Details

analyze46.0ms (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)

sample16.0ms (0.6%)

Algorithm

1×

intervals

Results

8.0ms

256×

body

128

valid

Compiler

Compiled 19 to 15 computations (21.1% saved)

simplify9.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

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

Counts

1 → 0

Iterations

Useful iterations: 0 (0.0ms)

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

prune1.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Kept	Total
New	0	0
Fresh	1	1
Picked	0	0
Done	0	0
Total	1	1

Error

16.9b

Counts

1 → 1

Alt Table

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

Compiler

Compiled 16 to 12 computations (25% saved)

localize4.0ms (0.2%)

Local error

Found 1 expressions with local error:

16.5b

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

rewrite16.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Error

0.2b

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 → 16

Calls

1 calls:

2.0ms

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

Compiler

Compiled 196 to 140 computations (28.6% saved)

series45.0ms (1.7%)

Error

6.4b

Counts

1 → 6

Calls

1 calls:

42.0ms

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

Compiler

Compiled 253 to 217 computations (14.2% saved)

simplify66.0ms (2.5%)

Algorithm

1×	egg-herbie

Rules

787×	`div-sub_binary64`
390×	`times-frac_binary64`
349×	`associate-/l*_binary64`
300×	`unswap-sqr_binary64`
246×	`exp-sum_binary64`

Counts

22 → 18

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	72	333
1	115	333
2	172	327
3	405	293
4	875	281
5	2044	281
6	4374	281
7	4967	281

prune18.0ms (0.7%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	11	7	18
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	11	8	19

Error

0.2b

Counts

19 → 8

Alt Table

Status	Error	Program
	38.8b	(exp.f64 (log.f64 (cbrt.f64 (/.f64 g (*.f64 a 2)))))
	16.9b	(*.f64 (cbrt.f64 1/2) (cbrt.f64 (/.f64 g a)))
✓	16.9b	(cbrt.f64 (/.f64 g (*.f64 2 a)))
▶	0.8b	(*.f64 (cbrt.f64 g) (cbrt.f64 (/.f64 1/2 a)))
	37.6b	(.f64 (cbrt.f64 (sqrt.f64 (/.f64 g (.f64 a 2)))) (cbrt.f64 (sqrt.f64 (/.f64 g (*.f64 a 2)))))
	17.2b	(.f64 (cbrt.f64 (.f64 (cbrt.f64 (/.f64 g (.f64 a 2))) (cbrt.f64 (/.f64 g (.f64 a 2))))) (cbrt.f64 (cbrt.f64 (/.f64 g (*.f64 a 2)))))
	0.9b	(/.f64 (cbrt.f64 g) (cbrt.f64 (*.f64 a 2)))
	17.5b	(.f64 (.f64 (cbrt.f64 (cbrt.f64 (/.f64 g (.f64 a 2)))) (cbrt.f64 (cbrt.f64 (/.f64 g (.f64 a 2))))) (cbrt.f64 (cbrt.f64 (/.f64 g (*.f64 a 2)))))

Compiler

Compiled 362 to 270 computations (25.4% saved)

localize6.0ms (0.2%)

Local error

Found 3 expressions with local error:

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))

rewrite60.0ms (2.3%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

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 → 74

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)

Compiler

Compiled 1002 to 629 computations (37.2% saved)

series68.0ms (2.6%)

Error

0.2b

Counts

3 → 12

Calls

3 calls:

38.0ms	(*.f64 (cbrt.f64 g) (cbrt.f64 (/.f64 1/2 a)))
14.0ms	(cbrt.f64 (/.f64 1/2 a))
12.0ms	(cbrt.f64 g)

Compiler

Compiled 453 to 384 computations (15.2% saved)

simplify80.0ms (3%)

Algorithm

1×	egg-herbie

Rules

513×	`exp-sum_binary64`
480×	`*-commutative_binary64`
371×	`associate-l_binary64`
306×	`associate-r_binary64`
260×	`associate-/r*_binary64`

Counts

86 → 45

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	144	1167
1	254	1163
2	645	1149
3	1613	1115
4	3701	1087
5	4887	1087

prune32.0ms (1.2%)

Pruning

15 alts after pruning (13 fresh and 2 done)

	Pruned	Kept	Total
New	36	9	45
Fresh	2	4	6
Picked	0	1	1
Done	0	1	1
Total	38	15	53

Error

0.1b

Counts

53 → 15

Alt Table

Status	Error	Program
▶	0.8b	(.f64 (.f64 (cbrt.f64 1/2) (cbrt.f64 g)) (cbrt.f64 (/.f64 1 a)))
✓	16.9b	(cbrt.f64 (/.f64 g (*.f64 2 a)))
	0.9b	(.f64 (.f64 (cbrt.f64 g) (cbrt.f64 (sqrt.f64 1/2))) (cbrt.f64 (/.f64 (sqrt.f64 1/2) a)))
✓	0.8b	(*.f64 (cbrt.f64 g) (cbrt.f64 (/.f64 1/2 a)))
	1.2b	(.f64 (cbrt.f64 (.f64 (cbrt.f64 g) (cbrt.f64 g))) (*.f64 (cbrt.f64 (/.f64 1/2 a)) (cbrt.f64 (cbrt.f64 g))))
	17.2b	(.f64 (cbrt.f64 (.f64 (cbrt.f64 (/.f64 g (.f64 a 2))) (cbrt.f64 (/.f64 g (.f64 a 2))))) (cbrt.f64 (cbrt.f64 (/.f64 g (*.f64 a 2)))))
	1.5b	(.f64 (.f64 (cbrt.f64 (cbrt.f64 g)) (cbrt.f64 (cbrt.f64 g))) (*.f64 (cbrt.f64 (/.f64 1/2 a)) (cbrt.f64 (cbrt.f64 g))))
	0.9b	(/.f64 (cbrt.f64 g) (cbrt.f64 (*.f64 a 2)))
	16.9b	(*.f64 (cbrt.f64 1/2) (cbrt.f64 (/.f64 g a)))
	34.9b	(.f64 (cbrt.f64 g) (.f64 (cbrt.f64 (/.f64 (pow.f64 a -1/3) (cbrt.f64 a))) (cbrt.f64 (/.f64 1/2 (cbrt.f64 a)))))
	0.9b	(.f64 (cbrt.f64 g) (.f64 (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))))
	0.9b	(.f64 (.f64 (cbrt.f64 g) (cbrt.f64 (*.f64 (cbrt.f64 1/2) (cbrt.f64 1/2)))) (cbrt.f64 (/.f64 (cbrt.f64 1/2) a)))
	37.6b	(.f64 (cbrt.f64 (sqrt.f64 (/.f64 g (.f64 a 2)))) (cbrt.f64 (sqrt.f64 (/.f64 g (*.f64 a 2)))))
	0.9b	(/.f64 (*.f64 (cbrt.f64 1/2) (cbrt.f64 g)) (cbrt.f64 a))

Compiler

Compiled 767 to 558 computations (27.2% saved)

localize8.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.3b	(.f64 (.f64 (cbrt.f64 1/2) (cbrt.f64 g)) (cbrt.f64 (/.f64 1 a)))
0.5b	(*.f64 (cbrt.f64 1/2) (cbrt.f64 g))
0.6b	(cbrt.f64 (/.f64 1 a))
0.6b	(cbrt.f64 g)

rewrite87.0ms (3.3%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

39×	`cbrt-prod_binary64`
32×	`add-sqr-sqrt_binary64`
24×	`*-un-lft-identity_binary64`
24×	`add-cube-cbrt_binary64`
22×	`associate-r_binary64`

Counts

4 → 94

Calls

4 calls:

8.0ms	(.f64 (.f64 (cbrt.f64 1/2) (cbrt.f64 g)) (cbrt.f64 (/.f64 1 a)))
4.0ms	(*.f64 (cbrt.f64 1/2) (cbrt.f64 g))
2.0ms	(cbrt.f64 (/.f64 1 a))
1.0ms	(cbrt.f64 g)

Compiler

Compiled 1443 to 1027 computations (28.8% saved)

series87.0ms (3.3%)

Error

0.1b

Counts

4 → 15

Calls

4 calls:

42.0ms	(.f64 (.f64 (cbrt.f64 1/2) (cbrt.f64 g)) (cbrt.f64 (/.f64 1 a)))
16.0ms	(*.f64 (cbrt.f64 1/2) (cbrt.f64 g))
12.0ms	(cbrt.f64 (/.f64 1 a))
12.0ms	(cbrt.f64 g)

Compiler

Compiled 599 to 516 computations (13.9% saved)

simplify92.0ms (3.5%)

Algorithm

1×	egg-herbie

Rules

337×	`associate-+l+_binary64`
326×	`*-commutative_binary64`
276×	`log-prod_binary64`
204×	`unswap-sqr_binary64`
203×	`associate-/l*_binary64`

Counts

109 → 88

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	132	1347
1	269	1313
2	847	1283
3	1587	1164
4	4717	1164
5	5057	1164

prune47.0ms (1.8%)

Pruning

12 alts after pruning (10 fresh and 2 done)

	Pruned	Kept	Total
New	85	3	88
Fresh	5	7	12
Picked	1	0	1
Done	0	2	2
Total	91	12	103

Error

0.0b

Counts

103 → 12

Alt Table

Status	Error	Program
▶	0.8b	(.f64 (cbrt.f64 (.f64 g 1/2)) (cbrt.f64 (/.f64 1 a)))
✓	16.9b	(cbrt.f64 (/.f64 g (*.f64 2 a)))
	0.9b	(.f64 (.f64 (cbrt.f64 g) (cbrt.f64 (sqrt.f64 1/2))) (cbrt.f64 (/.f64 (sqrt.f64 1/2) a)))
✓	0.8b	(*.f64 (cbrt.f64 g) (cbrt.f64 (/.f64 1/2 a)))
	0.9b	(.f64 (.f64 (cbrt.f64 1/2) (cbrt.f64 g)) (/.f64 1 (cbrt.f64 a)))
	1.5b	(.f64 (.f64 (cbrt.f64 (cbrt.f64 g)) (cbrt.f64 (cbrt.f64 g))) (*.f64 (cbrt.f64 (/.f64 1/2 a)) (cbrt.f64 (cbrt.f64 g))))
	0.9b	(/.f64 (cbrt.f64 g) (cbrt.f64 (*.f64 a 2)))
	16.9b	(*.f64 (cbrt.f64 1/2) (cbrt.f64 (/.f64 g a)))
	1.1b	(.f64 (.f64 (.f64 (cbrt.f64 g) (cbrt.f64 1/2)) (cbrt.f64 (/.f64 1 (.f64 (cbrt.f64 a) (cbrt.f64 a))))) (cbrt.f64 (/.f64 1 (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))))
	0.9b	(.f64 (.f64 (cbrt.f64 g) (cbrt.f64 (*.f64 (cbrt.f64 1/2) (cbrt.f64 1/2)))) (cbrt.f64 (/.f64 (cbrt.f64 1/2) a)))
	1.2b	(.f64 (cbrt.f64 (.f64 (cbrt.f64 g) (cbrt.f64 g))) (*.f64 (cbrt.f64 (/.f64 1/2 a)) (cbrt.f64 (cbrt.f64 g))))

Compiler

Compiled 1189 to 867 computations (27.1% saved)

localize7.0ms (0.3%)

Local error

Found 3 expressions with local error:

0.3b	(.f64 (cbrt.f64 (.f64 g 1/2)) (cbrt.f64 (/.f64 1 a)))
0.5b	(cbrt.f64 (*.f64 g 1/2))
0.6b	(cbrt.f64 (/.f64 1 a))

rewrite81.0ms (3.1%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

31×	`cbrt-prod_binary64`
28×	`add-sqr-sqrt_binary64`
20×	`*-un-lft-identity_binary64`
20×	`times-frac_binary64`
19×	`add-cube-cbrt_binary64`

Counts

3 → 68

Calls

3 calls:

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

Compiler

Compiled 1046 to 820 computations (21.6% saved)

series72.0ms (2.7%)

Error

0.0b

Counts

3 → 12

Calls

3 calls:

41.0ms	(.f64 (cbrt.f64 (.f64 g 1/2)) (cbrt.f64 (/.f64 1 a)))
16.0ms	(cbrt.f64 (*.f64 g 1/2))
11.0ms	(cbrt.f64 (/.f64 1 a))

Compiler

Compiled 469 to 401 computations (14.5% saved)

simplify119.0ms (4.5%)

Algorithm

1×	egg-herbie

Rules

441×	`exp-sum_binary64`
402×	`log-prod_binary64`
382×	`unswap-sqr_binary64`
355×	`*-commutative_binary64`
269×	`unsub-neg_binary64`

Counts

80 → 69

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	107	1134
1	199	1125
2	452	1109
3	1150	989
4	2609	952
5	4514	872
6	4811	872
7	4951	872

prune36.0ms (1.4%)

Pruning

16 alts after pruning (13 fresh and 3 done)

	Pruned	Kept	Total
New	64	5	69
Fresh	1	8	9
Picked	0	1	1
Done	0	2	2
Total	65	16	81

Error

0.0b

Counts

81 → 16

Alt Table

Status	Error	Program
	1.5b	(.f64 (.f64 (.f64 (cbrt.f64 (cbrt.f64 (.f64 1/2 g))) (cbrt.f64 (cbrt.f64 (.f64 1/2 g)))) (cbrt.f64 (cbrt.f64 (.f64 1/2 g)))) (cbrt.f64 (/.f64 1 a)))
	16.9b	(*.f64 (cbrt.f64 1/2) (cbrt.f64 (/.f64 g a)))
	0.8b	(.f64 (cbrt.f64 1/2) (.f64 (cbrt.f64 (/.f64 -1 a)) (cbrt.f64 (neg.f64 g))))
	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 (cbrt.f64 (.f64 g 1/2)) (cbrt.f64 (/.f64 1 a)))
	16.9b	(cbrt.f64 (/.f64 g (*.f64 2 a)))
	0.9b	(.f64 (.f64 (cbrt.f64 g) (cbrt.f64 (sqrt.f64 1/2))) (cbrt.f64 (/.f64 (sqrt.f64 1/2) 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))) (cbrt.f64 (cbrt.f64 (.f64 g 1/2)))) (/.f64 (cbrt.f64 (cbrt.f64 (*.f64 1/2 g))) (cbrt.f64 a)))
	1.2b	(.f64 (cbrt.f64 (.f64 (cbrt.f64 g) (cbrt.f64 g))) (*.f64 (cbrt.f64 (/.f64 1/2 a)) (cbrt.f64 (cbrt.f64 g))))
	0.9b	(.f64 (.f64 (cbrt.f64 1/2) (cbrt.f64 g)) (/.f64 1 (cbrt.f64 a)))
	0.8b	(/.f64 (cbrt.f64 (*.f64 1/2 g)) (cbrt.f64 a))
	1.5b	(.f64 (.f64 (cbrt.f64 (cbrt.f64 g)) (cbrt.f64 (cbrt.f64 g))) (*.f64 (cbrt.f64 (/.f64 1/2 a)) (cbrt.f64 (cbrt.f64 g))))
	0.9b	(/.f64 (cbrt.f64 g) (cbrt.f64 (*.f64 a 2)))
	1.1b	(.f64 (.f64 (.f64 (cbrt.f64 g) (cbrt.f64 1/2)) (cbrt.f64 (/.f64 1 (.f64 (cbrt.f64 a) (cbrt.f64 a))))) (cbrt.f64 (/.f64 1 (cbrt.f64 a))))
	34.1b	(.f64 (sqrt.f64 (cbrt.f64 (.f64 g 1/2))) (/.f64 (sqrt.f64 (cbrt.f64 (*.f64 1/2 g))) (cbrt.f64 a)))

Compiler

Compiled 807 to 609 computations (24.5% saved)

regimes850.0ms (32.2%)

Accuracy

Total 0.8b remaining (94.3%)

Threshold costs 0.8b (94.3%)

Compiler

Compiled 13562 to 10742 computations (20.8% saved)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

3×	`*-commutative_binary64`
1×	`+-commutative_binary64`
1×	`sub-neg_binary64`
1×	`neg-sub0_binary64`
1×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	18
1	17	18
2	19	18
3	20	18
4	20	18

end1.0ms (0%)

Compiler: Compiled 13 to 11 computations (15.4% saved)

sample685.0ms (25.9%)

Algorithm

1×

intervals

Results

272.0ms

8000×

body

128

valid

Compiler

Compiled 254 to 199 computations (21.7% saved)

Details

analyze46.0ms (1.7%)

sample16.0ms (0.6%)

simplify9.0ms (0.3%)

prune1.0ms (0%)

localize4.0ms (0.2%)

rewrite16.0ms (0.6%)

series45.0ms (1.7%)

simplify66.0ms (2.5%)

prune18.0ms (0.7%)

localize6.0ms (0.2%)

rewrite60.0ms (2.3%)

series68.0ms (2.6%)

simplify80.0ms (3%)

prune32.0ms (1.2%)

localize8.0ms (0.3%)

rewrite87.0ms (3.3%)

series87.0ms (3.3%)

simplify92.0ms (3.5%)

prune47.0ms (1.8%)

localize7.0ms (0.3%)

rewrite81.0ms (3.1%)

series72.0ms (2.7%)

simplify119.0ms (4.5%)

prune36.0ms (1.4%)

regimes850.0ms (32.2%)

simplify3.0ms (0.1%)

end1.0ms (0%)

sample685.0ms (25.9%)

Profiling