Details

analyze215.0ms (2.8%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	18
1	11	18
0	2	2
1	2	2

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
25%	74.9%	0.1%	4
25%	74.9%	0.1%	5
43.7%	50%	6.3%	6
43.7%	43.7%	12.6%	7
59.3%	26.5%	14.1%	8
59.3%	22.6%	18%	9
67.1%	13.7%	19.2%	10
67.1%	11.5%	21.4%	11
71%	6.9%	22%	12
71%	5.8%	23.2%	13
73%	3.5%	23.5%	14

Compiler

Compiled 7 to 6 computations (14.3% saved)

sample174.0ms (2.2%)

Algorithm

1×

intervals

Results

6.0ms	256×	body	128	valid
6.0ms	75×	body	128	nan

Compiler

Compiled 2330 to 2661 computations (-14.2% saved)

simplify7.0ms (0.1%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	7	9
1	7	9

prune2.0ms (0%)

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

21.3b

Counts

2 → 1

Compiler

Compiled 12 to 10 computations (16.7% saved)

localize4.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.0b	(+.f64 (*.f64 x x) y)
19.8b	(sqrt.f64 (+.f64 (*.f64 x x) y))

rewrite28.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Error

21.3b

Rules

4×	`add-log-exp_binary64_11029` `add-sqr-sqrt_binary64_11012`
3×	`pow1_binary64_11051` `add-cube-cbrt_binary64_11025` `sqrt-prod_binary64_11006` `*-un-lft-identity_binary64_10990`
2×	`add-exp-log_binary64_11028` `add-cbrt-cube_binary64_11026` `flip3-+_binary64_10993` `sqrt-div_binary64_11007` `flip-+_binary64_10964`
1×	`pow1/2_binary64_11070` `sqrt-pow1_binary64_11008` `rem-sqrt-square_binary64_11003` `sum-log_binary64_11081` `+-commutative_binary64_10920`

Counts

2 → 26

Calls

2 calls:

4.0ms	(sqrt.f64 (+.f64 (*.f64 x x) y))
4.0ms	(+.f64 (*.f64 x x) y)

Compiler

Compiled 355 to 89 computations (74.9% saved)

series201.0ms (2.6%)

Error

0.0b

Counts

2 → 25

Calls

2 calls:

92.0ms	(+.f64 (*.f64 x x) y)
92.0ms	(sqrt.f64 (+.f64 (*.f64 x x) y))

Compiler

Compiled 471 to 391 computations (17% saved)

simplify49.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

51 → 51

Iterations

Useful iterations: 0 (38.0ms)

Iter	Nodes	Cost
0	4920	509
1	4920	509

prune32.0ms (0.4%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	48	3	51
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	48	4	52

Error

Counts

52 → 4

Compiler

Compiled 463 to 145 computations (68.7% saved)

localize9.0ms (0.1%)

Local error

Found 4 expressions with local error:

19.8b	(sqrt.f64 (.f64 (.f64 (cbrt.f64 (+.f64 y (.f64 x x))) (cbrt.f64 (+.f64 y (.f64 x x)))) (cbrt.f64 (+.f64 y (*.f64 x x)))))
20.7b	(cbrt.f64 (+.f64 y (*.f64 x x)))
20.7b	(cbrt.f64 (+.f64 y (*.f64 x x)))
20.7b	(cbrt.f64 (+.f64 y (*.f64 x x)))

rewrite150.0ms (1.9%)

Algorithm

1×	rewrite-expression-head

Error

Rules

60×	`cbrt-div_binary64_11022`
30×	`flip3-+_binary64_10993` `flip-+_binary64_10964`
28×	`frac-times_binary64_11000`
26×	`sqrt-div_binary64_11007`
24×	`pow1_binary64_11051`
15×	`sqrt-pow1_binary64_11008`
14×	`associate-*l/_binary64_10933`
12×	`pow1/3_binary64_11072`
9×	`cbrt-prod_binary64_11021` `pow-prod-up_binary64_11060`
8×	`associate-*r/_binary64_10932`
7×	`add-cube-cbrt_binary64_11025` `add-sqr-sqrt_binary64_11012` `*-un-lft-identity_binary64_10990`
6×	`pow-plus_binary64_11053`
5×	`pow-prod-down_binary64_11061`
4×	`add-log-exp_binary64_11029` `add-exp-log_binary64_11028` `add-cbrt-cube_binary64_11026`
3×	`pow-sqr_binary64_10963`
2×	`pow2_binary64_11071`
1×	`pow1/2_binary64_11070` `pow3_binary64_11073` `sqrt-prod_binary64_11006`

Counts

4 → 89

Calls

4 calls:

15.0ms	(sqrt.f64 (.f64 (.f64 (cbrt.f64 (+.f64 y (.f64 x x))) (cbrt.f64 (+.f64 y (.f64 x x)))) (cbrt.f64 (+.f64 y (*.f64 x x)))))
5.0ms	(cbrt.f64 (+.f64 y (*.f64 x x)))
2.0ms	(cbrt.f64 (+.f64 y (*.f64 x x)))
2.0ms	(cbrt.f64 (+.f64 y (*.f64 x x)))

Compiler

Compiled 3257 to 588 computations (81.9% saved)

series602.0ms (7.8%)

Error

Counts

4 → 40

Calls

4 calls:

156.0ms	(cbrt.f64 (+.f64 y (*.f64 x x)))
155.0ms	(cbrt.f64 (+.f64 y (*.f64 x x)))
137.0ms	(cbrt.f64 (+.f64 y (*.f64 x x)))
115.0ms	(sqrt.f64 (.f64 (.f64 (cbrt.f64 (+.f64 y (.f64 x x))) (cbrt.f64 (+.f64 y (.f64 x x)))) (cbrt.f64 (+.f64 y (*.f64 x x)))))

Compiler

Compiled 2367 to 1493 computations (36.9% saved)

simplify73.0ms (0.9%)

Algorithm

1×	egg-herbie

Counts

129 → 129

Iterations

Useful iterations: 0 (41.0ms)

Iter	Nodes	Cost
0	5513	2794

prune148.0ms (1.9%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	129	0	129
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	129	4	133

Error

Counts

133 → 4

Compiler

Compiled 3161 to 899 computations (71.6% saved)

localize1.0ms (0%)

rewrite0.0ms (0%)

Algorithm

1×	rewrite-expression-head

Error

Counts

0 → 0

Compiler

Compiled 0 to 0 computations (0% saved)

series0.0ms (0%)

Error: 0b
Counts: 0 → 0
Compiler: Compiled 0 to 0 computations (0% saved)

simplify6.0ms (0.1%)

Algorithm

1×	egg-herbie

Counts

0 → 0

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	0	0

prune2.0ms (0%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Kept	Total
New	0	0
Fresh	1	1
Picked	1	1
Done	2	2
Total	4	4

Error

Counts

4 → 4

Compiler

Compiled 2 to 3 computations (-50% saved)

localize2.0ms (0%)

rewrite0.0ms (0%)

Algorithm

1×	rewrite-expression-head

Error

Counts

0 → 0

Compiler

Compiled 0 to 0 computations (0% saved)

series0.0ms (0%)

Error: 0b
Counts: 0 → 0
Compiler: Compiled 0 to 0 computations (0% saved)

simplify6.0ms (0.1%)

Algorithm

1×	egg-herbie

Counts

0 → 0

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	0	0

prune0.0ms (0%)

Pruning

4 alts after pruning (0 fresh and 4 done)

	Kept	Total
New	0	0
Fresh	0	0
Picked	1	1
Done	3	3
Total	4	4

Error

Counts

4 → 4

Compiler

Compiled 0 to 0 computations (0% saved)

regimes175.0ms (2.3%)

Accuracy

Total 0.1b remaining (96.9%)

Threshold costs 0.1b (96.9%)

Compiler

Compiled 513 to 344 computations (32.9% saved)

bsearch135.0ms (1.7%)

Steps

Iters	Range		Point
8	6.381147455250821e+115	1.622457461128961e+119	2.2032537307813597e+118
6	-3.095478137955303e+154	-4.0824944898109816e+153	-1.3303094436790313e+154

Compiler

Compiled 1 to 2 computations (-100% saved)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	22	25
1	22	25

end0.0ms (0%)

sample5.7s (73.8%)

Algorithm

1×

intervals

Results

197.0ms	8000×	body	128	valid
68.0ms	2632×	body	128	nan

Compiler

Compiled 74551 to 85144 computations (-14.2% saved)

Details

analyze215.0ms (2.8%)

sample174.0ms (2.2%)

simplify7.0ms (0.1%)

prune2.0ms (0%)

localize4.0ms (0.1%)

rewrite28.0ms (0.4%)

series201.0ms (2.6%)

simplify49.0ms (0.6%)

prune32.0ms (0.4%)

localize9.0ms (0.1%)

rewrite150.0ms (1.9%)

series602.0ms (7.8%)

simplify73.0ms (0.9%)

prune148.0ms (1.9%)

localize1.0ms (0%)

rewrite0.0ms (0%)

series0.0ms (0%)

simplify6.0ms (0.1%)

prune2.0ms (0%)

localize2.0ms (0%)

rewrite0.0ms (0%)

series0.0ms (0%)

simplify6.0ms (0.1%)

prune0.0ms (0%)

regimes175.0ms (2.3%)

bsearch135.0ms (1.7%)

simplify2.0ms (0%)

end0.0ms (0%)

sample5.7s (73.8%)

Profiling