Details

Time bar (total: 2.6s)

sample612.0ms

Algorithm
intervals
sampling

Space saved by range analysis: 17.235613%

Space saved by search: 0.146413%

Guaranteed chance to sample good point: 0%

Results
7.0ms256×body80valid
0.0ms7×body80invalid

simplify26.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0134
1204
2344
3494
4574
5694
6904
71274
81764
93044
104394
114494
124494

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

rewrite11.0ms

Algorithm
rewrite-expression-head
Rules
8×add-sqr-sqrt
6×*-un-lft-identity
5×associate-*r*
4×pow1 add-exp-log distribute-rgt-in add-cube-cbrt sub-neg associate-+r+ distribute-lft-in add-cbrt-cube add-log-exp
3×associate-*l*
2×associate-*r/
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 → 41
Calls
2 calls:
4.0ms
(+ (* x y) (* z (- 1.0 y)))
6.0ms
(* z (- 1.0 y))

series16.0ms

Counts
2 → 6
Calls
2 calls:
11.0ms
(+ (* x y) (* z (- 1.0 y)))
5.0ms
(* z (- 1.0 y))

simplify90.0ms

Algorithm
egg-herbie
Counts
47 → 47
Iterations

Useful iterations: 1 (6.0ms)

IterNodesCost
0194208
1748188
23250188
35001188

prune52.0ms

Filtered
30 candidates to 47 candidates (-56.7%)
Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New44347
Fresh000
Picked101
Done000
Total45348

Merged error: 0.0b

Counts
48 → 3

localize8.0ms

Local error

Found 2 expressions with local error:

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

rewrite9.0ms

Algorithm
rewrite-expression-head
Rules
9×add-log-exp
4×sum-log
2×pow1 add-exp-log +-commutative add-sqr-sqrt add-cube-cbrt *-un-lft-identity flip3-+ distribute-rgt-neg-out add-cbrt-cube flip-+
1×associate-+l+ unsub-neg
Counts
2 → 26
Calls
2 calls:
5.0ms
(+ (+ (* x y) (* 1.0 z)) (* z (neg y)))
3.0ms
(+ (* x y) (* 1.0 z))

series14.0ms

Counts
2 → 6
Calls
2 calls:
8.0ms
(+ (+ (* x y) (* 1.0 z)) (* z (neg y)))
6.0ms
(+ (* x y) (* 1.0 z))

simplify108.0ms

Algorithm
egg-herbie
Counts
32 → 32
Iterations

Useful iterations: 2 (24.0ms)

IterNodesCost
0182217
1771192
23601184
35002184

prune39.0ms

Filtered
23 candidates to 32 candidates (-39.1%)
Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New32032
Fresh022
Picked011
Done000
Total32335

Merged error: 0.0b

Counts
35 → 3

localize6.0ms

Local error

Found 2 expressions with local error:

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

rewrite11.0ms

Algorithm
rewrite-expression-head
Rules
8×add-sqr-sqrt
6×*-un-lft-identity
5×associate-*r*
4×pow1 add-exp-log distribute-rgt-in add-cube-cbrt sub-neg associate-+r+ distribute-lft-in add-cbrt-cube add-log-exp
3×associate-*l*
2×associate-*r/
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 → 41
Calls
2 calls:
4.0ms
(+ (* z 1.0) (* y (- x z)))
6.0ms
(* y (- x z))

series15.0ms

Counts
2 → 6
Calls
2 calls:
7.0ms
(+ (* z 1.0) (* y (- x z)))
7.0ms
(* y (- x z))

simplify119.0ms

Algorithm
egg-herbie
Counts
47 → 47
Iterations

Useful iterations: 1 (6.0ms)

IterNodesCost
0195202
1878188
24351188
35001188

prune46.0ms

Filtered
30 candidates to 47 candidates (-56.7%)
Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New46147
Fresh011
Picked101
Done011
Total47350

Merged error: 0.0b

Counts
50 → 3

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b
(sqrt (- x z))
0.0b
(+ (* z 1.0) (* (* y (sqrt (- x z))) (sqrt (- x z))))
0.1b
(* y (sqrt (- x z)))
0.2b
(* (* y (sqrt (- x z))) (sqrt (- x z)))

rewrite28.0ms

Algorithm
rewrite-expression-head
Rules
21×add-sqr-sqrt
16×*-un-lft-identity sqrt-div associate-*r* sqrt-prod
12×pow1
11×add-exp-log add-cbrt-cube
10×add-cube-cbrt associate-*r/
8×flip3-- flip--
6×add-log-exp
4×frac-times associate-*l* pow-prod-down prod-exp cbrt-unprod
3×distribute-lft-out-- difference-of-squares
2×associate-*l/ *-commutative unswap-sqr
1×+-commutative rem-sqrt-square sqrt-pow1 flip3-+ pow1/2 sum-log flip-+
Counts
4 → 85
Calls
4 calls:
3.0ms
(sqrt (- x z))
3.0ms
(+ (* z 1.0) (* (* y (sqrt (- x z))) (sqrt (- x z))))
7.0ms
(* y (sqrt (- x z)))
12.0ms
(* (* y (sqrt (- x z))) (sqrt (- x z)))

series41.0ms

Counts
4 → 12
Calls
4 calls:
9.0ms
(sqrt (- x z))
8.0ms
(+ (* z 1.0) (* (* y (sqrt (- x z))) (sqrt (- x z))))
18.0ms
(* y (sqrt (- x z)))
7.0ms
(* (* y (sqrt (- x z))) (sqrt (- x z)))

simplify54.0ms

Algorithm
egg-herbie
Counts
97 → 97
Iterations

Useful iterations: 2 (45.0ms)

IterNodesCost
0409656
11864569
25001556

prune81.0ms

Filtered
64 candidates to 97 candidates (-51.6%)
Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New97097
Fresh011
Picked011
Done011
Total973100

Merged error: 0.0b

Counts
100 → 3

regimes130.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0176
1216
2226
3226

end0.0ms

sample1.0s

Algorithm
intervals
sampling

Space saved by range analysis: 17.235613%

Space saved by search: 0.146413%

Guaranteed chance to sample good point: 0%

Results
233.0ms8000×body80valid
13.0ms360×body80invalid

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