Details

Time bar (total: 15.6s)

sample24.0ms

Algorithm
intervals
Results
15.0ms290×body80valid

simplify587.0ms

Counts
1 → 1
Iterations
IterNodes
done455
10455
9454
8438
7393
6337
5254
4168
375
230
115
09

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize12.0ms

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)

rewrite74.0ms

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-cbrt-cube add-exp-log
associate-*l*
associate-*r* associate-*l/
add-log-exp
pow-prod-down prod-exp cbrt-unprod difference-of-squares
expm1-log1p-u flip3-- fma-neg insert-posit16 log1p-expm1-u div-inv flip--
*-commutative distribute-lft-out--
sub-neg diff-log unswap-sqr
Counts
3 → 109
Calls
3 calls:
8.0ms
(- x (/ 16.0 116.0))
23.0ms
(* (- x (/ 16.0 116.0)) 3.0)
41.0ms
(* (* (- x (/ 16.0 116.0)) 3.0) y)

series119.0ms

Counts
3 → 9
Calls
3 calls:
26.0ms
(- x (/ 16.0 116.0))
47.0ms
(* (- x (/ 16.0 116.0)) 3.0)
46.0ms
(* (* (- x (/ 16.0 116.0)) 3.0) y)

simplify3.0s

Counts
118 → 118
Iterations
IterNodes
done5000
34422
21479
1536
0220

prune503.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize24.0ms

Local error

Found 2 expressions with local error:

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

rewrite53.0ms

Algorithm
rewrite-expression-head
Rules
add-sqr-sqrt
*-un-lft-identity add-cube-cbrt
pow1 add-cbrt-cube add-exp-log add-log-exp
associate-*r* associate-*l* prod-diff
expm1-log1p-u flip3-- associate-*l/ insert-posit16 log1p-expm1-u flip--
sub-neg fma-neg diff-log pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
2 → 42
Calls
2 calls:
8.0ms
(- (* 3.0 x) 0.41379310344827586)
44.0ms
(* (- (* 3.0 x) 0.41379310344827586) y)

series123.0ms

Counts
2 → 6
Calls
2 calls:
58.0ms
(- (* 3.0 x) 0.41379310344827586)
64.0ms
(* (- (* 3.0 x) 0.41379310344827586) y)

simplify2.5s

Counts
48 → 48
Iterations
IterNodes
done5002
31722
2486
1188
080

prune157.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize23.0ms

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))

rewrite60.0ms

Algorithm
rewrite-expression-head
Rules
48×add-sqr-sqrt
42×*-un-lft-identity
39×prod-diff
38×add-cube-cbrt
29×times-frac
pow1 add-cbrt-cube add-exp-log
associate-*l*
add-log-exp difference-of-squares
fma-neg pow-prod-down prod-exp cbrt-unprod div-inv
expm1-log1p-u flip3-- associate-*l/ insert-posit16 log1p-expm1-u flip-- distribute-lft-out--
sub-neg diff-log associate-*r* *-commutative
Counts
2 → 86
Calls
2 calls:
7.0ms
(- x (/ 16.0 116.0))
51.0ms
(* (- x (/ 16.0 116.0)) (* 3.0 y))

series86.0ms

Counts
2 → 6
Calls
2 calls:
36.0ms
(- x (/ 16.0 116.0))
50.0ms
(* (- x (/ 16.0 116.0)) (* 3.0 y))

simplify2.7s

Counts
92 → 92
Iterations
IterNodes
done5002
34111
21377
1489
0196

prune348.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

localize33.0ms

Local error

Found 4 expressions with local error:

0.2b
(cbrt (- (* 3.0 x) 0.41379310344827586))
0.2b
(cbrt (- (* 3.0 x) 0.41379310344827586))
0.2b
(cbrt (- (* 3.0 x) 0.41379310344827586))
0.3b
(* (* (cbrt (- (* 3.0 x) 0.41379310344827586)) (cbrt (- (* 3.0 x) 0.41379310344827586))) (* (cbrt (- (* 3.0 x) 0.41379310344827586)) y))

rewrite224.0ms

Algorithm
rewrite-expression-head
Rules
60×cbrt-div
32×associate-*l/
30×flip3-- flip--
28×frac-times
16×pow1 add-exp-log
10×add-cbrt-cube
cbrt-prod
pow-prod-down prod-exp associate-*r/ cbrt-unprod
add-sqr-sqrt *-un-lft-identity add-cube-cbrt
expm1-log1p-u insert-posit16 log1p-expm1-u add-log-exp
pow1/3
associate-*r* associate-*l* *-commutative
Counts
4 → 99
Calls
4 calls:
11.0ms
(cbrt (- (* 3.0 x) 0.41379310344827586))
11.0ms
(cbrt (- (* 3.0 x) 0.41379310344827586))
11.0ms
(cbrt (- (* 3.0 x) 0.41379310344827586))
190.0ms
(* (* (cbrt (- (* 3.0 x) 0.41379310344827586)) (cbrt (- (* 3.0 x) 0.41379310344827586))) (* (cbrt (- (* 3.0 x) 0.41379310344827586)) y))

series634.0ms

Counts
4 → 12
Calls
4 calls:
197.0ms
(cbrt (- (* 3.0 x) 0.41379310344827586))
180.0ms
(cbrt (- (* 3.0 x) 0.41379310344827586))
158.0ms
(cbrt (- (* 3.0 x) 0.41379310344827586))
99.0ms
(* (* (cbrt (- (* 3.0 x) 0.41379310344827586)) (cbrt (- (* 3.0 x) 0.41379310344827586))) (* (cbrt (- (* 3.0 x) 0.41379310344827586)) y))

simplify2.7s

Counts
111 → 111
Iterations
IterNodes
done5000
34619
21431
1515
0183

prune415.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0.0b

regimes124.0ms

Accuracy

0% (0.2b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations
IterNodes
done9
19
07

end0.0ms

sample1.0s

Algorithm
intervals
Results
819.0ms9163×body80valid