Details

analyze340.0ms

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
12.5%	87.4%	0.1%	7
18.7%	81.1%	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

sample21.0ms

Algorithm

intervals

Results

9.0ms	256×	body	80	valid
1.0ms	27×	body	80	invalid

simplify73.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (64.0ms)

Iter	Nodes	Cost
0	4849	13
1	4849	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

localize6.0ms

Local error

Found 1 expressions with local error:

0.2b	(*.f64 (/.f64 4 y) (-.f64 x z))

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

1 → 40

Calls

1 calls:

9.0ms

(*.f64 (/.f64 4 y) (-.f64 x z))

series40.0ms

Counts

1 → 3

Calls

1 calls:

40.0ms

(*.f64 (/.f64 4 y) (-.f64 x z))

simplify71.0ms

Algorithm

egg-herbie

Counts

43 → 43

Iterations

Useful iterations: 0 (55.0ms)

Iter	Nodes	Cost
0	5826	564

prune29.0ms

Filtered

31 candidates to 43 candidates (-38.7%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	41	2	43
Fresh	1	0	1
Picked	1	0	1
Done	0	0	0
Total	43	2	45

Merged error: 0b

Counts

45 → 2

localize9.0ms

Local error

Found 3 expressions with local error:

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

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

29×	`add-sqr-sqrt_binary64`
26×	`associate-l_binary64`
20×	`times-frac_binary64`
19×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
13×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
7×	`pow1_binary64`
6×	`associate-r_binary64`
5×	`add-log-exp_binary64`
4×	`cbrt-unprod_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `associate-*l/_binary64`
2×	`pow-prod-down_binary64` `cbrt-undiv_binary64` `div-inv_binary64` `div-exp_binary64` `*-commutative_binary64`
1×	`flip3-+_binary64` `frac-add_binary64` `+-commutative_binary64` `flip-+_binary64` `sum-log_binary64`

Counts

3 → 76

Calls

3 calls:

6.0ms	(*.f64 (/.f64 z y) -4)
7.0ms	(+.f64 (.f64 (/.f64 4 y) x) (.f64 (/.f64 z y) -4))
6.0ms	(*.f64 (/.f64 4 y) x)

series66.0ms

Counts

3 → 9

Calls

3 calls:

12.0ms	(*.f64 (/.f64 z y) -4)
38.0ms	(+.f64 (.f64 (/.f64 4 y) x) (.f64 (/.f64 z y) -4))
16.0ms	(*.f64 (/.f64 4 y) x)

simplify83.0ms

Algorithm

egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 0 (66.0ms)

Iter	Nodes	Cost
0	5100	948

prune59.0ms

Filtered

62 candidates to 85 candidates (-37.1%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	85	0	85
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	85	2	87

Merged error: 0b

Counts

87 → 2

localize6.0ms

Local error

Found 1 expressions with local error:

0.2b	(/.f64 (*.f64 4 (-.f64 x z)) y)

rewrite8.0ms

Algorithm

rewrite-expression-head

Rules

6×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
3×	`-un-lft-identity_binary64` `associate-/r_binary64` `add-cube-cbrt_binary64` `add-sqr-sqrt_binary64` `times-frac_binary64`
2×	`associate-/l/_binary64` `cbrt-undiv_binary64` `associate-*r/_binary64` `div-exp_binary64`
1×	`add-log-exp_binary64` `pow1_binary64` `flip3--_binary64` `cbrt-unprod_binary64` `clear-num_binary64` `prod-exp_binary64` `frac-2neg_binary64` `associate-/l*_binary64` `div-inv_binary64` `flip--_binary64`

Counts

1 → 23

Calls

1 calls:

7.0ms

(/.f64 (*.f64 4 (-.f64 x z)) y)

series29.0ms

Counts

1 → 3

Calls

1 calls:

29.0ms

(/.f64 (*.f64 4 (-.f64 x z)) y)

simplify78.0ms

Algorithm

egg-herbie

Counts

26 → 26

Iterations

Useful iterations: 0 (64.0ms)

Iter	Nodes	Cost
0	5251	312

prune14.0ms

Filtered

18 candidates to 26 candidates (-44.4%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	26	0	26
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	26	2	28

Merged error: 0b

Counts

28 → 2

regimes24.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify3.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	17	19
1	17	19

end0.0ms

sample507.0ms

Algorithm

intervals

Results

290.0ms	8000×	body	80	valid
36.0ms	947×	body	80	invalid

Details

analyze340.0ms

sample21.0ms

simplify73.0ms

prune4.0ms

localize6.0ms

rewrite11.0ms

series40.0ms

simplify71.0ms

prune29.0ms

localize9.0ms

rewrite24.0ms

series66.0ms

simplify83.0ms

prune59.0ms

localize6.0ms

rewrite8.0ms

series29.0ms

simplify78.0ms

prune14.0ms

regimes24.0ms

bsearch0.0ms

simplify3.0ms

end0.0ms

sample507.0ms

Profiling