Details

Time bar (total: 17.4s)

sample201.0ms

Algorithm
intervals
Results
130.0ms118×body1280valid
41.0ms75×body640valid
9.0ms32×body320valid
4.0ms256×pre80true
4.0ms23×body160valid
1.0ms8×body80valid

simplify4.0ms

Counts
1 → 1
Iterations
IterNodes
done11
211
110
07

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 61.2b

localize12.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (log (- 1.0 x)) (log (+ 1.0 x)))
6.3b
(log (- 1.0 x))
6.4b
(log (+ 1.0 x))

rewrite69.0ms

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:
51.0ms
(/ (log (- 1.0 x)) (log (+ 1.0 x)))
9.0ms
(log (- 1.0 x))
5.0ms
(log (+ 1.0 x))

series291.0ms

Counts
3 → 9
Calls
3 calls:
172.0ms
(/ (log (- 1.0 x)) (log (+ 1.0 x)))
64.0ms
(log (- 1.0 x))
55.0ms
(log (+ 1.0 x))

simplify1.7s

Counts
84 → 84
Iterations
IterNodes
done5000
21839
1457
0191

prune407.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 58.6b

localize35.0ms

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))))
6.3b
(log (- 1.0 x))

rewrite31.0ms

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))))
10.0ms
(log (- 1.0 x))

series286.0ms

Counts
2 → 6
Calls
2 calls:
214.0ms
(/ (log (- 1.0 x)) (fma (* (/ x 1.0) (/ x 1.0)) -1/2 (fma x 1.0 (log 1.0))))
71.0ms
(log (- 1.0 x))

simplify1.3s

Counts
59 → 59
Iterations
IterNodes
done5001
21659
1433
0182

prune450.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize20.0ms

Local error

Found 1 expressions with local error:

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

rewrite30.0ms

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:
27.0ms
(/ (- (log 1.0) (fma (* (/ x 1.0) (/ x 1.0)) 1/2 (* 1.0 x))) (fma (* (/ x 1.0) (/ x 1.0)) -1/2 (fma x 1.0 (log 1.0))))

series146.0ms

Counts
1 → 3
Calls
1 calls:
146.0ms
(/ (- (log 1.0) (fma (* (/ x 1.0) (/ x 1.0)) 1/2 (* 1.0 x))) (fma (* (/ x 1.0) (/ x 1.0)) -1/2 (fma x 1.0 (log 1.0))))

simplify1.5s

Counts
47 → 47
Iterations
IterNodes
done5000
2823
1229
0100

prune301.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize42.0ms

Local error

Found 3 expressions with local error:

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

rewrite103.0ms

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:
32.0ms
(exp (/ (- (log 1.0) (fma (* (/ x 1.0) (/ x 1.0)) 1/2 (* 1.0 x))) (fma (* (/ x 1.0) (/ x 1.0)) -1/2 (fma x 1.0 (log 1.0)))))
27.0ms
(log (exp (/ (- (log 1.0) (fma (* (/ x 1.0) (/ x 1.0)) 1/2 (* 1.0 x))) (fma (* (/ x 1.0) (/ x 1.0)) -1/2 (fma x 1.0 (log 1.0))))))
36.0ms
(/ (- (log 1.0) (fma (* (/ x 1.0) (/ x 1.0)) 1/2 (* 1.0 x))) (fma (* (/ x 1.0) (/ x 1.0)) -1/2 (fma x 1.0 (log 1.0))))

series492.0ms

Counts
3 → 9
Calls
3 calls:
196.0ms
(exp (/ (- (log 1.0) (fma (* (/ x 1.0) (/ x 1.0)) 1/2 (* 1.0 x))) (fma (* (/ x 1.0) (/ x 1.0)) -1/2 (fma x 1.0 (log 1.0)))))
152.0ms
(log (exp (/ (- (log 1.0) (fma (* (/ x 1.0) (/ x 1.0)) 1/2 (* 1.0 x))) (fma (* (/ x 1.0) (/ x 1.0)) -1/2 (fma x 1.0 (log 1.0))))))
144.0ms
(/ (- (log 1.0) (fma (* (/ x 1.0) (/ x 1.0)) 1/2 (* 1.0 x))) (fma (* (/ x 1.0) (/ x 1.0)) -1/2 (fma x 1.0 (log 1.0))))

simplify1.4s

Counts
123 → 123
Iterations
IterNodes
done5001
21143
1350
0175

prune771.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

regimes143.0ms

Accuracy

0% (0.3b remaining)

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

bsearch0.0ms

simplify8.0ms

Iterations
IterNodes
done16
116
015

end0.0ms

sample7.6s

Algorithm
intervals
Results
4.5s3419×body1280valid
1.6s2441×body640valid
887.0ms1298×body320valid
185.0ms634×body160valid
141.0ms8000×pre80true
69.0ms208×body80valid