Details

analyze259.0ms

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
0%	99.9%	0.1%	5
0%	99.9%	0.1%	6
31.2%	68.6%	0.1%	7
40.6%	59.3%	0.1%	8
43.7%	56.2%	0.1%	9
56.6%	43.3%	0.1%	10
61%	37.3%	1.7%	11
62.1%	34.8%	3.1%	12
68.6%	25.6%	5.8%	13
70.6%	22.1%	7.4%	14

sample16.0ms

Algorithm

intervals

Results

6.0ms	256×	body	80	valid
1.0ms	50×	body	80	invalid

simplify18.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (16.0ms)

Iter	Nodes	Cost
0	356	7
1	356	7

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: 0.0b

Counts

2 → 1

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b	(+.f64 x (/.f64 (-.f64 y x) z))
0.0b	(/.f64 (-.f64 y x) z)

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

22×	`*-un-lft-identity_binary64`
20×	`add-sqr-sqrt_binary64`
15×	`times-frac_binary64`
12×	`add-cube-cbrt_binary64`
5×	`associate-/l*_binary64`
4×	`add-log-exp_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `difference-of-squares_binary64` `distribute-lft-out--_binary64`
3×	`associate-/r*_binary64`
2×	`associate-/l/_binary64` `pow1_binary64` `div-sub_binary64`
1×	`flip3-+_binary64` `associate-+r-_binary64` `flip3--_binary64` `distribute-lft-out_binary64` `cbrt-undiv_binary64` `clear-num_binary64` `frac-2neg_binary64` `div-inv_binary64` `div-exp_binary64` `+-commutative_binary64` `flip--_binary64` `flip-+_binary64` `sum-log_binary64`

Counts

2 → 51

Calls

2 calls:

9.0ms	(+.f64 x (/.f64 (-.f64 y x) z))
6.0ms	(/.f64 (-.f64 y x) z)

series15.0ms

Counts

2 → 6

Calls

2 calls:

7.0ms	(+.f64 x (/.f64 (-.f64 y x) z))
7.0ms	(/.f64 (-.f64 y x) z)

simplify45.0ms

Algorithm

egg-herbie

Counts

57 → 57

Iterations

Useful iterations: 0 (39.0ms)

Iter	Nodes	Cost
0	5763	519

prune47.0ms

Filtered

40 candidates to 57 candidates (-42.5%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	55	2	57
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	55	3	58

Merged error: 0b

Counts

58 → 3

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b	(+.f64 x (/.f64 1 (/.f64 z (-.f64 y x))))
0.0b	(/.f64 z (-.f64 y x))
0.4b	(/.f64 1 (/.f64 z (-.f64 y x)))

rewrite44.0ms

Algorithm

rewrite-expression-head

Rules

138×	`times-frac_binary64`
106×	`*-un-lft-identity_binary64`
103×	`add-sqr-sqrt_binary64`
71×	`add-cube-cbrt_binary64`
26×	`associate-/r*_binary64`
16×	`add-exp-log_binary64` `difference-of-squares_binary64` `distribute-lft-out--_binary64`
11×	`associate-/r/_binary64`
10×	`add-cbrt-cube_binary64`
8×	`div-exp_binary64`
7×	`div-inv_binary64`
6×	`associate-/l*_binary64`
5×	`add-log-exp_binary64` `flip3--_binary64` `flip--_binary64`
4×	`pow1_binary64` `cbrt-undiv_binary64`
2×	`distribute-lft-out_binary64` `1-exp_binary64` `clear-num_binary64` `frac-2neg_binary64` `rec-exp_binary64`
1×	`flip3-+_binary64` `inv-pow_binary64` `+-commutative_binary64` `pow-flip_binary64` `flip-+_binary64` `sum-log_binary64`

Counts

3 → 158

Calls

3 calls:

20.0ms	(+.f64 x (/.f64 1 (/.f64 z (-.f64 y x))))
6.0ms	(/.f64 z (-.f64 y x))
11.0ms	(/.f64 1 (/.f64 z (-.f64 y x)))

series24.0ms

Counts

3 → 9

Calls

3 calls:

7.0ms	(+.f64 x (/.f64 1 (/.f64 z (-.f64 y x))))
9.0ms	(/.f64 z (-.f64 y x))
9.0ms	(/.f64 1 (/.f64 z (-.f64 y x)))

simplify61.0ms

Algorithm

egg-herbie

Counts

167 → 167

Iterations

Useful iterations: 0 (44.0ms)

Iter	Nodes	Cost
0	5340	1827

prune98.0ms

Filtered

100 candidates to 167 candidates (-67.0%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	167	0	167
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	167	3	170

Merged error: 0b

Counts

170 → 3

localize10.0ms

Local error

Found 4 expressions with local error:

0.5b	(*.f64 (cbrt.f64 (-.f64 y x)) (cbrt.f64 (-.f64 y x)))
0.6b	(cbrt.f64 (-.f64 y x))
0.6b	(cbrt.f64 (-.f64 y x))
0.6b	(cbrt.f64 (-.f64 y x))

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

43×	`cbrt-prod_binary64`
37×	`add-sqr-sqrt_binary64`
35×	`*-un-lft-identity_binary64`
18×	`cbrt-div_binary64`
15×	`add-cube-cbrt_binary64`
11×	`pow1_binary64`
10×	`swap-sqr_binary64`
9×	`flip3--_binary64` `pow1/3_binary64` `distribute-lft-out--_binary64` `flip--_binary64`
8×	`associate-r_binary64` `associate-l_binary64`
7×	`difference-of-squares_binary64`
6×	`add-exp-log_binary64`
4×	`add-log-exp_binary64` `add-cbrt-cube_binary64` `unswap-sqr_binary64` `frac-times_binary64`
2×	`pow-prod-down_binary64` `pow-prod-up_binary64` `associate-r/_binary64` `pow-sqr_binary64` `associate-l/_binary64`
1×	`cbrt-unprod_binary64` `pow-plus_binary64` `prod-exp_binary64` `pow2_binary64` `*-commutative_binary64`

Counts

4 → 101

Calls

4 calls:

12.0ms	(*.f64 (cbrt.f64 (-.f64 y x)) (cbrt.f64 (-.f64 y x)))
6.0ms	(cbrt.f64 (-.f64 y x))
3.0ms	(cbrt.f64 (-.f64 y x))
4.0ms	(cbrt.f64 (-.f64 y x))

series128.0ms

Counts

4 → 12

Calls

4 calls:

37.0ms	(*.f64 (cbrt.f64 (-.f64 y x)) (cbrt.f64 (-.f64 y x)))
32.0ms	(cbrt.f64 (-.f64 y x))
29.0ms	(cbrt.f64 (-.f64 y x))
31.0ms	(cbrt.f64 (-.f64 y x))

simplify41.0ms

Algorithm

egg-herbie

Counts

113 → 113

Iterations

Useful iterations: 0 (31.0ms)

Iter	Nodes	Cost
0	5307	1060

prune85.0ms

Filtered

86 candidates to 113 candidates (-31.4%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	113	0	113
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	113	3	116

Merged error: 0b

Counts

116 → 3

regimes162.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	17	7
1	17	7

end0.0ms

sample411.0ms

Algorithm

intervals

Results

191.0ms	8000×	body	80	valid
30.0ms	1350×	body	80	invalid

Details

analyze259.0ms

sample16.0ms

simplify18.0ms

prune3.0ms

localize5.0ms

rewrite17.0ms

series15.0ms

simplify45.0ms

prune47.0ms

localize7.0ms

rewrite44.0ms

series24.0ms

simplify61.0ms

prune98.0ms

localize10.0ms

rewrite28.0ms

series128.0ms

simplify41.0ms

prune85.0ms

regimes162.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample411.0ms

Profiling