Details

sample20.0ms

Algorithm

intervals

Results

6.0ms

294×

body

valid

simplify4.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	8	2
1	15	2
2	15	2

prune3.0ms

Filtered

1 candidates to 0 candidates (0.0%)

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

localize4.0ms

Local error

Found 1 expressions with local error:

0.0b	(- x (* y z))

rewrite3.0ms

Algorithm

rewrite-expression-head

Rules

3×	`add-log-exp`
1×	`pow1` `add-exp-log` `add-sqr-sqrt` `add-cube-cbrt` `sub-neg` `flip3--` `*-un-lft-identity` `diff-log` `add-cbrt-cube` `flip--`

Counts

1 → 12

Calls

1 calls:

2.0ms

(- x (* y z))

series28.0ms

Counts

1 → 3

Calls

1 calls:

28.0ms

(- x (* y z))

simplify58.0ms

Algorithm

egg-herbie

Counts

15 → 15

Iterations

Useful iterations: 1 (4.0ms)

Iter	Nodes	Cost
0	73	58
1	209	53
2	643	53
3	1599	53
4	5001	53

prune51.0ms

Filtered

15 candidates to 12 candidates (80.0%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	14	1	15
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	14	2	16

Merged error: 0.0b

Counts

16 → 2

localize13.0ms

Local error

Found 4 expressions with local error:

1.2b	(+ (* (* y z) (+ (* y z) x)) (* x x))
1.7b	(* (* y z) (+ (* y z) x))
2.8b	(- (pow x 3) (pow (* y z) 3))
39.7b	(/ (- (pow x 3) (pow (* y z) 3)) (+ (* (* y z) (+ (* y z) x)) (* x x)))

rewrite48.0ms

Algorithm

rewrite-expression-head

Rules

73×	`add-sqr-sqrt`
40×	`difference-of-squares`
39×	`times-frac`
33×	`*-un-lft-identity`
30×	`sqr-pow`
23×	`add-cube-cbrt`
13×	`associate-/l*`
11×	`add-exp-log` `add-cbrt-cube`
10×	`unpow-prod-down` `cube-prod`
9×	`pow1`
8×	`add-log-exp`
5×	`difference-cubes` `distribute-lft-out--`
3×	`flip3-+` `associate-r` `pow-prod-down` `prod-exp` `associate-/r*` `cbrt-unprod` `flip-+`
2×	`distribute-rgt-in` `associate-+l+` `flip3--` `distribute-lft-in` `associate-*r/` `associate-/r/` `flip--` `associate-/l/`
1×	`cbrt-undiv` `+-commutative` `sub-neg` `frac-2neg` `diff-log` `div-sub` `div-exp` `associate-l` `clear-num` `sum-log` `*-commutative` `div-inv`

Counts

4 → 129

Calls

4 calls:

8.0ms	(+ (* (* y z) (+ (* y z) x)) (* x x))
9.0ms	(* (* y z) (+ (* y z) x))
8.0ms	(- (pow x 3) (pow (* y z) 3))
17.0ms	(/ (- (pow x 3) (pow (* y z) 3)) (+ (* (* y z) (+ (* y z) x)) (* x x)))

series339.0ms

Counts

4 → 12

Calls

4 calls:

57.0ms	(+ (* (* y z) (+ (* y z) x)) (* x x))
32.0ms	(* (* y z) (+ (* y z) x))
149.0ms	(- (pow x 3) (pow (* y z) 3))
101.0ms	(/ (- (pow x 3) (pow (* y z) 3)) (+ (* (* y z) (+ (* y z) x)) (* x x)))

simplify101.0ms

Algorithm

egg-herbie

Counts

141 → 141

Iterations

Useful iterations: 2 (83.0ms)

Iter	Nodes	Cost
0	562	1917
1	3023	1833
2	5001	1831

prune519.0ms

Filtered

141 candidates to 103 candidates (73.0%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	140	1	141
Fresh	0	0	0
Picked	1	0	1
Done	0	1	1
Total	141	2	143

Merged error: 0b

Counts

143 → 2

localize20.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (* (* y z) (sqrt (+ (* y z) x))) (sqrt (+ (* y z) x)))
0.6b	(* (* y z) (sqrt (+ (* y z) x)))
2.8b	(- (pow x 3) (pow (* y z) 3))
20.9b	(/ (- (pow x 3) (pow (* y z) 3)) (+ (* (* (* y z) (sqrt (+ (* y z) x))) (sqrt (+ (* y z) x))) (* x x)))

rewrite60.0ms

Algorithm

rewrite-expression-head

Rules

76×	`add-sqr-sqrt`
40×	`difference-of-squares`
39×	`times-frac`
36×	`*-un-lft-identity`
30×	`sqr-pow`
26×	`add-cube-cbrt`
20×	`add-exp-log` `add-cbrt-cube`
18×	`pow1`
14×	`sqrt-div`
13×	`associate-/l*`
12×	`associate-r`
10×	`unpow-prod-down` `cube-prod` `associate-*r/`
9×	`pow-prod-down` `prod-exp` `cbrt-unprod`
8×	`flip3-+` `flip-+`
6×	`sqrt-prod` `add-log-exp`
5×	`difference-cubes` `distribute-lft-out--`
4×	`frac-times`
3×	`associate-/r*`
2×	`flip3--` `associate-l` `associate-l/` `associate-/r/` `-commutative` `flip--` `associate-/l/`
1×	`cbrt-undiv` `sub-neg` `frac-2neg` `diff-log` `div-sub` `div-exp` `clear-num` `div-inv`

Counts

4 → 149

Calls

4 calls:

13.0ms	(* (* (* y z) (sqrt (+ (* y z) x))) (sqrt (+ (* y z) x)))
8.0ms	(* (* y z) (sqrt (+ (* y z) x)))
8.0ms	(- (pow x 3) (pow (* y z) 3))
24.0ms	(/ (- (pow x 3) (pow (* y z) 3)) (+ (* (* (* y z) (sqrt (+ (* y z) x))) (sqrt (+ (* y z) x))) (* x x)))

series403.0ms

Counts

4 → 12

Calls

4 calls:

32.0ms	(* (* (* y z) (sqrt (+ (* y z) x))) (sqrt (+ (* y z) x)))
105.0ms	(* (* y z) (sqrt (+ (* y z) x)))
155.0ms	(- (pow x 3) (pow (* y z) 3))
111.0ms	(/ (- (pow x 3) (pow (* y z) 3)) (+ (* (* (* y z) (sqrt (+ (* y z) x))) (sqrt (+ (* y z) x))) (* x x)))

simplify119.0ms

Algorithm

egg-herbie

Counts

161 → 161

Iterations

Useful iterations: 2 (96.0ms)

Iter	Nodes	Cost
0	683	2779
1	3471	2449
2	5002	2418

prune603.0ms

Filtered

161 candidates to 112 candidates (69.6%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	161	0	161
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	161	2	163

Merged error: 0b

Counts

163 → 2

regimes224.0ms

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	6	2
1	6	2

end0.0ms

sample499.0ms

Algorithm

intervals

Results

180.0ms

9133×

body

valid

Details

sample20.0ms

simplify4.0ms

prune3.0ms

localize4.0ms

rewrite3.0ms

series28.0ms

simplify58.0ms

prune51.0ms

localize13.0ms

rewrite48.0ms

series339.0ms

simplify101.0ms

prune519.0ms

localize20.0ms

rewrite60.0ms

series403.0ms

simplify119.0ms

prune603.0ms

regimes224.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample499.0ms

Profiling