Details

Time bar (total: 13.4s)

sample36.0ms

Algorithm
intervals
Results
16.0ms303×body80valid

simplify376.0ms

Counts
1 → 1

prune3.0ms

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

rewrite161.0ms

Algorithm
rewrite-expression-head
Rules
18×add-sqr-sqrt
10×pow1 add-exp-log *-un-lft-identity add-cbrt-cube
7×associate-*l*
6×add-cube-cbrt associate-*r* associate-*l/
5×add-log-exp
4×pow-prod-down prod-exp cbrt-unprod difference-of-squares
3×flip3-- flip--
2×times-frac *-commutative distribute-lft-out--
1×sub-neg diff-log unswap-sqr
Counts
3 → 58
Calls
3 calls:
12.0ms
(- x (/ 16.0 116.0))
66.0ms
(* (- x (/ 16.0 116.0)) 3.0)
81.0ms
(* (* (- x (/ 16.0 116.0)) 3.0) y)

series156.0ms

Counts
3 → 9
Calls
3 calls:
40.0ms
(- x (/ 16.0 116.0))
76.0ms
(* (- x (/ 16.0 116.0)) 3.0)
40.0ms
(* (* (- x (/ 16.0 116.0)) 3.0) y)

simplify1.7s

Counts
67 → 67

prune218.0ms

Pruning

9 alts after pruning (8 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))
0.5b
(* (- x (/ 16.0 116.0)) (* 3.0 y))

rewrite99.0ms

Algorithm
rewrite-expression-head
Rules
13×add-sqr-sqrt
7×pow1 add-exp-log *-un-lft-identity add-cbrt-cube
6×associate-*l*
4×add-log-exp difference-of-squares
3×add-cube-cbrt pow-prod-down prod-exp cbrt-unprod
2×flip3-- times-frac associate-*l/ flip-- distribute-lft-out--
1×sub-neg diff-log associate-*r* *-commutative
Counts
2 → 38
Calls
2 calls:
14.0ms
(- x (/ 16.0 116.0))
82.0ms
(* (- x (/ 16.0 116.0)) (* 3.0 y))

series76.0ms

Counts
2 → 6
Calls
2 calls:
24.0ms
(- x (/ 16.0 116.0))
52.0ms
(* (- x (/ 16.0 116.0)) (* 3.0 y))

simplify1.3s

Counts
44 → 44

prune161.0ms

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 0.0b

localize20.0ms

Local error

Found 4 expressions with local error:

0.0b
(- x (/ 16.0 116.0))
0.0b
(* (- 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))

rewrite852.0ms

Algorithm
rewrite-expression-head
Rules
32×pow1 add-exp-log
20×add-cbrt-cube
19×add-sqr-sqrt pow-prod-down prod-exp cbrt-unprod
12×*-un-lft-identity associate-*l/
10×associate-*r*
8×add-cube-cbrt associate-*l*
6×add-log-exp
4×flip3-- flip-- difference-of-squares
3×cbrt-prod *-commutative
2×times-frac distribute-lft-out--
1×sub-neg diff-log unswap-sqr
Counts
4 → 91
Calls
4 calls:
12.0ms
(- x (/ 16.0 116.0))
78.0ms
(* (- x (/ 16.0 116.0)) (* (cbrt 3.0) (cbrt 3.0)))
601.0ms
(* (* (* (- x (/ 16.0 116.0)) (* (cbrt 3.0) (cbrt 3.0))) (cbrt 3.0)) y)
154.0ms
(* (* (- x (/ 16.0 116.0)) (* (cbrt 3.0) (cbrt 3.0))) (cbrt 3.0))

series511.0ms

Counts
4 → 12
Calls
4 calls:
24.0ms
(- x (/ 16.0 116.0))
163.0ms
(* (- x (/ 16.0 116.0)) (* (cbrt 3.0) (cbrt 3.0)))
129.0ms
(* (* (* (- x (/ 16.0 116.0)) (* (cbrt 3.0) (cbrt 3.0))) (cbrt 3.0)) y)
195.0ms
(* (* (- x (/ 16.0 116.0)) (* (cbrt 3.0) (cbrt 3.0))) (cbrt 3.0))

simplify1.1s

Counts
103 → 103

prune343.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

localize28.0ms

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

rewrite1.2s

Algorithm
rewrite-expression-head
Rules
53×add-exp-log
37×prod-exp
23×add-cbrt-cube
20×pow1
19×add-sqr-sqrt cbrt-unprod
13×*-un-lft-identity associate-*r*
12×associate-*l/
10×pow-prod-down
9×cbrt-prod add-cube-cbrt
8×associate-*l*
6×add-log-exp
4×flip3-- flip-- difference-of-squares
3×pow-to-exp pow-exp *-commutative
2×times-frac distribute-lft-out--
1×sub-neg diff-log
Counts
4 → 96
Calls
4 calls:
23.0ms
(- x (/ 16.0 116.0))
148.0ms
(* (- x (/ 16.0 116.0)) (* (pow (cbrt 3.0) 2) (cbrt (* (cbrt 3.0) (cbrt 3.0)))))
258.0ms
(* (* (- x (/ 16.0 116.0)) (* (pow (cbrt 3.0) 2) (cbrt (* (cbrt 3.0) (cbrt 3.0))))) (cbrt (cbrt 3.0)))
754.0ms
(* (* (* (- x (/ 16.0 116.0)) (* (pow (cbrt 3.0) 2) (cbrt (* (cbrt 3.0) (cbrt 3.0))))) (cbrt (cbrt 3.0))) y)

series1.2s

Counts
4 → 12
Calls
4 calls:
29.0ms
(- x (/ 16.0 116.0))
831.0ms
(* (- x (/ 16.0 116.0)) (* (pow (cbrt 3.0) 2) (cbrt (* (cbrt 3.0) (cbrt 3.0)))))
189.0ms
(* (* (- x (/ 16.0 116.0)) (* (pow (cbrt 3.0) 2) (cbrt (* (cbrt 3.0) (cbrt 3.0))))) (cbrt (cbrt 3.0)))
132.0ms
(* (* (* (- x (/ 16.0 116.0)) (* (pow (cbrt 3.0) 2) (cbrt (* (cbrt 3.0) (cbrt 3.0))))) (cbrt (cbrt 3.0))) y)

simplify1.2s

Counts
108 → 108

prune462.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

regimes93.0ms

Accuracy

-0.9% (0.3b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 0.3b

bsearch0.0ms

simplify1.4s

end0.0ms

sample740.0ms

Algorithm
intervals
Results
436.0ms9161×body80valid