Details

Time bar (total: 7.5s)

sample35.0ms

Algorithm
intervals
Results
16.0ms322×body80valid

simplify321.0ms

Counts
1 → 1

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 2 expressions with local error:

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

rewrite64.0ms

Algorithm
rewrite-expression-head
Rules
8×add-sqr-sqrt
6×*-un-lft-identity
5×associate-*l*
4×pow1 add-exp-log add-cube-cbrt add-cbrt-cube add-log-exp
3×associate-*r*
2×associate-*l/
1×+-commutative flip3-- flip3-+ pow-prod-down prod-exp sum-log *-commutative flip-- cbrt-unprod flip-+ distribute-lft-out-- difference-of-squares unswap-sqr
Counts
2 → 33
Calls
2 calls:
19.0ms
(+ (* x y) (* (- 1.0 x) z))
44.0ms
(* (- 1.0 x) z)

series88.0ms

Counts
2 → 6
Calls
2 calls:
46.0ms
(+ (* x y) (* (- 1.0 x) z))
42.0ms
(* (- 1.0 x) z)

simplify1.4s

Counts
39 → 39

prune127.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize24.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (pow 1.0 3) (pow x 3))
0.0b
(+ (* x y) (/ (* (- (pow 1.0 3) (pow x 3)) z) (+ (* 1.0 1.0) (+ (* x x) (* 1.0 x)))))
1.5b
(* (- (pow 1.0 3) (pow x 3)) z)
10.7b
(/ (* (- (pow 1.0 3) (pow x 3)) z) (+ (* 1.0 1.0) (+ (* x x) (* 1.0 x))))

rewrite343.0ms

Algorithm
rewrite-expression-head
Rules
58×add-sqr-sqrt
32×difference-of-squares
28×*-un-lft-identity
25×associate-*l*
24×unpow-prod-down cube-prod
16×sqr-pow
11×add-exp-log add-cbrt-cube
10×distribute-lft-out--
8×add-cube-cbrt add-log-exp
6×pow1
4×associate-*l/
3×flip3-- times-frac associate-*r* associate-/r* flip--
2×difference-cubes cbrt-undiv flip3-+ div-exp prod-exp associate-/r/ cbrt-unprod flip-+ associate-/l/
1×+-commutative sub-neg frac-2neg diff-log pow-prod-down clear-num sum-log *-commutative div-inv associate-/l* unswap-sqr
Counts
4 → 112
Calls
4 calls:
40.0ms
(- (pow 1.0 3) (pow x 3))
86.0ms
(+ (* x y) (/ (* (- (pow 1.0 3) (pow x 3)) z) (+ (* 1.0 1.0) (+ (* x x) (* 1.0 x)))))
107.0ms
(* (- (pow 1.0 3) (pow x 3)) z)
101.0ms
(/ (* (- (pow 1.0 3) (pow x 3)) z) (+ (* 1.0 1.0) (+ (* x x) (* 1.0 x))))

series400.0ms

Counts
4 → 12
Calls
4 calls:
90.0ms
(- (pow 1.0 3) (pow x 3))
136.0ms
(+ (* x y) (/ (* (- (pow 1.0 3) (pow x 3)) z) (+ (* 1.0 1.0) (+ (* x x) (* 1.0 x)))))
58.0ms
(* (- (pow 1.0 3) (pow x 3)) z)
116.0ms
(/ (* (- (pow 1.0 3) (pow x 3)) z) (+ (* 1.0 1.0) (+ (* x x) (* 1.0 x))))

simplify1.1s

Counts
124 → 124

prune469.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b
(* (- 1.0 x) z)
0.0b
(sqrt (+ (* x y) (* (- 1.0 x) z)))
0.0b
(sqrt (+ (* x y) (* (- 1.0 x) z)))
0.2b
(* (sqrt (+ (* x y) (* (- 1.0 x) z))) (sqrt (+ (* x y) (* (- 1.0 x) z))))

rewrite110.0ms

Algorithm
rewrite-expression-head
Rules
34×add-sqr-sqrt
24×sqrt-prod
23×pow1
18×*-un-lft-identity
16×add-cube-cbrt sqrt-div
11×associate-*l*
10×sqrt-pow1 pow1/2
9×associate-*r*
8×add-exp-log flip3-+ swap-sqr add-cbrt-cube flip-+
5×pow-prod-up unswap-sqr
4×frac-times pow-prod-down associate-*l/ add-log-exp
3×pow-sqr
2×rem-sqrt-square associate-*r/ prod-exp *-commutative cbrt-unprod
1×pow2 flip3-- pow-plus sqrt-unprod rem-square-sqrt flip-- distribute-lft-out-- difference-of-squares
Counts
4 → 109
Calls
4 calls:
25.0ms
(* (- 1.0 x) z)
13.0ms
(sqrt (+ (* x y) (* (- 1.0 x) z)))
9.0ms
(sqrt (+ (* x y) (* (- 1.0 x) z)))
58.0ms
(* (sqrt (+ (* x y) (* (- 1.0 x) z))) (sqrt (+ (* x y) (* (- 1.0 x) z))))

series402.0ms

Counts
4 → 12
Calls
4 calls:
36.0ms
(* (- 1.0 x) z)
144.0ms
(sqrt (+ (* x y) (* (- 1.0 x) z)))
173.0ms
(sqrt (+ (* x y) (* (- 1.0 x) z)))
49.0ms
(* (sqrt (+ (* x y) (* (- 1.0 x) z))) (sqrt (+ (* x y) (* (- 1.0 x) z))))

simplify624.0ms

Counts
121 → 121

prune652.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes92.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify282.0ms

end0.0ms

sample918.0ms

Algorithm
intervals
Results
382.0ms10106×body80valid