Details

sample96.0ms

Algorithm

intervals

Results

29.0ms	109×	body	320	valid
23.0ms	146×	body	160	valid
20.0ms	259×	body	80	nan
0.0ms	1×	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: 36.1b

Counts

2 → 1

localize17.0ms

Local error

Found 4 expressions with local error:

6.4b	(cbrt (* (/ 1.0 (* 2.0 a)) (+ (neg g) (sqrt (- (* g g) (* h h))))))
7.7b	(cbrt (* (/ 1.0 (* 2.0 a)) (- (neg g) (sqrt (- (* g g) (* h h))))))
30.9b	(sqrt (- (* g g) (* h h)))
30.9b	(sqrt (- (* g g) (* h h)))

rewrite36.0ms

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))))))
14.0ms	(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:

62.0ms	(cbrt (* (/ 1.0 (* 2.0 a)) (+ (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)))

simplify40.0ms

Algorithm

egg-herbie

Counts

72 → 72

Iterations

Useful iterations: 2 (32.0ms)

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

prune267.0ms

Filtered

64 candidates to 72 candidates (-12.5%)

Pruning

23 alts after pruning (23 fresh and 0 done)

	Pruned	Kept	Total
New	49	23	72
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	50	23	73

Merged error: 31.9b

Counts

73 → 23

localize22.0ms

Local error

Found 4 expressions with local error:

2.4b	(- (* g g) (* h h))
6.4b	(cbrt (* (/ 1.0 (* 2.0 a)) (+ (neg g) (sqrt (- (* g g) (* h h))))))
30.9b	(sqrt (- (* g g) (* h h)))
30.9b	(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`
4×	`add-exp-log` `sqrt-div` `add-cbrt-cube`
3×	`flip3--` `flip--` `difference-of-squares`
2×	`frac-times` `rem-sqrt-square` `sqrt-pow1` `flip3-+` `pow1/2` `associate-*r/` `flip-+`
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)))

series84.0ms

Counts

4 → 12

Calls

4 calls:

6.0ms	(- (* 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)))

simplify35.0ms

Algorithm

egg-herbie

Counts

71 → 71

Iterations

Useful iterations: 2 (29.0ms)

Iter	Nodes	Cost
0	321	575
1	1264	541
2	5001	537

prune260.0ms

Filtered

59 candidates to 71 candidates (-20.3%)

Pruning

26 alts after pruning (26 fresh and 0 done)

	Pruned	Kept	Total
New	66	5	71
Fresh	1	21	22
Picked	1	0	1
Done	0	0	0
Total	68	26	94

Merged error: 31.3b

Counts

94 → 26

localize20.0ms

Local error

Found 4 expressions with local error:

2.4b	(- (* g g) (* h h))
6.4b	(cbrt (* (/ 1.0 (* 2.0 a)) (+ (neg g) (sqrt (- (* g g) (* h h))))))
30.9b	(sqrt (- (* g g) (* h h)))
30.9b	(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`
4×	`add-exp-log` `sqrt-div` `add-cbrt-cube`
3×	`flip3--` `flip--` `difference-of-squares`
2×	`frac-times` `rem-sqrt-square` `sqrt-pow1` `flip3-+` `pow1/2` `associate-*r/` `flip-+`
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)))

series86.0ms

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)))

simplify36.0ms

Algorithm

egg-herbie

Counts

71 → 71

Iterations

Useful iterations: 2 (30.0ms)

Iter	Nodes	Cost
0	321	569
1	1271	537
2	5002	533

prune244.0ms

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	1	24	25
Picked	1	0	1
Done	0	0	0
Total	72	25	97

Merged error: 31.3b

Counts

97 → 25

localize19.0ms

Local error

Found 4 expressions with local error:

2.4b	(- (* g g) (* h h))
7.7b	(cbrt (* (/ 1.0 (* 2.0 a)) (- (neg g) (sqrt (- (* g g) (* h h))))))
30.9b	(sqrt (- (* g g) (* h h)))
30.9b	(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:

4.0ms	(- (* 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)))
6.0ms	(sqrt (- (* g g) (* h h)))

series86.0ms

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)))

simplify35.0ms

Algorithm

egg-herbie

Counts

71 → 71

Iterations

Useful iterations: 2 (28.0ms)

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

prune135.0ms

Filtered

59 candidates to 71 candidates (-20.3%)

Pruning

25 alts after pruning (24 fresh and 1 done)

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

Merged error: 31.3b

Counts

96 → 25

regimes1.1s

Accuracy

80.9% (0.6b remaining)

Error of 31.9b against oracle of 31.3b and baseline of 34.6b

bsearch110.0ms

Steps

Iters	Range		Point
10	-1.0889569726148722e-156	-2.223897319109311e-167	-3.369228499943006e-160

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	39	40
1	39	40

end0.0ms

sample2.7s

Algorithm

intervals

Results

893.0ms	3814×	body	320	valid
633.0ms	4042×	body	160	valid
629.0ms	8103×	body	80	nan
12.0ms	144×	body	80	valid

Details

sample96.0ms

simplify116.0ms

prune4.0ms

localize17.0ms

rewrite36.0ms

series143.0ms

simplify40.0ms

prune267.0ms

localize22.0ms

rewrite24.0ms

series84.0ms

simplify35.0ms

prune260.0ms

localize20.0ms

rewrite24.0ms

series86.0ms

simplify36.0ms

prune244.0ms

localize19.0ms

rewrite27.0ms

series86.0ms

simplify35.0ms

prune135.0ms

regimes1.1s

bsearch110.0ms

simplify1.0ms

end0.0ms

sample2.7s

Profiling