Details

Time bar (total: 866.0ms)

analyze5.0ms (0.5%)

Algorithm
search
Search
TrueOtherFalseIter
0%100%0%0
0%100%0%1
0%100%0%2
0%50%50%3
12.5%25%62.5%4
18.7%12.5%68.8%5
21.9%6.2%71.9%6
23.4%3.1%73.5%7
24.2%1.6%74.2%8
24.6%0.8%74.6%9
24.8%0.4%74.8%10
24.9%0.2%74.9%11
24.9%0.1%75%12
25%0%75%13
25%0%75%14

sample23.0ms (2.6%)

Algorithm
intervals
Results
16.0ms256×body80valid

simplify126.0ms (14.6%)

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (125.0ms)

IterNodesCost
0489211
1489211

prune6.0ms (0.7%)

Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New011
Fresh101
Picked000
Done000
Total112

Merged error: 0b

Counts
2 → 1

localize8.0ms (0.9%)

Local error

Found 3 expressions with local error:

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

rewrite17.0ms (1.9%)

Algorithm
rewrite-expression-head
Rules
23×*-un-lft-identity
15×add-sqr-sqrt
13×add-cube-cbrt
12×times-frac
add-exp-log add-cbrt-cube distribute-lft-out add-log-exp
pow1 sqrt-prod associate-/l*
associate-/r*
flip3-+ sqrt-div flip-+ associate-/l/
cbrt-undiv +-commutative rem-sqrt-square flip3-- frac-2neg sqrt-pow1 pow1/2 div-exp clear-num sum-log flip-- div-inv difference-of-squares
Counts
3 → 61
Calls

3 calls:

7.0ms
(/ (+ 1.0 (sqrt (- 1.0 (* x x)))) x)
5.0ms
(+ 1.0 (sqrt (- 1.0 (* x x))))
3.0ms
(sqrt (- 1.0 (* x x)))

series13.0ms (1.5%)

Counts
3 → 9
Calls

3 calls:

5.0ms
(/ (+ 1.0 (sqrt (- 1.0 (* x x)))) x)
4.0ms
(sqrt (- 1.0 (* x x)))
4.0ms
(+ 1.0 (sqrt (- 1.0 (* x x))))

simplify47.0ms (5.5%)

Algorithm
egg-herbie
Counts
70 → 70
Iterations

Useful iterations: 0 (40.0ms)

IterNodesCost
05105942

prune131.0ms (15.2%)

Pruning

1 alts after pruning (0 fresh and 1 done)

PrunedKeptTotal
New70070
Fresh000
Picked011
Done000
Total70171

Merged error: 0b

Counts
71 → 1

simplify1.0ms (0.2%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
02711
12711

end0.0ms (0%)

sample489.0ms (56.4%)

Algorithm
intervals
Results
396.0ms8000×body80valid
0.0msbody80nan

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