Details

Time bar (total: 10.8s)

sample18.0ms

Algorithm
intervals
Results
8.0ms285×body80valid

simplify599.0ms

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

prune20.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize12.0ms

Local error

Found 3 expressions with local error:

0.0b
(- x (/ 16.0 116.0))
0.1b
(* y (- x (/ 16.0 116.0)))
0.3b
(* (* y (- x (/ 16.0 116.0))) 3.0)

rewrite100.0ms

Algorithm
rewrite-expression-head
Rules
18×add-sqr-sqrt
10×pow1 *-un-lft-identity add-cbrt-cube add-exp-log
9×associate-*r*
6×add-cube-cbrt
5×add-log-exp
4×associate-*l* pow-prod-down prod-exp associate-*r/ cbrt-unprod difference-of-squares
3×sub-neg flip3-- flip--
2×distribute-rgt-in distribute-lft-in times-frac associate-*l/ *-commutative distribute-lft-out--
1×diff-log unswap-sqr
Counts
3 → 62
Calls
3 calls:
17.0ms
(- x (/ 16.0 116.0))
36.0ms
(* y (- x (/ 16.0 116.0)))
43.0ms
(* (* y (- x (/ 16.0 116.0))) 3.0)

series169.0ms

Counts
3 → 9
Calls
3 calls:
26.0ms
(- x (/ 16.0 116.0))
55.0ms
(* y (- x (/ 16.0 116.0)))
88.0ms
(* (* y (- x (/ 16.0 116.0))) 3.0)

simplify721.0ms

Counts
71 → 71
Iterations
IterNodes
done5001
21056
1257
0100

prune318.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize23.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (* x y) (* (- y) (/ 16.0 116.0)))
0.1b
(* (- y) (/ 16.0 116.0))
0.3b
(* (+ (* x y) (* (- y) (/ 16.0 116.0))) 3.0)

rewrite52.0ms

Algorithm
rewrite-expression-head
Rules
22×add-sqr-sqrt
16×associate-*r*
15×*-un-lft-identity add-cube-cbrt
13×associate-*l*
10×times-frac add-cbrt-cube add-exp-log
7×pow1
5×add-log-exp
3×distribute-lft-neg-out distribute-lft-neg-in distribute-rgt-neg-in prod-exp cbrt-unprod unswap-sqr
2×flip3-+ pow-prod-down associate-*l/ *-commutative flip-+
1×cbrt-undiv +-commutative neg-mul-1 sum-log div-exp unsub-neg associate-*r/ div-inv
Counts
3 → 73
Calls
3 calls:
16.0ms
(+ (* x y) (* (- y) (/ 16.0 116.0)))
16.0ms
(* (- y) (/ 16.0 116.0))
17.0ms
(* (+ (* x y) (* (- y) (/ 16.0 116.0))) 3.0)

series161.0ms

Counts
3 → 9
Calls
3 calls:
58.0ms
(+ (* x y) (* (- y) (/ 16.0 116.0)))
29.0ms
(* (- y) (/ 16.0 116.0))
74.0ms
(* (+ (* x y) (* (- y) (/ 16.0 116.0))) 3.0)

simplify1.4s

Counts
82 → 82
Iterations
IterNodes
done5001
22325
1391
0134

prune453.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

localize42.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (* x y) (* (/ (- y) (sqrt 116.0)) (/ 16.0 (sqrt 116.0))))
0.2b
(* (/ (- y) (sqrt 116.0)) (/ 16.0 (sqrt 116.0)))
0.3b
(* (+ (* x y) (* (/ (- y) (sqrt 116.0)) (/ 16.0 (sqrt 116.0)))) 3.0)
0.3b
(/ (- y) (sqrt 116.0))

rewrite122.0ms

Algorithm
rewrite-expression-head
Rules
150×times-frac
133×add-sqr-sqrt
101×*-un-lft-identity add-cube-cbrt
78×sqrt-prod
67×associate-*l*
39×distribute-lft-neg-in distribute-rgt-neg-in
25×associate-*r*
20×add-cbrt-cube add-exp-log
13×neg-mul-1
10×associate-/l* unswap-sqr
8×pow1
6×associate-/r* add-log-exp
5×cbrt-undiv div-exp prod-exp cbrt-unprod
4×distribute-frac-neg
3×distribute-lft-neg-out associate-*l/ div-inv
2×flip3-+ pow-prod-down *-commutative flip-+
1×neg-sub0 frac-times +-commutative clear-num sum-log frac-2neg div-sub unsub-neg associate-*r/
Counts
4 → 239
Calls
4 calls:
8.0ms
(+ (* x y) (* (/ (- y) (sqrt 116.0)) (/ 16.0 (sqrt 116.0))))
64.0ms
(* (/ (- y) (sqrt 116.0)) (/ 16.0 (sqrt 116.0)))
17.0ms
(* (+ (* x y) (* (/ (- y) (sqrt 116.0)) (/ 16.0 (sqrt 116.0)))) 3.0)
16.0ms
(/ (- y) (sqrt 116.0))

series652.0ms

Counts
4 → 12
Calls
4 calls:
179.0ms
(+ (* x y) (* (/ (- y) (sqrt 116.0)) (/ 16.0 (sqrt 116.0))))
147.0ms
(* (/ (- y) (sqrt 116.0)) (/ 16.0 (sqrt 116.0)))
218.0ms
(* (+ (* x y) (* (/ (- y) (sqrt 116.0)) (/ 16.0 (sqrt 116.0)))) 3.0)
107.0ms
(/ (- y) (sqrt 116.0))

simplify1.8s

Counts
251 → 251
Iterations
IterNodes
done5000
24578
1869
0290

prune1.2s

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0b

localize80.0ms

Local error

Found 4 expressions with local error:

1.0b
(cbrt 116.0)
1.0b
(cbrt 116.0)
1.0b
(/ (- 1) (sqrt (* (cbrt 116.0) (cbrt 116.0))))
1.0b
(* (cbrt 116.0) (cbrt 116.0))

rewrite35.0ms

Algorithm
rewrite-expression-head
Rules
48×add-sqr-sqrt
40×*-un-lft-identity times-frac add-cube-cbrt
22×cbrt-prod
15×distribute-lft-neg-in distribute-rgt-neg-in
11×pow1 sqrt-prod
10×associate-/l*
8×pow1/3 add-exp-log
6×add-cbrt-cube swap-sqr associate-*r* associate-*l*
5×neg-mul-1
4×associate-/r* add-log-exp unswap-sqr
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 neg-sub0 cbrt-undiv clear-num frac-2neg pow-plus div-sub div-exp prod-exp distribute-frac-neg *-commutative cbrt-unprod div-inv
Counts
4 → 130
Calls
4 calls:
1.0ms
(cbrt 116.0)
1.0ms
(cbrt 116.0)
12.0ms
(/ (- 1) (sqrt (* (cbrt 116.0) (cbrt 116.0))))
18.0ms
(* (cbrt 116.0) (cbrt 116.0))

series0.0ms

Counts
4 → 4
Calls
4 calls:
0.0ms
(cbrt 116.0)
0.0ms
(cbrt 116.0)
0.0ms
(/ (- 1) (sqrt (* (cbrt 116.0) (cbrt 116.0))))
0.0ms
(* (cbrt 116.0) (cbrt 116.0))

simplify884.0ms

Counts
134 → 134
Iterations
IterNodes
done5000
21128
1312
0152

prune773.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

regimes498.0ms

Accuracy

0% (0.4b remaining)

Error of 0.4b against oracle of 0.0b and baseline of 0.4b

bsearch0.0ms

simplify8.0ms

Iterations
IterNodes
done38
438
336
233
129
020

end0.0ms

sample655.0ms

Algorithm
intervals
Results
446.0ms9180×body80valid