Details

Time bar (total: 28.7s)

sample42.0ms

Algorithm
intervals
Results
21.0ms317×body80valid

simplify6.3s

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
077
1117
2267
3567
41377
53357
67697
79947
813087
933377
done50007

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 1 expressions with local error:

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

rewrite80.0ms

Algorithm
rewrite-expression-head
Rules
7×add-sqr-sqrt *-un-lft-identity
5×associate-*r*
4×frac-times associate-*l*
3×pow1 add-exp-log add-cube-cbrt flip3-- flip3-+ add-cbrt-cube flip-- flip-+
2×distribute-rgt-in sub-neg distribute-lft-in associate-*r/ associate-*l/
1×pow-prod-down prod-exp *-commutative cbrt-unprod distribute-lft-out distribute-lft-out-- add-log-exp difference-of-squares unswap-sqr
Counts
1 → 33
Calls
1 calls:
78.0ms
(* (+ x y) (- 1.0 z))

series62.0ms

Counts
1 → 3
Calls
1 calls:
62.0ms
(* (+ x y) (- 1.0 z))

simplify2.3s

Counts
36 → 36
Iterations

Useful iterations: done (2.3s)

IterNodesCost
084448
1248433
21119403
done5000401

prune210.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize99.0ms

Local error

Found 2 expressions with local error:

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

rewrite170.0ms

Algorithm
rewrite-expression-head
Rules
10×associate-*r/ associate-*l*
8×add-sqr-sqrt *-un-lft-identity
6×add-cube-cbrt flip3-+ flip-+
4×pow1 add-exp-log associate-*r* frac-add add-cbrt-cube add-log-exp
3×distribute-lft-neg-out distribute-lft-neg-in distribute-rgt-in distribute-rgt-neg-in distribute-lft-in
2×associate-+l+ associate-+r+
1×+-commutative neg-mul-1 distribute-rgt-out unsub-neg pow-prod-down prod-exp sum-log *-commutative cbrt-unprod distribute-lft-out unswap-sqr
Counts
2 → 53
Calls
2 calls:
64.0ms
(+ (* 1.0 (+ x y)) (* (- z) (+ x y)))
83.0ms
(* (- z) (+ x y))

series818.0ms

Counts
2 → 6
Calls
2 calls:
360.0ms
(+ (* 1.0 (+ x y)) (* (- z) (+ x y)))
449.0ms
(* (- z) (+ x y))

simplify4.2s

Counts
59 → 59
Iterations

Useful iterations: done (4.2s)

IterNodesCost
0113790
1405674
22406617
done5001616

prune592.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize19.0ms

Local error

Found 2 expressions with local error:

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

rewrite78.0ms

Algorithm
rewrite-expression-head
Rules
10×distribute-rgt-neg-out
9×add-log-exp
6×flip3-+ flip-+
4×associate-*r/ frac-add sum-log
3×distribute-rgt-out distribute-neg-out unsub-neg
2×pow1 add-exp-log +-commutative add-sqr-sqrt add-cube-cbrt associate-+r- associate-+l+ *-un-lft-identity add-cbrt-cube
1×distribute-rgt-in associate-+r+ distribute-lft-in
Counts
2 → 39
Calls
2 calls:
21.0ms
(+ (* x (- z)) (* y (- z)))
54.0ms
(+ (* 1.0 (+ x y)) (+ (* x (- z)) (* y (- z))))

series449.0ms

Counts
2 → 6
Calls
2 calls:
106.0ms
(+ (* x (- z)) (* y (- z)))
342.0ms
(+ (* 1.0 (+ x y)) (+ (* x (- z)) (* y (- z))))

simplify2.4s

Counts
45 → 45
Iterations

Useful iterations: 2 (418.0ms)

IterNodesCost
095939
1338737
21809599
done5001599

prune443.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize67.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (* 1.0 (+ x y)) (* (- (sqrt z)) (* (sqrt z) (+ x y))))
0.1b
(* (sqrt z) (+ x y))
0.2b
(* (- (sqrt z)) (* (sqrt z) (+ x y)))

rewrite365.0ms

Algorithm
rewrite-expression-head
Rules
22×associate-*l*
18×associate-*r/
15×add-sqr-sqrt
13×*-un-lft-identity
11×add-cube-cbrt
10×pow1 add-exp-log distribute-rgt-in distribute-lft-in sqrt-prod add-cbrt-cube
7×flip3-+ flip-+
6×distribute-lft-neg-in distribute-rgt-neg-in
5×associate-*r* add-log-exp
4×associate-+r+ pow-prod-down frac-add prod-exp cbrt-unprod
3×distribute-lft-neg-out
2×associate-+l+ *-commutative unswap-sqr
1×+-commutative neg-mul-1 unsub-neg sum-log distribute-lft-out
Counts
3 → 88
Calls
3 calls:
62.0ms
(+ (* 1.0 (+ x y)) (* (- (sqrt z)) (* (sqrt z) (+ x y))))
92.0ms
(* (sqrt z) (+ x y))
203.0ms
(* (- (sqrt z)) (* (sqrt z) (+ x y)))

series475.0ms

Counts
3 → 9
Calls
3 calls:
122.0ms
(+ (* 1.0 (+ x y)) (* (- (sqrt z)) (* (sqrt z) (+ x y))))
230.0ms
(* (sqrt z) (+ x y))
122.0ms
(* (- (sqrt z)) (* (sqrt z) (+ x y)))

simplify4.4s

Counts
97 → 97
Iterations

Useful iterations: done (4.4s)

IterNodesCost
01701463
15621369
22908999
done5001983

prune784.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes465.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify15.0ms

Iterations

Useful iterations: 2 (6.0ms)

IterNodesCost
01115
12115
23314
33514
done3514

end0.0ms

sample3.8s

Algorithm
intervals
Results
1.3s10112×body80valid