Details

Time bar (total: 4.7s)

sample1.5s

Algorithm
intervals
sampling

Space saved by range analysis: 0%

Space saved by search: 28.839111%

Guaranteed chance to sample good point: 65.889013%

Results
11.0ms256×body80valid
2.0ms53×body80invalid

simplify51.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0227
1557
21017
31827
43357
57317
618287
750017

prune3.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 30.1b

Counts
2 → 1

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (* x x) (* y y))
5.8b
(- (+ (* x x) (* y y)) (* z z))
28.0b
(/ (- (+ (* 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:
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))

series37.0ms

Counts
3 → 9
Calls
3 calls:
5.0ms
(+ (* x x) (* y y))
13.0ms
(- (+ (* x x) (* y y)) (* z z))
19.0ms
(/ (- (+ (* x x) (* y y)) (* z z)) (* y 2.0))

simplify35.0ms

Algorithm
egg-herbie
Counts
61 → 61
Iterations

Useful iterations: 2 (29.0ms)

IterNodesCost
0337520
11492454
25001446

prune86.0ms

Filtered
46 candidates to 61 candidates (-32.6%)
Pruning

4 alts after pruning (4 fresh and 0 done)

PrunedKeptTotal
New57461
Fresh000
Picked101
Done000
Total58462

Merged error: 12.8b

Counts
62 → 4

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ y (/ (pow x 2) y))
9.9b
(/ (pow x 2) y)
11.1b
(/ (pow z 2) y)

rewrite24.0ms

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)
7.0ms
(/ (pow z 2) y)

series13.0ms

Counts
3 → 9
Calls
3 calls:
6.0ms
(+ y (/ (pow x 2) y))
3.0ms
(/ (pow x 2) y)
4.0ms
(/ (pow z 2) y)

simplify39.0ms

Algorithm
egg-herbie
Counts
119 → 119
Iterations

Useful iterations: 2 (29.0ms)

IterNodesCost
0327554
11147494
25001488

prune172.0ms

Filtered
76 candidates to 119 candidates (-56.6%)
Pruning

5 alts after pruning (5 fresh and 0 done)

PrunedKeptTotal
New1154119
Fresh213
Picked101
Done000
Total1185123

Merged error: 1.3b

Counts
123 → 5

localize13.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ y (/ (pow x 2) y))
0.2b
(* z (/ z y))
9.9b
(/ (pow x 2) y)

rewrite24.0ms

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:
9.0ms
(+ y (/ (pow x 2) y))
7.0ms
(* z (/ z y))
5.0ms
(/ (pow x 2) y)

series13.0ms

Counts
3 → 9
Calls
3 calls:
6.0ms
(+ y (/ (pow x 2) y))
3.0ms
(* z (/ z y))
4.0ms
(/ (pow x 2) y)

simplify45.0ms

Algorithm
egg-herbie
Counts
102 → 102
Iterations

Useful iterations: 2 (38.0ms)

IterNodesCost
0348446
11439395
25001392

prune124.0ms

Filtered
66 candidates to 102 candidates (-54.5%)
Pruning

5 alts after pruning (5 fresh and 0 done)

PrunedKeptTotal
New1002102
Fresh134
Picked101
Done000
Total1025107

Merged error: 0.0b

Counts
107 → 5

localize12.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ y (* x (/ x y)))
0.1b
(* 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))
6.0ms
(* z (/ z y))

series13.0ms

Counts
3 → 9
Calls
3 calls:
6.0ms
(+ y (* x (/ x y)))
3.0ms
(* x (/ x y))
4.0ms
(* z (/ z y))

simplify50.0ms

Algorithm
egg-herbie
Counts
84 → 84
Iterations

Useful iterations: 1 (11.0ms)

IterNodesCost
0359335
11748293
25001293

prune64.0ms

Filtered
56 candidates to 84 candidates (-50.0%)
Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New84084
Fresh044
Picked011
Done000
Total84589

Merged error: 0.0b

Counts
89 → 5

regimes204.0ms

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

sample2.2s

Algorithm
intervals
sampling

Space saved by range analysis: 0%

Space saved by search: 28.839111%

Guaranteed chance to sample good point: 65.889013%

Results
360.0ms8000×body80valid
80.0ms1786×body80invalid

Profiling

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