Details

analyze663.0ms (6%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
25%	74.9%	0.1%	3
25%	74.9%	0.1%	4
31.2%	68.7%	0.1%	5
31.2%	59.3%	9.5%	6
34.3%	54.6%	11%	7
34.3%	49.2%	16.5%	8
35.9%	46.4%	17.7%	9
35.9%	42.1%	22%	10
36.7%	40.6%	22.7%	11
36.7%	39.1%	24.2%	12
37.1%	38.3%	24.7%	13
37.1%	36.7%	26.2%	14

sample273.0ms (2.5%)

Algorithm

1×

intervals

Results

179.0ms	139×	body	5120	exit
34.0ms	79×	body	1280	nan
20.0ms	64×	body	640	nan
16.0ms	256×	body	80	valid
6.0ms	36×	body	320	nan
1.0ms	6×	body	160	nan
0.0ms	7×	body	80	nan
0.0ms	4×	body	80	overflowed
0.0ms	1×	body	80	invalid

simplify86.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (84.0ms)

Iter	Nodes	Cost
0	4891	7
1	4891	7

prune8.0ms (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

Merged error: 0.5b

Counts

2 → 2

localize6.0ms (0%)

Local error

Found 2 expressions with local error:

0.0b	(/.f64 (pow.f64 l (exp.f64 w)) (exp.f64 w))
0.5b	(pow.f64 l (exp.f64 w))

rewrite10.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

21×	`times-frac_binary64`
20×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
15×	`unpow-prod-down_binary64`
7×	`associate-/l*_binary64`
5×	`sqr-pow_binary64` `add-exp-log_binary64`
4×	`add-cbrt-cube_binary64`
3×	`pow-unpow_binary64` `associate-/r*_binary64` `pow1_binary64` `div-exp_binary64`
2×	`pow-to-exp_binary64` `add-log-exp_binary64` `pow-exp_binary64`
1×	`cbrt-undiv_binary64` `pow-pow_binary64` `clear-num_binary64` `frac-2neg_binary64` `div-inv_binary64`

Counts

2 → 62

Calls

2 calls:

6.0ms	(/.f64 (pow.f64 l (exp.f64 w)) (exp.f64 w))
3.0ms	(pow.f64 l (exp.f64 w))

series41.0ms (0.4%)

Counts

2 → 6

Calls

2 calls:

25.0ms	(/.f64 (pow.f64 l (exp.f64 w)) (exp.f64 w))
15.0ms	(pow.f64 l (exp.f64 w))

simplify60.0ms (0.5%)

Algorithm

1×	egg-herbie

Counts

68 → 68

Iterations

Useful iterations: 0 (51.0ms)

Iter	Nodes	Cost
0	4970	753
1	4970	753

prune81.0ms (0.7%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	62	6	68
Fresh	1	0	1
Picked	1	0	1
Done	0	0	0
Total	64	6	70

Merged error: 0.2b

Counts

70 → 6

localize9.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(sqrt.f64 (exp.f64 w))
0.0b	(/.f64 (pow.f64 (pow.f64 l (sqrt.f64 (exp.f64 w))) (sqrt.f64 (exp.f64 w))) (exp.f64 w))
0.4b	(pow.f64 (pow.f64 l (sqrt.f64 (exp.f64 w))) (sqrt.f64 (exp.f64 w)))
0.4b	(pow.f64 l (sqrt.f64 (exp.f64 w)))

rewrite23.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

53×	`unpow-prod-down_binary64`
38×	`add-sqr-sqrt_binary64`
37×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
33×	`times-frac_binary64`
12×	`pow-unpow_binary64`
11×	`sqr-pow_binary64` `associate-/l*_binary64`
10×	`add-exp-log_binary64`
9×	`sqrt-prod_binary64` `pow-exp_binary64`
6×	`pow1_binary64` `add-cbrt-cube_binary64`
5×	`pow-to-exp_binary64` `div-exp_binary64`
4×	`add-log-exp_binary64` `sqrt-pow1_binary64`
3×	`associate-/r*_binary64` `exp-prod_binary64`
2×	`pow-pow_binary64`
1×	`pow1/2_binary64` `cbrt-undiv_binary64` `rem-sqrt-square_binary64` `clear-num_binary64` `frac-2neg_binary64` `div-inv_binary64`

Counts

4 → 125

Calls

4 calls:

8.0ms	(/.f64 (pow.f64 (pow.f64 l (sqrt.f64 (exp.f64 w))) (sqrt.f64 (exp.f64 w))) (exp.f64 w))
5.0ms	(pow.f64 l (sqrt.f64 (exp.f64 w)))
4.0ms	(pow.f64 (pow.f64 l (sqrt.f64 (exp.f64 w))) (sqrt.f64 (exp.f64 w)))
2.0ms	(sqrt.f64 (exp.f64 w))

series88.0ms (0.8%)

Counts

4 → 12

Calls

4 calls:

39.0ms	(/.f64 (pow.f64 (pow.f64 l (sqrt.f64 (exp.f64 w))) (sqrt.f64 (exp.f64 w))) (exp.f64 w))
29.0ms	(pow.f64 (pow.f64 l (sqrt.f64 (exp.f64 w))) (sqrt.f64 (exp.f64 w)))
17.0ms	(pow.f64 l (sqrt.f64 (exp.f64 w)))
3.0ms	(sqrt.f64 (exp.f64 w))

simplify66.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

137 → 137

Iterations

Useful iterations: 0 (53.0ms)

Iter	Nodes	Cost
0	5172	1646

prune149.0ms (1.3%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	132	5	137
Fresh	0	5	5
Picked	1	0	1
Done	0	0	0
Total	133	10	143

Merged error: 0.2b

Counts

143 → 10

localize14.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(cbrt.f64 (exp.f64 w))
0.4b	(pow.f64 (pow.f64 (pow.f64 l (fabs.f64 (cbrt.f64 (exp.f64 w)))) (sqrt.f64 (cbrt.f64 (exp.f64 w)))) (sqrt.f64 (exp.f64 w)))
0.5b	(pow.f64 (pow.f64 l (fabs.f64 (cbrt.f64 (exp.f64 w)))) (sqrt.f64 (cbrt.f64 (exp.f64 w))))
0.5b	(pow.f64 l (fabs.f64 (cbrt.f64 (exp.f64 w))))

rewrite17.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

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

Counts

4 → 89

Calls

4 calls:

6.0ms	(pow.f64 (pow.f64 (pow.f64 l (fabs.f64 (cbrt.f64 (exp.f64 w)))) (sqrt.f64 (cbrt.f64 (exp.f64 w)))) (sqrt.f64 (exp.f64 w)))
5.0ms	(pow.f64 (pow.f64 l (fabs.f64 (cbrt.f64 (exp.f64 w)))) (sqrt.f64 (cbrt.f64 (exp.f64 w))))
3.0ms	(pow.f64 l (fabs.f64 (cbrt.f64 (exp.f64 w))))
2.0ms	(cbrt.f64 (exp.f64 w))

series133.0ms (1.2%)

Counts

4 → 12

Calls

4 calls:

61.0ms	(pow.f64 (pow.f64 (pow.f64 l (fabs.f64 (cbrt.f64 (exp.f64 w)))) (sqrt.f64 (cbrt.f64 (exp.f64 w)))) (sqrt.f64 (exp.f64 w)))
41.0ms	(pow.f64 (pow.f64 l (fabs.f64 (cbrt.f64 (exp.f64 w)))) (sqrt.f64 (cbrt.f64 (exp.f64 w))))
16.0ms	(pow.f64 l (fabs.f64 (cbrt.f64 (exp.f64 w))))
14.0ms	(cbrt.f64 (exp.f64 w))

simplify76.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

101 → 101

Iterations

Useful iterations: 0 (62.0ms)

Iter	Nodes	Cost
0	4927	1520
1	4927	1520

prune130.0ms (1.2%)

Pruning

12 alts after pruning (12 fresh and 0 done)

	Pruned	Kept	Total
New	96	5	101
Fresh	2	7	9
Picked	1	0	1
Done	0	0	0
Total	99	12	111

Merged error: 0.2b

Counts

111 → 12

localize13.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(cbrt.f64 (exp.f64 w))
0.0b	(cbrt.f64 (exp.f64 w))
0.5b	(pow.f64 (pow.f64 l (fabs.f64 (cbrt.f64 (exp.f64 w)))) (*.f64 (sqrt.f64 (cbrt.f64 (exp.f64 w))) (sqrt.f64 (exp.f64 w))))
0.5b	(pow.f64 l (fabs.f64 (cbrt.f64 (exp.f64 w))))

rewrite12.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

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

Counts

4 → 60

Calls

4 calls:

4.0ms	(pow.f64 (pow.f64 l (fabs.f64 (cbrt.f64 (exp.f64 w)))) (*.f64 (sqrt.f64 (cbrt.f64 (exp.f64 w))) (sqrt.f64 (exp.f64 w))))
2.0ms	(pow.f64 l (fabs.f64 (cbrt.f64 (exp.f64 w))))
2.0ms	(cbrt.f64 (exp.f64 w))
2.0ms	(cbrt.f64 (exp.f64 w))

series99.0ms (0.9%)

Counts

4 → 12

Calls

4 calls:

51.0ms	(pow.f64 (pow.f64 l (fabs.f64 (cbrt.f64 (exp.f64 w)))) (*.f64 (sqrt.f64 (cbrt.f64 (exp.f64 w))) (sqrt.f64 (exp.f64 w))))
18.0ms	(pow.f64 l (fabs.f64 (cbrt.f64 (exp.f64 w))))
15.0ms	(cbrt.f64 (exp.f64 w))
14.0ms	(cbrt.f64 (exp.f64 w))

simplify81.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

72 → 72

Iterations

Useful iterations: 0 (70.0ms)

Iter	Nodes	Cost
0	4935	837
1	4935	837

prune69.0ms (0.6%)

Pruning

12 alts after pruning (12 fresh and 0 done)

	Pruned	Kept	Total
New	70	2	72
Fresh	1	10	11
Picked	1	0	1
Done	0	0	0
Total	72	12	84

Merged error: 0.2b

Counts

84 → 12

regimes123.0ms (1.1%)

Accuracy

Total 0.3b remaining (73.1%)

Threshold costs 0.3b (73.1%)

bsearch0.0ms (0%)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	13	25
1	13	25

end0.0ms (0%)

sample8.8s (79%)

Algorithm

1×

intervals

Results

6.0s	4596×	body	5120	exit
1.1s	2451×	body	1280	nan
563.0ms	2030×	body	640	nan
509.0ms	8000×	body	80	valid
168.0ms	957×	body	320	nan
33.0ms	323×	body	160	nan
10.0ms	155×	body	80	overflowed
10.0ms	239×	body	80	nan
8.0ms	119×	body	80	invalid
3.0ms	3×	body	2560	nan

Details

analyze663.0ms (6%)

sample273.0ms (2.5%)

simplify86.0ms (0.8%)

prune8.0ms (0.1%)

localize6.0ms (0%)

rewrite10.0ms (0.1%)

series41.0ms (0.4%)

simplify60.0ms (0.5%)

prune81.0ms (0.7%)

localize9.0ms (0.1%)

rewrite23.0ms (0.2%)

series88.0ms (0.8%)

simplify66.0ms (0.6%)

prune149.0ms (1.3%)

localize14.0ms (0.1%)

rewrite17.0ms (0.2%)

series133.0ms (1.2%)

simplify76.0ms (0.7%)

prune130.0ms (1.2%)

localize13.0ms (0.1%)

rewrite12.0ms (0.1%)

series99.0ms (0.9%)

simplify81.0ms (0.7%)

prune69.0ms (0.6%)

regimes123.0ms (1.1%)

bsearch0.0ms (0%)

simplify2.0ms (0%)

end0.0ms (0%)

sample8.8s (79%)

Profiling