Details

Time bar (total: 3.2s)

sample22.0ms

Algorithm
intervals
Results
9.0ms326×body80valid

simplify19.0ms

Counts
1 → 1

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 1 expressions with local error:

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

rewrite10.0ms

Algorithm
rewrite-expression-head
Rules
3×add-log-exp
1×pow1 add-exp-log +-commutative add-sqr-sqrt add-cube-cbrt *-un-lft-identity flip3-+ sum-log add-cbrt-cube flip-+
Counts
1 → 11
Calls
1 calls:
9.0ms
(+ (* x y) (* (- x 1.0) z))

series43.0ms

Counts
1 → 3
Calls
1 calls:
43.0ms
(+ (* x y) (* (- x 1.0) z))

simplify46.0ms

Counts
14 → 14

prune29.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (* x y) (* (- x 1.0) z))
0.0b
(sqrt (+ (* x y) (* (- x 1.0) z)))
0.0b
(sqrt (+ (* x y) (* (- x 1.0) z)))
0.3b
(* (sqrt (+ (* x y) (* (- x 1.0) z))) (sqrt (+ (* x y) (* (- x 1.0) z))))

rewrite76.0ms

Algorithm
rewrite-expression-head
Rules
28×add-sqr-sqrt
24×sqrt-prod
21×pow1
16×sqrt-div
14×add-cube-cbrt *-un-lft-identity
10×sqrt-pow1 pow1/2
9×flip3-+ flip-+
8×swap-sqr
6×add-exp-log associate-*r* associate-*l* add-cbrt-cube add-log-exp
5×pow-prod-up
4×frac-times unswap-sqr
3×pow-prod-down pow-sqr
2×rem-sqrt-square associate-*r/ associate-*l/
1×+-commutative pow2 pow-plus sqrt-unprod prod-exp sum-log rem-square-sqrt *-commutative cbrt-unprod
Counts
4 → 98
Calls
4 calls:
10.0ms
(+ (* x y) (* (- x 1.0) z))
7.0ms
(sqrt (+ (* x y) (* (- x 1.0) z)))
7.0ms
(sqrt (+ (* x y) (* (- x 1.0) z)))
48.0ms
(* (sqrt (+ (* x y) (* (- x 1.0) z))) (sqrt (+ (* x y) (* (- x 1.0) z))))

series245.0ms

Counts
4 → 12
Calls
4 calls:
33.0ms
(+ (* x y) (* (- x 1.0) z))
89.0ms
(sqrt (+ (* x y) (* (- x 1.0) z)))
89.0ms
(sqrt (+ (* x y) (* (- x 1.0) z)))
34.0ms
(* (sqrt (+ (* x y) (* (- x 1.0) z))) (sqrt (+ (* x y) (* (- x 1.0) z))))

simplify39.0ms

Counts
110 → 110

prune194.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize18.0ms

Local error

Found 4 expressions with local error:

0.3b
(* (* x y) (* x y))
1.6b
(+ (* (* (- x 1.0) z) (- (* (- x 1.0) z) (* x y))) (* (* x y) (* x y)))
2.2b
(+ (pow (* x y) 3) (pow (* (- x 1.0) z) 3))
40.1b
(/ (+ (pow (* x y) 3) (pow (* (- x 1.0) z) 3)) (+ (* (* (- x 1.0) z) (- (* (- x 1.0) z) (* x y))) (* (* x y) (* x y))))

rewrite328.0ms

Algorithm
rewrite-expression-head
Rules
43×pow1
24×*-un-lft-identity
18×add-exp-log add-cbrt-cube
17×pow-prod-down
15×times-frac
14×add-sqr-sqrt add-cube-cbrt
8×prod-exp cbrt-unprod add-log-exp
5×sum-cubes distribute-lft-out associate-/l*
4×associate-+l+ flip3-+ pow-sqr pow-prod-up flip-+
3×associate-/r*
2×+-commutative distribute-rgt-in sub-neg distribute-lft-in pow-plus sum-log associate-/r/ associate-/l/
1×cbrt-undiv pow2 frac-2neg swap-sqr div-exp associate-*r* associate-*l* clear-num *-commutative div-inv
Counts
4 → 101
Calls
4 calls:
40.0ms
(* (* x y) (* x y))
96.0ms
(+ (* (* (- x 1.0) z) (- (* (- x 1.0) z) (* x y))) (* (* x y) (* x y)))
25.0ms
(+ (pow (* x y) 3) (pow (* (- x 1.0) z) 3))
163.0ms
(/ (+ (pow (* x y) 3) (pow (* (- x 1.0) z) 3)) (+ (* (* (- x 1.0) z) (- (* (- x 1.0) z) (* x y))) (* (* x y) (* x y))))

series690.0ms

Counts
4 → 12
Calls
4 calls:
34.0ms
(* (* x y) (* x y))
143.0ms
(+ (* (* (- x 1.0) z) (- (* (- x 1.0) z) (* x y))) (* (* x y) (* x y)))
165.0ms
(+ (pow (* x y) 3) (pow (* (- x 1.0) z) 3))
348.0ms
(/ (+ (pow (* x y) 3) (pow (* (- x 1.0) z) 3)) (+ (* (* (- x 1.0) z) (- (* (- x 1.0) z) (* x y))) (* (* x y) (* x y))))

simplify97.0ms

Counts
113 → 113

prune269.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes71.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

end0.0ms

sample971.0ms

Algorithm
intervals
Results
603.0ms10155×body80valid