Details

analyze241.0ms (10.2%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5092	50
0	2	2
1	2	2

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)

sample18.0ms (0.7%)

Algorithm

1×

intervals

Results

11.0ms

256×

body

128

valid

Compiler

Compiled 35 to 27 computations (22.9% saved)

simplify39.0ms (1.6%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (34.0ms)

Iter	Nodes	Cost
0	5126	25

prune3.0ms (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

Error

0.2b

Counts

2 → 1

Compiler

Compiled 34 to 24 computations (29.4% saved)

localize13.0ms (0.5%)

Local error

Found 3 expressions with local error:

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)))
0.4b	(pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2)

rewrite22.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Rules

9×	`add-exp-log_binary64_2503` `pow1_binary64_2526`
8×	`add-cbrt-cube_binary64_2501`
7×	`add-sqr-sqrt_binary64_2487`
6×	`*-un-lft-identity_binary64_2465` `add-cube-cbrt_binary64_2500`
5×	`add-log-exp_binary64_2504`
3×	`unpow-prod-down_binary64_2544` `prod-exp_binary64_2514` `pow-prod-down_binary64_2536` `pow-unpow_binary64_2542` `associate-l_binary64_2406` `cbrt-unprod_binary64_2498`
1×	`flip3-+_binary64_2468` `-commutative_binary64_2396` `+-commutative_binary64_2395` `unpow2_binary64_2530` `sum-log_binary64_2556` `flip-+_binary64_2439` `pow-exp_binary64_2533` `unswap-sqr_binary64_2433` `pow-to-exp_binary64_2534` `sqr-pow_binary64_2437` `pow-pow_binary64_2537` `associate-r*_binary64_2405`

Counts

3 → 48

Calls

3 calls:

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

series92.0ms (3.9%)

Counts

3 → 9

Calls

3 calls:

46.0ms	(+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2) (.f64 4 (.f64 b b)))
28.0ms	(pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2)
18.0ms	(.f64 4 (.f64 b b))

simplify72.0ms (3.1%)

Algorithm

1×	egg-herbie

Counts

57 → 57

Iterations

Useful iterations: 0 (55.0ms)

Iter	Nodes	Cost
0	4977	926
1	4977	926

prune65.0ms (2.8%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	55	2	57
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	56	2	58

Error

Counts

58 → 2

Compiler

Compiled 1298 to 623 computations (52% saved)

localize16.0ms (0.7%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 (.f64 (.f64 a a) (.f64 b (.f64 b 2))) (+.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)))
3.5b	(.f64 (.f64 a a) (.f64 b (.f64 b 2)))

rewrite66.0ms (2.8%)

Algorithm

1×	rewrite-expression-head

Rules

30×	`add-exp-log_binary64_2503` `add-cbrt-cube_binary64_2501` `pow1_binary64_2526`
18×	`add-log-exp_binary64_2504` `prod-exp_binary64_2514` `pow-prod-down_binary64_2536` `cbrt-unprod_binary64_2498`
9×	`sum-log_binary64_2556`
6×	`add-sqr-sqrt_binary64_2487`
5×	`*-un-lft-identity_binary64_2465` `add-cube-cbrt_binary64_2500`
4×	`associate-l_binary64_2406`
2×	`flip3-+_binary64_2468` `-commutative_binary64_2396` `+-commutative_binary64_2395` `flip-+_binary64_2439` `associate-r*_binary64_2405`
1×	`associate-+l+_binary64_2398` `unswap-sqr_binary64_2433` `associate-+r+_binary64_2397`

Counts

4 → 74

Calls

4 calls:

22.0ms	(+.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)))
16.0ms	(+.f64 (.f64 (.f64 a a) (.f64 b (.f64 b 2))) (+.f64 (pow.f64 b 4) (pow.f64 a 4)))
11.0ms	(.f64 (.f64 a a) (.f64 b (.f64 b 2)))
6.0ms	(.f64 4 (.f64 b b))

series132.0ms (5.6%)

Counts

4 → 12

Calls

4 calls:

48.0ms	(+.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)))
39.0ms	(+.f64 (.f64 (.f64 a a) (.f64 b (.f64 b 2))) (+.f64 (pow.f64 b 4) (pow.f64 a 4)))
28.0ms	(.f64 (.f64 a a) (.f64 b (.f64 b 2)))
17.0ms	(.f64 4 (.f64 b b))

simplify66.0ms (2.8%)

Algorithm

1×	egg-herbie

Counts

86 → 86

Iterations

Useful iterations: 0 (45.0ms)

Iter	Nodes	Cost
0	4966	1703
1	4966	1703

prune117.0ms (4.9%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	86	0	86
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	86	2	88

Error

Counts

88 → 2

Compiler

Compiled 2538 to 1664 computations (34.4% saved)

localize15.0ms (0.6%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2) (.f64 (.f64 b b) 4))
0.4b	(pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2)
4.6b	(exp.f64 (log.f64 (+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2) (.f64 (.f64 b b) 4))))
12.8b	(log.f64 (+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2) (.f64 (.f64 b b) 4)))

rewrite35.0ms (1.5%)

Algorithm

1×	rewrite-expression-head

Rules

9×	`*-un-lft-identity_binary64_2465` `add-cube-cbrt_binary64_2500` `add-sqr-sqrt_binary64_2487`
7×	`pow1_binary64_2526`
6×	`add-log-exp_binary64_2504` `log-prod_binary64_2551` `add-exp-log_binary64_2503`
4×	`log-div_binary64_2552` `add-cbrt-cube_binary64_2501` `exp-prod_binary64_2517`
3×	`flip3-+_binary64_2468` `flip-+_binary64_2439` `unpow-prod-down_binary64_2544` `exp-sum_binary64_2511` `pow-unpow_binary64_2542`
2×	`log-pow_binary64_2554` `exp-diff_binary64_2513`
1×	`+-commutative_binary64_2395` `unpow2_binary64_2530` `sum-log_binary64_2556` `pow-exp_binary64_2533` `pow-to-exp_binary64_2534` `sqr-pow_binary64_2437` `pow-pow_binary64_2537` `rem-exp-log_binary64_2505` `rem-log-exp_binary64_2506`

Counts

4 → 60

Calls

4 calls:

8.0ms	(exp.f64 (log.f64 (+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2) (.f64 (.f64 b b) 4))))
8.0ms	(log.f64 (+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2) (.f64 (.f64 b b) 4)))
8.0ms	(+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2) (.f64 (.f64 b b) 4))
5.0ms	(pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2)

series209.0ms (8.9%)

Counts

4 → 12

Calls

4 calls:

88.0ms	(exp.f64 (log.f64 (+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2) (.f64 (.f64 b b) 4))))
49.0ms	(log.f64 (+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2) (.f64 (.f64 b b) 4)))
45.0ms	(+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2) (.f64 (.f64 b b) 4))
27.0ms	(pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2)

simplify52.0ms (2.2%)

Algorithm

1×	egg-herbie

Counts

72 → 72

Iterations

Useful iterations: 0 (32.0ms)

Iter	Nodes	Cost
0	5247	1785

prune81.0ms (3.4%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	72	0	72
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	72	2	74

Error

Counts

74 → 2

Compiler

Compiled 1868 to 941 computations (49.6% saved)

regimes195.0ms (8.2%)

Accuracy

Total 0.0b remaining (67.6%)

Threshold costs 0.0b (67.6%)

Compiler

Compiled 2251 to 1610 computations (28.5% saved)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	35	37
1	35	37

end0.0ms (0%)

sample816.0ms (34.5%)

Algorithm

1×

intervals

Results

354.0ms	8000×	body	128	valid
0.0ms	3×	body	128	invalid

Compiler

Compiled 337 to 245 computations (27.3% saved)

Details

analyze241.0ms (10.2%)

sample18.0ms (0.7%)

simplify39.0ms (1.6%)

prune3.0ms (0.1%)

localize13.0ms (0.5%)

rewrite22.0ms (0.9%)

series92.0ms (3.9%)

simplify72.0ms (3.1%)

prune65.0ms (2.8%)

localize16.0ms (0.7%)

rewrite66.0ms (2.8%)

series132.0ms (5.6%)

simplify66.0ms (2.8%)

prune117.0ms (4.9%)

localize15.0ms (0.6%)

rewrite35.0ms (1.5%)

series209.0ms (8.9%)

simplify52.0ms (2.2%)

prune81.0ms (3.4%)

regimes195.0ms (8.2%)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

end0.0ms (0%)

sample816.0ms (34.5%)

Profiling