Details

Time bar (total: 3.7s)

analyze5.0ms

Algorithm
search
Search
TrueOtherFalseIter
0%100%0%0
0%100%0%1
0%100%0%2
0%50%50%3
25%25%50%4
37.5%12.5%50%5
43.7%6.2%50%6
46.9%3.1%50%7
48.4%1.6%50%8
49.2%0.8%50%9
49.6%0.4%50%10
49.8%0.2%50%11
49.9%0.1%50%12
49.9%0%50.1%13
49.9%0%50.1%14

sample17.0ms

Algorithm
intervals
Results
12.0ms256×body80valid

simplify129.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (109.0ms)

IterNodesCost
0484529
1484529

prune2.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.0b

Counts
2 → 1

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b
(sqrt.f64 (-.f64 1 (*.f64 3 (*.f64 v v))))
0.0b
(*.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (*.f64 3 (*.f64 v v)))))
0.1b
(*.f64 3 (*.f64 v v))

rewrite31.0ms

Algorithm
rewrite-expression-head
Rules
38×add-sqr-sqrt_binary64
25×associate-*l*_binary64
22×times-frac_binary64
20×*-un-lft-identity_binary64 add-cube-cbrt_binary64 sqrt-prod_binary64
13×add-exp-log_binary64 add-cbrt-cube_binary64
11×pow1_binary64
associate-*r*_binary64 unswap-sqr_binary64
sqrt-div_binary64
cbrt-unprod_binary64 prod-exp_binary64
pow-prod-down_binary64
add-log-exp_binary64 flip3--_binary64 insert-posit16 flip--_binary64
associate-*r/_binary64 frac-times_binary64 *-commutative_binary64
pow1/2_binary64 cbrt-undiv_binary64 sqrt-pow1_binary64 rem-sqrt-square_binary64 div-inv_binary64 div-exp_binary64 associate-*l/_binary64
Counts
3 → 89
Calls
3 calls:
4.0ms
(sqrt.f64 (-.f64 1 (*.f64 3 (*.f64 v v))))
15.0ms
(*.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (*.f64 3 (*.f64 v v)))))
8.0ms
(*.f64 3 (*.f64 v v))

series970.0ms

Counts
3 → 9
Calls
3 calls:
360.0ms
(sqrt.f64 (-.f64 1 (*.f64 3 (*.f64 v v))))
333.0ms
(*.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (*.f64 3 (*.f64 v v)))))
277.0ms
(*.f64 3 (*.f64 v v))
Iterations

Useful iterations: 0 (5.0ms)

IterNodesCost
0468232
1468232
0468232
1468232
0535815
08991394
18991394
08991394
18991394
013
113
0712782
1712782
0712782
1712782
0553412

simplify135.0ms

Counts
98 → 98
Iterations

Useful iterations: 0 (105.0ms)

IterNodesCost
049721774
149721774

prune100.0ms

Filtered
68 candidates to 98 candidates (-44.1%)
Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New97198
Fresh000
Picked101
Done000
Total98199

Merged error: 0b

Counts
99 → 1

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b
(sqrt.f64 (-.f64 1 (*.f64 3 (*.f64 v v))))
0.0b
(*.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (*.f64 3 (*.f64 v v)))))
0.1b
(*.f64 3 (*.f64 v v))
1.0b
(pow.f64 (*.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (*.f64 3 (*.f64 v v))))) 3)

rewrite50.0ms

Algorithm
rewrite-expression-head
Rules
40×add-sqr-sqrt_binary64
25×associate-*l*_binary64
22×*-un-lft-identity_binary64 add-cube-cbrt_binary64 times-frac_binary64
20×add-exp-log_binary64 add-cbrt-cube_binary64 sqrt-prod_binary64
15×pow1_binary64
10×sqrt-div_binary64
cbrt-unprod_binary64 associate-*r*_binary64 unswap-sqr_binary64 prod-exp_binary64
pow-prod-down_binary64 flip3--_binary64 cube-div_binary64 flip--_binary64
add-log-exp_binary64 associate-*r/_binary64 insert-posit16 frac-times_binary64
pow-unpow_binary64 rem-cube-cbrt_binary64 pow-exp_binary64
cbrt-undiv_binary64 pow-pow_binary64 div-exp_binary64 associate-*l/_binary64 *-commutative_binary64
pow-to-exp_binary64 pow1/2_binary64 sqr-pow_binary64 sqrt-pow1_binary64 rem-sqrt-square_binary64 unpow-prod-down_binary64 cube-prod_binary64 div-inv_binary64 unpow3_binary64 cube-mult_binary64
Counts
4 → 119
Calls
4 calls:
4.0ms
(sqrt.f64 (-.f64 1 (*.f64 3 (*.f64 v v))))
19.0ms
(*.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (*.f64 3 (*.f64 v v)))))
8.0ms
(*.f64 3 (*.f64 v v))
14.0ms
(pow.f64 (*.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (*.f64 3 (*.f64 v v))))) 3)

series1.5s

Counts
4 → 12
Calls
4 calls:
370.0ms
(sqrt.f64 (-.f64 1 (*.f64 3 (*.f64 v v))))
335.0ms
(*.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (*.f64 3 (*.f64 v v)))))
280.0ms
(*.f64 3 (*.f64 v v))
501.0ms
(pow.f64 (*.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (*.f64 3 (*.f64 v v))))) 3)
Iterations

Useful iterations: 0 (5.0ms)

IterNodesCost
013181595
113181595
013181595
113181595
013
113
0468232
1468232
0468232
1468232
0535815
08991394
18991394
08991394
18991394
013
113
0712782
1712782
0712782
1712782
0553412

simplify101.0ms

Counts
131 → 131
Iterations

Useful iterations: 0 (64.0ms)

IterNodesCost
049162443
149162443

prune145.0ms

Filtered
90 candidates to 131 candidates (-45.6%)
Pruning

1 alts after pruning (0 fresh and 1 done)

PrunedKeptTotal
New1310131
Fresh000
Picked011
Done000
Total1311132

Merged error: 0b

Counts
132 → 1

simplify7.0ms

Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
05734
15734

end0.0ms

sample491.0ms

Algorithm
intervals
Results
394.0ms8000×body80valid
0.0msbody80nan

Profiling

Loading profile data...