Details

Time bar (total: 11.7s)

sample34.0ms

Algorithm
intervals
Results
14.0ms326×body80valid

simplify132.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
067
1127
2327
3747
41347
51707
61937
done1937

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))

rewrite54.0ms

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:
52.0ms
(* (* x y) (- 1.0 y))

series55.0ms

Counts
1 → 3
Calls
1 calls:
55.0ms
(* (* x y) (- 1.0 y))

simplify2.1s

Counts
49 → 49
Iterations

Useful iterations: done (2.1s)

IterNodesCost
0110883
1336718
22285586
done5001562

prune90.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize16.0ms

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))

rewrite58.0ms

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×expm1-log1p-u frac-times add-cbrt-cube log1p-expm1-u 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 → 109
Calls
4 calls:
41.0ms
(* (cbrt (- 1.0 y)) (cbrt (- 1.0 y)))
4.0ms
(cbrt (- 1.0 y))
4.0ms
(cbrt (- 1.0 y))
5.0ms
(cbrt (- 1.0 y))

series454.0ms

Counts
4 → 12
Calls
4 calls:
127.0ms
(* (cbrt (- 1.0 y)) (cbrt (- 1.0 y)))
132.0ms
(cbrt (- 1.0 y))
93.0ms
(cbrt (- 1.0 y))
101.0ms
(cbrt (- 1.0 y))

simplify902.0ms

Counts
121 → 121
Iterations

Useful iterations: done (897.0ms)

IterNodesCost
01521619
13551463
212971391
done50011324

prune480.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize20.0ms

Local error

Found 4 expressions with local error:

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

rewrite46.0ms

Algorithm
rewrite-expression-head
Rules
28×cbrt-div
24×cbrt-prod
14×add-sqr-sqrt *-un-lft-identity
9×flip3-- flip--
8×add-cube-cbrt
4×pow1 add-exp-log expm1-log1p-u frac-times pow1/3 add-cbrt-cube log1p-expm1-u add-log-exp
3×distribute-lft-out-- difference-of-squares
2×associate-*r/ associate-*l/
Counts
4 → 73
Calls
4 calls:
9.0ms
(cbrt (- 1.0 y))
4.0ms
(cbrt (- 1.0 y))
5.0ms
(cbrt (cbrt (- 1.0 y)))
26.0ms
(cbrt (* (cbrt (- 1.0 y)) (cbrt (- 1.0 y))))

series435.0ms

Counts
4 → 12
Calls
4 calls:
119.0ms
(cbrt (- 1.0 y))
94.0ms
(cbrt (- 1.0 y))
96.0ms
(cbrt (cbrt (- 1.0 y)))
126.0ms
(cbrt (* (cbrt (- 1.0 y)) (cbrt (- 1.0 y))))

simplify2.9s

Counts
85 → 85
Iterations

Useful iterations: 3 (1.5s)

IterNodesCost
02001255
14281183
212151123
346601093
done50001093

prune538.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize20.0ms

Local error

Found 4 expressions with local error:

0.2b
(cbrt (cbrt (- 1.0 y)))
0.2b
(cbrt (cbrt (- 1.0 y)))
0.2b
(cbrt (cbrt (- 1.0 y)))
0.4b
(pow (cbrt (cbrt (- 1.0 y))) (+ 3 1))

rewrite58.0ms

Algorithm
rewrite-expression-head
Rules
52×cbrt-prod
24×*-un-lft-identity
22×add-sqr-sqrt
14×add-cube-cbrt
12×cbrt-div
11×unpow-prod-down
5×pow1 add-exp-log
4×expm1-log1p-u pow-unpow pow1/3 add-cbrt-cube log1p-expm1-u distribute-lft-out-- add-log-exp difference-of-squares
3×flip3-- flip--
2×pow-pow
1×unpow-prod-up pow-to-exp pow-exp distribute-lft-out sqr-pow
Counts
4 → 90
Calls
4 calls:
9.0ms
(cbrt (cbrt (- 1.0 y)))
9.0ms
(cbrt (cbrt (- 1.0 y)))
9.0ms
(cbrt (cbrt (- 1.0 y)))
25.0ms
(pow (cbrt (cbrt (- 1.0 y))) (+ 3 1))

series686.0ms

Counts
4 → 12
Calls
4 calls:
143.0ms
(cbrt (cbrt (- 1.0 y)))
120.0ms
(cbrt (cbrt (- 1.0 y)))
139.0ms
(cbrt (cbrt (- 1.0 y)))
283.0ms
(pow (cbrt (cbrt (- 1.0 y))) (+ 3 1))

simplify931.0ms

Counts
102 → 102
Iterations

Useful iterations: done (928.0ms)

IterNodesCost
01771478
14741269
216681214
done50011188

prune578.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

regimes154.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
067
187
done87

end0.0ms

sample853.0ms

Algorithm
intervals
Results
456.0ms10693×body80valid