Details

Time bar (total: 3.1s)

sample69.0ms

Algorithm
intervals
Results
35.0ms762×body80nan
12.0ms256×body80valid

simplify5.0ms

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: 0.0b

Counts
2 → 1

localize10.0ms

Local error

Found 4 expressions with local error:

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

rewrite35.0ms

Algorithm
rewrite-expression-head
Rules
31×*-un-lft-identity
30×add-sqr-sqrt
27×times-frac
23×add-cube-cbrt
20×sqrt-prod
add-log-exp
associate-/l*
add-exp-log add-cbrt-cube difference-of-squares
pow1
sqrt-div distribute-lft-out
flip3-- associate-/r* flip-- div-inv
associate-/l/
cbrt-undiv +-commutative sub-neg rem-sqrt-square distribute-rgt-out frac-2neg sqrt-pow1 flip3-+ pow1/2 diff-log div-exp frac-add clear-num sum-log flip-+
Counts
4 → 91
Calls
4 calls:
8.0ms
(/ (sqrt (- 1.0 (* x x))) x)
3.0ms
(sqrt (- 1.0 (* x x)))
18.0ms
(+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))
3.0ms
(- 1.0 (* x x))

series415.0ms

Counts
4 → 12
Calls
4 calls:
159.0ms
(/ (sqrt (- 1.0 (* x x))) x)
76.0ms
(sqrt (- 1.0 (* x x)))
130.0ms
(+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))
48.0ms
(- 1.0 (* x x))

simplify45.0ms

Algorithm
egg-herbie
Counts
103 → 103
Iterations

Useful iterations: 2 (35.0ms)

IterNodesCost
0409777
11411748
25001730

prune757.0ms

Filtered
103 candidates to 81 candidates (21.4%)
Pruning

1 alts after pruning (0 fresh and 1 done)

PrunedKeptTotal
New1030103
Fresh000
Picked011
Done000
Total1031104

Merged error: 0.0b

Counts
104 → 1

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0107
1107

end0.0ms

sample1.8s

Algorithm
intervals
Results
964.0ms23526×body80nan
374.0ms8000×body80valid

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