VandenBroeck and Keller, Equation (20)

Time bar (total: 19.0s)

analyze188.0ms (1%)

Memory
21.6MiB live, 256.6MiB allocated
Algorithm
1×search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%100%0%0%0%0%0
0%0%100%0%0%0%0%1
0%0%100%0%0%0%0%2
0%0%75%0%0%25%0%3
0%0%62.5%0%0%37.5%0%4
0%0%56.2%0%0%43.7%0%5
0%0%53.1%0%0%46.9%0%6
3.1%1.6%48.4%0%0%50%0%7
4.8%2.3%46.1%0%0%51.5%0%8
5.6%2.7%45.7%0%0%51.5%0%9
6.5%3.1%45.1%0%0%51.7%0%10
6.9%3.3%44.8%0%0%51.8%0%11
6.9%3.3%44.8%0%0%51.9%0%12
Compiler

Compiled 39 to 18 computations (53.8% saved)

sample6.3s (33.2%)

Memory
137.6MiB live, 6 461.2MiB allocated
Samples
2.6s7 605×1valid
2.0s7 417×1invalid
136.0ms146×2valid
121.0ms505×0valid
1.0ms7×0invalid
0.0ms5×0exit
Precisions
Click to see histograms. Total time spent on operations: 4.3s
ival-exp: 1.1s (26.2% of total)
ival-div: 1.0s (23.7% of total)
ival-mult: 478.0ms (11.2% of total)
ival-neg: 392.0ms (9.2% of total)
adjust: 335.0ms (7.8% of total)
ival-log: 311.0ms (7.3% of total)
ival-pi: 247.0ms (5.8% of total)
ival-sub: 178.0ms (4.2% of total)
ival-add: 162.0ms (3.8% of total)
exact: 24.0ms (0.6% of total)
ival-true: 12.0ms (0.3% of total)
ival-assert: 6.0ms (0.1% of total)
Bogosity

preprocess547.0ms (2.9%)

Memory
-20.0MiB live, 540.8MiB allocated
Algorithm
1×egg-herbie
Rules
8 988×lower-fma.f64
8 988×lower-fma.f32
2 264×lower-+.f32
2 262×lower-+.f64
2 004×lower--.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01881
15364
216364
345864
487864
5120064
6144064
7153764
8177064
9189764
10216152
11248150
12271550
13312650
14376550
15452550
16527350
17648450
18675850
19677050
20747050
01637
02937
15832
213332
327832
440832
551332
660732
774232
885032
9106432
10128832
11142032
12155932
13166532
14187332
15228532
16314232
17466825
18541125
19761725
0844722
Stop Event
1×iter limit
1×node limit
1×iter limit
1×node limit
Calls
Call 1
Inputs
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))))))
Outputs
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))))))
(/.f64 (log.f64 (+.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (PI.f64) (*.f64 f #s(literal 1/2 binary64))))) (/.f64 #s(literal -1 binary64) (expm1.f64 (*.f64 (PI.f64) (*.f64 f #s(literal -1/2 binary64))))))) (*.f64 (PI.f64) #s(literal -1/4 binary64)))

explain428.0ms (2.2%)

Memory
8.1MiB live, 694.1MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
2490-0-(-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))
41(70768.11694177086)0-(log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))))
10-0-(exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))
10-0-(/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))))
10-0-(exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))
00-0-#s(literal 1 binary64)
00-0-(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))))))
00-0-(/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64)))
00-0-#s(literal 4 binary64)
00-0-(+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))
00-0-(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))))))
00-0-f
00-0-(/.f64 (PI.f64) #s(literal 4 binary64))
00-0-(*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)
00-0-(neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))
00-0-(PI.f64)
Explanations
Click to see full explanations table
OperatorSubexpressionExplanationCount
-.f64(-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))cancellation2490
log.f64(log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))))sensitivity51
exp.f64(exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))sensitivity12
exp.f64(exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))sensitivity12
/.f64(/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))))o/o10
↳(exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))overflow1
↳(+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))overflow1
↳(exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))overflow1
↳(-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))overflow1
Confusion
Predicted +Predicted -
+2530
-12
Precision
0.9960629921259843
Recall
1.0
Confusion?
Predicted +Predicted MaybePredicted -
+25300
-111
Precision?
0.9921568627450981
Recall?
1.0
Freqs
test
numberfreq
02
1252
21
31
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
135.0ms474×1valid
7.0ms36×0valid
2.0ms2×2valid
Compiler

Compiled 472 to 68 computations (85.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 113.0ms
ival-exp: 36.0ms (31.8% of total)
ival-div: 19.0ms (16.8% of total)
ival-mult: 12.0ms (10.6% of total)
adjust: 11.0ms (9.7% of total)
ival-log: 11.0ms (9.7% of total)
ival-neg: 8.0ms (7.1% of total)
ival-add: 6.0ms (5.3% of total)
ival-pi: 5.0ms (4.4% of total)
ival-sub: 5.0ms (4.4% of total)
exact: 1.0ms (0.9% of total)
ival-true: 1.0ms (0.9% of total)
ival-assert: 0.0ms (0% of total)

eval0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated
Compiler

Compiled 1 to 1 computations (0% saved)

prune1.0ms (0%)

Memory
1.4MiB live, 1.4MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶6.9%
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))))))
Compiler

Compiled 38 to 16 computations (57.9% saved)

simplify332.0ms (1.7%)

Memory
-18.1MiB live, 257.3MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
✓cost-diff128
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))))))
✓cost-diff320
(/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64)))
✓cost-diff384
(/.f64 (PI.f64) #s(literal 4 binary64))
✓cost-diff13568
(/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))))
Rules
8 988×lower-fma.f64
8 988×lower-fma.f32
2 264×lower-+.f32
2 262×lower-+.f64
2 004×lower--.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
016196
029196
158177
2133177
3278177
4408177
5513177
6607177
7742177
8850177
91064177
101288177
111420177
121559177
131665177
141873177
152285177
163142177
174668149
185411149
197617149
08447137
Stop Event
1×iter limit
1×node limit
1×iter limit
Calls
Call 1
Inputs
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))))))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64)))
#s(literal 1 binary64)
(/.f64 (PI.f64) #s(literal 4 binary64))
(PI.f64)
#s(literal 4 binary64)
(log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))))
(/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))))
(+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))
(exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))
(*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)
f
(exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))
(neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))
(-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))
Outputs
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))))))
(/.f64 (log.f64 (+.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (PI.f64) (*.f64 f #s(literal 1/2 binary64))))) (/.f64 #s(literal -1 binary64) (expm1.f64 (*.f64 (PI.f64) (*.f64 f #s(literal -1/2 binary64))))))) (*.f64 (PI.f64) #s(literal -1/4 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))))))
(/.f64 (log.f64 (+.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (PI.f64) (*.f64 f #s(literal 1/2 binary64))))) (/.f64 #s(literal -1 binary64) (expm1.f64 (*.f64 (PI.f64) (*.f64 f #s(literal -1/2 binary64))))))) (*.f64 (PI.f64) #s(literal 1/4 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64)))
(/.f64 #s(literal 4 binary64) (PI.f64))
#s(literal 1 binary64)
(/.f64 (PI.f64) #s(literal 4 binary64))
(*.f64 (PI.f64) #s(literal 1/4 binary64))
(PI.f64)
#s(literal 4 binary64)
(log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))))
(log.f64 (+.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (PI.f64) (*.f64 f #s(literal 1/2 binary64))))) (/.f64 #s(literal -1 binary64) (expm1.f64 (*.f64 (PI.f64) (*.f64 f #s(literal -1/2 binary64)))))))
(/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))))
(+.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (PI.f64) (*.f64 f #s(literal 1/2 binary64))))) (/.f64 #s(literal -1 binary64) (expm1.f64 (*.f64 (PI.f64) (*.f64 f #s(literal -1/2 binary64))))))
(+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))
(+.f64 (exp.f64 (*.f64 (PI.f64) (*.f64 f #s(literal 1/4 binary64)))) (exp.f64 (*.f64 (PI.f64) (*.f64 f #s(literal -1/4 binary64)))))
(exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))
(exp.f64 (*.f64 (PI.f64) (*.f64 f #s(literal 1/4 binary64))))
(*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)
(*.f64 (PI.f64) (*.f64 f #s(literal 1/4 binary64)))
f
(exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))
(exp.f64 (*.f64 (PI.f64) (*.f64 f #s(literal -1/4 binary64))))
(neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))
(*.f64 (PI.f64) (*.f64 f #s(literal -1/4 binary64)))
(-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))
(-.f64 (exp.f64 (*.f64 (PI.f64) (*.f64 f #s(literal 1/4 binary64)))) (exp.f64 (*.f64 (PI.f64) (*.f64 f #s(literal -1/4 binary64)))))

localize134.0ms (0.7%)

Memory
-10.5MiB live, 152.3MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
✓accuracy99.3%
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))))))
✓accuracy99.2%
(/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))))
✓accuracy98.5%
(log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))))
✓accuracy10.7%
(-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))
Samples
92.0ms237×1valid
2.0ms18×0valid
1.0ms1×2valid
Compiler

Compiled 198 to 18 computations (90.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 80.0ms
ival-sub: 26.0ms (32.4% of total)
ival-exp: 16.0ms (19.9% of total)
ival-div: 9.0ms (11.2% of total)
ival-neg: 7.0ms (8.7% of total)
ival-mult: 6.0ms (7.5% of total)
adjust: 5.0ms (6.2% of total)
ival-log: 5.0ms (6.2% of total)
ival-add: 4.0ms (5% of total)
ival-pi: 2.0ms (2.5% of total)
ival-assert: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series94.0ms (0.5%)

Memory
27.6MiB live, 142.9MiB allocated
Counts
7 → 60
Calls
Call 1
Inputs
#<alt (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))))>
#<alt (/.f64 (PI.f64) #s(literal 4 binary64))>
#<alt (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64)))>
#<alt (neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))))))>
#<alt (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))>
#<alt (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))))>
#<alt (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))))))>
Outputs
#<alt (/ 2 (* f (- (* 1/4 (PI)) (* -1/4 (PI)))))>
#<alt (/ (+ (* f (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))))) (* 2 (/ 1 (- (* 1/4 (PI)) (* -1/4 (PI)))))) f)>
#<alt (/ (+ (* f (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (+ (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* f (- (* 1/16 (/ (pow (PI) 2) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 2 (/ (- (* 1/384 (pow (PI) 3)) (* -1/384 (pow (PI) 3))) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 2)))))))) (* 2 (/ 1 (- (* 1/4 (PI)) (* -1/4 (PI)))))) f)>
#<alt (/ (+ (* f (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (+ (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* f (- (+ (* 1/16 (/ (pow (PI) 2) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* f (- (+ (* -1/384 (/ (pow (PI) 3) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/384 (/ (pow (PI) 3) (- (* 1/4 (PI)) (* -1/4 (PI)))))) (/ (* (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI)))))) (- (* 1/384 (pow (PI) 3)) (* -1/384 (pow (PI) 3)))) (- (* 1/4 (PI)) (* -1/4 (PI))))))) (* 2 (/ (- (* 1/384 (pow (PI) 3)) (* -1/384 (pow (PI) 3))) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 2)))))))) (* 2 (/ 1 (- (* 1/4 (PI)) (* -1/4 (PI)))))) f)>
#<alt (/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI)))))))>
#<alt (/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI)))))))>
#<alt (/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI)))))))>
#<alt (/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI)))))))>
#<alt (/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI)))))))>
#<alt (/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI)))))))>
#<alt (/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI)))))))>
#<alt (/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI)))))))>
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#<alt (* -4 (/ (log (/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI)))))))) (PI)))>
#<alt (* -4 (/ (log (/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI)))))))) (PI)))>
#<alt (* -4 (/ (log (/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI)))))))) (PI)))>
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#<alt (* -4 (/ (log (/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI)))))))) (PI)))>
#<alt (* -4 (/ (log (/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI)))))))) (PI)))>
#<alt (* -4 (/ (log (/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI)))))))) (PI)))>
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#<alt (* f (- (* 1/4 (PI)) (* -1/4 (PI))))>
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#<alt (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI))))))>
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#<alt (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI))))))>
#<alt (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI))))))>
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#<alt (+ (log (/ 2 (- (* 1/4 (PI)) (* -1/4 (PI))))) (+ (* -1 (log f)) (* f (+ (* 1/2 (* (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI)))))) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* f (+ (* 1/6 (* f (+ (* -3/2 (* (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI)))))) (* (- (* 1/16 (/ (pow (PI) 2) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 2 (/ (- (* 1/384 (pow (PI) 3)) (* -1/384 (pow (PI) 3))) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 2)))) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 2)))) (+ (* 1/4 (* (pow (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI)))))) 3) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 3))) (* 3 (* (- (* 1/4 (PI)) (* -1/4 (PI))) (- (+ (* -1/384 (/ (pow (PI) 3) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/384 (/ (pow (PI) 3) (- (* 1/4 (PI)) (* -1/4 (PI)))))) (/ (* (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI)))))) (- (* 1/384 (pow (PI) 3)) (* -1/384 (pow (PI) 3)))) (- (* 1/4 (PI)) (* -1/4 (PI))))))))))) (* 1/2 (+ (* -1/4 (* (pow (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI)))))) 2) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 2))) (* (- (* 1/16 (/ (pow (PI) 2) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 2 (/ (- (* 1/384 (pow (PI) 3)) (* -1/384 (pow (PI) 3))) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 2)))) (- (* 1/4 (PI)) (* -1/4 (PI))))))))))))>
#<alt (log (/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI))))))))>
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#<alt (* 4 (/ (log (/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI)))))))) (PI)))>
#<alt (* 4 (/ (log (/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI)))))))) (PI)))>
#<alt (* 4 (/ (log (/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI)))))))) (PI)))>
#<alt (* 4 (/ (log (/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI)))))))) (PI)))>
#<alt (* 4 (/ (log (/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI)))))))) (PI)))>
#<alt (* 4 (/ (log (/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI)))))))) (PI)))>
#<alt (* 4 (/ (log (/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI)))))))) (PI)))>
#<alt (* 4 (/ (log (/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI)))))))) (PI)))>
Calls

15 calls:

TimeVariablePointExpression
44.0ms
f
@inf
(neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))))))
39.0ms
f
@-inf
(neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))))))
3.0ms
f
@0
(neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))))))
1.0ms
f
@0
(/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))
1.0ms
f
@-inf
(/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))

rewrite373.0ms (2%)

Memory
0.8MiB live, 491.5MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
5 070×lower-*.f32
5 066×lower-*.f64
3 230×lower-fma.f64
3 230×lower-fma.f32
3 206×lower-/.f32
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
016154
029100
111952
278352
0856152
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
7 → 561
Calls
Call 1
Inputs
(/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))))
(/.f64 (PI.f64) #s(literal 4 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64)))
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))))))
(-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))
(log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))))))
Outputs
(+.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (sinh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (exp.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (*.f64 (/.f64 #s(literal 1/2 binary64) (sinh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (exp.f64 (*.f64 f (*.f64 (PI.f64) #s(literal -1/4 binary64))))))
(+.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (sinh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (exp.f64 (*.f64 f (*.f64 (PI.f64) #s(literal -1/4 binary64))))) (*.f64 (/.f64 #s(literal 1/2 binary64) (sinh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (exp.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))))
(+.f64 (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (-.f64 (exp.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 3/4 binary64))) (exp.f64 (neg.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 3/4 binary64)))))) (exp.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/2 binary64)))) (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (-.f64 (exp.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 3/4 binary64))) (exp.f64 (neg.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 3/4 binary64)))))) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/2 binary64)))))))
(+.f64 (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (-.f64 (exp.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 3/4 binary64))) (exp.f64 (neg.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 3/4 binary64)))))) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/2 binary64)))))) (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (-.f64 (exp.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 3/4 binary64))) (exp.f64 (neg.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 3/4 binary64)))))) (exp.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/2 binary64)))))
(+.f64 (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (-.f64 (exp.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 3/4 binary64))) (exp.f64 (neg.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 3/4 binary64)))))) (+.f64 (exp.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/2 binary64))) (exp.f64 (neg.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/2 binary64)))))) (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (-.f64 (exp.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 3/4 binary64))) (exp.f64 (neg.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 3/4 binary64)))))) #s(literal 1 binary64)))
(+.f64 (*.f64 (exp.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)) (/.f64 #s(literal 1/2 binary64) (sinh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))) (*.f64 (exp.f64 (*.f64 f (*.f64 (PI.f64) #s(literal -1/4 binary64)))) (/.f64 #s(literal 1/2 binary64) (sinh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))))
(+.f64 (*.f64 (exp.f64 (*.f64 f (*.f64 (PI.f64) #s(literal -1/4 binary64)))) (/.f64 #s(literal 1/2 binary64) (sinh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))) (*.f64 (exp.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)) (/.f64 #s(literal 1/2 binary64) (sinh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))))
(+.f64 (*.f64 (exp.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/2 binary64))) (/.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (-.f64 (exp.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 3/4 binary64))) (exp.f64 (neg.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 3/4 binary64))))))) (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/2 binary64))))) (/.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (-.f64 (exp.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 3/4 binary64))) (exp.f64 (neg.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 3/4 binary64))))))))
(+.f64 (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/2 binary64))))) (/.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (-.f64 (exp.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 3/4 binary64))) (exp.f64 (neg.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 3/4 binary64))))))) (*.f64 (exp.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/2 binary64))) (/.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (-.f64 (exp.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 3/4 binary64))) (exp.f64 (neg.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 3/4 binary64))))))))
(+.f64 (*.f64 (+.f64 (exp.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/2 binary64))) (exp.f64 (neg.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/2 binary64))))) (/.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (-.f64 (exp.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 3/4 binary64))) (exp.f64 (neg.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 3/4 binary64))))))) (*.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (-.f64 (exp.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 3/4 binary64))) (exp.f64 (neg.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 3/4 binary64))))))))
(exp.f64 (*.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))))
(-.f64 (/.f64 (/.f64 (exp.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/2 binary64))) (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))) (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))) (/.f64 (/.f64 (exp.f64 (neg.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/2 binary64)))) (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))) (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))))
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 (sinh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)) #s(literal -2 binary64))) (neg.f64 (/.f64 #s(literal 1 binary64) (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))))
(-.f64 (/.f64 (exp.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/2 binary64))) (pow.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) #s(literal 2 binary64))) (/.f64 (exp.f64 (neg.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/2 binary64)))) (pow.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) #s(literal 2 binary64))))
(fma.f64 (exp.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)) (/.f64 #s(literal 1/2 binary64) (sinh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (*.f64 (exp.f64 (*.f64 f (*.f64 (PI.f64) #s(literal -1/4 binary64)))) (/.f64 #s(literal 1/2 binary64) (sinh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))))
(fma.f64 (exp.f64 (*.f64 f (*.f64 (PI.f64) #s(literal -1/4 binary64)))) (/.f64 #s(literal 1/2 binary64) (sinh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (*.f64 (exp.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)) (/.f64 #s(literal 1/2 binary64) (sinh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))))
(fma.f64 (exp.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/2 binary64))) (/.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (-.f64 (exp.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 3/4 binary64))) (exp.f64 (neg.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 3/4 binary64)))))) (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/2 binary64))))) (/.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (-.f64 (exp.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 3/4 binary64))) (exp.f64 (neg.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 3/4 binary64))))))))
(fma.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/2 binary64))))) (/.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (-.f64 (exp.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 3/4 binary64))) (exp.f64 (neg.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 3/4 binary64)))))) (*.f64 (exp.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/2 binary64))) (/.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (-.f64 (exp.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 3/4 binary64))) (exp.f64 (neg.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 3/4 binary64))))))))
(fma.f64 (/.f64 #s(literal 1/2 binary64) (sinh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (exp.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)) (*.f64 (/.f64 #s(literal 1/2 binary64) (sinh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (exp.f64 (*.f64 f (*.f64 (PI.f64) #s(literal -1/4 binary64))))))
(fma.f64 (/.f64 #s(literal 1/2 binary64) (sinh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (exp.f64 (*.f64 f (*.f64 (PI.f64) #s(literal -1/4 binary64)))) (*.f64 (/.f64 #s(literal 1/2 binary64) (sinh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (exp.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))))
(fma.f64 (+.f64 (exp.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/2 binary64))) (exp.f64 (neg.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/2 binary64))))) (/.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (-.f64 (exp.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 3/4 binary64))) (exp.f64 (neg.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 3/4 binary64)))))) (*.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (-.f64 (exp.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 3/4 binary64))) (exp.f64 (neg.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 3/4 binary64))))))))
(fma.f64 (/.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (-.f64 (exp.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 3/4 binary64))) (exp.f64 (neg.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 3/4 binary64)))))) (exp.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/2 binary64))) (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (-.f64 (exp.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 3/4 binary64))) (exp.f64 (neg.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 3/4 binary64)))))) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/2 binary64)))))))
(fma.f64 (/.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (-.f64 (exp.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 3/4 binary64))) (exp.f64 (neg.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 3/4 binary64)))))) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/2 binary64))))) (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (-.f64 (exp.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 3/4 binary64))) (exp.f64 (neg.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 3/4 binary64)))))) (exp.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/2 binary64)))))
(fma.f64 (/.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (-.f64 (exp.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 3/4 binary64))) (exp.f64 (neg.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 3/4 binary64)))))) (+.f64 (exp.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/2 binary64))) (exp.f64 (neg.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/2 binary64))))) (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (-.f64 (exp.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 3/4 binary64))) (exp.f64 (neg.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 3/4 binary64)))))) #s(literal 1 binary64)))
(neg.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))))
(neg.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))))))
(neg.f64 (/.f64 #s(literal -1 binary64) (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))))
(/.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))))
(/.f64 #s(literal 1 binary64) (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (+.f64 (exp.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/2 binary64))) (expm1.f64 (neg.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/2 binary64)))))) (+.f64 (exp.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 3/4 binary64))) (exp.f64 (neg.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 3/4 binary64)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) #s(literal 2 binary64)) (-.f64 (exp.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/2 binary64))) (exp.f64 (neg.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/2 binary64)))))))
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(/.f64 (+.f64 #s(literal 0 binary64) (pow.f64 (/.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (*.f64 (PI.f64) #s(literal -1/4 binary64))) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (-.f64 (pow.f64 (/.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (*.f64 (PI.f64) #s(literal -1/4 binary64))) #s(literal 2 binary64)) #s(literal 0 binary64))))
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(*.f64 #s(literal 4 binary64) (/.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (neg.f64 (PI.f64))))
(*.f64 #s(literal 1 binary64) (/.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (*.f64 (PI.f64) #s(literal -1/4 binary64))))
(*.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (neg.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))))
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(*.f64 (/.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (*.f64 (PI.f64) #s(literal -1/4 binary64))) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (*.f64 (PI.f64) #s(literal 1/4 binary64))))
(*.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (/.f64 #s(literal -4 binary64) (PI.f64)))
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(*.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) (neg.f64 (*.f64 #s(literal 4 binary64) (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))))))
(*.f64 (*.f64 (neg.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))) #s(literal 4 binary64)) (/.f64 #s(literal 1 binary64) (PI.f64)))
(*.f64 (pow.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) #s(literal -1/2 binary64)) (*.f64 (pow.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) #s(literal -1/2 binary64)) (neg.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))))))
(*.f64 (/.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (neg.f64 (PI.f64))) #s(literal 4 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (PI.f64) #s(literal 2/3 binary64))) (/.f64 (neg.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))) (*.f64 (cbrt.f64 (PI.f64)) #s(literal 1/4 binary64))))
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(*.f64 (/.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (PI.f64)) #s(literal -4 binary64))
(*.f64 (/.f64 #s(literal -1 binary64) (PI.f64)) (*.f64 #s(literal 4 binary64) (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))))
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(*.f64 (/.f64 (neg.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))) (pow.f64 (PI.f64) #s(literal 2/3 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 (cbrt.f64 (PI.f64)) #s(literal 1/4 binary64))))
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(*.f64 (*.f64 (neg.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))) (pow.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) #s(literal -1/2 binary64))) (pow.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) #s(literal -1/2 binary64)))

simplify307.0ms (1.6%)

Memory
21.5MiB live, 518.1MiB allocated
Algorithm
1×egg-herbie
Rules
7 296×lower-fma.f64
7 296×lower-fma.f32
3 266×lower-*.f64
3 266×lower-*.f32
1 520×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01901850
15531668
221121484
090531459
Stop Event
1×iter limit
1×node limit
Counts
60 → 60
Calls
Call 1
Inputs
(/ 2 (* f (- (* 1/4 (PI)) (* -1/4 (PI)))))
(/ (+ (* f (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))))) (* 2 (/ 1 (- (* 1/4 (PI)) (* -1/4 (PI)))))) f)
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(log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 f (*.f64 (PI.f64) #s(literal -1/4 binary64)))) (exp.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64))))) (-.f64 (exp.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))) (exp.f64 (*.f64 f (*.f64 (PI.f64) #s(literal -1/4 binary64)))))))
(log (/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI))))))))
(log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 f (*.f64 (PI.f64) #s(literal -1/4 binary64)))) (exp.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64))))) (-.f64 (exp.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))) (exp.f64 (*.f64 f (*.f64 (PI.f64) #s(literal -1/4 binary64)))))))
(log (/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI))))))))
(log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 f (*.f64 (PI.f64) #s(literal -1/4 binary64)))) (exp.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64))))) (-.f64 (exp.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))) (exp.f64 (*.f64 f (*.f64 (PI.f64) #s(literal -1/4 binary64)))))))
(log (/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI))))))))
(log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 f (*.f64 (PI.f64) #s(literal -1/4 binary64)))) (exp.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64))))) (-.f64 (exp.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))) (exp.f64 (*.f64 f (*.f64 (PI.f64) #s(literal -1/4 binary64)))))))
(log (/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI))))))))
(log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 f (*.f64 (PI.f64) #s(literal -1/4 binary64)))) (exp.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64))))) (-.f64 (exp.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))) (exp.f64 (*.f64 f (*.f64 (PI.f64) #s(literal -1/4 binary64)))))))
(log (/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI))))))))
(log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 f (*.f64 (PI.f64) #s(literal -1/4 binary64)))) (exp.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64))))) (-.f64 (exp.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))) (exp.f64 (*.f64 f (*.f64 (PI.f64) #s(literal -1/4 binary64)))))))
(* 4 (/ (+ (log (/ 2 (- (* 1/4 (PI)) (* -1/4 (PI))))) (* -1 (log f))) (PI)))
(*.f64 (-.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (log.f64 f)) (/.f64 #s(literal 4 binary64) (PI.f64)))
(+ (* 2 (/ (* f (* (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI)))))) (- (* 1/4 (PI)) (* -1/4 (PI))))) (PI))) (* 4 (/ (+ (log (/ 2 (- (* 1/4 (PI)) (* -1/4 (PI))))) (* -1 (log f))) (PI))))
(fma.f64 (-.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (log.f64 f)) (/.f64 #s(literal 4 binary64) (PI.f64)) #s(literal 0 binary64))
(+ (* 4 (/ (+ (log (/ 2 (- (* 1/4 (PI)) (* -1/4 (PI))))) (* -1 (log f))) (PI))) (* f (+ (* 2 (/ (* f (+ (* -1/4 (* (pow (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI)))))) 2) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 2))) (* (- (* 1/16 (/ (pow (PI) 2) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 2 (/ (- (* 1/384 (pow (PI) 3)) (* -1/384 (pow (PI) 3))) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 2)))) (- (* 1/4 (PI)) (* -1/4 (PI)))))) (PI))) (* 2 (/ (* (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI)))))) (- (* 1/4 (PI)) (* -1/4 (PI)))) (PI))))))
(fma.f64 #s(literal 2 binary64) (/.f64 (*.f64 f (*.f64 f (*.f64 (PI.f64) (*.f64 (fma.f64 (*.f64 #s(literal 1/192 binary64) (*.f64 #s(literal 2 binary64) (+.f64 (PI.f64) (PI.f64)))) #s(literal -2 binary64) (*.f64 #s(literal 1/16 binary64) (+.f64 (PI.f64) (PI.f64)))) #s(literal 1/2 binary64))))) (PI.f64)) (fma.f64 (-.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (log.f64 f)) (/.f64 #s(literal 4 binary64) (PI.f64)) #s(literal 0 binary64)))
(+ (* 4 (/ (+ (log (/ 2 (- (* 1/4 (PI)) (* -1/4 (PI))))) (* -1 (log f))) (PI))) (* f (+ (* 2 (/ (* (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI)))))) (- (* 1/4 (PI)) (* -1/4 (PI)))) (PI))) (* f (+ (* 2/3 (/ (* f (+ (* -3/2 (* (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI)))))) (* (- (* 1/16 (/ (pow (PI) 2) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 2 (/ (- (* 1/384 (pow (PI) 3)) (* -1/384 (pow (PI) 3))) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 2)))) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 2)))) (+ (* 1/4 (* (pow (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI)))))) 3) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 3))) (* 3 (* (- (* 1/4 (PI)) (* -1/4 (PI))) (- (+ (* -1/384 (/ (pow (PI) 3) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/384 (/ (pow (PI) 3) (- (* 1/4 (PI)) (* -1/4 (PI)))))) (/ (* (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI)))))) (- (* 1/384 (pow (PI) 3)) (* -1/384 (pow (PI) 3)))) (- (* 1/4 (PI)) (* -1/4 (PI)))))))))) (PI))) (* 2 (/ (+ (* -1/4 (* (pow (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI)))))) 2) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 2))) (* (- (* 1/16 (/ (pow (PI) 2) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 2 (/ (- (* 1/384 (pow (PI) 3)) (* -1/384 (pow (PI) 3))) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 2)))) (- (* 1/4 (PI)) (* -1/4 (PI))))) (PI))))))))
(fma.f64 #s(literal 2 binary64) (/.f64 (*.f64 f (*.f64 f (*.f64 (PI.f64) (*.f64 (fma.f64 (*.f64 #s(literal 1/192 binary64) (*.f64 #s(literal 2 binary64) (+.f64 (PI.f64) (PI.f64)))) #s(literal -2 binary64) (*.f64 #s(literal 1/16 binary64) (+.f64 (PI.f64) (PI.f64)))) #s(literal 1/2 binary64))))) (PI.f64)) (fma.f64 (-.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (log.f64 f)) (/.f64 #s(literal 4 binary64) (PI.f64)) #s(literal 0 binary64)))
(* 4 (/ (log (/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI)))))))) (PI)))
(*.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 f (*.f64 (PI.f64) #s(literal -1/4 binary64)))) (exp.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64))))) (-.f64 (exp.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))) (exp.f64 (*.f64 f (*.f64 (PI.f64) #s(literal -1/4 binary64))))))) (/.f64 #s(literal 4 binary64) (PI.f64)))
(* 4 (/ (log (/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI)))))))) (PI)))
(*.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 f (*.f64 (PI.f64) #s(literal -1/4 binary64)))) (exp.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64))))) (-.f64 (exp.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))) (exp.f64 (*.f64 f (*.f64 (PI.f64) #s(literal -1/4 binary64))))))) (/.f64 #s(literal 4 binary64) (PI.f64)))
(* 4 (/ (log (/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI)))))))) (PI)))
(*.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 f (*.f64 (PI.f64) #s(literal -1/4 binary64)))) (exp.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64))))) (-.f64 (exp.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))) (exp.f64 (*.f64 f (*.f64 (PI.f64) #s(literal -1/4 binary64))))))) (/.f64 #s(literal 4 binary64) (PI.f64)))
(* 4 (/ (log (/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI)))))))) (PI)))
(*.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 f (*.f64 (PI.f64) #s(literal -1/4 binary64)))) (exp.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64))))) (-.f64 (exp.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))) (exp.f64 (*.f64 f (*.f64 (PI.f64) #s(literal -1/4 binary64))))))) (/.f64 #s(literal 4 binary64) (PI.f64)))
(* 4 (/ (log (/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI)))))))) (PI)))
(*.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 f (*.f64 (PI.f64) #s(literal -1/4 binary64)))) (exp.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64))))) (-.f64 (exp.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))) (exp.f64 (*.f64 f (*.f64 (PI.f64) #s(literal -1/4 binary64))))))) (/.f64 #s(literal 4 binary64) (PI.f64)))
(* 4 (/ (log (/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI)))))))) (PI)))
(*.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 f (*.f64 (PI.f64) #s(literal -1/4 binary64)))) (exp.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64))))) (-.f64 (exp.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))) (exp.f64 (*.f64 f (*.f64 (PI.f64) #s(literal -1/4 binary64))))))) (/.f64 #s(literal 4 binary64) (PI.f64)))
(* 4 (/ (log (/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI)))))))) (PI)))
(*.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 f (*.f64 (PI.f64) #s(literal -1/4 binary64)))) (exp.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64))))) (-.f64 (exp.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))) (exp.f64 (*.f64 f (*.f64 (PI.f64) #s(literal -1/4 binary64))))))) (/.f64 #s(literal 4 binary64) (PI.f64)))
(* 4 (/ (log (/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI)))))))) (PI)))
(*.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 f (*.f64 (PI.f64) #s(literal -1/4 binary64)))) (exp.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64))))) (-.f64 (exp.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))) (exp.f64 (*.f64 f (*.f64 (PI.f64) #s(literal -1/4 binary64))))))) (/.f64 #s(literal 4 binary64) (PI.f64)))

eval139.0ms (0.7%)

Memory
7.8MiB live, 354.0MiB allocated
Compiler

Compiled 32 166 to 3 625 computations (88.7% saved)

prune117.0ms (0.6%)

Memory
4.9MiB live, 359.2MiB allocated
Pruning

22 alts after pruning (22 fresh and 0 done)

PrunedKeptTotal
New76322785
Fresh000
Picked101
Done000
Total76422786
Accuracy
98.6%
Counts
786 → 22
Alt Table
Click to see full alt table
StatusAccuracyProgram
97.2%
(fma.f64 (/.f64 #s(literal -4 binary64) (PI.f64)) (log.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))) (*.f64 (/.f64 #s(literal -4 binary64) (PI.f64)) (neg.f64 (log.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))))))
▶97.0%
(fma.f64 f (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 f (*.f64 (PI.f64) (*.f64 (fma.f64 (*.f64 #s(literal 1/192 binary64) (*.f64 #s(literal 2 binary64) (+.f64 (PI.f64) (PI.f64)))) #s(literal -2 binary64) (*.f64 #s(literal 1/16 binary64) (+.f64 (PI.f64) (PI.f64)))) #s(literal 1/2 binary64))))) (PI.f64)) (*.f64 (-.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (log.f64 f)) (/.f64 #s(literal -4 binary64) (PI.f64))))
97.2%
(/.f64 (neg.f64 (pow.f64 (/.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (*.f64 (PI.f64) #s(literal -1/4 binary64))) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (*.f64 (PI.f64) #s(literal -1/4 binary64))) #s(literal 2 binary64)) #s(literal 0 binary64)))
97.9%
(/.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (*.f64 (PI.f64) #s(literal 1/4 binary64)))
▶97.8%
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))))
▶97.9%
(*.f64 (pow.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) #s(literal -1/2 binary64)) (*.f64 (pow.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) #s(literal -1/2 binary64)) (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))))
97.8%
(*.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))))
96.7%
(*.f64 (-.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (log.f64 f)) (/.f64 #s(literal -4 binary64) (PI.f64)))
97.0%
(*.f64 (neg.f64 (pow.f64 (/.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (*.f64 (PI.f64) #s(literal -1/4 binary64))) #s(literal 2 binary64))) (/.f64 (*.f64 (PI.f64) #s(literal -1/4 binary64)) (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))))
97.2%
(neg.f64 (/.f64 (*.f64 (-.f64 (pow.f64 (log.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))) #s(literal 3 binary64)) (pow.f64 (log.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))) #s(literal 3 binary64))) #s(literal 4 binary64)) (*.f64 (+.f64 (pow.f64 (log.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))) #s(literal 2 binary64)) (*.f64 (log.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))) (+.f64 (log.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))) (log.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))))))) (PI.f64))))
97.7%
(neg.f64 (/.f64 (*.f64 (neg.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))) (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (PI.f64))))
97.8%
(neg.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/4 binary64) (/.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (neg.f64 (PI.f64))))))
97.7%
(neg.f64 (*.f64 (/.f64 (neg.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))) (sqrt.f64 (PI.f64))) (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64)))))
97.8%
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))))))))
97.5%
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (-.f64 (log.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))) (log.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))))))
▶97.5%
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (+.f64 (log.f64 #s(literal 2 binary64)) (-.f64 (log.f64 (cosh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (log.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))))))))
96.9%
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (fma.f64 f (*.f64 f (fma.f64 (*.f64 #s(literal 1/192 binary64) (*.f64 #s(literal 2 binary64) (+.f64 (PI.f64) (PI.f64)))) #s(literal -2 binary64) (*.f64 #s(literal 1/16 binary64) (+.f64 (PI.f64) (PI.f64))))) (/.f64 #s(literal 4 binary64) (PI.f64))) f))))
6.8%
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (fma.f64 (exp.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) (*.f64 f #s(literal 1/2 binary64)))) (exp.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) (*.f64 f #s(literal 1/2 binary64)))) (neg.f64 (exp.f64 (*.f64 f (*.f64 (PI.f64) #s(literal -1/4 binary64))))))))))
97.5%
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (sinh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))))))))
▶96.6%
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 #s(literal 2 binary64) (*.f64 f (*.f64 (PI.f64) #s(literal 1/2 binary64)))))))
97.4%
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))) (sinh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))))))
4.4%
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (*.f64 (-.f64 (exp.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/2 binary64))) (exp.f64 (neg.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/2 binary64))))) (*.f64 (/.f64 #s(literal 1/2 binary64) (sinh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (/.f64 #s(literal 1/2 binary64) (sinh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))))))))
Compiler

Compiled 1 182 to 748 computations (36.7% saved)

simplify400.0ms (2.1%)

Memory
1.0MiB live, 687.0MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(/.f64 (PI.f64) #s(literal 4 binary64))
✓cost-diff0
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (+.f64 (log.f64 #s(literal 2 binary64)) (-.f64 (log.f64 (cosh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (log.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))))))
✓cost-diff128
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (+.f64 (log.f64 #s(literal 2 binary64)) (-.f64 (log.f64 (cosh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (log.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))))))))
✓cost-diff704
(/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64)))
✓cost-diff320
(*.f64 (fma.f64 (*.f64 #s(literal 1/192 binary64) (*.f64 #s(literal 2 binary64) (+.f64 (PI.f64) (PI.f64)))) #s(literal -2 binary64) (*.f64 #s(literal 1/16 binary64) (+.f64 (PI.f64) (PI.f64)))) #s(literal 1/2 binary64))
✓cost-diff320
(*.f64 #s(literal -2 binary64) (*.f64 f (*.f64 (PI.f64) (*.f64 (fma.f64 (*.f64 #s(literal 1/192 binary64) (*.f64 #s(literal 2 binary64) (+.f64 (PI.f64) (PI.f64)))) #s(literal -2 binary64) (*.f64 #s(literal 1/16 binary64) (+.f64 (PI.f64) (PI.f64)))) #s(literal 1/2 binary64)))))
✓cost-diff704
(fma.f64 (*.f64 #s(literal 1/192 binary64) (*.f64 #s(literal 2 binary64) (+.f64 (PI.f64) (PI.f64)))) #s(literal -2 binary64) (*.f64 #s(literal 1/16 binary64) (+.f64 (PI.f64) (PI.f64))))
✓cost-diff1024
(/.f64 (*.f64 #s(literal -2 binary64) (*.f64 f (*.f64 (PI.f64) (*.f64 (fma.f64 (*.f64 #s(literal 1/192 binary64) (*.f64 #s(literal 2 binary64) (+.f64 (PI.f64) (PI.f64)))) #s(literal -2 binary64) (*.f64 #s(literal 1/16 binary64) (+.f64 (PI.f64) (PI.f64)))) #s(literal 1/2 binary64))))) (PI.f64))
✓cost-diff0
(PI.f64)
✓cost-diff0
(*.f64 (PI.f64) #s(literal 1/4 binary64))
✓cost-diff0
(/.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))))
✓cost-diff704
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))))
✓cost-diff128
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 #s(literal 2 binary64) (*.f64 f (*.f64 (PI.f64) #s(literal 1/2 binary64)))))))
✓cost-diff256
(log.f64 (/.f64 #s(literal 2 binary64) (*.f64 f (*.f64 (PI.f64) #s(literal 1/2 binary64)))))
✓cost-diff320
(/.f64 #s(literal 2 binary64) (*.f64 f (*.f64 (PI.f64) #s(literal 1/2 binary64))))
✓cost-diff704
(/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64)))
✓cost-diff0
(PI.f64)
✓cost-diff0
(*.f64 (PI.f64) #s(literal 1/4 binary64))
✓cost-diff0
(pow.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) #s(literal -1/2 binary64))
✓cost-diff13184
(*.f64 (pow.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) #s(literal -1/2 binary64)) (*.f64 (pow.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) #s(literal -1/2 binary64)) (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))))
Rules
11 738×lower-fma.f32
11 734×lower-fma.f64
4 466×lower-*.f32
4 432×lower-*.f64
2 378×lower-/.f32
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
056537
0103529
1212469
2592428
32143405
44191394
08222394
Stop Event
1×iter limit
1×node limit
1×iter limit
Calls
Call 1
Inputs
(*.f64 (pow.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) #s(literal -1/2 binary64)) (*.f64 (pow.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) #s(literal -1/2 binary64)) (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))))
(pow.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) #s(literal -1/2 binary64))
(*.f64 (PI.f64) #s(literal 1/4 binary64))
(PI.f64)
#s(literal 1/4 binary64)
#s(literal -1/2 binary64)
(*.f64 (pow.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) #s(literal -1/2 binary64)) (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))))
(log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))
(tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))
(*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)
f
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 #s(literal 2 binary64) (*.f64 f (*.f64 (PI.f64) #s(literal 1/2 binary64)))))))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 #s(literal 2 binary64) (*.f64 f (*.f64 (PI.f64) #s(literal 1/2 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64)))
#s(literal 1 binary64)
(/.f64 (PI.f64) #s(literal 4 binary64))
(PI.f64)
#s(literal 4 binary64)
(log.f64 (/.f64 #s(literal 2 binary64) (*.f64 f (*.f64 (PI.f64) #s(literal 1/2 binary64)))))
(/.f64 #s(literal 2 binary64) (*.f64 f (*.f64 (PI.f64) #s(literal 1/2 binary64))))
#s(literal 2 binary64)
(*.f64 f (*.f64 (PI.f64) #s(literal 1/2 binary64)))
f
(*.f64 (PI.f64) #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))))
#s(literal 1 binary64)
(/.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))))
(*.f64 (PI.f64) #s(literal 1/4 binary64))
(PI.f64)
#s(literal 1/4 binary64)
(log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))
(tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))
(*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)
f
(fma.f64 f (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 f (*.f64 (PI.f64) (*.f64 (fma.f64 (*.f64 #s(literal 1/192 binary64) (*.f64 #s(literal 2 binary64) (+.f64 (PI.f64) (PI.f64)))) #s(literal -2 binary64) (*.f64 #s(literal 1/16 binary64) (+.f64 (PI.f64) (PI.f64)))) #s(literal 1/2 binary64))))) (PI.f64)) (*.f64 (-.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (log.f64 f)) (/.f64 #s(literal -4 binary64) (PI.f64))))
f
(/.f64 (*.f64 #s(literal -2 binary64) (*.f64 f (*.f64 (PI.f64) (*.f64 (fma.f64 (*.f64 #s(literal 1/192 binary64) (*.f64 #s(literal 2 binary64) (+.f64 (PI.f64) (PI.f64)))) #s(literal -2 binary64) (*.f64 #s(literal 1/16 binary64) (+.f64 (PI.f64) (PI.f64)))) #s(literal 1/2 binary64))))) (PI.f64))
(*.f64 #s(literal -2 binary64) (*.f64 f (*.f64 (PI.f64) (*.f64 (fma.f64 (*.f64 #s(literal 1/192 binary64) (*.f64 #s(literal 2 binary64) (+.f64 (PI.f64) (PI.f64)))) #s(literal -2 binary64) (*.f64 #s(literal 1/16 binary64) (+.f64 (PI.f64) (PI.f64)))) #s(literal 1/2 binary64)))))
#s(literal -2 binary64)
(*.f64 f (*.f64 (PI.f64) (*.f64 (fma.f64 (*.f64 #s(literal 1/192 binary64) (*.f64 #s(literal 2 binary64) (+.f64 (PI.f64) (PI.f64)))) #s(literal -2 binary64) (*.f64 #s(literal 1/16 binary64) (+.f64 (PI.f64) (PI.f64)))) #s(literal 1/2 binary64))))
(*.f64 (PI.f64) (*.f64 (fma.f64 (*.f64 #s(literal 1/192 binary64) (*.f64 #s(literal 2 binary64) (+.f64 (PI.f64) (PI.f64)))) #s(literal -2 binary64) (*.f64 #s(literal 1/16 binary64) (+.f64 (PI.f64) (PI.f64)))) #s(literal 1/2 binary64)))
(PI.f64)
(*.f64 (fma.f64 (*.f64 #s(literal 1/192 binary64) (*.f64 #s(literal 2 binary64) (+.f64 (PI.f64) (PI.f64)))) #s(literal -2 binary64) (*.f64 #s(literal 1/16 binary64) (+.f64 (PI.f64) (PI.f64)))) #s(literal 1/2 binary64))
(fma.f64 (*.f64 #s(literal 1/192 binary64) (*.f64 #s(literal 2 binary64) (+.f64 (PI.f64) (PI.f64)))) #s(literal -2 binary64) (*.f64 #s(literal 1/16 binary64) (+.f64 (PI.f64) (PI.f64))))
(*.f64 #s(literal 1/192 binary64) (*.f64 #s(literal 2 binary64) (+.f64 (PI.f64) (PI.f64))))
#s(literal 1/192 binary64)
(*.f64 #s(literal 2 binary64) (+.f64 (PI.f64) (PI.f64)))
#s(literal 2 binary64)
(+.f64 (PI.f64) (PI.f64))
(*.f64 #s(literal 1/16 binary64) (+.f64 (PI.f64) (PI.f64)))
#s(literal 1/16 binary64)
#s(literal 1/2 binary64)
(*.f64 (-.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (log.f64 f)) (/.f64 #s(literal -4 binary64) (PI.f64)))
(-.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (log.f64 f))
(log.f64 (/.f64 #s(literal 4 binary64) (PI.f64)))
(/.f64 #s(literal 4 binary64) (PI.f64))
#s(literal 4 binary64)
(log.f64 f)
(/.f64 #s(literal -4 binary64) (PI.f64))
#s(literal -4 binary64)
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (+.f64 (log.f64 #s(literal 2 binary64)) (-.f64 (log.f64 (cosh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (log.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))))))))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (+.f64 (log.f64 #s(literal 2 binary64)) (-.f64 (log.f64 (cosh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (log.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64)))
#s(literal 1 binary64)
(/.f64 (PI.f64) #s(literal 4 binary64))
(PI.f64)
#s(literal 4 binary64)
(+.f64 (log.f64 #s(literal 2 binary64)) (-.f64 (log.f64 (cosh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (log.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))))))
(log.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
(-.f64 (log.f64 (cosh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (log.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))))
(log.f64 (cosh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))
(cosh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))
(*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)
(*.f64 (PI.f64) #s(literal 1/4 binary64))
#s(literal 1/4 binary64)
f
(log.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))))
(*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))
(sinh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))
Outputs
(*.f64 (pow.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) #s(literal -1/2 binary64)) (*.f64 (pow.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) #s(literal -1/2 binary64)) (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))))
(/.f64 (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))) (*.f64 (PI.f64) #s(literal 1/4 binary64)))
(pow.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) #s(literal -1/2 binary64))
(*.f64 (PI.f64) #s(literal 1/4 binary64))
(PI.f64)
#s(literal 1/4 binary64)
#s(literal -1/2 binary64)
(*.f64 (pow.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) #s(literal -1/2 binary64)) (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))))
(*.f64 (pow.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) #s(literal -1/2 binary64)) (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))))
(log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))
(log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))))
(tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))
(tanh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))
(*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)
(*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))
f
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 #s(literal 2 binary64) (*.f64 f (*.f64 (PI.f64) #s(literal 1/2 binary64)))))))
(/.f64 (neg.f64 (log.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))) (*.f64 (PI.f64) #s(literal -1/4 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 #s(literal 2 binary64) (*.f64 f (*.f64 (PI.f64) #s(literal 1/2 binary64))))))
(/.f64 (neg.f64 (log.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))) (*.f64 (PI.f64) #s(literal 1/4 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64)))
(/.f64 #s(literal 4 binary64) (PI.f64))
#s(literal 1 binary64)
(/.f64 (PI.f64) #s(literal 4 binary64))
(PI.f64)
#s(literal 4 binary64)
(log.f64 (/.f64 #s(literal 2 binary64) (*.f64 f (*.f64 (PI.f64) #s(literal 1/2 binary64)))))
(neg.f64 (log.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))))
(/.f64 #s(literal 2 binary64) (*.f64 f (*.f64 (PI.f64) #s(literal 1/2 binary64))))
(/.f64 #s(literal 4 binary64) (*.f64 (PI.f64) f))
#s(literal 2 binary64)
(*.f64 f (*.f64 (PI.f64) #s(literal 1/2 binary64)))
(*.f64 (PI.f64) (*.f64 f #s(literal 1/2 binary64)))
f
(*.f64 (PI.f64) #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))))
(/.f64 (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))) (*.f64 (PI.f64) #s(literal 1/4 binary64)))
#s(literal 1 binary64)
(/.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))))
(/.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))))
(*.f64 (PI.f64) #s(literal 1/4 binary64))
(PI.f64)
#s(literal 1/4 binary64)
(log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))
(log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))))
(tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))
(tanh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))
(*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)
(*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))
f
(fma.f64 f (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 f (*.f64 (PI.f64) (*.f64 (fma.f64 (*.f64 #s(literal 1/192 binary64) (*.f64 #s(literal 2 binary64) (+.f64 (PI.f64) (PI.f64)))) #s(literal -2 binary64) (*.f64 #s(literal 1/16 binary64) (+.f64 (PI.f64) (PI.f64)))) #s(literal 1/2 binary64))))) (PI.f64)) (*.f64 (-.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (log.f64 f)) (/.f64 #s(literal -4 binary64) (PI.f64))))
(fma.f64 f (*.f64 f (*.f64 (PI.f64) #s(literal -1/12 binary64))) (neg.f64 (*.f64 (+.f64 (log.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64))) (log.f64 f)) (/.f64 #s(literal -4 binary64) (PI.f64)))))
f
(/.f64 (*.f64 #s(literal -2 binary64) (*.f64 f (*.f64 (PI.f64) (*.f64 (fma.f64 (*.f64 #s(literal 1/192 binary64) (*.f64 #s(literal 2 binary64) (+.f64 (PI.f64) (PI.f64)))) #s(literal -2 binary64) (*.f64 #s(literal 1/16 binary64) (+.f64 (PI.f64) (PI.f64)))) #s(literal 1/2 binary64))))) (PI.f64))
(*.f64 f (*.f64 (PI.f64) #s(literal -1/12 binary64)))
(*.f64 #s(literal -2 binary64) (*.f64 f (*.f64 (PI.f64) (*.f64 (fma.f64 (*.f64 #s(literal 1/192 binary64) (*.f64 #s(literal 2 binary64) (+.f64 (PI.f64) (PI.f64)))) #s(literal -2 binary64) (*.f64 #s(literal 1/16 binary64) (+.f64 (PI.f64) (PI.f64)))) #s(literal 1/2 binary64)))))
(*.f64 (*.f64 (PI.f64) f) (*.f64 (PI.f64) #s(literal -1/12 binary64)))
#s(literal -2 binary64)
(*.f64 f (*.f64 (PI.f64) (*.f64 (fma.f64 (*.f64 #s(literal 1/192 binary64) (*.f64 #s(literal 2 binary64) (+.f64 (PI.f64) (PI.f64)))) #s(literal -2 binary64) (*.f64 #s(literal 1/16 binary64) (+.f64 (PI.f64) (PI.f64)))) #s(literal 1/2 binary64))))
(*.f64 f (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/24 binary64))))
(*.f64 (PI.f64) (*.f64 (fma.f64 (*.f64 #s(literal 1/192 binary64) (*.f64 #s(literal 2 binary64) (+.f64 (PI.f64) (PI.f64)))) #s(literal -2 binary64) (*.f64 #s(literal 1/16 binary64) (+.f64 (PI.f64) (PI.f64)))) #s(literal 1/2 binary64)))
(*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/24 binary64)))
(PI.f64)
(*.f64 (fma.f64 (*.f64 #s(literal 1/192 binary64) (*.f64 #s(literal 2 binary64) (+.f64 (PI.f64) (PI.f64)))) #s(literal -2 binary64) (*.f64 #s(literal 1/16 binary64) (+.f64 (PI.f64) (PI.f64)))) #s(literal 1/2 binary64))
(*.f64 (PI.f64) #s(literal 1/24 binary64))
(fma.f64 (*.f64 #s(literal 1/192 binary64) (*.f64 #s(literal 2 binary64) (+.f64 (PI.f64) (PI.f64)))) #s(literal -2 binary64) (*.f64 #s(literal 1/16 binary64) (+.f64 (PI.f64) (PI.f64))))
(*.f64 (PI.f64) #s(literal 1/12 binary64))
(*.f64 #s(literal 1/192 binary64) (*.f64 #s(literal 2 binary64) (+.f64 (PI.f64) (PI.f64))))
(*.f64 (PI.f64) #s(literal 1/48 binary64))
#s(literal 1/192 binary64)
(*.f64 #s(literal 2 binary64) (+.f64 (PI.f64) (PI.f64)))
(*.f64 (PI.f64) #s(literal 4 binary64))
#s(literal 2 binary64)
(+.f64 (PI.f64) (PI.f64))
(*.f64 #s(literal 1/16 binary64) (+.f64 (PI.f64) (PI.f64)))
(*.f64 (PI.f64) #s(literal 1/8 binary64))
#s(literal 1/16 binary64)
#s(literal 1/2 binary64)
(*.f64 (-.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (log.f64 f)) (/.f64 #s(literal -4 binary64) (PI.f64)))
(neg.f64 (*.f64 (+.f64 (log.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64))) (log.f64 f)) (/.f64 #s(literal -4 binary64) (PI.f64))))
(-.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (log.f64 f))
(-.f64 (neg.f64 (log.f64 f)) (log.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64))))
(log.f64 (/.f64 #s(literal 4 binary64) (PI.f64)))
(neg.f64 (log.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64))))
(/.f64 #s(literal 4 binary64) (PI.f64))
#s(literal 4 binary64)
(log.f64 f)
(/.f64 #s(literal -4 binary64) (PI.f64))
#s(literal -4 binary64)
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (+.f64 (log.f64 #s(literal 2 binary64)) (-.f64 (log.f64 (cosh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (log.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))))))))
(/.f64 (+.f64 (log.f64 #s(literal 2 binary64)) (-.f64 (log.f64 (cosh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))) (log.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))))))) (*.f64 (PI.f64) #s(literal -1/4 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (+.f64 (log.f64 #s(literal 2 binary64)) (-.f64 (log.f64 (cosh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (log.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))))))
(/.f64 (+.f64 (log.f64 #s(literal 2 binary64)) (-.f64 (log.f64 (cosh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))) (log.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))))))) (*.f64 (PI.f64) #s(literal 1/4 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64)))
(/.f64 #s(literal 4 binary64) (PI.f64))
#s(literal 1 binary64)
(/.f64 (PI.f64) #s(literal 4 binary64))
(PI.f64)
#s(literal 4 binary64)
(+.f64 (log.f64 #s(literal 2 binary64)) (-.f64 (log.f64 (cosh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (log.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))))))
(+.f64 (log.f64 #s(literal 2 binary64)) (-.f64 (log.f64 (cosh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))) (log.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))))))
(log.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
(-.f64 (log.f64 (cosh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (log.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))))
(-.f64 (log.f64 (cosh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))) (log.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))))))
(log.f64 (cosh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))
(log.f64 (cosh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))))
(cosh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))
(cosh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))
(*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)
(*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))
(*.f64 (PI.f64) #s(literal 1/4 binary64))
#s(literal 1/4 binary64)
f
(log.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))))
(log.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))))
(*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))
(*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))))
(sinh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))
(sinh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))

localize856.0ms (4.5%)

Memory
-24.1MiB live, 762.2MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
✓accuracy99.6%
(*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)
✓accuracy99.3%
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (+.f64 (log.f64 #s(literal 2 binary64)) (-.f64 (log.f64 (cosh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (log.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))))))
✓accuracy98.1%
(+.f64 (log.f64 #s(literal 2 binary64)) (-.f64 (log.f64 (cosh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (log.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))))))
✓accuracy60.9%
(log.f64 (cosh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))
✓accuracy98.4%
(fma.f64 (*.f64 #s(literal 1/192 binary64) (*.f64 #s(literal 2 binary64) (+.f64 (PI.f64) (PI.f64)))) #s(literal -2 binary64) (*.f64 #s(literal 1/16 binary64) (+.f64 (PI.f64) (PI.f64))))
✓accuracy98.4%
(*.f64 (PI.f64) (*.f64 (fma.f64 (*.f64 #s(literal 1/192 binary64) (*.f64 #s(literal 2 binary64) (+.f64 (PI.f64) (PI.f64)))) #s(literal -2 binary64) (*.f64 #s(literal 1/16 binary64) (+.f64 (PI.f64) (PI.f64)))) #s(literal 1/2 binary64)))
✓accuracy98.4%
(*.f64 #s(literal 1/192 binary64) (*.f64 #s(literal 2 binary64) (+.f64 (PI.f64) (PI.f64))))
✓accuracy96.9%
(log.f64 (/.f64 #s(literal 4 binary64) (PI.f64)))
✓accuracy99.6%
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))))
✓accuracy99.6%
(*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)
✓accuracy99.5%
(/.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))))
✓accuracy98.5%
(log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))
✓accuracy99.6%
(PI.f64)
✓accuracy99.6%
(/.f64 #s(literal 2 binary64) (*.f64 f (*.f64 (PI.f64) #s(literal 1/2 binary64))))
✓accuracy99.6%
(*.f64 f (*.f64 (PI.f64) #s(literal 1/2 binary64)))
✓accuracy99.3%
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 #s(literal 2 binary64) (*.f64 f (*.f64 (PI.f64) #s(literal 1/2 binary64))))))
✓accuracy99.6%
(*.f64 (pow.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) #s(literal -1/2 binary64)) (*.f64 (pow.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) #s(literal -1/2 binary64)) (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))))
✓accuracy99.6%
(*.f64 (pow.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) #s(literal -1/2 binary64)) (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))))
✓accuracy99.6%
(*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)
✓accuracy98.5%
(log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))
Samples
502.0ms174×2valid
98.0ms77×1valid
12.0ms1×5exit
2.0ms4×0valid
Compiler

Compiled 539 to 60 computations (88.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 481.0ms
ival-log: 284.0ms (59.1% of total)
ival-mult: 67.0ms (13.9% of total)
ival-div: 32.0ms (6.7% of total)
adjust: 29.0ms (6% of total)
ival-pow: 14.0ms (2.9% of total)
ival-add: 14.0ms (2.9% of total)
ival-cosh: 12.0ms (2.5% of total)
ival-sub: 7.0ms (1.5% of total)
ival-neg: 5.0ms (1% of total)
const: 4.0ms (0.8% of total)
ival-sinh: 4.0ms (0.8% of total)
ival-tanh: 4.0ms (0.8% of total)
ival-pi: 3.0ms (0.6% of total)
exact: 1.0ms (0.2% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series460.0ms (2.4%)

Memory
7.9MiB live, 308.9MiB allocated
Counts
27 → 204
Calls
Call 1
Inputs
#<alt (*.f64 (pow.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) #s(literal -1/2 binary64)) (*.f64 (pow.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) #s(literal -1/2 binary64)) (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))))>
#<alt (pow.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) #s(literal -1/2 binary64))>
#<alt (*.f64 (PI.f64) #s(literal 1/4 binary64))>
#<alt (PI.f64)>
#<alt (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64)))>
#<alt (/.f64 #s(literal 2 binary64) (*.f64 f (*.f64 (PI.f64) #s(literal 1/2 binary64))))>
#<alt (log.f64 (/.f64 #s(literal 2 binary64) (*.f64 f (*.f64 (PI.f64) #s(literal 1/2 binary64)))))>
#<alt (neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 #s(literal 2 binary64) (*.f64 f (*.f64 (PI.f64) #s(literal 1/2 binary64)))))))>
#<alt (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))))>
#<alt (/.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))))>
#<alt (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 f (*.f64 (PI.f64) (*.f64 (fma.f64 (*.f64 #s(literal 1/192 binary64) (*.f64 #s(literal 2 binary64) (+.f64 (PI.f64) (PI.f64)))) #s(literal -2 binary64) (*.f64 #s(literal 1/16 binary64) (+.f64 (PI.f64) (PI.f64)))) #s(literal 1/2 binary64))))) (PI.f64))>
#<alt (fma.f64 (*.f64 #s(literal 1/192 binary64) (*.f64 #s(literal 2 binary64) (+.f64 (PI.f64) (PI.f64)))) #s(literal -2 binary64) (*.f64 #s(literal 1/16 binary64) (+.f64 (PI.f64) (PI.f64))))>
#<alt (*.f64 #s(literal -2 binary64) (*.f64 f (*.f64 (PI.f64) (*.f64 (fma.f64 (*.f64 #s(literal 1/192 binary64) (*.f64 #s(literal 2 binary64) (+.f64 (PI.f64) (PI.f64)))) #s(literal -2 binary64) (*.f64 #s(literal 1/16 binary64) (+.f64 (PI.f64) (PI.f64)))) #s(literal 1/2 binary64)))))>
#<alt (*.f64 (fma.f64 (*.f64 #s(literal 1/192 binary64) (*.f64 #s(literal 2 binary64) (+.f64 (PI.f64) (PI.f64)))) #s(literal -2 binary64) (*.f64 #s(literal 1/16 binary64) (+.f64 (PI.f64) (PI.f64)))) #s(literal 1/2 binary64))>
#<alt (neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (+.f64 (log.f64 #s(literal 2 binary64)) (-.f64 (log.f64 (cosh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (log.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))))))))>
#<alt (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (+.f64 (log.f64 #s(literal 2 binary64)) (-.f64 (log.f64 (cosh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (log.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))))))>
#<alt (/.f64 (PI.f64) #s(literal 4 binary64))>
#<alt (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))>
#<alt (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)>
#<alt (*.f64 (pow.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) #s(literal -1/2 binary64)) (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))))>
#<alt (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 #s(literal 2 binary64) (*.f64 f (*.f64 (PI.f64) #s(literal 1/2 binary64))))))>
#<alt (*.f64 f (*.f64 (PI.f64) #s(literal 1/2 binary64)))>
#<alt (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64)))>
#<alt (*.f64 #s(literal 1/192 binary64) (*.f64 #s(literal 2 binary64) (+.f64 (PI.f64) (PI.f64))))>
#<alt (*.f64 (PI.f64) (*.f64 (fma.f64 (*.f64 #s(literal 1/192 binary64) (*.f64 #s(literal 2 binary64) (+.f64 (PI.f64) (PI.f64)))) #s(literal -2 binary64) (*.f64 #s(literal 1/16 binary64) (+.f64 (PI.f64) (PI.f64)))) #s(literal 1/2 binary64)))>
#<alt (log.f64 (cosh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))>
#<alt (+.f64 (log.f64 #s(literal 2 binary64)) (-.f64 (log.f64 (cosh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (log.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))))))>
Outputs
#<alt (* 4 (/ (+ (log f) (log (* 1/4 (PI)))) (PI)))>
#<alt (+ (* 4 (/ (+ (log f) (log (* 1/4 (PI)))) (PI))) (* 8 (/ (* f (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2)))) (pow (PI) 2))))>
#<alt (+ (* 4 (/ (+ (log f) (log (* 1/4 (PI)))) (PI))) (* f (+ (* 2 (/ (* f (+ (* -4 (/ (pow (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) 2) (pow (PI) 2))) (* 8 (/ (- (* 1/2 (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (+ (* -1/128 (pow (PI) 3)) (* 1/192 (pow (PI) 3))))) (* 1/128 (pow (PI) 3))) (PI))))) (PI))) (* 8 (/ (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) (pow (PI) 2))))))>
#<alt (+ (* 4 (/ (+ (log f) (log (* 1/4 (PI)))) (PI))) (* f (+ (* 8 (/ (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) (pow (PI) 2))) (* f (+ (* 2/3 (/ (* f (+ (* -48 (/ (* (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) (- (* 1/2 (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (+ (* -1/128 (pow (PI) 3)) (* 1/192 (pow (PI) 3))))) (* 1/128 (pow (PI) 3)))) (pow (PI) 2))) (+ (* 16 (/ (pow (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) 3) (pow (PI) 3))) (* 24 (/ (- (* 1/2 (+ (* -1/4 (* (PI) (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (+ (* -1/128 (pow (PI) 3)) (* 1/384 (pow (PI) 3)))))) (+ (* -1/32 (* (pow (PI) 2) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (+ (* -1/1536 (pow (PI) 4)) (* 1/3072 (pow (PI) 4)))))) (+ (* -1/8 (* (PI) (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (* -1/128 (pow (PI) 3))))) (* 1/64 (* (pow (PI) 2) (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))))))) (PI)))))) (PI))) (* 2 (/ (+ (* -4 (/ (pow (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) 2) (pow (PI) 2))) (* 8 (/ (- (* 1/2 (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (+ (* -1/128 (pow (PI) 3)) (* 1/192 (pow (PI) 3))))) (* 1/128 (pow (PI) 3))) (PI)))) (PI))))))))>
#<alt (* 4 (/ (log (/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))) (PI)))>
#<alt (* 4 (/ (log (/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))) (PI)))>
#<alt (* 4 (/ (log (/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))) (PI)))>
#<alt (* 4 (/ (log (/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))) (PI)))>
#<alt (* 4 (/ (log (/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))) (PI)))>
#<alt (* 4 (/ (log (/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))) (PI)))>
#<alt (* 4 (/ (log (/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))) (PI)))>
#<alt (* 4 (/ (log (/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))) (PI)))>
#<alt (/ 4 (* f (PI)))>
#<alt (/ 4 (* f (PI)))>
#<alt (/ 4 (* f (PI)))>
#<alt (/ 4 (* f (PI)))>
#<alt (/ 4 (* f (PI)))>
#<alt (/ 4 (* f (PI)))>
#<alt (/ 4 (* f (PI)))>
#<alt (/ 4 (* f (PI)))>
#<alt (/ 4 (* f (PI)))>
#<alt (/ 4 (* f (PI)))>
#<alt (/ 4 (* f (PI)))>
#<alt (/ 4 (* f (PI)))>
#<alt (+ (log (/ 4 (PI))) (* -1 (log f)))>
#<alt (+ (log (/ 4 (PI))) (* -1 (log f)))>
#<alt (+ (log (/ 4 (PI))) (* -1 (log f)))>
#<alt (+ (log (/ 4 (PI))) (* -1 (log f)))>
#<alt (+ (log (/ 1 f)) (log (/ 4 (PI))))>
#<alt (+ (log (/ 1 f)) (log (/ 4 (PI))))>
#<alt (+ (log (/ 1 f)) (log (/ 4 (PI))))>
#<alt (+ (log (/ 1 f)) (log (/ 4 (PI))))>
#<alt (+ (log (/ -4 (PI))) (log (/ -1 f)))>
#<alt (+ (log (/ -4 (PI))) (log (/ -1 f)))>
#<alt (+ (log (/ -4 (PI))) (log (/ -1 f)))>
#<alt (+ (log (/ -4 (PI))) (log (/ -1 f)))>
#<alt (* -4 (/ (+ (log (/ 4 (PI))) (* -1 (log f))) (PI)))>
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#<alt (+ (log f) (+ (log (* 1/4 (PI))) (* f (+ (* 2 (/ (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) (PI))) (* f (+ (* 1/6 (* f (+ (* -48 (/ (* (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) (- (* 1/2 (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (+ (* -1/128 (pow (PI) 3)) (* 1/192 (pow (PI) 3))))) (* 1/128 (pow (PI) 3)))) (pow (PI) 2))) (+ (* 16 (/ (pow (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) 3) (pow (PI) 3))) (* 24 (/ (- (* 1/2 (+ (* -1/4 (* (PI) (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (+ (* -1/128 (pow (PI) 3)) (* 1/384 (pow (PI) 3)))))) (+ (* -1/32 (* (pow (PI) 2) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (+ (* -1/1536 (pow (PI) 4)) (* 1/3072 (pow (PI) 4)))))) (+ (* -1/8 (* (PI) (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (* -1/128 (pow (PI) 3))))) (* 1/64 (* (pow (PI) 2) (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))))))) (PI))))))) (* 1/2 (+ (* -4 (/ (pow (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) 2) (pow (PI) 2))) (* 8 (/ (- (* 1/2 (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (+ (* -1/128 (pow (PI) 3)) (* 1/192 (pow (PI) 3))))) (* 1/128 (pow (PI) 3))) (PI)))))))))))>
#<alt (log (/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI))))))))>
#<alt (log (/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI))))))))>
#<alt (log (/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI))))))))>
#<alt (log (/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI))))))))>
#<alt (log (/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI))))))))>
#<alt (log (/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI))))))))>
#<alt (log (/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI))))))))>
#<alt (log (/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI))))))))>
#<alt (* 1/4 (* f (PI)))>
#<alt (* 1/4 (* f (PI)))>
#<alt (* 1/4 (* f (PI)))>
#<alt (* 1/4 (* f (PI)))>
#<alt (* 1/4 (* f (PI)))>
#<alt (* 1/4 (* f (PI)))>
#<alt (* 1/4 (* f (PI)))>
#<alt (* 1/4 (* f (PI)))>
#<alt (* 1/4 (* f (PI)))>
#<alt (* 1/4 (* f (PI)))>
#<alt (* 1/4 (* f (PI)))>
#<alt (* 1/4 (* f (PI)))>
#<alt (* 2 (* (sqrt (/ 1 (PI))) (+ (log f) (log (* 1/4 (PI))))))>
#<alt (+ (* 2 (* (sqrt (/ 1 (PI))) (+ (log f) (log (* 1/4 (PI)))))) (* 4 (* (* f (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2)))) (sqrt (/ 1 (pow (PI) 3))))))>
#<alt (+ (* 2 (* (sqrt (/ 1 (PI))) (+ (log f) (log (* 1/4 (PI)))))) (* f (+ (* 4 (* (sqrt (/ 1 (pow (PI) 3))) (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))))) (* (* f (+ (* -4 (/ (pow (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) 2) (pow (PI) 2))) (* 8 (/ (- (* 1/2 (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (+ (* -1/128 (pow (PI) 3)) (* 1/192 (pow (PI) 3))))) (* 1/128 (pow (PI) 3))) (PI))))) (sqrt (/ 1 (PI)))))))>
#<alt (+ (* 2 (* (sqrt (/ 1 (PI))) (+ (log f) (log (* 1/4 (PI)))))) (* f (+ (* 4 (* (sqrt (/ 1 (pow (PI) 3))) (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))))) (* f (+ (* 1/3 (* (* f (+ (* -48 (/ (* (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) (- (* 1/2 (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (+ (* -1/128 (pow (PI) 3)) (* 1/192 (pow (PI) 3))))) (* 1/128 (pow (PI) 3)))) (pow (PI) 2))) (+ (* 16 (/ (pow (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) 3) (pow (PI) 3))) (* 24 (/ (- (* 1/2 (+ (* -1/4 (* (PI) (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (+ (* -1/128 (pow (PI) 3)) (* 1/384 (pow (PI) 3)))))) (+ (* -1/32 (* (pow (PI) 2) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (+ (* -1/1536 (pow (PI) 4)) (* 1/3072 (pow (PI) 4)))))) (+ (* -1/8 (* (PI) (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (* -1/128 (pow (PI) 3))))) (* 1/64 (* (pow (PI) 2) (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))))))) (PI)))))) (sqrt (/ 1 (PI))))) (* (sqrt (/ 1 (PI))) (+ (* -4 (/ (pow (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) 2) (pow (PI) 2))) (* 8 (/ (- (* 1/2 (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (+ (* -1/128 (pow (PI) 3)) (* 1/192 (pow (PI) 3))))) (* 1/128 (pow (PI) 3))) (PI))))))))))>
#<alt (* 2 (* (sqrt (/ 1 (PI))) (log (/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI))))))))))>
#<alt (* 2 (* (sqrt (/ 1 (PI))) (log (/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI))))))))))>
#<alt (* 2 (* (sqrt (/ 1 (PI))) (log (/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI))))))))))>
#<alt (* 2 (* (sqrt (/ 1 (PI))) (log (/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI))))))))))>
#<alt (* 2 (* (sqrt (/ 1 (PI))) (log (/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI))))))))))>
#<alt (* 2 (* (sqrt (/ 1 (PI))) (log (/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI))))))))))>
#<alt (* 2 (* (sqrt (/ 1 (PI))) (log (/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI))))))))))>
#<alt (* 2 (* (sqrt (/ 1 (PI))) (log (/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI))))))))))>
#<alt (* 4 (/ (+ (log (/ 4 (PI))) (* -1 (log f))) (PI)))>
#<alt (* 4 (/ (+ (log (/ 4 (PI))) (* -1 (log f))) (PI)))>
#<alt (* 4 (/ (+ (log (/ 4 (PI))) (* -1 (log f))) (PI)))>
#<alt (* 4 (/ (+ (log (/ 4 (PI))) (* -1 (log f))) (PI)))>
#<alt (* 4 (/ (+ (log (/ 1 f)) (log (/ 4 (PI)))) (PI)))>
#<alt (* 4 (/ (+ (log (/ 1 f)) (log (/ 4 (PI)))) (PI)))>
#<alt (* 4 (/ (+ (log (/ 1 f)) (log (/ 4 (PI)))) (PI)))>
#<alt (* 4 (/ (+ (log (/ 1 f)) (log (/ 4 (PI)))) (PI)))>
#<alt (* 4 (/ (+ (log (/ -4 (PI))) (log (/ -1 f))) (PI)))>
#<alt (* 4 (/ (+ (log (/ -4 (PI))) (log (/ -1 f))) (PI)))>
#<alt (* 4 (/ (+ (log (/ -4 (PI))) (log (/ -1 f))) (PI)))>
#<alt (* 4 (/ (+ (log (/ -4 (PI))) (log (/ -1 f))) (PI)))>
#<alt (* 1/2 (* f (PI)))>
#<alt (* 1/2 (* f (PI)))>
#<alt (* 1/2 (* f (PI)))>
#<alt (* 1/2 (* f (PI)))>
#<alt (* 1/2 (* f (PI)))>
#<alt (* 1/2 (* f (PI)))>
#<alt (* 1/2 (* f (PI)))>
#<alt (* 1/2 (* f (PI)))>
#<alt (* 1/2 (* f (PI)))>
#<alt (* 1/2 (* f (PI)))>
#<alt (* 1/2 (* f (PI)))>
#<alt (* 1/2 (* f (PI)))>
#<alt (* 1/32 (* (pow f 2) (pow (PI) 2)))>
#<alt (* (pow f 2) (+ (* -1/2 (* f (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (* -1/128 (pow (PI) 3))))) (* 1/32 (pow (PI) 2))))>
#<alt (* (pow f 2) (+ (* 1/32 (pow (PI) 2)) (* f (+ (* -1/2 (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (* -1/128 (pow (PI) 3)))) (* 1/24 (* f (+ (* -12 (+ (* -1/4 (* (PI) (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (+ (* -1/128 (pow (PI) 3)) (* 1/384 (pow (PI) 3)))))) (+ (* -1/32 (* (pow (PI) 2) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (* -1/1536 (pow (PI) 4))))) (* -3/256 (pow (PI) 4)))))))))>
#<alt (* (pow f 2) (+ (* 1/32 (pow (PI) 2)) (* f (+ (* -1/2 (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (* -1/128 (pow (PI) 3)))) (* f (+ (* 1/120 (* f (+ (* -60 (+ (* -1/4 (* (PI) (+ (* -1/4 (* (PI) (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (+ (* -1/128 (pow (PI) 3)) (* 1/384 (pow (PI) 3)))))) (+ (* -1/32 (* (pow (PI) 2) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (+ (* -1/1536 (pow (PI) 4)) (* 1/6144 (pow (PI) 4))))))) (+ (* -1/32 (* (pow (PI) 2) (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (+ (* -1/128 (pow (PI) 3)) (* 1/384 (pow (PI) 3)))))) (+ (* -1/384 (* (pow (PI) 3) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (* -1/24576 (pow (PI) 5)))))) (* 15/8 (* (pow (PI) 2) (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (* -1/128 (pow (PI) 3)))))))) (* 1/24 (+ (* -12 (+ (* -1/4 (* (PI) (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (+ (* -1/128 (pow (PI) 3)) (* 1/384 (pow (PI) 3)))))) (+ (* -1/32 (* (pow (PI) 2) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (* -1/1536 (pow (PI) 4))))) (* -3/256 (pow (PI) 4))))))))))>
#<alt (log (* 1/2 (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI))))))))>
#<alt (log (* 1/2 (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI))))))))>
#<alt (log (* 1/2 (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI))))))))>
#<alt (log (* 1/2 (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI))))))))>
#<alt (log (* 1/2 (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI))))))))>
#<alt (log (* 1/2 (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI))))))))>
#<alt (log (* 1/2 (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI))))))))>
#<alt (log (* 1/2 (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI))))))))>
#<alt (- (log 2) (+ (log f) (log (* 1/2 (PI)))))>
#<alt (- (+ (log 2) (* -2 (/ (* f (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2)))) (PI)))) (+ (log f) (log (* 1/2 (PI)))))>
#<alt (- (+ (log 2) (* f (- (* f (- (* 1/32 (pow (PI) 2)) (* 1/2 (+ (* -4 (/ (pow (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) 2) (pow (PI) 2))) (* 4 (/ (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (+ (* -1/128 (pow (PI) 3)) (* 1/192 (pow (PI) 3)))) (PI))))))) (* 2 (/ (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) (PI)))))) (+ (log f) (log (* 1/2 (PI)))))>
#<alt (- (+ (log 2) (* f (- (* f (- (+ (* 1/32 (pow (PI) 2)) (* f (- (* -1/2 (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (* -1/128 (pow (PI) 3)))) (* 1/6 (+ (* -24 (/ (* (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (+ (* -1/128 (pow (PI) 3)) (* 1/192 (pow (PI) 3)))) (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2)))) (pow (PI) 2))) (+ (* 12 (/ (+ (* -1/4 (* (PI) (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (+ (* -1/128 (pow (PI) 3)) (* 1/384 (pow (PI) 3)))))) (+ (* -1/32 (* (pow (PI) 2) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (+ (* -1/1536 (pow (PI) 4)) (* 1/3072 (pow (PI) 4))))) (PI))) (* 16 (/ (pow (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) 3) (pow (PI) 3))))))))) (* 1/2 (+ (* -4 (/ (pow (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) 2) (pow (PI) 2))) (* 4 (/ (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (+ (* -1/128 (pow (PI) 3)) (* 1/192 (pow (PI) 3)))) (PI))))))) (* 2 (/ (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) (PI)))))) (+ (log f) (log (* 1/2 (PI)))))>
#<alt (- (+ (log 2) (log (* 1/2 (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI))))))))) (log (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI))))))))>
#<alt (- (+ (log 2) (log (* 1/2 (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI))))))))) (log (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI))))))))>
#<alt (- (+ (log 2) (log (* 1/2 (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI))))))))) (log (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI))))))))>
#<alt (- (+ (log 2) (log (* 1/2 (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI))))))))) (log (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI))))))))>
#<alt (- (+ (log 2) (log (* 1/2 (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI))))))))) (log (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI))))))))>
#<alt (- (+ (log 2) (log (* 1/2 (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI))))))))) (log (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI))))))))>
#<alt (- (+ (log 2) (log (* 1/2 (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI))))))))) (log (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI))))))))>
#<alt (- (+ (log 2) (log (* 1/2 (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI))))))))) (log (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI))))))))>
Calls

51 calls:

TimeVariablePointExpression
177.0ms
f
@inf
(neg (* (/ 1 (/ (PI) 4)) (+ (log 2) (- (log (cosh (* (* (PI) 1/4) f))) (log (* 2 (sinh (* (* (PI) 1/4) f))))))))
78.0ms
f
@-inf
(* (pow (* (PI) 1/4) -1/2) (* (pow (* (PI) 1/4) -1/2) (log (tanh (* (* (PI) 1/4) f)))))
62.0ms
f
@-inf
(neg (* (/ 1 (/ (PI) 4)) (+ (log 2) (- (log (cosh (* (* (PI) 1/4) f))) (log (* 2 (sinh (* (* (PI) 1/4) f))))))))
52.0ms
f
@-inf
(log (/ 2 (* f (* (PI) 1/2))))
32.0ms
f
@inf
(* (pow (* (PI) 1/4) -1/2) (* (pow (* (PI) 1/4) -1/2) (log (tanh (* (* (PI) 1/4) f)))))

rewrite718.0ms (3.8%)

Memory
7.3MiB live, 630.2MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
4 554×lower-*.f32
4 532×lower-*.f64
2 524×lower-fma.f64
2 524×lower-fma.f32
2 280×lower-/.f32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
050319
091296
1317234
22480171
08691171
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
27 → 1 393
Calls
Call 1
Inputs
(*.f64 (pow.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) #s(literal -1/2 binary64)) (*.f64 (pow.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) #s(literal -1/2 binary64)) (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))))
(pow.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) #s(literal -1/2 binary64))
(*.f64 (PI.f64) #s(literal 1/4 binary64))
(PI.f64)
(/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64)))
(/.f64 #s(literal 2 binary64) (*.f64 f (*.f64 (PI.f64) #s(literal 1/2 binary64))))
(log.f64 (/.f64 #s(literal 2 binary64) (*.f64 f (*.f64 (PI.f64) #s(literal 1/2 binary64)))))
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 #s(literal 2 binary64) (*.f64 f (*.f64 (PI.f64) #s(literal 1/2 binary64)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))))
(/.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))))
(/.f64 (*.f64 #s(literal -2 binary64) (*.f64 f (*.f64 (PI.f64) (*.f64 (fma.f64 (*.f64 #s(literal 1/192 binary64) (*.f64 #s(literal 2 binary64) (+.f64 (PI.f64) (PI.f64)))) #s(literal -2 binary64) (*.f64 #s(literal 1/16 binary64) (+.f64 (PI.f64) (PI.f64)))) #s(literal 1/2 binary64))))) (PI.f64))
(fma.f64 (*.f64 #s(literal 1/192 binary64) (*.f64 #s(literal 2 binary64) (+.f64 (PI.f64) (PI.f64)))) #s(literal -2 binary64) (*.f64 #s(literal 1/16 binary64) (+.f64 (PI.f64) (PI.f64))))
(*.f64 #s(literal -2 binary64) (*.f64 f (*.f64 (PI.f64) (*.f64 (fma.f64 (*.f64 #s(literal 1/192 binary64) (*.f64 #s(literal 2 binary64) (+.f64 (PI.f64) (PI.f64)))) #s(literal -2 binary64) (*.f64 #s(literal 1/16 binary64) (+.f64 (PI.f64) (PI.f64)))) #s(literal 1/2 binary64)))))
(*.f64 (fma.f64 (*.f64 #s(literal 1/192 binary64) (*.f64 #s(literal 2 binary64) (+.f64 (PI.f64) (PI.f64)))) #s(literal -2 binary64) (*.f64 #s(literal 1/16 binary64) (+.f64 (PI.f64) (PI.f64)))) #s(literal 1/2 binary64))
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (+.f64 (log.f64 #s(literal 2 binary64)) (-.f64 (log.f64 (cosh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (log.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))))))))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (+.f64 (log.f64 #s(literal 2 binary64)) (-.f64 (log.f64 (cosh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (log.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))))))
(/.f64 (PI.f64) #s(literal 4 binary64))
(log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))
(*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)
(*.f64 (pow.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) #s(literal -1/2 binary64)) (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 #s(literal 2 binary64) (*.f64 f (*.f64 (PI.f64) #s(literal 1/2 binary64))))))
(*.f64 f (*.f64 (PI.f64) #s(literal 1/2 binary64)))
(log.f64 (/.f64 #s(literal 4 binary64) (PI.f64)))
(*.f64 #s(literal 1/192 binary64) (*.f64 #s(literal 2 binary64) (+.f64 (PI.f64) (PI.f64))))
(*.f64 (PI.f64) (*.f64 (fma.f64 (*.f64 #s(literal 1/192 binary64) (*.f64 #s(literal 2 binary64) (+.f64 (PI.f64) (PI.f64)))) #s(literal -2 binary64) (*.f64 #s(literal 1/16 binary64) (+.f64 (PI.f64) (PI.f64)))) #s(literal 1/2 binary64)))
(log.f64 (cosh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))
(+.f64 (log.f64 #s(literal 2 binary64)) (-.f64 (log.f64 (cosh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (log.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))))))
Outputs
(+.f64 #s(literal 0 binary64) (/.f64 (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))) (*.f64 (PI.f64) #s(literal 1/4 binary64))))
(+.f64 (neg.f64 (/.f64 (*.f64 (log.f64 #s(literal 2 binary64)) #s(literal 4 binary64)) (PI.f64))) (neg.f64 (/.f64 (log.f64 (/.f64 (cosh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))) (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))))) (*.f64 (PI.f64) #s(literal 1/4 binary64)))))
(+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 (log.f64 #s(literal 2 binary64)) #s(literal 4 binary64)) (PI.f64))) (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 (cosh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))) (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))))) (*.f64 (PI.f64) #s(literal 1/4 binary64)))))
(+.f64 (*.f64 (/.f64 #s(literal -4 binary64) (PI.f64)) (log.f64 #s(literal 2 binary64))) (*.f64 (/.f64 #s(literal -4 binary64) (PI.f64)) (log.f64 (/.f64 (cosh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))) (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))))))))
(+.f64 (*.f64 (/.f64 #s(literal -4 binary64) (PI.f64)) (log.f64 (/.f64 (cosh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))) (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))))))) (*.f64 (/.f64 #s(literal -4 binary64) (PI.f64)) (log.f64 #s(literal 2 binary64))))
(+.f64 (*.f64 (/.f64 (*.f64 (log.f64 #s(literal 2 binary64)) #s(literal 4 binary64)) (PI.f64)) #s(literal -1 binary64)) (*.f64 (/.f64 (log.f64 (/.f64 (cosh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))) (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))))) (*.f64 (PI.f64) #s(literal 1/4 binary64))) #s(literal -1 binary64)))
(+.f64 (*.f64 (log.f64 #s(literal 2 binary64)) (/.f64 #s(literal -4 binary64) (PI.f64))) (*.f64 (log.f64 (/.f64 (cosh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))) (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))))) (/.f64 #s(literal -4 binary64) (PI.f64))))
(+.f64 (*.f64 (log.f64 (/.f64 (cosh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))) (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))))) (/.f64 #s(literal -4 binary64) (PI.f64))) (*.f64 (log.f64 #s(literal 2 binary64)) (/.f64 #s(literal -4 binary64) (PI.f64))))
(exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))) (*.f64 (PI.f64) #s(literal -1/4 binary64))))
(-.f64 (-.f64 #s(literal 0 binary64) (/.f64 (*.f64 (log.f64 #s(literal 2 binary64)) #s(literal 4 binary64)) (PI.f64))) (/.f64 (log.f64 (/.f64 (cosh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))) (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))))) (*.f64 (PI.f64) #s(literal 1/4 binary64))))
(fma.f64 (log.f64 #s(literal 2 binary64)) (/.f64 #s(literal -4 binary64) (PI.f64)) (*.f64 (log.f64 (/.f64 (cosh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))) (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))))) (/.f64 #s(literal -4 binary64) (PI.f64))))
(fma.f64 (log.f64 (/.f64 (cosh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))) (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))))) (/.f64 #s(literal -4 binary64) (PI.f64)) (*.f64 (log.f64 #s(literal 2 binary64)) (/.f64 #s(literal -4 binary64) (PI.f64))))
(fma.f64 #s(literal -1 binary64) (/.f64 (*.f64 (log.f64 #s(literal 2 binary64)) #s(literal 4 binary64)) (PI.f64)) (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 (cosh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))) (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))))) (*.f64 (PI.f64) #s(literal 1/4 binary64)))))
(fma.f64 (/.f64 #s(literal -4 binary64) (PI.f64)) (log.f64 #s(literal 2 binary64)) (*.f64 (/.f64 #s(literal -4 binary64) (PI.f64)) (log.f64 (/.f64 (cosh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))) (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))))))))
(fma.f64 (/.f64 #s(literal -4 binary64) (PI.f64)) (log.f64 (/.f64 (cosh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))) (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))))) (*.f64 (/.f64 #s(literal -4 binary64) (PI.f64)) (log.f64 #s(literal 2 binary64))))
(fma.f64 (/.f64 (*.f64 (log.f64 #s(literal 2 binary64)) #s(literal 4 binary64)) (PI.f64)) #s(literal -1 binary64) (*.f64 (/.f64 (log.f64 (/.f64 (cosh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))) (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))))) (*.f64 (PI.f64) #s(literal 1/4 binary64))) #s(literal -1 binary64)))
(neg.f64 (/.f64 (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))) (*.f64 (PI.f64) #s(literal -1/4 binary64))))
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))))))
(/.f64 (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))) (*.f64 (PI.f64) #s(literal 1/4 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))))))
(/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (/.f64 #s(literal 1 binary64) (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))))))
(/.f64 (log.f64 (/.f64 (cosh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))) (sinh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))))) (*.f64 (PI.f64) #s(literal -1/4 binary64)))
(/.f64 #s(literal -1 binary64) (/.f64 (*.f64 (PI.f64) #s(literal -1/4 binary64)) (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))))))
(/.f64 (neg.f64 (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))))) (*.f64 (PI.f64) #s(literal -1/4 binary64)))
(/.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) (/.f64 #s(literal 1/4 binary64) (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))))))
(/.f64 (*.f64 #s(literal 4 binary64) (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))))) (PI.f64))
(/.f64 (*.f64 #s(literal -4 binary64) (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))))) (neg.f64 (PI.f64)))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (/.f64 (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))) (*.f64 (PI.f64) #s(literal -1/4 binary64))) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (/.f64 (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))) (*.f64 (PI.f64) #s(literal -1/4 binary64))) #s(literal 2 binary64)) (*.f64 #s(literal 0 binary64) (/.f64 (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))) (*.f64 (PI.f64) #s(literal -1/4 binary64)))))))
(/.f64 (/.f64 (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))) #s(literal 1/4 binary64)) (PI.f64))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (/.f64 (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))) (*.f64 (PI.f64) #s(literal -1/4 binary64))) #s(literal 2 binary64))) (+.f64 #s(literal 0 binary64) (/.f64 (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))) (*.f64 (PI.f64) #s(literal -1/4 binary64)))))
(/.f64 (*.f64 (/.f64 #s(literal -4 binary64) (PI.f64)) (+.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (log.f64 (/.f64 (cosh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))) (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))))) #s(literal 3 binary64)))) (fma.f64 (log.f64 (/.f64 (cosh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))) (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))))) (log.f64 (/.f64 (/.f64 (cosh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))) (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))))) #s(literal 2 binary64))) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))
(/.f64 (*.f64 (/.f64 #s(literal -4 binary64) (PI.f64)) (-.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 (log.f64 (/.f64 (cosh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))) (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))))) #s(literal 2 binary64)))) (log.f64 (/.f64 #s(literal 2 binary64) (/.f64 (cosh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))) (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))))))))
(/.f64 (*.f64 #s(literal 1 binary64) (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))))) (*.f64 (PI.f64) #s(literal 1/4 binary64)))
(/.f64 (/.f64 (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))) (PI.f64)) #s(literal 1/4 binary64))
(pow.f64 (/.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))))) #s(literal -1 binary64))
(pow.f64 (/.f64 (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))) (*.f64 (PI.f64) #s(literal 1/4 binary64))) #s(literal 1 binary64))
(pow.f64 (pow.f64 (/.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))))) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 (/.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))))) (/.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))))) #s(literal -1/2 binary64))
(pow.f64 (exp.f64 (log.f64 (/.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))))))) #s(literal -1 binary64))
(*.f64 (pow.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) #s(literal -1/2 binary64)) (*.f64 (pow.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) #s(literal -1/2 binary64)) (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))))))
(*.f64 (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))) (/.f64 #s(literal 4 binary64) (PI.f64)))
(*.f64 (*.f64 (pow.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) #s(literal -1/2 binary64)) (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))))) (pow.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) #s(literal -1/2 binary64)))
(*.f64 #s(literal 1 binary64) (/.f64 (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))) (*.f64 (PI.f64) #s(literal 1/4 binary64))))
(*.f64 #s(literal 4 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))))))
(*.f64 #s(literal 4 binary64) (pow.f64 (*.f64 (PI.f64) (/.f64 #s(literal 1 binary64) (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))))) #s(literal -1 binary64)))
(*.f64 #s(literal 4 binary64) (pow.f64 (/.f64 (PI.f64) (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))))) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))))
(*.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))))))
(*.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))))) #s(literal 1 binary64)) #s(literal -1 binary64)))
(*.f64 (log.f64 (/.f64 (cosh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))) (sinh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))))) (/.f64 #s(literal -4 binary64) (PI.f64)))
(*.f64 (/.f64 (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))) (*.f64 (PI.f64) #s(literal -1/4 binary64))) #s(literal -1 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))) (*.f64 (PI.f64) #s(literal -1/4 binary64))))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (PI.f64) #s(literal -1/4 binary64)) (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))))))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64))) (*.f64 (pow.f64 #s(literal 1/4 binary64) #s(literal -1/2 binary64)) (*.f64 (pow.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) #s(literal -1/2 binary64)) (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))))))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64))) (pow.f64 (*.f64 (sqrt.f64 (PI.f64)) (/.f64 #s(literal 1/4 binary64) (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))))) #s(literal -1 binary64)))
(*.f64 (/.f64 (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))) (*.f64 (PI.f64) #s(literal 1/4 binary64))) #s(literal 1 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/4 binary64) (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))))))
(*.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) (*.f64 #s(literal 4 binary64) (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))))))
(*.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) (pow.f64 (/.f64 (/.f64 #s(literal 1/4 binary64) (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))))) #s(literal 1 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) #s(literal -1/4 binary64)) (*.f64 (pow.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) #s(literal -1/4 binary64)) (*.f64 (pow.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) #s(literal -1/2 binary64)) (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))))))
(*.f64 (/.f64 #s(literal -4 binary64) (PI.f64)) (log.f64 (/.f64 (cosh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))) (sinh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))))))
(*.f64 (/.f64 #s(literal -4 binary64) (PI.f64)) (neg.f64 (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))))))
(*.f64 (/.f64 #s(literal -4 binary64) (PI.f64)) (pow.f64 (/.f64 #s(literal 1 binary64) (neg.f64 (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))))) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/4 binary64) (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))))) (/.f64 #s(literal 1 binary64) (PI.f64)))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))))) (/.f64 #s(literal 4 binary64) (PI.f64)))
(*.f64 (/.f64 (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))) #s(literal 1 binary64)) (/.f64 #s(literal 4 binary64) (PI.f64)))
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(*.f64 #s(literal 1 binary64) (log.f64 (/.f64 (cosh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))) (sinh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))))))
(*.f64 (log.f64 (/.f64 (cosh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))) (sinh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))))) #s(literal 1 binary64))
(*.f64 (+.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (log.f64 (/.f64 (cosh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))) (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))))) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (log.f64 (/.f64 (cosh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))) (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))))) (log.f64 (/.f64 (/.f64 (cosh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))) (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))))) #s(literal 2 binary64))) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))))
(*.f64 (-.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 (log.f64 (/.f64 (cosh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))) (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))))) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (log.f64 (/.f64 #s(literal 2 binary64) (/.f64 (cosh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))) (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))))))))

simplify407.0ms (2.1%)

Memory
-11.4MiB live, 873.3MiB allocated
Algorithm
1×egg-herbie
Rules
9 746×lower-fma.f64
9 746×lower-fma.f32
4 862×lower-+.f64
4 862×lower-+.f32
4 514×lower-*.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03856131
112925297
254944571
096244426
Stop Event
1×iter limit
1×node limit
Counts
204 → 204
Calls
Call 1
Inputs
(* 4 (/ (+ (log f) (log (* 1/4 (PI)))) (PI)))
(+ (* 4 (/ (+ (log f) (log (* 1/4 (PI)))) (PI))) (* 8 (/ (* f (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2)))) (pow (PI) 2))))
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Outputs
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(- (+ (log 2) (* f (- (* f (- (+ (* 1/32 (pow (PI) 2)) (* f (- (* -1/2 (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (* -1/128 (pow (PI) 3)))) (* 1/6 (+ (* -24 (/ (* (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (+ (* -1/128 (pow (PI) 3)) (* 1/192 (pow (PI) 3)))) (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2)))) (pow (PI) 2))) (+ (* 12 (/ (+ (* -1/4 (* (PI) (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (+ (* -1/128 (pow (PI) 3)) (* 1/384 (pow (PI) 3)))))) (+ (* -1/32 (* (pow (PI) 2) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (+ (* -1/1536 (pow (PI) 4)) (* 1/3072 (pow (PI) 4))))) (PI))) (* 16 (/ (pow (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) 3) (pow (PI) 3))))))))) (* 1/2 (+ (* -4 (/ (pow (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) 2) (pow (PI) 2))) (* 4 (/ (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (+ (* -1/128 (pow (PI) 3)) (* 1/192 (pow (PI) 3)))) (PI))))))) (* 2 (/ (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) (PI)))))) (+ (log f) (log (* 1/2 (PI)))))
(fma.f64 f (fma.f64 f (fma.f64 f (fma.f64 (*.f64 (PI.f64) (fma.f64 #s(literal -1/128 binary64) (*.f64 (PI.f64) (PI.f64)) (*.f64 #s(literal -1/4 binary64) (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal -1/32 binary64)))))) #s(literal -1/2 binary64) (*.f64 (fma.f64 #s(literal 12 binary64) (/.f64 (fma.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (fma.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal -1/32 binary64))) #s(literal -1/4 binary64) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal -1/192 binary64)))) #s(literal -1/4 binary64)) (fma.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (PI.f64))) #s(literal -1/3072 binary64) (*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/1024 binary64)))) (PI.f64)) #s(literal 0 binary64)) #s(literal -1/6 binary64))) (fma.f64 #s(literal -2 binary64) (/.f64 (*.f64 (PI.f64) (fma.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal -1/32 binary64))) #s(literal -1/4 binary64) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal -1/384 binary64)))) (PI.f64)) (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/32 binary64))))) #s(literal 0 binary64)) (-.f64 (-.f64 (log.f64 #s(literal 2 binary64)) (log.f64 f)) (log.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)))))
(- (+ (log 2) (log (* 1/2 (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI))))))))) (log (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI))))))))
(+.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))) (exp.f64 (*.f64 (PI.f64) (*.f64 f #s(literal -1/4 binary64))))))) (-.f64 (log.f64 #s(literal 2 binary64)) (log.f64 (-.f64 (exp.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))) (exp.f64 (*.f64 (PI.f64) (*.f64 f #s(literal -1/4 binary64))))))))
(- (+ (log 2) (log (* 1/2 (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI))))))))) (log (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI))))))))
(+.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))) (exp.f64 (*.f64 (PI.f64) (*.f64 f #s(literal -1/4 binary64))))))) (-.f64 (log.f64 #s(literal 2 binary64)) (log.f64 (-.f64 (exp.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))) (exp.f64 (*.f64 (PI.f64) (*.f64 f #s(literal -1/4 binary64))))))))
(- (+ (log 2) (log (* 1/2 (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI))))))))) (log (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI))))))))
(+.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))) (exp.f64 (*.f64 (PI.f64) (*.f64 f #s(literal -1/4 binary64))))))) (-.f64 (log.f64 #s(literal 2 binary64)) (log.f64 (-.f64 (exp.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))) (exp.f64 (*.f64 (PI.f64) (*.f64 f #s(literal -1/4 binary64))))))))
(- (+ (log 2) (log (* 1/2 (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI))))))))) (log (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI))))))))
(+.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))) (exp.f64 (*.f64 (PI.f64) (*.f64 f #s(literal -1/4 binary64))))))) (-.f64 (log.f64 #s(literal 2 binary64)) (log.f64 (-.f64 (exp.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))) (exp.f64 (*.f64 (PI.f64) (*.f64 f #s(literal -1/4 binary64))))))))
(- (+ (log 2) (log (* 1/2 (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI))))))))) (log (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI))))))))
(+.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))) (exp.f64 (*.f64 (PI.f64) (*.f64 f #s(literal -1/4 binary64))))))) (-.f64 (log.f64 #s(literal 2 binary64)) (log.f64 (-.f64 (exp.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))) (exp.f64 (*.f64 (PI.f64) (*.f64 f #s(literal -1/4 binary64))))))))
(- (+ (log 2) (log (* 1/2 (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI))))))))) (log (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI))))))))
(+.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))) (exp.f64 (*.f64 (PI.f64) (*.f64 f #s(literal -1/4 binary64))))))) (-.f64 (log.f64 #s(literal 2 binary64)) (log.f64 (-.f64 (exp.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))) (exp.f64 (*.f64 (PI.f64) (*.f64 f #s(literal -1/4 binary64))))))))
(- (+ (log 2) (log (* 1/2 (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI))))))))) (log (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI))))))))
(+.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))) (exp.f64 (*.f64 (PI.f64) (*.f64 f #s(literal -1/4 binary64))))))) (-.f64 (log.f64 #s(literal 2 binary64)) (log.f64 (-.f64 (exp.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))) (exp.f64 (*.f64 (PI.f64) (*.f64 f #s(literal -1/4 binary64))))))))
(- (+ (log 2) (log (* 1/2 (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI))))))))) (log (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI))))))))
(+.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))) (exp.f64 (*.f64 (PI.f64) (*.f64 f #s(literal -1/4 binary64))))))) (-.f64 (log.f64 #s(literal 2 binary64)) (log.f64 (-.f64 (exp.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))) (exp.f64 (*.f64 (PI.f64) (*.f64 f #s(literal -1/4 binary64))))))))

eval852.0ms (4.5%)

Memory
-65.7MiB live, 1 120.9MiB allocated
Compiler

Compiled 105 642 to 10 514 computations (90% saved)

prune332.0ms (1.7%)

Memory
15.9MiB live, 700.9MiB allocated
Pruning

17 alts after pruning (17 fresh and 0 done)

PrunedKeptTotal
New2 908142 922
Fresh14317
Picked505
Done000
Total2 927172 944
Accuracy
99.9%
Counts
2 944 → 17
Alt Table
Click to see full alt table
StatusAccuracyProgram
97.0%
(fma.f64 f (*.f64 f (*.f64 (PI.f64) #s(literal -1/12 binary64))) (*.f64 (-.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (log.f64 f)) (/.f64 #s(literal -4 binary64) (PI.f64))))
96.7%
(/.f64 (*.f64 #s(literal 4 binary64) (log.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))) (PI.f64))
▶8.9%
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) (-.f64 (log1p.f64 (neg.f64 (exp.f64 (*.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)) #s(literal -2 binary64))))) (log1p.f64 (exp.f64 (*.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)) #s(literal -2 binary64)))))))
96.7%
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) (+.f64 (log.f64 f) (log.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64))))))
▶97.7%
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1/4 binary64) (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))))) (PI.f64)))
97.0%
(*.f64 (pow.f64 (*.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))) #s(literal 1/4 binary64)) #s(literal -1/2 binary64)) (*.f64 (pow.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) #s(literal -1/2 binary64)) (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))))
8.9%
(*.f64 (pow.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) #s(literal -1/2 binary64)) (*.f64 (pow.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) #s(literal -1/2 binary64)) (-.f64 (log1p.f64 (neg.f64 (exp.f64 (*.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)) #s(literal -2 binary64))))) (log1p.f64 (exp.f64 (*.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)) #s(literal -2 binary64)))))))
▶96.6%
(*.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (log.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))))
▶97.8%
(*.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))))
96.6%
(neg.f64 (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) (neg.f64 (log.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))))))
95.4%
(neg.f64 (*.f64 (pow.f64 (pow.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) #s(literal -1/4 binary64)) #s(literal 4 binary64)) (+.f64 (log.f64 #s(literal 2 binary64)) (-.f64 (log.f64 (cosh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (log.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))))))))
97.5%
(neg.f64 (*.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (+.f64 (log.f64 #s(literal 2 binary64)) (-.f64 (log.f64 (cosh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (log.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))))))))
96.2%
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64)))) #s(literal 4 binary64))) (log.f64 (/.f64 #s(literal 2 binary64) (*.f64 f (*.f64 (PI.f64) #s(literal 1/2 binary64)))))))
96.9%
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (fma.f64 f (*.f64 f (fma.f64 (*.f64 #s(literal 1/192 binary64) (*.f64 #s(literal 2 binary64) (+.f64 (PI.f64) (PI.f64)))) #s(literal -2 binary64) (*.f64 #s(literal 1/16 binary64) (+.f64 (PI.f64) (PI.f64))))) (/.f64 #s(literal 4 binary64) (PI.f64))) f))))
▶96.6%
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 #s(literal 2 binary64) (*.f64 f (*.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))) #s(literal 1/2 binary64)))))))
97.4%
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))) (sinh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))))))
95.3%
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 1/4 binary64) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)))) (log.f64 (/.f64 #s(literal 2 binary64) (*.f64 f (*.f64 (PI.f64) #s(literal 1/2 binary64)))))))
Compiler

Compiled 720 to 510 computations (29.2% saved)

simplify268.0ms (1.4%)

Memory
5.0MiB live, 320.0MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(*.f64 (PI.f64) #s(literal 1/4 binary64))
✓cost-diff0
(/.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) (-.f64 (log1p.f64 (neg.f64 (exp.f64 (*.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)) #s(literal -2 binary64))))) (log1p.f64 (exp.f64 (*.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)) #s(literal -2 binary64))))))
✓cost-diff320
(*.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)) #s(literal -2 binary64))
✓cost-diff704
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) (-.f64 (log1p.f64 (neg.f64 (exp.f64 (*.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)) #s(literal -2 binary64))))) (log1p.f64 (exp.f64 (*.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)) #s(literal -2 binary64)))))))
✓cost-diff0
(log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))))
✓cost-diff0
(/.f64 #s(literal 1/4 binary64) (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))))
✓cost-diff0
(*.f64 (/.f64 #s(literal 1/4 binary64) (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))))) (PI.f64))
✓cost-diff704
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1/4 binary64) (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))))) (PI.f64)))
✓cost-diff256
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 #s(literal 2 binary64) (*.f64 f (*.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))) #s(literal 1/2 binary64)))))))
✓cost-diff320
(/.f64 #s(literal 2 binary64) (*.f64 f (*.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))) #s(literal 1/2 binary64))))
✓cost-diff704
(/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64)))
✓cost-diff1600
(*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)))
✓cost-diff0
(log.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))
✓cost-diff0
(PI.f64)
✓cost-diff0
(/.f64 #s(literal 4 binary64) (PI.f64))
✓cost-diff0
(*.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (log.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))))
✓cost-diff0
(log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))
✓cost-diff0
(PI.f64)
✓cost-diff0
(/.f64 #s(literal 4 binary64) (PI.f64))
✓cost-diff0
(*.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))))
Rules
4 734×lower-fma.f64
4 734×lower-fma.f32
2 902×lower-*.f32
2 878×lower-*.f64
2 174×lower--.f32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
041354
077317
1173291
2389285
31059285
42661285
54809285
66816285
08040285
Stop Event
1×iter limit
1×node limit
1×iter limit
Calls
Call 1
Inputs
(*.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))))
(/.f64 #s(literal 4 binary64) (PI.f64))
#s(literal 4 binary64)
(PI.f64)
(log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))
(tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))
(*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)
(*.f64 (PI.f64) #s(literal 1/4 binary64))
#s(literal 1/4 binary64)
f
(*.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (log.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))))
(/.f64 #s(literal 4 binary64) (PI.f64))
#s(literal 4 binary64)
(PI.f64)
(log.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))
(*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))
(*.f64 #s(literal 1/4 binary64) f)
#s(literal 1/4 binary64)
f
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 #s(literal 2 binary64) (*.f64 f (*.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))) #s(literal 1/2 binary64)))))))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 #s(literal 2 binary64) (*.f64 f (*.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))) #s(literal 1/2 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64)))
#s(literal 1 binary64)
(/.f64 (PI.f64) #s(literal 4 binary64))
(PI.f64)
#s(literal 4 binary64)
(log.f64 (/.f64 #s(literal 2 binary64) (*.f64 f (*.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))) #s(literal 1/2 binary64)))))
(/.f64 #s(literal 2 binary64) (*.f64 f (*.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))) #s(literal 1/2 binary64))))
#s(literal 2 binary64)
(*.f64 f (*.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))) #s(literal 1/2 binary64)))
f
(*.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))) #s(literal 1/2 binary64))
(*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)))
(sqrt.f64 (PI.f64))
#s(literal 1/2 binary64)
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1/4 binary64) (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))))) (PI.f64)))
#s(literal 1 binary64)
(*.f64 (/.f64 #s(literal 1/4 binary64) (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))))) (PI.f64))
(/.f64 #s(literal 1/4 binary64) (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))))
#s(literal 1/4 binary64)
(log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))))
(tanh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))
(*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))
(PI.f64)
(*.f64 #s(literal 1/4 binary64) f)
f
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) (-.f64 (log1p.f64 (neg.f64 (exp.f64 (*.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)) #s(literal -2 binary64))))) (log1p.f64 (exp.f64 (*.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)) #s(literal -2 binary64)))))))
#s(literal 1 binary64)
(/.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) (-.f64 (log1p.f64 (neg.f64 (exp.f64 (*.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)) #s(literal -2 binary64))))) (log1p.f64 (exp.f64 (*.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)) #s(literal -2 binary64))))))
(*.f64 (PI.f64) #s(literal 1/4 binary64))
(PI.f64)
#s(literal 1/4 binary64)
(-.f64 (log1p.f64 (neg.f64 (exp.f64 (*.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)) #s(literal -2 binary64))))) (log1p.f64 (exp.f64 (*.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)) #s(literal -2 binary64)))))
(log1p.f64 (neg.f64 (exp.f64 (*.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)) #s(literal -2 binary64)))))
(neg.f64 (exp.f64 (*.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)) #s(literal -2 binary64))))
(exp.f64 (*.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)) #s(literal -2 binary64)))
(*.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)) #s(literal -2 binary64))
(*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))
(*.f64 #s(literal 1/4 binary64) f)
f
#s(literal -2 binary64)
(log1p.f64 (exp.f64 (*.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)) #s(literal -2 binary64))))
Outputs
(*.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))))
(/.f64 (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))) (*.f64 (PI.f64) #s(literal 1/4 binary64)))
(/.f64 #s(literal 4 binary64) (PI.f64))
#s(literal 4 binary64)
(PI.f64)
(log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))
(log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))))
(tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))
(tanh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))
(*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)
(*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))
(*.f64 (PI.f64) #s(literal 1/4 binary64))
#s(literal 1/4 binary64)
f
(*.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (log.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))))
(/.f64 (log.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))) (*.f64 (PI.f64) #s(literal 1/4 binary64)))
(/.f64 #s(literal 4 binary64) (PI.f64))
#s(literal 4 binary64)
(PI.f64)
(log.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))
(*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))
(*.f64 #s(literal 1/4 binary64) f)
#s(literal 1/4 binary64)
f
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 #s(literal 2 binary64) (*.f64 f (*.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))) #s(literal 1/2 binary64)))))))
(/.f64 (log.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))) (*.f64 (PI.f64) #s(literal 1/4 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 #s(literal 2 binary64) (*.f64 f (*.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))) #s(literal 1/2 binary64))))))
(neg.f64 (/.f64 (log.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))) (*.f64 (PI.f64) #s(literal 1/4 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64)))
(/.f64 #s(literal 4 binary64) (PI.f64))
#s(literal 1 binary64)
(/.f64 (PI.f64) #s(literal 4 binary64))
(PI.f64)
#s(literal 4 binary64)
(log.f64 (/.f64 #s(literal 2 binary64) (*.f64 f (*.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))) #s(literal 1/2 binary64)))))
(neg.f64 (log.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))))
(/.f64 #s(literal 2 binary64) (*.f64 f (*.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))) #s(literal 1/2 binary64))))
(/.f64 #s(literal 4 binary64) (*.f64 (PI.f64) f))
#s(literal 2 binary64)
(*.f64 f (*.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))) #s(literal 1/2 binary64)))
(*.f64 (PI.f64) (*.f64 f #s(literal 1/2 binary64)))
f
(*.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))) #s(literal 1/2 binary64))
(*.f64 (PI.f64) #s(literal 1/2 binary64))
(*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)))
(PI.f64)
(sqrt.f64 (PI.f64))
#s(literal 1/2 binary64)
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1/4 binary64) (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))))) (PI.f64)))
(/.f64 (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))) (*.f64 (PI.f64) #s(literal 1/4 binary64)))
#s(literal 1 binary64)
(*.f64 (/.f64 #s(literal 1/4 binary64) (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))))) (PI.f64))
(/.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))))
(/.f64 #s(literal 1/4 binary64) (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))))
#s(literal 1/4 binary64)
(log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))))
(tanh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))
(*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))
(PI.f64)
(*.f64 #s(literal 1/4 binary64) f)
f
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) (-.f64 (log1p.f64 (neg.f64 (exp.f64 (*.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)) #s(literal -2 binary64))))) (log1p.f64 (exp.f64 (*.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)) #s(literal -2 binary64)))))))
(/.f64 (-.f64 (log.f64 (neg.f64 (expm1.f64 (*.f64 (PI.f64) (*.f64 f #s(literal -1/2 binary64)))))) (log1p.f64 (exp.f64 (*.f64 (PI.f64) (*.f64 f #s(literal -1/2 binary64)))))) (*.f64 (PI.f64) #s(literal 1/4 binary64)))
#s(literal 1 binary64)
(/.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) (-.f64 (log1p.f64 (neg.f64 (exp.f64 (*.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)) #s(literal -2 binary64))))) (log1p.f64 (exp.f64 (*.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)) #s(literal -2 binary64))))))
(/.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) (-.f64 (log.f64 (neg.f64 (expm1.f64 (*.f64 (PI.f64) (*.f64 f #s(literal -1/2 binary64)))))) (log1p.f64 (exp.f64 (*.f64 (PI.f64) (*.f64 f #s(literal -1/2 binary64)))))))
(*.f64 (PI.f64) #s(literal 1/4 binary64))
(PI.f64)
#s(literal 1/4 binary64)
(-.f64 (log1p.f64 (neg.f64 (exp.f64 (*.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)) #s(literal -2 binary64))))) (log1p.f64 (exp.f64 (*.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)) #s(literal -2 binary64)))))
(-.f64 (log.f64 (neg.f64 (expm1.f64 (*.f64 (PI.f64) (*.f64 f #s(literal -1/2 binary64)))))) (log1p.f64 (exp.f64 (*.f64 (PI.f64) (*.f64 f #s(literal -1/2 binary64))))))
(log1p.f64 (neg.f64 (exp.f64 (*.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)) #s(literal -2 binary64)))))
(log.f64 (neg.f64 (expm1.f64 (*.f64 (PI.f64) (*.f64 f #s(literal -1/2 binary64))))))
(neg.f64 (exp.f64 (*.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)) #s(literal -2 binary64))))
(neg.f64 (exp.f64 (*.f64 (PI.f64) (*.f64 f #s(literal -1/2 binary64)))))
(exp.f64 (*.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)) #s(literal -2 binary64)))
(exp.f64 (*.f64 (PI.f64) (*.f64 f #s(literal -1/2 binary64))))
(*.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)) #s(literal -2 binary64))
(*.f64 (PI.f64) (*.f64 f #s(literal -1/2 binary64)))
(*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))
(*.f64 #s(literal 1/4 binary64) f)
f
#s(literal -2 binary64)
(log1p.f64 (exp.f64 (*.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)) #s(literal -2 binary64))))
(log1p.f64 (exp.f64 (*.f64 (PI.f64) (*.f64 f #s(literal -1/2 binary64)))))

localize280.0ms (1.5%)

Memory
-13.0MiB live, 498.9MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
✓accuracy99.6%
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) (-.f64 (log1p.f64 (neg.f64 (exp.f64 (*.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)) #s(literal -2 binary64))))) (log1p.f64 (exp.f64 (*.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)) #s(literal -2 binary64)))))))
✓accuracy99.6%
(*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))
✓accuracy99.5%
(/.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) (-.f64 (log1p.f64 (neg.f64 (exp.f64 (*.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)) #s(literal -2 binary64))))) (log1p.f64 (exp.f64 (*.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)) #s(literal -2 binary64))))))
✓accuracy9.0%
(log1p.f64 (neg.f64 (exp.f64 (*.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)) #s(literal -2 binary64)))))
✓accuracy99.6%
(*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))
✓accuracy99.5%
(/.f64 #s(literal 1/4 binary64) (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))))
✓accuracy99.5%
(*.f64 (/.f64 #s(literal 1/4 binary64) (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))))) (PI.f64))
✓accuracy98.5%
(log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))))
✓accuracy99.6%
(*.f64 f (*.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))) #s(literal 1/2 binary64)))
✓accuracy99.3%
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 #s(literal 2 binary64) (*.f64 f (*.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))) #s(literal 1/2 binary64))))))
✓accuracy98.4%
(*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)))
✓accuracy98.4%
(sqrt.f64 (PI.f64))
✓accuracy100.0%
(log.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))
✓accuracy99.6%
(PI.f64)
✓accuracy99.6%
(*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))
✓accuracy99.3%
(*.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (log.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))))
✓accuracy99.6%
(PI.f64)
✓accuracy99.6%
(*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)
✓accuracy99.3%
(*.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))))
✓accuracy98.5%
(log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))
Samples
170.0ms238×1valid
14.0ms1×5exit
10.0ms17×0valid
Compiler

Compiled 356 to 43 computations (87.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 153.0ms
ival-mult: 37.0ms (24.1% of total)
ival-log: 34.0ms (22.2% of total)
ival-div: 25.0ms (16.3% of total)
ival-log1p: 14.0ms (9.1% of total)
ival-exp: 12.0ms (7.8% of total)
adjust: 8.0ms (5.2% of total)
ival-sqrt: 8.0ms (5.2% of total)
ival-tanh: 7.0ms (4.6% of total)
ival-neg: 4.0ms (2.6% of total)
ival-pi: 2.0ms (1.3% of total)
ival-sub: 2.0ms (1.3% of total)
exact: 1.0ms (0.7% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series143.0ms (0.8%)

Memory
31.9MiB live, 219.6MiB allocated
Counts
24 → 216
Calls
Call 1
Inputs
#<alt (*.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))))>
#<alt (/.f64 #s(literal 4 binary64) (PI.f64))>
#<alt (PI.f64)>
#<alt (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))>
#<alt (*.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (log.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))))>
#<alt (log.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))>
#<alt (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)))>
#<alt (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64)))>
#<alt (/.f64 #s(literal 2 binary64) (*.f64 f (*.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))) #s(literal 1/2 binary64))))>
#<alt (neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 #s(literal 2 binary64) (*.f64 f (*.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))) #s(literal 1/2 binary64)))))))>
#<alt (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1/4 binary64) (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))))) (PI.f64)))>
#<alt (*.f64 (/.f64 #s(literal 1/4 binary64) (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))))) (PI.f64))>
#<alt (/.f64 #s(literal 1/4 binary64) (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))))>
#<alt (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))))>
#<alt (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) (-.f64 (log1p.f64 (neg.f64 (exp.f64 (*.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)) #s(literal -2 binary64))))) (log1p.f64 (exp.f64 (*.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)) #s(literal -2 binary64)))))))>
#<alt (*.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)) #s(literal -2 binary64))>
#<alt (/.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) (-.f64 (log1p.f64 (neg.f64 (exp.f64 (*.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)) #s(literal -2 binary64))))) (log1p.f64 (exp.f64 (*.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)) #s(literal -2 binary64))))))>
#<alt (*.f64 (PI.f64) #s(literal 1/4 binary64))>
#<alt (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)>
#<alt (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))>
#<alt (sqrt.f64 (PI.f64))>
#<alt (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 #s(literal 2 binary64) (*.f64 f (*.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))) #s(literal 1/2 binary64))))))>
#<alt (*.f64 f (*.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))) #s(literal 1/2 binary64)))>
#<alt (log1p.f64 (neg.f64 (exp.f64 (*.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)) #s(literal -2 binary64)))))>
Outputs
#<alt (* 4 (/ (+ (log f) (log (* 1/4 (PI)))) (PI)))>
#<alt (+ (* 4 (/ (+ (log f) (log (* 1/4 (PI)))) (PI))) (* 8 (/ (* f (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2)))) (pow (PI) 2))))>
#<alt (+ (* 4 (/ (+ (log f) (log (* 1/4 (PI)))) (PI))) (* f (+ (* 2 (/ (* f (+ (* -4 (/ (pow (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) 2) (pow (PI) 2))) (* 8 (/ (- (* 1/2 (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (+ (* -1/128 (pow (PI) 3)) (* 1/192 (pow (PI) 3))))) (* 1/128 (pow (PI) 3))) (PI))))) (PI))) (* 8 (/ (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) (pow (PI) 2))))))>
#<alt (+ (* 4 (/ (+ (log f) (log (* 1/4 (PI)))) (PI))) (* f (+ (* 8 (/ (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) (pow (PI) 2))) (* f (+ (* 2/3 (/ (* f (+ (* -48 (/ (* (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) (- (* 1/2 (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (+ (* -1/128 (pow (PI) 3)) (* 1/192 (pow (PI) 3))))) (* 1/128 (pow (PI) 3)))) (pow (PI) 2))) (+ (* 16 (/ (pow (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) 3) (pow (PI) 3))) (* 24 (/ (- (* 1/2 (+ (* -1/4 (* (PI) (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (+ (* -1/128 (pow (PI) 3)) (* 1/384 (pow (PI) 3)))))) (+ (* -1/32 (* (pow (PI) 2) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (+ (* -1/1536 (pow (PI) 4)) (* 1/3072 (pow (PI) 4)))))) (+ (* -1/8 (* (PI) (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (* -1/128 (pow (PI) 3))))) (* 1/64 (* (pow (PI) 2) (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))))))) (PI)))))) (PI))) (* 2 (/ (+ (* -4 (/ (pow (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) 2) (pow (PI) 2))) (* 8 (/ (- (* 1/2 (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (+ (* -1/128 (pow (PI) 3)) (* 1/192 (pow (PI) 3))))) (* 1/128 (pow (PI) 3))) (PI)))) (PI))))))))>
#<alt (* 4 (/ (log (/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))) (PI)))>
#<alt (* 4 (/ (log (/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))) (PI)))>
#<alt (* 4 (/ (log (/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))) (PI)))>
#<alt (* 4 (/ (log (/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))) (PI)))>
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#<alt (/ 1/4 (log (/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))))>
#<alt (/ 1/4 (log (/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))))>
#<alt (/ 1/4 (log (/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))))>
#<alt (/ 1/4 (log (/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))))>
#<alt (/ 1/4 (log (/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))))>
#<alt (+ (log f) (log (* 1/4 (PI))))>
#<alt (+ (log f) (+ (log (* 1/4 (PI))) (* 2 (/ (* f (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2)))) (PI)))))>
#<alt (+ (log f) (+ (log (* 1/4 (PI))) (* f (+ (* 1/2 (* f (+ (* -4 (/ (pow (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) 2) (pow (PI) 2))) (* 8 (/ (- (* 1/2 (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (+ (* -1/128 (pow (PI) 3)) (* 1/192 (pow (PI) 3))))) (* 1/128 (pow (PI) 3))) (PI)))))) (* 2 (/ (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) (PI)))))))>
#<alt (+ (log f) (+ (log (* 1/4 (PI))) (* f (+ (* 2 (/ (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) (PI))) (* f (+ (* 1/6 (* f (+ (* -48 (/ (* (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) (- (* 1/2 (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (+ (* -1/128 (pow (PI) 3)) (* 1/192 (pow (PI) 3))))) (* 1/128 (pow (PI) 3)))) (pow (PI) 2))) (+ (* 16 (/ (pow (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) 3) (pow (PI) 3))) (* 24 (/ (- (* 1/2 (+ (* -1/4 (* (PI) (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (+ (* -1/128 (pow (PI) 3)) (* 1/384 (pow (PI) 3)))))) (+ (* -1/32 (* (pow (PI) 2) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (+ (* -1/1536 (pow (PI) 4)) (* 1/3072 (pow (PI) 4)))))) (+ (* -1/8 (* (PI) (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (* -1/128 (pow (PI) 3))))) (* 1/64 (* (pow (PI) 2) (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))))))) (PI))))))) (* 1/2 (+ (* -4 (/ (pow (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) 2) (pow (PI) 2))) (* 8 (/ (- (* 1/2 (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (+ (* -1/128 (pow (PI) 3)) (* 1/192 (pow (PI) 3))))) (* 1/128 (pow (PI) 3))) (PI)))))))))))>
#<alt (log (/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI))))))))>
#<alt (log (/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI))))))))>
#<alt (log (/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI))))))))>
#<alt (log (/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI))))))))>
#<alt (log (/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI))))))))>
#<alt (log (/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI))))))))>
#<alt (log (/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI))))))))>
#<alt (log (/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI))))))))>
#<alt (* 4 (/ (- (+ (log f) (log (neg (* -1/2 (PI))))) (log 2)) (PI)))>
#<alt (+ (* 4 (* (pow f 2) (- (* 1/2 (/ (+ (* -1/16 (pow (PI) 2)) (* 1/12 (pow (PI) 2))) (PI))) (* 1/2 (/ (+ (* -1/16 (pow (PI) 2)) (* 1/8 (pow (PI) 2))) (PI)))))) (* 4 (/ (- (+ (log f) (log (neg (* -1/2 (PI))))) (log 2)) (PI))))>
#<alt (+ (* 4 (/ (- (+ (log f) (log (neg (* -1/2 (PI))))) (log 2)) (PI))) (* (pow f 2) (+ (* 4 (* f (- (* 1/6 (/ (+ (* -1/16 (pow (PI) 3)) (* 1/16 (pow (PI) 3))) (PI))) (* 1/6 (/ (+ (* -1/16 (pow (PI) 3)) (+ (* -1/32 (pow (PI) 3)) (* 3/32 (pow (PI) 3)))) (PI)))))) (* 4 (- (* 1/2 (/ (+ (* -1/16 (pow (PI) 2)) (* 1/12 (pow (PI) 2))) (PI))) (* 1/2 (/ (+ (* -1/16 (pow (PI) 2)) (* 1/8 (pow (PI) 2))) (PI))))))))>
#<alt (+ (* 4 (/ (- (+ (log f) (log (neg (* -1/2 (PI))))) (log 2)) (PI))) (* (pow f 2) (+ (* 4 (- (* 1/2 (/ (+ (* -1/16 (pow (PI) 2)) (* 1/12 (pow (PI) 2))) (PI))) (* 1/2 (/ (+ (* -1/16 (pow (PI) 2)) (* 1/8 (pow (PI) 2))) (PI))))) (* f (+ (* 4 (* f (- (* 1/24 (/ (+ (* -1/32 (pow (PI) 4)) (+ (* -3/128 (pow (PI) 4)) (+ (* -1/48 (pow (PI) 4)) (+ (* 1/80 (pow (PI) 4)) (* 1/16 (pow (PI) 4)))))) (PI))) (* 1/24 (/ (+ (* -1/16 (pow (PI) 4)) (+ (* -3/64 (pow (PI) 4)) (+ (* -3/128 (pow (PI) 4)) (+ (* 1/32 (pow (PI) 4)) (* 3/32 (pow (PI) 4)))))) (PI)))))) (* 4 (- (* 1/6 (/ (+ (* -1/16 (pow (PI) 3)) (* 1/16 (pow (PI) 3))) (PI))) (* 1/6 (/ (+ (* -1/16 (pow (PI) 3)) (+ (* -1/32 (pow (PI) 3)) (* 3/32 (pow (PI) 3)))) (PI))))))))))>
#<alt (* 4 (/ (- (log (- 1 (exp (* -1/2 (* f (PI)))))) (log (+ 1 (exp (* -1/2 (* f (PI))))))) (PI)))>
#<alt (* 4 (/ (- (log (- 1 (exp (* -1/2 (* f (PI)))))) (log (+ 1 (exp (* -1/2 (* f (PI))))))) (PI)))>
#<alt (* 4 (/ (- (log (- 1 (exp (* -1/2 (* f (PI)))))) (log (+ 1 (exp (* -1/2 (* f (PI))))))) (PI)))>
#<alt (* 4 (/ (- (log (- 1 (exp (* -1/2 (* f (PI)))))) (log (+ 1 (exp (* -1/2 (* f (PI))))))) (PI)))>
#<alt (* 4 (/ (- (log (- 1 (exp (* -1/2 (* f (PI)))))) (log (+ 1 (exp (* -1/2 (* f (PI))))))) (PI)))>
#<alt (* 4 (/ (- (log (- 1 (exp (* -1/2 (* f (PI)))))) (log (+ 1 (exp (* -1/2 (* f (PI))))))) (PI)))>
#<alt (* 4 (/ (- (log (- 1 (exp (* -1/2 (* f (PI)))))) (log (+ 1 (exp (* -1/2 (* f (PI))))))) (PI)))>
#<alt (* 4 (/ (- (log (- 1 (exp (* -1/2 (* f (PI)))))) (log (+ 1 (exp (* -1/2 (* f (PI))))))) (PI)))>
#<alt (* -1/2 (* f (PI)))>
#<alt (* -1/2 (* f (PI)))>
#<alt (* -1/2 (* f (PI)))>
#<alt (* -1/2 (* f (PI)))>
#<alt (* -1/2 (* f (PI)))>
#<alt (* -1/2 (* f (PI)))>
#<alt (* -1/2 (* f (PI)))>
#<alt (* -1/2 (* f (PI)))>
#<alt (* -1/2 (* f (PI)))>
#<alt (* -1/2 (* f (PI)))>
#<alt (* -1/2 (* f (PI)))>
#<alt (* -1/2 (* f (PI)))>
#<alt (* 1/4 (/ (PI) (- (+ (log f) (log (neg (* -1/2 (PI))))) (log 2))))>
#<alt (+ (* -1/4 (/ (* (pow f 2) (* (PI) (- (* 1/2 (+ (* -1/16 (pow (PI) 2)) (* 1/12 (pow (PI) 2)))) (* 1/2 (+ (* -1/16 (pow (PI) 2)) (* 1/8 (pow (PI) 2))))))) (pow (- (+ (log f) (log (neg (* -1/2 (PI))))) (log 2)) 2))) (* 1/4 (/ (PI) (- (+ (log f) (log (neg (* -1/2 (PI))))) (log 2)))))>
#<alt (+ (* 1/4 (/ (PI) (- (+ (log f) (log (neg (* -1/2 (PI))))) (log 2)))) (* (pow f 2) (+ (* -1/4 (/ (* f (* (PI) (- (* 1/6 (+ (* -1/16 (pow (PI) 3)) (* 1/16 (pow (PI) 3)))) (* 1/6 (+ (* -1/16 (pow (PI) 3)) (+ (* -1/32 (pow (PI) 3)) (* 3/32 (pow (PI) 3)))))))) (pow (- (+ (log f) (log (neg (* -1/2 (PI))))) (log 2)) 2))) (* -1/4 (/ (* (PI) (- (* 1/2 (+ (* -1/16 (pow (PI) 2)) (* 1/12 (pow (PI) 2)))) (* 1/2 (+ (* -1/16 (pow (PI) 2)) (* 1/8 (pow (PI) 2)))))) (pow (- (+ (log f) (log (neg (* -1/2 (PI))))) (log 2)) 2))))))>
#<alt (+ (* 1/4 (/ (PI) (- (+ (log f) (log (neg (* -1/2 (PI))))) (log 2)))) (* (pow f 2) (+ (* -1/4 (/ (* (PI) (- (* 1/2 (+ (* -1/16 (pow (PI) 2)) (* 1/12 (pow (PI) 2)))) (* 1/2 (+ (* -1/16 (pow (PI) 2)) (* 1/8 (pow (PI) 2)))))) (pow (- (+ (log f) (log (neg (* -1/2 (PI))))) (log 2)) 2))) (* f (+ (* -1/4 (* f (+ (* -1 (/ (* (PI) (pow (- (* 1/2 (+ (* -1/16 (pow (PI) 2)) (* 1/12 (pow (PI) 2)))) (* 1/2 (+ (* -1/16 (pow (PI) 2)) (* 1/8 (pow (PI) 2))))) 2)) (pow (- (+ (log f) (log (neg (* -1/2 (PI))))) (log 2)) 3))) (/ (* (PI) (- (* 1/24 (+ (* -1/32 (pow (PI) 4)) (+ (* -3/128 (pow (PI) 4)) (+ (* -1/48 (pow (PI) 4)) (+ (* 1/80 (pow (PI) 4)) (* 1/16 (pow (PI) 4))))))) (* 1/24 (+ (* -1/16 (pow (PI) 4)) (+ (* -3/64 (pow (PI) 4)) (+ (* -3/128 (pow (PI) 4)) (+ (* 1/32 (pow (PI) 4)) (* 3/32 (pow (PI) 4))))))))) (pow (- (+ (log f) (log (neg (* -1/2 (PI))))) (log 2)) 2))))) (* -1/4 (/ (* (PI) (- (* 1/6 (+ (* -1/16 (pow (PI) 3)) (* 1/16 (pow (PI) 3)))) (* 1/6 (+ (* -1/16 (pow (PI) 3)) (+ (* -1/32 (pow (PI) 3)) (* 3/32 (pow (PI) 3))))))) (pow (- (+ (log f) (log (neg (* -1/2 (PI))))) (log 2)) 2))))))))>
#<alt (* 1/4 (/ (PI) (- (log (- 1 (exp (* -1/2 (* f (PI)))))) (log (+ 1 (exp (* -1/2 (* f (PI)))))))))>
#<alt (* 1/4 (/ (PI) (- (log (- 1 (exp (* -1/2 (* f (PI)))))) (log (+ 1 (exp (* -1/2 (* f (PI)))))))))>
#<alt (* 1/4 (/ (PI) (- (log (- 1 (exp (* -1/2 (* f (PI)))))) (log (+ 1 (exp (* -1/2 (* f (PI)))))))))>
#<alt (* 1/4 (/ (PI) (- (log (- 1 (exp (* -1/2 (* f (PI)))))) (log (+ 1 (exp (* -1/2 (* f (PI)))))))))>
#<alt (* 1/4 (/ (PI) (- (log (- 1 (exp (* -1/2 (* f (PI)))))) (log (+ 1 (exp (* -1/2 (* f (PI)))))))))>
#<alt (* 1/4 (/ (PI) (- (log (- 1 (exp (* -1/2 (* f (PI)))))) (log (+ 1 (exp (* -1/2 (* f (PI)))))))))>
#<alt (* 1/4 (/ (PI) (- (log (- 1 (exp (* -1/2 (* f (PI)))))) (log (+ 1 (exp (* -1/2 (* f (PI)))))))))>
#<alt (* 1/4 (/ (PI) (- (log (- 1 (exp (* -1/2 (* f (PI)))))) (log (+ 1 (exp (* -1/2 (* f (PI)))))))))>
#<alt (* 1/4 (* f (PI)))>
#<alt (* 1/4 (* f (PI)))>
#<alt (* 1/4 (* f (PI)))>
#<alt (* 1/4 (* f (PI)))>
#<alt (* 1/4 (* f (PI)))>
#<alt (* 1/4 (* f (PI)))>
#<alt (* 1/4 (* f (PI)))>
#<alt (* 1/4 (* f (PI)))>
#<alt (* 1/4 (* f (PI)))>
#<alt (* 1/4 (* f (PI)))>
#<alt (* 1/4 (* f (PI)))>
#<alt (* 1/4 (* f (PI)))>
#<alt (* 1/4 (* f (PI)))>
#<alt (* 1/4 (* f (PI)))>
#<alt (* 1/4 (* f (PI)))>
#<alt (* 1/4 (* f (PI)))>
#<alt (* 1/4 (* f (PI)))>
#<alt (* 1/4 (* f (PI)))>
#<alt (* 1/4 (* f (PI)))>
#<alt (* 1/4 (* f (PI)))>
#<alt (* 1/4 (* f (PI)))>
#<alt (* 1/4 (* f (PI)))>
#<alt (* 1/4 (* f (PI)))>
#<alt (* 1/4 (* f (PI)))>
#<alt (* 4 (/ (+ (log (/ 4 (PI))) (* -1 (log f))) (PI)))>
#<alt (* 4 (/ (+ (log (/ 4 (PI))) (* -1 (log f))) (PI)))>
#<alt (* 4 (/ (+ (log (/ 4 (PI))) (* -1 (log f))) (PI)))>
#<alt (* 4 (/ (+ (log (/ 4 (PI))) (* -1 (log f))) (PI)))>
#<alt (* 4 (/ (+ (log (/ 1 f)) (log (/ 4 (PI)))) (PI)))>
#<alt (* 4 (/ (+ (log (/ 1 f)) (log (/ 4 (PI)))) (PI)))>
#<alt (* 4 (/ (+ (log (/ 1 f)) (log (/ 4 (PI)))) (PI)))>
#<alt (* 4 (/ (+ (log (/ 1 f)) (log (/ 4 (PI)))) (PI)))>
#<alt (* 4 (/ (+ (log (/ -4 (PI))) (log (/ -1 f))) (PI)))>
#<alt (* 4 (/ (+ (log (/ -4 (PI))) (log (/ -1 f))) (PI)))>
#<alt (* 4 (/ (+ (log (/ -4 (PI))) (log (/ -1 f))) (PI)))>
#<alt (* 4 (/ (+ (log (/ -4 (PI))) (log (/ -1 f))) (PI)))>
#<alt (* 1/2 (* f (PI)))>
#<alt (* 1/2 (* f (PI)))>
#<alt (* 1/2 (* f (PI)))>
#<alt (* 1/2 (* f (PI)))>
#<alt (* 1/2 (* f (PI)))>
#<alt (* 1/2 (* f (PI)))>
#<alt (* 1/2 (* f (PI)))>
#<alt (* 1/2 (* f (PI)))>
#<alt (* 1/2 (* f (PI)))>
#<alt (* 1/2 (* f (PI)))>
#<alt (* 1/2 (* f (PI)))>
#<alt (* 1/2 (* f (PI)))>
#<alt (+ (log f) (log (neg (* -1/2 (PI)))))>
#<alt (+ (log f) (+ (log (neg (* -1/2 (PI)))) (* -1/4 (* f (PI)))))>
#<alt (+ (log f) (+ (log (neg (* -1/2 (PI)))) (* f (+ (* -1/4 (PI)) (* 1/2 (* f (+ (* -1/16 (pow (PI) 2)) (* 1/12 (pow (PI) 2)))))))))>
#<alt (+ (log f) (+ (log (neg (* -1/2 (PI)))) (* f (+ (* -1/4 (PI)) (* f (+ (* 1/6 (* f (+ (* -1/16 (pow (PI) 3)) (* 1/16 (pow (PI) 3))))) (* 1/2 (+ (* -1/16 (pow (PI) 2)) (* 1/12 (pow (PI) 2))))))))))>
#<alt (log (- 1 (exp (* -1/2 (* f (PI))))))>
#<alt (log (- 1 (exp (* -1/2 (* f (PI))))))>
#<alt (log (- 1 (exp (* -1/2 (* f (PI))))))>
#<alt (log (- 1 (exp (* -1/2 (* f (PI))))))>
#<alt (log (- 1 (exp (* -1/2 (* f (PI))))))>
#<alt (log (- 1 (exp (* -1/2 (* f (PI))))))>
#<alt (log (- 1 (exp (* -1/2 (* f (PI))))))>
#<alt (log (- 1 (exp (* -1/2 (* f (PI))))))>
Calls

54 calls:

TimeVariablePointExpression
44.0ms
f
@-inf
(/ 1 (/ (* (PI) 1/4) (- (log (+ 1 (neg (exp (* (* (PI) (* 1/4 f)) -2))))) (log (+ 1 (exp (* (* (PI) (* 1/4 f)) -2)))))))
37.0ms
f
@inf
(/ 1 (/ (* (PI) 1/4) (- (log (+ 1 (neg (exp (* (* (PI) (* 1/4 f)) -2))))) (log (+ 1 (exp (* (* (PI) (* 1/4 f)) -2)))))))
15.0ms
f
@-inf
(* (/ 4 (PI)) (log (* (PI) (* 1/4 f))))
15.0ms
f
@0
(* (/ 4 (PI)) (log (* (PI) (* 1/4 f))))
12.0ms
f
@inf
(* (/ 4 (PI)) (log (* (PI) (* 1/4 f))))

rewrite348.0ms (1.8%)

Memory
-32.0MiB live, 619.3MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
3 488×lower-/.f32
3 474×lower-/.f64
3 390×lower-*.f32
3 366×lower-*.f64
1 834×lower-fma.f64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
041227
077168
1290162
21607161
08809161
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
24 → 2 034
Calls
Call 1
Inputs
(*.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))))
(/.f64 #s(literal 4 binary64) (PI.f64))
(PI.f64)
(log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))
(*.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (log.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))))
(log.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))
(*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)))
(/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64)))
(/.f64 #s(literal 2 binary64) (*.f64 f (*.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))) #s(literal 1/2 binary64))))
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 #s(literal 2 binary64) (*.f64 f (*.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))) #s(literal 1/2 binary64)))))))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1/4 binary64) (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))))) (PI.f64)))
(*.f64 (/.f64 #s(literal 1/4 binary64) (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))))) (PI.f64))
(/.f64 #s(literal 1/4 binary64) (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))))
(log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) (-.f64 (log1p.f64 (neg.f64 (exp.f64 (*.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)) #s(literal -2 binary64))))) (log1p.f64 (exp.f64 (*.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)) #s(literal -2 binary64)))))))
(*.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)) #s(literal -2 binary64))
(/.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) (-.f64 (log1p.f64 (neg.f64 (exp.f64 (*.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)) #s(literal -2 binary64))))) (log1p.f64 (exp.f64 (*.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)) #s(literal -2 binary64))))))
(*.f64 (PI.f64) #s(literal 1/4 binary64))
(*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)
(*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))
(sqrt.f64 (PI.f64))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 #s(literal 2 binary64) (*.f64 f (*.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))) #s(literal 1/2 binary64))))))
(*.f64 f (*.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))) #s(literal 1/2 binary64)))
(log1p.f64 (neg.f64 (exp.f64 (*.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)) #s(literal -2 binary64)))))
Outputs
(+.f64 (/.f64 (log1p.f64 (exp.f64 (*.f64 (PI.f64) (*.f64 f #s(literal -1/2 binary64))))) (*.f64 (PI.f64) #s(literal 1/4 binary64))) (/.f64 (neg.f64 (log1p.f64 (exp.f64 (*.f64 (PI.f64) (*.f64 f #s(literal -1/2 binary64)))))) (*.f64 (PI.f64) #s(literal 1/4 binary64))))
(+.f64 (/.f64 (log1p.f64 (exp.f64 (*.f64 (PI.f64) (*.f64 f #s(literal -1/2 binary64))))) (*.f64 (PI.f64) #s(literal 1/4 binary64))) (neg.f64 (/.f64 (log1p.f64 (exp.f64 (*.f64 (PI.f64) (*.f64 f #s(literal -1/2 binary64))))) (*.f64 (PI.f64) #s(literal 1/4 binary64)))))
(+.f64 (*.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (log1p.f64 (exp.f64 (*.f64 (PI.f64) (*.f64 f #s(literal -1/2 binary64)))))) (*.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (neg.f64 (log1p.f64 (exp.f64 (*.f64 (PI.f64) (*.f64 f #s(literal -1/2 binary64))))))))
(exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))))) #s(literal -1 binary64)))
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simplify381.0ms (2%)

Memory
20.4MiB live, 375.6MiB allocated
Algorithm
1×egg-herbie
Rules
5 448×lower-fma.f64
5 448×lower-fma.f32
4 350×lower-*.f64
4 350×lower-*.f32
2 260×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04025742
113134905
257884090
084373930
Stop Event
1×iter limit
1×node limit
Counts
216 → 216
Calls
Call 1
Inputs
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(+ (* 1/4 (/ (PI) (- (+ (log f) (log (neg (* -1/2 (PI))))) (log 2)))) (* (pow f 2) (+ (* -1/4 (/ (* (PI) (- (* 1/2 (+ (* -1/16 (pow (PI) 2)) (* 1/12 (pow (PI) 2)))) (* 1/2 (+ (* -1/16 (pow (PI) 2)) (* 1/8 (pow (PI) 2)))))) (pow (- (+ (log f) (log (neg (* -1/2 (PI))))) (log 2)) 2))) (* f (+ (* -1/4 (* f (+ (* -1 (/ (* (PI) (pow (- (* 1/2 (+ (* -1/16 (pow (PI) 2)) (* 1/12 (pow (PI) 2)))) (* 1/2 (+ (* -1/16 (pow (PI) 2)) (* 1/8 (pow (PI) 2))))) 2)) (pow (- (+ (log f) (log (neg (* -1/2 (PI))))) (log 2)) 3))) (/ (* (PI) (- (* 1/24 (+ (* -1/32 (pow (PI) 4)) (+ (* -3/128 (pow (PI) 4)) (+ (* -1/48 (pow (PI) 4)) (+ (* 1/80 (pow (PI) 4)) (* 1/16 (pow (PI) 4))))))) (* 1/24 (+ (* -1/16 (pow (PI) 4)) (+ (* -3/64 (pow (PI) 4)) (+ (* -3/128 (pow (PI) 4)) (+ (* 1/32 (pow (PI) 4)) (* 3/32 (pow (PI) 4))))))))) (pow (- (+ (log f) (log (neg (* -1/2 (PI))))) (log 2)) 2))))) (* -1/4 (/ (* (PI) (- (* 1/6 (+ (* -1/16 (pow (PI) 3)) (* 1/16 (pow (PI) 3)))) (* 1/6 (+ (* -1/16 (pow (PI) 3)) (+ (* -1/32 (pow (PI) 3)) (* 3/32 (pow (PI) 3))))))) (pow (- (+ (log f) (log (neg (* -1/2 (PI))))) (log 2)) 2))))))))
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(* 1/4 (* f (PI)))
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(* 4 (/ (+ (log (/ 4 (PI))) (* -1 (log f))) (PI)))
(* 4 (/ (+ (log (/ 4 (PI))) (* -1 (log f))) (PI)))
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(* 4 (/ (+ (log (/ 1 f)) (log (/ 4 (PI)))) (PI)))
(* 4 (/ (+ (log (/ -4 (PI))) (log (/ -1 f))) (PI)))
(* 4 (/ (+ (log (/ -4 (PI))) (log (/ -1 f))) (PI)))
(* 4 (/ (+ (log (/ -4 (PI))) (log (/ -1 f))) (PI)))
(* 4 (/ (+ (log (/ -4 (PI))) (log (/ -1 f))) (PI)))
(* 1/2 (* f (PI)))
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(+ (log f) (+ (log (neg (* -1/2 (PI)))) (* f (+ (* -1/4 (PI)) (* f (+ (* 1/6 (* f (+ (* -1/16 (pow (PI) 3)) (* 1/16 (pow (PI) 3))))) (* 1/2 (+ (* -1/16 (pow (PI) 2)) (* 1/12 (pow (PI) 2))))))))))
(log (- 1 (exp (* -1/2 (* f (PI))))))
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Outputs
(* 4 (/ (+ (log f) (log (* 1/4 (PI)))) (PI)))
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(+ (* -1/4 (/ (* (pow f 2) (* (PI) (- (* 1/2 (+ (* -1/16 (pow (PI) 2)) (* 1/12 (pow (PI) 2)))) (* 1/2 (+ (* -1/16 (pow (PI) 2)) (* 1/8 (pow (PI) 2))))))) (pow (- (+ (log f) (log (neg (* -1/2 (PI))))) (log 2)) 2))) (* 1/4 (/ (PI) (- (+ (log f) (log (neg (* -1/2 (PI))))) (log 2)))))
(fma.f64 #s(literal 1/4 binary64) (/.f64 (PI.f64) (+.f64 (log.f64 f) (-.f64 (log.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) (log.f64 #s(literal 2 binary64))))) (/.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 f (*.f64 f (PI.f64)))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal -1/48 binary64))) (pow.f64 (+.f64 (log.f64 f) (-.f64 (log.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) (log.f64 #s(literal 2 binary64)))) #s(literal 2 binary64))))
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(+ (* 1/4 (/ (PI) (- (+ (log f) (log (neg (* -1/2 (PI))))) (log 2)))) (* (pow f 2) (+ (* -1/4 (/ (* (PI) (- (* 1/2 (+ (* -1/16 (pow (PI) 2)) (* 1/12 (pow (PI) 2)))) (* 1/2 (+ (* -1/16 (pow (PI) 2)) (* 1/8 (pow (PI) 2)))))) (pow (- (+ (log f) (log (neg (* -1/2 (PI))))) (log 2)) 2))) (* f (+ (* -1/4 (* f (+ (* -1 (/ (* (PI) (pow (- (* 1/2 (+ (* -1/16 (pow (PI) 2)) (* 1/12 (pow (PI) 2)))) (* 1/2 (+ (* -1/16 (pow (PI) 2)) (* 1/8 (pow (PI) 2))))) 2)) (pow (- (+ (log f) (log (neg (* -1/2 (PI))))) (log 2)) 3))) (/ (* (PI) (- (* 1/24 (+ (* -1/32 (pow (PI) 4)) (+ (* -3/128 (pow (PI) 4)) (+ (* -1/48 (pow (PI) 4)) (+ (* 1/80 (pow (PI) 4)) (* 1/16 (pow (PI) 4))))))) (* 1/24 (+ (* -1/16 (pow (PI) 4)) (+ (* -3/64 (pow (PI) 4)) (+ (* -3/128 (pow (PI) 4)) (+ (* 1/32 (pow (PI) 4)) (* 3/32 (pow (PI) 4))))))))) (pow (- (+ (log f) (log (neg (* -1/2 (PI))))) (log 2)) 2))))) (* -1/4 (/ (* (PI) (- (* 1/6 (+ (* -1/16 (pow (PI) 3)) (* 1/16 (pow (PI) 3)))) (* 1/6 (+ (* -1/16 (pow (PI) 3)) (+ (* -1/32 (pow (PI) 3)) (* 3/32 (pow (PI) 3))))))) (pow (- (+ (log f) (log (neg (* -1/2 (PI))))) (log 2)) 2))))))))
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(* 1/4 (/ (PI) (- (log (- 1 (exp (* -1/2 (* f (PI)))))) (log (+ 1 (exp (* -1/2 (* f (PI)))))))))
(/.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (-.f64 (log1p.f64 (neg.f64 (exp.f64 (*.f64 f (*.f64 (PI.f64) #s(literal -1/2 binary64)))))) (log1p.f64 (exp.f64 (*.f64 f (*.f64 (PI.f64) #s(literal -1/2 binary64)))))))
(* 1/4 (/ (PI) (- (log (- 1 (exp (* -1/2 (* f (PI)))))) (log (+ 1 (exp (* -1/2 (* f (PI)))))))))
(/.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (-.f64 (log1p.f64 (neg.f64 (exp.f64 (*.f64 f (*.f64 (PI.f64) #s(literal -1/2 binary64)))))) (log1p.f64 (exp.f64 (*.f64 f (*.f64 (PI.f64) #s(literal -1/2 binary64)))))))
(* 1/4 (/ (PI) (- (log (- 1 (exp (* -1/2 (* f (PI)))))) (log (+ 1 (exp (* -1/2 (* f (PI)))))))))
(/.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (-.f64 (log1p.f64 (neg.f64 (exp.f64 (*.f64 f (*.f64 (PI.f64) #s(literal -1/2 binary64)))))) (log1p.f64 (exp.f64 (*.f64 f (*.f64 (PI.f64) #s(literal -1/2 binary64)))))))
(* 1/4 (/ (PI) (- (log (- 1 (exp (* -1/2 (* f (PI)))))) (log (+ 1 (exp (* -1/2 (* f (PI)))))))))
(/.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (-.f64 (log1p.f64 (neg.f64 (exp.f64 (*.f64 f (*.f64 (PI.f64) #s(literal -1/2 binary64)))))) (log1p.f64 (exp.f64 (*.f64 f (*.f64 (PI.f64) #s(literal -1/2 binary64)))))))
(* 1/4 (/ (PI) (- (log (- 1 (exp (* -1/2 (* f (PI)))))) (log (+ 1 (exp (* -1/2 (* f (PI)))))))))
(/.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (-.f64 (log1p.f64 (neg.f64 (exp.f64 (*.f64 f (*.f64 (PI.f64) #s(literal -1/2 binary64)))))) (log1p.f64 (exp.f64 (*.f64 f (*.f64 (PI.f64) #s(literal -1/2 binary64)))))))
(* 1/4 (/ (PI) (- (log (- 1 (exp (* -1/2 (* f (PI)))))) (log (+ 1 (exp (* -1/2 (* f (PI)))))))))
(/.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (-.f64 (log1p.f64 (neg.f64 (exp.f64 (*.f64 f (*.f64 (PI.f64) #s(literal -1/2 binary64)))))) (log1p.f64 (exp.f64 (*.f64 f (*.f64 (PI.f64) #s(literal -1/2 binary64)))))))
(* 1/4 (/ (PI) (- (log (- 1 (exp (* -1/2 (* f (PI)))))) (log (+ 1 (exp (* -1/2 (* f (PI)))))))))
(/.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (-.f64 (log1p.f64 (neg.f64 (exp.f64 (*.f64 f (*.f64 (PI.f64) #s(literal -1/2 binary64)))))) (log1p.f64 (exp.f64 (*.f64 f (*.f64 (PI.f64) #s(literal -1/2 binary64)))))))
(* 1/4 (/ (PI) (- (log (- 1 (exp (* -1/2 (* f (PI)))))) (log (+ 1 (exp (* -1/2 (* f (PI)))))))))
(/.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (-.f64 (log1p.f64 (neg.f64 (exp.f64 (*.f64 f (*.f64 (PI.f64) #s(literal -1/2 binary64)))))) (log1p.f64 (exp.f64 (*.f64 f (*.f64 (PI.f64) #s(literal -1/2 binary64)))))))
(* 1/4 (* f (PI)))
(*.f64 (PI.f64) (*.f64 f #s(literal 1/4 binary64)))
(* 1/4 (* f (PI)))
(*.f64 (PI.f64) (*.f64 f #s(literal 1/4 binary64)))
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(*.f64 (PI.f64) (*.f64 f #s(literal 1/4 binary64)))
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(*.f64 (PI.f64) (*.f64 f #s(literal 1/4 binary64)))
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(*.f64 (PI.f64) (*.f64 f #s(literal 1/4 binary64)))
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(*.f64 (PI.f64) (*.f64 f #s(literal 1/4 binary64)))
(* 1/4 (* f (PI)))
(*.f64 (PI.f64) (*.f64 f #s(literal 1/4 binary64)))
(* 1/4 (* f (PI)))
(*.f64 (PI.f64) (*.f64 f #s(literal 1/4 binary64)))
(* 1/4 (* f (PI)))
(*.f64 (PI.f64) (*.f64 f #s(literal 1/4 binary64)))
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(*.f64 (PI.f64) (*.f64 f #s(literal 1/4 binary64)))
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(*.f64 (PI.f64) (*.f64 f #s(literal 1/4 binary64)))
(* 1/4 (* f (PI)))
(*.f64 (PI.f64) (*.f64 f #s(literal 1/4 binary64)))
(* 1/4 (* f (PI)))
(*.f64 (PI.f64) (*.f64 f #s(literal 1/4 binary64)))
(* 1/4 (* f (PI)))
(*.f64 (PI.f64) (*.f64 f #s(literal 1/4 binary64)))
(* 1/4 (* f (PI)))
(*.f64 (PI.f64) (*.f64 f #s(literal 1/4 binary64)))
(* 1/4 (* f (PI)))
(*.f64 (PI.f64) (*.f64 f #s(literal 1/4 binary64)))
(* 1/4 (* f (PI)))
(*.f64 (PI.f64) (*.f64 f #s(literal 1/4 binary64)))
(* 1/4 (* f (PI)))
(*.f64 (PI.f64) (*.f64 f #s(literal 1/4 binary64)))
(* 1/4 (* f (PI)))
(*.f64 (PI.f64) (*.f64 f #s(literal 1/4 binary64)))
(* 1/4 (* f (PI)))
(*.f64 (PI.f64) (*.f64 f #s(literal 1/4 binary64)))
(* 1/4 (* f (PI)))
(*.f64 (PI.f64) (*.f64 f #s(literal 1/4 binary64)))
(* 1/4 (* f (PI)))
(*.f64 (PI.f64) (*.f64 f #s(literal 1/4 binary64)))
(* 1/4 (* f (PI)))
(*.f64 (PI.f64) (*.f64 f #s(literal 1/4 binary64)))
(* 1/4 (* f (PI)))
(*.f64 (PI.f64) (*.f64 f #s(literal 1/4 binary64)))
(* 4 (/ (+ (log (/ 4 (PI))) (* -1 (log f))) (PI)))
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (log.f64 f))) (PI.f64))
(* 4 (/ (+ (log (/ 4 (PI))) (* -1 (log f))) (PI)))
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (log.f64 f))) (PI.f64))
(* 4 (/ (+ (log (/ 4 (PI))) (* -1 (log f))) (PI)))
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (log.f64 f))) (PI.f64))
(* 4 (/ (+ (log (/ 4 (PI))) (* -1 (log f))) (PI)))
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (log.f64 f))) (PI.f64))
(* 4 (/ (+ (log (/ 1 f)) (log (/ 4 (PI)))) (PI)))
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (log.f64 f))) (PI.f64))
(* 4 (/ (+ (log (/ 1 f)) (log (/ 4 (PI)))) (PI)))
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (log.f64 f))) (PI.f64))
(* 4 (/ (+ (log (/ 1 f)) (log (/ 4 (PI)))) (PI)))
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (log.f64 f))) (PI.f64))
(* 4 (/ (+ (log (/ 1 f)) (log (/ 4 (PI)))) (PI)))
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (log.f64 f))) (PI.f64))
(* 4 (/ (+ (log (/ -4 (PI))) (log (/ -1 f))) (PI)))
(/.f64 (*.f64 #s(literal 4 binary64) (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) f)) (log.f64 (/.f64 #s(literal -4 binary64) (PI.f64))))) (PI.f64))
(* 4 (/ (+ (log (/ -4 (PI))) (log (/ -1 f))) (PI)))
(/.f64 (*.f64 #s(literal 4 binary64) (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) f)) (log.f64 (/.f64 #s(literal -4 binary64) (PI.f64))))) (PI.f64))
(* 4 (/ (+ (log (/ -4 (PI))) (log (/ -1 f))) (PI)))
(/.f64 (*.f64 #s(literal 4 binary64) (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) f)) (log.f64 (/.f64 #s(literal -4 binary64) (PI.f64))))) (PI.f64))
(* 4 (/ (+ (log (/ -4 (PI))) (log (/ -1 f))) (PI)))
(/.f64 (*.f64 #s(literal 4 binary64) (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) f)) (log.f64 (/.f64 #s(literal -4 binary64) (PI.f64))))) (PI.f64))
(* 1/2 (* f (PI)))
(*.f64 f (*.f64 (PI.f64) #s(literal 1/2 binary64)))
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(*.f64 f (*.f64 (PI.f64) #s(literal 1/2 binary64)))
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(*.f64 f (*.f64 (PI.f64) #s(literal 1/2 binary64)))
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(*.f64 f (*.f64 (PI.f64) #s(literal 1/2 binary64)))
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(*.f64 f (*.f64 (PI.f64) #s(literal 1/2 binary64)))
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(*.f64 f (*.f64 (PI.f64) #s(literal 1/2 binary64)))
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(*.f64 f (*.f64 (PI.f64) #s(literal 1/2 binary64)))
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(*.f64 f (*.f64 (PI.f64) #s(literal 1/2 binary64)))
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(*.f64 f (*.f64 (PI.f64) #s(literal 1/2 binary64)))
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(*.f64 f (*.f64 (PI.f64) #s(literal 1/2 binary64)))
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(+.f64 (log.f64 f) (fma.f64 f (fma.f64 f (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/96 binary64)) (*.f64 (PI.f64) #s(literal -1/4 binary64))) (log.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)))))
(+ (log f) (+ (log (neg (* -1/2 (PI)))) (* f (+ (* -1/4 (PI)) (* f (+ (* 1/6 (* f (+ (* -1/16 (pow (PI) 3)) (* 1/16 (pow (PI) 3))))) (* 1/2 (+ (* -1/16 (pow (PI) 2)) (* 1/12 (pow (PI) 2))))))))))
(+.f64 (log.f64 f) (fma.f64 f (fma.f64 f (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/96 binary64)) (*.f64 (PI.f64) #s(literal -1/4 binary64))) (log.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)))))
(log (- 1 (exp (* -1/2 (* f (PI))))))
(log1p.f64 (neg.f64 (exp.f64 (*.f64 f (*.f64 (PI.f64) #s(literal -1/2 binary64))))))
(log (- 1 (exp (* -1/2 (* f (PI))))))
(log1p.f64 (neg.f64 (exp.f64 (*.f64 f (*.f64 (PI.f64) #s(literal -1/2 binary64))))))
(log (- 1 (exp (* -1/2 (* f (PI))))))
(log1p.f64 (neg.f64 (exp.f64 (*.f64 f (*.f64 (PI.f64) #s(literal -1/2 binary64))))))
(log (- 1 (exp (* -1/2 (* f (PI))))))
(log1p.f64 (neg.f64 (exp.f64 (*.f64 f (*.f64 (PI.f64) #s(literal -1/2 binary64))))))
(log (- 1 (exp (* -1/2 (* f (PI))))))
(log1p.f64 (neg.f64 (exp.f64 (*.f64 f (*.f64 (PI.f64) #s(literal -1/2 binary64))))))
(log (- 1 (exp (* -1/2 (* f (PI))))))
(log1p.f64 (neg.f64 (exp.f64 (*.f64 f (*.f64 (PI.f64) #s(literal -1/2 binary64))))))
(log (- 1 (exp (* -1/2 (* f (PI))))))
(log1p.f64 (neg.f64 (exp.f64 (*.f64 f (*.f64 (PI.f64) #s(literal -1/2 binary64))))))
(log (- 1 (exp (* -1/2 (* f (PI))))))
(log1p.f64 (neg.f64 (exp.f64 (*.f64 f (*.f64 (PI.f64) #s(literal -1/2 binary64))))))

eval791.0ms (4.2%)

Memory
20.3MiB live, 634.6MiB allocated
Compiler

Compiled 86 032 to 8 903 computations (89.7% saved)

prune354.0ms (1.9%)

Memory
0.2MiB live, 606.5MiB allocated
Pruning

22 alts after pruning (20 fresh and 2 done)

PrunedKeptTotal
New3 272143 286
Fresh6612
Picked325
Done000
Total3 281223 303
Accuracy
99.9%
Counts
3 303 → 22
Alt Table
Click to see full alt table
StatusAccuracyProgram
97.0%
(fma.f64 f (*.f64 f (*.f64 (PI.f64) #s(literal -1/12 binary64))) (*.f64 (-.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (log.f64 f)) (/.f64 #s(literal -4 binary64) (PI.f64))))
▶8.9%
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (log1p.f64 (neg.f64 (exp.f64 (*.f64 f (*.f64 (PI.f64) #s(literal -1/2 binary64)))))) (log1p.f64 (exp.f64 (*.f64 f (*.f64 (PI.f64) #s(literal -1/2 binary64))))))) (PI.f64))
▶96.7%
(/.f64 (*.f64 #s(literal 4 binary64) (log.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (PI.f64))
8.9%
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (pow.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (sqrt.f64 (PI.f64))) #s(literal 1/3 binary64)) (cbrt.f64 (sqrt.f64 (PI.f64)))) #s(literal 1/4 binary64)) (-.f64 (log1p.f64 (neg.f64 (exp.f64 (*.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)) #s(literal -2 binary64))))) (log1p.f64 (exp.f64 (*.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)) #s(literal -2 binary64)))))))
8.8%
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) #s(literal 3 binary64))) #s(literal 1/4 binary64)) (-.f64 (log1p.f64 (neg.f64 (exp.f64 (*.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)) #s(literal -2 binary64))))) (log1p.f64 (exp.f64 (*.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)) #s(literal -2 binary64)))))))
8.9%
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))) #s(literal 1/4 binary64)) (-.f64 (log1p.f64 (neg.f64 (exp.f64 (*.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)) #s(literal -2 binary64))))) (log1p.f64 (exp.f64 (*.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)) #s(literal -2 binary64)))))))
8.9%
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) (-.f64 (log1p.f64 (neg.f64 (exp.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64)))) (*.f64 #s(literal 1/4 binary64) f)) #s(literal -2 binary64))))) (log1p.f64 (exp.f64 (*.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)) #s(literal -2 binary64)))))))
96.7%
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) (+.f64 (log.f64 f) (log.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64))))))
96.6%
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) (log.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))))
8.9%
(*.f64 (pow.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) #s(literal -1/2 binary64)) (*.f64 (pow.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) #s(literal -1/2 binary64)) (-.f64 (log1p.f64 (neg.f64 (exp.f64 (*.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)) #s(literal -2 binary64))))) (log1p.f64 (exp.f64 (*.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)) #s(literal -2 binary64)))))))
96.5%
(*.f64 (/.f64 (log.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)) (sqrt.f64 (PI.f64))) (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64))))
95.3%
(*.f64 (/.f64 #s(literal 4 binary64) (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)))) (log.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))))
96.7%
(*.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (-.f64 (log.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/2 binary64) f))) (log.f64 #s(literal 2 binary64))))
96.6%
(*.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (log.f64 (/.f64 f (/.f64 #s(literal 4 binary64) (PI.f64)))))
▶96.6%
(*.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (log.f64 (*.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))) (*.f64 #s(literal 1/4 binary64) f))))
✓96.6%
(*.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (log.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))))
✓97.8%
(*.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))))
96.2%
(*.f64 (*.f64 (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64)))) (log.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))))
96.6%
(neg.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/4 binary64) (/.f64 (log.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)) (neg.f64 (PI.f64))))))
95.4%
(neg.f64 (*.f64 (pow.f64 (pow.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) #s(literal -1/4 binary64)) #s(literal 4 binary64)) (+.f64 (log.f64 #s(literal 2 binary64)) (-.f64 (log.f64 (cosh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (log.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))))))))
▶96.9%
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (fma.f64 f (*.f64 f (fma.f64 (*.f64 #s(literal 1/192 binary64) (*.f64 #s(literal 2 binary64) (+.f64 (PI.f64) (PI.f64)))) #s(literal -2 binary64) (*.f64 #s(literal 1/16 binary64) (+.f64 (PI.f64) (PI.f64))))) (/.f64 #s(literal 4 binary64) (PI.f64))) f))))
▶97.4%
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))) (sinh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))))))
Compiler

Compiled 911 to 615 computations (32.5% saved)

simplify385.0ms (2%)

Memory
-16.7MiB live, 663.9MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(log1p.f64 (neg.f64 (exp.f64 (*.f64 f (*.f64 (PI.f64) #s(literal -1/2 binary64))))))
✓cost-diff0
(-.f64 (log1p.f64 (neg.f64 (exp.f64 (*.f64 f (*.f64 (PI.f64) #s(literal -1/2 binary64)))))) (log1p.f64 (exp.f64 (*.f64 f (*.f64 (PI.f64) #s(literal -1/2 binary64))))))
✓cost-diff0
(*.f64 #s(literal 4 binary64) (-.f64 (log1p.f64 (neg.f64 (exp.f64 (*.f64 f (*.f64 (PI.f64) #s(literal -1/2 binary64)))))) (log1p.f64 (exp.f64 (*.f64 f (*.f64 (PI.f64) #s(literal -1/2 binary64)))))))
✓cost-diff0
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (log1p.f64 (neg.f64 (exp.f64 (*.f64 f (*.f64 (PI.f64) #s(literal -1/2 binary64)))))) (log1p.f64 (exp.f64 (*.f64 f (*.f64 (PI.f64) #s(literal -1/2 binary64))))))) (PI.f64))
✓cost-diff192
(*.f64 #s(literal 2 binary64) (+.f64 (PI.f64) (PI.f64)))
✓cost-diff320
(*.f64 #s(literal 1/192 binary64) (*.f64 #s(literal 2 binary64) (+.f64 (PI.f64) (PI.f64))))
✓cost-diff704
(fma.f64 (*.f64 #s(literal 1/192 binary64) (*.f64 #s(literal 2 binary64) (+.f64 (PI.f64) (PI.f64)))) #s(literal -2 binary64) (*.f64 #s(literal 1/16 binary64) (+.f64 (PI.f64) (PI.f64))))
✓cost-diff704
(/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64)))
✓cost-diff0
(PI.f64)
✓cost-diff0
(/.f64 #s(literal 4 binary64) (PI.f64))
✓cost-diff0
(*.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (log.f64 (*.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))) (*.f64 #s(literal 1/4 binary64) f))))
✓cost-diff1600
(*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)))
✓cost-diff0
(*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)
✓cost-diff0
(log.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))
✓cost-diff0
(*.f64 #s(literal 4 binary64) (log.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))
✓cost-diff0
(/.f64 (*.f64 #s(literal 4 binary64) (log.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (PI.f64))
✓cost-diff128
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))) (sinh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))))))
✓cost-diff320
(/.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))))
✓cost-diff704
(/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64)))
✓cost-diff1024
(/.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))) (sinh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))))
Rules
15 320×lower-fma.f32
15 316×lower-fma.f64
5 454×lower-*.f32
5 418×lower-*.f64
4 884×lower-+.f32
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
054540
0102500
1202442
2540411
31773397
44371397
08651397
Stop Event
1×iter limit
1×node limit
1×iter limit
Calls
Call 1
Inputs
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))) (sinh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))))))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))) (sinh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))))))
(/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64)))
#s(literal 1 binary64)
(/.f64 (PI.f64) #s(literal 4 binary64))
(PI.f64)
#s(literal 4 binary64)
(log.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))) (sinh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))))
(/.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))) (sinh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))))
#s(literal 1/2 binary64)
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))) (sinh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))
(/.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))))
(*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))
#s(literal 2 binary64)
(cosh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))
(*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)
(*.f64 (PI.f64) #s(literal 1/4 binary64))
#s(literal 1/4 binary64)
f
(sinh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))
(/.f64 (*.f64 #s(literal 4 binary64) (log.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (PI.f64))
(*.f64 #s(literal 4 binary64) (log.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))
#s(literal 4 binary64)
(log.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))
(*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)
(*.f64 (PI.f64) #s(literal 1/4 binary64))
(PI.f64)
#s(literal 1/4 binary64)
f
(*.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (log.f64 (*.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))) (*.f64 #s(literal 1/4 binary64) f))))
(/.f64 #s(literal 4 binary64) (PI.f64))
#s(literal 4 binary64)
(PI.f64)
(log.f64 (*.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))) (*.f64 #s(literal 1/4 binary64) f)))
(*.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))) (*.f64 #s(literal 1/4 binary64) f))
(*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)))
(sqrt.f64 (PI.f64))
(*.f64 #s(literal 1/4 binary64) f)
#s(literal 1/4 binary64)
f
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (fma.f64 f (*.f64 f (fma.f64 (*.f64 #s(literal 1/192 binary64) (*.f64 #s(literal 2 binary64) (+.f64 (PI.f64) (PI.f64)))) #s(literal -2 binary64) (*.f64 #s(literal 1/16 binary64) (+.f64 (PI.f64) (PI.f64))))) (/.f64 #s(literal 4 binary64) (PI.f64))) f))))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (fma.f64 f (*.f64 f (fma.f64 (*.f64 #s(literal 1/192 binary64) (*.f64 #s(literal 2 binary64) (+.f64 (PI.f64) (PI.f64)))) #s(literal -2 binary64) (*.f64 #s(literal 1/16 binary64) (+.f64 (PI.f64) (PI.f64))))) (/.f64 #s(literal 4 binary64) (PI.f64))) f)))
(/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64)))
#s(literal 1 binary64)
(/.f64 (PI.f64) #s(literal 4 binary64))
(PI.f64)
#s(literal 4 binary64)
(log.f64 (/.f64 (fma.f64 f (*.f64 f (fma.f64 (*.f64 #s(literal 1/192 binary64) (*.f64 #s(literal 2 binary64) (+.f64 (PI.f64) (PI.f64)))) #s(literal -2 binary64) (*.f64 #s(literal 1/16 binary64) (+.f64 (PI.f64) (PI.f64))))) (/.f64 #s(literal 4 binary64) (PI.f64))) f))
(/.f64 (fma.f64 f (*.f64 f (fma.f64 (*.f64 #s(literal 1/192 binary64) (*.f64 #s(literal 2 binary64) (+.f64 (PI.f64) (PI.f64)))) #s(literal -2 binary64) (*.f64 #s(literal 1/16 binary64) (+.f64 (PI.f64) (PI.f64))))) (/.f64 #s(literal 4 binary64) (PI.f64))) f)
(fma.f64 f (*.f64 f (fma.f64 (*.f64 #s(literal 1/192 binary64) (*.f64 #s(literal 2 binary64) (+.f64 (PI.f64) (PI.f64)))) #s(literal -2 binary64) (*.f64 #s(literal 1/16 binary64) (+.f64 (PI.f64) (PI.f64))))) (/.f64 #s(literal 4 binary64) (PI.f64)))
f
(*.f64 f (fma.f64 (*.f64 #s(literal 1/192 binary64) (*.f64 #s(literal 2 binary64) (+.f64 (PI.f64) (PI.f64)))) #s(literal -2 binary64) (*.f64 #s(literal 1/16 binary64) (+.f64 (PI.f64) (PI.f64)))))
(fma.f64 (*.f64 #s(literal 1/192 binary64) (*.f64 #s(literal 2 binary64) (+.f64 (PI.f64) (PI.f64)))) #s(literal -2 binary64) (*.f64 #s(literal 1/16 binary64) (+.f64 (PI.f64) (PI.f64))))
(*.f64 #s(literal 1/192 binary64) (*.f64 #s(literal 2 binary64) (+.f64 (PI.f64) (PI.f64))))
#s(literal 1/192 binary64)
(*.f64 #s(literal 2 binary64) (+.f64 (PI.f64) (PI.f64)))
#s(literal 2 binary64)
(+.f64 (PI.f64) (PI.f64))
#s(literal -2 binary64)
(*.f64 #s(literal 1/16 binary64) (+.f64 (PI.f64) (PI.f64)))
#s(literal 1/16 binary64)
(/.f64 #s(literal 4 binary64) (PI.f64))
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (log1p.f64 (neg.f64 (exp.f64 (*.f64 f (*.f64 (PI.f64) #s(literal -1/2 binary64)))))) (log1p.f64 (exp.f64 (*.f64 f (*.f64 (PI.f64) #s(literal -1/2 binary64))))))) (PI.f64))
(*.f64 #s(literal 4 binary64) (-.f64 (log1p.f64 (neg.f64 (exp.f64 (*.f64 f (*.f64 (PI.f64) #s(literal -1/2 binary64)))))) (log1p.f64 (exp.f64 (*.f64 f (*.f64 (PI.f64) #s(literal -1/2 binary64)))))))
#s(literal 4 binary64)
(-.f64 (log1p.f64 (neg.f64 (exp.f64 (*.f64 f (*.f64 (PI.f64) #s(literal -1/2 binary64)))))) (log1p.f64 (exp.f64 (*.f64 f (*.f64 (PI.f64) #s(literal -1/2 binary64))))))
(log1p.f64 (neg.f64 (exp.f64 (*.f64 f (*.f64 (PI.f64) #s(literal -1/2 binary64))))))
(neg.f64 (exp.f64 (*.f64 f (*.f64 (PI.f64) #s(literal -1/2 binary64)))))
(exp.f64 (*.f64 f (*.f64 (PI.f64) #s(literal -1/2 binary64))))
(*.f64 f (*.f64 (PI.f64) #s(literal -1/2 binary64)))
f
(*.f64 (PI.f64) #s(literal -1/2 binary64))
(PI.f64)
#s(literal -1/2 binary64)
(log1p.f64 (exp.f64 (*.f64 f (*.f64 (PI.f64) #s(literal -1/2 binary64)))))
Outputs
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))) (sinh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))))))
(*.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (log.f64 (/.f64 (sinh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))) (cosh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))))))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))) (sinh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))))))
(*.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (log.f64 (/.f64 (cosh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))) (sinh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))))))
(/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64)))
(/.f64 #s(literal 4 binary64) (PI.f64))
#s(literal 1 binary64)
(/.f64 (PI.f64) #s(literal 4 binary64))
(PI.f64)
#s(literal 4 binary64)
(log.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))) (sinh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))))
(log.f64 (/.f64 (cosh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))) (sinh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))))
(/.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))) (sinh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))))
(/.f64 (cosh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))) (sinh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))))
#s(literal 1/2 binary64)
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))) (sinh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))
(/.f64 (sinh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))) (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))))
(/.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))))
(/.f64 #s(literal 1/2 binary64) (cosh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))))
(*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))
(*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))))
#s(literal 2 binary64)
(cosh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))
(cosh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))
(*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)
(*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))
(*.f64 (PI.f64) #s(literal 1/4 binary64))
#s(literal 1/4 binary64)
f
(sinh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))
(sinh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))
(/.f64 (*.f64 #s(literal 4 binary64) (log.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (PI.f64))
(*.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (log.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))))
(*.f64 #s(literal 4 binary64) (log.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))
(*.f64 #s(literal 4 binary64) (log.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))))
#s(literal 4 binary64)
(log.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))
(log.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))
(*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)
(*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))
(*.f64 (PI.f64) #s(literal 1/4 binary64))
(PI.f64)
#s(literal 1/4 binary64)
f
(*.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (log.f64 (*.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))) (*.f64 #s(literal 1/4 binary64) f))))
(*.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (log.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))))
(/.f64 #s(literal 4 binary64) (PI.f64))
#s(literal 4 binary64)
(PI.f64)
(log.f64 (*.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))) (*.f64 #s(literal 1/4 binary64) f)))
(log.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))
(*.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))) (*.f64 #s(literal 1/4 binary64) f))
(*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))
(*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)))
(PI.f64)
(sqrt.f64 (PI.f64))
(*.f64 #s(literal 1/4 binary64) f)
#s(literal 1/4 binary64)
f
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (fma.f64 f (*.f64 f (fma.f64 (*.f64 #s(literal 1/192 binary64) (*.f64 #s(literal 2 binary64) (+.f64 (PI.f64) (PI.f64)))) #s(literal -2 binary64) (*.f64 #s(literal 1/16 binary64) (+.f64 (PI.f64) (PI.f64))))) (/.f64 #s(literal 4 binary64) (PI.f64))) f))))
(*.f64 (log.f64 (/.f64 (fma.f64 f (*.f64 (*.f64 (PI.f64) f) #s(literal 1/12 binary64)) (/.f64 #s(literal 4 binary64) (PI.f64))) f)) (/.f64 #s(literal -4 binary64) (PI.f64)))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (fma.f64 f (*.f64 f (fma.f64 (*.f64 #s(literal 1/192 binary64) (*.f64 #s(literal 2 binary64) (+.f64 (PI.f64) (PI.f64)))) #s(literal -2 binary64) (*.f64 #s(literal 1/16 binary64) (+.f64 (PI.f64) (PI.f64))))) (/.f64 #s(literal 4 binary64) (PI.f64))) f)))
(*.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (log.f64 (/.f64 (fma.f64 f (*.f64 (*.f64 (PI.f64) f) #s(literal 1/12 binary64)) (/.f64 #s(literal 4 binary64) (PI.f64))) f)))
(/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64)))
(/.f64 #s(literal 4 binary64) (PI.f64))
#s(literal 1 binary64)
(/.f64 (PI.f64) #s(literal 4 binary64))
(PI.f64)
#s(literal 4 binary64)
(log.f64 (/.f64 (fma.f64 f (*.f64 f (fma.f64 (*.f64 #s(literal 1/192 binary64) (*.f64 #s(literal 2 binary64) (+.f64 (PI.f64) (PI.f64)))) #s(literal -2 binary64) (*.f64 #s(literal 1/16 binary64) (+.f64 (PI.f64) (PI.f64))))) (/.f64 #s(literal 4 binary64) (PI.f64))) f))
(log.f64 (/.f64 (fma.f64 f (*.f64 (*.f64 (PI.f64) f) #s(literal 1/12 binary64)) (/.f64 #s(literal 4 binary64) (PI.f64))) f))
(/.f64 (fma.f64 f (*.f64 f (fma.f64 (*.f64 #s(literal 1/192 binary64) (*.f64 #s(literal 2 binary64) (+.f64 (PI.f64) (PI.f64)))) #s(literal -2 binary64) (*.f64 #s(literal 1/16 binary64) (+.f64 (PI.f64) (PI.f64))))) (/.f64 #s(literal 4 binary64) (PI.f64))) f)
(/.f64 (fma.f64 f (*.f64 (*.f64 (PI.f64) f) #s(literal 1/12 binary64)) (/.f64 #s(literal 4 binary64) (PI.f64))) f)
(fma.f64 f (*.f64 f (fma.f64 (*.f64 #s(literal 1/192 binary64) (*.f64 #s(literal 2 binary64) (+.f64 (PI.f64) (PI.f64)))) #s(literal -2 binary64) (*.f64 #s(literal 1/16 binary64) (+.f64 (PI.f64) (PI.f64))))) (/.f64 #s(literal 4 binary64) (PI.f64)))
(fma.f64 f (*.f64 (*.f64 (PI.f64) f) #s(literal 1/12 binary64)) (/.f64 #s(literal 4 binary64) (PI.f64)))
f
(*.f64 f (fma.f64 (*.f64 #s(literal 1/192 binary64) (*.f64 #s(literal 2 binary64) (+.f64 (PI.f64) (PI.f64)))) #s(literal -2 binary64) (*.f64 #s(literal 1/16 binary64) (+.f64 (PI.f64) (PI.f64)))))
(*.f64 (*.f64 (PI.f64) f) #s(literal 1/12 binary64))
(fma.f64 (*.f64 #s(literal 1/192 binary64) (*.f64 #s(literal 2 binary64) (+.f64 (PI.f64) (PI.f64)))) #s(literal -2 binary64) (*.f64 #s(literal 1/16 binary64) (+.f64 (PI.f64) (PI.f64))))
(*.f64 (PI.f64) #s(literal 1/12 binary64))
(*.f64 #s(literal 1/192 binary64) (*.f64 #s(literal 2 binary64) (+.f64 (PI.f64) (PI.f64))))
(*.f64 (PI.f64) #s(literal 1/48 binary64))
#s(literal 1/192 binary64)
(*.f64 #s(literal 2 binary64) (+.f64 (PI.f64) (PI.f64)))
(*.f64 (PI.f64) #s(literal 4 binary64))
#s(literal 2 binary64)
(+.f64 (PI.f64) (PI.f64))
#s(literal -2 binary64)
(*.f64 #s(literal 1/16 binary64) (+.f64 (PI.f64) (PI.f64)))
(*.f64 (PI.f64) #s(literal 1/8 binary64))
#s(literal 1/16 binary64)
(/.f64 #s(literal 4 binary64) (PI.f64))
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (log1p.f64 (neg.f64 (exp.f64 (*.f64 f (*.f64 (PI.f64) #s(literal -1/2 binary64)))))) (log1p.f64 (exp.f64 (*.f64 f (*.f64 (PI.f64) #s(literal -1/2 binary64))))))) (PI.f64))
(*.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (-.f64 (log.f64 (neg.f64 (expm1.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (PI.f64) f))))) (log1p.f64 (exp.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (PI.f64) f))))))
(*.f64 #s(literal 4 binary64) (-.f64 (log1p.f64 (neg.f64 (exp.f64 (*.f64 f (*.f64 (PI.f64) #s(literal -1/2 binary64)))))) (log1p.f64 (exp.f64 (*.f64 f (*.f64 (PI.f64) #s(literal -1/2 binary64)))))))
(*.f64 #s(literal 4 binary64) (-.f64 (log.f64 (neg.f64 (expm1.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (PI.f64) f))))) (log1p.f64 (exp.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (PI.f64) f))))))
#s(literal 4 binary64)
(-.f64 (log1p.f64 (neg.f64 (exp.f64 (*.f64 f (*.f64 (PI.f64) #s(literal -1/2 binary64)))))) (log1p.f64 (exp.f64 (*.f64 f (*.f64 (PI.f64) #s(literal -1/2 binary64))))))
(-.f64 (log.f64 (neg.f64 (expm1.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (PI.f64) f))))) (log1p.f64 (exp.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (PI.f64) f)))))
(log1p.f64 (neg.f64 (exp.f64 (*.f64 f (*.f64 (PI.f64) #s(literal -1/2 binary64))))))
(log.f64 (neg.f64 (expm1.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (PI.f64) f)))))
(neg.f64 (exp.f64 (*.f64 f (*.f64 (PI.f64) #s(literal -1/2 binary64)))))
(neg.f64 (exp.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (PI.f64) f))))
(exp.f64 (*.f64 f (*.f64 (PI.f64) #s(literal -1/2 binary64))))
(exp.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (PI.f64) f)))
(*.f64 f (*.f64 (PI.f64) #s(literal -1/2 binary64)))
(*.f64 #s(literal -1/2 binary64) (*.f64 (PI.f64) f))
f
(*.f64 (PI.f64) #s(literal -1/2 binary64))
(PI.f64)
#s(literal -1/2 binary64)
(log1p.f64 (exp.f64 (*.f64 f (*.f64 (PI.f64) #s(literal -1/2 binary64)))))
(log1p.f64 (exp.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (PI.f64) f))))

localize456.0ms (2.4%)

Memory
38.5MiB live, 591.3MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
✓accuracy99.7%
(-.f64 (log1p.f64 (neg.f64 (exp.f64 (*.f64 f (*.f64 (PI.f64) #s(literal -1/2 binary64)))))) (log1p.f64 (exp.f64 (*.f64 f (*.f64 (PI.f64) #s(literal -1/2 binary64))))))
✓accuracy99.6%
(*.f64 f (*.f64 (PI.f64) #s(literal -1/2 binary64)))
✓accuracy99.4%
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (log1p.f64 (neg.f64 (exp.f64 (*.f64 f (*.f64 (PI.f64) #s(literal -1/2 binary64)))))) (log1p.f64 (exp.f64 (*.f64 f (*.f64 (PI.f64) #s(literal -1/2 binary64))))))) (PI.f64))
✓accuracy9.0%
(log1p.f64 (neg.f64 (exp.f64 (*.f64 f (*.f64 (PI.f64) #s(literal -1/2 binary64))))))
✓accuracy99.3%
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (fma.f64 f (*.f64 f (fma.f64 (*.f64 #s(literal 1/192 binary64) (*.f64 #s(literal 2 binary64) (+.f64 (PI.f64) (PI.f64)))) #s(literal -2 binary64) (*.f64 #s(literal 1/16 binary64) (+.f64 (PI.f64) (PI.f64))))) (/.f64 #s(literal 4 binary64) (PI.f64))) f)))
✓accuracy99.0%
(*.f64 f (fma.f64 (*.f64 #s(literal 1/192 binary64) (*.f64 #s(literal 2 binary64) (+.f64 (PI.f64) (PI.f64)))) #s(literal -2 binary64) (*.f64 #s(literal 1/16 binary64) (+.f64 (PI.f64) (PI.f64)))))
✓accuracy98.4%
(fma.f64 (*.f64 #s(literal 1/192 binary64) (*.f64 #s(literal 2 binary64) (+.f64 (PI.f64) (PI.f64)))) #s(literal -2 binary64) (*.f64 #s(literal 1/16 binary64) (+.f64 (PI.f64) (PI.f64))))
✓accuracy98.4%
(*.f64 #s(literal 1/192 binary64) (*.f64 #s(literal 2 binary64) (+.f64 (PI.f64) (PI.f64))))
✓accuracy99.6%
(*.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))) (*.f64 #s(literal 1/4 binary64) f))
✓accuracy99.3%
(*.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (log.f64 (*.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))) (*.f64 #s(literal 1/4 binary64) f))))
✓accuracy98.4%
(*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)))
✓accuracy98.4%
(sqrt.f64 (PI.f64))
✓accuracy100.0%
(PI.f64)
✓accuracy100.0%
(log.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))
✓accuracy99.6%
(*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)
✓accuracy99.4%
(/.f64 (*.f64 #s(literal 4 binary64) (log.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (PI.f64))
✓accuracy99.6%
(/.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))) (sinh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))))
✓accuracy99.6%
(*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)
✓accuracy99.3%
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))) (sinh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))))))
✓accuracy98.5%
(log.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))) (sinh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))))
Samples
282.0ms235×1valid
8.0ms18×0valid
5.0ms3×2valid
Compiler

Compiled 542 to 58 computations (89.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 248.0ms
ival-mult: 91.0ms (36.6% of total)
ival-div: 51.0ms (20.5% of total)
ival-log: 23.0ms (9.3% of total)
adjust: 21.0ms (8.5% of total)
ival-log1p: 14.0ms (5.6% of total)
ival-exp: 11.0ms (4.4% of total)
ival-sinh: 7.0ms (2.8% of total)
ival-neg: 6.0ms (2.4% of total)
ival-add: 6.0ms (2.4% of total)
ival-cosh: 5.0ms (2% of total)
const: 4.0ms (1.6% of total)
ival-pi: 3.0ms (1.2% of total)
ival-sqrt: 3.0ms (1.2% of total)
ival-sub: 2.0ms (0.8% of total)
exact: 1.0ms (0.4% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series268.0ms (1.4%)

Memory
-6.0MiB live, 151.5MiB allocated
Counts
26 → 216
Calls
Call 1
Inputs
#<alt (/.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))) (sinh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))))>
#<alt (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64)))>
#<alt (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))))>
#<alt (neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))) (sinh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))))))>
#<alt (/.f64 (*.f64 #s(literal 4 binary64) (log.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (PI.f64))>
#<alt (*.f64 #s(literal 4 binary64) (log.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))>
#<alt (log.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))>
#<alt (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)>
#<alt (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)))>
#<alt (*.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (log.f64 (*.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))) (*.f64 #s(literal 1/4 binary64) f))))>
#<alt (/.f64 #s(literal 4 binary64) (PI.f64))>
#<alt (PI.f64)>
#<alt (fma.f64 (*.f64 #s(literal 1/192 binary64) (*.f64 #s(literal 2 binary64) (+.f64 (PI.f64) (PI.f64)))) #s(literal -2 binary64) (*.f64 #s(literal 1/16 binary64) (+.f64 (PI.f64) (PI.f64))))>
#<alt (*.f64 #s(literal 1/192 binary64) (*.f64 #s(literal 2 binary64) (+.f64 (PI.f64) (PI.f64))))>
#<alt (*.f64 #s(literal 2 binary64) (+.f64 (PI.f64) (PI.f64)))>
#<alt (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (log1p.f64 (neg.f64 (exp.f64 (*.f64 f (*.f64 (PI.f64) #s(literal -1/2 binary64)))))) (log1p.f64 (exp.f64 (*.f64 f (*.f64 (PI.f64) #s(literal -1/2 binary64))))))) (PI.f64))>
#<alt (*.f64 #s(literal 4 binary64) (-.f64 (log1p.f64 (neg.f64 (exp.f64 (*.f64 f (*.f64 (PI.f64) #s(literal -1/2 binary64)))))) (log1p.f64 (exp.f64 (*.f64 f (*.f64 (PI.f64) #s(literal -1/2 binary64)))))))>
#<alt (-.f64 (log1p.f64 (neg.f64 (exp.f64 (*.f64 f (*.f64 (PI.f64) #s(literal -1/2 binary64)))))) (log1p.f64 (exp.f64 (*.f64 f (*.f64 (PI.f64) #s(literal -1/2 binary64))))))>
#<alt (log1p.f64 (neg.f64 (exp.f64 (*.f64 f (*.f64 (PI.f64) #s(literal -1/2 binary64))))))>
#<alt (log.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))) (sinh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))))>
#<alt (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))) (sinh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))))))>
#<alt (sqrt.f64 (PI.f64))>
#<alt (*.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))) (*.f64 #s(literal 1/4 binary64) f))>
#<alt (*.f64 f (fma.f64 (*.f64 #s(literal 1/192 binary64) (*.f64 #s(literal 2 binary64) (+.f64 (PI.f64) (PI.f64)))) #s(literal -2 binary64) (*.f64 #s(literal 1/16 binary64) (+.f64 (PI.f64) (PI.f64)))))>
#<alt (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (fma.f64 f (*.f64 f (fma.f64 (*.f64 #s(literal 1/192 binary64) (*.f64 #s(literal 2 binary64) (+.f64 (PI.f64) (PI.f64)))) #s(literal -2 binary64) (*.f64 #s(literal 1/16 binary64) (+.f64 (PI.f64) (PI.f64))))) (/.f64 #s(literal 4 binary64) (PI.f64))) f)))>
#<alt (*.f64 f (*.f64 (PI.f64) #s(literal -1/2 binary64)))>
Outputs
#<alt (/ 4 (* f (PI)))>
#<alt (/ (+ (* -8 (/ (* f (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2)))) (pow (PI) 2))) (* 4 (/ 1 (PI)))) f)>
#<alt (/ (+ (* f (- (* f (- (* 1/8 (PI)) (+ (* -16 (/ (pow (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) 2) (pow (PI) 3))) (* 8 (/ (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (+ (* -1/128 (pow (PI) 3)) (* 1/192 (pow (PI) 3)))) (pow (PI) 2)))))) (* 8 (/ (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) (pow (PI) 2))))) (* 4 (/ 1 (PI)))) f)>
#<alt (/ (+ (* f (- (* f (- (+ (* 1/8 (PI)) (* f (- (* -2 (/ (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (* -1/128 (pow (PI) 3))) (PI))) (+ (* -16 (/ (* (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (+ (* -1/128 (pow (PI) 3)) (* 1/192 (pow (PI) 3)))) (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2)))) (pow (PI) 3))) (+ (* 2 (/ (* (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) (- (* 1/8 (PI)) (+ (* -16 (/ (pow (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) 2) (pow (PI) 3))) (* 8 (/ (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (+ (* -1/128 (pow (PI) 3)) (* 1/192 (pow (PI) 3)))) (pow (PI) 2)))))) (PI))) (* 8 (/ (+ (* -1/4 (* (PI) (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (+ (* -1/128 (pow (PI) 3)) (* 1/384 (pow (PI) 3)))))) (+ (* -1/32 (* (pow (PI) 2) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (+ (* -1/1536 (pow (PI) 4)) (* 1/3072 (pow (PI) 4))))) (pow (PI) 2)))))))) (+ (* -16 (/ (pow (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) 2) (pow (PI) 3))) (* 8 (/ (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (+ (* -1/128 (pow (PI) 3)) (* 1/192 (pow (PI) 3)))) (pow (PI) 2)))))) (* 8 (/ (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) (pow (PI) 2))))) (* 4 (/ 1 (PI)))) f)>
#<alt (/ (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))>
#<alt (/ (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))>
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#<alt (+ (log (/ 4 (PI))) (+ (* -1 (log f)) (* f (+ (* -2 (/ (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) (PI))) (* f (+ (* 1/6 (* f (+ (* -16 (/ (pow (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) 3) (pow (PI) 3))) (+ (* 3/2 (* (PI) (- (* -2 (/ (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (* -1/128 (pow (PI) 3))) (PI))) (+ (* -16 (/ (* (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (+ (* -1/128 (pow (PI) 3)) (* 1/192 (pow (PI) 3)))) (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2)))) (pow (PI) 3))) (+ (* 2 (/ (* (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) (- (* 1/8 (PI)) (+ (* -16 (/ (pow (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) 2) (pow (PI) 3))) (* 8 (/ (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (+ (* -1/128 (pow (PI) 3)) (* 1/192 (pow (PI) 3)))) (pow (PI) 2)))))) (PI))) (* 8 (/ (+ (* -1/4 (* (PI) (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (+ (* -1/128 (pow (PI) 3)) (* 1/384 (pow (PI) 3)))))) (+ (* -1/32 (* (pow (PI) 2) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (+ (* -1/1536 (pow (PI) 4)) (* 1/3072 (pow (PI) 4))))) (pow (PI) 2)))))))) (* 3 (* (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) (- (* 1/8 (PI)) (+ (* -16 (/ (pow (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) 2) (pow (PI) 3))) (* 8 (/ (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (+ (* -1/128 (pow (PI) 3)) (* 1/192 (pow (PI) 3)))) (pow (PI) 2))))))))))) (* 1/2 (+ (* -4 (/ (pow (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) 2) (pow (PI) 2))) (* 1/2 (* (PI) (- (* 1/8 (PI)) (+ (* -16 (/ (pow (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) 2) (pow (PI) 3))) (* 8 (/ (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (+ (* -1/128 (pow (PI) 3)) (* 1/192 (pow (PI) 3)))) (pow (PI) 2)))))))))))))))>
#<alt (log (/ (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI))))))))>
#<alt (log (/ (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI))))))))>
#<alt (log (/ (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI))))))))>
#<alt (log (/ (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI))))))))>
#<alt (log (/ (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI))))))))>
#<alt (log (/ (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI))))))))>
#<alt (log (/ (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI))))))))>
#<alt (log (/ (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI))))))))>
#<alt (* 4 (/ (+ (log (/ 4 (PI))) (* -1 (log f))) (PI)))>
#<alt (+ (* -8 (/ (* f (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2)))) (pow (PI) 2))) (* 4 (/ (+ (log (/ 4 (PI))) (* -1 (log f))) (PI))))>
#<alt (+ (* 4 (/ (+ (log (/ 4 (PI))) (* -1 (log f))) (PI))) (* f (+ (* -8 (/ (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) (pow (PI) 2))) (* 2 (/ (* f (+ (* -4 (/ (pow (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) 2) (pow (PI) 2))) (* 1/2 (* (PI) (- (* 1/8 (PI)) (+ (* -16 (/ (pow (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) 2) (pow (PI) 3))) (* 8 (/ (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (+ (* -1/128 (pow (PI) 3)) (* 1/192 (pow (PI) 3)))) (pow (PI) 2))))))))) (PI))))))>
#<alt (+ (* 4 (/ (+ (log (/ 4 (PI))) (* -1 (log f))) (PI))) (* f (+ (* -8 (/ (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) (pow (PI) 2))) (* f (+ (* 2/3 (/ (* f (+ (* -16 (/ (pow (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) 3) (pow (PI) 3))) (+ (* 3/2 (* (PI) (- (* -2 (/ (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (* -1/128 (pow (PI) 3))) (PI))) (+ (* -16 (/ (* (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (+ (* -1/128 (pow (PI) 3)) (* 1/192 (pow (PI) 3)))) (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2)))) (pow (PI) 3))) (+ (* 2 (/ (* (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) (- (* 1/8 (PI)) (+ (* -16 (/ (pow (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) 2) (pow (PI) 3))) (* 8 (/ (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (+ (* -1/128 (pow (PI) 3)) (* 1/192 (pow (PI) 3)))) (pow (PI) 2)))))) (PI))) (* 8 (/ (+ (* -1/4 (* (PI) (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (+ (* -1/128 (pow (PI) 3)) (* 1/384 (pow (PI) 3)))))) (+ (* -1/32 (* (pow (PI) 2) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (+ (* -1/1536 (pow (PI) 4)) (* 1/3072 (pow (PI) 4))))) (pow (PI) 2)))))))) (* 3 (* (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) (- (* 1/8 (PI)) (+ (* -16 (/ (pow (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) 2) (pow (PI) 3))) (* 8 (/ (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (+ (* -1/128 (pow (PI) 3)) (* 1/192 (pow (PI) 3)))) (pow (PI) 2)))))))))) (PI))) (* 2 (/ (+ (* -4 (/ (pow (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) 2) (pow (PI) 2))) (* 1/2 (* (PI) (- (* 1/8 (PI)) (+ (* -16 (/ (pow (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) 2) (pow (PI) 3))) (* 8 (/ (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (+ (* -1/128 (pow (PI) 3)) (* 1/192 (pow (PI) 3)))) (pow (PI) 2)))))))) (PI))))))))>
#<alt (* 4 (/ (log (/ (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))) (PI)))>
#<alt (* 4 (/ (log (/ (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))) (PI)))>
#<alt (* 4 (/ (log (/ (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))) (PI)))>
#<alt (* 4 (/ (log (/ (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))) (PI)))>
#<alt (* 4 (/ (log (/ (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))) (PI)))>
#<alt (* 4 (/ (log (/ (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))) (PI)))>
#<alt (* 4 (/ (log (/ (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))) (PI)))>
#<alt (* 4 (/ (log (/ (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))) (PI)))>
#<alt (* 1/4 (* f (PI)))>
#<alt (* 1/4 (* f (PI)))>
#<alt (* 1/4 (* f (PI)))>
#<alt (* 1/4 (* f (PI)))>
#<alt (* 1/4 (* f (PI)))>
#<alt (* 1/4 (* f (PI)))>
#<alt (* 1/4 (* f (PI)))>
#<alt (* 1/4 (* f (PI)))>
#<alt (* 1/4 (* f (PI)))>
#<alt (* 1/4 (* f (PI)))>
#<alt (* 1/4 (* f (PI)))>
#<alt (* 1/4 (* f (PI)))>
#<alt (* f (+ (* -1/24 (PI)) (* 1/8 (PI))))>
#<alt (* f (+ (* -1/24 (PI)) (* 1/8 (PI))))>
#<alt (* f (+ (* -1/24 (PI)) (* 1/8 (PI))))>
#<alt (* f (+ (* -1/24 (PI)) (* 1/8 (PI))))>
#<alt (* f (+ (* -1/24 (PI)) (* 1/8 (PI))))>
#<alt (* f (+ (* -1/24 (PI)) (* 1/8 (PI))))>
#<alt (* f (+ (* -1/24 (PI)) (* 1/8 (PI))))>
#<alt (* f (+ (* -1/24 (PI)) (* 1/8 (PI))))>
#<alt (* f (+ (* -1/24 (PI)) (* 1/8 (PI))))>
#<alt (* f (+ (* -1/24 (PI)) (* 1/8 (PI))))>
#<alt (* f (+ (* -1/24 (PI)) (* 1/8 (PI))))>
#<alt (* f (+ (* -1/24 (PI)) (* 1/8 (PI))))>
#<alt (* 4 (/ (+ (log (/ 4 (PI))) (* -1 (log f))) (PI)))>
#<alt (+ (* 4 (/ (+ (log (/ 4 (PI))) (* -1 (log f))) (PI))) (* (pow f 2) (+ (* -1/24 (PI)) (* 1/8 (PI)))))>
#<alt (+ (* 4 (/ (+ (log (/ 4 (PI))) (* -1 (log f))) (PI))) (* (pow f 2) (+ (* -1/8 (* (pow f 2) (* (PI) (pow (+ (* -1/24 (PI)) (* 1/8 (PI))) 2)))) (+ (* -1/24 (PI)) (* 1/8 (PI))))))>
#<alt (+ (* 4 (/ (+ (log (/ 4 (PI))) (* -1 (log f))) (PI))) (* (pow f 2) (+ (* -1/24 (PI)) (+ (* 1/8 (PI)) (* (pow f 2) (+ (* -1/8 (* (PI) (pow (+ (* -1/24 (PI)) (* 1/8 (PI))) 2))) (* 1/48 (* (pow f 2) (* (pow (PI) 2) (pow (+ (* -1/24 (PI)) (* 1/8 (PI))) 3))))))))))>
#<alt (* 4 (/ (+ (log (+ (* -1/24 (PI)) (* 1/8 (PI)))) (* -1 (log (/ 1 f)))) (PI)))>
#<alt (+ (* 4 (/ (+ (log (+ (* -1/24 (PI)) (* 1/8 (PI)))) (* -1 (log (/ 1 f)))) (PI))) (* 16 (/ 1 (* (pow f 2) (* (pow (PI) 2) (+ (* -1/24 (PI)) (* 1/8 (PI))))))))>
#<alt (- (+ (* 4 (/ (+ (log (+ (* -1/24 (PI)) (* 1/8 (PI)))) (* -1 (log (/ 1 f)))) (PI))) (/ 16 (* (pow f 2) (* (pow (PI) 2) (+ (* -1/24 (PI)) (* 1/8 (PI))))))) (/ 32 (* (pow f 4) (* (pow (PI) 3) (pow (+ (* -1/24 (PI)) (* 1/8 (PI))) 2)))))>
#<alt (- (+ (* 4 (/ (+ (log (+ (* -1/24 (PI)) (* 1/8 (PI)))) (* -1 (log (/ 1 f)))) (PI))) (+ (* 256/3 (/ 1 (* (pow f 6) (* (pow (PI) 4) (pow (+ (* -1/24 (PI)) (* 1/8 (PI))) 3))))) (/ 16 (* (pow f 2) (* (pow (PI) 2) (+ (* -1/24 (PI)) (* 1/8 (PI)))))))) (* 32 (/ 1 (* (pow f 4) (* (pow (PI) 3) (pow (+ (* -1/24 (PI)) (* 1/8 (PI))) 2))))))>
#<alt (* 4 (/ (+ (log (* -1 (+ (* -1/24 (PI)) (* 1/8 (PI))))) (* -1 (log (/ -1 f)))) (PI)))>
#<alt (+ (* 4 (/ (+ (log (* -1 (+ (* -1/24 (PI)) (* 1/8 (PI))))) (* -1 (log (/ -1 f)))) (PI))) (* 16 (/ 1 (* (pow f 2) (* (pow (PI) 2) (+ (* -1/24 (PI)) (* 1/8 (PI))))))))>
#<alt (- (+ (* 4 (/ (+ (log (* -1 (+ (* -1/24 (PI)) (* 1/8 (PI))))) (* -1 (log (/ -1 f)))) (PI))) (/ 16 (* (pow f 2) (* (pow (PI) 2) (+ (* -1/24 (PI)) (* 1/8 (PI))))))) (/ 32 (* (pow f 4) (* (pow (PI) 3) (pow (+ (* -1/24 (PI)) (* 1/8 (PI))) 2)))))>
#<alt (- (+ (* 4 (/ (+ (log (* -1 (+ (* -1/24 (PI)) (* 1/8 (PI))))) (* -1 (log (/ -1 f)))) (PI))) (+ (* 256/3 (/ 1 (* (pow f 6) (* (pow (PI) 4) (pow (+ (* -1/24 (PI)) (* 1/8 (PI))) 3))))) (/ 16 (* (pow f 2) (* (pow (PI) 2) (+ (* -1/24 (PI)) (* 1/8 (PI)))))))) (* 32 (/ 1 (* (pow f 4) (* (pow (PI) 3) (pow (+ (* -1/24 (PI)) (* 1/8 (PI))) 2))))))>
#<alt (* -1/2 (* f (PI)))>
#<alt (* -1/2 (* f (PI)))>
#<alt (* -1/2 (* f (PI)))>
#<alt (* -1/2 (* f (PI)))>
#<alt (* -1/2 (* f (PI)))>
#<alt (* -1/2 (* f (PI)))>
#<alt (* -1/2 (* f (PI)))>
#<alt (* -1/2 (* f (PI)))>
#<alt (* -1/2 (* f (PI)))>
#<alt (* -1/2 (* f (PI)))>
#<alt (* -1/2 (* f (PI)))>
#<alt (* -1/2 (* f (PI)))>
Calls

54 calls:

TimeVariablePointExpression
180.0ms
f
@inf
(neg (* (/ 1 (/ (PI) 4)) (log (/ 1/2 (* (/ 1 (* 2 (cosh (* (* (PI) 1/4) f)))) (sinh (* (* (PI) 1/4) f)))))))
49.0ms
f
@-inf
(neg (* (/ 1 (/ (PI) 4)) (log (/ 1/2 (* (/ 1 (* 2 (cosh (* (* (PI) 1/4) f)))) (sinh (* (* (PI) 1/4) f)))))))
16.0ms
f
@0
(log (/ 1/2 (* (/ 1 (* 2 (cosh (* (* (PI) 1/4) f)))) (sinh (* (* (PI) 1/4) f)))))
2.0ms
f
@0
(neg (* (/ 1 (/ (PI) 4)) (log (/ 1/2 (* (/ 1 (* 2 (cosh (* (* (PI) 1/4) f)))) (sinh (* (* (PI) 1/4) f)))))))
2.0ms
f
@inf
(* (/ 1 (/ (PI) 4)) (log (/ (+ (* f (* f (+ (* (* 1/192 (* 2 (+ (PI) (PI)))) -2) (* 1/16 (+ (PI) (PI)))))) (/ 4 (PI))) f)))

rewrite203.0ms (1.1%)

Memory
-22.3MiB live, 183.4MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
1 538×lower-*.f32
1 502×lower-*.f64
1 188×lower-fma.f32
1 184×lower-fma.f64
1 000×lower-/.f32
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
053309
0100271
1342246
02567246
Stop Event
1×iter limit
1×iter limit
1×node limit
1×iter limit
Counts
26 → 690
Calls
Call 1
Inputs
(/.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))) (sinh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))))
(/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64)))
(/.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))))
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))) (sinh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))))))
(/.f64 (*.f64 #s(literal 4 binary64) (log.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (PI.f64))
(*.f64 #s(literal 4 binary64) (log.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))
(log.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))
(*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)
(*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)))
(*.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (log.f64 (*.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))) (*.f64 #s(literal 1/4 binary64) f))))
(/.f64 #s(literal 4 binary64) (PI.f64))
(PI.f64)
(fma.f64 (*.f64 #s(literal 1/192 binary64) (*.f64 #s(literal 2 binary64) (+.f64 (PI.f64) (PI.f64)))) #s(literal -2 binary64) (*.f64 #s(literal 1/16 binary64) (+.f64 (PI.f64) (PI.f64))))
(*.f64 #s(literal 1/192 binary64) (*.f64 #s(literal 2 binary64) (+.f64 (PI.f64) (PI.f64))))
(*.f64 #s(literal 2 binary64) (+.f64 (PI.f64) (PI.f64)))
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (log1p.f64 (neg.f64 (exp.f64 (*.f64 f (*.f64 (PI.f64) #s(literal -1/2 binary64)))))) (log1p.f64 (exp.f64 (*.f64 f (*.f64 (PI.f64) #s(literal -1/2 binary64))))))) (PI.f64))
(*.f64 #s(literal 4 binary64) (-.f64 (log1p.f64 (neg.f64 (exp.f64 (*.f64 f (*.f64 (PI.f64) #s(literal -1/2 binary64)))))) (log1p.f64 (exp.f64 (*.f64 f (*.f64 (PI.f64) #s(literal -1/2 binary64)))))))
(-.f64 (log1p.f64 (neg.f64 (exp.f64 (*.f64 f (*.f64 (PI.f64) #s(literal -1/2 binary64)))))) (log1p.f64 (exp.f64 (*.f64 f (*.f64 (PI.f64) #s(literal -1/2 binary64))))))
(log1p.f64 (neg.f64 (exp.f64 (*.f64 f (*.f64 (PI.f64) #s(literal -1/2 binary64))))))
(log.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))) (sinh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))) (sinh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))))))
(sqrt.f64 (PI.f64))
(*.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))) (*.f64 #s(literal 1/4 binary64) f))
(*.f64 f (fma.f64 (*.f64 #s(literal 1/192 binary64) (*.f64 #s(literal 2 binary64) (+.f64 (PI.f64) (PI.f64)))) #s(literal -2 binary64) (*.f64 #s(literal 1/16 binary64) (+.f64 (PI.f64) (PI.f64)))))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (fma.f64 f (*.f64 f (fma.f64 (*.f64 #s(literal 1/192 binary64) (*.f64 #s(literal 2 binary64) (+.f64 (PI.f64) (PI.f64)))) #s(literal -2 binary64) (*.f64 #s(literal 1/16 binary64) (+.f64 (PI.f64) (PI.f64))))) (/.f64 #s(literal 4 binary64) (PI.f64))) f)))
(*.f64 f (*.f64 (PI.f64) #s(literal -1/2 binary64)))
Outputs
(neg.f64 (/.f64 #s(literal -1/2 binary64) (/.f64 (sinh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))) (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))))))
(/.f64 #s(literal 1/2 binary64) (/.f64 (sinh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))) (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))))))
(/.f64 #s(literal 1/2 binary64) (neg.f64 (/.f64 (sinh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))) (*.f64 (cosh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))) #s(literal -2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (sinh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))) (*.f64 #s(literal 1 binary64) (cosh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (sinh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))) (*.f64 #s(literal 1 binary64) (cosh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))))) #s(literal 1 binary64)))
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(*.f64 (sqrt.f64 (sqrt.f64 (PI.f64))) (sqrt.f64 (sqrt.f64 (PI.f64))))
(*.f64 (sqrt.f64 (cbrt.f64 (*.f64 (PI.f64) (PI.f64)))) (sqrt.f64 (cbrt.f64 (PI.f64))))
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(*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))
(*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f))
(*.f64 f (*.f64 (PI.f64) #s(literal 1/4 binary64)))
(*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)
(*.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) (*.f64 #s(literal 1/4 binary64) f)))
(*.f64 (*.f64 #s(literal 1/4 binary64) f) (PI.f64))
(*.f64 (cbrt.f64 (*.f64 (PI.f64) (PI.f64))) (*.f64 (cbrt.f64 (PI.f64)) (*.f64 #s(literal 1/4 binary64) f)))
(*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64))
(*.f64 (*.f64 (sqrt.f64 (PI.f64)) (*.f64 #s(literal 1/4 binary64) f)) (sqrt.f64 (PI.f64)))
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(*.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) f) (cbrt.f64 (*.f64 (PI.f64) (PI.f64)))) (cbrt.f64 (PI.f64)))
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(fma.f64 f (+.f64 (PI.f64) (PI.f64)) (*.f64 f (*.f64 (+.f64 (PI.f64) (PI.f64)) #s(literal -2 binary64))))
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(fma.f64 #s(literal 1/192 binary64) (*.f64 f (*.f64 (+.f64 (PI.f64) (PI.f64)) #s(literal -2 binary64))) (*.f64 f (+.f64 (PI.f64) (PI.f64))))
(fma.f64 (+.f64 (PI.f64) (PI.f64)) f (*.f64 f (*.f64 (+.f64 (PI.f64) (PI.f64)) #s(literal -2 binary64))))
(fma.f64 (+.f64 (PI.f64) (PI.f64)) (*.f64 #s(literal -2 binary64) f) (*.f64 f (+.f64 (PI.f64) (PI.f64))))
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(fma.f64 #s(literal -2 binary64) (*.f64 f (+.f64 (PI.f64) (PI.f64))) (*.f64 f (+.f64 (PI.f64) (PI.f64))))
(fma.f64 #s(literal 1/16 binary64) (*.f64 f (+.f64 (PI.f64) (PI.f64))) (*.f64 f (*.f64 (+.f64 (PI.f64) (PI.f64)) #s(literal -2 binary64))))
(fma.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) #s(literal -2 binary64)) f (*.f64 f (+.f64 (PI.f64) (PI.f64))))
(fma.f64 (*.f64 f (+.f64 (PI.f64) (PI.f64))) #s(literal -2 binary64) (*.f64 f (+.f64 (PI.f64) (PI.f64))))
(fma.f64 (*.f64 f (+.f64 (PI.f64) (PI.f64))) #s(literal 1/16 binary64) (*.f64 f (*.f64 (+.f64 (PI.f64) (PI.f64)) #s(literal -2 binary64))))
(fma.f64 (*.f64 f #s(literal 1/192 binary64)) (*.f64 (+.f64 (PI.f64) (PI.f64)) #s(literal -2 binary64)) (*.f64 f (+.f64 (PI.f64) (PI.f64))))
(fma.f64 (*.f64 f #s(literal -2 binary64)) (+.f64 (PI.f64) (PI.f64)) (*.f64 f (+.f64 (PI.f64) (PI.f64))))
(fma.f64 (*.f64 f #s(literal 1/16 binary64)) (+.f64 (PI.f64) (PI.f64)) (*.f64 f (*.f64 (+.f64 (PI.f64) (PI.f64)) #s(literal -2 binary64))))
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(/.f64 (-.f64 (*.f64 (*.f64 f (*.f64 (+.f64 (PI.f64) (PI.f64)) #s(literal -2 binary64))) (*.f64 f (*.f64 (+.f64 (PI.f64) (PI.f64)) #s(literal -2 binary64)))) (*.f64 (*.f64 f (+.f64 (PI.f64) (PI.f64))) (*.f64 f (+.f64 (PI.f64) (PI.f64))))) (-.f64 (*.f64 f (*.f64 (+.f64 (PI.f64) (PI.f64)) #s(literal -2 binary64))) (*.f64 f (+.f64 (PI.f64) (PI.f64)))))
(/.f64 (*.f64 f (fma.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) (*.f64 (+.f64 (PI.f64) (PI.f64)) (+.f64 (PI.f64) (PI.f64)))) #s(literal -8 binary64) (*.f64 (+.f64 (PI.f64) (PI.f64)) (*.f64 (+.f64 (PI.f64) (PI.f64)) (+.f64 (PI.f64) (PI.f64)))))) (fma.f64 (+.f64 (PI.f64) (PI.f64)) (-.f64 (+.f64 (PI.f64) (PI.f64)) (*.f64 (+.f64 (PI.f64) (PI.f64)) #s(literal -2 binary64))) (*.f64 #s(literal 4 binary64) (*.f64 (+.f64 (PI.f64) (PI.f64)) (+.f64 (PI.f64) (PI.f64))))))
(/.f64 (*.f64 f (-.f64 (*.f64 #s(literal 4 binary64) (*.f64 (+.f64 (PI.f64) (PI.f64)) (+.f64 (PI.f64) (PI.f64)))) (*.f64 (+.f64 (PI.f64) (PI.f64)) (+.f64 (PI.f64) (PI.f64))))) (-.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) #s(literal -2 binary64)) (+.f64 (PI.f64) (PI.f64))))
(/.f64 (*.f64 (fma.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) (*.f64 (+.f64 (PI.f64) (PI.f64)) (+.f64 (PI.f64) (PI.f64)))) #s(literal -8 binary64) (*.f64 (+.f64 (PI.f64) (PI.f64)) (*.f64 (+.f64 (PI.f64) (PI.f64)) (+.f64 (PI.f64) (PI.f64))))) f) (fma.f64 (+.f64 (PI.f64) (PI.f64)) (-.f64 (+.f64 (PI.f64) (PI.f64)) (*.f64 (+.f64 (PI.f64) (PI.f64)) #s(literal -2 binary64))) (*.f64 #s(literal 4 binary64) (*.f64 (+.f64 (PI.f64) (PI.f64)) (+.f64 (PI.f64) (PI.f64))))))
(/.f64 (*.f64 (-.f64 (*.f64 #s(literal 4 binary64) (*.f64 (+.f64 (PI.f64) (PI.f64)) (+.f64 (PI.f64) (PI.f64)))) (*.f64 (+.f64 (PI.f64) (PI.f64)) (+.f64 (PI.f64) (PI.f64)))) f) (-.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) #s(literal -2 binary64)) (+.f64 (PI.f64) (PI.f64))))
(*.f64 f (fma.f64 (+.f64 (PI.f64) (PI.f64)) #s(literal -2 binary64) (+.f64 (PI.f64) (PI.f64))))
(*.f64 (fma.f64 (+.f64 (PI.f64) (PI.f64)) #s(literal -2 binary64) (+.f64 (PI.f64) (PI.f64))) f)
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) (log.f64 (/.f64 (fma.f64 (fma.f64 (+.f64 (PI.f64) (PI.f64)) #s(literal -2 binary64) (+.f64 (PI.f64) (PI.f64))) (*.f64 f f) (/.f64 #s(literal 4 binary64) (PI.f64))) f))))
(/.f64 (log.f64 (/.f64 (fma.f64 (fma.f64 (+.f64 (PI.f64) (PI.f64)) #s(literal -2 binary64) (+.f64 (PI.f64) (PI.f64))) (*.f64 f f) (/.f64 #s(literal 4 binary64) (PI.f64))) f)) (*.f64 (PI.f64) #s(literal 1/4 binary64)))
(/.f64 (neg.f64 (log.f64 (/.f64 (fma.f64 (fma.f64 (+.f64 (PI.f64) (PI.f64)) #s(literal -2 binary64) (+.f64 (PI.f64) (PI.f64))) (*.f64 f f) (/.f64 #s(literal 4 binary64) (PI.f64))) f))) (*.f64 (PI.f64) #s(literal -1/4 binary64)))
(/.f64 (/.f64 (log.f64 (/.f64 (fma.f64 (fma.f64 (+.f64 (PI.f64) (PI.f64)) #s(literal -2 binary64) (+.f64 (PI.f64) (PI.f64))) (*.f64 f f) (/.f64 #s(literal 4 binary64) (PI.f64))) f)) #s(literal 1/4 binary64)) (PI.f64))
(/.f64 (/.f64 (log.f64 (/.f64 (fma.f64 (fma.f64 (+.f64 (PI.f64) (PI.f64)) #s(literal -2 binary64) (+.f64 (PI.f64) (PI.f64))) (*.f64 f f) (/.f64 #s(literal 4 binary64) (PI.f64))) f)) (PI.f64)) #s(literal 1/4 binary64))
(/.f64 (*.f64 (log.f64 (/.f64 (fma.f64 (fma.f64 (+.f64 (PI.f64) (PI.f64)) #s(literal -2 binary64) (+.f64 (PI.f64) (PI.f64))) (*.f64 f f) (/.f64 #s(literal 4 binary64) (PI.f64))) f)) #s(literal 4 binary64)) (PI.f64))
(/.f64 (*.f64 #s(literal 4 binary64) (log.f64 (/.f64 (fma.f64 (fma.f64 (+.f64 (PI.f64) (PI.f64)) #s(literal -2 binary64) (+.f64 (PI.f64) (PI.f64))) (*.f64 f f) (/.f64 #s(literal 4 binary64) (PI.f64))) f))) (PI.f64))
(/.f64 (*.f64 (log.f64 (/.f64 (fma.f64 (fma.f64 (+.f64 (PI.f64) (PI.f64)) #s(literal -2 binary64) (+.f64 (PI.f64) (PI.f64))) (*.f64 f f) (/.f64 #s(literal 4 binary64) (PI.f64))) f)) #s(literal -1 binary64)) (*.f64 (PI.f64) #s(literal -1/4 binary64)))
(/.f64 (*.f64 (log.f64 (/.f64 (fma.f64 (fma.f64 (+.f64 (PI.f64) (PI.f64)) #s(literal -2 binary64) (+.f64 (PI.f64) (PI.f64))) (*.f64 f f) (/.f64 #s(literal 4 binary64) (PI.f64))) f)) #s(literal -4 binary64)) (neg.f64 (PI.f64)))
(/.f64 (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 (fma.f64 (fma.f64 (+.f64 (PI.f64) (PI.f64)) #s(literal -2 binary64) (+.f64 (PI.f64) (PI.f64))) (*.f64 f f) (/.f64 #s(literal 4 binary64) (PI.f64))) f))) (*.f64 (PI.f64) #s(literal -1/4 binary64)))
(/.f64 (*.f64 #s(literal -4 binary64) (log.f64 (/.f64 (fma.f64 (fma.f64 (+.f64 (PI.f64) (PI.f64)) #s(literal -2 binary64) (+.f64 (PI.f64) (PI.f64))) (*.f64 f f) (/.f64 #s(literal 4 binary64) (PI.f64))) f))) (neg.f64 (PI.f64)))
(*.f64 #s(literal 1 binary64) (/.f64 (log.f64 (/.f64 (fma.f64 (fma.f64 (+.f64 (PI.f64) (PI.f64)) #s(literal -2 binary64) (+.f64 (PI.f64) (PI.f64))) (*.f64 f f) (/.f64 #s(literal 4 binary64) (PI.f64))) f)) (*.f64 (PI.f64) #s(literal 1/4 binary64))))
(*.f64 #s(literal 4 binary64) (/.f64 (log.f64 (/.f64 (fma.f64 (fma.f64 (+.f64 (PI.f64) (PI.f64)) #s(literal -2 binary64) (+.f64 (PI.f64) (PI.f64))) (*.f64 f f) (/.f64 #s(literal 4 binary64) (PI.f64))) f)) (PI.f64)))
(*.f64 #s(literal 4 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) (log.f64 (/.f64 (fma.f64 (fma.f64 (+.f64 (PI.f64) (PI.f64)) #s(literal -2 binary64) (+.f64 (PI.f64) (PI.f64))) (*.f64 f f) (/.f64 #s(literal 4 binary64) (PI.f64))) f))))
(*.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (log.f64 (/.f64 (fma.f64 (fma.f64 (+.f64 (PI.f64) (PI.f64)) #s(literal -2 binary64) (+.f64 (PI.f64) (PI.f64))) (*.f64 f f) (/.f64 #s(literal 4 binary64) (PI.f64))) f)))
(*.f64 (log.f64 (/.f64 (fma.f64 (fma.f64 (+.f64 (PI.f64) (PI.f64)) #s(literal -2 binary64) (+.f64 (PI.f64) (PI.f64))) (*.f64 f f) (/.f64 #s(literal 4 binary64) (PI.f64))) f)) (/.f64 #s(literal 4 binary64) (PI.f64)))
(*.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) (/.f64 (log.f64 (/.f64 (fma.f64 (fma.f64 (+.f64 (PI.f64) (PI.f64)) #s(literal -2 binary64) (+.f64 (PI.f64) (PI.f64))) (*.f64 f f) (/.f64 #s(literal 4 binary64) (PI.f64))) f)) #s(literal 1/4 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) (*.f64 #s(literal 4 binary64) (log.f64 (/.f64 (fma.f64 (fma.f64 (+.f64 (PI.f64) (PI.f64)) #s(literal -2 binary64) (+.f64 (PI.f64) (PI.f64))) (*.f64 f f) (/.f64 #s(literal 4 binary64) (PI.f64))) f))))
(*.f64 (/.f64 (log.f64 (/.f64 (fma.f64 (fma.f64 (+.f64 (PI.f64) (PI.f64)) #s(literal -2 binary64) (+.f64 (PI.f64) (PI.f64))) (*.f64 f f) (/.f64 #s(literal 4 binary64) (PI.f64))) f)) (PI.f64)) #s(literal 4 binary64))
(*.f64 (*.f64 (log.f64 (/.f64 (fma.f64 (fma.f64 (+.f64 (PI.f64) (PI.f64)) #s(literal -2 binary64) (+.f64 (PI.f64) (PI.f64))) (*.f64 f f) (/.f64 #s(literal 4 binary64) (PI.f64))) f)) #s(literal 4 binary64)) (/.f64 #s(literal 1 binary64) (PI.f64)))
(*.f64 (*.f64 (log.f64 (/.f64 (fma.f64 (fma.f64 (+.f64 (PI.f64) (PI.f64)) #s(literal -2 binary64) (+.f64 (PI.f64) (PI.f64))) (*.f64 f f) (/.f64 #s(literal 4 binary64) (PI.f64))) f)) (/.f64 #s(literal 1 binary64) (PI.f64))) #s(literal 4 binary64))
(*.f64 (/.f64 (log.f64 (/.f64 (fma.f64 (fma.f64 (+.f64 (PI.f64) (PI.f64)) #s(literal -2 binary64) (+.f64 (PI.f64) (PI.f64))) (*.f64 f f) (/.f64 #s(literal 4 binary64) (PI.f64))) f)) #s(literal 1 binary64)) (/.f64 #s(literal 4 binary64) (PI.f64)))
(*.f64 (/.f64 (log.f64 (/.f64 (fma.f64 (fma.f64 (+.f64 (PI.f64) (PI.f64)) #s(literal -2 binary64) (+.f64 (PI.f64) (PI.f64))) (*.f64 f f) (/.f64 #s(literal 4 binary64) (PI.f64))) f)) (neg.f64 (PI.f64))) #s(literal -4 binary64))
(*.f64 (PI.f64) (*.f64 #s(literal -1/2 binary64) f))
(*.f64 f (*.f64 (PI.f64) #s(literal -1/2 binary64)))
(*.f64 #s(literal -1/2 binary64) (*.f64 (PI.f64) f))
(*.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) f)
(*.f64 (*.f64 (PI.f64) f) #s(literal -1/2 binary64))
(*.f64 (*.f64 f #s(literal -1/2 binary64)) (PI.f64))

simplify352.0ms (1.8%)

Memory
10.7MiB live, 409.9MiB allocated
Algorithm
1×egg-herbie
Rules
7 964×lower-fma.f64
7 964×lower-fma.f32
4 776×lower-*.f64
4 776×lower-*.f32
2 822×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04445157
113884450
254753908
086563725
Stop Event
1×iter limit
1×node limit
Counts
216 → 216
Calls
Call 1
Inputs
(/ 4 (* f (PI)))
(/ (+ (* -8 (/ (* f (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2)))) (pow (PI) 2))) (* 4 (/ 1 (PI)))) f)
(/ (+ (* f (- (* f (- (* 1/8 (PI)) (+ (* -16 (/ (pow (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) 2) (pow (PI) 3))) (* 8 (/ (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (+ (* -1/128 (pow (PI) 3)) (* 1/192 (pow (PI) 3)))) (pow (PI) 2)))))) (* 8 (/ (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) (pow (PI) 2))))) (* 4 (/ 1 (PI)))) f)
(/ (+ (* f (- (* f (- (+ (* 1/8 (PI)) (* f (- (* -2 (/ (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (* -1/128 (pow (PI) 3))) (PI))) (+ (* -16 (/ (* (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (+ (* -1/128 (pow (PI) 3)) (* 1/192 (pow (PI) 3)))) (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2)))) (pow (PI) 3))) (+ (* 2 (/ (* (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) (- (* 1/8 (PI)) (+ (* -16 (/ (pow (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) 2) (pow (PI) 3))) (* 8 (/ (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (+ (* -1/128 (pow (PI) 3)) (* 1/192 (pow (PI) 3)))) (pow (PI) 2)))))) (PI))) (* 8 (/ (+ (* -1/4 (* (PI) (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (+ (* -1/128 (pow (PI) 3)) (* 1/384 (pow (PI) 3)))))) (+ (* -1/32 (* (pow (PI) 2) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (+ (* -1/1536 (pow (PI) 4)) (* 1/3072 (pow (PI) 4))))) (pow (PI) 2)))))))) (+ (* -16 (/ (pow (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) 2) (pow (PI) 3))) (* 8 (/ (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (+ (* -1/128 (pow (PI) 3)) (* 1/192 (pow (PI) 3)))) (pow (PI) 2)))))) (* 8 (/ (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) (pow (PI) 2))))) (* 4 (/ 1 (PI)))) f)
(/ (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))
(/ (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))
(/ (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))
(/ (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))
(/ (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))
(/ (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))
(/ (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))
(/ (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))
1/2
(+ 1/2 (* -1/64 (* (pow f 2) (pow (PI) 2))))
(+ 1/2 (* (pow f 2) (- (* 1/4 (* f (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (* -1/128 (pow (PI) 3))))) (* 1/64 (pow (PI) 2)))))
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(log (/ (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI))))))))
(log (/ (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI))))))))
(* 4 (/ (+ (log (/ 4 (PI))) (* -1 (log f))) (PI)))
(+ (* -8 (/ (* f (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2)))) (pow (PI) 2))) (* 4 (/ (+ (log (/ 4 (PI))) (* -1 (log f))) (PI))))
(+ (* 4 (/ (+ (log (/ 4 (PI))) (* -1 (log f))) (PI))) (* f (+ (* -8 (/ (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) (pow (PI) 2))) (* 2 (/ (* f (+ (* -4 (/ (pow (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) 2) (pow (PI) 2))) (* 1/2 (* (PI) (- (* 1/8 (PI)) (+ (* -16 (/ (pow (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) 2) (pow (PI) 3))) (* 8 (/ (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (+ (* -1/128 (pow (PI) 3)) (* 1/192 (pow (PI) 3)))) (pow (PI) 2))))))))) (PI))))))
(+ (* 4 (/ (+ (log (/ 4 (PI))) (* -1 (log f))) (PI))) (* f (+ (* -8 (/ (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) (pow (PI) 2))) (* f (+ (* 2/3 (/ (* f (+ (* -16 (/ (pow (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) 3) (pow (PI) 3))) (+ (* 3/2 (* (PI) (- (* -2 (/ (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (* -1/128 (pow (PI) 3))) (PI))) (+ (* -16 (/ (* (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (+ (* -1/128 (pow (PI) 3)) (* 1/192 (pow (PI) 3)))) (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2)))) (pow (PI) 3))) (+ (* 2 (/ (* (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) (- (* 1/8 (PI)) (+ (* -16 (/ (pow (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) 2) (pow (PI) 3))) (* 8 (/ (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (+ (* -1/128 (pow (PI) 3)) (* 1/192 (pow (PI) 3)))) (pow (PI) 2)))))) (PI))) (* 8 (/ (+ (* -1/4 (* (PI) (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (+ (* -1/128 (pow (PI) 3)) (* 1/384 (pow (PI) 3)))))) (+ (* -1/32 (* (pow (PI) 2) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (+ (* -1/1536 (pow (PI) 4)) (* 1/3072 (pow (PI) 4))))) (pow (PI) 2)))))))) (* 3 (* (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) (- (* 1/8 (PI)) (+ (* -16 (/ (pow (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) 2) (pow (PI) 3))) (* 8 (/ (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (+ (* -1/128 (pow (PI) 3)) (* 1/192 (pow (PI) 3)))) (pow (PI) 2)))))))))) (PI))) (* 2 (/ (+ (* -4 (/ (pow (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) 2) (pow (PI) 2))) (* 1/2 (* (PI) (- (* 1/8 (PI)) (+ (* -16 (/ (pow (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) 2) (pow (PI) 3))) (* 8 (/ (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (+ (* -1/128 (pow (PI) 3)) (* 1/192 (pow (PI) 3)))) (pow (PI) 2)))))))) (PI))))))))
(* 4 (/ (log (/ (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))) (PI)))
(* 4 (/ (log (/ (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))) (PI)))
(* 4 (/ (log (/ (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))) (PI)))
(* 4 (/ (log (/ (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))) (PI)))
(* 4 (/ (log (/ (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))) (PI)))
(* 4 (/ (log (/ (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))) (PI)))
(* 4 (/ (log (/ (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))) (PI)))
(* 4 (/ (log (/ (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))) (PI)))
(* 1/4 (* f (PI)))
(* 1/4 (* f (PI)))
(* 1/4 (* f (PI)))
(* 1/4 (* f (PI)))
(* 1/4 (* f (PI)))
(* 1/4 (* f (PI)))
(* 1/4 (* f (PI)))
(* 1/4 (* f (PI)))
(* 1/4 (* f (PI)))
(* 1/4 (* f (PI)))
(* 1/4 (* f (PI)))
(* 1/4 (* f (PI)))
(* f (+ (* -1/24 (PI)) (* 1/8 (PI))))
(* f (+ (* -1/24 (PI)) (* 1/8 (PI))))
(* f (+ (* -1/24 (PI)) (* 1/8 (PI))))
(* f (+ (* -1/24 (PI)) (* 1/8 (PI))))
(* f (+ (* -1/24 (PI)) (* 1/8 (PI))))
(* f (+ (* -1/24 (PI)) (* 1/8 (PI))))
(* f (+ (* -1/24 (PI)) (* 1/8 (PI))))
(* f (+ (* -1/24 (PI)) (* 1/8 (PI))))
(* f (+ (* -1/24 (PI)) (* 1/8 (PI))))
(* f (+ (* -1/24 (PI)) (* 1/8 (PI))))
(* f (+ (* -1/24 (PI)) (* 1/8 (PI))))
(* f (+ (* -1/24 (PI)) (* 1/8 (PI))))
(* 4 (/ (+ (log (/ 4 (PI))) (* -1 (log f))) (PI)))
(+ (* 4 (/ (+ (log (/ 4 (PI))) (* -1 (log f))) (PI))) (* (pow f 2) (+ (* -1/24 (PI)) (* 1/8 (PI)))))
(+ (* 4 (/ (+ (log (/ 4 (PI))) (* -1 (log f))) (PI))) (* (pow f 2) (+ (* -1/8 (* (pow f 2) (* (PI) (pow (+ (* -1/24 (PI)) (* 1/8 (PI))) 2)))) (+ (* -1/24 (PI)) (* 1/8 (PI))))))
(+ (* 4 (/ (+ (log (/ 4 (PI))) (* -1 (log f))) (PI))) (* (pow f 2) (+ (* -1/24 (PI)) (+ (* 1/8 (PI)) (* (pow f 2) (+ (* -1/8 (* (PI) (pow (+ (* -1/24 (PI)) (* 1/8 (PI))) 2))) (* 1/48 (* (pow f 2) (* (pow (PI) 2) (pow (+ (* -1/24 (PI)) (* 1/8 (PI))) 3))))))))))
(* 4 (/ (+ (log (+ (* -1/24 (PI)) (* 1/8 (PI)))) (* -1 (log (/ 1 f)))) (PI)))
(+ (* 4 (/ (+ (log (+ (* -1/24 (PI)) (* 1/8 (PI)))) (* -1 (log (/ 1 f)))) (PI))) (* 16 (/ 1 (* (pow f 2) (* (pow (PI) 2) (+ (* -1/24 (PI)) (* 1/8 (PI))))))))
(- (+ (* 4 (/ (+ (log (+ (* -1/24 (PI)) (* 1/8 (PI)))) (* -1 (log (/ 1 f)))) (PI))) (/ 16 (* (pow f 2) (* (pow (PI) 2) (+ (* -1/24 (PI)) (* 1/8 (PI))))))) (/ 32 (* (pow f 4) (* (pow (PI) 3) (pow (+ (* -1/24 (PI)) (* 1/8 (PI))) 2)))))
(- (+ (* 4 (/ (+ (log (+ (* -1/24 (PI)) (* 1/8 (PI)))) (* -1 (log (/ 1 f)))) (PI))) (+ (* 256/3 (/ 1 (* (pow f 6) (* (pow (PI) 4) (pow (+ (* -1/24 (PI)) (* 1/8 (PI))) 3))))) (/ 16 (* (pow f 2) (* (pow (PI) 2) (+ (* -1/24 (PI)) (* 1/8 (PI)))))))) (* 32 (/ 1 (* (pow f 4) (* (pow (PI) 3) (pow (+ (* -1/24 (PI)) (* 1/8 (PI))) 2))))))
(* 4 (/ (+ (log (* -1 (+ (* -1/24 (PI)) (* 1/8 (PI))))) (* -1 (log (/ -1 f)))) (PI)))
(+ (* 4 (/ (+ (log (* -1 (+ (* -1/24 (PI)) (* 1/8 (PI))))) (* -1 (log (/ -1 f)))) (PI))) (* 16 (/ 1 (* (pow f 2) (* (pow (PI) 2) (+ (* -1/24 (PI)) (* 1/8 (PI))))))))
(- (+ (* 4 (/ (+ (log (* -1 (+ (* -1/24 (PI)) (* 1/8 (PI))))) (* -1 (log (/ -1 f)))) (PI))) (/ 16 (* (pow f 2) (* (pow (PI) 2) (+ (* -1/24 (PI)) (* 1/8 (PI))))))) (/ 32 (* (pow f 4) (* (pow (PI) 3) (pow (+ (* -1/24 (PI)) (* 1/8 (PI))) 2)))))
(- (+ (* 4 (/ (+ (log (* -1 (+ (* -1/24 (PI)) (* 1/8 (PI))))) (* -1 (log (/ -1 f)))) (PI))) (+ (* 256/3 (/ 1 (* (pow f 6) (* (pow (PI) 4) (pow (+ (* -1/24 (PI)) (* 1/8 (PI))) 3))))) (/ 16 (* (pow f 2) (* (pow (PI) 2) (+ (* -1/24 (PI)) (* 1/8 (PI)))))))) (* 32 (/ 1 (* (pow f 4) (* (pow (PI) 3) (pow (+ (* -1/24 (PI)) (* 1/8 (PI))) 2))))))
(* -1/2 (* f (PI)))
(* -1/2 (* f (PI)))
(* -1/2 (* f (PI)))
(* -1/2 (* f (PI)))
(* -1/2 (* f (PI)))
(* -1/2 (* f (PI)))
(* -1/2 (* f (PI)))
(* -1/2 (* f (PI)))
(* -1/2 (* f (PI)))
(* -1/2 (* f (PI)))
(* -1/2 (* f (PI)))
(* -1/2 (* f (PI)))
Outputs
(/ 4 (* f (PI)))
(/.f64 #s(literal 4 binary64) (*.f64 f (PI.f64)))
(/ (+ (* -8 (/ (* f (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2)))) (pow (PI) 2))) (* 4 (/ 1 (PI)))) f)
(/.f64 (+.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) #s(literal 0 binary64)) f)
(/ (+ (* f (- (* f (- (* 1/8 (PI)) (+ (* -16 (/ (pow (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) 2) (pow (PI) 3))) (* 8 (/ (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (+ (* -1/128 (pow (PI) 3)) (* 1/192 (pow (PI) 3)))) (pow (PI) 2)))))) (* 8 (/ (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) (pow (PI) 2))))) (* 4 (/ 1 (PI)))) f)
(/.f64 (fma.f64 f (fma.f64 f (fma.f64 #s(literal -8 binary64) (/.f64 (*.f64 (PI.f64) (fma.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal -1/384 binary64) (*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal -1/32 binary64)) #s(literal -1/4 binary64)))) (*.f64 (PI.f64) (PI.f64))) (*.f64 (PI.f64) #s(literal 1/8 binary64))) #s(literal 0 binary64)) (/.f64 #s(literal 4 binary64) (PI.f64))) f)
(/ (+ (* f (- (* f (- (+ (* 1/8 (PI)) (* f (- (* -2 (/ (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (* -1/128 (pow (PI) 3))) (PI))) (+ (* -16 (/ (* (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (+ (* -1/128 (pow (PI) 3)) (* 1/192 (pow (PI) 3)))) (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2)))) (pow (PI) 3))) (+ (* 2 (/ (* (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) (- (* 1/8 (PI)) (+ (* -16 (/ (pow (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) 2) (pow (PI) 3))) (* 8 (/ (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (+ (* -1/128 (pow (PI) 3)) (* 1/192 (pow (PI) 3)))) (pow (PI) 2)))))) (PI))) (* 8 (/ (+ (* -1/4 (* (PI) (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (+ (* -1/128 (pow (PI) 3)) (* 1/384 (pow (PI) 3)))))) (+ (* -1/32 (* (pow (PI) 2) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (+ (* -1/1536 (pow (PI) 4)) (* 1/3072 (pow (PI) 4))))) (pow (PI) 2)))))))) (+ (* -16 (/ (pow (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) 2) (pow (PI) 3))) (* 8 (/ (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (+ (* -1/128 (pow (PI) 3)) (* 1/192 (pow (PI) 3)))) (pow (PI) 2)))))) (* 8 (/ (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) (pow (PI) 2))))) (* 4 (/ 1 (PI)))) f)
(/.f64 (fma.f64 f (fma.f64 f (fma.f64 f (fma.f64 #s(literal -8 binary64) (/.f64 (fma.f64 (PI.f64) (*.f64 #s(literal -1/4 binary64) (*.f64 (PI.f64) (fma.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal -1/32 binary64)) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal -1/192 binary64))))) (fma.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (PI.f64))) #s(literal -1/3072 binary64) (*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/1024 binary64)))) (*.f64 (PI.f64) (PI.f64))) (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 (PI.f64) (fma.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal -1/32 binary64)) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal -1/128 binary64))))) (PI.f64))) (fma.f64 #s(literal -8 binary64) (/.f64 (*.f64 (PI.f64) (fma.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal -1/384 binary64) (*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal -1/32 binary64)) #s(literal -1/4 binary64)))) (*.f64 (PI.f64) (PI.f64))) (*.f64 (PI.f64) #s(literal 1/8 binary64)))) #s(literal 0 binary64)) (/.f64 #s(literal 4 binary64) (PI.f64))) f)
(/ (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))
(/.f64 (+.f64 (exp.f64 (*.f64 f (*.f64 (PI.f64) #s(literal 1/4 binary64)))) (exp.f64 (*.f64 f (*.f64 (PI.f64) #s(literal -1/4 binary64))))) (-.f64 (exp.f64 (*.f64 f (*.f64 (PI.f64) #s(literal 1/4 binary64)))) (exp.f64 (*.f64 f (*.f64 (PI.f64) #s(literal -1/4 binary64))))))
(/ (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))
(/.f64 (+.f64 (exp.f64 (*.f64 f (*.f64 (PI.f64) #s(literal 1/4 binary64)))) (exp.f64 (*.f64 f (*.f64 (PI.f64) #s(literal -1/4 binary64))))) (-.f64 (exp.f64 (*.f64 f (*.f64 (PI.f64) #s(literal 1/4 binary64)))) (exp.f64 (*.f64 f (*.f64 (PI.f64) #s(literal -1/4 binary64))))))
(/ (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))
(/.f64 (+.f64 (exp.f64 (*.f64 f (*.f64 (PI.f64) #s(literal 1/4 binary64)))) (exp.f64 (*.f64 f (*.f64 (PI.f64) #s(literal -1/4 binary64))))) (-.f64 (exp.f64 (*.f64 f (*.f64 (PI.f64) #s(literal 1/4 binary64)))) (exp.f64 (*.f64 f (*.f64 (PI.f64) #s(literal -1/4 binary64))))))
(/ (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))
(/.f64 (+.f64 (exp.f64 (*.f64 f (*.f64 (PI.f64) #s(literal 1/4 binary64)))) (exp.f64 (*.f64 f (*.f64 (PI.f64) #s(literal -1/4 binary64))))) (-.f64 (exp.f64 (*.f64 f (*.f64 (PI.f64) #s(literal 1/4 binary64)))) (exp.f64 (*.f64 f (*.f64 (PI.f64) #s(literal -1/4 binary64))))))
(/ (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))
(/.f64 (+.f64 (exp.f64 (*.f64 f (*.f64 (PI.f64) #s(literal 1/4 binary64)))) (exp.f64 (*.f64 f (*.f64 (PI.f64) #s(literal -1/4 binary64))))) (-.f64 (exp.f64 (*.f64 f (*.f64 (PI.f64) #s(literal 1/4 binary64)))) (exp.f64 (*.f64 f (*.f64 (PI.f64) #s(literal -1/4 binary64))))))
(/ (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))
(/.f64 (+.f64 (exp.f64 (*.f64 f (*.f64 (PI.f64) #s(literal 1/4 binary64)))) (exp.f64 (*.f64 f (*.f64 (PI.f64) #s(literal -1/4 binary64))))) (-.f64 (exp.f64 (*.f64 f (*.f64 (PI.f64) #s(literal 1/4 binary64)))) (exp.f64 (*.f64 f (*.f64 (PI.f64) #s(literal -1/4 binary64))))))
(/ (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))
(/.f64 (+.f64 (exp.f64 (*.f64 f (*.f64 (PI.f64) #s(literal 1/4 binary64)))) (exp.f64 (*.f64 f (*.f64 (PI.f64) #s(literal -1/4 binary64))))) (-.f64 (exp.f64 (*.f64 f (*.f64 (PI.f64) #s(literal 1/4 binary64)))) (exp.f64 (*.f64 f (*.f64 (PI.f64) #s(literal -1/4 binary64))))))
(/ (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))
(/.f64 (+.f64 (exp.f64 (*.f64 f (*.f64 (PI.f64) #s(literal 1/4 binary64)))) (exp.f64 (*.f64 f (*.f64 (PI.f64) #s(literal -1/4 binary64))))) (-.f64 (exp.f64 (*.f64 f (*.f64 (PI.f64) #s(literal 1/4 binary64)))) (exp.f64 (*.f64 f (*.f64 (PI.f64) #s(literal -1/4 binary64))))))
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* -1/64 (* (pow f 2) (pow (PI) 2))))
(fma.f64 #s(literal -1/64 binary64) (*.f64 f (*.f64 f (*.f64 (PI.f64) (PI.f64)))) #s(literal 1/2 binary64))
(+ 1/2 (* (pow f 2) (- (* 1/4 (* f (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (* -1/128 (pow (PI) 3))))) (* 1/64 (pow (PI) 2)))))
(fma.f64 (*.f64 f f) (fma.f64 (*.f64 (PI.f64) (fma.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal -1/32 binary64)) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal -1/128 binary64)))) (*.f64 f #s(literal 1/4 binary64)) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal -1/64 binary64))) #s(literal 1/2 binary64))
(+ 1/2 (* (pow f 2) (- (* f (- (* -1 (* f (+ (* -1/4 (+ (* -1/4 (* (PI) (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (+ (* -1/128 (pow (PI) 3)) (* 1/384 (pow (PI) 3)))))) (+ (* -1/32 (* (pow (PI) 2) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (* -1/1536 (pow (PI) 4))))) (* -1/2048 (pow (PI) 4))))) (* -1/4 (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (* -1/128 (pow (PI) 3)))))) (* 1/64 (pow (PI) 2)))))
(fma.f64 (*.f64 f f) (fma.f64 f (fma.f64 (fma.f64 #s(literal 1/16 binary64) (*.f64 (PI.f64) (*.f64 (PI.f64) (fma.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal -1/32 binary64)) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal -1/192 binary64))))) (fma.f64 #s(literal -1/4 binary64) (fma.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/1024 binary64) (*.f64 #s(literal -1/1536 binary64) (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (PI.f64))))) (*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (PI.f64))) #s(literal -1/2048 binary64)))) (neg.f64 f) (fma.f64 #s(literal -1/16 binary64) (*.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal -1/32 binary64))) (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal -1/512 binary64)))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal -1/64 binary64))) #s(literal 1/2 binary64))
(/ 1 (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))
(/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 f (*.f64 (PI.f64) #s(literal 1/4 binary64)))) (exp.f64 (*.f64 f (*.f64 (PI.f64) #s(literal -1/4 binary64))))))
(/ 1 (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))
(/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 f (*.f64 (PI.f64) #s(literal 1/4 binary64)))) (exp.f64 (*.f64 f (*.f64 (PI.f64) #s(literal -1/4 binary64))))))
(/ 1 (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))
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(* 4 (/ (log (/ (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))) (PI)))
(/.f64 (*.f64 #s(literal 4 binary64) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 f (*.f64 (PI.f64) #s(literal 1/4 binary64)))) (exp.f64 (*.f64 f (*.f64 (PI.f64) #s(literal -1/4 binary64))))) (-.f64 (exp.f64 (*.f64 f (*.f64 (PI.f64) #s(literal 1/4 binary64)))) (exp.f64 (*.f64 f (*.f64 (PI.f64) #s(literal -1/4 binary64)))))))) (PI.f64))
(* 4 (/ (log (/ (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))) (PI)))
(/.f64 (*.f64 #s(literal 4 binary64) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 f (*.f64 (PI.f64) #s(literal 1/4 binary64)))) (exp.f64 (*.f64 f (*.f64 (PI.f64) #s(literal -1/4 binary64))))) (-.f64 (exp.f64 (*.f64 f (*.f64 (PI.f64) #s(literal 1/4 binary64)))) (exp.f64 (*.f64 f (*.f64 (PI.f64) #s(literal -1/4 binary64)))))))) (PI.f64))
(* 4 (/ (log (/ (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))) (PI)))
(/.f64 (*.f64 #s(literal 4 binary64) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 f (*.f64 (PI.f64) #s(literal 1/4 binary64)))) (exp.f64 (*.f64 f (*.f64 (PI.f64) #s(literal -1/4 binary64))))) (-.f64 (exp.f64 (*.f64 f (*.f64 (PI.f64) #s(literal 1/4 binary64)))) (exp.f64 (*.f64 f (*.f64 (PI.f64) #s(literal -1/4 binary64)))))))) (PI.f64))
(* 1/4 (* f (PI)))
(*.f64 f (*.f64 (PI.f64) #s(literal 1/4 binary64)))
(* 1/4 (* f (PI)))
(*.f64 f (*.f64 (PI.f64) #s(literal 1/4 binary64)))
(* 1/4 (* f (PI)))
(*.f64 f (*.f64 (PI.f64) #s(literal 1/4 binary64)))
(* 1/4 (* f (PI)))
(*.f64 f (*.f64 (PI.f64) #s(literal 1/4 binary64)))
(* 1/4 (* f (PI)))
(*.f64 f (*.f64 (PI.f64) #s(literal 1/4 binary64)))
(* 1/4 (* f (PI)))
(*.f64 f (*.f64 (PI.f64) #s(literal 1/4 binary64)))
(* 1/4 (* f (PI)))
(*.f64 f (*.f64 (PI.f64) #s(literal 1/4 binary64)))
(* 1/4 (* f (PI)))
(*.f64 f (*.f64 (PI.f64) #s(literal 1/4 binary64)))
(* 1/4 (* f (PI)))
(*.f64 f (*.f64 (PI.f64) #s(literal 1/4 binary64)))
(* 1/4 (* f (PI)))
(*.f64 f (*.f64 (PI.f64) #s(literal 1/4 binary64)))
(* 1/4 (* f (PI)))
(*.f64 f (*.f64 (PI.f64) #s(literal 1/4 binary64)))
(* 1/4 (* f (PI)))
(*.f64 f (*.f64 (PI.f64) #s(literal 1/4 binary64)))
(* f (+ (* -1/24 (PI)) (* 1/8 (PI))))
(*.f64 f (*.f64 (PI.f64) #s(literal 1/12 binary64)))
(* f (+ (* -1/24 (PI)) (* 1/8 (PI))))
(*.f64 f (*.f64 (PI.f64) #s(literal 1/12 binary64)))
(* f (+ (* -1/24 (PI)) (* 1/8 (PI))))
(*.f64 f (*.f64 (PI.f64) #s(literal 1/12 binary64)))
(* f (+ (* -1/24 (PI)) (* 1/8 (PI))))
(*.f64 f (*.f64 (PI.f64) #s(literal 1/12 binary64)))
(* f (+ (* -1/24 (PI)) (* 1/8 (PI))))
(*.f64 f (*.f64 (PI.f64) #s(literal 1/12 binary64)))
(* f (+ (* -1/24 (PI)) (* 1/8 (PI))))
(*.f64 f (*.f64 (PI.f64) #s(literal 1/12 binary64)))
(* f (+ (* -1/24 (PI)) (* 1/8 (PI))))
(*.f64 f (*.f64 (PI.f64) #s(literal 1/12 binary64)))
(* f (+ (* -1/24 (PI)) (* 1/8 (PI))))
(*.f64 f (*.f64 (PI.f64) #s(literal 1/12 binary64)))
(* f (+ (* -1/24 (PI)) (* 1/8 (PI))))
(*.f64 f (*.f64 (PI.f64) #s(literal 1/12 binary64)))
(* f (+ (* -1/24 (PI)) (* 1/8 (PI))))
(*.f64 f (*.f64 (PI.f64) #s(literal 1/12 binary64)))
(* f (+ (* -1/24 (PI)) (* 1/8 (PI))))
(*.f64 f (*.f64 (PI.f64) #s(literal 1/12 binary64)))
(* f (+ (* -1/24 (PI)) (* 1/8 (PI))))
(*.f64 f (*.f64 (PI.f64) #s(literal 1/12 binary64)))
(* 4 (/ (+ (log (/ 4 (PI))) (* -1 (log f))) (PI)))
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (log.f64 f))) (PI.f64))
(+ (* 4 (/ (+ (log (/ 4 (PI))) (* -1 (log f))) (PI))) (* (pow f 2) (+ (* -1/24 (PI)) (* 1/8 (PI)))))
(fma.f64 #s(literal 4 binary64) (/.f64 (-.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (log.f64 f)) (PI.f64)) (*.f64 f (*.f64 f (*.f64 (PI.f64) #s(literal 1/12 binary64)))))
(+ (* 4 (/ (+ (log (/ 4 (PI))) (* -1 (log f))) (PI))) (* (pow f 2) (+ (* -1/8 (* (pow f 2) (* (PI) (pow (+ (* -1/24 (PI)) (* 1/8 (PI))) 2)))) (+ (* -1/24 (PI)) (* 1/8 (PI))))))
(fma.f64 #s(literal 4 binary64) (/.f64 (-.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (log.f64 f)) (PI.f64)) (*.f64 (*.f64 f f) (*.f64 (PI.f64) (fma.f64 (*.f64 (*.f64 f f) #s(literal -1/8 binary64)) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/144 binary64)) #s(literal 1/12 binary64)))))
(+ (* 4 (/ (+ (log (/ 4 (PI))) (* -1 (log f))) (PI))) (* (pow f 2) (+ (* -1/24 (PI)) (+ (* 1/8 (PI)) (* (pow f 2) (+ (* -1/8 (* (PI) (pow (+ (* -1/24 (PI)) (* 1/8 (PI))) 2))) (* 1/48 (* (pow f 2) (* (pow (PI) 2) (pow (+ (* -1/24 (PI)) (* 1/8 (PI))) 3))))))))))
(fma.f64 f (*.f64 f (fma.f64 (*.f64 f f) (fma.f64 (PI.f64) (*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/144 binary64)) #s(literal -1/8 binary64)) (*.f64 (*.f64 f (*.f64 f (*.f64 (PI.f64) (PI.f64)))) (*.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/1728 binary64)) #s(literal 1/48 binary64)))) (*.f64 (PI.f64) #s(literal 1/12 binary64)))) (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (log.f64 f))) (PI.f64)))
(* 4 (/ (+ (log (+ (* -1/24 (PI)) (* 1/8 (PI)))) (* -1 (log (/ 1 f)))) (PI)))
(/.f64 (*.f64 #s(literal 4 binary64) (+.f64 (log.f64 f) (log.f64 (*.f64 (PI.f64) #s(literal 1/12 binary64))))) (PI.f64))
(+ (* 4 (/ (+ (log (+ (* -1/24 (PI)) (* 1/8 (PI)))) (* -1 (log (/ 1 f)))) (PI))) (* 16 (/ 1 (* (pow f 2) (* (pow (PI) 2) (+ (* -1/24 (PI)) (* 1/8 (PI))))))))
(fma.f64 #s(literal 4 binary64) (/.f64 (+.f64 (log.f64 f) (log.f64 (*.f64 (PI.f64) #s(literal 1/12 binary64)))) (PI.f64)) (/.f64 #s(literal 16 binary64) (*.f64 (*.f64 f f) (*.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/12 binary64))))))
(- (+ (* 4 (/ (+ (log (+ (* -1/24 (PI)) (* 1/8 (PI)))) (* -1 (log (/ 1 f)))) (PI))) (/ 16 (* (pow f 2) (* (pow (PI) 2) (+ (* -1/24 (PI)) (* 1/8 (PI))))))) (/ 32 (* (pow f 4) (* (pow (PI) 3) (pow (+ (* -1/24 (PI)) (* 1/8 (PI))) 2)))))
(+.f64 (/.f64 #s(literal 16 binary64) (*.f64 (*.f64 f f) (*.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/12 binary64))))) (fma.f64 #s(literal 4 binary64) (/.f64 (+.f64 (log.f64 f) (log.f64 (*.f64 (PI.f64) #s(literal 1/12 binary64)))) (PI.f64)) (/.f64 #s(literal -32 binary64) (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/144 binary64)) (pow.f64 f #s(literal 4 binary64)))))))
(- (+ (* 4 (/ (+ (log (+ (* -1/24 (PI)) (* 1/8 (PI)))) (* -1 (log (/ 1 f)))) (PI))) (+ (* 256/3 (/ 1 (* (pow f 6) (* (pow (PI) 4) (pow (+ (* -1/24 (PI)) (* 1/8 (PI))) 3))))) (/ 16 (* (pow f 2) (* (pow (PI) 2) (+ (* -1/24 (PI)) (* 1/8 (PI)))))))) (* 32 (/ 1 (* (pow f 4) (* (pow (PI) 3) (pow (+ (* -1/24 (PI)) (* 1/8 (PI))) 2))))))
(+.f64 (+.f64 (/.f64 #s(literal 16 binary64) (*.f64 (*.f64 f f) (*.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/12 binary64))))) (/.f64 #s(literal 256/3 binary64) (*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (PI.f64))) (*.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/1728 binary64)) (pow.f64 f #s(literal 6 binary64)))))) (fma.f64 #s(literal 4 binary64) (/.f64 (+.f64 (log.f64 f) (log.f64 (*.f64 (PI.f64) #s(literal 1/12 binary64)))) (PI.f64)) (/.f64 #s(literal -32 binary64) (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/144 binary64)) (pow.f64 f #s(literal 4 binary64)))))))
(* 4 (/ (+ (log (* -1 (+ (* -1/24 (PI)) (* 1/8 (PI))))) (* -1 (log (/ -1 f)))) (PI)))
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (log.f64 (*.f64 (PI.f64) #s(literal -1/12 binary64))) (log.f64 (/.f64 #s(literal -1 binary64) f)))) (PI.f64))
(+ (* 4 (/ (+ (log (* -1 (+ (* -1/24 (PI)) (* 1/8 (PI))))) (* -1 (log (/ -1 f)))) (PI))) (* 16 (/ 1 (* (pow f 2) (* (pow (PI) 2) (+ (* -1/24 (PI)) (* 1/8 (PI))))))))
(fma.f64 #s(literal 4 binary64) (/.f64 (-.f64 (log.f64 (*.f64 (PI.f64) #s(literal -1/12 binary64))) (log.f64 (/.f64 #s(literal -1 binary64) f))) (PI.f64)) (/.f64 #s(literal 16 binary64) (*.f64 (*.f64 f f) (*.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/12 binary64))))))
(- (+ (* 4 (/ (+ (log (* -1 (+ (* -1/24 (PI)) (* 1/8 (PI))))) (* -1 (log (/ -1 f)))) (PI))) (/ 16 (* (pow f 2) (* (pow (PI) 2) (+ (* -1/24 (PI)) (* 1/8 (PI))))))) (/ 32 (* (pow f 4) (* (pow (PI) 3) (pow (+ (* -1/24 (PI)) (* 1/8 (PI))) 2)))))
(+.f64 (/.f64 #s(literal 16 binary64) (*.f64 (*.f64 f f) (*.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/12 binary64))))) (fma.f64 #s(literal 4 binary64) (/.f64 (-.f64 (log.f64 (*.f64 (PI.f64) #s(literal -1/12 binary64))) (log.f64 (/.f64 #s(literal -1 binary64) f))) (PI.f64)) (/.f64 #s(literal -32 binary64) (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/144 binary64)) (pow.f64 f #s(literal 4 binary64)))))))
(- (+ (* 4 (/ (+ (log (* -1 (+ (* -1/24 (PI)) (* 1/8 (PI))))) (* -1 (log (/ -1 f)))) (PI))) (+ (* 256/3 (/ 1 (* (pow f 6) (* (pow (PI) 4) (pow (+ (* -1/24 (PI)) (* 1/8 (PI))) 3))))) (/ 16 (* (pow f 2) (* (pow (PI) 2) (+ (* -1/24 (PI)) (* 1/8 (PI)))))))) (* 32 (/ 1 (* (pow f 4) (* (pow (PI) 3) (pow (+ (* -1/24 (PI)) (* 1/8 (PI))) 2))))))
(+.f64 (+.f64 (/.f64 #s(literal 16 binary64) (*.f64 (*.f64 f f) (*.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/12 binary64))))) (/.f64 #s(literal 256/3 binary64) (*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (PI.f64))) (*.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/1728 binary64)) (pow.f64 f #s(literal 6 binary64)))))) (fma.f64 #s(literal 4 binary64) (/.f64 (-.f64 (log.f64 (*.f64 (PI.f64) #s(literal -1/12 binary64))) (log.f64 (/.f64 #s(literal -1 binary64) f))) (PI.f64)) (/.f64 #s(literal -32 binary64) (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/144 binary64)) (pow.f64 f #s(literal 4 binary64)))))))
(* -1/2 (* f (PI)))
(*.f64 f (*.f64 (PI.f64) #s(literal -1/2 binary64)))
(* -1/2 (* f (PI)))
(*.f64 f (*.f64 (PI.f64) #s(literal -1/2 binary64)))
(* -1/2 (* f (PI)))
(*.f64 f (*.f64 (PI.f64) #s(literal -1/2 binary64)))
(* -1/2 (* f (PI)))
(*.f64 f (*.f64 (PI.f64) #s(literal -1/2 binary64)))
(* -1/2 (* f (PI)))
(*.f64 f (*.f64 (PI.f64) #s(literal -1/2 binary64)))
(* -1/2 (* f (PI)))
(*.f64 f (*.f64 (PI.f64) #s(literal -1/2 binary64)))
(* -1/2 (* f (PI)))
(*.f64 f (*.f64 (PI.f64) #s(literal -1/2 binary64)))
(* -1/2 (* f (PI)))
(*.f64 f (*.f64 (PI.f64) #s(literal -1/2 binary64)))
(* -1/2 (* f (PI)))
(*.f64 f (*.f64 (PI.f64) #s(literal -1/2 binary64)))
(* -1/2 (* f (PI)))
(*.f64 f (*.f64 (PI.f64) #s(literal -1/2 binary64)))
(* -1/2 (* f (PI)))
(*.f64 f (*.f64 (PI.f64) #s(literal -1/2 binary64)))
(* -1/2 (* f (PI)))
(*.f64 f (*.f64 (PI.f64) #s(literal -1/2 binary64)))

eval320.0ms (1.7%)

Memory
24.5MiB live, 254.3MiB allocated
Compiler

Compiled 35 550 to 5 873 computations (83.5% saved)

prune263.0ms (1.4%)

Memory
-21.8MiB live, 305.1MiB allocated
Pruning

27 alts after pruning (23 fresh and 4 done)

PrunedKeptTotal
New1 342131 355
Fresh51015
Picked325
Done022
Total1 350271 377
Accuracy
99.9%
Counts
1 377 → 27
Alt Table
Click to see full alt table
StatusAccuracyProgram
97.0%
(fma.f64 f (*.f64 f (*.f64 (PI.f64) #s(literal -1/12 binary64))) (*.f64 (-.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (log.f64 f)) (/.f64 #s(literal -4 binary64) (PI.f64))))
8.9%
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (log1p.f64 (neg.f64 (exp.f64 (*.f64 f (*.f64 (cbrt.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) #s(literal -1/2 binary64)))))) (log1p.f64 (exp.f64 (*.f64 f (*.f64 (PI.f64) #s(literal -1/2 binary64))))))) (PI.f64))
8.9%
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (log1p.f64 (neg.f64 (exp.f64 (*.f64 f (*.f64 (PI.f64) #s(literal -1/2 binary64)))))) (log1p.f64 (exp.f64 (*.f64 f (*.f64 (PI.f64) #s(literal -1/2 binary64))))))) (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))))
8.9%
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (log1p.f64 (neg.f64 (exp.f64 (*.f64 f (*.f64 (PI.f64) #s(literal -1/2 binary64)))))) (log1p.f64 (exp.f64 (*.f64 f (*.f64 (PI.f64) #s(literal -1/2 binary64))))))) (cbrt.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))))
✓8.9%
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (log1p.f64 (neg.f64 (exp.f64 (*.f64 f (*.f64 (PI.f64) #s(literal -1/2 binary64)))))) (log1p.f64 (exp.f64 (*.f64 f (*.f64 (PI.f64) #s(literal -1/2 binary64))))))) (PI.f64))
96.7%
(/.f64 (*.f64 #s(literal 4 binary64) (log.f64 (/.f64 f (/.f64 #s(literal 4 binary64) (PI.f64))))) (PI.f64))
96.7%
(/.f64 (*.f64 #s(literal 4 binary64) (log.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))) #s(literal 1/4 binary64)) f))) (PI.f64))
95.6%
(/.f64 (*.f64 #s(literal 4 binary64) (log.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))))
✓96.7%
(/.f64 (*.f64 #s(literal 4 binary64) (log.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (PI.f64))
8.9%
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (pow.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (sqrt.f64 (PI.f64))) #s(literal 1/3 binary64)) (cbrt.f64 (sqrt.f64 (PI.f64)))) #s(literal 1/4 binary64)) (-.f64 (log1p.f64 (neg.f64 (exp.f64 (*.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)) #s(literal -2 binary64))))) (log1p.f64 (exp.f64 (*.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)) #s(literal -2 binary64)))))))
8.8%
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) #s(literal 3 binary64))) #s(literal 1/4 binary64)) (-.f64 (log1p.f64 (neg.f64 (exp.f64 (*.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)) #s(literal -2 binary64))))) (log1p.f64 (exp.f64 (*.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)) #s(literal -2 binary64)))))))
8.9%
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) (-.f64 (log1p.f64 (neg.f64 (exp.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64)))) (*.f64 #s(literal 1/4 binary64) f)) #s(literal -2 binary64))))) (log1p.f64 (exp.f64 (*.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)) #s(literal -2 binary64)))))))
96.7%
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) (+.f64 (log.f64 f) (log.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64))))))
96.6%
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) (log.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))))
96.5%
(*.f64 (/.f64 (log.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)) (sqrt.f64 (PI.f64))) (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64))))
96.7%
(*.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (-.f64 (log.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/2 binary64) f))) (log.f64 #s(literal 2 binary64))))
✓96.6%
(*.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (log.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))))
✓97.8%
(*.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))))
96.2%
(*.f64 (*.f64 (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64)))) (log.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))))
96.6%
(neg.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/4 binary64) (/.f64 (log.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)) (neg.f64 (PI.f64))))))
97.4%
(neg.f64 (*.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (log.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))) (sinh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))))))
96.1%
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))) #s(literal 4 binary64))) (log.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))) (sinh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))))))
97.2%
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (-.f64 (log.f64 #s(literal 1/2 binary64)) (log.f64 (/.f64 (sinh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))) (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))))))))
96.7%
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (fma.f64 f (*.f64 f (fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 (PI.f64) (PI.f64))) #s(literal -2 binary64) (*.f64 #s(literal 1/16 binary64) (+.f64 (PI.f64) (PI.f64))))) (/.f64 #s(literal 4 binary64) (PI.f64))) f))))
96.9%
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (fma.f64 f (*.f64 f (*.f64 (PI.f64) #s(literal 1/12 binary64))) (/.f64 #s(literal 4 binary64) (PI.f64))) f))))
97.5%
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))) (sinh.f64 (/.f64 f (/.f64 #s(literal 4 binary64) (PI.f64)))))))))
97.5%
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))) (sinh.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))) #s(literal 1/4 binary64)) f)))))))
Compiler

Compiled 2 042 to 755 computations (63% saved)

regimes130.0ms (0.7%)

Memory
18.4MiB live, 134.2MiB allocated
Counts
64 → 1
Calls
Call 1
Inputs
(*.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (log.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))))
(/.f64 (*.f64 #s(literal 4 binary64) (log.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))) (PI.f64))
(/.f64 (*.f64 #s(literal 4 binary64) (log.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (PI.f64))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) (log.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))))
(*.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (log.f64 (/.f64 f (/.f64 #s(literal 4 binary64) (PI.f64)))))
(/.f64 (*.f64 #s(literal 4 binary64) (log.f64 (/.f64 f (/.f64 #s(literal 4 binary64) (PI.f64))))) (PI.f64))
(neg.f64 (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) (neg.f64 (log.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))))))
(neg.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/4 binary64) (/.f64 (log.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)) (neg.f64 (PI.f64))))))
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 #s(literal 2 binary64) (*.f64 f (*.f64 (PI.f64) #s(literal 1/2 binary64)))))))
(*.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (log.f64 (*.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))) (*.f64 #s(literal 1/4 binary64) f))))
(*.f64 (/.f64 #s(literal 4 binary64) (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)))) (log.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))))
(/.f64 (*.f64 #s(literal 4 binary64) (log.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))))
(/.f64 (*.f64 #s(literal 4 binary64) (log.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))) #s(literal 1/4 binary64)) f))) (PI.f64))
(*.f64 (/.f64 (log.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)) (sqrt.f64 (PI.f64))) (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64))))
(*.f64 (*.f64 (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64)))) (log.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))))
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (fma.f64 f (*.f64 f (*.f64 (PI.f64) #s(literal 1/12 binary64))) (/.f64 #s(literal 4 binary64) (PI.f64))) f))))
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 1/4 binary64) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)))) (log.f64 (/.f64 #s(literal 2 binary64) (*.f64 f (*.f64 (PI.f64) #s(literal 1/2 binary64)))))))
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 #s(literal 2 binary64) (*.f64 f (*.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))) #s(literal 1/2 binary64)))))))
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (fma.f64 f (*.f64 f (fma.f64 (*.f64 #s(literal 1/192 binary64) (*.f64 #s(literal 2 binary64) (+.f64 (PI.f64) (PI.f64)))) #s(literal -2 binary64) (*.f64 #s(literal 1/16 binary64) (+.f64 (PI.f64) (PI.f64))))) (/.f64 #s(literal 4 binary64) (PI.f64))) f))))
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (fma.f64 f (*.f64 f (fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 (PI.f64) (PI.f64))) #s(literal -2 binary64) (*.f64 #s(literal 1/16 binary64) (+.f64 (PI.f64) (PI.f64))))) (/.f64 #s(literal 4 binary64) (PI.f64))) f))))
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64)))) #s(literal 4 binary64))) (log.f64 (/.f64 #s(literal 2 binary64) (*.f64 f (*.f64 (PI.f64) #s(literal 1/2 binary64)))))))
(*.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))))
(/.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (*.f64 (PI.f64) #s(literal 1/4 binary64)))
(*.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (-.f64 (log.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/2 binary64) f))) (log.f64 #s(literal 2 binary64))))
(*.f64 (-.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (log.f64 f)) (/.f64 #s(literal -4 binary64) (PI.f64)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) (+.f64 (log.f64 f) (log.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64))))))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1/4 binary64) (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))))) (PI.f64)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))))
(fma.f64 f (*.f64 f (*.f64 (PI.f64) #s(literal -1/12 binary64))) (*.f64 (-.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (log.f64 f)) (/.f64 #s(literal -4 binary64) (PI.f64))))
(neg.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/4 binary64) (/.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (neg.f64 (PI.f64))))))
(neg.f64 (*.f64 (/.f64 (neg.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))) (sqrt.f64 (PI.f64))) (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64)))))
(neg.f64 (/.f64 (*.f64 (neg.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))) (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (PI.f64))))
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))))))))
(fma.f64 f (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 f (*.f64 (PI.f64) (*.f64 (fma.f64 (*.f64 #s(literal 1/192 binary64) (*.f64 #s(literal 2 binary64) (+.f64 (PI.f64) (PI.f64)))) #s(literal -2 binary64) (*.f64 #s(literal 1/16 binary64) (+.f64 (PI.f64) (PI.f64)))) #s(literal 1/2 binary64))))) (PI.f64)) (*.f64 (-.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (log.f64 f)) (/.f64 #s(literal -4 binary64) (PI.f64))))
(neg.f64 (*.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (log.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))) (sinh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))))))
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))) (sinh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))))))
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))) (sinh.f64 (/.f64 f (/.f64 #s(literal 4 binary64) (PI.f64)))))))))
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))) (sinh.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))) #s(literal 1/4 binary64)) f)))))))
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))) #s(literal 4 binary64))) (log.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))) (sinh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))))))
(*.f64 (pow.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) #s(literal -1/2 binary64)) (*.f64 (pow.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) #s(literal -1/2 binary64)) (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))))
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (log1p.f64 (neg.f64 (exp.f64 (*.f64 f (*.f64 (PI.f64) #s(literal -1/2 binary64)))))) (log1p.f64 (exp.f64 (*.f64 f (*.f64 (PI.f64) #s(literal -1/2 binary64))))))) (PI.f64))
(*.f64 (pow.f64 (*.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))) #s(literal 1/4 binary64)) #s(literal -1/2 binary64)) (*.f64 (pow.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) #s(literal -1/2 binary64)) (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))))
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (-.f64 (log.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))) (log.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) (-.f64 (log1p.f64 (neg.f64 (exp.f64 (*.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)) #s(literal -2 binary64))))) (log1p.f64 (exp.f64 (*.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)) #s(literal -2 binary64)))))))
(fma.f64 (/.f64 #s(literal -4 binary64) (PI.f64)) (log.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))) (*.f64 (/.f64 #s(literal -4 binary64) (PI.f64)) (neg.f64 (log.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))))))
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (log1p.f64 (neg.f64 (exp.f64 (*.f64 f (*.f64 (PI.f64) #s(literal -1/2 binary64)))))) (log1p.f64 (exp.f64 (*.f64 f (*.f64 (PI.f64) #s(literal -1/2 binary64))))))) (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))))
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (-.f64 (log.f64 #s(literal 1/2 binary64)) (log.f64 (/.f64 (sinh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))) (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))))))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))) #s(literal 1/4 binary64)) (-.f64 (log1p.f64 (neg.f64 (exp.f64 (*.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)) #s(literal -2 binary64))))) (log1p.f64 (exp.f64 (*.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)) #s(literal -2 binary64)))))))
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (sinh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))))))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) (-.f64 (log1p.f64 (neg.f64 (exp.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64)))) (*.f64 #s(literal 1/4 binary64) f)) #s(literal -2 binary64))))) (log1p.f64 (exp.f64 (*.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)) #s(literal -2 binary64)))))))
(neg.f64 (*.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (+.f64 (log.f64 #s(literal 2 binary64)) (-.f64 (log.f64 (cosh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (log.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))))))))
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (log1p.f64 (neg.f64 (exp.f64 (*.f64 f (*.f64 (PI.f64) #s(literal -1/2 binary64)))))) (log1p.f64 (exp.f64 (*.f64 f (*.f64 (PI.f64) #s(literal -1/2 binary64))))))) (cbrt.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))))
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (log1p.f64 (neg.f64 (exp.f64 (*.f64 f (*.f64 (cbrt.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) #s(literal -1/2 binary64)))))) (log1p.f64 (exp.f64 (*.f64 f (*.f64 (PI.f64) #s(literal -1/2 binary64))))))) (PI.f64))
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (+.f64 (log.f64 #s(literal 2 binary64)) (-.f64 (log.f64 (cosh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (log.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))))))))
(*.f64 (neg.f64 (pow.f64 (/.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (*.f64 (PI.f64) #s(literal -1/4 binary64))) #s(literal 2 binary64))) (/.f64 (*.f64 (PI.f64) #s(literal -1/4 binary64)) (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))))
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (*.f64 (-.f64 (exp.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/2 binary64))) (exp.f64 (neg.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/2 binary64))))) (*.f64 (/.f64 #s(literal 1/2 binary64) (sinh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (/.f64 #s(literal 1/2 binary64) (sinh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))))))))
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))))))
(*.f64 (pow.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) #s(literal -1/2 binary64)) (*.f64 (pow.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) #s(literal -1/2 binary64)) (-.f64 (log1p.f64 (neg.f64 (exp.f64 (*.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)) #s(literal -2 binary64))))) (log1p.f64 (exp.f64 (*.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)) #s(literal -2 binary64)))))))
(/.f64 (neg.f64 (pow.f64 (/.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (*.f64 (PI.f64) #s(literal -1/4 binary64))) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (*.f64 (PI.f64) #s(literal -1/4 binary64))) #s(literal 2 binary64)) #s(literal 0 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (pow.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (sqrt.f64 (PI.f64))) #s(literal 1/3 binary64)) (cbrt.f64 (sqrt.f64 (PI.f64)))) #s(literal 1/4 binary64)) (-.f64 (log1p.f64 (neg.f64 (exp.f64 (*.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)) #s(literal -2 binary64))))) (log1p.f64 (exp.f64 (*.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)) #s(literal -2 binary64)))))))
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (fma.f64 (exp.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) (*.f64 f #s(literal 1/2 binary64)))) (exp.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) (*.f64 f #s(literal 1/2 binary64)))) (neg.f64 (exp.f64 (*.f64 f (*.f64 (PI.f64) #s(literal -1/4 binary64))))))))))
(neg.f64 (*.f64 (pow.f64 (pow.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) #s(literal -1/4 binary64)) #s(literal 4 binary64)) (+.f64 (log.f64 #s(literal 2 binary64)) (-.f64 (log.f64 (cosh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (log.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))))))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) #s(literal 3 binary64))) #s(literal 1/4 binary64)) (-.f64 (log1p.f64 (neg.f64 (exp.f64 (*.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)) #s(literal -2 binary64))))) (log1p.f64 (exp.f64 (*.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)) #s(literal -2 binary64)))))))
(neg.f64 (/.f64 (*.f64 (-.f64 (pow.f64 (log.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))) #s(literal 3 binary64)) (pow.f64 (log.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))) #s(literal 3 binary64))) #s(literal 4 binary64)) (*.f64 (+.f64 (pow.f64 (log.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))) #s(literal 2 binary64)) (*.f64 (log.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))) (+.f64 (log.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))) (log.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))))))) (PI.f64))))
Outputs
(*.f64 (pow.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) #s(literal -1/2 binary64)) (*.f64 (pow.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) #s(literal -1/2 binary64)) (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))))
Calls

6 calls:

41.0ms
(log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))))
23.0ms
(*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)
20.0ms
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))))))
16.0ms
f
13.0ms
(/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))))
Results
AccuracySegmentsBranch
97.9%1f
97.9%1(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))))))
97.9%1(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))))))
97.9%1(log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))))
97.9%1(/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))))
97.9%1(*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)
Compiler

Compiled 144 to 60 computations (58.3% saved)

regimes66.0ms (0.3%)

Memory
-24.5MiB live, 95.3MiB allocated
Counts
39 → 1
Calls
Call 1
Inputs
(*.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (log.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))))
(/.f64 (*.f64 #s(literal 4 binary64) (log.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))) (PI.f64))
(/.f64 (*.f64 #s(literal 4 binary64) (log.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (PI.f64))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) (log.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))))
(*.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (log.f64 (/.f64 f (/.f64 #s(literal 4 binary64) (PI.f64)))))
(/.f64 (*.f64 #s(literal 4 binary64) (log.f64 (/.f64 f (/.f64 #s(literal 4 binary64) (PI.f64))))) (PI.f64))
(neg.f64 (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) (neg.f64 (log.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))))))
(neg.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/4 binary64) (/.f64 (log.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)) (neg.f64 (PI.f64))))))
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 #s(literal 2 binary64) (*.f64 f (*.f64 (PI.f64) #s(literal 1/2 binary64)))))))
(*.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (log.f64 (*.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))) (*.f64 #s(literal 1/4 binary64) f))))
(*.f64 (/.f64 #s(literal 4 binary64) (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)))) (log.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))))
(/.f64 (*.f64 #s(literal 4 binary64) (log.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))))
(/.f64 (*.f64 #s(literal 4 binary64) (log.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))) #s(literal 1/4 binary64)) f))) (PI.f64))
(*.f64 (/.f64 (log.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)) (sqrt.f64 (PI.f64))) (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64))))
(*.f64 (*.f64 (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64)))) (log.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))))
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (fma.f64 f (*.f64 f (*.f64 (PI.f64) #s(literal 1/12 binary64))) (/.f64 #s(literal 4 binary64) (PI.f64))) f))))
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 1/4 binary64) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)))) (log.f64 (/.f64 #s(literal 2 binary64) (*.f64 f (*.f64 (PI.f64) #s(literal 1/2 binary64)))))))
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 #s(literal 2 binary64) (*.f64 f (*.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))) #s(literal 1/2 binary64)))))))
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (fma.f64 f (*.f64 f (fma.f64 (*.f64 #s(literal 1/192 binary64) (*.f64 #s(literal 2 binary64) (+.f64 (PI.f64) (PI.f64)))) #s(literal -2 binary64) (*.f64 #s(literal 1/16 binary64) (+.f64 (PI.f64) (PI.f64))))) (/.f64 #s(literal 4 binary64) (PI.f64))) f))))
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (fma.f64 f (*.f64 f (fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 (PI.f64) (PI.f64))) #s(literal -2 binary64) (*.f64 #s(literal 1/16 binary64) (+.f64 (PI.f64) (PI.f64))))) (/.f64 #s(literal 4 binary64) (PI.f64))) f))))
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64)))) #s(literal 4 binary64))) (log.f64 (/.f64 #s(literal 2 binary64) (*.f64 f (*.f64 (PI.f64) #s(literal 1/2 binary64)))))))
(*.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))))
(/.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (*.f64 (PI.f64) #s(literal 1/4 binary64)))
(*.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (-.f64 (log.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/2 binary64) f))) (log.f64 #s(literal 2 binary64))))
(*.f64 (-.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (log.f64 f)) (/.f64 #s(literal -4 binary64) (PI.f64)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) (+.f64 (log.f64 f) (log.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64))))))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1/4 binary64) (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))))) (PI.f64)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))))
(fma.f64 f (*.f64 f (*.f64 (PI.f64) #s(literal -1/12 binary64))) (*.f64 (-.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (log.f64 f)) (/.f64 #s(literal -4 binary64) (PI.f64))))
(neg.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/4 binary64) (/.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (neg.f64 (PI.f64))))))
(neg.f64 (*.f64 (/.f64 (neg.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))) (sqrt.f64 (PI.f64))) (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64)))))
(neg.f64 (/.f64 (*.f64 (neg.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))) (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (PI.f64))))
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))))))))
(fma.f64 f (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 f (*.f64 (PI.f64) (*.f64 (fma.f64 (*.f64 #s(literal 1/192 binary64) (*.f64 #s(literal 2 binary64) (+.f64 (PI.f64) (PI.f64)))) #s(literal -2 binary64) (*.f64 #s(literal 1/16 binary64) (+.f64 (PI.f64) (PI.f64)))) #s(literal 1/2 binary64))))) (PI.f64)) (*.f64 (-.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (log.f64 f)) (/.f64 #s(literal -4 binary64) (PI.f64))))
(neg.f64 (*.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (log.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))) (sinh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))))))
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))) (sinh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))))))
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))) (sinh.f64 (/.f64 f (/.f64 #s(literal 4 binary64) (PI.f64)))))))))
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))) (sinh.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))) #s(literal 1/4 binary64)) f)))))))
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))) #s(literal 4 binary64))) (log.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))) (sinh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))))))
Outputs
(/.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (*.f64 (PI.f64) #s(literal 1/4 binary64)))
Calls

6 calls:

14.0ms
(log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))))
13.0ms
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))))))
11.0ms
f
10.0ms
(*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)
8.0ms
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))))))
Results
AccuracySegmentsBranch
97.9%1f
97.9%1(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))))))
97.9%1(log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))))
97.9%1(/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))))
97.9%1(*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)
97.9%1(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))))))
Compiler

Compiled 144 to 60 computations (58.3% saved)

regimes36.0ms (0.2%)

Memory
-1.4MiB live, 78.3MiB allocated
Counts
22 → 1
Calls
Call 1
Inputs
(*.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (log.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))))
(/.f64 (*.f64 #s(literal 4 binary64) (log.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))) (PI.f64))
(/.f64 (*.f64 #s(literal 4 binary64) (log.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (PI.f64))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) (log.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))))
(*.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (log.f64 (/.f64 f (/.f64 #s(literal 4 binary64) (PI.f64)))))
(/.f64 (*.f64 #s(literal 4 binary64) (log.f64 (/.f64 f (/.f64 #s(literal 4 binary64) (PI.f64))))) (PI.f64))
(neg.f64 (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) (neg.f64 (log.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))))))
(neg.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/4 binary64) (/.f64 (log.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)) (neg.f64 (PI.f64))))))
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 #s(literal 2 binary64) (*.f64 f (*.f64 (PI.f64) #s(literal 1/2 binary64)))))))
(*.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (log.f64 (*.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))) (*.f64 #s(literal 1/4 binary64) f))))
(*.f64 (/.f64 #s(literal 4 binary64) (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)))) (log.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))))
(/.f64 (*.f64 #s(literal 4 binary64) (log.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))))
(/.f64 (*.f64 #s(literal 4 binary64) (log.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))) #s(literal 1/4 binary64)) f))) (PI.f64))
(*.f64 (/.f64 (log.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)) (sqrt.f64 (PI.f64))) (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64))))
(*.f64 (*.f64 (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64)))) (log.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))))
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (fma.f64 f (*.f64 f (*.f64 (PI.f64) #s(literal 1/12 binary64))) (/.f64 #s(literal 4 binary64) (PI.f64))) f))))
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 1/4 binary64) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)))) (log.f64 (/.f64 #s(literal 2 binary64) (*.f64 f (*.f64 (PI.f64) #s(literal 1/2 binary64)))))))
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 #s(literal 2 binary64) (*.f64 f (*.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))) #s(literal 1/2 binary64)))))))
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (fma.f64 f (*.f64 f (fma.f64 (*.f64 #s(literal 1/192 binary64) (*.f64 #s(literal 2 binary64) (+.f64 (PI.f64) (PI.f64)))) #s(literal -2 binary64) (*.f64 #s(literal 1/16 binary64) (+.f64 (PI.f64) (PI.f64))))) (/.f64 #s(literal 4 binary64) (PI.f64))) f))))
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (fma.f64 f (*.f64 f (fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 (PI.f64) (PI.f64))) #s(literal -2 binary64) (*.f64 #s(literal 1/16 binary64) (+.f64 (PI.f64) (PI.f64))))) (/.f64 #s(literal 4 binary64) (PI.f64))) f))))
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64)))) #s(literal 4 binary64))) (log.f64 (/.f64 #s(literal 2 binary64) (*.f64 f (*.f64 (PI.f64) #s(literal 1/2 binary64)))))))
(*.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))))
Outputs
(*.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))))
Calls

6 calls:

7.0ms
f
6.0ms
(*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)
6.0ms
(/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))))
5.0ms
(log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))))
5.0ms
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))))))
Results
AccuracySegmentsBranch
97.8%1f
97.8%1(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))))))
97.8%1(log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))))
97.8%1(/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))))
97.8%1(*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)
97.8%1(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))))))
Compiler

Compiled 144 to 60 computations (58.3% saved)

regimes34.0ms (0.2%)

Memory
28.3MiB live, 67.0MiB allocated
Counts
21 → 1
Calls
Call 1
Inputs
(*.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (log.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))))
(/.f64 (*.f64 #s(literal 4 binary64) (log.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))) (PI.f64))
(/.f64 (*.f64 #s(literal 4 binary64) (log.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (PI.f64))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) (log.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))))
(*.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (log.f64 (/.f64 f (/.f64 #s(literal 4 binary64) (PI.f64)))))
(/.f64 (*.f64 #s(literal 4 binary64) (log.f64 (/.f64 f (/.f64 #s(literal 4 binary64) (PI.f64))))) (PI.f64))
(neg.f64 (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) (neg.f64 (log.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))))))
(neg.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/4 binary64) (/.f64 (log.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)) (neg.f64 (PI.f64))))))
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 #s(literal 2 binary64) (*.f64 f (*.f64 (PI.f64) #s(literal 1/2 binary64)))))))
(*.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (log.f64 (*.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))) (*.f64 #s(literal 1/4 binary64) f))))
(*.f64 (/.f64 #s(literal 4 binary64) (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)))) (log.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))))
(/.f64 (*.f64 #s(literal 4 binary64) (log.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))))
(/.f64 (*.f64 #s(literal 4 binary64) (log.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))) #s(literal 1/4 binary64)) f))) (PI.f64))
(*.f64 (/.f64 (log.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)) (sqrt.f64 (PI.f64))) (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64))))
(*.f64 (*.f64 (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64)))) (log.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))))
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (fma.f64 f (*.f64 f (*.f64 (PI.f64) #s(literal 1/12 binary64))) (/.f64 #s(literal 4 binary64) (PI.f64))) f))))
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 1/4 binary64) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)))) (log.f64 (/.f64 #s(literal 2 binary64) (*.f64 f (*.f64 (PI.f64) #s(literal 1/2 binary64)))))))
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 #s(literal 2 binary64) (*.f64 f (*.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))) #s(literal 1/2 binary64)))))))
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (fma.f64 f (*.f64 f (fma.f64 (*.f64 #s(literal 1/192 binary64) (*.f64 #s(literal 2 binary64) (+.f64 (PI.f64) (PI.f64)))) #s(literal -2 binary64) (*.f64 #s(literal 1/16 binary64) (+.f64 (PI.f64) (PI.f64))))) (/.f64 #s(literal 4 binary64) (PI.f64))) f))))
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (fma.f64 f (*.f64 f (fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 (PI.f64) (PI.f64))) #s(literal -2 binary64) (*.f64 #s(literal 1/16 binary64) (+.f64 (PI.f64) (PI.f64))))) (/.f64 #s(literal 4 binary64) (PI.f64))) f))))
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64)))) #s(literal 4 binary64))) (log.f64 (/.f64 #s(literal 2 binary64) (*.f64 f (*.f64 (PI.f64) #s(literal 1/2 binary64)))))))
Outputs
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (fma.f64 f (*.f64 f (*.f64 (PI.f64) #s(literal 1/12 binary64))) (/.f64 #s(literal 4 binary64) (PI.f64))) f))))
Calls

6 calls:

6.0ms
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))))))
6.0ms
(*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)
6.0ms
f
5.0ms
(log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))))
5.0ms
(/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))))
Results
AccuracySegmentsBranch
96.9%1f
96.9%1(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))))))
96.9%1(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))))))
96.9%1(log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))))
96.9%1(/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))))
96.9%1(*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)
Compiler

Compiled 144 to 60 computations (58.3% saved)

regimes26.0ms (0.1%)

Memory
5.4MiB live, 43.9MiB allocated
Counts
15 → 1
Calls
Call 1
Inputs
(*.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (log.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))))
(/.f64 (*.f64 #s(literal 4 binary64) (log.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))) (PI.f64))
(/.f64 (*.f64 #s(literal 4 binary64) (log.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (PI.f64))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) (log.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))))
(*.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (log.f64 (/.f64 f (/.f64 #s(literal 4 binary64) (PI.f64)))))
(/.f64 (*.f64 #s(literal 4 binary64) (log.f64 (/.f64 f (/.f64 #s(literal 4 binary64) (PI.f64))))) (PI.f64))
(neg.f64 (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) (neg.f64 (log.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))))))
(neg.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/4 binary64) (/.f64 (log.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)) (neg.f64 (PI.f64))))))
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 #s(literal 2 binary64) (*.f64 f (*.f64 (PI.f64) #s(literal 1/2 binary64)))))))
(*.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (log.f64 (*.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))) (*.f64 #s(literal 1/4 binary64) f))))
(*.f64 (/.f64 #s(literal 4 binary64) (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)))) (log.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))))
(/.f64 (*.f64 #s(literal 4 binary64) (log.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))))
(/.f64 (*.f64 #s(literal 4 binary64) (log.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))) #s(literal 1/4 binary64)) f))) (PI.f64))
(*.f64 (/.f64 (log.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)) (sqrt.f64 (PI.f64))) (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64))))
(*.f64 (*.f64 (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64)))) (log.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))))
Outputs
(/.f64 (*.f64 #s(literal 4 binary64) (log.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))) (PI.f64))
Calls

6 calls:

5.0ms
(/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))))
5.0ms
(*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)
4.0ms
f
4.0ms
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))))))
4.0ms
(log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))))
Results
AccuracySegmentsBranch
96.7%1(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))))))
96.7%1f
96.7%1(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))))))
96.7%1(log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))))
96.7%1(/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))))
96.7%1(*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)
Compiler

Compiled 144 to 60 computations (58.3% saved)

regimes9.0ms (0%)

Memory
-21.7MiB live, 16.5MiB allocated
Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts
1 → 1
Calls
Call 1
Inputs
(*.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (log.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))))
Outputs
(*.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (log.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))))
Calls

6 calls:

3.0ms
f
1.0ms
(*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)
1.0ms
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))))))
1.0ms
(/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))))
1.0ms
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))))))
Results
AccuracySegmentsBranch
96.6%1(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))))))
96.6%1(log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))))
96.6%1(/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))))
96.6%1f
96.6%1(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))))))
96.6%1(*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)
Compiler

Compiled 144 to 60 computations (58.3% saved)

simplify9.0ms (0%)

Memory
18.0MiB live, 18.0MiB allocated
Algorithm
1×egg-herbie
Rules
44×*-commutative_binary64
36×neg-mul-1_binary64
22×unsub-neg_binary64
16×distribute-rgt-neg-in_binary64
14×+-commutative_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
03281
15481
26781
38080
49280
512080
615880
716180
Stop Event
1×saturated
Calls
Call 1
Inputs
(*.f64 (pow.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) #s(literal -1/2 binary64)) (*.f64 (pow.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) #s(literal -1/2 binary64)) (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))))
(/.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (*.f64 (PI.f64) #s(literal 1/4 binary64)))
(*.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))))
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (fma.f64 f (*.f64 f (*.f64 (PI.f64) #s(literal 1/12 binary64))) (/.f64 #s(literal 4 binary64) (PI.f64))) f))))
(/.f64 (*.f64 #s(literal 4 binary64) (log.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))) (PI.f64))
(*.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (log.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))))
Outputs
(*.f64 (pow.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) #s(literal -1/2 binary64)) (*.f64 (pow.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) #s(literal -1/2 binary64)) (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))))
(/.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (*.f64 (PI.f64) #s(literal 1/4 binary64)))
(*.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))))
(*.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (/.f64 #s(literal 4 binary64) (PI.f64)))
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (fma.f64 f (*.f64 f (*.f64 (PI.f64) #s(literal 1/12 binary64))) (/.f64 #s(literal 4 binary64) (PI.f64))) f))))
(*.f64 (log.f64 (/.f64 (fma.f64 f (*.f64 f (*.f64 (PI.f64) #s(literal 1/12 binary64))) (/.f64 #s(literal 4 binary64) (PI.f64))) f)) (/.f64 #s(literal -1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))))
(/.f64 (*.f64 #s(literal 4 binary64) (log.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))) (PI.f64))
(*.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (log.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))))

soundness846.0ms (4.4%)

Memory
-20.0MiB live, 577.2MiB allocated
Rules
7 964×lower-fma.f64
7 964×lower-fma.f32
7 296×lower-fma.f64
7 296×lower-fma.f32
5 070×lower-*.f32
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
050319
091296
1317234
22480171
08691171
04445157
113884450
254753908
086563725
016154
029100
111952
278352
0856152
01901850
15531668
221121484
090531459
Stop Event
1×fuel
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
Compiler

Compiled 135 to 75 computations (44.4% saved)

preprocess60.0ms (0.3%)

Memory
12.1MiB live, 129.0MiB allocated
Compiler

Compiled 238 to 94 computations (60.5% saved)

end0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated

Profiling

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