Details

sample2.7s

Algorithm

intervals

sampling

Space saved by range analysis: 0%

Space saved by search: 45.410156%

Guaranteed chance to sample good point: 83.184258%

Results

36.0ms	136×	body	320	valid
19.0ms	115×	body	160	valid
2.0ms	21×	body	80	nan
0.0ms	5×	body	80	valid

simplify114.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	43	21
1	122	21
2	299	21
3	591	21
4	931	21
5	1162	21
6	1388	21
7	2798	21
8	5001	21

prune4.0ms

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: 34.8b

Counts

2 → 1

localize18.0ms

Local error

Found 4 expressions with local error:

7.1b	(cbrt (* (/ 1.0 (* 2.0 a)) (- (neg g) (sqrt (- (* g g) (* h h))))))
7.2b	(cbrt (* (/ 1.0 (* 2.0 a)) (+ (neg g) (sqrt (- (* g g) (* h h))))))
27.7b	(sqrt (- (* g g) (* h h)))
27.7b	(sqrt (- (* g g) (* h h)))

rewrite33.0ms

Algorithm

rewrite-expression-head

Rules

10×	`cbrt-div`
8×	`add-sqr-sqrt` `sqrt-prod`
6×	`pow1` `add-cube-cbrt` `*-un-lft-identity`
4×	`add-exp-log` `frac-times` `flip3--` `sqrt-div` `associate-*r/` `add-cbrt-cube` `flip--` `add-log-exp`
2×	`cbrt-prod` `rem-sqrt-square` `sqrt-pow1` `flip3-+` `pow1/2` `pow1/3` `associate-*l/` `flip-+` `difference-of-squares`

Counts

4 → 60

Calls

4 calls:

11.0ms	(cbrt (* (/ 1.0 (* 2.0 a)) (- (neg g) (sqrt (- (* g g) (* h h))))))
13.0ms	(cbrt (* (/ 1.0 (* 2.0 a)) (+ (neg g) (sqrt (- (* g g) (* h h))))))
3.0ms	(sqrt (- (* g g) (* h h)))
4.0ms	(sqrt (- (* g g) (* h h)))

series135.0ms

Counts

4 → 12

Calls

4 calls:

61.0ms	(cbrt (* (/ 1.0 (* 2.0 a)) (- (neg g) (sqrt (- (* g g) (* h h))))))
61.0ms	(cbrt (* (/ 1.0 (* 2.0 a)) (+ (neg g) (sqrt (- (* g g) (* h h))))))
6.0ms	(sqrt (- (* g g) (* h h)))
7.0ms	(sqrt (- (* g g) (* h h)))

simplify42.0ms

Algorithm

egg-herbie

Counts

72 → 72

Iterations

Useful iterations: 2 (33.0ms)

Iter	Nodes	Cost
0	386	766
1	1391	724
2	5002	718

prune264.0ms

Filtered

64 candidates to 72 candidates (-12.5%)

Pruning

20 alts after pruning (20 fresh and 0 done)

	Pruned	Kept	Total
New	52	20	72
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	53	20	73

Merged error: 29.8b

Counts

73 → 20

localize22.0ms

Local error

Found 4 expressions with local error:

3.6b	(- (* g g) (* h h))
7.2b	(cbrt (* (/ 1.0 (* 2.0 a)) (+ (neg g) (sqrt (- (* g g) (* h h))))))
27.7b	(sqrt (- (* g g) (* h h)))
27.7b	(sqrt (- (* g g) (* h h)))

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

8×	`add-sqr-sqrt` `sqrt-prod`
6×	`pow1` `add-cube-cbrt` `*-un-lft-identity` `add-log-exp`
5×	`cbrt-div`
4×	`add-exp-log` `sqrt-div` `add-cbrt-cube`
3×	`flip3--` `flip--` `difference-of-squares`
2×	`frac-times` `rem-sqrt-square` `sqrt-pow1` `flip3-+` `pow1/2` `associate-*r/` `flip-+`
1×	`cbrt-prod` `sub-neg` `pow1/3` `diff-log` `associate-*l/`

Counts

4 → 59

Calls

4 calls:

3.0ms	(- (* g g) (* h h))
11.0ms	(cbrt (* (/ 1.0 (* 2.0 a)) (+ (neg g) (sqrt (- (* g g) (* h h))))))
3.0ms	(sqrt (- (* g g) (* h h)))
4.0ms	(sqrt (- (* g g) (* h h)))

series80.0ms

Counts

4 → 12

Calls

4 calls:

6.0ms	(- (* g g) (* h h))
61.0ms	(cbrt (* (/ 1.0 (* 2.0 a)) (+ (neg g) (sqrt (- (* g g) (* h h))))))
6.0ms	(sqrt (- (* g g) (* h h)))
6.0ms	(sqrt (- (* g g) (* h h)))

simplify39.0ms

Algorithm

egg-herbie

Counts

71 → 71

Iterations

Useful iterations: 2 (31.0ms)

Iter	Nodes	Cost
0	321	569
1	1271	537
2	5002	533

prune238.0ms

Filtered

59 candidates to 71 candidates (-20.3%)

Pruning

21 alts after pruning (21 fresh and 0 done)

	Pruned	Kept	Total
New	67	4	71
Fresh	2	17	19
Picked	1	0	1
Done	0	0	0
Total	70	21	91

Merged error: 29.8b

Counts

91 → 21

localize20.0ms

Local error

Found 4 expressions with local error:

3.6b	(- (* g g) (* h h))
7.2b	(cbrt (* (/ 1.0 (* 2.0 a)) (+ (neg g) (sqrt (- (* g g) (* h h))))))
27.7b	(sqrt (- (* g g) (* h h)))
27.7b	(sqrt (- (* g g) (* h h)))

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

8×	`add-sqr-sqrt` `sqrt-prod`
6×	`pow1` `add-cube-cbrt` `*-un-lft-identity` `add-log-exp`
5×	`cbrt-div`
4×	`add-exp-log` `sqrt-div` `add-cbrt-cube`
3×	`flip3--` `flip--` `difference-of-squares`
2×	`frac-times` `rem-sqrt-square` `sqrt-pow1` `flip3-+` `pow1/2` `associate-*r/` `flip-+`
1×	`cbrt-prod` `sub-neg` `pow1/3` `diff-log` `associate-*l/`

Counts

4 → 59

Calls

4 calls:

4.0ms	(- (* g g) (* h h))
11.0ms	(cbrt (* (/ 1.0 (* 2.0 a)) (+ (neg g) (sqrt (- (* g g) (* h h))))))
3.0ms	(sqrt (- (* g g) (* h h)))
4.0ms	(sqrt (- (* g g) (* h h)))

series81.0ms

Counts

4 → 12

Calls

4 calls:

6.0ms	(- (* g g) (* h h))
60.0ms	(cbrt (* (/ 1.0 (* 2.0 a)) (+ (neg g) (sqrt (- (* g g) (* h h))))))
8.0ms	(sqrt (- (* g g) (* h h)))
7.0ms	(sqrt (- (* g g) (* h h)))

simplify54.0ms

Algorithm

egg-herbie

Counts

71 → 71

Iterations

Useful iterations: 2 (44.0ms)

Iter	Nodes	Cost
0	321	569
1	1271	537
2	5002	533

prune244.0ms

Filtered

59 candidates to 71 candidates (-20.3%)

Pruning

21 alts after pruning (21 fresh and 0 done)

	Pruned	Kept	Total
New	68	3	71
Fresh	2	18	20
Picked	1	0	1
Done	0	0	0
Total	71	21	92

Merged error: 29.8b

Counts

92 → 21

localize19.0ms

Local error

Found 4 expressions with local error:

3.6b	(- (* g g) (* h h))
7.1b	(cbrt (* (/ 1.0 (* 2.0 a)) (- (neg g) (sqrt (- (* g g) (* h h))))))
27.7b	(sqrt (- (* g g) (* h h)))
27.7b	(sqrt (- (* g g) (* h h)))

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

8×	`add-sqr-sqrt` `sqrt-prod`
6×	`pow1` `add-cube-cbrt` `*-un-lft-identity` `add-log-exp`
5×	`cbrt-div` `flip3--` `flip--`
4×	`add-exp-log` `sqrt-div` `add-cbrt-cube`
3×	`difference-of-squares`
2×	`frac-times` `rem-sqrt-square` `sqrt-pow1` `pow1/2` `associate-*r/`
1×	`cbrt-prod` `sub-neg` `pow1/3` `diff-log` `associate-*l/`

Counts

4 → 59

Calls

4 calls:

3.0ms	(- (* g g) (* h h))
11.0ms	(cbrt (* (/ 1.0 (* 2.0 a)) (- (neg g) (sqrt (- (* g g) (* h h))))))
4.0ms	(sqrt (- (* g g) (* h h)))
4.0ms	(sqrt (- (* g g) (* h h)))

series81.0ms

Counts

4 → 12

Calls

4 calls:

5.0ms	(- (* g g) (* h h))
63.0ms	(cbrt (* (/ 1.0 (* 2.0 a)) (- (neg g) (sqrt (- (* g g) (* h h))))))
6.0ms	(sqrt (- (* g g) (* h h)))
7.0ms	(sqrt (- (* g g) (* h h)))

simplify35.0ms

Algorithm

egg-herbie

Counts

71 → 71

Iterations

Useful iterations: 2 (28.0ms)

Iter	Nodes	Cost
0	298	569
1	1198	537
2	5002	533

prune132.0ms

Filtered

59 candidates to 71 candidates (-20.3%)

Pruning

22 alts after pruning (22 fresh and 0 done)

	Pruned	Kept	Total
New	67	4	71
Fresh	2	18	20
Picked	1	0	1
Done	0	0	0
Total	70	22	92

Merged error: 29.8b

Counts

92 → 22

regimes1.0s

Accuracy

76.7% (0.8b remaining)

Error of 31.9b against oracle of 31.1b and baseline of 34.4b

bsearch115.0ms

Steps

Iters	Range		Point
8	-2.031455930135948e-159	-1.3229742439565185e-163	-4.147186697393463e-162

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	42	37
1	44	37
2	44	37

end0.0ms

sample4.8s

Algorithm

intervals

sampling

Space saved by range analysis: 0%

Space saved by search: 45.410156%

Guaranteed chance to sample good point: 83.184258%

Results

963.0ms	3790×	body	320	valid
680.0ms	4059×	body	160	valid
65.0ms	748×	body	80	nan
13.0ms	151×	body	80	valid

Details

sample2.7s

simplify114.0ms

prune4.0ms

localize18.0ms

rewrite33.0ms

series135.0ms

simplify42.0ms

prune264.0ms

localize22.0ms

rewrite23.0ms

series80.0ms

simplify39.0ms

prune238.0ms

localize20.0ms

rewrite23.0ms

series81.0ms

simplify54.0ms

prune244.0ms

localize19.0ms

rewrite23.0ms

series81.0ms

simplify35.0ms

prune132.0ms

regimes1.0s

bsearch115.0ms

simplify2.0ms

end0.0ms

sample4.8s

Profiling