Details

analyze191.0ms (13.8%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	38	32
1	38	32
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
0%	99.9%	0.1%	4
25%	74.9%	0.1%	5
25%	62.4%	12.6%	6
25%	46.8%	28.2%	7
31.2%	35.9%	32.9%	8
39%	25%	36%	9
42.9%	18.7%	38.3%	10
47.2%	12.9%	39.9%	11
49.4%	9.6%	41.1%	12
51.6%	6.5%	41.9%	13
52.7%	4.8%	42.4%	14

Compiler

Compiled 14 to 10 computations (28.6% saved)

sample19.0ms (1.4%)

Algorithm

1×

intervals

Results

11.0ms	256×	body	128	valid
0.0ms	10×	body	128	invalid

Compiler

Compiled 27 to 21 computations (22.2% saved)

simplify8.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	38	16
1	38	16

prune3.0ms (0.2%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Error

0.0b

Counts

2 → 1

Compiler

Compiled 22 to 16 computations (27.3% saved)

localize7.0ms (0.5%)

Local error

Found 2 expressions with local error:

0.0b	(.f64 x (+.f64 x (.f64 2 y)))
0.0b	(+.f64 (.f64 x (+.f64 x (.f64 2 y))) (*.f64 y y))

rewrite14.0ms (1%)

Algorithm

1×	rewrite-expression-head

Rules

6×	`add-sqr-sqrt_binary64_20901`
4×	`add-cbrt-cube_binary64_20915` `add-cube-cbrt_binary64_20914` `add-exp-log_binary64_20917` `*-un-lft-identity_binary64_20879` `pow1_binary64_20940` `add-log-exp_binary64_20918`
3×	`associate-l_binary64_20820` `associate-r_binary64_20819`
2×	`distribute-rgt-in_binary64_20829` `associate-+l+_binary64_20812` `flip3-+_binary64_20882` `distribute-lft-in_binary64_20828` `flip-+_binary64_20853` `associate-*r/_binary64_20821`
1×	`pow-prod-down_binary64_20950` `+-commutative_binary64_20809` `sum-log_binary64_20970` `unswap-sqr_binary64_20847` `*-commutative_binary64_20810` `prod-exp_binary64_20928` `cbrt-unprod_binary64_20912`

Counts

2 → 35

Calls

2 calls:

6.0ms	(+.f64 (.f64 x (+.f64 x (.f64 2 y))) (*.f64 y y))
5.0ms	(.f64 x (+.f64 x (.f64 2 y)))

series47.0ms (3.4%)

Counts

2 → 6

Calls

2 calls:

26.0ms	(.f64 x (+.f64 x (.f64 2 y)))
22.0ms	(+.f64 (.f64 x (+.f64 x (.f64 2 y))) (*.f64 y y))

simplify56.0ms (4%)

Algorithm

1×	egg-herbie

Counts

41 → 41

Iterations

Useful iterations: 0 (45.0ms)

Iter	Nodes	Cost
0	5056	646

prune33.0ms (2.4%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	40	1	41
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	40	2	42

Error

Counts

42 → 2

Compiler

Compiled 707 to 382 computations (46% saved)

localize9.0ms (0.7%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 (.f64 x (+.f64 x (.f64 2 y))) (*.f64 y y))
0.0b	(.f64 (sqrt.f64 (+.f64 (.f64 x (+.f64 x (.f64 2 y))) (.f64 y y))) (sqrt.f64 (+.f64 (.f64 x (+.f64 x (.f64 2 y))) (*.f64 y y))))
5.5b	(sqrt.f64 (+.f64 (.f64 x (+.f64 x (.f64 2 y))) (*.f64 y y)))
5.5b	(sqrt.f64 (+.f64 (.f64 x (+.f64 x (.f64 2 y))) (*.f64 y y)))

rewrite49.0ms (3.5%)

Algorithm

1×	rewrite-expression-head

Rules

30×	`add-sqr-sqrt_binary64_20901`
24×	`sqrt-prod_binary64_20895`
21×	`pow1_binary64_20940`
16×	`sqrt-div_binary64_20896`
14×	`add-cube-cbrt_binary64_20914` `*-un-lft-identity_binary64_20879`
10×	`pow1/2_binary64_20959` `sqrt-pow1_binary64_20897`
9×	`flip3-+_binary64_20882` `flip-+_binary64_20853`
8×	`swap-sqr_binary64_20846`
6×	`associate-l_binary64_20820` `add-cbrt-cube_binary64_20915` `add-exp-log_binary64_20917` `associate-r_binary64_20819` `add-log-exp_binary64_20918`
5×	`pow-prod-up_binary64_20949`
4×	`unswap-sqr_binary64_20847` `rem-sqrt-square_binary64_20892` `frac-times_binary64_20889`
3×	`pow-prod-down_binary64_20950` `pow-sqr_binary64_20852`
2×	`associate-+l+_binary64_20812` `associate-r/_binary64_20821` `associate-l/_binary64_20822`
1×	`sqrt-unprod_binary64_20899` `+-commutative_binary64_20809` `distribute-rgt-in_binary64_20829` `sum-log_binary64_20970` `rem-square-sqrt_binary64_20891` `distribute-lft-in_binary64_20828` `pow2_binary64_20960` `*-commutative_binary64_20810` `prod-exp_binary64_20928` `cbrt-unprod_binary64_20912` `pow-plus_binary64_20942` `sqr-abs_binary64_20894`

Counts

4 → 101

Calls

4 calls:

16.0ms	(.f64 (sqrt.f64 (+.f64 (.f64 x (+.f64 x (.f64 2 y))) (.f64 y y))) (sqrt.f64 (+.f64 (.f64 x (+.f64 x (.f64 2 y))) (*.f64 y y))))
6.0ms	(+.f64 (.f64 x (+.f64 x (.f64 2 y))) (*.f64 y y))
6.0ms	(sqrt.f64 (+.f64 (.f64 x (+.f64 x (.f64 2 y))) (*.f64 y y)))
6.0ms	(sqrt.f64 (+.f64 (.f64 x (+.f64 x (.f64 2 y))) (*.f64 y y)))

series135.0ms (9.7%)

Counts

4 → 12

Calls

4 calls:

47.0ms	(sqrt.f64 (+.f64 (.f64 x (+.f64 x (.f64 2 y))) (*.f64 y y)))
42.0ms	(sqrt.f64 (+.f64 (.f64 x (+.f64 x (.f64 2 y))) (*.f64 y y)))
25.0ms	(.f64 (sqrt.f64 (+.f64 (.f64 x (+.f64 x (.f64 2 y))) (.f64 y y))) (sqrt.f64 (+.f64 (.f64 x (+.f64 x (.f64 2 y))) (*.f64 y y))))
20.0ms	(+.f64 (.f64 x (+.f64 x (.f64 2 y))) (*.f64 y y))

simplify107.0ms (7.8%)

Algorithm

1×	egg-herbie

Counts

113 → 113

Iterations

Useful iterations: 0 (77.0ms)

Iter	Nodes	Cost
0	4955	2538
1	4955	2538

prune130.0ms (9.4%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	113	0	113
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	113	2	115

Error

Counts

115 → 2

Compiler

Compiled 3131 to 1750 computations (44.1% saved)

regimes35.0ms (2.5%)

Accuracy

Total 0.0b remaining (44.8%)

Threshold costs 0.0b (44.8%)

Compiler

Compiled 219 to 158 computations (27.9% saved)

bsearch0.0ms (0%)

simplify4.0ms (0.3%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	13	16
1	13	16

Compiler

Compiled 22 to 16 computations (27.3% saved)

end0.0ms (0%)

sample537.0ms (38.8%)

Algorithm

1×

intervals

Results

259.0ms	8000×	body	128	valid
6.0ms	201×	body	128	invalid

Compiler

Compiled 101 to 73 computations (27.7% saved)

Details

analyze191.0ms (13.8%)

sample19.0ms (1.4%)

simplify8.0ms (0.6%)

prune3.0ms (0.2%)

localize7.0ms (0.5%)

rewrite14.0ms (1%)

series47.0ms (3.4%)

simplify56.0ms (4%)

prune33.0ms (2.4%)

localize9.0ms (0.7%)

rewrite49.0ms (3.5%)

series135.0ms (9.7%)

simplify107.0ms (7.8%)

prune130.0ms (9.4%)

regimes35.0ms (2.5%)

bsearch0.0ms (0%)

simplify4.0ms (0.3%)

end0.0ms (0%)

sample537.0ms (38.8%)

Profiling