Details

analyze43.0ms (2.1%)

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)

sample758.0ms (38.1%)

Results

744.0ms

8256×

body

128

valid

Compiler

Compiled 18 to 14 computations (22.2% saved)

preprocess14.0ms (0.7%)

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)

simplify7.0ms (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

16.9b

Counts

2 → 1

Alt Table

Status	Error	Program
▶	16.9b	(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
✓	16.5b	(cbrt.f64 (/.f64 g (*.f64 2 a)))

series32.0ms (1.6%)

Counts

1 → 0

Calls

6 calls:

12.0ms	(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	inf
3.0ms	(cbrt.f64 (/.f64 g (*.f64 2 a)))	g	inf

rewrite36.0ms (1.8%)

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

prune28.0ms (1.4%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	21	9	30
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	22	9	31

Error

0.2b

Counts

31 → 9

Alt Table

Status	Error	Program
	19.5b	(.f64 (pow.f64 (pow.f64 (cbrt.f64 (.f64 g (/.f64 1/2 a))) 2) 1/3) (cbrt.f64 (cbrt.f64 (*.f64 g (/.f64 1/2 a)))))
	0.8b	(.f64 (cbrt.f64 g) (/.f64 1 (cbrt.f64 (.f64 2 a))))
	0.9b	(*.f64 (cbrt.f64 g) (cbrt.f64 (/.f64 1/2 a)))
	16.9b	(.f64 (cbrt.f64 (.f64 g (/.f64 1/2 a))) 1)
	17.5b	(pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 g (/.f64 1/2 a)))) 3)
▶	0.8b	(/.f64 (cbrt.f64 (*.f64 g 1/2)) (cbrt.f64 a))
	0.8b	(/.f64 (cbrt.f64 g) (cbrt.f64 (*.f64 2 a)))
	0.8b	(/.f64 1 (/.f64 (cbrt.f64 (*.f64 2 a)) (cbrt.f64 g)))
	16.6b	(/.f64 1 (cbrt.f64 (*.f64 2 (/.f64 a g))))

Compiler

Compiled 497 to 382 computations (23.1% 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))
✓	0.5b	(cbrt.f64 (*.f64 g 1/2))
✓	0.6b	(cbrt.f64 a)

series61.0ms (3.1%)

Counts

3 → 0

Calls

12 calls:

11.0ms	(/.f64 (cbrt.f64 (*.f64 g 1/2)) (cbrt.f64 a))	a	-inf
10.0ms	(cbrt.f64 a)	a	-inf
9.0ms	(/.f64 (cbrt.f64 (*.f64 g 1/2)) (cbrt.f64 a))	g	-inf
9.0ms	(cbrt.f64 (*.f64 g 1/2))	g	-inf
5.0ms	(/.f64 (cbrt.f64 (*.f64 g 1/2)) (cbrt.f64 a))	a	0

rewrite42.0ms (2.1%)

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

prune53.0ms (2.7%)

Pruning

16 alts after pruning (15 fresh and 1 done)

	Pruned	Kept	Total
New	73	7	80
Fresh	0	8	8
Picked	0	1	1
Done	0	0	0
Total	73	16	89

Error

0.1b

Counts

89 → 16

Alt Table

Status	Error	Program
	17.5b	(.f64 (/.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 g 1/2))) 2) (pow.f64 (cbrt.f64 (cbrt.f64 a)) 2)) (cbrt.f64 (cbrt.f64 (/.f64 g (/.f64 a 1/2)))))
	0.8b	(.f64 (cbrt.f64 g) (/.f64 1 (cbrt.f64 (.f64 2 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 (cbrt.f64 g) (cbrt.f64 (/.f64 1/2 a)))
	0.9b	(.f64 (cbrt.f64 g) (.f64 (cbrt.f64 1/2) (/.f64 1 (cbrt.f64 a))))
	16.9b	(.f64 (cbrt.f64 (.f64 g (/.f64 1/2 a))) 1)
	17.5b	(pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 g (/.f64 1/2 a)))) 3)
	1.5b	(/.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 g 1/2))) 3) (cbrt.f64 a))
	16.6b	(/.f64 1 (cbrt.f64 (*.f64 2 (/.f64 a g))))
	1.5b	(/.f64 (cbrt.f64 (*.f64 g 1/2)) (pow.f64 (cbrt.f64 (cbrt.f64 a)) 3))
	19.5b	(.f64 (pow.f64 (pow.f64 (cbrt.f64 (.f64 g (/.f64 1/2 a))) 2) 1/3) (cbrt.f64 (cbrt.f64 (*.f64 g (/.f64 1/2 a)))))
	1.5b	(*.f64 (/.f64 (cbrt.f64 g) (pow.f64 (cbrt.f64 (cbrt.f64 a)) 2)) (/.f64 (cbrt.f64 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))
▶	0.8b	(/.f64 (cbrt.f64 g) (cbrt.f64 (*.f64 2 a)))
	0.8b	(/.f64 1 (/.f64 (cbrt.f64 (*.f64 2 a)) (cbrt.f64 g)))

Compiler

Compiled 1309 to 957 computations (26.9% 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)))
✓	0.6b	(cbrt.f64 g)
✓	0.6b	(cbrt.f64 (*.f64 2 a))

series59.0ms (3%)

Counts

3 → 0

Calls

12 calls:

12.0ms	(/.f64 (cbrt.f64 g) (cbrt.f64 (*.f64 2 a)))	g	-inf
9.0ms	(/.f64 (cbrt.f64 g) (cbrt.f64 (*.f64 2 a)))	a	-inf
9.0ms	(cbrt.f64 (*.f64 2 a))	a	-inf
8.0ms	(cbrt.f64 g)	g	-inf
4.0ms	(cbrt.f64 (*.f64 2 a))	a	inf

rewrite43.0ms (2.2%)

Algorithm

1×	batch-egg-rewrite

Rules

753×	`log1p-expm1-u_binary64`
753×	`expm1-log1p-u_binary64`
139×	`log1p-udef_binary64`
79×	`egg-rr`
78×	`add-sqr-sqrt_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	18
1	163	18
2	2032	18

Stop Event

1×	node limit

Counts

3 → 79

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

79 → 79

prune51.0ms (2.6%)

Pruning

16 alts after pruning (14 fresh and 2 done)

	Pruned	Kept	Total
New	74	5	79
Fresh	5	9	14
Picked	0	1	1
Done	0	1	1
Total	79	16	95

Error

0.0b

Counts

95 → 16

Alt Table

Status	Error	Program
	1.1b	(*.f64 (/.f64 1 (cbrt.f64 2)) (/.f64 (cbrt.f64 g) (cbrt.f64 a)))
	1.5b	(*.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 (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 2 a)))
	16.9b	(.f64 (cbrt.f64 (.f64 g (/.f64 1/2 a))) 1)
	16.9b	(cbrt.f64 (*.f64 1/2 (/.f64 g a)))
	1.5b	(*.f64 (/.f64 (pow.f64 (cbrt.f64 (cbrt.f64 g)) 2) (cbrt.f64 2)) (/.f64 (cbrt.f64 (cbrt.f64 g)) (cbrt.f64 a)))
	17.5b	(.f64 (/.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 g 1/2))) 2) (pow.f64 (cbrt.f64 (cbrt.f64 a)) 2)) (cbrt.f64 (cbrt.f64 (/.f64 g (/.f64 a 1/2)))))
	0.9b	(*.f64 (/.f64 (cbrt.f64 g) 1) (/.f64 (cbrt.f64 1/2) (cbrt.f64 a)))
	1.4b	(/.f64 (cbrt.f64 g) (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 2 a))) 3))
	1.5b	(/.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 g 1/2))) 3) (cbrt.f64 a))
✓	0.8b	(/.f64 (cbrt.f64 (*.f64 g 1/2)) (cbrt.f64 a))
✓	0.8b	(/.f64 (cbrt.f64 g) (cbrt.f64 (*.f64 2 a)))
▶	0.8b	(/.f64 1 (/.f64 (cbrt.f64 (*.f64 2 a)) (cbrt.f64 g)))
	16.6b	(/.f64 1 (cbrt.f64 (*.f64 2 (/.f64 a g))))

Compiler

Compiled 1284 to 908 computations (29.3% saved)

localize8.0ms (0.4%)

Local error

Found 4 expressions with local error:

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

series67.0ms (3.4%)

Counts

2 → 0

Calls

12 calls:

13.0ms	(/.f64 (cbrt.f64 (*.f64 2 a)) (cbrt.f64 g))	g	-inf
13.0ms	(/.f64 1 (/.f64 (cbrt.f64 (*.f64 2 a)) (cbrt.f64 g)))	g	-inf
10.0ms	(/.f64 1 (/.f64 (cbrt.f64 (*.f64 2 a)) (cbrt.f64 g)))	a	-inf
9.0ms	(/.f64 (cbrt.f64 (*.f64 2 a)) (cbrt.f64 g))	a	-inf
3.0ms	(/.f64 1 (/.f64 (cbrt.f64 (*.f64 2 a)) (cbrt.f64 g)))	g	0

rewrite51.0ms (2.6%)

Algorithm

1×	batch-egg-rewrite

Rules

893×	`log1p-expm1-u_binary64`
893×	`expm1-log1p-u_binary64`
95×	`add-sqr-sqrt_binary64`
90×	`add-cbrt-cube_binary64`
88×	`add-cube-cbrt_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	21
1	204	18
2	2506	18

Stop Event

1×	node limit

Counts

2 → 79

simplify10.0ms (0.5%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	0	0

Stop Event

1×

saturated

Counts

79 → 79

prune69.0ms (3.5%)

Pruning

16 alts after pruning (13 fresh and 3 done)

	Pruned	Kept	Total
New	123	0	123
Fresh	0	13	13
Picked	0	1	1
Done	0	2	2
Total	123	16	139

Error

0.0b

Counts

139 → 16

Alt Table

Status	Error	Program
	1.1b	(*.f64 (/.f64 1 (cbrt.f64 2)) (/.f64 (cbrt.f64 g) (cbrt.f64 a)))
	1.5b	(*.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 (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 2 a)))
	16.9b	(.f64 (cbrt.f64 (.f64 g (/.f64 1/2 a))) 1)
	16.9b	(cbrt.f64 (*.f64 1/2 (/.f64 g a)))
	1.5b	(*.f64 (/.f64 (pow.f64 (cbrt.f64 (cbrt.f64 g)) 2) (cbrt.f64 2)) (/.f64 (cbrt.f64 (cbrt.f64 g)) (cbrt.f64 a)))
	17.5b	(.f64 (/.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 g 1/2))) 2) (pow.f64 (cbrt.f64 (cbrt.f64 a)) 2)) (cbrt.f64 (cbrt.f64 (/.f64 g (/.f64 a 1/2)))))
	0.9b	(*.f64 (/.f64 (cbrt.f64 g) 1) (/.f64 (cbrt.f64 1/2) (cbrt.f64 a)))
	1.4b	(/.f64 (cbrt.f64 g) (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 2 a))) 3))
	1.5b	(/.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 g 1/2))) 3) (cbrt.f64 a))
✓	0.8b	(/.f64 (cbrt.f64 (*.f64 g 1/2)) (cbrt.f64 a))
✓	0.8b	(/.f64 (cbrt.f64 g) (cbrt.f64 (*.f64 2 a)))
✓	0.8b	(/.f64 1 (/.f64 (cbrt.f64 (*.f64 2 a)) (cbrt.f64 g)))
	16.6b	(/.f64 1 (cbrt.f64 (*.f64 2 (/.f64 a g))))

Compiler

Compiled 1806 to 1315 computations (27.2% saved)

regimes346.0ms (17.4%)

Accuracy

Total 0.8b remaining (92.7%)

Threshold costs 0.8b (92.7%)

Counts

64 → 1

Compiler

Compiled 4409 to 3542 computations (19.7% 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

end174.0ms (8.7%)

Stop Event

1×

fuel

Compiler

Compiled 223 to 173 computations (22.4% saved)

Details

analyze43.0ms (2.1%)

sample758.0ms (38.1%)

preprocess14.0ms (0.7%)

simplify7.0ms (0.4%)

prune1.0ms (0.1%)

localize4.0ms (0.2%)

series32.0ms (1.6%)

rewrite36.0ms (1.8%)

simplify6.0ms (0.3%)

prune28.0ms (1.4%)

localize5.0ms (0.3%)

series61.0ms (3.1%)

rewrite42.0ms (2.1%)

simplify6.0ms (0.3%)

prune53.0ms (2.7%)

localize5.0ms (0.3%)

series59.0ms (3%)

rewrite43.0ms (2.2%)

simplify6.0ms (0.3%)

prune51.0ms (2.6%)

localize8.0ms (0.4%)

series67.0ms (3.4%)

rewrite51.0ms (2.6%)

simplify10.0ms (0.5%)

prune69.0ms (3.5%)

regimes346.0ms (17.4%)

simplify2.0ms (0.1%)

end174.0ms (8.7%)

Profiling