Details

Time bar (total: 18.8s)

sample70.0ms

Algorithm
intervals
Results
36.0ms344×body80valid

simplify266.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

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

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 4.0b

localize25.0ms

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))

rewrite218.0ms

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)))
32.0ms
(* (* z 3.0) y)
16.0ms
(/ y (* z 3.0))
39.0ms
(/ t (* (* z 3.0) y))

series245.0ms

Counts
4 → 12
Calls
4 calls:
137.0ms
(+ (- x (/ y (* z 3.0))) (/ t (* (* z 3.0) y)))
39.0ms
(* (* z 3.0) y)
31.0ms
(/ y (* z 3.0))
37.0ms
(/ t (* (* z 3.0) y))

simplify1.6s

Counts
127 → 127
Iterations

Useful iterations: done (1.6s)

IterNodesCost
01841873
14921735
220381473
done50011458

prune643.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

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

rewrite249.0ms

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:
167.0ms
(+ (- x (/ y (* z 3.0))) (/ (/ t (* z 3.0)) y))
16.0ms
(/ t (* z 3.0))
24.0ms
(/ y (* z 3.0))
31.0ms
(/ (/ t (* z 3.0)) y)

series240.0ms

Counts
4 → 12
Calls
4 calls:
127.0ms
(+ (- x (/ y (* z 3.0))) (/ (/ t (* z 3.0)) y))
25.0ms
(/ t (* z 3.0))
37.0ms
(/ y (* z 3.0))
50.0ms
(/ (/ t (* z 3.0)) y)

simplify1.9s

Counts
155 → 155
Iterations

Useful iterations: done (1.9s)

IterNodesCost
02302245
15712093
218561829
done50001813

prune667.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 4 expressions with local error:

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

rewrite370.0ms

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:
282.0ms
(+ (- x (/ (/ y z) 3.0)) (/ (/ t (* z 3.0)) y))
24.0ms
(/ (/ y z) 3.0)
15.0ms
(/ t (* z 3.0))
23.0ms
(/ (/ t (* z 3.0)) y)

series269.0ms

Counts
4 → 12
Calls
4 calls:
143.0ms
(+ (- x (/ (/ y z) 3.0)) (/ (/ t (* z 3.0)) y))
44.0ms
(/ (/ y z) 3.0)
41.0ms
(/ t (* z 3.0))
40.0ms
(/ (/ t (* z 3.0)) y)

simplify2.4s

Counts
314 → 314
Iterations

Useful iterations: done (2.4s)

IterNodesCost
04807692
112487216
241015851
done50005572

prune1.9s

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0b

localize39.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (- x (/ (/ y z) 3.0)) (* (/ t (* z 3.0)) (/ 1 y)))
0.2b
(/ (/ y z) 3.0)
0.2b
(/ t (* z 3.0))
3.1b
(* (/ t (* z 3.0)) (/ 1 y))

rewrite419.0ms

Algorithm
rewrite-expression-head
Rules
293×times-frac
222×add-sqr-sqrt
209×*-un-lft-identity
206×add-cube-cbrt
131×associate-+l+
129×prod-diff
53×add-exp-log
35×add-cbrt-cube
20×div-inv
19×div-exp
17×prod-exp
16×associate-/l*
13×associate-*r*
12×cbrt-undiv
9×cbrt-unprod add-log-exp
8×frac-add
7×fma-def associate-*l*
6×pow1
4×expm1-log1p-u flip3-- associate-/r* flip-- log1p-expm1-u
3×frac-times rec-exp 1-exp associate-*r/ associate-*l/ un-div-inv difference-of-squares unswap-sqr
2×frac-2neg clear-num sum-log
1×+-commutative associate-+l- sub-neg flip3-+ diff-log pow-prod-down *-commutative flip-+ associate-/l/ distribute-lft-out--
Counts
4 → 312
Calls
4 calls:
297.0ms
(+ (- x (/ (/ y z) 3.0)) (* (/ t (* z 3.0)) (/ 1 y)))
24.0ms
(/ (/ y z) 3.0)
8.0ms
(/ t (* z 3.0))
57.0ms
(* (/ t (* z 3.0)) (/ 1 y))

series305.0ms

Counts
4 → 12
Calls
4 calls:
150.0ms
(+ (- x (/ (/ y z) 3.0)) (* (/ t (* z 3.0)) (/ 1 y)))
49.0ms
(/ (/ y z) 3.0)
40.0ms
(/ t (* z 3.0))
66.0ms
(* (/ t (* z 3.0)) (/ 1 y))

simplify3.0s

Counts
324 → 324
Iterations

Useful iterations: done (3.0s)

IterNodesCost
05108434
113757475
247826026
done50005984

prune1.8s

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

regimes171.0ms

Accuracy

0% (1.8b remaining)

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

bsearch0.0ms

simplify5.0ms

Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01417
11917
done1917

end0.0ms

sample2.0s

Algorithm
intervals
Results
1.3s11112×body80valid