Details

Time bar (total: 12.2s)

sample19.0ms

Algorithm
intervals
Results
8.0ms296×body80valid

simplify648.0ms

Counts
1 → 1
Iterations
IterNodes
done485
10485
9484
8468
7420
6348
5250
4156
372
231
115
09

prune4.0ms

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)

rewrite120.0ms

Algorithm
rewrite-expression-head
Rules
18×add-sqr-sqrt
10×pow1 *-un-lft-identity add-cbrt-cube add-exp-log
associate-*l*
associate-*r* associate-*l/ add-cube-cbrt
add-log-exp
pow-prod-down prod-exp cbrt-unprod difference-of-squares
flip3-- flip--
times-frac *-commutative distribute-lft-out--
sub-neg diff-log unswap-sqr
Counts
3 → 58
Calls
3 calls:
9.0ms
(- x (/ 16.0 116.0))
52.0ms
(* (- x (/ 16.0 116.0)) 3.0)
58.0ms
(* (* (- x (/ 16.0 116.0)) 3.0) y)

series168.0ms

Counts
3 → 9
Calls
3 calls:
40.0ms
(- x (/ 16.0 116.0))
82.0ms
(* (- x (/ 16.0 116.0)) 3.0)
46.0ms
(* (* (- x (/ 16.0 116.0)) 3.0) y)

simplify1.2s

Counts
67 → 67
Iterations
IterNodes
done5000
21109
1231
098

prune314.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

localize10.0ms

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))

rewrite72.0ms

Algorithm
rewrite-expression-head
Rules
13×add-sqr-sqrt
pow1 *-un-lft-identity add-cbrt-cube add-exp-log
associate-*l*
add-log-exp difference-of-squares
pow-prod-down prod-exp add-cube-cbrt cbrt-unprod
times-frac flip3-- associate-*l/ flip-- distribute-lft-out--
sub-neg diff-log associate-*r* *-commutative
Counts
2 → 38
Calls
2 calls:
8.0ms
(- x (/ 16.0 116.0))
63.0ms
(* (- x (/ 16.0 116.0)) (* 3.0 y))

series87.0ms

Counts
2 → 6
Calls
2 calls:
29.0ms
(- x (/ 16.0 116.0))
58.0ms
(* (- x (/ 16.0 116.0)) (* 3.0 y))

simplify1.8s

Counts
44 → 44
Iterations
IterNodes
done5002
32723
2595
1187
076

prune192.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0b

localize48.0ms

Local error

Found 4 expressions with local error:

0.7b
(cbrt (- x (/ 16.0 116.0)))
0.7b
(cbrt (- x (/ 16.0 116.0)))
0.7b
(cbrt (- x (/ 16.0 116.0)))
0.8b
(* (cbrt (- x (/ 16.0 116.0))) (cbrt (- x (/ 16.0 116.0))))

rewrite126.0ms

Algorithm
rewrite-expression-head
Rules
58×add-sqr-sqrt
50×cbrt-prod
35×*-un-lft-identity
18×cbrt-div
15×add-cube-cbrt
14×difference-of-squares
11×pow1 swap-sqr
flip3-- pow1/3 associate-*r* associate-*l* flip-- distribute-lft-out--
times-frac
add-exp-log
frac-times add-cbrt-cube add-log-exp unswap-sqr
pow-prod-down associate-*l/ associate-*r/ pow-sqr pow-prod-up
pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 107
Calls
4 calls:
16.0ms
(cbrt (- x (/ 16.0 116.0)))
8.0ms
(cbrt (- x (/ 16.0 116.0)))
7.0ms
(cbrt (- x (/ 16.0 116.0)))
88.0ms
(* (cbrt (- x (/ 16.0 116.0))) (cbrt (- x (/ 16.0 116.0))))

series675.0ms

Counts
4 → 12
Calls
4 calls:
158.0ms
(cbrt (- x (/ 16.0 116.0)))
160.0ms
(cbrt (- x (/ 16.0 116.0)))
160.0ms
(cbrt (- x (/ 16.0 116.0)))
196.0ms
(* (cbrt (- x (/ 16.0 116.0))) (cbrt (- x (/ 16.0 116.0))))

simplify1.6s

Counts
119 → 119
Iterations
IterNodes
done5000
21568
1426
0186

prune774.0ms

Pruning

9 alts after pruning (6 fresh and 3 done)

Merged error: 0b

localize20.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ x (/ 16.0 116.0))
0.0b
(- (* x x) (* (/ 16.0 116.0) (/ 16.0 116.0)))
0.3b
(* (/ (- (* x x) (* (/ 16.0 116.0) (/ 16.0 116.0))) (+ x (/ 16.0 116.0))) (* 3.0 y))
14.1b
(/ (- (* x x) (* (/ 16.0 116.0) (/ 16.0 116.0))) (+ x (/ 16.0 116.0)))

rewrite139.0ms

Algorithm
rewrite-expression-head
Rules
43×*-un-lft-identity
32×times-frac
23×add-sqr-sqrt add-cube-cbrt
22×associate-*l*
18×add-cbrt-cube add-exp-log
10×distribute-lft-out difference-of-squares
pow1
add-log-exp
prod-exp cbrt-unprod
associate-/r* associate-/r/ associate-/l*
cbrt-undiv flip3-+ div-exp pow-prod-down flip-+
flip3-- div-inv flip-- associate-/l/
+-commutative clear-num sum-log sub-neg frac-2neg diff-log div-sub associate-*r* associate-*l/ *-commutative
Counts
4 → 108
Calls
4 calls:
15.0ms
(+ x (/ 16.0 116.0))
12.0ms
(- (* x x) (* (/ 16.0 116.0) (/ 16.0 116.0)))
69.0ms
(* (/ (- (* x x) (* (/ 16.0 116.0) (/ 16.0 116.0))) (+ x (/ 16.0 116.0))) (* 3.0 y))
36.0ms
(/ (- (* x x) (* (/ 16.0 116.0) (/ 16.0 116.0))) (+ x (/ 16.0 116.0)))

series369.0ms

Counts
4 → 12
Calls
4 calls:
23.0ms
(+ x (/ 16.0 116.0))
83.0ms
(- (* x x) (* (/ 16.0 116.0) (/ 16.0 116.0)))
120.0ms
(* (/ (- (* x x) (* (/ 16.0 116.0) (/ 16.0 116.0))) (+ x (/ 16.0 116.0))) (* 3.0 y))
143.0ms
(/ (- (* x x) (* (/ 16.0 116.0) (/ 16.0 116.0))) (+ x (/ 16.0 116.0)))

simplify1.5s

Counts
120 → 120
Iterations
IterNodes
done5000
22481
1494
0158

prune605.0ms

Pruning

9 alts after pruning (5 fresh and 4 done)

Merged error: 0b

regimes408.0ms

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

sample1.2s

Algorithm
intervals
Results
915.0ms9128×body80valid