Details

Time bar (total: 10.1s)

sample28.0ms

Algorithm
intervals
Results
12.0ms331×body80valid

simplify54.0ms

Counts
1 → 1

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize10.0ms

Local error

Found 1 expressions with local error:

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

rewrite32.0ms

Algorithm
rewrite-expression-head
Rules
5×add-sqr-sqrt
3×pow1 add-exp-log add-cube-cbrt *-un-lft-identity associate-*r* associate-*l* add-cbrt-cube
2×distribute-rgt-in sub-neg distribute-lft-in associate-*r/
1×flip3-- pow-prod-down prod-exp *-commutative flip-- cbrt-unprod add-log-exp unswap-sqr
Counts
1 → 24
Calls
1 calls:
31.0ms
(* x (- 1.0 (* x y)))

series54.0ms

Counts
1 → 3
Calls
1 calls:
54.0ms
(* x (- 1.0 (* x y)))

simplify1.2s

Counts
27 → 27

prune62.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (* x 1.0) (* x (- (* x y))))
0.1b
(* x (- (* x y)))

rewrite27.0ms

Algorithm
rewrite-expression-head
Rules
6×add-sqr-sqrt associate-*r*
4×pow1 add-exp-log add-cube-cbrt *-un-lft-identity add-cbrt-cube add-log-exp
3×associate-*l* distribute-rgt-neg-out
1×+-commutative distribute-lft-neg-in neg-mul-1 distribute-rgt-neg-in flip3-+ unsub-neg pow-prod-down prod-exp sum-log *-commutative cbrt-unprod flip-+ distribute-lft-out unswap-sqr
Counts
2 → 36
Calls
2 calls:
9.0ms
(+ (* x 1.0) (* x (- (* x y))))
17.0ms
(* x (- (* x y)))

series71.0ms

Counts
2 → 6
Calls
2 calls:
48.0ms
(+ (* x 1.0) (* x (- (* x y))))
23.0ms
(* x (- (* x y)))

simplify686.0ms

Counts
42 → 42

prune167.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize23.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt x) (cbrt x))
0.7b
(cbrt x)
0.7b
(cbrt x)
0.7b
(cbrt x)

rewrite17.0ms

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:
12.0ms
(* (cbrt x) (cbrt x))
1.0ms
(cbrt x)
1.0ms
(cbrt x)
1.0ms
(cbrt x)

series1.2s

Counts
4 → 12
Calls
4 calls:
292.0ms
(* (cbrt x) (cbrt x))
308.0ms
(cbrt x)
277.0ms
(cbrt x)
300.0ms
(cbrt x)

simplify918.0ms

Counts
85 → 85

prune356.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

localize45.0ms

Local error

Found 4 expressions with local error:

0.7b
(cbrt x)
0.7b
(cbrt x)
0.7b
(cbrt x)
0.7b
(cbrt (cbrt x))

rewrite8.0ms

Algorithm
rewrite-expression-head
Rules
18×cbrt-prod
9×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
4×pow1 add-exp-log pow1/3 add-cbrt-cube add-log-exp
Counts
4 → 47
Calls
4 calls:
1.0ms
(cbrt x)
2.0ms
(cbrt x)
2.0ms
(cbrt x)
3.0ms
(cbrt (cbrt x))

series1.4s

Counts
4 → 12
Calls
4 calls:
246.0ms
(cbrt x)
227.0ms
(cbrt x)
265.0ms
(cbrt x)
632.0ms
(cbrt (cbrt x))

simplify2.6s

Counts
59 → 59

prune332.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0b

regimes69.0ms

Accuracy

-8.7% (0.1b remaining)

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

bsearch0.0ms

simplify38.0ms

end0.0ms

sample776.0ms

Algorithm
intervals
Results
410.0ms10679×body80valid