Details

Time bar (total: 35.6s)

sample35.0ms

Algorithm
intervals
Results
10.0ms296×body80valid

simplify1.3s

Counts
1 → 1
Iterations
IterNodes
done455
10455
9454
8438
7393
6337
5254
4168
375
230
115
09

prune18.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize32.0ms

Local error

Found 2 expressions with local error:

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

rewrite162.0ms

Algorithm
rewrite-expression-head
Rules
12×add-sqr-sqrt
pow1 add-cbrt-cube add-exp-log
*-un-lft-identity associate-*l*
associate-*r* associate-*l/
add-cube-cbrt
pow-prod-down prod-exp cbrt-unprod
expm1-log1p-u flip3-- *-commutative insert-posit16 log1p-expm1-u flip-- add-log-exp difference-of-squares
times-frac distribute-lft-out-- unswap-sqr
Counts
2 → 49
Calls
2 calls:
81.0ms
(* (- x (/ 16.0 116.0)) 3.0)
75.0ms
(* (* (- x (/ 16.0 116.0)) 3.0) y)

series172.0ms

Counts
2 → 6
Calls
2 calls:
86.0ms
(* (- x (/ 16.0 116.0)) 3.0)
85.0ms
(* (* (- x (/ 16.0 116.0)) 3.0) y)

simplify5.6s

Counts
55 → 55
Iterations
IterNodes
done5000
32703
2655
1215
090

prune612.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize25.0ms

Local error

Found 1 expressions with local error:

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

rewrite110.0ms

Algorithm
rewrite-expression-head
Rules
add-sqr-sqrt
pow1 add-cbrt-cube associate-*l* add-exp-log
*-un-lft-identity
pow-prod-down prod-exp cbrt-unprod
associate-*l/ add-cube-cbrt difference-of-squares
expm1-log1p-u times-frac flip3-- associate-*r* *-commutative insert-posit16 log1p-expm1-u flip-- distribute-lft-out-- add-log-exp
Counts
1 → 26
Calls
1 calls:
107.0ms
(* (- x (/ 16.0 116.0)) (* 3.0 y))

series84.0ms

Counts
1 → 3
Calls
1 calls:
83.0ms
(* (- x (/ 16.0 116.0)) (* 3.0 y))

simplify3.8s

Counts
29 → 29
Iterations
IterNodes
done5037
32116
2535
1167
065

prune262.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize35.0ms

Local error

Found 3 expressions with local error:

0.0b
(* (- 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)
0.8b
(* (* (- x (/ 16.0 116.0)) (* (cbrt 3.0) (cbrt 3.0))) (cbrt 3.0))

rewrite1.2s

Algorithm
rewrite-expression-head
Rules
31×pow1 add-exp-log
19×add-cbrt-cube pow-prod-down prod-exp cbrt-unprod
13×add-sqr-sqrt
12×associate-*l/
10×associate-*r*
*-un-lft-identity
associate-*l*
add-cube-cbrt
cbrt-prod expm1-log1p-u flip3-- *-commutative insert-posit16 log1p-expm1-u flip-- add-log-exp
difference-of-squares
times-frac distribute-lft-out-- unswap-sqr
Counts
3 → 85
Calls
3 calls:
143.0ms
(* (- x (/ 16.0 116.0)) (* (cbrt 3.0) (cbrt 3.0)))
774.0ms
(* (* (* (- x (/ 16.0 116.0)) (* (cbrt 3.0) (cbrt 3.0))) (cbrt 3.0)) y)
260.0ms
(* (* (- x (/ 16.0 116.0)) (* (cbrt 3.0) (cbrt 3.0))) (cbrt 3.0))

series536.0ms

Counts
3 → 9
Calls
3 calls:
194.0ms
(* (- x (/ 16.0 116.0)) (* (cbrt 3.0) (cbrt 3.0)))
132.0ms
(* (* (* (- x (/ 16.0 116.0)) (* (cbrt 3.0) (cbrt 3.0))) (cbrt 3.0)) y)
210.0ms
(* (* (- x (/ 16.0 116.0)) (* (cbrt 3.0) (cbrt 3.0))) (cbrt 3.0))

simplify7.8s

Counts
94 → 94
Iterations
IterNodes
done5000
34242
21069
1347
0135

prune812.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

localize50.0ms

Local error

Found 3 expressions with local error:

0.0b
(* (- x (/ 16.0 116.0)) (* (cbrt 3.0) (cbrt 3.0)))
0.4b
(* (cbrt 3.0) y)
0.4b
(* (* (- x (/ 16.0 116.0)) (* (cbrt 3.0) (cbrt 3.0))) (* (cbrt 3.0) y))

rewrite342.0ms

Algorithm
rewrite-expression-head
Rules
31×pow1 add-exp-log
21×add-cbrt-cube
19×pow-prod-down prod-exp cbrt-unprod
17×add-sqr-sqrt
13×associate-*l*
*-un-lft-identity
add-cube-cbrt
associate-*l/
associate-*r*
cbrt-prod
expm1-log1p-u *-commutative insert-posit16 log1p-expm1-u add-log-exp unswap-sqr
flip3-- flip-- difference-of-squares
times-frac distribute-lft-out--
Counts
3 → 85
Calls
3 calls:
91.0ms
(* (- x (/ 16.0 116.0)) (* (cbrt 3.0) (cbrt 3.0)))
19.0ms
(* (cbrt 3.0) y)
226.0ms
(* (* (- x (/ 16.0 116.0)) (* (cbrt 3.0) (cbrt 3.0))) (* (cbrt 3.0) y))

series458.0ms

Counts
3 → 9
Calls
3 calls:
200.0ms
(* (- x (/ 16.0 116.0)) (* (cbrt 3.0) (cbrt 3.0)))
93.0ms
(* (cbrt 3.0) y)
164.0ms
(* (* (- x (/ 16.0 116.0)) (* (cbrt 3.0) (cbrt 3.0))) (* (cbrt 3.0) y))

simplify9.7s

Counts
94 → 94
Iterations
IterNodes
done5000
34968
21201
1343
0127

prune754.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

regimes1.1s

Accuracy

0% (0.2b remaining)

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

bsearch0.0ms

simplify8.0ms

Iterations
IterNodes
done11
111
09

end0.0ms

sample725.0ms

Algorithm
intervals
Results
411.0ms9110×body80valid