Details

Time bar (total: 9.5s)

sample15.0ms

Algorithm
intervals
Results
6.0ms345×body80valid

simplify39.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
067
1127
2317
3587
4677
5737
done737

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))

rewrite13.0ms

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:
12.0ms
(* (* x y) (- 1.0 y))

series47.0ms

Counts
1 → 3
Calls
1 calls:
47.0ms
(* (* x y) (- 1.0 y))

simplify2.8s

Counts
29 → 29
Iterations

Useful iterations: 2 (53.0ms)

IterNodesCost
060303
1168294
2777242
34204242
done5000242

prune47.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 4 expressions with local error:

0.1b
(cbrt (- 1.0 y))
0.1b
(cbrt (- 1.0 y))
0.1b
(cbrt (- 1.0 y))
0.2b
(* (cbrt (- 1.0 y)) (cbrt (- 1.0 y)))

rewrite30.0ms

Algorithm
rewrite-expression-head
Rules
43×cbrt-prod
37×add-sqr-sqrt
35×*-un-lft-identity
18×cbrt-div
15×add-cube-cbrt
11×pow1
10×swap-sqr
9×flip3-- pow1/3 flip-- distribute-lft-out--
8×associate-*r* associate-*l*
7×difference-of-squares
6×add-exp-log
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 → 101
Calls
4 calls:
2.0ms
(cbrt (- 1.0 y))
2.0ms
(cbrt (- 1.0 y))
2.0ms
(cbrt (- 1.0 y))
20.0ms
(* (cbrt (- 1.0 y)) (cbrt (- 1.0 y)))

series382.0ms

Counts
4 → 12
Calls
4 calls:
91.0ms
(cbrt (- 1.0 y))
92.0ms
(cbrt (- 1.0 y))
89.0ms
(cbrt (- 1.0 y))
110.0ms
(* (cbrt (- 1.0 y)) (cbrt (- 1.0 y)))

simplify2.4s

Counts
113 → 113
Iterations

Useful iterations: 3 (546.0ms)

IterNodesCost
01481569
13211443
210571360
338251241
done50001241

prune296.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 4 expressions with local error:

0.4b
(* (cbrt (* (* x y) (- 1.0 y))) (cbrt (* (* x y) (- 1.0 y))))
9.3b
(cbrt (* (* x y) (- 1.0 y)))
9.3b
(cbrt (* (* x y) (- 1.0 y)))
9.3b
(cbrt (* (* x y) (- 1.0 y)))

rewrite34.0ms

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:
11.0ms
(* (cbrt (* (* x y) (- 1.0 y))) (cbrt (* (* x y) (- 1.0 y))))
7.0ms
(cbrt (* (* x y) (- 1.0 y)))
7.0ms
(cbrt (* (* x y) (- 1.0 y)))
7.0ms
(cbrt (* (* x y) (- 1.0 y)))

series576.0ms

Counts
4 → 12
Calls
4 calls:
169.0ms
(* (cbrt (* (* x y) (- 1.0 y))) (cbrt (* (* x y) (- 1.0 y))))
137.0ms
(cbrt (* (* x y) (- 1.0 y)))
132.0ms
(cbrt (* (* x y) (- 1.0 y)))
137.0ms
(cbrt (* (* x y) (- 1.0 y)))

simplify486.0ms

Counts
84 → 84
Iterations

Useful iterations: done (484.0ms)

IterNodesCost
01671989
14041858
212931693
done50001490

prune244.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 1 expressions with local error:

11.2b
(* x (pow y 2))

rewrite7.0ms

Algorithm
rewrite-expression-head
Rules
10×add-sqr-sqrt
8×associate-*r*
6×add-exp-log
4×add-cube-cbrt unpow-prod-down *-un-lft-identity unswap-sqr
3×associate-*l* prod-exp add-cbrt-cube
2×unpow2 sqr-pow
1×pow1 pow-to-exp pow-exp *-commutative cbrt-unprod add-log-exp
Counts
1 → 27
Calls
1 calls:
6.0ms
(* x (pow y 2))

series30.0ms

Counts
1 → 3
Calls
1 calls:
30.0ms
(* x (pow y 2))

simplify1.6s

Counts
30 → 30
Iterations

Useful iterations: 2 (44.0ms)

IterNodesCost
051232
1110209
2414176
31775176
done5000176

prune56.0ms

Pruning

7 alts after pruning (3 fresh and 4 done)

Merged error: 0.0b

regimes73.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
067
187
done87

end0.0ms

sample366.0ms

Algorithm
intervals
Results
198.0ms10754×body80valid