Details

Time bar (total: 2.8s)

sample20.0ms

Algorithm
intervals
Results
8.0ms350×body80valid

simplify4.0ms

Counts
1 → 1

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize5.0ms

Local error

Found 1 expressions with local error:

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

rewrite38.0ms

Algorithm
rewrite-expression-head
Rules
pow1 add-exp-log add-cbrt-cube
associate-*r*
add-sqr-sqrt *-un-lft-identity
pow-prod-down prod-exp cbrt-unprod
distribute-rgt-in add-cube-cbrt sub-neg distribute-lft-in associate-*r/
flip3-- associate-*l* *-commutative flip-- distribute-lft-out-- add-log-exp difference-of-squares
Counts
1 → 26
Calls
1 calls:
37.0ms
(* (* x y) (- 1.0 y))

series49.0ms

Counts
1 → 3
Calls
1 calls:
49.0ms
(* (* x y) (- 1.0 y))

simplify96.0ms

Counts
29 → 29

prune47.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize11.0ms

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 (- 1.0 y)) (cbrt (- 1.0 y)))

rewrite60.0ms

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
flip3-- pow1/3 flip-- distribute-lft-out--
associate-*r* associate-*l*
difference-of-squares
add-exp-log
frac-times add-cbrt-cube add-log-exp unswap-sqr
associate-*r/ pow-prod-down associate-*l/ pow-sqr pow-prod-up
pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 101
Calls
4 calls:
4.0ms
(cbrt (- 1.0 y))
4.0ms
(cbrt (- 1.0 y))
4.0ms
(cbrt (- 1.0 y))
43.0ms
(* (cbrt (- 1.0 y)) (cbrt (- 1.0 y)))

series435.0ms

Counts
4 → 12
Calls
4 calls:
116.0ms
(cbrt (- 1.0 y))
103.0ms
(cbrt (- 1.0 y))
104.0ms
(cbrt (- 1.0 y))
111.0ms
(* (cbrt (- 1.0 y)) (cbrt (- 1.0 y)))

simplify75.0ms

Counts
113 → 113

prune424.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b
(* y (- 1.0 y))
4.3b
(* x (* y (- 1.0 y)))

rewrite58.0ms

Algorithm
rewrite-expression-head
Rules
10×distribute-rgt-in distribute-lft-in
pow1 add-exp-log add-sqr-sqrt add-cbrt-cube
*-un-lft-identity
sub-neg associate-*r/ associate-*r* associate-*l*
add-cube-cbrt
pow-prod-down prod-exp cbrt-unprod
flip3-- *-commutative flip-- add-log-exp
distribute-lft-out-- difference-of-squares unswap-sqr
Counts
2 → 54
Calls
2 calls:
21.0ms
(* y (- 1.0 y))
35.0ms
(* x (* y (- 1.0 y)))

series126.0ms

Counts
2 → 6
Calls
2 calls:
63.0ms
(* y (- 1.0 y))
63.0ms
(* x (* y (- 1.0 y)))

simplify79.0ms

Counts
60 → 60

prune118.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (* x (* y 1.0)) (* x (* (- y) y)))
9.1b
(* x (* (- y) y))

rewrite44.0ms

Algorithm
rewrite-expression-head
Rules
pow1 add-exp-log add-cbrt-cube
add-log-exp
distribute-lft-neg-out add-sqr-sqrt add-cube-cbrt *-un-lft-identity associate-*l* pow-prod-down prod-exp distribute-rgt-neg-out cbrt-unprod
+-commutative flip3-+ associate-*r* unsub-neg sum-log *-commutative flip-+ distribute-lft-out
Counts
2 → 33
Calls
2 calls:
23.0ms
(+ (* x (* y 1.0)) (* x (* (- y) y)))
20.0ms
(* x (* (- y) y))

series129.0ms

Counts
2 → 6
Calls
2 calls:
95.0ms
(+ (* x (* y 1.0)) (* x (* (- y) y)))
34.0ms
(* x (* (- y) y))

simplify34.0ms

Counts
39 → 39

prune72.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0.0b

regimes83.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify5.0ms

end0.0ms

sample820.0ms

Algorithm
intervals
Results
415.0ms10659×body80valid