Details

Time bar (total: 7.6s)

sample3.0s

Algorithm
intervals
sampling

Space saved by range analysis: 0%

Space saved by search: 17.510986%

Guaranteed chance to sample good point: 85.334813%

Results
6.0ms256×body80valid
0.0ms10×body80invalid

simplify115.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0153
1253
2363
3403
4463
5583
6933
71303
81633
92733
105073
1116183
1250013

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

localize5.0ms

Local error

Found 2 expressions with local error:

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

rewrite9.0ms

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 associate-+r+ distribute-lft-in flip3-+ associate-*r/ flip-+
1×+-commutative pow-prod-down prod-exp sum-log *-commutative cbrt-unprod distribute-lft-out unswap-sqr
Counts
2 → 36
Calls
2 calls:
6.0ms
(* y (+ z x))
3.0ms
(+ x (* y (+ z x)))

series13.0ms

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

simplify93.0ms

Algorithm
egg-herbie
Counts
42 → 42
Iterations

Useful iterations: 1 (5.0ms)

IterNodesCost
0186164
1769149
23884149
35001149

prune40.0ms

Filtered
28 candidates to 42 candidates (-50.0%)
Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New40242
Fresh000
Picked011
Done000
Total40343

Merged error: 0.0b

Counts
43 → 3

localize6.0ms

Local error

Found 2 expressions with local error:

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

rewrite8.0ms

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-+ add-cbrt-cube flip-+
1×associate-+l+
Counts
2 → 24
Calls
2 calls:
5.0ms
(+ (+ x (* z y)) (* y x))
3.0ms
(+ x (* z y))

series13.0ms

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

simplify66.0ms

Algorithm
egg-herbie
Counts
30 → 30
Iterations

Useful iterations: 2 (17.0ms)

IterNodesCost
0160155
1624139
22460136
35001136

prune31.0ms

Filtered
23 candidates to 30 candidates (-30.4%)
Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New30030
Fresh011
Picked011
Done011
Total30333

Merged error: 0.0b

Counts
33 → 3

localize7.0ms

Local error

Found 3 expressions with local error:

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

rewrite22.0ms

Algorithm
rewrite-expression-head
Rules
14×sqrt-div associate-*r*
12×add-sqr-sqrt *-un-lft-identity
10×pow1 add-exp-log associate-*r/ add-cbrt-cube
9×sqrt-prod
8×add-cube-cbrt flip3-+ flip-+
5×add-log-exp
4×frac-times associate-*l* pow-prod-down prod-exp cbrt-unprod
2×associate-*l/ *-commutative distribute-lft-out unswap-sqr
1×+-commutative sum-log
Counts
3 → 66
Calls
3 calls:
2.0ms
(+ x (* (* y (sqrt (+ z x))) (sqrt (+ z x))))
7.0ms
(* y (sqrt (+ z x)))
11.0ms
(* (* y (sqrt (+ z x))) (sqrt (+ z x)))

series37.0ms

Counts
3 → 9
Calls
3 calls:
10.0ms
(+ x (* (* y (sqrt (+ z x))) (sqrt (+ z x))))
13.0ms
(* y (sqrt (+ z x)))
13.0ms
(* (* y (sqrt (+ z x))) (sqrt (+ z x)))

simplify54.0ms

Algorithm
egg-herbie
Counts
75 → 75
Iterations

Useful iterations: 2 (45.0ms)

IterNodesCost
0416547
11965459
25001448

prune64.0ms

Filtered
49 candidates to 75 candidates (-53.1%)
Pruning

4 alts after pruning (1 fresh and 3 done)

PrunedKeptTotal
New74175
Fresh000
Picked011
Done022
Total74478

Merged error: 0b

Counts
78 → 4

localize9.0ms

Local error

Found 4 expressions with local error:

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

rewrite49.0ms

Algorithm
rewrite-expression-head
Rules
114×sqrt-div
39×sqrt-prod
36×associate-*r/
35×flip3-+ flip-+
32×frac-times
27×associate-*r*
23×*-un-lft-identity
22×pow1
21×add-sqr-sqrt
20×add-exp-log add-cbrt-cube
16×associate-*l/
15×add-cube-cbrt
10×pow-prod-down prod-exp cbrt-unprod
5×associate-*l*
4×sqrt-pow1 distribute-lft-out add-log-exp
3×*-commutative
2×rem-sqrt-square pow1/2 unswap-sqr
Counts
4 → 134
Calls
4 calls:
4.0ms
(sqrt (sqrt (+ z x)))
6.0ms
(* y (sqrt (+ z x)))
12.0ms
(* (* y (sqrt (+ z x))) (sqrt (sqrt (+ z x))))
19.0ms
(* (* (* y (sqrt (+ z x))) (sqrt (sqrt (+ z x)))) (sqrt (sqrt (+ z x))))

series85.0ms

Counts
4 → 12
Calls
4 calls:
20.0ms
(sqrt (sqrt (+ z x)))
13.0ms
(* y (sqrt (+ z x)))
37.0ms
(* (* y (sqrt (+ z x))) (sqrt (sqrt (+ z x))))
16.0ms
(* (* (* y (sqrt (+ z x))) (sqrt (sqrt (+ z x)))) (sqrt (sqrt (+ z x))))

simplify89.0ms

Algorithm
egg-herbie
Counts
146 → 146
Iterations

Useful iterations: 2 (74.0ms)

IterNodesCost
07541576
134901360
250021298

prune133.0ms

Filtered
92 candidates to 146 candidates (-58.7%)
Pruning

4 alts after pruning (0 fresh and 4 done)

PrunedKeptTotal
New1460146
Fresh000
Picked011
Done033
Total1464150

Merged error: 0b

Counts
150 → 4

regimes185.0ms

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
093
193

end0.0ms

sample3.5s

Algorithm
intervals
sampling

Space saved by range analysis: 0%

Space saved by search: 17.510986%

Guaranteed chance to sample good point: 85.334813%

Results
190.0ms8000×body80valid
8.0ms356×body80invalid

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