Details

Time bar (total: 13.5s)

sample229.0ms

Algorithm
intervals
Results
54.0ms256×body80valid
45.0ms821×body80nan

simplify146.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (5.0ms)

IterNodesCost
067
187
297
done97

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 2 expressions with local error:

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

rewrite51.0ms

Algorithm
rewrite-expression-head
Rules
54×add-sqr-sqrt
48×*-un-lft-identity
44×add-cube-cbrt
39×prod-diff
38×times-frac
13×fma-neg
6×log-prod
4×div-inv add-log-exp difference-of-squares
3×pow1 add-exp-log
2×expm1-log1p-u log-div flip3-- add-cbrt-cube flip-- log1p-expm1-u distribute-lft-out--
1×sub-neg diff-log rem-log-exp log-pow
Counts
2 → 88
Calls
2 calls:
24.0ms
(- (/ 1.0 x) 1.0)
20.0ms
(log (- (/ 1.0 x) 1.0))

series130.0ms

Counts
2 → 6
Calls
2 calls:
46.0ms
(- (/ 1.0 x) 1.0)
83.0ms
(log (- (/ 1.0 x) 1.0))

simplify2.8s

Counts
94 → 94
Iterations

Useful iterations: done (2.8s)

IterNodesCost
01571601
13181202
2681993
32424816
done5000720

prune222.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize21.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (/ 1.0 x) 1.0)
0.0b
(- (/ 1.0 x) 1.0)
0.1b
(sqrt (- (/ 1.0 x) 1.0))
0.1b
(sqrt (- (/ 1.0 x) 1.0))

rewrite168.0ms

Algorithm
rewrite-expression-head
Rules
110×add-sqr-sqrt
96×*-un-lft-identity
88×add-cube-cbrt
78×prod-diff
76×times-frac
26×fma-neg
12×sqrt-prod
8×div-inv add-log-exp difference-of-squares
6×pow1
4×add-exp-log expm1-log1p-u flip3-- sqrt-div add-cbrt-cube flip-- log1p-expm1-u distribute-lft-out--
2×sub-neg rem-sqrt-square sqrt-pow1 pow1/2 diff-log
Counts
4 → 178
Calls
4 calls:
22.0ms
(- (/ 1.0 x) 1.0)
44.0ms
(- (/ 1.0 x) 1.0)
57.0ms
(sqrt (- (/ 1.0 x) 1.0))
32.0ms
(sqrt (- (/ 1.0 x) 1.0))

series254.0ms

Counts
4 → 12
Calls
4 calls:
55.0ms
(- (/ 1.0 x) 1.0)
50.0ms
(- (/ 1.0 x) 1.0)
66.0ms
(sqrt (- (/ 1.0 x) 1.0))
82.0ms
(sqrt (- (/ 1.0 x) 1.0))

simplify2.4s

Counts
190 → 190
Iterations

Useful iterations: done (2.4s)

IterNodesCost
01543218
13142398
26881996
327051640
done50011602

prune579.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0b

localize23.0ms

Local error

Found 4 expressions with local error:

0.1b
(sqrt (/ 1.0 x))
0.1b
(sqrt (/ 1.0 x))
0.1b
(sqrt (- (/ 1.0 x) 1.0))
0.5b
(* (sqrt (+ (sqrt (/ 1.0 x)) (sqrt 1.0))) (sqrt (- (sqrt (/ 1.0 x)) (sqrt 1.0))))

rewrite291.0ms

Algorithm
rewrite-expression-head
Rules
63×sqrt-prod
57×add-sqr-sqrt
33×*-un-lft-identity
23×add-cube-cbrt times-frac
16×sqrt-div
14×associate-*r*
11×pow1
8×associate-*l* difference-of-squares
6×add-exp-log add-cbrt-cube
5×rem-sqrt-square sqrt-pow1 pow1/2
4×expm1-log1p-u frac-times flip3-- flip-- log1p-expm1-u add-log-exp unswap-sqr
3×flip3-+ pow-prod-down flip-+ distribute-lft-out--
2×associate-*r/ associate-*l/ div-inv distribute-lft-out
1×sqrt-unprod prod-exp *-commutative cbrt-unprod
Counts
4 → 124
Calls
4 calls:
8.0ms
(sqrt (/ 1.0 x))
8.0ms
(sqrt (/ 1.0 x))
52.0ms
(sqrt (- (/ 1.0 x) 1.0))
216.0ms
(* (sqrt (+ (sqrt (/ 1.0 x)) (sqrt 1.0))) (sqrt (- (sqrt (/ 1.0 x)) (sqrt 1.0))))

series831.0ms

Counts
4 → 12
Calls
4 calls:
102.0ms
(sqrt (/ 1.0 x))
91.0ms
(sqrt (/ 1.0 x))
73.0ms
(sqrt (- (/ 1.0 x) 1.0))
565.0ms
(* (sqrt (+ (sqrt (/ 1.0 x)) (sqrt 1.0))) (sqrt (- (sqrt (/ 1.0 x)) (sqrt 1.0))))

simplify1.5s

Counts
136 → 136
Iterations

Useful iterations: done (1.4s)

IterNodesCost
02772291
16161944
217371865
done50001827

prune953.0ms

Pruning

1 alts after pruning (0 fresh and 1 done)

Merged error: 0b

simplify9.0ms

Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01627
12227
22327
done2327

end0.0ms

sample2.9s

Algorithm
intervals
Results
1.2s23838×body80nan
903.0ms8000×body80valid