Details

Time bar (total: 14.7s)

sample24.0ms

Algorithm
intervals
Results
11.0ms256×body80valid
3.0ms256×pre80true

simplify1.1s

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
011415
123415
258415
3159415
4417415
51566415
done5000415

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 62.0b

localize20.0ms

Local error

Found 1 expressions with local error:

62.0b
(- (* 9.0 (pow x 4.0)) (* (* y y) (- (* y y) 2.0)))

rewrite15.0ms

Algorithm
rewrite-expression-head
Rules
4×associate--r+
3×sub-neg add-log-exp
2×distribute-rgt-in distribute-lft-in
1×add-sqr-sqrt pow1 *-un-lft-identity flip3-- add-cbrt-cube diff-log add-exp-log add-cube-cbrt flip--
Counts
1 → 16
Calls
1 calls:
14.0ms
(- (* 9.0 (pow x 4.0)) (* (* y y) (- (* y y) 2.0)))

series244.0ms

Counts
1 → 3
Calls
1 calls:
244.0ms
(- (* 9.0 (pow x 4.0)) (* (* y y) (- (* y y) 2.0)))

simplify1.0s

Counts
19 → 19
Iterations

Useful iterations: done (998.0ms)

IterNodesCost
05410993
11559599
27129166
done50009086

prune95.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 52.0b

localize18.0ms

Local error

Found 1 expressions with local error:

23.0b
(- (* 9.0 (pow x 4.0)) (* (* y y) (* y y)))

rewrite11.0ms

Algorithm
rewrite-expression-head
Rules
3×add-log-exp
1×add-sqr-sqrt pow1 sub-neg *-un-lft-identity flip3-- add-cbrt-cube diff-log add-exp-log add-cube-cbrt flip--
Counts
1 → 12
Calls
1 calls:
10.0ms
(- (* 9.0 (pow x 4.0)) (* (* y y) (* y y)))

series538.0ms

Counts
1 → 3
Calls
1 calls:
538.0ms
(- (* 9.0 (pow x 4.0)) (* (* y y) (* y y)))

simplify4.8s

Counts
15 → 15
Iterations

Useful iterations: 2 (123.0ms)

IterNodesCost
0467544
11247173
25696651
348026651
done50006651

prune72.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 52.0b

localize25.0ms

Local error

Found 4 expressions with local error:

1.0b
(cbrt (* (* (- (* 9.0 (pow x 4.0)) (* (* y y) (* y y))) (- (* 9.0 (pow x 4.0)) (* (* y y) (* y y)))) (- (* 9.0 (pow x 4.0)) (* (* y y) (* y y)))))
23.0b
(- (* 9.0 (pow x 4.0)) (* (* y y) (* y y)))
23.0b
(- (* 9.0 (pow x 4.0)) (* (* y y) (* y y)))
23.0b
(- (* 9.0 (pow x 4.0)) (* (* y y) (* y y)))

rewrite159.0ms

Algorithm
rewrite-expression-head
Rules
30×flip3-- flip--
28×frac-times
26×cbrt-div
14×associate-*l/
10×add-log-exp
8×associate-*r/
4×add-sqr-sqrt pow1 *-un-lft-identity add-cbrt-cube add-exp-log add-cube-cbrt
3×sub-neg diff-log
1×cbrt-prod pow1/3 pow3 rem-cbrt-cube
Counts
4 → 72
Calls
4 calls:
126.0ms
(cbrt (* (* (- (* 9.0 (pow x 4.0)) (* (* y y) (* y y))) (- (* 9.0 (pow x 4.0)) (* (* y y) (* y y)))) (- (* 9.0 (pow x 4.0)) (* (* y y) (* y y)))))
8.0ms
(- (* 9.0 (pow x 4.0)) (* (* y y) (* y y)))
8.0ms
(- (* 9.0 (pow x 4.0)) (* (* y y) (* y y)))
13.0ms
(- (* 9.0 (pow x 4.0)) (* (* y y) (* y y)))

series2.8s

Counts
4 → 12
Calls
4 calls:
630.0ms
(cbrt (* (* (- (* 9.0 (pow x 4.0)) (* (* y y) (* y y))) (- (* 9.0 (pow x 4.0)) (* (* y y) (* y y)))) (- (* 9.0 (pow x 4.0)) (* (* y y) (* y y)))))
673.0ms
(- (* 9.0 (pow x 4.0)) (* (* y y) (* y y)))
904.0ms
(- (* 9.0 (pow x 4.0)) (* (* y y) (* y y)))
620.0ms
(- (* 9.0 (pow x 4.0)) (* (* y y) (* y y)))

simplify2.3s

Counts
84 → 84
Iterations

Useful iterations: done (2.3s)

IterNodesCost
014170378
133262106
2177859898
done500058138

prune408.0ms

Pruning

1 alts after pruning (0 fresh and 1 done)

Merged error: 52.0b

simplify16.0ms

Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
016655
121655
225655
329655
done29655

end0.0ms

sample938.0ms

Algorithm
intervals
Results
594.0ms8000×body80valid
158.0ms8000×pre80true