Details

Time bar (total: 9.2s)

sample28.0ms

Algorithm
intervals
Results
11.0ms358×body80valid

simplify175.0ms

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

localize9.0ms

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))
6.6b
(/ t (* (* z 3.0) y))

rewrite135.0ms

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:
87.0ms
(+ (- x (/ y (* z 3.0))) (/ t (* (* z 3.0) y)))
17.0ms
(* (* z 3.0) y)
10.0ms
(/ y (* z 3.0))
17.0ms
(/ t (* (* z 3.0) y))

series162.0ms

Counts
4 → 12
Calls
4 calls:
84.0ms
(+ (- x (/ y (* z 3.0))) (/ t (* (* z 3.0) y)))
22.0ms
(* (* z 3.0) y)
21.0ms
(/ y (* z 3.0))
35.0ms
(/ t (* (* z 3.0) y))

simplify963.0ms

Counts
127 → 127
Iterations

Useful iterations: done (960.0ms)

IterNodesCost
01841873
14921735
220381473
done50011458

prune343.0ms

Pruning

7 alts after pruning (7 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
(/ y (* z 3.0))
0.2b
(/ t (* z 3.0))
4.0b
(/ (/ t (* z 3.0)) y)

rewrite129.0ms

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:
90.0ms
(+ (- x (/ y (* z 3.0))) (/ (/ t (* z 3.0)) y))
7.0ms
(/ y (* z 3.0))
7.0ms
(/ t (* z 3.0))
18.0ms
(/ (/ t (* z 3.0)) y)

series167.0ms

Counts
4 → 12
Calls
4 calls:
89.0ms
(+ (- x (/ y (* z 3.0))) (/ (/ t (* z 3.0)) y))
21.0ms
(/ y (* z 3.0))
21.0ms
(/ t (* z 3.0))
36.0ms
(/ (/ t (* z 3.0)) y)

simplify1.2s

Counts
155 → 155
Iterations

Useful iterations: done (1.2s)

IterNodesCost
02302245
15712093
218411829
done50011813

prune476.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize11.0ms

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))
4.1b
(* (/ t (* z 3.0)) (/ 1 y))

rewrite136.0ms

Algorithm
rewrite-expression-head
Rules
53×add-exp-log
40×add-sqr-sqrt
35×add-cbrt-cube
34×*-un-lft-identity
31×add-cube-cbrt
29×times-frac
23×associate-+l+
21×prod-diff
18×div-exp prod-exp
13×associate-*r*
11×cbrt-undiv
10×cbrt-unprod
9×add-log-exp
8×frac-add
7×associate-*l* div-inv
6×pow1 associate-/l*
5×fma-def
4×expm1-log1p-u flip3-- flip-- log1p-expm1-u
3×frac-times rec-exp 1-exp associate-*r/ associate-*l/ un-div-inv unswap-sqr
2×frac-2neg clear-num associate-/r* sum-log
1×+-commutative associate-+l- sub-neg flip3-+ diff-log pow-prod-down *-commutative flip-+ distribute-lft-out-- difference-of-squares
Counts
4 → 153
Calls
4 calls:
77.0ms
(+ (- x (/ y (* z 3.0))) (* (/ t (* z 3.0)) (/ 1 y)))
8.0ms
(/ y (* z 3.0))
8.0ms
(/ t (* z 3.0))
38.0ms
(* (/ t (* z 3.0)) (/ 1 y))

series172.0ms

Counts
4 → 12
Calls
4 calls:
91.0ms
(+ (- x (/ y (* z 3.0))) (* (/ t (* z 3.0)) (/ 1 y)))
21.0ms
(/ y (* z 3.0))
21.0ms
(/ t (* z 3.0))
39.0ms
(* (/ t (* z 3.0)) (/ 1 y))

simplify1.2s

Counts
165 → 165
Iterations

Useful iterations: done (1.2s)

IterNodesCost
02612771
17002350
225202004
done50001989

prune468.0ms

Pruning

5 alts after pruning (5 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))) (* (* 0.3333333333333333 (/ t z)) (/ 1 y)))
0.2b
(* 0.3333333333333333 (/ t z))
0.2b
(/ y (* z 3.0))
4.1b
(* (* 0.3333333333333333 (/ t z)) (/ 1 y))

rewrite139.0ms

Algorithm
rewrite-expression-head
Rules
53×add-exp-log
42×add-sqr-sqrt
37×*-un-lft-identity
35×add-cube-cbrt add-cbrt-cube
31×times-frac
26×associate-*r*
23×associate-+l+ prod-exp
21×prod-diff
13×div-exp cbrt-unprod
11×pow1
10×associate-*r/
9×add-log-exp
8×cbrt-undiv frac-add
6×div-inv
5×fma-def
4×expm1-log1p-u flip3-- associate-*l* pow-prod-down flip-- log1p-expm1-u
3×frac-times rec-exp 1-exp associate-*l/ un-div-inv associate-/l*
2×sum-log *-commutative unswap-sqr
1×+-commutative associate-+l- sub-neg frac-2neg flip3-+ diff-log clear-num associate-/r* flip-+ distribute-lft-out-- difference-of-squares
Counts
4 → 156
Calls
4 calls:
77.0ms
(+ (- x (/ y (* z 3.0))) (* (* 0.3333333333333333 (/ t z)) (/ 1 y)))
16.0ms
(* 0.3333333333333333 (/ t z))
8.0ms
(/ y (* z 3.0))
33.0ms
(* (* 0.3333333333333333 (/ t z)) (/ 1 y))

series167.0ms

Counts
4 → 12
Calls
4 calls:
88.0ms
(+ (- x (/ y (* z 3.0))) (* (* 0.3333333333333333 (/ t z)) (/ 1 y)))
21.0ms
(* 0.3333333333333333 (/ t z))
25.0ms
(/ y (* z 3.0))
32.0ms
(* (* 0.3333333333333333 (/ t z)) (/ 1 y))

simplify1.6s

Counts
168 → 168
Iterations

Useful iterations: done (1.5s)

IterNodesCost
02832744
17502313
225891964
done50001949

prune506.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

regimes205.0ms

Accuracy

76.8% (0.4b remaining)

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

bsearch1.0ms

simplify4.0ms

Iterations

Useful iterations: 1 (2.0ms)

IterNodesCost
02757
13644
done3644

end0.0ms

sample761.0ms

Algorithm
intervals
Results
368.0ms11116×body80valid