Details

analyze38.0ms (2%)

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)

sample803.0ms (42.9%)

Results

774.0ms

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

prune2.0ms (0.1%)

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

14.1b

Counts

2 → 1

Alt Table

Status	Error	Program
▶	14.1b	(cbrt.f64 (/.f64 g (*.f64 2 a)))

Compiler

Compiled 24 to 18 computations (25% saved)

localize5.0ms (0.3%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	13.8b	(cbrt.f64 (/.f64 g (*.f64 2 a)))

series32.0ms (1.7%)

Counts

1 → 0

Calls

1 calls:

32.0ms

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

rewrite37.0ms (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:

37.0ms

(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

prune26.0ms (1.4%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	22	8	30
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	23	8	31

Error

0.2b

Counts

31 → 8

Alt Table

Status	Error	Program
	0.9b	(/.f64 (cbrt.f64 (*.f64 g 1/2)) (cbrt.f64 a))
	0.8b	(/.f64 1 (/.f64 (cbrt.f64 (*.f64 2 a)) (cbrt.f64 g)))
	14.1b	(.f64 (cbrt.f64 (.f64 g (/.f64 1/2 a))) 1)
	14.9b	(pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 g (/.f64 1/2 a)))) 3)
	0.8b	(.f64 (cbrt.f64 g) (/.f64 1 (cbrt.f64 (.f64 2 a))))
	13.7b	(/.f64 1 (cbrt.f64 (*.f64 2 (/.f64 a g))))
▶	0.8b	(*.f64 (cbrt.f64 g) (cbrt.f64 (/.f64 1/2 a)))
	0.8b	(/.f64 (cbrt.f64 g) (cbrt.f64 (*.f64 2 a)))

Compiler

Compiled 457 to 350 computations (23.4% 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)))
✓	0.5b	(cbrt.f64 g)
✓	0.6b	(cbrt.f64 (/.f64 1/2 a))

series62.0ms (3.3%)

Counts

3 → 0

Calls

3 calls:

35.0ms	(*.f64 (cbrt.f64 g) (cbrt.f64 (/.f64 1/2 a)))
16.0ms	(cbrt.f64 (/.f64 1/2 a))
11.0ms	(cbrt.f64 g)

rewrite40.0ms (2.2%)

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

65 → 65

prune43.0ms (2.3%)

Pruning

14 alts after pruning (13 fresh and 1 done)

	Pruned	Kept	Total
New	57	8	65
Fresh	2	5	7
Picked	0	1	1
Done	0	0	0
Total	59	14	73

Error

0.1b

Counts

73 → 14

Alt Table

Status	Error	Program
	0.8b	(.f64 (cbrt.f64 g) (/.f64 1 (cbrt.f64 (.f64 2 a))))
▶	0.8b	(.f64 (cbrt.f64 g) (.f64 (cbrt.f64 1/2) (cbrt.f64 (/.f64 1 a))))
✓	0.8b	(*.f64 (cbrt.f64 g) (cbrt.f64 (/.f64 1/2 a)))
	14.1b	(cbrt.f64 (*.f64 (/.f64 1/2 a) g))
	0.9b	(/.f64 (cbrt.f64 (*.f64 g 1/2)) (cbrt.f64 a))
	0.9b	(.f64 (cbrt.f64 g) (.f64 (cbrt.f64 1/2) (/.f64 1 (cbrt.f64 a))))
	13.7b	(/.f64 1 (cbrt.f64 (*.f64 2 (/.f64 a g))))
	38.8b	(pow.f64 (sqrt.f64 (cbrt.f64 (*.f64 (/.f64 1/2 a) g))) 2)
	14.9b	(pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 g (/.f64 1/2 a)))) 3)
	1.5b	(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 g)) 3) (cbrt.f64 (/.f64 1/2 a)))
	4.4b	(.f64 (.f64 (pow.f64 (pow.f64 (cbrt.f64 g) 2) 1/3) (cbrt.f64 (cbrt.f64 g))) (cbrt.f64 (/.f64 1/2 a)))
	1.5b	(.f64 (.f64 (cbrt.f64 (cbrt.f64 g)) (pow.f64 (cbrt.f64 (cbrt.f64 g)) 2)) (cbrt.f64 (/.f64 1/2 a)))
	1.5b	(*.f64 (cbrt.f64 g) (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 1/2 a))) 3))
	0.8b	(/.f64 (cbrt.f64 g) (cbrt.f64 (*.f64 2 a)))

Compiler

Compiled 972 to 705 computations (27.5% saved)

localize9.0ms (0.5%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.3b	(.f64 (cbrt.f64 g) (.f64 (cbrt.f64 1/2) (cbrt.f64 (/.f64 1 a))))
✓	0.5b	(*.f64 (cbrt.f64 1/2) (cbrt.f64 (/.f64 1 a)))
	0.5b	(cbrt.f64 g)
✓	0.6b	(cbrt.f64 (/.f64 1 a))

series67.0ms (3.6%)

Counts

3 → 0

Calls

3 calls:

37.0ms	(.f64 (cbrt.f64 g) (.f64 (cbrt.f64 1/2) (cbrt.f64 (/.f64 1 a))))
19.0ms	(*.f64 (cbrt.f64 1/2) (cbrt.f64 (/.f64 1 a)))
11.0ms	(cbrt.f64 (/.f64 1 a))

rewrite45.0ms (2.4%)

Algorithm

1×	batch-egg-rewrite

Rules

835×	`log1p-expm1-u_binary64`
835×	`expm1-log1p-u_binary64`
99×	`add-sqr-sqrt_binary64`
94×	`add-cbrt-cube_binary64`
92×	`add-cube-cbrt_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	29
1	215	21
2	2410	21

Stop Event

1×	node limit

Counts

3 → 58

Calls

3 calls:

44.0ms	(.f64 (cbrt.f64 g) (.f64 (cbrt.f64 1/2) (cbrt.f64 (/.f64 1 a))))
44.0ms	(*.f64 (cbrt.f64 1/2) (cbrt.f64 (/.f64 1 a)))
44.0ms	(cbrt.f64 (/.f64 1 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

58 → 58

prune51.0ms (2.7%)

Pruning

15 alts after pruning (13 fresh and 2 done)

	Pruned	Kept	Total
New	76	3	79
Fresh	2	10	12
Picked	0	1	1
Done	0	1	1
Total	78	15	93

Error

0.1b

Counts

93 → 15

Alt Table

Status	Error	Program
	0.8b	(.f64 (cbrt.f64 g) (/.f64 1 (cbrt.f64 (.f64 2 a))))
✓	0.8b	(.f64 (cbrt.f64 g) (.f64 (cbrt.f64 1/2) (cbrt.f64 (/.f64 1 a))))
✓	0.8b	(*.f64 (cbrt.f64 g) (cbrt.f64 (/.f64 1/2 a)))
	14.1b	(cbrt.f64 (*.f64 (/.f64 1/2 a) g))
	30.5b	(.f64 (cbrt.f64 g) (.f64 (cbrt.f64 1/2) (pow.f64 (cbrt.f64 (pow.f64 a -1/2)) 2)))
	0.9b	(/.f64 (cbrt.f64 (*.f64 g 1/2)) (cbrt.f64 a))
	14.3b	(cbrt.f64 (pow.f64 (cbrt.f64 (*.f64 g (/.f64 1/2 a))) 3))
	13.7b	(/.f64 1 (cbrt.f64 (*.f64 2 (/.f64 a g))))
	38.8b	(pow.f64 (sqrt.f64 (cbrt.f64 (*.f64 (/.f64 1/2 a) g))) 2)
	1.5b	(.f64 (cbrt.f64 g) (.f64 (cbrt.f64 1/2) (pow.f64 (/.f64 1 (cbrt.f64 (cbrt.f64 a))) 3)))
	14.9b	(pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 g (/.f64 1/2 a)))) 3)
	1.5b	(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 g)) 3) (cbrt.f64 (/.f64 1/2 a)))
	1.5b	(.f64 (.f64 (cbrt.f64 (cbrt.f64 g)) (pow.f64 (cbrt.f64 (cbrt.f64 g)) 2)) (cbrt.f64 (/.f64 1/2 a)))
	1.5b	(*.f64 (cbrt.f64 g) (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 1/2 a))) 3))
▶	0.8b	(/.f64 (cbrt.f64 g) (cbrt.f64 (*.f64 2 a)))

Compiler

Compiled 1227 to 903 computations (26.4% saved)

localize5.0ms (0.3%)

Local error

Found 3 expressions with local error:

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

series50.0ms (2.7%)

Counts

2 → 0

Calls

2 calls:

35.0ms	(/.f64 (cbrt.f64 g) (cbrt.f64 (*.f64 2 a)))
16.0ms	(cbrt.f64 (*.f64 2 a))

rewrite41.0ms (2.2%)

Algorithm

1×	batch-egg-rewrite

Rules

753×	`log1p-expm1-u_binary64`
753×	`expm1-log1p-u_binary64`
139×	`log1p-udef_binary64`
78×	`add-sqr-sqrt_binary64`
74×	`add-cube-cbrt_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	15
1	163	15
2	2032	15

Stop Event

1×	node limit

Counts

2 → 58

Calls

2 calls:

40.0ms	(/.f64 (cbrt.f64 g) (cbrt.f64 (*.f64 2 a)))
40.0ms	(cbrt.f64 (*.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

58 → 58

prune53.0ms (2.8%)

Pruning

15 alts after pruning (12 fresh and 3 done)

	Pruned	Kept	Total
New	73	6	79
Fresh	6	6	12
Picked	0	1	1
Done	0	2	2
Total	79	15	94

Error

0.0b

Counts

94 → 15

Alt Table

Status	Error	Program
	14.3b	(cbrt.f64 (pow.f64 (cbrt.f64 (*.f64 g (/.f64 1/2 a))) 3))
	1.6b	(*.f64 (/.f64 (pow.f64 (cbrt.f64 (cbrt.f64 g)) 2) (cbrt.f64 2)) (/.f64 (cbrt.f64 (cbrt.f64 g)) (cbrt.f64 a)))
✓	0.8b	(.f64 (cbrt.f64 g) (.f64 (cbrt.f64 1/2) (cbrt.f64 (/.f64 1 a))))
	1.2b	(*.f64 (/.f64 1 (cbrt.f64 2)) (/.f64 (cbrt.f64 g) (cbrt.f64 a)))
✓	0.8b	(*.f64 (cbrt.f64 g) (cbrt.f64 (/.f64 1/2 a)))
	14.1b	(cbrt.f64 (*.f64 (/.f64 1/2 a) g))
	1.4b	(/.f64 (cbrt.f64 g) (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 2 a))) 3))
	38.8b	(pow.f64 (sqrt.f64 (cbrt.f64 (*.f64 (/.f64 1/2 a) g))) 2)
	1.2b	(/.f64 (cbrt.f64 g) (*.f64 (cbrt.f64 2) (cbrt.f64 a)))
	0.9b	(/.f64 (cbrt.f64 (*.f64 g 1/2)) (cbrt.f64 a))
	1.5b	(.f64 (/.f64 (pow.f64 (cbrt.f64 (cbrt.f64 g)) 2) 1) (/.f64 (cbrt.f64 (cbrt.f64 g)) (cbrt.f64 (.f64 2 a))))
	13.7b	(/.f64 1 (cbrt.f64 (*.f64 2 (/.f64 a g))))
	1.5b	(.f64 (cbrt.f64 g) (.f64 (cbrt.f64 1/2) (pow.f64 (/.f64 1 (cbrt.f64 (cbrt.f64 a))) 3)))
	1.4b	(/.f64 (pow.f64 (cbrt.f64 (cbrt.f64 g)) 3) (cbrt.f64 (*.f64 2 a)))
✓	0.8b	(/.f64 (cbrt.f64 g) (cbrt.f64 (*.f64 2 a)))

Compiler

Compiled 1067 to 743 computations (30.4% saved)

regimes259.0ms (13.9%)

Accuracy

Total 0.8b remaining (92.1%)

Threshold costs 0.8b (92.1%)

Counts

49 → 1

Compiler

Compiled 3168 to 2540 computations (19.8% saved)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

2×	`*-commutative_binary64`
1×	`1-exp_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	16
1	15	16

Stop Event

1×

saturated

end165.0ms (8.8%)

Compiler: Compiled 199 to 159 computations (20.1% saved)

Details

analyze38.0ms (2%)

sample803.0ms (42.9%)

simplify6.0ms (0.3%)

prune2.0ms (0.1%)

localize5.0ms (0.3%)

series32.0ms (1.7%)

rewrite37.0ms (2%)

simplify6.0ms (0.3%)

prune26.0ms (1.4%)

localize5.0ms (0.3%)

series62.0ms (3.3%)

rewrite40.0ms (2.2%)

simplify6.0ms (0.3%)

prune43.0ms (2.3%)

localize9.0ms (0.5%)

series67.0ms (3.6%)

rewrite45.0ms (2.4%)

simplify6.0ms (0.3%)

prune51.0ms (2.7%)

localize5.0ms (0.3%)

series50.0ms (2.7%)

rewrite41.0ms (2.2%)

simplify6.0ms (0.3%)

prune53.0ms (2.8%)

regimes259.0ms (13.9%)

simplify2.0ms (0.1%)

end165.0ms (8.8%)

Profiling