Details

Time bar (total: 789.0ms)

analyze4.0ms

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

sample18.0ms

Algorithm
intervals
Results
12.0ms256×body80valid

simplify118.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (117.0ms)

IterNodesCost
0489211
1489211

prune6.0ms

Filtered
1 candidates to 1 candidates (0.0%)
Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New011
Fresh101
Picked000
Done000
Total112

Merged error: 0b

Counts
2 → 1

localize8.0ms

Local error

Found 2 expressions with local error:

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

rewrite18.0ms

Algorithm
rewrite-expression-head
Rules
21×*-un-lft-identity
12×times-frac
11×add-sqr-sqrt add-cube-cbrt
distribute-lft-out
add-exp-log add-cbrt-cube associate-/l* add-log-exp
associate-/r*
pow1 flip3-+ flip-+ associate-/l/
cbrt-undiv +-commutative frac-2neg div-exp clear-num sum-log div-inv
Counts
2 → 45
Calls
2 calls:
9.0ms
(+ 1.0 (sqrt (- 1.0 (* x x))))
7.0ms
(/ (+ 1.0 (sqrt (- 1.0 (* x x)))) x)

series10.0ms

Counts
2 → 6
Calls
2 calls:
4.0ms
(+ 1.0 (sqrt (- 1.0 (* x x))))
6.0ms
(/ (+ 1.0 (sqrt (- 1.0 (* x x)))) x)

simplify40.0ms

Algorithm
egg-herbie
Counts
51 → 51
Iterations

Useful iterations: 0 (34.0ms)

IterNodesCost
05025736

prune80.0ms

Filtered
40 candidates to 51 candidates (-27.5%)
Pruning

1 alts after pruning (0 fresh and 1 done)

PrunedKeptTotal
New51051
Fresh000
Picked011
Done000
Total51152

Merged error: 0b

Counts
52 → 1

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
02711
12711

end0.0ms

sample485.0ms

Algorithm
intervals
Results
392.0ms8000×body80valid
0.0msbody80nan

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