Details

Time bar (total: 21.3s)

sample206.0ms

Algorithm
intervals
Results
136.0ms122×body1280valid
40.0ms77×body640valid
9.0ms32×body320valid
4.0ms256×pre80true
4.0ms22×body160valid
0.0ms3×body80valid

simplify4.0ms

Counts
1 → 1
Iterations
IterNodes
done11
211
110
07

prune18.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 62.0b

localize21.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (log (- 1.0 x)) (log (+ 1.0 x)))
6.2b
(log (+ 1.0 x))
6.2b
(log (- 1.0 x))

rewrite23.0ms

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:
13.0ms
(/ (log (- 1.0 x)) (log (+ 1.0 x)))
3.0ms
(log (+ 1.0 x))
4.0ms
(log (- 1.0 x))

series301.0ms

Counts
3 → 9
Calls
3 calls:
179.0ms
(/ (log (- 1.0 x)) (log (+ 1.0 x)))
50.0ms
(log (+ 1.0 x))
72.0ms
(log (- 1.0 x))

simplify2.7s

Counts
78 → 78
Iterations
IterNodes
done5002
34806
21325
1432
0185

prune397.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 59.8b

localize22.0ms

Local error

Found 3 expressions with local error:

0.0b
(* 1/2 (* (/ x 1.0) (/ x 1.0)))
0.0b
(/ (log (- 1.0 x)) (+ (log 1.0) (- (* 1.0 x) (* 1/2 (* (/ x 1.0) (/ x 1.0))))))
6.2b
(log (- 1.0 x))

rewrite111.0ms

Algorithm
rewrite-expression-head
Rules
33×*-un-lft-identity
24×add-exp-log
23×add-cbrt-cube
20×pow1 times-frac
19×add-sqr-sqrt
16×add-cube-cbrt
12×log-pow
10×distribute-lft-out
9×prod-exp cbrt-unprod
5×cbrt-undiv log-prod associate-/r* div-exp
4×log-div associate-*r/ associate-/l*
3×associate-*l* pow-prod-down add-log-exp
2×flip3-- div-sub associate-/r/ flip--
1×frac-times clear-num frac-2neg flip3-+ rem-log-exp associate-*r* associate-*l/ *-commutative flip-+ div-inv distribute-lft-out-- difference-of-squares unswap-sqr
Counts
3 → 89
Calls
3 calls:
36.0ms
(* 1/2 (* (/ x 1.0) (/ x 1.0)))
65.0ms
(/ (log (- 1.0 x)) (+ (log 1.0) (- (* 1.0 x) (* 1/2 (* (/ x 1.0) (/ x 1.0))))))
7.0ms
(log (- 1.0 x))

series301.0ms

Counts
3 → 9
Calls
3 calls:
27.0ms
(* 1/2 (* (/ x 1.0) (/ x 1.0)))
201.0ms
(/ (log (- 1.0 x)) (+ (log 1.0) (- (* 1.0 x) (* 1/2 (* (/ x 1.0) (/ x 1.0))))))
72.0ms
(log (- 1.0 x))

simplify1.9s

Counts
98 → 98
Iterations
IterNodes
done5003
21863
1579
0236

prune440.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize24.0ms

Local error

Found 3 expressions with local error:

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

rewrite135.0ms

Algorithm
rewrite-expression-head
Rules
57×*-un-lft-identity
41×add-cbrt-cube add-exp-log
32×add-sqr-sqrt
30×times-frac
26×pow1
18×prod-exp add-cube-cbrt cbrt-unprod
14×distribute-lft-out
13×log-pow
12×distribute-lft-out--
9×cbrt-undiv div-exp
6×pow-prod-down associate-/l* difference-of-squares
5×associate-/r* associate-*l/ associate-*r/
4×associate-*r* associate-*l*
3×add-log-exp
2×frac-times associate-/r/ *-commutative unswap-sqr associate-/l/
1×clear-num frac-2neg flip3-+ flip3-- div-sub flip-+ div-inv flip--
Counts
3 → 114
Calls
3 calls:
33.0ms
(* (* (/ x 1.0) (/ x 1.0)) 1/2)
28.0ms
(* 1/2 (* (/ x 1.0) (/ x 1.0)))
70.0ms
(/ (- (log 1.0) (+ (* 1.0 x) (* (* (/ x 1.0) (/ x 1.0)) 1/2))) (+ (log 1.0) (- (* 1.0 x) (* 1/2 (* (/ x 1.0) (/ x 1.0))))))

series255.0ms

Counts
3 → 9
Calls
3 calls:
50.0ms
(* (* (/ x 1.0) (/ x 1.0)) 1/2)
48.0ms
(* 1/2 (* (/ x 1.0) (/ x 1.0)))
156.0ms
(/ (- (log 1.0) (+ (* 1.0 x) (* (* (/ x 1.0) (/ x 1.0)) 1/2))) (+ (log 1.0) (- (* 1.0 x) (* 1/2 (* (/ x 1.0) (/ x 1.0))))))

simplify2.1s

Counts
123 → 123
Iterations
IterNodes
done5004
21938
1519
0186

prune521.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize105.0ms

Local error

Found 4 expressions with local error:

0.7b
(cbrt (+ (log 1.0) (- (* 1.0 x) (* 1/2 (* (/ x 1.0) (/ x 1.0))))))
0.7b
(cbrt (- (log 1.0) (+ (* 1.0 x) (* (* (/ x 1.0) (/ x 1.0)) 1/2))))
0.7b
(cbrt (- (log 1.0) (+ (* 1.0 x) (* (* (/ x 1.0) (/ x 1.0)) 1/2))))
0.7b
(cbrt (- (log 1.0) (+ (* 1.0 x) (* (* (/ x 1.0) (/ x 1.0)) 1/2))))

rewrite51.0ms

Algorithm
rewrite-expression-head
Rules
23×cbrt-prod
20×*-un-lft-identity
14×add-sqr-sqrt
8×pow1 cbrt-div add-cube-cbrt
6×distribute-lft-out--
4×add-cbrt-cube pow1/3 add-exp-log log-pow add-log-exp
3×flip3-- flip-- difference-of-squares
2×distribute-lft-out
1×flip3-+ flip-+
Counts
4 → 63
Calls
4 calls:
17.0ms
(cbrt (+ (log 1.0) (- (* 1.0 x) (* 1/2 (* (/ x 1.0) (/ x 1.0))))))
10.0ms
(cbrt (- (log 1.0) (+ (* 1.0 x) (* (* (/ x 1.0) (/ x 1.0)) 1/2))))
10.0ms
(cbrt (- (log 1.0) (+ (* 1.0 x) (* (* (/ x 1.0) (/ x 1.0)) 1/2))))
11.0ms
(cbrt (- (log 1.0) (+ (* 1.0 x) (* (* (/ x 1.0) (/ x 1.0)) 1/2))))

series1.1s

Counts
4 → 12
Calls
4 calls:
276.0ms
(cbrt (+ (log 1.0) (- (* 1.0 x) (* 1/2 (* (/ x 1.0) (/ x 1.0))))))
285.0ms
(cbrt (- (log 1.0) (+ (* 1.0 x) (* (* (/ x 1.0) (/ x 1.0)) 1/2))))
256.0ms
(cbrt (- (log 1.0) (+ (* 1.0 x) (* (* (/ x 1.0) (/ x 1.0)) 1/2))))
328.0ms
(cbrt (- (log 1.0) (+ (* 1.0 x) (* (* (/ x 1.0) (/ x 1.0)) 1/2))))

simplify2.9s

Counts
75 → 75
Iterations
IterNodes
done5000
21217
1374
0151

prune612.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

regimes55.0ms

Accuracy

0% (0.4b remaining)

Error of 0.5b against oracle of 0.1b and baseline of 0.5b

bsearch0.0ms

simplify3.0ms

Iterations
IterNodes
done17
117
014

end0.0ms

sample7.0s

Algorithm
intervals
Results
4.6s3450×body1280valid
1.5s2497×body640valid
350.0ms1208×body320valid
180.0ms614×body160valid
165.0ms8000×pre80true
16.0ms231×body80valid