Details

Time bar (total: 4.2s)

sample13.0ms

Algorithm
intervals
Results
6.0ms351×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

prune2.0ms

Filtered
1 candidates to 0 candidates (0.0%)
Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize5.0ms

Local error

Found 1 expressions with local error:

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

rewrite7.0ms

Algorithm
rewrite-expression-head
Rules
5×add-sqr-sqrt
3×pow1 add-exp-log add-cube-cbrt *-un-lft-identity associate-*r* associate-*l* add-cbrt-cube
2×associate-*r/
1×distribute-rgt-in distribute-lft-in flip3-+ pow-prod-down prod-exp *-commutative cbrt-unprod flip-+ add-log-exp unswap-sqr
Counts
1 → 22
Calls
1 calls:
7.0ms
(* x (+ 0.253 (* x 0.12)))

series64.0ms

Counts
1 → 3
Calls
1 calls:
64.0ms
(* x (+ 0.253 (* x 0.12)))

simplify102.0ms

Algorithm
egg-herbie
Counts
25 → 25
Iterations

Useful iterations: 1 (5.0ms)

IterNodesCost
0144117
1680103
23770103
35002103

prune50.0ms

Filtered
25 candidates to 16 candidates (64.0%)
Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

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)))

rewrite81.0ms

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:
72.0ms
(* (* x (* (cbrt (+ 0.253 (* x 0.12))) (cbrt (+ 0.253 (* x 0.12))))) (cbrt (+ 0.253 (* x 0.12))))
1.0ms
(cbrt (+ 0.253 (* x 0.12)))
1.0ms
(cbrt (+ 0.253 (* x 0.12)))
2.0ms
(cbrt (+ 0.253 (* x 0.12)))

series439.0ms

Counts
4 → 12
Calls
4 calls:
65.0ms
(* (* x (* (cbrt (+ 0.253 (* x 0.12))) (cbrt (+ 0.253 (* x 0.12))))) (cbrt (+ 0.253 (* x 0.12))))
125.0ms
(cbrt (+ 0.253 (* x 0.12)))
122.0ms
(cbrt (+ 0.253 (* x 0.12)))
126.0ms
(cbrt (+ 0.253 (* x 0.12)))

simplify58.0ms

Algorithm
egg-herbie
Counts
101 → 101
Iterations

Useful iterations: 2 (44.0ms)

IterNodesCost
05271629
118931476
250011331

prune280.0ms

Filtered
101 candidates to 70 candidates (69.3%)
Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.0b

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))))

rewrite8.0ms

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:
1.0ms
(cbrt (+ 0.253 (* x 0.12)))
1.0ms
(cbrt (+ 0.253 (* x 0.12)))
1.0ms
(cbrt (- 0.253 (* x 0.12)))
2.0ms
(cbrt (- (* 0.253 0.253) (* (* x 0.12) (* x 0.12))))

series614.0ms

Counts
4 → 12
Calls
4 calls:
126.0ms
(cbrt (+ 0.253 (* x 0.12)))
120.0ms
(cbrt (+ 0.253 (* x 0.12)))
131.0ms
(cbrt (- 0.253 (* x 0.12)))
236.0ms
(cbrt (- (* 0.253 0.253) (* (* x 0.12) (* x 0.12))))

simplify53.0ms

Algorithm
egg-herbie
Counts
65 → 65
Iterations

Useful iterations: 2 (45.0ms)

IterNodesCost
0513818
11822783
25002687

prune317.0ms

Filtered
65 candidates to 61 candidates (93.8%)
Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

localize27.0ms

Local error

Found 4 expressions with local error:

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

rewrite11.0ms

Algorithm
rewrite-expression-head
Rules
23×cbrt-prod
10×cbrt-div
9×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
4×pow1 add-exp-log flip3-- pow1/3 add-cbrt-cube flip-- add-log-exp difference-of-squares
Counts
4 → 59
Calls
4 calls:
2.0ms
(cbrt (- (* 0.253 0.253) (* (* x 0.12) (* x 0.12))))
2.0ms
(cbrt (- (* 0.253 0.253) (* (* x 0.12) (* x 0.12))))
2.0ms
(cbrt (- (* 0.253 0.253) (* (* x 0.12) (* x 0.12))))
3.0ms
(cbrt (cbrt (- (* 0.253 0.253) (* (* x 0.12) (* x 0.12)))))

series969.0ms

Counts
4 → 12
Calls
4 calls:
240.0ms
(cbrt (- (* 0.253 0.253) (* (* x 0.12) (* x 0.12))))
239.0ms
(cbrt (- (* 0.253 0.253) (* (* x 0.12) (* x 0.12))))
246.0ms
(cbrt (- (* 0.253 0.253) (* (* x 0.12) (* x 0.12))))
244.0ms
(cbrt (cbrt (- (* 0.253 0.253) (* (* x 0.12) (* x 0.12)))))

simplify44.0ms

Algorithm
egg-herbie
Counts
71 → 71
Iterations

Useful iterations: 2 (33.0ms)

IterNodesCost
03821158
113041100
250021005

prune557.0ms

Filtered
71 candidates to 67 candidates (94.4%)
Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0.0b

regimes100.0ms

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

sample310.0ms

Algorithm
intervals
Results
201.0ms10618×body80valid