Details

Time bar (total: 3.6s)

sample26.0ms

Algorithm
intervals
Results
14.0ms436×body80valid

simplify54.0ms

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: 30.4b

Counts
2 → 1

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (* x x) (* y y))
5.0b
(- (+ (* x x) (* y y)) (* z z))
28.2b
(/ (- (+ (* x x) (* y y)) (* z z)) (* y 2.0))

rewrite20.0ms

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))

series156.0ms

Counts
3 → 9
Calls
3 calls:
28.0ms
(+ (* x x) (* y y))
46.0ms
(- (+ (* x x) (* y y)) (* z z))
82.0ms
(/ (- (+ (* x x) (* y y)) (* z z)) (* y 2.0))

simplify40.0ms

Algorithm
egg-herbie
Counts
61 → 61
Iterations

Useful iterations: 2 (34.0ms)

IterNodesCost
0337520
11492454
25001446

prune163.0ms

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: 9.5b

Counts
62 → 4

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (+ y (/ (pow x 2) y)) (/ (pow z 2) y))
0.0b
(+ y (/ (pow x 2) y))
7.4b
(/ (pow x 2) y)
9.7b
(/ (pow z 2) y)

rewrite47.0ms

Algorithm
rewrite-expression-head
Rules
52×times-frac
50×add-sqr-sqrt
45×*-un-lft-identity
38×add-cube-cbrt
25×unpow-prod-down
16×associate-/l*
14×add-exp-log
11×add-log-exp
9×unpow2 sqr-pow
8×add-cbrt-cube
6×div-exp associate-/r*
5×difference-of-squares
4×pow1
2×cbrt-undiv pow-to-exp frac-2neg flip3-+ diff-log pow-exp clear-num sum-log frac-sub flip-+ div-inv distribute-lft-out distribute-lft-out--
1×+-commutative sub-neg flip3-- associate--l+ flip--
Counts
4 → 133
Calls
4 calls:
23.0ms
(- (+ y (/ (pow x 2) y)) (/ (pow z 2) y))
9.0ms
(+ y (/ (pow x 2) y))
5.0ms
(/ (pow x 2) y)
5.0ms
(/ (pow z 2) y)

series111.0ms

Counts
4 → 12
Calls
4 calls:
40.0ms
(- (+ y (/ (pow x 2) y)) (/ (pow z 2) y))
33.0ms
(+ y (/ (pow x 2) y))
19.0ms
(/ (pow x 2) y)
19.0ms
(/ (pow z 2) y)

simplify52.0ms

Algorithm
egg-herbie
Counts
145 → 145
Iterations

Useful iterations: 2 (40.0ms)

IterNodesCost
0419838
11459771
25002759

prune367.0ms

Filtered
145 candidates to 92 candidates (63.4%)
Pruning

7 alts after pruning (7 fresh and 0 done)

PrunedKeptTotal
New1387145
Fresh303
Picked101
Done000
Total1427149

Merged error: 1.5b

Counts
149 → 7

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (+ y (/ (pow x 2) y)) (/ (pow z (/ 2 2)) (/ y z)))
0.0b
(+ y (/ (pow x 2) y))
0.2b
(/ (pow z (/ 2 2)) (/ y z))
7.4b
(/ (pow x 2) y)

rewrite74.0ms

Algorithm
rewrite-expression-head
Rules
196×times-frac
126×add-sqr-sqrt
112×*-un-lft-identity
105×add-cube-cbrt
56×unpow-prod-down
22×add-exp-log
20×sqr-pow
16×associate-/r*
15×associate-/l*
12×div-exp
11×add-cbrt-cube add-log-exp
10×div-inv
7×difference-of-squares
4×pow1 cbrt-undiv unpow2
3×pow-to-exp pow-exp
2×frac-2neg flip3-+ diff-log clear-num sum-log frac-sub flip-+ distribute-lft-out distribute-lft-out--
1×+-commutative sub-neg flip3-- associate--l+ associate-/r/ flip--
Counts
4 → 216
Calls
4 calls:
41.0ms
(- (+ y (/ (pow x 2) y)) (/ (pow z (/ 2 2)) (/ y z)))
10.0ms
(+ y (/ (pow x 2) y))
8.0ms
(/ (pow z (/ 2 2)) (/ y z))
5.0ms
(/ (pow x 2) y)

series111.0ms

Counts
4 → 12
Calls
4 calls:
46.0ms
(- (+ y (/ (pow x 2) y)) (/ (pow z (/ 2 2)) (/ y z)))
26.0ms
(+ y (/ (pow x 2) y))
19.0ms
(/ (pow z (/ 2 2)) (/ y z))
19.0ms
(/ (pow x 2) y)

simplify100.0ms

Algorithm
egg-herbie
Counts
228 → 228
Iterations

Useful iterations: 2 (78.0ms)

IterNodesCost
08392072
139171523
250011491

prune479.0ms

Filtered
228 candidates to 119 candidates (52.2%)
Pruning

6 alts after pruning (6 fresh and 0 done)

PrunedKeptTotal
New2244228
Fresh426
Picked101
Done000
Total2296235

Merged error: 0.0b

Counts
235 → 6

localize13.0ms

Local error

Found 4 expressions with local error:

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

rewrite85.0ms

Algorithm
rewrite-expression-head
Rules
247×times-frac
151×add-sqr-sqrt
137×*-un-lft-identity
130×add-cube-cbrt
44×unpow-prod-down
26×associate-/r*
22×add-exp-log
16×sqr-pow
14×add-cbrt-cube div-inv
12×div-exp
11×add-log-exp
10×associate-/l*
7×difference-of-squares
6×cbrt-undiv
4×pow1
2×pow-to-exp frac-2neg flip3-+ diff-log pow-exp clear-num sum-log associate-/r/ frac-sub flip-+ distribute-lft-out distribute-lft-out--
1×+-commutative sub-neg flip3-- associate--l+ flip--
Counts
4 → 237
Calls
4 calls:
46.0ms
(- (+ y (/ x (/ y x))) (/ (pow z (/ 2 2)) (/ y z)))
13.0ms
(+ y (/ x (/ y x)))
8.0ms
(/ (pow z (/ 2 2)) (/ y z))
6.0ms
(/ x (/ y x))

series116.0ms

Counts
4 → 12
Calls
4 calls:
42.0ms
(- (+ y (/ x (/ y x))) (/ (pow z (/ 2 2)) (/ y z)))
34.0ms
(+ y (/ x (/ y x)))
20.0ms
(/ (pow z (/ 2 2)) (/ y z))
20.0ms
(/ x (/ y x))

simplify155.0ms

Algorithm
egg-herbie
Counts
249 → 249
Iterations

Useful iterations: 1 (29.0ms)

IterNodesCost
09951833
149441630
250011630

prune530.0ms

Filtered
249 candidates to 142 candidates (57.0%)
Pruning

5 alts after pruning (5 fresh and 0 done)

PrunedKeptTotal
New2454249
Fresh415
Picked101
Done000
Total2505255

Merged error: 0b

Counts
255 → 5

regimes74.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify4.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0209
1209

end0.0ms

sample737.0ms

Algorithm
intervals
Results
464.0ms13768×body80valid