Details

Time bar (total: 7.8s)

sample30.0ms

Algorithm
intervals
Results
14.0ms256×body80valid

simplify10.0ms

Counts
1 → 1
Iterations
IterNodes
done12
212
111
07

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize20.0ms

Local error

Found 3 expressions with local error:

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

rewrite124.0ms

Algorithm
rewrite-expression-head
Rules
75×*-un-lft-identity
50×times-frac
45×add-sqr-sqrt
31×add-cube-cbrt
21×fma-def
11×distribute-lft-out
9×associate-/r* distribute-lft-out--
7×add-cbrt-cube add-exp-log difference-of-squares
6×associate-/r/ associate-/l*
5×add-log-exp
3×expm1-log1p-u pow1 log1p-expm1-u div-inv
2×cbrt-undiv clear-num frac-2neg flip3-+ flip3-- div-exp flip-+ flip--
1×+-commutative sum-log frac-add
Counts
3 → 114
Calls
3 calls:
18.0ms
(/ x (+ x 1.0))
85.0ms
(+ (/ 1.0 (- x 1.0)) (/ x (+ x 1.0)))
17.0ms
(/ 1.0 (- x 1.0))

series277.0ms

Counts
3 → 9
Calls
3 calls:
62.0ms
(/ x (+ x 1.0))
182.0ms
(+ (/ 1.0 (- x 1.0)) (/ x (+ x 1.0)))
33.0ms
(/ 1.0 (- x 1.0))

simplify1.4s

Counts
123 → 123
Iterations
IterNodes
done5000
21736
1431
0175

prune474.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize17.0ms

Local error

Found 4 expressions with local error:

0.0b
(log1p (expm1 (+ (/ x (+ 1.0 x)) (/ 1.0 (- x 1.0)))))
0.0b
(+ (/ x (+ 1.0 x)) (/ 1.0 (- x 1.0)))
0.0b
(/ 1.0 (- x 1.0))
0.5b
(expm1 (+ (/ x (+ 1.0 x)) (/ 1.0 (- x 1.0))))

rewrite105.0ms

Algorithm
rewrite-expression-head
Rules
58×*-un-lft-identity
35×times-frac
30×add-sqr-sqrt
22×add-cube-cbrt
18×fma-def
10×distribute-lft-out
6×add-cbrt-cube add-exp-log distribute-lft-out-- add-log-exp
5×associate-/r* log1p-expm1-u
4×expm1-log1p-u pow1 associate-/r/ difference-of-squares
3×associate-/l*
2×flip3-+ flip-+ div-inv
1×cbrt-undiv +-commutative log1p-udef expm1-log1p clear-num sum-log frac-2neg flip3-- div-exp frac-add log1p-expm1 flip-- expm1-udef
Counts
4 → 98
Calls
4 calls:
0.0ms
(log1p (expm1 (+ (/ x (+ 1.0 x)) (/ 1.0 (- x 1.0)))))
91.0ms
(+ (/ x (+ 1.0 x)) (/ 1.0 (- x 1.0)))
9.0ms
(/ 1.0 (- x 1.0))
0.0ms
(expm1 (+ (/ x (+ 1.0 x)) (/ 1.0 (- x 1.0))))

series927.0ms

Counts
4 → 12
Calls
4 calls:
381.0ms
(log1p (expm1 (+ (/ x (+ 1.0 x)) (/ 1.0 (- x 1.0)))))
153.0ms
(+ (/ x (+ 1.0 x)) (/ 1.0 (- x 1.0)))
36.0ms
(/ 1.0 (- x 1.0))
356.0ms
(expm1 (+ (/ x (+ 1.0 x)) (/ 1.0 (- x 1.0))))

simplify854.0ms

Counts
110 → 110
Iterations
IterNodes
done5001
21414
1393
0164

prune503.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize23.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (/ 1.0 (- x 1.0)) (log1p (expm1 (/ x (+ 1.0 x)))))
0.0b
(/ 1.0 (- x 1.0))
0.0b
(log1p (expm1 (/ x (+ 1.0 x))))
0.5b
(expm1 (/ x (+ 1.0 x)))

rewrite61.0ms

Algorithm
rewrite-expression-head
Rules
39×*-un-lft-identity
37×add-sqr-sqrt
30×times-frac
23×add-cube-cbrt
21×fma-def
7×distribute-lft-out-- add-log-exp difference-of-squares
6×add-cbrt-cube add-exp-log
5×associate-/r* log1p-expm1-u
4×expm1-log1p-u pow1 associate-/r/
3×associate-/l*
2×log1p-udef sum-log flip3-- div-inv flip--
1×cbrt-undiv +-commutative expm1-log1p clear-num frac-2neg flip3-+ div-exp log1p-expm1 flip-+ distribute-lft-out expm1-udef
Counts
4 → 97
Calls
4 calls:
46.0ms
(+ (/ 1.0 (- x 1.0)) (log1p (expm1 (/ x (+ 1.0 x)))))
12.0ms
(/ 1.0 (- x 1.0))
0.0ms
(log1p (expm1 (/ x (+ 1.0 x))))
0.0ms
(expm1 (/ x (+ 1.0 x)))

series771.0ms

Counts
4 → 12
Calls
4 calls:
420.0ms
(+ (/ 1.0 (- x 1.0)) (log1p (expm1 (/ x (+ 1.0 x)))))
45.0ms
(/ 1.0 (- x 1.0))
210.0ms
(log1p (expm1 (/ x (+ 1.0 x))))
95.0ms
(expm1 (/ x (+ 1.0 x)))

simplify1.1s

Counts
109 → 109
Iterations
IterNodes
done5000
21356
1383
0161

prune530.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes47.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations
IterNodes
done11
111
09

end0.0ms

sample641.0ms

Algorithm
intervals
Results
457.0ms8000×body80valid