Details

analyze63.0ms (3.6%)

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)

sample17.0ms (1%)

Algorithm

1×

intervals

Results

7.0ms

256×

body

128

valid

Compiler

Compiled 23 to 19 computations (17.4% saved)

simplify173.0ms (9.9%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	24	13
1	24	13

prune5.0ms (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

Merged error: 0.0b

Counts

2 → 2

Compiler

Compiled 49 to 37 computations (24.5% saved)

localize10.0ms (0.6%)

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))

rewrite13.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Rules

9×	`add-log-exp_binary64_11814`
4×	`sum-log_binary64_11866`
2×	`flip3-+_binary64_11778` `flip-+_binary64_11749` `add-cube-cbrt_binary64_11810` `pow1_binary64_11836` `*-un-lft-identity_binary64_11775` `add-cbrt-cube_binary64_11811` `add-exp-log_binary64_11813` `add-sqr-sqrt_binary64_11797` `+-commutative_binary64_11705`
1×	`associate-+l+_binary64_11708` `distribute-lft-out_binary64_11726`

Counts

2 → 25

Calls

2 calls:

7.0ms	(+.f64 (+.f64 (.f64 x 2) (.f64 x x)) (*.f64 y y))
4.0ms	(+.f64 (.f64 x 2) (.f64 x x))

series117.0ms (6.7%)

Counts

2 → 6

Calls

2 calls:

77.0ms	(+.f64 (.f64 x 2) (.f64 x x))
40.0ms	(+.f64 (+.f64 (.f64 x 2) (.f64 x x)) (*.f64 y y))

simplify69.0ms (4%)

Algorithm

1×	egg-herbie

Counts

31 → 31

Iterations

Useful iterations: 0 (60.0ms)

Iter	Nodes	Cost
0	4941	439
1	4941	439

prune28.0ms (1.6%)

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 501 to 280 computations (44.1% saved)

localize12.0ms (0.7%)

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)))

rewrite54.0ms (3.1%)

Algorithm

1×	rewrite-expression-head

Rules

16×	`add-sqr-sqrt_binary64_11797`
14×	`*-un-lft-identity_binary64_11775`
13×	`cancel-sign-sub-inv_binary64_11741`
12×	`add-cube-cbrt_binary64_11810`
11×	`add-cbrt-cube_binary64_11811` `add-exp-log_binary64_11813`
8×	`add-log-exp_binary64_11814`
6×	`pow1_binary64_11836`
5×	`associate-r_binary64_11715`
4×	`flip3--_binary64_11779` `distribute-rgt-in_binary64_11725` `flip--_binary64_11750` `associate-*r/_binary64_11717` `distribute-lft-in_binary64_11724`
3×	`associate-l_binary64_11716` `unpow-prod-down_binary64_11854` `sub-neg_binary64_11768` `associate-/l*_binary64_11720` `times-frac_binary64_11781`
2×	`associate-/l/_binary64_11722` `prod-exp_binary64_11824` `associate-/r/_binary64_11721` `div-sub_binary64_11780` `cbrt-unprod_binary64_11808` `div-exp_binary64_11826` `cbrt-undiv_binary64_11809`
1×	`flip3-+_binary64_11778` `flip-+_binary64_11749` `pow-prod-down_binary64_11846` `-commutative_binary64_11706` `clear-num_binary64_11774` `diff-log_binary64_11867` `div-inv_binary64_11772` `+-commutative_binary64_11705` `frac-2neg_binary64_11786` `sqr-pow_binary64_11747` `unswap-sqr_binary64_11743` `sum-log_binary64_11866` `associate-/r_binary64_11719` `distribute-lft-out--_binary64_11727` `difference-of-squares_binary64_11744` `associate-+l-_binary64_11710`

Counts

4 → 86

Calls

4 calls:

16.0ms	(+.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)))
8.0ms	(*.f64 x (-.f64 2 x))
7.0ms	(-.f64 (.f64 x (.f64 x 4)) (pow.f64 x 4))

series492.0ms (28.2%)

Counts

4 → 12

Calls

4 calls:

230.0ms	(/.f64 (-.f64 (.f64 x (.f64 x 4)) (pow.f64 x 4)) (*.f64 x (-.f64 2 x)))
127.0ms	(-.f64 (.f64 x (.f64 x 4)) (pow.f64 x 4))
78.0ms	(+.f64 (/.f64 (-.f64 (.f64 x (.f64 x 4)) (pow.f64 x 4)) (.f64 x (-.f64 2 x))) (.f64 y y))
56.0ms	(*.f64 x (-.f64 2 x))

simplify84.0ms (4.8%)

Algorithm

1×	egg-herbie

Counts

98 → 98

Iterations

Useful iterations: 0 (62.0ms)

Iter	Nodes	Cost
0	4936	1697
1	4936	1697

prune105.0ms (6%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	98	0	98
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	98	2	100

Merged error: 0b

Counts

100 → 2

Compiler

Compiled 2331 to 1407 computations (39.6% saved)

regimes44.0ms (2.5%)

Compiler: Compiled 196 to 152 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%)

sample455.0ms (26.1%)

Algorithm

1×

intervals

Results

233.0ms	8000×	body	128	valid
0.0ms	4×	body	128	invalid

Compiler

Compiled 64 to 49 computations (23.4% saved)

Details

analyze63.0ms (3.6%)

sample17.0ms (1%)

simplify173.0ms (9.9%)

prune5.0ms (0.3%)

localize10.0ms (0.6%)

rewrite13.0ms (0.8%)

series117.0ms (6.7%)

simplify69.0ms (4%)

prune28.0ms (1.6%)

localize12.0ms (0.7%)

rewrite54.0ms (3.1%)

series492.0ms (28.2%)

simplify84.0ms (4.8%)

prune105.0ms (6%)

regimes44.0ms (2.5%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample455.0ms (26.1%)

Profiling