Details

sample3.5s

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	15×	body	80	invalid

simplify4.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	15	7
1	15	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: 28.6b

Counts

2 → 1

localize10.0ms

Local error

Found 2 expressions with local error:

0.2b	(+ (* a c) (* b d))
27.9b	(/ (+ (* a c) (* b d)) (+ (* c c) (* d d)))

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 42

Calls

2 calls:

4.0ms	(+ (* a c) (* b d))
8.0ms	(/ (+ (* a c) (* b d)) (+ (* c c) (* d d)))

series40.0ms

Counts

2 → 6

Calls

2 calls:

14.0ms	(+ (* a c) (* b d))
26.0ms	(/ (+ (* a c) (* b d)) (+ (* c c) (* d d)))

simplify89.0ms

Algorithm

egg-herbie

Counts

48 → 48

Iterations

Useful iterations: 2 (24.0ms)

Iter	Nodes	Cost
0	231	450
1	847	413
2	2837	412
3	5001	412

prune91.0ms

Filtered

38 candidates to 48 candidates (-26.3%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	42	6	48
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	42	7	49

Merged error: 27.7b

Counts

49 → 7

localize13.0ms

Local error

Found 4 expressions with local error:

0.2b	(+ (* a c) (* b d))
18.3b	(/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))
32.5b	(sqrt (+ (* c c) (* d d)))
32.5b	(sqrt (+ (* c c) (* d d)))

rewrite26.0ms

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`
5×	`flip3-+` `flip-+`
3×	`associate-/l*`
2×	`rem-sqrt-square` `sqrt-pow1` `pow1/2` `associate-/r/` `associate-/l/`
1×	`cbrt-undiv` `+-commutative` `frac-2neg` `div-exp` `clear-num` `sum-log` `div-inv`

Counts

4 → 84

Calls

4 calls:

4.0ms	(+ (* a c) (* b d))
12.0ms	(/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))
4.0ms	(sqrt (+ (* c c) (* d d)))
4.0ms	(sqrt (+ (* c c) (* d d)))

series56.0ms

Counts

4 → 12

Calls

4 calls:

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

simplify90.0ms

Algorithm

egg-herbie

Counts

96 → 96

Iterations

Useful iterations: 2 (26.0ms)

Iter	Nodes	Cost
0	273	893
1	868	840
2	2679	828
3	5002	828

prune128.0ms

Filtered

74 candidates to 96 candidates (-29.7%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	89	7	96
Fresh	3	2	5
Picked	0	1	1
Done	1	0	1
Total	93	10	103

Merged error: 25.0b

Counts

103 → 10

localize16.0ms

Local error

Found 4 expressions with local error:

0.2b	(+ (* a c) (* b d))
18.3b	(/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))
32.5b	(sqrt (+ (* c c) (* d d)))
32.5b	(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`
5×	`flip3-+` `flip-+`
3×	`associate-/l*`
2×	`rem-sqrt-square` `sqrt-pow1` `pow1/2` `associate-/r/` `associate-/l/`
1×	`cbrt-undiv` `+-commutative` `frac-2neg` `div-exp` `clear-num` `sum-log` `div-inv`

Counts

4 → 84

Calls

4 calls:

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

series56.0ms

Counts

4 → 12

Calls

4 calls:

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

simplify92.0ms

Algorithm

egg-herbie

Counts

96 → 96

Iterations

Useful iterations: 2 (25.0ms)

Iter	Nodes	Cost
0	273	893
1	868	840
2	2679	828
3	5002	828

prune122.0ms

Filtered

74 candidates to 96 candidates (-29.7%)

Pruning

10 alts after pruning (8 fresh and 2 done)

	Pruned	Kept	Total
New	96	0	96
Fresh	0	8	8
Picked	0	1	1
Done	0	1	1
Total	96	10	106

Merged error: 25.0b

Counts

106 → 10

localize16.0ms

Local error

Found 4 expressions with local error:

0.2b	(/ 1 (/ (sqrt (+ (* c c) (* d d))) (+ (* a c) (* b d))))
18.4b	(/ (sqrt (+ (* c c) (* d d))) (+ (* a c) (* b d)))
32.5b	(sqrt (+ (* c c) (* d d)))
32.5b	(sqrt (+ (* c c) (* d d)))

rewrite36.0ms

Algorithm

rewrite-expression-head

Rules

162×	`times-frac`
100×	`add-sqr-sqrt`
98×	`add-cube-cbrt` `*-un-lft-identity`
54×	`sqrt-prod`
27×	`associate-/r*`
17×	`add-exp-log`
11×	`associate-/r/` `add-cbrt-cube`
9×	`associate-/l*`
8×	`flip3-+` `div-exp` `flip-+`
7×	`pow1`
6×	`sqrt-div` `div-inv`
4×	`cbrt-undiv` `add-log-exp`
2×	`rem-sqrt-square` `rec-exp` `frac-2neg` `sqrt-pow1` `pow1/2` `1-exp` `clear-num` `associate-/l/`
1×	`pow-flip` `inv-pow`

Counts

4 → 193

Calls

4 calls:

12.0ms	(/ 1 (/ (sqrt (+ (* c c) (* d d))) (+ (* a c) (* b d))))
8.0ms	(/ (sqrt (+ (* c c) (* d d))) (+ (* a c) (* b d)))
4.0ms	(sqrt (+ (* c c) (* d d)))
3.0ms	(sqrt (+ (* c c) (* d d)))

series66.0ms

Counts

4 → 12

Calls

4 calls:

30.0ms	(/ 1 (/ (sqrt (+ (* c c) (* d d))) (+ (* a c) (* b d))))
24.0ms	(/ (sqrt (+ (* c c) (* d d))) (+ (* a c) (* b d)))
6.0ms	(sqrt (+ (* c c) (* d d)))
6.0ms	(sqrt (+ (* c c) (* d d)))

simplify75.0ms

Algorithm

egg-herbie

Counts

205 → 205

Iterations

Useful iterations: 2 (49.0ms)

Iter	Nodes	Cost
0	574	2902
1	2534	2671
2	5002	2533

prune125.0ms

Filtered

106 candidates to 205 candidates (-93.4%)

Pruning

10 alts after pruning (7 fresh and 3 done)

	Pruned	Kept	Total
New	205	0	205
Fresh	0	7	7
Picked	0	1	1
Done	0	2	2
Total	205	10	215

Merged error: 25.0b

Counts

215 → 10

regimes351.0ms

Accuracy

9% (2.8b remaining)

Error of 25.4b against oracle of 22.7b and baseline of 25.7b

bsearch27.0ms

Steps

Iters	Range		Point
9	1.090806826846436e+123	1.1742947177941731e+132	2.8929289268393237e+124

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	18
1	21	18

end0.0ms

sample4.4s

Algorithm

intervals

sampling

Space saved by range analysis: 0%

Space saved by search: 0%

Guaranteed chance to sample good point: 38.916016%

Results

392.0ms	8000×	body	80	valid
26.0ms	463×	body	80	invalid

Details

sample3.5s

simplify4.0ms

prune4.0ms

localize10.0ms

rewrite13.0ms

series40.0ms

simplify89.0ms

prune91.0ms

localize13.0ms

rewrite26.0ms

series56.0ms

simplify90.0ms

prune128.0ms

localize16.0ms

rewrite22.0ms

series56.0ms

simplify92.0ms

prune122.0ms

localize16.0ms

rewrite36.0ms

series66.0ms

simplify75.0ms

prune125.0ms

regimes351.0ms

bsearch27.0ms

simplify2.0ms

end0.0ms

sample4.4s

Profiling