Details

sample3.4s

Algorithm

intervals

sampling

Space saved by range analysis: 0%

Space saved by search: 0%

Guaranteed chance to sample good point: 38.916016%

Results

12.0ms	256×	body	80	valid
1.0ms	16×	body	80	invalid

simplify11.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	19	7
1	36	7
2	48	7
3	66	7
4	72	7
5	72	7

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: 27.7b

Counts

2 → 1

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (* c c) (* d d))
0.7b	(- (* b c) (* a d))
27.2b	(/ (- (* b c) (* a d)) (+ (* c c) (* d d)))

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

11×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
9×	`times-frac`
7×	`add-log-exp`
5×	`add-exp-log` `add-cbrt-cube`
3×	`pow1` `associate-/r` `associate-/l`
2×	`flip3--` `flip3-+` `associate-/r/` `flip--` `flip-+` `associate-/l/`
1×	`cbrt-undiv` `+-commutative` `sub-neg` `frac-2neg` `diff-log` `div-sub` `div-exp` `clear-num` `sum-log` `div-inv`

Counts

3 → 55

Calls

3 calls:

8.0ms	(+ (* c c) (* d d))
3.0ms	(- (* b c) (* a d))
8.0ms	(/ (- (* b c) (* a d)) (+ (* c c) (* d d)))

series42.0ms

Counts

3 → 9

Calls

3 calls:

6.0ms	(+ (* c c) (* d d))
10.0ms	(- (* b c) (* a d))
27.0ms	(/ (- (* b c) (* a d)) (+ (* c c) (* d d)))

simplify41.0ms

Algorithm

egg-herbie

Counts

64 → 64

Iterations

Useful iterations: 2 (33.0ms)

Iter	Nodes	Cost
0	292	541
1	1273	493
2	5001	491

prune119.0ms

Filtered

50 candidates to 64 candidates (-28.0%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	55	9	64
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	56	9	65

Merged error: 26.9b

Counts

65 → 9

localize12.0ms

Local error

Found 4 expressions with local error:

0.7b	(- (* b c) (* a d))
16.3b	(/ (- (* b c) (* a d)) (sqrt (+ (* c c) (* d d))))
30.7b	(sqrt (+ (* c c) (* d d)))
30.7b	(sqrt (+ (* c c) (* d d)))

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

23×	`add-sqr-sqrt`
21×	`add-cube-cbrt` `*-un-lft-identity`
18×	`times-frac` `sqrt-prod`
6×	`pow1` `add-exp-log` `sqrt-div` `associate-/r*` `add-cbrt-cube` `add-log-exp`
3×	`flip3-+` `flip-+` `associate-/l*`
2×	`rem-sqrt-square` `flip3--` `sqrt-pow1` `pow1/2` `associate-/r/` `flip--` `associate-/l/`
1×	`cbrt-undiv` `sub-neg` `frac-2neg` `diff-log` `div-sub` `div-exp` `clear-num` `div-inv`

Counts

4 → 86

Calls

4 calls:

3.0ms	(- (* b c) (* a d))
9.0ms	(/ (- (* b c) (* a d)) (sqrt (+ (* c c) (* d d))))
3.0ms	(sqrt (+ (* c c) (* d d)))
4.0ms	(sqrt (+ (* c c) (* d d)))

series58.0ms

Counts

4 → 12

Calls

4 calls:

10.0ms	(- (* b c) (* a d))
34.0ms	(/ (- (* b c) (* a d)) (sqrt (+ (* c c) (* d d))))
6.0ms	(sqrt (+ (* c c) (* d d)))
8.0ms	(sqrt (+ (* c c) (* d d)))

simplify103.0ms

Algorithm

egg-herbie

Counts

98 → 98

Iterations

Useful iterations: 2 (27.0ms)

Iter	Nodes	Cost
0	304	910
1	990	857
2	3340	845
3	5003	845

prune133.0ms

Filtered

75 candidates to 98 candidates (-30.7%)

Pruning

12 alts after pruning (11 fresh and 1 done)

	Pruned	Kept	Total
New	93	5	98
Fresh	2	6	8
Picked	0	1	1
Done	0	0	0
Total	95	12	107

Merged error: 24.2b

Counts

107 → 12

localize17.0ms

Local error

Found 4 expressions with local error:

0.7b	(- (* b c) (* a d))
16.3b	(/ (- (* b c) (* a d)) (sqrt (+ (* c c) (* d d))))
30.7b	(sqrt (+ (* c c) (* d d)))
30.7b	(sqrt (+ (* c c) (* d d)))

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

23×	`add-sqr-sqrt`
21×	`add-cube-cbrt` `*-un-lft-identity`
18×	`times-frac` `sqrt-prod`
6×	`pow1` `add-exp-log` `sqrt-div` `associate-/r*` `add-cbrt-cube` `add-log-exp`
3×	`flip3-+` `flip-+` `associate-/l*`
2×	`rem-sqrt-square` `flip3--` `sqrt-pow1` `pow1/2` `associate-/r/` `flip--` `associate-/l/`
1×	`cbrt-undiv` `sub-neg` `frac-2neg` `diff-log` `div-sub` `div-exp` `clear-num` `div-inv`

Counts

4 → 86

Calls

4 calls:

3.0ms	(- (* b c) (* a d))
9.0ms	(/ (- (* b c) (* a d)) (sqrt (+ (* c c) (* d d))))
3.0ms	(sqrt (+ (* c c) (* d d)))
4.0ms	(sqrt (+ (* c c) (* d d)))

series55.0ms

Counts

4 → 12

Calls

4 calls:

10.0ms	(- (* b c) (* a d))
34.0ms	(/ (- (* b c) (* a d)) (sqrt (+ (* c c) (* d d))))
6.0ms	(sqrt (+ (* c c) (* d d)))
6.0ms	(sqrt (+ (* c c) (* d d)))

simplify328.0ms

Algorithm

egg-herbie

Counts

98 → 98

Iterations

Useful iterations: 2 (27.0ms)

Iter	Nodes	Cost
0	304	910
1	990	857
2	3340	845
3	5003	845

prune131.0ms

Filtered

75 candidates to 98 candidates (-30.7%)

Pruning

13 alts after pruning (11 fresh and 2 done)

	Pruned	Kept	Total
New	97	1	98
Fresh	0	10	10
Picked	0	1	1
Done	0	1	1
Total	97	13	110

Merged error: 24.2b

Counts

110 → 13

localize18.0ms

Local error

Found 4 expressions with local error:

16.3b	(/ (- (* b c) (* a d)) (sqrt (+ (* c c) (* d d))))
30.7b	(sqrt (+ (* c c) (* d d)))
31.7b	(cbrt (+ (* c c) (* d d)))
31.7b	(cbrt (+ (* c c) (* d d)))

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

23×	`add-sqr-sqrt`
22×	`add-cube-cbrt` `*-un-lft-identity`
18×	`times-frac`
15×	`sqrt-prod`
6×	`add-exp-log` `cbrt-prod` `associate-/r*` `add-cbrt-cube`
5×	`pow1`
4×	`cbrt-div` `flip3-+` `sqrt-div` `flip-+` `add-log-exp`
3×	`associate-/l*`
2×	`pow1/3` `associate-/r/` `associate-/l/`
1×	`cbrt-undiv` `rem-sqrt-square` `flip3--` `frac-2neg` `sqrt-pow1` `pow1/2` `div-sub` `div-exp` `clear-num` `flip--` `div-inv`

Counts

4 → 85

Calls

4 calls:

9.0ms	(/ (- (* b c) (* a d)) (sqrt (+ (* c c) (* d d))))
3.0ms	(sqrt (+ (* c c) (* d d)))
4.0ms	(cbrt (+ (* c c) (* d d)))
4.0ms	(cbrt (+ (* c c) (* d d)))

series83.0ms

Counts

4 → 12

Calls

4 calls:

34.0ms	(/ (- (* b c) (* a d)) (sqrt (+ (* c c) (* d d))))
6.0ms	(sqrt (+ (* c c) (* d d)))
23.0ms	(cbrt (+ (* c c) (* d d)))
21.0ms	(cbrt (+ (* c c) (* d d)))

simplify145.0ms

Algorithm

egg-herbie

Counts

97 → 97

Iterations

Useful iterations: 3 (133.0ms)

Iter	Nodes	Cost
0	349	1012
1	1126	951
2	4369	928
3	5002	912

prune99.0ms

Filtered

77 candidates to 97 candidates (-26.0%)

Pruning

14 alts after pruning (11 fresh and 3 done)

	Pruned	Kept	Total
New	95	2	97
Fresh	1	9	10
Picked	0	1	1
Done	0	2	2
Total	96	14	110

Merged error: 24.2b

Counts

110 → 14

regimes563.0ms

Accuracy

19.2% (2.3b remaining)

Error of 26.1b against oracle of 23.7b and baseline of 26.6b

bsearch1.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	26
1	27	26
2	27	26

end0.0ms

sample4.2s

Algorithm

intervals

sampling

Space saved by range analysis: 0%

Space saved by search: 0%

Guaranteed chance to sample good point: 38.916016%

Results

416.0ms	8000×	body	80	valid
21.0ms	439×	body	80	invalid

Details

sample3.4s

simplify11.0ms

prune4.0ms

localize10.0ms

rewrite21.0ms

series42.0ms

simplify41.0ms

prune119.0ms

localize12.0ms

rewrite22.0ms

series58.0ms

simplify103.0ms

prune133.0ms

localize17.0ms

rewrite21.0ms

series55.0ms

simplify328.0ms

prune131.0ms

localize18.0ms

rewrite22.0ms

series83.0ms

simplify145.0ms

prune99.0ms

regimes563.0ms

bsearch1.0ms

simplify2.0ms

end0.0ms

sample4.2s

Profiling