Details

Time bar (total: 4.0s)

analyze806.0ms (20.3%)

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
0%99.9%0.1%7
6.2%93.6%0.1%8
7.8%92.1%0.1%9
11.7%87.8%0.5%10
18.7%65.9%15.4%11
21.5%61%17.5%12
24.2%51.8%24%13
26.8%38.2%35%14
Compiler

Compiled 12 to 8 computations (33.3% saved)

sample1.6s (39.9%)

Results
886.0ms8256×body128valid
675.0ms6609×body128invalid
Compiler

Compiled 24 to 16 computations (33.3% saved)

preprocess48.0ms (1.2%)

Algorithm
egg-herbie
Rules
914×fma-neg_binary64
342×associate-/l*_binary64
336×fma-def_binary64
318×associate-/r/_binary64
267×distribute-rgt-in_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01948
15548
214448
338848
489548
5163948
6313148
7464348
033
Stop Event
saturated
node limit
Compiler

Compiled 11 to 7 computations (36.4% saved)

simplify34.0ms (0.9%)

Algorithm
egg-herbie
Rules
1052×fma-def_binary64
290×unswap-sqr_binary64
257×*-commutative_binary64
210×distribute-rgt-in_binary64
206×associate-/l*_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0812
11912
24612
311212
425112
545412
680912
7231112
8347512
9468012
Stop Event
node limit
Counts
1 → 2

prune3.0ms (0.1%)

Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New022
Fresh011
Picked000
Done000
Total033
Error
0.1b
Counts
3 → 2
Alt Table
StatusErrorProgram
8.3b
(/.f64 (cosh.f64 x) (*.f64 x (/.f64 z y)))
9.2b
(/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z)
Compiler

Compiled 63 to 38 computations (39.7% saved)

localize5.0ms (0.1%)

Local error

Found 2 expressions with local error:

NewErrorProgram
0.5b
(/.f64 (cosh.f64 x) (*.f64 x (/.f64 z y)))
7.9b
(*.f64 x (/.f64 z y))

series66.0ms (1.7%)

Counts
2 → 72
Calls

18 calls:

8.0ms
(/.f64 (cosh.f64 x) (*.f64 x (/.f64 z y)))
x
-inf
8.0ms
(/.f64 (cosh.f64 x) (*.f64 x (/.f64 z y)))
z
inf
7.0ms
(/.f64 (cosh.f64 x) (*.f64 x (/.f64 z y)))
x
inf
7.0ms
(/.f64 (cosh.f64 x) (*.f64 x (/.f64 z y)))
z
-inf
6.0ms
(/.f64 (cosh.f64 x) (*.f64 x (/.f64 z y)))
y
0

rewrite47.0ms (1.2%)

Algorithm
batch-egg-rewrite
Rules
537×log-prod_binary64
172×expm1-udef_binary64
172×log1p-udef_binary64
162×pow3_binary64
160×log-div_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0819
117719
2263619
Stop Event
node limit
Counts
2 → 76

simplify47.0ms (1.2%)

Algorithm
egg-herbie
Rules
818×fma-def_binary64
407×associate-/r/_binary64
383×associate-/r*_binary64
323×associate-*l/_binary64
259×associate-/l*_binary64
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
0491089
11511021
23761021
38841017
424511005
Stop Event
node limit
Counts
148 → 90

prune54.0ms (1.4%)

Pruning

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New84690
Fresh011
Picked011
Done000
Total84892
Error
0.0b
Counts
92 → 8
Alt Table
StatusErrorProgram
7.3b
(/.f64 y (*.f64 z x))
9.2b
(/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z)
8.1b
(*.f64 (cosh.f64 x) (/.f64 (/.f64 y z) x))
7.6b
(/.f64 (cosh.f64 x) (pow.f64 (cbrt.f64 (/.f64 (*.f64 x z) y)) 3))
8.3b
(/.f64 (cosh.f64 x) (*.f64 x (/.f64 z y)))
8.5b
(/.f64 (cosh.f64 x) (*.f64 z (/.f64 x y)))
8.3b
(pow.f64 (/.f64 (/.f64 z y) (/.f64 (cosh.f64 x) x)) -1)
7.1b
(*.f64 (/.f64 (/.f64 (cosh.f64 x) x) z) y)
Compiler

Compiled 1370 to 487 computations (64.5% saved)

localize6.0ms (0.2%)

Local error

Found 2 expressions with local error:

NewErrorProgram
0.2b
(/.f64 (/.f64 (cosh.f64 x) x) z)
6.5b
(*.f64 (/.f64 (/.f64 (cosh.f64 x) x) z) y)

series86.0ms (2.2%)

Counts
2 → 60
Calls

15 calls:

9.0ms
(*.f64 (/.f64 (/.f64 (cosh.f64 x) x) z) y)
x
-inf
8.0ms
(*.f64 (/.f64 (/.f64 (cosh.f64 x) x) z) y)
z
-inf
8.0ms
(/.f64 (/.f64 (cosh.f64 x) x) z)
x
-inf
7.0ms
(*.f64 (/.f64 (/.f64 (cosh.f64 x) x) z) y)
x
inf
7.0ms
(/.f64 (/.f64 (cosh.f64 x) x) z)
z
-inf

rewrite47.0ms (1.2%)

Algorithm
batch-egg-rewrite
Rules
520×log-prod_binary64
177×pow1/3_binary64
170×expm1-udef_binary64
170×log1p-udef_binary64
162×log-div_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0821
117621
2259721
Stop Event
node limit
Counts
2 → 80

simplify62.0ms (1.5%)

Algorithm
egg-herbie
Rules
451×associate-/r/_binary64
391×associate-/r*_binary64
369×associate-*l/_binary64
306×associate-/l*_binary64
285×fma-def_binary64
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
0621296
11921208
24741208
310591204
428051196
549451196
Stop Event
node limit
Counts
140 → 104

prune62.0ms (1.6%)

Pruning

8 alts after pruning (6 fresh and 2 done)

PrunedKeptTotal
New1022104
Fresh246
Picked011
Done011
Total1048112
Error
0b
Counts
112 → 8
Alt Table
StatusErrorProgram
8.1b
(*.f64 (cosh.f64 x) (/.f64 (/.f64 y z) x))
7.6b
(/.f64 (cosh.f64 x) (pow.f64 (cbrt.f64 (/.f64 (*.f64 x z) y)) 3))
8.3b
(/.f64 (cosh.f64 x) (*.f64 x (/.f64 z y)))
9.2b
(/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z)
8.5b
(/.f64 (cosh.f64 x) (*.f64 z (/.f64 x y)))
9.3b
(/.f64 (*.f64 (/.f64 (cosh.f64 x) x) y) z)
8.2b
(/.f64 (/.f64 (cosh.f64 x) x) (/.f64 z y))
7.1b
(*.f64 (/.f64 (/.f64 (cosh.f64 x) x) z) y)
Compiler

Compiled 1591 to 644 computations (59.5% saved)

localize9.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.5b
(/.f64 (cosh.f64 x) (pow.f64 (cbrt.f64 (/.f64 (*.f64 x z) y)) 3))
0.7b
(pow.f64 (cbrt.f64 (/.f64 (*.f64 x z) y)) 3)
4.2b
(cbrt.f64 (/.f64 (*.f64 x z) y))
5.9b
(/.f64 (*.f64 x z) y)

series338.0ms (8.5%)

Counts
4 → 72
Calls

36 calls:

62.0ms
(/.f64 (cosh.f64 x) (pow.f64 (cbrt.f64 (/.f64 (*.f64 x z) y)) 3))
y
-inf
58.0ms
(/.f64 (cosh.f64 x) (pow.f64 (cbrt.f64 (/.f64 (*.f64 x z) y)) 3))
x
-inf
58.0ms
(/.f64 (cosh.f64 x) (pow.f64 (cbrt.f64 (/.f64 (*.f64 x z) y)) 3))
z
-inf
20.0ms
(pow.f64 (cbrt.f64 (/.f64 (*.f64 x z) y)) 3)
z
-inf
20.0ms
(pow.f64 (cbrt.f64 (/.f64 (*.f64 x z) y)) 3)
y
-inf

rewrite64.0ms (1.6%)

Algorithm
batch-egg-rewrite
Rules
610×log-prod_binary64
198×egg-rr
197×expm1-udef_binary64
197×log1p-udef_binary64
178×log-pow_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01135
123735
2312435
Stop Event
node limit
Counts
4 → 198

simplify45.0ms (1.1%)

Algorithm
egg-herbie
Rules
818×fma-def_binary64
407×associate-/r/_binary64
383×associate-/r*_binary64
323×associate-*l/_binary64
259×associate-/l*_binary64
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
0491089
11511021
23761021
38841017
424511005
Stop Event
node limit
Counts
270 → 165

prune77.0ms (1.9%)

Pruning

8 alts after pruning (5 fresh and 3 done)

PrunedKeptTotal
New1650165
Fresh055
Picked011
Done022
Total1658173
Error
0b
Counts
173 → 8
Alt Table
StatusErrorProgram
8.1b
(*.f64 (cosh.f64 x) (/.f64 (/.f64 y z) x))
7.6b
(/.f64 (cosh.f64 x) (pow.f64 (cbrt.f64 (/.f64 (*.f64 x z) y)) 3))
8.3b
(/.f64 (cosh.f64 x) (*.f64 x (/.f64 z y)))
9.2b
(/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z)
8.5b
(/.f64 (cosh.f64 x) (*.f64 z (/.f64 x y)))
9.3b
(/.f64 (*.f64 (/.f64 (cosh.f64 x) x) y) z)
8.2b
(/.f64 (/.f64 (cosh.f64 x) x) (/.f64 z y))
7.1b
(*.f64 (/.f64 (/.f64 (cosh.f64 x) x) z) y)
Compiler

Compiled 2737 to 1061 computations (61.2% saved)

localize5.0ms (0.1%)

Local error

Found 2 expressions with local error:

NewErrorProgram
0.0b
(*.f64 (cosh.f64 x) (/.f64 (/.f64 y z) x))
8.1b
(/.f64 (/.f64 y z) x)

series72.0ms (1.8%)

Counts
2 → 72
Calls

18 calls:

10.0ms
(*.f64 (cosh.f64 x) (/.f64 (/.f64 y z) x))
x
-inf
9.0ms
(*.f64 (cosh.f64 x) (/.f64 (/.f64 y z) x))
z
-inf
7.0ms
(*.f64 (cosh.f64 x) (/.f64 (/.f64 y z) x))
x
inf
7.0ms
(*.f64 (cosh.f64 x) (/.f64 (/.f64 y z) x))
y
-inf
6.0ms
(*.f64 (cosh.f64 x) (/.f64 (/.f64 y z) x))
z
inf

rewrite48.0ms (1.2%)

Algorithm
batch-egg-rewrite
Rules
519×log-prod_binary64
177×pow1/3_binary64
170×log-div_binary64
170×expm1-udef_binary64
170×log1p-udef_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0819
117619
2261819
Stop Event
node limit
Counts
2 → 89

simplify44.0ms (1.1%)

Algorithm
egg-herbie
Rules
824×fma-def_binary64
406×associate-/r/_binary64
384×associate-/r*_binary64
324×associate-*l/_binary64
259×associate-/l*_binary64
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
0481089
11501021
23751021
38841017
424551005
Stop Event
node limit
Counts
161 → 101

prune50.0ms (1.2%)

Pruning

8 alts after pruning (4 fresh and 4 done)

PrunedKeptTotal
New1010101
Fresh044
Picked011
Done033
Total1018109
Error
0b
Counts
109 → 8
Alt Table
StatusErrorProgram
8.1b
(*.f64 (cosh.f64 x) (/.f64 (/.f64 y z) x))
7.6b
(/.f64 (cosh.f64 x) (pow.f64 (cbrt.f64 (/.f64 (*.f64 x z) y)) 3))
8.3b
(/.f64 (cosh.f64 x) (*.f64 x (/.f64 z y)))
9.2b
(/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z)
8.5b
(/.f64 (cosh.f64 x) (*.f64 z (/.f64 x y)))
9.3b
(/.f64 (*.f64 (/.f64 (cosh.f64 x) x) y) z)
8.2b
(/.f64 (/.f64 (cosh.f64 x) x) (/.f64 z y))
7.1b
(*.f64 (/.f64 (/.f64 (cosh.f64 x) x) z) y)
Compiler

Compiled 1441 to 554 computations (61.6% saved)

regimes177.0ms (4.5%)

Accuracy

Total 0.3b remaining (80%)

Threshold costs 0.3b (80%)

Counts
18 → 3
Compiler

Compiled 1074 to 704 computations (34.5% saved)

bsearch1.0ms (0%)

Algorithm
left-value
Calls

2 calls:

0.0ms
(/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z)
0.0ms
(/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z)
Steps
ItersPointRange
4.894914819057092e+146
∈ [
4.894914819057092e+146
,
1.9600582533509797e+147
]
-3.03197732379256e+304
∈ [
-3.03197732379256e+304
,
-3.4071186309750915e+303
]
Compiler

Compiled 11 to 7 computations (36.4% saved)

simplify3.0ms (0.1%)

Algorithm
egg-herbie
Rules
*-commutative_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02065
12265
Stop Event
saturated

end84.0ms (2.1%)

Stop Event
fuel
Compiler

Compiled 183 to 95 computations (48.1% saved)

Profiling

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