Details

analyze3.0ms (0.2%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	100%	0%	0%	0%	0%	0
0%	0%	100%	0%	0%	0%	0%	1
0%	0%	100%	0%	0%	0%	0%	2
50%	50%	50%	0%	0%	0%	0%	3
75%	75%	25%	0%	0%	0%	0%	4
87.5%	87.5%	12.5%	0%	0%	0%	0%	5
93.8%	93.7%	6.2%	0%	0%	0%	0%	6
96.9%	96.8%	3.1%	0%	0%	0%	0%	7
98.4%	98.4%	1.6%	0%	0%	0%	0%	8
99.2%	99.2%	0.8%	0%	0%	0%	0%	9
99.6%	99.6%	0.4%	0%	0%	0%	0%	10
99.8%	99.8%	0.2%	0%	0%	0%	0%	11
99.9%	99.9%	0.1%	0%	0%	0%	0%	12

Compiler

Compiled 7 to 6 computations (14.3% saved)

sample622.0ms (42.9%)

Results

610.0ms

8256×

body

256

valid

Bogosity

preprocess16.0ms (1.1%)

Algorithm

2×	egg-herbie

Rules

1×	`+-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	7
1	7	7
0	1	1

Stop Event

1×	saturated
1×	saturated

Calls

Call 1

Inputs
0

Outputs
0

Call 2

Inputs
(/.f64 (+.f64 x 16) 116)

Outputs
(/.f64 (+.f64 x 16) 116)

Compiler

Compiled 7 to 6 computations (14.3% saved)

simplify6.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

1×	`+-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	7
1	7	7

Stop Event

1×

saturated

Counts

1 → 1

Calls

Call 1

Inputs
(/.f64 (+.f64 x 16) 116)

Outputs
(/.f64 (+.f64 x 16) 116)

eval2.0ms (0.1%)

Compiler: Compiled 6 to 5 computations (16.7% saved)

prune1.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

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

Error

0.0b

Counts

2 → 1

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.0b	(/.f64 (+.f64 x 16) 116)

Compiler

Compiled 6 to 5 computations (16.7% saved)

localize5.0ms (0.3%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 (+.f64 x 16) 116)

Compiler

Compiled 12 to 9 computations (25% saved)

series1.0ms (0.1%)

Counts

1 → 12

Calls

3 calls:

Time	Variable		Point	Expression
0.0ms	x	@	inf	(/.f64 (+.f64 x 16) 116)
0.0ms	x	@	-inf	(/.f64 (+.f64 x 16) 116)
0.0ms	x	@	0	(/.f64 (+.f64 x 16) 116)

rewrite43.0ms (3%)

Algorithm

1×	batch-egg-rewrite

Rules

695×	`pow1_binary64`
664×	`add-log-exp_binary64`
664×	`log1p-expm1-u_binary64`
664×	`expm1-log1p-u_binary64`
655×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	7
1	141	7
2	1742	7

Stop Event

1×	node limit

Counts

1 → 23

Calls

Call 1

Inputs
(/.f64 (+.f64 x 16) 116)

Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (.f64 (+.f64 x 16) 1/116)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 x 16) 1/116)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (+.f64 x 16) 1/116) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (.f64 (+.f64 x 16) 1/116))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (.f64 (+.f64 x 16) 1/116)) (cbrt.f64 (.f64 (pow.f64 (+.f64 x 16) 2) 1/13456)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (.f64 (pow.f64 (+.f64 x 16) 2) 1/13456)) (cbrt.f64 (.f64 (+.f64 x 16) 1/116)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (+.f64 x 16)) 2) (.f64 (cbrt.f64 (+.f64 x 16)) 1/116))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (.f64 (+.f64 x 16) 1/116)) (sqrt.f64 (.f64 (+.f64 x 16) 1/116)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (+.f64 x 16)) (.f64 (sqrt.f64 (+.f64 x 16)) 1/116))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 -16 (neg.f64 x)) -1/116)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/116 (+.f64 x 16))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (+.f64 x 16) 1/116) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 (+.f64 x 16) 1/116) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (.f64 (+.f64 x 16) 1/116)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (.f64 (+.f64 x 16) 1/116)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 116 (+.f64 x 16)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (+.f64 x 16) -116))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (.f64 (pow.f64 (+.f64 x 16) 2) 1/13456))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (+.f64 x 16)) 1/116))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (.f64 (+.f64 x 16) 1/116) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 (+.f64 x 16) 1/116)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (.f64 (+.f64 x 16) 1/116)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (.f64 (+.f64 x 16) 1/116)))))))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 (+.f64 x 16) 1/116)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 x 16) 1/116)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 x 16) 1/116) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (+.f64 x 16) 1/116))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (+.f64 x 16) 1/116)) (cbrt.f64 (*.f64 (pow.f64 (+.f64 x 16) 2) 1/13456)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (pow.f64 (+.f64 x 16) 2) 1/13456)) (cbrt.f64 (*.f64 (+.f64 x 16) 1/116)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 x 16)) 2) (*.f64 (cbrt.f64 (+.f64 x 16)) 1/116))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 (+.f64 x 16) 1/116)) (sqrt.f64 (*.f64 (+.f64 x 16) 1/116)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 x 16)) (*.f64 (sqrt.f64 (+.f64 x 16)) 1/116))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 -16 (neg.f64 x)) -1/116)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/116 (+.f64 x 16))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (+.f64 x 16) 1/116) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (+.f64 x 16) 1/116) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (+.f64 x 16) 1/116)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (+.f64 x 16) 1/116)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 116 (+.f64 x 16)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (+.f64 x 16) -116))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 (+.f64 x 16) 2) 1/13456))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (+.f64 x 16)) 1/116))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (+.f64 x 16) 1/116) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (+.f64 x 16) 1/116)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (+.f64 x 16) 1/116)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (+.f64 x 16) 1/116)))))))

simplify39.0ms (2.7%)

Algorithm

1×	egg-herbie

Rules

715×	`fma-def_binary64`
537×	`associate-l_binary64`
496×	`log-prod_binary64`
467×	`associate-r_binary64`
230×	`associate-+l+_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	62	233
1	146	169
2	489	169
3	3762	169

Stop Event

1×	node limit

Counts

35 → 27

Calls

Call 1

Inputs
4/29
(+.f64 4/29 (*.f64 1/116 x))
(+.f64 4/29 (*.f64 1/116 x))
(+.f64 4/29 (*.f64 1/116 x))
(*.f64 1/116 x)
(+.f64 4/29 (*.f64 1/116 x))
(+.f64 4/29 (*.f64 1/116 x))
(+.f64 4/29 (*.f64 1/116 x))
(*.f64 1/116 x)
(+.f64 4/29 (*.f64 1/116 x))
(+.f64 4/29 (*.f64 1/116 x))
(+.f64 4/29 (*.f64 1/116 x))
(-.f64 (+.f64 1 (*.f64 (+.f64 x 16) 1/116)) 1)
(*.f64 (+.f64 x 16) 1/116)
(.f64 (.f64 (+.f64 x 16) 1/116) 1)
(.f64 1 (.f64 (+.f64 x 16) 1/116))
(.f64 (cbrt.f64 (.f64 (+.f64 x 16) 1/116)) (cbrt.f64 (*.f64 (pow.f64 (+.f64 x 16) 2) 1/13456)))
(.f64 (cbrt.f64 (.f64 (pow.f64 (+.f64 x 16) 2) 1/13456)) (cbrt.f64 (*.f64 (+.f64 x 16) 1/116)))
(.f64 (pow.f64 (cbrt.f64 (+.f64 x 16)) 2) (.f64 (cbrt.f64 (+.f64 x 16)) 1/116))
(.f64 (sqrt.f64 (.f64 (+.f64 x 16) 1/116)) (sqrt.f64 (*.f64 (+.f64 x 16) 1/116)))
(.f64 (sqrt.f64 (+.f64 x 16)) (.f64 (sqrt.f64 (+.f64 x 16)) 1/116))
(*.f64 (+.f64 -16 (neg.f64 x)) -1/116)
(*.f64 1/116 (+.f64 x 16))
(pow.f64 (*.f64 (+.f64 x 16) 1/116) 1)
(pow.f64 (pow.f64 (*.f64 (+.f64 x 16) 1/116) 3) 1/3)
(pow.f64 (cbrt.f64 (*.f64 (+.f64 x 16) 1/116)) 3)
(pow.f64 (sqrt.f64 (*.f64 (+.f64 x 16) 1/116)) 2)
(pow.f64 (/.f64 116 (+.f64 x 16)) -1)
(neg.f64 (/.f64 (+.f64 x 16) -116))
(sqrt.f64 (*.f64 (pow.f64 (+.f64 x 16) 2) 1/13456))
(log.f64 (pow.f64 (exp.f64 (+.f64 x 16)) 1/116))
(cbrt.f64 (pow.f64 (*.f64 (+.f64 x 16) 1/116) 3))
(expm1.f64 (log1p.f64 (*.f64 (+.f64 x 16) 1/116)))
(log1p.f64 (expm1.f64 (*.f64 (+.f64 x 16) 1/116)))
(exp.f64 (log.f64 (*.f64 (+.f64 x 16) 1/116)))

Outputs
4/29
(+.f64 4/29 (*.f64 1/116 x))
(fma.f64 1/116 x 4/29)
(+.f64 4/29 (*.f64 1/116 x))
(fma.f64 1/116 x 4/29)
(+.f64 4/29 (*.f64 1/116 x))
(fma.f64 1/116 x 4/29)
(*.f64 1/116 x)
(+.f64 4/29 (*.f64 1/116 x))
(fma.f64 1/116 x 4/29)
(+.f64 4/29 (*.f64 1/116 x))
(fma.f64 1/116 x 4/29)
(+.f64 4/29 (*.f64 1/116 x))
(fma.f64 1/116 x 4/29)
(*.f64 1/116 x)
(+.f64 4/29 (*.f64 1/116 x))
(fma.f64 1/116 x 4/29)
(+.f64 4/29 (*.f64 1/116 x))
(fma.f64 1/116 x 4/29)
(+.f64 4/29 (*.f64 1/116 x))
(fma.f64 1/116 x 4/29)
(-.f64 (+.f64 1 (*.f64 (+.f64 x 16) 1/116)) 1)
(+.f64 4/29 (*.f64 1/116 x))
(fma.f64 1/116 x 4/29)
(*.f64 (+.f64 x 16) 1/116)
(+.f64 4/29 (*.f64 1/116 x))
(fma.f64 1/116 x 4/29)
(.f64 (.f64 (+.f64 x 16) 1/116) 1)
(+.f64 4/29 (*.f64 1/116 x))
(fma.f64 1/116 x 4/29)
(.f64 1 (.f64 (+.f64 x 16) 1/116))
(+.f64 4/29 (*.f64 1/116 x))
(fma.f64 1/116 x 4/29)
(.f64 (cbrt.f64 (.f64 (+.f64 x 16) 1/116)) (cbrt.f64 (*.f64 (pow.f64 (+.f64 x 16) 2) 1/13456)))
(+.f64 4/29 (*.f64 1/116 x))
(fma.f64 1/116 x 4/29)
(.f64 (cbrt.f64 (.f64 (pow.f64 (+.f64 x 16) 2) 1/13456)) (cbrt.f64 (*.f64 (+.f64 x 16) 1/116)))
(+.f64 4/29 (*.f64 1/116 x))
(fma.f64 1/116 x 4/29)
(.f64 (pow.f64 (cbrt.f64 (+.f64 x 16)) 2) (.f64 (cbrt.f64 (+.f64 x 16)) 1/116))
(+.f64 4/29 (*.f64 1/116 x))
(fma.f64 1/116 x 4/29)
(.f64 (sqrt.f64 (.f64 (+.f64 x 16) 1/116)) (sqrt.f64 (*.f64 (+.f64 x 16) 1/116)))
(+.f64 4/29 (*.f64 1/116 x))
(fma.f64 1/116 x 4/29)
(.f64 (sqrt.f64 (+.f64 x 16)) (.f64 (sqrt.f64 (+.f64 x 16)) 1/116))
(+.f64 4/29 (*.f64 1/116 x))
(fma.f64 1/116 x 4/29)
(*.f64 (+.f64 -16 (neg.f64 x)) -1/116)
(+.f64 4/29 (*.f64 1/116 x))
(fma.f64 1/116 x 4/29)
(*.f64 1/116 (+.f64 x 16))
(+.f64 4/29 (*.f64 1/116 x))
(fma.f64 1/116 x 4/29)
(pow.f64 (*.f64 (+.f64 x 16) 1/116) 1)
(+.f64 4/29 (*.f64 1/116 x))
(fma.f64 1/116 x 4/29)
(pow.f64 (pow.f64 (*.f64 (+.f64 x 16) 1/116) 3) 1/3)
(+.f64 4/29 (*.f64 1/116 x))
(fma.f64 1/116 x 4/29)
(pow.f64 (cbrt.f64 (*.f64 (+.f64 x 16) 1/116)) 3)
(+.f64 4/29 (*.f64 1/116 x))
(fma.f64 1/116 x 4/29)
(pow.f64 (sqrt.f64 (*.f64 (+.f64 x 16) 1/116)) 2)
(+.f64 4/29 (*.f64 1/116 x))
(fma.f64 1/116 x 4/29)
(pow.f64 (/.f64 116 (+.f64 x 16)) -1)
(+.f64 4/29 (*.f64 1/116 x))
(fma.f64 1/116 x 4/29)
(neg.f64 (/.f64 (+.f64 x 16) -116))
(+.f64 4/29 (*.f64 1/116 x))
(fma.f64 1/116 x 4/29)
(sqrt.f64 (*.f64 (pow.f64 (+.f64 x 16) 2) 1/13456))
(+.f64 4/29 (*.f64 1/116 x))
(fma.f64 1/116 x 4/29)
(log.f64 (pow.f64 (exp.f64 (+.f64 x 16)) 1/116))
(+.f64 4/29 (*.f64 1/116 x))
(fma.f64 1/116 x 4/29)
(cbrt.f64 (pow.f64 (*.f64 (+.f64 x 16) 1/116) 3))
(+.f64 4/29 (*.f64 1/116 x))
(fma.f64 1/116 x 4/29)
(expm1.f64 (log1p.f64 (*.f64 (+.f64 x 16) 1/116)))
(+.f64 4/29 (*.f64 1/116 x))
(fma.f64 1/116 x 4/29)
(log1p.f64 (expm1.f64 (*.f64 (+.f64 x 16) 1/116)))
(+.f64 4/29 (*.f64 1/116 x))
(fma.f64 1/116 x 4/29)
(exp.f64 (log.f64 (*.f64 (+.f64 x 16) 1/116)))
(+.f64 4/29 (*.f64 1/116 x))
(fma.f64 1/116 x 4/29)

eval5.0ms (0.4%)

Compiler: Compiled 209 to 178 computations (14.8% saved)

prune5.0ms (0.3%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	23	4	27
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	23	5	28

Error

Counts

28 → 5

Alt Table

Click to see full alt table

Status	Error	Program
▶	29.2b	(pow.f64 (pow.f64 (*.f64 (+.f64 x 16) 1/116) 3) 1/3)
✓	0.0b	(/.f64 (+.f64 x 16) 116)
▶	0.1b	(+.f64 4/29 (*.f64 1/116 x))
▶	29.7b	(*.f64 1/116 x)
	33.8b	4/29

Compiler

Compiled 28 to 24 computations (14.3% saved)

localize3.0ms (0.2%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.1b	(*.f64 1/116 x)

Compiler

Compiled 6 to 4 computations (33.3% saved)

series2.0ms (0.1%)

Counts

1 → 0

Calls

3 calls:

Time	Variable		Point	Expression
1.0ms	x	@	-inf	(*.f64 1/116 x)
0.0ms	x	@	inf	(*.f64 1/116 x)
0.0ms	x	@	0	(*.f64 1/116 x)

rewrite39.0ms (2.7%)

Algorithm

1×	batch-egg-rewrite

Rules

345×	`pow1_binary64`
338×	`add-sqr-sqrt_binary64`
329×	`*-un-lft-identity_binary64`
321×	`add-log-exp_binary64`
321×	`log1p-expm1-u_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4	4
1	80	4
2	873	4

Stop Event

1×	node limit

Counts

1 → 25

Calls

Call 1

Inputs
(*.f64 1/116 x)

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 1 (.f64 1/116 x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 1/116 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (exp.f64 x) 1/232)) (log.f64 (pow.f64 (exp.f64 x) 1/232)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) 1/58))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) 1/116))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (.f64 1/116 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (+.f64 1 (.f64 1/116 x)) 3) 1) (+.f64 (.f64 (+.f64 1 (.f64 1/116 x)) (+.f64 1 (.f64 1/116 x))) (+.f64 1 (.f64 (+.f64 1 (.f64 1/116 x)) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (.f64 (+.f64 1 (.f64 1/116 x)) (+.f64 1 (.f64 1/116 x))) 1) (+.f64 (+.f64 1 (.f64 1/116 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 1/116 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 1/116 x) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (pow.f64 x 3) 1/1560896) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (.f64 1/116 x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (.f64 1/116 x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (E.f64) (log.f64 (.f64 1/116 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (.f64 1/116 x)))) (sqrt.f64 (log.f64 (.f64 1/116 x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (.f64 1/116 x))) 2)) (cbrt.f64 (log.f64 (.f64 1/116 x))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (.f64 1/116 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (.f64 1/116 x))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 x) 1/116))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 (pow.f64 x 3) 1/1560896))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 1/116 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (.f64 1/116 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (.f64 1/116 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 3 (log.f64 (.f64 1/116 x))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 1/116 x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 1/116 x))) 2))))))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 1 (*.f64 1/116 x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 1/116 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (exp.f64 x) 1/232)) (log.f64 (pow.f64 (exp.f64 x) 1/232)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) 1/58))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) 1/116))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 1/116 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (+.f64 1 (*.f64 1/116 x)) 3) 1) (+.f64 (*.f64 (+.f64 1 (*.f64 1/116 x)) (+.f64 1 (*.f64 1/116 x))) (+.f64 1 (*.f64 (+.f64 1 (*.f64 1/116 x)) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (+.f64 1 (*.f64 1/116 x)) (+.f64 1 (*.f64 1/116 x))) 1) (+.f64 (+.f64 1 (*.f64 1/116 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 1/116 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 1/116 x) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 x 3) 1/1560896) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 1/116 x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 1/116 x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (E.f64) (log.f64 (*.f64 1/116 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 1/116 x)))) (sqrt.f64 (log.f64 (*.f64 1/116 x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 1/116 x))) 2)) (cbrt.f64 (log.f64 (*.f64 1/116 x))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 1/116 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (*.f64 1/116 x))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 x) 1/116))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 x 3) 1/1560896))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 1/116 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 1/116 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 1/116 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (*.f64 1/116 x))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 1/116 x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 1/116 x))) 2))))))

simplify36.0ms (2.5%)

Algorithm

1×	egg-herbie

Rules

785×	`times-frac_binary64`
418×	`distribute-rgt-out_binary64`
371×	`fma-neg_binary64`
327×	`fma-def_binary64`
305×	`distribute-lft-out_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	77	316
1	192	181
2	592	177
3	3219	177

Stop Event

1×	node limit

Counts

25 → 30

Calls

Call 1

Inputs
(+.f64 (+.f64 1 (*.f64 1/116 x)) -1)
(+.f64 0 (*.f64 1/116 x))
(+.f64 (log.f64 (pow.f64 (exp.f64 x) 1/232)) (log.f64 (pow.f64 (exp.f64 x) 1/232)))
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) 1/58))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) 1/116))))
(-.f64 (+.f64 1 (*.f64 1/116 x)) 1)
(/.f64 (-.f64 (pow.f64 (+.f64 1 (.f64 1/116 x)) 3) 1) (+.f64 (.f64 (+.f64 1 (.f64 1/116 x)) (+.f64 1 (.f64 1/116 x))) (+.f64 1 (.f64 (+.f64 1 (.f64 1/116 x)) 1))))
(/.f64 (-.f64 (.f64 (+.f64 1 (.f64 1/116 x)) (+.f64 1 (.f64 1/116 x))) 1) (+.f64 (+.f64 1 (.f64 1/116 x)) 1))
(pow.f64 (*.f64 1/116 x) 1)
(pow.f64 (pow.f64 (*.f64 1/116 x) 2) 1/2)
(pow.f64 (*.f64 (pow.f64 x 3) 1/1560896) 1/3)
(pow.f64 (cbrt.f64 (*.f64 1/116 x)) 3)
(pow.f64 (sqrt.f64 (*.f64 1/116 x)) 2)
(pow.f64 (E.f64) (log.f64 (*.f64 1/116 x)))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (.f64 1/116 x)))) (sqrt.f64 (log.f64 (.f64 1/116 x))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (.f64 1/116 x))) 2)) (cbrt.f64 (log.f64 (.f64 1/116 x))))
(sqrt.f64 (pow.f64 (*.f64 1/116 x) 2))
(fabs.f64 (*.f64 1/116 x))
(log.f64 (pow.f64 (exp.f64 x) 1/116))
(cbrt.f64 (*.f64 (pow.f64 x 3) 1/1560896))
(expm1.f64 (log1p.f64 (*.f64 1/116 x)))
(log1p.f64 (expm1.f64 (*.f64 1/116 x)))
(exp.f64 (log.f64 (*.f64 1/116 x)))
(exp.f64 (.f64 (.f64 3 (log.f64 (*.f64 1/116 x))) 1/3))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 1/116 x))) 3))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 1/116 x))) 2))

Outputs
(+.f64 (+.f64 1 (*.f64 1/116 x)) -1)
(+.f64 1 (-.f64 (*.f64 1/116 x) 1))
(*.f64 1/116 x)
(+.f64 0 (*.f64 1/116 x))
(+.f64 1 (-.f64 (*.f64 1/116 x) 1))
(*.f64 1/116 x)
(+.f64 (log.f64 (pow.f64 (exp.f64 x) 1/232)) (log.f64 (pow.f64 (exp.f64 x) 1/232)))
(+.f64 1 (-.f64 (*.f64 1/116 x) 1))
(*.f64 1/116 x)
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) 1/58))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) 1/116))))
(-.f64 (+.f64 1 (*.f64 1/116 x)) 1)
(+.f64 1 (-.f64 (*.f64 1/116 x) 1))
(*.f64 1/116 x)
(/.f64 (-.f64 (pow.f64 (+.f64 1 (.f64 1/116 x)) 3) 1) (+.f64 (.f64 (+.f64 1 (.f64 1/116 x)) (+.f64 1 (.f64 1/116 x))) (+.f64 1 (.f64 (+.f64 1 (.f64 1/116 x)) 1))))
(/.f64 (+.f64 (pow.f64 (+.f64 1 (.f64 1/116 x)) 3) -1) (fma.f64 (+.f64 1 (.f64 1/116 x)) (+.f64 1 (.f64 1/116 x)) (+.f64 1 (+.f64 1 (.f64 1/116 x)))))
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 1/116 x 1) 3)) (fma.f64 (fma.f64 1/116 x 1) (fma.f64 1/116 x 1) (+.f64 (*.f64 1/116 x) 2)))
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 1/116 x 1) 3)) (+.f64 1 (*.f64 (fma.f64 1/116 x 1) (fma.f64 1/116 x 2))))
(/.f64 (-.f64 (.f64 (+.f64 1 (.f64 1/116 x)) (+.f64 1 (.f64 1/116 x))) 1) (+.f64 (+.f64 1 (.f64 1/116 x)) 1))
(+.f64 1 (-.f64 (*.f64 1/116 x) 1))
(*.f64 1/116 x)
(pow.f64 (*.f64 1/116 x) 1)
(+.f64 1 (-.f64 (*.f64 1/116 x) 1))
(*.f64 1/116 x)
(pow.f64 (pow.f64 (*.f64 1/116 x) 2) 1/2)
(+.f64 1 (-.f64 (*.f64 1/116 x) 1))
(*.f64 1/116 x)
(pow.f64 (*.f64 (pow.f64 x 3) 1/1560896) 1/3)
(+.f64 1 (-.f64 (*.f64 1/116 x) 1))
(*.f64 1/116 x)
(pow.f64 (cbrt.f64 (*.f64 1/116 x)) 3)
(+.f64 1 (-.f64 (*.f64 1/116 x) 1))
(*.f64 1/116 x)
(pow.f64 (sqrt.f64 (*.f64 1/116 x)) 2)
(+.f64 1 (-.f64 (*.f64 1/116 x) 1))
(*.f64 1/116 x)
(pow.f64 (E.f64) (log.f64 (*.f64 1/116 x)))
(+.f64 1 (-.f64 (*.f64 1/116 x) 1))
(*.f64 1/116 x)
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (.f64 1/116 x)))) (sqrt.f64 (log.f64 (.f64 1/116 x))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (.f64 1/116 x))) 2)) (cbrt.f64 (log.f64 (.f64 1/116 x))))
(sqrt.f64 (pow.f64 (*.f64 1/116 x) 2))
(+.f64 1 (-.f64 (*.f64 1/116 x) 1))
(*.f64 1/116 x)
(fabs.f64 (*.f64 1/116 x))
(+.f64 1 (-.f64 (*.f64 1/116 x) 1))
(*.f64 1/116 x)
(log.f64 (pow.f64 (exp.f64 x) 1/116))
(+.f64 1 (-.f64 (*.f64 1/116 x) 1))
(*.f64 1/116 x)
(cbrt.f64 (*.f64 (pow.f64 x 3) 1/1560896))
(+.f64 1 (-.f64 (*.f64 1/116 x) 1))
(*.f64 1/116 x)
(expm1.f64 (log1p.f64 (*.f64 1/116 x)))
(+.f64 1 (-.f64 (*.f64 1/116 x) 1))
(*.f64 1/116 x)
(log1p.f64 (expm1.f64 (*.f64 1/116 x)))
(+.f64 1 (-.f64 (*.f64 1/116 x) 1))
(*.f64 1/116 x)
(exp.f64 (log.f64 (*.f64 1/116 x)))
(+.f64 1 (-.f64 (*.f64 1/116 x) 1))
(*.f64 1/116 x)
(exp.f64 (.f64 (.f64 3 (log.f64 (*.f64 1/116 x))) 1/3))
(+.f64 1 (-.f64 (*.f64 1/116 x) 1))
(*.f64 1/116 x)
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 1/116 x))) 3))
(+.f64 1 (-.f64 (*.f64 1/116 x) 1))
(*.f64 1/116 x)
(exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 1/116 x))) 2))
(+.f64 1 (-.f64 (*.f64 1/116 x) 1))
(*.f64 1/116 x)

localize5.0ms (0.3%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 4/29 (*.f64 1/116 x))
	0.1b	(*.f64 1/116 x)

Compiler

Compiled 12 to 9 computations (25% saved)

series1.0ms (0.1%)

Counts

1 → 3

Calls

3 calls:

Time	Variable		Point	Expression
0.0ms	x	@	inf	(+.f64 4/29 (*.f64 1/116 x))
0.0ms	x	@	0	(+.f64 4/29 (*.f64 1/116 x))
0.0ms	x	@	-inf	(+.f64 4/29 (*.f64 1/116 x))

rewrite39.0ms (2.7%)

Algorithm

1×	batch-egg-rewrite

Rules

653×	`pow1_binary64`
618×	`add-log-exp_binary64`
618×	`log1p-expm1-u_binary64`
618×	`expm1-log1p-u_binary64`
609×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	6	7
1	132	5
2	1606	5

Stop Event

1×	node limit

Counts

1 → 32

Calls

Call 1

Inputs
(+.f64 4/29 (*.f64 1/116 x))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (fma.f64 1/116 x 4/29)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 16/841 (+.f64 4/29 (*.f64 -1/116 x))) (/.f64 (*.f64 1/13456 (*.f64 x x)) (+.f64 4/29 (*.f64 -1/116 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 1/116 x 4/29) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 1/116 x 4/29))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 1/116 x 4/29)) (pow.f64 (cbrt.f64 (fma.f64 1/116 x 4/29)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 1/116 x 4/29)) 2) (cbrt.f64 (fma.f64 1/116 x 4/29)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 1/116 x 4/29)) (sqrt.f64 (fma.f64 1/116 x 4/29)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 64/24389 (*.f64 1/1560896 (pow.f64 x 3))) (/.f64 1 (+.f64 16/841 (-.f64 (*.f64 1/13456 (*.f64 x x)) (*.f64 1/841 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 16/841 (*.f64 1/13456 (*.f64 x x))) (/.f64 1 (+.f64 4/29 (*.f64 -1/116 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 16/841 (-.f64 (*.f64 1/13456 (*.f64 x x)) (*.f64 1/841 x))) (+.f64 64/24389 (*.f64 1/1560896 (pow.f64 x 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 4/29 (*.f64 -1/116 x)) (-.f64 16/841 (*.f64 1/13456 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 64/24389 (*.f64 1/1560896 (pow.f64 x 3))) (+.f64 16/841 (-.f64 (*.f64 1/13456 (*.f64 x x)) (*.f64 1/841 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 64/24389 (*.f64 1/1560896 (pow.f64 x 3))) (+.f64 (*.f64 1/13456 (*.f64 x x)) (-.f64 16/841 (*.f64 1/841 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 16/841 (*.f64 1/13456 (*.f64 x x))) (+.f64 4/29 (*.f64 -1/116 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 64/24389 (*.f64 1/1560896 (pow.f64 x 3)))) (neg.f64 (+.f64 16/841 (-.f64 (*.f64 1/13456 (*.f64 x x)) (*.f64 1/841 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 16/841 (*.f64 1/13456 (*.f64 x x)))) (neg.f64 (+.f64 4/29 (*.f64 -1/116 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 1/13456 (*.f64 x x)) 16/841) (-.f64 (*.f64 1/116 x) 4/29))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 1/116 x 4/29) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 1/116 x 4/29) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 1/116 x 4/29)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 1/116 x 4/29)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 1/116 x 4/29) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 1/116 x 4/29)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 1/116 x 4/29) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 1/116 x 4/29)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 1/116 x 4/29)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 1/116 x 4/29)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1/116 x 4/29)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x 1/116 4/29)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 1/116 x) 4/29)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 1/13456 (*.f64 x x))) (cbrt.f64 (*.f64 1/116 x)) 4/29)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 1/116 x)) (sqrt.f64 (*.f64 1/116 x)) 4/29)))))

simplify37.0ms (2.5%)

Algorithm

1×	egg-herbie

Rules

656×	`fma-def_binary64`
606×	`distribute-rgt-in_binary64`
580×	`distribute-lft-in_binary64`
362×	`times-frac_binary64`
320×	`fma-neg_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	85	516
1	203	404
2	654	312
3	3392	312

Stop Event

1×	node limit

Counts

35 → 45

Calls

Call 1

Inputs
4/29
(*.f64 1/116 x)
(*.f64 1/116 x)
(-.f64 (+.f64 1 (fma.f64 1/116 x 4/29)) 1)
(-.f64 (/.f64 16/841 (+.f64 4/29 (.f64 -1/116 x))) (/.f64 (.f64 1/13456 (.f64 x x)) (+.f64 4/29 (.f64 -1/116 x))))
(*.f64 (fma.f64 1/116 x 4/29) 1)
(*.f64 1 (fma.f64 1/116 x 4/29))
(*.f64 (cbrt.f64 (fma.f64 1/116 x 4/29)) (pow.f64 (cbrt.f64 (fma.f64 1/116 x 4/29)) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 1/116 x 4/29)) 2) (cbrt.f64 (fma.f64 1/116 x 4/29)))
(*.f64 (sqrt.f64 (fma.f64 1/116 x 4/29)) (sqrt.f64 (fma.f64 1/116 x 4/29)))
(.f64 (+.f64 64/24389 (.f64 1/1560896 (pow.f64 x 3))) (/.f64 1 (+.f64 16/841 (-.f64 (.f64 1/13456 (.f64 x x)) (*.f64 1/841 x)))))
(.f64 (-.f64 16/841 (.f64 1/13456 (.f64 x x))) (/.f64 1 (+.f64 4/29 (.f64 -1/116 x))))
(/.f64 1 (/.f64 (+.f64 16/841 (-.f64 (.f64 1/13456 (.f64 x x)) (.f64 1/841 x))) (+.f64 64/24389 (.f64 1/1560896 (pow.f64 x 3)))))
(/.f64 1 (/.f64 (+.f64 4/29 (.f64 -1/116 x)) (-.f64 16/841 (.f64 1/13456 (*.f64 x x)))))
(/.f64 (+.f64 64/24389 (.f64 1/1560896 (pow.f64 x 3))) (+.f64 16/841 (-.f64 (.f64 1/13456 (.f64 x x)) (.f64 1/841 x))))
(/.f64 (+.f64 64/24389 (.f64 1/1560896 (pow.f64 x 3))) (+.f64 (.f64 1/13456 (.f64 x x)) (-.f64 16/841 (.f64 1/841 x))))
(/.f64 (-.f64 16/841 (.f64 1/13456 (.f64 x x))) (+.f64 4/29 (*.f64 -1/116 x)))
(/.f64 (neg.f64 (+.f64 64/24389 (.f64 1/1560896 (pow.f64 x 3)))) (neg.f64 (+.f64 16/841 (-.f64 (.f64 1/13456 (.f64 x x)) (.f64 1/841 x)))))
(/.f64 (neg.f64 (-.f64 16/841 (.f64 1/13456 (.f64 x x)))) (neg.f64 (+.f64 4/29 (*.f64 -1/116 x))))
(/.f64 (-.f64 (.f64 1/13456 (.f64 x x)) 16/841) (-.f64 (*.f64 1/116 x) 4/29))
(pow.f64 (fma.f64 1/116 x 4/29) 1)
(pow.f64 (pow.f64 (fma.f64 1/116 x 4/29) 3) 1/3)
(pow.f64 (cbrt.f64 (fma.f64 1/116 x 4/29)) 3)
(pow.f64 (sqrt.f64 (fma.f64 1/116 x 4/29)) 2)
(sqrt.f64 (pow.f64 (fma.f64 1/116 x 4/29) 2))
(log.f64 (exp.f64 (fma.f64 1/116 x 4/29)))
(cbrt.f64 (pow.f64 (fma.f64 1/116 x 4/29) 3))
(expm1.f64 (log1p.f64 (fma.f64 1/116 x 4/29)))
(log1p.f64 (expm1.f64 (fma.f64 1/116 x 4/29)))
(exp.f64 (log.f64 (fma.f64 1/116 x 4/29)))
(fma.f64 1/116 x 4/29)
(fma.f64 x 1/116 4/29)
(fma.f64 1 (*.f64 1/116 x) 4/29)
(fma.f64 (cbrt.f64 (.f64 1/13456 (.f64 x x))) (cbrt.f64 (*.f64 1/116 x)) 4/29)
(fma.f64 (sqrt.f64 (.f64 1/116 x)) (sqrt.f64 (.f64 1/116 x)) 4/29)

Outputs
4/29
(*.f64 1/116 x)
(*.f64 1/116 x)
(-.f64 (+.f64 1 (fma.f64 1/116 x 4/29)) 1)
(+.f64 1 (-.f64 (fma.f64 1/116 x 4/29) 1))
(+.f64 (fma.f64 1/116 x 4/29) 0)
(fma.f64 1/116 x 4/29)
(-.f64 (/.f64 16/841 (+.f64 4/29 (.f64 -1/116 x))) (/.f64 (.f64 1/13456 (.f64 x x)) (+.f64 4/29 (.f64 -1/116 x))))
(/.f64 (-.f64 16/841 (.f64 (.f64 1/13456 x) x)) (+.f64 4/29 (*.f64 x -1/116)))
(/.f64 (+.f64 16/841 (.f64 (.f64 x x) -1/13456)) (fma.f64 x -1/116 4/29))
(/.f64 (fma.f64 (*.f64 x x) -1/13456 16/841) (fma.f64 x -1/116 4/29))
(/.f64 (fma.f64 x (*.f64 x 1/13456) -16/841) (fma.f64 1/116 x -4/29))
(*.f64 (fma.f64 1/116 x 4/29) 1)
(+.f64 1 (-.f64 (fma.f64 1/116 x 4/29) 1))
(+.f64 (fma.f64 1/116 x 4/29) 0)
(fma.f64 1/116 x 4/29)
(*.f64 1 (fma.f64 1/116 x 4/29))
(+.f64 1 (-.f64 (fma.f64 1/116 x 4/29) 1))
(+.f64 (fma.f64 1/116 x 4/29) 0)
(fma.f64 1/116 x 4/29)
(*.f64 (cbrt.f64 (fma.f64 1/116 x 4/29)) (pow.f64 (cbrt.f64 (fma.f64 1/116 x 4/29)) 2))
(+.f64 1 (-.f64 (fma.f64 1/116 x 4/29) 1))
(+.f64 (fma.f64 1/116 x 4/29) 0)
(fma.f64 1/116 x 4/29)
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 1/116 x 4/29)) 2) (cbrt.f64 (fma.f64 1/116 x 4/29)))
(+.f64 1 (-.f64 (fma.f64 1/116 x 4/29) 1))
(+.f64 (fma.f64 1/116 x 4/29) 0)
(fma.f64 1/116 x 4/29)
(*.f64 (sqrt.f64 (fma.f64 1/116 x 4/29)) (sqrt.f64 (fma.f64 1/116 x 4/29)))
(+.f64 1 (-.f64 (fma.f64 1/116 x 4/29) 1))
(+.f64 (fma.f64 1/116 x 4/29) 0)
(fma.f64 1/116 x 4/29)
(.f64 (+.f64 64/24389 (.f64 1/1560896 (pow.f64 x 3))) (/.f64 1 (+.f64 16/841 (-.f64 (.f64 1/13456 (.f64 x x)) (*.f64 1/841 x)))))
(.f64 (+.f64 64/24389 (.f64 1/1560896 (pow.f64 x 3))) (/.f64 1 (-.f64 (+.f64 16/841 (.f64 (.f64 1/13456 x) x)) (*.f64 x 1/841))))
(/.f64 (fma.f64 1/1560896 (pow.f64 x 3) 64/24389) (+.f64 16/841 (.f64 x (-.f64 (.f64 x 1/13456) 1/841))))
(/.f64 (fma.f64 1/1560896 (pow.f64 x 3) 64/24389) (fma.f64 x (fma.f64 x 1/13456 -1/841) 16/841))
(.f64 (-.f64 16/841 (.f64 1/13456 (.f64 x x))) (/.f64 1 (+.f64 4/29 (.f64 -1/116 x))))
(/.f64 (-.f64 16/841 (.f64 (.f64 1/13456 x) x)) (+.f64 4/29 (*.f64 x -1/116)))
(/.f64 (+.f64 16/841 (.f64 (.f64 x x) -1/13456)) (fma.f64 x -1/116 4/29))
(/.f64 (fma.f64 (*.f64 x x) -1/13456 16/841) (fma.f64 x -1/116 4/29))
(/.f64 (fma.f64 x (*.f64 x 1/13456) -16/841) (fma.f64 1/116 x -4/29))
(/.f64 1 (/.f64 (+.f64 16/841 (-.f64 (.f64 1/13456 (.f64 x x)) (.f64 1/841 x))) (+.f64 64/24389 (.f64 1/1560896 (pow.f64 x 3)))))
(.f64 (+.f64 64/24389 (.f64 1/1560896 (pow.f64 x 3))) (/.f64 1 (-.f64 (+.f64 16/841 (.f64 (.f64 1/13456 x) x)) (*.f64 x 1/841))))
(/.f64 (fma.f64 1/1560896 (pow.f64 x 3) 64/24389) (+.f64 16/841 (.f64 x (-.f64 (.f64 x 1/13456) 1/841))))
(/.f64 (fma.f64 1/1560896 (pow.f64 x 3) 64/24389) (fma.f64 x (fma.f64 x 1/13456 -1/841) 16/841))
(/.f64 1 (/.f64 (+.f64 4/29 (.f64 -1/116 x)) (-.f64 16/841 (.f64 1/13456 (*.f64 x x)))))
(/.f64 (-.f64 16/841 (.f64 (.f64 1/13456 x) x)) (+.f64 4/29 (*.f64 x -1/116)))
(/.f64 (+.f64 16/841 (.f64 (.f64 x x) -1/13456)) (fma.f64 x -1/116 4/29))
(/.f64 (fma.f64 (*.f64 x x) -1/13456 16/841) (fma.f64 x -1/116 4/29))
(/.f64 (fma.f64 x (*.f64 x 1/13456) -16/841) (fma.f64 1/116 x -4/29))
(/.f64 (+.f64 64/24389 (.f64 1/1560896 (pow.f64 x 3))) (+.f64 16/841 (-.f64 (.f64 1/13456 (.f64 x x)) (.f64 1/841 x))))
(.f64 (+.f64 64/24389 (.f64 1/1560896 (pow.f64 x 3))) (/.f64 1 (-.f64 (+.f64 16/841 (.f64 (.f64 1/13456 x) x)) (*.f64 x 1/841))))
(/.f64 (fma.f64 1/1560896 (pow.f64 x 3) 64/24389) (+.f64 16/841 (.f64 x (-.f64 (.f64 x 1/13456) 1/841))))
(/.f64 (fma.f64 1/1560896 (pow.f64 x 3) 64/24389) (fma.f64 x (fma.f64 x 1/13456 -1/841) 16/841))
(/.f64 (+.f64 64/24389 (.f64 1/1560896 (pow.f64 x 3))) (+.f64 (.f64 1/13456 (.f64 x x)) (-.f64 16/841 (.f64 1/841 x))))
(.f64 (+.f64 64/24389 (.f64 1/1560896 (pow.f64 x 3))) (/.f64 1 (-.f64 (+.f64 16/841 (.f64 (.f64 1/13456 x) x)) (*.f64 x 1/841))))
(/.f64 (fma.f64 1/1560896 (pow.f64 x 3) 64/24389) (+.f64 16/841 (.f64 x (-.f64 (.f64 x 1/13456) 1/841))))
(/.f64 (fma.f64 1/1560896 (pow.f64 x 3) 64/24389) (fma.f64 x (fma.f64 x 1/13456 -1/841) 16/841))
(/.f64 (-.f64 16/841 (.f64 1/13456 (.f64 x x))) (+.f64 4/29 (*.f64 -1/116 x)))
(/.f64 (-.f64 16/841 (.f64 (.f64 1/13456 x) x)) (+.f64 4/29 (*.f64 x -1/116)))
(/.f64 (+.f64 16/841 (.f64 (.f64 x x) -1/13456)) (fma.f64 x -1/116 4/29))
(/.f64 (fma.f64 (*.f64 x x) -1/13456 16/841) (fma.f64 x -1/116 4/29))
(/.f64 (fma.f64 x (*.f64 x 1/13456) -16/841) (fma.f64 1/116 x -4/29))
(/.f64 (neg.f64 (+.f64 64/24389 (.f64 1/1560896 (pow.f64 x 3)))) (neg.f64 (+.f64 16/841 (-.f64 (.f64 1/13456 (.f64 x x)) (.f64 1/841 x)))))
(.f64 (+.f64 64/24389 (.f64 1/1560896 (pow.f64 x 3))) (/.f64 1 (-.f64 (+.f64 16/841 (.f64 (.f64 1/13456 x) x)) (*.f64 x 1/841))))
(/.f64 (fma.f64 1/1560896 (pow.f64 x 3) 64/24389) (+.f64 16/841 (.f64 x (-.f64 (.f64 x 1/13456) 1/841))))
(/.f64 (fma.f64 1/1560896 (pow.f64 x 3) 64/24389) (fma.f64 x (fma.f64 x 1/13456 -1/841) 16/841))
(/.f64 (neg.f64 (-.f64 16/841 (.f64 1/13456 (.f64 x x)))) (neg.f64 (+.f64 4/29 (*.f64 -1/116 x))))
(/.f64 (-.f64 16/841 (.f64 (.f64 1/13456 x) x)) (+.f64 4/29 (*.f64 x -1/116)))
(/.f64 (+.f64 16/841 (.f64 (.f64 x x) -1/13456)) (fma.f64 x -1/116 4/29))
(/.f64 (fma.f64 (*.f64 x x) -1/13456 16/841) (fma.f64 x -1/116 4/29))
(/.f64 (fma.f64 x (*.f64 x 1/13456) -16/841) (fma.f64 1/116 x -4/29))
(/.f64 (-.f64 (.f64 1/13456 (.f64 x x)) 16/841) (-.f64 (*.f64 1/116 x) 4/29))
(/.f64 (-.f64 16/841 (.f64 (.f64 1/13456 x) x)) (+.f64 4/29 (*.f64 x -1/116)))
(/.f64 (+.f64 16/841 (.f64 (.f64 x x) -1/13456)) (fma.f64 x -1/116 4/29))
(/.f64 (fma.f64 (*.f64 x x) -1/13456 16/841) (fma.f64 x -1/116 4/29))
(/.f64 (fma.f64 x (*.f64 x 1/13456) -16/841) (fma.f64 1/116 x -4/29))
(pow.f64 (fma.f64 1/116 x 4/29) 1)
(+.f64 1 (-.f64 (fma.f64 1/116 x 4/29) 1))
(+.f64 (fma.f64 1/116 x 4/29) 0)
(fma.f64 1/116 x 4/29)
(pow.f64 (pow.f64 (fma.f64 1/116 x 4/29) 3) 1/3)
(+.f64 1 (-.f64 (fma.f64 1/116 x 4/29) 1))
(+.f64 (fma.f64 1/116 x 4/29) 0)
(fma.f64 1/116 x 4/29)
(pow.f64 (cbrt.f64 (fma.f64 1/116 x 4/29)) 3)
(+.f64 1 (-.f64 (fma.f64 1/116 x 4/29) 1))
(+.f64 (fma.f64 1/116 x 4/29) 0)
(fma.f64 1/116 x 4/29)
(pow.f64 (sqrt.f64 (fma.f64 1/116 x 4/29)) 2)
(+.f64 1 (-.f64 (fma.f64 1/116 x 4/29) 1))
(+.f64 (fma.f64 1/116 x 4/29) 0)
(fma.f64 1/116 x 4/29)
(sqrt.f64 (pow.f64 (fma.f64 1/116 x 4/29) 2))
(+.f64 1 (-.f64 (fma.f64 1/116 x 4/29) 1))
(+.f64 (fma.f64 1/116 x 4/29) 0)
(fma.f64 1/116 x 4/29)
(log.f64 (exp.f64 (fma.f64 1/116 x 4/29)))
(+.f64 1 (-.f64 (fma.f64 1/116 x 4/29) 1))
(+.f64 (fma.f64 1/116 x 4/29) 0)
(fma.f64 1/116 x 4/29)
(cbrt.f64 (pow.f64 (fma.f64 1/116 x 4/29) 3))
(+.f64 1 (-.f64 (fma.f64 1/116 x 4/29) 1))
(+.f64 (fma.f64 1/116 x 4/29) 0)
(fma.f64 1/116 x 4/29)
(expm1.f64 (log1p.f64 (fma.f64 1/116 x 4/29)))
(+.f64 1 (-.f64 (fma.f64 1/116 x 4/29) 1))
(+.f64 (fma.f64 1/116 x 4/29) 0)
(fma.f64 1/116 x 4/29)
(log1p.f64 (expm1.f64 (fma.f64 1/116 x 4/29)))
(+.f64 1 (-.f64 (fma.f64 1/116 x 4/29) 1))
(+.f64 (fma.f64 1/116 x 4/29) 0)
(fma.f64 1/116 x 4/29)
(exp.f64 (log.f64 (fma.f64 1/116 x 4/29)))
(+.f64 1 (-.f64 (fma.f64 1/116 x 4/29) 1))
(+.f64 (fma.f64 1/116 x 4/29) 0)
(fma.f64 1/116 x 4/29)
(fma.f64 1/116 x 4/29)
(+.f64 1 (-.f64 (fma.f64 1/116 x 4/29) 1))
(+.f64 (fma.f64 1/116 x 4/29) 0)
(fma.f64 x 1/116 4/29)
(+.f64 1 (-.f64 (fma.f64 1/116 x 4/29) 1))
(+.f64 (fma.f64 1/116 x 4/29) 0)
(fma.f64 1/116 x 4/29)
(fma.f64 1 (*.f64 1/116 x) 4/29)
(+.f64 1 (-.f64 (fma.f64 1/116 x 4/29) 1))
(+.f64 (fma.f64 1/116 x 4/29) 0)
(fma.f64 1/116 x 4/29)
(fma.f64 (cbrt.f64 (.f64 1/13456 (.f64 x x))) (cbrt.f64 (*.f64 1/116 x)) 4/29)
(fma.f64 (cbrt.f64 (.f64 (.f64 1/13456 x) x)) (cbrt.f64 (*.f64 1/116 x)) 4/29)
(fma.f64 (cbrt.f64 (.f64 x (.f64 x 1/13456))) (cbrt.f64 (*.f64 1/116 x)) 4/29)
(fma.f64 (sqrt.f64 (.f64 1/116 x)) (sqrt.f64 (.f64 1/116 x)) 4/29)
(+.f64 1 (-.f64 (fma.f64 1/116 x 4/29) 1))
(+.f64 (fma.f64 1/116 x 4/29) 0)
(fma.f64 1/116 x 4/29)

localize13.0ms (0.9%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.1b	(*.f64 (+.f64 x 16) 1/116)
✓	0.2b	(pow.f64 (*.f64 (+.f64 x 16) 1/116) 3)
✓	21.0b	(pow.f64 (pow.f64 (*.f64 (+.f64 x 16) 1/116) 3) 1/3)

Compiler

Compiled 30 to 25 computations (16.7% saved)

series7.0ms (0.5%)

Counts

3 → 36

Calls

9 calls:

Time	Variable		Point	Expression
2.0ms	x	@	inf	(pow.f64 (pow.f64 (*.f64 (+.f64 x 16) 1/116) 3) 1/3)
2.0ms	x	@	0	(pow.f64 (pow.f64 (*.f64 (+.f64 x 16) 1/116) 3) 1/3)
2.0ms	x	@	-inf	(pow.f64 (pow.f64 (*.f64 (+.f64 x 16) 1/116) 3) 1/3)
0.0ms	x	@	inf	(pow.f64 (*.f64 (+.f64 x 16) 1/116) 3)
0.0ms	x	@	-inf	(pow.f64 (*.f64 (+.f64 x 16) 1/116) 3)

rewrite52.0ms (3.6%)

Algorithm

1×	batch-egg-rewrite

Rules

900×	`pow1_binary64`
860×	`add-log-exp_binary64`
859×	`log1p-expm1-u_binary64`
859×	`expm1-log1p-u_binary64`
844×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	24
1	233	24
2	2366	24

Stop Event

1×	node limit

Counts

3 → 76

Calls

Call 1

Inputs
(pow.f64 (pow.f64 (*.f64 (+.f64 x 16) 1/116) 3) 1/3)
(pow.f64 (*.f64 (+.f64 x 16) 1/116) 3)
(*.f64 (+.f64 x 16) 1/116)

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x 1/116) 4/29)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 4/29 (*.f64 x 1/116))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 4/29 (*.f64 1/116 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1/116 x) 4/29)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (+.f64 (*.f64 x 1/116) 4/29)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 x 16) 1/116)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 x 16) (pow.f64 1/1560896 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/116 (+.f64 x 16))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (*.f64 x 1/116) 4/29) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (*.f64 x 1/116) 4/29))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 (*.f64 x 1/116) 4/29)) (cbrt.f64 (*.f64 1/13456 (pow.f64 (+.f64 x 16) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 (*.f64 x 1/116) 4/29)) (pow.f64 (*.f64 1/13456 (pow.f64 (+.f64 x 16) 2)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 1/13456 (pow.f64 (+.f64 x 16) 2))) (cbrt.f64 (+.f64 (*.f64 x 1/116) 4/29)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 x 16)) 2) (*.f64 (cbrt.f64 (+.f64 x 16)) 1/116))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 (*.f64 x 1/116) 4/29)) (sqrt.f64 (+.f64 (*.f64 x 1/116) 4/29)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 x 16)) (*.f64 (sqrt.f64 (+.f64 x 16)) 1/116))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 1/13456 (pow.f64 (+.f64 x 16) 2)) 1/3) (cbrt.f64 (+.f64 (*.f64 x 1/116) 4/29)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (+.f64 (*.f64 x 1/116) 4/29))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (+.f64 (*.f64 x 1/116) 4/29) 3/2) 1/3) (pow.f64 (pow.f64 (+.f64 (*.f64 x 1/116) 4/29) 3/2) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 1/116 (pow.f64 (cbrt.f64 (+.f64 x 16)) 2)) (cbrt.f64 (+.f64 x 16)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 1/116 (sqrt.f64 (+.f64 x 16))) (sqrt.f64 (+.f64 x 16)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 4096 (pow.f64 x 3)) 1/116) (fma.f64 x x (-.f64 256 (*.f64 x 16))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (fma.f64 x x -256) 1/116) (+.f64 x -16))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1/116 (+.f64 4096 (pow.f64 x 3))) (fma.f64 x x (-.f64 256 (*.f64 x 16))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1/116 (fma.f64 x x -256)) (+.f64 x -16))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 1/13456 (pow.f64 (+.f64 x 16) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 1/116) (+.f64 x 16)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 1/1560896 (pow.f64 (+.f64 x 16) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 (*.f64 x 1/116) 4/29)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 (*.f64 x 1/116) 4/29)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 (*.f64 x 1/116) 4/29)))))))

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 1/1560896 (pow.f64 (+.f64 x 16) 3))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 x 16) (*.f64 1/116 (*.f64 1/13456 (pow.f64 (+.f64 x 16) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/116 (*.f64 (+.f64 x 16) (*.f64 1/13456 (pow.f64 (+.f64 x 16) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (*.f64 x 1/116) 4/29) (*.f64 1/13456 (pow.f64 (+.f64 x 16) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 1/1560896 (pow.f64 (+.f64 x 16) 3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 1/1560896 (pow.f64 (+.f64 x 16) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/1560896 (pow.f64 (+.f64 x 16) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 1/13456 (pow.f64 (+.f64 x 16) 2)) (+.f64 (*.f64 x 1/116) 4/29))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 1/13456 (pow.f64 (+.f64 x 16) 2))) (*.f64 (cbrt.f64 (+.f64 (*.f64 x 1/116) 4/29)) (*.f64 1/13456 (pow.f64 (+.f64 x 16) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 (*.f64 x 1/116) 4/29)) (*.f64 (sqrt.f64 (+.f64 (*.f64 x 1/116) 4/29)) (*.f64 1/13456 (pow.f64 (+.f64 x 16) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (+.f64 x 16) 3) 1/1560896)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (+.f64 (*.f64 x 1/116) 4/29) 3/2) (pow.f64 (+.f64 (*.f64 x 1/116) 4/29) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 1/13456 (pow.f64 (+.f64 x 16) 2))) 3) (+.f64 (*.f64 x 1/116) 4/29))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (+.f64 (*.f64 x 1/116) 4/29)) 3) (pow.f64 (sqrt.f64 (+.f64 (*.f64 x 1/116) 4/29)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 1/13456 (pow.f64 (+.f64 x 16) 2)) (+.f64 x 16)) 1/116)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 1/13456 (pow.f64 (+.f64 x 16) 2)) 1/116) (+.f64 x 16))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 1/13456 (pow.f64 (+.f64 x 16) 2)) 1) (+.f64 (*.f64 x 1/116) 4/29))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 1/13456 (pow.f64 (+.f64 x 16) 2)) (cbrt.f64 (*.f64 1/13456 (pow.f64 (+.f64 x 16) 2)))) (cbrt.f64 (+.f64 (*.f64 x 1/116) 4/29)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 1/13456 (pow.f64 (+.f64 x 16) 2)) (sqrt.f64 (+.f64 (*.f64 x 1/116) 4/29))) (sqrt.f64 (+.f64 (*.f64 x 1/116) 4/29)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 (*.f64 x 1/116) 4/29) 6))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (pow.f64 (+.f64 x 16) 3)) 1/1560896))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 1/1560896 (pow.f64 (+.f64 x 16) 3)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 1/1560896 (pow.f64 (+.f64 x 16) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 1/1560896 (pow.f64 (+.f64 x 16) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 3 (log.f64 (+.f64 (*.f64 x 1/116) 4/29))))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x 1/116) 4/29)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 4/29 (*.f64 x 1/116))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 4/29 (*.f64 1/116 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1/116 x) 4/29)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (+.f64 (*.f64 x 1/116) 4/29)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 4096 (pow.f64 x 3)) 1/116) (fma.f64 x x (-.f64 256 (*.f64 x 16))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (fma.f64 x x -256) 1/116) (+.f64 x -16))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1/116 (+.f64 4096 (pow.f64 x 3))) (fma.f64 x x (-.f64 256 (*.f64 x 16))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1/116 (fma.f64 x x -256)) (+.f64 x -16))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 (*.f64 x 1/116) 4/29) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 1/1560896 (pow.f64 (+.f64 x 16) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 (*.f64 x 1/116) 4/29) 6) 1/6)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 (*.f64 x 1/116) 4/29)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 (*.f64 x 1/116) 4/29)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 1/13456 (pow.f64 (+.f64 x 16) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 1/116) (+.f64 x 16)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 1/1560896 (pow.f64 (+.f64 x 16) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 (*.f64 x 1/116) 4/29)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 (*.f64 x 1/116) 4/29)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 (*.f64 x 1/116) 4/29)))))))

simplify73.0ms (5%)

Algorithm

1×	egg-herbie

Rules

717×	`fma-def_binary64`
549×	`fma-neg_binary64`
388×	`distribute-rgt-in_binary64`
371×	`distribute-lft-in_binary64`
344×	`associate-/r*_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	252	1674
1	698	1532
2	2251	1397
3	7928	1397

Stop Event

1×	node limit

Counts

112 → 145

Calls

Call 1

Inputs
(cbrt.f64 64/24389)
(+.f64 (.f64 4/24389 (.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 64/24389) 2)) 1/3) x)) (cbrt.f64 64/24389))
(+.f64 (.f64 4/24389 (.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 64/24389) 2)) 1/3) x)) (+.f64 (.f64 1/3 (/.f64 (.f64 (-.f64 3/97556 (*.f64 48/594823321 (pow.f64 (/.f64 1 (cbrt.f64 64/24389)) 1/3))) (pow.f64 x 2)) (pow.f64 (cbrt.f64 64/24389) 2))) (cbrt.f64 64/24389)))
(+.f64 (.f64 4/24389 (.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 64/24389) 2)) 1/3) x)) (+.f64 (.f64 1/3 (/.f64 (.f64 (-.f64 1/1560896 (+.f64 (.f64 8/24389 (.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 64/24389) 5)) 1/3) (-.f64 3/97556 (.f64 48/594823321 (pow.f64 (/.f64 1 (cbrt.f64 64/24389)) 1/3))))) (.f64 64/14507145975869 (/.f64 1 (pow.f64 (cbrt.f64 64/24389) 2))))) (pow.f64 x 3)) (pow.f64 (cbrt.f64 64/24389) 2))) (+.f64 (.f64 1/3 (/.f64 (.f64 (-.f64 3/97556 (*.f64 48/594823321 (pow.f64 (/.f64 1 (cbrt.f64 64/24389)) 1/3))) (pow.f64 x 2)) (pow.f64 (cbrt.f64 64/24389) 2))) (cbrt.f64 64/24389))))
(*.f64 (cbrt.f64 1/1560896) x)
(+.f64 (.f64 (cbrt.f64 1/1560896) x) (.f64 1/97556 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/1560896) 2)) 1/3)))
(+.f64 (.f64 1/3 (/.f64 (-.f64 12/24389 (.f64 3/9517173136 (pow.f64 (/.f64 1 (cbrt.f64 1/1560896)) 1/3))) (.f64 (pow.f64 (cbrt.f64 1/1560896) 2) x))) (+.f64 (.f64 (cbrt.f64 1/1560896) x) (*.f64 1/97556 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/1560896) 2)) 1/3))))
(+.f64 (.f64 1/3 (/.f64 (-.f64 12/24389 (.f64 3/9517173136 (pow.f64 (/.f64 1 (cbrt.f64 1/1560896)) 1/3))) (.f64 (pow.f64 (cbrt.f64 1/1560896) 2) x))) (+.f64 (.f64 (cbrt.f64 1/1560896) x) (+.f64 (.f64 1/97556 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/1560896) 2)) 1/3)) (.f64 1/3 (/.f64 (-.f64 64/24389 (+.f64 (.f64 1/928457342455616 (/.f64 1 (pow.f64 (cbrt.f64 1/1560896) 2))) (.f64 1/48778 (.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/1560896) 5)) 1/3) (-.f64 12/24389 (.f64 3/9517173136 (pow.f64 (/.f64 1 (cbrt.f64 1/1560896)) 1/3))))))) (*.f64 (pow.f64 (cbrt.f64 1/1560896) 2) (pow.f64 x 2)))))))
(.f64 -1 (.f64 (cbrt.f64 -1/1560896) x))
(+.f64 (.f64 -1 (.f64 (cbrt.f64 -1/1560896) x)) (*.f64 1/97556 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1/1560896) 2)) 1/3)))
(+.f64 (.f64 -1 (.f64 (cbrt.f64 -1/1560896) x)) (+.f64 (.f64 1/3 (/.f64 (+.f64 (.f64 3/9517173136 (pow.f64 (/.f64 1 (cbrt.f64 -1/1560896)) 1/3)) 12/24389) (.f64 (pow.f64 (cbrt.f64 -1/1560896) 2) x))) (.f64 1/97556 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1/1560896) 2)) 1/3))))
(+.f64 (.f64 1/3 (/.f64 (-.f64 64/24389 (+.f64 (.f64 1/928457342455616 (/.f64 1 (pow.f64 (cbrt.f64 -1/1560896) 2))) (.f64 -1/48778 (.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1/1560896) 5)) 1/3) (+.f64 12/24389 (.f64 3/9517173136 (pow.f64 (/.f64 1 (cbrt.f64 -1/1560896)) 1/3))))))) (.f64 (pow.f64 (cbrt.f64 -1/1560896) 2) (pow.f64 x 2)))) (+.f64 (.f64 -1 (.f64 (cbrt.f64 -1/1560896) x)) (+.f64 (.f64 1/3 (/.f64 (+.f64 (.f64 3/9517173136 (pow.f64 (/.f64 1 (cbrt.f64 -1/1560896)) 1/3)) 12/24389) (.f64 (pow.f64 (cbrt.f64 -1/1560896) 2) x))) (.f64 1/97556 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1/1560896) 2)) 1/3)))))
64/24389
(+.f64 64/24389 (*.f64 12/24389 x))
(+.f64 64/24389 (+.f64 (.f64 3/97556 (pow.f64 x 2)) (.f64 12/24389 x)))
(+.f64 64/24389 (+.f64 (.f64 1/1560896 (pow.f64 x 3)) (+.f64 (.f64 3/97556 (pow.f64 x 2)) (*.f64 12/24389 x))))
(*.f64 1/1560896 (pow.f64 x 3))
(+.f64 (.f64 3/97556 (pow.f64 x 2)) (.f64 1/1560896 (pow.f64 x 3)))
(+.f64 (.f64 3/97556 (pow.f64 x 2)) (+.f64 (.f64 1/1560896 (pow.f64 x 3)) (*.f64 12/24389 x)))
(+.f64 64/24389 (+.f64 (.f64 3/97556 (pow.f64 x 2)) (+.f64 (.f64 1/1560896 (pow.f64 x 3)) (*.f64 12/24389 x))))
(*.f64 1/1560896 (pow.f64 x 3))
(+.f64 (.f64 3/97556 (pow.f64 x 2)) (.f64 1/1560896 (pow.f64 x 3)))
(+.f64 (.f64 3/97556 (pow.f64 x 2)) (+.f64 (.f64 1/1560896 (pow.f64 x 3)) (*.f64 12/24389 x)))
(+.f64 64/24389 (+.f64 (.f64 3/97556 (pow.f64 x 2)) (+.f64 (.f64 1/1560896 (pow.f64 x 3)) (*.f64 12/24389 x))))
4/29
(+.f64 4/29 (*.f64 1/116 x))
(+.f64 4/29 (*.f64 1/116 x))
(+.f64 4/29 (*.f64 1/116 x))
(*.f64 1/116 x)
(+.f64 4/29 (*.f64 1/116 x))
(+.f64 4/29 (*.f64 1/116 x))
(+.f64 4/29 (*.f64 1/116 x))
(*.f64 1/116 x)
(+.f64 4/29 (*.f64 1/116 x))
(+.f64 4/29 (*.f64 1/116 x))
(+.f64 4/29 (*.f64 1/116 x))
(+.f64 (*.f64 x 1/116) 4/29)
(+.f64 4/29 (*.f64 x 1/116))
(+.f64 4/29 (*.f64 1/116 x))
(+.f64 (*.f64 1/116 x) 4/29)
(-.f64 (+.f64 1 (+.f64 (*.f64 x 1/116) 4/29)) 1)
(*.f64 (+.f64 x 16) 1/116)
(*.f64 (+.f64 x 16) (pow.f64 1/1560896 1/3))
(*.f64 1/116 (+.f64 x 16))
(.f64 (+.f64 (.f64 x 1/116) 4/29) 1)
(.f64 1 (+.f64 (.f64 x 1/116) 4/29))
(.f64 (cbrt.f64 (+.f64 (.f64 x 1/116) 4/29)) (cbrt.f64 (*.f64 1/13456 (pow.f64 (+.f64 x 16) 2))))
(.f64 (cbrt.f64 (+.f64 (.f64 x 1/116) 4/29)) (pow.f64 (*.f64 1/13456 (pow.f64 (+.f64 x 16) 2)) 1/3))
(.f64 (cbrt.f64 (.f64 1/13456 (pow.f64 (+.f64 x 16) 2))) (cbrt.f64 (+.f64 (*.f64 x 1/116) 4/29)))
(.f64 (pow.f64 (cbrt.f64 (+.f64 x 16)) 2) (.f64 (cbrt.f64 (+.f64 x 16)) 1/116))
(.f64 (sqrt.f64 (+.f64 (.f64 x 1/116) 4/29)) (sqrt.f64 (+.f64 (*.f64 x 1/116) 4/29)))
(.f64 (sqrt.f64 (+.f64 x 16)) (.f64 (sqrt.f64 (+.f64 x 16)) 1/116))
(.f64 (pow.f64 (.f64 1/13456 (pow.f64 (+.f64 x 16) 2)) 1/3) (cbrt.f64 (+.f64 (*.f64 x 1/116) 4/29)))
(.f64 (pow.f64 1 1/3) (+.f64 (.f64 x 1/116) 4/29))
(.f64 (pow.f64 (pow.f64 (+.f64 (.f64 x 1/116) 4/29) 3/2) 1/3) (pow.f64 (pow.f64 (+.f64 (*.f64 x 1/116) 4/29) 3/2) 1/3))
(.f64 (.f64 1/116 (pow.f64 (cbrt.f64 (+.f64 x 16)) 2)) (cbrt.f64 (+.f64 x 16)))
(.f64 (.f64 1/116 (sqrt.f64 (+.f64 x 16))) (sqrt.f64 (+.f64 x 16)))
(/.f64 (.f64 (+.f64 4096 (pow.f64 x 3)) 1/116) (fma.f64 x x (-.f64 256 (.f64 x 16))))
(/.f64 (*.f64 (fma.f64 x x -256) 1/116) (+.f64 x -16))
(/.f64 (.f64 1/116 (+.f64 4096 (pow.f64 x 3))) (fma.f64 x x (-.f64 256 (.f64 x 16))))
(/.f64 (*.f64 1/116 (fma.f64 x x -256)) (+.f64 x -16))
(sqrt.f64 (*.f64 1/13456 (pow.f64 (+.f64 x 16) 2)))
(log.f64 (pow.f64 (exp.f64 1/116) (+.f64 x 16)))
(cbrt.f64 (*.f64 1/1560896 (pow.f64 (+.f64 x 16) 3)))
(expm1.f64 (log1p.f64 (+.f64 (*.f64 x 1/116) 4/29)))
(log1p.f64 (expm1.f64 (+.f64 (*.f64 x 1/116) 4/29)))
(exp.f64 (log.f64 (+.f64 (*.f64 x 1/116) 4/29)))
(-.f64 (+.f64 1 (*.f64 1/1560896 (pow.f64 (+.f64 x 16) 3))) 1)
(.f64 (+.f64 x 16) (.f64 1/116 (*.f64 1/13456 (pow.f64 (+.f64 x 16) 2))))
(.f64 1/116 (.f64 (+.f64 x 16) (*.f64 1/13456 (pow.f64 (+.f64 x 16) 2))))
(.f64 (+.f64 (.f64 x 1/116) 4/29) (*.f64 1/13456 (pow.f64 (+.f64 x 16) 2)))
(.f64 (.f64 1/1560896 (pow.f64 (+.f64 x 16) 3)) 1)
(.f64 1 (.f64 1/1560896 (pow.f64 (+.f64 x 16) 3)))
(*.f64 1/1560896 (pow.f64 (+.f64 x 16) 3))
(.f64 (.f64 1/13456 (pow.f64 (+.f64 x 16) 2)) (+.f64 (*.f64 x 1/116) 4/29))
(.f64 (cbrt.f64 (.f64 1/13456 (pow.f64 (+.f64 x 16) 2))) (.f64 (cbrt.f64 (+.f64 (.f64 x 1/116) 4/29)) (*.f64 1/13456 (pow.f64 (+.f64 x 16) 2))))
(.f64 (sqrt.f64 (+.f64 (.f64 x 1/116) 4/29)) (.f64 (sqrt.f64 (+.f64 (.f64 x 1/116) 4/29)) (*.f64 1/13456 (pow.f64 (+.f64 x 16) 2))))
(*.f64 (pow.f64 (+.f64 x 16) 3) 1/1560896)
(.f64 (pow.f64 (+.f64 (.f64 x 1/116) 4/29) 3/2) (pow.f64 (+.f64 (*.f64 x 1/116) 4/29) 3/2))
(.f64 (pow.f64 (cbrt.f64 (.f64 1/13456 (pow.f64 (+.f64 x 16) 2))) 3) (+.f64 (*.f64 x 1/116) 4/29))
(.f64 (pow.f64 (sqrt.f64 (+.f64 (.f64 x 1/116) 4/29)) 3) (pow.f64 (sqrt.f64 (+.f64 (*.f64 x 1/116) 4/29)) 3))
(.f64 (.f64 (*.f64 1/13456 (pow.f64 (+.f64 x 16) 2)) (+.f64 x 16)) 1/116)
(.f64 (.f64 (*.f64 1/13456 (pow.f64 (+.f64 x 16) 2)) 1/116) (+.f64 x 16))
(.f64 (.f64 (.f64 1/13456 (pow.f64 (+.f64 x 16) 2)) 1) (+.f64 (.f64 x 1/116) 4/29))
(.f64 (.f64 (.f64 1/13456 (pow.f64 (+.f64 x 16) 2)) (cbrt.f64 (.f64 1/13456 (pow.f64 (+.f64 x 16) 2)))) (cbrt.f64 (+.f64 (*.f64 x 1/116) 4/29)))
(.f64 (.f64 (.f64 1/13456 (pow.f64 (+.f64 x 16) 2)) (sqrt.f64 (+.f64 (.f64 x 1/116) 4/29))) (sqrt.f64 (+.f64 (*.f64 x 1/116) 4/29)))
(sqrt.f64 (pow.f64 (+.f64 (*.f64 x 1/116) 4/29) 6))
(log.f64 (pow.f64 (exp.f64 (pow.f64 (+.f64 x 16) 3)) 1/1560896))
(cbrt.f64 (pow.f64 (*.f64 1/1560896 (pow.f64 (+.f64 x 16) 3)) 3))
(expm1.f64 (log1p.f64 (*.f64 1/1560896 (pow.f64 (+.f64 x 16) 3))))
(log1p.f64 (expm1.f64 (*.f64 1/1560896 (pow.f64 (+.f64 x 16) 3))))
(exp.f64 (.f64 3 (log.f64 (+.f64 (.f64 x 1/116) 4/29))))
(+.f64 (*.f64 x 1/116) 4/29)
(+.f64 4/29 (*.f64 x 1/116))
(+.f64 4/29 (*.f64 1/116 x))
(+.f64 (*.f64 1/116 x) 4/29)
(-.f64 (+.f64 1 (+.f64 (*.f64 x 1/116) 4/29)) 1)
(/.f64 (.f64 (+.f64 4096 (pow.f64 x 3)) 1/116) (fma.f64 x x (-.f64 256 (.f64 x 16))))
(/.f64 (*.f64 (fma.f64 x x -256) 1/116) (+.f64 x -16))
(/.f64 (.f64 1/116 (+.f64 4096 (pow.f64 x 3))) (fma.f64 x x (-.f64 256 (.f64 x 16))))
(/.f64 (*.f64 1/116 (fma.f64 x x -256)) (+.f64 x -16))
(pow.f64 (+.f64 (*.f64 x 1/116) 4/29) 1)
(pow.f64 (*.f64 1/1560896 (pow.f64 (+.f64 x 16) 3)) 1/3)
(pow.f64 (pow.f64 (+.f64 (*.f64 x 1/116) 4/29) 6) 1/6)
(pow.f64 (cbrt.f64 (+.f64 (*.f64 x 1/116) 4/29)) 3)
(pow.f64 (sqrt.f64 (+.f64 (*.f64 x 1/116) 4/29)) 2)
(sqrt.f64 (*.f64 1/13456 (pow.f64 (+.f64 x 16) 2)))
(log.f64 (pow.f64 (exp.f64 1/116) (+.f64 x 16)))
(cbrt.f64 (*.f64 1/1560896 (pow.f64 (+.f64 x 16) 3)))
(expm1.f64 (log1p.f64 (+.f64 (*.f64 x 1/116) 4/29)))
(log1p.f64 (expm1.f64 (+.f64 (*.f64 x 1/116) 4/29)))
(exp.f64 (log.f64 (+.f64 (*.f64 x 1/116) 4/29)))

Outputs
(cbrt.f64 64/24389)
(+.f64 (.f64 4/24389 (.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 64/24389) 2)) 1/3) x)) (cbrt.f64 64/24389))
(fma.f64 4/24389 (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 64/24389) 2))) x) (cbrt.f64 64/24389))
(+.f64 (.f64 4/24389 (.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 64/24389) 2)) 1/3) x)) (+.f64 (.f64 1/3 (/.f64 (.f64 (-.f64 3/97556 (*.f64 48/594823321 (pow.f64 (/.f64 1 (cbrt.f64 64/24389)) 1/3))) (pow.f64 x 2)) (pow.f64 (cbrt.f64 64/24389) 2))) (cbrt.f64 64/24389)))
(fma.f64 4/24389 (.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 64/24389) 2))) x) (fma.f64 1/3 (/.f64 (+.f64 3/97556 (.f64 -48/594823321 (cbrt.f64 (/.f64 1 (cbrt.f64 64/24389))))) (/.f64 (pow.f64 (cbrt.f64 64/24389) 2) (*.f64 x x))) (cbrt.f64 64/24389)))
(fma.f64 4/24389 (.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 64/24389) 2))) x) (fma.f64 1/3 (.f64 (/.f64 (-.f64 3/97556 (.f64 48/594823321 (cbrt.f64 (/.f64 1 (cbrt.f64 64/24389))))) (pow.f64 (cbrt.f64 64/24389) 2)) (.f64 x x)) (cbrt.f64 64/24389)))
(fma.f64 4/24389 (.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 64/24389) 2))) x) (fma.f64 1/3 (.f64 (/.f64 (fma.f64 (cbrt.f64 (/.f64 1 (cbrt.f64 64/24389))) -48/594823321 3/97556) (pow.f64 (cbrt.f64 64/24389) 2)) (*.f64 x x)) (cbrt.f64 64/24389)))
(+.f64 (.f64 4/24389 (.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 64/24389) 2)) 1/3) x)) (+.f64 (.f64 1/3 (/.f64 (.f64 (-.f64 1/1560896 (+.f64 (.f64 8/24389 (.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 64/24389) 5)) 1/3) (-.f64 3/97556 (.f64 48/594823321 (pow.f64 (/.f64 1 (cbrt.f64 64/24389)) 1/3))))) (.f64 64/14507145975869 (/.f64 1 (pow.f64 (cbrt.f64 64/24389) 2))))) (pow.f64 x 3)) (pow.f64 (cbrt.f64 64/24389) 2))) (+.f64 (.f64 1/3 (/.f64 (.f64 (-.f64 3/97556 (*.f64 48/594823321 (pow.f64 (/.f64 1 (cbrt.f64 64/24389)) 1/3))) (pow.f64 x 2)) (pow.f64 (cbrt.f64 64/24389) 2))) (cbrt.f64 64/24389))))
(fma.f64 4/24389 (.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 64/24389) 2))) x) (fma.f64 1/3 (/.f64 (-.f64 1/1560896 (fma.f64 8/24389 (.f64 (+.f64 3/97556 (.f64 -48/594823321 (cbrt.f64 (/.f64 1 (cbrt.f64 64/24389))))) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 64/24389) 5)))) (/.f64 64/14507145975869 (pow.f64 (cbrt.f64 64/24389) 2)))) (/.f64 (pow.f64 (cbrt.f64 64/24389) 2) (pow.f64 x 3))) (fma.f64 1/3 (/.f64 (+.f64 3/97556 (.f64 -48/594823321 (cbrt.f64 (/.f64 1 (cbrt.f64 64/24389))))) (/.f64 (pow.f64 (cbrt.f64 64/24389) 2) (*.f64 x x))) (cbrt.f64 64/24389))))
(fma.f64 4/24389 (.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 64/24389) 2))) x) (fma.f64 1/3 (/.f64 (-.f64 1/1560896 (fma.f64 8/24389 (.f64 (-.f64 3/97556 (.f64 48/594823321 (cbrt.f64 (/.f64 1 (cbrt.f64 64/24389))))) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 64/24389) 5)))) (/.f64 64/14507145975869 (pow.f64 (cbrt.f64 64/24389) 2)))) (/.f64 (pow.f64 (cbrt.f64 64/24389) 2) (pow.f64 x 3))) (fma.f64 1/3 (.f64 (/.f64 (-.f64 3/97556 (.f64 48/594823321 (cbrt.f64 (/.f64 1 (cbrt.f64 64/24389))))) (pow.f64 (cbrt.f64 64/24389) 2)) (.f64 x x)) (cbrt.f64 64/24389))))
(fma.f64 1/3 (fma.f64 (/.f64 (-.f64 1/1560896 (fma.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 64/24389) 5))) (.f64 (fma.f64 (cbrt.f64 (/.f64 1 (cbrt.f64 64/24389))) -48/594823321 3/97556) 8/24389) (/.f64 64/14507145975869 (pow.f64 (cbrt.f64 64/24389) 2)))) (pow.f64 (cbrt.f64 64/24389) 2)) (pow.f64 x 3) (.f64 (/.f64 (fma.f64 (cbrt.f64 (/.f64 1 (cbrt.f64 64/24389))) -48/594823321 3/97556) (pow.f64 (cbrt.f64 64/24389) 2)) (.f64 x x))) (fma.f64 4/24389 (.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 64/24389) 2))) x) (cbrt.f64 64/24389)))
(*.f64 (cbrt.f64 1/1560896) x)
(*.f64 x (cbrt.f64 1/1560896))
(+.f64 (.f64 (cbrt.f64 1/1560896) x) (.f64 1/97556 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/1560896) 2)) 1/3)))
(fma.f64 (cbrt.f64 1/1560896) x (*.f64 1/97556 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/1560896) 2)))))
(fma.f64 x (cbrt.f64 1/1560896) (*.f64 1/97556 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/1560896) 2)))))
(fma.f64 1/97556 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/1560896) 2))) (*.f64 x (cbrt.f64 1/1560896)))
(+.f64 (.f64 1/3 (/.f64 (-.f64 12/24389 (.f64 3/9517173136 (pow.f64 (/.f64 1 (cbrt.f64 1/1560896)) 1/3))) (.f64 (pow.f64 (cbrt.f64 1/1560896) 2) x))) (+.f64 (.f64 (cbrt.f64 1/1560896) x) (*.f64 1/97556 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/1560896) 2)) 1/3))))
(fma.f64 1/3 (/.f64 (-.f64 12/24389 (.f64 3/9517173136 (cbrt.f64 (/.f64 1 (cbrt.f64 1/1560896))))) (.f64 x (pow.f64 (cbrt.f64 1/1560896) 2))) (fma.f64 (cbrt.f64 1/1560896) x (*.f64 1/97556 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/1560896) 2))))))
(fma.f64 1/3 (/.f64 (-.f64 12/24389 (.f64 3/9517173136 (cbrt.f64 (/.f64 1 (cbrt.f64 1/1560896))))) (.f64 x (pow.f64 (cbrt.f64 1/1560896) 2))) (fma.f64 x (cbrt.f64 1/1560896) (*.f64 1/97556 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/1560896) 2))))))
(fma.f64 1/3 (/.f64 (fma.f64 (cbrt.f64 (/.f64 1 (cbrt.f64 1/1560896))) -3/9517173136 12/24389) (.f64 x (pow.f64 (cbrt.f64 1/1560896) 2))) (fma.f64 1/97556 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/1560896) 2))) (.f64 x (cbrt.f64 1/1560896))))
(+.f64 (.f64 1/3 (/.f64 (-.f64 12/24389 (.f64 3/9517173136 (pow.f64 (/.f64 1 (cbrt.f64 1/1560896)) 1/3))) (.f64 (pow.f64 (cbrt.f64 1/1560896) 2) x))) (+.f64 (.f64 (cbrt.f64 1/1560896) x) (+.f64 (.f64 1/97556 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/1560896) 2)) 1/3)) (.f64 1/3 (/.f64 (-.f64 64/24389 (+.f64 (.f64 1/928457342455616 (/.f64 1 (pow.f64 (cbrt.f64 1/1560896) 2))) (.f64 1/48778 (.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/1560896) 5)) 1/3) (-.f64 12/24389 (.f64 3/9517173136 (pow.f64 (/.f64 1 (cbrt.f64 1/1560896)) 1/3))))))) (*.f64 (pow.f64 (cbrt.f64 1/1560896) 2) (pow.f64 x 2)))))))
(fma.f64 1/3 (/.f64 (-.f64 12/24389 (.f64 3/9517173136 (cbrt.f64 (/.f64 1 (cbrt.f64 1/1560896))))) (.f64 x (pow.f64 (cbrt.f64 1/1560896) 2))) (fma.f64 (cbrt.f64 1/1560896) x (fma.f64 1/97556 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/1560896) 2))) (.f64 1/3 (/.f64 (-.f64 64/24389 (+.f64 (/.f64 1/928457342455616 (pow.f64 (cbrt.f64 1/1560896) 2)) (.f64 1/48778 (.f64 (-.f64 12/24389 (.f64 3/9517173136 (cbrt.f64 (/.f64 1 (cbrt.f64 1/1560896))))) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/1560896) 5))))))) (.f64 (.f64 x x) (pow.f64 (cbrt.f64 1/1560896) 2)))))))
(fma.f64 1/3 (/.f64 (-.f64 12/24389 (.f64 3/9517173136 (cbrt.f64 (/.f64 1 (cbrt.f64 1/1560896))))) (.f64 x (pow.f64 (cbrt.f64 1/1560896) 2))) (fma.f64 x (cbrt.f64 1/1560896) (fma.f64 1/3 (/.f64 (-.f64 64/24389 (fma.f64 1/48778 (.f64 (-.f64 12/24389 (.f64 3/9517173136 (cbrt.f64 (/.f64 1 (cbrt.f64 1/1560896))))) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/1560896) 5)))) (/.f64 1/928457342455616 (pow.f64 (cbrt.f64 1/1560896) 2)))) (.f64 (.f64 x x) (pow.f64 (cbrt.f64 1/1560896) 2))) (*.f64 1/97556 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/1560896) 2)))))))
(+.f64 (fma.f64 1/97556 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/1560896) 2))) (.f64 x (cbrt.f64 1/1560896))) (.f64 (/.f64 1/3 (pow.f64 (cbrt.f64 1/1560896) 2)) (+.f64 (/.f64 (-.f64 64/24389 (fma.f64 (fma.f64 (cbrt.f64 (/.f64 1 (cbrt.f64 1/1560896))) -3/9517173136 12/24389) (.f64 1/48778 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/1560896) 5)))) (/.f64 1/928457342455616 (pow.f64 (cbrt.f64 1/1560896) 2)))) (.f64 x x)) (/.f64 (fma.f64 (cbrt.f64 (/.f64 1 (cbrt.f64 1/1560896))) -3/9517173136 12/24389) x))))
(+.f64 (fma.f64 1/97556 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/1560896) 2))) (.f64 x (cbrt.f64 1/1560896))) (.f64 (/.f64 1/3 (pow.f64 (cbrt.f64 1/1560896) 2)) (+.f64 (/.f64 (+.f64 64/24389 (fma.f64 (fma.f64 (cbrt.f64 (/.f64 1 (cbrt.f64 1/1560896))) -3/9517173136 12/24389) (.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/1560896) 5))) -1/48778) (/.f64 -1/928457342455616 (pow.f64 (cbrt.f64 1/1560896) 2)))) (.f64 x x)) (/.f64 (fma.f64 (cbrt.f64 (/.f64 1 (cbrt.f64 1/1560896))) -3/9517173136 12/24389) x))))
(.f64 -1 (.f64 (cbrt.f64 -1/1560896) x))
(neg.f64 (*.f64 x (cbrt.f64 -1/1560896)))
(*.f64 x (neg.f64 (cbrt.f64 -1/1560896)))
(+.f64 (.f64 -1 (.f64 (cbrt.f64 -1/1560896) x)) (*.f64 1/97556 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1/1560896) 2)) 1/3)))
(fma.f64 -1 (.f64 x (cbrt.f64 -1/1560896)) (.f64 1/97556 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1/1560896) 2)))))
(-.f64 (.f64 1/97556 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1/1560896) 2)))) (.f64 x (cbrt.f64 -1/1560896)))
(fma.f64 1/97556 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1/1560896) 2))) (*.f64 x (neg.f64 (cbrt.f64 -1/1560896))))
(+.f64 (.f64 -1 (.f64 (cbrt.f64 -1/1560896) x)) (+.f64 (.f64 1/3 (/.f64 (+.f64 (.f64 3/9517173136 (pow.f64 (/.f64 1 (cbrt.f64 -1/1560896)) 1/3)) 12/24389) (.f64 (pow.f64 (cbrt.f64 -1/1560896) 2) x))) (.f64 1/97556 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1/1560896) 2)) 1/3))))
(fma.f64 -1 (.f64 x (cbrt.f64 -1/1560896)) (fma.f64 1/3 (/.f64 (fma.f64 3/9517173136 (cbrt.f64 (/.f64 1 (cbrt.f64 -1/1560896))) 12/24389) (.f64 x (pow.f64 (cbrt.f64 -1/1560896) 2))) (*.f64 1/97556 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1/1560896) 2))))))
(-.f64 (fma.f64 1/3 (/.f64 (fma.f64 3/9517173136 (cbrt.f64 (/.f64 1 (cbrt.f64 -1/1560896))) 12/24389) (.f64 x (pow.f64 (cbrt.f64 -1/1560896) 2))) (.f64 1/97556 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1/1560896) 2))))) (*.f64 x (cbrt.f64 -1/1560896)))
(fma.f64 1/97556 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1/1560896) 2))) (-.f64 (.f64 (/.f64 (fma.f64 3/9517173136 (cbrt.f64 (/.f64 1 (cbrt.f64 -1/1560896))) 12/24389) (pow.f64 (cbrt.f64 -1/1560896) 2)) (/.f64 1/3 x)) (.f64 x (cbrt.f64 -1/1560896))))
(+.f64 (.f64 1/3 (/.f64 (-.f64 64/24389 (+.f64 (.f64 1/928457342455616 (/.f64 1 (pow.f64 (cbrt.f64 -1/1560896) 2))) (.f64 -1/48778 (.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1/1560896) 5)) 1/3) (+.f64 12/24389 (.f64 3/9517173136 (pow.f64 (/.f64 1 (cbrt.f64 -1/1560896)) 1/3))))))) (.f64 (pow.f64 (cbrt.f64 -1/1560896) 2) (pow.f64 x 2)))) (+.f64 (.f64 -1 (.f64 (cbrt.f64 -1/1560896) x)) (+.f64 (.f64 1/3 (/.f64 (+.f64 (.f64 3/9517173136 (pow.f64 (/.f64 1 (cbrt.f64 -1/1560896)) 1/3)) 12/24389) (.f64 (pow.f64 (cbrt.f64 -1/1560896) 2) x))) (.f64 1/97556 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1/1560896) 2)) 1/3)))))
(fma.f64 1/3 (/.f64 (-.f64 64/24389 (+.f64 (/.f64 1/928457342455616 (pow.f64 (cbrt.f64 -1/1560896) 2)) (.f64 -1/48778 (.f64 (fma.f64 3/9517173136 (cbrt.f64 (/.f64 1 (cbrt.f64 -1/1560896))) 12/24389) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1/1560896) 5))))))) (.f64 (.f64 x x) (pow.f64 (cbrt.f64 -1/1560896) 2))) (fma.f64 -1 (.f64 x (cbrt.f64 -1/1560896)) (fma.f64 1/3 (/.f64 (fma.f64 3/9517173136 (cbrt.f64 (/.f64 1 (cbrt.f64 -1/1560896))) 12/24389) (.f64 x (pow.f64 (cbrt.f64 -1/1560896) 2))) (*.f64 1/97556 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1/1560896) 2)))))))
(fma.f64 1/3 (/.f64 (-.f64 64/24389 (fma.f64 (.f64 -1/48778 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1/1560896) 5)))) (fma.f64 3/9517173136 (cbrt.f64 (/.f64 1 (cbrt.f64 -1/1560896))) 12/24389) (/.f64 1/928457342455616 (pow.f64 (cbrt.f64 -1/1560896) 2)))) (.f64 (.f64 x x) (pow.f64 (cbrt.f64 -1/1560896) 2))) (-.f64 (fma.f64 1/3 (/.f64 (fma.f64 3/9517173136 (cbrt.f64 (/.f64 1 (cbrt.f64 -1/1560896))) 12/24389) (.f64 x (pow.f64 (cbrt.f64 -1/1560896) 2))) (.f64 1/97556 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1/1560896) 2))))) (.f64 x (cbrt.f64 -1/1560896))))
(fma.f64 1/3 (/.f64 (-.f64 64/24389 (fma.f64 (fma.f64 3/9517173136 (cbrt.f64 (/.f64 1 (cbrt.f64 -1/1560896))) 12/24389) (.f64 -1/48778 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1/1560896) 5)))) (/.f64 1/928457342455616 (pow.f64 (cbrt.f64 -1/1560896) 2)))) (.f64 (.f64 x x) (pow.f64 (cbrt.f64 -1/1560896) 2))) (fma.f64 1/97556 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1/1560896) 2))) (-.f64 (.f64 (/.f64 (fma.f64 3/9517173136 (cbrt.f64 (/.f64 1 (cbrt.f64 -1/1560896))) 12/24389) (pow.f64 (cbrt.f64 -1/1560896) 2)) (/.f64 1/3 x)) (*.f64 x (cbrt.f64 -1/1560896)))))
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64/24389
(+.f64 64/24389 (*.f64 12/24389 x))
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(fma.f64 x 12/24389 64/24389)
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(*.f64 1/1560896 (pow.f64 x 3))
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(fma.f64 1/1560896 (pow.f64 x 3) (fma.f64 x 12/24389 (fma.f64 3/97556 (*.f64 x x) 64/24389)))
4/29
(+.f64 4/29 (*.f64 1/116 x))
(fma.f64 x 1/116 4/29)
(+.f64 4/29 (*.f64 1/116 x))
(fma.f64 x 1/116 4/29)
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(fma.f64 x 1/116 4/29)
(*.f64 1/116 x)
(*.f64 x 1/116)
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(fma.f64 x 1/116 4/29)
(+.f64 4/29 (*.f64 1/116 x))
(fma.f64 x 1/116 4/29)
(+.f64 4/29 (*.f64 1/116 x))
(fma.f64 x 1/116 4/29)
(*.f64 1/116 x)
(*.f64 x 1/116)
(+.f64 4/29 (*.f64 1/116 x))
(fma.f64 x 1/116 4/29)
(+.f64 4/29 (*.f64 1/116 x))
(fma.f64 x 1/116 4/29)
(+.f64 4/29 (*.f64 1/116 x))
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(fma.f64 x 1/116 4/29)
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(fma.f64 x 1/116 4/29)
(+.f64 4/29 (*.f64 1/116 x))
(fma.f64 x 1/116 4/29)
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(fma.f64 x 1/116 4/29)
(-.f64 (+.f64 1 (+.f64 (*.f64 x 1/116) 4/29)) 1)
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(fma.f64 x 1/116 4/29)
(.f64 (sqrt.f64 (+.f64 (.f64 x 1/116) 4/29)) (sqrt.f64 (+.f64 (*.f64 x 1/116) 4/29)))
(fma.f64 x 1/116 4/29)
(.f64 (sqrt.f64 (+.f64 x 16)) (.f64 (sqrt.f64 (+.f64 x 16)) 1/116))
(fma.f64 x 1/116 4/29)
(.f64 (pow.f64 (.f64 1/13456 (pow.f64 (+.f64 x 16) 2)) 1/3) (cbrt.f64 (+.f64 (*.f64 x 1/116) 4/29)))
(.f64 (cbrt.f64 (fma.f64 x 1/116 4/29)) (cbrt.f64 (.f64 1/13456 (pow.f64 (+.f64 x 16) 2))))
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(.f64 (pow.f64 (pow.f64 (+.f64 (.f64 x 1/116) 4/29) 3/2) 1/3) (pow.f64 (pow.f64 (+.f64 (*.f64 x 1/116) 4/29) 3/2) 1/3))
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(fma.f64 x 1/116 4/29)
(.f64 (.f64 1/116 (sqrt.f64 (+.f64 x 16))) (sqrt.f64 (+.f64 x 16)))
(fma.f64 x 1/116 4/29)
(/.f64 (.f64 (+.f64 4096 (pow.f64 x 3)) 1/116) (fma.f64 x x (-.f64 256 (.f64 x 16))))
(/.f64 1/116 (/.f64 (fma.f64 x x (-.f64 256 (*.f64 x 16))) (+.f64 (pow.f64 x 3) 4096)))
(.f64 (/.f64 1/116 (fma.f64 x x (-.f64 256 (.f64 x 16)))) (+.f64 (pow.f64 x 3) 4096))
(/.f64 (fma.f64 (pow.f64 x 3) 1/116 1024/29) (fma.f64 x x (fma.f64 x -16 256)))
(/.f64 (*.f64 (fma.f64 x x -256) 1/116) (+.f64 x -16))
(/.f64 (fma.f64 x x -256) (/.f64 (+.f64 x -16) 1/116))
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(/.f64 1/116 (/.f64 (fma.f64 x x (-.f64 256 (*.f64 x 16))) (+.f64 (pow.f64 x 3) 4096)))
(.f64 (/.f64 1/116 (fma.f64 x x (-.f64 256 (.f64 x 16)))) (+.f64 (pow.f64 x 3) 4096))
(/.f64 (fma.f64 (pow.f64 x 3) 1/116 1024/29) (fma.f64 x x (fma.f64 x -16 256)))
(/.f64 (*.f64 1/116 (fma.f64 x x -256)) (+.f64 x -16))
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(*.f64 (/.f64 1/116 (+.f64 x -16)) (fma.f64 x x -256))
(sqrt.f64 (*.f64 1/13456 (pow.f64 (+.f64 x 16) 2)))
(sqrt.f64 (pow.f64 (fma.f64 x 1/116 4/29) 2))
(log.f64 (pow.f64 (exp.f64 1/116) (+.f64 x 16)))
(fma.f64 x 1/116 4/29)
(cbrt.f64 (*.f64 1/1560896 (pow.f64 (+.f64 x 16) 3)))
(fma.f64 x 1/116 4/29)
(expm1.f64 (log1p.f64 (+.f64 (*.f64 x 1/116) 4/29)))
(fma.f64 x 1/116 4/29)
(log1p.f64 (expm1.f64 (+.f64 (*.f64 x 1/116) 4/29)))
(fma.f64 x 1/116 4/29)
(exp.f64 (log.f64 (+.f64 (*.f64 x 1/116) 4/29)))
(fma.f64 x 1/116 4/29)
(-.f64 (+.f64 1 (*.f64 1/1560896 (pow.f64 (+.f64 x 16) 3))) 1)
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(.f64 1/116 (.f64 (+.f64 x 16) (*.f64 1/13456 (pow.f64 (+.f64 x 16) 2))))
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(.f64 (.f64 1/13456 (pow.f64 (+.f64 x 16) 2)) (+.f64 (*.f64 x 1/116) 4/29))
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(+.f64 (pow.f64 (fma.f64 x 1/116 4/29) 3) 0)
(pow.f64 (fma.f64 x 1/116 4/29) 3)
(log.f64 (pow.f64 (exp.f64 (pow.f64 (+.f64 x 16) 3)) 1/1560896))
(+.f64 (+.f64 1 (*.f64 1/1560896 (pow.f64 (+.f64 x 16) 3))) -1)
(+.f64 (pow.f64 (fma.f64 x 1/116 4/29) 3) 0)
(pow.f64 (fma.f64 x 1/116 4/29) 3)
(cbrt.f64 (pow.f64 (*.f64 1/1560896 (pow.f64 (+.f64 x 16) 3)) 3))
(+.f64 (+.f64 1 (*.f64 1/1560896 (pow.f64 (+.f64 x 16) 3))) -1)
(+.f64 (pow.f64 (fma.f64 x 1/116 4/29) 3) 0)
(pow.f64 (fma.f64 x 1/116 4/29) 3)
(expm1.f64 (log1p.f64 (*.f64 1/1560896 (pow.f64 (+.f64 x 16) 3))))
(+.f64 (+.f64 1 (*.f64 1/1560896 (pow.f64 (+.f64 x 16) 3))) -1)
(+.f64 (pow.f64 (fma.f64 x 1/116 4/29) 3) 0)
(pow.f64 (fma.f64 x 1/116 4/29) 3)
(log1p.f64 (expm1.f64 (*.f64 1/1560896 (pow.f64 (+.f64 x 16) 3))))
(+.f64 (+.f64 1 (*.f64 1/1560896 (pow.f64 (+.f64 x 16) 3))) -1)
(+.f64 (pow.f64 (fma.f64 x 1/116 4/29) 3) 0)
(pow.f64 (fma.f64 x 1/116 4/29) 3)
(exp.f64 (.f64 3 (log.f64 (+.f64 (.f64 x 1/116) 4/29))))
(+.f64 (+.f64 1 (*.f64 1/1560896 (pow.f64 (+.f64 x 16) 3))) -1)
(+.f64 (pow.f64 (fma.f64 x 1/116 4/29) 3) 0)
(pow.f64 (fma.f64 x 1/116 4/29) 3)
(+.f64 (*.f64 x 1/116) 4/29)
(fma.f64 x 1/116 4/29)
(+.f64 4/29 (*.f64 x 1/116))
(fma.f64 x 1/116 4/29)
(+.f64 4/29 (*.f64 1/116 x))
(fma.f64 x 1/116 4/29)
(+.f64 (*.f64 1/116 x) 4/29)
(fma.f64 x 1/116 4/29)
(-.f64 (+.f64 1 (+.f64 (*.f64 x 1/116) 4/29)) 1)
(fma.f64 x 1/116 4/29)
(/.f64 (.f64 (+.f64 4096 (pow.f64 x 3)) 1/116) (fma.f64 x x (-.f64 256 (.f64 x 16))))
(/.f64 1/116 (/.f64 (fma.f64 x x (-.f64 256 (*.f64 x 16))) (+.f64 (pow.f64 x 3) 4096)))
(.f64 (/.f64 1/116 (fma.f64 x x (-.f64 256 (.f64 x 16)))) (+.f64 (pow.f64 x 3) 4096))
(/.f64 (fma.f64 (pow.f64 x 3) 1/116 1024/29) (fma.f64 x x (fma.f64 x -16 256)))
(/.f64 (*.f64 (fma.f64 x x -256) 1/116) (+.f64 x -16))
(/.f64 (fma.f64 x x -256) (/.f64 (+.f64 x -16) 1/116))
(*.f64 (/.f64 1/116 (+.f64 x -16)) (fma.f64 x x -256))
(/.f64 (.f64 1/116 (+.f64 4096 (pow.f64 x 3))) (fma.f64 x x (-.f64 256 (.f64 x 16))))
(/.f64 1/116 (/.f64 (fma.f64 x x (-.f64 256 (*.f64 x 16))) (+.f64 (pow.f64 x 3) 4096)))
(.f64 (/.f64 1/116 (fma.f64 x x (-.f64 256 (.f64 x 16)))) (+.f64 (pow.f64 x 3) 4096))
(/.f64 (fma.f64 (pow.f64 x 3) 1/116 1024/29) (fma.f64 x x (fma.f64 x -16 256)))
(/.f64 (*.f64 1/116 (fma.f64 x x -256)) (+.f64 x -16))
(/.f64 (fma.f64 x x -256) (/.f64 (+.f64 x -16) 1/116))
(*.f64 (/.f64 1/116 (+.f64 x -16)) (fma.f64 x x -256))
(pow.f64 (+.f64 (*.f64 x 1/116) 4/29) 1)
(fma.f64 x 1/116 4/29)
(pow.f64 (*.f64 1/1560896 (pow.f64 (+.f64 x 16) 3)) 1/3)
(fma.f64 x 1/116 4/29)
(pow.f64 (pow.f64 (+.f64 (*.f64 x 1/116) 4/29) 6) 1/6)
(pow.f64 (pow.f64 (fma.f64 x 1/116 4/29) 6) 1/6)
(pow.f64 (cbrt.f64 (+.f64 (*.f64 x 1/116) 4/29)) 3)
(fma.f64 x 1/116 4/29)
(pow.f64 (sqrt.f64 (+.f64 (*.f64 x 1/116) 4/29)) 2)
(fma.f64 x 1/116 4/29)
(sqrt.f64 (*.f64 1/13456 (pow.f64 (+.f64 x 16) 2)))
(sqrt.f64 (pow.f64 (fma.f64 x 1/116 4/29) 2))
(log.f64 (pow.f64 (exp.f64 1/116) (+.f64 x 16)))
(fma.f64 x 1/116 4/29)
(cbrt.f64 (*.f64 1/1560896 (pow.f64 (+.f64 x 16) 3)))
(fma.f64 x 1/116 4/29)
(expm1.f64 (log1p.f64 (+.f64 (*.f64 x 1/116) 4/29)))
(fma.f64 x 1/116 4/29)
(log1p.f64 (expm1.f64 (+.f64 (*.f64 x 1/116) 4/29)))
(fma.f64 x 1/116 4/29)
(exp.f64 (log.f64 (+.f64 (*.f64 x 1/116) 4/29)))
(fma.f64 x 1/116 4/29)

eval95.0ms (6.6%)

Compiler: Compiled 3960 to 3431 computations (13.4% saved)

prune36.0ms (2.5%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	249	1	250
Fresh	0	1	1
Picked	1	0	1
Done	0	3	3
Total	250	5	255

Error

Counts

255 → 5

Alt Table

Click to see full alt table

Status	Error	Program
▶	33.4b	(pow.f64 (+.f64 64/24389 (*.f64 x 12/24389)) 1/3)
✓	0.0b	(/.f64 (+.f64 x 16) 116)
✓	0.1b	(+.f64 4/29 (*.f64 1/116 x))
✓	29.7b	(*.f64 1/116 x)
	33.8b	4/29

Compiler

Compiled 26 to 22 computations (15.4% saved)

localize10.0ms (0.7%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 64/24389 (*.f64 x 12/24389))
✓	0.2b	(*.f64 x 12/24389)
✓	1.4b	(pow.f64 (+.f64 64/24389 (*.f64 x 12/24389)) 1/3)

Compiler

Compiled 20 to 16 computations (20% saved)

series4.0ms (0.3%)

Counts

3 → 28

Calls

9 calls:

Time	Variable		Point	Expression
1.0ms	x	@	0	(pow.f64 (+.f64 64/24389 (*.f64 x 12/24389)) 1/3)
1.0ms	x	@	inf	(pow.f64 (+.f64 64/24389 (*.f64 x 12/24389)) 1/3)
0.0ms	x	@	-inf	(pow.f64 (+.f64 64/24389 (*.f64 x 12/24389)) 1/3)
0.0ms	x	@	inf	(*.f64 x 12/24389)
0.0ms	x	@	-inf	(*.f64 x 12/24389)

rewrite51.0ms (3.5%)

Algorithm

1×	batch-egg-rewrite

Rules

808×	`pow1_binary64`
769×	`add-log-exp_binary64`
769×	`log1p-expm1-u_binary64`
769×	`expm1-log1p-u_binary64`
756×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	8	20
1	180	16
2	2041	16

Stop Event

1×	node limit

Counts

3 → 63

Calls

Call 1

Inputs
(pow.f64 (+.f64 64/24389 (*.f64 x 12/24389)) 1/3)
(*.f64 x 12/24389)
(+.f64 64/24389 (*.f64 x 12/24389))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (cbrt.f64 (fma.f64 x 12/24389 64/24389))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 x 12/24389 64/24389)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (cbrt.f64 (fma.f64 x 12/24389 64/24389)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (fma.f64 x 12/24389 64/24389))) (cbrt.f64 (cbrt.f64 (pow.f64 (fma.f64 x 12/24389 64/24389) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (fma.f64 x 12/24389 64/24389) 2))) (cbrt.f64 (cbrt.f64 (fma.f64 x 12/24389 64/24389))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (fma.f64 x 12/24389 64/24389) 1/6) (pow.f64 (fma.f64 x 12/24389 64/24389) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (cbrt.f64 (fma.f64 x 12/24389 64/24389)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (pow.f64 (fma.f64 x 12/24389 64/24389) 2)) 1/3) (cbrt.f64 (cbrt.f64 (fma.f64 x 12/24389 64/24389))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (fma.f64 x 12/24389 64/24389)) 1/3) (pow.f64 (sqrt.f64 (fma.f64 x 12/24389 64/24389)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 (-.f64 4096/594823321 (*.f64 (*.f64 x x) 144/594823321))) (cbrt.f64 (+.f64 64/24389 (*.f64 -12/24389 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 (+.f64 262144/14507145975869 (*.f64 (pow.f64 x 3) 1728/14507145975869))) (cbrt.f64 (+.f64 4096/594823321 (-.f64 (*.f64 (*.f64 x x) 144/594823321) (*.f64 768/594823321 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (cbrt.f64 (pow.f64 (fma.f64 x 12/24389 64/24389) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cbrt.f64 (fma.f64 x 12/24389 64/24389))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (fma.f64 x 12/24389 64/24389))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cbrt.f64 (fma.f64 x 12/24389 64/24389))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cbrt.f64 (fma.f64 x 12/24389 64/24389))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (cbrt.f64 (fma.f64 x 12/24389 64/24389))))))))

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 x 12/24389)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x 12/24389) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 x 12/24389)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 x 12/24389)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 x 3) 1728/14507145975869) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (*.f64 x x) 144/594823321))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (*.f64 x 12/24389)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 x 3) 1728/14507145975869))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 x 12/24389)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 x 12/24389)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 x 12/24389)))))))

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (fma.f64 x 12/24389 64/24389)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 4096/594823321 (+.f64 64/24389 (*.f64 -12/24389 x))) (/.f64 (*.f64 (*.f64 x x) 144/594823321) (+.f64 64/24389 (*.f64 -12/24389 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 x 12/24389 64/24389) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 x 12/24389 64/24389)) (cbrt.f64 (pow.f64 (fma.f64 x 12/24389 64/24389) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 x 12/24389 64/24389))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (fma.f64 x 12/24389 64/24389) 2)) (cbrt.f64 (fma.f64 x 12/24389 64/24389)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 x 12/24389 64/24389)) (sqrt.f64 (fma.f64 x 12/24389 64/24389)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 262144/14507145975869 (*.f64 (pow.f64 x 3) 1728/14507145975869)) (/.f64 1 (+.f64 4096/594823321 (-.f64 (*.f64 (*.f64 x x) 144/594823321) (*.f64 768/594823321 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 4096/594823321 (*.f64 (*.f64 x x) 144/594823321)) (/.f64 1 (+.f64 64/24389 (*.f64 -12/24389 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (pow.f64 (fma.f64 x 12/24389 64/24389) 2)) 1) (cbrt.f64 (fma.f64 x 12/24389 64/24389)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (pow.f64 (fma.f64 x 12/24389 64/24389) 2)) (cbrt.f64 (cbrt.f64 (pow.f64 (fma.f64 x 12/24389 64/24389) 2)))) (cbrt.f64 (cbrt.f64 (fma.f64 x 12/24389 64/24389))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (pow.f64 (fma.f64 x 12/24389 64/24389) 2)) (pow.f64 (fma.f64 x 12/24389 64/24389) 1/6)) (pow.f64 (fma.f64 x 12/24389 64/24389) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 4096/594823321 (-.f64 (*.f64 (*.f64 x x) 144/594823321) (*.f64 768/594823321 x))) (+.f64 262144/14507145975869 (*.f64 (pow.f64 x 3) 1728/14507145975869))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 64/24389 (*.f64 -12/24389 x)) (-.f64 4096/594823321 (*.f64 (*.f64 x x) 144/594823321))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 262144/14507145975869 (*.f64 (pow.f64 x 3) 1728/14507145975869)) (+.f64 4096/594823321 (-.f64 (*.f64 (*.f64 x x) 144/594823321) (*.f64 768/594823321 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 262144/14507145975869 (*.f64 (pow.f64 x 3) 1728/14507145975869)) (+.f64 (*.f64 (*.f64 x x) 144/594823321) (-.f64 4096/594823321 (*.f64 768/594823321 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 4096/594823321 (*.f64 (*.f64 x x) 144/594823321)) (+.f64 64/24389 (*.f64 -12/24389 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 262144/14507145975869 (*.f64 (pow.f64 x 3) 1728/14507145975869))) (neg.f64 (+.f64 4096/594823321 (-.f64 (*.f64 (*.f64 x x) 144/594823321) (*.f64 768/594823321 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 4096/594823321 (*.f64 (*.f64 x x) 144/594823321))) (neg.f64 (+.f64 64/24389 (*.f64 -12/24389 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (*.f64 x x) 144/594823321) 4096/594823321) (-.f64 (*.f64 x 12/24389) 64/24389))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 x 12/24389 64/24389) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 x 12/24389 64/24389)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 x 12/24389 64/24389) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 x 12/24389 64/24389)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 x 12/24389 64/24389) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 x 12/24389 64/24389)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 x 12/24389 64/24389) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 x 12/24389 64/24389)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 x 12/24389 64/24389)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 x 12/24389 64/24389)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x 12/24389 64/24389)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 12/24389 x 64/24389)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 x 12/24389) 64/24389)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 (*.f64 x x) 144/594823321)) (cbrt.f64 (*.f64 x 12/24389)) 64/24389)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 x 12/24389)) (sqrt.f64 (*.f64 x 12/24389)) 64/24389)))))

simplify59.0ms (4.1%)

Algorithm

1×	egg-herbie

Rules

518×	`associate-l_binary64`
483×	`associate-r_binary64`
468×	`fma-neg_binary64`
354×	`log-prod_binary64`
312×	`fma-def_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	171	1022
1	390	922
2	1159	851
3	5490	844

Stop Event

1×	node limit

Counts

91 → 99

Calls

Call 1

Inputs
(cbrt.f64 64/24389)
(+.f64 (.f64 4/24389 (.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 64/24389) 2)) 1/3) x)) (cbrt.f64 64/24389))
(+.f64 (.f64 -16/594823321 (.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 64/24389) 7)) 1/3) (pow.f64 x 2))) (+.f64 (.f64 4/24389 (.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 64/24389) 2)) 1/3) x)) (cbrt.f64 64/24389)))
(+.f64 (.f64 -16/594823321 (.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 64/24389) 7)) 1/3) (pow.f64 x 2))) (+.f64 (.f64 4/24389 (.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 64/24389) 2)) 1/3) x)) (+.f64 (cbrt.f64 64/24389) (.f64 -1/3 (/.f64 (.f64 (+.f64 (.f64 -384/14507145975869 (.f64 (pow.f64 1 1/3) (/.f64 1 (pow.f64 (cbrt.f64 64/24389) 2)))) (*.f64 64/14507145975869 (/.f64 1 (pow.f64 (cbrt.f64 64/24389) 2)))) (pow.f64 x 3)) (pow.f64 (cbrt.f64 64/24389) 2))))))
(*.f64 12/24389 x)
(*.f64 12/24389 x)
(*.f64 12/24389 x)
(*.f64 12/24389 x)
(*.f64 12/24389 x)
(*.f64 12/24389 x)
(*.f64 12/24389 x)
(*.f64 12/24389 x)
(*.f64 12/24389 x)
(*.f64 12/24389 x)
(*.f64 12/24389 x)
(*.f64 12/24389 x)
64/24389
(+.f64 64/24389 (*.f64 12/24389 x))
(+.f64 64/24389 (*.f64 12/24389 x))
(+.f64 64/24389 (*.f64 12/24389 x))
(*.f64 12/24389 x)
(+.f64 64/24389 (*.f64 12/24389 x))
(+.f64 64/24389 (*.f64 12/24389 x))
(+.f64 64/24389 (*.f64 12/24389 x))
(*.f64 12/24389 x)
(+.f64 64/24389 (*.f64 12/24389 x))
(+.f64 64/24389 (*.f64 12/24389 x))
(+.f64 64/24389 (*.f64 12/24389 x))
(-.f64 (+.f64 1 (cbrt.f64 (fma.f64 x 12/24389 64/24389))) 1)
(*.f64 (cbrt.f64 (fma.f64 x 12/24389 64/24389)) 1)
(*.f64 1 (cbrt.f64 (fma.f64 x 12/24389 64/24389)))
(*.f64 (cbrt.f64 (cbrt.f64 (fma.f64 x 12/24389 64/24389))) (cbrt.f64 (cbrt.f64 (pow.f64 (fma.f64 x 12/24389 64/24389) 2))))
(*.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (fma.f64 x 12/24389 64/24389) 2))) (cbrt.f64 (cbrt.f64 (fma.f64 x 12/24389 64/24389))))
(*.f64 (pow.f64 (fma.f64 x 12/24389 64/24389) 1/6) (pow.f64 (fma.f64 x 12/24389 64/24389) 1/6))
(*.f64 (pow.f64 1 1/3) (cbrt.f64 (fma.f64 x 12/24389 64/24389)))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (fma.f64 x 12/24389 64/24389) 2)) 1/3) (cbrt.f64 (cbrt.f64 (fma.f64 x 12/24389 64/24389))))
(*.f64 (pow.f64 (sqrt.f64 (fma.f64 x 12/24389 64/24389)) 1/3) (pow.f64 (sqrt.f64 (fma.f64 x 12/24389 64/24389)) 1/3))
(/.f64 (cbrt.f64 (-.f64 4096/594823321 (.f64 (.f64 x x) 144/594823321))) (cbrt.f64 (+.f64 64/24389 (*.f64 -12/24389 x))))
(/.f64 (cbrt.f64 (+.f64 262144/14507145975869 (.f64 (pow.f64 x 3) 1728/14507145975869))) (cbrt.f64 (+.f64 4096/594823321 (-.f64 (.f64 (.f64 x x) 144/594823321) (.f64 768/594823321 x)))))
(sqrt.f64 (cbrt.f64 (pow.f64 (fma.f64 x 12/24389 64/24389) 2)))
(log.f64 (exp.f64 (cbrt.f64 (fma.f64 x 12/24389 64/24389))))
(cbrt.f64 (fma.f64 x 12/24389 64/24389))
(expm1.f64 (log1p.f64 (cbrt.f64 (fma.f64 x 12/24389 64/24389))))
(log1p.f64 (expm1.f64 (cbrt.f64 (fma.f64 x 12/24389 64/24389))))
(exp.f64 (log.f64 (cbrt.f64 (fma.f64 x 12/24389 64/24389))))
(-.f64 (+.f64 1 (*.f64 x 12/24389)) 1)
(pow.f64 (*.f64 x 12/24389) 1)
(pow.f64 (cbrt.f64 (*.f64 x 12/24389)) 3)
(pow.f64 (sqrt.f64 (*.f64 x 12/24389)) 2)
(pow.f64 (*.f64 (pow.f64 x 3) 1728/14507145975869) 1/3)
(sqrt.f64 (.f64 (.f64 x x) 144/594823321))
(log.f64 (exp.f64 (*.f64 x 12/24389)))
(cbrt.f64 (*.f64 (pow.f64 x 3) 1728/14507145975869))
(expm1.f64 (log1p.f64 (*.f64 x 12/24389)))
(log1p.f64 (expm1.f64 (*.f64 x 12/24389)))
(exp.f64 (log.f64 (*.f64 x 12/24389)))
(-.f64 (+.f64 1 (fma.f64 x 12/24389 64/24389)) 1)
(-.f64 (/.f64 4096/594823321 (+.f64 64/24389 (.f64 -12/24389 x))) (/.f64 (.f64 (.f64 x x) 144/594823321) (+.f64 64/24389 (.f64 -12/24389 x))))
(*.f64 (fma.f64 x 12/24389 64/24389) 1)
(*.f64 (cbrt.f64 (fma.f64 x 12/24389 64/24389)) (cbrt.f64 (pow.f64 (fma.f64 x 12/24389 64/24389) 2)))
(*.f64 1 (fma.f64 x 12/24389 64/24389))
(*.f64 (cbrt.f64 (pow.f64 (fma.f64 x 12/24389 64/24389) 2)) (cbrt.f64 (fma.f64 x 12/24389 64/24389)))
(*.f64 (sqrt.f64 (fma.f64 x 12/24389 64/24389)) (sqrt.f64 (fma.f64 x 12/24389 64/24389)))
(.f64 (+.f64 262144/14507145975869 (.f64 (pow.f64 x 3) 1728/14507145975869)) (/.f64 1 (+.f64 4096/594823321 (-.f64 (.f64 (.f64 x x) 144/594823321) (*.f64 768/594823321 x)))))
(.f64 (-.f64 4096/594823321 (.f64 (.f64 x x) 144/594823321)) (/.f64 1 (+.f64 64/24389 (.f64 -12/24389 x))))
(.f64 (.f64 (cbrt.f64 (pow.f64 (fma.f64 x 12/24389 64/24389) 2)) 1) (cbrt.f64 (fma.f64 x 12/24389 64/24389)))
(.f64 (.f64 (cbrt.f64 (pow.f64 (fma.f64 x 12/24389 64/24389) 2)) (cbrt.f64 (cbrt.f64 (pow.f64 (fma.f64 x 12/24389 64/24389) 2)))) (cbrt.f64 (cbrt.f64 (fma.f64 x 12/24389 64/24389))))
(.f64 (.f64 (cbrt.f64 (pow.f64 (fma.f64 x 12/24389 64/24389) 2)) (pow.f64 (fma.f64 x 12/24389 64/24389) 1/6)) (pow.f64 (fma.f64 x 12/24389 64/24389) 1/6))
(/.f64 1 (/.f64 (+.f64 4096/594823321 (-.f64 (.f64 (.f64 x x) 144/594823321) (.f64 768/594823321 x))) (+.f64 262144/14507145975869 (.f64 (pow.f64 x 3) 1728/14507145975869))))
(/.f64 1 (/.f64 (+.f64 64/24389 (.f64 -12/24389 x)) (-.f64 4096/594823321 (.f64 (*.f64 x x) 144/594823321))))
(/.f64 (+.f64 262144/14507145975869 (.f64 (pow.f64 x 3) 1728/14507145975869)) (+.f64 4096/594823321 (-.f64 (.f64 (.f64 x x) 144/594823321) (.f64 768/594823321 x))))
(/.f64 (+.f64 262144/14507145975869 (.f64 (pow.f64 x 3) 1728/14507145975869)) (+.f64 (.f64 (.f64 x x) 144/594823321) (-.f64 4096/594823321 (.f64 768/594823321 x))))
(/.f64 (-.f64 4096/594823321 (.f64 (.f64 x x) 144/594823321)) (+.f64 64/24389 (*.f64 -12/24389 x)))
(/.f64 (neg.f64 (+.f64 262144/14507145975869 (.f64 (pow.f64 x 3) 1728/14507145975869))) (neg.f64 (+.f64 4096/594823321 (-.f64 (.f64 (.f64 x x) 144/594823321) (.f64 768/594823321 x)))))
(/.f64 (neg.f64 (-.f64 4096/594823321 (.f64 (.f64 x x) 144/594823321))) (neg.f64 (+.f64 64/24389 (*.f64 -12/24389 x))))
(/.f64 (-.f64 (.f64 (.f64 x x) 144/594823321) 4096/594823321) (-.f64 (*.f64 x 12/24389) 64/24389))
(pow.f64 (fma.f64 x 12/24389 64/24389) 1)
(pow.f64 (cbrt.f64 (fma.f64 x 12/24389 64/24389)) 3)
(pow.f64 (pow.f64 (fma.f64 x 12/24389 64/24389) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 x 12/24389 64/24389)) 2)
(sqrt.f64 (pow.f64 (fma.f64 x 12/24389 64/24389) 2))
(log.f64 (exp.f64 (fma.f64 x 12/24389 64/24389)))
(cbrt.f64 (pow.f64 (fma.f64 x 12/24389 64/24389) 3))
(expm1.f64 (log1p.f64 (fma.f64 x 12/24389 64/24389)))
(log1p.f64 (expm1.f64 (fma.f64 x 12/24389 64/24389)))
(exp.f64 (log.f64 (fma.f64 x 12/24389 64/24389)))
(fma.f64 x 12/24389 64/24389)
(fma.f64 12/24389 x 64/24389)
(fma.f64 1 (*.f64 x 12/24389) 64/24389)
(fma.f64 (cbrt.f64 (.f64 (.f64 x x) 144/594823321)) (cbrt.f64 (*.f64 x 12/24389)) 64/24389)
(fma.f64 (sqrt.f64 (.f64 x 12/24389)) (sqrt.f64 (.f64 x 12/24389)) 64/24389)

Outputs
(cbrt.f64 64/24389)
(+.f64 (.f64 4/24389 (.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 64/24389) 2)) 1/3) x)) (cbrt.f64 64/24389))
(fma.f64 4/24389 (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 64/24389) 2))) x) (cbrt.f64 64/24389))
(+.f64 (.f64 -16/594823321 (.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 64/24389) 7)) 1/3) (pow.f64 x 2))) (+.f64 (.f64 4/24389 (.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 64/24389) 2)) 1/3) x)) (cbrt.f64 64/24389)))
(fma.f64 -16/594823321 (.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 64/24389) 7))) (.f64 x x)) (fma.f64 4/24389 (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 64/24389) 2))) x) (cbrt.f64 64/24389)))
(fma.f64 4/24389 (.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 64/24389) 2))) x) (fma.f64 -16/594823321 (.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 64/24389) 7))) (*.f64 x x)) (cbrt.f64 64/24389)))
(+.f64 (.f64 -16/594823321 (.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 64/24389) 7)) 1/3) (pow.f64 x 2))) (+.f64 (.f64 4/24389 (.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 64/24389) 2)) 1/3) x)) (+.f64 (cbrt.f64 64/24389) (.f64 -1/3 (/.f64 (.f64 (+.f64 (.f64 -384/14507145975869 (.f64 (pow.f64 1 1/3) (/.f64 1 (pow.f64 (cbrt.f64 64/24389) 2)))) (*.f64 64/14507145975869 (/.f64 1 (pow.f64 (cbrt.f64 64/24389) 2)))) (pow.f64 x 3)) (pow.f64 (cbrt.f64 64/24389) 2))))))
(fma.f64 -16/594823321 (.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 64/24389) 7))) (.f64 x x)) (+.f64 (fma.f64 4/24389 (.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 64/24389) 2))) x) (cbrt.f64 64/24389)) (.f64 -1/3 (/.f64 (fma.f64 -384/14507145975869 (/.f64 1 (pow.f64 (cbrt.f64 64/24389) 2)) (/.f64 64/14507145975869 (pow.f64 (cbrt.f64 64/24389) 2))) (/.f64 (pow.f64 (cbrt.f64 64/24389) 2) (pow.f64 x 3))))))
(fma.f64 -16/594823321 (.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 64/24389) 7))) (.f64 x x)) (fma.f64 4/24389 (.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 64/24389) 2))) x) (fma.f64 -1/3 (/.f64 (.f64 (/.f64 1 (pow.f64 (cbrt.f64 64/24389) 2)) -320/14507145975869) (/.f64 (pow.f64 (cbrt.f64 64/24389) 2) (pow.f64 x 3))) (cbrt.f64 64/24389))))
(fma.f64 4/24389 (.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 64/24389) 2))) x) (fma.f64 -16/594823321 (.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 64/24389) 7))) (.f64 x x)) (fma.f64 -1/3 (.f64 (/.f64 (pow.f64 x 3) (pow.f64 (cbrt.f64 64/24389) 2)) (/.f64 -320/14507145975869 (pow.f64 (cbrt.f64 64/24389) 2))) (cbrt.f64 64/24389))))
(*.f64 12/24389 x)
(*.f64 x 12/24389)
(*.f64 12/24389 x)
(*.f64 x 12/24389)
(*.f64 12/24389 x)
(*.f64 x 12/24389)
(*.f64 12/24389 x)
(*.f64 x 12/24389)
(*.f64 12/24389 x)
(*.f64 x 12/24389)
(*.f64 12/24389 x)
(*.f64 x 12/24389)
(*.f64 12/24389 x)
(*.f64 x 12/24389)
(*.f64 12/24389 x)
(*.f64 x 12/24389)
(*.f64 12/24389 x)
(*.f64 x 12/24389)
(*.f64 12/24389 x)
(*.f64 x 12/24389)
(*.f64 12/24389 x)
(*.f64 x 12/24389)
(*.f64 12/24389 x)
(*.f64 x 12/24389)
64/24389
(+.f64 64/24389 (*.f64 12/24389 x))
(fma.f64 x 12/24389 64/24389)
(+.f64 64/24389 (*.f64 12/24389 x))
(fma.f64 x 12/24389 64/24389)
(+.f64 64/24389 (*.f64 12/24389 x))
(fma.f64 x 12/24389 64/24389)
(*.f64 12/24389 x)
(*.f64 x 12/24389)
(+.f64 64/24389 (*.f64 12/24389 x))
(fma.f64 x 12/24389 64/24389)
(+.f64 64/24389 (*.f64 12/24389 x))
(fma.f64 x 12/24389 64/24389)
(+.f64 64/24389 (*.f64 12/24389 x))
(fma.f64 x 12/24389 64/24389)
(*.f64 12/24389 x)
(*.f64 x 12/24389)
(+.f64 64/24389 (*.f64 12/24389 x))
(fma.f64 x 12/24389 64/24389)
(+.f64 64/24389 (*.f64 12/24389 x))
(fma.f64 x 12/24389 64/24389)
(+.f64 64/24389 (*.f64 12/24389 x))
(fma.f64 x 12/24389 64/24389)
(-.f64 (+.f64 1 (cbrt.f64 (fma.f64 x 12/24389 64/24389))) 1)
(+.f64 1 (-.f64 (cbrt.f64 (fma.f64 x 12/24389 64/24389)) 1))
(+.f64 (cbrt.f64 (fma.f64 x 12/24389 64/24389)) 0)
(cbrt.f64 (fma.f64 x 12/24389 64/24389))
(*.f64 (cbrt.f64 (fma.f64 x 12/24389 64/24389)) 1)
(+.f64 1 (-.f64 (cbrt.f64 (fma.f64 x 12/24389 64/24389)) 1))
(+.f64 (cbrt.f64 (fma.f64 x 12/24389 64/24389)) 0)
(cbrt.f64 (fma.f64 x 12/24389 64/24389))
(*.f64 1 (cbrt.f64 (fma.f64 x 12/24389 64/24389)))
(+.f64 1 (-.f64 (cbrt.f64 (fma.f64 x 12/24389 64/24389)) 1))
(+.f64 (cbrt.f64 (fma.f64 x 12/24389 64/24389)) 0)
(cbrt.f64 (fma.f64 x 12/24389 64/24389))
(*.f64 (cbrt.f64 (cbrt.f64 (fma.f64 x 12/24389 64/24389))) (cbrt.f64 (cbrt.f64 (pow.f64 (fma.f64 x 12/24389 64/24389) 2))))
(*.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (fma.f64 x 12/24389 64/24389) 2))) (cbrt.f64 (cbrt.f64 (fma.f64 x 12/24389 64/24389))))
(*.f64 (cbrt.f64 (cbrt.f64 (fma.f64 x 12/24389 64/24389))) (cbrt.f64 (cbrt.f64 (pow.f64 (fma.f64 x 12/24389 64/24389) 2))))
(*.f64 (pow.f64 (fma.f64 x 12/24389 64/24389) 1/6) (pow.f64 (fma.f64 x 12/24389 64/24389) 1/6))
(+.f64 1 (-.f64 (cbrt.f64 (fma.f64 x 12/24389 64/24389)) 1))
(+.f64 (cbrt.f64 (fma.f64 x 12/24389 64/24389)) 0)
(cbrt.f64 (fma.f64 x 12/24389 64/24389))
(*.f64 (pow.f64 1 1/3) (cbrt.f64 (fma.f64 x 12/24389 64/24389)))
(+.f64 1 (-.f64 (cbrt.f64 (fma.f64 x 12/24389 64/24389)) 1))
(+.f64 (cbrt.f64 (fma.f64 x 12/24389 64/24389)) 0)
(cbrt.f64 (fma.f64 x 12/24389 64/24389))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (fma.f64 x 12/24389 64/24389) 2)) 1/3) (cbrt.f64 (cbrt.f64 (fma.f64 x 12/24389 64/24389))))
(*.f64 (cbrt.f64 (cbrt.f64 (fma.f64 x 12/24389 64/24389))) (cbrt.f64 (cbrt.f64 (pow.f64 (fma.f64 x 12/24389 64/24389) 2))))
(*.f64 (pow.f64 (sqrt.f64 (fma.f64 x 12/24389 64/24389)) 1/3) (pow.f64 (sqrt.f64 (fma.f64 x 12/24389 64/24389)) 1/3))
(*.f64 (cbrt.f64 (sqrt.f64 (fma.f64 x 12/24389 64/24389))) (cbrt.f64 (sqrt.f64 (fma.f64 x 12/24389 64/24389))))
(pow.f64 (pow.f64 (sqrt.f64 (fma.f64 x 12/24389 64/24389)) 1/6) 4)
(/.f64 (cbrt.f64 (-.f64 4096/594823321 (.f64 (.f64 x x) 144/594823321))) (cbrt.f64 (+.f64 64/24389 (*.f64 -12/24389 x))))
(/.f64 (cbrt.f64 (-.f64 4096/594823321 (.f64 (.f64 x x) 144/594823321))) (cbrt.f64 (+.f64 64/24389 (*.f64 x -12/24389))))
(/.f64 (cbrt.f64 (+.f64 4096/594823321 (.f64 (.f64 x x) -144/594823321))) (cbrt.f64 (fma.f64 x -12/24389 64/24389)))
(/.f64 (cbrt.f64 (fma.f64 x (*.f64 x -144/594823321) 4096/594823321)) (cbrt.f64 (fma.f64 x -12/24389 64/24389)))
(/.f64 (cbrt.f64 (+.f64 262144/14507145975869 (.f64 (pow.f64 x 3) 1728/14507145975869))) (cbrt.f64 (+.f64 4096/594823321 (-.f64 (.f64 (.f64 x x) 144/594823321) (.f64 768/594823321 x)))))
(/.f64 (cbrt.f64 (+.f64 262144/14507145975869 (.f64 (pow.f64 x 3) 1728/14507145975869))) (cbrt.f64 (+.f64 4096/594823321 (+.f64 (.f64 (.f64 x x) 144/594823321) (.f64 -768/594823321 x)))))
(/.f64 (cbrt.f64 (fma.f64 (pow.f64 x 3) 1728/14507145975869 262144/14507145975869)) (cbrt.f64 (+.f64 4096/594823321 (.f64 x (-.f64 (.f64 x 144/594823321) 768/594823321)))))
(/.f64 (cbrt.f64 (fma.f64 (pow.f64 x 3) 1728/14507145975869 262144/14507145975869)) (cbrt.f64 (fma.f64 x (fma.f64 x 144/594823321 -768/594823321) 4096/594823321)))
(sqrt.f64 (cbrt.f64 (pow.f64 (fma.f64 x 12/24389 64/24389) 2)))
(log.f64 (exp.f64 (cbrt.f64 (fma.f64 x 12/24389 64/24389))))
(+.f64 1 (-.f64 (cbrt.f64 (fma.f64 x 12/24389 64/24389)) 1))
(+.f64 (cbrt.f64 (fma.f64 x 12/24389 64/24389)) 0)
(cbrt.f64 (fma.f64 x 12/24389 64/24389))
(cbrt.f64 (fma.f64 x 12/24389 64/24389))
(+.f64 1 (-.f64 (cbrt.f64 (fma.f64 x 12/24389 64/24389)) 1))
(+.f64 (cbrt.f64 (fma.f64 x 12/24389 64/24389)) 0)
(expm1.f64 (log1p.f64 (cbrt.f64 (fma.f64 x 12/24389 64/24389))))
(+.f64 1 (-.f64 (cbrt.f64 (fma.f64 x 12/24389 64/24389)) 1))
(+.f64 (cbrt.f64 (fma.f64 x 12/24389 64/24389)) 0)
(cbrt.f64 (fma.f64 x 12/24389 64/24389))
(log1p.f64 (expm1.f64 (cbrt.f64 (fma.f64 x 12/24389 64/24389))))
(+.f64 1 (-.f64 (cbrt.f64 (fma.f64 x 12/24389 64/24389)) 1))
(+.f64 (cbrt.f64 (fma.f64 x 12/24389 64/24389)) 0)
(cbrt.f64 (fma.f64 x 12/24389 64/24389))
(exp.f64 (log.f64 (cbrt.f64 (fma.f64 x 12/24389 64/24389))))
(+.f64 1 (-.f64 (cbrt.f64 (fma.f64 x 12/24389 64/24389)) 1))
(+.f64 (cbrt.f64 (fma.f64 x 12/24389 64/24389)) 0)
(cbrt.f64 (fma.f64 x 12/24389 64/24389))
(-.f64 (+.f64 1 (*.f64 x 12/24389)) 1)
(*.f64 x 12/24389)
(pow.f64 (*.f64 x 12/24389) 1)
(*.f64 x 12/24389)
(pow.f64 (cbrt.f64 (*.f64 x 12/24389)) 3)
(*.f64 x 12/24389)
(pow.f64 (sqrt.f64 (*.f64 x 12/24389)) 2)
(*.f64 x 12/24389)
(pow.f64 (*.f64 (pow.f64 x 3) 1728/14507145975869) 1/3)
(cbrt.f64 (*.f64 (pow.f64 x 3) 1728/14507145975869))
(sqrt.f64 (.f64 (.f64 x x) 144/594823321))
(sqrt.f64 (.f64 x (.f64 x 144/594823321)))
(log.f64 (exp.f64 (*.f64 x 12/24389)))
(*.f64 x 12/24389)
(cbrt.f64 (*.f64 (pow.f64 x 3) 1728/14507145975869))
(expm1.f64 (log1p.f64 (*.f64 x 12/24389)))
(*.f64 x 12/24389)
(log1p.f64 (expm1.f64 (*.f64 x 12/24389)))
(*.f64 x 12/24389)
(exp.f64 (log.f64 (*.f64 x 12/24389)))
(*.f64 x 12/24389)
(-.f64 (+.f64 1 (fma.f64 x 12/24389 64/24389)) 1)
(fma.f64 x 12/24389 64/24389)
(-.f64 (/.f64 4096/594823321 (+.f64 64/24389 (.f64 -12/24389 x))) (/.f64 (.f64 (.f64 x x) 144/594823321) (+.f64 64/24389 (.f64 -12/24389 x))))
(/.f64 (-.f64 4096/594823321 (.f64 (.f64 x x) 144/594823321)) (+.f64 64/24389 (*.f64 x -12/24389)))
(/.f64 (+.f64 4096/594823321 (.f64 (.f64 x x) -144/594823321)) (fma.f64 x -12/24389 64/24389))
(/.f64 (fma.f64 (*.f64 x x) 144/594823321 -4096/594823321) (fma.f64 x 12/24389 -64/24389))
(*.f64 (fma.f64 x 12/24389 64/24389) 1)
(fma.f64 x 12/24389 64/24389)
(*.f64 (cbrt.f64 (fma.f64 x 12/24389 64/24389)) (cbrt.f64 (pow.f64 (fma.f64 x 12/24389 64/24389) 2)))
(fma.f64 x 12/24389 64/24389)
(*.f64 1 (fma.f64 x 12/24389 64/24389))
(fma.f64 x 12/24389 64/24389)
(*.f64 (cbrt.f64 (pow.f64 (fma.f64 x 12/24389 64/24389) 2)) (cbrt.f64 (fma.f64 x 12/24389 64/24389)))
(fma.f64 x 12/24389 64/24389)
(*.f64 (sqrt.f64 (fma.f64 x 12/24389 64/24389)) (sqrt.f64 (fma.f64 x 12/24389 64/24389)))
(fma.f64 x 12/24389 64/24389)
(.f64 (+.f64 262144/14507145975869 (.f64 (pow.f64 x 3) 1728/14507145975869)) (/.f64 1 (+.f64 4096/594823321 (-.f64 (.f64 (.f64 x x) 144/594823321) (*.f64 768/594823321 x)))))
(/.f64 (.f64 (+.f64 262144/14507145975869 (.f64 (pow.f64 x 3) 1728/14507145975869)) 1) (+.f64 4096/594823321 (+.f64 (.f64 (.f64 x x) 144/594823321) (*.f64 -768/594823321 x))))
(/.f64 (fma.f64 (pow.f64 x 3) 1728/14507145975869 262144/14507145975869) (+.f64 4096/594823321 (.f64 x (-.f64 (.f64 x 144/594823321) 768/594823321))))
(/.f64 (fma.f64 (pow.f64 x 3) 1728/14507145975869 262144/14507145975869) (fma.f64 x (fma.f64 x 144/594823321 -768/594823321) 4096/594823321))
(.f64 (-.f64 4096/594823321 (.f64 (.f64 x x) 144/594823321)) (/.f64 1 (+.f64 64/24389 (.f64 -12/24389 x))))
(/.f64 (-.f64 4096/594823321 (.f64 (.f64 x x) 144/594823321)) (+.f64 64/24389 (*.f64 x -12/24389)))
(/.f64 (+.f64 4096/594823321 (.f64 (.f64 x x) -144/594823321)) (fma.f64 x -12/24389 64/24389))
(/.f64 (fma.f64 (*.f64 x x) 144/594823321 -4096/594823321) (fma.f64 x 12/24389 -64/24389))
(.f64 (.f64 (cbrt.f64 (pow.f64 (fma.f64 x 12/24389 64/24389) 2)) 1) (cbrt.f64 (fma.f64 x 12/24389 64/24389)))
(fma.f64 x 12/24389 64/24389)
(.f64 (.f64 (cbrt.f64 (pow.f64 (fma.f64 x 12/24389 64/24389) 2)) (cbrt.f64 (cbrt.f64 (pow.f64 (fma.f64 x 12/24389 64/24389) 2)))) (cbrt.f64 (cbrt.f64 (fma.f64 x 12/24389 64/24389))))
(.f64 (cbrt.f64 (cbrt.f64 (fma.f64 x 12/24389 64/24389))) (.f64 (cbrt.f64 (pow.f64 (fma.f64 x 12/24389 64/24389) 2)) (cbrt.f64 (cbrt.f64 (pow.f64 (fma.f64 x 12/24389 64/24389) 2)))))
(.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (fma.f64 x 12/24389 64/24389) 2))) (.f64 (cbrt.f64 (cbrt.f64 (fma.f64 x 12/24389 64/24389))) (cbrt.f64 (pow.f64 (fma.f64 x 12/24389 64/24389) 2))))
(.f64 (cbrt.f64 (cbrt.f64 (fma.f64 x 12/24389 64/24389))) (.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (fma.f64 x 12/24389 64/24389) 2))) (cbrt.f64 (pow.f64 (fma.f64 x 12/24389 64/24389) 2))))
(.f64 (.f64 (cbrt.f64 (pow.f64 (fma.f64 x 12/24389 64/24389) 2)) (pow.f64 (fma.f64 x 12/24389 64/24389) 1/6)) (pow.f64 (fma.f64 x 12/24389 64/24389) 1/6))
(fma.f64 x 12/24389 64/24389)
(/.f64 1 (/.f64 (+.f64 4096/594823321 (-.f64 (.f64 (.f64 x x) 144/594823321) (.f64 768/594823321 x))) (+.f64 262144/14507145975869 (.f64 (pow.f64 x 3) 1728/14507145975869))))
(/.f64 (.f64 (+.f64 262144/14507145975869 (.f64 (pow.f64 x 3) 1728/14507145975869)) 1) (+.f64 4096/594823321 (+.f64 (.f64 (.f64 x x) 144/594823321) (*.f64 -768/594823321 x))))
(/.f64 (fma.f64 (pow.f64 x 3) 1728/14507145975869 262144/14507145975869) (+.f64 4096/594823321 (.f64 x (-.f64 (.f64 x 144/594823321) 768/594823321))))
(/.f64 (fma.f64 (pow.f64 x 3) 1728/14507145975869 262144/14507145975869) (fma.f64 x (fma.f64 x 144/594823321 -768/594823321) 4096/594823321))
(/.f64 1 (/.f64 (+.f64 64/24389 (.f64 -12/24389 x)) (-.f64 4096/594823321 (.f64 (*.f64 x x) 144/594823321))))
(/.f64 (-.f64 4096/594823321 (.f64 (.f64 x x) 144/594823321)) (+.f64 64/24389 (*.f64 x -12/24389)))
(/.f64 (+.f64 4096/594823321 (.f64 (.f64 x x) -144/594823321)) (fma.f64 x -12/24389 64/24389))
(/.f64 (fma.f64 (*.f64 x x) 144/594823321 -4096/594823321) (fma.f64 x 12/24389 -64/24389))
(/.f64 (+.f64 262144/14507145975869 (.f64 (pow.f64 x 3) 1728/14507145975869)) (+.f64 4096/594823321 (-.f64 (.f64 (.f64 x x) 144/594823321) (.f64 768/594823321 x))))
(/.f64 (.f64 (+.f64 262144/14507145975869 (.f64 (pow.f64 x 3) 1728/14507145975869)) 1) (+.f64 4096/594823321 (+.f64 (.f64 (.f64 x x) 144/594823321) (*.f64 -768/594823321 x))))
(/.f64 (fma.f64 (pow.f64 x 3) 1728/14507145975869 262144/14507145975869) (+.f64 4096/594823321 (.f64 x (-.f64 (.f64 x 144/594823321) 768/594823321))))
(/.f64 (fma.f64 (pow.f64 x 3) 1728/14507145975869 262144/14507145975869) (fma.f64 x (fma.f64 x 144/594823321 -768/594823321) 4096/594823321))
(/.f64 (+.f64 262144/14507145975869 (.f64 (pow.f64 x 3) 1728/14507145975869)) (+.f64 (.f64 (.f64 x x) 144/594823321) (-.f64 4096/594823321 (.f64 768/594823321 x))))
(/.f64 (.f64 (+.f64 262144/14507145975869 (.f64 (pow.f64 x 3) 1728/14507145975869)) 1) (+.f64 4096/594823321 (+.f64 (.f64 (.f64 x x) 144/594823321) (*.f64 -768/594823321 x))))
(/.f64 (fma.f64 (pow.f64 x 3) 1728/14507145975869 262144/14507145975869) (+.f64 4096/594823321 (.f64 x (-.f64 (.f64 x 144/594823321) 768/594823321))))
(/.f64 (fma.f64 (pow.f64 x 3) 1728/14507145975869 262144/14507145975869) (fma.f64 x (fma.f64 x 144/594823321 -768/594823321) 4096/594823321))
(/.f64 (-.f64 4096/594823321 (.f64 (.f64 x x) 144/594823321)) (+.f64 64/24389 (*.f64 -12/24389 x)))
(/.f64 (-.f64 4096/594823321 (.f64 (.f64 x x) 144/594823321)) (+.f64 64/24389 (*.f64 x -12/24389)))
(/.f64 (+.f64 4096/594823321 (.f64 (.f64 x x) -144/594823321)) (fma.f64 x -12/24389 64/24389))
(/.f64 (fma.f64 (*.f64 x x) 144/594823321 -4096/594823321) (fma.f64 x 12/24389 -64/24389))
(/.f64 (neg.f64 (+.f64 262144/14507145975869 (.f64 (pow.f64 x 3) 1728/14507145975869))) (neg.f64 (+.f64 4096/594823321 (-.f64 (.f64 (.f64 x x) 144/594823321) (.f64 768/594823321 x)))))
(/.f64 (.f64 (+.f64 262144/14507145975869 (.f64 (pow.f64 x 3) 1728/14507145975869)) 1) (+.f64 4096/594823321 (+.f64 (.f64 (.f64 x x) 144/594823321) (*.f64 -768/594823321 x))))
(/.f64 (fma.f64 (pow.f64 x 3) 1728/14507145975869 262144/14507145975869) (+.f64 4096/594823321 (.f64 x (-.f64 (.f64 x 144/594823321) 768/594823321))))
(/.f64 (fma.f64 (pow.f64 x 3) 1728/14507145975869 262144/14507145975869) (fma.f64 x (fma.f64 x 144/594823321 -768/594823321) 4096/594823321))
(/.f64 (neg.f64 (-.f64 4096/594823321 (.f64 (.f64 x x) 144/594823321))) (neg.f64 (+.f64 64/24389 (*.f64 -12/24389 x))))
(/.f64 (-.f64 4096/594823321 (.f64 (.f64 x x) 144/594823321)) (+.f64 64/24389 (*.f64 x -12/24389)))
(/.f64 (+.f64 4096/594823321 (.f64 (.f64 x x) -144/594823321)) (fma.f64 x -12/24389 64/24389))
(/.f64 (fma.f64 (*.f64 x x) 144/594823321 -4096/594823321) (fma.f64 x 12/24389 -64/24389))
(/.f64 (-.f64 (.f64 (.f64 x x) 144/594823321) 4096/594823321) (-.f64 (*.f64 x 12/24389) 64/24389))
(/.f64 (-.f64 4096/594823321 (.f64 (.f64 x x) 144/594823321)) (+.f64 64/24389 (*.f64 x -12/24389)))
(/.f64 (+.f64 4096/594823321 (.f64 (.f64 x x) -144/594823321)) (fma.f64 x -12/24389 64/24389))
(/.f64 (fma.f64 (*.f64 x x) 144/594823321 -4096/594823321) (fma.f64 x 12/24389 -64/24389))
(pow.f64 (fma.f64 x 12/24389 64/24389) 1)
(fma.f64 x 12/24389 64/24389)
(pow.f64 (cbrt.f64 (fma.f64 x 12/24389 64/24389)) 3)
(fma.f64 x 12/24389 64/24389)
(pow.f64 (pow.f64 (fma.f64 x 12/24389 64/24389) 3) 1/3)
(fma.f64 x 12/24389 64/24389)
(pow.f64 (sqrt.f64 (fma.f64 x 12/24389 64/24389)) 2)
(fma.f64 x 12/24389 64/24389)
(sqrt.f64 (pow.f64 (fma.f64 x 12/24389 64/24389) 2))
(fma.f64 x 12/24389 64/24389)
(log.f64 (exp.f64 (fma.f64 x 12/24389 64/24389)))
(fma.f64 x 12/24389 64/24389)
(cbrt.f64 (pow.f64 (fma.f64 x 12/24389 64/24389) 3))
(fma.f64 x 12/24389 64/24389)
(expm1.f64 (log1p.f64 (fma.f64 x 12/24389 64/24389)))
(fma.f64 x 12/24389 64/24389)
(log1p.f64 (expm1.f64 (fma.f64 x 12/24389 64/24389)))
(fma.f64 x 12/24389 64/24389)
(exp.f64 (log.f64 (fma.f64 x 12/24389 64/24389)))
(fma.f64 x 12/24389 64/24389)
(fma.f64 x 12/24389 64/24389)
(fma.f64 12/24389 x 64/24389)
(fma.f64 x 12/24389 64/24389)
(fma.f64 1 (*.f64 x 12/24389) 64/24389)
(fma.f64 x 12/24389 64/24389)
(fma.f64 (cbrt.f64 (.f64 (.f64 x x) 144/594823321)) (cbrt.f64 (*.f64 x 12/24389)) 64/24389)
(fma.f64 (cbrt.f64 (.f64 x (.f64 x 144/594823321))) (cbrt.f64 (*.f64 x 12/24389)) 64/24389)
(fma.f64 (cbrt.f64 (.f64 x 12/24389)) (cbrt.f64 (.f64 (*.f64 x x) 144/594823321)) 64/24389)
(fma.f64 (sqrt.f64 (.f64 x 12/24389)) (sqrt.f64 (.f64 x 12/24389)) 64/24389)
(fma.f64 x 12/24389 64/24389)

eval36.0ms (2.5%)

Compiler: Compiled 1456 to 1228 computations (15.7% saved)

prune15.0ms (1%)

Pruning

5 alts after pruning (1 fresh and 4 done)

	Pruned	Kept	Total
New	99	0	99
Fresh	0	1	1
Picked	0	1	1
Done	0	3	3
Total	99	5	104

Error

Counts

104 → 5

Alt Table

Click to see full alt table

Status	Error	Program
✓	33.4b	(pow.f64 (+.f64 64/24389 (*.f64 x 12/24389)) 1/3)
✓	0.0b	(/.f64 (+.f64 x 16) 116)
✓	0.1b	(+.f64 4/29 (*.f64 1/116 x))
✓	29.7b	(*.f64 1/116 x)
	33.8b	4/29

Compiler

Compiled 26 to 22 computations (15.4% saved)

eval0.0ms (0%)

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

prune2.0ms (0.1%)

Pruning

5 alts after pruning (1 fresh and 4 done)

	Kept	Total
New	0	0
Fresh	1	1
Picked	0	0
Done	4	4
Total	5	5

Error

Counts

5 → 5

Alt Table

Click to see full alt table

Status	Error	Program
✓	33.4b	(pow.f64 (+.f64 64/24389 (*.f64 x 12/24389)) 1/3)
✓	0.0b	(/.f64 (+.f64 x 16) 116)
✓	0.1b	(+.f64 4/29 (*.f64 1/116 x))
✓	29.7b	(*.f64 1/116 x)
	33.8b	4/29

Compiler

Compiled 26 to 22 computations (15.4% saved)

regimes15.0ms (1%)

Counts

6 → 1

Calls

Call 1

Inputs
4/29
(*.f64 1/116 x)
(+.f64 4/29 (*.f64 1/116 x))
(/.f64 (+.f64 x 16) 116)
(pow.f64 (+.f64 64/24389 (*.f64 x 12/24389)) 1/3)
(pow.f64 (pow.f64 (*.f64 (+.f64 x 16) 1/116) 3) 1/3)

Outputs
(/.f64 (+.f64 x 16) 116)

Calls

3 calls:

6.0ms	x
3.0ms	(/.f64 (+.f64 x 16) 116)
3.0ms	(+.f64 x 16)

Results

Error	Segments	Branch
0.0b	1	`x`
0.0b	1	`(/.f64 (+.f64 x 16) 116)`
0.0b	1	`(+.f64 x 16)`

Compiler

Compiled 43 to 35 computations (18.6% saved)

regimes4.0ms (0.3%)

Counts

3 → 1

Calls

Call 1

Inputs
4/29
(*.f64 1/116 x)
(+.f64 4/29 (*.f64 1/116 x))

Outputs
(+.f64 4/29 (*.f64 1/116 x))

Calls

1 calls:

3.0ms

Results

Error	Segments	Branch
0.1b	1	`x`

Compiler

Compiled 12 to 9 computations (25% saved)

regimes8.0ms (0.6%)

Accuracy

Total -59.9b remaining (-3436.3%)

Threshold costs -59.9b (-3436.3%)

Counts

2 → 3

Calls

Call 1

Inputs
4/29
(*.f64 1/116 x)

Outputs
(*.f64 1/116 x)
4/29
(*.f64 1/116 x)

Calls

1 calls:

8.0ms

Results

Error	Segments	Branch
1.7b	3	`x`

Compiler

Compiled 7 to 5 computations (28.6% saved)

bsearch29.0ms (2%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
10.0ms	10.356080896487997	1466.642486156814
19.0ms	-28276.30915487698	-1.242934543812367e-17

Results

25.0ms

288×

body

256

valid

Compiler

Compiled 154 to 134 computations (13% saved)

simplify3.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

2×	`+-commutative_binary64`
1×	`*-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	36
1	19	36

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(/.f64 (+.f64 x 16) 116)
(+.f64 4/29 (*.f64 1/116 x))
(if (<=.f64 x -16) (.f64 1/116 x) (if (<=.f64 x 16) 4/29 (.f64 1/116 x)))
4/29

Outputs
(/.f64 (+.f64 x 16) 116)
(+.f64 4/29 (*.f64 1/116 x))
(+.f64 4/29 (*.f64 x 1/116))
(if (<=.f64 x -16) (.f64 1/116 x) (if (<=.f64 x 16) 4/29 (.f64 1/116 x)))
(if (<=.f64 x -16) (.f64 x 1/116) (if (<=.f64 x 16) 4/29 (.f64 x 1/116)))
4/29

Compiler

Compiled 30 to 24 computations (20% saved)

soundness0.0ms (0%)

end30.0ms (2.1%)

Compiler: Compiled 27 to 21 computations (22.2% saved)

Details

analyze3.0ms (0.2%)

sample622.0ms (42.9%)

preprocess16.0ms (1.1%)

simplify6.0ms (0.4%)

eval2.0ms (0.1%)

prune1.0ms (0%)

localize5.0ms (0.3%)

series1.0ms (0.1%)

rewrite43.0ms (3%)

simplify39.0ms (2.7%)

eval5.0ms (0.4%)

prune5.0ms (0.3%)

localize3.0ms (0.2%)

series2.0ms (0.1%)

rewrite39.0ms (2.7%)

simplify36.0ms (2.5%)

localize5.0ms (0.3%)

series1.0ms (0.1%)

rewrite39.0ms (2.7%)

simplify37.0ms (2.5%)

localize13.0ms (0.9%)

series7.0ms (0.5%)

rewrite52.0ms (3.6%)

simplify73.0ms (5%)

eval95.0ms (6.6%)

prune36.0ms (2.5%)

localize10.0ms (0.7%)

series4.0ms (0.3%)

rewrite51.0ms (3.5%)

simplify59.0ms (4.1%)

eval36.0ms (2.5%)

prune15.0ms (1%)

eval0.0ms (0%)

prune2.0ms (0.1%)

regimes15.0ms (1%)

regimes4.0ms (0.3%)

regimes8.0ms (0.6%)

bsearch29.0ms (2%)

simplify3.0ms (0.2%)

soundness0.0ms (0%)

end30.0ms (2.1%)

Profiling