Details

Time bar (total: 2.4s)

sample73.0ms

Algorithm
intervals
Results
38.0ms804×body80nan
13.0ms256×body80valid

simplify4.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0127
1167
2167

prune3.0ms

Filtered
1 candidates to 0 candidates (100.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0b

Counts
2 → 1

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b
(sqrt (- 1.0 (* x x)))
0.0b
(log (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x)))
0.0b
(+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))

rewrite45.0ms

Algorithm
rewrite-expression-head
Rules
25×*-un-lft-identity
12×times-frac
11×add-sqr-sqrt
add-cube-cbrt
log-prod distribute-lft-out
pow1 add-log-exp
add-exp-log sqrt-prod div-inv
log-div add-cbrt-cube
distribute-rgt-out flip3-+ sqrt-div frac-add flip-+
+-commutative rem-sqrt-square flip3-- sqrt-pow1 pow1/2 rem-log-exp sum-log log-pow flip-- difference-of-squares
Counts
3 → 53
Calls
3 calls:
2.0ms
(sqrt (- 1.0 (* x x)))
21.0ms
(log (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x)))
19.0ms
(+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))

series24.0ms

Counts
3 → 9
Calls
3 calls:
4.0ms
(sqrt (- 1.0 (* x x)))
14.0ms
(log (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x)))
6.0ms
(+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))

simplify41.0ms

Algorithm
egg-herbie
Counts
62 → 62
Iterations

Useful iterations: 2 (34.0ms)

IterNodesCost
0421620
11466576
25001566

prune332.0ms

Filtered
62 candidates to 52 candidates (16.1%)
Pruning

1 alts after pruning (0 fresh and 1 done)

PrunedKeptTotal
New62062
Fresh000
Picked011
Done000
Total62163

Merged error: 0b

Counts
63 → 1

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0107
1107

end0.0ms

sample1.9s

Algorithm
intervals
Results
1.0s23944×body80nan
402.0ms8000×body80valid

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