Details

Time bar (total: 11.5s)

sample40.0ms

Algorithm
intervals
Results
19.0ms323×body80valid

simplify211.0ms

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

localize12.0ms

Local error

Found 1 expressions with local error:

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

rewrite64.0ms

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:
61.0ms
(* (* x y) (- 1.0 y))

series76.0ms

Counts
1 → 3
Calls
1 calls:
76.0ms
(* (* x y) (- 1.0 y))

simplify2.2s

Counts
49 → 49
Iterations

Useful iterations: done (2.2s)

IterNodesCost
0110883
1336718
22285586
done5001562

prune77.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize29.0ms

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))

rewrite83.0ms

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:
50.0ms
(* (cbrt (- 1.0 y)) (cbrt (- 1.0 y)))
8.0ms
(cbrt (- 1.0 y))
9.0ms
(cbrt (- 1.0 y))
8.0ms
(cbrt (- 1.0 y))

series617.0ms

Counts
4 → 12
Calls
4 calls:
177.0ms
(* (cbrt (- 1.0 y)) (cbrt (- 1.0 y)))
156.0ms
(cbrt (- 1.0 y))
134.0ms
(cbrt (- 1.0 y))
150.0ms
(cbrt (- 1.0 y))

simplify911.0ms

Counts
121 → 121
Iterations

Useful iterations: done (904.0ms)

IterNodesCost
01521619
13551463
212971391
done50011324

prune503.0ms

Pruning

6 alts after pruning (5 fresh and 1 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 (- 1.0 y))))

rewrite44.0ms

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 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 → 70
Calls
4 calls:
4.0ms
(cbrt (- 1.0 y))
15.0ms
(cbrt (- 1.0 y))
7.0ms
(cbrt (- 1.0 y))
15.0ms
(cbrt (* (cbrt (- 1.0 y)) (cbrt (- 1.0 y))))

series550.0ms

Counts
4 → 12
Calls
4 calls:
155.0ms
(cbrt (- 1.0 y))
114.0ms
(cbrt (- 1.0 y))
116.0ms
(cbrt (- 1.0 y))
166.0ms
(cbrt (* (cbrt (- 1.0 y)) (cbrt (- 1.0 y))))

simplify2.5s

Counts
82 → 82
Iterations

Useful iterations: done (2.5s)

IterNodesCost
01541192
13281118
29611060
337431001
done5000997

prune433.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize19.0ms

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))))

rewrite85.0ms

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×expm1-log1p-u frac-times add-cbrt-cube log1p-expm1-u 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 → 123
Calls
4 calls:
4.0ms
(cbrt (- 1.0 y))
4.0ms
(cbrt (- 1.0 y))
4.0ms
(cbrt (- 1.0 y))
67.0ms
(* (cbrt (cbrt (- 1.0 y))) (cbrt (cbrt (- 1.0 y))))

series515.0ms

Counts
4 → 12
Calls
4 calls:
125.0ms
(cbrt (- 1.0 y))
118.0ms
(cbrt (- 1.0 y))
120.0ms
(cbrt (- 1.0 y))
152.0ms
(* (cbrt (cbrt (- 1.0 y))) (cbrt (cbrt (- 1.0 y))))

simplify833.0ms

Counts
135 → 135
Iterations

Useful iterations: done (827.0ms)

IterNodesCost
01902050
14141876
213411796
done50001727

prune724.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

regimes139.0ms

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

sample828.0ms

Algorithm
intervals
Results
356.0ms10557×body80valid