Details

Time bar (total: 6.3s)

sample37.0ms

Algorithm
intervals
Results
14.0ms326×body80valid

simplify73.0ms

Counts
1 → 1

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 3.6b

localize10.0ms

Local error

Found 1 expressions with local error:

3.4b
(* x (- 1.0 (* y z)))

rewrite30.0ms

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:
29.0ms
(* x (- 1.0 (* y z)))

series88.0ms

Counts
1 → 3
Calls
1 calls:
88.0ms
(* x (- 1.0 (* y z)))

simplify837.0ms

Counts
27 → 27

prune81.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 3.4b

localize10.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (* x 1.0) (* x (- (* y z))))
7.2b
(* x (- (* y z)))

rewrite23.0ms

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 (- (* y z))))
12.0ms
(* x (- (* y z)))

series95.0ms

Counts
2 → 6
Calls
2 calls:
62.0ms
(+ (* x 1.0) (* x (- (* y z))))
33.0ms
(* x (- (* y z)))

simplify747.0ms

Counts
42 → 42

prune138.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize23.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt x)
0.6b
(cbrt x)
3.4b
(* (cbrt x) (- (* y z)))
4.0b
(* (* (cbrt x) (cbrt x)) (* (cbrt x) (- (* y z))))

rewrite95.0ms

Algorithm
rewrite-expression-head
Rules
18×pow1 add-exp-log
13×add-sqr-sqrt
11×add-cbrt-cube
10×cbrt-prod
9×add-cube-cbrt *-un-lft-identity pow-prod-down prod-exp cbrt-unprod
7×associate-*r* associate-*l*
4×add-log-exp
3×distribute-rgt-neg-out
2×pow1/3 *-commutative unswap-sqr
1×distribute-lft-neg-in neg-mul-1 distribute-rgt-neg-in
Counts
4 → 71
Calls
4 calls:
1.0ms
(cbrt x)
4.0ms
(cbrt x)
15.0ms
(* (cbrt x) (- (* y z)))
74.0ms
(* (* (cbrt x) (cbrt x)) (* (cbrt x) (- (* y z))))

series714.0ms

Counts
4 → 12
Calls
4 calls:
251.0ms
(cbrt x)
275.0ms
(cbrt x)
129.0ms
(* (cbrt x) (- (* y z)))
60.0ms
(* (* (cbrt x) (cbrt x)) (* (cbrt x) (- (* y z))))

simplify673.0ms

Counts
83 → 83

prune308.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (* x 1.0) (* (* x (- y)) z))
7.1b
(* (* x (- y)) z)

rewrite55.0ms

Algorithm
rewrite-expression-head
Rules
7×pow1 add-exp-log add-cbrt-cube
4×add-log-exp
3×distribute-lft-neg-out add-sqr-sqrt add-cube-cbrt *-un-lft-identity associate-*r* pow-prod-down prod-exp distribute-rgt-neg-out cbrt-unprod
1×+-commutative flip3-+ associate-*l* unsub-neg sum-log *-commutative flip-+
Counts
2 → 32
Calls
2 calls:
11.0ms
(+ (* x 1.0) (* (* x (- y)) z))
43.0ms
(* (* x (- y)) z)

series148.0ms

Counts
2 → 6
Calls
2 calls:
100.0ms
(+ (* x 1.0) (* (* x (- y)) z))
48.0ms
(* (* x (- y)) z)

simplify636.0ms

Counts
38 → 38

prune75.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0.0b

regimes168.0ms

Accuracy

-0.1% (3.4b remaining)

Error of 3.4b against oracle of 0.0b and baseline of 3.4b

bsearch2.0ms

simplify492.0ms

end0.0ms

sample738.0ms

Algorithm
intervals
Results
349.0ms9624×body80valid