Details

analyze432.0ms

Algorithm: search

sample68.0ms

Algorithm

intervals

Results

28.0ms	115×	body	320	valid
24.0ms	137×	body	160	valid
4.0ms	50×	body	80	nan
0.0ms	4×	body	80	valid

simplify113.0ms

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

localize17.0ms

Local error

Found 4 expressions with local error:

8.1b	(cbrt (* (/ 1.0 (* 2.0 a)) (- (neg g) (sqrt (- (* g g) (* h h))))))
8.2b	(cbrt (* (/ 1.0 (* 2.0 a)) (+ (neg g) (sqrt (- (* g g) (* h h))))))
28.6b	(sqrt (- (* g g) (* h h)))
28.6b	(sqrt (- (* g g) (* h h)))

rewrite34.0ms

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

series141.0ms

Counts

4 → 12

Calls

4 calls:

63.0ms	(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 (33.0ms)

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

prune263.0ms

Filtered

64 candidates to 72 candidates (-12.5%)

Pruning

19 alts after pruning (19 fresh and 0 done)

	Pruned	Kept	Total
New	53	19	72
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	54	19	73

Merged error: 30.9b

Counts

73 → 19

localize20.0ms

Local error

Found 4 expressions with local error:

2.0b	(+ (neg g) (sqrt (- (* g g) (* h h))))
8.2b	(cbrt (* (/ 1.0 (* 2.0 a)) (+ (neg g) (sqrt (- (* g g) (* h h))))))
28.6b	(sqrt (- (* g g) (* h h)))
28.6b	(sqrt (- (* g g) (* h h)))

rewrite29.0ms

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:

8.0ms	(+ (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)))

series86.0ms

Counts

4 → 12

Calls

4 calls:

8.0ms	(+ (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)))

simplify37.0ms

Algorithm

egg-herbie

Counts

73 → 73

Iterations

Useful iterations: 2 (29.0ms)

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

prune258.0ms

Filtered

64 candidates to 73 candidates (-14.1%)

Pruning

23 alts after pruning (23 fresh and 0 done)

	Pruned	Kept	Total
New	64	9	73
Fresh	4	14	18
Picked	1	0	1
Done	0	0	0
Total	69	23	92

Merged error: 29.8b

Counts

92 → 23

localize19.0ms

Local error

Found 4 expressions with local error:

1.8b	(- (* g g) (* h h))
2.0b	(+ (neg g) (sqrt (- (* g g) (* h h))))
28.6b	(sqrt (- (* g g) (* h h)))
28.6b	(sqrt (- (* g g) (* h h)))

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 60

Calls

4 calls:

4.0ms	(- (* g g) (* h h))
8.0ms	(+ (neg g) (sqrt (- (* g g) (* h h))))
4.0ms	(sqrt (- (* g g) (* h h)))
4.0ms	(sqrt (- (* g g) (* h h)))

series27.0ms

Counts

4 → 12

Calls

4 calls:

6.0ms	(- (* g g) (* h h))
8.0ms	(+ (neg g) (sqrt (- (* g g) (* h h))))
7.0ms	(sqrt (- (* g g) (* h h)))
7.0ms	(sqrt (- (* g g) (* h h)))

simplify112.0ms

Algorithm

egg-herbie

Counts

72 → 72

Iterations

Useful iterations: 3 (104.0ms)

Iter	Nodes	Cost
0	196	426
1	839	397
2	3625	387
3	5001	386

prune248.0ms

Filtered

58 candidates to 72 candidates (-24.1%)

Pruning

23 alts after pruning (23 fresh and 0 done)

	Pruned	Kept	Total
New	68	4	72
Fresh	3	19	22
Picked	1	0	1
Done	0	0	0
Total	72	23	95

Merged error: 29.8b

Counts

95 → 23

localize23.0ms

Local error

Found 4 expressions with local error:

2.0b	(+ (neg g) (sqrt (- (* g g) (* h h))))
3.0b	(exp (log (+ (neg g) (sqrt (- (* g g) (* h h))))))
28.6b	(sqrt (- (* g g) (* h h)))
28.6b	(sqrt (- (* g g) (* h h)))

rewrite26.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 66

Calls

4 calls:

8.0ms	(+ (neg g) (sqrt (- (* g g) (* h h))))
9.0ms	(exp (log (+ (neg g) (sqrt (- (* g g) (* h h))))))
4.0ms	(sqrt (- (* g g) (* h h)))
4.0ms	(sqrt (- (* g g) (* h h)))

series32.0ms

Counts

4 → 12

Calls

4 calls:

8.0ms	(+ (neg g) (sqrt (- (* g g) (* h h))))
8.0ms	(exp (log (+ (neg g) (sqrt (- (* g g) (* h h))))))
7.0ms	(sqrt (- (* g g) (* h h)))
9.0ms	(sqrt (- (* g g) (* h h)))

simplify71.0ms

Algorithm

egg-herbie

Counts

78 → 78

Iterations

Useful iterations: 3 (64.0ms)

Iter	Nodes	Cost
0	209	530
1	695	493
2	2451	466
3	5003	454

prune152.0ms

Filtered

63 candidates to 78 candidates (-23.8%)

Pruning

24 alts after pruning (23 fresh and 1 done)

	Pruned	Kept	Total
New	77	1	78
Fresh	0	22	22
Picked	0	1	1
Done	0	0	0
Total	77	24	101

Merged error: 29.7b

Counts

101 → 24

regimes994.0ms

Accuracy

56.7% (1.3b remaining)

Error of 32.0b against oracle of 30.7b and baseline of 33.6b

bsearch306.0ms

Steps

Iters	Range		Point
9	-5.028002377220663e-156	-1.6187242891905996e-164	-1.5496967584585937e-162

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	41	55
1	41	55

end0.0ms

analyze431.0ms

Algorithm: search

sample1.9s

Algorithm

intervals

Results

912.0ms	3705×	body	320	valid
682.0ms	4124×	body	160	valid
105.0ms	1285×	body	80	nan
14.0ms	171×	body	80	valid

Details

analyze432.0ms

sample68.0ms

simplify113.0ms

prune4.0ms

localize17.0ms

rewrite34.0ms

series141.0ms

simplify43.0ms

prune263.0ms

localize20.0ms

rewrite29.0ms

series86.0ms

simplify37.0ms

prune258.0ms

localize19.0ms

rewrite20.0ms

series27.0ms

simplify112.0ms

prune248.0ms

localize23.0ms

rewrite26.0ms

series32.0ms

simplify71.0ms

prune152.0ms

regimes994.0ms

bsearch306.0ms

simplify2.0ms

end0.0ms

analyze431.0ms

sample1.9s

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