Details

analyze5.0ms (0.3%)

Algorithm

1×

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	1
0%	100%	0%	2
50%	50%	0%	3
75%	25%	0%	4
87.5%	12.5%	0%	5
93.7%	6.2%	0%	6
96.8%	3.1%	0%	7
98.4%	1.6%	0%	8
99.2%	0.8%	0%	9
99.6%	0.4%	0%	10
99.8%	0.2%	0%	11
99.9%	0.1%	0%	12

Compiler

Compiled 7 to 6 computations (14.3% saved)

sample863.0ms (56.3%)

Results

851.0ms

8256×

body

256

valid

preprocess17.0ms (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)

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)

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)

series2.0ms (0.1%)

Counts

1 → 12

Calls

3 calls:

Time	Variable		Point	Expression
1.0ms	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)

rewrite52.0ms (3.4%)

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)))))))

simplify7.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

2×	`fma-def_binary64`
1×	`+-commutative_binary64`
1×	`*-commutative_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	6	72
1	8	54
2	10	54

Stop Event

1×

saturated

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))

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)

eval6.0ms (0.4%)

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

prune6.0ms (0.4%)

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
▶	27.4b	(pow.f64 (pow.f64 (*.f64 (+.f64 x 16) 1/116) 3) 1/3)
	32.0b	4/29
✓	0.0b	(/.f64 (+.f64 x 16) 116)
▶	0.0b	(*.f64 (+.f64 x 16) 1/116)
▶	30.9b	(*.f64 1/116 x)

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	@	0	(*.f64 1/116 x)
0.0ms	x	@	inf	(*.f64 1/116 x)

rewrite42.0ms (2.8%)

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))))))

simplify7.0ms (0.4%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	0	0

Stop Event

1×

saturated

Counts

25 → 25

Calls

Call 1

Inputs

Outputs

localize5.0ms (0.3%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.0b	(*.f64 (+.f64 x 16) 1/116)

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	@	0	(*.f64 (+.f64 x 16) 1/116)
0.0ms	x	@	-inf	(*.f64 (+.f64 x 16) 1/116)
0.0ms	x	@	inf	(*.f64 (+.f64 x 16) 1/116)

rewrite47.0ms (3%)

Algorithm

1×	batch-egg-rewrite

Rules

643×	`pow1_binary64`
609×	`add-log-exp_binary64`
609×	`log1p-expm1-u_binary64`
609×	`expm1-log1p-u_binary64`
600×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	7
1	133	7
2	1593	7

Stop Event

1×	node limit

Counts

1 → 19

Calls

Call 1

Inputs
(*.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 (+.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 (pow.f64 (+.f64 (*.f64 x 1/116) 4/29) 3) 1/3)))) (#(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 (pow.f64 (+.f64 (*.f64 x 1/116) 4/29) 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)))))))

simplify9.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

2×	`fma-def_binary64`
1×	`+-commutative_binary64`
1×	`*-commutative_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	6	72
1	8	54
2	10	54

Stop Event

1×

saturated

Counts

31 → 22

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))

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)

localize15.0ms (1%)

Local error

Found 3 expressions with local error:

New	Error	Program
	0.0b	(*.f64 (+.f64 x 16) 1/116)
✓	0.1b	(pow.f64 (*.f64 (+.f64 x 16) 1/116) 3)
✓	18.9b	(pow.f64 (pow.f64 (*.f64 (+.f64 x 16) 1/116) 3) 1/3)

Compiler

Compiled 30 to 25 computations (16.7% saved)

series7.0ms (0.4%)

Counts

2 → 24

Calls

6 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)

rewrite65.0ms (4.3%)

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	17
1	233	17
2	2366	17

Stop Event

1×	node limit

Counts

2 → 56

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)

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))))))))

simplify57.0ms (3.7%)

Algorithm

1×	egg-herbie

Rules

733×	`cancel-sign-sub-inv_binary64`
401×	`div-sub_binary64`
397×	`fma-def_binary64`
288×	`associate-/r*_binary64`
286×	`associate-r_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	124	718
1	369	709
2	1141	672
3	5053	672

Stop Event

1×	node limit

Counts

80 → 92

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))))

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)))
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(fma.f64 4/24389 (.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 64/24389) 2))) x) (fma.f64 1/3 (fma.f64 (/.f64 (+.f64 1/1560896 (fma.f64 (.f64 -8/24389 (fma.f64 (cbrt.f64 (/.f64 1 (cbrt.f64 64/24389))) -48/594823321 3/97556)) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 64/24389) 5))) (/.f64 -64/14507145975869 (pow.f64 (cbrt.f64 64/24389) 2)))) (pow.f64 (cbrt.f64 64/24389) 2)) (pow.f64 x 3) (.f64 (.f64 x x) (/.f64 (fma.f64 (cbrt.f64 (/.f64 1 (cbrt.f64 64/24389))) -48/594823321 3/97556) (pow.f64 (cbrt.f64 64/24389) 2)))) (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 1/97556 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/1560896) 2))) (*.f64 x (cbrt.f64 1/1560896)))
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(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 (cbrt.f64 (/.f64 1 (cbrt.f64 1/1560896))) -3/9517173136)) (.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))))
(fma.f64 x (cbrt.f64 1/1560896) (fma.f64 1/97556 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/1560896) 2))) (/.f64 (+.f64 4/24389 (.f64 (cbrt.f64 (/.f64 1 (cbrt.f64 1/1560896))) -1/9517173136)) (.f64 x (pow.f64 (cbrt.f64 1/1560896) 2)))))
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(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 (-.f64 64/24389 (/.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 (cbrt.f64 (/.f64 1 (cbrt.f64 1/1560896))) -3/9517173136)) (.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 (cbrt.f64 (/.f64 1 (cbrt.f64 1/1560896))) -3/9517173136)) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/1560896) 5)))) (/.f64 1/928457342455616 (pow.f64 (cbrt.f64 1/1560896) 2)))) (.f64 x (.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 1/97556 (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 (.f64 -1/48778 (fma.f64 (cbrt.f64 (/.f64 1 (cbrt.f64 1/1560896))) -3/9517173136 12/24389)) (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 -1 (.f64 (cbrt.f64 -1/1560896) x))
(neg.f64 (*.f64 x (cbrt.f64 -1/1560896)))
(*.f64 (cbrt.f64 -1/1560896) (neg.f64 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)))
(fma.f64 -1 (.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 (cbrt.f64 -1/1560896) (neg.f64 x)))
(-.f64 (.f64 1/97556 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1/1560896) 2)))) (.f64 x (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 1/97556 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1/1560896) 2))) (.f64 1/3 (/.f64 (/.f64 (fma.f64 3/9517173136 (cbrt.f64 (/.f64 1 (cbrt.f64 -1/1560896))) 12/24389) x) (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 4/24389 (.f64 (cbrt.f64 (/.f64 1 (cbrt.f64 -1/1560896))) 1/9517173136)) (.f64 x (pow.f64 (cbrt.f64 -1/1560896) 2))) (*.f64 x (cbrt.f64 -1/1560896))))
(-.f64 (fma.f64 1/97556 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1/1560896) 2))) (/.f64 (+.f64 4/24389 (.f64 (cbrt.f64 (/.f64 1 (cbrt.f64 -1/1560896))) 1/9517173136)) (.f64 x (pow.f64 (cbrt.f64 -1/1560896) 2)))) (*.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 (-.f64 64/24389 (/.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 -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 1/928457342455616 (pow.f64 (cbrt.f64 -1/1560896) 2)))) (.f64 (.f64 x x) (pow.f64 (cbrt.f64 -1/1560896) 2))) (-.f64 (fma.f64 1/97556 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1/1560896) 2))) (.f64 1/3 (/.f64 (/.f64 (fma.f64 3/9517173136 (cbrt.f64 (/.f64 1 (cbrt.f64 -1/1560896))) 12/24389) x) (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 4/24389 (.f64 (cbrt.f64 (/.f64 1 (cbrt.f64 -1/1560896))) 1/9517173136)) (.f64 x (pow.f64 (cbrt.f64 -1/1560896) 2))) (.f64 x (cbrt.f64 -1/1560896)))))
(-.f64 (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 4/24389 (.f64 (cbrt.f64 (/.f64 1 (cbrt.f64 -1/1560896))) 1/9517173136)) (.f64 x (pow.f64 (cbrt.f64 -1/1560896) 2))))) (.f64 x (cbrt.f64 -1/1560896)))
64/24389
(+.f64 64/24389 (*.f64 12/24389 x))
(+.f64 64/24389 (*.f64 x 12/24389))
(fma.f64 x 12/24389 64/24389)
(+.f64 64/24389 (+.f64 (.f64 3/97556 (pow.f64 x 2)) (.f64 12/24389 x)))
(+.f64 64/24389 (fma.f64 3/97556 (.f64 x x) (.f64 x 12/24389)))
(+.f64 (fma.f64 x 12/24389 64/24389) (.f64 x (.f64 x 3/97556)))
(fma.f64 x (*.f64 x 3/97556) (fma.f64 x 12/24389 64/24389))
(+.f64 64/24389 (+.f64 (.f64 1/1560896 (pow.f64 x 3)) (+.f64 (.f64 3/97556 (pow.f64 x 2)) (*.f64 12/24389 x))))
(+.f64 64/24389 (fma.f64 1/1560896 (pow.f64 x 3) (fma.f64 3/97556 (.f64 x x) (.f64 x 12/24389))))
(+.f64 64/24389 (fma.f64 3/97556 (.f64 x x) (fma.f64 x 12/24389 (.f64 1/1560896 (pow.f64 x 3)))))
(fma.f64 1/1560896 (pow.f64 x 3) (fma.f64 x (*.f64 x 3/97556) (fma.f64 x 12/24389 64/24389)))
(*.f64 1/1560896 (pow.f64 x 3))
(+.f64 (.f64 3/97556 (pow.f64 x 2)) (.f64 1/1560896 (pow.f64 x 3)))
(fma.f64 3/97556 (.f64 x x) (.f64 1/1560896 (pow.f64 x 3)))
(.f64 (.f64 x x) (+.f64 (*.f64 x 1/1560896) 3/97556))
(+.f64 (.f64 3/97556 (pow.f64 x 2)) (+.f64 (.f64 1/1560896 (pow.f64 x 3)) (*.f64 12/24389 x)))
(fma.f64 1/1560896 (pow.f64 x 3) (fma.f64 3/97556 (.f64 x x) (.f64 x 12/24389)))
(fma.f64 3/97556 (.f64 x x) (fma.f64 x 12/24389 (.f64 1/1560896 (pow.f64 x 3))))
(fma.f64 x 12/24389 (.f64 (.f64 x x) (+.f64 (*.f64 x 1/1560896) 3/97556)))
(+.f64 64/24389 (+.f64 (.f64 3/97556 (pow.f64 x 2)) (+.f64 (.f64 1/1560896 (pow.f64 x 3)) (*.f64 12/24389 x))))
(+.f64 64/24389 (fma.f64 1/1560896 (pow.f64 x 3) (fma.f64 3/97556 (.f64 x x) (.f64 x 12/24389))))
(+.f64 64/24389 (fma.f64 3/97556 (.f64 x x) (fma.f64 x 12/24389 (.f64 1/1560896 (pow.f64 x 3)))))
(fma.f64 1/1560896 (pow.f64 x 3) (fma.f64 x (*.f64 x 3/97556) (fma.f64 x 12/24389 64/24389)))
(*.f64 1/1560896 (pow.f64 x 3))
(+.f64 (.f64 3/97556 (pow.f64 x 2)) (.f64 1/1560896 (pow.f64 x 3)))
(fma.f64 3/97556 (.f64 x x) (.f64 1/1560896 (pow.f64 x 3)))
(.f64 (.f64 x x) (+.f64 (*.f64 x 1/1560896) 3/97556))
(+.f64 (.f64 3/97556 (pow.f64 x 2)) (+.f64 (.f64 1/1560896 (pow.f64 x 3)) (*.f64 12/24389 x)))
(fma.f64 1/1560896 (pow.f64 x 3) (fma.f64 3/97556 (.f64 x x) (.f64 x 12/24389)))
(fma.f64 3/97556 (.f64 x x) (fma.f64 x 12/24389 (.f64 1/1560896 (pow.f64 x 3))))
(fma.f64 x 12/24389 (.f64 (.f64 x x) (+.f64 (*.f64 x 1/1560896) 3/97556)))
(+.f64 64/24389 (+.f64 (.f64 3/97556 (pow.f64 x 2)) (+.f64 (.f64 1/1560896 (pow.f64 x 3)) (*.f64 12/24389 x))))
(+.f64 64/24389 (fma.f64 1/1560896 (pow.f64 x 3) (fma.f64 3/97556 (.f64 x x) (.f64 x 12/24389))))
(+.f64 64/24389 (fma.f64 3/97556 (.f64 x x) (fma.f64 x 12/24389 (.f64 1/1560896 (pow.f64 x 3)))))
(fma.f64 1/1560896 (pow.f64 x 3) (fma.f64 x (*.f64 x 3/97556) (fma.f64 x 12/24389 64/24389)))

eval59.0ms (3.9%)

Compiler: Compiled 2222 to 1949 computations (12.3% saved)

prune22.0ms (1.4%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	159	2	161
Fresh	1	0	1
Picked	1	0	1
Done	0	3	3
Total	161	5	166

Error

Counts

166 → 5

Alt Table

Click to see full alt table

Status	Error	Program
	32.0b	4/29
✓	0.0b	(/.f64 (+.f64 x 16) 116)
▶	32.5b	(cbrt.f64 64/24389)
✓	0.0b	(*.f64 (+.f64 x 16) 1/116)
✓	30.9b	(*.f64 1/116 x)

Compiler

Compiled 21 to 18 computations (14.3% saved)

localize4.0ms (0.2%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	1.0b	(cbrt.f64 64/24389)

Compiler

Compiled 4 to 4 computations (0% saved)

series0.0ms (0%)

Counts: 1 → 0

rewrite82.0ms (5.4%)

Algorithm

1×	batch-egg-rewrite

Rules

569×	`fma-def_binary64`
367×	`expm1-udef_binary64`
366×	`log1p-udef_binary64`
312×	`fma-neg_binary64`
228×	`add-sqr-sqrt_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	3	3
1	59	3
2	596	3
3	5921	3

Stop Event

1×	node limit

Counts

1 → 45

Calls

Call 1

Inputs
(cbrt.f64 64/24389)

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (cbrt.f64 64/24389) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (cbrt.f64 64/24389))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 64/24389)))) (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 64/24389)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (cbrt.f64 64/24389))) 2)) (log.f64 (cbrt.f64 (exp.f64 (cbrt.f64 64/24389)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (cbrt.f64 64/24389) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 64/24389) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (cbrt.f64 64/24389))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 64/24389)) (cbrt.f64 (cbrt.f64 4096/594823321)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 4096/594823321)) (cbrt.f64 (cbrt.f64 64/24389)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 64/24389 1/6) (pow.f64 64/24389 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 4096/594823321))) (*.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 64/24389))) (cbrt.f64 (cbrt.f64 4096/594823321))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 16777216/353814783205469041))) (*.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 4096/594823321))) (cbrt.f64 (cbrt.f64 64/24389))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 64/24389) 1/6) (*.f64 (pow.f64 (cbrt.f64 64/24389) 1/6) (cbrt.f64 (cbrt.f64 4096/594823321))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 64/24389 1/12) (pow.f64 64/24389 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 64/24389 1/12) (*.f64 (pow.f64 64/24389 1/12) (pow.f64 64/24389 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 64/24389 1/4) (pow.f64 64/24389 1/12))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 64/24389)) 5)) (pow.f64 (cbrt.f64 64/24389) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 64/24389 1/6) (cbrt.f64 (cbrt.f64 64/24389))) (pow.f64 (cbrt.f64 64/24389) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (cbrt.f64 64/24389)) (cbrt.f64 (cbrt.f64 (cbrt.f64 16777216/353814783205469041)))) (cbrt.f64 (cbrt.f64 (cbrt.f64 4096/594823321))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (cbrt.f64 4096/594823321)) (cbrt.f64 (cbrt.f64 (cbrt.f64 4096/594823321)))) (cbrt.f64 (cbrt.f64 (cbrt.f64 64/24389))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (cbrt.f64 4096/594823321)) (pow.f64 (cbrt.f64 64/24389) 1/6)) (pow.f64 (cbrt.f64 64/24389) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (+.f64 (cbrt.f64 64/24389) 1) 3) 1) (fma.f64 (+.f64 (cbrt.f64 64/24389) 1) (+.f64 (cbrt.f64 64/24389) 1) (+.f64 1 (+.f64 (cbrt.f64 64/24389) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 (+.f64 (cbrt.f64 64/24389) 1) (+.f64 (cbrt.f64 64/24389) 1) -1) (+.f64 (+.f64 (cbrt.f64 64/24389) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 64/24389 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 64/24389) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 4096/594823321 1/6)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 4096/594823321) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cbrt.f64 64/24389)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 64/24389 1/6) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1/3) (log.f64 64/24389))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (E.f64) (log.f64 (cbrt.f64 64/24389)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (cbrt.f64 64/24389)))) (sqrt.f64 (log.f64 (cbrt.f64 64/24389))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (cbrt.f64 64/24389))) 2)) (cbrt.f64 (log.f64 (cbrt.f64 64/24389))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (cbrt.f64 4096/594823321))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (cbrt.f64 64/24389))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cbrt.f64 64/24389)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cbrt.f64 64/24389)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cbrt.f64 64/24389)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (cbrt.f64 64/24389)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (cbrt.f64 64/24389))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 1/6 (log.f64 64/24389)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (+.f64 (cbrt.f64 64/24389) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (cbrt.f64 64/24389) 1) 1 -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (cbrt.f64 (+.f64 (cbrt.f64 64/24389) 1)) (cbrt.f64 (+.f64 (cbrt.f64 64/24389) 1))) (cbrt.f64 (+.f64 (cbrt.f64 64/24389) 1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (hypot.f64 1 (pow.f64 64/24389 1/6)) (hypot.f64 1 (pow.f64 64/24389 1/6)) -1)))))

simplify7.0ms (0.5%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	0	0

Stop Event

1×

saturated

Counts

45 → 45

Calls

Call 1

Inputs

Outputs

eval14.0ms (0.9%)

Compiler: Compiled 373 to 373 computations (0% saved)

prune7.0ms (0.4%)

Pruning

5 alts after pruning (1 fresh and 4 done)

	Pruned	Kept	Total
New	45	0	45
Fresh	0	1	1
Picked	0	1	1
Done	0	3	3
Total	45	5	50

Error

Counts

50 → 5

Alt Table

Click to see full alt table

Status	Error	Program
	32.0b	4/29
✓	0.0b	(/.f64 (+.f64 x 16) 116)
✓	32.5b	(cbrt.f64 64/24389)
✓	0.0b	(*.f64 (+.f64 x 16) 1/116)
✓	30.9b	(*.f64 1/116 x)

Compiler

Compiled 21 to 18 computations (14.3% 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
	32.0b	4/29
✓	0.0b	(/.f64 (+.f64 x 16) 116)
✓	32.5b	(cbrt.f64 64/24389)
✓	0.0b	(*.f64 (+.f64 x 16) 1/116)
✓	30.9b	(*.f64 1/116 x)

Compiler

Compiled 21 to 18 computations (14.3% saved)

regimes16.0ms (1%)

Counts

7 → 1

Calls

Call 1

Inputs
4/29
4/29
(*.f64 1/116 x)
(*.f64 (+.f64 x 16) 1/116)
(/.f64 (+.f64 x 16) 116)
(cbrt.f64 64/24389)
(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
4.0ms	(/.f64 (+.f64 x 16) 116)
4.0ms	(+.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 39 to 32 computations (17.9% saved)

regimes8.0ms (0.5%)

Counts

4 → 1

Calls

Call 1

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

Outputs
(*.f64 (+.f64 x 16) 1/116)

Calls

2 calls:

4.0ms	x
3.0ms	(+.f64 x 16)

Results

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

Compiler

Compiled 17 to 13 computations (23.5% saved)

regimes14.0ms (0.9%)

Counts

3 → 3

Calls

Call 1

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

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

Calls

1 calls:

13.0ms

Results

Error	Segments	Branch
1.1b	3	`x`

Compiler

Compiled 8 to 6 computations (25% saved)

bsearch29.0ms (1.9%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
15.0ms	4.332061406564082e-17	643402.3745248648
14.0ms	-11723349.367447615	-1.027568854873879

Compiler

Compiled 10 to 8 computations (20% saved)

regimes4.0ms (0.3%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0.0b (-0%)

Counts

2 → 1

Calls

Call 1

Inputs
4/29
4/29

Outputs
4/29

Calls

1 calls:

3.0ms

Results

Error	Segments	Branch
32.0b	1	`x`

Compiler

Compiled 5 to 4 computations (20% saved)

simplify4.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	36
1	20	36

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(/.f64 (+.f64 x 16) 116)
(*.f64 (+.f64 x 16) 1/116)
(if (<=.f64 x -50351402132769792/4294967296) (.f64 1/116 x) (if (<=.f64 x 878646438761041/20282409603651670423947251286016) 4/29 (.f64 1/116 x)))
4/29

Outputs
(/.f64 (+.f64 x 16) 116)
(*.f64 (+.f64 x 16) 1/116)
(if (<=.f64 x -50351402132769792/4294967296) (.f64 1/116 x) (if (<=.f64 x 878646438761041/20282409603651670423947251286016) 4/29 (.f64 1/116 x)))
(if (<=.f64 x -49171291145283/4194304) (.f64 x 1/116) (if (<=.f64 x 878646438761041/20282409603651670423947251286016) 4/29 (.f64 x 1/116)))
4/29

Compiler

Compiled 30 to 24 computations (20% saved)

soundness0.0ms (0%)

end31.0ms (2%)

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

Details

analyze5.0ms (0.3%)

sample863.0ms (56.3%)

preprocess17.0ms (1.1%)

simplify6.0ms (0.4%)

eval0.0ms (0%)

prune1.0ms (0%)

localize5.0ms (0.3%)

series2.0ms (0.1%)

rewrite52.0ms (3.4%)

simplify7.0ms (0.5%)

eval6.0ms (0.4%)

prune6.0ms (0.4%)

localize3.0ms (0.2%)

series2.0ms (0.1%)

rewrite42.0ms (2.8%)

simplify7.0ms (0.4%)

localize5.0ms (0.3%)

series1.0ms (0.1%)

rewrite47.0ms (3%)

simplify9.0ms (0.6%)

localize15.0ms (1%)

series7.0ms (0.4%)

rewrite65.0ms (4.3%)

simplify57.0ms (3.7%)

eval59.0ms (3.9%)

prune22.0ms (1.4%)

localize4.0ms (0.2%)

series0.0ms (0%)

rewrite82.0ms (5.4%)

simplify7.0ms (0.5%)

eval14.0ms (0.9%)

prune7.0ms (0.4%)

eval0.0ms (0%)

prune2.0ms (0.1%)

regimes16.0ms (1%)

regimes8.0ms (0.5%)

regimes14.0ms (0.9%)

bsearch29.0ms (1.9%)

regimes4.0ms (0.3%)

simplify4.0ms (0.3%)

soundness0.0ms (0%)

end31.0ms (2%)

Profiling