Details

Time bar (total: 2.5min)

analyze145.0ms (0.1%)

Algorithm
search
Search
TrueOtherFalseIter
0%56.2%43.8%0
0%56.2%43.8%1
0%56.2%43.8%2
42.1%14%43.8%3
42.1%14%43.8%4
52.7%3.5%43.8%5
56.2%0%43.8%6
Compiler

Compiled 44 to 29 computations (34.1% saved)

sample44.0ms (0%)

Algorithm
intervals
Results
22.0ms256×body128valid
4.0ms256×pre128true
Compiler

Compiled 83 to 55 computations (33.7% saved)

simplify225.0ms (0.1%)

Algorithm
egg-herbie
Rules
1227×associate-/l*_binary64
689×distribute-rgt-in_binary64
661×distribute-lft-in_binary64
481×associate-/l/_binary64
450×associate-*l*_binary64
Counts
1 → 2
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01540
13638
211438
346837
4235937
5233037
6245837
7271737
8306737
9303837
10313637
11326337
12340637
13370637
14427337
15408437
16410737
17411437
18412137
19412837
20413537
21414237
22414937
23415637
24522637

prune4.0ms (0%)

Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New022
Fresh011
Picked000
Done000
Total033
Error
0.8b
Counts
3 → 2
Alt Table
StatusErrorProgram
2.1b
(/.f64 (/.f64 (/.f64 (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 beta alpha)) 1) (+.f64 (+.f64 alpha beta) (*.f64 2 1))) (+.f64 (+.f64 alpha beta) (*.f64 2 1))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 1)) 1))
0.9b
(/.f64 (*.f64 (+.f64 alpha 1) (/.f64 (+.f64 beta 1) (*.f64 (+.f64 (+.f64 alpha beta) 2) (+.f64 (+.f64 alpha beta) 2)))) (+.f64 alpha (+.f64 beta 3)))
Compiler

Compiled 190 to 123 computations (35.3% saved)

localize14.0ms (0%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.0b
(*.f64 (+.f64 (+.f64 alpha beta) 2) (+.f64 (+.f64 alpha beta) 2))
0.1b
(*.f64 (+.f64 alpha 1) (/.f64 (+.f64 beta 1) (*.f64 (+.f64 (+.f64 alpha beta) 2) (+.f64 (+.f64 alpha beta) 2))))
0.1b
(/.f64 (*.f64 (+.f64 alpha 1) (/.f64 (+.f64 beta 1) (*.f64 (+.f64 (+.f64 alpha beta) 2) (+.f64 (+.f64 alpha beta) 2)))) (+.f64 alpha (+.f64 beta 3)))
16.8b
(/.f64 (+.f64 beta 1) (*.f64 (+.f64 (+.f64 alpha beta) 2) (+.f64 (+.f64 alpha beta) 2)))

rewrite78.0ms (0.1%)

Algorithm
rewrite-expression-head
Rules
77×*-un-lft-identity_binary64
34×distribute-lft-out_binary64
34×add-cbrt-cube_binary64
34×add-exp-log_binary64
24×flip-+_binary64
Counts
4 → 166
Calls

4 calls:

19.0ms
(/.f64 (*.f64 (+.f64 alpha 1) (/.f64 (+.f64 beta 1) (*.f64 (+.f64 (+.f64 alpha beta) 2) (+.f64 (+.f64 alpha beta) 2)))) (+.f64 alpha (+.f64 beta 3)))
19.0ms
(*.f64 (+.f64 alpha 1) (/.f64 (+.f64 beta 1) (*.f64 (+.f64 (+.f64 alpha beta) 2) (+.f64 (+.f64 alpha beta) 2))))
14.0ms
(/.f64 (+.f64 beta 1) (*.f64 (+.f64 (+.f64 alpha beta) 2) (+.f64 (+.f64 alpha beta) 2)))
10.0ms
(*.f64 (+.f64 (+.f64 alpha beta) 2) (+.f64 (+.f64 alpha beta) 2))

series254.0ms (0.2%)

Counts
4 → 96
Calls

4 calls:

135.0ms
(/.f64 (*.f64 (+.f64 alpha 1) (/.f64 (+.f64 beta 1) (*.f64 (+.f64 (+.f64 alpha beta) 2) (+.f64 (+.f64 alpha beta) 2)))) (+.f64 alpha (+.f64 beta 3)))
64.0ms
(*.f64 (+.f64 alpha 1) (/.f64 (+.f64 beta 1) (*.f64 (+.f64 (+.f64 alpha beta) 2) (+.f64 (+.f64 alpha beta) 2))))
45.0ms
(/.f64 (+.f64 beta 1) (*.f64 (+.f64 (+.f64 alpha beta) 2) (+.f64 (+.f64 alpha beta) 2)))
9.0ms
(*.f64 (+.f64 (+.f64 alpha beta) 2) (+.f64 (+.f64 alpha beta) 2))

simplify230.0ms (0.2%)

Algorithm
egg-herbie
Rules
363×+-commutative_binary64
342×distribute-rgt-in_binary64
291×associate-+r+_binary64
266×fma-def_binary64
257×*-commutative_binary64
Counts
262 → 504
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0106115235
1371914320
2514114320

prune764.0ms (0.5%)

Pruning

8 alts after pruning (8 fresh and 0 done)

PrunedKeptTotal
New4968504
Fresh101
Picked101
Done000
Total4988506
Error
0.0b
Counts
506 → 8
Alt Table
StatusErrorProgram
31.5b
(-.f64 (+.f64 (/.f64 alpha (*.f64 beta beta)) (/.f64 1 (*.f64 beta beta))) (fma.f64 9 (/.f64 alpha (pow.f64 beta 3)) (fma.f64 3 (/.f64 (*.f64 alpha alpha) (pow.f64 beta 3)) (/.f64 6 (pow.f64 beta 3)))))
1.7b
(*.f64 (/.f64 (+.f64 alpha 1) (sqrt.f64 (+.f64 alpha (+.f64 beta 3)))) (/.f64 (/.f64 (+.f64 beta 1) (*.f64 (+.f64 (+.f64 alpha beta) 2) (+.f64 (+.f64 alpha beta) 2))) (sqrt.f64 (+.f64 alpha (+.f64 beta 3)))))
6.4b
(/.f64 (*.f64 (*.f64 (+.f64 1 alpha) (/.f64 (+.f64 1 beta) (*.f64 (+.f64 2 (+.f64 alpha beta)) (fma.f64 (+.f64 alpha beta) (+.f64 alpha beta) -4)))) (-.f64 (+.f64 alpha beta) 2)) (+.f64 alpha (+.f64 beta 3)))
0.1b
(/.f64 (*.f64 (+.f64 alpha 1) (/.f64 (/.f64 (+.f64 beta 1) (+.f64 (+.f64 alpha beta) 2)) (+.f64 (+.f64 alpha beta) 2))) (+.f64 alpha (+.f64 beta 3)))
0.2b
(/.f64 (*.f64 (*.f64 (+.f64 alpha 1) (/.f64 (sqrt.f64 (+.f64 beta 1)) (+.f64 (+.f64 alpha beta) 2))) (/.f64 (sqrt.f64 (+.f64 beta 1)) (+.f64 (+.f64 alpha beta) 2))) (+.f64 alpha (+.f64 beta 3)))
26.1b
(/.f64 (*.f64 (+.f64 alpha 1) (*.f64 (/.f64 (+.f64 1 beta) (*.f64 (fma.f64 (+.f64 alpha beta) (+.f64 alpha beta) -4) (fma.f64 (+.f64 alpha beta) (+.f64 alpha beta) -4))) (*.f64 (-.f64 (+.f64 alpha beta) 2) (-.f64 (+.f64 alpha beta) 2)))) (+.f64 alpha (+.f64 beta 3)))
0.9b
(*.f64 (+.f64 1 alpha) (/.f64 (/.f64 (+.f64 1 beta) (*.f64 (+.f64 2 (+.f64 alpha beta)) (+.f64 2 (+.f64 alpha beta)))) (+.f64 alpha (+.f64 beta 3))))
0.4b
(/.f64 (*.f64 (+.f64 alpha 1) (/.f64 (sqrt.f64 (+.f64 beta 1)) (/.f64 (+.f64 2 (+.f64 alpha beta)) (/.f64 (sqrt.f64 (+.f64 1 beta)) (+.f64 2 (+.f64 alpha beta)))))) (+.f64 alpha (+.f64 beta 3)))
Compiler

Compiled 21389 to 14474 computations (32.3% saved)

localize13.0ms (0%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.0b
(/.f64 (+.f64 beta 1) (+.f64 (+.f64 alpha beta) 2))
0.0b
(/.f64 (/.f64 (+.f64 beta 1) (+.f64 (+.f64 alpha beta) 2)) (+.f64 (+.f64 alpha beta) 2))
0.1b
(*.f64 (+.f64 alpha 1) (/.f64 (/.f64 (+.f64 beta 1) (+.f64 (+.f64 alpha beta) 2)) (+.f64 (+.f64 alpha beta) 2)))
0.1b
(/.f64 (*.f64 (+.f64 alpha 1) (/.f64 (/.f64 (+.f64 beta 1) (+.f64 (+.f64 alpha beta) 2)) (+.f64 (+.f64 alpha beta) 2))) (+.f64 alpha (+.f64 beta 3)))

rewrite157.0ms (0.1%)

Algorithm
rewrite-expression-head
Rules
826×*-un-lft-identity_binary64
508×times-frac_binary64
374×distribute-lft-out_binary64
191×add-sqr-sqrt_binary64
182×add-cube-cbrt_binary64
Counts
4 → 430
Calls

4 calls:

39.0ms
(*.f64 (+.f64 alpha 1) (/.f64 (/.f64 (+.f64 beta 1) (+.f64 (+.f64 alpha beta) 2)) (+.f64 (+.f64 alpha beta) 2)))
26.0ms
(/.f64 (*.f64 (+.f64 alpha 1) (/.f64 (/.f64 (+.f64 beta 1) (+.f64 (+.f64 alpha beta) 2)) (+.f64 (+.f64 alpha beta) 2))) (+.f64 alpha (+.f64 beta 3)))
17.0ms
(/.f64 (/.f64 (+.f64 beta 1) (+.f64 (+.f64 alpha beta) 2)) (+.f64 (+.f64 alpha beta) 2))
7.0ms
(/.f64 (+.f64 beta 1) (+.f64 (+.f64 alpha beta) 2))

series305.0ms (0.2%)

Counts
4 → 96
Calls

4 calls:

168.0ms
(/.f64 (*.f64 (+.f64 alpha 1) (/.f64 (/.f64 (+.f64 beta 1) (+.f64 (+.f64 alpha beta) 2)) (+.f64 (+.f64 alpha beta) 2))) (+.f64 alpha (+.f64 beta 3)))
64.0ms
(*.f64 (+.f64 alpha 1) (/.f64 (/.f64 (+.f64 beta 1) (+.f64 (+.f64 alpha beta) 2)) (+.f64 (+.f64 alpha beta) 2)))
53.0ms
(/.f64 (/.f64 (+.f64 beta 1) (+.f64 (+.f64 alpha beta) 2)) (+.f64 (+.f64 alpha beta) 2))
18.0ms
(/.f64 (+.f64 beta 1) (+.f64 (+.f64 alpha beta) 2))

simplify395.0ms (0.3%)

Algorithm
egg-herbie
Rules
384×+-commutative_binary64
304×associate-+r+_binary64
291×*-commutative_binary64
273×fma-def_binary64
251×associate-*r/_binary64
Counts
526 → 1022
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0122725024
1417323877
2499423877

prune1.1s (0.7%)

Pruning

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New101751022
Fresh527
Picked011
Done000
Total102281030
Error
0b
Counts
1030 → 8
Alt Table
StatusErrorProgram
0.4b
(/.f64 (*.f64 (*.f64 (cbrt.f64 (*.f64 (+.f64 alpha 1) (/.f64 (/.f64 (+.f64 beta 1) (+.f64 (+.f64 alpha beta) 2)) (+.f64 (+.f64 alpha beta) 2)))) (cbrt.f64 (*.f64 (+.f64 alpha 1) (/.f64 (/.f64 (+.f64 beta 1) (+.f64 (+.f64 alpha beta) 2)) (+.f64 (+.f64 alpha beta) 2))))) (cbrt.f64 (*.f64 (+.f64 alpha 1) (/.f64 (/.f64 (+.f64 beta 1) (+.f64 (+.f64 alpha beta) 2)) (+.f64 (+.f64 alpha beta) 2))))) (+.f64 alpha (+.f64 beta 3)))
6.4b
(/.f64 (*.f64 (*.f64 (+.f64 1 alpha) (/.f64 (+.f64 1 beta) (*.f64 (+.f64 2 (+.f64 alpha beta)) (fma.f64 (+.f64 alpha beta) (+.f64 alpha beta) -4)))) (-.f64 (+.f64 alpha beta) 2)) (+.f64 alpha (+.f64 beta 3)))
0.1b
(/.f64 (*.f64 (+.f64 alpha 1) (/.f64 (/.f64 (+.f64 beta 1) (+.f64 (+.f64 alpha beta) 2)) (+.f64 (+.f64 alpha beta) 2))) (+.f64 alpha (+.f64 beta 3)))
24.2b
(/.f64 (*.f64 (+.f64 alpha 1) (/.f64 (cbrt.f64 (/.f64 (pow.f64 (+.f64 beta 1) 3) (pow.f64 (+.f64 2 (+.f64 beta alpha)) 3))) (+.f64 (+.f64 alpha beta) 2))) (+.f64 alpha (+.f64 beta 3)))
0.9b
(/.f64 (*.f64 (+.f64 alpha 1) (*.f64 (+.f64 beta 1) (/.f64 1 (*.f64 (+.f64 2 (+.f64 beta alpha)) (+.f64 2 (+.f64 beta alpha)))))) (+.f64 alpha (+.f64 beta 3)))
1.0b
(/.f64 (*.f64 (+.f64 alpha 1) (*.f64 (sqrt.f64 (+.f64 beta 1)) (/.f64 (sqrt.f64 (+.f64 beta 1)) (*.f64 (+.f64 2 (+.f64 beta alpha)) (+.f64 2 (+.f64 beta alpha)))))) (+.f64 alpha (+.f64 beta 3)))
0.2b
(/.f64 (*.f64 (*.f64 (+.f64 alpha 1) (/.f64 (sqrt.f64 (+.f64 beta 1)) (+.f64 (+.f64 alpha beta) 2))) (/.f64 (sqrt.f64 (+.f64 beta 1)) (+.f64 (+.f64 alpha beta) 2))) (+.f64 alpha (+.f64 beta 3)))
1.1b
(*.f64 (/.f64 (+.f64 alpha 1) (sqrt.f64 (+.f64 alpha (+.f64 beta 3)))) (/.f64 (/.f64 (/.f64 (+.f64 beta 1) (+.f64 (+.f64 alpha beta) 2)) (+.f64 (+.f64 alpha beta) 2)) (sqrt.f64 (+.f64 alpha (+.f64 beta 3)))))
Compiler

Compiled 30418 to 20332 computations (33.2% saved)

localize14.0ms (0%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.1b
(/.f64 (*.f64 (*.f64 (+.f64 alpha 1) (/.f64 (sqrt.f64 (+.f64 beta 1)) (+.f64 (+.f64 alpha beta) 2))) (/.f64 (sqrt.f64 (+.f64 beta 1)) (+.f64 (+.f64 alpha beta) 2))) (+.f64 alpha (+.f64 beta 3)))
0.2b
(/.f64 (sqrt.f64 (+.f64 beta 1)) (+.f64 (+.f64 alpha beta) 2))
0.2b
(/.f64 (sqrt.f64 (+.f64 beta 1)) (+.f64 (+.f64 alpha beta) 2))
0.3b
(*.f64 (*.f64 (+.f64 alpha 1) (/.f64 (sqrt.f64 (+.f64 beta 1)) (+.f64 (+.f64 alpha beta) 2))) (/.f64 (sqrt.f64 (+.f64 beta 1)) (+.f64 (+.f64 alpha beta) 2)))

rewrite85.0ms (0.1%)

Algorithm
rewrite-expression-head
Rules
150×*-un-lft-identity_binary64
75×times-frac_binary64
62×distribute-lft-out_binary64
55×add-cbrt-cube_binary64
55×add-exp-log_binary64
Counts
3 → 192
Calls

3 calls:

31.0ms
(/.f64 (*.f64 (*.f64 (+.f64 alpha 1) (/.f64 (sqrt.f64 (+.f64 beta 1)) (+.f64 (+.f64 alpha beta) 2))) (/.f64 (sqrt.f64 (+.f64 beta 1)) (+.f64 (+.f64 alpha beta) 2))) (+.f64 alpha (+.f64 beta 3)))
24.0ms
(*.f64 (*.f64 (+.f64 alpha 1) (/.f64 (sqrt.f64 (+.f64 beta 1)) (+.f64 (+.f64 alpha beta) 2))) (/.f64 (sqrt.f64 (+.f64 beta 1)) (+.f64 (+.f64 alpha beta) 2)))
13.0ms
(/.f64 (sqrt.f64 (+.f64 beta 1)) (+.f64 (+.f64 alpha beta) 2))

series245.0ms (0.2%)

Counts
3 → 64
Calls

3 calls:

135.0ms
(/.f64 (*.f64 (*.f64 (+.f64 alpha 1) (/.f64 (sqrt.f64 (+.f64 beta 1)) (+.f64 (+.f64 alpha beta) 2))) (/.f64 (sqrt.f64 (+.f64 beta 1)) (+.f64 (+.f64 alpha beta) 2))) (+.f64 alpha (+.f64 beta 3)))
70.0ms
(*.f64 (*.f64 (+.f64 alpha 1) (/.f64 (sqrt.f64 (+.f64 beta 1)) (+.f64 (+.f64 alpha beta) 2))) (/.f64 (sqrt.f64 (+.f64 beta 1)) (+.f64 (+.f64 alpha beta) 2)))
39.0ms
(/.f64 (sqrt.f64 (+.f64 beta 1)) (+.f64 (+.f64 alpha beta) 2))

simplify826.0ms (0.6%)

Algorithm
egg-herbie
Rules
957×fma-def_binary64
300×+-commutative_binary64
261×*-commutative_binary64
235×associate-+r+_binary64
192×associate-*r/_binary64
Counts
256 → 496
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0100716077
1347314813
2496714813
3499814813
4495514813

prune913.0ms (0.6%)

Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New6541655
Fresh156
Picked101
Done011
Total6567663
Error
0b
Counts
663 → 7
Alt Table
StatusErrorProgram
0.4b
(/.f64 (*.f64 (*.f64 (cbrt.f64 (*.f64 (+.f64 alpha 1) (/.f64 (/.f64 (+.f64 beta 1) (+.f64 (+.f64 alpha beta) 2)) (+.f64 (+.f64 alpha beta) 2)))) (cbrt.f64 (*.f64 (+.f64 alpha 1) (/.f64 (/.f64 (+.f64 beta 1) (+.f64 (+.f64 alpha beta) 2)) (+.f64 (+.f64 alpha beta) 2))))) (cbrt.f64 (*.f64 (+.f64 alpha 1) (/.f64 (/.f64 (+.f64 beta 1) (+.f64 (+.f64 alpha beta) 2)) (+.f64 (+.f64 alpha beta) 2))))) (+.f64 alpha (+.f64 beta 3)))
6.4b
(/.f64 (*.f64 (*.f64 (+.f64 1 alpha) (/.f64 (+.f64 1 beta) (*.f64 (+.f64 2 (+.f64 alpha beta)) (fma.f64 (+.f64 alpha beta) (+.f64 alpha beta) -4)))) (-.f64 (+.f64 alpha beta) 2)) (+.f64 alpha (+.f64 beta 3)))
0.1b
(/.f64 (*.f64 (+.f64 alpha 1) (/.f64 (/.f64 (+.f64 beta 1) (+.f64 (+.f64 alpha beta) 2)) (+.f64 (+.f64 alpha beta) 2))) (+.f64 alpha (+.f64 beta 3)))
24.2b
(/.f64 (*.f64 (+.f64 alpha 1) (/.f64 (cbrt.f64 (/.f64 (pow.f64 (+.f64 beta 1) 3) (pow.f64 (+.f64 2 (+.f64 beta alpha)) 3))) (+.f64 (+.f64 alpha beta) 2))) (+.f64 alpha (+.f64 beta 3)))
0.9b
(/.f64 (*.f64 (+.f64 alpha 1) (*.f64 (+.f64 beta 1) (/.f64 1 (*.f64 (+.f64 2 (+.f64 beta alpha)) (+.f64 2 (+.f64 beta alpha)))))) (+.f64 alpha (+.f64 beta 3)))
1.7b
(/.f64 (/.f64 (*.f64 (*.f64 (-.f64 (*.f64 alpha alpha) (*.f64 1 1)) (sqrt.f64 (+.f64 beta 1))) (/.f64 (sqrt.f64 (+.f64 beta 1)) (+.f64 (+.f64 alpha beta) 2))) (*.f64 (-.f64 alpha 1) (+.f64 (+.f64 alpha beta) 2))) (+.f64 alpha (+.f64 beta 3)))
1.1b
(*.f64 (/.f64 (+.f64 alpha 1) (sqrt.f64 (+.f64 alpha (+.f64 beta 3)))) (/.f64 (/.f64 (/.f64 (+.f64 beta 1) (+.f64 (+.f64 alpha beta) 2)) (+.f64 (+.f64 alpha beta) 2)) (sqrt.f64 (+.f64 alpha (+.f64 beta 3)))))
Compiler

Compiled 26322 to 18322 computations (30.4% saved)

localize19.0ms (0%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.3b
(*.f64 (cbrt.f64 (*.f64 (+.f64 alpha 1) (/.f64 (/.f64 (+.f64 beta 1) (+.f64 (+.f64 alpha beta) 2)) (+.f64 (+.f64 alpha beta) 2)))) (cbrt.f64 (*.f64 (+.f64 alpha 1) (/.f64 (/.f64 (+.f64 beta 1) (+.f64 (+.f64 alpha beta) 2)) (+.f64 (+.f64 alpha beta) 2)))))
0.4b
(cbrt.f64 (*.f64 (+.f64 alpha 1) (/.f64 (/.f64 (+.f64 beta 1) (+.f64 (+.f64 alpha beta) 2)) (+.f64 (+.f64 alpha beta) 2))))
0.4b
(cbrt.f64 (*.f64 (+.f64 alpha 1) (/.f64 (/.f64 (+.f64 beta 1) (+.f64 (+.f64 alpha beta) 2)) (+.f64 (+.f64 alpha beta) 2))))
0.4b
(cbrt.f64 (*.f64 (+.f64 alpha 1) (/.f64 (/.f64 (+.f64 beta 1) (+.f64 (+.f64 alpha beta) 2)) (+.f64 (+.f64 alpha beta) 2))))

rewrite36.0ms (0%)

Algorithm
rewrite-expression-head
Rules
65×cbrt-div_binary64
51×frac-times_binary64
31×associate-*l/_binary64
26×flip-+_binary64
26×flip3-+_binary64
Counts
2 → 84
Calls

2 calls:

20.0ms
(cbrt.f64 (*.f64 (+.f64 alpha 1) (/.f64 (/.f64 (+.f64 beta 1) (+.f64 (+.f64 alpha beta) 2)) (+.f64 (+.f64 alpha beta) 2))))
6.0ms
(*.f64 (cbrt.f64 (*.f64 (+.f64 alpha 1) (/.f64 (/.f64 (+.f64 beta 1) (+.f64 (+.f64 alpha beta) 2)) (+.f64 (+.f64 alpha beta) 2)))) (cbrt.f64 (*.f64 (+.f64 alpha 1) (/.f64 (/.f64 (+.f64 beta 1) (+.f64 (+.f64 alpha beta) 2)) (+.f64 (+.f64 alpha beta) 2)))))

series2.4min (96.1%)

Calls

1 calls:

2.9s
(cbrt.f64 (*.f64 (+.f64 alpha 1) (/.f64 (/.f64 (+.f64 beta 1) (+.f64 (+.f64 alpha beta) 2)) (+.f64 (+.f64 alpha beta) 2))))

Profiling

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