Details

Time bar (total: 2.4s)

sample12.0ms

Algorithm
intervals
Results
5.0ms358×body80valid

simplify6.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
072
1102
2102

prune2.0ms

Filtered
1 candidates to 0 candidates (0.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.2b

Counts
2 → 1

localize3.0ms

Local error

Found 1 expressions with local error:

0.2b
(* (* x 3.0) x)

rewrite6.0ms

Algorithm
rewrite-expression-head
Rules
6×pow1 add-exp-log add-cbrt-cube
3×associate-*r* pow-prod-down prod-exp cbrt-unprod
2×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
1×associate-*l* *-commutative add-log-exp
Counts
1 → 18
Calls
1 calls:
5.0ms
(* (* x 3.0) x)

series31.0ms

Counts
1 → 3
Calls
1 calls:
31.0ms
(* (* x 3.0) x)

simplify59.0ms

Algorithm
egg-herbie
Counts
21 → 21
Iterations

Useful iterations: 3 (56.0ms)

IterNodesCost
09472
143357
2229557
3500156

prune23.0ms

Filtered
21 candidates to 10 candidates (47.6%)
Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New17421
Fresh000
Picked011
Done000
Total17522

Merged error: 0.1b

Counts
22 → 5

localize5.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (* x 3.0) x)
0.3b
(* (sqrt (* (* x 3.0) x)) (sqrt (* (* x 3.0) x)))
17.2b
(sqrt (* (* x 3.0) x))
17.2b
(sqrt (* (* x 3.0) x))

rewrite31.0ms

Algorithm
rewrite-expression-head
Rules
148×pow1
80×pow-prod-down
66×sqrt-pow1
17×pow-prod-up
14×pow1/2
11×add-exp-log add-sqr-sqrt pow-sqr add-cbrt-cube
9×add-cube-cbrt *-un-lft-identity
7×associate-*r*
6×sqrt-prod
5×associate-*l*
4×swap-sqr prod-exp cbrt-unprod add-log-exp
2×*-commutative
1×pow2 pow-plus sqrt-unprod rem-square-sqrt unswap-sqr
Counts
4 → 108
Calls
4 calls:
5.0ms
(* (* x 3.0) x)
11.0ms
(* (sqrt (* (* x 3.0) x)) (sqrt (* (* x 3.0) x)))
3.0ms
(sqrt (* (* x 3.0) x))
4.0ms
(sqrt (* (* x 3.0) x))

series170.0ms

Counts
4 → 12
Calls
4 calls:
31.0ms
(* (* x 3.0) x)
72.0ms
(* (sqrt (* (* x 3.0) x)) (sqrt (* (* x 3.0) x)))
33.0ms
(sqrt (* (* x 3.0) x))
34.0ms
(sqrt (* (* x 3.0) x))

simplify44.0ms

Algorithm
egg-herbie
Counts
120 → 120
Iterations

Useful iterations: 2 (37.0ms)

IterNodesCost
0177368
1939307
25001296

prune103.0ms

Filtered
120 candidates to 50 candidates (41.7%)
Pruning

8 alts after pruning (6 fresh and 2 done)

PrunedKeptTotal
New1164120
Fresh123
Picked011
Done011
Total1178125

Merged error: 0.0b

Counts
125 → 8

localize14.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt x)
0.6b
(cbrt x)
17.2b
(sqrt (* (* (* x 3.0) (* (cbrt x) (cbrt x))) (cbrt x)))
17.2b
(sqrt (* (* x 3.0) x))

rewrite16.0ms

Algorithm
rewrite-expression-head
Rules
29×pow1
16×pow-prod-down
9×sqrt-pow1
6×cbrt-prod add-sqr-sqrt add-cube-cbrt *-un-lft-identity
4×add-exp-log add-cbrt-cube add-log-exp
2×pow1/2 pow1/3 sqrt-prod
Counts
4 → 49
Calls
4 calls:
1.0ms
(cbrt x)
1.0ms
(cbrt x)
9.0ms
(sqrt (* (* (* x 3.0) (* (cbrt x) (cbrt x))) (cbrt x)))
4.0ms
(sqrt (* (* x 3.0) x))

series455.0ms

Counts
4 → 12
Calls
4 calls:
180.0ms
(cbrt x)
174.0ms
(cbrt x)
67.0ms
(sqrt (* (* (* x 3.0) (* (cbrt x) (cbrt x))) (cbrt x)))
33.0ms
(sqrt (* (* x 3.0) x))

simplify131.0ms

Algorithm
egg-herbie
Counts
61 → 61
Iterations

Useful iterations: 2 (8.0ms)

IterNodesCost
083218
1202203
2622159
33627159
45002159

prune124.0ms

Filtered
61 candidates to 45 candidates (73.8%)
Pruning

9 alts after pruning (6 fresh and 3 done)

PrunedKeptTotal
New60161
Fresh055
Picked011
Done022
Total60969

Merged error: 0.0b

Counts
69 → 9

localize8.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (pow (sqrt (sqrt (* (* x 3.0) x))) 3) (sqrt (sqrt (* (* x 3.0) x))))
0.6b
(pow (sqrt (sqrt (* (* x 3.0) x))) 3)
17.2b
(sqrt (* (* x 3.0) x))
17.2b
(sqrt (* (* x 3.0) x))

rewrite30.0ms

Algorithm
rewrite-expression-head
Rules
38×add-sqr-sqrt
37×sqrt-prod
25×pow1
20×associate-*l*
18×unpow-prod-down cube-prod
16×add-cube-cbrt *-un-lft-identity
14×sqrt-pow1
12×unswap-sqr
10×add-exp-log
9×pow-prod-down
7×pow-pow associate-*r* add-cbrt-cube
4×pow1/2 add-log-exp sqr-pow
3×pow-unpow prod-exp
2×cube-mult pow-to-exp unpow3 pow-exp
1×pow-plus *-commutative pow-prod-up sqrt-pow2 cbrt-unprod rem-cube-cbrt
Counts
4 → 115
Calls
4 calls:
13.0ms
(* (pow (sqrt (sqrt (* (* x 3.0) x))) 3) (sqrt (sqrt (* (* x 3.0) x))))
6.0ms
(pow (sqrt (sqrt (* (* x 3.0) x))) 3)
4.0ms
(sqrt (* (* x 3.0) x))
4.0ms
(sqrt (* (* x 3.0) x))

series514.0ms

Counts
4 → 12
Calls
4 calls:
253.0ms
(* (pow (sqrt (sqrt (* (* x 3.0) x))) 3) (sqrt (sqrt (* (* x 3.0) x))))
190.0ms
(pow (sqrt (sqrt (* (* x 3.0) x))) 3)
33.0ms
(sqrt (* (* x 3.0) x))
38.0ms
(sqrt (* (* x 3.0) x))

simplify71.0ms

Algorithm
egg-herbie
Counts
127 → 127
Iterations

Useful iterations: 2 (60.0ms)

IterNodesCost
0324962
11582746
25001653

prune173.0ms

Filtered
127 candidates to 63 candidates (49.6%)
Pruning

11 alts after pruning (8 fresh and 3 done)

PrunedKeptTotal
New1234127
Fresh145
Picked101
Done033
Total12511136

Merged error: 0.0b

Counts
136 → 11

regimes59.0ms

Accuracy

0% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
062
162

end0.0ms

sample266.0ms

Algorithm
intervals
Results
159.0ms10764×body80valid

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