Details

Time bar (total: 2.5min)

analyze1.0ms (0%)

Algorithm
search
Search
TrueOtherFalseIter
0%100%0%0
100%0%0%1
Compiler

Compiled 66 to 53 computations (19.7% saved)

sample1.9s (1.3%)

Results
1.8s8256×body128valid
Compiler

Compiled 197 to 158 computations (19.8% saved)

simplify55.0ms (0%)

Algorithm
egg-herbie
Rules
660×fma-neg_binary64
578×times-frac_binary64
564×cancel-sign-sub-inv_binary64
389×fma-def_binary64
380×distribute-rgt-in_binary64
Counts
1 → 2
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
02793
19169
227069
382569
4284069
5483969
6507469

prune7.0ms (0%)

Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New022
Fresh011
Picked000
Done000
Total033
Error
13.9b
Counts
3 → 2
Alt Table
StatusErrorProgram
13.9b
(-.f64 1 (/.f64 (+.f64 31853699/125000000 (/.f64 (+.f64 -8890523/31250000 (/.f64 (+.f64 1421413741/1000000000 (/.f64 (+.f64 -1453152027/1000000000 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 (fabs.f64 x) 1))) (fma.f64 3275911/10000000 (fabs.f64 x) 1))) (fma.f64 3275911/10000000 (fabs.f64 x) 1))) (fma.f64 3275911/10000000 (fabs.f64 x) 1))) (*.f64 (fma.f64 3275911/10000000 (fabs.f64 x) 1) (exp.f64 (*.f64 x x)))))
13.9b
(-.f64 1 (*.f64 (*.f64 (/.f64 1 (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 31853699/125000000 (*.f64 (/.f64 1 (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 -8890523/31250000 (*.f64 (/.f64 1 (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 1421413741/1000000000 (*.f64 (/.f64 1 (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 -1453152027/1000000000 (*.f64 (/.f64 1 (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x)))) 1061405429/1000000000))))))))) (exp.f64 (neg.f64 (*.f64 (fabs.f64 x) (fabs.f64 x))))))
Compiler

Compiled 335 to 262 computations (21.8% saved)

localize20.0ms (0%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.3b
(/.f64 (+.f64 -8890523/31250000 (/.f64 (+.f64 1421413741/1000000000 (/.f64 (+.f64 -1453152027/1000000000 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 (fabs.f64 x) 1))) (fma.f64 3275911/10000000 (fabs.f64 x) 1))) (fma.f64 3275911/10000000 (fabs.f64 x) 1))) (fma.f64 3275911/10000000 (fabs.f64 x) 1))
0.5b
(+.f64 1421413741/1000000000 (/.f64 (+.f64 -1453152027/1000000000 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 (fabs.f64 x) 1))) (fma.f64 3275911/10000000 (fabs.f64 x) 1)))
0.8b
(+.f64 -1453152027/1000000000 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 (fabs.f64 x) 1)))
13.8b
(-.f64 1 (/.f64 (+.f64 31853699/125000000 (/.f64 (+.f64 -8890523/31250000 (/.f64 (+.f64 1421413741/1000000000 (/.f64 (+.f64 -1453152027/1000000000 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 (fabs.f64 x) 1))) (fma.f64 3275911/10000000 (fabs.f64 x) 1))) (fma.f64 3275911/10000000 (fabs.f64 x) 1))) (fma.f64 3275911/10000000 (fabs.f64 x) 1))) (*.f64 (fma.f64 3275911/10000000 (fabs.f64 x) 1) (exp.f64 (*.f64 x x)))))

series1.0s (0.7%)

Counts
4 → 48
Calls

4 calls:

764.0ms
(-.f64 1 (/.f64 (+.f64 31853699/125000000 (/.f64 (+.f64 -8890523/31250000 (/.f64 (+.f64 1421413741/1000000000 (/.f64 (+.f64 -1453152027/1000000000 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 (fabs.f64 x) 1))) (fma.f64 3275911/10000000 (fabs.f64 x) 1))) (fma.f64 3275911/10000000 (fabs.f64 x) 1))) (fma.f64 3275911/10000000 (fabs.f64 x) 1))) (*.f64 (fma.f64 3275911/10000000 (fabs.f64 x) 1) (exp.f64 (*.f64 x x)))))
182.0ms
(/.f64 (+.f64 -8890523/31250000 (/.f64 (+.f64 1421413741/1000000000 (/.f64 (+.f64 -1453152027/1000000000 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 (fabs.f64 x) 1))) (fma.f64 3275911/10000000 (fabs.f64 x) 1))) (fma.f64 3275911/10000000 (fabs.f64 x) 1))) (fma.f64 3275911/10000000 (fabs.f64 x) 1))
80.0ms
(+.f64 1421413741/1000000000 (/.f64 (+.f64 -1453152027/1000000000 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 (fabs.f64 x) 1))) (fma.f64 3275911/10000000 (fabs.f64 x) 1)))
17.0ms
(+.f64 -1453152027/1000000000 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 (fabs.f64 x) 1)))

rewrite53.0ms (0%)

Algorithm
batch-egg-rewrite
Rules
273×add-sqr-sqrt_binary64
262×log1p-expm1-u_binary64
262×expm1-log1p-u_binary64
258×add-log-exp_binary64
257×add-cbrt-cube_binary64
Counts
4 → 80
Calls

4 calls:

51.0ms
(/.f64 (+.f64 -8890523/31250000 (/.f64 (+.f64 1421413741/1000000000 (/.f64 (+.f64 -1453152027/1000000000 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 (fabs.f64 x) 1))) (fma.f64 3275911/10000000 (fabs.f64 x) 1))) (fma.f64 3275911/10000000 (fabs.f64 x) 1))) (fma.f64 3275911/10000000 (fabs.f64 x) 1))
51.0ms
(+.f64 1421413741/1000000000 (/.f64 (+.f64 -1453152027/1000000000 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 (fabs.f64 x) 1))) (fma.f64 3275911/10000000 (fabs.f64 x) 1)))
51.0ms
(+.f64 -1453152027/1000000000 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 (fabs.f64 x) 1)))
50.0ms
(-.f64 1 (/.f64 (+.f64 31853699/125000000 (/.f64 (+.f64 -8890523/31250000 (/.f64 (+.f64 1421413741/1000000000 (/.f64 (+.f64 -1453152027/1000000000 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 (fabs.f64 x) 1))) (fma.f64 3275911/10000000 (fabs.f64 x) 1))) (fma.f64 3275911/10000000 (fabs.f64 x) 1))) (fma.f64 3275911/10000000 (fabs.f64 x) 1))) (*.f64 (fma.f64 3275911/10000000 (fabs.f64 x) 1) (exp.f64 (*.f64 x x)))))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
024153
1555153
25057153

simplify173.0ms (0.1%)

Algorithm
egg-herbie
Rules
981×fma-def_binary64
669×associate-/l*_binary64
434×times-frac_binary64
259×+-commutative_binary64
246×associate-+r+_binary64
Counts
128 → 98
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
08078972
125867742
250847742

prune407.0ms (0.3%)

Pruning

5 alts after pruning (5 fresh and 0 done)

PrunedKeptTotal
New93598
Fresh101
Picked101
Done000
Total955100
Error
13.8b
Counts
100 → 5
Alt Table
StatusErrorProgram
13.9b
(-.f64 1 (/.f64 (+.f64 31853699/125000000 (/.f64 (-.f64 (+.f64 (/.f64 1061405429/1000000000 (pow.f64 (fma.f64 3275911/10000000 (fabs.f64 x) 1) 3)) (/.f64 1421413741/1000000000 (fma.f64 3275911/10000000 (fabs.f64 x) 1))) (+.f64 8890523/31250000 (/.f64 1453152027/1000000000 (pow.f64 (fma.f64 3275911/10000000 (fabs.f64 x) 1) 2)))) (fma.f64 3275911/10000000 (fabs.f64 x) 1))) (*.f64 (fma.f64 3275911/10000000 (fabs.f64 x) 1) (exp.f64 (*.f64 x x)))))
45.2b
(-.f64 (+.f64 1 (fma.f64 1421413741/1000000000 (/.f64 (*.f64 x x) (pow.f64 (fma.f64 3275911/10000000 (fabs.f64 x) 1) 6)) (fma.f64 13969274729079153/10000000000000000 (/.f64 (pow.f64 (fabs.f64 x) 3) (pow.f64 (fma.f64 3275911/10000000 (fabs.f64 x) 1) 6)) (fma.f64 1061405429/1000000000 (/.f64 (*.f64 x x) (pow.f64 (fma.f64 3275911/10000000 (fabs.f64 x) 1) 10)) (fma.f64 3477069720320819/2000000000000000 (/.f64 (pow.f64 (fabs.f64 x) 3) (pow.f64 (fma.f64 3275911/10000000 (fabs.f64 x) 1) 10)) (fma.f64 45762100747012417183383/100000000000000000000000 (/.f64 (pow.f64 x 4) (pow.f64 (fma.f64 3275911/10000000 (fabs.f64 x) 1) 6)) (fma.f64 400443986605435932128129721408443464471379/100000000000000000000000000000000000000000000 (/.f64 (*.f64 (*.f64 x x) (pow.f64 (fabs.f64 x) 5)) (pow.f64 (fma.f64 3275911/10000000 (fabs.f64 x) 1) 10)) (fma.f64 49970856406748731529211128971/1000000000000000000000000000000 (*.f64 (/.f64 (pow.f64 (fabs.f64 x) 3) (pow.f64 (fma.f64 3275911/10000000 (fabs.f64 x) 1) 6)) (*.f64 x x)) (+.f64 (/.f64 1453152027/1000000000 (pow.f64 (fma.f64 3275911/10000000 (fabs.f64 x) 1) 4)) (+.f64 (/.f64 8890523/31250000 (pow.f64 (fma.f64 3275911/10000000 (fabs.f64 x) 1) 2)) (fma.f64 122238970046938372906995862039122389/2000000000000000000000000000000000000 (/.f64 (pow.f64 x 6) (pow.f64 (fma.f64 3275911/10000000 (fabs.f64 x) 1) 10)) (fma.f64 37314496653583803988263375299/100000000000000000000000000000 (*.f64 (/.f64 (pow.f64 (fabs.f64 x) 3) (pow.f64 (fma.f64 3275911/10000000 (fabs.f64 x) 1) 10)) (*.f64 x x)) (fma.f64 31853699/125000000 (/.f64 (*.f64 x x) (fma.f64 3275911/10000000 (fabs.f64 x) 1)) (*.f64 11390570944565894491109/10000000000000000000000 (/.f64 (pow.f64 x 4) (pow.f64 (fma.f64 3275911/10000000 (fabs.f64 x) 1) 10)))))))))))))))) (fma.f64 29124562091453/156250000000000 (/.f64 (pow.f64 (fabs.f64 x) 3) (pow.f64 (fma.f64 3275911/10000000 (fabs.f64 x) 1) 4)) (fma.f64 8890523/31250000 (/.f64 (*.f64 x x) (pow.f64 (fma.f64 3275911/10000000 (fabs.f64 x) 1) 4)) (+.f64 (/.f64 1061405429/1000000000 (pow.f64 (fma.f64 3275911/10000000 (fabs.f64 x) 1) 5)) (+.f64 (/.f64 31853699/125000000 (fma.f64 3275911/10000000 (fabs.f64 x) 1)) (fma.f64 4760396709921597/2500000000000000 (/.f64 (pow.f64 (fabs.f64 x) 3) (pow.f64 (fma.f64 3275911/10000000 (fabs.f64 x) 1) 8)) (fma.f64 1453152027/1000000000 (/.f64 (*.f64 x x) (pow.f64 (fma.f64 3275911/10000000 (fabs.f64 x) 1) 8)) (fma.f64 46783907839187906249601/50000000000000000000000 (/.f64 (pow.f64 x 4) (pow.f64 (fma.f64 3275911/10000000 (fabs.f64 x) 1) 8)) (+.f64 (/.f64 1421413741/1000000000 (pow.f64 (fma.f64 3275911/10000000 (fabs.f64 x) 1) 3)) (fma.f64 167355284087303063657009916615720507/10000000000000000000000000000000000000 (/.f64 (pow.f64 x 6) (pow.f64 (fma.f64 3275911/10000000 (fabs.f64 x) 1) 8)) (fma.f64 95409473325573888683/3125000000000000000000 (/.f64 (pow.f64 x 4) (pow.f64 (fma.f64 3275911/10000000 (fabs.f64 x) 1) 4)) (*.f64 51086639437793964383345553837/250000000000000000000000000000 (*.f64 (/.f64 (pow.f64 (fabs.f64 x) 3) (pow.f64 (fma.f64 3275911/10000000 (fabs.f64 x) 1) 8)) (*.f64 x x))))))))))))))
13.8b
(/.f64 (-.f64 1 (pow.f64 (/.f64 (+.f64 31853699/125000000 (/.f64 (+.f64 -8890523/31250000 (/.f64 (+.f64 1421413741/1000000000 (/.f64 (+.f64 -1453152027/1000000000 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 (fabs.f64 x) 1))) (fma.f64 3275911/10000000 (fabs.f64 x) 1))) (fma.f64 3275911/10000000 (fabs.f64 x) 1))) (fma.f64 3275911/10000000 (fabs.f64 x) 1))) (*.f64 (fma.f64 3275911/10000000 (fabs.f64 x) 1) (exp.f64 (*.f64 x x)))) 3)) (+.f64 1 (+.f64 (pow.f64 (/.f64 (+.f64 31853699/125000000 (/.f64 (+.f64 -8890523/31250000 (/.f64 (+.f64 1421413741/1000000000 (/.f64 (+.f64 -1453152027/1000000000 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 (fabs.f64 x) 1))) (fma.f64 3275911/10000000 (fabs.f64 x) 1))) (fma.f64 3275911/10000000 (fabs.f64 x) 1))) (fma.f64 3275911/10000000 (fabs.f64 x) 1))) (*.f64 (fma.f64 3275911/10000000 (fabs.f64 x) 1) (exp.f64 (*.f64 x x)))) 2) (/.f64 (+.f64 31853699/125000000 (/.f64 (+.f64 -8890523/31250000 (/.f64 (+.f64 1421413741/1000000000 (/.f64 (+.f64 -1453152027/1000000000 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 (fabs.f64 x) 1))) (fma.f64 3275911/10000000 (fabs.f64 x) 1))) (fma.f64 3275911/10000000 (fabs.f64 x) 1))) (fma.f64 3275911/10000000 (fabs.f64 x) 1))) (*.f64 (fma.f64 3275911/10000000 (fabs.f64 x) 1) (exp.f64 (*.f64 x x)))))))
13.9b
(-.f64 1 (/.f64 (+.f64 31853699/125000000 (pow.f64 (cbrt.f64 (/.f64 (+.f64 -8890523/31250000 (/.f64 (+.f64 1421413741/1000000000 (/.f64 (+.f64 -1453152027/1000000000 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 (fabs.f64 x) 1))) (fma.f64 3275911/10000000 (fabs.f64 x) 1))) (fma.f64 3275911/10000000 (fabs.f64 x) 1))) (fma.f64 3275911/10000000 (fabs.f64 x) 1))) 3)) (*.f64 (fma.f64 3275911/10000000 (fabs.f64 x) 1) (exp.f64 (*.f64 x x)))))
14.6b
(log.f64 (exp.f64 (-.f64 1 (/.f64 (+.f64 31853699/125000000 (/.f64 (+.f64 -8890523/31250000 (/.f64 (+.f64 1421413741/1000000000 (/.f64 (+.f64 -1453152027/1000000000 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 (fabs.f64 x) 1))) (fma.f64 3275911/10000000 (fabs.f64 x) 1))) (fma.f64 3275911/10000000 (fabs.f64 x) 1))) (fma.f64 3275911/10000000 (fabs.f64 x) 1))) (*.f64 (fma.f64 3275911/10000000 (fabs.f64 x) 1) (exp.f64 (*.f64 x x)))))))
Compiler

Compiled 14729 to 10777 computations (26.8% saved)

localize76.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.5b
(/.f64 (-.f64 1 (pow.f64 (/.f64 (+.f64 31853699/125000000 (/.f64 (+.f64 -8890523/31250000 (/.f64 (+.f64 1421413741/1000000000 (/.f64 (+.f64 -1453152027/1000000000 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 (fabs.f64 x) 1))) (fma.f64 3275911/10000000 (fabs.f64 x) 1))) (fma.f64 3275911/10000000 (fabs.f64 x) 1))) (fma.f64 3275911/10000000 (fabs.f64 x) 1))) (*.f64 (fma.f64 3275911/10000000 (fabs.f64 x) 1) (exp.f64 (*.f64 x x)))) 3)) (+.f64 1 (+.f64 (pow.f64 (/.f64 (+.f64 31853699/125000000 (/.f64 (+.f64 -8890523/31250000 (/.f64 (+.f64 1421413741/1000000000 (/.f64 (+.f64 -1453152027/1000000000 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 (fabs.f64 x) 1))) (fma.f64 3275911/10000000 (fabs.f64 x) 1))) (fma.f64 3275911/10000000 (fabs.f64 x) 1))) (fma.f64 3275911/10000000 (fabs.f64 x) 1))) (*.f64 (fma.f64 3275911/10000000 (fabs.f64 x) 1) (exp.f64 (*.f64 x x)))) 2) (/.f64 (+.f64 31853699/125000000 (/.f64 (+.f64 -8890523/31250000 (/.f64 (+.f64 1421413741/1000000000 (/.f64 (+.f64 -1453152027/1000000000 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 (fabs.f64 x) 1))) (fma.f64 3275911/10000000 (fabs.f64 x) 1))) (fma.f64 3275911/10000000 (fabs.f64 x) 1))) (fma.f64 3275911/10000000 (fabs.f64 x) 1))) (*.f64 (fma.f64 3275911/10000000 (fabs.f64 x) 1) (exp.f64 (*.f64 x x)))))))
0.5b
(pow.f64 (/.f64 (+.f64 31853699/125000000 (/.f64 (+.f64 -8890523/31250000 (/.f64 (+.f64 1421413741/1000000000 (/.f64 (+.f64 -1453152027/1000000000 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 (fabs.f64 x) 1))) (fma.f64 3275911/10000000 (fabs.f64 x) 1))) (fma.f64 3275911/10000000 (fabs.f64 x) 1))) (fma.f64 3275911/10000000 (fabs.f64 x) 1))) (*.f64 (fma.f64 3275911/10000000 (fabs.f64 x) 1) (exp.f64 (*.f64 x x)))) 3)
0.8b
(+.f64 -1453152027/1000000000 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 (fabs.f64 x) 1)))
13.3b
(-.f64 1 (pow.f64 (/.f64 (+.f64 31853699/125000000 (/.f64 (+.f64 -8890523/31250000 (/.f64 (+.f64 1421413741/1000000000 (/.f64 (+.f64 -1453152027/1000000000 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 (fabs.f64 x) 1))) (fma.f64 3275911/10000000 (fabs.f64 x) 1))) (fma.f64 3275911/10000000 (fabs.f64 x) 1))) (fma.f64 3275911/10000000 (fabs.f64 x) 1))) (*.f64 (fma.f64 3275911/10000000 (fabs.f64 x) 1) (exp.f64 (*.f64 x x)))) 3))

series2.4min (97.5%)

Calls

2 calls:

28.8s
(-.f64 1 (pow.f64 (/.f64 (+.f64 31853699/125000000 (/.f64 (+.f64 -8890523/31250000 (/.f64 (+.f64 1421413741/1000000000 (/.f64 (+.f64 -1453152027/1000000000 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 (fabs.f64 x) 1))) (fma.f64 3275911/10000000 (fabs.f64 x) 1))) (fma.f64 3275911/10000000 (fabs.f64 x) 1))) (fma.f64 3275911/10000000 (fabs.f64 x) 1))) (*.f64 (fma.f64 3275911/10000000 (fabs.f64 x) 1) (exp.f64 (*.f64 x x)))) 3))
360.0ms
(pow.f64 (/.f64 (+.f64 31853699/125000000 (/.f64 (+.f64 -8890523/31250000 (/.f64 (+.f64 1421413741/1000000000 (/.f64 (+.f64 -1453152027/1000000000 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 (fabs.f64 x) 1))) (fma.f64 3275911/10000000 (fabs.f64 x) 1))) (fma.f64 3275911/10000000 (fabs.f64 x) 1))) (fma.f64 3275911/10000000 (fabs.f64 x) 1))) (*.f64 (fma.f64 3275911/10000000 (fabs.f64 x) 1) (exp.f64 (*.f64 x x)))) 3)

Profiling

Loading profile data...