Details

Time bar (total: 8.9s)

sample31.0ms

Algorithm
intervals
Results
15.0ms379×body80valid

simplify165.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01115
12415
25315
38715
413315
517915
619215
720915
823415
925215
done25215

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 3.8b

localize10.0ms

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))
0.4b
(* (* z 3.0) y)
6.4b
(/ t (* (* z 3.0) y))

rewrite61.0ms

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:
40.0ms
(+ (- x (/ y (* z 3.0))) (/ t (* (* z 3.0) y)))
3.0ms
(/ y (* z 3.0))
7.0ms
(* (* z 3.0) y)
7.0ms
(/ t (* (* z 3.0) y))

series161.0ms

Counts
4 → 12
Calls
4 calls:
83.0ms
(+ (- x (/ y (* z 3.0))) (/ t (* (* z 3.0) y)))
24.0ms
(/ y (* z 3.0))
22.0ms
(* (* z 3.0) y)
31.0ms
(/ t (* (* z 3.0) y))

simplify900.0ms

Counts
127 → 127
Iterations

Useful iterations: 2 (326.0ms)

IterNodesCost
01841873
15011735
221441473
done50001473

prune355.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize10.0ms

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))
4.3b
(/ (/ t (* z 3.0)) y)

rewrite64.0ms

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:
47.0ms
(+ (- x (/ y (* z 3.0))) (/ (/ t (* z 3.0)) y))
3.0ms
(/ y (* z 3.0))
3.0ms
(/ t (* z 3.0))
6.0ms
(/ (/ t (* z 3.0)) y)

series163.0ms

Counts
4 → 12
Calls
4 calls:
84.0ms
(+ (- x (/ y (* z 3.0))) (/ (/ t (* z 3.0)) y))
21.0ms
(/ y (* z 3.0))
25.0ms
(/ t (* z 3.0))
32.0ms
(/ (/ t (* z 3.0)) y)

simplify815.0ms

Counts
155 → 155
Iterations

Useful iterations: 2 (353.0ms)

IterNodesCost
02302245
15792093
219451829
done50001829

prune459.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.2b
(/ (* z 3.0) y)
0.2b
(/ t (* z 3.0))
0.3b
(/ 1 (/ (* z 3.0) y))
4.3b
(/ (/ t (* z 3.0)) y)

rewrite27.0ms

Algorithm
rewrite-expression-head
Rules
72×times-frac
44×add-exp-log
40×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
32×add-cbrt-cube
21×div-exp
14×cbrt-undiv associate-/r* associate-/l*
12×div-inv
6×prod-exp
5×pow1
4×expm1-log1p-u frac-2neg clear-num cbrt-unprod log1p-expm1-u add-log-exp
3×rec-exp 1-exp
1×pow-flip associate-/r/ associate-/l/ inv-pow
Counts
4 → 154
Calls
4 calls:
3.0ms
(/ (* z 3.0) y)
3.0ms
(/ t (* z 3.0))
6.0ms
(/ 1 (/ (* z 3.0) y))
6.0ms
(/ (/ t (* z 3.0)) y)

series89.0ms

Counts
4 → 12
Calls
4 calls:
20.0ms
(/ (* z 3.0) y)
20.0ms
(/ t (* z 3.0))
17.0ms
(/ 1 (/ (* z 3.0) y))
31.0ms
(/ (/ t (* z 3.0)) y)

simplify712.0ms

Counts
166 → 166
Iterations

Useful iterations: 2 (306.0ms)

IterNodesCost
02301745
15291593
216081383
done50001383

prune395.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize11.0ms

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)
0.4b
(* (* z 3.0) y)
6.4b
(/ t (* (* z 3.0) y))

rewrite183.0ms

Algorithm
rewrite-expression-head
Rules
279×times-frac
207×add-sqr-sqrt
205×*-un-lft-identity
198×add-cube-cbrt
131×associate-+l+
129×prod-diff
23×add-exp-log add-cbrt-cube
18×div-inv
16×associate-/l*
9×pow1 add-log-exp
7×fma-def
6×cbrt-undiv div-exp prod-exp cbrt-unprod
4×expm1-log1p-u associate-/r* log1p-expm1-u
3×associate-*r* pow-prod-down difference-of-squares
2×frac-2neg frac-add clear-num sum-log distribute-lft-out distribute-lft-out--
1×+-commutative associate-+l- sub-neg flip3-- flip3-+ diff-log associate-*l* *-commutative flip-- flip-+ associate-/l/
Counts
4 → 274
Calls
4 calls:
142.0ms
(+ (- x (/ (/ y z) 3.0)) (/ t (* (* z 3.0) y)))
5.0ms
(/ (/ y z) 3.0)
6.0ms
(* (* z 3.0) y)
7.0ms
(/ t (* (* z 3.0) y))

series166.0ms

Counts
4 → 12
Calls
4 calls:
81.0ms
(+ (- x (/ (/ y z) 3.0)) (/ t (* (* z 3.0) y)))
29.0ms
(/ (/ y z) 3.0)
22.0ms
(* (* z 3.0) y)
33.0ms
(/ t (* (* z 3.0) y))

simplify1.9s

Counts
286 → 286
Iterations

Useful iterations: 2 (960.0ms)

IterNodesCost
04337320
112026860
244315495
done50005495

prune1.4s

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

regimes124.0ms

Accuracy

0% (1.7b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01317
11717
done1717

end0.0ms

sample664.0ms

Algorithm
intervals
Results
373.0ms11144×body80valid