Details

Time bar (total: 3.5s)

sample34.0ms

Algorithm
intervals
Results
10.0ms276×body80valid
9.0ms286×body80nan

simplify18.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 1 (3.0ms)

IterNodesCost
0215
1514
2864
31264
41514
51694
61854
71874
81874

prune5.0ms

Filtered
1 candidates to 1 candidates (100.0%)
Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New101
Fresh011
Picked000
Done000
Total112

Merged error: 0.1b

Counts
2 → 1

localize7.0ms

Local error

Found 1 expressions with local error:

0.2b
(* y (sqrt z))

rewrite6.0ms

Algorithm
rewrite-expression-head
Rules
8×add-sqr-sqrt
6×associate-*r*
4×add-cube-cbrt *-un-lft-identity sqrt-prod
3×pow1 add-exp-log associate-*l* add-cbrt-cube
2×unswap-sqr
1×expm1-log1p-u pow-prod-down prod-exp *-commutative cbrt-unprod log1p-expm1-u add-log-exp
Counts
1 → 24
Calls
1 calls:
5.0ms
(* y (sqrt z))

series43.0ms

Counts
1 → 3
Calls
1 calls:
43.0ms
(* y (sqrt z))

simplify90.0ms

Algorithm
egg-herbie
Counts
27 → 27
Iterations

Useful iterations: 2 (19.0ms)

IterNodesCost
0154119
1621106
23007100
35001100

prune62.0ms

Filtered
27 candidates to 18 candidates (66.7%)
Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New22527
Fresh000
Picked011
Done000
Total22628

Merged error: 0.0b

Counts
28 → 6

localize9.0ms

Local error

Found 4 expressions with local error:

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

rewrite22.0ms

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×expm1-log1p-u rem-sqrt-square pow1/2 associate-*l* pow-prod-down prod-exp cbrt-unprod log1p-expm1-u add-log-exp
3×unswap-sqr
2×*-commutative
Counts
4 → 96
Calls
4 calls:
2.0ms
(sqrt (sqrt z))
2.0ms
(sqrt (sqrt z))
6.0ms
(* y (sqrt (sqrt z)))
9.0ms
(* (* y (sqrt (sqrt z))) (sqrt (sqrt z)))

series386.0ms

Counts
4 → 12
Calls
4 calls:
135.0ms
(sqrt (sqrt z))
129.0ms
(sqrt (sqrt z))
79.0ms
(* y (sqrt (sqrt z)))
43.0ms
(* (* y (sqrt (sqrt z))) (sqrt (sqrt z)))

simplify45.0ms

Algorithm
egg-herbie
Counts
108 → 108
Iterations

Useful iterations: 2 (38.0ms)

IterNodesCost
0351549
11510488
25001461

prune237.0ms

Filtered
108 candidates to 68 candidates (63.0%)
Pruning

9 alts after pruning (8 fresh and 1 done)

PrunedKeptTotal
New1035108
Fresh134
Picked101
Done011
Total1059114

Merged error: 0b

Counts
114 → 9

localize16.0ms

Local error

Found 3 expressions with local error:

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

rewrite18.0ms

Algorithm
rewrite-expression-head
Rules
19×sqrt-prod
18×add-exp-log add-sqr-sqrt
16×associate-*r*
11×add-cube-cbrt *-un-lft-identity
10×prod-exp add-cbrt-cube
7×pow1
4×unpow-prod-down sqrt-pow1 associate-*l* cbrt-unprod
3×expm1-log1p-u log1p-expm1-u add-log-exp unswap-sqr
2×pow-to-exp rem-sqrt-square pow1/2 pow-exp *-commutative sqr-pow
1×pow-prod-down
Counts
3 → 75
Calls
3 calls:
2.0ms
(sqrt (sqrt z))
5.0ms
(* y (pow z 1/4))
8.0ms
(* (* y (pow z 1/4)) (sqrt (sqrt z)))

series289.0ms

Counts
3 → 9
Calls
3 calls:
137.0ms
(sqrt (sqrt z))
63.0ms
(* y (pow z 1/4))
88.0ms
(* (* y (pow z 1/4)) (sqrt (sqrt z)))

simplify55.0ms

Algorithm
egg-herbie
Counts
84 → 84
Iterations

Useful iterations: 2 (48.0ms)

IterNodesCost
0415456
11930407
25001404

prune196.0ms

Filtered
84 candidates to 55 candidates (65.5%)
Pruning

9 alts after pruning (7 fresh and 2 done)

PrunedKeptTotal
New84084
Fresh077
Picked011
Done011
Total84993

Merged error: 0b

Counts
93 → 9

localize13.0ms

Local error

Found 4 expressions with local error:

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

rewrite38.0ms

Algorithm
rewrite-expression-head
Rules
69×sqrt-prod
33×associate-*r*
28×add-sqr-sqrt
23×pow1
20×add-exp-log add-cbrt-cube
19×add-cube-cbrt *-un-lft-identity
10×pow-prod-down prod-exp cbrt-unprod
9×sqrt-pow1
5×associate-*l*
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×rem-sqrt-square pow1/2 *-commutative unswap-sqr
Counts
4 → 116
Calls
4 calls:
3.0ms
(sqrt (sqrt (sqrt z)))
15.0ms
(* (* (* y (sqrt (sqrt z))) (sqrt (sqrt (sqrt z)))) (sqrt (sqrt (sqrt z))))
6.0ms
(* y (sqrt (sqrt z)))
11.0ms
(* (* y (sqrt (sqrt z))) (sqrt (sqrt (sqrt z))))

series394.0ms

Counts
4 → 12
Calls
4 calls:
151.0ms
(sqrt (sqrt (sqrt z)))
41.0ms
(* (* (* y (sqrt (sqrt z))) (sqrt (sqrt (sqrt z)))) (sqrt (sqrt (sqrt z))))
82.0ms
(* y (sqrt (sqrt z)))
120.0ms
(* (* y (sqrt (sqrt z))) (sqrt (sqrt (sqrt z))))

simplify70.0ms

Algorithm
egg-herbie
Counts
128 → 128
Iterations

Useful iterations: 2 (60.0ms)

IterNodesCost
0496973
12434819
25002736

prune273.0ms

Filtered
128 candidates to 76 candidates (59.4%)
Pruning

8 alts after pruning (5 fresh and 3 done)

PrunedKeptTotal
New1262128
Fresh336
Picked011
Done022
Total1298137

Merged error: 0b

Counts
137 → 8

regimes253.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0135
1135

end0.0ms

sample966.0ms

Algorithm
intervals
Results
313.0ms8541×body80valid
289.0ms8541×body80nan

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