Details

Time bar (total: 40.3s)

analyze23.5s (58.5%)

Algorithm
search
Search
TrueOtherFalseIter
0%0.2%99.8%0
0%0.2%99.8%1
0%0.2%99.8%2
0%0.2%99.8%3
0%0.2%99.8%4
0%0.2%99.8%5
0%0.2%99.8%6
0%0.2%99.8%7
0%0.2%99.8%8
0%0.2%99.8%9
0%0.2%99.8%10
0%0.2%99.8%11
0%0.2%99.8%12
0%0.2%99.8%13
0%0.2%99.8%14
Compiler

Compiled 72 to 53 computations (26.4% saved)

sample201.0ms (0.5%)

Algorithm
intervals
Symmetry

(sort y z)

Results
50.0ms147×body1024valid
21.0ms256×pre128true
8.0ms10×body2048valid
8.0ms36×body512valid
4.0ms17×body256valid
3.0ms46×body128valid
Compiler

Compiled 89 to 66 computations (25.8% saved)

simplify19.0ms (0%)

Algorithm
egg-herbie
Rules
132×fma-neg_binary64
75×fma-def_binary64
48×cancel-sign-sub-inv_binary64
39×sub-neg_binary64
24×associate--r+_binary64
Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01014
11614
22714
34714
47614
512914
621014
726414
830514
934114
1035214
1133814

prune2.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022
Error
13.5b
Counts
2 → 1
Alt Table
StatusErrorProgram
13.5b
(+.f64 x (-.f64 (tan.f64 (+.f64 y z)) (tan.f64 a)))
Compiler

Compiled 39 to 27 computations (30.8% saved)

localize8.0ms (0%)

Local error

Found 3 expressions with local error:

NewErrorProgram
0.2b
(+.f64 x (-.f64 (tan.f64 (+.f64 y z)) (tan.f64 a)))
0.2b
(-.f64 (tan.f64 (+.f64 y z)) (tan.f64 a))
3.7b
(tan.f64 (+.f64 y z))

series261.0ms (0.6%)

Counts
3 → 108
Calls

3 calls:

93.0ms
(-.f64 (tan.f64 (+.f64 y z)) (tan.f64 a))
93.0ms
(+.f64 x (-.f64 (tan.f64 (+.f64 y z)) (tan.f64 a)))
74.0ms
(tan.f64 (+.f64 y z))

rewrite19.0ms (0%)

Algorithm
rewrite-expression-head
Rules
26×*-un-lft-identity_binary64
21×add-sqr-sqrt_binary64
19×add-cube-cbrt_binary64
18×prod-diff_binary64
13×associate-+r+_binary64
Counts
3 → 76
Calls

3 calls:

6.0ms
(-.f64 (tan.f64 (+.f64 y z)) (tan.f64 a))
6.0ms
(+.f64 x (-.f64 (tan.f64 (+.f64 y z)) (tan.f64 a)))
3.0ms
(tan.f64 (+.f64 y z))

simplify188.0ms (0.5%)

Algorithm
egg-herbie
Rules
658×times-frac_binary64
274×associate-+r+_binary64
223×+-commutative_binary64
209×fma-neg_binary64
202×associate-+l+_binary64
Counts
184 → 173
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
02854874
17434585
224674488
348134487
449834486
549974486
649254486

prune265.0ms (0.7%)

Pruning

9 alts after pruning (9 fresh and 0 done)

PrunedKeptTotal
New1649173
Fresh000
Picked101
Done000
Total1659174
Error
0.1b
Counts
174 → 9
Alt Table
StatusErrorProgram
13.5b
(-.f64 (+.f64 x (tan.f64 (+.f64 y z))) (tan.f64 a))
0.2b
(+.f64 x (-.f64 (/.f64 (+.f64 (tan.f64 y) (tan.f64 z)) (-.f64 1 (*.f64 (tan.f64 y) (tan.f64 z)))) (tan.f64 a)))
13.6b
(+.f64 x (-.f64 (*.f64 (*.f64 (cbrt.f64 (tan.f64 (+.f64 y z))) (cbrt.f64 (tan.f64 (+.f64 y z)))) (cbrt.f64 (tan.f64 (+.f64 y z)))) (tan.f64 a)))
13.5b
(/.f64 (fma.f64 x x (*.f64 (-.f64 (tan.f64 (+.f64 z y)) (tan.f64 a)) (-.f64 (tan.f64 a) (tan.f64 (+.f64 z y))))) (-.f64 x (-.f64 (tan.f64 (+.f64 z y)) (tan.f64 a))))
16.0b
(expm1.f64 (log1p.f64 (+.f64 x (-.f64 (tan.f64 (+.f64 y z)) (tan.f64 a)))))
13.7b
(cbrt.f64 (pow.f64 (+.f64 x (-.f64 (tan.f64 (+.f64 z y)) (tan.f64 a))) 3))
32.1b
(+.f64 (+.f64 (+.f64 (+.f64 (/.f64 (sin.f64 z) (cos.f64 z)) y) (*.f64 (*.f64 y y) (+.f64 (/.f64 (sin.f64 z) (cos.f64 z)) (/.f64 (pow.f64 (sin.f64 z) 3) (pow.f64 (cos.f64 z) 3))))) x) (-.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 z) 2) y) (pow.f64 (cos.f64 z) 2)) (/.f64 (sin.f64 a) (cos.f64 a))))
0.2b
(+.f64 x (/.f64 (fma.f64 (cos.f64 a) (+.f64 (tan.f64 y) (tan.f64 z)) (*.f64 (sin.f64 a) (+.f64 (*.f64 (tan.f64 y) (tan.f64 z)) -1))) (*.f64 (cos.f64 a) (-.f64 1 (*.f64 (tan.f64 y) (tan.f64 z))))))
13.5b
(log.f64 (*.f64 (exp.f64 x) (exp.f64 (-.f64 (tan.f64 (+.f64 y z)) (tan.f64 a)))))
Compiler

Compiled 4978 to 1695 computations (66% saved)

localize14.0ms (0%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.1b
(+.f64 (tan.f64 y) (tan.f64 z))
0.1b
(+.f64 x (-.f64 (/.f64 (+.f64 (tan.f64 y) (tan.f64 z)) (-.f64 1 (*.f64 (tan.f64 y) (tan.f64 z)))) (tan.f64 a)))
0.2b
(-.f64 (/.f64 (+.f64 (tan.f64 y) (tan.f64 z)) (-.f64 1 (*.f64 (tan.f64 y) (tan.f64 z)))) (tan.f64 a))
0.2b
(*.f64 (tan.f64 y) (tan.f64 z))

series902.0ms (2.2%)

Counts
4 → 132
Calls

4 calls:

465.0ms
(+.f64 x (-.f64 (/.f64 (+.f64 (tan.f64 y) (tan.f64 z)) (-.f64 1 (*.f64 (tan.f64 y) (tan.f64 z)))) (tan.f64 a)))
371.0ms
(-.f64 (/.f64 (+.f64 (tan.f64 y) (tan.f64 z)) (-.f64 1 (*.f64 (tan.f64 y) (tan.f64 z)))) (tan.f64 a))
34.0ms
(*.f64 (tan.f64 y) (tan.f64 z))
31.0ms
(+.f64 (tan.f64 y) (tan.f64 z))

rewrite67.0ms (0.2%)

Algorithm
rewrite-expression-head
Rules
153×*-un-lft-identity_binary64
109×add-sqr-sqrt_binary64
108×prod-diff_binary64
102×add-cube-cbrt_binary64
85×times-frac_binary64
Counts
4 → 211
Calls

4 calls:

15.0ms
(+.f64 x (-.f64 (/.f64 (+.f64 (tan.f64 y) (tan.f64 z)) (-.f64 1 (*.f64 (tan.f64 y) (tan.f64 z)))) (tan.f64 a)))
13.0ms
(-.f64 (/.f64 (+.f64 (tan.f64 y) (tan.f64 z)) (-.f64 1 (*.f64 (tan.f64 y) (tan.f64 z)))) (tan.f64 a))
4.0ms
(*.f64 (tan.f64 y) (tan.f64 z))
4.0ms
(+.f64 (tan.f64 y) (tan.f64 z))

simplify340.0ms (0.8%)

Algorithm
egg-herbie
Rules
779×times-frac_binary64
283×+-commutative_binary64
259×associate-+r+_binary64
233×associate-+l+_binary64
179×fma-neg_binary64
Counts
343 → 323
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
047615854
1110014374
2349814068
3500014068
4504314068

prune573.0ms (1.4%)

Pruning

12 alts after pruning (12 fresh and 0 done)

PrunedKeptTotal
New31310323
Fresh628
Picked101
Done000
Total32012332
Error
0.0b
Counts
332 → 12
Alt Table
StatusErrorProgram
0.5b
(log1p.f64 (expm1.f64 (+.f64 x (-.f64 (/.f64 (+.f64 (tan.f64 y) (tan.f64 z)) (-.f64 1 (*.f64 (tan.f64 y) (tan.f64 z)))) (tan.f64 a)))))
0.3b
(+.f64 x (fma.f64 (/.f64 1 (*.f64 (cbrt.f64 (-.f64 1 (*.f64 (tan.f64 y) (tan.f64 z)))) (cbrt.f64 (-.f64 1 (*.f64 (tan.f64 y) (tan.f64 z)))))) (/.f64 (+.f64 (tan.f64 y) (tan.f64 z)) (cbrt.f64 (-.f64 1 (*.f64 (tan.f64 y) (tan.f64 z))))) (neg.f64 (tan.f64 a))))
13.5b
(/.f64 (fma.f64 x x (*.f64 (-.f64 (tan.f64 (+.f64 z y)) (tan.f64 a)) (-.f64 (tan.f64 a) (tan.f64 (+.f64 z y))))) (-.f64 x (-.f64 (tan.f64 (+.f64 z y)) (tan.f64 a))))
3.8b
(expm1.f64 (log1p.f64 (+.f64 x (-.f64 (/.f64 (+.f64 (tan.f64 y) (tan.f64 z)) (-.f64 1 (*.f64 (tan.f64 y) (tan.f64 z)))) (tan.f64 a)))))
0.4b
(+.f64 x (-.f64 (/.f64 (*.f64 (*.f64 (cbrt.f64 (+.f64 (tan.f64 y) (tan.f64 z))) (cbrt.f64 (+.f64 (tan.f64 y) (tan.f64 z)))) (cbrt.f64 (+.f64 (tan.f64 y) (tan.f64 z)))) (-.f64 1 (*.f64 (tan.f64 y) (tan.f64 z)))) (tan.f64 a)))
0.4b
(/.f64 (-.f64 (*.f64 x x) (*.f64 (-.f64 (/.f64 (+.f64 (tan.f64 y) (tan.f64 z)) (-.f64 1 (*.f64 (tan.f64 y) (tan.f64 z)))) (tan.f64 a)) (-.f64 (/.f64 (+.f64 (tan.f64 y) (tan.f64 z)) (-.f64 1 (*.f64 (tan.f64 y) (tan.f64 z)))) (tan.f64 a)))) (-.f64 x (-.f64 (/.f64 (+.f64 (tan.f64 y) (tan.f64 z)) (-.f64 1 (*.f64 (tan.f64 y) (tan.f64 z)))) (tan.f64 a))))
0.3b
(-.f64 (+.f64 (/.f64 (sin.f64 y) (*.f64 (-.f64 1 (/.f64 (*.f64 (sin.f64 y) (sin.f64 z)) (*.f64 (cos.f64 y) (cos.f64 z)))) (cos.f64 y))) (+.f64 x (/.f64 (sin.f64 z) (*.f64 (-.f64 1 (/.f64 (*.f64 (sin.f64 y) (sin.f64 z)) (*.f64 (cos.f64 y) (cos.f64 z)))) (cos.f64 z))))) (/.f64 (sin.f64 a) (cos.f64 a)))
5.0b
(exp.f64 (log.f64 (+.f64 x (-.f64 (/.f64 (+.f64 (tan.f64 y) (tan.f64 z)) (-.f64 1 (*.f64 (tan.f64 y) (tan.f64 z)))) (tan.f64 a)))))
0.2b
(log.f64 (*.f64 (exp.f64 x) (/.f64 (exp.f64 (/.f64 (+.f64 (tan.f64 y) (tan.f64 z)) (-.f64 1 (*.f64 (tan.f64 y) (tan.f64 z))))) (exp.f64 (tan.f64 a)))))
32.1b
(+.f64 (+.f64 (+.f64 (+.f64 (/.f64 (sin.f64 z) (cos.f64 z)) y) (*.f64 (*.f64 y y) (+.f64 (/.f64 (sin.f64 z) (cos.f64 z)) (/.f64 (pow.f64 (sin.f64 z) 3) (pow.f64 (cos.f64 z) 3))))) x) (-.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 z) 2) y) (pow.f64 (cos.f64 z) 2)) (/.f64 (sin.f64 a) (cos.f64 a))))
0.6b
(cbrt.f64 (pow.f64 (+.f64 x (-.f64 (/.f64 (+.f64 (tan.f64 y) (tan.f64 z)) (-.f64 1 (*.f64 (tan.f64 y) (tan.f64 z)))) (tan.f64 a))) 3))
0.2b
(log.f64 (exp.f64 (+.f64 x (-.f64 (/.f64 (+.f64 (tan.f64 y) (tan.f64 z)) (-.f64 1 (*.f64 (tan.f64 y) (tan.f64 z)))) (tan.f64 a)))))
Compiler

Compiled 14421 to 4537 computations (68.5% saved)

localize15.0ms (0%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.1b
(+.f64 x (-.f64 (/.f64 (+.f64 (tan.f64 y) (tan.f64 z)) (-.f64 1 (*.f64 (tan.f64 y) (tan.f64 z)))) (tan.f64 a)))
0.2b
(-.f64 (/.f64 (+.f64 (tan.f64 y) (tan.f64 z)) (-.f64 1 (*.f64 (tan.f64 y) (tan.f64 z)))) (tan.f64 a))
0.2b
(*.f64 (tan.f64 y) (tan.f64 z))
2.4b
(exp.f64 (+.f64 x (-.f64 (/.f64 (+.f64 (tan.f64 y) (tan.f64 z)) (-.f64 1 (*.f64 (tan.f64 y) (tan.f64 z)))) (tan.f64 a))))

series393.0ms (1%)

Counts
1 → 48
Calls

1 calls:

393.0ms
(exp.f64 (+.f64 x (-.f64 (/.f64 (+.f64 (tan.f64 y) (tan.f64 z)) (-.f64 1 (*.f64 (tan.f64 y) (tan.f64 z)))) (tan.f64 a))))

rewrite12.0ms (0%)

Algorithm
rewrite-expression-head
Rules
add-log-exp_binary64
*-un-lft-identity_binary64
exp-prod_binary64
rem-exp-log_binary64
sum-log_binary64
Counts
1 → 19
Calls

1 calls:

11.0ms
(exp.f64 (+.f64 x (-.f64 (/.f64 (+.f64 (tan.f64 y) (tan.f64 z)) (-.f64 1 (*.f64 (tan.f64 y) (tan.f64 z)))) (tan.f64 a))))

simplify154.0ms (0.4%)

Algorithm
egg-herbie
Rules
358×associate-/r/_binary64
266×associate-/l/_binary64
249×associate-*r*_binary64
226×associate-+r+_binary64
164×+-commutative_binary64
Counts
67 → 65
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02606393
17865751
231455269
349715269
450155269

prune746.0ms (1.9%)

Pruning

10 alts after pruning (10 fresh and 0 done)

PrunedKeptTotal
New3521353
Fresh2911
Picked101
Done000
Total35510365
Error
0.0b
Counts
365 → 10
Alt Table
StatusErrorProgram
13.5b
(/.f64 (fma.f64 x x (*.f64 (-.f64 (tan.f64 (+.f64 z y)) (tan.f64 a)) (-.f64 (tan.f64 a) (tan.f64 (+.f64 z y))))) (-.f64 x (-.f64 (tan.f64 (+.f64 z y)) (tan.f64 a))))
3.8b
(expm1.f64 (log1p.f64 (+.f64 x (-.f64 (/.f64 (+.f64 (tan.f64 y) (tan.f64 z)) (-.f64 1 (*.f64 (tan.f64 y) (tan.f64 z)))) (tan.f64 a)))))
0.4b
(+.f64 x (-.f64 (/.f64 (*.f64 (*.f64 (cbrt.f64 (+.f64 (tan.f64 y) (tan.f64 z))) (cbrt.f64 (+.f64 (tan.f64 y) (tan.f64 z)))) (cbrt.f64 (+.f64 (tan.f64 y) (tan.f64 z)))) (-.f64 1 (*.f64 (tan.f64 y) (tan.f64 z)))) (tan.f64 a)))
0.4b
(/.f64 (-.f64 (*.f64 x x) (*.f64 (-.f64 (/.f64 (+.f64 (tan.f64 y) (tan.f64 z)) (-.f64 1 (*.f64 (tan.f64 y) (tan.f64 z)))) (tan.f64 a)) (-.f64 (/.f64 (+.f64 (tan.f64 y) (tan.f64 z)) (-.f64 1 (*.f64 (tan.f64 y) (tan.f64 z)))) (tan.f64 a)))) (-.f64 x (-.f64 (/.f64 (+.f64 (tan.f64 y) (tan.f64 z)) (-.f64 1 (*.f64 (tan.f64 y) (tan.f64 z)))) (tan.f64 a))))
0.3b
(-.f64 (+.f64 (/.f64 (sin.f64 y) (*.f64 (-.f64 1 (/.f64 (*.f64 (sin.f64 y) (sin.f64 z)) (*.f64 (cos.f64 y) (cos.f64 z)))) (cos.f64 y))) (+.f64 x (/.f64 (sin.f64 z) (*.f64 (-.f64 1 (/.f64 (*.f64 (sin.f64 y) (sin.f64 z)) (*.f64 (cos.f64 y) (cos.f64 z)))) (cos.f64 z))))) (/.f64 (sin.f64 a) (cos.f64 a)))
5.0b
(exp.f64 (log.f64 (+.f64 x (-.f64 (/.f64 (+.f64 (tan.f64 y) (tan.f64 z)) (-.f64 1 (*.f64 (tan.f64 y) (tan.f64 z)))) (tan.f64 a)))))
0.2b
(log.f64 (*.f64 (exp.f64 x) (exp.f64 (-.f64 (/.f64 (+.f64 (tan.f64 z) (tan.f64 y)) (-.f64 1 (*.f64 (tan.f64 z) (tan.f64 y)))) (tan.f64 a)))))
0.3b
(+.f64 x (fma.f64 (/.f64 1 (*.f64 (cbrt.f64 (-.f64 1 (*.f64 (tan.f64 y) (tan.f64 z)))) (cbrt.f64 (-.f64 1 (*.f64 (tan.f64 y) (tan.f64 z)))))) (/.f64 (+.f64 (tan.f64 y) (tan.f64 z)) (cbrt.f64 (-.f64 1 (*.f64 (tan.f64 y) (tan.f64 z))))) (neg.f64 (tan.f64 a))))
32.1b
(+.f64 (+.f64 (+.f64 (+.f64 (/.f64 (sin.f64 z) (cos.f64 z)) y) (*.f64 (*.f64 y y) (+.f64 (/.f64 (sin.f64 z) (cos.f64 z)) (/.f64 (pow.f64 (sin.f64 z) 3) (pow.f64 (cos.f64 z) 3))))) x) (-.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 z) 2) y) (pow.f64 (cos.f64 z) 2)) (/.f64 (sin.f64 a) (cos.f64 a))))
0.6b
(cbrt.f64 (pow.f64 (+.f64 x (-.f64 (/.f64 (+.f64 (tan.f64 y) (tan.f64 z)) (-.f64 1 (*.f64 (tan.f64 y) (tan.f64 z)))) (tan.f64 a))) 3))
Compiler

Compiled 18961 to 6256 computations (67% saved)

localize19.0ms (0%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.2b
(-.f64 (/.f64 (+.f64 (tan.f64 z) (tan.f64 y)) (-.f64 1 (*.f64 (tan.f64 z) (tan.f64 y)))) (tan.f64 a))
0.2b
(*.f64 (tan.f64 z) (tan.f64 y))
0.3b
(*.f64 (exp.f64 x) (exp.f64 (-.f64 (/.f64 (+.f64 (tan.f64 z) (tan.f64 y)) (-.f64 1 (*.f64 (tan.f64 z) (tan.f64 y)))) (tan.f64 a))))
0.4b
(exp.f64 (-.f64 (/.f64 (+.f64 (tan.f64 z) (tan.f64 y)) (-.f64 1 (*.f64 (tan.f64 z) (tan.f64 y)))) (tan.f64 a)))

series1.3s (3.2%)

Counts
4 → 144
Calls

4 calls:

564.0ms
(*.f64 (exp.f64 x) (exp.f64 (-.f64 (/.f64 (+.f64 (tan.f64 z) (tan.f64 y)) (-.f64 1 (*.f64 (tan.f64 z) (tan.f64 y)))) (tan.f64 a))))
373.0ms
(exp.f64 (-.f64 (/.f64 (+.f64 (tan.f64 z) (tan.f64 y)) (-.f64 1 (*.f64 (tan.f64 z) (tan.f64 y)))) (tan.f64 a)))
326.0ms
(-.f64 (/.f64 (+.f64 (tan.f64 z) (tan.f64 y)) (-.f64 1 (*.f64 (tan.f64 z) (tan.f64 y)))) (tan.f64 a))
33.0ms
(*.f64 (tan.f64 z) (tan.f64 y))

rewrite105.0ms (0.3%)

Algorithm
rewrite-expression-head
Rules
215×*-un-lft-identity_binary64
162×prod-diff_binary64
160×add-sqr-sqrt_binary64
146×add-cube-cbrt_binary64
122×times-frac_binary64
Counts
4 → 272
Calls

4 calls:

26.0ms
(*.f64 (exp.f64 x) (exp.f64 (-.f64 (/.f64 (+.f64 (tan.f64 z) (tan.f64 y)) (-.f64 1 (*.f64 (tan.f64 z) (tan.f64 y)))) (tan.f64 a))))
14.0ms
(exp.f64 (-.f64 (/.f64 (+.f64 (tan.f64 z) (tan.f64 y)) (-.f64 1 (*.f64 (tan.f64 z) (tan.f64 y)))) (tan.f64 a)))
11.0ms
(-.f64 (/.f64 (+.f64 (tan.f64 z) (tan.f64 y)) (-.f64 1 (*.f64 (tan.f64 z) (tan.f64 y)))) (tan.f64 a))
4.0ms
(*.f64 (tan.f64 z) (tan.f64 y))

simplify366.0ms (0.9%)

Algorithm
egg-herbie
Rules
586×associate-*l*_binary64
404×times-frac_binary64
381×associate-/l*_binary64
343×fma-def_binary64
257×associate-/r*_binary64
Counts
416 → 421
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
076126716
1199324262
2546724262

prune851.0ms (2.1%)

Pruning

10 alts after pruning (9 fresh and 1 done)

PrunedKeptTotal
New4201421
Fresh189
Picked011
Done000
Total42110431
Error
0.0b
Counts
431 → 10
Alt Table
StatusErrorProgram
0.4b
(+.f64 x (-.f64 (/.f64 (*.f64 (*.f64 (cbrt.f64 (+.f64 (tan.f64 y) (tan.f64 z))) (cbrt.f64 (+.f64 (tan.f64 y) (tan.f64 z)))) (cbrt.f64 (+.f64 (tan.f64 y) (tan.f64 z)))) (-.f64 1 (*.f64 (tan.f64 y) (tan.f64 z)))) (tan.f64 a)))
0.4b
(/.f64 (-.f64 (*.f64 x x) (*.f64 (-.f64 (/.f64 (+.f64 (tan.f64 y) (tan.f64 z)) (-.f64 1 (*.f64 (tan.f64 y) (tan.f64 z)))) (tan.f64 a)) (-.f64 (/.f64 (+.f64 (tan.f64 y) (tan.f64 z)) (-.f64 1 (*.f64 (tan.f64 y) (tan.f64 z)))) (tan.f64 a)))) (-.f64 x (-.f64 (/.f64 (+.f64 (tan.f64 y) (tan.f64 z)) (-.f64 1 (*.f64 (tan.f64 y) (tan.f64 z)))) (tan.f64 a))))
0.3b
(-.f64 (+.f64 (/.f64 (sin.f64 y) (*.f64 (-.f64 1 (/.f64 (*.f64 (sin.f64 y) (sin.f64 z)) (*.f64 (cos.f64 y) (cos.f64 z)))) (cos.f64 y))) (+.f64 x (/.f64 (sin.f64 z) (*.f64 (-.f64 1 (/.f64 (*.f64 (sin.f64 y) (sin.f64 z)) (*.f64 (cos.f64 y) (cos.f64 z)))) (cos.f64 z))))) (/.f64 (sin.f64 a) (cos.f64 a)))
5.0b
(exp.f64 (log.f64 (+.f64 x (-.f64 (/.f64 (+.f64 (tan.f64 y) (tan.f64 z)) (-.f64 1 (*.f64 (tan.f64 y) (tan.f64 z)))) (tan.f64 a)))))
0.2b
(log.f64 (*.f64 (exp.f64 x) (exp.f64 (-.f64 (/.f64 (+.f64 (tan.f64 z) (tan.f64 y)) (-.f64 1 (*.f64 (tan.f64 z) (tan.f64 y)))) (tan.f64 a)))))
0.3b
(+.f64 x (fma.f64 (/.f64 1 (*.f64 (cbrt.f64 (-.f64 1 (*.f64 (tan.f64 y) (tan.f64 z)))) (cbrt.f64 (-.f64 1 (*.f64 (tan.f64 y) (tan.f64 z)))))) (/.f64 (+.f64 (tan.f64 y) (tan.f64 z)) (cbrt.f64 (-.f64 1 (*.f64 (tan.f64 y) (tan.f64 z))))) (neg.f64 (tan.f64 a))))
13.5b
(/.f64 (fma.f64 x x (*.f64 (-.f64 (tan.f64 (+.f64 z y)) (tan.f64 a)) (-.f64 (tan.f64 a) (tan.f64 (+.f64 z y))))) (-.f64 x (-.f64 (tan.f64 (+.f64 z y)) (tan.f64 a))))
0.2b
(log.f64 (*.f64 (exp.f64 x) (pow.f64 (E.f64) (-.f64 (/.f64 (+.f64 (tan.f64 z) (tan.f64 y)) (-.f64 1 (*.f64 (tan.f64 z) (tan.f64 y)))) (tan.f64 a)))))
32.1b
(+.f64 (+.f64 (+.f64 (+.f64 (/.f64 (sin.f64 z) (cos.f64 z)) y) (*.f64 (*.f64 y y) (+.f64 (/.f64 (sin.f64 z) (cos.f64 z)) (/.f64 (pow.f64 (sin.f64 z) 3) (pow.f64 (cos.f64 z) 3))))) x) (-.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 z) 2) y) (pow.f64 (cos.f64 z) 2)) (/.f64 (sin.f64 a) (cos.f64 a))))
0.6b
(cbrt.f64 (pow.f64 (+.f64 x (-.f64 (/.f64 (+.f64 (tan.f64 y) (tan.f64 z)) (-.f64 1 (*.f64 (tan.f64 y) (tan.f64 z)))) (tan.f64 a))) 3))
Compiler

Compiled 25190 to 7636 computations (69.7% saved)

regimes6.4s (16%)

Accuracy

Total 0.1b remaining (62.3%)

Threshold costs 0.1b (62.3%)

Counts
407 → 1
Compiler

Compiled 148110 to 80562 computations (45.6% saved)

simplify3.0ms (0%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
01632
12932
23932
34632
45032
55132
65032

end7.0ms (0%)

Remove

(sort y z)

Compiler

Compiled 72 to 48 computations (33.3% saved)

sample3.4s (8.5%)

Algorithm
intervals
Results
1.6s4547×body1024valid
611.0ms8000×pre128true
302.0ms1389×body512valid
164.0ms219×body2048valid
103.0ms1345×body128valid
71.0ms500×body256valid
Compiler

Compiled 474 to 276 computations (41.8% saved)

Profiling

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