Details

analyze6.0ms (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)

sample2.9s (52.8%)

Results

1.9s	4193×	body	1024	valid
513.0ms	1966×	body	512	valid
248.0ms	1668×	body	256	valid
191.0ms	429×	body	2048	valid
1.0ms	10×	body	256	infinite

Bogosity

preprocess48.0ms (0.9%)

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%)

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

58.2b

Counts

4 → 1

Alt Table

Click to see full alt table

Status	Error	Program
▶	58.2b	(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 2)

Compiler

Compiled 9 to 7 computations (22.2% saved)

localize8.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	8.3b	(-.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)))

rewrite36.0ms (0.7%)

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))))))))

simplify53.0ms (1%)

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))

eval10.0ms (0.2%)

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

prune5.0ms (0.1%)

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
▶	1.1b	(/.f64 (+.f64 x x) 2)
▶	0.8b	(/.f64 (.f64 x (fma.f64 x (.f64 x 1/3) 2)) 2)
▶	0.0b	(/.f64 (*.f64 2 (sinh.f64 x)) 2)
▶	0.3b	(/.f64 (log1p.f64 (expm1.f64 (*.f64 2 (sinh.f64 x)))) 2)

Compiler

Compiled 33 to 26 computations (21.2% saved)

localize13.0ms (0.2%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(sinh.f64 x)
✓	0.0b	(expm1.f64 (*.f64 2 (sinh.f64 x)))
✓	0.0b	(log1p.f64 (expm1.f64 (*.f64 2 (sinh.f64 x))))

Compiler

Compiled 28 to 18 computations (35.7% saved)

series3.0ms (0.1%)

Counts

3 → 36

Calls

9 calls:

Time	Variable		Point	Expression
1.0ms	x	@	-inf	(log1p.f64 (expm1.f64 (*.f64 2 (sinh.f64 x))))
1.0ms	x	@	inf	(log1p.f64 (expm1.f64 (*.f64 2 (sinh.f64 x))))
0.0ms	x	@	0	(log1p.f64 (expm1.f64 (*.f64 2 (sinh.f64 x))))
0.0ms	x	@	0	(expm1.f64 (*.f64 2 (sinh.f64 x)))
0.0ms	x	@	inf	(expm1.f64 (*.f64 2 (sinh.f64 x)))

rewrite62.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

1462×	`add-sqr-sqrt`
1444×	`*-un-lft-identity`
1340×	`add-cube-cbrt`
1326×	`add-cbrt-cube`
1312×	`add-exp-log`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	31
1	178	31
2	1868	31

Stop Event

1×	node limit

Counts

3 → 69

Calls

Call 1

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

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

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

simplify56.0ms (1%)

Algorithm

1×	egg-herbie

Rules

1504×	`associate-*r/`
1102×	`unswap-sqr`
860×	`*-commutative`
768×	`associate-*l/`
750×	`associate-/r*`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	191	2347
1	468	1893
2	2326	1763

Stop Event

1×	node limit

Counts

105 → 121

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) (/.f64 1 (exp.f64 x)))
(-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x)))
(-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x)))
(-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x)))
(-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x)))
(-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x)))
(-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x)))
(-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x)))
(*.f64 2 x)
(+.f64 (.f64 2 (pow.f64 x 2)) (.f64 2 x))
(+.f64 (.f64 2 (pow.f64 x 2)) (+.f64 (.f64 2 x) (*.f64 5/3 (pow.f64 x 3))))
(+.f64 (.f64 2 (pow.f64 x 2)) (+.f64 (.f64 2 x) (+.f64 (.f64 4/3 (pow.f64 x 4)) (.f64 5/3 (pow.f64 x 3)))))
(-.f64 (exp.f64 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x)))) 1)
(-.f64 (exp.f64 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x)))) 1)
(-.f64 (exp.f64 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x)))) 1)
(-.f64 (exp.f64 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x)))) 1)
(-.f64 (exp.f64 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x)))) 1)
(-.f64 (exp.f64 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x)))) 1)
(-.f64 (exp.f64 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x)))) 1)
(-.f64 (exp.f64 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x)))) 1)
x
(+.f64 (*.f64 1/6 (pow.f64 x 3)) x)
(+.f64 (.f64 1/6 (pow.f64 x 3)) (+.f64 (.f64 1/120 (pow.f64 x 5)) x))
(+.f64 (.f64 1/6 (pow.f64 x 3)) (+.f64 (.f64 1/5040 (pow.f64 x 7)) (+.f64 (*.f64 1/120 (pow.f64 x 5)) x)))
(*.f64 1/2 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))))
(*.f64 1/2 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))))
(*.f64 1/2 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))))
(*.f64 1/2 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))))
(*.f64 1/2 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))))
(*.f64 1/2 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))))
(*.f64 1/2 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))))
(*.f64 1/2 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))))
(+.f64 (exp.f64 x) (neg.f64 (exp.f64 (neg.f64 x))))
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(-.f64 (+.f64 1 (*.f64 2 (sinh.f64 x))) 1)
(*.f64 2 (sinh.f64 x))
(*.f64 (sinh.f64 x) 2)
(.f64 (.f64 2 (sinh.f64 x)) 1)
(.f64 1 (.f64 2 (sinh.f64 x)))
(.f64 (sqrt.f64 (sinh.f64 x)) (.f64 (sqrt.f64 (sinh.f64 x)) 2))
(.f64 (sqrt.f64 (.f64 2 (sinh.f64 x))) (sqrt.f64 (*.f64 2 (sinh.f64 x))))
(.f64 (pow.f64 (cbrt.f64 (sinh.f64 x)) 2) (.f64 (cbrt.f64 (sinh.f64 x)) 2))
(.f64 (cbrt.f64 (.f64 2 (sinh.f64 x))) (pow.f64 (cbrt.f64 (*.f64 2 (sinh.f64 x))) 2))
(.f64 (pow.f64 (cbrt.f64 (.f64 2 (sinh.f64 x))) 2) (cbrt.f64 (*.f64 2 (sinh.f64 x))))
(.f64 (.f64 2 (sqrt.f64 (sinh.f64 x))) (sqrt.f64 (sinh.f64 x)))
(.f64 (.f64 2 (pow.f64 (cbrt.f64 (sinh.f64 x)) 2)) (cbrt.f64 (sinh.f64 x)))
(/.f64 (.f64 (.f64 2 (sinh.f64 x)) 2) 2)
(/.f64 (.f64 2 (.f64 2 (sinh.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 (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)
(pow.f64 (sqrt.f64 (*.f64 2 (sinh.f64 x))) 2)
(pow.f64 (cbrt.f64 (*.f64 2 (sinh.f64 x))) 3)
(pow.f64 (pow.f64 (*.f64 2 (sinh.f64 x)) 3) 1/3)
(sqrt.f64 (*.f64 (pow.f64 (sinh.f64 x) 2) 4))
(log.f64 (pow.f64 (exp.f64 (sinh.f64 x)) 2))
(cbrt.f64 (pow.f64 (*.f64 2 (sinh.f64 x)) 3))
(expm1.f64 (log1p.f64 (*.f64 2 (sinh.f64 x))))
(exp.f64 (log.f64 (*.f64 2 (sinh.f64 x))))
(exp.f64 (.f64 (log.f64 (.f64 2 (sinh.f64 x))) 1))
(+.f64 (pow.f64 (exp.f64 (sinh.f64 x)) 2) -1)
(-.f64 (pow.f64 (exp.f64 (sinh.f64 x)) 2) 1)
(.f64 (expm1.f64 (.f64 2 (sinh.f64 x))) 1)
(.f64 1 (expm1.f64 (.f64 2 (sinh.f64 x))))
(.f64 (sqrt.f64 (expm1.f64 (.f64 2 (sinh.f64 x)))) (sqrt.f64 (expm1.f64 (*.f64 2 (sinh.f64 x)))))
(.f64 (cbrt.f64 (expm1.f64 (.f64 2 (sinh.f64 x)))) (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 2 (sinh.f64 x)))) 2))
(.f64 (pow.f64 (cbrt.f64 (expm1.f64 (.f64 2 (sinh.f64 x)))) 2) (cbrt.f64 (expm1.f64 (*.f64 2 (sinh.f64 x)))))
(/.f64 (-.f64 (*.f64 (pow.f64 (exp.f64 (sinh.f64 x)) 2) (pow.f64 (exp.f64 (sinh.f64 x)) 2)) 1) (+.f64 (pow.f64 (exp.f64 (sinh.f64 x)) 2) 1))
(/.f64 (-.f64 (pow.f64 (pow.f64 (exp.f64 (sinh.f64 x)) 2) 3) 1) (+.f64 (.f64 (pow.f64 (exp.f64 (sinh.f64 x)) 2) (pow.f64 (exp.f64 (sinh.f64 x)) 2)) (+.f64 1 (.f64 (pow.f64 (exp.f64 (sinh.f64 x)) 2) 1))))
(pow.f64 (expm1.f64 (*.f64 2 (sinh.f64 x))) 1)
(pow.f64 (sqrt.f64 (expm1.f64 (*.f64 2 (sinh.f64 x)))) 2)
(pow.f64 (cbrt.f64 (expm1.f64 (*.f64 2 (sinh.f64 x)))) 3)
(pow.f64 (pow.f64 (expm1.f64 (*.f64 2 (sinh.f64 x))) 3) 1/3)
(sqrt.f64 (pow.f64 (expm1.f64 (*.f64 2 (sinh.f64 x))) 2))
(log.f64 (exp.f64 (expm1.f64 (*.f64 2 (sinh.f64 x)))))
(cbrt.f64 (pow.f64 (expm1.f64 (*.f64 2 (sinh.f64 x))) 3))
(exp.f64 (log.f64 (expm1.f64 (*.f64 2 (sinh.f64 x)))))
(exp.f64 (.f64 (log.f64 (expm1.f64 (.f64 2 (sinh.f64 x)))) 1))
(log1p.f64 (expm1.f64 (expm1.f64 (*.f64 2 (sinh.f64 x)))))
(-.f64 (+.f64 1 (sinh.f64 x)) 1)
(-.f64 (/.f64 (exp.f64 x) 2) (/.f64 (exp.f64 (neg.f64 x)) 2))
(*.f64 (sinh.f64 x) 1)
(.f64 (.f64 2 (sinh.f64 x)) 1/2)
(*.f64 1 (sinh.f64 x))
(*.f64 (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 2 (sinh.f64 x)) 2)
(/.f64 1 (/.f64 2 (*.f64 2 (sinh.f64 x))))
(/.f64 (neg.f64 (*.f64 2 (sinh.f64 x))) -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)))
(exp.f64 (*.f64 (log.f64 (sinh.f64 x)) 1))
(log1p.f64 (expm1.f64 (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 (.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))))
(+.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)))))
(-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x)))
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x)))
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x)))
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x)))
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x)))
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x)))
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x)))
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x)))
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(*.f64 2 x)
(+.f64 x x)
(+.f64 (.f64 2 (pow.f64 x 2)) (.f64 2 x))
(.f64 2 (+.f64 (.f64 x x) x))
(*.f64 2 (fma.f64 x x x))
(+.f64 (.f64 2 (pow.f64 x 2)) (+.f64 (.f64 2 x) (*.f64 5/3 (pow.f64 x 3))))
(fma.f64 2 (.f64 x x) (fma.f64 2 x (.f64 (pow.f64 x 3) 5/3)))
(fma.f64 2 (fma.f64 x x x) (*.f64 (pow.f64 x 3) 5/3))
(+.f64 (.f64 2 (pow.f64 x 2)) (+.f64 (.f64 2 x) (+.f64 (.f64 4/3 (pow.f64 x 4)) (.f64 5/3 (pow.f64 x 3)))))
(fma.f64 2 (.f64 x x) (fma.f64 2 x (fma.f64 4/3 (pow.f64 x 4) (.f64 (pow.f64 x 3) 5/3))))
(fma.f64 2 (fma.f64 x x x) (fma.f64 4/3 (pow.f64 x 4) (*.f64 (pow.f64 x 3) 5/3)))
(fma.f64 2 (fma.f64 x x x) (fma.f64 (pow.f64 x 3) 5/3 (*.f64 4/3 (pow.f64 x 4))))
(-.f64 (exp.f64 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x)))) 1)
(expm1.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(-.f64 (exp.f64 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x)))) 1)
(expm1.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(-.f64 (exp.f64 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x)))) 1)
(expm1.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(-.f64 (exp.f64 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x)))) 1)
(expm1.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(-.f64 (exp.f64 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x)))) 1)
(expm1.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(-.f64 (exp.f64 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x)))) 1)
(expm1.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(-.f64 (exp.f64 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x)))) 1)
(expm1.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(-.f64 (exp.f64 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x)))) 1)
(expm1.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
x
(+.f64 (*.f64 1/6 (pow.f64 x 3)) x)
(fma.f64 1/6 (pow.f64 x 3) x)
(fma.f64 (pow.f64 x 3) 1/6 x)
(+.f64 (.f64 1/6 (pow.f64 x 3)) (+.f64 (.f64 1/120 (pow.f64 x 5)) x))
(fma.f64 1/6 (pow.f64 x 3) (fma.f64 1/120 (pow.f64 x 5) x))
(fma.f64 (pow.f64 x 3) 1/6 (fma.f64 (pow.f64 x 5) 1/120 x))
(+.f64 (.f64 1/6 (pow.f64 x 3)) (+.f64 (.f64 1/5040 (pow.f64 x 7)) (+.f64 (*.f64 1/120 (pow.f64 x 5)) x)))
(fma.f64 1/6 (pow.f64 x 3) (fma.f64 1/5040 (pow.f64 x 7) (fma.f64 1/120 (pow.f64 x 5) x)))
(fma.f64 (pow.f64 x 3) 1/6 (fma.f64 (pow.f64 x 7) 1/5040 (fma.f64 (pow.f64 x 5) 1/120 x)))
(*.f64 1/2 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))))
(*.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 1/2)
(*.f64 1/2 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))))
(*.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 1/2)
(*.f64 1/2 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))))
(*.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 1/2)
(*.f64 1/2 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))))
(*.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 1/2)
(*.f64 1/2 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))))
(*.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 1/2)
(*.f64 1/2 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))))
(*.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 1/2)
(*.f64 1/2 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))))
(*.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 1/2)
(*.f64 1/2 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))))
(*.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 1/2)
(+.f64 (exp.f64 x) (neg.f64 (exp.f64 (neg.f64 x))))
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(-.f64 (+.f64 1 (*.f64 2 (sinh.f64 x))) 1)
(+.f64 1 (-.f64 (*.f64 2 (sinh.f64 x)) 1))
(*.f64 2 (sinh.f64 x))
(*.f64 2 (sinh.f64 x))
(+.f64 1 (-.f64 (*.f64 2 (sinh.f64 x)) 1))
(*.f64 (sinh.f64 x) 2)
(+.f64 1 (-.f64 (*.f64 2 (sinh.f64 x)) 1))
(*.f64 2 (sinh.f64 x))
(.f64 (.f64 2 (sinh.f64 x)) 1)
(+.f64 1 (-.f64 (*.f64 2 (sinh.f64 x)) 1))
(*.f64 2 (sinh.f64 x))
(.f64 1 (.f64 2 (sinh.f64 x)))
(+.f64 1 (-.f64 (*.f64 2 (sinh.f64 x)) 1))
(*.f64 2 (sinh.f64 x))
(.f64 (sqrt.f64 (sinh.f64 x)) (.f64 (sqrt.f64 (sinh.f64 x)) 2))
(+.f64 1 (-.f64 (*.f64 2 (sinh.f64 x)) 1))
(*.f64 2 (sinh.f64 x))
(.f64 (sqrt.f64 (.f64 2 (sinh.f64 x))) (sqrt.f64 (*.f64 2 (sinh.f64 x))))
(+.f64 1 (-.f64 (*.f64 2 (sinh.f64 x)) 1))
(*.f64 2 (sinh.f64 x))
(.f64 (pow.f64 (cbrt.f64 (sinh.f64 x)) 2) (.f64 (cbrt.f64 (sinh.f64 x)) 2))
(+.f64 1 (-.f64 (*.f64 2 (sinh.f64 x)) 1))
(*.f64 2 (sinh.f64 x))
(.f64 (cbrt.f64 (.f64 2 (sinh.f64 x))) (pow.f64 (cbrt.f64 (*.f64 2 (sinh.f64 x))) 2))
(+.f64 1 (-.f64 (*.f64 2 (sinh.f64 x)) 1))
(*.f64 2 (sinh.f64 x))
(.f64 (pow.f64 (cbrt.f64 (.f64 2 (sinh.f64 x))) 2) (cbrt.f64 (*.f64 2 (sinh.f64 x))))
(+.f64 1 (-.f64 (*.f64 2 (sinh.f64 x)) 1))
(*.f64 2 (sinh.f64 x))
(.f64 (.f64 2 (sqrt.f64 (sinh.f64 x))) (sqrt.f64 (sinh.f64 x)))
(+.f64 1 (-.f64 (*.f64 2 (sinh.f64 x)) 1))
(*.f64 2 (sinh.f64 x))
(.f64 (.f64 2 (pow.f64 (cbrt.f64 (sinh.f64 x)) 2)) (cbrt.f64 (sinh.f64 x)))
(+.f64 1 (-.f64 (*.f64 2 (sinh.f64 x)) 1))
(*.f64 2 (sinh.f64 x))
(/.f64 (.f64 (.f64 2 (sinh.f64 x)) 2) 2)
(+.f64 1 (-.f64 (*.f64 2 (sinh.f64 x)) 1))
(*.f64 2 (sinh.f64 x))
(/.f64 (.f64 2 (.f64 2 (sinh.f64 x))) 2)
(+.f64 1 (-.f64 (*.f64 2 (sinh.f64 x)) 1))
(*.f64 2 (sinh.f64 x))
(/.f64 (-.f64 (.f64 (exp.f64 x) (exp.f64 x)) (.f64 (exp.f64 (neg.f64 x)) (exp.f64 (neg.f64 x)))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/.f64 (-.f64 (exp.f64 (+.f64 x x)) (exp.f64 (+.f64 (neg.f64 x) (neg.f64 x)))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/.f64 (-.f64 (exp.f64 (+.f64 x x)) (exp.f64 (*.f64 x -2))) (+.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 (exp.f64 (+.f64 x x)) (+.f64 1 (exp.f64 (*.f64 x -2)))))
(/.f64 (-.f64 (pow.f64 (exp.f64 x) 3) (exp.f64 (.f64 x -3))) (fma.f64 (exp.f64 x) (exp.f64 x) (+.f64 1 (exp.f64 (.f64 x -2)))))
(pow.f64 (*.f64 2 (sinh.f64 x)) 1)
(+.f64 1 (-.f64 (*.f64 2 (sinh.f64 x)) 1))
(*.f64 2 (sinh.f64 x))
(pow.f64 (sqrt.f64 (*.f64 2 (sinh.f64 x))) 2)
(+.f64 1 (-.f64 (*.f64 2 (sinh.f64 x)) 1))
(*.f64 2 (sinh.f64 x))
(pow.f64 (cbrt.f64 (*.f64 2 (sinh.f64 x))) 3)
(+.f64 1 (-.f64 (*.f64 2 (sinh.f64 x)) 1))
(*.f64 2 (sinh.f64 x))
(pow.f64 (pow.f64 (*.f64 2 (sinh.f64 x)) 3) 1/3)
(+.f64 1 (-.f64 (*.f64 2 (sinh.f64 x)) 1))
(*.f64 2 (sinh.f64 x))
(sqrt.f64 (*.f64 (pow.f64 (sinh.f64 x) 2) 4))
(sqrt.f64 (*.f64 4 (pow.f64 (sinh.f64 x) 2)))
(log.f64 (pow.f64 (exp.f64 (sinh.f64 x)) 2))
(+.f64 1 (-.f64 (*.f64 2 (sinh.f64 x)) 1))
(*.f64 2 (sinh.f64 x))
(cbrt.f64 (pow.f64 (*.f64 2 (sinh.f64 x)) 3))
(+.f64 1 (-.f64 (*.f64 2 (sinh.f64 x)) 1))
(*.f64 2 (sinh.f64 x))
(expm1.f64 (log1p.f64 (*.f64 2 (sinh.f64 x))))
(+.f64 1 (-.f64 (*.f64 2 (sinh.f64 x)) 1))
(*.f64 2 (sinh.f64 x))
(exp.f64 (log.f64 (*.f64 2 (sinh.f64 x))))
(+.f64 1 (-.f64 (*.f64 2 (sinh.f64 x)) 1))
(*.f64 2 (sinh.f64 x))
(exp.f64 (.f64 (log.f64 (.f64 2 (sinh.f64 x))) 1))
(+.f64 1 (-.f64 (*.f64 2 (sinh.f64 x)) 1))
(*.f64 2 (sinh.f64 x))
(+.f64 (pow.f64 (exp.f64 (sinh.f64 x)) 2) -1)
(-.f64 (pow.f64 (exp.f64 (sinh.f64 x)) 2) 1)
(+.f64 (pow.f64 (exp.f64 (sinh.f64 x)) 2) -1)
(.f64 (expm1.f64 (.f64 2 (sinh.f64 x))) 1)
(expm1.f64 (*.f64 2 (sinh.f64 x)))
(.f64 1 (expm1.f64 (.f64 2 (sinh.f64 x))))
(expm1.f64 (*.f64 2 (sinh.f64 x)))
(.f64 (sqrt.f64 (expm1.f64 (.f64 2 (sinh.f64 x)))) (sqrt.f64 (expm1.f64 (*.f64 2 (sinh.f64 x)))))
(expm1.f64 (*.f64 2 (sinh.f64 x)))
(.f64 (cbrt.f64 (expm1.f64 (.f64 2 (sinh.f64 x)))) (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 2 (sinh.f64 x)))) 2))
(expm1.f64 (*.f64 2 (sinh.f64 x)))
(.f64 (pow.f64 (cbrt.f64 (expm1.f64 (.f64 2 (sinh.f64 x)))) 2) (cbrt.f64 (expm1.f64 (*.f64 2 (sinh.f64 x)))))
(expm1.f64 (*.f64 2 (sinh.f64 x)))
(/.f64 (-.f64 (*.f64 (pow.f64 (exp.f64 (sinh.f64 x)) 2) (pow.f64 (exp.f64 (sinh.f64 x)) 2)) 1) (+.f64 (pow.f64 (exp.f64 (sinh.f64 x)) 2) 1))
(/.f64 (+.f64 (pow.f64 (exp.f64 (sinh.f64 x)) 4) -1) (+.f64 1 (pow.f64 (exp.f64 (sinh.f64 x)) 2)))
(/.f64 (+.f64 -1 (pow.f64 (exp.f64 (sinh.f64 x)) 4)) (+.f64 1 (pow.f64 (exp.f64 (sinh.f64 x)) 2)))
(/.f64 (-.f64 (pow.f64 (pow.f64 (exp.f64 (sinh.f64 x)) 2) 3) 1) (+.f64 (.f64 (pow.f64 (exp.f64 (sinh.f64 x)) 2) (pow.f64 (exp.f64 (sinh.f64 x)) 2)) (+.f64 1 (.f64 (pow.f64 (exp.f64 (sinh.f64 x)) 2) 1))))
(/.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 (sinh.f64 x)) 2) 3) -1) (+.f64 (+.f64 (pow.f64 (exp.f64 (sinh.f64 x)) 4) 1) (pow.f64 (exp.f64 (sinh.f64 x)) 2)))
(/.f64 (+.f64 -1 (pow.f64 (pow.f64 (exp.f64 (sinh.f64 x)) 2) 3)) (+.f64 (pow.f64 (exp.f64 (sinh.f64 x)) 2) (+.f64 1 (pow.f64 (exp.f64 (sinh.f64 x)) 4))))
(pow.f64 (expm1.f64 (*.f64 2 (sinh.f64 x))) 1)
(expm1.f64 (*.f64 2 (sinh.f64 x)))
(pow.f64 (sqrt.f64 (expm1.f64 (*.f64 2 (sinh.f64 x)))) 2)
(expm1.f64 (*.f64 2 (sinh.f64 x)))
(pow.f64 (cbrt.f64 (expm1.f64 (*.f64 2 (sinh.f64 x)))) 3)
(expm1.f64 (*.f64 2 (sinh.f64 x)))
(pow.f64 (pow.f64 (expm1.f64 (*.f64 2 (sinh.f64 x))) 3) 1/3)
(expm1.f64 (*.f64 2 (sinh.f64 x)))
(sqrt.f64 (pow.f64 (expm1.f64 (*.f64 2 (sinh.f64 x))) 2))
(fabs.f64 (expm1.f64 (*.f64 2 (sinh.f64 x))))
(log.f64 (exp.f64 (expm1.f64 (*.f64 2 (sinh.f64 x)))))
(expm1.f64 (*.f64 2 (sinh.f64 x)))
(cbrt.f64 (pow.f64 (expm1.f64 (*.f64 2 (sinh.f64 x))) 3))
(expm1.f64 (*.f64 2 (sinh.f64 x)))
(exp.f64 (log.f64 (expm1.f64 (*.f64 2 (sinh.f64 x)))))
(expm1.f64 (*.f64 2 (sinh.f64 x)))
(exp.f64 (.f64 (log.f64 (expm1.f64 (.f64 2 (sinh.f64 x)))) 1))
(expm1.f64 (*.f64 2 (sinh.f64 x)))
(log1p.f64 (expm1.f64 (expm1.f64 (*.f64 2 (sinh.f64 x)))))
(expm1.f64 (*.f64 2 (sinh.f64 x)))
(-.f64 (+.f64 1 (sinh.f64 x)) 1)
(+.f64 1 (-.f64 (sinh.f64 x) 1))
(+.f64 (sinh.f64 x) 0)
(sinh.f64 x)
(-.f64 (/.f64 (exp.f64 x) 2) (/.f64 (exp.f64 (neg.f64 x)) 2))
(+.f64 1 (-.f64 (sinh.f64 x) 1))
(+.f64 (sinh.f64 x) 0)
(sinh.f64 x)
(*.f64 (sinh.f64 x) 1)
(+.f64 1 (-.f64 (sinh.f64 x) 1))
(+.f64 (sinh.f64 x) 0)
(sinh.f64 x)
(.f64 (.f64 2 (sinh.f64 x)) 1/2)
(+.f64 1 (-.f64 (sinh.f64 x) 1))
(+.f64 (sinh.f64 x) 0)
(sinh.f64 x)
(*.f64 1 (sinh.f64 x))
(+.f64 1 (-.f64 (sinh.f64 x) 1))
(+.f64 (sinh.f64 x) 0)
(sinh.f64 x)
(*.f64 (sqrt.f64 (sinh.f64 x)) (sqrt.f64 (sinh.f64 x)))
(+.f64 1 (-.f64 (sinh.f64 x) 1))
(+.f64 (sinh.f64 x) 0)
(sinh.f64 x)
(*.f64 (cbrt.f64 (sinh.f64 x)) (pow.f64 (cbrt.f64 (sinh.f64 x)) 2))
(+.f64 1 (-.f64 (sinh.f64 x) 1))
(+.f64 (sinh.f64 x) 0)
(sinh.f64 x)
(*.f64 (pow.f64 (cbrt.f64 (sinh.f64 x)) 2) (cbrt.f64 (sinh.f64 x)))
(+.f64 1 (-.f64 (sinh.f64 x) 1))
(+.f64 (sinh.f64 x) 0)
(sinh.f64 x)
(/.f64 (*.f64 2 (sinh.f64 x)) 2)
(+.f64 1 (-.f64 (sinh.f64 x) 1))
(+.f64 (sinh.f64 x) 0)
(sinh.f64 x)
(/.f64 1 (/.f64 2 (*.f64 2 (sinh.f64 x))))
(+.f64 1 (-.f64 (sinh.f64 x) 1))
(+.f64 (sinh.f64 x) 0)
(sinh.f64 x)
(/.f64 (neg.f64 (*.f64 2 (sinh.f64 x))) -2)
(+.f64 1 (-.f64 (sinh.f64 x) 1))
(+.f64 (sinh.f64 x) 0)
(sinh.f64 x)
(pow.f64 (sinh.f64 x) 1)
(+.f64 1 (-.f64 (sinh.f64 x) 1))
(+.f64 (sinh.f64 x) 0)
(sinh.f64 x)
(pow.f64 (sqrt.f64 (sinh.f64 x)) 2)
(+.f64 1 (-.f64 (sinh.f64 x) 1))
(+.f64 (sinh.f64 x) 0)
(sinh.f64 x)
(pow.f64 (cbrt.f64 (sinh.f64 x)) 3)
(+.f64 1 (-.f64 (sinh.f64 x) 1))
(+.f64 (sinh.f64 x) 0)
(sinh.f64 x)
(pow.f64 (pow.f64 (sinh.f64 x) 3) 1/3)
(+.f64 1 (-.f64 (sinh.f64 x) 1))
(+.f64 (sinh.f64 x) 0)
(sinh.f64 x)
(sqrt.f64 (pow.f64 (sinh.f64 x) 2))
(fabs.f64 (sinh.f64 x))
(log.f64 (exp.f64 (sinh.f64 x)))
(+.f64 1 (-.f64 (sinh.f64 x) 1))
(+.f64 (sinh.f64 x) 0)
(sinh.f64 x)
(cbrt.f64 (pow.f64 (sinh.f64 x) 3))
(+.f64 1 (-.f64 (sinh.f64 x) 1))
(+.f64 (sinh.f64 x) 0)
(sinh.f64 x)
(expm1.f64 (log1p.f64 (sinh.f64 x)))
(+.f64 1 (-.f64 (sinh.f64 x) 1))
(+.f64 (sinh.f64 x) 0)
(sinh.f64 x)
(exp.f64 (log.f64 (sinh.f64 x)))
(+.f64 1 (-.f64 (sinh.f64 x) 1))
(+.f64 (sinh.f64 x) 0)
(sinh.f64 x)
(exp.f64 (*.f64 (log.f64 (sinh.f64 x)) 1))
(+.f64 1 (-.f64 (sinh.f64 x) 1))
(+.f64 (sinh.f64 x) 0)
(sinh.f64 x)
(log1p.f64 (expm1.f64 (sinh.f64 x)))
(+.f64 1 (-.f64 (sinh.f64 x) 1))
(+.f64 (sinh.f64 x) 0)
(sinh.f64 x)

localize7.0ms (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)

localize14.0ms (0.3%)

Local error

Found 3 expressions with local error:

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

Counts

3 → 36

Calls

9 calls:

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

rewrite61.0ms (1.1%)

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	43
1	181	43
2	2043	43

Stop Event

1×	node limit

Counts

3 → 51

Calls

Call 1

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

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

simplify64.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

1506×	`associate-/r*`
1310×	`unswap-sqr`
864×	`distribute-lft-in`
836×	`distribute-rgt-in`
686×	`+-commutative`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	124	1339
1	282	1321
2	1322	1277
3	6563	1277

Stop Event

1×	node limit

Counts

87 → 73

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

localize6.0ms (0.1%)

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

eval355.0ms (6.5%)

Compiler: Compiled 3050 to 2207 computations (27.6% saved)

prune30.0ms (0.6%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	229	3	232
Fresh	0	0	0
Picked	0	1	1
Done	1	2	3
Total	230	6	236

Error

Counts

236 → 6

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.8b	(/.f64 (+.f64 (.f64 (.f64 x (.f64 x 1/3)) x) (.f64 2 x)) 2)
✓	1.1b	(/.f64 (+.f64 x x) 2)
▶	0.8b	(/.f64 (.f64 x (+.f64 (.f64 x (*.f64 x 1/3)) 2)) 2)
▶	59.9b	(/.f64 (.f64 x (.f64 1/3 (*.f64 x x))) 2)
✓	0.0b	(/.f64 (*.f64 2 (sinh.f64 x)) 2)
✓	0.3b	(/.f64 (log1p.f64 (expm1.f64 (*.f64 2 (sinh.f64 x)))) 2)

Compiler

Compiled 58 to 44 computations (24.1% saved)

localize10.0ms (0.2%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 (.f64 x (.f64 1/3 (*.f64 x x))) 2)
✓	0.1b	(.f64 x (.f64 1/3 (*.f64 x x)))
✓	0.2b	(.f64 1/3 (.f64 x x))

Compiler

Compiled 28 to 14 computations (50% saved)

series3.0ms (0.1%)

Counts

3 → 36

Calls

9 calls:

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

rewrite64.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

1810×	`add-sqr-sqrt`
1776×	`*-un-lft-identity`
1670×	`add-cube-cbrt`
1654×	`add-cbrt-cube`
178×	`add-exp-log`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	57
1	194	45
2	2365	45

Stop Event

1×	node limit

Counts

3 → 56

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 1/3 (*.f64 x x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 1/3 (*.f64 x x)) 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 1/3 (*.f64 x x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 1/3 (*.f64 x x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 x 4) 1/9))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 1/3) (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 1/3 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 1/3 (*.f64 x x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 1/3 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 1/3 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 1/3 (*.f64 x x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 1/3 (*.f64 x x))))))))

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

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

simplify71.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

1570×	`associate-/l*`
1128×	`associate-/r*`
972×	`unswap-sqr`
856×	`*-commutative`
766×	`+-commutative`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	131	1304
1	309	1286
2	1497	1266
3	6063	1266

Stop Event

1×	node limit

Counts

92 → 68

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

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 1/6 (pow.f64 x 3))
(*.f64 (pow.f64 x 3) 1/6)
(*.f64 1/6 (pow.f64 x 3))
(*.f64 (pow.f64 x 3) 1/6)
(*.f64 1/6 (pow.f64 x 3))
(*.f64 (pow.f64 x 3) 1/6)
(*.f64 1/6 (pow.f64 x 3))
(*.f64 (pow.f64 x 3) 1/6)
(*.f64 1/6 (pow.f64 x 3))
(*.f64 (pow.f64 x 3) 1/6)
(*.f64 1/6 (pow.f64 x 3))
(*.f64 (pow.f64 x 3) 1/6)
(*.f64 1/6 (pow.f64 x 3))
(*.f64 (pow.f64 x 3) 1/6)
(*.f64 1/6 (pow.f64 x 3))
(*.f64 (pow.f64 x 3) 1/6)
(*.f64 1/6 (pow.f64 x 3))
(*.f64 (pow.f64 x 3) 1/6)
(*.f64 1/6 (pow.f64 x 3))
(*.f64 (pow.f64 x 3) 1/6)
(*.f64 1/6 (pow.f64 x 3))
(*.f64 (pow.f64 x 3) 1/6)
(*.f64 1/6 (pow.f64 x 3))
(*.f64 (pow.f64 x 3) 1/6)
(-.f64 (exp.f64 (log1p.f64 (.f64 1/3 (.f64 x x)))) 1)
(.f64 1/3 (.f64 x x))
(pow.f64 (.f64 1/3 (.f64 x x)) 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 1/3 (.f64 x x))) 3)
(.f64 1/3 (.f64 x x))
(pow.f64 (pow.f64 (.f64 1/3 (.f64 x x)) 3) 1/3)
(.f64 1/3 (.f64 x x))
(sqrt.f64 (*.f64 (pow.f64 x 4) 1/9))
(log.f64 (pow.f64 (exp.f64 1/3) (*.f64 x x)))
(.f64 1/3 (.f64 x x))
(log.f64 (+.f64 1 (expm1.f64 (.f64 1/3 (.f64 x x)))))
(.f64 1/3 (.f64 x x))
(cbrt.f64 (pow.f64 (.f64 1/3 (.f64 x x)) 3))
(.f64 1/3 (.f64 x x))
(expm1.f64 (log1p.f64 (.f64 1/3 (.f64 x x))))
(.f64 1/3 (.f64 x x))
(exp.f64 (log.f64 (.f64 1/3 (.f64 x x))))
(.f64 1/3 (.f64 x x))
(exp.f64 (.f64 (log.f64 (.f64 1/3 (*.f64 x x))) 1))
(.f64 1/3 (.f64 x x))
(log1p.f64 (expm1.f64 (.f64 1/3 (.f64 x x))))
(.f64 1/3 (.f64 x x))
(-.f64 (exp.f64 (log1p.f64 (*.f64 1/3 (pow.f64 x 3)))) 1)
(*.f64 1/3 (pow.f64 x 3))
(pow.f64 (*.f64 1/3 (pow.f64 x 3)) 1)
(*.f64 1/3 (pow.f64 x 3))
(pow.f64 (.f64 (sqrt.f64 (.f64 1/3 x)) x) 2)
(*.f64 1/3 (pow.f64 x 3))
(pow.f64 (cbrt.f64 (*.f64 1/3 (pow.f64 x 3))) 3)
(*.f64 1/3 (pow.f64 x 3))
(pow.f64 (pow.f64 (*.f64 1/3 (pow.f64 x 3)) 3) 1/3)
(*.f64 1/3 (pow.f64 x 3))
(sqrt.f64 (pow.f64 (*.f64 1/3 (pow.f64 x 3)) 2))
(*.f64 1/3 (pow.f64 x 3))
(log.f64 (exp.f64 (*.f64 1/3 (pow.f64 x 3))))
(*.f64 1/3 (pow.f64 x 3))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 1/3 (pow.f64 x 3)))))
(*.f64 1/3 (pow.f64 x 3))
(cbrt.f64 (pow.f64 (*.f64 1/3 (pow.f64 x 3)) 3))
(*.f64 1/3 (pow.f64 x 3))
(expm1.f64 (log1p.f64 (*.f64 1/3 (pow.f64 x 3))))
(*.f64 1/3 (pow.f64 x 3))
(exp.f64 (log.f64 (*.f64 1/3 (pow.f64 x 3))))
(*.f64 1/3 (pow.f64 x 3))
(exp.f64 (.f64 (log.f64 (.f64 1/3 (pow.f64 x 3))) 1))
(*.f64 1/3 (pow.f64 x 3))
(log1p.f64 (expm1.f64 (*.f64 1/3 (pow.f64 x 3))))
(*.f64 1/3 (pow.f64 x 3))
(-.f64 (exp.f64 (log1p.f64 (.f64 (.f64 1/3 (pow.f64 x 3)) 1/2))) 1)
(*.f64 (pow.f64 x 3) 1/6)
(.f64 x (.f64 (.f64 1/3 (.f64 x x)) 1/2))
(*.f64 (pow.f64 x 3) 1/6)
(.f64 x (/.f64 1 (/.f64 6 (.f64 x x))))
(*.f64 (pow.f64 x 3) 1/6)
(.f64 (.f64 1/3 (.f64 x x)) (.f64 x 1/2))
(*.f64 (pow.f64 x 3) 1/6)
(.f64 (.f64 1/3 (pow.f64 x 3)) 1/2)
(*.f64 (pow.f64 x 3) 1/6)
(.f64 (.f64 (*.f64 1/3 (pow.f64 x 3)) 1/2) 1)
(*.f64 (pow.f64 x 3) 1/6)
(.f64 1 (.f64 (*.f64 1/3 (pow.f64 x 3)) 1/2))
(*.f64 (pow.f64 x 3) 1/6)
(.f64 (sqrt.f64 (.f64 (.f64 1/3 (pow.f64 x 3)) 1/2)) (sqrt.f64 (.f64 (*.f64 1/3 (pow.f64 x 3)) 1/2)))
(*.f64 (pow.f64 x 3) 1/6)
(.f64 (.f64 (sqrt.f64 (.f64 1/3 x)) x) (.f64 (.f64 (sqrt.f64 (.f64 1/3 x)) x) 1/2))
(*.f64 (pow.f64 x 3) 1/6)
(.f64 (cbrt.f64 (.f64 (.f64 1/3 (pow.f64 x 3)) 1/2)) (cbrt.f64 (.f64 (pow.f64 (*.f64 1/3 (pow.f64 x 3)) 2) 1/4)))
(.f64 (cbrt.f64 (.f64 (pow.f64 x 3) 1/6)) (cbrt.f64 (.f64 (pow.f64 (.f64 1/3 (pow.f64 x 3)) 2) 1/4)))
(.f64 (cbrt.f64 (.f64 (pow.f64 x 3) 1/6)) (cbrt.f64 (.f64 (pow.f64 (.f64 x x) 3) 1/36)))
(.f64 (cbrt.f64 (.f64 (pow.f64 x 3) 1/6)) (cbrt.f64 (*.f64 (pow.f64 x 6) 1/36)))
(.f64 (cbrt.f64 (.f64 (pow.f64 (.f64 1/3 (pow.f64 x 3)) 2) 1/4)) (cbrt.f64 (.f64 (*.f64 1/3 (pow.f64 x 3)) 1/2)))
(.f64 (cbrt.f64 (.f64 (pow.f64 x 3) 1/6)) (cbrt.f64 (.f64 (pow.f64 (.f64 1/3 (pow.f64 x 3)) 2) 1/4)))
(.f64 (cbrt.f64 (.f64 (pow.f64 x 3) 1/6)) (cbrt.f64 (.f64 (pow.f64 (.f64 x x) 3) 1/36)))
(.f64 (cbrt.f64 (.f64 (pow.f64 x 3) 1/6)) (cbrt.f64 (*.f64 (pow.f64 x 6) 1/36)))
(.f64 (pow.f64 (cbrt.f64 (.f64 1/3 (pow.f64 x 3))) 2) (.f64 (cbrt.f64 (.f64 1/3 (pow.f64 x 3))) 1/2))
(*.f64 (pow.f64 x 3) 1/6)
(.f64 (.f64 1/3 x) (.f64 (.f64 x x) 1/2))
(*.f64 (pow.f64 x 3) 1/6)
(.f64 1/2 (.f64 1/3 (pow.f64 x 3)))
(*.f64 (pow.f64 x 3) 1/6)
(.f64 (neg.f64 (.f64 1/3 (pow.f64 x 3))) -1/2)
(*.f64 (pow.f64 x 3) 1/6)
(.f64 (/.f64 x 2) (.f64 1/3 (*.f64 x x)))
(*.f64 (pow.f64 x 3) 1/6)
(pow.f64 (.f64 (.f64 1/3 (pow.f64 x 3)) 1/2) 1)
(*.f64 (pow.f64 x 3) 1/6)
(pow.f64 (sqrt.f64 (.f64 (.f64 1/3 (pow.f64 x 3)) 1/2)) 2)
(*.f64 (pow.f64 x 3) 1/6)
(pow.f64 (cbrt.f64 (.f64 (.f64 1/3 (pow.f64 x 3)) 1/2)) 3)
(*.f64 (pow.f64 x 3) 1/6)
(pow.f64 (pow.f64 (.f64 (.f64 1/3 (pow.f64 x 3)) 1/2) 3) 1/3)
(*.f64 (pow.f64 x 3) 1/6)
(pow.f64 (/.f64 2 (*.f64 1/3 (pow.f64 x 3))) -1)
(*.f64 (pow.f64 x 3) 1/6)
(neg.f64 (/.f64 (*.f64 1/3 (pow.f64 x 3)) -2))
(*.f64 (pow.f64 x 3) 1/6)
(sqrt.f64 (.f64 (pow.f64 (.f64 1/3 (pow.f64 x 3)) 2) 1/4))
(sqrt.f64 (.f64 (pow.f64 (.f64 x x) 3) 1/36))
(fabs.f64 (*.f64 (pow.f64 x 3) 1/6))
(log.f64 (sqrt.f64 (exp.f64 (*.f64 1/3 (pow.f64 x 3)))))
(log.f64 (sqrt.f64 (pow.f64 (exp.f64 1/3) (pow.f64 x 3))))
(log.f64 (sqrt.f64 (cbrt.f64 (exp.f64 (pow.f64 x 3)))))
(log.f64 (+.f64 1 (expm1.f64 (.f64 (.f64 1/3 (pow.f64 x 3)) 1/2))))
(*.f64 (pow.f64 x 3) 1/6)
(cbrt.f64 (pow.f64 (.f64 (.f64 1/3 (pow.f64 x 3)) 1/2) 3))
(*.f64 (pow.f64 x 3) 1/6)
(expm1.f64 (log1p.f64 (.f64 (.f64 1/3 (pow.f64 x 3)) 1/2)))
(*.f64 (pow.f64 x 3) 1/6)
(exp.f64 (log.f64 (.f64 (.f64 1/3 (pow.f64 x 3)) 1/2)))
(*.f64 (pow.f64 x 3) 1/6)
(exp.f64 (.f64 (log.f64 (.f64 (*.f64 1/3 (pow.f64 x 3)) 1/2)) 1))
(*.f64 (pow.f64 x 3) 1/6)
(log1p.f64 (expm1.f64 (.f64 (.f64 1/3 (pow.f64 x 3)) 1/2)))
(*.f64 (pow.f64 x 3) 1/6)

localize16.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(.f64 x (+.f64 (.f64 x (*.f64 x 1/3)) 2))
✓	0.0b	(+.f64 (.f64 x (.f64 x 1/3)) 2)
✓	0.1b	(.f64 x (.f64 x 1/3))
	0.3b	(*.f64 x 1/3)

Compiler

Compiled 39 to 27 computations (30.8% saved)

series1.0ms (0%)

Counts

3 → 36

Calls

9 calls:

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

rewrite81.0ms (1.5%)

Algorithm

1×	batch-egg-rewrite

Rules

920×	`*-commutative`
768×	`unswap-sqr`
594×	`swap-sqr`
540×	`associate-*r/`
424×	`associate-*l/`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	49
1	201	49
2	2535	49

Stop Event

1×	node limit

Counts

3 → 159

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (exp.f64 (log1p.f64 (*.f64 1/3 (*.f64 x x)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 1/3 (*.f64 x x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (exp.f64 (log1p.f64 (*.f64 1/3 (*.f64 x x)))) (exp.f64 (log1p.f64 (*.f64 1/3 (*.f64 x x))))) 1) (+.f64 (exp.f64 (log1p.f64 (*.f64 1/3 (*.f64 x x)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 1/3 (*.f64 x x)) 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 1/3 (*.f64 x x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x (sqrt.f64 1/3)) 6) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 1/9 (pow.f64 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (*.f64 1/3 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 1/3 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 x (sqrt.f64 1/3)) 6))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 1/3 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 1/3 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 1/3 (*.f64 x x))))))))

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 1/3 (*.f64 x x)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 (*.f64 x x) 1/3 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 1/9 (pow.f64 x 4)) (fma.f64 (*.f64 x x) 1/3 -2)) (/.f64 4 (fma.f64 (*.f64 x x) 1/3 -2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 2 (exp.f64 (log1p.f64 (*.f64 1/3 (*.f64 x x))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 (*.f64 x x) 1/3 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 (*.f64 x x) 1/3 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 (*.f64 x x) 1/3 2)) (sqrt.f64 (fma.f64 (*.f64 x x) 1/3 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 (*.f64 x x) 1/3 2)) (pow.f64 (cbrt.f64 (fma.f64 (*.f64 x x) 1/3 2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 (*.f64 x x) 1/3 2)) 2) (cbrt.f64 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(#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 x (fma.f64 (*.f64 x x) 1/3 2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 x (fma.f64 (*.f64 x x) 1/3 2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x (fma.f64 (*.f64 x x) 1/3 2)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 x (fma.f64 (*.f64 x x) 1/3 2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 x) (fma.f64 (*.f64 x x) 1/3 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 x (fma.f64 (*.f64 x x) 1/3 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 x (fma.f64 (*.f64 x x) 1/3 2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (fma.f64 (*.f64 x x) 1/3 2) 3) (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 x (fma.f64 (*.f64 x x) 1/3 2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 x (fma.f64 (*.f64 x x) 1/3 2))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 x (fma.f64 (*.f64 x x) 1/3 2))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x (*.f64 1/3 (*.f64 x x)) (*.f64 x 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 1/3 (*.f64 x x)) x (*.f64 x 2))))))

simplify105.0ms (1.9%)

Algorithm

1×	egg-herbie

Rules

1588×	`associate-/r*`
1238×	`associate-*r/`
920×	`associate-*l/`
724×	`associate-/r/`
672×	`associate-/l/`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	411	8497
1	1073	7981
2	4061	7801

Stop Event

1×	node limit

Counts

195 → 262

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))
2
(+.f64 2 (*.f64 1/3 (pow.f64 x 2)))
(+.f64 2 (*.f64 1/3 (pow.f64 x 2)))
(+.f64 2 (*.f64 1/3 (pow.f64 x 2)))
(*.f64 1/3 (pow.f64 x 2))
(+.f64 2 (*.f64 1/3 (pow.f64 x 2)))
(+.f64 2 (*.f64 1/3 (pow.f64 x 2)))
(+.f64 2 (*.f64 1/3 (pow.f64 x 2)))
(*.f64 1/3 (pow.f64 x 2))
(+.f64 2 (*.f64 1/3 (pow.f64 x 2)))
(+.f64 2 (*.f64 1/3 (pow.f64 x 2)))
(+.f64 2 (*.f64 1/3 (pow.f64 x 2)))
(*.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 1/3 (.f64 x x)))) -1)
(-.f64 (exp.f64 (log1p.f64 (.f64 1/3 (.f64 x x)))) 1)
(/.f64 (-.f64 (.f64 (exp.f64 (log1p.f64 (.f64 1/3 (.f64 x x)))) (exp.f64 (log1p.f64 (.f64 1/3 (.f64 x x))))) 1) (+.f64 (exp.f64 (log1p.f64 (.f64 1/3 (*.f64 x x)))) 1))
(pow.f64 (.f64 1/3 (.f64 x x)) 1)
(pow.f64 (*.f64 x (sqrt.f64 1/3)) 2)
(pow.f64 (cbrt.f64 (.f64 1/3 (.f64 x x))) 3)
(pow.f64 (pow.f64 (*.f64 x (sqrt.f64 1/3)) 6) 1/3)
(sqrt.f64 (*.f64 1/9 (pow.f64 x 4)))
(log.f64 (exp.f64 (.f64 1/3 (.f64 x x))))
(log.f64 (+.f64 1 (expm1.f64 (.f64 1/3 (.f64 x x)))))
(cbrt.f64 (pow.f64 (*.f64 x (sqrt.f64 1/3)) 6))
(expm1.f64 (log1p.f64 (.f64 1/3 (.f64 x x))))
(exp.f64 (log.f64 (.f64 1/3 (.f64 x x))))
(log1p.f64 (expm1.f64 (.f64 1/3 (.f64 x x))))
(-.f64 (exp.f64 (log1p.f64 (.f64 1/3 (.f64 x x)))) -1)
(-.f64 (exp.f64 (log1p.f64 (fma.f64 (*.f64 x x) 1/3 2))) 1)
(-.f64 (/.f64 (.f64 1/9 (pow.f64 x 4)) (fma.f64 (.f64 x x) 1/3 -2)) (/.f64 4 (fma.f64 (*.f64 x x) 1/3 -2)))
(-.f64 (+.f64 2 (exp.f64 (log1p.f64 (.f64 1/3 (.f64 x x))))) 1)
(.f64 (fma.f64 (.f64 x x) 1/3 2) 1)
(.f64 1 (fma.f64 (.f64 x x) 1/3 2))
(.f64 (sqrt.f64 (fma.f64 (.f64 x x) 1/3 2)) (sqrt.f64 (fma.f64 (*.f64 x x) 1/3 2)))
(.f64 (cbrt.f64 (fma.f64 (.f64 x x) 1/3 2)) (pow.f64 (cbrt.f64 (fma.f64 (*.f64 x x) 1/3 2)) 2))
(.f64 (pow.f64 (cbrt.f64 (fma.f64 (.f64 x x) 1/3 2)) 2) (cbrt.f64 (fma.f64 (*.f64 x x) 1/3 2)))
(.f64 (+.f64 (.f64 1/9 (pow.f64 x 4)) -4) (/.f64 1 (fma.f64 (*.f64 x x) 1/3 -2)))
(.f64 (+.f64 8 (pow.f64 (.f64 x (sqrt.f64 1/3)) 6)) (/.f64 1 (+.f64 (.f64 1/9 (pow.f64 x 4)) (+.f64 4 (.f64 (*.f64 x x) -2/3)))))
(.f64 (-.f64 4 (.f64 1/9 (pow.f64 x 4))) (/.f64 1 (+.f64 2 (.f64 (.f64 x x) -1/3))))
(.f64 (/.f64 1 (fma.f64 (.f64 x x) 1/3 -2)) (+.f64 (*.f64 1/9 (pow.f64 x 4)) -4))
(.f64 (/.f64 1 (+.f64 (.f64 1/9 (pow.f64 x 4)) (+.f64 4 (.f64 (.f64 x x) -2/3)))) (+.f64 8 (pow.f64 (*.f64 x (sqrt.f64 1/3)) 6)))
(.f64 (+.f64 (neg.f64 (.f64 1/9 (pow.f64 x 4))) 4) (/.f64 1 (+.f64 (.f64 (.f64 x x) -1/3) 2)))
(.f64 (+.f64 -8 (neg.f64 (pow.f64 (.f64 x (sqrt.f64 1/3)) 6))) (/.f64 1 (neg.f64 (+.f64 (.f64 1/9 (pow.f64 x 4)) (+.f64 4 (.f64 (*.f64 x x) -2/3))))))
(.f64 (/.f64 (+.f64 (.f64 1/9 (pow.f64 x 4)) -4) (+.f64 (.f64 1/9 (pow.f64 x 4)) -4)) (fma.f64 (.f64 x x) 1/3 2))
(.f64 (/.f64 (+.f64 (.f64 1/9 (pow.f64 x 4)) -4) (+.f64 (pow.f64 (.f64 x (sqrt.f64 1/3)) 6) -8)) (+.f64 (.f64 1/9 (pow.f64 x 4)) (+.f64 4 (.f64 (.f64 x x) 2/3))))
(.f64 (/.f64 (+.f64 8 (pow.f64 (.f64 x (sqrt.f64 1/3)) 6)) (-.f64 (pow.f64 (.f64 1/3 (.f64 x x)) 4) (pow.f64 (+.f64 4 (.f64 (.f64 x x) -2/3)) 2))) (-.f64 (.f64 1/9 (pow.f64 x 4)) (+.f64 4 (.f64 (*.f64 x x) -2/3))))
(.f64 (/.f64 (+.f64 8 (pow.f64 (.f64 x (sqrt.f64 1/3)) 6)) (+.f64 (pow.f64 (.f64 1/9 (pow.f64 x 4)) 3) (pow.f64 (+.f64 4 (.f64 (.f64 x x) -2/3)) 3))) (+.f64 (pow.f64 (.f64 1/3 (.f64 x x)) 4) (.f64 (+.f64 4 (.f64 (.f64 x x) -2/3)) (-.f64 (+.f64 4 (.f64 (.f64 x x) -2/3)) (*.f64 1/9 (pow.f64 x 4))))))
(.f64 (.f64 (sqrt.f64 (cbrt.f64 (fma.f64 (.f64 x x) 1/3 2))) (cbrt.f64 (fma.f64 (.f64 x x) 1/3 2))) (.f64 (sqrt.f64 (cbrt.f64 (fma.f64 (.f64 x x) 1/3 2))) (cbrt.f64 (fma.f64 (*.f64 x x) 1/3 2))))
(.f64 (.f64 (cbrt.f64 (sqrt.f64 (fma.f64 (.f64 x x) 1/3 2))) (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 (.f64 x x) 1/3 2)) 2))) (.f64 (cbrt.f64 (sqrt.f64 (fma.f64 (.f64 x x) 1/3 2))) (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 (*.f64 x x) 1/3 2)) 2))))
(.f64 (.f64 (cbrt.f64 (fma.f64 (.f64 x x) 1/3 2)) (sqrt.f64 (cbrt.f64 (fma.f64 (.f64 x x) 1/3 2)))) (.f64 (cbrt.f64 (fma.f64 (.f64 x x) 1/3 2)) (sqrt.f64 (cbrt.f64 (fma.f64 (*.f64 x x) 1/3 2)))))
(.f64 (.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 (.f64 x x) 1/3 2)) 2)) (cbrt.f64 (sqrt.f64 (fma.f64 (.f64 x x) 1/3 2)))) (.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 (.f64 x x) 1/3 2)) 2)) (cbrt.f64 (sqrt.f64 (fma.f64 (*.f64 x x) 1/3 2)))))
(.f64 (pow.f64 (cbrt.f64 (fma.f64 (.f64 x x) 1/3 2)) 3/2) (pow.f64 (cbrt.f64 (fma.f64 (*.f64 x x) 1/3 2)) 3/2))
(.f64 (pow.f64 (pow.f64 (fma.f64 (.f64 x x) 1/3 2) 3) 1/6) (pow.f64 (pow.f64 (fma.f64 (*.f64 x x) 1/3 2) 3) 1/6))
(/.f64 1 (/.f64 1 (fma.f64 (*.f64 x x) 1/3 2)))
(/.f64 1 (/.f64 (/.f64 1 (fma.f64 (*.f64 x x) 1/3 2)) 1))
(/.f64 1 (/.f64 (+.f64 2 (.f64 (.f64 x x) -1/3)) (-.f64 4 (*.f64 1/9 (pow.f64 x 4)))))
(/.f64 1 (/.f64 (+.f64 (.f64 (.f64 x x) -1/3) 2) (+.f64 (neg.f64 (*.f64 1/9 (pow.f64 x 4))) 4)))
(/.f64 1 (/.f64 (neg.f64 (+.f64 (.f64 1/9 (pow.f64 x 4)) (+.f64 4 (.f64 (.f64 x x) -2/3)))) (+.f64 -8 (neg.f64 (pow.f64 (.f64 x (sqrt.f64 1/3)) 6)))))
(/.f64 (+.f64 (.f64 1/9 (pow.f64 x 4)) -4) (fma.f64 (.f64 x x) 1/3 -2))
(/.f64 (+.f64 8 (pow.f64 (.f64 x (sqrt.f64 1/3)) 6)) (+.f64 (.f64 1/9 (pow.f64 x 4)) (+.f64 4 (.f64 (.f64 x x) -2/3))))
(/.f64 (sqrt.f64 (+.f64 (.f64 1/9 (pow.f64 x 4)) -4)) (/.f64 (fma.f64 (.f64 x x) 1/3 -2) (sqrt.f64 (+.f64 (*.f64 1/9 (pow.f64 x 4)) -4))))
(/.f64 (sqrt.f64 (+.f64 8 (pow.f64 (.f64 x (sqrt.f64 1/3)) 6))) (/.f64 (+.f64 (.f64 1/9 (pow.f64 x 4)) (+.f64 4 (.f64 (.f64 x x) -2/3))) (sqrt.f64 (+.f64 8 (pow.f64 (*.f64 x (sqrt.f64 1/3)) 6)))))
(/.f64 (.f64 (cbrt.f64 (+.f64 (.f64 1/9 (pow.f64 x 4)) -4)) (cbrt.f64 (+.f64 (.f64 1/9 (pow.f64 x 4)) -4))) (/.f64 (fma.f64 (.f64 x x) 1/3 -2) (cbrt.f64 (+.f64 (*.f64 1/9 (pow.f64 x 4)) -4))))
(/.f64 (.f64 (cbrt.f64 (+.f64 8 (pow.f64 (.f64 x (sqrt.f64 1/3)) 6))) (cbrt.f64 (+.f64 8 (pow.f64 (.f64 x (sqrt.f64 1/3)) 6)))) (/.f64 (+.f64 (.f64 1/9 (pow.f64 x 4)) (+.f64 4 (.f64 (.f64 x x) -2/3))) (cbrt.f64 (+.f64 8 (pow.f64 (*.f64 x (sqrt.f64 1/3)) 6)))))
(/.f64 (-.f64 4 (.f64 1/9 (pow.f64 x 4))) (+.f64 2 (.f64 (*.f64 x x) -1/3)))
(/.f64 (+.f64 (pow.f64 (.f64 1/3 (.f64 x x)) 6) -64) (.f64 (+.f64 (.f64 1/9 (pow.f64 x 4)) (+.f64 4 (.f64 (.f64 x x) -2/3))) (+.f64 (pow.f64 (*.f64 x (sqrt.f64 1/3)) 6) -8)))
(/.f64 (+.f64 (pow.f64 (.f64 1/3 (.f64 x x)) 4) -16) (.f64 (fma.f64 (.f64 x x) 1/3 -2) (+.f64 (*.f64 1/9 (pow.f64 x 4)) 4)))
(/.f64 (+.f64 512 (pow.f64 (pow.f64 (.f64 x (sqrt.f64 1/3)) 6) 3)) (.f64 (+.f64 (.f64 1/9 (pow.f64 x 4)) (+.f64 4 (.f64 (.f64 x x) -2/3))) (-.f64 (+.f64 (pow.f64 (.f64 1/3 (.f64 x x)) 6) 64) (.f64 8 (pow.f64 (*.f64 x (sqrt.f64 1/3)) 6)))))
(/.f64 (+.f64 (pow.f64 (.f64 1/9 (pow.f64 x 4)) 3) -64) (.f64 (fma.f64 (.f64 x x) 1/3 -2) (+.f64 (pow.f64 (.f64 1/3 (.f64 x x)) 4) (+.f64 16 (.f64 (pow.f64 x 4) 4/9)))))
(/.f64 (+.f64 (neg.f64 (.f64 1/9 (pow.f64 x 4))) 4) (+.f64 (.f64 (*.f64 x x) -1/3) 2))
(/.f64 (+.f64 -8 (neg.f64 (pow.f64 (.f64 x (sqrt.f64 1/3)) 6))) (neg.f64 (+.f64 (.f64 1/9 (pow.f64 x 4)) (+.f64 4 (.f64 (.f64 x x) -2/3)))))
(/.f64 (.f64 1 (-.f64 4 (.f64 1/9 (pow.f64 x 4)))) (+.f64 2 (.f64 (.f64 x x) -1/3)))
(/.f64 (.f64 (sqrt.f64 (fma.f64 (.f64 x x) 1/3 2)) (sqrt.f64 (+.f64 (.f64 1/9 (pow.f64 x 4)) -4))) (sqrt.f64 (fma.f64 (.f64 x x) 1/3 -2)))
(/.f64 (.f64 (sqrt.f64 (fma.f64 (.f64 x x) 1/3 2)) (sqrt.f64 (+.f64 8 (pow.f64 (.f64 x (sqrt.f64 1/3)) 6)))) (sqrt.f64 (+.f64 (.f64 1/9 (pow.f64 x 4)) (+.f64 4 (.f64 (.f64 x x) -2/3)))))
(/.f64 (.f64 (pow.f64 (cbrt.f64 (fma.f64 (.f64 x x) 1/3 2)) 2) (cbrt.f64 (+.f64 (.f64 1/9 (pow.f64 x 4)) -4))) (cbrt.f64 (fma.f64 (.f64 x x) 1/3 -2)))
(/.f64 (.f64 (pow.f64 (cbrt.f64 (fma.f64 (.f64 x x) 1/3 2)) 2) (cbrt.f64 (+.f64 8 (pow.f64 (.f64 x (sqrt.f64 1/3)) 6)))) (cbrt.f64 (+.f64 (.f64 1/9 (pow.f64 x 4)) (+.f64 4 (.f64 (.f64 x x) -2/3)))))
(/.f64 (.f64 (-.f64 4 (.f64 1/9 (pow.f64 x 4))) 1) (+.f64 2 (.f64 (.f64 x x) -1/3)))
(/.f64 (.f64 (+.f64 (neg.f64 (.f64 1/9 (pow.f64 x 4))) 4) 1) (+.f64 (.f64 (.f64 x x) -1/3) 2))
(/.f64 (.f64 (+.f64 -8 (neg.f64 (pow.f64 (.f64 x (sqrt.f64 1/3)) 6))) 1) (neg.f64 (+.f64 (.f64 1/9 (pow.f64 x 4)) (+.f64 4 (.f64 (*.f64 x x) -2/3)))))
(/.f64 (.f64 (sqrt.f64 (+.f64 (.f64 1/9 (pow.f64 x 4)) -4)) (sqrt.f64 (fma.f64 (.f64 x x) 1/3 2))) (sqrt.f64 (fma.f64 (.f64 x x) 1/3 -2)))
(/.f64 (.f64 (sqrt.f64 (+.f64 8 (pow.f64 (.f64 x (sqrt.f64 1/3)) 6))) (sqrt.f64 (fma.f64 (.f64 x x) 1/3 2))) (sqrt.f64 (+.f64 (.f64 1/9 (pow.f64 x 4)) (+.f64 4 (.f64 (.f64 x x) -2/3)))))
(/.f64 (.f64 (cbrt.f64 (+.f64 (.f64 1/9 (pow.f64 x 4)) -4)) (pow.f64 (cbrt.f64 (fma.f64 (.f64 x x) 1/3 2)) 2)) (cbrt.f64 (fma.f64 (.f64 x x) 1/3 -2)))
(/.f64 (.f64 (cbrt.f64 (+.f64 8 (pow.f64 (.f64 x (sqrt.f64 1/3)) 6))) (pow.f64 (cbrt.f64 (fma.f64 (.f64 x x) 1/3 2)) 2)) (cbrt.f64 (+.f64 (.f64 1/9 (pow.f64 x 4)) (+.f64 4 (.f64 (.f64 x x) -2/3)))))
(/.f64 (.f64 (+.f64 (pow.f64 (.f64 1/3 (.f64 x x)) 4) -16) (/.f64 1 (fma.f64 (.f64 x x) 1/3 -2))) (+.f64 (*.f64 1/9 (pow.f64 x 4)) 4))
(/.f64 (.f64 (+.f64 (pow.f64 (.f64 1/9 (pow.f64 x 4)) 3) -64) (/.f64 1 (fma.f64 (.f64 x x) 1/3 -2))) (+.f64 (pow.f64 (.f64 1/3 (.f64 x x)) 4) (+.f64 16 (.f64 (pow.f64 x 4) 4/9))))
(/.f64 (.f64 (+.f64 (pow.f64 (.f64 1/3 (.f64 x x)) 6) -64) (/.f64 1 (+.f64 (.f64 1/9 (pow.f64 x 4)) (+.f64 4 (.f64 (.f64 x x) -2/3))))) (+.f64 (pow.f64 (*.f64 x (sqrt.f64 1/3)) 6) -8))
(/.f64 (.f64 (+.f64 512 (pow.f64 (pow.f64 (.f64 x (sqrt.f64 1/3)) 6) 3)) (/.f64 1 (+.f64 (.f64 1/9 (pow.f64 x 4)) (+.f64 4 (.f64 (.f64 x x) -2/3))))) (-.f64 (+.f64 (pow.f64 (.f64 1/3 (.f64 x x)) 6) 64) (.f64 8 (pow.f64 (*.f64 x (sqrt.f64 1/3)) 6))))
(/.f64 (/.f64 (+.f64 (.f64 1/9 (pow.f64 x 4)) -4) 1) (fma.f64 (.f64 x x) 1/3 -2))
(/.f64 (/.f64 (+.f64 (.f64 1/9 (pow.f64 x 4)) -4) (sqrt.f64 (fma.f64 (.f64 x x) 1/3 -2))) (sqrt.f64 (fma.f64 (*.f64 x x) 1/3 -2)))
(/.f64 (/.f64 (+.f64 (.f64 1/9 (pow.f64 x 4)) -4) (.f64 (cbrt.f64 (fma.f64 (.f64 x x) 1/3 -2)) (cbrt.f64 (fma.f64 (.f64 x x) 1/3 -2)))) (cbrt.f64 (fma.f64 (*.f64 x x) 1/3 -2)))
(/.f64 (/.f64 (+.f64 8 (pow.f64 (.f64 x (sqrt.f64 1/3)) 6)) 1) (+.f64 (.f64 1/9 (pow.f64 x 4)) (+.f64 4 (.f64 (.f64 x x) -2/3))))
(/.f64 (/.f64 (+.f64 8 (pow.f64 (.f64 x (sqrt.f64 1/3)) 6)) (sqrt.f64 (+.f64 (.f64 1/9 (pow.f64 x 4)) (+.f64 4 (.f64 (.f64 x x) -2/3))))) (sqrt.f64 (+.f64 (.f64 1/9 (pow.f64 x 4)) (+.f64 4 (.f64 (*.f64 x x) -2/3)))))
(/.f64 (/.f64 (+.f64 8 (pow.f64 (.f64 x (sqrt.f64 1/3)) 6)) (.f64 (cbrt.f64 (+.f64 (.f64 1/9 (pow.f64 x 4)) (+.f64 4 (.f64 (.f64 x x) -2/3)))) (cbrt.f64 (+.f64 (.f64 1/9 (pow.f64 x 4)) (+.f64 4 (.f64 (.f64 x x) -2/3)))))) (cbrt.f64 (+.f64 (.f64 1/9 (pow.f64 x 4)) (+.f64 4 (.f64 (*.f64 x x) -2/3)))))
(/.f64 (-.f64 (.f64 (exp.f64 (log1p.f64 (fma.f64 (.f64 x x) 1/3 2))) (exp.f64 (log1p.f64 (fma.f64 (.f64 x x) 1/3 2)))) 1) (+.f64 (exp.f64 (log1p.f64 (fma.f64 (.f64 x x) 1/3 2))) 1))
(/.f64 (-.f64 (.f64 (/.f64 (.f64 1/9 (pow.f64 x 4)) (fma.f64 (.f64 x x) 1/3 -2)) (/.f64 (.f64 1/9 (pow.f64 x 4)) (fma.f64 (.f64 x x) 1/3 -2))) (.f64 (/.f64 4 (fma.f64 (.f64 x x) 1/3 -2)) (/.f64 4 (fma.f64 (.f64 x x) 1/3 -2)))) (+.f64 (/.f64 (.f64 1/9 (pow.f64 x 4)) (fma.f64 (.f64 x x) 1/3 -2)) (/.f64 4 (fma.f64 (*.f64 x x) 1/3 -2))))
(pow.f64 (fma.f64 (*.f64 x x) 1/3 2) 1)
(pow.f64 (sqrt.f64 (fma.f64 (*.f64 x x) 1/3 2)) 2)
(pow.f64 (cbrt.f64 (fma.f64 (*.f64 x x) 1/3 2)) 3)
(pow.f64 (pow.f64 (fma.f64 (*.f64 x x) 1/3 2) 3) 1/3)
(neg.f64 (/.f64 (+.f64 (.f64 1/9 (pow.f64 x 4)) -4) (+.f64 (.f64 (*.f64 x x) -1/3) 2)))
(neg.f64 (/.f64 (+.f64 8 (pow.f64 (.f64 x (sqrt.f64 1/3)) 6)) (neg.f64 (+.f64 (.f64 1/9 (pow.f64 x 4)) (+.f64 4 (.f64 (.f64 x x) -2/3))))))
(sqrt.f64 (pow.f64 (fma.f64 (*.f64 x x) 1/3 2) 2))
(log.f64 (exp.f64 (fma.f64 (*.f64 x x) 1/3 2)))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 (*.f64 x x) 1/3 2))))
(cbrt.f64 (pow.f64 (fma.f64 (*.f64 x x) 1/3 2) 3))
(expm1.f64 (log1p.f64 (fma.f64 (*.f64 x x) 1/3 2)))
(exp.f64 (log.f64 (fma.f64 (*.f64 x x) 1/3 2)))
(log1p.f64 (expm1.f64 (fma.f64 (*.f64 x x) 1/3 2)))
(fma.f64 x (*.f64 x 1/3) 2)
(fma.f64 (*.f64 x 1/3) x 2)
(fma.f64 1 (.f64 1/3 (.f64 x x)) 2)
(fma.f64 (.f64 x (sqrt.f64 1/3)) (.f64 x (sqrt.f64 1/3)) 2)
(fma.f64 (cbrt.f64 (.f64 1/9 (pow.f64 x 4))) (cbrt.f64 (.f64 1/3 (*.f64 x x))) 2)
(fma.f64 (*.f64 x x) 1/3 2)
(+.f64 (.f64 1/3 (pow.f64 x 3)) (.f64 x 2))
(+.f64 (.f64 x 2) (.f64 1/3 (pow.f64 x 3)))
(+.f64 (exp.f64 (log1p.f64 (.f64 x (fma.f64 (.f64 x x) 1/3 2)))) -1)
(-.f64 (exp.f64 (log1p.f64 (.f64 x (fma.f64 (.f64 x x) 1/3 2)))) 1)
(/.f64 x (/.f64 1 (fma.f64 (*.f64 x x) 1/3 2)))
(/.f64 1 (/.f64 (fma.f64 (.f64 x x) 1/3 -2) (.f64 x (+.f64 (*.f64 1/9 (pow.f64 x 4)) -4))))
(/.f64 1 (/.f64 (+.f64 (.f64 1/9 (pow.f64 x 4)) (+.f64 4 (.f64 (.f64 x x) -2/3))) (.f64 x (+.f64 8 (pow.f64 (*.f64 x (sqrt.f64 1/3)) 6)))))
(/.f64 1 (/.f64 (.f64 x (fma.f64 (.f64 x x) 1/3 -2)) (-.f64 (.f64 (pow.f64 x 6) 1/9) (.f64 (*.f64 x x) 4))))
(/.f64 1 (/.f64 (+.f64 (.f64 (pow.f64 x 6) 1/9) (.f64 (.f64 x 2) (-.f64 (.f64 x 2) (.f64 1/3 (pow.f64 x 3))))) (+.f64 (pow.f64 (.f64 1/3 (pow.f64 x 3)) 3) (pow.f64 (*.f64 x 2) 3))))
(/.f64 (+.f64 (.f64 1/9 (pow.f64 x 4)) -4) (/.f64 (fma.f64 (.f64 x x) 1/3 -2) x))
(/.f64 (+.f64 8 (pow.f64 (.f64 x (sqrt.f64 1/3)) 6)) (/.f64 (+.f64 (.f64 1/9 (pow.f64 x 4)) (+.f64 4 (.f64 (.f64 x x) -2/3))) x))
(/.f64 (.f64 x (+.f64 (.f64 1/9 (pow.f64 x 4)) -4)) (fma.f64 (*.f64 x x) 1/3 -2))
(/.f64 (.f64 x (+.f64 8 (pow.f64 (.f64 x (sqrt.f64 1/3)) 6))) (+.f64 (.f64 1/9 (pow.f64 x 4)) (+.f64 4 (.f64 (*.f64 x x) -2/3))))
(/.f64 (-.f64 (.f64 (pow.f64 x 6) 1/9) (.f64 (.f64 x x) 4)) (.f64 x (fma.f64 (*.f64 x x) 1/3 -2)))
(/.f64 (+.f64 (pow.f64 (.f64 1/3 (pow.f64 x 3)) 3) (pow.f64 (.f64 x 2) 3)) (+.f64 (.f64 (pow.f64 x 6) 1/9) (.f64 (.f64 x 2) (-.f64 (.f64 x 2) (*.f64 1/3 (pow.f64 x 3))))))
(/.f64 (+.f64 (pow.f64 (.f64 1/3 (pow.f64 x 3)) 3) (pow.f64 (.f64 x 2) 3)) (+.f64 (.f64 (.f64 x x) 4) (-.f64 (.f64 (pow.f64 x 6) 1/9) (.f64 (.f64 1/3 (pow.f64 x 3)) (.f64 x 2)))))
(/.f64 (.f64 x (-.f64 4 (.f64 1/9 (pow.f64 x 4)))) (+.f64 2 (.f64 (.f64 x x) -1/3)))
(/.f64 (.f64 x (+.f64 (neg.f64 (.f64 1/9 (pow.f64 x 4))) 4)) (+.f64 (.f64 (.f64 x x) -1/3) 2))
(/.f64 (.f64 x (+.f64 -8 (neg.f64 (pow.f64 (.f64 x (sqrt.f64 1/3)) 6)))) (neg.f64 (+.f64 (.f64 1/9 (pow.f64 x 4)) (+.f64 4 (.f64 (*.f64 x x) -2/3)))))
(/.f64 (.f64 1 (.f64 x (+.f64 (.f64 1/9 (pow.f64 x 4)) -4))) (fma.f64 (.f64 x x) 1/3 -2))
(/.f64 (.f64 1 (.f64 x (+.f64 8 (pow.f64 (.f64 x (sqrt.f64 1/3)) 6)))) (+.f64 (.f64 1/9 (pow.f64 x 4)) (+.f64 4 (.f64 (.f64 x x) -2/3))))
(/.f64 (.f64 1 (-.f64 (.f64 (pow.f64 x 6) 1/9) (.f64 (.f64 x x) 4))) (.f64 x (fma.f64 (.f64 x x) 1/3 -2)))
(/.f64 (.f64 1 (+.f64 (pow.f64 (.f64 1/3 (pow.f64 x 3)) 3) (pow.f64 (.f64 x 2) 3))) (+.f64 (.f64 (pow.f64 x 6) 1/9) (.f64 (.f64 x 2) (-.f64 (.f64 x 2) (.f64 1/3 (pow.f64 x 3))))))
(/.f64 (.f64 (.f64 x (sqrt.f64 (fma.f64 (.f64 x x) 1/3 2))) (sqrt.f64 (+.f64 (.f64 1/9 (pow.f64 x 4)) -4))) (sqrt.f64 (fma.f64 (*.f64 x x) 1/3 -2)))
(/.f64 (.f64 (.f64 x (sqrt.f64 (fma.f64 (.f64 x x) 1/3 2))) (sqrt.f64 (+.f64 8 (pow.f64 (.f64 x (sqrt.f64 1/3)) 6)))) (sqrt.f64 (+.f64 (.f64 1/9 (pow.f64 x 4)) (+.f64 4 (.f64 (*.f64 x x) -2/3)))))
(/.f64 (.f64 (.f64 x (pow.f64 (cbrt.f64 (fma.f64 (.f64 x x) 1/3 2)) 2)) (cbrt.f64 (+.f64 (.f64 1/9 (pow.f64 x 4)) -4))) (cbrt.f64 (fma.f64 (*.f64 x x) 1/3 -2)))
(/.f64 (.f64 (.f64 x (pow.f64 (cbrt.f64 (fma.f64 (.f64 x x) 1/3 2)) 2)) (cbrt.f64 (+.f64 8 (pow.f64 (.f64 x (sqrt.f64 1/3)) 6)))) (cbrt.f64 (+.f64 (.f64 1/9 (pow.f64 x 4)) (+.f64 4 (.f64 (*.f64 x x) -2/3)))))
(/.f64 (.f64 (-.f64 4 (.f64 1/9 (pow.f64 x 4))) x) (+.f64 2 (.f64 (.f64 x x) -1/3)))
(/.f64 (.f64 (+.f64 (neg.f64 (.f64 1/9 (pow.f64 x 4))) 4) x) (+.f64 (.f64 (.f64 x x) -1/3) 2))
(/.f64 (.f64 (+.f64 -8 (neg.f64 (pow.f64 (.f64 x (sqrt.f64 1/3)) 6))) x) (neg.f64 (+.f64 (.f64 1/9 (pow.f64 x 4)) (+.f64 4 (.f64 (*.f64 x x) -2/3)))))
(/.f64 (.f64 (.f64 x (+.f64 (.f64 1/9 (pow.f64 x 4)) -4)) 1) (fma.f64 (.f64 x x) 1/3 -2))
(/.f64 (.f64 (.f64 x (+.f64 8 (pow.f64 (.f64 x (sqrt.f64 1/3)) 6))) 1) (+.f64 (.f64 1/9 (pow.f64 x 4)) (+.f64 4 (.f64 (.f64 x x) -2/3))))
(/.f64 (.f64 (-.f64 (.f64 (pow.f64 x 6) 1/9) (.f64 (.f64 x x) 4)) 1) (.f64 x (fma.f64 (.f64 x x) 1/3 -2)))
(/.f64 (.f64 (+.f64 (pow.f64 (.f64 1/3 (pow.f64 x 3)) 3) (pow.f64 (.f64 x 2) 3)) 1) (+.f64 (.f64 (pow.f64 x 6) 1/9) (.f64 (.f64 x 2) (-.f64 (.f64 x 2) (.f64 1/3 (pow.f64 x 3))))))
(/.f64 (.f64 (sqrt.f64 (+.f64 (.f64 1/9 (pow.f64 x 4)) -4)) (.f64 x (sqrt.f64 (fma.f64 (.f64 x x) 1/3 2)))) (sqrt.f64 (fma.f64 (*.f64 x x) 1/3 -2)))
(/.f64 (.f64 (sqrt.f64 (+.f64 8 (pow.f64 (.f64 x (sqrt.f64 1/3)) 6))) (.f64 x (sqrt.f64 (fma.f64 (.f64 x x) 1/3 2)))) (sqrt.f64 (+.f64 (.f64 1/9 (pow.f64 x 4)) (+.f64 4 (.f64 (*.f64 x x) -2/3)))))
(/.f64 (/.f64 (.f64 x (+.f64 (.f64 1/9 (pow.f64 x 4)) -4)) 1) (fma.f64 (*.f64 x x) 1/3 -2))
(/.f64 (/.f64 (.f64 x (+.f64 (.f64 1/9 (pow.f64 x 4)) -4)) (sqrt.f64 (fma.f64 (.f64 x x) 1/3 -2))) (sqrt.f64 (fma.f64 (.f64 x x) 1/3 -2)))
(/.f64 (/.f64 (.f64 x (+.f64 (.f64 1/9 (pow.f64 x 4)) -4)) (.f64 (cbrt.f64 (fma.f64 (.f64 x x) 1/3 -2)) (cbrt.f64 (fma.f64 (.f64 x x) 1/3 -2)))) (cbrt.f64 (fma.f64 (.f64 x x) 1/3 -2)))
(/.f64 (/.f64 (.f64 x (+.f64 8 (pow.f64 (.f64 x (sqrt.f64 1/3)) 6))) 1) (+.f64 (.f64 1/9 (pow.f64 x 4)) (+.f64 4 (.f64 (*.f64 x x) -2/3))))
(/.f64 (/.f64 (.f64 x (+.f64 8 (pow.f64 (.f64 x (sqrt.f64 1/3)) 6))) (sqrt.f64 (+.f64 (.f64 1/9 (pow.f64 x 4)) (+.f64 4 (.f64 (.f64 x x) -2/3))))) (sqrt.f64 (+.f64 (.f64 1/9 (pow.f64 x 4)) (+.f64 4 (.f64 (.f64 x x) -2/3)))))
(/.f64 (/.f64 (.f64 x (+.f64 8 (pow.f64 (.f64 x (sqrt.f64 1/3)) 6))) (.f64 (cbrt.f64 (+.f64 (.f64 1/9 (pow.f64 x 4)) (+.f64 4 (.f64 (.f64 x x) -2/3)))) (cbrt.f64 (+.f64 (.f64 1/9 (pow.f64 x 4)) (+.f64 4 (.f64 (.f64 x x) -2/3)))))) (cbrt.f64 (+.f64 (.f64 1/9 (pow.f64 x 4)) (+.f64 4 (.f64 (.f64 x x) -2/3)))))
(/.f64 (-.f64 (.f64 (.f64 x x) 4) (.f64 (pow.f64 x 6) 1/9)) (-.f64 (.f64 x 2) (*.f64 1/3 (pow.f64 x 3))))
(/.f64 (-.f64 (.f64 (exp.f64 (log1p.f64 (.f64 x (fma.f64 (.f64 x x) 1/3 2)))) (exp.f64 (log1p.f64 (.f64 x (fma.f64 (.f64 x x) 1/3 2))))) 1) (+.f64 (exp.f64 (log1p.f64 (.f64 x (fma.f64 (*.f64 x x) 1/3 2)))) 1))
(pow.f64 (.f64 x (fma.f64 (.f64 x x) 1/3 2)) 1)
(pow.f64 (sqrt.f64 (.f64 x (fma.f64 (.f64 x x) 1/3 2))) 2)
(pow.f64 (cbrt.f64 (.f64 x (fma.f64 (.f64 x x) 1/3 2))) 3)
(pow.f64 (pow.f64 (.f64 x (fma.f64 (.f64 x x) 1/3 2)) 3) 1/3)
(sqrt.f64 (pow.f64 (.f64 x (fma.f64 (.f64 x x) 1/3 2)) 2))
(log.f64 (pow.f64 (exp.f64 x) (fma.f64 (*.f64 x x) 1/3 2)))
(log.f64 (+.f64 1 (expm1.f64 (.f64 x (fma.f64 (.f64 x x) 1/3 2)))))
(cbrt.f64 (pow.f64 (.f64 x (fma.f64 (.f64 x x) 1/3 2)) 3))
(cbrt.f64 (.f64 (pow.f64 (fma.f64 (.f64 x x) 1/3 2) 3) (pow.f64 x 3)))
(expm1.f64 (log1p.f64 (.f64 x (fma.f64 (.f64 x x) 1/3 2))))
(exp.f64 (log.f64 (.f64 x (fma.f64 (.f64 x x) 1/3 2))))
(log1p.f64 (expm1.f64 (.f64 x (fma.f64 (.f64 x x) 1/3 2))))
(fma.f64 x (.f64 1/3 (.f64 x x)) (*.f64 x 2))
(fma.f64 (.f64 1/3 (.f64 x x)) x (*.f64 x 2))

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

localize77.0ms (1.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (.f64 (.f64 x (.f64 x 1/3)) x) (.f64 2 x))
✓	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	@	inf	(+.f64 (.f64 (.f64 x (.f64 x 1/3)) x) (.f64 2 x))
0.0ms	x	@	0	(+.f64 (.f64 (.f64 x (.f64 x 1/3)) x) (.f64 2 x))
0.0ms	x	@	0	(.f64 (.f64 x (*.f64 x 1/3)) x)
0.0ms	x	@	-inf	(+.f64 (.f64 (.f64 x (.f64 x 1/3)) x) (.f64 2 x))
0.0ms	x	@	-inf	(.f64 (.f64 x (*.f64 x 1/3)) x)

rewrite141.0ms (2.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1038×	`*-commutative`
846×	`unswap-sqr`
670×	`swap-sqr`
472×	`distribute-lft-in`
458×	`distribute-rgt-in`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	44
1	217	34
2	2764	34

Stop Event

1×	node limit

Counts

2 → 111

Calls

Call 1

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

Outputs

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

simplify96.0ms (1.8%)

Algorithm

1×	egg-herbie

Rules

1648×	`associate-*r/`
1374×	`associate-*l/`
654×	`associate-/l/`
598×	`associate-r`
566×	`associate-/r/`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	315	6909
1	951	6457
2	4251	6443

Stop Event

1×	node limit

Counts

135 → 187

Calls

Call 1

Inputs
(*.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 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 1/3 (pow.f64 x 3)))) 1)
(pow.f64 (*.f64 1/3 (pow.f64 x 3)) 1)
(pow.f64 (sqrt.f64 (*.f64 1/3 (pow.f64 x 3))) 2)
(pow.f64 (cbrt.f64 (*.f64 1/3 (pow.f64 x 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 (exp.f64 (*.f64 1/3 (pow.f64 x 3))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 1/3 (pow.f64 x 3)))))
(cbrt.f64 (pow.f64 (*.f64 1/3 (pow.f64 x 3)) 3))
(expm1.f64 (log1p.f64 (*.f64 1/3 (pow.f64 x 3))))
(exp.f64 (log.f64 (*.f64 1/3 (pow.f64 x 3))))
(log1p.f64 (expm1.f64 (*.f64 1/3 (pow.f64 x 3))))
(-.f64 (exp.f64 (log1p.f64 (.f64 x 2))) (-.f64 1 (.f64 1/3 (pow.f64 x 3))))
(-.f64 (exp.f64 (log1p.f64 (.f64 x (fma.f64 (.f64 x x) 1/3 2)))) 1)
(-.f64 (exp.f64 (log1p.f64 (.f64 1/3 (pow.f64 x 3)))) (-.f64 1 (.f64 x 2)))
(-.f64 (/.f64 (.f64 (pow.f64 x 6) 1/9) (+.f64 (.f64 1/3 (pow.f64 x 3)) (.f64 x -2))) (/.f64 (.f64 4 (.f64 x x)) (+.f64 (.f64 1/3 (pow.f64 x 3)) (*.f64 x -2))))
(-.f64 (+.f64 (.f64 1/3 (pow.f64 x 3)) (exp.f64 (log1p.f64 (.f64 x 2)))) 1)
(-.f64 (+.f64 (.f64 x 2) (exp.f64 (log1p.f64 (.f64 1/3 (pow.f64 x 3))))) 1)
(.f64 x (fma.f64 (.f64 x x) 1/3 2))
(.f64 (.f64 x (fma.f64 (*.f64 x x) 1/3 2)) 1)
(.f64 1 (.f64 x (fma.f64 (*.f64 x x) 1/3 2)))
(.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) (fma.f64 (*.f64 x x) 1/3 2)))
(.f64 (sqrt.f64 (.f64 x (fma.f64 (.f64 x x) 1/3 2))) (sqrt.f64 (.f64 x (fma.f64 (*.f64 x x) 1/3 2))))
(.f64 (cbrt.f64 x) (+.f64 (.f64 (.f64 x (.f64 x 1/3)) (pow.f64 (cbrt.f64 x) 2)) (*.f64 2 (pow.f64 (cbrt.f64 x) 2))))
(.f64 (cbrt.f64 x) (+.f64 (.f64 2 (pow.f64 (cbrt.f64 x) 2)) (.f64 (.f64 x (*.f64 x 1/3)) (pow.f64 (cbrt.f64 x) 2))))
(.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 (cbrt.f64 x) (fma.f64 (*.f64 x x) 1/3 2)))
(.f64 (cbrt.f64 (.f64 x (fma.f64 (.f64 x x) 1/3 2))) (pow.f64 (cbrt.f64 (.f64 x (fma.f64 (*.f64 x x) 1/3 2))) 2))
(.f64 (pow.f64 (cbrt.f64 (.f64 x (fma.f64 (.f64 x x) 1/3 2))) 2) (cbrt.f64 (.f64 x (fma.f64 (*.f64 x x) 1/3 2))))
(.f64 (fma.f64 (.f64 x x) 1/3 2) x)
(.f64 (-.f64 (.f64 (pow.f64 x 6) 1/9) (.f64 4 (.f64 x x))) (/.f64 1 (+.f64 (.f64 1/3 (pow.f64 x 3)) (.f64 x -2))))
(.f64 (+.f64 (pow.f64 (.f64 1/3 (pow.f64 x 3)) 3) (.f64 8 (pow.f64 x 3))) (/.f64 1 (+.f64 (.f64 (pow.f64 x 6) 1/9) (.f64 (.f64 x 2) (+.f64 (.f64 x 2) (.f64 (pow.f64 x 3) -1/3))))))
(.f64 (.f64 (sqrt.f64 x) (fma.f64 (*.f64 x x) 1/3 2)) (sqrt.f64 x))
(.f64 (.f64 (cbrt.f64 x) (fma.f64 (*.f64 x x) 1/3 2)) (pow.f64 (cbrt.f64 x) 2))
(.f64 (/.f64 1 (+.f64 (.f64 1/3 (pow.f64 x 3)) (.f64 x -2))) (-.f64 (.f64 (pow.f64 x 6) 1/9) (.f64 4 (.f64 x x))))
(.f64 (/.f64 1 (+.f64 (.f64 (pow.f64 x 6) 1/9) (.f64 (.f64 x 2) (+.f64 (.f64 x 2) (.f64 (pow.f64 x 3) -1/3))))) (+.f64 (pow.f64 (.f64 1/3 (pow.f64 x 3)) 3) (.f64 8 (pow.f64 x 3))))
(.f64 (/.f64 (-.f64 (.f64 (pow.f64 x 6) 1/9) (.f64 4 (.f64 x x))) (-.f64 (.f64 (pow.f64 x 6) 1/9) (.f64 4 (.f64 x x)))) (.f64 x (fma.f64 (*.f64 x x) 1/3 2)))
(.f64 (/.f64 (-.f64 (.f64 (pow.f64 x 6) 1/9) (.f64 4 (.f64 x x))) (+.f64 (pow.f64 (.f64 1/3 (pow.f64 x 3)) 3) (.f64 -8 (pow.f64 x 3)))) (+.f64 (.f64 (pow.f64 x 6) 1/9) (.f64 (.f64 x 2) (.f64 x (fma.f64 (*.f64 x x) 1/3 2)))))
(.f64 (/.f64 (+.f64 (pow.f64 (.f64 1/3 (pow.f64 x 3)) 3) (.f64 8 (pow.f64 x 3))) (-.f64 (pow.f64 (.f64 1/3 (pow.f64 x 3)) 4) (pow.f64 (.f64 (.f64 x 2) (+.f64 (.f64 x 2) (.f64 (pow.f64 x 3) -1/3))) 2))) (+.f64 (.f64 (pow.f64 x 6) 1/9) (.f64 (.f64 x -2) (+.f64 (.f64 x 2) (*.f64 (pow.f64 x 3) -1/3)))))
(.f64 (/.f64 (+.f64 (pow.f64 (.f64 1/3 (pow.f64 x 3)) 3) (.f64 8 (pow.f64 x 3))) (+.f64 (pow.f64 (.f64 (pow.f64 x 6) 1/9) 3) (pow.f64 (.f64 (.f64 x 2) (+.f64 (.f64 x 2) (.f64 (pow.f64 x 3) -1/3))) 3))) (+.f64 (pow.f64 (.f64 1/3 (pow.f64 x 3)) 4) (.f64 (.f64 (.f64 x 2) (+.f64 (.f64 x 2) (.f64 (pow.f64 x 3) -1/3))) (-.f64 (.f64 (.f64 x 2) (+.f64 (.f64 x 2) (.f64 (pow.f64 x 3) -1/3))) (*.f64 (pow.f64 x 6) 1/9)))))
(.f64 (.f64 (sqrt.f64 (cbrt.f64 (.f64 x (fma.f64 (.f64 x x) 1/3 2)))) (cbrt.f64 (.f64 x (fma.f64 (.f64 x x) 1/3 2)))) (.f64 (sqrt.f64 (cbrt.f64 (.f64 x (fma.f64 (.f64 x x) 1/3 2)))) (cbrt.f64 (.f64 x (fma.f64 (*.f64 x x) 1/3 2)))))
(.f64 (.f64 (cbrt.f64 (sqrt.f64 (.f64 x (fma.f64 (.f64 x x) 1/3 2)))) (sqrt.f64 (pow.f64 (cbrt.f64 (.f64 x (fma.f64 (.f64 x x) 1/3 2))) 2))) (.f64 (cbrt.f64 (sqrt.f64 (.f64 x (fma.f64 (.f64 x x) 1/3 2)))) (sqrt.f64 (pow.f64 (cbrt.f64 (.f64 x (fma.f64 (*.f64 x x) 1/3 2))) 2))))
(.f64 (.f64 (cbrt.f64 (.f64 x (fma.f64 (.f64 x x) 1/3 2))) (sqrt.f64 (cbrt.f64 (.f64 x (fma.f64 (.f64 x x) 1/3 2))))) (.f64 (cbrt.f64 (.f64 x (fma.f64 (.f64 x x) 1/3 2))) (sqrt.f64 (cbrt.f64 (.f64 x (fma.f64 (*.f64 x x) 1/3 2))))))
(.f64 (.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (.f64 x (fma.f64 (.f64 x x) 1/3 2))) 2)) (cbrt.f64 (sqrt.f64 (.f64 x (fma.f64 (.f64 x x) 1/3 2))))) (.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (.f64 x (fma.f64 (.f64 x x) 1/3 2))) 2)) (cbrt.f64 (sqrt.f64 (.f64 x (fma.f64 (*.f64 x x) 1/3 2))))))
(.f64 (pow.f64 (cbrt.f64 (.f64 x (fma.f64 (.f64 x x) 1/3 2))) 3/2) (pow.f64 (cbrt.f64 (.f64 x (fma.f64 (*.f64 x x) 1/3 2))) 3/2))
(.f64 (pow.f64 (pow.f64 (.f64 x (fma.f64 (.f64 x x) 1/3 2)) 3) 1/6) (pow.f64 (pow.f64 (.f64 x (fma.f64 (*.f64 x x) 1/3 2)) 3) 1/6))
(/.f64 (.f64 x (fma.f64 (.f64 x x) 1/3 2)) (/.f64 (+.f64 (.f64 1/3 (pow.f64 x 3)) (.f64 x -2)) (+.f64 (.f64 1/3 (pow.f64 x 3)) (.f64 x -2))))
(/.f64 1 (/.f64 1 (.f64 x (fma.f64 (.f64 x x) 1/3 2))))
(/.f64 (-.f64 (.f64 (pow.f64 x 6) 1/9) (.f64 4 (.f64 x x))) (+.f64 (.f64 1/3 (pow.f64 x 3)) (*.f64 x -2)))
(/.f64 (+.f64 (pow.f64 (.f64 1/3 (pow.f64 x 3)) 3) (.f64 8 (pow.f64 x 3))) (+.f64 (.f64 (pow.f64 x 6) 1/9) (.f64 (.f64 x 2) (+.f64 (.f64 x 2) (*.f64 (pow.f64 x 3) -1/3)))))
(/.f64 (+.f64 (.f64 (pow.f64 x 6) 1/9) (.f64 (.f64 x 2) (+.f64 (.f64 x 2) (.f64 (pow.f64 x 3) -1/3)))) (/.f64 (+.f64 (.f64 (pow.f64 x 6) 1/9) (.f64 (.f64 x 2) (+.f64 (.f64 x 2) (.f64 (pow.f64 x 3) -1/3)))) (.f64 x (fma.f64 (.f64 x x) 1/3 2))))
(/.f64 (sqrt.f64 (-.f64 (.f64 (pow.f64 x 6) 1/9) (.f64 4 (.f64 x x)))) (/.f64 (+.f64 (.f64 1/3 (pow.f64 x 3)) (.f64 x -2)) (sqrt.f64 (-.f64 (.f64 (pow.f64 x 6) 1/9) (.f64 4 (.f64 x x))))))
(/.f64 (sqrt.f64 (+.f64 (pow.f64 (.f64 1/3 (pow.f64 x 3)) 3) (.f64 8 (pow.f64 x 3)))) (/.f64 (+.f64 (.f64 (pow.f64 x 6) 1/9) (.f64 (.f64 x 2) (+.f64 (.f64 x 2) (.f64 (pow.f64 x 3) -1/3)))) (sqrt.f64 (+.f64 (pow.f64 (.f64 1/3 (pow.f64 x 3)) 3) (*.f64 8 (pow.f64 x 3))))))
(/.f64 (.f64 (cbrt.f64 (-.f64 (.f64 (pow.f64 x 6) 1/9) (.f64 4 (.f64 x x)))) (cbrt.f64 (-.f64 (.f64 (pow.f64 x 6) 1/9) (.f64 4 (.f64 x x))))) (/.f64 (+.f64 (.f64 1/3 (pow.f64 x 3)) (.f64 x -2)) (cbrt.f64 (-.f64 (.f64 (pow.f64 x 6) 1/9) (.f64 4 (.f64 x x))))))
(/.f64 (.f64 (cbrt.f64 (+.f64 (pow.f64 (.f64 1/3 (pow.f64 x 3)) 3) (.f64 8 (pow.f64 x 3)))) (cbrt.f64 (+.f64 (pow.f64 (.f64 1/3 (pow.f64 x 3)) 3) (.f64 8 (pow.f64 x 3))))) (/.f64 (+.f64 (.f64 (pow.f64 x 6) 1/9) (.f64 (.f64 x 2) (+.f64 (.f64 x 2) (.f64 (pow.f64 x 3) -1/3)))) (cbrt.f64 (+.f64 (pow.f64 (.f64 1/3 (pow.f64 x 3)) 3) (.f64 8 (pow.f64 x 3))))))
(/.f64 (-.f64 (pow.f64 (.f64 1/3 (pow.f64 x 3)) 6) (.f64 64 (pow.f64 x 6))) (.f64 (+.f64 (.f64 (pow.f64 x 6) 1/9) (.f64 (.f64 x 2) (+.f64 (.f64 x 2) (.f64 (pow.f64 x 3) -1/3)))) (+.f64 (pow.f64 (.f64 1/3 (pow.f64 x 3)) 3) (.f64 -8 (pow.f64 x 3)))))
(/.f64 (-.f64 (.f64 4 (.f64 x x)) (.f64 (pow.f64 x 6) 1/9)) (+.f64 (.f64 x 2) (*.f64 (pow.f64 x 3) -1/3)))
(/.f64 (-.f64 (pow.f64 (.f64 1/3 (pow.f64 x 3)) 4) (.f64 (pow.f64 x 4) 16)) (.f64 (+.f64 (.f64 1/3 (pow.f64 x 3)) (.f64 x -2)) (+.f64 (.f64 4 (.f64 x x)) (.f64 (pow.f64 x 6) 1/9))))
(/.f64 (+.f64 (pow.f64 (pow.f64 (.f64 1/3 (pow.f64 x 3)) 3) 3) (pow.f64 (.f64 8 (pow.f64 x 3)) 3)) (.f64 (+.f64 (.f64 (pow.f64 x 6) 1/9) (.f64 (.f64 x 2) (+.f64 (.f64 x 2) (.f64 (pow.f64 x 3) -1/3)))) (+.f64 (pow.f64 (.f64 1/3 (pow.f64 x 3)) 6) (-.f64 (.f64 64 (pow.f64 x 6)) (.f64 (pow.f64 (.f64 1/3 (pow.f64 x 3)) 3) (*.f64 8 (pow.f64 x 3)))))))
(/.f64 (-.f64 (pow.f64 (.f64 (pow.f64 x 6) 1/9) 3) (pow.f64 (.f64 4 (.f64 x x)) 3)) (.f64 (+.f64 (.f64 1/3 (pow.f64 x 3)) (.f64 x -2)) (+.f64 (+.f64 (pow.f64 (.f64 1/3 (pow.f64 x 3)) 4) (.f64 (pow.f64 x 4) 16)) (.f64 (.f64 4 (.f64 x x)) (.f64 (pow.f64 x 6) 1/9)))))
(/.f64 (neg.f64 (-.f64 (.f64 (pow.f64 x 6) 1/9) (.f64 4 (.f64 x x)))) (+.f64 (.f64 (pow.f64 x 3) -1/3) (neg.f64 (*.f64 x -2))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (.f64 1/3 (pow.f64 x 3)) 3) (.f64 8 (pow.f64 x 3)))) (neg.f64 (+.f64 (.f64 (pow.f64 x 6) 1/9) (.f64 (.f64 x 2) (+.f64 (.f64 x 2) (*.f64 (pow.f64 x 3) -1/3))))))
(/.f64 (.f64 x (-.f64 (.f64 1/9 (pow.f64 x 4)) 4)) (-.f64 (.f64 x (.f64 x 1/3)) 2))
(/.f64 (.f64 x (+.f64 8 (.f64 1/3 (.f64 (pow.f64 x 6) 1/9)))) (-.f64 (+.f64 (.f64 1/9 (pow.f64 x 4)) 4) (.f64 (.f64 x (*.f64 x 1/3)) 2)))
(/.f64 (.f64 (sqrt.f64 (.f64 x (fma.f64 (.f64 x x) 1/3 2))) (sqrt.f64 (-.f64 (.f64 (pow.f64 x 6) 1/9) (.f64 4 (.f64 x x))))) (sqrt.f64 (+.f64 (.f64 1/3 (pow.f64 x 3)) (.f64 x -2))))
(/.f64 (.f64 (sqrt.f64 (.f64 x (fma.f64 (.f64 x x) 1/3 2))) (sqrt.f64 (+.f64 (pow.f64 (.f64 1/3 (pow.f64 x 3)) 3) (.f64 8 (pow.f64 x 3))))) (sqrt.f64 (+.f64 (.f64 (pow.f64 x 6) 1/9) (.f64 (.f64 x 2) (+.f64 (.f64 x 2) (.f64 (pow.f64 x 3) -1/3))))))
(/.f64 (.f64 (pow.f64 (cbrt.f64 (.f64 x (fma.f64 (.f64 x x) 1/3 2))) 2) (cbrt.f64 (-.f64 (.f64 (pow.f64 x 6) 1/9) (.f64 4 (.f64 x x))))) (cbrt.f64 (+.f64 (.f64 1/3 (pow.f64 x 3)) (.f64 x -2))))
(/.f64 (.f64 (pow.f64 (cbrt.f64 (.f64 x (fma.f64 (.f64 x x) 1/3 2))) 2) (cbrt.f64 (+.f64 (pow.f64 (.f64 1/3 (pow.f64 x 3)) 3) (.f64 8 (pow.f64 x 3))))) (cbrt.f64 (+.f64 (.f64 (pow.f64 x 6) 1/9) (.f64 (.f64 x 2) (+.f64 (.f64 x 2) (.f64 (pow.f64 x 3) -1/3))))))
(/.f64 (.f64 (-.f64 (.f64 4 (.f64 x x)) (.f64 (pow.f64 x 6) 1/9)) 1) (+.f64 (.f64 x 2) (.f64 (pow.f64 x 3) -1/3)))
(/.f64 (.f64 (neg.f64 (-.f64 (.f64 (pow.f64 x 6) 1/9) (.f64 4 (.f64 x x)))) 1) (+.f64 (.f64 (pow.f64 x 3) -1/3) (neg.f64 (.f64 x -2))))
(/.f64 (.f64 (neg.f64 (+.f64 (pow.f64 (.f64 1/3 (pow.f64 x 3)) 3) (.f64 8 (pow.f64 x 3)))) 1) (neg.f64 (+.f64 (.f64 (pow.f64 x 6) 1/9) (.f64 (.f64 x 2) (+.f64 (.f64 x 2) (.f64 (pow.f64 x 3) -1/3))))))
(/.f64 (.f64 (sqrt.f64 (-.f64 (.f64 (pow.f64 x 6) 1/9) (.f64 4 (.f64 x x)))) (sqrt.f64 (.f64 x (fma.f64 (.f64 x x) 1/3 2)))) (sqrt.f64 (+.f64 (.f64 1/3 (pow.f64 x 3)) (.f64 x -2))))
(/.f64 (.f64 (sqrt.f64 (+.f64 (pow.f64 (.f64 1/3 (pow.f64 x 3)) 3) (.f64 8 (pow.f64 x 3)))) (sqrt.f64 (.f64 x (fma.f64 (.f64 x x) 1/3 2)))) (sqrt.f64 (+.f64 (.f64 (pow.f64 x 6) 1/9) (.f64 (.f64 x 2) (+.f64 (.f64 x 2) (.f64 (pow.f64 x 3) -1/3))))))
(/.f64 (.f64 (cbrt.f64 (-.f64 (.f64 (pow.f64 x 6) 1/9) (.f64 4 (.f64 x x)))) (pow.f64 (cbrt.f64 (.f64 x (fma.f64 (.f64 x x) 1/3 2))) 2)) (cbrt.f64 (+.f64 (.f64 1/3 (pow.f64 x 3)) (.f64 x -2))))
(/.f64 (.f64 (cbrt.f64 (+.f64 (pow.f64 (.f64 1/3 (pow.f64 x 3)) 3) (.f64 8 (pow.f64 x 3)))) (pow.f64 (cbrt.f64 (.f64 x (fma.f64 (.f64 x x) 1/3 2))) 2)) (cbrt.f64 (+.f64 (.f64 (pow.f64 x 6) 1/9) (.f64 (.f64 x 2) (+.f64 (.f64 x 2) (.f64 (pow.f64 x 3) -1/3))))))
(/.f64 (.f64 (-.f64 (.f64 1/9 (pow.f64 x 4)) 4) x) (-.f64 (.f64 x (.f64 x 1/3)) 2))
(/.f64 (.f64 (+.f64 8 (.f64 1/3 (.f64 (pow.f64 x 6) 1/9))) x) (-.f64 (+.f64 (.f64 1/9 (pow.f64 x 4)) 4) (.f64 (.f64 x (*.f64 x 1/3)) 2)))
(/.f64 (.f64 (-.f64 (pow.f64 (.f64 1/3 (pow.f64 x 3)) 4) (.f64 (pow.f64 x 4) 16)) (/.f64 1 (+.f64 (.f64 1/3 (pow.f64 x 3)) (.f64 x -2)))) (+.f64 (.f64 4 (.f64 x x)) (.f64 (pow.f64 x 6) 1/9)))
(/.f64 (.f64 (-.f64 (pow.f64 (.f64 (pow.f64 x 6) 1/9) 3) (pow.f64 (.f64 4 (.f64 x x)) 3)) (/.f64 1 (+.f64 (.f64 1/3 (pow.f64 x 3)) (.f64 x -2)))) (+.f64 (+.f64 (pow.f64 (.f64 1/3 (pow.f64 x 3)) 4) (.f64 (pow.f64 x 4) 16)) (.f64 (.f64 4 (.f64 x x)) (.f64 (pow.f64 x 6) 1/9))))
(/.f64 (.f64 (-.f64 (pow.f64 (.f64 1/3 (pow.f64 x 3)) 6) (.f64 64 (pow.f64 x 6))) (/.f64 1 (+.f64 (.f64 (pow.f64 x 6) 1/9) (.f64 (.f64 x 2) (+.f64 (.f64 x 2) (.f64 (pow.f64 x 3) -1/3)))))) (+.f64 (pow.f64 (.f64 1/3 (pow.f64 x 3)) 3) (.f64 -8 (pow.f64 x 3))))
(/.f64 (.f64 (+.f64 (pow.f64 (pow.f64 (.f64 1/3 (pow.f64 x 3)) 3) 3) (pow.f64 (.f64 8 (pow.f64 x 3)) 3)) (/.f64 1 (+.f64 (.f64 (pow.f64 x 6) 1/9) (.f64 (.f64 x 2) (+.f64 (.f64 x 2) (.f64 (pow.f64 x 3) -1/3)))))) (+.f64 (pow.f64 (.f64 1/3 (pow.f64 x 3)) 6) (-.f64 (.f64 64 (pow.f64 x 6)) (.f64 (pow.f64 (.f64 1/3 (pow.f64 x 3)) 3) (*.f64 8 (pow.f64 x 3))))))
(/.f64 (/.f64 (-.f64 (.f64 (pow.f64 x 6) 1/9) (.f64 4 (.f64 x x))) x) (-.f64 (.f64 x (*.f64 x 1/3)) 2))
(/.f64 (/.f64 (-.f64 (.f64 (pow.f64 x 6) 1/9) (.f64 4 (.f64 x x))) 1) (+.f64 (.f64 1/3 (pow.f64 x 3)) (*.f64 x -2)))
(/.f64 (/.f64 (-.f64 (.f64 (pow.f64 x 6) 1/9) (.f64 4 (.f64 x x))) (sqrt.f64 (+.f64 (.f64 1/3 (pow.f64 x 3)) (.f64 x -2)))) (sqrt.f64 (+.f64 (.f64 1/3 (pow.f64 x 3)) (*.f64 x -2))))
(/.f64 (/.f64 (-.f64 (.f64 (pow.f64 x 6) 1/9) (.f64 4 (.f64 x x))) (.f64 (cbrt.f64 (+.f64 (.f64 1/3 (pow.f64 x 3)) (.f64 x -2))) (cbrt.f64 (+.f64 (.f64 1/3 (pow.f64 x 3)) (.f64 x -2))))) (cbrt.f64 (+.f64 (.f64 1/3 (pow.f64 x 3)) (.f64 x -2))))
(/.f64 (/.f64 (-.f64 (.f64 (pow.f64 x 6) 1/9) (.f64 4 (.f64 x x))) (.f64 (sqrt.f64 x) (+.f64 (.f64 x (sqrt.f64 1/3)) (sqrt.f64 2)))) (.f64 (sqrt.f64 x) (-.f64 (*.f64 x (sqrt.f64 1/3)) (sqrt.f64 2))))
(/.f64 (/.f64 (+.f64 (pow.f64 (.f64 1/3 (pow.f64 x 3)) 3) (.f64 8 (pow.f64 x 3))) 1) (+.f64 (.f64 (pow.f64 x 6) 1/9) (.f64 (.f64 x 2) (+.f64 (.f64 x 2) (*.f64 (pow.f64 x 3) -1/3)))))
(/.f64 (/.f64 (+.f64 (pow.f64 (.f64 1/3 (pow.f64 x 3)) 3) (.f64 8 (pow.f64 x 3))) (sqrt.f64 (+.f64 (.f64 (pow.f64 x 6) 1/9) (.f64 (.f64 x 2) (+.f64 (.f64 x 2) (.f64 (pow.f64 x 3) -1/3)))))) (sqrt.f64 (+.f64 (.f64 (pow.f64 x 6) 1/9) (.f64 (.f64 x 2) (+.f64 (.f64 x 2) (.f64 (pow.f64 x 3) -1/3))))))
(/.f64 (/.f64 (+.f64 (pow.f64 (.f64 1/3 (pow.f64 x 3)) 3) (.f64 8 (pow.f64 x 3))) (.f64 (cbrt.f64 (+.f64 (.f64 (pow.f64 x 6) 1/9) (.f64 (.f64 x 2) (+.f64 (.f64 x 2) (.f64 (pow.f64 x 3) -1/3))))) (cbrt.f64 (+.f64 (.f64 (pow.f64 x 6) 1/9) (.f64 (.f64 x 2) (+.f64 (.f64 x 2) (.f64 (pow.f64 x 3) -1/3))))))) (cbrt.f64 (+.f64 (.f64 (pow.f64 x 6) 1/9) (.f64 (.f64 x 2) (+.f64 (.f64 x 2) (.f64 (pow.f64 x 3) -1/3))))))
(pow.f64 (.f64 x (fma.f64 (.f64 x x) 1/3 2)) 1)
(pow.f64 (sqrt.f64 (.f64 x (fma.f64 (.f64 x x) 1/3 2))) 2)
(pow.f64 (cbrt.f64 (.f64 x (fma.f64 (.f64 x x) 1/3 2))) 3)
(pow.f64 (pow.f64 (.f64 x (fma.f64 (.f64 x x) 1/3 2)) 3) 1/3)
(neg.f64 (/.f64 (-.f64 (.f64 (pow.f64 x 6) 1/9) (.f64 4 (.f64 x x))) (+.f64 (.f64 (pow.f64 x 3) -1/3) (neg.f64 (*.f64 x -2)))))
(neg.f64 (/.f64 (+.f64 (pow.f64 (.f64 1/3 (pow.f64 x 3)) 3) (.f64 8 (pow.f64 x 3))) (neg.f64 (+.f64 (.f64 (pow.f64 x 6) 1/9) (.f64 (.f64 x 2) (+.f64 (.f64 x 2) (*.f64 (pow.f64 x 3) -1/3)))))))
(sqrt.f64 (pow.f64 (.f64 x (fma.f64 (.f64 x x) 1/3 2)) 2))
(log.f64 (pow.f64 (exp.f64 x) (fma.f64 (*.f64 x x) 1/3 2)))
(log.f64 (+.f64 1 (expm1.f64 (.f64 x (fma.f64 (.f64 x x) 1/3 2)))))
(cbrt.f64 (pow.f64 (.f64 x (fma.f64 (.f64 x x) 1/3 2)) 3))
(expm1.f64 (log1p.f64 (.f64 x (fma.f64 (.f64 x x) 1/3 2))))
(exp.f64 (log.f64 (.f64 x (fma.f64 (.f64 x x) 1/3 2))))
(log1p.f64 (expm1.f64 (.f64 x (fma.f64 (.f64 x x) 1/3 2))))
(fma.f64 x (.f64 x (.f64 x 1/3)) (*.f64 x 2))
(fma.f64 x 2 (*.f64 1/3 (pow.f64 x 3)))
(fma.f64 (.f64 x (.f64 x 1/3)) x (*.f64 x 2))
(fma.f64 2 x (*.f64 1/3 (pow.f64 x 3)))
(fma.f64 1 (.f64 1/3 (pow.f64 x 3)) (.f64 x 2))
(fma.f64 1 (.f64 x 2) (.f64 1/3 (pow.f64 x 3)))
(fma.f64 (sqrt.f64 (.f64 x 2)) (sqrt.f64 (.f64 x 2)) (*.f64 1/3 (pow.f64 x 3)))
(fma.f64 (sqrt.f64 (.f64 1/3 (pow.f64 x 3))) (sqrt.f64 (.f64 1/3 (pow.f64 x 3))) (*.f64 x 2))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 x 2)) 2) (cbrt.f64 (.f64 x 2)) (*.f64 1/3 (pow.f64 x 3)))
(fma.f64 (cbrt.f64 (.f64 (pow.f64 x 6) 1/9)) (cbrt.f64 (.f64 1/3 (pow.f64 x 3))) (*.f64 x 2))

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

eval361.0ms (6.7%)

Compiler: Compiled 14207 to 10809 computations (23.9% saved)

prune186.0ms (3.4%)

Pruning

6 alts after pruning (1 fresh and 5 done)

	Pruned	Kept	Total
New	566	1	567
Fresh	0	0	0
Picked	0	1	1
Done	1	4	5
Total	567	6	573

Error

Counts

573 → 6

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.8b	(/.f64 (+.f64 (.f64 (.f64 x (.f64 x 1/3)) x) (.f64 2 x)) 2)
✓	1.1b	(/.f64 (+.f64 x x) 2)
✓	0.8b	(/.f64 (.f64 x (+.f64 (.f64 x (*.f64 x 1/3)) 2)) 2)
✓	0.0b	(/.f64 (*.f64 2 (sinh.f64 x)) 2)
✓	0.3b	(/.f64 (log1p.f64 (expm1.f64 (*.f64 2 (sinh.f64 x)))) 2)
▶	59.9b	(.f64 x (/.f64 1 (/.f64 6 (.f64 x x))))

Compiler

Compiled 58 to 44 computations (24.1% saved)

localize11.0ms (0.2%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.1b	(.f64 x (/.f64 1 (/.f64 6 (.f64 x x))))
✓	0.1b	(/.f64 6 (*.f64 x x))
✓	0.4b	(/.f64 1 (/.f64 6 (*.f64 x x)))

Compiler

Compiled 28 to 15 computations (46.4% saved)

series1.0ms (0%)

Counts

3 → 36

Calls

9 calls:

Time	Variable		Point	Expression
0.0ms	x	@	0	(/.f64 6 (*.f64 x x))
0.0ms	x	@	inf	(/.f64 1 (/.f64 6 (*.f64 x x)))
0.0ms	x	@	0	(/.f64 1 (/.f64 6 (*.f64 x x)))
0.0ms	x	@	inf	(/.f64 6 (*.f64 x x))
0.0ms	x	@	-inf	(/.f64 1 (/.f64 6 (*.f64 x x)))

rewrite63.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

1792×	`add-sqr-sqrt`
1754×	`*-un-lft-identity`
1656×	`add-cube-cbrt`
1638×	`add-cbrt-cube`
174×	`add-exp-log`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	45
1	194	39
2	2424	39

Stop Event

1×	node limit

Counts

3 → 77

Calls

Call 1

Inputs
(/.f64 1 (/.f64 6 (*.f64 x x)))
(/.f64 6 (*.f64 x x))
(.f64 x (/.f64 1 (/.f64 6 (.f64 x x))))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (*.f64 x x) 1/6))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (*.f64 x x) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x x) 1/6)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 x x) 1/6) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 1/6) x) (*.f64 (sqrt.f64 1/6) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (*.f64 x x) 1/6)) (cbrt.f64 (*.f64 1/36 (pow.f64 x 4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 1/36 (pow.f64 x 4))) (cbrt.f64 (*.f64 (*.f64 x x) 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/6 (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/6 (pow.f64 (pow.f64 x -2) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 1 (*.f64 -6 (pow.f64 x -2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 1/6 x) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 1/6 (cbrt.f64 (pow.f64 x 4))) (pow.f64 (cbrt.f64 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (/.f64 6 x)) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1/6 (*.f64 x (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 (sqrt.f64 6) x) -1) (pow.f64 (/.f64 (sqrt.f64 6) x) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 36 (pow.f64 x 4))) -1) (pow.f64 (cbrt.f64 (*.f64 6 (pow.f64 x -2))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 6 (pow.f64 x -2)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (*.f64 x x) 1/6) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sqrt.f64 1/6) x) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (*.f64 x x) 1/6)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (*.f64 x x) 1/6) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 1/36 (pow.f64 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (*.f64 (*.f64 x x) 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (*.f64 x x) 1/6))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (*.f64 x x) 1/6) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (*.f64 x x) 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (*.f64 x x) 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 6 (pow.f64 x -2))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (*.f64 x x) 1/6)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (*.f64 x x) 1/6)))))))

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 6 (pow.f64 x -2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 6 (pow.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 6 (pow.f64 x -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 6 (pow.f64 x -2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 6) x) (/.f64 (sqrt.f64 6) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 6 (pow.f64 x -2))) (cbrt.f64 (/.f64 36 (pow.f64 x 4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 36 (pow.f64 x 4))) (cbrt.f64 (*.f64 6 (pow.f64 x -2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 6 x) (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 x -2) 6)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -6 (/.f64 1 (*.f64 x (neg.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 6 (pow.f64 x -2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (*.f64 x x) 1/6) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sqrt.f64 6) x) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 6 (pow.f64 x -2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 6 (pow.f64 x -2)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 36 (pow.f64 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 6) (pow.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 6 (pow.f64 x -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 6 (pow.f64 x -2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 6 (pow.f64 x -2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 6 (pow.f64 x -2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 6 (pow.f64 x -2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 6 (pow.f64 x -2))))))))

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 1/6 (pow.f64 x 3)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (*.f64 6 (pow.f64 x -2)) x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 x (*.f64 6 (pow.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 x) (/.f64 (*.f64 6 (pow.f64 x -2)) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (cbrt.f64 x) 2) (/.f64 (*.f64 6 (pow.f64 x -2)) (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x -1) (*.f64 -6 (pow.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -1 x) (*.f64 -6 (pow.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 x 1) (*.f64 6 (pow.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 x 6) (pow.f64 x -2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 x (/.f64 (sqrt.f64 6) x)) (/.f64 (sqrt.f64 6) x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 x (cbrt.f64 (/.f64 36 (pow.f64 x 4)))) (cbrt.f64 (*.f64 6 (pow.f64 x -2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 x) (*.f64 -6 (pow.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 1/6 (pow.f64 x 3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 1/6 (pow.f64 x 3))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 1/6 (pow.f64 x 3))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 1/6 (pow.f64 x 3)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 1/6 (pow.f64 x 3)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (*.f64 1/6 (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 1/6 (pow.f64 x 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 1/6 (pow.f64 x 3)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 1/6 (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 1/6 (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 1/6 (pow.f64 x 3))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 1/6 (pow.f64 x 3))))))))

simplify88.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

1382×	`associate-*r/`
1068×	`associate-*l/`
924×	`associate-/r*`
910×	`unswap-sqr`
746×	`associate-/l*`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	168	1749
1	391	1743
2	1580	1737

Stop Event

1×	node limit

Counts

113 → 103

Calls

Call 1

Inputs
(*.f64 1/6 (pow.f64 x 2))
(*.f64 1/6 (pow.f64 x 2))
(*.f64 1/6 (pow.f64 x 2))
(*.f64 1/6 (pow.f64 x 2))
(*.f64 1/6 (pow.f64 x 2))
(*.f64 1/6 (pow.f64 x 2))
(*.f64 1/6 (pow.f64 x 2))
(*.f64 1/6 (pow.f64 x 2))
(*.f64 1/6 (pow.f64 x 2))
(*.f64 1/6 (pow.f64 x 2))
(*.f64 1/6 (pow.f64 x 2))
(*.f64 1/6 (pow.f64 x 2))
(/.f64 6 (pow.f64 x 2))
(/.f64 6 (pow.f64 x 2))
(/.f64 6 (pow.f64 x 2))
(/.f64 6 (pow.f64 x 2))
(/.f64 6 (pow.f64 x 2))
(/.f64 6 (pow.f64 x 2))
(/.f64 6 (pow.f64 x 2))
(/.f64 6 (pow.f64 x 2))
(/.f64 6 (pow.f64 x 2))
(/.f64 6 (pow.f64 x 2))
(/.f64 6 (pow.f64 x 2))
(/.f64 6 (pow.f64 x 2))
(*.f64 1/6 (pow.f64 x 3))
(*.f64 1/6 (pow.f64 x 3))
(*.f64 1/6 (pow.f64 x 3))
(*.f64 1/6 (pow.f64 x 3))
(*.f64 1/6 (pow.f64 x 3))
(*.f64 1/6 (pow.f64 x 3))
(*.f64 1/6 (pow.f64 x 3))
(*.f64 1/6 (pow.f64 x 3))
(*.f64 1/6 (pow.f64 x 3))
(*.f64 1/6 (pow.f64 x 3))
(*.f64 1/6 (pow.f64 x 3))
(*.f64 1/6 (pow.f64 x 3))
(-.f64 (exp.f64 (log1p.f64 (.f64 (.f64 x x) 1/6))) 1)
(.f64 1 (.f64 (*.f64 x x) 1/6))
(.f64 (.f64 x x) 1/6)
(.f64 (.f64 (*.f64 x x) 1/6) 1)
(.f64 (.f64 (sqrt.f64 1/6) x) (*.f64 (sqrt.f64 1/6) x))
(.f64 (cbrt.f64 (.f64 (.f64 x x) 1/6)) (cbrt.f64 (.f64 1/36 (pow.f64 x 4))))
(.f64 (cbrt.f64 (.f64 1/36 (pow.f64 x 4))) (cbrt.f64 (.f64 (.f64 x x) 1/6)))
(.f64 1/6 (.f64 x x))
(*.f64 1/6 (pow.f64 (pow.f64 x -2) -1))
(.f64 -1 (/.f64 1 (.f64 -6 (pow.f64 x -2))))
(.f64 (.f64 1/6 x) x)
(.f64 (.f64 1/6 (cbrt.f64 (pow.f64 x 4))) (pow.f64 (cbrt.f64 x) 2))
(*.f64 (/.f64 1 (/.f64 6 x)) x)
(.f64 -1/6 (.f64 x (neg.f64 x)))
(*.f64 (pow.f64 (/.f64 (sqrt.f64 6) x) -1) (pow.f64 (/.f64 (sqrt.f64 6) x) -1))
(.f64 (pow.f64 (cbrt.f64 (/.f64 36 (pow.f64 x 4))) -1) (pow.f64 (cbrt.f64 (.f64 6 (pow.f64 x -2))) -1))
(pow.f64 (*.f64 6 (pow.f64 x -2)) -1)
(pow.f64 (.f64 (.f64 x x) 1/6) 1)
(pow.f64 (*.f64 (sqrt.f64 1/6) x) 2)
(pow.f64 (cbrt.f64 (.f64 (.f64 x x) 1/6)) 3)
(pow.f64 (pow.f64 (.f64 (.f64 x x) 1/6) 3) 1/3)
(sqrt.f64 (*.f64 1/36 (pow.f64 x 4)))
(log.f64 (exp.f64 (.f64 (.f64 x x) 1/6)))
(log.f64 (+.f64 1 (expm1.f64 (.f64 (.f64 x x) 1/6))))
(cbrt.f64 (pow.f64 (.f64 (.f64 x x) 1/6) 3))
(expm1.f64 (log1p.f64 (.f64 (.f64 x x) 1/6)))
(exp.f64 (log.f64 (.f64 (.f64 x x) 1/6)))
(exp.f64 (.f64 (log.f64 (.f64 6 (pow.f64 x -2))) -1))
(exp.f64 (.f64 (log.f64 (.f64 (*.f64 x x) 1/6)) 1))
(log1p.f64 (expm1.f64 (.f64 (.f64 x x) 1/6)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 6 (pow.f64 x -2)))) 1)
(.f64 1 (.f64 6 (pow.f64 x -2)))
(*.f64 6 (pow.f64 x -2))
(.f64 (.f64 6 (pow.f64 x -2)) 1)
(*.f64 (/.f64 (sqrt.f64 6) x) (/.f64 (sqrt.f64 6) x))
(.f64 (cbrt.f64 (.f64 6 (pow.f64 x -2))) (cbrt.f64 (/.f64 36 (pow.f64 x 4))))
(.f64 (cbrt.f64 (/.f64 36 (pow.f64 x 4))) (cbrt.f64 (.f64 6 (pow.f64 x -2))))
(*.f64 (/.f64 6 x) (/.f64 1 x))
(*.f64 (pow.f64 x -2) 6)
(.f64 -6 (/.f64 1 (.f64 x (neg.f64 x))))
(pow.f64 (*.f64 6 (pow.f64 x -2)) 1)
(pow.f64 (.f64 (.f64 x x) 1/6) -1)
(pow.f64 (/.f64 (sqrt.f64 6) x) 2)
(pow.f64 (cbrt.f64 (*.f64 6 (pow.f64 x -2))) 3)
(pow.f64 (pow.f64 (*.f64 6 (pow.f64 x -2)) 3) 1/3)
(sqrt.f64 (/.f64 36 (pow.f64 x 4)))
(log.f64 (pow.f64 (exp.f64 6) (pow.f64 x -2)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 6 (pow.f64 x -2)))))
(cbrt.f64 (pow.f64 (*.f64 6 (pow.f64 x -2)) 3))
(expm1.f64 (log1p.f64 (*.f64 6 (pow.f64 x -2))))
(exp.f64 (log.f64 (*.f64 6 (pow.f64 x -2))))
(exp.f64 (.f64 (log.f64 (.f64 6 (pow.f64 x -2))) 1))
(log1p.f64 (expm1.f64 (*.f64 6 (pow.f64 x -2))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 1/6 (pow.f64 x 3)))) 1)
(/.f64 1 (/.f64 (*.f64 6 (pow.f64 x -2)) x))
(/.f64 x (*.f64 6 (pow.f64 x -2)))
(/.f64 (sqrt.f64 x) (/.f64 (*.f64 6 (pow.f64 x -2)) (sqrt.f64 x)))
(/.f64 (pow.f64 (cbrt.f64 x) 2) (/.f64 (*.f64 6 (pow.f64 x -2)) (cbrt.f64 x)))
(/.f64 (.f64 x -1) (.f64 -6 (pow.f64 x -2)))
(/.f64 (.f64 -1 x) (.f64 -6 (pow.f64 x -2)))
(/.f64 (/.f64 x 1) (*.f64 6 (pow.f64 x -2)))
(/.f64 (/.f64 x 6) (pow.f64 x -2))
(/.f64 (/.f64 x (/.f64 (sqrt.f64 6) x)) (/.f64 (sqrt.f64 6) x))
(/.f64 (/.f64 x (cbrt.f64 (/.f64 36 (pow.f64 x 4)))) (cbrt.f64 (*.f64 6 (pow.f64 x -2))))
(/.f64 (neg.f64 x) (*.f64 -6 (pow.f64 x -2)))
(pow.f64 (*.f64 1/6 (pow.f64 x 3)) 1)
(pow.f64 (sqrt.f64 (*.f64 1/6 (pow.f64 x 3))) 2)
(pow.f64 (cbrt.f64 (*.f64 1/6 (pow.f64 x 3))) 3)
(pow.f64 (pow.f64 (*.f64 1/6 (pow.f64 x 3)) 3) 1/3)
(sqrt.f64 (pow.f64 (*.f64 1/6 (pow.f64 x 3)) 2))
(log.f64 (exp.f64 (*.f64 1/6 (pow.f64 x 3))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 1/6 (pow.f64 x 3)))))
(cbrt.f64 (pow.f64 (*.f64 1/6 (pow.f64 x 3)) 3))
(expm1.f64 (log1p.f64 (*.f64 1/6 (pow.f64 x 3))))
(exp.f64 (log.f64 (*.f64 1/6 (pow.f64 x 3))))
(exp.f64 (.f64 (log.f64 (.f64 1/6 (pow.f64 x 3))) 1))
(log1p.f64 (expm1.f64 (*.f64 1/6 (pow.f64 x 3))))

Outputs
(*.f64 1/6 (pow.f64 x 2))
(.f64 x (.f64 1/6 x))
(/.f64 1/6 (pow.f64 x -2))
(*.f64 1/6 (pow.f64 x 2))
(.f64 x (.f64 1/6 x))
(/.f64 1/6 (pow.f64 x -2))
(*.f64 1/6 (pow.f64 x 2))
(.f64 x (.f64 1/6 x))
(/.f64 1/6 (pow.f64 x -2))
(*.f64 1/6 (pow.f64 x 2))
(.f64 x (.f64 1/6 x))
(/.f64 1/6 (pow.f64 x -2))
(*.f64 1/6 (pow.f64 x 2))
(.f64 x (.f64 1/6 x))
(/.f64 1/6 (pow.f64 x -2))
(*.f64 1/6 (pow.f64 x 2))
(.f64 x (.f64 1/6 x))
(/.f64 1/6 (pow.f64 x -2))
(*.f64 1/6 (pow.f64 x 2))
(.f64 x (.f64 1/6 x))
(/.f64 1/6 (pow.f64 x -2))
(*.f64 1/6 (pow.f64 x 2))
(.f64 x (.f64 1/6 x))
(/.f64 1/6 (pow.f64 x -2))
(*.f64 1/6 (pow.f64 x 2))
(.f64 x (.f64 1/6 x))
(/.f64 1/6 (pow.f64 x -2))
(*.f64 1/6 (pow.f64 x 2))
(.f64 x (.f64 1/6 x))
(/.f64 1/6 (pow.f64 x -2))
(*.f64 1/6 (pow.f64 x 2))
(.f64 x (.f64 1/6 x))
(/.f64 1/6 (pow.f64 x -2))
(*.f64 1/6 (pow.f64 x 2))
(.f64 x (.f64 1/6 x))
(/.f64 1/6 (pow.f64 x -2))
(/.f64 6 (pow.f64 x 2))
(/.f64 6 (*.f64 x x))
(*.f64 6 (pow.f64 x -2))
(/.f64 6 (pow.f64 x 2))
(/.f64 6 (*.f64 x x))
(*.f64 6 (pow.f64 x -2))
(/.f64 6 (pow.f64 x 2))
(/.f64 6 (*.f64 x x))
(*.f64 6 (pow.f64 x -2))
(/.f64 6 (pow.f64 x 2))
(/.f64 6 (*.f64 x x))
(*.f64 6 (pow.f64 x -2))
(/.f64 6 (pow.f64 x 2))
(/.f64 6 (*.f64 x x))
(*.f64 6 (pow.f64 x -2))
(/.f64 6 (pow.f64 x 2))
(/.f64 6 (*.f64 x x))
(*.f64 6 (pow.f64 x -2))
(/.f64 6 (pow.f64 x 2))
(/.f64 6 (*.f64 x x))
(*.f64 6 (pow.f64 x -2))
(/.f64 6 (pow.f64 x 2))
(/.f64 6 (*.f64 x x))
(*.f64 6 (pow.f64 x -2))
(/.f64 6 (pow.f64 x 2))
(/.f64 6 (*.f64 x x))
(*.f64 6 (pow.f64 x -2))
(/.f64 6 (pow.f64 x 2))
(/.f64 6 (*.f64 x x))
(*.f64 6 (pow.f64 x -2))
(/.f64 6 (pow.f64 x 2))
(/.f64 6 (*.f64 x x))
(*.f64 6 (pow.f64 x -2))
(/.f64 6 (pow.f64 x 2))
(/.f64 6 (*.f64 x x))
(*.f64 6 (pow.f64 x -2))
(*.f64 1/6 (pow.f64 x 3))
(*.f64 1/6 (pow.f64 x 3))
(*.f64 1/6 (pow.f64 x 3))
(*.f64 1/6 (pow.f64 x 3))
(*.f64 1/6 (pow.f64 x 3))
(*.f64 1/6 (pow.f64 x 3))
(*.f64 1/6 (pow.f64 x 3))
(*.f64 1/6 (pow.f64 x 3))
(*.f64 1/6 (pow.f64 x 3))
(*.f64 1/6 (pow.f64 x 3))
(*.f64 1/6 (pow.f64 x 3))
(*.f64 1/6 (pow.f64 x 3))
(-.f64 (exp.f64 (log1p.f64 (.f64 (.f64 x x) 1/6))) 1)
(.f64 x (.f64 1/6 x))
(/.f64 1/6 (pow.f64 x -2))
(.f64 1 (.f64 (*.f64 x x) 1/6))
(.f64 x (.f64 1/6 x))
(/.f64 1/6 (pow.f64 x -2))
(.f64 (.f64 x x) 1/6)
(.f64 x (.f64 1/6 x))
(/.f64 1/6 (pow.f64 x -2))
(.f64 (.f64 (*.f64 x x) 1/6) 1)
(.f64 x (.f64 1/6 x))
(/.f64 1/6 (pow.f64 x -2))
(.f64 (.f64 (sqrt.f64 1/6) x) (*.f64 (sqrt.f64 1/6) x))
(.f64 x (.f64 1/6 x))
(/.f64 1/6 (pow.f64 x -2))
(.f64 (cbrt.f64 (.f64 (.f64 x x) 1/6)) (cbrt.f64 (.f64 1/36 (pow.f64 x 4))))
(.f64 (cbrt.f64 (.f64 x (.f64 1/6 x))) (cbrt.f64 (.f64 1/36 (pow.f64 x 4))))
(.f64 (cbrt.f64 (/.f64 1/6 (pow.f64 x -2))) (cbrt.f64 (.f64 1/36 (pow.f64 x 4))))
(.f64 (cbrt.f64 (.f64 1/36 (pow.f64 x 4))) (cbrt.f64 (.f64 (.f64 x x) 1/6)))
(.f64 (cbrt.f64 (.f64 x (.f64 1/6 x))) (cbrt.f64 (.f64 1/36 (pow.f64 x 4))))
(.f64 (cbrt.f64 (/.f64 1/6 (pow.f64 x -2))) (cbrt.f64 (.f64 1/36 (pow.f64 x 4))))
(.f64 1/6 (.f64 x x))
(.f64 x (.f64 1/6 x))
(/.f64 1/6 (pow.f64 x -2))
(*.f64 1/6 (pow.f64 (pow.f64 x -2) -1))
(.f64 x (.f64 1/6 x))
(/.f64 1/6 (pow.f64 x -2))
(.f64 -1 (/.f64 1 (.f64 -6 (pow.f64 x -2))))
(.f64 x (.f64 1/6 x))
(/.f64 1/6 (pow.f64 x -2))
(.f64 (.f64 1/6 x) x)
(.f64 x (.f64 1/6 x))
(/.f64 1/6 (pow.f64 x -2))
(.f64 (.f64 1/6 (cbrt.f64 (pow.f64 x 4))) (pow.f64 (cbrt.f64 x) 2))
(.f64 1/6 (.f64 (cbrt.f64 (pow.f64 x 4)) (pow.f64 (cbrt.f64 x) 2)))
(*.f64 (/.f64 1 (/.f64 6 x)) x)
(.f64 x (.f64 1/6 x))
(/.f64 1/6 (pow.f64 x -2))
(.f64 -1/6 (.f64 x (neg.f64 x)))
(.f64 x (.f64 1/6 x))
(/.f64 1/6 (pow.f64 x -2))
(*.f64 (pow.f64 (/.f64 (sqrt.f64 6) x) -1) (pow.f64 (/.f64 (sqrt.f64 6) x) -1))
(pow.f64 (/.f64 (sqrt.f64 6) x) -2)
(.f64 (pow.f64 (cbrt.f64 (/.f64 36 (pow.f64 x 4))) -1) (pow.f64 (cbrt.f64 (.f64 6 (pow.f64 x -2))) -1))
(.f64 (/.f64 1 (cbrt.f64 (/.f64 36 (pow.f64 x 4)))) (/.f64 1 (cbrt.f64 (.f64 6 (pow.f64 x -2)))))
(/.f64 (.f64 1 (/.f64 1 (cbrt.f64 (.f64 6 (pow.f64 x -2))))) (cbrt.f64 (/.f64 36 (pow.f64 x 4))))
(/.f64 (/.f64 1 (cbrt.f64 (.f64 36 (pow.f64 x -4)))) (cbrt.f64 (.f64 6 (pow.f64 x -2))))
(pow.f64 (*.f64 6 (pow.f64 x -2)) -1)
(.f64 x (.f64 1/6 x))
(/.f64 1/6 (pow.f64 x -2))
(pow.f64 (.f64 (.f64 x x) 1/6) 1)
(.f64 x (.f64 1/6 x))
(/.f64 1/6 (pow.f64 x -2))
(pow.f64 (*.f64 (sqrt.f64 1/6) x) 2)
(.f64 x (.f64 1/6 x))
(/.f64 1/6 (pow.f64 x -2))
(pow.f64 (cbrt.f64 (.f64 (.f64 x x) 1/6)) 3)
(.f64 x (.f64 1/6 x))
(/.f64 1/6 (pow.f64 x -2))
(pow.f64 (pow.f64 (.f64 (.f64 x x) 1/6) 3) 1/3)
(.f64 x (.f64 1/6 x))
(/.f64 1/6 (pow.f64 x -2))
(sqrt.f64 (*.f64 1/36 (pow.f64 x 4)))
(log.f64 (exp.f64 (.f64 (.f64 x x) 1/6)))
(.f64 x (.f64 1/6 x))
(/.f64 1/6 (pow.f64 x -2))
(log.f64 (+.f64 1 (expm1.f64 (.f64 (.f64 x x) 1/6))))
(.f64 x (.f64 1/6 x))
(/.f64 1/6 (pow.f64 x -2))
(cbrt.f64 (pow.f64 (.f64 (.f64 x x) 1/6) 3))
(.f64 x (.f64 1/6 x))
(/.f64 1/6 (pow.f64 x -2))
(expm1.f64 (log1p.f64 (.f64 (.f64 x x) 1/6)))
(.f64 x (.f64 1/6 x))
(/.f64 1/6 (pow.f64 x -2))
(exp.f64 (log.f64 (.f64 (.f64 x x) 1/6)))
(.f64 x (.f64 1/6 x))
(/.f64 1/6 (pow.f64 x -2))
(exp.f64 (.f64 (log.f64 (.f64 6 (pow.f64 x -2))) -1))
(.f64 x (.f64 1/6 x))
(/.f64 1/6 (pow.f64 x -2))
(exp.f64 (.f64 (log.f64 (.f64 (*.f64 x x) 1/6)) 1))
(.f64 x (.f64 1/6 x))
(/.f64 1/6 (pow.f64 x -2))
(log1p.f64 (expm1.f64 (.f64 (.f64 x x) 1/6)))
(.f64 x (.f64 1/6 x))
(/.f64 1/6 (pow.f64 x -2))
(-.f64 (exp.f64 (log1p.f64 (*.f64 6 (pow.f64 x -2)))) 1)
(/.f64 6 (*.f64 x x))
(*.f64 6 (pow.f64 x -2))
(.f64 1 (.f64 6 (pow.f64 x -2)))
(/.f64 6 (*.f64 x x))
(*.f64 6 (pow.f64 x -2))
(*.f64 6 (pow.f64 x -2))
(/.f64 6 (*.f64 x x))
(.f64 (.f64 6 (pow.f64 x -2)) 1)
(/.f64 6 (*.f64 x x))
(*.f64 6 (pow.f64 x -2))
(*.f64 (/.f64 (sqrt.f64 6) x) (/.f64 (sqrt.f64 6) x))
(pow.f64 (/.f64 (sqrt.f64 6) x) 2)
(.f64 (cbrt.f64 (.f64 6 (pow.f64 x -2))) (cbrt.f64 (/.f64 36 (pow.f64 x 4))))
(.f64 (cbrt.f64 (/.f64 36 (pow.f64 x 4))) (cbrt.f64 (.f64 6 (pow.f64 x -2))))
(.f64 (cbrt.f64 (.f64 36 (pow.f64 x -4))) (cbrt.f64 (*.f64 6 (pow.f64 x -2))))
(.f64 (cbrt.f64 (/.f64 36 (pow.f64 x 4))) (cbrt.f64 (.f64 6 (pow.f64 x -2))))
(.f64 (cbrt.f64 (.f64 36 (pow.f64 x -4))) (cbrt.f64 (*.f64 6 (pow.f64 x -2))))
(*.f64 (/.f64 6 x) (/.f64 1 x))
(/.f64 6 (*.f64 x x))
(*.f64 6 (pow.f64 x -2))
(*.f64 (pow.f64 x -2) 6)
(/.f64 6 (*.f64 x x))
(*.f64 6 (pow.f64 x -2))
(.f64 -6 (/.f64 1 (.f64 x (neg.f64 x))))
(/.f64 6 (*.f64 x x))
(*.f64 6 (pow.f64 x -2))
(pow.f64 (*.f64 6 (pow.f64 x -2)) 1)
(/.f64 6 (*.f64 x x))
(*.f64 6 (pow.f64 x -2))
(pow.f64 (.f64 (.f64 x x) 1/6) -1)
(/.f64 6 (*.f64 x x))
(*.f64 6 (pow.f64 x -2))
(pow.f64 (/.f64 (sqrt.f64 6) x) 2)
(pow.f64 (cbrt.f64 (*.f64 6 (pow.f64 x -2))) 3)
(/.f64 6 (*.f64 x x))
(*.f64 6 (pow.f64 x -2))
(pow.f64 (pow.f64 (*.f64 6 (pow.f64 x -2)) 3) 1/3)
(/.f64 6 (*.f64 x x))
(*.f64 6 (pow.f64 x -2))
(sqrt.f64 (/.f64 36 (pow.f64 x 4)))
(sqrt.f64 (*.f64 36 (pow.f64 x -4)))
(log.f64 (pow.f64 (exp.f64 6) (pow.f64 x -2)))
(/.f64 6 (*.f64 x x))
(*.f64 6 (pow.f64 x -2))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 6 (pow.f64 x -2)))))
(/.f64 6 (*.f64 x x))
(*.f64 6 (pow.f64 x -2))
(cbrt.f64 (pow.f64 (*.f64 6 (pow.f64 x -2)) 3))
(/.f64 6 (*.f64 x x))
(*.f64 6 (pow.f64 x -2))
(expm1.f64 (log1p.f64 (*.f64 6 (pow.f64 x -2))))
(/.f64 6 (*.f64 x x))
(*.f64 6 (pow.f64 x -2))
(exp.f64 (log.f64 (*.f64 6 (pow.f64 x -2))))
(/.f64 6 (*.f64 x x))
(*.f64 6 (pow.f64 x -2))
(exp.f64 (.f64 (log.f64 (.f64 6 (pow.f64 x -2))) 1))
(/.f64 6 (*.f64 x x))
(*.f64 6 (pow.f64 x -2))
(log1p.f64 (expm1.f64 (*.f64 6 (pow.f64 x -2))))
(/.f64 6 (*.f64 x x))
(*.f64 6 (pow.f64 x -2))
(-.f64 (exp.f64 (log1p.f64 (*.f64 1/6 (pow.f64 x 3)))) 1)
(*.f64 1/6 (pow.f64 x 3))
(/.f64 1 (/.f64 (*.f64 6 (pow.f64 x -2)) x))
(*.f64 1/6 (pow.f64 x 3))
(/.f64 x (*.f64 6 (pow.f64 x -2)))
(*.f64 1/6 (pow.f64 x 3))
(/.f64 (sqrt.f64 x) (/.f64 (*.f64 6 (pow.f64 x -2)) (sqrt.f64 x)))
(.f64 (/.f64 (sqrt.f64 x) (.f64 6 (pow.f64 x -2))) (sqrt.f64 x))
(.f64 (sqrt.f64 x) (/.f64 (sqrt.f64 x) (.f64 6 (pow.f64 x -2))))
(.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) (.f64 x (.f64 1/6 x))))
(/.f64 (pow.f64 (cbrt.f64 x) 2) (/.f64 (*.f64 6 (pow.f64 x -2)) (cbrt.f64 x)))
(.f64 (cbrt.f64 x) (/.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 6 (pow.f64 x -2))))
(.f64 (cbrt.f64 x) (.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 x (.f64 1/6 x))))
(/.f64 (.f64 x -1) (.f64 -6 (pow.f64 x -2)))
(*.f64 1/6 (pow.f64 x 3))
(/.f64 (.f64 -1 x) (.f64 -6 (pow.f64 x -2)))
(*.f64 1/6 (pow.f64 x 3))
(/.f64 (/.f64 x 1) (*.f64 6 (pow.f64 x -2)))
(*.f64 1/6 (pow.f64 x 3))
(/.f64 (/.f64 x 6) (pow.f64 x -2))
(*.f64 1/6 (pow.f64 x 3))
(/.f64 (/.f64 x (/.f64 (sqrt.f64 6) x)) (/.f64 (sqrt.f64 6) x))
(/.f64 x (pow.f64 (/.f64 (sqrt.f64 6) x) 2))
(*.f64 x (pow.f64 (/.f64 (sqrt.f64 6) x) -2))
(/.f64 (/.f64 x (cbrt.f64 (/.f64 36 (pow.f64 x 4)))) (cbrt.f64 (*.f64 6 (pow.f64 x -2))))
(/.f64 x (.f64 (cbrt.f64 (/.f64 36 (pow.f64 x 4))) (cbrt.f64 (.f64 6 (pow.f64 x -2)))))
(/.f64 x (.f64 (cbrt.f64 (.f64 36 (pow.f64 x -4))) (cbrt.f64 (*.f64 6 (pow.f64 x -2)))))
(/.f64 (neg.f64 x) (*.f64 -6 (pow.f64 x -2)))
(*.f64 1/6 (pow.f64 x 3))
(pow.f64 (*.f64 1/6 (pow.f64 x 3)) 1)
(*.f64 1/6 (pow.f64 x 3))
(pow.f64 (sqrt.f64 (*.f64 1/6 (pow.f64 x 3))) 2)
(*.f64 1/6 (pow.f64 x 3))
(pow.f64 (cbrt.f64 (*.f64 1/6 (pow.f64 x 3))) 3)
(*.f64 1/6 (pow.f64 x 3))
(pow.f64 (pow.f64 (*.f64 1/6 (pow.f64 x 3)) 3) 1/3)
(*.f64 1/6 (pow.f64 x 3))
(sqrt.f64 (pow.f64 (*.f64 1/6 (pow.f64 x 3)) 2))
(fabs.f64 (*.f64 1/6 (pow.f64 x 3)))
(sqrt.f64 (*.f64 1/36 (pow.f64 x 6)))
(log.f64 (exp.f64 (*.f64 1/6 (pow.f64 x 3))))
(*.f64 1/6 (pow.f64 x 3))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 1/6 (pow.f64 x 3)))))
(*.f64 1/6 (pow.f64 x 3))
(cbrt.f64 (pow.f64 (*.f64 1/6 (pow.f64 x 3)) 3))
(*.f64 1/6 (pow.f64 x 3))
(expm1.f64 (log1p.f64 (*.f64 1/6 (pow.f64 x 3))))
(*.f64 1/6 (pow.f64 x 3))
(exp.f64 (log.f64 (*.f64 1/6 (pow.f64 x 3))))
(*.f64 1/6 (pow.f64 x 3))
(exp.f64 (.f64 (log.f64 (.f64 1/6 (pow.f64 x 3))) 1))
(*.f64 1/6 (pow.f64 x 3))
(log1p.f64 (expm1.f64 (*.f64 1/6 (pow.f64 x 3))))
(*.f64 1/6 (pow.f64 x 3))

eval58.0ms (1.1%)

Compiler: Compiled 1087 to 807 computations (25.8% saved)

prune45.0ms (0.8%)

Pruning

7 alts after pruning (1 fresh and 6 done)

	Pruned	Kept	Total
New	102	1	103
Fresh	0	0	0
Picked	0	1	1
Done	0	5	5
Total	102	7	109

Error

Counts

109 → 7

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.8b	(/.f64 (+.f64 (.f64 (.f64 x (.f64 x 1/3)) x) (.f64 2 x)) 2)
✓	1.1b	(/.f64 (+.f64 x x) 2)
✓	0.8b	(/.f64 (.f64 x (+.f64 (.f64 x (*.f64 x 1/3)) 2)) 2)
✓	0.0b	(/.f64 (*.f64 2 (sinh.f64 x)) 2)
✓	0.3b	(/.f64 (log1p.f64 (expm1.f64 (*.f64 2 (sinh.f64 x)))) 2)
✓	59.9b	(.f64 x (/.f64 1 (/.f64 6 (.f64 x x))))
	59.9b	(.f64 x (.f64 (*.f64 x x) 1/6))

Compiler

Compiled 66 to 49 computations (25.8% saved)

regimes16.0ms (0.3%)

Counts

10 → 1

Calls

Call 1

Inputs
(/.f64 (+.f64 x x) 2)
(.f64 x (.f64 (*.f64 x x) 1/6))
(.f64 x (/.f64 1 (/.f64 6 (.f64 x x))))
(/.f64 (.f64 x (.f64 1/3 (*.f64 x x))) 2)
(/.f64 (.f64 x (+.f64 (.f64 x (*.f64 x 1/3)) 2)) 2)
(/.f64 (+.f64 (.f64 (.f64 x (.f64 x 1/3)) 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 (exp.f64 x) (exp.f64 (neg.f64 x))) 2)
(/.f64 (log1p.f64 (expm1.f64 (*.f64 2 (sinh.f64 x)))) 2)

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

Calls

3 calls:

9.0ms	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 105 to 72 computations (31.4% saved)

regimes6.0ms (0.1%)

Counts

6 → 1

Calls

Call 1

Inputs
(/.f64 (+.f64 x x) 2)
(.f64 x (.f64 (*.f64 x x) 1/6))
(.f64 x (/.f64 1 (/.f64 6 (.f64 x x))))
(/.f64 (.f64 x (.f64 1/3 (*.f64 x x))) 2)
(/.f64 (.f64 x (+.f64 (.f64 x (*.f64 x 1/3)) 2)) 2)
(/.f64 (+.f64 (.f64 (.f64 x (.f64 x 1/3)) x) (.f64 2 x)) 2)

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

Calls

1 calls:

4.0ms

Results

Error	Segments	Branch
0.8b	1	`x`

Compiler

Compiled 57 to 36 computations (36.8% saved)

regimes5.0ms (0.1%)

Accuracy

Total -58.8b remaining (-5322.3%)

Threshold costs -58.8b (-5322.3%)

Counts

4 → 1

Calls

Call 1

Inputs
(/.f64 (+.f64 x x) 2)
(.f64 x (.f64 (*.f64 x x) 1/6))
(.f64 x (/.f64 1 (/.f64 6 (.f64 x x))))
(/.f64 (.f64 x (.f64 1/3 (*.f64 x x))) 2)

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

Calls

1 calls:

3.0ms

Results

Error	Segments	Branch
1.1b	1	`x`

Compiler

Compiled 33 to 19 computations (42.4% saved)

simplify5.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

8×	`*-commutative`
2×	`+-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	61
1	21	61

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

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

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

Compiler

Compiled 25 to 19 computations (24% saved)

soundness127.0ms (2.3%)

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)

end23.0ms (0.4%)

Compiler: Compiled 23 to 17 computations (26.1% saved)

Details

analyze6.0ms (0.1%)

sample2.9s (52.8%)

preprocess48.0ms (0.9%)

simplify55.0ms (1%)

eval1.0ms (0%)

prune1.0ms (0%)

localize8.0ms (0.1%)

series1.0ms (0%)

rewrite36.0ms (0.7%)

simplify53.0ms (1%)

eval10.0ms (0.2%)

prune5.0ms (0.1%)

localize13.0ms (0.2%)

series3.0ms (0.1%)

rewrite62.0ms (1.2%)

simplify56.0ms (1%)

localize7.0ms (0.1%)

localize14.0ms (0.3%)

series3.0ms (0%)

rewrite61.0ms (1.1%)

simplify64.0ms (1.2%)

localize6.0ms (0.1%)

eval355.0ms (6.5%)

prune30.0ms (0.6%)

localize10.0ms (0.2%)

series3.0ms (0.1%)

rewrite64.0ms (1.2%)

simplify71.0ms (1.3%)

localize16.0ms (0.3%)

series1.0ms (0%)

rewrite81.0ms (1.5%)

simplify105.0ms (1.9%)

localize77.0ms (1.4%)

series1.0ms (0%)

rewrite141.0ms (2.6%)

simplify96.0ms (1.8%)

eval361.0ms (6.7%)

prune186.0ms (3.4%)

localize11.0ms (0.2%)

series1.0ms (0%)

rewrite63.0ms (1.2%)

simplify88.0ms (1.6%)

eval58.0ms (1.1%)

prune45.0ms (0.8%)

regimes16.0ms (0.3%)

regimes6.0ms (0.1%)

regimes5.0ms (0.1%)

simplify5.0ms (0.1%)

soundness127.0ms (2.3%)

end23.0ms (0.4%)

Profiling