Details

Time bar (total: 7.0s)

analyze528.0ms (7.5%)

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
25%74.9%0.1%5
25%68.7%6.3%6
43.7%46.8%9.5%7
43.7%42.1%14.1%8
46.8%36.7%16.5%9
46.8%34%19.2%10
48.4%31%20.6%11
48.4%29.6%22%12
49.2%28%22.8%13
49.2%27.3%23.5%14
Compiler

Compiled 10 to 7 computations (30% saved)

sample4.1s (58.1%)

Results
1.2s2133×body1024valid
1.1s2044×body1024invalid
631.0ms4582×body128valid
365.0ms1017×body512valid
333.0ms1005×body512invalid
126.0ms520×body256valid
126.0ms507×body256invalid
116.0ms725×body128invalid
6.0msbody2048valid
1.0msbody2048invalid
Compiler

Compiled 29 to 20 computations (31% saved)

simplify93.0ms (1.3%)

Algorithm
egg-herbie
Rules
855×fma-def_binary64
772×unswap-sqr_binary64
448×associate-/l*_binary64
363×times-frac_binary64
280×associate-/r*_binary64
Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0711
11611
23211
36011
410711
516911
632711
780611
8210111
9221711
10259211
11415911
12453711
13491511
14495511
15491911

prune2.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022
Error
0.1b
Counts
2 → 1
Alt Table
StatusErrorProgram
0.1b
(*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y))
Compiler

Compiled 27 to 18 computations (33.3% saved)

localize6.0ms (0.1%)

Local error

Found 2 expressions with local error:

NewErrorProgram
0.0b
(*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y))
0.1b
(/.f64 (sin.f64 y) y)

series36.0ms (0.5%)

Counts
2 → 28
Calls

2 calls:

33.0ms
(*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y))
3.0ms
(/.f64 (sin.f64 y) y)

rewrite11.0ms (0.2%)

Algorithm
rewrite-expression-head
Rules
23×add-sqr-sqrt_binary64
19×times-frac_binary64
18×*-un-lft-identity_binary64
18×add-cube-cbrt_binary64
13×associate-*r*_binary64
Counts
2 → 65
Calls

2 calls:

5.0ms
(*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y))
2.0ms
(/.f64 (sin.f64 y) y)

simplify111.0ms (1.6%)

Algorithm
egg-herbie
Rules
383×associate-*l/_binary64
364×associate-*l*_binary64
347×associate-*r/_binary64
318×associate-/l*_binary64
316×associate-*r*_binary64
Counts
93 → 118
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01721673
14221547
213441529
344191528
449581528
549961528
649611528

prune96.0ms (1.4%)

Pruning

7 alts after pruning (7 fresh and 0 done)

PrunedKeptTotal
New1117118
Fresh000
Picked101
Done000
Total1127119
Error
0.0b
Counts
119 → 7
Alt Table
StatusErrorProgram
30.3b
(*.f64 (cosh.f64 x) (/.f64 (sqrt.f64 (sin.f64 y)) (/.f64 y (sqrt.f64 (sin.f64 y)))))
20.8b
(*.f64 (cosh.f64 x) (cbrt.f64 (*.f64 (*.f64 (/.f64 (sin.f64 y) y) (/.f64 (sin.f64 y) y)) (/.f64 (sin.f64 y) y))))
0.3b
(*.f64 (cosh.f64 x) (*.f64 (sin.f64 y) (/.f64 1 y)))
0.1b
(/.f64 (+.f64 (*.f64 1/2 (*.f64 (sin.f64 y) (exp.f64 x))) (*.f64 1/2 (/.f64 (sin.f64 y) (exp.f64 x)))) y)
0.2b
(*.f64 (cosh.f64 x) (/.f64 1 (/.f64 y (sin.f64 y))))
31.5b
(*.f64 (cosh.f64 x) (/.f64 (/.f64 (sin.f64 y) (sqrt.f64 y)) (sqrt.f64 y)))
1.4b
(*.f64 (cosh.f64 x) (/.f64 (*.f64 (cbrt.f64 (sin.f64 y)) (cbrt.f64 (sin.f64 y))) (/.f64 y (cbrt.f64 (sin.f64 y)))))
Compiler

Compiled 2077 to 703 computations (66.2% saved)

localize10.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.0b
(+.f64 (*.f64 1/2 (*.f64 (sin.f64 y) (exp.f64 x))) (*.f64 1/2 (/.f64 (sin.f64 y) (exp.f64 x))))
0.0b
(/.f64 (sin.f64 y) (exp.f64 x))
0.0b
(*.f64 (sin.f64 y) (exp.f64 x))
0.1b
(/.f64 (+.f64 (*.f64 1/2 (*.f64 (sin.f64 y) (exp.f64 x))) (*.f64 1/2 (/.f64 (sin.f64 y) (exp.f64 x)))) y)

series101.0ms (1.4%)

Counts
4 → 32
Calls

4 calls:

43.0ms
(/.f64 (+.f64 (*.f64 1/2 (*.f64 (sin.f64 y) (exp.f64 x))) (*.f64 1/2 (/.f64 (sin.f64 y) (exp.f64 x)))) y)
35.0ms
(+.f64 (*.f64 1/2 (*.f64 (sin.f64 y) (exp.f64 x))) (*.f64 1/2 (/.f64 (sin.f64 y) (exp.f64 x))))
15.0ms
(/.f64 (sin.f64 y) (exp.f64 x))
8.0ms
(*.f64 (sin.f64 y) (exp.f64 x))

rewrite24.0ms (0.3%)

Algorithm
rewrite-expression-head
Rules
25×add-sqr-sqrt_binary64
23×*-un-lft-identity_binary64
23×add-cube-cbrt_binary64
21×times-frac_binary64
10×add-cbrt-cube_binary64
Counts
4 → 99
Calls

4 calls:

7.0ms
(/.f64 (+.f64 (*.f64 1/2 (*.f64 (sin.f64 y) (exp.f64 x))) (*.f64 1/2 (/.f64 (sin.f64 y) (exp.f64 x)))) y)
5.0ms
(+.f64 (*.f64 1/2 (*.f64 (sin.f64 y) (exp.f64 x))) (*.f64 1/2 (/.f64 (sin.f64 y) (exp.f64 x))))
4.0ms
(*.f64 (sin.f64 y) (exp.f64 x))
3.0ms
(/.f64 (sin.f64 y) (exp.f64 x))

simplify123.0ms (1.8%)

Algorithm
egg-herbie
Rules
474×fma-neg_binary64
458×cancel-sign-sub-inv_binary64
313×times-frac_binary64
218×fma-def_binary64
180×associate-*r*_binary64
Counts
131 → 206
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
02773325
17643065
225543028
344973021
450023021

prune167.0ms (2.4%)

Pruning

7 alts after pruning (7 fresh and 0 done)

PrunedKeptTotal
New2042206
Fresh156
Picked101
Done000
Total2067213
Error
0.0b
Counts
213 → 7
Alt Table
StatusErrorProgram
30.3b
(*.f64 (cosh.f64 x) (/.f64 (sqrt.f64 (sin.f64 y)) (/.f64 y (sqrt.f64 (sin.f64 y)))))
20.8b
(*.f64 (cosh.f64 x) (cbrt.f64 (*.f64 (*.f64 (/.f64 (sin.f64 y) y) (/.f64 (sin.f64 y) y)) (/.f64 (sin.f64 y) y))))
0.2b
(/.f64 (+.f64 (*.f64 1/2 (log1p.f64 (expm1.f64 (*.f64 (sin.f64 y) (exp.f64 x))))) (*.f64 1/2 (/.f64 (sin.f64 y) (exp.f64 x)))) y)
0.2b
(/.f64 1/2 (/.f64 y (fma.f64 (exp.f64 x) (sin.f64 y) (/.f64 (sin.f64 y) (exp.f64 x)))))
31.5b
(*.f64 (cosh.f64 x) (/.f64 (/.f64 (sin.f64 y) (sqrt.f64 y)) (sqrt.f64 y)))
1.4b
(*.f64 (cosh.f64 x) (/.f64 (*.f64 (cbrt.f64 (sin.f64 y)) (cbrt.f64 (sin.f64 y))) (/.f64 y (cbrt.f64 (sin.f64 y)))))
0.3b
(*.f64 (cosh.f64 x) (*.f64 (sin.f64 y) (/.f64 1 y)))
Compiler

Compiled 5824 to 2399 computations (58.8% saved)

localize9.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.0b
(fma.f64 (exp.f64 x) (sin.f64 y) (/.f64 (sin.f64 y) (exp.f64 x)))
0.0b
(/.f64 (sin.f64 y) (exp.f64 x))
0.1b
(/.f64 y (fma.f64 (exp.f64 x) (sin.f64 y) (/.f64 (sin.f64 y) (exp.f64 x))))
0.1b
(/.f64 1/2 (/.f64 y (fma.f64 (exp.f64 x) (sin.f64 y) (/.f64 (sin.f64 y) (exp.f64 x)))))

series159.0ms (2.3%)

Counts
3 → 72
Calls

3 calls:

95.0ms
(/.f64 y (fma.f64 (exp.f64 x) (sin.f64 y) (/.f64 (sin.f64 y) (exp.f64 x))))
39.0ms
(/.f64 1/2 (/.f64 y (fma.f64 (exp.f64 x) (sin.f64 y) (/.f64 (sin.f64 y) (exp.f64 x)))))
26.0ms
(fma.f64 (exp.f64 x) (sin.f64 y) (/.f64 (sin.f64 y) (exp.f64 x)))

rewrite20.0ms (0.3%)

Algorithm
rewrite-expression-head
Rules
84×times-frac_binary64
53×*-un-lft-identity_binary64
53×add-sqr-sqrt_binary64
53×add-cube-cbrt_binary64
16×associate-/r*_binary64
Counts
3 → 111
Calls

3 calls:

7.0ms
(/.f64 1/2 (/.f64 y (fma.f64 (exp.f64 x) (sin.f64 y) (/.f64 (sin.f64 y) (exp.f64 x)))))
2.0ms
(/.f64 y (fma.f64 (exp.f64 x) (sin.f64 y) (/.f64 (sin.f64 y) (exp.f64 x))))
0.0ms
(fma.f64 (exp.f64 x) (sin.f64 y) (/.f64 (sin.f64 y) (exp.f64 x)))

simplify247.0ms (3.5%)

Algorithm
egg-herbie
Rules
343×cancel-sign-sub-inv_binary64
224×distribute-rgt-in_binary64
217×fma-neg_binary64
214×fma-def_binary64
190×*-commutative_binary64
Counts
183 → 204
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
03806500
19776216
234856142
347606137
449836137
549996137
649536137

prune183.0ms (2.6%)

Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New2490249
Fresh066
Picked011
Done000
Total2497256
Error
0.0b
Counts
256 → 7
Alt Table
StatusErrorProgram
30.3b
(*.f64 (cosh.f64 x) (/.f64 (sqrt.f64 (sin.f64 y)) (/.f64 y (sqrt.f64 (sin.f64 y)))))
20.8b
(*.f64 (cosh.f64 x) (cbrt.f64 (*.f64 (*.f64 (/.f64 (sin.f64 y) y) (/.f64 (sin.f64 y) y)) (/.f64 (sin.f64 y) y))))
0.2b
(/.f64 (+.f64 (*.f64 1/2 (log1p.f64 (expm1.f64 (*.f64 (sin.f64 y) (exp.f64 x))))) (*.f64 1/2 (/.f64 (sin.f64 y) (exp.f64 x)))) y)
0.2b
(/.f64 1/2 (/.f64 y (fma.f64 (exp.f64 x) (sin.f64 y) (/.f64 (sin.f64 y) (exp.f64 x)))))
31.5b
(*.f64 (cosh.f64 x) (/.f64 (/.f64 (sin.f64 y) (sqrt.f64 y)) (sqrt.f64 y)))
1.4b
(*.f64 (cosh.f64 x) (/.f64 (*.f64 (cbrt.f64 (sin.f64 y)) (cbrt.f64 (sin.f64 y))) (/.f64 y (cbrt.f64 (sin.f64 y)))))
0.3b
(*.f64 (cosh.f64 x) (*.f64 (sin.f64 y) (/.f64 1 y)))
Compiler

Compiled 7514 to 2552 computations (66% saved)

localize15.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.0b
(*.f64 (sin.f64 y) (exp.f64 x))
0.1b
(/.f64 (+.f64 (*.f64 1/2 (log1p.f64 (expm1.f64 (*.f64 (sin.f64 y) (exp.f64 x))))) (*.f64 1/2 (/.f64 (sin.f64 y) (exp.f64 x)))) y)
0.2b
(expm1.f64 (*.f64 (sin.f64 y) (exp.f64 x)))
0.2b
(log1p.f64 (expm1.f64 (*.f64 (sin.f64 y) (exp.f64 x))))

series68.0ms (1%)

Counts
3 → 72
Calls

3 calls:

44.0ms
(/.f64 (+.f64 (*.f64 1/2 (log1p.f64 (expm1.f64 (*.f64 (sin.f64 y) (exp.f64 x))))) (*.f64 1/2 (/.f64 (sin.f64 y) (exp.f64 x)))) y)
15.0ms
(expm1.f64 (*.f64 (sin.f64 y) (exp.f64 x)))
8.0ms
(log1p.f64 (expm1.f64 (*.f64 (sin.f64 y) (exp.f64 x))))

rewrite8.0ms (0.1%)

Algorithm
rewrite-expression-head
Rules
12×times-frac_binary64
12×*-un-lft-identity_binary64
12×add-sqr-sqrt_binary64
12×add-cube-cbrt_binary64
add-cbrt-cube_binary64
Counts
3 → 57
Calls

3 calls:

5.0ms
(/.f64 (+.f64 (*.f64 1/2 (log1p.f64 (expm1.f64 (*.f64 (sin.f64 y) (exp.f64 x))))) (*.f64 1/2 (/.f64 (sin.f64 y) (exp.f64 x)))) y)
0.0ms
(expm1.f64 (*.f64 (sin.f64 y) (exp.f64 x)))
0.0ms
(log1p.f64 (expm1.f64 (*.f64 (sin.f64 y) (exp.f64 x))))

simplify112.0ms (1.6%)

Algorithm
egg-herbie
Rules
436×fma-neg_binary64
372×cancel-sign-sub-inv_binary64
254×associate-/l*_binary64
248×times-frac_binary64
207×fma-def_binary64
Counts
129 → 146
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
02423140
16592832
222262756
347072752
449502752

prune143.0ms (2%)

Pruning

7 alts after pruning (5 fresh and 2 done)

PrunedKeptTotal
New1900190
Fresh055
Picked011
Done011
Total1907197
Error
0.0b
Counts
197 → 7
Alt Table
StatusErrorProgram
30.3b
(*.f64 (cosh.f64 x) (/.f64 (sqrt.f64 (sin.f64 y)) (/.f64 y (sqrt.f64 (sin.f64 y)))))
20.8b
(*.f64 (cosh.f64 x) (cbrt.f64 (*.f64 (*.f64 (/.f64 (sin.f64 y) y) (/.f64 (sin.f64 y) y)) (/.f64 (sin.f64 y) y))))
0.2b
(/.f64 (+.f64 (*.f64 1/2 (log1p.f64 (expm1.f64 (*.f64 (sin.f64 y) (exp.f64 x))))) (*.f64 1/2 (/.f64 (sin.f64 y) (exp.f64 x)))) y)
0.2b
(/.f64 1/2 (/.f64 y (fma.f64 (exp.f64 x) (sin.f64 y) (/.f64 (sin.f64 y) (exp.f64 x)))))
31.5b
(*.f64 (cosh.f64 x) (/.f64 (/.f64 (sin.f64 y) (sqrt.f64 y)) (sqrt.f64 y)))
1.4b
(*.f64 (cosh.f64 x) (/.f64 (*.f64 (cbrt.f64 (sin.f64 y)) (cbrt.f64 (sin.f64 y))) (/.f64 y (cbrt.f64 (sin.f64 y)))))
0.3b
(*.f64 (cosh.f64 x) (*.f64 (sin.f64 y) (/.f64 1 y)))
Compiler

Compiled 5599 to 2298 computations (59% saved)

regimes568.0ms (8.1%)

Accuracy

Total 0.1b remaining (66.5%)

Threshold costs 0.1b (66.5%)

Counts
122 → 1
Compiler

Compiled 9635 to 6059 computations (37.1% saved)

simplify2.0ms (0%)

Algorithm
egg-herbie
Rules
*-commutative_binary64
*-lft-identity_binary64
1-exp_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0911
11311
21211

end94.0ms (1.3%)

Compiler

Compiled 131 to 77 computations (41.2% saved)

Profiling

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