Details

sample2.0s

Algorithm

intervals

sampling

Space saved by range analysis: 0%

Space saved by search: 25.292969%

Guaranteed chance to sample good point: 62.826797%

Results

13.0ms	41×	body	2560	valid
9.0ms	165×	body	80	valid
7.0ms	29×	body	1280	valid
5.0ms	5×	body	320	valid
2.0ms	11×	body	640	valid
1.0ms	3×	body	5120	valid
1.0ms	13×	body	80	invalid
1.0ms	12×	body	80	nan
0.0ms	2×	body	160	valid

simplify10.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	21	9
1	42	9
2	76	9
3	94	9
4	102	9
5	102	9

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: 31.7b

Counts

2 → 1

localize11.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (* 3.0 a) c)
0.4b	(+ (neg b) (sqrt (- (* b b) (* (* 3.0 a) c))))
0.8b	(- (* b b) (* (* 3.0 a) c))
20.0b	(sqrt (- (* b b) (* (* 3.0 a) c)))

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

10×	`pow1` `*-un-lft-identity` `add-log-exp`
9×	`add-exp-log` `add-cbrt-cube`
7×	`add-sqr-sqrt`
6×	`add-cube-cbrt`
3×	`associate-r` `pow-prod-down` `prod-exp` `sqrt-prod` `cbrt-unprod`
2×	`flip3--` `sqrt-div` `sum-log` `flip--` `distribute-lft-out`
1×	`+-commutative` `neg-sub0` `associate-+l-` `sub-neg` `rem-sqrt-square` `distribute-rgt-neg-in` `sqrt-pow1` `flip3-+` `pow1/2` `diff-log` `associate-l` `neg-log` `*-commutative` `flip-+`

Counts

4 → 60

Calls

4 calls:

5.0ms	(* (* 3.0 a) c)
8.0ms	(+ (neg b) (sqrt (- (* b b) (* (* 3.0 a) c))))
4.0ms	(- (* b b) (* (* 3.0 a) c))
4.0ms	(sqrt (- (* b b) (* (* 3.0 a) c)))

series46.0ms

Counts

4 → 12

Calls

4 calls:

4.0ms	(* (* 3.0 a) c)
15.0ms	(+ (neg b) (sqrt (- (* b b) (* (* 3.0 a) c))))
11.0ms	(- (* b b) (* (* 3.0 a) c))
15.0ms	(sqrt (- (* b b) (* (* 3.0 a) c)))

simplify41.0ms

Algorithm

egg-herbie

Counts

72 → 72

Iterations

Useful iterations: 2 (35.0ms)

Iter	Nodes	Cost
0	302	468
1	1299	428
2	5002	417

prune142.0ms

Filtered

52 candidates to 72 candidates (-38.5%)

Pruning

11 alts after pruning (10 fresh and 1 done)

	Pruned	Kept	Total
New	62	10	72
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	62	11	73

Merged error: 13.1b

Counts

73 → 11

localize17.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt c)
0.6b	(cbrt c)
0.8b	(- (* b b) (* (* (* 3.0 a) (* (cbrt c) (cbrt c))) (cbrt c)))
20.0b	(sqrt (- (* b b) (* (* (* 3.0 a) (* (cbrt c) (cbrt c))) (cbrt c))))

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

8×	`add-sqr-sqrt`
7×	`add-cube-cbrt` `*-un-lft-identity`
6×	`cbrt-prod` `add-log-exp`
5×	`pow1`
4×	`add-exp-log` `add-cbrt-cube`
3×	`sqrt-prod`
2×	`flip3--` `pow1/3` `sqrt-div` `flip--`
1×	`sub-neg` `rem-sqrt-square` `sqrt-pow1` `pow1/2` `diff-log`

Counts

4 → 49

Calls

4 calls:

1.0ms	(cbrt c)
1.0ms	(cbrt c)
3.0ms	(- (* b b) (* (* (* 3.0 a) (* (cbrt c) (cbrt c))) (cbrt c)))
4.0ms	(sqrt (- (* b b) (* (* (* 3.0 a) (* (cbrt c) (cbrt c))) (cbrt c))))

series80.0ms

Counts

4 → 12

Calls

4 calls:

26.0ms	(cbrt c)
24.0ms	(cbrt c)
12.0ms	(- (* b b) (* (* (* 3.0 a) (* (cbrt c) (cbrt c))) (cbrt c)))
18.0ms	(sqrt (- (* b b) (* (* (* 3.0 a) (* (cbrt c) (cbrt c))) (cbrt c))))

simplify145.0ms

Algorithm

egg-herbie

Counts

61 → 61

Iterations

Useful iterations: 3 (139.0ms)

Iter	Nodes	Cost
0	209	539
1	711	474
2	3898	441
3	5001	438

prune122.0ms

Filtered

48 candidates to 61 candidates (-27.1%)

Pruning

12 alts after pruning (10 fresh and 2 done)

	Pruned	Kept	Total
New	60	1	61
Fresh	0	9	9
Picked	0	1	1
Done	0	1	1
Total	60	12	72

Merged error: 13.1b

Counts

72 → 12

localize19.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (cbrt c))
0.6b	(cbrt (cbrt c))
0.8b	(- (* b b) (* (* (* 3.0 a) (* (cbrt c) (cbrt c))) (* (* (cbrt (cbrt c)) (cbrt (cbrt c))) (cbrt (cbrt c)))))
20.0b	(sqrt (- (* b b) (* (* (* 3.0 a) (* (cbrt c) (cbrt c))) (* (* (cbrt (cbrt c)) (cbrt (cbrt c))) (cbrt (cbrt c))))))

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

18×	`cbrt-prod`
10×	`add-sqr-sqrt`
9×	`add-cube-cbrt` `*-un-lft-identity`
6×	`add-log-exp`
5×	`pow1`
4×	`add-exp-log` `add-cbrt-cube`
3×	`sqrt-prod`
2×	`flip3--` `pow1/3` `sqrt-div` `flip--`
1×	`sub-neg` `rem-sqrt-square` `sqrt-pow1` `pow1/2` `diff-log`

Counts

4 → 55

Calls

4 calls:

2.0ms	(cbrt (cbrt c))
2.0ms	(cbrt (cbrt c))
3.0ms	(- (* b b) (* (* (* 3.0 a) (* (cbrt c) (cbrt c))) (* (* (cbrt (cbrt c)) (cbrt (cbrt c))) (cbrt (cbrt c)))))
4.0ms	(sqrt (- (* b b) (* (* (* 3.0 a) (* (cbrt c) (cbrt c))) (* (* (cbrt (cbrt c)) (cbrt (cbrt c))) (cbrt (cbrt c))))))

series98.0ms

Counts

4 → 12

Calls

4 calls:

32.0ms	(cbrt (cbrt c))
32.0ms	(cbrt (cbrt c))
15.0ms	(- (* b b) (* (* (* 3.0 a) (* (cbrt c) (cbrt c))) (* (* (cbrt (cbrt c)) (cbrt (cbrt c))) (cbrt (cbrt c)))))
18.0ms	(sqrt (- (* b b) (* (* (* 3.0 a) (* (cbrt c) (cbrt c))) (* (* (cbrt (cbrt c)) (cbrt (cbrt c))) (cbrt (cbrt c))))))

simplify45.0ms

Algorithm

egg-herbie

Counts

67 → 67

Iterations

Useful iterations: 2 (34.0ms)

Iter	Nodes	Cost
0	227	889
1	836	812
2	5001	763

prune173.0ms

Filtered

57 candidates to 67 candidates (-17.5%)

Pruning

12 alts after pruning (9 fresh and 3 done)

	Pruned	Kept	Total
New	67	0	67
Fresh	0	9	9
Picked	0	1	1
Done	0	2	2
Total	67	12	79

Merged error: 13.1b

Counts

79 → 12

localize16.0ms

Local error

Found 4 expressions with local error:

0.8b	(- (* b b) (* (* 3.0 a) c))
20.0b	(sqrt (- (* b b) (* (* 3.0 a) c)))
20.0b	(sqrt (- (* b b) (* (* 3.0 a) c)))
20.0b	(sqrt (- (* b b) (* (* 3.0 a) c)))

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

10×	`add-sqr-sqrt`
9×	`sqrt-prod`
7×	`pow1` `add-cube-cbrt` `*-un-lft-identity`
6×	`sqrt-div` `add-log-exp`
4×	`add-exp-log` `flip3--` `add-cbrt-cube` `flip--`
3×	`rem-sqrt-square` `sqrt-pow1` `pow1/2`
1×	`sub-neg` `diff-log`

Counts

4 → 57

Calls

4 calls:

4.0ms	(- (* b b) (* (* 3.0 a) c))
4.0ms	(sqrt (- (* b b) (* (* 3.0 a) c)))
4.0ms	(sqrt (- (* b b) (* (* 3.0 a) c)))
4.0ms	(sqrt (- (* b b) (* (* 3.0 a) c)))

series55.0ms

Counts

4 → 12

Calls

4 calls:

9.0ms	(- (* b b) (* (* 3.0 a) c))
15.0ms	(sqrt (- (* b b) (* (* 3.0 a) c)))
16.0ms	(sqrt (- (* b b) (* (* 3.0 a) c)))
15.0ms	(sqrt (- (* b b) (* (* 3.0 a) c)))

simplify79.0ms

Algorithm

egg-herbie

Counts

69 → 69

Iterations

Useful iterations: 3 (73.0ms)

Iter	Nodes	Cost
0	147	505
1	570	483
2	2550	480
3	5001	477

prune173.0ms

Filtered

55 candidates to 69 candidates (-25.5%)

Pruning

12 alts after pruning (8 fresh and 4 done)

	Pruned	Kept	Total
New	69	0	69
Fresh	0	8	8
Picked	0	1	1
Done	0	3	3
Total	69	12	81

Merged error: 13.1b

Counts

81 → 12

regimes674.0ms

Accuracy

96.2% (0.8b remaining)

Error of 13.2b against oracle of 12.3b and baseline of 33.7b

bsearch96.0ms

Steps

Iters	Range		Point
5	9.699084025794829e+124	2.8559420473586683e+125	2.163078221122003e+125
6	8.129937872566042e-83	1.258223232970546e-81	8.33376171781273e-83
11	-2.383931836018594e+188	-1.9392961947131683e+155	-1.9680769388225748e+155

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	47	34
1	49	34
2	49	34

end0.0ms

sample3.3s

Algorithm

intervals

sampling

Space saved by range analysis: 0%

Space saved by search: 25.292969%

Guaranteed chance to sample good point: 62.826797%

Results

327.0ms	1048×	body	2560	valid
280.0ms	5167×	body	80	valid
229.0ms	893×	body	1280	valid
88.0ms	429×	body	640	valid
44.0ms	119×	body	5120	valid
36.0ms	243×	body	320	valid
22.0ms	389×	body	80	nan
18.0ms	334×	body	80	invalid
10.0ms	101×	body	160	valid

Details

sample2.0s

simplify10.0ms

prune4.0ms

localize11.0ms

rewrite22.0ms

series46.0ms

simplify41.0ms

prune142.0ms

localize17.0ms

rewrite11.0ms

series80.0ms

simplify145.0ms

prune122.0ms

localize19.0ms

rewrite12.0ms

series98.0ms

simplify45.0ms

prune173.0ms

localize16.0ms

rewrite16.0ms

series55.0ms

simplify79.0ms

prune173.0ms

regimes674.0ms

bsearch96.0ms

simplify2.0ms

end0.0ms

sample3.3s

Profiling