Details

Time bar (total: 35.9s)

sample80.0ms

Algorithm
intervals
Results
25.0ms61×body1280valid
13.0ms42×body640valid
8.0ms121×body80valid
4.0ms22×body320valid
1.0ms10×body160valid

simplify8.7s

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

prune10.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 31.8b

localize66.0ms

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))))
2.7b
(- (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) 1.0)

rewrite228.0ms

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 insert-posit16 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 → 63
Calls
3 calls:
26.0ms
(+ 1.0 (exp (* -2.0 x)))
34.0ms
(/ 2.0 (+ 1.0 (exp (* -2.0 x))))
161.0ms
(- (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) 1.0)

series269.0ms

Counts
3 → 9
Calls
3 calls:
32.0ms
(+ 1.0 (exp (* -2.0 x)))
66.0ms
(/ 2.0 (+ 1.0 (exp (* -2.0 x))))
171.0ms
(- (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) 1.0)

simplify4.7s

Counts
72 → 72
Iterations
IterNodes
done5001
32048
2726
1265
0119

prune736.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize105.0ms

Local error

Found 4 expressions with local error:

0.1b
(* (* 5.551115123125783e-17 (* x x)) (* x x))
0.1b
(* 0.33333333333333337 (* x x))
1.1b
(* 5.551115123125783e-17 (* x x))
9.8b
(- (* x (- 1.0 (* 0.33333333333333337 (* x x)))) (* (* 5.551115123125783e-17 (* x x)) (* x x)))

rewrite386.0ms

Algorithm
rewrite-expression-head
Rules
35×pow1 add-cbrt-cube add-exp-log
21×pow-prod-down prod-exp cbrt-unprod
8×add-sqr-sqrt
7×associate-*l*
6×*-un-lft-identity add-cube-cbrt add-log-exp
4×associate--l+ insert-posit16
3×sub-neg associate-*r* *-commutative
2×distribute-rgt-in distribute-lft-in unswap-sqr
1×flip3-- diff-log flip--
Counts
4 → 86
Calls
4 calls:
176.0ms
(* (* 5.551115123125783e-17 (* x x)) (* x x))
41.0ms
(* 0.33333333333333337 (* x x))
70.0ms
(* 5.551115123125783e-17 (* x x))
86.0ms
(- (* x (- 1.0 (* 0.33333333333333337 (* x x)))) (* (* 5.551115123125783e-17 (* x x)) (* x x)))

series221.0ms

Counts
4 → 12
Calls
4 calls:
73.0ms
(* (* 5.551115123125783e-17 (* x x)) (* x x))
32.0ms
(* 0.33333333333333337 (* x x))
34.0ms
(* 5.551115123125783e-17 (* x x))
82.0ms
(- (* x (- 1.0 (* 0.33333333333333337 (* x x)))) (* (* 5.551115123125783e-17 (* x x)) (* x x)))

simplify3.6s

Counts
98 → 98
Iterations
IterNodes
done5009
21275
1337
0119

prune750.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize150.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (* x 0.33333333333333337) (* 5.551115123125783e-17 (* x x)))
0.1b
(* (* x x) (+ (* x 0.33333333333333337) (* 5.551115123125783e-17 (* x x))))
1.1b
(* 5.551115123125783e-17 (* x x))

rewrite205.0ms

Algorithm
rewrite-expression-head
Rules
13×pow1 add-cbrt-cube add-exp-log
7×add-sqr-sqrt
6×pow-prod-down prod-exp cbrt-unprod
5×*-un-lft-identity add-cube-cbrt add-log-exp
4×associate-*r* associate-*l*
3×insert-posit16
2×flip3-+ associate-*r/ *-commutative flip-+ unswap-sqr
1×distribute-rgt-in +-commutative sum-log distribute-lft-in
Counts
3 → 56
Calls
3 calls:
40.0ms
(+ (* x 0.33333333333333337) (* 5.551115123125783e-17 (* x x)))
115.0ms
(* (* x x) (+ (* x 0.33333333333333337) (* 5.551115123125783e-17 (* x x))))
45.0ms
(* 5.551115123125783e-17 (* x x))

series380.0ms

Counts
3 → 9
Calls
3 calls:
124.0ms
(+ (* x 0.33333333333333337) (* 5.551115123125783e-17 (* x x)))
209.0ms
(* (* x x) (+ (* x 0.33333333333333337) (* 5.551115123125783e-17 (* x x))))
47.0ms
(* 5.551115123125783e-17 (* x x))

simplify3.6s

Counts
65 → 65
Iterations
IterNodes
done5001
21353
1308
091

prune667.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize106.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ 1.0 (exp (* -2.0 x)))
0.0b
(+ 1.0 (exp (* -2.0 x)))
0.5b
(/ 2.0 (sqrt (+ 1.0 (exp (* -2.0 x)))))
2.7b
(- (/ (/ 2.0 (sqrt (+ 1.0 (exp (* -2.0 x))))) (sqrt (+ 1.0 (exp (* -2.0 x))))) 1.0)

rewrite686.0ms

Algorithm
rewrite-expression-head
Rules
44×add-sqr-sqrt
34×*-un-lft-identity
31×times-frac
21×sqrt-prod
20×add-cube-cbrt
10×add-log-exp
7×associate-/r* difference-of-squares
6×add-cbrt-cube add-exp-log distribute-lft-out
4×pow1 insert-posit16
3×flip3-+ flip-+ associate-/l*
2×+-commutative sum-log sqrt-div associate-/r/
1×cbrt-undiv clear-num sub-neg frac-2neg flip3-- diff-log div-exp div-inv flip-- distribute-lft-out--
Counts
4 → 93
Calls
4 calls:
13.0ms
(+ 1.0 (exp (* -2.0 x)))
19.0ms
(+ 1.0 (exp (* -2.0 x)))
56.0ms
(/ 2.0 (sqrt (+ 1.0 (exp (* -2.0 x)))))
590.0ms
(- (/ (/ 2.0 (sqrt (+ 1.0 (exp (* -2.0 x))))) (sqrt (+ 1.0 (exp (* -2.0 x))))) 1.0)

series378.0ms

Counts
4 → 12
Calls
4 calls:
35.0ms
(+ 1.0 (exp (* -2.0 x)))
22.0ms
(+ 1.0 (exp (* -2.0 x)))
146.0ms
(/ 2.0 (sqrt (+ 1.0 (exp (* -2.0 x)))))
175.0ms
(- (/ (/ 2.0 (sqrt (+ 1.0 (exp (* -2.0 x))))) (sqrt (+ 1.0 (exp (* -2.0 x))))) 1.0)

simplify5.3s

Counts
105 → 105
Iterations
IterNodes
done5000
32796
2877
1332
0159

prune1.1s

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

regimes916.0ms

Accuracy

99.5% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 31.5b

bsearch4.0ms

simplify47.0ms

Iterations
IterNodes
done61
361
251
142
027

end0.0ms

sample2.6s

Algorithm
intervals
Results
1.4s1707×body1280valid
469.0ms1307×body640valid
284.0ms4052×body80valid
138.0ms617×body320valid
80.0ms317×body160valid