Details

Time bar (total: 16.0s)

sample279.0ms

Algorithm
intervals
Results
174.0ms113×body1280valid
62.0ms85×body640valid
12.0ms32×body320valid
6.0ms256×pre80true
4.0ms21×body160valid
0.0ms5×body80valid

simplify7.0ms

Counts
1 → 1
Iterations
IterNodes
done11
211
110
07

prune38.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 61.3b

localize12.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (log (- 1.0 x)) (log (+ x 1.0)))
5.7b
(log (+ x 1.0))
5.7b
(log (- 1.0 x))

rewrite25.0ms

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 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 → 75
Calls
3 calls:
14.0ms
(/ (log (- 1.0 x)) (log (+ x 1.0)))
5.0ms
(log (+ x 1.0))
5.0ms
(log (- 1.0 x))

series365.0ms

Counts
3 → 9
Calls
3 calls:
217.0ms
(/ (log (- 1.0 x)) (log (+ x 1.0)))
74.0ms
(log (+ x 1.0))
74.0ms
(log (- 1.0 x))

simplify1.2s

Counts
84 → 84
Iterations
IterNodes
done5000
21889
1468
0198

prune405.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 59.3b

localize33.0ms

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))))
5.7b
(log (- 1.0 x))

rewrite39.0ms

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 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 → 53
Calls
2 calls:
26.0ms
(/ (log (- 1.0 x)) (fma -1/2 (* (/ x 1.0) (/ x 1.0)) (fma 1.0 x (log 1.0))))
10.0ms
(log (- 1.0 x))

series265.0ms

Counts
2 → 6
Calls
2 calls:
183.0ms
(/ (log (- 1.0 x)) (fma -1/2 (* (/ x 1.0) (/ x 1.0)) (fma 1.0 x (log 1.0))))
82.0ms
(log (- 1.0 x))

simplify890.0ms

Counts
59 → 59
Iterations
IterNodes
done5001
21665
1433
0182

prune316.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize39.0ms

Local error

Found 1 expressions with local error:

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

rewrite31.0ms

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 log1p-expm1-u div-inv flip-- add-log-exp
Counts
1 → 44
Calls
1 calls:
29.0ms
(/ (- (log 1.0) (fma (/ (/ (pow x 2) 1.0) 1.0) 1/2 (* x 1.0))) (fma -1/2 (* (/ x 1.0) (/ x 1.0)) (fma 1.0 x (log 1.0))))

series144.0ms

Counts
1 → 3
Calls
1 calls:
143.0ms
(/ (- (log 1.0) (fma (/ (/ (pow x 2) 1.0) 1.0) 1/2 (* x 1.0))) (fma -1/2 (* (/ x 1.0) (/ x 1.0)) (fma 1.0 x (log 1.0))))

simplify963.0ms

Counts
47 → 47
Iterations
IterNodes
done5001
2827
1233
0102

prune329.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

localize31.0ms

Local error

Found 2 expressions with local error:

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

rewrite56.0ms

Algorithm
rewrite-expression-head
Rules
162×times-frac
126×*-un-lft-identity
110×add-sqr-sqrt
78×add-cube-cbrt
32×distribute-lft-out--
30×associate-/r*
19×pow1
16×log-pow difference-of-squares
15×add-exp-log
11×associate-/r/
9×add-cbrt-cube
8×div-exp
6×div-inv associate-/l*
5×flip3-- flip--
4×cbrt-undiv
2×expm1-log1p-u rec-exp clear-num frac-2neg 1-exp log1p-expm1-u add-log-exp
1×pow-flip inv-pow
Counts
2 → 165
Calls
2 calls:
35.0ms
(/ 1 (/ (fma (* (/ x 1.0) (/ x 1.0)) -1/2 (fma 1.0 x (log 1.0))) (- (log 1.0) (fma 1.0 x (* (/ (pow x 2) 1.0) (/ 1/2 1.0))))))
13.0ms
(/ (fma (* (/ x 1.0) (/ x 1.0)) -1/2 (fma 1.0 x (log 1.0))) (- (log 1.0) (fma 1.0 x (* (/ (pow x 2) 1.0) (/ 1/2 1.0)))))

series239.0ms

Counts
2 → 6
Calls
2 calls:
113.0ms
(/ 1 (/ (fma (* (/ x 1.0) (/ x 1.0)) -1/2 (fma 1.0 x (log 1.0))) (- (log 1.0) (fma 1.0 x (* (/ (pow x 2) 1.0) (/ 1/2 1.0))))))
125.0ms
(/ (fma (* (/ x 1.0) (/ x 1.0)) -1/2 (fma 1.0 x (log 1.0))) (- (log 1.0) (fma 1.0 x (* (/ (pow x 2) 1.0) (/ 1/2 1.0)))))

simplify1.6s

Counts
171 → 171
Iterations
IterNodes
done5000
22925
1587
0238

prune738.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0.0b

regimes51.0ms

Accuracy

0% (0.4b remaining)

Error of 0.4b against oracle of 0.0b and baseline of 0.4b

bsearch0.0ms

simplify2.0ms

Iterations
IterNodes
done18
118
017

end0.0ms

sample7.9s

Algorithm
intervals
Results
5.1s3373×body1280valid
1.7s2524×body640valid
456.0ms1252×body320valid
204.0ms8000×pre80true
121.0ms642×body160valid
16.0ms209×body80valid