Details

analyze1.2s (6.3%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.7%	0.3%	0
0%	99.7%	0.3%	1
0%	99.7%	0.3%	2
0%	99.7%	0.3%	3
0%	99.7%	0.3%	4
0%	99.7%	0.3%	5
0%	99.7%	0.3%	6
0%	99.7%	0.3%	7
0%	99.7%	0.3%	8
0%	99.7%	0.3%	9
0%	99.7%	0.3%	10
0%	99.7%	0.3%	11
0%	99.7%	0.3%	12
1.6%	98.1%	0.3%	13
3.1%	96.6%	0.3%	14

Compiler

Compiled 12 to 12 computations (0% saved)

sample31.0ms (0.2%)

Algorithm

1×

intervals

Results

9.0ms	256×	body	128	valid
4.0ms	119×	body	128	invalid

Compiler

Compiled 23 to 29 computations (-26.1% saved)

simplify101.0ms (0.5%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	25	16
1	25	16

prune2.0ms (0%)

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 22 to 22 computations (0% saved)

localize9.0ms (0%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 (.f64 x y) (.f64 z t))
0.0b	(+.f64 (+.f64 (.f64 x y) (.f64 z t)) (*.f64 a b))
0.0b	(+.f64 (+.f64 (.f64 x y) (.f64 z t)) (*.f64 a b))
0.0b	(+.f64 (.f64 x y) (.f64 z t))

rewrite16.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

9×	`add-log-exp_binary64_2504`
4×	`sum-log_binary64_2556`
2×	`flip3-+_binary64_2468` `*-un-lft-identity_binary64_2465` `+-commutative_binary64_2395` `flip-+_binary64_2439` `add-cube-cbrt_binary64_2500` `add-exp-log_binary64_2503` `add-sqr-sqrt_binary64_2487` `add-cbrt-cube_binary64_2501` `pow1_binary64_2526`
1×	`associate-+l+_binary64_2398`

Counts

2 → 24

Calls

4 calls:

8.0ms	(+.f64 (+.f64 (.f64 x y) (.f64 z t)) (*.f64 a b))
5.0ms	(+.f64 (.f64 x y) (.f64 z t))
0.0ms	(+.f64 (+.f64 (.f64 x y) (.f64 z t)) (*.f64 a b))
0.0ms	(+.f64 (.f64 x y) (.f64 z t))

series415.0ms (2.2%)

Counts

2 → 60

Calls

2 calls:

277.0ms	(+.f64 (+.f64 (.f64 x y) (.f64 z t)) (*.f64 a b))
138.0ms	(+.f64 (.f64 x y) (.f64 z t))

Compiler

Compiled 822 to 906 computations (-10.2% saved)

simplify75.0ms (0.4%)

Algorithm

1×	egg-herbie

Counts

84 → 84

Iterations

Useful iterations: 0 (58.0ms)

Iter	Nodes	Cost
0	5019	1056

prune57.0ms (0.3%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	81	3	84
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	81	4	85

Error

0.0b

Counts

85 → 4

Compiler

Compiled 1037 to 134 computations (87.1% saved)

localize14.0ms (0.1%)

Local error

Found 8 expressions with local error:

0.0b	(+.f64 (.f64 x y) (.f64 z t))
0.0b	(+.f64 (.f64 x y) (.f64 z t))
0.0b	(+.f64 (.f64 x y) (.f64 z t))
0.0b	(+.f64 (.f64 (.f64 (cbrt.f64 (+.f64 (.f64 x y) (.f64 z t))) (cbrt.f64 (+.f64 (.f64 x y) (.f64 z t)))) (cbrt.f64 (+.f64 (.f64 x y) (.f64 z t)))) (*.f64 a b))
0.5b	(.f64 (cbrt.f64 (+.f64 (.f64 x y) (.f64 z t))) (cbrt.f64 (+.f64 (.f64 x y) (*.f64 z t))))
2.0b	(cbrt.f64 (+.f64 (.f64 x y) (.f64 z t)))
2.0b	(cbrt.f64 (+.f64 (.f64 x y) (.f64 z t)))
2.0b	(cbrt.f64 (+.f64 (.f64 x y) (.f64 z t)))

rewrite38.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

25×	`cbrt-prod_binary64_2496`
23×	`add-sqr-sqrt_binary64_2487`
18×	`cbrt-div_binary64_2497`
15×	`*-un-lft-identity_binary64_2465` `add-cube-cbrt_binary64_2500`
11×	`pow1_binary64_2526`
9×	`flip3-+_binary64_2468` `flip-+_binary64_2439` `pow1/3_binary64_2547`
6×	`swap-sqr_binary64_2432` `add-exp-log_binary64_2503` `associate-r_binary64_2405` `associate-l_binary64_2406`
4×	`add-log-exp_binary64_2504` `frac-times_binary64_2475` `unswap-sqr_binary64_2433` `add-cbrt-cube_binary64_2501`
2×	`associate-l/_binary64_2408` `associate-r/_binary64_2407` `pow-prod-down_binary64_2536` `pow-sqr_binary64_2438` `pow-prod-up_binary64_2535`
1×	`*-commutative_binary64_2396` `pow-plus_binary64_2528` `pow2_binary64_2546` `prod-exp_binary64_2514` `cbrt-unprod_binary64_2498`

Counts

4 → 87

Calls

8 calls:

14.0ms	(.f64 (cbrt.f64 (+.f64 (.f64 x y) (.f64 z t))) (cbrt.f64 (+.f64 (.f64 x y) (*.f64 z t))))
4.0ms	(cbrt.f64 (+.f64 (.f64 x y) (.f64 z t)))
4.0ms	(cbrt.f64 (+.f64 (.f64 x y) (.f64 z t)))
4.0ms	(cbrt.f64 (+.f64 (.f64 x y) (.f64 z t)))
0.0ms	(+.f64 (.f64 (.f64 (cbrt.f64 (+.f64 (.f64 x y) (.f64 z t))) (cbrt.f64 (+.f64 (.f64 x y) (.f64 z t)))) (cbrt.f64 (+.f64 (.f64 x y) (.f64 z t)))) (*.f64 a b))

series1.5s (8.1%)

Counts

4 → 104

Calls

4 calls:

429.0ms	(.f64 (cbrt.f64 (+.f64 (.f64 x y) (.f64 z t))) (cbrt.f64 (+.f64 (.f64 x y) (*.f64 z t))))
362.0ms	(cbrt.f64 (+.f64 (.f64 x y) (.f64 z t)))
361.0ms	(cbrt.f64 (+.f64 (.f64 x y) (.f64 z t)))
360.0ms	(cbrt.f64 (+.f64 (.f64 x y) (.f64 z t)))

Compiler

Compiled 8426 to 6082 computations (27.8% saved)

simplify87.0ms (0.5%)

Algorithm

1×	egg-herbie

Counts

191 → 191

Iterations

Useful iterations: 0 (34.0ms)

Iter	Nodes	Cost
0	5448	5500

prune210.0ms (1.1%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	191	0	191
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	191	4	195

Error

0.0b

Counts

195 → 4

Compiler

Compiled 7509 to 1410 computations (81.2% saved)

localize16.0ms (0.1%)

Local error

Found 8 expressions with local error:

33.4b	(cbrt.f64 (pow.f64 (+.f64 (.f64 x y) (.f64 z t)) 3))
0.3b	(pow.f64 (+.f64 (.f64 x y) (.f64 z t)) 3)
0.0b	(+.f64 (.f64 x y) (.f64 z t))
0.0b	(+.f64 (cbrt.f64 (pow.f64 (+.f64 (.f64 x y) (.f64 z t)) 3)) (*.f64 a b))
0.0b	(+.f64 (cbrt.f64 (pow.f64 (+.f64 (.f64 x y) (.f64 z t)) 3)) (*.f64 a b))
0.0b	(+.f64 (.f64 x y) (.f64 z t))
0.3b	(pow.f64 (+.f64 (.f64 x y) (.f64 z t)) 3)
33.4b	(cbrt.f64 (pow.f64 (+.f64 (.f64 x y) (.f64 z t)) 3))

rewrite34.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

12×	`cbrt-prod_binary64_2496`
10×	`*-un-lft-identity_binary64_2465` `add-cube-cbrt_binary64_2500` `add-sqr-sqrt_binary64_2487`
8×	`add-log-exp_binary64_2504`
6×	`cube-prod_binary64_2493` `unpow-prod-down_binary64_2544`
5×	`add-exp-log_binary64_2503` `add-cbrt-cube_binary64_2501` `pow1_binary64_2526`
4×	`flip3-+_binary64_2468` `flip-+_binary64_2439` `cube-div_binary64_2494`
3×	`pow-unpow_binary64_2542`
2×	`unpow3_binary64_2531` `+-commutative_binary64_2395` `sum-log_binary64_2556` `cbrt-div_binary64_2497` `cube-mult_binary64_2495` `sqr-pow_binary64_2437`
1×	`rem-cube-cbrt_binary64_2488` `pow-exp_binary64_2533` `pow-to-exp_binary64_2534` `pow1/3_binary64_2547` `pow-pow_binary64_2537` `rem-cbrt-cube_binary64_2489`

Counts

4 → 70

Calls

8 calls:

11.0ms	(+.f64 (cbrt.f64 (pow.f64 (+.f64 (.f64 x y) (.f64 z t)) 3)) (*.f64 a b))
6.0ms	(cbrt.f64 (pow.f64 (+.f64 (.f64 x y) (.f64 z t)) 3))
6.0ms	(pow.f64 (+.f64 (.f64 x y) (.f64 z t)) 3)
5.0ms	(+.f64 (.f64 x y) (.f64 z t))
0.0ms	(+.f64 (cbrt.f64 (pow.f64 (+.f64 (.f64 x y) (.f64 z t)) 3)) (*.f64 a b))

series829.0ms (4.4%)

Counts

4 → 132

Calls

4 calls:

282.0ms	(+.f64 (cbrt.f64 (pow.f64 (+.f64 (.f64 x y) (.f64 z t)) 3)) (*.f64 a b))
272.0ms	(pow.f64 (+.f64 (.f64 x y) (.f64 z t)) 3)
140.0ms	(cbrt.f64 (pow.f64 (+.f64 (.f64 x y) (.f64 z t)) 3))
134.0ms	(+.f64 (.f64 x y) (.f64 z t))

Compiler

Compiled 2790 to 2730 computations (2.2% saved)

simplify82.0ms (0.4%)

Algorithm

1×	egg-herbie

Counts

202 → 202

Iterations

Useful iterations: 0 (46.0ms)

Iter	Nodes	Cost
0	5018	3618

prune145.0ms (0.8%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	201	1	202
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	201	5	206

Error

0.0b

Counts

206 → 5

Compiler

Compiled 3591 to 866 computations (75.9% saved)

localize22.0ms (0.1%)

Local error

Found 8 expressions with local error:

0.0b	(-.f64 (+.f64 (.f64 x y) (.f64 z t)) (*.f64 a b))
0.0b	(+.f64 (.f64 x y) (.f64 z t))
0.0b	(+.f64 (.f64 x y) (.f64 z t))
0.0b	(+.f64 (.f64 x y) (.f64 z t))
0.4b	(+.f64 (.f64 (.f64 a b) (.f64 a b)) (.f64 (+.f64 (.f64 x y) (.f64 z t)) (-.f64 (+.f64 (.f64 x y) (.f64 z t)) (*.f64 a b))))
1.0b	(.f64 (+.f64 (.f64 x y) (.f64 z t)) (-.f64 (+.f64 (.f64 x y) (.f64 z t)) (.f64 a b)))
1.1b	(+.f64 (pow.f64 (+.f64 (.f64 x y) (.f64 z t)) 3) (pow.f64 (*.f64 a b) 3))
37.8b	(/.f64 (+.f64 (pow.f64 (+.f64 (.f64 x y) (.f64 z t)) 3) (pow.f64 (.f64 a b) 3)) (+.f64 (.f64 (.f64 a b) (.f64 a b)) (.f64 (+.f64 (.f64 x y) (.f64 z t)) (-.f64 (+.f64 (.f64 x y) (.f64 z t)) (.f64 a b)))))

rewrite90.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

26×	`*-un-lft-identity_binary64_2465`
18×	`add-sqr-sqrt_binary64_2487`
16×	`add-cube-cbrt_binary64_2500`
15×	`times-frac_binary64_2471`
8×	`add-log-exp_binary64_2504` `add-exp-log_binary64_2503` `add-cbrt-cube_binary64_2501`
7×	`flip3-+_binary64_2468` `flip-+_binary64_2439`
6×	`distribute-lft-in_binary64_2414` `distribute-rgt-in_binary64_2415` `associate-+r+_binary64_2397` `pow1_binary64_2526`
5×	`sum-cubes_binary64_2466` `distribute-lft-out_binary64_2416` `associate-/l*_binary64_2410`
4×	`frac-times_binary64_2475` `sub-neg_binary64_2458` `cancel-sign-sub-inv_binary64_2431` `associate--l+_binary64_2402`
3×	`associate-/r_binary64_2409` `flip--_binary64_2440` `associate-r_binary64_2405` `flip3--_binary64_2469` `associate-l*_binary64_2406`
2×	`associate-l/_binary64_2408` `+-commutative_binary64_2395` `sum-log_binary64_2556` `associate-/l/_binary64_2412` `associate-r/_binary64_2407` `associate-/r/_binary64_2411`
1×	`*-commutative_binary64_2396` `clear-num_binary64_2464` `cbrt-undiv_binary64_2499` `unswap-sqr_binary64_2433` `div-exp_binary64_2516` `div-inv_binary64_2462` `prod-exp_binary64_2514` `frac-2neg_binary64_2476` `pow-prod-down_binary64_2536` `cbrt-unprod_binary64_2498`

Counts

4 → 101

Calls

8 calls:

26.0ms	(/.f64 (+.f64 (pow.f64 (+.f64 (.f64 x y) (.f64 z t)) 3) (pow.f64 (.f64 a b) 3)) (+.f64 (.f64 (.f64 a b) (.f64 a b)) (.f64 (+.f64 (.f64 x y) (.f64 z t)) (-.f64 (+.f64 (.f64 x y) (.f64 z t)) (.f64 a b)))))
14.0ms	(+.f64 (pow.f64 (+.f64 (.f64 x y) (.f64 z t)) 3) (pow.f64 (*.f64 a b) 3))
14.0ms	(.f64 (+.f64 (.f64 x y) (.f64 z t)) (-.f64 (+.f64 (.f64 x y) (.f64 z t)) (.f64 a b)))
13.0ms	(+.f64 (.f64 (.f64 a b) (.f64 a b)) (.f64 (+.f64 (.f64 x y) (.f64 z t)) (-.f64 (+.f64 (.f64 x y) (.f64 z t)) (*.f64 a b))))
0.0ms	(+.f64 (.f64 x y) (.f64 z t))

series8.5s (45.2%)

Counts

4 → 194

Calls

4 calls:

4.5s	(/.f64 (+.f64 (pow.f64 (+.f64 (.f64 x y) (.f64 z t)) 3) (pow.f64 (.f64 a b) 3)) (+.f64 (.f64 (.f64 a b) (.f64 a b)) (.f64 (+.f64 (.f64 x y) (.f64 z t)) (-.f64 (+.f64 (.f64 x y) (.f64 z t)) (.f64 a b)))))
1.8s	(+.f64 (.f64 (.f64 a b) (.f64 a b)) (.f64 (+.f64 (.f64 x y) (.f64 z t)) (-.f64 (+.f64 (.f64 x y) (.f64 z t)) (*.f64 a b))))
1.3s	(+.f64 (pow.f64 (+.f64 (.f64 x y) (.f64 z t)) 3) (pow.f64 (*.f64 a b) 3))
826.0ms	(.f64 (+.f64 (.f64 x y) (.f64 z t)) (-.f64 (+.f64 (.f64 x y) (.f64 z t)) (.f64 a b)))

Compiler

Compiled 18328 to 12396 computations (32.4% saved)

simplify142.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

295 → 295

Iterations

Useful iterations: 0 (24.0ms)

Iter	Nodes	Cost
0	5400	15234

prune425.0ms (2.3%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	294	1	295
Fresh	1	0	1
Picked	0	1	1
Done	1	2	3
Total	296	4	300

Error

0.0b

Counts

300 → 4

Compiler

Compiled 16157 to 2992 computations (81.5% saved)

simplify11.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	186	798
1	186	798

regimes601.0ms (3.2%)

Compiler: Compiled 5414 to 3082 computations (43.1% saved)

bsearch0.0ms (0%)

regimes508.0ms (2.7%)

Compiler: Compiled 401 to 877 computations (-118.7% saved)

bsearch32.0ms (0.2%)

Steps

Iters	Range		Point
8	263.1415330296952	136415.15944890562	63299.90423924046
6	-5.134850197516401e-25	-4.308047025894434e-26	-3.4224964295545865e-25

Compiler

Compiled 3 to 7 computations (-133.3% saved)

regimes469.0ms (2.5%)

Compiler: Compiled 331 to 787 computations (-137.8% saved)

bsearch73.0ms (0.4%)

Steps

Iters	Range		Point
6	1.7862781073417386e-20	7.320290081060285e-20	4.2618896535764406e-20
8	6.126778982805179e-75	9.995827764112935e-72	6.219343235920281e-75
9	2.0794326535351126e-111	2.0244611149565587e-104	1.9928489889562997e-104
6	-2.0703511267540346e-72	-1.5985896080886355e-73	-1.5142174969701798e-72

Compiler

Compiled 3 to 7 computations (-133.3% saved)

regimes330.0ms (1.8%)

Compiler: Compiled 234 to 642 computations (-174.4% saved)

bsearch44.0ms (0.2%)

Steps

Iters	Range		Point
6	8.759162084723557e+122	4.4002815894494626e+123	1.0812796783942197e+123
9	-6.715515116099072e+102	-2.9847717093944116e+95	-1.2702228399961762e+96

Compiler

Compiled 3 to 7 computations (-133.3% saved)

regimes523.0ms (2.8%)

Compiler: Compiled 138 to 492 computations (-256.5% saved)

bsearch131.0ms (0.7%)

Steps

Iters	Range		Point
9	1.9143491530319363e-08	5.911784730774485	1.1925811832237125e-05
8	3.411661783522325e-85	9.16497424917834e-81	3.656426731504235e-82
10	5.537371879050785e-160	3.823536137354049e-148	2.295146222486271e-155
0	-1.0274742331265e-317	0.0	-5.1373736359606e-318
8	-1.5409770000579014e-234	-3.380816704781458e-237	-1.3018058333461053e-234
8	-7.393852112186664e-185	-1.4991200883255803e-187	-6.6639698387565696e-186
8	-9.670140967430274e-158	-1.5592974788768568e-160	-9.938511773621857e-160
6	-1.7623563734929614e-06	-2.684705306355681e-07	-6.989196908691086e-07

Compiler

Compiled 3 to 7 computations (-133.3% saved)

regimes293.0ms (1.6%)

Compiler: Compiled 96 to 380 computations (-295.8% saved)

bsearch76.0ms (0.4%)

Steps

Iters	Range		Point
6	1.7862781073417386e-20	7.320290081060285e-20	2.4102991657790487e-20
9	6.224123205248788e-70	6.213339469028409e-65	9.692397487688842e-70
9	2.0794326535351126e-111	2.0244611149565587e-104	3.1542771986425063e-106
6	-2.0703511267540346e-72	-1.5985896080886355e-73	-5.3561253006343874e-73

Compiler

Compiled 3 to 7 computations (-133.3% saved)

regimes75.0ms (0.4%)

Compiler: Compiled 60 to 282 computations (-370% saved)

bsearch0.0ms (0%)

regimes55.0ms (0.3%)

Compiler: Compiled 30 to 198 computations (-560% saved)

bsearch0.0ms (0%)

regimes51.0ms (0.3%)

Accuracy

Total 0.0b remaining (40.5%)

Threshold costs 0.0b (40.5%)

Compiler

Compiled 24 to 156 computations (-550% saved)

bsearch9.0ms (0%)

Compiler: Compiled 247 to 141 computations (42.9% saved)

simplify8.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	129	312
1	129	312

end0.0ms (0%)

sample1.4s (7.6%)

Algorithm

1×

intervals

Results

288.0ms	8000×	body	128	valid
147.0ms	3997×	body	128	invalid

Compiler

Compiled 762 to 460 computations (39.6% saved)

Pareto

0.35651437599937386

Details

analyze1.2s (6.3%)

sample31.0ms (0.2%)

simplify101.0ms (0.5%)

prune2.0ms (0%)

localize9.0ms (0%)

rewrite16.0ms (0.1%)

series415.0ms (2.2%)

simplify75.0ms (0.4%)

prune57.0ms (0.3%)

localize14.0ms (0.1%)

rewrite38.0ms (0.2%)

series1.5s (8.1%)

simplify87.0ms (0.5%)

prune210.0ms (1.1%)

localize16.0ms (0.1%)

rewrite34.0ms (0.2%)

series829.0ms (4.4%)

simplify82.0ms (0.4%)

prune145.0ms (0.8%)

localize22.0ms (0.1%)

rewrite90.0ms (0.5%)

series8.5s (45.2%)

simplify142.0ms (0.8%)

prune425.0ms (2.3%)

simplify11.0ms (0.1%)

regimes601.0ms (3.2%)

bsearch0.0ms (0%)

regimes508.0ms (2.7%)

bsearch32.0ms (0.2%)

regimes469.0ms (2.5%)

bsearch73.0ms (0.4%)

regimes330.0ms (1.8%)

bsearch44.0ms (0.2%)

regimes523.0ms (2.8%)

bsearch131.0ms (0.7%)

regimes293.0ms (1.6%)

bsearch76.0ms (0.4%)

regimes75.0ms (0.4%)

bsearch0.0ms (0%)

regimes55.0ms (0.3%)

bsearch0.0ms (0%)

regimes51.0ms (0.3%)

bsearch9.0ms (0%)

simplify8.0ms (0%)

end0.0ms (0%)

sample1.4s (7.6%)

Profiling