Details

Time bar (total: 20.5s)

analyze2.7s (13.1%)

Algorithm
search
Search
TrueOtherFalseIter
0%99.7%0.3%0
0%99.7%0.3%1
0%99.7%0.3%2
0%99.7%0.3%3
0%99.7%0.3%4
0%99.7%0.3%5
0%99.7%0.3%6
0%99.7%0.3%7
0%99.7%0.3%8
0%99.7%0.3%9
0%99.7%0.3%10
0%99.7%0.3%11
0%99.7%0.3%12
0.8%98.9%0.3%13
1.2%98.5%0.3%14
Compiler

Compiled 44 to 31 computations (29.5% saved)

sample2.1s (10.2%)

Results
1.7s8256×body128valid
201.0ms880×body128invalid
Compiler

Compiled 131 to 92 computations (29.8% saved)

simplify79.0ms (0.4%)

Algorithm
egg-herbie
Rules
918×distribute-rgt-in_binary64
850×distribute-lft-in_binary64
677×associate-/l*_binary64
676×fma-def_binary64
633×associate-+l+_binary64
Counts
1 → 2
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
03141
16341
213139
327439
472039
5184339
6243039
7285139
8346639
9413239
10459639
11513839

prune5.0ms (0%)

Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New022
Fresh011
Picked000
Done000
Total033
Error
24.6b
Counts
3 → 2
Alt Table
StatusErrorProgram
24.6b
(fma.f64 y (/.f64 (fma.f64 z (fma.f64 z (fma.f64 z (fma.f64 z 313060547623/100000000000 55833770631/5000000000) t) a) b) (fma.f64 z (fma.f64 z (fma.f64 z (+.f64 z 15234687407/1000000000) 314690115749/10000000000) 119400905721/10000000000) 607771387771/1000000000000)) x)
26.1b
(+.f64 x (/.f64 (*.f64 y (+.f64 (*.f64 (+.f64 (*.f64 (+.f64 (*.f64 (+.f64 (*.f64 z 313060547623/100000000000) 55833770631/5000000000) z) t) z) a) z) b)) (+.f64 (*.f64 (+.f64 (*.f64 (+.f64 (*.f64 (+.f64 z 15234687407/1000000000) z) 314690115749/10000000000) z) 119400905721/10000000000) z) 607771387771/1000000000000)))
Compiler

Compiled 228 to 150 computations (34.2% saved)

localize45.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.1b
(fma.f64 z (fma.f64 z (+.f64 z 15234687407/1000000000) 314690115749/10000000000) 119400905721/10000000000)
0.1b
(fma.f64 y (/.f64 (fma.f64 z (fma.f64 z (fma.f64 z (fma.f64 z 313060547623/100000000000 55833770631/5000000000) t) a) b) (fma.f64 z (fma.f64 z (fma.f64 z (+.f64 z 15234687407/1000000000) 314690115749/10000000000) 119400905721/10000000000) 607771387771/1000000000000)) x)
0.1b
(fma.f64 z (fma.f64 z 313060547623/100000000000 55833770631/5000000000) t)
24.0b
(/.f64 (fma.f64 z (fma.f64 z (fma.f64 z (fma.f64 z 313060547623/100000000000 55833770631/5000000000) t) a) b) (fma.f64 z (fma.f64 z (fma.f64 z (+.f64 z 15234687407/1000000000) 314690115749/10000000000) 119400905721/10000000000) 607771387771/1000000000000))

series1.2s (5.9%)

Counts
4 → 156
Calls

4 calls:

783.0ms
(fma.f64 y (/.f64 (fma.f64 z (fma.f64 z (fma.f64 z (fma.f64 z 313060547623/100000000000 55833770631/5000000000) t) a) b) (fma.f64 z (fma.f64 z (fma.f64 z (+.f64 z 15234687407/1000000000) 314690115749/10000000000) 119400905721/10000000000) 607771387771/1000000000000)) x)
405.0ms
(/.f64 (fma.f64 z (fma.f64 z (fma.f64 z (fma.f64 z 313060547623/100000000000 55833770631/5000000000) t) a) b) (fma.f64 z (fma.f64 z (fma.f64 z (+.f64 z 15234687407/1000000000) 314690115749/10000000000) 119400905721/10000000000) 607771387771/1000000000000))
6.0ms
(fma.f64 z (fma.f64 z 313060547623/100000000000 55833770631/5000000000) t)
3.0ms
(fma.f64 z (fma.f64 z (+.f64 z 15234687407/1000000000) 314690115749/10000000000) 119400905721/10000000000)

rewrite6.0ms (0%)

Algorithm
rewrite-expression-head
Rules
12×*-un-lft-identity_binary64
12×add-sqr-sqrt_binary64
12×add-cube-cbrt_binary64
times-frac_binary64
add-cbrt-cube_binary64
Counts
4 → 59
Calls

4 calls:

2.0ms
(/.f64 (fma.f64 z (fma.f64 z (fma.f64 z (fma.f64 z 313060547623/100000000000 55833770631/5000000000) t) a) b) (fma.f64 z (fma.f64 z (fma.f64 z (+.f64 z 15234687407/1000000000) 314690115749/10000000000) 119400905721/10000000000) 607771387771/1000000000000))
0.0ms
(fma.f64 y (/.f64 (fma.f64 z (fma.f64 z (fma.f64 z (fma.f64 z 313060547623/100000000000 55833770631/5000000000) t) a) b) (fma.f64 z (fma.f64 z (fma.f64 z (+.f64 z 15234687407/1000000000) 314690115749/10000000000) 119400905721/10000000000) 607771387771/1000000000000)) x)
0.0ms
(fma.f64 z (fma.f64 z (+.f64 z 15234687407/1000000000) 314690115749/10000000000) 119400905721/10000000000)
0.0ms
(fma.f64 z (fma.f64 z 313060547623/100000000000 55833770631/5000000000) t)

simplify404.0ms (2%)

Algorithm
egg-herbie
Rules
467×cancel-sign-sub-inv_binary64
316×fma-def_binary64
302×fma-neg_binary64
258×associate-+r+_binary64
231×+-commutative_binary64
Counts
215 → 156
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
033418719
187018272
2285815157
3475715157
4495515157

prune293.0ms (1.4%)

Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New1506156
Fresh101
Picked011
Done000
Total1517158
Error
0.0b
Counts
158 → 7
Alt Table
StatusErrorProgram
20.1b
(fma.f64 y (/.f64 b (+.f64 607771387771/1000000000000 (+.f64 (*.f64 (pow.f64 z 3) (+.f64 z 15234687407/1000000000)) (*.f64 z (fma.f64 z 314690115749/10000000000 119400905721/10000000000))))) x)
24.6b
(fma.f64 y (/.f64 (fma.f64 z (fma.f64 z (fma.f64 z (fma.f64 z 313060547623/100000000000 55833770631/5000000000) t) a) b) (fma.f64 z (fma.f64 z (fma.f64 z (+.f64 z 15234687407/1000000000) 314690115749/10000000000) 119400905721/10000000000) 607771387771/1000000000000)) x)
28.5b
(-.f64 (+.f64 (*.f64 1000000000000/607771387771 (*.f64 y b)) (+.f64 (*.f64 1000000000000/607771387771 (*.f64 y (*.f64 t (pow.f64 z 2)))) (+.f64 (*.f64 1000000000000/607771387771 (*.f64 y (*.f64 a z))) (+.f64 (*.f64 123439798033292669987862100000000000000/224502278183706222041215714334315011 (*.f64 y (*.f64 b (pow.f64 z 2)))) x)))) (+.f64 (*.f64 11940090572100000000000000/369386059793087248348441 (*.f64 y (*.f64 b z))) (*.f64 11940090572100000000000000/369386059793087248348441 (*.f64 a (*.f64 y (pow.f64 z 2))))))
26.1b
(+.f64 (*.f64 55833770631/5000000000 (/.f64 (*.f64 y (pow.f64 z 3)) (+.f64 607771387771/1000000000000 (+.f64 (*.f64 314690115749/10000000000 (pow.f64 z 2)) (+.f64 (pow.f64 z 4) (+.f64 (*.f64 15234687407/1000000000 (pow.f64 z 3)) (*.f64 119400905721/10000000000 z))))))) (+.f64 (/.f64 (*.f64 y (*.f64 t (pow.f64 z 2))) (+.f64 607771387771/1000000000000 (+.f64 (*.f64 314690115749/10000000000 (pow.f64 z 2)) (+.f64 (pow.f64 z 4) (+.f64 (*.f64 15234687407/1000000000 (pow.f64 z 3)) (*.f64 119400905721/10000000000 z)))))) (+.f64 (/.f64 (*.f64 y b) (+.f64 607771387771/1000000000000 (+.f64 (*.f64 314690115749/10000000000 (pow.f64 z 2)) (+.f64 (pow.f64 z 4) (+.f64 (*.f64 15234687407/1000000000 (pow.f64 z 3)) (*.f64 119400905721/10000000000 z)))))) (+.f64 (*.f64 313060547623/100000000000 (/.f64 (*.f64 y (pow.f64 z 4)) (+.f64 607771387771/1000000000000 (+.f64 (*.f64 314690115749/10000000000 (pow.f64 z 2)) (+.f64 (pow.f64 z 4) (+.f64 (*.f64 15234687407/1000000000 (pow.f64 z 3)) (*.f64 119400905721/10000000000 z))))))) (+.f64 (/.f64 (*.f64 a (*.f64 y z)) (+.f64 607771387771/1000000000000 (+.f64 (*.f64 314690115749/10000000000 (pow.f64 z 2)) (+.f64 (pow.f64 z 4) (+.f64 (*.f64 15234687407/1000000000 (pow.f64 z 3)) (*.f64 119400905721/10000000000 z)))))) x)))))
24.6b
(fma.f64 y (*.f64 (fma.f64 z (fma.f64 z (fma.f64 z (fma.f64 z 313060547623/100000000000 55833770631/5000000000) t) a) b) (/.f64 1 (fma.f64 z (fma.f64 z (fma.f64 z (+.f64 z 15234687407/1000000000) 314690115749/10000000000) 119400905721/10000000000) 607771387771/1000000000000))) x)
31.8b
(+.f64 (fma.f64 313060547623/100000000000 y (fma.f64 45796100221584283915100827016327/100000000000000000000000000000 (/.f64 y (*.f64 z z)) x)) (*.f64 (/.f64 y z) (-.f64 (/.f64 t z) 3652704169880641883561/100000000000000000000)))
36.3b
(fma.f64 y (cbrt.f64 (pow.f64 (/.f64 (fma.f64 z (fma.f64 z (fma.f64 z (fma.f64 z 313060547623/100000000000 55833770631/5000000000) t) a) b) (fma.f64 z (fma.f64 z (fma.f64 z (+.f64 z 15234687407/1000000000) 314690115749/10000000000) 119400905721/10000000000) 607771387771/1000000000000)) 3)) x)
Compiler

Compiled 7907 to 5119 computations (35.3% saved)

localize13.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.1b
(fma.f64 z 314690115749/10000000000 119400905721/10000000000)
0.3b
(*.f64 z (fma.f64 z 314690115749/10000000000 119400905721/10000000000))
0.8b
(fma.f64 y (/.f64 b (+.f64 607771387771/1000000000000 (+.f64 (*.f64 (pow.f64 z 3) (+.f64 z 15234687407/1000000000)) (*.f64 z (fma.f64 z 314690115749/10000000000 119400905721/10000000000))))) x)
1.8b
(/.f64 b (+.f64 607771387771/1000000000000 (+.f64 (*.f64 (pow.f64 z 3) (+.f64 z 15234687407/1000000000)) (*.f64 z (fma.f64 z 314690115749/10000000000 119400905721/10000000000)))))

series396.0ms (1.9%)

Counts
4 → 96
Calls

4 calls:

255.0ms
(fma.f64 y (/.f64 b (+.f64 607771387771/1000000000000 (+.f64 (*.f64 (pow.f64 z 3) (+.f64 z 15234687407/1000000000)) (*.f64 z (fma.f64 z 314690115749/10000000000 119400905721/10000000000))))) x)
137.0ms
(/.f64 b (+.f64 607771387771/1000000000000 (+.f64 (*.f64 (pow.f64 z 3) (+.f64 z 15234687407/1000000000)) (*.f64 z (fma.f64 z 314690115749/10000000000 119400905721/10000000000)))))
3.0ms
(*.f64 z (fma.f64 z 314690115749/10000000000 119400905721/10000000000))
1.0ms
(fma.f64 z 314690115749/10000000000 119400905721/10000000000)

rewrite17.0ms (0.1%)

Algorithm
rewrite-expression-head
Rules
23×*-un-lft-identity_binary64
17×add-sqr-sqrt_binary64
15×add-cube-cbrt_binary64
12×times-frac_binary64
add-cbrt-cube_binary64
Counts
4 → 77
Calls

4 calls:

10.0ms
(/.f64 b (+.f64 607771387771/1000000000000 (+.f64 (*.f64 (pow.f64 z 3) (+.f64 z 15234687407/1000000000)) (*.f64 z (fma.f64 z 314690115749/10000000000 119400905721/10000000000)))))
3.0ms
(*.f64 z (fma.f64 z 314690115749/10000000000 119400905721/10000000000))
0.0ms
(fma.f64 y (/.f64 b (+.f64 607771387771/1000000000000 (+.f64 (*.f64 (pow.f64 z 3) (+.f64 z 15234687407/1000000000)) (*.f64 z (fma.f64 z 314690115749/10000000000 119400905721/10000000000))))) x)
0.0ms
(fma.f64 z 314690115749/10000000000 119400905721/10000000000)

simplify101.0ms (0.5%)

Algorithm
egg-herbie
Rules
766×distribute-rgt-in_binary64
751×distribute-lft-in_binary64
650×fma-def_binary64
273×cancel-sign-sub-inv_binary64
179×times-frac_binary64
Counts
173 → 177
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02144286
14873699
215293447
356963447

prune263.0ms (1.3%)

Pruning

7 alts after pruning (5 fresh and 2 done)

PrunedKeptTotal
New1770177
Fresh055
Picked011
Done011
Total1777184
Error
0.0b
Counts
184 → 7
Alt Table
StatusErrorProgram
20.1b
(fma.f64 y (/.f64 b (+.f64 607771387771/1000000000000 (+.f64 (*.f64 (pow.f64 z 3) (+.f64 z 15234687407/1000000000)) (*.f64 z (fma.f64 z 314690115749/10000000000 119400905721/10000000000))))) x)
24.6b
(fma.f64 y (/.f64 (fma.f64 z (fma.f64 z (fma.f64 z (fma.f64 z 313060547623/100000000000 55833770631/5000000000) t) a) b) (fma.f64 z (fma.f64 z (fma.f64 z (+.f64 z 15234687407/1000000000) 314690115749/10000000000) 119400905721/10000000000) 607771387771/1000000000000)) x)
28.5b
(-.f64 (+.f64 (*.f64 1000000000000/607771387771 (*.f64 y b)) (+.f64 (*.f64 1000000000000/607771387771 (*.f64 y (*.f64 t (pow.f64 z 2)))) (+.f64 (*.f64 1000000000000/607771387771 (*.f64 y (*.f64 a z))) (+.f64 (*.f64 123439798033292669987862100000000000000/224502278183706222041215714334315011 (*.f64 y (*.f64 b (pow.f64 z 2)))) x)))) (+.f64 (*.f64 11940090572100000000000000/369386059793087248348441 (*.f64 y (*.f64 b z))) (*.f64 11940090572100000000000000/369386059793087248348441 (*.f64 a (*.f64 y (pow.f64 z 2))))))
26.1b
(+.f64 (*.f64 55833770631/5000000000 (/.f64 (*.f64 y (pow.f64 z 3)) (+.f64 607771387771/1000000000000 (+.f64 (*.f64 314690115749/10000000000 (pow.f64 z 2)) (+.f64 (pow.f64 z 4) (+.f64 (*.f64 15234687407/1000000000 (pow.f64 z 3)) (*.f64 119400905721/10000000000 z))))))) (+.f64 (/.f64 (*.f64 y (*.f64 t (pow.f64 z 2))) (+.f64 607771387771/1000000000000 (+.f64 (*.f64 314690115749/10000000000 (pow.f64 z 2)) (+.f64 (pow.f64 z 4) (+.f64 (*.f64 15234687407/1000000000 (pow.f64 z 3)) (*.f64 119400905721/10000000000 z)))))) (+.f64 (/.f64 (*.f64 y b) (+.f64 607771387771/1000000000000 (+.f64 (*.f64 314690115749/10000000000 (pow.f64 z 2)) (+.f64 (pow.f64 z 4) (+.f64 (*.f64 15234687407/1000000000 (pow.f64 z 3)) (*.f64 119400905721/10000000000 z)))))) (+.f64 (*.f64 313060547623/100000000000 (/.f64 (*.f64 y (pow.f64 z 4)) (+.f64 607771387771/1000000000000 (+.f64 (*.f64 314690115749/10000000000 (pow.f64 z 2)) (+.f64 (pow.f64 z 4) (+.f64 (*.f64 15234687407/1000000000 (pow.f64 z 3)) (*.f64 119400905721/10000000000 z))))))) (+.f64 (/.f64 (*.f64 a (*.f64 y z)) (+.f64 607771387771/1000000000000 (+.f64 (*.f64 314690115749/10000000000 (pow.f64 z 2)) (+.f64 (pow.f64 z 4) (+.f64 (*.f64 15234687407/1000000000 (pow.f64 z 3)) (*.f64 119400905721/10000000000 z)))))) x)))))
24.6b
(fma.f64 y (*.f64 (fma.f64 z (fma.f64 z (fma.f64 z (fma.f64 z 313060547623/100000000000 55833770631/5000000000) t) a) b) (/.f64 1 (fma.f64 z (fma.f64 z (fma.f64 z (+.f64 z 15234687407/1000000000) 314690115749/10000000000) 119400905721/10000000000) 607771387771/1000000000000))) x)
31.8b
(+.f64 (fma.f64 313060547623/100000000000 y (fma.f64 45796100221584283915100827016327/100000000000000000000000000000 (/.f64 y (*.f64 z z)) x)) (*.f64 (/.f64 y z) (-.f64 (/.f64 t z) 3652704169880641883561/100000000000000000000)))
36.3b
(fma.f64 y (cbrt.f64 (pow.f64 (/.f64 (fma.f64 z (fma.f64 z (fma.f64 z (fma.f64 z 313060547623/100000000000 55833770631/5000000000) t) a) b) (fma.f64 z (fma.f64 z (fma.f64 z (+.f64 z 15234687407/1000000000) 314690115749/10000000000) 119400905721/10000000000) 607771387771/1000000000000)) 3)) x)
Compiler

Compiled 5676 to 3872 computations (31.8% saved)

localize21.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.1b
(fma.f64 y (*.f64 (fma.f64 z (fma.f64 z (fma.f64 z (fma.f64 z 313060547623/100000000000 55833770631/5000000000) t) a) b) (/.f64 1 (fma.f64 z (fma.f64 z (fma.f64 z (+.f64 z 15234687407/1000000000) 314690115749/10000000000) 119400905721/10000000000) 607771387771/1000000000000))) x)
0.1b
(fma.f64 z (fma.f64 z 313060547623/100000000000 55833770631/5000000000) t)
0.2b
(/.f64 1 (fma.f64 z (fma.f64 z (fma.f64 z (+.f64 z 15234687407/1000000000) 314690115749/10000000000) 119400905721/10000000000) 607771387771/1000000000000))
23.8b
(*.f64 (fma.f64 z (fma.f64 z (fma.f64 z (fma.f64 z 313060547623/100000000000 55833770631/5000000000) t) a) b) (/.f64 1 (fma.f64 z (fma.f64 z (fma.f64 z (+.f64 z 15234687407/1000000000) 314690115749/10000000000) 119400905721/10000000000) 607771387771/1000000000000)))

series1.2s (5.8%)

Counts
3 → 132
Calls

3 calls:

795.0ms
(fma.f64 y (*.f64 (fma.f64 z (fma.f64 z (fma.f64 z (fma.f64 z 313060547623/100000000000 55833770631/5000000000) t) a) b) (/.f64 1 (fma.f64 z (fma.f64 z (fma.f64 z (+.f64 z 15234687407/1000000000) 314690115749/10000000000) 119400905721/10000000000) 607771387771/1000000000000))) x)
381.0ms
(*.f64 (fma.f64 z (fma.f64 z (fma.f64 z (fma.f64 z 313060547623/100000000000 55833770631/5000000000) t) a) b) (/.f64 1 (fma.f64 z (fma.f64 z (fma.f64 z (+.f64 z 15234687407/1000000000) 314690115749/10000000000) 119400905721/10000000000) 607771387771/1000000000000)))
3.0ms
(/.f64 1 (fma.f64 z (fma.f64 z (fma.f64 z (+.f64 z 15234687407/1000000000) 314690115749/10000000000) 119400905721/10000000000) 607771387771/1000000000000))

rewrite19.0ms (0.1%)

Algorithm
rewrite-expression-head
Rules
26×add-sqr-sqrt_binary64
20×times-frac_binary64
20×*-un-lft-identity_binary64
19×add-cube-cbrt_binary64
16×add-exp-log_binary64
Counts
3 → 81
Calls

3 calls:

11.0ms
(*.f64 (fma.f64 z (fma.f64 z (fma.f64 z (fma.f64 z 313060547623/100000000000 55833770631/5000000000) t) a) b) (/.f64 1 (fma.f64 z (fma.f64 z (fma.f64 z (+.f64 z 15234687407/1000000000) 314690115749/10000000000) 119400905721/10000000000) 607771387771/1000000000000)))
2.0ms
(/.f64 1 (fma.f64 z (fma.f64 z (fma.f64 z (+.f64 z 15234687407/1000000000) 314690115749/10000000000) 119400905721/10000000000) 607771387771/1000000000000))
0.0ms
(fma.f64 y (*.f64 (fma.f64 z (fma.f64 z (fma.f64 z (fma.f64 z 313060547623/100000000000 55833770631/5000000000) t) a) b) (/.f64 1 (fma.f64 z (fma.f64 z (fma.f64 z (+.f64 z 15234687407/1000000000) 314690115749/10000000000) 119400905721/10000000000) 607771387771/1000000000000))) x)

simplify424.0ms (2.1%)

Algorithm
egg-herbie
Rules
539×cancel-sign-sub-inv_binary64
360×fma-neg_binary64
300×fma-def_binary64
266×distribute-rgt-in_binary64
248×associate-+r+_binary64
Counts
213 → 192
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
034119210
192518726
2307016353
3488516348
4504116348

prune358.0ms (1.8%)

Pruning

7 alts after pruning (4 fresh and 3 done)

PrunedKeptTotal
New2130213
Fresh044
Picked011
Done022
Total2137220
Error
0.0b
Counts
220 → 7
Alt Table
StatusErrorProgram
20.1b
(fma.f64 y (/.f64 b (+.f64 607771387771/1000000000000 (+.f64 (*.f64 (pow.f64 z 3) (+.f64 z 15234687407/1000000000)) (*.f64 z (fma.f64 z 314690115749/10000000000 119400905721/10000000000))))) x)
24.6b
(fma.f64 y (/.f64 (fma.f64 z (fma.f64 z (fma.f64 z (fma.f64 z 313060547623/100000000000 55833770631/5000000000) t) a) b) (fma.f64 z (fma.f64 z (fma.f64 z (+.f64 z 15234687407/1000000000) 314690115749/10000000000) 119400905721/10000000000) 607771387771/1000000000000)) x)
28.5b
(-.f64 (+.f64 (*.f64 1000000000000/607771387771 (*.f64 y b)) (+.f64 (*.f64 1000000000000/607771387771 (*.f64 y (*.f64 t (pow.f64 z 2)))) (+.f64 (*.f64 1000000000000/607771387771 (*.f64 y (*.f64 a z))) (+.f64 (*.f64 123439798033292669987862100000000000000/224502278183706222041215714334315011 (*.f64 y (*.f64 b (pow.f64 z 2)))) x)))) (+.f64 (*.f64 11940090572100000000000000/369386059793087248348441 (*.f64 y (*.f64 b z))) (*.f64 11940090572100000000000000/369386059793087248348441 (*.f64 a (*.f64 y (pow.f64 z 2))))))
26.1b
(+.f64 (*.f64 55833770631/5000000000 (/.f64 (*.f64 y (pow.f64 z 3)) (+.f64 607771387771/1000000000000 (+.f64 (*.f64 314690115749/10000000000 (pow.f64 z 2)) (+.f64 (pow.f64 z 4) (+.f64 (*.f64 15234687407/1000000000 (pow.f64 z 3)) (*.f64 119400905721/10000000000 z))))))) (+.f64 (/.f64 (*.f64 y (*.f64 t (pow.f64 z 2))) (+.f64 607771387771/1000000000000 (+.f64 (*.f64 314690115749/10000000000 (pow.f64 z 2)) (+.f64 (pow.f64 z 4) (+.f64 (*.f64 15234687407/1000000000 (pow.f64 z 3)) (*.f64 119400905721/10000000000 z)))))) (+.f64 (/.f64 (*.f64 y b) (+.f64 607771387771/1000000000000 (+.f64 (*.f64 314690115749/10000000000 (pow.f64 z 2)) (+.f64 (pow.f64 z 4) (+.f64 (*.f64 15234687407/1000000000 (pow.f64 z 3)) (*.f64 119400905721/10000000000 z)))))) (+.f64 (*.f64 313060547623/100000000000 (/.f64 (*.f64 y (pow.f64 z 4)) (+.f64 607771387771/1000000000000 (+.f64 (*.f64 314690115749/10000000000 (pow.f64 z 2)) (+.f64 (pow.f64 z 4) (+.f64 (*.f64 15234687407/1000000000 (pow.f64 z 3)) (*.f64 119400905721/10000000000 z))))))) (+.f64 (/.f64 (*.f64 a (*.f64 y z)) (+.f64 607771387771/1000000000000 (+.f64 (*.f64 314690115749/10000000000 (pow.f64 z 2)) (+.f64 (pow.f64 z 4) (+.f64 (*.f64 15234687407/1000000000 (pow.f64 z 3)) (*.f64 119400905721/10000000000 z)))))) x)))))
24.6b
(fma.f64 y (*.f64 (fma.f64 z (fma.f64 z (fma.f64 z (fma.f64 z 313060547623/100000000000 55833770631/5000000000) t) a) b) (/.f64 1 (fma.f64 z (fma.f64 z (fma.f64 z (+.f64 z 15234687407/1000000000) 314690115749/10000000000) 119400905721/10000000000) 607771387771/1000000000000))) x)
31.8b
(+.f64 (fma.f64 313060547623/100000000000 y (fma.f64 45796100221584283915100827016327/100000000000000000000000000000 (/.f64 y (*.f64 z z)) x)) (*.f64 (/.f64 y z) (-.f64 (/.f64 t z) 3652704169880641883561/100000000000000000000)))
36.3b
(fma.f64 y (cbrt.f64 (pow.f64 (/.f64 (fma.f64 z (fma.f64 z (fma.f64 z (fma.f64 z 313060547623/100000000000 55833770631/5000000000) t) a) b) (fma.f64 z (fma.f64 z (fma.f64 z (+.f64 z 15234687407/1000000000) 314690115749/10000000000) 119400905721/10000000000) 607771387771/1000000000000)) 3)) x)
Compiler

Compiled 10537 to 6874 computations (34.8% saved)

localize41.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
9.2b
(/.f64 (*.f64 a (*.f64 y z)) (+.f64 607771387771/1000000000000 (+.f64 (*.f64 314690115749/10000000000 (pow.f64 z 2)) (+.f64 (pow.f64 z 4) (+.f64 (*.f64 15234687407/1000000000 (pow.f64 z 3)) (*.f64 119400905721/10000000000 z))))))
16.2b
(/.f64 (*.f64 y (*.f64 t (pow.f64 z 2))) (+.f64 607771387771/1000000000000 (+.f64 (*.f64 314690115749/10000000000 (pow.f64 z 2)) (+.f64 (pow.f64 z 4) (+.f64 (*.f64 15234687407/1000000000 (pow.f64 z 3)) (*.f64 119400905721/10000000000 z))))))
21.8b
(/.f64 (*.f64 y (pow.f64 z 3)) (+.f64 607771387771/1000000000000 (+.f64 (*.f64 314690115749/10000000000 (pow.f64 z 2)) (+.f64 (pow.f64 z 4) (+.f64 (*.f64 15234687407/1000000000 (pow.f64 z 3)) (*.f64 119400905721/10000000000 z))))))
23.9b
(/.f64 (*.f64 y (pow.f64 z 4)) (+.f64 607771387771/1000000000000 (+.f64 (*.f64 314690115749/10000000000 (pow.f64 z 2)) (+.f64 (pow.f64 z 4) (+.f64 (*.f64 15234687407/1000000000 (pow.f64 z 3)) (*.f64 119400905721/10000000000 z))))))

series916.0ms (4.5%)

Counts
4 → 100
Calls

4 calls:

317.0ms
(/.f64 (*.f64 y (*.f64 t (pow.f64 z 2))) (+.f64 607771387771/1000000000000 (+.f64 (*.f64 314690115749/10000000000 (pow.f64 z 2)) (+.f64 (pow.f64 z 4) (+.f64 (*.f64 15234687407/1000000000 (pow.f64 z 3)) (*.f64 119400905721/10000000000 z))))))
295.0ms
(/.f64 (*.f64 a (*.f64 y z)) (+.f64 607771387771/1000000000000 (+.f64 (*.f64 314690115749/10000000000 (pow.f64 z 2)) (+.f64 (pow.f64 z 4) (+.f64 (*.f64 15234687407/1000000000 (pow.f64 z 3)) (*.f64 119400905721/10000000000 z))))))
155.0ms
(/.f64 (*.f64 y (pow.f64 z 4)) (+.f64 607771387771/1000000000000 (+.f64 (*.f64 314690115749/10000000000 (pow.f64 z 2)) (+.f64 (pow.f64 z 4) (+.f64 (*.f64 15234687407/1000000000 (pow.f64 z 3)) (*.f64 119400905721/10000000000 z))))))
149.0ms
(/.f64 (*.f64 y (pow.f64 z 3)) (+.f64 607771387771/1000000000000 (+.f64 (*.f64 314690115749/10000000000 (pow.f64 z 2)) (+.f64 (pow.f64 z 4) (+.f64 (*.f64 15234687407/1000000000 (pow.f64 z 3)) (*.f64 119400905721/10000000000 z))))))

rewrite65.0ms (0.3%)

Algorithm
rewrite-expression-head
Rules
49×add-exp-log_binary64
32×add-cbrt-cube_binary64
28×*-un-lft-identity_binary64
16×associate-/r*_binary64
16×times-frac_binary64
Counts
4 → 118
Calls

4 calls:

16.0ms
(/.f64 (*.f64 a (*.f64 y z)) (+.f64 607771387771/1000000000000 (+.f64 (*.f64 314690115749/10000000000 (pow.f64 z 2)) (+.f64 (pow.f64 z 4) (+.f64 (*.f64 15234687407/1000000000 (pow.f64 z 3)) (*.f64 119400905721/10000000000 z))))))
14.0ms
(/.f64 (*.f64 y (*.f64 t (pow.f64 z 2))) (+.f64 607771387771/1000000000000 (+.f64 (*.f64 314690115749/10000000000 (pow.f64 z 2)) (+.f64 (pow.f64 z 4) (+.f64 (*.f64 15234687407/1000000000 (pow.f64 z 3)) (*.f64 119400905721/10000000000 z))))))
14.0ms
(/.f64 (*.f64 y (pow.f64 z 4)) (+.f64 607771387771/1000000000000 (+.f64 (*.f64 314690115749/10000000000 (pow.f64 z 2)) (+.f64 (pow.f64 z 4) (+.f64 (*.f64 15234687407/1000000000 (pow.f64 z 3)) (*.f64 119400905721/10000000000 z))))))
12.0ms
(/.f64 (*.f64 y (pow.f64 z 3)) (+.f64 607771387771/1000000000000 (+.f64 (*.f64 314690115749/10000000000 (pow.f64 z 2)) (+.f64 (pow.f64 z 4) (+.f64 (*.f64 15234687407/1000000000 (pow.f64 z 3)) (*.f64 119400905721/10000000000 z))))))

simplify193.0ms (0.9%)

Algorithm
egg-herbie
Rules
371×associate-*r*_binary64
366×fma-neg_binary64
332×associate-/l*_binary64
308×associate-*l*_binary64
251×times-frac_binary64
Counts
218 → 256
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
03799344
110618260
243978252
349658252

prune1.0s (4.9%)

Pruning

7 alts after pruning (3 fresh and 4 done)

PrunedKeptTotal
New2560256
Fresh033
Picked011
Done033
Total2567263
Error
0.0b
Counts
263 → 7
Alt Table
StatusErrorProgram
20.1b
(fma.f64 y (/.f64 b (+.f64 607771387771/1000000000000 (+.f64 (*.f64 (pow.f64 z 3) (+.f64 z 15234687407/1000000000)) (*.f64 z (fma.f64 z 314690115749/10000000000 119400905721/10000000000))))) x)
24.6b
(fma.f64 y (/.f64 (fma.f64 z (fma.f64 z (fma.f64 z (fma.f64 z 313060547623/100000000000 55833770631/5000000000) t) a) b) (fma.f64 z (fma.f64 z (fma.f64 z (+.f64 z 15234687407/1000000000) 314690115749/10000000000) 119400905721/10000000000) 607771387771/1000000000000)) x)
28.5b
(-.f64 (+.f64 (*.f64 1000000000000/607771387771 (*.f64 y b)) (+.f64 (*.f64 1000000000000/607771387771 (*.f64 y (*.f64 t (pow.f64 z 2)))) (+.f64 (*.f64 1000000000000/607771387771 (*.f64 y (*.f64 a z))) (+.f64 (*.f64 123439798033292669987862100000000000000/224502278183706222041215714334315011 (*.f64 y (*.f64 b (pow.f64 z 2)))) x)))) (+.f64 (*.f64 11940090572100000000000000/369386059793087248348441 (*.f64 y (*.f64 b z))) (*.f64 11940090572100000000000000/369386059793087248348441 (*.f64 a (*.f64 y (pow.f64 z 2))))))
26.1b
(+.f64 (*.f64 55833770631/5000000000 (/.f64 (*.f64 y (pow.f64 z 3)) (+.f64 607771387771/1000000000000 (+.f64 (*.f64 314690115749/10000000000 (pow.f64 z 2)) (+.f64 (pow.f64 z 4) (+.f64 (*.f64 15234687407/1000000000 (pow.f64 z 3)) (*.f64 119400905721/10000000000 z))))))) (+.f64 (/.f64 (*.f64 y (*.f64 t (pow.f64 z 2))) (+.f64 607771387771/1000000000000 (+.f64 (*.f64 314690115749/10000000000 (pow.f64 z 2)) (+.f64 (pow.f64 z 4) (+.f64 (*.f64 15234687407/1000000000 (pow.f64 z 3)) (*.f64 119400905721/10000000000 z)))))) (+.f64 (/.f64 (*.f64 y b) (+.f64 607771387771/1000000000000 (+.f64 (*.f64 314690115749/10000000000 (pow.f64 z 2)) (+.f64 (pow.f64 z 4) (+.f64 (*.f64 15234687407/1000000000 (pow.f64 z 3)) (*.f64 119400905721/10000000000 z)))))) (+.f64 (*.f64 313060547623/100000000000 (/.f64 (*.f64 y (pow.f64 z 4)) (+.f64 607771387771/1000000000000 (+.f64 (*.f64 314690115749/10000000000 (pow.f64 z 2)) (+.f64 (pow.f64 z 4) (+.f64 (*.f64 15234687407/1000000000 (pow.f64 z 3)) (*.f64 119400905721/10000000000 z))))))) (+.f64 (/.f64 (*.f64 a (*.f64 y z)) (+.f64 607771387771/1000000000000 (+.f64 (*.f64 314690115749/10000000000 (pow.f64 z 2)) (+.f64 (pow.f64 z 4) (+.f64 (*.f64 15234687407/1000000000 (pow.f64 z 3)) (*.f64 119400905721/10000000000 z)))))) x)))))
24.6b
(fma.f64 y (*.f64 (fma.f64 z (fma.f64 z (fma.f64 z (fma.f64 z 313060547623/100000000000 55833770631/5000000000) t) a) b) (/.f64 1 (fma.f64 z (fma.f64 z (fma.f64 z (+.f64 z 15234687407/1000000000) 314690115749/10000000000) 119400905721/10000000000) 607771387771/1000000000000))) x)
31.8b
(+.f64 (fma.f64 313060547623/100000000000 y (fma.f64 45796100221584283915100827016327/100000000000000000000000000000 (/.f64 y (*.f64 z z)) x)) (*.f64 (/.f64 y z) (-.f64 (/.f64 t z) 3652704169880641883561/100000000000000000000)))
36.3b
(fma.f64 y (cbrt.f64 (pow.f64 (/.f64 (fma.f64 z (fma.f64 z (fma.f64 z (fma.f64 z 313060547623/100000000000 55833770631/5000000000) t) a) b) (fma.f64 z (fma.f64 z (fma.f64 z (+.f64 z 15234687407/1000000000) 314690115749/10000000000) 119400905721/10000000000) 607771387771/1000000000000)) 3)) x)
Compiler

Compiled 40734 to 30278 computations (25.7% saved)

regimes8.3s (40.7%)

Accuracy

Total 0.7b remaining (63.2%)

Threshold costs 0.7b (63.2%)

Counts
201 → 3
Compiler

Compiled 90968 to 66788 computations (26.6% saved)

bsearch68.0ms (0.3%)

Steps
ItersRangePoint
4
4.224661678141453e+41
6.112900632321964e+41
5.935878230367541e+41
8
-3.0465349387853123e+44
-1.1768353845124088e+41
-1.3893820671621353e+41
Compiler

Compiled 7 to 6 computations (14.3% saved)

simplify4.0ms (0%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
043114
152114
253114
351114

end244.0ms (1.2%)

Compiler

Compiled 548 to 368 computations (32.8% saved)

Profiling

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