Details

Time bar (total: 2.9s)

sample29.0ms

Algorithm
intervals
Results
17.0ms454×body80valid

simplify53.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0227
1557
21017
31827
43357
57317
618287
750017

prune2.0ms

Filtered
1 candidates to 0 candidates (0.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 24.6b

Counts
2 → 1

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (* x x) (* y y))
2.2b
(- (+ (* x x) (* y y)) (* z z))
22.8b
(/ (- (+ (* x x) (* y y)) (* z z)) (* y 2.0))

rewrite19.0ms

Algorithm
rewrite-expression-head
Rules
10×add-log-exp
8×add-exp-log add-sqr-sqrt add-cbrt-cube
5×add-cube-cbrt *-un-lft-identity
4×times-frac associate-/l*
3×pow1 difference-of-squares
2×cbrt-undiv flip3-- diff-log div-exp sum-log flip-- associate-/l/
1×+-commutative sub-neg frac-2neg flip3-+ div-sub prod-exp associate--l+ clear-num associate-/r* cbrt-unprod flip-+ div-inv
Counts
3 → 52
Calls
3 calls:
4.0ms
(+ (* x x) (* y y))
6.0ms
(- (+ (* x x) (* y y)) (* z z))
9.0ms
(/ (- (+ (* x x) (* y y)) (* z z)) (* y 2.0))

series149.0ms

Counts
3 → 9
Calls
3 calls:
29.0ms
(+ (* x x) (* y y))
40.0ms
(- (+ (* x x) (* y y)) (* z z))
80.0ms
(/ (- (+ (* x x) (* y y)) (* z z)) (* y 2.0))

simplify39.0ms

Algorithm
egg-herbie
Counts
61 → 61
Iterations

Useful iterations: 2 (33.0ms)

IterNodesCost
0337520
11492454
25001446

prune147.0ms

Filtered
61 candidates to 46 candidates (75.4%)
Pruning

4 alts after pruning (4 fresh and 0 done)

PrunedKeptTotal
New57461
Fresh000
Picked101
Done000
Total58462

Merged error: 8.9b

Counts
62 → 4

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b
(- (+ y (/ (pow x 2) y)) (/ (pow z 2) y))
9.5b
(/ (pow z 2) y)
9.9b
(/ (pow x 2) y)

rewrite32.0ms

Algorithm
rewrite-expression-head
Rules
52×times-frac
49×add-sqr-sqrt
42×*-un-lft-identity
37×add-cube-cbrt
25×unpow-prod-down
16×associate-/l*
13×add-exp-log
9×unpow2 sqr-pow
8×add-log-exp
7×add-cbrt-cube
6×div-exp associate-/r*
5×difference-of-squares
3×pow1
2×cbrt-undiv pow-to-exp frac-2neg diff-log pow-exp clear-num frac-sub div-inv distribute-lft-out--
1×sub-neg flip3-- flip3-+ associate--l+ sum-log flip-- flip-+ distribute-lft-out
Counts
3 → 121
Calls
3 calls:
18.0ms
(- (+ y (/ (pow x 2) y)) (/ (pow z 2) y))
5.0ms
(/ (pow z 2) y)
5.0ms
(/ (pow x 2) y)

series79.0ms

Counts
3 → 9
Calls
3 calls:
39.0ms
(- (+ y (/ (pow x 2) y)) (/ (pow z 2) y))
21.0ms
(/ (pow z 2) y)
19.0ms
(/ (pow x 2) y)

simplify48.0ms

Algorithm
egg-herbie
Counts
130 → 130
Iterations

Useful iterations: 2 (37.0ms)

IterNodesCost
0410766
11420699
25002687

prune290.0ms

Filtered
130 candidates to 82 candidates (63.1%)
Pruning

6 alts after pruning (6 fresh and 0 done)

PrunedKeptTotal
New1264130
Fresh123
Picked101
Done000
Total1286134

Merged error: 0.8b

Counts
134 → 6

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b
(- (+ y (/ x (/ y x))) (/ (pow z 2) y))
0.2b
(/ x (/ y x))
9.5b
(/ (pow z 2) y)

rewrite41.0ms

Algorithm
rewrite-expression-head
Rules
103×times-frac
74×add-sqr-sqrt
67×*-un-lft-identity
62×add-cube-cbrt
16×associate-/r*
13×add-exp-log unpow-prod-down
11×associate-/l*
10×add-cbrt-cube
8×add-log-exp
6×div-exp div-inv
5×unpow2 difference-of-squares sqr-pow
4×cbrt-undiv
3×pow1
2×frac-2neg diff-log clear-num frac-sub distribute-lft-out--
1×pow-to-exp sub-neg flip3-- flip3-+ pow-exp associate--l+ sum-log associate-/r/ flip-- flip-+ distribute-lft-out
Counts
3 → 142
Calls
3 calls:
22.0ms
(- (+ y (/ x (/ y x))) (/ (pow z 2) y))
6.0ms
(/ x (/ y x))
5.0ms
(/ (pow z 2) y)

series76.0ms

Counts
3 → 9
Calls
3 calls:
39.0ms
(- (+ y (/ x (/ y x))) (/ (pow z 2) y))
18.0ms
(/ x (/ y x))
19.0ms
(/ (pow z 2) y)

simplify79.0ms

Algorithm
egg-herbie
Counts
151 → 151
Iterations

Useful iterations: 2 (64.0ms)

IterNodesCost
0596977
12666897
25001891

prune352.0ms

Filtered
151 candidates to 103 candidates (68.2%)
Pruning

8 alts after pruning (8 fresh and 0 done)

PrunedKeptTotal
New1474151
Fresh145
Picked101
Done000
Total1498157

Merged error: 0.0b

Counts
157 → 8

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b
(- (+ y (/ x (/ y x))) (/ z (/ y z)))
0.2b
(/ z (/ y z))
0.2b
(/ x (/ y x))

rewrite46.0ms

Algorithm
rewrite-expression-head
Rules
153×times-frac
96×add-sqr-sqrt
92×*-un-lft-identity
87×add-cube-cbrt
26×associate-/r*
13×add-exp-log add-cbrt-cube
10×div-inv
8×add-log-exp
6×cbrt-undiv div-exp associate-/l*
3×pow1 difference-of-squares
2×frac-2neg diff-log clear-num associate-/r/ frac-sub distribute-lft-out--
1×sub-neg flip3-- flip3-+ associate--l+ sum-log flip-- flip-+ distribute-lft-out
Counts
3 → 161
Calls
3 calls:
26.0ms
(- (+ y (/ x (/ y x))) (/ z (/ y z)))
5.0ms
(/ z (/ y z))
8.0ms
(/ x (/ y x))

series78.0ms

Counts
3 → 9
Calls
3 calls:
38.0ms
(- (+ y (/ x (/ y x))) (/ z (/ y z)))
22.0ms
(/ z (/ y z))
18.0ms
(/ x (/ y x))

simplify97.0ms

Algorithm
egg-herbie
Counts
170 → 170
Iterations

Useful iterations: 2 (83.0ms)

IterNodesCost
07531164
137141083
250021078

prune374.0ms

Filtered
170 candidates to 122 candidates (71.8%)
Pruning

8 alts after pruning (8 fresh and 0 done)

PrunedKeptTotal
New1655170
Fresh437
Picked101
Done000
Total1708178

Merged error: 0b

Counts
178 → 8

regimes117.0ms

Accuracy

0% (0.1b remaining)

Error of 0.2b against oracle of 0.1b and baseline of 0.2b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0147
1147

end0.0ms

sample712.0ms

Algorithm
intervals
Results
444.0ms13692×body80valid