Details

Time bar (total: 2.4s)

sample16.0ms

Algorithm
intervals
Results
8.0ms338×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 3 expressions with local error:

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

rewrite11.0ms

Algorithm
rewrite-expression-head
Rules
7×add-sqr-sqrt add-log-exp
5×pow1 add-exp-log add-cube-cbrt *-un-lft-identity add-cbrt-cube
3×associate-*r* associate-*l*
2×distribute-rgt-in distribute-lft-in flip3-+ associate-*r/ flip-+ associate--r+
1×+-commutative sub-neg flip3-- diff-log pow-prod-down prod-exp sum-log *-commutative flip-- cbrt-unprod unswap-sqr
Counts
3 → 47
Calls
3 calls:
3.0ms
(- 1.0 (* x (+ 0.253 (* x 0.12))))
2.0ms
(+ 0.253 (* x 0.12))
5.0ms
(* x (+ 0.253 (* x 0.12)))

series177.0ms

Counts
3 → 9
Calls
3 calls:
38.0ms
(- 1.0 (* x (+ 0.253 (* x 0.12))))
45.0ms
(+ 0.253 (* x 0.12))
95.0ms
(* x (+ 0.253 (* x 0.12)))

simplify50.0ms

Algorithm
egg-herbie
Counts
56 → 56
Iterations

Useful iterations: 1 (8.0ms)

IterNodesCost
0226274
1991253
25002253

prune106.0ms

Filtered
56 candidates to 39 candidates (69.6%)
Pruning

7 alts after pruning (7 fresh and 0 done)

PrunedKeptTotal
New49756
Fresh000
Picked101
Done000
Total50757

Merged error: 0.0b

Counts
57 → 7

localize7.0ms

Local error

Found 3 expressions with local error:

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

rewrite14.0ms

Algorithm
rewrite-expression-head
Rules
10×add-log-exp
8×pow1 add-exp-log add-cbrt-cube
6×add-sqr-sqrt *-un-lft-identity
4×add-cube-cbrt
3×associate-*l* pow-prod-down prod-exp cbrt-unprod
2×diff-log sum-log
1×+-commutative sub-neg flip3-- flip3-+ associate-*r* *-commutative flip-- flip-+ distribute-lft-out associate--r+ distribute-lft-out-- difference-of-squares
Counts
3 → 46
Calls
3 calls:
5.0ms
(- 1.0 (+ (* x 0.253) (* x (* x 0.12))))
3.0ms
(+ (* x 0.253) (* x (* x 0.12)))
5.0ms
(* x (* x 0.12))

series120.0ms

Counts
3 → 9
Calls
3 calls:
26.0ms
(- 1.0 (+ (* x 0.253) (* x (* x 0.12))))
68.0ms
(+ (* x 0.253) (* x (* x 0.12)))
27.0ms
(* x (* x 0.12))

simplify120.0ms

Algorithm
egg-herbie
Counts
55 → 55
Iterations

Useful iterations: 3 (115.0ms)

IterNodesCost
0234302
1909273
24015270
35002269

prune72.0ms

Filtered
55 candidates to 35 candidates (63.6%)
Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New54155
Fresh246
Picked011
Done000
Total56662

Merged error: 0b

Counts
62 → 6

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b
(- 1.0 (+ (* x 0.253) (* (pow x 2) 0.12)))
0.0b
(+ (* x 0.253) (* (pow x 2) 0.12))
0.2b
(* (pow x 2) 0.12)

rewrite14.0ms

Algorithm
rewrite-expression-head
Rules
14×add-sqr-sqrt
10×add-log-exp
8×add-exp-log *-un-lft-identity associate-*l*
6×add-cube-cbrt
5×add-cbrt-cube
4×unpow-prod-down unswap-sqr
3×pow1 associate-*r* prod-exp
2×diff-log sum-log unpow2 sqr-pow
1×+-commutative pow-to-exp sub-neg flip3-- flip3-+ pow-exp *-commutative flip-- cbrt-unprod flip-+ associate--r+ distribute-lft-out-- difference-of-squares
Counts
3 → 54
Calls
3 calls:
5.0ms
(- 1.0 (+ (* x 0.253) (* (pow x 2) 0.12)))
3.0ms
(+ (* x 0.253) (* (pow x 2) 0.12))
5.0ms
(* (pow x 2) 0.12)

series122.0ms

Counts
3 → 9
Calls
3 calls:
26.0ms
(- 1.0 (+ (* x 0.253) (* (pow x 2) 0.12)))
69.0ms
(+ (* x 0.253) (* (pow x 2) 0.12))
28.0ms
(* (pow x 2) 0.12)

simplify203.0ms

Algorithm
egg-herbie
Counts
63 → 63
Iterations

Useful iterations: 2 (31.0ms)

IterNodesCost
0246338
1897316
24977308
35001308

prune98.0ms

Filtered
63 candidates to 44 candidates (69.8%)
Pruning

6 alts after pruning (4 fresh and 2 done)

PrunedKeptTotal
New63063
Fresh044
Picked011
Done011
Total63669

Merged error: 0b

Counts
69 → 6

localize13.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (cbrt (+ 0.253 (* x 0.12))) (cbrt (+ 0.253 (* x 0.12))))
0.9b
(cbrt (+ 0.253 (* x 0.12)))
0.9b
(cbrt (+ 0.253 (* x 0.12)))
0.9b
(cbrt (+ 0.253 (* x 0.12)))

rewrite18.0ms

Algorithm
rewrite-expression-head
Rules
25×cbrt-prod
23×add-sqr-sqrt
18×cbrt-div
15×add-cube-cbrt *-un-lft-identity
11×pow1
9×flip3-+ pow1/3 flip-+
6×add-exp-log swap-sqr associate-*r* associate-*l*
4×frac-times add-cbrt-cube add-log-exp unswap-sqr
2×associate-*r/ pow-prod-down associate-*l/ pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 87
Calls
4 calls:
8.0ms
(* (cbrt (+ 0.253 (* x 0.12))) (cbrt (+ 0.253 (* x 0.12))))
2.0ms
(cbrt (+ 0.253 (* x 0.12)))
2.0ms
(cbrt (+ 0.253 (* x 0.12)))
2.0ms
(cbrt (+ 0.253 (* x 0.12)))

series517.0ms

Counts
4 → 12
Calls
4 calls:
147.0ms
(* (cbrt (+ 0.253 (* x 0.12))) (cbrt (+ 0.253 (* x 0.12))))
121.0ms
(cbrt (+ 0.253 (* x 0.12)))
128.0ms
(cbrt (+ 0.253 (* x 0.12)))
121.0ms
(cbrt (+ 0.253 (* x 0.12)))

simplify48.0ms

Algorithm
egg-herbie
Counts
99 → 99
Iterations

Useful iterations: 2 (36.0ms)

IterNodesCost
04221124
115181071
25001939

prune234.0ms

Filtered
99 candidates to 75 candidates (75.8%)
Pruning

6 alts after pruning (3 fresh and 3 done)

PrunedKeptTotal
New99099
Fresh033
Picked011
Done022
Total996105

Merged error: 0b

Counts
105 → 6

regimes36.0ms

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
0135
1135

end0.0ms

sample367.0ms

Algorithm
intervals
Results
251.0ms10637×body80valid

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