Details

Time bar (total: 18.8s)

sample73.0ms

Algorithm
intervals
Results
25.0ms54×body1280valid
13.0ms42×body640valid
7.0ms120×body80valid
5.0ms26×body320valid
2.0ms14×body160valid

simplify3.8s

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
09234
115234
222234
330234
453234
5117234
6440234
73510234
done5001234

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 31.9b

localize24.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ 2.0 (+ 1.0 (exp (* -2.0 x))))
0.0b
(+ 1.0 (exp (* -2.0 x)))
3.4b
(- (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) 1.0)

rewrite111.0ms

Algorithm
rewrite-expression-head
Rules
24×*-un-lft-identity
17×add-sqr-sqrt
13×times-frac
12×add-cube-cbrt
7×add-log-exp
5×add-cbrt-cube add-exp-log distribute-lft-out
4×associate-/r*
3×pow1 associate-/l*
2×flip3-+ associate-/r/ flip-+ difference-of-squares
1×cbrt-undiv +-commutative clear-num sum-log sub-neg frac-2neg flip3-- diff-log div-exp div-inv flip-- distribute-lft-out--
Counts
3 → 60
Calls
3 calls:
12.0ms
(/ 2.0 (+ 1.0 (exp (* -2.0 x))))
11.0ms
(+ 1.0 (exp (* -2.0 x)))
87.0ms
(- (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) 1.0)

series208.0ms

Counts
3 → 9
Calls
3 calls:
66.0ms
(/ 2.0 (+ 1.0 (exp (* -2.0 x))))
28.0ms
(+ 1.0 (exp (* -2.0 x)))
114.0ms
(- (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) 1.0)

simplify3.0s

Counts
69 → 69
Iterations

Useful iterations: 3 (1.4s)

IterNodesCost
011622761
126120718
292720556
3465020358
done500120358

prune339.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize18.0ms

Local error

Found 4 expressions with local error:

0.1b
(* (* x x) (* x x))
0.2b
(* (* x x) 0.33333333333333337)
0.9b
(* 5.551115123125783e-17 (* (* x x) (* x x)))
9.6b
(- (* x (- 1.0 (* (* x x) 0.33333333333333337))) (* 5.551115123125783e-17 (* (* x x) (* x x))))

rewrite209.0ms

Algorithm
rewrite-expression-head
Rules
138×pow1
39×add-cbrt-cube pow-prod-down add-exp-log
36×pow-prod-up
24×prod-exp cbrt-unprod
22×pow-sqr
18×pow-plus
13×pow2
8×add-sqr-sqrt
6×*-un-lft-identity add-cube-cbrt add-log-exp
5×associate-*r* associate-*l*
4×associate--l+
3×sub-neg *-commutative unswap-sqr
2×distribute-rgt-in distribute-lft-in
1×flip3-- diff-log swap-sqr flip--
Counts
4 → 126
Calls
4 calls:
26.0ms
(* (* x x) (* x x))
17.0ms
(* (* x x) 0.33333333333333337)
103.0ms
(* 5.551115123125783e-17 (* (* x x) (* x x)))
56.0ms
(- (* x (- 1.0 (* (* x x) 0.33333333333333337))) (* 5.551115123125783e-17 (* (* x x) (* x x))))

series202.0ms

Counts
4 → 12
Calls
4 calls:
50.0ms
(* (* x x) (* x x))
37.0ms
(* (* x x) 0.33333333333333337)
48.0ms
(* 5.551115123125783e-17 (* (* x x) (* x x)))
67.0ms
(- (* x (- 1.0 (* (* x x) 0.33333333333333337))) (* 5.551115123125783e-17 (* (* x x) (* x x))))

simplify3.7s

Counts
138 → 138
Iterations

Useful iterations: done (3.7s)

IterNodesCost
013224734
141318807
2296418092
done500117972

prune365.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize46.0ms

Local error

Found 4 expressions with local error:

0.0b
(cbrt (* (* (- (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) 1.0) (- (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) 1.0)) (- (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) 1.0)))
3.4b
(- (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) 1.0)
3.4b
(- (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) 1.0)
3.4b
(- (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) 1.0)

rewrite693.0ms

Algorithm
rewrite-expression-head
Rules
30×flip3-- flip--
28×frac-times
26×cbrt-div
19×add-sqr-sqrt
14×associate-*l/
10×*-un-lft-identity add-log-exp
8×associate-*r/
6×difference-of-squares
4×pow1 add-cbrt-cube add-exp-log add-cube-cbrt
3×sub-neg times-frac diff-log distribute-lft-out--
1×cbrt-prod pow1/3 pow3 rem-cbrt-cube
Counts
4 → 81
Calls
4 calls:
416.0ms
(cbrt (* (* (- (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) 1.0) (- (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) 1.0)) (- (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) 1.0)))
79.0ms
(- (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) 1.0)
104.0ms
(- (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) 1.0)
87.0ms
(- (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) 1.0)

series469.0ms

Counts
4 → 12
Calls
4 calls:
138.0ms
(cbrt (* (* (- (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) 1.0) (- (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) 1.0)) (- (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) 1.0)))
106.0ms
(- (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) 1.0)
126.0ms
(- (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) 1.0)
99.0ms
(- (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) 1.0)

simplify2.6s

Counts
93 → 93
Iterations

Useful iterations: done (2.5s)

IterNodesCost
015059680
132850884
2153049752
done500147992

prune427.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes494.0ms

Accuracy

99.7% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 32.2b

bsearch2.0ms

simplify9.0ms

Iterations

Useful iterations: 0 (3.0ms)

IterNodesCost
027938
136938
done36938

end0.0ms

sample2.0s

Algorithm
intervals
Results
1.0s1764×body1280valid
326.0ms1180×body640valid
298.0ms4133×body80valid
93.0ms604×body320valid
34.0ms319×body160valid