Details

Time bar (total: 34.0s)

sample236.0ms

Algorithm
intervals
Results
134.0ms99×body1280valid
56.0ms82×body640valid
16.0ms44×body320valid
6.0ms256×pre80true
4.0ms21×body160valid
1.0ms10×body80valid

simplify14.0ms

Counts
1 → 1
Iterations
IterNodes
done11
211
110
07

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 60.7b

localize42.0ms

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))

rewrite89.0ms

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×expm1-log1p-u insert-posit16 log1p-expm1-u 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 → 78
Calls
3 calls:
40.0ms
(/ (log (- 1.0 x)) (log (+ 1.0 x)))
27.0ms
(log (- 1.0 x))
14.0ms
(log (+ 1.0 x))

series344.0ms

Counts
3 → 9
Calls
3 calls:
202.0ms
(/ (log (- 1.0 x)) (log (+ 1.0 x)))
68.0ms
(log (- 1.0 x))
75.0ms
(log (+ 1.0 x))

simplify3.0s

Counts
87 → 87
Iterations
IterNodes
done5000
21436
1460
0194

prune738.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 58.6b

localize53.0ms

Local error

Found 2 expressions with local error:

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

rewrite48.0ms

Algorithm
rewrite-expression-head
Rules
14×add-sqr-sqrt *-un-lft-identity
12×times-frac add-cube-cbrt
7×pow1
5×log-prod add-exp-log log-pow
4×log-div add-cbrt-cube associate-/l*
3×associate-/r*
2×expm1-log1p-u flip3-- div-sub insert-posit16 log1p-expm1-u flip-- add-log-exp
1×cbrt-undiv clear-num frac-2neg div-exp rem-log-exp div-inv distribute-lft-out-- difference-of-squares
Counts
2 → 55
Calls
2 calls:
36.0ms
(/ (log (- 1.0 x)) (fma -1/2 (* (/ x 1.0) (/ x 1.0)) (fma 1.0 x (log 1.0))))
9.0ms
(log (- 1.0 x))

series302.0ms

Counts
2 → 6
Calls
2 calls:
234.0ms
(/ (log (- 1.0 x)) (fma -1/2 (* (/ x 1.0) (/ x 1.0)) (fma 1.0 x (log 1.0))))
68.0ms
(log (- 1.0 x))

simplify3.1s

Counts
61 → 61
Iterations
IterNodes
done5000
21343
1435
0184

prune673.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize42.0ms

Local error

Found 1 expressions with local error:

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

rewrite55.0ms

Algorithm
rewrite-expression-head
Rules
24×*-un-lft-identity
20×add-sqr-sqrt
18×times-frac
12×add-cube-cbrt
8×distribute-lft-out--
6×associate-/l*
5×pow1
4×log-pow difference-of-squares
3×associate-/r* add-cbrt-cube add-exp-log
2×associate-/l/
1×expm1-log1p-u cbrt-undiv clear-num frac-2neg flip3-- div-sub div-exp insert-posit16 log1p-expm1-u div-inv flip-- add-log-exp
Counts
1 → 45
Calls
1 calls:
51.0ms
(/ (- (log 1.0) (fma 1/2 (* (/ x 1.0) (/ x 1.0)) (* 1.0 x))) (fma -1/2 (* (/ x 1.0) (/ x 1.0)) (fma 1.0 x (log 1.0))))

series158.0ms

Counts
1 → 3
Calls
1 calls:
158.0ms
(/ (- (log 1.0) (fma 1/2 (* (/ x 1.0) (/ x 1.0)) (* 1.0 x))) (fma -1/2 (* (/ x 1.0) (/ x 1.0)) (fma 1.0 x (log 1.0))))

simplify4.5s

Counts
48 → 48
Iterations
IterNodes
done5006
32380
2628
1230
0101

prune540.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

localize119.0ms

Local error

Found 4 expressions with local error:

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

rewrite306.0ms

Algorithm
rewrite-expression-head
Rules
213×*-un-lft-identity
168×times-frac
165×add-sqr-sqrt
136×cbrt-prod
93×add-cube-cbrt
72×distribute-lft-out--
47×pow1
43×swap-sqr
36×log-pow
25×associate-*r* associate-*l*
24×difference-of-squares
18×associate-/l*
12×add-exp-log
10×add-cbrt-cube
9×associate-/r* unswap-sqr
7×div-inv
6×pow1/3 associate-/l/
4×expm1-log1p-u cbrt-div insert-posit16 log1p-expm1-u 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 → 261
Calls
4 calls:
51.0ms
(/ (- (log 1.0) (fma 1/2 (* (/ x 1.0) (/ x 1.0)) (* 1.0 x))) (fma -1/2 (* (/ x 1.0) (/ x 1.0)) (fma 1.0 x (log 1.0))))
37.0ms
(/ (- (log 1.0) (fma 1/2 (* (/ x 1.0) (/ x 1.0)) (* 1.0 x))) (fma -1/2 (* (/ x 1.0) (/ x 1.0)) (fma 1.0 x (log 1.0))))
62.0ms
(/ (- (log 1.0) (fma 1/2 (* (/ x 1.0) (/ x 1.0)) (* 1.0 x))) (fma -1/2 (* (/ x 1.0) (/ x 1.0)) (fma 1.0 x (log 1.0))))
119.0ms
(* (cbrt (/ (- (log 1.0) (fma 1/2 (* (/ x 1.0) (/ x 1.0)) (* 1.0 x))) (fma -1/2 (* (/ x 1.0) (/ x 1.0)) (fma 1.0 x (log 1.0))))) (cbrt (/ (- (log 1.0) (fma 1/2 (* (/ x 1.0) (/ x 1.0)) (* 1.0 x))) (fma -1/2 (* (/ x 1.0) (/ x 1.0)) (fma 1.0 x (log 1.0))))))

series1.2s

Counts
4 → 12
Calls
4 calls:
222.0ms
(/ (- (log 1.0) (fma 1/2 (* (/ x 1.0) (/ x 1.0)) (* 1.0 x))) (fma -1/2 (* (/ x 1.0) (/ x 1.0)) (fma 1.0 x (log 1.0))))
204.0ms
(/ (- (log 1.0) (fma 1/2 (* (/ x 1.0) (/ x 1.0)) (* 1.0 x))) (fma -1/2 (* (/ x 1.0) (/ x 1.0)) (fma 1.0 x (log 1.0))))
174.0ms
(/ (- (log 1.0) (fma 1/2 (* (/ x 1.0) (/ x 1.0)) (* 1.0 x))) (fma -1/2 (* (/ x 1.0) (/ x 1.0)) (fma 1.0 x (log 1.0))))
554.0ms
(* (cbrt (/ (- (log 1.0) (fma 1/2 (* (/ x 1.0) (/ x 1.0)) (* 1.0 x))) (fma -1/2 (* (/ x 1.0) (/ x 1.0)) (fma 1.0 x (log 1.0))))) (cbrt (/ (- (log 1.0) (fma 1/2 (* (/ x 1.0) (/ x 1.0)) (* 1.0 x))) (fma -1/2 (* (/ x 1.0) (/ x 1.0)) (fma 1.0 x (log 1.0))))))

simplify7.4s

Counts
273 → 273
Iterations
IterNodes
done5000
33946
21203
1487
0238

prune3.1s

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0.0b

regimes200.0ms

Accuracy

0% (0.4b remaining)

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

bsearch0.0ms

simplify10.0ms

Iterations
IterNodes
done14
114
013

end0.0ms

sample7.7s

Algorithm
intervals
Results
4.6s3426×body1280valid
1.6s2506×body640valid
623.0ms8000×pre80true
426.0ms1223×body320valid
110.0ms614×body160valid
17.0ms231×body80valid