Details

Time bar (total: 2.4s)

sample36.0ms

Algorithm
intervals
Results
19.0ms408×body80valid

simplify50.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0227
1557
21017
31827
43357
57317
618287
750017

prune3.0ms

Filtered
1 candidates to 0 candidates (100.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 27.2b

Counts
2 → 1

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (* x x) (* y y))
4.2b
(- (+ (* x x) (* y y)) (* z z))
25.3b
(/ (- (+ (* x x) (* y y)) (* z z)) (* y 2.0))

rewrite18.0ms

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:
3.0ms
(+ (* x x) (* y y))
5.0ms
(- (+ (* x x) (* y y)) (* z z))
8.0ms
(/ (- (+ (* x x) (* y y)) (* z z)) (* y 2.0))

series33.0ms

Counts
3 → 9
Calls
3 calls:
5.0ms
(+ (* x x) (* y y))
10.0ms
(- (+ (* x x) (* y y)) (* z z))
18.0ms
(/ (- (+ (* x x) (* y y)) (* z z)) (* y 2.0))

simplify37.0ms

Algorithm
egg-herbie
Counts
61 → 61
Iterations

Useful iterations: 2 (30.0ms)

IterNodesCost
0337520
11492454
25001446

prune92.0ms

Filtered
61 candidates to 46 candidates (24.6%)
Pruning

6 alts after pruning (6 fresh and 0 done)

PrunedKeptTotal
New55661
Fresh000
Picked101
Done000
Total56662

Merged error: 12.5b

Counts
62 → 6

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ y (/ (pow x 2) y))
0.0b
(- (+ y (/ (pow x 2) y)) (/ (pow z 2) y))
9.1b
(/ (pow z 2) y)
10.5b
(/ (pow x 2) y)

rewrite39.0ms

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:
8.0ms
(+ y (/ (pow x 2) y))
18.0ms
(- (+ y (/ (pow x 2) y)) (/ (pow z 2) y))
4.0ms
(/ (pow z 2) y)
5.0ms
(/ (pow x 2) y)

series23.0ms

Counts
4 → 12
Calls
4 calls:
6.0ms
(+ y (/ (pow x 2) y))
11.0ms
(- (+ y (/ (pow x 2) y)) (/ (pow z 2) y))
3.0ms
(/ (pow z 2) y)
3.0ms
(/ (pow x 2) y)

simplify49.0ms

Algorithm
egg-herbie
Counts
145 → 145
Iterations

Useful iterations: 2 (37.0ms)

IterNodesCost
0419838
11459771
25002759

prune217.0ms

Filtered
145 candidates to 92 candidates (36.6%)
Pruning

7 alts after pruning (7 fresh and 0 done)

PrunedKeptTotal
New1405145
Fresh325
Picked101
Done000
Total1447151

Merged error: 0.5b

Counts
151 → 7

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ y (* x (/ x y)))
0.0b
(- (+ y (* x (/ x y))) (/ (pow z 2) y))
0.2b
(* x (/ x y))
9.1b
(/ (pow z 2) y)

rewrite28.0ms

Algorithm
rewrite-expression-head
Rules
46×add-sqr-sqrt
38×times-frac
31×*-un-lft-identity
29×add-cube-cbrt
14×add-exp-log
13×unpow-prod-down associate-*r*
11×add-cbrt-cube add-log-exp
8×associate-/l*
6×pow1
5×unpow2 difference-of-squares sqr-pow
4×div-exp
3×associate-*l* associate-/r*
2×cbrt-undiv flip3-+ diff-log prod-exp sum-log frac-sub cbrt-unprod flip-+ div-inv unswap-sqr
1×+-commutative pow-to-exp sub-neg flip3-- frac-2neg associate-*r/ pow-prod-down pow-exp associate--l+ clear-num *-commutative flip-- distribute-lft-out--
Counts
4 → 114
Calls
4 calls:
2.0ms
(+ y (* x (/ x y)))
11.0ms
(- (+ y (* x (/ x y))) (/ (pow z 2) y))
6.0ms
(* x (/ x y))
5.0ms
(/ (pow z 2) y)

series23.0ms

Counts
4 → 12
Calls
4 calls:
5.0ms
(+ y (* x (/ x y)))
11.0ms
(- (+ y (* x (/ x y))) (/ (pow z 2) y))
3.0ms
(* x (/ x y))
3.0ms
(/ (pow z 2) y)

simplify58.0ms

Algorithm
egg-herbie
Counts
126 → 126
Iterations

Useful iterations: 2 (46.0ms)

IterNodesCost
0447721
11850663
25001660

prune149.0ms

Filtered
126 candidates to 82 candidates (34.9%)
Pruning

7 alts after pruning (7 fresh and 0 done)

PrunedKeptTotal
New1242126
Fresh156
Picked101
Done000
Total1267133

Merged error: 0b

Counts
133 → 7

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ y (* x (/ x y)))
0.0b
(- (+ y (* x (/ x y))) (* z (/ z y)))
0.1b
(* z (/ z y))
0.2b
(* x (/ x y))

rewrite24.0ms

Algorithm
rewrite-expression-head
Rules
30×add-sqr-sqrt
26×associate-*r*
20×add-cube-cbrt *-un-lft-identity times-frac
14×add-exp-log add-cbrt-cube
11×add-log-exp
8×pow1
6×associate-*l*
4×associate-*r/ prod-exp cbrt-unprod unswap-sqr
2×cbrt-undiv flip3-+ diff-log div-exp pow-prod-down sum-log *-commutative frac-sub flip-+ div-inv
1×+-commutative sub-neg flip3-- associate--l+ flip--
Counts
4 → 91
Calls
4 calls:
2.0ms
(+ y (* x (/ x y)))
5.0ms
(- (+ y (* x (/ x y))) (* z (/ z y)))
6.0ms
(* z (/ z y))
8.0ms
(* x (/ x y))

series25.0ms

Counts
4 → 12
Calls
4 calls:
6.0ms
(+ y (* x (/ x y)))
12.0ms
(- (+ y (* x (/ x y))) (* z (/ z y)))
3.0ms
(* z (/ z y))
3.0ms
(* x (/ x y))

simplify61.0ms

Algorithm
egg-herbie
Counts
103 → 103
Iterations

Useful iterations: 1 (13.0ms)

IterNodesCost
0439527
12154482
25002482

prune81.0ms

Filtered
103 candidates to 68 candidates (34.0%)
Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New1030103
Fresh066
Picked011
Done000
Total1037110

Merged error: 0b

Counts
110 → 7

regimes317.0ms

Accuracy

0% (0.1b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0157
1157

end0.0ms

sample1.0s

Algorithm
intervals
Results
555.0ms13694×body80valid

Profiling

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