Details

sample3.9s

Algorithm

intervals

sampling

Space saved by range analysis: 0%

Space saved by search: 2.685547%

Guaranteed chance to sample good point: 4.816859%

Results

10.0ms	256×	body	80	valid
4.0ms	95×	body	80	invalid

simplify6.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	18	5
1	25	5
2	27	5
3	27	5

prune5.0ms

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: 0.0b

Counts

2 → 1

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* x y) (* z t))
0.0b	(+ (+ (* x y) (* z t)) (* a b))

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

9×	`add-log-exp`
4×	`sum-log`
2×	`pow1` `add-exp-log` `+-commutative` `add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity` `flip3-+` `add-cbrt-cube` `flip-+`
1×	`associate-+l+`

Counts

2 → 24

Calls

2 calls:

6.0ms	(+ (* x y) (* z t))
5.0ms	(+ (+ (* x y) (* z t)) (* a b))

series28.0ms

Counts

2 → 6

Calls

2 calls:

9.0ms	(+ (* x y) (* z t))
19.0ms	(+ (+ (* x y) (* z t)) (* a b))

simplify78.0ms

Algorithm

egg-herbie

Counts

30 → 30

Iterations

Useful iterations: 2 (20.0ms)

Iter	Nodes	Cost
0	187	190
1	747	179
2	2644	177
3	5001	177

prune49.0ms

Filtered

24 candidates to 30 candidates (-25.0%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	27	3	30
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	27	4	31

Merged error: 0.0b

Counts

31 → 4

localize12.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (+ (* x y) (* z t))) (cbrt (+ (* x y) (* z t))))
1.4b	(cbrt (+ (* x y) (* z t)))
1.4b	(cbrt (+ (* x y) (* z t)))
1.4b	(cbrt (+ (* x y) (* z t)))

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
18×	`cbrt-div`
15×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1`
9×	`flip3-+` `pow1/3` `flip-+`
6×	`add-exp-log` `swap-sqr` `associate-r` `associate-l`
4×	`frac-times` `add-cbrt-cube` `add-log-exp` `unswap-sqr`
2×	`associate-r/` `pow-prod-down` `associate-l/` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 87

Calls

4 calls:

10.0ms	(* (cbrt (+ (* x y) (* z t))) (cbrt (+ (* x y) (* z t))))
3.0ms	(cbrt (+ (* x y) (* z t)))
3.0ms	(cbrt (+ (* x y) (* z t)))
3.0ms	(cbrt (+ (* x y) (* z t)))

series156.0ms

Counts

4 → 12

Calls

4 calls:

48.0ms	(* (cbrt (+ (* x y) (* z t))) (cbrt (+ (* x y) (* z t))))
35.0ms	(cbrt (+ (* x y) (* z t)))
37.0ms	(cbrt (+ (* x y) (* z t)))
36.0ms	(cbrt (+ (* x y) (* z t)))

simplify104.0ms

Algorithm

egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 3 (94.0ms)

Iter	Nodes	Cost
0	315	1087
1	1067	1022
2	4322	952
3	5001	933

prune117.0ms

Filtered

75 candidates to 99 candidates (-32.0%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	98	1	99
Fresh	1	1	2
Picked	0	1	1
Done	0	1	1
Total	99	4	103

Merged error: 0.0b

Counts

103 → 4

localize21.0ms

Local error

Found 4 expressions with local error:

1.4b	(cbrt (+ (* x y) (* z t)))
1.4b	(cbrt (+ (* x y) (* z t)))
1.4b	(cbrt (- (* x y) (* z t)))
25.0b	(cbrt (- (* (* x y) (* x y)) (* (* z t) (* z t))))

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

13×	`cbrt-prod`
8×	`add-sqr-sqrt` `add-cube-cbrt` `cbrt-div` `*-un-lft-identity`
4×	`pow1` `add-exp-log` `pow1/3` `add-cbrt-cube` `add-log-exp`
2×	`flip3--` `flip3-+` `flip--` `flip-+`
1×	`difference-of-squares`

Counts

4 → 53

Calls

4 calls:

3.0ms	(cbrt (+ (* x y) (* z t)))
3.0ms	(cbrt (+ (* x y) (* z t)))
3.0ms	(cbrt (- (* x y) (* z t)))
6.0ms	(cbrt (- (* (* x y) (* x y)) (* (* z t) (* z t))))

series154.0ms

Counts

4 → 12

Calls

4 calls:

36.0ms	(cbrt (+ (* x y) (* z t)))
37.0ms	(cbrt (+ (* x y) (* z t)))
38.0ms	(cbrt (- (* x y) (* z t)))
44.0ms	(cbrt (- (* (* x y) (* x y)) (* (* z t) (* z t))))

simplify46.0ms

Algorithm

egg-herbie

Counts

65 → 65

Iterations

Useful iterations: 2 (38.0ms)

Iter	Nodes	Cost
0	338	687
1	1125	643
2	5002	622

prune96.0ms

Filtered

61 candidates to 65 candidates (-6.6%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	65	0	65
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	65	4	69

Merged error: 0.0b

Counts

69 → 4

localize20.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (+ (* t z) (* x y)) (- (+ (* x y) (* z t)) (* a b)))
1.2b	(+ (* (+ (* t z) (* x y)) (- (+ (* x y) (* z t)) (* a b))) (* (* a b) (* a b)))
2.9b	(+ (pow (+ (* x y) (* z t)) 3) (pow (* a b) 3))
39.7b	(/ (+ (pow (+ (* x y) (* z t)) 3) (pow (* a b) 3)) (+ (* (+ (* t z) (* x y)) (- (+ (* x y) (* z t)) (* a b))) (* (* a b) (* a b))))

rewrite60.0ms

Algorithm

rewrite-expression-head

Rules

26×	`*-un-lft-identity`
18×	`add-sqr-sqrt`
16×	`add-cube-cbrt`
15×	`times-frac`
8×	`add-exp-log` `add-cbrt-cube` `add-log-exp`
7×	`flip3-+` `flip-+`
6×	`pow1` `distribute-rgt-in` `associate-+l+` `distribute-lft-in`
5×	`sum-cubes` `distribute-lft-out` `associate-/l*`
4×	`frac-times` `sub-neg` `associate--l+`
3×	`flip3--` `associate-r` `associate-l` `associate-/r*` `flip--`
2×	`+-commutative` `associate-r/` `associate-l/` `sum-log` `associate-/r/` `associate-/l/`
1×	`cbrt-undiv` `frac-2neg` `div-exp` `pow-prod-down` `prod-exp` `clear-num` `*-commutative` `cbrt-unprod` `div-inv` `unswap-sqr`

Counts

4 → 101

Calls

4 calls:

10.0ms	(* (+ (* t z) (* x y)) (- (+ (* x y) (* z t)) (* a b)))
12.0ms	(+ (* (+ (* t z) (* x y)) (- (+ (* x y) (* z t)) (* a b))) (* (* a b) (* a b)))
11.0ms	(+ (pow (+ (* x y) (* z t)) 3) (pow (* a b) 3))
24.0ms	(/ (+ (pow (+ (* x y) (* z t)) 3) (pow (* a b) 3)) (+ (* (+ (* t z) (* x y)) (- (+ (* x y) (* z t)) (* a b))) (* (* a b) (* a b))))

series2.5s

Counts

4 → 12

Calls

4 calls:

57.0ms	(* (+ (* t z) (* x y)) (- (+ (* x y) (* z t)) (* a b)))
195.0ms	(+ (* (+ (* t z) (* x y)) (- (+ (* x y) (* z t)) (* a b))) (* (* a b) (* a b)))
2.1s	(+ (pow (+ (* x y) (* z t)) 3) (pow (* a b) 3))
198.0ms	(/ (+ (pow (+ (* x y) (* z t)) 3) (pow (* a b) 3)) (+ (* (+ (* t z) (* x y)) (- (+ (* x y) (* z t)) (* a b))) (* (* a b) (* a b))))

simplify120.0ms

Algorithm

egg-herbie

Counts

113 → 113

Iterations

Useful iterations: 2 (100.0ms)

Iter	Nodes	Cost
0	620	2309
1	3315	2141
2	5001	2136

prune166.0ms

Filtered

85 candidates to 113 candidates (-32.9%)

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	113	0	113
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	113	4	117

Merged error: 0.0b

Counts

117 → 4

regimes820.0ms

Accuracy

0% (0.0b remaining)

Error of 0.0b against oracle of 0.0b and baseline of 0.0b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	5
1	16	5

end0.0ms

sample5.0s

Algorithm

intervals

sampling

Space saved by range analysis: 0%

Space saved by search: 2.685547%

Guaranteed chance to sample good point: 4.816859%

Results

320.0ms	8000×	body	80	valid
144.0ms	3564×	body	80	invalid

Details

sample3.9s

simplify6.0ms

prune5.0ms

localize9.0ms

rewrite12.0ms

series28.0ms

simplify78.0ms

prune49.0ms

localize12.0ms

rewrite22.0ms

series156.0ms

simplify104.0ms

prune117.0ms

localize21.0ms

rewrite16.0ms

series154.0ms

simplify46.0ms

prune96.0ms

localize20.0ms

rewrite60.0ms

series2.5s

simplify120.0ms

prune166.0ms

regimes820.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample5.0s

Profiling