Details

Time bar (total: 9.3s)

sample15.0ms

Algorithm
intervals
Results
7.0ms292×body80valid

simplify335.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
099
1159
2309
3619
41049
51649
62419
72999
83359
93489
done3489

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize6.0ms

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)

rewrite53.0ms

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×flip3-- *-commutative flip-- add-log-exp difference-of-squares
1×times-frac distribute-lft-out-- unswap-sqr
Counts
2 → 43
Calls
2 calls:
24.0ms
(* (- x (/ 16.0 116.0)) 3.0)
27.0ms
(* (* (- x (/ 16.0 116.0)) 3.0) y)

series80.0ms

Counts
2 → 6
Calls
2 calls:
43.0ms
(* (- x (/ 16.0 116.0)) 3.0)
37.0ms
(* (* (- x (/ 16.0 116.0)) 3.0) y)

simplify1.7s

Counts
49 → 49
Iterations

Useful iterations: 2 (86.0ms)

IterNodesCost
084540
1198532
2700444
32731444
done5000444

prune86.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 1 expressions with local error:

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

rewrite26.0ms

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×flip3-- times-frac associate-*r* *-commutative flip-- distribute-lft-out-- add-log-exp
Counts
1 → 23
Calls
1 calls:
25.0ms
(* (- x (/ 16.0 116.0)) (* 3.0 y))

series37.0ms

Counts
1 → 3
Calls
1 calls:
37.0ms
(* (- x (/ 16.0 116.0)) (* 3.0 y))

simplify1.4s

Counts
26 → 26
Iterations

Useful iterations: 2 (45.0ms)

IterNodesCost
062322
1162319
2523259
31912259
done5001259

prune54.0ms

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 0.0b

localize9.0ms

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))

rewrite289.0ms

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 flip3-- *-commutative flip-- add-log-exp
2×difference-of-squares
1×times-frac distribute-lft-out-- unswap-sqr
Counts
3 → 76
Calls
3 calls:
29.0ms
(* (- x (/ 16.0 116.0)) (* (cbrt 3.0) (cbrt 3.0)))
201.0ms
(* (* (* (- x (/ 16.0 116.0)) (* (cbrt 3.0) (cbrt 3.0))) (cbrt 3.0)) y)
56.0ms
(* (* (- x (/ 16.0 116.0)) (* (cbrt 3.0) (cbrt 3.0))) (cbrt 3.0))

series518.0ms

Counts
3 → 9
Calls
3 calls:
300.0ms
(* (- x (/ 16.0 116.0)) (* (cbrt 3.0) (cbrt 3.0)))
94.0ms
(* (* (* (- x (/ 16.0 116.0)) (* (cbrt 3.0) (cbrt 3.0))) (cbrt 3.0)) y)
123.0ms
(* (* (- x (/ 16.0 116.0)) (* (cbrt 3.0) (cbrt 3.0))) (cbrt 3.0))

simplify850.0ms

Counts
85 → 85
Iterations

Useful iterations: 2 (167.0ms)

IterNodesCost
01261493
13321375
21360998
done5000998

prune173.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 4 expressions with local error:

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

rewrite814.0ms

Algorithm
rewrite-expression-head
Rules
112×add-exp-log
85×prod-exp
41×cbrt-unprod
39×add-cbrt-cube
32×pow1
25×add-sqr-sqrt
19×associate-*r* pow-prod-down
14×*-un-lft-identity associate-*l*
13×cbrt-prod
12×add-cube-cbrt associate-*l/
8×unpow-prod-down associate-*r/
7×pow-to-exp pow-exp
5×unswap-sqr
4×flip3-- *-commutative flip-- add-log-exp
2×distribute-rgt-in sub-neg distribute-lft-in unpow2 difference-of-squares sqr-pow
1×times-frac distribute-lft-out--
Counts
4 → 137
Calls
4 calls:
29.0ms
(* (pow (cbrt 3.0) 2) (- x (/ 16.0 116.0)))
152.0ms
(* (* (* (pow (cbrt 3.0) 2) (- x (/ 16.0 116.0))) (* (cbrt (cbrt 3.0)) (cbrt (cbrt 3.0)))) (cbrt (cbrt 3.0)))
585.0ms
(* (* (* (* (pow (cbrt 3.0) 2) (- x (/ 16.0 116.0))) (* (cbrt (cbrt 3.0)) (cbrt (cbrt 3.0)))) (cbrt (cbrt 3.0))) y)
43.0ms
(* (* (pow (cbrt 3.0) 2) (- x (/ 16.0 116.0))) (* (cbrt (cbrt 3.0)) (cbrt (cbrt 3.0))))

series919.0ms

Counts
4 → 12
Calls
4 calls:
119.0ms
(* (pow (cbrt 3.0) 2) (- x (/ 16.0 116.0)))
135.0ms
(* (* (* (pow (cbrt 3.0) 2) (- x (/ 16.0 116.0))) (* (cbrt (cbrt 3.0)) (cbrt (cbrt 3.0)))) (cbrt (cbrt 3.0)))
108.0ms
(* (* (* (* (pow (cbrt 3.0) 2) (- x (/ 16.0 116.0))) (* (cbrt (cbrt 3.0)) (cbrt (cbrt 3.0)))) (cbrt (cbrt 3.0))) y)
557.0ms
(* (* (pow (cbrt 3.0) 2) (- x (/ 16.0 116.0))) (* (cbrt (cbrt 3.0)) (cbrt (cbrt 3.0))))

simplify1.1s

Counts
149 → 149
Iterations

Useful iterations: 2 (410.0ms)

IterNodesCost
02043558
15453105
223352331
done50012331

prune310.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

regimes144.0ms

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

sample350.0ms

Algorithm
intervals
Results
211.0ms9143×body80valid