Details

analyze118.0ms (3.5%)

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%	62.4%	12.6%	6
31.2%	50%	18.8%	7
40.6%	37.5%	22%	8
45.3%	26.5%	28.2%	9
46.8%	19.5%	33.7%	10
48.8%	14%	37.2%	11
51.7%	10.1%	38.1%	12
52.8%	7.1%	40.1%	13
53.3%	5.1%	41.6%	14

Compiler

Compiled 20 to 12 computations (40% saved)

sample23.0ms (0.7%)

Algorithm

1×

intervals

Results

14.0ms	256×	body	128	valid
1.0ms	12×	body	128	invalid

Compiler

Compiled 39 to 25 computations (35.9% saved)

simplify239.0ms (7.1%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (144.0ms)

Iter	Nodes	Cost
0	4956	20
1	4956	20

prune5.0ms (0.2%)

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

9.3b

Counts

2 → 2

Compiler

Compiled 41 to 29 computations (29.3% saved)

localize7.0ms (0.2%)

Local error

Found 6 expressions with local error:

9.8b	(.f64 x.re (.f64 (*.f64 x.im x.im) -3))
0.2b	(.f64 (.f64 x.im x.im) -3)
0.0b	(+.f64 (pow.f64 x.re 3) (.f64 x.re (.f64 (*.f64 x.im x.im) -3)))
0.0b	(+.f64 (pow.f64 x.re 3) (.f64 x.re (.f64 (*.f64 x.im x.im) -3)))
0.2b	(.f64 (.f64 x.im x.im) -3)
9.8b	(.f64 x.re (.f64 (*.f64 x.im x.im) -3))

rewrite32.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Rules

17×	`pow1_binary64_4572` `add-cbrt-cube_binary64_4547` `add-exp-log_binary64_4549`
9×	`prod-exp_binary64_4560` `cbrt-unprod_binary64_4544` `pow-prod-down_binary64_4582`
6×	`add-sqr-sqrt_binary64_4533`
5×	`add-log-exp_binary64_4550` `*-un-lft-identity_binary64_4511` `add-cube-cbrt_binary64_4546`
4×	`associate-l_binary64_4452` `associate-r_binary64_4451`
2×	`*-commutative_binary64_4442`
1×	`flip-+_binary64_4485` `distribute-lft-out_binary64_4462` `flip3-+_binary64_4514` `unswap-sqr_binary64_4479` `+-commutative_binary64_4441` `sum-log_binary64_4602` `cube-mult_binary64_4541`

Counts

3 → 52

Calls

6 calls:

14.0ms	(+.f64 (pow.f64 x.re 3) (.f64 x.re (.f64 (*.f64 x.im x.im) -3)))
8.0ms	(.f64 x.re (.f64 (*.f64 x.im x.im) -3))
6.0ms	(.f64 (.f64 x.im x.im) -3)
0.0ms	(+.f64 (pow.f64 x.re 3) (.f64 x.re (.f64 (*.f64 x.im x.im) -3)))
0.0ms	(.f64 (.f64 x.im x.im) -3)

series259.0ms (7.6%)

Counts

3 → 21

Calls

3 calls:

157.0ms	(+.f64 (pow.f64 x.re 3) (.f64 x.re (.f64 (*.f64 x.im x.im) -3)))
77.0ms	(.f64 x.re (.f64 (*.f64 x.im x.im) -3))
24.0ms	(.f64 (.f64 x.im x.im) -3)

Compiler

Compiled 360 to 333 computations (7.5% saved)

simplify76.0ms (2.2%)

Algorithm

1×	egg-herbie

Counts

73 → 73

Iterations

Useful iterations: 0 (58.0ms)

Iter	Nodes	Cost
0	4951	1038
1	4951	1038

prune87.0ms (2.6%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	67	6	73
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	68	7	75

Error

9.1b

Counts

75 → 7

Compiler

Compiled 1093 to 815 computations (25.4% saved)

localize8.0ms (0.2%)

Local error

Found 6 expressions with local error:

9.7b	(*.f64 x.re (pow.f64 x.im 2))
0.2b	(.f64 (.f64 x.re (pow.f64 x.im 2)) -3)
0.0b	(+.f64 (pow.f64 x.re 3) (.f64 (.f64 x.re (pow.f64 x.im 2)) -3))
0.0b	(+.f64 (pow.f64 x.re 3) (.f64 (.f64 x.re (pow.f64 x.im 2)) -3))
0.2b	(.f64 (.f64 x.re (pow.f64 x.im 2)) -3)
9.7b	(*.f64 x.re (pow.f64 x.im 2))

rewrite26.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Rules

18×	`add-exp-log_binary64_4549`
13×	`add-sqr-sqrt_binary64_4533`
11×	`associate-r_binary64_4451`
10×	`add-cbrt-cube_binary64_4547` `prod-exp_binary64_4560`
7×	`*-un-lft-identity_binary64_4511` `add-cube-cbrt_binary64_4546`
5×	`pow1_binary64_4572` `add-log-exp_binary64_4550`
4×	`unswap-sqr_binary64_4479` `associate-l_binary64_4452` `unpow-prod-down_binary64_4590` `cbrt-unprod_binary64_4544`
2×	`unpow2_binary64_4576` `pow-exp_binary64_4579` `sqr-pow_binary64_4483` `pow-to-exp_binary64_4580` `*-commutative_binary64_4442`
1×	`flip-+_binary64_4485` `flip3-+_binary64_4514` `+-commutative_binary64_4441` `sum-log_binary64_4602` `pow-prod-down_binary64_4582`

Counts

3 → 57

Calls

6 calls:

9.0ms	(+.f64 (pow.f64 x.re 3) (.f64 (.f64 x.re (pow.f64 x.im 2)) -3))
6.0ms	(*.f64 x.re (pow.f64 x.im 2))
6.0ms	(.f64 (.f64 x.re (pow.f64 x.im 2)) -3)
0.0ms	(+.f64 (pow.f64 x.re 3) (.f64 (.f64 x.re (pow.f64 x.im 2)) -3))
0.0ms	(.f64 (.f64 x.re (pow.f64 x.im 2)) -3)

series293.0ms (8.6%)

Counts

3 → 24

Calls

3 calls:

159.0ms	(+.f64 (pow.f64 x.re 3) (.f64 (.f64 x.re (pow.f64 x.im 2)) -3))
73.0ms	(.f64 (.f64 x.re (pow.f64 x.im 2)) -3)
60.0ms	(*.f64 x.re (pow.f64 x.im 2))

Compiler

Compiled 426 to 393 computations (7.7% saved)

simplify97.0ms (2.9%)

Algorithm

1×	egg-herbie

Counts

81 → 81

Iterations

Useful iterations: 0 (77.0ms)

Iter	Nodes	Cost
0	4924	1144
1	4924	1144

prune88.0ms (2.6%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	77	4	81
Fresh	2	4	6
Picked	1	0	1
Done	0	0	0
Total	80	8	88

Error

0.1b

Counts

88 → 8

Compiler

Compiled 1234 to 913 computations (26% saved)

localize7.0ms (0.2%)

Local error

Found 6 expressions with local error:

0.2b	(.f64 (.f64 (*.f64 x.re x.im) x.im) -3)
0.2b	(.f64 (.f64 x.re x.im) x.im)
0.0b	(+.f64 (pow.f64 x.re 3) (.f64 (.f64 (*.f64 x.re x.im) x.im) -3))
0.0b	(+.f64 (pow.f64 x.re 3) (.f64 (.f64 (*.f64 x.re x.im) x.im) -3))
0.2b	(.f64 (.f64 x.re x.im) x.im)
0.2b	(.f64 (.f64 (*.f64 x.re x.im) x.im) -3)

rewrite27.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Rules

17×	`pow1_binary64_4572` `add-cbrt-cube_binary64_4547` `add-exp-log_binary64_4549`
9×	`prod-exp_binary64_4560` `cbrt-unprod_binary64_4544` `pow-prod-down_binary64_4582`
6×	`associate-r_binary64_4451`
5×	`add-log-exp_binary64_4550` `*-un-lft-identity_binary64_4511` `add-sqr-sqrt_binary64_4533` `add-cube-cbrt_binary64_4546`
2×	`associate-l_binary64_4452` `*-commutative_binary64_4442`
1×	`flip-+_binary64_4485` `flip3-+_binary64_4514` `+-commutative_binary64_4441` `sum-log_binary64_4602`

Counts

3 → 50

Calls

6 calls:

10.0ms	(+.f64 (pow.f64 x.re 3) (.f64 (.f64 (*.f64 x.re x.im) x.im) -3))
8.0ms	(.f64 (.f64 (*.f64 x.re x.im) x.im) -3)
5.0ms	(.f64 (.f64 x.re x.im) x.im)
0.0ms	(+.f64 (pow.f64 x.re 3) (.f64 (.f64 (*.f64 x.re x.im) x.im) -3))
0.0ms	(.f64 (.f64 x.re x.im) x.im)

series291.0ms (8.6%)

Counts

3 → 24

Calls

3 calls:

154.0ms	(+.f64 (pow.f64 x.re 3) (.f64 (.f64 (*.f64 x.re x.im) x.im) -3))
78.0ms	(.f64 (.f64 (*.f64 x.re x.im) x.im) -3)
58.0ms	(.f64 (.f64 x.re x.im) x.im)

Compiler

Compiled 426 to 393 computations (7.7% saved)

simplify80.0ms (2.3%)

Algorithm

1×	egg-herbie

Counts

74 → 74

Iterations

Useful iterations: 0 (63.0ms)

Iter	Nodes	Cost
0	5024	1063

prune77.0ms (2.3%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	72	2	74
Fresh	2	5	7
Picked	0	1	1
Done	0	0	0
Total	74	8	82

Error

0.0b

Counts

82 → 8

Compiler

Compiled 1106 to 815 computations (26.3% saved)

localize7.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.2b	(.f64 (.f64 x.re x.im) (*.f64 x.im -3))
0.0b	(+.f64 (pow.f64 x.re 3) (.f64 (.f64 x.re x.im) (*.f64 x.im -3)))
0.0b	(+.f64 (pow.f64 x.re 3) (.f64 (.f64 x.re x.im) (*.f64 x.im -3)))
0.2b	(.f64 (.f64 x.re x.im) (*.f64 x.im -3))

rewrite18.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

14×	`pow1_binary64_4572` `add-cbrt-cube_binary64_4547` `add-exp-log_binary64_4549`
8×	`prod-exp_binary64_4560` `cbrt-unprod_binary64_4544` `pow-prod-down_binary64_4582`
4×	`add-log-exp_binary64_4550`
2×	`*-un-lft-identity_binary64_4511` `add-sqr-sqrt_binary64_4533` `add-cube-cbrt_binary64_4546`
1×	`flip-+_binary64_4485` `flip3-+_binary64_4514` `+-commutative_binary64_4441` `associate-l_binary64_4452` `associate-r_binary64_4451` `sum-log_binary64_4602` `*-commutative_binary64_4442`

Counts

2 → 33

Calls

4 calls:

9.0ms	(+.f64 (pow.f64 x.re 3) (.f64 (.f64 x.re x.im) (*.f64 x.im -3)))
6.0ms	(.f64 (.f64 x.re x.im) (*.f64 x.im -3))
0.0ms	(+.f64 (pow.f64 x.re 3) (.f64 (.f64 x.re x.im) (*.f64 x.im -3)))
0.0ms	(.f64 (.f64 x.re x.im) (*.f64 x.im -3))

series235.0ms (6.9%)

Counts

2 → 18

Calls

2 calls:

162.0ms	(+.f64 (pow.f64 x.re 3) (.f64 (.f64 x.re x.im) (*.f64 x.im -3)))
73.0ms	(.f64 (.f64 x.re x.im) (*.f64 x.im -3))

Compiler

Compiled 294 to 273 computations (7.1% saved)

simplify80.0ms (2.4%)

Algorithm

1×	egg-herbie

Counts

51 → 51

Iterations

Useful iterations: 0 (64.0ms)

Iter	Nodes	Cost
0	5102	827

prune40.0ms (1.2%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	51	0	51
Fresh	0	6	6
Picked	0	1	1
Done	0	1	1
Total	51	8	59

Error

0.0b

Counts

59 → 8

Compiler

Compiled 687 to 509 computations (25.9% saved)

simplify11.0ms (0.3%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	207	519
1	207	519

regimes81.0ms (2.4%)

Compiler: Compiled 592 to 520 computations (12.2% saved)

bsearch0.0ms (0%)

regimes27.0ms (0.8%)

Compiler: Compiled 90 to 86 computations (4.4% saved)

bsearch0.0ms (0%)

regimes23.0ms (0.7%)

Compiler: Compiled 68 to 68 computations (0% saved)

bsearch0.0ms (0%)

regimes15.0ms (0.4%)

Accuracy

Total 0.1b remaining (88.7%)

Threshold costs 0.1b (88.7%)

Compiler

Compiled 10 to 26 computations (-160% saved)

bsearch3.0ms (0.1%)

Compiler: Compiled 43 to 34 computations (20.9% saved)

simplify4.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	86	80
1	86	80

end0.0ms (0%)

sample1.0s (29.7%)

Algorithm

1×

intervals

Results

360.0ms	8000×	body	128	valid
18.0ms	421×	body	128	invalid

Compiler

Compiled 374 to 315 computations (15.8% saved)

Pareto

0.7234641408244885

Details

analyze118.0ms (3.5%)

sample23.0ms (0.7%)

simplify239.0ms (7.1%)

prune5.0ms (0.2%)

localize7.0ms (0.2%)

rewrite32.0ms (0.9%)

series259.0ms (7.6%)

simplify76.0ms (2.2%)

prune87.0ms (2.6%)

localize8.0ms (0.2%)

rewrite26.0ms (0.8%)

series293.0ms (8.6%)

simplify97.0ms (2.9%)

prune88.0ms (2.6%)

localize7.0ms (0.2%)

rewrite27.0ms (0.8%)

series291.0ms (8.6%)

simplify80.0ms (2.3%)

prune77.0ms (2.3%)

localize7.0ms (0.2%)

rewrite18.0ms (0.5%)

series235.0ms (6.9%)

simplify80.0ms (2.4%)

prune40.0ms (1.2%)

simplify11.0ms (0.3%)

regimes81.0ms (2.4%)

bsearch0.0ms (0%)

regimes27.0ms (0.8%)

bsearch0.0ms (0%)

regimes23.0ms (0.7%)

bsearch0.0ms (0%)

regimes15.0ms (0.4%)

bsearch3.0ms (0.1%)

simplify4.0ms (0.1%)

end0.0ms (0%)

sample1.0s (29.7%)

Profiling