Details

Time bar (total: 14.6s)

sample33.0ms

Algorithm
intervals
Results
16.0ms345×body80valid

simplify104.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
067
1127
2327
3667
4817
5887
done887

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize5.0ms

Local error

Found 1 expressions with local error:

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

rewrite54.0ms

Algorithm
rewrite-expression-head
Rules
6×pow1 add-exp-log add-cbrt-cube
5×associate-*r*
4×add-sqr-sqrt *-un-lft-identity
3×pow-prod-down prod-exp cbrt-unprod
2×distribute-rgt-in add-cube-cbrt sub-neg distribute-lft-in associate-*r/
1×flip3-- associate-*l* *-commutative flip-- distribute-lft-out-- add-log-exp difference-of-squares
Counts
1 → 26
Calls
1 calls:
53.0ms
(* (* x y) (- 1.0 y))

series72.0ms

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

simplify2.7s

Counts
29 → 29
Iterations

Useful iterations: 2 (135.0ms)

IterNodesCost
060303
1165294
2649242
32733242
done5000242

prune50.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize31.0ms

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)))

rewrite144.0ms

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×frac-times swap-sqr associate-*r* associate-*l* add-cbrt-cube 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 → 72
Calls
4 calls:
44.0ms
(* (cbrt (* (* x y) (- 1.0 y))) (cbrt (* (* x y) (- 1.0 y))))
32.0ms
(cbrt (* (* x y) (- 1.0 y)))
32.0ms
(cbrt (* (* x y) (- 1.0 y)))
33.0ms
(cbrt (* (* x y) (- 1.0 y)))

series860.0ms

Counts
4 → 12
Calls
4 calls:
273.0ms
(* (cbrt (* (* x y) (- 1.0 y))) (cbrt (* (* x y) (- 1.0 y))))
179.0ms
(cbrt (* (* x y) (- 1.0 y)))
207.0ms
(cbrt (* (* x y) (- 1.0 y)))
200.0ms
(cbrt (* (* x y) (- 1.0 y)))

simplify2.2s

Counts
84 → 84
Iterations

Useful iterations: done (2.2s)

IterNodesCost
01671989
14011858
210761693
332001362
done50011296

prune415.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize20.0ms

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)))

rewrite209.0ms

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 frac-times associate-*l* add-log-exp
3×prod-exp cbrt-unprod
2×associate-*l/
1×associate-*r* *-commutative
Counts
4 → 59
Calls
4 calls:
133.0ms
(* (cbrt (* x y)) (* (cbrt (- 1.0 y)) (cbrt (* (* x y) (- 1.0 y)))))
7.0ms
(cbrt (* x y))
34.0ms
(cbrt (* (* x y) (- 1.0 y)))
33.0ms
(cbrt (* (* x y) (- 1.0 y)))

series844.0ms

Counts
4 → 12
Calls
4 calls:
271.0ms
(* (cbrt (* x y)) (* (cbrt (- 1.0 y)) (cbrt (* (* x y) (- 1.0 y)))))
114.0ms
(cbrt (* x y))
229.0ms
(cbrt (* (* x y) (- 1.0 y)))
229.0ms
(cbrt (* (* x y) (- 1.0 y)))

simplify2.7s

Counts
71 → 71
Iterations

Useful iterations: done (2.7s)

IterNodesCost
01891548
14891519
212931378
340821179
done50011125

prune375.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0.0b

localize34.0ms

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)))

rewrite126.0ms

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×frac-times swap-sqr associate-*r* associate-*l* add-cbrt-cube 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 → 70
Calls
4 calls:
56.0ms
(* (cbrt (* (* x y) (- 1.0 y))) (cbrt (* (* x y) (- 1.0 y))))
3.0ms
(cbrt (* x y))
31.0ms
(cbrt (* (* x y) (- 1.0 y)))
32.0ms
(cbrt (* (* x y) (- 1.0 y)))

series729.0ms

Counts
4 → 12
Calls
4 calls:
257.0ms
(* (cbrt (* (* x y) (- 1.0 y))) (cbrt (* (* x y) (- 1.0 y))))
90.0ms
(cbrt (* x y))
197.0ms
(cbrt (* (* x y) (- 1.0 y)))
184.0ms
(cbrt (* (* x y) (- 1.0 y)))

simplify2.5s

Counts
82 → 82
Iterations

Useful iterations: done (2.5s)

IterNodesCost
01841753
14421628
211691483
334221202
done50001143

prune331.0ms

Pruning

7 alts after pruning (3 fresh and 4 done)

Merged error: 0.0b

regimes2.0ms