Details

Time bar (total: 7.6s)

sample21.0ms

Algorithm
intervals
Results
9.0ms350×body80valid

simplify20.0ms

Counts
1 → 1

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 6.6b

localize5.0ms

Local error

Found 1 expressions with local error:

6.1b
(* x (+ 1.0 (* y y)))

rewrite23.0ms

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×associate-*r/
1×distribute-rgt-in distribute-lft-in flip3-+ pow-prod-down prod-exp *-commutative cbrt-unprod flip-+ add-log-exp unswap-sqr
Counts
1 → 22
Calls
1 calls:
22.0ms
(* x (+ 1.0 (* y y)))

series54.0ms

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

simplify1.2s

Counts
25 → 25

prune52.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 6.4b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (* x 1.0) (* x (* y y)))
11.9b
(* x (* y y))

rewrite39.0ms

Algorithm
rewrite-expression-head
Rules
7×pow1 add-exp-log add-cbrt-cube
4×add-sqr-sqrt add-log-exp
3×add-cube-cbrt *-un-lft-identity associate-*l* pow-prod-down prod-exp cbrt-unprod
1×+-commutative flip3-+ associate-*r* sum-log *-commutative flip-+ distribute-lft-out unswap-sqr
Counts
2 → 31
Calls
2 calls:
19.0ms
(+ (* x 1.0) (* x (* y y)))
19.0ms
(* x (* y y))

series130.0ms

Counts
2 → 6
Calls
2 calls:
87.0ms
(+ (* x 1.0) (* x (* y y)))
43.0ms
(* x (* y y))

simplify1.3s

Counts
37 → 37

prune60.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 2 expressions with local error:

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

rewrite30.0ms

Algorithm
rewrite-expression-head
Rules
7×pow1 add-exp-log add-cbrt-cube
4×add-log-exp
3×add-sqr-sqrt add-cube-cbrt *-un-lft-identity associate-*r* pow-prod-down prod-exp cbrt-unprod
1×+-commutative flip3-+ associate-*l* sum-log *-commutative flip-+
Counts
2 → 29
Calls
2 calls:
9.0ms
(+ (* x 1.0) (* (* x y) y))
20.0ms
(* (* x y) y)

series120.0ms

Counts
2 → 6
Calls
2 calls:
83.0ms
(+ (* x 1.0) (* (* x y) y))
36.0ms
(* (* x y) y)

simplify1.5s

Counts
35 → 35

prune65.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

localize12.0ms

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)

rewrite16.0ms

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 y) (cbrt y))
1.0ms
(cbrt y)
1.0ms
(cbrt y)
1.0ms
(cbrt y)

series1.0s

Counts
4 → 12
Calls
4 calls:
258.0ms
(* (cbrt y) (cbrt y))
281.0ms
(cbrt y)
244.0ms
(cbrt y)
240.0ms
(cbrt y)

simplify901.0ms

Counts
85 → 85

prune208.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0.0b

regimes53.0ms

Accuracy

-9561.4% (5.4b remaining)

Error of 5.4b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify22.0ms

end0.0ms

sample756.0ms

Algorithm
intervals
Results
366.0ms10754×body80valid