Details

Time bar (total: 11.0s)

sample30.0ms

Algorithm
intervals
Results
10.0ms46×body1280valid
5.0ms41×body640valid
3.0ms137×body80valid
2.0ms19×body320valid
1.0ms13×body160valid

simplify2.8s

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0910
11510
22210
33010
45310
511110
625710
788610
8360010
done500010

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 27.9b

localize12.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ 2.0 (+ 1.0 (exp (* -2.0 x))))
3.9b
(- (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) 1.0)

rewrite38.0ms

Algorithm
rewrite-expression-head
Rules
21×*-un-lft-identity
16×add-sqr-sqrt
13×times-frac
11×add-cube-cbrt
4×add-exp-log associate-/r* add-cbrt-cube distribute-lft-out add-log-exp
3×associate-/l*
2×pow1 associate-/r/ difference-of-squares
1×cbrt-undiv sub-neg flip3-- frac-2neg flip3-+ diff-log div-exp clear-num flip-- flip-+ div-inv distribute-lft-out--
Counts
2 → 48
Calls
2 calls:
6.0ms
(/ 2.0 (+ 1.0 (exp (* -2.0 x))))
31.0ms
(- (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) 1.0)

series118.0ms

Counts
2 → 6
Calls
2 calls:
36.0ms
(/ 2.0 (+ 1.0 (exp (* -2.0 x))))
81.0ms
(- (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) 1.0)

simplify833.0ms

Counts
54 → 54
Iterations

Useful iterations: 3 (225.0ms)

IterNodesCost
0103791
1221754
2498712
31656705
done5001705

prune119.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) 1.0)
0.0b
(/ (- (* (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) (/ 2.0 (+ 1.0 (exp (* -2.0 x))))) (* 1.0 1.0)) (+ (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) 1.0))
0.0b
(* (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) (/ 2.0 (+ 1.0 (exp (* -2.0 x)))))
3.9b
(- (* (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) (/ 2.0 (+ 1.0 (exp (* -2.0 x))))) (* 1.0 1.0))

rewrite132.0ms

Algorithm
rewrite-expression-head
Rules
104×*-un-lft-identity
80×times-frac
62×add-sqr-sqrt
50×add-cube-cbrt
24×swap-sqr distribute-lft-out
18×add-exp-log associate-*r* associate-*l* add-cbrt-cube
11×pow1
10×associate-/r/
8×add-log-exp
6×flip3-+ flip-+ difference-of-squares
5×cbrt-undiv div-exp div-inv
4×prod-exp associate-/r* cbrt-unprod associate-/l* unswap-sqr
2×flip3-- flip-- associate-/l/
1×+-commutative pow2 frac-times sub-neg frac-2neg pow-plus diff-log div-sub associate-*r/ pow-prod-down associate-*l/ clear-num sum-log pow-sqr *-commutative pow-prod-up
Counts
4 → 154
Calls
4 calls:
23.0ms
(+ (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) 1.0)
60.0ms
(/ (- (* (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) (/ 2.0 (+ 1.0 (exp (* -2.0 x))))) (* 1.0 1.0)) (+ (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) 1.0))
31.0ms
(* (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) (/ 2.0 (+ 1.0 (exp (* -2.0 x)))))
12.0ms
(- (* (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) (/ 2.0 (+ 1.0 (exp (* -2.0 x))))) (* 1.0 1.0))

series383.0ms

Counts
4 → 12
Calls
4 calls:
60.0ms
(+ (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) 1.0)
192.0ms
(/ (- (* (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) (/ 2.0 (+ 1.0 (exp (* -2.0 x))))) (* 1.0 1.0)) (+ (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) 1.0))
47.0ms
(* (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) (/ 2.0 (+ 1.0 (exp (* -2.0 x)))))
84.0ms
(- (* (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) (/ 2.0 (+ 1.0 (exp (* -2.0 x))))) (* 1.0 1.0))

simplify1.3s

Counts
166 → 166
Iterations

Useful iterations: done (1.2s)

IterNodesCost
02495034
17254565
230983725
done50013715

prune364.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize17.0ms

Local error

Found 4 expressions with local error:

0.0b
(* (- (* (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) (/ 2.0 (+ 1.0 (exp (* -2.0 x))))) (* 1.0 1.0)) (/ 1 (+ (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) 1.0)))
0.0b
(/ 1 (+ (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) 1.0))
0.0b
(* (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) (/ 2.0 (+ 1.0 (exp (* -2.0 x)))))
3.9b
(- (* (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) (/ 2.0 (+ 1.0 (exp (* -2.0 x))))) (* 1.0 1.0))

rewrite189.0ms

Algorithm
rewrite-expression-head
Rules
115×*-un-lft-identity
90×times-frac
77×add-sqr-sqrt
58×add-cube-cbrt
36×associate-*r*
29×add-exp-log
25×distribute-lft-out
24×swap-sqr
23×add-cbrt-cube
22×associate-*l*
14×pow1
12×associate-/r/
8×div-exp prod-exp
7×unswap-sqr
6×cbrt-undiv flip3-+ cbrt-unprod flip-+ div-inv add-log-exp
4×associate-/r*
3×frac-times flip3-- associate-*l/ flip-- associate-/l*
2×rec-exp 1-exp associate-*r/ pow-prod-down *-commutative difference-of-squares
1×pow2 sub-neg pow-flip frac-2neg pow-plus diff-log clear-num pow-sqr un-div-inv pow-prod-up inv-pow
Counts
4 → 184
Calls
4 calls:
106.0ms
(* (- (* (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) (/ 2.0 (+ 1.0 (exp (* -2.0 x))))) (* 1.0 1.0)) (/ 1 (+ (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) 1.0)))
34.0ms
(/ 1 (+ (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) 1.0))
31.0ms
(* (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) (/ 2.0 (+ 1.0 (exp (* -2.0 x)))))
10.0ms
(- (* (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) (/ 2.0 (+ 1.0 (exp (* -2.0 x))))) (* 1.0 1.0))

series385.0ms

Counts
4 → 12
Calls
4 calls:
201.0ms
(* (- (* (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) (/ 2.0 (+ 1.0 (exp (* -2.0 x))))) (* 1.0 1.0)) (/ 1 (+ (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) 1.0)))
52.0ms
(/ 1 (+ (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) 1.0))
47.0ms
(* (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) (/ 2.0 (+ 1.0 (exp (* -2.0 x)))))
85.0ms
(- (* (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) (/ 2.0 (+ 1.0 (exp (* -2.0 x))))) (* 1.0 1.0))

simplify1.8s

Counts
196 → 196
Iterations

Useful iterations: 2 (464.0ms)

IterNodesCost
02795546
17944885
235753911
done50003911

prune403.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (* 1.0 x) (+ (* 4.996003610813204e-16 (pow x 4)) (* 0.3333333333333335 (pow x 3))))
0.1b
(* 0.3333333333333335 (pow x 3))
0.9b
(* 4.996003610813204e-16 (pow x 4))
8.0b
(+ (* 4.996003610813204e-16 (pow x 4)) (* 0.3333333333333335 (pow x 3)))

rewrite23.0ms

Algorithm
rewrite-expression-head
Rules
23×add-sqr-sqrt
19×associate-*r*
14×add-exp-log
11×add-cube-cbrt *-un-lft-identity add-log-exp
8×unpow-prod-down add-cbrt-cube
7×unswap-sqr
6×associate-*l* prod-exp
4×pow1 cube-prod sqr-pow
2×pow-to-exp diff-log pow-exp sum-log *-commutative cbrt-unprod
1×+-commutative cube-mult sub-neg flip3-- flip3-+ unpow3 flip-- flip-+ associate--r+
Counts
4 → 81
Calls
4 calls:
6.0ms
(- (* 1.0 x) (+ (* 4.996003610813204e-16 (pow x 4)) (* 0.3333333333333335 (pow x 3))))
7.0ms
(* 0.3333333333333335 (pow x 3))
5.0ms
(* 4.996003610813204e-16 (pow x 4))
3.0ms
(+ (* 4.996003610813204e-16 (pow x 4)) (* 0.3333333333333335 (pow x 3)))

series240.0ms

Counts
4 → 12
Calls
4 calls:
48.0ms
(- (* 1.0 x) (+ (* 4.996003610813204e-16 (pow x 4)) (* 0.3333333333333335 (pow x 3))))
38.0ms
(* 0.3333333333333335 (pow x 3))
47.0ms
(* 4.996003610813204e-16 (pow x 4))
106.0ms
(+ (* 4.996003610813204e-16 (pow x 4)) (* 0.3333333333333335 (pow x 3)))

simplify584.0ms

Counts
93 → 93
Iterations

Useful iterations: 2 (150.0ms)

IterNodesCost
01391119
1345995
21216942
done5001942

prune193.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes144.0ms

Accuracy

99.7% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 29.0b

bsearch1.0ms

simplify3.0ms

Iterations

Useful iterations: 1 (2.0ms)

IterNodesCost
03295
14562
done4562

end0.0ms

sample852.0ms

Algorithm
intervals
Results
342.0ms1636×body1280valid
171.0ms1270×body640valid
114.0ms4140×body80valid
58.0ms633×body320valid
19.0ms321×body160valid