Details

analyze290.0ms (11.9%)

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
15.6%	84.3%	0.1%	7
29.6%	70.2%	0.1%	8
36.7%	60.1%	3.3%	9
43.3%	49.5%	7.2%	10
52.1%	39.2%	8.7%	11
57.6%	31.1%	11.3%	12
60.6%	25.6%	13.8%	13
65.2%	20.4%	14.4%	14

Compiler

Compiled 10 to 9 computations (10% saved)

sample15.0ms (0.6%)

Algorithm

1×

intervals

Results

7.0ms	256×	body	128	valid
1.0ms	23×	body	128	invalid

Compiler

Compiled 19 to 20 computations (-5.3% saved)

simplify108.0ms (4.4%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (15.0ms)

Iter	Nodes	Cost
0	301	10
1	301	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 23 to 20 computations (13% saved)

localize6.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.0b	(+.f64 (.f64 (-.f64 1 x) y) (.f64 x z))
0.0b	(*.f64 (-.f64 1 x) y)

rewrite16.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

9×	`add-sqr-sqrt_binary64_19878`
7×	`*-un-lft-identity_binary64_19856`
6×	`associate-l_binary64_19797`
4×	`pow1_binary64_19917` `add-cube-cbrt_binary64_19891` `add-cbrt-cube_binary64_19892` `add-log-exp_binary64_19895` `add-exp-log_binary64_19894`
3×	`associate-r_binary64_19796`
2×	`associate-*l/_binary64_19799` `difference-of-squares_binary64_19825`
1×	`flip3--_binary64_19860` `unswap-sqr_binary64_19824` `*-commutative_binary64_19787` `flip-+_binary64_19830` `prod-exp_binary64_19905` `flip3-+_binary64_19859` `flip--_binary64_19831` `pow-prod-down_binary64_19927` `+-commutative_binary64_19786` `distribute-lft-out--_binary64_19808` `cbrt-unprod_binary64_19889` `sum-log_binary64_19947`

Counts

2 → 34

Calls

2 calls:

7.0ms	(+.f64 (.f64 (-.f64 1 x) y) (.f64 x z))
7.0ms	(*.f64 (-.f64 1 x) y)

series46.0ms (1.9%)

Counts

2 → 6

Calls

2 calls:

26.0ms	(+.f64 (.f64 (-.f64 1 x) y) (.f64 x z))
19.0ms	(*.f64 (-.f64 1 x) y)

simplify37.0ms (1.5%)

Algorithm

1×	egg-herbie

Counts

40 → 40

Iterations

Useful iterations: 0 (27.0ms)

Iter	Nodes	Cost
0	5273	464

prune31.0ms (1.3%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	39	1	40
Fresh	1	0	1
Picked	0	1	1
Done	0	0	0
Total	40	2	42

Error

Counts

42 → 2

Compiler

Compiled 566 to 254 computations (55.1% saved)

localize9.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.5b	(.f64 (cbrt.f64 (+.f64 y (.f64 x (-.f64 z y)))) (cbrt.f64 (+.f64 y (*.f64 x (-.f64 z y)))))
0.6b	(cbrt.f64 (+.f64 y (*.f64 x (-.f64 z y))))
0.6b	(cbrt.f64 (+.f64 y (*.f64 x (-.f64 z y))))
0.6b	(cbrt.f64 (+.f64 y (*.f64 x (-.f64 z y))))

rewrite26.0ms (1.1%)

Algorithm

1×	rewrite-expression-head

Rules

25×	`cbrt-prod_binary64_19887`
23×	`add-sqr-sqrt_binary64_19878`
18×	`cbrt-div_binary64_19888`
15×	`add-cube-cbrt_binary64_19891` `*-un-lft-identity_binary64_19856`
11×	`pow1_binary64_19917`
9×	`flip-+_binary64_19830` `flip3-+_binary64_19859` `pow1/3_binary64_19938`
6×	`swap-sqr_binary64_19823` `associate-r_binary64_19796` `add-exp-log_binary64_19894` `associate-l_binary64_19797`
4×	`unswap-sqr_binary64_19824` `frac-times_binary64_19866` `add-cbrt-cube_binary64_19892` `add-log-exp_binary64_19895`
2×	`pow-prod-up_binary64_19926` `associate-l/_binary64_19799` `associate-r/_binary64_19798` `pow-prod-down_binary64_19927` `pow-sqr_binary64_19829`
1×	`*-commutative_binary64_19787` `prod-exp_binary64_19905` `pow-plus_binary64_19919` `cbrt-unprod_binary64_19889` `pow2_binary64_19937`

Counts

4 → 87

Calls

4 calls:

9.0ms	(.f64 (cbrt.f64 (+.f64 y (.f64 x (-.f64 z y)))) (cbrt.f64 (+.f64 y (*.f64 x (-.f64 z y)))))
2.0ms	(cbrt.f64 (+.f64 y (*.f64 x (-.f64 z y))))
2.0ms	(cbrt.f64 (+.f64 y (*.f64 x (-.f64 z y))))
2.0ms	(cbrt.f64 (+.f64 y (*.f64 x (-.f64 z y))))

series1.0s (42.4%)

Counts

4 → 12

Calls

4 calls:

321.0ms	(.f64 (cbrt.f64 (+.f64 y (.f64 x (-.f64 z y)))) (cbrt.f64 (+.f64 y (*.f64 x (-.f64 z y)))))
240.0ms	(cbrt.f64 (+.f64 y (*.f64 x (-.f64 z y))))
236.0ms	(cbrt.f64 (+.f64 y (*.f64 x (-.f64 z y))))
235.0ms	(cbrt.f64 (+.f64 y (*.f64 x (-.f64 z y))))

simplify141.0ms (5.8%)

Algorithm

1×	egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 0 (112.0ms)

Iter	Nodes	Cost
0	4871	2347
1	4871	2347

prune90.0ms (3.7%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	99	0	99
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	99	2	101

Error

Counts

101 → 2

Compiler

Compiled 3293 to 465 computations (85.9% saved)

regimes44.0ms (1.8%)

Accuracy

Total 0.0b remaining (63.7%)

Threshold costs 0.0b (63.7%)

Compiler

Compiled 268 to 166 computations (38.1% saved)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	22	13
1	22	13

end0.0ms (0%)

sample533.0ms (21.9%)

Algorithm

1×

intervals

Results

221.0ms	8000×	body	128	valid
21.0ms	660×	body	128	invalid

Compiler

Compiled 87 to 59 computations (32.2% saved)

Details

analyze290.0ms (11.9%)

sample15.0ms (0.6%)

simplify108.0ms (4.4%)

prune8.0ms (0.3%)

localize6.0ms (0.2%)

rewrite16.0ms (0.6%)

series46.0ms (1.9%)

simplify37.0ms (1.5%)

prune31.0ms (1.3%)

localize9.0ms (0.4%)

rewrite26.0ms (1.1%)

series1.0s (42.4%)

simplify141.0ms (5.8%)

prune90.0ms (3.7%)

regimes44.0ms (1.8%)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

end0.0ms (0%)

sample533.0ms (21.9%)

Profiling