Details

analyze44.0ms (1.2%)

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 (0.4%)

Algorithm

1×

intervals

Results

7.0ms

256×

body

128

valid

Compiler

Compiled 19 to 15 computations (21.1% saved)

simplify233.0ms (6.6%)

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

14.0b

Counts

1 → 1

Alt Table

Status	Error	Program
▶	14.0b	(cbrt.f64 (/.f64 g (*.f64 2 a)))

Compiler

Compiled 16 to 12 computations (25% saved)

localize5.0ms (0.2%)

Local error

Found 1 expressions with local error:

13.6b

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

rewrite23.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Error

0.1b

Rules

7×	`cbrt-prod_binary64`
3×	`add-cube-cbrt_binary64` `add-sqr-sqrt_binary64` `times-frac_binary64` `*-un-lft-identity_binary64`
1×	`pow1/3_binary64` `pow1_binary64` `add-log-exp_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `cbrt-div_binary64` `div-inv_binary64`

Counts

1 → 16

Calls

1 calls:

4.0ms

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

Compiler

Compiled 196 to 140 computations (28.6% saved)

series56.0ms (1.6%)

Error

5.0b

Counts

1 → 6

Calls

1 calls:

50.0ms

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

Compiler

Compiled 253 to 217 computations (14.2% saved)

simplify72.0ms (2%)

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

prune28.0ms (0.8%)

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
	14.4b	(.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)))))
	14.1b	(*.f64 (cbrt.f64 (/.f64 g a)) (cbrt.f64 1/2))
	0.9b	(*.f64 (cbrt.f64 g) (cbrt.f64 (/.f64 1/2 a)))
▶	0.8b	(/.f64 (cbrt.f64 g) (cbrt.f64 (*.f64 a 2)))
	38.9b	(.f64 (cbrt.f64 (.f64 1/2 (pow.f64 g 2/3))) (cbrt.f64 (/.f64 (cbrt.f64 g) a)))
	14.7b	(.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)))))
	39.8b	(.f64 (cbrt.f64 (sqrt.f64 (/.f64 g (.f64 a 2)))) (cbrt.f64 (sqrt.f64 (/.f64 g (*.f64 a 2)))))
✓	14.0b	(cbrt.f64 (/.f64 g (*.f64 2 a)))

Compiler

Compiled 377 to 279 computations (26% saved)

localize7.0ms (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)
0.7b	(cbrt.f64 (*.f64 a 2))

rewrite72.0ms (2%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

26×	`cbrt-prod_binary64`
24×	`times-frac_binary64`
21×	`add-cube-cbrt_binary64` `add-sqr-sqrt_binary64` `*-un-lft-identity_binary64`
6×	`associate-/l*_binary64`
5×	`add-exp-log_binary64`

Counts

3 → 66

Calls

3 calls:

4.0ms	(/.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)

series101.0ms (2.8%)

Error

0.2b

Counts

3 → 12

Calls

3 calls:

58.0ms	(/.f64 (cbrt.f64 g) (cbrt.f64 (*.f64 a 2)))
19.0ms	(cbrt.f64 (*.f64 a 2))
17.0ms	(cbrt.f64 g)

Compiler

Compiled 443 to 374 computations (15.6% saved)

simplify112.0ms (3.2%)

Algorithm

1×	egg-herbie

Rules

639×	`associate-/r*_binary64`
461×	`associate-l_binary64`
373×	`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	1488	1141
4	4126	1137
5	4988	1137
6	4951	1137

prune40.0ms (1.1%)

Pruning

12 alts after pruning (10 fresh and 2 done)

	Pruned	Kept	Total
New	33	6	39
Fresh	2	4	6
Picked	0	1	1
Done	0	1	1
Total	35	12	47

Error

0.1b

Counts

47 → 12

Alt Table

Status	Error	Program
	14.4b	(.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)))))
	14.1b	(*.f64 (cbrt.f64 (/.f64 g a)) (cbrt.f64 1/2))
	14.5b	(/.f64 (cbrt.f64 (/.f64 g a)) (cbrt.f64 2))
▶	0.9b	(*.f64 (cbrt.f64 g) (cbrt.f64 (/.f64 1/2 a)))
✓	0.8b	(/.f64 (cbrt.f64 g) (cbrt.f64 (*.f64 a 2)))
	1.2b	(/.f64 (cbrt.f64 g) (*.f64 (cbrt.f64 (neg.f64 a)) (cbrt.f64 -2)))
	14.7b	(.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)))))
✓	14.0b	(cbrt.f64 (/.f64 g (*.f64 2 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))))
	1.5b	(.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)))))
	14.3b	(cbrt.f64 (pow.f64 (/.f64 (cbrt.f64 g) (cbrt.f64 (*.f64 a 2))) 3))
	36.2b	(.f64 (cbrt.f64 (sqrt.f64 g)) (/.f64 (cbrt.f64 (sqrt.f64 g)) (cbrt.f64 (.f64 a 2))))

Compiler

Compiled 687 to 493 computations (28.2% 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 (/.f64 1/2 a))
0.6b	(cbrt.f64 g)

rewrite94.0ms (2.7%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

39×	`cbrt-prod_binary64`
35×	`add-sqr-sqrt_binary64`
21×	`add-cube-cbrt_binary64` `*-un-lft-identity_binary64`
20×	`times-frac_binary64`
16×	`associate-r_binary64`

Counts

3 → 74

Calls

3 calls:

10.0ms	(*.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)

series91.0ms (2.6%)

Error

0.1b

Counts

3 → 12

Calls

3 calls:

49.0ms	(*.f64 (cbrt.f64 g) (cbrt.f64 (/.f64 1/2 a)))
20.0ms	(cbrt.f64 (/.f64 1/2 a))
15.0ms	(cbrt.f64 g)

Compiler

Compiled 453 to 384 computations (15.2% saved)

simplify94.0ms (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

prune40.0ms (1.1%)

Pruning

13 alts after pruning (10 fresh and 3 done)

	Pruned	Kept	Total
New	37	4	41
Fresh	3	6	9
Picked	0	1	1
Done	0	2	2
Total	40	13	53

Error

0.0b

Counts

53 → 13

Alt Table

Status	Error	Program
	1.0b	(.f64 (cbrt.f64 g) (.f64 (cbrt.f64 (sqrt.f64 1/2)) (cbrt.f64 (/.f64 (sqrt.f64 1/2) a))))
	14.4b	(.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)))))
	14.1b	(*.f64 (cbrt.f64 (/.f64 g a)) (cbrt.f64 1/2))
✓	0.9b	(*.f64 (cbrt.f64 g) (cbrt.f64 (/.f64 1/2 a)))
✓	0.8b	(/.f64 (cbrt.f64 g) (cbrt.f64 (*.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)))
	1.2b	(/.f64 (cbrt.f64 g) (*.f64 (cbrt.f64 (neg.f64 a)) (cbrt.f64 -2)))
	0.9b	(.f64 (cbrt.f64 g) (.f64 (cbrt.f64 (/.f64 -1 a)) (cbrt.f64 -1/2)))
	1.0b	(.f64 (.f64 (cbrt.f64 g) (cbrt.f64 (sqrt.f64 1/2))) (cbrt.f64 (/.f64 (sqrt.f64 1/2) a)))
✓	14.0b	(cbrt.f64 (/.f64 g (*.f64 2 a)))
	1.5b	(.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)))))
	14.3b	(cbrt.f64 (pow.f64 (/.f64 (cbrt.f64 g) (cbrt.f64 (*.f64 a 2))) 3))
	36.2b	(.f64 (cbrt.f64 (sqrt.f64 g)) (/.f64 (cbrt.f64 (sqrt.f64 g)) (cbrt.f64 (.f64 a 2))))

Compiler

Compiled 637 to 483 computations (24.2% saved)

localize12.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.6b	(cbrt.f64 g)
0.6b	(cbrt.f64 (/.f64 (cbrt.f64 1/2) a))
1.0b	(cbrt.f64 (*.f64 (cbrt.f64 1/2) (cbrt.f64 1/2)))
1.0b	(*.f64 (cbrt.f64 1/2) (cbrt.f64 1/2))

rewrite136.0ms (3.8%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

51×	`cbrt-prod_binary64`
34×	`add-sqr-sqrt_binary64`
26×	`add-cube-cbrt_binary64` `*-un-lft-identity_binary64`
18×	`times-frac_binary64`
11×	`pow1_binary64`

Counts

4 → 91

Calls

4 calls:

6.0ms	(*.f64 (cbrt.f64 1/2) (cbrt.f64 1/2))
4.0ms	(cbrt.f64 (*.f64 (cbrt.f64 1/2) (cbrt.f64 1/2)))
3.0ms	(cbrt.f64 (/.f64 (cbrt.f64 1/2) a))
1.0ms	(cbrt.f64 g)

Compiler

Compiled 1818 to 1484 computations (18.4% saved)

series48.0ms (1.3%)

Error

0.0b

Counts

4 → 6

Calls

4 calls:

25.0ms	(cbrt.f64 (/.f64 (cbrt.f64 1/2) a))
17.0ms	(cbrt.f64 g)
0.0ms	(*.f64 (cbrt.f64 1/2) (cbrt.f64 1/2))
0.0ms	(cbrt.f64 (*.f64 (cbrt.f64 1/2) (cbrt.f64 1/2)))

Compiler

Compiled 361 to 325 computations (10% saved)

simplify146.0ms (4.1%)

Algorithm

1×	egg-herbie

Rules

457×	`log-prod_binary64`
442×	`associate-/l*_binary64`
352×	`times-frac_binary64`
297×	`distribute-rgt-in_binary64`
257×	`associate-*l/_binary64`

Counts

97 → 65

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	146	1249
1	217	1225
2	486	1213
3	1186	1163
4	3286	987
5	4084	969
6	4839	969
7	4870	969

prune59.0ms (1.7%)

Pruning

15 alts after pruning (11 fresh and 4 done)

	Pruned	Kept	Total
New	61	4	65
Fresh	2	7	9
Picked	0	1	1
Done	0	3	3
Total	63	15	78

Error

0.0b

Counts

78 → 15

Alt Table

Status	Error	Program
	14.4b	(.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)))))
	14.1b	(*.f64 (cbrt.f64 (/.f64 g a)) (cbrt.f64 1/2))
	0.9b	(.f64 (.f64 (cbrt.f64 g) (cbrt.f64 (*.f64 (sqrt.f64 (cbrt.f64 1/2)) (pow.f64 (sqrt.f64 (cbrt.f64 1/2)) 3)))) (cbrt.f64 (/.f64 (cbrt.f64 1/2) a)))
	0.9b	(*.f64 (cbrt.f64 g) (cbrt.f64 (/.f64 1/2 a)))
	0.8b	(/.f64 (cbrt.f64 g) (cbrt.f64 (*.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)))
	1.2b	(/.f64 (cbrt.f64 g) (*.f64 (cbrt.f64 (neg.f64 a)) (cbrt.f64 -2)))
	1.2b	(.f64 (.f64 (cbrt.f64 g) (cbrt.f64 (.f64 (cbrt.f64 1/2) (cbrt.f64 1/2)))) (.f64 (cbrt.f64 (cbrt.f64 (sqrt.f64 1/2))) (cbrt.f64 (/.f64 (cbrt.f64 (sqrt.f64 1/2)) a))))
	0.9b	(.f64 (.f64 (cbrt.f64 g) (cbrt.f64 (.f64 (cbrt.f64 1/2) (cbrt.f64 1/2)))) (.f64 (cbrt.f64 (pow.f64 (cbrt.f64 1/2) 2/3)) (cbrt.f64 (/.f64 (cbrt.f64 (cbrt.f64 1/2)) a))))
	33.7b	(.f64 (.f64 (cbrt.f64 g) (cbrt.f64 (.f64 (cbrt.f64 1/2) (cbrt.f64 1/2)))) (.f64 (cbrt.f64 (/.f64 (pow.f64 (cbrt.f64 1/2) 2/3) (sqrt.f64 a))) (cbrt.f64 (/.f64 (cbrt.f64 (cbrt.f64 1/2)) (sqrt.f64 a)))))
	0.9b	(.f64 (cbrt.f64 g) (.f64 (cbrt.f64 (/.f64 -1 a)) (cbrt.f64 -1/2)))
	1.0b	(.f64 (.f64 (cbrt.f64 g) (cbrt.f64 (sqrt.f64 1/2))) (cbrt.f64 (/.f64 (sqrt.f64 1/2) a)))
	14.0b	(cbrt.f64 (/.f64 g (*.f64 2 a)))
	1.5b	(.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)))))
	36.2b	(.f64 (cbrt.f64 (sqrt.f64 g)) (/.f64 (cbrt.f64 (sqrt.f64 g)) (cbrt.f64 (.f64 a 2))))

Compiler

Compiled 929 to 772 computations (16.9% saved)

regimes1.2s (34.4%)

Accuracy

Total 0.8b remaining (94.4%)

Threshold costs 0.8b (94.4%)

Compiler

Compiled 14614 to 11603 computations (20.6% 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)

sample788.0ms (22.2%)

Algorithm

1×

intervals

Results

232.0ms

8000×

body

128

valid

Compiler

Compiled 270 to 225 computations (16.7% saved)

Details

analyze44.0ms (1.2%)

sample15.0ms (0.4%)

simplify233.0ms (6.6%)

prune2.0ms (0.1%)

localize5.0ms (0.2%)

rewrite23.0ms (0.7%)

series56.0ms (1.6%)

simplify72.0ms (2%)

prune28.0ms (0.8%)

localize7.0ms (0.2%)

rewrite72.0ms (2%)

series101.0ms (2.8%)

simplify112.0ms (3.2%)

prune40.0ms (1.1%)

localize6.0ms (0.2%)

rewrite94.0ms (2.7%)

series91.0ms (2.6%)

simplify94.0ms (2.6%)

prune40.0ms (1.1%)

localize12.0ms (0.3%)

rewrite136.0ms (3.8%)

series48.0ms (1.3%)

simplify146.0ms (4.1%)

prune59.0ms (1.7%)

regimes1.2s (34.4%)

simplify3.0ms (0.1%)

end1.0ms (0%)

sample788.0ms (22.2%)

Profiling