Details

Time bar (total: 5.8s)

sample17.0ms

Algorithm
intervals
Results
6.0ms295×body80valid

simplify58.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (3.0ms)

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

localize7.0ms

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)

rewrite117.0ms

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:
14.0ms
(- x (/ 16.0 116.0))
41.0ms
(* (- x (/ 16.0 116.0)) 3.0)
57.0ms
(* (* (- x (/ 16.0 116.0)) 3.0) y)

series122.0ms

Counts
3 → 9
Calls
3 calls:
26.0ms
(- x (/ 16.0 116.0))
53.0ms
(* (- x (/ 16.0 116.0)) 3.0)
43.0ms
(* (* (- x (/ 16.0 116.0)) 3.0) y)

simplify71.0ms

Counts
115 → 115
Iterations

Useful iterations: 2 (59.0ms)

IterNodesCost
05101245
11827864
25001783
done5001783

prune195.0ms

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))

rewrite71.0ms

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:
13.0ms
(- x (/ 16.0 116.0))
54.0ms
(* (- x (/ 16.0 116.0)) (* 3.0 y))

series73.0ms

Counts
2 → 6
Calls
2 calls:
25.0ms
(- x (/ 16.0 116.0))
48.0ms
(* (- x (/ 16.0 116.0)) (* 3.0 y))

simplify64.0ms

Counts
90 → 90
Iterations

Useful iterations: 2 (54.0ms)

IterNodesCost
04741133
11545766
25002685
done5002685

prune138.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

localize10.0ms

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))

rewrite566.0ms

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:
14.0ms
(- x (/ 16.0 116.0))
58.0ms
(* (- x (/ 16.0 116.0)) (* (cbrt 3.0) (cbrt 3.0)))
373.0ms
(* (* (* (- x (/ 16.0 116.0)) (* (cbrt 3.0) (cbrt 3.0))) (cbrt 3.0)) y)
115.0ms
(* (* (- x (/ 16.0 116.0)) (* (cbrt 3.0) (cbrt 3.0))) (cbrt 3.0))

series431.0ms

Counts
4 → 12
Calls
4 calls:
34.0ms
(- x (/ 16.0 116.0))
139.0ms
(* (- x (/ 16.0 116.0)) (* (cbrt 3.0) (cbrt 3.0)))
110.0ms
(* (* (* (- x (/ 16.0 116.0)) (* (cbrt 3.0) (cbrt 3.0))) (cbrt 3.0)) y)
148.0ms
(* (* (- x (/ 16.0 116.0)) (* (cbrt 3.0) (cbrt 3.0))) (cbrt 3.0))

simplify97.0ms

Counts
153 → 153
Iterations

Useful iterations: 2 (82.0ms)

IterNodesCost
06481797
126991267
250031146
done50031146

prune291.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

localize15.0ms

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)

rewrite1.5s

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:
13.0ms
(- x (/ 16.0 116.0))
115.0ms
(* (- x (/ 16.0 116.0)) (* (pow (cbrt 3.0) 2) (* (cbrt (cbrt 3.0)) (cbrt (cbrt 3.0)))))
308.0ms
(* (* (- x (/ 16.0 116.0)) (* (pow (cbrt 3.0) 2) (* (cbrt (cbrt 3.0)) (cbrt (cbrt 3.0))))) (cbrt (cbrt 3.0)))
1.1s
(* (* (* (- x (/ 16.0 116.0)) (* (pow (cbrt 3.0) 2) (* (cbrt (cbrt 3.0)) (cbrt (cbrt 3.0))))) (cbrt (cbrt 3.0))) y)

series933.0ms

Counts
4 → 12
Calls
4 calls:
25.0ms
(- x (/ 16.0 116.0))
626.0ms
(* (- x (/ 16.0 116.0)) (* (pow (cbrt 3.0) 2) (* (cbrt (cbrt 3.0)) (cbrt (cbrt 3.0)))))
161.0ms
(* (* (- x (/ 16.0 116.0)) (* (pow (cbrt 3.0) 2) (* (cbrt (cbrt 3.0)) (cbrt (cbrt 3.0))))) (cbrt (cbrt 3.0)))
120.0ms
(* (* (* (- x (/ 16.0 116.0)) (* (pow (cbrt 3.0) 2) (* (cbrt (cbrt 3.0)) (cbrt (cbrt 3.0))))) (cbrt (cbrt 3.0))) y)

simplify133.0ms

Counts
170 → 170
Iterations

Useful iterations: 2 (104.0ms)

IterNodesCost
07732730
132481981
250011709
done50011709

prune366.0ms

Pruning

6 alts after pruning (2 fresh and 4 done)

Merged error: 0b

regimes126.0ms

Accuracy

0% (0.2b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0114
1114
done114

end0.0ms

sample411.0ms

Algorithm
intervals
Results
205.0ms9207×body80valid