Details

Time bar (total: 7.8s)

sample16.0ms

Algorithm
intervals
Results
7.0ms300×body80valid

simplify510.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
099
1159
2309
3639
41189
51869
62729
73359
83789
93969
103999
done3999

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize6.0ms

Local error

Found 3 expressions with local error:

0.0b
(- x (/ 16.0 116.0))
0.0b
(* (- x (/ 16.0 116.0)) 3.0)
0.2b
(* (* (- x (/ 16.0 116.0)) 3.0) y)

rewrite66.0ms

Algorithm
rewrite-expression-head
Rules
53×add-sqr-sqrt
45×*-un-lft-identity
41×add-cube-cbrt
39×prod-diff
29×times-frac
10×pow1 add-exp-log add-cbrt-cube
7×associate-*l*
6×associate-*r* associate-*l/
5×add-log-exp
4×pow-prod-down prod-exp cbrt-unprod difference-of-squares
3×expm1-log1p-u flip3-- fma-neg flip-- log1p-expm1-u div-inv
2×*-commutative distribute-lft-out--
1×sub-neg diff-log unswap-sqr
Counts
3 → 106
Calls
3 calls:
8.0ms
(- x (/ 16.0 116.0))
23.0ms
(* (- x (/ 16.0 116.0)) 3.0)
30.0ms
(* (* (- x (/ 16.0 116.0)) 3.0) y)

series107.0ms

Counts
3 → 9
Calls
3 calls:
25.0ms
(- x (/ 16.0 116.0))
41.0ms
(* (- x (/ 16.0 116.0)) 3.0)
40.0ms
(* (* (- x (/ 16.0 116.0)) 3.0) y)

simplify1.1s

Counts
115 → 115
Iterations

Useful iterations: done (1.1s)

IterNodesCost
02172289
15122065
215481532
done50001508

prune191.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b
(- (* 3.0 x) 0.41379310344827586)
0.1b
(* (- (* 3.0 x) 0.41379310344827586) y)

rewrite15.0ms

Algorithm
rewrite-expression-head
Rules
7×add-sqr-sqrt
5×add-cube-cbrt *-un-lft-identity
4×pow1 add-exp-log add-cbrt-cube add-log-exp
3×associate-*r* associate-*l* prod-diff
2×expm1-log1p-u flip3-- associate-*l/ flip-- log1p-expm1-u
1×sub-neg fma-neg diff-log pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
2 → 40
Calls
2 calls:
3.0ms
(- (* 3.0 x) 0.41379310344827586)
11.0ms
(* (- (* 3.0 x) 0.41379310344827586) y)

series80.0ms

Counts
2 → 6
Calls
2 calls:
40.0ms
(- (* 3.0 x) 0.41379310344827586)
40.0ms
(* (- (* 3.0 x) 0.41379310344827586) y)

simplify1.4s

Counts
46 → 46
Iterations

Useful iterations: 3 (380.0ms)

IterNodesCost
078458
1176420
2489367
31898362
done5001362

prune84.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize5.0ms

Local error

Found 2 expressions with local error:

0.1b
(fma x 3.0 (- 0.41379310344827586))
0.1b
(* (fma x 3.0 (- 0.41379310344827586)) y)

rewrite4.0ms

Algorithm
rewrite-expression-head
Rules
6×add-sqr-sqrt
4×pow1 add-exp-log add-cube-cbrt *-un-lft-identity add-cbrt-cube
3×associate-*r* associate-*l*
2×expm1-log1p-u log1p-expm1-u add-log-exp
1×pow-prod-down prod-exp *-commutative cbrt-unprod fma-udef unswap-sqr
Counts
2 → 30
Calls
2 calls:
0.0ms
(fma x 3.0 (- 0.41379310344827586))
3.0ms
(* (fma x 3.0 (- 0.41379310344827586)) y)

series85.0ms

Counts
2 → 6
Calls
2 calls:
39.0ms
(fma x 3.0 (- 0.41379310344827586))
46.0ms
(* (fma x 3.0 (- 0.41379310344827586)) y)

simplify2.5s

Counts
36 → 36
Iterations

Useful iterations: 2 (28.0ms)

IterNodesCost
047319
184316
2254272
3943272
42950272
done5000272

prune75.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(- x (/ 16.0 116.0))
0.3b
(* (- x (/ 16.0 116.0)) (* 3.0 y))

rewrite40.0ms

Algorithm
rewrite-expression-head
Rules
48×add-sqr-sqrt
42×*-un-lft-identity
39×prod-diff
38×add-cube-cbrt
29×times-frac
7×pow1 add-exp-log add-cbrt-cube
6×associate-*l*
4×add-log-exp difference-of-squares
3×fma-neg pow-prod-down prod-exp cbrt-unprod div-inv
2×expm1-log1p-u flip3-- associate-*l/ flip-- log1p-expm1-u distribute-lft-out--
1×sub-neg diff-log associate-*r* *-commutative
Counts
2 → 84
Calls
2 calls:
8.0ms
(- x (/ 16.0 116.0))
28.0ms
(* (- x (/ 16.0 116.0)) (* 3.0 y))

series63.0ms

Counts
2 → 6
Calls
2 calls:
25.0ms
(- x (/ 16.0 116.0))
37.0ms
(* (- x (/ 16.0 116.0)) (* 3.0 y))

simplify853.0ms

Counts
90 → 90
Iterations

Useful iterations: done (850.0ms)

IterNodesCost
01942055
14761836
213761331
done50011307

prune146.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

regimes99.0ms

Accuracy

0% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
077
197
done97

end0.0ms

sample349.0ms

Algorithm
intervals
Results
208.0ms9129×body80valid