Details

Time bar (total: 15.2s)

sample577.0ms

Algorithm
intervals
sampling

Space saved by range analysis: 0%

Space saved by search: 3.161621%

Guaranteed chance to sample good point: 89.619312%

Results
9.0ms256×body80valid
0.0ms11×body80invalid

simplify12.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0215
1375
2615
3915
41155
51215
61215

prune3.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 5.6b

Counts
2 → 1

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ 1.0 (* z z))
3.0b
(/ (/ 1.0 x) (* y (+ 1.0 (* z z))))
4.0b
(* y (+ 1.0 (* z z)))

rewrite18.0ms

Algorithm
rewrite-expression-head
Rules
31×times-frac
21×add-sqr-sqrt
19×add-cube-cbrt *-un-lft-identity
17×add-exp-log add-cbrt-cube
13×associate-/l*
6×cbrt-undiv div-exp
5×pow1 add-log-exp
4×associate-*r/
3×flip3-+ associate-*r* associate-*l* prod-exp cbrt-unprod flip-+ div-inv
2×associate-/r/
1×+-commutative distribute-rgt-in frac-2neg distribute-lft-in pow-prod-down clear-num associate-/r* sum-log *-commutative associate-/l/ unswap-sqr
Counts
3 → 81
Calls
3 calls:
2.0ms
(+ 1.0 (* z z))
7.0ms
(/ (/ 1.0 x) (* y (+ 1.0 (* z z))))
5.0ms
(* y (+ 1.0 (* z z)))

series30.0ms

Counts
3 → 9
Calls
3 calls:
4.0ms
(+ 1.0 (* z z))
17.0ms
(/ (/ 1.0 x) (* y (+ 1.0 (* z z))))
9.0ms
(* y (+ 1.0 (* z z)))

simplify50.0ms

Algorithm
egg-herbie
Counts
90 → 90
Iterations

Useful iterations: 1 (11.0ms)

IterNodesCost
0432567
12077494
25002494

prune148.0ms

Filtered
67 candidates to 90 candidates (-34.3%)
Pruning

10 alts after pruning (10 fresh and 0 done)

PrunedKeptTotal
New801090
Fresh000
Picked101
Done000
Total811091

Merged error: 4.0b

Counts
91 → 10

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ 1.0 (* z z))
0.3b
(/ (/ 1.0 y) x)
5.1b
(/ (/ (/ 1.0 y) x) (+ 1.0 (* z z)))

rewrite41.0ms

Algorithm
rewrite-expression-head
Rules
468×times-frac
229×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
56×associate-/l*
22×div-inv
17×add-exp-log add-cbrt-cube
9×cbrt-undiv div-exp
6×associate-/r*
5×add-log-exp
3×pow1
2×frac-2neg flip3-+ clear-num associate-/r/ flip-+ associate-/l/
1×+-commutative sum-log
Counts
3 → 275
Calls
3 calls:
2.0ms
(+ 1.0 (* z z))
6.0ms
(/ (/ 1.0 y) x)
16.0ms
(/ (/ (/ 1.0 y) x) (+ 1.0 (* z z)))

series25.0ms

Counts
3 → 9
Calls
3 calls:
4.0ms
(+ 1.0 (* z z))
3.0ms
(/ (/ 1.0 y) x)
18.0ms
(/ (/ (/ 1.0 y) x) (+ 1.0 (* z z)))

simplify116.0ms

Algorithm
egg-herbie
Counts
284 → 284
Iterations

Useful iterations: 1 (25.0ms)

IterNodesCost
011553050
147522970
250022970

prune490.0ms

Filtered
244 candidates to 284 candidates (-16.4%)
Pruning

9 alts after pruning (8 fresh and 1 done)

PrunedKeptTotal
New2795284
Fresh639
Picked011
Done000
Total2859294

Merged error: 4.0b

Counts
294 → 9

localize10.0ms

Local error

Found 4 expressions with local error:

0.8b
(/ (/ (/ (/ 1.0 y) x) (sqrt (+ 1.0 (* z z)))) (sqrt (+ 1.0 (* z z))))
1.7b
(/ (/ (/ 1.0 y) x) (sqrt (+ 1.0 (* z z))))
15.3b
(sqrt (+ 1.0 (* z z)))
15.3b
(sqrt (+ 1.0 (* z z)))

rewrite362.0ms

Algorithm
rewrite-expression-head
Rules
6882×times-frac
2950×add-sqr-sqrt
2948×add-cube-cbrt *-un-lft-identity
1836×sqrt-prod
307×associate-/l*
205×div-inv
27×add-exp-log add-cbrt-cube
22×sqrt-div
18×associate-/r/
16×cbrt-undiv div-exp
12×associate-/r*
11×flip3-+ flip-+
6×pow1
4×add-log-exp
2×rem-sqrt-square frac-2neg sqrt-pow1 pow1/2 clear-num associate-/l/
Counts
4 → 2231
Calls
4 calls:
79.0ms
(/ (/ (/ (/ 1.0 y) x) (sqrt (+ 1.0 (* z z)))) (sqrt (+ 1.0 (* z z))))
16.0ms
(/ (/ (/ 1.0 y) x) (sqrt (+ 1.0 (* z z))))
2.0ms
(sqrt (+ 1.0 (* z z)))
2.0ms
(sqrt (+ 1.0 (* z z)))

series48.0ms

Counts
4 → 12
Calls
4 calls:
17.0ms
(/ (/ (/ (/ 1.0 y) x) (sqrt (+ 1.0 (* z z)))) (sqrt (+ 1.0 (* z z))))
23.0ms
(/ (/ (/ 1.0 y) x) (sqrt (+ 1.0 (* z z))))
4.0ms
(sqrt (+ 1.0 (* z z)))
4.0ms
(sqrt (+ 1.0 (* z z)))

simplify467.0ms

Algorithm
egg-herbie
Counts
2243 → 2243
Iterations

Useful iterations: 0 (34.0ms)

IterNodesCost
0500151298

prune11.0s

Filtered
1494 candidates to 2243 candidates (-50.1%)
Pruning

9 alts after pruning (7 fresh and 2 done)

PrunedKeptTotal
New224302243
Fresh077
Picked011
Done011
Total224392252

Merged error: 4.0b

Counts
2252 → 9

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ 1.0 (* z z))
0.6b
(/ 1.0 (* x y))
5.1b
(/ (/ 1.0 (* x y)) (+ 1.0 (* z z)))

rewrite17.0ms

Algorithm
rewrite-expression-head
Rules
36×times-frac
21×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
17×add-exp-log add-cbrt-cube
10×associate-/l*
7×cbrt-undiv div-exp
6×div-inv
5×add-log-exp
4×associate-/r*
3×pow1
2×frac-2neg flip3-+ prod-exp clear-num associate-/r/ cbrt-unprod flip-+
1×+-commutative sum-log associate-/l/
Counts
3 → 82
Calls
3 calls:
2.0ms
(+ 1.0 (* z z))
4.0ms
(/ 1.0 (* x y))
7.0ms
(/ (/ 1.0 (* x y)) (+ 1.0 (* z z)))

series24.0ms

Counts
3 → 9
Calls
3 calls:
4.0ms
(+ 1.0 (* z z))
3.0ms
(/ 1.0 (* x y))
17.0ms
(/ (/ 1.0 (* x y)) (+ 1.0 (* z z)))

simplify49.0ms

Algorithm
egg-herbie
Counts
91 → 91
Iterations

Useful iterations: 1 (11.0ms)

IterNodesCost
0378626
11722565
25003565

prune99.0ms

Filtered
69 candidates to 91 candidates (-31.9%)
Pruning

9 alts after pruning (6 fresh and 3 done)

PrunedKeptTotal
New91091
Fresh066
Picked011
Done022
Total919100

Merged error: 4.0b

Counts
100 → 9

regimes477.0ms

Accuracy

0% (1.7b remaining)

Error of 6.4b against oracle of 4.7b and baseline of 6.4b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0105
1105

end0.0ms

sample1.1s

Algorithm
intervals
sampling

Space saved by range analysis: 0%

Space saved by search: 3.161621%

Guaranteed chance to sample good point: 89.619312%

Results
286.0ms8000×body80valid
12.0ms335×body80invalid

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