VandenBroeck and Keller, Equation (20)

Time bar (total: 15.4s)

start0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated

analyze196.0ms (1.3%)

Memory
-20.8MiB live, 252.9MiB 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)

sample5.8s (37.3%)

Memory
143.0MiB live, 5 807.9MiB allocated
Samples
2.6s7 582×1valid
1.9s7 191×1invalid
253.0ms170×2valid
69.0ms504×0valid
1.0ms6×0invalid
0.0ms5×0exit
Precisions
Click to see histograms. Total time spent on operations: 4.2s
ival-exp: 1.3s (31.2% of total)
ival-div: 564.0ms (13.3% of total)
ival-mult: 510.0ms (12.1% of total)
ival-log: 460.0ms (10.9% of total)
ival-neg: 436.0ms (10.3% of total)
adjust: 373.0ms (8.8% of total)
ival-pi: 221.0ms (5.2% of total)
ival-add: 171.0ms (4% of total)
ival-sub: 143.0ms (3.4% of total)
exact: 14.0ms (0.3% of total)
ival-true: 10.0ms (0.2% of total)
ival-assert: 6.0ms (0.1% of total)
Bogosity

explain554.0ms (3.6%)

Memory
-33.9MiB live, 484.9MiB 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))))
40-0-(/.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)))))
34(734785589.4162092)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))))))
20-1(97.08925241485404)(exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))
20-1(97.08925241485404)(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))))))sensitivity70
/.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/o40
↳(exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))overflow4
↳(+.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))))overflow4
↳(exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))overflow4
↳(-.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))))overflow4
exp.f64(exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))sensitivity11
exp.f64(exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))sensitivity11
Confusion
Predicted +Predicted -
+2560
-00
Precision
1.0
Recall
1.0
Confusion?
Predicted +Predicted MaybePredicted -
+25600
-000
Precision?
1.0
Recall?
1.0
Freqs
test
numberfreq
1251
24
31
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
221.0ms474×1valid
34.0ms8×2valid
4.0ms30×0valid
Compiler

Compiled 434 to 52 computations (88% saved)

Precisions
Click to see histograms. Total time spent on operations: 225.0ms
ival-exp: 44.0ms (19.6% of total)
ival-neg: 43.0ms (19.2% of total)
ival-log: 39.0ms (17.4% of total)
ival-add: 35.0ms (15.6% of total)
ival-mult: 25.0ms (11.1% of total)
ival-div: 17.0ms (7.6% of total)
adjust: 11.0ms (4.9% of total)
ival-pi: 4.0ms (1.8% of total)
ival-sub: 4.0ms (1.8% of total)
exact: 1.0ms (0.4% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

preprocess385.0ms (2.5%)

Memory
27.7MiB live, 148.2MiB 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 (/.f64 #s(literal -4 binary64) (PI.f64)) (log.f64 (-.f64 (/.f64 #s(literal -1 binary64) (expm1.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 f (PI.f64))))) (/.f64 #s(literal -1 binary64) (expm1.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 f (PI.f64))))))))
Compiler

Compiled 38 to 16 computations (57.9% saved)

eval0.0ms (0%)

Memory
0.3MiB live, 0.3MiB allocated
Compiler

Compiled 1 to 1 computations (0% saved)

prune1.0ms (0%)

Memory
1.1MiB live, 1.1MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶6.6%
(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)

simplify245.0ms (1.6%)

Memory
-12.5MiB live, 68.5MiB 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 (/.f64 #s(literal -4 binary64) (PI.f64)) (log.f64 (-.f64 (/.f64 #s(literal -1 binary64) (expm1.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 f (PI.f64))))) (/.f64 #s(literal -1 binary64) (expm1.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 f (PI.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 #s(literal -1/2 binary64) (*.f64 f (PI.f64))))) (/.f64 #s(literal -1 binary64) (expm1.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 f (PI.f64))))))) (/.f64 #s(literal 4 binary64) (PI.f64)))
(/.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 #s(literal 1/4 binary64) (PI.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))))))
(log.f64 (-.f64 (/.f64 #s(literal -1 binary64) (expm1.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 f (PI.f64))))) (/.f64 #s(literal -1 binary64) (expm1.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 f (PI.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) (expm1.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 f (PI.f64))))) (/.f64 #s(literal -1 binary64) (expm1.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 f (PI.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 #s(literal -1/4 binary64) (*.f64 f (PI.f64)))) (exp.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))))
(exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))
(exp.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64))))
(*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)
(*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))
f
(exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))
(exp.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 f (PI.f64))))
(neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))
(*.f64 #s(literal -1/4 binary64) (*.f64 f (PI.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 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))) (exp.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 f (PI.f64)))))

localize94.0ms (0.6%)

Memory
11.1MiB live, 86.8MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0.42025375976844204
(*.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)))))))
accuracy0.6374956999878723
(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))))))
accuracy1.1953235042033008
(/.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)))))
accuracy56.97300335666735
(-.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
74.0ms237×1valid
4.0ms4×2valid
2.0ms15×0valid
Compiler

Compiled 198 to 18 computations (90.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 65.0ms
ival-exp: 19.0ms (29.3% of total)
ival-div: 18.0ms (27.8% of total)
ival-log: 7.0ms (10.8% of total)
ival-mult: 6.0ms (9.3% of total)
adjust: 5.0ms (7.7% of total)
ival-neg: 4.0ms (6.2% of total)
ival-pi: 2.0ms (3.1% of total)
ival-sub: 2.0ms (3.1% of total)
ival-add: 2.0ms (3.1% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series99.0ms (0.6%)

Memory
-1.9MiB live, 35.1MiB allocated
Counts
7 → 60
Calls
Call 1
Inputs
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#s(alt (/.f64 (PI.f64) #s(literal 4 binary64)) (patch (/.f64 (PI.f64) #s(literal 4 binary64)) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (patch (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) #<representation binary64>) () ())
#s(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)))))))) (patch (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)))))))) #<representation binary64>) () ())
#s(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)))) (patch (-.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)))) #<representation binary64>) () ())
#s(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)))))) (patch (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)))))) #<representation binary64>) () ())
#s(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))))))) (patch (*.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))))))) #<representation binary64>) () ())
Outputs
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#s(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) (taylor 0 f) (#s(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))))) (patch (/.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))))) #<representation binary64>) () ())) ())
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Calls

3 calls:

TimeVariablePointExpression
52.0ms
f
@inf
((/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/ (PI) 4) (/ 1 (/ (PI) 4)) (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))) (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))))))
36.0ms
f
@-inf
((/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/ (PI) 4) (/ 1 (/ (PI) 4)) (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))) (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))))))
6.0ms
f
@0
((/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/ (PI) 4) (/ 1 (/ (PI) 4)) (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))) (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))))))

simplify182.0ms (1.2%)

Memory
12.8MiB live, 87.6MiB 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
221281484
090931459
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)
(/ (+ (* 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)
(/ (+ (* 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)
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(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 (*.f64 #s(literal 1/4 binary64) f) (PI.f64))) (exp.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal -1/4 binary64)))) (-.f64 (exp.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) f) (PI.f64))) (exp.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal -1/4 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 (*.f64 #s(literal 1/4 binary64) f) (PI.f64))) (exp.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal -1/4 binary64)))) (-.f64 (exp.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) f) (PI.f64))) (exp.f64 (*.f64 (*.f64 (PI.f64) f) #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 (*.f64 #s(literal 1/4 binary64) f) (PI.f64))) (exp.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal -1/4 binary64)))) (-.f64 (exp.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) f) (PI.f64))) (exp.f64 (*.f64 (*.f64 (PI.f64) f) #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 (*.f64 #s(literal 1/4 binary64) f) (PI.f64))) (exp.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal -1/4 binary64)))) (-.f64 (exp.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) f) (PI.f64))) (exp.f64 (*.f64 (*.f64 (PI.f64) f) #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 (*.f64 #s(literal 1/4 binary64) f) (PI.f64))) (exp.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal -1/4 binary64)))) (-.f64 (exp.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) f) (PI.f64))) (exp.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal -1/4 binary64)))))) (/.f64 #s(literal 4 binary64) (PI.f64)))
(/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI)))))))
(/.f64 (+.f64 (exp.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) f) (PI.f64))) (exp.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal -1/4 binary64)))) (-.f64 (exp.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) f) (PI.f64))) (exp.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal -1/4 binary64)))))
(/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI)))))))
(/.f64 (+.f64 (exp.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) f) (PI.f64))) (exp.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal -1/4 binary64)))) (-.f64 (exp.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) f) (PI.f64))) (exp.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal -1/4 binary64)))))
(/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI)))))))
(/.f64 (+.f64 (exp.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) f) (PI.f64))) (exp.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal -1/4 binary64)))) (-.f64 (exp.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) f) (PI.f64))) (exp.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal -1/4 binary64)))))
(/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI)))))))
(/.f64 (+.f64 (exp.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) f) (PI.f64))) (exp.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal -1/4 binary64)))) (-.f64 (exp.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) f) (PI.f64))) (exp.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal -1/4 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 (*.f64 #s(literal 1/4 binary64) f) (PI.f64))) (exp.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal -1/4 binary64)))) (-.f64 (exp.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) f) (PI.f64))) (exp.f64 (*.f64 (*.f64 (PI.f64) f) #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 (*.f64 #s(literal 1/4 binary64) f) (PI.f64))) (exp.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal -1/4 binary64)))) (-.f64 (exp.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) f) (PI.f64))) (exp.f64 (*.f64 (*.f64 (PI.f64) f) #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 (*.f64 #s(literal 1/4 binary64) f) (PI.f64))) (exp.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal -1/4 binary64)))) (-.f64 (exp.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) f) (PI.f64))) (exp.f64 (*.f64 (*.f64 (PI.f64) f) #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 (*.f64 #s(literal 1/4 binary64) f) (PI.f64))) (exp.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal -1/4 binary64)))) (-.f64 (exp.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) f) (PI.f64))) (exp.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal -1/4 binary64)))))) (/.f64 #s(literal -4 binary64) (PI.f64)))
(- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI))))))
(-.f64 (exp.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) f) (PI.f64))) (exp.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal -1/4 binary64))))
(- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI))))))
(-.f64 (exp.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) f) (PI.f64))) (exp.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal -1/4 binary64))))
(- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI))))))
(-.f64 (exp.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) f) (PI.f64))) (exp.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal -1/4 binary64))))
(- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI))))))
(-.f64 (exp.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) f) (PI.f64))) (exp.f64 (*.f64 (*.f64 (PI.f64) f) #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 (*.f64 #s(literal 1/4 binary64) f) (PI.f64))) (exp.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal -1/4 binary64)))) (-.f64 (exp.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) f) (PI.f64))) (exp.f64 (*.f64 (*.f64 (PI.f64) f) #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 (*.f64 #s(literal 1/4 binary64) f) (PI.f64))) (exp.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal -1/4 binary64)))) (-.f64 (exp.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) f) (PI.f64))) (exp.f64 (*.f64 (*.f64 (PI.f64) f) #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 (*.f64 #s(literal 1/4 binary64) f) (PI.f64))) (exp.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal -1/4 binary64)))) (-.f64 (exp.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) f) (PI.f64))) (exp.f64 (*.f64 (*.f64 (PI.f64) f) #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 (*.f64 #s(literal 1/4 binary64) f) (PI.f64))) (exp.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal -1/4 binary64)))) (-.f64 (exp.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) f) (PI.f64))) (exp.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal -1/4 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 (*.f64 #s(literal 1/4 binary64) f) (PI.f64))) (exp.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal -1/4 binary64)))) (-.f64 (exp.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) f) (PI.f64))) (exp.f64 (*.f64 (*.f64 (PI.f64) f) #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 (*.f64 #s(literal 1/4 binary64) f) (PI.f64))) (exp.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal -1/4 binary64)))) (-.f64 (exp.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) f) (PI.f64))) (exp.f64 (*.f64 (*.f64 (PI.f64) f) #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 (*.f64 #s(literal 1/4 binary64) f) (PI.f64))) (exp.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal -1/4 binary64)))) (-.f64 (exp.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) f) (PI.f64))) (exp.f64 (*.f64 (*.f64 (PI.f64) f) #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 (*.f64 #s(literal 1/4 binary64) f) (PI.f64))) (exp.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal -1/4 binary64)))) (-.f64 (exp.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) f) (PI.f64))) (exp.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal -1/4 binary64)))))) (/.f64 #s(literal 4 binary64) (PI.f64)))

rewrite250.0ms (1.6%)

Memory
2.5MiB live, 159.9MiB allocated
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 f (*.f64 #s(literal 1/4 binary64) (PI.f64))))) #s(literal 1 binary64)) (*.f64 (cosh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))) #s(literal 2 binary64)))
(*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (sinh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64))))) (/.f64 (-.f64 (exp.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal 1/2 binary64))) (exp.f64 (neg.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal 1/2 binary64))))) (-.f64 (exp.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal 3/4 binary64))) (exp.f64 (neg.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal 3/4 binary64))))))) (+.f64 (-.f64 (exp.f64 (neg.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal 1/2 binary64)))) #s(literal -1 binary64)) (exp.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal 1/2 binary64)))))
(*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (sinh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64))))) (-.f64 (exp.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal 1/2 binary64))) (exp.f64 (neg.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal 1/2 binary64)))))) (/.f64 #s(literal 1/2 binary64) (sinh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64))))))
(*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (sinh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64))))) (+.f64 (exp.f64 (neg.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal 3/4 binary64)))) (exp.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal 3/4 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 (expm1.f64 (neg.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal 1/2 binary64)))) (exp.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal 1/2 binary64))))))
(*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (sinh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64))))) #s(literal 2 binary64)) (cosh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))))
(*.f64 (*.f64 #s(literal 1 binary64) (/.f64 (*.f64 (cosh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))) #s(literal 2 binary64)) (-.f64 (exp.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal 3/4 binary64))) (exp.f64 (neg.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal 3/4 binary64))))))) (+.f64 (-.f64 (exp.f64 (neg.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal 1/2 binary64)))) #s(literal -1 binary64)) (exp.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal 1/2 binary64)))))
(*.f64 (pow.f64 (tanh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))) #s(literal -1/2 binary64)) (pow.f64 (tanh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))) #s(literal -1/2 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (sinh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64))))) (cosh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))))
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(/.f64 (*.f64 #s(literal 4 binary64) (*.f64 (log.f64 (-.f64 (exp.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal 1/2 binary64))) (exp.f64 (neg.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal 1/2 binary64)))))) (neg.f64 (log.f64 (tanh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))))))) (*.f64 (PI.f64) (log.f64 (-.f64 (exp.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal 1/2 binary64))) (exp.f64 (neg.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal 1/2 binary64))))))))
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (pow.f64 (log.f64 (*.f64 (cosh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))) #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (log.f64 (*.f64 (sinh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))) #s(literal 2 binary64))) #s(literal 3 binary64)))) (*.f64 (PI.f64) (+.f64 (pow.f64 (log.f64 (*.f64 (cosh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))) #s(literal 2 binary64))) #s(literal 2 binary64)) (*.f64 (log.f64 (*.f64 (sinh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))) #s(literal 2 binary64))) (+.f64 (log.f64 (*.f64 (sinh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))) #s(literal 2 binary64))) (log.f64 (*.f64 (cosh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))) #s(literal 2 binary64))))))))
(/.f64 (/.f64 (log.f64 (tanh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64))))) (PI.f64)) #s(literal -1/4 binary64))
(/.f64 (/.f64 (log.f64 (tanh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64))))) (neg.f64 (PI.f64))) #s(literal 1/4 binary64))
(/.f64 (neg.f64 (pow.f64 (*.f64 (log.f64 (tanh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64))))) (/.f64 #s(literal -4 binary64) (PI.f64))) #s(literal 2 binary64))) (*.f64 (log.f64 (tanh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64))))) (/.f64 #s(literal 4 binary64) (PI.f64))))
(/.f64 (*.f64 (neg.f64 (log.f64 (tanh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))))) #s(literal 4 binary64)) (PI.f64))
(/.f64 (log.f64 (tanh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64))))) (*.f64 #s(literal -1/4 binary64) (PI.f64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 #s(literal -1/4 binary64) (PI.f64)) (log.f64 (tanh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64))))))))
(/.f64 (neg.f64 (log.f64 (tanh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))))) (*.f64 #s(literal 1/4 binary64) (PI.f64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/4 binary64) (/.f64 (log.f64 (tanh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64))))) (neg.f64 (PI.f64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 #s(literal -1/4 binary64) (PI.f64)) (log.f64 (tanh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal -1/4 binary64) (PI.f64)) (log.f64 (tanh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))))))
(neg.f64 (*.f64 (log.f64 (tanh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64))))) (/.f64 #s(literal 4 binary64) (PI.f64))))
(fma.f64 (log.f64 (*.f64 (cosh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))) #s(literal 2 binary64))) (/.f64 #s(literal 4 binary64) (PI.f64)) (*.f64 (neg.f64 (log.f64 (*.f64 (sinh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))) #s(literal 2 binary64)))) (/.f64 #s(literal 4 binary64) (PI.f64))))
(fma.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (log.f64 (*.f64 (cosh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))) #s(literal 2 binary64))) (*.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (neg.f64 (log.f64 (*.f64 (sinh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))) #s(literal 2 binary64))))))
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 #s(literal -1/4 binary64) (PI.f64))) (*.f64 (log.f64 (tanh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64))))) (/.f64 #s(literal 4 binary64) (PI.f64))))
(-.f64 (/.f64 (log.f64 (*.f64 #s(literal -2 binary64) (cosh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))))) (*.f64 #s(literal 1/4 binary64) (PI.f64))) (/.f64 (log.f64 (*.f64 #s(literal -2 binary64) (sinh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))))) (*.f64 #s(literal 1/4 binary64) (PI.f64))))
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 #s(literal 1/4 binary64) (PI.f64))) (*.f64 (log.f64 (tanh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64))))) (/.f64 #s(literal 4 binary64) (PI.f64))))
(-.f64 (/.f64 (log.f64 (*.f64 (cosh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))) #s(literal 2 binary64))) (*.f64 #s(literal 1/4 binary64) (PI.f64))) (/.f64 (log.f64 (*.f64 (sinh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))) #s(literal 2 binary64))) (*.f64 #s(literal 1/4 binary64) (PI.f64))))
(+.f64 (*.f64 (log.f64 (*.f64 (cosh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))) #s(literal 2 binary64))) (/.f64 #s(literal 4 binary64) (PI.f64))) (*.f64 (neg.f64 (log.f64 (*.f64 (sinh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))) #s(literal 2 binary64)))) (/.f64 #s(literal 4 binary64) (PI.f64))))
(+.f64 (*.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (log.f64 (*.f64 (cosh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))) #s(literal 2 binary64)))) (*.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (neg.f64 (log.f64 (*.f64 (sinh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))) #s(literal 2 binary64))))))
(+.f64 #s(literal 0 binary64) (*.f64 (log.f64 (tanh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64))))) (/.f64 #s(literal -4 binary64) (PI.f64))))

eval139.0ms (0.9%)

Memory
-5.5MiB live, 257.2MiB allocated
Compiler

Compiled 32 226 to 3 628 computations (88.7% saved)

prune125.0ms (0.8%)

Memory
2.0MiB live, 278.2MiB allocated
Pruning

21 alts after pruning (21 fresh and 0 done)

PrunedKeptTotal
New76421785
Fresh000
Picked101
Done000
Total76521786
Accuracy
99.0%
Counts
786 → 21
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶98.5%
(/.f64 (log.f64 (tanh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64))))) (*.f64 #s(literal 1/4 binary64) (PI.f64)))
98.4%
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (log.f64 (tanh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))))))
96.8%
(-.f64 (/.f64 (log.f64 (*.f64 (cosh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))) #s(literal 2 binary64))) (*.f64 #s(literal -1/4 binary64) (PI.f64))) (/.f64 (log.f64 (*.f64 (sinh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))) #s(literal 2 binary64))) (*.f64 #s(literal -1/4 binary64) (PI.f64))))
98.4%
(*.f64 (pow.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) #s(literal -1/2 binary64)) (*.f64 (pow.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) #s(literal -1/2 binary64)) (log.f64 (tanh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))))))
▶97.4%
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (PI.f64) #s(literal 2/3 binary64))) (/.f64 (log.f64 (tanh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64))))) (*.f64 (cbrt.f64 (PI.f64)) #s(literal 1/4 binary64))))
96.4%
(neg.f64 (/.f64 (*.f64 (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64))) (-.f64 (pow.f64 (log.f64 (*.f64 (cosh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))) #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (log.f64 (*.f64 (sinh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))) #s(literal 2 binary64))) #s(literal 3 binary64)))) (*.f64 (sqrt.f64 (PI.f64)) (+.f64 (pow.f64 (log.f64 (*.f64 (cosh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))) #s(literal 2 binary64))) #s(literal 2 binary64)) (*.f64 (log.f64 (*.f64 (sinh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))) #s(literal 2 binary64))) (+.f64 (log.f64 (*.f64 (sinh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))) #s(literal 2 binary64))) (log.f64 (*.f64 (cosh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))) #s(literal 2 binary64)))))))))
96.4%
(neg.f64 (/.f64 (*.f64 (-.f64 (pow.f64 (log.f64 (*.f64 (cosh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))) #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (log.f64 (*.f64 (sinh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))) #s(literal 2 binary64))) #s(literal 3 binary64))) #s(literal 4 binary64)) (*.f64 (+.f64 (pow.f64 (log.f64 (*.f64 (cosh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))) #s(literal 2 binary64))) #s(literal 2 binary64)) (*.f64 (log.f64 (*.f64 (sinh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))) #s(literal 2 binary64))) (+.f64 (log.f64 (*.f64 (sinh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))) #s(literal 2 binary64))) (log.f64 (*.f64 (cosh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))) #s(literal 2 binary64)))))) (PI.f64))))
97.4%
(neg.f64 (/.f64 (*.f64 (neg.f64 (log.f64 (tanh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))))) (/.f64 #s(literal 4 binary64) (pow.f64 (PI.f64) #s(literal 2/3 binary64)))) (cbrt.f64 (PI.f64))))
▶98.3%
(neg.f64 (/.f64 (*.f64 (neg.f64 (log.f64 (tanh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))))) (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (PI.f64))))
98.2%
(neg.f64 (*.f64 (/.f64 (neg.f64 (log.f64 (tanh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))))) (sqrt.f64 (PI.f64))) (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64)))))
96.6%
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (/.f64 (-.f64 (pow.f64 (log.f64 (*.f64 (cosh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))) #s(literal 2 binary64))) #s(literal 2 binary64)) (*.f64 (neg.f64 (log.f64 (*.f64 (sinh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))) #s(literal 2 binary64)))) (neg.f64 (log.f64 (*.f64 (sinh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))) #s(literal 2 binary64)))))) (-.f64 (log.f64 (*.f64 (cosh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))) #s(literal 2 binary64))) (neg.f64 (log.f64 (*.f64 (sinh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))) #s(literal 2 binary64))))))))
98.3%
(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 f (*.f64 #s(literal 1/4 binary64) (PI.f64))))))))))
96.8%
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (-.f64 (log.f64 (*.f64 (cosh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))) #s(literal 2 binary64))) (log.f64 (*.f64 (sinh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))) #s(literal 2 binary64))))))
6.5%
(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)))) (fma.f64 (exp.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (*.f64 f #s(literal 1/2 binary64)))) (exp.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (*.f64 f #s(literal 1/2 binary64)))) (neg.f64 (exp.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal -1/4 binary64)))))))))
6.6%
(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 (*.f64 #s(literal 1/4 binary64) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64))) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))))))
6.6%
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (*.f64 (sqrt.f64 (sqrt.f64 (PI.f64))) (*.f64 (sqrt.f64 (sqrt.f64 (PI.f64))) (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/4 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))))))))
▶6.8%
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (*.f64 (/.f64 (*.f64 (cosh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))) #s(literal 2 binary64)) (-.f64 (exp.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal 3/4 binary64))) (exp.f64 (neg.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal 3/4 binary64)))))) (+.f64 (-.f64 (exp.f64 (neg.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal 1/2 binary64)))) #s(literal -1 binary64)) (exp.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal 1/2 binary64))))))))
96.7%
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -2 binary64) (*.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) #s(literal 2 binary64)) #s(literal 1/192 binary64)) (*.f64 (+.f64 (PI.f64) (PI.f64)) #s(literal 1/16 binary64))) f) f (/.f64 #s(literal 4 binary64) (PI.f64))) f)))))
▶96.0%
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) f))))))
96.8%
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (fma.f64 (*.f64 (*.f64 (/.f64 f (PI.f64)) (*.f64 (fma.f64 #s(literal -2 binary64) (*.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) #s(literal 2 binary64)) #s(literal 1/192 binary64)) (*.f64 (+.f64 (PI.f64) (PI.f64)) #s(literal 1/16 binary64))) (*.f64 #s(literal 1/2 binary64) (PI.f64)))) #s(literal -2 binary64)) f (*.f64 (-.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (log.f64 f)) (/.f64 #s(literal -4 binary64) (PI.f64)))))
96.1%
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (*.f64 (-.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (log.f64 f)) (/.f64 #s(literal -4 binary64) (PI.f64))))
Compiler

Compiled 1 382 to 786 computations (43.1% saved)

simplify156.0ms (1%)

Memory
5.7MiB live, 221.6MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff128
(neg.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal 3/4 binary64)))
cost-diff128
(*.f64 (/.f64 (*.f64 (cosh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))) #s(literal 2 binary64)) (-.f64 (exp.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal 3/4 binary64))) (exp.f64 (neg.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal 3/4 binary64)))))) (+.f64 (-.f64 (exp.f64 (neg.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal 1/2 binary64)))) #s(literal -1 binary64)) (exp.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal 1/2 binary64)))))
cost-diff128
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (*.f64 (/.f64 (*.f64 (cosh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))) #s(literal 2 binary64)) (-.f64 (exp.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal 3/4 binary64))) (exp.f64 (neg.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal 3/4 binary64)))))) (+.f64 (-.f64 (exp.f64 (neg.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal 1/2 binary64)))) #s(literal -1 binary64)) (exp.f64 (*.f64 (*.f64 f (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
(pow.f64 (PI.f64) #s(literal 2/3 binary64))
cost-diff0
(/.f64 #s(literal 1 binary64) (pow.f64 (PI.f64) #s(literal 2/3 binary64)))
cost-diff704
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (PI.f64) #s(literal 2/3 binary64))) (/.f64 (log.f64 (tanh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64))))) (*.f64 (cbrt.f64 (PI.f64)) #s(literal 1/4 binary64))))
cost-diff0
(neg.f64 (log.f64 (tanh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64))))))
cost-diff128
(*.f64 (neg.f64 (log.f64 (tanh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))))) (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64))))
cost-diff128
(neg.f64 (/.f64 (*.f64 (neg.f64 (log.f64 (tanh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))))) (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (PI.f64))))
cost-diff1984
(/.f64 (*.f64 (neg.f64 (log.f64 (tanh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))))) (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (PI.f64)))
cost-diff0
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) f)))))
cost-diff128
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) f))))))
cost-diff320
(/.f64 #s(literal 2 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) f))
cost-diff704
(/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64)))
cost-diff0
(*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))
cost-diff0
(tanh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64))))
cost-diff0
(log.f64 (tanh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))))
cost-diff0
(/.f64 (log.f64 (tanh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64))))) (*.f64 #s(literal 1/4 binary64) (PI.f64)))
Rules
6 054×lower-fma.f64
6 054×lower-fma.f32
3 798×lower-*.f32
3 770×lower-*.f64
2 472×lower-+.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
064711
0109689
1242649
2620643
31728643
44258623
57637623
08337619
Stop Event
1×iter limit
1×node limit
1×iter limit
Calls
Call 1
Inputs
(/.f64 (log.f64 (tanh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64))))) (*.f64 #s(literal 1/4 binary64) (PI.f64)))
(log.f64 (tanh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))))
(tanh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64))))
(*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))
f
(*.f64 #s(literal 1/4 binary64) (PI.f64))
#s(literal 1/4 binary64)
(PI.f64)
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) f))))))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 #s(literal 1/2 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 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) f))))
#s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) f)))
(/.f64 #s(literal 2 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) f))
#s(literal 2 binary64)
(*.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) f)
(*.f64 #s(literal 1/2 binary64) (PI.f64))
#s(literal 1/2 binary64)
f
(neg.f64 (/.f64 (*.f64 (neg.f64 (log.f64 (tanh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))))) (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (PI.f64))))
(/.f64 (*.f64 (neg.f64 (log.f64 (tanh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))))) (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (PI.f64)))
(*.f64 (neg.f64 (log.f64 (tanh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))))) (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64))))
(neg.f64 (log.f64 (tanh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64))))))
(log.f64 (tanh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))))
(tanh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64))))
(*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))
f
(*.f64 #s(literal 1/4 binary64) (PI.f64))
#s(literal 1/4 binary64)
(PI.f64)
(/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64)))
#s(literal 4 binary64)
(sqrt.f64 (PI.f64))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (PI.f64) #s(literal 2/3 binary64))) (/.f64 (log.f64 (tanh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64))))) (*.f64 (cbrt.f64 (PI.f64)) #s(literal 1/4 binary64))))
(/.f64 #s(literal 1 binary64) (pow.f64 (PI.f64) #s(literal 2/3 binary64)))
#s(literal 1 binary64)
(pow.f64 (PI.f64) #s(literal 2/3 binary64))
(PI.f64)
#s(literal 2/3 binary64)
(/.f64 (log.f64 (tanh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64))))) (*.f64 (cbrt.f64 (PI.f64)) #s(literal 1/4 binary64)))
(log.f64 (tanh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))))
(tanh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64))))
(*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))
f
(*.f64 #s(literal 1/4 binary64) (PI.f64))
#s(literal 1/4 binary64)
(*.f64 (cbrt.f64 (PI.f64)) #s(literal 1/4 binary64))
(cbrt.f64 (PI.f64))
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (*.f64 (/.f64 (*.f64 (cosh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))) #s(literal 2 binary64)) (-.f64 (exp.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal 3/4 binary64))) (exp.f64 (neg.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal 3/4 binary64)))))) (+.f64 (-.f64 (exp.f64 (neg.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal 1/2 binary64)))) #s(literal -1 binary64)) (exp.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal 1/2 binary64))))))))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (*.f64 (/.f64 (*.f64 (cosh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))) #s(literal 2 binary64)) (-.f64 (exp.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal 3/4 binary64))) (exp.f64 (neg.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal 3/4 binary64)))))) (+.f64 (-.f64 (exp.f64 (neg.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal 1/2 binary64)))) #s(literal -1 binary64)) (exp.f64 (*.f64 (*.f64 f (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 (/.f64 (*.f64 (cosh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))) #s(literal 2 binary64)) (-.f64 (exp.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal 3/4 binary64))) (exp.f64 (neg.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal 3/4 binary64)))))) (+.f64 (-.f64 (exp.f64 (neg.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal 1/2 binary64)))) #s(literal -1 binary64)) (exp.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal 1/2 binary64))))))
(*.f64 (/.f64 (*.f64 (cosh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))) #s(literal 2 binary64)) (-.f64 (exp.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal 3/4 binary64))) (exp.f64 (neg.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal 3/4 binary64)))))) (+.f64 (-.f64 (exp.f64 (neg.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal 1/2 binary64)))) #s(literal -1 binary64)) (exp.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal 1/2 binary64)))))
(/.f64 (*.f64 (cosh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))) #s(literal 2 binary64)) (-.f64 (exp.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal 3/4 binary64))) (exp.f64 (neg.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal 3/4 binary64))))))
(*.f64 (cosh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))) #s(literal 2 binary64))
(cosh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64))))
(*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))
f
(*.f64 #s(literal 1/4 binary64) (PI.f64))
#s(literal 1/4 binary64)
#s(literal 2 binary64)
(-.f64 (exp.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal 3/4 binary64))) (exp.f64 (neg.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal 3/4 binary64)))))
(exp.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal 3/4 binary64)))
(*.f64 (*.f64 f (PI.f64)) #s(literal 3/4 binary64))
(*.f64 f (PI.f64))
#s(literal 3/4 binary64)
(exp.f64 (neg.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal 3/4 binary64))))
(neg.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal 3/4 binary64)))
(+.f64 (-.f64 (exp.f64 (neg.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal 1/2 binary64)))) #s(literal -1 binary64)) (exp.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal 1/2 binary64))))
(-.f64 (exp.f64 (neg.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal 1/2 binary64)))) #s(literal -1 binary64))
(exp.f64 (neg.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal 1/2 binary64))))
(neg.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal 1/2 binary64)))
(*.f64 (*.f64 f (PI.f64)) #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
#s(literal -1 binary64)
(exp.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal 1/2 binary64)))
Outputs
(/.f64 (log.f64 (tanh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64))))) (*.f64 #s(literal 1/4 binary64) (PI.f64)))
(*.f64 (/.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 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))))
(log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))
(tanh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64))))
(tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))
(*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))
(*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)
f
(*.f64 #s(literal 1/4 binary64) (PI.f64))
(*.f64 (PI.f64) #s(literal 1/4 binary64))
#s(literal 1/4 binary64)
(PI.f64)
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) f))))))
(*.f64 (/.f64 #s(literal -4 binary64) (PI.f64)) (log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 #s(literal 4 binary64) (*.f64 (PI.f64) f)))))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) f)))))
(*.f64 (log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 #s(literal 4 binary64) (*.f64 (PI.f64) f)))) (/.f64 #s(literal 4 binary64) (PI.f64)))
(/.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 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) f))))
(log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 #s(literal 4 binary64) (*.f64 (PI.f64) f))))
#s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) f)))
#s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 #s(literal 4 binary64) (*.f64 (PI.f64) f)))
(/.f64 #s(literal 2 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) f))
(/.f64 #s(literal 4 binary64) (*.f64 (PI.f64) f))
#s(literal 2 binary64)
(*.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) f)
(*.f64 (*.f64 (PI.f64) f) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) (PI.f64))
#s(literal 1/2 binary64)
f
(neg.f64 (/.f64 (*.f64 (neg.f64 (log.f64 (tanh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))))) (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (PI.f64))))
(*.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))))
(/.f64 (*.f64 (neg.f64 (log.f64 (tanh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))))) (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (PI.f64)))
(*.f64 (/.f64 #s(literal -4 binary64) (PI.f64)) (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))))
(*.f64 (neg.f64 (log.f64 (tanh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))))) (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64))))
(*.f64 (/.f64 #s(literal -4 binary64) (sqrt.f64 (PI.f64))) (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))))
(neg.f64 (log.f64 (tanh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64))))))
(neg.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))))
(log.f64 (tanh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))))
(log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))
(tanh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64))))
(tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))
(*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))
(*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)
f
(*.f64 #s(literal 1/4 binary64) (PI.f64))
(*.f64 (PI.f64) #s(literal 1/4 binary64))
#s(literal 1/4 binary64)
(PI.f64)
(/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64)))
#s(literal 4 binary64)
(sqrt.f64 (PI.f64))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (PI.f64) #s(literal 2/3 binary64))) (/.f64 (log.f64 (tanh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64))))) (*.f64 (cbrt.f64 (PI.f64)) #s(literal 1/4 binary64))))
(/.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (*.f64 (cbrt.f64 (PI.f64)) (*.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) #s(literal 1/4 binary64))))
(/.f64 #s(literal 1 binary64) (pow.f64 (PI.f64) #s(literal 2/3 binary64)))
#s(literal 1 binary64)
(pow.f64 (PI.f64) #s(literal 2/3 binary64))
(PI.f64)
#s(literal 2/3 binary64)
(/.f64 (log.f64 (tanh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64))))) (*.f64 (cbrt.f64 (PI.f64)) #s(literal 1/4 binary64)))
(/.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)))
(log.f64 (tanh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))))
(log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))
(tanh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64))))
(tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))
(*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))
(*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)
f
(*.f64 #s(literal 1/4 binary64) (PI.f64))
(*.f64 (PI.f64) #s(literal 1/4 binary64))
#s(literal 1/4 binary64)
(*.f64 (cbrt.f64 (PI.f64)) #s(literal 1/4 binary64))
(cbrt.f64 (PI.f64))
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (*.f64 (/.f64 (*.f64 (cosh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))) #s(literal 2 binary64)) (-.f64 (exp.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal 3/4 binary64))) (exp.f64 (neg.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal 3/4 binary64)))))) (+.f64 (-.f64 (exp.f64 (neg.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal 1/2 binary64)))) #s(literal -1 binary64)) (exp.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal 1/2 binary64))))))))
(*.f64 (/.f64 #s(literal -4 binary64) (PI.f64)) (log.f64 (*.f64 (/.f64 (cosh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)) (-.f64 (exp.f64 (*.f64 #s(literal 3/4 binary64) (*.f64 (PI.f64) f))) (exp.f64 (*.f64 #s(literal -3/4 binary64) (*.f64 (PI.f64) f))))) (fma.f64 (+.f64 (exp.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/2 binary64))) (exp.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (PI.f64) f)))) #s(literal 2 binary64) #s(literal 2 binary64)))))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (*.f64 (/.f64 (*.f64 (cosh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))) #s(literal 2 binary64)) (-.f64 (exp.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal 3/4 binary64))) (exp.f64 (neg.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal 3/4 binary64)))))) (+.f64 (-.f64 (exp.f64 (neg.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal 1/2 binary64)))) #s(literal -1 binary64)) (exp.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal 1/2 binary64)))))))
(*.f64 (log.f64 (*.f64 (/.f64 (cosh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)) (-.f64 (exp.f64 (*.f64 #s(literal 3/4 binary64) (*.f64 (PI.f64) f))) (exp.f64 (*.f64 #s(literal -3/4 binary64) (*.f64 (PI.f64) f))))) (fma.f64 (+.f64 (exp.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/2 binary64))) (exp.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (PI.f64) f)))) #s(literal 2 binary64) #s(literal 2 binary64)))) (/.f64 #s(literal 4 binary64) (PI.f64)))
(/.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 (/.f64 (*.f64 (cosh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))) #s(literal 2 binary64)) (-.f64 (exp.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal 3/4 binary64))) (exp.f64 (neg.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal 3/4 binary64)))))) (+.f64 (-.f64 (exp.f64 (neg.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal 1/2 binary64)))) #s(literal -1 binary64)) (exp.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal 1/2 binary64))))))
(log.f64 (*.f64 (/.f64 (cosh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)) (-.f64 (exp.f64 (*.f64 #s(literal 3/4 binary64) (*.f64 (PI.f64) f))) (exp.f64 (*.f64 #s(literal -3/4 binary64) (*.f64 (PI.f64) f))))) (fma.f64 (+.f64 (exp.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/2 binary64))) (exp.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (PI.f64) f)))) #s(literal 2 binary64) #s(literal 2 binary64))))
(*.f64 (/.f64 (*.f64 (cosh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))) #s(literal 2 binary64)) (-.f64 (exp.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal 3/4 binary64))) (exp.f64 (neg.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal 3/4 binary64)))))) (+.f64 (-.f64 (exp.f64 (neg.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal 1/2 binary64)))) #s(literal -1 binary64)) (exp.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal 1/2 binary64)))))
(*.f64 (/.f64 (cosh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)) (-.f64 (exp.f64 (*.f64 #s(literal 3/4 binary64) (*.f64 (PI.f64) f))) (exp.f64 (*.f64 #s(literal -3/4 binary64) (*.f64 (PI.f64) f))))) (fma.f64 (+.f64 (exp.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/2 binary64))) (exp.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (PI.f64) f)))) #s(literal 2 binary64) #s(literal 2 binary64)))
(/.f64 (*.f64 (cosh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))) #s(literal 2 binary64)) (-.f64 (exp.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal 3/4 binary64))) (exp.f64 (neg.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal 3/4 binary64))))))
(*.f64 (/.f64 (cosh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)) (-.f64 (exp.f64 (*.f64 #s(literal 3/4 binary64) (*.f64 (PI.f64) f))) (exp.f64 (*.f64 #s(literal -3/4 binary64) (*.f64 (PI.f64) f))))) #s(literal 2 binary64))
(*.f64 (cosh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))) #s(literal 2 binary64))
(*.f64 (cosh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)) #s(literal 2 binary64))
(cosh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64))))
(cosh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))
(*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))
(*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)
f
(*.f64 #s(literal 1/4 binary64) (PI.f64))
(*.f64 (PI.f64) #s(literal 1/4 binary64))
#s(literal 1/4 binary64)
#s(literal 2 binary64)
(-.f64 (exp.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal 3/4 binary64))) (exp.f64 (neg.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal 3/4 binary64)))))
(-.f64 (exp.f64 (*.f64 #s(literal 3/4 binary64) (*.f64 (PI.f64) f))) (exp.f64 (*.f64 #s(literal -3/4 binary64) (*.f64 (PI.f64) f))))
(exp.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal 3/4 binary64)))
(exp.f64 (*.f64 #s(literal 3/4 binary64) (*.f64 (PI.f64) f)))
(*.f64 (*.f64 f (PI.f64)) #s(literal 3/4 binary64))
(*.f64 #s(literal 3/4 binary64) (*.f64 (PI.f64) f))
(*.f64 f (PI.f64))
(*.f64 (PI.f64) f)
#s(literal 3/4 binary64)
(exp.f64 (neg.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal 3/4 binary64))))
(exp.f64 (*.f64 #s(literal -3/4 binary64) (*.f64 (PI.f64) f)))
(neg.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal 3/4 binary64)))
(*.f64 #s(literal -3/4 binary64) (*.f64 (PI.f64) f))
(+.f64 (-.f64 (exp.f64 (neg.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal 1/2 binary64)))) #s(literal -1 binary64)) (exp.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal 1/2 binary64))))
(+.f64 (exp.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/2 binary64))) (-.f64 (exp.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (PI.f64) f))) #s(literal -1 binary64)))
(-.f64 (exp.f64 (neg.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal 1/2 binary64)))) #s(literal -1 binary64))
(-.f64 (exp.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (PI.f64) f))) #s(literal -1 binary64))
(exp.f64 (neg.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal 1/2 binary64))))
(exp.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (PI.f64) f)))
(neg.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal 1/2 binary64)))
(*.f64 #s(literal -1/2 binary64) (*.f64 (PI.f64) f))
(*.f64 (*.f64 f (PI.f64)) #s(literal 1/2 binary64))
(*.f64 (*.f64 (PI.f64) f) #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
#s(literal -1 binary64)
(exp.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/2 binary64)))

localize475.0ms (3.1%)

Memory
6.6MiB live, 832.5MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0.6374956999878723
(log.f64 (*.f64 (/.f64 (*.f64 (cosh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))) #s(literal 2 binary64)) (-.f64 (exp.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal 3/4 binary64))) (exp.f64 (neg.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal 3/4 binary64)))))) (+.f64 (-.f64 (exp.f64 (neg.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal 1/2 binary64)))) #s(literal -1 binary64)) (exp.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal 1/2 binary64))))))
accuracy1.0117270031524757
(*.f64 (/.f64 (*.f64 (cosh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))) #s(literal 2 binary64)) (-.f64 (exp.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal 3/4 binary64))) (exp.f64 (neg.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal 3/4 binary64)))))) (+.f64 (-.f64 (exp.f64 (neg.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal 1/2 binary64)))) #s(literal -1 binary64)) (exp.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal 1/2 binary64)))))
accuracy1.035152121912442
(/.f64 (*.f64 (cosh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))) #s(literal 2 binary64)) (-.f64 (exp.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal 3/4 binary64))) (exp.f64 (neg.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal 3/4 binary64))))))
accuracy56.85173795584602
(-.f64 (exp.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal 3/4 binary64))) (exp.f64 (neg.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal 3/4 binary64)))))
accuracy0.4834175293053261
(/.f64 (log.f64 (tanh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64))))) (*.f64 (cbrt.f64 (PI.f64)) #s(literal 1/4 binary64)))
accuracy0.6329505236440574
(log.f64 (tanh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))))
accuracy0.99609375
(/.f64 #s(literal 1 binary64) (pow.f64 (PI.f64) #s(literal 2/3 binary64)))
accuracy0.99609375
(cbrt.f64 (PI.f64))
accuracy0.26171875
(*.f64 (neg.f64 (log.f64 (tanh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))))) (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64))))
accuracy0.29296875
(/.f64 (*.f64 (neg.f64 (log.f64 (tanh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))))) (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (PI.f64)))
accuracy0.6329505236440574
(log.f64 (tanh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))))
accuracy0.99609375
(sqrt.f64 (PI.f64))
accuracy0.2421875
(*.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) f)
accuracy0.42025375976844204
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) f)))))
accuracy0.6374956999878723
(log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) f))))
accuracy1.860862537965897
#s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) f)))
accuracy0.2421816038481547
(PI.f64)
accuracy0.2421875
(*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))
accuracy0.3359375
(/.f64 (log.f64 (tanh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64))))) (*.f64 #s(literal 1/4 binary64) (PI.f64)))
accuracy0.6329505236440574
(log.f64 (tanh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))))
Samples
315.0ms237×1valid
32.0ms3×2valid
7.0ms15×0valid
0.0ms1×0exit
Compiler

Compiled 681 to 64 computations (90.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 302.0ms
ival-div: 59.0ms (19.5% of total)
ival-exp: 58.0ms (19.2% of total)
ival-mult: 49.0ms (16.2% of total)
ival-log: 42.0ms (13.9% of total)
ival-neg: 31.0ms (10.3% of total)
adjust: 16.0ms (5.3% of total)
ival-pow: 10.0ms (3.3% of total)
const: 7.0ms (2.3% of total)
ival-sub: 6.0ms (2% of total)
ival-cosh: 5.0ms (1.7% of total)
ival-add: 4.0ms (1.3% of total)
ival-sqrt: 3.0ms (1% of total)
ival-tanh: 3.0ms (1% of total)
ival-cbrt: 3.0ms (1% of total)
ival-pi: 2.0ms (0.7% of total)
ival-fabs: 2.0ms (0.7% of total)
exact: 1.0ms (0.3% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series253.0ms (1.6%)

Memory
-4.9MiB live, 439.5MiB allocated
Counts
28 → 264
Calls
Call 1
Inputs
#s(alt (/.f64 (log.f64 (tanh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64))))) (*.f64 #s(literal 1/4 binary64) (PI.f64))) (patch (/.f64 (log.f64 (tanh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64))))) (*.f64 #s(literal 1/4 binary64) (PI.f64))) #<representation binary64>) () ())
#s(alt (log.f64 (tanh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64))))) (patch (log.f64 (tanh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64))))) #<representation binary64>) () ())
#s(alt (tanh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))) (patch (tanh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))) #<representation binary64>) () ())
#s(alt (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64))) (patch (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64))) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (patch (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) f)) (patch (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) f)) #<representation binary64>) () ())
#s(alt (neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) f)))))) (patch (neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) f)))))) #<representation binary64>) () ())
#s(alt (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) f))))) (patch (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) f))))) #<representation binary64>) () ())
#s(alt (/.f64 (*.f64 (neg.f64 (log.f64 (tanh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))))) (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (PI.f64))) (patch (/.f64 (*.f64 (neg.f64 (log.f64 (tanh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))))) (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (PI.f64))) #<representation binary64>) () ())
#s(alt (neg.f64 (/.f64 (*.f64 (neg.f64 (log.f64 (tanh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))))) (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (PI.f64)))) (patch (neg.f64 (/.f64 (*.f64 (neg.f64 (log.f64 (tanh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))))) (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (PI.f64)))) #<representation binary64>) () ())
#s(alt (*.f64 (neg.f64 (log.f64 (tanh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))))) (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64)))) (patch (*.f64 (neg.f64 (log.f64 (tanh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))))) (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64)))) #<representation binary64>) () ())
#s(alt (neg.f64 (log.f64 (tanh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))))) (patch (neg.f64 (log.f64 (tanh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))))) #<representation binary64>) () ())
#s(alt (*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (PI.f64) #s(literal 2/3 binary64))) (/.f64 (log.f64 (tanh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64))))) (*.f64 (cbrt.f64 (PI.f64)) #s(literal 1/4 binary64)))) (patch (*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (PI.f64) #s(literal 2/3 binary64))) (/.f64 (log.f64 (tanh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64))))) (*.f64 (cbrt.f64 (PI.f64)) #s(literal 1/4 binary64)))) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) (pow.f64 (PI.f64) #s(literal 2/3 binary64))) (patch (/.f64 #s(literal 1 binary64) (pow.f64 (PI.f64) #s(literal 2/3 binary64))) #<representation binary64>) () ())
#s(alt (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (patch (pow.f64 (PI.f64) #s(literal 2/3 binary64)) #<representation binary64>) () ())
#s(alt (PI.f64) (patch (PI.f64) #<representation binary64>) () ())
#s(alt (neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (*.f64 (/.f64 (*.f64 (cosh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))) #s(literal 2 binary64)) (-.f64 (exp.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal 3/4 binary64))) (exp.f64 (neg.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal 3/4 binary64)))))) (+.f64 (-.f64 (exp.f64 (neg.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal 1/2 binary64)))) #s(literal -1 binary64)) (exp.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal 1/2 binary64)))))))) (patch (neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (*.f64 (/.f64 (*.f64 (cosh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))) #s(literal 2 binary64)) (-.f64 (exp.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal 3/4 binary64))) (exp.f64 (neg.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal 3/4 binary64)))))) (+.f64 (-.f64 (exp.f64 (neg.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal 1/2 binary64)))) #s(literal -1 binary64)) (exp.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal 1/2 binary64)))))))) #<representation binary64>) () ())
#s(alt (*.f64 (/.f64 (*.f64 (cosh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))) #s(literal 2 binary64)) (-.f64 (exp.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal 3/4 binary64))) (exp.f64 (neg.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal 3/4 binary64)))))) (+.f64 (-.f64 (exp.f64 (neg.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal 1/2 binary64)))) #s(literal -1 binary64)) (exp.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal 1/2 binary64))))) (patch (*.f64 (/.f64 (*.f64 (cosh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))) #s(literal 2 binary64)) (-.f64 (exp.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal 3/4 binary64))) (exp.f64 (neg.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal 3/4 binary64)))))) (+.f64 (-.f64 (exp.f64 (neg.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal 1/2 binary64)))) #s(literal -1 binary64)) (exp.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal 1/2 binary64))))) #<representation binary64>) () ())
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#s(alt (cbrt.f64 (PI.f64)) (patch (cbrt.f64 (PI.f64)) #<representation binary64>) () ())
#s(alt (/.f64 (log.f64 (tanh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64))))) (*.f64 (cbrt.f64 (PI.f64)) #s(literal 1/4 binary64))) (patch (/.f64 (log.f64 (tanh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64))))) (*.f64 (cbrt.f64 (PI.f64)) #s(literal 1/4 binary64))) #<representation binary64>) () ())
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Outputs
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Calls

3 calls:

TimeVariablePointExpression
129.0ms
f
@inf
((/ (log (tanh (* f (* 1/4 (PI))))) (* 1/4 (PI))) (log (tanh (* f (* 1/4 (PI))))) (tanh (* f (* 1/4 (PI)))) (* f (* 1/4 (PI))) (/ 1 (/ (PI) 4)) (/ 2 (* (* 1/2 (PI)) f)) (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))))) (/ (* (neg (log (tanh (* f (* 1/4 (PI)))))) (/ 4 (sqrt (PI)))) (sqrt (PI))) (neg (/ (* (neg (log (tanh (* f (* 1/4 (PI)))))) (/ 4 (sqrt (PI)))) (sqrt (PI)))) (* (neg (log (tanh (* f (* 1/4 (PI)))))) (/ 4 (sqrt (PI)))) (neg (log (tanh (* f (* 1/4 (PI)))))) (* (/ 1 (pow (PI) 2/3)) (/ (log (tanh (* f (* 1/4 (PI))))) (* (cbrt (PI)) 1/4))) (/ 1 (pow (PI) 2/3)) (pow (PI) 2/3) (PI) (neg (* (/ 1 (/ (PI) 4)) (log (* (/ (* (cosh (* f (* 1/4 (PI)))) 2) (- (exp (* (* f (PI)) 3/4)) (exp (neg (* (* f (PI)) 3/4))))) (+ (- (exp (neg (* (* f (PI)) 1/2))) -1) (exp (* (* f (PI)) 1/2))))))) (* (/ (* (cosh (* f (* 1/4 (PI)))) 2) (- (exp (* (* f (PI)) 3/4)) (exp (neg (* (* f (PI)) 3/4))))) (+ (- (exp (neg (* (* f (PI)) 1/2))) -1) (exp (* (* f (PI)) 1/2)))) (neg (* (* f (PI)) 3/4)) (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))) (* (* 1/2 (PI)) f) (sqrt (PI)) (cbrt (PI)) (/ (log (tanh (* f (* 1/4 (PI))))) (* (cbrt (PI)) 1/4)) (- (exp (* (* f (PI)) 3/4)) (exp (neg (* (* f (PI)) 3/4)))) (/ (* (cosh (* f (* 1/4 (PI)))) 2) (- (exp (* (* f (PI)) 3/4)) (exp (neg (* (* f (PI)) 3/4))))) (log (* (/ (* (cosh (* f (* 1/4 (PI)))) 2) (- (exp (* (* f (PI)) 3/4)) (exp (neg (* (* f (PI)) 3/4))))) (+ (- (exp (neg (* (* f (PI)) 1/2))) -1) (exp (* (* f (PI)) 1/2))))))
79.0ms
f
@-inf
((/ (log (tanh (* f (* 1/4 (PI))))) (* 1/4 (PI))) (log (tanh (* f (* 1/4 (PI))))) (tanh (* f (* 1/4 (PI)))) (* f (* 1/4 (PI))) (/ 1 (/ (PI) 4)) (/ 2 (* (* 1/2 (PI)) f)) (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))))) (/ (* (neg (log (tanh (* f (* 1/4 (PI)))))) (/ 4 (sqrt (PI)))) (sqrt (PI))) (neg (/ (* (neg (log (tanh (* f (* 1/4 (PI)))))) (/ 4 (sqrt (PI)))) (sqrt (PI)))) (* (neg (log (tanh (* f (* 1/4 (PI)))))) (/ 4 (sqrt (PI)))) (neg (log (tanh (* f (* 1/4 (PI)))))) (* (/ 1 (pow (PI) 2/3)) (/ (log (tanh (* f (* 1/4 (PI))))) (* (cbrt (PI)) 1/4))) (/ 1 (pow (PI) 2/3)) (pow (PI) 2/3) (PI) (neg (* (/ 1 (/ (PI) 4)) (log (* (/ (* (cosh (* f (* 1/4 (PI)))) 2) (- (exp (* (* f (PI)) 3/4)) (exp (neg (* (* f (PI)) 3/4))))) (+ (- (exp (neg (* (* f (PI)) 1/2))) -1) (exp (* (* f (PI)) 1/2))))))) (* (/ (* (cosh (* f (* 1/4 (PI)))) 2) (- (exp (* (* f (PI)) 3/4)) (exp (neg (* (* f (PI)) 3/4))))) (+ (- (exp (neg (* (* f (PI)) 1/2))) -1) (exp (* (* f (PI)) 1/2)))) (neg (* (* f (PI)) 3/4)) (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))) (* (* 1/2 (PI)) f) (sqrt (PI)) (cbrt (PI)) (/ (log (tanh (* f (* 1/4 (PI))))) (* (cbrt (PI)) 1/4)) (- (exp (* (* f (PI)) 3/4)) (exp (neg (* (* f (PI)) 3/4)))) (/ (* (cosh (* f (* 1/4 (PI)))) 2) (- (exp (* (* f (PI)) 3/4)) (exp (neg (* (* f (PI)) 3/4))))) (log (* (/ (* (cosh (* f (* 1/4 (PI)))) 2) (- (exp (* (* f (PI)) 3/4)) (exp (neg (* (* f (PI)) 3/4))))) (+ (- (exp (neg (* (* f (PI)) 1/2))) -1) (exp (* (* f (PI)) 1/2))))))
22.0ms
f
@0
((/ (log (tanh (* f (* 1/4 (PI))))) (* 1/4 (PI))) (log (tanh (* f (* 1/4 (PI))))) (tanh (* f (* 1/4 (PI)))) (* f (* 1/4 (PI))) (/ 1 (/ (PI) 4)) (/ 2 (* (* 1/2 (PI)) f)) (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))))) (/ (* (neg (log (tanh (* f (* 1/4 (PI)))))) (/ 4 (sqrt (PI)))) (sqrt (PI))) (neg (/ (* (neg (log (tanh (* f (* 1/4 (PI)))))) (/ 4 (sqrt (PI)))) (sqrt (PI)))) (* (neg (log (tanh (* f (* 1/4 (PI)))))) (/ 4 (sqrt (PI)))) (neg (log (tanh (* f (* 1/4 (PI)))))) (* (/ 1 (pow (PI) 2/3)) (/ (log (tanh (* f (* 1/4 (PI))))) (* (cbrt (PI)) 1/4))) (/ 1 (pow (PI) 2/3)) (pow (PI) 2/3) (PI) (neg (* (/ 1 (/ (PI) 4)) (log (* (/ (* (cosh (* f (* 1/4 (PI)))) 2) (- (exp (* (* f (PI)) 3/4)) (exp (neg (* (* f (PI)) 3/4))))) (+ (- (exp (neg (* (* f (PI)) 1/2))) -1) (exp (* (* f (PI)) 1/2))))))) (* (/ (* (cosh (* f (* 1/4 (PI)))) 2) (- (exp (* (* f (PI)) 3/4)) (exp (neg (* (* f (PI)) 3/4))))) (+ (- (exp (neg (* (* f (PI)) 1/2))) -1) (exp (* (* f (PI)) 1/2)))) (neg (* (* f (PI)) 3/4)) (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))) (* (* 1/2 (PI)) f) (sqrt (PI)) (cbrt (PI)) (/ (log (tanh (* f (* 1/4 (PI))))) (* (cbrt (PI)) 1/4)) (- (exp (* (* f (PI)) 3/4)) (exp (neg (* (* f (PI)) 3/4)))) (/ (* (cosh (* f (* 1/4 (PI)))) 2) (- (exp (* (* f (PI)) 3/4)) (exp (neg (* (* f (PI)) 3/4))))) (log (* (/ (* (cosh (* f (* 1/4 (PI)))) 2) (- (exp (* (* f (PI)) 3/4)) (exp (neg (* (* f (PI)) 3/4))))) (+ (- (exp (neg (* (* f (PI)) 1/2))) -1) (exp (* (* f (PI)) 1/2))))))

simplify253.0ms (1.6%)

Memory
25.8MiB live, 337.9MiB allocated
Algorithm
1×egg-herbie
Rules
20 306×lower-fma.f64
20 306×lower-fma.f32
5 864×lower-*.f64
5 864×lower-*.f32
2 792×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
06139893
119698102
087987822
Stop Event
1×iter limit
1×node limit
Counts
264 → 264
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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(*.f64 (*.f64 #s(literal -3/4 binary64) (PI.f64)) f)
(/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI)))))))
(/.f64 (+.f64 (exp.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (PI.f64)) f)) (exp.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64)))) (-.f64 (exp.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64))) (exp.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (PI.f64)) f))))
(/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI)))))))
(/.f64 (+.f64 (exp.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (PI.f64)) f)) (exp.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64)))) (-.f64 (exp.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64))) (exp.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (PI.f64)) f))))
(/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI)))))))
(/.f64 (+.f64 (exp.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (PI.f64)) f)) (exp.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64)))) (-.f64 (exp.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64))) (exp.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (PI.f64)) f))))
(/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI)))))))
(/.f64 (+.f64 (exp.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (PI.f64)) f)) (exp.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64)))) (-.f64 (exp.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64))) (exp.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (PI.f64)) f))))
(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 (*.f64 #s(literal -1/4 binary64) (PI.f64)) f)) (exp.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64)))) (-.f64 (exp.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64))) (exp.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (PI.f64)) f)))))
(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 (*.f64 #s(literal -1/4 binary64) (PI.f64)) f)) (exp.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64)))) (-.f64 (exp.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64))) (exp.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (PI.f64)) f)))))
(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 (*.f64 #s(literal -1/4 binary64) (PI.f64)) f)) (exp.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64)))) (-.f64 (exp.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64))) (exp.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (PI.f64)) f)))))
(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 (*.f64 #s(literal -1/4 binary64) (PI.f64)) f)) (exp.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64)))) (-.f64 (exp.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64))) (exp.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (PI.f64)) f)))))
(* 1/2 (* f (PI)))
(*.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) f)
(* 1/2 (* f (PI)))
(*.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) f)
(* 1/2 (* f (PI)))
(*.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) f)
(* 1/2 (* f (PI)))
(*.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) f)
(* 4 (* (cbrt (/ 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))))))))))
(*.f64 (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) #s(literal 4 binary64)) (log.f64 (/.f64 (-.f64 (exp.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64))) (exp.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (PI.f64)) f))) (+.f64 (exp.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (PI.f64)) f)) (exp.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64)))))))
(* 4 (* (cbrt (/ 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))))))))))
(*.f64 (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) #s(literal 4 binary64)) (log.f64 (/.f64 (-.f64 (exp.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64))) (exp.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (PI.f64)) f))) (+.f64 (exp.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (PI.f64)) f)) (exp.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64)))))))
(* 4 (* (cbrt (/ 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))))))))))
(*.f64 (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) #s(literal 4 binary64)) (log.f64 (/.f64 (-.f64 (exp.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64))) (exp.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (PI.f64)) f))) (+.f64 (exp.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (PI.f64)) f)) (exp.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64)))))))
(* 4 (* (cbrt (/ 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))))))))))
(*.f64 (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) #s(literal 4 binary64)) (log.f64 (/.f64 (-.f64 (exp.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64))) (exp.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (PI.f64)) f))) (+.f64 (exp.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (PI.f64)) f)) (exp.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64)))))))
(- (exp (* 3/4 (* f (PI)))) (exp (neg (* 3/4 (* f (PI))))))
(-.f64 (exp.f64 (*.f64 (*.f64 #s(literal 3/4 binary64) f) (PI.f64))) (exp.f64 (*.f64 (*.f64 #s(literal -3/4 binary64) (PI.f64)) f)))
(- (exp (* 3/4 (* f (PI)))) (exp (neg (* 3/4 (* f (PI))))))
(-.f64 (exp.f64 (*.f64 (*.f64 #s(literal 3/4 binary64) f) (PI.f64))) (exp.f64 (*.f64 (*.f64 #s(literal -3/4 binary64) (PI.f64)) f)))
(- (exp (* 3/4 (* f (PI)))) (exp (neg (* 3/4 (* f (PI))))))
(-.f64 (exp.f64 (*.f64 (*.f64 #s(literal 3/4 binary64) f) (PI.f64))) (exp.f64 (*.f64 (*.f64 #s(literal -3/4 binary64) (PI.f64)) f)))
(- (exp (* 3/4 (* f (PI)))) (exp (neg (* 3/4 (* f (PI))))))
(-.f64 (exp.f64 (*.f64 (*.f64 #s(literal 3/4 binary64) f) (PI.f64))) (exp.f64 (*.f64 (*.f64 #s(literal -3/4 binary64) (PI.f64)) f)))
(/ (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (- (exp (* 3/4 (* f (PI)))) (exp (neg (* 3/4 (* f (PI)))))))
(/.f64 (+.f64 (exp.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (PI.f64)) f)) (exp.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64)))) (-.f64 (exp.f64 (*.f64 (*.f64 #s(literal 3/4 binary64) f) (PI.f64))) (exp.f64 (*.f64 (*.f64 #s(literal -3/4 binary64) (PI.f64)) f))))
(/ (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (- (exp (* 3/4 (* f (PI)))) (exp (neg (* 3/4 (* f (PI)))))))
(/.f64 (+.f64 (exp.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (PI.f64)) f)) (exp.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64)))) (-.f64 (exp.f64 (*.f64 (*.f64 #s(literal 3/4 binary64) f) (PI.f64))) (exp.f64 (*.f64 (*.f64 #s(literal -3/4 binary64) (PI.f64)) f))))
(/ (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (- (exp (* 3/4 (* f (PI)))) (exp (neg (* 3/4 (* f (PI)))))))
(/.f64 (+.f64 (exp.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (PI.f64)) f)) (exp.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64)))) (-.f64 (exp.f64 (*.f64 (*.f64 #s(literal 3/4 binary64) f) (PI.f64))) (exp.f64 (*.f64 (*.f64 #s(literal -3/4 binary64) (PI.f64)) f))))
(/ (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (- (exp (* 3/4 (* f (PI)))) (exp (neg (* 3/4 (* f (PI)))))))
(/.f64 (+.f64 (exp.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (PI.f64)) f)) (exp.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64)))) (-.f64 (exp.f64 (*.f64 (*.f64 #s(literal 3/4 binary64) f) (PI.f64))) (exp.f64 (*.f64 (*.f64 #s(literal -3/4 binary64) (PI.f64)) f))))
(log (/ (* (+ 1 (+ (exp (neg (* 1/2 (* f (PI))))) (exp (* 1/2 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI))))))) (- (exp (* 3/4 (* f (PI)))) (exp (neg (* 3/4 (* f (PI))))))))
(log.f64 (/.f64 (*.f64 (+.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) f))) (exp.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (PI.f64)) f))) (+.f64 (exp.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (PI.f64)) f)) (exp.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64))))) (-.f64 (exp.f64 (*.f64 (*.f64 #s(literal 3/4 binary64) f) (PI.f64))) (exp.f64 (*.f64 (*.f64 #s(literal -3/4 binary64) (PI.f64)) f)))))
(log (/ (* (+ 1 (+ (exp (neg (* 1/2 (* f (PI))))) (exp (* 1/2 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI))))))) (- (exp (* 3/4 (* f (PI)))) (exp (neg (* 3/4 (* f (PI))))))))
(log.f64 (/.f64 (*.f64 (+.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) f))) (exp.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (PI.f64)) f))) (+.f64 (exp.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (PI.f64)) f)) (exp.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64))))) (-.f64 (exp.f64 (*.f64 (*.f64 #s(literal 3/4 binary64) f) (PI.f64))) (exp.f64 (*.f64 (*.f64 #s(literal -3/4 binary64) (PI.f64)) f)))))
(log (/ (* (+ 1 (+ (exp (neg (* 1/2 (* f (PI))))) (exp (* 1/2 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI))))))) (- (exp (* 3/4 (* f (PI)))) (exp (neg (* 3/4 (* f (PI))))))))
(log.f64 (/.f64 (*.f64 (+.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) f))) (exp.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (PI.f64)) f))) (+.f64 (exp.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (PI.f64)) f)) (exp.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64))))) (-.f64 (exp.f64 (*.f64 (*.f64 #s(literal 3/4 binary64) f) (PI.f64))) (exp.f64 (*.f64 (*.f64 #s(literal -3/4 binary64) (PI.f64)) f)))))
(log (/ (* (+ 1 (+ (exp (neg (* 1/2 (* f (PI))))) (exp (* 1/2 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI))))))) (- (exp (* 3/4 (* f (PI)))) (exp (neg (* 3/4 (* f (PI))))))))
(log.f64 (/.f64 (*.f64 (+.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) f))) (exp.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (PI.f64)) f))) (+.f64 (exp.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (PI.f64)) f)) (exp.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64))))) (-.f64 (exp.f64 (*.f64 (*.f64 #s(literal 3/4 binary64) f) (PI.f64))) (exp.f64 (*.f64 (*.f64 #s(literal -3/4 binary64) (PI.f64)) f)))))

rewrite346.0ms (2.2%)

Memory
-4.0MiB live, 358.4MiB allocated
Rules
4 298×lower-*.f32
4 270×lower-*.f64
2 662×lower-/.f32
2 644×lower-/.f64
2 494×lower-fma.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
064479
0109292
1414262
22683240
08445239
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
28 → 1 544
Calls
Call 1
Inputs
(/.f64 (log.f64 (tanh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64))))) (*.f64 #s(literal 1/4 binary64) (PI.f64)))
(log.f64 (tanh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))))
(tanh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64))))
(*.f64 f (*.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 (*.f64 #s(literal 1/2 binary64) (PI.f64)) f))
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) f))))))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) f)))))
(/.f64 (*.f64 (neg.f64 (log.f64 (tanh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))))) (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (PI.f64)))
(neg.f64 (/.f64 (*.f64 (neg.f64 (log.f64 (tanh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))))) (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (PI.f64))))
(*.f64 (neg.f64 (log.f64 (tanh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))))) (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64))))
(neg.f64 (log.f64 (tanh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64))))))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (PI.f64) #s(literal 2/3 binary64))) (/.f64 (log.f64 (tanh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64))))) (*.f64 (cbrt.f64 (PI.f64)) #s(literal 1/4 binary64))))
(/.f64 #s(literal 1 binary64) (pow.f64 (PI.f64) #s(literal 2/3 binary64)))
(pow.f64 (PI.f64) #s(literal 2/3 binary64))
(PI.f64)
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (*.f64 (/.f64 (*.f64 (cosh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))) #s(literal 2 binary64)) (-.f64 (exp.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal 3/4 binary64))) (exp.f64 (neg.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal 3/4 binary64)))))) (+.f64 (-.f64 (exp.f64 (neg.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal 1/2 binary64)))) #s(literal -1 binary64)) (exp.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal 1/2 binary64))))))))
(*.f64 (/.f64 (*.f64 (cosh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))) #s(literal 2 binary64)) (-.f64 (exp.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal 3/4 binary64))) (exp.f64 (neg.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal 3/4 binary64)))))) (+.f64 (-.f64 (exp.f64 (neg.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal 1/2 binary64)))) #s(literal -1 binary64)) (exp.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal 1/2 binary64)))))
(neg.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal 3/4 binary64)))
#s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) f)))
(log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) f))))
(*.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) f)
(sqrt.f64 (PI.f64))
(cbrt.f64 (PI.f64))
(/.f64 (log.f64 (tanh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64))))) (*.f64 (cbrt.f64 (PI.f64)) #s(literal 1/4 binary64)))
(-.f64 (exp.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal 3/4 binary64))) (exp.f64 (neg.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal 3/4 binary64)))))
(/.f64 (*.f64 (cosh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))) #s(literal 2 binary64)) (-.f64 (exp.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal 3/4 binary64))) (exp.f64 (neg.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal 3/4 binary64))))))
(log.f64 (*.f64 (/.f64 (*.f64 (cosh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))) #s(literal 2 binary64)) (-.f64 (exp.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal 3/4 binary64))) (exp.f64 (neg.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal 3/4 binary64)))))) (+.f64 (-.f64 (exp.f64 (neg.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal 1/2 binary64)))) #s(literal -1 binary64)) (exp.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal 1/2 binary64))))))
Outputs
(*.f64 (/.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) f) (PI.f64)))) (neg.f64 (PI.f64))) #s(literal -4 binary64))
(*.f64 (/.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) f) (PI.f64)))) #s(literal 1 binary64)) (/.f64 #s(literal 4 binary64) (PI.f64)))
(*.f64 (/.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) f) (PI.f64)))) (PI.f64)) #s(literal 4 binary64))
(*.f64 (*.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) f) (PI.f64)))) (/.f64 #s(literal 1 binary64) (PI.f64))) #s(literal 4 binary64))
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eval492.0ms (3.2%)

Memory
7.5MiB live, 805.2MiB allocated
Compiler

Compiled 104 897 to 10 300 computations (90.2% saved)

prune323.0ms (2.1%)

Memory
22.5MiB live, 552.9MiB allocated
Pruning

20 alts after pruning (19 fresh and 1 done)

PrunedKeptTotal
New2 767172 784
Fresh14216
Picked415
Done000
Total2 785202 805
Accuracy
99.9%
Counts
2 805 → 20
Alt Table
Click to see full alt table
StatusAccuracyProgram
9.1%
(/.f64 (-.f64 (log1p.f64 (neg.f64 (exp.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 1/4 binary64) (PI.f64)))
98.3%
(/.f64 (*.f64 (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64))) (log.f64 (tanh.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) f) (PI.f64))))) (sqrt.f64 (PI.f64)))
96.9%
(/.f64 (log.f64 (/.f64 (expm1.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/2 binary64))) (+.f64 (exp.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/2 binary64))) #s(literal 1 binary64)))) (*.f64 #s(literal 1/4 binary64) (PI.f64)))
98.0%
(/.f64 (log.f64 (tanh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64))))) (*.f64 #s(literal 1/4 binary64) (*.f64 (sqrt.f64 (*.f64 (sqrt.f64 (PI.f64)) (PI.f64))) (sqrt.f64 (sqrt.f64 (PI.f64))))))
▶97.4%
(/.f64 (log.f64 (tanh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64))))) (*.f64 #s(literal 1/4 binary64) (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)))))
✓98.5%
(/.f64 (log.f64 (tanh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64))))) (*.f64 #s(literal 1/4 binary64) (PI.f64)))
▶96.7%
(/.f64 (log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/128 binary64) (*.f64 (PI.f64) (PI.f64))) (PI.f64) (fma.f64 #s(literal -1/768 binary64) (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64)) (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 #s(literal -1/32 binary64) (*.f64 (PI.f64) (PI.f64))) (PI.f64))))) f #s(literal 0 binary64)) f (*.f64 (PI.f64) #s(literal 1/4 binary64))) f))) (*.f64 #s(literal 1/4 binary64) (PI.f64)))
▶96.1%
(/.f64 (log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64)))) (*.f64 #s(literal 1/4 binary64) (PI.f64)))
98.2%
(*.f64 (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64))) (/.f64 (neg.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) f) (PI.f64))))) (neg.f64 (sqrt.f64 (PI.f64)))))
96.0%
(*.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (neg.f64 (log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 #s(literal 4 binary64) (*.f64 (PI.f64) f))))))
▶98.4%
(*.f64 (*.f64 (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64))) (log.f64 (tanh.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) f) (PI.f64))))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64))))
96.4%
(neg.f64 (/.f64 (*.f64 (neg.f64 (log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/128 binary64) (*.f64 (PI.f64) (PI.f64))) (PI.f64) (fma.f64 #s(literal -1/768 binary64) (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64)) (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 #s(literal -1/32 binary64) (*.f64 (PI.f64) (PI.f64))) (PI.f64))))) f #s(literal 0 binary64)) f (*.f64 (PI.f64) #s(literal 1/4 binary64))) f)))) (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (PI.f64))))
▶95.9%
(neg.f64 (/.f64 (*.f64 (neg.f64 (log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64))))) (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (PI.f64))))
96.0%
(neg.f64 (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) (log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 #s(literal 4 binary64) (*.f64 (PI.f64) f)))))))
94.7%
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))) #s(literal 4 binary64))) (log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) f))))))
96.7%
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -2 binary64) (*.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) #s(literal 2 binary64)) #s(literal 1/192 binary64)) (*.f64 (+.f64 (PI.f64) (PI.f64)) #s(literal 1/16 binary64))) f) f (/.f64 #s(literal 4 binary64) (PI.f64))) f)))))
96.7%
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 #s(approx (* (/ (* (cosh (* f (* 1/4 (PI)))) 2) (- (exp (* (* f (PI)) 3/4)) (exp (neg (* (* f (PI)) 3/4))))) (+ (- (exp (neg (* (* f (PI)) 1/2))) -1) (exp (* (* f (PI)) 1/2)))) (/.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 2 binary64) f) (fma.f64 #s(literal -3 binary64) (*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64)) (/.f64 #s(literal 9/64 binary64) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 9/4 binary64)))) (*.f64 #s(literal 11/32 binary64) (*.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 #s(literal 3/2 binary64) (PI.f64)))))) #s(literal 0 binary64)) f (/.f64 #s(literal 6 binary64) (*.f64 #s(literal 3/2 binary64) (PI.f64)))) f)))))
96.0%
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 #s(approx (* (/ (* (cosh (* f (* 1/4 (PI)))) 2) (- (exp (* (* f (PI)) 3/4)) (exp (neg (* (* f (PI)) 3/4))))) (+ (- (exp (neg (* (* f (PI)) 1/2))) -1) (exp (* (* f (PI)) 1/2)))) (/.f64 #s(literal 6 binary64) (*.f64 (*.f64 #s(literal 3/2 binary64) (PI.f64)) f))))))
95.5%
(neg.f64 (*.f64 (*.f64 (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64)))) (log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) f))))))
96.1%
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (*.f64 (-.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (log.f64 f)) (/.f64 #s(literal -4 binary64) (PI.f64))))
Compiler

Compiled 866 to 598 computations (30.9% saved)

simplify168.0ms (1.1%)

Memory
4.8MiB live, 156.5MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(tanh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64))))
cost-diff0
(log.f64 (tanh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))))
cost-diff0
(/.f64 (log.f64 (tanh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64))))) (*.f64 #s(literal 1/4 binary64) (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)))))
cost-diff1600
(*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)))
cost-diff64
(fma.f64 (fma.f64 (*.f64 #s(literal -1/128 binary64) (*.f64 (PI.f64) (PI.f64))) (PI.f64) (fma.f64 #s(literal -1/768 binary64) (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64)) (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 #s(literal -1/32 binary64) (*.f64 (PI.f64) (PI.f64))) (PI.f64))))) f #s(literal 0 binary64))
cost-diff320
(*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 #s(literal -1/32 binary64) (*.f64 (PI.f64) (PI.f64))) (PI.f64)))
cost-diff1024
(fma.f64 #s(literal -1/768 binary64) (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64)) (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 #s(literal -1/32 binary64) (*.f64 (PI.f64) (PI.f64))) (PI.f64))))
cost-diff1024
(fma.f64 (*.f64 #s(literal -1/128 binary64) (*.f64 (PI.f64) (PI.f64))) (PI.f64) (fma.f64 #s(literal -1/768 binary64) (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64)) (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 #s(literal -1/32 binary64) (*.f64 (PI.f64) (PI.f64))) (PI.f64)))))
cost-diff0
(neg.f64 (log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64)))))
cost-diff128
(*.f64 (neg.f64 (log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64))))) (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64))))
cost-diff128
(neg.f64 (/.f64 (*.f64 (neg.f64 (log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64))))) (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (PI.f64))))
cost-diff1984
(/.f64 (*.f64 (neg.f64 (log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64))))) (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (PI.f64)))
cost-diff0
(*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64))
cost-diff0
#s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64)))
cost-diff0
(log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64))))
cost-diff0
(/.f64 (log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64)))) (*.f64 #s(literal 1/4 binary64) (PI.f64)))
cost-diff0
(sqrt.f64 (PI.f64))
cost-diff0
(/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64)))
cost-diff0
(*.f64 (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64))) (log.f64 (tanh.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) f) (PI.f64)))))
cost-diff2304
(*.f64 (*.f64 (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64))) (log.f64 (tanh.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) f) (PI.f64))))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64))))
Rules
10 840×lower-fma.f32
10 832×lower-fma.f64
4 340×lower-*.f32
4 304×lower-*.f64
3 926×lower-+.f64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
054598
098580
1215474
2534459
31622417
43312417
56422417
09953417
Stop Event
1×iter limit
1×node limit
1×iter limit
Calls
Call 1
Inputs
(*.f64 (*.f64 (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64))) (log.f64 (tanh.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) f) (PI.f64))))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64))))
(*.f64 (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64))) (log.f64 (tanh.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) f) (PI.f64)))))
(/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64)))
#s(literal 4 binary64)
(sqrt.f64 (PI.f64))
(PI.f64)
(log.f64 (tanh.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) f) (PI.f64))))
(tanh.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) f) (PI.f64)))
(*.f64 (*.f64 #s(literal 1/4 binary64) f) (PI.f64))
(*.f64 #s(literal 1/4 binary64) f)
#s(literal 1/4 binary64)
f
(/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64)))
#s(literal 1 binary64)
(/.f64 (log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64)))) (*.f64 #s(literal 1/4 binary64) (PI.f64)))
(log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64))))
#s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64)))
(*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64))
(*.f64 (PI.f64) f)
(PI.f64)
f
#s(literal 1/4 binary64)
(*.f64 #s(literal 1/4 binary64) (PI.f64))
(neg.f64 (/.f64 (*.f64 (neg.f64 (log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64))))) (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (PI.f64))))
(/.f64 (*.f64 (neg.f64 (log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64))))) (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (PI.f64)))
(*.f64 (neg.f64 (log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64))))) (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64))))
(neg.f64 (log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64)))))
(log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64))))
#s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64)))
(*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64))
(*.f64 (PI.f64) f)
(PI.f64)
f
#s(literal 1/4 binary64)
(/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64)))
#s(literal 4 binary64)
(sqrt.f64 (PI.f64))
(/.f64 (log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/128 binary64) (*.f64 (PI.f64) (PI.f64))) (PI.f64) (fma.f64 #s(literal -1/768 binary64) (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64)) (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 #s(literal -1/32 binary64) (*.f64 (PI.f64) (PI.f64))) (PI.f64))))) f #s(literal 0 binary64)) f (*.f64 (PI.f64) #s(literal 1/4 binary64))) f))) (*.f64 #s(literal 1/4 binary64) (PI.f64)))
(log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/128 binary64) (*.f64 (PI.f64) (PI.f64))) (PI.f64) (fma.f64 #s(literal -1/768 binary64) (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64)) (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 #s(literal -1/32 binary64) (*.f64 (PI.f64) (PI.f64))) (PI.f64))))) f #s(literal 0 binary64)) f (*.f64 (PI.f64) #s(literal 1/4 binary64))) f)))
#s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/128 binary64) (*.f64 (PI.f64) (PI.f64))) (PI.f64) (fma.f64 #s(literal -1/768 binary64) (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64)) (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 #s(literal -1/32 binary64) (*.f64 (PI.f64) (PI.f64))) (PI.f64))))) f #s(literal 0 binary64)) f (*.f64 (PI.f64) #s(literal 1/4 binary64))) f))
(*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/128 binary64) (*.f64 (PI.f64) (PI.f64))) (PI.f64) (fma.f64 #s(literal -1/768 binary64) (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64)) (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 #s(literal -1/32 binary64) (*.f64 (PI.f64) (PI.f64))) (PI.f64))))) f #s(literal 0 binary64)) f (*.f64 (PI.f64) #s(literal 1/4 binary64))) f)
(fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/128 binary64) (*.f64 (PI.f64) (PI.f64))) (PI.f64) (fma.f64 #s(literal -1/768 binary64) (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64)) (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 #s(literal -1/32 binary64) (*.f64 (PI.f64) (PI.f64))) (PI.f64))))) f #s(literal 0 binary64)) f (*.f64 (PI.f64) #s(literal 1/4 binary64)))
(fma.f64 (fma.f64 (*.f64 #s(literal -1/128 binary64) (*.f64 (PI.f64) (PI.f64))) (PI.f64) (fma.f64 #s(literal -1/768 binary64) (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64)) (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 #s(literal -1/32 binary64) (*.f64 (PI.f64) (PI.f64))) (PI.f64))))) f #s(literal 0 binary64))
(fma.f64 (*.f64 #s(literal -1/128 binary64) (*.f64 (PI.f64) (PI.f64))) (PI.f64) (fma.f64 #s(literal -1/768 binary64) (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64)) (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 #s(literal -1/32 binary64) (*.f64 (PI.f64) (PI.f64))) (PI.f64)))))
(*.f64 #s(literal -1/128 binary64) (*.f64 (PI.f64) (PI.f64)))
#s(literal -1/128 binary64)
(*.f64 (PI.f64) (PI.f64))
(PI.f64)
(fma.f64 #s(literal -1/768 binary64) (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64)) (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 #s(literal -1/32 binary64) (*.f64 (PI.f64) (PI.f64))) (PI.f64))))
#s(literal -1/768 binary64)
(*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64))
(*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 #s(literal -1/32 binary64) (*.f64 (PI.f64) (PI.f64))) (PI.f64)))
#s(literal -1/8 binary64)
(*.f64 (*.f64 #s(literal -1/32 binary64) (*.f64 (PI.f64) (PI.f64))) (PI.f64))
(*.f64 #s(literal -1/32 binary64) (*.f64 (PI.f64) (PI.f64)))
#s(literal -1/32 binary64)
f
#s(literal 0 binary64)
(*.f64 (PI.f64) #s(literal 1/4 binary64))
#s(literal 1/4 binary64)
(*.f64 #s(literal 1/4 binary64) (PI.f64))
(/.f64 (log.f64 (tanh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64))))) (*.f64 #s(literal 1/4 binary64) (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)))))
(log.f64 (tanh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))))
(tanh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64))))
(*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))
f
(*.f64 #s(literal 1/4 binary64) (PI.f64))
#s(literal 1/4 binary64)
(PI.f64)
(*.f64 #s(literal 1/4 binary64) (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))))
(*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)))
(sqrt.f64 (PI.f64))
Outputs
(*.f64 (*.f64 (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64))) (log.f64 (tanh.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) f) (PI.f64))))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64))))
(*.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (log.f64 (tanh.f64 (*.f64 (*.f64 f #s(literal 1/4 binary64)) (PI.f64)))))
(*.f64 (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64))) (log.f64 (tanh.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) f) (PI.f64)))))
(*.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 f #s(literal 1/4 binary64)) (PI.f64)))) (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64))))
(/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64)))
#s(literal 4 binary64)
(sqrt.f64 (PI.f64))
(PI.f64)
(log.f64 (tanh.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) f) (PI.f64))))
(log.f64 (tanh.f64 (*.f64 (*.f64 f #s(literal 1/4 binary64)) (PI.f64))))
(tanh.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) f) (PI.f64)))
(tanh.f64 (*.f64 (*.f64 f #s(literal 1/4 binary64)) (PI.f64)))
(*.f64 (*.f64 #s(literal 1/4 binary64) f) (PI.f64))
(*.f64 (*.f64 f #s(literal 1/4 binary64)) (PI.f64))
(*.f64 #s(literal 1/4 binary64) f)
(*.f64 f #s(literal 1/4 binary64))
#s(literal 1/4 binary64)
f
(/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64)))
#s(literal 1 binary64)
(/.f64 (log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64)))) (*.f64 #s(literal 1/4 binary64) (PI.f64)))
(*.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (*.f64 f #s(literal 1/4 binary64)) (PI.f64)))))
(log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64))))
(log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (*.f64 f #s(literal 1/4 binary64)) (PI.f64))))
#s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64)))
#s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (*.f64 f #s(literal 1/4 binary64)) (PI.f64)))
(*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64))
(*.f64 (*.f64 f #s(literal 1/4 binary64)) (PI.f64))
(*.f64 (PI.f64) f)
(*.f64 f (PI.f64))
(PI.f64)
f
#s(literal 1/4 binary64)
(*.f64 #s(literal 1/4 binary64) (PI.f64))
(neg.f64 (/.f64 (*.f64 (neg.f64 (log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64))))) (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (PI.f64))))
(*.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (*.f64 f #s(literal 1/4 binary64)) (PI.f64)))))
(/.f64 (*.f64 (neg.f64 (log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64))))) (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (PI.f64)))
(*.f64 (/.f64 #s(literal -4 binary64) (PI.f64)) (log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (*.f64 f #s(literal 1/4 binary64)) (PI.f64)))))
(*.f64 (neg.f64 (log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64))))) (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64))))
(*.f64 (/.f64 #s(literal -4 binary64) (sqrt.f64 (PI.f64))) (log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (*.f64 f #s(literal 1/4 binary64)) (PI.f64)))))
(neg.f64 (log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64)))))
(neg.f64 (log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (*.f64 f #s(literal 1/4 binary64)) (PI.f64)))))
(log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64))))
(log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (*.f64 f #s(literal 1/4 binary64)) (PI.f64))))
#s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64)))
#s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (*.f64 f #s(literal 1/4 binary64)) (PI.f64)))
(*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64))
(*.f64 (*.f64 f #s(literal 1/4 binary64)) (PI.f64))
(*.f64 (PI.f64) f)
(*.f64 f (PI.f64))
(PI.f64)
f
#s(literal 1/4 binary64)
(/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64)))
#s(literal 4 binary64)
(sqrt.f64 (PI.f64))
(/.f64 (log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/128 binary64) (*.f64 (PI.f64) (PI.f64))) (PI.f64) (fma.f64 #s(literal -1/768 binary64) (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64)) (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 #s(literal -1/32 binary64) (*.f64 (PI.f64) (PI.f64))) (PI.f64))))) f #s(literal 0 binary64)) f (*.f64 (PI.f64) #s(literal 1/4 binary64))) f))) (*.f64 #s(literal 1/4 binary64) (PI.f64)))
(/.f64 (log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64)) #s(literal -1/192 binary64)) f) f (*.f64 #s(literal 1/4 binary64) (PI.f64))) f))) (*.f64 #s(literal 1/4 binary64) (PI.f64)))
(log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/128 binary64) (*.f64 (PI.f64) (PI.f64))) (PI.f64) (fma.f64 #s(literal -1/768 binary64) (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64)) (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 #s(literal -1/32 binary64) (*.f64 (PI.f64) (PI.f64))) (PI.f64))))) f #s(literal 0 binary64)) f (*.f64 (PI.f64) #s(literal 1/4 binary64))) f)))
(log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64)) #s(literal -1/192 binary64)) f) f (*.f64 #s(literal 1/4 binary64) (PI.f64))) f)))
#s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/128 binary64) (*.f64 (PI.f64) (PI.f64))) (PI.f64) (fma.f64 #s(literal -1/768 binary64) (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64)) (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 #s(literal -1/32 binary64) (*.f64 (PI.f64) (PI.f64))) (PI.f64))))) f #s(literal 0 binary64)) f (*.f64 (PI.f64) #s(literal 1/4 binary64))) f))
#s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64)) #s(literal -1/192 binary64)) f) f (*.f64 #s(literal 1/4 binary64) (PI.f64))) f))
(*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/128 binary64) (*.f64 (PI.f64) (PI.f64))) (PI.f64) (fma.f64 #s(literal -1/768 binary64) (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64)) (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 #s(literal -1/32 binary64) (*.f64 (PI.f64) (PI.f64))) (PI.f64))))) f #s(literal 0 binary64)) f (*.f64 (PI.f64) #s(literal 1/4 binary64))) f)
(*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64)) #s(literal -1/192 binary64)) f) f (*.f64 #s(literal 1/4 binary64) (PI.f64))) f)
(fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/128 binary64) (*.f64 (PI.f64) (PI.f64))) (PI.f64) (fma.f64 #s(literal -1/768 binary64) (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64)) (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 #s(literal -1/32 binary64) (*.f64 (PI.f64) (PI.f64))) (PI.f64))))) f #s(literal 0 binary64)) f (*.f64 (PI.f64) #s(literal 1/4 binary64)))
(fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64)) #s(literal -1/192 binary64)) f) f (*.f64 #s(literal 1/4 binary64) (PI.f64)))
(fma.f64 (fma.f64 (*.f64 #s(literal -1/128 binary64) (*.f64 (PI.f64) (PI.f64))) (PI.f64) (fma.f64 #s(literal -1/768 binary64) (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64)) (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 #s(literal -1/32 binary64) (*.f64 (PI.f64) (PI.f64))) (PI.f64))))) f #s(literal 0 binary64))
(*.f64 (*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64)) #s(literal -1/192 binary64)) f)
(fma.f64 (*.f64 #s(literal -1/128 binary64) (*.f64 (PI.f64) (PI.f64))) (PI.f64) (fma.f64 #s(literal -1/768 binary64) (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64)) (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 #s(literal -1/32 binary64) (*.f64 (PI.f64) (PI.f64))) (PI.f64)))))
(*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64)) #s(literal -1/192 binary64))
(*.f64 #s(literal -1/128 binary64) (*.f64 (PI.f64) (PI.f64)))
(*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal -1/128 binary64))
#s(literal -1/128 binary64)
(*.f64 (PI.f64) (PI.f64))
(PI.f64)
(fma.f64 #s(literal -1/768 binary64) (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64)) (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 #s(literal -1/32 binary64) (*.f64 (PI.f64) (PI.f64))) (PI.f64))))
(*.f64 #s(literal 1/384 binary64) (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64)))
#s(literal -1/768 binary64)
(*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64))
(*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 #s(literal -1/32 binary64) (*.f64 (PI.f64) (PI.f64))) (PI.f64)))
(*.f64 #s(literal 1/256 binary64) (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64)))
#s(literal -1/8 binary64)
(*.f64 (*.f64 #s(literal -1/32 binary64) (*.f64 (PI.f64) (PI.f64))) (PI.f64))
(*.f64 #s(literal -1/32 binary64) (*.f64 (PI.f64) (PI.f64)))
#s(literal -1/32 binary64)
f
#s(literal 0 binary64)
(*.f64 (PI.f64) #s(literal 1/4 binary64))
(*.f64 #s(literal 1/4 binary64) (PI.f64))
#s(literal 1/4 binary64)
(*.f64 #s(literal 1/4 binary64) (PI.f64))
(/.f64 (log.f64 (tanh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64))))) (*.f64 #s(literal 1/4 binary64) (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)))))
(*.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (log.f64 (tanh.f64 (*.f64 (*.f64 f #s(literal 1/4 binary64)) (PI.f64)))))
(log.f64 (tanh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))))
(log.f64 (tanh.f64 (*.f64 (*.f64 f #s(literal 1/4 binary64)) (PI.f64))))
(tanh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64))))
(tanh.f64 (*.f64 (*.f64 f #s(literal 1/4 binary64)) (PI.f64)))
(*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))
(*.f64 (*.f64 f #s(literal 1/4 binary64)) (PI.f64))
f
(*.f64 #s(literal 1/4 binary64) (PI.f64))
#s(literal 1/4 binary64)
(PI.f64)
(*.f64 #s(literal 1/4 binary64) (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))))
(*.f64 #s(literal 1/4 binary64) (PI.f64))
(*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)))
(PI.f64)
(sqrt.f64 (PI.f64))

localize177.0ms (1.1%)

Memory
-30.7MiB live, 192.0MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0.3359375
(/.f64 (log.f64 (tanh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64))))) (*.f64 #s(literal 1/4 binary64) (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)))))
accuracy0.6329505236440574
(log.f64 (tanh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))))
accuracy1.0
(*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)))
accuracy1.0
(sqrt.f64 (PI.f64))
accuracy1.0
(fma.f64 (*.f64 #s(literal -1/128 binary64) (*.f64 (PI.f64) (PI.f64))) (PI.f64) (fma.f64 #s(literal -1/768 binary64) (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64)) (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 #s(literal -1/32 binary64) (*.f64 (PI.f64) (PI.f64))) (PI.f64)))))
accuracy1.0
(*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64))
accuracy1.0
(*.f64 (*.f64 #s(literal -1/32 binary64) (*.f64 (PI.f64) (PI.f64))) (PI.f64))
accuracy1.7938124443792418
#s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/128 binary64) (*.f64 (PI.f64) (PI.f64))) (PI.f64) (fma.f64 #s(literal -1/768 binary64) (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64)) (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 #s(literal -1/32 binary64) (*.f64 (PI.f64) (PI.f64))) (PI.f64))))) f #s(literal 0 binary64)) f (*.f64 (PI.f64) #s(literal 1/4 binary64))) f))
accuracy0.29296875
(/.f64 (*.f64 (neg.f64 (log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64))))) (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (PI.f64)))
accuracy0.6329505236440574
(log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64))))
accuracy1.0
(sqrt.f64 (PI.f64))
accuracy2.0858232319859606
#s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64)))
accuracy0.24609375
(*.f64 (PI.f64) f)
accuracy0.3359375
(/.f64 (log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64)))) (*.f64 #s(literal 1/4 binary64) (PI.f64)))
accuracy0.6329505236440574
(log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64))))
accuracy2.0858232319859606
#s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64)))
accuracy0.26171875
(*.f64 (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64))) (log.f64 (tanh.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) f) (PI.f64)))))
accuracy0.2734375
(*.f64 (*.f64 (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64))) (log.f64 (tanh.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) f) (PI.f64))))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64))))
accuracy0.6329505236440574
(log.f64 (tanh.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) f) (PI.f64))))
accuracy1.0
(sqrt.f64 (PI.f64))
Samples
110.0ms250×0valid
7.0ms4×2valid
2.0ms2×1valid
Compiler

Compiled 458 to 51 computations (88.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 74.0ms
ival-mult: 34.0ms (46% of total)
ival-div: 9.0ms (12.2% of total)
ival-log: 9.0ms (12.2% of total)
const: 8.0ms (10.8% of total)
ival-add: 4.0ms (5.4% of total)
ival-tanh: 3.0ms (4.1% of total)
ival-sqrt: 2.0ms (2.7% of total)
ival-neg: 2.0ms (2.7% of total)
ival-pi: 1.0ms (1.4% of total)
exact: 1.0ms (1.4% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series41.0ms (0.3%)

Memory
12.3MiB live, 49.5MiB allocated
Counts
25 → 204
Calls
Call 1
Inputs
#s(alt (*.f64 (*.f64 (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64))) (log.f64 (tanh.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) f) (PI.f64))))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64)))) (patch (*.f64 (*.f64 (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64))) (log.f64 (tanh.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) f) (PI.f64))))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64)))) #<representation binary64>) () ())
#s(alt (*.f64 (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64))) (log.f64 (tanh.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) f) (PI.f64))))) (patch (*.f64 (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64))) (log.f64 (tanh.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) f) (PI.f64))))) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64))) (patch (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64))) #<representation binary64>) () ())
#s(alt (sqrt.f64 (PI.f64)) (patch (sqrt.f64 (PI.f64)) #<representation binary64>) () ())
#s(alt (/.f64 (log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64)))) (*.f64 #s(literal 1/4 binary64) (PI.f64))) (patch (/.f64 (log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64)))) (*.f64 #s(literal 1/4 binary64) (PI.f64))) #<representation binary64>) () ())
#s(alt (log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64)))) (patch (log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64)))) #<representation binary64>) () ())
#s(alt #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64))) (patch #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64))) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64)) (patch (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64)) #<representation binary64>) () ())
#s(alt (/.f64 (*.f64 (neg.f64 (log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64))))) (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (PI.f64))) (patch (/.f64 (*.f64 (neg.f64 (log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64))))) (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (PI.f64))) #<representation binary64>) () ())
#s(alt (neg.f64 (/.f64 (*.f64 (neg.f64 (log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64))))) (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (PI.f64)))) (patch (neg.f64 (/.f64 (*.f64 (neg.f64 (log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64))))) (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (PI.f64)))) #<representation binary64>) () ())
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Outputs
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#s(alt (* f (PI)) (taylor -inf f) (#s(alt (*.f64 (PI.f64) f) (patch (*.f64 (PI.f64) f) #<representation binary64>) () ())) ())
#s(alt (* f (PI)) (taylor -inf f) (#s(alt (*.f64 (PI.f64) f) (patch (*.f64 (PI.f64) f) #<representation binary64>) () ())) ())
#s(alt (* f (PI)) (taylor -inf f) (#s(alt (*.f64 (PI.f64) f) (patch (*.f64 (PI.f64) f) #<representation binary64>) () ())) ())
#s(alt (* f (PI)) (taylor -inf f) (#s(alt (*.f64 (PI.f64) f) (patch (*.f64 (PI.f64) f) #<representation binary64>) () ())) ())
#s(alt (/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI))))))) (taylor -inf f) (#s(alt #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/128 binary64) (*.f64 (PI.f64) (PI.f64))) (PI.f64) (fma.f64 #s(literal -1/768 binary64) (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64)) (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 #s(literal -1/32 binary64) (*.f64 (PI.f64) (PI.f64))) (PI.f64))))) f #s(literal 0 binary64)) f (*.f64 (PI.f64) #s(literal 1/4 binary64))) f)) (patch #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/128 binary64) (*.f64 (PI.f64) (PI.f64))) (PI.f64) (fma.f64 #s(literal -1/768 binary64) (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64)) (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 #s(literal -1/32 binary64) (*.f64 (PI.f64) (PI.f64))) (PI.f64))))) f #s(literal 0 binary64)) f (*.f64 (PI.f64) #s(literal 1/4 binary64))) f)) #<representation binary64>) () ())) ())
#s(alt (/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI))))))) (taylor -inf f) (#s(alt #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/128 binary64) (*.f64 (PI.f64) (PI.f64))) (PI.f64) (fma.f64 #s(literal -1/768 binary64) (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64)) (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 #s(literal -1/32 binary64) (*.f64 (PI.f64) (PI.f64))) (PI.f64))))) f #s(literal 0 binary64)) f (*.f64 (PI.f64) #s(literal 1/4 binary64))) f)) (patch #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/128 binary64) (*.f64 (PI.f64) (PI.f64))) (PI.f64) (fma.f64 #s(literal -1/768 binary64) (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64)) (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 #s(literal -1/32 binary64) (*.f64 (PI.f64) (PI.f64))) (PI.f64))))) f #s(literal 0 binary64)) f (*.f64 (PI.f64) #s(literal 1/4 binary64))) f)) #<representation binary64>) () ())) ())
#s(alt (/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI))))))) (taylor -inf f) (#s(alt #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/128 binary64) (*.f64 (PI.f64) (PI.f64))) (PI.f64) (fma.f64 #s(literal -1/768 binary64) (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64)) (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 #s(literal -1/32 binary64) (*.f64 (PI.f64) (PI.f64))) (PI.f64))))) f #s(literal 0 binary64)) f (*.f64 (PI.f64) #s(literal 1/4 binary64))) f)) (patch #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/128 binary64) (*.f64 (PI.f64) (PI.f64))) (PI.f64) (fma.f64 #s(literal -1/768 binary64) (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64)) (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 #s(literal -1/32 binary64) (*.f64 (PI.f64) (PI.f64))) (PI.f64))))) f #s(literal 0 binary64)) f (*.f64 (PI.f64) #s(literal 1/4 binary64))) f)) #<representation binary64>) () ())) ())
#s(alt (/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI))))))) (taylor -inf f) (#s(alt #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/128 binary64) (*.f64 (PI.f64) (PI.f64))) (PI.f64) (fma.f64 #s(literal -1/768 binary64) (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64)) (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 #s(literal -1/32 binary64) (*.f64 (PI.f64) (PI.f64))) (PI.f64))))) f #s(literal 0 binary64)) f (*.f64 (PI.f64) #s(literal 1/4 binary64))) f)) (patch #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/128 binary64) (*.f64 (PI.f64) (PI.f64))) (PI.f64) (fma.f64 #s(literal -1/768 binary64) (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64)) (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 #s(literal -1/32 binary64) (*.f64 (PI.f64) (PI.f64))) (PI.f64))))) f #s(literal 0 binary64)) f (*.f64 (PI.f64) #s(literal 1/4 binary64))) f)) #<representation binary64>) () ())) ())
Calls

3 calls:

TimeVariablePointExpression
15.0ms
f
@-inf
((* (* (/ 4 (sqrt (PI))) (log (tanh (* (* 1/4 f) (PI))))) (/ 1 (sqrt (PI)))) (* (/ 4 (sqrt (PI))) (log (tanh (* (* 1/4 f) (PI))))) (/ 4 (sqrt (PI))) (sqrt (PI)) (/ (log (tanh (* f (* 1/4 (PI))))) (* 1/4 (PI))) (log (tanh (* f (* 1/4 (PI))))) (tanh (* f (* 1/4 (PI)))) (* (* (PI) f) 1/4) (/ (* (neg (log (tanh (* f (* 1/4 (PI)))))) (/ 4 (sqrt (PI)))) (sqrt (PI))) (neg (/ (* (neg (log (tanh (* f (* 1/4 (PI)))))) (/ 4 (sqrt (PI)))) (sqrt (PI)))) (* (neg (log (tanh (* f (* 1/4 (PI)))))) (/ 4 (sqrt (PI)))) (neg (log (tanh (* f (* 1/4 (PI)))))) (+ (* (* -1/128 (* (PI) (PI))) (PI)) (+ (* -1/768 (* (* (PI) (PI)) (PI))) (* -1/8 (* (* -1/32 (* (PI) (PI))) (PI))))) (+ (* -1/768 (* (* (PI) (PI)) (PI))) (* -1/8 (* (* -1/32 (* (PI) (PI))) (PI)))) (* -1/8 (* (* -1/32 (* (PI) (PI))) (PI))) (+ (* (+ (* (* -1/128 (* (PI) (PI))) (PI)) (+ (* -1/768 (* (* (PI) (PI)) (PI))) (* -1/8 (* (* -1/32 (* (PI) (PI))) (PI))))) f) 0) (* (sqrt (PI)) (sqrt (PI))) (/ (log (tanh (* f (* 1/4 (PI))))) (* 1/4 (* (sqrt (PI)) (sqrt (PI))))) (log (tanh (* f (* 1/4 (PI))))) (tanh (* f (* 1/4 (PI)))) (log (tanh (* (* 1/4 f) (PI)))) (* (PI) f) (tanh (* f (* 1/4 (PI)))) (* (* -1/32 (* (PI) (PI))) (PI)) (* (* (PI) (PI)) (PI)))
10.0ms
f
@inf
((* (* (/ 4 (sqrt (PI))) (log (tanh (* (* 1/4 f) (PI))))) (/ 1 (sqrt (PI)))) (* (/ 4 (sqrt (PI))) (log (tanh (* (* 1/4 f) (PI))))) (/ 4 (sqrt (PI))) (sqrt (PI)) (/ (log (tanh (* f (* 1/4 (PI))))) (* 1/4 (PI))) (log (tanh (* f (* 1/4 (PI))))) (tanh (* f (* 1/4 (PI)))) (* (* (PI) f) 1/4) (/ (* (neg (log (tanh (* f (* 1/4 (PI)))))) (/ 4 (sqrt (PI)))) (sqrt (PI))) (neg (/ (* (neg (log (tanh (* f (* 1/4 (PI)))))) (/ 4 (sqrt (PI)))) (sqrt (PI)))) (* (neg (log (tanh (* f (* 1/4 (PI)))))) (/ 4 (sqrt (PI)))) (neg (log (tanh (* f (* 1/4 (PI)))))) (+ (* (* -1/128 (* (PI) (PI))) (PI)) (+ (* -1/768 (* (* (PI) (PI)) (PI))) (* -1/8 (* (* -1/32 (* (PI) (PI))) (PI))))) (+ (* -1/768 (* (* (PI) (PI)) (PI))) (* -1/8 (* (* -1/32 (* (PI) (PI))) (PI)))) (* -1/8 (* (* -1/32 (* (PI) (PI))) (PI))) (+ (* (+ (* (* -1/128 (* (PI) (PI))) (PI)) (+ (* -1/768 (* (* (PI) (PI)) (PI))) (* -1/8 (* (* -1/32 (* (PI) (PI))) (PI))))) f) 0) (* (sqrt (PI)) (sqrt (PI))) (/ (log (tanh (* f (* 1/4 (PI))))) (* 1/4 (* (sqrt (PI)) (sqrt (PI))))) (log (tanh (* f (* 1/4 (PI))))) (tanh (* f (* 1/4 (PI)))) (log (tanh (* (* 1/4 f) (PI)))) (* (PI) f) (tanh (* f (* 1/4 (PI)))) (* (* -1/32 (* (PI) (PI))) (PI)) (* (* (PI) (PI)) (PI)))
4.0ms
f
@0
((* (* (/ 4 (sqrt (PI))) (log (tanh (* (* 1/4 f) (PI))))) (/ 1 (sqrt (PI)))) (* (/ 4 (sqrt (PI))) (log (tanh (* (* 1/4 f) (PI))))) (/ 4 (sqrt (PI))) (sqrt (PI)) (/ (log (tanh (* f (* 1/4 (PI))))) (* 1/4 (PI))) (log (tanh (* f (* 1/4 (PI))))) (tanh (* f (* 1/4 (PI)))) (* (* (PI) f) 1/4) (/ (* (neg (log (tanh (* f (* 1/4 (PI)))))) (/ 4 (sqrt (PI)))) (sqrt (PI))) (neg (/ (* (neg (log (tanh (* f (* 1/4 (PI)))))) (/ 4 (sqrt (PI)))) (sqrt (PI)))) (* (neg (log (tanh (* f (* 1/4 (PI)))))) (/ 4 (sqrt (PI)))) (neg (log (tanh (* f (* 1/4 (PI)))))) (+ (* (* -1/128 (* (PI) (PI))) (PI)) (+ (* -1/768 (* (* (PI) (PI)) (PI))) (* -1/8 (* (* -1/32 (* (PI) (PI))) (PI))))) (+ (* -1/768 (* (* (PI) (PI)) (PI))) (* -1/8 (* (* -1/32 (* (PI) (PI))) (PI)))) (* -1/8 (* (* -1/32 (* (PI) (PI))) (PI))) (+ (* (+ (* (* -1/128 (* (PI) (PI))) (PI)) (+ (* -1/768 (* (* (PI) (PI)) (PI))) (* -1/8 (* (* -1/32 (* (PI) (PI))) (PI))))) f) 0) (* (sqrt (PI)) (sqrt (PI))) (/ (log (tanh (* f (* 1/4 (PI))))) (* 1/4 (* (sqrt (PI)) (sqrt (PI))))) (log (tanh (* f (* 1/4 (PI))))) (tanh (* f (* 1/4 (PI)))) (log (tanh (* (* 1/4 f) (PI)))) (* (PI) f) (tanh (* f (* 1/4 (PI)))) (* (* -1/32 (* (PI) (PI))) (PI)) (* (* (PI) (PI)) (PI)))

simplify160.0ms (1%)

Memory
10.4MiB live, 161.6MiB allocated
Algorithm
1×egg-herbie
Rules
12 380×lower-fma.f64
12 380×lower-fma.f32
5 538×lower-+.f64
5 538×lower-+.f32
2 916×lower-*.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02507660
18236255
234335590
080695412
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))))
(+ (* 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))))))
(+ (* 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))))))))
(* 4 (* (sqrt (/ 1 (PI))) (+ (log f) (log (* 1/4 (PI))))))
(+ (* 4 (* (sqrt (/ 1 (PI))) (+ (log f) (log (* 1/4 (PI)))))) (* 8 (* (* f (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2)))) (sqrt (/ 1 (pow (PI) 3))))))
(+ (* 4 (* (sqrt (/ 1 (PI))) (+ (log f) (log (* 1/4 (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))))) (sqrt (/ 1 (PI))))) (* 8 (* (sqrt (/ 1 (pow (PI) 3))) (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))))))))
(+ (* 4 (* (sqrt (/ 1 (PI))) (+ (log f) (log (* 1/4 (PI)))))) (* f (+ (* 8 (* (sqrt (/ 1 (pow (PI) 3))) (+ (* -1/16 (pow (PI) 2)) (* 1/16 (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)))))) (sqrt (/ 1 (PI))))) (* 2 (* (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)))))))))))
(* 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))))
(+ (* 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))))))
(+ (* 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))))))))
(+ (log f) (log (* 1/4 (PI))))
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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.f64 (/.f64 (-.f64 (exp.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64))) (exp.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal -1/4 binary64)))) (+.f64 (exp.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal -1/4 binary64))) (exp.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64))))))
(log (/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI))))))))
(log.f64 (/.f64 (-.f64 (exp.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64))) (exp.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal -1/4 binary64)))) (+.f64 (exp.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal -1/4 binary64))) (exp.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64))))))
(log (/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI))))))))
(log.f64 (/.f64 (-.f64 (exp.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64))) (exp.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal -1/4 binary64)))) (+.f64 (exp.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal -1/4 binary64))) (exp.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64))))))
(log (/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI))))))))
(log.f64 (/.f64 (-.f64 (exp.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64))) (exp.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal -1/4 binary64)))) (+.f64 (exp.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal -1/4 binary64))) (exp.f64 (*.f64 (*.f64 (PI.f64) f) #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 (*.f64 (PI.f64) f) #s(literal 1/4 binary64))) (exp.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal -1/4 binary64)))) (+.f64 (exp.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal -1/4 binary64))) (exp.f64 (*.f64 (*.f64 (PI.f64) f) #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 (*.f64 (PI.f64) f) #s(literal 1/4 binary64))) (exp.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal -1/4 binary64)))) (+.f64 (exp.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal -1/4 binary64))) (exp.f64 (*.f64 (*.f64 (PI.f64) f) #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 (*.f64 (PI.f64) f) #s(literal 1/4 binary64))) (exp.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal -1/4 binary64)))) (+.f64 (exp.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal -1/4 binary64))) (exp.f64 (*.f64 (*.f64 (PI.f64) f) #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 (*.f64 (PI.f64) f) #s(literal 1/4 binary64))) (exp.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal -1/4 binary64)))) (+.f64 (exp.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal -1/4 binary64))) (exp.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64)))))
(log (/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI))))))))
(log.f64 (/.f64 (-.f64 (exp.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64))) (exp.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal -1/4 binary64)))) (+.f64 (exp.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal -1/4 binary64))) (exp.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64))))))
(log (/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI))))))))
(log.f64 (/.f64 (-.f64 (exp.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64))) (exp.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal -1/4 binary64)))) (+.f64 (exp.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal -1/4 binary64))) (exp.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64))))))
(log (/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI))))))))
(log.f64 (/.f64 (-.f64 (exp.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64))) (exp.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal -1/4 binary64)))) (+.f64 (exp.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal -1/4 binary64))) (exp.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64))))))
(log (/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI))))))))
(log.f64 (/.f64 (-.f64 (exp.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64))) (exp.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal -1/4 binary64)))) (+.f64 (exp.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal -1/4 binary64))) (exp.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64))))))
(* f (PI))
(*.f64 (PI.f64) f)
(* f (PI))
(*.f64 (PI.f64) f)
(* f (PI))
(*.f64 (PI.f64) f)
(* f (PI))
(*.f64 (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 (*.f64 (PI.f64) f) #s(literal 1/4 binary64))) (exp.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal -1/4 binary64)))) (+.f64 (exp.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal -1/4 binary64))) (exp.f64 (*.f64 (*.f64 (PI.f64) f) #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 (*.f64 (PI.f64) f) #s(literal 1/4 binary64))) (exp.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal -1/4 binary64)))) (+.f64 (exp.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal -1/4 binary64))) (exp.f64 (*.f64 (*.f64 (PI.f64) f) #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 (*.f64 (PI.f64) f) #s(literal 1/4 binary64))) (exp.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal -1/4 binary64)))) (+.f64 (exp.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal -1/4 binary64))) (exp.f64 (*.f64 (*.f64 (PI.f64) f) #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 (*.f64 (PI.f64) f) #s(literal 1/4 binary64))) (exp.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal -1/4 binary64)))) (+.f64 (exp.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal -1/4 binary64))) (exp.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64)))))

rewrite198.0ms (1.3%)

Memory
-2.9MiB live, 225.1MiB allocated
Rules
5 354×lower-fma.f32
5 346×lower-fma.f64
3 850×lower-*.f32
3 814×lower-*.f64
3 236×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
052329
094290
1314253
21917251
08455248
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
25 → 878
Calls
Call 1
Inputs
(*.f64 (*.f64 (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64))) (log.f64 (tanh.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) f) (PI.f64))))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64))))
(*.f64 (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64))) (log.f64 (tanh.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) f) (PI.f64)))))
(/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64)))
(sqrt.f64 (PI.f64))
(/.f64 (log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64)))) (*.f64 #s(literal 1/4 binary64) (PI.f64)))
(log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64))))
#s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64)))
(*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64))
(/.f64 (*.f64 (neg.f64 (log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64))))) (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (PI.f64)))
(neg.f64 (/.f64 (*.f64 (neg.f64 (log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64))))) (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (PI.f64))))
(*.f64 (neg.f64 (log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64))))) (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64))))
(neg.f64 (log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64)))))
(fma.f64 (*.f64 #s(literal -1/128 binary64) (*.f64 (PI.f64) (PI.f64))) (PI.f64) (fma.f64 #s(literal -1/768 binary64) (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64)) (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 #s(literal -1/32 binary64) (*.f64 (PI.f64) (PI.f64))) (PI.f64)))))
(fma.f64 #s(literal -1/768 binary64) (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64)) (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 #s(literal -1/32 binary64) (*.f64 (PI.f64) (PI.f64))) (PI.f64))))
(*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 #s(literal -1/32 binary64) (*.f64 (PI.f64) (PI.f64))) (PI.f64)))
(fma.f64 (fma.f64 (*.f64 #s(literal -1/128 binary64) (*.f64 (PI.f64) (PI.f64))) (PI.f64) (fma.f64 #s(literal -1/768 binary64) (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64)) (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 #s(literal -1/32 binary64) (*.f64 (PI.f64) (PI.f64))) (PI.f64))))) f #s(literal 0 binary64))
(*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)))
(/.f64 (log.f64 (tanh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64))))) (*.f64 #s(literal 1/4 binary64) (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)))))
(log.f64 (tanh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))))
(tanh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64))))
(log.f64 (tanh.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) f) (PI.f64))))
(*.f64 (PI.f64) f)
#s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/128 binary64) (*.f64 (PI.f64) (PI.f64))) (PI.f64) (fma.f64 #s(literal -1/768 binary64) (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64)) (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 #s(literal -1/32 binary64) (*.f64 (PI.f64) (PI.f64))) (PI.f64))))) f #s(literal 0 binary64)) f (*.f64 (PI.f64) #s(literal 1/4 binary64))) f))
(*.f64 (*.f64 #s(literal -1/32 binary64) (*.f64 (PI.f64) (PI.f64))) (PI.f64))
(*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64))
Outputs
(*.f64 (/.f64 (*.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 f #s(literal 1/4 binary64)) (PI.f64)))) #s(literal 4 binary64)) (pow.f64 (PI.f64) #s(literal 2/3 binary64))) (/.f64 #s(literal 1 binary64) (cbrt.f64 (PI.f64))))
(*.f64 (/.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 f #s(literal 1/4 binary64)) (PI.f64)))) (PI.f64)) #s(literal 4 binary64))
(*.f64 (*.f64 #s(literal -4 binary64) (/.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 f #s(literal 1/4 binary64)) (PI.f64)))) (sqrt.f64 (PI.f64)))) (/.f64 #s(literal -1 binary64) (sqrt.f64 (PI.f64))))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64))) (*.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 f #s(literal 1/4 binary64)) (PI.f64)))) #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64))))
(*.f64 (*.f64 (*.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 f #s(literal 1/4 binary64)) (PI.f64)))) (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64)))) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (sqrt.f64 (PI.f64))))
(*.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) (*.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 f #s(literal 1/4 binary64)) (PI.f64)))) #s(literal 4 binary64)))
(*.f64 (neg.f64 (*.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 f #s(literal 1/4 binary64)) (PI.f64)))) #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (PI.f64))))
(*.f64 (neg.f64 (*.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 f #s(literal 1/4 binary64)) (PI.f64)))) #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)))))
(*.f64 (neg.f64 (*.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 f #s(literal 1/4 binary64)) (PI.f64)))) (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64))))) (/.f64 #s(literal -1 binary64) (sqrt.f64 (PI.f64))))
(*.f64 (*.f64 (*.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 f #s(literal 1/4 binary64)) (PI.f64)))) #s(literal 4 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (PI.f64)) (neg.f64 (sqrt.f64 (PI.f64))))))
(*.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (pow.f64 (/.f64 #s(literal 1 binary64) (log.f64 (tanh.f64 (*.f64 (*.f64 f #s(literal 1/4 binary64)) (PI.f64))))) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (log.f64 (tanh.f64 (*.f64 (*.f64 f #s(literal 1/4 binary64)) (PI.f64)))))
(*.f64 (*.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 f #s(literal 1/4 binary64)) (PI.f64)))) #s(literal 4 binary64)) (/.f64 #s(literal 1 binary64) (PI.f64)))
(*.f64 (/.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 f #s(literal 1/4 binary64)) (PI.f64)))) (sqrt.f64 (PI.f64))) (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64))))
(*.f64 (neg.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 f #s(literal 1/4 binary64)) (PI.f64))))) (/.f64 #s(literal -1 binary64) (*.f64 #s(literal 1/4 binary64) (PI.f64))))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (log.f64 (tanh.f64 (*.f64 (*.f64 f #s(literal 1/4 binary64)) (PI.f64))))))))
(*.f64 #s(literal -1 binary64) (/.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 f #s(literal 1/4 binary64)) (PI.f64)))) (*.f64 #s(literal -1/4 binary64) (PI.f64))))
(*.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 f #s(literal 1/4 binary64)) (PI.f64)))) (/.f64 #s(literal 4 binary64) (PI.f64)))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64))) (*.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 f #s(literal 1/4 binary64)) (PI.f64)))) (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64)))))
(*.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (log.f64 (tanh.f64 (*.f64 (*.f64 f #s(literal 1/4 binary64)) (PI.f64))))))
(*.f64 (*.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 f #s(literal 1/4 binary64)) (PI.f64)))) (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64))))
(*.f64 (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64))) (pow.f64 (/.f64 (sqrt.f64 (PI.f64)) (log.f64 (tanh.f64 (*.f64 (*.f64 f #s(literal 1/4 binary64)) (PI.f64))))) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64))) (/.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 f #s(literal 1/4 binary64)) (PI.f64)))) (sqrt.f64 (PI.f64))))
(*.f64 #s(literal 4 binary64) (pow.f64 (/.f64 (PI.f64) (log.f64 (tanh.f64 (*.f64 (*.f64 f #s(literal 1/4 binary64)) (PI.f64))))) #s(literal -1 binary64)))
(*.f64 #s(literal 4 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64))) (/.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 f #s(literal 1/4 binary64)) (PI.f64)))) (sqrt.f64 (PI.f64)))))
(pow.f64 (/.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (log.f64 (tanh.f64 (*.f64 (*.f64 f #s(literal 1/4 binary64)) (PI.f64))))) #s(literal -1 binary64))
(/.f64 (neg.f64 (/.f64 (*.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 f #s(literal 1/4 binary64)) (PI.f64)))) #s(literal 4 binary64)) (pow.f64 (PI.f64) #s(literal 2/3 binary64)))) (neg.f64 (cbrt.f64 (PI.f64))))
(/.f64 (neg.f64 (/.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 f #s(literal 1/4 binary64)) (PI.f64)))) (PI.f64))) #s(literal -1/4 binary64))
(/.f64 (neg.f64 (*.f64 #s(literal -4 binary64) (/.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 f #s(literal 1/4 binary64)) (PI.f64)))) (sqrt.f64 (PI.f64))))) (sqrt.f64 (PI.f64)))
(/.f64 (neg.f64 (/.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 f #s(literal 1/4 binary64)) (PI.f64)))) (sqrt.f64 (PI.f64)))) (neg.f64 (*.f64 #s(literal 1/4 binary64) (sqrt.f64 (PI.f64)))))
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(+.f64 (log1p.f64 (neg.f64 (exp.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 f (PI.f64)))))) (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 f (PI.f64)))) #s(literal 1 binary64)))))
(+.f64 (log.f64 (expm1.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 f (PI.f64))))) (neg.f64 (log1p.f64 (exp.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 f (PI.f64)))))))
(+.f64 (log.f64 (expm1.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 f (PI.f64))))) (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 f (PI.f64)))) #s(literal 1 binary64)))))
(+.f64 (log.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 (*.f64 f #s(literal 1/4 binary64)) (PI.f64))))) (neg.f64 (log.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 (*.f64 f #s(literal 1/4 binary64)) (PI.f64)))))))
(+.f64 (log.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 (*.f64 f #s(literal 1/4 binary64)) (PI.f64))))) (log.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 (*.f64 f #s(literal 1/4 binary64)) (PI.f64)))))))
(log.f64 (tanh.f64 (*.f64 (*.f64 f #s(literal 1/4 binary64)) (PI.f64))))
(*.f64 (*.f64 f (pow.f64 (PI.f64) #s(literal 2/3 binary64))) (cbrt.f64 (PI.f64)))
(*.f64 (*.f64 f (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)))
(*.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (*.f64 (cbrt.f64 (PI.f64)) f))
(*.f64 #s(literal 1 binary64) (*.f64 f (PI.f64)))
(*.f64 f (PI.f64))
(*.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) f))
(*.f64 (PI.f64) f)
(/.f64 (*.f64 f (sqrt.f64 (PI.f64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64))))
#s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (fma.f64 (*.f64 f f) (fma.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64)) #s(literal -7/768 binary64) (*.f64 #s(literal 1/256 binary64) (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64)))) (*.f64 #s(literal 1/4 binary64) (PI.f64))) f))
(*.f64 (*.f64 (*.f64 #s(literal -1/32 binary64) (*.f64 (PI.f64) (PI.f64))) (pow.f64 (PI.f64) #s(literal 2/3 binary64))) (cbrt.f64 (PI.f64)))
(*.f64 (*.f64 (*.f64 #s(literal -1/32 binary64) (*.f64 (PI.f64) (PI.f64))) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)))
(*.f64 (*.f64 #s(literal -1/32 binary64) (PI.f64)) (*.f64 (PI.f64) (PI.f64)))
(*.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (*.f64 (cbrt.f64 (PI.f64)) (*.f64 #s(literal -1/32 binary64) (*.f64 (PI.f64) (PI.f64)))))
(*.f64 (*.f64 #s(literal -1/32 binary64) (*.f64 (PI.f64) (PI.f64))) (PI.f64))
(*.f64 #s(literal -1/32 binary64) (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64)))
(*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64)) #s(literal -1/32 binary64))
(*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 #s(literal -1/32 binary64) (PI.f64)))
(*.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal -1/32 binary64) (*.f64 (PI.f64) (PI.f64))) (PI.f64)))
(*.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) (*.f64 #s(literal -1/32 binary64) (*.f64 (PI.f64) (PI.f64)))))
(*.f64 (PI.f64) (*.f64 #s(literal -1/32 binary64) (*.f64 (PI.f64) (PI.f64))))
(/.f64 (*.f64 (*.f64 #s(literal -1/32 binary64) (*.f64 (PI.f64) (PI.f64))) (sqrt.f64 (PI.f64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64))))
(*.f64 (pow.f64 (*.f64 (PI.f64) (pow.f64 (PI.f64) #s(literal 2/3 binary64))) #s(literal 3/2 binary64)) (sqrt.f64 (PI.f64)))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (PI.f64)))) #s(literal 3/2 binary64)) (pow.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) #s(literal 3/2 binary64)))
(*.f64 (pow.f64 (*.f64 (sqrt.f64 (PI.f64)) (PI.f64)) #s(literal 3/2 binary64)) (pow.f64 (sqrt.f64 (PI.f64)) #s(literal 3/2 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (PI.f64))) #s(literal 6 binary64)) (pow.f64 (sqrt.f64 (sqrt.f64 (PI.f64))) #s(literal 6 binary64)))
(*.f64 (pow.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) #s(literal 3/2 binary64)) (pow.f64 (pow.f64 (PI.f64) #s(literal 4/3 binary64)) #s(literal 3/2 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (PI.f64)) #s(literal 3/2 binary64)) (pow.f64 (*.f64 (sqrt.f64 (PI.f64)) (PI.f64)) #s(literal 3/2 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 3/2 binary64)) (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64)))
(*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)))
(*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (pow.f64 (PI.f64) #s(literal 2/3 binary64))) (cbrt.f64 (PI.f64)))
(*.f64 (*.f64 (sqrt.f64 (PI.f64)) (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) (PI.f64)))
(*.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (pow.f64 (PI.f64) #s(literal 7/3 binary64)))
(*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64)) #s(literal 1 binary64))
(*.f64 (*.f64 (PI.f64) (PI.f64)) (pow.f64 (pow.f64 (PI.f64) #s(literal 1/6 binary64)) #s(literal 6 binary64)))
(*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64))
(*.f64 #s(literal 1 binary64) (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64)))
(*.f64 (sqrt.f64 (PI.f64)) (*.f64 (*.f64 (PI.f64) (PI.f64)) (sqrt.f64 (PI.f64))))
(*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))
(pow.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (PI.f64))) #s(literal 3/4 binary64))
(pow.f64 (*.f64 (sqrt.f64 (PI.f64)) (PI.f64)) #s(literal 2 binary64))
(pow.f64 (cbrt.f64 (PI.f64)) #s(literal 9 binary64))
(pow.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64)) #s(literal 1 binary64))
(pow.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 3/2 binary64))
(pow.f64 (sqrt.f64 (PI.f64)) #s(literal 6 binary64))
(pow.f64 (PI.f64) #s(literal 3 binary64))
(/.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (sqrt.f64 (PI.f64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64))))
(cbrt.f64 (*.f64 (*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64)) (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64))) (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64))))
(sqrt.f64 (*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (PI.f64))) (*.f64 (PI.f64) (PI.f64))))
(sqrt.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (PI.f64)))))
(exp.f64 (+.f64 (log.f64 (*.f64 (PI.f64) (PI.f64))) (log.f64 (PI.f64))))
(exp.f64 (fma.f64 (log.f64 (PI.f64)) #s(literal 2 binary64) (log.f64 (PI.f64))))
(exp.f64 (+.f64 (log.f64 (PI.f64)) (log.f64 (*.f64 (PI.f64) (PI.f64)))))
(exp.f64 (+.f64 (log.f64 (PI.f64)) (*.f64 (log.f64 (PI.f64)) #s(literal 2 binary64))))
(exp.f64 (*.f64 (*.f64 (log.f64 (PI.f64)) #s(literal 2 binary64)) #s(literal 3/2 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 (sqrt.f64 (PI.f64)) (PI.f64))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 (PI.f64) (PI.f64))) #s(literal 3/2 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 (PI.f64)) #s(literal 1/2 binary64)) #s(literal 6 binary64)))
(exp.f64 (*.f64 (log.f64 (PI.f64)) #s(literal 3 binary64)))

eval234.0ms (1.5%)

Memory
13.4MiB live, 328.1MiB allocated
Compiler

Compiled 44 055 to 4 525 computations (89.7% saved)

prune166.0ms (1.1%)

Memory
-5.6MiB live, 313.9MiB allocated
Pruning

23 alts after pruning (20 fresh and 3 done)

PrunedKeptTotal
New1 375121 387
Fresh6814
Picked325
Done011
Total1 384231 407
Accuracy
99.9%
Counts
1 407 → 23
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶96.0%
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (*.f64 #s(literal -1/4 binary64) (PI.f64))) (*.f64 (*.f64 #s(literal -1/4 binary64) (PI.f64)) (log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (*.f64 f #s(literal 1/4 binary64)) (PI.f64)))))) (*.f64 (*.f64 #s(literal -1/4 binary64) (PI.f64)) (*.f64 #s(literal -1/4 binary64) (PI.f64))))
9.1%
(/.f64 (-.f64 (log1p.f64 (neg.f64 (exp.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 1/4 binary64) (PI.f64)))
9.1%
(/.f64 (-.f64 (log1p.f64 (neg.f64 (exp.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 f (PI.f64)))))) (log1p.f64 (exp.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 f (PI.f64)))))) (*.f64 #s(literal 1/4 binary64) (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)))))
▶98.3%
(/.f64 (*.f64 (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64))) (log.f64 (tanh.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) f) (PI.f64))))) (sqrt.f64 (PI.f64)))
95.9%
(/.f64 (*.f64 (log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (*.f64 f #s(literal 1/4 binary64)) (PI.f64)))) (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (PI.f64)))
96.9%
(/.f64 (log.f64 (/.f64 (expm1.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/2 binary64))) (+.f64 (exp.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/2 binary64))) #s(literal 1 binary64)))) (*.f64 #s(literal 1/4 binary64) (PI.f64)))
98.0%
(/.f64 (log.f64 (tanh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64))))) (*.f64 #s(literal 1/4 binary64) (*.f64 (sqrt.f64 (*.f64 (sqrt.f64 (PI.f64)) (PI.f64))) (sqrt.f64 (sqrt.f64 (PI.f64))))))
✓97.4%
(/.f64 (log.f64 (tanh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64))))) (*.f64 #s(literal 1/4 binary64) (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)))))
✓98.5%
(/.f64 (log.f64 (tanh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64))))) (*.f64 #s(literal 1/4 binary64) (PI.f64)))
96.7%
(/.f64 (log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (fma.f64 #s(approx (+ (* (+ (* (* -1/128 (* (PI) (PI))) (PI)) (+ (* -1/768 (* (* (PI) (PI)) (PI))) (* -1/8 (* (* -1/32 (* (PI) (PI))) (PI))))) f) 0) (*.f64 (*.f64 #s(literal -1/192 binary64) (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64))) f)) f (*.f64 (PI.f64) #s(literal 1/4 binary64))) f))) (*.f64 #s(literal 1/4 binary64) (PI.f64)))
▶95.0%
(/.f64 (log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64)))) (*.f64 #s(literal 1/4 binary64) (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)))))
✓96.1%
(/.f64 (log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64)))) (*.f64 #s(literal 1/4 binary64) (PI.f64)))
96.0%
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (*.f64 f #s(literal 1/4 binary64)) (PI.f64))))))
96.0%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/4 binary64) (/.f64 (log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (*.f64 f #s(literal 1/4 binary64)) (PI.f64)))) (PI.f64))))
95.9%
(*.f64 (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64))) (/.f64 (log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (*.f64 f #s(literal 1/4 binary64)) (PI.f64)))) (sqrt.f64 (PI.f64))))
▶96.0%
(*.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (*.f64 f #s(literal 1/4 binary64)) (PI.f64)))))
96.0%
(*.f64 (*.f64 (log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (*.f64 f #s(literal 1/4 binary64)) (PI.f64)))) (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64))))
95.9%
(neg.f64 (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64))) (/.f64 (neg.f64 (sqrt.f64 (PI.f64))) (*.f64 (log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (*.f64 f #s(literal 1/4 binary64)) (PI.f64)))) #s(literal 4 binary64)))))
96.4%
(neg.f64 (/.f64 (*.f64 (neg.f64 (log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (fma.f64 (*.f64 f f) (fma.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 #s(literal -1/32 binary64) (*.f64 (PI.f64) (PI.f64))) (PI.f64)) (*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64)) #s(literal -7/768 binary64))) (*.f64 (PI.f64) #s(literal 1/4 binary64))) f)))) (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (PI.f64))))
▶96.7%
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -2 binary64) (*.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) #s(literal 2 binary64)) #s(literal 1/192 binary64)) (*.f64 (+.f64 (PI.f64) (PI.f64)) #s(literal 1/16 binary64))) f) f (/.f64 #s(literal 4 binary64) (PI.f64))) f)))))
96.7%
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 #s(approx (* (/ (* (cosh (* f (* 1/4 (PI)))) 2) (- (exp (* (* f (PI)) 3/4)) (exp (neg (* (* f (PI)) 3/4))))) (+ (- (exp (neg (* (* f (PI)) 1/2))) -1) (exp (* (* f (PI)) 1/2)))) (/.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 2 binary64) f) (fma.f64 #s(literal -3 binary64) (*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64)) (/.f64 #s(literal 9/64 binary64) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 9/4 binary64)))) (*.f64 #s(literal 11/32 binary64) (*.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 #s(literal 3/2 binary64) (PI.f64)))))) #s(literal 0 binary64)) f (/.f64 #s(literal 6 binary64) (*.f64 #s(literal 3/2 binary64) (PI.f64)))) f)))))
96.0%
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 #s(approx (* (/ (* (cosh (* f (* 1/4 (PI)))) 2) (- (exp (* (* f (PI)) 3/4)) (exp (neg (* (* f (PI)) 3/4))))) (+ (- (exp (neg (* (* f (PI)) 1/2))) -1) (exp (* (* f (PI)) 1/2)))) (/.f64 #s(literal 6 binary64) (*.f64 (*.f64 #s(literal 3/2 binary64) (PI.f64)) f))))))
95.5%
(neg.f64 (*.f64 (*.f64 (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64)))) (log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) f))))))
Compiler

Compiled 912 to 613 computations (32.8% saved)

simplify141.0ms (0.9%)

Memory
-0.8MiB live, 113.6MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff192
(*.f64 (+.f64 (PI.f64) (PI.f64)) #s(literal 2 binary64))
cost-diff320
(*.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) #s(literal 2 binary64)) #s(literal 1/192 binary64))
cost-diff704
(fma.f64 #s(literal -2 binary64) (*.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) #s(literal 2 binary64)) #s(literal 1/192 binary64)) (*.f64 (+.f64 (PI.f64) (PI.f64)) #s(literal 1/16 binary64)))
cost-diff704
(/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64)))
cost-diff192
(-.f64 (*.f64 #s(literal 0 binary64) (*.f64 #s(literal -1/4 binary64) (PI.f64))) (*.f64 (*.f64 #s(literal -1/4 binary64) (PI.f64)) (log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (*.f64 f #s(literal 1/4 binary64)) (PI.f64))))))
cost-diff320
(*.f64 (*.f64 #s(literal -1/4 binary64) (PI.f64)) (*.f64 #s(literal -1/4 binary64) (PI.f64)))
cost-diff640
(*.f64 #s(literal 0 binary64) (*.f64 #s(literal -1/4 binary64) (PI.f64)))
cost-diff960
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (*.f64 #s(literal -1/4 binary64) (PI.f64))) (*.f64 (*.f64 #s(literal -1/4 binary64) (PI.f64)) (log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (*.f64 f #s(literal 1/4 binary64)) (PI.f64)))))) (*.f64 (*.f64 #s(literal -1/4 binary64) (PI.f64)) (*.f64 #s(literal -1/4 binary64) (PI.f64))))
cost-diff0
#s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64)))
cost-diff0
(log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64))))
cost-diff0
(/.f64 (log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64)))) (*.f64 #s(literal 1/4 binary64) (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)))))
cost-diff1600
(*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)))
cost-diff0
(log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (*.f64 f #s(literal 1/4 binary64)) (PI.f64))))
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 #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (*.f64 f #s(literal 1/4 binary64)) (PI.f64)))))
cost-diff0
(sqrt.f64 (PI.f64))
cost-diff0
(/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64)))
cost-diff0
(*.f64 (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64))) (log.f64 (tanh.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) f) (PI.f64)))))
cost-diff1984
(/.f64 (*.f64 (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64))) (log.f64 (tanh.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) f) (PI.f64))))) (sqrt.f64 (PI.f64)))
Rules
4 792×lower-*.f32
4 758×lower-*.f64
3 898×lower-fma.f32
3 894×lower-fma.f64
2 028×lower-/.f32
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
064651
0106595
1243548
2612514
32704498
46226498
08151498
Stop Event
1×iter limit
1×node limit
1×iter limit
Calls
Call 1
Inputs
(/.f64 (*.f64 (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64))) (log.f64 (tanh.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) f) (PI.f64))))) (sqrt.f64 (PI.f64)))
(*.f64 (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64))) (log.f64 (tanh.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) f) (PI.f64)))))
(/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64)))
#s(literal 4 binary64)
(sqrt.f64 (PI.f64))
(PI.f64)
(log.f64 (tanh.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) f) (PI.f64))))
(tanh.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) f) (PI.f64)))
(*.f64 (*.f64 #s(literal 1/4 binary64) f) (PI.f64))
(*.f64 #s(literal 1/4 binary64) f)
#s(literal 1/4 binary64)
f
(*.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (*.f64 f #s(literal 1/4 binary64)) (PI.f64)))))
(/.f64 #s(literal 4 binary64) (PI.f64))
#s(literal 4 binary64)
(PI.f64)
(log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (*.f64 f #s(literal 1/4 binary64)) (PI.f64))))
#s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (*.f64 f #s(literal 1/4 binary64)) (PI.f64)))
(*.f64 (*.f64 f #s(literal 1/4 binary64)) (PI.f64))
(*.f64 f #s(literal 1/4 binary64))
f
#s(literal 1/4 binary64)
(/.f64 (log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64)))) (*.f64 #s(literal 1/4 binary64) (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)))))
(log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64))))
#s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64)))
(*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64))
(*.f64 (PI.f64) f)
(PI.f64)
f
#s(literal 1/4 binary64)
(*.f64 #s(literal 1/4 binary64) (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))))
(*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)))
(sqrt.f64 (PI.f64))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (*.f64 #s(literal -1/4 binary64) (PI.f64))) (*.f64 (*.f64 #s(literal -1/4 binary64) (PI.f64)) (log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (*.f64 f #s(literal 1/4 binary64)) (PI.f64)))))) (*.f64 (*.f64 #s(literal -1/4 binary64) (PI.f64)) (*.f64 #s(literal -1/4 binary64) (PI.f64))))
(-.f64 (*.f64 #s(literal 0 binary64) (*.f64 #s(literal -1/4 binary64) (PI.f64))) (*.f64 (*.f64 #s(literal -1/4 binary64) (PI.f64)) (log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (*.f64 f #s(literal 1/4 binary64)) (PI.f64))))))
(*.f64 #s(literal 0 binary64) (*.f64 #s(literal -1/4 binary64) (PI.f64)))
#s(literal 0 binary64)
(*.f64 #s(literal -1/4 binary64) (PI.f64))
#s(literal -1/4 binary64)
(PI.f64)
(*.f64 (*.f64 #s(literal -1/4 binary64) (PI.f64)) (log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (*.f64 f #s(literal 1/4 binary64)) (PI.f64)))))
(log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (*.f64 f #s(literal 1/4 binary64)) (PI.f64))))
#s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (*.f64 f #s(literal 1/4 binary64)) (PI.f64)))
(*.f64 (*.f64 f #s(literal 1/4 binary64)) (PI.f64))
(*.f64 f #s(literal 1/4 binary64))
f
#s(literal 1/4 binary64)
(*.f64 (*.f64 #s(literal -1/4 binary64) (PI.f64)) (*.f64 #s(literal -1/4 binary64) (PI.f64)))
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -2 binary64) (*.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) #s(literal 2 binary64)) #s(literal 1/192 binary64)) (*.f64 (+.f64 (PI.f64) (PI.f64)) #s(literal 1/16 binary64))) f) f (/.f64 #s(literal 4 binary64) (PI.f64))) f)))))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -2 binary64) (*.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) #s(literal 2 binary64)) #s(literal 1/192 binary64)) (*.f64 (+.f64 (PI.f64) (PI.f64)) #s(literal 1/16 binary64))) f) f (/.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 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -2 binary64) (*.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) #s(literal 2 binary64)) #s(literal 1/192 binary64)) (*.f64 (+.f64 (PI.f64) (PI.f64)) #s(literal 1/16 binary64))) f) f (/.f64 #s(literal 4 binary64) (PI.f64))) f)))
#s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -2 binary64) (*.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) #s(literal 2 binary64)) #s(literal 1/192 binary64)) (*.f64 (+.f64 (PI.f64) (PI.f64)) #s(literal 1/16 binary64))) f) f (/.f64 #s(literal 4 binary64) (PI.f64))) f))
(/.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -2 binary64) (*.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) #s(literal 2 binary64)) #s(literal 1/192 binary64)) (*.f64 (+.f64 (PI.f64) (PI.f64)) #s(literal 1/16 binary64))) f) f (/.f64 #s(literal 4 binary64) (PI.f64))) f)
(fma.f64 (*.f64 (fma.f64 #s(literal -2 binary64) (*.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) #s(literal 2 binary64)) #s(literal 1/192 binary64)) (*.f64 (+.f64 (PI.f64) (PI.f64)) #s(literal 1/16 binary64))) f) f (/.f64 #s(literal 4 binary64) (PI.f64)))
(*.f64 (fma.f64 #s(literal -2 binary64) (*.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) #s(literal 2 binary64)) #s(literal 1/192 binary64)) (*.f64 (+.f64 (PI.f64) (PI.f64)) #s(literal 1/16 binary64))) f)
(fma.f64 #s(literal -2 binary64) (*.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) #s(literal 2 binary64)) #s(literal 1/192 binary64)) (*.f64 (+.f64 (PI.f64) (PI.f64)) #s(literal 1/16 binary64)))
#s(literal -2 binary64)
(*.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) #s(literal 2 binary64)) #s(literal 1/192 binary64))
(*.f64 (+.f64 (PI.f64) (PI.f64)) #s(literal 2 binary64))
(+.f64 (PI.f64) (PI.f64))
#s(literal 2 binary64)
#s(literal 1/192 binary64)
(*.f64 (+.f64 (PI.f64) (PI.f64)) #s(literal 1/16 binary64))
#s(literal 1/16 binary64)
f
(/.f64 #s(literal 4 binary64) (PI.f64))
Outputs
(/.f64 (*.f64 (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64))) (log.f64 (tanh.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) f) (PI.f64))))) (sqrt.f64 (PI.f64)))
(*.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (log.f64 (tanh.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) f))))
(*.f64 (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64))) (log.f64 (tanh.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) f) (PI.f64)))))
(*.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) f))) (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64))))
(/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64)))
#s(literal 4 binary64)
(sqrt.f64 (PI.f64))
(PI.f64)
(log.f64 (tanh.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) f) (PI.f64))))
(log.f64 (tanh.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) f)))
(tanh.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) f) (PI.f64)))
(tanh.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) f))
(*.f64 (*.f64 #s(literal 1/4 binary64) f) (PI.f64))
(*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) f)
(*.f64 #s(literal 1/4 binary64) f)
(*.f64 f #s(literal 1/4 binary64))
#s(literal 1/4 binary64)
f
(*.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (*.f64 f #s(literal 1/4 binary64)) (PI.f64)))))
(*.f64 (/.f64 (log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) f))) (PI.f64)) #s(literal 4 binary64))
(/.f64 #s(literal 4 binary64) (PI.f64))
#s(literal 4 binary64)
(PI.f64)
(log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (*.f64 f #s(literal 1/4 binary64)) (PI.f64))))
(log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) f)))
#s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (*.f64 f #s(literal 1/4 binary64)) (PI.f64)))
#s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) f))
(*.f64 (*.f64 f #s(literal 1/4 binary64)) (PI.f64))
(*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) f)
(*.f64 f #s(literal 1/4 binary64))
f
#s(literal 1/4 binary64)
(/.f64 (log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64)))) (*.f64 #s(literal 1/4 binary64) (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)))))
(*.f64 (/.f64 (log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) f))) (PI.f64)) #s(literal 4 binary64))
(log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64))))
(log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) f)))
#s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64)))
#s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) f))
(*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64))
(*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) f)
(*.f64 (PI.f64) f)
(*.f64 f (PI.f64))
(PI.f64)
f
#s(literal 1/4 binary64)
(*.f64 #s(literal 1/4 binary64) (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))))
(*.f64 #s(literal 1/4 binary64) (PI.f64))
(*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)))
(PI.f64)
(sqrt.f64 (PI.f64))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (*.f64 #s(literal -1/4 binary64) (PI.f64))) (*.f64 (*.f64 #s(literal -1/4 binary64) (PI.f64)) (log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (*.f64 f #s(literal 1/4 binary64)) (PI.f64)))))) (*.f64 (*.f64 #s(literal -1/4 binary64) (PI.f64)) (*.f64 #s(literal -1/4 binary64) (PI.f64))))
(*.f64 (/.f64 (log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) f))) (PI.f64)) #s(literal 4 binary64))
(-.f64 (*.f64 #s(literal 0 binary64) (*.f64 #s(literal -1/4 binary64) (PI.f64))) (*.f64 (*.f64 #s(literal -1/4 binary64) (PI.f64)) (log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (*.f64 f #s(literal 1/4 binary64)) (PI.f64))))))
(*.f64 (log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) f))) (*.f64 #s(literal 1/4 binary64) (PI.f64)))
(*.f64 #s(literal 0 binary64) (*.f64 #s(literal -1/4 binary64) (PI.f64)))
#s(literal 0 binary64)
#s(literal 0 binary64)
(*.f64 #s(literal -1/4 binary64) (PI.f64))
#s(literal -1/4 binary64)
(PI.f64)
(*.f64 (*.f64 #s(literal -1/4 binary64) (PI.f64)) (log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (*.f64 f #s(literal 1/4 binary64)) (PI.f64)))))
(*.f64 (*.f64 #s(literal -1/4 binary64) (PI.f64)) (log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) f))))
(log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (*.f64 f #s(literal 1/4 binary64)) (PI.f64))))
(log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) f)))
#s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (*.f64 f #s(literal 1/4 binary64)) (PI.f64)))
#s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) f))
(*.f64 (*.f64 f #s(literal 1/4 binary64)) (PI.f64))
(*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) f)
(*.f64 f #s(literal 1/4 binary64))
f
#s(literal 1/4 binary64)
(*.f64 (*.f64 #s(literal -1/4 binary64) (PI.f64)) (*.f64 #s(literal -1/4 binary64) (PI.f64)))
(*.f64 (*.f64 #s(literal 1/16 binary64) (PI.f64)) (PI.f64))
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -2 binary64) (*.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) #s(literal 2 binary64)) #s(literal 1/192 binary64)) (*.f64 (+.f64 (PI.f64) (PI.f64)) #s(literal 1/16 binary64))) f) f (/.f64 #s(literal 4 binary64) (PI.f64))) f)))))
(*.f64 (/.f64 #s(literal -4 binary64) (PI.f64)) (log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (fma.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/12 binary64)) f) f (/.f64 #s(literal 4 binary64) (PI.f64))) f))))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -2 binary64) (*.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) #s(literal 2 binary64)) #s(literal 1/192 binary64)) (*.f64 (+.f64 (PI.f64) (PI.f64)) #s(literal 1/16 binary64))) f) f (/.f64 #s(literal 4 binary64) (PI.f64))) f))))
(*.f64 (log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (fma.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/12 binary64)) f) f (/.f64 #s(literal 4 binary64) (PI.f64))) f))) (/.f64 #s(literal 4 binary64) (PI.f64)))
(/.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 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -2 binary64) (*.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) #s(literal 2 binary64)) #s(literal 1/192 binary64)) (*.f64 (+.f64 (PI.f64) (PI.f64)) #s(literal 1/16 binary64))) f) f (/.f64 #s(literal 4 binary64) (PI.f64))) f)))
(log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (fma.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/12 binary64)) f) f (/.f64 #s(literal 4 binary64) (PI.f64))) f)))
#s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -2 binary64) (*.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) #s(literal 2 binary64)) #s(literal 1/192 binary64)) (*.f64 (+.f64 (PI.f64) (PI.f64)) #s(literal 1/16 binary64))) f) f (/.f64 #s(literal 4 binary64) (PI.f64))) f))
#s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (fma.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/12 binary64)) f) f (/.f64 #s(literal 4 binary64) (PI.f64))) f))
(/.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -2 binary64) (*.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) #s(literal 2 binary64)) #s(literal 1/192 binary64)) (*.f64 (+.f64 (PI.f64) (PI.f64)) #s(literal 1/16 binary64))) f) f (/.f64 #s(literal 4 binary64) (PI.f64))) f)
(/.f64 (fma.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/12 binary64)) f) f (/.f64 #s(literal 4 binary64) (PI.f64))) f)
(fma.f64 (*.f64 (fma.f64 #s(literal -2 binary64) (*.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) #s(literal 2 binary64)) #s(literal 1/192 binary64)) (*.f64 (+.f64 (PI.f64) (PI.f64)) #s(literal 1/16 binary64))) f) f (/.f64 #s(literal 4 binary64) (PI.f64)))
(fma.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/12 binary64)) f) f (/.f64 #s(literal 4 binary64) (PI.f64)))
(*.f64 (fma.f64 #s(literal -2 binary64) (*.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) #s(literal 2 binary64)) #s(literal 1/192 binary64)) (*.f64 (+.f64 (PI.f64) (PI.f64)) #s(literal 1/16 binary64))) f)
(*.f64 (*.f64 (PI.f64) #s(literal 1/12 binary64)) f)
(fma.f64 #s(literal -2 binary64) (*.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) #s(literal 2 binary64)) #s(literal 1/192 binary64)) (*.f64 (+.f64 (PI.f64) (PI.f64)) #s(literal 1/16 binary64)))
(*.f64 (PI.f64) #s(literal 1/12 binary64))
#s(literal -2 binary64)
(*.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) #s(literal 2 binary64)) #s(literal 1/192 binary64))
(*.f64 #s(literal 1/48 binary64) (PI.f64))
(*.f64 (+.f64 (PI.f64) (PI.f64)) #s(literal 2 binary64))
(*.f64 (PI.f64) #s(literal 4 binary64))
(+.f64 (PI.f64) (PI.f64))
#s(literal 2 binary64)
#s(literal 1/192 binary64)
(*.f64 (+.f64 (PI.f64) (PI.f64)) #s(literal 1/16 binary64))
(*.f64 #s(literal 1/8 binary64) (PI.f64))
#s(literal 1/16 binary64)
f
(/.f64 #s(literal 4 binary64) (PI.f64))

localize657.0ms (4.3%)

Memory
-71.6MiB live, 454.1MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0.7109375
(*.f64 (fma.f64 #s(literal -2 binary64) (*.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) #s(literal 2 binary64)) #s(literal 1/192 binary64)) (*.f64 (+.f64 (PI.f64) (PI.f64)) #s(literal 1/16 binary64))) f)
accuracy1.0
(fma.f64 #s(literal -2 binary64) (*.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) #s(literal 2 binary64)) #s(literal 1/192 binary64)) (*.f64 (+.f64 (PI.f64) (PI.f64)) #s(literal 1/16 binary64)))
accuracy1.0
(*.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) #s(literal 2 binary64)) #s(literal 1/192 binary64))
accuracy1.56740866082132
#s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -2 binary64) (*.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) #s(literal 2 binary64)) #s(literal 1/192 binary64)) (*.f64 (+.f64 (PI.f64) (PI.f64)) #s(literal 1/16 binary64))) f) f (/.f64 #s(literal 4 binary64) (PI.f64))) f))
accuracy0.34765625
(*.f64 (*.f64 #s(literal -1/4 binary64) (PI.f64)) (log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (*.f64 f #s(literal 1/4 binary64)) (PI.f64)))))
accuracy0.4411125488422101
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (*.f64 #s(literal -1/4 binary64) (PI.f64))) (*.f64 (*.f64 #s(literal -1/4 binary64) (PI.f64)) (log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (*.f64 f #s(literal 1/4 binary64)) (PI.f64)))))) (*.f64 (*.f64 #s(literal -1/4 binary64) (PI.f64)) (*.f64 #s(literal -1/4 binary64) (PI.f64))))
accuracy0.6329505236440574
(log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (*.f64 f #s(literal 1/4 binary64)) (PI.f64))))
accuracy2.0858232319859606
#s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (*.f64 f #s(literal 1/4 binary64)) (PI.f64)))
accuracy0.6329505236440574
(log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64))))
accuracy1.0
(*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)))
accuracy1.0
(sqrt.f64 (PI.f64))
accuracy2.0858232319859606
#s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64)))
accuracy0.25
(*.f64 (*.f64 f #s(literal 1/4 binary64)) (PI.f64))
accuracy0.42025375976844204
(*.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (*.f64 f #s(literal 1/4 binary64)) (PI.f64)))))
accuracy0.6329505236440574
(log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (*.f64 f #s(literal 1/4 binary64)) (PI.f64))))
accuracy2.0858232319859606
#s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (*.f64 f #s(literal 1/4 binary64)) (PI.f64)))
accuracy0.26171875
(*.f64 (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64))) (log.f64 (tanh.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) f) (PI.f64)))))
accuracy0.29296875
(/.f64 (*.f64 (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64))) (log.f64 (tanh.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) f) (PI.f64))))) (sqrt.f64 (PI.f64)))
accuracy0.6329505236440574
(log.f64 (tanh.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) f) (PI.f64))))
accuracy1.0
(sqrt.f64 (PI.f64))
Samples
530.0ms237×1valid
13.0ms4×2valid
9.0ms15×0valid
Compiler

Compiled 497 to 62 computations (87.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 507.0ms
ival-mult: 364.0ms (71.8% of total)
ival-log: 33.0ms (6.5% of total)
ival-div: 25.0ms (4.9% of total)
ival-exp: 20.0ms (3.9% of total)
ival-add: 16.0ms (3.2% of total)
adjust: 15.0ms (3% of total)
const: 12.0ms (2.4% of total)
ival-neg: 6.0ms (1.2% of total)
ival-tanh: 5.0ms (1% of total)
ival-sub: 4.0ms (0.8% of total)
ival-sqrt: 4.0ms (0.8% of total)
ival-pi: 2.0ms (0.4% of total)
exact: 1.0ms (0.2% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series47.0ms (0.3%)

Memory
3.5MiB live, 77.3MiB allocated
Counts
26 → 180
Calls
Call 1
Inputs
#s(alt (/.f64 (*.f64 (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64))) (log.f64 (tanh.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) f) (PI.f64))))) (sqrt.f64 (PI.f64))) (patch (/.f64 (*.f64 (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64))) (log.f64 (tanh.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) f) (PI.f64))))) (sqrt.f64 (PI.f64))) #<representation binary64>) () ())
#s(alt (*.f64 (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64))) (log.f64 (tanh.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) f) (PI.f64))))) (patch (*.f64 (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64))) (log.f64 (tanh.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) f) (PI.f64))))) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64))) (patch (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64))) #<representation binary64>) () ())
#s(alt (sqrt.f64 (PI.f64)) (patch (sqrt.f64 (PI.f64)) #<representation binary64>) () ())
#s(alt (*.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (*.f64 f #s(literal 1/4 binary64)) (PI.f64))))) (patch (*.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (*.f64 f #s(literal 1/4 binary64)) (PI.f64))))) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 4 binary64) (PI.f64)) (patch (/.f64 #s(literal 4 binary64) (PI.f64)) #<representation binary64>) () ())
#s(alt (PI.f64) (patch (PI.f64) #<representation binary64>) () ())
#s(alt (log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (*.f64 f #s(literal 1/4 binary64)) (PI.f64)))) (patch (log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (*.f64 f #s(literal 1/4 binary64)) (PI.f64)))) #<representation binary64>) () ())
#s(alt (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))) (patch (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))) #<representation binary64>) () ())
#s(alt (/.f64 (log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64)))) (*.f64 #s(literal 1/4 binary64) (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))))) (patch (/.f64 (log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64)))) (*.f64 #s(literal 1/4 binary64) (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))))) #<representation binary64>) () ())
#s(alt (log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64)))) (patch (log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64)))) #<representation binary64>) () ())
#s(alt #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64))) (patch #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64))) #<representation binary64>) () ())
#s(alt (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (*.f64 #s(literal -1/4 binary64) (PI.f64))) (*.f64 (*.f64 #s(literal -1/4 binary64) (PI.f64)) (log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (*.f64 f #s(literal 1/4 binary64)) (PI.f64)))))) (*.f64 (*.f64 #s(literal -1/4 binary64) (PI.f64)) (*.f64 #s(literal -1/4 binary64) (PI.f64)))) (patch (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (*.f64 #s(literal -1/4 binary64) (PI.f64))) (*.f64 (*.f64 #s(literal -1/4 binary64) (PI.f64)) (log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (*.f64 f #s(literal 1/4 binary64)) (PI.f64)))))) (*.f64 (*.f64 #s(literal -1/4 binary64) (PI.f64)) (*.f64 #s(literal -1/4 binary64) (PI.f64)))) #<representation binary64>) () ())
#s(alt (*.f64 #s(literal 0 binary64) (*.f64 #s(literal -1/4 binary64) (PI.f64))) (patch (*.f64 #s(literal 0 binary64) (*.f64 #s(literal -1/4 binary64) (PI.f64))) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 #s(literal -1/4 binary64) (PI.f64)) (*.f64 #s(literal -1/4 binary64) (PI.f64))) (patch (*.f64 (*.f64 #s(literal -1/4 binary64) (PI.f64)) (*.f64 #s(literal -1/4 binary64) (PI.f64))) #<representation binary64>) () ())
#s(alt (-.f64 (*.f64 #s(literal 0 binary64) (*.f64 #s(literal -1/4 binary64) (PI.f64))) (*.f64 (*.f64 #s(literal -1/4 binary64) (PI.f64)) (log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (*.f64 f #s(literal 1/4 binary64)) (PI.f64)))))) (patch (-.f64 (*.f64 #s(literal 0 binary64) (*.f64 #s(literal -1/4 binary64) (PI.f64))) (*.f64 (*.f64 #s(literal -1/4 binary64) (PI.f64)) (log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (*.f64 f #s(literal 1/4 binary64)) (PI.f64)))))) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (patch (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 #s(literal -2 binary64) (*.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) #s(literal 2 binary64)) #s(literal 1/192 binary64)) (*.f64 (+.f64 (PI.f64) (PI.f64)) #s(literal 1/16 binary64))) (patch (fma.f64 #s(literal -2 binary64) (*.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) #s(literal 2 binary64)) #s(literal 1/192 binary64)) (*.f64 (+.f64 (PI.f64) (PI.f64)) #s(literal 1/16 binary64))) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) #s(literal 2 binary64)) #s(literal 1/192 binary64)) (patch (*.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) #s(literal 2 binary64)) #s(literal 1/192 binary64)) #<representation binary64>) () ())
#s(alt (*.f64 (+.f64 (PI.f64) (PI.f64)) #s(literal 2 binary64)) (patch (*.f64 (+.f64 (PI.f64) (PI.f64)) #s(literal 2 binary64)) #<representation binary64>) () ())
#s(alt (log.f64 (tanh.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) f) (PI.f64)))) (patch (log.f64 (tanh.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) f) (PI.f64)))) #<representation binary64>) () ())
#s(alt #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (*.f64 f #s(literal 1/4 binary64)) (PI.f64))) (patch #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (*.f64 f #s(literal 1/4 binary64)) (PI.f64))) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 f #s(literal 1/4 binary64)) (PI.f64)) (patch (*.f64 (*.f64 f #s(literal 1/4 binary64)) (PI.f64)) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 #s(literal -1/4 binary64) (PI.f64)) (log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (*.f64 f #s(literal 1/4 binary64)) (PI.f64))))) (patch (*.f64 (*.f64 #s(literal -1/4 binary64) (PI.f64)) (log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (*.f64 f #s(literal 1/4 binary64)) (PI.f64))))) #<representation binary64>) () ())
#s(alt #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -2 binary64) (*.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) #s(literal 2 binary64)) #s(literal 1/192 binary64)) (*.f64 (+.f64 (PI.f64) (PI.f64)) #s(literal 1/16 binary64))) f) f (/.f64 #s(literal 4 binary64) (PI.f64))) f)) (patch #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -2 binary64) (*.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) #s(literal 2 binary64)) #s(literal 1/192 binary64)) (*.f64 (+.f64 (PI.f64) (PI.f64)) #s(literal 1/16 binary64))) f) f (/.f64 #s(literal 4 binary64) (PI.f64))) f)) #<representation binary64>) () ())
#s(alt (*.f64 (fma.f64 #s(literal -2 binary64) (*.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) #s(literal 2 binary64)) #s(literal 1/192 binary64)) (*.f64 (+.f64 (PI.f64) (PI.f64)) #s(literal 1/16 binary64))) f) (patch (*.f64 (fma.f64 #s(literal -2 binary64) (*.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) #s(literal 2 binary64)) #s(literal 1/192 binary64)) (*.f64 (+.f64 (PI.f64) (PI.f64)) #s(literal 1/16 binary64))) f) #<representation binary64>) () ())
Outputs
#s(alt (* 4 (/ (+ (log f) (log (* 1/4 (PI)))) (PI))) (taylor 0 f) (#s(alt (/.f64 (*.f64 (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64))) (log.f64 (tanh.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) f) (PI.f64))))) (sqrt.f64 (PI.f64))) (patch (/.f64 (*.f64 (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64))) (log.f64 (tanh.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) f) (PI.f64))))) (sqrt.f64 (PI.f64))) #<representation binary64>) () ())) ())
#s(alt (+ (* 4 (/ (+ (log f) (log (* 1/4 (PI)))) (PI))) (* 8 (/ (* f (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2)))) (pow (PI) 2)))) (taylor 0 f) (#s(alt (/.f64 (*.f64 (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64))) (log.f64 (tanh.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) f) (PI.f64))))) (sqrt.f64 (PI.f64))) (patch (/.f64 (*.f64 (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64))) (log.f64 (tanh.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) f) (PI.f64))))) (sqrt.f64 (PI.f64))) #<representation binary64>) () ())) ())
#s(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)))))) (taylor 0 f) (#s(alt (/.f64 (*.f64 (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64))) (log.f64 (tanh.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) f) (PI.f64))))) (sqrt.f64 (PI.f64))) (patch (/.f64 (*.f64 (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64))) (log.f64 (tanh.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) f) (PI.f64))))) (sqrt.f64 (PI.f64))) #<representation binary64>) () ())) ())
#s(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)))))))) (taylor 0 f) (#s(alt (/.f64 (*.f64 (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64))) (log.f64 (tanh.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) f) (PI.f64))))) (sqrt.f64 (PI.f64))) (patch (/.f64 (*.f64 (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64))) (log.f64 (tanh.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) f) (PI.f64))))) (sqrt.f64 (PI.f64))) #<representation binary64>) () ())) ())
#s(alt (* 4 (* (sqrt (/ 1 (PI))) (+ (log f) (log (* 1/4 (PI)))))) (taylor 0 f) (#s(alt (*.f64 (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64))) (log.f64 (tanh.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) f) (PI.f64))))) (patch (*.f64 (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64))) (log.f64 (tanh.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) f) (PI.f64))))) #<representation binary64>) () ())) ())
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Calls

3 calls:

TimeVariablePointExpression
18.0ms
f
@inf
((/ (* (/ 4 (sqrt (PI))) (log (tanh (* (* 1/4 f) (PI))))) (sqrt (PI))) (* (/ 4 (sqrt (PI))) (log (tanh (* (* 1/4 f) (PI))))) (/ 4 (sqrt (PI))) (sqrt (PI)) (* (/ 4 (PI)) (log (tanh (* f (* 1/4 (PI)))))) (/ 4 (PI)) (PI) (log (tanh (* f (* 1/4 (PI))))) (* (sqrt (PI)) (sqrt (PI))) (/ (log (tanh (* f (* 1/4 (PI))))) (* 1/4 (* (sqrt (PI)) (sqrt (PI))))) (log (tanh (* f (* 1/4 (PI))))) (tanh (* f (* 1/4 (PI)))) (/ (- (* 0 (* -1/4 (PI))) (* (* -1/4 (PI)) (log (tanh (* f (* 1/4 (PI))))))) (* (* -1/4 (PI)) (* -1/4 (PI)))) (* 0 (* -1/4 (PI))) (* (* -1/4 (PI)) (* -1/4 (PI))) (- (* 0 (* -1/4 (PI))) (* (* -1/4 (PI)) (log (tanh (* f (* 1/4 (PI))))))) (/ 1 (/ (PI) 4)) (+ (* -2 (* (* (+ (PI) (PI)) 2) 1/192)) (* (+ (PI) (PI)) 1/16)) (* (* (+ (PI) (PI)) 2) 1/192) (* (+ (PI) (PI)) 2) (log (tanh (* (* 1/4 f) (PI)))) (tanh (* f (* 1/4 (PI)))) (* (* f 1/4) (PI)) (* (* -1/4 (PI)) (log (tanh (* f (* 1/4 (PI)))))) (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (* (+ (* -2 (* (* (+ (PI) (PI)) 2) 1/192)) (* (+ (PI) (PI)) 1/16)) f))
10.0ms
f
@-inf
((/ (* (/ 4 (sqrt (PI))) (log (tanh (* (* 1/4 f) (PI))))) (sqrt (PI))) (* (/ 4 (sqrt (PI))) (log (tanh (* (* 1/4 f) (PI))))) (/ 4 (sqrt (PI))) (sqrt (PI)) (* (/ 4 (PI)) (log (tanh (* f (* 1/4 (PI)))))) (/ 4 (PI)) (PI) (log (tanh (* f (* 1/4 (PI))))) (* (sqrt (PI)) (sqrt (PI))) (/ (log (tanh (* f (* 1/4 (PI))))) (* 1/4 (* (sqrt (PI)) (sqrt (PI))))) (log (tanh (* f (* 1/4 (PI))))) (tanh (* f (* 1/4 (PI)))) (/ (- (* 0 (* -1/4 (PI))) (* (* -1/4 (PI)) (log (tanh (* f (* 1/4 (PI))))))) (* (* -1/4 (PI)) (* -1/4 (PI)))) (* 0 (* -1/4 (PI))) (* (* -1/4 (PI)) (* -1/4 (PI))) (- (* 0 (* -1/4 (PI))) (* (* -1/4 (PI)) (log (tanh (* f (* 1/4 (PI))))))) (/ 1 (/ (PI) 4)) (+ (* -2 (* (* (+ (PI) (PI)) 2) 1/192)) (* (+ (PI) (PI)) 1/16)) (* (* (+ (PI) (PI)) 2) 1/192) (* (+ (PI) (PI)) 2) (log (tanh (* (* 1/4 f) (PI)))) (tanh (* f (* 1/4 (PI)))) (* (* f 1/4) (PI)) (* (* -1/4 (PI)) (log (tanh (* f (* 1/4 (PI)))))) (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (* (+ (* -2 (* (* (+ (PI) (PI)) 2) 1/192)) (* (+ (PI) (PI)) 1/16)) f))
4.0ms
f
@0
((/ (* (/ 4 (sqrt (PI))) (log (tanh (* (* 1/4 f) (PI))))) (sqrt (PI))) (* (/ 4 (sqrt (PI))) (log (tanh (* (* 1/4 f) (PI))))) (/ 4 (sqrt (PI))) (sqrt (PI)) (* (/ 4 (PI)) (log (tanh (* f (* 1/4 (PI)))))) (/ 4 (PI)) (PI) (log (tanh (* f (* 1/4 (PI))))) (* (sqrt (PI)) (sqrt (PI))) (/ (log (tanh (* f (* 1/4 (PI))))) (* 1/4 (* (sqrt (PI)) (sqrt (PI))))) (log (tanh (* f (* 1/4 (PI))))) (tanh (* f (* 1/4 (PI)))) (/ (- (* 0 (* -1/4 (PI))) (* (* -1/4 (PI)) (log (tanh (* f (* 1/4 (PI))))))) (* (* -1/4 (PI)) (* -1/4 (PI)))) (* 0 (* -1/4 (PI))) (* (* -1/4 (PI)) (* -1/4 (PI))) (- (* 0 (* -1/4 (PI))) (* (* -1/4 (PI)) (log (tanh (* f (* 1/4 (PI))))))) (/ 1 (/ (PI) 4)) (+ (* -2 (* (* (+ (PI) (PI)) 2) 1/192)) (* (+ (PI) (PI)) 1/16)) (* (* (+ (PI) (PI)) 2) 1/192) (* (+ (PI) (PI)) 2) (log (tanh (* (* 1/4 f) (PI)))) (tanh (* f (* 1/4 (PI)))) (* (* f 1/4) (PI)) (* (* -1/4 (PI)) (log (tanh (* f (* 1/4 (PI)))))) (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (* (+ (* -2 (* (* (+ (PI) (PI)) 2) 1/192)) (* (+ (PI) (PI)) 1/16)) f))

simplify193.0ms (1.3%)

Memory
17.0MiB live, 258.2MiB allocated
Algorithm
1×egg-herbie
Rules
15 882×lower-fma.f64
15 882×lower-fma.f32
4 326×lower-+.f64
4 326×lower-+.f32
4 006×lower-*.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02746750
18965886
238855099
084304932
Stop Event
1×iter limit
1×node limit
Counts
180 → 180
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))))
(+ (* 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))))))
(+ (* 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))))))))
(* 4 (* (sqrt (/ 1 (PI))) (+ (log f) (log (* 1/4 (PI))))))
(+ (* 4 (* (sqrt (/ 1 (PI))) (+ (log f) (log (* 1/4 (PI)))))) (* 8 (* (* f (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2)))) (sqrt (/ 1 (pow (PI) 3))))))
(+ (* 4 (* (sqrt (/ 1 (PI))) (+ (log f) (log (* 1/4 (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))))) (sqrt (/ 1 (PI))))) (* 8 (* (sqrt (/ 1 (pow (PI) 3))) (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))))))))
(+ (* 4 (* (sqrt (/ 1 (PI))) (+ (log f) (log (* 1/4 (PI)))))) (* f (+ (* 8 (* (sqrt (/ 1 (pow (PI) 3))) (+ (* -1/16 (pow (PI) 2)) (* 1/16 (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)))))) (sqrt (/ 1 (PI))))) (* 2 (* (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)))))))))))
(* 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))))
(+ (* 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))))))
(+ (* 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))))))))
(+ (log f) (log (* 1/4 (PI))))
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rewrite248.0ms (1.6%)

Memory
-12.4MiB live, 421.0MiB allocated
Rules
5 322×lower-fma.f32
5 318×lower-fma.f64
4 048×lower-*.f32
4 016×lower-*.f64
3 412×lower-/.f32
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
061325
0100270
1375245
22469245
08398245
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
26 → 1 340
Calls
Call 1
Inputs
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(*.f64 (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64))) (log.f64 (tanh.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) f) (PI.f64)))))
(/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64)))
(sqrt.f64 (PI.f64))
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(/.f64 #s(literal 4 binary64) (PI.f64))
(PI.f64)
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(log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64))))
#s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64)))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (*.f64 #s(literal -1/4 binary64) (PI.f64))) (*.f64 (*.f64 #s(literal -1/4 binary64) (PI.f64)) (log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (*.f64 f #s(literal 1/4 binary64)) (PI.f64)))))) (*.f64 (*.f64 #s(literal -1/4 binary64) (PI.f64)) (*.f64 #s(literal -1/4 binary64) (PI.f64))))
(*.f64 #s(literal 0 binary64) (*.f64 #s(literal -1/4 binary64) (PI.f64)))
(*.f64 (*.f64 #s(literal -1/4 binary64) (PI.f64)) (*.f64 #s(literal -1/4 binary64) (PI.f64)))
(-.f64 (*.f64 #s(literal 0 binary64) (*.f64 #s(literal -1/4 binary64) (PI.f64))) (*.f64 (*.f64 #s(literal -1/4 binary64) (PI.f64)) (log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (*.f64 f #s(literal 1/4 binary64)) (PI.f64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64)))
(fma.f64 #s(literal -2 binary64) (*.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) #s(literal 2 binary64)) #s(literal 1/192 binary64)) (*.f64 (+.f64 (PI.f64) (PI.f64)) #s(literal 1/16 binary64)))
(*.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) #s(literal 2 binary64)) #s(literal 1/192 binary64))
(*.f64 (+.f64 (PI.f64) (PI.f64)) #s(literal 2 binary64))
(log.f64 (tanh.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) f) (PI.f64))))
#s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (*.f64 f #s(literal 1/4 binary64)) (PI.f64)))
(*.f64 (*.f64 f #s(literal 1/4 binary64)) (PI.f64))
(*.f64 (*.f64 #s(literal -1/4 binary64) (PI.f64)) (log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (*.f64 f #s(literal 1/4 binary64)) (PI.f64)))))
#s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -2 binary64) (*.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) #s(literal 2 binary64)) #s(literal 1/192 binary64)) (*.f64 (+.f64 (PI.f64) (PI.f64)) #s(literal 1/16 binary64))) f) f (/.f64 #s(literal 4 binary64) (PI.f64))) f))
(*.f64 (fma.f64 #s(literal -2 binary64) (*.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) #s(literal 2 binary64)) #s(literal 1/192 binary64)) (*.f64 (+.f64 (PI.f64) (PI.f64)) #s(literal 1/16 binary64))) f)
Outputs
(*.f64 (/.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) f))) (sqrt.f64 (PI.f64))) (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64))))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64))) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) f))) (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64))))) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64))) (*.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) f))) (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64)))))
(*.f64 (*.f64 (neg.f64 (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64)))) (log.f64 (tanh.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) f)))) (/.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 (PI.f64)))))
(*.f64 #s(literal 1 binary64) (*.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) f))) (/.f64 #s(literal 4 binary64) (PI.f64))))
(*.f64 (*.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) f))) (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64))))
(*.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) f))) (/.f64 #s(literal 4 binary64) (PI.f64)))
(*.f64 (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64))) (/.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) f))) (sqrt.f64 (PI.f64))))
(*.f64 #s(literal 4 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64))) (/.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) f))) (sqrt.f64 (PI.f64)))))
(pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) f))) (/.f64 #s(literal 4 binary64) (PI.f64)))) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) f))) (/.f64 #s(literal 4 binary64) (PI.f64)))) #s(literal -1 binary64))
(/.f64 (neg.f64 (*.f64 #s(literal -4 binary64) (/.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) f))) (sqrt.f64 (PI.f64))))) (neg.f64 (neg.f64 (sqrt.f64 (PI.f64)))))
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (/.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) f))) (sqrt.f64 (PI.f64))))) (neg.f64 (*.f64 #s(literal 1/4 binary64) (sqrt.f64 (PI.f64)))))
(/.f64 (neg.f64 (*.f64 (*.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) f))) (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64)))) #s(literal 1 binary64))) (neg.f64 (sqrt.f64 (PI.f64))))
(/.f64 (neg.f64 (neg.f64 (*.f64 (neg.f64 (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64)))) (log.f64 (tanh.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) f)))))) (neg.f64 (neg.f64 (neg.f64 (sqrt.f64 (PI.f64))))))
(/.f64 (neg.f64 (*.f64 (*.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) f))) #s(literal 4 binary64)) #s(literal 1 binary64))) (neg.f64 (PI.f64)))
(/.f64 (neg.f64 (*.f64 #s(literal -4 binary64) (log.f64 (tanh.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) f))))) (neg.f64 (neg.f64 (PI.f64))))
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (log.f64 (tanh.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) f))))) (*.f64 #s(literal -1/4 binary64) (PI.f64)))
(/.f64 (*.f64 #s(literal -4 binary64) (/.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) f))) (sqrt.f64 (PI.f64)))) (neg.f64 (sqrt.f64 (PI.f64))))
(/.f64 (*.f64 #s(literal 1 binary64) (/.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) f))) (sqrt.f64 (PI.f64)))) (*.f64 #s(literal 1/4 binary64) (sqrt.f64 (PI.f64))))
(/.f64 (*.f64 (*.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) f))) (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64)))) #s(literal 1 binary64)) (sqrt.f64 (PI.f64)))
(/.f64 (neg.f64 (*.f64 (neg.f64 (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64)))) (log.f64 (tanh.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) f))))) (neg.f64 (neg.f64 (sqrt.f64 (PI.f64)))))
(/.f64 (neg.f64 (*.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) f))) #s(literal 4 binary64))) (neg.f64 (PI.f64)))
(/.f64 (*.f64 (*.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) f))) #s(literal 4 binary64)) #s(literal 1 binary64)) (PI.f64))
(/.f64 (*.f64 #s(literal -4 binary64) (log.f64 (tanh.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) f)))) (neg.f64 (PI.f64)))
(/.f64 (*.f64 #s(literal 1 binary64) (log.f64 (tanh.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) f)))) (*.f64 #s(literal 1/4 binary64) (PI.f64)))
(/.f64 (*.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) f))) #s(literal 4 binary64)) (PI.f64))
(/.f64 (*.f64 (neg.f64 (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64)))) (log.f64 (tanh.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) f)))) (neg.f64 (sqrt.f64 (PI.f64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) f))) (/.f64 #s(literal 4 binary64) (PI.f64)))) #s(literal 1 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (*.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) f))) (/.f64 #s(literal 4 binary64) (PI.f64))))))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (*.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) f))) (/.f64 #s(literal 4 binary64) (PI.f64)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) f))) (/.f64 #s(literal 4 binary64) (PI.f64)))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) f))) (/.f64 #s(literal 4 binary64) (PI.f64)))))
(/.f64 (*.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) f))) (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (PI.f64)))
(neg.f64 (/.f64 (*.f64 (neg.f64 (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64)))) (log.f64 (tanh.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) f)))) (sqrt.f64 (PI.f64))))
(neg.f64 (/.f64 (*.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) f))) (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64)))) (neg.f64 (sqrt.f64 (PI.f64)))))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (*.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) f))) (/.f64 #s(literal 4 binary64) (PI.f64))))) #s(literal -1 binary64)))
(*.f64 (*.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) f))) #s(literal 4 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64))))
(*.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) f))) (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64))))
(*.f64 (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64))) (log.f64 (tanh.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) f))))
(*.f64 #s(literal 4 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64))) (log.f64 (tanh.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) f)))))
(*.f64 #s(literal 4 binary64) (/.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) f))) (sqrt.f64 (PI.f64))))
(pow.f64 (/.f64 (sqrt.f64 (PI.f64)) (*.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) f))) #s(literal 4 binary64))) #s(literal -1 binary64))
(/.f64 (neg.f64 (*.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) f))) #s(literal -4 binary64))) (neg.f64 (neg.f64 (sqrt.f64 (PI.f64)))))
(/.f64 (neg.f64 (*.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) f))) #s(literal 1 binary64))) (neg.f64 (*.f64 #s(literal 1/4 binary64) (sqrt.f64 (PI.f64)))))
(/.f64 (neg.f64 (neg.f64 (*.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) f))) #s(literal 4 binary64)))) (neg.f64 (neg.f64 (sqrt.f64 (PI.f64)))))
(/.f64 (neg.f64 (*.f64 #s(literal -4 binary64) (log.f64 (tanh.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) f))))) (neg.f64 (neg.f64 (sqrt.f64 (PI.f64)))))
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (log.f64 (tanh.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) f))))) (neg.f64 (*.f64 #s(literal 1/4 binary64) (sqrt.f64 (PI.f64)))))
(/.f64 (*.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) f))) #s(literal -4 binary64)) (neg.f64 (sqrt.f64 (PI.f64))))
(/.f64 (*.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) f))) #s(literal 1 binary64)) (*.f64 #s(literal 1/4 binary64) (sqrt.f64 (PI.f64))))
(/.f64 (neg.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) f)))) (neg.f64 (*.f64 #s(literal 1/4 binary64) (sqrt.f64 (PI.f64)))))
(/.f64 (neg.f64 (*.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) f))) #s(literal 4 binary64))) (neg.f64 (sqrt.f64 (PI.f64))))
(/.f64 (*.f64 #s(literal -4 binary64) (log.f64 (tanh.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) f)))) (neg.f64 (sqrt.f64 (PI.f64))))
(/.f64 (*.f64 #s(literal 1 binary64) (log.f64 (tanh.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) f)))) (*.f64 #s(literal 1/4 binary64) (sqrt.f64 (PI.f64))))
(/.f64 (*.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) f))) #s(literal 4 binary64)) (sqrt.f64 (PI.f64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (sqrt.f64 (PI.f64)) (*.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) f))) #s(literal 4 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (PI.f64)) (*.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) f))) #s(literal 4 binary64))))
(/.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) f))) (*.f64 #s(literal 1/4 binary64) (sqrt.f64 (PI.f64))))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64))) #s(literal 4 binary64))
(*.f64 #s(literal -4 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 (PI.f64)))))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64))))
(*.f64 #s(literal 4 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64))))
(pow.f64 (/.f64 (*.f64 #s(literal 1/4 binary64) (sqrt.f64 (PI.f64))) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (*.f64 #s(literal 1/4 binary64) (sqrt.f64 (PI.f64))) #s(literal -1 binary64))
(/.f64 #s(literal -4 binary64) (neg.f64 (neg.f64 (neg.f64 (sqrt.f64 (PI.f64))))))
(/.f64 #s(literal -4 binary64) (neg.f64 (sqrt.f64 (PI.f64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 #s(literal 1/4 binary64) (sqrt.f64 (PI.f64))) #s(literal 1 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 #s(literal 1/4 binary64) (sqrt.f64 (PI.f64)))))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (*.f64 #s(literal 1/4 binary64) (sqrt.f64 (PI.f64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 1/4 binary64) (sqrt.f64 (PI.f64))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (sqrt.f64 (PI.f64))))
(/.f64 #s(literal 4 binary64) (neg.f64 (neg.f64 (sqrt.f64 (PI.f64)))))
(/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64)))
(neg.f64 (/.f64 #s(literal -4 binary64) (sqrt.f64 (PI.f64))))
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 1/4 binary64) (sqrt.f64 (PI.f64)))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (*.f64 (PI.f64) (pow.f64 (PI.f64) #s(literal 2/3 binary64))) #s(literal 1/4 binary64)) (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (PI.f64)))) #s(literal 1/4 binary64)) (pow.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) #s(literal 1/4 binary64)) (pow.f64 (pow.f64 (PI.f64) #s(literal 4/3 binary64)) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/4 binary64)) (sqrt.f64 (PI.f64)))
(*.f64 (pow.f64 (*.f64 (sqrt.f64 (PI.f64)) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (sqrt.f64 (PI.f64)) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (*.f64 (sqrt.f64 (PI.f64)) (PI.f64)) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (PI.f64))) #s(literal 1 binary64)) (pow.f64 (sqrt.f64 (sqrt.f64 (PI.f64))) #s(literal 1 binary64)))
(*.f64 (pow.f64 (PI.f64) #s(literal 1/6 binary64)) (cbrt.f64 (PI.f64)))
(*.f64 (sqrt.f64 (sqrt.f64 (PI.f64))) (sqrt.f64 (sqrt.f64 (PI.f64))))
(*.f64 (cbrt.f64 (PI.f64)) (fabs.f64 (pow.f64 (PI.f64) #s(literal 1/6 binary64))))
(*.f64 (cbrt.f64 (PI.f64)) (pow.f64 (pow.f64 (PI.f64) #s(literal 1/6 binary64)) #s(literal 1 binary64)))
(*.f64 (cbrt.f64 (PI.f64)) (pow.f64 (PI.f64) #s(literal 1/6 binary64)))
(*.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64)))
(*.f64 (sqrt.f64 (PI.f64)) #s(literal 1 binary64))
(pow.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/8 binary64))
(pow.f64 (sqrt.f64 (sqrt.f64 (PI.f64))) #s(literal 2 binary64))
(pow.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64)) #s(literal 1/6 binary64))
(pow.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))
(pow.f64 (cbrt.f64 (PI.f64)) #s(literal 3/2 binary64))
(pow.f64 (sqrt.f64 (PI.f64)) #s(literal 1 binary64))
(pow.f64 (PI.f64) #s(literal 1/2 binary64))
(sqrt.f64 (PI.f64))
(fabs.f64 (neg.f64 (sqrt.f64 (PI.f64))))
(fabs.f64 (sqrt.f64 (PI.f64)))
(exp.f64 (*.f64 (log.f64 (*.f64 (PI.f64) (PI.f64))) #s(literal 1/4 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 (PI.f64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (PI.f64)) #s(literal 1/2 binary64)))
(*.f64 (/.f64 (log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) f))) (neg.f64 (PI.f64))) #s(literal -4 binary64))
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(/.f64 (+.f64 #s(literal 0 binary64) (pow.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (PI.f64)) (log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) f)))) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (-.f64 (pow.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) f)))) #s(literal 2 binary64)) #s(literal 0 binary64))))
(/.f64 (neg.f64 (neg.f64 (pow.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) f)))) #s(literal 2 binary64)))) (*.f64 (*.f64 #s(literal -1/4 binary64) (PI.f64)) (log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) f)))))
(/.f64 (neg.f64 (pow.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) f)))) #s(literal 2 binary64))) (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) f)))))
(/.f64 (pow.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) f)))) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal -1/4 binary64) (PI.f64)) (log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) f)))))
(/.f64 (pow.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) f)))) #s(literal 3 binary64)) (neg.f64 (pow.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) f)))) #s(literal 2 binary64))))
(/.f64 (pow.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (PI.f64)) (log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) f)))) #s(literal 3 binary64)) (neg.f64 (neg.f64 (pow.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) f)))) #s(literal 2 binary64)))))
(/.f64 (pow.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (PI.f64)) (log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) f)))) #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) f)))) #s(literal 2 binary64)))
(neg.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) f)))))
(fma.f64 (*.f64 (log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) f))) #s(literal -1/4 binary64)) (PI.f64) #s(literal 0 binary64))
(fma.f64 (*.f64 (log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) f))) (PI.f64)) #s(literal -1/4 binary64) #s(literal 0 binary64))
(fma.f64 #s(literal -1 binary64) (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) f)))) #s(literal 0 binary64))
(fma.f64 (*.f64 #s(literal -1/4 binary64) (PI.f64)) (log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) f))) #s(literal 0 binary64))
(fma.f64 #s(literal -1/4 binary64) (*.f64 (log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) f))) (PI.f64)) #s(literal 0 binary64))
(fma.f64 (log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) f))) (*.f64 #s(literal -1/4 binary64) (PI.f64)) #s(literal 0 binary64))
(fma.f64 (PI.f64) (*.f64 #s(literal -1/4 binary64) (log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) f)))) #s(literal 0 binary64))
(-.f64 #s(literal 0 binary64) (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) f)))))
(+.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (PI.f64)) (log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) f)))) #s(literal 0 binary64))
(+.f64 #s(literal 0 binary64) (*.f64 (*.f64 #s(literal -1/4 binary64) (PI.f64)) (log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) f)))))
#s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/96 binary64) (+.f64 (PI.f64) (PI.f64)) (+.f64 (PI.f64) (PI.f64))) f) f (/.f64 #s(literal 4 binary64) (PI.f64))) f))
(*.f64 (fma.f64 #s(literal -1/96 binary64) (+.f64 (PI.f64) (PI.f64)) (+.f64 (PI.f64) (PI.f64))) f)
(*.f64 f (fma.f64 #s(literal -1/96 binary64) (+.f64 (PI.f64) (PI.f64)) (+.f64 (PI.f64) (PI.f64))))
(/.f64 (neg.f64 (*.f64 (fma.f64 #s(literal 1/64 binary64) (*.f64 (PI.f64) (PI.f64)) (neg.f64 (*.f64 #s(literal 1/64 binary64) (*.f64 (PI.f64) (PI.f64))))) f)) (neg.f64 (-.f64 (*.f64 #s(literal -1/96 binary64) (+.f64 (PI.f64) (PI.f64))) (+.f64 (PI.f64) (PI.f64)))))
(/.f64 (neg.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) f)) (neg.f64 (fma.f64 #s(literal 1/64 binary64) (*.f64 (PI.f64) (PI.f64)) (*.f64 (+.f64 (PI.f64) (PI.f64)) (-.f64 (+.f64 (PI.f64) (PI.f64)) (*.f64 #s(literal -1/96 binary64) (+.f64 (PI.f64) (PI.f64))))))))
(/.f64 (neg.f64 (*.f64 f (fma.f64 #s(literal 1/64 binary64) (*.f64 (PI.f64) (PI.f64)) (neg.f64 (*.f64 #s(literal 1/64 binary64) (*.f64 (PI.f64) (PI.f64))))))) (neg.f64 (-.f64 (*.f64 #s(literal -1/96 binary64) (+.f64 (PI.f64) (PI.f64))) (+.f64 (PI.f64) (PI.f64)))))
(/.f64 (neg.f64 (*.f64 f (+.f64 (PI.f64) (PI.f64)))) (neg.f64 (fma.f64 #s(literal 1/64 binary64) (*.f64 (PI.f64) (PI.f64)) (*.f64 (+.f64 (PI.f64) (PI.f64)) (-.f64 (+.f64 (PI.f64) (PI.f64)) (*.f64 #s(literal -1/96 binary64) (+.f64 (PI.f64) (PI.f64))))))))
(/.f64 (*.f64 (fma.f64 #s(literal 1/64 binary64) (*.f64 (PI.f64) (PI.f64)) (neg.f64 (*.f64 #s(literal 1/64 binary64) (*.f64 (PI.f64) (PI.f64))))) f) (-.f64 (*.f64 #s(literal -1/96 binary64) (+.f64 (PI.f64) (PI.f64))) (+.f64 (PI.f64) (PI.f64))))
(/.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) f) (fma.f64 #s(literal 1/64 binary64) (*.f64 (PI.f64) (PI.f64)) (*.f64 (+.f64 (PI.f64) (PI.f64)) (-.f64 (+.f64 (PI.f64) (PI.f64)) (*.f64 #s(literal -1/96 binary64) (+.f64 (PI.f64) (PI.f64)))))))
(/.f64 (*.f64 f (fma.f64 #s(literal 1/64 binary64) (*.f64 (PI.f64) (PI.f64)) (neg.f64 (*.f64 #s(literal 1/64 binary64) (*.f64 (PI.f64) (PI.f64)))))) (-.f64 (*.f64 #s(literal -1/96 binary64) (+.f64 (PI.f64) (PI.f64))) (+.f64 (PI.f64) (PI.f64))))
(/.f64 (*.f64 f (+.f64 (PI.f64) (PI.f64))) (fma.f64 #s(literal 1/64 binary64) (*.f64 (PI.f64) (PI.f64)) (*.f64 (+.f64 (PI.f64) (PI.f64)) (-.f64 (+.f64 (PI.f64) (PI.f64)) (*.f64 #s(literal -1/96 binary64) (+.f64 (PI.f64) (PI.f64)))))))
(fma.f64 (*.f64 #s(literal -1/96 binary64) (+.f64 (PI.f64) (PI.f64))) f (*.f64 (+.f64 (PI.f64) (PI.f64)) f))
(fma.f64 (+.f64 (PI.f64) (PI.f64)) f (*.f64 (*.f64 #s(literal -1/96 binary64) (+.f64 (PI.f64) (PI.f64))) f))
(fma.f64 f (*.f64 #s(literal -1/96 binary64) (+.f64 (PI.f64) (PI.f64))) (*.f64 f (+.f64 (PI.f64) (PI.f64))))
(fma.f64 f (+.f64 (PI.f64) (PI.f64)) (*.f64 f (*.f64 #s(literal -1/96 binary64) (+.f64 (PI.f64) (PI.f64)))))
(+.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) f) (*.f64 (*.f64 #s(literal -1/96 binary64) (+.f64 (PI.f64) (PI.f64))) f))
(+.f64 (*.f64 f (+.f64 (PI.f64) (PI.f64))) (*.f64 f (*.f64 #s(literal -1/96 binary64) (+.f64 (PI.f64) (PI.f64)))))
(+.f64 (*.f64 (*.f64 #s(literal -1/96 binary64) (+.f64 (PI.f64) (PI.f64))) f) (*.f64 (+.f64 (PI.f64) (PI.f64)) f))
(+.f64 (*.f64 f (*.f64 #s(literal -1/96 binary64) (+.f64 (PI.f64) (PI.f64)))) (*.f64 f (+.f64 (PI.f64) (PI.f64))))

eval785.0ms (5.1%)

Memory
12.5MiB live, 652.5MiB allocated
Compiler

Compiled 83 970 to 12 632 computations (85% saved)

prune532.0ms (3.4%)

Memory
-27.8MiB live, 460.3MiB allocated
Pruning

24 alts after pruning (20 fresh and 4 done)

PrunedKeptTotal
New2 67192 680
Fresh41115
Picked415
Done033
Total2 679242 703
Accuracy
99.9%
Counts
2 703 → 24
Alt Table
Click to see full alt table
StatusAccuracyProgram
96.1%
(/.f64 (/.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) f)))) (*.f64 (PI.f64) #s(literal 1/16 binary64))) (PI.f64))
96.6%
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (*.f64 #s(literal -1/4 binary64) (PI.f64))) (*.f64 (*.f64 #s(literal -1/4 binary64) (PI.f64)) (log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (fma.f64 (*.f64 f f) (fma.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 #s(literal -1/32 binary64) (*.f64 (PI.f64) (PI.f64))) (PI.f64)) (*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64)) #s(literal -7/768 binary64))) (*.f64 (PI.f64) #s(literal 1/4 binary64))) f))))) (*.f64 (*.f64 #s(literal -1/4 binary64) (PI.f64)) (*.f64 #s(literal -1/4 binary64) (PI.f64))))
9.1%
(/.f64 (-.f64 (log1p.f64 (neg.f64 (exp.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 1/4 binary64) (PI.f64)))
9.1%
(/.f64 (-.f64 (log1p.f64 (neg.f64 (exp.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 f (PI.f64)))))) (log1p.f64 (exp.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 f (PI.f64)))))) (*.f64 #s(literal 1/4 binary64) (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)))))
95.9%
(/.f64 (*.f64 (log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (*.f64 f #s(literal 1/4 binary64)) (PI.f64)))) (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (PI.f64)))
96.9%
(/.f64 (log.f64 (/.f64 (expm1.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/2 binary64))) (+.f64 (exp.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/2 binary64))) #s(literal 1 binary64)))) (*.f64 #s(literal 1/4 binary64) (PI.f64)))
✓97.4%
(/.f64 (log.f64 (tanh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64))))) (*.f64 #s(literal 1/4 binary64) (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)))))
✓98.5%
(/.f64 (log.f64 (tanh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64))))) (*.f64 #s(literal 1/4 binary64) (PI.f64)))
96.7%
(/.f64 (log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (fma.f64 #s(approx (+ (* (+ (* (* -1/128 (* (PI) (PI))) (PI)) (+ (* -1/768 (* (* (PI) (PI)) (PI))) (* -1/8 (* (* -1/32 (* (PI) (PI))) (PI))))) f) 0) (*.f64 (*.f64 #s(literal -1/192 binary64) (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64))) f)) f (*.f64 (PI.f64) #s(literal 1/4 binary64))) f))) (*.f64 #s(literal 1/4 binary64) (PI.f64)))
✓96.1%
(/.f64 (log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64)))) (*.f64 #s(literal 1/4 binary64) (PI.f64)))
96.0%
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (*.f64 f #s(literal 1/4 binary64)) (PI.f64))))))
96.0%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/4 binary64) (/.f64 (log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (*.f64 f #s(literal 1/4 binary64)) (PI.f64)))) (PI.f64))))
96.1%
(*.f64 (/.f64 #s(literal 16 binary64) (*.f64 (PI.f64) (PI.f64))) (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) f)))))
94.7%
(*.f64 (/.f64 #s(literal 4 binary64) (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)))) (log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (*.f64 f #s(literal 1/4 binary64)) (PI.f64)))))
95.9%
(*.f64 (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64))) (/.f64 (log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (*.f64 f #s(literal 1/4 binary64)) (PI.f64)))) (sqrt.f64 (PI.f64))))
✓96.0%
(*.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (*.f64 f #s(literal 1/4 binary64)) (PI.f64)))))
95.5%
(*.f64 (*.f64 (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64)))) (log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (*.f64 f #s(literal 1/4 binary64)) (PI.f64)))))
96.0%
(*.f64 (*.f64 (log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (*.f64 f #s(literal 1/4 binary64)) (PI.f64)))) (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64))))
96.4%
(neg.f64 (/.f64 (*.f64 (neg.f64 (log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (fma.f64 (*.f64 f f) (fma.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 #s(literal -1/32 binary64) (*.f64 (PI.f64) (PI.f64))) (PI.f64)) (*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64)) #s(literal -7/768 binary64))) (*.f64 (PI.f64) #s(literal 1/4 binary64))) f)))) (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (PI.f64))))
96.1%
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -2 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (PI.f64) (PI.f64))) (*.f64 (+.f64 (PI.f64) (PI.f64)) #s(literal 1/16 binary64))) f) f (/.f64 #s(literal 4 binary64) (PI.f64))) f)))))
96.7%
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (fma.f64 #s(approx (* (+ (* -2 (* (* (+ (PI) (PI)) 2) 1/192)) (* (+ (PI) (PI)) 1/16)) f) (*.f64 (*.f64 #s(literal 1/12 binary64) (PI.f64)) f)) f (/.f64 #s(literal 4 binary64) (PI.f64))) f)))))
96.0%
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 #s(approx (* (/ (* (cosh (* f (* 1/4 (PI)))) 2) (- (exp (* (* f (PI)) 3/4)) (exp (neg (* (* f (PI)) 3/4))))) (+ (- (exp (neg (* (* f (PI)) 1/2))) -1) (exp (* (* f (PI)) 1/2)))) (/.f64 #s(literal 6 binary64) (*.f64 (*.f64 #s(literal 3/2 binary64) (PI.f64)) f))))))
96.3%
(neg.f64 (*.f64 (*.f64 (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64)))) (log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -2 binary64) (*.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) #s(literal 2 binary64)) #s(literal 1/192 binary64)) (*.f64 (+.f64 (PI.f64) (PI.f64)) #s(literal 1/16 binary64))) f) f (/.f64 #s(literal 4 binary64) (PI.f64))) f)))))
96.0%
(neg.f64 (*.f64 #s(literal -4 binary64) (/.f64 (*.f64 (log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) f))) (PI.f64)) (*.f64 (PI.f64) (PI.f64)))))
Compiler

Compiled 2 014 to 691 computations (65.7% saved)

regimes140.0ms (0.9%)

Memory
-3.6MiB live, 70.4MiB allocated
Counts
60 → 1
Calls
Call 1
Inputs
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(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 #s(literal 1/4 binary64) (PI.f64)) (*.f64 f #s(literal 1/2 binary64)))) (exp.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (*.f64 f #s(literal 1/2 binary64)))) (neg.f64 (exp.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal -1/4 binary64)))))))))
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (/.f64 (-.f64 (pow.f64 (log.f64 (*.f64 (cosh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))) #s(literal 2 binary64))) #s(literal 2 binary64)) (*.f64 (neg.f64 (log.f64 (*.f64 (sinh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))) #s(literal 2 binary64)))) (neg.f64 (log.f64 (*.f64 (sinh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))) #s(literal 2 binary64)))))) (-.f64 (log.f64 (*.f64 (cosh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))) #s(literal 2 binary64))) (neg.f64 (log.f64 (*.f64 (sinh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))) #s(literal 2 binary64))))))))
(neg.f64 (/.f64 (*.f64 (-.f64 (pow.f64 (log.f64 (*.f64 (cosh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))) #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (log.f64 (*.f64 (sinh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))) #s(literal 2 binary64))) #s(literal 3 binary64))) #s(literal 4 binary64)) (*.f64 (+.f64 (pow.f64 (log.f64 (*.f64 (cosh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))) #s(literal 2 binary64))) #s(literal 2 binary64)) (*.f64 (log.f64 (*.f64 (sinh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))) #s(literal 2 binary64))) (+.f64 (log.f64 (*.f64 (sinh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))) #s(literal 2 binary64))) (log.f64 (*.f64 (cosh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))) #s(literal 2 binary64)))))) (PI.f64))))
(neg.f64 (/.f64 (*.f64 (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64))) (-.f64 (pow.f64 (log.f64 (*.f64 (cosh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))) #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (log.f64 (*.f64 (sinh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))) #s(literal 2 binary64))) #s(literal 3 binary64)))) (*.f64 (sqrt.f64 (PI.f64)) (+.f64 (pow.f64 (log.f64 (*.f64 (cosh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))) #s(literal 2 binary64))) #s(literal 2 binary64)) (*.f64 (log.f64 (*.f64 (sinh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))) #s(literal 2 binary64))) (+.f64 (log.f64 (*.f64 (sinh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))) #s(literal 2 binary64))) (log.f64 (*.f64 (cosh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))) #s(literal 2 binary64)))))))))
Outputs
(/.f64 (log.f64 (tanh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64))))) (*.f64 #s(literal 1/4 binary64) (PI.f64)))
Calls

6 calls:

53.0ms
(*.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)))))))
15.0ms
(*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)
15.0ms
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)))))
13.0ms
(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
98.5%1f
98.5%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))))))))
98.5%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)))))))
98.5%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))))))
98.5%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)))))
98.5%1(*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)
Compiler

Compiled 144 to 60 computations (58.3% saved)

regimes65.0ms (0.4%)

Memory
24.6MiB live, 60.5MiB allocated
Counts
31 → 1
Calls
Call 1
Inputs
(*.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (*.f64 f #s(literal 1/4 binary64)) (PI.f64)))))
(/.f64 (log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64)))) (*.f64 #s(literal 1/4 binary64) (PI.f64)))
(*.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (neg.f64 (log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 #s(literal 4 binary64) (*.f64 (PI.f64) f))))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (*.f64 f #s(literal 1/4 binary64)) (PI.f64))))))
(neg.f64 (*.f64 #s(literal -4 binary64) (/.f64 (*.f64 (log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) f))) (PI.f64)) (*.f64 (PI.f64) (PI.f64)))))
(*.f64 (/.f64 #s(literal 16 binary64) (*.f64 (PI.f64) (PI.f64))) (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) f)))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/4 binary64) (/.f64 (log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (*.f64 f #s(literal 1/4 binary64)) (PI.f64)))) (PI.f64))))
(neg.f64 (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) (log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 #s(literal 4 binary64) (*.f64 (PI.f64) f)))))))
(/.f64 (/.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) f)))) (*.f64 (PI.f64) #s(literal 1/16 binary64))) (PI.f64))
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 #s(approx (* (/ (* (cosh (* f (* 1/4 (PI)))) 2) (- (exp (* (* f (PI)) 3/4)) (exp (neg (* (* f (PI)) 3/4))))) (+ (- (exp (neg (* (* f (PI)) 1/2))) -1) (exp (* (* f (PI)) 1/2)))) (/.f64 #s(literal 6 binary64) (*.f64 (*.f64 #s(literal 3/2 binary64) (PI.f64)) f))))))
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) f))))))
(*.f64 (/.f64 #s(literal 4 binary64) (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)))) (log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (*.f64 f #s(literal 1/4 binary64)) (PI.f64)))))
(/.f64 (log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64)))) (*.f64 #s(literal 1/4 binary64) (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)))))
(/.f64 (log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (fma.f64 #s(approx (+ (* (+ (* (* -1/128 (* (PI) (PI))) (PI)) (+ (* -1/768 (* (* (PI) (PI)) (PI))) (* -1/8 (* (* -1/32 (* (PI) (PI))) (PI))))) f) 0) (*.f64 (*.f64 #s(literal -1/192 binary64) (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64))) f)) f (*.f64 (PI.f64) #s(literal 1/4 binary64))) f))) (*.f64 #s(literal 1/4 binary64) (PI.f64)))
(*.f64 (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64))) (/.f64 (log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (*.f64 f #s(literal 1/4 binary64)) (PI.f64)))) (sqrt.f64 (PI.f64))))
(/.f64 (*.f64 (log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (*.f64 f #s(literal 1/4 binary64)) (PI.f64)))) (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (PI.f64)))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (*.f64 #s(literal -1/4 binary64) (PI.f64))) (*.f64 (*.f64 #s(literal -1/4 binary64) (PI.f64)) (log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (*.f64 f #s(literal 1/4 binary64)) (PI.f64)))))) (*.f64 (*.f64 #s(literal -1/4 binary64) (PI.f64)) (*.f64 #s(literal -1/4 binary64) (PI.f64))))
(neg.f64 (/.f64 (*.f64 (neg.f64 (log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64))))) (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (PI.f64))))
(*.f64 (*.f64 (log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (*.f64 f #s(literal 1/4 binary64)) (PI.f64)))) (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64)))) (/.f64 #s(literal 1 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 #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (*.f64 f #s(literal 1/4 binary64)) (PI.f64)))))
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (fma.f64 #s(approx (* (+ (* -2 (* (* (+ (PI) (PI)) 2) 1/192)) (* (+ (PI) (PI)) 1/16)) f) (*.f64 (*.f64 #s(literal 1/12 binary64) (PI.f64)) f)) f (/.f64 #s(literal 4 binary64) (PI.f64))) f)))))
(neg.f64 (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64))) (/.f64 (neg.f64 (sqrt.f64 (PI.f64))) (*.f64 (log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (*.f64 f #s(literal 1/4 binary64)) (PI.f64)))) #s(literal 4 binary64)))))
(neg.f64 (*.f64 (*.f64 (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64)))) (log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) 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 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) f))))))
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -2 binary64) (*.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) #s(literal 2 binary64)) #s(literal 1/192 binary64)) (*.f64 (+.f64 (PI.f64) (PI.f64)) #s(literal 1/16 binary64))) f) f (/.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 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -2 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (PI.f64) (PI.f64))) (*.f64 (+.f64 (PI.f64) (PI.f64)) #s(literal 1/16 binary64))) f) f (/.f64 #s(literal 4 binary64) (PI.f64))) f)))))
(/.f64 (log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/128 binary64) (*.f64 (PI.f64) (PI.f64))) (PI.f64) (fma.f64 #s(literal -1/768 binary64) (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64)) (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 #s(literal -1/32 binary64) (*.f64 (PI.f64) (PI.f64))) (PI.f64))))) f #s(literal 0 binary64)) f (*.f64 (PI.f64) #s(literal 1/4 binary64))) f))) (*.f64 #s(literal 1/4 binary64) (PI.f64)))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (*.f64 #s(literal -1/4 binary64) (PI.f64))) (*.f64 (*.f64 #s(literal -1/4 binary64) (PI.f64)) (log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (fma.f64 (*.f64 f f) (fma.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 #s(literal -1/32 binary64) (*.f64 (PI.f64) (PI.f64))) (PI.f64)) (*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64)) #s(literal -7/768 binary64))) (*.f64 (PI.f64) #s(literal 1/4 binary64))) f))))) (*.f64 (*.f64 #s(literal -1/4 binary64) (PI.f64)) (*.f64 #s(literal -1/4 binary64) (PI.f64))))
(neg.f64 (/.f64 (*.f64 (neg.f64 (log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (fma.f64 (*.f64 f f) (fma.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 #s(literal -1/32 binary64) (*.f64 (PI.f64) (PI.f64))) (PI.f64)) (*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64)) #s(literal -7/768 binary64))) (*.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 (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64)))) (log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -2 binary64) (*.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) #s(literal 2 binary64)) #s(literal 1/192 binary64)) (*.f64 (+.f64 (PI.f64) (PI.f64)) #s(literal 1/16 binary64))) f) f (/.f64 #s(literal 4 binary64) (PI.f64))) f)))))
(neg.f64 (/.f64 (*.f64 (neg.f64 (log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/128 binary64) (*.f64 (PI.f64) (PI.f64))) (PI.f64) (fma.f64 #s(literal -1/768 binary64) (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64)) (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 #s(literal -1/32 binary64) (*.f64 (PI.f64) (PI.f64))) (PI.f64))))) f #s(literal 0 binary64)) f (*.f64 (PI.f64) #s(literal 1/4 binary64))) f)))) (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (PI.f64))))
Outputs
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (fma.f64 #s(approx (* (+ (* -2 (* (* (+ (PI) (PI)) 2) 1/192)) (* (+ (PI) (PI)) 1/16)) f) (*.f64 (*.f64 #s(literal 1/12 binary64) (PI.f64)) f)) f (/.f64 #s(literal 4 binary64) (PI.f64))) f)))))
Calls

6 calls:

26.0ms
(*.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)))))))
8.0ms
(*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)
8.0ms
f
7.0ms
(/.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)))))
7.0ms
(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%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)
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))))))))
Compiler

Compiled 144 to 60 computations (58.3% saved)

regimes37.0ms (0.2%)

Memory
-19.0MiB live, 29.0MiB allocated
Counts
20 → 1
Calls
Call 1
Inputs
(*.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (*.f64 f #s(literal 1/4 binary64)) (PI.f64)))))
(/.f64 (log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64)))) (*.f64 #s(literal 1/4 binary64) (PI.f64)))
(*.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (neg.f64 (log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 #s(literal 4 binary64) (*.f64 (PI.f64) f))))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (*.f64 f #s(literal 1/4 binary64)) (PI.f64))))))
(neg.f64 (*.f64 #s(literal -4 binary64) (/.f64 (*.f64 (log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) f))) (PI.f64)) (*.f64 (PI.f64) (PI.f64)))))
(*.f64 (/.f64 #s(literal 16 binary64) (*.f64 (PI.f64) (PI.f64))) (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) f)))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/4 binary64) (/.f64 (log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (*.f64 f #s(literal 1/4 binary64)) (PI.f64)))) (PI.f64))))
(neg.f64 (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) (log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 #s(literal 4 binary64) (*.f64 (PI.f64) f)))))))
(/.f64 (/.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) f)))) (*.f64 (PI.f64) #s(literal 1/16 binary64))) (PI.f64))
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 #s(approx (* (/ (* (cosh (* f (* 1/4 (PI)))) 2) (- (exp (* (* f (PI)) 3/4)) (exp (neg (* (* f (PI)) 3/4))))) (+ (- (exp (neg (* (* f (PI)) 1/2))) -1) (exp (* (* f (PI)) 1/2)))) (/.f64 #s(literal 6 binary64) (*.f64 (*.f64 #s(literal 3/2 binary64) (PI.f64)) f))))))
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) f))))))
(*.f64 (/.f64 #s(literal 4 binary64) (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)))) (log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (*.f64 f #s(literal 1/4 binary64)) (PI.f64)))))
(/.f64 (log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64)))) (*.f64 #s(literal 1/4 binary64) (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)))))
(/.f64 (log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (fma.f64 #s(approx (+ (* (+ (* (* -1/128 (* (PI) (PI))) (PI)) (+ (* -1/768 (* (* (PI) (PI)) (PI))) (* -1/8 (* (* -1/32 (* (PI) (PI))) (PI))))) f) 0) (*.f64 (*.f64 #s(literal -1/192 binary64) (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64))) f)) f (*.f64 (PI.f64) #s(literal 1/4 binary64))) f))) (*.f64 #s(literal 1/4 binary64) (PI.f64)))
(*.f64 (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64))) (/.f64 (log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (*.f64 f #s(literal 1/4 binary64)) (PI.f64)))) (sqrt.f64 (PI.f64))))
(/.f64 (*.f64 (log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (*.f64 f #s(literal 1/4 binary64)) (PI.f64)))) (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (PI.f64)))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (*.f64 #s(literal -1/4 binary64) (PI.f64))) (*.f64 (*.f64 #s(literal -1/4 binary64) (PI.f64)) (log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (*.f64 f #s(literal 1/4 binary64)) (PI.f64)))))) (*.f64 (*.f64 #s(literal -1/4 binary64) (PI.f64)) (*.f64 #s(literal -1/4 binary64) (PI.f64))))
(neg.f64 (/.f64 (*.f64 (neg.f64 (log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64))))) (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (PI.f64))))
(*.f64 (*.f64 (log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (*.f64 f #s(literal 1/4 binary64)) (PI.f64)))) (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64)))) (/.f64 #s(literal 1 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 #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (*.f64 f #s(literal 1/4 binary64)) (PI.f64)))))
Outputs
(/.f64 (log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (fma.f64 #s(approx (+ (* (+ (* (* -1/128 (* (PI) (PI))) (PI)) (+ (* -1/768 (* (* (PI) (PI)) (PI))) (* -1/8 (* (* -1/32 (* (PI) (PI))) (PI))))) f) 0) (*.f64 (*.f64 #s(literal -1/192 binary64) (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64))) f)) f (*.f64 (PI.f64) #s(literal 1/4 binary64))) f))) (*.f64 #s(literal 1/4 binary64) (PI.f64)))
Calls

6 calls:

10.0ms
(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))))))
6.0ms
(*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)
6.0ms
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)))))))
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
96.7%1f
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%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)

regimes23.0ms (0.1%)

Memory
28.1MiB live, 28.1MiB allocated
Counts
13 → 1
Calls
Call 1
Inputs
(*.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (*.f64 f #s(literal 1/4 binary64)) (PI.f64)))))
(/.f64 (log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64)))) (*.f64 #s(literal 1/4 binary64) (PI.f64)))
(*.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (neg.f64 (log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 #s(literal 4 binary64) (*.f64 (PI.f64) f))))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (*.f64 f #s(literal 1/4 binary64)) (PI.f64))))))
(neg.f64 (*.f64 #s(literal -4 binary64) (/.f64 (*.f64 (log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) f))) (PI.f64)) (*.f64 (PI.f64) (PI.f64)))))
(*.f64 (/.f64 #s(literal 16 binary64) (*.f64 (PI.f64) (PI.f64))) (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) f)))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/4 binary64) (/.f64 (log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (*.f64 f #s(literal 1/4 binary64)) (PI.f64)))) (PI.f64))))
(neg.f64 (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) (log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 #s(literal 4 binary64) (*.f64 (PI.f64) f)))))))
(/.f64 (/.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) f)))) (*.f64 (PI.f64) #s(literal 1/16 binary64))) (PI.f64))
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 #s(approx (* (/ (* (cosh (* f (* 1/4 (PI)))) 2) (- (exp (* (* f (PI)) 3/4)) (exp (neg (* (* f (PI)) 3/4))))) (+ (- (exp (neg (* (* f (PI)) 1/2))) -1) (exp (* (* f (PI)) 1/2)))) (/.f64 #s(literal 6 binary64) (*.f64 (*.f64 #s(literal 3/2 binary64) (PI.f64)) f))))))
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) f))))))
(*.f64 (/.f64 #s(literal 4 binary64) (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)))) (log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (*.f64 f #s(literal 1/4 binary64)) (PI.f64)))))
(/.f64 (log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64)))) (*.f64 #s(literal 1/4 binary64) (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)))))
Outputs
(/.f64 (log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64)))) (*.f64 #s(literal 1/4 binary64) (PI.f64)))
Calls

6 calls:

4.0ms
(*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)
4.0ms
f
3.0ms
(*.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)))))))
3.0ms
(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))))))
3.0ms
(/.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
96.1%1f
96.1%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))))))))
96.1%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)))))))
96.1%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))))))
96.1%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)))))
96.1%1(*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)
Compiler

Compiled 144 to 60 computations (58.3% saved)

regimes31.0ms (0.2%)

Memory
-24.3MiB live, 13.8MiB 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 #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (*.f64 f #s(literal 1/4 binary64)) (PI.f64)))))
Outputs
(*.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (*.f64 f #s(literal 1/4 binary64)) (PI.f64)))))
Calls

6 calls:

25.0ms
(*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)
1.0ms
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
(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))))))))
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)))))
Results
AccuracySegmentsBranch
96.0%1f
96.0%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))))))))
96.0%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)))))))
96.0%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))))))
96.0%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)))))
96.0%1(*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)
Compiler

Compiled 144 to 60 computations (58.3% saved)

simplify9.0ms (0.1%)

Memory
11.9MiB live, 11.9MiB allocated
Algorithm
1×egg-herbie
Rules
48×*-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
085171
1108171
2121171
3134170
4146170
5174170
6212170
7215170
Stop Event
1×saturated
Calls
Call 1
Inputs
(/.f64 (log.f64 (tanh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64))))) (*.f64 #s(literal 1/4 binary64) (PI.f64)))
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (fma.f64 #s(approx (* (+ (* -2 (* (* (+ (PI) (PI)) 2) 1/192)) (* (+ (PI) (PI)) 1/16)) f) (*.f64 (*.f64 #s(literal 1/12 binary64) (PI.f64)) f)) f (/.f64 #s(literal 4 binary64) (PI.f64))) f)))))
(/.f64 (log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (fma.f64 #s(approx (+ (* (+ (* (* -1/128 (* (PI) (PI))) (PI)) (+ (* -1/768 (* (* (PI) (PI)) (PI))) (* -1/8 (* (* -1/32 (* (PI) (PI))) (PI))))) f) 0) (*.f64 (*.f64 #s(literal -1/192 binary64) (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64))) f)) f (*.f64 (PI.f64) #s(literal 1/4 binary64))) f))) (*.f64 #s(literal 1/4 binary64) (PI.f64)))
(/.f64 (log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64)))) (*.f64 #s(literal 1/4 binary64) (PI.f64)))
(*.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (*.f64 f #s(literal 1/4 binary64)) (PI.f64)))))
Outputs
(/.f64 (log.f64 (tanh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64))))) (*.f64 #s(literal 1/4 binary64) (PI.f64)))
(/.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (*.f64 (PI.f64) #s(literal 1/4 binary64)))
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (fma.f64 #s(approx (* (+ (* -2 (* (* (+ (PI) (PI)) 2) 1/192)) (* (+ (PI) (PI)) 1/16)) f) (*.f64 (*.f64 #s(literal 1/12 binary64) (PI.f64)) f)) f (/.f64 #s(literal 4 binary64) (PI.f64))) f)))))
(*.f64 (/.f64 #s(literal -1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (fma.f64 #s(approx (* (+ (* -2 (* (* (+ (PI) (PI)) 2) 1/192)) (* (+ (PI) (PI)) 1/16)) f) (*.f64 (*.f64 #s(literal 1/12 binary64) (PI.f64)) f)) f (/.f64 #s(literal 4 binary64) (PI.f64))) f))))
(/.f64 (log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (fma.f64 #s(approx (+ (* (+ (* (* -1/128 (* (PI) (PI))) (PI)) (+ (* -1/768 (* (* (PI) (PI)) (PI))) (* -1/8 (* (* -1/32 (* (PI) (PI))) (PI))))) f) 0) (*.f64 (*.f64 #s(literal -1/192 binary64) (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64))) f)) f (*.f64 (PI.f64) #s(literal 1/4 binary64))) f))) (*.f64 #s(literal 1/4 binary64) (PI.f64)))
(/.f64 (log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (fma.f64 #s(approx (+ (* (+ (* (* -1/128 (* (PI) (PI))) (PI)) (+ (* -1/768 (* (* (PI) (PI)) (PI))) (* -1/8 (* (* -1/32 (* (PI) (PI))) (PI))))) f) 0) (*.f64 (*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64)) #s(literal -1/192 binary64)) f)) f (*.f64 (PI.f64) #s(literal 1/4 binary64))) f))) (*.f64 (PI.f64) #s(literal 1/4 binary64)))
(/.f64 (log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64)))) (*.f64 #s(literal 1/4 binary64) (PI.f64)))
(/.f64 (log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64)))) (*.f64 (PI.f64) #s(literal 1/4 binary64)))
(*.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (*.f64 f #s(literal 1/4 binary64)) (PI.f64)))))
(*.f64 (log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (*.f64 #s(literal 1/4 binary64) f) (PI.f64)))) (/.f64 #s(literal 4 binary64) (PI.f64)))

soundness1.0s (6.6%)

Memory
-15.6MiB live, 619.3MiB allocated
Rules
20 306×lower-fma.f64
20 306×lower-fma.f32
15 882×lower-fma.f64
15 882×lower-fma.f32
12 380×lower-fma.f64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
02507660
18236255
234335590
080695412
02746750
18965886
238855099
084304932
052329
094290
1314253
21917251
08455248
016154
029100
111952
278352
0856152
06139893
119698102
087987822
01901850
15531668
221281484
090931459
Stop Event
1×fuel
1×iter limit
1×node limit
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×iter limit
1×node limit
1×iter limit
1×node limit
Compiler

Compiled 266 to 127 computations (52.3% saved)

preprocess41.0ms (0.3%)

Memory
26.0MiB live, 102.7MiB allocated
Compiler

Compiled 232 to 106 computations (54.3% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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