Details

analyze11.0ms

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
25%	74.9%	0.1%	6
93.7%	6.2%	0.1%	7
96.8%	3.1%	0.1%	8
99.5%	0.4%	0.1%	9
99.7%	0.2%	0.1%	10
99.8%	0.1%	0.1%	11
99.9%	0%	0.1%	12
99.9%	0%	0.1%	13
99.9%	0%	0.1%	14

sample17.0ms

Algorithm

intervals

Results

11.0ms

256×

body

valid

simplify60.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (58.0ms)

Iter	Nodes	Cost
0	5027	19

prune5.0ms

Filtered

1 candidates to 1 candidates (0.0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Merged error: 28.9b

Counts

2 → 1

localize7.0ms

Local error

Found 2 expressions with local error:

2.3b	(-.f64 (.f64 x x) (.f64 (*.f64 y 4.0) y))
28.3b	(/.f64 (-.f64 (.f64 x x) (.f64 (.f64 y 4.0) y)) (+.f64 (.f64 x x) (.f64 (.f64 y 4.0) y)))

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

10×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
9×	`times-frac_binary64`
4×	`add-log-exp_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
3×	`associate-/r_binary64` `associate-/l_binary64`
2×	`associate-/l/_binary64` `pow1_binary64` `flip3--_binary64` `associate-/r/_binary64` `flip--_binary64`
1×	`flip3-+_binary64` `sub-neg_binary64` `diff-log_binary64` `cbrt-undiv_binary64` `div-sub_binary64` `clear-num_binary64` `frac-2neg_binary64` `div-inv_binary64` `div-exp_binary64` `flip-+_binary64`

Counts

2 → 43

Calls

2 calls:

4.0ms	(-.f64 (.f64 x x) (.f64 (*.f64 y 4.0) y))
9.0ms	(/.f64 (-.f64 (.f64 x x) (.f64 (.f64 y 4.0) y)) (+.f64 (.f64 x x) (.f64 (.f64 y 4.0) y)))

series26.0ms

Counts

2 → 6

Calls

2 calls:

9.0ms	(-.f64 (.f64 x x) (.f64 (*.f64 y 4.0) y))
17.0ms	(/.f64 (-.f64 (.f64 x x) (.f64 (.f64 y 4.0) y)) (+.f64 (.f64 x x) (.f64 (.f64 y 4.0) y)))

simplify35.0ms

Algorithm

egg-herbie

Counts

49 → 49

Iterations

Useful iterations: 0 (28.0ms)

Iter	Nodes	Cost
0	5551	1035

prune62.0ms

Filtered

41 candidates to 49 candidates (-19.5%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	46	3	49
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	46	4	50

Merged error: 0.3b

Counts

50 → 4

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b

(log.f64 (exp.f64 (/.f64 (-.f64 (*.f64 x x) (*.f64 y (*.f64 y 4.0))) (+.f64 (*.f64 x x) (*.f64 y (*.f64 y 4.0))))))

2.3b

(-.f64 (*.f64 x x) (*.f64 y (*.f64 y 4.0)))

28.3b

(/.f64 (-.f64 (*.f64 x x) (*.f64 y (*.f64 y 4.0))) (+.f64 (*.f64 x x) (*.f64 y (*.f64 y 4.0))))

rewrite26.0ms

Algorithm

rewrite-expression-head

Rules

19×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
18×	`times-frac_binary64`
16×	`log-pow_binary64`
15×	`exp-prod_binary64`
5×	`add-log-exp_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
4×	`pow1_binary64` `associate-/r/_binary64`
3×	`associate-/r_binary64` `log-prod_binary64` `associate-/l_binary64`
2×	`flip3-+_binary64` `associate-/l/_binary64` `flip3--_binary64` `div-sub_binary64` `div-inv_binary64` `flip--_binary64` `flip-+_binary64`
1×	`sub-neg_binary64` `diff-log_binary64` `cbrt-undiv_binary64` `rem-log-exp_binary64` `exp-diff_binary64` `clear-num_binary64` `frac-2neg_binary64` `div-exp_binary64` `log-div_binary64`

Counts

3 → 71

Calls

3 calls:

10.0ms

(log.f64 (exp.f64 (/.f64 (-.f64 (*.f64 x x) (*.f64 y (*.f64 y 4.0))) (+.f64 (*.f64 x x) (*.f64 y (*.f64 y 4.0))))))

5.0ms

(-.f64 (*.f64 x x) (*.f64 y (*.f64 y 4.0)))

10.0ms

(/.f64 (-.f64 (*.f64 x x) (*.f64 y (*.f64 y 4.0))) (+.f64 (*.f64 x x) (*.f64 y (*.f64 y 4.0))))

series39.0ms

Counts

3 → 9

Calls

3 calls:

14.0ms

(log.f64 (exp.f64 (/.f64 (-.f64 (*.f64 x x) (*.f64 y (*.f64 y 4.0))) (+.f64 (*.f64 x x) (*.f64 y (*.f64 y 4.0))))))

8.0ms

(-.f64 (*.f64 x x) (*.f64 y (*.f64 y 4.0)))

16.0ms

(/.f64 (-.f64 (*.f64 x x) (*.f64 y (*.f64 y 4.0))) (+.f64 (*.f64 x x) (*.f64 y (*.f64 y 4.0))))

simplify57.0ms

Algorithm

egg-herbie

Counts

80 → 80

Iterations

Useful iterations: 0 (46.0ms)

Iter	Nodes	Cost
0	4932	1656
1	4932	1656

prune87.0ms

Filtered

64 candidates to 80 candidates (-25.0%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	80	0	80
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	80	4	84

Merged error: 0.3b

Counts

84 → 4

localize0.0ms

rewrite0.0ms

Algorithm

rewrite-expression-head

Rules

Counts

0 → 0

series0.0ms

Counts: 0 → 0

simplify5.0ms

Algorithm

egg-herbie

Counts

0 → 0

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	0	0

prune2.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

	Kept	Total
New	0	0
Fresh	1	1
Picked	1	1
Done	2	2
Total	4	4

Merged error: 0.3b

Counts

4 → 4

localize0.0ms

rewrite0.0ms

Algorithm

rewrite-expression-head

Rules

Counts

0 → 0

series0.0ms

Counts: 0 → 0

simplify4.0ms

Algorithm

egg-herbie

Counts

0 → 0

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	0	0

prune0.0ms

Pruning

4 alts after pruning (0 fresh and 4 done)

	Kept	Total
New	0	0
Fresh	0	0
Picked	1	1
Done	3	3
Total	4	4

Merged error: 0.3b

Counts

4 → 4

regimes306.0ms

Accuracy

60.1% (12.5b remaining)

Error of 12.9b against oracle of 0.3b and baseline of 31.8b

bsearch0.0ms

simplify3.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	64	77
1	64	77

end0.0ms

sample459.0ms

Algorithm

intervals

Results

343.0ms

8000×

body

valid

Details

analyze11.0ms

sample17.0ms

simplify60.0ms

prune5.0ms

localize7.0ms

rewrite15.0ms

series26.0ms

simplify35.0ms

prune62.0ms

localize11.0ms

rewrite26.0ms

series39.0ms

simplify57.0ms

prune87.0ms

localize0.0ms

rewrite0.0ms

series0.0ms

simplify5.0ms

prune2.0ms

localize0.0ms

rewrite0.0ms

series0.0ms

simplify4.0ms

prune0.0ms

regimes306.0ms

bsearch0.0ms

simplify3.0ms

end0.0ms

sample459.0ms

Profiling