Details

analyze34.0ms (1.8%)

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)

sample763.0ms (40.6%)

Results

750.0ms

8256×

body

128

valid

Compiler

Compiled 18 to 14 computations (22.2% saved)

preprocess14.0ms (0.8%)

Algorithm

2×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	18
1	16	18
2	20	18
0	2	2

Stop Event

1×	saturated
1×	saturated

Compiler

Compiled 8 to 6 computations (25% saved)

simplify8.0ms (0.4%)

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

prune1.0ms (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

13.4b

Counts

2 → 1

Alt Table

Status	Error	Program
▶	13.4b	(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
✓	13.1b	(cbrt.f64 (/.f64 g (*.f64 2 a)))

series32.0ms (1.7%)

Counts

1 → 0

Calls

6 calls:

11.0ms	(cbrt.f64 (/.f64 g (*.f64 2 a)))	a	-inf
9.0ms	(cbrt.f64 (/.f64 g (*.f64 2 a)))	g	-inf
3.0ms	(cbrt.f64 (/.f64 g (*.f64 2 a)))	g	0
3.0ms	(cbrt.f64 (/.f64 g (*.f64 2 a)))	a	0
3.0ms	(cbrt.f64 (/.f64 g (*.f64 2 a)))	a	inf

rewrite43.0ms (2.3%)

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

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

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	22	8	30
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	22	9	31

Error

0.1b

Counts

31 → 9

Alt Table

Status	Error	Program
✓	13.4b	(cbrt.f64 (/.f64 g (*.f64 2 a)))
	0.9b	(/.f64 1 (/.f64 (cbrt.f64 (*.f64 2 a)) (cbrt.f64 g)))
▶	0.8b	(*.f64 (cbrt.f64 g) (cbrt.f64 (/.f64 1/2 a)))
	13.4b	(.f64 (cbrt.f64 (.f64 g (/.f64 1/2 a))) 1)
	26.7b	(expm1.f64 (log1p.f64 (cbrt.f64 (*.f64 g (/.f64 1/2 a)))))
	0.8b	(/.f64 (cbrt.f64 (*.f64 g 1/2)) (cbrt.f64 a))
	13.8b	(/.f64 1 (cbrt.f64 (*.f64 2 (/.f64 a g))))
	14.1b	(.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 483 to 370 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 (/.f64 1/2 a))
✓	0.6b	(cbrt.f64 g)

series60.0ms (3.2%)

Counts

3 → 0

Calls

12 calls:

13.0ms	(*.f64 (cbrt.f64 g) (cbrt.f64 (/.f64 1/2 a)))	g	-inf
9.0ms	(*.f64 (cbrt.f64 g) (cbrt.f64 (/.f64 1/2 a)))	a	-inf
9.0ms	(cbrt.f64 (/.f64 1/2 a))	a	-inf
8.0ms	(cbrt.f64 g)	g	-inf
4.0ms	(cbrt.f64 (/.f64 1/2 a))	a	0

rewrite39.0ms (2.1%)

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

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	58	7	65
Fresh	1	6	7
Picked	0	1	1
Done	1	0	1
Total	60	14	74

Error

0.1b

Counts

74 → 14

Alt Table

Status	Error	Program
	1.6b	(*.f64 (cbrt.f64 g) (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 1/2 a))) 3))
✓	0.8b	(*.f64 (cbrt.f64 g) (cbrt.f64 (/.f64 1/2 a)))
	1.4b	(.f64 (.f64 (cbrt.f64 (cbrt.f64 g)) (pow.f64 (cbrt.f64 (cbrt.f64 g)) 2)) (cbrt.f64 (/.f64 1/2 a)))
▶	0.8b	(/.f64 (cbrt.f64 (*.f64 g 1/2)) (cbrt.f64 a))
	37.9b	(pow.f64 (sqrt.f64 (cbrt.f64 (/.f64 g (*.f64 a 2)))) 2)
	13.8b	(/.f64 1 (cbrt.f64 (*.f64 2 (/.f64 a g))))
	13.4b	(.f64 (cbrt.f64 (.f64 g (/.f64 1/2 a))) 1)
	0.9b	(*.f64 (cbrt.f64 g) (/.f64 1 (/.f64 (cbrt.f64 a) (cbrt.f64 1/2))))
	0.8b	(.f64 (cbrt.f64 g) (.f64 (cbrt.f64 1/2) (cbrt.f64 (/.f64 1 a))))
	26.7b	(expm1.f64 (log1p.f64 (cbrt.f64 (*.f64 g (/.f64 1/2 a)))))
	1.4b	(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 g)) 3) (cbrt.f64 (/.f64 1/2 a)))
	0.9b	(/.f64 1 (/.f64 (cbrt.f64 (*.f64 2 a)) (cbrt.f64 g)))
	14.1b	(.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 (*.f64 (cbrt.f64 1/2) (cbrt.f64 g)) (cbrt.f64 a))

Compiler

Compiled 980 to 713 computations (27.2% saved)

localize5.0ms (0.3%)

Local error

Found 3 expressions with local error:

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

series58.0ms (3.1%)

Counts

3 → 0

Calls

12 calls:

12.0ms	(/.f64 (cbrt.f64 (*.f64 g 1/2)) (cbrt.f64 a))	a	-inf
10.0ms	(cbrt.f64 (*.f64 g 1/2))	g	-inf
9.0ms	(/.f64 (cbrt.f64 (*.f64 g 1/2)) (cbrt.f64 a))	g	-inf
8.0ms	(cbrt.f64 a)	a	-inf
3.0ms	(/.f64 (cbrt.f64 (*.f64 g 1/2)) (cbrt.f64 a))	g	0

rewrite42.0ms (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

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

prune54.0ms (2.9%)

Pruning

15 alts after pruning (13 fresh and 2 done)

	Pruned	Kept	Total
New	76	4	80
Fresh	3	9	12
Picked	0	1	1
Done	0	1	1
Total	79	15	94

Error

0.0b

Counts

94 → 15

Alt Table

Status	Error	Program
	1.6b	(*.f64 (cbrt.f64 g) (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 1/2 a))) 3))
✓	0.8b	(*.f64 (cbrt.f64 g) (cbrt.f64 (/.f64 1/2 a)))
	0.9b	(.f64 (/.f64 1 (cbrt.f64 a)) (cbrt.f64 (.f64 g 1/2)))
	13.4b	(.f64 (cbrt.f64 (.f64 g (/.f64 1/2 a))) 1)
	0.9b	(*.f64 (cbrt.f64 g) (/.f64 1 (/.f64 (cbrt.f64 a) (cbrt.f64 1/2))))
	1.6b	(.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))))
	29.2b	(/.f64 (cbrt.f64 (.f64 g 1/2)) (.f64 (cbrt.f64 (cbrt.f64 a)) (cbrt.f64 (cbrt.f64 (*.f64 a a)))))
✓	0.8b	(/.f64 (cbrt.f64 (*.f64 g 1/2)) (cbrt.f64 a))
	37.9b	(pow.f64 (sqrt.f64 (cbrt.f64 (/.f64 g (*.f64 a 2)))) 2)
	13.8b	(/.f64 1 (cbrt.f64 (*.f64 2 (/.f64 a g))))
▶	0.8b	(.f64 (cbrt.f64 g) (.f64 (cbrt.f64 1/2) (cbrt.f64 (/.f64 1 a))))
	26.7b	(expm1.f64 (log1p.f64 (cbrt.f64 (*.f64 g (/.f64 1/2 a)))))
	1.4b	(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 g)) 3) (cbrt.f64 (/.f64 1/2 a)))
	1.5b	(/.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 g 1/2))) 3) (cbrt.f64 a))
	0.9b	(/.f64 (*.f64 (cbrt.f64 1/2) (cbrt.f64 g)) (cbrt.f64 a))

Compiler

Compiled 1240 to 895 computations (27.8% saved)

localize7.0ms (0.4%)

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

series69.0ms (3.7%)

Counts

3 → 0

Calls

12 calls:

15.0ms	(.f64 (cbrt.f64 g) (.f64 (cbrt.f64 1/2) (cbrt.f64 (/.f64 1 a))))	g	-inf
14.0ms	(*.f64 (cbrt.f64 1/2) (cbrt.f64 (/.f64 1 a)))	a	-inf
12.0ms	(.f64 (cbrt.f64 g) (.f64 (cbrt.f64 1/2) (cbrt.f64 (/.f64 1 a))))	a	-inf
8.0ms	(cbrt.f64 (/.f64 1 a))	a	-inf
3.0ms	(*.f64 (cbrt.f64 1/2) (cbrt.f64 (/.f64 1 a)))	a	inf

rewrite47.0ms (2.5%)

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

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

prune44.0ms (2.3%)

Pruning

18 alts after pruning (15 fresh and 3 done)

	Pruned	Kept	Total
New	75	4	79
Fresh	1	11	12
Picked	0	1	1
Done	0	2	2
Total	76	18	94

Error

0.0b

Counts

94 → 18

Alt Table

Status	Error	Program
	1.6b	(*.f64 (cbrt.f64 g) (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 1/2 a))) 3))
✓	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))))
	1.6b	(.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))))
	1.4b	(.f64 (pow.f64 (cbrt.f64 (cbrt.f64 g)) 3) (.f64 (cbrt.f64 1/2) (cbrt.f64 (/.f64 1 a))))
✓	0.8b	(.f64 (cbrt.f64 g) (.f64 (cbrt.f64 1/2) (cbrt.f64 (/.f64 1 a))))
	13.4b	(cbrt.f64 (*.f64 (/.f64 1/2 a) g))
	26.7b	(expm1.f64 (log1p.f64 (cbrt.f64 (*.f64 g (/.f64 1/2 a)))))
	13.6b	(cbrt.f64 (pow.f64 (cbrt.f64 (*.f64 g (/.f64 1/2 a))) 3))
	1.4b	(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 g)) 3) (cbrt.f64 (/.f64 1/2 a)))
	31.1b	(.f64 (cbrt.f64 g) (.f64 (cbrt.f64 1/2) (pow.f64 (cbrt.f64 (pow.f64 a -1/2)) 2)))
	29.2b	(/.f64 (cbrt.f64 (.f64 g 1/2)) (.f64 (cbrt.f64 (cbrt.f64 a)) (cbrt.f64 (cbrt.f64 (*.f64 a a)))))
✓	0.8b	(/.f64 (cbrt.f64 (*.f64 g 1/2)) (cbrt.f64 a))
	37.9b	(pow.f64 (sqrt.f64 (cbrt.f64 (/.f64 g (*.f64 a 2)))) 2)
	13.8b	(/.f64 1 (cbrt.f64 (*.f64 2 (/.f64 a g))))
	0.9b	(.f64 (/.f64 1 (cbrt.f64 a)) (cbrt.f64 (.f64 g 1/2)))
	1.5b	(/.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 g 1/2))) 3) (cbrt.f64 a))
	0.9b	(/.f64 (*.f64 (cbrt.f64 1/2) (cbrt.f64 g)) (cbrt.f64 a))

Compiler

Compiled 1122 to 821 computations (26.8% saved)

regimes257.0ms (13.7%)

Accuracy

Total 0.8b remaining (91.4%)

Threshold costs 0.8b (91.4%)

Counts

52 → 1

Compiler

Compiled 3206 to 2587 computations (19.3% 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

end198.0ms (10.5%)

Stop Event

1×

fuel

Compiler

Compiled 232 to 189 computations (18.5% saved)

Details

analyze34.0ms (1.8%)

sample763.0ms (40.6%)

preprocess14.0ms (0.8%)

simplify8.0ms (0.4%)

prune1.0ms (0.1%)

localize4.0ms (0.2%)

series32.0ms (1.7%)

rewrite43.0ms (2.3%)

simplify6.0ms (0.3%)

prune26.0ms (1.4%)

localize5.0ms (0.3%)

series60.0ms (3.2%)

rewrite39.0ms (2.1%)

simplify6.0ms (0.3%)

prune43.0ms (2.3%)

localize5.0ms (0.3%)

series58.0ms (3.1%)

rewrite42.0ms (2.2%)

simplify6.0ms (0.3%)

prune54.0ms (2.9%)

localize7.0ms (0.4%)

series69.0ms (3.7%)

rewrite47.0ms (2.5%)

simplify6.0ms (0.3%)

prune44.0ms (2.3%)

regimes257.0ms (13.7%)

simplify2.0ms (0.1%)

end198.0ms (10.5%)

Profiling