Details

Time bar (total: 19.5s)

sample35.0ms

Algorithm
intervals
Results
15.0ms301×body80valid

simplify1.0s

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
099
1159
2319
3729
41569
52479
63359
74119
84599
94749
104759
done4759

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize21.0ms

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)

rewrite216.0ms

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:
18.0ms
(- x (/ 16.0 116.0))
74.0ms
(* (- x (/ 16.0 116.0)) 3.0)
120.0ms
(* (* (- x (/ 16.0 116.0)) 3.0) y)

series183.0ms

Counts
3 → 9
Calls
3 calls:
35.0ms
(- x (/ 16.0 116.0))
84.0ms
(* (- x (/ 16.0 116.0)) 3.0)
64.0ms
(* (* (- x (/ 16.0 116.0)) 3.0) y)

simplify1.2s

Counts
67 → 67
Iterations

Useful iterations: 2 (254.0ms)

IterNodesCost
098701
1231688
21132590
done5002590

prune355.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize22.0ms

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))

rewrite116.0ms

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:
18.0ms
(- x (/ 16.0 116.0))
95.0ms
(* (- x (/ 16.0 116.0)) (* 3.0 y))

series105.0ms

Counts
2 → 6
Calls
2 calls:
37.0ms
(- x (/ 16.0 116.0))
67.0ms
(* (- x (/ 16.0 116.0)) (* 3.0 y))

simplify2.2s

Counts
44 → 44
Iterations

Useful iterations: 2 (155.0ms)

IterNodesCost
076483
1187475
2595405
32716405
done5001405

prune233.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

localize51.0ms

Local error

Found 4 expressions with local error:

0.1b
(* (- (pow x 3) (pow (/ 16.0 116.0) 3)) 3.0)
0.1b
(* x (/ 16.0 116.0))
0.2b
(* (/ (* (- (pow x 3) (pow (/ 16.0 116.0) 3)) 3.0) (+ (* x x) (+ (* (/ 16.0 116.0) (/ 16.0 116.0)) (* x (/ 16.0 116.0))))) y)
16.6b
(/ (* (- (pow x 3) (pow (/ 16.0 116.0) 3)) 3.0) (+ (* x x) (+ (* (/ 16.0 116.0) (/ 16.0 116.0)) (* x (/ 16.0 116.0)))))

rewrite1.1s

Algorithm
rewrite-expression-head
Rules
74×add-sqr-sqrt
45×associate-*l*
29×*-un-lft-identity
25×add-exp-log add-cbrt-cube
24×times-frac difference-of-squares
19×add-cube-cbrt associate-*r*
18×unpow-prod-down cube-prod
10×pow1 sqr-pow
8×prod-exp cbrt-unprod
5×cbrt-undiv div-exp associate-*l/ distribute-lft-out--
4×associate-/r/ add-log-exp unswap-sqr
3×pow-prod-down associate-/r* *-commutative div-inv
2×flip3-- flip3-+ flip-- flip-+ associate-/l/
1×difference-cubes frac-2neg associate-*r/ clear-num associate-/l*
Counts
4 → 136
Calls
4 calls:
329.0ms
(* (- (pow x 3) (pow (/ 16.0 116.0) 3)) 3.0)
27.0ms
(* x (/ 16.0 116.0))
511.0ms
(* (/ (* (- (pow x 3) (pow (/ 16.0 116.0) 3)) 3.0) (+ (* x x) (+ (* (/ 16.0 116.0) (/ 16.0 116.0)) (* x (/ 16.0 116.0))))) y)
226.0ms
(/ (* (- (pow x 3) (pow (/ 16.0 116.0) 3)) 3.0) (+ (* x x) (+ (* (/ 16.0 116.0) (/ 16.0 116.0)) (* x (/ 16.0 116.0)))))

series725.0ms

Counts
4 → 12
Calls
4 calls:
189.0ms
(* (- (pow x 3) (pow (/ 16.0 116.0) 3)) 3.0)
28.0ms
(* x (/ 16.0 116.0))
171.0ms
(* (/ (* (- (pow x 3) (pow (/ 16.0 116.0) 3)) 3.0) (+ (* x x) (+ (* (/ 16.0 116.0) (/ 16.0 116.0)) (* x (/ 16.0 116.0))))) y)
337.0ms
(/ (* (- (pow x 3) (pow (/ 16.0 116.0) 3)) 3.0) (+ (* x x) (+ (* (/ 16.0 116.0) (/ 16.0 116.0)) (* x (/ 16.0 116.0)))))

simplify3.7s

Counts
148 → 148
Iterations

Useful iterations: done (3.6s)

IterNodesCost
02413239
16932846
240622420
done50022410

prune1.1s

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0b

localize60.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (* x x) (+ (* (/ 16.0 116.0) (/ 16.0 116.0)) (* x (/ 16.0 116.0))))
0.1b
(* x (/ 16.0 116.0))
2.2b
(* (- (pow x 3) (pow (/ 16.0 116.0) 3)) (* 3.0 y))
16.7b
(/ (* (- (pow x 3) (pow (/ 16.0 116.0) 3)) (* 3.0 y)) (+ (* x x) (+ (* (/ 16.0 116.0) (/ 16.0 116.0)) (* x (/ 16.0 116.0)))))

rewrite743.0ms

Algorithm
rewrite-expression-head
Rules
66×add-sqr-sqrt
36×associate-*l*
25×*-un-lft-identity
24×difference-of-squares
23×add-exp-log add-cbrt-cube
21×times-frac
18×unpow-prod-down cube-prod
15×add-cube-cbrt
14×associate-*r*
11×pow1
10×sqr-pow
9×add-log-exp
8×prod-exp cbrt-unprod
5×distribute-lft-out--
4×cbrt-undiv div-exp pow-prod-down associate-*l/
3×associate-/r* sum-log
2×flip3-- flip3-+ associate-/r/ *-commutative flip-- flip-+ div-inv associate-/l/ unswap-sqr
1×difference-cubes +-commutative associate-+r+ frac-2neg associate-*r/ clear-num associate-/l*
Counts
4 → 122
Calls
4 calls:
76.0ms
(+ (* x x) (+ (* (/ 16.0 116.0) (/ 16.0 116.0)) (* x (/ 16.0 116.0))))
28.0ms
(* x (/ 16.0 116.0))
352.0ms
(* (- (pow x 3) (pow (/ 16.0 116.0) 3)) (* 3.0 y))
275.0ms
(/ (* (- (pow x 3) (pow (/ 16.0 116.0) 3)) (* 3.0 y)) (+ (* x x) (+ (* (/ 16.0 116.0) (/ 16.0 116.0)) (* x (/ 16.0 116.0)))))

series350.0ms

Counts
4 → 12
Calls
4 calls:
46.0ms
(+ (* x x) (+ (* (/ 16.0 116.0) (/ 16.0 116.0)) (* x (/ 16.0 116.0))))
32.0ms
(* x (/ 16.0 116.0))
97.0ms
(* (- (pow x 3) (pow (/ 16.0 116.0) 3)) (* 3.0 y))
175.0ms
(/ (* (- (pow x 3) (pow (/ 16.0 116.0) 3)) (* 3.0 y)) (+ (* x x) (+ (* (/ 16.0 116.0) (/ 16.0 116.0)) (* x (/ 16.0 116.0)))))

simplify3.5s

Counts
134 → 134
Iterations

Useful iterations: done (3.5s)

IterNodesCost
02292746
17132417
240152061
done50022049

prune977.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

regimes464.0ms

Accuracy

0% (0.2b remaining)

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

bsearch0.0ms

simplify4.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
099
1119
done119

end0.0ms

sample1.0s

Algorithm
intervals
Results
531.0ms9189×body80valid