Details

analyze788.0ms (9.2%)

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
15.6%	84.2%	0.2%	8
15.6%	84.2%	0.2%	9
20.3%	79.5%	0.2%	10
25.3%	74.5%	0.2%	11
34.2%	65.6%	0.2%	12
37.4%	62%	0.6%	13
41.7%	57.7%	0.6%	14

Compiler

Compiled 16 to 14 computations (12.5% saved)

sample28.0ms (0.3%)

Algorithm

1×

intervals

Results

11.0ms	256×	body	128	valid
4.0ms	92×	body	128	invalid

Compiler

Compiled 31 to 31 computations (0% saved)

simplify468.0ms (5.5%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (375.0ms)

Iter	Nodes	Cost
0	4800	16
1	4800	16

prune10.0ms (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

0.1b

Counts

2 → 2

Compiler

Compiled 37 to 33 computations (10.8% saved)

localize8.0ms (0.1%)

Local error

Found 6 expressions with local error:

4.1b	(*.f64 (/.f64 -1/3 z) (-.f64 y (/.f64 t y)))
0.4b	(/.f64 -1/3 z)
0.0b	(-.f64 y (/.f64 t y))
0.0b	(-.f64 y (/.f64 t y))
0.4b	(/.f64 -1/3 z)
4.1b	(*.f64 (/.f64 -1/3 z) (-.f64 y (/.f64 t y)))

rewrite39.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

55×	`add-sqr-sqrt_binary64_14081`
48×	`times-frac_binary64_14065`
44×	`*-un-lft-identity_binary64_14059`
40×	`add-cube-cbrt_binary64_14094`
39×	`cancel-sign-sub-inv_binary64_14025`
14×	`distribute-rgt-in_binary64_14009` `distribute-lft-in_binary64_14008`
13×	`associate-l_binary64_14000`
10×	`add-cbrt-cube_binary64_14095` `add-exp-log_binary64_14097`
6×	`associate-r_binary64_13999`
5×	`add-log-exp_binary64_14098` `div-inv_binary64_14056` `pow1_binary64_14120`
4×	`difference-of-squares_binary64_14028`
3×	`flip--_binary64_14034` `associate-/r_binary64_14003` `sub-neg_binary64_14052` `flip3--_binary64_14063` `associate-/l_binary64_14004`
2×	`frac-times_binary64_14069` `prod-exp_binary64_14108` `div-exp_binary64_14110` `cbrt-unprod_binary64_14092` `cbrt-undiv_binary64_14093` `unswap-sqr_binary64_14027` `associate-*r/_binary64_14001` `distribute-lft-out--_binary64_14011`
1×	`frac-2neg_binary64_14070` `associate-l/_binary64_14002` `-commutative_binary64_13990` `clear-num_binary64_14058` `pow-prod-down_binary64_14130` `diff-log_binary64_14151`

Counts

3 → 121

Calls

6 calls:

16.0ms	(*.f64 (/.f64 -1/3 z) (-.f64 y (/.f64 t y)))
8.0ms	(-.f64 y (/.f64 t y))
3.0ms	(/.f64 -1/3 z)
0.0ms	(-.f64 y (/.f64 t y))
0.0ms	(*.f64 (/.f64 -1/3 z) (-.f64 y (/.f64 t y)))

series297.0ms (3.5%)

Counts

3 → 30

Calls

3 calls:

210.0ms	(*.f64 (/.f64 -1/3 z) (-.f64 y (/.f64 t y)))
69.0ms	(-.f64 y (/.f64 t y))
18.0ms	(/.f64 -1/3 z)

Compiler

Compiled 558 to 516 computations (7.5% saved)

simplify74.0ms (0.9%)

Algorithm

1×	egg-herbie

Counts

151 → 151

Iterations

Useful iterations: 0 (44.0ms)

Iter	Nodes	Cost
0	5267	2023

prune147.0ms (1.7%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	146	5	151
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	146	7	153

Error

0.0b

Counts

153 → 7

Compiler

Compiled 2435 to 1114 computations (54.3% saved)

localize8.0ms (0.1%)

Local error

Found 6 expressions with local error:

4.0b	(/.f64 (*.f64 -1/3 (-.f64 y (/.f64 t y))) z)
0.3b	(*.f64 -1/3 (-.f64 y (/.f64 t y)))
0.0b	(-.f64 y (/.f64 t y))
0.0b	(-.f64 y (/.f64 t y))
0.3b	(*.f64 -1/3 (-.f64 y (/.f64 t y)))
4.0b	(/.f64 (*.f64 -1/3 (-.f64 y (/.f64 t y))) z)

rewrite45.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

40×	`add-sqr-sqrt_binary64_14081`
39×	`cancel-sign-sub-inv_binary64_14025`
32×	`*-un-lft-identity_binary64_14059` `times-frac_binary64_14065`
28×	`add-cube-cbrt_binary64_14094`
14×	`distribute-rgt-in_binary64_14009` `distribute-lft-in_binary64_14008`
10×	`add-cbrt-cube_binary64_14095` `add-exp-log_binary64_14097`
6×	`associate-r_binary64_13999`
5×	`add-log-exp_binary64_14098` `pow1_binary64_14120`
4×	`div-inv_binary64_14056` `associate-*r/_binary64_14001` `difference-of-squares_binary64_14028`
3×	`flip--_binary64_14034` `associate-/r_binary64_14003` `sub-neg_binary64_14052` `associate-l*_binary64_14000` `flip3--_binary64_14063`
2×	`prod-exp_binary64_14108` `div-exp_binary64_14110` `cbrt-unprod_binary64_14092` `associate-/l/_binary64_14006` `cbrt-undiv_binary64_14093` `distribute-lft-out--_binary64_14011`
1×	`frac-2neg_binary64_14070` `-commutative_binary64_13990` `clear-num_binary64_14058` `unswap-sqr_binary64_14027` `pow-prod-down_binary64_14130` `diff-log_binary64_14151` `associate-/l_binary64_14004`

Counts

3 → 101

Calls

6 calls:

13.0ms	(/.f64 (*.f64 -1/3 (-.f64 y (/.f64 t y))) z)
12.0ms	(*.f64 -1/3 (-.f64 y (/.f64 t y)))
8.0ms	(-.f64 y (/.f64 t y))
0.0ms	(-.f64 y (/.f64 t y))
0.0ms	(*.f64 -1/3 (-.f64 y (/.f64 t y)))

series378.0ms (4.4%)

Counts

3 → 39

Calls

3 calls:

207.0ms	(/.f64 (*.f64 -1/3 (-.f64 y (/.f64 t y))) z)
101.0ms	(*.f64 -1/3 (-.f64 y (/.f64 t y)))
69.0ms	(-.f64 y (/.f64 t y))

Compiler

Compiled 696 to 651 computations (6.5% saved)

simplify74.0ms (0.9%)

Algorithm

1×	egg-herbie

Counts

140 → 140

Iterations

Useful iterations: 0 (48.0ms)

Iter	Nodes	Cost
0	4990	1688
1	4990	1688

prune113.0ms (1.3%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	137	3	140
Fresh	2	3	5
Picked	1	0	1
Done	0	1	1
Total	140	7	147

Error

0.0b

Counts

147 → 7

Compiler

Compiled 2070 to 914 computations (55.8% saved)

localize9.0ms (0.1%)

Local error

Found 6 expressions with local error:

3.9b	(/.f64 z (-.f64 y (/.f64 t y)))
0.7b	(/.f64 -1/3 (/.f64 z (-.f64 y (/.f64 t y))))
0.0b	(-.f64 y (/.f64 t y))
0.0b	(-.f64 y (/.f64 t y))
0.7b	(/.f64 -1/3 (/.f64 z (-.f64 y (/.f64 t y))))
3.9b	(/.f64 z (-.f64 y (/.f64 t y)))

rewrite52.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

188×	`times-frac_binary64_14065`
171×	`add-sqr-sqrt_binary64_14081`
120×	`*-un-lft-identity_binary64_14059`
86×	`add-cube-cbrt_binary64_14094`
34×	`difference-of-squares_binary64_14028`
30×	`associate-/r*_binary64_14003`
17×	`distribute-lft-out--_binary64_14011`
13×	`cancel-sign-sub-inv_binary64_14025`
11×	`associate-/r/_binary64_14005`
10×	`add-cbrt-cube_binary64_14095` `add-exp-log_binary64_14097`
7×	`div-inv_binary64_14056`
6×	`flip--_binary64_14034` `flip3--_binary64_14063` `associate-/l*_binary64_14004`
5×	`add-log-exp_binary64_14098`
4×	`div-exp_binary64_14110` `cbrt-undiv_binary64_14093`
3×	`pow1_binary64_14120`
2×	`frac-2neg_binary64_14070` `clear-num_binary64_14058`
1×	`diff-log_binary64_14151` `sub-neg_binary64_14052`

Counts

3 → 182

Calls

6 calls:

14.0ms	(/.f64 -1/3 (/.f64 z (-.f64 y (/.f64 t y))))
9.0ms	(/.f64 z (-.f64 y (/.f64 t y)))
8.0ms	(-.f64 y (/.f64 t y))
0.0ms	(-.f64 y (/.f64 t y))
0.0ms	(/.f64 -1/3 (/.f64 z (-.f64 y (/.f64 t y))))

series472.0ms (5.5%)

Counts

3 → 48

Calls

3 calls:

207.0ms	(/.f64 -1/3 (/.f64 z (-.f64 y (/.f64 t y))))
192.0ms	(/.f64 z (-.f64 y (/.f64 t y)))
73.0ms	(-.f64 y (/.f64 t y))

Compiler

Compiled 1107 to 969 computations (12.5% saved)

simplify95.0ms (1.1%)

Algorithm

1×	egg-herbie

Counts

230 → 230

Iterations

Useful iterations: 0 (47.0ms)

Iter	Nodes	Cost
0	5025	4907

prune198.0ms (2.3%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	228	2	230
Fresh	0	5	5
Picked	1	0	1
Done	0	1	1
Total	229	8	237

Error

0.0b

Counts

237 → 8

Compiler

Compiled 4595 to 1537 computations (66.6% saved)

localize10.0ms (0.1%)

Local error

Found 8 expressions with local error:

4.0b	(/.f64 z (*.f64 -1/3 (-.f64 y (/.f64 t y))))
0.5b	(/.f64 1 (/.f64 z (*.f64 -1/3 (-.f64 y (/.f64 t y)))))
0.3b	(*.f64 -1/3 (-.f64 y (/.f64 t y)))
0.0b	(-.f64 y (/.f64 t y))
0.0b	(-.f64 y (/.f64 t y))
0.3b	(*.f64 -1/3 (-.f64 y (/.f64 t y)))
0.5b	(/.f64 1 (/.f64 z (*.f64 -1/3 (-.f64 y (/.f64 t y)))))
4.0b	(/.f64 z (*.f64 -1/3 (-.f64 y (/.f64 t y))))

rewrite66.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Rules

71×	`times-frac_binary64_14065`
59×	`add-sqr-sqrt_binary64_14081`
51×	`*-un-lft-identity_binary64_14059`
47×	`add-cube-cbrt_binary64_14094`
39×	`cancel-sign-sub-inv_binary64_14025`
32×	`add-exp-log_binary64_14097`
20×	`add-cbrt-cube_binary64_14095`
14×	`distribute-rgt-in_binary64_14009` `div-exp_binary64_14110` `distribute-lft-in_binary64_14008`
12×	`associate-*r/_binary64_14001`
11×	`associate-/r/_binary64_14005`
10×	`associate-/r*_binary64_14003`
9×	`div-inv_binary64_14056`
7×	`flip--_binary64_14034` `cbrt-undiv_binary64_14093` `pow1_binary64_14120` `flip3--_binary64_14063`
6×	`add-log-exp_binary64_14098` `associate-r_binary64_13999` `associate-/l*_binary64_14004`
5×	`prod-exp_binary64_14108`
4×	`difference-of-squares_binary64_14028`
3×	`cbrt-unprod_binary64_14092` `rec-exp_binary64_14109` `sub-neg_binary64_14052` `1-exp_binary64_14103` `associate-l_binary64_14000`
2×	`frac-2neg_binary64_14070` `clear-num_binary64_14058` `distribute-lft-out--_binary64_14011`
1×	`pow-flip_binary64_14133` `*-commutative_binary64_13990` `unswap-sqr_binary64_14027` `pow-prod-down_binary64_14130` `diff-log_binary64_14151` `inv-pow_binary64_14144`

Counts

4 → 165

Calls

8 calls:

16.0ms	(/.f64 1 (/.f64 z (*.f64 -1/3 (-.f64 y (/.f64 t y)))))
14.0ms	(/.f64 z (*.f64 -1/3 (-.f64 y (/.f64 t y))))
13.0ms	(*.f64 -1/3 (-.f64 y (/.f64 t y)))
9.0ms	(-.f64 y (/.f64 t y))
0.0ms	(-.f64 y (/.f64 t y))

series598.0ms (7%)

Counts

4 → 60

Calls

4 calls:

222.0ms	(/.f64 z (*.f64 -1/3 (-.f64 y (/.f64 t y))))
202.0ms	(/.f64 1 (/.f64 z (*.f64 -1/3 (-.f64 y (/.f64 t y)))))
102.0ms	(*.f64 -1/3 (-.f64 y (/.f64 t y)))
71.0ms	(-.f64 y (/.f64 t y))

Compiler

Compiled 1509 to 1362 computations (9.7% saved)

simplify86.0ms (1%)

Algorithm

1×	egg-herbie

Counts

225 → 225

Iterations

Useful iterations: 0 (46.0ms)

Iter	Nodes	Cost
0	4950	3442
1	4950	3442

prune184.0ms (2.2%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	224	1	225
Fresh	1	5	6
Picked	0	1	1
Done	0	1	1
Total	225	8	233

Error

Counts

233 → 8

Compiler

Compiled 3833 to 1806 computations (52.9% saved)

simplify15.0ms (0.2%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (4.0ms)

Iter	Nodes	Cost
0	367	878
1	367	878

regimes522.0ms (6.1%)

Compiler: Compiled 2973 to 2459 computations (17.3% saved)

bsearch2.0ms (0%)

Compiler: Compiled 3 to 6 computations (-100% saved)

regimes186.0ms (2.2%)

Compiler: Compiled 840 to 896 computations (-6.7% saved)

bsearch51.0ms (0.6%)

Steps

Iters	Range		Point
9	3.4615460133706426e-199	4.530784540549383e-193	1.5629371845185122e-197
8	-3.417919169808263e-163	-8.103104599412239e-168	-5.061193822850261e-166

Compiler

Compiled 1 to 4 computations (-300% saved)

regimes177.0ms (2.1%)

Compiler: Compiled 736 to 800 computations (-8.7% saved)

bsearch52.0ms (0.6%)

Steps

Iters	Range		Point
9	3.4615460133706426e-199	4.530784540549383e-193	6.072844017225707e-194
8	-3.417919169808263e-163	-8.103104599412239e-168	-2.1328192736786707e-167

Compiler

Compiled 1 to 4 computations (-300% saved)

regimes127.0ms (1.5%)

Compiler: Compiled 404 to 488 computations (-20.8% saved)

bsearch53.0ms (0.6%)

Steps

Iters	Range		Point
9	3.4615460133706426e-199	4.530784540549383e-193	1.775910276249274e-197
8	-3.417919169808263e-163	-8.103104599412239e-168	-2.031342023748196e-167

Compiler

Compiled 1 to 4 computations (-300% saved)

regimes122.0ms (1.4%)

Compiler: Compiled 360 to 448 computations (-24.4% saved)

bsearch35.0ms (0.4%)

Steps

Iters	Range		Point
6	-2.3108042743316616e-304	-2.4841320145403574e-305	-2.0845605174032763e-304
4	-5.2778870757716556e-163	-3.417919169808263e-163	-3.824787149237756e-163

Compiler

Compiled 1 to 4 computations (-300% saved)

regimes211.0ms (2.5%)

Compiler: Compiled 316 to 408 computations (-29.1% saved)

bsearch42.0ms (0.5%)

Steps

Iters	Range		Point
8	6.016404423072537e+27	7.068214481967524e+30	4.348498850758092e+28
8	-8.945735622230312e-17	-1.2237875164378904e-20	-3.4425981747227545e-18

Compiler

Compiled 1 to 4 computations (-300% saved)

regimes202.0ms (2.4%)

Compiler: Compiled 240 to 328 computations (-36.7% saved)

bsearch91.0ms (1.1%)

Steps

Iters	Range		Point
8	6.016404423072537e+27	7.068214481967524e+30	3.6824183286726317e+28
10	1.5291825003005626e-140	6.783752329246574e-131	4.2352197974092834e-139
9	3.4615460133706426e-199	4.530784540549383e-193	1.426168426782496e-198
8	-8.945735622230312e-17	-1.2237875164378904e-20	-4.422948289970177e-20

Compiler

Compiled 1 to 4 computations (-300% saved)

regimes193.0ms (2.3%)

Compiler: Compiled 204 to 292 computations (-43.1% saved)

bsearch103.0ms (1.2%)

Steps

Iters	Range		Point
8	6.016404423072537e+27	7.068214481967524e+30	2.264812849983564e+28
10	1.5291825003005626e-140	6.783752329246574e-131	6.420318399200128e-133
9	3.4615460133706426e-199	4.530784540549383e-193	1.2527032477888993e-193
8	-8.945735622230312e-17	-1.2237875164378904e-20	-4.422948289970177e-20

Compiler

Compiled 1 to 4 computations (-300% saved)

regimes170.0ms (2%)

Compiler: Compiled 168 to 256 computations (-52.4% saved)

bsearch40.0ms (0.5%)

Steps

Iters	Range		Point
8	6.016404423072537e+27	7.068214481967524e+30	8.822611347478466e+29
8	-8.945735622230312e-17	-1.2237875164378904e-20	-1.0267353273179042e-18

Compiler

Compiled 1 to 4 computations (-300% saved)

regimes56.0ms (0.7%)

Compiler: Compiled 132 to 220 computations (-66.7% saved)

bsearch0.0ms (0%)

regimes34.0ms (0.4%)

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

bsearch0.0ms (0%)

regimes31.0ms (0.4%)

Accuracy

Total 0.5b remaining (99.1%)

Threshold costs 0.5b (99.1%)

Compiler

Compiled 16 to 72 computations (-350% saved)

bsearch17.0ms (0.2%)

Compiler: Compiled 398 to 279 computations (29.9% saved)

simplify9.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	176	524
1	176	524

end0.0ms (0%)

sample1.7s (20.3%)

Algorithm

1×

intervals

Results

357.0ms	8000×	body	128	valid
142.0ms	3140×	body	128	invalid

Compiler

Compiled 976 to 769 computations (21.2% saved)

Pareto

0.5405287940142383

Details

analyze788.0ms (9.2%)

sample28.0ms (0.3%)

simplify468.0ms (5.5%)

prune10.0ms (0.1%)

localize8.0ms (0.1%)

rewrite39.0ms (0.5%)

series297.0ms (3.5%)

simplify74.0ms (0.9%)

prune147.0ms (1.7%)

localize8.0ms (0.1%)

rewrite45.0ms (0.5%)

series378.0ms (4.4%)

simplify74.0ms (0.9%)

prune113.0ms (1.3%)

localize9.0ms (0.1%)

rewrite52.0ms (0.6%)

series472.0ms (5.5%)

simplify95.0ms (1.1%)

prune198.0ms (2.3%)

localize10.0ms (0.1%)

rewrite66.0ms (0.8%)

series598.0ms (7%)

simplify86.0ms (1%)

prune184.0ms (2.2%)

simplify15.0ms (0.2%)

regimes522.0ms (6.1%)

bsearch2.0ms (0%)

regimes186.0ms (2.2%)

bsearch51.0ms (0.6%)

regimes177.0ms (2.1%)

bsearch52.0ms (0.6%)

regimes127.0ms (1.5%)

bsearch53.0ms (0.6%)

regimes122.0ms (1.4%)

bsearch35.0ms (0.4%)

regimes211.0ms (2.5%)

bsearch42.0ms (0.5%)

regimes202.0ms (2.4%)

bsearch91.0ms (1.1%)

regimes193.0ms (2.3%)

bsearch103.0ms (1.2%)

regimes170.0ms (2%)

bsearch40.0ms (0.5%)

regimes56.0ms (0.7%)

bsearch0.0ms (0%)

regimes34.0ms (0.4%)

bsearch0.0ms (0%)

regimes31.0ms (0.4%)

bsearch17.0ms (0.2%)

simplify9.0ms (0.1%)

end0.0ms (0%)

sample1.7s (20.3%)

Profiling