Details

Time bar (total: 2.5s)

sample27.0ms

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: 27.7b

Counts
2 → 1

localize12.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (* x x) (* y y))
4.6b
(- (+ (* x x) (* y y)) (* z z))
25.9b
(/ (- (+ (* 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))

series149.0ms

Counts
3 → 9
Calls
3 calls:
27.0ms
(+ (* x x) (* y y))
41.0ms
(- (+ (* x x) (* y y)) (* z z))
81.0ms
(/ (- (+ (* 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

prune150.0ms

Filtered
61 candidates to 46 candidates (75.4%)
Pruning

6 alts after pruning (6 fresh and 0 done)

PrunedKeptTotal
New55661
Fresh000
Picked101
Done000
Total56662

Merged error: 10.5b

Counts
62 → 6

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ y (/ (pow x 2) y))
7.6b
(/ (pow x 2) y)
9.4b
(/ (pow z 2) y)

rewrite22.0ms

Algorithm
rewrite-expression-head
Rules
48×times-frac
39×*-un-lft-identity
37×add-sqr-sqrt add-cube-cbrt
24×unpow-prod-down
16×associate-/l*
13×add-exp-log
8×unpow2 sqr-pow
7×add-cbrt-cube
6×div-exp associate-/r*
5×add-log-exp
3×pow1
2×cbrt-undiv pow-to-exp frac-2neg pow-exp clear-num div-inv
1×+-commutative flip3-+ sum-log flip-+ distribute-lft-out
Counts
3 → 110
Calls
3 calls:
9.0ms
(+ y (/ (pow x 2) y))
5.0ms
(/ (pow x 2) y)
5.0ms
(/ (pow z 2) y)

series67.0ms

Counts
3 → 9
Calls
3 calls:
26.0ms
(+ y (/ (pow x 2) y))
22.0ms
(/ (pow x 2) y)
18.0ms
(/ (pow z 2) y)

simplify39.0ms

Algorithm
egg-herbie
Counts
119 → 119
Iterations

Useful iterations: 2 (30.0ms)

IterNodesCost
0327554
11147494
25001488

prune259.0ms

Filtered
119 candidates to 76 candidates (63.9%)
Pruning

8 alts after pruning (8 fresh and 0 done)

PrunedKeptTotal
New1145119
Fresh235
Picked101
Done000
Total1178125

Merged error: 0.8b

Counts
125 → 8

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ y (/ (pow x 2) y))
0.2b
(* z (/ z y))
7.6b
(/ (pow x 2) y)

rewrite27.0ms

Algorithm
rewrite-expression-head
Rules
34×times-frac
33×add-sqr-sqrt
30×*-un-lft-identity
28×add-cube-cbrt
13×add-exp-log associate-*r*
12×unpow-prod-down
10×add-cbrt-cube
8×associate-/l*
5×pow1 add-log-exp
4×div-exp unpow2 sqr-pow
3×associate-*l* associate-/r*
2×cbrt-undiv prod-exp cbrt-unprod div-inv unswap-sqr
1×+-commutative pow-to-exp frac-2neg flip3-+ associate-*r/ pow-prod-down pow-exp clear-num sum-log *-commutative flip-+ distribute-lft-out
Counts
3 → 93
Calls
3 calls:
13.0ms
(+ y (/ (pow x 2) y))
6.0ms
(* z (/ z y))
5.0ms
(/ (pow x 2) y)

series63.0ms

Counts
3 → 9
Calls
3 calls:
26.0ms
(+ y (/ (pow x 2) y))
18.0ms
(* z (/ z y))
19.0ms
(/ (pow x 2) y)

simplify45.0ms

Algorithm
egg-herbie
Counts
102 → 102
Iterations

Useful iterations: 2 (38.0ms)

IterNodesCost
0348446
11439395
25002392

prune211.0ms

Filtered
102 candidates to 66 candidates (64.7%)
Pruning

8 alts after pruning (8 fresh and 0 done)

PrunedKeptTotal
New993102
Fresh257
Picked101
Done000
Total1028110

Merged error: 0.0b

Counts
110 → 8

localize9.0ms

Local error

Found 3 expressions with local error:

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

rewrite18.0ms

Algorithm
rewrite-expression-head
Rules
29×add-sqr-sqrt
26×associate-*r*
20×times-frac
19×add-cube-cbrt *-un-lft-identity
13×add-exp-log add-cbrt-cube
7×pow1
6×associate-*l*
5×add-log-exp
4×prod-exp cbrt-unprod unswap-sqr
2×cbrt-undiv associate-*r/ div-exp pow-prod-down *-commutative div-inv
1×+-commutative flip3-+ sum-log flip-+
Counts
3 → 75
Calls
3 calls:
3.0ms
(+ y (* x (/ x y)))
6.0ms
(* x (/ x y))
7.0ms
(* z (/ z y))

series68.0ms

Counts
3 → 9
Calls
3 calls:
31.0ms
(+ y (* x (/ x y)))
18.0ms
(* x (/ x y))
18.0ms
(* z (/ z y))

simplify51.0ms

Algorithm
egg-herbie
Counts
84 → 84
Iterations

Useful iterations: 1 (11.0ms)

IterNodesCost
0359335
11748293
25002293

prune146.0ms

Filtered
84 candidates to 55 candidates (65.5%)
Pruning

8 alts after pruning (8 fresh and 0 done)

PrunedKeptTotal
New81384
Fresh257
Picked101
Done000
Total84892

Merged error: 0b

Counts
92 → 8

regimes206.0ms

Accuracy

0% (0.3b remaining)

Error of 0.4b against oracle of 0.1b and baseline of 0.4b

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01916
11916

end0.0ms

sample749.0ms

Algorithm
intervals
Results
461.0ms13810×body80valid

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