Details

Time bar (total: 28.3s)

sample131.0ms

Algorithm
intervals
Results
55.0ms101×body1280valid
34.0ms82×body640valid
17.0ms293×body80valid
10.0ms43×body320valid
3.0ms19×body160valid

simplify27.0ms

Counts
1 → 1
Iterations
IterNodes
738
638
537
435
331
224
114
07

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 57.3b

localize16.0ms

Local error

Found 1 expressions with local error:

5.2b
(- (exp x) (exp (- x)))

rewrite27.0ms

Algorithm
rewrite-expression-head
Rules
add-sqr-sqrt *-un-lft-identity add-log-exp
pow1 sub-neg flip3-- add-cbrt-cube diff-log add-exp-log add-cube-cbrt insert-posit16 flip-- distribute-lft-out-- difference-of-squares
Counts
1 → 15
Calls
1 calls:
27.0ms
(- (exp x) (exp (- x)))

series55.0ms

Counts
1 → 3
Calls
1 calls:
54.0ms
(- (exp x) (exp (- x)))

simplify2.9s

Counts
18 → 18
Iterations
IterNodes
55349
41659
3631
2259
1111
047

prune165.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize21.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (* (+ 2 (* 1/3 (* x x))) x) (* 1/60 (pow x 5)))
0.0b
(* (+ 2 (* 1/3 (* x x))) x)
0.1b
(* 1/60 (pow x 5))
0.2b
(* 1/3 (* x x))

rewrite46.0ms

Algorithm
rewrite-expression-head
Rules
18×add-sqr-sqrt
16×add-exp-log
13×add-cbrt-cube
11×pow1 associate-*r*
10×*-un-lft-identity add-cube-cbrt
associate-*l*
prod-exp
add-log-exp
cbrt-unprod unswap-sqr
unpow-prod-down pow-prod-down insert-posit16
*-commutative
flip3-+ associate-*l/ flip-+ sqr-pow
pow-to-exp +-commutative sum-log pow-exp
Counts
4 → 79
Calls
4 calls:
11.0ms
(+ (* (+ 2 (* 1/3 (* x x))) x) (* 1/60 (pow x 5)))
14.0ms
(* (+ 2 (* 1/3 (* x x))) x)
8.0ms
(* 1/60 (pow x 5))
13.0ms
(* 1/3 (* x x))

series286.0ms

Counts
4 → 12
Calls
4 calls:
78.0ms
(+ (* (+ 2 (* 1/3 (* x x))) x) (* 1/60 (pow x 5)))
105.0ms
(* (+ 2 (* 1/3 (* x x))) x)
60.0ms
(* 1/60 (pow x 5))
42.0ms
(* 1/3 (* x x))

simplify2.9s

Counts
91 → 91
Iterations
IterNodes
35554
21193
1369
0138

prune897.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize91.0ms

Local error

Found 4 expressions with local error:

0.2b
(* 1/3 (* x x))
0.2b
(* 1/3 (* x x))
0.2b
(* 1/3 (* x x))
0.2b
(* 1/3 (* x x))

rewrite84.0ms

Algorithm
rewrite-expression-head
Rules
24×pow1 add-cbrt-cube add-exp-log
12×add-sqr-sqrt associate-*l* pow-prod-down prod-exp cbrt-unprod
*-un-lft-identity add-cube-cbrt
associate-*r* *-commutative insert-posit16 add-log-exp unswap-sqr
Counts
4 → 80
Calls
4 calls:
27.0ms
(* 1/3 (* x x))
12.0ms
(* 1/3 (* x x))
12.0ms
(* 1/3 (* x x))
30.0ms
(* 1/3 (* x x))

series167.0ms

Counts
4 → 12
Calls
4 calls:
44.0ms
(* 1/3 (* x x))
37.0ms
(* 1/3 (* x x))
47.0ms
(* 1/3 (* x x))
40.0ms
(* 1/3 (* x x))

simplify6.0s

Counts
92 → 92
Iterations
IterNodes
45202
31203
2269
189
035

prune1.3s

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

localize74.0ms

Local error

Found 4 expressions with local error:

0.2b
(* 1/3 (* x x))
0.2b
(* 1/3 (* x x))
0.2b
(* 1/3 (* x x))
3.5b
(log (exp (* 1/3 (* x x))))

rewrite43.0ms

Algorithm
rewrite-expression-head
Rules
20×pow1
19×add-cbrt-cube add-exp-log
11×add-sqr-sqrt
associate-*l* pow-prod-down prod-exp cbrt-unprod
*-un-lft-identity add-cube-cbrt
add-log-exp
insert-posit16
log-prod associate-*r* log-pow *-commutative unswap-sqr
exp-prod exp-to-pow rem-log-exp
Counts
4 → 75
Calls
4 calls:
12.0ms
(* 1/3 (* x x))
13.0ms
(* 1/3 (* x x))
13.0ms
(* 1/3 (* x x))
5.0ms
(log (exp (* 1/3 (* x x))))

series151.0ms

Counts
4 → 12
Calls
4 calls:
44.0ms
(* 1/3 (* x x))
45.0ms
(* 1/3 (* x x))
29.0ms
(* 1/3 (* x x))
32.0ms
(log (exp (* 1/3 (* x x))))

simplify6.3s

Counts
87 → 87
Iterations
IterNodes
46019
31644
2340
1121
054

prune1.2s

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0.0b

regimes156.0ms

Accuracy

0% (0.6b remaining)

Error of 0.6b against oracle of 0.0b and baseline of 0.6b

bsearch0.0ms

simplify5.0ms

Iterations
IterNodes
232
132
023

end0.0ms

sample5.2s

Algorithm
intervals
Results
2.8s3445×body1280valid
1.1s2412×body640valid
592.0ms7991×body80valid
370.0ms1231×body320valid
104.0ms636×body160valid