Details

Time bar (total: 17.8s)

sample60.0ms

Algorithm
intervals
Results
27.0ms368×body80valid

simplify290.0ms

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: 3.9b

localize17.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (- x (/ y (* z 3.0))) (/ t (* (* z 3.0) y)))
0.3b
(/ y (* z 3.0))
0.4b
(* (* z 3.0) y)
8.9b
(/ t (* (* z 3.0) y))

rewrite179.0ms

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:
127.0ms
(+ (- x (/ y (* z 3.0))) (/ t (* (* z 3.0) y)))
8.0ms
(/ y (* z 3.0))
18.0ms
(* (* z 3.0) y)
22.0ms
(/ t (* (* z 3.0) y))

series240.0ms

Counts
4 → 12
Calls
4 calls:
120.0ms
(+ (- x (/ y (* z 3.0))) (/ t (* (* z 3.0) y)))
28.0ms
(/ y (* z 3.0))
43.0ms
(* (* z 3.0) y)
48.0ms
(/ t (* (* z 3.0) y))

simplify1.7s

Counts
127 → 127
Iterations

Useful iterations: done (1.7s)

IterNodesCost
01841873
14921735
220431473
done50001458

prune525.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 0.0b

localize9.0ms

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))
0.3b
(/ y (* z 3.0))
4.6b
(/ (/ t (* z 3.0)) y)

rewrite212.0ms

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:
168.0ms
(+ (- x (/ y (* z 3.0))) (/ (/ t (* z 3.0)) y))
8.0ms
(/ t (* z 3.0))
13.0ms
(/ y (* z 3.0))
15.0ms
(/ (/ t (* z 3.0)) y)

series171.0ms

Counts
4 → 12
Calls
4 calls:
88.0ms
(+ (- x (/ y (* z 3.0))) (/ (/ t (* z 3.0)) y))
26.0ms
(/ t (* z 3.0))
22.0ms
(/ y (* z 3.0))
35.0ms
(/ (/ t (* z 3.0)) y)

simplify1.7s

Counts
155 → 155
Iterations

Useful iterations: done (1.7s)

IterNodesCost
02302245
15712093
218561829
done50001813

prune751.0ms

Pruning

11 alts after pruning (11 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)
4.6b
(/ (/ t (* z 3.0)) y)

rewrite322.0ms

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:
241.0ms
(+ (- x (/ (/ y z) 3.0)) (/ (/ t (* z 3.0)) y))
14.0ms
(/ t (* z 3.0))
18.0ms
(/ (/ y z) 3.0)
24.0ms
(/ (/ t (* z 3.0)) y)

series201.0ms

Counts
4 → 12
Calls
4 calls:
105.0ms
(+ (- x (/ (/ y z) 3.0)) (/ (/ t (* z 3.0)) y))
27.0ms
(/ t (* z 3.0))
29.0ms
(/ (/ y z) 3.0)
39.0ms
(/ (/ t (* z 3.0)) y)

simplify2.4s

Counts
314 → 314
Iterations

Useful iterations: done (2.4s)

IterNodesCost
04807692
112487216
240985851
done50005572

prune1.7s

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0b

localize15.0ms

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)
4.6b
(/ (/ (/ t z) 3.0) y)

rewrite520.0ms

Algorithm
rewrite-expression-head
Rules
744×times-frac
430×add-sqr-sqrt
428×*-un-lft-identity
421×add-cube-cbrt
131×associate-+l+
129×prod-diff
69×associate-/l*
39×div-inv
23×add-exp-log add-cbrt-cube
12×cbrt-undiv div-exp
9×associate-/r* add-log-exp
7×fma-def
4×pow1 expm1-log1p-u log1p-expm1-u
3×frac-2neg clear-num associate-/l/ difference-of-squares
2×frac-add sum-log distribute-lft-out distribute-lft-out--
1×+-commutative associate-+l- sub-neg flip3-- flip3-+ diff-log flip-- flip-+
Counts
4 → 495
Calls
4 calls:
375.0ms
(+ (- x (/ (/ y z) 3.0)) (/ (/ (/ t z) 3.0) y))
24.0ms
(/ (/ t z) 3.0)
21.0ms
(/ (/ y z) 3.0)
36.0ms
(/ (/ (/ t z) 3.0) y)

series267.0ms

Counts
4 → 12
Calls
4 calls:
118.0ms
(+ (- x (/ (/ y z) 3.0)) (/ (/ (/ t z) 3.0) y))
30.0ms
(/ (/ t z) 3.0)
53.0ms
(/ (/ y z) 3.0)
65.0ms
(/ (/ (/ t z) 3.0) y)

simplify1.4s

Counts
507 → 507
Iterations

Useful iterations: done (1.3s)

IterNodesCost
078711164
1194010438
done50009067

prune3.1s

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0b

regimes265.0ms

Accuracy

80.6% (0.3b remaining)

Error of 0.4b against oracle of 0.0b and baseline of 1.8b

bsearch185.0ms

Steps
ItersRangePoint
10
3.1278119088650713e-24
1.915572174951502e-13
2.8827271628134256e-23
9
-4.450999065334776e+30
-5.341640926403641e+21
-3.964198673573571e+27

simplify4.0ms

Iterations

Useful iterations: 1 (3.0ms)

IterNodesCost
02759
13743
done3743

end0.0ms

sample1.6s

Algorithm
intervals
Results
970.0ms11074×body80valid