Details

Time bar (total: 17.1s)

sample307.0ms

Algorithm
intervals
Results
187.0ms115×body1280valid
67.0ms78×body640valid
18.0ms36×body320valid
16.0ms256×pre80true
6.0ms21×body160valid
1.0msbody80valid

simplify11.0ms

Counts
1 → 1
Iterations
IterNodes
done15
215
113
07

prune17.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 59.8b

localize23.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (log (- 1 x)) (log1p x))
5.2b
(log (- 1 x))

rewrite40.0ms

Algorithm
rewrite-expression-head
Rules
15×add-sqr-sqrt *-un-lft-identity
12×times-frac add-cube-cbrt
pow1
log-prod
add-exp-log log-pow
log-div add-cbrt-cube associate-/l*
associate-/r*
expm1-log1p-u log1p-def flip3-- div-sub insert-posit16 log1p-expm1-u flip-- add-log-exp difference-of-squares
cbrt-undiv clear-num sub-neg frac-2neg div-exp rem-log-exp div-inv distribute-lft-out--
Counts
2 → 58
Calls
2 calls:
29.0ms
(/ (log (- 1 x)) (log1p x))
10.0ms
(log (- 1 x))

series137.0ms

Counts
2 → 6
Calls
2 calls:
102.0ms
(/ (log (- 1 x)) (log1p x))
35.0ms
(log (- 1 x))

simplify1.1s

Counts
64 → 64
Iterations
IterNodes
done2006
32006
21105
1383
0163

prune307.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize22.0ms

Local error

Found 1 expressions with local error:

0.0b
(/ (log1p (- x)) (log1p x))

rewrite9.0ms

Algorithm
rewrite-expression-head
Rules
add-sqr-sqrt *-un-lft-identity times-frac add-cube-cbrt
associate-/r* add-cbrt-cube add-exp-log associate-/l*
expm1-log1p-u pow1 cbrt-undiv clear-num frac-2neg div-exp insert-posit16 log1p-expm1-u div-inv add-log-exp
Counts
1 → 30
Calls
1 calls:
8.0ms
(/ (log1p (- x)) (log1p x))

series110.0ms

Counts
1 → 3
Calls
1 calls:
110.0ms
(/ (log1p (- x)) (log1p x))

simplify1.1s

Counts
33 → 33
Iterations
IterNodes
done2008
32008
2883
1265
0112

prune125.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize42.0ms

Local error

Found 4 expressions with local error:

0.0b
(cbrt (/ (log1p (- x)) (log1p x)))
0.0b
(/ (log1p (- x)) (log1p x))
0.0b
(/ (log1p (- x)) (log1p x))
0.0b
(/ (log1p (- x)) (log1p x))

rewrite30.0ms

Algorithm
rewrite-expression-head
Rules
36×times-frac
35×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
13×cbrt-prod
10×add-cbrt-cube add-exp-log
associate-/r* associate-/l*
expm1-log1p-u pow1 insert-posit16 log1p-expm1-u div-inv add-log-exp
cbrt-undiv clear-num frac-2neg div-exp
cbrt-div pow1/3
Counts
4 → 115
Calls
4 calls:
3.0ms
(cbrt (/ (log1p (- x)) (log1p x)))
8.0ms
(/ (log1p (- x)) (log1p x))
8.0ms
(/ (log1p (- x)) (log1p x))
9.0ms
(/ (log1p (- x)) (log1p x))

series543.0ms

Counts
4 → 12
Calls
4 calls:
223.0ms
(cbrt (/ (log1p (- x)) (log1p x)))
102.0ms
(/ (log1p (- x)) (log1p x))
118.0ms
(/ (log1p (- x)) (log1p x))
101.0ms
(/ (log1p (- x)) (log1p x))

simplify1.9s

Counts
127 → 127
Iterations
IterNodes
done2000
22000
1858
0307

prune668.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize17.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (log (- 1 (* x x))) (log1p x))
2.1b
(log (- 1 (* x x)))

rewrite29.0ms

Algorithm
rewrite-expression-head
Rules
13×add-sqr-sqrt *-un-lft-identity
12×times-frac add-cube-cbrt
pow1
log-prod add-exp-log log-pow
log-div add-cbrt-cube associate-/l*
associate-/r*
expm1-log1p-u log1p-def flip3-- div-sub insert-posit16 log1p-expm1-u flip-- add-log-exp difference-of-squares
cbrt-undiv clear-num sub-neg frac-2neg div-exp rem-log-exp div-inv
Counts
2 → 57
Calls
2 calls:
18.0ms
(/ (log (- 1 (* x x))) (log1p x))
11.0ms
(log (- 1 (* x x)))

series249.0ms

Counts
2 → 6
Calls
2 calls:
145.0ms
(/ (log (- 1 (* x x))) (log1p x))
103.0ms
(log (- 1 (* x x)))

simplify1.0s

Counts
63 → 63
Iterations
IterNodes
done2000
32000
21352
1425
0179

prune286.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0b

simplify2.0ms

Iterations
IterNodes
done11
111
08

end0.0ms

sample9.0s

Algorithm
intervals
Results
5.2s3479×body1280valid
2.1s2400×body640valid
568.0ms624×body160valid
561.0ms1260×body320valid
340.0ms8000×pre80true
27.0ms237×body80valid