Details

Time bar (total: 8.9s)

sample14.0ms

Algorithm
intervals
Results
6.0ms292×body80valid

simplify396.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
099
1159
2309
3649
41199
51879
62739
73389
83819
94009
104039
done4039

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize9.0ms

Local error

Found 2 expressions with local error:

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

rewrite50.0ms

Algorithm
rewrite-expression-head
Rules
12×add-sqr-sqrt
9×pow1 add-exp-log add-cbrt-cube
7×*-un-lft-identity associate-*l*
6×associate-*r* associate-*l/
5×add-cube-cbrt
4×pow-prod-down prod-exp cbrt-unprod
2×expm1-log1p-u flip3-- *-commutative flip-- log1p-expm1-u add-log-exp difference-of-squares
1×times-frac distribute-lft-out-- unswap-sqr
Counts
2 → 47
Calls
2 calls:
22.0ms
(* (- x (/ 16.0 116.0)) 3.0)
27.0ms
(* (* (- x (/ 16.0 116.0)) 3.0) y)

series77.0ms

Counts
2 → 6
Calls
2 calls:
39.0ms
(* (- x (/ 16.0 116.0)) 3.0)
38.0ms
(* (* (- x (/ 16.0 116.0)) 3.0) y)

simplify1.7s

Counts
53 → 53
Iterations

Useful iterations: 2 (58.0ms)

IterNodesCost
088576
1210568
2780480
33372480
done5001480

prune101.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 1 expressions with local error:

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

rewrite27.0ms

Algorithm
rewrite-expression-head
Rules
7×add-sqr-sqrt
6×pow1 add-exp-log associate-*l* add-cbrt-cube
4×*-un-lft-identity
3×pow-prod-down prod-exp cbrt-unprod
2×add-cube-cbrt associate-*l/ difference-of-squares
1×expm1-log1p-u flip3-- times-frac associate-*r* *-commutative flip-- log1p-expm1-u distribute-lft-out-- add-log-exp
Counts
1 → 25
Calls
1 calls:
26.0ms
(* (- x (/ 16.0 116.0)) (* 3.0 y))

series38.0ms

Counts
1 → 3
Calls
1 calls:
38.0ms
(* (- x (/ 16.0 116.0)) (* 3.0 y))

simplify724.0ms

Counts
28 → 28
Iterations

Useful iterations: 2 (39.0ms)

IterNodesCost
064342
1166339
2535279
31991279
done5000279

prune60.0ms

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 3 expressions with local error:

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))

rewrite295.0ms

Algorithm
rewrite-expression-head
Rules
31×pow1 add-exp-log
19×pow-prod-down prod-exp add-cbrt-cube cbrt-unprod
13×add-sqr-sqrt
12×associate-*l/
10×associate-*r*
9×*-un-lft-identity
8×associate-*l*
7×add-cube-cbrt
3×cbrt-prod expm1-log1p-u flip3-- *-commutative flip-- log1p-expm1-u add-log-exp
2×difference-of-squares
1×times-frac distribute-lft-out-- unswap-sqr
Counts
3 → 82
Calls
3 calls:
31.0ms
(* (- x (/ 16.0 116.0)) (* (cbrt 3.0) (cbrt 3.0)))
204.0ms
(* (* (* (- x (/ 16.0 116.0)) (* (cbrt 3.0) (cbrt 3.0))) (cbrt 3.0)) y)
57.0ms
(* (* (- x (/ 16.0 116.0)) (* (cbrt 3.0) (cbrt 3.0))) (cbrt 3.0))

series324.0ms

Counts
3 → 9
Calls
3 calls:
114.0ms
(* (- x (/ 16.0 116.0)) (* (cbrt 3.0) (cbrt 3.0)))
92.0ms
(* (* (* (- x (/ 16.0 116.0)) (* (cbrt 3.0) (cbrt 3.0))) (cbrt 3.0)) y)
117.0ms
(* (* (- x (/ 16.0 116.0)) (* (cbrt 3.0) (cbrt 3.0))) (cbrt 3.0))

simplify652.0ms

Counts
91 → 91
Iterations

Useful iterations: 2 (110.0ms)

IterNodesCost
01321581
13501459
215161068
done50011068

prune206.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

localize19.0ms

Local error

Found 4 expressions with local error:

0.1b
(* (- x (/ 16.0 116.0)) (pow (cbrt 3.0) 2))
0.1b
(* (* (* (- x (/ 16.0 116.0)) (pow (cbrt 3.0) 2)) (cbrt (pow (cbrt 3.0) 2))) (cbrt (cbrt 3.0)))
0.2b
(* (* (* (* (- x (/ 16.0 116.0)) (pow (cbrt 3.0) 2)) (cbrt (pow (cbrt 3.0) 2))) (cbrt (cbrt 3.0))) y)
0.7b
(* (* (- x (/ 16.0 116.0)) (pow (cbrt 3.0) 2)) (cbrt (pow (cbrt 3.0) 2)))

rewrite704.0ms

Algorithm
rewrite-expression-head
Rules
58×add-exp-log
40×prod-exp
37×associate-*r*
29×add-sqr-sqrt
27×cbrt-prod
22×add-cbrt-cube
20×pow1 associate-*l/ cbrt-unprod
18×*-un-lft-identity
16×add-cube-cbrt
14×unpow-prod-down
10×pow-prod-down
9×associate-*l*
5×unswap-sqr
4×expm1-log1p-u pow-to-exp flip3-- pow-exp *-commutative flip-- log1p-expm1-u add-log-exp
3×unpow2 sqr-pow
2×difference-of-squares
1×times-frac distribute-lft-out--
Counts
4 → 133
Calls
4 calls:
28.0ms
(* (- x (/ 16.0 116.0)) (pow (cbrt 3.0) 2))
131.0ms
(* (* (* (- x (/ 16.0 116.0)) (pow (cbrt 3.0) 2)) (cbrt (pow (cbrt 3.0) 2))) (cbrt (cbrt 3.0)))
500.0ms
(* (* (* (* (- x (/ 16.0 116.0)) (pow (cbrt 3.0) 2)) (cbrt (pow (cbrt 3.0) 2))) (cbrt (cbrt 3.0))) y)
39.0ms
(* (* (- x (/ 16.0 116.0)) (pow (cbrt 3.0) 2)) (cbrt (pow (cbrt 3.0) 2)))

series858.0ms

Counts
4 → 12
Calls
4 calls:
114.0ms
(* (- x (/ 16.0 116.0)) (pow (cbrt 3.0) 2))
130.0ms
(* (* (* (- x (/ 16.0 116.0)) (pow (cbrt 3.0) 2)) (cbrt (pow (cbrt 3.0) 2))) (cbrt (cbrt 3.0)))
98.0ms
(* (* (* (* (- x (/ 16.0 116.0)) (pow (cbrt 3.0) 2)) (cbrt (pow (cbrt 3.0) 2))) (cbrt (cbrt 3.0))) y)
516.0ms
(* (* (- x (/ 16.0 116.0)) (pow (cbrt 3.0) 2)) (cbrt (pow (cbrt 3.0) 2)))

simplify1.8s

Counts
145 → 145
Iterations

Useful iterations: 2 (225.0ms)

IterNodesCost
02212978
15542799
226102388
done50012388

prune349.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

regimes129.0ms

Accuracy

0% (0.2b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
099
1119
done119

end0.0ms

sample336.0ms

Algorithm
intervals
Results
195.0ms9143×body80valid