Details

Time bar (total: 3.4s)

sample14.0ms

Algorithm
intervals
Results
6.0ms335×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

localize6.0ms

Local error

Found 2 expressions with local error:

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

rewrite12.0ms

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))
9.0ms
(* x (+ 0.253 (* x 0.12)))

series102.0ms

Counts
2 → 6
Calls
2 calls:
38.0ms
(+ 0.253 (* x 0.12))
63.0ms
(* x (+ 0.253 (* x 0.12)))

simplify111.0ms

Algorithm
egg-herbie
Counts
39 → 39
Iterations

Useful iterations: 1 (6.0ms)

IterNodesCost
0166173
1767154
24026154
35002154

prune63.0ms

Filtered
39 candidates to 27 candidates (69.2%)
Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New34539
Fresh000
Picked011
Done000
Total34640

Merged error: 0.0b

Counts
40 → 6

localize9.0ms

Local error

Found 4 expressions with local error:

0.3b
(* (* x (* (cbrt (+ 0.253 (* x 0.12))) (cbrt (+ 0.253 (* x 0.12))))) (cbrt (+ 0.253 (* x 0.12))))
0.8b
(cbrt (+ 0.253 (* x 0.12)))
0.8b
(cbrt (+ 0.253 (* x 0.12)))
0.8b
(cbrt (+ 0.253 (* x 0.12)))

rewrite27.0ms

Algorithm
rewrite-expression-head
Rules
60×cbrt-div
32×associate-*r/
30×flip3-+ flip-+
28×frac-times
14×associate-*l/
13×pow1 add-exp-log
12×cbrt-prod
9×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
8×add-cbrt-cube
6×associate-*r* pow-prod-down prod-exp cbrt-unprod
4×add-log-exp
3×pow1/3
1×associate-*l* *-commutative
Counts
4 → 89
Calls
4 calls:
15.0ms
(* (* x (* (cbrt (+ 0.253 (* x 0.12))) (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)))

series443.0ms

Counts
4 → 12
Calls
4 calls:
67.0ms
(* (* x (* (cbrt (+ 0.253 (* x 0.12))) (cbrt (+ 0.253 (* x 0.12))))) (cbrt (+ 0.253 (* x 0.12))))
129.0ms
(cbrt (+ 0.253 (* x 0.12)))
121.0ms
(cbrt (+ 0.253 (* x 0.12)))
126.0ms
(cbrt (+ 0.253 (* x 0.12)))

simplify61.0ms

Algorithm
egg-herbie
Counts
101 → 101
Iterations

Useful iterations: 2 (46.0ms)

IterNodesCost
05271629
118931476
250011331

prune242.0ms

Filtered
101 candidates to 70 candidates (69.3%)
Pruning

7 alts after pruning (5 fresh and 2 done)

PrunedKeptTotal
New992101
Fresh134
Picked011
Done011
Total1007107

Merged error: 0.0b

Counts
107 → 7

localize18.0ms

Local error

Found 4 expressions with local error:

0.8b
(cbrt (+ 0.253 (* x 0.12)))
0.8b
(cbrt (+ 0.253 (* x 0.12)))
0.8b
(cbrt (- 0.253 (* x 0.12)))
1.2b
(cbrt (- (* 0.253 0.253) (* (* x 0.12) (* x 0.12))))

rewrite16.0ms

Algorithm
rewrite-expression-head
Rules
13×cbrt-prod
8×add-sqr-sqrt add-cube-cbrt cbrt-div *-un-lft-identity
4×pow1 add-exp-log pow1/3 add-cbrt-cube add-log-exp
2×flip3-- flip3-+ flip-- flip-+
1×difference-of-squares
Counts
4 → 53
Calls
4 calls:
2.0ms
(cbrt (+ 0.253 (* x 0.12)))
2.0ms
(cbrt (+ 0.253 (* x 0.12)))
6.0ms
(cbrt (- 0.253 (* x 0.12)))
4.0ms
(cbrt (- (* 0.253 0.253) (* (* x 0.12) (* x 0.12))))

series636.0ms

Counts
4 → 12
Calls
4 calls:
128.0ms
(cbrt (+ 0.253 (* x 0.12)))
134.0ms
(cbrt (+ 0.253 (* x 0.12)))
128.0ms
(cbrt (- 0.253 (* x 0.12)))
246.0ms
(cbrt (- (* 0.253 0.253) (* (* x 0.12) (* x 0.12))))

simplify55.0ms

Algorithm
egg-herbie
Counts
65 → 65
Iterations

Useful iterations: 2 (46.0ms)

IterNodesCost
0513818
11822783
25002687

prune293.0ms

Filtered
65 candidates to 61 candidates (93.8%)
Pruning

7 alts after pruning (5 fresh and 2 done)

PrunedKeptTotal
New64165
Fresh044
Picked011
Done112
Total65772

Merged error: 0.0b

Counts
72 → 7

localize10.0ms

Local error

Found 4 expressions with local error:

0.6b
(* (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))))

rewrite24.0ms

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))))
8.0ms
(cbrt (* x (+ 0.253 (* x 0.12))))

series567.0ms

Counts
4 → 12
Calls
4 calls:
169.0ms
(* (cbrt (* x (+ 0.253 (* x 0.12)))) (cbrt (* x (+ 0.253 (* x 0.12)))))
129.0ms
(cbrt (* x (+ 0.253 (* x 0.12))))
136.0ms
(cbrt (* x (+ 0.253 (* x 0.12))))
132.0ms
(cbrt (* x (+ 0.253 (* x 0.12))))

simplify57.0ms

Algorithm
egg-herbie
Counts
84 → 84
Iterations

Useful iterations: 2 (40.0ms)

IterNodesCost
04741148
118271083
25001902

prune217.0ms

Filtered
84 candidates to 67 candidates (79.8%)
Pruning

7 alts after pruning (4 fresh and 3 done)

PrunedKeptTotal
New84084
Fresh044
Picked011
Done022
Total84791

Merged error: 0.0b

Counts
91 → 7

regimes76.0ms

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

sample301.0ms

Algorithm
intervals
Results
187.0ms10629×body80valid