Details

Time bar (total: 25.7s)

analyze1.4s (5.6%)

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
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%74.8%25.2%8
0%74.8%25.2%9
0%74.8%25.2%10
0%74.8%25.2%11
0%74.8%25.2%12
24.9%49.9%25.2%13
24.9%37.4%37.7%14
Compiler

Compiled 26 to 20 computations (23.1% saved)

sample4.1s (16%)

Symmetry

(sort z t)

Results
1.2s1691×body1024valid
875.0ms4741×body128valid
789.0ms749×body2048valid
663.0ms3460×body128invalid
337.0ms734×body512valid
125.0ms340×body256valid
2.0msbody4096valid
Compiler

Compiled 77 to 59 computations (23.4% saved)

simplify58.0ms (0.2%)

Algorithm
egg-herbie
Rules
718×fma-def_binary64
437×fma-neg_binary64
146×cancel-sign-sub-inv_binary64
110×distribute-rgt-neg-in_binary64
104×associate-/l*_binary64
Counts
1 → 2
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
01929
13429
26429
311427
420925
532225
649425
764425
881025
997925
10119725
11129725
12130825
13132425
14132425
15121325

prune4.0ms (0%)

Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New022
Fresh011
Picked000
Done000
Total033
Error
17.8b
Counts
3 → 2
Alt Table
StatusErrorProgram
18.1b
(fma.f64 a (/.f64 -1/3 b) (*.f64 (*.f64 2 (sqrt.f64 x)) (cos.f64 (fma.f64 z (*.f64 t -1/3) y))))
18.1b
(-.f64 (*.f64 (*.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (/.f64 (*.f64 z t) 3)))) (/.f64 a (*.f64 b 3)))
Compiler

Compiled 138 to 101 computations (26.8% saved)

localize13.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.2b
(/.f64 (*.f64 z t) 3)
0.2b
(/.f64 a (*.f64 b 3))
0.3b
(*.f64 (*.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (/.f64 (*.f64 z t) 3))))
21.3b
(cos.f64 (-.f64 y (/.f64 (*.f64 z t) 3)))

series72.0ms (0.3%)

Counts
4 → 120
Calls

4 calls:

51.0ms
(*.f64 (*.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (/.f64 (*.f64 z t) 3))))
10.0ms
(cos.f64 (-.f64 y (/.f64 (*.f64 z t) 3)))
6.0ms
(/.f64 a (*.f64 b 3))
4.0ms
(/.f64 (*.f64 z t) 3)

rewrite34.0ms (0.1%)

Algorithm
rewrite-expression-head
Rules
29×cos-sum_binary64
24×*-un-lft-identity_binary64
24×add-sqr-sqrt_binary64
24×add-cube-cbrt_binary64
21×prod-diff_binary64
Counts
4 → 107
Calls

4 calls:

14.0ms
(*.f64 (*.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (/.f64 (*.f64 z t) 3))))
6.0ms
(cos.f64 (-.f64 y (/.f64 (*.f64 z t) 3)))
3.0ms
(/.f64 (*.f64 z t) 3)
3.0ms
(/.f64 a (*.f64 b 3))

simplify168.0ms (0.7%)

Algorithm
egg-herbie
Rules
544×fma-def_binary64
441×cancel-sign-sub-inv_binary64
355×times-frac_binary64
315×fma-neg_binary64
307×associate-*l*_binary64
Counts
227 → 197
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
04295768
18454618
225064006
347133886
449833886
548423886

prune564.0ms (2.2%)

Pruning

27 alts after pruning (27 fresh and 0 done)

PrunedKeptTotal
New17126197
Fresh011
Picked101
Done000
Total17227199
Error
9.7b
Counts
199 → 27
Alt Table
StatusErrorProgram
33.4b
(-.f64 (*.f64 (*.f64 (*.f64 2 (sqrt.f64 x)) (sqrt.f64 (cos.f64 (-.f64 y (/.f64 (*.f64 z t) 3))))) (sqrt.f64 (cos.f64 (-.f64 y (/.f64 (*.f64 z t) 3))))) (/.f64 a (*.f64 b 3)))
18.2b
(-.f64 (*.f64 (*.f64 2 (sqrt.f64 x)) (log.f64 (exp.f64 (cos.f64 (-.f64 y (/.f64 (*.f64 z t) 3)))))) (/.f64 a (*.f64 b 3)))
18.1b
(-.f64 (*.f64 (*.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (*.f64 (/.f64 z (sqrt.f64 3)) (/.f64 t (sqrt.f64 3)))))) (/.f64 a (*.f64 b 3)))
18.2b
(-.f64 (*.f64 (*.f64 (*.f64 2 (sqrt.f64 x)) (*.f64 (cbrt.f64 (cos.f64 (-.f64 y (/.f64 (*.f64 z t) 3)))) (cbrt.f64 (cos.f64 (-.f64 y (/.f64 (*.f64 z t) 3)))))) (cbrt.f64 (cos.f64 (-.f64 y (/.f64 (*.f64 z t) 3))))) (/.f64 a (*.f64 b 3)))
18.1b
(-.f64 (*.f64 (*.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (*.f64 (*.f64 (cbrt.f64 (/.f64 (*.f64 z t) 3)) (cbrt.f64 (/.f64 (*.f64 z t) 3))) (cbrt.f64 (/.f64 (*.f64 z t) 3)))))) (/.f64 a (*.f64 b 3)))
50.1b
(-.f64 (*.f64 (*.f64 2 (sqrt.f64 x)) (-.f64 (*.f64 (cos.f64 (fma.f64 (sqrt.f64 y) (sqrt.f64 y) (neg.f64 (*.f64 (sqrt.f64 (/.f64 (*.f64 z t) 3)) (sqrt.f64 (/.f64 (*.f64 z t) 3)))))) (cos.f64 (fma.f64 (neg.f64 (sqrt.f64 (/.f64 (*.f64 z t) 3))) (sqrt.f64 (/.f64 (*.f64 z t) 3)) (*.f64 (sqrt.f64 (/.f64 (*.f64 z t) 3)) (sqrt.f64 (/.f64 (*.f64 z t) 3)))))) (*.f64 (sin.f64 (fma.f64 (sqrt.f64 y) (sqrt.f64 y) (neg.f64 (*.f64 (sqrt.f64 (/.f64 (*.f64 z t) 3)) (sqrt.f64 (/.f64 (*.f64 z t) 3)))))) (sin.f64 (fma.f64 (neg.f64 (sqrt.f64 (/.f64 (*.f64 z t) 3))) (sqrt.f64 (/.f64 (*.f64 z t) 3)) (*.f64 (sqrt.f64 (/.f64 (*.f64 z t) 3)) (sqrt.f64 (/.f64 (*.f64 z t) 3)))))))) (/.f64 a (*.f64 b 3)))
28.2b
(-.f64 (cbrt.f64 (*.f64 (*.f64 (*.f64 (*.f64 2 (sqrt.f64 x)) (*.f64 2 (sqrt.f64 x))) (*.f64 2 (sqrt.f64 x))) (*.f64 (*.f64 (cos.f64 (-.f64 y (/.f64 (*.f64 z t) 3))) (cos.f64 (-.f64 y (/.f64 (*.f64 z t) 3)))) (cos.f64 (-.f64 y (/.f64 (*.f64 z t) 3)))))) (/.f64 a (*.f64 b 3)))
17.7b
(-.f64 (*.f64 (*.f64 2 (sqrt.f64 x)) (-.f64 (*.f64 (cos.f64 y) (cos.f64 (*.f64 (/.f64 t (sqrt.f64 3)) (/.f64 z (sqrt.f64 3))))) (*.f64 (sin.f64 y) (sin.f64 (neg.f64 (*.f64 (/.f64 t (sqrt.f64 3)) (/.f64 z (sqrt.f64 3)))))))) (/.f64 a (*.f64 b 3)))
15.1b
(-.f64 (*.f64 (*.f64 2 (sqrt.f64 x)) (cos.f64 y)) (/.f64 a (*.f64 b 3)))
18.1b
(fma.f64 a (/.f64 -1/3 b) (*.f64 (*.f64 2 (sqrt.f64 x)) (cos.f64 (fma.f64 z (*.f64 t -1/3) y))))
53.0b
(-.f64 (*.f64 (*.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (exp.f64 (-.f64 (+.f64 (log.f64 z) (log.f64 t)) (log.f64 3)))))) (/.f64 a (*.f64 b 3)))
28.2b
(-.f64 (cbrt.f64 (pow.f64 (*.f64 (cos.f64 (-.f64 y (/.f64 (*.f64 t z) 3))) (*.f64 2 (sqrt.f64 x))) 3)) (/.f64 a (*.f64 b 3)))
17.7b
(-.f64 (*.f64 (*.f64 2 (sqrt.f64 x)) (-.f64 (*.f64 (cos.f64 y) (cos.f64 (*.f64 (/.f64 t (cbrt.f64 3)) (/.f64 z (*.f64 (cbrt.f64 3) (cbrt.f64 3)))))) (*.f64 (sin.f64 y) (sin.f64 (neg.f64 (*.f64 (/.f64 t (cbrt.f64 3)) (/.f64 z (*.f64 (cbrt.f64 3) (cbrt.f64 3))))))))) (/.f64 a (*.f64 b 3)))
18.0b
(-.f64 (*.f64 (*.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (/.f64 (*.f64 z t) 3)))) (/.f64 (/.f64 a b) 3))
25.8b
(-.f64 (expm1.f64 (log1p.f64 (*.f64 (*.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (/.f64 (*.f64 z t) 3)))))) (/.f64 a (*.f64 b 3)))
18.0b
(-.f64 (*.f64 (*.f64 2 (sqrt.f64 x)) (-.f64 (*.f64 (cos.f64 y) (cos.f64 (*.f64 (neg.f64 (*.f64 (cbrt.f64 (/.f64 (*.f64 z t) 3)) (cbrt.f64 (/.f64 (*.f64 z t) 3)))) (cbrt.f64 (/.f64 (*.f64 z t) 3))))) (*.f64 (sin.f64 y) (sin.f64 (*.f64 (neg.f64 (*.f64 (cbrt.f64 (/.f64 (*.f64 z t) 3)) (cbrt.f64 (/.f64 (*.f64 z t) 3)))) (cbrt.f64 (/.f64 (*.f64 z t) 3))))))) (/.f64 a (*.f64 b 3)))
18.1b
(-.f64 (*.f64 (*.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (/.f64 (*.f64 z t) 3)))) (/.f64 1 (/.f64 (*.f64 b 3) a)))
18.1b
(-.f64 (*.f64 (*.f64 2 (sqrt.f64 x)) (-.f64 (*.f64 (cos.f64 (fma.f64 1 y (neg.f64 (*.f64 (/.f64 1 3) (*.f64 z t))))) (cos.f64 (fma.f64 (neg.f64 (/.f64 1 3)) (*.f64 z t) (*.f64 (/.f64 1 3) (*.f64 z t))))) (*.f64 (sin.f64 (fma.f64 1 y (neg.f64 (*.f64 (/.f64 1 3) (*.f64 z t))))) (sin.f64 (fma.f64 (neg.f64 (/.f64 1 3)) (*.f64 z t) (*.f64 (/.f64 1 3) (*.f64 z t))))))) (/.f64 a (*.f64 b 3)))
27.5b
(-.f64 (*.f64 (*.f64 2 (sqrt.f64 x)) (cos.f64 (*.f64 1/3 (*.f64 t z)))) (/.f64 a (*.f64 b 3)))
18.1b
(-.f64 (*.f64 (*.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (/.f64 (*.f64 z t) 3)))) (*.f64 (/.f64 1 b) (/.f64 a 3)))
15.0b
(-.f64 (*.f64 (*.f64 2 (sqrt.f64 x)) (-.f64 (*.f64 (cos.f64 (fma.f64 1 y (neg.f64 (*.f64 (/.f64 t 3) (/.f64 z 1))))) (cos.f64 (fma.f64 (neg.f64 (/.f64 t 3)) (/.f64 z 1) (*.f64 (/.f64 t 3) (/.f64 z 1))))) (*.f64 (sin.f64 (fma.f64 1 y (neg.f64 (*.f64 (/.f64 t 3) (/.f64 z 1))))) (sin.f64 (fma.f64 (neg.f64 (/.f64 t 3)) (/.f64 z 1) (*.f64 (/.f64 t 3) (/.f64 z 1))))))) (/.f64 a (*.f64 b 3)))
17.9b
(-.f64 (*.f64 (*.f64 2 (sqrt.f64 x)) (-.f64 (*.f64 (cos.f64 (fma.f64 1 y (neg.f64 (*.f64 (/.f64 t (sqrt.f64 3)) (/.f64 z (sqrt.f64 3)))))) (cos.f64 (fma.f64 (neg.f64 (/.f64 t (sqrt.f64 3))) (/.f64 z (sqrt.f64 3)) (*.f64 (/.f64 t (sqrt.f64 3)) (/.f64 z (sqrt.f64 3)))))) (*.f64 (sin.f64 (fma.f64 1 y (neg.f64 (*.f64 (/.f64 t (sqrt.f64 3)) (/.f64 z (sqrt.f64 3)))))) (sin.f64 (fma.f64 (neg.f64 (/.f64 t (sqrt.f64 3))) (/.f64 z (sqrt.f64 3)) (*.f64 (/.f64 t (sqrt.f64 3)) (/.f64 z (sqrt.f64 3)))))))) (/.f64 a (*.f64 b 3)))
18.1b
(-.f64 (*.f64 (*.f64 2 (sqrt.f64 x)) (log1p.f64 (expm1.f64 (cos.f64 (-.f64 y (/.f64 (*.f64 z t) 3)))))) (/.f64 a (*.f64 b 3)))
18.4b
(-.f64 (*.f64 (*.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (/.f64 (*.f64 z t) 3)))) (*.f64 (*.f64 (cbrt.f64 (/.f64 a (*.f64 b 3))) (cbrt.f64 (/.f64 a (*.f64 b 3)))) (cbrt.f64 (/.f64 a (*.f64 b 3)))))
17.9b
(-.f64 (*.f64 (*.f64 2 (sqrt.f64 x)) (-.f64 (*.f64 (cos.f64 (fma.f64 1 y (neg.f64 (*.f64 (/.f64 t (cbrt.f64 3)) (/.f64 z (*.f64 (cbrt.f64 3) (cbrt.f64 3))))))) (cos.f64 (fma.f64 (neg.f64 (/.f64 t (cbrt.f64 3))) (/.f64 z (*.f64 (cbrt.f64 3) (cbrt.f64 3))) (*.f64 (/.f64 t (cbrt.f64 3)) (/.f64 z (*.f64 (cbrt.f64 3) (cbrt.f64 3))))))) (*.f64 (sin.f64 (fma.f64 1 y (neg.f64 (*.f64 (/.f64 t (cbrt.f64 3)) (/.f64 z (*.f64 (cbrt.f64 3) (cbrt.f64 3))))))) (sin.f64 (fma.f64 (neg.f64 (/.f64 t (cbrt.f64 3))) (/.f64 z (*.f64 (cbrt.f64 3) (cbrt.f64 3))) (*.f64 (/.f64 t (cbrt.f64 3)) (/.f64 z (*.f64 (cbrt.f64 3) (cbrt.f64 3))))))))) (/.f64 a (*.f64 b 3)))
18.1b
(-.f64 (*.f64 (*.f64 2 (sqrt.f64 x)) (expm1.f64 (log1p.f64 (cos.f64 (-.f64 y (/.f64 (*.f64 z t) 3)))))) (/.f64 a (*.f64 b 3)))
34.8b
(-.f64 (*.f64 (*.f64 2 (sqrt.f64 x)) (-.f64 (*.f64 (cos.f64 (fma.f64 1 y (neg.f64 (*.f64 (sqrt.f64 (/.f64 (*.f64 z t) 3)) (sqrt.f64 (/.f64 (*.f64 z t) 3)))))) (cos.f64 (fma.f64 (neg.f64 (sqrt.f64 (/.f64 (*.f64 z t) 3))) (sqrt.f64 (/.f64 (*.f64 z t) 3)) (*.f64 (sqrt.f64 (/.f64 (*.f64 z t) 3)) (sqrt.f64 (/.f64 (*.f64 z t) 3)))))) (*.f64 (sin.f64 (fma.f64 1 y (neg.f64 (*.f64 (sqrt.f64 (/.f64 (*.f64 z t) 3)) (sqrt.f64 (/.f64 (*.f64 z t) 3)))))) (sin.f64 (fma.f64 (neg.f64 (sqrt.f64 (/.f64 (*.f64 z t) 3))) (sqrt.f64 (/.f64 (*.f64 z t) 3)) (*.f64 (sqrt.f64 (/.f64 (*.f64 z t) 3)) (sqrt.f64 (/.f64 (*.f64 z t) 3)))))))) (/.f64 a (*.f64 b 3)))
Compiler

Compiled 9567 to 6167 computations (35.5% saved)

localize72.0ms (0.3%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.3b
(*.f64 (*.f64 2 (sqrt.f64 x)) (-.f64 (*.f64 (cos.f64 (fma.f64 1 y (neg.f64 (*.f64 (/.f64 t 3) (/.f64 z 1))))) (cos.f64 (fma.f64 (neg.f64 (/.f64 t 3)) (/.f64 z 1) (*.f64 (/.f64 t 3) (/.f64 z 1))))) (*.f64 (sin.f64 (fma.f64 1 y (neg.f64 (*.f64 (/.f64 t 3) (/.f64 z 1))))) (sin.f64 (fma.f64 (neg.f64 (/.f64 t 3)) (/.f64 z 1) (*.f64 (/.f64 t 3) (/.f64 z 1)))))))
21.3b
(cos.f64 (fma.f64 1 y (neg.f64 (*.f64 (/.f64 t 3) (/.f64 z 1)))))
21.8b
(sin.f64 (fma.f64 1 y (neg.f64 (*.f64 (/.f64 t 3) (/.f64 z 1)))))
53.9b
(fma.f64 (neg.f64 (/.f64 t 3)) (/.f64 z 1) (*.f64 (/.f64 t 3) (/.f64 z 1)))

series128.0ms (0.5%)

Counts
4 → 132
Calls

4 calls:

95.0ms
(*.f64 (*.f64 2 (sqrt.f64 x)) (-.f64 (*.f64 (cos.f64 (fma.f64 1 y (neg.f64 (*.f64 (/.f64 t 3) (/.f64 z 1))))) (cos.f64 (fma.f64 (neg.f64 (/.f64 t 3)) (/.f64 z 1) (*.f64 (/.f64 t 3) (/.f64 z 1))))) (*.f64 (sin.f64 (fma.f64 1 y (neg.f64 (*.f64 (/.f64 t 3) (/.f64 z 1))))) (sin.f64 (fma.f64 (neg.f64 (/.f64 t 3)) (/.f64 z 1) (*.f64 (/.f64 t 3) (/.f64 z 1)))))))
12.0ms
(cos.f64 (fma.f64 1 y (neg.f64 (*.f64 (/.f64 t 3) (/.f64 z 1)))))
11.0ms
(fma.f64 (neg.f64 (/.f64 t 3)) (/.f64 z 1) (*.f64 (/.f64 t 3) (/.f64 z 1)))
10.0ms
(sin.f64 (fma.f64 1 y (neg.f64 (*.f64 (/.f64 t 3) (/.f64 z 1)))))

rewrite19.0ms (0.1%)

Algorithm
rewrite-expression-head
Rules
add-cbrt-cube_binary64
add-exp-log_binary64
pow1_binary64
*-un-lft-identity_binary64
add-sqr-sqrt_binary64
Counts
4 → 60
Calls

4 calls:

8.0ms
(*.f64 (*.f64 2 (sqrt.f64 x)) (-.f64 (*.f64 (cos.f64 (fma.f64 1 y (neg.f64 (*.f64 (/.f64 t 3) (/.f64 z 1))))) (cos.f64 (fma.f64 (neg.f64 (/.f64 t 3)) (/.f64 z 1) (*.f64 (/.f64 t 3) (/.f64 z 1))))) (*.f64 (sin.f64 (fma.f64 1 y (neg.f64 (*.f64 (/.f64 t 3) (/.f64 z 1))))) (sin.f64 (fma.f64 (neg.f64 (/.f64 t 3)) (/.f64 z 1) (*.f64 (/.f64 t 3) (/.f64 z 1)))))))
1.0ms
(sin.f64 (fma.f64 1 y (neg.f64 (*.f64 (/.f64 t 3) (/.f64 z 1)))))
1.0ms
(cos.f64 (fma.f64 1 y (neg.f64 (*.f64 (/.f64 t 3) (/.f64 z 1)))))
1.0ms
(fma.f64 (neg.f64 (/.f64 t 3)) (/.f64 z 1) (*.f64 (/.f64 t 3) (/.f64 z 1)))

simplify198.0ms (0.8%)

Algorithm
egg-herbie
Rules
822×fma-def_binary64
650×cancel-sign-sub-inv_binary64
429×fma-neg_binary64
362×associate-*r*_binary64
331×distribute-rgt-neg-in_binary64
Counts
192 → 161
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
02586434
17404998
224553887
346823193
444993193
548293193

prune1.0s (4%)

Pruning

37 alts after pruning (37 fresh and 0 done)

PrunedKeptTotal
New16416180
Fresh52126
Picked101
Done000
Total17037207
Error
9.6b
Counts
207 → 37
Alt Table
StatusErrorProgram
18.1b
(-.f64 (*.f64 (*.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (*.f64 (/.f64 z (sqrt.f64 3)) (/.f64 t (sqrt.f64 3)))))) (/.f64 a (*.f64 b 3)))
18.2b
(-.f64 (*.f64 (*.f64 (*.f64 2 (sqrt.f64 x)) (*.f64 (cbrt.f64 (cos.f64 (-.f64 y (/.f64 (*.f64 z t) 3)))) (cbrt.f64 (cos.f64 (-.f64 y (/.f64 (*.f64 z t) 3)))))) (cbrt.f64 (cos.f64 (-.f64 y (/.f64 (*.f64 z t) 3))))) (/.f64 a (*.f64 b 3)))
18.0b
(-.f64 (*.f64 (*.f64 2 (sqrt.f64 x)) (-.f64 (*.f64 (cos.f64 (fma.f64 1 y (neg.f64 (*.f64 (/.f64 t 3) (/.f64 z 1))))) (cos.f64 (fma.f64 (neg.f64 (/.f64 t 3)) (/.f64 z 1) (*.f64 (/.f64 t 3) (/.f64 z 1))))) (*.f64 (sin.f64 (fma.f64 1 y (neg.f64 (*.f64 (/.f64 t 3) (/.f64 z 1))))) (sin.f64 0)))) (/.f64 a (*.f64 b 3)))
18.1b
(-.f64 (*.f64 (*.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (*.f64 (*.f64 (cbrt.f64 (/.f64 (*.f64 z t) 3)) (cbrt.f64 (/.f64 (*.f64 z t) 3))) (cbrt.f64 (/.f64 (*.f64 z t) 3)))))) (/.f64 a (*.f64 b 3)))
50.1b
(-.f64 (*.f64 (*.f64 2 (sqrt.f64 x)) (-.f64 (*.f64 (cos.f64 (fma.f64 (sqrt.f64 y) (sqrt.f64 y) (neg.f64 (*.f64 (sqrt.f64 (/.f64 (*.f64 z t) 3)) (sqrt.f64 (/.f64 (*.f64 z t) 3)))))) (cos.f64 (fma.f64 (neg.f64 (sqrt.f64 (/.f64 (*.f64 z t) 3))) (sqrt.f64 (/.f64 (*.f64 z t) 3)) (*.f64 (sqrt.f64 (/.f64 (*.f64 z t) 3)) (sqrt.f64 (/.f64 (*.f64 z t) 3)))))) (*.f64 (sin.f64 (fma.f64 (sqrt.f64 y) (sqrt.f64 y) (neg.f64 (*.f64 (sqrt.f64 (/.f64 (*.f64 z t) 3)) (sqrt.f64 (/.f64 (*.f64 z t) 3)))))) (sin.f64 (fma.f64 (neg.f64 (sqrt.f64 (/.f64 (*.f64 z t) 3))) (sqrt.f64 (/.f64 (*.f64 z t) 3)) (*.f64 (sqrt.f64 (/.f64 (*.f64 z t) 3)) (sqrt.f64 (/.f64 (*.f64 z t) 3)))))))) (/.f64 a (*.f64 b 3)))
17.7b
(-.f64 (*.f64 (*.f64 2 (sqrt.f64 x)) (-.f64 (*.f64 (cos.f64 y) (cos.f64 (*.f64 (/.f64 t (sqrt.f64 3)) (/.f64 z (sqrt.f64 3))))) (*.f64 (sin.f64 y) (sin.f64 (neg.f64 (*.f64 (/.f64 t (sqrt.f64 3)) (/.f64 z (sqrt.f64 3)))))))) (/.f64 a (*.f64 b 3)))
15.1b
(-.f64 (*.f64 (*.f64 2 (sqrt.f64 x)) (cos.f64 y)) (/.f64 a (*.f64 b 3)))
15.0b
(-.f64 (*.f64 (*.f64 2 (sqrt.f64 x)) (-.f64 (*.f64 (log1p.f64 (expm1.f64 (cos.f64 (-.f64 y (*.f64 z (/.f64 t 3)))))) (cos.f64 (fma.f64 (neg.f64 (/.f64 t 3)) (/.f64 z 1) (*.f64 (/.f64 t 3) (/.f64 z 1))))) (*.f64 (sin.f64 (fma.f64 1 y (neg.f64 (*.f64 (/.f64 t 3) (/.f64 z 1))))) (sin.f64 (fma.f64 (neg.f64 (/.f64 t 3)) (/.f64 z 1) (*.f64 (/.f64 t 3) (/.f64 z 1))))))) (/.f64 a (*.f64 b 3)))
18.1b
(fma.f64 a (/.f64 -1/3 b) (*.f64 (*.f64 2 (sqrt.f64 x)) (cos.f64 (fma.f64 z (*.f64 t -1/3) y))))
53.0b
(-.f64 (*.f64 (*.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (exp.f64 (-.f64 (+.f64 (log.f64 z) (log.f64 t)) (log.f64 3)))))) (/.f64 a (*.f64 b 3)))
17.7b
(-.f64 (*.f64 (*.f64 2 (sqrt.f64 x)) (-.f64 (*.f64 (cos.f64 y) (cos.f64 (*.f64 (/.f64 t (cbrt.f64 3)) (/.f64 z (*.f64 (cbrt.f64 3) (cbrt.f64 3)))))) (*.f64 (sin.f64 y) (sin.f64 (neg.f64 (*.f64 (/.f64 t (cbrt.f64 3)) (/.f64 z (*.f64 (cbrt.f64 3) (cbrt.f64 3))))))))) (/.f64 a (*.f64 b 3)))
18.1b
(-.f64 (/.f64 (*.f64 (cos.f64 (-.f64 y (*.f64 z (/.f64 t 3)))) (*.f64 (cos.f64 (-.f64 y (*.f64 z (/.f64 t 3)))) (*.f64 2 (sqrt.f64 x)))) (+.f64 (*.f64 (cos.f64 (fma.f64 1 y (neg.f64 (*.f64 (/.f64 t 3) (/.f64 z 1))))) (cos.f64 (fma.f64 (neg.f64 (/.f64 t 3)) (/.f64 z 1) (*.f64 (/.f64 t 3) (/.f64 z 1))))) (*.f64 (sin.f64 (fma.f64 1 y (neg.f64 (*.f64 (/.f64 t 3) (/.f64 z 1))))) (sin.f64 (fma.f64 (neg.f64 (/.f64 t 3)) (/.f64 z 1) (*.f64 (/.f64 t 3) (/.f64 z 1))))))) (/.f64 a (*.f64 b 3)))
15.0b
(-.f64 (*.f64 (*.f64 2 (sqrt.f64 x)) (-.f64 (*.f64 (cos.f64 (fma.f64 1 y (neg.f64 (*.f64 (/.f64 t 3) (/.f64 z 1))))) (cos.f64 (fma.f64 (neg.f64 (/.f64 t 3)) (/.f64 z 1) (*.f64 (/.f64 t 3) (/.f64 z 1))))) (*.f64 (cbrt.f64 (pow.f64 (sin.f64 (-.f64 y (*.f64 z (/.f64 t 3)))) 3)) (sin.f64 (fma.f64 (neg.f64 (/.f64 t 3)) (/.f64 z 1) (*.f64 (/.f64 t 3) (/.f64 z 1))))))) (/.f64 a (*.f64 b 3)))
17.1b
(-.f64 (*.f64 (*.f64 2 (sqrt.f64 x)) (-.f64 (*.f64 (cos.f64 (fma.f64 1 y (neg.f64 (*.f64 (/.f64 t 3) (/.f64 z 1))))) (cos.f64 (*.f64 (*.f64 (cbrt.f64 (fma.f64 (neg.f64 (/.f64 t 3)) (/.f64 z 1) (*.f64 (/.f64 t 3) (/.f64 z 1)))) (cbrt.f64 (fma.f64 (neg.f64 (/.f64 t 3)) (/.f64 z 1) (*.f64 (/.f64 t 3) (/.f64 z 1))))) (cbrt.f64 (fma.f64 (neg.f64 (/.f64 t 3)) (/.f64 z 1) (*.f64 (/.f64 t 3) (/.f64 z 1))))))) (*.f64 (sin.f64 (fma.f64 1 y (neg.f64 (*.f64 (/.f64 t 3) (/.f64 z 1))))) (sin.f64 (fma.f64 (neg.f64 (/.f64 t 3)) (/.f64 z 1) (*.f64 (/.f64 t 3) (/.f64 z 1))))))) (/.f64 a (*.f64 b 3)))
15.0b
(-.f64 (/.f64 (*.f64 (*.f64 2 (sqrt.f64 x)) (-.f64 (*.f64 (*.f64 (cos.f64 (fma.f64 1 y (neg.f64 (*.f64 (/.f64 t 3) (/.f64 z 1))))) (cos.f64 (fma.f64 (neg.f64 (/.f64 t 3)) (/.f64 z 1) (*.f64 (/.f64 t 3) (/.f64 z 1))))) (*.f64 (cos.f64 (fma.f64 1 y (neg.f64 (*.f64 (/.f64 t 3) (/.f64 z 1))))) (cos.f64 (fma.f64 (neg.f64 (/.f64 t 3)) (/.f64 z 1) (*.f64 (/.f64 t 3) (/.f64 z 1)))))) (*.f64 (*.f64 (sin.f64 (fma.f64 1 y (neg.f64 (*.f64 (/.f64 t 3) (/.f64 z 1))))) (sin.f64 (fma.f64 (neg.f64 (/.f64 t 3)) (/.f64 z 1) (*.f64 (/.f64 t 3) (/.f64 z 1))))) (*.f64 (sin.f64 (fma.f64 1 y (neg.f64 (*.f64 (/.f64 t 3) (/.f64 z 1))))) (sin.f64 (fma.f64 (neg.f64 (/.f64 t 3)) (/.f64 z 1) (*.f64 (/.f64 t 3) (/.f64 z 1)))))))) (+.f64 (*.f64 (cos.f64 (fma.f64 1 y (neg.f64 (*.f64 (/.f64 t 3) (/.f64 z 1))))) (cos.f64 (fma.f64 (neg.f64 (/.f64 t 3)) (/.f64 z 1) (*.f64 (/.f64 t 3) (/.f64 z 1))))) (*.f64 (sin.f64 (fma.f64 1 y (neg.f64 (*.f64 (/.f64 t 3) (/.f64 z 1))))) (sin.f64 (fma.f64 (neg.f64 (/.f64 t 3)) (/.f64 z 1) (*.f64 (/.f64 t 3) (/.f64 z 1))))))) (/.f64 a (*.f64 b 3)))
18.0b
(-.f64 (*.f64 (*.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (/.f64 (*.f64 z t) 3)))) (/.f64 (/.f64 a b) 3))
18.0b
(-.f64 (*.f64 (*.f64 2 (sqrt.f64 x)) (-.f64 (*.f64 (cos.f64 y) (cos.f64 (*.f64 (neg.f64 (*.f64 (cbrt.f64 (/.f64 (*.f64 z t) 3)) (cbrt.f64 (/.f64 (*.f64 z t) 3)))) (cbrt.f64 (/.f64 (*.f64 z t) 3))))) (*.f64 (sin.f64 y) (sin.f64 (*.f64 (neg.f64 (*.f64 (cbrt.f64 (/.f64 (*.f64 z t) 3)) (cbrt.f64 (/.f64 (*.f64 z t) 3)))) (cbrt.f64 (/.f64 (*.f64 z t) 3))))))) (/.f64 a (*.f64 b 3)))
15.0b
(-.f64 (+.f64 (*.f64 (*.f64 (cos.f64 (fma.f64 1 y (neg.f64 (*.f64 (/.f64 t 3) (/.f64 z 1))))) (cos.f64 (fma.f64 (neg.f64 (/.f64 t 3)) (/.f64 z 1) (*.f64 (/.f64 t 3) (/.f64 z 1))))) (*.f64 2 (sqrt.f64 x))) (*.f64 (neg.f64 (*.f64 (sin.f64 (fma.f64 1 y (neg.f64 (*.f64 (/.f64 t 3) (/.f64 z 1))))) (sin.f64 (fma.f64 (neg.f64 (/.f64 t 3)) (/.f64 z 1) (*.f64 (/.f64 t 3) (/.f64 z 1)))))) (*.f64 2 (sqrt.f64 x)))) (/.f64 a (*.f64 b 3)))
17.2b
(-.f64 (*.f64 (*.f64 2 (sqrt.f64 x)) (-.f64 (*.f64 (cos.f64 (fma.f64 1 y (neg.f64 (*.f64 (/.f64 t 3) (/.f64 z 1))))) (cos.f64 (fma.f64 (neg.f64 (/.f64 t 3)) (/.f64 z 1) (*.f64 (/.f64 t 3) (/.f64 z 1))))) (*.f64 (sin.f64 (fma.f64 1 y (neg.f64 (*.f64 (/.f64 t 3) (/.f64 z 1))))) (sin.f64 (*.f64 (*.f64 (cbrt.f64 (fma.f64 (neg.f64 (/.f64 t 3)) (/.f64 z 1) (*.f64 (/.f64 t 3) (/.f64 z 1)))) (cbrt.f64 (fma.f64 (neg.f64 (/.f64 t 3)) (/.f64 z 1) (*.f64 (/.f64 t 3) (/.f64 z 1))))) (cbrt.f64 (fma.f64 (neg.f64 (/.f64 t 3)) (/.f64 z 1) (*.f64 (/.f64 t 3) (/.f64 z 1))))))))) (/.f64 a (*.f64 b 3)))
18.1b
(-.f64 (*.f64 (*.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (/.f64 (*.f64 z t) 3)))) (/.f64 1 (/.f64 (*.f64 b 3) a)))
18.1b
(-.f64 (*.f64 (*.f64 2 (sqrt.f64 x)) (-.f64 (*.f64 (cos.f64 (fma.f64 1 y (neg.f64 (*.f64 (/.f64 1 3) (*.f64 z t))))) (cos.f64 (fma.f64 (neg.f64 (/.f64 1 3)) (*.f64 z t) (*.f64 (/.f64 1 3) (*.f64 z t))))) (*.f64 (sin.f64 (fma.f64 1 y (neg.f64 (*.f64 (/.f64 1 3) (*.f64 z t))))) (sin.f64 (fma.f64 (neg.f64 (/.f64 1 3)) (*.f64 z t) (*.f64 (/.f64 1 3) (*.f64 z t))))))) (/.f64 a (*.f64 b 3)))
27.5b
(-.f64 (*.f64 (*.f64 2 (sqrt.f64 x)) (cos.f64 (*.f64 1/3 (*.f64 t z)))) (/.f64 a (*.f64 b 3)))
18.1b
(-.f64 (*.f64 (*.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (/.f64 (*.f64 z t) 3)))) (*.f64 (/.f64 1 b) (/.f64 a 3)))
30.6b
(-.f64 (*.f64 (sqrt.f64 (*.f64 (*.f64 2 (sqrt.f64 x)) (-.f64 (*.f64 (cos.f64 (fma.f64 1 y (neg.f64 (*.f64 (/.f64 t 3) (/.f64 z 1))))) (cos.f64 (fma.f64 (neg.f64 (/.f64 t 3)) (/.f64 z 1) (*.f64 (/.f64 t 3) (/.f64 z 1))))) (*.f64 (sin.f64 (fma.f64 1 y (neg.f64 (*.f64 (/.f64 t 3) (/.f64 z 1))))) (sin.f64 (fma.f64 (neg.f64 (/.f64 t 3)) (/.f64 z 1) (*.f64 (/.f64 t 3) (/.f64 z 1)))))))) (sqrt.f64 (*.f64 (*.f64 2 (sqrt.f64 x)) (-.f64 (*.f64 (cos.f64 (fma.f64 1 y (neg.f64 (*.f64 (/.f64 t 3) (/.f64 z 1))))) (cos.f64 (fma.f64 (neg.f64 (/.f64 t 3)) (/.f64 z 1) (*.f64 (/.f64 t 3) (/.f64 z 1))))) (*.f64 (sin.f64 (fma.f64 1 y (neg.f64 (*.f64 (/.f64 t 3) (/.f64 z 1))))) (sin.f64 (fma.f64 (neg.f64 (/.f64 t 3)) (/.f64 z 1) (*.f64 (/.f64 t 3) (/.f64 z 1))))))))) (/.f64 a (*.f64 b 3)))
14.9b
(-.f64 (*.f64 (*.f64 2 (sqrt.f64 x)) (-.f64 (*.f64 (cos.f64 (fma.f64 1 y (neg.f64 (*.f64 (/.f64 t 3) (/.f64 z 1))))) (cos.f64 (fma.f64 (neg.f64 (/.f64 t 3)) (/.f64 z 1) (*.f64 (/.f64 t 3) (/.f64 z 1))))) (*.f64 (+.f64 (*.f64 (sin.f64 y) (cos.f64 (*.f64 z (/.f64 t 3)))) (*.f64 (cos.f64 y) (sin.f64 (*.f64 z (neg.f64 (/.f64 t 3)))))) (sin.f64 (fma.f64 (neg.f64 (/.f64 t 3)) (/.f64 z 1) (*.f64 (/.f64 t 3) (/.f64 z 1))))))) (/.f64 a (*.f64 b 3)))
17.9b
(-.f64 (*.f64 (*.f64 2 (sqrt.f64 x)) (-.f64 (*.f64 (cos.f64 (fma.f64 1 y (neg.f64 (*.f64 (/.f64 t (sqrt.f64 3)) (/.f64 z (sqrt.f64 3)))))) (cos.f64 (fma.f64 (neg.f64 (/.f64 t (sqrt.f64 3))) (/.f64 z (sqrt.f64 3)) (*.f64 (/.f64 t (sqrt.f64 3)) (/.f64 z (sqrt.f64 3)))))) (*.f64 (sin.f64 (fma.f64 1 y (neg.f64 (*.f64 (/.f64 t (sqrt.f64 3)) (/.f64 z (sqrt.f64 3)))))) (sin.f64 (fma.f64 (neg.f64 (/.f64 t (sqrt.f64 3))) (/.f64 z (sqrt.f64 3)) (*.f64 (/.f64 t (sqrt.f64 3)) (/.f64 z (sqrt.f64 3)))))))) (/.f64 a (*.f64 b 3)))
26.1b
(-.f64 (cbrt.f64 (*.f64 (*.f64 (*.f64 (*.f64 2 (sqrt.f64 x)) (*.f64 2 (sqrt.f64 x))) (*.f64 2 (sqrt.f64 x))) (*.f64 (*.f64 (-.f64 (*.f64 (cos.f64 (fma.f64 1 y (neg.f64 (*.f64 (/.f64 t 3) (/.f64 z 1))))) (cos.f64 (fma.f64 (neg.f64 (/.f64 t 3)) (/.f64 z 1) (*.f64 (/.f64 t 3) (/.f64 z 1))))) (*.f64 (sin.f64 (fma.f64 1 y (neg.f64 (*.f64 (/.f64 t 3) (/.f64 z 1))))) (sin.f64 (fma.f64 (neg.f64 (/.f64 t 3)) (/.f64 z 1) (*.f64 (/.f64 t 3) (/.f64 z 1)))))) (-.f64 (*.f64 (cos.f64 (fma.f64 1 y (neg.f64 (*.f64 (/.f64 t 3) (/.f64 z 1))))) (cos.f64 (fma.f64 (neg.f64 (/.f64 t 3)) (/.f64 z 1) (*.f64 (/.f64 t 3) (/.f64 z 1))))) (*.f64 (sin.f64 (fma.f64 1 y (neg.f64 (*.f64 (/.f64 t 3) (/.f64 z 1))))) (sin.f64 (fma.f64 (neg.f64 (/.f64 t 3)) (/.f64 z 1) (*.f64 (/.f64 t 3) (/.f64 z 1))))))) (-.f64 (*.f64 (cos.f64 (fma.f64 1 y (neg.f64 (*.f64 (/.f64 t 3) (/.f64 z 1))))) (cos.f64 (fma.f64 (neg.f64 (/.f64 t 3)) (/.f64 z 1) (*.f64 (/.f64 t 3) (/.f64 z 1))))) (*.f64 (sin.f64 (fma.f64 1 y (neg.f64 (*.f64 (/.f64 t 3) (/.f64 z 1))))) (sin.f64 (fma.f64 (neg.f64 (/.f64 t 3)) (/.f64 z 1) (*.f64 (/.f64 t 3) (/.f64 z 1))))))))) (/.f64 a (*.f64 b 3)))
22.8b
(-.f64 (*.f64 (*.f64 2 (sqrt.f64 x)) (-.f64 (*.f64 (cos.f64 (fma.f64 1 y (neg.f64 (*.f64 (/.f64 t 3) (/.f64 z 1))))) (cos.f64 (expm1.f64 (log1p.f64 (fma.f64 (neg.f64 (/.f64 t 3)) (/.f64 z 1) (*.f64 (/.f64 t 3) (/.f64 z 1))))))) (*.f64 (sin.f64 (fma.f64 1 y (neg.f64 (*.f64 (/.f64 t 3) (/.f64 z 1))))) (sin.f64 (fma.f64 (neg.f64 (/.f64 t 3)) (/.f64 z 1) (*.f64 (/.f64 t 3) (/.f64 z 1))))))) (/.f64 a (*.f64 b 3)))
18.4b
(-.f64 (*.f64 (*.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (/.f64 (*.f64 z t) 3)))) (*.f64 (*.f64 (cbrt.f64 (/.f64 a (*.f64 b 3))) (cbrt.f64 (/.f64 a (*.f64 b 3)))) (cbrt.f64 (/.f64 a (*.f64 b 3)))))
17.9b
(-.f64 (*.f64 (*.f64 2 (sqrt.f64 x)) (-.f64 (*.f64 (cos.f64 (fma.f64 1 y (neg.f64 (*.f64 (/.f64 t (cbrt.f64 3)) (/.f64 z (*.f64 (cbrt.f64 3) (cbrt.f64 3))))))) (cos.f64 (fma.f64 (neg.f64 (/.f64 t (cbrt.f64 3))) (/.f64 z (*.f64 (cbrt.f64 3) (cbrt.f64 3))) (*.f64 (/.f64 t (cbrt.f64 3)) (/.f64 z (*.f64 (cbrt.f64 3) (cbrt.f64 3))))))) (*.f64 (sin.f64 (fma.f64 1 y (neg.f64 (*.f64 (/.f64 t (cbrt.f64 3)) (/.f64 z (*.f64 (cbrt.f64 3) (cbrt.f64 3))))))) (sin.f64 (fma.f64 (neg.f64 (/.f64 t (cbrt.f64 3))) (/.f64 z (*.f64 (cbrt.f64 3) (cbrt.f64 3))) (*.f64 (/.f64 t (cbrt.f64 3)) (/.f64 z (*.f64 (cbrt.f64 3) (cbrt.f64 3))))))))) (/.f64 a (*.f64 b 3)))
18.1b
(-.f64 (*.f64 (*.f64 2 (sqrt.f64 x)) (expm1.f64 (log1p.f64 (cos.f64 (-.f64 y (/.f64 (*.f64 z t) 3)))))) (/.f64 a (*.f64 b 3)))
25.5b
(-.f64 (*.f64 (*.f64 2 (sqrt.f64 x)) (-.f64 (*.f64 (cos.f64 (*.f64 1/3 (*.f64 t z))) (cos.f64 (fma.f64 (neg.f64 (/.f64 t 3)) (/.f64 z 1) (*.f64 (/.f64 t 3) (/.f64 z 1))))) (*.f64 (sin.f64 (fma.f64 1 y (neg.f64 (*.f64 (/.f64 t 3) (/.f64 z 1))))) (sin.f64 (fma.f64 (neg.f64 (/.f64 t 3)) (/.f64 z 1) (*.f64 (/.f64 t 3) (/.f64 z 1))))))) (/.f64 a (*.f64 b 3)))
34.8b
(-.f64 (*.f64 (*.f64 2 (sqrt.f64 x)) (-.f64 (*.f64 (cos.f64 (fma.f64 1 y (neg.f64 (*.f64 (sqrt.f64 (/.f64 (*.f64 z t) 3)) (sqrt.f64 (/.f64 (*.f64 z t) 3)))))) (cos.f64 (fma.f64 (neg.f64 (sqrt.f64 (/.f64 (*.f64 z t) 3))) (sqrt.f64 (/.f64 (*.f64 z t) 3)) (*.f64 (sqrt.f64 (/.f64 (*.f64 z t) 3)) (sqrt.f64 (/.f64 (*.f64 z t) 3)))))) (*.f64 (sin.f64 (fma.f64 1 y (neg.f64 (*.f64 (sqrt.f64 (/.f64 (*.f64 z t) 3)) (sqrt.f64 (/.f64 (*.f64 z t) 3)))))) (sin.f64 (fma.f64 (neg.f64 (sqrt.f64 (/.f64 (*.f64 z t) 3))) (sqrt.f64 (/.f64 (*.f64 z t) 3)) (*.f64 (sqrt.f64 (/.f64 (*.f64 z t) 3)) (sqrt.f64 (/.f64 (*.f64 z t) 3)))))))) (/.f64 a (*.f64 b 3)))
26.1b
(-.f64 (cbrt.f64 (*.f64 (*.f64 (*.f64 (*.f64 2 (sqrt.f64 x)) (-.f64 (*.f64 (cos.f64 (fma.f64 1 y (neg.f64 (*.f64 (/.f64 t 3) (/.f64 z 1))))) (cos.f64 (fma.f64 (neg.f64 (/.f64 t 3)) (/.f64 z 1) (*.f64 (/.f64 t 3) (/.f64 z 1))))) (*.f64 (sin.f64 (fma.f64 1 y (neg.f64 (*.f64 (/.f64 t 3) (/.f64 z 1))))) (sin.f64 (fma.f64 (neg.f64 (/.f64 t 3)) (/.f64 z 1) (*.f64 (/.f64 t 3) (/.f64 z 1))))))) (*.f64 (*.f64 2 (sqrt.f64 x)) (-.f64 (*.f64 (cos.f64 (fma.f64 1 y (neg.f64 (*.f64 (/.f64 t 3) (/.f64 z 1))))) (cos.f64 (fma.f64 (neg.f64 (/.f64 t 3)) (/.f64 z 1) (*.f64 (/.f64 t 3) (/.f64 z 1))))) (*.f64 (sin.f64 (fma.f64 1 y (neg.f64 (*.f64 (/.f64 t 3) (/.f64 z 1))))) (sin.f64 (fma.f64 (neg.f64 (/.f64 t 3)) (/.f64 z 1) (*.f64 (/.f64 t 3) (/.f64 z 1)))))))) (*.f64 (*.f64 2 (sqrt.f64 x)) (-.f64 (*.f64 (cos.f64 (fma.f64 1 y (neg.f64 (*.f64 (/.f64 t 3) (/.f64 z 1))))) (cos.f64 (fma.f64 (neg.f64 (/.f64 t 3)) (/.f64 z 1) (*.f64 (/.f64 t 3) (/.f64 z 1))))) (*.f64 (sin.f64 (fma.f64 1 y (neg.f64 (*.f64 (/.f64 t 3) (/.f64 z 1))))) (sin.f64 (fma.f64 (neg.f64 (/.f64 t 3)) (/.f64 z 1) (*.f64 (/.f64 t 3) (/.f64 z 1))))))))) (/.f64 a (*.f64 b 3)))
18.2b
(-.f64 (*.f64 (*.f64 2 (sqrt.f64 x)) (log.f64 (exp.f64 (cos.f64 (-.f64 y (/.f64 (*.f64 z t) 3)))))) (/.f64 a (*.f64 b 3)))
14.5b
(-.f64 (*.f64 (*.f64 2 (sqrt.f64 x)) (-.f64 (*.f64 (-.f64 (*.f64 (cos.f64 y) (cos.f64 (*.f64 z (/.f64 t 3)))) (*.f64 (sin.f64 y) (sin.f64 (*.f64 z (neg.f64 (/.f64 t 3)))))) (cos.f64 (fma.f64 (neg.f64 (/.f64 t 3)) (/.f64 z 1) (*.f64 (/.f64 t 3) (/.f64 z 1))))) (*.f64 (sin.f64 (fma.f64 1 y (neg.f64 (*.f64 (/.f64 t 3) (/.f64 z 1))))) (sin.f64 (fma.f64 (neg.f64 (/.f64 t 3)) (/.f64 z 1) (*.f64 (/.f64 t 3) (/.f64 z 1))))))) (/.f64 a (*.f64 b 3)))
22.4b
(-.f64 (expm1.f64 (log1p.f64 (*.f64 (*.f64 2 (sqrt.f64 x)) (-.f64 (*.f64 (cos.f64 (fma.f64 1 y (neg.f64 (*.f64 (/.f64 t 3) (/.f64 z 1))))) (cos.f64 (fma.f64 (neg.f64 (/.f64 t 3)) (/.f64 z 1) (*.f64 (/.f64 t 3) (/.f64 z 1))))) (*.f64 (sin.f64 (fma.f64 1 y (neg.f64 (*.f64 (/.f64 t 3) (/.f64 z 1))))) (sin.f64 (fma.f64 (neg.f64 (/.f64 t 3)) (/.f64 z 1) (*.f64 (/.f64 t 3) (/.f64 z 1))))))))) (/.f64 a (*.f64 b 3)))
Compiler

Compiled 19155 to 14026 computations (26.8% saved)

localize37.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
21.8b
(sin.f64 (fma.f64 1 y (neg.f64 (*.f64 (/.f64 t 3) (/.f64 z 1)))))
25.3b
(cos.f64 (*.f64 z (/.f64 t 3)))
25.5b
(sin.f64 (*.f64 z (neg.f64 (/.f64 t 3))))
53.9b
(fma.f64 (neg.f64 (/.f64 t 3)) (/.f64 z 1) (*.f64 (/.f64 t 3) (/.f64 z 1)))

series12.0ms (0%)

Counts
2 → 48
Calls

2 calls:

6.0ms
(cos.f64 (*.f64 z (/.f64 t 3)))
6.0ms
(sin.f64 (*.f64 z (neg.f64 (/.f64 t 3))))

rewrite3.0ms (0%)

Algorithm
rewrite-expression-head
Rules
*-un-lft-identity_binary64
add-sqr-sqrt_binary64
add-cube-cbrt_binary64
add-cbrt-cube_binary64
add-exp-log_binary64
Counts
2 → 19
Calls

2 calls:

1.0ms
(sin.f64 (*.f64 z (neg.f64 (/.f64 t 3))))
1.0ms
(cos.f64 (*.f64 z (/.f64 t 3)))

simplify68.0ms (0.3%)

Algorithm
egg-herbie
Rules
704×fma-neg_binary64
453×distribute-rgt-neg-in_binary64
441×distribute-lft-neg-in_binary64
407×associate-*r*_binary64
387×associate-*l*_binary64
Counts
67 → 44
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
082993
1198939
2561923
32243903
44650885
55164885

prune1.1s (4.2%)

Pruning

34 alts after pruning (34 fresh and 0 done)

PrunedKeptTotal
New1174121
Fresh63036
Picked101
Done000
Total12434158
Error
7.8b
Counts
158 → 34
Alt Table
StatusErrorProgram
18.1b
(-.f64 (*.f64 (*.f64 2 (sqrt.f64 x)) (-.f64 (*.f64 (-.f64 (*.f64 (cos.f64 y) 1) (*.f64 (sin.f64 y) (sin.f64 (*.f64 z (neg.f64 (/.f64 t 3)))))) (cos.f64 (fma.f64 (neg.f64 (/.f64 t 3)) (/.f64 z 1) (*.f64 (/.f64 t 3) (/.f64 z 1))))) (*.f64 (sin.f64 (fma.f64 1 y (neg.f64 (*.f64 (/.f64 t 3) (/.f64 z 1))))) (sin.f64 (fma.f64 (neg.f64 (/.f64 t 3)) (/.f64 z 1) (*.f64 (/.f64 t 3) (/.f64 z 1))))))) (/.f64 a (*.f64 b 3)))
18.2b
(-.f64 (*.f64 (*.f64 2 (sqrt.f64 x)) (log.f64 (exp.f64 (cos.f64 (-.f64 y (/.f64 (*.f64 z t) 3)))))) (/.f64 a (*.f64 b 3)))
17.7b
(-.f64 (*.f64 (*.f64 2 (sqrt.f64 x)) (-.f64 (*.f64 (cos.f64 y) (cos.f64 (*.f64 (/.f64 t (sqrt.f64 3)) (/.f64 z (sqrt.f64 3))))) (*.f64 (sin.f64 y) (sin.f64 (neg.f64 (*.f64 (/.f64 t (sqrt.f64 3)) (/.f64 z (sqrt.f64 3)))))))) (/.f64 a (*.f64 b 3)))
15.1b
(-.f64 (*.f64 (*.f64 2 (sqrt.f64 x)) (cos.f64 y)) (/.f64 a (*.f64 b 3)))
15.0b
(-.f64 (*.f64 (*.f64 2 (sqrt.f64 x)) (-.f64 (*.f64 (log1p.f64 (expm1.f64 (cos.f64 (-.f64 y (*.f64 z (/.f64 t 3)))))) (cos.f64 (fma.f64 (neg.f64 (/.f64 t 3)) (/.f64 z 1) (*.f64 (/.f64 t 3) (/.f64 z 1))))) (*.f64 (sin.f64 (fma.f64 1 y (neg.f64 (*.f64 (/.f64 t 3) (/.f64 z 1))))) (sin.f64 (fma.f64 (neg.f64 (/.f64 t 3)) (/.f64 z 1) (*.f64 (/.f64 t 3) (/.f64 z 1))))))) (/.f64 a (*.f64 b 3)))
18.1b
(fma.f64 a (/.f64 -1/3 b) (*.f64 (*.f64 2 (sqrt.f64 x)) (cos.f64 (fma.f64 z (*.f64 t -1/3) y))))
53.0b
(-.f64 (*.f64 (*.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (exp.f64 (-.f64 (+.f64 (log.f64 z) (log.f64 t)) (log.f64 3)))))) (/.f64 a (*.f64 b 3)))
15.0b
(-.f64 (*.f64 (*.f64 2 (sqrt.f64 x)) (-.f64 (*.f64 (cos.f64 (fma.f64 1 y (neg.f64 (*.f64 (/.f64 t 3) (/.f64 z 1))))) (cos.f64 (fma.f64 (neg.f64 (/.f64 t 3)) (/.f64 z 1) (*.f64 (/.f64 t 3) (/.f64 z 1))))) (*.f64 (cbrt.f64 (pow.f64 (sin.f64 (-.f64 y (*.f64 z (/.f64 t 3)))) 3)) (sin.f64 (fma.f64 (neg.f64 (/.f64 t 3)) (/.f64 z 1) (*.f64 (/.f64 t 3) (/.f64 z 1))))))) (/.f64 a (*.f64 b 3)))
12.4b
(-.f64 (*.f64 (*.f64 2 (sqrt.f64 x)) (-.f64 (*.f64 (-.f64 (*.f64 (cos.f64 y) (cos.f64 (*.f64 z (/.f64 t 3)))) (*.f64 (sin.f64 y) (sin.f64 (*.f64 z (neg.f64 (/.f64 t 3)))))) (cos.f64 (fma.f64 (neg.f64 (/.f64 t 3)) (/.f64 z 1) (*.f64 (/.f64 t 3) (/.f64 z 1))))) (*.f64 (+.f64 (*.f64 (sin.f64 y) (cos.f64 (*.f64 z (/.f64 t 3)))) (*.f64 (cos.f64 y) (sin.f64 (*.f64 z (neg.f64 (/.f64 t 3)))))) (sin.f64 (fma.f64 (neg.f64 (/.f64 t 3)) (/.f64 z 1) (*.f64 (/.f64 t 3) (/.f64 z 1))))))) (/.f64 a (*.f64 b 3)))
17.1b
(-.f64 (*.f64 (*.f64 2 (sqrt.f64 x)) (-.f64 (*.f64 (cos.f64 (fma.f64 1 y (neg.f64 (*.f64 (/.f64 t 3) (/.f64 z 1))))) (cos.f64 (*.f64 (*.f64 (cbrt.f64 (fma.f64 (neg.f64 (/.f64 t 3)) (/.f64 z 1) (*.f64 (/.f64 t 3) (/.f64 z 1)))) (cbrt.f64 (fma.f64 (neg.f64 (/.f64 t 3)) (/.f64 z 1) (*.f64 (/.f64 t 3) (/.f64 z 1))))) (cbrt.f64 (fma.f64 (neg.f64 (/.f64 t 3)) (/.f64 z 1) (*.f64 (/.f64 t 3) (/.f64 z 1))))))) (*.f64 (sin.f64 (fma.f64 1 y (neg.f64 (*.f64 (/.f64 t 3) (/.f64 z 1))))) (sin.f64 (fma.f64 (neg.f64 (/.f64 t 3)) (/.f64 z 1) (*.f64 (/.f64 t 3) (/.f64 z 1))))))) (/.f64 a (*.f64 b 3)))
15.0b
(-.f64 (/.f64 (*.f64 (*.f64 2 (sqrt.f64 x)) (-.f64 (*.f64 (*.f64 (cos.f64 (fma.f64 1 y (neg.f64 (*.f64 (/.f64 t 3) (/.f64 z 1))))) (cos.f64 (fma.f64 (neg.f64 (/.f64 t 3)) (/.f64 z 1) (*.f64 (/.f64 t 3) (/.f64 z 1))))) (*.f64 (cos.f64 (fma.f64 1 y (neg.f64 (*.f64 (/.f64 t 3) (/.f64 z 1))))) (cos.f64 (fma.f64 (neg.f64 (/.f64 t 3)) (/.f64 z 1) (*.f64 (/.f64 t 3) (/.f64 z 1)))))) (*.f64 (*.f64 (sin.f64 (fma.f64 1 y (neg.f64 (*.f64 (/.f64 t 3) (/.f64 z 1))))) (sin.f64 (fma.f64 (neg.f64 (/.f64 t 3)) (/.f64 z 1) (*.f64 (/.f64 t 3) (/.f64 z 1))))) (*.f64 (sin.f64 (fma.f64 1 y (neg.f64 (*.f64 (/.f64 t 3) (/.f64 z 1))))) (sin.f64 (fma.f64 (neg.f64 (/.f64 t 3)) (/.f64 z 1) (*.f64 (/.f64 t 3) (/.f64 z 1)))))))) (+.f64 (*.f64 (cos.f64 (fma.f64 1 y (neg.f64 (*.f64 (/.f64 t 3) (/.f64 z 1))))) (cos.f64 (fma.f64 (neg.f64 (/.f64 t 3)) (/.f64 z 1) (*.f64 (/.f64 t 3) (/.f64 z 1))))) (*.f64 (sin.f64 (fma.f64 1 y (neg.f64 (*.f64 (/.f64 t 3) (/.f64 z 1))))) (sin.f64 (fma.f64 (neg.f64 (/.f64 t 3)) (/.f64 z 1) (*.f64 (/.f64 t 3) (/.f64 z 1))))))) (/.f64 a (*.f64 b 3)))
14.5b
(-.f64 (*.f64 (*.f64 2 (sqrt.f64 x)) (-.f64 (*.f64 (-.f64 (*.f64 (cos.f64 y) (cos.f64 (*.f64 z (/.f64 t 3)))) (*.f64 (sin.f64 y) (sin.f64 (*.f64 z (neg.f64 (/.f64 t 3)))))) (cos.f64 (fma.f64 (neg.f64 (/.f64 t 3)) (/.f64 z 1) (*.f64 (/.f64 t 3) (/.f64 z 1))))) (*.f64 (log.f64 (exp.f64 (sin.f64 (-.f64 y (*.f64 z (/.f64 t 3)))))) (sin.f64 (fma.f64 (neg.f64 (/.f64 t 3)) (/.f64 z 1) (*.f64 (/.f64 t 3) (/.f64 z 1))))))) (/.f64 a (*.f64 b 3)))
18.0b
(-.f64 (*.f64 (*.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (/.f64 (*.f64 z t) 3)))) (/.f64 (/.f64 a b) 3))
18.0b
(-.f64 (*.f64 (*.f64 2 (sqrt.f64 x)) (-.f64 (*.f64 (cos.f64 y) (cos.f64 (*.f64 (neg.f64 (*.f64 (cbrt.f64 (/.f64 (*.f64 z t) 3)) (cbrt.f64 (/.f64 (*.f64 z t) 3)))) (cbrt.f64 (/.f64 (*.f64 z t) 3))))) (*.f64 (sin.f64 y) (sin.f64 (*.f64 (neg.f64 (*.f64 (cbrt.f64 (/.f64 (*.f64 z t) 3)) (cbrt.f64 (/.f64 (*.f64 z t) 3)))) (cbrt.f64 (/.f64 (*.f64 z t) 3))))))) (/.f64 a (*.f64 b 3)))
15.0b
(-.f64 (+.f64 (*.f64 (*.f64 (cos.f64 (fma.f64 1 y (neg.f64 (*.f64 (/.f64 t 3) (/.f64 z 1))))) (cos.f64 (fma.f64 (neg.f64 (/.f64 t 3)) (/.f64 z 1) (*.f64 (/.f64 t 3) (/.f64 z 1))))) (*.f64 2 (sqrt.f64 x))) (*.f64 (neg.f64 (*.f64 (sin.f64 (fma.f64 1 y (neg.f64 (*.f64 (/.f64 t 3) (/.f64 z 1))))) (sin.f64 (fma.f64 (neg.f64 (/.f64 t 3)) (/.f64 z 1) (*.f64 (/.f64 t 3) (/.f64 z 1)))))) (*.f64 2 (sqrt.f64 x)))) (/.f64 a (*.f64 b 3)))
17.2b
(-.f64 (*.f64 (*.f64 2 (sqrt.f64 x)) (-.f64 (*.f64 (cos.f64 (fma.f64 1 y (neg.f64 (*.f64 (/.f64 t 3) (/.f64 z 1))))) (cos.f64 (fma.f64 (neg.f64 (/.f64 t 3)) (/.f64 z 1) (*.f64 (/.f64 t 3) (/.f64 z 1))))) (*.f64 (sin.f64 (fma.f64 1 y (neg.f64 (*.f64 (/.f64 t 3) (/.f64 z 1))))) (sin.f64 (*.f64 (*.f64 (cbrt.f64 (fma.f64 (neg.f64 (/.f64 t 3)) (/.f64 z 1) (*.f64 (/.f64 t 3) (/.f64 z 1)))) (cbrt.f64 (fma.f64 (neg.f64 (/.f64 t 3)) (/.f64 z 1) (*.f64 (/.f64 t 3) (/.f64 z 1))))) (cbrt.f64 (fma.f64 (neg.f64 (/.f64 t 3)) (/.f64 z 1) (*.f64 (/.f64 t 3) (/.f64 z 1))))))))) (/.f64 a (*.f64 b 3)))
18.1b
(-.f64 (*.f64 (*.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (/.f64 (*.f64 z t) 3)))) (/.f64 1 (/.f64 (*.f64 b 3) a)))
18.1b
(-.f64 (*.f64 (*.f64 2 (sqrt.f64 x)) (-.f64 (*.f64 (cos.f64 (fma.f64 1 y (neg.f64 (*.f64 (/.f64 1 3) (*.f64 z t))))) (cos.f64 (fma.f64 (neg.f64 (/.f64 1 3)) (*.f64 z t) (*.f64 (/.f64 1 3) (*.f64 z t))))) (*.f64 (sin.f64 (fma.f64 1 y (neg.f64 (*.f64 (/.f64 1 3) (*.f64 z t))))) (sin.f64 (fma.f64 (neg.f64 (/.f64 1 3)) (*.f64 z t) (*.f64 (/.f64 1 3) (*.f64 z t))))))) (/.f64 a (*.f64 b 3)))
27.5b
(-.f64 (*.f64 (*.f64 2 (sqrt.f64 x)) (cos.f64 (*.f64 1/3 (*.f64 t z)))) (/.f64 a (*.f64 b 3)))
18.1b
(-.f64 (*.f64 (*.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (/.f64 (*.f64 z t) 3)))) (*.f64 (/.f64 1 b) (/.f64 a 3)))
30.6b
(-.f64 (*.f64 (sqrt.f64 (*.f64 (*.f64 2 (sqrt.f64 x)) (-.f64 (*.f64 (cos.f64 (fma.f64 1 y (neg.f64 (*.f64 (/.f64 t 3) (/.f64 z 1))))) (cos.f64 (fma.f64 (neg.f64 (/.f64 t 3)) (/.f64 z 1) (*.f64 (/.f64 t 3) (/.f64 z 1))))) (*.f64 (sin.f64 (fma.f64 1 y (neg.f64 (*.f64 (/.f64 t 3) (/.f64 z 1))))) (sin.f64 (fma.f64 (neg.f64 (/.f64 t 3)) (/.f64 z 1) (*.f64 (/.f64 t 3) (/.f64 z 1)))))))) (sqrt.f64 (*.f64 (*.f64 2 (sqrt.f64 x)) (-.f64 (*.f64 (cos.f64 (fma.f64 1 y (neg.f64 (*.f64 (/.f64 t 3) (/.f64 z 1))))) (cos.f64 (fma.f64 (neg.f64 (/.f64 t 3)) (/.f64 z 1) (*.f64 (/.f64 t 3) (/.f64 z 1))))) (*.f64 (sin.f64 (fma.f64 1 y (neg.f64 (*.f64 (/.f64 t 3) (/.f64 z 1))))) (sin.f64 (fma.f64 (neg.f64 (/.f64 t 3)) (/.f64 z 1) (*.f64 (/.f64 t 3) (/.f64 z 1))))))))) (/.f64 a (*.f64 b 3)))
17.9b
(-.f64 (*.f64 (*.f64 2 (sqrt.f64 x)) (-.f64 (*.f64 (cos.f64 (fma.f64 1 y (neg.f64 (*.f64 (/.f64 t (sqrt.f64 3)) (/.f64 z (sqrt.f64 3)))))) (cos.f64 (fma.f64 (neg.f64 (/.f64 t (sqrt.f64 3))) (/.f64 z (sqrt.f64 3)) (*.f64 (/.f64 t (sqrt.f64 3)) (/.f64 z (sqrt.f64 3)))))) (*.f64 (sin.f64 (fma.f64 1 y (neg.f64 (*.f64 (/.f64 t (sqrt.f64 3)) (/.f64 z (sqrt.f64 3)))))) (sin.f64 (fma.f64 (neg.f64 (/.f64 t (sqrt.f64 3))) (/.f64 z (sqrt.f64 3)) (*.f64 (/.f64 t (sqrt.f64 3)) (/.f64 z (sqrt.f64 3)))))))) (/.f64 a (*.f64 b 3)))
26.1b
(-.f64 (cbrt.f64 (*.f64 (*.f64 (*.f64 (*.f64 2 (sqrt.f64 x)) (*.f64 2 (sqrt.f64 x))) (*.f64 2 (sqrt.f64 x))) (*.f64 (*.f64 (-.f64 (*.f64 (cos.f64 (fma.f64 1 y (neg.f64 (*.f64 (/.f64 t 3) (/.f64 z 1))))) (cos.f64 (fma.f64 (neg.f64 (/.f64 t 3)) (/.f64 z 1) (*.f64 (/.f64 t 3) (/.f64 z 1))))) (*.f64 (sin.f64 (fma.f64 1 y (neg.f64 (*.f64 (/.f64 t 3) (/.f64 z 1))))) (sin.f64 (fma.f64 (neg.f64 (/.f64 t 3)) (/.f64 z 1) (*.f64 (/.f64 t 3) (/.f64 z 1)))))) (-.f64 (*.f64 (cos.f64 (fma.f64 1 y (neg.f64 (*.f64 (/.f64 t 3) (/.f64 z 1))))) (cos.f64 (fma.f64 (neg.f64 (/.f64 t 3)) (/.f64 z 1) (*.f64 (/.f64 t 3) (/.f64 z 1))))) (*.f64 (sin.f64 (fma.f64 1 y (neg.f64 (*.f64 (/.f64 t 3) (/.f64 z 1))))) (sin.f64 (fma.f64 (neg.f64 (/.f64 t 3)) (/.f64 z 1) (*.f64 (/.f64 t 3) (/.f64 z 1))))))) (-.f64 (*.f64 (cos.f64 (fma.f64 1 y (neg.f64 (*.f64 (/.f64 t 3) (/.f64 z 1))))) (cos.f64 (fma.f64 (neg.f64 (/.f64 t 3)) (/.f64 z 1) (*.f64 (/.f64 t 3) (/.f64 z 1))))) (*.f64 (sin.f64 (fma.f64 1 y (neg.f64 (*.f64 (/.f64 t 3) (/.f64 z 1))))) (sin.f64 (fma.f64 (neg.f64 (/.f64 t 3)) (/.f64 z 1) (*.f64 (/.f64 t 3) (/.f64 z 1))))))))) (/.f64 a (*.f64 b 3)))
22.8b
(-.f64 (*.f64 (*.f64 2 (sqrt.f64 x)) (-.f64 (*.f64 (cos.f64 (fma.f64 1 y (neg.f64 (*.f64 (/.f64 t 3) (/.f64 z 1))))) (cos.f64 (expm1.f64 (log1p.f64 (fma.f64 (neg.f64 (/.f64 t 3)) (/.f64 z 1) (*.f64 (/.f64 t 3) (/.f64 z 1))))))) (*.f64 (sin.f64 (fma.f64 1 y (neg.f64 (*.f64 (/.f64 t 3) (/.f64 z 1))))) (sin.f64 (fma.f64 (neg.f64 (/.f64 t 3)) (/.f64 z 1) (*.f64 (/.f64 t 3) (/.f64 z 1))))))) (/.f64 a (*.f64 b 3)))
18.4b
(-.f64 (*.f64 (*.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (/.f64 (*.f64 z t) 3)))) (*.f64 (*.f64 (cbrt.f64 (/.f64 a (*.f64 b 3))) (cbrt.f64 (/.f64 a (*.f64 b 3)))) (cbrt.f64 (/.f64 a (*.f64 b 3)))))
17.9b
(-.f64 (*.f64 (*.f64 2 (sqrt.f64 x)) (-.f64 (*.f64 (cos.f64 (fma.f64 1 y (neg.f64 (*.f64 (/.f64 t (cbrt.f64 3)) (/.f64 z (*.f64 (cbrt.f64 3) (cbrt.f64 3))))))) (cos.f64 (fma.f64 (neg.f64 (/.f64 t (cbrt.f64 3))) (/.f64 z (*.f64 (cbrt.f64 3) (cbrt.f64 3))) (*.f64 (/.f64 t (cbrt.f64 3)) (/.f64 z (*.f64 (cbrt.f64 3) (cbrt.f64 3))))))) (*.f64 (sin.f64 (fma.f64 1 y (neg.f64 (*.f64 (/.f64 t (cbrt.f64 3)) (/.f64 z (*.f64 (cbrt.f64 3) (cbrt.f64 3))))))) (sin.f64 (fma.f64 (neg.f64 (/.f64 t (cbrt.f64 3))) (/.f64 z (*.f64 (cbrt.f64 3) (cbrt.f64 3))) (*.f64 (/.f64 t (cbrt.f64 3)) (/.f64 z (*.f64 (cbrt.f64 3) (cbrt.f64 3))))))))) (/.f64 a (*.f64 b 3)))
18.1b
(-.f64 (*.f64 (*.f64 2 (sqrt.f64 x)) (expm1.f64 (log1p.f64 (cos.f64 (-.f64 y (/.f64 (*.f64 z t) 3)))))) (/.f64 a (*.f64 b 3)))
34.8b
(-.f64 (*.f64 (*.f64 2 (sqrt.f64 x)) (-.f64 (*.f64 (cos.f64 (fma.f64 1 y (neg.f64 (*.f64 (sqrt.f64 (/.f64 (*.f64 z t) 3)) (sqrt.f64 (/.f64 (*.f64 z t) 3)))))) (cos.f64 (fma.f64 (neg.f64 (sqrt.f64 (/.f64 (*.f64 z t) 3))) (sqrt.f64 (/.f64 (*.f64 z t) 3)) (*.f64 (sqrt.f64 (/.f64 (*.f64 z t) 3)) (sqrt.f64 (/.f64 (*.f64 z t) 3)))))) (*.f64 (sin.f64 (fma.f64 1 y (neg.f64 (*.f64 (sqrt.f64 (/.f64 (*.f64 z t) 3)) (sqrt.f64 (/.f64 (*.f64 z t) 3)))))) (sin.f64 (fma.f64 (neg.f64 (sqrt.f64 (/.f64 (*.f64 z t) 3))) (sqrt.f64 (/.f64 (*.f64 z t) 3)) (*.f64 (sqrt.f64 (/.f64 (*.f64 z t) 3)) (sqrt.f64 (/.f64 (*.f64 z t) 3)))))))) (/.f64 a (*.f64 b 3)))
26.1b
(-.f64 (cbrt.f64 (*.f64 (*.f64 (*.f64 (*.f64 2 (sqrt.f64 x)) (-.f64 (*.f64 (cos.f64 (fma.f64 1 y (neg.f64 (*.f64 (/.f64 t 3) (/.f64 z 1))))) (cos.f64 (fma.f64 (neg.f64 (/.f64 t 3)) (/.f64 z 1) (*.f64 (/.f64 t 3) (/.f64 z 1))))) (*.f64 (sin.f64 (fma.f64 1 y (neg.f64 (*.f64 (/.f64 t 3) (/.f64 z 1))))) (sin.f64 (fma.f64 (neg.f64 (/.f64 t 3)) (/.f64 z 1) (*.f64 (/.f64 t 3) (/.f64 z 1))))))) (*.f64 (*.f64 2 (sqrt.f64 x)) (-.f64 (*.f64 (cos.f64 (fma.f64 1 y (neg.f64 (*.f64 (/.f64 t 3) (/.f64 z 1))))) (cos.f64 (fma.f64 (neg.f64 (/.f64 t 3)) (/.f64 z 1) (*.f64 (/.f64 t 3) (/.f64 z 1))))) (*.f64 (sin.f64 (fma.f64 1 y (neg.f64 (*.f64 (/.f64 t 3) (/.f64 z 1))))) (sin.f64 (fma.f64 (neg.f64 (/.f64 t 3)) (/.f64 z 1) (*.f64 (/.f64 t 3) (/.f64 z 1)))))))) (*.f64 (*.f64 2 (sqrt.f64 x)) (-.f64 (*.f64 (cos.f64 (fma.f64 1 y (neg.f64 (*.f64 (/.f64 t 3) (/.f64 z 1))))) (cos.f64 (fma.f64 (neg.f64 (/.f64 t 3)) (/.f64 z 1) (*.f64 (/.f64 t 3) (/.f64 z 1))))) (*.f64 (sin.f64 (fma.f64 1 y (neg.f64 (*.f64 (/.f64 t 3) (/.f64 z 1))))) (sin.f64 (fma.f64 (neg.f64 (/.f64 t 3)) (/.f64 z 1) (*.f64 (/.f64 t 3) (/.f64 z 1))))))))) (/.f64 a (*.f64 b 3)))
15.7b
(-.f64 (*.f64 (*.f64 2 (sqrt.f64 x)) (-.f64 (*.f64 (-.f64 (*.f64 (cos.f64 y) (cos.f64 (*.f64 1/3 (*.f64 t z)))) (*.f64 (sin.f64 y) (sin.f64 (*.f64 z (neg.f64 (/.f64 t 3)))))) (cos.f64 (fma.f64 (neg.f64 (/.f64 t 3)) (/.f64 z 1) (*.f64 (/.f64 t 3) (/.f64 z 1))))) (*.f64 (sin.f64 (fma.f64 1 y (neg.f64 (*.f64 (/.f64 t 3) (/.f64 z 1))))) (sin.f64 (fma.f64 (neg.f64 (/.f64 t 3)) (/.f64 z 1) (*.f64 (/.f64 t 3) (/.f64 z 1))))))) (/.f64 a (*.f64 b 3)))
22.4b
(-.f64 (expm1.f64 (log1p.f64 (*.f64 (*.f64 2 (sqrt.f64 x)) (-.f64 (*.f64 (cos.f64 (fma.f64 1 y (neg.f64 (*.f64 (/.f64 t 3) (/.f64 z 1))))) (cos.f64 (fma.f64 (neg.f64 (/.f64 t 3)) (/.f64 z 1) (*.f64 (/.f64 t 3) (/.f64 z 1))))) (*.f64 (sin.f64 (fma.f64 1 y (neg.f64 (*.f64 (/.f64 t 3) (/.f64 z 1))))) (sin.f64 (fma.f64 (neg.f64 (/.f64 t 3)) (/.f64 z 1) (*.f64 (/.f64 t 3) (/.f64 z 1))))))))) (/.f64 a (*.f64 b 3)))
18.2b
(-.f64 (*.f64 (*.f64 (*.f64 2 (sqrt.f64 x)) (*.f64 (cbrt.f64 (cos.f64 (-.f64 y (/.f64 (*.f64 z t) 3)))) (cbrt.f64 (cos.f64 (-.f64 y (/.f64 (*.f64 z t) 3)))))) (cbrt.f64 (cos.f64 (-.f64 y (/.f64 (*.f64 z t) 3))))) (/.f64 a (*.f64 b 3)))
50.1b
(-.f64 (*.f64 (*.f64 2 (sqrt.f64 x)) (-.f64 (*.f64 (cos.f64 (fma.f64 (sqrt.f64 y) (sqrt.f64 y) (neg.f64 (*.f64 (sqrt.f64 (/.f64 (*.f64 z t) 3)) (sqrt.f64 (/.f64 (*.f64 z t) 3)))))) (cos.f64 (fma.f64 (neg.f64 (sqrt.f64 (/.f64 (*.f64 z t) 3))) (sqrt.f64 (/.f64 (*.f64 z t) 3)) (*.f64 (sqrt.f64 (/.f64 (*.f64 z t) 3)) (sqrt.f64 (/.f64 (*.f64 z t) 3)))))) (*.f64 (sin.f64 (fma.f64 (sqrt.f64 y) (sqrt.f64 y) (neg.f64 (*.f64 (sqrt.f64 (/.f64 (*.f64 z t) 3)) (sqrt.f64 (/.f64 (*.f64 z t) 3)))))) (sin.f64 (fma.f64 (neg.f64 (sqrt.f64 (/.f64 (*.f64 z t) 3))) (sqrt.f64 (/.f64 (*.f64 z t) 3)) (*.f64 (sqrt.f64 (/.f64 (*.f64 z t) 3)) (sqrt.f64 (/.f64 (*.f64 z t) 3)))))))) (/.f64 a (*.f64 b 3)))
18.1b
(-.f64 (/.f64 (*.f64 (cos.f64 (-.f64 y (*.f64 z (/.f64 t 3)))) (*.f64 (cos.f64 (-.f64 y (*.f64 z (/.f64 t 3)))) (*.f64 2 (sqrt.f64 x)))) (+.f64 (*.f64 (cos.f64 (fma.f64 1 y (neg.f64 (*.f64 (/.f64 t 3) (/.f64 z 1))))) (cos.f64 (fma.f64 (neg.f64 (/.f64 t 3)) (/.f64 z 1) (*.f64 (/.f64 t 3) (/.f64 z 1))))) (*.f64 (sin.f64 (fma.f64 1 y (neg.f64 (*.f64 (/.f64 t 3) (/.f64 z 1))))) (sin.f64 (fma.f64 (neg.f64 (/.f64 t 3)) (/.f64 z 1) (*.f64 (/.f64 t 3) (/.f64 z 1))))))) (/.f64 a (*.f64 b 3)))
Compiler

Compiled 15501 to 11153 computations (28% saved)

localize44.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.2b
(*.f64 (*.f64 2 (sqrt.f64 x)) (-.f64 (*.f64 (-.f64 (*.f64 (cos.f64 y) (cos.f64 (*.f64 z (/.f64 t 3)))) (*.f64 (sin.f64 y) (sin.f64 (*.f64 z (neg.f64 (/.f64 t 3)))))) (cos.f64 (fma.f64 (neg.f64 (/.f64 t 3)) (/.f64 z 1) (*.f64 (/.f64 t 3) (/.f64 z 1))))) (*.f64 (+.f64 (*.f64 (sin.f64 y) (cos.f64 (*.f64 z (/.f64 t 3)))) (*.f64 (cos.f64 y) (sin.f64 (*.f64 z (neg.f64 (/.f64 t 3)))))) (sin.f64 (fma.f64 (neg.f64 (/.f64 t 3)) (/.f64 z 1) (*.f64 (/.f64 t 3) (/.f64 z 1)))))))
25.3b
(cos.f64 (*.f64 z (/.f64 t 3)))
25.5b
(sin.f64 (*.f64 z (neg.f64 (/.f64 t 3))))
53.9b
(fma.f64 (neg.f64 (/.f64 t 3)) (/.f64 z 1) (*.f64 (/.f64 t 3) (/.f64 z 1)))

series192.0ms (0.7%)

Counts
1 → 36
Calls

1 calls:

191.0ms
(*.f64 (*.f64 2 (sqrt.f64 x)) (-.f64 (*.f64 (-.f64 (*.f64 (cos.f64 y) (cos.f64 (*.f64 z (/.f64 t 3)))) (*.f64 (sin.f64 y) (sin.f64 (*.f64 z (neg.f64 (/.f64 t 3)))))) (cos.f64 (fma.f64 (neg.f64 (/.f64 t 3)) (/.f64 z 1) (*.f64 (/.f64 t 3) (/.f64 z 1))))) (*.f64 (+.f64 (*.f64 (sin.f64 y) (cos.f64 (*.f64 z (/.f64 t 3)))) (*.f64 (cos.f64 y) (sin.f64 (*.f64 z (neg.f64 (/.f64 t 3)))))) (sin.f64 (fma.f64 (neg.f64 (/.f64 t 3)) (/.f64 z 1) (*.f64 (/.f64 t 3) (/.f64 z 1)))))))

rewrite30.0ms (0.1%)

Algorithm
rewrite-expression-head
Rules
16×associate-*l/_binary64
10×associate-*r/_binary64
10×frac-sub_binary64
add-cbrt-cube_binary64
add-exp-log_binary64
Counts
1 → 36
Calls

1 calls:

17.0ms
(*.f64 (*.f64 2 (sqrt.f64 x)) (-.f64 (*.f64 (-.f64 (*.f64 (cos.f64 y) (cos.f64 (*.f64 z (/.f64 t 3)))) (*.f64 (sin.f64 y) (sin.f64 (*.f64 z (neg.f64 (/.f64 t 3)))))) (cos.f64 (fma.f64 (neg.f64 (/.f64 t 3)) (/.f64 z 1) (*.f64 (/.f64 t 3) (/.f64 z 1))))) (*.f64 (+.f64 (*.f64 (sin.f64 y) (cos.f64 (*.f64 z (/.f64 t 3)))) (*.f64 (cos.f64 y) (sin.f64 (*.f64 z (neg.f64 (/.f64 t 3)))))) (sin.f64 (fma.f64 (neg.f64 (/.f64 t 3)) (/.f64 z 1) (*.f64 (/.f64 t 3) (/.f64 z 1)))))))

simplify212.0ms (0.8%)

Algorithm
egg-herbie
Rules
533×cancel-sign-sub-inv_binary64
422×associate-*r*_binary64
413×associate-*l*_binary64
397×fma-neg_binary64
267×*-commutative_binary64
Counts
72 → 78
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
02317571
18096651
232556237
348686237
448346198
549766198

prune2.0s (7.7%)

Pruning

33 alts after pruning (33 fresh and 0 done)

PrunedKeptTotal
New19212204
Fresh122133
Picked101
Done000
Total20533238
Error
7.6b
Counts
238 → 33
Alt Table
StatusErrorProgram
18.1b
(-.f64 (*.f64 (*.f64 2 (sqrt.f64 x)) (-.f64 (*.f64 (-.f64 (*.f64 (cos.f64 y) 1) (*.f64 (sin.f64 y) (sin.f64 (*.f64 z (neg.f64 (/.f64 t 3)))))) (cos.f64 (fma.f64 (neg.f64 (/.f64 t 3)) (/.f64 z 1) (*.f64 (/.f64 t 3) (/.f64 z 1))))) (*.f64 (sin.f64 (fma.f64 1 y (neg.f64 (*.f64 (/.f64 t 3) (/.f64 z 1))))) (sin.f64 (fma.f64 (neg.f64 (/.f64 t 3)) (/.f64 z 1) (*.f64 (/.f64 t 3) (/.f64 z 1))))))) (/.f64 a (*.f64 b 3)))
15.2b
(-.f64 (/.f64 (*.f64 (*.f64 2 (sqrt.f64 x)) (-.f64 (*.f64 (*.f64 (-.f64 (+.f64 (cos.f64 (+.f64 y (*.f64 z (/.f64 t 3)))) (cos.f64 (-.f64 y (*.f64 z (/.f64 t 3))))) (-.f64 (cos.f64 (-.f64 y (*.f64 z (neg.f64 (/.f64 t 3))))) (cos.f64 (+.f64 y (*.f64 z (neg.f64 (/.f64 t 3))))))) (cos.f64 (fma.f64 (neg.f64 (/.f64 t 3)) (/.f64 z 1) (*.f64 (/.f64 t 3) (/.f64 z 1))))) (-.f64 (*.f64 (sin.f64 y) (cos.f64 (*.f64 z (/.f64 t 3)))) (*.f64 (cos.f64 y) (sin.f64 (*.f64 z (neg.f64 (/.f64 t 3))))))) (*.f64 2 (*.f64 (-.f64 (*.f64 (*.f64 (sin.f64 y) (cos.f64 (*.f64 z (/.f64 t 3)))) (*.f64 (sin.f64 y) (cos.f64 (*.f64 z (/.f64 t 3))))) (*.f64 (*.f64 (cos.f64 y) (sin.f64 (*.f64 z (neg.f64 (/.f64 t 3))))) (*.f64 (cos.f64 y) (sin.f64 (*.f64 z (neg.f64 (/.f64 t 3))))))) (sin.f64 (fma.f64 (neg.f64 (/.f64 t 3)) (/.f64 z 1) (*.f64 (/.f64 t 3) (/.f64 z 1)))))))) (*.f64 2 (-.f64 (*.f64 (sin.f64 y) (cos.f64 (*.f64 z (/.f64 t 3)))) (*.f64 (cos.f64 y) (sin.f64 (*.f64 z (neg.f64 (/.f64 t 3)))))))) (/.f64 a (*.f64 b 3)))
24.4b
(-.f64 (cbrt.f64 (*.f64 (*.f64 (*.f64 (*.f64 2 (sqrt.f64 x)) (*.f64 2 (sqrt.f64 x))) (*.f64 2 (sqrt.f64 x))) (*.f64 (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 (cos.f64 y) (cos.f64 (*.f64 z (/.f64 t 3)))) (*.f64 (sin.f64 y) (sin.f64 (*.f64 z (neg.f64 (/.f64 t 3)))))) (cos.f64 (fma.f64 (neg.f64 (/.f64 t 3)) (/.f64 z 1) (*.f64 (/.f64 t 3) (/.f64 z 1))))) (*.f64 (+.f64 (*.f64 (sin.f64 y) (cos.f64 (*.f64 z (/.f64 t 3)))) (*.f64 (cos.f64 y) (sin.f64 (*.f64 z (neg.f64 (/.f64 t 3)))))) (sin.f64 (fma.f64 (neg.f64 (/.f64 t 3)) (/.f64 z 1) (*.f64 (/.f64 t 3) (/.f64 z 1)))))) (-.f64 (*.f64 (-.f64 (*.f64 (cos.f64 y) (cos.f64 (*.f64 z (/.f64 t 3)))) (*.f64 (sin.f64 y) (sin.f64 (*.f64 z (neg.f64 (/.f64 t 3)))))) (cos.f64 (fma.f64 (neg.f64 (/.f64 t 3)) (/.f64 z 1) (*.f64 (/.f64 t 3) (/.f64 z 1))))) (*.f64 (+.f64 (*.f64 (sin.f64 y) (cos.f64 (*.f64 z (/.f64 t 3)))) (*.f64 (cos.f64 y) (sin.f64 (*.f64 z (neg.f64 (/.f64 t 3)))))) (sin.f64 (fma.f64 (neg.f64 (/.f64 t 3)) (/.f64 z 1) (*.f64 (/.f64 t 3) (/.f64 z 1))))))) (-.f64 (*.f64 (-.f64 (*.f64 (cos.f64 y) (cos.f64 (*.f64 z (/.f64 t 3)))) (*.f64 (sin.f64 y) (sin.f64 (*.f64 z (neg.f64 (/.f64 t 3)))))) (cos.f64 (fma.f64 (neg.f64 (/.f64 t 3)) (/.f64 z 1) (*.f64 (/.f64 t 3) (/.f64 z 1))))) (*.f64 (+.f64 (*.f64 (sin.f64 y) (cos.f64 (*.f64 z (/.f64 t 3)))) (*.f64 (cos.f64 y) (sin.f64 (*.f64 z (neg.f64 (/.f64 t 3)))))) (sin.f64 (fma.f64 (neg.f64 (/.f64 t 3)) (/.f64 z 1) (*.f64 (/.f64 t 3) (/.f64 z 1))))))))) (/.f64 a (*.f64 b 3)))
12.4b
(-.f64 (*.f64 (*.f64 2 (sqrt.f64 x)) (-.f64 (*.f64 (-.f64 (*.f64 (cos.f64 y) (cos.f64 (*.f64 z (/.f64 t 3)))) (*.f64 (sin.f64 y) (sin.f64 (*.f64 z (neg.f64 (/.f64 t 3)))))) (cos.f64 (fma.f64 (neg.f64 (/.f64 t 3)) (/.f64 z 1) (*.f64 (/.f64 t 3) (/.f64 z 1))))) (*.f64 (+.f64 (*.f64 (sin.f64 y) (cos.f64 (*.f64 z (/.f64 t 3)))) (*.f64 (cos.f64 y) (cbrt.f64 (*.f64 (*.f64 (sin.f64 (*.f64 z (neg.f64 (/.f64 t 3)))) (sin.f64 (*.f64 z (neg.f64 (/.f64 t 3))))) (sin.f64 (*.f64 z (neg.f64 (/.f64 t 3)))))))) (sin.f64 (fma.f64 (neg.f64 (/.f64 t 3)) (/.f64 z 1) (*.f64 (/.f64 t 3) (/.f64 z 1))))))) (/.f64 a (*.f64 b 3)))
50.1b
(-.f64 (*.f64 (*.f64 2 (sqrt.f64 x)) (-.f64 (*.f64 (cos.f64 (fma.f64 (sqrt.f64 y) (sqrt.f64 y) (neg.f64 (*.f64 (sqrt.f64 (/.f64 (*.f64 z t) 3)) (sqrt.f64 (/.f64 (*.f64 z t) 3)))))) (cos.f64 (fma.f64 (neg.f64 (sqrt.f64 (/.f64 (*.f64 z t) 3))) (sqrt.f64 (/.f64 (*.f64 z t) 3)) (*.f64 (sqrt.f64 (/.f64 (*.f64 z t) 3)) (sqrt.f64 (/.f64 (*.f64 z t) 3)))))) (*.f64 (sin.f64 (fma.f64 (sqrt.f64 y) (sqrt.f64 y) (neg.f64 (*.f64 (sqrt.f64 (/.f64 (*.f64 z t) 3)) (sqrt.f64 (/.f64 (*.f64 z t) 3)))))) (sin.f64 (fma.f64 (neg.f64 (sqrt.f64 (/.f64 (*.f64 z t) 3))) (sqrt.f64 (/.f64 (*.f64 z t) 3)) (*.f64 (sqrt.f64 (/.f64 (*.f64 z t) 3)) (sqrt.f64 (/.f64 (*.f64 z t) 3)))))))) (/.f64 a (*.f64 b 3)))
15.1b
(-.f64 (*.f64 (*.f64 2 (sqrt.f64 x)) (cos.f64 y)) (/.f64 a (*.f64 b 3)))
44.7b
(-.f64 (log.f64 (*.f64 (pow.f64 (exp.f64 (*.f64 2 (sqrt.f64 x))) (*.f64 (fma.f64 (cos.f64 y) (cos.f64 (*.f64 z (/.f64 t 3))) (*.f64 (sin.f64 y) (sin.f64 (*.f64 z (/.f64 t 3))))) (cos.f64 (*.f64 z (+.f64 (neg.f64 (/.f64 t 3)) (/.f64 t 3)))))) (exp.f64 (*.f64 (sqrt.f64 x) 0)))) (/.f64 a (*.f64 b 3)))
18.1b
(fma.f64 a (/.f64 -1/3 b) (*.f64 (*.f64 2 (sqrt.f64 x)) (cos.f64 (fma.f64 z (*.f64 t -1/3) y))))
53.0b
(-.f64 (*.f64 (*.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (exp.f64 (-.f64 (+.f64 (log.f64 z) (log.f64 t)) (log.f64 3)))))) (/.f64 a (*.f64 b 3)))
17.1b
(-.f64 (*.f64 (*.f64 2 (sqrt.f64 x)) (-.f64 (*.f64 (cos.f64 (fma.f64 1 y (neg.f64 (*.f64 (/.f64 t 3) (/.f64 z 1))))) (cos.f64 (*.f64 (*.f64 (cbrt.f64 (fma.f64 (neg.f64 (/.f64 t 3)) (/.f64 z 1) (*.f64 (/.f64 t 3) (/.f64 z 1)))) (cbrt.f64 (fma.f64 (neg.f64 (/.f64 t 3)) (/.f64 z 1) (*.f64 (/.f64 t 3) (/.f64 z 1))))) (cbrt.f64 (fma.f64 (neg.f64 (/.f64 t 3)) (/.f64 z 1) (*.f64 (/.f64 t 3) (/.f64 z 1))))))) (*.f64 (sin.f64 (fma.f64 1 y (neg.f64 (*.f64 (/.f64 t 3) (/.f64 z 1))))) (sin.f64 (fma.f64 (neg.f64 (/.f64 t 3)) (/.f64 z 1) (*.f64 (/.f64 t 3) (/.f64 z 1))))))) (/.f64 a (*.f64 b 3)))
17.3b
(-.f64 (*.f64 (*.f64 (*.f64 2 (sqrt.f64 x)) (*.f64 (cbrt.f64 (fma.f64 (fma.f64 (cos.f64 y) (cos.f64 (*.f64 z (/.f64 t 3))) (*.f64 (sin.f64 y) (sin.f64 (*.f64 z (/.f64 t 3))))) (cos.f64 (*.f64 z (+.f64 (neg.f64 (/.f64 t 3)) (/.f64 t 3)))) (*.f64 (fma.f64 (cos.f64 y) (sin.f64 (*.f64 z (neg.f64 (/.f64 t 3)))) (*.f64 (sin.f64 y) (cos.f64 (*.f64 z (/.f64 t 3))))) (sin.f64 (*.f64 z (+.f64 (neg.f64 (/.f64 t 3)) (/.f64 t 3))))))) (cbrt.f64 (fma.f64 (fma.f64 (cos.f64 y) (cos.f64 (*.f64 z (/.f64 t 3))) (*.f64 (sin.f64 y) (sin.f64 (*.f64 z (/.f64 t 3))))) (cos.f64 (*.f64 z (+.f64 (neg.f64 (/.f64 t 3)) (/.f64 t 3)))) (*.f64 (fma.f64 (cos.f64 y) (sin.f64 (*.f64 z (neg.f64 (/.f64 t 3)))) (*.f64 (sin.f64 y) (cos.f64 (*.f64 z (/.f64 t 3))))) (sin.f64 (*.f64 z (+.f64 (neg.f64 (/.f64 t 3)) (/.f64 t 3))))))))) (cbrt.f64 (-.f64 (*.f64 (-.f64 (*.f64 (cos.f64 y) (cos.f64 (*.f64 z (/.f64 t 3)))) (*.f64 (sin.f64 y) (sin.f64 (*.f64 z (neg.f64 (/.f64 t 3)))))) (cos.f64 (fma.f64 (neg.f64 (/.f64 t 3)) (/.f64 z 1) (*.f64 (/.f64 t 3) (/.f64 z 1))))) (*.f64 (+.f64 (*.f64 (sin.f64 y) (cos.f64 (*.f64 z (/.f64 t 3)))) (*.f64 (cos.f64 y) (sin.f64 (*.f64 z (neg.f64 (/.f64 t 3)))))) (sin.f64 (fma.f64 (neg.f64 (/.f64 t 3)) (/.f64 z 1) (*.f64 (/.f64 t 3) (/.f64 z 1)))))))) (/.f64 a (*.f64 b 3)))
14.5b
(-.f64 (*.f64 (*.f64 2 (sqrt.f64 x)) (-.f64 (*.f64 (-.f64 (*.f64 (cos.f64 y) (cos.f64 (*.f64 z (/.f64 t 3)))) (*.f64 (sin.f64 y) (sin.f64 (*.f64 z (neg.f64 (/.f64 t 3)))))) (cos.f64 (fma.f64 (neg.f64 (/.f64 t 3)) (/.f64 z 1) (*.f64 (/.f64 t 3) (/.f64 z 1))))) (*.f64 (log.f64 (exp.f64 (sin.f64 (-.f64 y (*.f64 z (/.f64 t 3)))))) (sin.f64 (fma.f64 (neg.f64 (/.f64 t 3)) (/.f64 z 1) (*.f64 (/.f64 t 3) (/.f64 z 1))))))) (/.f64 a (*.f64 b 3)))
18.0b
(-.f64 (*.f64 (*.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (/.f64 (*.f64 z t) 3)))) (/.f64 (/.f64 a b) 3))
18.0b
(-.f64 (*.f64 (*.f64 2 (sqrt.f64 x)) (-.f64 (*.f64 (cos.f64 y) (cos.f64 (*.f64 (neg.f64 (*.f64 (cbrt.f64 (/.f64 (*.f64 z t) 3)) (cbrt.f64 (/.f64 (*.f64 z t) 3)))) (cbrt.f64 (/.f64 (*.f64 z t) 3))))) (*.f64 (sin.f64 y) (sin.f64 (*.f64 (neg.f64 (*.f64 (cbrt.f64 (/.f64 (*.f64 z t) 3)) (cbrt.f64 (/.f64 (*.f64 z t) 3)))) (cbrt.f64 (/.f64 (*.f64 z t) 3))))))) (/.f64 a (*.f64 b 3)))
18.1b
(-.f64 (*.f64 (*.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (/.f64 (*.f64 z t) 3)))) (/.f64 1 (/.f64 (*.f64 b 3) a)))
18.1b
(-.f64 (*.f64 (*.f64 2 (sqrt.f64 x)) (-.f64 (*.f64 (cos.f64 (fma.f64 1 y (neg.f64 (*.f64 (/.f64 1 3) (*.f64 z t))))) (cos.f64 (fma.f64 (neg.f64 (/.f64 1 3)) (*.f64 z t) (*.f64 (/.f64 1 3) (*.f64 z t))))) (*.f64 (sin.f64 (fma.f64 1 y (neg.f64 (*.f64 (/.f64 1 3) (*.f64 z t))))) (sin.f64 (fma.f64 (neg.f64 (/.f64 1 3)) (*.f64 z t) (*.f64 (/.f64 1 3) (*.f64 z t))))))) (/.f64 a (*.f64 b 3)))
27.5b
(-.f64 (*.f64 (*.f64 2 (sqrt.f64 x)) (cos.f64 (*.f64 1/3 (*.f64 t z)))) (/.f64 a (*.f64 b 3)))
18.1b
(-.f64 (*.f64 (*.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (/.f64 (*.f64 z t) 3)))) (*.f64 (/.f64 1 b) (/.f64 a 3)))
12.5b
(-.f64 (/.f64 (*.f64 (*.f64 2 (sqrt.f64 x)) (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (cos.f64 y) (cos.f64 (*.f64 z (/.f64 t 3)))) (*.f64 (sin.f64 y) (sin.f64 (*.f64 z (neg.f64 (/.f64 t 3)))))) (cos.f64 (fma.f64 (neg.f64 (/.f64 t 3)) (/.f64 z 1) (*.f64 (/.f64 t 3) (/.f64 z 1))))) (*.f64 (-.f64 (*.f64 (cos.f64 y) (cos.f64 (*.f64 z (/.f64 t 3)))) (*.f64 (sin.f64 y) (sin.f64 (*.f64 z (neg.f64 (/.f64 t 3)))))) (cos.f64 (fma.f64 (neg.f64 (/.f64 t 3)) (/.f64 z 1) (*.f64 (/.f64 t 3) (/.f64 z 1)))))) (*.f64 (*.f64 (+.f64 (*.f64 (sin.f64 y) (cos.f64 (*.f64 z (/.f64 t 3)))) (*.f64 (cos.f64 y) (sin.f64 (*.f64 z (neg.f64 (/.f64 t 3)))))) (sin.f64 (fma.f64 (neg.f64 (/.f64 t 3)) (/.f64 z 1) (*.f64 (/.f64 t 3) (/.f64 z 1))))) (*.f64 (+.f64 (*.f64 (sin.f64 y) (cos.f64 (*.f64 z (/.f64 t 3)))) (*.f64 (cos.f64 y) (sin.f64 (*.f64 z (neg.f64 (/.f64 t 3)))))) (sin.f64 (fma.f64 (neg.f64 (/.f64 t 3)) (/.f64 z 1) (*.f64 (/.f64 t 3) (/.f64 z 1)))))))) (+.f64 (*.f64 (-.f64 (*.f64 (cos.f64 y) (cos.f64 (*.f64 z (/.f64 t 3)))) (*.f64 (sin.f64 y) (sin.f64 (*.f64 z (neg.f64 (/.f64 t 3)))))) (cos.f64 (fma.f64 (neg.f64 (/.f64 t 3)) (/.f64 z 1) (*.f64 (/.f64 t 3) (/.f64 z 1))))) (*.f64 (+.f64 (*.f64 (sin.f64 y) (cos.f64 (*.f64 z (/.f64 t 3)))) (*.f64 (cos.f64 y) (sin.f64 (*.f64 z (neg.f64 (/.f64 t 3)))))) (sin.f64 (fma.f64 (neg.f64 (/.f64 t 3)) (/.f64 z 1) (*.f64 (/.f64 t 3) (/.f64 z 1))))))) (/.f64 a (*.f64 b 3)))
14.5b
(-.f64 (*.f64 (*.f64 2 (sqrt.f64 x)) (-.f64 (*.f64 (-.f64 (*.f64 (cos.f64 y) (cos.f64 (*.f64 (*.f64 t z) 1/3))) (*.f64 (sin.f64 y) (sin.f64 (*.f64 z (neg.f64 (/.f64 t 3)))))) (cos.f64 (fma.f64 (neg.f64 (/.f64 t 3)) (/.f64 z 1) (*.f64 (/.f64 t 3) (/.f64 z 1))))) (*.f64 (+.f64 (*.f64 (sin.f64 y) (cos.f64 (*.f64 z (/.f64 t 3)))) (*.f64 (cos.f64 y) (sin.f64 (*.f64 z (neg.f64 (/.f64 t 3)))))) (sin.f64 (fma.f64 (neg.f64 (/.f64 t 3)) (/.f64 z 1) (*.f64 (/.f64 t 3) (/.f64 z 1))))))) (/.f64 a (*.f64 b 3)))
18.4b
(-.f64 (*.f64 (*.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (/.f64 (*.f64 z t) 3)))) (*.f64 (*.f64 (cbrt.f64 (/.f64 a (*.f64 b 3))) (cbrt.f64 (/.f64 a (*.f64 b 3)))) (cbrt.f64 (/.f64 a (*.f64 b 3)))))
12.7b
(-.f64 (/.f64 (*.f64 (*.f64 2 (sqrt.f64 x)) (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 (cos.f64 y) (cos.f64 (*.f64 z (/.f64 t 3)))) (*.f64 (cos.f64 y) (cos.f64 (*.f64 z (/.f64 t 3))))) (*.f64 (*.f64 (sin.f64 y) (sin.f64 (*.f64 z (neg.f64 (/.f64 t 3))))) (*.f64 (sin.f64 y) (sin.f64 (*.f64 z (neg.f64 (/.f64 t 3))))))) (cos.f64 (fma.f64 (neg.f64 (/.f64 t 3)) (/.f64 z 1) (*.f64 (/.f64 t 3) (/.f64 z 1))))) (-.f64 (*.f64 (sin.f64 y) (cos.f64 (*.f64 z (/.f64 t 3)))) (*.f64 (cos.f64 y) (sin.f64 (*.f64 z (neg.f64 (/.f64 t 3))))))) (*.f64 (+.f64 (*.f64 (cos.f64 y) (cos.f64 (*.f64 z (/.f64 t 3)))) (*.f64 (sin.f64 y) (sin.f64 (*.f64 z (neg.f64 (/.f64 t 3)))))) (*.f64 (-.f64 (*.f64 (*.f64 (sin.f64 y) (cos.f64 (*.f64 z (/.f64 t 3)))) (*.f64 (sin.f64 y) (cos.f64 (*.f64 z (/.f64 t 3))))) (*.f64 (*.f64 (cos.f64 y) (sin.f64 (*.f64 z (neg.f64 (/.f64 t 3))))) (*.f64 (cos.f64 y) (sin.f64 (*.f64 z (neg.f64 (/.f64 t 3))))))) (sin.f64 (fma.f64 (neg.f64 (/.f64 t 3)) (/.f64 z 1) (*.f64 (/.f64 t 3) (/.f64 z 1)))))))) (*.f64 (+.f64 (*.f64 (cos.f64 y) (cos.f64 (*.f64 z (/.f64 t 3)))) (*.f64 (sin.f64 y) (sin.f64 (*.f64 z (neg.f64 (/.f64 t 3)))))) (-.f64 (*.f64 (sin.f64 y) (cos.f64 (*.f64 z (/.f64 t 3)))) (*.f64 (cos.f64 y) (sin.f64 (*.f64 z (neg.f64 (/.f64 t 3)))))))) (/.f64 a (*.f64 b 3)))
22.8b
(-.f64 (*.f64 (*.f64 2 (sqrt.f64 x)) (-.f64 (*.f64 (cos.f64 (fma.f64 1 y (neg.f64 (*.f64 (/.f64 t 3) (/.f64 z 1))))) (cos.f64 (expm1.f64 (log1p.f64 (fma.f64 (neg.f64 (/.f64 t 3)) (/.f64 z 1) (*.f64 (/.f64 t 3) (/.f64 z 1))))))) (*.f64 (sin.f64 (fma.f64 1 y (neg.f64 (*.f64 (/.f64 t 3) (/.f64 z 1))))) (sin.f64 (fma.f64 (neg.f64 (/.f64 t 3)) (/.f64 z 1) (*.f64 (/.f64 t 3) (/.f64 z 1))))))) (/.f64 a (*.f64 b 3)))
17.9b
(-.f64 (*.f64 (*.f64 2 (sqrt.f64 x)) (-.f64 (*.f64 (cos.f64 (fma.f64 1 y (neg.f64 (*.f64 (/.f64 t (cbrt.f64 3)) (/.f64 z (*.f64 (cbrt.f64 3) (cbrt.f64 3))))))) (cos.f64 (fma.f64 (neg.f64 (/.f64 t (cbrt.f64 3))) (/.f64 z (*.f64 (cbrt.f64 3) (cbrt.f64 3))) (*.f64 (/.f64 t (cbrt.f64 3)) (/.f64 z (*.f64 (cbrt.f64 3) (cbrt.f64 3))))))) (*.f64 (sin.f64 (fma.f64 1 y (neg.f64 (*.f64 (/.f64 t (cbrt.f64 3)) (/.f64 z (*.f64 (cbrt.f64 3) (cbrt.f64 3))))))) (sin.f64 (fma.f64 (neg.f64 (/.f64 t (cbrt.f64 3))) (/.f64 z (*.f64 (cbrt.f64 3) (cbrt.f64 3))) (*.f64 (/.f64 t (cbrt.f64 3)) (/.f64 z (*.f64 (cbrt.f64 3) (cbrt.f64 3))))))))) (/.f64 a (*.f64 b 3)))
16.7b
(-.f64 (/.f64 (*.f64 (*.f64 2 (sqrt.f64 x)) (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 (cos.f64 y) (cos.f64 (*.f64 z (/.f64 t 3)))) (*.f64 (cos.f64 y) (cos.f64 (*.f64 z (/.f64 t 3))))) (*.f64 (*.f64 (sin.f64 y) (sin.f64 (*.f64 z (neg.f64 (/.f64 t 3))))) (*.f64 (sin.f64 y) (sin.f64 (*.f64 z (neg.f64 (/.f64 t 3))))))) (cos.f64 (fma.f64 (neg.f64 (/.f64 t 3)) (/.f64 z 1) (*.f64 (/.f64 t 3) (/.f64 z 1))))) (+.f64 (*.f64 (*.f64 (sin.f64 y) (cos.f64 (*.f64 z (/.f64 t 3)))) (*.f64 (sin.f64 y) (cos.f64 (*.f64 z (/.f64 t 3))))) (-.f64 (*.f64 (*.f64 (cos.f64 y) (sin.f64 (*.f64 z (neg.f64 (/.f64 t 3))))) (*.f64 (cos.f64 y) (sin.f64 (*.f64 z (neg.f64 (/.f64 t 3)))))) (*.f64 (*.f64 (sin.f64 y) (cos.f64 (*.f64 z (/.f64 t 3)))) (*.f64 (cos.f64 y) (sin.f64 (*.f64 z (neg.f64 (/.f64 t 3))))))))) (*.f64 (+.f64 (*.f64 (cos.f64 y) (cos.f64 (*.f64 z (/.f64 t 3)))) (*.f64 (sin.f64 y) (sin.f64 (*.f64 z (neg.f64 (/.f64 t 3)))))) (*.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 y) (cos.f64 (*.f64 z (/.f64 t 3)))) 3) (pow.f64 (*.f64 (cos.f64 y) (sin.f64 (*.f64 z (neg.f64 (/.f64 t 3))))) 3)) (sin.f64 (fma.f64 (neg.f64 (/.f64 t 3)) (/.f64 z 1) (*.f64 (/.f64 t 3) (/.f64 z 1)))))))) (*.f64 (+.f64 (*.f64 (cos.f64 y) (cos.f64 (*.f64 z (/.f64 t 3)))) (*.f64 (sin.f64 y) (sin.f64 (*.f64 z (neg.f64 (/.f64 t 3)))))) (+.f64 (*.f64 (*.f64 (sin.f64 y) (cos.f64 (*.f64 z (/.f64 t 3)))) (*.f64 (sin.f64 y) (cos.f64 (*.f64 z (/.f64 t 3))))) (-.f64 (*.f64 (*.f64 (cos.f64 y) (sin.f64 (*.f64 z (neg.f64 (/.f64 t 3))))) (*.f64 (cos.f64 y) (sin.f64 (*.f64 z (neg.f64 (/.f64 t 3)))))) (*.f64 (*.f64 (sin.f64 y) (cos.f64 (*.f64 z (/.f64 t 3)))) (*.f64 (cos.f64 y) (sin.f64 (*.f64 z (neg.f64 (/.f64 t 3)))))))))) (/.f64 a (*.f64 b 3)))
34.8b
(-.f64 (*.f64 (*.f64 2 (sqrt.f64 x)) (-.f64 (*.f64 (cos.f64 (fma.f64 1 y (neg.f64 (*.f64 (sqrt.f64 (/.f64 (*.f64 z t) 3)) (sqrt.f64 (/.f64 (*.f64 z t) 3)))))) (cos.f64 (fma.f64 (neg.f64 (sqrt.f64 (/.f64 (*.f64 z t) 3))) (sqrt.f64 (/.f64 (*.f64 z t) 3)) (*.f64 (sqrt.f64 (/.f64 (*.f64 z t) 3)) (sqrt.f64 (/.f64 (*.f64 z t) 3)))))) (*.f64 (sin.f64 (fma.f64 1 y (neg.f64 (*.f64 (sqrt.f64 (/.f64 (*.f64 z t) 3)) (sqrt.f64 (/.f64 (*.f64 z t) 3)))))) (sin.f64 (fma.f64 (neg.f64 (sqrt.f64 (/.f64 (*.f64 z t) 3))) (sqrt.f64 (/.f64 (*.f64 z t) 3)) (*.f64 (sqrt.f64 (/.f64 (*.f64 z t) 3)) (sqrt.f64 (/.f64 (*.f64 z t) 3)))))))) (/.f64 a (*.f64 b 3)))
13.3b
(-.f64 (*.f64 (*.f64 2 (sqrt.f64 x)) (-.f64 (*.f64 (-.f64 (*.f64 (cos.f64 y) (cos.f64 (*.f64 z (/.f64 t 3)))) (*.f64 (sin.f64 y) (expm1.f64 (log1p.f64 (sin.f64 (*.f64 -1/3 (*.f64 t z))))))) (cos.f64 (fma.f64 (neg.f64 (/.f64 t 3)) (/.f64 z 1) (*.f64 (/.f64 t 3) (/.f64 z 1))))) (*.f64 (+.f64 (*.f64 (sin.f64 y) (cos.f64 (*.f64 z (/.f64 t 3)))) (*.f64 (cos.f64 y) (sin.f64 (*.f64 z (neg.f64 (/.f64 t 3)))))) (sin.f64 (fma.f64 (neg.f64 (/.f64 t 3)) (/.f64 z 1) (*.f64 (/.f64 t 3) (/.f64 z 1))))))) (/.f64 a (*.f64 b 3)))
15.9b
(-.f64 (*.f64 (*.f64 2 (sqrt.f64 x)) (-.f64 (*.f64 (-.f64 (*.f64 (cos.f64 y) (cos.f64 (*.f64 z (/.f64 t 3)))) (*.f64 (sin.f64 y) (sin.f64 (*.f64 z (neg.f64 (/.f64 t 3)))))) (cos.f64 (fma.f64 (neg.f64 (/.f64 t 3)) (/.f64 z 1) (*.f64 (/.f64 t 3) (/.f64 z 1))))) (*.f64 (+.f64 (*.f64 (sin.f64 y) (cos.f64 (*.f64 z (/.f64 t 3)))) (*.f64 (cos.f64 y) (sin.f64 (*.f64 z (neg.f64 (/.f64 t 3)))))) (sin.f64 (*.f64 (*.f64 (cbrt.f64 (fma.f64 (neg.f64 (/.f64 t 3)) (/.f64 z 1) (*.f64 (/.f64 t 3) (/.f64 z 1)))) (cbrt.f64 (fma.f64 (neg.f64 (/.f64 t 3)) (/.f64 z 1) (*.f64 (/.f64 t 3) (/.f64 z 1))))) (cbrt.f64 (fma.f64 (neg.f64 (/.f64 t 3)) (/.f64 z 1) (*.f64 (/.f64 t 3) (/.f64 z 1))))))))) (/.f64 a (*.f64 b 3)))
15.7b
(-.f64 (*.f64 (*.f64 2 (sqrt.f64 x)) (-.f64 (*.f64 (-.f64 (*.f64 (cos.f64 y) (cos.f64 (*.f64 1/3 (*.f64 t z)))) (*.f64 (sin.f64 y) (sin.f64 (*.f64 z (neg.f64 (/.f64 t 3)))))) (cos.f64 (fma.f64 (neg.f64 (/.f64 t 3)) (/.f64 z 1) (*.f64 (/.f64 t 3) (/.f64 z 1))))) (*.f64 (sin.f64 (fma.f64 1 y (neg.f64 (*.f64 (/.f64 t 3) (/.f64 z 1))))) (sin.f64 (fma.f64 (neg.f64 (/.f64 t 3)) (/.f64 z 1) (*.f64 (/.f64 t 3) (/.f64 z 1))))))) (/.f64 a (*.f64 b 3)))
12.4b
(-.f64 (+.f64 (*.f64 (fma.f64 (-.f64 (*.f64 (cos.f64 y) (cos.f64 (*.f64 z (/.f64 t 3)))) (*.f64 (sin.f64 y) (sin.f64 (*.f64 z (neg.f64 (/.f64 t 3)))))) (cos.f64 (fma.f64 (neg.f64 (/.f64 t 3)) (/.f64 z 1) (*.f64 (/.f64 t 3) (/.f64 z 1)))) (neg.f64 (*.f64 (sin.f64 (fma.f64 (neg.f64 (/.f64 t 3)) (/.f64 z 1) (*.f64 (/.f64 t 3) (/.f64 z 1)))) (+.f64 (*.f64 (sin.f64 y) (cos.f64 (*.f64 z (/.f64 t 3)))) (*.f64 (cos.f64 y) (sin.f64 (*.f64 z (neg.f64 (/.f64 t 3))))))))) (*.f64 2 (sqrt.f64 x))) (*.f64 (fma.f64 (neg.f64 (sin.f64 (fma.f64 (neg.f64 (/.f64 t 3)) (/.f64 z 1) (*.f64 (/.f64 t 3) (/.f64 z 1))))) (+.f64 (*.f64 (sin.f64 y) (cos.f64 (*.f64 z (/.f64 t 3)))) (*.f64 (cos.f64 y) (sin.f64 (*.f64 z (neg.f64 (/.f64 t 3)))))) (*.f64 (sin.f64 (fma.f64 (neg.f64 (/.f64 t 3)) (/.f64 z 1) (*.f64 (/.f64 t 3) (/.f64 z 1)))) (+.f64 (*.f64 (sin.f64 y) (cos.f64 (*.f64 z (/.f64 t 3)))) (*.f64 (cos.f64 y) (sin.f64 (*.f64 z (neg.f64 (/.f64 t 3)))))))) (*.f64 2 (sqrt.f64 x)))) (/.f64 a (*.f64 b 3)))
22.4b
(-.f64 (expm1.f64 (log1p.f64 (*.f64 (*.f64 2 (sqrt.f64 x)) (-.f64 (*.f64 (cos.f64 (fma.f64 1 y (neg.f64 (*.f64 (/.f64 t 3) (/.f64 z 1))))) (cos.f64 (fma.f64 (neg.f64 (/.f64 t 3)) (/.f64 z 1) (*.f64 (/.f64 t 3) (/.f64 z 1))))) (*.f64 (sin.f64 (fma.f64 1 y (neg.f64 (*.f64 (/.f64 t 3) (/.f64 z 1))))) (sin.f64 (fma.f64 (neg.f64 (/.f64 t 3)) (/.f64 z 1) (*.f64 (/.f64 t 3) (/.f64 z 1))))))))) (/.f64 a (*.f64 b 3)))
18.2b
(-.f64 (*.f64 (*.f64 (*.f64 2 (sqrt.f64 x)) (*.f64 (cbrt.f64 (cos.f64 (-.f64 y (/.f64 (*.f64 z t) 3)))) (cbrt.f64 (cos.f64 (-.f64 y (/.f64 (*.f64 z t) 3)))))) (cbrt.f64 (cos.f64 (-.f64 y (/.f64 (*.f64 z t) 3))))) (/.f64 a (*.f64 b 3)))
17.9b
(-.f64 (*.f64 (*.f64 2 (sqrt.f64 x)) (-.f64 (*.f64 (cos.f64 (fma.f64 1 y (neg.f64 (*.f64 (/.f64 t (sqrt.f64 3)) (/.f64 z (sqrt.f64 3)))))) (cos.f64 (fma.f64 (neg.f64 (/.f64 t (sqrt.f64 3))) (/.f64 z (sqrt.f64 3)) (*.f64 (/.f64 t (sqrt.f64 3)) (/.f64 z (sqrt.f64 3)))))) (*.f64 (sin.f64 (fma.f64 1 y (neg.f64 (*.f64 (/.f64 t (sqrt.f64 3)) (/.f64 z (sqrt.f64 3)))))) (sin.f64 (fma.f64 (neg.f64 (/.f64 t (sqrt.f64 3))) (/.f64 z (sqrt.f64 3)) (*.f64 (/.f64 t (sqrt.f64 3)) (/.f64 z (sqrt.f64 3)))))))) (/.f64 a (*.f64 b 3)))
Compiler

Compiled 24959 to 16795 computations (32.7% saved)

regimes12.3s (48%)

Accuracy

Total 1.5b remaining (12%)

Threshold costs 0b (0%)

Counts
224 → 3
Compiler

Compiled 321913 to 234340 computations (27.2% saved)

bsearch28.0ms (0.1%)

Compiler

Compiled 13 to 10 computations (23.1% saved)

simplify9.0ms (0%)

Algorithm
egg-herbie
Rules
33×*-commutative_binary64
25×+-commutative_binary64
24×sub-neg_binary64
19×neg-sub0_binary64
19×neg-mul-1_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
052197
188197
2128197
3177197
4205197
5218197
6221197
7220197

end1.7s (6.8%)

Compiler

Compiled 3911 to 2773 computations (29.1% saved)

Profiling

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