Details

Time bar (total: 20.5s)

sample234.0ms

Algorithm
intervals
Results
157.0ms123×body1280valid
43.0ms74×body640valid
9.0ms33×body320valid
5.0ms256×pre80true
3.0ms19×body160valid
0.0ms7×body80valid

simplify4.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
079
1109
2119
done119

prune18.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 61.9b

localize17.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (log (- 1.0 x)) (log (+ 1.0 x)))
4.9b
(log (- 1.0 x))
5.0b
(log (+ 1.0 x))

rewrite38.0ms

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 frac-2neg flip3-+ div-exp clear-num flip-+ div-inv distribute-lft-out distribute-lft-out-- difference-of-squares
Counts
3 → 75
Calls
3 calls:
18.0ms
(/ (log (- 1.0 x)) (log (+ 1.0 x)))
8.0ms
(log (- 1.0 x))
9.0ms
(log (+ 1.0 x))

series389.0ms

Counts
3 → 9
Calls
3 calls:
219.0ms
(/ (log (- 1.0 x)) (log (+ 1.0 x)))
82.0ms
(log (- 1.0 x))
87.0ms
(log (+ 1.0 x))

simplify3.5s

Counts
84 → 84
Iterations

Useful iterations: 3 (1.6s)

IterNodesCost
01921243
14531173
213211093
346501039
done50001039

prune361.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 59.2b

localize17.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (log (- 1.0 x)) (fma -1/2 (/ (pow x 2) (pow 1.0 2)) (fma 1.0 x (log 1.0))))
4.9b
(log (- 1.0 x))

rewrite39.0ms

Algorithm
rewrite-expression-head
Rules
14×add-sqr-sqrt *-un-lft-identity
12×add-cube-cbrt times-frac
7×pow1
5×add-exp-log log-prod log-pow
4×log-div add-cbrt-cube associate-/l*
3×associate-/r*
2×expm1-log1p-u flip3-- div-sub flip-- log1p-expm1-u add-log-exp
1×cbrt-undiv frac-2neg div-exp rem-log-exp clear-num div-inv distribute-lft-out-- difference-of-squares
Counts
2 → 53
Calls
2 calls:
29.0ms
(/ (log (- 1.0 x)) (fma -1/2 (/ (pow x 2) (pow 1.0 2)) (fma 1.0 x (log 1.0))))
7.0ms
(log (- 1.0 x))

series288.0ms

Counts
2 → 6
Calls
2 calls:
194.0ms
(/ (log (- 1.0 x)) (fma -1/2 (/ (pow x 2) (pow 1.0 2)) (fma 1.0 x (log 1.0))))
95.0ms
(log (- 1.0 x))

simplify2.8s

Counts
59 → 59
Iterations

Useful iterations: done (2.8s)

IterNodesCost
01811508
14231463
212441364
345241346
done50001343

prune351.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 1 expressions with local error:

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

rewrite27.0ms

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×add-exp-log associate-/r* add-cbrt-cube
2×associate-/l/
1×cbrt-undiv expm1-log1p-u flip3-- frac-2neg div-sub div-exp clear-num flip-- log1p-expm1-u div-inv add-log-exp
Counts
1 → 44
Calls
1 calls:
25.0ms
(/ (- (log 1.0) (fma 1.0 x (* 1/2 (/ (pow x 2) (pow 1.0 2))))) (fma -1/2 (/ (pow x 2) (pow 1.0 2)) (fma 1.0 x (log 1.0))))

series158.0ms

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

simplify1.7s

Counts
47 → 47
Iterations

Useful iterations: done (1.7s)

IterNodesCost
01002108
12242075
25971948
321631945
done50021943

prune264.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize28.0ms

Local error

Found 3 expressions with local error:

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

rewrite111.0ms

Algorithm
rewrite-expression-head
Rules
65×*-un-lft-identity
55×add-sqr-sqrt
54×times-frac
44×exp-prod
35×add-cube-cbrt
33×log-pow
20×distribute-lft-out--
14×pow1
10×difference-of-squares
6×associate-/l*
5×add-exp-log add-cbrt-cube
4×add-log-exp
3×expm1-log1p-u log-prod div-sub associate-/r* log1p-expm1-u div-inv
2×exp-diff associate-/l/
1×cbrt-undiv log-div flip3-- frac-2neg div-exp rem-log-exp clear-num flip-- rem-exp-log
Counts
3 → 114
Calls
3 calls:
39.0ms
(log (exp (/ (- (log 1.0) (fma 1.0 x (* 1/2 (/ (pow x 2) (pow 1.0 2))))) (fma -1/2 (/ (pow x 2) (pow 1.0 2)) (fma 1.0 x (log 1.0))))))
35.0ms
(/ (- (log 1.0) (fma 1.0 x (* 1/2 (/ (pow x 2) (pow 1.0 2))))) (fma -1/2 (/ (pow x 2) (pow 1.0 2)) (fma 1.0 x (log 1.0))))
27.0ms
(exp (/ (- (log 1.0) (fma 1.0 x (* 1/2 (/ (pow x 2) (pow 1.0 2))))) (fma -1/2 (/ (pow x 2) (pow 1.0 2)) (fma 1.0 x (log 1.0)))))

series602.0ms

Counts
3 → 9
Calls
3 calls:
173.0ms
(log (exp (/ (- (log 1.0) (fma 1.0 x (* 1/2 (/ (pow x 2) (pow 1.0 2))))) (fma -1/2 (/ (pow x 2) (pow 1.0 2)) (fma 1.0 x (log 1.0))))))
190.0ms
(/ (- (log 1.0) (fma 1.0 x (* 1/2 (/ (pow x 2) (pow 1.0 2))))) (fma -1/2 (/ (pow x 2) (pow 1.0 2)) (fma 1.0 x (log 1.0))))
238.0ms
(exp (/ (- (log 1.0) (fma 1.0 x (* 1/2 (/ (pow x 2) (pow 1.0 2))))) (fma -1/2 (/ (pow x 2) (pow 1.0 2)) (fma 1.0 x (log 1.0)))))

simplify1.9s

Counts
123 → 123
Iterations

Useful iterations: done (1.9s)

IterNodesCost
01754621
13364474
28214187
327394175
done50004169

prune631.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

regimes75.0ms

Accuracy

0% (0.4b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01732
11832
done1832

end0.0ms

sample7.0s

Algorithm
intervals
Results
4.0s3463×body1280valid
1.6s2493×body640valid
799.0ms1210×body320valid
171.0ms8000×pre80true
137.0ms600×body160valid
17.0ms234×body80valid