Details

Time bar (total: 8.3s)

sample40.0ms

Algorithm
intervals
Results
15.0ms331×body80valid

simplify119.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
077
1167
2427
3827
41107
51227
done1227

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 1 expressions with local error:

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

rewrite71.0ms

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:
69.0ms
(* (+ x y) (+ z 1.0))

series52.0ms

Counts
1 → 3
Calls
1 calls:
51.0ms
(* (+ x y) (+ z 1.0))

simplify1.3s

Counts
33 → 33
Iterations

Useful iterations: 2 (172.0ms)

IterNodesCost
079415
1265396
21077368
done5000368

prune75.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize8.0ms

Local error

Found 2 expressions with local error:

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

rewrite46.0ms

Algorithm
rewrite-expression-head
Rules
10×associate-*l/
6×add-sqr-sqrt *-un-lft-identity flip3-+ flip-+
4×pow1 add-exp-log add-cube-cbrt associate-*l* frac-add add-cbrt-cube add-log-exp
3×associate-*r*
2×distribute-lft-out
1×+-commutative pow-prod-down prod-exp sum-log *-commutative cbrt-unprod unswap-sqr
Counts
2 → 37
Calls
2 calls:
15.0ms
(+ (* (+ x y) z) (* (+ x y) 1.0))
30.0ms
(* (+ x y) z)

series93.0ms

Counts
2 → 6
Calls
2 calls:
63.0ms
(+ (* (+ x y) z) (* (+ x y) 1.0))
30.0ms
(* (+ x y) z)

simplify988.0ms

Counts
43 → 43
Iterations

Useful iterations: done (987.0ms)

IterNodesCost
095631
1283533
21158485
done5001465

prune149.0ms

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

rewrite217.0ms

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:
14.0ms
(sqrt (+ z 1.0))
14.0ms
(sqrt (+ z 1.0))
64.0ms
(* (+ x y) (sqrt (+ z 1.0)))
114.0ms
(* (* (+ x y) (sqrt (+ z 1.0))) (sqrt (+ z 1.0)))

series230.0ms

Counts
4 → 12
Calls
4 calls:
58.0ms
(sqrt (+ z 1.0))
34.0ms
(sqrt (+ z 1.0))
94.0ms
(* (+ x y) (sqrt (+ z 1.0)))
43.0ms
(* (* (+ x y) (sqrt (+ z 1.0))) (sqrt (+ z 1.0)))

simplify1.1s

Counts
124 → 124
Iterations

Useful iterations: done (1.1s)

IterNodesCost
01812160
14761838
213991680
done50001673

prune401.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize23.0ms

Local error

Found 2 expressions with local error:

1.9b
(* (- (* z z) (* 1.0 1.0)) (+ x y))
10.3b
(/ (* (- (* z z) (* 1.0 1.0)) (+ x y)) (- z 1.0))

rewrite107.0ms

Algorithm
rewrite-expression-head
Rules
12×add-sqr-sqrt *-un-lft-identity
9×add-exp-log add-cbrt-cube
8×frac-times associate-/l/
7×flip3-- flip--
6×add-cube-cbrt flip3-+ flip-+
5×times-frac associate-/r*
4×pow1 associate-*r/ associate-*r* associate-*l* associate-*l/
3×difference-of-squares
2×cbrt-undiv div-exp prod-exp associate-/r/ cbrt-unprod distribute-lft-out-- add-log-exp
1×distribute-rgt-in frac-2neg distribute-lft-in pow-prod-down clear-num *-commutative div-inv distribute-lft-out associate-/l* unswap-sqr
Counts
2 → 65
Calls
2 calls:
46.0ms
(* (- (* z z) (* 1.0 1.0)) (+ x y))
59.0ms
(/ (* (- (* z z) (* 1.0 1.0)) (+ x y)) (- z 1.0))

series152.0ms

Counts
2 → 6
Calls
2 calls:
53.0ms
(* (- (* z z) (* 1.0 1.0)) (+ x y))
100.0ms
(/ (* (- (* z z) (* 1.0 1.0)) (+ x y)) (- z 1.0))

simplify1.7s

Counts
71 → 71
Iterations

Useful iterations: done (1.7s)

IterNodesCost
01431360
14601284
221991106
done50011090

prune204.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes79.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0811
11211
done1211

end0.0ms

sample1.1s

Algorithm
intervals
Results
480.0ms10078×body80valid
0.0ms1×body1280valid