Details

Time bar (total: 4.1s)

sample14.0ms

Algorithm
intervals
Results
7.0ms330×body80valid

simplify24.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0194
1414
2694
3904
41054
51474
62264
73684
84154
94154

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: 0.1b

Counts
2 → 1

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ 0.253 (* x 0.12))
0.1b
(* x (+ 0.253 (* x 0.12)))

rewrite8.0ms

Algorithm
rewrite-expression-head
Rules
6×add-sqr-sqrt
4×pow1 add-exp-log add-cube-cbrt *-un-lft-identity add-cbrt-cube add-log-exp
3×associate-*r* associate-*l*
2×flip3-+ associate-*r/ flip-+
1×+-commutative distribute-rgt-in distribute-lft-in pow-prod-down prod-exp sum-log *-commutative cbrt-unprod unswap-sqr
Counts
2 → 33
Calls
2 calls:
3.0ms
(+ 0.253 (* x 0.12))
5.0ms
(* x (+ 0.253 (* x 0.12)))

series97.0ms

Counts
2 → 6
Calls
2 calls:
33.0ms
(+ 0.253 (* x 0.12))
64.0ms
(* x (+ 0.253 (* x 0.12)))

simplify109.0ms

Algorithm
egg-herbie
Counts
39 → 39
Iterations

Useful iterations: 1 (6.0ms)

IterNodesCost
0166173
1767154
24026154
35002154

prune55.0ms

Filtered
39 candidates to 27 candidates (69.2%)
Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New35439
Fresh000
Picked011
Done000
Total35540

Merged error: 0.0b

Counts
40 → 5

localize9.0ms

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×add-cbrt-cube 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 → 73
Calls
4 calls:
5.0ms
(* (cbrt x) (cbrt x))
1.0ms
(cbrt x)
1.0ms
(cbrt x)
1.0ms
(cbrt x)

series709.0ms

Counts
4 → 12
Calls
4 calls:
206.0ms
(* (cbrt x) (cbrt x))
171.0ms
(cbrt x)
166.0ms
(cbrt x)
165.0ms
(cbrt x)

simplify108.0ms

Algorithm
egg-herbie
Counts
85 → 85
Iterations

Useful iterations: 3 (101.0ms)

IterNodesCost
0115288
1472261
22959238
35003235

prune159.0ms

Filtered
85 candidates to 64 candidates (75.3%)
Pruning

6 alts after pruning (4 fresh and 2 done)

PrunedKeptTotal
New83285
Fresh123
Picked011
Done011
Total84690

Merged error: 0.0b

Counts
90 → 6

localize20.0ms

Local error

Found 4 expressions with local error:

0.3b
(* (cbrt x) (+ 0.253 (* x 0.12)))
0.3b
(* (cbrt (pow x 2)) (* (cbrt x) (+ 0.253 (* x 0.12))))
0.6b
(cbrt x)
20.1b
(cbrt (pow x 2))

rewrite25.0ms

Algorithm
rewrite-expression-head
Rules
23×cbrt-prod
17×add-sqr-sqrt associate-*l*
13×add-cube-cbrt *-un-lft-identity
11×pow1 add-exp-log
7×add-cbrt-cube
6×unpow-prod-down associate-*r/
5×distribute-rgt-in distribute-lft-in
4×associate-*r* pow-prod-down prod-exp cbrt-unprod add-log-exp
2×flip3-+ pow1/3 *-commutative flip-+ unpow2 unswap-sqr sqr-pow
Counts
4 → 85
Calls
4 calls:
6.0ms
(* (cbrt x) (+ 0.253 (* x 0.12)))
13.0ms
(* (cbrt (pow x 2)) (* (cbrt x) (+ 0.253 (* x 0.12))))
1.0ms
(cbrt x)
2.0ms
(cbrt (pow x 2))

series770.0ms

Counts
4 → 12
Calls
4 calls:
335.0ms
(* (cbrt x) (+ 0.253 (* x 0.12)))
81.0ms
(* (cbrt (pow x 2)) (* (cbrt x) (+ 0.253 (* x 0.12))))
177.0ms
(cbrt x)
176.0ms
(cbrt (pow x 2))

simplify55.0ms

Algorithm
egg-herbie
Counts
97 → 97
Iterations

Useful iterations: 2 (48.0ms)

IterNodesCost
0376590
11693524
25001508

prune194.0ms

Filtered
97 candidates to 71 candidates (73.2%)
Pruning

6 alts after pruning (3 fresh and 3 done)

PrunedKeptTotal
New97097
Fresh033
Picked011
Done022
Total976103

Merged error: 0.0b

Counts
103 → 6

localize14.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (cbrt x))
0.6b
(cbrt (cbrt x))
0.6b
(cbrt (cbrt x))
1.0b
(pow (cbrt (cbrt x)) 4)

rewrite10.0ms

Algorithm
rewrite-expression-head
Rules
36×cbrt-prod
14×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
9×unpow-prod-down
5×pow1 add-exp-log
4×pow1/3 add-cbrt-cube add-log-exp
3×pow-unpow
2×pow-pow
1×pow-to-exp pow-exp sqr-pow
Counts
4 → 66
Calls
4 calls:
2.0ms
(cbrt (cbrt x))
2.0ms
(cbrt (cbrt x))
2.0ms
(cbrt (cbrt x))
4.0ms
(pow (cbrt (cbrt x)) 4)

series1.0s

Counts
4 → 12
Calls
4 calls:
235.0ms
(cbrt (cbrt x))
235.0ms
(cbrt (cbrt x))
263.0ms
(cbrt (cbrt x))
297.0ms
(pow (cbrt (cbrt x)) 4)

simplify64.0ms

Algorithm
egg-herbie
Counts
78 → 78
Iterations

Useful iterations: 3 (59.0ms)

IterNodesCost
0138359
1420333
21539311
35001305

prune175.0ms

Filtered
78 candidates to 56 candidates (71.8%)
Pruning

6 alts after pruning (2 fresh and 4 done)

PrunedKeptTotal
New78078
Fresh022
Picked011
Done033
Total78684

Merged error: 0.0b

Counts
84 → 6

regimes58.0ms

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
0114
1114

end0.0ms

sample357.0ms

Algorithm
intervals
Results
246.0ms10787×body80valid