Details

Time bar (total: 18.6s)

sample51.0ms

Algorithm
intervals
Results
20.0ms67×body1280valid
6.0ms31×body640valid
5.0ms135×body80valid
2.0ms15×body320valid
1.0ms8×body160valid

simplify3.6s

Counts
1 → 1
Iterations
IterNodes
done5002
83495
7880
6223
597
448
327
220
115
09

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 28.5b

localize19.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ 1.0 (exp (* -2.0 x)))
0.0b
(/ 2.0 (+ 1.0 (exp (* -2.0 x))))
2.2b
(- (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) 1.0)

rewrite123.0ms

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
(+ 1.0 (exp (* -2.0 x)))
19.0ms
(/ 2.0 (+ 1.0 (exp (* -2.0 x))))
89.0ms
(- (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) 1.0)

series182.0ms

Counts
3 → 9
Calls
3 calls:
27.0ms
(+ 1.0 (exp (* -2.0 x)))
47.0ms
(/ 2.0 (+ 1.0 (exp (* -2.0 x))))
107.0ms
(- (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) 1.0)

simplify1.8s

Counts
69 → 69
Iterations
IterNodes
done5001
32063
2698
1261
0116

prune346.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize44.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ 2.0 (+ 1.0 (exp (* -2.0 x))))
0.0b
(/ 2.0 (+ 1.0 (exp (* -2.0 x))))
0.2b
(* (+ (sqrt (/ 2.0 (+ 1.0 (exp (* -2.0 x))))) (sqrt 1.0)) (- (sqrt (/ 2.0 (+ 1.0 (exp (* -2.0 x))))) (sqrt 1.0)))
2.6b
(- (sqrt (/ 2.0 (+ 1.0 (exp (* -2.0 x))))) (sqrt 1.0))

rewrite564.0ms

Algorithm
rewrite-expression-head
Rules
54×add-sqr-sqrt
52×*-un-lft-identity
28×times-frac
24×add-cube-cbrt
20×sqrt-prod
12×difference-of-squares
11×associate-*r*
10×add-cbrt-cube add-exp-log distribute-lft-out
8×associate-/r*
6×pow1 associate-/l* add-log-exp
5×flip3-+ associate-*l* flip-+
4×frac-times flip3-- associate-/r/ flip-- distribute-lft-out--
3×sub-neg
2×distribute-rgt-in cbrt-undiv clear-num frac-2neg distribute-lft-in div-exp associate-*l/ associate-*r/ div-inv
1×diff-log pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
4 → 126
Calls
4 calls:
21.0ms
(/ 2.0 (+ 1.0 (exp (* -2.0 x))))
21.0ms
(/ 2.0 (+ 1.0 (exp (* -2.0 x))))
401.0ms
(* (+ (sqrt (/ 2.0 (+ 1.0 (exp (* -2.0 x))))) (sqrt 1.0)) (- (sqrt (/ 2.0 (+ 1.0 (exp (* -2.0 x))))) (sqrt 1.0)))
112.0ms
(- (sqrt (/ 2.0 (+ 1.0 (exp (* -2.0 x))))) (sqrt 1.0))

series780.0ms

Counts
4 → 12
Calls
4 calls:
51.0ms
(/ 2.0 (+ 1.0 (exp (* -2.0 x))))
65.0ms
(/ 2.0 (+ 1.0 (exp (* -2.0 x))))
527.0ms
(* (+ (sqrt (/ 2.0 (+ 1.0 (exp (* -2.0 x))))) (sqrt 1.0)) (- (sqrt (/ 2.0 (+ 1.0 (exp (* -2.0 x))))) (sqrt 1.0)))
138.0ms
(- (sqrt (/ 2.0 (+ 1.0 (exp (* -2.0 x))))) (sqrt 1.0))

simplify1.9s

Counts
138 → 138
Iterations
IterNodes
done5003
21651
1468
0180

prune851.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize32.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ 1.0 (exp (* -2.0 x)))
0.0b
(/ 2.0 (+ 1.0 (exp (* -2.0 x))))
2.2b
(- (/ 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:
6.0ms
(+ 1.0 (exp (* -2.0 x)))
14.0ms
(/ 2.0 (+ 1.0 (exp (* -2.0 x))))
89.0ms
(- (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) 1.0)

series177.0ms

Counts
3 → 9
Calls
3 calls:
30.0ms
(+ 1.0 (exp (* -2.0 x)))
43.0ms
(/ 2.0 (+ 1.0 (exp (* -2.0 x))))
105.0ms
(- (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) 1.0)

simplify1.9s

Counts
69 → 69
Iterations
IterNodes
done5001
32063
2698
1261
0116

prune399.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize24.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (* x 1.0) (* (* x x) (+ (* 0.33333333333333337 x) (* 5.551115123125783e-17 (* x x)))))
0.0b
(+ (* 0.33333333333333337 x) (* 5.551115123125783e-17 (* x x)))
0.1b
(* (* x x) (+ (* 0.33333333333333337 x) (* 5.551115123125783e-17 (* x x))))
1.3b
(* 5.551115123125783e-17 (* x x))

rewrite89.0ms

Algorithm
rewrite-expression-head
Rules
14×pow1 add-cbrt-cube add-exp-log
8×add-sqr-sqrt add-log-exp
6×*-un-lft-identity pow-prod-down prod-exp add-cube-cbrt cbrt-unprod
4×associate-*r* associate-*l*
2×distribute-rgt-in distribute-lft-in flip3-+ associate-*r/ *-commutative flip-+ associate--r+ unswap-sqr
1×+-commutative sum-log sub-neg flip3-- diff-log flip--
Counts
4 → 67
Calls
4 calls:
11.0ms
(- (* x 1.0) (* (* x x) (+ (* 0.33333333333333337 x) (* 5.551115123125783e-17 (* x x)))))
13.0ms
(+ (* 0.33333333333333337 x) (* 5.551115123125783e-17 (* x x)))
49.0ms
(* (* x x) (+ (* 0.33333333333333337 x) (* 5.551115123125783e-17 (* x x))))
13.0ms
(* 5.551115123125783e-17 (* x x))

series396.0ms

Counts
4 → 12
Calls
4 calls:
64.0ms
(- (* x 1.0) (* (* x x) (+ (* 0.33333333333333337 x) (* 5.551115123125783e-17 (* x x)))))
114.0ms
(+ (* 0.33333333333333337 x) (* 5.551115123125783e-17 (* x x)))
186.0ms
(* (* x x) (+ (* 0.33333333333333337 x) (* 5.551115123125783e-17 (* x x))))
32.0ms
(* 5.551115123125783e-17 (* x x))

simplify2.3s

Counts
79 → 79
Iterations
IterNodes
done5001
21638
1384
0113

prune405.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes497.0ms

Accuracy

98.3% (0.5b remaining)

Error of 0.5b against oracle of 0.0b and baseline of 29.2b

bsearch2.0ms

simplify8.0ms

Iterations
IterNodes
done43
143
031

end0.0ms

sample2.0s

Algorithm
intervals
Results
841.0ms1668×body1280valid
411.0ms1307×body640valid
243.0ms4107×body80valid
108.0ms617×body320valid
37.0ms301×body160valid