Details

analyze81.0ms (3.6%)

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
0%	99.9%	0.1%	3
0%	99.9%	0.1%	4
25%	74.9%	0.1%	5
25%	50%	25.1%	6
25%	31.2%	43.8%	7
25%	21.9%	53.2%	8
25%	14%	61%	9
28.1%	10.9%	61%	10
31.6%	7.4%	61%	11
33.4%	5.7%	61%	12
35.2%	3.8%	61%	13
36.1%	2.9%	61%	14

Compiler

Compiled 18 to 13 computations (27.8% saved)

sample17.0ms (0.8%)

Algorithm

1×

intervals

Results

11.0ms

256×

body

128

valid

Compiler

Compiled 35 to 27 computations (22.9% saved)

simplify196.0ms (8.6%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (31.0ms)

Iter	Nodes	Cost
0	5044	25

prune2.0ms (0.1%)

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

Merged error: 0.1b

Counts

2 → 1

Compiler

Compiled 34 to 24 computations (29.4% saved)

localize10.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 (.f64 a a) (.f64 b b))
0.0b	(.f64 4 (.f64 b b))
0.0b	(+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2) (.f64 4 (.f64 b b)))
0.3b	(pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2)

rewrite29.0ms (1.3%)

Algorithm

1×	rewrite-expression-head

Rules

10×	`add-exp-log_binary64_2471` `pow1_binary64_2494`
9×	`add-cbrt-cube_binary64_2469`
8×	`add-sqr-sqrt_binary64_2457` `add-log-exp_binary64_2472`
7×	`add-cube-cbrt_binary64_2468` `*-un-lft-identity_binary64_2436`
3×	`prod-exp_binary64_2482` `unpow-prod-down_binary64_2512` `pow-prod-down_binary64_2504` `pow-unpow_binary64_2510` `cbrt-unprod_binary64_2466` `associate-l_binary64_2379`
2×	`flip3-+_binary64_2439` `flip-+_binary64_2410` `sum-log_binary64_2524` `+-commutative_binary64_2368`
1×	`-commutative_binary64_2369` `unpow2_binary64_2498` `unswap-sqr_binary64_2404` `pow-to-exp_binary64_2502` `associate-r*_binary64_2378` `pow-exp_binary64_2501` `pow-pow_binary64_2505` `sqr-pow_binary64_2408`

Counts

4 → 59

Calls

4 calls:

8.0ms	(+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2) (.f64 4 (.f64 b b)))
6.0ms	(.f64 4 (.f64 b b))
5.0ms	(pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2)
4.0ms	(+.f64 (.f64 a a) (.f64 b b))

series207.0ms (9.1%)

Counts

4 → 12

Calls

4 calls:

86.0ms	(+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2) (.f64 4 (.f64 b b)))
49.0ms	(pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2)
36.0ms	(.f64 4 (.f64 b b))
35.0ms	(+.f64 (.f64 a a) (.f64 b b))

simplify48.0ms (2.1%)

Algorithm

1×	egg-herbie

Counts

71 → 71

Iterations

Useful iterations: 0 (33.0ms)

Iter	Nodes	Cost
0	4931	1108
1	4931	1108

prune83.0ms (3.6%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	69	2	71
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	69	3	72

Merged error: 0b

Counts

72 → 3

Compiler

Compiled 1595 to 757 computations (52.5% saved)

localize15.0ms (0.7%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 (pow.f64 b 4) (pow.f64 a 4))
0.0b	(.f64 4 (.f64 b b))
0.0b	(+.f64 (+.f64 (.f64 (.f64 a a) (.f64 b (.f64 b 2))) (+.f64 (pow.f64 b 4) (pow.f64 a 4))) (.f64 4 (.f64 b b)))
1.6b	(.f64 (.f64 a a) (.f64 b (.f64 b 2)))

rewrite55.0ms (2.4%)

Algorithm

1×	rewrite-expression-head

Rules

30×	`add-exp-log_binary64_2471` `add-cbrt-cube_binary64_2469` `pow1_binary64_2494`
18×	`prod-exp_binary64_2482` `pow-prod-down_binary64_2504` `cbrt-unprod_binary64_2466`
15×	`add-log-exp_binary64_2472`
9×	`*-un-lft-identity_binary64_2436`
7×	`sum-log_binary64_2524`
6×	`add-sqr-sqrt_binary64_2457`
5×	`add-cube-cbrt_binary64_2468`
4×	`associate-l_binary64_2379`
2×	`flip3-+_binary64_2439` `distribute-lft-out_binary64_2389` `flip-+_binary64_2410` `-commutative_binary64_2369` `unpow-prod-down_binary64_2512` `associate-r*_binary64_2378` `+-commutative_binary64_2368`
1×	`unswap-sqr_binary64_2404` `associate-+l+_binary64_2371`

Counts

4 → 74

Calls

4 calls:

23.0ms	(+.f64 (+.f64 (.f64 (.f64 a a) (.f64 b (.f64 b 2))) (+.f64 (pow.f64 b 4) (pow.f64 a 4))) (.f64 4 (.f64 b b)))
10.0ms	(.f64 (.f64 a a) (.f64 b (.f64 b 2)))
8.0ms	(+.f64 (pow.f64 b 4) (pow.f64 a 4))
6.0ms	(.f64 4 (.f64 b b))

series243.0ms (10.6%)

Counts

4 → 12

Calls

4 calls:

89.0ms	(+.f64 (+.f64 (.f64 (.f64 a a) (.f64 b (.f64 b 2))) (+.f64 (pow.f64 b 4) (pow.f64 a 4))) (.f64 4 (.f64 b b)))
58.0ms	(.f64 (.f64 a a) (.f64 b (.f64 b 2)))
57.0ms	(+.f64 (pow.f64 b 4) (pow.f64 a 4))
38.0ms	(.f64 4 (.f64 b b))

simplify80.0ms (3.5%)

Algorithm

1×	egg-herbie

Counts

86 → 86

Iterations

Useful iterations: 0 (61.0ms)

Iter	Nodes	Cost
0	5059	1404

prune119.0ms (5.2%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	86	0	86
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	86	3	89

Merged error: 0b

Counts

89 → 3

Compiler

Compiled 2470 to 1622 computations (34.3% saved)

localize12.0ms (0.5%)

Local error

Found 4 expressions with local error:

0.0b	(.f64 4 (.f64 b b))
0.0b	(exp.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2))
0.3b	(pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2)
1.3b	(log.f64 (exp.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2)))

rewrite31.0ms (1.4%)

Algorithm

1×	rewrite-expression-head

Rules

16×	`exp-prod_binary64_2485`
13×	`add-sqr-sqrt_binary64_2457`
12×	`add-cube-cbrt_binary64_2468` `*-un-lft-identity_binary64_2436`
11×	`pow1_binary64_2494`
10×	`add-exp-log_binary64_2471`
9×	`log-pow_binary64_2522` `unpow-prod-down_binary64_2512` `add-cbrt-cube_binary64_2469`
5×	`add-log-exp_binary64_2472`
3×	`prod-exp_binary64_2482` `pow-prod-down_binary64_2504` `pow-unpow_binary64_2510` `unpow2_binary64_2498` `cbrt-unprod_binary64_2466` `sqr-pow_binary64_2408` `associate-l_binary64_2379` `log-prod_binary64_2519`
1×	`-commutative_binary64_2369` `unswap-sqr_binary64_2404` `pow-to-exp_binary64_2502` `associate-r*_binary64_2378` `pow-exp_binary64_2501` `pow-pow_binary64_2505` `rem-exp-log_binary64_2473` `rem-log-exp_binary64_2474`

Counts

4 → 73

Calls

4 calls:

7.0ms	(exp.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2))
6.0ms	(log.f64 (exp.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2)))
6.0ms	(.f64 4 (.f64 b b))
5.0ms	(pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2)

series181.0ms (7.9%)

Counts

4 → 12

Calls

4 calls:

66.0ms	(log.f64 (exp.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2)))
51.0ms	(pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2)
33.0ms	(.f64 4 (.f64 b b))
31.0ms	(exp.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2))

simplify105.0ms (4.6%)

Algorithm

1×	egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 0 (88.0ms)

Iter	Nodes	Cost
0	4994	1098
1	4994	1098

prune84.0ms (3.7%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	85	0	85
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	85	3	88

Merged error: 0b

Counts

88 → 3

Compiler

Compiled 1971 to 915 computations (53.6% saved)

regimes80.0ms (3.5%)

Compiler: Compiled 530 to 398 computations (24.9% saved)

bsearch0.0ms (0%)

simplify5.0ms (0.2%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	35	37
1	35	37

end0.0ms (0%)

sample600.0ms (26.3%)

Algorithm

1×

intervals

Results

347.0ms	8000×	body	128	valid
0.0ms	7×	body	128	invalid

Compiler

Compiled 104 to 79 computations (24% saved)

Details

analyze81.0ms (3.6%)

sample17.0ms (0.8%)

simplify196.0ms (8.6%)

prune2.0ms (0.1%)

localize10.0ms (0.4%)

rewrite29.0ms (1.3%)

series207.0ms (9.1%)

simplify48.0ms (2.1%)

prune83.0ms (3.6%)

localize15.0ms (0.7%)

rewrite55.0ms (2.4%)

series243.0ms (10.6%)

simplify80.0ms (3.5%)

prune119.0ms (5.2%)

localize12.0ms (0.5%)

rewrite31.0ms (1.4%)

series181.0ms (7.9%)

simplify105.0ms (4.6%)

prune84.0ms (3.7%)

regimes80.0ms (3.5%)

bsearch0.0ms (0%)

simplify5.0ms (0.2%)

end0.0ms (0%)

sample600.0ms (26.3%)

Profiling