Details

sample277.0ms

Algorithm

intervals

Results

30.0ms	127×	body	320	valid
20.0ms	127×	body	160	valid
19.0ms	246×	body	80	nan
0.0ms	2×	body	80	valid

simplify116.0ms

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: 37.4b

Counts

2 → 1

localize18.0ms

Local error

Found 4 expressions with local error:

9.0b	(cbrt (* (/ 1.0 (* 2.0 a)) (- (neg g) (sqrt (- (* g g) (* h h))))))
10.1b	(cbrt (* (/ 1.0 (* 2.0 a)) (+ (neg g) (sqrt (- (* g g) (* h h))))))
29.8b	(sqrt (- (* g g) (* h h)))
29.8b	(sqrt (- (* g g) (* h h)))

rewrite31.0ms

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)))

series144.0ms

Counts

4 → 12

Calls

4 calls:

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

simplify42.0ms

Algorithm

egg-herbie

Counts

72 → 72

Iterations

Useful iterations: 2 (34.0ms)

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

prune245.0ms

Filtered

64 candidates to 72 candidates (-12.5%)

Pruning

16 alts after pruning (16 fresh and 0 done)

	Pruned	Kept	Total
New	56	16	72
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	57	16	73

Merged error: 30.7b

Counts

73 → 16

localize23.0ms

Local error

Found 4 expressions with local error:

2.2b	(+ (neg g) (sqrt (- (* g g) (* h h))))
9.0b	(cbrt (* (/ 1.0 (* 2.0 a)) (- (neg g) (sqrt (- (* g g) (* h h))))))
29.8b	(sqrt (- (* g g) (* h h)))
29.8b	(sqrt (- (* g g) (* h h)))

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

10×	`*-un-lft-identity`
8×	`add-sqr-sqrt` `sqrt-prod` `add-log-exp`
6×	`pow1` `add-cube-cbrt`
5×	`cbrt-div`
4×	`add-exp-log` `flip3--` `sqrt-div` `add-cbrt-cube` `flip--`
2×	`frac-times` `rem-sqrt-square` `sqrt-pow1` `pow1/2` `associate-*r/` `sum-log` `distribute-lft-out` `difference-of-squares`
1×	`+-commutative` `cbrt-prod` `neg-sub0` `associate-+l-` `distribute-rgt-neg-in` `flip3-+` `pow1/3` `neg-log` `associate-*l/` `flip-+`

Counts

4 → 61

Calls

4 calls:

8.0ms	(+ (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)))

series90.0ms

Counts

4 → 12

Calls

4 calls:

8.0ms	(+ (neg g) (sqrt (- (* 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)))
7.0ms	(sqrt (- (* g g) (* h h)))

simplify121.0ms

Algorithm

egg-herbie

Counts

73 → 73

Iterations

Useful iterations: 2 (30.0ms)

Iter	Nodes	Cost
0	318	623
1	1140	584
2	4911	575
3	5001	575

prune241.0ms

Filtered

63 candidates to 73 candidates (-15.9%)

Pruning

18 alts after pruning (18 fresh and 0 done)

	Pruned	Kept	Total
New	68	5	73
Fresh	2	13	15
Picked	1	0	1
Done	0	0	0
Total	71	18	89

Merged error: 29.8b

Counts

89 → 18

localize21.0ms

Local error

Found 4 expressions with local error:

2.2b	(+ (neg g) (sqrt (- (* g g) (* h h))))
9.0b	(cbrt (* (/ 1.0 (* 2.0 a)) (- (neg g) (sqrt (- (* g g) (* h h))))))
29.8b	(sqrt (- (* g g) (* h h)))
29.8b	(sqrt (- (* g g) (* h h)))

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

10×	`*-un-lft-identity`
8×	`add-sqr-sqrt` `sqrt-prod` `add-log-exp`
6×	`pow1` `add-cube-cbrt`
5×	`cbrt-div`
4×	`add-exp-log` `flip3--` `sqrt-div` `add-cbrt-cube` `flip--`
2×	`frac-times` `rem-sqrt-square` `sqrt-pow1` `pow1/2` `associate-*r/` `sum-log` `distribute-lft-out` `difference-of-squares`
1×	`+-commutative` `cbrt-prod` `neg-sub0` `associate-+l-` `distribute-rgt-neg-in` `flip3-+` `pow1/3` `neg-log` `associate-*l/` `flip-+`

Counts

4 → 61

Calls

4 calls:

8.0ms	(+ (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)))

series89.0ms

Counts

4 → 12

Calls

4 calls:

8.0ms	(+ (neg g) (sqrt (- (* 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)))

simplify121.0ms

Algorithm

egg-herbie

Counts

73 → 73

Iterations

Useful iterations: 2 (30.0ms)

Iter	Nodes	Cost
0	318	623
1	1140	584
2	4911	575
3	5001	575

prune222.0ms

Filtered

63 candidates to 73 candidates (-15.9%)

Pruning

18 alts after pruning (18 fresh and 0 done)

	Pruned	Kept	Total
New	72	1	73
Fresh	0	17	17
Picked	1	0	1
Done	0	0	0
Total	73	18	91

Merged error: 29.8b

Counts

91 → 18

localize20.0ms

Local error

Found 4 expressions with local error:

2.2b	(+ (neg g) (sqrt (- (* g g) (* h h))))
10.1b	(cbrt (* (/ 1.0 (* 2.0 a)) (+ (neg g) (sqrt (- (* g g) (* h h))))))
29.8b	(sqrt (- (* g g) (* h h)))
29.8b	(sqrt (- (* g g) (* h h)))

rewrite30.0ms

Algorithm

rewrite-expression-head

Rules

10×	`*-un-lft-identity`
8×	`add-sqr-sqrt` `sqrt-prod` `add-log-exp`
6×	`pow1` `add-cube-cbrt`
5×	`cbrt-div`
4×	`add-exp-log` `sqrt-div` `add-cbrt-cube`
3×	`flip3-+` `flip-+`
2×	`frac-times` `rem-sqrt-square` `flip3--` `sqrt-pow1` `pow1/2` `associate-*r/` `sum-log` `flip--` `distribute-lft-out` `difference-of-squares`
1×	`+-commutative` `cbrt-prod` `neg-sub0` `associate-+l-` `distribute-rgt-neg-in` `pow1/3` `neg-log` `associate-*l/`

Counts

4 → 61

Calls

4 calls:

10.0ms	(+ (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)))

series84.0ms

Counts

4 → 12

Calls

4 calls:

8.0ms	(+ (neg g) (sqrt (- (* g g) (* h h))))
61.0ms	(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)))

simplify41.0ms

Algorithm

egg-herbie

Counts

73 → 73

Iterations

Useful iterations: 2 (31.0ms)

Iter	Nodes	Cost
0	331	623
1	1178	584
2	5001	574

prune143.0ms

Filtered

64 candidates to 73 candidates (-14.1%)

Pruning

20 alts after pruning (20 fresh and 0 done)

	Pruned	Kept	Total
New	69	4	73
Fresh	1	16	17
Picked	1	0	1
Done	0	0	0
Total	71	20	91

Merged error: 29.7b

Counts

91 → 20

regimes1.1s

Accuracy

81.2% (0.6b remaining)

Error of 32.2b against oracle of 31.6b and baseline of 35.0b

bsearch127.0ms

Steps

Iters	Range		Point
11	7.349802595259254e-163	6.5012542114282495e-139	1.335027141129708e-161

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	43	42
1	45	42
2	45	42

end0.0ms

sample2.8s

Algorithm

intervals

Results

882.0ms	3681×	body	320	valid
657.0ms	4177×	body	160	valid
647.0ms	8152×	body	80	nan
11.0ms	142×	body	80	valid

Details

sample277.0ms

simplify116.0ms

prune4.0ms

localize18.0ms

rewrite31.0ms

series144.0ms

simplify42.0ms

prune245.0ms

localize23.0ms

rewrite28.0ms

series90.0ms

simplify121.0ms

prune241.0ms

localize21.0ms

rewrite28.0ms

series89.0ms

simplify121.0ms

prune222.0ms

localize20.0ms

rewrite30.0ms

series84.0ms

simplify41.0ms

prune143.0ms

regimes1.1s

bsearch127.0ms

simplify2.0ms

end0.0ms

sample2.8s

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