Details

Time bar (total: 12.4s)

sample41.0ms

Algorithm
intervals
Results
19.0ms353×body80valid

simplify249.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01115
12415
25415
39215
413715
515015
615915
717615
819715
920615
done20615

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 2.2b

localize21.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (- x (/ y (* z 3.0))) (/ t (* (* z 3.0) y)))
0.2b
(* (* z 3.0) y)
0.2b
(/ y (* z 3.0))
7.0b
(/ t (* (* z 3.0) y))

rewrite227.0ms

Algorithm
rewrite-expression-head
Rules
23×add-exp-log add-cbrt-cube
14×*-un-lft-identity
9×pow1 add-sqr-sqrt add-cube-cbrt add-log-exp
7×prod-exp cbrt-unprod
6×times-frac associate-/l*
5×cbrt-undiv div-exp
3×associate-*r* pow-prod-down
2×associate-+l+ frac-2neg frac-add clear-num associate-/r* sum-log div-inv distribute-lft-out
1×+-commutative associate-+l- sub-neg flip3-- flip3-+ diff-log associate-*l* *-commutative flip-- flip-+ distribute-lft-out--
Counts
4 → 81
Calls
4 calls:
138.0ms
(+ (- x (/ y (* z 3.0))) (/ t (* (* z 3.0) y)))
34.0ms
(* (* z 3.0) y)
16.0ms
(/ y (* z 3.0))
36.0ms
(/ t (* (* z 3.0) y))

series233.0ms

Counts
4 → 12
Calls
4 calls:
130.0ms
(+ (- x (/ y (* z 3.0))) (/ t (* (* z 3.0) y)))
32.0ms
(* (* z 3.0) y)
27.0ms
(/ y (* z 3.0))
43.0ms
(/ t (* (* z 3.0) y))

simplify1.6s

Counts
93 → 93
Iterations

Useful iterations: 2 (307.0ms)

IterNodesCost
01491162
13961101
21730977
done5000977

prune321.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize22.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (- x (/ y (* z 3.0))) (/ (/ t (* z 3.0)) y))
0.2b
(/ t (* z 3.0))
0.2b
(/ y (* z 3.0))
4.2b
(/ (/ t (* z 3.0)) y)

rewrite184.0ms

Algorithm
rewrite-expression-head
Rules
39×times-frac
29×*-un-lft-identity
24×add-sqr-sqrt add-cube-cbrt
23×add-exp-log add-cbrt-cube
13×associate-/l*
9×cbrt-undiv div-exp add-log-exp
7×div-inv
5×associate-/r*
4×pow1
3×frac-2neg prod-exp clear-num cbrt-unprod
2×associate-+l+ frac-add sum-log distribute-lft-out
1×+-commutative associate-+l- sub-neg flip3-- flip3-+ diff-log flip-- flip-+ associate-/l/ distribute-lft-out--
Counts
4 → 109
Calls
4 calls:
111.0ms
(+ (- x (/ y (* z 3.0))) (/ (/ t (* z 3.0)) y))
15.0ms
(/ t (* z 3.0))
25.0ms
(/ y (* z 3.0))
30.0ms
(/ (/ t (* z 3.0)) y)

series213.0ms

Counts
4 → 12
Calls
4 calls:
113.0ms
(+ (- x (/ y (* z 3.0))) (/ (/ t (* z 3.0)) y))
33.0ms
(/ t (* z 3.0))
25.0ms
(/ y (* z 3.0))
42.0ms
(/ (/ t (* z 3.0)) y)

simplify1.3s

Counts
121 → 121
Iterations

Useful iterations: done (1.3s)

IterNodesCost
01951534
14751459
215551333
done50001319

prune415.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (- x (/ (/ y z) 3.0)) (/ (/ t (* z 3.0)) y))
0.2b
(/ t (* z 3.0))
0.2b
(/ (/ y z) 3.0)
4.2b
(/ (/ t (* z 3.0)) y)

rewrite234.0ms

Algorithm
rewrite-expression-head
Rules
111×times-frac
69×*-un-lft-identity
64×add-sqr-sqrt add-cube-cbrt
23×add-exp-log add-cbrt-cube associate-/l*
11×div-inv
10×cbrt-undiv div-exp
9×add-log-exp
7×associate-/r*
4×pow1
3×frac-2neg clear-num
2×associate-+l+ frac-add prod-exp sum-log cbrt-unprod associate-/l/ distribute-lft-out
1×+-commutative associate-+l- sub-neg flip3-- flip3-+ diff-log flip-- flip-+ distribute-lft-out--
Counts
4 → 158
Calls
4 calls:
176.0ms
(+ (- x (/ (/ y z) 3.0)) (/ (/ t (* z 3.0)) y))
14.0ms
(/ t (* z 3.0))
13.0ms
(/ (/ y z) 3.0)
25.0ms
(/ (/ t (* z 3.0)) y)

series230.0ms

Counts
4 → 12
Calls
4 calls:
141.0ms
(+ (- x (/ (/ y z) 3.0)) (/ (/ t (* z 3.0)) y))
32.0ms
(/ t (* z 3.0))
25.0ms
(/ (/ y z) 3.0)
32.0ms
(/ (/ t (* z 3.0)) y)

simplify1.4s

Counts
170 → 170
Iterations

Useful iterations: done (1.4s)

IterNodesCost
03052211
17172088
220881962
done50001948

prune701.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0b

localize24.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (- x (/ (/ y z) 3.0)) (/ (* 0.3333333333333333 (/ t z)) y))
0.2b
(* 0.3333333333333333 (/ t z))
0.2b
(/ (/ y z) 3.0)
4.2b
(/ (* 0.3333333333333333 (/ t z)) y)

rewrite338.0ms

Algorithm
rewrite-expression-head
Rules
88×times-frac
61×add-sqr-sqrt *-un-lft-identity
56×add-cube-cbrt
23×add-exp-log add-cbrt-cube
14×associate-/l*
13×associate-*r*
9×add-log-exp
8×cbrt-undiv div-exp
7×div-inv
6×pow1 associate-/r*
4×prod-exp cbrt-unprod
3×associate-*l*
2×associate-+l+ frac-2neg associate-*r/ frac-add clear-num sum-log associate-/l/ distribute-lft-out unswap-sqr
1×+-commutative associate-+l- sub-neg flip3-- flip3-+ diff-log pow-prod-down *-commutative flip-- flip-+ distribute-lft-out--
Counts
4 → 145
Calls
4 calls:
263.0ms
(+ (- x (/ (/ y z) 3.0)) (/ (* 0.3333333333333333 (/ t z)) y))
25.0ms
(* 0.3333333333333333 (/ t z))
11.0ms
(/ (/ y z) 3.0)
28.0ms
(/ (* 0.3333333333333333 (/ t z)) y)

series261.0ms

Counts
4 → 12
Calls
4 calls:
127.0ms
(+ (- x (/ (/ y z) 3.0)) (/ (* 0.3333333333333333 (/ t z)) y))
37.0ms
(* 0.3333333333333333 (/ t z))
42.0ms
(/ (/ y z) 3.0)
55.0ms
(/ (* 0.3333333333333333 (/ t z)) y)

simplify1.5s

Counts
157 → 157
Iterations

Useful iterations: done (1.5s)

IterNodesCost
02861953
16981830
220521704
done50001690

prune715.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

regimes239.0ms

Accuracy

30.3% (1.3b remaining)

Error of 1.3b against oracle of 0.0b and baseline of 1.9b

bsearch72.0ms

Steps
ItersRangePoint
8
3.1532281181455504e-112
1.5383510854529177e-107
1.0180250941212652e-108

simplify3.0ms

Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
02541
13141
done3141

end0.0ms

sample1.9s

Algorithm
intervals
Results
1.3s11171×body80valid