Details

Time bar (total: 20.0s)

sample241.0ms

Algorithm
intervals
Results
142.0ms103×body1280valid
56.0ms82×body640valid
15.0ms46×body320valid
5.0ms256×pre80true
3.0ms16×body160valid
1.0ms9×body80valid

simplify4.0ms

Counts
1 → 1
Iterations
IterNodes
done11
211
110
07

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 60.8b

localize13.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (log (- 1.0 x)) (log (+ 1.0 x)))
5.0b
(log (- 1.0 x))
5.0b
(log (+ 1.0 x))

rewrite31.0ms

Algorithm
rewrite-expression-head
Rules
19×*-un-lft-identity
17×add-sqr-sqrt
16×times-frac
15×pow1 add-cube-cbrt
12×log-pow
9×log-prod
7×add-exp-log
6×log-div
5×add-cbrt-cube
4×associate-/r* associate-/l*
3×add-log-exp
2×flip3-- div-sub rem-log-exp flip--
1×cbrt-undiv clear-num frac-2neg flip3-+ div-exp flip-+ div-inv distribute-lft-out distribute-lft-out-- difference-of-squares
Counts
3 → 69
Calls
3 calls:
20.0ms
(/ (log (- 1.0 x)) (log (+ 1.0 x)))
4.0ms
(log (- 1.0 x))
4.0ms
(log (+ 1.0 x))

series282.0ms

Counts
3 → 9
Calls
3 calls:
138.0ms
(/ (log (- 1.0 x)) (log (+ 1.0 x)))
66.0ms
(log (- 1.0 x))
78.0ms
(log (+ 1.0 x))

simplify1.1s

Counts
78 → 78
Iterations
IterNodes
done5000
21758
1432
0185

prune384.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 58.3b

localize23.0ms

Local error

Found 3 expressions with local error:

0.0b
(* (* (/ x 1.0) (/ x 1.0)) -1/2)
0.0b
(/ (log (- 1.0 x)) (+ (* (* (/ x 1.0) (/ x 1.0)) -1/2) (+ (* 1.0 x) (log 1.0))))
5.0b
(log (- 1.0 x))

rewrite214.0ms

Algorithm
rewrite-expression-head
Rules
24×add-exp-log
23×add-cbrt-cube
17×add-sqr-sqrt
16×*-un-lft-identity
14×add-cube-cbrt
13×pow1
12×times-frac associate-*l/
9×prod-exp cbrt-unprod
8×associate-/r/
6×frac-add
5×cbrt-undiv log-prod div-exp log-pow
4×log-div flip3-+ flip-+ associate-/l*
3×frac-times associate-/r* associate-*r* pow-prod-down associate-*r/ add-log-exp
2×flip3-- div-sub flip--
1×clear-num frac-2neg rem-log-exp associate-*l* *-commutative div-inv distribute-lft-out-- difference-of-squares unswap-sqr
Counts
3 → 85
Calls
3 calls:
59.0ms
(* (* (/ x 1.0) (/ x 1.0)) -1/2)
146.0ms
(/ (log (- 1.0 x)) (+ (* (* (/ x 1.0) (/ x 1.0)) -1/2) (+ (* 1.0 x) (log 1.0))))
4.0ms
(log (- 1.0 x))

series290.0ms

Counts
3 → 9
Calls
3 calls:
38.0ms
(* (* (/ x 1.0) (/ x 1.0)) -1/2)
168.0ms
(/ (log (- 1.0 x)) (+ (* (* (/ x 1.0) (/ x 1.0)) -1/2) (+ (* 1.0 x) (log 1.0))))
84.0ms
(log (- 1.0 x))

simplify2.9s

Counts
94 → 94
Iterations
IterNodes
done5000
23909
1738
0271

prune577.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.1b

localize49.0ms

Local error

Found 3 expressions with local error:

0.0b
(* (* (/ x 1.0) (/ x 1.0)) -1/2)
0.0b
(* (* (/ x 1.0) (/ x 1.0)) 1/2)
0.0b
(/ (- (log 1.0) (+ (* (* (/ x 1.0) (/ x 1.0)) 1/2) (* x 1.0))) (+ (* (* (/ x 1.0) (/ x 1.0)) -1/2) (+ (* 1.0 x) (log 1.0))))

rewrite645.0ms

Algorithm
rewrite-expression-head
Rules
41×add-cbrt-cube add-exp-log
28×*-un-lft-identity
26×add-sqr-sqrt
18×times-frac prod-exp cbrt-unprod
17×pow1
16×associate-*l/ add-cube-cbrt
9×cbrt-undiv div-exp
8×associate-/r/ distribute-lft-out--
6×associate-*r* pow-prod-down frac-add associate-/l*
4×frac-times flip3-+ associate-*r/ log-pow flip-+ difference-of-squares
3×associate-/r* add-log-exp
2×associate-*l* *-commutative unswap-sqr associate-/l/
1×clear-num frac-2neg flip3-- div-sub div-inv flip--
Counts
3 → 106
Calls
3 calls:
43.0ms
(* (* (/ x 1.0) (/ x 1.0)) -1/2)
58.0ms
(* (* (/ x 1.0) (/ x 1.0)) 1/2)
535.0ms
(/ (- (log 1.0) (+ (* (* (/ x 1.0) (/ x 1.0)) 1/2) (* x 1.0))) (+ (* (* (/ x 1.0) (/ x 1.0)) -1/2) (+ (* 1.0 x) (log 1.0))))

series218.0ms

Counts
3 → 9
Calls
3 calls:
32.0ms
(* (* (/ x 1.0) (/ x 1.0)) -1/2)
35.0ms
(* (* (/ x 1.0) (/ x 1.0)) 1/2)
151.0ms
(/ (- (log 1.0) (+ (* (* (/ x 1.0) (/ x 1.0)) 1/2) (* x 1.0))) (+ (* (* (/ x 1.0) (/ x 1.0)) -1/2) (+ (* 1.0 x) (log 1.0))))

simplify2.3s

Counts
115 → 115
Iterations
IterNodes
done5000
23959
1703
0227

prune571.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.1b

localize29.0ms

Local error

Found 4 expressions with local error:

0.0b
(* (* (/ x 1.0) (/ x 1.0)) -1/2)
0.0b
(* (* (/ x 1.0) (/ x 1.0)) 1/2)
0.0b
(/ 1 (/ (+ (* (* (/ x 1.0) (/ x 1.0)) -1/2) (+ (* 1.0 x) (log 1.0))) (- (log 1.0) (+ (* (* (/ x 1.0) (/ x 1.0)) 1/2) (* x 1.0)))))
0.0b
(/ (+ (* (* (/ x 1.0) (/ x 1.0)) -1/2) (+ (* 1.0 x) (log 1.0))) (- (log 1.0) (+ (* (* (/ x 1.0) (/ x 1.0)) 1/2) (* x 1.0))))

rewrite920.0ms

Algorithm
rewrite-expression-head
Rules
162×times-frac
130×*-un-lft-identity
116×add-sqr-sqrt
82×add-cube-cbrt
53×add-exp-log
47×add-cbrt-cube
32×distribute-lft-out--
31×pow1
30×associate-/r*
18×prod-exp cbrt-unprod
16×div-exp associate-*l/ log-pow difference-of-squares
12×cbrt-undiv
11×associate-/r/
8×associate-/l/
6×associate-*r* pow-prod-down frac-add div-inv associate-/l*
5×flip3-- flip--
4×frac-times flip3-+ associate-*r/ flip-+ add-log-exp
2×rec-exp clear-num frac-2neg 1-exp associate-*l* *-commutative unswap-sqr
1×pow-flip inv-pow
Counts
4 → 225
Calls
4 calls:
48.0ms
(* (* (/ x 1.0) (/ x 1.0)) -1/2)
52.0ms
(* (* (/ x 1.0) (/ x 1.0)) 1/2)
322.0ms
(/ 1 (/ (+ (* (* (/ x 1.0) (/ x 1.0)) -1/2) (+ (* 1.0 x) (log 1.0))) (- (log 1.0) (+ (* (* (/ x 1.0) (/ x 1.0)) 1/2) (* x 1.0)))))
480.0ms
(/ (+ (* (* (/ x 1.0) (/ x 1.0)) -1/2) (+ (* 1.0 x) (log 1.0))) (- (log 1.0) (+ (* (* (/ x 1.0) (/ x 1.0)) 1/2) (* x 1.0))))

series303.0ms

Counts
4 → 12
Calls
4 calls:
32.0ms
(* (* (/ x 1.0) (/ x 1.0)) -1/2)
28.0ms
(* (* (/ x 1.0) (/ x 1.0)) 1/2)
107.0ms
(/ 1 (/ (+ (* (* (/ x 1.0) (/ x 1.0)) -1/2) (+ (* 1.0 x) (log 1.0))) (- (log 1.0) (+ (* (* (/ x 1.0) (/ x 1.0)) 1/2) (* x 1.0)))))
136.0ms
(/ (+ (* (* (/ x 1.0) (/ x 1.0)) -1/2) (+ (* 1.0 x) (log 1.0))) (- (log 1.0) (+ (* (* (/ x 1.0) (/ x 1.0)) 1/2) (* x 1.0))))

simplify1.1s

Counts
237 → 237
Iterations
IterNodes
done5000
1995
0342

prune1.2s

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.1b

regimes68.0ms

Accuracy

0% (0.4b remaining)

Error of 0.4b against oracle of 0.1b and baseline of 0.4b

bsearch0.0ms

simplify9.0ms

Iterations
IterNodes
done29
329
227
125
018

end0.0ms

sample6.6s

Algorithm
intervals
Results
4.2s3464×body1280valid
1.5s2480×body640valid
329.0ms1238×body320valid
180.0ms8000×pre80true
129.0ms599×body160valid
15.0ms219×body80valid