Details

analyze34.0ms (0.8%)

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)

sample776.0ms (19.2%)

Results

749.0ms

8256×

body

128

valid

Compiler

Compiled 26 to 20 computations (23.1% saved)

simplify6.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

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

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	9
1	10	9
2	12	9
3	12	9

prune2.0ms (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

15.1b

Counts

2 → 1

Alt Table

Status	Error	Program
▶	15.1b	(cbrt.f64 (/.f64 g (*.f64 2 a)))

Compiler

Compiled 24 to 18 computations (25% saved)

localize4.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	14.8b	(cbrt.f64 (/.f64 g (*.f64 2 a)))

series397.0ms (9.8%)

Counts

1 → 24

Calls

1 calls:

397.0ms

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

rewrite6.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

7×	`cbrt-prod_binary64`
3×	`*-un-lft-identity_binary64`
3×	`times-frac_binary64`
3×	`add-sqr-sqrt_binary64`
3×	`add-cube-cbrt_binary64`

Counts

1 → 18

Calls

1 calls:

5.0ms

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

simplify67.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

809×	`div-sub_binary64`
664×	`fma-def_binary64`
461×	`fma-neg_binary64`
390×	`times-frac_binary64`
300×	`unswap-sqr_binary64`

Counts

42 → 38

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	74	709
1	117	709
2	178	685
3	426	549
4	960	513
5	2276	513
6	4146	513
7	5010	513

prune33.0ms (0.8%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	29	9	38
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	29	10	39

Error

0.2b

Counts

39 → 10

Alt Table

Status	Error	Program
	15.5b	(.f64 (cbrt.f64 (.f64 (cbrt.f64 (/.f64 g (.f64 2 a))) (cbrt.f64 (/.f64 g (.f64 2 a))))) (cbrt.f64 (cbrt.f64 (/.f64 g (*.f64 2 a)))))
	0.8b	(/.f64 (cbrt.f64 g) (cbrt.f64 (*.f64 2 a)))
	15.8b	(.f64 (.f64 (cbrt.f64 (cbrt.f64 (/.f64 g (.f64 2 a)))) (cbrt.f64 (cbrt.f64 (/.f64 g (.f64 2 a))))) (cbrt.f64 (cbrt.f64 (/.f64 g (*.f64 2 a)))))
	15.3b	(cbrt.f64 (.f64 (.f64 (cbrt.f64 (/.f64 g (.f64 2 a))) (cbrt.f64 (/.f64 g (.f64 2 a)))) (cbrt.f64 (/.f64 g (*.f64 2 a)))))
✓	15.1b	(cbrt.f64 (/.f64 g (*.f64 2 a)))
	52.2b	(.f64 (exp.f64 (.f64 1/3 (+.f64 (log.f64 (/.f64 -1 a)) (log.f64 g)))) (cbrt.f64 -1/2))
	15.2b	(*.f64 (cbrt.f64 1/2) (cbrt.f64 (/.f64 g a)))
▶	0.8b	(*.f64 (cbrt.f64 g) (cbrt.f64 (/.f64 1/2 a)))
	39.8b	(*.f64 (cbrt.f64 (/.f64 (sqrt.f64 g) 2)) (cbrt.f64 (/.f64 (sqrt.f64 g) a)))
	4.3b	(.f64 (cbrt.f64 (/.f64 (.f64 (cbrt.f64 g) (cbrt.f64 g)) 2)) (cbrt.f64 (/.f64 (cbrt.f64 g) a)))

Compiler

Compiled 735 to 538 computations (26.8% saved)

localize5.0ms (0.1%)

Local error

Found 3 expressions with local error:

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

series458.0ms (11.3%)

Counts

3 → 48

Calls

3 calls:

396.0ms	(*.f64 (cbrt.f64 g) (cbrt.f64 (/.f64 1/2 a)))
33.0ms	(cbrt.f64 (/.f64 1/2 a))
28.0ms	(cbrt.f64 g)

rewrite13.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

39×	`cbrt-prod_binary64`
35×	`add-sqr-sqrt_binary64`
21×	`*-un-lft-identity_binary64`
21×	`add-cube-cbrt_binary64`
20×	`times-frac_binary64`

Counts

3 → 80

Calls

3 calls:

7.0ms	(*.f64 (cbrt.f64 g) (cbrt.f64 (/.f64 1/2 a)))
2.0ms	(cbrt.f64 (/.f64 1/2 a))
1.0ms	(cbrt.f64 g)

simplify85.0ms (2.1%)

Algorithm

1×	egg-herbie

Rules

521×	`exp-sum_binary64`
480×	`*-commutative_binary64`
376×	`fma-neg_binary64`
371×	`associate-l_binary64`
306×	`associate-r_binary64`

Counts

128 → 116

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	150	1729
1	260	1725
2	655	1660
3	1644	1530
4	3907	1502
5	5154	1502

prune81.0ms (2%)

Pruning

17 alts after pruning (16 fresh and 1 done)

	Pruned	Kept	Total
New	104	12	116
Fresh	4	4	8
Picked	0	1	1
Done	1	0	1
Total	109	17	126

Error

0.0b

Counts

126 → 17

Alt Table

Status	Error	Program
	0.9b	(*.f64 (cbrt.f64 g) (/.f64 (cbrt.f64 1/2) (cbrt.f64 a)))
▶	0.8b	(/.f64 (cbrt.f64 g) (cbrt.f64 (*.f64 2 a)))
	37.1b	(.f64 (sqrt.f64 (cbrt.f64 g)) (.f64 (sqrt.f64 (cbrt.f64 g)) (cbrt.f64 (/.f64 1/2 a))))
	30.1b	(.f64 (cbrt.f64 g) (.f64 (cbrt.f64 (/.f64 1 (sqrt.f64 a))) (cbrt.f64 (/.f64 1/2 (sqrt.f64 a)))))
	30.1b	(.f64 (cbrt.f64 g) (.f64 (cbrt.f64 (sqrt.f64 (/.f64 1/2 a))) (cbrt.f64 (sqrt.f64 (/.f64 1/2 a)))))
✓	0.8b	(*.f64 (cbrt.f64 g) (cbrt.f64 (/.f64 1/2 a)))
	37.2b	(.f64 (.f64 (cbrt.f64 (sqrt.f64 g)) (cbrt.f64 (sqrt.f64 g))) (cbrt.f64 (/.f64 1/2 a)))
	39.8b	(*.f64 (cbrt.f64 (/.f64 (sqrt.f64 g) 2)) (cbrt.f64 (/.f64 (sqrt.f64 g) a)))
	0.8b	(.f64 (.f64 (cbrt.f64 g) (cbrt.f64 (sqrt.f64 1/2))) (cbrt.f64 (/.f64 (sqrt.f64 1/2) a)))
	15.5b	(.f64 (cbrt.f64 (.f64 (cbrt.f64 (/.f64 g (.f64 2 a))) (cbrt.f64 (/.f64 g (.f64 2 a))))) (cbrt.f64 (cbrt.f64 (/.f64 g (*.f64 2 a)))))
	1.1b	(.f64 (cbrt.f64 g) (.f64 (cbrt.f64 (/.f64 1 (*.f64 (cbrt.f64 a) (cbrt.f64 a)))) (cbrt.f64 (/.f64 1/2 (cbrt.f64 a)))))
	0.9b	(.f64 (cbrt.f64 g) (.f64 (cbrt.f64 (*.f64 (cbrt.f64 1/2) (cbrt.f64 1/2))) (cbrt.f64 (/.f64 (cbrt.f64 1/2) a))))
	0.8b	(/.f64 (*.f64 (cbrt.f64 g) (cbrt.f64 1/2)) (cbrt.f64 a))
	30.1b	(.f64 (cbrt.f64 g) (.f64 (cbrt.f64 (/.f64 (*.f64 (cbrt.f64 1/2) (cbrt.f64 1/2)) (sqrt.f64 a))) (cbrt.f64 (/.f64 (cbrt.f64 1/2) (sqrt.f64 a)))))
	15.1b	(cbrt.f64 (*.f64 g (/.f64 1/2 a)))
	0.9b	(.f64 (.f64 (cbrt.f64 g) (cbrt.f64 1/2)) (cbrt.f64 (/.f64 1 a)))
	4.3b	(.f64 (cbrt.f64 (/.f64 (.f64 (cbrt.f64 g) (cbrt.f64 g)) 2)) (cbrt.f64 (/.f64 (cbrt.f64 g) a)))

Compiler

Compiled 2024 to 1353 computations (33.2% saved)

localize6.0ms (0.1%)

Local error

Found 3 expressions with local error:

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

series463.0ms (11.4%)

Counts

2 → 36

Calls

2 calls:

428.0ms	(/.f64 (cbrt.f64 g) (cbrt.f64 (*.f64 2 a)))
34.0ms	(cbrt.f64 (*.f64 2 a))

rewrite7.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

24×	`times-frac_binary64`
23×	`cbrt-prod_binary64`
19×	`*-un-lft-identity_binary64`
19×	`add-sqr-sqrt_binary64`
19×	`add-cube-cbrt_binary64`

Counts

2 → 59

Calls

2 calls:

3.0ms	(/.f64 (cbrt.f64 g) (cbrt.f64 (*.f64 2 a)))
2.0ms	(cbrt.f64 (*.f64 2 a))

simplify114.0ms (2.8%)

Algorithm

1×	egg-herbie

Rules

558×	`fma-def_binary64`
438×	`times-frac_binary64`
415×	`associate-/l/_binary64`
378×	`associate-l_binary64`
353×	`associate-/r*_binary64`

Counts

95 → 112

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	124	1680
1	205	1634
2	380	1598
3	763	1452
4	1689	1416
5	4383	1416
6	4743	1416
7	4916	1416

prune79.0ms (1.9%)

Pruning

15 alts after pruning (14 fresh and 1 done)

	Pruned	Kept	Total
New	126	4	130
Fresh	5	10	15
Picked	0	1	1
Done	1	0	1
Total	132	15	147

Error

0.0b

Counts

147 → 15

Alt Table

Status	Error	Program
	15.5b	(.f64 (cbrt.f64 (.f64 (cbrt.f64 (/.f64 g (.f64 2 a))) (cbrt.f64 (/.f64 g (.f64 2 a))))) (cbrt.f64 (cbrt.f64 (/.f64 g (*.f64 2 a)))))
	15.1b	(cbrt.f64 (/.f64 g (*.f64 a 2)))
	0.9b	(*.f64 (cbrt.f64 g) (/.f64 (cbrt.f64 1/2) (cbrt.f64 a)))
✓	0.8b	(/.f64 (cbrt.f64 g) (cbrt.f64 (*.f64 2 a)))
	1.1b	(.f64 (cbrt.f64 g) (.f64 (cbrt.f64 (/.f64 1 (*.f64 (cbrt.f64 a) (cbrt.f64 a)))) (cbrt.f64 (/.f64 1/2 (cbrt.f64 a)))))
	1.1b	(/.f64 (/.f64 (cbrt.f64 g) (cbrt.f64 2)) (cbrt.f64 a))
	37.2b	(.f64 (.f64 (cbrt.f64 (sqrt.f64 g)) (cbrt.f64 (sqrt.f64 g))) (cbrt.f64 (/.f64 1/2 a)))
	37.3b	(.f64 (cbrt.f64 (sqrt.f64 g)) (/.f64 (cbrt.f64 (sqrt.f64 g)) (cbrt.f64 (.f64 a 2))))
	0.8b	(.f64 (.f64 (cbrt.f64 g) (cbrt.f64 (sqrt.f64 1/2))) (cbrt.f64 (/.f64 (sqrt.f64 1/2) a)))
	0.9b	(.f64 (cbrt.f64 g) (.f64 (cbrt.f64 (*.f64 (cbrt.f64 1/2) (cbrt.f64 1/2))) (cbrt.f64 (/.f64 (cbrt.f64 1/2) a))))
▶	0.8b	(/.f64 (*.f64 (cbrt.f64 g) (cbrt.f64 1/2)) (cbrt.f64 a))
	30.1b	(.f64 (cbrt.f64 g) (.f64 (cbrt.f64 (/.f64 (*.f64 (cbrt.f64 1/2) (cbrt.f64 1/2)) (sqrt.f64 a))) (cbrt.f64 (/.f64 (cbrt.f64 1/2) (sqrt.f64 a)))))
	1.1b	(*.f64 (/.f64 1 (cbrt.f64 2)) (/.f64 (cbrt.f64 g) (cbrt.f64 a)))
	30.1b	(.f64 (cbrt.f64 g) (.f64 (cbrt.f64 (sqrt.f64 (/.f64 1/2 a))) (cbrt.f64 (sqrt.f64 (/.f64 1/2 a)))))
	0.9b	(.f64 (.f64 (cbrt.f64 g) (cbrt.f64 1/2)) (cbrt.f64 (/.f64 1 a)))

Compiler

Compiled 2183 to 1406 computations (35.6% saved)

localize8.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.3b	(/.f64 (*.f64 (cbrt.f64 g) (cbrt.f64 1/2)) (cbrt.f64 a))
✓	0.4b	(*.f64 (cbrt.f64 g) (cbrt.f64 1/2))
	0.6b	(cbrt.f64 g)
✓	0.6b	(cbrt.f64 a)

series473.0ms (11.7%)

Counts

3 → 48

Calls

3 calls:

407.0ms	(/.f64 (*.f64 (cbrt.f64 g) (cbrt.f64 1/2)) (cbrt.f64 a))
37.0ms	(*.f64 (cbrt.f64 g) (cbrt.f64 1/2))
29.0ms	(cbrt.f64 a)

rewrite16.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

20×	`add-sqr-sqrt_binary64`
19×	`cbrt-prod_binary64`
12×	`*-un-lft-identity_binary64`
12×	`add-cube-cbrt_binary64`
10×	`add-exp-log_binary64`

Counts

3 → 72

Calls

3 calls:

9.0ms	(*.f64 (cbrt.f64 g) (cbrt.f64 1/2))
4.0ms	(/.f64 (*.f64 (cbrt.f64 g) (cbrt.f64 1/2)) (cbrt.f64 a))
1.0ms	(cbrt.f64 a)

simplify78.0ms (1.9%)

Algorithm

1×	egg-herbie

Rules

876×	`times-frac_binary64`
474×	`associate-/l*_binary64`
338×	`associate-l_binary64`
287×	`associate-r_binary64`
231×	`associate-/r*_binary64`

Counts

120 → 124

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	136	1629
1	266	1546
2	858	1496
3	4046	1340
4	4968	1340

prune82.0ms (2%)

Pruning

15 alts after pruning (13 fresh and 2 done)

	Pruned	Kept	Total
New	138	4	142
Fresh	4	9	13
Picked	0	1	1
Done	0	1	1
Total	142	15	157

Error

0.0b

Counts

157 → 15

Alt Table

Status	Error	Program
	1.1b	(.f64 (cbrt.f64 g) (.f64 (cbrt.f64 (/.f64 1 (*.f64 (cbrt.f64 a) (cbrt.f64 a)))) (cbrt.f64 (/.f64 1/2 (cbrt.f64 a)))))
	0.9b	(/.f64 (cbrt.f64 g) (/.f64 (cbrt.f64 a) (cbrt.f64 1/2)))
	1.1b	(/.f64 (/.f64 (cbrt.f64 g) (cbrt.f64 2)) (cbrt.f64 a))
✓	0.8b	(/.f64 (*.f64 (cbrt.f64 g) (cbrt.f64 1/2)) (cbrt.f64 a))
	15.1b	(cbrt.f64 (/.f64 (*.f64 g 1/2) a))
	1.1b	(/.f64 (.f64 (.f64 (cbrt.f64 g) (cbrt.f64 (sqrt.f64 1/2))) (cbrt.f64 (sqrt.f64 1/2))) (cbrt.f64 a))
	0.9b	(.f64 (.f64 (cbrt.f64 g) (cbrt.f64 1/2)) (cbrt.f64 (/.f64 1 a)))
	37.3b	(.f64 (cbrt.f64 (sqrt.f64 g)) (/.f64 (cbrt.f64 (sqrt.f64 g)) (cbrt.f64 (.f64 a 2))))
	0.8b	(.f64 (.f64 (cbrt.f64 g) (cbrt.f64 (sqrt.f64 1/2))) (cbrt.f64 (/.f64 (sqrt.f64 1/2) a)))
	15.5b	(.f64 (cbrt.f64 (.f64 (cbrt.f64 (/.f64 g (.f64 2 a))) (cbrt.f64 (/.f64 g (.f64 2 a))))) (cbrt.f64 (cbrt.f64 (/.f64 g (*.f64 2 a)))))
✓	0.8b	(/.f64 (cbrt.f64 g) (cbrt.f64 (*.f64 2 a)))
	0.9b	(/.f64 1 (/.f64 (cbrt.f64 a) (*.f64 (cbrt.f64 g) (cbrt.f64 1/2))))
	0.9b	(.f64 (cbrt.f64 g) (.f64 (cbrt.f64 (*.f64 (cbrt.f64 1/2) (cbrt.f64 1/2))) (cbrt.f64 (/.f64 (cbrt.f64 1/2) a))))
	1.1b	(*.f64 (/.f64 1 (cbrt.f64 2)) (/.f64 (cbrt.f64 g) (cbrt.f64 a)))
	30.1b	(.f64 (cbrt.f64 g) (.f64 (cbrt.f64 (sqrt.f64 (/.f64 1/2 a))) (cbrt.f64 (sqrt.f64 (/.f64 1/2 a)))))

Compiler

Compiled 1995 to 1189 computations (40.4% saved)

regimes593.0ms (14.6%)

Accuracy

Total 0.8b remaining (93.4%)

Threshold costs 0.8b (93.4%)

Counts

116 → 1

Compiler

Compiled 9307 to 7071 computations (24% saved)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Rules

1×	`*-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	11
1	9	11
2	9	11

end166.0ms (4.1%)

Compiler: Compiled 220 to 174 computations (20.9% saved)

Details

analyze34.0ms (0.8%)

sample776.0ms (19.2%)

simplify6.0ms (0.1%)

prune2.0ms (0%)

localize4.0ms (0.1%)

series397.0ms (9.8%)

rewrite6.0ms (0.1%)

simplify67.0ms (1.7%)

prune33.0ms (0.8%)

localize5.0ms (0.1%)

series458.0ms (11.3%)

rewrite13.0ms (0.3%)

simplify85.0ms (2.1%)

prune81.0ms (2%)

localize6.0ms (0.1%)

series463.0ms (11.4%)

rewrite7.0ms (0.2%)

simplify114.0ms (2.8%)

prune79.0ms (1.9%)

localize8.0ms (0.2%)

series473.0ms (11.7%)

rewrite16.0ms (0.4%)

simplify78.0ms (1.9%)

prune82.0ms (2%)

regimes593.0ms (14.6%)

simplify2.0ms (0%)

end166.0ms (4.1%)

Profiling