Details

Time bar (total: 6.8s)

sample13.0ms

Algorithm
intervals
Results
4.0ms241×body80valid
1.0ms7×body1280valid
0.0ms3×body640valid
0.0ms4×body160valid
0.0ms1×body320valid

simplify13.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0123
1253
2383
3453
4513
5573
6593
7593

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize7.0ms

Local error

Found 1 expressions with local error:

0.0b
(- x (* (/ 3.0 8.0) y))

rewrite6.0ms

Algorithm
rewrite-expression-head
Rules
3×add-sqr-sqrt add-cube-cbrt *-un-lft-identity fma-neg prod-diff add-log-exp
1×pow1 add-exp-log expm1-log1p-u sub-neg flip3-- diff-log add-cbrt-cube flip-- log1p-expm1-u
Counts
1 → 20
Calls
1 calls:
6.0ms
(- x (* (/ 3.0 8.0) y))

series26.0ms

Counts
1 → 3
Calls
1 calls:
26.0ms
(- x (* (/ 3.0 8.0) y))

simplify42.0ms

Algorithm
egg-herbie
Counts
23 → 23
Iterations

Useful iterations: 3 (38.0ms)

IterNodesCost
0107129
1372112
21541111
3500294

prune77.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt (- x (* (/ 3.0 8.0) y)))
0.5b
(cbrt (- x (* (/ 3.0 8.0) y)))
0.5b
(cbrt (- x (* (/ 3.0 8.0) y)))
0.6b
(* (cbrt (- x (* (/ 3.0 8.0) y))) (cbrt (- x (* (/ 3.0 8.0) y))))

rewrite47.0ms

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×expm1-log1p-u frac-times add-cbrt-cube log1p-expm1-u 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 → 95
Calls
4 calls:
3.0ms
(cbrt (- x (* (/ 3.0 8.0) y)))
3.0ms
(cbrt (- x (* (/ 3.0 8.0) y)))
3.0ms
(cbrt (- x (* (/ 3.0 8.0) y)))
36.0ms
(* (cbrt (- x (* (/ 3.0 8.0) y))) (cbrt (- x (* (/ 3.0 8.0) y))))

series973.0ms

Counts
4 → 12
Calls
4 calls:
258.0ms
(cbrt (- x (* (/ 3.0 8.0) y)))
248.0ms
(cbrt (- x (* (/ 3.0 8.0) y)))
247.0ms
(cbrt (- x (* (/ 3.0 8.0) y)))
220.0ms
(* (cbrt (- x (* (/ 3.0 8.0) y))) (cbrt (- x (* (/ 3.0 8.0) y))))

simplify73.0ms

Algorithm
egg-herbie
Counts
107 → 107
Iterations

Useful iterations: 3 (63.0ms)

IterNodesCost
02441068
17741003
22881944
35001915

prune541.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt (- x (* (/ 3.0 8.0) y)))
0.5b
(cbrt (cbrt (- x (* (/ 3.0 8.0) y))))
0.6b
(* (cbrt (- x (* (/ 3.0 8.0) y))) (cbrt (- x (* (/ 3.0 8.0) y))))
0.6b
(cbrt (* (cbrt (- x (* (/ 3.0 8.0) y))) (cbrt (- x (* (/ 3.0 8.0) y)))))

rewrite50.0ms

Algorithm
rewrite-expression-head
Rules
38×cbrt-div
29×cbrt-prod
23×add-sqr-sqrt
15×add-cube-cbrt *-un-lft-identity
14×flip3-- flip--
11×pow1
9×pow1/3
8×frac-times
6×add-exp-log swap-sqr associate-*r* associate-*l*
4×expm1-log1p-u associate-*r/ associate-*l/ add-cbrt-cube log1p-expm1-u add-log-exp unswap-sqr
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 102
Calls
4 calls:
3.0ms
(cbrt (- x (* (/ 3.0 8.0) y)))
4.0ms
(cbrt (cbrt (- x (* (/ 3.0 8.0) y))))
29.0ms
(* (cbrt (- x (* (/ 3.0 8.0) y))) (cbrt (- x (* (/ 3.0 8.0) y))))
11.0ms
(cbrt (* (cbrt (- x (* (/ 3.0 8.0) y))) (cbrt (- x (* (/ 3.0 8.0) y)))))

series937.0ms

Counts
4 → 12
Calls
4 calls:
240.0ms
(cbrt (- x (* (/ 3.0 8.0) y)))
252.0ms
(cbrt (cbrt (- x (* (/ 3.0 8.0) y))))
225.0ms
(* (cbrt (- x (* (/ 3.0 8.0) y))) (cbrt (- x (* (/ 3.0 8.0) y))))
220.0ms
(cbrt (* (cbrt (- x (* (/ 3.0 8.0) y))) (cbrt (- x (* (/ 3.0 8.0) y)))))

simplify92.0ms

Algorithm
egg-herbie
Counts
114 → 114
Iterations

Useful iterations: 3 (78.0ms)

IterNodesCost
03591368
110211289
234881225
350021205

prune905.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt (cbrt (- x (* (/ 3.0 8.0) y))))
0.5b
(cbrt (cbrt (- x (* (/ 3.0 8.0) y))))
0.5b
(* (cbrt (cbrt (- x (* (/ 3.0 8.0) y)))) (cbrt (cbrt (- x (* (/ 3.0 8.0) y)))))
0.6b
(* (cbrt (- x (* (/ 3.0 8.0) y))) (cbrt (- x (* (/ 3.0 8.0) y))))

rewrite78.0ms

Algorithm
rewrite-expression-head
Rules
88×cbrt-prod
54×add-sqr-sqrt
44×cbrt-div
28×add-cube-cbrt *-un-lft-identity
18×pow1
15×swap-sqr associate-*r* associate-*l*
14×flip3-- pow1/3 flip--
13×unswap-sqr
8×add-exp-log frac-times
4×expm1-log1p-u associate-*r/ pow-prod-down associate-*l/ pow-sqr pow-prod-up add-cbrt-cube log1p-expm1-u add-log-exp
2×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 150
Calls
4 calls:
4.0ms
(cbrt (cbrt (- x (* (/ 3.0 8.0) y))))
3.0ms
(cbrt (cbrt (- x (* (/ 3.0 8.0) y))))
35.0ms
(* (cbrt (cbrt (- x (* (/ 3.0 8.0) y)))) (cbrt (cbrt (- x (* (/ 3.0 8.0) y)))))
31.0ms
(* (cbrt (- x (* (/ 3.0 8.0) y))) (cbrt (- x (* (/ 3.0 8.0) y))))

series954.0ms

Counts
4 → 12
Calls
4 calls:
248.0ms
(cbrt (cbrt (- x (* (/ 3.0 8.0) y))))
251.0ms
(cbrt (cbrt (- x (* (/ 3.0 8.0) y))))
231.0ms
(* (cbrt (cbrt (- x (* (/ 3.0 8.0) y)))) (cbrt (cbrt (- x (* (/ 3.0 8.0) y)))))
224.0ms
(* (cbrt (- x (* (/ 3.0 8.0) y))) (cbrt (- x (* (/ 3.0 8.0) y))))

simplify105.0ms

Algorithm
egg-herbie
Counts
162 → 162
Iterations

Useful iterations: 3 (81.0ms)

IterNodesCost
03652073
111901967
243601819
350021794

prune1.2s

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0.0b

regimes263.0ms

Accuracy

0% (0.0b 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
083
183

end0.0ms

sample308.0ms

Algorithm
intervals
Results
138.0ms7392×body80valid
15.0ms199×body1280valid
12.0ms90×body2560valid
10.0ms170×body640valid
5.0ms101×body320valid
2.0ms48×body160valid