Details

Time bar (total: 1.0min)

analyze42.0s (69.4%)

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 49 to 37 computations (24.5% saved)

sample115.0ms (0.2%)

Algorithm
intervals
Results
57.0ms167×body1024valid
16.0ms256×pre128true
9.0ms38×body512valid
3.0ms34×body128valid
2.0msbody2048valid
2.0ms13×body256valid
Compiler

Compiled 66 to 50 computations (24.2% saved)

simplify34.0ms (0.1%)

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
14.2b
Counts
2 → 1
Alt Table
StatusErrorProgram
14.2b
(+.f64 x (-.f64 (tan.f64 (+.f64 y z)) (tan.f64 a)))
Compiler

Compiled 39 to 27 computations (30.8% saved)

localize9.0ms (0%)

Local error

Found 3 expressions with local error:

NewErrorProgram
0.1b
(+.f64 x (-.f64 (tan.f64 (+.f64 y z)) (tan.f64 a)))
0.1b
(-.f64 (tan.f64 (+.f64 y z)) (tan.f64 a))
2.8b
(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))

series343.0ms (0.6%)

Counts
3 → 108
Calls

3 calls:

168.0ms
(+.f64 x (-.f64 (tan.f64 (+.f64 y z)) (tan.f64 a)))
127.0ms
(-.f64 (tan.f64 (+.f64 y z)) (tan.f64 a))
48.0ms
(tan.f64 (+.f64 y z))

simplify223.0ms (0.4%)

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 → 344
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
02854874
17434585
224674488
348134487
449834486
549974486
649254486

prune203.0ms (0.3%)

Pruning

9 alts after pruning (9 fresh and 0 done)

PrunedKeptTotal
New3359344
Fresh000
Picked101
Done000
Total3369345
Error
0.1b
Counts
345 → 9
Alt Table
StatusErrorProgram
15.0b
(*.f64 (*.f64 (cbrt.f64 (+.f64 x (-.f64 (tan.f64 (+.f64 y z)) (tan.f64 a)))) (cbrt.f64 (+.f64 x (-.f64 (tan.f64 (+.f64 y z)) (tan.f64 a))))) (cbrt.f64 (+.f64 x (-.f64 (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)))
14.2b
(+.f64 (+.f64 x (-.f64 (tan.f64 (+.f64 z y)) (tan.f64 a))) (fma.f64 (neg.f64 (cbrt.f64 (tan.f64 a))) (*.f64 (cbrt.f64 (tan.f64 a)) (cbrt.f64 (tan.f64 a))) (*.f64 (cbrt.f64 (tan.f64 a)) (*.f64 (cbrt.f64 (tan.f64 a)) (cbrt.f64 (tan.f64 a))))))
14.2b
(-.f64 (+.f64 (/.f64 (sin.f64 (+.f64 y z)) (cos.f64 (+.f64 y z))) x) (/.f64 (sin.f64 a) (cos.f64 a)))
14.5b
(cbrt.f64 (pow.f64 (+.f64 x (-.f64 (tan.f64 (+.f64 z y)) (tan.f64 a))) 3))
14.2b
(+.f64 x (/.f64 (-.f64 (*.f64 (tan.f64 (+.f64 y z)) (tan.f64 (+.f64 y z))) (*.f64 (tan.f64 a) (tan.f64 a))) (+.f64 (tan.f64 (+.f64 y z)) (tan.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))))))
14.5b
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (-.f64 (tan.f64 (+.f64 y z)) (tan.f64 a)))
15.0b
(fma.f64 (*.f64 (cbrt.f64 x) (cbrt.f64 x)) (cbrt.f64 x) (-.f64 (tan.f64 (+.f64 y z)) (tan.f64 a)))
Compiler

Compiled 4943 to 1657 computations (66.5% saved)

localize13.0ms (0%)

Local error

Found 4 expressions with local error:

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

rewrite63.0ms (0.1%)

Algorithm
rewrite-expression-head
Rules
167×*-un-lft-identity_binary64
117×add-sqr-sqrt_binary64
110×add-cube-cbrt_binary64
108×prod-diff_binary64
97×times-frac_binary64
Counts
4 → 231
Calls

4 calls:

17.0ms
(+.f64 x (-.f64 (/.f64 (+.f64 (tan.f64 y) (tan.f64 z)) (-.f64 1 (*.f64 (tan.f64 y) (tan.f64 z)))) (tan.f64 a)))
12.0ms
(-.f64 (/.f64 (+.f64 (tan.f64 y) (tan.f64 z)) (-.f64 1 (*.f64 (tan.f64 y) (tan.f64 z)))) (tan.f64 a))
8.0ms
(/.f64 (+.f64 (tan.f64 y) (tan.f64 z)) (-.f64 1 (*.f64 (tan.f64 y) (tan.f64 z))))
4.0ms
(*.f64 (tan.f64 y) (tan.f64 z))

series1.8s (2.9%)

Counts
4 → 132
Calls

4 calls:

830.0ms
(+.f64 x (-.f64 (/.f64 (+.f64 (tan.f64 y) (tan.f64 z)) (-.f64 1 (*.f64 (tan.f64 y) (tan.f64 z)))) (tan.f64 a)))
632.0ms
(-.f64 (/.f64 (+.f64 (tan.f64 y) (tan.f64 z)) (-.f64 1 (*.f64 (tan.f64 y) (tan.f64 z)))) (tan.f64 a))
229.0ms
(/.f64 (+.f64 (tan.f64 y) (tan.f64 z)) (-.f64 1 (*.f64 (tan.f64 y) (tan.f64 z))))
82.0ms
(*.f64 (tan.f64 y) (tan.f64 z))

simplify365.0ms (0.6%)

Algorithm
egg-herbie
Rules
829×times-frac_binary64
304×+-commutative_binary64
304×associate-+r+_binary64
242×associate-+l+_binary64
144×associate-*l*_binary64
Counts
363 → 631
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
048917507
1115216044
2377515738
3520615738

prune452.0ms (0.7%)

Pruning

8 alts after pruning (8 fresh and 0 done)

PrunedKeptTotal
New6247631
Fresh718
Picked101
Done000
Total6328640
Error
0.0b
Counts
640 → 8
Alt Table
StatusErrorProgram
15.0b
(*.f64 (*.f64 (cbrt.f64 (+.f64 x (-.f64 (tan.f64 (+.f64 y z)) (tan.f64 a)))) (cbrt.f64 (+.f64 x (-.f64 (tan.f64 (+.f64 y z)) (tan.f64 a))))) (cbrt.f64 (+.f64 x (-.f64 (tan.f64 (+.f64 y z)) (tan.f64 a)))))
0.2b
(+.f64 (+.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)))) (fma.f64 (neg.f64 (cbrt.f64 (tan.f64 a))) (*.f64 (cbrt.f64 (tan.f64 a)) (cbrt.f64 (tan.f64 a))) (*.f64 (cbrt.f64 (tan.f64 a)) (*.f64 (cbrt.f64 (tan.f64 a)) (cbrt.f64 (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))))
0.5b
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (-.f64 (/.f64 (+.f64 (tan.f64 y) (tan.f64 z)) (-.f64 1 (*.f64 (tan.f64 y) (tan.f64 z)))) (tan.f64 a)) 3)) (+.f64 (*.f64 x x) (-.f64 (*.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))))))
0.6b
(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
(+.f64 x (/.f64 (-.f64 (*.f64 (/.f64 (+.f64 (tan.f64 y) (tan.f64 z)) (-.f64 1 (*.f64 (tan.f64 y) (tan.f64 z)))) (/.f64 (+.f64 (tan.f64 y) (tan.f64 z)) (-.f64 1 (*.f64 (tan.f64 y) (tan.f64 z))))) (*.f64 (tan.f64 a) (tan.f64 a))) (+.f64 (/.f64 (+.f64 (tan.f64 y) (tan.f64 z)) (-.f64 1 (*.f64 (tan.f64 y) (tan.f64 z)))) (tan.f64 a))))
1.3b
(fma.f64 (*.f64 (cbrt.f64 x) (cbrt.f64 x)) (cbrt.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)))
Compiler

Compiled 15583 to 4885 computations (68.7% saved)

localize28.0ms (0%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.6b
(cbrt.f64 (tan.f64 a))
0.6b
(cbrt.f64 (tan.f64 a))
0.6b
(cbrt.f64 (tan.f64 a))
60.3b
(fma.f64 (neg.f64 (cbrt.f64 (tan.f64 a))) (*.f64 (cbrt.f64 (tan.f64 a)) (cbrt.f64 (tan.f64 a))) (*.f64 (cbrt.f64 (tan.f64 a)) (*.f64 (cbrt.f64 (tan.f64 a)) (cbrt.f64 (tan.f64 a)))))

rewrite3.0ms (0%)

Algorithm
rewrite-expression-head
Rules
cbrt-prod_binary64
*-un-lft-identity_binary64
add-sqr-sqrt_binary64
add-cube-cbrt_binary64
add-cbrt-cube_binary64
Counts
2 → 24
Calls

2 calls:

1.0ms
(cbrt.f64 (tan.f64 a))
0.0ms
(fma.f64 (neg.f64 (cbrt.f64 (tan.f64 a))) (*.f64 (cbrt.f64 (tan.f64 a)) (cbrt.f64 (tan.f64 a))) (*.f64 (cbrt.f64 (tan.f64 a)) (*.f64 (cbrt.f64 (tan.f64 a)) (cbrt.f64 (tan.f64 a)))))

series2.8s (4.7%)

Counts
2 → 24
Calls

2 calls:

2.5s
(fma.f64 (neg.f64 (cbrt.f64 (tan.f64 a))) (*.f64 (cbrt.f64 (tan.f64 a)) (cbrt.f64 (tan.f64 a))) (*.f64 (cbrt.f64 (tan.f64 a)) (*.f64 (cbrt.f64 (tan.f64 a)) (cbrt.f64 (tan.f64 a)))))
300.0ms
(cbrt.f64 (tan.f64 a))

simplify90.0ms (0.1%)

Algorithm
egg-herbie
Rules
541×fma-def_binary64
425×unswap-sqr_binary64
325×associate-*l*_binary64
277×*-commutative_binary64
235×associate-*r*_binary64
Counts
48 → 73
Iterations

Useful iterations: 5 (0.0ms)

IterNodesCost
066414
1139412
2285372
3722318
41425318
52508314
64760314
74865314
84733314

prune197.0ms (0.3%)

Pruning

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New1960196
Fresh077
Picked011
Done000
Total1968204
Error
0.0b
Counts
204 → 8
Alt Table
StatusErrorProgram
15.0b
(*.f64 (*.f64 (cbrt.f64 (+.f64 x (-.f64 (tan.f64 (+.f64 y z)) (tan.f64 a)))) (cbrt.f64 (+.f64 x (-.f64 (tan.f64 (+.f64 y z)) (tan.f64 a))))) (cbrt.f64 (+.f64 x (-.f64 (tan.f64 (+.f64 y z)) (tan.f64 a)))))
0.2b
(+.f64 (+.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)))) (fma.f64 (neg.f64 (cbrt.f64 (tan.f64 a))) (*.f64 (cbrt.f64 (tan.f64 a)) (cbrt.f64 (tan.f64 a))) (*.f64 (cbrt.f64 (tan.f64 a)) (*.f64 (cbrt.f64 (tan.f64 a)) (cbrt.f64 (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))))
0.5b
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (-.f64 (/.f64 (+.f64 (tan.f64 y) (tan.f64 z)) (-.f64 1 (*.f64 (tan.f64 y) (tan.f64 z)))) (tan.f64 a)) 3)) (+.f64 (*.f64 x x) (-.f64 (*.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))))))
0.6b
(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
(+.f64 x (/.f64 (-.f64 (*.f64 (/.f64 (+.f64 (tan.f64 y) (tan.f64 z)) (-.f64 1 (*.f64 (tan.f64 y) (tan.f64 z)))) (/.f64 (+.f64 (tan.f64 y) (tan.f64 z)) (-.f64 1 (*.f64 (tan.f64 y) (tan.f64 z))))) (*.f64 (tan.f64 a) (tan.f64 a))) (+.f64 (/.f64 (+.f64 (tan.f64 y) (tan.f64 z)) (-.f64 1 (*.f64 (tan.f64 y) (tan.f64 z)))) (tan.f64 a))))
1.3b
(fma.f64 (*.f64 (cbrt.f64 x) (cbrt.f64 x)) (cbrt.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)))
Compiler

Compiled 7355 to 2467 computations (66.5% saved)

localize19.0ms (0%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.2b
(*.f64 (tan.f64 y) (tan.f64 z))
0.3b
(*.f64 (tan.f64 a) (tan.f64 a))
0.4b
(*.f64 (/.f64 (+.f64 (tan.f64 y) (tan.f64 z)) (-.f64 1 (*.f64 (tan.f64 y) (tan.f64 z)))) (/.f64 (+.f64 (tan.f64 y) (tan.f64 z)) (-.f64 1 (*.f64 (tan.f64 y) (tan.f64 z)))))
0.9b
(/.f64 (-.f64 (*.f64 (/.f64 (+.f64 (tan.f64 y) (tan.f64 z)) (-.f64 1 (*.f64 (tan.f64 y) (tan.f64 z)))) (/.f64 (+.f64 (tan.f64 y) (tan.f64 z)) (-.f64 1 (*.f64 (tan.f64 y) (tan.f64 z))))) (*.f64 (tan.f64 a) (tan.f64 a))) (+.f64 (/.f64 (+.f64 (tan.f64 y) (tan.f64 z)) (-.f64 1 (*.f64 (tan.f64 y) (tan.f64 z)))) (tan.f64 a)))

rewrite61.0ms (0.1%)

Algorithm
rewrite-expression-head
Rules
105×*-un-lft-identity_binary64
80×times-frac_binary64
67×add-sqr-sqrt_binary64
53×add-cube-cbrt_binary64
27×swap-sqr_binary64
Counts
3 → 173
Calls

3 calls:

23.0ms
(/.f64 (-.f64 (*.f64 (/.f64 (+.f64 (tan.f64 y) (tan.f64 z)) (-.f64 1 (*.f64 (tan.f64 y) (tan.f64 z)))) (/.f64 (+.f64 (tan.f64 y) (tan.f64 z)) (-.f64 1 (*.f64 (tan.f64 y) (tan.f64 z))))) (*.f64 (tan.f64 a) (tan.f64 a))) (+.f64 (/.f64 (+.f64 (tan.f64 y) (tan.f64 z)) (-.f64 1 (*.f64 (tan.f64 y) (tan.f64 z)))) (tan.f64 a)))
17.0ms
(*.f64 (/.f64 (+.f64 (tan.f64 y) (tan.f64 z)) (-.f64 1 (*.f64 (tan.f64 y) (tan.f64 z)))) (/.f64 (+.f64 (tan.f64 y) (tan.f64 z)) (-.f64 1 (*.f64 (tan.f64 y) (tan.f64 z)))))
4.0ms
(*.f64 (tan.f64 a) (tan.f64 a))

series3.1s (5.1%)

Counts
3 → 72
Calls

3 calls:

2.8s
(/.f64 (-.f64 (*.f64 (/.f64 (+.f64 (tan.f64 y) (tan.f64 z)) (-.f64 1 (*.f64 (tan.f64 y) (tan.f64 z)))) (/.f64 (+.f64 (tan.f64 y) (tan.f64 z)) (-.f64 1 (*.f64 (tan.f64 y) (tan.f64 z))))) (*.f64 (tan.f64 a) (tan.f64 a))) (+.f64 (/.f64 (+.f64 (tan.f64 y) (tan.f64 z)) (-.f64 1 (*.f64 (tan.f64 y) (tan.f64 z)))) (tan.f64 a)))
290.0ms
(*.f64 (/.f64 (+.f64 (tan.f64 y) (tan.f64 z)) (-.f64 1 (*.f64 (tan.f64 y) (tan.f64 z)))) (/.f64 (+.f64 (tan.f64 y) (tan.f64 z)) (-.f64 1 (*.f64 (tan.f64 y) (tan.f64 z)))))
17.0ms
(*.f64 (tan.f64 a) (tan.f64 a))

simplify519.0ms (0.9%)

Algorithm
egg-herbie
Rules
799×fma-def_binary64
362×*-commutative_binary64
219×+-commutative_binary64
183×associate-+r+_binary64
161×unswap-sqr_binary64
Counts
245 → 415
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
0102529886
1359328530
2490528485
3498728485

prune682.0ms (1.1%)

Pruning

8 alts after pruning (6 fresh and 2 done)

PrunedKeptTotal
New4930493
Fresh066
Picked011
Done011
Total4938501
Error
0.0b
Counts
501 → 8
Alt Table
StatusErrorProgram
15.0b
(*.f64 (*.f64 (cbrt.f64 (+.f64 x (-.f64 (tan.f64 (+.f64 y z)) (tan.f64 a)))) (cbrt.f64 (+.f64 x (-.f64 (tan.f64 (+.f64 y z)) (tan.f64 a))))) (cbrt.f64 (+.f64 x (-.f64 (tan.f64 (+.f64 y z)) (tan.f64 a)))))
0.2b
(+.f64 (+.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)))) (fma.f64 (neg.f64 (cbrt.f64 (tan.f64 a))) (*.f64 (cbrt.f64 (tan.f64 a)) (cbrt.f64 (tan.f64 a))) (*.f64 (cbrt.f64 (tan.f64 a)) (*.f64 (cbrt.f64 (tan.f64 a)) (cbrt.f64 (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))))
0.5b
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (-.f64 (/.f64 (+.f64 (tan.f64 y) (tan.f64 z)) (-.f64 1 (*.f64 (tan.f64 y) (tan.f64 z)))) (tan.f64 a)) 3)) (+.f64 (*.f64 x x) (-.f64 (*.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))))))
0.6b
(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
(+.f64 x (/.f64 (-.f64 (*.f64 (/.f64 (+.f64 (tan.f64 y) (tan.f64 z)) (-.f64 1 (*.f64 (tan.f64 y) (tan.f64 z)))) (/.f64 (+.f64 (tan.f64 y) (tan.f64 z)) (-.f64 1 (*.f64 (tan.f64 y) (tan.f64 z))))) (*.f64 (tan.f64 a) (tan.f64 a))) (+.f64 (/.f64 (+.f64 (tan.f64 y) (tan.f64 z)) (-.f64 1 (*.f64 (tan.f64 y) (tan.f64 z)))) (tan.f64 a))))
1.3b
(fma.f64 (*.f64 (cbrt.f64 x) (cbrt.f64 x)) (cbrt.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)))
Compiler

Compiled 34420 to 11289 computations (67.2% saved)

regimes4.3s (7.1%)

Accuracy

Total 0.1b remaining (64.2%)

Threshold costs 0.1b (64.2%)

Compiler

Compiled 130256 to 68903 computations (47.1% saved)

simplify4.0ms (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
01940
13340
24340
35040
45440
55540
65440

end7.0ms (0%)

Remove

(sort y z)

Compiler

Compiled 87 to 57 computations (34.5% saved)

sample3.1s (5.2%)

Algorithm
intervals
Results
1.4s4553×body1024valid
490.0ms8000×pre128true
304.0ms1410×body512valid
169.0ms225×body2048valid
92.0ms1281×body128valid
80.0ms531×body256valid
Compiler

Compiled 488 to 247 computations (49.4% saved)

Profiling

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