Details

analyze62.0ms (0.7%)

Algorithm

1×

Search

True	Other	False	Iter
0%	12.5%	87.5%	0
0%	12.5%	87.5%	1
0%	12.5%	87.5%	2
3.1%	9.3%	87.5%	3
3.1%	6.2%	90.7%	4
4.7%	4.7%	90.7%	5
4.7%	3.5%	91.8%	6
5.6%	2.5%	91.8%	7
5.9%	1.8%	92.3%	8
6.4%	1.3%	92.3%	9
6.6%	0.9%	92.5%	10
6.8%	0.6%	92.5%	11
6.9%	0.5%	92.6%	12
7%	0.3%	92.6%	13
7.1%	0.2%	92.7%	14

Compiler

Compiled 21 to 16 computations (23.8% saved)

sample33.0ms (0.4%)

Algorithm

1×

intervals

Results

14.0ms	256×	body	128	valid
8.0ms	257×	pre	128	true
0.0ms	1×	body	128	invalid

Compiler

Compiled 32 to 27 computations (15.6% saved)

simplify268.0ms (3%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (143.0ms)

Iter	Nodes	Cost
0	4740	16
1	4740	16

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

0.2b

Counts

2 → 1

Compiler

Compiled 22 to 18 computations (18.2% saved)

localize6.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.2b	(.f64 (-.f64 (/.f64 (.f64 m (-.f64 1 m)) v) 1) m)
0.1b	(/.f64 (*.f64 m (-.f64 1 m)) v)
0.1b	(/.f64 (*.f64 m (-.f64 1 m)) v)
0.2b	(.f64 (-.f64 (/.f64 (.f64 m (-.f64 1 m)) v) 1) m)

rewrite38.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

12×	`add-sqr-sqrt_binary64_441`
9×	`*-un-lft-identity_binary64_419` `add-cbrt-cube_binary64_455` `add-exp-log_binary64_457`
7×	`associate-l_binary64_360`
6×	`add-cube-cbrt_binary64_454`
4×	`pow1_binary64_480`
3×	`times-frac_binary64_425` `associate-r_binary64_359` `associate-/r*_binary64_363`
2×	`associate-l/_binary64_362` `difference-of-squares_binary64_388` `add-log-exp_binary64_458` `prod-exp_binary64_468` `cbrt-unprod_binary64_452` `flip3--_binary64_423` `associate-r/_binary64_361` `flip--_binary64_394` `div-exp_binary64_470` `cbrt-undiv_binary64_453` `associate-/l/_binary64_366`
1×	`pow-prod-down_binary64_490` `clear-num_binary64_418` `difference-of-sqr-1_binary64_389` `div-inv_binary64_416` `unswap-sqr_binary64_387` `distribute-lft-out--_binary64_371` `-commutative_binary64_350` `frac-2neg_binary64_430` `associate-/l_binary64_364`

Counts

2 → 47

Calls

4 calls:

19.0ms	(.f64 (-.f64 (/.f64 (.f64 m (-.f64 1 m)) v) 1) m)
13.0ms	(/.f64 (*.f64 m (-.f64 1 m)) v)
0.0ms	(/.f64 (*.f64 m (-.f64 1 m)) v)
0.0ms	(.f64 (-.f64 (/.f64 (.f64 m (-.f64 1 m)) v) 1) m)

series368.0ms (4.2%)

Counts

2 → 24

Calls

2 calls:

228.0ms	(.f64 (-.f64 (/.f64 (.f64 m (-.f64 1 m)) v) 1) m)
139.0ms	(/.f64 (*.f64 m (-.f64 1 m)) v)

Compiler

Compiled 394 to 321 computations (18.5% saved)

simplify89.0ms (1%)

Algorithm

1×	egg-herbie

Counts

71 → 71

Iterations

Useful iterations: 0 (63.0ms)

Iter	Nodes	Cost
0	5329	993

prune173.0ms (2%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	62	9	71
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	63	9	72

Error

0.0b

Counts

72 → 9

Compiler

Compiled 1216 to 804 computations (33.9% saved)

localize14.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.2b	(*.f64 (-.f64 (/.f64 m (/.f64 v (-.f64 1 m))) 1) m)
0.0b	(/.f64 m (/.f64 v (-.f64 1 m)))
0.0b	(/.f64 m (/.f64 v (-.f64 1 m)))
0.2b	(*.f64 (-.f64 (/.f64 m (/.f64 v (-.f64 1 m))) 1) m)

rewrite96.0ms (1.1%)

Algorithm

1×	rewrite-expression-head

Rules

153×	`times-frac_binary64_425`
128×	`add-sqr-sqrt_binary64_441`
110×	`*-un-lft-identity_binary64_419`
69×	`add-cube-cbrt_binary64_454`
30×	`difference-of-squares_binary64_388`
24×	`associate-/r*_binary64_363`
13×	`distribute-lft-out--_binary64_371` `associate-l_binary64_360`
9×	`associate-/r/_binary64_365` `add-cbrt-cube_binary64_455` `add-exp-log_binary64_457`
5×	`div-inv_binary64_416` `flip3--_binary64_423` `flip--_binary64_394`
4×	`pow1_binary64_480`
3×	`difference-of-sqr-1_binary64_389` `associate-r_binary64_359` `div-exp_binary64_470` `associate-/l*_binary64_364` `cbrt-undiv_binary64_453`
2×	`associate-*l/_binary64_362` `add-log-exp_binary64_458`
1×	`pow-prod-down_binary64_490` `clear-num_binary64_418` `unswap-sqr_binary64_387` `prod-exp_binary64_468` `cbrt-unprod_binary64_452` `*-commutative_binary64_350` `frac-2neg_binary64_430`

Counts

2 → 144

Calls

4 calls:

58.0ms	(*.f64 (-.f64 (/.f64 m (/.f64 v (-.f64 1 m))) 1) m)
10.0ms	(/.f64 m (/.f64 v (-.f64 1 m)))
0.0ms	(/.f64 m (/.f64 v (-.f64 1 m)))
0.0ms	(*.f64 (-.f64 (/.f64 m (/.f64 v (-.f64 1 m))) 1) m)

series360.0ms (4.1%)

Counts

2 → 24

Calls

2 calls:

232.0ms	(*.f64 (-.f64 (/.f64 m (/.f64 v (-.f64 1 m))) 1) m)
128.0ms	(/.f64 m (/.f64 v (-.f64 1 m)))

Compiler

Compiled 394 to 321 computations (18.5% saved)

simplify128.0ms (1.5%)

Algorithm

1×	egg-herbie

Counts

168 → 168

Iterations

Useful iterations: 0 (93.0ms)

Iter	Nodes	Cost
0	4970	3296
1	4970	3296

prune213.0ms (2.4%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	166	2	168
Fresh	2	6	8
Picked	1	0	1
Done	0	0	0
Total	169	8	177

Error

0.0b

Counts

177 → 8

Compiler

Compiled 3318 to 1892 computations (43% saved)

localize8.0ms (0.1%)

Local error

Found 6 expressions with local error:

0.2b	(*.f64 (-.f64 (/.f64 (/.f64 m v) (/.f64 1 (-.f64 1 m))) 1) m)
0.0b	(/.f64 (/.f64 m v) (/.f64 1 (-.f64 1 m)))
0.0b	(/.f64 1 (-.f64 1 m))
0.0b	(/.f64 1 (-.f64 1 m))
0.0b	(/.f64 (/.f64 m v) (/.f64 1 (-.f64 1 m)))
0.2b	(*.f64 (-.f64 (/.f64 (/.f64 m v) (/.f64 1 (-.f64 1 m))) 1) m)

rewrite294.0ms (3.3%)

Algorithm

1×	rewrite-expression-head

Rules

846×	`times-frac_binary64_425`
532×	`add-sqr-sqrt_binary64_441`
484×	`*-un-lft-identity_binary64_419`
331×	`add-cube-cbrt_binary64_454`
106×	`difference-of-squares_binary64_388`
47×	`distribute-lft-out--_binary64_371`
41×	`div-inv_binary64_416`
31×	`associate-/r/_binary64_365` `add-exp-log_binary64_457`
30×	`associate-/r*_binary64_363`
25×	`associate-l_binary64_360`
19×	`add-cbrt-cube_binary64_455`
18×	`div-exp_binary64_470`
16×	`flip3--_binary64_423` `flip--_binary64_394` `associate-/l*_binary64_364`
9×	`cbrt-undiv_binary64_453`
7×	`difference-of-sqr-1_binary64_389`
6×	`pow1_binary64_480`
3×	`1-exp_binary64_463` `add-log-exp_binary64_458` `associate-r_binary64_359` `rec-exp_binary64_469`
2×	`associate-*l/_binary64_362` `clear-num_binary64_418` `frac-2neg_binary64_430`
1×	`pow-prod-down_binary64_490` `inv-pow_binary64_504` `unswap-sqr_binary64_387` `prod-exp_binary64_468` `cbrt-unprod_binary64_452` `*-commutative_binary64_350` `pow-flip_binary64_493` `associate-/l/_binary64_366`

Counts

3 → 460

Calls

6 calls:

140.0ms	(*.f64 (-.f64 (/.f64 (/.f64 m v) (/.f64 1 (-.f64 1 m))) 1) m)
20.0ms	(/.f64 (/.f64 m v) (/.f64 1 (-.f64 1 m)))
12.0ms	(/.f64 1 (-.f64 1 m))
0.0ms	(/.f64 1 (-.f64 1 m))
0.0ms	(*.f64 (-.f64 (/.f64 (/.f64 m v) (/.f64 1 (-.f64 1 m))) 1) m)

series401.0ms (4.5%)

Counts

3 → 36

Calls

3 calls:

213.0ms	(*.f64 (-.f64 (/.f64 (/.f64 m v) (/.f64 1 (-.f64 1 m))) 1) m)
133.0ms	(/.f64 (/.f64 m v) (/.f64 1 (-.f64 1 m)))
55.0ms	(/.f64 1 (-.f64 1 m))

Compiler

Compiled 614 to 503 computations (18.1% saved)

simplify188.0ms (2.1%)

Algorithm

1×	egg-herbie

Counts

496 → 496

Iterations

Useful iterations: 0 (33.0ms)

Iter	Nodes	Cost
0	4990	12616
1	4990	12616

prune857.0ms (9.7%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	493	3	496
Fresh	3	4	7
Picked	0	1	1
Done	0	0	0
Total	496	8	504

Error

Counts

504 → 8

Compiler

Compiled 11413 to 6311 computations (44.7% saved)

localize8.0ms (0.1%)

Local error

Found 8 expressions with local error:

9.1b	(/.f64 (pow.f64 m 3) v)
0.2b	(*.f64 m (/.f64 m v))
0.0b	(-.f64 (*.f64 m (/.f64 m v)) (+.f64 m (/.f64 (pow.f64 m 3) v)))
0.0b	(+.f64 m (/.f64 (pow.f64 m 3) v))
0.0b	(+.f64 m (/.f64 (pow.f64 m 3) v))
0.0b	(-.f64 (*.f64 m (/.f64 m v)) (+.f64 m (/.f64 (pow.f64 m 3) v)))
0.2b	(*.f64 m (/.f64 m v))
9.1b	(/.f64 (pow.f64 m 3) v)

rewrite81.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Rules

46×	`times-frac_binary64_425`
43×	`add-sqr-sqrt_binary64_441`
42×	`*-un-lft-identity_binary64_419`
38×	`add-cube-cbrt_binary64_454`
14×	`add-exp-log_binary64_457`
13×	`associate-r_binary64_359`
12×	`unpow-prod-down_binary64_498` `cube-prod_binary64_447` `associate-/l*_binary64_364`
11×	`add-log-exp_binary64_458` `add-cbrt-cube_binary64_455`
6×	`pow1_binary64_480`
4×	`unpow3_binary64_485` `cube-mult_binary64_449` `sqr-pow_binary64_391` `cancel-sign-sub-inv_binary64_385` `div-exp_binary64_470`
3×	`associate-r/_binary64_361` `associate-l_binary64_360` `associate-/r_binary64_363`
2×	`flip3-+_binary64_422` `div-inv_binary64_416` `unswap-sqr_binary64_387` `prod-exp_binary64_468` `cbrt-unprod_binary64_452` `sum-log_binary64_510` `distribute-lft-out_binary64_370` `flip-+_binary64_393` `diff-log_binary64_511` `frac-sub_binary64_428` `cbrt-undiv_binary64_453`
1×	`pow-prod-down_binary64_490` `clear-num_binary64_418` `sub-neg_binary64_412` `pow-exp_binary64_487` `flip3--_binary64_423` `pow-to-exp_binary64_488` `*-commutative_binary64_350` `frac-2neg_binary64_430` `associate--r+_binary64_355` `flip--_binary64_394` `+-commutative_binary64_349`

Counts

4 → 128

Calls

8 calls:

25.0ms	(-.f64 (*.f64 m (/.f64 m v)) (+.f64 m (/.f64 (pow.f64 m 3) v)))
23.0ms	(+.f64 m (/.f64 (pow.f64 m 3) v))
14.0ms	(*.f64 m (/.f64 m v))
7.0ms	(/.f64 (pow.f64 m 3) v)
0.0ms	(+.f64 m (/.f64 (pow.f64 m 3) v))

series593.0ms (6.7%)

Counts

4 → 39

Calls

4 calls:

244.0ms	(-.f64 (*.f64 m (/.f64 m v)) (+.f64 m (/.f64 (pow.f64 m 3) v)))
155.0ms	(+.f64 m (/.f64 (pow.f64 m 3) v))
106.0ms	(/.f64 (pow.f64 m 3) v)
87.0ms	(*.f64 m (/.f64 m v))

Compiler

Compiled 739 to 553 computations (25.2% saved)

simplify146.0ms (1.7%)

Algorithm

1×	egg-herbie

Counts

167 → 167

Iterations

Useful iterations: 0 (109.0ms)

Iter	Nodes	Cost
0	4966	2104
1	4966	2104

prune171.0ms (1.9%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	166	1	167
Fresh	1	5	6
Picked	1	0	1
Done	0	1	1
Total	168	7	175

Error

Counts

175 → 7

Compiler

Compiled 2801 to 1045 computations (62.7% saved)

simplify14.0ms (0.2%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (4.0ms)

Iter	Nodes	Cost
0	311	898
1	311	898

regimes156.0ms (1.8%)

Accuracy

Total 0.2b remaining (97.8%)

Threshold costs 0.2b (97.8%)

Compiler

Compiled 1208 to 928 computations (23.2% saved)

bsearch0.0ms (0%)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	32	16
1	32	16

end0.0ms (0%)

sample4.1s (45.9%)

Algorithm

1×

intervals

Results

432.0ms	8000×	body	128	valid
266.0ms	8065×	pre	128	true
4.0ms	65×	body	128	invalid

Compiler

Compiled 1827 to 1398 computations (23.5% saved)

Pareto

0.36991694858514323

Details

analyze62.0ms (0.7%)

sample33.0ms (0.4%)

simplify268.0ms (3%)

prune2.0ms (0%)

localize6.0ms (0.1%)

rewrite38.0ms (0.4%)

series368.0ms (4.2%)

simplify89.0ms (1%)

prune173.0ms (2%)

localize14.0ms (0.2%)

rewrite96.0ms (1.1%)

series360.0ms (4.1%)

simplify128.0ms (1.5%)

prune213.0ms (2.4%)

localize8.0ms (0.1%)

rewrite294.0ms (3.3%)

series401.0ms (4.5%)

simplify188.0ms (2.1%)

prune857.0ms (9.7%)

localize8.0ms (0.1%)

rewrite81.0ms (0.9%)

series593.0ms (6.7%)

simplify146.0ms (1.7%)

prune171.0ms (1.9%)

simplify14.0ms (0.2%)

regimes156.0ms (1.8%)

bsearch0.0ms (0%)

simplify2.0ms (0%)

end0.0ms (0%)

sample4.1s (45.9%)

Profiling