Details

Time bar (total: 10.3s)

analyze56.0ms (0.5%)

Algorithm
search
Search
TrueOtherFalseIter
0%14%86%0
0%14%86%1
0%14%86%2
0%14%86%3
0%14%86%4
0%14%86%5
0%14%86%6
8.1%5.9%86%7
10.3%3.7%86%8
12.6%1.5%86%9
13.9%0.1%86%10
14%0%86%11
14%0%86%12
14%0%86%13
14%0%86%14
Compiler

Compiled 67 to 35 computations (47.8% saved)

sample1.7s (16.3%)

Symmetry

(sort alpha beta)

Results
1.6s8256×body128valid
Compiler

Compiled 190 to 97 computations (48.9% saved)

simplify43.0ms (0.4%)

Algorithm
egg-herbie
Rules
705×associate-+l+_binary64
492×associate-*l*_binary64
422×associate-*r*_binary64
369×times-frac_binary64
336×associate-/l*_binary64
Counts
1 → 2
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01875
16767
229367
3161267
4497967
5503567

prune4.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New112
Fresh011
Picked000
Done000
Total123
Error
55.6b
Counts
3 → 1
Alt Table
StatusErrorProgram
55.6b
(/.f64 (/.f64 (*.f64 (*.f64 i (+.f64 (+.f64 alpha beta) i)) (+.f64 (*.f64 beta alpha) (*.f64 i (+.f64 (+.f64 alpha beta) i)))) (*.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 i)) (+.f64 (+.f64 alpha beta) (*.f64 2 i)))) (-.f64 (*.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 i)) (+.f64 (+.f64 alpha beta) (*.f64 2 i))) 1))
Compiler

Compiled 215 to 99 computations (54% saved)

localize14.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.0b
(*.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 i)) (+.f64 (+.f64 alpha beta) (*.f64 2 i)))
0.1b
(*.f64 (*.f64 i (+.f64 (+.f64 alpha beta) i)) (+.f64 (*.f64 beta alpha) (*.f64 i (+.f64 (+.f64 alpha beta) i))))
36.9b
(/.f64 (/.f64 (*.f64 (*.f64 i (+.f64 (+.f64 alpha beta) i)) (+.f64 (*.f64 beta alpha) (*.f64 i (+.f64 (+.f64 alpha beta) i)))) (*.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 i)) (+.f64 (+.f64 alpha beta) (*.f64 2 i)))) (-.f64 (*.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 i)) (+.f64 (+.f64 alpha beta) (*.f64 2 i))) 1))
47.4b
(/.f64 (*.f64 (*.f64 i (+.f64 (+.f64 alpha beta) i)) (+.f64 (*.f64 beta alpha) (*.f64 i (+.f64 (+.f64 alpha beta) i)))) (*.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 i)) (+.f64 (+.f64 alpha beta) (*.f64 2 i))))

series3.2s (31.2%)

Counts
4 → 144
Calls

4 calls:

2.6s
(/.f64 (/.f64 (*.f64 (*.f64 i (+.f64 (+.f64 alpha beta) i)) (+.f64 (*.f64 beta alpha) (*.f64 i (+.f64 (+.f64 alpha beta) i)))) (*.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 i)) (+.f64 (+.f64 alpha beta) (*.f64 2 i)))) (-.f64 (*.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 i)) (+.f64 (+.f64 alpha beta) (*.f64 2 i))) 1))
539.0ms
(/.f64 (*.f64 (*.f64 i (+.f64 (+.f64 alpha beta) i)) (+.f64 (*.f64 beta alpha) (*.f64 i (+.f64 (+.f64 alpha beta) i)))) (*.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 i)) (+.f64 (+.f64 alpha beta) (*.f64 2 i))))
44.0ms
(*.f64 (*.f64 i (+.f64 (+.f64 alpha beta) i)) (+.f64 (*.f64 beta alpha) (*.f64 i (+.f64 (+.f64 alpha beta) i))))
15.0ms
(*.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 i)) (+.f64 (+.f64 alpha beta) (*.f64 2 i)))

rewrite142.0ms (1.4%)

Algorithm
rewrite-expression-head
Rules
86×times-frac_binary64
66×associate-/r/_binary64
66×flip-+_binary64
66×flip3-+_binary64
61×add-cbrt-cube_binary64
Counts
4 → 236
Calls

4 calls:

35.0ms
(/.f64 (/.f64 (*.f64 (*.f64 i (+.f64 (+.f64 alpha beta) i)) (+.f64 (*.f64 beta alpha) (*.f64 i (+.f64 (+.f64 alpha beta) i)))) (*.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 i)) (+.f64 (+.f64 alpha beta) (*.f64 2 i)))) (-.f64 (*.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 i)) (+.f64 (+.f64 alpha beta) (*.f64 2 i))) 1))
20.0ms
(/.f64 (*.f64 (*.f64 i (+.f64 (+.f64 alpha beta) i)) (+.f64 (*.f64 beta alpha) (*.f64 i (+.f64 (+.f64 alpha beta) i)))) (*.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 i)) (+.f64 (+.f64 alpha beta) (*.f64 2 i))))
11.0ms
(*.f64 (*.f64 i (+.f64 (+.f64 alpha beta) i)) (+.f64 (*.f64 beta alpha) (*.f64 i (+.f64 (+.f64 alpha beta) i))))
11.0ms
(*.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 i)) (+.f64 (+.f64 alpha beta) (*.f64 2 i)))

simplify574.0ms (5.6%)

Algorithm
egg-herbie
Rules
743×fma-def_binary64
533×associate-/l*_binary64
352×times-frac_binary64
64×sub-neg_binary64
59×associate-/l/_binary64
Counts
380 → 516
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0269759448
1566059448

prune1.4s (13.4%)

Pruning

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New5797586
Fresh000
Picked011
Done000
Total5798587
Error
6.9b
Counts
587 → 8
Alt Table
StatusErrorProgram
38.4b
(*.f64 (/.f64 (/.f64 (*.f64 i (+.f64 (+.f64 alpha beta) i)) (+.f64 (+.f64 alpha beta) (*.f64 2 i))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 i)) 1)) (/.f64 (/.f64 (fma.f64 beta alpha (*.f64 i (+.f64 (+.f64 alpha beta) i))) (+.f64 (+.f64 alpha beta) (*.f64 2 i))) (-.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 i)) 1)))
41.4b
(/.f64 (*.f64 1/4 (pow.f64 i 2)) (-.f64 (*.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 i)) (+.f64 (+.f64 alpha beta) (*.f64 2 i))) 1))
40.9b
(*.f64 (/.f64 (/.f64 (*.f64 i (+.f64 (+.f64 alpha beta) i)) (+.f64 (+.f64 alpha beta) (*.f64 2 i))) (*.f64 (cbrt.f64 (fma.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 i)) (+.f64 (+.f64 alpha beta) (*.f64 2 i)) -1)) (cbrt.f64 (fma.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 i)) (+.f64 (+.f64 alpha beta) (*.f64 2 i)) -1)))) (/.f64 (/.f64 (fma.f64 beta alpha (*.f64 i (+.f64 (+.f64 alpha beta) i))) (+.f64 (+.f64 alpha beta) (*.f64 2 i))) (cbrt.f64 (fma.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 i)) (+.f64 (+.f64 alpha beta) (*.f64 2 i)) -1))))
16.9b
1/16
59.2b
(/.f64 (/.f64 (*.f64 i (*.f64 (pow.f64 alpha 2) (+.f64 beta i))) (*.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 i)) (+.f64 (+.f64 alpha beta) (*.f64 2 i)))) (-.f64 (*.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 i)) (+.f64 (+.f64 alpha beta) (*.f64 2 i))) 1))
57.3b
(/.f64 (-.f64 (+.f64 (/.f64 (*.f64 i (pow.f64 alpha 3)) (*.f64 beta beta)) (fma.f64 5 (/.f64 (pow.f64 i 4) (*.f64 beta beta)) (fma.f64 10 (/.f64 (*.f64 (pow.f64 i 3) alpha) (*.f64 beta beta)) (fma.f64 i alpha (+.f64 (*.f64 i i) (*.f64 6 (/.f64 (*.f64 (*.f64 i i) (*.f64 alpha alpha)) (*.f64 beta beta)))))))) (fma.f64 2 (/.f64 (pow.f64 i 3) beta) (fma.f64 3 (/.f64 (*.f64 (*.f64 i i) alpha) beta) (/.f64 (*.f64 i (*.f64 alpha alpha)) beta)))) (-.f64 (*.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 i)) (+.f64 (+.f64 alpha beta) (*.f64 2 i))) 1))
55.6b
(/.f64 (/.f64 (*.f64 (*.f64 i (+.f64 (+.f64 alpha beta) i)) (+.f64 (*.f64 beta alpha) (*.f64 i (+.f64 (+.f64 alpha beta) i)))) (*.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 i)) (+.f64 (+.f64 alpha beta) (*.f64 2 i)))) (-.f64 (*.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 i)) (+.f64 (+.f64 alpha beta) (*.f64 2 i))) 1))
22.8b
(-.f64 (+.f64 1/16 (*.f64 1/64 (/.f64 1 (*.f64 i i)))) (*.f64 1/32 (+.f64 (/.f64 (*.f64 beta beta) (*.f64 i i)) (/.f64 (*.f64 alpha alpha) (*.f64 i i)))))
Compiler

Compiled 88891 to 47024 computations (47.1% saved)

localize0.0ms (0%)

prune13.0ms (0.1%)

Pruning

8 alts after pruning (6 fresh and 2 done)

PrunedKeptTotal
New000
Fresh066
Picked011
Done011
Total088
Error
6.9b
Counts
8 → 8
Alt Table
StatusErrorProgram
38.4b
(*.f64 (/.f64 (/.f64 (*.f64 i (+.f64 (+.f64 alpha beta) i)) (+.f64 (+.f64 alpha beta) (*.f64 2 i))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 i)) 1)) (/.f64 (/.f64 (fma.f64 beta alpha (*.f64 i (+.f64 (+.f64 alpha beta) i))) (+.f64 (+.f64 alpha beta) (*.f64 2 i))) (-.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 i)) 1)))
41.4b
(/.f64 (*.f64 1/4 (pow.f64 i 2)) (-.f64 (*.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 i)) (+.f64 (+.f64 alpha beta) (*.f64 2 i))) 1))
40.9b
(*.f64 (/.f64 (/.f64 (*.f64 i (+.f64 (+.f64 alpha beta) i)) (+.f64 (+.f64 alpha beta) (*.f64 2 i))) (*.f64 (cbrt.f64 (fma.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 i)) (+.f64 (+.f64 alpha beta) (*.f64 2 i)) -1)) (cbrt.f64 (fma.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 i)) (+.f64 (+.f64 alpha beta) (*.f64 2 i)) -1)))) (/.f64 (/.f64 (fma.f64 beta alpha (*.f64 i (+.f64 (+.f64 alpha beta) i))) (+.f64 (+.f64 alpha beta) (*.f64 2 i))) (cbrt.f64 (fma.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 i)) (+.f64 (+.f64 alpha beta) (*.f64 2 i)) -1))))
16.9b
1/16
59.2b
(/.f64 (/.f64 (*.f64 i (*.f64 (pow.f64 alpha 2) (+.f64 beta i))) (*.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 i)) (+.f64 (+.f64 alpha beta) (*.f64 2 i)))) (-.f64 (*.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 i)) (+.f64 (+.f64 alpha beta) (*.f64 2 i))) 1))
57.3b
(/.f64 (-.f64 (+.f64 (/.f64 (*.f64 i (pow.f64 alpha 3)) (*.f64 beta beta)) (fma.f64 5 (/.f64 (pow.f64 i 4) (*.f64 beta beta)) (fma.f64 10 (/.f64 (*.f64 (pow.f64 i 3) alpha) (*.f64 beta beta)) (fma.f64 i alpha (+.f64 (*.f64 i i) (*.f64 6 (/.f64 (*.f64 (*.f64 i i) (*.f64 alpha alpha)) (*.f64 beta beta)))))))) (fma.f64 2 (/.f64 (pow.f64 i 3) beta) (fma.f64 3 (/.f64 (*.f64 (*.f64 i i) alpha) beta) (/.f64 (*.f64 i (*.f64 alpha alpha)) beta)))) (-.f64 (*.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 i)) (+.f64 (+.f64 alpha beta) (*.f64 2 i))) 1))
55.6b
(/.f64 (/.f64 (*.f64 (*.f64 i (+.f64 (+.f64 alpha beta) i)) (+.f64 (*.f64 beta alpha) (*.f64 i (+.f64 (+.f64 alpha beta) i)))) (*.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 i)) (+.f64 (+.f64 alpha beta) (*.f64 2 i)))) (-.f64 (*.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 i)) (+.f64 (+.f64 alpha beta) (*.f64 2 i))) 1))
22.8b
(-.f64 (+.f64 1/16 (*.f64 1/64 (/.f64 1 (*.f64 i i)))) (*.f64 1/32 (+.f64 (/.f64 (*.f64 beta beta) (*.f64 i i)) (/.f64 (*.f64 alpha alpha) (*.f64 i i)))))
Compiler

Compiled 750 to 407 computations (45.7% saved)

localize14.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.0b
(-.f64 (+.f64 1/16 (*.f64 1/64 (/.f64 1 (*.f64 i i)))) (*.f64 1/32 (+.f64 (/.f64 (*.f64 beta beta) (*.f64 i i)) (/.f64 (*.f64 alpha alpha) (*.f64 i i)))))
0.5b
(/.f64 1 (*.f64 i i))
3.4b
(/.f64 (*.f64 alpha alpha) (*.f64 i i))
17.9b
(/.f64 (*.f64 beta beta) (*.f64 i i))

series191.0ms (1.8%)

Counts
4 → 96
Calls

4 calls:

125.0ms
(-.f64 (+.f64 1/16 (*.f64 1/64 (/.f64 1 (*.f64 i i)))) (*.f64 1/32 (+.f64 (/.f64 (*.f64 beta beta) (*.f64 i i)) (/.f64 (*.f64 alpha alpha) (*.f64 i i)))))
32.0ms
(/.f64 (*.f64 beta beta) (*.f64 i i))
31.0ms
(/.f64 (*.f64 alpha alpha) (*.f64 i i))
2.0ms
(/.f64 1 (*.f64 i i))

rewrite29.0ms (0.3%)

Algorithm
rewrite-expression-head
Rules
39×add-exp-log_binary64
33×add-cbrt-cube_binary64
12×div-exp_binary64
12×pow1_binary64
11×prod-exp_binary64
Counts
4 → 110
Calls

4 calls:

6.0ms
(-.f64 (+.f64 1/16 (*.f64 1/64 (/.f64 1 (*.f64 i i)))) (*.f64 1/32 (+.f64 (/.f64 (*.f64 beta beta) (*.f64 i i)) (/.f64 (*.f64 alpha alpha) (*.f64 i i)))))
5.0ms
(/.f64 (*.f64 alpha alpha) (*.f64 i i))
5.0ms
(/.f64 (*.f64 beta beta) (*.f64 i i))
3.0ms
(/.f64 1 (*.f64 i i))

simplify147.0ms (1.4%)

Algorithm
egg-herbie
Rules
399×fma-neg_binary64
341×cancel-sign-sub-inv_binary64
323×associate-/l/_binary64
216×distribute-rgt-neg-in_binary64
210×times-frac_binary64
Counts
206 → 165
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02314649
16724112
228183353
348763353
450013353

prune163.0ms (1.6%)

Pruning

9 alts after pruning (7 fresh and 2 done)

PrunedKeptTotal
New1623165
Fresh145
Picked101
Done022
Total1649173
Error
6.8b
Counts
173 → 9
Alt Table
StatusErrorProgram
38.4b
(*.f64 (/.f64 (/.f64 (*.f64 i (+.f64 (+.f64 alpha beta) i)) (+.f64 (+.f64 alpha beta) (*.f64 2 i))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 i)) 1)) (/.f64 (/.f64 (fma.f64 beta alpha (*.f64 i (+.f64 (+.f64 alpha beta) i))) (+.f64 (+.f64 alpha beta) (*.f64 2 i))) (-.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 i)) 1)))
41.4b
(/.f64 (*.f64 1/4 (pow.f64 i 2)) (-.f64 (*.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 i)) (+.f64 (+.f64 alpha beta) (*.f64 2 i))) 1))
59.5b
(*.f64 -1/32 (/.f64 (pow.f64 alpha 2) (pow.f64 i 2)))
40.9b
(*.f64 (/.f64 (/.f64 (*.f64 i (+.f64 (+.f64 alpha beta) i)) (+.f64 (+.f64 alpha beta) (*.f64 2 i))) (*.f64 (cbrt.f64 (fma.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 i)) (+.f64 (+.f64 alpha beta) (*.f64 2 i)) -1)) (cbrt.f64 (fma.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 i)) (+.f64 (+.f64 alpha beta) (*.f64 2 i)) -1)))) (/.f64 (/.f64 (fma.f64 beta alpha (*.f64 i (+.f64 (+.f64 alpha beta) i))) (+.f64 (+.f64 alpha beta) (*.f64 2 i))) (cbrt.f64 (fma.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 i)) (+.f64 (+.f64 alpha beta) (*.f64 2 i)) -1))))
16.9b
1/16
55.6b
(/.f64 (/.f64 (*.f64 (*.f64 i (+.f64 (+.f64 alpha beta) i)) (+.f64 (*.f64 beta alpha) (*.f64 i (+.f64 (+.f64 alpha beta) i)))) (*.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 i)) (+.f64 (+.f64 alpha beta) (*.f64 2 i)))) (-.f64 (*.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 i)) (+.f64 (+.f64 alpha beta) (*.f64 2 i))) 1))
17.3b
(+.f64 (+.f64 1/16 (*.f64 1/64 (/.f64 1 (*.f64 i i)))) (*.f64 (/.f64 -1/32 i) (+.f64 (*.f64 (/.f64 beta i) beta) (*.f64 (/.f64 alpha i) alpha))))
18.1b
(fma.f64 (*.f64 (cbrt.f64 (+.f64 1/16 (*.f64 1/64 (/.f64 1 (*.f64 i i))))) (cbrt.f64 (+.f64 1/16 (*.f64 1/64 (/.f64 1 (*.f64 i i)))))) (cbrt.f64 (+.f64 1/16 (*.f64 1/64 (/.f64 1 (*.f64 i i))))) (*.f64 (/.f64 -1/32 i) (+.f64 (*.f64 (/.f64 beta i) beta) (*.f64 (/.f64 alpha i) alpha))))
57.3b
(/.f64 (-.f64 (+.f64 (/.f64 (*.f64 i (pow.f64 alpha 3)) (*.f64 beta beta)) (fma.f64 5 (/.f64 (pow.f64 i 4) (*.f64 beta beta)) (fma.f64 10 (/.f64 (*.f64 (pow.f64 i 3) alpha) (*.f64 beta beta)) (fma.f64 i alpha (+.f64 (*.f64 i i) (*.f64 6 (/.f64 (*.f64 (*.f64 i i) (*.f64 alpha alpha)) (*.f64 beta beta)))))))) (fma.f64 2 (/.f64 (pow.f64 i 3) beta) (fma.f64 3 (/.f64 (*.f64 (*.f64 i i) alpha) beta) (/.f64 (*.f64 i (*.f64 alpha alpha)) beta)))) (-.f64 (*.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 i)) (+.f64 (+.f64 alpha beta) (*.f64 2 i))) 1))
Compiler

Compiled 6975 to 2968 computations (57.4% saved)

localize16.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.1b
(*.f64 (/.f64 alpha i) alpha)
0.1b
(*.f64 (/.f64 beta i) beta)
0.5b
(/.f64 1 (*.f64 i i))
4.6b
(*.f64 (/.f64 -1/32 i) (+.f64 (*.f64 (/.f64 beta i) beta) (*.f64 (/.f64 alpha i) alpha)))

series97.0ms (0.9%)

Counts
3 → 84
Calls

3 calls:

74.0ms
(*.f64 (/.f64 -1/32 i) (+.f64 (*.f64 (/.f64 beta i) beta) (*.f64 (/.f64 alpha i) alpha)))
12.0ms
(*.f64 (/.f64 alpha i) alpha)
11.0ms
(*.f64 (/.f64 beta i) beta)

rewrite28.0ms (0.3%)

Algorithm
rewrite-expression-head
Rules
42×add-sqr-sqrt_binary64
39×associate-*l*_binary64
30×times-frac_binary64
27×*-un-lft-identity_binary64
27×add-cube-cbrt_binary64
Counts
3 → 110
Calls

3 calls:

10.0ms
(*.f64 (/.f64 -1/32 i) (+.f64 (*.f64 (/.f64 beta i) beta) (*.f64 (/.f64 alpha i) alpha)))
5.0ms
(*.f64 (/.f64 alpha i) alpha)
5.0ms
(*.f64 (/.f64 beta i) beta)

simplify106.0ms (1%)

Algorithm
egg-herbie
Rules
583×fma-def_binary64
545×times-frac_binary64
385×distribute-rgt-in_binary64
261×associate-*l*_binary64
237×associate-*r*_binary64
Counts
194 → 194
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
02263036
16762682
222622682
348342672
449912672

prune217.0ms (2.1%)

Pruning

9 alts after pruning (6 fresh and 3 done)

PrunedKeptTotal
New2330233
Fresh066
Picked011
Done022
Total2339242
Error
6.8b
Counts
242 → 9
Alt Table
StatusErrorProgram
38.4b
(*.f64 (/.f64 (/.f64 (*.f64 i (+.f64 (+.f64 alpha beta) i)) (+.f64 (+.f64 alpha beta) (*.f64 2 i))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 i)) 1)) (/.f64 (/.f64 (fma.f64 beta alpha (*.f64 i (+.f64 (+.f64 alpha beta) i))) (+.f64 (+.f64 alpha beta) (*.f64 2 i))) (-.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 i)) 1)))
41.4b
(/.f64 (*.f64 1/4 (pow.f64 i 2)) (-.f64 (*.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 i)) (+.f64 (+.f64 alpha beta) (*.f64 2 i))) 1))
59.5b
(*.f64 -1/32 (/.f64 (pow.f64 alpha 2) (pow.f64 i 2)))
40.9b
(*.f64 (/.f64 (/.f64 (*.f64 i (+.f64 (+.f64 alpha beta) i)) (+.f64 (+.f64 alpha beta) (*.f64 2 i))) (*.f64 (cbrt.f64 (fma.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 i)) (+.f64 (+.f64 alpha beta) (*.f64 2 i)) -1)) (cbrt.f64 (fma.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 i)) (+.f64 (+.f64 alpha beta) (*.f64 2 i)) -1)))) (/.f64 (/.f64 (fma.f64 beta alpha (*.f64 i (+.f64 (+.f64 alpha beta) i))) (+.f64 (+.f64 alpha beta) (*.f64 2 i))) (cbrt.f64 (fma.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 i)) (+.f64 (+.f64 alpha beta) (*.f64 2 i)) -1))))
16.9b
1/16
55.6b
(/.f64 (/.f64 (*.f64 (*.f64 i (+.f64 (+.f64 alpha beta) i)) (+.f64 (*.f64 beta alpha) (*.f64 i (+.f64 (+.f64 alpha beta) i)))) (*.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 i)) (+.f64 (+.f64 alpha beta) (*.f64 2 i)))) (-.f64 (*.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 i)) (+.f64 (+.f64 alpha beta) (*.f64 2 i))) 1))
17.3b
(+.f64 (+.f64 1/16 (*.f64 1/64 (/.f64 1 (*.f64 i i)))) (*.f64 (/.f64 -1/32 i) (+.f64 (*.f64 (/.f64 beta i) beta) (*.f64 (/.f64 alpha i) alpha))))
18.1b
(fma.f64 (*.f64 (cbrt.f64 (+.f64 1/16 (*.f64 1/64 (/.f64 1 (*.f64 i i))))) (cbrt.f64 (+.f64 1/16 (*.f64 1/64 (/.f64 1 (*.f64 i i)))))) (cbrt.f64 (+.f64 1/16 (*.f64 1/64 (/.f64 1 (*.f64 i i))))) (*.f64 (/.f64 -1/32 i) (+.f64 (*.f64 (/.f64 beta i) beta) (*.f64 (/.f64 alpha i) alpha))))
57.3b
(/.f64 (-.f64 (+.f64 (/.f64 (*.f64 i (pow.f64 alpha 3)) (*.f64 beta beta)) (fma.f64 5 (/.f64 (pow.f64 i 4) (*.f64 beta beta)) (fma.f64 10 (/.f64 (*.f64 (pow.f64 i 3) alpha) (*.f64 beta beta)) (fma.f64 i alpha (+.f64 (*.f64 i i) (*.f64 6 (/.f64 (*.f64 (*.f64 i i) (*.f64 alpha alpha)) (*.f64 beta beta)))))))) (fma.f64 2 (/.f64 (pow.f64 i 3) beta) (fma.f64 3 (/.f64 (*.f64 (*.f64 i i) alpha) beta) (/.f64 (*.f64 i (*.f64 alpha alpha)) beta)))) (-.f64 (*.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 i)) (+.f64 (+.f64 alpha beta) (*.f64 2 i))) 1))
Compiler

Compiled 7877 to 3482 computations (55.8% saved)

regimes1.9s (18.7%)

Accuracy

Total 3.1b remaining (28.5%)

Threshold costs 0b (0%)

Counts
156 → 2
Compiler

Compiled 35508 to 18873 computations (46.8% saved)

bsearch26.0ms (0.3%)

Steps
ItersRangePoint
3
2.539240307167744e+138
2.9567767913162417e+138
2.9306807610569605e+138
Compiler

Compiled 4 to 3 computations (25% saved)

simplify3.0ms (0%)

Algorithm
egg-herbie
Rules
+-commutative_binary64
*-commutative_binary64
sub-neg_binary64
1-exp_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02487
13687
23787
33587

end223.0ms (2.2%)

Remove

(sort alpha beta)

Compiler

Compiled 667 to 366 computations (45.1% saved)

Profiling

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