Details

analyze427.0ms

Algorithm

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
0%	99.9%	0.1%	3
0%	99.9%	0.1%	4
0%	99.9%	0.1%	5
12.5%	68.6%	18.9%	6
18.7%	62.4%	18.9%	7
18.7%	59.3%	22%	8
28.1%	39%	32.9%	9
32.8%	34.3%	32.9%	10
32.8%	32%	35.3%	11
38.2%	20.7%	41.1%	12
41%	17.9%	41.1%	13
41%	16.6%	42.5%	14

sample97.0ms

Algorithm

intervals

Results

31.0ms	124×	body	320	valid
20.0ms	129×	body	160	valid
0.0ms	3×	body	80	valid

simplify106.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (104.0ms)

Iter	Nodes	Cost
0	4881	36
1	4881	36

prune12.0ms

Filtered

1 candidates to 1 candidates (0.0%)

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: 36.7b

Counts

2 → 2

localize18.0ms

Local error

Found 4 expressions with local error:

9.5b	(cbrt (* (/ 1.0 (* 2.0 a)) (- (neg g) (sqrt (- (* g g) (* h h))))))
10.5b	(cbrt (* (/ 1.0 (* 2.0 a)) (+ (neg g) (sqrt (- (* g g) (* h h))))))
31.5b	(sqrt (- (* g g) (* h h)))
31.5b	(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:

12.0ms	(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)))
6.0ms	(sqrt (- (* g g) (* h h)))

series139.0ms

Counts

4 → 12

Calls

4 calls:

63.0ms	(cbrt (* (/ 1.0 (* 2.0 a)) (- (neg g) (sqrt (- (* 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)))

simplify44.0ms

Algorithm

egg-herbie

Counts

72 → 72

Iterations

Useful iterations: 0 (35.0ms)

Iter	Nodes	Cost
0	5360	1068

prune256.0ms

Filtered

65 candidates to 72 candidates (-10.8%)

Pruning

17 alts after pruning (17 fresh and 0 done)

	Pruned	Kept	Total
New	55	17	72
Fresh	1	0	1
Picked	1	0	1
Done	0	0	0
Total	57	17	74

Merged error: 33.0b

Counts

74 → 17

localize22.0ms

Local error

Found 4 expressions with local error:

9.2b	(+ (neg g) (sqrt (- (* g g) (* h h))))
10.5b	(cbrt (* (/ 1.0 (* 2.0 a)) (+ (neg g) (sqrt (- (* g g) (* h h))))))
31.5b	(sqrt (- (* g g) (* h h)))
31.5b	(sqrt (- (* g g) (* h h)))

rewrite31.0ms

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))))
13.0ms	(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:

9.0ms	(+ (neg g) (sqrt (- (* g g) (* h h))))
62.0ms	(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)))

simplify39.0ms

Algorithm

egg-herbie

Counts

73 → 73

Iterations

Useful iterations: 0 (32.0ms)

Iter	Nodes	Cost
0	5423	893

prune235.0ms

Filtered

64 candidates to 73 candidates (-14.1%)

Pruning

18 alts after pruning (18 fresh and 0 done)

	Pruned	Kept	Total
New	66	7	73
Fresh	5	11	16
Picked	1	0	1
Done	0	0	0
Total	72	18	90

Merged error: 32.0b

Counts

90 → 18

localize20.0ms

Local error

Found 4 expressions with local error:

9.2b	(+ (neg g) (sqrt (- (* g g) (* h h))))
10.5b	(cbrt (* (/ 1.0 (* 2.0 a)) (+ (neg g) (sqrt (- (* g g) (* h h))))))
31.5b	(sqrt (- (* g g) (* h h)))
31.5b	(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:

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)))

series85.0ms

Counts

4 → 12

Calls

4 calls:

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

simplify38.0ms

Algorithm

egg-herbie

Counts

73 → 73

Iterations

Useful iterations: 0 (31.0ms)

Iter	Nodes	Cost
0	5423	893

prune221.0ms

Filtered

64 candidates to 73 candidates (-14.1%)

Pruning

19 alts after pruning (19 fresh and 0 done)

	Pruned	Kept	Total
New	69	4	73
Fresh	2	15	17
Picked	1	0	1
Done	0	0	0
Total	72	19	91

Merged error: 32.0b

Counts

91 → 19

localize31.0ms

Local error

Found 4 expressions with local error:

31.5b	(sqrt (- (* g g) (* h h)))
31.5b	(sqrt (- (* g g) (* h h)))
31.5b	(sqrt (- (* g g) (* h h)))
31.5b	(sqrt (- (* g g) (* h h)))

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 64

Calls

4 calls:

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

series26.0ms

Counts

4 → 12

Calls

4 calls:

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

simplify63.0ms

Algorithm

egg-herbie

Counts

76 → 76

Iterations

Useful iterations: 0 (56.0ms)

Iter	Nodes	Cost
0	4827	700
1	4827	700

prune150.0ms

Filtered

64 candidates to 76 candidates (-18.8%)

Pruning

19 alts after pruning (18 fresh and 1 done)

	Pruned	Kept	Total
New	75	1	76
Fresh	1	17	18
Picked	0	1	1
Done	0	0	0
Total	76	19	95

Merged error: 32.0b

Counts

95 → 19

regimes848.0ms

Accuracy

64.7% (1.2b remaining)

Error of 31.8b against oracle of 30.6b and baseline of 34.0b

bsearch108.0ms

Steps

Iters	Range		Point
10	-4.50162297351933e-199	-3.348195611444925e-215	-4.392140817029095e-199

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	121	71
1	121	71

end0.0ms

sample2.7s

Algorithm

intervals

Results

894.0ms	3802×	body	320	valid
629.0ms	4056×	body	160	valid
11.0ms	142×	body	80	valid

Details

analyze427.0ms

sample97.0ms

simplify106.0ms

prune12.0ms

localize18.0ms

rewrite35.0ms

series139.0ms

simplify44.0ms

prune256.0ms

localize22.0ms

rewrite31.0ms

series85.0ms

simplify39.0ms

prune235.0ms

localize20.0ms

rewrite30.0ms

series85.0ms

simplify38.0ms

prune221.0ms

localize31.0ms

rewrite19.0ms

series26.0ms

simplify63.0ms

prune150.0ms

regimes848.0ms

bsearch108.0ms

simplify2.0ms

end0.0ms

sample2.7s

Profiling