Details

Time bar (total: 3.2s)

sample14.0ms

Algorithm
intervals
Results
7.0ms330×body80valid

simplify26.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0194
1414
2694
3904
41054
51474
62264
73684
84154
94154

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: 0.1b

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:
2.0ms
(+ 0.253 (* x 0.12))
5.0ms
(* x (+ 0.253 (* x 0.12)))

series103.0ms

Counts
2 → 6
Calls
2 calls:
37.0ms
(+ 0.253 (* x 0.12))
66.0ms
(* x (+ 0.253 (* x 0.12)))

simplify114.0ms

Algorithm
egg-herbie
Counts
39 → 39
Iterations

Useful iterations: 1 (6.0ms)

IterNodesCost
0166173
1767154
24026154
35002154

prune62.0ms

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 (+ 0.253 (* x 0.12)))) (cbrt (* x (+ 0.253 (* x 0.12)))))
0.6b
(cbrt (* x (+ 0.253 (* x 0.12))))
0.6b
(cbrt (* x (+ 0.253 (* x 0.12))))
0.6b
(cbrt (* x (+ 0.253 (* x 0.12))))

rewrite19.0ms

Algorithm
rewrite-expression-head
Rules
20×associate-*r/
18×cbrt-div
11×pow1
10×add-sqr-sqrt
9×flip3-+ pow1/3 flip-+
8×add-cube-cbrt *-un-lft-identity
7×cbrt-prod
6×add-exp-log
4×frac-times swap-sqr associate-*r* associate-*l* add-cbrt-cube add-log-exp
2×pow-prod-down associate-*l/ pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
4 → 72
Calls
4 calls:
6.0ms
(* (cbrt (* x (+ 0.253 (* x 0.12)))) (cbrt (* x (+ 0.253 (* x 0.12)))))
4.0ms
(cbrt (* x (+ 0.253 (* x 0.12))))
4.0ms
(cbrt (* x (+ 0.253 (* x 0.12))))
4.0ms
(cbrt (* x (+ 0.253 (* x 0.12))))

series769.0ms

Counts
4 → 12
Calls
4 calls:
168.0ms
(* (cbrt (* x (+ 0.253 (* x 0.12)))) (cbrt (* x (+ 0.253 (* x 0.12)))))
134.0ms
(cbrt (* x (+ 0.253 (* x 0.12))))
131.0ms
(cbrt (* x (+ 0.253 (* x 0.12))))
335.0ms
(cbrt (* x (+ 0.253 (* x 0.12))))

simplify52.0ms

Algorithm
egg-herbie
Counts
84 → 84
Iterations

Useful iterations: 2 (41.0ms)

IterNodesCost
04741148
118271083
25001902

prune225.0ms

Filtered
84 candidates to 67 candidates (79.8%)
Pruning

6 alts after pruning (4 fresh and 2 done)

PrunedKeptTotal
New82284
Fresh123
Picked011
Done011
Total83689

Merged error: 0.0b

Counts
89 → 6

localize13.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt x)
0.6b
(cbrt (* x (+ 0.253 (* x 0.12))))
0.6b
(cbrt (* x (+ 0.253 (* x 0.12))))
0.9b
(cbrt (+ 0.253 (* x 0.12)))

rewrite15.0ms

Algorithm
rewrite-expression-head
Rules
8×cbrt-prod
6×add-sqr-sqrt add-cube-cbrt cbrt-div *-un-lft-identity
4×pow1 add-exp-log pow1/3 associate-*r/ add-cbrt-cube add-log-exp
3×flip3-+ flip-+
Counts
4 → 46
Calls
4 calls:
1.0ms
(cbrt x)
7.0ms
(cbrt (* x (+ 0.253 (* x 0.12))))
4.0ms
(cbrt (* x (+ 0.253 (* x 0.12))))
2.0ms
(cbrt (+ 0.253 (* x 0.12)))

series571.0ms

Counts
4 → 12
Calls
4 calls:
184.0ms
(cbrt x)
129.0ms
(cbrt (* x (+ 0.253 (* x 0.12))))
135.0ms
(cbrt (* x (+ 0.253 (* x 0.12))))
123.0ms
(cbrt (+ 0.253 (* x 0.12)))

simplify40.0ms

Algorithm
egg-herbie
Counts
58 → 58
Iterations

Useful iterations: 2 (32.0ms)

IterNodesCost
0412625
11360597
25001509

prune204.0ms

Filtered
58 candidates to 53 candidates (91.4%)
Pruning

6 alts after pruning (3 fresh and 3 done)

PrunedKeptTotal
New58058
Fresh033
Picked011
Done022
Total58664

Merged error: 0.0b

Counts
64 → 6

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b
(- 0.253 (* x 0.12))
0.4b
(* (* x 0.12) (* x 0.12))
0.5b
(* x (- (* 0.253 0.253) (* (* x 0.12) (* x 0.12))))
6.7b
(/ (* x (- (* 0.253 0.253) (* (* x 0.12) (* x 0.12)))) (- 0.253 (* x 0.12)))

rewrite27.0ms

Algorithm
rewrite-expression-head
Rules
45×pow1
23×add-exp-log add-cbrt-cube
18×pow-prod-down
10×add-sqr-sqrt prod-exp cbrt-unprod
8×add-cube-cbrt *-un-lft-identity
6×add-log-exp
5×associate-*r*
4×flip3-- associate-*r/ associate-*l* pow-sqr pow-prod-up flip--
3×sub-neg times-frac associate-/r*
2×cbrt-undiv distribute-rgt-in distribute-lft-in pow-plus div-exp associate-/r/ *-commutative associate-/l/
1×pow2 frac-2neg diff-log swap-sqr clear-num div-inv associate-/l* difference-of-squares unswap-sqr
Counts
4 → 96
Calls
4 calls:
3.0ms
(- 0.253 (* x 0.12))
6.0ms
(* (* x 0.12) (* x 0.12))
6.0ms
(* x (- (* 0.253 0.253) (* (* x 0.12) (* x 0.12))))
9.0ms
(/ (* x (- (* 0.253 0.253) (* (* x 0.12) (* x 0.12)))) (- 0.253 (* x 0.12)))

series336.0ms

Counts
4 → 12
Calls
4 calls:
35.0ms
(- 0.253 (* x 0.12))
30.0ms
(* (* x 0.12) (* x 0.12))
99.0ms
(* x (- (* 0.253 0.253) (* (* x 0.12) (* x 0.12))))
172.0ms
(/ (* x (- (* 0.253 0.253) (* (* x 0.12) (* x 0.12)))) (- 0.253 (* x 0.12)))

simplify71.0ms

Algorithm
egg-herbie
Counts
108 → 108
Iterations

Useful iterations: 1 (12.0ms)

IterNodesCost
0384704
12141579
25001579

prune143.0ms

Filtered
108 candidates to 60 candidates (55.6%)
Pruning

6 alts after pruning (4 fresh and 2 done)

PrunedKeptTotal
New1053108
Fresh112
Picked101
Done123
Total1086114

Merged error: 0.0b

Counts
114 → 6

regimes59.0ms

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

sample350.0ms

Algorithm
intervals
Results
238.0ms10658×body80valid

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