Details

Time bar (total: 10.8s)

analyze946.0ms (8.8%)

Algorithm
search
Search
TrueOtherFalseIter
0%99.9%0.1%0
0%99.9%0.1%1
0%99.9%0.1%2
0%99.9%0.1%3
0%99.9%0.1%4
0%99.9%0.1%5
12.5%87.4%0.1%6
34.3%65.5%0.1%7
46.8%53%0.1%8
48%51.9%0.1%9
63%36.9%0.1%10
71.7%28.2%0.1%11
72%27.8%0.1%12
80.5%19.4%0.1%13
85.4%14.5%0.1%14
Compiler

Compiled 13 to 9 computations (30.8% saved)

sample97.0ms (0.9%)

Algorithm
intervals
Results
31.0ms187×body128valid
30.0ms32×body1024valid
11.0ms23×body512valid
4.0ms13×body256valid
2.0msbody2048valid
Compiler

Compiled 28 to 20 computations (28.6% saved)

simplify14.0ms (0.1%)

Algorithm
egg-herbie
Rules
fma-def_binary64
+-commutative_binary64
associate-+r+_binary64
associate-+l+_binary64
*-commutative_binary64
Counts
1 → 2
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0914
11412
22212
32612
42612

prune5.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New112
Fresh101
Picked000
Done000
Total213
Error
0.0b
Counts
3 → 1
Alt Table
StatusErrorProgram
0.0b
(fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y)))
Compiler

Compiled 42 to 23 computations (45.2% saved)

localize14.0ms (0.1%)

Local error

Found 2 expressions with local error:

NewErrorProgram
0.0b
(+.f64 x (sin.f64 y))
0.0b
(fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y)))

series36.0ms (0.3%)

Counts
2 → 60
Calls

2 calls:

28.0ms
(fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y)))
8.0ms
(+.f64 x (sin.f64 y))

rewrite8.0ms (0.1%)

Algorithm
rewrite-expression-head
Rules
*-un-lft-identity_binary64
add-log-exp_binary64
fma-def_binary64
add-sqr-sqrt_binary64
add-cube-cbrt_binary64
Counts
2 → 27
Calls

2 calls:

5.0ms
(+.f64 x (sin.f64 y))
1.0ms
(fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y)))

simplify175.0ms (1.6%)

Algorithm
egg-herbie
Rules
365×distribute-rgt-neg-in_binary64
364×cancel-sign-sub-inv_binary64
354×distribute-rgt-in_binary64
339×distribute-lft-in_binary64
311×associate-*l*_binary64
Counts
87 → 63
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
068875
1178835
2400828
31151828
43114828
54559828
64930828
74998828
84927828

prune69.0ms (0.6%)

Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New60363
Fresh000
Picked011
Done000
Total60464
Error
0.0b
Counts
64 → 4
Alt Table
StatusErrorProgram
37.1b
(fma.f64 z (cos.f64 y) (log.f64 (*.f64 (exp.f64 x) (exp.f64 (sin.f64 y)))))
0.0b
(fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y)))
34.4b
(*.f64 (sqrt.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y)))) (sqrt.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y)))))
1.4b
(*.f64 (*.f64 (cbrt.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y)))) (cbrt.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y))))) (cbrt.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y)))))
Compiler

Compiled 917 to 283 computations (69.1% saved)

localize21.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.0b
(fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y)))
0.3b
(*.f64 (*.f64 (cbrt.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y)))) (cbrt.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y))))) (cbrt.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y)))))
0.5b
(*.f64 (cbrt.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y)))) (cbrt.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y)))))
0.6b
(cbrt.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y))))

series2.0s (18.6%)

Counts
3 → 108
Calls

3 calls:

1.2s
(*.f64 (cbrt.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y)))) (cbrt.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y)))))
805.0ms
(cbrt.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y))))
28.0ms
(*.f64 (*.f64 (cbrt.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y)))) (cbrt.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y))))) (cbrt.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y)))))

rewrite41.0ms (0.4%)

Algorithm
rewrite-expression-head
Rules
29×pow1_binary64
24×add-sqr-sqrt_binary64
23×cbrt-prod_binary64
16×pow1/3_binary64
14×*-un-lft-identity_binary64
Counts
3 → 93
Calls

3 calls:

13.0ms
(*.f64 (*.f64 (cbrt.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y)))) (cbrt.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y))))) (cbrt.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y)))))
11.0ms
(*.f64 (cbrt.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y)))) (cbrt.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y)))))
1.0ms
(cbrt.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y))))

simplify465.0ms (4.3%)

Algorithm
egg-herbie
Rules
804×fma-def_binary64
652×times-frac_binary64
323×*-commutative_binary64
168×+-commutative_binary64
127×sqr-pow_binary64
Counts
201 → 254
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
077210896
126129995
249999995
349629995

prune866.0ms (8%)

Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New5083511
Fresh022
Picked101
Done011
Total5096515
Error
0.0b
Counts
515 → 6
Alt Table
StatusErrorProgram
37.1b
(fma.f64 z (cos.f64 y) (log.f64 (*.f64 (exp.f64 x) (exp.f64 (sin.f64 y)))))
0.0b
(fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y)))
34.9b
(*.f64 (*.f64 (*.f64 (cbrt.f64 (sqrt.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y))))) (cbrt.f64 (sqrt.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y)))))) (*.f64 (cbrt.f64 (sqrt.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y))))) (cbrt.f64 (sqrt.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y))))))) (cbrt.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y)))))
34.4b
(*.f64 (sqrt.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y)))) (sqrt.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y)))))
1.6b
(*.f64 (*.f64 (cbrt.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y)))) (*.f64 (*.f64 (cbrt.f64 (cbrt.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y))))) (cbrt.f64 (cbrt.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y)))))) (cbrt.f64 (cbrt.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y))))))) (cbrt.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y)))))
34.8b
(*.f64 (*.f64 (cbrt.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y)))) (cbrt.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y))))) (*.f64 (sqrt.f64 (cbrt.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y))))) (sqrt.f64 (cbrt.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y)))))))
Compiler

Compiled 31453 to 11877 computations (62.2% saved)

localize14.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.5b
(*.f64 (cbrt.f64 (cbrt.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y))))) (cbrt.f64 (cbrt.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y))))))
0.5b
(*.f64 (cbrt.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y)))) (*.f64 (*.f64 (cbrt.f64 (cbrt.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y))))) (cbrt.f64 (cbrt.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y)))))) (cbrt.f64 (cbrt.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y)))))))
0.5b
(cbrt.f64 (cbrt.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y)))))
0.6b
(cbrt.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y))))

series1.5s (14.3%)

Counts
3 → 108
Calls

3 calls:

580.0ms
(*.f64 (cbrt.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y)))) (*.f64 (*.f64 (cbrt.f64 (cbrt.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y))))) (cbrt.f64 (cbrt.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y)))))) (cbrt.f64 (cbrt.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y)))))))
569.0ms
(*.f64 (cbrt.f64 (cbrt.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y))))) (cbrt.f64 (cbrt.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y))))))
394.0ms
(cbrt.f64 (cbrt.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y)))))

rewrite36.0ms (0.3%)

Algorithm
rewrite-expression-head
Rules
66×cbrt-prod_binary64
37×add-sqr-sqrt_binary64
21×pow1_binary64
20×add-cube-cbrt_binary64
19×*-un-lft-identity_binary64
Counts
3 → 102
Calls

3 calls:

15.0ms
(*.f64 (cbrt.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y)))) (*.f64 (*.f64 (cbrt.f64 (cbrt.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y))))) (cbrt.f64 (cbrt.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y)))))) (cbrt.f64 (cbrt.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y)))))))
6.0ms
(*.f64 (cbrt.f64 (cbrt.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y))))) (cbrt.f64 (cbrt.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y))))))
1.0ms
(cbrt.f64 (cbrt.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y)))))

simplify252.0ms (2.3%)

Algorithm
egg-herbie
Rules
894×times-frac_binary64
462×*-commutative_binary64
259×+-commutative_binary64
226×fma-def_binary64
190×associate-*r*_binary64
Counts
210 → 308
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0109716863
1385316606
2503216606

prune991.0ms (9.2%)

Pruning

6 alts after pruning (4 fresh and 2 done)

PrunedKeptTotal
New8650865
Fresh044
Picked011
Done011
Total8656871
Error
0.0b
Counts
871 → 6
Alt Table
StatusErrorProgram
37.1b
(fma.f64 z (cos.f64 y) (log.f64 (*.f64 (exp.f64 x) (exp.f64 (sin.f64 y)))))
0.0b
(fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y)))
34.9b
(*.f64 (*.f64 (*.f64 (cbrt.f64 (sqrt.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y))))) (cbrt.f64 (sqrt.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y)))))) (*.f64 (cbrt.f64 (sqrt.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y))))) (cbrt.f64 (sqrt.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y))))))) (cbrt.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y)))))
34.4b
(*.f64 (sqrt.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y)))) (sqrt.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y)))))
1.6b
(*.f64 (*.f64 (cbrt.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y)))) (*.f64 (*.f64 (cbrt.f64 (cbrt.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y))))) (cbrt.f64 (cbrt.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y)))))) (cbrt.f64 (cbrt.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y))))))) (cbrt.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y)))))
34.8b
(*.f64 (*.f64 (cbrt.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y)))) (cbrt.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y))))) (*.f64 (sqrt.f64 (cbrt.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y))))) (sqrt.f64 (cbrt.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y)))))))
Compiler

Compiled 84746 to 29951 computations (64.7% saved)

localize10.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.0b
(+.f64 x (sin.f64 y))
0.0b
(sqrt.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y))))
0.0b
(fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y)))
0.3b
(*.f64 (sqrt.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y)))) (sqrt.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y)))))

series69.0ms (0.6%)

Counts
2 → 56
Calls

2 calls:

56.0ms
(sqrt.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y))))
12.0ms
(*.f64 (sqrt.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y)))) (sqrt.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y)))))

rewrite12.0ms (0.1%)

Algorithm
rewrite-expression-head
Rules
28×add-sqr-sqrt_binary64
21×sqrt-prod_binary64
18×pow1_binary64
11×*-un-lft-identity_binary64
11×add-cube-cbrt_binary64
Counts
2 → 68
Calls

2 calls:

5.0ms
(*.f64 (sqrt.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y)))) (sqrt.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y)))))
1.0ms
(sqrt.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y))))

simplify89.0ms (0.8%)

Algorithm
egg-herbie
Rules
489×associate--l+_binary64
455×fma-def_binary64
434×fma-neg_binary64
349×*-commutative_binary64
303×cancel-sign-sub-inv_binary64
Counts
124 → 126
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01572485
13922261
212262168
331752113
450862113

prune165.0ms (1.5%)

Pruning

7 alts after pruning (5 fresh and 2 done)

PrunedKeptTotal
New2982300
Fresh033
Picked101
Done022
Total2997306
Error
0.0b
Counts
306 → 7
Alt Table
StatusErrorProgram
34.7b
(*.f64 (sqrt.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y)))) (*.f64 (*.f64 (cbrt.f64 (sqrt.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y))))) (cbrt.f64 (sqrt.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y)))))) (cbrt.f64 (sqrt.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y)))))))
34.9b
(*.f64 (*.f64 (*.f64 (cbrt.f64 (sqrt.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y))))) (cbrt.f64 (sqrt.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y)))))) (*.f64 (cbrt.f64 (sqrt.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y))))) (cbrt.f64 (sqrt.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y))))))) (cbrt.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y)))))
37.1b
(fma.f64 z (cos.f64 y) (log.f64 (*.f64 (exp.f64 x) (exp.f64 (sin.f64 y)))))
0.0b
(fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y)))
34.4b
(*.f64 (sqrt.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y)))) (*.f64 (sqrt.f64 (sqrt.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y))))) (sqrt.f64 (sqrt.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y)))))))
1.6b
(*.f64 (*.f64 (cbrt.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y)))) (*.f64 (*.f64 (cbrt.f64 (cbrt.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y))))) (cbrt.f64 (cbrt.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y)))))) (cbrt.f64 (cbrt.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y))))))) (cbrt.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y)))))
34.8b
(*.f64 (*.f64 (cbrt.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y)))) (cbrt.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y))))) (*.f64 (sqrt.f64 (cbrt.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y))))) (sqrt.f64 (cbrt.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y)))))))
Compiler

Compiled 8086 to 1681 computations (79.2% saved)

regimes1.0s (9.7%)

Accuracy

Total 0.0b remaining (38.5%)

Threshold costs 0.0b (38.5%)

Counts
216 → 1
Compiler

Compiled 27016 to 11198 computations (58.6% saved)

simplify2.0ms (0%)

Algorithm
egg-herbie
Rules
+-commutative_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0812
1912
2912

end0.0ms (0%)

Compiler

Compiled 11 to 7 computations (36.4% saved)

sample1.8s (16.5%)

Algorithm
intervals
Results
649.0ms1316×body1024valid
500.0ms5686×body128valid
168.0ms644×body512valid
64.0ms349×body256valid
5.0msbody2048valid
Compiler

Compiled 286 to 97 computations (66.1% saved)

Profiling

Loading profile data...