Details

Time bar (total: 3.2s)

sample21.0ms

Algorithm
intervals
Results
8.0ms327×body80valid

simplify8.0ms

Counts
1 → 1

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 1 expressions with local error:

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

rewrite34.0ms

Algorithm
rewrite-expression-head
Rules
7×*-un-lft-identity
6×flip3-+ flip-+
5×add-sqr-sqrt
4×frac-times associate-*r* associate-*l*
3×pow1 add-exp-log add-cube-cbrt add-cbrt-cube
2×associate-*r/ associate-*l/ distribute-lft-out
1×distribute-rgt-in distribute-lft-in pow-prod-down prod-exp *-commutative cbrt-unprod add-log-exp unswap-sqr
Counts
1 → 30
Calls
1 calls:
33.0ms
(* (+ x y) (+ z 1.0))

series42.0ms

Counts
1 → 3
Calls
1 calls:
41.0ms
(* (+ x y) (+ z 1.0))

simplify31.0ms

Counts
33 → 33

prune67.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b
(sqrt (+ z 1.0))
0.0b
(sqrt (+ z 1.0))
0.1b
(* (+ x y) (sqrt (+ z 1.0)))
0.1b
(* (* (+ x y) (sqrt (+ z 1.0))) (sqrt (+ z 1.0)))

rewrite125.0ms

Algorithm
rewrite-expression-head
Rules
46×sqrt-div
35×flip3-+ flip-+
32×frac-times
21×*-un-lft-identity
17×add-sqr-sqrt sqrt-prod
16×associate-*l/
14×associate-*r*
13×pow1
11×add-exp-log add-cube-cbrt add-cbrt-cube
10×associate-*r/
5×associate-*l* distribute-lft-out
4×pow-prod-down prod-exp cbrt-unprod add-log-exp
2×rem-sqrt-square sqrt-pow1 pow1/2 *-commutative unswap-sqr
Counts
4 → 112
Calls
4 calls:
7.0ms
(sqrt (+ z 1.0))
7.0ms
(sqrt (+ z 1.0))
37.0ms
(* (+ x y) (sqrt (+ z 1.0)))
69.0ms
(* (* (+ x y) (sqrt (+ z 1.0))) (sqrt (+ z 1.0)))

series169.0ms

Counts
4 → 12
Calls
4 calls:
29.0ms
(sqrt (+ z 1.0))
33.0ms
(sqrt (+ z 1.0))
71.0ms
(* (+ x y) (sqrt (+ z 1.0)))
36.0ms
(* (* (+ x y) (sqrt (+ z 1.0))) (sqrt (+ z 1.0)))

simplify45.0ms

Counts
124 → 124

prune294.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize29.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (* (+ x y) (sqrt (+ z 1.0))) (sqrt (+ (pow z 3) (pow 1.0 3))))
2.6b
(sqrt (+ (pow z 3) (pow 1.0 3)))
4.2b
(/ (* (* (+ x y) (sqrt (+ z 1.0))) (sqrt (+ (pow z 3) (pow 1.0 3)))) (sqrt (+ (* z z) (- (* 1.0 1.0) (* z 1.0)))))
6.6b
(sqrt (+ (* z z) (- (* 1.0 1.0) (* z 1.0))))

rewrite273.0ms

Algorithm
rewrite-expression-head
Rules
78×sqrt-div
57×flip3-+ flip-+
56×frac-times
32×*-un-lft-identity
28×associate-*l/
27×sqrt-prod
26×associate-/l/
18×add-exp-log add-cbrt-cube
16×associate-*r/
14×add-sqr-sqrt
12×add-cube-cbrt associate-*r*
11×pow1
10×distribute-lft-out
8×unpow-prod-down cube-prod
6×times-frac prod-exp associate-/r* cbrt-unprod
4×add-log-exp
3×cbrt-undiv div-exp pow-prod-down
2×rem-sqrt-square sqrt-pow1 pow1/2 associate-/r/ sum-cubes
1×frac-2neg associate-*l* clear-num *-commutative div-inv associate-/l*
Counts
4 → 146
Calls
4 calls:
102.0ms
(* (* (+ x y) (sqrt (+ z 1.0))) (sqrt (+ (pow z 3) (pow 1.0 3))))
31.0ms
(sqrt (+ (pow z 3) (pow 1.0 3)))
105.0ms
(/ (* (* (+ x y) (sqrt (+ z 1.0))) (sqrt (+ (pow z 3) (pow 1.0 3)))) (sqrt (+ (* z z) (- (* 1.0 1.0) (* z 1.0)))))
27.0ms
(sqrt (+ (* z z) (- (* 1.0 1.0) (* z 1.0))))

series472.0ms

Counts
4 → 12
Calls
4 calls:
121.0ms
(* (* (+ x y) (sqrt (+ z 1.0))) (sqrt (+ (pow z 3) (pow 1.0 3))))
50.0ms
(sqrt (+ (pow z 3) (pow 1.0 3)))
242.0ms
(/ (* (* (+ x y) (sqrt (+ z 1.0))) (sqrt (+ (pow z 3) (pow 1.0 3)))) (sqrt (+ (* z z) (- (* 1.0 1.0) (* z 1.0)))))
58.0ms
(sqrt (+ (* z z) (- (* 1.0 1.0) (* z 1.0))))

simplify87.0ms

Counts
158 → 158

prune741.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes107.0ms

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

sample641.0ms

Algorithm
intervals
Results
316.0ms10162×body80valid
0.0ms3×body640valid