Details

Time bar (total: 11.2s)

sample25.0ms

Algorithm
intervals
Results
11.0ms359×body80valid

simplify150.0ms

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: 3.2b

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)
0.3b
(/ y (* z 3.0))
7.7b
(/ t (* (* z 3.0) y))

rewrite65.0ms

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:
41.0ms
(+ (- x (/ y (* z 3.0))) (/ t (* (* z 3.0) y)))
7.0ms
(* (* z 3.0) y)
3.0ms
(/ y (* z 3.0))
10.0ms
(/ t (* (* z 3.0) y))

series156.0ms

Counts
4 → 12
Calls
4 calls:
81.0ms
(+ (- x (/ y (* z 3.0))) (/ t (* (* z 3.0) y)))
21.0ms
(* (* z 3.0) y)
20.0ms
(/ y (* z 3.0))
34.0ms
(/ t (* (* z 3.0) y))

simplify980.0ms

Counts
127 → 127
Iterations

Useful iterations: 2 (344.0ms)

IterNodesCost
01841873
15011735
221471473
done50011473

prune369.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.0b

localize13.0ms

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))
4.5b
(/ (/ t (* z 3.0)) y)

rewrite65.0ms

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
(/ t (* z 3.0))
3.0ms
(/ y (* z 3.0))
6.0ms
(/ (/ t (* z 3.0)) y)

series157.0ms

Counts
4 → 12
Calls
4 calls:
82.0ms
(+ (- x (/ y (* z 3.0))) (/ (/ t (* z 3.0)) y))
20.0ms
(/ t (* z 3.0))
20.0ms
(/ y (* z 3.0))
35.0ms
(/ (/ t (* z 3.0)) y)

simplify918.0ms

Counts
155 → 155
Iterations

Useful iterations: 2 (366.0ms)

IterNodesCost
02302245
15792093
219471829
done50001829

prune464.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b
(- x (/ y (* z 3.0)))
0.2b
(/ (/ t z) 3.0)
0.3b
(/ y (* z 3.0))
4.5b
(/ (/ (/ t z) 3.0) y)

rewrite56.0ms

Algorithm
rewrite-expression-head
Rules
480×times-frac
248×add-sqr-sqrt *-un-lft-identity
246×add-cube-cbrt
59×associate-/l*
26×div-inv
23×add-exp-log add-cbrt-cube
21×prod-diff
11×cbrt-undiv div-exp
7×associate-/r*
6×add-log-exp
4×pow1 expm1-log1p-u log1p-expm1-u
3×frac-2neg fma-neg clear-num
2×associate-/l/
1×sub-neg flip3-- diff-log prod-exp flip-- cbrt-unprod distribute-lft-out-- difference-of-squares
Counts
4 → 329
Calls
4 calls:
10.0ms
(- x (/ y (* z 3.0)))
6.0ms
(/ (/ t z) 3.0)
3.0ms
(/ y (* z 3.0))
17.0ms
(/ (/ (/ t z) 3.0) y)

series111.0ms

Counts
4 → 12
Calls
4 calls:
34.0ms
(- x (/ y (* z 3.0)))
26.0ms
(/ (/ t z) 3.0)
20.0ms
(/ y (* z 3.0))
31.0ms
(/ (/ (/ t z) 3.0) y)

simplify1.9s

Counts
341 → 341
Iterations

Useful iterations: 2 (1.3s)

IterNodesCost
05735581
113385090
241724759
done50014759

prune1.2s

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b
(fma 1 x (/ (- (/ y 3.0)) z))
0.2b
(/ (- (/ y 3.0)) z)
0.2b
(/ (/ t z) 3.0)
4.5b
(/ (/ (/ t z) 3.0) y)

rewrite69.0ms

Algorithm
rewrite-expression-head
Rules
630×times-frac
321×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
86×associate-/l*
52×distribute-lft-neg-in distribute-rgt-neg-in
31×div-inv
20×add-exp-log add-cbrt-cube
10×cbrt-undiv div-exp
9×associate-/r*
4×pow1 expm1-log1p-u neg-mul-1 log1p-expm1-u add-log-exp
3×frac-2neg clear-num associate-/l/
1×neg-sub0 div-sub distribute-frac-neg fma-udef distribute-neg-frac
Counts
4 → 416
Calls
4 calls:
0.0ms
(fma 1 x (/ (- (/ y 3.0)) z))
13.0ms
(/ (- (/ y 3.0)) z)
6.0ms
(/ (/ t z) 3.0)
17.0ms
(/ (/ (/ t z) 3.0) y)

series124.0ms

Counts
4 → 12
Calls
4 calls:
49.0ms
(fma 1 x (/ (- (/ y 3.0)) z))
22.0ms
(/ (- (/ y 3.0)) z)
20.0ms
(/ (/ t z) 3.0)
32.0ms
(/ (/ (/ t z) 3.0) y)

simplify1.8s

Counts
428 → 428
Iterations

Useful iterations: 2 (1.2s)

IterNodesCost
07246343
116115931
246715787
done50005787

prune1.8s

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0b

regimes116.0ms

Accuracy

0% (1.6b remaining)

Error of 1.6b against oracle of 0.0b and baseline of 1.6b

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01417
12217
done2217

end0.0ms

sample664.0ms

Algorithm
intervals
Results
374.0ms11163×body80valid