Details

Time bar (total: 2.9s)

sample15.0ms

Algorithm
intervals
Results
6.0ms340×body80valid

simplify10.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0123
1323
2703
3903
4973
5973
done973

prune1.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize4.0ms

Local error

Found 1 expressions with local error:

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

rewrite31.0ms

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:
30.0ms
(* (* x y) (- 1.0 y))

series45.0ms

Counts
1 → 3
Calls
1 calls:
44.0ms
(* (* x y) (- 1.0 y))

simplify29.0ms

Counts
29 → 29
Iterations

Useful iterations: 1 (6.0ms)

IterNodesCost
0167140
1840114
25002114
done5002114

prune43.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (* (* x y) 1.0) (* (* x y) (- y)))
0.2b
(* (* x y) (- y))

rewrite40.0ms

Algorithm
rewrite-expression-head
Rules
10×associate-*r*
7×pow1 add-exp-log add-cbrt-cube
5×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
4×add-log-exp
3×distribute-lft-neg-in distribute-rgt-neg-in pow-prod-down prod-exp distribute-rgt-neg-out cbrt-unprod
1×+-commutative neg-mul-1 flip3-+ associate-*l* unsub-neg sum-log *-commutative flip-+ distribute-lft-out
Counts
2 → 40
Calls
2 calls:
19.0ms
(+ (* (* x y) 1.0) (* (* x y) (- y)))
20.0ms
(* (* x y) (- y))

series112.0ms

Counts
2 → 6
Calls
2 calls:
78.0ms
(+ (* (* x y) 1.0) (* (* x y) (- y)))
33.0ms
(* (* x y) (- y))

simplify56.0ms

Counts
46 → 46
Iterations

Useful iterations: 2 (53.0ms)

IterNodesCost
0242241
11458200
25002195
done5002195

prune85.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt y) (cbrt y))
0.6b
(cbrt y)
0.6b
(cbrt y)
0.6b
(cbrt y)

rewrite15.0ms

Algorithm
rewrite-expression-head
Rules
25×cbrt-prod
23×add-sqr-sqrt
15×add-cube-cbrt *-un-lft-identity
11×pow1
9×pow1/3
6×add-exp-log swap-sqr associate-*r* associate-*l*
4×add-cbrt-cube add-log-exp unswap-sqr
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 73
Calls
4 calls:
11.0ms
(* (cbrt y) (cbrt y))
1.0ms
(cbrt y)
1.0ms
(cbrt y)
1.0ms
(cbrt y)

series735.0ms

Counts
4 → 12
Calls
4 calls:
197.0ms
(* (cbrt y) (cbrt y))
183.0ms
(cbrt y)
177.0ms
(cbrt y)
177.0ms
(cbrt y)

simplify89.0ms

Counts
85 → 85
Iterations

Useful iterations: 3 (84.0ms)

IterNodesCost
0115288
1472261
22959238
35003235
done5003235

prune219.0ms

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.4b
(* (cbrt (* (* x y) (- y))) (cbrt (* (* x y) (- y))))
21.2b
(cbrt (* (* x y) (- y)))
21.2b
(cbrt (* (* x y) (- y)))
21.2b
(cbrt (* (* x y) (- y)))

rewrite70.0ms

Algorithm
rewrite-expression-head
Rules
11×pow1
10×add-sqr-sqrt
9×pow1/3
8×add-cube-cbrt *-un-lft-identity
7×cbrt-prod
6×add-exp-log
4×swap-sqr associate-*r* associate-*l* add-cbrt-cube add-log-exp
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
4 → 58
Calls
4 calls:
26.0ms
(* (cbrt (* (* x y) (- y))) (cbrt (* (* x y) (- y))))
13.0ms
(cbrt (* (* x y) (- y)))
13.0ms
(cbrt (* (* x y) (- y)))
16.0ms
(cbrt (* (* x y) (- y)))

series458.0ms

Counts
4 → 12
Calls
4 calls:
131.0ms
(* (cbrt (* (* x y) (- y))) (cbrt (* (* x y) (- y))))
109.0ms
(cbrt (* (* x y) (- y)))
108.0ms
(cbrt (* (* x y) (- y)))
110.0ms
(cbrt (* (* x y) (- y)))

simplify95.0ms

Counts
70 → 70
Iterations

Useful iterations: 3 (90.0ms)

IterNodesCost
0209528
1694459
23208384
35002378
done5002378

prune188.0ms

Pruning

10 alts after pruning (7 fresh and 3 done)

Merged error: 0b

regimes97.0ms

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
0146
1186
2246
3246
done246

end0.0ms

sample397.0ms

Algorithm
intervals
Results
180.0ms10607×body80valid