Details

Time bar (total: 3.8s)

analyze609.0ms (15.9%)

Algorithm
1×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%79.6%14.2%8
7.8%75.7%16.5%9
11.7%68.6%19.6%10
20.3%49.3%30.4%11
22.2%44.4%33.4%12
25.2%37.3%37.5%13
28%27.3%44.7%14
Compiler

Compiled 12 to 8 computations (33.3% saved)

sample1.4s (36.1%)

Results
872.0ms8256×body128valid
487.0ms4465×body128invalid
Compiler

Compiled 24 to 16 computations (33.3% saved)

preprocess48.0ms (1.2%)

Algorithm
2×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
1×saturated
1×node limit
Compiler

Compiled 11 to 7 computations (36.4% saved)

simplify31.0ms (0.8%)

Algorithm
1×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
1×node limit
Counts
1 → 2

prune5.0ms (0.1%)

Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New022
Fresh011
Picked000
Done000
Total033
Error
0.2b
Counts
3 → 2
Alt Table
StatusErrorProgram
▶5.8b
(/.f64 (cosh.f64 x) (*.f64 x (/.f64 z y)))
6.5b
(/.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 3 expressions with local error:

NewErrorProgram
✓0.0b
(cosh.f64 x)
✓0.5b
(/.f64 (cosh.f64 x) (*.f64 x (/.f64 z y)))
✓5.5b
(*.f64 x (/.f64 z y))

series78.0ms (2%)

Counts
3 → 84
Calls

21 calls:

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

rewrite56.0ms (1.5%)

Algorithm
1×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
0822
117722
2263622
Stop Event
1×node limit
Counts
3 → 103

simplify54.0ms (1.4%)

Algorithm
1×egg-herbie
Rules
554×associate-*l*_binary64
508×associate-*r*_binary64
492×unswap-sqr_binary64
457×fma-def_binary64
348×associate-/l*_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
0641245
11921165
24861163
313091159
448341159
Stop Event
1×node limit
Counts
187 → 127

prune81.0ms (2.1%)

Pruning

5 alts after pruning (5 fresh and 0 done)

PrunedKeptTotal
New1234127
Fresh011
Picked101
Done000
Total1245129
Error
0.0b
Counts
129 → 5
Alt Table
StatusErrorProgram
6.8b
(*.f64 (/.f64 (/.f64 (cosh.f64 x) x) z) y)
6.2b
(/.f64 (cosh.f64 x) (/.f64 (*.f64 z x) y))
5.0b
(*.f64 (/.f64 y z) (/.f64 (cosh.f64 x) x))
▶5.0b
(*.f64 (cosh.f64 x) (/.f64 (/.f64 y z) x))
6.5b
(/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z)
Compiler

Compiled 1808 to 637 computations (64.8% saved)

localize6.0ms (0.2%)

Local error

Found 3 expressions with local error:

NewErrorProgram
0.0b
(cosh.f64 x)
✓0.0b
(*.f64 (cosh.f64 x) (/.f64 (/.f64 y z) x))
✓5.0b
(/.f64 (/.f64 y z) x)

series74.0ms (1.9%)

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

rewrite49.0ms (1.3%)

Algorithm
1×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
1×node limit
Counts
2 → 89

simplify45.0ms (1.2%)

Algorithm
1×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
1×node limit
Counts
161 → 101

prune77.0ms (2%)

Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New1361137
Fresh044
Picked011
Done000
Total1366142
Error
0b
Counts
142 → 6
Alt Table
StatusErrorProgram
6.8b
(*.f64 (/.f64 (/.f64 (cosh.f64 x) x) z) y)
6.0b
(*.f64 (cosh.f64 x) (*.f64 (pow.f64 (cbrt.f64 (/.f64 y z)) 2) (*.f64 (cbrt.f64 (/.f64 y z)) (/.f64 1 x))))
6.2b
(/.f64 (cosh.f64 x) (/.f64 (*.f64 z x) y))
▶5.0b
(*.f64 (/.f64 y z) (/.f64 (cosh.f64 x) x))
✓5.0b
(*.f64 (cosh.f64 x) (/.f64 (/.f64 y z) x))
6.5b
(/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z)
Compiler

Compiled 1975 to 779 computations (60.6% saved)

localize5.0ms (0.1%)

Local error

Found 2 expressions with local error:

NewErrorProgram
0.0b
(cosh.f64 x)
✓5.0b
(*.f64 (/.f64 y z) (/.f64 (cosh.f64 x) x))

series61.0ms (1.6%)

Counts
1 → 36
Calls

9 calls:

13.0ms
(*.f64 (/.f64 y z) (/.f64 (cosh.f64 x) x))
x
-inf
8.0ms
(*.f64 (/.f64 y z) (/.f64 (cosh.f64 x) x))
y
0
7.0ms
(*.f64 (/.f64 y z) (/.f64 (cosh.f64 x) x))
x
inf
7.0ms
(*.f64 (/.f64 y z) (/.f64 (cosh.f64 x) x))
z
-inf
7.0ms
(*.f64 (/.f64 y z) (/.f64 (cosh.f64 x) x))
y
-inf

rewrite47.0ms (1.2%)

Algorithm
1×batch-egg-rewrite
Rules
530×log-prod_binary64
185×log-div_binary64
174×expm1-udef_binary64
174×log1p-udef_binary64
164×pow3_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0812
117912
2271112
Stop Event
1×node limit
Counts
1 → 62

simplify38.0ms (1%)

Algorithm
1×egg-herbie
Rules
824×fma-def_binary64
406×associate-/r/_binary64
386×associate-/r*_binary64
325×associate-*l/_binary64
258×associate-/l*_binary64
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
048805
1150769
2375769
3884765
42456753
Stop Event
1×node limit
Counts
98 → 75

prune66.0ms (1.7%)

Pruning

6 alts after pruning (4 fresh and 2 done)

PrunedKeptTotal
New1110111
Fresh044
Picked011
Done011
Total1116117
Error
0b
Counts
117 → 6
Alt Table
StatusErrorProgram
6.8b
(*.f64 (/.f64 (/.f64 (cosh.f64 x) x) z) y)
▶6.0b
(*.f64 (cosh.f64 x) (*.f64 (pow.f64 (cbrt.f64 (/.f64 y z)) 2) (*.f64 (cbrt.f64 (/.f64 y z)) (/.f64 1 x))))
6.2b
(/.f64 (cosh.f64 x) (/.f64 (*.f64 z x) y))
✓5.0b
(*.f64 (/.f64 y z) (/.f64 (cosh.f64 x) x))
✓5.0b
(*.f64 (cosh.f64 x) (/.f64 (/.f64 y z) x))
6.5b
(/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z)
Compiler

Compiled 1500 to 595 computations (60.3% saved)

localize11.0ms (0.3%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.3b
(*.f64 (cbrt.f64 (/.f64 y z)) (/.f64 1 x))
✓0.5b
(pow.f64 (cbrt.f64 (/.f64 y z)) 2)
✓0.6b
(*.f64 (pow.f64 (cbrt.f64 (/.f64 y z)) 2) (*.f64 (cbrt.f64 (/.f64 y z)) (/.f64 1 x)))
✓8.6b
(cbrt.f64 (/.f64 y z))

series317.0ms (8.3%)

Counts
4 → 48
Calls

30 calls:

58.0ms
(*.f64 (pow.f64 (cbrt.f64 (/.f64 y z)) 2) (*.f64 (cbrt.f64 (/.f64 y z)) (/.f64 1 x)))
z
-inf
51.0ms
(*.f64 (pow.f64 (cbrt.f64 (/.f64 y z)) 2) (*.f64 (cbrt.f64 (/.f64 y z)) (/.f64 1 x)))
y
-inf
31.0ms
(*.f64 (cbrt.f64 (/.f64 y z)) (/.f64 1 x))
x
-inf
29.0ms
(pow.f64 (cbrt.f64 (/.f64 y z)) 2)
y
-inf
25.0ms
(*.f64 (cbrt.f64 (/.f64 y z)) (/.f64 1 x))
x
inf

rewrite58.0ms (1.5%)

Algorithm
1×batch-egg-rewrite
Rules
571×log-prod_binary64
197×expm1-udef_binary64
197×log1p-udef_binary64
183×log-pow_binary64
126×egg-rr
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01234
124831
2305031
Stop Event
1×node limit
Counts
4 → 126

simplify63.0ms (1.7%)

Algorithm
1×egg-herbie
Rules
545×associate-*r/_binary64
375×*-commutative_binary64
325×associate-/l/_binary64
317×associate-/l*_binary64
298×associate-/r*_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
012396
125360
243360
379360
4181360
5559360
61105360
72830360
83630360
93853360
104003360
114282360
124626360
Stop Event
1×node limit
Counts
174 → 127

prune79.0ms (2.1%)

Pruning

6 alts after pruning (3 fresh and 3 done)

PrunedKeptTotal
New1640164
Fresh033
Picked011
Done022
Total1646170
Error
0b
Counts
170 → 6
Alt Table
StatusErrorProgram
6.8b
(*.f64 (/.f64 (/.f64 (cosh.f64 x) x) z) y)
✓6.0b
(*.f64 (cosh.f64 x) (*.f64 (pow.f64 (cbrt.f64 (/.f64 y z)) 2) (*.f64 (cbrt.f64 (/.f64 y z)) (/.f64 1 x))))
6.2b
(/.f64 (cosh.f64 x) (/.f64 (*.f64 z x) y))
✓5.0b
(*.f64 (/.f64 y z) (/.f64 (cosh.f64 x) x))
✓5.0b
(*.f64 (cosh.f64 x) (/.f64 (/.f64 y z) x))
6.5b
(/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z)
Compiler

Compiled 3402 to 1435 computations (57.8% saved)

regimes390.0ms (10.2%)

Accuracy

Total 0.7b remaining (90.5%)

Threshold costs 0.7b (90.5%)

Counts
46 → 3
Compiler

Compiled 3489 to 2299 computations (34.1% saved)

bsearch1.0ms (0%)

Algorithm
2×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
1.0788965712164023e-57
∈ [
1.0788965712164023e-57
, 
1.7462293723631825e-50
]
-1.675492548169809e-21
∈ [
-1.675492548169809e-21
, 
-1.5004774827085564e-21
]
Compiler

Compiled 11 to 7 computations (36.4% saved)

simplify3.0ms (0.1%)

Algorithm
1×egg-herbie
Rules
4×*-commutative_binary64
2×+-commutative_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
026102
132102
Stop Event
1×saturated

end85.0ms (2.2%)

Stop Event
1×fuel
Compiler

Compiled 218 to 114 computations (47.7% saved)

Profiling

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