Details

Time bar (total: 36.9s)

sample259.0ms

Algorithm
intervals
Results
147.0ms99×body1280valid
57.0ms82×body640valid
15.0ms44×body320valid
8.0ms256×pre80true
5.0ms21×body160valid
1.0ms10×body80valid

simplify29.0ms

Counts
1 → 1
Iterations
IterNodes
done11
211
110
07

prune10.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 60.7b

localize23.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (log (- 1.0 x)) (log (+ 1.0 x)))
7.0b
(log (- 1.0 x))
7.2b
(log (+ 1.0 x))

rewrite103.0ms

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×insert-posit16 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 → 72
Calls
3 calls:
51.0ms
(/ (log (- 1.0 x)) (log (+ 1.0 x)))
34.0ms
(log (- 1.0 x))
10.0ms
(log (+ 1.0 x))

series365.0ms

Counts
3 → 9
Calls
3 calls:
230.0ms
(/ (log (- 1.0 x)) (log (+ 1.0 x)))
67.0ms
(log (- 1.0 x))
67.0ms
(log (+ 1.0 x))

simplify7.2s

Counts
81 → 81
Iterations
IterNodes
done5000
34858
21329
1435
0188

prune711.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 58.6b

localize51.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (log (- 1.0 x)) (+ (* 1.0 x) (- (log 1.0) (* (* (/ x 1.0) (/ x 1.0)) 1/2))))
0.0b
(* (* (/ x 1.0) (/ x 1.0)) 1/2)
7.0b
(log (- 1.0 x))

rewrite227.0ms

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
9×prod-exp cbrt-unprod
5×cbrt-undiv log-prod div-exp log-pow
4×log-div associate-*l/ associate-/l*
3×associate-/r* associate-*r* pow-prod-down insert-posit16 add-log-exp
2×flip3-- div-sub associate-/r/ flip--
1×frac-times clear-num frac-2neg flip3-+ rem-log-exp associate-*l* associate-*r/ *-commutative flip-+ div-inv distribute-lft-out-- difference-of-squares unswap-sqr
Counts
3 → 82
Calls
3 calls:
113.0ms
(/ (log (- 1.0 x)) (+ (* 1.0 x) (- (log 1.0) (* (* (/ x 1.0) (/ x 1.0)) 1/2))))
95.0ms
(* (* (/ x 1.0) (/ x 1.0)) 1/2)
8.0ms
(log (- 1.0 x))

series302.0ms

Counts
3 → 9
Calls
3 calls:
182.0ms
(/ (log (- 1.0 x)) (+ (* 1.0 x) (- (log 1.0) (* (* (/ x 1.0) (/ x 1.0)) 1/2))))
43.0ms
(* (* (/ x 1.0) (/ x 1.0)) 1/2)
76.0ms
(log (- 1.0 x))

simplify4.1s

Counts
91 → 91
Iterations
IterNodes
done5002
22225
1601
0241

prune945.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize44.0ms

Local error

Found 2 expressions with local error:

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

rewrite183.0ms

Algorithm
rewrite-expression-head
Rules
26×*-un-lft-identity
23×add-sqr-sqrt
22×add-cbrt-cube add-exp-log
18×times-frac
14×add-cube-cbrt
11×pow1
9×prod-exp cbrt-unprod
8×distribute-lft-out--
6×associate-/l*
5×cbrt-undiv div-exp
4×associate-*l/ log-pow difference-of-squares
3×associate-/r* associate-*r* pow-prod-down
2×associate-/r/ insert-posit16 add-log-exp associate-/l/
1×frac-times clear-num frac-2neg flip3-+ flip3-- div-sub associate-*l* associate-*r/ *-commutative flip-+ div-inv flip-- unswap-sqr
Counts
2 → 74
Calls
2 calls:
62.0ms
(* (* (/ x 1.0) (/ x 1.0)) 1/2)
116.0ms
(/ (- (log 1.0) (+ (* 1.0 x) (* (* 1/2 (/ x 1.0)) (/ x 1.0)))) (+ (* 1.0 x) (- (log 1.0) (* (* (/ x 1.0) (/ x 1.0)) 1/2))))

series236.0ms

Counts
2 → 6
Calls
2 calls:
50.0ms
(* (* (/ x 1.0) (/ x 1.0)) 1/2)
186.0ms
(/ (- (log 1.0) (+ (* 1.0 x) (* (* 1/2 (/ x 1.0)) (/ x 1.0)))) (+ (* 1.0 x) (- (log 1.0) (* (* (/ x 1.0) (/ x 1.0)) 1/2))))

simplify3.9s

Counts
80 → 80
Iterations
IterNodes
done5019
21784
1462
0166

prune682.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

localize111.0ms

Local error

Found 4 expressions with local error:

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

rewrite931.0ms

Algorithm
rewrite-expression-head
Rules
213×*-un-lft-identity
168×times-frac
165×add-sqr-sqrt
144×cbrt-prod
93×add-cube-cbrt
72×distribute-lft-out--
47×pow1
45×swap-sqr
36×log-pow
27×associate-*r* associate-*l*
24×difference-of-squares
18×associate-/l*
14×associate-/r/
12×add-exp-log
10×add-cbrt-cube
9×associate-/r* unswap-sqr
7×flip3-+ flip-+ div-inv
6×pow1/3 associate-/l/
4×cbrt-div insert-posit16 add-log-exp
3×cbrt-undiv clear-num frac-2neg flip3-- div-sub div-exp flip--
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 frac-times pow-plus associate-*l/ prod-exp associate-*r/ *-commutative cbrt-unprod
Counts
4 → 265
Calls
4 calls:
151.0ms
(/ (- (log 1.0) (+ (* 1.0 x) (* (* 1/2 (/ x 1.0)) (/ x 1.0)))) (+ (* 1.0 x) (- (log 1.0) (* (* (/ x 1.0) (/ x 1.0)) 1/2))))
121.0ms
(/ (- (log 1.0) (+ (* 1.0 x) (* (* 1/2 (/ x 1.0)) (/ x 1.0)))) (+ (* 1.0 x) (- (log 1.0) (* (* (/ x 1.0) (/ x 1.0)) 1/2))))
151.0ms
(/ (- (log 1.0) (+ (* 1.0 x) (* (* 1/2 (/ x 1.0)) (/ x 1.0)))) (+ (* 1.0 x) (- (log 1.0) (* (* (/ x 1.0) (/ x 1.0)) 1/2))))
446.0ms
(* (cbrt (/ (- (log 1.0) (+ (* 1.0 x) (* (* 1/2 (/ x 1.0)) (/ x 1.0)))) (+ (* 1.0 x) (- (log 1.0) (* (* (/ x 1.0) (/ x 1.0)) 1/2))))) (cbrt (/ (- (log 1.0) (+ (* 1.0 x) (* (* 1/2 (/ x 1.0)) (/ x 1.0)))) (+ (* 1.0 x) (- (log 1.0) (* (* (/ x 1.0) (/ x 1.0)) 1/2))))))

series1.0s

Counts
4 → 12
Calls
4 calls:
159.0ms
(/ (- (log 1.0) (+ (* 1.0 x) (* (* 1/2 (/ x 1.0)) (/ x 1.0)))) (+ (* 1.0 x) (- (log 1.0) (* (* (/ x 1.0) (/ x 1.0)) 1/2))))
194.0ms
(/ (- (log 1.0) (+ (* 1.0 x) (* (* 1/2 (/ x 1.0)) (/ x 1.0)))) (+ (* 1.0 x) (- (log 1.0) (* (* (/ x 1.0) (/ x 1.0)) 1/2))))
173.0ms
(/ (- (log 1.0) (+ (* 1.0 x) (* (* 1/2 (/ x 1.0)) (/ x 1.0)))) (+ (* 1.0 x) (- (log 1.0) (* (* (/ x 1.0) (/ x 1.0)) 1/2))))
481.0ms
(* (cbrt (/ (- (log 1.0) (+ (* 1.0 x) (* (* 1/2 (/ x 1.0)) (/ x 1.0)))) (+ (* 1.0 x) (- (log 1.0) (* (* (/ x 1.0) (/ x 1.0)) 1/2))))) (cbrt (/ (- (log 1.0) (+ (* 1.0 x) (* (* 1/2 (/ x 1.0)) (/ x 1.0)))) (+ (* 1.0 x) (- (log 1.0) (* (* (/ x 1.0) (/ x 1.0)) 1/2))))))

simplify4.4s

Counts
277 → 277
Iterations
IterNodes
done5000
21690
1586
0261

prune2.9s

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0.0b

regimes238.0ms

Accuracy

0% (0.4b remaining)

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

bsearch0.0ms

simplify14.0ms

Iterations
IterNodes
done21
121
015

end0.0ms

sample7.9s

Algorithm
intervals
Results
4.8s3426×body1280valid
2.1s2506×body640valid
443.0ms1223×body320valid
181.0ms8000×pre80true
116.0ms614×body160valid
20.0ms231×body80valid