Details

Time bar (total: 5.3s)

sample16.0ms

Algorithm
intervals
Results
6.0ms295×body80valid

simplify41.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0154
1314
2734
31514
42414
53264
63974
74574
84774
94804
104804
done4804

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize9.0ms

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)

rewrite107.0ms

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:
12.0ms
(- x (/ 16.0 116.0))
40.0ms
(* (- x (/ 16.0 116.0)) 3.0)
50.0ms
(* (* (- x (/ 16.0 116.0)) 3.0) y)

series106.0ms

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)

simplify60.0ms

Counts
115 → 115
Iterations

Useful iterations: 2 (49.0ms)

IterNodesCost
05101245
11827864
25001783
done5001783

prune171.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize6.0ms

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))

rewrite65.0ms

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:
12.0ms
(- x (/ 16.0 116.0))
49.0ms
(* (- x (/ 16.0 116.0)) (* 3.0 y))

series65.0ms

Counts
2 → 6
Calls
2 calls:
27.0ms
(- x (/ 16.0 116.0))
38.0ms
(* (- x (/ 16.0 116.0)) (* 3.0 y))

simplify54.0ms

Counts
90 → 90
Iterations

Useful iterations: 2 (45.0ms)

IterNodesCost
04741133
11545766
25002685
done5002685

prune121.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b
(- x (/ 16.0 116.0))
0.1b
(* (- x (/ 16.0 116.0)) (* (cbrt 3.0) (cbrt 3.0)))
0.2b
(* (* (* (- x (/ 16.0 116.0)) (* (cbrt 3.0) (cbrt 3.0))) (cbrt 3.0)) y)
0.7b
(* (* (- x (/ 16.0 116.0)) (* (cbrt 3.0) (cbrt 3.0))) (cbrt 3.0))

rewrite531.0ms

Algorithm
rewrite-expression-head
Rules
54×add-sqr-sqrt
47×*-un-lft-identity
43×add-cube-cbrt
39×prod-diff
32×pow1 add-exp-log
29×times-frac
20×add-cbrt-cube
19×pow-prod-down prod-exp cbrt-unprod
12×associate-*l/
10×associate-*r*
8×associate-*l*
6×add-log-exp
4×expm1-log1p-u flip3-- flip-- log1p-expm1-u difference-of-squares
3×cbrt-prod fma-neg *-commutative div-inv
2×distribute-lft-out--
1×sub-neg diff-log unswap-sqr
Counts
4 → 141
Calls
4 calls:
12.0ms
(- x (/ 16.0 116.0))
53.0ms
(* (- x (/ 16.0 116.0)) (* (cbrt 3.0) (cbrt 3.0)))
354.0ms
(* (* (* (- x (/ 16.0 116.0)) (* (cbrt 3.0) (cbrt 3.0))) (cbrt 3.0)) y)
105.0ms
(* (* (- x (/ 16.0 116.0)) (* (cbrt 3.0) (cbrt 3.0))) (cbrt 3.0))

series373.0ms

Counts
4 → 12
Calls
4 calls:
23.0ms
(- x (/ 16.0 116.0))
120.0ms
(* (- x (/ 16.0 116.0)) (* (cbrt 3.0) (cbrt 3.0)))
97.0ms
(* (* (* (- x (/ 16.0 116.0)) (* (cbrt 3.0) (cbrt 3.0))) (cbrt 3.0)) y)
133.0ms
(* (* (- x (/ 16.0 116.0)) (* (cbrt 3.0) (cbrt 3.0))) (cbrt 3.0))

simplify85.0ms

Counts
153 → 153
Iterations

Useful iterations: 2 (71.0ms)

IterNodesCost
06481797
126991267
250031146
done50031146

prune268.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b
(- x (/ 16.0 116.0))
0.1b
(* (- x (/ 16.0 116.0)) (* (pow (cbrt 3.0) 2) (* (cbrt (cbrt 3.0)) (cbrt (cbrt 3.0)))))
0.2b
(* (* (- x (/ 16.0 116.0)) (* (pow (cbrt 3.0) 2) (* (cbrt (cbrt 3.0)) (cbrt (cbrt 3.0))))) (cbrt (cbrt 3.0)))
0.2b
(* (* (* (- x (/ 16.0 116.0)) (* (pow (cbrt 3.0) 2) (* (cbrt (cbrt 3.0)) (cbrt (cbrt 3.0))))) (cbrt (cbrt 3.0))) y)

rewrite1.4s

Algorithm
rewrite-expression-head
Rules
95×add-exp-log
73×prod-exp
54×add-sqr-sqrt
48×*-un-lft-identity
44×add-cube-cbrt
39×prod-diff
33×add-cbrt-cube
31×cbrt-unprod
29×times-frac
20×pow1
13×associate-*r*
12×associate-*l/
10×pow-prod-down
9×cbrt-prod
8×associate-*l*
6×pow-to-exp pow-exp add-log-exp
4×expm1-log1p-u flip3-- flip-- log1p-expm1-u difference-of-squares
3×fma-neg *-commutative div-inv
2×distribute-lft-out--
1×sub-neg diff-log
Counts
4 → 158
Calls
4 calls:
12.0ms
(- x (/ 16.0 116.0))
110.0ms
(* (- x (/ 16.0 116.0)) (* (pow (cbrt 3.0) 2) (* (cbrt (cbrt 3.0)) (cbrt (cbrt 3.0)))))
288.0ms
(* (* (- x (/ 16.0 116.0)) (* (pow (cbrt 3.0) 2) (* (cbrt (cbrt 3.0)) (cbrt (cbrt 3.0))))) (cbrt (cbrt 3.0)))
1.0s
(* (* (* (- x (/ 16.0 116.0)) (* (pow (cbrt 3.0) 2) (* (cbrt (cbrt 3.0)) (cbrt (cbrt 3.0))))) (cbrt (cbrt 3.0))) y)

series817.0ms

Counts
4 → 12
Calls
4 calls:
23.0ms
(- x (/ 16.0 116.0))
551.0ms
(* (- x (/ 16.0 116.0)) (* (pow (cbrt 3.0) 2) (* (cbrt (cbrt 3.0)) (cbrt (cbrt 3.0)))))
134.0ms
(* (* (- x (/ 16.0 116.0)) (* (pow (cbrt 3.0) 2) (* (cbrt (cbrt 3.0)) (cbrt (cbrt 3.0))))) (cbrt (cbrt 3.0)))
109.0ms
(* (* (* (- x (/ 16.0 116.0)) (* (pow (cbrt 3.0) 2) (* (cbrt (cbrt 3.0)) (cbrt (cbrt 3.0))))) (cbrt (cbrt 3.0))) y)

simplify111.0ms

Counts
170 → 170
Iterations

Useful iterations: 2 (92.0ms)

IterNodesCost
07732730
132481981
250011709
done50011709

prune324.0ms

Pruning

6 alts after pruning (2 fresh and 4 done)

Merged error: 0b

regimes117.0ms

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
0114
1114
done114

end0.0ms

sample390.0ms

Algorithm
intervals
Results
200.0ms9207×body80valid