Details

Time bar (total: 58.7s)

analyze42.5s (72.4%)

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 72 to 53 computations (26.4% saved)

sample132.0ms (0.2%)

Algorithm
intervals
Results
67.0ms136×body1024valid
18.0ms256×pre128true
11.0ms49×body512valid
6.0msbody2048valid
3.0ms42×body128valid
3.0ms20×body256valid
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
10.6b
Counts
2 → 1
Alt Table
StatusErrorProgram
10.6b
(+.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
0.1b
(+.f64 x (-.f64 (tan.f64 (+.f64 y z)) (tan.f64 a)))
0.2b
(-.f64 (tan.f64 (+.f64 y z)) (tan.f64 a))
1.7b
(tan.f64 (+.f64 y z))

series188.0ms (0.3%)

Counts
3 → 108
Calls

3 calls:

87.0ms
(+.f64 x (-.f64 (tan.f64 (+.f64 y z)) (tan.f64 a)))
65.0ms
(-.f64 (tan.f64 (+.f64 y z)) (tan.f64 a))
36.0ms
(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))
5.0ms
(+.f64 x (-.f64 (tan.f64 (+.f64 y z)) (tan.f64 a)))
3.0ms
(tan.f64 (+.f64 y z))

simplify203.0ms (0.3%)

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

prune218.0ms (0.4%)

Pruning

8 alts after pruning (8 fresh and 0 done)

PrunedKeptTotal
New1658173
Fresh000
Picked101
Done000
Total1668174
Error
0.1b
Counts
174 → 8
Alt Table
StatusErrorProgram
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))))))
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)))
10.9b
(/.f64 (+.f64 (pow.f64 (-.f64 (tan.f64 (+.f64 z y)) (tan.f64 a)) 3) (pow.f64 x 3)) (fma.f64 x x (*.f64 (-.f64 (tan.f64 (+.f64 z y)) (tan.f64 a)) (-.f64 (-.f64 (tan.f64 (+.f64 z y)) (tan.f64 a)) x))))
30.3b
(+.f64 x (-.f64 (+.f64 (/.f64 (*.f64 (sin.f64 y) (pow.f64 z 2)) (cos.f64 y)) (+.f64 (/.f64 (sin.f64 y) (cos.f64 y)) (+.f64 z (+.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 y) 2) z) (pow.f64 (cos.f64 y) 2)) (/.f64 (*.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 z 2)) (pow.f64 (cos.f64 y) 3)))))) (tan.f64 a)))
38.6b
(+.f64 (+.f64 x (-.f64 (tan.f64 (+.f64 z y)) (tan.f64 a))) (fma.f64 (neg.f64 (sqrt.f64 (tan.f64 a))) (sqrt.f64 (tan.f64 a)) (*.f64 (sqrt.f64 (tan.f64 a)) (sqrt.f64 (tan.f64 a)))))
0.2b
(+.f64 x (/.f64 (-.f64 (*.f64 (+.f64 (tan.f64 y) (tan.f64 z)) (cos.f64 a)) (*.f64 (-.f64 1 (*.f64 (tan.f64 y) (tan.f64 z))) (sin.f64 a))) (*.f64 (-.f64 1 (*.f64 (tan.f64 y) (tan.f64 z))) (cos.f64 a))))
11.0b
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (-.f64 (tan.f64 (+.f64 y z)) (tan.f64 a)))
10.7b
(/.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))))
Compiler

Compiled 5046 to 1711 computations (66.1% saved)

localize20.0ms (0%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.1b
(+.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))))))
0.1b
(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)))
0.2b
(/.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)))))
0.2b
(*.f64 (tan.f64 y) (tan.f64 z))

series1.0s (1.7%)

Counts
4 → 144
Calls

4 calls:

501.0ms
(+.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))))))
337.0ms
(/.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)))))
129.0ms
(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)))
38.0ms
(*.f64 (tan.f64 y) (tan.f64 z))

rewrite21.0ms (0%)

Algorithm
rewrite-expression-head
Rules
11×*-un-lft-identity_binary64
11×add-sqr-sqrt_binary64
11×add-cbrt-cube_binary64
11×add-exp-log_binary64
add-cube-cbrt_binary64
Counts
4 → 75
Calls

4 calls:

5.0ms
(+.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))))))
5.0ms
(/.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)))))
4.0ms
(*.f64 (tan.f64 y) (tan.f64 z))
0.0ms
(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)))

simplify309.0ms (0.5%)

Algorithm
egg-herbie
Rules
351×times-frac_binary64
331×associate-/l*_binary64
273×associate-*r*_binary64
257×fma-def_binary64
243×associate-/r*_binary64
Counts
219 → 212
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
055016508
1161416158
2492116158
3504116158

prune519.0ms (0.9%)

Pruning

9 alts after pruning (9 fresh and 0 done)

PrunedKeptTotal
New2486254
Fresh437
Picked101
Done000
Total2539262
Error
0.0b
Counts
262 → 9
Alt Table
StatusErrorProgram
0.6b
(fma.f64 (sqrt.f64 x) (sqrt.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))))))
0.4b
(/.f64 (-.f64 (*.f64 x x) (*.f64 (/.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))))) (/.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))))))) (-.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)))))))
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 (/.f64 (*.f64 (sin.f64 a) (*.f64 (sin.f64 y) (sin.f64 z))) (*.f64 (cos.f64 a) (*.f64 (-.f64 1 (/.f64 (*.f64 (sin.f64 y) (sin.f64 z)) (*.f64 (cos.f64 y) (cos.f64 z)))) (*.f64 (cos.f64 y) (cos.f64 z))))) (+.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) (*.f64 (cos.f64 a) (-.f64 1 (/.f64 (*.f64 (sin.f64 y) (sin.f64 z)) (*.f64 (cos.f64 y) (cos.f64 z)))))))
0.5b
(/.f64 (+.f64 (pow.f64 (/.f64 (fma.f64 (cos.f64 a) (+.f64 (tan.f64 y) (tan.f64 z)) (*.f64 (sin.f64 a) (fma.f64 (tan.f64 y) (tan.f64 z) -1))) (*.f64 (cos.f64 a) (-.f64 1 (*.f64 (tan.f64 y) (tan.f64 z))))) 3) (pow.f64 x 3)) (fma.f64 x x (*.f64 (/.f64 (fma.f64 (cos.f64 a) (+.f64 (tan.f64 y) (tan.f64 z)) (*.f64 (sin.f64 a) (fma.f64 (tan.f64 y) (tan.f64 z) -1))) (*.f64 (cos.f64 a) (-.f64 1 (*.f64 (tan.f64 y) (tan.f64 z))))) (-.f64 (/.f64 (fma.f64 (cos.f64 a) (+.f64 (tan.f64 y) (tan.f64 z)) (*.f64 (sin.f64 a) (fma.f64 (tan.f64 y) (tan.f64 z) -1))) (*.f64 (cos.f64 a) (-.f64 1 (*.f64 (tan.f64 y) (tan.f64 z))))) x))))
0.5b
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (/.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))))) 3)) (+.f64 (*.f64 x x) (-.f64 (*.f64 (/.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))))) (/.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)))))) (*.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)))))))))
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 (*.f64 (sin.f64 y) (sin.f64 z)) (*.f64 (cos.f64 y) (cos.f64 z)))))))
38.6b
(+.f64 (+.f64 x (-.f64 (tan.f64 (+.f64 z y)) (tan.f64 a))) (fma.f64 (neg.f64 (sqrt.f64 (tan.f64 a))) (sqrt.f64 (tan.f64 a)) (*.f64 (sqrt.f64 (tan.f64 a)) (sqrt.f64 (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)))
11.0b
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (-.f64 (tan.f64 (+.f64 y z)) (tan.f64 a)))
Compiler

Compiled 15730 to 5302 computations (66.3% 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 x (-.f64 (/.f64 (+.f64 (tan.f64 y) (tan.f64 z)) (-.f64 1 (*.f64 (tan.f64 y) (tan.f64 z)))) (tan.f64 a)))
0.1b
(-.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))

series872.0ms (1.5%)

Counts
3 → 108
Calls

3 calls:

418.0ms
(+.f64 x (-.f64 (/.f64 (+.f64 (tan.f64 y) (tan.f64 z)) (-.f64 1 (*.f64 (tan.f64 y) (tan.f64 z)))) (tan.f64 a)))
330.0ms
(-.f64 (/.f64 (+.f64 (tan.f64 y) (tan.f64 z)) (-.f64 1 (*.f64 (tan.f64 y) (tan.f64 z)))) (tan.f64 a))
123.0ms
(/.f64 (+.f64 (tan.f64 y) (tan.f64 z)) (-.f64 1 (*.f64 (tan.f64 y) (tan.f64 z))))

rewrite129.0ms (0.2%)

Algorithm
rewrite-expression-head
Rules
164×*-un-lft-identity_binary64
112×add-sqr-sqrt_binary64
108×prod-diff_binary64
107×add-cube-cbrt_binary64
97×times-frac_binary64
Counts
3 → 208
Calls

3 calls:

71.0ms
(-.f64 (/.f64 (+.f64 (tan.f64 y) (tan.f64 z)) (-.f64 1 (*.f64 (tan.f64 y) (tan.f64 z)))) (tan.f64 a))
14.0ms
(+.f64 x (-.f64 (/.f64 (+.f64 (tan.f64 y) (tan.f64 z)) (-.f64 1 (*.f64 (tan.f64 y) (tan.f64 z)))) (tan.f64 a)))
6.0ms
(/.f64 (+.f64 (tan.f64 y) (tan.f64 z)) (-.f64 1 (*.f64 (tan.f64 y) (tan.f64 z))))

simplify373.0ms (0.6%)

Algorithm
egg-herbie
Rules
724×times-frac_binary64
288×+-commutative_binary64
288×associate-+r+_binary64
230×associate-+l+_binary64
201×fma-neg_binary64
Counts
316 → 298
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
041816819
199015200
2335414552
3494214551
4496914551

prune634.0ms (1.1%)

Pruning

8 alts after pruning (8 fresh and 0 done)

PrunedKeptTotal
New3355340
Fresh538
Picked101
Done000
Total3418349
Error
0.0b
Counts
349 → 8
Alt Table
StatusErrorProgram
0.3b
(+.f64 x (fma.f64 (*.f64 (cbrt.f64 (/.f64 (+.f64 (tan.f64 y) (tan.f64 z)) (-.f64 1 (*.f64 (tan.f64 y) (tan.f64 z))))) (cbrt.f64 (/.f64 (+.f64 (tan.f64 y) (tan.f64 z)) (-.f64 1 (*.f64 (tan.f64 y) (tan.f64 z)))))) (cbrt.f64 (/.f64 (+.f64 (tan.f64 y) (tan.f64 z)) (-.f64 1 (*.f64 (tan.f64 y) (tan.f64 z))))) (neg.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))))
0.3b
(-.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 (/.f64 (*.f64 (sin.f64 a) (*.f64 (sin.f64 y) (sin.f64 z))) (*.f64 (cos.f64 a) (*.f64 (-.f64 1 (/.f64 (*.f64 (sin.f64 y) (sin.f64 z)) (*.f64 (cos.f64 y) (cos.f64 z)))) (*.f64 (cos.f64 y) (cos.f64 z))))) (+.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) (*.f64 (cos.f64 a) (-.f64 1 (/.f64 (*.f64 (sin.f64 y) (sin.f64 z)) (*.f64 (cos.f64 y) (cos.f64 z)))))))
0.5b
(/.f64 (+.f64 (pow.f64 (/.f64 (fma.f64 (cos.f64 a) (+.f64 (tan.f64 y) (tan.f64 z)) (*.f64 (sin.f64 a) (fma.f64 (tan.f64 y) (tan.f64 z) -1))) (*.f64 (cos.f64 a) (-.f64 1 (*.f64 (tan.f64 y) (tan.f64 z))))) 3) (pow.f64 x 3)) (fma.f64 x x (*.f64 (/.f64 (fma.f64 (cos.f64 a) (+.f64 (tan.f64 y) (tan.f64 z)) (*.f64 (sin.f64 a) (fma.f64 (tan.f64 y) (tan.f64 z) -1))) (*.f64 (cos.f64 a) (-.f64 1 (*.f64 (tan.f64 y) (tan.f64 z))))) (-.f64 (/.f64 (fma.f64 (cos.f64 a) (+.f64 (tan.f64 y) (tan.f64 z)) (*.f64 (sin.f64 a) (fma.f64 (tan.f64 y) (tan.f64 z) -1))) (*.f64 (cos.f64 a) (-.f64 1 (*.f64 (tan.f64 y) (tan.f64 z))))) x))))
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 (*.f64 (sin.f64 y) (sin.f64 z)) (*.f64 (cos.f64 y) (cos.f64 z)))))))
4.7b
(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)))))
0.6b
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (-.f64 (/.f64 (+.f64 (tan.f64 y) (tan.f64 z)) (-.f64 1 (*.f64 (tan.f64 y) (tan.f64 z)))) (tan.f64 a)))
33.0b
(+.f64 (+.f64 x (fma.f64 (/.f64 (+.f64 (tan.f64 y) (tan.f64 z)) (-.f64 1 (pow.f64 (*.f64 (tan.f64 y) (tan.f64 z)) 3))) (fma.f64 (*.f64 (tan.f64 y) (tan.f64 z)) (fma.f64 (tan.f64 y) (tan.f64 z) 1) 1) (neg.f64 (tan.f64 a)))) (fma.f64 (neg.f64 (sqrt.f64 (tan.f64 a))) (sqrt.f64 (tan.f64 a)) (*.f64 (sqrt.f64 (tan.f64 a)) (sqrt.f64 (tan.f64 a)))))
Compiler

Compiled 15409 to 4853 computations (68.5% saved)

localize29.0ms (0%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.2b
(/.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 (*.f64 (sin.f64 y) (sin.f64 z)) (*.f64 (cos.f64 y) (cos.f64 z))))))
0.2b
(*.f64 (sin.f64 y) (sin.f64 z))
0.2b
(*.f64 (tan.f64 y) (tan.f64 z))
0.3b
(/.f64 (*.f64 (sin.f64 y) (sin.f64 z)) (*.f64 (cos.f64 y) (cos.f64 z)))

series388.0ms (0.7%)

Counts
3 → 52
Calls

3 calls:

338.0ms
(/.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 (*.f64 (sin.f64 y) (sin.f64 z)) (*.f64 (cos.f64 y) (cos.f64 z))))))
40.0ms
(/.f64 (*.f64 (sin.f64 y) (sin.f64 z)) (*.f64 (cos.f64 y) (cos.f64 z)))
10.0ms
(*.f64 (sin.f64 y) (sin.f64 z))

rewrite26.0ms (0%)

Algorithm
rewrite-expression-head
Rules
22×add-cbrt-cube_binary64
22×add-exp-log_binary64
add-sqr-sqrt_binary64
*-un-lft-identity_binary64
add-cube-cbrt_binary64
Counts
3 → 71
Calls

3 calls:

12.0ms
(/.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 (*.f64 (sin.f64 y) (sin.f64 z)) (*.f64 (cos.f64 y) (cos.f64 z))))))
5.0ms
(/.f64 (*.f64 (sin.f64 y) (sin.f64 z)) (*.f64 (cos.f64 y) (cos.f64 z)))
4.0ms
(*.f64 (sin.f64 y) (sin.f64 z))

simplify157.0ms (0.3%)

Algorithm
egg-herbie
Rules
511×times-frac_binary64
364×associate-/l*_binary64
278×associate-*r*_binary64
270×associate-/r*_binary64
250×associate-*l*_binary64
Counts
123 → 172
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
04046972
111536526
249956526
350996526

prune515.0ms (0.9%)

Pruning

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New2140214
Fresh077
Picked011
Done000
Total2148222
Error
0.0b
Counts
222 → 8
Alt Table
StatusErrorProgram
0.3b
(+.f64 x (fma.f64 (*.f64 (cbrt.f64 (/.f64 (+.f64 (tan.f64 y) (tan.f64 z)) (-.f64 1 (*.f64 (tan.f64 y) (tan.f64 z))))) (cbrt.f64 (/.f64 (+.f64 (tan.f64 y) (tan.f64 z)) (-.f64 1 (*.f64 (tan.f64 y) (tan.f64 z)))))) (cbrt.f64 (/.f64 (+.f64 (tan.f64 y) (tan.f64 z)) (-.f64 1 (*.f64 (tan.f64 y) (tan.f64 z))))) (neg.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))))
0.3b
(-.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 (/.f64 (*.f64 (sin.f64 a) (*.f64 (sin.f64 y) (sin.f64 z))) (*.f64 (cos.f64 a) (*.f64 (-.f64 1 (/.f64 (*.f64 (sin.f64 y) (sin.f64 z)) (*.f64 (cos.f64 y) (cos.f64 z)))) (*.f64 (cos.f64 y) (cos.f64 z))))) (+.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) (*.f64 (cos.f64 a) (-.f64 1 (/.f64 (*.f64 (sin.f64 y) (sin.f64 z)) (*.f64 (cos.f64 y) (cos.f64 z)))))))
0.5b
(/.f64 (+.f64 (pow.f64 (/.f64 (fma.f64 (cos.f64 a) (+.f64 (tan.f64 y) (tan.f64 z)) (*.f64 (sin.f64 a) (fma.f64 (tan.f64 y) (tan.f64 z) -1))) (*.f64 (cos.f64 a) (-.f64 1 (*.f64 (tan.f64 y) (tan.f64 z))))) 3) (pow.f64 x 3)) (fma.f64 x x (*.f64 (/.f64 (fma.f64 (cos.f64 a) (+.f64 (tan.f64 y) (tan.f64 z)) (*.f64 (sin.f64 a) (fma.f64 (tan.f64 y) (tan.f64 z) -1))) (*.f64 (cos.f64 a) (-.f64 1 (*.f64 (tan.f64 y) (tan.f64 z))))) (-.f64 (/.f64 (fma.f64 (cos.f64 a) (+.f64 (tan.f64 y) (tan.f64 z)) (*.f64 (sin.f64 a) (fma.f64 (tan.f64 y) (tan.f64 z) -1))) (*.f64 (cos.f64 a) (-.f64 1 (*.f64 (tan.f64 y) (tan.f64 z))))) x))))
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 (*.f64 (sin.f64 y) (sin.f64 z)) (*.f64 (cos.f64 y) (cos.f64 z)))))))
4.7b
(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)))))
0.6b
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (-.f64 (/.f64 (+.f64 (tan.f64 y) (tan.f64 z)) (-.f64 1 (*.f64 (tan.f64 y) (tan.f64 z)))) (tan.f64 a)))
33.0b
(+.f64 (+.f64 x (fma.f64 (/.f64 (+.f64 (tan.f64 y) (tan.f64 z)) (-.f64 1 (pow.f64 (*.f64 (tan.f64 y) (tan.f64 z)) 3))) (fma.f64 (*.f64 (tan.f64 y) (tan.f64 z)) (fma.f64 (tan.f64 y) (tan.f64 z) 1) 1) (neg.f64 (tan.f64 a)))) (fma.f64 (neg.f64 (sqrt.f64 (tan.f64 a))) (sqrt.f64 (tan.f64 a)) (*.f64 (sqrt.f64 (tan.f64 a)) (sqrt.f64 (tan.f64 a)))))
Compiler

Compiled 12015 to 3832 computations (68.1% saved)

regimes6.7s (11.4%)

Accuracy

Total 0.1b remaining (69.7%)

Threshold costs 0.1b (69.7%)

Counts
430 → 1
Compiler

Compiled 153554 to 85565 computations (44.3% 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
02760
14160
25160
36160
46960
57360
67460
77360

end10.0ms (0%)

Remove

(sort y z)

Compiler

Compiled 123 to 78 computations (36.6% saved)

sample3.7s (6.3%)

Algorithm
intervals
Results
1.6s4579×body1024valid
701.0ms8000×pre128true
334.0ms1383×body512valid
182.0ms199×body2048valid
98.0ms545×body256valid
97.0ms1294×body128valid
Compiler

Compiled 572 to 295 computations (48.4% saved)

Profiling

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