Details

analyze1.0s (5.3%)

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

Compiler

Compiled 9 to 8 computations (11.1% saved)

sample422.0ms (2.2%)

Algorithm

1×

intervals

Results

332.0ms	144×	body	8192	exit
39.0ms	99×	body	1024	nan
17.0ms	256×	body	128	valid
9.0ms	37×	body	512	nan
3.0ms	24×	body	256	nan
1.0ms	10×	body	128	overflowed
1.0ms	1×	body	2048	nan
1.0ms	9×	body	128	nan
0.0ms	3×	body	128	invalid

Compiler

Compiled 17 to 17 computations (0% saved)

simplify235.0ms (1.2%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (134.0ms)

Iter	Nodes	Cost
0	4896	11
1	4896	11

prune12.0ms (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

0.2b

Counts

2 → 2

Compiler

Compiled 22 to 17 computations (22.7% saved)

localize12.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.0b	(*.f64 (exp.f64 (neg.f64 w)) (pow.f64 l (exp.f64 w)))
0.2b	(pow.f64 l (exp.f64 w))

rewrite27.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

12×	`add-sqr-sqrt_binary64_441`
7×	`-un-lft-identity_binary64_419` `unpow-prod-down_binary64_498` `add-cube-cbrt_binary64_454` `associate-r*_binary64_359`
5×	`add-exp-log_binary64_457`
4×	`add-cbrt-cube_binary64_455`
3×	`unswap-sqr_binary64_387` `prod-exp_binary64_468` `sqr-pow_binary64_391` `associate-l_binary64_360` `pow-unpow_binary64_496` `pow1_binary64_480`
2×	`associate-*l/_binary64_362` `add-log-exp_binary64_458` `pow-exp_binary64_487` `pow-to-exp_binary64_488`
1×	`exp-diff_binary64_467` `exp-neg_binary64_466` `cbrt-unprod_binary64_452` `*-commutative_binary64_350` `pow-pow_binary64_491` `neg-sub0_binary64_414`

Counts

2 → 44

Calls

2 calls:

17.0ms	(*.f64 (exp.f64 (neg.f64 w)) (pow.f64 l (exp.f64 w)))
4.0ms	(pow.f64 l (exp.f64 w))

series271.0ms (1.4%)

Counts

2 → 6

Calls

2 calls:

162.0ms	(*.f64 (exp.f64 (neg.f64 w)) (pow.f64 l (exp.f64 w)))
109.0ms	(pow.f64 l (exp.f64 w))

simplify94.0ms (0.5%)

Algorithm

1×	egg-herbie

Counts

50 → 50

Iterations

Useful iterations: 0 (67.0ms)

Iter	Nodes	Cost
0	5142	685

prune76.0ms (0.4%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	47	3	50
Fresh	1	0	1
Picked	1	0	1
Done	0	0	0
Total	49	3	52

Error

0.1b

Counts

52 → 3

Compiler

Compiled 705 to 178 computations (74.8% saved)

localize21.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.4b	(*.f64 (cbrt.f64 (pow.f64 l (exp.f64 w))) (cbrt.f64 (pow.f64 l (exp.f64 w))))
0.4b	(cbrt.f64 (pow.f64 l (exp.f64 w)))
0.4b	(cbrt.f64 (pow.f64 l (exp.f64 w)))
0.4b	(cbrt.f64 (pow.f64 l (exp.f64 w)))

rewrite49.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

73×	`cbrt-prod_binary64_450`
46×	`add-sqr-sqrt_binary64_441`
29×	`unpow-prod-down_binary64_498`
22×	`*-un-lft-identity_binary64_419` `add-cube-cbrt_binary64_454`
16×	`unswap-sqr_binary64_387`
15×	`sqr-pow_binary64_391`
11×	`pow1_binary64_480`
10×	`associate-r_binary64_359` `swap-sqr_binary64_386` `associate-l_binary64_360`
9×	`pow1/3_binary64_501`
6×	`add-exp-log_binary64_457`
4×	`add-log-exp_binary64_458` `add-cbrt-cube_binary64_455`
2×	`pow-prod-down_binary64_490` `pow-sqr_binary64_392` `pow-prod-up_binary64_489`
1×	`prod-exp_binary64_468` `cbrt-unprod_binary64_452` `pow-plus_binary64_482` `*-commutative_binary64_350` `pow2_binary64_500`

Counts

4 → 109

Calls

4 calls:

21.0ms	(*.f64 (cbrt.f64 (pow.f64 l (exp.f64 w))) (cbrt.f64 (pow.f64 l (exp.f64 w))))
4.0ms	(cbrt.f64 (pow.f64 l (exp.f64 w)))
4.0ms	(cbrt.f64 (pow.f64 l (exp.f64 w)))
4.0ms	(cbrt.f64 (pow.f64 l (exp.f64 w)))

series774.0ms (4%)

Counts

4 → 12

Calls

4 calls:

239.0ms	(*.f64 (cbrt.f64 (pow.f64 l (exp.f64 w))) (cbrt.f64 (pow.f64 l (exp.f64 w))))
204.0ms	(cbrt.f64 (pow.f64 l (exp.f64 w)))
176.0ms	(cbrt.f64 (pow.f64 l (exp.f64 w)))
154.0ms	(cbrt.f64 (pow.f64 l (exp.f64 w)))

simplify111.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

121 → 121

Iterations

Useful iterations: 0 (57.0ms)

Iter	Nodes	Cost
0	5217	2291

prune204.0ms (1.1%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	118	3	121
Fresh	1	1	2
Picked	1	0	1
Done	0	0	0
Total	120	4	124

Error

0.0b

Counts

124 → 4

Compiler

Compiled 3282 to 747 computations (77.2% saved)

localize24.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.5b	(cbrt.f64 (pow.f64 (cbrt.f64 l) (exp.f64 w)))
0.5b	(cbrt.f64 (pow.f64 (pow.f64 l 2/3) (exp.f64 w)))
0.6b	(cbrt.f64 l)
6.0b	(pow.f64 l 2/3)

rewrite31.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

27×	`cbrt-prod_binary64_450`
19×	`unpow-prod-down_binary64_498`
13×	`*-un-lft-identity_binary64_419` `add-cube-cbrt_binary64_454` `add-sqr-sqrt_binary64_441`
5×	`add-exp-log_binary64_457` `pow1_binary64_480`
4×	`add-log-exp_binary64_458` `sqr-pow_binary64_391` `add-cbrt-cube_binary64_455`
3×	`pow1/3_binary64_501` `pow-unpow_binary64_496`
1×	`pow-exp_binary64_487` `pow-to-exp_binary64_488` `pow-pow_binary64_491`

Counts

4 → 65

Calls

4 calls:

7.0ms	(cbrt.f64 (pow.f64 (pow.f64 l 2/3) (exp.f64 w)))
5.0ms	(cbrt.f64 (pow.f64 (cbrt.f64 l) (exp.f64 w)))
4.0ms	(pow.f64 l 2/3)
2.0ms	(cbrt.f64 l)

series678.0ms (3.5%)

Counts

4 → 12

Calls

4 calls:

259.0ms	(cbrt.f64 (pow.f64 (pow.f64 l 2/3) (exp.f64 w)))
210.0ms	(cbrt.f64 (pow.f64 (cbrt.f64 l) (exp.f64 w)))
121.0ms	(cbrt.f64 l)
88.0ms	(pow.f64 l 2/3)

simplify75.0ms (0.4%)

Algorithm

1×	egg-herbie

Counts

77 → 77

Iterations

Useful iterations: 0 (50.0ms)

Iter	Nodes	Cost
0	4994	1025
1	4994	1025

prune158.0ms (0.8%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	75	2	77
Fresh	1	2	3
Picked	1	0	1
Done	0	0	0
Total	77	4	81

Error

0.0b

Counts

81 → 4

Compiler

Compiled 2742 to 959 computations (65% saved)

localize43.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.5b	(*.f64 (cbrt.f64 (sqrt.f64 l)) (cbrt.f64 (sqrt.f64 l)))
0.7b	(cbrt.f64 (sqrt.f64 l))
0.7b	(cbrt.f64 (sqrt.f64 l))
6.0b	(pow.f64 l 2/3)

rewrite41.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

52×	`cbrt-prod_binary64_450`
44×	`add-sqr-sqrt_binary64_441`
26×	`sqrt-prod_binary64_435`
22×	`*-un-lft-identity_binary64_419` `add-cube-cbrt_binary64_454`
12×	`pow1_binary64_480`
11×	`swap-sqr_binary64_386`
9×	`associate-r_binary64_359` `unswap-sqr_binary64_387` `associate-l_binary64_360`
8×	`pow1/3_binary64_501`
7×	`add-exp-log_binary64_457`
4×	`add-log-exp_binary64_458` `add-cbrt-cube_binary64_455`
3×	`unpow-prod-down_binary64_498` `pow-unpow_binary64_496`
2×	`pow-prod-down_binary64_490` `pow-sqr_binary64_392` `pow-prod-up_binary64_489`
1×	`prod-exp_binary64_468` `cbrt-unprod_binary64_452` `pow-exp_binary64_487` `sqr-pow_binary64_391` `pow-plus_binary64_482` `pow-to-exp_binary64_488` `*-commutative_binary64_350` `pow-pow_binary64_491` `pow2_binary64_500`

Counts

4 → 101

Calls

4 calls:

17.0ms	(*.f64 (cbrt.f64 (sqrt.f64 l)) (cbrt.f64 (sqrt.f64 l)))
4.0ms	(pow.f64 l 2/3)
4.0ms	(cbrt.f64 (sqrt.f64 l))
3.0ms	(cbrt.f64 (sqrt.f64 l))

series304.0ms (1.6%)

Counts

4 → 12

Calls

4 calls:

80.0ms	(cbrt.f64 (sqrt.f64 l))
80.0ms	(pow.f64 l 2/3)
73.0ms	(*.f64 (cbrt.f64 (sqrt.f64 l)) (cbrt.f64 (sqrt.f64 l)))
71.0ms	(cbrt.f64 (sqrt.f64 l))

simplify64.0ms (0.3%)

Algorithm

1×	egg-herbie

Counts

113 → 113

Iterations

Useful iterations: 0 (44.0ms)

Iter	Nodes	Cost
0	5083	1214

prune226.0ms (1.2%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	113	0	113
Fresh	0	3	3
Picked	0	1	1
Done	0	0	0
Total	113	4	117

Error

0.0b

Counts

117 → 4

Compiler

Compiled 4245 to 1291 computations (69.6% saved)

regimes132.0ms (0.7%)

Accuracy

Total 0.2b remaining (72%)

Threshold costs 0.2b (72%)

Compiler

Compiled 1478 to 847 computations (42.7% saved)

bsearch0.0ms (0%)

simplify4.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	16	13
1	16	13

end0.0ms (0%)

sample14.2s (73.6%)

Algorithm

1×

intervals

Results

10.8s	4665×	body	8192	exit
1.4s	3271×	body	1024	nan
573.0ms	8000×	body	128	valid
368.0ms	1636×	body	512	nan
111.0ms	810×	body	256	nan
20.0ms	342×	body	128	nan
13.0ms	153×	body	128	overflowed
10.0ms	131×	body	128	invalid
6.0ms	3×	body	4096	nan
4.0ms	5×	body	2048	nan

Compiler

Compiled 503 to 292 computations (41.9% saved)

Details

analyze1.0s (5.3%)

sample422.0ms (2.2%)

simplify235.0ms (1.2%)

prune12.0ms (0.1%)

localize12.0ms (0.1%)

rewrite27.0ms (0.1%)

series271.0ms (1.4%)

simplify94.0ms (0.5%)

prune76.0ms (0.4%)

localize21.0ms (0.1%)

rewrite49.0ms (0.3%)

series774.0ms (4%)

simplify111.0ms (0.6%)

prune204.0ms (1.1%)

localize24.0ms (0.1%)

rewrite31.0ms (0.2%)

series678.0ms (3.5%)

simplify75.0ms (0.4%)

prune158.0ms (0.8%)

localize43.0ms (0.2%)

rewrite41.0ms (0.2%)

series304.0ms (1.6%)

simplify64.0ms (0.3%)

prune226.0ms (1.2%)

regimes132.0ms (0.7%)

bsearch0.0ms (0%)

simplify4.0ms (0%)

end0.0ms (0%)

sample14.2s (73.6%)

Profiling