Details

analyze437.0ms (17.8%)

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
28.1%	71.7%	0.2%	9
37.4%	62.4%	0.2%	10
41.7%	58.1%	0.2%	11
53%	46.8%	0.2%	12
64.1%	35.6%	0.3%	13
66.7%	32.8%	0.5%	14

sample21.0ms (0.9%)

Algorithm

1×

intervals

Results

8.0ms	256×	body	80	valid
0.0ms	12×	body	80	invalid

simplify34.0ms (1.4%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (31.0ms)

Iter	Nodes	Cost
0	771	9
1	771	9

prune7.0ms (0.3%)

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

Merged error: 8.0b

Counts

2 → 1

localize6.0ms (0.3%)

Local error

Found 2 expressions with local error:

0.0b	(*.f64 (-.f64 y z) (-.f64 t z))
7.9b	(/.f64 x (*.f64 (-.f64 y z) (-.f64 t z)))

rewrite22.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Rules

12×	`flip3--_binary64` `add-sqr-sqrt_binary64` `flip--_binary64`
10×	`*-un-lft-identity_binary64`
9×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
8×	`associate-/r/_binary64` `frac-times_binary64`
6×	`add-cube-cbrt_binary64`
5×	`associate-r_binary64` `associate-l_binary64`
4×	`pow1_binary64` `associate-r/_binary64` `associate-l/_binary64`
3×	`associate-/l*_binary64` `times-frac_binary64`
2×	`add-log-exp_binary64` `sub-neg_binary64` `cbrt-unprod_binary64` `cbrt-undiv_binary64` `prod-exp_binary64` `difference-of-squares_binary64` `distribute-lft-out--_binary64` `div-exp_binary64`
1×	`pow-prod-down_binary64` `associate-/r_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64` `unswap-sqr_binary64` `clear-num_binary64` `frac-2neg_binary64` `div-inv_binary64` `-commutative_binary64`

Counts

2 → 61

Calls

2 calls:

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

series42.0ms (1.7%)

Counts

2 → 6

Calls

2 calls:

34.0ms	(/.f64 x (*.f64 (-.f64 y z) (-.f64 t z)))
9.0ms	(*.f64 (-.f64 y z) (-.f64 t z))

simplify42.0ms (1.7%)

Algorithm

1×	egg-herbie

Counts

67 → 67

Iterations

Useful iterations: 0 (33.0ms)

Iter	Nodes	Cost
0	5099	731

prune87.0ms (3.6%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	62	5	67
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	62	6	68

Merged error: 0.0b

Counts

68 → 6

localize10.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.6b	(*.f64 (cbrt.f64 x) (cbrt.f64 x))
0.6b	(cbrt.f64 x)
0.6b	(cbrt.f64 x)
0.6b	(cbrt.f64 x)

rewrite14.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

25×	`cbrt-prod_binary64`
23×	`add-sqr-sqrt_binary64`
15×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
11×	`pow1_binary64`
9×	`pow1/3_binary64`
6×	`swap-sqr_binary64` `associate-r_binary64` `add-exp-log_binary64` `associate-l_binary64`
4×	`add-log-exp_binary64` `add-cbrt-cube_binary64` `unswap-sqr_binary64`
2×	`pow-prod-down_binary64` `pow-prod-up_binary64` `pow-sqr_binary64`
1×	`cbrt-unprod_binary64` `pow-plus_binary64` `prod-exp_binary64` `pow2_binary64` `*-commutative_binary64`

Counts

4 → 73

Calls

4 calls:

6.0ms	(*.f64 (cbrt.f64 x) (cbrt.f64 x))
1.0ms	(cbrt.f64 x)
1.0ms	(cbrt.f64 x)
1.0ms	(cbrt.f64 x)

series75.0ms (3%)

Counts

4 → 12

Calls

4 calls:

21.0ms	(*.f64 (cbrt.f64 x) (cbrt.f64 x))
18.0ms	(cbrt.f64 x)
18.0ms	(cbrt.f64 x)
17.0ms	(cbrt.f64 x)

simplify48.0ms (2%)

Algorithm

1×	egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 0 (39.0ms)

Iter	Nodes	Cost
0	4940	374
1	4940	374

prune94.0ms (3.8%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	84	1	85
Fresh	0	4	4
Picked	0	1	1
Done	0	1	1
Total	84	7	91

Merged error: 0.0b

Counts

91 → 7

localize17.0ms (0.7%)

Local error

Found 4 expressions with local error:

0.6b	(cbrt.f64 x)
0.6b	(cbrt.f64 x)
0.6b	(cbrt.f64 x)
0.9b	(pow.f64 (cbrt.f64 (cbrt.f64 x)) 4)

rewrite9.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

18×	`cbrt-prod_binary64`
11×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
9×	`unpow-prod-down_binary64`
5×	`pow1_binary64` `add-exp-log_binary64`
4×	`add-log-exp_binary64` `pow1/3_binary64` `add-cbrt-cube_binary64`
3×	`pow-unpow_binary64`
2×	`pow-pow_binary64`
1×	`pow-to-exp_binary64` `sqr-pow_binary64` `pow-exp_binary64`

Counts

4 → 57

Calls

4 calls:

4.0ms	(pow.f64 (cbrt.f64 (cbrt.f64 x)) 4)
1.0ms	(cbrt.f64 x)
1.0ms	(cbrt.f64 x)
1.0ms	(cbrt.f64 x)

series95.0ms (3.9%)

Counts

4 → 12

Calls

4 calls:

40.0ms	(pow.f64 (cbrt.f64 (cbrt.f64 x)) 4)
19.0ms	(cbrt.f64 x)
18.0ms	(cbrt.f64 x)
18.0ms	(cbrt.f64 x)

simplify35.0ms (1.4%)

Algorithm

1×	egg-herbie

Counts

69 → 69

Iterations

Useful iterations: 0 (28.0ms)

Iter	Nodes	Cost
0	4872	348
1	4872	348

prune137.0ms (5.6%)

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	69	0	69
Fresh	0	4	4
Picked	0	1	1
Done	0	2	2
Total	69	7	76

Merged error: 0.0b

Counts

76 → 7

localize11.0ms (0.5%)

Local error

Found 2 expressions with local error:

0.0b	(/.f64 x (-.f64 y z))
1.5b	(/.f64 (/.f64 x (-.f64 y z)) (-.f64 t z))

rewrite42.0ms (1.7%)

Algorithm

1×	rewrite-expression-head

Rules

210×	`times-frac_binary64`
176×	`*-un-lft-identity_binary64` `add-sqr-sqrt_binary64`
88×	`add-cube-cbrt_binary64`
44×	`difference-of-squares_binary64` `distribute-lft-out--_binary64`
24×	`associate-/l*_binary64`
16×	`associate-/r/_binary64`
10×	`associate-/r*_binary64`
9×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
8×	`flip3--_binary64` `div-inv_binary64` `flip--_binary64`
4×	`cbrt-undiv_binary64` `div-exp_binary64`
2×	`add-log-exp_binary64` `pow1_binary64` `clear-num_binary64` `frac-2neg_binary64`
1×	`associate-/l/_binary64`

Counts

2 → 185

Calls

2 calls:

22.0ms	(/.f64 (/.f64 x (-.f64 y z)) (-.f64 t z))
9.0ms	(/.f64 x (-.f64 y z))

series44.0ms (1.8%)

Counts

2 → 6

Calls

2 calls:

32.0ms	(/.f64 (/.f64 x (-.f64 y z)) (-.f64 t z))
12.0ms	(/.f64 x (-.f64 y z))

simplify65.0ms (2.6%)

Algorithm

1×	egg-herbie

Counts

191 → 191

Iterations

Useful iterations: 0 (44.0ms)

Iter	Nodes	Cost
0	5407	3094

prune163.0ms (6.6%)

Pruning

7 alts after pruning (3 fresh and 4 done)

	Pruned	Kept	Total
New	190	1	191
Fresh	1	2	3
Picked	0	1	1
Done	0	3	3
Total	191	7	198

Merged error: 0b

Counts

198 → 7

regimes425.0ms (17.3%)

Accuracy

Total 1.6b remaining (98.1%)

Threshold costs 0b (0%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	24	16
1	24	16

end0.0ms (0%)

sample468.0ms (19.1%)

Algorithm

1×

intervals

Results

251.0ms	8000×	body	80	valid
12.0ms	394×	body	80	invalid

Details

analyze437.0ms (17.8%)

sample21.0ms (0.9%)

simplify34.0ms (1.4%)

prune7.0ms (0.3%)

localize6.0ms (0.3%)

rewrite22.0ms (0.9%)

series42.0ms (1.7%)

simplify42.0ms (1.7%)

prune87.0ms (3.6%)

localize10.0ms (0.4%)

rewrite14.0ms (0.6%)

series75.0ms (3%)

simplify48.0ms (2%)

prune94.0ms (3.8%)

localize17.0ms (0.7%)

rewrite9.0ms (0.4%)

series95.0ms (3.9%)

simplify35.0ms (1.4%)

prune137.0ms (5.6%)

localize11.0ms (0.5%)

rewrite42.0ms (1.7%)

series44.0ms (1.8%)

simplify65.0ms (2.6%)

prune163.0ms (6.6%)

regimes425.0ms (17.3%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample468.0ms (19.1%)

Profiling