Details

Time bar (total: 4.0s)

sample38.0ms

Algorithm
intervals
Results
13.0ms775×body80nan
7.0ms256×body80valid

simplify4.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
084
194
294
done94

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 1 expressions with local error:

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

rewrite12.0ms

Algorithm
rewrite-expression-head
Rules
7×add-sqr-sqrt
6×log-prod
4×*-un-lft-identity
2×pow1 add-exp-log add-cube-cbrt log-div difference-of-squares
1×flip3-- times-frac rem-log-exp log-pow add-cbrt-cube flip-- distribute-lft-out-- add-log-exp
Counts
1 → 17
Calls
1 calls:
11.0ms
(log (- (/ 1.0 x) 1.0))

series65.0ms

Counts
1 → 3
Calls
1 calls:
65.0ms
(log (- (/ 1.0 x) 1.0))

simplify59.0ms

Counts
20 → 20
Iterations

Useful iterations: 2 (12.0ms)

IterNodesCost
0153144
1424131
21814130
35001130
done5001130

prune47.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize8.0ms

Local error

Found 4 expressions with local error:

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

rewrite67.0ms

Algorithm
rewrite-expression-head
Rules
32×add-sqr-sqrt
24×sqrt-prod
18×log-prod *-un-lft-identity
10×pow1 add-cube-cbrt
8×sqrt-div difference-of-squares
6×add-exp-log log-pow
4×log-div flip3-- sqrt-pow1 times-frac pow1/2 add-cbrt-cube flip-- distribute-lft-out-- add-log-exp
2×rem-sqrt-square rem-log-exp
Counts
4 → 80
Calls
4 calls:
12.0ms
(log (sqrt (- (/ 1.0 x) 1.0)))
12.0ms
(log (sqrt (- (/ 1.0 x) 1.0)))
22.0ms
(sqrt (- (/ 1.0 x) 1.0))
19.0ms
(sqrt (- (/ 1.0 x) 1.0))

series359.0ms

Counts
4 → 12
Calls
4 calls:
121.0ms
(log (sqrt (- (/ 1.0 x) 1.0)))
130.0ms
(log (sqrt (- (/ 1.0 x) 1.0)))
52.0ms
(sqrt (- (/ 1.0 x) 1.0))
57.0ms
(sqrt (- (/ 1.0 x) 1.0))

simplify77.0ms

Counts
92 → 92
Iterations

Useful iterations: 3 (71.0ms)

IterNodesCost
0212728
1576678
22493660
35002648
done5002648

prune246.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0b

localize19.0ms

Local error

Found 4 expressions with local error:

0.2b
(sqrt (- (/ (sqrt 1.0) (sqrt x)) (sqrt 1.0)))
0.3b
(/ (sqrt 1.0) (sqrt x))
0.3b
(/ (sqrt 1.0) (sqrt x))
0.6b
(* (sqrt (+ (/ (sqrt 1.0) (sqrt x)) (sqrt 1.0))) (sqrt (- (/ (sqrt 1.0) (sqrt x)) (sqrt 1.0))))

rewrite307.0ms

Algorithm
rewrite-expression-head
Rules
146×sqrt-prod
130×add-sqr-sqrt
88×times-frac
71×*-un-lft-identity
65×add-cube-cbrt
20×difference-of-squares
17×associate-*r*
14×sqrt-div
12×associate-/r* associate-/l*
10×add-exp-log add-cbrt-cube
9×pow1
7×associate-*l*
4×frac-times flip3-- flip-- add-log-exp unswap-sqr
3×sqrt-pow1 flip3-+ pow1/2 pow-prod-down flip-+
2×cbrt-undiv sqrt-undiv frac-2neg associate-*r/ div-exp associate-*l/ clear-num div-inv distribute-lft-out--
1×rem-sqrt-square sqrt-unprod prod-exp *-commutative cbrt-unprod distribute-lft-out
Counts
4 → 198
Calls
4 calls:
53.0ms
(sqrt (- (/ (sqrt 1.0) (sqrt x)) (sqrt 1.0)))
8.0ms
(/ (sqrt 1.0) (sqrt x))
8.0ms
(/ (sqrt 1.0) (sqrt x))
228.0ms
(* (sqrt (+ (/ (sqrt 1.0) (sqrt x)) (sqrt 1.0))) (sqrt (- (/ (sqrt 1.0) (sqrt x)) (sqrt 1.0))))

series833.0ms

Counts
4 → 12
Calls
4 calls:
229.0ms
(sqrt (- (/ (sqrt 1.0) (sqrt x)) (sqrt 1.0)))
74.0ms
(/ (sqrt 1.0) (sqrt x))
76.0ms
(/ (sqrt 1.0) (sqrt x))
453.0ms
(* (sqrt (+ (/ (sqrt 1.0) (sqrt x)) (sqrt 1.0))) (sqrt (- (/ (sqrt 1.0) (sqrt x)) (sqrt 1.0))))

simplify75.0ms

Counts
210 → 210
Iterations

Useful iterations: 2 (57.0ms)

IterNodesCost
06652383
126812251
250012201
done50012201

prune681.0ms

Pruning

1 alts after pruning (0 fresh and 1 done)

Merged error: 0b

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02320
12420
22420
done2420

end0.0ms

sample1.1s

Algorithm
intervals
Results
436.0ms24216×body80nan
205.0ms8000×body80valid