Details

Time bar (total: 24.6s)

analyze1.1s (4.6%)

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
49.9%49.9%0.3%4
49.9%49.9%0.3%5
49.9%49.9%0.3%6
49.9%49.9%0.3%7
49.9%49.9%0.3%8
49.9%49.9%0.3%9
49.9%49.9%0.3%10
49.9%49.9%0.3%11
49.9%49.9%0.3%12
49.9%49.9%0.3%13
49.9%49.9%0.3%14
Compiler

Compiled 44 to 31 computations (29.5% saved)

sample1.8s (7.3%)

Infinites
9.6% of outputs are infinite.
Results
1.6s8256×body128valid
Compiler

Compiled 131 to 92 computations (29.8% saved)

simplify80.0ms (0.3%)

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
25.6b
Counts
3 → 2
Alt Table
StatusErrorProgram
27.7b
(+.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)))
25.6b
(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)
Compiler

Compiled 228 to 150 computations (34.2% saved)

localize22.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.1b
(fma.f64 z 313060547623/100000000000 55833770631/5000000000)
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)
25.1b
(/.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))

series1.5s (5.9%)

Counts
4 → 156
Calls

4 calls:

969.0ms
(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)
476.0ms
(/.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)
2.0ms
(fma.f64 z 313060547623/100000000000 55833770631/5000000000)

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 z (fma.f64 z 313060547623/100000000000 55833770631/5000000000) t)
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 313060547623/100000000000 55833770631/5000000000)

simplify377.0ms (1.5%)

Algorithm
egg-herbie
Rules
467×cancel-sign-sub-inv_binary64
302×fma-neg_binary64
298×fma-def_binary64
250×associate-+r+_binary64
234×distribute-rgt-in_binary64
Counts
215 → 148
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
032718542
184518113
2280415739
3470715739
4498115739

prune333.0ms (1.4%)

Pruning

8 alts after pruning (8 fresh and 0 done)

PrunedKeptTotal
New1408148
Fresh101
Picked101
Done000
Total1428150
Error
0.0b
Counts
150 → 8
Alt Table
StatusErrorProgram
25.9b
(fma.f64 y (*.f64 (*.f64 (cbrt.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))) (cbrt.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)))) (cbrt.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)))) x)
28.7b
(-.f64 (+.f64 (+.f64 (*.f64 (/.f64 y (*.f64 z z)) (+.f64 45796100221584283915100827016327/100000000000000000000000000000 (/.f64 a z))) (fma.f64 313060547623/100000000000 y x)) (*.f64 (/.f64 y z) (-.f64 (/.f64 t z) (/.f64 586480252826990429730394679450703430294089/100000000000000000000000000000000000000 (*.f64 z z))))) (fma.f64 3652704169880641883561/100000000000000000000 (/.f64 y z) (*.f64 15234687407/1000000000 (*.f64 (/.f64 y (pow.f64 z 3)) t))))
28.4b
(fma.f64 y (-.f64 (+.f64 313060547623/100000000000 (+.f64 (/.f64 t (*.f64 z z)) (+.f64 (/.f64 45796100221584283915100827016327/100000000000000000000000000000 (*.f64 z z)) (/.f64 a (pow.f64 z 3))))) (fma.f64 15234687407/1000000000 (/.f64 t (pow.f64 z 3)) (+.f64 (/.f64 3652704169880641883561/100000000000000000000 z) (/.f64 586480252826990429730394679450703430294089/100000000000000000000000000000000000000 (pow.f64 z 3))))) x)
25.6b
(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 (+.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))))))
27.6b
(+.f64 (+.f64 (fma.f64 313060547623/100000000000 (/.f64 (*.f64 (pow.f64 z 4) y) (+.f64 607771387771/1000000000000 (+.f64 (*.f64 (pow.f64 z 3) (+.f64 z 15234687407/1000000000)) (*.f64 z (+.f64 119400905721/10000000000 (*.f64 314690115749/10000000000 z)))))) x) (*.f64 (/.f64 y (+.f64 607771387771/1000000000000 (+.f64 (*.f64 (pow.f64 z 3) (+.f64 z 15234687407/1000000000)) (*.f64 z (+.f64 119400905721/10000000000 (*.f64 314690115749/10000000000 z)))))) (fma.f64 a z b))) (fma.f64 55833770631/5000000000 (/.f64 (*.f64 (pow.f64 z 3) y) (+.f64 607771387771/1000000000000 (+.f64 (*.f64 (pow.f64 z 3) (+.f64 z 15234687407/1000000000)) (*.f64 z (+.f64 119400905721/10000000000 (*.f64 314690115749/10000000000 z)))))) (/.f64 (*.f64 (*.f64 t (*.f64 z z)) y) (+.f64 607771387771/1000000000000 (+.f64 (*.f64 (pow.f64 z 3) (+.f64 z 15234687407/1000000000)) (*.f64 z (+.f64 119400905721/10000000000 (*.f64 314690115749/10000000000 z))))))))
45.0b
(cbrt.f64 (*.f64 (*.f64 (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) (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)) (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)))
28.6b
(+.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)))))
Compiler

Compiled 8259 to 5373 computations (34.9% saved)

localize23.0ms (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))
25.0b
(*.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)))

series1.5s (6.2%)

Counts
3 → 132
Calls

3 calls:

980.0ms
(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)
533.0ms
(*.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))

rewrite14.0ms (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:

5.0ms
(*.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)

simplify433.0ms (1.8%)

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

prune413.0ms (1.7%)

Pruning

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New2121213
Fresh167
Picked011
Done000
Total2138221
Error
0.0b
Counts
221 → 8
Alt Table
StatusErrorProgram
27.6b
(+.f64 (+.f64 (fma.f64 313060547623/100000000000 (/.f64 (*.f64 (pow.f64 z 4) y) (+.f64 607771387771/1000000000000 (+.f64 (*.f64 (pow.f64 z 3) (+.f64 z 15234687407/1000000000)) (*.f64 z (+.f64 119400905721/10000000000 (*.f64 314690115749/10000000000 z)))))) x) (*.f64 (/.f64 y (+.f64 607771387771/1000000000000 (+.f64 (*.f64 (pow.f64 z 3) (+.f64 z 15234687407/1000000000)) (*.f64 z (+.f64 119400905721/10000000000 (*.f64 314690115749/10000000000 z)))))) (fma.f64 a z b))) (fma.f64 55833770631/5000000000 (/.f64 (*.f64 (pow.f64 z 3) y) (+.f64 607771387771/1000000000000 (+.f64 (*.f64 (pow.f64 z 3) (+.f64 z 15234687407/1000000000)) (*.f64 z (+.f64 119400905721/10000000000 (*.f64 314690115749/10000000000 z)))))) (/.f64 (*.f64 (*.f64 t (*.f64 z z)) y) (+.f64 607771387771/1000000000000 (+.f64 (*.f64 (pow.f64 z 3) (+.f64 z 15234687407/1000000000)) (*.f64 z (+.f64 119400905721/10000000000 (*.f64 314690115749/10000000000 z))))))))
25.7b
(fma.f64 y (*.f64 (*.f64 (fma.f64 z (fma.f64 z (fma.f64 z (fma.f64 z 313060547623/100000000000 55833770631/5000000000) t) a) b) (*.f64 (cbrt.f64 (/.f64 1 (fma.f64 z (fma.f64 z (fma.f64 z (+.f64 z 15234687407/1000000000) 314690115749/10000000000) 119400905721/10000000000) 607771387771/1000000000000))) (cbrt.f64 (/.f64 1 (fma.f64 z (fma.f64 z (fma.f64 z (+.f64 z 15234687407/1000000000) 314690115749/10000000000) 119400905721/10000000000) 607771387771/1000000000000))))) (cbrt.f64 (/.f64 1 (fma.f64 z (fma.f64 z (fma.f64 z (+.f64 z 15234687407/1000000000) 314690115749/10000000000) 119400905721/10000000000) 607771387771/1000000000000)))) x)
28.7b
(-.f64 (+.f64 (+.f64 (*.f64 (/.f64 y (*.f64 z z)) (+.f64 45796100221584283915100827016327/100000000000000000000000000000 (/.f64 a z))) (fma.f64 313060547623/100000000000 y x)) (*.f64 (/.f64 y z) (-.f64 (/.f64 t z) (/.f64 586480252826990429730394679450703430294089/100000000000000000000000000000000000000 (*.f64 z z))))) (fma.f64 3652704169880641883561/100000000000000000000 (/.f64 y z) (*.f64 15234687407/1000000000 (*.f64 (/.f64 y (pow.f64 z 3)) t))))
28.4b
(fma.f64 y (-.f64 (+.f64 313060547623/100000000000 (+.f64 (/.f64 t (*.f64 z z)) (+.f64 (/.f64 45796100221584283915100827016327/100000000000000000000000000000 (*.f64 z z)) (/.f64 a (pow.f64 z 3))))) (fma.f64 15234687407/1000000000 (/.f64 t (pow.f64 z 3)) (+.f64 (/.f64 3652704169880641883561/100000000000000000000 z) (/.f64 586480252826990429730394679450703430294089/100000000000000000000000000000000000000 (pow.f64 z 3))))) x)
25.6b
(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 (+.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))))))
45.0b
(cbrt.f64 (*.f64 (*.f64 (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) (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)) (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)))
28.6b
(+.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)))))
Compiler

Compiled 11085 to 7240 computations (34.7% saved)

localize27.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.2b
(/.f64 1 (fma.f64 z (fma.f64 z (fma.f64 z (+.f64 z 15234687407/1000000000) 314690115749/10000000000) 119400905721/10000000000) 607771387771/1000000000000))
8.3b
(*.f64 (*.f64 (fma.f64 z (fma.f64 z (fma.f64 z (fma.f64 z 313060547623/100000000000 55833770631/5000000000) t) a) b) (*.f64 (cbrt.f64 (/.f64 1 (fma.f64 z (fma.f64 z (fma.f64 z (+.f64 z 15234687407/1000000000) 314690115749/10000000000) 119400905721/10000000000) 607771387771/1000000000000))) (cbrt.f64 (/.f64 1 (fma.f64 z (fma.f64 z (fma.f64 z (+.f64 z 15234687407/1000000000) 314690115749/10000000000) 119400905721/10000000000) 607771387771/1000000000000))))) (cbrt.f64 (/.f64 1 (fma.f64 z (fma.f64 z (fma.f64 z (+.f64 z 15234687407/1000000000) 314690115749/10000000000) 119400905721/10000000000) 607771387771/1000000000000))))
15.6b
(cbrt.f64 (/.f64 1 (fma.f64 z (fma.f64 z (fma.f64 z (+.f64 z 15234687407/1000000000) 314690115749/10000000000) 119400905721/10000000000) 607771387771/1000000000000)))
23.1b
(*.f64 (fma.f64 z (fma.f64 z (fma.f64 z (fma.f64 z 313060547623/100000000000 55833770631/5000000000) t) a) b) (*.f64 (cbrt.f64 (/.f64 1 (fma.f64 z (fma.f64 z (fma.f64 z (+.f64 z 15234687407/1000000000) 314690115749/10000000000) 119400905721/10000000000) 607771387771/1000000000000))) (cbrt.f64 (/.f64 1 (fma.f64 z (fma.f64 z (fma.f64 z (+.f64 z 15234687407/1000000000) 314690115749/10000000000) 119400905721/10000000000) 607771387771/1000000000000)))))

series2.4s (9.6%)

Counts
3 → 108
Calls

3 calls:

1.9s
(*.f64 (fma.f64 z (fma.f64 z (fma.f64 z (fma.f64 z 313060547623/100000000000 55833770631/5000000000) t) a) b) (*.f64 (cbrt.f64 (/.f64 1 (fma.f64 z (fma.f64 z (fma.f64 z (+.f64 z 15234687407/1000000000) 314690115749/10000000000) 119400905721/10000000000) 607771387771/1000000000000))) (cbrt.f64 (/.f64 1 (fma.f64 z (fma.f64 z (fma.f64 z (+.f64 z 15234687407/1000000000) 314690115749/10000000000) 119400905721/10000000000) 607771387771/1000000000000)))))
471.0ms
(*.f64 (*.f64 (fma.f64 z (fma.f64 z (fma.f64 z (fma.f64 z 313060547623/100000000000 55833770631/5000000000) t) a) b) (*.f64 (cbrt.f64 (/.f64 1 (fma.f64 z (fma.f64 z (fma.f64 z (+.f64 z 15234687407/1000000000) 314690115749/10000000000) 119400905721/10000000000) 607771387771/1000000000000))) (cbrt.f64 (/.f64 1 (fma.f64 z (fma.f64 z (fma.f64 z (+.f64 z 15234687407/1000000000) 314690115749/10000000000) 119400905721/10000000000) 607771387771/1000000000000))))) (cbrt.f64 (/.f64 1 (fma.f64 z (fma.f64 z (fma.f64 z (+.f64 z 15234687407/1000000000) 314690115749/10000000000) 119400905721/10000000000) 607771387771/1000000000000))))
7.0ms
(cbrt.f64 (/.f64 1 (fma.f64 z (fma.f64 z (fma.f64 z (+.f64 z 15234687407/1000000000) 314690115749/10000000000) 119400905721/10000000000) 607771387771/1000000000000)))

rewrite35.0ms (0.1%)

Algorithm
rewrite-expression-head
Rules
26×cbrt-prod_binary64
20×add-sqr-sqrt_binary64
19×*-un-lft-identity_binary64
19×add-cube-cbrt_binary64
18×times-frac_binary64
Counts
3 → 91
Calls

3 calls:

13.0ms
(*.f64 (*.f64 (fma.f64 z (fma.f64 z (fma.f64 z (fma.f64 z 313060547623/100000000000 55833770631/5000000000) t) a) b) (*.f64 (cbrt.f64 (/.f64 1 (fma.f64 z (fma.f64 z (fma.f64 z (+.f64 z 15234687407/1000000000) 314690115749/10000000000) 119400905721/10000000000) 607771387771/1000000000000))) (cbrt.f64 (/.f64 1 (fma.f64 z (fma.f64 z (fma.f64 z (+.f64 z 15234687407/1000000000) 314690115749/10000000000) 119400905721/10000000000) 607771387771/1000000000000))))) (cbrt.f64 (/.f64 1 (fma.f64 z (fma.f64 z (fma.f64 z (+.f64 z 15234687407/1000000000) 314690115749/10000000000) 119400905721/10000000000) 607771387771/1000000000000))))
7.0ms
(*.f64 (fma.f64 z (fma.f64 z (fma.f64 z (fma.f64 z 313060547623/100000000000 55833770631/5000000000) t) a) b) (*.f64 (cbrt.f64 (/.f64 1 (fma.f64 z (fma.f64 z (fma.f64 z (+.f64 z 15234687407/1000000000) 314690115749/10000000000) 119400905721/10000000000) 607771387771/1000000000000))) (cbrt.f64 (/.f64 1 (fma.f64 z (fma.f64 z (fma.f64 z (+.f64 z 15234687407/1000000000) 314690115749/10000000000) 119400905721/10000000000) 607771387771/1000000000000)))))
2.0ms
(cbrt.f64 (/.f64 1 (fma.f64 z (fma.f64 z (fma.f64 z (+.f64 z 15234687407/1000000000) 314690115749/10000000000) 119400905721/10000000000) 607771387771/1000000000000)))

simplify344.0ms (1.4%)

Algorithm
egg-herbie
Rules
643×cancel-sign-sub-inv_binary64
343×associate-*r*_binary64
328×associate-*l*_binary64
323×fma-def_binary64
231×times-frac_binary64
Counts
199 → 187
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
034416793
196015948
2342015916
3505915916

prune1.7s (7%)

Pruning

8 alts after pruning (6 fresh and 2 done)

PrunedKeptTotal
New4190419
Fresh066
Picked011
Done011
Total4198427
Error
0.0b
Counts
427 → 8
Alt Table
StatusErrorProgram
27.6b
(+.f64 (+.f64 (fma.f64 313060547623/100000000000 (/.f64 (*.f64 (pow.f64 z 4) y) (+.f64 607771387771/1000000000000 (+.f64 (*.f64 (pow.f64 z 3) (+.f64 z 15234687407/1000000000)) (*.f64 z (+.f64 119400905721/10000000000 (*.f64 314690115749/10000000000 z)))))) x) (*.f64 (/.f64 y (+.f64 607771387771/1000000000000 (+.f64 (*.f64 (pow.f64 z 3) (+.f64 z 15234687407/1000000000)) (*.f64 z (+.f64 119400905721/10000000000 (*.f64 314690115749/10000000000 z)))))) (fma.f64 a z b))) (fma.f64 55833770631/5000000000 (/.f64 (*.f64 (pow.f64 z 3) y) (+.f64 607771387771/1000000000000 (+.f64 (*.f64 (pow.f64 z 3) (+.f64 z 15234687407/1000000000)) (*.f64 z (+.f64 119400905721/10000000000 (*.f64 314690115749/10000000000 z)))))) (/.f64 (*.f64 (*.f64 t (*.f64 z z)) y) (+.f64 607771387771/1000000000000 (+.f64 (*.f64 (pow.f64 z 3) (+.f64 z 15234687407/1000000000)) (*.f64 z (+.f64 119400905721/10000000000 (*.f64 314690115749/10000000000 z))))))))
25.7b
(fma.f64 y (*.f64 (*.f64 (fma.f64 z (fma.f64 z (fma.f64 z (fma.f64 z 313060547623/100000000000 55833770631/5000000000) t) a) b) (*.f64 (cbrt.f64 (/.f64 1 (fma.f64 z (fma.f64 z (fma.f64 z (+.f64 z 15234687407/1000000000) 314690115749/10000000000) 119400905721/10000000000) 607771387771/1000000000000))) (cbrt.f64 (/.f64 1 (fma.f64 z (fma.f64 z (fma.f64 z (+.f64 z 15234687407/1000000000) 314690115749/10000000000) 119400905721/10000000000) 607771387771/1000000000000))))) (cbrt.f64 (/.f64 1 (fma.f64 z (fma.f64 z (fma.f64 z (+.f64 z 15234687407/1000000000) 314690115749/10000000000) 119400905721/10000000000) 607771387771/1000000000000)))) x)
28.7b
(-.f64 (+.f64 (+.f64 (*.f64 (/.f64 y (*.f64 z z)) (+.f64 45796100221584283915100827016327/100000000000000000000000000000 (/.f64 a z))) (fma.f64 313060547623/100000000000 y x)) (*.f64 (/.f64 y z) (-.f64 (/.f64 t z) (/.f64 586480252826990429730394679450703430294089/100000000000000000000000000000000000000 (*.f64 z z))))) (fma.f64 3652704169880641883561/100000000000000000000 (/.f64 y z) (*.f64 15234687407/1000000000 (*.f64 (/.f64 y (pow.f64 z 3)) t))))
28.4b
(fma.f64 y (-.f64 (+.f64 313060547623/100000000000 (+.f64 (/.f64 t (*.f64 z z)) (+.f64 (/.f64 45796100221584283915100827016327/100000000000000000000000000000 (*.f64 z z)) (/.f64 a (pow.f64 z 3))))) (fma.f64 15234687407/1000000000 (/.f64 t (pow.f64 z 3)) (+.f64 (/.f64 3652704169880641883561/100000000000000000000 z) (/.f64 586480252826990429730394679450703430294089/100000000000000000000000000000000000000 (pow.f64 z 3))))) x)
25.6b
(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 (+.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))))))
45.0b
(cbrt.f64 (*.f64 (*.f64 (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) (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)) (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)))
28.6b
(+.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)))))
Compiler

Compiled 30550 to 21141 computations (30.8% saved)

localize40.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
12.6b
(*.f64 (/.f64 y (+.f64 607771387771/1000000000000 (+.f64 (*.f64 (pow.f64 z 3) (+.f64 z 15234687407/1000000000)) (*.f64 z (+.f64 119400905721/10000000000 (*.f64 314690115749/10000000000 z)))))) (fma.f64 a z b))
15.9b
(/.f64 (*.f64 (*.f64 t (*.f64 z z)) y) (+.f64 607771387771/1000000000000 (+.f64 (*.f64 (pow.f64 z 3) (+.f64 z 15234687407/1000000000)) (*.f64 z (+.f64 119400905721/10000000000 (*.f64 314690115749/10000000000 z))))))
22.1b
(/.f64 (*.f64 (pow.f64 z 3) y) (+.f64 607771387771/1000000000000 (+.f64 (*.f64 (pow.f64 z 3) (+.f64 z 15234687407/1000000000)) (*.f64 z (+.f64 119400905721/10000000000 (*.f64 314690115749/10000000000 z))))))
26.5b
(/.f64 (*.f64 (pow.f64 z 4) y) (+.f64 607771387771/1000000000000 (+.f64 (*.f64 (pow.f64 z 3) (+.f64 z 15234687407/1000000000)) (*.f64 z (+.f64 119400905721/10000000000 (*.f64 314690115749/10000000000 z))))))

series1.1s (4.6%)

Counts
4 → 132
Calls

4 calls:

399.0ms
(*.f64 (/.f64 y (+.f64 607771387771/1000000000000 (+.f64 (*.f64 (pow.f64 z 3) (+.f64 z 15234687407/1000000000)) (*.f64 z (+.f64 119400905721/10000000000 (*.f64 314690115749/10000000000 z)))))) (fma.f64 a z b))
367.0ms
(/.f64 (*.f64 (*.f64 t (*.f64 z z)) y) (+.f64 607771387771/1000000000000 (+.f64 (*.f64 (pow.f64 z 3) (+.f64 z 15234687407/1000000000)) (*.f64 z (+.f64 119400905721/10000000000 (*.f64 314690115749/10000000000 z))))))
189.0ms
(/.f64 (*.f64 (pow.f64 z 4) y) (+.f64 607771387771/1000000000000 (+.f64 (*.f64 (pow.f64 z 3) (+.f64 z 15234687407/1000000000)) (*.f64 z (+.f64 119400905721/10000000000 (*.f64 314690115749/10000000000 z))))))
184.0ms
(/.f64 (*.f64 (pow.f64 z 3) y) (+.f64 607771387771/1000000000000 (+.f64 (*.f64 (pow.f64 z 3) (+.f64 z 15234687407/1000000000)) (*.f64 z (+.f64 119400905721/10000000000 (*.f64 314690115749/10000000000 z))))))

rewrite55.0ms (0.2%)

Algorithm
rewrite-expression-head
Rules
43×add-exp-log_binary64
37×*-un-lft-identity_binary64
33×add-cbrt-cube_binary64
25×times-frac_binary64
24×add-sqr-sqrt_binary64
Counts
4 → 130
Calls

4 calls:

13.0ms
(/.f64 (*.f64 (*.f64 t (*.f64 z z)) y) (+.f64 607771387771/1000000000000 (+.f64 (*.f64 (pow.f64 z 3) (+.f64 z 15234687407/1000000000)) (*.f64 z (+.f64 119400905721/10000000000 (*.f64 314690115749/10000000000 z))))))
11.0ms
(*.f64 (/.f64 y (+.f64 607771387771/1000000000000 (+.f64 (*.f64 (pow.f64 z 3) (+.f64 z 15234687407/1000000000)) (*.f64 z (+.f64 119400905721/10000000000 (*.f64 314690115749/10000000000 z)))))) (fma.f64 a z b))
10.0ms
(/.f64 (*.f64 (pow.f64 z 3) y) (+.f64 607771387771/1000000000000 (+.f64 (*.f64 (pow.f64 z 3) (+.f64 z 15234687407/1000000000)) (*.f64 z (+.f64 119400905721/10000000000 (*.f64 314690115749/10000000000 z))))))
9.0ms
(/.f64 (*.f64 (pow.f64 z 4) y) (+.f64 607771387771/1000000000000 (+.f64 (*.f64 (pow.f64 z 3) (+.f64 z 15234687407/1000000000)) (*.f64 z (+.f64 119400905721/10000000000 (*.f64 314690115749/10000000000 z))))))

simplify212.0ms (0.9%)

Algorithm
egg-herbie
Rules
400×associate-/l*_binary64
398×associate-*r*_binary64
390×associate-*l*_binary64
266×fma-def_binary64
244×times-frac_binary64
Counts
262 → 286
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
044411057
112229556
247459548
349659548

prune959.0ms (3.9%)

Pruning

8 alts after pruning (5 fresh and 3 done)

PrunedKeptTotal
New2851286
Fresh145
Picked011
Done022
Total2868294
Error
0.0b
Counts
294 → 8
Alt Table
StatusErrorProgram
27.6b
(+.f64 (+.f64 (fma.f64 313060547623/100000000000 (/.f64 (*.f64 (pow.f64 z 4) y) (+.f64 607771387771/1000000000000 (+.f64 (*.f64 (pow.f64 z 3) (+.f64 z 15234687407/1000000000)) (*.f64 z (+.f64 119400905721/10000000000 (*.f64 314690115749/10000000000 z)))))) x) (*.f64 (/.f64 y (+.f64 607771387771/1000000000000 (+.f64 (*.f64 (pow.f64 z 3) (+.f64 z 15234687407/1000000000)) (*.f64 z (+.f64 119400905721/10000000000 (*.f64 314690115749/10000000000 z)))))) (fma.f64 a z b))) (fma.f64 55833770631/5000000000 (/.f64 (*.f64 (pow.f64 z 3) y) (+.f64 607771387771/1000000000000 (+.f64 (*.f64 (pow.f64 z 3) (+.f64 z 15234687407/1000000000)) (*.f64 z (+.f64 119400905721/10000000000 (*.f64 314690115749/10000000000 z)))))) (/.f64 (*.f64 (*.f64 t (*.f64 z z)) y) (+.f64 607771387771/1000000000000 (+.f64 (*.f64 (pow.f64 z 3) (+.f64 z 15234687407/1000000000)) (*.f64 z (+.f64 119400905721/10000000000 (*.f64 314690115749/10000000000 z))))))))
25.7b
(fma.f64 y (*.f64 (*.f64 (fma.f64 z (fma.f64 z (fma.f64 z (fma.f64 z 313060547623/100000000000 55833770631/5000000000) t) a) b) (*.f64 (cbrt.f64 (/.f64 1 (fma.f64 z (fma.f64 z (fma.f64 z (+.f64 z 15234687407/1000000000) 314690115749/10000000000) 119400905721/10000000000) 607771387771/1000000000000))) (cbrt.f64 (/.f64 1 (fma.f64 z (fma.f64 z (fma.f64 z (+.f64 z 15234687407/1000000000) 314690115749/10000000000) 119400905721/10000000000) 607771387771/1000000000000))))) (cbrt.f64 (/.f64 1 (fma.f64 z (fma.f64 z (fma.f64 z (+.f64 z 15234687407/1000000000) 314690115749/10000000000) 119400905721/10000000000) 607771387771/1000000000000)))) x)
28.7b
(-.f64 (+.f64 (+.f64 (*.f64 (/.f64 y (*.f64 z z)) (+.f64 45796100221584283915100827016327/100000000000000000000000000000 (/.f64 a z))) (fma.f64 313060547623/100000000000 y x)) (*.f64 (/.f64 y z) (-.f64 (/.f64 t z) (/.f64 586480252826990429730394679450703430294089/100000000000000000000000000000000000000 (*.f64 z z))))) (fma.f64 3652704169880641883561/100000000000000000000 (/.f64 y z) (*.f64 15234687407/1000000000 (*.f64 (/.f64 y (pow.f64 z 3)) t))))
28.4b
(fma.f64 y (-.f64 (+.f64 313060547623/100000000000 (+.f64 (/.f64 t (*.f64 z z)) (+.f64 (/.f64 45796100221584283915100827016327/100000000000000000000000000000 (*.f64 z z)) (/.f64 a (pow.f64 z 3))))) (fma.f64 15234687407/1000000000 (/.f64 t (pow.f64 z 3)) (+.f64 (/.f64 3652704169880641883561/100000000000000000000 z) (/.f64 586480252826990429730394679450703430294089/100000000000000000000000000000000000000 (pow.f64 z 3))))) x)
25.6b
(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 (+.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))))))
28.0b
(+.f64 (+.f64 (fma.f64 313060547623/100000000000 (/.f64 (*.f64 (pow.f64 z 4) y) (+.f64 607771387771/1000000000000 (+.f64 (*.f64 (pow.f64 z 3) (+.f64 z 15234687407/1000000000)) (*.f64 z (+.f64 119400905721/10000000000 (*.f64 314690115749/10000000000 z)))))) x) (/.f64 (*.f64 y (+.f64 (*.f64 a z) 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))))))) (fma.f64 55833770631/5000000000 (/.f64 (*.f64 (pow.f64 z 3) y) (+.f64 607771387771/1000000000000 (+.f64 (*.f64 (pow.f64 z 3) (+.f64 z 15234687407/1000000000)) (*.f64 z (+.f64 119400905721/10000000000 (*.f64 314690115749/10000000000 z)))))) (/.f64 (*.f64 (*.f64 t (*.f64 z z)) y) (+.f64 607771387771/1000000000000 (+.f64 (*.f64 (pow.f64 z 3) (+.f64 z 15234687407/1000000000)) (*.f64 z (+.f64 119400905721/10000000000 (*.f64 314690115749/10000000000 z))))))))
45.0b
(cbrt.f64 (*.f64 (*.f64 (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) (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)) (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)))
Compiler

Compiled 33588 to 22809 computations (32.1% saved)

regimes9.6s (39.2%)

Accuracy

Total 0.6b remaining (92%)

Threshold costs 0.6b (92%)

Counts
272 → 3
Compiler

Compiled 131112 to 93028 computations (29% saved)

bsearch84.0ms (0.3%)

Steps
ItersRangePoint
8
1.2078093482740903e+43
1.3282538778859209e+46
3.39061093856557e+43
9
-2.3499997808552283e+33
-1.705132498150465e+26
-4.6909255372364786e+30
Compiler

Compiled 7 to 6 computations (14.3% saved)

simplify7.0ms (0%)

Algorithm
egg-herbie
Rules
14×+-commutative_binary64
*-commutative_binary64
sub-neg_binary64
neg-sub0_binary64
neg-mul-1_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
068177
189177
2102177
3108177
4111177
5109177

end346.0ms (1.4%)

Compiler

Compiled 837 to 554 computations (33.8% saved)

Profiling

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