Details

Time bar (total: 9.0s)

sample182.0ms

Algorithm
intervals
Results
37.0ms821×body80nan
14.0ms256×body80valid

simplify23.0ms

Counts
1 → 1

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 2 expressions with local error:

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

rewrite61.0ms

Algorithm
rewrite-expression-head
Rules
13×add-sqr-sqrt
7×*-un-lft-identity
6×log-prod
4×add-log-exp difference-of-squares
3×pow1 add-exp-log add-cube-cbrt
2×log-div flip3-- times-frac add-cbrt-cube flip-- distribute-lft-out--
1×sub-neg diff-log rem-log-exp log-pow
Counts
2 → 32
Calls
2 calls:
19.0ms
(- (/ 1.0 x) 1.0)
40.0ms
(log (- (/ 1.0 x) 1.0))

series169.0ms

Counts
2 → 6
Calls
2 calls:
61.0ms
(- (/ 1.0 x) 1.0)
107.0ms
(log (- (/ 1.0 x) 1.0))

simplify950.0ms

Counts
38 → 38

prune117.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize20.0ms

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))

rewrite103.0ms

Algorithm
rewrite-expression-head
Rules
28×add-sqr-sqrt
14×*-un-lft-identity
12×sqrt-prod
8×add-log-exp difference-of-squares
6×pow1 add-cube-cbrt
4×add-exp-log flip3-- times-frac sqrt-div add-cbrt-cube flip-- distribute-lft-out--
2×sub-neg rem-sqrt-square sqrt-pow1 pow1/2 diff-log
Counts
4 → 66
Calls
4 calls:
22.0ms
(- (/ 1.0 x) 1.0)
26.0ms
(- (/ 1.0 x) 1.0)
29.0ms
(sqrt (- (/ 1.0 x) 1.0))
23.0ms
(sqrt (- (/ 1.0 x) 1.0))

series261.0ms

Counts
4 → 12
Calls
4 calls:
46.0ms
(- (/ 1.0 x) 1.0)
51.0ms
(- (/ 1.0 x) 1.0)
69.0ms
(sqrt (- (/ 1.0 x) 1.0))
95.0ms
(sqrt (- (/ 1.0 x) 1.0))

simplify817.0ms

Counts
78 → 78

prune308.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0b

localize30.0ms

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))))

rewrite257.0ms

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×frac-times flip3-- flip-- 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 → 116
Calls
4 calls:
4.0ms
(sqrt (/ 1.0 x))
7.0ms
(sqrt (/ 1.0 x))
40.0ms
(sqrt (- (/ 1.0 x) 1.0))
199.0ms
(* (sqrt (+ (sqrt (/ 1.0 x)) (sqrt 1.0))) (sqrt (- (sqrt (/ 1.0 x)) (sqrt 1.0))))

series827.0ms

Counts
4 → 12
Calls
4 calls:
95.0ms
(sqrt (/ 1.0 x))
93.0ms
(sqrt (/ 1.0 x))
61.0ms
(sqrt (- (/ 1.0 x) 1.0))
578.0ms
(* (sqrt (+ (sqrt (/ 1.0 x)) (sqrt 1.0))) (sqrt (- (sqrt (/ 1.0 x)) (sqrt 1.0))))

simplify1.2s

Counts
128 → 128

prune754.0ms

Pruning

1 alts after pruning (0 fresh and 1 done)

Merged error: 0b

simplify124.0ms

end0.0ms

sample2.8s

Algorithm
intervals
Results
1.6s23838×body80nan
437.0ms8000×body80valid