Details

Time bar (total: 2.9s)

sample45.0ms

Algorithm
intervals
Results
11.0ms276×body80valid
9.0ms260×body80nan

simplify3.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
010510
110510

prune11.0ms

Filtered
1 candidates to 1 candidates (0.0%)
Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New101
Fresh011
Picked000
Done000
Total112

Merged error: 0.1b

Counts
2 → 1

localize8.0ms

Local error

Found 2 expressions with local error:

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

rewrite10.0ms

Algorithm
rewrite-expression-head
Rules
9×add-sqr-sqrt
6×associate-*r*
5×add-cube-cbrt *-un-lft-identity
4×pow1 add-exp-log sqrt-prod add-cbrt-cube add-log-exp
3×associate-*l*
2×unswap-sqr
1×+-commutative flip3-+ pow-prod-down prod-exp sum-log *-commutative cbrt-unprod flip-+
Counts
2 → 33
Calls
2 calls:
3.0ms
(+ x (* y (sqrt z)))
6.0ms
(* y (sqrt z))

series16.0ms

Counts
2 → 6
Calls
2 calls:
9.0ms
(+ x (* y (sqrt z)))
7.0ms
(* y (sqrt z))

simplify32.0ms

Algorithm
egg-herbie
Counts
39 → 39
Iterations

Useful iterations: 0 (29.0ms)

IterNodesCost
05444299

prune76.0ms

Filtered
30 candidates to 39 candidates (-30.0%)
Pruning

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New32739
Fresh000
Picked011
Done000
Total32840

Merged error: 0.0b

Counts
40 → 8

localize11.0ms

Local error

Found 4 expressions with local error:

0.1b
(sqrt (sqrt z))
0.1b
(sqrt (sqrt z))
0.3b
(* (* y (sqrt (sqrt z))) (sqrt (sqrt z)))
0.3b
(* y (sqrt (sqrt z)))

rewrite28.0ms

Algorithm
rewrite-expression-head
Rules
41×sqrt-prod
25×add-sqr-sqrt
18×associate-*r*
15×pow1 add-cube-cbrt *-un-lft-identity
11×add-exp-log add-cbrt-cube
8×sqrt-pow1
4×rem-sqrt-square pow1/2 associate-*l* pow-prod-down prod-exp cbrt-unprod add-log-exp
3×unswap-sqr
2×*-commutative
Counts
4 → 88
Calls
4 calls:
5.0ms
(sqrt (sqrt z))
2.0ms
(sqrt (sqrt z))
10.0ms
(* (* y (sqrt (sqrt z))) (sqrt (sqrt z)))
7.0ms
(* y (sqrt (sqrt z)))

series53.0ms

Counts
4 → 12
Calls
4 calls:
17.0ms
(sqrt (sqrt z))
17.0ms
(sqrt (sqrt z))
7.0ms
(* (* y (sqrt (sqrt z))) (sqrt (sqrt z)))
12.0ms
(* y (sqrt (sqrt z)))

simplify44.0ms

Algorithm
egg-herbie
Counts
100 → 100
Iterations

Useful iterations: 0 (37.0ms)

IterNodesCost
04940622
14940622

prune117.0ms

Filtered
56 candidates to 100 candidates (-78.6%)
Pruning

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New973100
Fresh246
Picked101
Done011
Total1008108

Merged error: 0.0b

Counts
108 → 8

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ x (* (* y (sqrt (sqrt z))) (pow z 1/4)))
0.1b
(sqrt (sqrt z))
0.3b
(* (* y (sqrt (sqrt z))) (pow z 1/4))
0.3b
(* y (sqrt (sqrt z)))

rewrite25.0ms

Algorithm
rewrite-expression-head
Rules
22×sqrt-prod
20×add-sqr-sqrt
19×add-exp-log
16×associate-*r*
12×add-cube-cbrt *-un-lft-identity
11×add-cbrt-cube
10×prod-exp
8×pow1
6×add-log-exp
4×sqrt-pow1 associate-*l* cbrt-unprod
3×unpow-prod-down unswap-sqr
2×pow-to-exp rem-sqrt-square pow1/2 pow-exp *-commutative
1×+-commutative flip3-+ pow-prod-down sum-log flip-+ sqr-pow
Counts
4 → 80
Calls
4 calls:
3.0ms
(+ x (* (* y (sqrt (sqrt z))) (pow z 1/4)))
3.0ms
(sqrt (sqrt z))
9.0ms
(* (* y (sqrt (sqrt z))) (pow z 1/4))
8.0ms
(* y (sqrt (sqrt z)))

series60.0ms

Counts
4 → 12
Calls
4 calls:
15.0ms
(+ x (* (* y (sqrt (sqrt z))) (pow z 1/4)))
17.0ms
(sqrt (sqrt z))
16.0ms
(* (* y (sqrt (sqrt z))) (pow z 1/4))
12.0ms
(* y (sqrt (sqrt z)))

simplify41.0ms

Algorithm
egg-herbie
Counts
92 → 92
Iterations

Useful iterations: 0 (34.0ms)

IterNodesCost
04928825
14928825

prune137.0ms

Filtered
59 candidates to 92 candidates (-55.9%)
Pruning

8 alts after pruning (6 fresh and 2 done)

PrunedKeptTotal
New91192
Fresh156
Picked011
Done011
Total928100

Merged error: 0.0b

Counts
100 → 8

localize17.0ms

Local error

Found 4 expressions with local error:

0.2b
(sqrt (pow z 1/4))
0.3b
(* y (* (sqrt (sqrt z)) (sqrt (pow z 1/4))))
0.3b
(* (* y (* (sqrt (sqrt z)) (sqrt (pow z 1/4)))) (sqrt (pow z 1/4)))
0.3b
(* (sqrt (sqrt z)) (sqrt (pow z 1/4)))

rewrite48.0ms

Algorithm
rewrite-expression-head
Rules
51×sqrt-prod
39×add-sqr-sqrt
21×pow1 associate-*r*
20×add-exp-log add-cbrt-cube
16×add-cube-cbrt *-un-lft-identity
13×unpow-prod-down associate-*l*
12×unswap-sqr
11×pow-prod-down
10×prod-exp cbrt-unprod
7×sqr-pow
6×sqrt-pow1
4×pow1/2 add-log-exp
3×rem-sqrt-square *-commutative
2×pow-prod-up
1×sqrt-unprod
Counts
4 → 111
Calls
4 calls:
3.0ms
(sqrt (pow z 1/4))
12.0ms
(* y (* (sqrt (sqrt z)) (sqrt (pow z 1/4))))
19.0ms
(* (* y (* (sqrt (sqrt z)) (sqrt (pow z 1/4)))) (sqrt (pow z 1/4)))
11.0ms
(* (sqrt (sqrt z)) (sqrt (pow z 1/4)))

series83.0ms

Counts
4 → 12
Calls
4 calls:
27.0ms
(sqrt (pow z 1/4))
21.0ms
(* y (* (sqrt (sqrt z)) (sqrt (pow z 1/4))))
14.0ms
(* (* y (* (sqrt (sqrt z)) (sqrt (pow z 1/4)))) (sqrt (pow z 1/4)))
22.0ms
(* (sqrt (sqrt z)) (sqrt (pow z 1/4)))

simplify45.0ms

Algorithm
egg-herbie
Counts
123 → 123
Iterations

Useful iterations: 0 (35.0ms)

IterNodesCost
049291288
149291288

prune212.0ms

Filtered
77 candidates to 123 candidates (-59.7%)
Pruning

7 alts after pruning (5 fresh and 2 done)

PrunedKeptTotal
New1221123
Fresh145
Picked101
Done022
Total1247131

Merged error: 0.0b

Counts
131 → 7

regimes470.0ms

Accuracy

0% (0.1b remaining)

Error of 0.2b against oracle of 0.1b and baseline of 0.2b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01310
11310

end0.0ms

sample1.3s

Algorithm
intervals
Results
342.0ms8574×body80valid
323.0ms8511×body80nan

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