Details

analyze423.0ms

Algorithm: search

sample68.0ms

Algorithm

intervals

Results

32.0ms	120×	body	320	valid
22.0ms	133×	body	160	valid
3.0ms	36×	body	80	nan
0.0ms	3×	body	80	valid

simplify118.0ms

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: 35.3b

Counts

2 → 1

localize18.0ms

Local error

Found 4 expressions with local error:

7.8b	(cbrt (* (/ 1.0 (* 2.0 a)) (- (neg g) (sqrt (- (* g g) (* h h))))))
9.1b	(cbrt (* (/ 1.0 (* 2.0 a)) (+ (neg g) (sqrt (- (* g g) (* h h))))))
28.2b	(sqrt (- (* g g) (* h h)))
28.2b	(sqrt (- (* g g) (* h h)))

rewrite32.0ms

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:

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

series143.0ms

Counts

4 → 12

Calls

4 calls:

65.0ms	(cbrt (* (/ 1.0 (* 2.0 a)) (- (neg g) (sqrt (- (* g g) (* h h))))))
64.0ms	(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

prune272.0ms

Filtered

64 candidates to 72 candidates (-12.5%)

Pruning

22 alts after pruning (22 fresh and 0 done)

	Pruned	Kept	Total
New	50	22	72
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	51	22	73

Merged error: 30.0b

Counts

73 → 22

localize22.0ms

Local error

Found 4 expressions with local error:

2.4b	(- (* g g) (* h h))
7.8b	(cbrt (* (/ 1.0 (* 2.0 a)) (- (neg g) (sqrt (- (* g g) (* h h))))))
28.2b	(sqrt (- (* g g) (* h h)))
28.2b	(sqrt (- (* g g) (* h h)))

rewrite27.0ms

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:

6.0ms	(- (* 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)))

series83.0ms

Counts

4 → 12

Calls

4 calls:

6.0ms	(- (* g g) (* h h))
63.0ms	(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

prune256.0ms

Filtered

59 candidates to 71 candidates (-20.3%)

Pruning

24 alts after pruning (24 fresh and 0 done)

	Pruned	Kept	Total
New	64	7	71
Fresh	4	17	21
Picked	1	0	1
Done	0	0	0
Total	69	24	93

Merged error: 29.6b

Counts

93 → 24

localize22.0ms

Local error

Found 4 expressions with local error:

2.4b	(- (* g g) (* h h))
2.4b	(- (* g g) (* h h))
28.2b	(sqrt (- (* g g) (* h h)))
28.2b	(sqrt (- (* g g) (* h h)))

rewrite17.0ms

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:

5.0ms	(- (* g g) (* h h))
3.0ms	(- (* g g) (* h h))
4.0ms	(sqrt (- (* g g) (* h h)))
4.0ms	(sqrt (- (* g g) (* h h)))

series25.0ms

Counts

4 → 12

Calls

4 calls:

5.0ms	(- (* g g) (* h h))
5.0ms	(- (* g g) (* h h))
7.0ms	(sqrt (- (* g g) (* h h)))
7.0ms	(sqrt (- (* g g) (* h h)))

simplify48.0ms

Algorithm

egg-herbie

Counts

70 → 70

Iterations

Useful iterations: 3 (42.0ms)

Iter	Nodes	Cost
0	123	378
1	439	350
2	1491	350
3	5003	348

prune251.0ms

Filtered

54 candidates to 70 candidates (-29.6%)

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: 29.6b

Counts

94 → 25

localize22.0ms

Local error

Found 4 expressions with local error:

2.4b	(- (* g g) (* h h))
7.8b	(cbrt (* (/ 1.0 (* 2.0 a)) (- (neg g) (sqrt (- (* g g) (* h h))))))
28.2b	(sqrt (- (* g g) (* h h)))
28.2b	(sqrt (- (* g g) (* h h)))

rewrite24.0ms

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))
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)))

series85.0ms

Counts

4 → 12

Calls

4 calls:

6.0ms	(- (* g g) (* h h))
66.0ms	(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)))

simplify37.0ms

Algorithm

egg-herbie

Counts

71 → 71

Iterations

Useful iterations: 2 (30.0ms)

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

prune130.0ms

Filtered

59 candidates to 71 candidates (-20.3%)

Pruning

25 alts after pruning (25 fresh and 0 done)

	Pruned	Kept	Total
New	70	1	71
Fresh	0	24	24
Picked	1	0	1
Done	0	0	0
Total	71	25	96

Merged error: 29.6b

Counts

96 → 25

regimes1.1s

Accuracy

71.5% (0.8b remaining)

Error of 31.7b against oracle of 30.9b and baseline of 33.7b

bsearch305.0ms

Steps

Iters	Range		Point
9	4.2957649794813956e-187	1.4415811002502252e-180	1.4212226027018796e-180

simplify3.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	44	38
1	49	38
2	53	38
3	56	38
4	56	38

end0.0ms

analyze414.0ms

Algorithm: search

sample1.9s

Algorithm

intervals

Results

923.0ms	3750×	body	320	valid
673.0ms	4099×	body	160	valid
101.0ms	1207×	body	80	nan
13.0ms	151×	body	80	valid

Details

analyze423.0ms

sample68.0ms

simplify118.0ms

prune4.0ms

localize18.0ms

rewrite32.0ms

series143.0ms

simplify43.0ms

prune272.0ms

localize22.0ms

rewrite27.0ms

series83.0ms

simplify40.0ms

prune256.0ms

localize22.0ms

rewrite17.0ms

series25.0ms

simplify48.0ms

prune251.0ms

localize22.0ms

rewrite24.0ms

series85.0ms

simplify37.0ms

prune130.0ms

regimes1.1s

bsearch305.0ms

simplify3.0ms

end0.0ms

analyze414.0ms

sample1.9s

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