Details

Time bar (total: 7.0s)

sample15.0ms

Algorithm
intervals
Results
7.0ms292×body80valid

simplify394.0ms

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

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)

rewrite62.0ms

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:
25.0ms
(* (- x (/ 16.0 116.0)) 3.0)
35.0ms
(* (* (- x (/ 16.0 116.0)) 3.0) y)

series82.0ms

Counts
2 → 6
Calls
2 calls:
45.0ms
(* (- x (/ 16.0 116.0)) 3.0)
37.0ms
(* (* (- x (/ 16.0 116.0)) 3.0) y)

simplify1.7s

Counts
53 → 53
Iterations

Useful iterations: 2 (80.0ms)

IterNodesCost
088576
1205568
2712480
32875480
done5000480

prune105.0ms

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)) (* y 3.0))

rewrite30.0ms

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

series41.0ms

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

simplify1.0s

Counts
28 → 28
Iterations

Useful iterations: 2 (49.0ms)

IterNodesCost
064342
1166339
2532279
31951279
done5001279

prune55.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize6.0ms

Local error

Found 2 expressions with local error:

0.1b
(* (- x (/ 16.0 116.0)) y)
0.3b
(* (* (- x (/ 16.0 116.0)) y) 3.0)

rewrite61.0ms

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:
29.0ms
(* (- x (/ 16.0 116.0)) y)
31.0ms
(* (* (- x (/ 16.0 116.0)) y) 3.0)

series71.0ms

Counts
2 → 6
Calls
2 calls:
33.0ms
(* (- x (/ 16.0 116.0)) y)
37.0ms
(* (* (- x (/ 16.0 116.0)) y) 3.0)

simplify1.5s

Counts
53 → 53
Iterations

Useful iterations: 2 (83.0ms)

IterNodesCost
089582
1209568
2726480
32892480
done5000480

prune98.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (* x x) (* (/ 16.0 116.0) (/ 16.0 116.0)))
0.3b
(* (/ (* (- (* x x) (* (/ 16.0 116.0) (/ 16.0 116.0))) y) (+ x (/ 16.0 116.0))) 3.0)
4.9b
(* (- (* x x) (* (/ 16.0 116.0) (/ 16.0 116.0))) y)
7.7b
(/ (* (- (* x x) (* (/ 16.0 116.0) (/ 16.0 116.0))) y) (+ x (/ 16.0 116.0)))

rewrite76.0ms

Algorithm
rewrite-expression-head
Rules
20×add-exp-log add-cbrt-cube
17×*-un-lft-identity
15×add-sqr-sqrt
14×associate-*l*
11×add-cube-cbrt
8×pow1 times-frac
6×associate-*r* prod-exp cbrt-unprod add-log-exp
5×associate-*l/
4×cbrt-undiv expm1-log1p-u div-exp associate-/r* associate-/r/ log1p-expm1-u
3×flip3-- flip-- distribute-lft-out
2×flip3-+ pow-prod-down *-commutative flip-+ div-inv associate-/l/ difference-of-squares unswap-sqr
1×sub-neg frac-2neg fma-neg diff-log prod-diff clear-num associate-/l*
Counts
4 → 101
Calls
4 calls:
3.0ms
(- (* x x) (* (/ 16.0 116.0) (/ 16.0 116.0)))
41.0ms
(* (/ (* (- (* x x) (* (/ 16.0 116.0) (/ 16.0 116.0))) y) (+ x (/ 16.0 116.0))) 3.0)
10.0ms
(* (- (* x x) (* (/ 16.0 116.0) (/ 16.0 116.0))) y)
18.0ms
(/ (* (- (* x x) (* (/ 16.0 116.0) (/ 16.0 116.0))) y) (+ x (/ 16.0 116.0)))

series218.0ms

Counts
4 → 12
Calls
4 calls:
44.0ms
(- (* x x) (* (/ 16.0 116.0) (/ 16.0 116.0)))
67.0ms
(* (/ (* (- (* x x) (* (/ 16.0 116.0) (/ 16.0 116.0))) y) (+ x (/ 16.0 116.0))) 3.0)
43.0ms
(* (- (* x x) (* (/ 16.0 116.0) (/ 16.0 116.0))) y)
64.0ms
(/ (* (- (* x x) (* (/ 16.0 116.0) (/ 16.0 116.0))) y) (+ x (/ 16.0 116.0)))

simplify690.0ms

Counts
113 → 113
Iterations

Useful iterations: 2 (182.0ms)

IterNodesCost
01632349
14472271
218561870
done50011870

prune235.0ms

Pruning

6 alts after pruning (2 fresh and 4 done)

Merged error: 0b

regimes105.0ms

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

sample338.0ms

Algorithm
intervals
Results
199.0ms9143×body80valid