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)

sample1.0s (67.7%)

Results

1.0s

8256×

body

256

valid

Bogosity

preprocess14.0ms (0.9%)

Algorithm

2×	egg-herbie

Rules

2×	`+-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	13
1	8	13
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)

simplify13.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

2×	`+-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	13
1	8	13

Stop Event

1×

saturated

Counts

1 → 1

Calls

Call 1

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

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

eval0.0ms (0%)

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)

localize4.0ms (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)

rewrite51.0ms (3.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1628×	`add-sqr-sqrt`
1586×	`*-un-lft-identity`
1518×	`add-cube-cbrt`
1508×	`add-cbrt-cube`
154×	`add-exp-log`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	13
1	161	13
2	1976	13

Stop Event

1×	node limit

Counts

1 → 25

Calls

Call 1

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

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

Outputs

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

simplify52.0ms (3.4%)

Algorithm

1×	egg-herbie

Rules

1500×	`associate-*r/`
810×	`fma-def`
806×	`associate-+r+`
752×	`*-commutative`
742×	`associate-+l+`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	68	457
1	151	321
2	567	321
3	2423	321
4	5657	321

Stop Event

1×	node limit

Counts

37 → 29

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

eval6.0ms (0.4%)

Compiler: Compiled 227 to 194 computations (14.5% saved)

prune6.0ms (0.4%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	26	3	29
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	26	4	30

Error

Counts

30 → 4

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.0b	(/.f64 (+.f64 x 16) 116)
▶	0.1b	(+.f64 4/29 (*.f64 1/116 x))
▶	33.2b	(*.f64 1/116 x)
	30.0b	4/29

Compiler

Compiled 18 to 15 computations (16.7% saved)

localize2.0ms (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)

series1.0ms (0.1%)

Counts

1 → 0

Calls

3 calls:

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

rewrite45.0ms (2.9%)

Algorithm

1×	batch-egg-rewrite

Rules

920×	`associate-l`
902×	`add-sqr-sqrt`
884×	`*-un-lft-identity`
842×	`pow1`
826×	`add-cube-cbrt`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	7
1	100	7
2	1110	7

Stop Event

1×	node limit

Counts

1 → 11

Calls

Call 1

Inputs
(*.f64 1/116 x)

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

Outputs

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

simplify60.0ms (3.9%)

Algorithm

1×	egg-herbie

Rules

858×	`log-prod`
794×	`associate-+r-`
788×	`+-commutative`
696×	`fma-def`
682×	`*-commutative`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	33	143
1	84	77
2	260	77
3	1809	77
4	3980	77
5	6430	77

Stop Event

1×	node limit

Counts

11 → 13

Calls

Call 1

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

Outputs
(-.f64 (+.f64 (*.f64 1/116 x) 1) 1)
(+.f64 (*.f64 1/116 x) 0)
(*.f64 1/116 x)
(pow.f64 (*.f64 1/116 x) 1)
(+.f64 (*.f64 1/116 x) 0)
(*.f64 1/116 x)
(pow.f64 (sqrt.f64 (*.f64 1/116 x)) 2)
(+.f64 (*.f64 1/116 x) 0)
(*.f64 1/116 x)
(pow.f64 (cbrt.f64 (*.f64 1/116 x)) 3)
(+.f64 (*.f64 1/116 x) 0)
(*.f64 1/116 x)
(pow.f64 (pow.f64 (*.f64 1/116 x) 3) 1/3)
(+.f64 (*.f64 1/116 x) 0)
(*.f64 1/116 x)
(sqrt.f64 (.f64 x (.f64 x 1/13456)))
(+.f64 (*.f64 1/116 x) 0)
(*.f64 1/116 x)
(log.f64 (pow.f64 (exp.f64 1/116) x))
(+.f64 (*.f64 1/116 x) 0)
(*.f64 1/116 x)
(cbrt.f64 (pow.f64 (*.f64 1/116 x) 3))
(+.f64 (*.f64 1/116 x) 0)
(*.f64 1/116 x)
(expm1.f64 (log1p.f64 (*.f64 1/116 x)))
(+.f64 (*.f64 1/116 x) 0)
(*.f64 1/116 x)
(exp.f64 (log.f64 (*.f64 1/116 x)))
(+.f64 (*.f64 1/116 x) 0)
(*.f64 1/116 x)
(log1p.f64 (expm1.f64 (*.f64 1/116 x)))
(+.f64 (*.f64 1/116 x) 0)
(*.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)

series0.0ms (0%)

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))

rewrite52.0ms (3.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1538×	`add-sqr-sqrt`
1502×	`*-un-lft-identity`
1426×	`add-cube-cbrt`
1416×	`add-cbrt-cube`
1402×	`add-exp-log`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	7	13
1	152	9
2	1839	9

Stop Event

1×	node limit

Counts

1 → 33

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

simplify64.0ms (4.2%)

Algorithm

1×	egg-herbie

Rules

1148×	`distribute-lft-in`
1064×	`distribute-rgt-in`
914×	`associate-/l*`
908×	`associate-r`
892×	`*-commutative`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	90	1018
1	208	788
2	755	598
3	3359	598

Stop Event

1×	node limit

Counts

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

eval18.0ms (1.1%)

Compiler: Compiled 655 to 519 computations (20.8% saved)

prune10.0ms (0.6%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	71	0	71
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	71	4	75

Error

Counts

75 → 4

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.0b	(/.f64 (+.f64 x 16) 116)
✓	0.1b	(+.f64 4/29 (*.f64 1/116 x))
✓	33.2b	(*.f64 1/116 x)
	30.0b	4/29

Compiler

Compiled 18 to 15 computations (16.7% saved)

eval0.0ms (0%)

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

prune2.0ms (0.1%)

Pruning

4 alts after pruning (1 fresh and 3 done)

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

Error

Counts

4 → 4

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.0b	(/.f64 (+.f64 x 16) 116)
✓	0.1b	(+.f64 4/29 (*.f64 1/116 x))
✓	33.2b	(*.f64 1/116 x)
	30.0b	4/29

Compiler

Compiled 18 to 15 computations (16.7% saved)

eval0.0ms (0%)

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

prune2.0ms (0.1%)

Pruning

4 alts after pruning (1 fresh and 3 done)

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

Error

Counts

4 → 4

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.0b	(/.f64 (+.f64 x 16) 116)
✓	0.1b	(+.f64 4/29 (*.f64 1/116 x))
✓	33.2b	(*.f64 1/116 x)
	30.0b	4/29

Compiler

Compiled 18 to 15 computations (16.7% saved)

regimes15.0ms (1%)

Counts

4 → 1

Calls

Call 1

Inputs
4/29
(*.f64 1/116 x)
(+.f64 4/29 (*.f64 1/116 x))
(/.f64 (+.f64 x 16) 116)

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

Calls

3 calls:

6.0ms	(+.f64 x 16)
4.0ms	x
3.0ms	(/.f64 (+.f64 x 16) 116)

Results

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

Compiler

Compiled 27 to 21 computations (22.2% 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)

regimes10.0ms (0.6%)

Accuracy

Total -60.0b remaining (-3809.2%)

Threshold costs -60.0b (-3809.2%)

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:

9.0ms

Results

Error	Segments	Branch
1.6b	3	`x`

Compiler

Compiled 7 to 5 computations (28.6% saved)

bsearch25.0ms (1.6%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
11.0ms	0.08169840873935534	90.57974338208656
14.0ms	-2482715173.869534	-12.222740007392035

Results

22.0ms

272×

body

256

valid

Compiler

Compiled 146 to 127 computations (13% saved)

simplify7.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

4×	`+-commutative`
2×	`if-if-or-not`
2×	`*-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	60
1	27	60

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%)

end27.0ms (1.8%)

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

Details

analyze3.0ms (0.2%)

sample1.0s (67.7%)

preprocess14.0ms (0.9%)

simplify13.0ms (0.8%)

eval0.0ms (0%)

prune1.0ms (0%)

localize4.0ms (0.3%)

series1.0ms (0.1%)

rewrite51.0ms (3.3%)

simplify52.0ms (3.4%)

eval6.0ms (0.4%)

prune6.0ms (0.4%)

localize2.0ms (0.2%)

series1.0ms (0.1%)

rewrite45.0ms (2.9%)

simplify60.0ms (3.9%)

localize5.0ms (0.3%)

series0.0ms (0%)

rewrite52.0ms (3.4%)

simplify64.0ms (4.2%)

eval18.0ms (1.1%)

prune10.0ms (0.6%)

eval0.0ms (0%)

prune2.0ms (0.1%)

eval0.0ms (0%)

prune2.0ms (0.1%)

regimes15.0ms (1%)

regimes4.0ms (0.3%)

regimes10.0ms (0.6%)

bsearch25.0ms (1.6%)

simplify7.0ms (0.5%)

soundness0.0ms (0%)

end27.0ms (1.8%)

Profiling