Details

analyze51.0ms (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)

sample19.0ms (0.7%)

Algorithm

1×

intervals

Results

11.0ms

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

prune2.0ms (0.1%)

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

15.9b

Counts

1 → 1

Alt Table

Status	Error	Program
▶	15.9b	(cbrt.f64 (/.f64 g (*.f64 2 a)))

Compiler

Compiled 16 to 12 computations (25% saved)

localize8.0ms (0.3%)

Local error

Found 1 expressions with local error:

15.4b

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

rewrite15.0ms (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)

series46.0ms (1.6%)

Error

7.2b

Counts

1 → 6

Calls

1 calls:

42.0ms

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

Compiler

Compiled 253 to 217 computations (14.2% saved)

simplify73.0ms (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

prune22.0ms (0.8%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	10	8	18
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	10	9	19

Error

0.2b

Counts

19 → 9

Alt Table

Status	Error	Program
	35.6b	(.f64 (cbrt.f64 (sqrt.f64 (/.f64 g (.f64 a 2)))) (cbrt.f64 (sqrt.f64 (/.f64 g (*.f64 a 2)))))
	35.5b	(.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)))
	16.3b	(.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)))))
	16.0b	(*.f64 (cbrt.f64 1/2) (cbrt.f64 (/.f64 g a)))
	16.5b	(.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)))))
	36.9b	(exp.f64 (log.f64 (cbrt.f64 (/.f64 g (*.f64 a 2)))))
▶	0.8b	(/.f64 (cbrt.f64 g) (cbrt.f64 (*.f64 a 2)))
✓	15.9b	(cbrt.f64 (/.f64 g (*.f64 2 a)))

Compiler

Compiled 396 to 296 computations (25.3% saved)

localize6.0ms (0.2%)

Local error

Found 3 expressions with local error:

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

rewrite54.0ms (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 g)
2.0ms	(cbrt.f64 (*.f64 a 2))

Compiler

Compiled 925 to 548 computations (40.8% saved)

series81.0ms (2.8%)

Error

0.2b

Counts

3 → 12

Calls

3 calls:

48.0ms	(/.f64 (cbrt.f64 g) (cbrt.f64 (*.f64 a 2)))
17.0ms	(cbrt.f64 (*.f64 a 2))
12.0ms	(cbrt.f64 g)

Compiler

Compiled 443 to 374 computations (15.6% saved)

simplify109.0ms (3.8%)

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

prune27.0ms (0.9%)

Pruning

12 alts after pruning (10 fresh and 2 done)

	Pruned	Kept	Total
New	34	5	39
Fresh	2	5	7
Picked	0	1	1
Done	0	1	1
Total	36	12	48

Error

0.1b

Counts

48 → 12

Alt Table

Status	Error	Program
▶	0.8b	(*.f64 (cbrt.f64 g) (cbrt.f64 (/.f64 1/2 a)))
	34.1b	(.f64 (cbrt.f64 (sqrt.f64 g)) (/.f64 (cbrt.f64 (sqrt.f64 g)) (cbrt.f64 (.f64 a 2))))
	16.0b	(*.f64 (cbrt.f64 1/2) (cbrt.f64 (/.f64 g a)))
	1.6b	(.f64 (.f64 (cbrt.f64 (cbrt.f64 g)) (cbrt.f64 (cbrt.f64 g))) (/.f64 (cbrt.f64 (cbrt.f64 g)) (cbrt.f64 (*.f64 a 2))))
	16.5b	(.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)))))
	16.3b	(/.f64 (cbrt.f64 (/.f64 g a)) (cbrt.f64 2))
	35.6b	(.f64 (cbrt.f64 (sqrt.f64 (/.f64 g (.f64 a 2)))) (cbrt.f64 (sqrt.f64 (/.f64 g (*.f64 a 2)))))
	35.5b	(.f64 (sqrt.f64 (cbrt.f64 (/.f64 g (.f64 a 2)))) (sqrt.f64 (cbrt.f64 (/.f64 g (*.f64 a 2)))))
	35.7b	(*.f64 (/.f64 (cbrt.f64 (pow.f64 g 2/3)) (cbrt.f64 a)) (/.f64 (cbrt.f64 (cbrt.f64 g)) (cbrt.f64 2)))
	1.1b	(/.f64 (cbrt.f64 g) (*.f64 (cbrt.f64 (neg.f64 a)) (cbrt.f64 -2)))
✓	0.8b	(/.f64 (cbrt.f64 g) (cbrt.f64 (*.f64 a 2)))
✓	15.9b	(cbrt.f64 (/.f64 g (*.f64 2 a)))

Compiler

Compiled 667 to 475 computations (28.8% 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)))
0.5b	(cbrt.f64 (/.f64 1/2 a))
0.6b	(cbrt.f64 g)

rewrite65.0ms (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:

13.0ms	(*.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)

series81.0ms (2.8%)

Error

0.1b

Counts

3 → 12

Calls

3 calls:

48.0ms	(*.f64 (cbrt.f64 g) (cbrt.f64 (/.f64 1/2 a)))
14.0ms	(cbrt.f64 (/.f64 1/2 a))
13.0ms	(cbrt.f64 g)

Compiler

Compiled 453 to 384 computations (15.2% saved)

simplify89.0ms (3.1%)

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

prune32.0ms (1.1%)

Pruning

17 alts after pruning (15 fresh and 2 done)

	Pruned	Kept	Total
New	35	6	41
Fresh	0	9	9
Picked	1	0	1
Done	0	2	2
Total	36	17	53

Error

0.0b

Counts

53 → 17

Alt Table

Status	Error	Program
	35.6b	(.f64 (cbrt.f64 (sqrt.f64 (/.f64 g (.f64 a 2)))) (cbrt.f64 (sqrt.f64 (/.f64 g (*.f64 a 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))))
	16.0b	(*.f64 (cbrt.f64 1/2) (cbrt.f64 (/.f64 g a)))
	1.6b	(.f64 (.f64 (cbrt.f64 (cbrt.f64 g)) (cbrt.f64 (cbrt.f64 g))) (/.f64 (cbrt.f64 (cbrt.f64 g)) (cbrt.f64 (*.f64 a 2))))
	16.5b	(.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)))))
	16.3b	(/.f64 (cbrt.f64 (/.f64 g a)) (cbrt.f64 2))
✓	0.8b	(/.f64 (cbrt.f64 g) (cbrt.f64 (*.f64 a 2)))
	34.6b	(.f64 (.f64 (cbrt.f64 g) (cbrt.f64 (/.f64 (pow.f64 a -1/3) (cbrt.f64 a)))) (cbrt.f64 (/.f64 1/2 (cbrt.f64 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)))
✓	15.9b	(cbrt.f64 (/.f64 g (*.f64 2 a)))
▶	0.8b	(.f64 (cbrt.f64 g) (.f64 (cbrt.f64 (/.f64 -1 a)) (cbrt.f64 -1/2)))
	35.5b	(.f64 (sqrt.f64 (cbrt.f64 (/.f64 g (.f64 a 2)))) (sqrt.f64 (cbrt.f64 (/.f64 g (*.f64 a 2)))))
	34.1b	(.f64 (cbrt.f64 (sqrt.f64 g)) (/.f64 (cbrt.f64 (sqrt.f64 g)) (cbrt.f64 (.f64 a 2))))
	35.7b	(*.f64 (/.f64 (cbrt.f64 (pow.f64 g 2/3)) (cbrt.f64 a)) (/.f64 (cbrt.f64 (cbrt.f64 g)) (cbrt.f64 2)))
	1.1b	(/.f64 (cbrt.f64 g) (*.f64 (cbrt.f64 (neg.f64 a)) (cbrt.f64 -2)))
	0.9b	(.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 (sqrt.f64 1/2)) (cbrt.f64 (/.f64 (sqrt.f64 1/2) a))))

Compiler

Compiled 782 to 586 computations (25.1% saved)

localize9.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.4b	(.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)

rewrite84.0ms (2.9%)

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:

10.0ms	(*.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)

series136.0ms (4.7%)

Error

0.0b

Counts

4 → 15

Calls

4 calls:

73.0ms	(.f64 (cbrt.f64 g) (.f64 (cbrt.f64 (/.f64 -1 a)) (cbrt.f64 -1/2)))
30.0ms	(*.f64 (cbrt.f64 (/.f64 -1 a)) (cbrt.f64 -1/2))
16.0ms	(cbrt.f64 (/.f64 -1 a))
12.0ms	(cbrt.f64 g)

Compiler

Compiled 635 to 551 computations (13.2% saved)

simplify98.0ms (3.4%)

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

prune41.0ms (1.4%)

Pruning

16 alts after pruning (13 fresh and 3 done)

	Pruned	Kept	Total
New	67	3	70
Fresh	4	10	14
Picked	0	1	1
Done	0	2	2
Total	71	16	87

Error

0.0b

Counts

87 → 16

Alt Table

Status	Error	Program
	35.6b	(.f64 (cbrt.f64 (sqrt.f64 (/.f64 g (.f64 a 2)))) (cbrt.f64 (sqrt.f64 (/.f64 g (*.f64 a 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))))
	1.4b	(.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))))))
	16.3b	(/.f64 (cbrt.f64 (/.f64 g a)) (cbrt.f64 2))
	0.8b	(/.f64 (cbrt.f64 g) (cbrt.f64 (*.f64 a 2)))
	34.6b	(.f64 (.f64 (cbrt.f64 g) (cbrt.f64 (/.f64 (pow.f64 a -1/3) (cbrt.f64 a)))) (cbrt.f64 (/.f64 1/2 (cbrt.f64 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)))
	15.9b	(cbrt.f64 (/.f64 g (*.f64 2 a)))
	0.8b	(.f64 (cbrt.f64 g) (.f64 (cbrt.f64 (/.f64 -1 a)) (cbrt.f64 -1/2)))
	35.5b	(.f64 (sqrt.f64 (cbrt.f64 (/.f64 g (.f64 a 2)))) (sqrt.f64 (cbrt.f64 (/.f64 g (*.f64 a 2)))))
	35.7b	(*.f64 (/.f64 (cbrt.f64 (pow.f64 g 2/3)) (cbrt.f64 a)) (/.f64 (cbrt.f64 (cbrt.f64 g)) (cbrt.f64 2)))
	1.6b	(.f64 (.f64 (cbrt.f64 (cbrt.f64 g)) (cbrt.f64 (cbrt.f64 g))) (/.f64 (cbrt.f64 (cbrt.f64 g)) (cbrt.f64 (*.f64 a 2))))
	33.4b	(.f64 (cbrt.f64 g) (.f64 (cbrt.f64 (/.f64 1 (sqrt.f64 a))) (*.f64 (cbrt.f64 -1/2) (cbrt.f64 (/.f64 -1 (sqrt.f64 a))))))
	1.1b	(/.f64 (cbrt.f64 g) (*.f64 (cbrt.f64 (neg.f64 a)) (cbrt.f64 -2)))
	15.9b	(.f64 (cbrt.f64 -1/2) (.f64 (pow.f64 (cbrt.f64 -1) 2) (cbrt.f64 (/.f64 (/.f64 1 a) (/.f64 -1 g)))))
	0.9b	(.f64 (cbrt.f64 g) (.f64 (cbrt.f64 (sqrt.f64 1/2)) (cbrt.f64 (/.f64 (sqrt.f64 1/2) a))))

Compiler

Compiled 1019 to 735 computations (27.9% saved)

regimes784.0ms (27.3%)

Accuracy

Total 0.8b remaining (91.5%)

Threshold costs 0.8b (91.5%)

Compiler

Compiled 11255 to 8722 computations (22.5% 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	10	14
1	14	14
2	13	14

end0.0ms (0%)

Compiler: Compiled 11 to 9 computations (18.2% saved)

sample919.0ms (32%)

Algorithm

1×

intervals

Results

292.0ms

8000×

body

128

valid

Compiler

Compiled 267 to 213 computations (20.2% saved)

Details

analyze51.0ms (1.8%)

sample19.0ms (0.7%)

simplify10.0ms (0.3%)

prune2.0ms (0.1%)

localize8.0ms (0.3%)

rewrite15.0ms (0.5%)

series46.0ms (1.6%)

simplify73.0ms (2.5%)

prune22.0ms (0.8%)

localize6.0ms (0.2%)

rewrite54.0ms (1.9%)

series81.0ms (2.8%)

simplify109.0ms (3.8%)

prune27.0ms (0.9%)

localize6.0ms (0.2%)

rewrite65.0ms (2.3%)

series81.0ms (2.8%)

simplify89.0ms (3.1%)

prune32.0ms (1.1%)

localize9.0ms (0.3%)

rewrite84.0ms (2.9%)

series136.0ms (4.7%)

simplify98.0ms (3.4%)

prune41.0ms (1.4%)

regimes784.0ms (27.3%)

simplify3.0ms (0.1%)

end0.0ms (0%)

sample919.0ms (32%)

Profiling