Details

analyze68.0ms (1.3%)

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
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 (0.2%)

Algorithm

1×

intervals

Results

6.0ms	256×	body	128	valid
0.0ms	3×	body	128	invalid

Compiler

Compiled 15 to 15 computations (0% saved)

simplify98.0ms (1.9%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	35	10
1	35	10

prune2.0ms (0%)

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

0.5b

Counts

2 → 1

Compiler

Compiled 14 to 12 computations (14.3% saved)

localize5.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.5b	(.f64 (.f64 x 3) y)
0.2b	(.f64 (.f64 (*.f64 x 3) y) y)
0.2b	(.f64 (.f64 (*.f64 x 3) y) y)
0.5b	(.f64 (.f64 x 3) y)

rewrite16.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

16×	`pow1_binary64_19446` `add-exp-log_binary64_19423` `add-cbrt-cube_binary64_19421`
9×	`cbrt-unprod_binary64_19418` `pow-prod-down_binary64_19456` `prod-exp_binary64_19434`
6×	`associate-r_binary64_19325`
4×	`*-un-lft-identity_binary64_19385` `add-sqr-sqrt_binary64_19407` `add-cube-cbrt_binary64_19420`
2×	`associate-l_binary64_19326` `add-log-exp_binary64_19424` `*-commutative_binary64_19316`

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 (2.4%)

Counts

2 → 12

Calls

2 calls:

70.0ms	(.f64 (.f64 (*.f64 x 3) y) y)
56.0ms	(.f64 (.f64 x 3) y)

Compiler

Compiled 168 to 156 computations (7.1% saved)

simplify48.0ms (0.9%)

Algorithm

1×	egg-herbie

Counts

51 → 51

Iterations

Useful iterations: 0 (38.0ms)

Iter	Nodes	Cost
0	5058	502

prune51.0ms (1%)

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 585 to 362 computations (38.1% saved)

localize5.0ms (0.1%)

Local error

Found 4 expressions with local error:

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

rewrite16.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

16×	`pow1_binary64_19446` `add-exp-log_binary64_19423` `add-cbrt-cube_binary64_19421`
9×	`cbrt-unprod_binary64_19418` `pow-prod-down_binary64_19456` `prod-exp_binary64_19434`
4×	`-un-lft-identity_binary64_19385` `add-sqr-sqrt_binary64_19407` `associate-r_binary64_19325` `associate-l*_binary64_19326` `add-cube-cbrt_binary64_19420`
2×	`add-log-exp_binary64_19424` `*-commutative_binary64_19316`

Counts

2 → 39

Calls

4 calls:

7.0ms	(.f64 (.f64 x (*.f64 3 y)) y)
5.0ms	(.f64 x (.f64 3 y))
0.0ms	(.f64 (.f64 x (*.f64 3 y)) y)
0.0ms	(.f64 x (.f64 3 y))

series123.0ms (2.3%)

Counts

2 → 12

Calls

2 calls:

72.0ms	(.f64 (.f64 x (*.f64 3 y)) y)
51.0ms	(.f64 x (.f64 3 y))

Compiler

Compiled 168 to 156 computations (7.1% saved)

simplify48.0ms (0.9%)

Algorithm

1×	egg-herbie

Counts

51 → 51

Iterations

Useful iterations: 0 (38.0ms)

Iter	Nodes	Cost
0	4936	503
1	4936	503

prune43.0ms (0.8%)

Pruning

9 alts after pruning (7 fresh and 2 done)

	Pruned	Kept	Total
New	48	3	51
Fresh	3	4	7
Picked	0	1	1
Done	0	1	1
Total	51	9	60

Error

0.0b

Counts

60 → 9

Compiler

Compiled 592 to 392 computations (33.8% saved)

localize11.0ms (0.2%)

Local error

Found 8 expressions with local error:

0.2b	(.f64 x (.f64 3 y))
0.2b	(.f64 y (.f64 x (*.f64 3 y)))
0.2b	(.f64 y (.f64 x (*.f64 3 y)))
0.2b	(.f64 y (.f64 x (*.f64 3 y)))
0.4b	(.f64 (cbrt.f64 (.f64 y (.f64 x (.f64 3 y)))) (cbrt.f64 (.f64 y (.f64 x (*.f64 3 y)))))
21.4b	(cbrt.f64 (.f64 y (.f64 x (*.f64 3 y))))
21.4b	(cbrt.f64 (.f64 y (.f64 x (*.f64 3 y))))
21.4b	(cbrt.f64 (.f64 y (.f64 x (*.f64 3 y))))

rewrite30.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

11×	`pow1_binary64_19446`
10×	`add-sqr-sqrt_binary64_19407`
9×	`pow1/3_binary64_19467`
8×	`*-un-lft-identity_binary64_19385` `add-cube-cbrt_binary64_19420`
7×	`cbrt-prod_binary64_19416`
6×	`add-exp-log_binary64_19423`
4×	`add-cbrt-cube_binary64_19421` `associate-r_binary64_19325` `associate-l_binary64_19326` `add-log-exp_binary64_19424` `swap-sqr_binary64_19352`
2×	`pow-sqr_binary64_19358` `pow-prod-up_binary64_19455` `pow-prod-down_binary64_19456`
1×	`cbrt-unprod_binary64_19418` `pow-plus_binary64_19448` `pow2_binary64_19466` `prod-exp_binary64_19434` `*-commutative_binary64_19316` `unswap-sqr_binary64_19353`

Counts

4 → 58

Calls

8 calls:

8.0ms	(cbrt.f64 (.f64 y (.f64 x (*.f64 3 y))))
7.0ms	(.f64 (cbrt.f64 (.f64 y (.f64 x (.f64 3 y)))) (cbrt.f64 (.f64 y (.f64 x (*.f64 3 y)))))
5.0ms	(cbrt.f64 (.f64 y (.f64 x (*.f64 3 y))))
5.0ms	(cbrt.f64 (.f64 y (.f64 x (*.f64 3 y))))
0.0ms	(.f64 y (.f64 x (*.f64 3 y)))

series1.1s (20.7%)

Counts

4 → 24

Calls

4 calls:

336.0ms	(.f64 (cbrt.f64 (.f64 y (.f64 x (.f64 3 y)))) (cbrt.f64 (.f64 y (.f64 x (*.f64 3 y)))))
255.0ms	(cbrt.f64 (.f64 y (.f64 x (*.f64 3 y))))
255.0ms	(cbrt.f64 (.f64 y (.f64 x (*.f64 3 y))))
253.0ms	(cbrt.f64 (.f64 y (.f64 x (*.f64 3 y))))

Compiler

Compiled 1492 to 1240 computations (16.9% saved)

simplify106.0ms (2%)

Algorithm

1×	egg-herbie

Counts

82 → 82

Iterations

Useful iterations: 0 (89.0ms)

Iter	Nodes	Cost
0	5558	1144

prune129.0ms (2.4%)

Pruning

12 alts after pruning (9 fresh and 3 done)

	Pruned	Kept	Total
New	79	3	82
Fresh	0	6	6
Picked	0	1	1
Done	0	2	2
Total	79	12	91

Error

0.0b

Counts

91 → 12

Compiler

Compiled 2379 to 1643 computations (30.9% saved)

localize17.0ms (0.3%)

Local error

Found 8 expressions with local error:

0.2b	(.f64 x (.f64 3 y))
0.2b	(.f64 x (.f64 3 y))
0.2b	(.f64 y (.f64 x (*.f64 3 y)))
0.2b	(.f64 y (.f64 x (*.f64 3 y)))
0.7b	(cbrt.f64 y)
10.2b	(cbrt.f64 (.f64 x (.f64 y 3)))
21.4b	(cbrt.f64 (.f64 y (.f64 x (*.f64 3 y))))
21.4b	(cbrt.f64 (.f64 y (.f64 x (*.f64 3 y))))

rewrite19.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

6×	`cbrt-prod_binary64_19416`
5×	`*-un-lft-identity_binary64_19385` `add-sqr-sqrt_binary64_19407` `add-cube-cbrt_binary64_19420`
4×	`pow1_binary64_19446` `add-exp-log_binary64_19423` `add-cbrt-cube_binary64_19421` `pow1/3_binary64_19467` `add-log-exp_binary64_19424`

Counts

4 → 38

Calls

8 calls:

5.0ms	(cbrt.f64 (.f64 y (.f64 x (*.f64 3 y))))
5.0ms	(cbrt.f64 (.f64 y (.f64 x (*.f64 3 y))))
4.0ms	(cbrt.f64 (.f64 x (.f64 y 3)))
1.0ms	(cbrt.f64 y)
0.0ms	(.f64 y (.f64 x (*.f64 3 y)))

series802.0ms (15.1%)

Counts

4 → 21

Calls

4 calls:

259.0ms	(cbrt.f64 (.f64 y (.f64 x (*.f64 3 y))))
249.0ms	(cbrt.f64 (.f64 y (.f64 x (*.f64 3 y))))
223.0ms	(cbrt.f64 (.f64 x (.f64 y 3)))
71.0ms	(cbrt.f64 y)

Compiler

Compiled 1378 to 1108 computations (19.6% saved)

simplify59.0ms (1.1%)

Algorithm

1×	egg-herbie

Counts

59 → 59

Iterations

Useful iterations: 0 (47.0ms)

Iter	Nodes	Cost
0	5021	672

prune82.0ms (1.6%)

Pruning

13 alts after pruning (9 fresh and 4 done)

	Pruned	Kept	Total
New	57	2	59
Fresh	1	7	8
Picked	0	1	1
Done	0	3	3
Total	58	13	71

Error

0.0b

Counts

71 → 13

Compiler

Compiled 1784 to 1153 computations (35.4% saved)

simplify10.0ms (0.2%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	118	691
1	118	691

regimes155.0ms (2.9%)

Accuracy

Total 0.2b remaining (92.7%)

Threshold costs 0.2b (92.7%)

Compiler

Compiled 1490 to 1167 computations (21.7% saved)

bsearch0.0ms (0%)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	10
1	10	10

end0.0ms (0%)

sample2.1s (40%)

Algorithm

1×

intervals

Results

195.0ms	8000×	body	128	valid
4.0ms	174×	body	128	invalid

Compiler

Compiled 1361 to 1056 computations (22.4% saved)

Pareto

0.7829817694751536

Details

analyze68.0ms (1.3%)

sample13.0ms (0.2%)

simplify98.0ms (1.9%)

prune2.0ms (0%)

localize5.0ms (0.1%)

rewrite16.0ms (0.3%)

series126.0ms (2.4%)

simplify48.0ms (0.9%)

prune51.0ms (1%)

localize5.0ms (0.1%)

rewrite16.0ms (0.3%)

series123.0ms (2.3%)

simplify48.0ms (0.9%)

prune43.0ms (0.8%)

localize11.0ms (0.2%)

rewrite30.0ms (0.6%)

series1.1s (20.7%)

simplify106.0ms (2%)

prune129.0ms (2.4%)

localize17.0ms (0.3%)

rewrite19.0ms (0.4%)

series802.0ms (15.1%)

simplify59.0ms (1.1%)

prune82.0ms (1.6%)

simplify10.0ms (0.2%)

regimes155.0ms (2.9%)

bsearch0.0ms (0%)

simplify2.0ms (0%)

end0.0ms (0%)

sample2.1s (40%)

Profiling