Details

Time bar (total: 14.5s)

sample207.0ms

Algorithm
intervals
Results
119.0ms97×body1280valid
45.0ms77×body640valid
16.0ms54×body320valid
5.0ms256×pre80true
4.0ms23×body160valid
0.0ms5×body80valid

simplify7.0ms

Counts
1 → 1
Iterations
IterNodes
done11
211
110
07

prune20.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 61.7b

localize14.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (log (- 1.0 x)) (log (+ 1.0 x)))
6.1b
(log (- 1.0 x))
6.3b
(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 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:
19.0ms
(/ (log (- 1.0 x)) (log (+ 1.0 x)))
10.0ms
(log (- 1.0 x))
7.0ms
(log (+ 1.0 x))

series296.0ms

Counts
3 → 9
Calls
3 calls:
164.0ms
(/ (log (- 1.0 x)) (log (+ 1.0 x)))
74.0ms
(log (- 1.0 x))
58.0ms
(log (+ 1.0 x))

simplify1.2s

Counts
84 → 84
Iterations
IterNodes
done5000
21839
1457
0191

prune396.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 59.2b

localize16.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (log (- 1.0 x)) (fma (* (/ x 1.0) (/ x 1.0)) -1/2 (fma x 1.0 (log 1.0))))
6.1b
(log (- 1.0 x))

rewrite30.0ms

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:
20.0ms
(/ (log (- 1.0 x)) (fma (* (/ x 1.0) (/ x 1.0)) -1/2 (fma x 1.0 (log 1.0))))
9.0ms
(log (- 1.0 x))

series188.0ms

Counts
2 → 6
Calls
2 calls:
132.0ms
(/ (log (- 1.0 x)) (fma (* (/ x 1.0) (/ x 1.0)) -1/2 (fma x 1.0 (log 1.0))))
55.0ms
(log (- 1.0 x))

simplify790.0ms

Counts
59 → 59
Iterations
IterNodes
done5001
21659
1433
0182

prune336.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.1b

localize31.0ms

Local error

Found 1 expressions with local error:

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

rewrite45.0ms

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:
42.0ms
(/ (- (log 1.0) (fma (/ 1/2 1.0) (/ (* x x) 1.0) (* 1.0 x))) (fma (* (/ x 1.0) (/ x 1.0)) -1/2 (fma x 1.0 (log 1.0))))

series145.0ms

Counts
1 → 3
Calls
1 calls:
145.0ms
(/ (- (log 1.0) (fma (/ 1/2 1.0) (/ (* x x) 1.0) (* 1.0 x))) (fma (* (/ x 1.0) (/ x 1.0)) -1/2 (fma x 1.0 (log 1.0))))

simplify625.0ms

Counts
47 → 47
Iterations
IterNodes
done5000
2827
1233
0103

prune315.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.1b

localize31.0ms

Local error

Found 3 expressions with local error:

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

rewrite125.0ms

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-cbrt-cube add-exp-log
4×add-log-exp
3×expm1-log1p-u log-prod associate-/r* div-sub log1p-expm1-u div-inv
2×exp-diff associate-/l/
1×cbrt-undiv log-div clear-num frac-2neg flip3-- div-exp rem-log-exp flip-- rem-exp-log
Counts
3 → 114
Calls
3 calls:
41.0ms
(log (exp (/ (- (log 1.0) (fma (/ (* x x) 1.0) (/ 1/2 1.0) (* x 1.0))) (fma (/ x 1.0) (/ (* x -1/2) 1.0) (fma x 1.0 (log 1.0))))))
35.0ms
(exp (/ (- (log 1.0) (fma (/ (* x x) 1.0) (/ 1/2 1.0) (* x 1.0))) (fma (/ x 1.0) (/ (* x -1/2) 1.0) (fma x 1.0 (log 1.0)))))
44.0ms
(/ (- (log 1.0) (fma (/ (* x x) 1.0) (/ 1/2 1.0) (* x 1.0))) (fma (/ x 1.0) (/ (* x -1/2) 1.0) (fma x 1.0 (log 1.0))))

series505.0ms

Counts
3 → 9
Calls
3 calls:
172.0ms
(log (exp (/ (- (log 1.0) (fma (/ (* x x) 1.0) (/ 1/2 1.0) (* x 1.0))) (fma (/ x 1.0) (/ (* x -1/2) 1.0) (fma x 1.0 (log 1.0))))))
186.0ms
(exp (/ (- (log 1.0) (fma (/ (* x x) 1.0) (/ 1/2 1.0) (* x 1.0))) (fma (/ x 1.0) (/ (* x -1/2) 1.0) (fma x 1.0 (log 1.0)))))
147.0ms
(/ (- (log 1.0) (fma (/ (* x x) 1.0) (/ 1/2 1.0) (* x 1.0))) (fma (/ x 1.0) (/ (* x -1/2) 1.0) (fma x 1.0 (log 1.0))))

simplify636.0ms

Counts
123 → 123
Iterations
IterNodes
done5001
21146
1353
0179

prune828.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.1b

regimes134.0ms

Accuracy

0% (0.3b remaining)

Error of 0.4b against oracle of 0.1b and baseline of 0.4b

bsearch0.0ms

simplify9.0ms

Iterations
IterNodes
done25
125
020

end0.0ms

sample7.5s

Algorithm
intervals
Results
4.6s3351×body1280valid
1.5s2503×body640valid
825.0ms1297×body320valid
151.0ms8000×pre80true
110.0ms626×body160valid
18.0ms223×body80valid