Details

Time bar (total: 18.5s)

sample24.0ms

Algorithm
intervals
Results
9.0ms245×body80valid
1.0ms5×body1280valid
0.0ms2×body640valid
0.0ms1×body2560valid
0.0ms2×body160valid
0.0ms1×body320valid

simplify58.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
077
1127
2257
3347
4417
5477
6497
done497

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize9.0ms

Local error

Found 1 expressions with local error:

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

rewrite7.0ms

Algorithm
rewrite-expression-head
Rules
3×add-log-exp
1×pow1 add-exp-log add-sqr-sqrt add-cube-cbrt sub-neg flip3-- *-un-lft-identity diff-log add-cbrt-cube flip--
Counts
1 → 12
Calls
1 calls:
6.0ms
(- x (* (/ 3.0 8.0) y))

series49.0ms

Counts
1 → 3
Calls
1 calls:
49.0ms
(- x (* (/ 3.0 8.0) y))

simplify2.5s

Counts
15 → 15
Iterations

Useful iterations: 2 (46.0ms)

IterNodesCost
032172
181165
2256151
3907151
42826151
done5002151

prune42.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 4 expressions with local error:

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

rewrite71.0ms

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:
52.0ms
(* (cbrt (- x (* (/ 3.0 8.0) y))) (cbrt (- x (* (/ 3.0 8.0) y))))
5.0ms
(cbrt (- x (* (/ 3.0 8.0) y)))
5.0ms
(cbrt (- x (* (/ 3.0 8.0) y)))
5.0ms
(cbrt (- x (* (/ 3.0 8.0) y)))

series1.3s

Counts
4 → 12
Calls
4 calls:
261.0ms
(* (cbrt (- x (* (/ 3.0 8.0) y))) (cbrt (- x (* (/ 3.0 8.0) y))))
361.0ms
(cbrt (- x (* (/ 3.0 8.0) y)))
356.0ms
(cbrt (- x (* (/ 3.0 8.0) y)))
319.0ms
(cbrt (- x (* (/ 3.0 8.0) y)))

simplify3.7s

Counts
99 → 99
Iterations

Useful iterations: done (3.7s)

IterNodesCost
01191968
12381825
26351711
316681540
445951496
done50001441

prune343.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

localize22.0ms

Local error

Found 4 expressions with local error:

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

rewrite29.0ms

Algorithm
rewrite-expression-head
Rules
18×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
Counts
4 → 55
Calls
4 calls:
6.0ms
(cbrt (- x (* (/ 3.0 8.0) y)))
6.0ms
(cbrt (- x (* (/ 3.0 8.0) y)))
7.0ms
(cbrt (- x (* (/ 3.0 8.0) y)))
7.0ms
(cbrt (cbrt (- x (* (/ 3.0 8.0) y))))

series1.6s

Counts
4 → 12
Calls
4 calls:
395.0ms
(cbrt (- x (* (/ 3.0 8.0) y)))
416.0ms
(cbrt (- x (* (/ 3.0 8.0) y)))
373.0ms
(cbrt (- x (* (/ 3.0 8.0) y)))
378.0ms
(cbrt (cbrt (- x (* (/ 3.0 8.0) y))))

simplify3.3s

Counts
67 → 67
Iterations

Useful iterations: 4 (2.1s)

IterNodesCost
0951057
11951027
2479961
31327927
43510864
done5000864

prune260.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

localize43.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (cbrt (- x (* (/ 3.0 8.0) y))))
0.6b
(cbrt (cbrt (- x (* (/ 3.0 8.0) y))))
0.6b
(cbrt (cbrt (- x (* (/ 3.0 8.0) y))))
1.1b
(pow (cbrt (cbrt (- x (* (/ 3.0 8.0) y)))) 6)

rewrite41.0ms

Algorithm
rewrite-expression-head
Rules
36×cbrt-prod
14×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
12×cbrt-div
9×unpow-prod-down
5×pow1 add-exp-log
4×pow1/3 add-cbrt-cube add-log-exp
3×pow-unpow flip3-- flip--
2×pow-pow
1×pow-to-exp pow-exp sqr-pow
Counts
4 → 72
Calls
4 calls:
7.0ms
(cbrt (cbrt (- x (* (/ 3.0 8.0) y))))
7.0ms
(cbrt (cbrt (- x (* (/ 3.0 8.0) y))))
7.0ms
(cbrt (cbrt (- x (* (/ 3.0 8.0) y))))
17.0ms
(pow (cbrt (cbrt (- x (* (/ 3.0 8.0) y)))) 6)

series1.6s

Counts
4 → 12
Calls
4 calls:
409.0ms
(cbrt (cbrt (- x (* (/ 3.0 8.0) y))))
399.0ms
(cbrt (cbrt (- x (* (/ 3.0 8.0) y))))
392.0ms
(cbrt (cbrt (- x (* (/ 3.0 8.0) y))))
449.0ms
(pow (cbrt (cbrt (- x (* (/ 3.0 8.0) y)))) 6)

simplify2.0s

Counts
84 → 84
Iterations

Useful iterations: done (2.0s)

IterNodesCost
01411482
13081423
27571252
323241183
done50011142

prune483.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0.0b

regimes208.0ms

Accuracy

0% (0.0b remaining)

Error of 0.1b against oracle of 0.1b and baseline of 0.1b

bsearch0.0ms

simplify3.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
077
187
done87

end0.0ms

sample799.0ms

Algorithm
intervals
Results
396.0ms7399×body80valid
38.0ms215×body1280valid
21.0ms149×body640valid
19.0ms91×body2560valid
10.0ms94×body320valid
4.0ms52×body160valid