Details

Time bar (total: 18.0s)

analyze3.0ms (0%)

Algorithm
search
Search
TrueOtherFalseIter
0%56.2%43.8%0
56.2%0%43.8%1
Compiler

Compiled 44 to 29 computations (34.1% saved)

sample2.4s (13.2%)

Symmetry

(sort alpha beta)

Results
2.1s8256×body128valid
Compiler

Compiled 125 to 82 computations (34.4% saved)

simplify296.0ms (1.6%)

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

prune9.0ms (0.1%)

Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New022
Fresh011
Picked000
Done000
Total033
Error
1.3b
Counts
3 → 2
Alt Table
StatusErrorProgram
3.8b
(/.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))
2.2b
(/.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)

localize27.0ms (0.1%)

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)))
17.3b
(/.f64 (+.f64 beta 1) (*.f64 (+.f64 (+.f64 alpha beta) 2) (+.f64 (+.f64 alpha beta) 2)))

series524.0ms (2.9%)

Counts
4 → 96
Calls

4 calls:

289.0ms
(/.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)))
134.0ms
(*.f64 (+.f64 alpha 1) (/.f64 (+.f64 beta 1) (*.f64 (+.f64 (+.f64 alpha beta) 2) (+.f64 (+.f64 alpha beta) 2))))
93.0ms
(/.f64 (+.f64 beta 1) (*.f64 (+.f64 (+.f64 alpha beta) 2) (+.f64 (+.f64 alpha beta) 2)))
8.0ms
(*.f64 (+.f64 (+.f64 alpha beta) 2) (+.f64 (+.f64 alpha beta) 2))

rewrite108.0ms (0.6%)

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:

33.0ms
(*.f64 (+.f64 alpha 1) (/.f64 (+.f64 beta 1) (*.f64 (+.f64 (+.f64 alpha beta) 2) (+.f64 (+.f64 alpha beta) 2))))
28.0ms
(/.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)))
16.0ms
(*.f64 (+.f64 (+.f64 alpha beta) 2) (+.f64 (+.f64 alpha beta) 2))
13.0ms
(/.f64 (+.f64 beta 1) (*.f64 (+.f64 (+.f64 alpha beta) 2) (+.f64 (+.f64 alpha beta) 2)))

simplify347.0ms (1.9%)

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 → 350
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0106115235
1371914320
2514114320

prune1.4s (8%)

Pruning

9 alts after pruning (9 fresh and 0 done)

PrunedKeptTotal
New3419350
Fresh101
Picked101
Done000
Total3439352
Error
0.0b
Counts
352 → 9
Alt Table
StatusErrorProgram
2.1b
(/.f64 (*.f64 (sqrt.f64 (+.f64 alpha 1)) (*.f64 (sqrt.f64 (+.f64 alpha 1)) (/.f64 (+.f64 beta 1) (*.f64 (+.f64 (+.f64 alpha beta) 2) (+.f64 (+.f64 alpha beta) 2))))) (+.f64 alpha (+.f64 beta 3)))
27.0b
(/.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)))
0.7b
(/.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)))
2.2b
(/.f64 (*.f64 (+.f64 alpha 1) (/.f64 (sqrt.f64 (+.f64 beta 1)) (/.f64 (*.f64 (+.f64 (+.f64 alpha beta) 2) (+.f64 (+.f64 alpha beta) 2)) (sqrt.f64 (+.f64 beta 1))))) (+.f64 alpha (+.f64 beta 3)))
14.3b
(cbrt.f64 (*.f64 (*.f64 (/.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))) (/.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)))) (/.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)))))
2.1b
(/.f64 (+.f64 alpha 1) (/.f64 (+.f64 alpha (+.f64 beta 3)) (/.f64 (+.f64 beta 1) (*.f64 (+.f64 (+.f64 alpha beta) 2) (+.f64 (+.f64 alpha beta) 2)))))
26.8b
(*.f64 (/.f64 (*.f64 (+.f64 alpha 1) (/.f64 (+.f64 beta 1) (*.f64 (+.f64 (+.f64 alpha beta) 2) (+.f64 (+.f64 alpha beta) 2)))) (+.f64 (pow.f64 alpha 3) (pow.f64 (+.f64 beta 3) 3))) (+.f64 (*.f64 alpha alpha) (-.f64 (*.f64 (+.f64 beta 3) (+.f64 beta 3)) (*.f64 alpha (+.f64 beta 3)))))
0.1b
(/.f64 (*.f64 (/.f64 (+.f64 1 alpha) (+.f64 2 (+.f64 alpha beta))) (/.f64 (+.f64 beta 1) (+.f64 (+.f64 alpha beta) 2))) (+.f64 alpha (+.f64 beta 3)))
0.4b
(/.f64 (*.f64 (+.f64 alpha 1) (*.f64 (/.f64 (*.f64 (cbrt.f64 (+.f64 beta 1)) (cbrt.f64 (+.f64 beta 1))) (+.f64 (+.f64 alpha beta) 2)) (/.f64 (cbrt.f64 (+.f64 beta 1)) (+.f64 (+.f64 alpha beta) 2)))) (+.f64 alpha (+.f64 beta 3)))
Compiler

Compiled 21569 to 14604 computations (32.3% saved)

localize30.0ms (0.2%)

Local error

Found 4 expressions with local error:

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

series470.0ms (2.6%)

Counts
4 → 96
Calls

4 calls:

280.0ms
(/.f64 (*.f64 (/.f64 (+.f64 1 alpha) (+.f64 2 (+.f64 alpha beta))) (/.f64 (+.f64 beta 1) (+.f64 (+.f64 alpha beta) 2))) (+.f64 alpha (+.f64 beta 3)))
110.0ms
(*.f64 (/.f64 (+.f64 1 alpha) (+.f64 2 (+.f64 alpha beta))) (/.f64 (+.f64 beta 1) (+.f64 (+.f64 alpha beta) 2)))
42.0ms
(/.f64 (+.f64 beta 1) (+.f64 (+.f64 alpha beta) 2))
36.0ms
(/.f64 (+.f64 1 alpha) (+.f64 2 (+.f64 alpha beta)))

rewrite187.0ms (1%)

Algorithm
rewrite-expression-head
Rules
192×*-un-lft-identity_binary64
89×times-frac_binary64
82×distribute-lft-out_binary64
60×add-sqr-sqrt_binary64
48×add-cube-cbrt_binary64
Counts
4 → 210
Calls

4 calls:

59.0ms
(*.f64 (/.f64 (+.f64 1 alpha) (+.f64 2 (+.f64 alpha beta))) (/.f64 (+.f64 beta 1) (+.f64 (+.f64 alpha beta) 2)))
46.0ms
(/.f64 (*.f64 (/.f64 (+.f64 1 alpha) (+.f64 2 (+.f64 alpha beta))) (/.f64 (+.f64 beta 1) (+.f64 (+.f64 alpha beta) 2))) (+.f64 alpha (+.f64 beta 3)))
19.0ms
(/.f64 (+.f64 1 alpha) (+.f64 2 (+.f64 alpha beta)))
17.0ms
(/.f64 (+.f64 beta 1) (+.f64 (+.f64 alpha beta) 2))

simplify1.0s (5.7%)

Algorithm
egg-herbie
Rules
940×fma-def_binary64
340×+-commutative_binary64
271×associate-+r+_binary64
244×*-commutative_binary64
216×sub-neg_binary64
Counts
306 → 392
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0107316270
1369615449
2498415449

prune1.7s (9.4%)

Pruning

7 alts after pruning (7 fresh and 0 done)

PrunedKeptTotal
New3875392
Fresh628
Picked101
Done000
Total3947401
Error
0b
Counts
401 → 7
Alt Table
StatusErrorProgram
0.8b
(*.f64 (/.f64 (/.f64 (+.f64 1 alpha) (+.f64 2 (+.f64 alpha beta))) (sqrt.f64 (+.f64 alpha (+.f64 beta 3)))) (/.f64 (/.f64 (+.f64 beta 1) (+.f64 (+.f64 alpha beta) 2)) (sqrt.f64 (+.f64 alpha (+.f64 beta 3)))))
5.4b
(/.f64 (cbrt.f64 (pow.f64 (*.f64 (/.f64 (+.f64 1 alpha) (+.f64 2 (+.f64 beta alpha))) (/.f64 (+.f64 beta 1) (+.f64 2 (+.f64 beta alpha)))) 3)) (+.f64 alpha (+.f64 beta 3)))
0.1b
(/.f64 (*.f64 (*.f64 (sqrt.f64 (+.f64 1 alpha)) (/.f64 (sqrt.f64 (+.f64 1 alpha)) (+.f64 2 (+.f64 beta alpha)))) (/.f64 (+.f64 beta 1) (+.f64 (+.f64 alpha beta) 2))) (+.f64 alpha (+.f64 beta 3)))
2.2b
(/.f64 (*.f64 (+.f64 alpha 1) (/.f64 (sqrt.f64 (+.f64 beta 1)) (/.f64 (*.f64 (+.f64 (+.f64 alpha beta) 2) (+.f64 (+.f64 alpha beta) 2)) (sqrt.f64 (+.f64 beta 1))))) (+.f64 alpha (+.f64 beta 3)))
27.0b
(/.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)))
0.7b
(/.f64 1 (/.f64 (+.f64 alpha (+.f64 beta 3)) (*.f64 (/.f64 (+.f64 1 alpha) (+.f64 2 (+.f64 alpha beta))) (/.f64 (+.f64 beta 1) (+.f64 (+.f64 alpha beta) 2)))))
2.1b
(/.f64 (*.f64 (+.f64 1 alpha) (/.f64 (+.f64 beta 1) (+.f64 (+.f64 alpha beta) 2))) (*.f64 (+.f64 alpha (+.f64 beta 3)) (+.f64 2 (+.f64 alpha beta))))
Compiler

Compiled 22526 to 15232 computations (32.4% saved)

localize39.0ms (0.2%)

Local error

Found 4 expressions with local error:

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

series591.0ms (3.3%)

Counts
4 → 88
Calls

4 calls:

313.0ms
(/.f64 (*.f64 (*.f64 (sqrt.f64 (+.f64 1 alpha)) (/.f64 (sqrt.f64 (+.f64 1 alpha)) (+.f64 2 (+.f64 beta alpha)))) (/.f64 (+.f64 beta 1) (+.f64 (+.f64 alpha beta) 2))) (+.f64 alpha (+.f64 beta 3)))
164.0ms
(*.f64 (*.f64 (sqrt.f64 (+.f64 1 alpha)) (/.f64 (sqrt.f64 (+.f64 1 alpha)) (+.f64 2 (+.f64 beta alpha)))) (/.f64 (+.f64 beta 1) (+.f64 (+.f64 alpha beta) 2)))
69.0ms
(/.f64 (sqrt.f64 (+.f64 1 alpha)) (+.f64 2 (+.f64 beta alpha)))
44.0ms
(*.f64 (sqrt.f64 (+.f64 1 alpha)) (/.f64 (sqrt.f64 (+.f64 1 alpha)) (+.f64 2 (+.f64 beta alpha))))

rewrite176.0ms (1%)

Algorithm
rewrite-expression-head
Rules
195×*-un-lft-identity_binary64
99×times-frac_binary64
80×distribute-lft-out_binary64
72×add-sqr-sqrt_binary64
67×associate-*r*_binary64
Counts
4 → 251
Calls

4 calls:

47.0ms
(*.f64 (*.f64 (sqrt.f64 (+.f64 1 alpha)) (/.f64 (sqrt.f64 (+.f64 1 alpha)) (+.f64 2 (+.f64 beta alpha)))) (/.f64 (+.f64 beta 1) (+.f64 (+.f64 alpha beta) 2)))
31.0ms
(/.f64 (*.f64 (*.f64 (sqrt.f64 (+.f64 1 alpha)) (/.f64 (sqrt.f64 (+.f64 1 alpha)) (+.f64 2 (+.f64 beta alpha)))) (/.f64 (+.f64 beta 1) (+.f64 (+.f64 alpha beta) 2))) (+.f64 alpha (+.f64 beta 3)))
24.0ms
(*.f64 (sqrt.f64 (+.f64 1 alpha)) (/.f64 (sqrt.f64 (+.f64 1 alpha)) (+.f64 2 (+.f64 beta alpha))))
15.0ms
(/.f64 (sqrt.f64 (+.f64 1 alpha)) (+.f64 2 (+.f64 beta alpha)))

simplify495.0ms (2.7%)

Algorithm
egg-herbie
Rules
342×+-commutative_binary64
303×distribute-rgt-in_binary64
296×*-commutative_binary64
266×associate-+r+_binary64
234×fma-def_binary64
Counts
339 → 408
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0113917670
1389316355
2522016355

prune1.9s (10.5%)

Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New4071408
Fresh156
Picked011
Done000
Total4087415
Error
0b
Counts
415 → 7
Alt Table
StatusErrorProgram
5.4b
(/.f64 (cbrt.f64 (*.f64 (pow.f64 (/.f64 (+.f64 1 alpha) (+.f64 2 (+.f64 beta alpha))) 3) (pow.f64 (/.f64 (+.f64 beta 1) (+.f64 2 (+.f64 beta alpha))) 3))) (+.f64 alpha (+.f64 beta 3)))
0.1b
(/.f64 (*.f64 (*.f64 (sqrt.f64 (+.f64 1 alpha)) (/.f64 (sqrt.f64 (+.f64 1 alpha)) (+.f64 2 (+.f64 beta alpha)))) (/.f64 (+.f64 beta 1) (+.f64 (+.f64 alpha beta) 2))) (+.f64 alpha (+.f64 beta 3)))
2.2b
(/.f64 (*.f64 (+.f64 alpha 1) (/.f64 (sqrt.f64 (+.f64 beta 1)) (/.f64 (*.f64 (+.f64 (+.f64 alpha beta) 2) (+.f64 (+.f64 alpha beta) 2)) (sqrt.f64 (+.f64 beta 1))))) (+.f64 alpha (+.f64 beta 3)))
27.0b
(/.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)))
0.7b
(/.f64 1 (/.f64 (+.f64 alpha (+.f64 beta 3)) (*.f64 (/.f64 (+.f64 1 alpha) (+.f64 2 (+.f64 alpha beta))) (/.f64 (+.f64 beta 1) (+.f64 (+.f64 alpha beta) 2)))))
2.1b
(/.f64 (*.f64 (+.f64 1 alpha) (/.f64 (+.f64 beta 1) (+.f64 (+.f64 alpha beta) 2))) (*.f64 (+.f64 alpha (+.f64 beta 3)) (+.f64 2 (+.f64 alpha beta))))
0.8b
(*.f64 (/.f64 (/.f64 (+.f64 1 alpha) (+.f64 2 (+.f64 alpha beta))) (sqrt.f64 (+.f64 alpha (+.f64 beta 3)))) (/.f64 (/.f64 (+.f64 beta 1) (+.f64 (+.f64 alpha beta) 2)) (sqrt.f64 (+.f64 alpha (+.f64 beta 3)))))
Compiler

Compiled 24854 to 17164 computations (30.9% saved)

localize20.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.0b
(/.f64 (+.f64 1 alpha) (+.f64 2 (+.f64 alpha beta)))
0.0b
(*.f64 (/.f64 (+.f64 1 alpha) (+.f64 2 (+.f64 alpha beta))) (/.f64 (+.f64 beta 1) (+.f64 (+.f64 alpha beta) 2)))
0.1b
(/.f64 (+.f64 alpha (+.f64 beta 3)) (*.f64 (/.f64 (+.f64 1 alpha) (+.f64 2 (+.f64 alpha beta))) (/.f64 (+.f64 beta 1) (+.f64 (+.f64 alpha beta) 2))))
0.7b
(/.f64 1 (/.f64 (+.f64 alpha (+.f64 beta 3)) (*.f64 (/.f64 (+.f64 1 alpha) (+.f64 2 (+.f64 alpha beta))) (/.f64 (+.f64 beta 1) (+.f64 (+.f64 alpha beta) 2)))))

series296.0ms (1.6%)

Counts
2 → 48
Calls

2 calls:

247.0ms
(/.f64 1 (/.f64 (+.f64 alpha (+.f64 beta 3)) (*.f64 (/.f64 (+.f64 1 alpha) (+.f64 2 (+.f64 alpha beta))) (/.f64 (+.f64 beta 1) (+.f64 (+.f64 alpha beta) 2)))))
48.0ms
(/.f64 (+.f64 alpha (+.f64 beta 3)) (*.f64 (/.f64 (+.f64 1 alpha) (+.f64 2 (+.f64 alpha beta))) (/.f64 (+.f64 beta 1) (+.f64 (+.f64 alpha beta) 2))))

rewrite124.0ms (0.7%)

Algorithm
rewrite-expression-head
Rules
83×add-exp-log_binary64
61×times-frac_binary64
55×*-un-lft-identity_binary64
48×div-exp_binary64
45×add-cbrt-cube_binary64
Counts
2 → 128
Calls

2 calls:

46.0ms
(/.f64 1 (/.f64 (+.f64 alpha (+.f64 beta 3)) (*.f64 (/.f64 (+.f64 1 alpha) (+.f64 2 (+.f64 alpha beta))) (/.f64 (+.f64 beta 1) (+.f64 (+.f64 alpha beta) 2)))))
40.0ms
(/.f64 (+.f64 alpha (+.f64 beta 3)) (*.f64 (/.f64 (+.f64 1 alpha) (+.f64 2 (+.f64 alpha beta))) (/.f64 (+.f64 beta 1) (+.f64 (+.f64 alpha beta) 2))))

simplify351.0ms (2%)

Algorithm
egg-herbie
Rules
787×times-frac_binary64
739×fma-def_binary64
234×+-commutative_binary64
190×associate-+r+_binary64
189×distribute-rgt-in_binary64
Counts
176 → 228
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
076912826
1268411867
2511611867

prune2.0s (11%)

Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New4422444
Fresh235
Picked101
Done011
Total4456451
Error
0b
Counts
451 → 6
Alt Table
StatusErrorProgram
5.4b
(/.f64 (cbrt.f64 (*.f64 (pow.f64 (/.f64 (+.f64 1 alpha) (+.f64 2 (+.f64 beta alpha))) 3) (pow.f64 (/.f64 (+.f64 beta 1) (+.f64 2 (+.f64 beta alpha))) 3))) (+.f64 alpha (+.f64 beta 3)))
0.1b
(/.f64 (*.f64 (*.f64 (sqrt.f64 (+.f64 1 alpha)) (/.f64 (sqrt.f64 (+.f64 1 alpha)) (+.f64 2 (+.f64 beta alpha)))) (/.f64 (+.f64 beta 1) (+.f64 (+.f64 alpha beta) 2))) (+.f64 alpha (+.f64 beta 3)))
0.7b
(/.f64 1 (*.f64 (/.f64 (+.f64 alpha (+.f64 beta 3)) (*.f64 (+.f64 1 alpha) (/.f64 (+.f64 beta 1) (+.f64 (+.f64 alpha beta) 2)))) (+.f64 2 (+.f64 alpha beta))))
2.2b
(/.f64 (*.f64 (+.f64 alpha 1) (/.f64 (sqrt.f64 (+.f64 beta 1)) (/.f64 (*.f64 (+.f64 (+.f64 alpha beta) 2) (+.f64 (+.f64 alpha beta) 2)) (sqrt.f64 (+.f64 beta 1))))) (+.f64 alpha (+.f64 beta 3)))
2.1b
(/.f64 1 (/.f64 (+.f64 alpha (+.f64 beta 3)) (*.f64 (/.f64 (+.f64 1 alpha) (-.f64 (*.f64 2 2) (*.f64 (+.f64 alpha beta) (+.f64 alpha beta)))) (*.f64 (/.f64 (+.f64 beta 1) (+.f64 2 (+.f64 beta alpha))) (-.f64 2 (+.f64 beta alpha))))))
0.8b
(*.f64 (/.f64 (/.f64 (+.f64 1 alpha) (+.f64 2 (+.f64 alpha beta))) (sqrt.f64 (+.f64 alpha (+.f64 beta 3)))) (/.f64 (/.f64 (+.f64 beta 1) (+.f64 (+.f64 alpha beta) 2)) (sqrt.f64 (+.f64 alpha (+.f64 beta 3)))))
Compiler

Compiled 25712 to 17654 computations (31.3% saved)

regimes3.3s (18.1%)

Accuracy

Total 0.1b remaining (74.2%)

Threshold costs 0.1b (74.2%)

Counts
394 → 1
Compiler

Compiled 39794 to 27908 computations (29.9% saved)

simplify5.0ms (0%)

Algorithm
egg-herbie
Rules
+-commutative_binary64
*-commutative_binary64
/-rgt-identity_binary64
1-exp_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01837
12637
22537

end240.0ms (1.3%)

Remove

(sort alpha beta)

Compiler

Compiled 311 to 213 computations (31.5% saved)

Profiling

Loading profile data...