Details

analyze117.0ms (3.7%)

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)

sample15.0ms (0.5%)

Algorithm

1×

intervals

Results

8.0ms

256×

body

128

valid

Compiler

Compiled 19 to 15 computations (21.1% saved)

simplify10.0ms (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

16.4b

Counts

1 → 1

Alt Table

Status	Error	Program
▶	16.4b	(cbrt.f64 (/.f64 g (*.f64 2 a)))

Compiler

Compiled 16 to 12 computations (25% saved)

localize4.0ms (0.1%)

Local error

Found 1 expressions with local error:

16.0b

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

rewrite16.0ms (0.5%)

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)

series42.0ms (1.3%)

Error

5.9b

Counts

1 → 6

Calls

1 calls:

38.0ms

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

Compiler

Compiled 253 to 217 computations (14.2% saved)

simplify65.0ms (2.1%)

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 (0.6%)

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
	16.7b	(.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)))))
	0.8b	(/.f64 (cbrt.f64 g) (cbrt.f64 (*.f64 a 2)))
	17.0b	(.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)))))
✓	16.4b	(cbrt.f64 (/.f64 g (*.f64 2 a)))
	16.4b	(*.f64 (cbrt.f64 1/2) (cbrt.f64 (/.f64 g a)))
	39.3b	(.f64 (sqrt.f64 (cbrt.f64 (/.f64 g (.f64 a 2)))) (sqrt.f64 (cbrt.f64 (/.f64 g (*.f64 a 2)))))
▶	0.8b	(*.f64 (cbrt.f64 g) (cbrt.f64 (/.f64 1/2 a)))
	39.4b	(.f64 (cbrt.f64 (sqrt.f64 (/.f64 g (.f64 a 2)))) (cbrt.f64 (sqrt.f64 (/.f64 g (*.f64 a 2)))))

Compiler

Compiled 376 to 280 computations (25.5% saved)

localize7.0ms (0.2%)

Local error

Found 3 expressions with local error:

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)

rewrite235.0ms (7.4%)

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)

series74.0ms (2.3%)

Error

0.2b

Counts

3 → 12

Calls

3 calls:

40.0ms	(*.f64 (cbrt.f64 g) (cbrt.f64 (/.f64 1/2 a)))
16.0ms	(cbrt.f64 (/.f64 1/2 a))
12.0ms	(cbrt.f64 g)

Compiler

Compiled 453 to 384 computations (15.2% saved)

simplify81.0ms (2.6%)

Algorithm

1×	egg-herbie

Rules

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

Counts

86 → 41

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

prune31.0ms (1%)

Pruning

13 alts after pruning (11 fresh and 2 done)

	Pruned	Kept	Total
New	36	5	41
Fresh	0	6	6
Picked	0	1	1
Done	0	1	1
Total	36	13	49

Error

0.1b

Counts

49 → 13

Alt Table

Status	Error	Program
	0.9b	(.f64 (.f64 (cbrt.f64 g) (cbrt.f64 (sqrt.f64 1/2))) (cbrt.f64 (/.f64 (sqrt.f64 1/2) a)))
	16.7b	(.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)))))
▶	0.8b	(.f64 (cbrt.f64 g) (.f64 (cbrt.f64 (/.f64 -1 a)) (cbrt.f64 -1/2)))
	16.4b	(*.f64 (cbrt.f64 1/2) (cbrt.f64 (/.f64 g 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))))
	39.4b	(.f64 (cbrt.f64 (sqrt.f64 (/.f64 g (.f64 a 2)))) (cbrt.f64 (sqrt.f64 (/.f64 g (*.f64 a 2)))))
	0.8b	(/.f64 (cbrt.f64 g) (cbrt.f64 (*.f64 a 2)))
	17.0b	(.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)))))
	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)))
✓	16.4b	(cbrt.f64 (/.f64 g (*.f64 2 a)))
	0.9b	(.f64 (cbrt.f64 g) (.f64 (cbrt.f64 (sqrt.f64 1/2)) (cbrt.f64 (/.f64 (sqrt.f64 1/2) a))))
	39.3b	(.f64 (sqrt.f64 (cbrt.f64 (/.f64 g (.f64 a 2)))) (sqrt.f64 (cbrt.f64 (/.f64 g (*.f64 a 2)))))
✓	0.8b	(*.f64 (cbrt.f64 g) (cbrt.f64 (/.f64 1/2 a)))

Compiler

Compiled 676 to 514 computations (24% saved)

localize11.0ms (0.4%)

Local error

Found 4 expressions with local error:

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

rewrite171.0ms (5.4%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

42×	`cbrt-prod_binary64`
38×	`add-sqr-sqrt_binary64`
24×	`*-un-lft-identity_binary64`
24×	`add-cube-cbrt_binary64`
22×	`associate-l_binary64`

Counts

4 → 97

Calls

4 calls:

9.0ms	(*.f64 (cbrt.f64 (/.f64 -1 a)) (cbrt.f64 -1/2))
7.0ms	(.f64 (cbrt.f64 g) (.f64 (cbrt.f64 (/.f64 -1 a)) (cbrt.f64 -1/2)))
2.0ms	(cbrt.f64 (/.f64 -1 a))
1.0ms	(cbrt.f64 g)

Compiler

Compiled 1538 to 1121 computations (27.1% saved)

series142.0ms (4.5%)

Error

0.1b

Counts

4 → 15

Calls

4 calls:

75.0ms	(.f64 (cbrt.f64 g) (.f64 (cbrt.f64 (/.f64 -1 a)) (cbrt.f64 -1/2)))
32.0ms	(*.f64 (cbrt.f64 (/.f64 -1 a)) (cbrt.f64 -1/2))
16.0ms	(cbrt.f64 (/.f64 -1 a))
14.0ms	(cbrt.f64 g)

Compiler

Compiled 635 to 551 computations (13.2% saved)

simplify100.0ms (3.2%)

Algorithm

1×	egg-herbie

Rules

334×	`*-commutative_binary64`
303×	`log-prod_binary64`
292×	`unswap-sqr_binary64`
237×	`times-frac_binary64`
236×	`associate-/r*_binary64`

Counts

112 → 70

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	173	1572
1	321	1561
2	847	1517
3	1685	1435
4	4511	1435
5	4952	1435

prune53.0ms (1.7%)

Pruning

14 alts after pruning (12 fresh and 2 done)

	Pruned	Kept	Total
New	64	6	70
Fresh	4	6	10
Picked	0	1	1
Done	1	1	2
Total	69	14	83

Error

0.1b

Counts

83 → 14

Alt Table

Status	Error	Program
	1.1b	(.f64 (cbrt.f64 (.f64 (cbrt.f64 g) (cbrt.f64 g))) (.f64 (.f64 (cbrt.f64 (/.f64 -1 a)) (cbrt.f64 -1/2)) (cbrt.f64 (cbrt.f64 g))))
	0.9b	(.f64 (.f64 (cbrt.f64 g) (cbrt.f64 (sqrt.f64 1/2))) (cbrt.f64 (/.f64 (sqrt.f64 1/2) a)))
	1.2b	(.f64 (cbrt.f64 g) (.f64 (cbrt.f64 (/.f64 1 (.f64 (cbrt.f64 a) (cbrt.f64 a)))) (.f64 (cbrt.f64 -1/2) (cbrt.f64 (/.f64 -1 (cbrt.f64 a))))))
▶	0.8b	(/.f64 (cbrt.f64 g) (cbrt.f64 (*.f64 a 2)))
✓	0.8b	(.f64 (cbrt.f64 g) (.f64 (cbrt.f64 (/.f64 -1 a)) (cbrt.f64 -1/2)))
	16.4b	(*.f64 (cbrt.f64 1/2) (cbrt.f64 (/.f64 g 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))))
	39.4b	(.f64 (cbrt.f64 (sqrt.f64 (/.f64 g (.f64 a 2)))) (cbrt.f64 (sqrt.f64 (/.f64 g (*.f64 a 2)))))
	1.5b	(.f64 (.f64 (cbrt.f64 (cbrt.f64 g)) (cbrt.f64 (cbrt.f64 g))) (.f64 (.f64 (cbrt.f64 (/.f64 -1 a)) (cbrt.f64 -1/2)) (cbrt.f64 (cbrt.f64 g))))
	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)))
✓	16.4b	(cbrt.f64 (/.f64 g (*.f64 2 a)))
	33.2b	(.f64 (cbrt.f64 (sqrt.f64 g)) (.f64 (*.f64 (cbrt.f64 (/.f64 -1 a)) (cbrt.f64 -1/2)) (cbrt.f64 (sqrt.f64 g))))
	35.0b	(.f64 (cbrt.f64 g) (.f64 (cbrt.f64 (sqrt.f64 (/.f64 -1 a))) (*.f64 (cbrt.f64 -1/2) (cbrt.f64 (sqrt.f64 (/.f64 -1 a))))))
	1.5b	(.f64 (cbrt.f64 g) (.f64 (.f64 (cbrt.f64 (cbrt.f64 (/.f64 -1 a))) (cbrt.f64 (cbrt.f64 (/.f64 -1 a)))) (.f64 (cbrt.f64 -1/2) (cbrt.f64 (cbrt.f64 (/.f64 -1 a))))))

Compiler

Compiled 1208 to 878 computations (27.3% saved)

localize6.0ms (0.2%)

Local error

Found 3 expressions with local error:

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

rewrite59.0ms (1.9%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

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

Counts

3 → 66

Calls

3 calls:

3.0ms	(/.f64 (cbrt.f64 g) (cbrt.f64 (*.f64 a 2)))
2.0ms	(cbrt.f64 (*.f64 a 2))
1.0ms	(cbrt.f64 g)

Compiler

Compiled 925 to 548 computations (40.8% saved)

series83.0ms (2.6%)

Error

0.1b

Counts

3 → 12

Calls

3 calls:

50.0ms	(/.f64 (cbrt.f64 g) (cbrt.f64 (*.f64 a 2)))
15.0ms	(cbrt.f64 (*.f64 a 2))
13.0ms	(cbrt.f64 g)

Compiler

Compiled 443 to 374 computations (15.6% saved)

simplify106.0ms (3.4%)

Algorithm

1×	egg-herbie

Rules

639×	`associate-/r*_binary64`
464×	`associate-l_binary64`
372×	`associate-/r/_binary64`
357×	`associate-*l/_binary64`
341×	`exp-sum_binary64`

Counts

78 → 39

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	126	1280
1	216	1214
2	496	1180
3	1489	1141
4	4130	1137
5	4992	1137
6	4955	1137

prune25.0ms (0.8%)

Pruning

15 alts after pruning (12 fresh and 3 done)

	Pruned	Kept	Total
New	35	4	39
Fresh	3	8	11
Picked	0	1	1
Done	0	2	2
Total	38	15	53

Error

0.0b

Counts

53 → 15

Alt Table

Status	Error	Program
	1.1b	(.f64 (cbrt.f64 (.f64 (cbrt.f64 g) (cbrt.f64 g))) (.f64 (.f64 (cbrt.f64 (/.f64 -1 a)) (cbrt.f64 -1/2)) (cbrt.f64 (cbrt.f64 g))))
	0.9b	(.f64 (.f64 (cbrt.f64 g) (cbrt.f64 (sqrt.f64 1/2))) (cbrt.f64 (/.f64 (sqrt.f64 1/2) a)))
	1.2b	(.f64 (cbrt.f64 g) (.f64 (cbrt.f64 (/.f64 1 (.f64 (cbrt.f64 a) (cbrt.f64 a)))) (.f64 (cbrt.f64 -1/2) (cbrt.f64 (/.f64 -1 (cbrt.f64 a))))))
	0.8b	(/.f64 (cbrt.f64 g) (cbrt.f64 (*.f64 a 2)))
	1.6b	(.f64 (/.f64 1 (.f64 (cbrt.f64 (cbrt.f64 (.f64 a 2))) (cbrt.f64 (cbrt.f64 (.f64 a 2))))) (/.f64 (cbrt.f64 g) (cbrt.f64 (cbrt.f64 (*.f64 a 2)))))
	16.4b	(cbrt.f64 (/.f64 g (*.f64 2 a)))
	0.8b	(.f64 (cbrt.f64 g) (.f64 (cbrt.f64 (/.f64 -1 a)) (cbrt.f64 -1/2)))
	16.4b	(*.f64 (cbrt.f64 1/2) (cbrt.f64 (/.f64 g 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))))
	39.4b	(.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 g) (cbrt.f64 (*.f64 (cbrt.f64 1/2) (cbrt.f64 1/2)))) (cbrt.f64 (/.f64 (cbrt.f64 1/2) a)))
	33.2b	(.f64 (cbrt.f64 (sqrt.f64 g)) (/.f64 (cbrt.f64 (sqrt.f64 g)) (cbrt.f64 (.f64 a 2))))
	16.8b	(/.f64 (cbrt.f64 (/.f64 g a)) (cbrt.f64 2))
	1.1b	(/.f64 (cbrt.f64 g) (*.f64 (cbrt.f64 (neg.f64 a)) (cbrt.f64 -2)))
	1.5b	(.f64 (cbrt.f64 g) (.f64 (.f64 (cbrt.f64 (cbrt.f64 (/.f64 -1 a))) (cbrt.f64 (cbrt.f64 (/.f64 -1 a)))) (.f64 (cbrt.f64 -1/2) (cbrt.f64 (cbrt.f64 (/.f64 -1 a))))))

Compiler

Compiled 588 to 429 computations (27% saved)

regimes1.0s (32%)

Accuracy

Total 0.8b remaining (93.8%)

Threshold costs 0.8b (93.8%)

Compiler

Compiled 15109 to 11742 computations (22.3% saved)

simplify3.0ms (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
2	14	16

end1.0ms (0%)

Compiler: Compiled 12 to 10 computations (16.7% saved)

sample678.0ms (21.4%)

Algorithm

1×

intervals

Results

268.0ms

8000×

body

128

valid

Compiler

Compiled 251 to 200 computations (20.3% saved)

Details

analyze117.0ms (3.7%)

sample15.0ms (0.5%)

simplify10.0ms (0.3%)

prune1.0ms (0%)

localize4.0ms (0.1%)

rewrite16.0ms (0.5%)

series42.0ms (1.3%)

simplify65.0ms (2.1%)

prune18.0ms (0.6%)

localize7.0ms (0.2%)

rewrite235.0ms (7.4%)

series74.0ms (2.3%)

simplify81.0ms (2.6%)

prune31.0ms (1%)

localize11.0ms (0.4%)

rewrite171.0ms (5.4%)

series142.0ms (4.5%)

simplify100.0ms (3.2%)

prune53.0ms (1.7%)

localize6.0ms (0.2%)

rewrite59.0ms (1.9%)

series83.0ms (2.6%)

simplify106.0ms (3.4%)

prune25.0ms (0.8%)

regimes1.0s (32%)

simplify3.0ms (0.1%)

end1.0ms (0%)

sample678.0ms (21.4%)

Profiling