Details

Time bar (total: 2.9s)

sample408.0ms

Algorithm
intervals
sampling

Space saved by range analysis: 0%

Space saved by search: 29.568481%

Guaranteed chance to sample good point: 88.574028%

Results
7.0ms256×body80valid
1.0ms52×body80invalid

simplify37.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0134
1204
2344
3514
4584
5644
6814
71124
81594
92734
103704
114284
124504
134654
144654

prune3.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.0b

Counts
2 → 1

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(* (- x 1.0) z)
0.0b
(+ (* x y) (* (- x 1.0) z))

rewrite11.0ms

Algorithm
rewrite-expression-head
Rules
8×add-sqr-sqrt
6×*-un-lft-identity
5×associate-*l*
4×pow1 add-exp-log add-cube-cbrt add-cbrt-cube add-log-exp
3×associate-*r*
2×associate-*l/
1×+-commutative flip3-- flip3-+ pow-prod-down prod-exp sum-log *-commutative flip-- cbrt-unprod flip-+ distribute-lft-out-- difference-of-squares unswap-sqr
Counts
2 → 33
Calls
2 calls:
6.0ms
(* (- x 1.0) z)
4.0ms
(+ (* x y) (* (- x 1.0) z))

series12.0ms

Counts
2 → 6
Calls
2 calls:
4.0ms
(* (- x 1.0) z)
8.0ms
(+ (* x y) (* (- x 1.0) z))

simplify107.0ms

Algorithm
egg-herbie
Counts
39 → 39
Iterations

Useful iterations: 1 (6.0ms)

IterNodesCost
0187183
1775166
24041166
35001166

prune52.0ms

Filtered
28 candidates to 39 candidates (-39.3%)
Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New36339
Fresh000
Picked011
Done000
Total36440

Merged error: 0b

Counts
40 → 4

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (* x y) (* (* (- x 1.0) (sqrt z)) (sqrt z)))
0.1b
(* (- x 1.0) (sqrt z))
0.3b
(* (* (- x 1.0) (sqrt z)) (sqrt z))

rewrite22.0ms

Algorithm
rewrite-expression-head
Rules
14×add-sqr-sqrt
12×associate-*r*
10×pow1 add-exp-log *-un-lft-identity add-cbrt-cube
8×add-cube-cbrt
7×sqrt-prod
6×associate-*l* associate-*l/
5×add-log-exp
4×pow-prod-down prod-exp cbrt-unprod
2×flip3-- *-commutative flip-- unswap-sqr
1×+-commutative flip3-+ sum-log flip-+ distribute-lft-out-- difference-of-squares
Counts
3 → 60
Calls
3 calls:
4.0ms
(+ (* x y) (* (* (- x 1.0) (sqrt z)) (sqrt z)))
7.0ms
(* (- x 1.0) (sqrt z))
9.0ms
(* (* (- x 1.0) (sqrt z)) (sqrt z))

series24.0ms

Counts
3 → 9
Calls
3 calls:
12.0ms
(+ (* x y) (* (* (- x 1.0) (sqrt z)) (sqrt z)))
6.0ms
(* (- x 1.0) (sqrt z))
6.0ms
(* (* (- x 1.0) (sqrt z)) (sqrt z))

simplify50.0ms

Algorithm
egg-herbie
Counts
69 → 69
Iterations

Useful iterations: 2 (44.0ms)

IterNodesCost
0355436
11496377
25002365

prune71.0ms

Filtered
47 candidates to 69 candidates (-46.8%)
Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New69069
Fresh022
Picked011
Done011
Total69473

Merged error: 0b

Counts
73 → 4

localize19.0ms

Local error

Found 4 expressions with local error:

0.3b
(* (* x y) (* x y))
0.6b
(+ (* (* (- x 1.0) z) (- (* (- x 1.0) z) (* x y))) (* (* x y) (* x y)))
0.9b
(+ (pow (* x y) 3) (pow (* (- x 1.0) z) 3))
39.2b
(/ (+ (pow (* x y) 3) (pow (* (- x 1.0) z) 3)) (+ (* (* (- x 1.0) z) (- (* (- x 1.0) z) (* x y))) (* (* x y) (* x y))))

rewrite54.0ms

Algorithm
rewrite-expression-head
Rules
43×pow1
24×*-un-lft-identity
18×add-exp-log add-cbrt-cube
17×pow-prod-down
15×times-frac
14×add-sqr-sqrt add-cube-cbrt
8×prod-exp cbrt-unprod add-log-exp
5×sum-cubes distribute-lft-out associate-/l*
4×associate-+l+ flip3-+ pow-sqr pow-prod-up flip-+
3×associate-/r*
2×+-commutative distribute-rgt-in sub-neg distribute-lft-in pow-plus sum-log associate-/r/ associate-/l/
1×cbrt-undiv pow2 frac-2neg swap-sqr div-exp associate-*r* associate-*l* clear-num *-commutative div-inv
Counts
4 → 101
Calls
4 calls:
6.0ms
(* (* x y) (* x y))
14.0ms
(+ (* (* (- x 1.0) z) (- (* (- x 1.0) z) (* x y))) (* (* x y) (* x y)))
7.0ms
(+ (pow (* x y) 3) (pow (* (- x 1.0) z) 3))
24.0ms
(/ (+ (pow (* x y) 3) (pow (* (- x 1.0) z) 3)) (+ (* (* (- x 1.0) z) (- (* (- x 1.0) z) (* x y))) (* (* x y) (* x y))))

series182.0ms

Counts
4 → 12
Calls
4 calls:
6.0ms
(* (* x y) (* x y))
31.0ms
(+ (* (* (- x 1.0) z) (- (* (- x 1.0) z) (* x y))) (* (* x y) (* x y)))
41.0ms
(+ (pow (* x y) 3) (pow (* (- x 1.0) z) 3))
103.0ms
(/ (+ (pow (* x y) 3) (pow (* (- x 1.0) z) 3)) (+ (* (* (- x 1.0) z) (- (* (- x 1.0) z) (* x y))) (* (* x y) (* x y))))

simplify111.0ms

Algorithm
egg-herbie
Counts
113 → 113
Iterations

Useful iterations: 2 (94.0ms)

IterNodesCost
04891650
125601514
250011509

prune180.0ms

Filtered
68 candidates to 113 candidates (-66.2%)
Pruning

4 alts after pruning (1 fresh and 3 done)

PrunedKeptTotal
New1121113
Fresh101
Picked011
Done022
Total1134117

Merged error: 0b

Counts
117 → 4

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(* x (+ z y))
0.0b
(- (* x (+ z y)) z)

rewrite12.0ms

Algorithm
rewrite-expression-head
Rules
6×add-sqr-sqrt *-un-lft-identity
4×pow1 add-exp-log add-cube-cbrt associate-*r* add-cbrt-cube add-log-exp
3×associate-*l*
2×distribute-rgt-in distribute-lft-in associate-*r/ associate--l+
1×sub-neg flip3-- flip3-+ diff-log pow-prod-down prod-exp *-commutative flip-- cbrt-unprod flip-+ distribute-lft-out unswap-sqr
Counts
2 → 37
Calls
2 calls:
6.0ms
(* x (+ z y))
6.0ms
(- (* x (+ z y)) z)

series14.0ms

Counts
2 → 6
Calls
2 calls:
6.0ms
(* x (+ z y))
7.0ms
(- (* x (+ z y)) z)

simplify80.0ms

Algorithm
egg-herbie
Counts
43 → 43
Iterations

Useful iterations: 2 (23.0ms)

IterNodesCost
0170165
1690153
23359151
35001151

prune35.0ms

Filtered
28 candidates to 43 candidates (-53.6%)
Pruning

4 alts after pruning (0 fresh and 4 done)

PrunedKeptTotal
New43043
Fresh000
Picked011
Done033
Total43447

Merged error: 0b

Counts
47 → 4

regimes191.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0114
1114

end0.0ms

sample1.2s

Algorithm
intervals
sampling

Space saved by range analysis: 0%

Space saved by search: 29.568481%

Guaranteed chance to sample good point: 88.574028%

Results
236.0ms8000×body80valid
43.0ms1491×body80invalid

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