Details

Time bar (total: 16.9s)

sample59.0ms

Algorithm
intervals
Results
20.0ms54×body1280valid
10.0ms42×body640valid
6.0ms120×body80valid
4.0ms26×body320valid
2.0ms14×body160valid

simplify3.5s

Counts
1 → 1
Iterations
IterNodes
done5001
73510
6440
5117
453
330
222
115
09

prune9.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 31.9b

localize26.0ms

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)

rewrite145.0ms

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:
23.0ms
(/ 2.0 (+ 1.0 (exp (* -2.0 x))))
11.0ms
(+ 1.0 (exp (* -2.0 x)))
108.0ms
(- (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) 1.0)

series191.0ms

Counts
3 → 9
Calls
3 calls:
63.0ms
(/ 2.0 (+ 1.0 (exp (* -2.0 x))))
27.0ms
(+ 1.0 (exp (* -2.0 x)))
102.0ms
(- (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) 1.0)

simplify2.4s

Counts
69 → 69
Iterations
IterNodes
done5001
34650
2927
1261
0116

prune427.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize23.0ms

Local error

Found 4 expressions with local error:

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

rewrite153.0ms

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
6×*-un-lft-identity add-cube-cbrt add-log-exp
5×associate-*r* associate-*l*
4×associate--l+
3×sub-neg *-commutative
2×distribute-rgt-in distribute-lft-in unswap-sqr
1×flip3-- diff-log flip--
Counts
4 → 82
Calls
4 calls:
69.0ms
(* (* x x) (* (* x x) 5.551115123125783e-17))
17.0ms
(* 0.33333333333333337 (* x x))
18.0ms
(* (* x x) 5.551115123125783e-17)
44.0ms
(- (* x (- 1.0 (* 0.33333333333333337 (* x x)))) (* (* x x) (* (* x x) 5.551115123125783e-17)))

series210.0ms

Counts
4 → 12
Calls
4 calls:
56.0ms
(* (* x x) (* (* x x) 5.551115123125783e-17))
33.0ms
(* 0.33333333333333337 (* x x))
31.0ms
(* (* x x) 5.551115123125783e-17)
88.0ms
(- (* x (- 1.0 (* 0.33333333333333337 (* x x)))) (* (* x x) (* (* x x) 5.551115123125783e-17)))

simplify2.9s

Counts
94 → 94
Iterations
IterNodes
done5000
22871
1354
0118

prune369.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize45.0ms

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)

rewrite1.0s

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:
440.0ms
(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)))
95.0ms
(- (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) 1.0)
87.0ms
(- (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) 1.0)
412.0ms
(- (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) 1.0)

series489.0ms

Counts
4 → 12
Calls
4 calls:
122.0ms
(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)))
85.0ms
(- (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) 1.0)
140.0ms
(- (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) 1.0)
142.0ms
(- (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) 1.0)

simplify2.2s

Counts
93 → 93
Iterations
IterNodes
done5001
21530
1328
0150

prune420.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes416.0ms

Accuracy

99.7% (0.1b remaining)

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

bsearch2.0ms

simplify12.0ms

Iterations
IterNodes
done37
137
027

end0.0ms

sample1.9s

Algorithm
intervals
Results
669.0ms1764×body1280valid
377.0ms1180×body640valid
284.0ms4133×body80valid
149.0ms604×body320valid
88.0ms319×body160valid