VandenBroeck and Keller, Equation (20)

Time bar (total: 17.7s)

start0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated

analyze211.0ms (1.2%)

Memory
12.3MiB live, 281.0MiB allocated
Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%100%0%0%0%0%0
0%0%100%0%0%0%0%1
0%0%100%0%0%0%0%2
0%0%75%0%0%25%0%3
0%0%62.5%0%0%37.5%0%4
0%0%56.2%0%0%43.7%0%5
0%0%53.1%0%0%46.9%0%6
3.1%1.6%48.4%0%0%50%0%7
4.8%2.3%46.1%0%0%51.5%0%8
5.6%2.7%45.7%0%0%51.5%0%9
6.5%3.1%45.1%0%0%51.7%0%10
6.9%3.3%44.8%0%0%51.8%0%11
6.9%3.3%44.8%0%0%51.9%0%12
Compiler

Compiled 39 to 18 computations (53.8% saved)

sample6.0s (33.7%)

Memory
103.2MiB live, 6 226.3MiB allocated
Samples
2.5s7 583×1valid
2.1s7 020×1invalid
154.0ms168×2valid
95.0ms505×0valid
1.0ms0exit
1.0ms0invalid
Precisions
Click to see histograms. Total time spent on operations: 4.2s
ival-exp: 1.2s (28.6% of total)
ival-div: 1.1s (24.9% of total)
ival-mult: 441.0ms (10.4% of total)
ival-log: 354.0ms (8.4% of total)
adjust: 345.0ms (8.1% of total)
ival-neg: 283.0ms (6.7% of total)
ival-pi: 221.0ms (5.2% of total)
ival-add: 152.0ms (3.6% of total)
ival-sub: 136.0ms (3.2% of total)
exact: 18.0ms (0.4% of total)
ival-true: 14.0ms (0.3% of total)
ival-assert: 7.0ms (0.2% of total)
Bogosity

explain480.0ms (2.7%)

Memory
23.5MiB live, 625.1MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
2460-0-(-.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))))
54(37363646.903094284)1(2.455132141477914)(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))))))
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)))))
20-1(91.67788780938277)(exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))
20-1(91.67788780938277)(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))))cancellation2460
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))))))sensitivity80
/.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 -
+2541
-01
Precision
1.0
Recall
0.996078431372549
Confusion?
Predicted +Predicted MaybePredicted -
+25401
-001
Precision?
1.0
Recall?
0.996078431372549
Freqs
test
numberfreq
02
1249
24
31
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
162.0ms476×1valid
8.0ms2valid
4.0ms28×0valid
Compiler

Compiled 434 to 52 computations (88% saved)

Precisions
Click to see histograms. Total time spent on operations: 141.0ms
ival-exp: 45.0ms (31.8% of total)
adjust: 25.0ms (17.7% of total)
ival-div: 19.0ms (13.4% of total)
ival-mult: 15.0ms (10.6% of total)
ival-log: 13.0ms (9.2% of total)
ival-neg: 8.0ms (5.7% of total)
ival-pi: 5.0ms (3.5% of total)
ival-sub: 5.0ms (3.5% of total)
ival-add: 5.0ms (3.5% of total)
ival-true: 1.0ms (0.7% of total)
exact: 1.0ms (0.7% of total)
ival-assert: 0.0ms (0% of total)

preprocess438.0ms (2.5%)

Memory
-9.8MiB live, 301.7MiB allocated
Algorithm
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
iter limit
node limit
iter limit
node limit
Calls
Call 1
Inputs
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))))))
Outputs
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))))))
(/.f64 (log.f64 (+.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (PI.f64) (*.f64 f #s(literal 1/2 binary64))))) (/.f64 #s(literal -1 binary64) (expm1.f64 (*.f64 (PI.f64) (*.f64 f #s(literal -1/2 binary64))))))) (*.f64 (PI.f64) #s(literal -1/4 binary64)))
Compiler

Compiled 38 to 16 computations (57.9% saved)

eval0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated
Compiler

Compiled 1 to 1 computations (0% saved)

prune1.0ms (0%)

Memory
1.3MiB live, 1.3MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
6.0%
(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))))))))
Compiler

Compiled 38 to 16 computations (57.9% saved)

simplify266.0ms (1.5%)

Memory
23.0MiB live, 250.3MiB allocated
Algorithm
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
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))))))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64)))
#s(literal 1 binary64)
(/.f64 (PI.f64) #s(literal 4 binary64))
(PI.f64)
#s(literal 4 binary64)
(log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))))
(/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))))
(+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))
(exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))
(*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)
f
(exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))
(neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))
(-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))
Outputs
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))))))
(/.f64 (log.f64 (+.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (PI.f64) (*.f64 f #s(literal 1/2 binary64))))) (/.f64 #s(literal -1 binary64) (expm1.f64 (*.f64 (PI.f64) (*.f64 f #s(literal -1/2 binary64))))))) (*.f64 (PI.f64) #s(literal -1/4 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))))))
(/.f64 (log.f64 (+.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (PI.f64) (*.f64 f #s(literal 1/2 binary64))))) (/.f64 #s(literal -1 binary64) (expm1.f64 (*.f64 (PI.f64) (*.f64 f #s(literal -1/2 binary64))))))) (*.f64 (PI.f64) #s(literal 1/4 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64)))
(/.f64 #s(literal 4 binary64) (PI.f64))
#s(literal 1 binary64)
(/.f64 (PI.f64) #s(literal 4 binary64))
(*.f64 (PI.f64) #s(literal 1/4 binary64))
(PI.f64)
#s(literal 4 binary64)
(log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))))
(log.f64 (+.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (PI.f64) (*.f64 f #s(literal 1/2 binary64))))) (/.f64 #s(literal -1 binary64) (expm1.f64 (*.f64 (PI.f64) (*.f64 f #s(literal -1/2 binary64)))))))
(/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))))
(+.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (PI.f64) (*.f64 f #s(literal 1/2 binary64))))) (/.f64 #s(literal -1 binary64) (expm1.f64 (*.f64 (PI.f64) (*.f64 f #s(literal -1/2 binary64))))))
(+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))
(+.f64 (exp.f64 (*.f64 (PI.f64) (*.f64 f #s(literal 1/4 binary64)))) (exp.f64 (*.f64 (PI.f64) (*.f64 f #s(literal -1/4 binary64)))))
(exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))
(exp.f64 (*.f64 (PI.f64) (*.f64 f #s(literal 1/4 binary64))))
(*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)
(*.f64 (PI.f64) (*.f64 f #s(literal 1/4 binary64)))
f
(exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))
(exp.f64 (*.f64 (PI.f64) (*.f64 f #s(literal -1/4 binary64))))
(neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))
(*.f64 (PI.f64) (*.f64 f #s(literal -1/4 binary64)))
(-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))
(-.f64 (exp.f64 (*.f64 (PI.f64) (*.f64 f #s(literal 1/4 binary64)))) (exp.f64 (*.f64 (PI.f64) (*.f64 f #s(literal -1/4 binary64)))))

localize131.0ms (0.7%)

Memory
-28.1MiB live, 143.2MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0.3828125
(*.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)))))))
accuracy0.8528101275112453
(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))))))
accuracy1.2500110042033008
(/.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)))))
accuracy57.15880816779158
(-.f64 (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
90.0ms238×1valid
4.0ms2valid
2.0ms14×0valid
Compiler

Compiled 198 to 18 computations (90.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 74.0ms
ival-exp: 23.0ms (31.1% of total)
ival-mult: 18.0ms (24.4% of total)
ival-div: 9.0ms (12.2% of total)
ival-log: 7.0ms (9.5% of total)
adjust: 5.0ms (6.8% of total)
ival-neg: 4.0ms (5.4% of total)
ival-pi: 2.0ms (2.7% of total)
ival-sub: 2.0ms (2.7% of total)
ival-add: 2.0ms (2.7% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series103.0ms (0.6%)

Memory
16.7MiB live, 134.6MiB allocated
Counts
7 → 60
Calls
Call 1
Inputs
#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>) () ())
#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
#s(alt (/ 2 (* f (- (* 1/4 (PI)) (* -1/4 (PI))))) (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>) () ())) ())
#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>) () ())) ())
#s(alt (/ (+ (* f (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (+ (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* f (- (* 1/16 (/ (pow (PI) 2) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 2 (/ (- (* 1/384 (pow (PI) 3)) (* -1/384 (pow (PI) 3))) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 2)))))))) (* 2 (/ 1 (- (* 1/4 (PI)) (* -1/4 (PI)))))) f) (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>) () ())) ())
#s(alt (/ (+ (* f (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (+ (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* f (- (+ (* 1/16 (/ (pow (PI) 2) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* f (- (+ (* -1/384 (/ (pow (PI) 3) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/384 (/ (pow (PI) 3) (- (* 1/4 (PI)) (* -1/4 (PI)))))) (/ (* (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI)))))) (- (* 1/384 (pow (PI) 3)) (* -1/384 (pow (PI) 3)))) (- (* 1/4 (PI)) (* -1/4 (PI))))))) (* 2 (/ (- (* 1/384 (pow (PI) 3)) (* -1/384 (pow (PI) 3))) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 2)))))))) (* 2 (/ 1 (- (* 1/4 (PI)) (* -1/4 (PI)))))) f) (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>) () ())) ())
#s(alt (/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI))))))) (taylor inf 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>) () ())) ())
#s(alt (/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI))))))) (taylor inf 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>) () ())) ())
#s(alt (/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI))))))) (taylor inf 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>) () ())) ())
#s(alt (/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI))))))) (taylor inf 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>) () ())) ())
#s(alt (/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI))))))) (taylor -inf 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>) () ())) ())
#s(alt (/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI))))))) (taylor -inf 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>) () ())) ())
#s(alt (/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI))))))) (taylor -inf 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>) () ())) ())
#s(alt (/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI))))))) (taylor -inf 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

15 calls:

TimeVariablePointExpression
49.0ms
f
@inf
(neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))))))
41.0ms
f
@-inf
(neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))))))
3.0ms
f
@0
(neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))))))
1.0ms
f
@0
(/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))
1.0ms
f
@-inf
(/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))

simplify208.0ms (1.2%)

Memory
-12.8MiB live, 264.1MiB allocated
Algorithm
egg-herbie
Rules
7 296×lower-fma.f64
7 296×lower-fma.f32
3 266×lower-*.f64
3 266×lower-*.f32
1 520×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

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

rewrite298.0ms (1.7%)

Memory
31.3MiB live, 346.6MiB 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
iter limit
node limit
iter limit
Counts
7 → 561
Calls
Call 1
Inputs
(/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))))
(/.f64 (PI.f64) #s(literal 4 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64)))
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))))))
(-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))
(log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))))))
Outputs
(+.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (sinh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (exp.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (*.f64 (/.f64 #s(literal 1/2 binary64) (sinh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (exp.f64 (*.f64 f (*.f64 (PI.f64) #s(literal -1/4 binary64))))))
(+.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (sinh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (exp.f64 (*.f64 f (*.f64 (PI.f64) #s(literal -1/4 binary64))))) (*.f64 (/.f64 #s(literal 1/2 binary64) (sinh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (exp.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))))
(+.f64 (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (-.f64 (exp.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 3/4 binary64))) (exp.f64 (neg.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 3/4 binary64)))))) (exp.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/2 binary64)))) (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (-.f64 (exp.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 3/4 binary64))) (exp.f64 (neg.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 3/4 binary64)))))) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/2 binary64)))))))
(+.f64 (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (-.f64 (exp.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 3/4 binary64))) (exp.f64 (neg.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 3/4 binary64)))))) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/2 binary64)))))) (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (-.f64 (exp.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 3/4 binary64))) (exp.f64 (neg.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 3/4 binary64)))))) (exp.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/2 binary64)))))
(+.f64 (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (-.f64 (exp.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 3/4 binary64))) (exp.f64 (neg.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 3/4 binary64)))))) (+.f64 (exp.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/2 binary64))) (exp.f64 (neg.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/2 binary64)))))) (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (-.f64 (exp.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 3/4 binary64))) (exp.f64 (neg.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 3/4 binary64)))))) #s(literal 1 binary64)))
(+.f64 (*.f64 (exp.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)) (/.f64 #s(literal 1/2 binary64) (sinh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))) (*.f64 (exp.f64 (*.f64 f (*.f64 (PI.f64) #s(literal -1/4 binary64)))) (/.f64 #s(literal 1/2 binary64) (sinh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))))
(+.f64 (*.f64 (exp.f64 (*.f64 f (*.f64 (PI.f64) #s(literal -1/4 binary64)))) (/.f64 #s(literal 1/2 binary64) (sinh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))) (*.f64 (exp.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)) (/.f64 #s(literal 1/2 binary64) (sinh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))))
(+.f64 (*.f64 (exp.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/2 binary64))) (/.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (-.f64 (exp.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 3/4 binary64))) (exp.f64 (neg.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 3/4 binary64))))))) (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/2 binary64))))) (/.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (-.f64 (exp.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 3/4 binary64))) (exp.f64 (neg.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 3/4 binary64))))))))
(+.f64 (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/2 binary64))))) (/.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (-.f64 (exp.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 3/4 binary64))) (exp.f64 (neg.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 3/4 binary64))))))) (*.f64 (exp.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/2 binary64))) (/.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (-.f64 (exp.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 3/4 binary64))) (exp.f64 (neg.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 3/4 binary64))))))))
(+.f64 (*.f64 (+.f64 (exp.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/2 binary64))) (exp.f64 (neg.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/2 binary64))))) (/.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (-.f64 (exp.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 3/4 binary64))) (exp.f64 (neg.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 3/4 binary64))))))) (*.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (-.f64 (exp.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 3/4 binary64))) (exp.f64 (neg.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 3/4 binary64))))))))
(exp.f64 (*.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))))
(-.f64 (/.f64 (/.f64 (exp.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/2 binary64))) (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))) (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))) (/.f64 (/.f64 (exp.f64 (neg.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/2 binary64)))) (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))) (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))))
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(*.f64 #s(literal 1 binary64) (/.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (*.f64 (PI.f64) #s(literal -1/4 binary64))))
(*.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (neg.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))))
(*.f64 (neg.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))) (/.f64 #s(literal 4 binary64) (PI.f64)))
(*.f64 (/.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (*.f64 (PI.f64) #s(literal -1/4 binary64))) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (*.f64 (PI.f64) #s(literal 1/4 binary64))))
(*.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (/.f64 #s(literal -4 binary64) (PI.f64)))
(*.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) (*.f64 (neg.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))) #s(literal 4 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) (neg.f64 (*.f64 #s(literal 4 binary64) (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))))))
(*.f64 (*.f64 (neg.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))) #s(literal 4 binary64)) (/.f64 #s(literal 1 binary64) (PI.f64)))
(*.f64 (pow.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) #s(literal -1/2 binary64)) (*.f64 (pow.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) #s(literal -1/2 binary64)) (neg.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))))))
(*.f64 (/.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (neg.f64 (PI.f64))) #s(literal 4 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (PI.f64) #s(literal 2/3 binary64))) (/.f64 (neg.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))) (*.f64 (cbrt.f64 (PI.f64)) #s(literal 1/4 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64))) (/.f64 (neg.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))) (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/4 binary64))))
(*.f64 (/.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (PI.f64)) #s(literal -4 binary64))
(*.f64 (/.f64 #s(literal -1 binary64) (PI.f64)) (*.f64 #s(literal 4 binary64) (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))))
(*.f64 (/.f64 #s(literal -1 binary64) (PI.f64)) (/.f64 (neg.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))) #s(literal -1/4 binary64)))
(*.f64 (/.f64 (neg.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))) (pow.f64 (PI.f64) #s(literal 2/3 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 (cbrt.f64 (PI.f64)) #s(literal 1/4 binary64))))
(*.f64 (/.f64 (neg.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))) (sqrt.f64 (PI.f64))) (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64))))
(*.f64 (/.f64 (neg.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))) #s(literal -1 binary64)) (/.f64 #s(literal -4 binary64) (PI.f64)))
(*.f64 (*.f64 (neg.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))) (pow.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) #s(literal -1/2 binary64))) (pow.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) #s(literal -1/2 binary64)))

eval356.0ms (2%)

Memory
-10.8MiB live, 211.3MiB allocated
Compiler

Compiled 32 226 to 3 625 computations (88.8% saved)

prune526.0ms (3%)

Memory
-3.7MiB live, 265.4MiB allocated
Pruning

19 alts after pruning (19 fresh and 0 done)

PrunedKeptTotal
New76619785
Fresh000
Picked101
Done000
Total76719786
Accuracy
98.8%
Counts
786 → 19
Alt Table
Click to see full alt table
StatusAccuracyProgram
96.3%
(fma.f64 (/.f64 #s(literal -4 binary64) (PI.f64)) (log.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))) (*.f64 (/.f64 #s(literal -4 binary64) (PI.f64)) (neg.f64 (log.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))))))
98.2%
(/.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (*.f64 (PI.f64) #s(literal 1/4 binary64)))
98.1%
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))))
98.1%
(*.f64 (pow.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) #s(literal -1/2 binary64)) (*.f64 (pow.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) #s(literal -1/2 binary64)) (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))))
96.3%
(*.f64 (neg.f64 (pow.f64 (/.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (*.f64 (PI.f64) #s(literal -1/4 binary64))) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (/.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (*.f64 (PI.f64) #s(literal -1/4 binary64))) #s(literal 2 binary64)) #s(literal 0 binary64))))
96.2%
(*.f64 (neg.f64 (pow.f64 (/.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (*.f64 (PI.f64) #s(literal -1/4 binary64))) #s(literal 2 binary64))) (/.f64 (*.f64 (PI.f64) #s(literal -1/4 binary64)) (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))))
96.1%
(neg.f64 (/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) (-.f64 (pow.f64 (log.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))) #s(literal 3 binary64)) (pow.f64 (log.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))) #s(literal 3 binary64)))) (*.f64 #s(literal 1/4 binary64) (+.f64 (pow.f64 (log.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))) #s(literal 2 binary64)) (*.f64 (log.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))) (+.f64 (log.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))) (log.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))))))))))
98.0%
(neg.f64 (/.f64 (*.f64 (neg.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))) (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (PI.f64))))
98.1%
(neg.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/4 binary64) (/.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (neg.f64 (PI.f64))))))
97.9%
(neg.f64 (*.f64 (/.f64 (neg.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))) (sqrt.f64 (PI.f64))) (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64)))))
96.3%
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (/.f64 (-.f64 (pow.f64 (log.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))) #s(literal 2 binary64)) (*.f64 (neg.f64 (log.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))))) (neg.f64 (log.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))))))) (-.f64 (log.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))) (neg.f64 (log.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))))))))
96.5%
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (-.f64 (log.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))) (log.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))))))
96.5%
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (+.f64 (log.f64 #s(literal 2 binary64)) (-.f64 (log.f64 (cosh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (log.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))))))))
98.1%
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 #s(literal 1 binary64) (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))))))
95.9%
(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 f (*.f64 f (fma.f64 (*.f64 #s(literal 1/192 binary64) (*.f64 #s(literal 2 binary64) (+.f64 (PI.f64) (PI.f64)))) #s(literal -2 binary64) (*.f64 #s(literal 1/16 binary64) (+.f64 (PI.f64) (PI.f64))))) (/.f64 #s(literal 4 binary64) (PI.f64))) f)))))
95.6%
(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 (+.f64 #s(literal 0 binary64) (/.f64 #s(literal 4 binary64) (PI.f64))) f)))))
95.6%
(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 f (*.f64 (PI.f64) #s(literal 1/2 binary64))))))))
6.0%
(neg.f64 (*.f64 (*.f64 (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.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))))))))
95.7%
#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 1 030 to 606 computations (41.2% saved)

simplify266.0ms (1.5%)

Memory
-13.3MiB live, 211.9MiB allocated
Algorithm
egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(/.f64 (PI.f64) #s(literal 4 binary64))
cost-diff0
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (+.f64 (log.f64 #s(literal 2 binary64)) (-.f64 (log.f64 (cosh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (log.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))))))
cost-diff128
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (+.f64 (log.f64 #s(literal 2 binary64)) (-.f64 (log.f64 (cosh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (log.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))))))))
cost-diff704
(/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64)))
cost-diff0
(neg.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))))
cost-diff128
(*.f64 (neg.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))) (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64))))
cost-diff128
(neg.f64 (/.f64 (*.f64 (neg.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))) (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (PI.f64))))
cost-diff1984
(/.f64 (*.f64 (neg.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))) (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (PI.f64)))
cost-diff0
(PI.f64)
cost-diff0
(*.f64 (PI.f64) #s(literal 1/4 binary64))
cost-diff0
(/.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))))
cost-diff704
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))))
cost-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 f (*.f64 (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 #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 f (*.f64 (PI.f64) #s(literal 1/2 binary64))))))))
cost-diff320
(/.f64 #s(literal 2 binary64) (*.f64 f (*.f64 (PI.f64) #s(literal 1/2 binary64))))
cost-diff704
(/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64)))
cost-diff0
(*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)
cost-diff0
(tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))
cost-diff0
(log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))
cost-diff0
(/.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (*.f64 (PI.f64) #s(literal 1/4 binary64)))
Rules
6 000×lower-fma.f64
6 000×lower-fma.f32
3 042×lower-*.f32
3 026×lower-*.f64
1 936×lower-/.f32
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
048512
080504
1179482
2500466
31454466
44301446
57256446
08164446
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(/.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (*.f64 (PI.f64) #s(literal 1/4 binary64)))
(log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))
(tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))
(*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)
(*.f64 (PI.f64) #s(literal 1/4 binary64))
(PI.f64)
#s(literal 1/4 binary64)
f
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 #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 f (*.f64 (PI.f64) #s(literal 1/2 binary64))))))))
(*.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 f (*.f64 (PI.f64) #s(literal 1/2 binary64)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64)))
#s(literal 1 binary64)
(/.f64 (PI.f64) #s(literal 4 binary64))
(PI.f64)
#s(literal 4 binary64)
(log.f64 #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 f (*.f64 (PI.f64) #s(literal 1/2 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 f (*.f64 (PI.f64) #s(literal 1/2 binary64)))))
(/.f64 #s(literal 2 binary64) (*.f64 f (*.f64 (PI.f64) #s(literal 1/2 binary64))))
#s(literal 2 binary64)
(*.f64 f (*.f64 (PI.f64) #s(literal 1/2 binary64)))
f
(*.f64 (PI.f64) #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))))
#s(literal 1 binary64)
(/.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))))
(*.f64 (PI.f64) #s(literal 1/4 binary64))
(PI.f64)
#s(literal 1/4 binary64)
(log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))
(tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))
(*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)
f
(neg.f64 (/.f64 (*.f64 (neg.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))) (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (PI.f64))))
(/.f64 (*.f64 (neg.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))) (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (PI.f64)))
(*.f64 (neg.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))) (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64))))
(neg.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))))
(log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))
(tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))
(*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)
(*.f64 (PI.f64) #s(literal 1/4 binary64))
(PI.f64)
#s(literal 1/4 binary64)
f
(/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64)))
#s(literal 4 binary64)
(sqrt.f64 (PI.f64))
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (+.f64 (log.f64 #s(literal 2 binary64)) (-.f64 (log.f64 (cosh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (log.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))))))))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (+.f64 (log.f64 #s(literal 2 binary64)) (-.f64 (log.f64 (cosh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (log.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64)))
#s(literal 1 binary64)
(/.f64 (PI.f64) #s(literal 4 binary64))
(PI.f64)
#s(literal 4 binary64)
(+.f64 (log.f64 #s(literal 2 binary64)) (-.f64 (log.f64 (cosh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (log.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))))))
(log.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
(-.f64 (log.f64 (cosh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (log.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))))
(log.f64 (cosh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))
(cosh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))
(*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)
(*.f64 (PI.f64) #s(literal 1/4 binary64))
#s(literal 1/4 binary64)
f
(log.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))))
(*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))
(sinh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))
Outputs
(/.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (*.f64 (PI.f64) #s(literal 1/4 binary64)))
(log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))
(tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))
(*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)
(*.f64 (PI.f64) #s(literal 1/4 binary64))
(PI.f64)
#s(literal 1/4 binary64)
f
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 #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 f (*.f64 (PI.f64) #s(literal 1/2 binary64))))))))
(/.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 (PI.f64) #s(literal -1/4 binary64)))
(*.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 f (*.f64 (PI.f64) #s(literal 1/2 binary64)))))))
(/.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 (PI.f64) #s(literal 1/4 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64)))
(/.f64 #s(literal 4 binary64) (PI.f64))
#s(literal 1 binary64)
(/.f64 (PI.f64) #s(literal 4 binary64))
(PI.f64)
#s(literal 4 binary64)
(log.f64 #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 f (*.f64 (PI.f64) #s(literal 1/2 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))))
#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 f (*.f64 (PI.f64) #s(literal 1/2 binary64)))))
#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 f (*.f64 (PI.f64) #s(literal 1/2 binary64))))
(/.f64 #s(literal 4 binary64) (*.f64 (PI.f64) f))
#s(literal 2 binary64)
(*.f64 f (*.f64 (PI.f64) #s(literal 1/2 binary64)))
f
(*.f64 (PI.f64) #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))))
(/.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (*.f64 (PI.f64) #s(literal 1/4 binary64)))
#s(literal 1 binary64)
(/.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))))
(*.f64 (PI.f64) #s(literal 1/4 binary64))
(PI.f64)
#s(literal 1/4 binary64)
(log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))
(tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))
(*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)
f
(neg.f64 (/.f64 (*.f64 (neg.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))) (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (PI.f64))))
(/.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (*.f64 (PI.f64) #s(literal 1/4 binary64)))
(/.f64 (*.f64 (neg.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))) (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (PI.f64)))
(/.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (*.f64 (PI.f64) #s(literal -1/4 binary64)))
(*.f64 (neg.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))) (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64))))
(*.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (/.f64 #s(literal -4 binary64) (sqrt.f64 (PI.f64))))
(neg.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))))
(log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))
(tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))
(*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)
(*.f64 (PI.f64) #s(literal 1/4 binary64))
(PI.f64)
#s(literal 1/4 binary64)
f
(/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64)))
#s(literal 4 binary64)
(sqrt.f64 (PI.f64))
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (+.f64 (log.f64 #s(literal 2 binary64)) (-.f64 (log.f64 (cosh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (log.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))))))))
(/.f64 (-.f64 (+.f64 (log.f64 #s(literal 2 binary64)) (log.f64 (cosh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))) (log.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))))) (*.f64 (PI.f64) #s(literal -1/4 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (+.f64 (log.f64 #s(literal 2 binary64)) (-.f64 (log.f64 (cosh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (log.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))))))
(/.f64 (-.f64 (+.f64 (log.f64 #s(literal 2 binary64)) (log.f64 (cosh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))) (log.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))))) (*.f64 (PI.f64) #s(literal 1/4 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64)))
(/.f64 #s(literal 4 binary64) (PI.f64))
#s(literal 1 binary64)
(/.f64 (PI.f64) #s(literal 4 binary64))
(PI.f64)
#s(literal 4 binary64)
(+.f64 (log.f64 #s(literal 2 binary64)) (-.f64 (log.f64 (cosh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (log.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))))))
(-.f64 (+.f64 (log.f64 #s(literal 2 binary64)) (log.f64 (cosh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))) (log.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))))
(log.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
(-.f64 (log.f64 (cosh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (log.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))))
(log.f64 (cosh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))
(cosh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))
(*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)
(*.f64 (PI.f64) #s(literal 1/4 binary64))
#s(literal 1/4 binary64)
f
(log.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))))
(*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))
(sinh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))

localize659.0ms (3.7%)

Memory
55.1MiB live, 876.2MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0.3828125
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (+.f64 (log.f64 #s(literal 2 binary64)) (-.f64 (log.f64 (cosh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (log.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))))))
accuracy0.9687264153926188
(PI.f64)
accuracy1.0257289002350558
(+.f64 (log.f64 #s(literal 2 binary64)) (-.f64 (log.f64 (cosh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (log.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))))))
accuracy30.05810034412798
(log.f64 (cosh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))
accuracy0.30859375
(/.f64 (*.f64 (neg.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))) (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (PI.f64)))
accuracy0.8447057462687569
(log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))
accuracy0.9687264153926188
(PI.f64)
accuracy0.984375
(sqrt.f64 (PI.f64))
accuracy0.24609375
(*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)
accuracy0.2734375
(/.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))))
accuracy0.8447057462687569
(log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))
accuracy0.9687264153926188
(PI.f64)
accuracy0.3828125
(*.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 f (*.f64 (PI.f64) #s(literal 1/2 binary64)))))))
accuracy0.8528101275112453
(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 f (*.f64 (PI.f64) #s(literal 1/2 binary64))))))
accuracy0.9687264153926188
(PI.f64)
accuracy1.341688860522509
#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 f (*.f64 (PI.f64) #s(literal 1/2 binary64)))))
accuracy0.24609375
(*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)
accuracy0.3125
(/.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (*.f64 (PI.f64) #s(literal 1/4 binary64)))
accuracy0.8447057462687569
(log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))
accuracy0.9687264153926188
(PI.f64)
Samples
258.0ms159×2valid
124.0ms88×1valid
77.0ms5exit
2.0ms0valid
Compiler

Compiled 482 to 47 computations (90.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 371.0ms
ival-log: 128.0ms (34.5% of total)
ival-add: 38.0ms (10.2% of total)
ival-mult: 35.0ms (9.4% of total)
adjust: 34.0ms (9.2% of total)
ival-div: 31.0ms (8.4% of total)
ival-tanh: 26.0ms (7% of total)
ival-exp: 23.0ms (6.2% of total)
ival-cosh: 17.0ms (4.6% of total)
ival-neg: 12.0ms (3.2% of total)
ival-sinh: 11.0ms (3% of total)
ival-sub: 7.0ms (1.9% of total)
ival-sqrt: 4.0ms (1.1% of total)
ival-pi: 3.0ms (0.8% of total)
exact: 1.0ms (0.3% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series356.0ms (2%)

Memory
-26.2MiB live, 487.3MiB allocated
Counts
24 → 228
Calls
Call 1
Inputs
#s(alt (/.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (*.f64 (PI.f64) #s(literal 1/4 binary64))) (patch (/.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (*.f64 (PI.f64) #s(literal 1/4 binary64))) #<representation binary64>) () ())
#s(alt (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (patch (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) #<representation binary64>) () ())
#s(alt (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)) (patch (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f) (patch (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f) #<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 f (*.f64 (PI.f64) #s(literal 1/2 binary64)))) (patch (/.f64 #s(literal 2 binary64) (*.f64 f (*.f64 (PI.f64) #s(literal 1/2 binary64)))) #<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 f (*.f64 (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 #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 f (*.f64 (PI.f64) #s(literal 1/2 binary64)))))))) #<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 f (*.f64 (PI.f64) #s(literal 1/2 binary64))))))) (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 f (*.f64 (PI.f64) #s(literal 1/2 binary64))))))) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))))) (patch (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))))) #<representation binary64>) () ())
#s(alt (/.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))) (patch (/.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))) #<representation binary64>) () ())
#s(alt (*.f64 (PI.f64) #s(literal 1/4 binary64)) (patch (*.f64 (PI.f64) #s(literal 1/4 binary64)) #<representation binary64>) () ())
#s(alt (PI.f64) (patch (PI.f64) #<representation binary64>) () ())
#s(alt (/.f64 (*.f64 (neg.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))) (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (PI.f64))) (patch (/.f64 (*.f64 (neg.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))) (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (PI.f64))) #<representation binary64>) () ())
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Outputs
#s(alt (* 4 (/ (+ (log f) (log (* 1/4 (PI)))) (PI))) (taylor 0 f) (#s(alt (/.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (*.f64 (PI.f64) #s(literal 1/4 binary64))) (patch (/.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (*.f64 (PI.f64) #s(literal 1/4 binary64))) #<representation binary64>) () ())) ())
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#s(alt (* 4 (/ (log (/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))) (PI))) (taylor inf f) (#s(alt (/.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (*.f64 (PI.f64) #s(literal 1/4 binary64))) (patch (/.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (*.f64 (PI.f64) #s(literal 1/4 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 4 (/ (log (/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))) (PI))) (taylor inf f) (#s(alt (/.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (*.f64 (PI.f64) #s(literal 1/4 binary64))) (patch (/.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (*.f64 (PI.f64) #s(literal 1/4 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 4 (/ (log (/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))) (PI))) (taylor inf f) (#s(alt (/.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (*.f64 (PI.f64) #s(literal 1/4 binary64))) (patch (/.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (*.f64 (PI.f64) #s(literal 1/4 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 4 (/ (log (/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))) (PI))) (taylor -inf f) (#s(alt (/.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (*.f64 (PI.f64) #s(literal 1/4 binary64))) (patch (/.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (*.f64 (PI.f64) #s(literal 1/4 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 4 (/ (log (/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))) (PI))) (taylor -inf f) (#s(alt (/.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (*.f64 (PI.f64) #s(literal 1/4 binary64))) (patch (/.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (*.f64 (PI.f64) #s(literal 1/4 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 4 (/ (log (/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))) (PI))) (taylor -inf f) (#s(alt (/.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (*.f64 (PI.f64) #s(literal 1/4 binary64))) (patch (/.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (*.f64 (PI.f64) #s(literal 1/4 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 4 (/ (log (/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))) (PI))) (taylor -inf f) (#s(alt (/.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (*.f64 (PI.f64) #s(literal 1/4 binary64))) (patch (/.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (*.f64 (PI.f64) #s(literal 1/4 binary64))) #<representation binary64>) () ())) ())
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#s(alt (+ (log f) (+ (log (* 1/4 (PI))) (* f (+ (* 2 (/ (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) (PI))) (* f (+ (* 1/6 (* f (+ (* -48 (/ (* (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) (- (* 1/2 (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (+ (* -1/128 (pow (PI) 3)) (* 1/192 (pow (PI) 3))))) (* 1/128 (pow (PI) 3)))) (pow (PI) 2))) (+ (* 16 (/ (pow (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) 3) (pow (PI) 3))) (* 24 (/ (- (* 1/2 (+ (* -1/4 (* (PI) (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (+ (* -1/128 (pow (PI) 3)) (* 1/384 (pow (PI) 3)))))) (+ (* -1/32 (* (pow (PI) 2) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (+ (* -1/1536 (pow (PI) 4)) (* 1/3072 (pow (PI) 4)))))) (+ (* -1/8 (* (PI) (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (* -1/128 (pow (PI) 3))))) (* 1/64 (* (pow (PI) 2) (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))))))) (PI))))))) (* 1/2 (+ (* -4 (/ (pow (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) 2) (pow (PI) 2))) (* 8 (/ (- (* 1/2 (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (+ (* -1/128 (pow (PI) 3)) (* 1/192 (pow (PI) 3))))) (* 1/128 (pow (PI) 3))) (PI))))))))))) (taylor 0 f) (#s(alt (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (patch (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) #<representation binary64>) () ())) ())
#s(alt (log (/ (- (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 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (patch (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) #<representation binary64>) () ())) ())
#s(alt (log (/ (- (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 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (patch (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) #<representation binary64>) () ())) ())
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#s(alt (log (/ (- (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 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (patch (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) #<representation binary64>) () ())) ())
#s(alt (log (/ (- (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 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (patch (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) #<representation binary64>) () ())) ())
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Calls

57 calls:

TimeVariablePointExpression
116.0ms
f
@-inf
(neg (* (/ 1 (/ (PI) 4)) (+ (log 2) (- (log (cosh (* (* (PI) 1/4) f))) (log (* 2 (sinh (* (* (PI) 1/4) f))))))))
86.0ms
f
@-inf
(/ (log (tanh (* (* (PI) 1/4) f))) (* (PI) 1/4))
60.0ms
f
@inf
(neg (* (/ 1 (/ (PI) 4)) (+ (log 2) (- (log (cosh (* (* (PI) 1/4) f))) (log (* 2 (sinh (* (* (PI) 1/4) f))))))))
39.0ms
f
@inf
(/ (log (tanh (* (* (PI) 1/4) f))) (* (PI) 1/4))
7.0ms
f
@0
(/ (log (tanh (* (* (PI) 1/4) f))) (* (PI) 1/4))

simplify289.0ms (1.6%)

Memory
20.0MiB live, 384.1MiB allocated
Algorithm
egg-herbie
Rules
11 044×lower-fma.f64
11 044×lower-fma.f32
6 188×lower-*.f64
6 188×lower-*.f32
2 896×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
05379446
118198072
080907767
Stop Event
iter limit
node limit
Counts
228 → 228
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 (/ (log (/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))) (PI)))
(* 4 (/ (log (/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))) (PI)))
(* 4 (/ (log (/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))) (PI)))
(* 4 (/ (log (/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))) (PI)))
(* 4 (/ (log (/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))) (PI)))
(* 4 (/ (log (/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))) (PI)))
(* 4 (/ (log (/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))) (PI)))
(* 4 (/ (log (/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))) (PI)))
(+ (log f) (log (* 1/4 (PI))))
(+ (log f) (+ (log (* 1/4 (PI))) (* 2 (/ (* f (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2)))) (PI)))))
(+ (log f) (+ (log (* 1/4 (PI))) (* f (+ (* 1/2 (* f (+ (* -4 (/ (pow (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) 2) (pow (PI) 2))) (* 8 (/ (- (* 1/2 (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (+ (* -1/128 (pow (PI) 3)) (* 1/192 (pow (PI) 3))))) (* 1/128 (pow (PI) 3))) (PI)))))) (* 2 (/ (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) (PI)))))))
(+ (log f) (+ (log (* 1/4 (PI))) (* f (+ (* 2 (/ (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) (PI))) (* f (+ (* 1/6 (* f (+ (* -48 (/ (* (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) (- (* 1/2 (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (+ (* -1/128 (pow (PI) 3)) (* 1/192 (pow (PI) 3))))) (* 1/128 (pow (PI) 3)))) (pow (PI) 2))) (+ (* 16 (/ (pow (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) 3) (pow (PI) 3))) (* 24 (/ (- (* 1/2 (+ (* -1/4 (* (PI) (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (+ (* -1/128 (pow (PI) 3)) (* 1/384 (pow (PI) 3)))))) (+ (* -1/32 (* (pow (PI) 2) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (+ (* -1/1536 (pow (PI) 4)) (* 1/3072 (pow (PI) 4)))))) (+ (* -1/8 (* (PI) (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (* -1/128 (pow (PI) 3))))) (* 1/64 (* (pow (PI) 2) (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))))))) (PI))))))) (* 1/2 (+ (* -4 (/ (pow (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) 2) (pow (PI) 2))) (* 8 (/ (- (* 1/2 (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (+ (* -1/128 (pow (PI) 3)) (* 1/192 (pow (PI) 3))))) (* 1/128 (pow (PI) 3))) (PI)))))))))))
(log (/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI))))))))
(log (/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI))))))))
(log (/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI))))))))
(log (/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI))))))))
(log (/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI))))))))
(log (/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI))))))))
(log (/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI))))))))
(log (/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI))))))))
(* 1/4 (* f (PI)))
(* f (+ (* 1/4 (PI)) (* 1/2 (* f (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2)))))))
(* f (+ (* 1/4 (PI)) (* f (+ (* 1/2 (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2)))) (* f (- (* 1/2 (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (+ (* -1/128 (pow (PI) 3)) (* 1/192 (pow (PI) 3))))) (* 1/128 (pow (PI) 3))))))))
(* f (+ (* 1/4 (PI)) (* f (+ (* 1/2 (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2)))) (* f (- (+ (* 1/2 (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (+ (* -1/128 (pow (PI) 3)) (* 1/192 (pow (PI) 3))))) (* f (- (* 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))))))))) (* 1/128 (pow (PI) 3))))))))
(/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))
(/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))
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(/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))
(* 1/4 (* f (PI)))
(* 1/4 (* f (PI)))
(* 1/4 (* f (PI)))
(* 1/4 (* f (PI)))
(* 1/4 (* f (PI)))
(* 1/4 (* f (PI)))
(* 1/4 (* f (PI)))
(* 1/4 (* f (PI)))
(* 1/4 (* f (PI)))
(* 1/4 (* f (PI)))
(* 1/4 (* f (PI)))
(* 1/4 (* f (PI)))
(/ 4 (* f (PI)))
(/ 4 (* f (PI)))
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(/ 4 (* f (PI)))
(/ 4 (* f (PI)))
(/ 4 (* f (PI)))
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rewrite351.0ms (2%)

Memory
18.0MiB live, 486.1MiB allocated
Rules
4 254×lower-/.f32
4 238×lower-/.f64
3 956×lower-*.f32
3 940×lower-*.f64
2 588×lower-fma.f64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
048372
080242
1311225
22079225
08696225
Stop Event
iter limit
node limit
iter limit
Counts
24 → 1 705
Calls
Call 1
Inputs
(/.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (*.f64 (PI.f64) #s(literal 1/4 binary64)))
(log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))
(tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))
(*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)
(/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64)))
(/.f64 #s(literal 2 binary64) (*.f64 f (*.f64 (PI.f64) #s(literal 1/2 binary64))))
(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 f (*.f64 (PI.f64) #s(literal 1/2 binary64))))))))
(*.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 f (*.f64 (PI.f64) #s(literal 1/2 binary64)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))))
(/.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))))
(*.f64 (PI.f64) #s(literal 1/4 binary64))
(PI.f64)
(/.f64 (*.f64 (neg.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))) (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (PI.f64)))
(neg.f64 (/.f64 (*.f64 (neg.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))) (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (PI.f64))))
(*.f64 (neg.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))) (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64))))
(neg.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))))
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (+.f64 (log.f64 #s(literal 2 binary64)) (-.f64 (log.f64 (cosh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (log.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))))))))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (+.f64 (log.f64 #s(literal 2 binary64)) (-.f64 (log.f64 (cosh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (log.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))))))
(/.f64 (PI.f64) #s(literal 4 binary64))
#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 f (*.f64 (PI.f64) #s(literal 1/2 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 f (*.f64 (PI.f64) #s(literal 1/2 binary64))))))
(sqrt.f64 (PI.f64))
(log.f64 (cosh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))
(+.f64 (log.f64 #s(literal 2 binary64)) (-.f64 (log.f64 (cosh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (log.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))))))
Outputs
(+.f64 #s(literal 0 binary64) (/.f64 (log.f64 (tanh.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f)))) (*.f64 (PI.f64) #s(literal 1/4 binary64))))
(+.f64 (neg.f64 (/.f64 (log.f64 #s(literal 2 binary64)) (*.f64 (PI.f64) #s(literal 1/4 binary64)))) (neg.f64 (/.f64 (log.f64 (/.f64 (/.f64 #s(literal 1 binary64) (tanh.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f)))) #s(literal 2 binary64))) (*.f64 (PI.f64) #s(literal 1/4 binary64)))))
(+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) (*.f64 (PI.f64) #s(literal 1/4 binary64)))) (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 (/.f64 #s(literal 1 binary64) (tanh.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f)))) #s(literal 2 binary64))) (*.f64 (PI.f64) #s(literal 1/4 binary64)))))
(+.f64 (*.f64 (neg.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (log.f64 #s(literal 2 binary64))) (*.f64 (neg.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (log.f64 (/.f64 (/.f64 #s(literal 1 binary64) (tanh.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f)))) #s(literal 2 binary64)))))
(+.f64 (*.f64 (neg.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (log.f64 (/.f64 (/.f64 #s(literal 1 binary64) (tanh.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f)))) #s(literal 2 binary64)))) (*.f64 (neg.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (log.f64 #s(literal 2 binary64))))
(+.f64 (*.f64 (/.f64 (log.f64 #s(literal 2 binary64)) (*.f64 (PI.f64) #s(literal 1/4 binary64))) #s(literal -1 binary64)) (*.f64 (/.f64 (log.f64 (/.f64 (/.f64 #s(literal 1 binary64) (tanh.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f)))) #s(literal 2 binary64))) (*.f64 (PI.f64) #s(literal 1/4 binary64))) #s(literal -1 binary64)))
(+.f64 (*.f64 (log.f64 #s(literal 2 binary64)) (neg.f64 (/.f64 #s(literal 4 binary64) (PI.f64)))) (*.f64 (log.f64 (/.f64 (/.f64 #s(literal 1 binary64) (tanh.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f)))) #s(literal 2 binary64))) (neg.f64 (/.f64 #s(literal 4 binary64) (PI.f64)))))
(+.f64 (*.f64 (log.f64 (/.f64 (/.f64 #s(literal 1 binary64) (tanh.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f)))) #s(literal 2 binary64))) (neg.f64 (/.f64 #s(literal 4 binary64) (PI.f64)))) (*.f64 (log.f64 #s(literal 2 binary64)) (neg.f64 (/.f64 #s(literal 4 binary64) (PI.f64)))))
(exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) (log.f64 (tanh.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f)))))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 (log.f64 (tanh.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f)))) (*.f64 (PI.f64) #s(literal -1/4 binary64))))
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 (PI.f64) #s(literal 1/4 binary64))) (/.f64 (log.f64 (tanh.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f)))) (*.f64 (PI.f64) #s(literal -1/4 binary64))))
(-.f64 (-.f64 #s(literal 0 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) (*.f64 (PI.f64) #s(literal 1/4 binary64)))) (/.f64 (log.f64 (/.f64 (/.f64 #s(literal 1 binary64) (tanh.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f)))) #s(literal 2 binary64))) (*.f64 (PI.f64) #s(literal 1/4 binary64))))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (sqrt.f64 (PI.f64)))) (/.f64 (log.f64 (tanh.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f)))) (*.f64 (PI.f64) #s(literal -1/4 binary64))))
(-.f64 (/.f64 (log.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f))))) (*.f64 (PI.f64) #s(literal 1/4 binary64))) (/.f64 (log.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f))))) (*.f64 (PI.f64) #s(literal 1/4 binary64))))
(-.f64 (/.f64 (log.f64 (expm1.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) (+.f64 f f)))) (*.f64 (PI.f64) #s(literal 1/4 binary64))) (/.f64 (log1p.f64 (exp.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) (+.f64 f f)))) (*.f64 (PI.f64) #s(literal 1/4 binary64))))
(-.f64 (/.f64 (log1p.f64 (neg.f64 (exp.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f)) #s(literal -2 binary64))))) (*.f64 (PI.f64) #s(literal 1/4 binary64))) (/.f64 (log1p.f64 (exp.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f)) #s(literal -2 binary64)))) (*.f64 (PI.f64) #s(literal 1/4 binary64))))
(-.f64 (/.f64 (log.f64 (cosh.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f)))) (*.f64 (PI.f64) #s(literal -1/4 binary64))) (/.f64 (log.f64 (sinh.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f)))) (*.f64 (PI.f64) #s(literal -1/4 binary64))))
(-.f64 (/.f64 (log.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f))))) (*.f64 (PI.f64) #s(literal -1/4 binary64))) (/.f64 (log.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f))))) (*.f64 (PI.f64) #s(literal -1/4 binary64))))
(-.f64 (/.f64 (log.f64 (*.f64 #s(literal -2 binary64) (cosh.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f))))) (*.f64 (PI.f64) #s(literal -1/4 binary64))) (/.f64 (log.f64 (*.f64 (sinh.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f))) #s(literal -2 binary64))) (*.f64 (PI.f64) #s(literal -1/4 binary64))))
(-.f64 (/.f64 (/.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (log.f64 (/.f64 #s(literal 2 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (tanh.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f)))) #s(literal 2 binary64))))) (*.f64 (PI.f64) #s(literal -1/4 binary64))) (/.f64 (/.f64 (pow.f64 (log.f64 (/.f64 (/.f64 #s(literal 1 binary64) (tanh.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f)))) #s(literal 2 binary64))) #s(literal 2 binary64)) (log.f64 (/.f64 #s(literal 2 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (tanh.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f)))) #s(literal 2 binary64))))) (*.f64 (PI.f64) #s(literal -1/4 binary64))))
(-.f64 (/.f64 #s(literal 0 binary64) (sqrt.f64 (PI.f64))) (/.f64 (log.f64 (tanh.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f)))) (*.f64 (PI.f64) #s(literal -1/4 binary64))))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (neg.f64 (sqrt.f64 (PI.f64))))) (/.f64 (log.f64 (tanh.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f)))) (*.f64 (PI.f64) #s(literal -1/4 binary64))))
(-.f64 (/.f64 #s(literal 0 binary64) (+.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (/.f64 (log.f64 (tanh.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f)))) (*.f64 (PI.f64) #s(literal -1/4 binary64))) #s(literal 2 binary64)) (*.f64 #s(literal 0 binary64) (/.f64 (log.f64 (tanh.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f)))) (*.f64 (PI.f64) #s(literal -1/4 binary64))))))) (/.f64 (pow.f64 (/.f64 (log.f64 (tanh.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f)))) (*.f64 (PI.f64) #s(literal -1/4 binary64))) #s(literal 3 binary64)) (+.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (/.f64 (log.f64 (tanh.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f)))) (*.f64 (PI.f64) #s(literal -1/4 binary64))) #s(literal 2 binary64)) (*.f64 #s(literal 0 binary64) (/.f64 (log.f64 (tanh.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f)))) (*.f64 (PI.f64) #s(literal -1/4 binary64))))))))
(-.f64 (/.f64 #s(literal 0 binary64) (+.f64 #s(literal 0 binary64) (/.f64 (log.f64 (tanh.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f)))) (*.f64 (PI.f64) #s(literal -1/4 binary64))))) (/.f64 (pow.f64 (/.f64 (log.f64 (tanh.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f)))) (*.f64 (PI.f64) #s(literal -1/4 binary64))) #s(literal 2 binary64)) (+.f64 #s(literal 0 binary64) (/.f64 (log.f64 (tanh.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f)))) (*.f64 (PI.f64) #s(literal -1/4 binary64))))))
(fma.f64 (log.f64 #s(literal 2 binary64)) (neg.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (*.f64 (log.f64 (/.f64 (/.f64 #s(literal 1 binary64) (tanh.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f)))) #s(literal 2 binary64))) (neg.f64 (/.f64 #s(literal 4 binary64) (PI.f64)))))
(fma.f64 (log.f64 (/.f64 (/.f64 #s(literal 1 binary64) (tanh.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f)))) #s(literal 2 binary64))) (neg.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (*.f64 (log.f64 #s(literal 2 binary64)) (neg.f64 (/.f64 #s(literal 4 binary64) (PI.f64)))))
(fma.f64 #s(literal -1 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) (*.f64 (PI.f64) #s(literal 1/4 binary64))) (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 (/.f64 #s(literal 1 binary64) (tanh.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f)))) #s(literal 2 binary64))) (*.f64 (PI.f64) #s(literal 1/4 binary64)))))
(fma.f64 (neg.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (log.f64 #s(literal 2 binary64)) (*.f64 (neg.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (log.f64 (/.f64 (/.f64 #s(literal 1 binary64) (tanh.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f)))) #s(literal 2 binary64)))))
(fma.f64 (neg.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (log.f64 (/.f64 (/.f64 #s(literal 1 binary64) (tanh.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f)))) #s(literal 2 binary64))) (*.f64 (neg.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (log.f64 #s(literal 2 binary64))))
(fma.f64 (/.f64 (log.f64 #s(literal 2 binary64)) (*.f64 (PI.f64) #s(literal 1/4 binary64))) #s(literal -1 binary64) (*.f64 (/.f64 (log.f64 (/.f64 (/.f64 #s(literal 1 binary64) (tanh.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f)))) #s(literal 2 binary64))) (*.f64 (PI.f64) #s(literal 1/4 binary64))) #s(literal -1 binary64)))
(neg.f64 (/.f64 (log.f64 (tanh.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f)))) (*.f64 (PI.f64) #s(literal -1/4 binary64))))
(/.f64 (log.f64 (tanh.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f)))) (*.f64 (PI.f64) #s(literal 1/4 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) (log.f64 (tanh.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f))))))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (PI.f64)) (/.f64 (log.f64 (tanh.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f)))) (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/4 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/4 binary64) (/.f64 (log.f64 (tanh.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f)))) (PI.f64))))
(/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (/.f64 #s(literal 1 binary64) (log.f64 (tanh.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f))))))
(/.f64 (neg.f64 (log.f64 (tanh.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f))))) (*.f64 (PI.f64) #s(literal -1/4 binary64)))
(/.f64 (/.f64 (log.f64 (tanh.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f)))) (neg.f64 (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/4 binary64)))) (neg.f64 (sqrt.f64 (PI.f64))))
(/.f64 (/.f64 (log.f64 (tanh.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f)))) (neg.f64 (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/4 binary64)))) (neg.f64 (neg.f64 (neg.f64 (sqrt.f64 (PI.f64))))))
(/.f64 #s(literal -1 binary64) (/.f64 (*.f64 (PI.f64) #s(literal -1/4 binary64)) (log.f64 (tanh.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1/4 binary64) (/.f64 (log.f64 (tanh.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f)))) (PI.f64)))))
(/.f64 (/.f64 (log.f64 (tanh.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f)))) (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/4 binary64))) (sqrt.f64 (PI.f64)))
(/.f64 (/.f64 (log.f64 (tanh.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f)))) (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/4 binary64))) (neg.f64 (neg.f64 (sqrt.f64 (PI.f64)))))
(/.f64 (neg.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (neg.f64 (/.f64 #s(literal 1 binary64) (log.f64 (tanh.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f)))))))
(/.f64 (*.f64 #s(literal 4 binary64) (neg.f64 (log.f64 (tanh.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f)))))) (neg.f64 (PI.f64)))
(/.f64 (/.f64 (log.f64 (tanh.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f)))) (PI.f64)) #s(literal 1/4 binary64))
(/.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) (/.f64 #s(literal 1/4 binary64) (log.f64 (tanh.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f))))))
(/.f64 (neg.f64 (/.f64 (log.f64 (tanh.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f)))) (PI.f64))) #s(literal -1/4 binary64))
(/.f64 (neg.f64 (*.f64 #s(literal 4 binary64) (neg.f64 (log.f64 (tanh.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f))))))) (neg.f64 (neg.f64 (PI.f64))))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (/.f64 (log.f64 (tanh.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f)))) (*.f64 (PI.f64) #s(literal -1/4 binary64))) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (/.f64 (log.f64 (tanh.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f)))) (*.f64 (PI.f64) #s(literal -1/4 binary64))) #s(literal 2 binary64)) (*.f64 #s(literal 0 binary64) (/.f64 (log.f64 (tanh.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f)))) (*.f64 (PI.f64) #s(literal -1/4 binary64)))))))
(/.f64 (/.f64 (log.f64 (tanh.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f)))) #s(literal 1/4 binary64)) (PI.f64))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (/.f64 (log.f64 (tanh.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f)))) (*.f64 (PI.f64) #s(literal -1/4 binary64))) #s(literal 2 binary64))) (+.f64 #s(literal 0 binary64) (/.f64 (log.f64 (tanh.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f)))) (*.f64 (PI.f64) #s(literal -1/4 binary64)))))
(/.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (neg.f64 (/.f64 #s(literal 1/4 binary64) (log.f64 (tanh.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f)))))))
(/.f64 (*.f64 (log.f64 (tanh.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f)))) #s(literal 1 binary64)) (*.f64 (PI.f64) #s(literal 1/4 binary64)))
(/.f64 (*.f64 #s(literal 1 binary64) (log.f64 (tanh.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f))))) (*.f64 (PI.f64) #s(literal 1/4 binary64)))
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(/.f64 (+.f64 #s(literal 0 binary64) (pow.f64 (neg.f64 (log.f64 (tanh.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f))))) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (-.f64 (*.f64 (neg.f64 (log.f64 (tanh.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f))))) (neg.f64 (log.f64 (tanh.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f)))))) (*.f64 #s(literal 0 binary64) (neg.f64 (log.f64 (tanh.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f)))))))))
(/.f64 (+.f64 (pow.f64 (log.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f))))) #s(literal 3 binary64)) (neg.f64 (pow.f64 (log.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f))))) #s(literal 3 binary64)))) (+.f64 (pow.f64 (log.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f))))) #s(literal 2 binary64)) (-.f64 (pow.f64 (log.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f))))) #s(literal 2 binary64)) (*.f64 (log.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f))))) (neg.f64 (log.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f))))))))))
(/.f64 (+.f64 (pow.f64 (*.f64 #s(literal 1 binary64) (log.f64 #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal 1 binary64) (log.f64 (/.f64 (/.f64 #s(literal 1 binary64) (tanh.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f)))) #s(literal 2 binary64)))) #s(literal 3 binary64))) (fma.f64 (*.f64 #s(literal 1 binary64) (log.f64 #s(literal 2 binary64))) (*.f64 #s(literal 1 binary64) (log.f64 #s(literal 2 binary64))) (-.f64 (*.f64 (*.f64 #s(literal 1 binary64) (log.f64 (/.f64 (/.f64 #s(literal 1 binary64) (tanh.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f)))) #s(literal 2 binary64)))) (*.f64 #s(literal 1 binary64) (log.f64 (/.f64 (/.f64 #s(literal 1 binary64) (tanh.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f)))) #s(literal 2 binary64))))) (*.f64 (*.f64 #s(literal 1 binary64) (log.f64 #s(literal 2 binary64))) (*.f64 #s(literal 1 binary64) (log.f64 (/.f64 (/.f64 #s(literal 1 binary64) (tanh.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f)))) #s(literal 2 binary64))))))))
(/.f64 (+.f64 (pow.f64 (*.f64 #s(literal 1 binary64) (log.f64 (/.f64 (/.f64 #s(literal 1 binary64) (tanh.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f)))) #s(literal 2 binary64)))) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal 1 binary64) (log.f64 #s(literal 2 binary64))) #s(literal 3 binary64))) (fma.f64 (*.f64 #s(literal 1 binary64) (log.f64 (/.f64 (/.f64 #s(literal 1 binary64) (tanh.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f)))) #s(literal 2 binary64)))) (*.f64 #s(literal 1 binary64) (log.f64 (/.f64 (/.f64 #s(literal 1 binary64) (tanh.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f)))) #s(literal 2 binary64)))) (-.f64 (*.f64 (*.f64 #s(literal 1 binary64) (log.f64 #s(literal 2 binary64))) (*.f64 #s(literal 1 binary64) (log.f64 #s(literal 2 binary64)))) (*.f64 (*.f64 #s(literal 1 binary64) (log.f64 (/.f64 (/.f64 #s(literal 1 binary64) (tanh.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f)))) #s(literal 2 binary64)))) (*.f64 #s(literal 1 binary64) (log.f64 #s(literal 2 binary64)))))))
(/.f64 (+.f64 (pow.f64 (*.f64 (log.f64 #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 (log.f64 (/.f64 (/.f64 #s(literal 1 binary64) (tanh.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f)))) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 3 binary64))) (fma.f64 (*.f64 (log.f64 #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (log.f64 #s(literal 2 binary64)) #s(literal 1 binary64)) (-.f64 (*.f64 (*.f64 (log.f64 (/.f64 (/.f64 #s(literal 1 binary64) (tanh.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f)))) #s(literal 2 binary64))) #s(literal 1 binary64)) (*.f64 (log.f64 (/.f64 (/.f64 #s(literal 1 binary64) (tanh.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f)))) #s(literal 2 binary64))) #s(literal 1 binary64))) (*.f64 (*.f64 (log.f64 #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (log.f64 (/.f64 (/.f64 #s(literal 1 binary64) (tanh.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f)))) #s(literal 2 binary64))) #s(literal 1 binary64))))))
(/.f64 (+.f64 (pow.f64 (*.f64 (log.f64 (/.f64 (/.f64 #s(literal 1 binary64) (tanh.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f)))) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 (log.f64 #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 3 binary64))) (fma.f64 (*.f64 (log.f64 (/.f64 (/.f64 #s(literal 1 binary64) (tanh.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f)))) #s(literal 2 binary64))) #s(literal 1 binary64)) (*.f64 (log.f64 (/.f64 (/.f64 #s(literal 1 binary64) (tanh.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f)))) #s(literal 2 binary64))) #s(literal 1 binary64)) (-.f64 (*.f64 (*.f64 (log.f64 #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (log.f64 #s(literal 2 binary64)) #s(literal 1 binary64))) (*.f64 (*.f64 (log.f64 (/.f64 (/.f64 #s(literal 1 binary64) (tanh.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f)))) #s(literal 2 binary64))) #s(literal 1 binary64)) (*.f64 (log.f64 #s(literal 2 binary64)) #s(literal 1 binary64))))))
(pow.f64 (/.f64 (fma.f64 (log.f64 (/.f64 (/.f64 #s(literal 1 binary64) (tanh.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f)))) #s(literal 2 binary64))) (log.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (tanh.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f)))) #s(literal 2 binary64)) #s(literal 2 binary64))) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64))) (+.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (log.f64 (/.f64 (/.f64 #s(literal 1 binary64) (tanh.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f)))) #s(literal 2 binary64))) #s(literal 3 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (log.f64 (/.f64 #s(literal 2 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (tanh.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f)))) #s(literal 2 binary64)))) (*.f64 (neg.f64 (log.f64 (tanh.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f))))) (log.f64 (/.f64 #s(literal 2 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (tanh.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f)))) #s(literal 2 binary64)))))) #s(literal -1 binary64))
(*.f64 (log.f64 (tanh.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f)))) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (neg.f64 (log.f64 (tanh.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f))))))
(*.f64 (neg.f64 (log.f64 (tanh.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f))))) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (log.f64 (tanh.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f)))))
(*.f64 (+.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (log.f64 (/.f64 (/.f64 #s(literal 1 binary64) (tanh.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f)))) #s(literal 2 binary64))) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (log.f64 (/.f64 (/.f64 #s(literal 1 binary64) (tanh.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f)))) #s(literal 2 binary64))) (log.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (tanh.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f)))) #s(literal 2 binary64)) #s(literal 2 binary64))) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))))
(*.f64 (*.f64 (neg.f64 (log.f64 (tanh.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f))))) (log.f64 (/.f64 #s(literal 2 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (tanh.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f)))) #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) (log.f64 (/.f64 #s(literal 2 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (tanh.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f)))) #s(literal 2 binary64))))))

eval561.0ms (3.2%)

Memory
19.2MiB live, 845.5MiB allocated
Compiler

Compiled 107 049 to 8 668 computations (91.9% saved)

prune621.0ms (3.5%)

Memory
-116.8MiB live, 755.4MiB allocated
Pruning

26 alts after pruning (25 fresh and 1 done)

PrunedKeptTotal
New3 161213 182
Fresh10414
Picked415
Done000
Total3 175263 201
Accuracy
99.9%
Counts
3 201 → 26
Alt Table
Click to see full alt table
StatusAccuracyProgram
96.4%
(fma.f64 (neg.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (log.f64 #s(literal 2 binary64)) (*.f64 (neg.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (log.f64 (/.f64 (/.f64 #s(literal 1 binary64) (tanh.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f)))) #s(literal 2 binary64)))))
98.0%
(/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (/.f64 #s(literal 1 binary64) (log.f64 (tanh.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f))))))
98.1%
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (*.f64 (PI.f64) #s(literal -1/4 binary64))) (*.f64 (*.f64 (PI.f64) #s(literal -1/4 binary64)) (log.f64 (tanh.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f)))))) (*.f64 (*.f64 (PI.f64) #s(literal -1/4 binary64)) (*.f64 (PI.f64) #s(literal -1/4 binary64))))
8.8%
(/.f64 (-.f64 (log1p.f64 (neg.f64 (exp.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f)) #s(literal -2 binary64))))) (log1p.f64 (exp.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f)) #s(literal -2 binary64))))) (*.f64 (PI.f64) #s(literal 1/4 binary64)))
97.1%
(/.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (*.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))) #s(literal 1/4 binary64)))
98.2%
(/.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (*.f64 (PI.f64) #s(literal 1/4 binary64)))
95.7%
(/.f64 (log.f64 #s(approx (tanh (* (* (PI) 1/4) f)) (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64))))) (*.f64 (PI.f64) #s(literal 1/4 binary64)))
95.7%
(/.f64 #s(approx (log (tanh (* (* (PI) 1/4) f))) (+.f64 (log.f64 f) (log.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64))))) (*.f64 (PI.f64) #s(literal 1/4 binary64)))
96.3%
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (PI.f64) (log.f64 (exp.f64 #s(literal 1/4 binary64)))) (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))))
95.6%
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) (log.f64 #s(approx (tanh (* (* (PI) 1/4) f)) (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))))))
98.0%
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1/4 binary64) (log.f64 (tanh.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f))))) (PI.f64)))
8.8%
(-.f64 (/.f64 (log1p.f64 (neg.f64 (exp.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f)) #s(literal -2 binary64))))) (*.f64 (PI.f64) #s(literal 1/4 binary64))) (/.f64 (log1p.f64 (exp.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f)) #s(literal -2 binary64)))) (*.f64 (PI.f64) #s(literal 1/4 binary64))))
95.6%
(*.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 1 binary64) (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f)))))))
97.8%
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64))) (pow.f64 (*.f64 (sqrt.f64 (PI.f64)) (/.f64 #s(literal 1/4 binary64) (log.f64 (tanh.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f)))))) #s(literal -1 binary64)))
96.6%
(neg.f64 (fma.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (log.f64 (/.f64 (/.f64 #s(literal 1 binary64) (tanh.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f)))) #s(literal 2 binary64))) (/.f64 (log.f64 #s(literal 2 binary64)) (*.f64 (PI.f64) #s(literal 1/4 binary64)))))
96.7%
(neg.f64 (/.f64 (fma.f64 (log.f64 (/.f64 (/.f64 #s(literal 1 binary64) (tanh.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f)))) #s(literal 2 binary64))) (*.f64 (PI.f64) #s(literal 1/4 binary64)) (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) (log.f64 #s(literal 2 binary64)))) (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) (*.f64 (PI.f64) #s(literal 1/4 binary64)))))
95.4%
(neg.f64 (/.f64 (*.f64 (neg.f64 (log.f64 #s(approx (tanh (* (* (PI) 1/4) f)) (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))))) (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (PI.f64))))
98.1%
(neg.f64 (*.f64 (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64))) (*.f64 (neg.f64 (log.f64 (tanh.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f))))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64))))))
98.1%
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 #s(literal 1 binary64) (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))))))
95.9%
(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 f (*.f64 f (fma.f64 (*.f64 #s(literal 1/192 binary64) (*.f64 #s(literal 2 binary64) (+.f64 (PI.f64) (PI.f64)))) #s(literal -2 binary64) (*.f64 #s(literal 1/16 binary64) (+.f64 (PI.f64) (PI.f64))))) (/.f64 #s(literal 4 binary64) (PI.f64))) f)))))
95.6%
(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 (/.f64 #s(literal 2 binary64) f) (*.f64 (PI.f64) #s(literal 1/2 binary64)))))))
95.6%
(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 (+.f64 #s(literal 0 binary64) (/.f64 #s(literal 4 binary64) (PI.f64))) f)))))
95.5%
(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 f (*.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))) #s(literal 1/2 binary64))))))))
94.2%
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 1/4 binary64) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)))) (log.f64 #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 f (*.f64 (PI.f64) #s(literal 1/2 binary64))))))))
95.0%
(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 f (*.f64 (PI.f64) #s(literal 1/2 binary64))))))))
95.7%
#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 992 to 704 computations (29% saved)

simplify150.0ms (0.8%)

Memory
21.1MiB live, 208.3MiB allocated
Algorithm
egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff128
(fma.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (log.f64 (/.f64 (/.f64 #s(literal 1 binary64) (tanh.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f)))) #s(literal 2 binary64))) (/.f64 (log.f64 #s(literal 2 binary64)) (*.f64 (PI.f64) #s(literal 1/4 binary64))))
cost-diff128
(neg.f64 (fma.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (log.f64 (/.f64 (/.f64 #s(literal 1 binary64) (tanh.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f)))) #s(literal 2 binary64))) (/.f64 (log.f64 #s(literal 2 binary64)) (*.f64 (PI.f64) #s(literal 1/4 binary64)))))
cost-diff256
(log.f64 (/.f64 (/.f64 #s(literal 1 binary64) (tanh.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f)))) #s(literal 2 binary64)))
cost-diff704
(/.f64 (/.f64 #s(literal 1 binary64) (tanh.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f)))) #s(literal 2 binary64))
cost-diff0
(log.f64 (tanh.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f))))
cost-diff0
(/.f64 #s(literal 1/4 binary64) (log.f64 (tanh.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f)))))
cost-diff0
(*.f64 (/.f64 #s(literal 1/4 binary64) (log.f64 (tanh.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f))))) (PI.f64))
cost-diff704
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1/4 binary64) (log.f64 (tanh.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f))))) (PI.f64)))
cost-diff128
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 1/4 binary64) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)))) (log.f64 #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 f (*.f64 (PI.f64) #s(literal 1/2 binary64))))))))
cost-diff320
(/.f64 #s(literal 2 binary64) (*.f64 f (*.f64 (PI.f64) #s(literal 1/2 binary64))))
cost-diff320
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 1/4 binary64) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64))))
cost-diff1600
(*.f64 (*.f64 #s(literal 1/4 binary64) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)))
cost-diff0
(*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))
cost-diff0
#s(approx (tanh (* (* (PI) 1/4) f)) (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64))))
cost-diff0
(log.f64 #s(approx (tanh (* (* (PI) 1/4) f)) (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))))
cost-diff0
(/.f64 (log.f64 #s(approx (tanh (* (* (PI) 1/4) f)) (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64))))) (*.f64 (PI.f64) #s(literal 1/4 binary64)))
cost-diff192
(-.f64 (*.f64 #s(literal 0 binary64) (*.f64 (PI.f64) #s(literal -1/4 binary64))) (*.f64 (*.f64 (PI.f64) #s(literal -1/4 binary64)) (log.f64 (tanh.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f))))))
cost-diff320
(*.f64 (*.f64 (PI.f64) #s(literal -1/4 binary64)) (*.f64 (PI.f64) #s(literal -1/4 binary64)))
cost-diff640
(*.f64 #s(literal 0 binary64) (*.f64 (PI.f64) #s(literal -1/4 binary64)))
cost-diff960
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (*.f64 (PI.f64) #s(literal -1/4 binary64))) (*.f64 (*.f64 (PI.f64) #s(literal -1/4 binary64)) (log.f64 (tanh.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f)))))) (*.f64 (*.f64 (PI.f64) #s(literal -1/4 binary64)) (*.f64 (PI.f64) #s(literal -1/4 binary64))))
Rules
4 386×lower-*.f32
4 358×lower-*.f64
2 428×lower-/.f32
2 408×lower-/.f64
1 664×lower-neg.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
059529
098521
1233475
2608452
32354452
45237452
08218451
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (*.f64 (PI.f64) #s(literal -1/4 binary64))) (*.f64 (*.f64 (PI.f64) #s(literal -1/4 binary64)) (log.f64 (tanh.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f)))))) (*.f64 (*.f64 (PI.f64) #s(literal -1/4 binary64)) (*.f64 (PI.f64) #s(literal -1/4 binary64))))
(-.f64 (*.f64 #s(literal 0 binary64) (*.f64 (PI.f64) #s(literal -1/4 binary64))) (*.f64 (*.f64 (PI.f64) #s(literal -1/4 binary64)) (log.f64 (tanh.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f))))))
(*.f64 #s(literal 0 binary64) (*.f64 (PI.f64) #s(literal -1/4 binary64)))
#s(literal 0 binary64)
(*.f64 (PI.f64) #s(literal -1/4 binary64))
(PI.f64)
#s(literal -1/4 binary64)
(*.f64 (*.f64 (PI.f64) #s(literal -1/4 binary64)) (log.f64 (tanh.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f)))))
(log.f64 (tanh.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f))))
(tanh.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f)))
(*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f))
#s(literal 1/4 binary64)
(*.f64 (PI.f64) f)
f
(*.f64 (*.f64 (PI.f64) #s(literal -1/4 binary64)) (*.f64 (PI.f64) #s(literal -1/4 binary64)))
(/.f64 (log.f64 #s(approx (tanh (* (* (PI) 1/4) f)) (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64))))) (*.f64 (PI.f64) #s(literal 1/4 binary64)))
(log.f64 #s(approx (tanh (* (* (PI) 1/4) f)) (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))))
#s(approx (tanh (* (* (PI) 1/4) f)) (*.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 (PI.f64) #s(literal 1/4 binary64))
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 1/4 binary64) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)))) (log.f64 #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 f (*.f64 (PI.f64) #s(literal 1/2 binary64))))))))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 1/4 binary64) (sqrt.f64 (PI.f64))) (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 f (*.f64 (PI.f64) #s(literal 1/2 binary64)))))))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 1/4 binary64) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64))))
#s(literal 1 binary64)
(*.f64 (*.f64 #s(literal 1/4 binary64) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)))
(*.f64 #s(literal 1/4 binary64) (sqrt.f64 (PI.f64)))
#s(literal 1/4 binary64)
(sqrt.f64 (PI.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 f (*.f64 (PI.f64) #s(literal 1/2 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 f (*.f64 (PI.f64) #s(literal 1/2 binary64)))))
(/.f64 #s(literal 2 binary64) (*.f64 f (*.f64 (PI.f64) #s(literal 1/2 binary64))))
#s(literal 2 binary64)
(*.f64 f (*.f64 (PI.f64) #s(literal 1/2 binary64)))
f
(*.f64 (PI.f64) #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1/4 binary64) (log.f64 (tanh.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f))))) (PI.f64)))
#s(literal 1 binary64)
(*.f64 (/.f64 #s(literal 1/4 binary64) (log.f64 (tanh.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f))))) (PI.f64))
(/.f64 #s(literal 1/4 binary64) (log.f64 (tanh.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f)))))
#s(literal 1/4 binary64)
(log.f64 (tanh.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f))))
(tanh.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f)))
(*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f))
(*.f64 (PI.f64) f)
(PI.f64)
f
(neg.f64 (fma.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (log.f64 (/.f64 (/.f64 #s(literal 1 binary64) (tanh.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f)))) #s(literal 2 binary64))) (/.f64 (log.f64 #s(literal 2 binary64)) (*.f64 (PI.f64) #s(literal 1/4 binary64)))))
(fma.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (log.f64 (/.f64 (/.f64 #s(literal 1 binary64) (tanh.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f)))) #s(literal 2 binary64))) (/.f64 (log.f64 #s(literal 2 binary64)) (*.f64 (PI.f64) #s(literal 1/4 binary64))))
(/.f64 #s(literal 4 binary64) (PI.f64))
#s(literal 4 binary64)
(PI.f64)
(log.f64 (/.f64 (/.f64 #s(literal 1 binary64) (tanh.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f)))) #s(literal 2 binary64)))
(/.f64 (/.f64 #s(literal 1 binary64) (tanh.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f)))) #s(literal 2 binary64))
(/.f64 #s(literal 1 binary64) (tanh.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f))))
#s(literal 1 binary64)
(tanh.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f)))
(*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f))
#s(literal 1/4 binary64)
(*.f64 (PI.f64) f)
f
#s(literal 2 binary64)
(/.f64 (log.f64 #s(literal 2 binary64)) (*.f64 (PI.f64) #s(literal 1/4 binary64)))
(log.f64 #s(literal 2 binary64))
(*.f64 (PI.f64) #s(literal 1/4 binary64))
Outputs
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (*.f64 (PI.f64) #s(literal -1/4 binary64))) (*.f64 (*.f64 (PI.f64) #s(literal -1/4 binary64)) (log.f64 (tanh.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f)))))) (*.f64 (*.f64 (PI.f64) #s(literal -1/4 binary64)) (*.f64 (PI.f64) #s(literal -1/4 binary64))))
(/.f64 (log.f64 (tanh.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f)))) (*.f64 (PI.f64) #s(literal 1/4 binary64)))
(-.f64 (*.f64 #s(literal 0 binary64) (*.f64 (PI.f64) #s(literal -1/4 binary64))) (*.f64 (*.f64 (PI.f64) #s(literal -1/4 binary64)) (log.f64 (tanh.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f))))))
(*.f64 (log.f64 (tanh.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f)))) (*.f64 (PI.f64) #s(literal 1/4 binary64)))
(*.f64 #s(literal 0 binary64) (*.f64 (PI.f64) #s(literal -1/4 binary64)))
#s(literal 0 binary64)
#s(literal 0 binary64)
(*.f64 (PI.f64) #s(literal -1/4 binary64))
(PI.f64)
#s(literal -1/4 binary64)
(*.f64 (*.f64 (PI.f64) #s(literal -1/4 binary64)) (log.f64 (tanh.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f)))))
(log.f64 (tanh.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f))))
(tanh.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f)))
(*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f))
#s(literal 1/4 binary64)
(*.f64 (PI.f64) f)
f
(*.f64 (*.f64 (PI.f64) #s(literal -1/4 binary64)) (*.f64 (PI.f64) #s(literal -1/4 binary64)))
(*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/16 binary64)))
(/.f64 (log.f64 #s(approx (tanh (* (* (PI) 1/4) f)) (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64))))) (*.f64 (PI.f64) #s(literal 1/4 binary64)))
(/.f64 (log.f64 #s(approx (tanh (* (* (PI) 1/4) f)) (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f)))) (*.f64 (PI.f64) #s(literal 1/4 binary64)))
(log.f64 #s(approx (tanh (* (* (PI) 1/4) f)) (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))))
(log.f64 #s(approx (tanh (* (* (PI) 1/4) f)) (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f))))
#s(approx (tanh (* (* (PI) 1/4) f)) (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64))))
#s(approx (tanh (* (* (PI) 1/4) f)) (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f)))
(*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))
(*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) 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 (PI.f64) #s(literal 1/4 binary64))
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 1/4 binary64) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)))) (log.f64 #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 f (*.f64 (PI.f64) #s(literal 1/2 binary64))))))))
(/.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 (PI.f64) #s(literal -1/4 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 1/4 binary64) (sqrt.f64 (PI.f64))) (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 f (*.f64 (PI.f64) #s(literal 1/2 binary64)))))))
(/.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 (PI.f64) #s(literal 1/4 binary64)))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 1/4 binary64) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64))))
(/.f64 #s(literal 4 binary64) (PI.f64))
#s(literal 1 binary64)
(*.f64 (*.f64 #s(literal 1/4 binary64) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)))
(*.f64 (PI.f64) #s(literal 1/4 binary64))
(*.f64 #s(literal 1/4 binary64) (sqrt.f64 (PI.f64)))
#s(literal 1/4 binary64)
(sqrt.f64 (PI.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 f (*.f64 (PI.f64) #s(literal 1/2 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))))
#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 f (*.f64 (PI.f64) #s(literal 1/2 binary64)))))
#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 f (*.f64 (PI.f64) #s(literal 1/2 binary64))))
(/.f64 #s(literal 4 binary64) (*.f64 (PI.f64) f))
#s(literal 2 binary64)
(*.f64 f (*.f64 (PI.f64) #s(literal 1/2 binary64)))
(*.f64 (*.f64 (PI.f64) f) #s(literal 1/2 binary64))
f
(*.f64 (PI.f64) #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1/4 binary64) (log.f64 (tanh.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f))))) (PI.f64)))
(/.f64 (log.f64 (tanh.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f)))) (*.f64 (PI.f64) #s(literal 1/4 binary64)))
#s(literal 1 binary64)
(*.f64 (/.f64 #s(literal 1/4 binary64) (log.f64 (tanh.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f))))) (PI.f64))
(/.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) (log.f64 (tanh.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f)))))
(/.f64 #s(literal 1/4 binary64) (log.f64 (tanh.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f)))))
#s(literal 1/4 binary64)
(log.f64 (tanh.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f))))
(tanh.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f)))
(*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f))
(*.f64 (PI.f64) f)
(PI.f64)
f
(neg.f64 (fma.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (log.f64 (/.f64 (/.f64 #s(literal 1 binary64) (tanh.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f)))) #s(literal 2 binary64))) (/.f64 (log.f64 #s(literal 2 binary64)) (*.f64 (PI.f64) #s(literal 1/4 binary64)))))
(fma.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (log.f64 (*.f64 (tanh.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f))) #s(literal 2 binary64))) (/.f64 (log.f64 #s(literal 2 binary64)) (*.f64 (PI.f64) #s(literal -1/4 binary64))))
(fma.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (log.f64 (/.f64 (/.f64 #s(literal 1 binary64) (tanh.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f)))) #s(literal 2 binary64))) (/.f64 (log.f64 #s(literal 2 binary64)) (*.f64 (PI.f64) #s(literal 1/4 binary64))))
(fma.f64 (log.f64 (*.f64 (tanh.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f))) #s(literal 2 binary64))) (/.f64 #s(literal -4 binary64) (PI.f64)) (/.f64 (log.f64 #s(literal 2 binary64)) (*.f64 (PI.f64) #s(literal 1/4 binary64))))
(/.f64 #s(literal 4 binary64) (PI.f64))
#s(literal 4 binary64)
(PI.f64)
(log.f64 (/.f64 (/.f64 #s(literal 1 binary64) (tanh.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f)))) #s(literal 2 binary64)))
(neg.f64 (log.f64 (*.f64 (tanh.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f))) #s(literal 2 binary64))))
(/.f64 (/.f64 #s(literal 1 binary64) (tanh.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f)))) #s(literal 2 binary64))
(/.f64 #s(literal 1/2 binary64) (tanh.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f))))
(/.f64 #s(literal 1 binary64) (tanh.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f))))
#s(literal 1 binary64)
(tanh.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f)))
(*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f))
#s(literal 1/4 binary64)
(*.f64 (PI.f64) f)
f
#s(literal 2 binary64)
(/.f64 (log.f64 #s(literal 2 binary64)) (*.f64 (PI.f64) #s(literal 1/4 binary64)))
(log.f64 #s(literal 2 binary64))
(*.f64 (PI.f64) #s(literal 1/4 binary64))

localize414.0ms (2.3%)

Memory
-17.3MiB live, 577.4MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0.24609375
(*.f64 (PI.f64) f)
accuracy0.28515625
(/.f64 #s(literal 1 binary64) (tanh.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f))))
accuracy0.9687264153926188
(PI.f64)
accuracy1.1857902539309682
(fma.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (log.f64 (/.f64 (/.f64 #s(literal 1 binary64) (tanh.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f)))) #s(literal 2 binary64))) (/.f64 (log.f64 #s(literal 2 binary64)) (*.f64 (PI.f64) #s(literal 1/4 binary64))))
accuracy0.265625
(/.f64 #s(literal 1/4 binary64) (log.f64 (tanh.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f)))))
accuracy0.3046875
(*.f64 (/.f64 #s(literal 1/4 binary64) (log.f64 (tanh.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f))))) (PI.f64))
accuracy0.844705746268757
(log.f64 (tanh.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f))))
accuracy0.9687264153926188
(PI.f64)
accuracy0.9687264153926188
(PI.f64)
accuracy0.984375
(*.f64 (*.f64 #s(literal 1/4 binary64) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)))
accuracy0.984375
(sqrt.f64 (PI.f64))
accuracy1.341688860522509
#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 f (*.f64 (PI.f64) #s(literal 1/2 binary64)))))
accuracy0.3125
(/.f64 (log.f64 #s(approx (tanh (* (* (PI) 1/4) f)) (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64))))) (*.f64 (PI.f64) #s(literal 1/4 binary64)))
accuracy0.8447057462687569
(log.f64 #s(approx (tanh (* (* (PI) 1/4) f)) (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))))
accuracy0.9687264153926188
(PI.f64)
accuracy1.3414345186969265
#s(approx (tanh (* (* (PI) 1/4) f)) (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64))))
accuracy0.33203125
(*.f64 (*.f64 (PI.f64) #s(literal -1/4 binary64)) (log.f64 (tanh.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f)))))
accuracy0.37337875976844204
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (*.f64 (PI.f64) #s(literal -1/4 binary64))) (*.f64 (*.f64 (PI.f64) #s(literal -1/4 binary64)) (log.f64 (tanh.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f)))))) (*.f64 (*.f64 (PI.f64) #s(literal -1/4 binary64)) (*.f64 (PI.f64) #s(literal -1/4 binary64))))
accuracy0.844705746268757
(log.f64 (tanh.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f))))
accuracy0.9687264153926188
(PI.f64)
Samples
286.0ms238×1valid
32.0ms4exit
6.0ms14×0valid
Compiler

Compiled 483 to 58 computations (88% saved)

Precisions
Click to see histograms. Total time spent on operations: 280.0ms
ival-add: 60.0ms (21.5% of total)
ival-mult: 54.0ms (19.3% of total)
ival-log: 47.0ms (16.8% of total)
ival-div: 45.0ms (16.1% of total)
ival-exp: 18.0ms (6.4% of total)
ival-neg: 14.0ms (5% of total)
adjust: 13.0ms (4.6% of total)
ival-pi: 10.0ms (3.6% of total)
ival-tanh: 9.0ms (3.2% of total)
ival-sub: 5.0ms (1.8% of total)
ival-sqrt: 3.0ms (1.1% of total)
exact: 1.0ms (0.4% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series94.0ms (0.5%)

Memory
-2.0MiB live, 116.7MiB allocated
Counts
26 → 240
Calls
Call 1
Inputs
#s(alt (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (*.f64 (PI.f64) #s(literal -1/4 binary64))) (*.f64 (*.f64 (PI.f64) #s(literal -1/4 binary64)) (log.f64 (tanh.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f)))))) (*.f64 (*.f64 (PI.f64) #s(literal -1/4 binary64)) (*.f64 (PI.f64) #s(literal -1/4 binary64)))) (patch (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (*.f64 (PI.f64) #s(literal -1/4 binary64))) (*.f64 (*.f64 (PI.f64) #s(literal -1/4 binary64)) (log.f64 (tanh.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f)))))) (*.f64 (*.f64 (PI.f64) #s(literal -1/4 binary64)) (*.f64 (PI.f64) #s(literal -1/4 binary64)))) #<representation binary64>) () ())
#s(alt (*.f64 #s(literal 0 binary64) (*.f64 (PI.f64) #s(literal -1/4 binary64))) (patch (*.f64 #s(literal 0 binary64) (*.f64 (PI.f64) #s(literal -1/4 binary64))) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 (PI.f64) #s(literal -1/4 binary64)) (*.f64 (PI.f64) #s(literal -1/4 binary64))) (patch (*.f64 (*.f64 (PI.f64) #s(literal -1/4 binary64)) (*.f64 (PI.f64) #s(literal -1/4 binary64))) #<representation binary64>) () ())
#s(alt (-.f64 (*.f64 #s(literal 0 binary64) (*.f64 (PI.f64) #s(literal -1/4 binary64))) (*.f64 (*.f64 (PI.f64) #s(literal -1/4 binary64)) (log.f64 (tanh.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f)))))) (patch (-.f64 (*.f64 #s(literal 0 binary64) (*.f64 (PI.f64) #s(literal -1/4 binary64))) (*.f64 (*.f64 (PI.f64) #s(literal -1/4 binary64)) (log.f64 (tanh.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f)))))) #<representation binary64>) () ())
#s(alt (/.f64 (log.f64 #s(approx (tanh (* (* (PI) 1/4) f)) (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64))))) (*.f64 (PI.f64) #s(literal 1/4 binary64))) (patch (/.f64 (log.f64 #s(approx (tanh (* (* (PI) 1/4) f)) (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64))))) (*.f64 (PI.f64) #s(literal 1/4 binary64))) #<representation binary64>) () ())
#s(alt (log.f64 #s(approx (tanh (* (* (PI) 1/4) f)) (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64))))) (patch (log.f64 #s(approx (tanh (* (* (PI) 1/4) f)) (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64))))) #<representation binary64>) () ())
#s(alt #s(approx (tanh (* (* (PI) 1/4) f)) (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))) (patch #s(approx (tanh (* (* (PI) 1/4) f)) (*.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 (*.f64 #s(literal 1/4 binary64) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64))) (patch (*.f64 (*.f64 #s(literal 1/4 binary64) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64))) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 1/4 binary64) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)))) (patch (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 1/4 binary64) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)))) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 2 binary64) (*.f64 f (*.f64 (PI.f64) #s(literal 1/2 binary64)))) (patch (/.f64 #s(literal 2 binary64) (*.f64 f (*.f64 (PI.f64) #s(literal 1/2 binary64)))) #<representation binary64>) () ())
#s(alt (neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 1/4 binary64) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)))) (log.f64 #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 f (*.f64 (PI.f64) #s(literal 1/2 binary64)))))))) (patch (neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 1/4 binary64) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)))) (log.f64 #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 f (*.f64 (PI.f64) #s(literal 1/2 binary64)))))))) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1/4 binary64) (log.f64 (tanh.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f))))) (PI.f64))) (patch (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1/4 binary64) (log.f64 (tanh.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f))))) (PI.f64))) #<representation binary64>) () ())
#s(alt (*.f64 (/.f64 #s(literal 1/4 binary64) (log.f64 (tanh.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f))))) (PI.f64)) (patch (*.f64 (/.f64 #s(literal 1/4 binary64) (log.f64 (tanh.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f))))) (PI.f64)) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1/4 binary64) (log.f64 (tanh.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f))))) (patch (/.f64 #s(literal 1/4 binary64) (log.f64 (tanh.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f))))) #<representation binary64>) () ())
#s(alt (log.f64 (tanh.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f)))) (patch (log.f64 (tanh.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f)))) #<representation binary64>) () ())
#s(alt (/.f64 (/.f64 #s(literal 1 binary64) (tanh.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f)))) #s(literal 2 binary64)) (patch (/.f64 (/.f64 #s(literal 1 binary64) (tanh.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f)))) #s(literal 2 binary64)) #<representation binary64>) () ())
#s(alt (log.f64 (/.f64 (/.f64 #s(literal 1 binary64) (tanh.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f)))) #s(literal 2 binary64))) (patch (log.f64 (/.f64 (/.f64 #s(literal 1 binary64) (tanh.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f)))) #s(literal 2 binary64))) #<representation binary64>) () ())
#s(alt (neg.f64 (fma.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (log.f64 (/.f64 (/.f64 #s(literal 1 binary64) (tanh.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f)))) #s(literal 2 binary64))) (/.f64 (log.f64 #s(literal 2 binary64)) (*.f64 (PI.f64) #s(literal 1/4 binary64))))) (patch (neg.f64 (fma.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (log.f64 (/.f64 (/.f64 #s(literal 1 binary64) (tanh.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f)))) #s(literal 2 binary64))) (/.f64 (log.f64 #s(literal 2 binary64)) (*.f64 (PI.f64) #s(literal 1/4 binary64))))) #<representation binary64>) () ())
#s(alt (fma.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (log.f64 (/.f64 (/.f64 #s(literal 1 binary64) (tanh.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f)))) #s(literal 2 binary64))) (/.f64 (log.f64 #s(literal 2 binary64)) (*.f64 (PI.f64) #s(literal 1/4 binary64)))) (patch (fma.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (log.f64 (/.f64 (/.f64 #s(literal 1 binary64) (tanh.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f)))) #s(literal 2 binary64))) (/.f64 (log.f64 #s(literal 2 binary64)) (*.f64 (PI.f64) #s(literal 1/4 binary64)))) #<representation binary64>) () ())
#s(alt (PI.f64) (patch (PI.f64) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 (PI.f64) #s(literal -1/4 binary64)) (log.f64 (tanh.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f))))) (patch (*.f64 (*.f64 (PI.f64) #s(literal -1/4 binary64)) (log.f64 (tanh.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f))))) #<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 #s(literal 2 binary64) (*.f64 f (*.f64 (PI.f64) #s(literal 1/2 binary64))))) (patch #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 f (*.f64 (PI.f64) #s(literal 1/2 binary64))))) #<representation binary64>) () ())
#s(alt (sqrt.f64 (PI.f64)) (patch (sqrt.f64 (PI.f64)) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) (tanh.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f)))) (patch (/.f64 #s(literal 1 binary64) (tanh.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f)))) #<representation binary64>) () ())
#s(alt (*.f64 (PI.f64) f) (patch (*.f64 (PI.f64) f) #<representation binary64>) () ())
Outputs
#s(alt (* 4 (/ (+ (log f) (log (* 1/4 (PI)))) (PI))) (taylor 0 f) (#s(alt (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (*.f64 (PI.f64) #s(literal -1/4 binary64))) (*.f64 (*.f64 (PI.f64) #s(literal -1/4 binary64)) (log.f64 (tanh.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f)))))) (*.f64 (*.f64 (PI.f64) #s(literal -1/4 binary64)) (*.f64 (PI.f64) #s(literal -1/4 binary64)))) (patch (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (*.f64 (PI.f64) #s(literal -1/4 binary64))) (*.f64 (*.f64 (PI.f64) #s(literal -1/4 binary64)) (log.f64 (tanh.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f)))))) (*.f64 (*.f64 (PI.f64) #s(literal -1/4 binary64)) (*.f64 (PI.f64) #s(literal -1/4 binary64)))) #<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 0 binary64) (*.f64 (PI.f64) #s(literal -1/4 binary64))) (*.f64 (*.f64 (PI.f64) #s(literal -1/4 binary64)) (log.f64 (tanh.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f)))))) (*.f64 (*.f64 (PI.f64) #s(literal -1/4 binary64)) (*.f64 (PI.f64) #s(literal -1/4 binary64)))) (patch (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (*.f64 (PI.f64) #s(literal -1/4 binary64))) (*.f64 (*.f64 (PI.f64) #s(literal -1/4 binary64)) (log.f64 (tanh.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f)))))) (*.f64 (*.f64 (PI.f64) #s(literal -1/4 binary64)) (*.f64 (PI.f64) #s(literal -1/4 binary64)))) #<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 0 binary64) (*.f64 (PI.f64) #s(literal -1/4 binary64))) (*.f64 (*.f64 (PI.f64) #s(literal -1/4 binary64)) (log.f64 (tanh.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f)))))) (*.f64 (*.f64 (PI.f64) #s(literal -1/4 binary64)) (*.f64 (PI.f64) #s(literal -1/4 binary64)))) (patch (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (*.f64 (PI.f64) #s(literal -1/4 binary64))) (*.f64 (*.f64 (PI.f64) #s(literal -1/4 binary64)) (log.f64 (tanh.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f)))))) (*.f64 (*.f64 (PI.f64) #s(literal -1/4 binary64)) (*.f64 (PI.f64) #s(literal -1/4 binary64)))) #<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 0 binary64) (*.f64 (PI.f64) #s(literal -1/4 binary64))) (*.f64 (*.f64 (PI.f64) #s(literal -1/4 binary64)) (log.f64 (tanh.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f)))))) (*.f64 (*.f64 (PI.f64) #s(literal -1/4 binary64)) (*.f64 (PI.f64) #s(literal -1/4 binary64)))) (patch (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (*.f64 (PI.f64) #s(literal -1/4 binary64))) (*.f64 (*.f64 (PI.f64) #s(literal -1/4 binary64)) (log.f64 (tanh.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f)))))) (*.f64 (*.f64 (PI.f64) #s(literal -1/4 binary64)) (*.f64 (PI.f64) #s(literal -1/4 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* 4 (/ (log (/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))) (PI))) (taylor inf f) (#s(alt (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (*.f64 (PI.f64) #s(literal -1/4 binary64))) (*.f64 (*.f64 (PI.f64) #s(literal -1/4 binary64)) (log.f64 (tanh.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f)))))) (*.f64 (*.f64 (PI.f64) #s(literal -1/4 binary64)) (*.f64 (PI.f64) #s(literal -1/4 binary64)))) (patch (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (*.f64 (PI.f64) #s(literal -1/4 binary64))) (*.f64 (*.f64 (PI.f64) #s(literal -1/4 binary64)) (log.f64 (tanh.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f)))))) (*.f64 (*.f64 (PI.f64) #s(literal -1/4 binary64)) (*.f64 (PI.f64) #s(literal -1/4 binary64)))) #<representation binary64>) () ())) ())
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#s(alt (* f (PI)) (taylor 0 f) (#s(alt (*.f64 (PI.f64) f) (patch (*.f64 (PI.f64) f) #<representation binary64>) () ())) ())
#s(alt (* f (PI)) (taylor 0 f) (#s(alt (*.f64 (PI.f64) f) (patch (*.f64 (PI.f64) f) #<representation binary64>) () ())) ())
#s(alt (* f (PI)) (taylor 0 f) (#s(alt (*.f64 (PI.f64) f) (patch (*.f64 (PI.f64) f) #<representation binary64>) () ())) ())
#s(alt (* f (PI)) (taylor 0 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 (* 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 (* f (PI)) (taylor -inf f) (#s(alt (*.f64 (PI.f64) f) (patch (*.f64 (PI.f64) f) #<representation binary64>) () ())) ())
Calls

60 calls:

TimeVariablePointExpression
27.0ms
f
@inf
(log (/ (/ 1 (tanh (* 1/4 (* (PI) f)))) 2))
27.0ms
f
@-inf
(log (/ (/ 1 (tanh (* 1/4 (* (PI) f)))) 2))
2.0ms
f
@0
(/ 1/4 (log (tanh (* 1/4 (* (PI) f)))))
2.0ms
f
@0
(neg (+ (* (/ 4 (PI)) (log (/ (/ 1 (tanh (* 1/4 (* (PI) f)))) 2))) (/ (log 2) (* (PI) 1/4))))
2.0ms
f
@0
(log (/ (/ 1 (tanh (* 1/4 (* (PI) f)))) 2))

simplify332.0ms (1.9%)

Memory
12.3MiB live, 255.8MiB allocated
Algorithm
egg-herbie
Rules
11 012×lower-fma.f64
11 012×lower-fma.f32
5 870×lower-*.f64
5 870×lower-*.f32
2 694×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
051610327
117038722
080988344
Stop Event
iter limit
node limit
Counts
240 → 240
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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(/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI)))))))
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(/ (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))
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(/ (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))
(* f (PI))
(* f (PI))
(* f (PI))
(* f (PI))
(* f (PI))
(* f (PI))
(* f (PI))
(* f (PI))
(* f (PI))
(* f (PI))
(* f (PI))
(* f (PI))
Outputs
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(/.f64 (+.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))))) (-.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))))))
(/ (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))
(/.f64 (+.f64 (exp.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))) (exp.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 f (PI.f64))))) (-.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))))))
(* f (PI))
(*.f64 f (PI.f64))
(* f (PI))
(*.f64 f (PI.f64))
(* f (PI))
(*.f64 f (PI.f64))
(* f (PI))
(*.f64 f (PI.f64))
(* f (PI))
(*.f64 f (PI.f64))
(* f (PI))
(*.f64 f (PI.f64))
(* f (PI))
(*.f64 f (PI.f64))
(* f (PI))
(*.f64 f (PI.f64))
(* f (PI))
(*.f64 f (PI.f64))
(* f (PI))
(*.f64 f (PI.f64))
(* f (PI))
(*.f64 f (PI.f64))
(* f (PI))
(*.f64 f (PI.f64))

rewrite345.0ms (1.9%)

Memory
6.7MiB live, 282.5MiB allocated
Rules
4 030×lower-/.f32
4 010×lower-/.f64
3 546×lower-*.f32
3 518×lower-*.f64
2 698×lower-pow.f64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
059339
098265
1390244
22540241
08639241
Stop Event
iter limit
node limit
iter limit
Counts
26 → 909
Calls
Call 1
Inputs
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (*.f64 (PI.f64) #s(literal -1/4 binary64))) (*.f64 (*.f64 (PI.f64) #s(literal -1/4 binary64)) (log.f64 (tanh.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f)))))) (*.f64 (*.f64 (PI.f64) #s(literal -1/4 binary64)) (*.f64 (PI.f64) #s(literal -1/4 binary64))))
(*.f64 #s(literal 0 binary64) (*.f64 (PI.f64) #s(literal -1/4 binary64)))
(*.f64 (*.f64 (PI.f64) #s(literal -1/4 binary64)) (*.f64 (PI.f64) #s(literal -1/4 binary64)))
(-.f64 (*.f64 #s(literal 0 binary64) (*.f64 (PI.f64) #s(literal -1/4 binary64))) (*.f64 (*.f64 (PI.f64) #s(literal -1/4 binary64)) (log.f64 (tanh.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f))))))
(/.f64 (log.f64 #s(approx (tanh (* (* (PI) 1/4) f)) (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64))))) (*.f64 (PI.f64) #s(literal 1/4 binary64)))
(log.f64 #s(approx (tanh (* (* (PI) 1/4) f)) (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))))
#s(approx (tanh (* (* (PI) 1/4) f)) (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64))))
(*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))
(*.f64 (*.f64 #s(literal 1/4 binary64) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 1/4 binary64) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64))))
(/.f64 #s(literal 2 binary64) (*.f64 f (*.f64 (PI.f64) #s(literal 1/2 binary64))))
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 1/4 binary64) (sqrt.f64 (PI.f64))) (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 f (*.f64 (PI.f64) #s(literal 1/2 binary64))))))))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1/4 binary64) (log.f64 (tanh.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f))))) (PI.f64)))
(*.f64 (/.f64 #s(literal 1/4 binary64) (log.f64 (tanh.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f))))) (PI.f64))
(/.f64 #s(literal 1/4 binary64) (log.f64 (tanh.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f)))))
(log.f64 (tanh.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f))))
(/.f64 (/.f64 #s(literal 1 binary64) (tanh.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f)))) #s(literal 2 binary64))
(log.f64 (/.f64 (/.f64 #s(literal 1 binary64) (tanh.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f)))) #s(literal 2 binary64)))
(neg.f64 (fma.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (log.f64 (/.f64 (/.f64 #s(literal 1 binary64) (tanh.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f)))) #s(literal 2 binary64))) (/.f64 (log.f64 #s(literal 2 binary64)) (*.f64 (PI.f64) #s(literal 1/4 binary64)))))
(fma.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (log.f64 (/.f64 (/.f64 #s(literal 1 binary64) (tanh.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f)))) #s(literal 2 binary64))) (/.f64 (log.f64 #s(literal 2 binary64)) (*.f64 (PI.f64) #s(literal 1/4 binary64))))
(PI.f64)
(*.f64 (*.f64 (PI.f64) #s(literal -1/4 binary64)) (log.f64 (tanh.f64 (*.f64 #s(literal 1/4 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 f (*.f64 (PI.f64) #s(literal 1/2 binary64)))))
(sqrt.f64 (PI.f64))
(/.f64 #s(literal 1 binary64) (tanh.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f))))
(*.f64 (PI.f64) f)
Outputs
(+.f64 #s(literal 0 binary64) (neg.f64 (*.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal -1/4 binary64) (log.f64 (tanh.f64 (*.f64 f (*.f64 (PI.f64) #s(literal 1/4 binary64)))))) (*.f64 #s(literal 1/16 binary64) (PI.f64))))))
(exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/16 binary64)) (*.f64 (log.f64 (tanh.f64 (*.f64 f (*.f64 (PI.f64) #s(literal 1/4 binary64))))) (*.f64 (PI.f64) #s(literal 1/4 binary64))))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (*.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal -1/4 binary64) (log.f64 (tanh.f64 (*.f64 f (*.f64 (PI.f64) #s(literal 1/4 binary64)))))) (*.f64 #s(literal 1/16 binary64) (PI.f64)))))
(-.f64 (/.f64 (/.f64 #s(literal 0 binary64) (pow.f64 (*.f64 (*.f64 (PI.f64) #s(literal -1/4 binary64)) (log.f64 (tanh.f64 (*.f64 f (*.f64 (PI.f64) #s(literal 1/4 binary64)))))) #s(literal 2 binary64))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/16 binary64))) (*.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal -1/4 binary64) (log.f64 (tanh.f64 (*.f64 f (*.f64 (PI.f64) #s(literal 1/4 binary64)))))) (*.f64 #s(literal 1/16 binary64) (PI.f64)))))
(-.f64 (/.f64 (/.f64 #s(literal 0 binary64) (*.f64 (*.f64 (PI.f64) #s(literal -1/4 binary64)) (log.f64 (tanh.f64 (*.f64 f (*.f64 (PI.f64) #s(literal 1/4 binary64))))))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/16 binary64))) (*.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal -1/4 binary64) (log.f64 (tanh.f64 (*.f64 f (*.f64 (PI.f64) #s(literal 1/4 binary64)))))) (*.f64 #s(literal 1/16 binary64) (PI.f64)))))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal -1/16 binary64)))) (*.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal -1/4 binary64) (log.f64 (tanh.f64 (*.f64 f (*.f64 (PI.f64) #s(literal 1/4 binary64)))))) (*.f64 #s(literal 1/16 binary64) (PI.f64)))))
(-.f64 (/.f64 (/.f64 #s(literal 0 binary64) (pow.f64 (*.f64 (*.f64 (PI.f64) #s(literal -1/4 binary64)) (log.f64 (tanh.f64 (*.f64 f (*.f64 (PI.f64) #s(literal 1/4 binary64)))))) #s(literal 2 binary64))) (neg.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal -1/16 binary64)))) (*.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal -1/4 binary64) (log.f64 (tanh.f64 (*.f64 f (*.f64 (PI.f64) #s(literal 1/4 binary64)))))) (*.f64 #s(literal 1/16 binary64) (PI.f64)))))
(-.f64 (/.f64 (/.f64 #s(literal 0 binary64) (*.f64 (*.f64 (PI.f64) #s(literal -1/4 binary64)) (log.f64 (tanh.f64 (*.f64 f (*.f64 (PI.f64) #s(literal 1/4 binary64))))))) (neg.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal -1/16 binary64)))) (*.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal -1/4 binary64) (log.f64 (tanh.f64 (*.f64 f (*.f64 (PI.f64) #s(literal 1/4 binary64)))))) (*.f64 #s(literal 1/16 binary64) (PI.f64)))))
(-.f64 (/.f64 #s(literal 0 binary64) (pow.f64 (*.f64 (*.f64 (PI.f64) #s(literal -1/4 binary64)) (*.f64 (*.f64 (PI.f64) #s(literal -1/4 binary64)) (log.f64 (tanh.f64 (*.f64 f (*.f64 (PI.f64) #s(literal 1/4 binary64))))))) #s(literal 2 binary64))) (/.f64 (pow.f64 (*.f64 (*.f64 (PI.f64) #s(literal -1/4 binary64)) (log.f64 (tanh.f64 (*.f64 f (*.f64 (PI.f64) #s(literal 1/4 binary64)))))) #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 (PI.f64) #s(literal -1/4 binary64)) (*.f64 (*.f64 (PI.f64) #s(literal -1/4 binary64)) (log.f64 (tanh.f64 (*.f64 f (*.f64 (PI.f64) #s(literal 1/4 binary64))))))) #s(literal 2 binary64))))
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/16 binary64)) (*.f64 (*.f64 (PI.f64) #s(literal -1/4 binary64)) (log.f64 (tanh.f64 (*.f64 f (*.f64 (PI.f64) #s(literal 1/4 binary64)))))))) (/.f64 (pow.f64 (*.f64 (*.f64 (PI.f64) #s(literal -1/4 binary64)) (log.f64 (tanh.f64 (*.f64 f (*.f64 (PI.f64) #s(literal 1/4 binary64)))))) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/16 binary64)) (*.f64 (*.f64 (PI.f64) #s(literal -1/4 binary64)) (log.f64 (tanh.f64 (*.f64 f (*.f64 (PI.f64) #s(literal 1/4 binary64)))))))))
(-.f64 (/.f64 (*.f64 #s(literal 0 binary64) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/16 binary64))) (*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/16 binary64)) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/16 binary64)))) (/.f64 (*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/16 binary64)) (*.f64 (*.f64 (PI.f64) #s(literal -1/4 binary64)) (log.f64 (tanh.f64 (*.f64 f (*.f64 (PI.f64) #s(literal 1/4 binary64))))))) (*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/16 binary64)) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/16 binary64)))))
(-.f64 (/.f64 #s(literal 0 binary64) (+.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (*.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal -1/4 binary64) (log.f64 (tanh.f64 (*.f64 f (*.f64 (PI.f64) #s(literal 1/4 binary64)))))) (*.f64 #s(literal 1/16 binary64) (PI.f64)))) #s(literal 2 binary64)) (*.f64 #s(literal 0 binary64) (*.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal -1/4 binary64) (log.f64 (tanh.f64 (*.f64 f (*.f64 (PI.f64) #s(literal 1/4 binary64)))))) (*.f64 #s(literal 1/16 binary64) (PI.f64)))))))) (/.f64 (pow.f64 (*.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal -1/4 binary64) (log.f64 (tanh.f64 (*.f64 f (*.f64 (PI.f64) #s(literal 1/4 binary64)))))) (*.f64 #s(literal 1/16 binary64) (PI.f64)))) #s(literal 3 binary64)) (+.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (*.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal -1/4 binary64) (log.f64 (tanh.f64 (*.f64 f (*.f64 (PI.f64) #s(literal 1/4 binary64)))))) (*.f64 #s(literal 1/16 binary64) (PI.f64)))) #s(literal 2 binary64)) (*.f64 #s(literal 0 binary64) (*.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal -1/4 binary64) (log.f64 (tanh.f64 (*.f64 f (*.f64 (PI.f64) #s(literal 1/4 binary64)))))) (*.f64 #s(literal 1/16 binary64) (PI.f64)))))))))
(-.f64 (/.f64 #s(literal 0 binary64) (+.f64 #s(literal 0 binary64) (*.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal -1/4 binary64) (log.f64 (tanh.f64 (*.f64 f (*.f64 (PI.f64) #s(literal 1/4 binary64)))))) (*.f64 #s(literal 1/16 binary64) (PI.f64)))))) (/.f64 (pow.f64 (*.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal -1/4 binary64) (log.f64 (tanh.f64 (*.f64 f (*.f64 (PI.f64) #s(literal 1/4 binary64)))))) (*.f64 #s(literal 1/16 binary64) (PI.f64)))) #s(literal 2 binary64)) (+.f64 #s(literal 0 binary64) (*.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal -1/4 binary64) (log.f64 (tanh.f64 (*.f64 f (*.f64 (PI.f64) #s(literal 1/4 binary64)))))) (*.f64 #s(literal 1/16 binary64) (PI.f64)))))))
(neg.f64 (*.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal -1/4 binary64) (log.f64 (tanh.f64 (*.f64 f (*.f64 (PI.f64) #s(literal 1/4 binary64)))))) (*.f64 #s(literal 1/16 binary64) (PI.f64)))))
(/.f64 (*.f64 (*.f64 (PI.f64) #s(literal -1/4 binary64)) (log.f64 (tanh.f64 (*.f64 f (*.f64 (PI.f64) #s(literal 1/4 binary64)))))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal -1/16 binary64)))
(/.f64 (*.f64 (*.f64 (PI.f64) #s(literal -1/4 binary64)) (log.f64 (tanh.f64 (*.f64 f (*.f64 (PI.f64) #s(literal 1/4 binary64)))))) (neg.f64 (neg.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal -1/16 binary64)))))
(/.f64 (*.f64 (log.f64 (tanh.f64 (*.f64 f (*.f64 (PI.f64) #s(literal 1/4 binary64))))) (*.f64 (PI.f64) #s(literal 1/4 binary64))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/16 binary64)))
(/.f64 (*.f64 (log.f64 (tanh.f64 (*.f64 f (*.f64 (PI.f64) #s(literal 1/4 binary64))))) (*.f64 (PI.f64) #s(literal 1/4 binary64))) (neg.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal -1/16 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/16 binary64)) (*.f64 (log.f64 (tanh.f64 (*.f64 f (*.f64 (PI.f64) #s(literal 1/4 binary64))))) (*.f64 (PI.f64) #s(literal 1/4 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/16 binary64)) (*.f64 (log.f64 (tanh.f64 (*.f64 f (*.f64 (PI.f64) #s(literal 1/4 binary64))))) (*.f64 (PI.f64) #s(literal 1/4 binary64)))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (PI.f64) #s(literal -1/4 binary64)) (/.f64 (*.f64 (*.f64 (PI.f64) #s(literal -1/4 binary64)) (log.f64 (tanh.f64 (*.f64 f (*.f64 (PI.f64) #s(literal 1/4 binary64)))))) (*.f64 (PI.f64) #s(literal 1/4 binary64)))))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/16 binary64)) (*.f64 (log.f64 (tanh.f64 (*.f64 f (*.f64 (PI.f64) #s(literal 1/4 binary64))))) (*.f64 (PI.f64) #s(literal 1/4 binary64)))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/16 binary64)) (*.f64 (log.f64 (tanh.f64 (*.f64 f (*.f64 (PI.f64) #s(literal 1/4 binary64))))) (*.f64 (PI.f64) #s(literal 1/4 binary64))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/16 binary64)) (*.f64 (log.f64 (tanh.f64 (*.f64 f (*.f64 (PI.f64) #s(literal 1/4 binary64))))) (*.f64 (PI.f64) #s(literal 1/4 binary64)))) #s(literal 1 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 (PI.f64) #s(literal -1/4 binary64)) (/.f64 (*.f64 (*.f64 (PI.f64) #s(literal -1/4 binary64)) (log.f64 (tanh.f64 (*.f64 f (*.f64 (PI.f64) #s(literal 1/4 binary64)))))) (*.f64 (PI.f64) #s(literal 1/4 binary64))))))
(/.f64 (pow.f64 (*.f64 (*.f64 (PI.f64) #s(literal -1/4 binary64)) (log.f64 (tanh.f64 (*.f64 f (*.f64 (PI.f64) #s(literal 1/4 binary64)))))) #s(literal 3 binary64)) (neg.f64 (pow.f64 (*.f64 (*.f64 (PI.f64) #s(literal -1/4 binary64)) (*.f64 (*.f64 (PI.f64) #s(literal -1/4 binary64)) (log.f64 (tanh.f64 (*.f64 f (*.f64 (PI.f64) #s(literal 1/4 binary64))))))) #s(literal 2 binary64))))
(/.f64 (pow.f64 (*.f64 (log.f64 (tanh.f64 (*.f64 f (*.f64 (PI.f64) #s(literal 1/4 binary64))))) (*.f64 (PI.f64) #s(literal 1/4 binary64))) #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 (PI.f64) #s(literal -1/4 binary64)) (*.f64 (*.f64 (PI.f64) #s(literal -1/4 binary64)) (log.f64 (tanh.f64 (*.f64 f (*.f64 (PI.f64) #s(literal 1/4 binary64))))))) #s(literal 2 binary64)))
(/.f64 (neg.f64 (pow.f64 (*.f64 (*.f64 (PI.f64) #s(literal -1/4 binary64)) (log.f64 (tanh.f64 (*.f64 f (*.f64 (PI.f64) #s(literal 1/4 binary64)))))) #s(literal 2 binary64))) (*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/16 binary64)) (*.f64 (*.f64 (PI.f64) #s(literal -1/4 binary64)) (log.f64 (tanh.f64 (*.f64 f (*.f64 (PI.f64) #s(literal 1/4 binary64))))))))
(/.f64 (/.f64 (*.f64 (*.f64 (PI.f64) #s(literal -1/4 binary64)) (log.f64 (tanh.f64 (*.f64 f (*.f64 (PI.f64) #s(literal 1/4 binary64)))))) (*.f64 (PI.f64) #s(literal 1/4 binary64))) (*.f64 (PI.f64) #s(literal -1/4 binary64)))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/16 binary64))) (*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/16 binary64)) (*.f64 (*.f64 (PI.f64) #s(literal -1/4 binary64)) (log.f64 (tanh.f64 (*.f64 f (*.f64 (PI.f64) #s(literal 1/4 binary64)))))))) (*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/16 binary64)) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/16 binary64))))
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(/.f64 (neg.f64 (+.f64 (exp.f64 (*.f64 (*.f64 f (*.f64 (PI.f64) #s(literal 1/4 binary64))) #s(literal 3 binary64))) (exp.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (PI.f64) f)) #s(literal 3 binary64))))) (neg.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 f (*.f64 (PI.f64) #s(literal 1/4 binary64))))) (+.f64 (exp.f64 (*.f64 f (*.f64 (PI.f64) #s(literal 1/2 binary64)))) (expm1.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (PI.f64) f)))))))
(/.f64 (neg.f64 (-.f64 (exp.f64 (*.f64 f (*.f64 (PI.f64) #s(literal 1/2 binary64)))) (exp.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (PI.f64) f))))) (neg.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 f (*.f64 (PI.f64) #s(literal 1/4 binary64))))) #s(literal 2 binary64))))
(/.f64 (neg.f64 (*.f64 #s(literal -2 binary64) (cosh.f64 (*.f64 f (*.f64 (PI.f64) #s(literal 1/4 binary64)))))) (neg.f64 (*.f64 #s(literal -2 binary64) (sinh.f64 (*.f64 f (*.f64 (PI.f64) #s(literal 1/4 binary64)))))))
(/.f64 (neg.f64 (cosh.f64 (*.f64 f (*.f64 (PI.f64) #s(literal 1/4 binary64))))) (neg.f64 (sinh.f64 (*.f64 f (*.f64 (PI.f64) #s(literal 1/4 binary64))))))
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 f (*.f64 (PI.f64) #s(literal 1/4 binary64)))))) (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 f (*.f64 (PI.f64) #s(literal 1/4 binary64))))))
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) (cosh.f64 (*.f64 f (*.f64 (PI.f64) #s(literal 1/4 binary64)))))) (*.f64 #s(literal -2 binary64) (sinh.f64 (*.f64 f (*.f64 (PI.f64) #s(literal 1/4 binary64))))))
(/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 f (*.f64 (PI.f64) #s(literal 1/4 binary64))))) #s(literal 1 binary64)) (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 f (*.f64 (PI.f64) #s(literal 1/4 binary64))))))
(/.f64 (*.f64 (+.f64 (exp.f64 (*.f64 (*.f64 f (*.f64 (PI.f64) #s(literal 1/4 binary64))) #s(literal 3 binary64))) (exp.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (PI.f64) f)) #s(literal 3 binary64)))) (/.f64 #s(literal 1/2 binary64) (sinh.f64 (*.f64 f (*.f64 (PI.f64) #s(literal 1/4 binary64)))))) (+.f64 (exp.f64 (*.f64 f (*.f64 (PI.f64) #s(literal 1/2 binary64)))) (expm1.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (PI.f64) f)))))
(/.f64 (neg.f64 (neg.f64 (*.f64 #s(literal -2 binary64) (cosh.f64 (*.f64 f (*.f64 (PI.f64) #s(literal 1/4 binary64))))))) (neg.f64 (neg.f64 (*.f64 #s(literal -2 binary64) (sinh.f64 (*.f64 f (*.f64 (PI.f64) #s(literal 1/4 binary64))))))))
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 f (*.f64 (PI.f64) #s(literal 1/4 binary64))))))) (*.f64 #s(literal -2 binary64) (sinh.f64 (*.f64 f (*.f64 (PI.f64) #s(literal 1/4 binary64))))))
(/.f64 (neg.f64 (*.f64 (+.f64 (exp.f64 (*.f64 (*.f64 f (*.f64 (PI.f64) #s(literal 1/4 binary64))) #s(literal 3 binary64))) (exp.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (PI.f64) f)) #s(literal 3 binary64)))) #s(literal 1 binary64))) (neg.f64 (*.f64 (+.f64 (exp.f64 (*.f64 f (*.f64 (PI.f64) #s(literal 1/2 binary64)))) (expm1.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (PI.f64) f)))) (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 f (*.f64 (PI.f64) #s(literal 1/4 binary64))))))))
(/.f64 (neg.f64 (*.f64 (-.f64 (exp.f64 (*.f64 f (*.f64 (PI.f64) #s(literal 1/2 binary64)))) (exp.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (PI.f64) f)))) #s(literal 1 binary64))) (neg.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 f (*.f64 (PI.f64) #s(literal 1/4 binary64))))) #s(literal 2 binary64))))
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) (cosh.f64 (*.f64 f (*.f64 (PI.f64) #s(literal 1/4 binary64))))))) (neg.f64 (*.f64 #s(literal -2 binary64) (sinh.f64 (*.f64 f (*.f64 (PI.f64) #s(literal 1/4 binary64)))))))
(/.f64 (neg.f64 (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 f (*.f64 (PI.f64) #s(literal 1/4 binary64))))) #s(literal 1 binary64))) (*.f64 #s(literal -2 binary64) (sinh.f64 (*.f64 f (*.f64 (PI.f64) #s(literal 1/4 binary64))))))
(/.f64 (neg.f64 (*.f64 (+.f64 (exp.f64 (*.f64 (*.f64 f (*.f64 (PI.f64) #s(literal 1/4 binary64))) #s(literal 3 binary64))) (exp.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (PI.f64) f)) #s(literal 3 binary64)))) (/.f64 #s(literal 1/2 binary64) (sinh.f64 (*.f64 f (*.f64 (PI.f64) #s(literal 1/4 binary64))))))) (neg.f64 (+.f64 (exp.f64 (*.f64 f (*.f64 (PI.f64) #s(literal 1/2 binary64)))) (expm1.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (PI.f64) f))))))
(pow.f64 (tanh.f64 (*.f64 f (*.f64 (PI.f64) #s(literal 1/4 binary64)))) #s(literal -1 binary64))
(pow.f64 (neg.f64 (neg.f64 (tanh.f64 (*.f64 f (*.f64 (PI.f64) #s(literal 1/4 binary64)))))) #s(literal -1 binary64))
(pow.f64 (pow.f64 (tanh.f64 (*.f64 f (*.f64 (PI.f64) #s(literal 1/4 binary64)))) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 (tanh.f64 (*.f64 f (*.f64 (PI.f64) #s(literal 1/4 binary64)))) (tanh.f64 (*.f64 f (*.f64 (PI.f64) #s(literal 1/4 binary64))))) #s(literal -1/2 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (tanh.f64 (*.f64 f (*.f64 (PI.f64) #s(literal 1/4 binary64))))))
(*.f64 #s(literal 2 binary64) (*.f64 (cosh.f64 (*.f64 f (*.f64 (PI.f64) #s(literal 1/4 binary64)))) (/.f64 #s(literal 1/2 binary64) (sinh.f64 (*.f64 f (*.f64 (PI.f64) #s(literal 1/4 binary64)))))))
(*.f64 #s(literal 2 binary64) (/.f64 (cosh.f64 (*.f64 f (*.f64 (PI.f64) #s(literal 1/4 binary64)))) (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 f (*.f64 (PI.f64) #s(literal 1/4 binary64)))))))
(*.f64 #s(literal 1/2 binary64) (pow.f64 (/.f64 (sinh.f64 (*.f64 f (*.f64 (PI.f64) #s(literal 1/4 binary64)))) (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 f (*.f64 (PI.f64) #s(literal 1/4 binary64)))))) #s(literal -1 binary64)))
(*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 f (*.f64 (PI.f64) #s(literal 1/4 binary64))))) (/.f64 #s(literal 1/2 binary64) (sinh.f64 (*.f64 f (*.f64 (PI.f64) #s(literal 1/4 binary64))))))
(*.f64 (/.f64 #s(literal 1 binary64) (tanh.f64 (*.f64 f (*.f64 (PI.f64) #s(literal 1/4 binary64))))) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (tanh.f64 (*.f64 f (*.f64 (PI.f64) #s(literal 1/4 binary64))))))
(*.f64 (*.f64 #s(literal -2 binary64) (cosh.f64 (*.f64 f (*.f64 (PI.f64) #s(literal 1/4 binary64))))) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) (sinh.f64 (*.f64 f (*.f64 (PI.f64) #s(literal 1/4 binary64)))))))
(*.f64 (/.f64 #s(literal 1/2 binary64) (sinh.f64 (*.f64 f (*.f64 (PI.f64) #s(literal 1/4 binary64))))) (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 f (*.f64 (PI.f64) #s(literal 1/4 binary64))))))
(*.f64 (/.f64 #s(literal 1/2 binary64) (sinh.f64 (*.f64 f (*.f64 (PI.f64) #s(literal 1/4 binary64))))) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 f (*.f64 (PI.f64) #s(literal 1/4 binary64)))))) #s(literal -1 binary64)))
(*.f64 (/.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 f (*.f64 (PI.f64) #s(literal 1/4 binary64))))) (-.f64 (exp.f64 (*.f64 f (*.f64 (PI.f64) #s(literal 1/2 binary64)))) (exp.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (PI.f64) f))))) (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 f (*.f64 (PI.f64) #s(literal 1/4 binary64))))))
(*.f64 (pow.f64 (tanh.f64 (*.f64 f (*.f64 (PI.f64) #s(literal 1/4 binary64)))) #s(literal -1/2 binary64)) (pow.f64 (tanh.f64 (*.f64 f (*.f64 (PI.f64) #s(literal 1/4 binary64)))) #s(literal -1/2 binary64)))
(*.f64 (*.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 f (*.f64 (PI.f64) #s(literal 1/4 binary64)))))) (/.f64 #s(literal 1/2 binary64) (sinh.f64 (*.f64 f (*.f64 (PI.f64) #s(literal 1/4 binary64))))))
(*.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 f (*.f64 (PI.f64) #s(literal 1/2 binary64))))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 f (*.f64 (PI.f64) #s(literal 1/2 binary64))))))
(*.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 f (*.f64 (PI.f64) #s(literal 1/2 binary64))))) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 f (*.f64 (PI.f64) #s(literal 1/2 binary64)))))) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (PI.f64) f))))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (PI.f64) f)))))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (PI.f64) f))))) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (PI.f64) f))))) #s(literal -1 binary64)))
(*.f64 (/.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 f (*.f64 (PI.f64) #s(literal 1/4 binary64))))) (-.f64 (exp.f64 (*.f64 (*.f64 f (*.f64 (PI.f64) #s(literal 1/4 binary64))) #s(literal 3 binary64))) (exp.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (PI.f64) f)) #s(literal 3 binary64))))) (+.f64 (exp.f64 (*.f64 f (*.f64 (PI.f64) #s(literal 1/2 binary64)))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (PI.f64) f))))))
(*.f64 (pow.f64 (/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 f (*.f64 (PI.f64) #s(literal 1/4 binary64))))) (+.f64 (exp.f64 (*.f64 (*.f64 f (*.f64 (PI.f64) #s(literal 1/4 binary64))) #s(literal 3 binary64))) (exp.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (PI.f64) f)) #s(literal 3 binary64))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 f (*.f64 (PI.f64) #s(literal 1/2 binary64)))) (expm1.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (PI.f64) f))))))
(*.f64 (PI.f64) f)
(*.f64 f (PI.f64))
(*.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) f))
(*.f64 #s(literal 1 binary64) (*.f64 (PI.f64) f))
(*.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (*.f64 (cbrt.f64 (PI.f64)) f))
(*.f64 (*.f64 f (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)))
(*.f64 (*.f64 f #s(literal 1 binary64)) (PI.f64))
(*.f64 (*.f64 f (pow.f64 (PI.f64) #s(literal 2/3 binary64))) (cbrt.f64 (PI.f64)))

eval466.0ms (2.6%)

Memory
-6.6MiB live, 455.2MiB allocated
Compiler

Compiled 53 119 to 6 224 computations (88.3% saved)

prune490.0ms (2.8%)

Memory
-11.0MiB live, 522.2MiB allocated
Pruning

25 alts after pruning (23 fresh and 2 done)

PrunedKeptTotal
New1 848171 865
Fresh14620
Picked415
Done011
Total1 866251 891
Accuracy
99.9%
Counts
1 891 → 25
Alt Table
Click to see full alt table
StatusAccuracyProgram
96.6%
(fma.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (log.f64 (*.f64 (tanh.f64 (*.f64 f (*.f64 (PI.f64) #s(literal 1/4 binary64)))) #s(literal 2 binary64))) (/.f64 (log.f64 #s(literal 2 binary64)) (*.f64 (PI.f64) #s(literal -1/4 binary64))))
96.4%
(fma.f64 (log.f64 #s(literal 2 binary64)) (/.f64 #s(literal -4 binary64) (PI.f64)) (*.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (log.f64 (*.f64 (tanh.f64 (*.f64 f (*.f64 (PI.f64) #s(literal 1/4 binary64)))) #s(literal 2 binary64)))))
8.8%
(/.f64 (-.f64 (log1p.f64 (neg.f64 (exp.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f)) #s(literal -2 binary64))))) (log1p.f64 (exp.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f)) #s(literal -2 binary64))))) (*.f64 (PI.f64) #s(literal 1/4 binary64)))
98.2%
(/.f64 (-.f64 (log.f64 #s(literal 1/2 binary64)) (neg.f64 (log.f64 (*.f64 (tanh.f64 (*.f64 f (*.f64 (PI.f64) #s(literal 1/4 binary64)))) #s(literal 2 binary64))))) (*.f64 (PI.f64) #s(literal 1/4 binary64)))
98.1%
(/.f64 (*.f64 (*.f64 (PI.f64) #s(literal -1/4 binary64)) (log.f64 (tanh.f64 (*.f64 f (*.f64 (PI.f64) #s(literal 1/4 binary64)))))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal -1/16 binary64)))
95.4%
(/.f64 (*.f64 (log.f64 #s(approx (tanh (* (* (PI) 1/4) f)) (*.f64 f (*.f64 (PI.f64) #s(literal 1/4 binary64))))) (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (PI.f64)))
97.1%
(/.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (*.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))) #s(literal 1/4 binary64)))
98.2%
(/.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (*.f64 (PI.f64) #s(literal 1/4 binary64)))
95.7%
(/.f64 (log.f64 #s(approx (tanh (* (* (PI) 1/4) f)) (/.f64 f (/.f64 #s(literal 4 binary64) (PI.f64))))) (*.f64 (PI.f64) #s(literal 1/4 binary64)))
95.6%
(/.f64 (log.f64 #s(approx (tanh (* (* (PI) 1/4) f)) (*.f64 f (*.f64 #s(literal 1/4 binary64) (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))))))) (*.f64 (PI.f64) #s(literal 1/4 binary64)))
95.1%
(/.f64 (log.f64 #s(approx (tanh (* (* (PI) 1/4) f)) (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64))))) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64)))) #s(literal 1/4 binary64)))
94.6%
(/.f64 (log.f64 #s(approx (tanh (* (* (PI) 1/4) f)) (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64))))) (*.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))) #s(literal 1/4 binary64)))
95.7%
(/.f64 (log.f64 #s(approx (tanh (* (* (PI) 1/4) f)) (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64))))) (*.f64 (PI.f64) #s(literal 1/4 binary64)))
95.6%
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) (log.f64 #s(approx (tanh (* (* (PI) 1/4) f)) (*.f64 f (*.f64 (PI.f64) #s(literal 1/4 binary64)))))))
95.5%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/4 binary64) (/.f64 (log.f64 #s(approx (tanh (* (* (PI) 1/4) f)) (*.f64 f (*.f64 (PI.f64) #s(literal 1/4 binary64))))) (PI.f64))))
95.6%
(*.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (log.f64 #s(approx (tanh (* (* (PI) 1/4) f)) (*.f64 f (*.f64 (PI.f64) #s(literal 1/4 binary64))))))
96.4%
(neg.f64 (fma.f64 (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64))) (/.f64 (neg.f64 (log.f64 (*.f64 (tanh.f64 (*.f64 f (*.f64 (PI.f64) #s(literal 1/4 binary64)))) #s(literal 2 binary64)))) (sqrt.f64 (PI.f64))) (/.f64 (log.f64 #s(literal 2 binary64)) (*.f64 (PI.f64) #s(literal 1/4 binary64)))))
96.7%
(neg.f64 (/.f64 (fma.f64 (/.f64 (log.f64 #s(literal 2 binary64)) (PI.f64)) (PI.f64) (*.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 4 binary64) (neg.f64 (log.f64 (*.f64 (tanh.f64 (*.f64 f (*.f64 (PI.f64) #s(literal 1/4 binary64)))) #s(literal 2 binary64))))))) (*.f64 (PI.f64) #s(literal 1/4 binary64))))
96.7%
(neg.f64 (/.f64 (fma.f64 (*.f64 #s(literal 4 binary64) (neg.f64 (log.f64 (*.f64 (tanh.f64 (*.f64 f (*.f64 (PI.f64) #s(literal 1/4 binary64)))) #s(literal 2 binary64))))) (*.f64 (PI.f64) #s(literal 1/4 binary64)) (*.f64 (PI.f64) (log.f64 #s(literal 2 binary64)))) (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64)))))
98.1%
(neg.f64 (*.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (log.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (tanh.f64 (*.f64 f (*.f64 (PI.f64) #s(literal 1/4 binary64))))) #s(literal 2 binary64)))))
95.9%
(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 f (*.f64 f (fma.f64 (*.f64 #s(literal 1/192 binary64) (*.f64 #s(literal 2 binary64) (+.f64 (PI.f64) (PI.f64)))) #s(literal -2 binary64) (*.f64 #s(literal 1/16 binary64) (+.f64 (PI.f64) (PI.f64))))) (/.f64 #s(literal 4 binary64) (PI.f64))) f)))))
95.6%
(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 (/.f64 #s(literal 2 binary64) f) (*.f64 (PI.f64) #s(literal 1/2 binary64)))))))
94.2%
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 1/4 binary64) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)))) (log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) #s(approx (/ 2 (* f (* (PI) 1/2))) (/.f64 #s(literal 4 binary64) (*.f64 f (PI.f64))))))))
95.0%
(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 f (*.f64 (PI.f64) #s(literal 1/2 binary64))))))))
95.7%
#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 900 to 638 computations (29.1% saved)

simplify198.0ms (1.1%)

Memory
23.6MiB live, 217.9MiB allocated
Algorithm
egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))
cost-diff0
(log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))
cost-diff0
(/.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (*.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))) #s(literal 1/4 binary64)))
cost-diff1600
(*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)))
cost-diff0
(*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))
cost-diff0
#s(approx (tanh (* (* (PI) 1/4) f)) (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64))))
cost-diff0
(log.f64 #s(approx (tanh (* (* (PI) 1/4) f)) (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))))
cost-diff0
(/.f64 (log.f64 #s(approx (tanh (* (* (PI) 1/4) f)) (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64))))) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64)))) #s(literal 1/4 binary64)))
cost-diff0
#s(approx (tanh (* (* (PI) 1/4) f)) (*.f64 f (*.f64 #s(literal 1/4 binary64) (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))))))
cost-diff0
(log.f64 #s(approx (tanh (* (* (PI) 1/4) f)) (*.f64 f (*.f64 #s(literal 1/4 binary64) (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)))))))
cost-diff0
(/.f64 (log.f64 #s(approx (tanh (* (* (PI) 1/4) f)) (*.f64 f (*.f64 #s(literal 1/4 binary64) (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))))))) (*.f64 (PI.f64) #s(literal 1/4 binary64)))
cost-diff1600
(*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)))
cost-diff0
(log.f64 #s(approx (tanh (* (* (PI) 1/4) f)) (*.f64 f (*.f64 (PI.f64) #s(literal 1/4 binary64)))))
cost-diff0
(PI.f64)
cost-diff0
(/.f64 #s(literal 4 binary64) (PI.f64))
cost-diff0
(*.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (log.f64 #s(approx (tanh (* (* (PI) 1/4) f)) (*.f64 f (*.f64 (PI.f64) #s(literal 1/4 binary64))))))
cost-diff0
(neg.f64 (log.f64 (*.f64 (tanh.f64 (*.f64 f (*.f64 (PI.f64) #s(literal 1/4 binary64)))) #s(literal 2 binary64))))
cost-diff0
(log.f64 #s(literal 1/2 binary64))
cost-diff0
(/.f64 (-.f64 (log.f64 #s(literal 1/2 binary64)) (neg.f64 (log.f64 (*.f64 (tanh.f64 (*.f64 f (*.f64 (PI.f64) #s(literal 1/4 binary64)))) #s(literal 2 binary64))))) (*.f64 (PI.f64) #s(literal 1/4 binary64)))
cost-diff128
(-.f64 (log.f64 #s(literal 1/2 binary64)) (neg.f64 (log.f64 (*.f64 (tanh.f64 (*.f64 f (*.f64 (PI.f64) #s(literal 1/4 binary64)))) #s(literal 2 binary64)))))
Rules
3 556×lower-fma.f64
3 556×lower-fma.f32
2 694×lower-*.f32
2 674×lower-*.f64
1 496×lower-/.f32
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
045366
079330
1166328
2381328
3898328
41936328
53344328
64912328
77206328
08023328
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(/.f64 (-.f64 (log.f64 #s(literal 1/2 binary64)) (neg.f64 (log.f64 (*.f64 (tanh.f64 (*.f64 f (*.f64 (PI.f64) #s(literal 1/4 binary64)))) #s(literal 2 binary64))))) (*.f64 (PI.f64) #s(literal 1/4 binary64)))
(-.f64 (log.f64 #s(literal 1/2 binary64)) (neg.f64 (log.f64 (*.f64 (tanh.f64 (*.f64 f (*.f64 (PI.f64) #s(literal 1/4 binary64)))) #s(literal 2 binary64)))))
(log.f64 #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
(neg.f64 (log.f64 (*.f64 (tanh.f64 (*.f64 f (*.f64 (PI.f64) #s(literal 1/4 binary64)))) #s(literal 2 binary64))))
(log.f64 (*.f64 (tanh.f64 (*.f64 f (*.f64 (PI.f64) #s(literal 1/4 binary64)))) #s(literal 2 binary64)))
(*.f64 (tanh.f64 (*.f64 f (*.f64 (PI.f64) #s(literal 1/4 binary64)))) #s(literal 2 binary64))
(tanh.f64 (*.f64 f (*.f64 (PI.f64) #s(literal 1/4 binary64))))
(*.f64 f (*.f64 (PI.f64) #s(literal 1/4 binary64)))
f
(*.f64 (PI.f64) #s(literal 1/4 binary64))
(PI.f64)
#s(literal 1/4 binary64)
#s(literal 2 binary64)
(*.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (log.f64 #s(approx (tanh (* (* (PI) 1/4) f)) (*.f64 f (*.f64 (PI.f64) #s(literal 1/4 binary64))))))
(/.f64 #s(literal 4 binary64) (PI.f64))
#s(literal 4 binary64)
(PI.f64)
(log.f64 #s(approx (tanh (* (* (PI) 1/4) f)) (*.f64 f (*.f64 (PI.f64) #s(literal 1/4 binary64)))))
#s(approx (tanh (* (* (PI) 1/4) f)) (*.f64 f (*.f64 (PI.f64) #s(literal 1/4 binary64))))
(*.f64 f (*.f64 (PI.f64) #s(literal 1/4 binary64)))
f
(*.f64 (PI.f64) #s(literal 1/4 binary64))
#s(literal 1/4 binary64)
(/.f64 (log.f64 #s(approx (tanh (* (* (PI) 1/4) f)) (*.f64 f (*.f64 #s(literal 1/4 binary64) (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))))))) (*.f64 (PI.f64) #s(literal 1/4 binary64)))
(log.f64 #s(approx (tanh (* (* (PI) 1/4) f)) (*.f64 f (*.f64 #s(literal 1/4 binary64) (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)))))))
#s(approx (tanh (* (* (PI) 1/4) f)) (*.f64 f (*.f64 #s(literal 1/4 binary64) (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))))))
(*.f64 f (*.f64 #s(literal 1/4 binary64) (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)))))
f
(*.f64 #s(literal 1/4 binary64) (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))))
#s(literal 1/4 binary64)
(*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)))
(sqrt.f64 (PI.f64))
(PI.f64)
(*.f64 (PI.f64) #s(literal 1/4 binary64))
(/.f64 (log.f64 #s(approx (tanh (* (* (PI) 1/4) f)) (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64))))) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64)))) #s(literal 1/4 binary64)))
(log.f64 #s(approx (tanh (* (* (PI) 1/4) f)) (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))))
#s(approx (tanh (* (* (PI) 1/4) f)) (*.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 (*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64)))) #s(literal 1/4 binary64))
(*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64))))
(sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64))))
(*.f64 (PI.f64) (sqrt.f64 (PI.f64)))
(sqrt.f64 (PI.f64))
(sqrt.f64 (sqrt.f64 (PI.f64)))
(/.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (*.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))) #s(literal 1/4 binary64)))
(log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))
(tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))
(*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)
(*.f64 (PI.f64) #s(literal 1/4 binary64))
(PI.f64)
#s(literal 1/4 binary64)
f
(*.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))) #s(literal 1/4 binary64))
(*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)))
(sqrt.f64 (PI.f64))
Outputs
(/.f64 (-.f64 (log.f64 #s(literal 1/2 binary64)) (neg.f64 (log.f64 (*.f64 (tanh.f64 (*.f64 f (*.f64 (PI.f64) #s(literal 1/4 binary64)))) #s(literal 2 binary64))))) (*.f64 (PI.f64) #s(literal 1/4 binary64)))
(/.f64 (+.f64 (log.f64 #s(literal 1/2 binary64)) (log.f64 (*.f64 #s(literal 2 binary64) (tanh.f64 (*.f64 f (*.f64 (PI.f64) #s(literal 1/4 binary64))))))) (*.f64 (PI.f64) #s(literal 1/4 binary64)))
(-.f64 (log.f64 #s(literal 1/2 binary64)) (neg.f64 (log.f64 (*.f64 (tanh.f64 (*.f64 f (*.f64 (PI.f64) #s(literal 1/4 binary64)))) #s(literal 2 binary64)))))
(+.f64 (log.f64 #s(literal 1/2 binary64)) (log.f64 (*.f64 #s(literal 2 binary64) (tanh.f64 (*.f64 f (*.f64 (PI.f64) #s(literal 1/4 binary64)))))))
(log.f64 #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
(neg.f64 (log.f64 (*.f64 (tanh.f64 (*.f64 f (*.f64 (PI.f64) #s(literal 1/4 binary64)))) #s(literal 2 binary64))))
(neg.f64 (log.f64 (*.f64 #s(literal 2 binary64) (tanh.f64 (*.f64 f (*.f64 (PI.f64) #s(literal 1/4 binary64)))))))
(log.f64 (*.f64 (tanh.f64 (*.f64 f (*.f64 (PI.f64) #s(literal 1/4 binary64)))) #s(literal 2 binary64)))
(log.f64 (*.f64 #s(literal 2 binary64) (tanh.f64 (*.f64 f (*.f64 (PI.f64) #s(literal 1/4 binary64))))))
(*.f64 (tanh.f64 (*.f64 f (*.f64 (PI.f64) #s(literal 1/4 binary64)))) #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) (tanh.f64 (*.f64 f (*.f64 (PI.f64) #s(literal 1/4 binary64)))))
(tanh.f64 (*.f64 f (*.f64 (PI.f64) #s(literal 1/4 binary64))))
(*.f64 f (*.f64 (PI.f64) #s(literal 1/4 binary64)))
f
(*.f64 (PI.f64) #s(literal 1/4 binary64))
(PI.f64)
#s(literal 1/4 binary64)
#s(literal 2 binary64)
(*.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (log.f64 #s(approx (tanh (* (* (PI) 1/4) f)) (*.f64 f (*.f64 (PI.f64) #s(literal 1/4 binary64))))))
(/.f64 (log.f64 #s(approx (tanh (* (* (PI) 1/4) f)) (*.f64 f (*.f64 (PI.f64) #s(literal 1/4 binary64))))) (*.f64 (PI.f64) #s(literal 1/4 binary64)))
(/.f64 #s(literal 4 binary64) (PI.f64))
#s(literal 4 binary64)
(PI.f64)
(log.f64 #s(approx (tanh (* (* (PI) 1/4) f)) (*.f64 f (*.f64 (PI.f64) #s(literal 1/4 binary64)))))
#s(approx (tanh (* (* (PI) 1/4) f)) (*.f64 f (*.f64 (PI.f64) #s(literal 1/4 binary64))))
(*.f64 f (*.f64 (PI.f64) #s(literal 1/4 binary64)))
f
(*.f64 (PI.f64) #s(literal 1/4 binary64))
#s(literal 1/4 binary64)
(/.f64 (log.f64 #s(approx (tanh (* (* (PI) 1/4) f)) (*.f64 f (*.f64 #s(literal 1/4 binary64) (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))))))) (*.f64 (PI.f64) #s(literal 1/4 binary64)))
(/.f64 (log.f64 #s(approx (tanh (* (* (PI) 1/4) f)) (*.f64 f (*.f64 (PI.f64) #s(literal 1/4 binary64))))) (*.f64 (PI.f64) #s(literal 1/4 binary64)))
(log.f64 #s(approx (tanh (* (* (PI) 1/4) f)) (*.f64 f (*.f64 #s(literal 1/4 binary64) (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)))))))
(log.f64 #s(approx (tanh (* (* (PI) 1/4) f)) (*.f64 f (*.f64 (PI.f64) #s(literal 1/4 binary64)))))
#s(approx (tanh (* (* (PI) 1/4) f)) (*.f64 f (*.f64 #s(literal 1/4 binary64) (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))))))
#s(approx (tanh (* (* (PI) 1/4) f)) (*.f64 f (*.f64 (PI.f64) #s(literal 1/4 binary64))))
(*.f64 f (*.f64 #s(literal 1/4 binary64) (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)))))
(*.f64 f (*.f64 (PI.f64) #s(literal 1/4 binary64)))
f
(*.f64 #s(literal 1/4 binary64) (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))))
(*.f64 (PI.f64) #s(literal 1/4 binary64))
#s(literal 1/4 binary64)
(*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)))
(PI.f64)
(sqrt.f64 (PI.f64))
(PI.f64)
(*.f64 (PI.f64) #s(literal 1/4 binary64))
(/.f64 (log.f64 #s(approx (tanh (* (* (PI) 1/4) f)) (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64))))) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64)))) #s(literal 1/4 binary64)))
(/.f64 (log.f64 #s(approx (tanh (* (* (PI) 1/4) f)) (*.f64 f (*.f64 (PI.f64) #s(literal 1/4 binary64))))) (*.f64 #s(literal 1/4 binary64) (*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64))))))
(log.f64 #s(approx (tanh (* (* (PI) 1/4) f)) (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))))
(log.f64 #s(approx (tanh (* (* (PI) 1/4) f)) (*.f64 f (*.f64 (PI.f64) #s(literal 1/4 binary64)))))
#s(approx (tanh (* (* (PI) 1/4) f)) (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64))))
#s(approx (tanh (* (* (PI) 1/4) f)) (*.f64 f (*.f64 (PI.f64) #s(literal 1/4 binary64))))
(*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))
(*.f64 f (*.f64 (PI.f64) #s(literal 1/4 binary64)))
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 (*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64)))) #s(literal 1/4 binary64))
(*.f64 #s(literal 1/4 binary64) (*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64)))))
(*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64))))
(sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64))))
(*.f64 (PI.f64) (sqrt.f64 (PI.f64)))
(sqrt.f64 (PI.f64))
(sqrt.f64 (sqrt.f64 (PI.f64)))
(/.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (*.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))) #s(literal 1/4 binary64)))
(/.f64 (log.f64 (tanh.f64 (*.f64 f (*.f64 (PI.f64) #s(literal 1/4 binary64))))) (*.f64 (PI.f64) #s(literal 1/4 binary64)))
(log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))
(log.f64 (tanh.f64 (*.f64 f (*.f64 (PI.f64) #s(literal 1/4 binary64)))))
(tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))
(tanh.f64 (*.f64 f (*.f64 (PI.f64) #s(literal 1/4 binary64))))
(*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)
(*.f64 f (*.f64 (PI.f64) #s(literal 1/4 binary64)))
(*.f64 (PI.f64) #s(literal 1/4 binary64))
(PI.f64)
#s(literal 1/4 binary64)
f
(*.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))) #s(literal 1/4 binary64))
(*.f64 (PI.f64) #s(literal 1/4 binary64))
(*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)))
(PI.f64)
(sqrt.f64 (PI.f64))

localize207.0ms (1.2%)

Memory
-17.1MiB live, 183.9MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0.3125
(/.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (*.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))) #s(literal 1/4 binary64)))
accuracy0.8447057462687569
(log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))
accuracy1.0
(*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)))
accuracy1.0
(sqrt.f64 (PI.f64))
accuracy0.8447057462687569
(log.f64 #s(approx (tanh (* (* (PI) 1/4) f)) (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))))
accuracy1.0
(*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64))))
accuracy1.0
(sqrt.f64 (PI.f64))
accuracy2.219542999826063
#s(approx (tanh (* (* (PI) 1/4) f)) (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64))))
accuracy0.8447057462687569
(log.f64 #s(approx (tanh (* (* (PI) 1/4) f)) (*.f64 f (*.f64 #s(literal 1/4 binary64) (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)))))))
accuracy1.0
(*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)))
accuracy1.0
(sqrt.f64 (PI.f64))
accuracy2.219542999826063
#s(approx (tanh (* (* (PI) 1/4) f)) (*.f64 f (*.f64 #s(literal 1/4 binary64) (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))))))
accuracy0.25390625
(*.f64 f (*.f64 (PI.f64) #s(literal 1/4 binary64)))
accuracy0.3828125
(*.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (log.f64 #s(approx (tanh (* (* (PI) 1/4) f)) (*.f64 f (*.f64 (PI.f64) #s(literal 1/4 binary64))))))
accuracy0.8447057462687569
(log.f64 #s(approx (tanh (* (* (PI) 1/4) f)) (*.f64 f (*.f64 (PI.f64) #s(literal 1/4 binary64)))))
accuracy2.219542999826063
#s(approx (tanh (* (* (PI) 1/4) f)) (*.f64 f (*.f64 (PI.f64) #s(literal 1/4 binary64))))
accuracy0.01171875
(log.f64 (*.f64 (tanh.f64 (*.f64 f (*.f64 (PI.f64) #s(literal 1/4 binary64)))) #s(literal 2 binary64)))
accuracy0.25390625
(*.f64 f (*.f64 (PI.f64) #s(literal 1/4 binary64)))
accuracy0.3125
(/.f64 (-.f64 (log.f64 #s(literal 1/2 binary64)) (neg.f64 (log.f64 (*.f64 (tanh.f64 (*.f64 f (*.f64 (PI.f64) #s(literal 1/4 binary64)))) #s(literal 2 binary64))))) (*.f64 (PI.f64) #s(literal 1/4 binary64)))
accuracy1.0257289002350558
(-.f64 (log.f64 #s(literal 1/2 binary64)) (neg.f64 (log.f64 (*.f64 (tanh.f64 (*.f64 f (*.f64 (PI.f64) #s(literal 1/4 binary64)))) #s(literal 2 binary64)))))
Samples
99.0ms249×0valid
5.0ms2valid
2.0ms1valid
Compiler

Compiled 302 to 37 computations (87.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 85.0ms
ival-mult: 44.0ms (51.6% of total)
ival-div: 17.0ms (19.9% of total)
ival-log: 11.0ms (12.9% of total)
ival-sqrt: 5.0ms (5.9% of total)
ival-tanh: 3.0ms (3.5% of total)
ival-pi: 1.0ms (1.2% of total)
ival-sub: 1.0ms (1.2% of total)
ival-neg: 1.0ms (1.2% of total)
exact: 1.0ms (1.2% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series131.0ms (0.7%)

Memory
21.0MiB live, 96.0MiB allocated
Counts
24 → 216
Calls
Call 1
Inputs
#s(alt (-.f64 (log.f64 #s(literal 1/2 binary64)) (neg.f64 (log.f64 (*.f64 (tanh.f64 (*.f64 f (*.f64 (PI.f64) #s(literal 1/4 binary64)))) #s(literal 2 binary64))))) (patch (-.f64 (log.f64 #s(literal 1/2 binary64)) (neg.f64 (log.f64 (*.f64 (tanh.f64 (*.f64 f (*.f64 (PI.f64) #s(literal 1/4 binary64)))) #s(literal 2 binary64))))) #<representation binary64>) () ())
#s(alt (/.f64 (-.f64 (log.f64 #s(literal 1/2 binary64)) (neg.f64 (log.f64 (*.f64 (tanh.f64 (*.f64 f (*.f64 (PI.f64) #s(literal 1/4 binary64)))) #s(literal 2 binary64))))) (*.f64 (PI.f64) #s(literal 1/4 binary64))) (patch (/.f64 (-.f64 (log.f64 #s(literal 1/2 binary64)) (neg.f64 (log.f64 (*.f64 (tanh.f64 (*.f64 f (*.f64 (PI.f64) #s(literal 1/4 binary64)))) #s(literal 2 binary64))))) (*.f64 (PI.f64) #s(literal 1/4 binary64))) #<representation binary64>) () ())
#s(alt (log.f64 #s(literal 1/2 binary64)) (patch (log.f64 #s(literal 1/2 binary64)) #<representation binary64>) () ())
#s(alt (neg.f64 (log.f64 (*.f64 (tanh.f64 (*.f64 f (*.f64 (PI.f64) #s(literal 1/4 binary64)))) #s(literal 2 binary64)))) (patch (neg.f64 (log.f64 (*.f64 (tanh.f64 (*.f64 f (*.f64 (PI.f64) #s(literal 1/4 binary64)))) #s(literal 2 binary64)))) #<representation binary64>) () ())
#s(alt (*.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (log.f64 #s(approx (tanh (* (* (PI) 1/4) f)) (*.f64 f (*.f64 (PI.f64) #s(literal 1/4 binary64)))))) (patch (*.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (log.f64 #s(approx (tanh (* (* (PI) 1/4) f)) (*.f64 f (*.f64 (PI.f64) #s(literal 1/4 binary64)))))) #<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 (* (* (PI) 1/4) f)) (*.f64 f (*.f64 (PI.f64) #s(literal 1/4 binary64))))) (patch (log.f64 #s(approx (tanh (* (* (PI) 1/4) f)) (*.f64 f (*.f64 (PI.f64) #s(literal 1/4 binary64))))) #<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 (* (* (PI) 1/4) f)) (*.f64 f (*.f64 #s(literal 1/4 binary64) (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))))))) (*.f64 (PI.f64) #s(literal 1/4 binary64))) (patch (/.f64 (log.f64 #s(approx (tanh (* (* (PI) 1/4) f)) (*.f64 f (*.f64 #s(literal 1/4 binary64) (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))))))) (*.f64 (PI.f64) #s(literal 1/4 binary64))) #<representation binary64>) () ())
#s(alt (log.f64 #s(approx (tanh (* (* (PI) 1/4) f)) (*.f64 f (*.f64 #s(literal 1/4 binary64) (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))))))) (patch (log.f64 #s(approx (tanh (* (* (PI) 1/4) f)) (*.f64 f (*.f64 #s(literal 1/4 binary64) (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))))))) #<representation binary64>) () ())
#s(alt #s(approx (tanh (* (* (PI) 1/4) f)) (*.f64 f (*.f64 #s(literal 1/4 binary64) (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)))))) (patch #s(approx (tanh (* (* (PI) 1/4) f)) (*.f64 f (*.f64 #s(literal 1/4 binary64) (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)))))) #<representation binary64>) () ())
#s(alt (/.f64 (log.f64 #s(approx (tanh (* (* (PI) 1/4) f)) (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64))))) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64)))) #s(literal 1/4 binary64))) (patch (/.f64 (log.f64 #s(approx (tanh (* (* (PI) 1/4) f)) (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64))))) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64)))) #s(literal 1/4 binary64))) #<representation binary64>) () ())
#s(alt (log.f64 #s(approx (tanh (* (* (PI) 1/4) f)) (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64))))) (patch (log.f64 #s(approx (tanh (* (* (PI) 1/4) f)) (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64))))) #<representation binary64>) () ())
#s(alt #s(approx (tanh (* (* (PI) 1/4) f)) (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))) (patch #s(approx (tanh (* (* (PI) 1/4) f)) (*.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 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (*.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))) #s(literal 1/4 binary64))) (patch (/.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (*.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))) #s(literal 1/4 binary64))) #<representation binary64>) () ())
#s(alt (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (patch (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) #<representation binary64>) () ())
#s(alt (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)) (patch (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)) #<representation binary64>) () ())
#s(alt (*.f64 f (*.f64 (PI.f64) #s(literal 1/4 binary64))) (patch (*.f64 f (*.f64 (PI.f64) #s(literal 1/4 binary64))) #<representation binary64>) () ())
#s(alt (log.f64 (*.f64 (tanh.f64 (*.f64 f (*.f64 (PI.f64) #s(literal 1/4 binary64)))) #s(literal 2 binary64))) (patch (log.f64 (*.f64 (tanh.f64 (*.f64 f (*.f64 (PI.f64) #s(literal 1/4 binary64)))) #s(literal 2 binary64))) #<representation binary64>) () ())
#s(alt #s(approx (tanh (* (* (PI) 1/4) f)) (*.f64 f (*.f64 (PI.f64) #s(literal 1/4 binary64)))) (patch #s(approx (tanh (* (* (PI) 1/4) f)) (*.f64 f (*.f64 (PI.f64) #s(literal 1/4 binary64)))) #<representation binary64>) () ())
#s(alt (sqrt.f64 (PI.f64)) (patch (sqrt.f64 (PI.f64)) #<representation binary64>) () ())
#s(alt (*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64)))) (patch (*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64)))) #<representation binary64>) () ())
Outputs
#s(alt (+ (log 1/2) (+ (log f) (log (* 1/2 (PI))))) (taylor 0 f) (#s(alt (-.f64 (log.f64 #s(literal 1/2 binary64)) (neg.f64 (log.f64 (*.f64 (tanh.f64 (*.f64 f (*.f64 (PI.f64) #s(literal 1/4 binary64)))) #s(literal 2 binary64))))) (patch (-.f64 (log.f64 #s(literal 1/2 binary64)) (neg.f64 (log.f64 (*.f64 (tanh.f64 (*.f64 f (*.f64 (PI.f64) #s(literal 1/4 binary64)))) #s(literal 2 binary64))))) #<representation binary64>) () ())) ())
#s(alt (+ (log 1/2) (+ (log f) (+ (log (* 1/2 (PI))) (* 2 (/ (* f (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2)))) (PI)))))) (taylor 0 f) (#s(alt (-.f64 (log.f64 #s(literal 1/2 binary64)) (neg.f64 (log.f64 (*.f64 (tanh.f64 (*.f64 f (*.f64 (PI.f64) #s(literal 1/4 binary64)))) #s(literal 2 binary64))))) (patch (-.f64 (log.f64 #s(literal 1/2 binary64)) (neg.f64 (log.f64 (*.f64 (tanh.f64 (*.f64 f (*.f64 (PI.f64) #s(literal 1/4 binary64)))) #s(literal 2 binary64))))) #<representation binary64>) () ())) ())
#s(alt (+ (log 1/2) (+ (log f) (+ (log (* 1/2 (PI))) (* f (+ (* 1/2 (* f (+ (* -4 (/ (pow (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) 2) (pow (PI) 2))) (* 8 (/ (- (* 1/2 (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (+ (* -1/128 (pow (PI) 3)) (* 1/192 (pow (PI) 3))))) (* 1/128 (pow (PI) 3))) (PI)))))) (* 2 (/ (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) (PI)))))))) (taylor 0 f) (#s(alt (-.f64 (log.f64 #s(literal 1/2 binary64)) (neg.f64 (log.f64 (*.f64 (tanh.f64 (*.f64 f (*.f64 (PI.f64) #s(literal 1/4 binary64)))) #s(literal 2 binary64))))) (patch (-.f64 (log.f64 #s(literal 1/2 binary64)) (neg.f64 (log.f64 (*.f64 (tanh.f64 (*.f64 f (*.f64 (PI.f64) #s(literal 1/4 binary64)))) #s(literal 2 binary64))))) #<representation binary64>) () ())) ())
#s(alt (+ (log 1/2) (+ (log f) (+ (log (* 1/2 (PI))) (* f (+ (* 2 (/ (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) (PI))) (* f (+ (* 1/6 (* f (+ (* -48 (/ (* (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) (- (* 1/2 (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (+ (* -1/128 (pow (PI) 3)) (* 1/192 (pow (PI) 3))))) (* 1/128 (pow (PI) 3)))) (pow (PI) 2))) (+ (* 16 (/ (pow (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) 3) (pow (PI) 3))) (* 24 (/ (- (* 1/2 (+ (* -1/4 (* (PI) (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (+ (* -1/128 (pow (PI) 3)) (* 1/384 (pow (PI) 3)))))) (+ (* -1/32 (* (pow (PI) 2) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (+ (* -1/1536 (pow (PI) 4)) (* 1/3072 (pow (PI) 4)))))) (+ (* -1/8 (* (PI) (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (* -1/128 (pow (PI) 3))))) (* 1/64 (* (pow (PI) 2) (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))))))) (PI))))))) (* 1/2 (+ (* -4 (/ (pow (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) 2) (pow (PI) 2))) (* 8 (/ (- (* 1/2 (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (+ (* -1/128 (pow (PI) 3)) (* 1/192 (pow (PI) 3))))) (* 1/128 (pow (PI) 3))) (PI)))))))))))) (taylor 0 f) (#s(alt (-.f64 (log.f64 #s(literal 1/2 binary64)) (neg.f64 (log.f64 (*.f64 (tanh.f64 (*.f64 f (*.f64 (PI.f64) #s(literal 1/4 binary64)))) #s(literal 2 binary64))))) (patch (-.f64 (log.f64 #s(literal 1/2 binary64)) (neg.f64 (log.f64 (*.f64 (tanh.f64 (*.f64 f (*.f64 (PI.f64) #s(literal 1/4 binary64)))) #s(literal 2 binary64))))) #<representation binary64>) () ())) ())
#s(alt (+ (log 1/2) (log (* 2 (/ (- (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 (-.f64 (log.f64 #s(literal 1/2 binary64)) (neg.f64 (log.f64 (*.f64 (tanh.f64 (*.f64 f (*.f64 (PI.f64) #s(literal 1/4 binary64)))) #s(literal 2 binary64))))) (patch (-.f64 (log.f64 #s(literal 1/2 binary64)) (neg.f64 (log.f64 (*.f64 (tanh.f64 (*.f64 f (*.f64 (PI.f64) #s(literal 1/4 binary64)))) #s(literal 2 binary64))))) #<representation binary64>) () ())) ())
#s(alt (+ (log 1/2) (log (* 2 (/ (- (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 (-.f64 (log.f64 #s(literal 1/2 binary64)) (neg.f64 (log.f64 (*.f64 (tanh.f64 (*.f64 f (*.f64 (PI.f64) #s(literal 1/4 binary64)))) #s(literal 2 binary64))))) (patch (-.f64 (log.f64 #s(literal 1/2 binary64)) (neg.f64 (log.f64 (*.f64 (tanh.f64 (*.f64 f (*.f64 (PI.f64) #s(literal 1/4 binary64)))) #s(literal 2 binary64))))) #<representation binary64>) () ())) ())
#s(alt (+ (log 1/2) (log (* 2 (/ (- (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 (-.f64 (log.f64 #s(literal 1/2 binary64)) (neg.f64 (log.f64 (*.f64 (tanh.f64 (*.f64 f (*.f64 (PI.f64) #s(literal 1/4 binary64)))) #s(literal 2 binary64))))) (patch (-.f64 (log.f64 #s(literal 1/2 binary64)) (neg.f64 (log.f64 (*.f64 (tanh.f64 (*.f64 f (*.f64 (PI.f64) #s(literal 1/4 binary64)))) #s(literal 2 binary64))))) #<representation binary64>) () ())) ())
#s(alt (+ (log 1/2) (log (* 2 (/ (- (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 (-.f64 (log.f64 #s(literal 1/2 binary64)) (neg.f64 (log.f64 (*.f64 (tanh.f64 (*.f64 f (*.f64 (PI.f64) #s(literal 1/4 binary64)))) #s(literal 2 binary64))))) (patch (-.f64 (log.f64 #s(literal 1/2 binary64)) (neg.f64 (log.f64 (*.f64 (tanh.f64 (*.f64 f (*.f64 (PI.f64) #s(literal 1/4 binary64)))) #s(literal 2 binary64))))) #<representation binary64>) () ())) ())
#s(alt (+ (log 1/2) (log (* 2 (/ (- (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 (-.f64 (log.f64 #s(literal 1/2 binary64)) (neg.f64 (log.f64 (*.f64 (tanh.f64 (*.f64 f (*.f64 (PI.f64) #s(literal 1/4 binary64)))) #s(literal 2 binary64))))) (patch (-.f64 (log.f64 #s(literal 1/2 binary64)) (neg.f64 (log.f64 (*.f64 (tanh.f64 (*.f64 f (*.f64 (PI.f64) #s(literal 1/4 binary64)))) #s(literal 2 binary64))))) #<representation binary64>) () ())) ())
#s(alt (+ (log 1/2) (log (* 2 (/ (- (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 (-.f64 (log.f64 #s(literal 1/2 binary64)) (neg.f64 (log.f64 (*.f64 (tanh.f64 (*.f64 f (*.f64 (PI.f64) #s(literal 1/4 binary64)))) #s(literal 2 binary64))))) (patch (-.f64 (log.f64 #s(literal 1/2 binary64)) (neg.f64 (log.f64 (*.f64 (tanh.f64 (*.f64 f (*.f64 (PI.f64) #s(literal 1/4 binary64)))) #s(literal 2 binary64))))) #<representation binary64>) () ())) ())
#s(alt (+ (log 1/2) (log (* 2 (/ (- (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 (-.f64 (log.f64 #s(literal 1/2 binary64)) (neg.f64 (log.f64 (*.f64 (tanh.f64 (*.f64 f (*.f64 (PI.f64) #s(literal 1/4 binary64)))) #s(literal 2 binary64))))) (patch (-.f64 (log.f64 #s(literal 1/2 binary64)) (neg.f64 (log.f64 (*.f64 (tanh.f64 (*.f64 f (*.f64 (PI.f64) #s(literal 1/4 binary64)))) #s(literal 2 binary64))))) #<representation binary64>) () ())) ())
#s(alt (+ (log 1/2) (log (* 2 (/ (- (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 (-.f64 (log.f64 #s(literal 1/2 binary64)) (neg.f64 (log.f64 (*.f64 (tanh.f64 (*.f64 f (*.f64 (PI.f64) #s(literal 1/4 binary64)))) #s(literal 2 binary64))))) (patch (-.f64 (log.f64 #s(literal 1/2 binary64)) (neg.f64 (log.f64 (*.f64 (tanh.f64 (*.f64 f (*.f64 (PI.f64) #s(literal 1/4 binary64)))) #s(literal 2 binary64))))) #<representation binary64>) () ())) ())
#s(alt (* 4 (/ (+ (log 1/2) (+ (log f) (log (* 1/2 (PI))))) (PI))) (taylor 0 f) (#s(alt (/.f64 (-.f64 (log.f64 #s(literal 1/2 binary64)) (neg.f64 (log.f64 (*.f64 (tanh.f64 (*.f64 f (*.f64 (PI.f64) #s(literal 1/4 binary64)))) #s(literal 2 binary64))))) (*.f64 (PI.f64) #s(literal 1/4 binary64))) (patch (/.f64 (-.f64 (log.f64 #s(literal 1/2 binary64)) (neg.f64 (log.f64 (*.f64 (tanh.f64 (*.f64 f (*.f64 (PI.f64) #s(literal 1/4 binary64)))) #s(literal 2 binary64))))) (*.f64 (PI.f64) #s(literal 1/4 binary64))) #<representation binary64>) () ())) ())
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#s(alt (log (* 2 (/ (- (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 (log.f64 (*.f64 (tanh.f64 (*.f64 f (*.f64 (PI.f64) #s(literal 1/4 binary64)))) #s(literal 2 binary64))) (patch (log.f64 (*.f64 (tanh.f64 (*.f64 f (*.f64 (PI.f64) #s(literal 1/4 binary64)))) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
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#s(alt (* f (+ (* 1/4 (PI)) (* 1/2 (* f (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))))))) (taylor 0 f) (#s(alt #s(approx (tanh (* (* (PI) 1/4) f)) (*.f64 f (*.f64 (PI.f64) #s(literal 1/4 binary64)))) (patch #s(approx (tanh (* (* (PI) 1/4) f)) (*.f64 f (*.f64 (PI.f64) #s(literal 1/4 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* f (+ (* 1/4 (PI)) (* f (+ (* 1/2 (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2)))) (* f (- (* 1/2 (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (+ (* -1/128 (pow (PI) 3)) (* 1/192 (pow (PI) 3))))) (* 1/128 (pow (PI) 3)))))))) (taylor 0 f) (#s(alt #s(approx (tanh (* (* (PI) 1/4) f)) (*.f64 f (*.f64 (PI.f64) #s(literal 1/4 binary64)))) (patch #s(approx (tanh (* (* (PI) 1/4) f)) (*.f64 f (*.f64 (PI.f64) #s(literal 1/4 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* f (+ (* 1/4 (PI)) (* f (+ (* 1/2 (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2)))) (* f (- (+ (* 1/2 (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (+ (* -1/128 (pow (PI) 3)) (* 1/192 (pow (PI) 3))))) (* f (- (* 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))))))))) (* 1/128 (pow (PI) 3)))))))) (taylor 0 f) (#s(alt #s(approx (tanh (* (* (PI) 1/4) f)) (*.f64 f (*.f64 (PI.f64) #s(literal 1/4 binary64)))) (patch #s(approx (tanh (* (* (PI) 1/4) f)) (*.f64 f (*.f64 (PI.f64) #s(literal 1/4 binary64)))) #<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 (* (* (PI) 1/4) f)) (*.f64 f (*.f64 (PI.f64) #s(literal 1/4 binary64)))) (patch #s(approx (tanh (* (* (PI) 1/4) f)) (*.f64 f (*.f64 (PI.f64) #s(literal 1/4 binary64)))) #<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 (* (* (PI) 1/4) f)) (*.f64 f (*.f64 (PI.f64) #s(literal 1/4 binary64)))) (patch #s(approx (tanh (* (* (PI) 1/4) f)) (*.f64 f (*.f64 (PI.f64) #s(literal 1/4 binary64)))) #<representation binary64>) () ())) ())
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#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 (* (* (PI) 1/4) f)) (*.f64 f (*.f64 (PI.f64) #s(literal 1/4 binary64)))) (patch #s(approx (tanh (* (* (PI) 1/4) f)) (*.f64 f (*.f64 (PI.f64) #s(literal 1/4 binary64)))) #<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 (* (* (PI) 1/4) f)) (*.f64 f (*.f64 (PI.f64) #s(literal 1/4 binary64)))) (patch #s(approx (tanh (* (* (PI) 1/4) f)) (*.f64 f (*.f64 (PI.f64) #s(literal 1/4 binary64)))) #<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 (* (* (PI) 1/4) f)) (*.f64 f (*.f64 (PI.f64) #s(literal 1/4 binary64)))) (patch #s(approx (tanh (* (* (PI) 1/4) f)) (*.f64 f (*.f64 (PI.f64) #s(literal 1/4 binary64)))) #<representation binary64>) () ())) ())
Calls

54 calls:

TimeVariablePointExpression
50.0ms
f
@-inf
(- (log 1/2) (neg (log (* (tanh (* f (* (PI) 1/4))) 2))))
38.0ms
f
@inf
(- (log 1/2) (neg (log (* (tanh (* f (* (PI) 1/4))) 2))))
22.0ms
f
@-inf
(log (* (tanh (* f (* (PI) 1/4))) 2))
4.0ms
f
@0
(- (log 1/2) (neg (log (* (tanh (* f (* (PI) 1/4))) 2))))
1.0ms
f
@inf
(/ (- (log 1/2) (neg (log (* (tanh (* f (* (PI) 1/4))) 2)))) (* (PI) 1/4))

simplify371.0ms (2.1%)

Memory
-10.5MiB live, 272.1MiB allocated
Algorithm
egg-herbie
Rules
7 122×lower-fma.f64
7 122×lower-fma.f32
3 390×lower-+.f64
3 390×lower-+.f32
3 146×lower-*.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01978498
16057141
224346142
086805937
Stop Event
iter limit
node limit
Counts
216 → 216
Calls
Call 1
Inputs
(+ (log 1/2) (+ (log f) (log (* 1/2 (PI)))))
(+ (log 1/2) (+ (log f) (+ (log (* 1/2 (PI))) (* 2 (/ (* f (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2)))) (PI))))))
(+ (log 1/2) (+ (log f) (+ (log (* 1/2 (PI))) (* f (+ (* 1/2 (* f (+ (* -4 (/ (pow (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) 2) (pow (PI) 2))) (* 8 (/ (- (* 1/2 (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (+ (* -1/128 (pow (PI) 3)) (* 1/192 (pow (PI) 3))))) (* 1/128 (pow (PI) 3))) (PI)))))) (* 2 (/ (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) (PI))))))))
(+ (log 1/2) (+ (log f) (+ (log (* 1/2 (PI))) (* f (+ (* 2 (/ (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) (PI))) (* f (+ (* 1/6 (* f (+ (* -48 (/ (* (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) (- (* 1/2 (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (+ (* -1/128 (pow (PI) 3)) (* 1/192 (pow (PI) 3))))) (* 1/128 (pow (PI) 3)))) (pow (PI) 2))) (+ (* 16 (/ (pow (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) 3) (pow (PI) 3))) (* 24 (/ (- (* 1/2 (+ (* -1/4 (* (PI) (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (+ (* -1/128 (pow (PI) 3)) (* 1/384 (pow (PI) 3)))))) (+ (* -1/32 (* (pow (PI) 2) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (+ (* -1/1536 (pow (PI) 4)) (* 1/3072 (pow (PI) 4)))))) (+ (* -1/8 (* (PI) (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (* -1/128 (pow (PI) 3))))) (* 1/64 (* (pow (PI) 2) (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))))))) (PI))))))) (* 1/2 (+ (* -4 (/ (pow (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) 2) (pow (PI) 2))) (* 8 (/ (- (* 1/2 (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (+ (* -1/128 (pow (PI) 3)) (* 1/192 (pow (PI) 3))))) (* 1/128 (pow (PI) 3))) (PI))))))))))))
(+ (log 1/2) (log (* 2 (/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI))))))))))
(+ (log 1/2) (log (* 2 (/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI))))))))))
(+ (log 1/2) (log (* 2 (/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI))))))))))
(+ (log 1/2) (log (* 2 (/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI))))))))))
(+ (log 1/2) (log (* 2 (/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI))))))))))
(+ (log 1/2) (log (* 2 (/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI))))))))))
(+ (log 1/2) (log (* 2 (/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI))))))))))
(+ (log 1/2) (log (* 2 (/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI))))))))))
(* 4 (/ (+ (log 1/2) (+ (log f) (log (* 1/2 (PI))))) (PI)))
(+ (* 4 (/ (+ (log 1/2) (+ (log f) (log (* 1/2 (PI))))) (PI))) (* 8 (/ (* f (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2)))) (pow (PI) 2))))
(+ (* 4 (/ (+ (log 1/2) (+ (log f) (log (* 1/2 (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 1/2) (+ (log f) (log (* 1/2 (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 (/ (+ (log 1/2) (log (* 2 (/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))))) (PI)))
(* 4 (/ (+ (log 1/2) (log (* 2 (/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))))) (PI)))
(* 4 (/ (+ (log 1/2) (log (* 2 (/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))))) (PI)))
(* 4 (/ (+ (log 1/2) (log (* 2 (/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))))) (PI)))
(* 4 (/ (+ (log 1/2) (log (* 2 (/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))))) (PI)))
(* 4 (/ (+ (log 1/2) (log (* 2 (/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))))) (PI)))
(* 4 (/ (+ (log 1/2) (log (* 2 (/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))))) (PI)))
(* 4 (/ (+ (log 1/2) (log (* 2 (/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))))) (PI)))
(* -1 (+ (log f) (log (* 1/2 (PI)))))
(- (* -2 (/ (* f (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2)))) (PI))) (+ (log f) (log (* 1/2 (PI)))))
(- (* f (- (* -1/2 (* f (+ (* -4 (/ (pow (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) 2) (pow (PI) 2))) (* 8 (/ (- (* 1/2 (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (+ (* -1/128 (pow (PI) 3)) (* 1/192 (pow (PI) 3))))) (* 1/128 (pow (PI) 3))) (PI)))))) (* 2 (/ (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) (PI))))) (+ (log f) (log (* 1/2 (PI)))))
(- (* f (- (* f (- (* -1/6 (* f (+ (* -48 (/ (* (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) (- (* 1/2 (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (+ (* -1/128 (pow (PI) 3)) (* 1/192 (pow (PI) 3))))) (* 1/128 (pow (PI) 3)))) (pow (PI) 2))) (+ (* 16 (/ (pow (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) 3) (pow (PI) 3))) (* 24 (/ (- (* 1/2 (+ (* -1/4 (* (PI) (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (+ (* -1/128 (pow (PI) 3)) (* 1/384 (pow (PI) 3)))))) (+ (* -1/32 (* (pow (PI) 2) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (+ (* -1/1536 (pow (PI) 4)) (* 1/3072 (pow (PI) 4)))))) (+ (* -1/8 (* (PI) (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (* -1/128 (pow (PI) 3))))) (* 1/64 (* (pow (PI) 2) (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))))))) (PI))))))) (* 1/2 (+ (* -4 (/ (pow (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) 2) (pow (PI) 2))) (* 8 (/ (- (* 1/2 (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (+ (* -1/128 (pow (PI) 3)) (* 1/192 (pow (PI) 3))))) (* 1/128 (pow (PI) 3))) (PI))))))) (* 2 (/ (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) (PI))))) (+ (log f) (log (* 1/2 (PI)))))
(* -1 (log (* 2 (/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI))))))))))
(* -1 (log (* 2 (/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI))))))))))
(* -1 (log (* 2 (/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI))))))))))
(* -1 (log (* 2 (/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI))))))))))
(* -1 (log (* 2 (/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI))))))))))
(* -1 (log (* 2 (/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI))))))))))
(* -1 (log (* 2 (/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI))))))))))
(* -1 (log (* 2 (/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI))))))))))
(* 4 (/ (+ (log f) (log (* 1/4 (PI)))) (PI)))
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(/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))
(/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))
(/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))
(/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))
(/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))
Outputs
(+ (log 1/2) (+ (log f) (log (* 1/2 (PI)))))
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(* 4 (/ (+ (log 1/2) (+ (log f) (log (* 1/2 (PI))))) (PI)))
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(/.f64 (-.f64 (exp.f64 (*.f64 f (*.f64 (PI.f64) #s(literal 1/4 binary64)))) (exp.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 f (PI.f64))))) (+.f64 (exp.f64 (*.f64 f (*.f64 (PI.f64) #s(literal 1/4 binary64)))) (exp.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 f (PI.f64))))))
(/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))
(/.f64 (-.f64 (exp.f64 (*.f64 f (*.f64 (PI.f64) #s(literal 1/4 binary64)))) (exp.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 f (PI.f64))))) (+.f64 (exp.f64 (*.f64 f (*.f64 (PI.f64) #s(literal 1/4 binary64)))) (exp.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 f (PI.f64))))))
(/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))
(/.f64 (-.f64 (exp.f64 (*.f64 f (*.f64 (PI.f64) #s(literal 1/4 binary64)))) (exp.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 f (PI.f64))))) (+.f64 (exp.f64 (*.f64 f (*.f64 (PI.f64) #s(literal 1/4 binary64)))) (exp.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 f (PI.f64))))))
(/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))
(/.f64 (-.f64 (exp.f64 (*.f64 f (*.f64 (PI.f64) #s(literal 1/4 binary64)))) (exp.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 f (PI.f64))))) (+.f64 (exp.f64 (*.f64 f (*.f64 (PI.f64) #s(literal 1/4 binary64)))) (exp.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 f (PI.f64))))))
(/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))
(/.f64 (-.f64 (exp.f64 (*.f64 f (*.f64 (PI.f64) #s(literal 1/4 binary64)))) (exp.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 f (PI.f64))))) (+.f64 (exp.f64 (*.f64 f (*.f64 (PI.f64) #s(literal 1/4 binary64)))) (exp.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 f (PI.f64))))))
(/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))
(/.f64 (-.f64 (exp.f64 (*.f64 f (*.f64 (PI.f64) #s(literal 1/4 binary64)))) (exp.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 f (PI.f64))))) (+.f64 (exp.f64 (*.f64 f (*.f64 (PI.f64) #s(literal 1/4 binary64)))) (exp.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 f (PI.f64))))))
(/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))
(/.f64 (-.f64 (exp.f64 (*.f64 f (*.f64 (PI.f64) #s(literal 1/4 binary64)))) (exp.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 f (PI.f64))))) (+.f64 (exp.f64 (*.f64 f (*.f64 (PI.f64) #s(literal 1/4 binary64)))) (exp.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 f (PI.f64))))))

rewrite469.0ms (2.6%)

Memory
13.8MiB live, 358.6MiB allocated
Rules
4 866×lower-*.f32
4 848×lower-*.f64
4 134×lower-/.f32
4 126×lower-/.f64
1 800×lower-fma.f64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
045255
079219
1246214
21185214
08308214
Stop Event
iter limit
node limit
iter limit
Counts
24 → 1 129
Calls
Call 1
Inputs
(-.f64 (log.f64 #s(literal 1/2 binary64)) (neg.f64 (log.f64 (*.f64 (tanh.f64 (*.f64 f (*.f64 (PI.f64) #s(literal 1/4 binary64)))) #s(literal 2 binary64)))))
(/.f64 (-.f64 (log.f64 #s(literal 1/2 binary64)) (neg.f64 (log.f64 (*.f64 (tanh.f64 (*.f64 f (*.f64 (PI.f64) #s(literal 1/4 binary64)))) #s(literal 2 binary64))))) (*.f64 (PI.f64) #s(literal 1/4 binary64)))
(log.f64 #s(literal 1/2 binary64))
(neg.f64 (log.f64 (*.f64 (tanh.f64 (*.f64 f (*.f64 (PI.f64) #s(literal 1/4 binary64)))) #s(literal 2 binary64))))
(*.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (log.f64 #s(approx (tanh (* (* (PI) 1/4) f)) (*.f64 f (*.f64 (PI.f64) #s(literal 1/4 binary64))))))
(/.f64 #s(literal 4 binary64) (PI.f64))
(PI.f64)
(log.f64 #s(approx (tanh (* (* (PI) 1/4) f)) (*.f64 f (*.f64 (PI.f64) #s(literal 1/4 binary64)))))
(*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)))
(/.f64 (log.f64 #s(approx (tanh (* (* (PI) 1/4) f)) (*.f64 f (*.f64 #s(literal 1/4 binary64) (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))))))) (*.f64 (PI.f64) #s(literal 1/4 binary64)))
(log.f64 #s(approx (tanh (* (* (PI) 1/4) f)) (*.f64 f (*.f64 #s(literal 1/4 binary64) (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)))))))
#s(approx (tanh (* (* (PI) 1/4) f)) (*.f64 f (*.f64 #s(literal 1/4 binary64) (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))))))
(/.f64 (log.f64 #s(approx (tanh (* (* (PI) 1/4) f)) (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64))))) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64)))) #s(literal 1/4 binary64)))
(log.f64 #s(approx (tanh (* (* (PI) 1/4) f)) (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))))
#s(approx (tanh (* (* (PI) 1/4) f)) (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64))))
(*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))
(/.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (*.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))) #s(literal 1/4 binary64)))
(log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))
(tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))
(*.f64 f (*.f64 (PI.f64) #s(literal 1/4 binary64)))
(log.f64 (*.f64 (tanh.f64 (*.f64 f (*.f64 (PI.f64) #s(literal 1/4 binary64)))) #s(literal 2 binary64)))
#s(approx (tanh (* (* (PI) 1/4) f)) (*.f64 f (*.f64 (PI.f64) #s(literal 1/4 binary64))))
(sqrt.f64 (PI.f64))
(*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64))))
Outputs
(log.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 2 binary64) (tanh.f64 (*.f64 f (*.f64 (PI.f64) #s(literal 1/4 binary64)))))))
(log.f64 (*.f64 (*.f64 #s(literal 2 binary64) (tanh.f64 (*.f64 f (*.f64 (PI.f64) #s(literal 1/4 binary64))))) #s(literal 1/2 binary64)))
(+.f64 (log.f64 #s(literal 1/2 binary64)) (log.f64 (*.f64 #s(literal 2 binary64) (tanh.f64 (*.f64 f (*.f64 (PI.f64) #s(literal 1/4 binary64)))))))
(+.f64 (log.f64 (*.f64 #s(literal 2 binary64) (tanh.f64 (*.f64 f (*.f64 (PI.f64) #s(literal 1/4 binary64)))))) (log.f64 #s(literal 1/2 binary64)))
(+.f64 (/.f64 (pow.f64 (log.f64 #s(literal 1/2 binary64)) #s(literal 3 binary64)) (fma.f64 (neg.f64 (log.f64 (*.f64 #s(literal 2 binary64) (tanh.f64 (*.f64 f (*.f64 (PI.f64) #s(literal 1/4 binary64))))))) (log.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 2 binary64) (tanh.f64 (*.f64 f (*.f64 (PI.f64) #s(literal 1/4 binary64))))))) (pow.f64 (log.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64)))) (neg.f64 (/.f64 (neg.f64 (pow.f64 (log.f64 (*.f64 #s(literal 2 binary64) (tanh.f64 (*.f64 f (*.f64 (PI.f64) #s(literal 1/4 binary64)))))) #s(literal 3 binary64))) (fma.f64 (neg.f64 (log.f64 (*.f64 #s(literal 2 binary64) (tanh.f64 (*.f64 f (*.f64 (PI.f64) #s(literal 1/4 binary64))))))) (log.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 2 binary64) (tanh.f64 (*.f64 f (*.f64 (PI.f64) #s(literal 1/4 binary64))))))) (pow.f64 (log.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64))))))
(+.f64 (/.f64 (pow.f64 (log.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64)) (log.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 2 binary64) (tanh.f64 (*.f64 f (*.f64 (PI.f64) #s(literal 1/4 binary64)))))))) (neg.f64 (/.f64 (pow.f64 (log.f64 (*.f64 #s(literal 2 binary64) (tanh.f64 (*.f64 f (*.f64 (PI.f64) #s(literal 1/4 binary64)))))) #s(literal 2 binary64)) (log.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 2 binary64) (tanh.f64 (*.f64 f (*.f64 (PI.f64) #s(literal 1/4 binary64))))))))))
(-.f64 (log.f64 #s(literal 1/2 binary64)) (neg.f64 (log.f64 (*.f64 #s(literal 2 binary64) (tanh.f64 (*.f64 f (*.f64 (PI.f64) #s(literal 1/4 binary64))))))))
(-.f64 #s(literal 0 binary64) (neg.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 2 binary64) (tanh.f64 (*.f64 f (*.f64 (PI.f64) #s(literal 1/4 binary64)))))))))
(-.f64 (/.f64 (pow.f64 (log.f64 #s(literal 1/2 binary64)) #s(literal 3 binary64)) (fma.f64 (neg.f64 (log.f64 (*.f64 #s(literal 2 binary64) (tanh.f64 (*.f64 f (*.f64 (PI.f64) #s(literal 1/4 binary64))))))) (log.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 2 binary64) (tanh.f64 (*.f64 f (*.f64 (PI.f64) #s(literal 1/4 binary64))))))) (pow.f64 (log.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64)))) (/.f64 (neg.f64 (pow.f64 (log.f64 (*.f64 #s(literal 2 binary64) (tanh.f64 (*.f64 f (*.f64 (PI.f64) #s(literal 1/4 binary64)))))) #s(literal 3 binary64))) (fma.f64 (neg.f64 (log.f64 (*.f64 #s(literal 2 binary64) (tanh.f64 (*.f64 f (*.f64 (PI.f64) #s(literal 1/4 binary64))))))) (log.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 2 binary64) (tanh.f64 (*.f64 f (*.f64 (PI.f64) #s(literal 1/4 binary64))))))) (pow.f64 (log.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64)))))
(-.f64 (/.f64 (pow.f64 (log.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64)) (log.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 2 binary64) (tanh.f64 (*.f64 f (*.f64 (PI.f64) #s(literal 1/4 binary64)))))))) (/.f64 (pow.f64 (log.f64 (*.f64 #s(literal 2 binary64) (tanh.f64 (*.f64 f (*.f64 (PI.f64) #s(literal 1/4 binary64)))))) #s(literal 2 binary64)) (log.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 2 binary64) (tanh.f64 (*.f64 f (*.f64 (PI.f64) #s(literal 1/4 binary64)))))))))
(-.f64 (/.f64 (log.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)) (/.f64 (neg.f64 (log.f64 (*.f64 #s(literal 2 binary64) (tanh.f64 (*.f64 f (*.f64 (PI.f64) #s(literal 1/4 binary64))))))) #s(literal 1 binary64)))
(-.f64 (/.f64 (/.f64 (pow.f64 (log.f64 #s(literal 1/2 binary64)) #s(literal 3 binary64)) (fma.f64 (neg.f64 (log.f64 (*.f64 #s(literal 2 binary64) (tanh.f64 (*.f64 f (*.f64 (PI.f64) #s(literal 1/4 binary64))))))) (log.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 2 binary64) (tanh.f64 (*.f64 f (*.f64 (PI.f64) #s(literal 1/4 binary64))))))) (pow.f64 (log.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64)))) #s(literal 1 binary64)) (/.f64 (/.f64 (neg.f64 (pow.f64 (log.f64 (*.f64 #s(literal 2 binary64) (tanh.f64 (*.f64 f (*.f64 (PI.f64) #s(literal 1/4 binary64)))))) #s(literal 3 binary64))) (fma.f64 (neg.f64 (log.f64 (*.f64 #s(literal 2 binary64) (tanh.f64 (*.f64 f (*.f64 (PI.f64) #s(literal 1/4 binary64))))))) (log.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 2 binary64) (tanh.f64 (*.f64 f (*.f64 (PI.f64) #s(literal 1/4 binary64))))))) (pow.f64 (log.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64)))) #s(literal 1 binary64)))
(-.f64 (/.f64 (/.f64 (pow.f64 (log.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64)) (log.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 2 binary64) (tanh.f64 (*.f64 f (*.f64 (PI.f64) #s(literal 1/4 binary64)))))))) #s(literal 1 binary64)) (/.f64 (/.f64 (pow.f64 (log.f64 (*.f64 #s(literal 2 binary64) (tanh.f64 (*.f64 f (*.f64 (PI.f64) #s(literal 1/4 binary64)))))) #s(literal 2 binary64)) (log.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 2 binary64) (tanh.f64 (*.f64 f (*.f64 (PI.f64) #s(literal 1/4 binary64)))))))) #s(literal 1 binary64)))
(fma.f64 (log.f64 (*.f64 #s(literal 2 binary64) (tanh.f64 (*.f64 f (*.f64 (PI.f64) #s(literal 1/4 binary64)))))) #s(literal 1 binary64) (log.f64 #s(literal 1/2 binary64)))
(fma.f64 (neg.f64 (log.f64 (*.f64 #s(literal 2 binary64) (tanh.f64 (*.f64 f (*.f64 (PI.f64) #s(literal 1/4 binary64))))))) #s(literal -1 binary64) (log.f64 #s(literal 1/2 binary64)))
(fma.f64 #s(literal 1 binary64) (log.f64 (*.f64 #s(literal 2 binary64) (tanh.f64 (*.f64 f (*.f64 (PI.f64) #s(literal 1/4 binary64)))))) (log.f64 #s(literal 1/2 binary64)))
(fma.f64 (pow.f64 (log.f64 #s(literal 1/2 binary64)) #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 (log.f64 (*.f64 #s(literal 2 binary64) (tanh.f64 (*.f64 f (*.f64 (PI.f64) #s(literal 1/4 binary64))))))) (log.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 2 binary64) (tanh.f64 (*.f64 f (*.f64 (PI.f64) #s(literal 1/4 binary64))))))) (pow.f64 (log.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64)))) (neg.f64 (/.f64 (neg.f64 (pow.f64 (log.f64 (*.f64 #s(literal 2 binary64) (tanh.f64 (*.f64 f (*.f64 (PI.f64) #s(literal 1/4 binary64)))))) #s(literal 3 binary64))) (fma.f64 (neg.f64 (log.f64 (*.f64 #s(literal 2 binary64) (tanh.f64 (*.f64 f (*.f64 (PI.f64) #s(literal 1/4 binary64))))))) (log.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 2 binary64) (tanh.f64 (*.f64 f (*.f64 (PI.f64) #s(literal 1/4 binary64))))))) (pow.f64 (log.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64))))))
(fma.f64 (pow.f64 (log.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (log.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 2 binary64) (tanh.f64 (*.f64 f (*.f64 (PI.f64) #s(literal 1/4 binary64)))))))) (neg.f64 (/.f64 (pow.f64 (log.f64 (*.f64 #s(literal 2 binary64) (tanh.f64 (*.f64 f (*.f64 (PI.f64) #s(literal 1/4 binary64)))))) #s(literal 2 binary64)) (log.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 2 binary64) (tanh.f64 (*.f64 f (*.f64 (PI.f64) #s(literal 1/4 binary64))))))))))
(fma.f64 #s(literal -1 binary64) (neg.f64 (log.f64 (*.f64 #s(literal 2 binary64) (tanh.f64 (*.f64 f (*.f64 (PI.f64) #s(literal 1/4 binary64))))))) (log.f64 #s(literal 1/2 binary64)))
(fma.f64 #s(literal -1 binary64) (log.f64 #s(literal 2 binary64)) (log.f64 (*.f64 #s(literal 2 binary64) (tanh.f64 (*.f64 f (*.f64 (PI.f64) #s(literal 1/4 binary64)))))))
(fma.f64 (+.f64 (pow.f64 (log.f64 (tanh.f64 (*.f64 f (*.f64 (PI.f64) #s(literal 1/4 binary64))))) #s(literal 3 binary64)) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (log.f64 (tanh.f64 (*.f64 f (*.f64 (PI.f64) #s(literal 1/4 binary64))))) #s(literal 2 binary64)) (-.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 (log.f64 (tanh.f64 (*.f64 f (*.f64 (PI.f64) #s(literal 1/4 binary64))))) (log.f64 #s(literal 2 binary64)))))) (log.f64 #s(literal 1/2 binary64)))
(fma.f64 (*.f64 (log.f64 (*.f64 #s(literal 2 binary64) (tanh.f64 (*.f64 f (*.f64 (PI.f64) #s(literal 1/4 binary64)))))) (log.f64 (/.f64 (tanh.f64 (*.f64 f (*.f64 (PI.f64) #s(literal 1/4 binary64)))) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (log.f64 (/.f64 (tanh.f64 (*.f64 f (*.f64 (PI.f64) #s(literal 1/4 binary64)))) #s(literal 2 binary64)))) (log.f64 #s(literal 1/2 binary64)))
(neg.f64 (neg.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 2 binary64) (tanh.f64 (*.f64 f (*.f64 (PI.f64) #s(literal 1/4 binary64)))))))))
(/.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 2 binary64) (tanh.f64 (*.f64 f (*.f64 (PI.f64) #s(literal 1/4 binary64))))))) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (log.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 2 binary64) (tanh.f64 (*.f64 f (*.f64 (PI.f64) #s(literal 1/4 binary64)))))))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (log.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 2 binary64) (tanh.f64 (*.f64 f (*.f64 (PI.f64) #s(literal 1/4 binary64)))))))) #s(literal 1 binary64)))
(/.f64 (neg.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 2 binary64) (tanh.f64 (*.f64 f (*.f64 (PI.f64) #s(literal 1/4 binary64)))))))) #s(literal -1 binary64))
(/.f64 (+.f64 (pow.f64 (log.f64 #s(literal 1/2 binary64)) #s(literal 3 binary64)) (pow.f64 (log.f64 (*.f64 #s(literal 2 binary64) (tanh.f64 (*.f64 f (*.f64 (PI.f64) #s(literal 1/4 binary64)))))) #s(literal 3 binary64))) (fma.f64 (neg.f64 (log.f64 (*.f64 #s(literal 2 binary64) (tanh.f64 (*.f64 f (*.f64 (PI.f64) #s(literal 1/4 binary64))))))) (log.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 2 binary64) (tanh.f64 (*.f64 f (*.f64 (PI.f64) #s(literal 1/4 binary64))))))) (pow.f64 (log.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (log.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 2 binary64) (tanh.f64 (*.f64 f (*.f64 (PI.f64) #s(literal 1/4 binary64))))))))))
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(*.f64 (pow.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64))) #s(literal 1/3 binary64)) (pow.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64))) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (sqrt.f64 (PI.f64))) #s(literal 1/3 binary64)) (cbrt.f64 (sqrt.f64 (PI.f64))))
(*.f64 (pow.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (pow.f64 (PI.f64) #s(literal 2/3 binary64))) #s(literal 1/3 binary64)) (cbrt.f64 (cbrt.f64 (PI.f64))))
(*.f64 (exp.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/3 binary64) (log.f64 (PI.f64))))) (exp.f64 (*.f64 #s(literal 1/3 binary64) (log.f64 (PI.f64)))))
(*.f64 (cbrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (cbrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))))
(*.f64 (cbrt.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (sqrt.f64 (PI.f64)))) (cbrt.f64 (sqrt.f64 (PI.f64))))
(*.f64 (cbrt.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (pow.f64 (PI.f64) #s(literal 2/3 binary64)))) (cbrt.f64 (cbrt.f64 (PI.f64))))
(*.f64 (sqrt.f64 (pow.f64 (PI.f64) #s(literal 4/3 binary64))) (cbrt.f64 (PI.f64)))
(*.f64 (sqrt.f64 (*.f64 (PI.f64) (pow.f64 (PI.f64) #s(literal 2/3 binary64)))) (pow.f64 (PI.f64) #s(literal 1/6 binary64)))
(*.f64 (fabs.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64))))) (sqrt.f64 (sqrt.f64 (PI.f64))))
(*.f64 (fabs.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64))) (cbrt.f64 (PI.f64)))
(*.f64 (*.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) (cbrt.f64 (PI.f64))) (*.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) (cbrt.f64 (PI.f64))))
(*.f64 (*.f64 (cbrt.f64 (PI.f64)) (cbrt.f64 (sqrt.f64 (PI.f64)))) (*.f64 (cbrt.f64 (PI.f64)) (cbrt.f64 (sqrt.f64 (PI.f64)))))
(*.f64 (neg.f64 (neg.f64 (sqrt.f64 (PI.f64)))) (sqrt.f64 (PI.f64)))
(*.f64 (neg.f64 (neg.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)))) (cbrt.f64 (PI.f64)))

eval515.0ms (2.9%)

Memory
12.4MiB live, 659.0MiB allocated
Compiler

Compiled 62 102 to 6 941 computations (88.8% saved)

prune400.0ms (2.3%)

Memory
-7.3MiB live, 843.2MiB allocated
Pruning

30 alts after pruning (24 fresh and 6 done)

PrunedKeptTotal
New2 459122 471
Fresh61218
Picked145
Done022
Total2 466302 496
Accuracy
99.9%
Counts
2 496 → 30
Alt Table
Click to see full alt table
StatusAccuracyProgram
96.6%
(fma.f64 (/.f64 (log.f64 #s(literal 1/2 binary64)) (sqrt.f64 (PI.f64))) (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64))) (/.f64 (log.f64 (*.f64 #s(literal 2 binary64) (tanh.f64 (*.f64 f (*.f64 (PI.f64) #s(literal 1/4 binary64)))))) (*.f64 (PI.f64) #s(literal 1/4 binary64))))
96.6%
(fma.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (log.f64 (*.f64 (tanh.f64 (*.f64 f (*.f64 (PI.f64) #s(literal 1/4 binary64)))) #s(literal 2 binary64))) (/.f64 (log.f64 #s(literal 2 binary64)) (*.f64 (PI.f64) #s(literal -1/4 binary64))))
96.4%
(fma.f64 (log.f64 #s(literal 2 binary64)) (/.f64 #s(literal -4 binary64) (PI.f64)) (*.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (log.f64 (*.f64 (tanh.f64 (*.f64 f (*.f64 (PI.f64) #s(literal 1/4 binary64)))) #s(literal 2 binary64)))))
95.5%
(/.f64 (/.f64 (log.f64 #s(approx (tanh (* (* (PI) 1/4) f)) (*.f64 f (*.f64 (PI.f64) #s(literal 1/4 binary64))))) (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64))))) (*.f64 #s(literal 1/4 binary64) (sqrt.f64 (sqrt.f64 (PI.f64)))))
8.8%
(/.f64 (-.f64 (log1p.f64 (neg.f64 (exp.f64 (*.f64 (*.f64 f (*.f64 (PI.f64) #s(literal 1/4 binary64))) #s(literal -2 binary64))))) (log1p.f64 (exp.f64 (*.f64 (*.f64 f (*.f64 (PI.f64) #s(literal 1/4 binary64))) #s(literal -2 binary64))))) (*.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))) #s(literal 1/4 binary64)))
8.8%
(/.f64 (-.f64 (log1p.f64 (neg.f64 (exp.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f)) #s(literal -2 binary64))))) (log1p.f64 (exp.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f)) #s(literal -2 binary64))))) (*.f64 (PI.f64) #s(literal 1/4 binary64)))
98.2%
(/.f64 (+.f64 (log.f64 (*.f64 #s(literal 2 binary64) (tanh.f64 (*.f64 f (*.f64 (PI.f64) #s(literal 1/4 binary64)))))) (log.f64 #s(literal 1/2 binary64))) (*.f64 (PI.f64) #s(literal 1/4 binary64)))
95.4%
(/.f64 (*.f64 (log.f64 #s(approx (tanh (* (* (PI) 1/4) f)) (*.f64 f (*.f64 (PI.f64) #s(literal 1/4 binary64))))) (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (PI.f64)))
97.1%
(/.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (*.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))) #s(literal 1/4 binary64)))
98.2%
(/.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (*.f64 (PI.f64) #s(literal 1/4 binary64)))
95.7%
(/.f64 (log.f64 #s(approx (tanh (* (* (PI) 1/4) f)) (/.f64 f (/.f64 #s(literal 4 binary64) (PI.f64))))) (*.f64 (PI.f64) #s(literal 1/4 binary64)))
95.7%
(/.f64 (log.f64 #s(approx (tanh (* (* (PI) 1/4) f)) (*.f64 f (fma.f64 (fma.f64 (*.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal -1/32 binary64))) #s(literal -1/8 binary64) (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal -7/768 binary64))) (*.f64 f f) (*.f64 (PI.f64) #s(literal 1/4 binary64)))))) (*.f64 (PI.f64) #s(literal 1/4 binary64)))
94.6%
(/.f64 (log.f64 #s(approx (tanh (* (* (PI) 1/4) f)) (*.f64 f (*.f64 (PI.f64) #s(literal 1/4 binary64))))) (*.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))) #s(literal 1/4 binary64)))
95.6%
(/.f64 (log.f64 #s(approx (tanh (* (* (PI) 1/4) f)) (*.f64 f (*.f64 #s(literal 1/4 binary64) (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))))))) (*.f64 (PI.f64) #s(literal 1/4 binary64)))
95.1%
(/.f64 (log.f64 #s(approx (tanh (* (* (PI) 1/4) f)) (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64))))) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64)))) #s(literal 1/4 binary64)))
95.7%
(/.f64 (log.f64 #s(approx (tanh (* (* (PI) 1/4) f)) (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64))))) (*.f64 (PI.f64) #s(literal 1/4 binary64)))
95.6%
(/.f64 #s(literal 4 binary64) (/.f64 (PI.f64) (log.f64 #s(approx (tanh (* (* (PI) 1/4) f)) (*.f64 f (*.f64 (PI.f64) #s(literal 1/4 binary64)))))))
95.5%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/4 binary64) (/.f64 (log.f64 #s(approx (tanh (* (* (PI) 1/4) f)) (*.f64 f (*.f64 (PI.f64) #s(literal 1/4 binary64))))) (PI.f64))))
95.3%
(*.f64 (/.f64 (log.f64 #s(approx (tanh (* (* (PI) 1/4) f)) (*.f64 f (*.f64 (PI.f64) #s(literal 1/4 binary64))))) (sqrt.f64 (sqrt.f64 (PI.f64)))) (/.f64 #s(literal 4 binary64) (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64))))))
95.4%
(*.f64 (/.f64 (log.f64 #s(approx (tanh (* (* (PI) 1/4) f)) (*.f64 f (*.f64 (PI.f64) #s(literal 1/4 binary64))))) (sqrt.f64 (PI.f64))) (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64))))
94.2%
(*.f64 (/.f64 #s(literal 4 binary64) (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)))) (log.f64 #s(approx (tanh (* (* (PI) 1/4) f)) (*.f64 f (*.f64 (PI.f64) #s(literal 1/4 binary64))))))
95.5%
(*.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (log.f64 #s(approx (tanh (* (* (PI) 1/4) f)) (*.f64 f (*.f64 (PI.f64) #s(literal 1/4 binary64))))))))
95.6%
(*.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (log.f64 #s(approx (tanh (* (* (PI) 1/4) f)) (*.f64 f (*.f64 (PI.f64) #s(literal 1/4 binary64))))))
95.0%
(*.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 (* (* (PI) 1/4) f)) (*.f64 f (*.f64 (PI.f64) #s(literal 1/4 binary64))))))
96.4%
(neg.f64 (fma.f64 (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64))) (/.f64 (neg.f64 (log.f64 (*.f64 (tanh.f64 (*.f64 f (*.f64 (PI.f64) #s(literal 1/4 binary64)))) #s(literal 2 binary64)))) (sqrt.f64 (PI.f64))) (/.f64 (log.f64 #s(literal 2 binary64)) (*.f64 (PI.f64) #s(literal 1/4 binary64)))))
96.7%
(neg.f64 (/.f64 (fma.f64 (/.f64 (log.f64 #s(literal 2 binary64)) (PI.f64)) (PI.f64) (*.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 4 binary64) (neg.f64 (log.f64 (*.f64 (tanh.f64 (*.f64 f (*.f64 (PI.f64) #s(literal 1/4 binary64)))) #s(literal 2 binary64))))))) (*.f64 (PI.f64) #s(literal 1/4 binary64))))
96.7%
(neg.f64 (/.f64 (fma.f64 (*.f64 #s(literal 4 binary64) (neg.f64 (log.f64 (*.f64 (tanh.f64 (*.f64 f (*.f64 (PI.f64) #s(literal 1/4 binary64)))) #s(literal 2 binary64))))) (*.f64 (PI.f64) #s(literal 1/4 binary64)) (*.f64 (PI.f64) (log.f64 #s(literal 2 binary64)))) (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64)))))
98.1%
(neg.f64 (*.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (log.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (tanh.f64 (*.f64 f (*.f64 (PI.f64) #s(literal 1/4 binary64))))) #s(literal 2 binary64)))))
95.9%
(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 f (*.f64 f (fma.f64 (*.f64 #s(literal 1/192 binary64) (*.f64 #s(literal 2 binary64) (+.f64 (PI.f64) (PI.f64)))) #s(literal -2 binary64) (*.f64 #s(literal 1/16 binary64) (+.f64 (PI.f64) (PI.f64))))) (/.f64 #s(literal 4 binary64) (PI.f64))) f)))))
95.6%
(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 (/.f64 #s(literal 2 binary64) f) (*.f64 (PI.f64) #s(literal 1/2 binary64)))))))
Compiler

Compiled 2 021 to 729 computations (63.9% saved)

regimes114.0ms (0.6%)

Memory
-9.7MiB live, 227.5MiB allocated
Counts
70 → 1
Calls
Call 1
Inputs
(*.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (log.f64 #s(approx (tanh (* (* (PI) 1/4) f)) (*.f64 f (*.f64 (PI.f64) #s(literal 1/4 binary64))))))
(/.f64 (log.f64 #s(approx (tanh (* (* (PI) 1/4) f)) (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64))))) (*.f64 (PI.f64) #s(literal 1/4 binary64)))
(/.f64 #s(literal 4 binary64) (/.f64 (PI.f64) (log.f64 #s(approx (tanh (* (* (PI) 1/4) f)) (*.f64 f (*.f64 (PI.f64) #s(literal 1/4 binary64)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) (log.f64 #s(approx (tanh (* (* (PI) 1/4) f)) (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) (log.f64 #s(approx (tanh (* (* (PI) 1/4) f)) (*.f64 f (*.f64 (PI.f64) #s(literal 1/4 binary64)))))))
(/.f64 (log.f64 #s(approx (tanh (* (* (PI) 1/4) f)) (/.f64 f (/.f64 #s(literal 4 binary64) (PI.f64))))) (*.f64 (PI.f64) #s(literal 1/4 binary64)))
(*.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 1 binary64) (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f)))))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/4 binary64) (/.f64 (log.f64 #s(approx (tanh (* (* (PI) 1/4) f)) (*.f64 f (*.f64 (PI.f64) #s(literal 1/4 binary64))))) (PI.f64))))
(*.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (log.f64 #s(approx (tanh (* (* (PI) 1/4) f)) (*.f64 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 #s(literal 2 binary64) (*.f64 f (*.f64 (PI.f64) #s(literal 1/2 binary64))))))))
(*.f64 (/.f64 #s(literal 4 binary64) (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)))) (log.f64 #s(approx (tanh (* (* (PI) 1/4) f)) (*.f64 f (*.f64 (PI.f64) #s(literal 1/4 binary64))))))
(/.f64 (log.f64 #s(approx (tanh (* (* (PI) 1/4) f)) (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64))))) (*.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))) #s(literal 1/4 binary64)))
(/.f64 (log.f64 #s(approx (tanh (* (* (PI) 1/4) f)) (*.f64 f (*.f64 #s(literal 1/4 binary64) (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))))))) (*.f64 (PI.f64) #s(literal 1/4 binary64)))
(/.f64 (log.f64 #s(approx (tanh (* (* (PI) 1/4) f)) (*.f64 f (*.f64 (PI.f64) #s(literal 1/4 binary64))))) (*.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.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 (+.f64 #s(literal 0 binary64) (/.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 (/.f64 #s(literal 2 binary64) f) (*.f64 (PI.f64) #s(literal 1/2 binary64)))))))
(*.f64 (/.f64 (log.f64 #s(approx (tanh (* (* (PI) 1/4) f)) (*.f64 f (*.f64 (PI.f64) #s(literal 1/4 binary64))))) (sqrt.f64 (PI.f64))) (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64))))
(/.f64 (*.f64 (log.f64 #s(approx (tanh (* (* (PI) 1/4) f)) (*.f64 f (*.f64 (PI.f64) #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 (* (* (PI) 1/4) f)) (*.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 (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64)))) (log.f64 #s(approx (tanh (* (* (PI) 1/4) f)) (*.f64 f (*.f64 (PI.f64) #s(literal 1/4 binary64))))))
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 1/4 binary64) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)))) (log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) #s(approx (/ 2 (* f (* (PI) 1/2))) (/.f64 #s(literal 4 binary64) (*.f64 f (PI.f64))))))))
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 1/4 binary64) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)))) (log.f64 #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 f (*.f64 (PI.f64) #s(literal 1/2 binary64))))))))
(/.f64 (log.f64 #s(approx (tanh (* (* (PI) 1/4) f)) (*.f64 f (fma.f64 (fma.f64 (*.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal -1/32 binary64))) #s(literal -1/8 binary64) (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal -7/768 binary64))) (*.f64 f f) (*.f64 (PI.f64) #s(literal 1/4 binary64)))))) (*.f64 (PI.f64) #s(literal 1/4 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 f (*.f64 (PI.f64) #s(literal 1/2 binary64))))))))
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 #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 f (*.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))) #s(literal 1/2 binary64))))))))
(/.f64 (log.f64 #s(approx (tanh (* (* (PI) 1/4) f)) (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64))))) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64)))) #s(literal 1/4 binary64)))
(*.f64 (/.f64 (log.f64 #s(approx (tanh (* (* (PI) 1/4) f)) (*.f64 f (*.f64 (PI.f64) #s(literal 1/4 binary64))))) (sqrt.f64 (sqrt.f64 (PI.f64)))) (/.f64 #s(literal 4 binary64) (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64))))))
(/.f64 (/.f64 (log.f64 #s(approx (tanh (* (* (PI) 1/4) f)) (*.f64 f (*.f64 (PI.f64) #s(literal 1/4 binary64))))) (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64))))) (*.f64 #s(literal 1/4 binary64) (sqrt.f64 (sqrt.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 f (*.f64 f (fma.f64 (*.f64 #s(literal 1/192 binary64) (*.f64 #s(literal 2 binary64) (+.f64 (PI.f64) (PI.f64)))) #s(literal -2 binary64) (*.f64 #s(literal 1/16 binary64) (+.f64 (PI.f64) (PI.f64))))) (/.f64 #s(literal 4 binary64) (PI.f64))) f)))))
(/.f64 #s(approx (log (tanh (* (* (PI) 1/4) f))) (+.f64 (log.f64 f) (log.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64))))) (*.f64 (PI.f64) #s(literal 1/4 binary64)))
(/.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (*.f64 (PI.f64) #s(literal 1/4 binary64)))
#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))))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1/4 binary64) (log.f64 (tanh.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f))))) (PI.f64)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))))
(/.f64 (*.f64 (*.f64 (PI.f64) #s(literal -1/4 binary64)) (log.f64 (tanh.f64 (*.f64 f (*.f64 (PI.f64) #s(literal 1/4 binary64)))))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal -1/16 binary64)))
(/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (/.f64 #s(literal 1 binary64) (log.f64 (tanh.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f))))))
(neg.f64 (*.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (log.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (tanh.f64 (*.f64 f (*.f64 (PI.f64) #s(literal 1/4 binary64))))) #s(literal 2 binary64)))))
(neg.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/4 binary64) (/.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (neg.f64 (PI.f64))))))
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 #s(literal 1 binary64) (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))))))
(/.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (*.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))) #s(literal 1/4 binary64)))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (*.f64 (PI.f64) #s(literal -1/4 binary64))) (*.f64 (*.f64 (PI.f64) #s(literal -1/4 binary64)) (log.f64 (tanh.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f)))))) (*.f64 (*.f64 (PI.f64) #s(literal -1/4 binary64)) (*.f64 (PI.f64) #s(literal -1/4 binary64))))
(neg.f64 (*.f64 (/.f64 (neg.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))) (sqrt.f64 (PI.f64))) (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64)))))
(neg.f64 (/.f64 (*.f64 (neg.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))) (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (PI.f64))))
(neg.f64 (*.f64 (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64))) (*.f64 (neg.f64 (log.f64 (tanh.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f))))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64))))))
(/.f64 (+.f64 (log.f64 (*.f64 #s(literal 2 binary64) (tanh.f64 (*.f64 f (*.f64 (PI.f64) #s(literal 1/4 binary64)))))) (log.f64 #s(literal 1/2 binary64))) (*.f64 (PI.f64) #s(literal 1/4 binary64)))
(/.f64 (-.f64 (log.f64 #s(literal 1/2 binary64)) (neg.f64 (log.f64 (*.f64 (tanh.f64 (*.f64 f (*.f64 (PI.f64) #s(literal 1/4 binary64)))) #s(literal 2 binary64))))) (*.f64 (PI.f64) #s(literal 1/4 binary64)))
(fma.f64 (log.f64 #s(literal 2 binary64)) (/.f64 #s(literal -4 binary64) (PI.f64)) (*.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (log.f64 (*.f64 (tanh.f64 (*.f64 f (*.f64 (PI.f64) #s(literal 1/4 binary64)))) #s(literal 2 binary64)))))
(fma.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (log.f64 (*.f64 (tanh.f64 (*.f64 f (*.f64 (PI.f64) #s(literal 1/4 binary64)))) #s(literal 2 binary64))) (/.f64 (log.f64 #s(literal 2 binary64)) (*.f64 (PI.f64) #s(literal -1/4 binary64))))
(neg.f64 (/.f64 (fma.f64 (*.f64 #s(literal 4 binary64) (neg.f64 (log.f64 (*.f64 (tanh.f64 (*.f64 f (*.f64 (PI.f64) #s(literal 1/4 binary64)))) #s(literal 2 binary64))))) (*.f64 (PI.f64) #s(literal 1/4 binary64)) (*.f64 (PI.f64) (log.f64 #s(literal 2 binary64)))) (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64)))))
(neg.f64 (/.f64 (fma.f64 (/.f64 (log.f64 #s(literal 2 binary64)) (PI.f64)) (PI.f64) (*.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 4 binary64) (neg.f64 (log.f64 (*.f64 (tanh.f64 (*.f64 f (*.f64 (PI.f64) #s(literal 1/4 binary64)))) #s(literal 2 binary64))))))) (*.f64 (PI.f64) #s(literal 1/4 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64))) (pow.f64 (*.f64 (sqrt.f64 (PI.f64)) (/.f64 #s(literal 1/4 binary64) (log.f64 (tanh.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f)))))) #s(literal -1 binary64)))
(neg.f64 (fma.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (log.f64 (/.f64 (/.f64 #s(literal 1 binary64) (tanh.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f)))) #s(literal 2 binary64))) (/.f64 (log.f64 #s(literal 2 binary64)) (*.f64 (PI.f64) #s(literal 1/4 binary64)))))
(fma.f64 (neg.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (log.f64 #s(literal 2 binary64)) (*.f64 (neg.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (log.f64 (/.f64 (/.f64 #s(literal 1 binary64) (tanh.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f)))) #s(literal 2 binary64)))))
(fma.f64 (/.f64 (log.f64 #s(literal 1/2 binary64)) (sqrt.f64 (PI.f64))) (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64))) (/.f64 (log.f64 (*.f64 #s(literal 2 binary64) (tanh.f64 (*.f64 f (*.f64 (PI.f64) #s(literal 1/4 binary64)))))) (*.f64 (PI.f64) #s(literal 1/4 binary64))))
(neg.f64 (/.f64 (fma.f64 (log.f64 (/.f64 (/.f64 #s(literal 1 binary64) (tanh.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f)))) #s(literal 2 binary64))) (*.f64 (PI.f64) #s(literal 1/4 binary64)) (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) (log.f64 #s(literal 2 binary64)))) (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) (*.f64 (PI.f64) #s(literal 1/4 binary64)))))
(neg.f64 (fma.f64 (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64))) (/.f64 (neg.f64 (log.f64 (*.f64 (tanh.f64 (*.f64 f (*.f64 (PI.f64) #s(literal 1/4 binary64)))) #s(literal 2 binary64)))) (sqrt.f64 (PI.f64))) (/.f64 (log.f64 #s(literal 2 binary64)) (*.f64 (PI.f64) #s(literal 1/4 binary64)))))
(*.f64 (pow.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) #s(literal -1/2 binary64)) (*.f64 (pow.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) #s(literal -1/2 binary64)) (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (PI.f64) (log.f64 (exp.f64 #s(literal 1/4 binary64)))) (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))))
(/.f64 (-.f64 (log1p.f64 (neg.f64 (exp.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f)) #s(literal -2 binary64))))) (log1p.f64 (exp.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f)) #s(literal -2 binary64))))) (*.f64 (PI.f64) #s(literal 1/4 binary64)))
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (-.f64 (log.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))) (log.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))))))
(fma.f64 (/.f64 #s(literal -4 binary64) (PI.f64)) (log.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))) (*.f64 (/.f64 #s(literal -4 binary64) (PI.f64)) (neg.f64 (log.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))))))
(-.f64 (/.f64 (log1p.f64 (neg.f64 (exp.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f)) #s(literal -2 binary64))))) (*.f64 (PI.f64) #s(literal 1/4 binary64))) (/.f64 (log1p.f64 (exp.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f)) #s(literal -2 binary64)))) (*.f64 (PI.f64) #s(literal 1/4 binary64))))
(/.f64 (-.f64 (log1p.f64 (neg.f64 (exp.f64 (*.f64 (*.f64 f (*.f64 (PI.f64) #s(literal 1/4 binary64))) #s(literal -2 binary64))))) (log1p.f64 (exp.f64 (*.f64 (*.f64 f (*.f64 (PI.f64) #s(literal 1/4 binary64))) #s(literal -2 binary64))))) (*.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))) #s(literal 1/4 binary64)))
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (+.f64 (log.f64 #s(literal 2 binary64)) (-.f64 (log.f64 (cosh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (log.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))))))))
(*.f64 (neg.f64 (pow.f64 (/.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (*.f64 (PI.f64) #s(literal -1/4 binary64))) #s(literal 2 binary64))) (/.f64 (*.f64 (PI.f64) #s(literal -1/4 binary64)) (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))))
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #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))))))))
(neg.f64 (*.f64 (*.f64 (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.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))))))))
(*.f64 (neg.f64 (pow.f64 (/.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (*.f64 (PI.f64) #s(literal -1/4 binary64))) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (/.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (*.f64 (PI.f64) #s(literal -1/4 binary64))) #s(literal 2 binary64)) #s(literal 0 binary64))))
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (/.f64 (-.f64 (pow.f64 (log.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))) #s(literal 2 binary64)) (*.f64 (neg.f64 (log.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))))) (neg.f64 (log.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))))))) (-.f64 (log.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))) (neg.f64 (log.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))))))))
(neg.f64 (/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) (-.f64 (pow.f64 (log.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))) #s(literal 3 binary64)) (pow.f64 (log.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))) #s(literal 3 binary64)))) (*.f64 #s(literal 1/4 binary64) (+.f64 (pow.f64 (log.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))) #s(literal 2 binary64)) (*.f64 (log.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))) (+.f64 (log.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))) (log.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))))))))))
Outputs
(/.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (*.f64 (PI.f64) #s(literal 1/4 binary64)))
Calls

6 calls:

22.0ms
(*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)
20.0ms
f
20.0ms
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))))))
17.0ms
(*.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)))))))
16.0ms
(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
98.2%1f
98.2%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))))))))
98.2%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)))))))
98.2%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))))))
98.2%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)))))
98.2%1(*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)
Compiler

Compiled 144 to 60 computations (58.3% saved)

regimes56.0ms (0.3%)

Memory
2.7MiB live, 123.6MiB allocated
Counts
30 → 1
Calls
Call 1
Inputs
(*.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (log.f64 #s(approx (tanh (* (* (PI) 1/4) f)) (*.f64 f (*.f64 (PI.f64) #s(literal 1/4 binary64))))))
(/.f64 (log.f64 #s(approx (tanh (* (* (PI) 1/4) f)) (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64))))) (*.f64 (PI.f64) #s(literal 1/4 binary64)))
(/.f64 #s(literal 4 binary64) (/.f64 (PI.f64) (log.f64 #s(approx (tanh (* (* (PI) 1/4) f)) (*.f64 f (*.f64 (PI.f64) #s(literal 1/4 binary64)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) (log.f64 #s(approx (tanh (* (* (PI) 1/4) f)) (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) (log.f64 #s(approx (tanh (* (* (PI) 1/4) f)) (*.f64 f (*.f64 (PI.f64) #s(literal 1/4 binary64)))))))
(/.f64 (log.f64 #s(approx (tanh (* (* (PI) 1/4) f)) (/.f64 f (/.f64 #s(literal 4 binary64) (PI.f64))))) (*.f64 (PI.f64) #s(literal 1/4 binary64)))
(*.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 1 binary64) (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f)))))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/4 binary64) (/.f64 (log.f64 #s(approx (tanh (* (* (PI) 1/4) f)) (*.f64 f (*.f64 (PI.f64) #s(literal 1/4 binary64))))) (PI.f64))))
(*.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (log.f64 #s(approx (tanh (* (* (PI) 1/4) f)) (*.f64 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 #s(literal 2 binary64) (*.f64 f (*.f64 (PI.f64) #s(literal 1/2 binary64))))))))
(*.f64 (/.f64 #s(literal 4 binary64) (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)))) (log.f64 #s(approx (tanh (* (* (PI) 1/4) f)) (*.f64 f (*.f64 (PI.f64) #s(literal 1/4 binary64))))))
(/.f64 (log.f64 #s(approx (tanh (* (* (PI) 1/4) f)) (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64))))) (*.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))) #s(literal 1/4 binary64)))
(/.f64 (log.f64 #s(approx (tanh (* (* (PI) 1/4) f)) (*.f64 f (*.f64 #s(literal 1/4 binary64) (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))))))) (*.f64 (PI.f64) #s(literal 1/4 binary64)))
(/.f64 (log.f64 #s(approx (tanh (* (* (PI) 1/4) f)) (*.f64 f (*.f64 (PI.f64) #s(literal 1/4 binary64))))) (*.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.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 (+.f64 #s(literal 0 binary64) (/.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 (/.f64 #s(literal 2 binary64) f) (*.f64 (PI.f64) #s(literal 1/2 binary64)))))))
(*.f64 (/.f64 (log.f64 #s(approx (tanh (* (* (PI) 1/4) f)) (*.f64 f (*.f64 (PI.f64) #s(literal 1/4 binary64))))) (sqrt.f64 (PI.f64))) (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64))))
(/.f64 (*.f64 (log.f64 #s(approx (tanh (* (* (PI) 1/4) f)) (*.f64 f (*.f64 (PI.f64) #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 (* (* (PI) 1/4) f)) (*.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 (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64)))) (log.f64 #s(approx (tanh (* (* (PI) 1/4) f)) (*.f64 f (*.f64 (PI.f64) #s(literal 1/4 binary64))))))
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 1/4 binary64) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)))) (log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) #s(approx (/ 2 (* f (* (PI) 1/2))) (/.f64 #s(literal 4 binary64) (*.f64 f (PI.f64))))))))
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 1/4 binary64) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)))) (log.f64 #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 f (*.f64 (PI.f64) #s(literal 1/2 binary64))))))))
(/.f64 (log.f64 #s(approx (tanh (* (* (PI) 1/4) f)) (*.f64 f (fma.f64 (fma.f64 (*.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal -1/32 binary64))) #s(literal -1/8 binary64) (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal -7/768 binary64))) (*.f64 f f) (*.f64 (PI.f64) #s(literal 1/4 binary64)))))) (*.f64 (PI.f64) #s(literal 1/4 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 f (*.f64 (PI.f64) #s(literal 1/2 binary64))))))))
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 #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 f (*.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))) #s(literal 1/2 binary64))))))))
(/.f64 (log.f64 #s(approx (tanh (* (* (PI) 1/4) f)) (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64))))) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64)))) #s(literal 1/4 binary64)))
(*.f64 (/.f64 (log.f64 #s(approx (tanh (* (* (PI) 1/4) f)) (*.f64 f (*.f64 (PI.f64) #s(literal 1/4 binary64))))) (sqrt.f64 (sqrt.f64 (PI.f64)))) (/.f64 #s(literal 4 binary64) (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64))))))
(/.f64 (/.f64 (log.f64 #s(approx (tanh (* (* (PI) 1/4) f)) (*.f64 f (*.f64 (PI.f64) #s(literal 1/4 binary64))))) (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64))))) (*.f64 #s(literal 1/4 binary64) (sqrt.f64 (sqrt.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 f (*.f64 f (fma.f64 (*.f64 #s(literal 1/192 binary64) (*.f64 #s(literal 2 binary64) (+.f64 (PI.f64) (PI.f64)))) #s(literal -2 binary64) (*.f64 #s(literal 1/16 binary64) (+.f64 (PI.f64) (PI.f64))))) (/.f64 #s(literal 4 binary64) (PI.f64))) f)))))
(/.f64 #s(approx (log (tanh (* (* (PI) 1/4) f))) (+.f64 (log.f64 f) (log.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64))))) (*.f64 (PI.f64) #s(literal 1/4 binary64)))
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 f (*.f64 f (fma.f64 (*.f64 #s(literal 1/192 binary64) (*.f64 #s(literal 2 binary64) (+.f64 (PI.f64) (PI.f64)))) #s(literal -2 binary64) (*.f64 #s(literal 1/16 binary64) (+.f64 (PI.f64) (PI.f64))))) (/.f64 #s(literal 4 binary64) (PI.f64))) f)))))
Calls

6 calls:

13.0ms
f
12.0ms
(*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)
9.0ms
(*.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)))))))
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
95.9%1f
95.9%1(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))))))
95.9%1(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))))))
95.9%1(log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))))
95.9%1(/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))))
95.9%1(*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)
Compiler

Compiled 144 to 60 computations (58.3% saved)

regimes48.0ms (0.3%)

Memory
7.6MiB live, 124.1MiB allocated
Counts
28 → 1
Calls
Call 1
Inputs
(*.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (log.f64 #s(approx (tanh (* (* (PI) 1/4) f)) (*.f64 f (*.f64 (PI.f64) #s(literal 1/4 binary64))))))
(/.f64 (log.f64 #s(approx (tanh (* (* (PI) 1/4) f)) (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64))))) (*.f64 (PI.f64) #s(literal 1/4 binary64)))
(/.f64 #s(literal 4 binary64) (/.f64 (PI.f64) (log.f64 #s(approx (tanh (* (* (PI) 1/4) f)) (*.f64 f (*.f64 (PI.f64) #s(literal 1/4 binary64)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) (log.f64 #s(approx (tanh (* (* (PI) 1/4) f)) (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) (log.f64 #s(approx (tanh (* (* (PI) 1/4) f)) (*.f64 f (*.f64 (PI.f64) #s(literal 1/4 binary64)))))))
(/.f64 (log.f64 #s(approx (tanh (* (* (PI) 1/4) f)) (/.f64 f (/.f64 #s(literal 4 binary64) (PI.f64))))) (*.f64 (PI.f64) #s(literal 1/4 binary64)))
(*.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 1 binary64) (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f)))))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/4 binary64) (/.f64 (log.f64 #s(approx (tanh (* (* (PI) 1/4) f)) (*.f64 f (*.f64 (PI.f64) #s(literal 1/4 binary64))))) (PI.f64))))
(*.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (log.f64 #s(approx (tanh (* (* (PI) 1/4) f)) (*.f64 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 #s(literal 2 binary64) (*.f64 f (*.f64 (PI.f64) #s(literal 1/2 binary64))))))))
(*.f64 (/.f64 #s(literal 4 binary64) (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)))) (log.f64 #s(approx (tanh (* (* (PI) 1/4) f)) (*.f64 f (*.f64 (PI.f64) #s(literal 1/4 binary64))))))
(/.f64 (log.f64 #s(approx (tanh (* (* (PI) 1/4) f)) (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64))))) (*.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))) #s(literal 1/4 binary64)))
(/.f64 (log.f64 #s(approx (tanh (* (* (PI) 1/4) f)) (*.f64 f (*.f64 #s(literal 1/4 binary64) (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))))))) (*.f64 (PI.f64) #s(literal 1/4 binary64)))
(/.f64 (log.f64 #s(approx (tanh (* (* (PI) 1/4) f)) (*.f64 f (*.f64 (PI.f64) #s(literal 1/4 binary64))))) (*.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.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 (+.f64 #s(literal 0 binary64) (/.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 (/.f64 #s(literal 2 binary64) f) (*.f64 (PI.f64) #s(literal 1/2 binary64)))))))
(*.f64 (/.f64 (log.f64 #s(approx (tanh (* (* (PI) 1/4) f)) (*.f64 f (*.f64 (PI.f64) #s(literal 1/4 binary64))))) (sqrt.f64 (PI.f64))) (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64))))
(/.f64 (*.f64 (log.f64 #s(approx (tanh (* (* (PI) 1/4) f)) (*.f64 f (*.f64 (PI.f64) #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 (* (* (PI) 1/4) f)) (*.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 (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64)))) (log.f64 #s(approx (tanh (* (* (PI) 1/4) f)) (*.f64 f (*.f64 (PI.f64) #s(literal 1/4 binary64))))))
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 1/4 binary64) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)))) (log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) #s(approx (/ 2 (* f (* (PI) 1/2))) (/.f64 #s(literal 4 binary64) (*.f64 f (PI.f64))))))))
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 1/4 binary64) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)))) (log.f64 #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 f (*.f64 (PI.f64) #s(literal 1/2 binary64))))))))
(/.f64 (log.f64 #s(approx (tanh (* (* (PI) 1/4) f)) (*.f64 f (fma.f64 (fma.f64 (*.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal -1/32 binary64))) #s(literal -1/8 binary64) (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal -7/768 binary64))) (*.f64 f f) (*.f64 (PI.f64) #s(literal 1/4 binary64)))))) (*.f64 (PI.f64) #s(literal 1/4 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 f (*.f64 (PI.f64) #s(literal 1/2 binary64))))))))
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 #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 f (*.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))) #s(literal 1/2 binary64))))))))
(/.f64 (log.f64 #s(approx (tanh (* (* (PI) 1/4) f)) (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64))))) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64)))) #s(literal 1/4 binary64)))
(*.f64 (/.f64 (log.f64 #s(approx (tanh (* (* (PI) 1/4) f)) (*.f64 f (*.f64 (PI.f64) #s(literal 1/4 binary64))))) (sqrt.f64 (sqrt.f64 (PI.f64)))) (/.f64 #s(literal 4 binary64) (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64))))))
(/.f64 (/.f64 (log.f64 #s(approx (tanh (* (* (PI) 1/4) f)) (*.f64 f (*.f64 (PI.f64) #s(literal 1/4 binary64))))) (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64))))) (*.f64 #s(literal 1/4 binary64) (sqrt.f64 (sqrt.f64 (PI.f64)))))
Outputs
(/.f64 (log.f64 #s(approx (tanh (* (* (PI) 1/4) f)) (*.f64 f (fma.f64 (fma.f64 (*.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal -1/32 binary64))) #s(literal -1/8 binary64) (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal -7/768 binary64))) (*.f64 f f) (*.f64 (PI.f64) #s(literal 1/4 binary64)))))) (*.f64 (PI.f64) #s(literal 1/4 binary64)))
Calls

6 calls:

8.0ms
(/.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)))))
8.0ms
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))))))
8.0ms
(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))))))))
8.0ms
(*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)
8.0ms
f
Results
AccuracySegmentsBranch
95.7%1f
95.7%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))))))))
95.7%1(*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)
95.7%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)))))))
95.7%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))))))
95.7%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)))))
Compiler

Compiled 144 to 60 computations (58.3% saved)

regimes40.0ms (0.2%)

Memory
-11.9MiB live, 76.7MiB allocated
Counts
22 → 1
Calls
Call 1
Inputs
(*.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (log.f64 #s(approx (tanh (* (* (PI) 1/4) f)) (*.f64 f (*.f64 (PI.f64) #s(literal 1/4 binary64))))))
(/.f64 (log.f64 #s(approx (tanh (* (* (PI) 1/4) f)) (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64))))) (*.f64 (PI.f64) #s(literal 1/4 binary64)))
(/.f64 #s(literal 4 binary64) (/.f64 (PI.f64) (log.f64 #s(approx (tanh (* (* (PI) 1/4) f)) (*.f64 f (*.f64 (PI.f64) #s(literal 1/4 binary64)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) (log.f64 #s(approx (tanh (* (* (PI) 1/4) f)) (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) (log.f64 #s(approx (tanh (* (* (PI) 1/4) f)) (*.f64 f (*.f64 (PI.f64) #s(literal 1/4 binary64)))))))
(/.f64 (log.f64 #s(approx (tanh (* (* (PI) 1/4) f)) (/.f64 f (/.f64 #s(literal 4 binary64) (PI.f64))))) (*.f64 (PI.f64) #s(literal 1/4 binary64)))
(*.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 1 binary64) (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f)))))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/4 binary64) (/.f64 (log.f64 #s(approx (tanh (* (* (PI) 1/4) f)) (*.f64 f (*.f64 (PI.f64) #s(literal 1/4 binary64))))) (PI.f64))))
(*.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (log.f64 #s(approx (tanh (* (* (PI) 1/4) f)) (*.f64 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 #s(literal 2 binary64) (*.f64 f (*.f64 (PI.f64) #s(literal 1/2 binary64))))))))
(*.f64 (/.f64 #s(literal 4 binary64) (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)))) (log.f64 #s(approx (tanh (* (* (PI) 1/4) f)) (*.f64 f (*.f64 (PI.f64) #s(literal 1/4 binary64))))))
(/.f64 (log.f64 #s(approx (tanh (* (* (PI) 1/4) f)) (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64))))) (*.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))) #s(literal 1/4 binary64)))
(/.f64 (log.f64 #s(approx (tanh (* (* (PI) 1/4) f)) (*.f64 f (*.f64 #s(literal 1/4 binary64) (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))))))) (*.f64 (PI.f64) #s(literal 1/4 binary64)))
(/.f64 (log.f64 #s(approx (tanh (* (* (PI) 1/4) f)) (*.f64 f (*.f64 (PI.f64) #s(literal 1/4 binary64))))) (*.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.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 (+.f64 #s(literal 0 binary64) (/.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 (/.f64 #s(literal 2 binary64) f) (*.f64 (PI.f64) #s(literal 1/2 binary64)))))))
(*.f64 (/.f64 (log.f64 #s(approx (tanh (* (* (PI) 1/4) f)) (*.f64 f (*.f64 (PI.f64) #s(literal 1/4 binary64))))) (sqrt.f64 (PI.f64))) (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64))))
(/.f64 (*.f64 (log.f64 #s(approx (tanh (* (* (PI) 1/4) f)) (*.f64 f (*.f64 (PI.f64) #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 (* (* (PI) 1/4) f)) (*.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 (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64)))) (log.f64 #s(approx (tanh (* (* (PI) 1/4) f)) (*.f64 f (*.f64 (PI.f64) #s(literal 1/4 binary64))))))
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 1/4 binary64) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)))) (log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) #s(approx (/ 2 (* f (* (PI) 1/2))) (/.f64 #s(literal 4 binary64) (*.f64 f (PI.f64))))))))
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 1/4 binary64) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)))) (log.f64 #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 f (*.f64 (PI.f64) #s(literal 1/2 binary64))))))))
Outputs
(/.f64 (log.f64 #s(approx (tanh (* (* (PI) 1/4) f)) (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64))))) (*.f64 (PI.f64) #s(literal 1/4 binary64)))
Calls

6 calls:

10.0ms
(*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)
7.0ms
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))))))
6.0ms
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)))))
5.0ms
(log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))))
Results
AccuracySegmentsBranch
95.7%1f
95.7%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))))))))
95.7%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)))))))
95.7%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))))))
95.7%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)))))
95.7%1(*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)
Compiler

Compiled 144 to 60 computations (58.3% saved)

regimes7.0ms (0%)

Memory
12.1MiB live, 12.1MiB 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 (* (* (PI) 1/4) f)) (*.f64 f (*.f64 (PI.f64) #s(literal 1/4 binary64))))))
Outputs
(*.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (log.f64 #s(approx (tanh (* (* (PI) 1/4) f)) (*.f64 f (*.f64 (PI.f64) #s(literal 1/4 binary64))))))
Calls

6 calls:

1.0ms
(*.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
(/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))))
1.0ms
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))))))
Results
AccuracySegmentsBranch
95.6%1f
95.6%1(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))))))
95.6%1(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))))))
95.6%1(log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))))
95.6%1(/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))))
95.6%1(*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)
Compiler

Compiled 144 to 60 computations (58.3% saved)

simplify43.0ms (0.2%)

Memory
-24.6MiB live, 13.1MiB allocated
Algorithm
egg-herbie
Rules
46×*-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
065143
188143
2101143
3114142
4126142
5154142
6192142
7195142
Stop Event
saturated
Calls
Call 1
Inputs
(/.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 f (*.f64 f (fma.f64 (*.f64 #s(literal 1/192 binary64) (*.f64 #s(literal 2 binary64) (+.f64 (PI.f64) (PI.f64)))) #s(literal -2 binary64) (*.f64 #s(literal 1/16 binary64) (+.f64 (PI.f64) (PI.f64))))) (/.f64 #s(literal 4 binary64) (PI.f64))) f)))))
(/.f64 (log.f64 #s(approx (tanh (* (* (PI) 1/4) f)) (*.f64 f (fma.f64 (fma.f64 (*.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal -1/32 binary64))) #s(literal -1/8 binary64) (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal -7/768 binary64))) (*.f64 f f) (*.f64 (PI.f64) #s(literal 1/4 binary64)))))) (*.f64 (PI.f64) #s(literal 1/4 binary64)))
(/.f64 (log.f64 #s(approx (tanh (* (* (PI) 1/4) f)) (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64))))) (*.f64 (PI.f64) #s(literal 1/4 binary64)))
(*.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (log.f64 #s(approx (tanh (* (* (PI) 1/4) f)) (*.f64 f (*.f64 (PI.f64) #s(literal 1/4 binary64))))))
Outputs
(/.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 f (*.f64 f (fma.f64 (*.f64 #s(literal 1/192 binary64) (*.f64 #s(literal 2 binary64) (+.f64 (PI.f64) (PI.f64)))) #s(literal -2 binary64) (*.f64 #s(literal 1/16 binary64) (+.f64 (PI.f64) (PI.f64))))) (/.f64 #s(literal 4 binary64) (PI.f64))) f)))))
(*.f64 (log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (fma.f64 f (*.f64 f (fma.f64 (*.f64 #s(literal 1/192 binary64) (*.f64 #s(literal 2 binary64) (+.f64 (PI.f64) (PI.f64)))) #s(literal -2 binary64) (*.f64 (+.f64 (PI.f64) (PI.f64)) #s(literal 1/16 binary64)))) (/.f64 #s(literal 4 binary64) (PI.f64))) f))) (/.f64 #s(literal -1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))))
(/.f64 (log.f64 #s(approx (tanh (* (* (PI) 1/4) f)) (*.f64 f (fma.f64 (fma.f64 (*.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal -1/32 binary64))) #s(literal -1/8 binary64) (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal -7/768 binary64))) (*.f64 f f) (*.f64 (PI.f64) #s(literal 1/4 binary64)))))) (*.f64 (PI.f64) #s(literal 1/4 binary64)))
(/.f64 (log.f64 #s(approx (tanh (* (* (PI) 1/4) f)) (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64))))) (*.f64 (PI.f64) #s(literal 1/4 binary64)))
(/.f64 (log.f64 #s(approx (tanh (* (* (PI) 1/4) f)) (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (*.f64 (PI.f64) #s(literal 1/4 binary64)))
(*.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (log.f64 #s(approx (tanh (* (* (PI) 1/4) f)) (*.f64 f (*.f64 (PI.f64) #s(literal 1/4 binary64))))))
(*.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (log.f64 #s(approx (tanh (* (* (PI) 1/4) f)) (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))))

soundness663.0ms (3.7%)

Memory
6.3MiB live, 518.8MiB allocated
Rules
11 044×lower-fma.f64
11 044×lower-fma.f32
7 296×lower-fma.f64
7 296×lower-fma.f32
7 122×lower-fma.f64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
05379446
118198072
080907767
01978498
16057141
224346142
086805937
016154
029100
111952
278352
0856152
059339
098265
1390244
22540241
08639241
01901850
15531668
221121484
090531459
Stop Event
fuel
iter limit
node limit
iter limit
node limit
iter limit
iter limit
node limit
iter limit
iter limit
node limit
iter limit
node limit
Compiler

Compiled 322 to 154 computations (52.2% saved)

preprocess84.0ms (0.5%)

Memory
16.1MiB live, 110.9MiB allocated
Compiler

Compiled 268 to 120 computations (55.2% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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