64 (exp.f64 2) x))))
(/.f64 (pow.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 2) (pow.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 2))
(pow.f64 (tanh.f64 x) 2)
(pow.f64 (tanh.f64 x) 2)
(/.f64 (pow.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 2) (pow.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 2))
(pow.f64 (pow.f64 (tanh.f64 x) 2) 1)
(/.f64 (pow.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 2) (pow.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 2))
(pow.f64 (tanh.f64 x) 2)
(pow.f64 (pow.f64 (tanh.f64 x) 3) 2/3)
(/.f64 (pow.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 2) (pow.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 2))
(pow.f64 (tanh.f64 x) 2)
(pow.f64 (cbrt.f64 (pow.f64 (tanh.f64 x) 2)) 3)
(/.f64 (pow.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 2) (pow.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 2))
(pow.f64 (tanh.f64 x) 2)
(pow.f64 (pow.f64 (tanh.f64 x) 6) 1/3)
(cbrt.f64 (pow.f64 (tanh.f64 x) 6))
(sqrt.f64 (pow.f64 (tanh.f64 x) 4))
(/.f64 (pow.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 2) (pow.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 2))
(pow.f64 (tanh.f64 x) 2)
(log.f64 (exp.f64 (pow.f64 (tanh.f64 x) 2)))
(/.f64 (pow.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 2) (pow.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 2))
(pow.f64 (tanh.f64 x) 2)
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (tanh.f64 x) 2))))
(/.f64 (pow.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 2) (pow.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 2))
(pow.f64 (tanh.f64 x) 2)
(cbrt.f64 (pow.f64 (tanh.f64 x) 6))
(expm1.f64 (log1p.f64 (pow.f64 (tanh.f64 x) 2)))
(/.f64 (pow.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 2) (pow.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 2))
(pow.f64 (tanh.f64 x) 2)
(exp.f64 (*.f64 2 (log.f64 (tanh.f64 x))))
(/.f64 (pow.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 2) (pow.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 2))
(pow.f64 (tanh.f64 x) 2)
(exp.f64 (*.f64 (log.f64 (tanh.f64 x)) 2))
(/.f64 (pow.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 2) (pow.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 2))
(pow.f64 (tanh.f64 x) 2)
(exp.f64 (.f64 (.f64 2 (log.f64 (tanh.f64 x))) 1))
(/.f64 (pow.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 2) (pow.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 2))
(pow.f64 (tanh.f64 x) 2)
(log1p.f64 (expm1.f64 (pow.f64 (tanh.f64 x) 2)))
(/.f64 (pow.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 2) (pow.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 2))
(pow.f64 (tanh.f64 x) 2)

localize3.0ms (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)

localize5.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
	0.0b	(tanh.f64 x)
✓	0.3b	(*.f64 (sqrt.f64 (tanh.f64 x)) (sqrt.f64 (tanh.f64 x)))

Compiler

Compiled 14 to 4 computations (71.4% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

Time	Variable		Point	Expression
0.0ms	x	@	0	(*.f64 (sqrt.f64 (tanh.f64 x)) (sqrt.f64 (tanh.f64 x)))
0.0ms	x	@	inf	(*.f64 (sqrt.f64 (tanh.f64 x)) (sqrt.f64 (tanh.f64 x)))
0.0ms	x	@	-inf	(*.f64 (sqrt.f64 (tanh.f64 x)) (sqrt.f64 (tanh.f64 x)))

rewrite53.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

1448×	`add-sqr-sqrt`
1432×	`*-un-lft-identity`
1334×	`add-cube-cbrt`
1324×	`add-cbrt-cube`
1320×	`add-exp-log`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	5
1	135	5
2	1753	5

Stop Event

1×	node limit

Counts

1 → 28

Calls

Call 1

Inputs
(*.f64 (sqrt.f64 (tanh.f64 x)) (sqrt.f64 (tanh.f64 x)))

Outputs

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

simplify48.0ms (1%)

Algorithm

1×	egg-herbie

Rules

770×	`associate-+l+`
718×	`associate-+r+`
646×	`associate-r`
530×	`associate-+l-`
512×	`associate-l`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	100	452
1	258	452
2	884	308
3	4442	308

Stop Event

1×	node limit

Counts

40 → 38

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 (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 x) (.f64 2 (cosh.f64 x))) (/.f64 (exp.f64 (neg.f64 x)) (.f64 2 (cosh.f64 x))))
(-.f64 (/.f64 (pow.f64 (exp.f64 2) x) (+.f64 1 (pow.f64 (exp.f64 2) x))) (/.f64 1 (+.f64 1 (pow.f64 (exp.f64 2) x))))
(/.f64 1 (/.f64 (.f64 2 (cosh.f64 x)) (.f64 2 (sinh.f64 x))))
(/.f64 1 (/.f64 (+.f64 1 (pow.f64 (exp.f64 2) x)) (expm1.f64 (*.f64 x 2))))
(/.f64 1 (/.f64 (+.f64 1 (pow.f64 (exp.f64 -2) x)) (-.f64 1 (pow.f64 (exp.f64 -2) x))))
(/.f64 (.f64 2 (sinh.f64 x)) (.f64 2 (cosh.f64 x)))
(/.f64 (expm1.f64 (*.f64 x 2)) (+.f64 1 (pow.f64 (exp.f64 2) x)))
(/.f64 (-.f64 1 (pow.f64 (exp.f64 -2) x)) (+.f64 1 (pow.f64 (exp.f64 -2) x)))
(/.f64 (neg.f64 (.f64 2 (sinh.f64 x))) (neg.f64 (.f64 2 (cosh.f64 x))))
(/.f64 (neg.f64 (expm1.f64 (*.f64 x 2))) (neg.f64 (+.f64 1 (pow.f64 (exp.f64 2) x))))
(/.f64 (neg.f64 (-.f64 1 (pow.f64 (exp.f64 -2) x))) (neg.f64 (+.f64 1 (pow.f64 (exp.f64 -2) x))))
(pow.f64 (tanh.f64 x) 1)
(pow.f64 (sqrt.f64 (tanh.f64 x)) 2)
(pow.f64 (cbrt.f64 (tanh.f64 x)) 3)
(pow.f64 (pow.f64 (tanh.f64 x) 2) 1/2)
(pow.f64 (pow.f64 (tanh.f64 x) 3) 1/3)
(sqrt.f64 (pow.f64 (tanh.f64 x) 2))
(fabs.f64 (tanh.f64 x))
(log.f64 (exp.f64 (tanh.f64 x)))
(cbrt.f64 (pow.f64 (tanh.f64 x) 3))
(expm1.f64 (log1p.f64 (tanh.f64 x)))
(exp.f64 (log.f64 (tanh.f64 x)))
(exp.f64 (*.f64 (log.f64 (tanh.f64 x)) 1))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (tanh.f64 x))) 2))
(log1p.f64 (expm1.f64 (tanh.f64 x)))
(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)
(-.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 x) (.f64 2 (cosh.f64 x))) (/.f64 (exp.f64 (neg.f64 x)) (.f64 2 (cosh.f64 x))))
(/.f64 (sinh.f64 x) (cosh.f64 x))
(-.f64 (/.f64 (pow.f64 (exp.f64 2) x) (+.f64 1 (pow.f64 (exp.f64 2) x))) (/.f64 1 (+.f64 1 (pow.f64 (exp.f64 2) x))))
(tanh.f64 x)
(/.f64 1 (/.f64 (.f64 2 (cosh.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))))
(/.f64 (sinh.f64 x) (cosh.f64 x))
(/.f64 1 (/.f64 (+.f64 1 (pow.f64 (exp.f64 2) x)) (expm1.f64 (*.f64 x 2))))
(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 (.f64 2 (sinh.f64 x)) (.f64 2 (cosh.f64 x)))
(-.f64 (/.f64 (exp.f64 x) (.f64 2 (cosh.f64 x))) (/.f64 (exp.f64 (neg.f64 x)) (.f64 2 (cosh.f64 x))))
(/.f64 (sinh.f64 x) (cosh.f64 x))
(/.f64 (expm1.f64 (*.f64 x 2)) (+.f64 1 (pow.f64 (exp.f64 2) 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 (neg.f64 (.f64 2 (sinh.f64 x))) (neg.f64 (.f64 2 (cosh.f64 x))))
(-.f64 (/.f64 (exp.f64 x) (.f64 2 (cosh.f64 x))) (/.f64 (exp.f64 (neg.f64 x)) (.f64 2 (cosh.f64 x))))
(/.f64 (sinh.f64 x) (cosh.f64 x))
(/.f64 (neg.f64 (expm1.f64 (*.f64 x 2))) (neg.f64 (+.f64 1 (pow.f64 (exp.f64 2) 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)
(pow.f64 (tanh.f64 x) 1)
(tanh.f64 x)
(pow.f64 (sqrt.f64 (tanh.f64 x)) 2)
(tanh.f64 x)
(pow.f64 (cbrt.f64 (tanh.f64 x)) 3)
(tanh.f64 x)
(pow.f64 (pow.f64 (tanh.f64 x) 2) 1/2)
(tanh.f64 x)
(pow.f64 (pow.f64 (tanh.f64 x) 3) 1/3)
(tanh.f64 x)
(sqrt.f64 (pow.f64 (tanh.f64 x) 2))
(tanh.f64 x)
(fabs.f64 (tanh.f64 x))
(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)
(exp.f64 (log.f64 (tanh.f64 x)))
(tanh.f64 x)
(exp.f64 (*.f64 (log.f64 (tanh.f64 x)) 1))
(tanh.f64 x)
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (tanh.f64 x))) 2))
(tanh.f64 x)
(log1p.f64 (expm1.f64 (tanh.f64 x)))
(tanh.f64 x)
(tanh.f64 x)

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)
✓	0.1b	(*.f64 -1/3 (pow.f64 x 3))

Compiler

Compiled 19 to 14 computations (26.3% saved)

series4.0ms (0.1%)

Counts

2 → 3

Calls

6 calls:

Time	Variable		Point	Expression
2.0ms	x	@	inf	(+.f64 (*.f64 -1/3 (pow.f64 x 3)) x)
1.0ms	x	@	0	(*.f64 -1/3 (pow.f64 x 3))
0.0ms	x	@	inf	(*.f64 -1/3 (pow.f64 x 3))
0.0ms	x	@	-inf	(*.f64 -1/3 (pow.f64 x 3))
0.0ms	x	@	-inf	(+.f64 (*.f64 -1/3 (pow.f64 x 3)) x)

rewrite58.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

1736×	`add-sqr-sqrt`
1702×	`*-un-lft-identity`
1612×	`add-cube-cbrt`
1600×	`add-cbrt-cube`
166×	`add-exp-log`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	28
1	180	28
2	2168	28

Stop Event

1×	node limit

Counts

2 → 50

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

simplify130.0ms (2.6%)

Algorithm

1×	egg-herbie

Rules

828×	`associate-*r/`
676×	`associate-*l/`
648×	`+-commutative`
606×	`associate--r+`
558×	`unswap-sqr`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	119	1289
1	286	1239
2	1157	1171
3	5224	1171

Stop Event

1×	node limit

Counts

53 → 57

Calls

Call 1

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

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

eval120.0ms (2.4%)

Compiler: Compiled 2925 to 1982 computations (32.2% saved)

prune30.0ms (0.6%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	238	2	240
Fresh	0	1	1
Picked	0	1	1
Done	2	1	3
Total	240	5	245

Error

Counts

245 → 5

Alt Table

Click to see full alt table

Status	Error	Program
▶	32.0b	(pow.f64 (sqrt.f64 (tanh.f64 x)) 2)
✓	1.7b	(+.f64 (*.f64 -1/3 (pow.f64 x 3)) x)
▶	0.3b	(.f64 (expm1.f64 (.f64 x 2)) (/.f64 1 (+.f64 1 (pow.f64 (exp.f64 2) x))))
✓	0.0b	(tanh.f64 x)
	1.9b	x

Compiler

Compiled 33 to 26 computations (21.2% saved)

localize57.0ms (1.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(pow.f64 (exp.f64 2) x)
✓	0.0b	(/.f64 1 (+.f64 1 (pow.f64 (exp.f64 2) x)))
✓	0.0b	(+.f64 1 (pow.f64 (exp.f64 2) x))
✓	0.3b	(.f64 (expm1.f64 (.f64 x 2)) (/.f64 1 (+.f64 1 (pow.f64 (exp.f64 2) x))))

Compiler

Compiled 44 to 36 computations (18.2% saved)

series5.0ms (0.1%)

Counts

4 → 48

Calls

12 calls:

Time	Variable		Point	Expression
1.0ms	x	@	0	(.f64 (expm1.f64 (.f64 x 2)) (/.f64 1 (+.f64 1 (pow.f64 (exp.f64 2) x))))
1.0ms	x	@	inf	(.f64 (expm1.f64 (.f64 x 2)) (/.f64 1 (+.f64 1 (pow.f64 (exp.f64 2) x))))
1.0ms	x	@	-inf	(.f64 (expm1.f64 (.f64 x 2)) (/.f64 1 (+.f64 1 (pow.f64 (exp.f64 2) x))))
1.0ms	x	@	inf	(/.f64 1 (+.f64 1 (pow.f64 (exp.f64 2) x)))
0.0ms	x	@	-inf	(/.f64 1 (+.f64 1 (pow.f64 (exp.f64 2) x)))

rewrite107.0ms (2.2%)

Algorithm

1×	batch-egg-rewrite

Rules

1074×	`*-commutative`
962×	`associate-*r/`
628×	`associate-*l/`
602×	`associate-/r*`
462×	`distribute-lft-in`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	84
1	266	84
2	3227	84

Stop Event

1×	node limit

Counts

4 → 293

Calls

Call 1

Inputs
(.f64 (expm1.f64 (.f64 x 2)) (/.f64 1 (+.f64 1 (pow.f64 (exp.f64 2) x))))
(+.f64 1 (pow.f64 (exp.f64 2) x))
(/.f64 1 (+.f64 1 (pow.f64 (exp.f64 2) x)))
(pow.f64 (exp.f64 2) x)

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

simplify151.0ms (3.1%)

Algorithm

1×	egg-herbie

Rules

1500×	`times-frac`
1362×	`associate-/l*`
940×	`associate-/r*`
740×	`associate-r`
682×	`associate-l`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	688	16797
1	1769	15063

Stop Event

1×	node limit

Counts

341 → 488

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 (.f64 2 x)) 1) (+.f64 1 (exp.f64 (.f64 2 x))))
(/.f64 (-.f64 (exp.f64 (.f64 2 x)) 1) (+.f64 1 (exp.f64 (.f64 2 x))))
(/.f64 (-.f64 (exp.f64 (.f64 2 x)) 1) (+.f64 1 (exp.f64 (.f64 2 x))))
(/.f64 (-.f64 (exp.f64 (.f64 2 x)) 1) (+.f64 1 (exp.f64 (.f64 2 x))))
(/.f64 (-.f64 (exp.f64 (.f64 2 x)) 1) (+.f64 1 (exp.f64 (.f64 2 x))))
(/.f64 (-.f64 (exp.f64 (.f64 2 x)) 1) (+.f64 1 (exp.f64 (.f64 2 x))))
(/.f64 (-.f64 (exp.f64 (.f64 2 x)) 1) (+.f64 1 (exp.f64 (.f64 2 x))))
(/.f64 (-.f64 (exp.f64 (.f64 2 x)) 1) (+.f64 1 (exp.f64 (.f64 2 x))))
2
(+.f64 (*.f64 2 x) 2)
(+.f64 (.f64 2 (pow.f64 x 2)) (+.f64 (.f64 2 x) 2))
(+.f64 (.f64 4/3 (pow.f64 x 3)) (+.f64 (.f64 2 (pow.f64 x 2)) (+.f64 (*.f64 2 x) 2)))
(+.f64 1 (exp.f64 (*.f64 2 x)))
(+.f64 1 (exp.f64 (*.f64 2 x)))
(+.f64 1 (exp.f64 (*.f64 2 x)))
(+.f64 1 (exp.f64 (*.f64 2 x)))
(+.f64 1 (exp.f64 (*.f64 2 x)))
(+.f64 1 (exp.f64 (*.f64 2 x)))
(+.f64 1 (exp.f64 (*.f64 2 x)))
(+.f64 1 (exp.f64 (*.f64 2 x)))
1/2
(+.f64 (*.f64 -1/2 x) 1/2)
(+.f64 (.f64 -1/2 x) (+.f64 (.f64 1/6 (pow.f64 x 3)) 1/2))
(+.f64 (.f64 -1/2 x) (+.f64 (.f64 1/6 (pow.f64 x 3)) (+.f64 1/2 (*.f64 -1/15 (pow.f64 x 5)))))
(/.f64 1 (+.f64 1 (exp.f64 (*.f64 2 x))))
(/.f64 1 (+.f64 1 (exp.f64 (*.f64 2 x))))
(/.f64 1 (+.f64 1 (exp.f64 (*.f64 2 x))))
(/.f64 1 (+.f64 1 (exp.f64 (*.f64 2 x))))
(/.f64 1 (+.f64 1 (exp.f64 (*.f64 2 x))))
(/.f64 1 (+.f64 1 (exp.f64 (*.f64 2 x))))
(/.f64 1 (+.f64 1 (exp.f64 (*.f64 2 x))))
(/.f64 1 (+.f64 1 (exp.f64 (*.f64 2 x))))
1
(+.f64 (*.f64 2 x) 1)
(+.f64 (.f64 2 (pow.f64 x 2)) (+.f64 (.f64 2 x) 1))
(+.f64 (.f64 4/3 (pow.f64 x 3)) (+.f64 (.f64 2 (pow.f64 x 2)) (+.f64 (*.f64 2 x) 1)))
(exp.f64 (*.f64 2 x))
(exp.f64 (*.f64 2 x))
(exp.f64 (*.f64 2 x))
(exp.f64 (*.f64 2 x))
(exp.f64 (*.f64 2 x))
(exp.f64 (*.f64 2 x))
(exp.f64 (*.f64 2 x))
(exp.f64 (*.f64 2 x))
(+.f64 (-.f64 (/.f64 (pow.f64 (exp.f64 2) x) (pow.f64 (hypot.f64 1 (exp.f64 x)) 2)) (exp.f64 (log1p.f64 (/.f64 1 (pow.f64 (hypot.f64 1 (exp.f64 x)) 2))))) 1)
(+.f64 (*.f64 (/.f64 1 (pow.f64 (hypot.f64 1 (exp.f64 x)) 2)) (pow.f64 (exp.f64 2) x)) (/.f64 -1 (pow.f64 (hypot.f64 1 (exp.f64 x)) 2)))
(+.f64 (.f64 (/.f64 (expm1.f64 (+.f64 x x)) (-.f64 1 (pow.f64 (exp.f64 4) x))) 1) (.f64 (/.f64 (expm1.f64 (+.f64 x x)) (-.f64 1 (pow.f64 (exp.f64 4) x))) (neg.f64 (pow.f64 (exp.f64 2) x))))
(+.f64 (.f64 (/.f64 (expm1.f64 (+.f64 x x)) (+.f64 1 (pow.f64 (exp.f64 2) (.f64 x 3)))) 1) (.f64 (/.f64 (expm1.f64 (+.f64 x x)) (+.f64 1 (pow.f64 (exp.f64 2) (.f64 x 3)))) (-.f64 (pow.f64 (exp.f64 4) x) (pow.f64 (exp.f64 2) x))))
(+.f64 (.f64 (/.f64 (expm1.f64 (+.f64 x x)) (+.f64 1 (pow.f64 (exp.f64 2) (.f64 x 3)))) (-.f64 (pow.f64 (exp.f64 4) x) (pow.f64 (exp.f64 2) x))) (.f64 (/.f64 (expm1.f64 (+.f64 x x)) (+.f64 1 (pow.f64 (exp.f64 2) (.f64 x 3)))) 1))
(+.f64 (*.f64 (pow.f64 (exp.f64 2) x) (/.f64 1 (pow.f64 (hypot.f64 1 (exp.f64 x)) 2))) (/.f64 -1 (pow.f64 (hypot.f64 1 (exp.f64 x)) 2)))
(+.f64 (.f64 1 (/.f64 (expm1.f64 (+.f64 x x)) (-.f64 1 (pow.f64 (exp.f64 4) x)))) (.f64 (neg.f64 (pow.f64 (exp.f64 2) x)) (/.f64 (expm1.f64 (+.f64 x x)) (-.f64 1 (pow.f64 (exp.f64 4) x)))))
(+.f64 (.f64 1 (/.f64 (expm1.f64 (+.f64 x x)) (+.f64 1 (pow.f64 (exp.f64 2) (.f64 x 3))))) (.f64 (-.f64 (pow.f64 (exp.f64 4) x) (pow.f64 (exp.f64 2) x)) (/.f64 (expm1.f64 (+.f64 x x)) (+.f64 1 (pow.f64 (exp.f64 2) (.f64 x 3))))))
(+.f64 (.f64 (-.f64 (pow.f64 (exp.f64 4) x) (pow.f64 (exp.f64 2) x)) (/.f64 (expm1.f64 (+.f64 x x)) (+.f64 1 (pow.f64 (exp.f64 2) (.f64 x 3))))) (.f64 1 (/.f64 (expm1.f64 (+.f64 x x)) (+.f64 1 (pow.f64 (exp.f64 2) (.f64 x 3))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (expm1.f64 (+.f64 x x)) (pow.f64 (hypot.f64 1 (exp.f64 x)) 2)))) 1)
(-.f64 (/.f64 (pow.f64 (exp.f64 2) x) (pow.f64 (hypot.f64 1 (exp.f64 x)) 2)) (/.f64 1 (pow.f64 (hypot.f64 1 (exp.f64 x)) 2)))
(/.f64 (expm1.f64 (+.f64 x x)) (pow.f64 (hypot.f64 1 (exp.f64 x)) 2))
(/.f64 1 (/.f64 (pow.f64 (hypot.f64 1 (exp.f64 x)) 2) (expm1.f64 (+.f64 x x))))
(/.f64 (/.f64 (expm1.f64 (+.f64 x x)) (pow.f64 (hypot.f64 1 (exp.f64 x)) 2)) 1)
(/.f64 (sqrt.f64 (expm1.f64 (+.f64 x x))) (/.f64 (pow.f64 (hypot.f64 1 (exp.f64 x)) 2) (sqrt.f64 (expm1.f64 (+.f64 x x)))))
(/.f64 (cbrt.f64 (expm1.f64 (+.f64 x x))) (/.f64 (pow.f64 (hypot.f64 1 (exp.f64 x)) 2) (pow.f64 (cbrt.f64 (expm1.f64 (+.f64 x x))) 2)))
(/.f64 (cbrt.f64 (expm1.f64 (+.f64 x x))) (/.f64 (/.f64 (pow.f64 (hypot.f64 1 (exp.f64 x)) 2) (sqrt.f64 (expm1.f64 (+.f64 x x)))) (cbrt.f64 (sqrt.f64 (expm1.f64 (+.f64 x x))))))
(/.f64 (cbrt.f64 (expm1.f64 (+.f64 x x))) (/.f64 (/.f64 (pow.f64 (hypot.f64 1 (exp.f64 x)) 2) (cbrt.f64 (expm1.f64 (+.f64 x x)))) (cbrt.f64 (expm1.f64 (+.f64 x x)))))
(/.f64 (pow.f64 (cbrt.f64 (expm1.f64 (+.f64 x x))) 2) (/.f64 (pow.f64 (hypot.f64 1 (exp.f64 x)) 2) (cbrt.f64 (expm1.f64 (+.f64 x x)))))
(/.f64 (neg.f64 (expm1.f64 (+.f64 x x))) (-.f64 -1 (pow.f64 (exp.f64 2) x)))
(/.f64 -1 (/.f64 (-.f64 -1 (pow.f64 (exp.f64 2) x)) (expm1.f64 (+.f64 x x))))
(/.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (expm1.f64 (+.f64 x x))) 2)) (/.f64 (/.f64 (pow.f64 (hypot.f64 1 (exp.f64 x)) 2) (sqrt.f64 (expm1.f64 (+.f64 x x)))) (sqrt.f64 (cbrt.f64 (expm1.f64 (+.f64 x x))))))
(/.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (expm1.f64 (+.f64 x x))) 2)) (/.f64 (/.f64 (pow.f64 (hypot.f64 1 (exp.f64 x)) 2) (cbrt.f64 (expm1.f64 (+.f64 x x)))) (sqrt.f64 (pow.f64 (cbrt.f64 (expm1.f64 (+.f64 x x))) 2))))
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(+.f64 (.f64 1 (/.f64 1 (+.f64 1 (pow.f64 (exp.f64 2) (.f64 x 3))))) (.f64 (-.f64 (pow.f64 (exp.f64 4) x) (pow.f64 (exp.f64 2) x)) (/.f64 1 (+.f64 1 (pow.f64 (exp.f64 2) (.f64 x 3))))))
(+.f64 (.f64 (-.f64 (pow.f64 (exp.f64 4) x) (pow.f64 (exp.f64 2) x)) (/.f64 1 (+.f64 1 (pow.f64 (exp.f64 2) (.f64 x 3))))) (.f64 1 (/.f64 1 (+.f64 1 (pow.f64 (exp.f64 2) (.f64 x 3))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (pow.f64 (hypot.f64 1 (exp.f64 x)) 2)))) 1)
(*.f64 1 (/.f64 1 (pow.f64 (hypot.f64 1 (exp.f64 x)) 2)))
(*.f64 (/.f64 1 (pow.f64 (hypot.f64 1 (exp.f64 x)) 2)) 1)
(*.f64 (/.f64 1 (hypot.f64 1 (exp.f64 x))) (/.f64 1 (hypot.f64 1 (exp.f64 x))))
(*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (hypot.f64 1 (exp.f64 x)) 2))) (cbrt.f64 (pow.f64 (pow.f64 (hypot.f64 1 (exp.f64 x)) 2) -2)))
(*.f64 (cbrt.f64 (pow.f64 (pow.f64 (hypot.f64 1 (exp.f64 x)) 2) -2)) (cbrt.f64 (/.f64 1 (pow.f64 (hypot.f64 1 (exp.f64 x)) 2))))
(*.f64 (neg.f64 (expm1.f64 (+.f64 x x))) (/.f64 1 (-.f64 1 (pow.f64 (exp.f64 4) x))))
(.f64 (-.f64 (pow.f64 (exp.f64 4) x) (expm1.f64 (+.f64 x x))) (/.f64 1 (+.f64 1 (pow.f64 (exp.f64 2) (.f64 x 3)))))
(*.f64 -1 (/.f64 -1 (pow.f64 (hypot.f64 1 (exp.f64 x)) 2)))
(*.f64 (/.f64 -1 (pow.f64 (hypot.f64 1 (exp.f64 x)) 2)) -1)
(*.f64 (/.f64 1 (-.f64 1 (pow.f64 (exp.f64 4) x))) (neg.f64 (expm1.f64 (+.f64 x x))))
(.f64 (/.f64 1 (+.f64 1 (pow.f64 (exp.f64 2) (.f64 x 3)))) (-.f64 (pow.f64 (exp.f64 4) x) (expm1.f64 (+.f64 x x))))
(*.f64 (pow.f64 (hypot.f64 1 (exp.f64 x)) -1) (pow.f64 (hypot.f64 1 (exp.f64 x)) -1))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 1 (exp.f64 x)) 2)) 2) -1) (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 1 (exp.f64 x)) 2)) -1))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 1 (exp.f64 x)) 2)) -1) (pow.f64 (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 1 (exp.f64 x)) 2)) 2) -1))
(.f64 (/.f64 (neg.f64 (expm1.f64 (+.f64 x x))) (-.f64 1 (.f64 (pow.f64 (exp.f64 4) x) (pow.f64 (exp.f64 4) x)))) (+.f64 1 (pow.f64 (exp.f64 4) x)))
(.f64 (/.f64 (neg.f64 (expm1.f64 (+.f64 x x))) (-.f64 1 (pow.f64 (pow.f64 (exp.f64 4) x) 3))) (+.f64 1 (.f64 (pow.f64 (exp.f64 4) x) (+.f64 1 (pow.f64 (exp.f64 4) x)))))
(.f64 (/.f64 (-.f64 (pow.f64 (exp.f64 4) x) (expm1.f64 (+.f64 x x))) (-.f64 1 (.f64 (pow.f64 (exp.f64 2) (.f64 x 3)) (pow.f64 (exp.f64 2) (.f64 x 3))))) (-.f64 1 (pow.f64 (exp.f64 2) (*.f64 x 3))))
(.f64 (/.f64 (-.f64 (pow.f64 (exp.f64 4) x) (expm1.f64 (+.f64 x x))) (+.f64 1 (pow.f64 (pow.f64 (exp.f64 2) (.f64 x 3)) 3))) (+.f64 1 (.f64 (pow.f64 (exp.f64 2) (.f64 x 3)) (-.f64 (pow.f64 (exp.f64 2) (*.f64 x 3)) 1))))
(*.f64 (/.f64 1 (neg.f64 (-.f64 1 (pow.f64 (exp.f64 4) x)))) (neg.f64 (neg.f64 (expm1.f64 (+.f64 x x)))))
(.f64 (/.f64 1 (neg.f64 (+.f64 1 (pow.f64 (exp.f64 2) (.f64 x 3))))) (neg.f64 (-.f64 (pow.f64 (exp.f64 4) x) (expm1.f64 (+.f64 x x)))))
(*.f64 (/.f64 1 (-.f64 (pow.f64 (exp.f64 4) x) 1)) (expm1.f64 (+.f64 x x)))
(.f64 (/.f64 (/.f64 1 (hypot.f64 1 (exp.f64 x))) (sqrt.f64 (+.f64 1 (pow.f64 (exp.f64 2) (.f64 x 3))))) (sqrt.f64 (-.f64 (pow.f64 (exp.f64 4) x) (expm1.f64 (+.f64 x x)))))
(*.f64 (/.f64 (/.f64 1 (hypot.f64 1 (exp.f64 x))) (sqrt.f64 (-.f64 1 (pow.f64 (exp.f64 4) x)))) (sqrt.f64 (neg.f64 (expm1.f64 (+.f64 x x)))))
(*.f64 (/.f64 -1 (neg.f64 (-.f64 1 (pow.f64 (exp.f64 4) x)))) (neg.f64 (expm1.f64 (+.f64 x x))))
(.f64 (/.f64 -1 (neg.f64 (+.f64 1 (pow.f64 (exp.f64 2) (.f64 x 3))))) (-.f64 (pow.f64 (exp.f64 4) x) (expm1.f64 (+.f64 x x))))
(.f64 (/.f64 (cbrt.f64 (pow.f64 (pow.f64 (hypot.f64 1 (exp.f64 x)) 2) -2)) (cbrt.f64 (+.f64 1 (pow.f64 (exp.f64 2) (.f64 x 3))))) (cbrt.f64 (-.f64 (pow.f64 (exp.f64 4) x) (expm1.f64 (+.f64 x x)))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (pow.f64 (hypot.f64 1 (exp.f64 x)) 2) -2)) (cbrt.f64 (-.f64 1 (pow.f64 (exp.f64 4) x)))) (cbrt.f64 (neg.f64 (expm1.f64 (+.f64 x x)))))
(pow.f64 (pow.f64 (hypot.f64 1 (exp.f64 x)) 2) -1)
(pow.f64 (/.f64 1 (pow.f64 (hypot.f64 1 (exp.f64 x)) 2)) 1)
(pow.f64 (/.f64 1 (hypot.f64 1 (exp.f64 x))) 2)
(pow.f64 (cbrt.f64 (/.f64 1 (pow.f64 (hypot.f64 1 (exp.f64 x)) 2))) 3)
(pow.f64 (/.f64 1 (pow.f64 (pow.f64 (hypot.f64 1 (exp.f64 x)) 2) 3)) 1/3)
(sqrt.f64 (pow.f64 (pow.f64 (hypot.f64 1 (exp.f64 x)) 2) -2))
(log.f64 (exp.f64 (/.f64 1 (pow.f64 (hypot.f64 1 (exp.f64 x)) 2))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (pow.f64 (hypot.f64 1 (exp.f64 x)) 2)))))
(cbrt.f64 (/.f64 1 (pow.f64 (pow.f64 (hypot.f64 1 (exp.f64 x)) 2) 3)))
(expm1.f64 (log1p.f64 (/.f64 1 (pow.f64 (hypot.f64 1 (exp.f64 x)) 2))))
(exp.f64 (neg.f64 (log1p.f64 (pow.f64 (exp.f64 2) x))))
(log1p.f64 (expm1.f64 (/.f64 1 (pow.f64 (hypot.f64 1 (exp.f64 x)) 2))))
(+.f64 (expm1.f64 (+.f64 x x)) 1)
(+.f64 1 (expm1.f64 (+.f64 x x)))
(+.f64 (pow.f64 (exp.f64 2) x) 0)
(+.f64 (pow.f64 (hypot.f64 1 (exp.f64 x)) 2) -1)
(-.f64 (pow.f64 (hypot.f64 1 (exp.f64 x)) 2) 1)
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (hypot.f64 1 (exp.f64 x)) 2))) 2)
(-.f64 (/.f64 1 (neg.f64 (expm1.f64 (+.f64 x x)))) (+.f64 (/.f64 (pow.f64 (exp.f64 4) x) (neg.f64 (expm1.f64 (+.f64 x x)))) 1))
(*.f64 1 (pow.f64 (exp.f64 2) x))
(*.f64 (pow.f64 (exp.f64 2) x) 1)
(*.f64 (pow.f64 (exp.f64 2) x) (pow.f64 1 x))
(*.f64 (exp.f64 x) (exp.f64 x))
(*.f64 (cbrt.f64 (pow.f64 (exp.f64 2) x)) (cbrt.f64 (pow.f64 (exp.f64 4) x)))
(*.f64 (cbrt.f64 (pow.f64 (exp.f64 4) x)) (cbrt.f64 (pow.f64 (exp.f64 2) x)))
(*.f64 (pow.f64 1 x) (pow.f64 (exp.f64 2) x))
(*.f64 (pow.f64 (sqrt.f64 (exp.f64 2)) x) (pow.f64 (sqrt.f64 (exp.f64 2)) x))
(*.f64 (pow.f64 (cbrt.f64 (exp.f64 4)) x) (pow.f64 (cbrt.f64 (exp.f64 2)) x))
(*.f64 (pow.f64 (cbrt.f64 (exp.f64 2)) x) (pow.f64 (cbrt.f64 (exp.f64 4)) x))
(sqrt.f64 (pow.f64 (exp.f64 4) x))
(log.f64 (exp.f64 (pow.f64 (exp.f64 2) x)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (exp.f64 2) x))))
(cbrt.f64 (pow.f64 (exp.f64 2) (*.f64 x 3)))
(expm1.f64 (log1p.f64 (pow.f64 (exp.f64 2) x)))
(exp.f64 (+.f64 x x))
(log1p.f64 (expm1.f64 (pow.f64 (exp.f64 2) 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 (.f64 2 x)) 1) (+.f64 1 (exp.f64 (.f64 2 x))))
(/.f64 (expm1.f64 (+.f64 x x)) (+.f64 1 (pow.f64 (exp.f64 2) x)))
(/.f64 (expm1.f64 (+.f64 x x)) (+.f64 2 (expm1.f64 (+.f64 x x))))
(/.f64 (-.f64 (exp.f64 (.f64 2 x)) 1) (+.f64 1 (exp.f64 (.f64 2 x))))
(/.f64 (expm1.f64 (+.f64 x x)) (+.f64 1 (pow.f64 (exp.f64 2) x)))
(/.f64 (expm1.f64 (+.f64 x x)) (+.f64 2 (expm1.f64 (+.f64 x x))))
(/.f64 (-.f64 (exp.f64 (.f64 2 x)) 1) (+.f64 1 (exp.f64 (.f64 2 x))))
(/.f64 (expm1.f64 (+.f64 x x)) (+.f64 1 (pow.f64 (exp.f64 2) x)))
(/.f64 (expm1.f64 (+.f64 x x)) (+.f64 2 (expm1.f64 (+.f64 x x))))
(/.f64 (-.f64 (exp.f64 (.f64 2 x)) 1) (+.f64 1 (exp.f64 (.f64 2 x))))
(/.f64 (expm1.f64 (+.f64 x x)) (+.f64 1 (pow.f64 (exp.f64 2) x)))
(/.f64 (expm1.f64 (+.f64 x x)) (+.f64 2 (expm1.f64 (+.f64 x x))))
(/.f64 (-.f64 (exp.f64 (.f64 2 x)) 1) (+.f64 1 (exp.f64 (.f64 2 x))))
(/.f64 (expm1.f64 (+.f64 x x)) (+.f64 1 (pow.f64 (exp.f64 2) x)))
(/.f64 (expm1.f64 (+.f64 x x)) (+.f64 2 (expm1.f64 (+.f64 x x))))
(/.f64 (-.f64 (exp.f64 (.f64 2 x)) 1) (+.f64 1 (exp.f64 (.f64 2 x))))
(/.f64 (expm1.f64 (+.f64 x x)) (+.f64 1 (pow.f64 (exp.f64 2) x)))
(/.f64 (expm1.f64 (+.f64 x x)) (+.f64 2 (expm1.f64 (+.f64 x x))))
(/.f64 (-.f64 (exp.f64 (.f64 2 x)) 1) (+.f64 1 (exp.f64 (.f64 2 x))))
(/.f64 (expm1.f64 (+.f64 x x)) (+.f64 1 (pow.f64 (exp.f64 2) x)))
(/.f64 (expm1.f64 (+.f64 x x)) (+.f64 2 (expm1.f64 (+.f64 x x))))
(/.f64 (-.f64 (exp.f64 (.f64 2 x)) 1) (+.f64 1 (exp.f64 (.f64 2 x))))
(/.f64 (expm1.f64 (+.f64 x x)) (+.f64 1 (pow.f64 (exp.f64 2) x)))
(/.f64 (expm1.f64 (+.f64 x x)) (+.f64 2 (expm1.f64 (+.f64 x x))))
2
(+.f64 (*.f64 2 x) 2)
(fma.f64 2 x 2)
(+.f64 (.f64 2 (pow.f64 x 2)) (+.f64 (.f64 2 x) 2))
(fma.f64 2 (*.f64 x x) (fma.f64 2 x 2))
(+.f64 (.f64 4/3 (pow.f64 x 3)) (+.f64 (.f64 2 (pow.f64 x 2)) (+.f64 (*.f64 2 x) 2)))
(fma.f64 4/3 (pow.f64 x 3) (fma.f64 2 (*.f64 x x) (fma.f64 2 x 2)))
(+.f64 1 (exp.f64 (*.f64 2 x)))
(+.f64 1 (pow.f64 (exp.f64 2) x))
(+.f64 2 (expm1.f64 (+.f64 x x)))
(+.f64 1 (exp.f64 (*.f64 2 x)))
(+.f64 1 (pow.f64 (exp.f64 2) x))
(+.f64 2 (expm1.f64 (+.f64 x x)))
(+.f64 1 (exp.f64 (*.f64 2 x)))
(+.f64 1 (pow.f64 (exp.f64 2) x))
(+.f64 2 (expm1.f64 (+.f64 x x)))
(+.f64 1 (exp.f64 (*.f64 2 x)))
(+.f64 1 (pow.f64 (exp.f64 2) x))
(+.f64 2 (expm1.f64 (+.f64 x x)))
(+.f64 1 (exp.f64 (*.f64 2 x)))
(+.f64 1 (pow.f64 (exp.f64 2) x))
(+.f64 2 (expm1.f64 (+.f64 x x)))
(+.f64 1 (exp.f64 (*.f64 2 x)))
(+.f64 1 (pow.f64 (exp.f64 2) x))
(+.f64 2 (expm1.f64 (+.f64 x x)))
(+.f64 1 (exp.f64 (*.f64 2 x)))
(+.f64 1 (pow.f64 (exp.f64 2) x))
(+.f64 2 (expm1.f64 (+.f64 x x)))
(+.f64 1 (exp.f64 (*.f64 2 x)))
(+.f64 1 (pow.f64 (exp.f64 2) x))
(+.f64 2 (expm1.f64 (+.f64 x x)))
1/2
(+.f64 (*.f64 -1/2 x) 1/2)
(fma.f64 -1/2 x 1/2)
(+.f64 (.f64 -1/2 x) (+.f64 (.f64 1/6 (pow.f64 x 3)) 1/2))
(fma.f64 -1/2 x (fma.f64 1/6 (pow.f64 x 3) 1/2))
(+.f64 (.f64 -1/2 x) (+.f64 (.f64 1/6 (pow.f64 x 3)) (+.f64 1/2 (*.f64 -1/15 (pow.f64 x 5)))))
(fma.f64 -1/2 x (+.f64 (fma.f64 1/6 (pow.f64 x 3) 1/2) (*.f64 (pow.f64 x 5) -1/15)))
(+.f64 (fma.f64 -1/2 x (fma.f64 1/6 (pow.f64 x 3) 1/2)) (*.f64 (pow.f64 x 5) -1/15))
(/.f64 1 (+.f64 1 (exp.f64 (*.f64 2 x))))
(/.f64 1 (+.f64 1 (pow.f64 (exp.f64 2) x)))
(/.f64 1 (+.f64 2 (expm1.f64 (+.f64 x x))))
(/.f64 1 (+.f64 1 (exp.f64 (*.f64 2 x))))
(/.f64 1 (+.f64 1 (pow.f64 (exp.f64 2) x)))
(/.f64 1 (+.f64 2 (expm1.f64 (+.f64 x x))))
(/.f64 1 (+.f64 1 (exp.f64 (*.f64 2 x))))
(/.f64 1 (+.f64 1 (pow.f64 (exp.f64 2) x)))
(/.f64 1 (+.f64 2 (expm1.f64 (+.f64 x x))))
(/.f64 1 (+.f64 1 (exp.f64 (*.f64 2 x))))
(/.f64 1 (+.f64 1 (pow.f64 (exp.f64 2) x)))
(/.f64 1 (+.f64 2 (expm1.f64 (+.f64 x x))))
(/.f64 1 (+.f64 1 (exp.f64 (*.f64 2 x))))
(/.f64 1 (+.f64 1 (pow.f64 (exp.f64 2) x)))
(/.f64 1 (+.f64 2 (expm1.f64 (+.f64 x x))))
(/.f64 1 (+.f64 1 (exp.f64 (*.f64 2 x))))
(/.f64 1 (+.f64 1 (pow.f64 (exp.f64 2) x)))
(/.f64 1 (+.f64 2 (expm1.f64 (+.f64 x x))))
(/.f64 1 (+.f64 1 (exp.f64 (*.f64 2 x))))
(/.f64 1 (+.f64 1 (pow.f64 (exp.f64 2) x)))
(/.f64 1 (+.f64 2 (expm1.f64 (+.f64 x x))))
(/.f64 1 (+.f64 1 (exp.f64 (*.f64 2 x))))
(/.f64 1 (+.f64 1 (pow.f64 (exp.f64 2) x)))
(/.f64 1 (+.f64 2 (expm1.f64 (+.f64 x x))))
1
(+.f64 (*.f64 2 x) 1)
(fma.f64 2 x 1)
(+.f64 (.f64 2 (pow.f64 x 2)) (+.f64 (.f64 2 x) 1))
(fma.f64 2 (*.f64 x x) (fma.f64 2 x 1))
(+.f64 (.f64 4/3 (pow.f64 x 3)) (+.f64 (.f64 2 (pow.f64 x 2)) (+.f64 (*.f64 2 x) 1)))
(fma.f64 4/3 (pow.f64 x 3) (fma.f64 2 (*.f64 x x) (fma.f64 2 x 1)))
(exp.f64 (*.f64 2 x))
(pow.f64 (exp.f64 2) x)
(exp.f64 (*.f64 2 x))
(pow.f64 (exp.f64 2) x)
(exp.f64 (*.f64 2 x))
(pow.f64 (exp.f64 2) x)
(exp.f64 (*.f64 2 x))
(pow.f64 (exp.f64 2) x)
(exp.f64 (*.f64 2 x))
(pow.f64 (exp.f64 2) x)
(exp.f64 (*.f64 2 x))
(pow.f64 (exp.f64 2) x)
(exp.f64 (*.f64 2 x))
(pow.f64 (exp.f64 2) x)
(exp.f64 (*.f64 2 x))
(pow.f64 (exp.f64 2) x)
(+.f64 (-.f64 (/.f64 (pow.f64 (exp.f64 2) x) (pow.f64 (hypot.f64 1 (exp.f64 x)) 2)) (exp.f64 (log1p.f64 (/.f64 1 (pow.f64 (hypot.f64 1 (exp.f64 x)) 2))))) 1)
(-.f64 (/.f64 (pow.f64 (exp.f64 2) x) (pow.f64 (hypot.f64 1 (exp.f64 x)) 2)) (/.f64 1 (pow.f64 (hypot.f64 1 (exp.f64 x)) 2)))
(*.f64 (pow.f64 (hypot.f64 1 (exp.f64 x)) -2) (expm1.f64 (+.f64 x x)))
(+.f64 (*.f64 (/.f64 1 (pow.f64 (hypot.f64 1 (exp.f64 x)) 2)) (pow.f64 (exp.f64 2) x)) (/.f64 -1 (pow.f64 (hypot.f64 1 (exp.f64 x)) 2)))
(-.f64 (/.f64 (pow.f64 (exp.f64 2) x) (pow.f64 (hypot.f64 1 (exp.f64 x)) 2)) (/.f64 1 (pow.f64 (hypot.f64 1 (exp.f64 x)) 2)))
(*.f64 (pow.f64 (hypot.f64 1 (exp.f64 x)) -2) (expm1.f64 (+.f64 x x)))
(+.f64 (.f64 (/.f64 (expm1.f64 (+.f64 x x)) (-.f64 1 (pow.f64 (exp.f64 4) x))) 1) (.f64 (/.f64 (expm1.f64 (+.f64 x x)) (-.f64 1 (pow.f64 (exp.f64 4) x))) (neg.f64 (pow.f64 (exp.f64 2) x))))
(*.f64 (/.f64 (expm1.f64 (+.f64 x x)) (-.f64 1 (pow.f64 (exp.f64 4) x))) (+.f64 1 (neg.f64 (pow.f64 (exp.f64 2) x))))
(*.f64 (expm1.f64 (+.f64 x x)) (/.f64 (expm1.f64 (+.f64 x x)) (+.f64 -1 (pow.f64 (exp.f64 4) x))))
(+.f64 (.f64 (/.f64 (expm1.f64 (+.f64 x x)) (+.f64 1 (pow.f64 (exp.f64 2) (.f64 x 3)))) 1) (.f64 (/.f64 (expm1.f64 (+.f64 x x)) (+.f64 1 (pow.f64 (exp.f64 2) (.f64 x 3)))) (-.f64 (pow.f64 (exp.f64 4) x) (pow.f64 (exp.f64 2) x))))
(.f64 (/.f64 (expm1.f64 (+.f64 x x)) (+.f64 1 (pow.f64 (exp.f64 2) (.f64 x 3)))) (+.f64 1 (-.f64 (pow.f64 (exp.f64 4) x) (pow.f64 (exp.f64 2) x))))
(.f64 (expm1.f64 (+.f64 x x)) (/.f64 (-.f64 (pow.f64 (exp.f64 4) x) (expm1.f64 (+.f64 x x))) (+.f64 1 (pow.f64 (exp.f64 2) (.f64 x 3)))))
(+.f64 (.f64 (/.f64 (expm1.f64 (+.f64 x x)) (+.f64 1 (pow.f64 (exp.f64 2) (.f64 x 3)))) (-.f64 (pow.f64 (exp.f64 4) x) (pow.f64 (exp.f64 2) x))) (.f64 (/.f64 (expm1.f64 (+.f64 x x)) (+.f64 1 (pow.f64 (exp.f64 2) (.f64 x 3)))) 1))
(.f64 (/.f64 (expm1.f64 (+.f64 x x)) (+.f64 1 (pow.f64 (exp.f64 2) (.f64 x 3)))) (+.f64 1 (-.f64 (pow.f64 (exp.f64 4) x) (pow.f64 (exp.f64 2) x))))
(.f64 (expm1.f64 (+.f64 x x)) (/.f64 (-.f64 (pow.f64 (exp.f64 4) x) (expm1.f64 (+.f64 x x))) (+.f64 1 (pow.f64 (exp.f64 2) (.f64 x 3)))))
(+.f64 (*.f64 (pow.f64 (exp.f64 2) x) (/.f64 1 (pow.f64 (hypot.f64 1 (exp.f64 x)) 2))) (/.f64 -1 (pow.f64 (hypot.f64 1 (exp.f64 x)) 2)))
(-.f64 (/.f64 (pow.f64 (exp.f64 2) x) (pow.f64 (hypot.f64 1 (exp.f64 x)) 2)) (/.f64 1 (pow.f64 (hypot.f64 1 (exp.f64 x)) 2)))
(*.f64 (pow.f64 (hypot.f64 1 (exp.f64 x)) -2) (expm1.f64 (+.f64 x x)))
(+.f64 (.f64 1 (/.f64 (expm1.f64 (+.f64 x x)) (-.f64 1 (pow.f64 (exp.f64 4) x)))) (.f64 (neg.f64 (pow.f64 (exp.f64 2) x)) (/.f64 (expm1.f64 (+.f64 x x)) (-.f64 1 (pow.f64 (exp.f64 4) x)))))
(*.f64 (/.f64 (expm1.f64 (+.f64 x x)) (-.f64 1 (pow.f64 (exp.f64 4) x))) (+.f64 1 (neg.f64 (pow.f64 (exp.f64 2) x))))
(*.f64 (expm1.f64 (+.f64 x x)) (/.f64 (expm1.f64 (+.f64 x x)) (+.f64 -1 (pow.f64 (exp.f64 4) x))))
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(pow.f64 (/.f64 1 (pow.f64 (hypot.f64 1 (exp.f64 x)) 2)) 1)
(/.f64 1 (pow.f64 (hypot.f64 1 (exp.f64 x)) 2))
(pow.f64 (hypot.f64 1 (exp.f64 x)) -2)
(pow.f64 (/.f64 1 (hypot.f64 1 (exp.f64 x))) 2)
(/.f64 1 (pow.f64 (hypot.f64 1 (exp.f64 x)) 2))
(pow.f64 (hypot.f64 1 (exp.f64 x)) -2)
(pow.f64 (cbrt.f64 (/.f64 1 (pow.f64 (hypot.f64 1 (exp.f64 x)) 2))) 3)
(/.f64 1 (pow.f64 (hypot.f64 1 (exp.f64 x)) 2))
(pow.f64 (hypot.f64 1 (exp.f64 x)) -2)
(pow.f64 (/.f64 1 (pow.f64 (pow.f64 (hypot.f64 1 (exp.f64 x)) 2) 3)) 1/3)
(cbrt.f64 (/.f64 1 (pow.f64 (pow.f64 (hypot.f64 1 (exp.f64 x)) 2) 3)))
(sqrt.f64 (pow.f64 (pow.f64 (hypot.f64 1 (exp.f64 x)) 2) -2))
(sqrt.f64 (/.f64 1 (pow.f64 (hypot.f64 1 (exp.f64 x)) 4)))
(log.f64 (exp.f64 (/.f64 1 (pow.f64 (hypot.f64 1 (exp.f64 x)) 2))))
(/.f64 1 (pow.f64 (hypot.f64 1 (exp.f64 x)) 2))
(pow.f64 (hypot.f64 1 (exp.f64 x)) -2)
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (pow.f64 (hypot.f64 1 (exp.f64 x)) 2)))))
(/.f64 1 (pow.f64 (hypot.f64 1 (exp.f64 x)) 2))
(pow.f64 (hypot.f64 1 (exp.f64 x)) -2)
(cbrt.f64 (/.f64 1 (pow.f64 (pow.f64 (hypot.f64 1 (exp.f64 x)) 2) 3)))
(expm1.f64 (log1p.f64 (/.f64 1 (pow.f64 (hypot.f64 1 (exp.f64 x)) 2))))
(/.f64 1 (pow.f64 (hypot.f64 1 (exp.f64 x)) 2))
(pow.f64 (hypot.f64 1 (exp.f64 x)) -2)
(exp.f64 (neg.f64 (log1p.f64 (pow.f64 (exp.f64 2) x))))
(log1p.f64 (expm1.f64 (/.f64 1 (pow.f64 (hypot.f64 1 (exp.f64 x)) 2))))
(/.f64 1 (pow.f64 (hypot.f64 1 (exp.f64 x)) 2))
(pow.f64 (hypot.f64 1 (exp.f64 x)) -2)
(+.f64 (expm1.f64 (+.f64 x x)) 1)
(pow.f64 (exp.f64 2) x)
(+.f64 1 (expm1.f64 (+.f64 x x)))
(pow.f64 (exp.f64 2) x)
(+.f64 (pow.f64 (exp.f64 2) x) 0)
(pow.f64 (exp.f64 2) x)
(+.f64 (pow.f64 (hypot.f64 1 (exp.f64 x)) 2) -1)
(-.f64 (pow.f64 (hypot.f64 1 (exp.f64 x)) 2) 1)
(+.f64 (pow.f64 (hypot.f64 1 (exp.f64 x)) 2) -1)
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (hypot.f64 1 (exp.f64 x)) 2))) 2)
(+.f64 (pow.f64 (hypot.f64 1 (exp.f64 x)) 2) -1)
(-.f64 (/.f64 1 (neg.f64 (expm1.f64 (+.f64 x x)))) (+.f64 (/.f64 (pow.f64 (exp.f64 4) x) (neg.f64 (expm1.f64 (+.f64 x x)))) 1))
(-.f64 (/.f64 (-.f64 1 (pow.f64 (exp.f64 4) x)) (neg.f64 (expm1.f64 (+.f64 x x)))) 1)
(+.f64 (/.f64 (+.f64 -1 (pow.f64 (exp.f64 4) x)) (expm1.f64 (+.f64 x x))) -1)
(*.f64 1 (pow.f64 (exp.f64 2) x))
(pow.f64 (exp.f64 2) x)
(*.f64 (pow.f64 (exp.f64 2) x) 1)
(pow.f64 (exp.f64 2) x)
(*.f64 (pow.f64 (exp.f64 2) x) (pow.f64 1 x))
(pow.f64 (exp.f64 2) x)
(*.f64 (exp.f64 x) (exp.f64 x))
(pow.f64 (exp.f64 2) x)
(*.f64 (cbrt.f64 (pow.f64 (exp.f64 2) x)) (cbrt.f64 (pow.f64 (exp.f64 4) x)))
(*.f64 (cbrt.f64 (pow.f64 (exp.f64 4) x)) (cbrt.f64 (pow.f64 (exp.f64 2) x)))
(*.f64 (cbrt.f64 (pow.f64 (exp.f64 4) x)) (cbrt.f64 (pow.f64 (exp.f64 2) x)))
(*.f64 (pow.f64 1 x) (pow.f64 (exp.f64 2) x))
(pow.f64 (exp.f64 2) x)
(*.f64 (pow.f64 (sqrt.f64 (exp.f64 2)) x) (pow.f64 (sqrt.f64 (exp.f64 2)) x))
(pow.f64 (sqrt.f64 (exp.f64 2)) (+.f64 x x))
(*.f64 (pow.f64 (cbrt.f64 (exp.f64 4)) x) (pow.f64 (cbrt.f64 (exp.f64 2)) x))
(*.f64 (pow.f64 (cbrt.f64 (exp.f64 2)) x) (pow.f64 (cbrt.f64 (exp.f64 4)) x))
(*.f64 (pow.f64 (cbrt.f64 (exp.f64 4)) x) (pow.f64 (cbrt.f64 (exp.f64 2)) x))
(sqrt.f64 (pow.f64 (exp.f64 4) x))
(log.f64 (exp.f64 (pow.f64 (exp.f64 2) x)))
(pow.f64 (exp.f64 2) x)
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (exp.f64 2) x))))
(pow.f64 (exp.f64 2) x)
(cbrt.f64 (pow.f64 (exp.f64 2) (*.f64 x 3)))
(expm1.f64 (log1p.f64 (pow.f64 (exp.f64 2) x)))
(pow.f64 (exp.f64 2) x)
(exp.f64 (+.f64 x x))
(pow.f64 (exp.f64 2) x)
(log1p.f64 (expm1.f64 (pow.f64 (exp.f64 2) x)))
(pow.f64 (exp.f64 2) x)

localize5.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
	0.0b	(tanh.f64 x)
✓	0.3b	(pow.f64 (sqrt.f64 (tanh.f64 x)) 2)

Compiler

Compiled 13 to 6 computations (53.8% saved)

series3.0ms (0.1%)

Counts

1 → 8

Calls

3 calls:

Time	Variable		Point	Expression
1.0ms	x	@	0	(pow.f64 (sqrt.f64 (tanh.f64 x)) 2)
1.0ms	x	@	inf	(pow.f64 (sqrt.f64 (tanh.f64 x)) 2)
1.0ms	x	@	-inf	(pow.f64 (sqrt.f64 (tanh.f64 x)) 2)

rewrite90.0ms (1.8%)

Algorithm

1×	batch-egg-rewrite

Rules

1586×	`add-sqr-sqrt`
1562×	`*-un-lft-identity`
1458×	`add-cube-cbrt`
1448×	`add-cbrt-cube`
1442×	`add-exp-log`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	5
1	176	5
2	1940	5

Stop Event

1×	node limit

Counts

1 → 33

Calls

Call 1

Inputs
(pow.f64 (sqrt.f64 (tanh.f64 x)) 2)

Outputs

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

simplify67.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

902×	`associate-+l+`
784×	`associate-+l-`
690×	`associate-+r+`
538×	`associate-+r-`
484×	`distribute-lft-neg-in`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	95	277
1	232	277
2	738	277
3	3521	277

Stop Event

1×	node limit

Counts

41 → 37

Calls

Call 1

Inputs
(/.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 (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 x) (.f64 2 (cosh.f64 x))) (/.f64 (exp.f64 (neg.f64 x)) (.f64 2 (cosh.f64 x))))
(-.f64 (/.f64 (pow.f64 (exp.f64 2) x) (+.f64 1 (pow.f64 (exp.f64 2) x))) (/.f64 1 (+.f64 1 (pow.f64 (exp.f64 2) x))))
(*.f64 (tanh.f64 x) 1)
(*.f64 (sqrt.f64 (tanh.f64 x)) (sqrt.f64 (tanh.f64 x)))
(*.f64 1 (tanh.f64 x))
(.f64 (pow.f64 (tanh.f64 x) 1/4) (.f64 (pow.f64 (tanh.f64 x) 1/4) (sqrt.f64 (tanh.f64 x))))
(*.f64 (cbrt.f64 (tanh.f64 x)) (pow.f64 (cbrt.f64 (tanh.f64 x)) 2))
(.f64 (cbrt.f64 (tanh.f64 x)) (.f64 (cbrt.f64 (sqrt.f64 (tanh.f64 x))) (sqrt.f64 (tanh.f64 x))))
(*.f64 (pow.f64 (cbrt.f64 (tanh.f64 x)) 2) (cbrt.f64 (tanh.f64 x)))
(.f64 (.f64 2 (sinh.f64 x)) (/.f64 1 (*.f64 2 (cosh.f64 x))))
(.f64 (expm1.f64 (.f64 x 2)) (/.f64 1 (+.f64 1 (pow.f64 (exp.f64 2) x))))
(*.f64 (-.f64 1 (pow.f64 (exp.f64 -2) x)) (/.f64 1 (+.f64 1 (pow.f64 (exp.f64 -2) x))))
(.f64 (.f64 (sqrt.f64 (tanh.f64 x)) (pow.f64 (tanh.f64 x) 1/4)) (pow.f64 (tanh.f64 x) 1/4))
(.f64 (.f64 (sqrt.f64 (tanh.f64 x)) (cbrt.f64 (tanh.f64 x))) (cbrt.f64 (sqrt.f64 (tanh.f64 x))))
(/.f64 1 (/.f64 (.f64 2 (cosh.f64 x)) (.f64 2 (sinh.f64 x))))
(/.f64 1 (/.f64 (+.f64 1 (pow.f64 (exp.f64 2) x)) (expm1.f64 (*.f64 x 2))))
(/.f64 1 (/.f64 (+.f64 1 (pow.f64 (exp.f64 -2) x)) (-.f64 1 (pow.f64 (exp.f64 -2) x))))
(/.f64 (.f64 2 (sinh.f64 x)) (.f64 2 (cosh.f64 x)))
(/.f64 (expm1.f64 (*.f64 x 2)) (+.f64 1 (pow.f64 (exp.f64 2) x)))
(/.f64 (-.f64 1 (pow.f64 (exp.f64 -2) x)) (+.f64 1 (pow.f64 (exp.f64 -2) x)))
(/.f64 (neg.f64 (.f64 2 (sinh.f64 x))) (neg.f64 (.f64 2 (cosh.f64 x))))
(/.f64 (neg.f64 (expm1.f64 (*.f64 x 2))) (neg.f64 (+.f64 1 (pow.f64 (exp.f64 2) x))))
(/.f64 (neg.f64 (-.f64 1 (pow.f64 (exp.f64 -2) x))) (neg.f64 (+.f64 1 (pow.f64 (exp.f64 -2) x))))
(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)))
(exp.f64 (log.f64 (tanh.f64 x)))
(exp.f64 (*.f64 (log.f64 (tanh.f64 x)) 1))
(log1p.f64 (expm1.f64 (tanh.f64 x)))
(tanh.f64 x)

Outputs
(/.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 (+.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 x) (.f64 2 (cosh.f64 x))) (/.f64 (exp.f64 (neg.f64 x)) (.f64 2 (cosh.f64 x))))
(tanh.f64 x)
(-.f64 (/.f64 (pow.f64 (exp.f64 2) x) (+.f64 1 (pow.f64 (exp.f64 2) x))) (/.f64 1 (+.f64 1 (pow.f64 (exp.f64 2) x))))
(tanh.f64 x)
(*.f64 (tanh.f64 x) 1)
(tanh.f64 x)
(*.f64 (sqrt.f64 (tanh.f64 x)) (sqrt.f64 (tanh.f64 x)))
(tanh.f64 x)
(*.f64 1 (tanh.f64 x))
(tanh.f64 x)
(.f64 (pow.f64 (tanh.f64 x) 1/4) (.f64 (pow.f64 (tanh.f64 x) 1/4) (sqrt.f64 (tanh.f64 x))))
(tanh.f64 x)
(*.f64 (cbrt.f64 (tanh.f64 x)) (pow.f64 (cbrt.f64 (tanh.f64 x)) 2))
(tanh.f64 x)
(.f64 (cbrt.f64 (tanh.f64 x)) (.f64 (cbrt.f64 (sqrt.f64 (tanh.f64 x))) (sqrt.f64 (tanh.f64 x))))
(.f64 (cbrt.f64 (tanh.f64 x)) (.f64 (sqrt.f64 (tanh.f64 x)) (cbrt.f64 (sqrt.f64 (tanh.f64 x)))))
(.f64 (sqrt.f64 (tanh.f64 x)) (.f64 (cbrt.f64 (tanh.f64 x)) (cbrt.f64 (sqrt.f64 (tanh.f64 x)))))
(.f64 (cbrt.f64 (sqrt.f64 (tanh.f64 x))) (.f64 (sqrt.f64 (tanh.f64 x)) (cbrt.f64 (tanh.f64 x))))
(*.f64 (pow.f64 (cbrt.f64 (tanh.f64 x)) 2) (cbrt.f64 (tanh.f64 x)))
(tanh.f64 x)
(.f64 (.f64 2 (sinh.f64 x)) (/.f64 1 (*.f64 2 (cosh.f64 x))))
(tanh.f64 x)
(.f64 (expm1.f64 (.f64 x 2)) (/.f64 1 (+.f64 1 (pow.f64 (exp.f64 2) 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 (.f64 (sqrt.f64 (tanh.f64 x)) (pow.f64 (tanh.f64 x) 1/4)) (pow.f64 (tanh.f64 x) 1/4))
(tanh.f64 x)
(.f64 (.f64 (sqrt.f64 (tanh.f64 x)) (cbrt.f64 (tanh.f64 x))) (cbrt.f64 (sqrt.f64 (tanh.f64 x))))
(.f64 (cbrt.f64 (tanh.f64 x)) (.f64 (sqrt.f64 (tanh.f64 x)) (cbrt.f64 (sqrt.f64 (tanh.f64 x)))))
(.f64 (sqrt.f64 (tanh.f64 x)) (.f64 (cbrt.f64 (tanh.f64 x)) (cbrt.f64 (sqrt.f64 (tanh.f64 x)))))
(.f64 (cbrt.f64 (sqrt.f64 (tanh.f64 x))) (.f64 (sqrt.f64 (tanh.f64 x)) (cbrt.f64 (tanh.f64 x))))
(/.f64 1 (/.f64 (.f64 2 (cosh.f64 x)) (.f64 2 (sinh.f64 x))))
(tanh.f64 x)
(/.f64 1 (/.f64 (+.f64 1 (pow.f64 (exp.f64 2) x)) (expm1.f64 (*.f64 x 2))))
(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 (.f64 2 (sinh.f64 x)) (.f64 2 (cosh.f64 x)))
(tanh.f64 x)
(/.f64 (expm1.f64 (*.f64 x 2)) (+.f64 1 (pow.f64 (exp.f64 2) 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 (neg.f64 (.f64 2 (sinh.f64 x))) (neg.f64 (.f64 2 (cosh.f64 x))))
(tanh.f64 x)
(/.f64 (neg.f64 (expm1.f64 (*.f64 x 2))) (neg.f64 (+.f64 1 (pow.f64 (exp.f64 2) 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)
(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)
(exp.f64 (log.f64 (tanh.f64 x)))
(tanh.f64 x)
(exp.f64 (*.f64 (log.f64 (tanh.f64 x)) 1))
(tanh.f64 x)
(log1p.f64 (expm1.f64 (tanh.f64 x)))
(tanh.f64 x)
(tanh.f64 x)

eval332.0ms (6.7%)

Compiler: Compiled 12530 to 8861 computations (29.3% saved)

prune92.0ms (1.9%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	525	1	526
Fresh	0	1	1
Picked	0	1	1
Done	1	2	3
Total	526	5	531

Error

Counts

531 → 5

Alt Table

Click to see full alt table

Status	Error	Program
✓	32.0b	(pow.f64 (sqrt.f64 (tanh.f64 x)) 2)
✓	1.7b	(+.f64 (*.f64 -1/3 (pow.f64 x 3)) x)
▶	0.3b	(.f64 (expm1.f64 (.f64 x 2)) (/.f64 1 (+.f64 2 (expm1.f64 (+.f64 x x)))))
✓	0.0b	(tanh.f64 x)
	1.9b	x

Compiler

Compiled 33 to 25 computations (24.2% saved)

localize15.0ms (0.3%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 2 (expm1.f64 (+.f64 x x)))
✓	0.0b	(/.f64 1 (+.f64 2 (expm1.f64 (+.f64 x x))))
✓	0.3b	(.f64 (expm1.f64 (.f64 x 2)) (/.f64 1 (+.f64 2 (expm1.f64 (+.f64 x x)))))

Compiler

Compiled 45 to 24 computations (46.7% saved)

series3.0ms (0.1%)

Counts

3 → 36

Calls

9 calls:

Time	Variable		Point	Expression
1.0ms	x	@	-inf	(.f64 (expm1.f64 (.f64 x 2)) (/.f64 1 (+.f64 2 (expm1.f64 (+.f64 x x)))))
1.0ms	x	@	-inf	(/.f64 1 (+.f64 2 (expm1.f64 (+.f64 x x))))
0.0ms	x	@	inf	(.f64 (expm1.f64 (.f64 x 2)) (/.f64 1 (+.f64 2 (expm1.f64 (+.f64 x x)))))
0.0ms	x	@	inf	(/.f64 1 (+.f64 2 (expm1.f64 (+.f64 x x))))
0.0ms	x	@	0	(.f64 (expm1.f64 (.f64 x 2)) (/.f64 1 (+.f64 2 (expm1.f64 (+.f64 x x)))))

rewrite63.0ms (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1150×	`associate-*r/`
946×	`*-commutative`
760×	`associate-*l/`
638×	`associate-/r*`
494×	`distribute-lft-in`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	13	73
1	278	73
2	3113	3

Stop Event

1×	node limit

Counts

3 → 3

Calls

Call 1

Inputs
(.f64 (expm1.f64 (.f64 x 2)) (/.f64 1 (+.f64 2 (expm1.f64 (+.f64 x x)))))
(/.f64 1 (+.f64 2 (expm1.f64 (+.f64 x x))))
(+.f64 2 (expm1.f64 (+.f64 x x)))

Outputs
((#(struct:change #<rule egg-rr> (2) ((x . 0)))))
((#(struct:change #<rule egg-rr> (2) ((x . 1/2)))))
((#(struct:change #<rule egg-rr> (2) ((x . 2)))))

simplify72.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

1408×	`fma-def`
1078×	`associate-/l*`
944×	`associate--r+`
810×	`*-commutative`
772×	`associate--l+`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	56	819
1	144	815
2	345	803
3	912	803
4	2616	797
5	5665	797

Stop Event

1×	node limit

Counts

39 → 55

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 (.f64 2 x)) 1) (+.f64 1 (exp.f64 (.f64 2 x))))
(/.f64 (-.f64 (exp.f64 (.f64 2 x)) 1) (+.f64 1 (exp.f64 (.f64 2 x))))
(/.f64 (-.f64 (exp.f64 (.f64 2 x)) 1) (+.f64 1 (exp.f64 (.f64 2 x))))
(/.f64 (-.f64 (exp.f64 (.f64 2 x)) 1) (+.f64 1 (exp.f64 (.f64 2 x))))
(/.f64 (-.f64 (exp.f64 (.f64 2 x)) 1) (+.f64 1 (exp.f64 (neg.f64 (.f64 -2 x)))))
(/.f64 (-.f64 (exp.f64 (.f64 2 x)) 1) (+.f64 1 (exp.f64 (neg.f64 (.f64 -2 x)))))
(/.f64 (-.f64 (exp.f64 (.f64 2 x)) 1) (+.f64 1 (exp.f64 (neg.f64 (.f64 -2 x)))))
(/.f64 (-.f64 (exp.f64 (.f64 2 x)) 1) (+.f64 1 (exp.f64 (neg.f64 (.f64 -2 x)))))
1/2
(+.f64 (*.f64 -1/2 x) 1/2)
(+.f64 (.f64 -1/2 x) (+.f64 (.f64 1/6 (pow.f64 x 3)) 1/2))
(+.f64 (.f64 -1/2 x) (+.f64 (.f64 1/6 (pow.f64 x 3)) (+.f64 1/2 (*.f64 -1/15 (pow.f64 x 5)))))
(/.f64 1 (+.f64 1 (exp.f64 (*.f64 2 x))))
(/.f64 1 (+.f64 1 (exp.f64 (*.f64 2 x))))
(/.f64 1 (+.f64 1 (exp.f64 (*.f64 2 x))))
(/.f64 1 (+.f64 1 (exp.f64 (*.f64 2 x))))
(/.f64 1 (+.f64 1 (exp.f64 (neg.f64 (*.f64 -2 x)))))
(/.f64 1 (+.f64 1 (exp.f64 (neg.f64 (*.f64 -2 x)))))
(/.f64 1 (+.f64 1 (exp.f64 (neg.f64 (*.f64 -2 x)))))
(/.f64 1 (+.f64 1 (exp.f64 (neg.f64 (*.f64 -2 x)))))
2
(+.f64 (*.f64 2 x) 2)
(+.f64 (.f64 2 (pow.f64 x 2)) (+.f64 (.f64 2 x) 2))
(+.f64 (.f64 4/3 (pow.f64 x 3)) (+.f64 (.f64 2 (pow.f64 x 2)) (+.f64 (*.f64 2 x) 2)))
(+.f64 1 (exp.f64 (*.f64 2 x)))
(+.f64 1 (exp.f64 (*.f64 2 x)))
(+.f64 1 (exp.f64 (*.f64 2 x)))
(+.f64 1 (exp.f64 (*.f64 2 x)))
(+.f64 1 (exp.f64 (neg.f64 (*.f64 -2 x))))
(+.f64 1 (exp.f64 (neg.f64 (*.f64 -2 x))))
(+.f64 1 (exp.f64 (neg.f64 (*.f64 -2 x))))
(+.f64 1 (exp.f64 (neg.f64 (*.f64 -2 x))))
0
1/2
2

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 (.f64 2 x)) 1) (+.f64 1 (exp.f64 (.f64 2 x))))
(/.f64 (expm1.f64 (.f64 x 2)) (+.f64 (exp.f64 (.f64 x 2)) 1))
(/.f64 (expm1.f64 (*.f64 x 2)) (+.f64 (pow.f64 (exp.f64 2) x) 1))
(/.f64 (expm1.f64 (*.f64 x 2)) (+.f64 (pow.f64 (exp.f64 x) 2) 1))
(/.f64 (expm1.f64 (+.f64 x x)) (+.f64 (pow.f64 (exp.f64 2) x) 1))
(/.f64 (-.f64 (exp.f64 (.f64 2 x)) 1) (+.f64 1 (exp.f64 (.f64 2 x))))
(/.f64 (expm1.f64 (.f64 x 2)) (+.f64 (exp.f64 (.f64 x 2)) 1))
(/.f64 (expm1.f64 (*.f64 x 2)) (+.f64 (pow.f64 (exp.f64 2) x) 1))
(/.f64 (expm1.f64 (*.f64 x 2)) (+.f64 (pow.f64 (exp.f64 x) 2) 1))
(/.f64 (expm1.f64 (+.f64 x x)) (+.f64 (pow.f64 (exp.f64 2) x) 1))
(/.f64 (-.f64 (exp.f64 (.f64 2 x)) 1) (+.f64 1 (exp.f64 (.f64 2 x))))
(/.f64 (expm1.f64 (.f64 x 2)) (+.f64 (exp.f64 (.f64 x 2)) 1))
(/.f64 (expm1.f64 (*.f64 x 2)) (+.f64 (pow.f64 (exp.f64 2) x) 1))
(/.f64 (expm1.f64 (*.f64 x 2)) (+.f64 (pow.f64 (exp.f64 x) 2) 1))
(/.f64 (expm1.f64 (+.f64 x x)) (+.f64 (pow.f64 (exp.f64 2) x) 1))
(/.f64 (-.f64 (exp.f64 (.f64 2 x)) 1) (+.f64 1 (exp.f64 (.f64 2 x))))
(/.f64 (expm1.f64 (.f64 x 2)) (+.f64 (exp.f64 (.f64 x 2)) 1))
(/.f64 (expm1.f64 (*.f64 x 2)) (+.f64 (pow.f64 (exp.f64 2) x) 1))
(/.f64 (expm1.f64 (*.f64 x 2)) (+.f64 (pow.f64 (exp.f64 x) 2) 1))
(/.f64 (expm1.f64 (+.f64 x x)) (+.f64 (pow.f64 (exp.f64 2) x) 1))
(/.f64 (-.f64 (exp.f64 (.f64 2 x)) 1) (+.f64 1 (exp.f64 (neg.f64 (.f64 -2 x)))))
(/.f64 (expm1.f64 (.f64 x 2)) (+.f64 (exp.f64 (.f64 x 2)) 1))
(/.f64 (expm1.f64 (*.f64 x 2)) (+.f64 (pow.f64 (exp.f64 2) x) 1))
(/.f64 (expm1.f64 (*.f64 x 2)) (+.f64 (pow.f64 (exp.f64 x) 2) 1))
(/.f64 (expm1.f64 (+.f64 x x)) (+.f64 (pow.f64 (exp.f64 2) x) 1))
(/.f64 (-.f64 (exp.f64 (.f64 2 x)) 1) (+.f64 1 (exp.f64 (neg.f64 (.f64 -2 x)))))
(/.f64 (expm1.f64 (.f64 x 2)) (+.f64 (exp.f64 (.f64 x 2)) 1))
(/.f64 (expm1.f64 (*.f64 x 2)) (+.f64 (pow.f64 (exp.f64 2) x) 1))
(/.f64 (expm1.f64 (*.f64 x 2)) (+.f64 (pow.f64 (exp.f64 x) 2) 1))
(/.f64 (expm1.f64 (+.f64 x x)) (+.f64 (pow.f64 (exp.f64 2) x) 1))
(/.f64 (-.f64 (exp.f64 (.f64 2 x)) 1) (+.f64 1 (exp.f64 (neg.f64 (.f64 -2 x)))))
(/.f64 (expm1.f64 (.f64 x 2)) (+.f64 (exp.f64 (.f64 x 2)) 1))
(/.f64 (expm1.f64 (*.f64 x 2)) (+.f64 (pow.f64 (exp.f64 2) x) 1))
(/.f64 (expm1.f64 (*.f64 x 2)) (+.f64 (pow.f64 (exp.f64 x) 2) 1))
(/.f64 (expm1.f64 (+.f64 x x)) (+.f64 (pow.f64 (exp.f64 2) x) 1))
(/.f64 (-.f64 (exp.f64 (.f64 2 x)) 1) (+.f64 1 (exp.f64 (neg.f64 (.f64 -2 x)))))
(/.f64 (expm1.f64 (.f64 x 2)) (+.f64 (exp.f64 (.f64 x 2)) 1))
(/.f64 (expm1.f64 (*.f64 x 2)) (+.f64 (pow.f64 (exp.f64 2) x) 1))
(/.f64 (expm1.f64 (*.f64 x 2)) (+.f64 (pow.f64 (exp.f64 x) 2) 1))
(/.f64 (expm1.f64 (+.f64 x x)) (+.f64 (pow.f64 (exp.f64 2) x) 1))
1/2
(+.f64 (*.f64 -1/2 x) 1/2)
(fma.f64 -1/2 x 1/2)
(fma.f64 x -1/2 1/2)
(+.f64 (.f64 -1/2 x) (+.f64 (.f64 1/6 (pow.f64 x 3)) 1/2))
(fma.f64 -1/2 x (fma.f64 1/6 (pow.f64 x 3) 1/2))
(fma.f64 x -1/2 (fma.f64 (pow.f64 x 3) 1/6 1/2))
(fma.f64 (pow.f64 x 3) 1/6 (fma.f64 x -1/2 1/2))
(fma.f64 x (fma.f64 x (*.f64 x 1/6) -1/2) 1/2)
(+.f64 (.f64 -1/2 x) (+.f64 (.f64 1/6 (pow.f64 x 3)) (+.f64 1/2 (*.f64 -1/15 (pow.f64 x 5)))))
(fma.f64 -1/2 x (fma.f64 1/6 (pow.f64 x 3) (+.f64 1/2 (*.f64 (pow.f64 x 5) -1/15))))
(fma.f64 x -1/2 (fma.f64 (pow.f64 x 3) 1/6 (fma.f64 (pow.f64 x 5) -1/15 1/2)))
(fma.f64 (pow.f64 x 3) 1/6 (fma.f64 (pow.f64 x 5) -1/15 (fma.f64 x -1/2 1/2)))
(fma.f64 x (fma.f64 x (*.f64 x 1/6) -1/2) (fma.f64 (pow.f64 x 5) -1/15 1/2))
(/.f64 1 (+.f64 1 (exp.f64 (*.f64 2 x))))
(/.f64 1 (+.f64 (exp.f64 (*.f64 x 2)) 1))
(/.f64 1 (+.f64 (pow.f64 (exp.f64 2) x) 1))
(/.f64 1 (+.f64 (pow.f64 (exp.f64 x) 2) 1))
(/.f64 1 (+.f64 1 (exp.f64 (*.f64 2 x))))
(/.f64 1 (+.f64 (exp.f64 (*.f64 x 2)) 1))
(/.f64 1 (+.f64 (pow.f64 (exp.f64 2) x) 1))
(/.f64 1 (+.f64 (pow.f64 (exp.f64 x) 2) 1))
(/.f64 1 (+.f64 1 (exp.f64 (*.f64 2 x))))
(/.f64 1 (+.f64 (exp.f64 (*.f64 x 2)) 1))
(/.f64 1 (+.f64 (pow.f64 (exp.f64 2) x) 1))
(/.f64 1 (+.f64 (pow.f64 (exp.f64 x) 2) 1))
(/.f64 1 (+.f64 1 (exp.f64 (*.f64 2 x))))
(/.f64 1 (+.f64 (exp.f64 (*.f64 x 2)) 1))
(/.f64 1 (+.f64 (pow.f64 (exp.f64 2) x) 1))
(/.f64 1 (+.f64 (pow.f64 (exp.f64 x) 2) 1))
(/.f64 1 (+.f64 1 (exp.f64 (neg.f64 (*.f64 -2 x)))))
(/.f64 1 (+.f64 (exp.f64 (*.f64 x 2)) 1))
(/.f64 1 (+.f64 (pow.f64 (exp.f64 2) x) 1))
(/.f64 1 (+.f64 (pow.f64 (exp.f64 x) 2) 1))
(/.f64 1 (+.f64 1 (exp.f64 (neg.f64 (*.f64 -2 x)))))
(/.f64 1 (+.f64 (exp.f64 (*.f64 x 2)) 1))
(/.f64 1 (+.f64 (pow.f64 (exp.f64 2) x) 1))
(/.f64 1 (+.f64 (pow.f64 (exp.f64 x) 2) 1))
(/.f64 1 (+.f64 1 (exp.f64 (neg.f64 (*.f64 -2 x)))))
(/.f64 1 (+.f64 (exp.f64 (*.f64 x 2)) 1))
(/.f64 1 (+.f64 (pow.f64 (exp.f64 2) x) 1))
(/.f64 1 (+.f64 (pow.f64 (exp.f64 x) 2) 1))
(/.f64 1 (+.f64 1 (exp.f64 (neg.f64 (*.f64 -2 x)))))
(/.f64 1 (+.f64 (exp.f64 (*.f64 x 2)) 1))
(/.f64 1 (+.f64 (pow.f64 (exp.f64 2) x) 1))
(/.f64 1 (+.f64 (pow.f64 (exp.f64 x) 2) 1))
2
(+.f64 (*.f64 2 x) 2)
(fma.f64 2 x 2)
(fma.f64 x 2 2)
(+.f64 (.f64 2 (pow.f64 x 2)) (+.f64 (.f64 2 x) 2))
(fma.f64 2 (*.f64 x x) (fma.f64 2 x 2))
(fma.f64 2 (*.f64 x x) (fma.f64 x 2 2))
(fma.f64 2 (fma.f64 x x x) 2)
(fma.f64 x (fma.f64 x 2 2) 2)
(+.f64 (.f64 4/3 (pow.f64 x 3)) (+.f64 (.f64 2 (pow.f64 x 2)) (+.f64 (*.f64 2 x) 2)))
(fma.f64 4/3 (pow.f64 x 3) (fma.f64 2 (*.f64 x x) (fma.f64 2 x 2)))
(fma.f64 (pow.f64 x 3) 4/3 (fma.f64 2 (*.f64 x x) (fma.f64 x 2 2)))
(fma.f64 (pow.f64 x 3) 4/3 (fma.f64 2 (fma.f64 x x x) 2))
(fma.f64 x 2 (fma.f64 (*.f64 x x) (fma.f64 x 4/3 2) 2))
(fma.f64 x (fma.f64 x (fma.f64 x 4/3 2) 2) 2)
(+.f64 1 (exp.f64 (*.f64 2 x)))
(+.f64 (exp.f64 (*.f64 x 2)) 1)
(+.f64 (pow.f64 (exp.f64 2) x) 1)
(+.f64 (pow.f64 (exp.f64 x) 2) 1)
(+.f64 1 (exp.f64 (*.f64 2 x)))
(+.f64 (exp.f64 (*.f64 x 2)) 1)
(+.f64 (pow.f64 (exp.f64 2) x) 1)
(+.f64 (pow.f64 (exp.f64 x) 2) 1)
(+.f64 1 (exp.f64 (*.f64 2 x)))
(+.f64 (exp.f64 (*.f64 x 2)) 1)
(+.f64 (pow.f64 (exp.f64 2) x) 1)
(+.f64 (pow.f64 (exp.f64 x) 2) 1)
(+.f64 1 (exp.f64 (*.f64 2 x)))
(+.f64 (exp.f64 (*.f64 x 2)) 1)
(+.f64 (pow.f64 (exp.f64 2) x) 1)
(+.f64 (pow.f64 (exp.f64 x) 2) 1)
(+.f64 1 (exp.f64 (neg.f64 (*.f64 -2 x))))
(+.f64 (exp.f64 (*.f64 x 2)) 1)
(+.f64 (pow.f64 (exp.f64 2) x) 1)
(+.f64 (pow.f64 (exp.f64 x) 2) 1)
(+.f64 1 (exp.f64 (neg.f64 (*.f64 -2 x))))
(+.f64 (exp.f64 (*.f64 x 2)) 1)
(+.f64 (pow.f64 (exp.f64 2) x) 1)
(+.f64 (pow.f64 (exp.f64 x) 2) 1)
(+.f64 1 (exp.f64 (neg.f64 (*.f64 -2 x))))
(+.f64 (exp.f64 (*.f64 x 2)) 1)
(+.f64 (pow.f64 (exp.f64 2) x) 1)
(+.f64 (pow.f64 (exp.f64 x) 2) 1)
(+.f64 1 (exp.f64 (neg.f64 (*.f64 -2 x))))
(+.f64 (exp.f64 (*.f64 x 2)) 1)
(+.f64 (pow.f64 (exp.f64 2) x) 1)
(+.f64 (pow.f64 (exp.f64 x) 2) 1)
0
1/2
2

eval16.0ms (0.3%)

Compiler: Compiled 756 to 592 computations (21.7% saved)

prune19.0ms (0.4%)

Pruning

5 alts after pruning (1 fresh and 4 done)

	Pruned	Kept	Total
New	55	0	55
Fresh	0	1	1
Picked	0	1	1
Done	0	3	3
Total	55	5	60

Error

Counts

60 → 5

Alt Table

Click to see full alt table

Status	Error	Program
✓	32.0b	(pow.f64 (sqrt.f64 (tanh.f64 x)) 2)
✓	1.7b	(+.f64 (*.f64 -1/3 (pow.f64 x 3)) x)
✓	0.3b	(.f64 (expm1.f64 (.f64 x 2)) (/.f64 1 (+.f64 2 (expm1.f64 (+.f64 x x)))))
✓	0.0b	(tanh.f64 x)
	1.9b	x

Compiler

Compiled 33 to 25 computations (24.2% saved)

regimes10.0ms (0.2%)

Accuracy

Total -61.7b remaining (-395125.4%)

Threshold costs -61.7b (-395125.4%)

Counts

9 → 1

Calls

Call 1

Inputs
x
(tanh.f64 x)
(+.f64 (*.f64 -1/3 (pow.f64 x 3)) x)
(.f64 (expm1.f64 (.f64 x 2)) (/.f64 1 (+.f64 2 (expm1.f64 (+.f64 x x)))))
(pow.f64 (sqrt.f64 (tanh.f64 x)) 2)
(.f64 (expm1.f64 (.f64 x 2)) (/.f64 1 (+.f64 1 (pow.f64 (exp.f64 2) x))))
(*.f64 (sqrt.f64 (tanh.f64 x)) (sqrt.f64 (tanh.f64 x)))
(cbrt.f64 (.f64 (.f64 (tanh.f64 x) (tanh.f64 x)) (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:

5.0ms	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 87 to 49 computations (43.7% saved)

simplify4.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4	6

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)

soundness78.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

860×	`associate--r+`
792×	`associate-/l*`
604×	`associate-/r*`
584×	`associate-*r/`
564×	`times-frac`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	144	1097
1	360	1045
2	1524	1023
3	5523	1023

Stop Event

1×	node limit

Compiler

Compiled 29 to 10 computations (65.5% saved)

end12.0ms (0.2%)

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

Details

analyze7.0ms (0.1%)

sample2.7s (55.5%)

preprocess54.0ms (1.1%)

simplify60.0ms (1.2%)

eval0.0ms (0%)

prune1.0ms (0%)

localize10.0ms (0.2%)

series4.0ms (0.1%)

rewrite122.0ms (2.5%)

simplify82.0ms (1.7%)

eval21.0ms (0.4%)

prune11.0ms (0.2%)

localize8.0ms (0.2%)

series7.0ms (0.1%)

rewrite64.0ms (1.3%)

simplify79.0ms (1.6%)

localize3.0ms (0.1%)

localize5.0ms (0.1%)

series1.0ms (0%)

rewrite53.0ms (1.1%)

simplify48.0ms (1%)

localize8.0ms (0.2%)

series4.0ms (0.1%)

rewrite58.0ms (1.2%)

simplify130.0ms (2.6%)

eval120.0ms (2.4%)

prune30.0ms (0.6%)

localize57.0ms (1.2%)

series5.0ms (0.1%)

rewrite107.0ms (2.2%)

simplify151.0ms (3.1%)

localize5.0ms (0.1%)

series3.0ms (0.1%)

rewrite90.0ms (1.8%)

simplify67.0ms (1.4%)

eval332.0ms (6.7%)

prune92.0ms (1.9%)

localize15.0ms (0.3%)

series3.0ms (0.1%)

rewrite63.0ms (1.3%)

simplify72.0ms (1.5%)

eval16.0ms (0.3%)

prune19.0ms (0.4%)

regimes10.0ms (0.2%)

simplify4.0ms (0.1%)

soundness78.0ms (1.6%)

end12.0ms (0.2%)

Profiling