Details

Time bar (total: 3.9s)

analyze5.0ms

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
13.0ms256×body80valid

simplify195.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (181.0ms)

IterNodesCost
0557520

prune1.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.0b

Counts
2 → 1

localize13.0ms

Local error

Found 3 expressions with local error:

0.0b
(/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)
0.0b
(+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x))
0.0b
(sqrt.f64 (-.f64 1 (*.f64 x x)))

rewrite42.0ms

Algorithm
rewrite-expression-head
Rules
45×*-un-lft-identity_binary64
37×times-frac_binary64
34×add-sqr-sqrt_binary64
28×sqrt-prod_binary64
25×add-cube-cbrt_binary64
10×difference-of-squares_binary64
distribute-lft-out_binary64 associate-/l*_binary64
div-inv_binary64
add-log-exp_binary64 add-exp-log_binary64 add-cbrt-cube_binary64
pow1_binary64 sqrt-div_binary64
associate-/r*_binary64 distribute-rgt-out_binary64 insert-posit16
associate-/l/_binary64 flip3--_binary64 flip--_binary64
flip3-+_binary64 pow1/2_binary64 cbrt-undiv_binary64 frac-add_binary64 distribute-rgt1-in_binary64 sqrt-pow1_binary64 rem-sqrt-square_binary64 clear-num_binary64 frac-2neg_binary64 div-exp_binary64 +-commutative_binary64 flip-+_binary64 sum-log_binary64
Counts
3 → 93
Calls
3 calls:
8.0ms
(/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)
26.0ms
(+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x))
4.0ms
(sqrt.f64 (-.f64 1 (*.f64 x x)))

series1.3s

Counts
3 → 9
Calls
3 calls:
292.0ms
(/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)
640.0ms
(+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x))
342.0ms
(sqrt.f64 (-.f64 1 (*.f64 x x)))
Iterations

Useful iterations: 0 (6.0ms)

IterNodesCost
0700704
1700704
0700704
1700704
0553412
04150398
14150398
04150398
14150398
0496527
1496527
01356620
11356620
01356620
11356620
013
113

simplify102.0ms

Counts
102 → 102
Iterations

Useful iterations: 0 (72.0ms)

IterNodesCost
049501743
149501743

prune80.0ms

Filtered
76 candidates to 102 candidates (-34.2%)
Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New1011102
Fresh000
Picked101
Done000
Total1021103

Merged error: 0b

Counts
103 → 1

localize13.0ms

Local error

Found 3 expressions with local error:

0.0b
(/.f64 (log.f64 (exp.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))))) x)
0.0b
(+.f64 (/.f64 1 x) (/.f64 (log.f64 (exp.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))))) x))
0.0b
(sqrt.f64 (-.f64 1 (*.f64 x x)))

rewrite58.0ms

Algorithm
rewrite-expression-head
Rules
53×*-un-lft-identity_binary64
49×times-frac_binary64
39×log-pow_binary64 add-sqr-sqrt_binary64
33×add-cube-cbrt_binary64
32×exp-prod_binary64
25×sqrt-prod_binary64
12×associate-/l*_binary64
11×pow1_binary64
10×difference-of-squares_binary64
distribute-lft-out_binary64
div-inv_binary64
add-log-exp_binary64 add-exp-log_binary64 add-cbrt-cube_binary64
associate-/r*_binary64 distribute-rgt-out_binary64 insert-posit16
sqrt-div_binary64
flip3-+_binary64 pow1/2_binary64 flip3--_binary64 cbrt-undiv_binary64 frac-add_binary64 distribute-rgt1-in_binary64 sqrt-pow1_binary64 rem-sqrt-square_binary64 clear-num_binary64 frac-2neg_binary64 div-exp_binary64 +-commutative_binary64 flip--_binary64 flip-+_binary64 sum-log_binary64
Counts
3 → 107
Calls
3 calls:
10.0ms
(/.f64 (log.f64 (exp.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))))) x)
35.0ms
(+.f64 (/.f64 1 x) (/.f64 (log.f64 (exp.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))))) x))
4.0ms
(sqrt.f64 (-.f64 1 (*.f64 x x)))

series1.3s

Counts
3 → 9
Calls
3 calls:
316.0ms
(/.f64 (log.f64 (exp.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))))) x)
673.0ms
(+.f64 (/.f64 1 x) (/.f64 (log.f64 (exp.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))))) x))
339.0ms
(sqrt.f64 (-.f64 1 (*.f64 x x)))
Iterations

Useful iterations: 0 (5.0ms)

IterNodesCost
0700704
1700704
0700704
1700704
0553412
04191519
14191519
04191519
14191519
0496527
1496527
015811035
115811035
015811035
115811035
013
113

simplify143.0ms

Counts
116 → 116
Iterations

Useful iterations: 0 (109.0ms)

IterNodesCost
051372099

prune84.0ms

Filtered
80 candidates to 116 candidates (-45.0%)
Pruning

1 alts after pruning (0 fresh and 1 done)

PrunedKeptTotal
New1160116
Fresh000
Picked011
Done000
Total1161117

Merged error: 0b

Counts
117 → 1

simplify6.0ms

Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
03224
13224

end0.0ms

sample499.0ms

Algorithm
intervals
Results
401.0ms8000×body80valid
0.0msbody80nan

Profiling

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