Details

Time bar (total: 10.8s)

sample49.0ms

Algorithm
intervals
Results
19.0ms61×body1280valid
9.0ms44×body640valid
6.0ms122×body80valid
3.0ms22×body320valid
1.0msbody160valid

simplify2.9s

Counts
1 → 1
Iterations
IterNodes
done5001
83027
7794
6244
5100
450
329
222
118
09

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 31.7b

localize12.0ms

Local error

Found 1 expressions with local error:

2.7b
(- (/ 2 (+ 1 (exp (* -2 x)))) 1)

rewrite65.0ms

Algorithm
rewrite-expression-head
Rules
12×add-sqr-sqrt
*-un-lft-identity
difference-of-squares
times-frac add-log-exp
difference-of-sqr-1
pow1 sub-neg flip3-- add-cbrt-cube diff-log add-exp-log add-cube-cbrt insert-posit16 flip-- distribute-lft-out--
Counts
1 → 20
Calls
1 calls:
65.0ms
(- (/ 2 (+ 1 (exp (* -2 x)))) 1)

series79.0ms

Counts
1 → 3
Calls
1 calls:
78.0ms
(- (/ 2 (+ 1 (exp (* -2 x)))) 1)

simplify2.6s

Counts
23 → 23
Iterations
IterNodes
done5045
53253
41425
3609
2282
1133
058

prune85.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize27.0ms

Local error

Found 4 expressions with local error:

0.0b
(* (pow x 5) 2/15)
0.1b
(* (* x x) x)
0.3b
(* (* (* x x) x) -1/3)
18.3b
(+ (+ x (* (pow x 5) 2/15)) (* (* (* x x) x) -1/3))

rewrite174.0ms

Algorithm
rewrite-expression-head
Rules
32×pow1
23×add-exp-log
20×add-cbrt-cube
15×add-sqr-sqrt
12×prod-exp
10×cbrt-unprod
*-un-lft-identity associate-*r* associate-*l* pow-prod-down add-cube-cbrt add-log-exp
pow-plus pow-prod-up
unpow-prod-down insert-posit16 unswap-sqr
sum-log *-commutative
pow2 pow-sqr sqr-pow
pow-to-exp +-commutative associate-+l+ flip3-+ pow3 pow-exp flip-+
Counts
4 → 91
Calls
4 calls:
20.0ms
(* (pow x 5) 2/15)
31.0ms
(* (* x x) x)
68.0ms
(* (* (* x x) x) -1/3)
52.0ms
(+ (+ x (* (pow x 5) 2/15)) (* (* (* x x) x) -1/3))

series304.0ms

Counts
4 → 12
Calls
4 calls:
92.0ms
(* (pow x 5) 2/15)
69.0ms
(* (* x x) x)
49.0ms
(* (* (* x x) x) -1/3)
93.0ms
(+ (+ x (* (pow x 5) 2/15)) (* (* (* x x) x) -1/3))

simplify1.5s

Counts
103 → 103
Iterations
IterNodes
done5000
21147
1337
0133

prune386.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes290.0ms

Accuracy

99.8% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 31.2b

bsearch2.0ms

simplify7.0ms

Iterations
IterNodes
done37
137
025

end0.0ms

sample2.3s

Algorithm
intervals
Results
1.3s1702×body1280valid
441.0ms1285×body640valid
219.0ms4092×body80valid
161.0ms602×body320valid
45.0ms319×body160valid