Details

analyze5.2s

Algorithm

Search

True	Other	False	Iter
0%	99.2%	0.8%	0
0%	99.2%	0.8%	1
0%	99.2%	0.8%	2
0%	99.2%	0.8%	3
0%	99.2%	0.8%	4
0%	99.2%	0.8%	5
0%	99.2%	0.8%	6
0%	99.2%	0.8%	7
0%	99.2%	0.8%	8
0%	99.2%	0.8%	9
0%	99.2%	0.8%	10
0%	99.2%	0.8%	11
0%	99.2%	0.8%	12
0%	99.2%	0.8%	13
0%	99.2%	0.8%	14

sample825.0ms

Algorithm

intervals

Results

532.0ms	2100×	body	80	invalid
64.0ms	256×	body	80	valid

simplify35.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (32.0ms)

Iter	Nodes	Cost
0	5427	95

prune20.0ms

Filtered

1 candidates to 1 candidates (0.0%)

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

Merged error: 27.6b

Counts

2 → 1

localize64.0ms

Local error

Found 4 expressions with local error:

8.9b	(.f64 (-.f64 (.f64 x j) (.f64 z k)) (-.f64 (.f64 y0 b) (*.f64 y1 i)))
9.5b	(.f64 (-.f64 (.f64 t y2) (.f64 y y3)) (-.f64 (.f64 y4 c) (*.f64 y5 a)))
9.6b	(.f64 (-.f64 (.f64 x y2) (.f64 z y3)) (-.f64 (.f64 y0 c) (*.f64 y1 a)))
9.7b	(.f64 (-.f64 (.f64 k y2) (.f64 j y3)) (-.f64 (.f64 y4 y1) (*.f64 y5 y0)))

rewrite47.0ms

Algorithm

rewrite-expression-head

Rules

24×	`flip3--_binary64` `flip--_binary64`
20×	`add-sqr-sqrt_binary64`
16×	`frac-times_binary64`
12×	`-un-lft-identity_binary64` `pow1_binary64` `associate-r_binary64` `add-cube-cbrt_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `associate-l*_binary64`
8×	`sub-neg_binary64` `associate-r/_binary64` `associate-l/_binary64`
4×	`pow-prod-down_binary64` `add-log-exp_binary64` `cbrt-unprod_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `*-commutative_binary64`

Counts

4 → 112

Calls

4 calls:

11.0ms	(.f64 (-.f64 (.f64 x j) (.f64 z k)) (-.f64 (.f64 y0 b) (*.f64 y1 i)))
11.0ms	(.f64 (-.f64 (.f64 t y2) (.f64 y y3)) (-.f64 (.f64 y4 c) (*.f64 y5 a)))
11.0ms	(.f64 (-.f64 (.f64 x y2) (.f64 z y3)) (-.f64 (.f64 y0 c) (*.f64 y1 a)))
11.0ms	(.f64 (-.f64 (.f64 k y2) (.f64 j y3)) (-.f64 (.f64 y4 y1) (*.f64 y5 y0)))

series230.0ms

Counts

4 → 12

Calls

4 calls:

56.0ms	(.f64 (-.f64 (.f64 x j) (.f64 z k)) (-.f64 (.f64 y0 b) (*.f64 y1 i)))
58.0ms	(.f64 (-.f64 (.f64 t y2) (.f64 y y3)) (-.f64 (.f64 y4 c) (*.f64 y5 a)))
57.0ms	(.f64 (-.f64 (.f64 x y2) (.f64 z y3)) (-.f64 (.f64 y0 c) (*.f64 y1 a)))
58.0ms	(.f64 (-.f64 (.f64 k y2) (.f64 j y3)) (-.f64 (.f64 y4 y1) (*.f64 y5 y0)))

simplify53.0ms

Algorithm

egg-herbie

Counts

124 → 124

Iterations

Useful iterations: 0 (34.0ms)

Iter	Nodes	Cost
0	5005	2796

prune371.0ms

Filtered

105 candidates to 124 candidates (-18.1%)

Pruning

24 alts after pruning (24 fresh and 0 done)

	Pruned	Kept	Total
New	100	24	124
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	101	24	125

Merged error: 18.0b

Counts

125 → 24

localize71.0ms

Local error

Found 4 expressions with local error:

9.6b	(.f64 (-.f64 (.f64 x y2) (.f64 z y3)) (-.f64 (.f64 y0 c) (*.f64 y1 a)))
9.7b	(.f64 (-.f64 (.f64 k y2) (.f64 j y3)) (-.f64 (.f64 y4 y1) (*.f64 y5 y0)))
9.7b	(.f64 (-.f64 (.f64 k y2) (.f64 j y3)) (-.f64 (.f64 y4 y1) (*.f64 y5 y0)))
9.7b	(.f64 (-.f64 (.f64 k y2) (.f64 j y3)) (-.f64 (.f64 y4 y1) (*.f64 y5 y0)))

rewrite48.0ms

Algorithm

rewrite-expression-head

Rules

24×	`flip3--_binary64` `flip--_binary64`
20×	`add-sqr-sqrt_binary64`
16×	`frac-times_binary64`
12×	`-un-lft-identity_binary64` `pow1_binary64` `associate-r_binary64` `add-cube-cbrt_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `associate-l*_binary64`
8×	`sub-neg_binary64` `associate-r/_binary64` `associate-l/_binary64`
4×	`pow-prod-down_binary64` `add-log-exp_binary64` `cbrt-unprod_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `*-commutative_binary64`

Counts

4 → 112

Calls

4 calls:

11.0ms	(.f64 (-.f64 (.f64 x y2) (.f64 z y3)) (-.f64 (.f64 y0 c) (*.f64 y1 a)))
11.0ms	(.f64 (-.f64 (.f64 k y2) (.f64 j y3)) (-.f64 (.f64 y4 y1) (*.f64 y5 y0)))
11.0ms	(.f64 (-.f64 (.f64 k y2) (.f64 j y3)) (-.f64 (.f64 y4 y1) (*.f64 y5 y0)))
11.0ms	(.f64 (-.f64 (.f64 k y2) (.f64 j y3)) (-.f64 (.f64 y4 y1) (*.f64 y5 y0)))

series230.0ms

Counts

4 → 12

Calls

4 calls:

56.0ms	(.f64 (-.f64 (.f64 x y2) (.f64 z y3)) (-.f64 (.f64 y0 c) (*.f64 y1 a)))
59.0ms	(.f64 (-.f64 (.f64 k y2) (.f64 j y3)) (-.f64 (.f64 y4 y1) (*.f64 y5 y0)))
56.0ms	(.f64 (-.f64 (.f64 k y2) (.f64 j y3)) (-.f64 (.f64 y4 y1) (*.f64 y5 y0)))
59.0ms	(.f64 (-.f64 (.f64 k y2) (.f64 j y3)) (-.f64 (.f64 y4 y1) (*.f64 y5 y0)))

simplify56.0ms

Algorithm

egg-herbie

Counts

124 → 124

Iterations

Useful iterations: 0 (37.0ms)

Iter	Nodes	Cost
0	5142	2772

prune287.0ms

Filtered

99 candidates to 124 candidates (-25.3%)

Pruning

24 alts after pruning (23 fresh and 1 done)

	Pruned	Kept	Total
New	124	0	124
Fresh	0	23	23
Picked	0	1	1
Done	0	0	0
Total	124	24	148

Merged error: 18.0b

Counts

148 → 24

localize77.0ms

Local error

Found 4 expressions with local error:

8.8b	(.f64 (-.f64 (.f64 x y) (.f64 z t)) (-.f64 (.f64 a b) (*.f64 c i)))
8.9b	(.f64 (-.f64 (.f64 x j) (.f64 z k)) (-.f64 (.f64 y0 b) (*.f64 y1 i)))
9.5b	(.f64 (-.f64 (.f64 t y2) (.f64 y y3)) (-.f64 (.f64 y4 c) (*.f64 y5 a)))
9.6b	(.f64 (-.f64 (.f64 x y2) (.f64 z y3)) (-.f64 (.f64 y0 c) (*.f64 y1 a)))

rewrite47.0ms

Algorithm

rewrite-expression-head

Rules

24×	`flip3--_binary64` `flip--_binary64`
20×	`add-sqr-sqrt_binary64`
16×	`frac-times_binary64`
12×	`-un-lft-identity_binary64` `pow1_binary64` `associate-r_binary64` `add-cube-cbrt_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `associate-l*_binary64`
8×	`sub-neg_binary64` `associate-r/_binary64` `associate-l/_binary64`
4×	`pow-prod-down_binary64` `add-log-exp_binary64` `cbrt-unprod_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `*-commutative_binary64`

Counts

4 → 112

Calls

4 calls:

11.0ms	(.f64 (-.f64 (.f64 x y) (.f64 z t)) (-.f64 (.f64 a b) (*.f64 c i)))
11.0ms	(.f64 (-.f64 (.f64 x j) (.f64 z k)) (-.f64 (.f64 y0 b) (*.f64 y1 i)))
10.0ms	(.f64 (-.f64 (.f64 t y2) (.f64 y y3)) (-.f64 (.f64 y4 c) (*.f64 y5 a)))
11.0ms	(.f64 (-.f64 (.f64 x y2) (.f64 z y3)) (-.f64 (.f64 y0 c) (*.f64 y1 a)))

series233.0ms

Counts

4 → 12

Calls

4 calls:

59.0ms	(.f64 (-.f64 (.f64 x y) (.f64 z t)) (-.f64 (.f64 a b) (*.f64 c i)))
59.0ms	(.f64 (-.f64 (.f64 x j) (.f64 z k)) (-.f64 (.f64 y0 b) (*.f64 y1 i)))
56.0ms	(.f64 (-.f64 (.f64 t y2) (.f64 y y3)) (-.f64 (.f64 y4 c) (*.f64 y5 a)))
60.0ms	(.f64 (-.f64 (.f64 x y2) (.f64 z y3)) (-.f64 (.f64 y0 c) (*.f64 y1 a)))

simplify50.0ms

Algorithm

egg-herbie

Counts

124 → 124

Iterations

Useful iterations: 0 (32.0ms)

Iter	Nodes	Cost
0	4997	2800
1	4997	2800

prune358.0ms

Filtered

99 candidates to 124 candidates (-25.3%)

Pruning

29 alts after pruning (28 fresh and 1 done)

	Pruned	Kept	Total
New	118	6	124
Fresh	0	22	22
Picked	1	0	1
Done	0	1	1
Total	119	29	148

Merged error: 16.5b

Counts

148 → 29

localize70.0ms

Local error

Found 4 expressions with local error:

8.8b	(.f64 (-.f64 (.f64 x y) (.f64 z t)) (-.f64 (.f64 a b) (*.f64 c i)))
8.9b	(.f64 (-.f64 (.f64 x j) (.f64 z k)) (-.f64 (.f64 y0 b) (*.f64 y1 i)))
9.6b	(.f64 (-.f64 (.f64 x y2) (.f64 z y3)) (-.f64 (.f64 y0 c) (*.f64 y1 a)))
9.7b	(.f64 (-.f64 (.f64 k y2) (.f64 j y3)) (-.f64 (.f64 y4 y1) (*.f64 y5 y0)))

rewrite55.0ms

Algorithm

rewrite-expression-head

Rules

24×	`flip3--_binary64` `flip--_binary64`
20×	`add-sqr-sqrt_binary64`
16×	`frac-times_binary64`
12×	`-un-lft-identity_binary64` `pow1_binary64` `associate-r_binary64` `add-cube-cbrt_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `associate-l*_binary64`
8×	`sub-neg_binary64` `associate-r/_binary64` `associate-l/_binary64`
4×	`pow-prod-down_binary64` `add-log-exp_binary64` `cbrt-unprod_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `*-commutative_binary64`

Counts

4 → 112

Calls

4 calls:

11.0ms	(.f64 (-.f64 (.f64 x y) (.f64 z t)) (-.f64 (.f64 a b) (*.f64 c i)))
11.0ms	(.f64 (-.f64 (.f64 x j) (.f64 z k)) (-.f64 (.f64 y0 b) (*.f64 y1 i)))
18.0ms	(.f64 (-.f64 (.f64 x y2) (.f64 z y3)) (-.f64 (.f64 y0 c) (*.f64 y1 a)))
11.0ms	(.f64 (-.f64 (.f64 k y2) (.f64 j y3)) (-.f64 (.f64 y4 y1) (*.f64 y5 y0)))

series227.0ms

Counts

4 → 12

Calls

4 calls:

56.0ms	(.f64 (-.f64 (.f64 x y) (.f64 z t)) (-.f64 (.f64 a b) (*.f64 c i)))
58.0ms	(.f64 (-.f64 (.f64 x j) (.f64 z k)) (-.f64 (.f64 y0 b) (*.f64 y1 i)))
59.0ms	(.f64 (-.f64 (.f64 x y2) (.f64 z y3)) (-.f64 (.f64 y0 c) (*.f64 y1 a)))
55.0ms	(.f64 (-.f64 (.f64 k y2) (.f64 j y3)) (-.f64 (.f64 y4 y1) (*.f64 y5 y0)))

simplify51.0ms

Algorithm

egg-herbie

Counts

124 → 124

Iterations

Useful iterations: 0 (34.0ms)

Iter	Nodes	Cost
0	5043	2796

prune105.0ms

Filtered

102 candidates to 124 candidates (-21.6%)

Pruning

30 alts after pruning (29 fresh and 1 done)

	Pruned	Kept	Total
New	121	3	124
Fresh	1	26	27
Picked	1	0	1
Done	0	1	1
Total	123	30	153

Merged error: 16.5b

Counts

153 → 30

regimes6.7s

Accuracy

-18.2% (10.9b remaining)

Error of 28.6b against oracle of 17.7b and baseline of 26.9b

bsearch1.4s

Steps

Iters	Range		Point
8	1.472271372250841e+70	1.2214048774758875e+74	1.3674958332285965e+72
10	5.6665503941683965e-59	2.2771927860659364e-48	4.0233186815560026e-56
7	2.596287479106955e-122	4.543988290818075e-120	1.5909222796085578e-121
6	-9.841160561528705e-250	-1.2465743916292592e-250	-4.9208337205428344e-250

simplify50.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (46.0ms)

Iter	Nodes	Cost
0	2274	403
1	2274	403

end0.0ms

sample22.4s

Algorithm

intervals

Results

14.6s	63648×	body	80	invalid
1.8s	8000×	body	80	valid

Details

analyze5.2s

sample825.0ms

simplify35.0ms

prune20.0ms

localize64.0ms

rewrite47.0ms

series230.0ms

simplify53.0ms

prune371.0ms

localize71.0ms

rewrite48.0ms

series230.0ms

simplify56.0ms

prune287.0ms

localize77.0ms

rewrite47.0ms

series233.0ms

simplify50.0ms

prune358.0ms

localize70.0ms

rewrite55.0ms

series227.0ms

simplify51.0ms

prune105.0ms

regimes6.7s

bsearch1.4s

simplify50.0ms

end0.0ms

sample22.4s

Profiling