Details

Time bar (total: 18.6s)

sample57.0ms

Algorithm
intervals
Results
33.0ms353×body80valid

simplify227.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

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

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 2.2b

localize19.0ms

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))

rewrite237.0ms

Algorithm
rewrite-expression-head
Rules
30×*-un-lft-identity
25×add-sqr-sqrt
23×add-exp-log add-cube-cbrt associate-+l+ add-cbrt-cube
21×prod-diff
15×times-frac
9×pow1 add-log-exp
7×prod-exp cbrt-unprod
6×associate-/l*
5×cbrt-undiv fma-def div-exp div-inv
4×expm1-log1p-u log1p-expm1-u
3×associate-*r* pow-prod-down
2×frac-2neg frac-add clear-num associate-/r* sum-log distribute-lft-out distribute-lft-out--
1×+-commutative associate-+l- sub-neg flip3-- flip3-+ diff-log associate-*l* *-commutative flip-- flip-+ difference-of-squares
Counts
4 → 115
Calls
4 calls:
161.0ms
(+ (- x (/ y (* z 3.0))) (/ t (* (* z 3.0) y)))
32.0ms
(* (* z 3.0) y)
16.0ms
(/ y (* z 3.0))
20.0ms
(/ t (* (* z 3.0) y))

series277.0ms

Counts
4 → 12
Calls
4 calls:
136.0ms
(+ (- x (/ y (* z 3.0))) (/ t (* (* z 3.0) y)))
42.0ms
(* (* z 3.0) y)
34.0ms
(/ y (* z 3.0))
65.0ms
(/ t (* (* z 3.0) y))

simplify1.7s

Counts
127 → 127
Iterations

Useful iterations: done (1.7s)

IterNodesCost
01841873
14921735
220381473
done50011458

prune602.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize12.0ms

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)

rewrite171.0ms

Algorithm
rewrite-expression-head
Rules
48×times-frac
45×*-un-lft-identity
40×add-sqr-sqrt
38×add-cube-cbrt
23×add-exp-log associate-+l+ add-cbrt-cube
21×prod-diff
13×associate-/l*
10×div-inv
9×cbrt-undiv div-exp add-log-exp
5×fma-def associate-/r*
4×pow1 expm1-log1p-u log1p-expm1-u
3×frac-2neg prod-exp clear-num cbrt-unprod
2×frac-add sum-log distribute-lft-out distribute-lft-out--
1×+-commutative associate-+l- sub-neg flip3-- flip3-+ diff-log flip-- flip-+ associate-/l/ difference-of-squares
Counts
4 → 143
Calls
4 calls:
114.0ms
(+ (- x (/ y (* z 3.0))) (/ (/ t (* z 3.0)) y))
8.0ms
(/ t (* z 3.0))
15.0ms
(/ y (* z 3.0))
25.0ms
(/ (/ t (* z 3.0)) y)

series269.0ms

Counts
4 → 12
Calls
4 calls:
132.0ms
(+ (- x (/ y (* z 3.0))) (/ (/ t (* z 3.0)) y))
36.0ms
(/ t (* z 3.0))
44.0ms
(/ y (* z 3.0))
57.0ms
(/ (/ t (* z 3.0)) y)

simplify1.8s

Counts
155 → 155
Iterations

Useful iterations: done (1.8s)

IterNodesCost
02302245
15712093
218561829
done50001813

prune778.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0b

localize28.0ms

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)

rewrite397.0ms

Algorithm
rewrite-expression-head
Rules
312×times-frac
222×add-sqr-sqrt
220×*-un-lft-identity
213×add-cube-cbrt
131×associate-+l+
129×prod-diff
23×add-exp-log add-cbrt-cube div-inv associate-/l*
10×cbrt-undiv div-exp
9×add-log-exp
7×fma-def associate-/r*
4×pow1 expm1-log1p-u log1p-expm1-u
3×frac-2neg clear-num difference-of-squares
2×frac-add prod-exp sum-log cbrt-unprod associate-/l/ distribute-lft-out distribute-lft-out--
1×+-commutative associate-+l- sub-neg flip3-- flip3-+ diff-log flip-- flip-+
Counts
4 → 302
Calls
4 calls:
267.0ms
(+ (- x (/ (/ y z) 3.0)) (/ (/ t (* z 3.0)) y))
19.0ms
(/ t (* z 3.0))
27.0ms
(/ (/ y z) 3.0)
48.0ms
(/ (/ t (* z 3.0)) y)

series280.0ms

Counts
4 → 12
Calls
4 calls:
129.0ms
(+ (- x (/ (/ y z) 3.0)) (/ (/ t (* z 3.0)) y))
36.0ms
(/ t (* z 3.0))
52.0ms
(/ (/ y z) 3.0)
63.0ms
(/ (/ t (* z 3.0)) y)

simplify3.0s

Counts
314 → 314
Iterations

Useful iterations: done (3.0s)

IterNodesCost
04807692
112487216
240985851
done50005572

prune2.0s

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0b

localize15.0ms

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)

rewrite382.0ms

Algorithm
rewrite-expression-head
Rules
289×times-frac
219×add-sqr-sqrt
212×*-un-lft-identity
205×add-cube-cbrt
131×associate-+l+
129×prod-diff
23×add-exp-log add-cbrt-cube
19×div-inv
14×associate-/l*
13×associate-*r*
9×add-log-exp
8×cbrt-undiv div-exp
7×fma-def
6×pow1 associate-/r*
4×expm1-log1p-u prod-exp cbrt-unprod log1p-expm1-u
3×associate-*l* difference-of-squares
2×frac-2neg associate-*r/ frac-add clear-num sum-log associate-/l/ distribute-lft-out distribute-lft-out-- unswap-sqr
1×+-commutative associate-+l- sub-neg flip3-- flip3-+ diff-log pow-prod-down *-commutative flip-- flip-+
Counts
4 → 289
Calls
4 calls:
280.0ms
(+ (- x (/ (/ y z) 3.0)) (/ (* 0.3333333333333333 (/ t z)) y))
28.0ms
(* 0.3333333333333333 (/ t z))
13.0ms
(/ (/ y z) 3.0)
20.0ms
(/ (* 0.3333333333333333 (/ t z)) y)

series236.0ms

Counts
4 → 12
Calls
4 calls:
110.0ms
(+ (- x (/ (/ y z) 3.0)) (/ (* 0.3333333333333333 (/ t z)) y))
30.0ms
(* 0.3333333333333333 (/ t z))
44.0ms
(/ (/ y z) 3.0)
53.0ms
(/ (* 0.3333333333333333 (/ t z)) y)

simplify2.3s

Counts
301 → 301
Iterations

Useful iterations: done (2.3s)

IterNodesCost
04617434
112296958
240855578
done50005447

prune1.9s

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

regimes223.0ms

Accuracy

30.3% (1.3b remaining)

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

bsearch98.0ms

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

simplify6.0ms

Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
02541
13141
done3141

end0.0ms

sample1.5s

Algorithm
intervals
Results
893.0ms11171×body80valid