Details

Time bar (total: 8.3s)

sample28.0ms

Algorithm
intervals
Results
12.0ms338×body80valid

simplify694.0ms

Counts
1 → 1

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 7.9b

localize12.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ x (* y (- z x)))
0.0b
(* y (- z x))
7.3b
(/ (+ x (* y (- z x))) z)

rewrite78.0ms

Algorithm
rewrite-expression-head
Rules
17×add-sqr-sqrt
15×*-un-lft-identity
13×add-cube-cbrt
9×times-frac
7×add-exp-log add-cbrt-cube
5×pow1 associate-*r* add-log-exp
4×distribute-rgt-in sub-neg associate-+r+ distribute-lft-in
3×associate-*l* associate-/r* associate-/l*
2×flip3-+ associate-*r/ flip-+ associate-/l/
1×cbrt-undiv +-commutative flip3-- frac-2neg div-exp pow-prod-down prod-exp clear-num sum-log *-commutative flip-- cbrt-unprod div-inv distribute-lft-out-- difference-of-squares unswap-sqr
Counts
3 → 70
Calls
3 calls:
12.0ms
(+ x (* y (- z x)))
37.0ms
(* y (- z x))
26.0ms
(/ (+ x (* y (- z x))) z)

series179.0ms

Counts
3 → 9
Calls
3 calls:
46.0ms
(+ x (* y (- z x)))
59.0ms
(* y (- z x))
74.0ms
(/ (+ x (* y (- z x))) z)

simplify1.6s

Counts
79 → 79

prune220.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 2.3b

localize10.0ms

Local error

Found 2 expressions with local error:

0.0b
(- (+ (/ x z) y) (/ (* x y) z))
6.1b
(/ (* x y) z)

rewrite133.0ms

Algorithm
rewrite-expression-head
Rules
9×*-un-lft-identity
7×add-exp-log add-cbrt-cube add-log-exp
6×add-sqr-sqrt
4×add-cube-cbrt
3×times-frac associate-/r*
2×pow1 cbrt-undiv diff-log div-exp frac-sub distribute-lft-out--
1×sub-neg flip3-- frac-2neg flip3-+ prod-exp associate--l+ clear-num sum-log flip-- cbrt-unprod flip-+ div-inv distribute-lft-out associate-/l* difference-of-squares
Counts
2 → 40
Calls
2 calls:
118.0ms
(- (+ (/ x z) y) (/ (* x y) z))
14.0ms
(/ (* x y) z)

series57.0ms

Counts
2 → 6
Calls
2 calls:
34.0ms
(- (+ (/ x z) y) (/ (* x y) z))
22.0ms
(/ (* x y) z)

simplify390.0ms

Counts
46 → 46

prune116.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize10.0ms

Local error

Found 2 expressions with local error:

0.0b
(- (+ (/ x z) y) (* (/ x z) y))
3.5b
(* (/ x z) y)

rewrite174.0ms

Algorithm
rewrite-expression-head
Rules
15×add-sqr-sqrt
13×associate-*l*
10×add-cube-cbrt *-un-lft-identity times-frac
7×add-exp-log add-cbrt-cube add-log-exp
4×pow1
3×associate-*r* associate-*l/
2×diff-log prod-exp frac-sub cbrt-unprod unswap-sqr
1×cbrt-undiv sub-neg flip3-- flip3-+ div-exp pow-prod-down associate--l+ sum-log *-commutative flip-- flip-+ div-inv
Counts
2 → 48
Calls
2 calls:
149.0ms
(- (+ (/ x z) y) (* (/ x z) y))
22.0ms
(* (/ x z) y)

series74.0ms

Counts
2 → 6
Calls
2 calls:
43.0ms
(- (+ (/ x z) y) (* (/ x z) y))
31.0ms
(* (/ x z) y)

simplify506.0ms

Counts
54 → 54

prune142.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize13.0ms

Local error

Found 2 expressions with local error:

0.0b
(- (+ (/ x z) y) (/ x (/ z y)))
5.6b
(/ x (/ z y))

rewrite154.0ms

Algorithm
rewrite-expression-head
Rules
78×times-frac
53×add-sqr-sqrt
49×*-un-lft-identity
44×add-cube-cbrt
13×associate-/r*
7×add-exp-log add-cbrt-cube add-log-exp
5×div-inv
3×cbrt-undiv div-exp associate-/l* difference-of-squares
2×pow1 diff-log frac-sub distribute-lft-out--
1×sub-neg flip3-- frac-2neg flip3-+ associate--l+ clear-num sum-log associate-/r/ flip-- flip-+ distribute-lft-out
Counts
2 → 91
Calls
2 calls:
135.0ms
(- (+ (/ x z) y) (/ x (/ z y)))
15.0ms
(/ x (/ z y))

series57.0ms

Counts
2 → 6
Calls
2 calls:
33.0ms
(- (+ (/ x z) y) (/ x (/ z y)))
24.0ms
(/ x (/ z y))

simplify729.0ms

Counts
97 → 97

prune302.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

regimes60.0ms

Accuracy

-9624.1% (2.9b remaining)

Error of 2.9b against oracle of 0.0b and baseline of 0.0b

bsearch0.0ms

simplify1.6s

end0.0ms

sample958.0ms

Algorithm
intervals
Results
508.0ms10191×body80valid