Details

Time bar (total: 8.6s)

sample41.0ms

Algorithm
intervals
Results
20.0ms293×body80valid

simplify685.0ms

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

prune10.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

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)

rewrite123.0ms

Algorithm
rewrite-expression-head
Rules
12×add-sqr-sqrt
9×pow1 add-cbrt-cube add-exp-log
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:
63.0ms
(* (- x (/ 16.0 116.0)) 3.0)
58.0ms
(* (* (- x (/ 16.0 116.0)) 3.0) y)

series102.0ms

Counts
2 → 6
Calls
2 calls:
45.0ms
(* (- x (/ 16.0 116.0)) 3.0)
56.0ms
(* (* (- x (/ 16.0 116.0)) 3.0) y)

simplify661.0ms

Counts
49 → 49
Iterations
IterNodes
done5000
21092
1205
084

prune232.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0b

localize15.0ms

Local error

Found 2 expressions with local error:

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

rewrite108.0ms

Algorithm
rewrite-expression-head
Rules
12×add-sqr-sqrt
9×pow1 add-cbrt-cube associate-*r* add-exp-log
7×*-un-lft-identity
5×add-cube-cbrt
4×associate-*l* pow-prod-down prod-exp associate-*r/ cbrt-unprod
2×distribute-rgt-in sub-neg distribute-lft-in flip3-- associate-*l/ *-commutative flip-- add-log-exp difference-of-squares
1×times-frac distribute-lft-out-- unswap-sqr
Counts
2 → 47
Calls
2 calls:
46.0ms
(* y (- x (/ 16.0 116.0)))
59.0ms
(* (* y (- x (/ 16.0 116.0))) 3.0)

series144.0ms

Counts
2 → 6
Calls
2 calls:
61.0ms
(* y (- x (/ 16.0 116.0)))
83.0ms
(* (* y (- x (/ 16.0 116.0))) 3.0)

simplify700.0ms

Counts
53 → 53
Iterations
IterNodes
done5000
21015
1233
089

prune235.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

localize15.0ms

Local error

Found 1 expressions with local error:

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

rewrite66.0ms

Algorithm
rewrite-expression-head
Rules
7×add-sqr-sqrt
6×pow1 add-cbrt-cube associate-*l* add-exp-log
4×*-un-lft-identity
3×pow-prod-down prod-exp cbrt-unprod
2×associate-*l/ add-cube-cbrt difference-of-squares
1×times-frac flip3-- associate-*r* *-commutative flip-- distribute-lft-out-- add-log-exp
Counts
1 → 23
Calls
1 calls:
65.0ms
(* (- x (/ 16.0 116.0)) (* y 3.0))

series58.0ms

Counts
1 → 3
Calls
1 calls:
58.0ms
(* (- x (/ 16.0 116.0)) (* y 3.0))

simplify1.5s

Counts
26 → 26
Iterations
IterNodes
done5001
32675
2563
1161
062

prune194.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0b

localize32.0ms

Local error

Found 4 expressions with local error:

0.0b
(* (+ (/ 16.0 116.0) x) (- x (/ 16.0 116.0)))
0.7b
(* (* (+ (/ 16.0 116.0) x) (- x (/ 16.0 116.0))) 3.0)
3.7b
(* (* (* (+ (/ 16.0 116.0) x) (- x (/ 16.0 116.0))) 3.0) y)
7.8b
(/ (* (* (* (+ (/ 16.0 116.0) x) (- x (/ 16.0 116.0))) 3.0) y) (+ x (/ 16.0 116.0)))

rewrite1.1s

Algorithm
rewrite-expression-head
Rules
48×associate-*l/
34×add-cbrt-cube add-exp-log
20×pow1
18×*-un-lft-identity
17×add-sqr-sqrt
16×frac-times prod-exp cbrt-unprod
13×flip3-+ flip-+
12×flip3-- associate-*r* flip--
10×pow-prod-down add-cube-cbrt
8×associate-*r/ associate-/l/
6×associate-*l*
5×times-frac
4×cbrt-undiv associate-/r* div-exp add-log-exp
3×*-commutative distribute-lft-out
2×distribute-rgt-in sub-neg distribute-lft-in associate-/r/ difference-of-squares
1×clear-num frac-2neg div-inv associate-/l* distribute-lft-out-- unswap-sqr
Counts
4 → 126
Calls
4 calls:
79.0ms
(* (+ (/ 16.0 116.0) x) (- x (/ 16.0 116.0)))
90.0ms
(* (* (+ (/ 16.0 116.0) x) (- x (/ 16.0 116.0))) 3.0)
458.0ms
(* (* (* (+ (/ 16.0 116.0) x) (- x (/ 16.0 116.0))) 3.0) y)
470.0ms
(/ (* (* (* (+ (/ 16.0 116.0) x) (- x (/ 16.0 116.0))) 3.0) y) (+ x (/ 16.0 116.0)))

series406.0ms

Counts
4 → 12
Calls
4 calls:
136.0ms
(* (+ (/ 16.0 116.0) x) (- x (/ 16.0 116.0)))
132.0ms
(* (* (+ (/ 16.0 116.0) x) (- x (/ 16.0 116.0))) 3.0)
92.0ms
(* (* (* (+ (/ 16.0 116.0) x) (- x (/ 16.0 116.0))) 3.0) y)
46.0ms
(/ (* (* (* (+ (/ 16.0 116.0) x) (- x (/ 16.0 116.0))) 3.0) y) (+ x (/ 16.0 116.0)))

simplify453.0ms

Counts
138 → 138
Iterations
IterNodes
done5001
1614
0203

prune722.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

regimes265.0ms

Accuracy

0% (0.2b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations
IterNodes
done11
111
09

end0.0ms

sample777.0ms

Algorithm
intervals
Results
476.0ms9151×body80valid