Details

Time bar (total: 1.4s)

sample13.0ms

Algorithm
intervals
Results
5.0ms365×body80valid

simplify3.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
095
195

prune4.0ms

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: 0.2b

Counts
2 → 1

localize3.0ms

Local error

Found 1 expressions with local error:

0.2b
(* (* x 3.0) x)

rewrite9.0ms

Algorithm
rewrite-expression-head
Rules
pow1 add-exp-log add-cbrt-cube
associate-*r* pow-prod-down prod-exp cbrt-unprod
add-sqr-sqrt add-cube-cbrt *-un-lft-identity
associate-*l* *-commutative add-log-exp
Counts
1 → 18
Calls
1 calls:
9.0ms
(* (* x 3.0) x)

series3.0ms

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

simplify43.0ms

Algorithm
egg-herbie
Counts
21 → 21
Iterations

Useful iterations: 0 (40.0ms)

IterNodesCost
05188121

prune30.0ms

Filtered
11 candidates to 21 candidates (-90.9%)
Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New16521
Fresh000
Picked011
Done000
Total16622

Merged error: 0.1b

Counts
22 → 6

localize5.0ms

Local error

Found 4 expressions with local error:

0.2b
(* x (* x 3.0))
0.3b
(* (sqrt (* x (* x 3.0))) (sqrt (* x (* x 3.0))))
20.2b
(sqrt (* x (* x 3.0)))
20.2b
(sqrt (* x (* x 3.0)))

rewrite29.0ms

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
add-cube-cbrt *-un-lft-identity
associate-*l*
sqrt-prod
associate-*r*
swap-sqr prod-exp cbrt-unprod add-log-exp
*-commutative
pow2 pow-plus sqrt-unprod rem-square-sqrt unswap-sqr
Counts
4 → 108
Calls
4 calls:
5.0ms
(* x (* x 3.0))
12.0ms
(* (sqrt (* x (* x 3.0))) (sqrt (* x (* x 3.0))))
3.0ms
(sqrt (* x (* x 3.0)))
4.0ms
(sqrt (* x (* x 3.0)))

series20.0ms

Counts
4 → 12
Calls
4 calls:
3.0ms
(* x (* x 3.0))
7.0ms
(* (sqrt (* x (* x 3.0))) (sqrt (* x (* x 3.0))))
4.0ms
(sqrt (* x (* x 3.0)))
7.0ms
(sqrt (* x (* x 3.0)))

simplify38.0ms

Algorithm
egg-herbie
Counts
120 → 120
Iterations

Useful iterations: 0 (31.0ms)

IterNodesCost
05434524

prune125.0ms

Filtered
54 candidates to 120 candidates (-122.2%)
Pruning

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New1146120
Fresh314
Picked101
Done011
Total1188126

Merged error: 0.0b

Counts
126 → 8

localize8.0ms

Local error

Found 4 expressions with local error:

0.2b
(* x (* x 3.0))
0.3b
(* (fabs (* x (sqrt 3.0))) (sqrt (* x (* x 3.0))))
0.4b
(* x (sqrt 3.0))
20.2b
(sqrt (* x (* x 3.0)))

rewrite22.0ms

Algorithm
rewrite-expression-head
Rules
19×pow1
16×add-sqr-sqrt
13×add-exp-log add-cbrt-cube
11×associate-*r*
10×add-cube-cbrt *-un-lft-identity
associate-*l*
pow-prod-down
sqrt-prod
prod-exp cbrt-unprod
add-log-exp
sqrt-pow1 *-commutative unswap-sqr
pow1/2
Counts
4 → 71
Calls
4 calls:
5.0ms
(* x (* x 3.0))
7.0ms
(* (fabs (* x (sqrt 3.0))) (sqrt (* x (* x 3.0))))
5.0ms
(* x (sqrt 3.0))
4.0ms
(sqrt (* x (* x 3.0)))

series20.0ms

Counts
4 → 12
Calls
4 calls:
3.0ms
(* x (* x 3.0))
9.0ms
(* (fabs (* x (sqrt 3.0))) (sqrt (* x (* x 3.0))))
4.0ms
(* x (sqrt 3.0))
4.0ms
(sqrt (* x (* x 3.0)))

simplify60.0ms

Algorithm
egg-herbie
Counts
83 → 83
Iterations

Useful iterations: 0 (52.0ms)

IterNodesCost
05008490

prune149.0ms

Filtered
51 candidates to 83 candidates (-62.7%)
Pruning

7 alts after pruning (5 fresh and 2 done)

PrunedKeptTotal
New81283
Fresh336
Picked011
Done011
Total84791

Merged error: 0b

Counts
91 → 7

localize12.0ms

Local error

Found 4 expressions with local error:

0.3b
(* (fabs (* (* x (* (cbrt (sqrt 3.0)) (cbrt (sqrt 3.0)))) (cbrt (sqrt 3.0)))) (sqrt (* x (* x 3.0))))
0.3b
(* x (* (cbrt (sqrt 3.0)) (cbrt (sqrt 3.0))))
1.0b
(* (cbrt (sqrt 3.0)) (cbrt (sqrt 3.0)))
20.2b
(sqrt (* x (* x 3.0)))

rewrite31.0ms

Algorithm
rewrite-expression-head
Rules
44×add-sqr-sqrt
40×cbrt-prod
24×pow1
22×sqrt-prod
19×add-cube-cbrt *-un-lft-identity
15×associate-*l*
14×associate-*r*
13×add-exp-log
11×swap-sqr unswap-sqr
pow-prod-down add-cbrt-cube
pow1/3
prod-exp cbrt-unprod
add-log-exp
sqrt-pow1 *-commutative
pow-sqr pow-prod-up
pow2 pow-plus pow1/2
Counts
4 → 106
Calls
4 calls:
7.0ms
(* (fabs (* (* x (* (cbrt (sqrt 3.0)) (cbrt (sqrt 3.0)))) (cbrt (sqrt 3.0)))) (sqrt (* x (* x 3.0))))
8.0ms
(* x (* (cbrt (sqrt 3.0)) (cbrt (sqrt 3.0))))
8.0ms
(* (cbrt (sqrt 3.0)) (cbrt (sqrt 3.0)))
4.0ms
(sqrt (* x (* x 3.0)))

series47.0ms

Counts
4 → 10
Calls
4 calls:
7.0ms
(* (fabs (* (* x (* (cbrt (sqrt 3.0)) (cbrt (sqrt 3.0)))) (cbrt (sqrt 3.0)))) (sqrt (* x (* x 3.0))))
36.0ms
(* x (* (cbrt (sqrt 3.0)) (cbrt (sqrt 3.0))))
0.0ms
(* (cbrt (sqrt 3.0)) (cbrt (sqrt 3.0)))
4.0ms
(sqrt (* x (* x 3.0)))

simplify70.0ms

Algorithm
egg-herbie
Counts
116 → 116
Iterations

Useful iterations: 0 (61.0ms)

IterNodesCost
05007778

prune209.0ms

Filtered
69 candidates to 116 candidates (-68.1%)
Pruning

7 alts after pruning (4 fresh and 3 done)

PrunedKeptTotal
New1160116
Fresh044
Picked011
Done022
Total1167123

Merged error: 0b

Counts
123 → 7

regimes85.0ms

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
065
165

end0.0ms

sample322.0ms

Algorithm
intervals
Results
168.0ms10571×body80valid

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