Details

sample89.0ms

Algorithm

intervals

Results

29.0ms	127×	body	320	valid
19.0ms	122×	body	160	valid
15.0ms	199×	body	80	nan
1.0ms	7×	body	80	valid

simplify120.0ms

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

prune5.0ms

Filtered

1 candidates to 0 candidates (100.0%)

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: 38.5b

Counts

2 → 1

localize21.0ms

Local error

Found 4 expressions with local error:

10.0b	(cbrt (* (/ 1.0 (* 2.0 a)) (+ (neg g) (sqrt (- (* g g) (* h h))))))
11.7b	(cbrt (* (/ 1.0 (* 2.0 a)) (- (neg g) (sqrt (- (* g g) (* h h))))))
29.6b	(sqrt (- (* g g) (* h h)))
29.6b	(sqrt (- (* g g) (* h h)))

rewrite35.0ms

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:

13.0ms	(cbrt (* (/ 1.0 (* 2.0 a)) (+ (neg g) (sqrt (- (* g g) (* h h))))))
12.0ms	(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)))

series152.0ms

Counts

4 → 12

Calls

4 calls:

67.0ms	(cbrt (* (/ 1.0 (* 2.0 a)) (+ (neg g) (sqrt (- (* g g) (* h h))))))
71.0ms	(cbrt (* (/ 1.0 (* 2.0 a)) (- (neg g) (sqrt (- (* g g) (* h h))))))
7.0ms	(sqrt (- (* g g) (* h h)))
7.0ms	(sqrt (- (* g g) (* h h)))

simplify43.0ms

Algorithm

egg-herbie

Counts

72 → 72

Iterations

Useful iterations: 2 (34.0ms)

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

prune306.0ms

Filtered

72 candidates to 64 candidates (11.1%)

Pruning

24 alts after pruning (24 fresh and 0 done)

	Pruned	Kept	Total
New	48	24	72
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	49	24	73

Merged error: 31.7b

Counts

73 → 24

localize20.0ms

Local error

Found 4 expressions with local error:

3.4b	(- (* g g) (* h h))
11.7b	(cbrt (* (/ 1.0 (* 2.0 a)) (- (neg g) (sqrt (- (* g g) (* h h))))))
29.6b	(sqrt (- (* g g) (* h h)))
29.6b	(sqrt (- (* g g) (* h h)))

rewrite29.0ms

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:

4.0ms	(- (* g g) (* h h))
15.0ms	(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)))

series88.0ms

Counts

4 → 12

Calls

4 calls:

6.0ms	(- (* g g) (* h h))
67.0ms	(cbrt (* (/ 1.0 (* 2.0 a)) (- (neg g) (sqrt (- (* g g) (* h h))))))
7.0ms	(sqrt (- (* g g) (* h h)))
7.0ms	(sqrt (- (* g g) (* h h)))

simplify40.0ms

Algorithm

egg-herbie

Counts

71 → 71

Iterations

Useful iterations: 2 (30.0ms)

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

prune270.0ms

Filtered

71 candidates to 59 candidates (16.9%)

Pruning

24 alts after pruning (24 fresh and 0 done)

	Pruned	Kept	Total
New	62	9	71
Fresh	8	15	23
Picked	1	0	1
Done	0	0	0
Total	71	24	95

Merged error: 31.1b

Counts

95 → 24

localize20.0ms

Local error

Found 4 expressions with local error:

3.4b	(- (* g g) (* h h))
3.4b	(- (* g g) (* h h))
29.6b	(sqrt (- (* g g) (* h h)))
29.6b	(sqrt (- (* g g) (* h h)))

rewrite18.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 58

Calls

4 calls:

4.0ms	(- (* g g) (* h h))
4.0ms	(- (* g g) (* h h))
4.0ms	(sqrt (- (* g g) (* h h)))
4.0ms	(sqrt (- (* g g) (* h h)))

series29.0ms

Counts

4 → 12

Calls

4 calls:

6.0ms	(- (* g g) (* h h))
6.0ms	(- (* g g) (* h h))
7.0ms	(sqrt (- (* g g) (* h h)))
9.0ms	(sqrt (- (* g g) (* h h)))

simplify49.0ms

Algorithm

egg-herbie

Counts

70 → 70

Iterations

Useful iterations: 3 (43.0ms)

Iter	Nodes	Cost
0	123	382
1	435	352
2	1477	352
3	5001	350

prune266.0ms

Filtered

70 candidates to 54 candidates (22.9%)

Pruning

25 alts after pruning (25 fresh and 0 done)

	Pruned	Kept	Total
New	66	4	70
Fresh	2	21	23
Picked	1	0	1
Done	0	0	0
Total	69	25	94

Merged error: 31.1b

Counts

94 → 25

localize23.0ms

Local error

Found 4 expressions with local error:

3.4b	(- (* g g) (* h h))
11.7b	(cbrt (* (/ 1.0 (* 2.0 a)) (- (neg g) (sqrt (- (* g g) (* h h))))))
29.6b	(sqrt (- (* g g) (* h h)))
29.6b	(sqrt (- (* g g) (* h h)))

rewrite29.0ms

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:

4.0ms	(- (* g g) (* h h))
15.0ms	(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)))

series91.0ms

Counts

4 → 12

Calls

4 calls:

8.0ms	(- (* g g) (* h h))
68.0ms	(cbrt (* (/ 1.0 (* 2.0 a)) (- (neg g) (sqrt (- (* g g) (* h h))))))
7.0ms	(sqrt (- (* g g) (* h h)))
8.0ms	(sqrt (- (* g g) (* h h)))

simplify39.0ms

Algorithm

egg-herbie

Counts

71 → 71

Iterations

Useful iterations: 2 (32.0ms)

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

prune154.0ms

Filtered

71 candidates to 59 candidates (16.9%)

Pruning

29 alts after pruning (29 fresh and 0 done)

	Pruned	Kept	Total
New	66	5	71
Fresh	0	24	24
Picked	1	0	1
Done	0	0	0
Total	67	29	96

Merged error: 31.1b

Counts

96 → 29

regimes1.5s

Accuracy

64.1% (1.1b remaining)

Error of 31.9b against oracle of 30.8b and baseline of 33.9b

bsearch208.0ms

Steps

Iters	Range		Point
9	5.3888688687602784e-250	2.017284958476313e-243	1.9923503212476646e-243

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	41	38
1	46	38
2	46	38

end0.0ms

sample2.7s

Algorithm

intervals

Results

871.0ms	3710×	body	320	valid
646.0ms	4135×	body	160	valid
616.0ms	7885×	body	80	nan
13.0ms	155×	body	80	valid

Details

sample89.0ms

simplify120.0ms

prune5.0ms

localize21.0ms

rewrite35.0ms

series152.0ms

simplify43.0ms

prune306.0ms

localize20.0ms

rewrite29.0ms

series88.0ms

simplify40.0ms

prune270.0ms

localize20.0ms

rewrite18.0ms

series29.0ms

simplify49.0ms

prune266.0ms

localize23.0ms

rewrite29.0ms

series91.0ms

simplify39.0ms

prune154.0ms

regimes1.5s

bsearch208.0ms

simplify2.0ms

end0.0ms

sample2.7s

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