Details

analyze4.0ms (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%	25%	0%	0%	4
80%	50%	12.5%	0%	37.5%	0%	0%	5
88.9%	50%	6.2%	0%	43.7%	0%	0%	6
94.1%	50%	3.1%	0%	46.9%	0%	0%	7
97%	50%	1.6%	0%	48.4%	0%	0%	8
98.5%	50%	0.8%	0%	49.2%	0%	0%	9
99.2%	50.4%	0.4%	0%	49.2%	0%	0%	10
99.6%	50.4%	0.2%	0%	49.4%	0%	0%	11
99.8%	50.4%	0.1%	0%	49.5%	0%	0%	12

Compiler

Compiled 10 to 8 computations (20% saved)

sample3.1s (65.9%)

Results

1.9s	4150×	body	1024	valid
736.0ms	2052×	body	512	valid
276.0ms	1669×	body	256	valid
181.0ms	385×	body	2048	valid
1.0ms	12×	body	256	infinite

Bogosity

preprocess51.0ms (1.1%)

Algorithm

2×	egg-herbie

Rules

1318×	`associate-/l*`
988×	`distribute-lft-in`
978×	`distribute-rgt-in`
836×	`distribute-lft-neg-in`
810×	`associate-r`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	25
1	21	25
2	35	25
3	60	25
4	117	25
5	268	25
6	745	25
7	2173	25
8	4843	25
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))) 2)

Outputs
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 2)
(*.f64 -1/2 (-.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))
(*.f64 (-.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) -1/2)

Compiler

Compiled 10 to 8 computations (20% saved)

simplify55.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

1318×	`associate-/l*`
988×	`distribute-lft-in`
978×	`distribute-rgt-in`
836×	`distribute-lft-neg-in`
810×	`associate-r`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	25
1	21	25
2	35	25
3	60	25
4	117	25
5	268	25
6	745	25
7	2173	25
8	4843	25

Stop Event

1×	node limit

Counts

1 → 3

Calls

Call 1

Inputs
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 2)

Outputs
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 2)
(*.f64 -1/2 (-.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))
(*.f64 (-.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) -1/2)

eval1.0ms (0%)

Compiler: Compiled 25 to 12 computations (52% saved)

prune1.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	2	1	3
Fresh	0	1	1
Picked	0	0	0
Done	0	0	0
Total	2	2	4

Error

58.1b

Counts

4 → 1

Alt Table

Click to see full alt table

Status	Error	Program
▶	58.1b	(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 2)

Compiler

Compiled 9 to 7 computations (22.2% saved)

localize8.0ms (0.2%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	5.8b	(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))

Compiler

Compiled 24 to 8 computations (66.7% saved)

series1.0ms (0%)

Counts

1 → 8

Calls

3 calls:

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

rewrite70.0ms (1.5%)

Algorithm

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

Rules

180×	`add-sqr-sqrt`
172×	`pow1`
172×	`*-un-lft-identity`
170×	`add-exp-log`
168×	`add-log-exp`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	11
1	170	11
2	2644	11
0	8	11

Stop Event

1×	iter limit
1×	unsound

Counts

1 → 13

Calls

Call 1

Inputs
(-.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))))))))

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))))))))

simplify42.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

898×	`associate-*r/`
804×	`fma-def`
778×	`*-commutative`
712×	`associate-r`
658×	`associate-*l/`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	66	501
1	179	485
2	576	481
3	2145	353

Stop Event

1×	node limit

Counts

21 → 33

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)))
(+.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))))

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 x (fma.f64 x (.f64 x 1/3) 2))
(+.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 (fma.f64 1/60 (pow.f64 x 5) x) (fma.f64 1/3 (pow.f64 x 3) 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 x (fma.f64 x (.f64 x 1/3) 2) (fma.f64 1/60 (pow.f64 x 5) (.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))
(+.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 (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 (.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 2 (sinh.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))))
(-.f64 (exp.f64 x) (exp.f64 (neg.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 (pow.f64 (exp.f64 x) 3) (pow.f64 (exp.f64 (neg.f64 x)) 3)) (+.f64 (exp.f64 (+.f64 x x)) (*.f64 (exp.f64 (neg.f64 x)) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))))
(/.f64 (-.f64 (pow.f64 (exp.f64 x) 3) (pow.f64 (exp.f64 (neg.f64 x)) 3)) (+.f64 1 (+.f64 (exp.f64 (+.f64 x x)) (exp.f64 (*.f64 x -2)))))
(/.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) (exp.f64 (*.f64 x -3))) (+.f64 1 (+.f64 (pow.f64 (exp.f64 2) x) (pow.f64 (exp.f64 -2) 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))
(exp.f64 (log.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))

eval9.0ms (0.2%)

Compiler: Compiled 479 to 318 computations (33.6% saved)

prune8.0ms (0.2%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	29	4	33
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	30	4	34

Error

Counts

34 → 4

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.5b	(/.f64 (+.f64 (.f64 2 x) (.f64 1/3 (pow.f64 x 3))) 2)
▶	1.0b	(/.f64 (+.f64 x x) 2)
▶	0.5b	(/.f64 (.f64 x (fma.f64 x (.f64 x 1/3) 2)) 2)
▶	0.0b	(/.f64 (*.f64 2 (sinh.f64 x)) 2)

Compiler

Compiled 36 to 28 computations (22.2% saved)

localize6.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.0b	(sinh.f64 x)

Compiler

Compiled 15 to 9 computations (40% saved)

series2.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite51.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

1016×	`associate-r`
846×	`add-sqr-sqrt`
830×	`*-un-lft-identity`
788×	`pow1`
774×	`add-cube-cbrt`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4	5
1	83	5
2	1022	5

Stop Event

1×	node limit

Counts

1 → 31

Calls

Call 1

Inputs
(sinh.f64 x)

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

Outputs

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

simplify50.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

704×	`associate-+l-`
606×	`distribute-lft-neg-in`
590×	`associate-*r/`
544×	`associate-+r-`
528×	`unswap-sqr`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	96	785
1	226	617
2	980	589
3	5174	589

Stop Event

1×	node limit

Counts

43 → 52

Calls

Call 1

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

Outputs
x
(+.f64 (*.f64 1/6 (pow.f64 x 3)) x)
(fma.f64 1/6 (pow.f64 x 3) x)
(+.f64 (.f64 1/6 (pow.f64 x 3)) (+.f64 (.f64 1/120 (pow.f64 x 5)) x))
(fma.f64 1/6 (pow.f64 x 3) (fma.f64 1/120 (pow.f64 x 5) x))
(+.f64 (.f64 1/6 (pow.f64 x 3)) (+.f64 (.f64 1/5040 (pow.f64 x 7)) (+.f64 (*.f64 1/120 (pow.f64 x 5)) x)))
(fma.f64 1/6 (pow.f64 x 3) (fma.f64 1/5040 (pow.f64 x 7) (fma.f64 1/120 (pow.f64 x 5) x)))
(fma.f64 1/6 (pow.f64 x 3) (fma.f64 1/120 (pow.f64 x 5) (fma.f64 1/5040 (pow.f64 x 7) x)))
(*.f64 1/2 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))))
(*.f64 1/2 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(fma.f64 1/2 (exp.f64 x) (/.f64 -1/2 (exp.f64 x)))
(*.f64 1/2 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))))
(*.f64 1/2 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(fma.f64 1/2 (exp.f64 x) (/.f64 -1/2 (exp.f64 x)))
(*.f64 1/2 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))))
(*.f64 1/2 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(fma.f64 1/2 (exp.f64 x) (/.f64 -1/2 (exp.f64 x)))
(*.f64 1/2 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))))
(*.f64 1/2 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(fma.f64 1/2 (exp.f64 x) (/.f64 -1/2 (exp.f64 x)))
(*.f64 1/2 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))))
(*.f64 1/2 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(fma.f64 1/2 (exp.f64 x) (/.f64 -1/2 (exp.f64 x)))
(*.f64 1/2 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))))
(*.f64 1/2 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(fma.f64 1/2 (exp.f64 x) (/.f64 -1/2 (exp.f64 x)))
(*.f64 1/2 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))))
(*.f64 1/2 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(fma.f64 1/2 (exp.f64 x) (/.f64 -1/2 (exp.f64 x)))
(*.f64 1/2 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))))
(*.f64 1/2 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(fma.f64 1/2 (exp.f64 x) (/.f64 -1/2 (exp.f64 x)))
(-.f64 (+.f64 (sinh.f64 x) 1) 1)
(+.f64 (sinh.f64 x) 0)
(sinh.f64 x)
(-.f64 (/.f64 (exp.f64 x) 2) (/.f64 (exp.f64 (neg.f64 x)) 2))
(+.f64 (sinh.f64 x) 0)
(sinh.f64 x)
(*.f64 (sinh.f64 x) 1)
(+.f64 (sinh.f64 x) 0)
(sinh.f64 x)
(*.f64 1 (sinh.f64 x))
(+.f64 (sinh.f64 x) 0)
(sinh.f64 x)
(*.f64 (sqrt.f64 (sinh.f64 x)) (sqrt.f64 (sinh.f64 x)))
(+.f64 (sinh.f64 x) 0)
(sinh.f64 x)
(*.f64 (cbrt.f64 (sinh.f64 x)) (pow.f64 (cbrt.f64 (sinh.f64 x)) 2))
(+.f64 (sinh.f64 x) 0)
(sinh.f64 x)
(*.f64 (pow.f64 (cbrt.f64 (sinh.f64 x)) 2) (cbrt.f64 (sinh.f64 x)))
(+.f64 (sinh.f64 x) 0)
(sinh.f64 x)
(.f64 (.f64 (sinh.f64 x) 2) 1/2)
(+.f64 (sinh.f64 x) 0)
(sinh.f64 x)
(.f64 1/2 (.f64 (sinh.f64 x) 2))
(+.f64 (sinh.f64 x) 0)
(sinh.f64 x)
(.f64 (.f64 (sqrt.f64 (sinh.f64 x)) (sqrt.f64 (sqrt.f64 (sinh.f64 x)))) (sqrt.f64 (sqrt.f64 (sinh.f64 x))))
(+.f64 (sinh.f64 x) 0)
(sinh.f64 x)
(.f64 (.f64 (sqrt.f64 (sinh.f64 x)) (cbrt.f64 (sinh.f64 x))) (cbrt.f64 (sqrt.f64 (sinh.f64 x))))
(.f64 (sqrt.f64 (sinh.f64 x)) (.f64 (cbrt.f64 (sinh.f64 x)) (cbrt.f64 (sqrt.f64 (sinh.f64 x)))))
(.f64 (.f64 (cbrt.f64 (sqrt.f64 (sinh.f64 x))) (sqrt.f64 (sinh.f64 x))) (cbrt.f64 (sinh.f64 x)))
(.f64 (.f64 (sqrt.f64 (sinh.f64 x)) (sqrt.f64 (pow.f64 (cbrt.f64 (sinh.f64 x)) 2))) (sqrt.f64 (cbrt.f64 (sinh.f64 x))))
(.f64 (sqrt.f64 (sinh.f64 x)) (.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (sinh.f64 x)) 2)) (sqrt.f64 (cbrt.f64 (sinh.f64 x)))))
(.f64 (sqrt.f64 (sinh.f64 x)) (.f64 (fabs.f64 (cbrt.f64 (sinh.f64 x))) (sqrt.f64 (cbrt.f64 (sinh.f64 x)))))
(*.f64 (sqrt.f64 (sinh.f64 x)) (pow.f64 (sqrt.f64 (cbrt.f64 (sinh.f64 x))) 3))
(.f64 (.f64 (cbrt.f64 (sinh.f64 x)) (sqrt.f64 (pow.f64 (cbrt.f64 (sinh.f64 x)) 2))) (sqrt.f64 (pow.f64 (cbrt.f64 (sinh.f64 x)) 2)))
(+.f64 (sinh.f64 x) 0)
(sinh.f64 x)
(.f64 (.f64 (cbrt.f64 (sinh.f64 x)) (*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (sinh.f64 x)) 2)) (cbrt.f64 (pow.f64 (cbrt.f64 (sinh.f64 x)) 2)))) (cbrt.f64 (pow.f64 (cbrt.f64 (sinh.f64 x)) 2)))
(+.f64 (sinh.f64 x) 0)
(sinh.f64 x)
(.f64 (.f64 (pow.f64 (cbrt.f64 (sinh.f64 x)) 2) (sqrt.f64 (cbrt.f64 (sinh.f64 x)))) (sqrt.f64 (cbrt.f64 (sinh.f64 x))))
(+.f64 (sinh.f64 x) 0)
(sinh.f64 x)
(.f64 (.f64 (pow.f64 (cbrt.f64 (sinh.f64 x)) 2) (cbrt.f64 (pow.f64 (cbrt.f64 (sinh.f64 x)) 2))) (cbrt.f64 (cbrt.f64 (sinh.f64 x))))
(.f64 (pow.f64 (cbrt.f64 (sinh.f64 x)) 2) (.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (sinh.f64 x)) 2)) (cbrt.f64 (cbrt.f64 (sinh.f64 x)))))
(.f64 (.f64 (pow.f64 (cbrt.f64 (sinh.f64 x)) 2) (cbrt.f64 (sqrt.f64 (sinh.f64 x)))) (cbrt.f64 (sqrt.f64 (sinh.f64 x))))
(.f64 (pow.f64 (cbrt.f64 (sinh.f64 x)) 2) (.f64 (cbrt.f64 (sqrt.f64 (sinh.f64 x))) (cbrt.f64 (sqrt.f64 (sinh.f64 x)))))
(.f64 (cbrt.f64 (sqrt.f64 (sinh.f64 x))) (.f64 (pow.f64 (cbrt.f64 (sinh.f64 x)) 2) (cbrt.f64 (sqrt.f64 (sinh.f64 x)))))
(.f64 (.f64 (pow.f64 (cbrt.f64 (sinh.f64 x)) 2) (*.f64 (cbrt.f64 (cbrt.f64 (sinh.f64 x))) (cbrt.f64 (cbrt.f64 (sinh.f64 x))))) (cbrt.f64 (cbrt.f64 (sinh.f64 x))))
(+.f64 (sinh.f64 x) 0)
(sinh.f64 x)
(/.f64 1 (/.f64 2 (*.f64 (sinh.f64 x) 2)))
(+.f64 (sinh.f64 x) 0)
(sinh.f64 x)
(/.f64 (*.f64 (sinh.f64 x) 2) 2)
(+.f64 (sinh.f64 x) 0)
(sinh.f64 x)
(/.f64 (neg.f64 (*.f64 (sinh.f64 x) 2)) -2)
(+.f64 (sinh.f64 x) 0)
(sinh.f64 x)
(pow.f64 (sinh.f64 x) 1)
(+.f64 (sinh.f64 x) 0)
(sinh.f64 x)
(pow.f64 (sqrt.f64 (sinh.f64 x)) 2)
(+.f64 (sinh.f64 x) 0)
(sinh.f64 x)
(pow.f64 (cbrt.f64 (sinh.f64 x)) 3)
(+.f64 (sinh.f64 x) 0)
(sinh.f64 x)
(pow.f64 (pow.f64 (sinh.f64 x) 3) 1/3)
(+.f64 (sinh.f64 x) 0)
(sinh.f64 x)
(sqrt.f64 (pow.f64 (sinh.f64 x) 2))
(+.f64 (sinh.f64 x) 0)
(sinh.f64 x)
(log.f64 (exp.f64 (sinh.f64 x)))
(+.f64 (sinh.f64 x) 0)
(sinh.f64 x)
(cbrt.f64 (pow.f64 (sinh.f64 x) 3))
(+.f64 (sinh.f64 x) 0)
(sinh.f64 x)
(expm1.f64 (log1p.f64 (sinh.f64 x)))
(+.f64 (sinh.f64 x) 0)
(sinh.f64 x)
(exp.f64 (log.f64 (sinh.f64 x)))
(+.f64 (sinh.f64 x) 0)
(sinh.f64 x)
(log1p.f64 (expm1.f64 (sinh.f64 x)))
(+.f64 (sinh.f64 x) 0)
(sinh.f64 x)

localize32.0ms (0.7%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(.f64 x (fma.f64 x (.f64 x 1/3) 2))
✓	0.3b	(*.f64 x 1/3)

Compiler

Compiled 31 to 21 computations (32.3% saved)

series3.0ms (0.1%)

Counts

2 → 24

Calls

6 calls:

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

rewrite62.0ms (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1670×	`add-sqr-sqrt`
1650×	`*-un-lft-identity`
1534×	`add-cube-cbrt`
1514×	`add-cbrt-cube`
172×	`pow1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	28
1	181	28
2	2043	28

Stop Event

1×	node limit

Counts

2 → 28

Calls

Call 1

Inputs
(*.f64 x 1/3)
(.f64 x (fma.f64 x (.f64 x 1/3) 2))

Outputs

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

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

simplify58.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

1234×	`distribute-lft-out`
1074×	`fma-def`
688×	`*-commutative`
574×	`distribute-lft-neg-in`
568×	`associate-+r+`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	75	712
1	168	712
2	587	712
3	2514	712
4	5539	712

Stop Event

1×	node limit

Counts

52 → 37

Calls

Call 1

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

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

localize4.0ms (0.1%)

Compiler: Compiled 11 to 5 computations (54.5% saved)

localize45.0ms (1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.1b	(*.f64 1/3 (pow.f64 x 3))

Compiler

Compiled 36 to 28 computations (22.2% saved)

series1.0ms (0%)

Counts

1 → 0

Calls

3 calls:

Time	Variable		Point	Expression
0.0ms	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))

rewrite57.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

1234×	`add-sqr-sqrt`
1204×	`*-un-lft-identity`
1140×	`add-cube-cbrt`
1132×	`add-cbrt-cube`
1116×	`add-exp-log`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	13
1	149	13
2	1594	13

Stop Event

1×	node limit

Counts

1 → 11

Calls

Call 1

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

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 (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 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 log1p.f64 (expm1.f64 (*.f64 1/3 (pow.f64 x 3))))))))

simplify53.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

1084×	`distribute-rgt-in`
1068×	`distribute-lft-in`
956×	`associate-*l/`
896×	`associate-*r/`
890×	`log-prod`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	38	275
1	97	209
2	326	143
3	1692	143
4	6911	143

Stop Event

1×	node limit

Counts

11 → 14

Calls

Call 1

Inputs
(-.f64 (+.f64 1 (*.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)))
(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))))
(log1p.f64 (expm1.f64 (*.f64 1/3 (pow.f64 x 3))))

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

eval26.0ms (0.6%)

Compiler: Compiled 1335 to 931 computations (30.3% saved)

prune28.0ms (0.6%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	102	1	103
Fresh	0	0	0
Picked	1	0	1
Done	1	2	3
Total	104	3	107

Error

Counts

107 → 3

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.5b	(/.f64 (+.f64 (.f64 (.f64 x (.f64 x 1/3)) x) (.f64 2 x)) 2)
✓	1.0b	(/.f64 (+.f64 x x) 2)
✓	0.0b	(/.f64 (*.f64 2 (sinh.f64 x)) 2)

Compiler

Compiled 27 to 20 computations (25.9% saved)

localize18.0ms (0.4%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.1b	(.f64 (.f64 x (*.f64 x 1/3)) x)
✓	0.1b	(.f64 x (.f64 x 1/3))
	0.3b	(*.f64 x 1/3)

Compiler

Compiled 46 to 30 computations (34.8% saved)

series1.0ms (0%)

Counts

2 → 24

Calls

6 calls:

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

rewrite61.0ms (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1306×	`add-sqr-sqrt`
1290×	`*-un-lft-identity`
1198×	`add-cube-cbrt`
1178×	`add-cbrt-cube`
1164×	`add-exp-log`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	7	32
1	141	26
2	1645	26

Stop Event

1×	node limit

Counts

2 → 22

Calls

Call 1

Inputs
(.f64 x (.f64 x 1/3))
(.f64 (.f64 x (*.f64 x 1/3)) x)

Outputs

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

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

simplify44.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

1100×	`distribute-lft-in`
1096×	`distribute-rgt-in`
1092×	`associate-+r+`
1046×	`associate-+l+`
850×	`fma-def`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	57	598
1	146	598
2	605	598
3	1929	598

Stop Event

1×	node limit

Counts

46 → 25

Calls

Call 1

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

Outputs
(*.f64 1/3 (pow.f64 x 2))
(.f64 1/3 (.f64 x x))
(*.f64 1/3 (pow.f64 x 2))
(.f64 1/3 (.f64 x x))
(*.f64 1/3 (pow.f64 x 2))
(.f64 1/3 (.f64 x x))
(*.f64 1/3 (pow.f64 x 2))
(.f64 1/3 (.f64 x x))
(*.f64 1/3 (pow.f64 x 2))
(.f64 1/3 (.f64 x x))
(*.f64 1/3 (pow.f64 x 2))
(.f64 1/3 (.f64 x x))
(*.f64 1/3 (pow.f64 x 2))
(.f64 1/3 (.f64 x x))
(*.f64 1/3 (pow.f64 x 2))
(.f64 1/3 (.f64 x x))
(*.f64 1/3 (pow.f64 x 2))
(.f64 1/3 (.f64 x x))
(*.f64 1/3 (pow.f64 x 2))
(.f64 1/3 (.f64 x x))
(*.f64 1/3 (pow.f64 x 2))
(.f64 1/3 (.f64 x x))
(*.f64 1/3 (pow.f64 x 2))
(.f64 1/3 (.f64 x x))
(*.f64 1/3 (pow.f64 x 3))
(*.f64 1/3 (pow.f64 x 3))
(*.f64 1/3 (pow.f64 x 3))
(*.f64 1/3 (pow.f64 x 3))
(*.f64 1/3 (pow.f64 x 3))
(*.f64 1/3 (pow.f64 x 3))
(*.f64 1/3 (pow.f64 x 3))
(*.f64 1/3 (pow.f64 x 3))
(*.f64 1/3 (pow.f64 x 3))
(*.f64 1/3 (pow.f64 x 3))
(*.f64 1/3 (pow.f64 x 3))
(*.f64 1/3 (pow.f64 x 3))
(-.f64 (+.f64 1 (.f64 x (.f64 x 1/3))) 1)
(.f64 1/3 (.f64 x x))
(pow.f64 (.f64 x (.f64 x 1/3)) 1)
(.f64 1/3 (.f64 x x))
(pow.f64 (*.f64 x (sqrt.f64 1/3)) 2)
(.f64 1/3 (.f64 x x))
(pow.f64 (cbrt.f64 (.f64 x (.f64 x 1/3))) 3)
(.f64 1/3 (.f64 x x))
(pow.f64 (pow.f64 (.f64 x (.f64 x 1/3)) 3) 1/3)
(.f64 1/3 (.f64 x x))
(sqrt.f64 (pow.f64 (.f64 x (.f64 x 1/3)) 2))
(.f64 1/3 (.f64 x x))
(log.f64 (pow.f64 (exp.f64 x) (*.f64 x 1/3)))
(.f64 1/3 (.f64 x x))
(cbrt.f64 (pow.f64 (.f64 x (.f64 x 1/3)) 3))
(.f64 1/3 (.f64 x x))
(expm1.f64 (log1p.f64 (.f64 x (.f64 x 1/3))))
(.f64 1/3 (.f64 x x))
(exp.f64 (log.f64 (.f64 x (.f64 x 1/3))))
(.f64 1/3 (.f64 x x))
(log1p.f64 (expm1.f64 (.f64 x (.f64 x 1/3))))
(.f64 1/3 (.f64 x x))
(-.f64 (+.f64 1 (*.f64 (pow.f64 x 3) 1/3)) 1)
(*.f64 1/3 (pow.f64 x 3))
(pow.f64 (*.f64 (pow.f64 x 3) 1/3) 1)
(*.f64 1/3 (pow.f64 x 3))
(pow.f64 (sqrt.f64 (*.f64 (pow.f64 x 3) 1/3)) 2)
(*.f64 1/3 (pow.f64 x 3))
(pow.f64 (cbrt.f64 (*.f64 (pow.f64 x 3) 1/3)) 3)
(*.f64 1/3 (pow.f64 x 3))
(pow.f64 (pow.f64 (*.f64 (pow.f64 x 3) 1/3) 3) 1/3)
(*.f64 1/3 (pow.f64 x 3))
(sqrt.f64 (pow.f64 (*.f64 (pow.f64 x 3) 1/3) 2))
(*.f64 1/3 (pow.f64 x 3))
(log.f64 (exp.f64 (*.f64 (pow.f64 x 3) 1/3)))
(*.f64 1/3 (pow.f64 x 3))
(cbrt.f64 (pow.f64 (*.f64 (pow.f64 x 3) 1/3) 3))
(*.f64 1/3 (pow.f64 x 3))
(expm1.f64 (log1p.f64 (*.f64 (pow.f64 x 3) 1/3)))
(*.f64 1/3 (pow.f64 x 3))
(exp.f64 (log.f64 (*.f64 (pow.f64 x 3) 1/3)))
(*.f64 1/3 (pow.f64 x 3))
(log1p.f64 (expm1.f64 (*.f64 (pow.f64 x 3) 1/3)))
(*.f64 1/3 (pow.f64 x 3))

eval12.0ms (0.3%)

Compiler: Compiled 580 to 448 computations (22.8% saved)

prune6.0ms (0.1%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	38	1	39
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	38	4	42

Error

Counts

42 → 4

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.5b	(/.f64 (+.f64 (.f64 (-.f64 (+.f64 1 (.f64 x (.f64 x 1/3))) 1) x) (.f64 2 x)) 2)
✓	0.5b	(/.f64 (+.f64 (.f64 (.f64 x (.f64 x 1/3)) x) (.f64 2 x)) 2)
✓	1.0b	(/.f64 (+.f64 x x) 2)
✓	0.0b	(/.f64 (*.f64 2 (sinh.f64 x)) 2)

Compiler

Compiled 45 to 34 computations (24.4% saved)

localize28.0ms (0.6%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(.f64 (-.f64 (+.f64 1 (.f64 x (*.f64 x 1/3))) 1) x)
	0.1b	(.f64 x (.f64 x 1/3))
	0.3b	(*.f64 x 1/3)
✓	2.9b	(-.f64 (+.f64 1 (.f64 x (.f64 x 1/3))) 1)

Compiler

Compiled 75 to 55 computations (26.7% saved)

series1.0ms (0%)

Counts

2 → 24

Calls

6 calls:

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

rewrite90.0ms (1.9%)

Algorithm

1×	batch-egg-rewrite

Rules

1088×	`associate-*r/`
880×	`*-commutative`
874×	`associate-*l/`
774×	`distribute-lft-in`
726×	`distribute-rgt-in`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	56
1	217	32
2	2922	32

Stop Event

1×	node limit

Counts

2 → 156

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (fma.f64 x (*.f64 x 1/3) -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (*.f64 x 1/3)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 x (*.f64 x 1/3) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 x (*.f64 x 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 x (*.f64 x 1/3) -1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (fma.f64 x (*.f64 x 1/3) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 x (*.f64 x 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (*.f64 x 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/3 (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x 1/3) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (*.f64 x 1/3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 x 1/3)) (*.f64 x (sqrt.f64 (*.f64 x 1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x 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simplify102.0ms (2.2%)

Algorithm

1×	egg-herbie

Rules

1254×	`associate-/r/`
1028×	`associate-/l/`
884×	`associate-+r+`
782×	`associate-+l+`
550×	`+-commutative`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	367	7882
1	1031	7720
2	4416	7694

Stop Event

1×	node limit

Counts

180 → 241

Calls

Call 1

Inputs
(*.f64 1/3 (pow.f64 x 2))
(*.f64 1/3 (pow.f64 x 2))
(*.f64 1/3 (pow.f64 x 2))
(*.f64 1/3 (pow.f64 x 2))
(*.f64 1/3 (pow.f64 x 2))
(*.f64 1/3 (pow.f64 x 2))
(*.f64 1/3 (pow.f64 x 2))
(*.f64 1/3 (pow.f64 x 2))
(*.f64 1/3 (pow.f64 x 2))
(*.f64 1/3 (pow.f64 x 2))
(*.f64 1/3 (pow.f64 x 2))
(*.f64 1/3 (pow.f64 x 2))
(*.f64 1/3 (pow.f64 x 3))
(*.f64 1/3 (pow.f64 x 3))
(*.f64 1/3 (pow.f64 x 3))
(*.f64 1/3 (pow.f64 x 3))
(*.f64 1/3 (pow.f64 x 3))
(*.f64 1/3 (pow.f64 x 3))
(*.f64 1/3 (pow.f64 x 3))
(*.f64 1/3 (pow.f64 x 3))
(*.f64 1/3 (pow.f64 x 3))
(*.f64 1/3 (pow.f64 x 3))
(*.f64 1/3 (pow.f64 x 3))
(*.f64 1/3 (pow.f64 x 3))
(+.f64 1 (fma.f64 x (*.f64 x 1/3) -1))
(+.f64 (.f64 x (.f64 x 1/3)) 0)
(+.f64 (fma.f64 x (*.f64 x 1/3) 1) -1)
(+.f64 0 (.f64 x (.f64 x 1/3)))
(+.f64 (fma.f64 x (*.f64 x 1/3) -1) 1)
(+.f64 -1 (fma.f64 x (*.f64 x 1/3) 1))
(.f64 1 (.f64 x (*.f64 x 1/3)))
(.f64 x (.f64 x 1/3))
(.f64 1/3 (.f64 x x))
(.f64 (.f64 x 1/3) x)
(.f64 (.f64 x (*.f64 x 1/3)) 1)
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(/.f64 (+.f64 -1 (pow.f64 (fma.f64 x (.f64 x 1/3) 1) 3)) (/.f64 (+.f64 (+.f64 (pow.f64 (fma.f64 x (.f64 x 1/3) 1) 2) (.f64 x (.f64 x 1/3))) 2) x))
(/.f64 (.f64 x (+.f64 (pow.f64 (fma.f64 x (.f64 x 1/3) 1) 2) -1)) (+.f64 (.f64 x (.f64 x 1/3)) 2))
(/.f64 (.f64 x (+.f64 -1 (pow.f64 (fma.f64 x (.f64 x 1/3) 1) 3))) (+.f64 (+.f64 (pow.f64 (fma.f64 x (.f64 x 1/3) 1) 2) (.f64 x (*.f64 x 1/3))) 2))
(/.f64 (.f64 x (+.f64 -1 (pow.f64 (fma.f64 x (.f64 x 1/3) 1) 3))) (-.f64 (+.f64 1 (pow.f64 (fma.f64 x (.f64 x 1/3) 1) 2)) (.f64 (fma.f64 x (*.f64 x 1/3) 1) -1)))
(/.f64 (.f64 1 (.f64 x (+.f64 (pow.f64 (fma.f64 x (.f64 x 1/3) 1) 2) -1))) (+.f64 (.f64 x (*.f64 x 1/3)) 2))
(/.f64 (.f64 1 (.f64 x (+.f64 -1 (pow.f64 (fma.f64 x (.f64 x 1/3) 1) 3)))) (+.f64 (+.f64 (pow.f64 (fma.f64 x (.f64 x 1/3) 1) 2) (.f64 x (.f64 x 1/3))) 2))
(/.f64 (.f64 x (-.f64 1 (.f64 (fma.f64 x (.f64 x 1/3) -1) (fma.f64 x (.f64 x 1/3) -1)))) (-.f64 1 (fma.f64 x (*.f64 x 1/3) -1)))
(/.f64 (.f64 x (+.f64 1 (pow.f64 (fma.f64 x (.f64 x 1/3) -1) 3))) (+.f64 1 (-.f64 (.f64 (fma.f64 x (.f64 x 1/3) -1) (fma.f64 x (.f64 x 1/3) -1)) (fma.f64 x (.f64 x 1/3) -1))))
(/.f64 (.f64 x (neg.f64 (+.f64 (pow.f64 (fma.f64 x (.f64 x 1/3) 1) 2) -1))) (neg.f64 (+.f64 (.f64 x (.f64 x 1/3)) 2)))
(/.f64 (.f64 x (neg.f64 (+.f64 -1 (pow.f64 (fma.f64 x (.f64 x 1/3) 1) 3)))) (neg.f64 (+.f64 (+.f64 (pow.f64 (fma.f64 x (.f64 x 1/3) 1) 2) (.f64 x (*.f64 x 1/3))) 2)))
(/.f64 (.f64 (.f64 x (.f64 x (sqrt.f64 1/3))) (sqrt.f64 (+.f64 (pow.f64 (fma.f64 x (.f64 x 1/3) 1) 2) -1))) (sqrt.f64 (+.f64 (.f64 x (.f64 x 1/3)) 2)))
(/.f64 (.f64 (.f64 x (.f64 x (sqrt.f64 1/3))) (sqrt.f64 (+.f64 -1 (pow.f64 (fma.f64 x (.f64 x 1/3) 1) 3)))) (sqrt.f64 (+.f64 (+.f64 (pow.f64 (fma.f64 x (.f64 x 1/3) 1) 2) (.f64 x (*.f64 x 1/3))) 2)))
(/.f64 (.f64 (.f64 x (pow.f64 (cbrt.f64 (.f64 x (.f64 x 1/3))) 2)) (cbrt.f64 (+.f64 (pow.f64 (fma.f64 x (.f64 x 1/3) 1) 2) -1))) (cbrt.f64 (+.f64 (.f64 x (*.f64 x 1/3)) 2)))
(/.f64 (.f64 (.f64 x (pow.f64 (cbrt.f64 (.f64 x (.f64 x 1/3))) 2)) (cbrt.f64 (+.f64 -1 (pow.f64 (fma.f64 x (.f64 x 1/3) 1) 3)))) (cbrt.f64 (+.f64 (+.f64 (pow.f64 (fma.f64 x (.f64 x 1/3) 1) 2) (.f64 x (.f64 x 1/3))) 2)))
(/.f64 (.f64 (-.f64 1 (.f64 (fma.f64 x (.f64 x 1/3) -1) (fma.f64 x (.f64 x 1/3) -1))) x) (-.f64 1 (fma.f64 x (*.f64 x 1/3) -1)))
(/.f64 (.f64 (+.f64 1 (pow.f64 (fma.f64 x (.f64 x 1/3) -1) 3)) x) (+.f64 1 (-.f64 (.f64 (fma.f64 x (.f64 x 1/3) -1) (fma.f64 x (.f64 x 1/3) -1)) (fma.f64 x (.f64 x 1/3) -1))))
(/.f64 (.f64 (neg.f64 (+.f64 (pow.f64 (fma.f64 x (.f64 x 1/3) 1) 2) -1)) x) (neg.f64 (+.f64 (.f64 x (.f64 x 1/3)) 2)))
(/.f64 (.f64 (neg.f64 (+.f64 -1 (pow.f64 (fma.f64 x (.f64 x 1/3) 1) 3))) x) (neg.f64 (+.f64 (+.f64 (pow.f64 (fma.f64 x (.f64 x 1/3) 1) 2) (.f64 x (*.f64 x 1/3))) 2)))
(/.f64 (.f64 (.f64 x (+.f64 (pow.f64 (fma.f64 x (.f64 x 1/3) 1) 2) -1)) 1) (+.f64 (.f64 x (*.f64 x 1/3)) 2))
(/.f64 (.f64 (.f64 x (+.f64 -1 (pow.f64 (fma.f64 x (.f64 x 1/3) 1) 3))) 1) (+.f64 (+.f64 (pow.f64 (fma.f64 x (.f64 x 1/3) 1) 2) (.f64 x (.f64 x 1/3))) 2))
(/.f64 (.f64 (sqrt.f64 (+.f64 (pow.f64 (fma.f64 x (.f64 x 1/3) 1) 2) -1)) (.f64 x (.f64 x (sqrt.f64 1/3)))) (sqrt.f64 (+.f64 (.f64 x (.f64 x 1/3)) 2)))
(/.f64 (.f64 (sqrt.f64 (+.f64 -1 (pow.f64 (fma.f64 x (.f64 x 1/3) 1) 3))) (.f64 x (.f64 x (sqrt.f64 1/3)))) (sqrt.f64 (+.f64 (+.f64 (pow.f64 (fma.f64 x (.f64 x 1/3) 1) 2) (.f64 x (*.f64 x 1/3))) 2)))
(/.f64 (/.f64 (.f64 x (+.f64 (pow.f64 (fma.f64 x (.f64 x 1/3) 1) 2) -1)) 1) (+.f64 (.f64 x (.f64 x 1/3)) 2))
(/.f64 (/.f64 (.f64 x (+.f64 (pow.f64 (fma.f64 x (.f64 x 1/3) 1) 2) -1)) (sqrt.f64 (+.f64 (.f64 x (.f64 x 1/3)) 2))) (sqrt.f64 (+.f64 (.f64 x (.f64 x 1/3)) 2)))
(/.f64 (/.f64 (.f64 x (+.f64 (pow.f64 (fma.f64 x (.f64 x 1/3) 1) 2) -1)) (.f64 (cbrt.f64 (+.f64 (.f64 x (.f64 x 1/3)) 2)) (cbrt.f64 (+.f64 (.f64 x (.f64 x 1/3)) 2)))) (cbrt.f64 (+.f64 (.f64 x (*.f64 x 1/3)) 2)))
(/.f64 (/.f64 (.f64 x (+.f64 -1 (pow.f64 (fma.f64 x (.f64 x 1/3) 1) 3))) 1) (+.f64 (+.f64 (pow.f64 (fma.f64 x (.f64 x 1/3) 1) 2) (.f64 x (*.f64 x 1/3))) 2))
(/.f64 (/.f64 (.f64 x (+.f64 -1 (pow.f64 (fma.f64 x (.f64 x 1/3) 1) 3))) (sqrt.f64 (+.f64 (+.f64 (pow.f64 (fma.f64 x (.f64 x 1/3) 1) 2) (.f64 x (.f64 x 1/3))) 2))) (sqrt.f64 (+.f64 (+.f64 (pow.f64 (fma.f64 x (.f64 x 1/3) 1) 2) (.f64 x (.f64 x 1/3))) 2)))
(/.f64 (/.f64 (.f64 x (+.f64 -1 (pow.f64 (fma.f64 x (.f64 x 1/3) 1) 3))) (.f64 (cbrt.f64 (+.f64 (+.f64 (pow.f64 (fma.f64 x (.f64 x 1/3) 1) 2) (.f64 x (.f64 x 1/3))) 2)) (cbrt.f64 (+.f64 (+.f64 (pow.f64 (fma.f64 x (.f64 x 1/3) 1) 2) (.f64 x (.f64 x 1/3))) 2)))) (cbrt.f64 (+.f64 (+.f64 (pow.f64 (fma.f64 x (.f64 x 1/3) 1) 2) (.f64 x (.f64 x 1/3))) 2)))
(pow.f64 (.f64 x (.f64 x (*.f64 x 1/3))) 1)
(pow.f64 (.f64 (.f64 x (sqrt.f64 1/3)) (sqrt.f64 x)) 2)
(pow.f64 (cbrt.f64 (.f64 x (.f64 x (*.f64 x 1/3)))) 3)
(pow.f64 (pow.f64 (.f64 x (.f64 x (*.f64 x 1/3))) 3) 1/3)
(sqrt.f64 (pow.f64 (.f64 x (.f64 x (*.f64 x 1/3))) 2))
(log.f64 (pow.f64 (exp.f64 x) (.f64 x (.f64 x 1/3))))
(log.f64 (+.f64 1 (expm1.f64 (.f64 x (.f64 x (*.f64 x 1/3))))))
(cbrt.f64 (pow.f64 (.f64 x (.f64 x (*.f64 x 1/3))) 3))
(cbrt.f64 (.f64 (pow.f64 x 3) (.f64 1/27 (pow.f64 (*.f64 x x) 3))))
(expm1.f64 (log1p.f64 (.f64 x (.f64 x (*.f64 x 1/3)))))
(exp.f64 (log.f64 (.f64 x (.f64 x (*.f64 x 1/3)))))
(log1p.f64 (expm1.f64 (.f64 x (.f64 x (*.f64 x 1/3)))))

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

eval331.0ms (7%)

Compiler: Compiled 8492 to 6372 computations (25% saved)

prune54.0ms (1.2%)

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	268	0	268
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	268	4	272

Error

Counts

272 → 4

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.5b	(/.f64 (+.f64 (.f64 (-.f64 (+.f64 1 (.f64 x (.f64 x 1/3))) 1) x) (.f64 2 x)) 2)
✓	0.5b	(/.f64 (+.f64 (.f64 (.f64 x (.f64 x 1/3)) x) (.f64 2 x)) 2)
✓	1.0b	(/.f64 (+.f64 x x) 2)
✓	0.0b	(/.f64 (*.f64 2 (sinh.f64 x)) 2)

Compiler

Compiled 45 to 34 computations (24.4% saved)

regimes24.0ms (0.5%)

Counts

7 → 1

Calls

Call 1

Inputs
(/.f64 (+.f64 x x) 2)
(/.f64 (+.f64 (.f64 (.f64 x (.f64 x 1/3)) x) (.f64 2 x)) 2)
(/.f64 (+.f64 (.f64 (-.f64 (+.f64 1 (.f64 x (.f64 x 1/3))) 1) x) (.f64 2 x)) 2)
(/.f64 (*.f64 2 (sinh.f64 x)) 2)
(/.f64 (.f64 x (fma.f64 x (.f64 x 1/3) 2)) 2)
(/.f64 (+.f64 (.f64 2 x) (.f64 1/3 (pow.f64 x 3))) 2)
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 2)

Outputs
(/.f64 (*.f64 2 (sinh.f64 x)) 2)

Calls

3 calls:

17.0ms	x
2.0ms	(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
2.0ms	(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 2)

Results

Error	Segments	Branch
0.0b	1	`x`
0.0b	1	`(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 2)`
0.0b	1	`(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))`

Compiler

Compiled 89 to 66 computations (25.8% saved)

regimes4.0ms (0.1%)

Accuracy

Total -0.5b remaining (-115.1%)

Threshold costs -0.5b (-115.1%)

Counts

3 → 1

Calls

Call 1

Inputs
(/.f64 (+.f64 x x) 2)
(/.f64 (+.f64 (.f64 (.f64 x (.f64 x 1/3)) x) (.f64 2 x)) 2)
(/.f64 (+.f64 (.f64 (-.f64 (+.f64 1 (.f64 x (.f64 x 1/3))) 1) x) (.f64 2 x)) 2)

Outputs
(/.f64 (+.f64 (.f64 (.f64 x (.f64 x 1/3)) x) (.f64 2 x)) 2)

Calls

1 calls:

3.0ms

Results

Error	Segments	Branch
0.5b	1	`x`

Compiler

Compiled 38 to 27 computations (28.9% saved)

simplify5.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

10×	`*-commutative`
2×	`+-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	67
1	23	67

Stop Event

1×	done
1×	saturated

Calls

Call 1

Inputs
(/.f64 (*.f64 2 (sinh.f64 x)) 2)
(/.f64 (+.f64 (.f64 (.f64 x (.f64 x 1/3)) x) (.f64 2 x)) 2)
(/.f64 (+.f64 x x) 2)

Outputs
(/.f64 (*.f64 2 (sinh.f64 x)) 2)
(/.f64 (+.f64 (.f64 (.f64 x (.f64 x 1/3)) x) (.f64 2 x)) 2)
(/.f64 (+.f64 (.f64 x (.f64 x (.f64 x 1/3))) (.f64 2 x)) 2)
(/.f64 (+.f64 x x) 2)

Compiler

Compiled 27 to 20 computations (25.9% saved)

soundness73.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

898×	`associate-*r/`
804×	`fma-def`
778×	`*-commutative`
712×	`associate-r`
658×	`associate-*l/`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	66	501
1	179	485
2	576	481
3	2145	353

Stop Event

1×	node limit

Compiler

Compiled 104 to 58 computations (44.2% saved)

end22.0ms (0.5%)

Compiler: Compiled 25 to 18 computations (28% saved)

Details

analyze4.0ms (0.1%)

sample3.1s (65.9%)

preprocess51.0ms (1.1%)

simplify55.0ms (1.2%)

eval1.0ms (0%)

prune1.0ms (0%)

localize8.0ms (0.2%)

series1.0ms (0%)

rewrite70.0ms (1.5%)

simplify42.0ms (0.9%)

eval9.0ms (0.2%)

prune8.0ms (0.2%)

localize6.0ms (0.1%)

series2.0ms (0%)

rewrite51.0ms (1.1%)

simplify50.0ms (1.1%)

localize32.0ms (0.7%)

series3.0ms (0.1%)

rewrite62.0ms (1.3%)

simplify58.0ms (1.2%)

localize4.0ms (0.1%)

localize45.0ms (1%)

series1.0ms (0%)

rewrite57.0ms (1.2%)

simplify53.0ms (1.1%)

eval26.0ms (0.6%)

prune28.0ms (0.6%)

localize18.0ms (0.4%)

series1.0ms (0%)

rewrite61.0ms (1.3%)

simplify44.0ms (0.9%)

eval12.0ms (0.3%)

prune6.0ms (0.1%)

localize28.0ms (0.6%)

series1.0ms (0%)

rewrite90.0ms (1.9%)

simplify102.0ms (2.2%)

eval331.0ms (7%)

prune54.0ms (1.2%)

regimes24.0ms (0.5%)

regimes4.0ms (0.1%)

simplify5.0ms (0.1%)

soundness73.0ms (1.5%)

end22.0ms (0.5%)

Profiling