Details

Time bar (total: 2.6s)

sample32.0ms

Algorithm
intervals
Results
19.0ms463×body80valid

simplify61.0ms

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: 28.9b

Counts
2 → 1

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (* x x) (* y y))
4.6b
(- (+ (* x x) (* y y)) (* z z))
26.9b
(/ (- (+ (* x x) (* y y)) (* z z)) (* y 2.0))

rewrite21.0ms

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))

series148.0ms

Counts
3 → 9
Calls
3 calls:
26.0ms
(+ (* x x) (* y y))
43.0ms
(- (+ (* x x) (* y y)) (* z z))
80.0ms
(/ (- (+ (* x x) (* y y)) (* z z)) (* y 2.0))

simplify37.0ms

Algorithm
egg-herbie
Counts
61 → 61
Iterations

Useful iterations: 2 (31.0ms)

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: 11.3b

Counts
62 → 4

localize12.0ms

Local error

Found 3 expressions with local error:

0.0b
(- (+ y (/ (pow x 2) y)) (/ (pow z 2) y))
9.8b
(/ (pow x 2) y)
10.2b
(/ (pow z 2) y)

rewrite64.0ms

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:
40.0ms
(- (+ y (/ (pow x 2) y)) (/ (pow z 2) y))
9.0ms
(/ (pow x 2) y)
9.0ms
(/ (pow z 2) y)

series82.0ms

Counts
3 → 9
Calls
3 calls:
42.0ms
(- (+ y (/ (pow x 2) y)) (/ (pow z 2) y))
18.0ms
(/ (pow x 2) y)
22.0ms
(/ (pow z 2) y)

simplify44.0ms

Algorithm
egg-herbie
Counts
130 → 130
Iterations

Useful iterations: 2 (34.0ms)

IterNodesCost
0410766
11420699
25001687

prune255.0ms

Filtered
130 candidates to 82 candidates (63.1%)
Pruning

6 alts after pruning (6 fresh and 0 done)

PrunedKeptTotal
New1273130
Fresh033
Picked101
Done000
Total1286134

Merged error: 1.5b

Counts
134 → 6

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b
(- (+ y (* x (/ x y))) (/ (pow z 2) y))
0.1b
(* x (/ x y))
10.2b
(/ (pow z 2) y)

rewrite31.0ms

Algorithm
rewrite-expression-head
Rules
45×add-sqr-sqrt
38×times-frac
30×*-un-lft-identity
28×add-cube-cbrt
13×add-exp-log unpow-prod-down associate-*r*
10×add-cbrt-cube
8×associate-/l* add-log-exp
5×pow1 unpow2 difference-of-squares sqr-pow
4×div-exp
3×associate-*l* associate-/r*
2×cbrt-undiv diff-log prod-exp frac-sub cbrt-unprod div-inv unswap-sqr
1×pow-to-exp sub-neg flip3-- frac-2neg flip3-+ associate-*r/ pow-prod-down pow-exp associate--l+ clear-num sum-log *-commutative flip-- flip-+ distribute-lft-out--
Counts
3 → 103
Calls
3 calls:
16.0ms
(- (+ y (* x (/ x y))) (/ (pow z 2) y))
7.0ms
(* x (/ x y))
5.0ms
(/ (pow z 2) y)

series77.0ms

Counts
3 → 9
Calls
3 calls:
42.0ms
(- (+ y (* x (/ x y))) (/ (pow z 2) y))
17.0ms
(* x (/ x y))
18.0ms
(/ (pow z 2) y)

simplify52.0ms

Algorithm
egg-herbie
Counts
112 → 112
Iterations

Useful iterations: 2 (43.0ms)

IterNodesCost
0438652
11799594
25001591

prune203.0ms

Filtered
112 candidates to 73 candidates (65.2%)
Pruning

6 alts after pruning (6 fresh and 0 done)

PrunedKeptTotal
New1102112
Fresh145
Picked101
Done000
Total1126118

Merged error: 0b

Counts
118 → 6

localize9.0ms

Local error

Found 3 expressions with local error:

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

rewrite21.0ms

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
8×add-log-exp
7×pow1
6×associate-*l*
4×associate-*r/ prod-exp cbrt-unprod unswap-sqr
2×cbrt-undiv diff-log div-exp pow-prod-down *-commutative frac-sub div-inv
1×sub-neg flip3-- flip3-+ associate--l+ sum-log flip-- flip-+
Counts
3 → 80
Calls
3 calls:
5.0ms
(- (+ y (* x (/ x y))) (* z (/ z y)))
7.0ms
(* x (/ x y))
7.0ms
(* z (/ z y))

series77.0ms

Counts
3 → 9
Calls
3 calls:
37.0ms
(- (+ y (* x (/ x y))) (* z (/ z y)))
17.0ms
(* x (/ x y))
22.0ms
(* z (/ z y))

simplify56.0ms

Algorithm
egg-herbie
Counts
89 → 89
Iterations

Useful iterations: 1 (12.0ms)

IterNodesCost
0429458
12102413
25001413

prune141.0ms

Filtered
89 candidates to 60 candidates (67.4%)
Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New89089
Fresh055
Picked011
Done000
Total89695

Merged error: 0b

Counts
95 → 6

regimes163.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0157
1157

end0.0ms

sample849.0ms

Algorithm
intervals
Results
567.0ms13542×body80valid

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