Details

analyze34.0ms (1.7%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
50%	50%	0.1%	3
50%	50%	0.1%	4
74.9%	25%	0.1%	5
74.9%	25%	0.1%	6
87.4%	12.5%	0.1%	7
87.4%	12.5%	0.1%	8
93.7%	6.2%	0.1%	9
93.7%	6.2%	0.1%	10
96.8%	3.1%	0.1%	11
96.8%	3.1%	0.1%	12
98.3%	1.6%	0.1%	13
98.3%	1.6%	0.1%	14

Compiler

Compiled 9 to 7 computations (22.2% saved)

sample770.0ms (38.9%)

Results

742.0ms

8256×

body

128

valid

Compiler

Compiled 26 to 20 computations (23.1% saved)

simplify6.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

2×	`associate-/r*_binary64`
1×	`*-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	9
1	10	9
2	12	9

Stop Event

1×

saturated

Counts

1 → 1

prune3.0ms (0.2%)

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

14.8b

Counts

2 → 1

Alt Table

Status	Error	Program
▶	14.8b	(cbrt.f64 (/.f64 g (*.f64 2 a)))

Compiler

Compiled 24 to 18 computations (25% saved)

localize4.0ms (0.2%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	14.5b	(cbrt.f64 (/.f64 g (*.f64 2 a)))

series28.0ms (1.4%)

Counts

1 → 0

Calls

1 calls:

27.0ms

(cbrt.f64 (/.f64 g (*.f64 2 a)))

rewrite39.0ms (2%)

Algorithm

1×	batch-egg-rewrite

Rules

695×	`log1p-expm1-u_binary64`
695×	`expm1-log1p-u_binary64`
129×	`expm1-udef_binary64`
129×	`log1p-udef_binary64`
115×	`log-pow_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	9
1	146	9
2	1871	9

Stop Event

1×	node limit

Counts

1 → 30

Calls

1 calls:

39.0ms

(cbrt.f64 (/.f64 g (*.f64 2 a)))

simplify6.0ms (0.3%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	0	0

Stop Event

1×

saturated

Counts

30 → 30

prune24.0ms (1.2%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	23	7	30
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	23	8	31

Error

0.2b

Counts

31 → 8

Alt Table

Status	Error	Program
	14.8b	(.f64 (cbrt.f64 (.f64 g (/.f64 1/2 a))) 1)
✓	14.8b	(cbrt.f64 (/.f64 g (*.f64 2 a)))
▶	0.8b	(/.f64 (cbrt.f64 (*.f64 g 1/2)) (cbrt.f64 a))
	0.9b	(/.f64 1 (/.f64 (cbrt.f64 (*.f64 2 a)) (cbrt.f64 g)))
	15.1b	(/.f64 1 (cbrt.f64 (*.f64 2 (/.f64 a g))))
	15.5b	(.f64 (cbrt.f64 (cbrt.f64 (.f64 g (/.f64 1/2 a)))) (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 g (/.f64 1/2 a)))) 2))
	0.9b	(.f64 (cbrt.f64 g) (/.f64 1 (cbrt.f64 (.f64 2 a))))
	0.8b	(*.f64 (cbrt.f64 g) (cbrt.f64 (/.f64 1/2 a)))

Compiler

Compiled 463 to 354 computations (23.5% saved)

localize5.0ms (0.3%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.4b	(/.f64 (cbrt.f64 (*.f64 g 1/2)) (cbrt.f64 a))
✓	0.6b	(cbrt.f64 (*.f64 g 1/2))
✓	0.6b	(cbrt.f64 a)

series52.0ms (2.6%)

Counts

3 → 0

Calls

3 calls:

28.0ms	(/.f64 (cbrt.f64 (*.f64 g 1/2)) (cbrt.f64 a))
13.0ms	(cbrt.f64 (*.f64 g 1/2))
10.0ms	(cbrt.f64 a)

rewrite43.0ms (2.2%)

Algorithm

1×	batch-egg-rewrite

Rules

758×	`log1p-expm1-u_binary64`
758×	`expm1-log1p-u_binary64`
139×	`log1p-udef_binary64`
80×	`egg-rr`
78×	`add-sqr-sqrt_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	18
1	163	18
2	2038	18

Stop Event

1×	node limit

Counts

3 → 80

Calls

3 calls:

42.0ms	(/.f64 (cbrt.f64 (*.f64 g 1/2)) (cbrt.f64 a))
42.0ms	(cbrt.f64 (*.f64 g 1/2))
42.0ms	(cbrt.f64 a)

simplify6.0ms (0.3%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	0	0

Stop Event

1×

saturated

Counts

80 → 80

prune57.0ms (2.9%)

Pruning

18 alts after pruning (16 fresh and 2 done)

	Pruned	Kept	Total
New	69	11	80
Fresh	1	5	6
Picked	0	1	1
Done	0	1	1
Total	70	18	88

Error

0.1b

Counts

88 → 18

Alt Table

Status	Error	Program
	14.8b	(.f64 (cbrt.f64 (.f64 g (/.f64 1/2 a))) 1)
	1.5b	(/.f64 (cbrt.f64 (*.f64 g 1/2)) (pow.f64 (cbrt.f64 (cbrt.f64 a)) 3))
	15.1b	(/.f64 1 (cbrt.f64 (*.f64 2 (/.f64 a g))))
	0.9b	(.f64 (cbrt.f64 g) (.f64 (cbrt.f64 1/2) (/.f64 1 (cbrt.f64 a))))
	0.9b	(.f64 (cbrt.f64 g) (/.f64 1 (cbrt.f64 (.f64 2 a))))
	32.1b	(/.f64 (exp.f64 (log.f64 (cbrt.f64 (*.f64 g 1/2)))) (cbrt.f64 a))
▶	0.8b	(*.f64 (cbrt.f64 g) (cbrt.f64 (/.f64 1/2 a)))
	1.5b	(/.f64 (.f64 (cbrt.f64 (cbrt.f64 (.f64 g 1/2))) (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 g 1/2))) 2)) (cbrt.f64 a))
	0.9b	(/.f64 (*.f64 (cbrt.f64 1/2) (cbrt.f64 g)) (cbrt.f64 a))
	36.6b	(/.f64 (cbrt.f64 (.f64 g 1/2)) (.f64 (pow.f64 (sqrt.f64 a) 1/3) (pow.f64 (sqrt.f64 a) 1/3)))
✓	14.8b	(cbrt.f64 (/.f64 g (*.f64 2 a)))
	36.6b	(.f64 (/.f64 1 (pow.f64 a 1/6)) (/.f64 (cbrt.f64 (.f64 g 1/2)) (pow.f64 a 1/6)))
	1.6b	(*.f64 (/.f64 (cbrt.f64 g) (pow.f64 (cbrt.f64 (cbrt.f64 a)) 2)) (/.f64 (cbrt.f64 1/2) (cbrt.f64 (cbrt.f64 a))))
	1.5b	(.f64 (/.f64 1 (pow.f64 (cbrt.f64 (cbrt.f64 a)) 2)) (/.f64 (cbrt.f64 (.f64 g 1/2)) (cbrt.f64 (cbrt.f64 a))))
	0.9b	(*.f64 (/.f64 (cbrt.f64 g) 1) (/.f64 (cbrt.f64 1/2) (cbrt.f64 a)))
✓	0.8b	(/.f64 (cbrt.f64 (*.f64 g 1/2)) (cbrt.f64 a))
	1.5b	(.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 g 1/2))) 2) (.f64 (cbrt.f64 (cbrt.f64 (.f64 g 1/2))) (/.f64 1 (cbrt.f64 a))))
	15.5b	(.f64 (cbrt.f64 (cbrt.f64 (.f64 g (/.f64 1/2 a)))) (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 g (/.f64 1/2 a)))) 2))

Compiler

Compiled 1365 to 1001 computations (26.7% saved)

localize5.0ms (0.3%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.3b	(*.f64 (cbrt.f64 g) (cbrt.f64 (/.f64 1/2 a)))
✓	0.6b	(cbrt.f64 (/.f64 1/2 a))
✓	0.6b	(cbrt.f64 g)

series54.0ms (2.7%)

Counts

3 → 0

Calls

3 calls:

30.0ms	(*.f64 (cbrt.f64 g) (cbrt.f64 (/.f64 1/2 a)))
14.0ms	(cbrt.f64 (/.f64 1/2 a))
9.0ms	(cbrt.f64 g)

rewrite40.0ms (2%)

Algorithm

1×	batch-egg-rewrite

Rules

687×	`log1p-expm1-u_binary64`
687×	`expm1-log1p-u_binary64`
138×	`expm1-udef_binary64`
138×	`log1p-udef_binary64`
127×	`log-pow_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	18
1	164	18
2	1927	18

Stop Event

1×	node limit

Counts

3 → 65

Calls

3 calls:

39.0ms	(*.f64 (cbrt.f64 g) (cbrt.f64 (/.f64 1/2 a)))
39.0ms	(cbrt.f64 (/.f64 1/2 a))
39.0ms	(cbrt.f64 g)

simplify6.0ms (0.3%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	0	0

Stop Event

1×

saturated

Counts

65 → 65

prune54.0ms (2.7%)

Pruning

17 alts after pruning (14 fresh and 3 done)

	Pruned	Kept	Total
New	59	6	65
Fresh	7	8	15
Picked	0	1	1
Done	0	2	2
Total	66	17	83

Error

0.0b

Counts

83 → 17

Alt Table

Status	Error	Program
▶	0.9b	(/.f64 (*.f64 (cbrt.f64 1/2) (cbrt.f64 g)) (cbrt.f64 a))
	0.9b	(.f64 (cbrt.f64 g) (.f64 (cbrt.f64 1/2) (cbrt.f64 (/.f64 1 a))))
	15.1b	(/.f64 1 (cbrt.f64 (*.f64 2 (/.f64 a g))))
	36.6b	(*.f64 (cbrt.f64 g) (pow.f64 (pow.f64 (/.f64 1/2 a) 1/6) 2))
✓	0.8b	(*.f64 (cbrt.f64 g) (cbrt.f64 (/.f64 1/2 a)))
	1.5b	(/.f64 (.f64 (cbrt.f64 (cbrt.f64 (.f64 g 1/2))) (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 g 1/2))) 2)) (cbrt.f64 a))
	0.9b	(*.f64 (cbrt.f64 g) (/.f64 1 (/.f64 (cbrt.f64 a) (cbrt.f64 1/2))))
	1.5b	(/.f64 (cbrt.f64 (*.f64 g 1/2)) (pow.f64 (cbrt.f64 (cbrt.f64 a)) 3))
	1.5b	(.f64 (cbrt.f64 g) (.f64 (cbrt.f64 (cbrt.f64 (/.f64 1/2 a))) (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 1/2 a))) 2)))
✓	14.8b	(cbrt.f64 (/.f64 g (*.f64 2 a)))
	1.5b	(.f64 (.f64 (cbrt.f64 (cbrt.f64 g)) (pow.f64 (cbrt.f64 (cbrt.f64 g)) 2)) (cbrt.f64 (/.f64 1/2 a)))
	1.6b	(*.f64 (/.f64 (cbrt.f64 g) (pow.f64 (cbrt.f64 (cbrt.f64 a)) 2)) (/.f64 (cbrt.f64 1/2) (cbrt.f64 (cbrt.f64 a))))
✓	0.8b	(/.f64 (cbrt.f64 (*.f64 g 1/2)) (cbrt.f64 a))
	36.2b	(*.f64 (cbrt.f64 g) (exp.f64 (log.f64 (cbrt.f64 (/.f64 1/2 a)))))
	1.5b	(.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 g 1/2))) 2) (.f64 (cbrt.f64 (cbrt.f64 (.f64 g 1/2))) (/.f64 1 (cbrt.f64 a))))
	15.5b	(.f64 (cbrt.f64 (cbrt.f64 (.f64 g (/.f64 1/2 a)))) (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 g (/.f64 1/2 a)))) 2))
	0.9b	(.f64 (cbrt.f64 g) (/.f64 1 (cbrt.f64 (.f64 2 a))))

Compiler

Compiled 1085 to 798 computations (26.5% saved)

localize7.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.4b	(/.f64 (*.f64 (cbrt.f64 1/2) (cbrt.f64 g)) (cbrt.f64 a))
✓	0.5b	(*.f64 (cbrt.f64 1/2) (cbrt.f64 g))
	0.6b	(cbrt.f64 g)
	0.6b	(cbrt.f64 a)

series48.0ms (2.4%)

Counts

2 → 0

Calls

2 calls:

32.0ms	(/.f64 (*.f64 (cbrt.f64 1/2) (cbrt.f64 g)) (cbrt.f64 a))
16.0ms	(*.f64 (cbrt.f64 1/2) (cbrt.f64 g))

rewrite43.0ms (2.2%)

Algorithm

1×	batch-egg-rewrite

Rules

827×	`log1p-expm1-u_binary64`
827×	`expm1-log1p-u_binary64`
86×	`add-sqr-sqrt_binary64`
82×	`add-cube-cbrt_binary64`
82×	`add-cbrt-cube_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	17
1	181	15
2	2249	15

Stop Event

1×	node limit

Counts

2 → 56

Calls

2 calls:

42.0ms	(/.f64 (*.f64 (cbrt.f64 1/2) (cbrt.f64 g)) (cbrt.f64 a))
42.0ms	(*.f64 (cbrt.f64 1/2) (cbrt.f64 g))

simplify6.0ms (0.3%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	0	0

Stop Event

1×

saturated

Counts

56 → 56

prune62.0ms (3.1%)

Pruning

19 alts after pruning (16 fresh and 3 done)

	Pruned	Kept	Total
New	93	5	98
Fresh	2	11	13
Picked	1	0	1
Done	0	3	3
Total	96	19	115

Error

0.0b

Counts

115 → 19

Alt Table

Status	Error	Program
	15.2b	(*.f64 (cbrt.f64 1/2) (/.f64 1 (cbrt.f64 (/.f64 a g))))
	0.9b	(.f64 (cbrt.f64 g) (.f64 (cbrt.f64 1/2) (cbrt.f64 (/.f64 1 a))))
	4.4b	(/.f64 (.f64 (cbrt.f64 1/2) (cbrt.f64 g)) (.f64 (pow.f64 (pow.f64 (cbrt.f64 a) 2) 1/3) (cbrt.f64 (cbrt.f64 a))))
	1.5b	(/.f64 (cbrt.f64 (*.f64 g 1/2)) (pow.f64 (cbrt.f64 (cbrt.f64 a)) 3))
	36.2b	(/.f64 (*.f64 (cbrt.f64 1/2) (cbrt.f64 g)) (exp.f64 (log.f64 (cbrt.f64 a))))
	1.5b	(.f64 (.f64 (cbrt.f64 (cbrt.f64 g)) (pow.f64 (cbrt.f64 (cbrt.f64 g)) 2)) (cbrt.f64 (/.f64 1/2 a)))
	0.9b	(.f64 (cbrt.f64 1/2) (.f64 (cbrt.f64 g) (/.f64 1 (cbrt.f64 a))))
	1.5b	(/.f64 (.f64 (cbrt.f64 (cbrt.f64 (.f64 g 1/2))) (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 g 1/2))) 2)) (cbrt.f64 a))
✓	0.8b	(*.f64 (cbrt.f64 g) (cbrt.f64 (/.f64 1/2 a)))
	0.9b	(*.f64 (cbrt.f64 g) (/.f64 1 (/.f64 (cbrt.f64 a) (cbrt.f64 1/2))))
	1.5b	(.f64 (cbrt.f64 g) (.f64 (cbrt.f64 (cbrt.f64 (/.f64 1/2 a))) (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 1/2 a))) 2)))
✓	14.8b	(cbrt.f64 (/.f64 g (*.f64 2 a)))
	1.6b	(*.f64 (/.f64 (cbrt.f64 g) (pow.f64 (cbrt.f64 (cbrt.f64 a)) 2)) (/.f64 (cbrt.f64 1/2) (cbrt.f64 (cbrt.f64 a))))
✓	0.8b	(/.f64 (cbrt.f64 (*.f64 g 1/2)) (cbrt.f64 a))
	36.2b	(*.f64 (cbrt.f64 g) (exp.f64 (log.f64 (cbrt.f64 (/.f64 1/2 a)))))
	15.1b	(/.f64 1 (cbrt.f64 (*.f64 2 (/.f64 a g))))
	30.5b	(.f64 (sqrt.f64 (cbrt.f64 (.f64 1/2 g))) (.f64 (sqrt.f64 (cbrt.f64 (.f64 1/2 g))) (/.f64 1 (cbrt.f64 a))))
	15.5b	(.f64 (cbrt.f64 (cbrt.f64 (.f64 g (/.f64 1/2 a)))) (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 g (/.f64 1/2 a)))) 2))
	0.9b	(.f64 (cbrt.f64 g) (/.f64 1 (cbrt.f64 (.f64 2 a))))

Compiler

Compiled 1375 to 946 computations (31.2% saved)

regimes337.0ms (17%)

Accuracy

Total 0.8b remaining (92.2%)

Threshold costs 0.8b (92.2%)

Counts

66 → 1

Compiler

Compiled 4396 to 3507 computations (20.2% saved)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

1×	`*-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	11
1	9	11

Stop Event

1×

saturated

end239.0ms (12.1%)

Compiler: Compiled 271 to 216 computations (20.3% saved)

Details

analyze34.0ms (1.7%)

sample770.0ms (38.9%)

simplify6.0ms (0.3%)

prune3.0ms (0.2%)

localize4.0ms (0.2%)

series28.0ms (1.4%)

rewrite39.0ms (2%)

simplify6.0ms (0.3%)

prune24.0ms (1.2%)

localize5.0ms (0.3%)

series52.0ms (2.6%)

rewrite43.0ms (2.2%)

simplify6.0ms (0.3%)

prune57.0ms (2.9%)

localize5.0ms (0.3%)

series54.0ms (2.7%)

rewrite40.0ms (2%)

simplify6.0ms (0.3%)

prune54.0ms (2.7%)

localize7.0ms (0.3%)

series48.0ms (2.4%)

rewrite43.0ms (2.2%)

simplify6.0ms (0.3%)

prune62.0ms (3.1%)

regimes337.0ms (17%)

simplify2.0ms (0.1%)

end239.0ms (12.1%)

Profiling