Details

Time bar (total: 1.9s)

sample38.0ms

Algorithm
intervals
Results
17.0ms809×body80nan
6.0ms256×body80valid

simplify5.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
084
194
294

prune2.0ms

Filtered
1 candidates to 0 candidates (0.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.0b

Counts
2 → 1

localize6.0ms

Local error

Found 1 expressions with local error:

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

rewrite10.0ms

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×expm1-log1p-u flip3-- times-frac rem-log-exp log-pow add-cbrt-cube flip-- log1p-expm1-u distribute-lft-out-- add-log-exp
Counts
1 → 19
Calls
1 calls:
9.0ms
(log (- (/ 1.0 x) 1.0))

series61.0ms

Counts
1 → 3
Calls
1 calls:
61.0ms
(log (- (/ 1.0 x) 1.0))

simplify62.0ms

Algorithm
egg-herbie
Counts
22 → 22
Iterations

Useful iterations: 2 (13.0ms)

IterNodesCost
0161151
1452138
21918137
35003137

prune51.0ms

Filtered
22 candidates to 18 candidates (81.8%)
Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New21122
Fresh000
Picked101
Done000
Total22123

Merged error: 0b

Counts
23 → 1

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))

rewrite41.0ms

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×expm1-log1p-u log-div flip3-- sqrt-pow1 times-frac pow1/2 add-cbrt-cube flip-- log1p-expm1-u distribute-lft-out-- add-log-exp
2×rem-sqrt-square rem-log-exp
Counts
4 → 88
Calls
4 calls:
9.0ms
(log (sqrt (- (/ 1.0 x) 1.0)))
8.0ms
(log (sqrt (- (/ 1.0 x) 1.0)))
10.0ms
(sqrt (- (/ 1.0 x) 1.0))
11.0ms
(sqrt (- (/ 1.0 x) 1.0))

series344.0ms

Counts
4 → 12
Calls
4 calls:
119.0ms
(log (sqrt (- (/ 1.0 x) 1.0)))
118.0ms
(log (sqrt (- (/ 1.0 x) 1.0)))
53.0ms
(sqrt (- (/ 1.0 x) 1.0))
54.0ms
(sqrt (- (/ 1.0 x) 1.0))

simplify83.0ms

Algorithm
egg-herbie
Counts
100 → 100
Iterations

Useful iterations: 3 (75.0ms)

IterNodesCost
0223766
1608714
22651696
35001682

prune268.0ms

Filtered
100 candidates to 76 candidates (76.0%)
Pruning

1 alts after pruning (0 fresh and 1 done)

PrunedKeptTotal
New1000100
Fresh000
Picked011
Done000
Total1001101

Merged error: 0b

Counts
101 → 1

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01010
11010

end0.0ms

sample951.0ms

Algorithm
intervals
Results
422.0ms23458×body80nan
201.0ms8000×body80valid