Details

analyze311.0ms (12.6%)

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)

sample18.0ms (0.7%)

Algorithm

1×

intervals

Results

9.0ms	255×	body	128	valid
1.0ms	23×	body	128	invalid
0.0ms	1×	body	512	valid

Compiler

Compiled 27 to 26 computations (3.7% saved)

simplify96.0ms (3.9%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (4.0ms)

Iter	Nodes	Cost
0	135	10
1	135	10

prune8.0ms (0.3%)

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

Error

0.0b

Counts

2 → 2

Compiler

Compiled 27 to 25 computations (7.4% saved)

localize5.0ms (0.2%)

Local error

Found 1 expressions with local error:

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

rewrite12.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

8×	`*-un-lft-identity_binary64_4170`
5×	`add-sqr-sqrt_binary64_4192` `associate-r_binary64_4110`
3×	`pow1_binary64_4231` `associate-l_binary64_4111` `add-exp-log_binary64_4208` `add-cbrt-cube_binary64_4206` `distribute-lft-out_binary64_4121` `add-cube-cbrt_binary64_4205`
2×	`associate-*r/_binary64_4112`
1×	`distribute-lft-in_binary64_4119` `distribute-rgt-in_binary64_4120` `prod-exp_binary64_4219` `cbrt-unprod_binary64_4203` `flip-+_binary64_4144` `flip3-+_binary64_4173` `*-commutative_binary64_4101` `pow-prod-down_binary64_4241` `add-log-exp_binary64_4209` `unswap-sqr_binary64_4138`

Counts

1 → 24

Calls

1 calls:

10.0ms

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

series28.0ms (1.1%)

Counts

1 → 3

Calls

1 calls:

28.0ms

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

simplify77.0ms (3.1%)

Algorithm

1×	egg-herbie

Counts

27 → 27

Iterations

Useful iterations: 0 (68.0ms)

Iter	Nodes	Cost
0	4981	321
1	4981	321

prune25.0ms (1%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	25	2	27
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	25	4	29

Error

Counts

29 → 4

Compiler

Compiled 369 to 243 computations (34.1% saved)

localize11.0ms (0.5%)

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

rewrite22.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Rules

10×	`add-log-exp_binary64_4209`
7×	`add-sqr-sqrt_binary64_4192` `*-un-lft-identity_binary64_4170`
5×	`pow1_binary64_4231` `add-exp-log_binary64_4208` `add-cbrt-cube_binary64_4206` `add-cube-cbrt_binary64_4205`
4×	`associate-l_binary64_4111` `sum-log_binary64_4261`
3×	`flip-+_binary64_4144` `associate-r_binary64_4110` `flip3-+_binary64_4173`
2×	`associate-*l/_binary64_4113` `+-commutative_binary64_4100`
1×	`prod-exp_binary64_4219` `cbrt-unprod_binary64_4203` `*-commutative_binary64_4101` `pow-prod-down_binary64_4241` `associate-+l+_binary64_4103` `distribute-lft-out_binary64_4121` `unswap-sqr_binary64_4138`

Counts

3 → 45

Calls

3 calls:

8.0ms	(+.f64 (+.f64 (.f64 d1 d2) (.f64 (+.f64 d3 5) d1)) (*.f64 d1 32))
7.0ms	(*.f64 (+.f64 d3 5) d1)
4.0ms	(+.f64 (.f64 d1 d2) (.f64 (+.f64 d3 5) d1))

series80.0ms (3.2%)

Counts

3 → 9

Calls

3 calls:

31.0ms	(+.f64 (+.f64 (.f64 d1 d2) (.f64 (+.f64 d3 5) d1)) (*.f64 d1 32))
30.0ms	(+.f64 (.f64 d1 d2) (.f64 (+.f64 d3 5) d1))
20.0ms	(*.f64 (+.f64 d3 5) d1)

simplify68.0ms (2.8%)

Algorithm

1×	egg-herbie

Counts

54 → 54

Iterations

Useful iterations: 0 (56.0ms)

Iter	Nodes	Cost
0	5048	688

prune46.0ms (1.9%)

Pruning

4 alts after pruning (2 fresh and 2 done)

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

Error

Counts

58 → 4

Compiler

Compiled 915 to 569 computations (37.8% saved)

localize8.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.0b	(sqrt.f64 (+.f64 d2 (+.f64 d3 37)))
0.0b	(sqrt.f64 (+.f64 d2 (+.f64 d3 37)))
0.2b	(*.f64 d1 (sqrt.f64 (+.f64 d2 (+.f64 d3 37))))
0.2b	(.f64 (.f64 d1 (sqrt.f64 (+.f64 d2 (+.f64 d3 37)))) (sqrt.f64 (+.f64 d2 (+.f64 d3 37))))

rewrite49.0ms (2%)

Algorithm

1×	rewrite-expression-head

Rules

31×	`*-un-lft-identity_binary64_4170`
21×	`sqrt-prod_binary64_4186`
18×	`sqrt-div_binary64_4187`
17×	`add-sqr-sqrt_binary64_4192`
16×	`associate-r_binary64_4110`
13×	`pow1_binary64_4231`
12×	`distribute-lft-out_binary64_4121`
11×	`add-exp-log_binary64_4208` `add-cbrt-cube_binary64_4206` `add-cube-cbrt_binary64_4205`
10×	`associate-*r/_binary64_4112`
9×	`flip-+_binary64_4144` `flip3-+_binary64_4173`
4×	`frac-times_binary64_4180` `associate-l_binary64_4111` `prod-exp_binary64_4219` `cbrt-unprod_binary64_4203` `pow-prod-down_binary64_4241` `add-log-exp_binary64_4209`
2×	`associate-l/_binary64_4113` `pow1/2_binary64_4250` `sqrt-pow1_binary64_4188` `-commutative_binary64_4101` `rem-sqrt-square_binary64_4183` `unswap-sqr_binary64_4138`

Counts

4 → 91

Calls

4 calls:

20.0ms	(.f64 (.f64 d1 (sqrt.f64 (+.f64 d2 (+.f64 d3 37)))) (sqrt.f64 (+.f64 d2 (+.f64 d3 37))))
10.0ms	(*.f64 d1 (sqrt.f64 (+.f64 d2 (+.f64 d3 37))))
6.0ms	(sqrt.f64 (+.f64 d2 (+.f64 d3 37)))
6.0ms	(sqrt.f64 (+.f64 d2 (+.f64 d3 37)))

series137.0ms (5.6%)

Counts

4 → 12

Calls

4 calls:

61.0ms	(*.f64 d1 (sqrt.f64 (+.f64 d2 (+.f64 d3 37))))
29.0ms	(.f64 (.f64 d1 (sqrt.f64 (+.f64 d2 (+.f64 d3 37)))) (sqrt.f64 (+.f64 d2 (+.f64 d3 37))))
25.0ms	(sqrt.f64 (+.f64 d2 (+.f64 d3 37)))
23.0ms	(sqrt.f64 (+.f64 d2 (+.f64 d3 37)))

simplify76.0ms (3.1%)

Algorithm

1×	egg-herbie

Counts

103 → 103

Iterations

Useful iterations: 0 (53.0ms)

Iter	Nodes	Cost
0	4945	1797
1	4945	1797

prune106.0ms (4.3%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	103	0	103
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	103	4	107

Error

Counts

107 → 4

Compiler

Compiled 2167 to 1468 computations (32.3% saved)

localize10.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.0b	(*.f64 (+.f64 d3 37) (+.f64 d3 37))
2.9b	(-.f64 (.f64 d2 d2) (.f64 (+.f64 d3 37) (+.f64 d3 37)))
6.8b	(.f64 d1 (-.f64 (.f64 d2 d2) (*.f64 (+.f64 d3 37) (+.f64 d3 37))))
16.7b	(/.f64 (.f64 d1 (-.f64 (.f64 d2 d2) (*.f64 (+.f64 d3 37) (+.f64 d3 37)))) (-.f64 d2 (+.f64 d3 37)))

rewrite46.0ms (1.8%)

Algorithm

1×	rewrite-expression-head

Rules

36×	`*-un-lft-identity_binary64_4170`
20×	`add-sqr-sqrt_binary64_4192`
13×	`pow1_binary64_4231` `add-exp-log_binary64_4208` `add-cbrt-cube_binary64_4206`
12×	`add-cube-cbrt_binary64_4205`
8×	`associate-r_binary64_4110` `distribute-lft-out_binary64_4121`
7×	`associate-l_binary64_4111`
6×	`swap-sqr_binary64_4137` `associate-r/_binary64_4112` `flip-+_binary64_4144` `flip3-+_binary64_4173` `times-frac_binary64_4176` `add-log-exp_binary64_4209` `associate-/r_binary64_4114`
4×	`distribute-lft-in_binary64_4119` `frac-times_binary64_4180` `distribute-rgt-in_binary64_4120` `flip3--_binary64_4174` `difference-of-squares_binary64_4139` `distribute-lft-out--_binary64_4122` `flip--_binary64_4145`
3×	`prod-exp_binary64_4219` `cbrt-unprod_binary64_4203` `cancel-sign-sub-inv_binary64_4136` `sub-neg_binary64_4163`
2×	`associate--r+_binary64_4106` `associate-l/_binary64_4113` `associate-/r/_binary64_4116` `-commutative_binary64_4101` `cbrt-undiv_binary64_4204` `pow-prod-down_binary64_4241` `associate-/l/_binary64_4117` `unswap-sqr_binary64_4138` `div-exp_binary64_4221`
1×	`pow-plus_binary64_4233` `diff-log_binary64_4262` `frac-2neg_binary64_4181` `associate-/l*_binary64_4115` `pow2_binary64_4251` `div-inv_binary64_4167` `pow-prod-up_binary64_4240` `clear-num_binary64_4169` `pow-sqr_binary64_4143`

Counts

4 → 111

Calls

4 calls:

14.0ms	(/.f64 (.f64 d1 (-.f64 (.f64 d2 d2) (*.f64 (+.f64 d3 37) (+.f64 d3 37)))) (-.f64 d2 (+.f64 d3 37)))
10.0ms	(*.f64 (+.f64 d3 37) (+.f64 d3 37))
8.0ms	(.f64 d1 (-.f64 (.f64 d2 d2) (*.f64 (+.f64 d3 37) (+.f64 d3 37))))
5.0ms	(-.f64 (.f64 d2 d2) (.f64 (+.f64 d3 37) (+.f64 d3 37)))

series220.0ms (8.9%)

Counts

4 → 12

Calls

4 calls:

110.0ms	(/.f64 (.f64 d1 (-.f64 (.f64 d2 d2) (*.f64 (+.f64 d3 37) (+.f64 d3 37)))) (-.f64 d2 (+.f64 d3 37)))
78.0ms	(.f64 d1 (-.f64 (.f64 d2 d2) (*.f64 (+.f64 d3 37) (+.f64 d3 37))))
25.0ms	(-.f64 (.f64 d2 d2) (.f64 (+.f64 d3 37) (+.f64 d3 37)))
8.0ms	(*.f64 (+.f64 d3 37) (+.f64 d3 37))

simplify75.0ms (3%)

Algorithm

1×	egg-herbie

Counts

123 → 123

Iterations

Useful iterations: 0 (47.0ms)

Iter	Nodes	Cost
0	4998	1937
1	4998	1937

prune126.0ms (5.1%)

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	123	0	123
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	123	4	127

Error

Counts

127 → 4

Compiler

Compiled 2677 to 1674 computations (37.5% saved)

regimes104.0ms (4.2%)

Accuracy

Total 0.0b remaining (95.5%)

Threshold costs 0.0b (95.5%)

Compiler

Compiled 823 to 716 computations (13% 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%)

sample697.0ms (28.3%)

Algorithm

1×

intervals

Results

284.0ms	7962×	body	128	valid
23.0ms	679×	body	128	invalid
2.0ms	13×	body	1024	valid
2.0ms	16×	body	512	valid
1.0ms	9×	body	256	valid

Compiler

Compiled 181 to 157 computations (13.3% saved)

Details

analyze311.0ms (12.6%)

sample18.0ms (0.7%)

simplify96.0ms (3.9%)

prune8.0ms (0.3%)

localize5.0ms (0.2%)

rewrite12.0ms (0.5%)

series28.0ms (1.1%)

simplify77.0ms (3.1%)

prune25.0ms (1%)

localize11.0ms (0.5%)

rewrite22.0ms (0.9%)

series80.0ms (3.2%)

simplify68.0ms (2.8%)

prune46.0ms (1.9%)

localize8.0ms (0.3%)

rewrite49.0ms (2%)

series137.0ms (5.6%)

simplify76.0ms (3.1%)

prune106.0ms (4.3%)

localize10.0ms (0.4%)

rewrite46.0ms (1.8%)

series220.0ms (8.9%)

simplify75.0ms (3%)

prune126.0ms (5.1%)

regimes104.0ms (4.2%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample697.0ms (28.3%)

Profiling