Details

analyze548.0ms (7.3%)

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
0%	99.9%	0.1%	3
0%	99.9%	0.1%	4
0%	99.9%	0.1%	5
0%	99.9%	0.1%	6
12.5%	87.4%	0.1%	7
25%	74.9%	0.1%	8
31.2%	64%	4.8%	9
31.2%	42.1%	26.7%	10
35.9%	37.1%	27.1%	11
38.2%	32.2%	29.6%	12
47.8%	21.6%	30.6%	13
50.2%	19%	30.8%	14

Compiler

Compiled 16 to 9 computations (43.8% saved)

sample32.0ms (0.4%)

Algorithm

1×

intervals

Results

14.0ms	256×	body	128	valid
1.0ms	16×	body	128	invalid

Compiler

Compiled 31 to 20 computations (35.5% saved)

simplify163.0ms (2.2%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (5.0ms)

Iter	Nodes	Cost
0	41	13
1	41	13

prune9.0ms (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

0.0b

Counts

2 → 2

Compiler

Compiled 33 to 24 computations (27.3% saved)

localize20.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.1b	(+.f64 (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) (.f64 z z))
0.0b	(+.f64 (+.f64 (.f64 x y) (.f64 z z)) (*.f64 z z))
0.0b	(+.f64 (+.f64 (.f64 x y) (.f64 z z)) (*.f64 z z))
0.1b	(+.f64 (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) (.f64 z z))

rewrite35.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

16×	`add-log-exp_binary64_10766`
9×	`sum-log_binary64_10818`
2×	`associate-+l+_binary64_10660` `+-commutative_binary64_10657` `add-sqr-sqrt_binary64_10749` `*-un-lft-identity_binary64_10727` `add-cube-cbrt_binary64_10762` `add-cbrt-cube_binary64_10763` `pow1_binary64_10788` `flip3-+_binary64_10730` `flip-+_binary64_10701` `add-exp-log_binary64_10765`

Counts

2 → 27

Calls

4 calls:

18.0ms	(+.f64 (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) (.f64 z z))
12.0ms	(+.f64 (+.f64 (.f64 x y) (.f64 z z)) (*.f64 z z))
0.0ms	(+.f64 (+.f64 (.f64 x y) (.f64 z z)) (*.f64 z z))
0.0ms	(+.f64 (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) (.f64 z z))

series555.0ms (7.4%)

Counts

2 → 36

Calls

2 calls:

278.0ms	(+.f64 (+.f64 (.f64 x y) (.f64 z z)) (*.f64 z z))
277.0ms	(+.f64 (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) (.f64 z z))

Compiler

Compiled 502 to 474 computations (5.6% saved)

simplify162.0ms (2.2%)

Algorithm

1×	egg-herbie

Counts

63 → 63

Iterations

Useful iterations: 0 (138.0ms)

Iter	Nodes	Cost
0	4860	817
1	4860	817

prune96.0ms (1.3%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	59	4	63
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	59	6	65

Error

0.0b

Counts

65 → 6

Compiler

Compiled 924 to 223 computations (75.9% saved)

localize13.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.2b	(.f64 z (.f64 z 3))
0.2b	(.f64 z (.f64 z 3))

rewrite12.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

6×	`add-cbrt-cube_binary64_10763` `pow1_binary64_10788` `add-exp-log_binary64_10765`
3×	`associate-l_binary64_10668` `pow-prod-down_binary64_10798` `cbrt-unprod_binary64_10760` `prod-exp_binary64_10776`
2×	`add-sqr-sqrt_binary64_10749` `*-un-lft-identity_binary64_10727` `add-cube-cbrt_binary64_10762`
1×	`-commutative_binary64_10658` `associate-r*_binary64_10667` `add-log-exp_binary64_10766`

Counts

1 → 18

Calls

2 calls:

9.0ms	(.f64 z (.f64 z 3))
0.0ms	(.f64 z (.f64 z 3))

series45.0ms (0.6%)

Counts

1 → 3

Calls

1 calls:

45.0ms

(*.f64 z (*.f64 z 3))

Compiler

Compiled 54 to 54 computations (0% saved)

simplify115.0ms (1.5%)

Algorithm

1×	egg-herbie

Counts

21 → 21

Iterations

Useful iterations: 0 (101.0ms)

Iter	Nodes	Cost
0	4830	166
1	4830	166

prune52.0ms (0.7%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	20	1	21
Fresh	1	3	4
Picked	0	1	1
Done	0	1	1
Total	21	6	27

Error

0.0b

Counts

27 → 6

Compiler

Compiled 349 to 191 computations (45.3% saved)

localize18.0ms (0.2%)

Local error

Found 8 expressions with local error:

21.7b	(sqrt.f64 (.f64 z (.f64 z 3)))
0.4b	(.f64 (sqrt.f64 (.f64 z (.f64 z 3))) (sqrt.f64 (.f64 z (*.f64 z 3))))
0.2b	(.f64 z (.f64 z 3))
0.2b	(.f64 z (.f64 z 3))
0.2b	(.f64 z (.f64 z 3))
0.4b	(.f64 (sqrt.f64 (.f64 z (.f64 z 3))) (sqrt.f64 (.f64 z (*.f64 z 3))))
21.7b	(sqrt.f64 (.f64 z (.f64 z 3)))
21.7b	(sqrt.f64 (.f64 z (.f64 z 3)))

rewrite69.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Rules

148×	`pow1_binary64_10788`
80×	`pow-prod-down_binary64_10798`
66×	`sqrt-pow1_binary64_10745`
17×	`pow-prod-up_binary64_10797`
14×	`pow1/2_binary64_10807`
11×	`add-sqr-sqrt_binary64_10749` `add-cbrt-cube_binary64_10763` `pow-sqr_binary64_10700` `add-exp-log_binary64_10765`
9×	`*-un-lft-identity_binary64_10727` `add-cube-cbrt_binary64_10762`
7×	`associate-l_binary64_10668`
6×	`sqrt-prod_binary64_10743`
5×	`associate-r_binary64_10667`
4×	`swap-sqr_binary64_10694` `add-log-exp_binary64_10766` `cbrt-unprod_binary64_10760` `prod-exp_binary64_10776`
2×	`*-commutative_binary64_10658`
1×	`sqrt-unprod_binary64_10747` `pow2_binary64_10808` `pow-plus_binary64_10790` `unswap-sqr_binary64_10695` `rem-square-sqrt_binary64_10739`

Counts

4 → 108

Calls

8 calls:

25.0ms	(.f64 (sqrt.f64 (.f64 z (.f64 z 3))) (sqrt.f64 (.f64 z (*.f64 z 3))))
10.0ms	(.f64 z (.f64 z 3))
7.0ms	(sqrt.f64 (.f64 z (.f64 z 3)))
7.0ms	(sqrt.f64 (.f64 z (.f64 z 3)))
0.0ms	(.f64 z (.f64 z 3))

series248.0ms (3.3%)

Counts

4 → 12

Calls

4 calls:

88.0ms	(.f64 (sqrt.f64 (.f64 z (.f64 z 3))) (sqrt.f64 (.f64 z (*.f64 z 3))))
59.0ms	(sqrt.f64 (.f64 z (.f64 z 3)))
53.0ms	(sqrt.f64 (.f64 z (.f64 z 3)))
48.0ms	(.f64 z (.f64 z 3))

Compiler

Compiled 362 to 326 computations (9.9% saved)

simplify104.0ms (1.4%)

Algorithm

1×	egg-herbie

Counts

120 → 120

Iterations

Useful iterations: 0 (73.0ms)

Iter	Nodes	Cost
0	4926	737
1	4926	737

prune237.0ms (3.2%)

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	117	3	120
Fresh	2	1	3
Picked	0	1	1
Done	0	2	2
Total	119	7	126

Error

Counts

126 → 7

Compiler

Compiled 1914 to 1189 computations (37.9% saved)

localize25.0ms (0.3%)

Local error

Found 8 expressions with local error:

21.7b	(sqrt.f64 (.f64 z (.f64 z 3)))
0.4b	(*.f64 z (sqrt.f64 3))
0.4b	(.f64 (fabs.f64 (.f64 z (sqrt.f64 3))) (sqrt.f64 (.f64 z (.f64 z 3))))
0.2b	(.f64 z (.f64 z 3))
0.2b	(.f64 z (.f64 z 3))
0.4b	(.f64 (fabs.f64 (.f64 z (sqrt.f64 3))) (sqrt.f64 (.f64 z (.f64 z 3))))
0.4b	(*.f64 z (sqrt.f64 3))
21.7b	(sqrt.f64 (.f64 z (.f64 z 3)))

rewrite53.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

19×	`pow1_binary64_10788`
16×	`add-sqr-sqrt_binary64_10749`
13×	`add-cbrt-cube_binary64_10763` `add-exp-log_binary64_10765`
11×	`associate-r_binary64_10667`
10×	`*-un-lft-identity_binary64_10727` `add-cube-cbrt_binary64_10762`
9×	`associate-l_binary64_10668`
8×	`pow-prod-down_binary64_10798`
6×	`sqrt-prod_binary64_10743`
5×	`cbrt-unprod_binary64_10760` `prod-exp_binary64_10776`
4×	`add-log-exp_binary64_10766`
3×	`*-commutative_binary64_10658` `sqrt-pow1_binary64_10745` `unswap-sqr_binary64_10695`
1×	`pow1/2_binary64_10807`

Counts

4 → 71

Calls

8 calls:

14.0ms	(.f64 (fabs.f64 (.f64 z (sqrt.f64 3))) (sqrt.f64 (.f64 z (.f64 z 3))))
10.0ms	(*.f64 z (sqrt.f64 3))
10.0ms	(.f64 z (.f64 z 3))
7.0ms	(sqrt.f64 (.f64 z (.f64 z 3)))
0.0ms	(.f64 z (.f64 z 3))

series251.0ms (3.4%)

Counts

4 → 12

Calls

4 calls:

95.0ms	(.f64 (fabs.f64 (.f64 z (sqrt.f64 3))) (sqrt.f64 (.f64 z (.f64 z 3))))
53.0ms	(*.f64 z (sqrt.f64 3))
52.0ms	(sqrt.f64 (.f64 z (.f64 z 3)))
51.0ms	(.f64 z (.f64 z 3))

Compiler

Compiled 368 to 338 computations (8.2% saved)

simplify128.0ms (1.7%)

Algorithm

1×	egg-herbie

Counts

83 → 83

Iterations

Useful iterations: 0 (102.0ms)

Iter	Nodes	Cost
0	5161	755

prune155.0ms (2.1%)

Pruning

7 alts after pruning (3 fresh and 4 done)

	Pruned	Kept	Total
New	83	0	83
Fresh	0	3	3
Picked	0	1	1
Done	0	3	3
Total	83	7	90

Error

Counts

90 → 7

Compiler

Compiled 1507 to 1002 computations (33.5% saved)

simplify19.0ms (0.2%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (4.0ms)

Iter	Nodes	Cost
0	180	580
1	180	580

regimes401.0ms (5.4%)

Accuracy

Total 0.1b remaining (95.3%)

Threshold costs 0.1b (95.3%)

Compiler

Compiled 2023 to 1560 computations (22.9% saved)

bsearch0.0ms (0%)

simplify3.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	14	19
1	14	19

end0.0ms (0%)

sample3.9s (52.2%)

Algorithm

1×

intervals

Results

466.0ms	8000×	body	128	valid
25.0ms	441×	body	128	invalid

Compiler

Compiled 1177 to 893 computations (24.1% saved)

Pareto

0.7298312987237596

Details

analyze548.0ms (7.3%)

sample32.0ms (0.4%)

simplify163.0ms (2.2%)

prune9.0ms (0.1%)

localize20.0ms (0.3%)

rewrite35.0ms (0.5%)

series555.0ms (7.4%)

simplify162.0ms (2.2%)

prune96.0ms (1.3%)

localize13.0ms (0.2%)

rewrite12.0ms (0.2%)

series45.0ms (0.6%)

simplify115.0ms (1.5%)

prune52.0ms (0.7%)

localize18.0ms (0.2%)

rewrite69.0ms (0.9%)

series248.0ms (3.3%)

simplify104.0ms (1.4%)

prune237.0ms (3.2%)

localize25.0ms (0.3%)

rewrite53.0ms (0.7%)

series251.0ms (3.4%)

simplify128.0ms (1.7%)

prune155.0ms (2.1%)

simplify19.0ms (0.2%)

regimes401.0ms (5.4%)

bsearch0.0ms (0%)

simplify3.0ms (0%)

end0.0ms (0%)

sample3.9s (52.2%)

Profiling