Details

Time bar (total: 16.9s)

sample51.0ms

Algorithm
intervals
Results
23.0ms344×body80valid

simplify307.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

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

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 4.0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (- x (/ y (* z 3.0))) (/ t (* (* z 3.0) y)))
0.2b
(* (* z 3.0) y)
0.2b
(/ y (* z 3.0))
6.9b
(/ t (* (* z 3.0) y))

rewrite231.0ms

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:
146.0ms
(+ (- x (/ y (* z 3.0))) (/ t (* (* z 3.0) y)))
36.0ms
(* (* z 3.0) y)
17.0ms
(/ y (* z 3.0))
24.0ms
(/ t (* (* z 3.0) y))

series262.0ms

Counts
4 → 12
Calls
4 calls:
131.0ms
(+ (- x (/ y (* z 3.0))) (/ t (* (* z 3.0) y)))
24.0ms
(* (* z 3.0) y)
42.0ms
(/ y (* z 3.0))
65.0ms
(/ t (* (* z 3.0) y))

simplify1.4s

Counts
127 → 127
Iterations

Useful iterations: done (1.4s)

IterNodesCost
01841873
14921735
220381473
done50011458

prune578.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize20.0ms

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

rewrite190.0ms

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:
133.0ms
(+ (- x (/ y (* z 3.0))) (/ (/ t (* z 3.0)) y))
15.0ms
(/ t (* z 3.0))
15.0ms
(/ y (* z 3.0))
17.0ms
(/ (/ t (* z 3.0)) y)

series221.0ms

Counts
4 → 12
Calls
4 calls:
122.0ms
(+ (- x (/ y (* z 3.0))) (/ (/ t (* z 3.0)) y))
29.0ms
(/ t (* z 3.0))
24.0ms
(/ y (* z 3.0))
46.0ms
(/ (/ t (* z 3.0)) y)

simplify1.7s

Counts
155 → 155
Iterations

Useful iterations: done (1.7s)

IterNodesCost
02302245
15712093
218561829
done50001813

prune686.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize35.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (- x (/ (/ y z) 3.0)) (/ (/ t (* z 3.0)) y))
0.2b
(/ (/ y z) 3.0)
0.2b
(/ t (* z 3.0))
3.0b
(/ (/ 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:
232.0ms
(+ (- x (/ (/ y z) 3.0)) (/ (/ t (* z 3.0)) y))
22.0ms
(/ (/ y z) 3.0)
12.0ms
(/ t (* z 3.0))
24.0ms
(/ (/ t (* z 3.0)) y)

series203.0ms

Counts
4 → 12
Calls
4 calls:
105.0ms
(+ (- x (/ (/ y z) 3.0)) (/ (/ t (* z 3.0)) y))
25.0ms
(/ (/ y z) 3.0)
24.0ms
(/ t (* z 3.0))
49.0ms
(/ (/ t (* z 3.0)) y)

simplify2.4s

Counts
314 → 314
Iterations

Useful iterations: done (2.4s)

IterNodesCost
04807692
112487216
241015851
done50005572

prune1.8s

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0b

localize20.0ms

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

rewrite294.0ms

Algorithm
rewrite-expression-head
Rules
480×times-frac
253×*-un-lft-identity
248×add-sqr-sqrt
246×add-cube-cbrt
59×associate-/l*
26×div-inv
23×add-exp-log associate-+l+ add-cbrt-cube
21×prod-diff
11×cbrt-undiv div-exp
9×add-log-exp
7×associate-/r*
5×fma-def
4×pow1 expm1-log1p-u log1p-expm1-u
3×frac-2neg clear-num
2×frac-add sum-log associate-/l/ distribute-lft-out distribute-lft-out--
1×+-commutative associate-+l- sub-neg flip3-- flip3-+ diff-log prod-exp flip-- cbrt-unprod flip-+ difference-of-squares
Counts
4 → 336
Calls
4 calls:
214.0ms
(+ (- x (/ y (* z 3.0))) (/ (/ (/ t z) 3.0) y))
11.0ms
(/ (/ t z) 3.0)
9.0ms
(/ y (* z 3.0))
33.0ms
(/ (/ (/ t z) 3.0) y)

series247.0ms

Counts
4 → 12
Calls
4 calls:
133.0ms
(+ (- x (/ y (* z 3.0))) (/ (/ (/ t z) 3.0) y))
24.0ms
(/ (/ t z) 3.0)
35.0ms
(/ y (* z 3.0))
55.0ms
(/ (/ (/ t z) 3.0) y)

simplify2.0s

Counts
348 → 348
Iterations

Useful iterations: done (2.0s)

IterNodesCost
05715717
113505315
237805043
done50015028

prune1.7s

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

regimes239.0ms

Accuracy

0% (1.8b remaining)

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

bsearch0.0ms

simplify7.0ms

Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01215
11415
done1415

end0.0ms

sample2.0s

Algorithm
intervals
Results
1.3s11112×body80valid