Details

Time bar (total: 5.5s)

analyze426.0ms (7.8%)

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
12.5%87.4%0.1%4
18.7%81.1%0.1%5
18.7%81.1%0.1%6
21.8%78%0.1%7
27.3%61.6%11.1%8
28.5%60.5%11.1%9
32.6%53.4%14%10
40.2%38.1%21.7%11
41.8%35.8%22.4%12
44.5%29.2%26.3%13
47.1%21.3%31.6%14
Compiler

Compiled 12 to 8 computations (33.3% saved)

sample34.0ms (0.6%)

Algorithm
intervals
Results
9.0ms256×body128valid
7.0ms225×body128invalid
Compiler

Compiled 26 to 18 computations (30.8% saved)

simplify94.0ms (1.7%)

Algorithm
egg-herbie
Rules
436×distribute-rgt-in_binary64
421×fabs-mul_binary64
358×distribute-lft-in_binary64
322×div-sub_binary64
307×*-commutative_binary64
Counts
1 → 0
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0812
11912
24512
310512
421512
534812
658912
7162612
8175212
9209612
10290212
11336112
12458112
13510112

prune2.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New000
Fresh011
Picked000
Done000
Total011
Error
7.5b
Counts
1 → 1
Alt Table
StatusErrorProgram
7.5b
(/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z)
Compiler

Compiled 22 to 14 computations (36.4% saved)

localize6.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.0b
(*.f64 (cosh.f64 x) (/.f64 y x))
6.9b
(/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z)

rewrite72.0ms (1.3%)

Algorithm
rewrite-expression-head
Error
0.0b
Rules
17×add-sqr-sqrt_binary64
16×add-exp-log_binary64 add-cbrt-cube_binary64
13×times-frac_binary64 associate-*r*_binary64
12×add-cube-cbrt_binary64 *-un-lft-identity_binary64
div-exp_binary64 cbrt-undiv_binary64
Counts
2 → 60
Calls

2 calls:

8.0ms
(*.f64 (cosh.f64 x) (/.f64 y x))
7.0ms
(/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z)
Compiler

Compiled 874 to 232 computations (73.5% saved)

series115.0ms (2.1%)

Error
0.1b
Counts
2 → 21
Calls

2 calls:

62.0ms
(/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z)
33.0ms
(*.f64 (cosh.f64 x) (/.f64 y x))
Compiler

Compiled 935 to 598 computations (36% saved)

simplify120.0ms (2.2%)

Algorithm
egg-herbie
Rules
867×times-frac_binary64
448×associate-*l*_binary64
367×associate-*r*_binary64
336×associate-/r/_binary64
324×associate-/r*_binary64
Counts
81 → 60
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01701428
14061226
214261223
343801223
447331223
549951223
649511223

prune45.0ms (0.8%)

Pruning

9 alts after pruning (8 fresh and 1 done)

PrunedKeptTotal
New52860
Fresh000
Picked011
Done000
Total52961
Error
0.0b
Counts
61 → 9
Alt Table
StatusErrorProgram
7.1b
(*.f64 y (*.f64 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) x) (/.f64 1/2 z)))
7.8b
(/.f64 1 (/.f64 z (*.f64 (/.f64 y x) (cosh.f64 x))))
7.6b
(/.f64 (*.f64 (*.f64 y (cosh.f64 x)) (/.f64 1 x)) z)
6.3b
(*.f64 (cosh.f64 x) (/.f64 y (*.f64 x z)))
7.5b
(/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z)
36.3b
(*.f64 (sqrt.f64 (*.f64 (/.f64 y (*.f64 x z)) (cosh.f64 x))) (sqrt.f64 (*.f64 (/.f64 y (*.f64 x z)) (cosh.f64 x))))
38.4b
(/.f64 (*.f64 (/.f64 (cosh.f64 x) (sqrt.f64 x)) (/.f64 y (sqrt.f64 x))) z)
8.5b
(/.f64 (*.f64 (/.f64 y x) (/.f64 (cosh.f64 x) (*.f64 (cbrt.f64 z) (cbrt.f64 z)))) (cbrt.f64 z))
7.3b
(*.f64 (*.f64 (cbrt.f64 (*.f64 (/.f64 y (*.f64 x z)) (cosh.f64 x))) (cbrt.f64 (*.f64 (/.f64 y (*.f64 x z)) (cosh.f64 x)))) (cbrt.f64 (*.f64 (/.f64 y (*.f64 x z)) (cosh.f64 x))))
Compiler

Compiled 825 to 344 computations (58.3% saved)

localize9.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.0b
(*.f64 (cosh.f64 x) (/.f64 y (*.f64 x z)))
5.9b
(/.f64 y (*.f64 x z))

rewrite51.0ms (0.9%)

Algorithm
rewrite-expression-head
Error
0.0b
Rules
16×add-exp-log_binary64 add-cbrt-cube_binary64
add-sqr-sqrt_binary64
add-cube-cbrt_binary64 *-un-lft-identity_binary64 associate-*r*_binary64
times-frac_binary64
prod-exp_binary64 cbrt-unprod_binary64
Counts
2 → 50
Calls

2 calls:

8.0ms
(*.f64 (cosh.f64 x) (/.f64 y (*.f64 x z)))
4.0ms
(/.f64 y (*.f64 x z))
Compiler

Compiled 693 to 165 computations (76.2% saved)

series98.0ms (1.8%)

Error
0.0b
Counts
2 → 21
Calls

2 calls:

62.0ms
(*.f64 (cosh.f64 x) (/.f64 y (*.f64 x z)))
28.0ms
(/.f64 y (*.f64 x z))
Compiler

Compiled 746 to 476 computations (36.2% saved)

simplify76.0ms (1.4%)

Algorithm
egg-herbie
Rules
833×times-frac_binary64
524×associate-*l/_binary64
519×associate-*r/_binary64
491×associate-/l*_binary64
396×associate-/r*_binary64
Counts
71 → 47
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01271131
1303962
21052962
34820962
44978962

prune33.0ms (0.6%)

Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New44347
Fresh437
Picked011
Done101
Total49756
Error
0.0b
Counts
56 → 7
Alt Table
StatusErrorProgram
7.1b
(*.f64 y (*.f64 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) x) (/.f64 1/2 z)))
7.6b
(/.f64 (*.f64 (*.f64 y (cosh.f64 x)) (/.f64 1 x)) z)
6.0b
(*.f64 (/.f64 (cosh.f64 x) x) (/.f64 y z))
6.3b
(*.f64 (cosh.f64 x) (/.f64 y (*.f64 x z)))
6.1b
(*.f64 (cosh.f64 x) (/.f64 1 (/.f64 x (/.f64 y z))))
38.4b
(/.f64 (*.f64 (/.f64 (cosh.f64 x) (sqrt.f64 x)) (/.f64 y (sqrt.f64 x))) z)
34.1b
(*.f64 (cosh.f64 x) (/.f64 (sqrt.f64 y) (/.f64 x (/.f64 (sqrt.f64 y) z))))
Compiler

Compiled 611 to 243 computations (60.2% saved)

localize6.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.0b
(/.f64 (cosh.f64 x) x)
6.0b
(*.f64 (/.f64 (cosh.f64 x) x) (/.f64 y z))

rewrite74.0ms (1.4%)

Algorithm
rewrite-expression-head
Error
0b
Rules
36×add-sqr-sqrt_binary64
31×times-frac_binary64
24×add-cube-cbrt_binary64 *-un-lft-identity_binary64
16×add-exp-log_binary64 add-cbrt-cube_binary64
13×associate-*l*_binary64 associate-*r*_binary64
Counts
2 → 78
Calls

2 calls:

13.0ms
(*.f64 (/.f64 (cosh.f64 x) x) (/.f64 y z))
3.0ms
(/.f64 (cosh.f64 x) x)
Compiler

Compiled 1201 to 276 computations (77% saved)

series90.0ms (1.6%)

Error
0.0b
Counts
2 → 18
Calls

2 calls:

61.0ms
(*.f64 (/.f64 (cosh.f64 x) x) (/.f64 y z))
16.0ms
(/.f64 (cosh.f64 x) x)
Compiler

Compiled 779 to 512 computations (34.3% saved)

simplify115.0ms (2.1%)

Algorithm
egg-herbie
Rules
637×associate-/l*_binary64
521×associate-*l*_binary64
417×associate-/l/_binary64
382×associate-*r*_binary64
295×times-frac_binary64
Counts
96 → 63
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01881671
14711496
213901496
344551496
447351496
549671496

prune46.0ms (0.8%)

Pruning

8 alts after pruning (6 fresh and 2 done)

PrunedKeptTotal
New62163
Fresh055
Picked011
Done011
Total62870
Error
0b
Counts
70 → 8
Alt Table
StatusErrorProgram
7.1b
(*.f64 y (*.f64 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) x) (/.f64 1/2 z)))
6.9b
(*.f64 (/.f64 1 (*.f64 (cbrt.f64 x) (cbrt.f64 x))) (*.f64 (/.f64 y z) (/.f64 (cosh.f64 x) (cbrt.f64 x))))
7.6b
(/.f64 (*.f64 (*.f64 y (cosh.f64 x)) (/.f64 1 x)) z)
6.0b
(*.f64 (/.f64 (cosh.f64 x) x) (/.f64 y z))
6.3b
(*.f64 (cosh.f64 x) (/.f64 y (*.f64 x z)))
6.1b
(*.f64 (cosh.f64 x) (/.f64 1 (/.f64 x (/.f64 y z))))
38.4b
(/.f64 (*.f64 (/.f64 (cosh.f64 x) (sqrt.f64 x)) (/.f64 y (sqrt.f64 x))) z)
34.1b
(*.f64 (cosh.f64 x) (/.f64 (sqrt.f64 y) (/.f64 x (/.f64 (sqrt.f64 y) z))))
Compiler

Compiled 903 to 342 computations (62.1% saved)

localize7.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.0b
(*.f64 (cosh.f64 x) (/.f64 1 (/.f64 x (/.f64 y z))))
0.5b
(/.f64 1 (/.f64 x (/.f64 y z)))
5.8b
(/.f64 x (/.f64 y z))

rewrite455.0ms (8.3%)

Algorithm
rewrite-expression-head
Error
0b
Rules
813×times-frac_binary64
404×add-sqr-sqrt_binary64
384×*-un-lft-identity_binary64
381×add-cube-cbrt_binary64
137×associate-*r*_binary64
Counts
3 → 448
Calls

3 calls:

44.0ms
(*.f64 (cosh.f64 x) (/.f64 1 (/.f64 x (/.f64 y z))))
18.0ms
(/.f64 1 (/.f64 x (/.f64 y z)))
6.0ms
(/.f64 x (/.f64 y z))
Compiler

Compiled 10203 to 3865 computations (62.1% saved)

series123.0ms (2.3%)

Error
0b
Counts
3 → 30
Calls

3 calls:

63.0ms
(*.f64 (cosh.f64 x) (/.f64 1 (/.f64 x (/.f64 y z))))
27.0ms
(/.f64 1 (/.f64 x (/.f64 y z)))
25.0ms
(/.f64 x (/.f64 y z))
Compiler

Compiled 990 to 642 computations (35.2% saved)

simplify439.0ms (8%)

Algorithm
egg-herbie
Rules
366×associate-/r/_binary64
265×associate-*r/_binary64
249×associate-*l/_binary64
242×*-commutative_binary64
200×associate-/l*_binary64
Counts
478 → 429
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
03699142
18088361
231298232
337358232
448388232
549868232
649608232

prune392.0ms (7.2%)

Pruning

7 alts after pruning (5 fresh and 2 done)

PrunedKeptTotal
New4263429
Fresh325
Picked101
Done022
Total4307437
Error
0b
Counts
437 → 7
Alt Table
StatusErrorProgram
7.1b
(*.f64 y (*.f64 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) x) (/.f64 1/2 z)))
7.6b
(/.f64 (*.f64 (*.f64 y (cosh.f64 x)) (/.f64 1 x)) z)
34.2b
(*.f64 (cosh.f64 x) (*.f64 (sqrt.f64 y) (/.f64 (/.f64 (sqrt.f64 y) z) x)))
6.0b
(*.f64 (/.f64 (cosh.f64 x) x) (/.f64 y z))
6.3b
(*.f64 (cosh.f64 x) (/.f64 y (*.f64 x z)))
31.5b
(*.f64 (cosh.f64 x) (/.f64 (sqrt.f64 (/.f64 y z)) (/.f64 x (sqrt.f64 (/.f64 y z)))))
7.6b
(*.f64 (*.f64 (/.f64 y x) (cosh.f64 x)) (/.f64 1 z))
Compiler

Compiled 5308 to 1232 computations (76.8% saved)

regimes1.3s (23.5%)

Accuracy

Total 0.6b remaining (89.7%)

Threshold costs 0.6b (89.7%)

Compiler

Compiled 9540 to 5919 computations (38% saved)

bsearch62.0ms (1.1%)

Steps
ItersRangePoint
5
1.8917413086102628e-33
6.449082243563275e-32
6.083274916861838e-33
8
-1.285448777237333e+90
-4.588187657295781e+87
-4.651198953700106e+87
Compiler

Compiled 4 to 3 computations (25% saved)

simplify5.0ms (0.1%)

Algorithm
egg-herbie
Rules
*-commutative_binary64
+-commutative_binary64
1-exp_binary64 neg-mul-1_binary64 neg-sub0_binary64 sub-neg_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02961
14161
24361
34461
44361

end1.0ms (0%)

Compiler

Compiled 43 to 27 computations (37.2% saved)

sample1.2s (21.7%)

Algorithm
intervals
Results
271.0ms8000×body128valid
261.0ms7322×body128invalid
Compiler

Compiled 155 to 100 computations (35.5% saved)

Profiling

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