Details

analyze954.0ms

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

sample34.0ms

Algorithm

intervals

Results

11.0ms	256×	body	80	valid
8.0ms	192×	body	80	invalid

simplify7.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (4.0ms)

Iter	Nodes	Cost
0	48	15
1	48	15

prune3.0ms

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: 35.0b

Counts

2 → 1

localize15.0ms

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)))
20.7b	(/.f64 (.f64 z z) (.f64 t t))
22.7b	(/.f64 (.f64 x x) (.f64 y y))

rewrite25.0ms

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:

10.0ms	(+.f64 (/.f64 (.f64 x x) (.f64 y y)) (/.f64 (.f64 z z) (.f64 t t)))
7.0ms	(/.f64 (.f64 z z) (.f64 t t))
7.0ms	(/.f64 (.f64 x x) (.f64 y y))

series40.0ms

Counts

3 → 9

Calls

3 calls:

28.0ms	(+.f64 (/.f64 (.f64 x x) (.f64 y y)) (/.f64 (.f64 z z) (.f64 t t)))
6.0ms	(/.f64 (.f64 z z) (.f64 t t))
6.0ms	(/.f64 (.f64 x x) (.f64 y y))

simplify55.0ms

Algorithm

egg-herbie

Counts

64 → 64

Iterations

Useful iterations: 0 (47.0ms)

Iter	Nodes	Cost
0	4972	598
1	4972	598

prune68.0ms

Filtered

37 candidates to 64 candidates (-73.0%)

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: 5.1b

Counts

65 → 9

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(+.f64 (.f64 (/.f64 x y) (/.f64 x y)) (/.f64 (.f64 z z) (*.f64 t t)))
0.3b	(*.f64 (/.f64 x y) (/.f64 x y))
20.7b	(/.f64 (.f64 z z) (.f64 t t))

rewrite35.0ms

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:

10.0ms	(+.f64 (.f64 (/.f64 x y) (/.f64 x y)) (/.f64 (.f64 z z) (*.f64 t t)))
10.0ms	(*.f64 (/.f64 x y) (/.f64 x y))
11.0ms	(/.f64 (.f64 z z) (.f64 t t))

series41.0ms

Counts

3 → 9

Calls

3 calls:

28.0ms	(+.f64 (.f64 (/.f64 x y) (/.f64 x y)) (/.f64 (.f64 z z) (*.f64 t t)))
6.0ms	(*.f64 (/.f64 x y) (/.f64 x y))
7.0ms	(/.f64 (.f64 z z) (.f64 t t))

simplify48.0ms

Algorithm

egg-herbie

Counts

111 → 111

Iterations

Useful iterations: 0 (37.0ms)

Iter	Nodes	Cost
0	5249	970

prune84.0ms

Filtered

69 candidates to 111 candidates (-60.9%)

Pruning

12 alts after pruning (12 fresh and 0 done)

	Pruned	Kept	Total
New	102	9	111
Fresh	5	3	8
Picked	1	0	1
Done	0	0	0
Total	108	12	120

Merged error: 0.1b

Counts

120 → 12

localize7.0ms

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

rewrite38.0ms

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)))
11.0ms	(*.f64 (/.f64 z t) (/.f64 z t))
10.0ms	(*.f64 (/.f64 x y) (/.f64 x y))

series43.0ms

Counts

3 → 9

Calls

3 calls:

28.0ms	(+.f64 (.f64 (/.f64 x y) (/.f64 x y)) (.f64 (/.f64 z t) (/.f64 z t)))
9.0ms	(*.f64 (/.f64 z t) (/.f64 z t))
6.0ms	(*.f64 (/.f64 x y) (/.f64 x y))

simplify68.0ms

Algorithm

egg-herbie

Counts

163 → 163

Iterations

Useful iterations: 0 (54.0ms)

Iter	Nodes	Cost
0	4990	1511
1	4990	1511

prune109.0ms

Filtered

103 candidates to 163 candidates (-58.3%)

Pruning

13 alts after pruning (13 fresh and 0 done)

	Pruned	Kept	Total
New	154	9	163
Fresh	7	4	11
Picked	1	0	1
Done	0	0	0
Total	162	13	175

Merged error: 0.0b

Counts

175 → 13

localize12.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt.f64 t)
0.5b	(cbrt.f64 t)
0.5b	(cbrt.f64 t)
0.5b	(cbrt.f64 t)

rewrite7.0ms

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 t)
1.0ms	(cbrt.f64 t)
1.0ms	(cbrt.f64 t)
2.0ms	(cbrt.f64 t)

series63.0ms

Counts

4 → 12

Calls

4 calls:

15.0ms	(cbrt.f64 t)
15.0ms	(cbrt.f64 t)
18.0ms	(cbrt.f64 t)
15.0ms	(cbrt.f64 t)

simplify27.0ms

Algorithm

egg-herbie

Counts

56 → 56

Iterations

Useful iterations: 0 (22.0ms)

Iter	Nodes	Cost
0	4998	212
1	4998	212

prune27.0ms

Filtered

48 candidates to 56 candidates (-16.7%)

Pruning

13 alts after pruning (12 fresh and 1 done)

	Pruned	Kept	Total
New	56	0	56
Fresh	0	12	12
Picked	0	1	1
Done	0	0	0
Total	56	13	69

Merged error: 0.0b

Counts

69 → 13

regimes589.0ms

Accuracy

0% (1.0b remaining)

Error of 1.1b against oracle of 0.1b and baseline of 1.1b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	14	29
1	14	29

end0.0ms

sample979.0ms

Algorithm

intervals

Results

359.0ms	8000×	body	80	valid
259.0ms	6044×	body	80	invalid

Details

analyze954.0ms

sample34.0ms

simplify7.0ms

prune3.0ms

localize15.0ms

rewrite25.0ms

series40.0ms

simplify55.0ms

prune68.0ms

localize9.0ms

rewrite35.0ms

series41.0ms

simplify48.0ms

prune84.0ms

localize7.0ms

rewrite38.0ms

series43.0ms

simplify68.0ms

prune109.0ms

localize12.0ms

rewrite7.0ms

series63.0ms

simplify27.0ms

prune27.0ms

regimes589.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample979.0ms

Profiling