Details

Time bar (total: 43.2s)

analyze25.0s (58%)

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 (13.2%)

Symmetry

(sort y z)

Results
3.9s4710×body1024valid
798.0ms1400×body512valid
360.0ms238×body2048valid
296.0ms1366×body128valid
214.0ms542×body256valid
Compiler

Compiled 157 to 115 computations (26.8% saved)

simplify18.0ms (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
14.3b
Counts
2 → 1
Alt Table
StatusErrorProgram
▶14.3b
(+.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)))
✓4.1b
(tan.f64 (+.f64 y z))

series168.0ms (0.4%)

Counts
3 → 108
Calls

3 calls:

78.0ms
(+.f64 x (-.f64 (tan.f64 (+.f64 y z)) (tan.f64 a)))
60.0ms
(-.f64 (tan.f64 (+.f64 y z)) (tan.f64 a))
28.0ms
(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:

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

simplify191.0ms (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

prune209.0ms (0.5%)

Pruning

10 alts after pruning (10 fresh and 0 done)

PrunedKeptTotal
New16110171
Fresh000
Picked101
Done000
Total16210172
Error
0.2b
Counts
172 → 10
Alt Table
StatusErrorProgram
0.3b
(+.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))))
14.7b
(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)))))
14.4b
(log.f64 (exp.f64 (+.f64 x (-.f64 (tan.f64 (+.f64 z y)) (tan.f64 a)))))
▶0.3b
(+.f64 x (-.f64 (/.f64 (+.f64 (tan.f64 y) (tan.f64 z)) (-.f64 1 (*.f64 (tan.f64 y) (tan.f64 z)))) (tan.f64 a)))
14.5b
(/.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))))
14.6b
(/.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))))
15.2b
(*.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)))))
0.3b
(+.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))))))
14.4b
(-.f64 (+.f64 (/.f64 (sin.f64 (+.f64 y z)) (cos.f64 (+.f64 y z))) x) (/.f64 (sin.f64 a) (cos.f64 a)))
14.4b
(log.f64 (*.f64 (exp.f64 x) (/.f64 (exp.f64 (tan.f64 (+.f64 y z))) (exp.f64 (tan.f64 a)))))
Compiler

Compiled 5058 to 1711 computations (66.2% saved)

localize14.0ms (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))))
✓0.2b
(-.f64 (/.f64 (+.f64 (tan.f64 y) (tan.f64 z)) (-.f64 1 (*.f64 (tan.f64 y) (tan.f64 z)))) (tan.f64 a))
✓0.2b
(+.f64 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))

series843.0ms (2%)

Counts
4 → 132
Calls

4 calls:

383.0ms
(+.f64 x (-.f64 (/.f64 (+.f64 (tan.f64 y) (tan.f64 z)) (-.f64 1 (*.f64 (tan.f64 y) (tan.f64 z)))) (tan.f64 a)))
314.0ms
(-.f64 (/.f64 (+.f64 (tan.f64 y) (tan.f64 z)) (-.f64 1 (*.f64 (tan.f64 y) (tan.f64 z)))) (tan.f64 a))
111.0ms
(/.f64 (+.f64 (tan.f64 y) (tan.f64 z)) (-.f64 1 (*.f64 (tan.f64 y) (tan.f64 z))))
34.0ms
(*.f64 (tan.f64 y) (tan.f64 z))

rewrite74.0ms (0.2%)

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:

19.0ms
(+.f64 x (-.f64 (/.f64 (+.f64 (tan.f64 y) (tan.f64 z)) (-.f64 1 (*.f64 (tan.f64 y) (tan.f64 z)))) (tan.f64 a)))
11.0ms
(-.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))

simplify300.0ms (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

prune690.0ms (1.6%)

Pruning

13 alts after pruning (13 fresh and 0 done)

PrunedKeptTotal
New33511346
Fresh729
Picked101
Done000
Total34313356
Error
0.1b
Counts
356 → 13
Alt Table
StatusErrorProgram
0.3b
(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)))))
14.5b
(/.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))))
0.3b
(+.f64 x (-.f64 (/.f64 (+.f64 (tan.f64 y) (tan.f64 z)) (-.f64 1 (cbrt.f64 (pow.f64 (*.f64 (tan.f64 y) (tan.f64 z)) 3)))) (tan.f64 a)))
14.6b
(/.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))))
0.4b
(+.f64 (+.f64 x (fma.f64 1 (/.f64 (+.f64 (tan.f64 y) (tan.f64 z)) (-.f64 1 (*.f64 (tan.f64 y) (tan.f64 z)))) (neg.f64 (*.f64 (cbrt.f64 (tan.f64 a)) (*.f64 (cbrt.f64 (tan.f64 a)) (cbrt.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))))))
0.7b
(/.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
(+.f64 x (+.f64 (-.f64 (pow.f64 (/.f64 (cbrt.f64 (+.f64 (tan.f64 y) (tan.f64 z))) (cbrt.f64 (-.f64 1 (*.f64 (tan.f64 y) (tan.f64 z))))) 3) (tan.f64 a)) (*.f64 (tan.f64 a) 0)))
0.3b
(+.f64 (+.f64 x (/.f64 (+.f64 (tan.f64 y) (tan.f64 z)) (-.f64 1 (*.f64 (tan.f64 y) (tan.f64 z))))) (neg.f64 (tan.f64 a)))
31.9b
(+.f64 (+.f64 x (-.f64 (/.f64 (+.f64 (tan.f64 y) (tan.f64 z)) (-.f64 1 (*.f64 (tan.f64 y) (tan.f64 z)))) (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)))))
1.4b
(*.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)))))
1.4b
(+.f64 x (log1p.f64 (expm1.f64 (-.f64 (/.f64 (+.f64 (tan.f64 y) (tan.f64 z)) (-.f64 1 (*.f64 (tan.f64 y) (tan.f64 z)))) (tan.f64 a)))))
0.7b
(cbrt.f64 (*.f64 (*.f64 (+.f64 x (-.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)))) (+.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 (-.f64 (/.f64 (+.f64 (tan.f64 y) (tan.f64 z)) (-.f64 1 (/.f64 (*.f64 (sin.f64 y) (sin.f64 z)) (*.f64 (cos.f64 y) (cos.f64 z))))) (tan.f64 a)))
Compiler

Compiled 15743 to 5026 computations (68.1% saved)

localize19.0ms (0%)

Local error

Found 4 expressions with local error:

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

series741.0ms (1.7%)

Counts
4 → 100
Calls

4 calls:

383.0ms
(+.f64 x (-.f64 (/.f64 (+.f64 (tan.f64 y) (tan.f64 z)) (-.f64 1 (/.f64 (*.f64 (sin.f64 y) (sin.f64 z)) (*.f64 (cos.f64 y) (cos.f64 z))))) (tan.f64 a)))
313.0ms
(-.f64 (/.f64 (+.f64 (tan.f64 y) (tan.f64 z)) (-.f64 1 (/.f64 (*.f64 (sin.f64 y) (sin.f64 z)) (*.f64 (cos.f64 y) (cos.f64 z))))) (tan.f64 a))
34.0ms
(/.f64 (*.f64 (sin.f64 y) (sin.f64 z)) (*.f64 (cos.f64 y) (cos.f64 z)))
10.0ms
(*.f64 (sin.f64 y) (sin.f64 z))

rewrite109.0ms (0.3%)

Algorithm
1×rewrite-expression-head
Rules
321×*-un-lft-identity_binary64
237×add-sqr-sqrt_binary64
180×prod-diff_binary64
170×times-frac_binary64
146×add-cube-cbrt_binary64
Counts
4 → 300
Calls

4 calls:

20.0ms
(+.f64 x (-.f64 (/.f64 (+.f64 (tan.f64 y) (tan.f64 z)) (-.f64 1 (/.f64 (*.f64 (sin.f64 y) (sin.f64 z)) (*.f64 (cos.f64 y) (cos.f64 z))))) (tan.f64 a)))
16.0ms
(-.f64 (/.f64 (+.f64 (tan.f64 y) (tan.f64 z)) (-.f64 1 (/.f64 (*.f64 (sin.f64 y) (sin.f64 z)) (*.f64 (cos.f64 y) (cos.f64 z))))) (tan.f64 a))
5.0ms
(/.f64 (*.f64 (sin.f64 y) (sin.f64 z)) (*.f64 (cos.f64 y) (cos.f64 z)))
3.0ms
(*.f64 (sin.f64 y) (sin.f64 z))

simplify500.0ms (1.2%)

Algorithm
1×egg-herbie
Rules
300×+-commutative_binary64
272×times-frac_binary64
250×fma-neg_binary64
245×associate-+r+_binary64
213×associate-+l+_binary64
Counts
400 → 421
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
052824460
1121921439
2447320989
3493920989
4498920989

prune964.0ms (2.2%)

Pruning

12 alts after pruning (12 fresh and 0 done)

PrunedKeptTotal
New4192421
Fresh21012
Picked101
Done000
Total42212434
Error
0.1b
Counts
434 → 12
Alt Table
StatusErrorProgram
0.5b
(+.f64 x (+.f64 (-.f64 (pow.f64 (/.f64 (cbrt.f64 (+.f64 (tan.f64 y) (tan.f64 z))) (cbrt.f64 (-.f64 1 (*.f64 (tan.f64 y) (tan.f64 z))))) 3) (tan.f64 a)) (*.f64 (tan.f64 a) 0)))
▶0.3b
(+.f64 (+.f64 x (-.f64 (/.f64 (+.f64 (tan.f64 y) (tan.f64 z)) (-.f64 1 (/.f64 (*.f64 (sin.f64 z) (sin.f64 y)) (*.f64 (cos.f64 z) (cos.f64 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))))))
0.3b
(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)))))
14.5b
(/.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))))
0.3b
(+.f64 x (-.f64 (/.f64 (+.f64 (tan.f64 y) (tan.f64 z)) (-.f64 1 (cbrt.f64 (pow.f64 (*.f64 (tan.f64 y) (tan.f64 z)) 3)))) (tan.f64 a)))
14.6b
(/.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))))
31.9b
(+.f64 (+.f64 x (-.f64 (/.f64 (+.f64 (tan.f64 y) (tan.f64 z)) (-.f64 1 (*.f64 (tan.f64 y) (tan.f64 z)))) (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)))))
0.7b
(/.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))))))
1.4b
(*.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)))))
1.4b
(+.f64 x (log1p.f64 (expm1.f64 (-.f64 (/.f64 (+.f64 (tan.f64 y) (tan.f64 z)) (-.f64 1 (*.f64 (tan.f64 y) (tan.f64 z)))) (tan.f64 a)))))
0.7b
(cbrt.f64 (*.f64 (*.f64 (+.f64 x (-.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)))) (+.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 x (/.f64 (+.f64 (tan.f64 y) (tan.f64 z)) (-.f64 1 (/.f64 (*.f64 (sin.f64 y) (sin.f64 z)) (*.f64 (cos.f64 y) (cos.f64 z)))))) (neg.f64 (tan.f64 a)))
Compiler

Compiled 22403 to 5719 computations (74.5% saved)

localize29.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.3b
(*.f64 (cbrt.f64 (tan.f64 a)) (*.f64 (cbrt.f64 (tan.f64 a)) (cbrt.f64 (tan.f64 a))))
✓0.5b
(*.f64 (cbrt.f64 (tan.f64 a)) (cbrt.f64 (tan.f64 a)))
✓0.7b
(cbrt.f64 (tan.f64 a))
✓59.8b
(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)))))

series3.1s (7.2%)

Counts
4 → 48
Calls

4 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)))))
410.0ms
(*.f64 (cbrt.f64 (tan.f64 a)) (cbrt.f64 (tan.f64 a)))
219.0ms
(cbrt.f64 (tan.f64 a))
6.0ms
(*.f64 (cbrt.f64 (tan.f64 a)) (*.f64 (cbrt.f64 (tan.f64 a)) (cbrt.f64 (tan.f64 a))))

rewrite21.0ms (0%)

Algorithm
1×rewrite-expression-head
Rules
25×add-sqr-sqrt_binary64
25×pow1_binary64
23×cbrt-prod_binary64
17×cbrt-div_binary64
17×tan-quot_binary64
Counts
4 → 110
Calls

4 calls:

9.0ms
(*.f64 (cbrt.f64 (tan.f64 a)) (*.f64 (cbrt.f64 (tan.f64 a)) (cbrt.f64 (tan.f64 a))))
5.0ms
(*.f64 (cbrt.f64 (tan.f64 a)) (cbrt.f64 (tan.f64 a)))
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)))))

simplify119.0ms (0.3%)

Algorithm
1×egg-herbie
Rules
1223×fma-def_binary64
441×unswap-sqr_binary64
427×associate-*l*_binary64
353×sqr-pow_binary64
343×exp-prod_binary64
Counts
158 → 178
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
01631774
13371770
28301646
325381482
439351248
547021248
649411248
744971248

prune747.0ms (1.7%)

Pruning

12 alts after pruning (11 fresh and 1 done)

PrunedKeptTotal
New3741375
Fresh11011
Picked011
Done000
Total37512387
Error
0.1b
Counts
387 → 12
Alt Table
StatusErrorProgram
0.5b
(+.f64 x (+.f64 (-.f64 (pow.f64 (/.f64 (cbrt.f64 (+.f64 (tan.f64 y) (tan.f64 z))) (cbrt.f64 (-.f64 1 (*.f64 (tan.f64 y) (tan.f64 z))))) 3) (tan.f64 a)) (*.f64 (tan.f64 a) 0)))
✓0.3b
(+.f64 (+.f64 x (-.f64 (/.f64 (+.f64 (tan.f64 y) (tan.f64 z)) (-.f64 1 (/.f64 (*.f64 (sin.f64 z) (sin.f64 y)) (*.f64 (cos.f64 z) (cos.f64 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))))))
0.3b
(+.f64 (+.f64 x (-.f64 (/.f64 (+.f64 (tan.f64 y) (tan.f64 z)) (-.f64 1 (/.f64 (*.f64 (sin.f64 z) (sin.f64 y)) (*.f64 (cos.f64 z) (cos.f64 y))))) (tan.f64 a))) (log.f64 (exp.f64 (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))))))))
0.3b
(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)))))
14.5b
(/.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))))
0.3b
(+.f64 x (-.f64 (/.f64 (+.f64 (tan.f64 y) (tan.f64 z)) (-.f64 1 (cbrt.f64 (pow.f64 (*.f64 (tan.f64 y) (tan.f64 z)) 3)))) (tan.f64 a)))
14.6b
(/.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))))
31.9b
(+.f64 (+.f64 x (-.f64 (/.f64 (+.f64 (tan.f64 y) (tan.f64 z)) (-.f64 1 (*.f64 (tan.f64 y) (tan.f64 z)))) (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)))))
0.7b
(/.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))))))
1.4b
(*.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)))))
1.4b
(+.f64 x (log1p.f64 (expm1.f64 (-.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 x (/.f64 (+.f64 (tan.f64 y) (tan.f64 z)) (-.f64 1 (/.f64 (*.f64 (sin.f64 y) (sin.f64 z)) (*.f64 (cos.f64 y) (cos.f64 z)))))) (neg.f64 (tan.f64 a)))
Compiler

Compiled 20141 to 4399 computations (78.2% saved)

regimes3.3s (7.6%)

Accuracy

Total 0.3b remaining (78.8%)

Threshold costs 0.3b (78.8%)

Counts
261 → 1
Compiler

Compiled 85062 to 49175 computations (42.2% saved)

simplify3.0ms (0%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
02343
13343
24243
35443
46243
56743
66943
76843

end253.0ms (0.6%)

Remove

(sort y z)

Compiler

Compiled 610 to 345 computations (43.4% saved)

Profiling

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