Details

Time bar (total: 6.9s)

analyze543.0ms (7.9%)

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
0%99.9%0.1%6
37.5%50%12.6%7
37.5%50%12.6%8
43.7%37.5%18.8%9
43.7%37.5%18.8%10
46.8%31.2%22%11
46.8%31.2%22%12
48.4%28.1%23.5%13
48.4%28.1%23.5%14
Compiler

Compiled 10 to 7 computations (30% saved)

sample3.9s (56.5%)

Results
1.2s2035×body1024valid
1.0s1952×body1024invalid
631.0ms4700×body128valid
324.0ms1032×body512valid
304.0ms1062×body512invalid
114.0ms494×body256invalid
112.0ms485×body256valid
106.0ms752×body128invalid
5.0msbody2048valid
1.0msbody2048invalid
Compiler

Compiled 29 to 20 computations (31% saved)

simplify53.0ms (0.8%)

Algorithm
egg-herbie
Rules
804×fma-neg_binary64
610×div-sub_binary64
491×times-frac_binary64
410×associate-/l*_binary64
352×cancel-sign-sub-inv_binary64
Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0711
11611
23411
37311
416011
536111
698411
7317711
8470111
9501011

prune2.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022
Error
0.0b
Counts
2 → 1
Alt Table
StatusErrorProgram
0.0b
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
Compiler

Compiled 27 to 18 computations (33.3% saved)

localize6.0ms (0.1%)

Local error

Found 3 expressions with local error:

NewErrorProgram
0.0b
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
0.0b
(/.f64 (sinh.f64 y) y)
0.0b
(sinh.f64 y)

series64.0ms (0.9%)

Counts
3 → 48
Calls

3 calls:

32.0ms
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
18.0ms
(sinh.f64 y)
13.0ms
(/.f64 (sinh.f64 y) y)

rewrite13.0ms (0.2%)

Algorithm
rewrite-expression-head
Rules
24×add-sqr-sqrt_binary64
19×times-frac_binary64
19×*-un-lft-identity_binary64
19×add-cube-cbrt_binary64
13×associate-*r*_binary64
Counts
3 → 74
Calls

3 calls:

7.0ms
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
2.0ms
(/.f64 (sinh.f64 y) y)
1.0ms
(sinh.f64 y)

simplify90.0ms (1.3%)

Algorithm
egg-herbie
Rules
524×fma-def_binary64
404×associate-/l*_binary64
345×times-frac_binary64
309×associate-*r/_binary64
295×associate-*l/_binary64
Counts
122 → 127
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02112067
15281896
216701755
345561755
453881755

prune89.0ms (1.3%)

Pruning

4 alts after pruning (4 fresh and 0 done)

PrunedKeptTotal
New1234127
Fresh000
Picked101
Done000
Total1244128
Error
0b
Counts
128 → 4
Alt Table
StatusErrorProgram
30.0b
(*.f64 (cos.f64 x) (/.f64 (*.f64 (sqrt.f64 (sinh.f64 y)) (sqrt.f64 (sinh.f64 y))) y))
37.7b
(*.f64 (cos.f64 x) (/.f64 (cbrt.f64 (pow.f64 (sinh.f64 y) 3)) y))
0.0b
(*.f64 (cos.f64 x) (/.f64 1 (/.f64 y (sinh.f64 y))))
0.3b
(cbrt.f64 (*.f64 (*.f64 (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))) (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))))
Compiler

Compiled 2133 to 793 computations (62.8% saved)

localize7.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.0b
(/.f64 y (sinh.f64 y))
0.0b
(*.f64 (cos.f64 x) (/.f64 1 (/.f64 y (sinh.f64 y))))
0.0b
(/.f64 1 (/.f64 y (sinh.f64 y)))
0.0b
(sinh.f64 y)

series81.0ms (1.2%)

Counts
3 → 48
Calls

3 calls:

36.0ms
(/.f64 y (sinh.f64 y))
33.0ms
(*.f64 (cos.f64 x) (/.f64 1 (/.f64 y (sinh.f64 y))))
12.0ms
(/.f64 1 (/.f64 y (sinh.f64 y)))

rewrite35.0ms (0.5%)

Algorithm
rewrite-expression-head
Rules
162×times-frac_binary64
105×add-sqr-sqrt_binary64
93×*-un-lft-identity_binary64
91×add-cube-cbrt_binary64
47×associate-*r*_binary64
Counts
3 → 190
Calls

3 calls:

13.0ms
(*.f64 (cos.f64 x) (/.f64 1 (/.f64 y (sinh.f64 y))))
4.0ms
(/.f64 1 (/.f64 y (sinh.f64 y)))
2.0ms
(/.f64 y (sinh.f64 y))

simplify140.0ms (2%)

Algorithm
egg-herbie
Rules
624×times-frac_binary64
513×fma-def_binary64
414×associate-/l*_binary64
311×associate-/r/_binary64
258×fma-neg_binary64
Counts
238 → 315
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02564122
16103658
219033476
344753476
452473476

prune203.0ms (3%)

Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New3341335
Fresh123
Picked011
Done000
Total3354339
Error
0b
Counts
339 → 4
Alt Table
StatusErrorProgram
37.7b
(*.f64 (cos.f64 x) (/.f64 (cbrt.f64 (pow.f64 (sinh.f64 y) 3)) y))
0.2b
(*.f64 (*.f64 (cos.f64 x) (/.f64 1 y)) (sinh.f64 y))
0.0b
(*.f64 (cos.f64 x) (/.f64 1 (/.f64 y (sinh.f64 y))))
0.3b
(cbrt.f64 (*.f64 (*.f64 (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))) (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))))
Compiler

Compiled 6074 to 2395 computations (60.6% saved)

localize7.0ms (0.1%)

Local error

Found 3 expressions with local error:

NewErrorProgram
0.0b
(sinh.f64 y)
0.2b
(*.f64 (cos.f64 x) (/.f64 1 y))
0.2b
(*.f64 (*.f64 (cos.f64 x) (/.f64 1 y)) (sinh.f64 y))

series40.0ms (0.6%)

Counts
2 → 48
Calls

2 calls:

32.0ms
(*.f64 (*.f64 (cos.f64 x) (/.f64 1 y)) (sinh.f64 y))
8.0ms
(*.f64 (cos.f64 x) (/.f64 1 y))

rewrite17.0ms (0.2%)

Algorithm
rewrite-expression-head
Rules
26×add-exp-log_binary64
18×add-sqr-sqrt_binary64
16×associate-*r*_binary64
16×add-cbrt-cube_binary64
13×prod-exp_binary64
Counts
2 → 67
Calls

2 calls:

8.0ms
(*.f64 (*.f64 (cos.f64 x) (/.f64 1 y)) (sinh.f64 y))
5.0ms
(*.f64 (cos.f64 x) (/.f64 1 y))

simplify92.0ms (1.3%)

Algorithm
egg-herbie
Rules
607×fma-neg_binary64
394×fma-def_binary64
319×associate-*l/_binary64
290×associate-/l*_binary64
270×associate-*r/_binary64
Counts
115 → 123
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01931761
14851594
215261550
345931549
451131549

prune93.0ms (1.4%)

Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New1430143
Fresh022
Picked011
Done011
Total1434147
Error
0b
Counts
147 → 4
Alt Table
StatusErrorProgram
37.7b
(*.f64 (cos.f64 x) (/.f64 (cbrt.f64 (pow.f64 (sinh.f64 y) 3)) y))
0.2b
(*.f64 (*.f64 (cos.f64 x) (/.f64 1 y)) (sinh.f64 y))
0.0b
(*.f64 (cos.f64 x) (/.f64 1 (/.f64 y (sinh.f64 y))))
0.3b
(cbrt.f64 (*.f64 (*.f64 (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))) (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))))
Compiler

Compiled 2452 to 1158 computations (52.8% saved)

localize11.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.0b
(sinh.f64 y)
0.2b
(*.f64 (*.f64 (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))) (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)))
0.3b
(*.f64 (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)))
0.3b
(cbrt.f64 (*.f64 (*.f64 (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))) (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))))

series240.0ms (3.5%)

Counts
3 → 72
Calls

3 calls:

128.0ms
(*.f64 (*.f64 (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))) (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)))
67.0ms
(*.f64 (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)))
45.0ms
(cbrt.f64 (*.f64 (*.f64 (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))) (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))))

rewrite86.0ms (1.2%)

Algorithm
rewrite-expression-head
Rules
228×add-cbrt-cube_binary64
210×add-exp-log_binary64
197×pow1_binary64
140×cbrt-unprod_binary64
134×prod-exp_binary64
Counts
3 → 194
Calls

3 calls:

17.0ms
(*.f64 (*.f64 (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))) (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)))
12.0ms
(cbrt.f64 (*.f64 (*.f64 (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))) (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))))
8.0ms
(*.f64 (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)))

simplify295.0ms (4.3%)

Algorithm
egg-herbie
Rules
424×associate-*l*_binary64
340×associate-*r*_binary64
311×fma-def_binary64
233×associate-+r+_binary64
209×times-frac_binary64
Counts
266 → 232
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
044310216
111475660
245145522
349735522
449955522
549585522

prune234.0ms (3.4%)

Pruning

4 alts after pruning (1 fresh and 3 done)

PrunedKeptTotal
New2920292
Fresh011
Picked011
Done022
Total2924296
Error
0b
Counts
296 → 4
Alt Table
StatusErrorProgram
37.7b
(*.f64 (cos.f64 x) (/.f64 (cbrt.f64 (pow.f64 (sinh.f64 y) 3)) y))
0.2b
(*.f64 (*.f64 (cos.f64 x) (/.f64 1 y)) (sinh.f64 y))
0.0b
(*.f64 (cos.f64 x) (/.f64 1 (/.f64 y (sinh.f64 y))))
0.3b
(cbrt.f64 (*.f64 (*.f64 (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))) (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))))
Compiler

Compiled 10849 to 2742 computations (74.7% saved)

regimes475.0ms (6.9%)

Accuracy

Total 0.0b remaining (57.2%)

Threshold costs 0.0b (57.2%)

Counts
89 → 1
Compiler

Compiled 6473 to 4300 computations (33.6% saved)

simplify2.0ms (0%)

Algorithm
egg-herbie
Rules
*-commutative_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0711
1811
2811

end75.0ms (1.1%)

Compiler

Compiled 78 to 46 computations (41% saved)

Profiling

Loading profile data...