Details

Time bar (total: 2.5s)

sample11.0ms

Algorithm
intervals
Results
5.0ms340×body80valid

simplify5.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
072
1102
2102

prune1.0ms

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)

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×expm1-log1p-u associate-*l* *-commutative log1p-expm1-u add-log-exp
Counts
1 → 20
Calls
1 calls:
5.0ms
(* (* x 3.0) x)

series25.0ms

Counts
1 → 3
Calls
1 calls:
25.0ms
(* (* x 3.0) x)

simplify52.0ms

Algorithm
egg-herbie
Counts
23 → 23
Iterations

Useful iterations: 3 (49.0ms)

IterNodesCost
09678
143563
2229863
3500162

prune28.0ms

Filtered
23 candidates to 12 candidates (52.2%)
Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New19423
Fresh000
Picked011
Done000
Total19524

Merged error: 0.1b

Counts
24 → 5

localize5.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (* x 3.0) x)
0.4b
(* (sqrt (* (* x 3.0) x)) (sqrt (* (* x 3.0) x)))
14.4b
(sqrt (* (* x 3.0) x))
14.4b
(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×expm1-log1p-u swap-sqr prod-exp cbrt-unprod log1p-expm1-u add-log-exp
2×*-commutative
1×pow2 pow-plus sqrt-unprod rem-square-sqrt unswap-sqr
Counts
4 → 116
Calls
4 calls:
5.0ms
(* (* x 3.0) x)
11.0ms
(* (sqrt (* (* x 3.0) x)) (sqrt (* (* x 3.0) x)))
4.0ms
(sqrt (* (* x 3.0) x))
4.0ms
(sqrt (* (* x 3.0) x))

series166.0ms

Counts
4 → 12
Calls
4 calls:
25.0ms
(* (* x 3.0) x)
69.0ms
(* (sqrt (* (* x 3.0) x)) (sqrt (* (* x 3.0) x)))
37.0ms
(sqrt (* (* x 3.0) x))
34.0ms
(sqrt (* (* x 3.0) x))

simplify61.0ms

Algorithm
egg-herbie
Counts
128 → 128
Iterations

Useful iterations: 2 (54.0ms)

IterNodesCost
0183396
1948335
25001324

prune120.0ms

Filtered
128 candidates to 58 candidates (45.3%)
Pruning

7 alts after pruning (5 fresh and 2 done)

PrunedKeptTotal
New1253128
Fresh123
Picked011
Done011
Total1267133

Merged error: 0.0b

Counts
133 → 7

localize8.0ms

Local error

Found 4 expressions with local error:

0.3b
(* (pow (sqrt (sqrt (* (* x 3.0) x))) 3) (sqrt (sqrt (* (* x 3.0) x))))
0.7b
(pow (sqrt (sqrt (* (* x 3.0) x))) 3)
14.4b
(sqrt (* (* x 3.0) x))
14.4b
(sqrt (* (* x 3.0) x))

rewrite33.0ms

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×expm1-log1p-u pow1/2 log1p-expm1-u 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 → 123
Calls
4 calls:
16.0ms
(* (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))

series330.0ms

Counts
4 → 12
Calls
4 calls:
73.0ms
(* (pow (sqrt (sqrt (* (* x 3.0) x))) 3) (sqrt (sqrt (* (* x 3.0) x))))
189.0ms
(pow (sqrt (sqrt (* (* x 3.0) x))) 3)
34.0ms
(sqrt (* (* x 3.0) x))
34.0ms
(sqrt (* (* x 3.0) x))

simplify66.0ms

Algorithm
egg-herbie
Counts
135 → 135
Iterations

Useful iterations: 2 (55.0ms)

IterNodesCost
0335976
11589792
25002698

prune194.0ms

Filtered
135 candidates to 72 candidates (53.3%)
Pruning

10 alts after pruning (7 fresh and 3 done)

PrunedKeptTotal
New1323135
Fresh044
Picked011
Done022
Total13210142

Merged error: 0.0b

Counts
142 → 10

localize7.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt x) (cbrt x))
0.6b
(cbrt x)
0.6b
(cbrt x)
0.6b
(cbrt x)

rewrite11.0ms

Algorithm
rewrite-expression-head
Rules
25×cbrt-prod
23×add-sqr-sqrt
15×add-cube-cbrt *-un-lft-identity
11×pow1
9×pow1/3
6×add-exp-log swap-sqr associate-*r* associate-*l*
4×expm1-log1p-u add-cbrt-cube log1p-expm1-u add-log-exp unswap-sqr
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 81
Calls
4 calls:
6.0ms
(* (cbrt x) (cbrt x))
1.0ms
(cbrt x)
1.0ms
(cbrt x)
1.0ms
(cbrt x)

series741.0ms

Counts
4 → 12
Calls
4 calls:
202.0ms
(* (cbrt x) (cbrt x))
179.0ms
(cbrt x)
187.0ms
(cbrt x)
173.0ms
(cbrt x)

simplify89.0ms

Algorithm
egg-herbie
Counts
93 → 93
Iterations

Useful iterations: 3 (83.0ms)

IterNodesCost
0119308
1477281
22972258
35001255

prune147.0ms

Filtered
93 candidates to 72 candidates (77.4%)
Pruning

8 alts after pruning (5 fresh and 3 done)

PrunedKeptTotal
New92193
Fresh246
Picked011
Done123
Total958103

Merged error: 0.0b

Counts
103 → 8

regimes48.0ms

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

sample280.0ms

Algorithm
intervals
Results
168.0ms10679×body80valid

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