Details

analyze797.0ms (14%)

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
0%	99.9%	0.1%	7
0%	74.9%	25.1%	8
0%	74.9%	25.1%	9
9.4%	65.5%	25.1%	10
9.4%	53%	37.6%	11
14%	48.4%	37.6%	12
16.4%	46%	37.6%	13
16.4%	39.8%	43.8%	14

sample67.0ms (1.2%)

Algorithm

1×

intervals

Results

12.0ms	166×	body	80	valid
9.0ms	34×	body	640	valid
8.0ms	24×	body	1280	valid
8.0ms	18×	body	640	nan
5.0ms	22×	body	320	valid
4.0ms	11×	body	1280	nan
3.0ms	49×	body	80	nan
3.0ms	17×	body	320	nan
1.0ms	10×	body	160	valid
0.0ms	2×	body	160	nan

simplify43.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (40.0ms)

Iter	Nodes	Cost
0	5225	27

prune6.0ms (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: 44.5b

Counts

2 → 1

localize17.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.0b	(/.f64 (.f64 (sqrt.f64 2.0) t) (sqrt.f64 (-.f64 (.f64 (/.f64 (+.f64 x 1.0) (-.f64 x 1.0)) (+.f64 (.f64 l l) (.f64 2.0 (.f64 t t)))) (.f64 l l))))
0.5b	(*.f64 (sqrt.f64 2.0) t)
13.3b	(-.f64 (.f64 (/.f64 (+.f64 x 1.0) (-.f64 x 1.0)) (+.f64 (.f64 l l) (.f64 2.0 (.f64 t t)))) (*.f64 l l))
22.9b	(sqrt.f64 (-.f64 (.f64 (/.f64 (+.f64 x 1.0) (-.f64 x 1.0)) (+.f64 (.f64 l l) (.f64 2.0 (.f64 t t)))) (*.f64 l l)))

rewrite60.0ms (1.1%)

Algorithm

1×	rewrite-expression-head

Rules

17×	`add-sqr-sqrt_binary64`
13×	`sqrt-prod_binary64`
12×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
11×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
7×	`pow1_binary64`
6×	`associate-/r_binary64` `add-log-exp_binary64` `associate-l*_binary64` `times-frac_binary64`
4×	`sqrt-div_binary64`
3×	`flip3--_binary64` `associate-r_binary64` `flip--_binary64`
2×	`cbrt-unprod_binary64` `cbrt-undiv_binary64` `associate-/r/_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `div-exp_binary64` `associate--l+_binary64`
1×	`pow-prod-down_binary64` `sub-neg_binary64` `pow1/2_binary64` `diff-log_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64` `sqrt-pow1_binary64` `rem-sqrt-square_binary64` `clear-num_binary64` `frac-2neg_binary64` `associate-/l_binary64` `div-inv_binary64` `-commutative_binary64`

Counts

4 → 79

Calls

4 calls:

22.0ms	(/.f64 (.f64 (sqrt.f64 2.0) t) (sqrt.f64 (-.f64 (.f64 (/.f64 (+.f64 x 1.0) (-.f64 x 1.0)) (+.f64 (.f64 l l) (.f64 2.0 (.f64 t t)))) (.f64 l l))))
15.0ms	(-.f64 (.f64 (/.f64 (+.f64 x 1.0) (-.f64 x 1.0)) (+.f64 (.f64 l l) (.f64 2.0 (.f64 t t)))) (*.f64 l l))
15.0ms	(sqrt.f64 (-.f64 (.f64 (/.f64 (+.f64 x 1.0) (-.f64 x 1.0)) (+.f64 (.f64 l l) (.f64 2.0 (.f64 t t)))) (*.f64 l l)))
5.0ms	(*.f64 (sqrt.f64 2.0) t)

series459.0ms (8.1%)

Counts

4 → 12

Calls

4 calls:

255.0ms	(sqrt.f64 (-.f64 (.f64 (/.f64 (+.f64 x 1.0) (-.f64 x 1.0)) (+.f64 (.f64 l l) (.f64 2.0 (.f64 t t)))) (*.f64 l l)))
124.0ms	(/.f64 (.f64 (sqrt.f64 2.0) t) (sqrt.f64 (-.f64 (.f64 (/.f64 (+.f64 x 1.0) (-.f64 x 1.0)) (+.f64 (.f64 l l) (.f64 2.0 (.f64 t t)))) (.f64 l l))))
75.0ms	(-.f64 (.f64 (/.f64 (+.f64 x 1.0) (-.f64 x 1.0)) (+.f64 (.f64 l l) (.f64 2.0 (.f64 t t)))) (*.f64 l l))
6.0ms	(*.f64 (sqrt.f64 2.0) t)

simplify47.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

91 → 91

Iterations

Useful iterations: 0 (34.0ms)

Iter	Nodes	Cost
0	5044	2021

prune190.0ms (3.3%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	86	5	91
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	87	5	92

Merged error: 6.3b

Counts

92 → 5

localize15.0ms (0.3%)

Local error

Found 4 expressions with local error:

3.2b	(+.f64 (.f64 4.0 (/.f64 (.f64 t t) x)) (.f64 2.0 (+.f64 (.f64 t t) (/.f64 (*.f64 l l) x))))
7.6b	(/.f64 (*.f64 l l) x)
10.4b	(/.f64 (*.f64 t t) x)
28.5b	(sqrt.f64 (+.f64 (.f64 4.0 (/.f64 (.f64 t t) x)) (.f64 2.0 (+.f64 (.f64 t t) (/.f64 (*.f64 l l) x)))))

rewrite30.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

14×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
10×	`add-sqr-sqrt_binary64`
9×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
8×	`associate-*r/_binary64`
6×	`associate-/r*_binary64` `add-log-exp_binary64` `times-frac_binary64`
5×	`pow1_binary64`
4×	`flip3-+_binary64` `cbrt-undiv_binary64` `frac-add_binary64` `div-exp_binary64` `flip-+_binary64` `sqrt-div_binary64`
3×	`sqrt-prod_binary64`
2×	`cbrt-unprod_binary64` `clear-num_binary64` `prod-exp_binary64` `frac-2neg_binary64` `associate-/l*_binary64` `div-inv_binary64` `associate-+r+_binary64`
1×	`pow1/2_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64` `sqrt-pow1_binary64` `rem-sqrt-square_binary64` `+-commutative_binary64` `sum-log_binary64`

Counts

4 → 74

Calls

4 calls:

9.0ms	(+.f64 (.f64 4.0 (/.f64 (.f64 t t) x)) (.f64 2.0 (+.f64 (.f64 t t) (/.f64 (*.f64 l l) x))))
8.0ms	(sqrt.f64 (+.f64 (.f64 4.0 (/.f64 (.f64 t t) x)) (.f64 2.0 (+.f64 (.f64 t t) (/.f64 (*.f64 l l) x)))))
5.0ms	(/.f64 (*.f64 l l) x)
5.0ms	(/.f64 (*.f64 t t) x)

series60.0ms (1.1%)

Counts

4 → 12

Calls

4 calls:

34.0ms	(sqrt.f64 (+.f64 (.f64 4.0 (/.f64 (.f64 t t) x)) (.f64 2.0 (+.f64 (.f64 t t) (/.f64 (*.f64 l l) x)))))
18.0ms	(+.f64 (.f64 4.0 (/.f64 (.f64 t t) x)) (.f64 2.0 (+.f64 (.f64 t t) (/.f64 (*.f64 l l) x))))
4.0ms	(/.f64 (*.f64 t t) x)
4.0ms	(/.f64 (*.f64 l l) x)

simplify43.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

86 → 86

Iterations

Useful iterations: 0 (33.0ms)

Iter	Nodes	Cost
0	4973	1345
1	4973	1345

prune150.0ms (2.6%)

Pruning

12 alts after pruning (12 fresh and 0 done)

	Pruned	Kept	Total
New	78	8	86
Fresh	0	4	4
Picked	1	0	1
Done	0	0	0
Total	79	12	91

Merged error: 3.2b

Counts

91 → 12

localize16.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.6b	(+.f64 (.f64 t t) (.f64 l (/.f64 l x)))
3.2b	(+.f64 (.f64 4.0 (/.f64 (.f64 t t) x)) (.f64 2.0 (+.f64 (.f64 t t) (*.f64 l (/.f64 l x)))))
10.4b	(/.f64 (*.f64 t t) x)
28.5b	(sqrt.f64 (+.f64 (.f64 4.0 (/.f64 (.f64 t t) x)) (.f64 2.0 (+.f64 (.f64 t t) (*.f64 l (/.f64 l x))))))

rewrite30.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

9×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
8×	`add-log-exp_binary64` `associate-*r/_binary64` `add-sqr-sqrt_binary64`
7×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
5×	`flip3-+_binary64` `pow1_binary64` `flip-+_binary64`
4×	`frac-add_binary64` `sqrt-div_binary64`
3×	`associate-/r*_binary64` `times-frac_binary64` `sqrt-prod_binary64`
2×	`cbrt-undiv_binary64` `div-exp_binary64` `+-commutative_binary64` `associate-+r+_binary64` `sum-log_binary64`
1×	`pow1/2_binary64` `cbrt-unprod_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64` `sqrt-pow1_binary64` `rem-sqrt-square_binary64` `clear-num_binary64` `prod-exp_binary64` `frac-2neg_binary64` `associate-/l*_binary64` `div-inv_binary64`

Counts

4 → 64

Calls

4 calls:

9.0ms	(+.f64 (.f64 4.0 (/.f64 (.f64 t t) x)) (.f64 2.0 (+.f64 (.f64 t t) (*.f64 l (/.f64 l x)))))
9.0ms	(sqrt.f64 (+.f64 (.f64 4.0 (/.f64 (.f64 t t) x)) (.f64 2.0 (+.f64 (.f64 t t) (*.f64 l (/.f64 l x))))))
5.0ms	(/.f64 (*.f64 t t) x)
5.0ms	(+.f64 (.f64 t t) (.f64 l (/.f64 l x)))

series66.0ms (1.2%)

Counts

4 → 12

Calls

4 calls:

33.0ms	(sqrt.f64 (+.f64 (.f64 4.0 (/.f64 (.f64 t t) x)) (.f64 2.0 (+.f64 (.f64 t t) (*.f64 l (/.f64 l x))))))
18.0ms	(+.f64 (.f64 4.0 (/.f64 (.f64 t t) x)) (.f64 2.0 (+.f64 (.f64 t t) (*.f64 l (/.f64 l x)))))
11.0ms	(+.f64 (.f64 t t) (.f64 l (/.f64 l x)))
4.0ms	(/.f64 (*.f64 t t) x)

simplify33.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

76 → 76

Iterations

Useful iterations: 0 (22.0ms)

Iter	Nodes	Cost
0	5013	1362

prune143.0ms (2.5%)

Pruning

14 alts after pruning (14 fresh and 0 done)

	Pruned	Kept	Total
New	72	4	76
Fresh	1	10	11
Picked	1	0	1
Done	0	0	0
Total	74	14	88

Merged error: 3.1b

Counts

88 → 14

localize18.0ms (0.3%)

Local error

Found 4 expressions with local error:

10.4b	(/.f64 (*.f64 t t) x)
28.5b	(sqrt.f64 (+.f64 (.f64 4.0 (/.f64 (.f64 t t) x)) (.f64 2.0 (.f64 (sqrt.f64 (+.f64 (.f64 t t) (.f64 l (/.f64 l x)))) (sqrt.f64 (+.f64 (.f64 t t) (.f64 l (/.f64 l x))))))))
28.5b	(sqrt.f64 (+.f64 (.f64 t t) (.f64 l (/.f64 l x))))
28.5b	(sqrt.f64 (+.f64 (.f64 t t) (.f64 l (/.f64 l x))))

rewrite28.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

26×	`sqrt-div_binary64`
18×	`associate-*r/_binary64`
12×	`add-sqr-sqrt_binary64`
9×	`flip3-+_binary64` `*-un-lft-identity_binary64` `add-cube-cbrt_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `sqrt-prod_binary64` `flip-+_binary64`
8×	`frac-add_binary64`
7×	`pow1_binary64`
4×	`add-log-exp_binary64` `frac-times_binary64`
3×	`associate-/r*_binary64` `pow1/2_binary64` `sqrt-pow1_binary64` `rem-sqrt-square_binary64` `times-frac_binary64`
2×	`cbrt-undiv_binary64` `div-exp_binary64` `associate-*l/_binary64`
1×	`cbrt-unprod_binary64` `clear-num_binary64` `prod-exp_binary64` `frac-2neg_binary64` `associate-/l*_binary64` `div-inv_binary64`

Counts

4 → 74

Calls

4 calls:

11.0ms	(sqrt.f64 (+.f64 (.f64 4.0 (/.f64 (.f64 t t) x)) (.f64 2.0 (.f64 (sqrt.f64 (+.f64 (.f64 t t) (.f64 l (/.f64 l x)))) (sqrt.f64 (+.f64 (.f64 t t) (.f64 l (/.f64 l x))))))))
5.0ms	(/.f64 (*.f64 t t) x)
5.0ms	(sqrt.f64 (+.f64 (.f64 t t) (.f64 l (/.f64 l x))))
5.0ms	(sqrt.f64 (+.f64 (.f64 t t) (.f64 l (/.f64 l x))))

series72.0ms (1.3%)

Counts

4 → 12

Calls

4 calls:

32.0ms	(sqrt.f64 (+.f64 (.f64 4.0 (/.f64 (.f64 t t) x)) (.f64 2.0 (.f64 (sqrt.f64 (+.f64 (.f64 t t) (.f64 l (/.f64 l x)))) (sqrt.f64 (+.f64 (.f64 t t) (.f64 l (/.f64 l x))))))))
19.0ms	(sqrt.f64 (+.f64 (.f64 t t) (.f64 l (/.f64 l x))))
17.0ms	(sqrt.f64 (+.f64 (.f64 t t) (.f64 l (/.f64 l x))))
4.0ms	(/.f64 (*.f64 t t) x)

simplify46.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

86 → 86

Iterations

Useful iterations: 0 (34.0ms)

Iter	Nodes	Cost
0	4988	1609
1	4988	1609

prune113.0ms (2%)

Pruning

12 alts after pruning (11 fresh and 1 done)

	Pruned	Kept	Total
New	85	1	86
Fresh	3	10	13
Picked	0	1	1
Done	0	0	0
Total	88	12	100

Merged error: 3.1b

Counts

100 → 12

regimes653.0ms (11.5%)

Accuracy

Total 5.6b remaining (57.5%)

Threshold costs 0b (0%)

bsearch476.0ms (8.4%)

Steps

Iters	Range		Point
8	6.906509369204707e+85	1.408300421472565e+89	1.38095966045702e+89
4	1.0034994831809399e-153	1.9855364651192827e-153	1.0218099834270248e-153
8	4.754042215846116e-224	1.293032107623262e-219	1.2726627814772679e-219
5	-9.547773202688461e-257	-2.612893485181745e-257	-9.353770347627324e-257
7	-1.4977081677011302e-198	-1.3050808961173902e-200	-1.3384093830115906e-200
10	-1.027771339857061e+129	-2.939521704848395e+114	-6.947129452840641e+124

simplify4.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	157	255
1	157	255

end0.0ms (0%)

sample2.0s (35.3%)

Algorithm

1×

intervals

Results

382.0ms	5082×	body	80	valid
305.0ms	871×	body	1280	valid
289.0ms	1034×	body	640	valid
212.0ms	617×	body	1280	nan
162.0ms	599×	body	640	nan
137.0ms	663×	body	320	valid
99.0ms	1416×	body	80	nan
78.0ms	383×	body	320	nan
49.0ms	350×	body	160	valid
25.0ms	189×	body	160	nan

Details

analyze797.0ms (14%)

sample67.0ms (1.2%)

simplify43.0ms (0.8%)

prune6.0ms (0.1%)

localize17.0ms (0.3%)

rewrite60.0ms (1.1%)

series459.0ms (8.1%)

simplify47.0ms (0.8%)

prune190.0ms (3.3%)

localize15.0ms (0.3%)

rewrite30.0ms (0.5%)

series60.0ms (1.1%)

simplify43.0ms (0.8%)

prune150.0ms (2.6%)

localize16.0ms (0.3%)

rewrite30.0ms (0.5%)

series66.0ms (1.2%)

simplify33.0ms (0.6%)

prune143.0ms (2.5%)

localize18.0ms (0.3%)

rewrite28.0ms (0.5%)

series72.0ms (1.3%)

simplify46.0ms (0.8%)

prune113.0ms (2%)

regimes653.0ms (11.5%)

bsearch476.0ms (8.4%)

simplify4.0ms (0.1%)

end0.0ms (0%)

sample2.0s (35.3%)

Profiling