Details

analyze906.0ms

Algorithm

Search

True	Other	False	Iter
0%	99.8%	0.2%	0
0%	99.8%	0.2%	1
0%	99.8%	0.2%	2
0%	99.8%	0.2%	3
0%	99.8%	0.2%	4
0%	99.8%	0.2%	5
0%	99.8%	0.2%	6
0%	99.8%	0.2%	7
0%	99.8%	0.2%	8
6.2%	93.6%	0.2%	9
9.4%	90.4%	0.2%	10
14%	83.4%	2.5%	11
18.7%	78.2%	3.1%	12
28.1%	65.5%	6.4%	13
30.7%	59.4%	9.9%	14

sample32.0ms

Algorithm

intervals

Results

11.0ms	256×	body	128	valid
8.0ms	193×	body	128	invalid

simplify12.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	49	22
1	49	22

prune1.0ms

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: 32.3b

Counts

2 → 1

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b	(+.f64 (/.f64 (.f64 x x) (.f64 y y)) (/.f64 (.f64 z z) (.f64 t t)))
20.0b	(/.f64 (.f64 x x) (.f64 y y))
22.0b	(/.f64 (.f64 z z) (.f64 t t))

rewrite29.0ms

Algorithm

rewrite-expression-head

Rules

27×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
8×	`cbrt-unprod_binary64` `cbrt-undiv_binary64` `prod-exp_binary64` `div-exp_binary64`
5×	`*-un-lft-identity_binary64` `add-log-exp_binary64`
3×	`pow1_binary64` `add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
2×	`associate-/r_binary64` `clear-num_binary64` `frac-2neg_binary64` `associate-/l_binary64` `times-frac_binary64` `div-inv_binary64`
1×	`flip3-+_binary64` `distribute-lft-out_binary64` `frac-add_binary64` `+-commutative_binary64` `flip-+_binary64` `sum-log_binary64`

Counts

3 → 55

Calls

3 calls:

11.0ms	(+.f64 (/.f64 (.f64 x x) (.f64 y y)) (/.f64 (.f64 z z) (.f64 t t)))
6.0ms	(/.f64 (.f64 x x) (.f64 y y))
7.0ms	(/.f64 (.f64 z z) (.f64 t t))

series248.0ms

Counts

3 → 9

Calls

3 calls:

170.0ms	(+.f64 (/.f64 (.f64 x x) (.f64 y y)) (/.f64 (.f64 z z) (.f64 t t)))
38.0ms	(/.f64 (.f64 x x) (.f64 y y))
40.0ms	(/.f64 (.f64 z z) (.f64 t t))

simplify51.0ms

Algorithm

egg-herbie

Counts

64 → 64

Iterations

Useful iterations: 0 (38.0ms)

Iter	Nodes	Cost
0	5301	879

prune53.0ms

Filtered

38 candidates to 64 candidates (-68.4%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	55	9	64
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	56	9	65

Merged error: 3.3b

Counts

65 → 9

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(+.f64 (/.f64 (.f64 x x) (.f64 y y)) (*.f64 (/.f64 z t) (/.f64 z t)))
0.4b	(*.f64 (/.f64 z t) (/.f64 z t))
20.0b	(/.f64 (.f64 x x) (.f64 y y))

rewrite39.0ms

Algorithm

rewrite-expression-head

Rules

43×	`add-sqr-sqrt_binary64`
41×	`times-frac_binary64`
31×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
27×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
13×	`swap-sqr_binary64` `associate-r_binary64` `associate-l_binary64`
10×	`pow1_binary64`
8×	`cbrt-unprod_binary64` `cbrt-undiv_binary64` `prod-exp_binary64` `div-exp_binary64`
5×	`add-log-exp_binary64` `div-inv_binary64`
4×	`unswap-sqr_binary64`
3×	`frac-add_binary64`
2×	`associate-r/_binary64` `frac-times_binary64` `associate-l/_binary64`
1×	`pow-prod-down_binary64` `flip3-+_binary64` `associate-/r_binary64` `pow-prod-up_binary64` `pow-plus_binary64` `clear-num_binary64` `frac-2neg_binary64` `associate-/l_binary64` `pow-sqr_binary64` `+-commutative_binary64` `flip-+_binary64` `pow2_binary64` `sum-log_binary64` `*-commutative_binary64`

Counts

3 → 102

Calls

3 calls:

9.0ms	(+.f64 (/.f64 (.f64 x x) (.f64 y y)) (*.f64 (/.f64 z t) (/.f64 z t)))
11.0ms	(*.f64 (/.f64 z t) (/.f64 z t))
7.0ms	(/.f64 (.f64 x x) (.f64 y y))

series244.0ms

Counts

3 → 9

Calls

3 calls:

166.0ms	(+.f64 (/.f64 (.f64 x x) (.f64 y y)) (*.f64 (/.f64 z t) (/.f64 z t)))
40.0ms	(*.f64 (/.f64 z t) (/.f64 z t))
38.0ms	(/.f64 (.f64 x x) (.f64 y y))

simplify59.0ms

Algorithm

egg-herbie

Counts

111 → 111

Iterations

Useful iterations: 0 (40.0ms)

Iter	Nodes	Cost
0	5384	1446

prune82.0ms

Filtered

68 candidates to 111 candidates (-63.2%)

Pruning

14 alts after pruning (14 fresh and 0 done)

	Pruned	Kept	Total
New	101	10	111
Fresh	4	4	8
Picked	1	0	1
Done	0	0	0
Total	106	14	120

Merged error: 0.1b

Counts

120 → 14

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(+.f64 (.f64 (/.f64 x y) (/.f64 x y)) (.f64 (/.f64 z t) (/.f64 z t)))
0.3b	(*.f64 (/.f64 x y) (/.f64 x y))
0.4b	(*.f64 (/.f64 z t) (/.f64 z t))

rewrite51.0ms

Algorithm

rewrite-expression-head

Rules

83×	`add-sqr-sqrt_binary64`
80×	`times-frac_binary64`
59×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
27×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
26×	`swap-sqr_binary64` `associate-r_binary64` `associate-l_binary64`
17×	`pow1_binary64`
9×	`frac-add_binary64`
8×	`cbrt-unprod_binary64` `cbrt-undiv_binary64` `associate-r/_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `div-inv_binary64` `div-exp_binary64` `frac-times_binary64` `associate-l/_binary64`
5×	`add-log-exp_binary64`
2×	`pow-prod-down_binary64` `pow-prod-up_binary64` `pow-plus_binary64` `pow-sqr_binary64` `pow2_binary64` `*-commutative_binary64`
1×	`flip3-+_binary64` `+-commutative_binary64` `flip-+_binary64` `sum-log_binary64`

Counts

3 → 154

Calls

3 calls:

9.0ms	(+.f64 (.f64 (/.f64 x y) (/.f64 x y)) (.f64 (/.f64 z t) (/.f64 z t)))
14.0ms	(*.f64 (/.f64 x y) (/.f64 x y))
11.0ms	(*.f64 (/.f64 z t) (/.f64 z t))

series234.0ms

Counts

3 → 9

Calls

3 calls:

158.0ms	(+.f64 (.f64 (/.f64 x y) (/.f64 x y)) (.f64 (/.f64 z t) (/.f64 z t)))
37.0ms	(*.f64 (/.f64 x y) (/.f64 x y))
39.0ms	(*.f64 (/.f64 z t) (/.f64 z t))

simplify56.0ms

Algorithm

egg-herbie

Counts

163 → 163

Iterations

Useful iterations: 0 (29.0ms)

Iter	Nodes	Cost
0	5000	2285

prune122.0ms

Filtered

102 candidates to 163 candidates (-59.8%)

Pruning

16 alts after pruning (16 fresh and 0 done)

	Pruned	Kept	Total
New	151	12	163
Fresh	9	4	13
Picked	1	0	1
Done	0	0	0
Total	161	16	177

Merged error: 0b

Counts

177 → 16

localize19.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt.f64 y)
0.6b	(cbrt.f64 x)
0.6b	(cbrt.f64 x)
0.6b	(cbrt.f64 x)

rewrite9.0ms

Algorithm

rewrite-expression-head

Rules

12×	`cbrt-prod_binary64`
8×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
4×	`add-log-exp_binary64` `pow1_binary64` `pow1/3_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`

Counts

4 → 44

Calls

4 calls:

1.0ms	(cbrt.f64 y)
1.0ms	(cbrt.f64 x)
1.0ms	(cbrt.f64 x)
1.0ms	(cbrt.f64 x)

series634.0ms

Counts

4 → 12

Calls

4 calls:

152.0ms	(cbrt.f64 y)
152.0ms	(cbrt.f64 x)
164.0ms	(cbrt.f64 x)
166.0ms	(cbrt.f64 x)

simplify67.0ms

Algorithm

egg-herbie

Counts

56 → 56

Iterations

Useful iterations: 0 (56.0ms)

Iter	Nodes	Cost
0	4938	340
1	4938	340

prune49.0ms

Filtered

48 candidates to 56 candidates (-16.7%)

Pruning

16 alts after pruning (15 fresh and 1 done)

	Pruned	Kept	Total
New	56	0	56
Fresh	0	15	15
Picked	0	1	1
Done	0	0	0
Total	56	16	72

Merged error: 0b

Counts

72 → 16

regimes309.0ms

Accuracy

0% (0.9b remaining)

Error of 0.9b against oracle of 0.0b and baseline of 0.9b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	20	46
1	20	46

end0.0ms

sample962.0ms

Algorithm

intervals

Results

351.0ms	8000×	body	128	valid
254.0ms	5949×	body	128	invalid

Details

analyze906.0ms

sample32.0ms

simplify12.0ms

prune1.0ms

localize10.0ms

rewrite29.0ms

series248.0ms

simplify51.0ms

prune53.0ms

localize9.0ms

rewrite39.0ms

series244.0ms

simplify59.0ms

prune82.0ms

localize8.0ms

rewrite51.0ms

series234.0ms

simplify56.0ms

prune122.0ms

localize19.0ms

rewrite9.0ms

series634.0ms

simplify67.0ms

prune49.0ms

regimes309.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample962.0ms

Profiling