Details

analyze813.0ms (7.5%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5124	175
0	4	4
1	4	4

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
3.1%	96.7%	0.2%	7
6.2%	93.6%	0.2%	8
8.6%	91.2%	0.2%	9
28.1%	71.7%	0.2%	10
31%	68.8%	0.2%	11
40.5%	59.3%	0.2%	12
49.6%	50.2%	0.2%	13
59%	40.8%	0.2%	14

Compiler

Compiled 18 to 14 computations (22.2% saved)

sample24.0ms (0.2%)

Algorithm

1×

intervals

Results

11.0ms	256×	body	128	valid
0.0ms	10×	body	128	invalid

Compiler

Compiled 35 to 31 computations (11.4% saved)

simplify64.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (58.0ms)

Iter	Nodes	Cost
0	4892	25
1	4892	25

prune3.0ms (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

7.7b

Counts

2 → 1

Compiler

Compiled 34 to 26 computations (23.5% saved)

localize15.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(-.f64 (*.f64 y z) x)
0.0b	(+.f64 x (/.f64 (-.f64 (.f64 y z) x) (-.f64 (.f64 t z) x)))
0.0b	(/.f64 (+.f64 x (/.f64 (-.f64 (.f64 y z) x) (-.f64 (.f64 t z) x))) (+.f64 x 1))
10.9b	(/.f64 (-.f64 (.f64 y z) x) (-.f64 (.f64 t z) x))

rewrite169.0ms (1.6%)

Algorithm

1×	rewrite-expression-head

Error

7.6b

Rules

45×	`*-un-lft-identity_binary64_18833`
25×	`times-frac_binary64_18839`
23×	`add-cube-cbrt_binary64_18868` `add-sqr-sqrt_binary64_18855`
11×	`distribute-lft-out_binary64_18784`
8×	`add-exp-log_binary64_18871` `add-log-exp_binary64_18872` `add-cbrt-cube_binary64_18869`
7×	`associate-/l_binary64_18778` `associate-/r_binary64_18777`
4×	`pow1_binary64_18894` `div-sub_binary64_18838` `associate-/l/_binary64_18780` `associate-/r/_binary64_18779`
3×	`flip3--_binary64_18837` `flip--_binary64_18808` `flip3-+_binary64_18836` `flip-+_binary64_18807` `cancel-sign-sub-inv_binary64_18799`
2×	`div-exp_binary64_18884` `cbrt-undiv_binary64_18867` `frac-2neg_binary64_18844` `clear-num_binary64_18832` `div-inv_binary64_18830` `associate-+r-_binary64_18767`
1×	`sum-log_binary64_18924` `+-commutative_binary64_18763` `diff-log_binary64_18925` `sub-neg_binary64_18826`

Counts

4 → 100

Calls

4 calls:

16.0ms	(/.f64 (+.f64 x (/.f64 (-.f64 (.f64 y z) x) (-.f64 (.f64 t z) x))) (+.f64 x 1))
12.0ms	(+.f64 x (/.f64 (-.f64 (.f64 y z) x) (-.f64 (.f64 t z) x)))
9.0ms	(/.f64 (-.f64 (.f64 y z) x) (-.f64 (.f64 t z) x))
4.0ms	(-.f64 (*.f64 y z) x)

Compiler

Compiled 2967 to 756 computations (74.5% saved)

series1.4s (12.7%)

Error

0.2b

Counts

4 → 107

Calls

4 calls:

551.0ms	(/.f64 (+.f64 x (/.f64 (-.f64 (.f64 y z) x) (-.f64 (.f64 t z) x))) (+.f64 x 1))
369.0ms	(+.f64 x (/.f64 (-.f64 (.f64 y z) x) (-.f64 (.f64 t z) x)))
264.0ms	(/.f64 (-.f64 (.f64 y z) x) (-.f64 (.f64 t z) x))
82.0ms	(-.f64 (*.f64 y z) x)

Compiler

Compiled 7137 to 4642 computations (35% saved)

simplify106.0ms (1%)

Algorithm

1×	egg-herbie

Counts

207 → 207

Iterations

Useful iterations: 0 (61.0ms)

Iter	Nodes	Cost
0	5374	5277

prune204.0ms (1.9%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	200	7	207
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	201	7	208

Error

0.0b

Counts

208 → 7

Compiler

Compiled 5077 to 1483 computations (70.8% saved)

localize13.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 x (/.f64 1 (/.f64 (-.f64 (.f64 t z) x) (-.f64 (.f64 z y) x))))
0.0b	(/.f64 (+.f64 x (/.f64 1 (/.f64 (-.f64 (.f64 t z) x) (-.f64 (.f64 z y) x)))) (+.f64 x 1))
0.2b	(/.f64 1 (/.f64 (-.f64 (.f64 t z) x) (-.f64 (.f64 z y) x)))
10.9b	(/.f64 (-.f64 (.f64 t z) x) (-.f64 (.f64 z y) x))

rewrite277.0ms (2.6%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

110×	`times-frac_binary64_18839`
97×	`*-un-lft-identity_binary64_18833`
67×	`add-cube-cbrt_binary64_18868` `add-sqr-sqrt_binary64_18855`
22×	`associate-/r*_binary64_18777`
19×	`add-exp-log_binary64_18871`
18×	`distribute-lft-out_binary64_18784`
13×	`add-cbrt-cube_binary64_18869` `div-inv_binary64_18830` `associate-/r/_binary64_18779`
11×	`associate-/l*_binary64_18778`
9×	`div-exp_binary64_18884`
6×	`add-log-exp_binary64_18872` `flip3--_binary64_18837` `flip--_binary64_18808`
5×	`pow1_binary64_18894` `cbrt-undiv_binary64_18867`
4×	`associate-/l/_binary64_18780`
3×	`frac-2neg_binary64_18844` `clear-num_binary64_18832` `flip3-+_binary64_18836` `flip-+_binary64_18807`
2×	`1-exp_binary64_18877` `rec-exp_binary64_18883`
1×	`div-sub_binary64_18838` `inv-pow_binary64_18918` `pow-flip_binary64_18907` `sum-log_binary64_18924` `+-commutative_binary64_18763`

Counts

4 → 174

Calls

4 calls:

24.0ms	(/.f64 (+.f64 x (/.f64 1 (/.f64 (-.f64 (.f64 t z) x) (-.f64 (.f64 z y) x)))) (+.f64 x 1))
20.0ms	(+.f64 x (/.f64 1 (/.f64 (-.f64 (.f64 t z) x) (-.f64 (.f64 z y) x))))
12.0ms	(/.f64 1 (/.f64 (-.f64 (.f64 t z) x) (-.f64 (.f64 z y) x)))
9.0ms	(/.f64 (-.f64 (.f64 t z) x) (-.f64 (.f64 z y) x))

Compiler

Compiled 5854 to 1970 computations (66.3% saved)

series1.5s (13.9%)

Error

0.0b

Counts

4 → 113

Calls

4 calls:

531.0ms	(/.f64 (+.f64 x (/.f64 1 (/.f64 (-.f64 (.f64 t z) x) (-.f64 (.f64 z y) x)))) (+.f64 x 1))
351.0ms	(+.f64 x (/.f64 1 (/.f64 (-.f64 (.f64 t z) x) (-.f64 (.f64 z y) x))))
279.0ms	(/.f64 1 (/.f64 (-.f64 (.f64 t z) x) (-.f64 (.f64 z y) x)))
242.0ms	(/.f64 (-.f64 (.f64 t z) x) (-.f64 (.f64 z y) x))

Compiler

Compiled 7950 to 5252 computations (33.9% saved)

simplify121.0ms (1.1%)

Algorithm

1×	egg-herbie

Counts

287 → 287

Iterations

Useful iterations: 0 (52.0ms)

Iter	Nodes	Cost
0	5242	8400

prune255.0ms (2.4%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	286	1	287
Fresh	0	6	6
Picked	0	1	1
Done	0	0	0
Total	286	8	294

Error

0.0b

Counts

294 → 8

Compiler

Compiled 7820 to 2229 computations (71.5% saved)

localize15.0ms (0.1%)

Local error

Found 4 expressions with local error:

4.6b	(/.f64 (cbrt.f64 (-.f64 (.f64 z y) x)) (-.f64 (.f64 t z) x))
7.2b	(cbrt.f64 (-.f64 (*.f64 z y) x))
7.2b	(cbrt.f64 (-.f64 (*.f64 z y) x))
7.2b	(cbrt.f64 (-.f64 (*.f64 z y) x))

rewrite117.0ms (1.1%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

22×	`add-cube-cbrt_binary64_18868` `add-sqr-sqrt_binary64_18855` `*-un-lft-identity_binary64_18833`
21×	`cbrt-prod_binary64_18864`
18×	`times-frac_binary64_18839`
8×	`cbrt-div_binary64_18865`
6×	`add-exp-log_binary64_18871` `associate-/l*_binary64_18778`
5×	`add-cbrt-cube_binary64_18869` `flip3--_binary64_18837` `flip--_binary64_18808`
4×	`pow1_binary64_18894` `add-log-exp_binary64_18872`
3×	`pow1/3_binary64_18915` `associate-/r*_binary64_18777`
2×	`associate-/l/_binary64_18780` `associate-/r/_binary64_18779`
1×	`div-exp_binary64_18884` `cbrt-undiv_binary64_18867` `frac-2neg_binary64_18844` `clear-num_binary64_18832` `div-inv_binary64_18830`

Counts

4 → 82

Calls

4 calls:

10.0ms	(/.f64 (cbrt.f64 (-.f64 (.f64 z y) x)) (-.f64 (.f64 t z) x))
4.0ms	(cbrt.f64 (-.f64 (*.f64 z y) x))
4.0ms	(cbrt.f64 (-.f64 (*.f64 z y) x))
4.0ms	(cbrt.f64 (-.f64 (*.f64 z y) x))

Compiler

Compiled 3535 to 673 computations (81% saved)

series911.0ms (8.4%)

Error

0.0b

Counts

4 → 55

Calls

4 calls:

324.0ms	(/.f64 (cbrt.f64 (-.f64 (.f64 z y) x)) (-.f64 (.f64 t z) x))
175.0ms	(cbrt.f64 (-.f64 (*.f64 z y) x))
166.0ms	(cbrt.f64 (-.f64 (*.f64 z y) x))
164.0ms	(cbrt.f64 (-.f64 (*.f64 z y) x))

Compiler

Compiled 7186 to 4272 computations (40.6% saved)

simplify57.0ms (0.5%)

Algorithm

1×	egg-herbie

Counts

137 → 137

Iterations

Useful iterations: 0 (26.0ms)

Iter	Nodes	Cost
0	5253	3157

prune163.0ms (1.5%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	137	0	137
Fresh	0	6	6
Picked	0	1	1
Done	0	1	1
Total	137	8	145

Error

0.0b

Counts

145 → 8

Compiler

Compiled 5614 to 1378 computations (75.5% saved)

localize18.0ms (0.2%)

Local error

Found 4 expressions with local error:

6.2b	(/.f64 (-.f64 (.f64 z y) x) (.f64 (cbrt.f64 (-.f64 (.f64 t z) x)) (cbrt.f64 (-.f64 (.f64 t z) x))))
8.7b	(cbrt.f64 (-.f64 (*.f64 t z) x))
8.7b	(cbrt.f64 (-.f64 (*.f64 t z) x))
8.7b	(cbrt.f64 (-.f64 (*.f64 t z) x))

rewrite121.0ms (1.1%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

18×	`cbrt-div_binary64_18865`
10×	`flip3--_binary64_18837` `flip--_binary64_18808`
9×	`add-exp-log_binary64_18871` `add-cube-cbrt_binary64_18868` `cbrt-prod_binary64_18864` `add-sqr-sqrt_binary64_18855` `*-un-lft-identity_binary64_18833`
8×	`associate-/r/_binary64_18779`
7×	`add-cbrt-cube_binary64_18869`
4×	`pow1_binary64_18894` `add-log-exp_binary64_18872` `frac-times_binary64_18843`
3×	`pow1/3_binary64_18915` `times-frac_binary64_18839` `associate-/l*_binary64_18778`
2×	`div-exp_binary64_18884` `cbrt-undiv_binary64_18867` `associate-/l/_binary64_18780` `associate-l/_binary64_18776` `associate-r/_binary64_18775`
1×	`prod-exp_binary64_18882` `cbrt-unprod_binary64_18866` `frac-2neg_binary64_18844` `div-sub_binary64_18838` `clear-num_binary64_18832` `div-inv_binary64_18830` `associate-/r*_binary64_18777`

Counts

4 → 71

Calls

4 calls:

16.0ms	(/.f64 (-.f64 (.f64 z y) x) (.f64 (cbrt.f64 (-.f64 (.f64 t z) x)) (cbrt.f64 (-.f64 (.f64 t z) x))))
4.0ms	(cbrt.f64 (-.f64 (*.f64 t z) x))
4.0ms	(cbrt.f64 (-.f64 (*.f64 t z) x))
4.0ms	(cbrt.f64 (-.f64 (*.f64 t z) x))

Compiler

Compiled 3107 to 635 computations (79.6% saved)

series1.6s (15.2%)

Error

0.0b

Counts

4 → 76

Calls

4 calls:

862.0ms	(/.f64 (-.f64 (.f64 z y) x) (.f64 (cbrt.f64 (-.f64 (.f64 t z) x)) (cbrt.f64 (-.f64 (.f64 t z) x))))
225.0ms	(cbrt.f64 (-.f64 (*.f64 t z) x))
216.0ms	(cbrt.f64 (-.f64 (*.f64 t z) x))
216.0ms	(cbrt.f64 (-.f64 (*.f64 t z) x))

Compiler

Compiled 10016 to 6573 computations (34.4% saved)

simplify86.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

147 → 147

Iterations

Useful iterations: 0 (48.0ms)

Iter	Nodes	Cost
0	5024	3704

prune177.0ms (1.6%)

Pruning

8 alts after pruning (5 fresh and 3 done)

	Pruned	Kept	Total
New	147	0	147
Fresh	0	5	5
Picked	0	1	1
Done	0	2	2
Total	147	8	155

Error

0.0b

Counts

155 → 8

Compiler

Compiled 5854 to 1799 computations (69.3% saved)

regimes829.0ms (7.7%)

Accuracy

Total 2.5b remaining (98.4%)

Threshold costs 0b (0%)

Compiler

Compiled 7851 to 5164 computations (34.2% saved)

bsearch4.0ms (0%)

Compiler: Compiled 17 to 13 computations (23.5% saved)

simplify4.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	90	138
1	90	138

end0.0ms (0%)

sample1.7s (16%)

Algorithm

1×

intervals

Results

352.0ms	8000×	body	128	valid
18.0ms	323×	body	128	invalid

Compiler

Compiled 1665 to 1080 computations (35.1% saved)

Details

analyze813.0ms (7.5%)

sample24.0ms (0.2%)

simplify64.0ms (0.6%)

prune3.0ms (0%)

localize15.0ms (0.1%)

rewrite169.0ms (1.6%)

series1.4s (12.7%)

simplify106.0ms (1%)

prune204.0ms (1.9%)

localize13.0ms (0.1%)

rewrite277.0ms (2.6%)

series1.5s (13.9%)

simplify121.0ms (1.1%)

prune255.0ms (2.4%)

localize15.0ms (0.1%)

rewrite117.0ms (1.1%)

series911.0ms (8.4%)

simplify57.0ms (0.5%)

prune163.0ms (1.5%)

localize18.0ms (0.2%)

rewrite121.0ms (1.1%)

series1.6s (15.2%)

simplify86.0ms (0.8%)

prune177.0ms (1.6%)

regimes829.0ms (7.7%)

bsearch4.0ms (0%)

simplify4.0ms (0%)

end0.0ms (0%)

sample1.7s (16%)

Profiling