Details

analyze483.0ms (20.3%)

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
0%	99.9%	0.1%	3
0%	99.9%	0.1%	4
0%	99.9%	0.1%	5
0%	99.9%	0.1%	6
12.5%	87.4%	0.1%	7
37.4%	62.4%	0.1%	8
40.6%	56.9%	2.5%	9
45.2%	50.7%	4%	10
57.7%	33.5%	8.7%	11
59.7%	29.4%	11%	12
62%	25%	13%	13
68.3%	17.4%	14.4%	14

Compiler

Compiled 14 to 12 computations (14.3% saved)

sample17.0ms (0.7%)

Algorithm

1×

intervals

Results

9.0ms	253×	body	128	valid
0.0ms	12×	body	128	invalid
0.0ms	2×	body	512	valid
0.0ms	1×	body	256	valid

Compiler

Compiled 27 to 26 computations (3.7% saved)

simplify171.0ms (7.2%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (4.0ms)

Iter	Nodes	Cost
0	135	10
1	135	10

prune4.0ms (0.1%)

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

Merged error: 0.0b

Counts

2 → 2

Compiler

Compiled 27 to 25 computations (7.4% saved)

localize8.0ms (0.3%)

Local error

Found 1 expressions with local error:

0.0b	(*.f64 d1 (+.f64 d2 (+.f64 d3 37)))

rewrite11.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

8×	`*-un-lft-identity_binary64_4795`
5×	`associate-r_binary64_4737` `add-sqr-sqrt_binary64_4816`
3×	`pow1_binary64_4853` `distribute-lft-out_binary64_4748` `add-exp-log_binary64_4830` `associate-l_binary64_4738` `add-cbrt-cube_binary64_4828` `add-cube-cbrt_binary64_4827`
2×	`associate-*r/_binary64_4739`
1×	`unswap-sqr_binary64_4763` `flip3-+_binary64_4798` `flip-+_binary64_4769` `distribute-rgt-in_binary64_4747` `*-commutative_binary64_4728` `add-log-exp_binary64_4831` `cbrt-unprod_binary64_4825` `pow-prod-down_binary64_4863` `prod-exp_binary64_4841` `distribute-lft-in_binary64_4746`

Counts

1 → 24

Calls

1 calls:

9.0ms

(*.f64 d1 (+.f64 d2 (+.f64 d3 37)))

series59.0ms (2.5%)

Counts

1 → 3

Calls

1 calls:

58.0ms

(*.f64 d1 (+.f64 d2 (+.f64 d3 37)))

simplify66.0ms (2.8%)

Algorithm

1×	egg-herbie

Counts

27 → 27

Iterations

Useful iterations: 0 (57.0ms)

Iter	Nodes	Cost
0	4713	321
1	4713	321

prune24.0ms (1%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	24	3	27
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	24	5	29

Merged error: 0b

Counts

29 → 5

Compiler

Compiled 399 to 266 computations (33.3% saved)

localize8.0ms (0.3%)

Local error

Found 2 expressions with local error:

0.0b	(*.f64 d1 (+.f64 d3 37))
0.0b	(+.f64 (.f64 d1 d2) (.f64 d1 (+.f64 d3 37)))

rewrite13.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

6×	`*-un-lft-identity_binary64_4795` `add-sqr-sqrt_binary64_4816`
4×	`pow1_binary64_4853` `add-exp-log_binary64_4830` `associate-r_binary64_4737` `add-cbrt-cube_binary64_4828` `add-log-exp_binary64_4831` `add-cube-cbrt_binary64_4827`
3×	`associate-l_binary64_4738`
2×	`associate-+r+_binary64_4729` `associate-*r/_binary64_4739` `flip3-+_binary64_4798` `flip-+_binary64_4769` `distribute-lft-out_binary64_4748` `distribute-rgt-in_binary64_4747` `distribute-lft-in_binary64_4746`
1×	`sum-log_binary64_4883` `unswap-sqr_binary64_4763` `*-commutative_binary64_4728` `cbrt-unprod_binary64_4825` `+-commutative_binary64_4727` `pow-prod-down_binary64_4863` `prod-exp_binary64_4841`

Counts

2 → 37

Calls

2 calls:

6.0ms	(*.f64 d1 (+.f64 d3 37))
4.0ms	(+.f64 (.f64 d1 d2) (.f64 d1 (+.f64 d3 37)))

series105.0ms (4.4%)

Counts

2 → 6

Calls

2 calls:

58.0ms	(+.f64 (.f64 d1 d2) (.f64 d1 (+.f64 d3 37)))
47.0ms	(*.f64 d1 (+.f64 d3 37))

simplify63.0ms (2.6%)

Algorithm

1×	egg-herbie

Counts

43 → 43

Iterations

Useful iterations: 0 (53.0ms)

Iter	Nodes	Cost
0	4997	474
1	4997	474

prune35.0ms (1.5%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	42	1	43
Fresh	1	2	3
Picked	1	0	1
Done	0	1	1
Total	44	4	48

Merged error: 0b

Counts

48 → 4

Compiler

Compiled 603 to 352 computations (41.6% saved)

localize6.0ms (0.3%)

Local error

Found 2 expressions with local error:

0.0b	(*.f64 d1 (+.f64 d2 d3))
0.0b	(+.f64 (.f64 d1 (+.f64 d2 d3)) (.f64 37 d1))

rewrite16.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

6×	`*-un-lft-identity_binary64_4795` `add-sqr-sqrt_binary64_4816`
4×	`pow1_binary64_4853` `add-exp-log_binary64_4830` `associate-r_binary64_4737` `add-cbrt-cube_binary64_4828` `add-log-exp_binary64_4831` `add-cube-cbrt_binary64_4827`
3×	`associate-l_binary64_4738`
2×	`associate-*r/_binary64_4739` `flip3-+_binary64_4798` `flip-+_binary64_4769` `distribute-rgt-in_binary64_4747` `associate-+l+_binary64_4730` `distribute-lft-in_binary64_4746`
1×	`sum-log_binary64_4883` `unswap-sqr_binary64_4763` `distribute-lft-out_binary64_4748` `*-commutative_binary64_4728` `cbrt-unprod_binary64_4825` `+-commutative_binary64_4727` `pow-prod-down_binary64_4863` `prod-exp_binary64_4841`

Counts

2 → 36

Calls

2 calls:

7.0ms	(+.f64 (.f64 d1 (+.f64 d2 d3)) (.f64 37 d1))
6.0ms	(*.f64 d1 (+.f64 d2 d3))

series115.0ms (4.8%)

Counts

2 → 6

Calls

2 calls:

60.0ms	(+.f64 (.f64 d1 (+.f64 d2 d3)) (.f64 37 d1))
55.0ms	(*.f64 d1 (+.f64 d2 d3))

simplify48.0ms (2%)

Algorithm

1×	egg-herbie

Counts

42 → 42

Iterations

Useful iterations: 0 (38.0ms)

Iter	Nodes	Cost
0	5478	461

prune29.0ms (1.2%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	42	0	42
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	42	4	46

Merged error: 0b

Counts

46 → 4

Compiler

Compiled 583 to 286 computations (50.9% saved)

localize8.0ms (0.4%)

Local error

Found 3 expressions with local error:

0.0b	(*.f64 (+.f64 d3 5) d1)
0.0b	(+.f64 (.f64 d1 d2) (.f64 (+.f64 d3 5) d1))
0.1b	(+.f64 (+.f64 (.f64 d1 d2) (.f64 (+.f64 d3 5) d1)) (*.f64 d1 32))

rewrite24.0ms (1%)

Algorithm

1×	rewrite-expression-head

Rules

10×	`add-log-exp_binary64_4831`
7×	`*-un-lft-identity_binary64_4795` `add-sqr-sqrt_binary64_4816`
5×	`pow1_binary64_4853` `add-exp-log_binary64_4830` `add-cbrt-cube_binary64_4828` `add-cube-cbrt_binary64_4827`
4×	`sum-log_binary64_4883` `associate-l_binary64_4738`
3×	`flip3-+_binary64_4798` `flip-+_binary64_4769` `associate-r_binary64_4737`
2×	`associate-*l/_binary64_4740` `+-commutative_binary64_4727`
1×	`unswap-sqr_binary64_4763` `distribute-lft-out_binary64_4748` `*-commutative_binary64_4728` `associate-+l+_binary64_4730` `cbrt-unprod_binary64_4825` `pow-prod-down_binary64_4863` `prod-exp_binary64_4841`

Counts

3 → 45

Calls

3 calls:

8.0ms	(*.f64 (+.f64 d3 5) d1)
7.0ms	(+.f64 (+.f64 (.f64 d1 d2) (.f64 (+.f64 d3 5) d1)) (*.f64 d1 32))
5.0ms	(+.f64 (.f64 d1 d2) (.f64 (+.f64 d3 5) d1))

series159.0ms (6.7%)

Counts

3 → 9

Calls

3 calls:

62.0ms	(+.f64 (+.f64 (.f64 d1 d2) (.f64 (+.f64 d3 5) d1)) (*.f64 d1 32))
54.0ms	(+.f64 (.f64 d1 d2) (.f64 (+.f64 d3 5) d1))
43.0ms	(*.f64 (+.f64 d3 5) d1)

simplify49.0ms (2.1%)

Algorithm

1×	egg-herbie

Counts

54 → 54

Iterations

Useful iterations: 0 (37.0ms)

Iter	Nodes	Cost
0	5006	688

prune43.0ms (1.8%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	53	1	54
Fresh	1	0	1
Picked	0	1	1
Done	0	2	2
Total	54	4	58

Merged error: 0b

Counts

58 → 4

Compiler

Compiled 881 to 541 computations (38.6% saved)

regimes116.0ms (4.9%)

Compiler: Compiled 1006 to 822 computations (18.3% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	13	13
1	13	13

end0.0ms (0%)

sample702.0ms (29.5%)

Algorithm

1×

intervals

Results

282.0ms	7958×	body	128	valid
26.0ms	698×	body	128	invalid
2.0ms	17×	body	1024	valid
1.0ms	14×	body	512	valid
1.0ms	11×	body	256	valid

Compiler

Compiled 216 to 177 computations (18.1% saved)

Details

analyze483.0ms (20.3%)

sample17.0ms (0.7%)

simplify171.0ms (7.2%)

prune4.0ms (0.1%)

localize8.0ms (0.3%)

rewrite11.0ms (0.4%)

series59.0ms (2.5%)

simplify66.0ms (2.8%)

prune24.0ms (1%)

localize8.0ms (0.3%)

rewrite13.0ms (0.6%)

series105.0ms (4.4%)

simplify63.0ms (2.6%)

prune35.0ms (1.5%)

localize6.0ms (0.3%)

rewrite16.0ms (0.7%)

series115.0ms (4.8%)

simplify48.0ms (2%)

prune29.0ms (1.2%)

localize8.0ms (0.4%)

rewrite24.0ms (1%)

series159.0ms (6.7%)

simplify49.0ms (2.1%)

prune43.0ms (1.8%)

regimes116.0ms (4.9%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample702.0ms (29.5%)

Profiling