Details

analyze75.0ms (4.3%)

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
25%	74.9%	0.1%	5
25%	62.4%	12.6%	6
25%	40.6%	34.4%	7
31.2%	25%	43.8%	8
39%	17.2%	43.8%	9
42.9%	13.3%	43.8%	10
47.2%	9%	43.8%	11
49.4%	6.8%	43.8%	12
51.6%	4.6%	43.8%	13
52.7%	3.5%	43.8%	14

Compiler

Compiled 12 to 9 computations (25% saved)

sample14.0ms (0.8%)

Algorithm

1×

intervals

Results

7.0ms

256×

body

128

valid

Compiler

Compiled 23 to 19 computations (17.4% saved)

simplify167.0ms (9.6%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	24	13
1	24	13

prune4.0ms (0.2%)

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

Compiler

Compiled 29 to 22 computations (24.1% saved)

localize7.0ms (0.4%)

Local error

Found 2 expressions with local error:

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

rewrite14.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Rules

9×	`add-log-exp_binary64_12582`
4×	`sum-log_binary64_12634`
2×	`flip-+_binary64_12520` `*-un-lft-identity_binary64_12546` `flip3-+_binary64_12549` `+-commutative_binary64_12478` `add-cbrt-cube_binary64_12579` `pow1_binary64_12604` `add-cube-cbrt_binary64_12578` `add-exp-log_binary64_12581` `add-sqr-sqrt_binary64_12567`
1×	`distribute-lft-out_binary64_12499` `associate-+l+_binary64_12481`

Counts

2 → 25

Calls

2 calls:

7.0ms	(+.f64 (+.f64 (.f64 x 2) (.f64 x x)) (*.f64 y y))
5.0ms	(+.f64 (.f64 x 2) (.f64 x x))

series116.0ms (6.7%)

Counts

2 → 6

Calls

2 calls:

75.0ms	(+.f64 (.f64 x 2) (.f64 x x))
41.0ms	(+.f64 (+.f64 (.f64 x 2) (.f64 x x)) (*.f64 y y))

simplify63.0ms (3.6%)

Algorithm

1×	egg-herbie

Counts

31 → 31

Iterations

Useful iterations: 0 (53.0ms)

Iter	Nodes	Cost
0	4990	439
1	4990	439

prune23.0ms (1.3%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	30	1	31
Fresh	1	0	1
Picked	0	1	1
Done	0	0	0
Total	31	2	33

Merged error: 0b

Counts

33 → 2

Compiler

Compiled 462 to 251 computations (45.7% saved)

localize14.0ms (0.8%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 (/.f64 (-.f64 (.f64 x (.f64 x 4)) (pow.f64 x 4)) (.f64 x (-.f64 2 x))) (.f64 y y))
0.0b	(*.f64 x (-.f64 2 x))
0.0b	(-.f64 (.f64 x (.f64 x 4)) (pow.f64 x 4))
31.6b	(/.f64 (-.f64 (.f64 x (.f64 x 4)) (pow.f64 x 4)) (*.f64 x (-.f64 2 x)))

rewrite50.0ms (2.8%)

Algorithm

1×	rewrite-expression-head

Rules

12×	`add-sqr-sqrt_binary64_12567`
11×	`add-cbrt-cube_binary64_12579` `add-exp-log_binary64_12581`
10×	`*-un-lft-identity_binary64_12546`
8×	`add-cube-cbrt_binary64_12578` `add-log-exp_binary64_12582`
6×	`pow1_binary64_12604`
5×	`associate-r_binary64_12488`
4×	`flip--_binary64_12521` `associate-*r/_binary64_12490` `flip3--_binary64_12550`
3×	`times-frac_binary64_12552` `associate-/l_binary64_12493` `sub-neg_binary64_12539` `associate-l*_binary64_12489`
2×	`associate-/l/_binary64_12495` `prod-exp_binary64_12592` `cbrt-undiv_binary64_12577` `associate-/r/_binary64_12494` `div-sub_binary64_12551` `div-exp_binary64_12594` `cbrt-unprod_binary64_12576`
1×	`flip-+_binary64_12520` `diff-log_binary64_12635` `associate-+l-_binary64_12483` `distribute-rgt-in_binary64_12498` `distribute-lft-out--_binary64_12500` `unswap-sqr_binary64_12514` `distribute-lft-in_binary64_12497` `pow-prod-down_binary64_12614` `flip3-+_binary64_12549` `+-commutative_binary64_12478` `sum-log_binary64_12634` `div-inv_binary64_12543` `difference-of-squares_binary64_12515` `-commutative_binary64_12479` `clear-num_binary64_12545` `associate-/r_binary64_12492` `frac-2neg_binary64_12557`

Counts

4 → 73

Calls

4 calls:

15.0ms	(+.f64 (/.f64 (-.f64 (.f64 x (.f64 x 4)) (pow.f64 x 4)) (.f64 x (-.f64 2 x))) (.f64 y y))
14.0ms	(/.f64 (-.f64 (.f64 x (.f64 x 4)) (pow.f64 x 4)) (*.f64 x (-.f64 2 x)))
7.0ms	(*.f64 x (-.f64 2 x))
7.0ms	(-.f64 (.f64 x (.f64 x 4)) (pow.f64 x 4))

series494.0ms (28.3%)

Counts

4 → 12

Calls

4 calls:

225.0ms	(/.f64 (-.f64 (.f64 x (.f64 x 4)) (pow.f64 x 4)) (*.f64 x (-.f64 2 x)))
126.0ms	(-.f64 (.f64 x (.f64 x 4)) (pow.f64 x 4))
75.0ms	(+.f64 (/.f64 (-.f64 (.f64 x (.f64 x 4)) (pow.f64 x 4)) (.f64 x (-.f64 2 x))) (.f64 y y))
67.0ms	(*.f64 x (-.f64 2 x))

simplify62.0ms (3.5%)

Algorithm

1×	egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 0 (43.0ms)

Iter	Nodes	Cost
0	5894	1595

prune93.0ms (5.3%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	85	0	85
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	85	2	87

Merged error: 0b

Counts

87 → 2

Compiler

Compiled 2059 to 1256 computations (39% saved)

regimes52.0ms (3%)

Compiler: Compiled 241 to 187 computations (22.4% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	12	16
1	12	16

end0.0ms (0%)

sample497.0ms (28.5%)

Algorithm

1×

intervals

Results

244.0ms	8000×	body	128	valid
0.0ms	4×	body	128	invalid

Compiler

Compiled 73 to 56 computations (23.3% saved)

Details

analyze75.0ms (4.3%)

sample14.0ms (0.8%)

simplify167.0ms (9.6%)

prune4.0ms (0.2%)

localize7.0ms (0.4%)

rewrite14.0ms (0.8%)

series116.0ms (6.7%)

simplify63.0ms (3.6%)

prune23.0ms (1.3%)

localize14.0ms (0.8%)

rewrite50.0ms (2.8%)

series494.0ms (28.3%)

simplify62.0ms (3.5%)

prune93.0ms (5.3%)

regimes52.0ms (3%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample497.0ms (28.5%)

Profiling