Details

analyze106.0ms (1.5%)

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)

sample25.0ms (0.3%)

Algorithm

1×

intervals

Results

13.0ms

256×

body

128

valid

Compiler

Compiled 23 to 19 computations (17.4% saved)

simplify142.0ms (2%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	24	13
1	24	13

prune8.0ms (0.1%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Error

0.0b

Counts

2 → 1

Compiler

Compiled 20 to 15 computations (25% saved)

localize14.0ms (0.2%)

Local error

Found 4 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))
0.0b	(+.f64 (.f64 x 2) (.f64 x x))
0.0b	(+.f64 (+.f64 (.f64 x 2) (.f64 x x)) (*.f64 y y))

rewrite24.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

9×	`add-log-exp_binary64_14762`
4×	`sum-log_binary64_14814`
2×	`+-commutative_binary64_14653` `add-cbrt-cube_binary64_14759` `*-un-lft-identity_binary64_14723` `flip-+_binary64_14697` `add-exp-log_binary64_14761` `add-sqr-sqrt_binary64_14745` `pow1_binary64_14784` `flip3-+_binary64_14726` `add-cube-cbrt_binary64_14758`
1×	`distribute-lft-out_binary64_14674` `associate-+l+_binary64_14656`

Counts

2 → 25

Calls

4 calls:

13.0ms	(+.f64 (+.f64 (.f64 x 2) (.f64 x x)) (*.f64 y y))
7.0ms	(+.f64 (.f64 x 2) (.f64 x x))
0.0ms	(+.f64 (.f64 x 2) (.f64 x x))
0.0ms	(+.f64 (+.f64 (.f64 x 2) (.f64 x x)) (*.f64 y y))

series271.0ms (3.8%)

Counts

2 → 21

Calls

2 calls:

210.0ms	(+.f64 (+.f64 (.f64 x 2) (.f64 x x)) (*.f64 y y))
61.0ms	(+.f64 (.f64 x 2) (.f64 x x))

Compiler

Compiled 262 to 240 computations (8.4% saved)

simplify118.0ms (1.6%)

Algorithm

1×	egg-herbie

Counts

46 → 46

Iterations

Useful iterations: 0 (107.0ms)

Iter	Nodes	Cost
0	4963	541
1	4963	541

prune69.0ms (1%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	44	2	46
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	44	3	47

Error

0.0b

Counts

47 → 3

Compiler

Compiled 584 to 300 computations (48.6% saved)

localize27.0ms (0.4%)

Local error

Found 8 expressions with local error:

0.1b	(.f64 x (.f64 (+.f64 x 2) (+.f64 x 2)))
0.0b	(*.f64 (+.f64 x 2) (+.f64 x 2))
0.0b	(*.f64 x (+.f64 x 2))
0.0b	(-.f64 (.f64 x (+.f64 x 2)) (.f64 y y))
0.1b	(.f64 x (.f64 (+.f64 x 2) (+.f64 x 2)))
0.1b	(.f64 x (.f64 x (*.f64 (+.f64 x 2) (+.f64 x 2))))
1.4b	(-.f64 (.f64 x (.f64 x (*.f64 (+.f64 x 2) (+.f64 x 2)))) (pow.f64 y 4))
24.3b	(/.f64 (-.f64 (.f64 x (.f64 x (.f64 (+.f64 x 2) (+.f64 x 2)))) (pow.f64 y 4)) (-.f64 (.f64 x (+.f64 x 2)) (*.f64 y y)))

rewrite143.0ms (2%)

Algorithm

1×	rewrite-expression-head

Rules

28×	`distribute-rgt-in_binary64_14673` `distribute-lft-in_binary64_14672` `associate-*r/_binary64_14665`
20×	`add-cbrt-cube_binary64_14759` `add-exp-log_binary64_14761`
18×	`pow1_binary64_14784`
17×	`add-sqr-sqrt_binary64_14745`
16×	`*-un-lft-identity_binary64_14723` `add-cube-cbrt_binary64_14758`
12×	`flip-+_binary64_14697` `flip3-+_binary64_14726`
9×	`times-frac_binary64_14729` `pow-prod-down_binary64_14794` `prod-exp_binary64_14772` `cbrt-unprod_binary64_14756`
8×	`associate--l+_binary64_14660` `frac-times_binary64_14733`
7×	`cancel-sign-sub-inv_binary64_14689`
6×	`associate-l_binary64_14664` `add-log-exp_binary64_14762`
4×	`associate-*l/_binary64_14666`
3×	`unpow-prod-down_binary64_14802` `associate-/r_binary64_14667` `flip--_binary64_14698` `associate-/l_binary64_14668` `flip3--_binary64_14727`
2×	`associate-/r/_binary64_14669` `associate-r_binary64_14663` `*-commutative_binary64_14654` `associate-/l/_binary64_14670`
1×	`div-sub_binary64_14728` `unswap-sqr_binary64_14691` `div-inv_binary64_14720` `sqr-pow_binary64_14695` `cbrt-undiv_binary64_14757` `clear-num_binary64_14722` `frac-2neg_binary64_14734` `div-exp_binary64_14774` `sub-neg_binary64_14716` `diff-log_binary64_14815`

Counts

4 → 126

Calls

8 calls:

32.0ms	(.f64 x (.f64 x (*.f64 (+.f64 x 2) (+.f64 x 2))))
32.0ms	(-.f64 (.f64 x (.f64 x (*.f64 (+.f64 x 2) (+.f64 x 2)))) (pow.f64 y 4))
26.0ms	(/.f64 (-.f64 (.f64 x (.f64 x (.f64 (+.f64 x 2) (+.f64 x 2)))) (pow.f64 y 4)) (-.f64 (.f64 x (+.f64 x 2)) (*.f64 y y)))
22.0ms	(.f64 x (.f64 (+.f64 x 2) (+.f64 x 2)))
0.0ms	(-.f64 (.f64 x (+.f64 x 2)) (.f64 y y))

series1.3s (17.4%)

Counts

4 → 51

Calls

4 calls:

586.0ms	(/.f64 (-.f64 (.f64 x (.f64 x (.f64 (+.f64 x 2) (+.f64 x 2)))) (pow.f64 y 4)) (-.f64 (.f64 x (+.f64 x 2)) (*.f64 y y)))
432.0ms	(-.f64 (.f64 x (.f64 x (*.f64 (+.f64 x 2) (+.f64 x 2)))) (pow.f64 y 4))
124.0ms	(.f64 x (.f64 x (*.f64 (+.f64 x 2) (+.f64 x 2))))
107.0ms	(.f64 x (.f64 (+.f64 x 2) (+.f64 x 2)))

Compiler

Compiled 1526 to 1226 computations (19.7% saved)

simplify133.0ms (1.9%)

Algorithm

1×	egg-herbie

Counts

177 → 177

Iterations

Useful iterations: 0 (65.0ms)

Iter	Nodes	Cost
0	5513	3468

prune354.0ms (4.9%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	176	1	177
Fresh	1	0	1
Picked	1	0	1
Done	0	1	1
Total	178	2	180

Error

0.0b

Counts

180 → 2

Compiler

Compiled 4925 to 3064 computations (37.8% saved)

localize14.0ms (0.2%)

Local error

Found 8 expressions with local error:

0.0b	(*.f64 x (+.f64 x 2))
0.0b	(-.f64 (.f64 x (+.f64 x 2)) (.f64 y y))
0.0b	(-.f64 (.f64 x (+.f64 x 2)) (.f64 y y))
0.0b	(-.f64 (/.f64 (pow.f64 (.f64 x (+.f64 x 2)) 2) (-.f64 (.f64 x (+.f64 x 2)) (.f64 y y))) (/.f64 (pow.f64 y 4) (-.f64 (.f64 x (+.f64 x 2)) (*.f64 y y))))
0.0b	(*.f64 x (+.f64 x 2))
0.1b	(pow.f64 (*.f64 x (+.f64 x 2)) 2)
11.7b	(/.f64 (pow.f64 y 4) (-.f64 (.f64 x (+.f64 x 2)) (.f64 y y)))
19.6b	(/.f64 (pow.f64 (.f64 x (+.f64 x 2)) 2) (-.f64 (.f64 x (+.f64 x 2)) (*.f64 y y)))

rewrite97.0ms (1.3%)

Algorithm

1×	rewrite-expression-head

Rules

39×	`times-frac_binary64_14729`
36×	`*-un-lft-identity_binary64_14723` `add-sqr-sqrt_binary64_14745`
34×	`add-cube-cbrt_binary64_14758`
22×	`add-exp-log_binary64_14761`
17×	`unpow-prod-down_binary64_14802`
13×	`associate-/l*_binary64_14668`
10×	`add-cbrt-cube_binary64_14759`
9×	`sqr-pow_binary64_14695` `pow1_binary64_14784`
7×	`div-exp_binary64_14774`
6×	`associate-/r*_binary64_14667`
5×	`pow-exp_binary64_14791` `unpow2_binary64_14788`
4×	`associate-/r/_binary64_14669` `associate-r_binary64_14663` `add-log-exp_binary64_14762`
3×	`prod-exp_binary64_14772` `associate-l_binary64_14664` `pow-unpow_binary64_14800` `pow-to-exp_binary64_14792`
2×	`pow-prod-down_binary64_14794` `div-inv_binary64_14720` `cbrt-undiv_binary64_14757` `clear-num_binary64_14722` `frac-2neg_binary64_14734` `flip--_binary64_14698` `pow-pow_binary64_14795` `flip3--_binary64_14727` `associate-*r/_binary64_14665`
1×	`distribute-lft-out_binary64_14674` `unswap-sqr_binary64_14691` `*-commutative_binary64_14654` `flip-+_binary64_14697` `distribute-rgt-in_binary64_14673` `flip3-+_binary64_14726` `distribute-lft-in_binary64_14672` `cbrt-unprod_binary64_14756`

Counts

4 → 132

Calls

8 calls:

22.0ms	(/.f64 (pow.f64 (.f64 x (+.f64 x 2)) 2) (-.f64 (.f64 x (+.f64 x 2)) (*.f64 y y)))
19.0ms	(/.f64 (pow.f64 y 4) (-.f64 (.f64 x (+.f64 x 2)) (.f64 y y)))
12.0ms	(*.f64 x (+.f64 x 2))
11.0ms	(pow.f64 (*.f64 x (+.f64 x 2)) 2)
0.0ms	(-.f64 (/.f64 (pow.f64 (.f64 x (+.f64 x 2)) 2) (-.f64 (.f64 x (+.f64 x 2)) (.f64 y y))) (/.f64 (pow.f64 y 4) (-.f64 (.f64 x (+.f64 x 2)) (*.f64 y y))))

series815.0ms (11.3%)

Counts

4 → 49

Calls

4 calls:

399.0ms	(/.f64 (pow.f64 (.f64 x (+.f64 x 2)) 2) (-.f64 (.f64 x (+.f64 x 2)) (*.f64 y y)))
250.0ms	(/.f64 (pow.f64 y 4) (-.f64 (.f64 x (+.f64 x 2)) (.f64 y y)))
85.0ms	(pow.f64 (*.f64 x (+.f64 x 2)) 2)
80.0ms	(*.f64 x (+.f64 x 2))

Compiler

Compiled 2782 to 2115 computations (24% saved)

simplify186.0ms (2.6%)

Algorithm

1×	egg-herbie

Counts

181 → 181

Iterations

Useful iterations: 0 (103.0ms)

Iter	Nodes	Cost
0	5096	4760

prune523.0ms (7.3%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	181	0	181
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	181	2	183

Error

0.0b

Counts

183 → 2

Compiler

Compiled 7110 to 4184 computations (41.2% saved)

simplify6.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	109	358
1	109	358

regimes394.0ms (5.5%)

Accuracy

Total 0.0b remaining (75.4%)

Threshold costs 0.0b (75.4%)

Compiler

Compiled 1004 to 754 computations (24.9% saved)

bsearch0.0ms (0%)

simplify3.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	12	16
1	12	16

end0.0ms (0%)

sample2.5s (34.3%)

Algorithm

1×

intervals

Results

428.0ms	8000×	body	128	valid
0.0ms	2×	body	128	invalid

Compiler

Compiled 758 to 565 computations (25.5% saved)

Pareto

0.13691339963577842

Details

analyze106.0ms (1.5%)

sample25.0ms (0.3%)

simplify142.0ms (2%)

prune8.0ms (0.1%)

localize14.0ms (0.2%)

rewrite24.0ms (0.3%)

series271.0ms (3.8%)

simplify118.0ms (1.6%)

prune69.0ms (1%)

localize27.0ms (0.4%)

rewrite143.0ms (2%)

series1.3s (17.4%)

simplify133.0ms (1.9%)

prune354.0ms (4.9%)

localize14.0ms (0.2%)

rewrite97.0ms (1.3%)

series815.0ms (11.3%)

simplify186.0ms (2.6%)

prune523.0ms (7.3%)

simplify6.0ms (0.1%)

regimes394.0ms (5.5%)

bsearch0.0ms (0%)

simplify3.0ms (0%)

end0.0ms (0%)

sample2.5s (34.3%)

Profiling