Details

Time bar (total: 10.4s)

sample16.0ms

Algorithm
intervals
Results
7.0ms292×body80valid

simplify510.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
099
1159
2309
3639
41189
51869
62729
73359
83789
93969
103999
done3999

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize7.0ms

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)

rewrite57.0ms

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:
27.0ms
(* (- x (/ 16.0 116.0)) 3.0)
29.0ms
(* (* (- x (/ 16.0 116.0)) 3.0) y)

series87.0ms

Counts
2 → 6
Calls
2 calls:
45.0ms
(* (- x (/ 16.0 116.0)) 3.0)
41.0ms
(* (* (- x (/ 16.0 116.0)) 3.0) y)

simplify1.9s

Counts
53 → 53
Iterations

Useful iterations: 2 (96.0ms)

IterNodesCost
088576
1205568
2712480
32809480
done5000480

prune120.0ms

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))

rewrite28.0ms

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:
27.0ms
(* (- x (/ 16.0 116.0)) (* 3.0 y))

series41.0ms

Counts
1 → 3
Calls
1 calls:
41.0ms
(* (- x (/ 16.0 116.0)) (* 3.0 y))

simplify1.6s

Counts
28 → 28
Iterations

Useful iterations: 2 (48.0ms)

IterNodesCost
064342
1166339
2532279
31941279
done5000279

prune69.0ms

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))

rewrite307.0ms

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)))
214.0ms
(* (* (* (- x (/ 16.0 116.0)) (* (cbrt 3.0) (cbrt 3.0))) (cbrt 3.0)) y)
59.0ms
(* (* (- x (/ 16.0 116.0)) (* (cbrt 3.0) (cbrt 3.0))) (cbrt 3.0))

series370.0ms

Counts
3 → 9
Calls
3 calls:
131.0ms
(* (- x (/ 16.0 116.0)) (* (cbrt 3.0) (cbrt 3.0)))
104.0ms
(* (* (* (- x (/ 16.0 116.0)) (* (cbrt 3.0) (cbrt 3.0))) (cbrt 3.0)) y)
135.0ms
(* (* (- x (/ 16.0 116.0)) (* (cbrt 3.0) (cbrt 3.0))) (cbrt 3.0))

simplify899.0ms

Counts
91 → 91
Iterations

Useful iterations: 2 (171.0ms)

IterNodesCost
01321581
13421457
213711068
done50011068

prune253.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 4 expressions with local error:

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

rewrite792.0ms

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
24×associate-*r*
19×pow-prod-down
14×*-un-lft-identity associate-*l/
13×cbrt-prod
12×add-cube-cbrt
9×associate-*l*
8×unpow-prod-down
7×pow-to-exp pow-exp
6×associate-*r/
5×unswap-sqr
4×expm1-log1p-u flip3-- *-commutative flip-- log1p-expm1-u add-log-exp
2×unpow2 difference-of-squares sqr-pow
1×times-frac distribute-lft-out--
Counts
4 → 141
Calls
4 calls:
31.0ms
(* (- x (/ 16.0 116.0)) (pow (cbrt 3.0) 2))
149.0ms
(* (* (* (cbrt (cbrt 3.0)) (cbrt (cbrt 3.0))) (* (- x (/ 16.0 116.0)) (pow (cbrt 3.0) 2))) (cbrt (cbrt 3.0)))
562.0ms
(* (* (* (* (cbrt (cbrt 3.0)) (cbrt (cbrt 3.0))) (* (- x (/ 16.0 116.0)) (pow (cbrt 3.0) 2))) (cbrt (cbrt 3.0))) y)
44.0ms
(* (* (cbrt (cbrt 3.0)) (cbrt (cbrt 3.0))) (* (- x (/ 16.0 116.0)) (pow (cbrt 3.0) 2)))

series972.0ms

Counts
4 → 12
Calls
4 calls:
132.0ms
(* (- x (/ 16.0 116.0)) (pow (cbrt 3.0) 2))
150.0ms
(* (* (* (cbrt (cbrt 3.0)) (cbrt (cbrt 3.0))) (* (- x (/ 16.0 116.0)) (pow (cbrt 3.0) 2))) (cbrt (cbrt 3.0)))
115.0ms
(* (* (* (* (cbrt (cbrt 3.0)) (cbrt (cbrt 3.0))) (* (- x (/ 16.0 116.0)) (pow (cbrt 3.0) 2))) (cbrt (cbrt 3.0))) y)
574.0ms
(* (* (cbrt (cbrt 3.0)) (cbrt (cbrt 3.0))) (* (- x (/ 16.0 116.0)) (pow (cbrt 3.0) 2)))

simplify1.4s

Counts
153 → 153
Iterations

Useful iterations: 2 (712.0ms)

IterNodesCost
02143667
15653355
222622470
done50002470

prune391.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

regimes154.0ms

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

sample369.0ms

Algorithm
intervals
Results
219.0ms9143×body80valid