Details

analyze321.0ms (13.7%)

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
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

sample19.0ms (0.8%)

Algorithm

1×

intervals

Results

9.0ms	256×	body	80	valid
1.0ms	18×	body	80	invalid

simplify8.0ms (0.3%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (5.0ms)

Iter	Nodes	Cost
0	135	9
1	135	9

prune10.0ms (0.4%)

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

localize7.0ms (0.3%)

Local error

Found 1 expressions with local error:

0.0b	(*.f64 d1 (+.f64 d2 (+.f64 (+.f64 d3 5.0) 32.0)))

rewrite17.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

12×	`*-un-lft-identity_binary64`
6×	`distribute-lft-out_binary64` `associate-r_binary64`
5×	`add-sqr-sqrt_binary64`
3×	`pow1_binary64` `add-cube-cbrt_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `associate-l_binary64`
2×	`associate-*r/_binary64`
1×	`pow-prod-down_binary64` `flip3-+_binary64` `add-log-exp_binary64` `cbrt-unprod_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `flip-+_binary64` `*-commutative_binary64`

Counts

1 → 25

Calls

1 calls:

16.0ms

(*.f64 d1 (+.f64 d2 (+.f64 (+.f64 d3 5.0) 32.0)))

series9.0ms (0.4%)

Counts

1 → 3

Calls

1 calls:

9.0ms

(*.f64 d1 (+.f64 d2 (+.f64 (+.f64 d3 5.0) 32.0)))

simplify45.0ms (1.9%)

Algorithm

1×	egg-herbie

Counts

28 → 28

Iterations

Useful iterations: 0 (40.0ms)

Iter	Nodes	Cost
0	4956	267
1	4956	267

prune42.0ms (1.8%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	26	2	28
Fresh	1	0	1
Picked	0	1	1
Done	0	0	0
Total	27	3	30

Merged error: 0b

Counts

30 → 3

localize9.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.0b	(sqrt.f64 (+.f64 d2 (+.f64 (+.f64 d3 5.0) 32.0)))
0.0b	(sqrt.f64 (+.f64 d2 (+.f64 (+.f64 d3 5.0) 32.0)))
0.2b	(*.f64 d1 (sqrt.f64 (+.f64 d2 (+.f64 (+.f64 d3 5.0) 32.0))))
0.2b	(.f64 (.f64 d1 (sqrt.f64 (+.f64 d2 (+.f64 (+.f64 d3 5.0) 32.0)))) (sqrt.f64 (+.f64 d2 (+.f64 (+.f64 d3 5.0) 32.0))))

rewrite54.0ms (2.3%)

Algorithm

1×	rewrite-expression-head

Rules

47×	`*-un-lft-identity_binary64`
25×	`sqrt-prod_binary64`
24×	`distribute-lft-out_binary64`
18×	`associate-r_binary64` `sqrt-div_binary64`
17×	`add-sqr-sqrt_binary64`
13×	`pow1_binary64`
11×	`add-cube-cbrt_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
10×	`associate-*r/_binary64`
9×	`flip3-+_binary64` `flip-+_binary64`
4×	`pow-prod-down_binary64` `add-log-exp_binary64` `cbrt-unprod_binary64` `associate-l_binary64` `prod-exp_binary64` `frac-times_binary64`
2×	`pow1/2_binary64` `sqrt-pow1_binary64` `unswap-sqr_binary64` `rem-sqrt-square_binary64` `associate-l/_binary64` `-commutative_binary64`

Counts

4 → 95

Calls

4 calls:

22.0ms	(.f64 (.f64 d1 (sqrt.f64 (+.f64 d2 (+.f64 (+.f64 d3 5.0) 32.0)))) (sqrt.f64 (+.f64 d2 (+.f64 (+.f64 d3 5.0) 32.0))))
12.0ms	(*.f64 d1 (sqrt.f64 (+.f64 d2 (+.f64 (+.f64 d3 5.0) 32.0))))
8.0ms	(sqrt.f64 (+.f64 d2 (+.f64 (+.f64 d3 5.0) 32.0)))
8.0ms	(sqrt.f64 (+.f64 d2 (+.f64 (+.f64 d3 5.0) 32.0)))

series47.0ms (2%)

Counts

4 → 12

Calls

4 calls:

21.0ms	(*.f64 d1 (sqrt.f64 (+.f64 d2 (+.f64 (+.f64 d3 5.0) 32.0))))
9.0ms	(.f64 (.f64 d1 (sqrt.f64 (+.f64 d2 (+.f64 (+.f64 d3 5.0) 32.0)))) (sqrt.f64 (+.f64 d2 (+.f64 (+.f64 d3 5.0) 32.0))))
9.0ms	(sqrt.f64 (+.f64 d2 (+.f64 (+.f64 d3 5.0) 32.0)))
8.0ms	(sqrt.f64 (+.f64 d2 (+.f64 (+.f64 d3 5.0) 32.0)))

simplify49.0ms (2.1%)

Algorithm

1×	egg-herbie

Counts

107 → 107

Iterations

Useful iterations: 0 (36.0ms)

Iter	Nodes	Cost
0	5061	1450

prune151.0ms (6.4%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	107	0	107
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	107	3	110

Merged error: 0b

Counts

110 → 3

localize18.0ms (0.8%)

Local error

Found 4 expressions with local error:

1.8b	(+.f64 (.f64 d2 d2) (-.f64 (.f64 (+.f64 (+.f64 d3 5.0) 32.0) (+.f64 (+.f64 d3 5.0) 32.0)) (*.f64 d2 (+.f64 (+.f64 d3 5.0) 32.0))))
2.3b	(-.f64 (.f64 (+.f64 (+.f64 d3 5.0) 32.0) (+.f64 (+.f64 d3 5.0) 32.0)) (.f64 d2 (+.f64 (+.f64 d3 5.0) 32.0)))
5.2b	(*.f64 d1 (+.f64 (pow.f64 d2 3) (pow.f64 (+.f64 (+.f64 d3 5.0) 32.0) 3)))
27.9b	(/.f64 (.f64 d1 (+.f64 (pow.f64 d2 3) (pow.f64 (+.f64 (+.f64 d3 5.0) 32.0) 3))) (+.f64 (.f64 d2 d2) (-.f64 (.f64 (+.f64 (+.f64 d3 5.0) 32.0) (+.f64 (+.f64 d3 5.0) 32.0)) (.f64 d2 (+.f64 (+.f64 d3 5.0) 32.0)))))

rewrite102.0ms (4.4%)

Algorithm

1×	rewrite-expression-head

Rules

46×	`*-un-lft-identity_binary64`
30×	`associate-*r/_binary64`
28×	`flip3-+_binary64` `flip-+_binary64`
25×	`distribute-lft-out_binary64`
17×	`associate-r_binary64`
16×	`frac-sub_binary64`
12×	`unpow-prod-down_binary64` `cube-prod_binary64`
11×	`add-log-exp_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
10×	`add-sqr-sqrt_binary64`
8×	`add-cube-cbrt_binary64` `frac-times_binary64`
6×	`pow1_binary64` `associate-*l/_binary64`
4×	`distribute-lft-in_binary64` `distribute-rgt-in_binary64` `sub-div_binary64` `associate--l+_binary64`
3×	`associate-/r_binary64` `associate-l*_binary64` `times-frac_binary64` `associate-+r+_binary64`
2×	`associate-/l/_binary64` `sub-neg_binary64` `associate--r+_binary64` `diff-log_binary64` `cbrt-unprod_binary64` `cbrt-undiv_binary64` `associate-/r/_binary64` `prod-exp_binary64` `div-exp_binary64` `sum-log_binary64`
1×	`pow-prod-down_binary64` `associate-+r-_binary64` `flip3--_binary64` `distribute-rgt-out--_binary64` `sum-cubes_binary64` `unswap-sqr_binary64` `clear-num_binary64` `frac-2neg_binary64` `associate-/l_binary64` `div-inv_binary64` `+-commutative_binary64` `flip--_binary64` `-commutative_binary64`

Counts

4 → 113

Calls

4 calls:

40.0ms	(/.f64 (.f64 d1 (+.f64 (pow.f64 d2 3) (pow.f64 (+.f64 (+.f64 d3 5.0) 32.0) 3))) (+.f64 (.f64 d2 d2) (-.f64 (.f64 (+.f64 (+.f64 d3 5.0) 32.0) (+.f64 (+.f64 d3 5.0) 32.0)) (.f64 d2 (+.f64 (+.f64 d3 5.0) 32.0)))))
23.0ms	(*.f64 d1 (+.f64 (pow.f64 d2 3) (pow.f64 (+.f64 (+.f64 d3 5.0) 32.0) 3)))
17.0ms	(-.f64 (.f64 (+.f64 (+.f64 d3 5.0) 32.0) (+.f64 (+.f64 d3 5.0) 32.0)) (.f64 d2 (+.f64 (+.f64 d3 5.0) 32.0)))
16.0ms	(+.f64 (.f64 d2 d2) (-.f64 (.f64 (+.f64 (+.f64 d3 5.0) 32.0) (+.f64 (+.f64 d3 5.0) 32.0)) (*.f64 d2 (+.f64 (+.f64 d3 5.0) 32.0))))

series157.0ms (6.7%)

Counts

4 → 12

Calls

4 calls:

87.0ms	(/.f64 (.f64 d1 (+.f64 (pow.f64 d2 3) (pow.f64 (+.f64 (+.f64 d3 5.0) 32.0) 3))) (+.f64 (.f64 d2 d2) (-.f64 (.f64 (+.f64 (+.f64 d3 5.0) 32.0) (+.f64 (+.f64 d3 5.0) 32.0)) (.f64 d2 (+.f64 (+.f64 d3 5.0) 32.0)))))
50.0ms	(*.f64 d1 (+.f64 (pow.f64 d2 3) (pow.f64 (+.f64 (+.f64 d3 5.0) 32.0) 3)))
12.0ms	(+.f64 (.f64 d2 d2) (-.f64 (.f64 (+.f64 (+.f64 d3 5.0) 32.0) (+.f64 (+.f64 d3 5.0) 32.0)) (*.f64 d2 (+.f64 (+.f64 d3 5.0) 32.0))))
9.0ms	(-.f64 (.f64 (+.f64 (+.f64 d3 5.0) 32.0) (+.f64 (+.f64 d3 5.0) 32.0)) (.f64 d2 (+.f64 (+.f64 d3 5.0) 32.0)))

simplify58.0ms (2.5%)

Algorithm

1×	egg-herbie

Counts

125 → 125

Iterations

Useful iterations: 0 (36.0ms)

Iter	Nodes	Cost
0	5001	3168

prune535.0ms (22.8%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	125	0	125
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	125	3	128

Merged error: 0b

Counts

128 → 3

regimes175.0ms (7.5%)

Accuracy

Total 0.0b remaining (53.6%)

Threshold costs 0.0b (53.6%)

bsearch0.0ms (0%)

simplify4.0ms (0.2%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	13	9
1	13	9

end0.0ms (0%)

sample506.0ms (21.6%)

Algorithm

1×

intervals

Results

288.0ms	7961×	body	80	valid
23.0ms	660×	body	80	invalid
2.0ms	16×	body	640	valid
1.0ms	9×	body	320	valid
1.0ms	5×	body	1280	valid
1.0ms	9×	body	160	valid

Details

analyze321.0ms (13.7%)

sample19.0ms (0.8%)

simplify8.0ms (0.3%)

prune10.0ms (0.4%)

localize7.0ms (0.3%)

rewrite17.0ms (0.7%)

series9.0ms (0.4%)

simplify45.0ms (1.9%)

prune42.0ms (1.8%)

localize9.0ms (0.4%)

rewrite54.0ms (2.3%)

series47.0ms (2%)

simplify49.0ms (2.1%)

prune151.0ms (6.4%)

localize18.0ms (0.8%)

rewrite102.0ms (4.4%)

series157.0ms (6.7%)

simplify58.0ms (2.5%)

prune535.0ms (22.8%)

regimes175.0ms (7.5%)

bsearch0.0ms (0%)

simplify4.0ms (0.2%)

end0.0ms (0%)

sample506.0ms (21.6%)

Profiling