Details

Time bar (total: 6.3s)

analyze857.0ms (13.7%)

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)

sample69.0ms (1.1%)

Algorithm
intervals
Results
22.0ms256×body128valid
18.0ms235×body128invalid
Compiler

Compiled 26 to 18 computations (30.8% saved)

simplify95.0ms (1.5%)

Algorithm
egg-herbie
Rules
1052×fma-def_binary64
423×fabs-mul_binary64
333×distribute-rgt-in_binary64
319×div-sub_binary64
307×*-commutative_binary64
Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0812
11912
24512
310512
421912
536012
661712
7169812
8203712
9262912
10343712
11390912
12455712
13503912

prune3.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022
Error
7.7b
Counts
2 → 1
Alt Table
StatusErrorProgram
7.7b
(/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z)
Compiler

Compiled 33 to 21 computations (36.4% saved)

localize11.0ms (0.2%)

Local error

Found 2 expressions with local error:

NewErrorProgram
0.0b
(*.f64 (cosh.f64 x) (/.f64 y x))
7.3b
(/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z)

series198.0ms (3.2%)

Counts
2 → 60
Calls

2 calls:

130.0ms
(/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z)
67.0ms
(*.f64 (cosh.f64 x) (/.f64 y x))

rewrite29.0ms (0.5%)

Algorithm
rewrite-expression-head
Rules
17×add-sqr-sqrt_binary64
16×add-cbrt-cube_binary64
16×add-exp-log_binary64
13×associate-*r*_binary64
13×times-frac_binary64
Counts
2 → 64
Calls

2 calls:

11.0ms
(*.f64 (cosh.f64 x) (/.f64 y x))
10.0ms
(/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z)

simplify156.0ms (2.5%)

Algorithm
egg-herbie
Rules
860×times-frac_binary64
530×fma-def_binary64
444×associate-*l*_binary64
362×associate-*r*_binary64
348×associate-/r/_binary64
Counts
124 → 120
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01722288
14322019
214882017
344332011
449882011

prune166.0ms (2.7%)

Pruning

9 alts after pruning (8 fresh and 1 done)

PrunedKeptTotal
New1128120
Fresh000
Picked011
Done000
Total1129121
Error
0.0b
Counts
121 → 9
Alt Table
StatusErrorProgram
5.8b
(*.f64 (cosh.f64 x) (/.f64 y (*.f64 z x)))
7.8b
(/.f64 (*.f64 (*.f64 (cosh.f64 x) y) (/.f64 1 x)) z)
7.7b
(/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z)
34.9b
(/.f64 (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) (sqrt.f64 z)) (sqrt.f64 z))
7.6b
(/.f64 (cosh.f64 x) (/.f64 z (/.f64 y x)))
7.8b
(*.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) (/.f64 1 z))
8.5b
(*.f64 (/.f64 (cosh.f64 x) (*.f64 (cbrt.f64 z) (cbrt.f64 z))) (/.f64 (/.f64 y x) (cbrt.f64 z)))
31.9b
(*.f64 (sqrt.f64 (*.f64 (/.f64 y (*.f64 z x)) (cosh.f64 x))) (sqrt.f64 (*.f64 (/.f64 y (*.f64 z x)) (cosh.f64 x))))
6.7b
(*.f64 (*.f64 (cbrt.f64 (*.f64 (/.f64 y (*.f64 z x)) (cosh.f64 x))) (cbrt.f64 (*.f64 (/.f64 y (*.f64 z x)) (cosh.f64 x)))) (cbrt.f64 (*.f64 (/.f64 y (*.f64 z x)) (cosh.f64 x))))
Compiler

Compiled 2028 to 668 computations (67.1% saved)

localize12.0ms (0.2%)

Local error

Found 2 expressions with local error:

NewErrorProgram
0.0b
(*.f64 (cosh.f64 x) (/.f64 y (*.f64 z x)))
5.4b
(/.f64 y (*.f64 z x))

series167.0ms (2.7%)

Counts
2 → 36
Calls

2 calls:

127.0ms
(*.f64 (cosh.f64 x) (/.f64 y (*.f64 z x)))
40.0ms
(/.f64 y (*.f64 z x))

rewrite24.0ms (0.4%)

Algorithm
rewrite-expression-head
Rules
16×add-cbrt-cube_binary64
16×add-exp-log_binary64
add-sqr-sqrt_binary64
associate-*r*_binary64
*-un-lft-identity_binary64
Counts
2 → 54
Calls

2 calls:

12.0ms
(*.f64 (cosh.f64 x) (/.f64 y (*.f64 z x)))
6.0ms
(/.f64 y (*.f64 z x))

simplify118.0ms (1.9%)

Algorithm
egg-herbie
Rules
807×times-frac_binary64
523×associate-*r/_binary64
521×associate-*l/_binary64
483×associate-/l*_binary64
396×associate-/r*_binary64
Counts
90 → 89
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01301642
13211429
210801427
348031427
450681427

prune103.0ms (1.6%)

Pruning

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New84589
Fresh527
Picked101
Done011
Total90898
Error
0b
Counts
98 → 8
Alt Table
StatusErrorProgram
7.7b
(/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z)
6.0b
(/.f64 (*.f64 y (cosh.f64 x)) (*.f64 z x))
7.3b
(*.f64 (cosh.f64 x) (/.f64 (/.f64 y z) x))
6.3b
(*.f64 (cosh.f64 x) (/.f64 (*.f64 (cbrt.f64 y) (cbrt.f64 y)) (/.f64 z (/.f64 (cbrt.f64 y) x))))
34.9b
(/.f64 (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) (sqrt.f64 z)) (sqrt.f64 z))
5.8b
(*.f64 (cosh.f64 x) (/.f64 1 (/.f64 (*.f64 z x) y)))
31.1b
(*.f64 (cosh.f64 x) (*.f64 (/.f64 (sqrt.f64 y) z) (/.f64 (sqrt.f64 y) x)))
8.5b
(*.f64 (/.f64 (cosh.f64 x) (*.f64 (cbrt.f64 z) (cbrt.f64 z))) (/.f64 (/.f64 y x) (cbrt.f64 z)))
Compiler

Compiled 1509 to 458 computations (69.6% saved)

localize14.0ms (0.2%)

Local error

Found 3 expressions with local error:

NewErrorProgram
0.0b
(*.f64 (cosh.f64 x) (/.f64 1 (/.f64 (*.f64 z x) y)))
0.3b
(/.f64 1 (/.f64 (*.f64 z x) y))
5.4b
(/.f64 (*.f64 z x) y)

series193.0ms (3.1%)

Counts
3 → 72
Calls

3 calls:

124.0ms
(*.f64 (cosh.f64 x) (/.f64 1 (/.f64 (*.f64 z x) y)))
35.0ms
(/.f64 1 (/.f64 (*.f64 z x) y))
34.0ms
(/.f64 (*.f64 z x) y)

rewrite60.0ms (1%)

Algorithm
rewrite-expression-head
Rules
68×times-frac_binary64
61×add-exp-log_binary64
43×add-sqr-sqrt_binary64
37×*-un-lft-identity_binary64
36×add-cube-cbrt_binary64
Counts
3 → 142
Calls

3 calls:

20.0ms
(*.f64 (cosh.f64 x) (/.f64 1 (/.f64 (*.f64 z x) y)))
10.0ms
(/.f64 1 (/.f64 (*.f64 z x) y))
7.0ms
(/.f64 (*.f64 z x) y)

simplify194.0ms (3.1%)

Algorithm
egg-herbie
Rules
765×associate-/l*_binary64
551×associate-/r/_binary64
542×associate-/r*_binary64
461×fma-def_binary64
399×*-commutative_binary64
Counts
214 → 211
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01793208
14102792
214502444
341122444
450022444

prune206.0ms (3.3%)

Pruning

7 alts after pruning (5 fresh and 2 done)

PrunedKeptTotal
New2092211
Fresh336
Picked011
Done011
Total2127219
Error
0b
Counts
219 → 7
Alt Table
StatusErrorProgram
7.7b
(/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z)
6.0b
(/.f64 (*.f64 y (cosh.f64 x)) (*.f64 z x))
7.3b
(*.f64 (cosh.f64 x) (/.f64 (/.f64 y z) x))
5.8b
(*.f64 (cosh.f64 x) (/.f64 1 (/.f64 (*.f64 z x) y)))
31.1b
(*.f64 (cosh.f64 x) (*.f64 (/.f64 (sqrt.f64 y) z) (/.f64 (sqrt.f64 y) x)))
6.7b
(*.f64 (cosh.f64 x) (/.f64 1 (*.f64 z (/.f64 x y))))
6.6b
(*.f64 (/.f64 (cosh.f64 x) (*.f64 z x)) y)
Compiler

Compiled 3652 to 1350 computations (63% saved)

localize14.0ms (0.2%)

Local error

Found 1 expressions with local error:

NewErrorProgram
5.7b
(/.f64 (*.f64 y (cosh.f64 x)) (*.f64 z x))

series131.0ms (2.1%)

Counts
1 → 36
Calls

1 calls:

131.0ms
(/.f64 (*.f64 y (cosh.f64 x)) (*.f64 z x))

rewrite14.0ms (0.2%)

Algorithm
rewrite-expression-head
Rules
13×add-cbrt-cube_binary64
13×add-exp-log_binary64
cbrt-unprod_binary64
cbrt-undiv_binary64
div-exp_binary64
Counts
1 → 24
Calls

1 calls:

10.0ms
(/.f64 (*.f64 y (cosh.f64 x)) (*.f64 z x))

simplify101.0ms (1.6%)

Algorithm
egg-herbie
Rules
668×associate-/r*_binary64
496×associate-*l/_binary64
466×associate-*l*_binary64
421×associate-*r/_binary64
358×associate-*r*_binary64
Counts
60 → 50
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01001257
12861096
211441096
347521096
450201096

prune57.0ms (0.9%)

Pruning

7 alts after pruning (4 fresh and 3 done)

PrunedKeptTotal
New50050
Fresh044
Picked011
Done022
Total50757
Error
0b
Counts
57 → 7
Alt Table
StatusErrorProgram
7.7b
(/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z)
6.0b
(/.f64 (*.f64 y (cosh.f64 x)) (*.f64 z x))
7.3b
(*.f64 (cosh.f64 x) (/.f64 (/.f64 y z) x))
5.8b
(*.f64 (cosh.f64 x) (/.f64 1 (/.f64 (*.f64 z x) y)))
31.1b
(*.f64 (cosh.f64 x) (*.f64 (/.f64 (sqrt.f64 y) z) (/.f64 (sqrt.f64 y) x)))
6.7b
(*.f64 (cosh.f64 x) (/.f64 1 (*.f64 z (/.f64 x y))))
6.6b
(*.f64 (/.f64 (cosh.f64 x) (*.f64 z x)) y)
Compiler

Compiled 828 to 272 computations (67.1% saved)

regimes1.0s (16.5%)

Accuracy

Total 0.2b remaining (85.4%)

Threshold costs 0.2b (85.4%)

Counts
68 → 3
Compiler

Compiled 5937 to 3469 computations (41.6% saved)

bsearch4.0ms (0.1%)

Compiler

Compiled 11 to 7 computations (36.4% saved)

simplify6.0ms (0.1%)

Algorithm
egg-herbie
Rules
*-commutative_binary64
if-if-or-not_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01860
12360
22360

end1.0ms (0%)

Compiler

Compiled 42 to 17 computations (59.5% saved)

sample2.2s (35.5%)

Algorithm
intervals
Results
642.0ms8000×body128valid
590.0ms7474×body128invalid
Compiler

Compiled 142 to 83 computations (41.5% saved)

Profiling

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