Details

Time bar (total: 44.2s)

analyze24.5s (55.4%)

Algorithm
1×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)

sample5.7s (12.9%)

Symmetry

(sort y z)

Results
3.7s4745×body1024valid
1.0s1388×body512valid
322.0ms1333×body128valid
314.0ms235×body2048valid
216.0ms555×body256valid
Compiler

Compiled 157 to 115 computations (26.8% saved)

simplify15.0ms (0%)

Algorithm
1×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
13.3b
Counts
2 → 1
Alt Table
StatusErrorProgram
▶13.3b
(+.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 (tan.f64 (+.f64 y z)) (tan.f64 a))
✓0.2b
(+.f64 x (-.f64 (tan.f64 (+.f64 y z)) (tan.f64 a)))
✓2.0b
(tan.f64 (+.f64 y z))

series182.0ms (0.4%)

Counts
3 → 108
Calls

3 calls:

88.0ms
(+.f64 x (-.f64 (tan.f64 (+.f64 y z)) (tan.f64 a)))
62.0ms
(-.f64 (tan.f64 (+.f64 y z)) (tan.f64 a))
31.0ms
(tan.f64 (+.f64 y z))

rewrite19.0ms (0%)

Algorithm
1×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:

7.0ms
(+.f64 x (-.f64 (tan.f64 (+.f64 y z)) (tan.f64 a)))
5.0ms
(-.f64 (tan.f64 (+.f64 y z)) (tan.f64 a))
3.0ms
(tan.f64 (+.f64 y z))

simplify187.0ms (0.4%)

Algorithm
1×egg-herbie
Rules
658×times-frac_binary64
273×associate-+r+_binary64
218×+-commutative_binary64
209×fma-neg_binary64
202×associate-+l+_binary64
Counts
184 → 171
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
02854874
17434585
224614488
348124487
449824486
549964486
649254486

prune208.0ms (0.5%)

Pruning

9 alts after pruning (9 fresh and 0 done)

PrunedKeptTotal
New1629171
Fresh000
Picked101
Done000
Total1639172
Error
0.1b
Counts
172 → 9
Alt Table
StatusErrorProgram
13.5b
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (-.f64 (tan.f64 (+.f64 y z)) (tan.f64 a)) 3)) (+.f64 (*.f64 x x) (-.f64 (*.f64 (-.f64 (tan.f64 (+.f64 y z)) (tan.f64 a)) (-.f64 (tan.f64 (+.f64 y z)) (tan.f64 a))) (*.f64 x (-.f64 (tan.f64 (+.f64 y z)) (tan.f64 a))))))
33.7b
(+.f64 x (-.f64 (+.f64 (/.f64 (sin.f64 y) (cos.f64 y)) (+.f64 z (/.f64 (*.f64 (pow.f64 (sin.f64 y) 2) z) (pow.f64 (cos.f64 y) 2)))) (tan.f64 a)))
13.6b
(cbrt.f64 (*.f64 (*.f64 (+.f64 x (-.f64 (tan.f64 (+.f64 y z)) (tan.f64 a))) (+.f64 x (-.f64 (tan.f64 (+.f64 y z)) (tan.f64 a)))) (+.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)))
13.3b
(log.f64 (*.f64 (exp.f64 x) (/.f64 (exp.f64 (tan.f64 (+.f64 y z))) (exp.f64 (tan.f64 a)))))
15.3b
(+.f64 x (log1p.f64 (expm1.f64 (-.f64 (tan.f64 (+.f64 y z)) (tan.f64 a)))))
0.3b
(+.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
(/.f64 (-.f64 (*.f64 x x) (*.f64 (-.f64 (tan.f64 (+.f64 y z)) (tan.f64 a)) (-.f64 (tan.f64 (+.f64 y z)) (tan.f64 a)))) (-.f64 x (-.f64 (tan.f64 (+.f64 y z)) (tan.f64 a))))
37.9b
(+.f64 x (*.f64 (sqrt.f64 (-.f64 (tan.f64 (+.f64 y z)) (tan.f64 a))) (sqrt.f64 (-.f64 (tan.f64 (+.f64 y z)) (tan.f64 a)))))
Compiler

Compiled 5004 to 1691 computations (66.2% saved)

localize13.0ms (0%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓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 (+.f64 (tan.f64 y) (tan.f64 z)) (-.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)))
✓0.3b
(*.f64 (tan.f64 y) (tan.f64 z))

series906.0ms (2%)

Counts
4 → 132
Calls

4 calls:

412.0ms
(+.f64 x (-.f64 (/.f64 (+.f64 (tan.f64 y) (tan.f64 z)) (-.f64 1 (*.f64 (tan.f64 y) (tan.f64 z)))) (tan.f64 a)))
333.0ms
(-.f64 (/.f64 (+.f64 (tan.f64 y) (tan.f64 z)) (-.f64 1 (*.f64 (tan.f64 y) (tan.f64 z)))) (tan.f64 a))
121.0ms
(/.f64 (+.f64 (tan.f64 y) (tan.f64 z)) (-.f64 1 (*.f64 (tan.f64 y) (tan.f64 z))))
38.0ms
(*.f64 (tan.f64 y) (tan.f64 z))

rewrite65.0ms (0.1%)

Algorithm
1×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:

12.0ms
(+.f64 x (-.f64 (/.f64 (+.f64 (tan.f64 y) (tan.f64 z)) (-.f64 1 (*.f64 (tan.f64 y) (tan.f64 z)))) (tan.f64 a)))
10.0ms
(-.f64 (/.f64 (+.f64 (tan.f64 y) (tan.f64 z)) (-.f64 1 (*.f64 (tan.f64 y) (tan.f64 z)))) (tan.f64 a))
7.0ms
(/.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))

simplify316.0ms (0.7%)

Algorithm
1×egg-herbie
Rules
829×times-frac_binary64
304×+-commutative_binary64
304×associate-+r+_binary64
242×associate-+l+_binary64
144×associate-*l*_binary64
Counts
363 → 346
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
048917507
1115216044
2377515738
3520615738

prune854.0ms (1.9%)

Pruning

12 alts after pruning (12 fresh and 0 done)

PrunedKeptTotal
New33511346
Fresh718
Picked101
Done000
Total34312355
Error
0.0b
Counts
355 → 12
Alt Table
StatusErrorProgram
4.2b
(+.f64 (+.f64 x (fma.f64 (/.f64 1 (sqrt.f64 (-.f64 1 (*.f64 (tan.f64 y) (tan.f64 z))))) (/.f64 (+.f64 (tan.f64 y) (tan.f64 z)) (sqrt.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))))))
2.1b
(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)))))
0.4b
(+.f64 x (-.f64 (/.f64 (*.f64 (cbrt.f64 (+.f64 (tan.f64 y) (tan.f64 z))) (cbrt.f64 (+.f64 (tan.f64 y) (tan.f64 z)))) (/.f64 (-.f64 1 (*.f64 (tan.f64 y) (tan.f64 z))) (cbrt.f64 (+.f64 (tan.f64 y) (tan.f64 z))))) (tan.f64 a)))
0.2b
(+.f64 x (-.f64 (/.f64 (+.f64 (*.f64 (sin.f64 y) (cos.f64 z)) (*.f64 (cos.f64 y) (sin.f64 z))) (*.f64 (-.f64 1 (*.f64 (tan.f64 y) (tan.f64 z))) (*.f64 (cos.f64 y) (cos.f64 z)))) (tan.f64 a)))
0.5b
(/.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))))
37.9b
(+.f64 x (*.f64 (sqrt.f64 (-.f64 (tan.f64 (+.f64 y z)) (tan.f64 a))) (sqrt.f64 (-.f64 (tan.f64 (+.f64 y z)) (tan.f64 a)))))
0.6b
(/.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))))))
1.3b
(*.f64 (*.f64 (cbrt.f64 (+.f64 x (-.f64 (/.f64 (+.f64 (tan.f64 y) (tan.f64 z)) (-.f64 1 (*.f64 (tan.f64 y) (tan.f64 z)))) (tan.f64 a)))) (cbrt.f64 (+.f64 x (-.f64 (/.f64 (+.f64 (tan.f64 y) (tan.f64 z)) (-.f64 1 (*.f64 (tan.f64 y) (tan.f64 z)))) (tan.f64 a))))) (cbrt.f64 (+.f64 x (-.f64 (/.f64 (+.f64 (tan.f64 y) (tan.f64 z)) (-.f64 1 (*.f64 (tan.f64 y) (tan.f64 z)))) (tan.f64 a)))))
0.5b
(+.f64 (+.f64 x (/.f64 (+.f64 (tan.f64 y) (tan.f64 z)) (-.f64 1 (*.f64 (tan.f64 y) (tan.f64 z))))) (*.f64 (neg.f64 (*.f64 (cbrt.f64 (tan.f64 a)) (cbrt.f64 (tan.f64 a)))) (cbrt.f64 (tan.f64 a))))
0.3b
(+.f64 x (/.f64 (fma.f64 (cos.f64 a) (+.f64 (tan.f64 y) (tan.f64 z)) (*.f64 (sin.f64 a) (+.f64 -1 (*.f64 (tan.f64 y) (tan.f64 z))))) (*.f64 (cos.f64 a) (-.f64 1 (*.f64 (tan.f64 y) (tan.f64 z))))))
▶0.2b
(+.f64 x (-.f64 (*.f64 (/.f64 (+.f64 (tan.f64 y) (tan.f64 z)) (-.f64 1 (*.f64 (*.f64 (tan.f64 y) (tan.f64 z)) (*.f64 (tan.f64 y) (tan.f64 z))))) (+.f64 1 (*.f64 (tan.f64 y) (tan.f64 z)))) (tan.f64 a)))
0.5b
(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)))))
Compiler

Compiled 15717 to 5008 computations (68.1% saved)

localize19.0ms (0%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.1b
(-.f64 (*.f64 (/.f64 (+.f64 (tan.f64 y) (tan.f64 z)) (-.f64 1 (*.f64 (*.f64 (tan.f64 y) (tan.f64 z)) (*.f64 (tan.f64 y) (tan.f64 z))))) (+.f64 1 (*.f64 (tan.f64 y) (tan.f64 z)))) (tan.f64 a))
✓0.2b
(+.f64 x (-.f64 (*.f64 (/.f64 (+.f64 (tan.f64 y) (tan.f64 z)) (-.f64 1 (*.f64 (*.f64 (tan.f64 y) (tan.f64 z)) (*.f64 (tan.f64 y) (tan.f64 z))))) (+.f64 1 (*.f64 (tan.f64 y) (tan.f64 z)))) (tan.f64 a)))
0.3b
(*.f64 (tan.f64 y) (tan.f64 z))
✓0.3b
(*.f64 (*.f64 (tan.f64 y) (tan.f64 z)) (*.f64 (tan.f64 y) (tan.f64 z)))

series4.3s (9.7%)

Counts
3 → 108
Calls

3 calls:

2.4s
(+.f64 x (-.f64 (*.f64 (/.f64 (+.f64 (tan.f64 y) (tan.f64 z)) (-.f64 1 (*.f64 (*.f64 (tan.f64 y) (tan.f64 z)) (*.f64 (tan.f64 y) (tan.f64 z))))) (+.f64 1 (*.f64 (tan.f64 y) (tan.f64 z)))) (tan.f64 a)))
1.8s
(-.f64 (*.f64 (/.f64 (+.f64 (tan.f64 y) (tan.f64 z)) (-.f64 1 (*.f64 (*.f64 (tan.f64 y) (tan.f64 z)) (*.f64 (tan.f64 y) (tan.f64 z))))) (+.f64 1 (*.f64 (tan.f64 y) (tan.f64 z)))) (tan.f64 a))
65.0ms
(*.f64 (*.f64 (tan.f64 y) (tan.f64 z)) (*.f64 (tan.f64 y) (tan.f64 z)))

rewrite34.0ms (0.1%)

Algorithm
1×rewrite-expression-head
Rules
42×pow1_binary64
37×tan-quot_binary64
19×frac-times_binary64
17×pow-prod-down_binary64
15×add-cbrt-cube_binary64
Counts
3 → 106
Calls

3 calls:

9.0ms
(+.f64 x (-.f64 (*.f64 (/.f64 (+.f64 (tan.f64 y) (tan.f64 z)) (-.f64 1 (*.f64 (*.f64 (tan.f64 y) (tan.f64 z)) (*.f64 (tan.f64 y) (tan.f64 z))))) (+.f64 1 (*.f64 (tan.f64 y) (tan.f64 z)))) (tan.f64 a)))
9.0ms
(-.f64 (*.f64 (/.f64 (+.f64 (tan.f64 y) (tan.f64 z)) (-.f64 1 (*.f64 (*.f64 (tan.f64 y) (tan.f64 z)) (*.f64 (tan.f64 y) (tan.f64 z))))) (+.f64 1 (*.f64 (tan.f64 y) (tan.f64 z)))) (tan.f64 a))
7.0ms
(*.f64 (*.f64 (tan.f64 y) (tan.f64 z)) (*.f64 (tan.f64 y) (tan.f64 z)))

simplify401.0ms (0.9%)

Algorithm
1×egg-herbie
Rules
328×associate-*l*_binary64
313×associate-*r*_binary64
255×associate-+r+_binary64
229×+-commutative_binary64
228×fma-neg_binary64
Counts
214 → 216
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
041520758
1117520194
2433820128
3486419638
4495819638

prune714.0ms (1.6%)

Pruning

11 alts after pruning (11 fresh and 0 done)

PrunedKeptTotal
New3366342
Fresh6511
Picked101
Done000
Total34311354
Error
0.0b
Counts
354 → 11
Alt Table
StatusErrorProgram
0.5b
(log.f64 (*.f64 (exp.f64 x) (exp.f64 (-.f64 (*.f64 (/.f64 (+.f64 (tan.f64 y) (tan.f64 z)) (-.f64 1 (*.f64 (*.f64 (tan.f64 y) (tan.f64 z)) (*.f64 (tan.f64 y) (tan.f64 z))))) (+.f64 1 (*.f64 (tan.f64 y) (tan.f64 z)))) (tan.f64 a)))))
4.2b
(+.f64 (+.f64 x (fma.f64 (/.f64 1 (sqrt.f64 (-.f64 1 (*.f64 (tan.f64 y) (tan.f64 z))))) (/.f64 (+.f64 (tan.f64 y) (tan.f64 z)) (sqrt.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))))))
2.1b
(log1p.f64 (expm1.f64 (+.f64 x (-.f64 (*.f64 (/.f64 (+.f64 (tan.f64 y) (tan.f64 z)) (-.f64 1 (*.f64 (*.f64 (tan.f64 y) (tan.f64 z)) (*.f64 (tan.f64 y) (tan.f64 z))))) (+.f64 1 (*.f64 (tan.f64 y) (tan.f64 z)))) (tan.f64 a)))))
▶0.2b
(+.f64 x (-.f64 (*.f64 (/.f64 (+.f64 (tan.f64 y) (tan.f64 z)) (-.f64 1 (/.f64 (*.f64 (*.f64 (sin.f64 y) (tan.f64 z)) (*.f64 (tan.f64 y) (sin.f64 z))) (*.f64 (cos.f64 y) (cos.f64 z))))) (+.f64 1 (*.f64 (tan.f64 y) (tan.f64 z)))) (tan.f64 a)))
0.5b
(/.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))))
37.9b
(+.f64 x (*.f64 (sqrt.f64 (-.f64 (tan.f64 (+.f64 y z)) (tan.f64 a))) (sqrt.f64 (-.f64 (tan.f64 (+.f64 y z)) (tan.f64 a)))))
0.6b
(/.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))))))
0.5b
(log.f64 (*.f64 (exp.f64 x) (/.f64 (exp.f64 (*.f64 (/.f64 (+.f64 (tan.f64 y) (tan.f64 z)) (-.f64 1 (*.f64 (*.f64 (tan.f64 y) (tan.f64 z)) (*.f64 (tan.f64 y) (tan.f64 z))))) (+.f64 1 (*.f64 (tan.f64 y) (tan.f64 z))))) (exp.f64 (tan.f64 a)))))
0.3b
(+.f64 x (/.f64 (fma.f64 (cos.f64 a) (+.f64 (tan.f64 y) (tan.f64 z)) (*.f64 (sin.f64 a) (+.f64 -1 (*.f64 (tan.f64 y) (tan.f64 z))))) (*.f64 (cos.f64 a) (-.f64 1 (*.f64 (tan.f64 y) (tan.f64 z))))))
0.2b
(+.f64 x (-.f64 (*.f64 (/.f64 (+.f64 (tan.f64 y) (tan.f64 z)) (-.f64 1 (*.f64 (*.f64 (tan.f64 y) (tan.f64 z)) (*.f64 (tan.f64 y) (tan.f64 z))))) (+.f64 1 (*.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)))))) (tan.f64 a)))
1.3b
(*.f64 (*.f64 (cbrt.f64 (-.f64 (fma.f64 (/.f64 (+.f64 (tan.f64 y) (tan.f64 z)) (-.f64 1 (pow.f64 (*.f64 (tan.f64 y) (tan.f64 z)) 2))) (fma.f64 (tan.f64 y) (tan.f64 z) 1) x) (tan.f64 a))) (cbrt.f64 (-.f64 (fma.f64 (/.f64 (+.f64 (tan.f64 y) (tan.f64 z)) (-.f64 1 (pow.f64 (*.f64 (tan.f64 y) (tan.f64 z)) 2))) (fma.f64 (tan.f64 y) (tan.f64 z) 1) x) (tan.f64 a)))) (cbrt.f64 (-.f64 (fma.f64 (/.f64 (+.f64 (tan.f64 y) (tan.f64 z)) (-.f64 1 (pow.f64 (*.f64 (tan.f64 y) (tan.f64 z)) 2))) (fma.f64 (tan.f64 y) (tan.f64 z) 1) x) (tan.f64 a))))
Compiler

Compiled 18369 to 6946 computations (62.2% saved)

localize23.0ms (0.1%)

Local error

Found 4 expressions with local error:

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

series139.0ms (0.3%)

Counts
3 → 72
Calls

3 calls:

96.0ms
(/.f64 (*.f64 (*.f64 (sin.f64 y) (tan.f64 z)) (*.f64 (tan.f64 y) (sin.f64 z))) (*.f64 (cos.f64 y) (cos.f64 z)))
22.0ms
(*.f64 (tan.f64 y) (sin.f64 z))
21.0ms
(*.f64 (sin.f64 y) (tan.f64 z))

rewrite23.0ms (0.1%)

Algorithm
1×rewrite-expression-head
Rules
48×add-cbrt-cube_binary64
48×add-exp-log_binary64
23×cbrt-unprod_binary64
23×prod-exp_binary64
11×add-sqr-sqrt_binary64
Counts
3 → 81
Calls

3 calls:

9.0ms
(/.f64 (*.f64 (*.f64 (sin.f64 y) (tan.f64 z)) (*.f64 (tan.f64 y) (sin.f64 z))) (*.f64 (cos.f64 y) (cos.f64 z)))
3.0ms
(*.f64 (sin.f64 y) (tan.f64 z))
3.0ms
(*.f64 (tan.f64 y) (sin.f64 z))

simplify91.0ms (0.2%)

Algorithm
1×egg-herbie
Rules
573×times-frac_binary64
488×fma-def_binary64
437×associate-/l/_binary64
309×associate-/l*_binary64
275×associate-*r*_binary64
Counts
153 → 160
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02764090
17263385
231433343
350243343

prune478.0ms (1.1%)

Pruning

11 alts after pruning (10 fresh and 1 done)

PrunedKeptTotal
New2020202
Fresh01010
Picked011
Done000
Total20211213
Error
0.0b
Counts
213 → 11
Alt Table
StatusErrorProgram
0.5b
(log.f64 (*.f64 (exp.f64 x) (exp.f64 (-.f64 (*.f64 (/.f64 (+.f64 (tan.f64 y) (tan.f64 z)) (-.f64 1 (*.f64 (*.f64 (tan.f64 y) (tan.f64 z)) (*.f64 (tan.f64 y) (tan.f64 z))))) (+.f64 1 (*.f64 (tan.f64 y) (tan.f64 z)))) (tan.f64 a)))))
4.2b
(+.f64 (+.f64 x (fma.f64 (/.f64 1 (sqrt.f64 (-.f64 1 (*.f64 (tan.f64 y) (tan.f64 z))))) (/.f64 (+.f64 (tan.f64 y) (tan.f64 z)) (sqrt.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))))))
2.1b
(log1p.f64 (expm1.f64 (+.f64 x (-.f64 (*.f64 (/.f64 (+.f64 (tan.f64 y) (tan.f64 z)) (-.f64 1 (*.f64 (*.f64 (tan.f64 y) (tan.f64 z)) (*.f64 (tan.f64 y) (tan.f64 z))))) (+.f64 1 (*.f64 (tan.f64 y) (tan.f64 z)))) (tan.f64 a)))))
✓0.2b
(+.f64 x (-.f64 (*.f64 (/.f64 (+.f64 (tan.f64 y) (tan.f64 z)) (-.f64 1 (/.f64 (*.f64 (*.f64 (sin.f64 y) (tan.f64 z)) (*.f64 (tan.f64 y) (sin.f64 z))) (*.f64 (cos.f64 y) (cos.f64 z))))) (+.f64 1 (*.f64 (tan.f64 y) (tan.f64 z)))) (tan.f64 a)))
0.5b
(/.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))))
37.9b
(+.f64 x (*.f64 (sqrt.f64 (-.f64 (tan.f64 (+.f64 y z)) (tan.f64 a))) (sqrt.f64 (-.f64 (tan.f64 (+.f64 y z)) (tan.f64 a)))))
0.6b
(/.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))))))
0.5b
(log.f64 (*.f64 (exp.f64 x) (/.f64 (exp.f64 (*.f64 (/.f64 (+.f64 (tan.f64 y) (tan.f64 z)) (-.f64 1 (*.f64 (*.f64 (tan.f64 y) (tan.f64 z)) (*.f64 (tan.f64 y) (tan.f64 z))))) (+.f64 1 (*.f64 (tan.f64 y) (tan.f64 z))))) (exp.f64 (tan.f64 a)))))
0.3b
(+.f64 x (/.f64 (fma.f64 (cos.f64 a) (+.f64 (tan.f64 y) (tan.f64 z)) (*.f64 (sin.f64 a) (+.f64 -1 (*.f64 (tan.f64 y) (tan.f64 z))))) (*.f64 (cos.f64 a) (-.f64 1 (*.f64 (tan.f64 y) (tan.f64 z))))))
0.2b
(+.f64 x (-.f64 (*.f64 (/.f64 (+.f64 (tan.f64 y) (tan.f64 z)) (-.f64 1 (*.f64 (*.f64 (tan.f64 y) (tan.f64 z)) (*.f64 (tan.f64 y) (tan.f64 z))))) (+.f64 1 (*.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)))))) (tan.f64 a)))
1.3b
(*.f64 (*.f64 (cbrt.f64 (-.f64 (fma.f64 (/.f64 (+.f64 (tan.f64 y) (tan.f64 z)) (-.f64 1 (pow.f64 (*.f64 (tan.f64 y) (tan.f64 z)) 2))) (fma.f64 (tan.f64 y) (tan.f64 z) 1) x) (tan.f64 a))) (cbrt.f64 (-.f64 (fma.f64 (/.f64 (+.f64 (tan.f64 y) (tan.f64 z)) (-.f64 1 (pow.f64 (*.f64 (tan.f64 y) (tan.f64 z)) 2))) (fma.f64 (tan.f64 y) (tan.f64 z) 1) x) (tan.f64 a)))) (cbrt.f64 (-.f64 (fma.f64 (/.f64 (+.f64 (tan.f64 y) (tan.f64 z)) (-.f64 1 (pow.f64 (*.f64 (tan.f64 y) (tan.f64 z)) 2))) (fma.f64 (tan.f64 y) (tan.f64 z) 1) x) (tan.f64 a))))
Compiler

Compiled 10400 to 3270 computations (68.6% saved)

regimes4.7s (10.5%)

Accuracy

Total 0.1b remaining (68%)

Threshold costs 0.1b (68%)

Counts
332 → 1
Compiler

Compiled 106593 to 59856 computations (43.8% saved)

simplify4.0ms (0%)

Algorithm
1×egg-herbie
Rules
13×+-commutative_binary64
12×*-commutative_binary64
10×sub-neg_binary64
8×neg-sub0_binary64
8×neg-mul-1_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02257
13557
24457
35657
47557
58657
69457
79757
89657

end369.0ms (0.8%)

Compiler

Compiled 712 to 358 computations (49.7% saved)

Profiling

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