Details

Time bar (total: 3.6s)

sample14.0ms

Algorithm
intervals
Results
6.0ms348×body80valid

simplify25.0ms

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 2 expressions with local error:

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

rewrite10.0ms

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))
7.0ms
(* x (+ 0.253 (* x 0.12)))

series96.0ms

Counts
2 → 6
Calls
2 calls:
31.0ms
(+ 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 (5.0ms)

IterNodesCost
0166173
1767154
24026154
35002154

prune70.0ms

Filtered
39 candidates to 27 candidates (69.2%)
Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize9.0ms

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))))

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:
9.0ms
(* (cbrt (* x (+ 0.253 (* x 0.12)))) (cbrt (* x (+ 0.253 (* x 0.12)))))
3.0ms
(cbrt (* x (+ 0.253 (* x 0.12))))
3.0ms
(cbrt (* x (+ 0.253 (* x 0.12))))
3.0ms
(cbrt (* x (+ 0.253 (* x 0.12))))

series559.0ms

Counts
4 → 12
Calls
4 calls:
185.0ms
(* (cbrt (* x (+ 0.253 (* x 0.12)))) (cbrt (* x (+ 0.253 (* x 0.12)))))
125.0ms
(cbrt (* x (+ 0.253 (* x 0.12))))
123.0ms
(cbrt (* x (+ 0.253 (* x 0.12))))
126.0ms
(cbrt (* x (+ 0.253 (* x 0.12))))

simplify49.0ms

Algorithm
egg-herbie
Counts
84 → 84
Iterations

Useful iterations: 2 (39.0ms)

IterNodesCost
04741148
118271083
25001902

prune265.0ms

Filtered
84 candidates to 67 candidates (79.8%)
Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.7b
(cbrt x)
0.7b
(cbrt x)
0.8b
(cbrt (+ 0.253 (* x 0.12)))
0.8b
(cbrt (+ 0.253 (* x 0.12)))

rewrite5.0ms

Algorithm
rewrite-expression-head
Rules
12×cbrt-prod
8×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
4×pow1 add-exp-log cbrt-div pow1/3 add-cbrt-cube add-log-exp
2×flip3-+ flip-+
Counts
4 → 48
Calls
4 calls:
0.0ms
(cbrt x)
0.0ms
(cbrt x)
2.0ms
(cbrt (+ 0.253 (* x 0.12)))
2.0ms
(cbrt (+ 0.253 (* x 0.12)))

series597.0ms

Counts
4 → 12
Calls
4 calls:
179.0ms
(cbrt x)
173.0ms
(cbrt x)
119.0ms
(cbrt (+ 0.253 (* x 0.12)))
126.0ms
(cbrt (+ 0.253 (* x 0.12)))

simplify79.0ms

Algorithm
egg-herbie
Counts
60 → 60
Iterations

Useful iterations: 2 (19.0ms)

IterNodesCost
0254442
1788422
22977368
35001368

prune246.0ms

Filtered
60 candidates to 54 candidates (90.0%)
Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0.0b

localize22.0ms

Local error

Found 4 expressions with local error:

0.7b
(cbrt x)
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))))

rewrite7.0ms

Algorithm
rewrite-expression-head
Rules
13×cbrt-prod
8×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
6×cbrt-div
4×pow1 add-exp-log pow1/3 add-cbrt-cube add-log-exp
2×flip3-- flip--
1×flip3-+ flip-+ difference-of-squares
Counts
4 → 51
Calls
4 calls:
0.0ms
(cbrt x)
2.0ms
(cbrt (+ 0.253 (* x 0.12)))
1.0ms
(cbrt (- 0.253 (* x 0.12)))
3.0ms
(cbrt (- (* 0.253 0.253) (* (* x 0.12) (* x 0.12))))

series674.0ms

Counts
4 → 12
Calls
4 calls:
177.0ms
(cbrt x)
128.0ms
(cbrt (+ 0.253 (* x 0.12)))
126.0ms
(cbrt (- 0.253 (* x 0.12)))
243.0ms
(cbrt (- (* 0.253 0.253) (* (* x 0.12) (* x 0.12))))

simplify53.0ms

Algorithm
egg-herbie
Counts
63 → 63
Iterations

Useful iterations: 2 (45.0ms)

IterNodesCost
0543675
11897644
25002570

prune331.0ms

Filtered
63 candidates to 58 candidates (92.1%)
Pruning

6 alts after pruning (2 fresh and 4 done)

Merged error: 0.0b

regimes66.0ms

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

sample315.0ms

Algorithm
intervals
Results
202.0ms10725×body80valid