Details

analyze56.0ms

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
50%	50%	0.1%	6
62.4%	31.2%	6.3%	7
71.8%	21.9%	6.3%	8
76.5%	14%	9.5%	9
80.4%	10.1%	9.5%	10
82.3%	6.6%	11%	11
84.1%	4.9%	11%	12
85%	3.2%	11.8%	13
85.8%	2.4%	11.8%	14

sample14.0ms

Algorithm

intervals

Results

7.0ms	256×	body	80	valid
0.0ms	1×	body	80	invalid

simplify6.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (4.0ms)

Iter	Nodes	Cost
0	47	7
1	47	7

prune5.0ms

Filtered

1 candidates to 1 candidates (0.0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	0	1	1
Fresh	1	0	1
Picked	0	0	0
Done	0	0	0
Total	1	1	2

Merged error: 0.2b

Counts

2 → 1

localize5.0ms

Local error

Found 3 expressions with local error:

0.0b	(-.f64 x 4/29)
0.0b	(*.f64 (-.f64 x 4/29) 3)
0.2b	(.f64 (.f64 (-.f64 x 4/29) 3) y)

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

12×	`add-sqr-sqrt_binary64`
10×	`*-un-lft-identity_binary64` `pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
6×	`associate-r_binary64` `add-cube-cbrt_binary64` `associate-l_binary64` `associate-*l/_binary64`
5×	`add-log-exp_binary64`
4×	`pow-prod-down_binary64` `cbrt-unprod_binary64` `prod-exp_binary64`
3×	`flip3--_binary64` `flip--_binary64`
2×	`difference-of-squares_binary64` `distribute-lft-out--_binary64` `*-commutative_binary64`
1×	`sub-neg_binary64` `diff-log_binary64` `unswap-sqr_binary64`

Counts

3 → 55

Calls

3 calls:

4.0ms	(-.f64 x 4/29)
7.0ms	(*.f64 (-.f64 x 4/29) 3)
8.0ms	(.f64 (.f64 (-.f64 x 4/29) 3) y)

series16.0ms

Counts

3 → 9

Calls

3 calls:

2.0ms	(-.f64 x 4/29)
4.0ms	(*.f64 (-.f64 x 4/29) 3)
9.0ms	(.f64 (.f64 (-.f64 x 4/29) 3) y)

simplify60.0ms

Algorithm

egg-herbie

Counts

64 → 64

Iterations

Useful iterations: 0 (52.0ms)

Iter	Nodes	Cost
0	4926	419
1	4926	419

prune53.0ms

Filtered

40 candidates to 64 candidates (-60.0%)

Pruning

11 alts after pruning (11 fresh and 0 done)

	Pruned	Kept	Total
New	53	11	64
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	54	11	65

Merged error: 0.0b

Counts

65 → 11

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(-.f64 x 4/29)
0.4b	(.f64 (-.f64 x 4/29) (.f64 3 y))

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

7×	`*-un-lft-identity_binary64` `pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `add-sqr-sqrt_binary64`
5×	`associate-l_binary64`
4×	`add-log-exp_binary64`
3×	`pow-prod-down_binary64` `cbrt-unprod_binary64` `add-cube-cbrt_binary64` `prod-exp_binary64`
2×	`flip3--_binary64` `difference-of-squares_binary64` `distribute-lft-out--_binary64` `flip--_binary64` `associate-*l/_binary64`
1×	`sub-neg_binary64` `diff-log_binary64` `associate-r_binary64` `*-commutative_binary64`

Counts

2 → 35

Calls

2 calls:

4.0ms	(-.f64 x 4/29)
8.0ms	(.f64 (-.f64 x 4/29) (.f64 3 y))

series8.0ms

Counts

2 → 6

Calls

2 calls:

2.0ms	(-.f64 x 4/29)
6.0ms	(.f64 (-.f64 x 4/29) (.f64 3 y))

simplify24.0ms

Algorithm

egg-herbie

Counts

41 → 41

Iterations

Useful iterations: 0 (17.0ms)

Iter	Nodes	Cost
0	5193	278

prune38.0ms

Filtered

25 candidates to 41 candidates (-64.0%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	40	1	41
Fresh	2	8	10
Picked	0	1	1
Done	0	0	0
Total	42	10	52

Merged error: 0b

Counts

52 → 10

localize9.0ms

Local error

Found 4 expressions with local error:

0.2b	(cbrt.f64 (*.f64 (-.f64 x 4/29) 3))
0.2b	(cbrt.f64 (*.f64 (-.f64 x 4/29) 3))
0.2b	(cbrt.f64 (*.f64 (-.f64 x 4/29) 3))
0.2b	(.f64 (cbrt.f64 (.f64 (-.f64 x 4/29) 3)) (cbrt.f64 (*.f64 (-.f64 x 4/29) 3)))

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

20×	`associate-*l/_binary64`
18×	`cbrt-div_binary64`
11×	`pow1_binary64`
10×	`add-sqr-sqrt_binary64`
9×	`flip3--_binary64` `pow1/3_binary64` `flip--_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` `frac-times_binary64`
2×	`pow-prod-down_binary64` `pow-prod-up_binary64` `associate-*r/_binary64` `pow-sqr_binary64`
1×	`cbrt-unprod_binary64` `pow-plus_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `pow2_binary64` `*-commutative_binary64`

Counts

4 → 72

Calls

4 calls:

6.0ms	(cbrt.f64 (*.f64 (-.f64 x 4/29) 3))
5.0ms	(cbrt.f64 (*.f64 (-.f64 x 4/29) 3))
5.0ms	(cbrt.f64 (*.f64 (-.f64 x 4/29) 3))
8.0ms	(.f64 (cbrt.f64 (.f64 (-.f64 x 4/29) 3)) (cbrt.f64 (*.f64 (-.f64 x 4/29) 3)))

series49.0ms

Counts

4 → 12

Calls

4 calls:

11.0ms	(cbrt.f64 (*.f64 (-.f64 x 4/29) 3))
13.0ms	(cbrt.f64 (*.f64 (-.f64 x 4/29) 3))
10.0ms	(cbrt.f64 (*.f64 (-.f64 x 4/29) 3))
15.0ms	(.f64 (cbrt.f64 (.f64 (-.f64 x 4/29) 3)) (cbrt.f64 (*.f64 (-.f64 x 4/29) 3)))

simplify70.0ms

Algorithm

egg-herbie

Counts

84 → 84

Iterations

Useful iterations: 0 (59.0ms)

Iter	Nodes	Cost
0	4919	950
1	4919	950

prune91.0ms

Filtered

67 candidates to 84 candidates (-25.4%)

Pruning

10 alts after pruning (8 fresh and 2 done)

	Pruned	Kept	Total
New	84	0	84
Fresh	0	8	8
Picked	0	1	1
Done	0	1	1
Total	84	10	94

Merged error: 0b

Counts

94 → 10

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b	(-.f64 x 4/29)
0.0b	(.f64 (-.f64 x 4/29) (.f64 (cbrt.f64 3) (cbrt.f64 3)))
0.2b	(.f64 (.f64 (.f64 (-.f64 x 4/29) (.f64 (cbrt.f64 3) (cbrt.f64 3))) (cbrt.f64 3)) y)
0.7b	(.f64 (.f64 (-.f64 x 4/29) (*.f64 (cbrt.f64 3) (cbrt.f64 3))) (cbrt.f64 3))

rewrite46.0ms

Algorithm

rewrite-expression-head

Rules

32×	`pow1_binary64` `add-exp-log_binary64`
20×	`add-cbrt-cube_binary64`
19×	`pow-prod-down_binary64` `cbrt-unprod_binary64` `prod-exp_binary64`
13×	`add-sqr-sqrt_binary64`
12×	`-un-lft-identity_binary64` `associate-l/_binary64`
10×	`associate-r_binary64`
8×	`add-cube-cbrt_binary64`
7×	`associate-l_binary64`
6×	`add-log-exp_binary64`
4×	`flip3--_binary64` `flip--_binary64`
3×	`cbrt-prod_binary64` `*-commutative_binary64`
2×	`difference-of-squares_binary64` `distribute-lft-out--_binary64`
1×	`sub-neg_binary64` `diff-log_binary64` `unswap-sqr_binary64`

Counts

4 → 88

Calls

4 calls:

4.0ms	(-.f64 x 4/29)
10.0ms	(.f64 (-.f64 x 4/29) (.f64 (cbrt.f64 3) (cbrt.f64 3)))
16.0ms	(.f64 (.f64 (.f64 (-.f64 x 4/29) (.f64 (cbrt.f64 3) (cbrt.f64 3))) (cbrt.f64 3)) y)
13.0ms	(.f64 (.f64 (-.f64 x 4/29) (*.f64 (cbrt.f64 3) (cbrt.f64 3))) (cbrt.f64 3))

series43.0ms

Counts

4 → 12

Calls

4 calls:

2.0ms	(-.f64 x 4/29)
13.0ms	(.f64 (-.f64 x 4/29) (.f64 (cbrt.f64 3) (cbrt.f64 3)))
14.0ms	(.f64 (.f64 (.f64 (-.f64 x 4/29) (.f64 (cbrt.f64 3) (cbrt.f64 3))) (cbrt.f64 3)) y)
14.0ms	(.f64 (.f64 (-.f64 x 4/29) (*.f64 (cbrt.f64 3) (cbrt.f64 3))) (cbrt.f64 3))

simplify47.0ms

Algorithm

egg-herbie

Counts

100 → 100

Iterations

Useful iterations: 0 (37.0ms)

Iter	Nodes	Cost
0	4911	740
1	4911	740

prune46.0ms

Filtered

54 candidates to 100 candidates (-85.2%)

Pruning

10 alts after pruning (7 fresh and 3 done)

	Pruned	Kept	Total
New	100	0	100
Fresh	0	7	7
Picked	0	1	1
Done	0	2	2
Total	100	10	110

Merged error: 0b

Counts

110 → 10

regimes77.0ms

Accuracy

0% (0.3b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 0.3b

bsearch0.0ms

simplify4.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	19	7
1	19	7

end0.0ms

sample357.0ms

Algorithm

intervals

Results

226.0ms	8000×	body	80	valid
2.0ms	77×	body	80	invalid

Details

analyze56.0ms

sample14.0ms

simplify6.0ms

prune5.0ms

localize5.0ms

rewrite20.0ms

series16.0ms

simplify60.0ms

prune53.0ms

localize6.0ms

rewrite13.0ms

series8.0ms

simplify24.0ms

prune38.0ms

localize9.0ms

rewrite27.0ms

series49.0ms

simplify70.0ms

prune91.0ms

localize8.0ms

rewrite46.0ms

series43.0ms

simplify47.0ms

prune46.0ms

regimes77.0ms

bsearch0.0ms

simplify4.0ms

end0.0ms

sample357.0ms

Profiling