Details

analyze63.0ms (1.6%)

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
37.5%	62.4%	0.1%	6
50%	37.5%	12.6%	7
56.2%	31.2%	12.6%	8
62.4%	18.7%	18.8%	9
65.6%	15.6%	18.8%	10
68.7%	9.4%	22%	11
70.2%	7.8%	22%	12
71.8%	4.7%	23.5%	13
72.6%	3.9%	23.5%	14

Compiler

Compiled 8 to 7 computations (12.5% saved)

sample13.0ms (0.3%)

Algorithm

1×

intervals

Results

6.0ms	256×	body	128	valid
0.0ms	8×	body	128	invalid

Compiler

Compiled 15 to 15 computations (0% saved)

simplify96.0ms (2.4%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	35	10
1	35	10

prune6.0ms (0.2%)

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 14 to 12 computations (14.3% saved)

localize5.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.2b	(.f64 (.f64 x 3) y)
0.1b	(.f64 (.f64 (*.f64 x 3) y) y)
0.1b	(.f64 (.f64 (*.f64 x 3) y) y)
0.2b	(.f64 (.f64 x 3) y)

rewrite17.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

16×	`add-exp-log_binary64_14779` `add-cbrt-cube_binary64_14777` `pow1_binary64_14802`
9×	`cbrt-unprod_binary64_14774` `pow-prod-down_binary64_14812` `prod-exp_binary64_14790`
6×	`associate-r_binary64_14681`
4×	`add-sqr-sqrt_binary64_14763` `*-un-lft-identity_binary64_14741` `add-cube-cbrt_binary64_14776`
2×	`add-log-exp_binary64_14780` `associate-l_binary64_14682` `*-commutative_binary64_14672`

Counts

2 → 39

Calls

4 calls:

8.0ms	(.f64 (.f64 (*.f64 x 3) y) y)
6.0ms	(.f64 (.f64 x 3) y)
0.0ms	(.f64 (.f64 (*.f64 x 3) y) y)
0.0ms	(.f64 (.f64 x 3) y)

series126.0ms (3.1%)

Counts

2 → 12

Calls

2 calls:

74.0ms	(.f64 (.f64 (*.f64 x 3) y) y)
52.0ms	(.f64 (.f64 x 3) y)

Compiler

Compiled 168 to 156 computations (7.1% saved)

simplify55.0ms (1.4%)

Algorithm

1×	egg-herbie

Counts

51 → 51

Iterations

Useful iterations: 0 (44.0ms)

Iter	Nodes	Cost
0	5058	502

prune53.0ms (1.3%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	43	8	51
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	43	9	52

Error

0.0b

Counts

52 → 9

Compiler

Compiled 599 to 370 computations (38.2% saved)

localize5.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.2b	(.f64 x (.f64 3 y))
0.1b	(.f64 (.f64 x (*.f64 3 y)) y)
0.1b	(.f64 (.f64 x (*.f64 3 y)) y)
0.2b	(.f64 x (.f64 3 y))

rewrite16.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

16×	`add-exp-log_binary64_14779` `add-cbrt-cube_binary64_14777` `pow1_binary64_14802`
9×	`cbrt-unprod_binary64_14774` `pow-prod-down_binary64_14812` `prod-exp_binary64_14790`
4×	`add-sqr-sqrt_binary64_14763` `associate-l_binary64_14682` `-un-lft-identity_binary64_14741` `associate-r*_binary64_14681` `add-cube-cbrt_binary64_14776`
2×	`add-log-exp_binary64_14780` `*-commutative_binary64_14672`

Counts

2 → 39

Calls

4 calls:

8.0ms	(.f64 (.f64 x (*.f64 3 y)) y)
6.0ms	(.f64 x (.f64 3 y))
0.0ms	(.f64 (.f64 x (*.f64 3 y)) y)
0.0ms	(.f64 x (.f64 3 y))

series121.0ms (3%)

Counts

2 → 12

Calls

2 calls:

71.0ms	(.f64 (.f64 x (*.f64 3 y)) y)
50.0ms	(.f64 x (.f64 3 y))

Compiler

Compiled 168 to 156 computations (7.1% saved)

simplify49.0ms (1.2%)

Algorithm

1×	egg-herbie

Counts

51 → 51

Iterations

Useful iterations: 0 (38.0ms)

Iter	Nodes	Cost
0	4936	503
1	4936	503

prune37.0ms (0.9%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	49	2	51
Fresh	4	3	7
Picked	0	1	1
Done	0	1	1
Total	53	7	60

Error

0.0b

Counts

60 → 7

Compiler

Compiled 552 to 363 computations (34.2% saved)

localize10.0ms (0.2%)

Local error

Found 8 expressions with local error:

0.2b	(.f64 (.f64 x 3) y)
0.2b	(.f64 (.f64 x 3) y)
0.2b	(.f64 (.f64 x 3) y)
0.1b	(.f64 (.f64 (.f64 (cbrt.f64 (.f64 (.f64 x 3) y)) (cbrt.f64 (.f64 (.f64 x 3) y))) (cbrt.f64 (.f64 (*.f64 x 3) y))) y)
0.5b	(.f64 (cbrt.f64 (.f64 (.f64 x 3) y)) (cbrt.f64 (.f64 (*.f64 x 3) y)))
11.2b	(cbrt.f64 (.f64 (.f64 x 3) y))
11.2b	(cbrt.f64 (.f64 (.f64 x 3) y))
11.2b	(cbrt.f64 (.f64 (.f64 x 3) y))

rewrite25.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

11×	`pow1_binary64_14802`
10×	`add-sqr-sqrt_binary64_14763`
9×	`pow1/3_binary64_14823`
8×	`*-un-lft-identity_binary64_14741` `add-cube-cbrt_binary64_14776`
7×	`cbrt-prod_binary64_14772`
6×	`add-exp-log_binary64_14779`
4×	`add-log-exp_binary64_14780` `swap-sqr_binary64_14708` `add-cbrt-cube_binary64_14777` `associate-l_binary64_14682` `associate-r_binary64_14681`
2×	`pow-sqr_binary64_14714` `pow-prod-down_binary64_14812` `pow-prod-up_binary64_14811`
1×	`unswap-sqr_binary64_14709` `cbrt-unprod_binary64_14774` `pow2_binary64_14822` `*-commutative_binary64_14672` `prod-exp_binary64_14790` `pow-plus_binary64_14804`

Counts

4 → 58

Calls

8 calls:

7.0ms	(.f64 (cbrt.f64 (.f64 (.f64 x 3) y)) (cbrt.f64 (.f64 (*.f64 x 3) y)))
4.0ms	(cbrt.f64 (.f64 (.f64 x 3) y))
4.0ms	(cbrt.f64 (.f64 (.f64 x 3) y))
4.0ms	(cbrt.f64 (.f64 (.f64 x 3) y))
0.0ms	(.f64 (.f64 (.f64 (cbrt.f64 (.f64 (.f64 x 3) y)) (cbrt.f64 (.f64 (.f64 x 3) y))) (cbrt.f64 (.f64 (*.f64 x 3) y))) y)

series960.0ms (23.8%)

Counts

4 → 24

Calls

4 calls:

301.0ms	(.f64 (cbrt.f64 (.f64 (.f64 x 3) y)) (cbrt.f64 (.f64 (*.f64 x 3) y)))
227.0ms	(cbrt.f64 (.f64 (.f64 x 3) y))
222.0ms	(cbrt.f64 (.f64 (.f64 x 3) y))
210.0ms	(cbrt.f64 (.f64 (.f64 x 3) y))

Compiler

Compiled 1348 to 1132 computations (16% saved)

simplify117.0ms (2.9%)

Algorithm

1×	egg-herbie

Counts

82 → 82

Iterations

Useful iterations: 0 (100.0ms)

Iter	Nodes	Cost
0	4916	913
1	4916	913

prune107.0ms (2.7%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	80	2	82
Fresh	0	4	4
Picked	1	0	1
Done	0	2	2
Total	81	8	89

Error

0.0b

Counts

89 → 8

Compiler

Compiled 1974 to 1366 computations (30.8% saved)

localize15.0ms (0.4%)

Local error

Found 8 expressions with local error:

0.3b	(.f64 (.f64 (cbrt.f64 (.f64 (.f64 x 3) y)) (cbrt.f64 (.f64 (.f64 x 3) y))) (.f64 (cbrt.f64 (.f64 x y)) (cbrt.f64 3)))
0.2b	(.f64 (.f64 x 3) y)
0.2b	(.f64 (.f64 x 3) y)
0.1b	(.f64 (.f64 (.f64 (cbrt.f64 (.f64 (.f64 x 3) y)) (cbrt.f64 (.f64 (.f64 x 3) y))) (.f64 (cbrt.f64 (*.f64 x y)) (cbrt.f64 3))) y)
0.5b	(.f64 (cbrt.f64 (.f64 (.f64 x 3) y)) (cbrt.f64 (.f64 (*.f64 x 3) y)))
11.2b	(cbrt.f64 (.f64 (.f64 x 3) y))
11.2b	(cbrt.f64 (.f64 (.f64 x 3) y))
11.2b	(cbrt.f64 (*.f64 x y))

rewrite24.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

11×	`pow1_binary64_14802`
10×	`add-sqr-sqrt_binary64_14763`
9×	`pow1/3_binary64_14823`
8×	`*-un-lft-identity_binary64_14741` `add-cube-cbrt_binary64_14776`
7×	`cbrt-prod_binary64_14772`
6×	`add-exp-log_binary64_14779`
4×	`add-log-exp_binary64_14780` `swap-sqr_binary64_14708` `add-cbrt-cube_binary64_14777` `associate-l_binary64_14682` `associate-r_binary64_14681`
2×	`pow-sqr_binary64_14714` `pow-prod-down_binary64_14812` `pow-prod-up_binary64_14811`
1×	`unswap-sqr_binary64_14709` `cbrt-unprod_binary64_14774` `pow2_binary64_14822` `*-commutative_binary64_14672` `prod-exp_binary64_14790` `pow-plus_binary64_14804`

Counts

4 → 58

Calls

8 calls:

7.0ms	(.f64 (cbrt.f64 (.f64 (.f64 x 3) y)) (cbrt.f64 (.f64 (*.f64 x 3) y)))
4.0ms	(cbrt.f64 (.f64 (.f64 x 3) y))
4.0ms	(cbrt.f64 (.f64 (.f64 x 3) y))
3.0ms	(cbrt.f64 (*.f64 x y))
0.0ms	(.f64 (.f64 (.f64 (cbrt.f64 (.f64 (.f64 x 3) y)) (cbrt.f64 (.f64 (.f64 x 3) y))) (.f64 (cbrt.f64 (*.f64 x y)) (cbrt.f64 3))) y)

series937.0ms (23.2%)

Counts

4 → 24

Calls

4 calls:

312.0ms	(.f64 (cbrt.f64 (.f64 (.f64 x 3) y)) (cbrt.f64 (.f64 (*.f64 x 3) y)))
217.0ms	(cbrt.f64 (.f64 (.f64 x 3) y))
212.0ms	(cbrt.f64 (.f64 (.f64 x 3) y))
195.0ms	(cbrt.f64 (*.f64 x y))

Compiler

Compiled 1396 to 1180 computations (15.5% saved)

simplify102.0ms (2.5%)

Algorithm

1×	egg-herbie

Counts

82 → 82

Iterations

Useful iterations: 0 (84.0ms)

Iter	Nodes	Cost
0	4904	876
1	4904	876

prune90.0ms (2.2%)

Pruning

8 alts after pruning (5 fresh and 3 done)

	Pruned	Kept	Total
New	82	0	82
Fresh	0	5	5
Picked	0	1	1
Done	0	2	2
Total	82	8	90

Error

0.0b

Counts

90 → 8

Compiler

Compiled 1972 to 1220 computations (38.1% saved)

simplify7.0ms (0.2%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	121	477
1	121	477

regimes114.0ms (2.8%)

Compiler: Compiled 931 to 763 computations (18% saved)

bsearch0.0ms (0%)

regimes44.0ms (1.1%)

Compiler: Compiled 98 to 120 computations (-22.4% saved)

bsearch0.0ms (0%)

regimes43.0ms (1.1%)

Compiler: Compiled 77 to 102 computations (-32.5% saved)

bsearch0.0ms (0%)

regimes18.0ms (0.4%)

Accuracy

Total 0.2b remaining (90.3%)

Threshold costs 0.2b (90.3%)

Compiler

Compiled 10 to 26 computations (-160% saved)

bsearch3.0ms (0.1%)

Compiler: Compiled 23 to 24 computations (-4.3% saved)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	23	32
1	23	32

end0.0ms (0%)

sample758.0ms (18.8%)

Algorithm

1×

intervals

Results

186.0ms	8000×	body	128	valid
4.0ms	194×	body	128	invalid

Compiler

Compiled 345 to 288 computations (16.5% saved)

Pareto

0.0

Details

analyze63.0ms (1.6%)

sample13.0ms (0.3%)

simplify96.0ms (2.4%)

prune6.0ms (0.2%)

localize5.0ms (0.1%)

rewrite17.0ms (0.4%)

series126.0ms (3.1%)

simplify55.0ms (1.4%)

prune53.0ms (1.3%)

localize5.0ms (0.1%)

rewrite16.0ms (0.4%)

series121.0ms (3%)

simplify49.0ms (1.2%)

prune37.0ms (0.9%)

localize10.0ms (0.2%)

rewrite25.0ms (0.6%)

series960.0ms (23.8%)

simplify117.0ms (2.9%)

prune107.0ms (2.7%)

localize15.0ms (0.4%)

rewrite24.0ms (0.6%)

series937.0ms (23.2%)

simplify102.0ms (2.5%)

prune90.0ms (2.2%)

simplify7.0ms (0.2%)

regimes114.0ms (2.8%)

bsearch0.0ms (0%)

regimes44.0ms (1.1%)

bsearch0.0ms (0%)

regimes43.0ms (1.1%)

bsearch0.0ms (0%)

regimes18.0ms (0.4%)

bsearch3.0ms (0.1%)

simplify3.0ms (0.1%)

end0.0ms (0%)

sample758.0ms (18.8%)

Profiling