Details

analyze2.0ms (0.1%)

Algorithm

1×

Search

True	Other	False	Iter
0%	0%	100%	0
0%	0%	100%	1

Compiler

Compiled 16 to 11 computations (31.3% saved)

sample18.0ms (0.6%)

Algorithm

1×

intervals

Results

6.0ms	256×	pre	128	true
4.0ms	256×	body	128	valid

Compiler

Compiled 23 to 17 computations (26.1% saved)

simplify98.0ms (3.5%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	70	10
1	70	10

prune2.0ms (0.1%)

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 → 1

Compiler

Compiled 14 to 8 computations (42.9% saved)

localize7.0ms (0.3%)

Local error

Found 2 expressions with local error:

0.0b	(*.f64 (+.f64 a b) (+.f64 a b))
0.0b	(*.f64 (+.f64 a b) (+.f64 a b))

rewrite12.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

19×	`*-un-lft-identity_binary64_2402`
8×	`pow1_binary64_2463`
7×	`add-sqr-sqrt_binary64_2424`
6×	`flip3-+_binary64_2405` `swap-sqr_binary64_2369` `flip-+_binary64_2376` `distribute-lft-out_binary64_2353`
5×	`add-cube-cbrt_binary64_2437`
4×	`associate-l_binary64_2343` `frac-times_binary64_2412` `associate-r_binary64_2342`
3×	`add-exp-log_binary64_2440` `add-cbrt-cube_binary64_2438`
2×	`associate-r/_binary64_2344` `associate-l/_binary64_2345`
1×	`pow-prod-down_binary64_2473` `*-commutative_binary64_2333` `pow-plus_binary64_2465` `distribute-rgt-in_binary64_2352` `unswap-sqr_binary64_2370` `pow2_binary64_2483` `distribute-lft-in_binary64_2351` `cbrt-unprod_binary64_2435` `prod-exp_binary64_2451` `pow-prod-up_binary64_2472` `pow-sqr_binary64_2375` `add-log-exp_binary64_2441`

Counts

1 → 40

Calls

2 calls:

9.0ms	(*.f64 (+.f64 a b) (+.f64 a b))
0.0ms	(*.f64 (+.f64 a b) (+.f64 a b))

series90.0ms (3.2%)

Counts

1 → 18

Calls

1 calls:

90.0ms

(*.f64 (+.f64 a b) (+.f64 a b))

Compiler

Compiled 228 to 204 computations (10.5% saved)

simplify65.0ms (2.4%)

Algorithm

1×	egg-herbie

Counts

58 → 58

Iterations

Useful iterations: 0 (47.0ms)

Iter	Nodes	Cost
0	4969	634
1	4969	634

prune54.0ms (2%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	55	3	58
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	55	4	59

Error

Counts

59 → 4

Compiler

Compiled 638 to 238 computations (62.7% saved)

localize5.0ms (0.2%)

rewrite0.0ms (0%)

Algorithm

1×	rewrite-expression-head

Rules

Counts

0 → 0

series0.0ms (0%)

Counts: 0 → 0

simplify9.0ms (0.3%)

Algorithm

1×	egg-herbie

Counts

0 → 0

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	0	0

prune4.0ms (0.1%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Kept	Total
New	0	0
Fresh	2	2
Picked	1	1
Done	1	1
Total	4	4

Error

Counts

4 → 4

Compiler

Compiled 64 to 36 computations (43.8% saved)

localize17.0ms (0.6%)

Local error

Found 8 expressions with local error:

0.0b	(+.f64 (.f64 a a) (.f64 b (-.f64 b a)))
0.0b	(*.f64 b (-.f64 b a))
0.0b	(-.f64 (.f64 a a) (.f64 b b))
0.0b	(+.f64 (pow.f64 a 3) (pow.f64 b 3))
0.0b	(+.f64 (.f64 a a) (.f64 b (-.f64 b a)))
0.3b	(.f64 (+.f64 (.f64 a a) (*.f64 b (-.f64 b a))) (-.f64 a b))
0.3b	(.f64 (+.f64 (pow.f64 a 3) (pow.f64 b 3)) (-.f64 (.f64 a a) (*.f64 b b)))
0.3b	(/.f64 (.f64 (+.f64 (pow.f64 a 3) (pow.f64 b 3)) (-.f64 (.f64 a a) (.f64 b b))) (.f64 (+.f64 (.f64 a a) (.f64 b (-.f64 b a))) (-.f64 a b)))

rewrite81.0ms (2.9%)

Algorithm

1×	rewrite-expression-head

Rules

24×	`*-un-lft-identity_binary64_2402`
20×	`add-exp-log_binary64_2440` `add-cbrt-cube_binary64_2438`
18×	`add-sqr-sqrt_binary64_2424`
16×	`frac-times_binary64_2412`
14×	`cancel-sign-sub-inv_binary64_2368`
13×	`flip3-+_binary64_2405` `flip-+_binary64_2376`
12×	`flip--_binary64_2377` `associate-l_binary64_2343` `flip3--_binary64_2406` `add-cube-cbrt_binary64_2437`
10×	`distribute-rgt-in_binary64_2352` `distribute-lft-in_binary64_2351`
9×	`associate-r_binary64_2342`
8×	`associate-+r+_binary64_2334` `pow1_binary64_2463` `associate-/l/_binary64_2349` `associate-r/_binary64_2344` `associate-l/_binary64_2345` `associate-/r/_binary64_2348`
6×	`cbrt-unprod_binary64_2435` `prod-exp_binary64_2451` `sub-neg_binary64_2395` `add-log-exp_binary64_2441`
5×	`distribute-lft-out_binary64_2353`
4×	`cbrt-undiv_binary64_2436` `div-exp_binary64_2453` `unpow-prod-down_binary64_2481` `cube-prod_binary64_2430`
2×	`pow-prod-down_binary64_2473` `*-commutative_binary64_2333` `unswap-sqr_binary64_2370` `difference-of-squares_binary64_2371`
1×	`+-commutative_binary64_2332` `clear-num_binary64_2401` `associate-/r_binary64_2346` `associate-/l_binary64_2347` `frac-2neg_binary64_2413` `div-inv_binary64_2399` `sum-log_binary64_2493` `sum-cubes_binary64_2403` `times-frac_binary64_2408` `distribute-lft-out--_binary64_2354`

Counts

4 → 129

Calls

8 calls:

28.0ms	(/.f64 (.f64 (+.f64 (pow.f64 a 3) (pow.f64 b 3)) (-.f64 (.f64 a a) (.f64 b b))) (.f64 (+.f64 (.f64 a a) (.f64 b (-.f64 b a))) (-.f64 a b)))
18.0ms	(.f64 (+.f64 (pow.f64 a 3) (pow.f64 b 3)) (-.f64 (.f64 a a) (*.f64 b b)))
10.0ms	(.f64 (+.f64 (.f64 a a) (*.f64 b (-.f64 b a))) (-.f64 a b))
8.0ms	(+.f64 (.f64 a a) (.f64 b (-.f64 b a)))
0.0ms	(+.f64 (pow.f64 a 3) (pow.f64 b 3))

series769.0ms (27.9%)

Counts

4 → 63

Calls

4 calls:

464.0ms	(/.f64 (.f64 (+.f64 (pow.f64 a 3) (pow.f64 b 3)) (-.f64 (.f64 a a) (.f64 b b))) (.f64 (+.f64 (.f64 a a) (.f64 b (-.f64 b a))) (-.f64 a b)))
123.0ms	(.f64 (+.f64 (pow.f64 a 3) (pow.f64 b 3)) (-.f64 (.f64 a a) (*.f64 b b)))
92.0ms	(.f64 (+.f64 (.f64 a a) (*.f64 b (-.f64 b a))) (-.f64 a b))
91.0ms	(+.f64 (.f64 a a) (.f64 b (-.f64 b a)))

Compiler

Compiled 1890 to 1377 computations (27.1% saved)

simplify105.0ms (3.8%)

Algorithm

1×	egg-herbie

Counts

192 → 192

Iterations

Useful iterations: 0 (60.0ms)

Iter	Nodes	Cost
0	4977	4666
1	4977	4666

prune235.0ms (8.5%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	191	1	192
Fresh	1	0	1
Picked	1	0	1
Done	0	2	2
Total	193	3	196

Error

Counts

196 → 3

Compiler

Compiled 6361 to 2121 computations (66.7% saved)

localize7.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 (.f64 a a) (.f64 b (+.f64 b (*.f64 a 2))))
0.0b	(.f64 b (+.f64 b (.f64 a 2)))
0.0b	(.f64 b (+.f64 b (.f64 a 2)))
0.0b	(+.f64 (.f64 a a) (.f64 b (+.f64 b (*.f64 a 2))))

rewrite14.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

6×	`add-sqr-sqrt_binary64_2424`
4×	`*-un-lft-identity_binary64_2402` `pow1_binary64_2463` `add-exp-log_binary64_2440` `add-cbrt-cube_binary64_2438` `add-cube-cbrt_binary64_2437` `add-log-exp_binary64_2441`
3×	`associate-l_binary64_2343` `associate-r_binary64_2342`
2×	`flip3-+_binary64_2405` `associate-+r+_binary64_2334` `distribute-rgt-in_binary64_2352` `distribute-lft-in_binary64_2351` `flip-+_binary64_2376` `associate-*r/_binary64_2344`
1×	`+-commutative_binary64_2332` `pow-prod-down_binary64_2473` `*-commutative_binary64_2333` `unswap-sqr_binary64_2370` `cbrt-unprod_binary64_2435` `prod-exp_binary64_2451` `sum-log_binary64_2493`

Counts

2 → 35

Calls

4 calls:

5.0ms	(.f64 b (+.f64 b (.f64 a 2)))
4.0ms	(+.f64 (.f64 a a) (.f64 b (+.f64 b (*.f64 a 2))))
0.0ms	(.f64 b (+.f64 b (.f64 a 2)))
0.0ms	(+.f64 (.f64 a a) (.f64 b (+.f64 b (*.f64 a 2))))

series238.0ms (8.6%)

Counts

2 → 30

Calls

2 calls:

149.0ms	(+.f64 (.f64 a a) (.f64 b (+.f64 b (*.f64 a 2))))
89.0ms	(.f64 b (+.f64 b (.f64 a 2)))

Compiler

Compiled 432 to 363 computations (16% saved)

simplify61.0ms (2.2%)

Algorithm

1×	egg-herbie

Counts

65 → 65

Iterations

Useful iterations: 0 (48.0ms)

Iter	Nodes	Cost
0	5032	841

prune42.0ms (1.5%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	65	0	65
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	65	3	68

Error

Counts

68 → 3

Compiler

Compiled 860 to 432 computations (49.8% saved)

regimes97.0ms (3.5%)

Accuracy

Total 0.0b remaining (94.2%)

Threshold costs 0.0b (94.2%)

Compiler

Compiled 682 to 469 computations (31.2% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	16
1	13	16

end0.0ms (0%)

sample726.0ms (26.3%)

Algorithm

1×

intervals

Results

194.0ms	8000×	pre	128	true
143.0ms	8000×	body	128	valid

Compiler

Compiled 196 to 131 computations (33.2% saved)

Pareto

Details

analyze2.0ms (0.1%)

sample18.0ms (0.6%)

simplify98.0ms (3.5%)

prune2.0ms (0.1%)

localize7.0ms (0.3%)

rewrite12.0ms (0.4%)

series90.0ms (3.2%)

simplify65.0ms (2.4%)

prune54.0ms (2%)

localize5.0ms (0.2%)

rewrite0.0ms (0%)

series0.0ms (0%)

simplify9.0ms (0.3%)

prune4.0ms (0.1%)

localize17.0ms (0.6%)

rewrite81.0ms (2.9%)

series769.0ms (27.9%)

simplify105.0ms (3.8%)

prune235.0ms (8.5%)

localize7.0ms (0.3%)

rewrite14.0ms (0.5%)

series238.0ms (8.6%)

simplify61.0ms (2.2%)

prune42.0ms (1.5%)

regimes97.0ms (3.5%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample726.0ms (26.3%)

Profiling