Details

Time bar (total: 6.3s)

sample26.0ms

Algorithm
intervals
Results
10.0ms358×body80valid

simplify55.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0247
1547
2927
31427
41927
52387
62557
72867
83307
94277
104557
115187
125957
138037
148077
158077
done8077

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 2.8b

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (- x (/ y (* z 3.0))) (/ t (* (* z 3.0) y)))
0.2b
(* (* z 3.0) y)
0.3b
(/ y (* z 3.0))
6.3b
(/ t (* (* z 3.0) y))

rewrite130.0ms

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
pow1 add-log-exp
prod-exp cbrt-unprod
associate-/l*
cbrt-undiv fma-def div-exp div-inv
expm1-log1p-u log1p-expm1-u
associate-*r* pow-prod-down
frac-2neg frac-add clear-num associate-/r* sum-log distribute-lft-out distribute-lft-out--
+-commutative associate-+l- sub-neg flip3-- flip3-+ diff-log associate-*l* *-commutative flip-- flip-+ difference-of-squares
Counts
4 → 115
Calls
4 calls:
83.0ms
(+ (- x (/ y (* z 3.0))) (/ t (* (* z 3.0) y)))
16.0ms
(* (* z 3.0) y)
10.0ms
(/ y (* z 3.0))
16.0ms
(/ t (* (* z 3.0) y))

series156.0ms

Counts
4 → 12
Calls
4 calls:
80.0ms
(+ (- x (/ y (* z 3.0))) (/ t (* (* z 3.0) y)))
20.0ms
(* (* z 3.0) y)
20.0ms
(/ y (* z 3.0))
35.0ms
(/ t (* (* z 3.0) y))

simplify70.0ms

Counts
127 → 127
Iterations

Useful iterations: 2 (61.0ms)

IterNodesCost
0500905
12477746
25001698
done5001698

prune360.0ms

Pruning

8 alts after pruning (8 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
(/ t (* z 3.0))
0.3b
(/ y (* z 3.0))
4.1b
(/ (/ t (* z 3.0)) y)

rewrite126.0ms

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
cbrt-undiv div-exp add-log-exp
fma-def associate-/r*
pow1 expm1-log1p-u log1p-expm1-u
frac-2neg prod-exp clear-num cbrt-unprod
frac-add sum-log distribute-lft-out distribute-lft-out--
+-commutative associate-+l- sub-neg flip3-- flip3-+ diff-log flip-- flip-+ associate-/l/ difference-of-squares
Counts
4 → 143
Calls
4 calls:
88.0ms
(+ (- x (/ y (* z 3.0))) (/ (/ t (* z 3.0)) y))
7.0ms
(/ t (* z 3.0))
7.0ms
(/ y (* z 3.0))
18.0ms
(/ (/ t (* z 3.0)) y)

series162.0ms

Counts
4 → 12
Calls
4 calls:
86.0ms
(+ (- x (/ y (* z 3.0))) (/ (/ t (* z 3.0)) y))
21.0ms
(/ t (* z 3.0))
20.0ms
(/ y (* z 3.0))
35.0ms
(/ (/ t (* z 3.0)) y)

simplify66.0ms

Counts
155 → 155
Iterations

Useful iterations: 2 (55.0ms)

IterNodesCost
05771093
12337935
25001887
done5001887

prune430.0ms

Pruning

7 alts after pruning (7 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))
4.1b
(/ (/ t (* z 3.0)) y)

rewrite236.0ms

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
add-log-exp
fma-def associate-/r*
pow1 expm1-log1p-u log1p-expm1-u
frac-2neg clear-num difference-of-squares
frac-add prod-exp sum-log cbrt-unprod associate-/l/ distribute-lft-out distribute-lft-out--
+-commutative associate-+l- sub-neg flip3-- flip3-+ diff-log flip-- flip-+
Counts
4 → 302
Calls
4 calls:
185.0ms
(+ (- x (/ (/ y z) 3.0)) (/ (/ t (* z 3.0)) y))
10.0ms
(/ (/ y z) 3.0)
7.0ms
(/ t (* z 3.0))
14.0ms
(/ (/ t (* z 3.0)) y)

series161.0ms

Counts
4 → 12
Calls
4 calls:
81.0ms
(+ (- x (/ (/ y z) 3.0)) (/ (/ t (* z 3.0)) y))
27.0ms
(/ (/ y z) 3.0)
20.0ms
(/ t (* z 3.0))
32.0ms
(/ (/ t (* z 3.0)) y)

simplify69.0ms

Counts
314 → 314
Iterations

Useful iterations: 1 (31.0ms)

IterNodesCost
012894253
150013918
done50013918

prune1.4s

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0b

localize20.0ms

Local error

Found 4 expressions with local error:

0.2b
(/ t (* z 3.0))
0.3b
(/ (/ 1 z) 3.0)
1.0b
(+ (+ (/ (/ t (* z 3.0)) y) (- (/ (/ y z) 3.0))) (/ (/ y z) 3.0))
4.1b
(/ (/ t (* z 3.0)) y)

rewrite1.0s

Algorithm
rewrite-expression-head
Rules
116×times-frac
87×*-un-lft-identity
65×add-sqr-sqrt add-cube-cbrt
27×add-exp-log
23×add-cbrt-cube associate-/l*
13×div-exp
12×add-log-exp
11×div-inv
10×cbrt-undiv distribute-lft-out
associate-/r*
fma-def
sum-log
pow1 expm1-log1p-u distribute-rgt-neg-in frac-add log1p-expm1-u
associate-+l- frac-2neg clear-num
flip3-+ prod-exp cbrt-unprod flip-+ associate-/l/
+-commutative neg-sub0 associate-+r- rec-exp associate-+l+ 1-exp unsub-neg neg-log distribute-neg-frac
Counts
4 → 179
Calls
4 calls:
7.0ms
(/ t (* z 3.0))
11.0ms
(/ (/ 1 z) 3.0)
977.0ms
(+ (+ (/ (/ t (* z 3.0)) y) (- (/ (/ y z) 3.0))) (/ (/ y z) 3.0))
17.0ms
(/ (/ t (* z 3.0)) y)

series113.0ms

Counts
4 → 12
Calls
4 calls:
25.0ms
(/ t (* z 3.0))
19.0ms
(/ (/ 1 z) 3.0)
33.0ms
(+ (+ (/ (/ t (* z 3.0)) y) (- (/ (/ y z) 3.0))) (/ (/ y z) 3.0))
35.0ms
(/ (/ t (* z 3.0)) y)

simplify79.0ms

Counts
191 → 191
Iterations

Useful iterations: 2 (66.0ms)

IterNodesCost
07871243
130281009
25001964
done5001964

prune627.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0b

regimes148.0ms

Accuracy

71.8% (0.5b remaining)

Error of 0.6b against oracle of 0.0b and baseline of 1.9b

bsearch100.0ms

Steps
ItersRangePoint
6
1.5420112390516423e-74
2.2221978925609696e-73
1.3743927570433301e-73
8
-2.392281947342306e+50
-1.4413722926095007e+46
-2.217051937980128e+48

simplify2.0ms

Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
04222
14222
done4222

end0.0ms

sample735.0ms

Algorithm
intervals
Results
356.0ms11110×body80valid