Details

Time bar (total: 16.4s)

sample19.0ms

Algorithm
intervals
Results
9.0ms345×body80valid

simplify131.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
067
1127
2327
3707
41017
51087
61127
done1127

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize11.0ms

Local error

Found 1 expressions with local error:

0.1b
(* (* x y) (- 1.0 y))

rewrite39.0ms

Algorithm
rewrite-expression-head
Rules
18×prod-diff
16×add-sqr-sqrt *-un-lft-identity
14×add-cube-cbrt
11×distribute-rgt-in distribute-lft-in
6×pow1 add-exp-log add-cbrt-cube
5×associate-*r*
3×pow-prod-down prod-exp cbrt-unprod
2×sub-neg associate-*r/
1×expm1-log1p-u flip3-- associate-*l* *-commutative flip-- log1p-expm1-u distribute-lft-out-- add-log-exp difference-of-squares
Counts
1 → 46
Calls
1 calls:
37.0ms
(* (* x y) (- 1.0 y))

series72.0ms

Counts
1 → 3
Calls
1 calls:
72.0ms
(* (* x y) (- 1.0 y))

simplify4.1s

Counts
49 → 49
Iterations

Useful iterations: done (4.1s)

IterNodesCost
0110883
1274712
2834570
33358528
done5000402

prune85.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (* (* x y) (- 1.0 y))) (cbrt (* (* x y) (- 1.0 y))))
9.4b
(cbrt (* (* x y) (- 1.0 y)))
9.4b
(cbrt (* (* x y) (- 1.0 y)))
9.4b
(cbrt (* (* x y) (- 1.0 y)))

rewrite119.0ms

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×expm1-log1p-u frac-times swap-sqr associate-*r* associate-*l* add-cbrt-cube log1p-expm1-u 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 → 80
Calls
4 calls:
41.0ms
(* (cbrt (* (* x y) (- 1.0 y))) (cbrt (* (* x y) (- 1.0 y))))
29.0ms
(cbrt (* (* x y) (- 1.0 y)))
17.0ms
(cbrt (* (* x y) (- 1.0 y)))
30.0ms
(cbrt (* (* x y) (- 1.0 y)))

series886.0ms

Counts
4 → 12
Calls
4 calls:
257.0ms
(* (cbrt (* (* x y) (- 1.0 y))) (cbrt (* (* x y) (- 1.0 y))))
212.0ms
(cbrt (* (* x y) (- 1.0 y)))
215.0ms
(cbrt (* (* x y) (- 1.0 y)))
201.0ms
(cbrt (* (* x y) (- 1.0 y)))

simplify3.0s

Counts
92 → 92
Iterations

Useful iterations: done (3.0s)

IterNodesCost
01712079
14201907
211601747
335081429
done50011359

prune351.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize36.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (* x y)) (* (cbrt (- 1.0 y)) (cbrt (* (* x y) (- 1.0 y)))))
9.4b
(cbrt (* x y))
9.4b
(cbrt (* (* x y) (- 1.0 y)))
9.4b
(cbrt (* (* x y) (- 1.0 y)))

rewrite139.0ms

Algorithm
rewrite-expression-head
Rules
20×associate-*r/
16×cbrt-div
9×pow1 add-exp-log
8×flip3-- flip--
6×pow1/3
5×add-sqr-sqrt add-cube-cbrt *-un-lft-identity pow-prod-down add-cbrt-cube
4×cbrt-prod expm1-log1p-u frac-times associate-*l* log1p-expm1-u add-log-exp
3×prod-exp cbrt-unprod
2×associate-*l/
1×associate-*r* *-commutative
Counts
4 → 67
Calls
4 calls:
98.0ms
(* (cbrt (* x y)) (* (cbrt (- 1.0 y)) (cbrt (* (* x y) (- 1.0 y)))))
3.0ms
(cbrt (* x y))
19.0ms
(cbrt (* (* x y) (- 1.0 y)))
17.0ms
(cbrt (* (* x y) (- 1.0 y)))

series713.0ms

Counts
4 → 12
Calls
4 calls:
225.0ms
(* (cbrt (* x y)) (* (cbrt (- 1.0 y)) (cbrt (* (* x y) (- 1.0 y)))))
106.0ms
(cbrt (* x y))
187.0ms
(cbrt (* (* x y) (- 1.0 y)))
195.0ms
(cbrt (* (* x y) (- 1.0 y)))

simplify2.6s

Counts
79 → 79
Iterations

Useful iterations: done (2.6s)

IterNodesCost
01951632
15101574
213861437
344021258
done50001250

prune451.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0.0b

localize24.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (* (* x y) (- 1.0 y))) (cbrt (* (* x y) (- 1.0 y))))
9.4b
(cbrt (* x y))
9.4b
(cbrt (* (* x y) (- 1.0 y)))
9.4b
(cbrt (* (* x y) (- 1.0 y)))

rewrite143.0ms

Algorithm
rewrite-expression-head
Rules
18×associate-*r/
16×cbrt-div
11×pow1
10×add-sqr-sqrt
9×pow1/3
8×add-cube-cbrt flip3-- *-un-lft-identity flip--
7×cbrt-prod
6×add-exp-log
4×expm1-log1p-u frac-times swap-sqr associate-*r* associate-*l* add-cbrt-cube log1p-expm1-u 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 → 78
Calls
4 calls:
68.0ms
(* (cbrt (* (* x y) (- 1.0 y))) (cbrt (* (* x y) (- 1.0 y))))
6.0ms
(cbrt (* x y))
29.0ms
(cbrt (* (* x y) (- 1.0 y)))
35.0ms
(cbrt (* (* x y) (- 1.0 y)))

series794.0ms

Counts
4 → 12
Calls
4 calls:
274.0ms
(* (cbrt (* (* x y) (- 1.0 y))) (cbrt (* (* x y) (- 1.0 y))))
132.0ms
(cbrt (* x y))
193.0ms
(cbrt (* (* x y) (- 1.0 y)))
195.0ms
(cbrt (* (* x y) (- 1.0 y)))

simplify2.4s

Counts
90 → 90
Iterations

Useful iterations: done (2.4s)

IterNodesCost
01901835
14631677
212611536
337441263
done50001235

prune353.0ms

Pruning

7 alts after pruning (3 fresh and 4 done)

Merged error: 0.0b

regimes2.0ms