Details

analyze370.0ms

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
0%	99.9%	0.1%	7
0%	99.9%	0.1%	8
40.6%	56.9%	2.5%	9
46%	49.5%	4.4%	10
50.3%	44.9%	4.8%	11
60.3%	30.5%	9.2%	12
62.9%	25.7%	11.4%	13
65.2%	23.2%	11.7%	14

sample18.0ms

Algorithm

intervals

Results

9.0ms	256×	body	80	valid
1.0ms	34×	body	80	invalid

simplify225.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (216.0ms)

Iter	Nodes	Cost
0	4895	13
1	4895	13

prune4.0ms

Filtered

1 candidates to 1 candidates (0.0%)

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 → 2

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(+.f64 x (*.f64 y 3/4))
0.0b	(-.f64 (+.f64 x (*.f64 y 3/4)) z)
0.0b	(+.f64 1 (/.f64 (.f64 4 (-.f64 (+.f64 x (.f64 y 3/4)) z)) y))
0.1b	(/.f64 (.f64 4 (-.f64 (+.f64 x (.f64 y 3/4)) z)) y)

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

13×	`add-log-exp_binary64`
10×	`*-un-lft-identity_binary64`
9×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
8×	`add-sqr-sqrt_binary64`
6×	`add-cube-cbrt_binary64`
4×	`pow1_binary64`
3×	`associate-/r*_binary64` `times-frac_binary64` `sum-log_binary64`
2×	`flip3-+_binary64` `associate-/l/_binary64` `flip3--_binary64` `diff-log_binary64` `cbrt-undiv_binary64` `associate-*r/_binary64` `div-exp_binary64` `+-commutative_binary64` `flip--_binary64` `flip-+_binary64`
1×	`sub-neg_binary64` `cbrt-unprod_binary64` `distribute-lft-out_binary64` `clear-num_binary64` `prod-exp_binary64` `frac-2neg_binary64` `difference-of-squares_binary64` `associate-/l*_binary64` `distribute-lft-out--_binary64` `div-inv_binary64` `associate--l+_binary64`

Counts

4 → 61

Calls

4 calls:

3.0ms	(+.f64 x (*.f64 y 3/4))
6.0ms	(-.f64 (+.f64 x (*.f64 y 3/4)) z)
7.0ms	(+.f64 1 (/.f64 (.f64 4 (-.f64 (+.f64 x (.f64 y 3/4)) z)) y))
9.0ms	(/.f64 (.f64 4 (-.f64 (+.f64 x (.f64 y 3/4)) z)) y)

series94.0ms

Counts

4 → 12

Calls

4 calls:

16.0ms	(+.f64 x (*.f64 y 3/4))
17.0ms	(-.f64 (+.f64 x (*.f64 y 3/4)) z)
24.0ms	(+.f64 1 (/.f64 (.f64 4 (-.f64 (+.f64 x (.f64 y 3/4)) z)) y))
36.0ms	(/.f64 (.f64 4 (-.f64 (+.f64 x (.f64 y 3/4)) z)) y)

simplify68.0ms

Algorithm

egg-herbie

Counts

73 → 73

Iterations

Useful iterations: 0 (48.0ms)

Iter	Nodes	Cost
0	4946	1276
1	4946	1276

prune63.0ms

Filtered

53 candidates to 73 candidates (-37.7%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	71	2	73
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	72	3	75

Merged error: 0b

Counts

75 → 3

localize7.0ms

Local error

Found 1 expressions with local error:

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

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

6×	`*-un-lft-identity_binary64` `add-log-exp_binary64` `add-sqr-sqrt_binary64`
2×	`diff-log_binary64` `difference-of-squares_binary64` `distribute-lft-out--_binary64` `frac-sub_binary64`
1×	`flip3-+_binary64` `sub-neg_binary64` `pow1_binary64` `flip3--_binary64` `distribute-lft-out_binary64` `add-cube-cbrt_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `times-frac_binary64` `flip--_binary64` `flip-+_binary64` `associate--l+_binary64` `sum-log_binary64`

Counts

1 → 19

Calls

1 calls:

12.0ms

(-.f64 (+.f64 (/.f64 x y) 1) (/.f64 z y))

series17.0ms

Counts

1 → 3

Calls

1 calls:

17.0ms

(-.f64 (+.f64 (/.f64 x y) 1) (/.f64 z y))

simplify69.0ms

Algorithm

egg-herbie

Counts

22 → 22

Iterations

Useful iterations: 0 (56.0ms)

Iter	Nodes	Cost
0	5113	482

prune16.0ms

Filtered

15 candidates to 22 candidates (-46.7%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	22	0	22
Fresh	0	2	2
Picked	0	1	1
Done	0	0	0
Total	22	3	25

Merged error: 0b

Counts

25 → 3

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(+.f64 4 (*.f64 (/.f64 4 y) (-.f64 x z)))
0.3b	(*.f64 (/.f64 4 y) (-.f64 x z))

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

17×	`add-sqr-sqrt_binary64`
13×	`associate-l_binary64`
12×	`*-un-lft-identity_binary64`
10×	`add-cube-cbrt_binary64` `times-frac_binary64`
7×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
5×	`associate-r_binary64`
4×	`add-log-exp_binary64` `sub-neg_binary64` `pow1_binary64`
2×	`flip3--_binary64` `cbrt-unprod_binary64` `associate-*r/_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `flip--_binary64` `associate-+r+_binary64` `frac-times_binary64`
1×	`pow-prod-down_binary64` `flip3-+_binary64` `cbrt-undiv_binary64` `difference-of-squares_binary64` `distribute-lft-out--_binary64` `div-inv_binary64` `div-exp_binary64` `+-commutative_binary64` `flip-+_binary64` `associate-l/_binary64` `sum-log_binary64` `-commutative_binary64`

Counts

2 → 53

Calls

2 calls:

4.0ms	(+.f64 4 (*.f64 (/.f64 4 y) (-.f64 x z)))
11.0ms	(*.f64 (/.f64 4 y) (-.f64 x z))

series58.0ms

Counts

2 → 6

Calls

2 calls:

19.0ms	(+.f64 4 (*.f64 (/.f64 4 y) (-.f64 x z)))
40.0ms	(*.f64 (/.f64 4 y) (-.f64 x z))

simplify80.0ms

Algorithm

egg-herbie

Counts

59 → 59

Iterations

Useful iterations: 0 (65.0ms)

Iter	Nodes	Cost
0	5021	840

prune39.0ms

Filtered

43 candidates to 59 candidates (-37.2%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	59	0	59
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	59	3	62

Merged error: 0b

Counts

62 → 3

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(-.f64 (+.f64 x (*.f64 y 3/4)) z)
0.0b	(+.f64 1 (/.f64 4 (/.f64 y (-.f64 (+.f64 x (*.f64 y 3/4)) z))))
0.1b	(/.f64 y (-.f64 (+.f64 x (*.f64 y 3/4)) z))
0.2b	(/.f64 4 (/.f64 y (-.f64 (+.f64 x (*.f64 y 3/4)) z)))

rewrite56.0ms

Algorithm

rewrite-expression-head

Rules

138×	`times-frac_binary64`
108×	`*-un-lft-identity_binary64`
106×	`add-sqr-sqrt_binary64`
72×	`add-cube-cbrt_binary64`
26×	`associate-/r*_binary64`
17×	`difference-of-squares_binary64` `distribute-lft-out--_binary64`
11×	`add-log-exp_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `associate-/r/_binary64`
6×	`flip3--_binary64` `associate-/l*_binary64` `div-inv_binary64` `flip--_binary64`
4×	`pow1_binary64` `cbrt-undiv_binary64` `div-exp_binary64`
2×	`diff-log_binary64` `clear-num_binary64` `frac-2neg_binary64` `sum-log_binary64`
1×	`flip3-+_binary64` `sub-neg_binary64` `distribute-lft-out_binary64` `+-commutative_binary64` `flip-+_binary64` `associate--l+_binary64`

Counts

4 → 166

Calls

4 calls:

6.0ms	(-.f64 (+.f64 x (*.f64 y 3/4)) z)
23.0ms	(+.f64 1 (/.f64 4 (/.f64 y (-.f64 (+.f64 x (*.f64 y 3/4)) z))))
7.0ms	(/.f64 y (-.f64 (+.f64 x (*.f64 y 3/4)) z))
11.0ms	(/.f64 4 (/.f64 y (-.f64 (+.f64 x (*.f64 y 3/4)) z)))

series127.0ms

Counts

4 → 12

Calls

4 calls:

18.0ms	(-.f64 (+.f64 x (*.f64 y 3/4)) z)
20.0ms	(+.f64 1 (/.f64 4 (/.f64 y (-.f64 (+.f64 x (*.f64 y 3/4)) z))))
59.0ms	(/.f64 y (-.f64 (+.f64 x (*.f64 y 3/4)) z))
30.0ms	(/.f64 4 (/.f64 y (-.f64 (+.f64 x (*.f64 y 3/4)) z)))

simplify108.0ms

Algorithm

egg-herbie

Counts

178 → 178

Iterations

Useful iterations: 0 (60.0ms)

Iter	Nodes	Cost
0	5012	4648

prune172.0ms

Filtered

132 candidates to 178 candidates (-34.8%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	178	0	178
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	178	3	181

Merged error: 0b

Counts

181 → 3

regimes28.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify3.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	31	16
1	31	16

end0.0ms

sample514.0ms

Algorithm

intervals

Results

294.0ms	8000×	body	80	valid
37.0ms	960×	body	80	invalid

Details

analyze370.0ms

sample18.0ms

simplify225.0ms

prune4.0ms

localize9.0ms

rewrite27.0ms

series94.0ms

simplify68.0ms

prune63.0ms

localize7.0ms

rewrite13.0ms

series17.0ms

simplify69.0ms

prune16.0ms

localize6.0ms

rewrite17.0ms

series58.0ms

simplify80.0ms

prune39.0ms

localize9.0ms

rewrite56.0ms

series127.0ms

simplify108.0ms

prune172.0ms

regimes28.0ms

bsearch0.0ms

simplify3.0ms

end0.0ms

sample514.0ms

Profiling