Details

analyze7.0ms (0.2%)

Algorithm

1×

Search

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

Compiler

Compiled 15 to 8 computations (46.7% saved)

sample3.1s (83.6%)

Results

2.1s	4015×	body	1024	valid
484.0ms	2078×	body	512	valid
260.0ms	1730×	body	256	valid
183.0ms	433×	body	2048	valid
1.0ms	14×	body	256	unsamplable

Bogosity

preprocess54.0ms (1.5%)

Algorithm

2×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	saturated
1×	node limit

Calls

Call 1

Inputs
0

Outputs
0

Call 2

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

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

Compiler

Compiled 15 to 8 computations (46.7% saved)

simplify45.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

1 → 1

Calls

Call 1

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

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

eval0.0ms (0%)

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

prune1.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

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

Error

58.9b

Counts

2 → 1

Alt Table

Click to see full alt table

Status	Error	Program
▶	58.9b	(/.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)

localize12.0ms (0.3%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
✓	1.2b	(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
✓	4.6b	(-.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	@	0	(-.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	@	-inf	(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.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)))

rewrite62.0ms (1.7%)

Algorithm

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

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	18
1	186	18
2	3652	18
0	6	6
1	130	6
2	2188	6
0	6	6
0	8	3
1	186	3
2	3652	3
0	8	3
0	6	6
1	129	6
2	2150	6
0	6	6

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

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

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

simplify49.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

618×	`times-frac_binary64`
292×	`fma-def_binary64`
282×	`associate-*l/_binary64`
265×	`associate-*r/_binary64`
257×	`div-sub_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	142	623
1	358	597
2	1369	586
3	5740	526

Stop Event

1×	node limit

Counts

69 → 91

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 (.f64 (cbrt.f64 (.f64 2 (sinh.f64 x))) (cbrt.f64 (.f64 2 (sinh.f64 x)))) (cbrt.f64 (*.f64 2 (sinh.f64 x))))
(.f64 (sqrt.f64 (.f64 2 (sinh.f64 x))) (sqrt.f64 (*.f64 2 (sinh.f64 x))))
(*.f64 2 (sinh.f64 x))
(/.f64 (-.f64 (pow.f64 (exp.f64 x) 3) (pow.f64 (exp.f64 (neg.f64 x)) 3)) (+.f64 (.f64 (exp.f64 x) (exp.f64 x)) (+.f64 (.f64 (exp.f64 (neg.f64 x)) (exp.f64 (neg.f64 x))) (*.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))))
(/.f64 (-.f64 (.f64 (exp.f64 x) (exp.f64 x)) (.f64 (exp.f64 (neg.f64 x)) (exp.f64 (neg.f64 x)))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(pow.f64 (*.f64 2 (sinh.f64 x)) 1)
(log.f64 (exp.f64 (*.f64 2 (sinh.f64 x))))
(cbrt.f64 (.f64 (.f64 (.f64 2 (sinh.f64 x)) (.f64 2 (sinh.f64 x))) (*.f64 2 (sinh.f64 x))))
(expm1.f64 (log1p.f64 (*.f64 2 (sinh.f64 x))))
(log1p.f64 (expm1.f64 (*.f64 2 (sinh.f64 x))))
(exp.f64 (log.f64 (*.f64 2 (sinh.f64 x))))
(-.f64 (/.f64 (exp.f64 x) (.f64 2 (cosh.f64 x))) (/.f64 (exp.f64 (neg.f64 x)) (.f64 2 (cosh.f64 x))))
(.f64 (.f64 2 (sinh.f64 x)) (/.f64 1 (*.f64 2 (cosh.f64 x))))
(*.f64 1 (tanh.f64 x))
(.f64 (.f64 (cbrt.f64 (tanh.f64 x)) (cbrt.f64 (tanh.f64 x))) (cbrt.f64 (tanh.f64 x)))
(*.f64 (sqrt.f64 (tanh.f64 x)) (sqrt.f64 (tanh.f64 x)))
(pow.f64 (tanh.f64 x) 1)
(log.f64 (exp.f64 (tanh.f64 x)))
(cbrt.f64 (.f64 (.f64 (tanh.f64 x) (tanh.f64 x)) (tanh.f64 x)))
(expm1.f64 (log1p.f64 (tanh.f64 x)))
(log1p.f64 (expm1.f64 (tanh.f64 x)))
(exp.f64 (log.f64 (tanh.f64 x)))
(tanh.f64 x)
(.f64 1 (.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 (sqrt.f64 (.f64 2 (cosh.f64 x))) (sqrt.f64 (*.f64 2 (cosh.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 (.f64 (exp.f64 x) (exp.f64 x)) (.f64 (exp.f64 (neg.f64 x)) (exp.f64 (neg.f64 x)))) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(pow.f64 (*.f64 2 (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))))
(log1p.f64 (expm1.f64 (*.f64 2 (cosh.f64 x))))
(exp.f64 (log.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 1/60 (pow.f64 x 5) (fma.f64 1/3 (pow.f64 x 3) (+.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 2 (sinh.f64 x))
(-.f64 (exp.f64 x) (exp.f64 (*.f64 -1 x)))
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(*.f64 2 (sinh.f64 x))
(-.f64 (exp.f64 x) (exp.f64 (*.f64 -1 x)))
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(*.f64 2 (sinh.f64 x))
(-.f64 (exp.f64 x) (exp.f64 (*.f64 -1 x)))
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(*.f64 2 (sinh.f64 x))
x
(+.f64 (*.f64 -1/3 (pow.f64 x 3)) x)
(fma.f64 -1/3 (pow.f64 x 3) x)
(fma.f64 (pow.f64 x 3) -1/3 x)
(+.f64 (.f64 -1/3 (pow.f64 x 3)) (+.f64 (.f64 2/15 (pow.f64 x 5)) x))
(fma.f64 -1/3 (pow.f64 x 3) (fma.f64 2/15 (pow.f64 x 5) x))
(fma.f64 (pow.f64 x 3) -1/3 (fma.f64 (pow.f64 x 5) 2/15 x))
(fma.f64 (pow.f64 x 5) 2/15 (fma.f64 (pow.f64 x 3) -1/3 x))
(+.f64 (.f64 -17/315 (pow.f64 x 7)) (+.f64 (.f64 -1/3 (pow.f64 x 3)) (+.f64 (*.f64 2/15 (pow.f64 x 5)) x)))
(fma.f64 -17/315 (pow.f64 x 7) (fma.f64 -1/3 (pow.f64 x 3) (fma.f64 2/15 (pow.f64 x 5) x)))
(fma.f64 (pow.f64 x 7) -17/315 (fma.f64 (pow.f64 x 3) -1/3 (fma.f64 (pow.f64 x 5) 2/15 x)))
(fma.f64 (pow.f64 x 7) -17/315 (fma.f64 (pow.f64 x 5) 2/15 (fma.f64 (pow.f64 x 3) -1/3 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 2 (fma.f64 1/12 (pow.f64 x 4) (*.f64 x x)))
(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 1/12 (pow.f64 x 4) (*.f64 x x))))
(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 2 (sinh.f64 x))
(.f64 1 (.f64 2 (sinh.f64 x)))
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(*.f64 2 (sinh.f64 x))
(.f64 (.f64 (cbrt.f64 (.f64 2 (sinh.f64 x))) (cbrt.f64 (.f64 2 (sinh.f64 x)))) (cbrt.f64 (*.f64 2 (sinh.f64 x))))
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(*.f64 2 (sinh.f64 x))
(.f64 (sqrt.f64 (.f64 2 (sinh.f64 x))) (sqrt.f64 (*.f64 2 (sinh.f64 x))))
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(*.f64 2 (sinh.f64 x))
(*.f64 2 (sinh.f64 x))
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(/.f64 (-.f64 (pow.f64 (exp.f64 x) 3) (pow.f64 (exp.f64 (neg.f64 x)) 3)) (+.f64 (.f64 (exp.f64 x) (exp.f64 x)) (+.f64 (.f64 (exp.f64 (neg.f64 x)) (exp.f64 (neg.f64 x))) (*.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))))
(/.f64 (-.f64 (pow.f64 (exp.f64 x) 3) (pow.f64 (exp.f64 (neg.f64 x)) 3)) (+.f64 (exp.f64 (+.f64 x x)) (*.f64 (exp.f64 (neg.f64 x)) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))))
(/.f64 (-.f64 (pow.f64 (exp.f64 x) 3) (pow.f64 (exp.f64 (neg.f64 x)) 3)) (+.f64 1 (+.f64 (pow.f64 (exp.f64 x) 2) (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 x) -2))))
(/.f64 (-.f64 (pow.f64 (exp.f64 x) 3) (pow.f64 (exp.f64 x) -3)) (+.f64 1 (+.f64 (pow.f64 (exp.f64 x) 2) (pow.f64 (exp.f64 x) -2))))
(/.f64 (-.f64 (.f64 (exp.f64 x) (exp.f64 x)) (.f64 (exp.f64 (neg.f64 x)) (exp.f64 (neg.f64 x)))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/.f64 (-.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) 2) (pow.f64 (exp.f64 x) -2)) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(pow.f64 (*.f64 2 (sinh.f64 x)) 1)
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(*.f64 2 (sinh.f64 x))
(log.f64 (exp.f64 (*.f64 2 (sinh.f64 x))))
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(*.f64 2 (sinh.f64 x))
(cbrt.f64 (.f64 (.f64 (.f64 2 (sinh.f64 x)) (.f64 2 (sinh.f64 x))) (*.f64 2 (sinh.f64 x))))
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(*.f64 2 (sinh.f64 x))
(expm1.f64 (log1p.f64 (*.f64 2 (sinh.f64 x))))
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(*.f64 2 (sinh.f64 x))
(log1p.f64 (expm1.f64 (*.f64 2 (sinh.f64 x))))
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(*.f64 2 (sinh.f64 x))
(exp.f64 (log.f64 (*.f64 2 (sinh.f64 x))))
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(*.f64 2 (sinh.f64 x))
(-.f64 (/.f64 (exp.f64 x) (.f64 2 (cosh.f64 x))) (/.f64 (exp.f64 (neg.f64 x)) (.f64 2 (cosh.f64 x))))
(tanh.f64 x)
(.f64 (.f64 2 (sinh.f64 x)) (/.f64 1 (*.f64 2 (cosh.f64 x))))
(tanh.f64 x)
(*.f64 1 (tanh.f64 x))
(tanh.f64 x)
(.f64 (.f64 (cbrt.f64 (tanh.f64 x)) (cbrt.f64 (tanh.f64 x))) (cbrt.f64 (tanh.f64 x)))
(tanh.f64 x)
(*.f64 (sqrt.f64 (tanh.f64 x)) (sqrt.f64 (tanh.f64 x)))
(tanh.f64 x)
(pow.f64 (tanh.f64 x) 1)
(tanh.f64 x)
(log.f64 (exp.f64 (tanh.f64 x)))
(tanh.f64 x)
(cbrt.f64 (.f64 (.f64 (tanh.f64 x) (tanh.f64 x)) (tanh.f64 x)))
(tanh.f64 x)
(expm1.f64 (log1p.f64 (tanh.f64 x)))
(tanh.f64 x)
(log1p.f64 (expm1.f64 (tanh.f64 x)))
(tanh.f64 x)
(exp.f64 (log.f64 (tanh.f64 x)))
(tanh.f64 x)
(tanh.f64 x)
(.f64 1 (.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 (sqrt.f64 (.f64 2 (cosh.f64 x))) (sqrt.f64 (*.f64 2 (cosh.f64 x))))
(*.f64 2 (cosh.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 (pow.f64 (exp.f64 x) 3) (pow.f64 (exp.f64 x) -3)) (+.f64 (pow.f64 (exp.f64 x) 2) (expm1.f64 (*.f64 x -2))))
(/.f64 (-.f64 (.f64 (exp.f64 x) (exp.f64 x)) (.f64 (exp.f64 (neg.f64 x)) (exp.f64 (neg.f64 x)))) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(*.f64 2 (cosh.f64 x))
(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))
(log1p.f64 (expm1.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))

eval23.0ms (0.6%)

Compiler: Compiled 1495 to 660 computations (55.9% saved)

prune21.0ms (0.6%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	88	3	91
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	89	3	92

Error

Counts

92 → 3

Alt Table

Click to see full alt table

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

Compiler

Compiled 13 to 9 computations (30.8% saved)

localize2.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.0b	(tanh.f64 x)

Compiler

Compiled 4 to 2 computations (50% saved)

series3.0ms (0.1%)

Counts

1 → 12

Calls

3 calls:

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

rewrite39.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

465×	`pow1_binary64`
459×	`add-sqr-sqrt_binary64`
450×	`*-un-lft-identity_binary64`
437×	`add-log-exp_binary64`
435×	`log1p-expm1-u_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	3	3
1	75	3
2	1079	3

Stop Event

1×	node limit

Counts

1 → 31

Calls

Call 1

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

Outputs

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

simplify39.0ms (1%)

Algorithm

1×	egg-herbie

Rules

536×	`log-prod_binary64`
500×	`fma-neg_binary64`
421×	`associate-l_binary64`
410×	`associate-r_binary64`
264×	`log-div_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	100	163
1	261	163
2	921	163
3	5940	163

Stop Event

1×	node limit

Counts

43 → 41

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

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

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)

series7.0ms (0.2%)

Counts

2 → 3

Calls

6 calls:

Time	Variable		Point	Expression
4.0ms	x	@	inf	(+.f64 (*.f64 -1/3 (pow.f64 x 3)) x)
1.0ms	x	@	0	(*.f64 -1/3 (pow.f64 x 3))
1.0ms	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)

rewrite48.0ms (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

2 → 46

Calls

Call 1

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

Outputs

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

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

simplify43.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

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

Stop Event

1×	node limit

Counts

49 → 60

Calls

Call 1

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

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

eval28.0ms (0.8%)

Compiler: Compiled 1206 to 874 computations (27.5% saved)

prune11.0ms (0.3%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	101	0	101
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	101	3	104

Error

Counts

104 → 3

Alt Table

Click to see full alt table

Status	Error	Program
✓	1.9b	(+.f64 (*.f64 -1/3 (pow.f64 x 3)) x)
✓	0.0b	(tanh.f64 x)
	1.9b	x

Compiler

Compiled 13 to 9 computations (30.8% saved)

eval0.0ms (0%)

Compiler: Compiled 1 to 1 computations (0% saved)

prune1.0ms (0%)

Pruning

3 alts after pruning (1 fresh and 2 done)

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

Error

Counts

3 → 3

Alt Table

Click to see full alt table

Status	Error	Program
✓	1.9b	(+.f64 (*.f64 -1/3 (pow.f64 x 3)) x)
✓	0.0b	(tanh.f64 x)
	1.9b	x

Compiler

Compiled 13 to 9 computations (30.8% saved)

eval0.0ms (0%)

Compiler: Compiled 1 to 1 computations (0% saved)

prune1.0ms (0%)

Pruning

3 alts after pruning (1 fresh and 2 done)

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

Error

Counts

3 → 3

Alt Table

Click to see full alt table

Status	Error	Program
✓	1.9b	(+.f64 (*.f64 -1/3 (pow.f64 x 3)) x)
✓	0.0b	(tanh.f64 x)
	1.9b	x

Compiler

Compiled 13 to 9 computations (30.8% saved)

regimes7.0ms (0.2%)

Accuracy

Total -59.6b remaining (-1525661.6%)

Threshold costs -59.6b (-1525661.6%)

Counts

4 → 1

Calls

Call 1

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

4.0ms	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 40 to 21 computations (47.5% saved)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	3	4

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(tanh.f64 x)
x

Outputs
(tanh.f64 x)
x

Compiler

Compiled 5 to 3 computations (40% saved)

soundness75.0ms (2%)

Algorithm

1×	egg-herbie

Rules

618×	`times-frac_binary64`
292×	`fma-def_binary64`
282×	`associate-*l/_binary64`
265×	`associate-*r/_binary64`
257×	`div-sub_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	142	623
1	358	597
2	1369	586
3	5740	526

Stop Event

1×	node limit

Compiler

Compiled 31 to 16 computations (48.4% saved)

end13.0ms (0.4%)

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

Details

analyze7.0ms (0.2%)

sample3.1s (83.6%)

preprocess54.0ms (1.5%)

simplify45.0ms (1.2%)

eval0.0ms (0%)

prune1.0ms (0%)

localize12.0ms (0.3%)

series4.0ms (0.1%)

rewrite62.0ms (1.7%)

simplify49.0ms (1.3%)

eval23.0ms (0.6%)

prune21.0ms (0.6%)

localize2.0ms (0.1%)

series3.0ms (0.1%)

rewrite39.0ms (1%)

simplify39.0ms (1%)

localize8.0ms (0.2%)

series7.0ms (0.2%)

rewrite48.0ms (1.3%)

simplify43.0ms (1.2%)

eval28.0ms (0.8%)

prune11.0ms (0.3%)

eval0.0ms (0%)

prune1.0ms (0%)

eval0.0ms (0%)

prune1.0ms (0%)

regimes7.0ms (0.2%)

simplify3.0ms (0.1%)

soundness75.0ms (2%)

end13.0ms (0.4%)

Profiling