Details

analyze130.0ms

Algorithm

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%	74.9%	0.1%	6
31.2%	50%	18.8%	7
34.3%	43.7%	22%	8
45.3%	26.5%	28.2%	9
46.8%	23.4%	29.8%	10
48.8%	14%	37.2%	11
49.8%	12.1%	38.1%	12
52.8%	7.1%	40.1%	13
53.3%	6.1%	40.6%	14

sample18.0ms

Algorithm

intervals

Results

11.0ms	256×	body	80	valid
1.0ms	18×	body	80	invalid

simplify99.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (88.0ms)

Iter	Nodes	Cost
0	4976	20
1	4976	20

prune4.0ms

Filtered

1 candidates to 1 candidates (0.0%)

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

Merged error: 0.1b

Counts

2 → 2

localize7.0ms

Local error

Found 2 expressions with local error:

0.2b	(.f64 x.re (.f64 (*.f64 x.re x.im) 3))
0.3b	(.f64 (.f64 x.re x.im) 3)

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

16×	`pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
9×	`pow-prod-down_binary64` `cbrt-unprod_binary64` `prod-exp_binary64`
4×	`-un-lft-identity_binary64` `associate-r_binary64` `add-cube-cbrt_binary64` `associate-l*_binary64` `add-sqr-sqrt_binary64`
2×	`add-log-exp_binary64` `*-commutative_binary64`

Counts

2 → 39

Calls

2 calls:

7.0ms	(.f64 x.re (.f64 (*.f64 x.re x.im) 3))
5.0ms	(.f64 (.f64 x.re x.im) 3)

series35.0ms

Counts

2 → 6

Calls

2 calls:

18.0ms	(.f64 x.re (.f64 (*.f64 x.re x.im) 3))
17.0ms	(.f64 (.f64 x.re x.im) 3)

simplify83.0ms

Algorithm

egg-herbie

Counts

45 → 45

Iterations

Useful iterations: 0 (69.0ms)

Iter	Nodes	Cost
0	5030	542

prune35.0ms

Filtered

25 candidates to 45 candidates (-80.0%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	39	6	45
Fresh	1	0	1
Picked	0	1	1
Done	0	0	0
Total	40	7	47

Merged error: 0.0b

Counts

47 → 7

localize7.0ms

Local error

Found 2 expressions with local error:

0.2b	(.f64 x.re (.f64 x.re (*.f64 x.im 3)))
0.2b	(.f64 x.re (.f64 x.im 3))

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

16×	`pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
9×	`pow-prod-down_binary64` `cbrt-unprod_binary64` `prod-exp_binary64`
6×	`associate-l_binary64`
4×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
2×	`add-log-exp_binary64` `associate-r_binary64` `*-commutative_binary64`

Counts

2 → 39

Calls

2 calls:

7.0ms	(.f64 x.re (.f64 x.re (*.f64 x.im 3)))
5.0ms	(.f64 x.re (.f64 x.im 3))

series36.0ms

Counts

2 → 6

Calls

2 calls:

19.0ms	(.f64 x.re (.f64 x.re (*.f64 x.im 3)))
17.0ms	(.f64 x.re (.f64 x.im 3))

simplify75.0ms

Algorithm

egg-herbie

Counts

45 → 45

Iterations

Useful iterations: 0 (59.0ms)

Iter	Nodes	Cost
0	5199	537

prune26.0ms

Filtered

23 candidates to 45 candidates (-95.7%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	44	1	45
Fresh	0	5	5
Picked	0	1	1
Done	0	1	1
Total	44	8	52

Merged error: 0.0b

Counts

52 → 8

localize11.0ms

Local error

Found 4 expressions with local error:

0.5b	(*.f64 (cbrt.f64 x.re) (cbrt.f64 x.re))
0.6b	(cbrt.f64 x.re)
0.6b	(cbrt.f64 x.re)
0.6b	(cbrt.f64 x.re)

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod_binary64`
23×	`add-sqr-sqrt_binary64`
15×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
11×	`pow1_binary64`
9×	`pow1/3_binary64`
6×	`swap-sqr_binary64` `associate-r_binary64` `add-exp-log_binary64` `associate-l_binary64`
4×	`add-log-exp_binary64` `add-cbrt-cube_binary64` `unswap-sqr_binary64`
2×	`pow-prod-down_binary64` `pow-prod-up_binary64` `pow-sqr_binary64`
1×	`cbrt-unprod_binary64` `pow-plus_binary64` `prod-exp_binary64` `pow2_binary64` `*-commutative_binary64`

Counts

4 → 73

Calls

4 calls:

6.0ms	(*.f64 (cbrt.f64 x.re) (cbrt.f64 x.re))
1.0ms	(cbrt.f64 x.re)
1.0ms	(cbrt.f64 x.re)
1.0ms	(cbrt.f64 x.re)

series351.0ms

Counts

4 → 12

Calls

4 calls:

97.0ms	(*.f64 (cbrt.f64 x.re) (cbrt.f64 x.re))
85.0ms	(cbrt.f64 x.re)
82.0ms	(cbrt.f64 x.re)
87.0ms	(cbrt.f64 x.re)

simplify100.0ms

Algorithm

egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 0 (81.0ms)

Iter	Nodes	Cost
0	4938	690
1	4938	690

prune77.0ms

Filtered

65 candidates to 85 candidates (-30.8%)

Pruning

9 alts after pruning (7 fresh and 2 done)

	Pruned	Kept	Total
New	82	3	85
Fresh	1	4	5
Picked	0	1	1
Done	1	1	2
Total	84	9	93

Merged error: 0.0b

Counts

93 → 9

localize11.0ms

Local error

Found 4 expressions with local error:

0.5b	(.f64 (cbrt.f64 (.f64 (.f64 x.re x.im) 3)) (cbrt.f64 (.f64 (*.f64 x.re x.im) 3)))
12.1b	(cbrt.f64 (.f64 (.f64 x.re x.im) 3))
12.1b	(cbrt.f64 (.f64 (.f64 x.re x.im) 3))
12.1b	(cbrt.f64 (.f64 (.f64 x.re x.im) 3))

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

11×	`pow1_binary64`
10×	`add-sqr-sqrt_binary64`
9×	`pow1/3_binary64`
8×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
7×	`cbrt-prod_binary64`
6×	`add-exp-log_binary64`
4×	`add-log-exp_binary64` `swap-sqr_binary64` `associate-r_binary64` `add-cbrt-cube_binary64` `associate-l_binary64`
2×	`pow-prod-down_binary64` `pow-prod-up_binary64` `pow-sqr_binary64`
1×	`cbrt-unprod_binary64` `pow-plus_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `pow2_binary64` `*-commutative_binary64`

Counts

4 → 58

Calls

4 calls:

6.0ms	(.f64 (cbrt.f64 (.f64 (.f64 x.re x.im) 3)) (cbrt.f64 (.f64 (*.f64 x.re x.im) 3)))
4.0ms	(cbrt.f64 (.f64 (.f64 x.re x.im) 3))
4.0ms	(cbrt.f64 (.f64 (.f64 x.re x.im) 3))
4.0ms	(cbrt.f64 (.f64 (.f64 x.re x.im) 3))

series356.0ms

Counts

4 → 12

Calls

4 calls:

114.0ms	(.f64 (cbrt.f64 (.f64 (.f64 x.re x.im) 3)) (cbrt.f64 (.f64 (*.f64 x.re x.im) 3)))
79.0ms	(cbrt.f64 (.f64 (.f64 x.re x.im) 3))
79.0ms	(cbrt.f64 (.f64 (.f64 x.re x.im) 3))
84.0ms	(cbrt.f64 (.f64 (.f64 x.re x.im) 3))

simplify85.0ms

Algorithm

egg-herbie

Counts

70 → 70

Iterations

Useful iterations: 0 (65.0ms)

Iter	Nodes	Cost
0	4870	882
1	4870	882

prune59.0ms

Filtered

44 candidates to 70 candidates (-59.1%)

Pruning

9 alts after pruning (6 fresh and 3 done)

	Pruned	Kept	Total
New	70	0	70
Fresh	0	6	6
Picked	0	1	1
Done	0	2	2
Total	70	9	79

Merged error: 0.0b

Counts

79 → 9

regimes41.0ms

Accuracy

0% (0.1b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify3.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	24	20
1	24	20

end0.0ms

sample523.0ms

Algorithm

intervals

Results

366.0ms	8000×	body	80	valid
25.0ms	554×	body	80	invalid

Details

analyze130.0ms

sample18.0ms

simplify99.0ms

prune4.0ms

localize7.0ms

rewrite13.0ms

series35.0ms

simplify83.0ms

prune35.0ms

localize7.0ms

rewrite13.0ms

series36.0ms

simplify75.0ms

prune26.0ms

localize11.0ms

rewrite11.0ms

series351.0ms

simplify100.0ms

prune77.0ms

localize11.0ms

rewrite19.0ms

series356.0ms

simplify85.0ms

prune59.0ms

regimes41.0ms

bsearch0.0ms

simplify3.0ms

end0.0ms

sample523.0ms

Profiling