Details

Time bar (total: 10.9s)

sample65.0ms

Algorithm
intervals
Results
26.0ms61×body1280valid
11.0ms39×body640valid
7.0ms122×body80valid
5.0ms25×body320valid
1.0ms9×body160valid

simplify2.4s

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

localize13.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ 2 (+ 1 (exp (* -2 x))))
2.7b
(- (/ 2 (+ 1 (exp (* -2 x)))) 1)

rewrite58.0ms

Algorithm
rewrite-expression-head
Rules
23×*-un-lft-identity
22×add-sqr-sqrt
15×times-frac
11×add-cube-cbrt
4×associate-/r* add-cbrt-cube add-exp-log distribute-lft-out add-log-exp difference-of-squares
3×associate-/l*
2×pow1 difference-of-sqr-1 associate-/r/ insert-posit16
1×cbrt-undiv clear-num sub-neg frac-2neg flip3-+ flip3-- diff-log div-exp flip-+ div-inv flip-- distribute-lft-out--
Counts
2 → 54
Calls
2 calls:
10.0ms
(/ 2 (+ 1 (exp (* -2 x))))
47.0ms
(- (/ 2 (+ 1 (exp (* -2 x)))) 1)

series82.0ms

Counts
2 → 6
Calls
2 calls:
21.0ms
(/ 2 (+ 1 (exp (* -2 x))))
60.0ms
(- (/ 2 (+ 1 (exp (* -2 x)))) 1)

simplify1.2s

Counts
60 → 60
Iterations
IterNodes
done5018
31817
2579
1243
0107

prune295.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize49.0ms

Local error

Found 4 expressions with local error:

0.1b
(* (pow x 5) 2/15)
0.1b
(* x (* x x))
0.1b
(* -1/3 (* x (* x x)))
16.9b
(+ (* -1/3 (* x (* x x))) (* (pow x 5) 2/15))

rewrite132.0ms

Algorithm
rewrite-expression-head
Rules
27×pow1
23×add-exp-log
20×add-cbrt-cube
15×add-sqr-sqrt
13×associate-*l*
12×prod-exp
10×cbrt-unprod
9×*-un-lft-identity pow-prod-down add-cube-cbrt
6×add-log-exp
5×associate-*r* pow-prod-up
4×unpow-prod-down insert-posit16 unswap-sqr
3×*-commutative
2×sqr-pow
1×pow2 pow-to-exp +-commutative sum-log flip3-+ pow-plus cube-unmult pow-exp pow-sqr flip-+
Counts
4 → 85
Calls
4 calls:
8.0ms
(* (pow x 5) 2/15)
13.0ms
(* x (* x x))
46.0ms
(* -1/3 (* x (* x x)))
63.0ms
(+ (* -1/3 (* x (* x x))) (* (pow x 5) 2/15))

series365.0ms

Counts
4 → 12
Calls
4 calls:
65.0ms
(* (pow x 5) 2/15)
55.0ms
(* x (* x x))
63.0ms
(* -1/3 (* x (* x x)))
181.0ms
(+ (* -1/3 (* x (* x x))) (* (pow x 5) 2/15))

simplify1.3s

Counts
97 → 97
Iterations
IterNodes
done5000
21144
1321
0125

prune402.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ 2 (+ 1 (exp (* x -2))))
2.7b
(- (/ 2 (+ 1 (exp (* x -2)))) 1)

rewrite89.0ms

Algorithm
rewrite-expression-head
Rules
23×*-un-lft-identity
22×add-sqr-sqrt
15×times-frac
11×add-cube-cbrt
4×associate-/r* add-cbrt-cube add-exp-log distribute-lft-out add-log-exp difference-of-squares
3×associate-/l*
2×pow1 difference-of-sqr-1 associate-/r/ insert-posit16
1×cbrt-undiv clear-num sub-neg frac-2neg flip3-+ flip3-- diff-log div-exp flip-+ div-inv flip-- distribute-lft-out--
Counts
2 → 54
Calls
2 calls:
18.0ms
(/ 2 (+ 1 (exp (* x -2))))
69.0ms
(- (/ 2 (+ 1 (exp (* x -2)))) 1)

series106.0ms

Counts
2 → 6
Calls
2 calls:
34.0ms
(/ 2 (+ 1 (exp (* x -2))))
71.0ms
(- (/ 2 (+ 1 (exp (* x -2)))) 1)

simplify1.5s

Counts
60 → 60
Iterations
IterNodes
done5037
32086
2692
1248
0109

prune257.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0.0b

regimes105.0ms

Accuracy

100% (0.0b remaining)

Error of 0.0b against oracle of 0.0b and baseline of 31.3b

bsearch109.0ms

Steps
ItersRangePoint
8
0.0004981816479932727
5.220773054910798
0.008141227619400067
10
-0.5767180207385502
-1.7878892965255107e-15
-0.006778948484773374

simplify5.0ms

Iterations
IterNodes
done37
137
025

end0.0ms

sample2.3s

Algorithm
intervals
Results
1.2s1708×body1280valid
348.0ms1233×body640valid
313.0ms4112×body80valid
118.0ms625×body320valid
76.0ms322×body160valid