Details

analyze930.0ms

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

sample37.0ms

Algorithm

intervals

Results

11.0ms	256×	body	80	valid
8.0ms	190×	body	80	invalid

simplify6.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (3.0ms)

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: 30.7b

Counts

2 → 1

localize9.0ms

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)))
18.1b	(/.f64 (.f64 z z) (.f64 t t))
19.9b	(/.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))

series39.0ms

Counts

3 → 9

Calls

3 calls:

27.0ms	(+.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))

simplify249.0ms

Algorithm

egg-herbie

Counts

64 → 64

Iterations

Useful iterations: 0 (45.0ms)

Iter	Nodes	Cost
0	4972	598
1	4972	598

prune61.0ms

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: 3.9b

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))
18.1b	(/.f64 (.f64 z z) (.f64 t t))

rewrite31.0ms

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))
7.0ms	(/.f64 (.f64 z z) (.f64 t t))

series41.0ms

Counts

3 → 9

Calls

3 calls:

29.0ms	(+.f64 (.f64 (/.f64 x y) (/.f64 x y)) (/.f64 (.f64 z z) (*.f64 t t)))
6.0ms	(*.f64 (/.f64 x y) (/.f64 x y))
6.0ms	(/.f64 (.f64 z z) (.f64 t t))

simplify44.0ms

Algorithm

egg-herbie

Counts

111 → 111

Iterations

Useful iterations: 0 (34.0ms)

Iter	Nodes	Cost
0	5249	970

prune91.0ms

Filtered

69 candidates to 111 candidates (-60.9%)

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

localize10.0ms

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))

rewrite39.0ms

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))
11.0ms	(*.f64 (/.f64 x y) (/.f64 x y))

series39.0ms

Counts

3 → 9

Calls

3 calls:

27.0ms	(+.f64 (.f64 (/.f64 x y) (/.f64 x y)) (.f64 (/.f64 z t) (/.f64 z t)))
6.0ms	(*.f64 (/.f64 z t) (/.f64 z t))
6.0ms	(*.f64 (/.f64 x y) (/.f64 x y))

simplify57.0ms

Algorithm

egg-herbie

Counts

163 → 163

Iterations

Useful iterations: 0 (40.0ms)

Iter	Nodes	Cost
0	4990	1511
1	4990	1511

prune116.0ms

Filtered

104 candidates to 163 candidates (-56.7%)

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: 0.0b

Counts

177 → 16

localize12.0ms

Local error

Found 4 expressions with local error:

0.6b	(pow.f64 (cbrt.f64 (/.f64 z t)) 4)
11.5b	(cbrt.f64 (/.f64 z t))
11.5b	(cbrt.f64 (/.f64 z t))
11.5b	(cbrt.f64 (/.f64 z t))

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

52×	`cbrt-prod_binary64`
36×	`times-frac_binary64`
34×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
16×	`unpow-prod-down_binary64`
5×	`pow1_binary64` `add-exp-log_binary64`
4×	`add-log-exp_binary64` `pow1/3_binary64` `add-cbrt-cube_binary64` `div-inv_binary64`
3×	`cbrt-div_binary64` `pow-unpow_binary64`
2×	`pow-pow_binary64`
1×	`pow-to-exp_binary64` `sqr-pow_binary64` `pow-exp_binary64`

Counts

4 → 97

Calls

4 calls:

5.0ms	(pow.f64 (cbrt.f64 (/.f64 z t)) 4)
2.0ms	(cbrt.f64 (/.f64 z t))
2.0ms	(cbrt.f64 (/.f64 z t))
3.0ms	(cbrt.f64 (/.f64 z t))

series58.0ms

Counts

4 → 12

Calls

4 calls:

22.0ms	(pow.f64 (cbrt.f64 (/.f64 z t)) 4)
12.0ms	(cbrt.f64 (/.f64 z t))
12.0ms	(cbrt.f64 (/.f64 z t))
12.0ms	(cbrt.f64 (/.f64 z t))

simplify65.0ms

Algorithm

egg-herbie

Counts

109 → 109

Iterations

Useful iterations: 0 (55.0ms)

Iter	Nodes	Cost
0	5200	903

prune57.0ms

Filtered

89 candidates to 109 candidates (-22.5%)

Pruning

17 alts after pruning (16 fresh and 1 done)

	Pruned	Kept	Total
New	108	1	109
Fresh	0	15	15
Picked	0	1	1
Done	0	0	0
Total	108	17	125

Merged error: 0.0b

Counts

125 → 17

regimes786.0ms

Accuracy

0% (1.0b remaining)

Error of 1.0b against oracle of 0.0b and baseline of 1.0b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	26	34
1	26	34

end0.0ms

sample998.0ms

Algorithm

intervals

Results

357.0ms	8000×	body	80	valid
275.0ms	6136×	body	80	invalid

Details

analyze930.0ms

sample37.0ms

simplify6.0ms

prune3.0ms

localize9.0ms

rewrite25.0ms

series39.0ms

simplify249.0ms

prune61.0ms

localize9.0ms

rewrite31.0ms

series41.0ms

simplify44.0ms

prune91.0ms

localize10.0ms

rewrite39.0ms

series39.0ms

simplify57.0ms

prune116.0ms

localize12.0ms

rewrite16.0ms

series58.0ms

simplify65.0ms

prune57.0ms

regimes786.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample998.0ms

Profiling