Details

analyze582.0ms (9.3%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.8%	0.2%	0
0%	99.8%	0.2%	1
0%	99.8%	0.2%	2
0%	99.8%	0.2%	3
0%	99.8%	0.2%	4
0%	99.8%	0.2%	5
0%	99.8%	0.2%	6
0%	99.8%	0.2%	7
3.1%	96.7%	0.2%	8
7.8%	92%	0.2%	9
11.7%	88.1%	0.2%	10
24.2%	64.7%	11.1%	11
27.9%	59.8%	12.3%	12
35%	52.5%	12.5%	13
38.6%	48.2%	13.2%	14

Compiler

Compiled 10 to 9 computations (10% saved)

sample19.0ms (0.3%)

Algorithm

1×

intervals

Results

7.0ms	256×	body	128	valid
2.0ms	62×	body	128	invalid

Compiler

Compiled 19 to 21 computations (-10.5% saved)

simplify99.0ms (1.6%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	30	13
1	30	13

prune2.0ms (0%)

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

0.1b

Counts

2 → 1

Compiler

Compiled 18 to 16 computations (11.1% saved)

localize7.0ms (0.1%)

Local error

Found 6 expressions with local error:

0.1b	(.f64 (+.f64 (.f64 x y) z) y)
0.0b	(+.f64 (*.f64 x y) z)
0.0b	(+.f64 (.f64 (+.f64 (.f64 x y) z) y) t)
0.0b	(+.f64 (*.f64 x y) z)
0.0b	(+.f64 (.f64 (+.f64 (.f64 x y) z) y) t)
0.1b	(.f64 (+.f64 (.f64 x y) z) y)

rewrite22.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

7×	`add-sqr-sqrt_binary64_3510` `add-log-exp_binary64_3527`
5×	`add-cbrt-cube_binary64_3524` `add-exp-log_binary64_3526` `add-cube-cbrt_binary64_3523` `*-un-lft-identity_binary64_3488` `pow1_binary64_3549`
3×	`flip-+_binary64_3462` `flip3-+_binary64_3491` `associate-l_binary64_3429` `associate-r_binary64_3428`
2×	`associate-*l/_binary64_3431` `+-commutative_binary64_3418` `sum-log_binary64_3579`
1×	`unswap-sqr_binary64_3456` `cbrt-unprod_binary64_3521` `pow-prod-down_binary64_3559` `*-commutative_binary64_3419` `prod-exp_binary64_3537`

Counts

3 → 42

Calls

6 calls:

8.0ms	(+.f64 (.f64 (+.f64 (.f64 x y) z) y) t)
7.0ms	(.f64 (+.f64 (.f64 x y) z) y)
4.0ms	(+.f64 (*.f64 x y) z)
0.0ms	(+.f64 (.f64 (+.f64 (.f64 x y) z) y) t)
0.0ms	(+.f64 (*.f64 x y) z)

series398.0ms (6.4%)

Counts

3 → 63

Calls

3 calls:

204.0ms	(+.f64 (.f64 (+.f64 (.f64 x y) z) y) t)
125.0ms	(.f64 (+.f64 (.f64 x y) z) y)
68.0ms	(+.f64 (*.f64 x y) z)

Compiler

Compiled 807 to 784 computations (2.9% saved)

simplify46.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

105 → 105

Iterations

Useful iterations: 0 (28.0ms)

Iter	Nodes	Cost
0	5443	1112

prune73.0ms (1.2%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	99	6	105
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	99	7	106

Error

Counts

106 → 7

Compiler

Compiled 1208 to 228 computations (81.1% saved)

localize12.0ms (0.2%)

Local error

Found 8 expressions with local error:

0.0b	(+.f64 (*.f64 x y) z)
0.0b	(+.f64 (*.f64 x y) z)
0.0b	(+.f64 (*.f64 x y) z)
0.0b	(+.f64 (.f64 (.f64 (cbrt.f64 (+.f64 (.f64 x y) z)) (cbrt.f64 (+.f64 (.f64 x y) z))) (.f64 y (cbrt.f64 (+.f64 (.f64 x y) z)))) t)
0.6b	(.f64 (cbrt.f64 (+.f64 (.f64 x y) z)) (cbrt.f64 (+.f64 (*.f64 x y) z)))
0.6b	(cbrt.f64 (+.f64 (*.f64 x y) z))
0.6b	(cbrt.f64 (+.f64 (*.f64 x y) z))
0.6b	(cbrt.f64 (+.f64 (*.f64 x y) z))

rewrite34.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

25×	`cbrt-prod_binary64_3519`
23×	`add-sqr-sqrt_binary64_3510`
18×	`cbrt-div_binary64_3520`
15×	`add-cube-cbrt_binary64_3523` `*-un-lft-identity_binary64_3488`
11×	`pow1_binary64_3549`
9×	`flip-+_binary64_3462` `flip3-+_binary64_3491` `pow1/3_binary64_3570`
6×	`swap-sqr_binary64_3455` `add-exp-log_binary64_3526` `associate-l_binary64_3429` `associate-r_binary64_3428`
4×	`unswap-sqr_binary64_3456` `add-cbrt-cube_binary64_3524` `frac-times_binary64_3498` `add-log-exp_binary64_3527`
2×	`associate-l/_binary64_3431` `pow-prod-up_binary64_3558` `associate-r/_binary64_3430` `pow-prod-down_binary64_3559` `pow-sqr_binary64_3461`
1×	`cbrt-unprod_binary64_3521` `pow2_binary64_3569` `pow-plus_binary64_3551` `*-commutative_binary64_3419` `prod-exp_binary64_3537`

Counts

4 → 87

Calls

8 calls:

13.0ms	(.f64 (cbrt.f64 (+.f64 (.f64 x y) z)) (cbrt.f64 (+.f64 (*.f64 x y) z)))
4.0ms	(cbrt.f64 (+.f64 (*.f64 x y) z))
4.0ms	(cbrt.f64 (+.f64 (*.f64 x y) z))
4.0ms	(cbrt.f64 (+.f64 (*.f64 x y) z))
0.0ms	(+.f64 (.f64 (.f64 (cbrt.f64 (+.f64 (.f64 x y) z)) (cbrt.f64 (+.f64 (.f64 x y) z))) (.f64 y (cbrt.f64 (+.f64 (.f64 x y) z)))) t)

series821.0ms (13.1%)

Counts

4 → 71

Calls

4 calls:

264.0ms	(.f64 (cbrt.f64 (+.f64 (.f64 x y) z)) (cbrt.f64 (+.f64 (*.f64 x y) z)))
192.0ms	(cbrt.f64 (+.f64 (*.f64 x y) z))
183.0ms	(cbrt.f64 (+.f64 (*.f64 x y) z))
181.0ms	(cbrt.f64 (+.f64 (*.f64 x y) z))

Compiler

Compiled 4637 to 3335 computations (28.1% saved)

simplify77.0ms (1.2%)

Algorithm

1×	egg-herbie

Counts

158 → 158

Iterations

Useful iterations: 0 (40.0ms)

Iter	Nodes	Cost
0	4982	3285
1	4982	3285

prune152.0ms (2.4%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	157	1	158
Fresh	1	4	5
Picked	1	0	1
Done	0	1	1
Total	159	6	165

Error

Counts

165 → 6

Compiler

Compiled 4919 to 1147 computations (76.7% saved)

localize10.0ms (0.2%)

Local error

Found 8 expressions with local error:

0.2b	(pow.f64 (.f64 y (+.f64 (.f64 x y) z)) 3)
0.1b	(.f64 y (+.f64 (.f64 x y) z))
0.0b	(+.f64 (*.f64 x y) z)
0.0b	(+.f64 (cbrt.f64 (pow.f64 (.f64 y (+.f64 (.f64 x y) z)) 3)) t)
0.0b	(+.f64 (cbrt.f64 (pow.f64 (.f64 y (+.f64 (.f64 x y) z)) 3)) t)
0.1b	(.f64 y (+.f64 (.f64 x y) z))
0.2b	(pow.f64 (.f64 y (+.f64 (.f64 x y) z)) 3)
29.9b	(cbrt.f64 (pow.f64 (.f64 y (+.f64 (.f64 x y) z)) 3))

rewrite33.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

10×	`add-sqr-sqrt_binary64_3510` `*-un-lft-identity_binary64_3488`
9×	`add-cbrt-cube_binary64_3524` `add-exp-log_binary64_3526` `pow1_binary64_3549`
8×	`cbrt-prod_binary64_3519` `add-cube-cbrt_binary64_3523`
6×	`associate-*r/_binary64_3430` `add-log-exp_binary64_3527`
4×	`flip-+_binary64_3462` `flip3-+_binary64_3491` `cube-div_binary64_3517`
3×	`associate-l_binary64_3429` `associate-r_binary64_3428` `pow-unpow_binary64_3565`
2×	`pow-exp_binary64_3556` `unpow3_binary64_3554` `rem-cube-cbrt_binary64_3511` `unpow-prod-down_binary64_3567` `cbrt-unprod_binary64_3521` `cube-prod_binary64_3516` `pow-prod-down_binary64_3559` `sqr-pow_binary64_3460` `cube-mult_binary64_3518` `cbrt-div_binary64_3520` `pow-pow_binary64_3560` `prod-exp_binary64_3537`
1×	`distribute-lft-in_binary64_3437` `distribute-lft-out_binary64_3439` `distribute-rgt-in_binary64_3438` `unswap-sqr_binary64_3456` `+-commutative_binary64_3418` `pow-to-exp_binary64_3557` `rem-cbrt-cube_binary64_3512` `*-commutative_binary64_3419` `sum-log_binary64_3579` `pow1/3_binary64_3570`

Counts

4 → 77

Calls

8 calls:

8.0ms	(+.f64 (cbrt.f64 (pow.f64 (.f64 y (+.f64 (.f64 x y) z)) 3)) t)
7.0ms	(.f64 y (+.f64 (.f64 x y) z))
7.0ms	(pow.f64 (.f64 y (+.f64 (.f64 x y) z)) 3)
3.0ms	(cbrt.f64 (pow.f64 (.f64 y (+.f64 (.f64 x y) z)) 3))
0.0ms	(+.f64 (cbrt.f64 (pow.f64 (.f64 y (+.f64 (.f64 x y) z)) 3)) t)

series635.0ms (10.2%)

Counts

4 → 87

Calls

4 calls:

241.0ms	(+.f64 (cbrt.f64 (pow.f64 (.f64 y (+.f64 (.f64 x y) z)) 3)) t)
137.0ms	(pow.f64 (.f64 y (+.f64 (.f64 x y) z)) 3)
136.0ms	(cbrt.f64 (pow.f64 (.f64 y (+.f64 (.f64 x y) z)) 3))
120.0ms	(.f64 y (+.f64 (.f64 x y) z))

Compiler

Compiled 1635 to 1548 computations (5.3% saved)

simplify52.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

164 → 164

Iterations

Useful iterations: 0 (24.0ms)

Iter	Nodes	Cost
0	5014	2424

prune120.0ms (1.9%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	164	0	164
Fresh	0	4	4
Picked	0	1	1
Done	0	1	1
Total	164	6	170

Error

Counts

170 → 6

Compiler

Compiled 2452 to 904 computations (63.1% saved)

localize12.0ms (0.2%)

Local error

Found 8 expressions with local error:

1.7b	(-.f64 (.f64 (.f64 x y) (.f64 x y)) (.f64 z z))
0.3b	(.f64 (.f64 x y) (*.f64 x y))
0.0b	(-.f64 (*.f64 x y) z)
0.0b	(+.f64 (/.f64 (.f64 y (-.f64 (.f64 (.f64 x y) (.f64 x y)) (.f64 z z))) (-.f64 (.f64 x y) z)) t)
0.3b	(.f64 (.f64 x y) (*.f64 x y))
1.7b	(-.f64 (.f64 (.f64 x y) (.f64 x y)) (.f64 z z))
8.5b	(.f64 y (-.f64 (.f64 (.f64 x y) (.f64 x y)) (*.f64 z z)))
15.9b	(/.f64 (.f64 y (-.f64 (.f64 (.f64 x y) (.f64 x y)) (.f64 z z))) (-.f64 (.f64 x y) z))

rewrite48.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Rules

45×	`pow1_binary64_3549`
23×	`add-cbrt-cube_binary64_3524` `add-exp-log_binary64_3526`
18×	`pow-prod-down_binary64_3559`
10×	`add-sqr-sqrt_binary64_3510` `cbrt-unprod_binary64_3521` `prod-exp_binary64_3537`
8×	`add-cube-cbrt_binary64_3523` `*-un-lft-identity_binary64_3488`
6×	`add-log-exp_binary64_3527`
5×	`associate-r_binary64_3428`
4×	`pow-prod-up_binary64_3558` `flip3--_binary64_3492` `associate-l_binary64_3429` `associate-*r/_binary64_3430` `flip--_binary64_3463` `pow-sqr_binary64_3461`
3×	`associate-/r*_binary64_3432` `cancel-sign-sub-inv_binary64_3454` `times-frac_binary64_3494` `sub-neg_binary64_3481`
2×	`distribute-lft-in_binary64_3437` `difference-of-squares_binary64_3457` `distribute-rgt-in_binary64_3438` `associate-/l/_binary64_3435` `associate-/r/_binary64_3434` `pow-plus_binary64_3551` `*-commutative_binary64_3419` `div-exp_binary64_3539` `cbrt-undiv_binary64_3522`
1×	`swap-sqr_binary64_3455` `clear-num_binary64_3487` `unswap-sqr_binary64_3456` `diff-log_binary64_3580` `associate-/l*_binary64_3433` `pow2_binary64_3569` `frac-2neg_binary64_3499` `div-inv_binary64_3485`

Counts

4 → 97

Calls

8 calls:

14.0ms	(/.f64 (.f64 y (-.f64 (.f64 (.f64 x y) (.f64 x y)) (.f64 z z))) (-.f64 (.f64 x y) z))
11.0ms	(.f64 y (-.f64 (.f64 (.f64 x y) (.f64 x y)) (*.f64 z z)))
7.0ms	(-.f64 (.f64 (.f64 x y) (.f64 x y)) (.f64 z z))
7.0ms	(.f64 (.f64 x y) (*.f64 x y))
0.0ms	(+.f64 (/.f64 (.f64 y (-.f64 (.f64 (.f64 x y) (.f64 x y)) (.f64 z z))) (-.f64 (.f64 x y) z)) t)

series869.0ms (13.9%)

Counts

4 → 60

Calls

4 calls:

329.0ms	(/.f64 (.f64 y (-.f64 (.f64 (.f64 x y) (.f64 x y)) (.f64 z z))) (-.f64 (.f64 x y) z))
268.0ms	(.f64 y (-.f64 (.f64 (.f64 x y) (.f64 x y)) (*.f64 z z)))
207.0ms	(-.f64 (.f64 (.f64 x y) (.f64 x y)) (.f64 z z))
65.0ms	(.f64 (.f64 x y) (*.f64 x y))

Compiler

Compiled 1541 to 1287 computations (16.5% saved)

simplify76.0ms (1.2%)

Algorithm

1×	egg-herbie

Counts

157 → 157

Iterations

Useful iterations: 0 (47.0ms)

Iter	Nodes	Cost
0	4992	2243
1	4992	2243

prune113.0ms (1.8%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	157	0	157
Fresh	0	3	3
Picked	0	1	1
Done	0	2	2
Total	157	6	163

Error

Counts

163 → 6

Compiler

Compiled 3296 to 609 computations (81.5% saved)

simplify8.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	129	437
1	129	437

regimes145.0ms (2.3%)

Compiler: Compiled 1192 to 876 computations (26.5% saved)

bsearch0.0ms (0%)

regimes183.0ms (2.9%)

Compiler: Compiled 180 to 284 computations (-57.8% saved)

bsearch57.0ms (0.9%)

Steps

Iters	Range		Point
5	1.5164123443288761e-111	5.086764001303892e-111	2.92109186513925e-111
10	-5.211545772169539e-103	-1.3076923167632407e-116	-1.3982040806938495e-107
8	-2.1758661575829095e-42	-1.484710574606544e-45	-3.5270538828713833e-44
4	-9.381543020180495e-15	-5.701297150438165e-15	-5.780740526639809e-15

Compiler

Compiled 1 to 4 computations (-300% saved)

regimes117.0ms (1.9%)

Compiler: Compiled 124 to 228 computations (-83.9% saved)

bsearch34.0ms (0.6%)

Steps

Iters	Range		Point
9	4.8938675777681e-32	7.97454170099151e-27	1.572561595081844e-28
8	-3.202426789956365e+34	-3.689732537167753e+31	-8.565608340072335e+32

Compiler

Compiled 1 to 4 computations (-300% saved)

regimes67.0ms (1.1%)

Compiler: Compiled 96 to 200 computations (-108.3% saved)

bsearch19.0ms (0.3%)

Steps

Iters	Range		Point
9	-1.9235210003867403e+77	-6.57641837422654e+68	-1.9343787463871016e+76

Compiler

Compiled 1 to 4 computations (-300% saved)

regimes167.0ms (2.7%)

Compiler: Compiled 76 to 176 computations (-131.6% saved)

bsearch59.0ms (1%)

Steps

Iters	Range		Point
8	5.086764001303892e-111	2.707066227002918e-107	9.511882993591529e-110
10	-7.210601286914707e-78	-1.7969395633518353e-89	-3.2060202156294776e-80
8	-9.084386240118674e-39	-2.1758661575829095e-42	-8.94629698326712e-39
4	-9.381543020180495e-15	-5.701297150438165e-15	-5.780740526639809e-15

Compiler

Compiled 1 to 4 computations (-300% saved)

regimes38.0ms (0.6%)

Compiler: Compiled 24 to 108 computations (-350% saved)

bsearch0.0ms (0%)

regimes35.0ms (0.6%)

Compiler: Compiled 20 to 92 computations (-360% saved)

bsearch0.0ms (0%)

regimes32.0ms (0.5%)

Accuracy

Total 0.0b remaining (82.2%)

Threshold costs 0.0b (82.2%)

Compiler

Compiled 16 to 72 computations (-350% saved)

bsearch7.0ms (0.1%)

Compiler: Compiled 123 to 88 computations (28.5% saved)

simplify5.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	88	152
1	88	152

end0.0ms (0%)

sample965.0ms (15.4%)

Algorithm

1×

intervals

Results

224.0ms	8000×	body	128	valid
50.0ms	1780×	body	128	invalid

Compiler

Compiled 411 to 315 computations (23.4% saved)

Pareto

0.3061429218182228

Details

analyze582.0ms (9.3%)

sample19.0ms (0.3%)

simplify99.0ms (1.6%)

prune2.0ms (0%)

localize7.0ms (0.1%)

rewrite22.0ms (0.4%)

series398.0ms (6.4%)

simplify46.0ms (0.7%)

prune73.0ms (1.2%)

localize12.0ms (0.2%)

rewrite34.0ms (0.5%)

series821.0ms (13.1%)

simplify77.0ms (1.2%)

prune152.0ms (2.4%)

localize10.0ms (0.2%)

rewrite33.0ms (0.5%)

series635.0ms (10.2%)

simplify52.0ms (0.8%)

prune120.0ms (1.9%)

localize12.0ms (0.2%)

rewrite48.0ms (0.8%)

series869.0ms (13.9%)

simplify76.0ms (1.2%)

prune113.0ms (1.8%)

simplify8.0ms (0.1%)

regimes145.0ms (2.3%)

bsearch0.0ms (0%)

regimes183.0ms (2.9%)

bsearch57.0ms (0.9%)

regimes117.0ms (1.9%)

bsearch34.0ms (0.6%)

regimes67.0ms (1.1%)

bsearch19.0ms (0.3%)

regimes167.0ms (2.7%)

bsearch59.0ms (1%)

regimes38.0ms (0.6%)

bsearch0.0ms (0%)

regimes35.0ms (0.6%)

bsearch0.0ms (0%)

regimes32.0ms (0.5%)

bsearch7.0ms (0.1%)

simplify5.0ms (0.1%)

end0.0ms (0%)

sample965.0ms (15.4%)

Profiling