Details

Time bar (total: 9.4s)

sample22.0ms

Algorithm
intervals
Results
11.0ms323×body80valid

simplify56.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
067
1127
2327
3707
41027
51137
done1137

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize18.0ms

Local error

Found 1 expressions with local error:

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

rewrite34.0ms

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:
33.0ms
(* (* x y) (- 1.0 y))

series57.0ms

Counts
1 → 3
Calls
1 calls:
57.0ms
(* (* x y) (- 1.0 y))

simplify662.0ms

Counts
29 → 29
Iterations

Useful iterations: done (660.0ms)

IterNodesCost
060303
1175294
21142254
done5000242

prune74.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize19.0ms

Local error

Found 4 expressions with local error:

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

rewrite77.0ms

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:
53.0ms
(* (cbrt (- 1.0 y)) (cbrt (- 1.0 y)))
7.0ms
(cbrt (- 1.0 y))
7.0ms
(cbrt (- 1.0 y))
7.0ms
(cbrt (- 1.0 y))

series473.0ms

Counts
4 → 12
Calls
4 calls:
144.0ms
(* (cbrt (- 1.0 y)) (cbrt (- 1.0 y)))
99.0ms
(cbrt (- 1.0 y))
115.0ms
(cbrt (- 1.0 y))
115.0ms
(cbrt (- 1.0 y))

simplify889.0ms

Counts
113 → 113
Iterations

Useful iterations: done (883.0ms)

IterNodesCost
01481569
13421431
211651360
done50001320

prune402.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize35.0ms

Local error

Found 4 expressions with local error:

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

rewrite46.0ms

Algorithm
rewrite-expression-head
Rules
26×cbrt-div
16×cbrt-prod
13×add-sqr-sqrt *-un-lft-identity
9×flip3-- flip--
7×add-cube-cbrt
4×pow1 add-exp-log frac-times pow1/3 add-cbrt-cube add-log-exp
3×distribute-lft-out-- difference-of-squares
2×associate-*r/ associate-*l/
Counts
4 → 62
Calls
4 calls:
4.0ms
(cbrt (- 1.0 y))
4.0ms
(cbrt (- 1.0 y))
7.0ms
(cbrt (- 1.0 y))
28.0ms
(cbrt (* (cbrt (- 1.0 y)) (cbrt (- 1.0 y))))

series503.0ms

Counts
4 → 12
Calls
4 calls:
105.0ms
(cbrt (- 1.0 y))
140.0ms
(cbrt (- 1.0 y))
118.0ms
(cbrt (- 1.0 y))
141.0ms
(cbrt (* (cbrt (- 1.0 y)) (cbrt (- 1.0 y))))

simplify2.5s

Counts
74 → 74
Iterations

Useful iterations: done (2.5s)

IterNodesCost
01501140
13141087
28901029
33459967
done5003949

prune420.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize24.0ms

Local error

Found 4 expressions with local error:

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

rewrite70.0ms

Algorithm
rewrite-expression-head
Rules
93×cbrt-prod
51×add-sqr-sqrt
39×*-un-lft-identity
30×cbrt-div
19×add-cube-cbrt
13×swap-sqr
11×pow1 associate-*r* associate-*l*
9×flip3-- pow1/3 flip-- distribute-lft-out-- unswap-sqr
7×difference-of-squares
6×add-exp-log
4×frac-times add-cbrt-cube add-log-exp
2×associate-*r/ pow-prod-down associate-*l/ pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 115
Calls
4 calls:
7.0ms
(cbrt (- 1.0 y))
4.0ms
(cbrt (- 1.0 y))
4.0ms
(cbrt (- 1.0 y))
47.0ms
(* (cbrt (cbrt (- 1.0 y))) (cbrt (cbrt (- 1.0 y))))

series583.0ms

Counts
4 → 12
Calls
4 calls:
136.0ms
(cbrt (- 1.0 y))
149.0ms
(cbrt (- 1.0 y))
142.0ms
(cbrt (- 1.0 y))
156.0ms
(* (cbrt (cbrt (- 1.0 y))) (cbrt (cbrt (- 1.0 y))))

simplify934.0ms

Counts
127 → 127
Iterations

Useful iterations: done (928.0ms)

IterNodesCost
01861996
14001841
213061761
done50011694

prune561.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

regimes84.0ms

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

sample865.0ms

Algorithm
intervals
Results
459.0ms10557×body80valid