Details

Time bar (total: 19.3s)

analyze2.8s (14.4%)

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)

sample174.0ms (0.9%)

Algorithm
intervals
Results
28.0ms256×body128valid
3.0ms31×body128invalid
Compiler

Compiled 93 to 67 computations (28% saved)

simplify85.0ms (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

prune6.0ms (0%)

Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New022
Fresh011
Picked000
Done000
Total033
Error
27.2b
Counts
3 → 2
Alt Table
StatusErrorProgram
27.3b
(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)
29.0b
(+.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)

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) (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 313060547623/100000000000 55833770631/5000000000)
0.1b
(fma.f64 z (fma.f64 z 313060547623/100000000000 55833770631/5000000000) t)
26.5b
(/.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))

series1.7s (8.8%)

Counts
4 → 156
Calls

4 calls:

1.2s
(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)
487.0ms
(/.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))
7.0ms
(fma.f64 z (fma.f64 z 313060547623/100000000000 55833770631/5000000000) t)
2.0ms
(fma.f64 z 313060547623/100000000000 55833770631/5000000000)

rewrite7.0ms (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 313060547623/100000000000 55833770631/5000000000)
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 313060547623/100000000000 55833770631/5000000000) t)

simplify449.0ms (2.3%)

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

prune286.0ms (1.5%)

Pruning

7 alts after pruning (7 fresh and 0 done)

PrunedKeptTotal
New1426148
Fresh011
Picked101
Done000
Total1437150
Error
0.0b
Counts
150 → 7
Alt Table
StatusErrorProgram
30.1b
(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)
29.0b
(+.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)))
27.2b
(fma.f64 y (+.f64 (/.f64 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 (*.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 55833770631/5000000000 (/.f64 (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 a 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)))))) (*.f64 313060547623/100000000000 (/.f64 (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))))))))))) x)
28.3b
(+.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)))
27.2b
(fma.f64 y (/.f64 (/.f64 (fma.f64 z (fma.f64 z (fma.f64 z (fma.f64 z 313060547623/100000000000 55833770631/5000000000) t) a) b) (sqrt.f64 (fma.f64 z (fma.f64 z (fma.f64 z (+.f64 z 15234687407/1000000000) 314690115749/10000000000) 119400905721/10000000000) 607771387771/1000000000000))) (sqrt.f64 (fma.f64 z (fma.f64 z (fma.f64 z (+.f64 z 15234687407/1000000000) 314690115749/10000000000) 119400905721/10000000000) 607771387771/1000000000000))) x)
31.5b
(+.f64 (+.f64 (*.f64 (*.f64 1000000000000/607771387771 y) (+.f64 b (*.f64 z (+.f64 a (*.f64 t z))))) (fma.f64 123439798033292669987862100000000000000/224502278183706222041215714334315011 (*.f64 (*.f64 z z) (*.f64 b y)) x)) (*.f64 -11940090572100000000000000/369386059793087248348441 (*.f64 y (*.f64 z (fma.f64 a z b)))))
27.3b
(fma.f64 y (/.f64 (fma.f64 z (fma.f64 z (fma.f64 z (cbrt.f64 (pow.f64 (fma.f64 z 313060547623/100000000000 55833770631/5000000000) 3)) 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 7753 to 5047 computations (34.9% saved)

localize23.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.1b
(fma.f64 z (fma.f64 z 313060547623/100000000000 55833770631/5000000000) t)
7.5b
(sqrt.f64 (fma.f64 z (fma.f64 z (fma.f64 z (+.f64 z 15234687407/1000000000) 314690115749/10000000000) 119400905721/10000000000) 607771387771/1000000000000))
17.2b
(/.f64 (/.f64 (fma.f64 z (fma.f64 z (fma.f64 z (fma.f64 z 313060547623/100000000000 55833770631/5000000000) t) a) b) (sqrt.f64 (fma.f64 z (fma.f64 z (fma.f64 z (+.f64 z 15234687407/1000000000) 314690115749/10000000000) 119400905721/10000000000) 607771387771/1000000000000))) (sqrt.f64 (fma.f64 z (fma.f64 z (fma.f64 z (+.f64 z 15234687407/1000000000) 314690115749/10000000000) 119400905721/10000000000) 607771387771/1000000000000)))
23.0b
(/.f64 (fma.f64 z (fma.f64 z (fma.f64 z (fma.f64 z 313060547623/100000000000 55833770631/5000000000) t) a) b) (sqrt.f64 (fma.f64 z (fma.f64 z (fma.f64 z (+.f64 z 15234687407/1000000000) 314690115749/10000000000) 119400905721/10000000000) 607771387771/1000000000000)))

series989.0ms (5.1%)

Counts
3 → 108
Calls

3 calls:

507.0ms
(/.f64 (/.f64 (fma.f64 z (fma.f64 z (fma.f64 z (fma.f64 z 313060547623/100000000000 55833770631/5000000000) t) a) b) (sqrt.f64 (fma.f64 z (fma.f64 z (fma.f64 z (+.f64 z 15234687407/1000000000) 314690115749/10000000000) 119400905721/10000000000) 607771387771/1000000000000))) (sqrt.f64 (fma.f64 z (fma.f64 z (fma.f64 z (+.f64 z 15234687407/1000000000) 314690115749/10000000000) 119400905721/10000000000) 607771387771/1000000000000)))
477.0ms
(/.f64 (fma.f64 z (fma.f64 z (fma.f64 z (fma.f64 z 313060547623/100000000000 55833770631/5000000000) t) a) b) (sqrt.f64 (fma.f64 z (fma.f64 z (fma.f64 z (+.f64 z 15234687407/1000000000) 314690115749/10000000000) 119400905721/10000000000) 607771387771/1000000000000)))
5.0ms
(sqrt.f64 (fma.f64 z (fma.f64 z (fma.f64 z (+.f64 z 15234687407/1000000000) 314690115749/10000000000) 119400905721/10000000000) 607771387771/1000000000000))

rewrite69.0ms (0.4%)

Algorithm
rewrite-expression-head
Rules
276×times-frac_binary64
157×add-sqr-sqrt_binary64
156×*-un-lft-identity_binary64
156×add-cube-cbrt_binary64
147×sqrt-prod_binary64
Counts
3 → 233
Calls

3 calls:

8.0ms
(/.f64 (/.f64 (fma.f64 z (fma.f64 z (fma.f64 z (fma.f64 z 313060547623/100000000000 55833770631/5000000000) t) a) b) (sqrt.f64 (fma.f64 z (fma.f64 z (fma.f64 z (+.f64 z 15234687407/1000000000) 314690115749/10000000000) 119400905721/10000000000) 607771387771/1000000000000))) (sqrt.f64 (fma.f64 z (fma.f64 z (fma.f64 z (+.f64 z 15234687407/1000000000) 314690115749/10000000000) 119400905721/10000000000) 607771387771/1000000000000)))
3.0ms
(/.f64 (fma.f64 z (fma.f64 z (fma.f64 z (fma.f64 z 313060547623/100000000000 55833770631/5000000000) t) a) b) (sqrt.f64 (fma.f64 z (fma.f64 z (fma.f64 z (+.f64 z 15234687407/1000000000) 314690115749/10000000000) 119400905721/10000000000) 607771387771/1000000000000)))
1.0ms
(sqrt.f64 (fma.f64 z (fma.f64 z (fma.f64 z (+.f64 z 15234687407/1000000000) 314690115749/10000000000) 119400905721/10000000000) 607771387771/1000000000000))

simplify565.0ms (2.9%)

Algorithm
egg-herbie
Rules
733×times-frac_binary64
367×fma-def_binary64
250×associate-/l/_binary64
229×associate-+r+_binary64
220×+-commutative_binary64
Counts
341 → 337
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
048030897
1128629174
2377028106
3497228106

prune830.0ms (4.3%)

Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New3881389
Fresh156
Picked011
Done000
Total3897396
Error
0.0b
Counts
396 → 7
Alt Table
StatusErrorProgram
30.1b
(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)
29.0b
(+.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 b (+.f64 607771387771/1000000000000 (fma.f64 (*.f64 z z) 314690115749/10000000000 (+.f64 (pow.f64 z 4) (fma.f64 z 119400905721/10000000000 (*.f64 (pow.f64 z 3) 15234687407/1000000000)))))) x)
28.3b
(+.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)))
27.2b
(fma.f64 y (/.f64 (/.f64 (fma.f64 z (fma.f64 z (fma.f64 z (fma.f64 z 313060547623/100000000000 55833770631/5000000000) t) a) b) (sqrt.f64 (fma.f64 z (fma.f64 z (fma.f64 z (+.f64 z 15234687407/1000000000) 314690115749/10000000000) 119400905721/10000000000) 607771387771/1000000000000))) (sqrt.f64 (fma.f64 z (fma.f64 z (fma.f64 z (+.f64 z 15234687407/1000000000) 314690115749/10000000000) 119400905721/10000000000) 607771387771/1000000000000))) x)
31.5b
(+.f64 (+.f64 (*.f64 (*.f64 1000000000000/607771387771 y) (+.f64 b (*.f64 z (+.f64 a (*.f64 t z))))) (fma.f64 123439798033292669987862100000000000000/224502278183706222041215714334315011 (*.f64 (*.f64 z z) (*.f64 b y)) x)) (*.f64 -11940090572100000000000000/369386059793087248348441 (*.f64 y (*.f64 z (fma.f64 a z b)))))
27.3b
(fma.f64 y (/.f64 (fma.f64 z (fma.f64 z (fma.f64 z (cbrt.f64 (pow.f64 (fma.f64 z 313060547623/100000000000 55833770631/5000000000) 3)) 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 27031 to 17601 computations (34.9% saved)

localize17.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.2b
(fma.f64 z 119400905721/10000000000 (*.f64 (pow.f64 z 3) 15234687407/1000000000))
0.5b
(fma.f64 y (/.f64 b (+.f64 607771387771/1000000000000 (fma.f64 (*.f64 z z) 314690115749/10000000000 (+.f64 (pow.f64 z 4) (fma.f64 z 119400905721/10000000000 (*.f64 (pow.f64 z 3) 15234687407/1000000000)))))) x)
2.6b
(/.f64 b (+.f64 607771387771/1000000000000 (fma.f64 (*.f64 z z) 314690115749/10000000000 (+.f64 (pow.f64 z 4) (fma.f64 z 119400905721/10000000000 (*.f64 (pow.f64 z 3) 15234687407/1000000000))))))
9.4b
(+.f64 (pow.f64 z 4) (fma.f64 z 119400905721/10000000000 (*.f64 (pow.f64 z 3) 15234687407/1000000000)))

series514.0ms (2.7%)

Counts
4 → 96
Calls

4 calls:

317.0ms
(fma.f64 y (/.f64 b (+.f64 607771387771/1000000000000 (fma.f64 (*.f64 z z) 314690115749/10000000000 (+.f64 (pow.f64 z 4) (fma.f64 z 119400905721/10000000000 (*.f64 (pow.f64 z 3) 15234687407/1000000000)))))) x)
188.0ms
(/.f64 b (+.f64 607771387771/1000000000000 (fma.f64 (*.f64 z z) 314690115749/10000000000 (+.f64 (pow.f64 z 4) (fma.f64 z 119400905721/10000000000 (*.f64 (pow.f64 z 3) 15234687407/1000000000))))))
5.0ms
(fma.f64 z 119400905721/10000000000 (*.f64 (pow.f64 z 3) 15234687407/1000000000))
4.0ms
(+.f64 (pow.f64 z 4) (fma.f64 z 119400905721/10000000000 (*.f64 (pow.f64 z 3) 15234687407/1000000000)))

rewrite12.0ms (0.1%)

Algorithm
rewrite-expression-head
Rules
25×*-un-lft-identity_binary64
15×add-sqr-sqrt_binary64
15×add-cube-cbrt_binary64
12×times-frac_binary64
fma-def_binary64
Counts
4 → 77
Calls

4 calls:

4.0ms
(+.f64 (pow.f64 z 4) (fma.f64 z 119400905721/10000000000 (*.f64 (pow.f64 z 3) 15234687407/1000000000)))
3.0ms
(/.f64 b (+.f64 607771387771/1000000000000 (fma.f64 (*.f64 z z) 314690115749/10000000000 (+.f64 (pow.f64 z 4) (fma.f64 z 119400905721/10000000000 (*.f64 (pow.f64 z 3) 15234687407/1000000000))))))
0.0ms
(fma.f64 y (/.f64 b (+.f64 607771387771/1000000000000 (fma.f64 (*.f64 z z) 314690115749/10000000000 (+.f64 (pow.f64 z 4) (fma.f64 z 119400905721/10000000000 (*.f64 (pow.f64 z 3) 15234687407/1000000000)))))) x)
0.0ms
(fma.f64 z 119400905721/10000000000 (*.f64 (pow.f64 z 3) 15234687407/1000000000))

simplify111.0ms (0.6%)

Algorithm
egg-herbie
Rules
808×distribute-rgt-in_binary64
782×distribute-lft-in_binary64
604×fma-def_binary64
299×cancel-sign-sub-inv_binary64
152×times-frac_binary64
Counts
173 → 173
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02084836
14804584
215024161
356484161

prune243.0ms (1.3%)

Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New1712173
Fresh145
Picked101
Done011
Total1737180
Error
0.0b
Counts
180 → 7
Alt Table
StatusErrorProgram
26.1b
(+.f64 (/.f64 (*.f64 y b) (+.f64 607771387771/1000000000000 (+.f64 (*.f64 314690115749/10000000000 (pow.f64 z 2)) (+.f64 (pow.f64 z 4) (+.f64 (*.f64 119400905721/10000000000 z) (*.f64 15234687407/1000000000 (pow.f64 z 3))))))) x)
28.3b
(+.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)))
27.2b
(fma.f64 y (/.f64 (/.f64 (fma.f64 z (fma.f64 z (fma.f64 z (fma.f64 z 313060547623/100000000000 55833770631/5000000000) t) a) b) (sqrt.f64 (fma.f64 z (fma.f64 z (fma.f64 z (+.f64 z 15234687407/1000000000) 314690115749/10000000000) 119400905721/10000000000) 607771387771/1000000000000))) (sqrt.f64 (fma.f64 z (fma.f64 z (fma.f64 z (+.f64 z 15234687407/1000000000) 314690115749/10000000000) 119400905721/10000000000) 607771387771/1000000000000))) x)
31.5b
(+.f64 (+.f64 (*.f64 (*.f64 1000000000000/607771387771 y) (+.f64 b (*.f64 z (+.f64 a (*.f64 t z))))) (fma.f64 123439798033292669987862100000000000000/224502278183706222041215714334315011 (*.f64 (*.f64 z z) (*.f64 b y)) x)) (*.f64 -11940090572100000000000000/369386059793087248348441 (*.f64 y (*.f64 z (fma.f64 a z b)))))
27.3b
(fma.f64 y (/.f64 (fma.f64 z (fma.f64 z (fma.f64 z (cbrt.f64 (pow.f64 (fma.f64 z 313060547623/100000000000 55833770631/5000000000) 3)) t) a) b) (fma.f64 z (fma.f64 z (fma.f64 z (+.f64 z 15234687407/1000000000) 314690115749/10000000000) 119400905721/10000000000) 607771387771/1000000000000)) x)
30.1b
(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)
32.8b
(fma.f64 b (*.f64 1000000000000/607771387771 y) (+.f64 x (*.f64 (*.f64 b y) (*.f64 z (-.f64 (*.f64 123439798033292669987862100000000000000/224502278183706222041215714334315011 z) 11940090572100000000000000/369386059793087248348441)))))
Compiler

Compiled 6008 to 3893 computations (35.2% saved)

localize18.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.2b
(*.f64 314690115749/10000000000 (pow.f64 z 2))
0.4b
(*.f64 119400905721/10000000000 z)
3.9b
(/.f64 (*.f64 y b) (+.f64 607771387771/1000000000000 (+.f64 (*.f64 314690115749/10000000000 (pow.f64 z 2)) (+.f64 (pow.f64 z 4) (+.f64 (*.f64 119400905721/10000000000 z) (*.f64 15234687407/1000000000 (pow.f64 z 3)))))))
9.4b
(+.f64 (pow.f64 z 4) (+.f64 (*.f64 119400905721/10000000000 z) (*.f64 15234687407/1000000000 (pow.f64 z 3))))

series352.0ms (1.8%)

Counts
4 → 40
Calls

4 calls:

344.0ms
(/.f64 (*.f64 y b) (+.f64 607771387771/1000000000000 (+.f64 (*.f64 314690115749/10000000000 (pow.f64 z 2)) (+.f64 (pow.f64 z 4) (+.f64 (*.f64 119400905721/10000000000 z) (*.f64 15234687407/1000000000 (pow.f64 z 3)))))))
4.0ms
(+.f64 (pow.f64 z 4) (+.f64 (*.f64 119400905721/10000000000 z) (*.f64 15234687407/1000000000 (pow.f64 z 3))))
3.0ms
(*.f64 314690115749/10000000000 (pow.f64 z 2))
1.0ms
(*.f64 119400905721/10000000000 z)

rewrite29.0ms (0.2%)

Algorithm
rewrite-expression-head
Rules
21×add-sqr-sqrt_binary64
19×*-un-lft-identity_binary64
16×add-exp-log_binary64
13×add-cbrt-cube_binary64
13×add-cube-cbrt_binary64
Counts
4 → 99
Calls

4 calls:

11.0ms
(/.f64 (*.f64 y b) (+.f64 607771387771/1000000000000 (+.f64 (*.f64 314690115749/10000000000 (pow.f64 z 2)) (+.f64 (pow.f64 z 4) (+.f64 (*.f64 119400905721/10000000000 z) (*.f64 15234687407/1000000000 (pow.f64 z 3)))))))
7.0ms
(+.f64 (pow.f64 z 4) (+.f64 (*.f64 119400905721/10000000000 z) (*.f64 15234687407/1000000000 (pow.f64 z 3))))
5.0ms
(*.f64 314690115749/10000000000 (pow.f64 z 2))
3.0ms
(*.f64 119400905721/10000000000 z)

simplify85.0ms (0.4%)

Algorithm
egg-herbie
Rules
932×distribute-rgt-in_binary64
612×fma-def_binary64
449×times-frac_binary64
246×cancel-sign-sub-inv_binary64
141×associate-*r*_binary64
Counts
139 → 168
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02303144
15582810
219512567
356622567

prune253.0ms (1.3%)

Pruning

7 alts after pruning (5 fresh and 2 done)

PrunedKeptTotal
New1671168
Fresh145
Picked011
Done011
Total1687175
Error
0.0b
Counts
175 → 7
Alt Table
StatusErrorProgram
30.1b
(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)
19.2b
(+.f64 (*.f64 (/.f64 y (sqrt.f64 (+.f64 (fma.f64 119400905721/10000000000 z (*.f64 (pow.f64 z 3) (+.f64 15234687407/1000000000 z))) (fma.f64 z (*.f64 z 314690115749/10000000000) 607771387771/1000000000000)))) (/.f64 b (sqrt.f64 (+.f64 (fma.f64 119400905721/10000000000 z (*.f64 (pow.f64 z 3) (+.f64 15234687407/1000000000 z))) (fma.f64 z (*.f64 z 314690115749/10000000000) 607771387771/1000000000000))))) x)
26.1b
(+.f64 (/.f64 (*.f64 y b) (+.f64 607771387771/1000000000000 (+.f64 (*.f64 314690115749/10000000000 (pow.f64 z 2)) (+.f64 (pow.f64 z 4) (+.f64 (*.f64 119400905721/10000000000 z) (*.f64 15234687407/1000000000 (pow.f64 z 3))))))) x)
28.3b
(+.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)))
27.2b
(fma.f64 y (/.f64 (/.f64 (fma.f64 z (fma.f64 z (fma.f64 z (fma.f64 z 313060547623/100000000000 55833770631/5000000000) t) a) b) (sqrt.f64 (fma.f64 z (fma.f64 z (fma.f64 z (+.f64 z 15234687407/1000000000) 314690115749/10000000000) 119400905721/10000000000) 607771387771/1000000000000))) (sqrt.f64 (fma.f64 z (fma.f64 z (fma.f64 z (+.f64 z 15234687407/1000000000) 314690115749/10000000000) 119400905721/10000000000) 607771387771/1000000000000))) x)
31.5b
(+.f64 (+.f64 (*.f64 (*.f64 1000000000000/607771387771 y) (+.f64 b (*.f64 z (+.f64 a (*.f64 t z))))) (fma.f64 123439798033292669987862100000000000000/224502278183706222041215714334315011 (*.f64 (*.f64 z z) (*.f64 b y)) x)) (*.f64 -11940090572100000000000000/369386059793087248348441 (*.f64 y (*.f64 z (fma.f64 a z b)))))
27.3b
(fma.f64 y (/.f64 (fma.f64 z (fma.f64 z (fma.f64 z (cbrt.f64 (pow.f64 (fma.f64 z 313060547623/100000000000 55833770631/5000000000) 3)) 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 6084 to 4294 computations (29.4% saved)

regimes8.0s (41.4%)

Accuracy

Total 0.9b remaining (95.2%)

Threshold costs 0.9b (95.2%)

Counts
274 → 3
Compiler

Compiled 79888 to 57012 computations (28.6% saved)

bsearch23.0ms (0.1%)

Compiler

Compiled 41 to 29 computations (29.3% saved)

simplify9.0ms (0%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
071224
1104224
2114224
3118224
4120224
5118224

end4.0ms (0%)

Compiler

Compiled 159 to 102 computations (35.8% saved)

sample1.6s (8.5%)

Algorithm
intervals
Results
872.0ms8000×body128valid
97.0ms838×body128invalid
Compiler

Compiled 492 to 333 computations (32.3% saved)

Profiling

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