Details

Time bar (total: 16.0s)

sample15.0ms

Algorithm
intervals
Results
6.0ms245×body80valid
1.0ms5×body1280valid
0.0ms2×body640valid
0.0ms1×body2560valid
0.0ms2×body160valid
0.0ms1×body320valid

simplify52.0ms

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

localize6.0ms

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-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))

series36.0ms

Counts
1 → 3
Calls
1 calls:
36.0ms
(- x (* (/ 3.0 8.0) y))

simplify2.8s

Counts
15 → 15
Iterations

Useful iterations: 2 (40.0ms)

IterNodesCost
032172
181165
2256151
3907151
42826151
done5002151

prune33.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize11.0ms

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)))

rewrite50.0ms

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:
37.0ms
(* (cbrt (- x (* (/ 3.0 8.0) y))) (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)))
4.0ms
(cbrt (- x (* (/ 3.0 8.0) y)))

series1.3s

Counts
4 → 12
Calls
4 calls:
307.0ms
(* (cbrt (- x (* (/ 3.0 8.0) y))) (cbrt (- x (* (/ 3.0 8.0) y))))
409.0ms
(cbrt (- x (* (/ 3.0 8.0) y)))
294.0ms
(cbrt (- x (* (/ 3.0 8.0) y)))
334.0ms
(cbrt (- x (* (/ 3.0 8.0) y)))

simplify3.2s

Counts
99 → 99
Iterations

Useful iterations: done (3.2s)

IterNodesCost
01191968
12381825
26351711
316681540
445951496
done50001441

prune242.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

localize20.0ms

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:
5.0ms
(cbrt (- x (* (/ 3.0 8.0) y)))
13.0ms
(cbrt (- x (* (/ 3.0 8.0) y)))
4.0ms
(cbrt (- x (* (/ 3.0 8.0) y)))
4.0ms
(cbrt (cbrt (- x (* (/ 3.0 8.0) y))))

series1.4s

Counts
4 → 12
Calls
4 calls:
362.0ms
(cbrt (- x (* (/ 3.0 8.0) y)))
335.0ms
(cbrt (- x (* (/ 3.0 8.0) y)))
351.0ms
(cbrt (- x (* (/ 3.0 8.0) y)))
347.0ms
(cbrt (cbrt (- x (* (/ 3.0 8.0) y))))

simplify2.9s

Counts
67 → 67
Iterations

Useful iterations: 4 (1.4s)

IterNodesCost
0951057
11951027
2479961
31327927
43510864
done5000864

prune294.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

localize35.0ms

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)

rewrite23.0ms

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:
4.0ms
(cbrt (cbrt (- x (* (/ 3.0 8.0) y))))
4.0ms
(cbrt (cbrt (- x (* (/ 3.0 8.0) y))))
4.0ms
(cbrt (cbrt (- x (* (/ 3.0 8.0) y))))
9.0ms
(pow (cbrt (cbrt (- x (* (/ 3.0 8.0) y)))) 6)

series1.4s

Counts
4 → 12
Calls
4 calls:
298.0ms
(cbrt (cbrt (- x (* (/ 3.0 8.0) y))))
406.0ms
(cbrt (cbrt (- x (* (/ 3.0 8.0) y))))
349.0ms
(cbrt (cbrt (- x (* (/ 3.0 8.0) y))))
351.0ms
(pow (cbrt (cbrt (- x (* (/ 3.0 8.0) y)))) 6)

simplify1.6s

Counts
84 → 84
Iterations

Useful iterations: done (1.6s)

IterNodesCost
01411482
13081423
27571252
323241183
done50011142

prune461.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0.0b

regimes2.0ms