Details

Time bar (total: 9.7s)

sample42.0ms

Algorithm
intervals
Results
27.0ms296×body80valid

simplify571.0ms

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

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b
(- x (/ 16.0 116.0))
0.0b
(* (- x (/ 16.0 116.0)) 3.0)
0.1b
(* (* (- x (/ 16.0 116.0)) 3.0) y)

rewrite70.0ms

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
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 insert-posit16 log1p-expm1-u div-inv flip--
2×*-commutative distribute-lft-out--
1×sub-neg diff-log unswap-sqr
Counts
3 → 109
Calls
3 calls:
10.0ms
(- x (/ 16.0 116.0))
22.0ms
(* (- x (/ 16.0 116.0)) 3.0)
36.0ms
(* (* (- x (/ 16.0 116.0)) 3.0) y)

series145.0ms

Counts
3 → 9
Calls
3 calls:
41.0ms
(- x (/ 16.0 116.0))
60.0ms
(* (- x (/ 16.0 116.0)) 3.0)
44.0ms
(* (* (- x (/ 16.0 116.0)) 3.0) y)

simplify772.0ms

Counts
118 → 118
Iterations
IterNodes
done2002
21479
1536
0220

prune476.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize19.0ms

Local error

Found 2 expressions with local error:

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

rewrite55.0ms

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-cbrt-cube add-exp-log
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/ insert-posit16 log1p-expm1-u flip-- distribute-lft-out--
1×sub-neg diff-log associate-*r* *-commutative
Counts
2 → 86
Calls
2 calls:
7.0ms
(- x (/ 16.0 116.0))
46.0ms
(* (- x (/ 16.0 116.0)) (* 3.0 y))

series72.0ms

Counts
2 → 6
Calls
2 calls:
31.0ms
(- x (/ 16.0 116.0))
40.0ms
(* (- x (/ 16.0 116.0)) (* 3.0 y))

simplify860.0ms

Counts
92 → 92
Iterations
IterNodes
done2000
21377
1489
0196

prune308.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize33.0ms

Local error

Found 4 expressions with local error:

0.0b
(- x (/ 16.0 116.0))
0.1b
(* (* (* (- x (/ 16.0 116.0)) (sqrt 3.0)) (sqrt 3.0)) y)
0.2b
(* (- x (/ 16.0 116.0)) (sqrt 3.0))
0.8b
(* (* (- x (/ 16.0 116.0)) (sqrt 3.0)) (sqrt 3.0))

rewrite285.0ms

Algorithm
rewrite-expression-head
Rules
59×add-sqr-sqrt
49×*-un-lft-identity
45×add-cube-cbrt
39×prod-diff
29×times-frac
20×pow1 add-cbrt-cube add-exp-log
15×associate-*r*
12×associate-*l/
10×pow-prod-down prod-exp cbrt-unprod
8×associate-*l*
7×sqrt-prod
6×add-log-exp
4×expm1-log1p-u flip3-- insert-posit16 log1p-expm1-u flip-- difference-of-squares
3×fma-neg *-commutative div-inv
2×distribute-lft-out-- unswap-sqr
1×sub-neg diff-log
Counts
4 → 142
Calls
4 calls:
9.0ms
(- x (/ 16.0 116.0))
177.0ms
(* (* (* (- x (/ 16.0 116.0)) (sqrt 3.0)) (sqrt 3.0)) y)
52.0ms
(* (- x (/ 16.0 116.0)) (sqrt 3.0))
44.0ms
(* (* (- x (/ 16.0 116.0)) (sqrt 3.0)) (sqrt 3.0))

series437.0ms

Counts
4 → 12
Calls
4 calls:
31.0ms
(- x (/ 16.0 116.0))
143.0ms
(* (* (* (- x (/ 16.0 116.0)) (sqrt 3.0)) (sqrt 3.0)) y)
91.0ms
(* (- x (/ 16.0 116.0)) (sqrt 3.0))
171.0ms
(* (* (- x (/ 16.0 116.0)) (sqrt 3.0)) (sqrt 3.0))

simplify944.0ms

Counts
154 → 154
Iterations
IterNodes
done2000
21853
1639
0256

prune598.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

localize28.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (- x (/ 16.0 116.0)) (sqrt 3.0))
0.7b
(* (* (* (- x (/ 16.0 116.0)) (sqrt 3.0)) (* (cbrt (sqrt 3.0)) (cbrt (sqrt 3.0)))) (cbrt (sqrt 3.0)))
0.8b
(* (* (- x (/ 16.0 116.0)) (sqrt 3.0)) (* (cbrt (sqrt 3.0)) (cbrt (sqrt 3.0))))
1.0b
(* (cbrt (sqrt 3.0)) (cbrt (sqrt 3.0)))

rewrite334.0ms

Algorithm
rewrite-expression-head
Rules
53×add-sqr-sqrt
46×cbrt-prod
43×pow1
38×add-exp-log
27×sqrt-prod
25×associate-*r*
24×*-un-lft-identity pow-prod-down
23×add-cbrt-cube prod-exp cbrt-unprod
22×add-cube-cbrt
17×associate-*l*
12×associate-*l/
11×swap-sqr unswap-sqr
6×pow1/3
4×expm1-log1p-u *-commutative insert-posit16 log1p-expm1-u add-log-exp
3×flip3-- flip--
2×pow-sqr pow-prod-up difference-of-squares
1×pow2 times-frac pow-plus distribute-lft-out--
Counts
4 → 154
Calls
4 calls:
24.0ms
(* (- x (/ 16.0 116.0)) (sqrt 3.0))
222.0ms
(* (* (* (- x (/ 16.0 116.0)) (sqrt 3.0)) (* (cbrt (sqrt 3.0)) (cbrt (sqrt 3.0)))) (cbrt (sqrt 3.0)))
75.0ms
(* (* (- x (/ 16.0 116.0)) (sqrt 3.0)) (* (cbrt (sqrt 3.0)) (cbrt (sqrt 3.0))))
10.0ms
(* (cbrt (sqrt 3.0)) (cbrt (sqrt 3.0)))

series996.0ms

Counts
4 → 10
Calls
4 calls:
112.0ms
(* (- x (/ 16.0 116.0)) (sqrt 3.0))
157.0ms
(* (* (* (- x (/ 16.0 116.0)) (sqrt 3.0)) (* (cbrt (sqrt 3.0)) (cbrt (sqrt 3.0)))) (cbrt (sqrt 3.0)))
727.0ms
(* (* (- x (/ 16.0 116.0)) (sqrt 3.0)) (* (cbrt (sqrt 3.0)) (cbrt (sqrt 3.0))))
0.0ms
(* (cbrt (sqrt 3.0)) (cbrt (sqrt 3.0)))

simplify860.0ms

Counts
164 → 164
Iterations
IterNodes
done2001
21530
1439
0180

prune545.0ms

Pruning

6 alts after pruning (2 fresh and 4 done)

Merged error: 0b

regimes259.0ms

Accuracy

0% (0.2b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations
IterNodes
done11
111
09

end0.0ms

sample944.0ms

Algorithm
intervals
Results
763.0ms9142×body80valid