Details

Time bar (total: 1.4s)

sample11.0ms

Algorithm
intervals
Results
5.0ms334×body80valid

simplify4.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
072
1102
2102

prune2.0ms

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)

rewrite5.0ms

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:
4.0ms
(* (* x 3.0) x)

series3.0ms

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

simplify51.0ms

Algorithm
egg-herbie
Counts
21 → 21
Iterations

Useful iterations: 3 (48.0ms)

IterNodesCost
09472
143357
2229557
3500156

prune30.0ms

Filtered
10 candidates to 21 candidates (-110.0%)
Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New16521
Fresh000
Picked011
Done000
Total16622

Merged error: 0.0b

Counts
22 → 6

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)))
19.6b
(sqrt (* (* x 3.0) x))
19.6b
(sqrt (* (* x 3.0) x))

rewrite27.0ms

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:
4.0ms
(* (* x 3.0) x)
11.0ms
(* (sqrt (* (* x 3.0) x)) (sqrt (* (* x 3.0) x)))
3.0ms
(sqrt (* (* x 3.0) x))
3.0ms
(sqrt (* (* x 3.0) x))

series20.0ms

Counts
4 → 12
Calls
4 calls:
3.0ms
(* (* x 3.0) x)
10.0ms
(* (sqrt (* (* x 3.0) x)) (sqrt (* (* x 3.0) x)))
3.0ms
(sqrt (* (* x 3.0) x))
4.0ms
(sqrt (* (* x 3.0) x))

simplify41.0ms

Algorithm
egg-herbie
Counts
120 → 120
Iterations

Useful iterations: 2 (35.0ms)

IterNodesCost
0177368
1939307
25001296

prune116.0ms

Filtered
49 candidates to 120 candidates (-144.9%)
Pruning

10 alts after pruning (8 fresh and 2 done)

PrunedKeptTotal
New1146120
Fresh224
Picked011
Done011
Total11610126

Merged error: 0.0b

Counts
126 → 10

localize8.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (sqrt (sqrt (* (* x 3.0) x))) (sqrt (sqrt (* (* x 3.0) x))))
19.6b
(sqrt (* (* x 3.0) x))
19.6b
(sqrt (* (* x 3.0) x))
19.6b
(sqrt (* (* x 3.0) x))

rewrite32.0ms

Algorithm
rewrite-expression-head
Rules
157×pow1
149×sqrt-pow1
82×pow-prod-down
29×sqrt-prod
24×add-sqr-sqrt
23×pow1/2
21×pow-prod-up
13×pow-sqr
12×add-cube-cbrt *-un-lft-identity
9×swap-sqr
7×associate-*r* associate-*l*
6×add-exp-log add-cbrt-cube
4×add-log-exp unswap-sqr
1×pow2 pow-plus sqrt-unprod prod-exp rem-square-sqrt *-commutative cbrt-unprod
Counts
4 → 124
Calls
4 calls:
15.0ms
(* (sqrt (sqrt (* (* x 3.0) x))) (sqrt (sqrt (* (* x 3.0) x))))
3.0ms
(sqrt (* (* x 3.0) x))
4.0ms
(sqrt (* (* x 3.0) x))
4.0ms
(sqrt (* (* x 3.0) x))

series15.0ms

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

simplify170.0ms

Algorithm
egg-herbie
Counts
136 → 136
Iterations

Useful iterations: 3 (158.0ms)

IterNodesCost
0136483
1547444
23362420
35001399

prune162.0ms

Filtered
58 candidates to 136 candidates (-134.5%)
Pruning

9 alts after pruning (7 fresh and 2 done)

PrunedKeptTotal
New1351136
Fresh167
Picked101
Done022
Total1379146

Merged error: 0.0b

Counts
146 → 9

localize13.0ms

Local error

Found 4 expressions with local error:

19.6b
(sqrt (* (* (cbrt (* (* x 3.0) x)) (cbrt (* (* x 3.0) x))) (cbrt (* (* x 3.0) x))))
20.4b
(cbrt (* (* x 3.0) x))
20.4b
(cbrt (* (* x 3.0) x))
20.4b
(cbrt (* (* x 3.0) x))

rewrite20.0ms

Algorithm
rewrite-expression-head
Rules
24×pow1
15×sqrt-pow1
12×pow1/3
9×pow-prod-up
6×pow-plus
5×pow-prod-down
4×add-exp-log add-sqr-sqrt add-cube-cbrt *-un-lft-identity add-cbrt-cube add-log-exp
3×cbrt-prod pow-sqr
2×pow2
1×pow1/2 pow3 sqrt-prod
Counts
4 → 51
Calls
4 calls:
8.0ms
(sqrt (* (* (cbrt (* (* x 3.0) x)) (cbrt (* (* x 3.0) x))) (cbrt (* (* x 3.0) x))))
3.0ms
(cbrt (* (* x 3.0) x))
4.0ms
(cbrt (* (* x 3.0) x))
4.0ms
(cbrt (* (* x 3.0) x))

series87.0ms

Counts
4 → 12
Calls
4 calls:
11.0ms
(sqrt (* (* (cbrt (* (* x 3.0) x)) (cbrt (* (* x 3.0) x))) (cbrt (* (* x 3.0) x))))
27.0ms
(cbrt (* (* x 3.0) x))
24.0ms
(cbrt (* (* x 3.0) x))
25.0ms
(cbrt (* (* x 3.0) x))

simplify73.0ms

Algorithm
egg-herbie
Counts
63 → 63
Iterations

Useful iterations: 2 (15.0ms)

IterNodesCost
0123338
1322306
21708267
35002267

prune121.0ms

Filtered
43 candidates to 63 candidates (-46.5%)
Pruning

9 alts after pruning (6 fresh and 3 done)

PrunedKeptTotal
New63063
Fresh066
Picked011
Done022
Total63972

Merged error: 0.0b

Counts
72 → 9

regimes95.0ms

Accuracy

0% (0.1b 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

sample312.0ms

Algorithm
intervals
Results
166.0ms10653×body80valid

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