Details

Time bar (total: 11.5s)

sample42.0ms

Algorithm
intervals
Results
15.0ms331×body80valid

simplify104.0ms

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

localize10.0ms

Local error

Found 1 expressions with local error:

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

rewrite456.0ms

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:
453.0ms
(* (+ x y) (+ z 1.0))

series40.0ms

Counts
1 → 3
Calls
1 calls:
40.0ms
(* (+ x y) (+ z 1.0))

simplify1.2s

Counts
33 → 33
Iterations

Useful iterations: 2 (145.0ms)

IterNodesCost
079415
1265396
21077368
done5000368

prune113.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 2 expressions with local error:

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

rewrite198.0ms

Algorithm
rewrite-expression-head
Rules
42×sqrt-div
33×flip3-+ flip-+
32×frac-times
16×associate-*l/
14×associate-*r*
13×*-un-lft-identity
11×add-sqr-sqrt
10×associate-*r/
9×pow1 add-exp-log sqrt-prod add-cbrt-cube
7×add-cube-cbrt
5×associate-*l*
4×pow-prod-down prod-exp cbrt-unprod
3×distribute-lft-out
2×*-commutative add-log-exp unswap-sqr
Counts
2 → 80
Calls
2 calls:
77.0ms
(* (+ x y) (sqrt (+ z 1.0)))
116.0ms
(* (* (+ x y) (sqrt (+ z 1.0))) (sqrt (+ z 1.0)))

series164.0ms

Counts
2 → 6
Calls
2 calls:
126.0ms
(* (+ x y) (sqrt (+ z 1.0)))
37.0ms
(* (* (+ x y) (sqrt (+ z 1.0))) (sqrt (+ z 1.0)))

simplify1.5s

Counts
86 → 86
Iterations

Useful iterations: done (1.5s)

IterNodesCost
01591804
14221524
212531386
done50011379

prune375.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize56.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (+ x y) (sqrt (+ (pow z 3) (pow 1.0 3))))
2.0b
(/ (* (+ x y) (sqrt (+ (pow z 3) (pow 1.0 3)))) (sqrt (+ (* z z) (- (* 1.0 1.0) (* z 1.0)))))
3.5b
(sqrt (+ (pow z 3) (pow 1.0 3)))
5.9b
(sqrt (+ (* z z) (- (* 1.0 1.0) (* z 1.0))))

rewrite331.0ms

Algorithm
rewrite-expression-head
Rules
35×*-un-lft-identity
28×sqrt-prod
19×add-sqr-sqrt
18×sqrt-div
15×flip3-+ flip-+
13×add-cube-cbrt
12×associate-*r*
11×add-exp-log add-cbrt-cube distribute-lft-out
8×pow1 frac-times unpow-prod-down cube-prod associate-/l/
6×times-frac associate-/r*
4×associate-*r/ associate-*l* associate-*l/ add-log-exp
2×cbrt-undiv rem-sqrt-square sqrt-pow1 pow1/2 div-exp prod-exp associate-/r/ sum-cubes cbrt-unprod unswap-sqr
1×frac-2neg pow-prod-down clear-num *-commutative div-inv associate-/l*
Counts
4 → 110
Calls
4 calls:
107.0ms
(* (+ x y) (sqrt (+ (pow z 3) (pow 1.0 3))))
126.0ms
(/ (* (+ x y) (sqrt (+ (pow z 3) (pow 1.0 3)))) (sqrt (+ (* z z) (- (* 1.0 1.0) (* z 1.0)))))
63.0ms
(sqrt (+ (pow z 3) (pow 1.0 3)))
30.0ms
(sqrt (+ (* z z) (- (* 1.0 1.0) (* z 1.0))))

series656.0ms

Counts
4 → 12
Calls
4 calls:
147.0ms
(* (+ x y) (sqrt (+ (pow z 3) (pow 1.0 3))))
344.0ms
(/ (* (+ x y) (sqrt (+ (pow z 3) (pow 1.0 3)))) (sqrt (+ (* z z) (- (* 1.0 1.0) (* z 1.0)))))
73.0ms
(sqrt (+ (pow z 3) (pow 1.0 3)))
92.0ms
(sqrt (+ (* z z) (- (* 1.0 1.0) (* z 1.0))))

simplify1.5s

Counts
122 → 122
Iterations

Useful iterations: 2 (554.0ms)

IterNodesCost
02242725
15602257
219472093
done50012093

prune763.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

localize18.0ms

Local error

Found 4 expressions with local error:

0.0b
(sqrt (* (+ x y) (+ z 1.0)))
0.0b
(* (+ x y) (+ z 1.0))
0.0b
(* (+ x y) (+ z 1.0))
0.3b
(* (sqrt (* (+ x y) (+ z 1.0))) (sqrt (* (+ x y) (+ z 1.0))))

rewrite286.0ms

Algorithm
rewrite-expression-head
Rules
152×sqrt-div
148×frac-times
126×flip3-+ flip-+
60×pow1
50×associate-*r/ associate-*l/
30×sqrt-pow1
23×pow-prod-down
20×*-un-lft-identity
18×add-sqr-sqrt
12×add-cube-cbrt associate-*r* associate-*l*
11×pow1/2
10×add-exp-log pow-prod-up add-cbrt-cube
6×pow-sqr
5×sqrt-prod
4×swap-sqr distribute-lft-out add-log-exp
3×prod-exp *-commutative cbrt-unprod unswap-sqr
2×distribute-rgt-in distribute-lft-in
1×pow2 pow-plus sqrt-unprod rem-square-sqrt
Counts
4 → 208
Calls
4 calls:
12.0ms
(sqrt (* (+ x y) (+ z 1.0)))
59.0ms
(* (+ x y) (+ z 1.0))
71.0ms
(* (+ x y) (+ z 1.0))
118.0ms
(* (sqrt (* (+ x y) (+ z 1.0))) (sqrt (* (+ x y) (+ z 1.0))))

series435.0ms

Counts
4 → 12
Calls
4 calls:
136.0ms
(sqrt (* (+ x y) (+ z 1.0)))
54.0ms
(* (+ x y) (+ z 1.0))
39.0ms
(* (+ x y) (+ z 1.0))
205.0ms
(* (sqrt (* (+ x y) (+ z 1.0))) (sqrt (* (+ x y) (+ z 1.0))))

simplify1.5s

Counts
220 → 220
Iterations

Useful iterations: done (1.4s)

IterNodesCost
03075819
15715026
219424894
done50004858

prune793.0ms

Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 0b

regimes158.0ms

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
077
1107
done107

end0.0ms

sample857.0ms

Algorithm
intervals
Results
355.0ms10072×body80valid
0.0ms1×body640valid
0.0ms1×body1280valid