VandenBroeck and Keller, Equation (20)

Time bar (total: 20.7s)

analyze202.0ms (1%)

Memory
21.1MiB live, 257.2MiB 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)

sample5.8s (27.9%)

Memory
149.1MiB live, 6 008.5MiB allocated
Samples
2.3s7 623×1valid
2.2s7 205×1invalid
210.0ms152×2valid
58.0ms481×0valid
1.0ms10×0invalid
0.0ms0exit
Precisions
Click to see histograms. Total time spent on operations: 4.1s
ival-exp: 1.3s (32.4% of total)
ival-div: 614.0ms (15.1% of total)
ival-mult: 612.0ms (15.1% of total)
ival-log: 366.0ms (9% of total)
adjust: 361.0ms (8.9% of total)
ival-neg: 319.0ms (7.9% of total)
ival-pi: 161.0ms (4% of total)
ival-add: 147.0ms (3.6% of total)
ival-sub: 134.0ms (3.3% of total)
exact: 14.0ms (0.3% of total)
ival-true: 12.0ms (0.3% of total)
ival-assert: 6.0ms (0.1% of total)
Bogosity

preprocess514.0ms (2.5%)

Memory
-12.8MiB live, 526.3MiB 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)))

explain483.0ms (2.3%)

Memory
-36.7MiB live, 811.7MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
2490-1(0.006474252188476852)(-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))
70-0-(/.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)))))
00-0-(exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))
00-0-(exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))
07(1292414.7394191443)0-(log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))))
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))))cancellation2481
/.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/o70
(exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))overflow7
(+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))overflow7
(exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))overflow7
(-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))overflow7
log.f64(log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))))sensitivity70
Confusion
Predicted +Predicted -
+2550
-01
Precision
1.0
Recall
1.0
Confusion?
Predicted +Predicted MaybePredicted -
+25500
-010
Precision?
0.99609375
Recall?
1.0
Freqs
test
numberfreq
01
1248
27
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
225.0ms480×1valid
22.0ms14×2valid
2.0ms18×0valid
Compiler

Compiled 472 to 68 computations (85.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 204.0ms
ival-log: 85.0ms (41.8% of total)
ival-exp: 34.0ms (16.7% of total)
adjust: 32.0ms (15.7% of total)
ival-div: 18.0ms (8.8% of total)
ival-mult: 12.0ms (5.9% of total)
ival-neg: 8.0ms (3.9% of total)
ival-pi: 6.0ms (2.9% of total)
ival-sub: 4.0ms (2% of total)
ival-add: 4.0ms (2% of total)
exact: 1.0ms (0.5% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

eval0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated
Compiler

Compiled 1 to 1 computations (0% saved)

prune1.0ms (0%)

Memory
1.8MiB live, 1.8MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
5.4%
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #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)

simplify306.0ms (1.5%)

Memory
-3.9MiB live, 396.5MiB 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)))))

localize105.0ms (0.5%)

Memory
25.2MiB live, 143.4MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy99.6%
(*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)
accuracy99.4%
(*.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)))))))
accuracy97.0%
(/.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)))))
accuracy10.0%
(-.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))))
Samples
66.0ms240×1valid
7.0ms2valid
1.0ms0valid
Compiler

Compiled 198 to 18 computations (90.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 59.0ms
ival-exp: 19.0ms (32.3% of total)
ival-div: 9.0ms (15.3% of total)
ival-log: 8.0ms (13.6% of total)
adjust: 6.0ms (10.2% of total)
ival-mult: 6.0ms (10.2% of total)
ival-neg: 4.0ms (6.8% of total)
ival-pi: 2.0ms (3.4% of total)
ival-sub: 2.0ms (3.4% of total)
ival-add: 2.0ms (3.4% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series94.0ms (0.5%)

Memory
14.1MiB live, 129.4MiB allocated
Counts
7 → 60
Calls
Call 1
Inputs
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#s(alt (/.f64 (PI.f64) #s(literal 4 binary64)) (patch (/.f64 (PI.f64) #s(literal 4 binary64)) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (patch (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) #<representation binary64>) () ())
#s(alt (neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))))))) (patch (neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))))))) #<representation binary64>) () ())
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#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>) () ())
#s(alt (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f) (patch (*.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>) () ())) ())
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#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
45.0ms
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))))))))
36.0ms
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)))))

simplify653.0ms (3.1%)

Memory
-21.0MiB live, 754.1MiB allocated
Algorithm
egg-herbie
Rules
18 550×lower-fma.f64
18 550×lower-fma.f32
3 724×lower-*.f64
3 724×lower-*.f32
2 180×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01711490
14841364
217481236
370341196
091621178
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)))
(- (* -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))))
(- (* 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))))) (* 4 (/ (+ (log (/ 2 (- (* 1/4 (PI)) (* -1/4 (PI))))) (* -1 (log f))) (PI))))
(- (* f (- (* 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))))) (* 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))))) (* 4 (/ (+ (log (/ 2 (- (* 1/4 (PI)) (* -1/4 (PI))))) (* -1 (log f))) (PI))))
(* -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)))
(* -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)))
(* -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)))
(* -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)))
(* -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)))
(* -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)))
(* -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)))
(* -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)))
(* f (- (* 1/4 (PI)) (* -1/4 (PI))))
(* f (- (+ (* 1/4 (PI)) (* (pow f 2) (- (* 1/384 (pow (PI) 3)) (* -1/384 (pow (PI) 3))))) (* -1/4 (PI))))
(* f (- (+ (* 1/4 (PI)) (* (pow f 2) (- (+ (* 1/384 (pow (PI) 3)) (* (pow f 2) (- (* 1/122880 (pow (PI) 5)) (* -1/122880 (pow (PI) 5))))) (* -1/384 (pow (PI) 3))))) (* -1/4 (PI))))
(* f (- (+ (* 1/4 (PI)) (* (pow f 2) (- (+ (* 1/384 (pow (PI) 3)) (* (pow f 2) (- (+ (* 1/122880 (pow (PI) 5)) (* (pow f 2) (- (* 1/82575360 (pow (PI) 7)) (* -1/82575360 (pow (PI) 7))))) (* -1/122880 (pow (PI) 5))))) (* -1/384 (pow (PI) 3))))) (* -1/4 (PI))))
(- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI))))))
(- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI))))))
(- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI))))))
(- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI))))))
(- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI))))))
(- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI))))))
(- (exp (* 1/4 (* f (PI)))) (exp (neg (* 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)))
(+ (* 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))))
(+ (* 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))))))
(+ (* 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))))))))
(* 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)))
(* 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)))
(* 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)))
(* 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)))
(* 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)))
(* 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)))
(* 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)))
(* 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)))
(* 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)))
Outputs
(/ 2 (* f (- (* 1/4 (PI)) (* -1/4 (PI)))))
(/.f64 #s(literal 2 binary64) (*.f64 f (*.f64 (PI.f64) #s(literal 1/2 binary64))))
(/ (+ (* 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)
(/.f64 #s(literal 2 binary64) (*.f64 f (*.f64 (PI.f64) #s(literal 1/2 binary64))))
(/ (+ (* 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)
(/.f64 (fma.f64 f (*.f64 f (fma.f64 (*.f64 (PI.f64) #s(literal 1/48 binary64)) #s(literal -2 binary64) (*.f64 (PI.f64) #s(literal 1/8 binary64)))) (/.f64 #s(literal 4 binary64) (PI.f64))) 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)
(/.f64 (fma.f64 f (*.f64 f (fma.f64 (*.f64 (PI.f64) #s(literal 1/48 binary64)) #s(literal -2 binary64) (*.f64 (PI.f64) #s(literal 1/8 binary64)))) (/.f64 #s(literal 4 binary64) (PI.f64))) f)
(/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI)))))))
(/.f64 (+.f64 (exp.f64 (*.f64 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))))))
(/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI)))))))
(/.f64 (+.f64 (exp.f64 (*.f64 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))))))
(/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI)))))))
(/.f64 (+.f64 (exp.f64 (*.f64 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))))))
(/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI)))))))
(/.f64 (+.f64 (exp.f64 (*.f64 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))))))
(/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI)))))))
(/.f64 (+.f64 (exp.f64 (*.f64 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))))))
(/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI)))))))
(/.f64 (+.f64 (exp.f64 (*.f64 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))))))
(/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI)))))))
(/.f64 (+.f64 (exp.f64 (*.f64 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))))))
(/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI)))))))
(/.f64 (+.f64 (exp.f64 (*.f64 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))))))
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(*.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)))
(* 1/4 (* f (PI)))
(*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))
(* 1/4 (* f (PI)))
(*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))
(* 1/4 (* f (PI)))
(*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))
(* 1/4 (* f (PI)))
(*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))
(* 1/4 (* f (PI)))
(*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))
(* 1/4 (* f (PI)))
(*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))
(* 1/4 (* f (PI)))
(*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))
(* 1/4 (* f (PI)))
(*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))
(* 1/4 (* f (PI)))
(*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))
(* 1/4 (* f (PI)))
(*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))
(* 1/4 (* f (PI)))
(*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))
(* 1/4 (* f (PI)))
(*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))

rewrite325.0ms (1.6%)

Memory
6.1MiB live, 580.9MiB allocated
Algorithm
batch-egg-rewrite
Rules
5 070×lower-*.f32
5 066×lower-*.f64
3 230×lower-fma.f64
3 230×lower-fma.f32
3 206×lower-/.f32
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
016129
02987
111949
278349
0856149
Stop Event
iter limit
node limit
iter limit
Counts
7 → 556
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))))
(*.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 (PI.f64) #s(literal 4 binary64)) f)
Outputs
(+.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (sinh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (exp.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (*.f64 (/.f64 #s(literal 1/2 binary64) (sinh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (exp.f64 (*.f64 f (*.f64 (PI.f64) #s(literal -1/4 binary64))))))
(+.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (sinh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (exp.f64 (*.f64 f (*.f64 (PI.f64) #s(literal -1/4 binary64))))) (*.f64 (/.f64 #s(literal 1/2 binary64) (sinh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (exp.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))))
(+.f64 (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (-.f64 (exp.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 3/4 binary64))) (exp.f64 (neg.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 3/4 binary64)))))) (exp.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/2 binary64)))) (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (-.f64 (exp.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 3/4 binary64))) (exp.f64 (neg.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 3/4 binary64)))))) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/2 binary64)))))))
(+.f64 (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (-.f64 (exp.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 3/4 binary64))) (exp.f64 (neg.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 3/4 binary64)))))) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/2 binary64)))))) (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (-.f64 (exp.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 3/4 binary64))) (exp.f64 (neg.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 3/4 binary64)))))) (exp.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/2 binary64)))))
(+.f64 (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (-.f64 (exp.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 3/4 binary64))) (exp.f64 (neg.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 3/4 binary64)))))) (+.f64 (exp.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/2 binary64))) (exp.f64 (neg.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/2 binary64)))))) (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (-.f64 (exp.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 3/4 binary64))) (exp.f64 (neg.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 3/4 binary64)))))) #s(literal 1 binary64)))
(+.f64 (*.f64 (exp.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)) (/.f64 #s(literal 1/2 binary64) (sinh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))) (*.f64 (exp.f64 (*.f64 f (*.f64 (PI.f64) #s(literal -1/4 binary64)))) (/.f64 #s(literal 1/2 binary64) (sinh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))))
(+.f64 (*.f64 (exp.f64 (*.f64 f (*.f64 (PI.f64) #s(literal -1/4 binary64)))) (/.f64 #s(literal 1/2 binary64) (sinh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))) (*.f64 (exp.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)) (/.f64 #s(literal 1/2 binary64) (sinh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))))
(+.f64 (*.f64 (exp.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/2 binary64))) (/.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (-.f64 (exp.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 3/4 binary64))) (exp.f64 (neg.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 3/4 binary64))))))) (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/2 binary64))))) (/.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (-.f64 (exp.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 3/4 binary64))) (exp.f64 (neg.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 3/4 binary64))))))))
(+.f64 (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/2 binary64))))) (/.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (-.f64 (exp.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 3/4 binary64))) (exp.f64 (neg.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 3/4 binary64))))))) (*.f64 (exp.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/2 binary64))) (/.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (-.f64 (exp.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 3/4 binary64))) (exp.f64 (neg.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 3/4 binary64))))))))
(+.f64 (*.f64 (+.f64 (exp.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/2 binary64))) (exp.f64 (neg.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/2 binary64))))) (/.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (-.f64 (exp.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 3/4 binary64))) (exp.f64 (neg.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 3/4 binary64))))))) (*.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (-.f64 (exp.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 3/4 binary64))) (exp.f64 (neg.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 3/4 binary64))))))))
(exp.f64 (*.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))))
(-.f64 (/.f64 (/.f64 (exp.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/2 binary64))) (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))) (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))) (/.f64 (/.f64 (exp.f64 (neg.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/2 binary64)))) (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))) (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))))
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 (sinh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)) #s(literal -2 binary64))) (neg.f64 (/.f64 #s(literal 1 binary64) (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))))
(-.f64 (/.f64 (exp.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/2 binary64))) (pow.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) #s(literal 2 binary64))) (/.f64 (exp.f64 (neg.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/2 binary64)))) (pow.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) #s(literal 2 binary64))))
(fma.f64 (exp.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)) (/.f64 #s(literal 1/2 binary64) (sinh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (*.f64 (exp.f64 (*.f64 f (*.f64 (PI.f64) #s(literal -1/4 binary64)))) (/.f64 #s(literal 1/2 binary64) (sinh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))))
(fma.f64 (exp.f64 (*.f64 f (*.f64 (PI.f64) #s(literal -1/4 binary64)))) (/.f64 #s(literal 1/2 binary64) (sinh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (*.f64 (exp.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)) (/.f64 #s(literal 1/2 binary64) (sinh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))))
(fma.f64 (exp.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/2 binary64))) (/.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (-.f64 (exp.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 3/4 binary64))) (exp.f64 (neg.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 3/4 binary64)))))) (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/2 binary64))))) (/.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (-.f64 (exp.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 3/4 binary64))) (exp.f64 (neg.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 3/4 binary64))))))))
(fma.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/2 binary64))))) (/.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (-.f64 (exp.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 3/4 binary64))) (exp.f64 (neg.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 3/4 binary64)))))) (*.f64 (exp.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/2 binary64))) (/.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (-.f64 (exp.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 3/4 binary64))) (exp.f64 (neg.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 3/4 binary64))))))))
(fma.f64 (/.f64 #s(literal 1/2 binary64) (sinh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (exp.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)) (*.f64 (/.f64 #s(literal 1/2 binary64) (sinh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (exp.f64 (*.f64 f (*.f64 (PI.f64) #s(literal -1/4 binary64))))))
(fma.f64 (/.f64 #s(literal 1/2 binary64) (sinh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (exp.f64 (*.f64 f (*.f64 (PI.f64) #s(literal -1/4 binary64)))) (*.f64 (/.f64 #s(literal 1/2 binary64) (sinh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (exp.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))))
(fma.f64 (+.f64 (exp.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/2 binary64))) (exp.f64 (neg.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/2 binary64))))) (/.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (-.f64 (exp.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 3/4 binary64))) (exp.f64 (neg.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 3/4 binary64)))))) (*.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (-.f64 (exp.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 3/4 binary64))) (exp.f64 (neg.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 3/4 binary64))))))))
(fma.f64 (/.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (-.f64 (exp.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 3/4 binary64))) (exp.f64 (neg.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 3/4 binary64)))))) (exp.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/2 binary64))) (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (-.f64 (exp.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 3/4 binary64))) (exp.f64 (neg.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 3/4 binary64)))))) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/2 binary64)))))))
(fma.f64 (/.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (-.f64 (exp.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 3/4 binary64))) (exp.f64 (neg.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 3/4 binary64)))))) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/2 binary64))))) (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (-.f64 (exp.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 3/4 binary64))) (exp.f64 (neg.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 3/4 binary64)))))) (exp.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/2 binary64)))))
(fma.f64 (/.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (-.f64 (exp.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 3/4 binary64))) (exp.f64 (neg.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 3/4 binary64)))))) (+.f64 (exp.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/2 binary64))) (exp.f64 (neg.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/2 binary64))))) (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (-.f64 (exp.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 3/4 binary64))) (exp.f64 (neg.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 3/4 binary64)))))) #s(literal 1 binary64)))
(neg.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))))
(neg.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))))))
(neg.f64 (/.f64 #s(literal -1 binary64) (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))))
(/.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))))
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(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (PI.f64))) (/.f64 f #s(literal -4 binary64)))
(*.f64 (*.f64 f (pow.f64 (PI.f64) #s(literal 2/3 binary64))) (*.f64 (cbrt.f64 (PI.f64)) #s(literal 1/4 binary64)))
(*.f64 (*.f64 f (sqrt.f64 (PI.f64))) (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/4 binary64)))

eval180.0ms (0.9%)

Memory
7.0MiB live, 437.9MiB allocated
Compiler

Compiled 39 804 to 4 665 computations (88.3% saved)

prune144.0ms (0.7%)

Memory
-0.8MiB live, 369.6MiB allocated
Pruning

13 alts after pruning (13 fresh and 0 done)

PrunedKeptTotal
New95913972
Fresh000
Picked101
Done000
Total96013973
Accuracy
100.0%
Counts
973 → 13
Alt Table
Click to see full alt table
StatusAccuracyProgram
96.5%
(/.f64 (neg.f64 (pow.f64 (/.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (*.f64 (PI.f64) #s(literal -1/4 binary64))) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (*.f64 (PI.f64) #s(literal -1/4 binary64))) #s(literal 2 binary64)) #s(literal 0 binary64)))
99.5%
(/.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (*.f64 (PI.f64) #s(literal 1/4 binary64)))
96.6%
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (*.f64 (PI.f64) #s(literal -1/4 binary64))) (neg.f64 (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)))))
99.4%
(/.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)))))
96.6%
(-.f64 (/.f64 (log.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))) (*.f64 (PI.f64) #s(literal -1/4 binary64))) (/.f64 (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))))
99.4%
(*.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)))))
96.4%
(*.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)))))
99.3%
(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))))
99.3%
(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)))))
96.7%
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (fma.f64 f (*.f64 f (fma.f64 (*.f64 (PI.f64) #s(literal 1/48 binary64)) #s(literal -2 binary64) (*.f64 (PI.f64) #s(literal 1/8 binary64)))) (/.f64 #s(literal 4 binary64) (PI.f64))) f)))))
96.3%
(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))))))))
96.7%
#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)))))))) (fma.f64 (-.f64 (neg.f64 (log.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)))) (log.f64 f)) (/.f64 #s(literal -4 binary64) (PI.f64)) (*.f64 f (*.f64 (*.f64 (*.f64 f (*.f64 (PI.f64) #s(literal 1/2 binary64))) (fma.f64 (*.f64 (PI.f64) #s(literal 1/48 binary64)) #s(literal -2 binary64) (*.f64 (PI.f64) #s(literal 1/8 binary64)))) (/.f64 #s(literal -2 binary64) (PI.f64))))))
96.4%
#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 #s(literal -4 binary64) (-.f64 (neg.f64 (log.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)))) (log.f64 f))) (PI.f64)))
Compiler

Compiled 578 to 382 computations (33.9% saved)

simplify215.0ms (1%)

Memory
2.2MiB live, 428.7MiB allocated
Algorithm
egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
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)))
cost-diff0
(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))
cost-diff0
(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)))
cost-diff128
(*.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)))))
cost-diff128
(fma.f64 (-.f64 (neg.f64 (log.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)))) (log.f64 f)) (/.f64 #s(literal -4 binary64) (PI.f64)) (*.f64 f (*.f64 (*.f64 (*.f64 f (*.f64 (PI.f64) #s(literal 1/2 binary64))) (fma.f64 (*.f64 (PI.f64) #s(literal 1/48 binary64)) #s(literal -2 binary64) (*.f64 (PI.f64) #s(literal 1/8 binary64)))) (/.f64 #s(literal -2 binary64) (PI.f64)))))
cost-diff320
(*.f64 (*.f64 f (*.f64 (PI.f64) #s(literal 1/2 binary64))) (fma.f64 (*.f64 (PI.f64) #s(literal 1/48 binary64)) #s(literal -2 binary64) (*.f64 (PI.f64) #s(literal 1/8 binary64))))
cost-diff704
(fma.f64 (*.f64 (PI.f64) #s(literal 1/48 binary64)) #s(literal -2 binary64) (*.f64 (PI.f64) #s(literal 1/8 binary64)))
cost-diff1216
(*.f64 (*.f64 (*.f64 f (*.f64 (PI.f64) #s(literal 1/2 binary64))) (fma.f64 (*.f64 (PI.f64) #s(literal 1/48 binary64)) #s(literal -2 binary64) (*.f64 (PI.f64) #s(literal 1/8 binary64)))) (/.f64 #s(literal -2 binary64) (PI.f64)))
cost-diff0
(PI.f64)
cost-diff0
(*.f64 (PI.f64) #s(literal 1/4 binary64))
cost-diff0
(/.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))))
cost-diff704
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))))
cost-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
5 742×lower-*.f32
5 716×lower-*.f64
3 430×lower-fma.f32
3 426×lower-fma.f64
2 368×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
062593
0101585
1215541
2608518
32313516
45936500
08316498
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
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (fma.f64 (-.f64 (neg.f64 (log.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)))) (log.f64 f)) (/.f64 #s(literal -4 binary64) (PI.f64)) (*.f64 f (*.f64 (*.f64 (*.f64 f (*.f64 (PI.f64) #s(literal 1/2 binary64))) (fma.f64 (*.f64 (PI.f64) #s(literal 1/48 binary64)) #s(literal -2 binary64) (*.f64 (PI.f64) #s(literal 1/8 binary64)))) (/.f64 #s(literal -2 binary64) (PI.f64))))))
(fma.f64 (-.f64 (neg.f64 (log.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)))) (log.f64 f)) (/.f64 #s(literal -4 binary64) (PI.f64)) (*.f64 f (*.f64 (*.f64 (*.f64 f (*.f64 (PI.f64) #s(literal 1/2 binary64))) (fma.f64 (*.f64 (PI.f64) #s(literal 1/48 binary64)) #s(literal -2 binary64) (*.f64 (PI.f64) #s(literal 1/8 binary64)))) (/.f64 #s(literal -2 binary64) (PI.f64)))))
(-.f64 (neg.f64 (log.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)))) (log.f64 f))
(neg.f64 (log.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64))))
(log.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)))
(*.f64 #s(literal 1/4 binary64) (PI.f64))
#s(literal 1/4 binary64)
(PI.f64)
(log.f64 f)
f
(/.f64 #s(literal -4 binary64) (PI.f64))
#s(literal -4 binary64)
(*.f64 f (*.f64 (*.f64 (*.f64 f (*.f64 (PI.f64) #s(literal 1/2 binary64))) (fma.f64 (*.f64 (PI.f64) #s(literal 1/48 binary64)) #s(literal -2 binary64) (*.f64 (PI.f64) #s(literal 1/8 binary64)))) (/.f64 #s(literal -2 binary64) (PI.f64))))
(*.f64 (*.f64 (*.f64 f (*.f64 (PI.f64) #s(literal 1/2 binary64))) (fma.f64 (*.f64 (PI.f64) #s(literal 1/48 binary64)) #s(literal -2 binary64) (*.f64 (PI.f64) #s(literal 1/8 binary64)))) (/.f64 #s(literal -2 binary64) (PI.f64)))
(*.f64 (*.f64 f (*.f64 (PI.f64) #s(literal 1/2 binary64))) (fma.f64 (*.f64 (PI.f64) #s(literal 1/48 binary64)) #s(literal -2 binary64) (*.f64 (PI.f64) #s(literal 1/8 binary64))))
(*.f64 f (*.f64 (PI.f64) #s(literal 1/2 binary64)))
(*.f64 (PI.f64) #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
(fma.f64 (*.f64 (PI.f64) #s(literal 1/48 binary64)) #s(literal -2 binary64) (*.f64 (PI.f64) #s(literal 1/8 binary64)))
(*.f64 (PI.f64) #s(literal 1/48 binary64))
#s(literal 1/48 binary64)
#s(literal -2 binary64)
(*.f64 (PI.f64) #s(literal 1/8 binary64))
#s(literal 1/8 binary64)
(/.f64 #s(literal -2 binary64) (PI.f64))
(*.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 (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)))
(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 (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
(*.f64 (PI.f64) #s(literal -1/4 binary64))
#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))))
Outputs
(/.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 #s(literal 1/4 binary64) (*.f64 (PI.f64) f)))) (*.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 #s(literal 1/4 binary64) (*.f64 (PI.f64) f))))
(tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))
(tanh.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f)))
(*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)
(*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) 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 #s(literal 1/4 binary64) (*.f64 (PI.f64) f)))) (*.f64 (PI.f64) #s(literal 1/4 binary64)))
#s(literal 1 binary64)
(/.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))))
(/.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) (log.f64 (tanh.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f)))))
(*.f64 (PI.f64) #s(literal 1/4 binary64))
(PI.f64)
#s(literal 1/4 binary64)
(log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))
(log.f64 (tanh.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f))))
(tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))
(tanh.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f)))
(*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)
(*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f))
f
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (fma.f64 (-.f64 (neg.f64 (log.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)))) (log.f64 f)) (/.f64 #s(literal -4 binary64) (PI.f64)) (*.f64 f (*.f64 (*.f64 (*.f64 f (*.f64 (PI.f64) #s(literal 1/2 binary64))) (fma.f64 (*.f64 (PI.f64) #s(literal 1/48 binary64)) #s(literal -2 binary64) (*.f64 (PI.f64) #s(literal 1/8 binary64)))) (/.f64 #s(literal -2 binary64) (PI.f64))))))
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (fma.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (+.f64 (log.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64))) (log.f64 f)) (*.f64 f (*.f64 (*.f64 f (neg.f64 (PI.f64))) #s(literal 1/12 binary64)))))
(fma.f64 (-.f64 (neg.f64 (log.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)))) (log.f64 f)) (/.f64 #s(literal -4 binary64) (PI.f64)) (*.f64 f (*.f64 (*.f64 (*.f64 f (*.f64 (PI.f64) #s(literal 1/2 binary64))) (fma.f64 (*.f64 (PI.f64) #s(literal 1/48 binary64)) #s(literal -2 binary64) (*.f64 (PI.f64) #s(literal 1/8 binary64)))) (/.f64 #s(literal -2 binary64) (PI.f64)))))
(fma.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (+.f64 (log.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64))) (log.f64 f)) (*.f64 f (*.f64 (*.f64 f (neg.f64 (PI.f64))) #s(literal 1/12 binary64))))
(-.f64 (neg.f64 (log.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)))) (log.f64 f))
(-.f64 (neg.f64 (log.f64 f)) (log.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64))))
(neg.f64 (log.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64))))
(neg.f64 (log.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64))))
(log.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)))
(log.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)))
(*.f64 #s(literal 1/4 binary64) (PI.f64))
(*.f64 (PI.f64) #s(literal 1/4 binary64))
#s(literal 1/4 binary64)
(PI.f64)
(log.f64 f)
f
(/.f64 #s(literal -4 binary64) (PI.f64))
#s(literal -4 binary64)
(*.f64 f (*.f64 (*.f64 (*.f64 f (*.f64 (PI.f64) #s(literal 1/2 binary64))) (fma.f64 (*.f64 (PI.f64) #s(literal 1/48 binary64)) #s(literal -2 binary64) (*.f64 (PI.f64) #s(literal 1/8 binary64)))) (/.f64 #s(literal -2 binary64) (PI.f64))))
(*.f64 f (*.f64 (*.f64 f (neg.f64 (PI.f64))) #s(literal 1/12 binary64)))
(*.f64 (*.f64 (*.f64 f (*.f64 (PI.f64) #s(literal 1/2 binary64))) (fma.f64 (*.f64 (PI.f64) #s(literal 1/48 binary64)) #s(literal -2 binary64) (*.f64 (PI.f64) #s(literal 1/8 binary64)))) (/.f64 #s(literal -2 binary64) (PI.f64)))
(*.f64 (*.f64 f (neg.f64 (PI.f64))) #s(literal 1/12 binary64))
(*.f64 (*.f64 f (*.f64 (PI.f64) #s(literal 1/2 binary64))) (fma.f64 (*.f64 (PI.f64) #s(literal 1/48 binary64)) #s(literal -2 binary64) (*.f64 (PI.f64) #s(literal 1/8 binary64))))
(*.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) #s(literal 1/24 binary64)) f))
(*.f64 f (*.f64 (PI.f64) #s(literal 1/2 binary64)))
(*.f64 (PI.f64) #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
(fma.f64 (*.f64 (PI.f64) #s(literal 1/48 binary64)) #s(literal -2 binary64) (*.f64 (PI.f64) #s(literal 1/8 binary64)))
(*.f64 (PI.f64) #s(literal 1/12 binary64))
(*.f64 (PI.f64) #s(literal 1/48 binary64))
#s(literal 1/48 binary64)
#s(literal -2 binary64)
(*.f64 (PI.f64) #s(literal 1/8 binary64))
#s(literal 1/8 binary64)
(/.f64 #s(literal -2 binary64) (PI.f64))
(*.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)))))
(/.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 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))) (log.f64 (tanh.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f)))))
(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)))
(neg.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)))
(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))
(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 (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 #s(literal 1/4 binary64) (*.f64 (PI.f64) f)))) (*.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 #s(literal 1/4 binary64) (*.f64 (PI.f64) f))))
(tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))
(tanh.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f)))
(*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)
(*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f))
(*.f64 (PI.f64) #s(literal 1/4 binary64))
(PI.f64)
#s(literal 1/4 binary64)
f
(*.f64 (PI.f64) #s(literal -1/4 binary64))
#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))))
(/.f64 (*.f64 (PI.f64) #s(literal -1/4 binary64)) (log.f64 (tanh.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f)))))

localize468.0ms (2.3%)

Memory
-5.9MiB live, 650.1MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy99.5%
(/.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (*.f64 (PI.f64) #s(literal -1/4 binary64)))
accuracy99.5%
(*.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)))))
accuracy99.3%
(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))
accuracy97.4%
(PI.f64)
accuracy98.5%
(fma.f64 (*.f64 (PI.f64) #s(literal 1/48 binary64)) #s(literal -2 binary64) (*.f64 (PI.f64) #s(literal 1/8 binary64)))
accuracy98.5%
(*.f64 (PI.f64) #s(literal 1/48 binary64))
accuracy97.6%
(log.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)))
accuracy97.4%
(PI.f64)
accuracy99.7%
(*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)
accuracy99.6%
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))))
accuracy99.6%
(/.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))))
accuracy97.4%
(PI.f64)
accuracy99.6%
(/.f64 #s(literal 2 binary64) (*.f64 f (*.f64 (PI.f64) #s(literal 1/2 binary64))))
accuracy99.4%
#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)))))
accuracy99.4%
(*.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)))))))
accuracy97.4%
(PI.f64)
accuracy100.0%
(tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))
accuracy99.7%
(*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)
accuracy99.5%
(/.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (*.f64 (PI.f64) #s(literal 1/4 binary64)))
accuracy97.4%
(PI.f64)
Samples
214.0ms240×1valid
89.0ms5exit
12.0ms0valid
Compiler

Compiled 536 to 58 computations (89.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 266.0ms
ival-log: 84.0ms (31.6% of total)
ival-mult: 51.0ms (19.2% of total)
ival-div: 42.0ms (15.8% of total)
ival-exp: 26.0ms (9.8% of total)
adjust: 21.0ms (7.9% of total)
ival-tanh: 10.0ms (3.8% of total)
ival-neg: 8.0ms (3% of total)
ival-add: 7.0ms (2.6% of total)
ival-sub: 5.0ms (1.9% of total)
ival-pow2: 5.0ms (1.9% of total)
const: 4.0ms (1.5% of total)
ival-pi: 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)

series188.0ms (0.9%)

Memory
3.2MiB live, 99.2MiB allocated
Counts
23 → 204
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 (*.f64 f (*.f64 (PI.f64) #s(literal 1/2 binary64))) (fma.f64 (*.f64 (PI.f64) #s(literal 1/48 binary64)) #s(literal -2 binary64) (*.f64 (PI.f64) #s(literal 1/8 binary64)))) (/.f64 #s(literal -2 binary64) (PI.f64))) (patch (*.f64 (*.f64 (*.f64 f (*.f64 (PI.f64) #s(literal 1/2 binary64))) (fma.f64 (*.f64 (PI.f64) #s(literal 1/48 binary64)) #s(literal -2 binary64) (*.f64 (PI.f64) #s(literal 1/8 binary64)))) (/.f64 #s(literal -2 binary64) (PI.f64))) #<representation binary64>) () ())
#s(alt (fma.f64 (*.f64 (PI.f64) #s(literal 1/48 binary64)) #s(literal -2 binary64) (*.f64 (PI.f64) #s(literal 1/8 binary64))) (patch (fma.f64 (*.f64 (PI.f64) #s(literal 1/48 binary64)) #s(literal -2 binary64) (*.f64 (PI.f64) #s(literal 1/8 binary64))) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 f (*.f64 (PI.f64) #s(literal 1/2 binary64))) (fma.f64 (*.f64 (PI.f64) #s(literal 1/48 binary64)) #s(literal -2 binary64) (*.f64 (PI.f64) #s(literal 1/8 binary64)))) (patch (*.f64 (*.f64 f (*.f64 (PI.f64) #s(literal 1/2 binary64))) (fma.f64 (*.f64 (PI.f64) #s(literal 1/48 binary64)) #s(literal -2 binary64) (*.f64 (PI.f64) #s(literal 1/8 binary64)))) #<representation binary64>) () ())
#s(alt (fma.f64 (-.f64 (neg.f64 (log.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)))) (log.f64 f)) (/.f64 #s(literal -4 binary64) (PI.f64)) (*.f64 f (*.f64 (*.f64 (*.f64 f (*.f64 (PI.f64) #s(literal 1/2 binary64))) (fma.f64 (*.f64 (PI.f64) #s(literal 1/48 binary64)) #s(literal -2 binary64) (*.f64 (PI.f64) #s(literal 1/8 binary64)))) (/.f64 #s(literal -2 binary64) (PI.f64))))) (patch (fma.f64 (-.f64 (neg.f64 (log.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)))) (log.f64 f)) (/.f64 #s(literal -4 binary64) (PI.f64)) (*.f64 f (*.f64 (*.f64 (*.f64 f (*.f64 (PI.f64) #s(literal 1/2 binary64))) (fma.f64 (*.f64 (PI.f64) #s(literal 1/48 binary64)) #s(literal -2 binary64) (*.f64 (PI.f64) #s(literal 1/8 binary64)))) (/.f64 #s(literal -2 binary64) (PI.f64))))) #<representation binary64>) () ())
#s(alt (*.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))))) (patch (*.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))))) #<representation binary64>) () ())
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#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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Outputs
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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>) () ())) ())
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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>) () ())) ())
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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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#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 (* 1/4 (* f (PI))) (taylor 0 f) (#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>) () ())) ())
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#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 #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 (/ (+ (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 #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 (/ (+ (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 #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>) () ())) ())
Calls

51 calls:

TimeVariablePointExpression
86.0ms
f
@-inf
(/ (log (tanh (* (* (PI) 1/4) f))) (* (PI) 1/4))
29.0ms
f
@inf
(* (* f (* (PI) 1/2)) (+ (* (* (PI) 1/48) -2) (* (PI) 1/8)))
25.0ms
f
@inf
(/ (log (tanh (* (* (PI) 1/4) f))) (* (PI) 1/4))
9.0ms
f
@0
(+ (* (- (neg (log (* 1/4 (PI)))) (log f)) (/ -4 (PI))) (* f (* (* (* f (* (PI) 1/2)) (+ (* (* (PI) 1/48) -2) (* (PI) 1/8))) (/ -2 (PI)))))
4.0ms
f
@0
(neg (pow (/ (log (tanh (* (* (PI) 1/4) f))) (* (PI) -1/4)) 2))

simplify431.0ms (2.1%)

Memory
-1.5MiB live, 189.8MiB allocated
Algorithm
egg-herbie
Rules
4 498×lower-*.f64
4 498×lower-*.f32
4 492×lower-fma.f64
4 492×lower-fma.f32
1 832×times-frac
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04207268
114056329
264255548
088745361
Stop Event
iter limit
node limit
Counts
204 → 204
Calls
Call 1
Inputs
(* 4 (/ (+ (log f) (log (* 1/4 (PI)))) (PI)))
(+ (* 4 (/ (+ (log f) (log (* 1/4 (PI)))) (PI))) (* 8 (/ (* f (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2)))) (pow (PI) 2))))
(+ (* 4 (/ (+ (log f) (log (* 1/4 (PI)))) (PI))) (* f (+ (* 2 (/ (* f (+ (* -4 (/ (pow (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) 2) (pow (PI) 2))) (* 8 (/ (- (* 1/2 (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (+ (* -1/128 (pow (PI) 3)) (* 1/192 (pow (PI) 3))))) (* 1/128 (pow (PI) 3))) (PI))))) (PI))) (* 8 (/ (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) (pow (PI) 2))))))
(+ (* 4 (/ (+ (log f) (log (* 1/4 (PI)))) (PI))) (* f (+ (* 8 (/ (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) (pow (PI) 2))) (* f (+ (* 2/3 (/ (* f (+ (* -48 (/ (* (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) (- (* 1/2 (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (+ (* -1/128 (pow (PI) 3)) (* 1/192 (pow (PI) 3))))) (* 1/128 (pow (PI) 3)))) (pow (PI) 2))) (+ (* 16 (/ (pow (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) 3) (pow (PI) 3))) (* 24 (/ (- (* 1/2 (+ (* -1/4 (* (PI) (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (+ (* -1/128 (pow (PI) 3)) (* 1/384 (pow (PI) 3)))))) (+ (* -1/32 (* (pow (PI) 2) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (+ (* -1/1536 (pow (PI) 4)) (* 1/3072 (pow (PI) 4)))))) (+ (* -1/8 (* (PI) (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (* -1/128 (pow (PI) 3))))) (* 1/64 (* (pow (PI) 2) (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))))))) (PI)))))) (PI))) (* 2 (/ (+ (* -4 (/ (pow (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) 2) (pow (PI) 2))) (* 8 (/ (- (* 1/2 (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (+ (* -1/128 (pow (PI) 3)) (* 1/192 (pow (PI) 3))))) (* 1/128 (pow (PI) 3))) (PI)))) (PI))))))))
(* 4 (/ (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)))))))
(/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))
(/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))
(/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))
(/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))
(/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))
(/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))
(* 1/4 (* 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)))
(/ 4 (* f (PI)))
(/ 4 (* f (PI)))
(/ 4 (* f (PI)))
(/ 4 (* f (PI)))
(/ 4 (* f (PI)))
(/ 4 (* f (PI)))
(/ 4 (* f (PI)))
(/ 4 (* f (PI)))
(/ 4 (* f (PI)))
(/ 4 (* f (PI)))
(* -4 (/ (+ (log (/ 2 (- (* 1/4 (PI)) (* -1/4 (PI))))) (* -1 (log f))) (PI)))
(- (* -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))))
(- (* 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))))) (* 4 (/ (+ (log (/ 2 (- (* 1/4 (PI)) (* -1/4 (PI))))) (* -1 (log f))) (PI))))
(- (* f (- (* 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))))) (* 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))))) (* 4 (/ (+ (log (/ 2 (- (* 1/4 (PI)) (* -1/4 (PI))))) (* -1 (log f))) (PI))))
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(/.f64 #s(literal 2 binary64) (*.f64 f (*.f64 (PI.f64) #s(literal 1/2 binary64))))
(/ (+ (* 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)
(/.f64 (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 (PI.f64) #s(literal 1/2 binary64))) #s(literal 0 binary64)) 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)
(/.f64 (fma.f64 f (*.f64 f (fma.f64 #s(literal -2 binary64) (*.f64 #s(literal 1/192 binary64) (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) #s(literal 2 binary64)))) (*.f64 #s(literal 1/16 binary64) (*.f64 (PI.f64) #s(literal 2 binary64))))) (/.f64 #s(literal 2 binary64) (*.f64 (PI.f64) #s(literal 1/2 binary64)))) 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)
(/.f64 (fma.f64 f (*.f64 f (fma.f64 #s(literal -2 binary64) (*.f64 #s(literal 1/192 binary64) (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) #s(literal 2 binary64)))) (*.f64 #s(literal 1/16 binary64) (*.f64 (PI.f64) #s(literal 2 binary64))))) (/.f64 #s(literal 2 binary64) (*.f64 (PI.f64) #s(literal 1/2 binary64)))) f)
(/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI)))))))
(/.f64 (+.f64 (exp.f64 (*.f64 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 (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI)))))))
(/.f64 (+.f64 (exp.f64 (*.f64 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 (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI)))))))
(/.f64 (+.f64 (exp.f64 (*.f64 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 (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI)))))))
(/.f64 (+.f64 (exp.f64 (*.f64 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 (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI)))))))
(/.f64 (+.f64 (exp.f64 (*.f64 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 (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI)))))))
(/.f64 (+.f64 (exp.f64 (*.f64 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 (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI)))))))
(/.f64 (+.f64 (exp.f64 (*.f64 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 (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI)))))))
(/.f64 (+.f64 (exp.f64 (*.f64 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))))))

rewrite623.0ms (3%)

Memory
18.8MiB live, 405.9MiB allocated
Algorithm
batch-egg-rewrite
Rules
5 008×lower-*.f32
4 982×lower-*.f64
3 490×lower-fma.f32
3 486×lower-fma.f64
3 360×lower-/.f32
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
057338
095254
1355229
22529229
08608229
Stop Event
iter limit
node limit
iter limit
Counts
23 → 1 137
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 (*.f64 f (*.f64 (PI.f64) #s(literal 1/2 binary64))) (fma.f64 (*.f64 (PI.f64) #s(literal 1/48 binary64)) #s(literal -2 binary64) (*.f64 (PI.f64) #s(literal 1/8 binary64)))) (/.f64 #s(literal -2 binary64) (PI.f64)))
(fma.f64 (*.f64 (PI.f64) #s(literal 1/48 binary64)) #s(literal -2 binary64) (*.f64 (PI.f64) #s(literal 1/8 binary64)))
(*.f64 (*.f64 f (*.f64 (PI.f64) #s(literal 1/2 binary64))) (fma.f64 (*.f64 (PI.f64) #s(literal 1/48 binary64)) #s(literal -2 binary64) (*.f64 (PI.f64) #s(literal 1/8 binary64))))
(fma.f64 (-.f64 (neg.f64 (log.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)))) (log.f64 f)) (/.f64 #s(literal -4 binary64) (PI.f64)) (*.f64 f (*.f64 (*.f64 (*.f64 f (*.f64 (PI.f64) #s(literal 1/2 binary64))) (fma.f64 (*.f64 (PI.f64) #s(literal 1/48 binary64)) #s(literal -2 binary64) (*.f64 (PI.f64) #s(literal 1/8 binary64)))) (/.f64 #s(literal -2 binary64) (PI.f64)))))
(*.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 (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)))
(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 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (*.f64 (PI.f64) #s(literal -1/4 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 (*.f64 #s(literal 1/4 binary64) (PI.f64)))
(*.f64 (PI.f64) #s(literal 1/48 binary64))
Outputs
(exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))) (*.f64 (PI.f64) #s(literal -1/4 binary64))))
(neg.f64 (/.f64 (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))) (*.f64 (PI.f64) #s(literal -1/4 binary64))))
(/.f64 (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))) (*.f64 (PI.f64) #s(literal 1/4 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/4 binary64) (/.f64 (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))) (PI.f64))))
(/.f64 #s(literal 1 binary64) (/.f64 (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))) (*.f64 (*.f64 (PI.f64) #s(literal -1/4 binary64)) (neg.f64 (pow.f64 (/.f64 (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))) (*.f64 (PI.f64) #s(literal -1/4 binary64))) #s(literal 2 binary64))))))
(/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (/.f64 #s(literal 1 binary64) (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))))))
(/.f64 (neg.f64 (pow.f64 (/.f64 (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))) (*.f64 (PI.f64) #s(literal -1/4 binary64))) #s(literal 2 binary64))) (/.f64 (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))) (*.f64 (PI.f64) #s(literal -1/4 binary64))))
(/.f64 #s(literal -1 binary64) (/.f64 (*.f64 (PI.f64) #s(literal -1/4 binary64)) (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))))))
(/.f64 (neg.f64 (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))))) (*.f64 (PI.f64) #s(literal -1/4 binary64)))
(/.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) (/.f64 #s(literal 1/4 binary64) (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))))))
(/.f64 (*.f64 (*.f64 (PI.f64) #s(literal -1/4 binary64)) (neg.f64 (pow.f64 (/.f64 (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))) (*.f64 (PI.f64) #s(literal -1/4 binary64))) #s(literal 2 binary64)))) (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))))
(/.f64 (/.f64 (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))) (PI.f64)) #s(literal 1/4 binary64))
(/.f64 (*.f64 (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))) #s(literal 1 binary64)) (*.f64 (PI.f64) #s(literal 1/4 binary64)))
(/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))))) (*.f64 (PI.f64) #s(literal -1/4 binary64)))
(/.f64 (*.f64 #s(literal 1 binary64) (/.f64 (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))) (PI.f64))) #s(literal 1/4 binary64))
(/.f64 (neg.f64 (/.f64 (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))) (PI.f64))) #s(literal -1/4 binary64))
(/.f64 (neg.f64 (*.f64 (*.f64 (PI.f64) #s(literal -1/4 binary64)) (neg.f64 (pow.f64 (/.f64 (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))) (*.f64 (PI.f64) #s(literal -1/4 binary64))) #s(literal 2 binary64))))) (neg.f64 (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))))))
(/.f64 (/.f64 (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))) #s(literal 1/4 binary64)) (PI.f64))
(/.f64 (*.f64 (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))) #s(literal -1 binary64)) (*.f64 (PI.f64) #s(literal -1/4 binary64)))
(/.f64 (*.f64 (neg.f64 (pow.f64 (/.f64 (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))) (*.f64 (PI.f64) #s(literal -1/4 binary64))) #s(literal 2 binary64))) #s(literal 1 binary64)) (/.f64 (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))) (*.f64 (PI.f64) #s(literal -1/4 binary64))))
(/.f64 (*.f64 (neg.f64 (pow.f64 (/.f64 (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))) (*.f64 (PI.f64) #s(literal -1/4 binary64))) #s(literal 2 binary64))) (*.f64 (PI.f64) #s(literal 1/4 binary64))) (neg.f64 (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))))))
(/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (/.f64 (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))) (*.f64 (PI.f64) #s(literal -1/4 binary64))) #s(literal 2 binary64)))) (/.f64 (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))) (*.f64 (PI.f64) #s(literal -1/4 binary64))))
(/.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) (neg.f64 (pow.f64 (/.f64 (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))) (*.f64 (PI.f64) #s(literal -1/4 binary64))) #s(literal 2 binary64)))) (neg.f64 (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))))))
(pow.f64 (/.f64 (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))) (*.f64 (PI.f64) #s(literal 1/4 binary64))) #s(literal 1 binary64))
(pow.f64 (/.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))))) #s(literal -1 binary64))
(pow.f64 (pow.f64 (/.f64 (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))) (*.f64 (PI.f64) #s(literal -1/4 binary64))) #s(literal -2 binary64)) #s(literal -1/2 binary64))
(pow.f64 (/.f64 #s(literal 1/4 binary64) (/.f64 (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))) (PI.f64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))) (*.f64 (*.f64 (PI.f64) #s(literal -1/4 binary64)) (neg.f64 (pow.f64 (/.f64 (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))) (*.f64 (PI.f64) #s(literal -1/4 binary64))) #s(literal 2 binary64))))) #s(literal -1 binary64))
(pow.f64 (pow.f64 (/.f64 (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))) (*.f64 (PI.f64) #s(literal 1/4 binary64))) #s(literal 1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (exp.f64 (log.f64 (/.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))))))) #s(literal -1 binary64))
(*.f64 (PI.f64) (*.f64 (/.f64 #s(literal -1/4 binary64) (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))))) (neg.f64 (pow.f64 (/.f64 (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))) (*.f64 (PI.f64) #s(literal -1/4 binary64))) #s(literal 2 binary64)))))
(*.f64 (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))) (/.f64 #s(literal 4 binary64) (PI.f64)))
(*.f64 (/.f64 (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))) (*.f64 (PI.f64) #s(literal 1/4 binary64))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))) (*.f64 (PI.f64) #s(literal 1/4 binary64))))
(*.f64 #s(literal 4 binary64) (/.f64 (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))) (PI.f64)))
(*.f64 #s(literal 4 binary64) (pow.f64 (*.f64 (PI.f64) (/.f64 #s(literal 1 binary64) (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))))) #s(literal -1 binary64)))
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(*.f64 (*.f64 (pow.f64 (/.f64 (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))) (*.f64 (PI.f64) #s(literal -1/4 binary64))) #s(literal 2 binary64)) (*.f64 (PI.f64) #s(literal -1/4 binary64))) (/.f64 #s(literal 1 binary64) (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))))))
(*.f64 (*.f64 (pow.f64 (/.f64 (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))) (*.f64 (PI.f64) #s(literal -1/4 binary64))) #s(literal 2 binary64)) (PI.f64)) (/.f64 #s(literal -1/4 binary64) (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))))))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (PI.f64) #s(literal 2/3 binary64))) (pow.f64 (*.f64 (cbrt.f64 (PI.f64)) (/.f64 #s(literal -1/4 binary64) (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))))) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64))) (pow.f64 (*.f64 (sqrt.f64 (PI.f64)) (/.f64 #s(literal -1/4 binary64) (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (neg.f64 (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))))) #s(literal -1 binary64)) (/.f64 #s(literal 4 binary64) (PI.f64)))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (/.f64 (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))) (PI.f64))) #s(literal -1 binary64)) #s(literal -4 binary64))
(*.f64 (pow.f64 (neg.f64 (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))))) #s(literal 1 binary64)) (/.f64 #s(literal 4 binary64) (PI.f64)))
(*.f64 (pow.f64 (/.f64 (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))) (PI.f64)) #s(literal 1 binary64)) #s(literal -4 binary64))
(*.f64 (pow.f64 (sqrt.f64 (/.f64 (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))) (*.f64 (PI.f64) #s(literal -1/4 binary64)))) #s(literal 1 binary64)) (pow.f64 (sqrt.f64 (/.f64 (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))) (*.f64 (PI.f64) #s(literal -1/4 binary64)))) #s(literal 1 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal -1/4 binary64) (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (PI.f64)))
(*.f64 (exp.f64 (log.f64 (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))))) (exp.f64 (neg.f64 (log.f64 (*.f64 (PI.f64) #s(literal -1/4 binary64))))))
#s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 #s(literal -1 binary64) (*.f64 f (*.f64 (PI.f64) #s(literal -1/4 binary64)))))
(log.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)))
(+.f64 (log.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64))) #s(literal 0 binary64))
(+.f64 (log.f64 #s(literal 1/4 binary64)) (log.f64 (PI.f64)))
(+.f64 (log.f64 #s(literal 1/4 binary64)) (log.f64 (/.f64 (PI.f64) #s(literal 1 binary64))))
(+.f64 (log.f64 (PI.f64)) (log.f64 #s(literal 1/4 binary64)))
(+.f64 #s(literal 0 binary64) (log.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64))))
(+.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/3 binary64) (log.f64 (PI.f64)))) (log.f64 (*.f64 (cbrt.f64 (PI.f64)) #s(literal 1/4 binary64))))
(+.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/3 binary64) (log.f64 (PI.f64)))) (log.f64 (/.f64 (cbrt.f64 (PI.f64)) #s(literal 4 binary64))))
(+.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (PI.f64))) (log.f64 (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/4 binary64))))
(+.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (PI.f64))) (log.f64 (/.f64 (sqrt.f64 (PI.f64)) #s(literal 4 binary64))))
(+.f64 (log.f64 (neg.f64 (PI.f64))) (log.f64 #s(literal -1/4 binary64)))
(+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (*.f64 (PI.f64) #s(literal -1/4 binary64))))
(+.f64 (log.f64 #s(literal -1/4 binary64)) (log.f64 (neg.f64 (PI.f64))))
(+.f64 (log.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 (PI.f64) #s(literal 2/3 binary64)))) (*.f64 #s(literal 1/3 binary64) (log.f64 (PI.f64))))
(+.f64 (log.f64 (*.f64 #s(literal 1/4 binary64) (sqrt.f64 (PI.f64)))) (*.f64 #s(literal 1/2 binary64) (log.f64 (PI.f64))))
(-.f64 (log.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64))) #s(literal 0 binary64))
(-.f64 (log.f64 (PI.f64)) (log.f64 #s(literal 4 binary64)))
(-.f64 #s(literal 0 binary64) (neg.f64 (log.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)))))
(-.f64 #s(literal 0 binary64) (log.f64 (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) #s(literal 1 binary64))))
(-.f64 (log.f64 (neg.f64 (PI.f64))) (log.f64 #s(literal -4 binary64)))
(-.f64 (log.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (*.f64 (PI.f64) #s(literal -1/4 binary64)))))
(-.f64 (log.f64 (*.f64 (PI.f64) #s(literal -1/4 binary64))) (log.f64 #s(literal -1 binary64)))
(-.f64 (log.f64 (neg.f64 (neg.f64 (PI.f64)))) (log.f64 #s(literal 4 binary64)))
(fma.f64 #s(literal 1 binary64) (log.f64 (PI.f64)) (log.f64 #s(literal 1/4 binary64)))
(fma.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/3 binary64) (log.f64 (PI.f64))) (log.f64 (*.f64 (cbrt.f64 (PI.f64)) #s(literal 1/4 binary64))))
(fma.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/3 binary64) (log.f64 (PI.f64))) (log.f64 (/.f64 (cbrt.f64 (PI.f64)) #s(literal 4 binary64))))
(fma.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (log.f64 (PI.f64))) (log.f64 #s(literal 1/4 binary64)))
(fma.f64 #s(literal 1/2 binary64) (log.f64 (PI.f64)) (log.f64 (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/4 binary64))))
(fma.f64 #s(literal 1/2 binary64) (log.f64 (PI.f64)) (log.f64 (/.f64 (sqrt.f64 (PI.f64)) #s(literal 4 binary64))))
(fma.f64 (log.f64 (PI.f64)) #s(literal 1 binary64) (log.f64 #s(literal 1/4 binary64)))
(fma.f64 #s(literal -1 binary64) (neg.f64 (log.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)))) #s(literal 0 binary64))
(fma.f64 #s(literal 3 binary64) (*.f64 #s(literal 1/3 binary64) (log.f64 (PI.f64))) (log.f64 #s(literal 1/4 binary64)))
(fma.f64 #s(literal 1/3 binary64) (log.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) (log.f64 #s(literal 1/4 binary64)))
(neg.f64 (neg.f64 (log.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)))))
(neg.f64 (log.f64 (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) #s(literal 1 binary64))))
(/.f64 (+.f64 (pow.f64 (log.f64 #s(literal 1/4 binary64)) #s(literal 3 binary64)) (pow.f64 (log.f64 (PI.f64)) #s(literal 3 binary64))) (+.f64 (pow.f64 (log.f64 #s(literal 1/4 binary64)) #s(literal 2 binary64)) (-.f64 (pow.f64 (log.f64 (PI.f64)) #s(literal 2 binary64)) (*.f64 (log.f64 #s(literal 1/4 binary64)) (log.f64 (PI.f64))))))
(/.f64 (-.f64 (pow.f64 (log.f64 #s(literal 1/4 binary64)) #s(literal 2 binary64)) (pow.f64 (log.f64 (PI.f64)) #s(literal 2 binary64))) (log.f64 (/.f64 #s(literal 1/4 binary64) (PI.f64))))
(*.f64 #s(literal -1 binary64) (neg.f64 (log.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)))))
(*.f64 (PI.f64) #s(literal 1/48 binary64))
(*.f64 #s(literal 1 binary64) (*.f64 (PI.f64) #s(literal 1/48 binary64)))
(*.f64 #s(literal 1/48 binary64) (PI.f64))
(*.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (*.f64 (cbrt.f64 (PI.f64)) #s(literal 1/48 binary64)))
(*.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/48 binary64)))
(*.f64 (*.f64 #s(literal 1/48 binary64) (pow.f64 (PI.f64) #s(literal 2/3 binary64))) (cbrt.f64 (PI.f64)))
(*.f64 (*.f64 #s(literal 1/48 binary64) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)))

eval502.0ms (2.4%)

Memory
34.0MiB live, 770.0MiB allocated
Compiler

Compiled 79 132 to 7 287 computations (90.8% saved)

prune303.0ms (1.5%)

Memory
-5.9MiB live, 840.8MiB allocated
Pruning

13 alts after pruning (12 fresh and 1 done)

PrunedKeptTotal
New2 471112 482
Fresh718
Picked415
Done000
Total2 482132 495
Accuracy
100.0%
Counts
2 495 → 13
Alt Table
Click to see full alt table
StatusAccuracyProgram
98.9%
(/.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64)))) #s(literal 1/4 binary64)))
99.5%
(/.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (*.f64 (PI.f64) #s(literal 1/4 binary64)))
96.4%
(/.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)))
96.3%
(/.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)))))))
96.3%
(*.f64 (/.f64 #s(literal -4 binary64) (PI.f64)) (log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 #s(literal -1 binary64) (*.f64 f (*.f64 (PI.f64) #s(literal -1/4 binary64)))))))
95.7%
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64)))) #s(literal 4 binary64))) (log.f64 #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))))))))
94.9%
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))) #s(literal 4 binary64))) (log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 #s(literal 2 binary64) (*.f64 f (*.f64 (PI.f64) #s(literal 1/2 binary64))))))))
96.7%
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (fma.f64 f (*.f64 f (fma.f64 (*.f64 (PI.f64) #s(literal 1/48 binary64)) #s(literal -2 binary64) (*.f64 (PI.f64) #s(literal 1/8 binary64)))) (/.f64 #s(literal 4 binary64) (PI.f64))) f)))))
96.5%
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (fma.f64 (/.f64 (neg.f64 (log.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))) (sqrt.f64 (PI.f64))) (/.f64 #s(literal -4 binary64) (sqrt.f64 (PI.f64))) (/.f64 (*.f64 (*.f64 f (*.f64 (PI.f64) #s(literal 1/12 binary64))) (*.f64 (PI.f64) (*.f64 #s(literal 1/2 binary64) f))) (*.f64 (PI.f64) #s(literal -1/2 binary64)))))
96.7%
#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)))))))) (fma.f64 (/.f64 #s(literal -4 binary64) (PI.f64)) (neg.f64 (log.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))) (/.f64 (*.f64 (*.f64 f (*.f64 (PI.f64) #s(literal 1/12 binary64))) (*.f64 (PI.f64) (*.f64 #s(literal 1/2 binary64) f))) (*.f64 (PI.f64) #s(literal -1/2 binary64)))))
96.7%
#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)))))))) (fma.f64 (-.f64 (neg.f64 (log.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)))) (log.f64 f)) (/.f64 #s(literal -4 binary64) (PI.f64)) (*.f64 f #s(approx (* (* (* f (* (PI) 1/2)) (+ (* (* (PI) 1/48) -2) (* (PI) 1/8))) (/ -2 (PI))) (*.f64 f (*.f64 (PI.f64) #s(literal -1/12 binary64)))))))
96.7%
#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 (fma.f64 (*.f64 (*.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/2 binary64) f)) (*.f64 (*.f64 (PI.f64) #s(literal 1/12 binary64)) #s(literal -2 binary64))) f) (PI.f64) (*.f64 (PI.f64) (*.f64 (neg.f64 (log.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))) #s(literal -4 binary64)))) (*.f64 (PI.f64) (PI.f64))))
4.1%
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) #s(approx (+ (* (- (neg (log (* 1/4 (PI)))) (log f)) (/ -4 (PI))) (* f (* (* (* f (* (PI) 1/2)) (+ (* (* (PI) 1/48) -2) (* (PI) 1/8))) (/ -2 (PI))))) (*.f64 f (*.f64 f (*.f64 (PI.f64) #s(literal -1/12 binary64))))))
Compiler

Compiled 526 to 372 computations (29.3% saved)

simplify279.0ms (1.3%)

Memory
-20.0MiB live, 432.0MiB allocated
Algorithm
egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff128
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))) #s(literal 4 binary64))) (log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 #s(literal 2 binary64) (*.f64 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 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))) #s(literal 4 binary64)))
cost-diff1600
(*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)))
cost-diff0
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (fma.f64 (/.f64 #s(literal -4 binary64) (PI.f64)) (neg.f64 (log.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))) (/.f64 (*.f64 (*.f64 f (*.f64 (PI.f64) #s(literal 1/12 binary64))) (*.f64 (PI.f64) (*.f64 #s(literal 1/2 binary64) f))) (*.f64 (PI.f64) #s(literal -1/2 binary64)))))
cost-diff128
(fma.f64 (/.f64 #s(literal -4 binary64) (PI.f64)) (neg.f64 (log.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))) (/.f64 (*.f64 (*.f64 f (*.f64 (PI.f64) #s(literal 1/12 binary64))) (*.f64 (PI.f64) (*.f64 #s(literal 1/2 binary64) f))) (*.f64 (PI.f64) #s(literal -1/2 binary64))))
cost-diff320
(*.f64 (*.f64 f (*.f64 (PI.f64) #s(literal 1/12 binary64))) (*.f64 (PI.f64) (*.f64 #s(literal 1/2 binary64) f)))
cost-diff1216
(/.f64 (*.f64 (*.f64 f (*.f64 (PI.f64) #s(literal 1/12 binary64))) (*.f64 (PI.f64) (*.f64 #s(literal 1/2 binary64) f))) (*.f64 (PI.f64) #s(literal -1/2 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 (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 #s(literal -1 binary64) (*.f64 f (*.f64 (PI.f64) #s(literal -1/4 binary64)))))))
cost-diff320
(/.f64 #s(literal -1 binary64) (*.f64 f (*.f64 (PI.f64) #s(literal -1/4 binary64))))
cost-diff0
(*.f64 f (*.f64 (PI.f64) #s(literal -1/12 binary64)))
cost-diff0
(*.f64 f (*.f64 f (*.f64 (PI.f64) #s(literal -1/12 binary64))))
cost-diff0
#s(approx (+ (* (- (neg (log (* 1/4 (PI)))) (log f)) (/ -4 (PI))) (* f (* (* (* f (* (PI) 1/2)) (+ (* (* (PI) 1/48) -2) (* (PI) 1/8))) (/ -2 (PI))))) (*.f64 f (*.f64 f (*.f64 (PI.f64) #s(literal -1/12 binary64)))))
cost-diff0
#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)))))))) #s(approx (+ (* (- (neg (log (* 1/4 (PI)))) (log f)) (/ -4 (PI))) (* f (* (* (* f (* (PI) 1/2)) (+ (* (* (PI) 1/48) -2) (* (PI) 1/8))) (/ -2 (PI))))) (*.f64 f (*.f64 f (*.f64 (PI.f64) #s(literal -1/12 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 (*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64)))) #s(literal 1/4 binary64)))
Rules
7 300×lower-*.f32
7 254×lower-*.f64
6 078×lower-fma.f32
6 076×lower-fma.f64
2 170×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
093739
0142712
1300670
2979621
35122619
08111615
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 (*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.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 (*.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)))
#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)))))))) #s(approx (+ (* (- (neg (log (* 1/4 (PI)))) (log f)) (/ -4 (PI))) (* f (* (* (* f (* (PI) 1/2)) (+ (* (* (PI) 1/48) -2) (* (PI) 1/8))) (/ -2 (PI))))) (*.f64 f (*.f64 f (*.f64 (PI.f64) #s(literal -1/12 binary64))))))
#s(approx (+ (* (- (neg (log (* 1/4 (PI)))) (log f)) (/ -4 (PI))) (* f (* (* (* f (* (PI) 1/2)) (+ (* (* (PI) 1/48) -2) (* (PI) 1/8))) (/ -2 (PI))))) (*.f64 f (*.f64 f (*.f64 (PI.f64) #s(literal -1/12 binary64)))))
(*.f64 f (*.f64 f (*.f64 (PI.f64) #s(literal -1/12 binary64))))
f
(*.f64 f (*.f64 (PI.f64) #s(literal -1/12 binary64)))
(*.f64 (PI.f64) #s(literal -1/12 binary64))
(PI.f64)
#s(literal -1/12 binary64)
(*.f64 (/.f64 #s(literal -4 binary64) (PI.f64)) (log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 #s(literal -1 binary64) (*.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 (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 #s(literal -1 binary64) (*.f64 f (*.f64 (PI.f64) #s(literal -1/4 binary64))))))
#s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 #s(literal -1 binary64) (*.f64 f (*.f64 (PI.f64) #s(literal -1/4 binary64)))))
(/.f64 #s(literal -1 binary64) (*.f64 f (*.f64 (PI.f64) #s(literal -1/4 binary64))))
#s(literal -1 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)
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (fma.f64 (/.f64 #s(literal -4 binary64) (PI.f64)) (neg.f64 (log.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))) (/.f64 (*.f64 (*.f64 f (*.f64 (PI.f64) #s(literal 1/12 binary64))) (*.f64 (PI.f64) (*.f64 #s(literal 1/2 binary64) f))) (*.f64 (PI.f64) #s(literal -1/2 binary64)))))
(fma.f64 (/.f64 #s(literal -4 binary64) (PI.f64)) (neg.f64 (log.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))) (/.f64 (*.f64 (*.f64 f (*.f64 (PI.f64) #s(literal 1/12 binary64))) (*.f64 (PI.f64) (*.f64 #s(literal 1/2 binary64) f))) (*.f64 (PI.f64) #s(literal -1/2 binary64))))
(/.f64 #s(literal -4 binary64) (PI.f64))
#s(literal -4 binary64)
(PI.f64)
(neg.f64 (log.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))))
(log.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))
(*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))
(*.f64 #s(literal 1/4 binary64) f)
#s(literal 1/4 binary64)
f
(/.f64 (*.f64 (*.f64 f (*.f64 (PI.f64) #s(literal 1/12 binary64))) (*.f64 (PI.f64) (*.f64 #s(literal 1/2 binary64) f))) (*.f64 (PI.f64) #s(literal -1/2 binary64)))
(*.f64 (*.f64 f (*.f64 (PI.f64) #s(literal 1/12 binary64))) (*.f64 (PI.f64) (*.f64 #s(literal 1/2 binary64) f)))
(*.f64 f (*.f64 (PI.f64) #s(literal 1/12 binary64)))
(*.f64 (PI.f64) #s(literal 1/12 binary64))
#s(literal 1/12 binary64)
(*.f64 (PI.f64) (*.f64 #s(literal 1/2 binary64) f))
(*.f64 #s(literal 1/2 binary64) f)
#s(literal 1/2 binary64)
(*.f64 (PI.f64) #s(literal -1/2 binary64))
#s(literal -1/2 binary64)
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))) #s(literal 4 binary64))) (log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 #s(literal 2 binary64) (*.f64 f (*.f64 (PI.f64) #s(literal 1/2 binary64))))))))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))) #s(literal 4 binary64))) (log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 #s(literal 2 binary64) (*.f64 f (*.f64 (PI.f64) #s(literal 1/2 binary64)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))) #s(literal 4 binary64)))
#s(literal 1 binary64)
(/.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))) #s(literal 4 binary64))
(*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)))
(sqrt.f64 (PI.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))))))
#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)
Outputs
(/.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (*.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 (tanh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))) (*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (*.f64 #s(literal 1/4 binary64) (sqrt.f64 (sqrt.f64 (PI.f64))))))
(log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))
(log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))))
(tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))
(tanh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))
(*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)
(*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))
(*.f64 (PI.f64) #s(literal 1/4 binary64))
(PI.f64)
#s(literal 1/4 binary64)
f
(*.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)))) (*.f64 #s(literal 1/4 binary64) (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)))
#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)))))))) #s(approx (+ (* (- (neg (log (* 1/4 (PI)))) (log f)) (/ -4 (PI))) (* f (* (* (* f (* (PI) 1/2)) (+ (* (* (PI) 1/48) -2) (* (PI) 1/8))) (/ -2 (PI))))) (*.f64 f (*.f64 f (*.f64 (PI.f64) #s(literal -1/12 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)))))))) #s(approx (+ (* (- (neg (log (* 1/4 (PI)))) (log f)) (/ -4 (PI))) (* f (* (* (* f (* (PI) 1/2)) (+ (* (* (PI) 1/48) -2) (* (PI) 1/8))) (/ -2 (PI))))) (*.f64 #s(literal -1/12 binary64) (*.f64 f (*.f64 (PI.f64) f)))))
#s(approx (+ (* (- (neg (log (* 1/4 (PI)))) (log f)) (/ -4 (PI))) (* f (* (* (* f (* (PI) 1/2)) (+ (* (* (PI) 1/48) -2) (* (PI) 1/8))) (/ -2 (PI))))) (*.f64 f (*.f64 f (*.f64 (PI.f64) #s(literal -1/12 binary64)))))
#s(approx (+ (* (- (neg (log (* 1/4 (PI)))) (log f)) (/ -4 (PI))) (* f (* (* (* f (* (PI) 1/2)) (+ (* (* (PI) 1/48) -2) (* (PI) 1/8))) (/ -2 (PI))))) (*.f64 #s(literal -1/12 binary64) (*.f64 f (*.f64 (PI.f64) f))))
(*.f64 f (*.f64 f (*.f64 (PI.f64) #s(literal -1/12 binary64))))
(*.f64 #s(literal -1/12 binary64) (*.f64 f (*.f64 (PI.f64) f)))
f
(*.f64 f (*.f64 (PI.f64) #s(literal -1/12 binary64)))
(*.f64 (PI.f64) (*.f64 f #s(literal -1/12 binary64)))
(*.f64 (PI.f64) #s(literal -1/12 binary64))
(PI.f64)
#s(literal -1/12 binary64)
(*.f64 (/.f64 #s(literal -4 binary64) (PI.f64)) (log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 #s(literal -1 binary64) (*.f64 f (*.f64 (PI.f64) #s(literal -1/4 binary64)))))))
(*.f64 (/.f64 #s(literal -4 binary64) (PI.f64)) (log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 #s(literal 4 binary64) (*.f64 (PI.f64) f)))))
(/.f64 #s(literal -4 binary64) (PI.f64))
#s(literal -4 binary64)
(PI.f64)
(log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 #s(literal -1 binary64) (*.f64 f (*.f64 (PI.f64) #s(literal -1/4 binary64))))))
(log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 #s(literal 4 binary64) (*.f64 (PI.f64) f))))
#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 f (*.f64 (PI.f64) #s(literal -1/4 binary64)))))
#s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 #s(literal 4 binary64) (*.f64 (PI.f64) f)))
(/.f64 #s(literal -1 binary64) (*.f64 f (*.f64 (PI.f64) #s(literal -1/4 binary64))))
(/.f64 #s(literal 4 binary64) (*.f64 (PI.f64) f))
#s(literal -1 binary64)
(*.f64 f (*.f64 (PI.f64) #s(literal -1/4 binary64)))
(*.f64 (PI.f64) (*.f64 f #s(literal -1/4 binary64)))
f
(*.f64 (PI.f64) #s(literal -1/4 binary64))
#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)))))))) (fma.f64 (/.f64 #s(literal -4 binary64) (PI.f64)) (neg.f64 (log.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))) (/.f64 (*.f64 (*.f64 f (*.f64 (PI.f64) #s(literal 1/12 binary64))) (*.f64 (PI.f64) (*.f64 #s(literal 1/2 binary64) f))) (*.f64 (PI.f64) #s(literal -1/2 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)))))))) (fma.f64 (log.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))) (/.f64 #s(literal 4 binary64) (PI.f64)) (neg.f64 (*.f64 f (*.f64 (PI.f64) (*.f64 f #s(literal 1/12 binary64)))))))
(fma.f64 (/.f64 #s(literal -4 binary64) (PI.f64)) (neg.f64 (log.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))) (/.f64 (*.f64 (*.f64 f (*.f64 (PI.f64) #s(literal 1/12 binary64))) (*.f64 (PI.f64) (*.f64 #s(literal 1/2 binary64) f))) (*.f64 (PI.f64) #s(literal -1/2 binary64))))
(fma.f64 (log.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))) (/.f64 #s(literal 4 binary64) (PI.f64)) (neg.f64 (*.f64 f (*.f64 (PI.f64) (*.f64 f #s(literal 1/12 binary64))))))
(/.f64 #s(literal -4 binary64) (PI.f64))
#s(literal -4 binary64)
(PI.f64)
(neg.f64 (log.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))))
(log.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))
(*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))
(*.f64 #s(literal 1/4 binary64) f)
#s(literal 1/4 binary64)
f
(/.f64 (*.f64 (*.f64 f (*.f64 (PI.f64) #s(literal 1/12 binary64))) (*.f64 (PI.f64) (*.f64 #s(literal 1/2 binary64) f))) (*.f64 (PI.f64) #s(literal -1/2 binary64)))
(neg.f64 (*.f64 f (*.f64 (PI.f64) (*.f64 f #s(literal 1/12 binary64)))))
(*.f64 (*.f64 f (*.f64 (PI.f64) #s(literal 1/12 binary64))) (*.f64 (PI.f64) (*.f64 #s(literal 1/2 binary64) f)))
(*.f64 (PI.f64) (*.f64 f (*.f64 (*.f64 (PI.f64) f) #s(literal 1/24 binary64))))
(*.f64 f (*.f64 (PI.f64) #s(literal 1/12 binary64)))
(*.f64 (PI.f64) (*.f64 f #s(literal 1/12 binary64)))
(*.f64 (PI.f64) #s(literal 1/12 binary64))
#s(literal 1/12 binary64)
(*.f64 (PI.f64) (*.f64 #s(literal 1/2 binary64) f))
(*.f64 f (*.f64 (PI.f64) #s(literal 1/2 binary64)))
(*.f64 #s(literal 1/2 binary64) f)
(*.f64 f #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
(*.f64 (PI.f64) #s(literal -1/2 binary64))
#s(literal -1/2 binary64)
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))) #s(literal 4 binary64))) (log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 #s(literal 2 binary64) (*.f64 f (*.f64 (PI.f64) #s(literal 1/2 binary64))))))))
(*.f64 (/.f64 #s(literal -4 binary64) (PI.f64)) (log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 #s(literal 4 binary64) (*.f64 (PI.f64) f)))))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))) #s(literal 4 binary64))) (log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 #s(literal 2 binary64) (*.f64 f (*.f64 (PI.f64) #s(literal 1/2 binary64)))))))
(*.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 #s(literal 4 binary64) (*.f64 (PI.f64) f)))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))) #s(literal 4 binary64)))
(/.f64 #s(literal 4 binary64) (PI.f64))
#s(literal 1 binary64)
(/.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))) #s(literal 4 binary64))
(/.f64 (PI.f64) #s(literal 4 binary64))
(*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)))
(PI.f64)
(sqrt.f64 (PI.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))))))
(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)

localize470.0ms (2.3%)

Memory
33.6MiB live, 837.7MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy99.4%
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))) #s(literal 4 binary64))) (log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 #s(literal 2 binary64) (*.f64 f (*.f64 (PI.f64) #s(literal 1/2 binary64)))))))
accuracy98.4%
(*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)))
accuracy98.4%
(sqrt.f64 (PI.f64))
accuracy97.0%
#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)))))
accuracy99.4%
(fma.f64 (/.f64 #s(literal -4 binary64) (PI.f64)) (neg.f64 (log.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))) (/.f64 (*.f64 (*.f64 f (*.f64 (PI.f64) #s(literal 1/12 binary64))) (*.f64 (PI.f64) (*.f64 #s(literal 1/2 binary64) f))) (*.f64 (PI.f64) #s(literal -1/2 binary64))))
accuracy98.9%
(*.f64 f (*.f64 (PI.f64) #s(literal 1/12 binary64)))
accuracy98.4%
(*.f64 (PI.f64) #s(literal 1/12 binary64))
accuracy97.3%
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (fma.f64 (/.f64 #s(literal -4 binary64) (PI.f64)) (neg.f64 (log.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))) (/.f64 (*.f64 (*.f64 f (*.f64 (PI.f64) #s(literal 1/12 binary64))) (*.f64 (PI.f64) (*.f64 #s(literal 1/2 binary64) f))) (*.f64 (PI.f64) #s(literal -1/2 binary64)))))
accuracy99.6%
(*.f64 f (*.f64 (PI.f64) #s(literal -1/4 binary64)))
accuracy99.6%
(/.f64 #s(literal -1 binary64) (*.f64 f (*.f64 (PI.f64) #s(literal -1/4 binary64))))
accuracy99.4%
(*.f64 (/.f64 #s(literal -4 binary64) (PI.f64)) (log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 #s(literal -1 binary64) (*.f64 f (*.f64 (PI.f64) #s(literal -1/4 binary64)))))))
accuracy97.0%
#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 f (*.f64 (PI.f64) #s(literal -1/4 binary64)))))
accuracy98.9%
(*.f64 f (*.f64 (PI.f64) #s(literal -1/12 binary64)))
accuracy98.4%
(*.f64 (PI.f64) #s(literal -1/12 binary64))
accuracy97.3%
#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)))))))) #s(approx (+ (* (- (neg (log (* 1/4 (PI)))) (log f)) (/ -4 (PI))) (* f (* (* (* f (* (PI) 1/2)) (+ (* (* (PI) 1/48) -2) (* (PI) 1/8))) (/ -2 (PI))))) (*.f64 f (*.f64 f (*.f64 (PI.f64) #s(literal -1/12 binary64))))))
accuracy6.0%
#s(approx (+ (* (- (neg (log (* 1/4 (PI)))) (log f)) (/ -4 (PI))) (* f (* (* (* f (* (PI) 1/2)) (+ (* (* (PI) 1/48) -2) (* (PI) 1/8))) (/ -2 (PI))))) (*.f64 f (*.f64 f (*.f64 (PI.f64) #s(literal -1/12 binary64)))))
accuracy99.6%
(*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)
accuracy99.5%
(/.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64)))) #s(literal 1/4 binary64)))
accuracy98.4%
(*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64))))
accuracy98.4%
(sqrt.f64 (PI.f64))
Samples
325.0ms240×1valid
18.0ms2valid
5.0ms0valid
Compiler

Compiled 608 to 85 computations (86% saved)

Precisions
Click to see histograms. Total time spent on operations: 285.0ms
ival-mult: 121.0ms (42.4% of total)
ival-div: 35.0ms (12.3% of total)
ival-log: 33.0ms (11.6% of total)
adjust: 22.0ms (7.7% of total)
ival-exp: 19.0ms (6.7% of total)
const: 13.0ms (4.6% of total)
ival-neg: 12.0ms (4.2% of total)
ival-sqrt: 9.0ms (3.2% of total)
ival-add: 9.0ms (3.2% of total)
ival-sub: 4.0ms (1.4% of total)
ival-tanh: 4.0ms (1.4% of total)
ival-pi: 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)

series33.0ms (0.2%)

Memory
-17.2MiB live, 65.1MiB allocated
Counts
29 → 252
Calls
Call 1
Inputs
#s(alt (/.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (*.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 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (*.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 (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 #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)))))))) #s(approx (+ (* (- (neg (log (* 1/4 (PI)))) (log f)) (/ -4 (PI))) (* f (* (* (* f (* (PI) 1/2)) (+ (* (* (PI) 1/48) -2) (* (PI) 1/8))) (/ -2 (PI))))) (*.f64 f (*.f64 f (*.f64 (PI.f64) #s(literal -1/12 binary64)))))) (patch #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)))))))) #s(approx (+ (* (- (neg (log (* 1/4 (PI)))) (log f)) (/ -4 (PI))) (* f (* (* (* f (* (PI) 1/2)) (+ (* (* (PI) 1/48) -2) (* (PI) 1/8))) (/ -2 (PI))))) (*.f64 f (*.f64 f (*.f64 (PI.f64) #s(literal -1/12 binary64)))))) #<representation binary64>) () ())
#s(alt #s(approx (+ (* (- (neg (log (* 1/4 (PI)))) (log f)) (/ -4 (PI))) (* f (* (* (* f (* (PI) 1/2)) (+ (* (* (PI) 1/48) -2) (* (PI) 1/8))) (/ -2 (PI))))) (*.f64 f (*.f64 f (*.f64 (PI.f64) #s(literal -1/12 binary64))))) (patch #s(approx (+ (* (- (neg (log (* 1/4 (PI)))) (log f)) (/ -4 (PI))) (* f (* (* (* f (* (PI) 1/2)) (+ (* (* (PI) 1/48) -2) (* (PI) 1/8))) (/ -2 (PI))))) (*.f64 f (*.f64 f (*.f64 (PI.f64) #s(literal -1/12 binary64))))) #<representation binary64>) () ())
#s(alt (*.f64 f (*.f64 f (*.f64 (PI.f64) #s(literal -1/12 binary64)))) (patch (*.f64 f (*.f64 f (*.f64 (PI.f64) #s(literal -1/12 binary64)))) #<representation binary64>) () ())
#s(alt (*.f64 f (*.f64 (PI.f64) #s(literal -1/12 binary64))) (patch (*.f64 f (*.f64 (PI.f64) #s(literal -1/12 binary64))) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal -1 binary64) (*.f64 f (*.f64 (PI.f64) #s(literal -1/4 binary64)))) (patch (/.f64 #s(literal -1 binary64) (*.f64 f (*.f64 (PI.f64) #s(literal -1/4 binary64)))) #<representation binary64>) () ())
#s(alt (*.f64 (/.f64 #s(literal -4 binary64) (PI.f64)) (log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 #s(literal -1 binary64) (*.f64 f (*.f64 (PI.f64) #s(literal -1/4 binary64))))))) (patch (*.f64 (/.f64 #s(literal -4 binary64) (PI.f64)) (log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 #s(literal -1 binary64) (*.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 (/.f64 (*.f64 (*.f64 f (*.f64 (PI.f64) #s(literal 1/12 binary64))) (*.f64 (PI.f64) (*.f64 #s(literal 1/2 binary64) f))) (*.f64 (PI.f64) #s(literal -1/2 binary64))) (patch (/.f64 (*.f64 (*.f64 f (*.f64 (PI.f64) #s(literal 1/12 binary64))) (*.f64 (PI.f64) (*.f64 #s(literal 1/2 binary64) f))) (*.f64 (PI.f64) #s(literal -1/2 binary64))) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 f (*.f64 (PI.f64) #s(literal 1/12 binary64))) (*.f64 (PI.f64) (*.f64 #s(literal 1/2 binary64) f))) (patch (*.f64 (*.f64 f (*.f64 (PI.f64) #s(literal 1/12 binary64))) (*.f64 (PI.f64) (*.f64 #s(literal 1/2 binary64) f))) #<representation binary64>) () ())
#s(alt (fma.f64 (/.f64 #s(literal -4 binary64) (PI.f64)) (neg.f64 (log.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))) (/.f64 (*.f64 (*.f64 f (*.f64 (PI.f64) #s(literal 1/12 binary64))) (*.f64 (PI.f64) (*.f64 #s(literal 1/2 binary64) f))) (*.f64 (PI.f64) #s(literal -1/2 binary64)))) (patch (fma.f64 (/.f64 #s(literal -4 binary64) (PI.f64)) (neg.f64 (log.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))) (/.f64 (*.f64 (*.f64 f (*.f64 (PI.f64) #s(literal 1/12 binary64))) (*.f64 (PI.f64) (*.f64 #s(literal 1/2 binary64) f))) (*.f64 (PI.f64) #s(literal -1/2 binary64)))) #<representation binary64>) () ())
#s(alt #s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (fma.f64 (/.f64 #s(literal -4 binary64) (PI.f64)) (neg.f64 (log.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))) (/.f64 (*.f64 (*.f64 f (*.f64 (PI.f64) #s(literal 1/12 binary64))) (*.f64 (PI.f64) (*.f64 #s(literal 1/2 binary64) f))) (*.f64 (PI.f64) #s(literal -1/2 binary64))))) (patch #s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (fma.f64 (/.f64 #s(literal -4 binary64) (PI.f64)) (neg.f64 (log.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))) (/.f64 (*.f64 (*.f64 f (*.f64 (PI.f64) #s(literal 1/12 binary64))) (*.f64 (PI.f64) (*.f64 #s(literal 1/2 binary64) f))) (*.f64 (PI.f64) #s(literal -1/2 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 #s(literal 1 binary64) (/.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))) #s(literal 4 binary64))) (patch (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.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 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))) #s(literal 4 binary64))) (log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 #s(literal 2 binary64) (*.f64 f (*.f64 (PI.f64) #s(literal 1/2 binary64)))))))) (patch (neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))) #s(literal 4 binary64))) (log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 #s(literal 2 binary64) (*.f64 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 (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>) () ())
#s(alt (*.f64 (PI.f64) #s(literal -1/12 binary64)) (patch (*.f64 (PI.f64) #s(literal -1/12 binary64)) #<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 -1 binary64) (*.f64 f (*.f64 (PI.f64) #s(literal -1/4 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 -1 binary64) (*.f64 f (*.f64 (PI.f64) #s(literal -1/4 binary64))))) #<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 (*.f64 (PI.f64) #s(literal 1/12 binary64)) (patch (*.f64 (PI.f64) #s(literal 1/12 binary64)) #<representation binary64>) () ())
#s(alt (*.f64 f (*.f64 (PI.f64) #s(literal 1/12 binary64))) (patch (*.f64 f (*.f64 (PI.f64) #s(literal 1/12 binary64))) #<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 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))) #s(literal 4 binary64))) (log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 #s(literal 2 binary64) (*.f64 f (*.f64 (PI.f64) #s(literal 1/2 binary64))))))) (patch (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))) #s(literal 4 binary64))) (log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 #s(literal 2 binary64) (*.f64 f (*.f64 (PI.f64) #s(literal 1/2 binary64))))))) #<representation binary64>) () ())
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 (*.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 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (*.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 (+ (* 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 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (*.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 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (*.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 (+ (* 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 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (*.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 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (*.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 (+ (* 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 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (*.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 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64)))) #s(literal 1/4 binary64))) #<representation binary64>) () ())) ())
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#s(alt (* 4 (/ (log (/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI)))))))) (PI))) (taylor inf f) (#s(alt (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))) #s(literal 4 binary64))) (log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 #s(literal 2 binary64) (*.f64 f (*.f64 (PI.f64) #s(literal 1/2 binary64))))))) (patch (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))) #s(literal 4 binary64))) (log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 #s(literal 2 binary64) (*.f64 f (*.f64 (PI.f64) #s(literal 1/2 binary64))))))) #<representation binary64>) () ())) ())
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#s(alt (* 4 (/ (log (/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI)))))))) (PI))) (taylor inf f) (#s(alt (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))) #s(literal 4 binary64))) (log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 #s(literal 2 binary64) (*.f64 f (*.f64 (PI.f64) #s(literal 1/2 binary64))))))) (patch (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))) #s(literal 4 binary64))) (log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 #s(literal 2 binary64) (*.f64 f (*.f64 (PI.f64) #s(literal 1/2 binary64))))))) #<representation binary64>) () ())) ())
#s(alt (* 4 (/ (log (/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI)))))))) (PI))) (taylor -inf f) (#s(alt (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))) #s(literal 4 binary64))) (log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 #s(literal 2 binary64) (*.f64 f (*.f64 (PI.f64) #s(literal 1/2 binary64))))))) (patch (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))) #s(literal 4 binary64))) (log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 #s(literal 2 binary64) (*.f64 f (*.f64 (PI.f64) #s(literal 1/2 binary64))))))) #<representation binary64>) () ())) ())
#s(alt (* 4 (/ (log (/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI)))))))) (PI))) (taylor -inf f) (#s(alt (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))) #s(literal 4 binary64))) (log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 #s(literal 2 binary64) (*.f64 f (*.f64 (PI.f64) #s(literal 1/2 binary64))))))) (patch (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))) #s(literal 4 binary64))) (log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 #s(literal 2 binary64) (*.f64 f (*.f64 (PI.f64) #s(literal 1/2 binary64))))))) #<representation binary64>) () ())) ())
#s(alt (* 4 (/ (log (/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI)))))))) (PI))) (taylor -inf f) (#s(alt (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))) #s(literal 4 binary64))) (log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 #s(literal 2 binary64) (*.f64 f (*.f64 (PI.f64) #s(literal 1/2 binary64))))))) (patch (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))) #s(literal 4 binary64))) (log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 #s(literal 2 binary64) (*.f64 f (*.f64 (PI.f64) #s(literal 1/2 binary64))))))) #<representation binary64>) () ())) ())
#s(alt (* 4 (/ (log (/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI)))))))) (PI))) (taylor -inf f) (#s(alt (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))) #s(literal 4 binary64))) (log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 #s(literal 2 binary64) (*.f64 f (*.f64 (PI.f64) #s(literal 1/2 binary64))))))) (patch (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))) #s(literal 4 binary64))) (log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 #s(literal 2 binary64) (*.f64 f (*.f64 (PI.f64) #s(literal 1/2 binary64))))))) #<representation binary64>) () ())) ())
Calls

63 calls:

TimeVariablePointExpression
3.0ms
f
@inf
(* (* f (* (PI) 1/12)) (* (PI) (* 1/2 f)))
3.0ms
f
@-inf
(+ (* (/ -4 (PI)) (neg (log (* (PI) (* 1/4 f))))) (/ (* (* f (* (PI) 1/12)) (* (PI) (* 1/2 f))) (* (PI) -1/2)))
2.0ms
f
@0
(+ (* (/ -4 (PI)) (neg (log (* (PI) (* 1/4 f))))) (/ (* (* f (* (PI) 1/12)) (* (PI) (* 1/2 f))) (* (PI) -1/2)))
1.0ms
f
@inf
(+ (* (/ -4 (PI)) (neg (log (* (PI) (* 1/4 f))))) (/ (* (* f (* (PI) 1/12)) (* (PI) (* 1/2 f))) (* (PI) -1/2)))
1.0ms
f
@0
(* (/ -4 (PI)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))

simplify437.0ms (2.1%)

Memory
21.3MiB live, 629.0MiB allocated
Algorithm
egg-herbie
Rules
11 406×lower-fma.f64
11 406×lower-fma.f32
4 072×lower-*.f64
4 072×lower-*.f32
3 158×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03305518
110274969
241934595
084354508
Stop Event
iter limit
node limit
Counts
252 → 252
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)))
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(/.f64 (*.f64 #s(literal 4 binary64) (log.f64 (/.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 (exp.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))) (exp.f64 (*.f64 f (*.f64 (PI.f64) #s(literal -1/4 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 (*.f64 #s(literal 4 binary64) (log.f64 (/.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 (exp.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))) (exp.f64 (*.f64 f (*.f64 (PI.f64) #s(literal -1/4 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 (*.f64 #s(literal 4 binary64) (log.f64 (/.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 (exp.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))) (exp.f64 (*.f64 f (*.f64 (PI.f64) #s(literal -1/4 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 (*.f64 #s(literal 4 binary64) (log.f64 (/.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 (exp.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))) (exp.f64 (*.f64 f (*.f64 (PI.f64) #s(literal -1/4 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 (*.f64 #s(literal 4 binary64) (log.f64 (/.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 (exp.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))) (exp.f64 (*.f64 f (*.f64 (PI.f64) #s(literal -1/4 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 (*.f64 #s(literal 4 binary64) (log.f64 (/.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 (exp.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))) (exp.f64 (*.f64 f (*.f64 (PI.f64) #s(literal -1/4 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 (*.f64 #s(literal 4 binary64) (log.f64 (/.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 (exp.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))) (exp.f64 (*.f64 f (*.f64 (PI.f64) #s(literal -1/4 binary64)))))))) (PI.f64))

rewrite326.0ms (1.6%)

Memory
-12.9MiB live, 459.6MiB allocated
Algorithm
batch-egg-rewrite
Rules
4 608×lower-*.f32
4 564×lower-*.f64
3 212×lower-/.f32
3 198×lower-/.f64
3 154×lower-pow.f64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
093559
0142386
1474319
23582315
09187315
Stop Event
iter limit
node limit
iter limit
Counts
29 → 1 003
Calls
Call 1
Inputs
(/.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.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)
#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)))))))) #s(approx (+ (* (- (neg (log (* 1/4 (PI)))) (log f)) (/ -4 (PI))) (* f (* (* (* f (* (PI) 1/2)) (+ (* (* (PI) 1/48) -2) (* (PI) 1/8))) (/ -2 (PI))))) (*.f64 f (*.f64 f (*.f64 (PI.f64) #s(literal -1/12 binary64))))))
#s(approx (+ (* (- (neg (log (* 1/4 (PI)))) (log f)) (/ -4 (PI))) (* f (* (* (* f (* (PI) 1/2)) (+ (* (* (PI) 1/48) -2) (* (PI) 1/8))) (/ -2 (PI))))) (*.f64 f (*.f64 f (*.f64 (PI.f64) #s(literal -1/12 binary64)))))
(*.f64 f (*.f64 f (*.f64 (PI.f64) #s(literal -1/12 binary64))))
(*.f64 f (*.f64 (PI.f64) #s(literal -1/12 binary64)))
(/.f64 #s(literal -1 binary64) (*.f64 f (*.f64 (PI.f64) #s(literal -1/4 binary64))))
(*.f64 (/.f64 #s(literal -4 binary64) (PI.f64)) (log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 #s(literal -1 binary64) (*.f64 f (*.f64 (PI.f64) #s(literal -1/4 binary64)))))))
(/.f64 #s(literal -4 binary64) (PI.f64))
(PI.f64)
(/.f64 (*.f64 (*.f64 f (*.f64 (PI.f64) #s(literal 1/12 binary64))) (*.f64 (PI.f64) (*.f64 #s(literal 1/2 binary64) f))) (*.f64 (PI.f64) #s(literal -1/2 binary64)))
(*.f64 (*.f64 f (*.f64 (PI.f64) #s(literal 1/12 binary64))) (*.f64 (PI.f64) (*.f64 #s(literal 1/2 binary64) f)))
(fma.f64 (/.f64 #s(literal -4 binary64) (PI.f64)) (neg.f64 (log.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))) (/.f64 (*.f64 (*.f64 f (*.f64 (PI.f64) #s(literal 1/12 binary64))) (*.f64 (PI.f64) (*.f64 #s(literal 1/2 binary64) f))) (*.f64 (PI.f64) #s(literal -1/2 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)))))))) (fma.f64 (/.f64 #s(literal -4 binary64) (PI.f64)) (neg.f64 (log.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))) (/.f64 (*.f64 (*.f64 f (*.f64 (PI.f64) #s(literal 1/12 binary64))) (*.f64 (PI.f64) (*.f64 #s(literal 1/2 binary64) f))) (*.f64 (PI.f64) #s(literal -1/2 binary64)))))
(*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.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 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))) #s(literal 4 binary64))) (log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 #s(literal 2 binary64) (*.f64 f (*.f64 (PI.f64) #s(literal 1/2 binary64))))))))
(sqrt.f64 (PI.f64))
(*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64))))
(*.f64 (PI.f64) #s(literal -1/12 binary64))
#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 f (*.f64 (PI.f64) #s(literal -1/4 binary64)))))
(*.f64 f (*.f64 (PI.f64) #s(literal -1/4 binary64)))
(*.f64 (PI.f64) #s(literal 1/12 binary64))
(*.f64 f (*.f64 (PI.f64) #s(literal 1/12 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 (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))) #s(literal 4 binary64))) (log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 #s(literal 2 binary64) (*.f64 f (*.f64 (PI.f64) #s(literal 1/2 binary64)))))))
Outputs
(+.f64 #s(literal 0 binary64) (/.f64 (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))) (*.f64 (PI.f64) #s(literal 1/4 binary64))))
(exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))) (*.f64 (PI.f64) #s(literal -1/4 binary64))))
(neg.f64 (/.f64 (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))) (*.f64 (PI.f64) #s(literal -1/4 binary64))))
(/.f64 (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))) (*.f64 (PI.f64) #s(literal 1/4 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/4 binary64) (/.f64 (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))) (PI.f64))))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))))))))
(/.f64 (neg.f64 (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))))) (*.f64 (PI.f64) #s(literal -1/4 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))))) #s(literal 1 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1/4 binary64) (/.f64 (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))) (PI.f64)))))
(/.f64 (/.f64 (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))) (PI.f64)) #s(literal 1/4 binary64))
(/.f64 (neg.f64 (/.f64 (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))) (PI.f64))) #s(literal -1/4 binary64))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (/.f64 (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))) (*.f64 (PI.f64) #s(literal -1/4 binary64))) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (/.f64 (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))) (*.f64 (PI.f64) #s(literal -1/4 binary64))) #s(literal 2 binary64)) (*.f64 #s(literal 0 binary64) (/.f64 (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))) (*.f64 (PI.f64) #s(literal -1/4 binary64)))))))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (/.f64 (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))) (*.f64 (PI.f64) #s(literal -1/4 binary64))) #s(literal 2 binary64))) (+.f64 #s(literal 0 binary64) (/.f64 (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))) (*.f64 (PI.f64) #s(literal -1/4 binary64)))))
(/.f64 (*.f64 (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))) #s(literal 1 binary64)) (*.f64 (PI.f64) #s(literal 1/4 binary64)))
(/.f64 (*.f64 #s(literal 1 binary64) (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))))) (*.f64 (PI.f64) #s(literal 1/4 binary64)))
(/.f64 (/.f64 (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))) #s(literal 1/4 binary64)) (PI.f64))
(/.f64 (/.f64 (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))) (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64))))) (*.f64 #s(literal 1/4 binary64) (sqrt.f64 (sqrt.f64 (PI.f64)))))
(/.f64 (neg.f64 (neg.f64 (/.f64 (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))) (PI.f64)))) #s(literal 1/4 binary64))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (/.f64 (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))) (*.f64 (PI.f64) #s(literal -1/4 binary64))) #s(literal 3 binary64)))) (neg.f64 (+.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (/.f64 (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))) (*.f64 (PI.f64) #s(literal -1/4 binary64))) #s(literal 2 binary64)) (*.f64 #s(literal 0 binary64) (/.f64 (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))) (*.f64 (PI.f64) #s(literal -1/4 binary64))))))))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (/.f64 (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))) (*.f64 (PI.f64) #s(literal -1/4 binary64))) #s(literal 2 binary64)))) (neg.f64 (+.f64 #s(literal 0 binary64) (/.f64 (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))) (*.f64 (PI.f64) #s(literal -1/4 binary64))))))
(/.f64 (neg.f64 (*.f64 (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))) #s(literal 1 binary64))) (*.f64 (PI.f64) #s(literal -1/4 binary64)))
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))))) (*.f64 (PI.f64) #s(literal -1/4 binary64)))
(/.f64 (neg.f64 (/.f64 (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))) #s(literal 1/4 binary64))) (neg.f64 (PI.f64)))
(/.f64 (neg.f64 (/.f64 (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))) (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))))) (neg.f64 (*.f64 #s(literal 1/4 binary64) (sqrt.f64 (sqrt.f64 (PI.f64))))))
(pow.f64 (/.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))))) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))))) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 #s(literal 1/4 binary64) (/.f64 (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))) (PI.f64))) #s(literal -1 binary64))
(*.f64 (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))) (/.f64 #s(literal 4 binary64) (PI.f64)))
(*.f64 #s(literal 1 binary64) (/.f64 (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))) (*.f64 (PI.f64) #s(literal 1/4 binary64))))
(*.f64 #s(literal 4 binary64) (/.f64 (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))) (PI.f64)))
(*.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))))
(*.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (pow.f64 (/.f64 #s(literal 1 binary64) (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))))) #s(literal -1 binary64)))
(*.f64 (neg.f64 (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))))) (/.f64 #s(literal -4 binary64) (PI.f64)))
(*.f64 (/.f64 (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))) (*.f64 (PI.f64) #s(literal -1/4 binary64))) #s(literal -1 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))) (*.f64 (PI.f64) #s(literal -1/4 binary64))))
(*.f64 (/.f64 #s(literal -4 binary64) (PI.f64)) (neg.f64 (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))))))
(*.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) (*.f64 #s(literal 4 binary64) (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))))))
(*.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) (pow.f64 (/.f64 #s(literal 1/4 binary64) (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))))) #s(literal -1 binary64)))
(*.f64 (/.f64 (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))) (PI.f64)) #s(literal 4 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64))))) (pow.f64 (/.f64 (*.f64 #s(literal 1/4 binary64) (sqrt.f64 (sqrt.f64 (PI.f64)))) (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))))) #s(literal -1 binary64)))
(log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))))
(+.f64 (log.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))))) (log.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))))))
(+.f64 #s(literal 0 binary64) (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))))
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#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 #s(literal 1 binary64) (*.f64 (PI.f64) f))))
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(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) (log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (*.f64 #s(literal 4 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (PI.f64) f))))))))
(/.f64 (log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (*.f64 #s(literal 4 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (PI.f64) f))))) (*.f64 (PI.f64) #s(literal 1/4 binary64)))
(/.f64 (neg.f64 (log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (*.f64 #s(literal 4 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (PI.f64) f)))))) (*.f64 (PI.f64) #s(literal -1/4 binary64)))
(/.f64 (/.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 #s(literal 1 binary64) (*.f64 (PI.f64) f))))) #s(literal 1/4 binary64)) (PI.f64))
(/.f64 (/.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 #s(literal 1 binary64) (*.f64 (PI.f64) f))))) (PI.f64)) #s(literal 1/4 binary64))
(/.f64 (*.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 #s(literal 1 binary64) (*.f64 (PI.f64) f))))) #s(literal -1 binary64)) (*.f64 (PI.f64) #s(literal -1/4 binary64)))
(/.f64 (/.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 #s(literal 1 binary64) (*.f64 (PI.f64) f))))) (sqrt.f64 (PI.f64))) (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/4 binary64)))
(/.f64 (neg.f64 (neg.f64 (log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (*.f64 #s(literal 4 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (PI.f64) f))))))) (*.f64 (PI.f64) #s(literal 1/4 binary64)))
(/.f64 (neg.f64 (/.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 #s(literal 1 binary64) (*.f64 (PI.f64) f))))) #s(literal 1/4 binary64))) (neg.f64 (PI.f64)))
(/.f64 (neg.f64 (/.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 #s(literal 1 binary64) (*.f64 (PI.f64) f))))) (PI.f64))) #s(literal -1/4 binary64))
(/.f64 (neg.f64 (*.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 #s(literal 1 binary64) (*.f64 (PI.f64) f))))) #s(literal -1 binary64))) (*.f64 (PI.f64) #s(literal 1/4 binary64)))
(/.f64 (neg.f64 (/.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 #s(literal 1 binary64) (*.f64 (PI.f64) f))))) (sqrt.f64 (PI.f64)))) (neg.f64 (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/4 binary64))))
(pow.f64 (/.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) (log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (*.f64 #s(literal 4 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (PI.f64) f)))))) #s(literal -1 binary64))
(*.f64 #s(literal 1 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 #s(literal 1 binary64) (*.f64 (PI.f64) f))))) (*.f64 (PI.f64) #s(literal 1/4 binary64))))
(*.f64 #s(literal 4 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 #s(literal 1 binary64) (*.f64 (PI.f64) f))))) (PI.f64)))
(*.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (*.f64 #s(literal 4 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (PI.f64) f))))))
(*.f64 (log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (*.f64 #s(literal 4 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (PI.f64) f))))) (/.f64 #s(literal 4 binary64) (PI.f64)))
(*.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) (/.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 #s(literal 1 binary64) (*.f64 (PI.f64) f))))) #s(literal 1/4 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) (*.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 4 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (PI.f64) f)))))))
(*.f64 (/.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 #s(literal 1 binary64) (*.f64 (PI.f64) f))))) (PI.f64)) #s(literal 4 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64))) (/.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 #s(literal 1 binary64) (*.f64 (PI.f64) f))))) (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/4 binary64))))
(*.f64 (*.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 #s(literal 1 binary64) (*.f64 (PI.f64) f))))) (/.f64 #s(literal 1 binary64) (PI.f64))) #s(literal 4 binary64))
(*.f64 (/.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 #s(literal 1 binary64) (*.f64 (PI.f64) f))))) #s(literal 1 binary64)) (/.f64 #s(literal 4 binary64) (PI.f64)))
(*.f64 (/.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 #s(literal 1 binary64) (*.f64 (PI.f64) f))))) (neg.f64 (PI.f64))) #s(literal -4 binary64))

eval598.0ms (2.9%)

Memory
-84.8MiB live, 481.9MiB allocated
Compiler

Compiled 53 868 to 6 969 computations (87.1% saved)

prune261.0ms (1.3%)

Memory
7.7MiB live, 562.1MiB allocated
Pruning

20 alts after pruning (19 fresh and 1 done)

PrunedKeptTotal
New2 098152 113
Fresh347
Picked505
Done011
Total2 106202 126
Accuracy
100.0%
Counts
2 126 → 20
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.5%
(/.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (*.f64 (PI.f64) #s(literal 1/4 binary64)))
95.8%
(/.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)))
96.4%
(/.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)))
96.3%
(/.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)))))))
94.9%
(*.f64 (/.f64 #s(literal -4 binary64) (*.f64 (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 -1 binary64) (*.f64 f (*.f64 (PI.f64) #s(literal -1/4 binary64)))))))
96.2%
(*.f64 (/.f64 #s(literal -4 binary64) (sqrt.f64 (PI.f64))) (/.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 #s(literal 1 binary64) (*.f64 (PI.f64) f))))) (sqrt.f64 (PI.f64))))
96.3%
(*.f64 (/.f64 #s(literal -4 binary64) (PI.f64)) (log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) #s(approx (/ -1 (* f (* (PI) -1/4))) (/.f64 #s(literal 4 binary64) (*.f64 f (PI.f64)))))))
96.7%
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (fma.f64 f (*.f64 f (fma.f64 (*.f64 (PI.f64) #s(literal 1/48 binary64)) #s(literal -2 binary64) (*.f64 (PI.f64) #s(literal 1/8 binary64)))) (/.f64 #s(literal 4 binary64) (PI.f64))) f)))))
96.7%
#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)))))))) (fma.f64 (/.f64 #s(literal -4 binary64) (PI.f64)) (neg.f64 (log.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))) #s(approx (/ (* (* f (* (PI) 1/12)) (* (PI) (* 1/2 f))) (* (PI) -1/2)) (*.f64 (*.f64 (PI.f64) (*.f64 f f)) #s(literal -1/12 binary64)))))
96.7%
#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 (fma.f64 (*.f64 (*.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/2 binary64) f)) (*.f64 (*.f64 (PI.f64) #s(literal 1/12 binary64)) #s(literal -2 binary64))) f) (PI.f64) (*.f64 (PI.f64) (*.f64 (neg.f64 (log.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))) #s(literal -4 binary64)))) (*.f64 (PI.f64) (PI.f64))))
96.8%
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (/.f64 (-.f64 (*.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/12 binary64)) (*.f64 (*.f64 (PI.f64) f) #s(literal -1 binary64))) f) (*.f64 #s(literal -4 binary64) (log.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))))) (PI.f64)))
4.1%
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) #s(approx (+ (* (/ -4 (PI)) (neg (log (* (PI) (* 1/4 f))))) (/ (* (* f (* (PI) 1/12)) (* (PI) (* 1/2 f))) (* (PI) -1/2))) (*.f64 (*.f64 (PI.f64) (*.f64 f f)) #s(literal -1/12 binary64))))
4.1%
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) #s(approx (+ (* (- (neg (log (* 1/4 (PI)))) (log f)) (/ -4 (PI))) (* f (* (* (* f (* (PI) 1/2)) (+ (* (* (PI) 1/48) -2) (* (PI) 1/8))) (/ -2 (PI))))) (*.f64 (*.f64 (*.f64 f f) #s(literal -1/12 binary64)) (PI.f64))))
4.1%
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) #s(approx (+ (* (- (neg (log (* 1/4 (PI)))) (log f)) (/ -4 (PI))) (* f (* (* (* f (* (PI) 1/2)) (+ (* (* (PI) 1/48) -2) (* (PI) 1/8))) (/ -2 (PI))))) (*.f64 (*.f64 (PI.f64) f) (*.f64 #s(literal -1/12 binary64) f))))
4.1%
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) #s(approx (+ (* (- (neg (log (* 1/4 (PI)))) (log f)) (/ -4 (PI))) (* f (* (* (* f (* (PI) 1/2)) (+ (* (* (PI) 1/48) -2) (* (PI) 1/8))) (/ -2 (PI))))) (*.f64 (*.f64 (PI.f64) #s(literal -1/12 binary64)) (*.f64 f f))))
4.1%
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) #s(approx (+ (* (- (neg (log (* 1/4 (PI)))) (log f)) (/ -4 (PI))) (* f (* (* (* f (* (PI) 1/2)) (+ (* (* (PI) 1/48) -2) (* (PI) 1/8))) (/ -2 (PI))))) (*.f64 (*.f64 f (*.f64 (PI.f64) f)) #s(literal -1/12 binary64))))
4.1%
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) #s(approx (+ (* (- (neg (log (* 1/4 (PI)))) (log f)) (/ -4 (PI))) (* f (* (* (* f (* (PI) 1/2)) (+ (* (* (PI) 1/48) -2) (* (PI) 1/8))) (/ -2 (PI))))) (*.f64 (*.f64 #s(literal -1/12 binary64) (*.f64 (PI.f64) f)) f)))
4.1%
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) #s(approx (+ (* (- (neg (log (* 1/4 (PI)))) (log f)) (/ -4 (PI))) (* f (* (* (* f (* (PI) 1/2)) (+ (* (* (PI) 1/48) -2) (* (PI) 1/8))) (/ -2 (PI))))) (*.f64 f (*.f64 (*.f64 f #s(literal -1/12 binary64)) (PI.f64)))))
4.1%
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) #s(approx (+ (* (- (neg (log (* 1/4 (PI)))) (log f)) (/ -4 (PI))) (* f (* (* (* f (* (PI) 1/2)) (+ (* (* (PI) 1/48) -2) (* (PI) 1/8))) (/ -2 (PI))))) (*.f64 f (*.f64 f (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64)))) #s(literal -1/12 binary64))))))
4.1%
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) #s(approx (+ (* (- (neg (log (* 1/4 (PI)))) (log f)) (/ -4 (PI))) (* f (* (* (* f (* (PI) 1/2)) (+ (* (* (PI) 1/48) -2) (* (PI) 1/8))) (/ -2 (PI))))) (*.f64 f (*.f64 f (*.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))) #s(literal -1/12 binary64))))))
Compiler

Compiled 614 to 406 computations (33.9% saved)

simplify315.0ms (1.5%)

Memory
-15.3MiB live, 306.1MiB allocated
Algorithm
egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(PI.f64)
cost-diff0
(/.f64 #s(literal -4 binary64) (PI.f64))
cost-diff0
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (fma.f64 (/.f64 #s(literal -4 binary64) (PI.f64)) (neg.f64 (log.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))) #s(approx (/ (* (* f (* (PI) 1/12)) (* (PI) (* 1/2 f))) (* (PI) -1/2)) (*.f64 (*.f64 (PI.f64) (*.f64 f f)) #s(literal -1/12 binary64)))))
cost-diff128
(fma.f64 (/.f64 #s(literal -4 binary64) (PI.f64)) (neg.f64 (log.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))) #s(approx (/ (* (* f (* (PI) 1/12)) (* (PI) (* 1/2 f))) (* (PI) -1/2)) (*.f64 (*.f64 (PI.f64) (*.f64 f f)) #s(literal -1/12 binary64))))
cost-diff0
(*.f64 f (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64)))) #s(literal -1/12 binary64)))
cost-diff0
(*.f64 f (*.f64 f (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64)))) #s(literal -1/12 binary64))))
cost-diff0
#s(approx (+ (* (- (neg (log (* 1/4 (PI)))) (log f)) (/ -4 (PI))) (* f (* (* (* f (* (PI) 1/2)) (+ (* (* (PI) 1/48) -2) (* (PI) 1/8))) (/ -2 (PI))))) (*.f64 f (*.f64 f (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64)))) #s(literal -1/12 binary64)))))
cost-diff0
#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)))))))) #s(approx (+ (* (- (neg (log (* 1/4 (PI)))) (log f)) (/ -4 (PI))) (* f (* (* (* f (* (PI) 1/2)) (+ (* (* (PI) 1/48) -2) (* (PI) 1/8))) (/ -2 (PI))))) (*.f64 f (*.f64 f (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64)))) #s(literal -1/12 binary64))))))
cost-diff0
(*.f64 (PI.f64) f)
cost-diff0
(*.f64 (*.f64 (PI.f64) f) (*.f64 #s(literal -1/12 binary64) f))
cost-diff0
#s(approx (+ (* (- (neg (log (* 1/4 (PI)))) (log f)) (/ -4 (PI))) (* f (* (* (* f (* (PI) 1/2)) (+ (* (* (PI) 1/48) -2) (* (PI) 1/8))) (/ -2 (PI))))) (*.f64 (*.f64 (PI.f64) f) (*.f64 #s(literal -1/12 binary64) f)))
cost-diff0
#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)))))))) #s(approx (+ (* (- (neg (log (* 1/4 (PI)))) (log f)) (/ -4 (PI))) (* f (* (* (* f (* (PI) 1/2)) (+ (* (* (PI) 1/48) -2) (* (PI) 1/8))) (/ -2 (PI))))) (*.f64 (*.f64 (PI.f64) f) (*.f64 #s(literal -1/12 binary64) f))))
cost-diff0
(*.f64 (*.f64 f #s(literal -1/12 binary64)) (PI.f64))
cost-diff0
(*.f64 f (*.f64 (*.f64 f #s(literal -1/12 binary64)) (PI.f64)))
cost-diff0
#s(approx (+ (* (- (neg (log (* 1/4 (PI)))) (log f)) (/ -4 (PI))) (* f (* (* (* f (* (PI) 1/2)) (+ (* (* (PI) 1/48) -2) (* (PI) 1/8))) (/ -2 (PI))))) (*.f64 f (*.f64 (*.f64 f #s(literal -1/12 binary64)) (PI.f64))))
cost-diff0
#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)))))))) #s(approx (+ (* (- (neg (log (* 1/4 (PI)))) (log f)) (/ -4 (PI))) (* f (* (* (* f (* (PI) 1/2)) (+ (* (* (PI) 1/48) -2) (* (PI) 1/8))) (/ -2 (PI))))) (*.f64 f (*.f64 (*.f64 f #s(literal -1/12 binary64)) (PI.f64)))))
cost-diff128
(*.f64 (*.f64 (PI.f64) #s(literal 1/12 binary64)) (*.f64 (*.f64 (PI.f64) f) #s(literal -1 binary64)))
cost-diff128
(-.f64 (*.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/12 binary64)) (*.f64 (*.f64 (PI.f64) f) #s(literal -1 binary64))) f) (*.f64 #s(literal -4 binary64) (log.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))))
cost-diff192
(*.f64 (*.f64 (PI.f64) f) #s(literal -1 binary64))
cost-diff320
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/12 binary64)) (*.f64 (*.f64 (PI.f64) f) #s(literal -1 binary64))) f) (*.f64 #s(literal -4 binary64) (log.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))))) (PI.f64))
Rules
6 720×lower-fma.f32
6 718×lower-fma.f64
5 928×lower-*.f32
5 886×lower-*.f64
1 892×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
091815
0131803
1281731
2802667
33307661
46947661
08030650
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
#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 (*.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/12 binary64)) (*.f64 (*.f64 (PI.f64) f) #s(literal -1 binary64))) f) (*.f64 #s(literal -4 binary64) (log.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))))) (PI.f64)))
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/12 binary64)) (*.f64 (*.f64 (PI.f64) f) #s(literal -1 binary64))) f) (*.f64 #s(literal -4 binary64) (log.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))))) (PI.f64))
(-.f64 (*.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/12 binary64)) (*.f64 (*.f64 (PI.f64) f) #s(literal -1 binary64))) f) (*.f64 #s(literal -4 binary64) (log.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))))
(*.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/12 binary64)) (*.f64 (*.f64 (PI.f64) f) #s(literal -1 binary64))) f)
(*.f64 (*.f64 (PI.f64) #s(literal 1/12 binary64)) (*.f64 (*.f64 (PI.f64) f) #s(literal -1 binary64)))
(*.f64 (PI.f64) #s(literal 1/12 binary64))
(PI.f64)
#s(literal 1/12 binary64)
(*.f64 (*.f64 (PI.f64) f) #s(literal -1 binary64))
(*.f64 (PI.f64) f)
f
#s(literal -1 binary64)
(*.f64 #s(literal -4 binary64) (log.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))))
#s(literal -4 binary64)
(log.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))
(*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))
(*.f64 #s(literal 1/4 binary64) f)
#s(literal 1/4 binary64)
#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)))))))) #s(approx (+ (* (- (neg (log (* 1/4 (PI)))) (log f)) (/ -4 (PI))) (* f (* (* (* f (* (PI) 1/2)) (+ (* (* (PI) 1/48) -2) (* (PI) 1/8))) (/ -2 (PI))))) (*.f64 f (*.f64 (*.f64 f #s(literal -1/12 binary64)) (PI.f64)))))
#s(approx (+ (* (- (neg (log (* 1/4 (PI)))) (log f)) (/ -4 (PI))) (* f (* (* (* f (* (PI) 1/2)) (+ (* (* (PI) 1/48) -2) (* (PI) 1/8))) (/ -2 (PI))))) (*.f64 f (*.f64 (*.f64 f #s(literal -1/12 binary64)) (PI.f64))))
(*.f64 f (*.f64 (*.f64 f #s(literal -1/12 binary64)) (PI.f64)))
f
(*.f64 (*.f64 f #s(literal -1/12 binary64)) (PI.f64))
(*.f64 f #s(literal -1/12 binary64))
#s(literal -1/12 binary64)
(PI.f64)
#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)))))))) #s(approx (+ (* (- (neg (log (* 1/4 (PI)))) (log f)) (/ -4 (PI))) (* f (* (* (* f (* (PI) 1/2)) (+ (* (* (PI) 1/48) -2) (* (PI) 1/8))) (/ -2 (PI))))) (*.f64 (*.f64 (PI.f64) f) (*.f64 #s(literal -1/12 binary64) f))))
#s(approx (+ (* (- (neg (log (* 1/4 (PI)))) (log f)) (/ -4 (PI))) (* f (* (* (* f (* (PI) 1/2)) (+ (* (* (PI) 1/48) -2) (* (PI) 1/8))) (/ -2 (PI))))) (*.f64 (*.f64 (PI.f64) f) (*.f64 #s(literal -1/12 binary64) f)))
(*.f64 (*.f64 (PI.f64) f) (*.f64 #s(literal -1/12 binary64) f))
(*.f64 (PI.f64) f)
(PI.f64)
f
(*.f64 #s(literal -1/12 binary64) f)
#s(literal -1/12 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)))))))) #s(approx (+ (* (- (neg (log (* 1/4 (PI)))) (log f)) (/ -4 (PI))) (* f (* (* (* f (* (PI) 1/2)) (+ (* (* (PI) 1/48) -2) (* (PI) 1/8))) (/ -2 (PI))))) (*.f64 f (*.f64 f (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64)))) #s(literal -1/12 binary64))))))
#s(approx (+ (* (- (neg (log (* 1/4 (PI)))) (log f)) (/ -4 (PI))) (* f (* (* (* f (* (PI) 1/2)) (+ (* (* (PI) 1/48) -2) (* (PI) 1/8))) (/ -2 (PI))))) (*.f64 f (*.f64 f (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64)))) #s(literal -1/12 binary64)))))
(*.f64 f (*.f64 f (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64)))) #s(literal -1/12 binary64))))
f
(*.f64 f (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64)))) #s(literal -1/12 binary64)))
(*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64)))) #s(literal -1/12 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)))
(PI.f64)
(sqrt.f64 (PI.f64))
(sqrt.f64 (sqrt.f64 (PI.f64)))
#s(literal -1/12 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)))))))) (fma.f64 (/.f64 #s(literal -4 binary64) (PI.f64)) (neg.f64 (log.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))) #s(approx (/ (* (* f (* (PI) 1/12)) (* (PI) (* 1/2 f))) (* (PI) -1/2)) (*.f64 (*.f64 (PI.f64) (*.f64 f f)) #s(literal -1/12 binary64)))))
(fma.f64 (/.f64 #s(literal -4 binary64) (PI.f64)) (neg.f64 (log.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))) #s(approx (/ (* (* f (* (PI) 1/12)) (* (PI) (* 1/2 f))) (* (PI) -1/2)) (*.f64 (*.f64 (PI.f64) (*.f64 f f)) #s(literal -1/12 binary64))))
(/.f64 #s(literal -4 binary64) (PI.f64))
#s(literal -4 binary64)
(PI.f64)
(neg.f64 (log.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))))
(log.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))
(*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))
(*.f64 #s(literal 1/4 binary64) f)
#s(literal 1/4 binary64)
f
#s(approx (/ (* (* f (* (PI) 1/12)) (* (PI) (* 1/2 f))) (* (PI) -1/2)) (*.f64 (*.f64 (PI.f64) (*.f64 f f)) #s(literal -1/12 binary64)))
(*.f64 (*.f64 (PI.f64) (*.f64 f f)) #s(literal -1/12 binary64))
(*.f64 (PI.f64) (*.f64 f f))
(*.f64 f f)
#s(literal -1/12 binary64)
Outputs
#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 (*.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/12 binary64)) (*.f64 (*.f64 (PI.f64) f) #s(literal -1 binary64))) f) (*.f64 #s(literal -4 binary64) (log.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))))) (PI.f64)))
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (fma.f64 (PI.f64) (*.f64 #s(literal -1/12 binary64) (*.f64 f f)) (*.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (log.f64 (*.f64 (PI.f64) (*.f64 f #s(literal 1/4 binary64)))))))
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/12 binary64)) (*.f64 (*.f64 (PI.f64) f) #s(literal -1 binary64))) f) (*.f64 #s(literal -4 binary64) (log.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))))) (PI.f64))
(fma.f64 (PI.f64) (*.f64 #s(literal -1/12 binary64) (*.f64 f f)) (*.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (log.f64 (*.f64 (PI.f64) (*.f64 f #s(literal 1/4 binary64))))))
(-.f64 (*.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/12 binary64)) (*.f64 (*.f64 (PI.f64) f) #s(literal -1 binary64))) f) (*.f64 #s(literal -4 binary64) (log.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))))
(fma.f64 #s(literal 4 binary64) (log.f64 (*.f64 (PI.f64) (*.f64 f #s(literal 1/4 binary64)))) (*.f64 (PI.f64) (*.f64 #s(literal -1/12 binary64) (*.f64 (PI.f64) (*.f64 f f)))))
(*.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/12 binary64)) (*.f64 (*.f64 (PI.f64) f) #s(literal -1 binary64))) f)
(*.f64 (PI.f64) (*.f64 #s(literal -1/12 binary64) (*.f64 (PI.f64) (*.f64 f f))))
(*.f64 (*.f64 (PI.f64) #s(literal 1/12 binary64)) (*.f64 (*.f64 (PI.f64) f) #s(literal -1 binary64)))
(*.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) f) #s(literal -1/12 binary64)))
(*.f64 (PI.f64) #s(literal 1/12 binary64))
(PI.f64)
#s(literal 1/12 binary64)
(*.f64 (*.f64 (PI.f64) f) #s(literal -1 binary64))
(*.f64 (PI.f64) (neg.f64 f))
(*.f64 (PI.f64) f)
f
#s(literal -1 binary64)
(*.f64 #s(literal -4 binary64) (log.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))))
(*.f64 #s(literal -4 binary64) (log.f64 (*.f64 (PI.f64) (*.f64 f #s(literal 1/4 binary64)))))
#s(literal -4 binary64)
(log.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))
(log.f64 (*.f64 (PI.f64) (*.f64 f #s(literal 1/4 binary64))))
(*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))
(*.f64 (PI.f64) (*.f64 f #s(literal 1/4 binary64)))
(*.f64 #s(literal 1/4 binary64) f)
(*.f64 f #s(literal 1/4 binary64))
#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)))))))) #s(approx (+ (* (- (neg (log (* 1/4 (PI)))) (log f)) (/ -4 (PI))) (* f (* (* (* f (* (PI) 1/2)) (+ (* (* (PI) 1/48) -2) (* (PI) 1/8))) (/ -2 (PI))))) (*.f64 f (*.f64 (*.f64 f #s(literal -1/12 binary64)) (PI.f64)))))
#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)))))))) #s(approx (+ (* (- (neg (log (* 1/4 (PI)))) (log f)) (/ -4 (PI))) (* f (* (* (* f (* (PI) 1/2)) (+ (* (* (PI) 1/48) -2) (* (PI) 1/8))) (/ -2 (PI))))) (*.f64 #s(literal -1/12 binary64) (*.f64 (PI.f64) (*.f64 f f)))))
#s(approx (+ (* (- (neg (log (* 1/4 (PI)))) (log f)) (/ -4 (PI))) (* f (* (* (* f (* (PI) 1/2)) (+ (* (* (PI) 1/48) -2) (* (PI) 1/8))) (/ -2 (PI))))) (*.f64 f (*.f64 (*.f64 f #s(literal -1/12 binary64)) (PI.f64))))
#s(approx (+ (* (- (neg (log (* 1/4 (PI)))) (log f)) (/ -4 (PI))) (* f (* (* (* f (* (PI) 1/2)) (+ (* (* (PI) 1/48) -2) (* (PI) 1/8))) (/ -2 (PI))))) (*.f64 #s(literal -1/12 binary64) (*.f64 (PI.f64) (*.f64 f f))))
(*.f64 f (*.f64 (*.f64 f #s(literal -1/12 binary64)) (PI.f64)))
(*.f64 #s(literal -1/12 binary64) (*.f64 (PI.f64) (*.f64 f f)))
f
(*.f64 (*.f64 f #s(literal -1/12 binary64)) (PI.f64))
(*.f64 (*.f64 (PI.f64) f) #s(literal -1/12 binary64))
(*.f64 f #s(literal -1/12 binary64))
#s(literal -1/12 binary64)
(PI.f64)
#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)))))))) #s(approx (+ (* (- (neg (log (* 1/4 (PI)))) (log f)) (/ -4 (PI))) (* f (* (* (* f (* (PI) 1/2)) (+ (* (* (PI) 1/48) -2) (* (PI) 1/8))) (/ -2 (PI))))) (*.f64 (*.f64 (PI.f64) f) (*.f64 #s(literal -1/12 binary64) f))))
#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)))))))) #s(approx (+ (* (- (neg (log (* 1/4 (PI)))) (log f)) (/ -4 (PI))) (* f (* (* (* f (* (PI) 1/2)) (+ (* (* (PI) 1/48) -2) (* (PI) 1/8))) (/ -2 (PI))))) (*.f64 #s(literal -1/12 binary64) (*.f64 (PI.f64) (*.f64 f f)))))
#s(approx (+ (* (- (neg (log (* 1/4 (PI)))) (log f)) (/ -4 (PI))) (* f (* (* (* f (* (PI) 1/2)) (+ (* (* (PI) 1/48) -2) (* (PI) 1/8))) (/ -2 (PI))))) (*.f64 (*.f64 (PI.f64) f) (*.f64 #s(literal -1/12 binary64) f)))
#s(approx (+ (* (- (neg (log (* 1/4 (PI)))) (log f)) (/ -4 (PI))) (* f (* (* (* f (* (PI) 1/2)) (+ (* (* (PI) 1/48) -2) (* (PI) 1/8))) (/ -2 (PI))))) (*.f64 #s(literal -1/12 binary64) (*.f64 (PI.f64) (*.f64 f f))))
(*.f64 (*.f64 (PI.f64) f) (*.f64 #s(literal -1/12 binary64) f))
(*.f64 #s(literal -1/12 binary64) (*.f64 (PI.f64) (*.f64 f f)))
(*.f64 (PI.f64) f)
(PI.f64)
f
(*.f64 #s(literal -1/12 binary64) f)
(*.f64 f #s(literal -1/12 binary64))
#s(literal -1/12 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)))))))) #s(approx (+ (* (- (neg (log (* 1/4 (PI)))) (log f)) (/ -4 (PI))) (* f (* (* (* f (* (PI) 1/2)) (+ (* (* (PI) 1/48) -2) (* (PI) 1/8))) (/ -2 (PI))))) (*.f64 f (*.f64 f (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64)))) #s(literal -1/12 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)))))))) #s(approx (+ (* (- (neg (log (* 1/4 (PI)))) (log f)) (/ -4 (PI))) (* f (* (* (* f (* (PI) 1/2)) (+ (* (* (PI) 1/48) -2) (* (PI) 1/8))) (/ -2 (PI))))) (*.f64 (*.f64 (*.f64 #s(literal -1/12 binary64) (*.f64 f f)) (sqrt.f64 (sqrt.f64 (PI.f64)))) (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))))))
#s(approx (+ (* (- (neg (log (* 1/4 (PI)))) (log f)) (/ -4 (PI))) (* f (* (* (* f (* (PI) 1/2)) (+ (* (* (PI) 1/48) -2) (* (PI) 1/8))) (/ -2 (PI))))) (*.f64 f (*.f64 f (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64)))) #s(literal -1/12 binary64)))))
#s(approx (+ (* (- (neg (log (* 1/4 (PI)))) (log f)) (/ -4 (PI))) (* f (* (* (* f (* (PI) 1/2)) (+ (* (* (PI) 1/48) -2) (* (PI) 1/8))) (/ -2 (PI))))) (*.f64 (*.f64 (*.f64 #s(literal -1/12 binary64) (*.f64 f f)) (sqrt.f64 (sqrt.f64 (PI.f64)))) (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64))))))
(*.f64 f (*.f64 f (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64)))) #s(literal -1/12 binary64))))
(*.f64 (*.f64 (*.f64 #s(literal -1/12 binary64) (*.f64 f f)) (sqrt.f64 (sqrt.f64 (PI.f64)))) (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))))
f
(*.f64 f (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64)))) #s(literal -1/12 binary64)))
(*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (*.f64 (sqrt.f64 (sqrt.f64 (PI.f64))) (*.f64 f #s(literal -1/12 binary64))))
(*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64)))) #s(literal -1/12 binary64))
(*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (*.f64 #s(literal -1/12 binary64) (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)))
(PI.f64)
(sqrt.f64 (PI.f64))
(sqrt.f64 (sqrt.f64 (PI.f64)))
#s(literal -1/12 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)))))))) (fma.f64 (/.f64 #s(literal -4 binary64) (PI.f64)) (neg.f64 (log.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))) #s(approx (/ (* (* f (* (PI) 1/12)) (* (PI) (* 1/2 f))) (* (PI) -1/2)) (*.f64 (*.f64 (PI.f64) (*.f64 f f)) #s(literal -1/12 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)))))))) (fma.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (log.f64 (*.f64 (PI.f64) (*.f64 f #s(literal 1/4 binary64)))) #s(approx (/ (* (* f (* (PI) 1/12)) (* (PI) (* 1/2 f))) (* (PI) -1/2)) (*.f64 #s(literal -1/12 binary64) (*.f64 (PI.f64) (*.f64 f f))))))
(fma.f64 (/.f64 #s(literal -4 binary64) (PI.f64)) (neg.f64 (log.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))) #s(approx (/ (* (* f (* (PI) 1/12)) (* (PI) (* 1/2 f))) (* (PI) -1/2)) (*.f64 (*.f64 (PI.f64) (*.f64 f f)) #s(literal -1/12 binary64))))
(fma.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (log.f64 (*.f64 (PI.f64) (*.f64 f #s(literal 1/4 binary64)))) #s(approx (/ (* (* f (* (PI) 1/12)) (* (PI) (* 1/2 f))) (* (PI) -1/2)) (*.f64 #s(literal -1/12 binary64) (*.f64 (PI.f64) (*.f64 f f)))))
(/.f64 #s(literal -4 binary64) (PI.f64))
#s(literal -4 binary64)
(PI.f64)
(neg.f64 (log.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))))
(neg.f64 (log.f64 (*.f64 (PI.f64) (*.f64 f #s(literal 1/4 binary64)))))
(log.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))
(log.f64 (*.f64 (PI.f64) (*.f64 f #s(literal 1/4 binary64))))
(*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))
(*.f64 (PI.f64) (*.f64 f #s(literal 1/4 binary64)))
(*.f64 #s(literal 1/4 binary64) f)
(*.f64 f #s(literal 1/4 binary64))
#s(literal 1/4 binary64)
f
#s(approx (/ (* (* f (* (PI) 1/12)) (* (PI) (* 1/2 f))) (* (PI) -1/2)) (*.f64 (*.f64 (PI.f64) (*.f64 f f)) #s(literal -1/12 binary64)))
#s(approx (/ (* (* f (* (PI) 1/12)) (* (PI) (* 1/2 f))) (* (PI) -1/2)) (*.f64 #s(literal -1/12 binary64) (*.f64 (PI.f64) (*.f64 f f))))
(*.f64 (*.f64 (PI.f64) (*.f64 f f)) #s(literal -1/12 binary64))
(*.f64 #s(literal -1/12 binary64) (*.f64 (PI.f64) (*.f64 f f)))
(*.f64 (PI.f64) (*.f64 f f))
(*.f64 f f)
#s(literal -1/12 binary64)

localize674.0ms (3.2%)

Memory
50.0MiB live, 588.4MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy99.7%
(*.f64 (*.f64 (PI.f64) (*.f64 f f)) #s(literal -1/12 binary64))
accuracy99.6%
(*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))
accuracy99.4%
(fma.f64 (/.f64 #s(literal -4 binary64) (PI.f64)) (neg.f64 (log.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))) #s(approx (/ (* (* f (* (PI) 1/12)) (* (PI) (* 1/2 f))) (* (PI) -1/2)) (*.f64 (*.f64 (PI.f64) (*.f64 f f)) #s(literal -1/12 binary64))))
accuracy97.3%
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (fma.f64 (/.f64 #s(literal -4 binary64) (PI.f64)) (neg.f64 (log.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))) #s(approx (/ (* (* f (* (PI) 1/12)) (* (PI) (* 1/2 f))) (* (PI) -1/2)) (*.f64 (*.f64 (PI.f64) (*.f64 f f)) #s(literal -1/12 binary64)))))
accuracy98.4%
(*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64))))
accuracy98.4%
(sqrt.f64 (PI.f64))
accuracy97.3%
#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)))))))) #s(approx (+ (* (- (neg (log (* 1/4 (PI)))) (log f)) (/ -4 (PI))) (* f (* (* (* f (* (PI) 1/2)) (+ (* (* (PI) 1/48) -2) (* (PI) 1/8))) (/ -2 (PI))))) (*.f64 f (*.f64 f (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64)))) #s(literal -1/12 binary64))))))
accuracy6.0%
#s(approx (+ (* (- (neg (log (* 1/4 (PI)))) (log f)) (/ -4 (PI))) (* f (* (* (* f (* (PI) 1/2)) (+ (* (* (PI) 1/48) -2) (* (PI) 1/8))) (/ -2 (PI))))) (*.f64 f (*.f64 f (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64)))) #s(literal -1/12 binary64)))))
accuracy99.6%
(*.f64 (PI.f64) f)
accuracy99.5%
(*.f64 #s(literal -1/12 binary64) f)
accuracy97.3%
#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)))))))) #s(approx (+ (* (- (neg (log (* 1/4 (PI)))) (log f)) (/ -4 (PI))) (* f (* (* (* f (* (PI) 1/2)) (+ (* (* (PI) 1/48) -2) (* (PI) 1/8))) (/ -2 (PI))))) (*.f64 (*.f64 (PI.f64) f) (*.f64 #s(literal -1/12 binary64) f))))
accuracy6.0%
#s(approx (+ (* (- (neg (log (* 1/4 (PI)))) (log f)) (/ -4 (PI))) (* f (* (* (* f (* (PI) 1/2)) (+ (* (* (PI) 1/48) -2) (* (PI) 1/8))) (/ -2 (PI))))) (*.f64 (*.f64 (PI.f64) f) (*.f64 #s(literal -1/12 binary64) f)))
accuracy99.5%
(*.f64 f #s(literal -1/12 binary64))
accuracy99.4%
(*.f64 (*.f64 f #s(literal -1/12 binary64)) (PI.f64))
accuracy97.3%
#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)))))))) #s(approx (+ (* (- (neg (log (* 1/4 (PI)))) (log f)) (/ -4 (PI))) (* f (* (* (* f (* (PI) 1/2)) (+ (* (* (PI) 1/48) -2) (* (PI) 1/8))) (/ -2 (PI))))) (*.f64 f (*.f64 (*.f64 f #s(literal -1/12 binary64)) (PI.f64)))))
accuracy6.0%
#s(approx (+ (* (- (neg (log (* 1/4 (PI)))) (log f)) (/ -4 (PI))) (* f (* (* (* f (* (PI) 1/2)) (+ (* (* (PI) 1/48) -2) (* (PI) 1/8))) (/ -2 (PI))))) (*.f64 f (*.f64 (*.f64 f #s(literal -1/12 binary64)) (PI.f64))))
accuracy99.5%
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/12 binary64)) (*.f64 (*.f64 (PI.f64) f) #s(literal -1 binary64))) f) (*.f64 #s(literal -4 binary64) (log.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))))) (PI.f64))
accuracy99.1%
(*.f64 (*.f64 (PI.f64) #s(literal 1/12 binary64)) (*.f64 (*.f64 (PI.f64) f) #s(literal -1 binary64)))
accuracy98.4%
(*.f64 (PI.f64) #s(literal 1/12 binary64))
accuracy97.3%
#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 (*.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/12 binary64)) (*.f64 (*.f64 (PI.f64) f) #s(literal -1 binary64))) f) (*.f64 #s(literal -4 binary64) (log.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))))) (PI.f64)))
Samples
375.0ms238×1valid
56.0ms2valid
6.0ms11×0valid
Compiler

Compiled 575 to 82 computations (85.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 368.0ms
ival-mult: 179.0ms (48.7% of total)
adjust: 70.0ms (19% of total)
ival-log: 25.0ms (6.8% of total)
ival-div: 21.0ms (5.7% of total)
ival-exp: 18.0ms (4.9% of total)
ival-add: 18.0ms (4.9% of total)
const: 10.0ms (2.7% of total)
ival-sqrt: 9.0ms (2.4% of total)
ival-neg: 8.0ms (2.2% of total)
ival-sub: 6.0ms (1.6% of total)
ival-pi: 2.0ms (0.5% of total)
exact: 1.0ms (0.3% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series35.0ms (0.2%)

Memory
7.5MiB live, 43.1MiB allocated
Counts
28 → 276
Calls
Call 1
Inputs
#s(alt (/.f64 (-.f64 (*.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/12 binary64)) (*.f64 (*.f64 (PI.f64) f) #s(literal -1 binary64))) f) (*.f64 #s(literal -4 binary64) (log.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))))) (PI.f64)) (patch (/.f64 (-.f64 (*.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/12 binary64)) (*.f64 (*.f64 (PI.f64) f) #s(literal -1 binary64))) f) (*.f64 #s(literal -4 binary64) (log.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))))) (PI.f64)) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 (PI.f64) f) #s(literal -1 binary64)) (patch (*.f64 (*.f64 (PI.f64) f) #s(literal -1 binary64)) #<representation binary64>) () ())
#s(alt (-.f64 (*.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/12 binary64)) (*.f64 (*.f64 (PI.f64) f) #s(literal -1 binary64))) f) (*.f64 #s(literal -4 binary64) (log.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))))) (patch (-.f64 (*.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/12 binary64)) (*.f64 (*.f64 (PI.f64) f) #s(literal -1 binary64))) f) (*.f64 #s(literal -4 binary64) (log.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))))) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 (PI.f64) #s(literal 1/12 binary64)) (*.f64 (*.f64 (PI.f64) f) #s(literal -1 binary64))) (patch (*.f64 (*.f64 (PI.f64) #s(literal 1/12 binary64)) (*.f64 (*.f64 (PI.f64) f) #s(literal -1 binary64))) #<representation binary64>) () ())
#s(alt #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)))))))) #s(approx (+ (* (- (neg (log (* 1/4 (PI)))) (log f)) (/ -4 (PI))) (* f (* (* (* f (* (PI) 1/2)) (+ (* (* (PI) 1/48) -2) (* (PI) 1/8))) (/ -2 (PI))))) (*.f64 f (*.f64 (*.f64 f #s(literal -1/12 binary64)) (PI.f64))))) (patch #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)))))))) #s(approx (+ (* (- (neg (log (* 1/4 (PI)))) (log f)) (/ -4 (PI))) (* f (* (* (* f (* (PI) 1/2)) (+ (* (* (PI) 1/48) -2) (* (PI) 1/8))) (/ -2 (PI))))) (*.f64 f (*.f64 (*.f64 f #s(literal -1/12 binary64)) (PI.f64))))) #<representation binary64>) () ())
#s(alt #s(approx (+ (* (- (neg (log (* 1/4 (PI)))) (log f)) (/ -4 (PI))) (* f (* (* (* f (* (PI) 1/2)) (+ (* (* (PI) 1/48) -2) (* (PI) 1/8))) (/ -2 (PI))))) (*.f64 f (*.f64 (*.f64 f #s(literal -1/12 binary64)) (PI.f64)))) (patch #s(approx (+ (* (- (neg (log (* 1/4 (PI)))) (log f)) (/ -4 (PI))) (* f (* (* (* f (* (PI) 1/2)) (+ (* (* (PI) 1/48) -2) (* (PI) 1/8))) (/ -2 (PI))))) (*.f64 f (*.f64 (*.f64 f #s(literal -1/12 binary64)) (PI.f64)))) #<representation binary64>) () ())
#s(alt (*.f64 f (*.f64 (*.f64 f #s(literal -1/12 binary64)) (PI.f64))) (patch (*.f64 f (*.f64 (*.f64 f #s(literal -1/12 binary64)) (PI.f64))) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 f #s(literal -1/12 binary64)) (PI.f64)) (patch (*.f64 (*.f64 f #s(literal -1/12 binary64)) (PI.f64)) #<representation binary64>) () ())
#s(alt #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)))))))) #s(approx (+ (* (- (neg (log (* 1/4 (PI)))) (log f)) (/ -4 (PI))) (* f (* (* (* f (* (PI) 1/2)) (+ (* (* (PI) 1/48) -2) (* (PI) 1/8))) (/ -2 (PI))))) (*.f64 (*.f64 (PI.f64) f) (*.f64 #s(literal -1/12 binary64) f)))) (patch #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)))))))) #s(approx (+ (* (- (neg (log (* 1/4 (PI)))) (log f)) (/ -4 (PI))) (* f (* (* (* f (* (PI) 1/2)) (+ (* (* (PI) 1/48) -2) (* (PI) 1/8))) (/ -2 (PI))))) (*.f64 (*.f64 (PI.f64) f) (*.f64 #s(literal -1/12 binary64) f)))) #<representation binary64>) () ())
#s(alt #s(approx (+ (* (- (neg (log (* 1/4 (PI)))) (log f)) (/ -4 (PI))) (* f (* (* (* f (* (PI) 1/2)) (+ (* (* (PI) 1/48) -2) (* (PI) 1/8))) (/ -2 (PI))))) (*.f64 (*.f64 (PI.f64) f) (*.f64 #s(literal -1/12 binary64) f))) (patch #s(approx (+ (* (- (neg (log (* 1/4 (PI)))) (log f)) (/ -4 (PI))) (* f (* (* (* f (* (PI) 1/2)) (+ (* (* (PI) 1/48) -2) (* (PI) 1/8))) (/ -2 (PI))))) (*.f64 (*.f64 (PI.f64) f) (*.f64 #s(literal -1/12 binary64) f))) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 (PI.f64) f) (*.f64 #s(literal -1/12 binary64) f)) (patch (*.f64 (*.f64 (PI.f64) f) (*.f64 #s(literal -1/12 binary64) f)) #<representation binary64>) () ())
#s(alt (*.f64 (PI.f64) f) (patch (*.f64 (PI.f64) f) #<representation binary64>) () ())
#s(alt #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)))))))) #s(approx (+ (* (- (neg (log (* 1/4 (PI)))) (log f)) (/ -4 (PI))) (* f (* (* (* f (* (PI) 1/2)) (+ (* (* (PI) 1/48) -2) (* (PI) 1/8))) (/ -2 (PI))))) (*.f64 f (*.f64 f (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64)))) #s(literal -1/12 binary64)))))) (patch #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)))))))) #s(approx (+ (* (- (neg (log (* 1/4 (PI)))) (log f)) (/ -4 (PI))) (* f (* (* (* f (* (PI) 1/2)) (+ (* (* (PI) 1/48) -2) (* (PI) 1/8))) (/ -2 (PI))))) (*.f64 f (*.f64 f (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64)))) #s(literal -1/12 binary64)))))) #<representation binary64>) () ())
#s(alt #s(approx (+ (* (- (neg (log (* 1/4 (PI)))) (log f)) (/ -4 (PI))) (* f (* (* (* f (* (PI) 1/2)) (+ (* (* (PI) 1/48) -2) (* (PI) 1/8))) (/ -2 (PI))))) (*.f64 f (*.f64 f (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64)))) #s(literal -1/12 binary64))))) (patch #s(approx (+ (* (- (neg (log (* 1/4 (PI)))) (log f)) (/ -4 (PI))) (* f (* (* (* f (* (PI) 1/2)) (+ (* (* (PI) 1/48) -2) (* (PI) 1/8))) (/ -2 (PI))))) (*.f64 f (*.f64 f (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64)))) #s(literal -1/12 binary64))))) #<representation binary64>) () ())
#s(alt (*.f64 f (*.f64 f (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64)))) #s(literal -1/12 binary64)))) (patch (*.f64 f (*.f64 f (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64)))) #s(literal -1/12 binary64)))) #<representation binary64>) () ())
#s(alt (*.f64 f (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64)))) #s(literal -1/12 binary64))) (patch (*.f64 f (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64)))) #s(literal -1/12 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 (/.f64 #s(literal -4 binary64) (PI.f64)) (neg.f64 (log.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))) #s(approx (/ (* (* f (* (PI) 1/12)) (* (PI) (* 1/2 f))) (* (PI) -1/2)) (*.f64 (*.f64 (PI.f64) (*.f64 f f)) #s(literal -1/12 binary64)))) (patch (fma.f64 (/.f64 #s(literal -4 binary64) (PI.f64)) (neg.f64 (log.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))) #s(approx (/ (* (* f (* (PI) 1/12)) (* (PI) (* 1/2 f))) (* (PI) -1/2)) (*.f64 (*.f64 (PI.f64) (*.f64 f f)) #s(literal -1/12 binary64)))) #<representation binary64>) () ())
#s(alt #s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (fma.f64 (/.f64 #s(literal -4 binary64) (PI.f64)) (neg.f64 (log.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))) #s(approx (/ (* (* f (* (PI) 1/12)) (* (PI) (* 1/2 f))) (* (PI) -1/2)) (*.f64 (*.f64 (PI.f64) (*.f64 f f)) #s(literal -1/12 binary64))))) (patch #s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (fma.f64 (/.f64 #s(literal -4 binary64) (PI.f64)) (neg.f64 (log.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))) #s(approx (/ (* (* f (* (PI) 1/12)) (* (PI) (* 1/2 f))) (* (PI) -1/2)) (*.f64 (*.f64 (PI.f64) (*.f64 f f)) #s(literal -1/12 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 #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 (*.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/12 binary64)) (*.f64 (*.f64 (PI.f64) f) #s(literal -1 binary64))) f) (*.f64 #s(literal -4 binary64) (log.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))))) (PI.f64))) (patch #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 (*.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/12 binary64)) (*.f64 (*.f64 (PI.f64) f) #s(literal -1 binary64))) f) (*.f64 #s(literal -4 binary64) (log.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))))) (PI.f64))) #<representation binary64>) () ())
#s(alt (*.f64 (PI.f64) #s(literal 1/12 binary64)) (patch (*.f64 (PI.f64) #s(literal 1/12 binary64)) #<representation binary64>) () ())
#s(alt (*.f64 f #s(literal -1/12 binary64)) (patch (*.f64 f #s(literal -1/12 binary64)) #<representation binary64>) () ())
#s(alt (*.f64 #s(literal -1/12 binary64) f) (patch (*.f64 #s(literal -1/12 binary64) f) #<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>) () ())
#s(alt (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)) (patch (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 (PI.f64) (*.f64 f f)) #s(literal -1/12 binary64)) (patch (*.f64 (*.f64 (PI.f64) (*.f64 f f)) #s(literal -1/12 binary64)) #<representation binary64>) () ())
Outputs
#s(alt (* 4 (/ (+ (log f) (log (* 1/4 (PI)))) (PI))) (taylor 0 f) (#s(alt (/.f64 (-.f64 (*.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/12 binary64)) (*.f64 (*.f64 (PI.f64) f) #s(literal -1 binary64))) f) (*.f64 #s(literal -4 binary64) (log.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))))) (PI.f64)) (patch (/.f64 (-.f64 (*.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/12 binary64)) (*.f64 (*.f64 (PI.f64) f) #s(literal -1 binary64))) f) (*.f64 #s(literal -4 binary64) (log.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))))) (PI.f64)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1/12 (* (pow f 2) (PI))) (* 4 (/ (+ (log f) (log (* 1/4 (PI)))) (PI)))) (taylor 0 f) (#s(alt (/.f64 (-.f64 (*.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/12 binary64)) (*.f64 (*.f64 (PI.f64) f) #s(literal -1 binary64))) f) (*.f64 #s(literal -4 binary64) (log.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))))) (PI.f64)) (patch (/.f64 (-.f64 (*.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/12 binary64)) (*.f64 (*.f64 (PI.f64) f) #s(literal -1 binary64))) f) (*.f64 #s(literal -4 binary64) (log.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))))) (PI.f64)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1/12 (* (pow f 2) (PI))) (* 4 (/ (+ (log f) (log (* 1/4 (PI)))) (PI)))) (taylor 0 f) (#s(alt (/.f64 (-.f64 (*.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/12 binary64)) (*.f64 (*.f64 (PI.f64) f) #s(literal -1 binary64))) f) (*.f64 #s(literal -4 binary64) (log.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))))) (PI.f64)) (patch (/.f64 (-.f64 (*.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/12 binary64)) (*.f64 (*.f64 (PI.f64) f) #s(literal -1 binary64))) f) (*.f64 #s(literal -4 binary64) (log.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))))) (PI.f64)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1/12 (* (pow f 2) (PI))) (* 4 (/ (+ (log f) (log (* 1/4 (PI)))) (PI)))) (taylor 0 f) (#s(alt (/.f64 (-.f64 (*.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/12 binary64)) (*.f64 (*.f64 (PI.f64) f) #s(literal -1 binary64))) f) (*.f64 #s(literal -4 binary64) (log.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))))) (PI.f64)) (patch (/.f64 (-.f64 (*.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/12 binary64)) (*.f64 (*.f64 (PI.f64) f) #s(literal -1 binary64))) f) (*.f64 #s(literal -4 binary64) (log.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))))) (PI.f64)) #<representation binary64>) () ())) ())
#s(alt (* -1/12 (* (pow f 2) (PI))) (taylor inf f) (#s(alt (/.f64 (-.f64 (*.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/12 binary64)) (*.f64 (*.f64 (PI.f64) f) #s(literal -1 binary64))) f) (*.f64 #s(literal -4 binary64) (log.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))))) (PI.f64)) (patch (/.f64 (-.f64 (*.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/12 binary64)) (*.f64 (*.f64 (PI.f64) f) #s(literal -1 binary64))) f) (*.f64 #s(literal -4 binary64) (log.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))))) (PI.f64)) #<representation binary64>) () ())) ())
#s(alt (* (pow f 2) (+ (* -1/12 (PI)) (* 4 (/ (+ (log (* 1/4 (PI))) (* -1 (log (/ 1 f)))) (* (pow f 2) (PI)))))) (taylor inf f) (#s(alt (/.f64 (-.f64 (*.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/12 binary64)) (*.f64 (*.f64 (PI.f64) f) #s(literal -1 binary64))) f) (*.f64 #s(literal -4 binary64) (log.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))))) (PI.f64)) (patch (/.f64 (-.f64 (*.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/12 binary64)) (*.f64 (*.f64 (PI.f64) f) #s(literal -1 binary64))) f) (*.f64 #s(literal -4 binary64) (log.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))))) (PI.f64)) #<representation binary64>) () ())) ())
#s(alt (* (pow f 2) (+ (* -1/12 (PI)) (* 4 (/ (+ (log (* 1/4 (PI))) (* -1 (log (/ 1 f)))) (* (pow f 2) (PI)))))) (taylor inf f) (#s(alt (/.f64 (-.f64 (*.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/12 binary64)) (*.f64 (*.f64 (PI.f64) f) #s(literal -1 binary64))) f) (*.f64 #s(literal -4 binary64) (log.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))))) (PI.f64)) (patch (/.f64 (-.f64 (*.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/12 binary64)) (*.f64 (*.f64 (PI.f64) f) #s(literal -1 binary64))) f) (*.f64 #s(literal -4 binary64) (log.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))))) (PI.f64)) #<representation binary64>) () ())) ())
#s(alt (* (pow f 2) (+ (* -1/12 (PI)) (* 4 (/ (+ (log (* 1/4 (PI))) (* -1 (log (/ 1 f)))) (* (pow f 2) (PI)))))) (taylor inf f) (#s(alt (/.f64 (-.f64 (*.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/12 binary64)) (*.f64 (*.f64 (PI.f64) f) #s(literal -1 binary64))) f) (*.f64 #s(literal -4 binary64) (log.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))))) (PI.f64)) (patch (/.f64 (-.f64 (*.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/12 binary64)) (*.f64 (*.f64 (PI.f64) f) #s(literal -1 binary64))) f) (*.f64 #s(literal -4 binary64) (log.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))))) (PI.f64)) #<representation binary64>) () ())) ())
#s(alt (* -1/12 (* (pow f 2) (PI))) (taylor -inf f) (#s(alt (/.f64 (-.f64 (*.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/12 binary64)) (*.f64 (*.f64 (PI.f64) f) #s(literal -1 binary64))) f) (*.f64 #s(literal -4 binary64) (log.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))))) (PI.f64)) (patch (/.f64 (-.f64 (*.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/12 binary64)) (*.f64 (*.f64 (PI.f64) f) #s(literal -1 binary64))) f) (*.f64 #s(literal -4 binary64) (log.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))))) (PI.f64)) #<representation binary64>) () ())) ())
#s(alt (* (pow f 2) (+ (* -1/12 (PI)) (* 4 (/ (+ (log (* -1/4 (PI))) (* -1 (log (/ -1 f)))) (* (pow f 2) (PI)))))) (taylor -inf f) (#s(alt (/.f64 (-.f64 (*.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/12 binary64)) (*.f64 (*.f64 (PI.f64) f) #s(literal -1 binary64))) f) (*.f64 #s(literal -4 binary64) (log.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))))) (PI.f64)) (patch (/.f64 (-.f64 (*.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/12 binary64)) (*.f64 (*.f64 (PI.f64) f) #s(literal -1 binary64))) f) (*.f64 #s(literal -4 binary64) (log.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))))) (PI.f64)) #<representation binary64>) () ())) ())
#s(alt (* (pow f 2) (+ (* -1/12 (PI)) (* 4 (/ (+ (log (* -1/4 (PI))) (* -1 (log (/ -1 f)))) (* (pow f 2) (PI)))))) (taylor -inf f) (#s(alt (/.f64 (-.f64 (*.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/12 binary64)) (*.f64 (*.f64 (PI.f64) f) #s(literal -1 binary64))) f) (*.f64 #s(literal -4 binary64) (log.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))))) (PI.f64)) (patch (/.f64 (-.f64 (*.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/12 binary64)) (*.f64 (*.f64 (PI.f64) f) #s(literal -1 binary64))) f) (*.f64 #s(literal -4 binary64) (log.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))))) (PI.f64)) #<representation binary64>) () ())) ())
#s(alt (* (pow f 2) (+ (* -1/12 (PI)) (* 4 (/ (+ (log (* -1/4 (PI))) (* -1 (log (/ -1 f)))) (* (pow f 2) (PI)))))) (taylor -inf f) (#s(alt (/.f64 (-.f64 (*.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/12 binary64)) (*.f64 (*.f64 (PI.f64) f) #s(literal -1 binary64))) f) (*.f64 #s(literal -4 binary64) (log.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))))) (PI.f64)) (patch (/.f64 (-.f64 (*.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/12 binary64)) (*.f64 (*.f64 (PI.f64) f) #s(literal -1 binary64))) f) (*.f64 #s(literal -4 binary64) (log.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))))) (PI.f64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* f (PI))) (taylor 0 f) (#s(alt (*.f64 (*.f64 (PI.f64) f) #s(literal -1 binary64)) (patch (*.f64 (*.f64 (PI.f64) f) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* f (PI))) (taylor 0 f) (#s(alt (*.f64 (*.f64 (PI.f64) f) #s(literal -1 binary64)) (patch (*.f64 (*.f64 (PI.f64) f) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* f (PI))) (taylor 0 f) (#s(alt (*.f64 (*.f64 (PI.f64) f) #s(literal -1 binary64)) (patch (*.f64 (*.f64 (PI.f64) f) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* f (PI))) (taylor 0 f) (#s(alt (*.f64 (*.f64 (PI.f64) f) #s(literal -1 binary64)) (patch (*.f64 (*.f64 (PI.f64) f) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* f (PI))) (taylor inf f) (#s(alt (*.f64 (*.f64 (PI.f64) f) #s(literal -1 binary64)) (patch (*.f64 (*.f64 (PI.f64) f) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* f (PI))) (taylor inf f) (#s(alt (*.f64 (*.f64 (PI.f64) f) #s(literal -1 binary64)) (patch (*.f64 (*.f64 (PI.f64) f) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* f (PI))) (taylor inf f) (#s(alt (*.f64 (*.f64 (PI.f64) f) #s(literal -1 binary64)) (patch (*.f64 (*.f64 (PI.f64) f) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* f (PI))) (taylor inf f) (#s(alt (*.f64 (*.f64 (PI.f64) f) #s(literal -1 binary64)) (patch (*.f64 (*.f64 (PI.f64) f) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* f (PI))) (taylor -inf f) (#s(alt (*.f64 (*.f64 (PI.f64) f) #s(literal -1 binary64)) (patch (*.f64 (*.f64 (PI.f64) f) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* f (PI))) (taylor -inf f) (#s(alt (*.f64 (*.f64 (PI.f64) f) #s(literal -1 binary64)) (patch (*.f64 (*.f64 (PI.f64) f) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* f (PI))) (taylor -inf f) (#s(alt (*.f64 (*.f64 (PI.f64) f) #s(literal -1 binary64)) (patch (*.f64 (*.f64 (PI.f64) f) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* f (PI))) (taylor -inf f) (#s(alt (*.f64 (*.f64 (PI.f64) f) #s(literal -1 binary64)) (patch (*.f64 (*.f64 (PI.f64) f) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 4 (+ (log f) (log (* 1/4 (PI))))) (taylor 0 f) (#s(alt (-.f64 (*.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/12 binary64)) (*.f64 (*.f64 (PI.f64) f) #s(literal -1 binary64))) f) (*.f64 #s(literal -4 binary64) (log.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))))) (patch (-.f64 (*.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/12 binary64)) (*.f64 (*.f64 (PI.f64) f) #s(literal -1 binary64))) f) (*.f64 #s(literal -4 binary64) (log.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))))) #<representation binary64>) () ())) ())
#s(alt (- (* -1/12 (* (pow f 2) (pow (PI) 2))) (* -4 (+ (log f) (log (* 1/4 (PI)))))) (taylor 0 f) (#s(alt (-.f64 (*.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/12 binary64)) (*.f64 (*.f64 (PI.f64) f) #s(literal -1 binary64))) f) (*.f64 #s(literal -4 binary64) (log.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))))) (patch (-.f64 (*.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/12 binary64)) (*.f64 (*.f64 (PI.f64) f) #s(literal -1 binary64))) f) (*.f64 #s(literal -4 binary64) (log.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))))) #<representation binary64>) () ())) ())
#s(alt (- (* -1/12 (* (pow f 2) (pow (PI) 2))) (* -4 (+ (log f) (log (* 1/4 (PI)))))) (taylor 0 f) (#s(alt (-.f64 (*.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/12 binary64)) (*.f64 (*.f64 (PI.f64) f) #s(literal -1 binary64))) f) (*.f64 #s(literal -4 binary64) (log.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))))) (patch (-.f64 (*.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/12 binary64)) (*.f64 (*.f64 (PI.f64) f) #s(literal -1 binary64))) f) (*.f64 #s(literal -4 binary64) (log.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))))) #<representation binary64>) () ())) ())
#s(alt (- (* -1/12 (* (pow f 2) (pow (PI) 2))) (* -4 (+ (log f) (log (* 1/4 (PI)))))) (taylor 0 f) (#s(alt (-.f64 (*.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/12 binary64)) (*.f64 (*.f64 (PI.f64) f) #s(literal -1 binary64))) f) (*.f64 #s(literal -4 binary64) (log.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))))) (patch (-.f64 (*.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/12 binary64)) (*.f64 (*.f64 (PI.f64) f) #s(literal -1 binary64))) f) (*.f64 #s(literal -4 binary64) (log.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))))) #<representation binary64>) () ())) ())
#s(alt (* -1/12 (* (pow f 2) (pow (PI) 2))) (taylor inf f) (#s(alt (-.f64 (*.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/12 binary64)) (*.f64 (*.f64 (PI.f64) f) #s(literal -1 binary64))) f) (*.f64 #s(literal -4 binary64) (log.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))))) (patch (-.f64 (*.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/12 binary64)) (*.f64 (*.f64 (PI.f64) f) #s(literal -1 binary64))) f) (*.f64 #s(literal -4 binary64) (log.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))))) #<representation binary64>) () ())) ())
#s(alt (* (pow f 2) (+ (* -1/12 (pow (PI) 2)) (* 4 (/ (+ (log (* 1/4 (PI))) (* -1 (log (/ 1 f)))) (pow f 2))))) (taylor inf f) (#s(alt (-.f64 (*.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/12 binary64)) (*.f64 (*.f64 (PI.f64) f) #s(literal -1 binary64))) f) (*.f64 #s(literal -4 binary64) (log.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))))) (patch (-.f64 (*.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/12 binary64)) (*.f64 (*.f64 (PI.f64) f) #s(literal -1 binary64))) f) (*.f64 #s(literal -4 binary64) (log.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))))) #<representation binary64>) () ())) ())
#s(alt (* (pow f 2) (+ (* -1/12 (pow (PI) 2)) (* 4 (/ (+ (log (* 1/4 (PI))) (* -1 (log (/ 1 f)))) (pow f 2))))) (taylor inf f) (#s(alt (-.f64 (*.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/12 binary64)) (*.f64 (*.f64 (PI.f64) f) #s(literal -1 binary64))) f) (*.f64 #s(literal -4 binary64) (log.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))))) (patch (-.f64 (*.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/12 binary64)) (*.f64 (*.f64 (PI.f64) f) #s(literal -1 binary64))) f) (*.f64 #s(literal -4 binary64) (log.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))))) #<representation binary64>) () ())) ())
#s(alt (* (pow f 2) (+ (* -1/12 (pow (PI) 2)) (* 4 (/ (+ (log (* 1/4 (PI))) (* -1 (log (/ 1 f)))) (pow f 2))))) (taylor inf f) (#s(alt (-.f64 (*.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/12 binary64)) (*.f64 (*.f64 (PI.f64) f) #s(literal -1 binary64))) f) (*.f64 #s(literal -4 binary64) (log.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))))) (patch (-.f64 (*.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/12 binary64)) (*.f64 (*.f64 (PI.f64) f) #s(literal -1 binary64))) f) (*.f64 #s(literal -4 binary64) (log.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))))) #<representation binary64>) () ())) ())
#s(alt (* -1/12 (* (pow f 2) (pow (PI) 2))) (taylor -inf f) (#s(alt (-.f64 (*.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/12 binary64)) (*.f64 (*.f64 (PI.f64) f) #s(literal -1 binary64))) f) (*.f64 #s(literal -4 binary64) (log.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))))) (patch (-.f64 (*.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/12 binary64)) (*.f64 (*.f64 (PI.f64) f) #s(literal -1 binary64))) f) (*.f64 #s(literal -4 binary64) (log.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))))) #<representation binary64>) () ())) ())
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#s(alt (* -4 (/ (log (/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI)))))))) (PI))) (taylor -inf f) (#s(alt #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 (*.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/12 binary64)) (*.f64 (*.f64 (PI.f64) f) #s(literal -1 binary64))) f) (*.f64 #s(literal -4 binary64) (log.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))))) (PI.f64))) (patch #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 (*.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/12 binary64)) (*.f64 (*.f64 (PI.f64) f) #s(literal -1 binary64))) f) (*.f64 #s(literal -4 binary64) (log.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))))) (PI.f64))) #<representation binary64>) () ())) ())
#s(alt (* -4 (/ (log (/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI)))))))) (PI))) (taylor -inf f) (#s(alt #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 (*.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/12 binary64)) (*.f64 (*.f64 (PI.f64) f) #s(literal -1 binary64))) f) (*.f64 #s(literal -4 binary64) (log.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))))) (PI.f64))) (patch #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 (*.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/12 binary64)) (*.f64 (*.f64 (PI.f64) f) #s(literal -1 binary64))) f) (*.f64 #s(literal -4 binary64) (log.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))))) (PI.f64))) #<representation binary64>) () ())) ())
#s(alt (* -4 (/ (log (/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI)))))))) (PI))) (taylor -inf f) (#s(alt #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 (*.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/12 binary64)) (*.f64 (*.f64 (PI.f64) f) #s(literal -1 binary64))) f) (*.f64 #s(literal -4 binary64) (log.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))))) (PI.f64))) (patch #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 (*.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/12 binary64)) (*.f64 (*.f64 (PI.f64) f) #s(literal -1 binary64))) f) (*.f64 #s(literal -4 binary64) (log.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))))) (PI.f64))) #<representation binary64>) () ())) ())
#s(alt (* -1/12 f) (taylor 0 f) (#s(alt (*.f64 f #s(literal -1/12 binary64)) (patch (*.f64 f #s(literal -1/12 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1/12 f) (taylor 0 f) (#s(alt (*.f64 f #s(literal -1/12 binary64)) (patch (*.f64 f #s(literal -1/12 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1/12 f) (taylor 0 f) (#s(alt (*.f64 f #s(literal -1/12 binary64)) (patch (*.f64 f #s(literal -1/12 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1/12 f) (taylor 0 f) (#s(alt (*.f64 f #s(literal -1/12 binary64)) (patch (*.f64 f #s(literal -1/12 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1/12 f) (taylor inf f) (#s(alt (*.f64 f #s(literal -1/12 binary64)) (patch (*.f64 f #s(literal -1/12 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1/12 f) (taylor inf f) (#s(alt (*.f64 f #s(literal -1/12 binary64)) (patch (*.f64 f #s(literal -1/12 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1/12 f) (taylor inf f) (#s(alt (*.f64 f #s(literal -1/12 binary64)) (patch (*.f64 f #s(literal -1/12 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1/12 f) (taylor inf f) (#s(alt (*.f64 f #s(literal -1/12 binary64)) (patch (*.f64 f #s(literal -1/12 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1/12 f) (taylor -inf f) (#s(alt (*.f64 f #s(literal -1/12 binary64)) (patch (*.f64 f #s(literal -1/12 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1/12 f) (taylor -inf f) (#s(alt (*.f64 f #s(literal -1/12 binary64)) (patch (*.f64 f #s(literal -1/12 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1/12 f) (taylor -inf f) (#s(alt (*.f64 f #s(literal -1/12 binary64)) (patch (*.f64 f #s(literal -1/12 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1/12 f) (taylor -inf f) (#s(alt (*.f64 f #s(literal -1/12 binary64)) (patch (*.f64 f #s(literal -1/12 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1/12 f) (taylor 0 f) (#s(alt (*.f64 #s(literal -1/12 binary64) f) (patch (*.f64 #s(literal -1/12 binary64) f) #<representation binary64>) () ())) ())
#s(alt (* -1/12 f) (taylor 0 f) (#s(alt (*.f64 #s(literal -1/12 binary64) f) (patch (*.f64 #s(literal -1/12 binary64) f) #<representation binary64>) () ())) ())
#s(alt (* -1/12 f) (taylor 0 f) (#s(alt (*.f64 #s(literal -1/12 binary64) f) (patch (*.f64 #s(literal -1/12 binary64) f) #<representation binary64>) () ())) ())
#s(alt (* -1/12 f) (taylor 0 f) (#s(alt (*.f64 #s(literal -1/12 binary64) f) (patch (*.f64 #s(literal -1/12 binary64) f) #<representation binary64>) () ())) ())
#s(alt (* -1/12 f) (taylor inf f) (#s(alt (*.f64 #s(literal -1/12 binary64) f) (patch (*.f64 #s(literal -1/12 binary64) f) #<representation binary64>) () ())) ())
#s(alt (* -1/12 f) (taylor inf f) (#s(alt (*.f64 #s(literal -1/12 binary64) f) (patch (*.f64 #s(literal -1/12 binary64) f) #<representation binary64>) () ())) ())
#s(alt (* -1/12 f) (taylor inf f) (#s(alt (*.f64 #s(literal -1/12 binary64) f) (patch (*.f64 #s(literal -1/12 binary64) f) #<representation binary64>) () ())) ())
#s(alt (* -1/12 f) (taylor inf f) (#s(alt (*.f64 #s(literal -1/12 binary64) f) (patch (*.f64 #s(literal -1/12 binary64) f) #<representation binary64>) () ())) ())
#s(alt (* -1/12 f) (taylor -inf f) (#s(alt (*.f64 #s(literal -1/12 binary64) f) (patch (*.f64 #s(literal -1/12 binary64) f) #<representation binary64>) () ())) ())
#s(alt (* -1/12 f) (taylor -inf f) (#s(alt (*.f64 #s(literal -1/12 binary64) f) (patch (*.f64 #s(literal -1/12 binary64) f) #<representation binary64>) () ())) ())
#s(alt (* -1/12 f) (taylor -inf f) (#s(alt (*.f64 #s(literal -1/12 binary64) f) (patch (*.f64 #s(literal -1/12 binary64) f) #<representation binary64>) () ())) ())
#s(alt (* -1/12 f) (taylor -inf f) (#s(alt (*.f64 #s(literal -1/12 binary64) f) (patch (*.f64 #s(literal -1/12 binary64) f) #<representation binary64>) () ())) ())
#s(alt (* 1/4 (* f (PI))) (taylor 0 f) (#s(alt (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)) (patch (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)) #<representation binary64>) () ())) ())
#s(alt (* 1/4 (* f (PI))) (taylor 0 f) (#s(alt (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)) (patch (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)) #<representation binary64>) () ())) ())
#s(alt (* 1/4 (* f (PI))) (taylor 0 f) (#s(alt (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)) (patch (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)) #<representation binary64>) () ())) ())
#s(alt (* 1/4 (* f (PI))) (taylor 0 f) (#s(alt (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)) (patch (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)) #<representation binary64>) () ())) ())
#s(alt (* 1/4 (* f (PI))) (taylor inf f) (#s(alt (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)) (patch (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)) #<representation binary64>) () ())) ())
#s(alt (* 1/4 (* f (PI))) (taylor inf f) (#s(alt (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)) (patch (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)) #<representation binary64>) () ())) ())
#s(alt (* 1/4 (* f (PI))) (taylor inf f) (#s(alt (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)) (patch (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)) #<representation binary64>) () ())) ())
#s(alt (* 1/4 (* f (PI))) (taylor inf f) (#s(alt (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)) (patch (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)) #<representation binary64>) () ())) ())
#s(alt (* 1/4 (* f (PI))) (taylor -inf f) (#s(alt (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)) (patch (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)) #<representation binary64>) () ())) ())
#s(alt (* 1/4 (* f (PI))) (taylor -inf f) (#s(alt (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)) (patch (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)) #<representation binary64>) () ())) ())
#s(alt (* 1/4 (* f (PI))) (taylor -inf f) (#s(alt (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)) (patch (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)) #<representation binary64>) () ())) ())
#s(alt (* 1/4 (* f (PI))) (taylor -inf f) (#s(alt (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)) (patch (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)) #<representation binary64>) () ())) ())
#s(alt (* -1/12 (* (pow f 2) (PI))) (taylor 0 f) (#s(alt (*.f64 (*.f64 (PI.f64) (*.f64 f f)) #s(literal -1/12 binary64)) (patch (*.f64 (*.f64 (PI.f64) (*.f64 f f)) #s(literal -1/12 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1/12 (* (pow f 2) (PI))) (taylor 0 f) (#s(alt (*.f64 (*.f64 (PI.f64) (*.f64 f f)) #s(literal -1/12 binary64)) (patch (*.f64 (*.f64 (PI.f64) (*.f64 f f)) #s(literal -1/12 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1/12 (* (pow f 2) (PI))) (taylor 0 f) (#s(alt (*.f64 (*.f64 (PI.f64) (*.f64 f f)) #s(literal -1/12 binary64)) (patch (*.f64 (*.f64 (PI.f64) (*.f64 f f)) #s(literal -1/12 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1/12 (* (pow f 2) (PI))) (taylor 0 f) (#s(alt (*.f64 (*.f64 (PI.f64) (*.f64 f f)) #s(literal -1/12 binary64)) (patch (*.f64 (*.f64 (PI.f64) (*.f64 f f)) #s(literal -1/12 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1/12 (* (pow f 2) (PI))) (taylor inf f) (#s(alt (*.f64 (*.f64 (PI.f64) (*.f64 f f)) #s(literal -1/12 binary64)) (patch (*.f64 (*.f64 (PI.f64) (*.f64 f f)) #s(literal -1/12 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1/12 (* (pow f 2) (PI))) (taylor inf f) (#s(alt (*.f64 (*.f64 (PI.f64) (*.f64 f f)) #s(literal -1/12 binary64)) (patch (*.f64 (*.f64 (PI.f64) (*.f64 f f)) #s(literal -1/12 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1/12 (* (pow f 2) (PI))) (taylor inf f) (#s(alt (*.f64 (*.f64 (PI.f64) (*.f64 f f)) #s(literal -1/12 binary64)) (patch (*.f64 (*.f64 (PI.f64) (*.f64 f f)) #s(literal -1/12 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1/12 (* (pow f 2) (PI))) (taylor inf f) (#s(alt (*.f64 (*.f64 (PI.f64) (*.f64 f f)) #s(literal -1/12 binary64)) (patch (*.f64 (*.f64 (PI.f64) (*.f64 f f)) #s(literal -1/12 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1/12 (* (pow f 2) (PI))) (taylor -inf f) (#s(alt (*.f64 (*.f64 (PI.f64) (*.f64 f f)) #s(literal -1/12 binary64)) (patch (*.f64 (*.f64 (PI.f64) (*.f64 f f)) #s(literal -1/12 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1/12 (* (pow f 2) (PI))) (taylor -inf f) (#s(alt (*.f64 (*.f64 (PI.f64) (*.f64 f f)) #s(literal -1/12 binary64)) (patch (*.f64 (*.f64 (PI.f64) (*.f64 f f)) #s(literal -1/12 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1/12 (* (pow f 2) (PI))) (taylor -inf f) (#s(alt (*.f64 (*.f64 (PI.f64) (*.f64 f f)) #s(literal -1/12 binary64)) (patch (*.f64 (*.f64 (PI.f64) (*.f64 f f)) #s(literal -1/12 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1/12 (* (pow f 2) (PI))) (taylor -inf f) (#s(alt (*.f64 (*.f64 (PI.f64) (*.f64 f f)) #s(literal -1/12 binary64)) (patch (*.f64 (*.f64 (PI.f64) (*.f64 f f)) #s(literal -1/12 binary64)) #<representation binary64>) () ())) ())
Calls

69 calls:

TimeVariablePointExpression
12.0ms
f
@0
(* (* (PI) f) -1)
1.0ms
f
@0
(/ (- (* (* (* (PI) 1/12) (* (* (PI) f) -1)) f) (* -4 (log (* (PI) (* 1/4 f))))) (PI))
1.0ms
f
@inf
(/ (- (* (* (* (PI) 1/12) (* (* (PI) f) -1)) f) (* -4 (log (* (PI) (* 1/4 f))))) (PI))
0.0ms
f
@0
(* (* (PI) 1/12) (* (* (PI) f) -1))
0.0ms
f
@-inf
(/ (- (* (* (* (PI) 1/12) (* (* (PI) f) -1)) f) (* -4 (log (* (PI) (* 1/4 f))))) (PI))

simplify586.0ms (2.8%)

Memory
-15.0MiB live, 602.9MiB allocated
Algorithm
egg-herbie
Rules
16 732×lower-fma.f64
16 732×lower-fma.f32
4 194×lower-*.f64
4 194×lower-*.f32
2 032×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01634434
14754161
217913941
364463789
088633715
Stop Event
iter limit
node limit
Counts
276 → 276
Calls
Call 1
Inputs
(* 4 (/ (+ (log f) (log (* 1/4 (PI)))) (PI)))
(+ (* -1/12 (* (pow f 2) (PI))) (* 4 (/ (+ (log f) (log (* 1/4 (PI)))) (PI))))
(+ (* -1/12 (* (pow f 2) (PI))) (* 4 (/ (+ (log f) (log (* 1/4 (PI)))) (PI))))
(+ (* -1/12 (* (pow f 2) (PI))) (* 4 (/ (+ (log f) (log (* 1/4 (PI)))) (PI))))
(* -1/12 (* (pow f 2) (PI)))
(* (pow f 2) (+ (* -1/12 (PI)) (* 4 (/ (+ (log (* 1/4 (PI))) (* -1 (log (/ 1 f)))) (* (pow f 2) (PI))))))
(* (pow f 2) (+ (* -1/12 (PI)) (* 4 (/ (+ (log (* 1/4 (PI))) (* -1 (log (/ 1 f)))) (* (pow f 2) (PI))))))
(* (pow f 2) (+ (* -1/12 (PI)) (* 4 (/ (+ (log (* 1/4 (PI))) (* -1 (log (/ 1 f)))) (* (pow f 2) (PI))))))
(* -1/12 (* (pow f 2) (PI)))
(* (pow f 2) (+ (* -1/12 (PI)) (* 4 (/ (+ (log (* -1/4 (PI))) (* -1 (log (/ -1 f)))) (* (pow f 2) (PI))))))
(* (pow f 2) (+ (* -1/12 (PI)) (* 4 (/ (+ (log (* -1/4 (PI))) (* -1 (log (/ -1 f)))) (* (pow f 2) (PI))))))
(* (pow f 2) (+ (* -1/12 (PI)) (* 4 (/ (+ (log (* -1/4 (PI))) (* -1 (log (/ -1 f)))) (* (pow f 2) (PI))))))
(* -1 (* f (PI)))
(* -1 (* f (PI)))
(* -1 (* f (PI)))
(* -1 (* f (PI)))
(* -1 (* f (PI)))
(* -1 (* f (PI)))
(* -1 (* f (PI)))
(* -1 (* f (PI)))
(* -1 (* f (PI)))
(* -1 (* f (PI)))
(* -1 (* f (PI)))
(* -1 (* f (PI)))
(* 4 (+ (log f) (log (* 1/4 (PI)))))
(- (* -1/12 (* (pow f 2) (pow (PI) 2))) (* -4 (+ (log f) (log (* 1/4 (PI))))))
(- (* -1/12 (* (pow f 2) (pow (PI) 2))) (* -4 (+ (log f) (log (* 1/4 (PI))))))
(- (* -1/12 (* (pow f 2) (pow (PI) 2))) (* -4 (+ (log f) (log (* 1/4 (PI))))))
(* -1/12 (* (pow f 2) (pow (PI) 2)))
(* (pow f 2) (+ (* -1/12 (pow (PI) 2)) (* 4 (/ (+ (log (* 1/4 (PI))) (* -1 (log (/ 1 f)))) (pow f 2)))))
(* (pow f 2) (+ (* -1/12 (pow (PI) 2)) (* 4 (/ (+ (log (* 1/4 (PI))) (* -1 (log (/ 1 f)))) (pow f 2)))))
(* (pow f 2) (+ (* -1/12 (pow (PI) 2)) (* 4 (/ (+ (log (* 1/4 (PI))) (* -1 (log (/ 1 f)))) (pow f 2)))))
(* -1/12 (* (pow f 2) (pow (PI) 2)))
(* (pow f 2) (+ (* -1/12 (pow (PI) 2)) (* 4 (/ (+ (log (* -1/4 (PI))) (* -1 (log (/ -1 f)))) (pow f 2)))))
(* (pow f 2) (+ (* -1/12 (pow (PI) 2)) (* 4 (/ (+ (log (* -1/4 (PI))) (* -1 (log (/ -1 f)))) (pow f 2)))))
(* (pow f 2) (+ (* -1/12 (pow (PI) 2)) (* 4 (/ (+ (log (* -1/4 (PI))) (* -1 (log (/ -1 f)))) (pow f 2)))))
(* -1/12 (* f (pow (PI) 2)))
(* -1/12 (* f (pow (PI) 2)))
(* -1/12 (* f (pow (PI) 2)))
(* -1/12 (* f (pow (PI) 2)))
(* -1/12 (* f (pow (PI) 2)))
(* -1/12 (* f (pow (PI) 2)))
(* -1/12 (* f (pow (PI) 2)))
(* -1/12 (* f (pow (PI) 2)))
(* -1/12 (* f (pow (PI) 2)))
(* -1/12 (* f (pow (PI) 2)))
(* -1/12 (* f (pow (PI) 2)))
(* -1/12 (* f (pow (PI) 2)))
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(* (pow f 2) (+ (* -1/12 (PI)) (* 4 (/ (+ (log (* 1/4 (PI))) (* -1 (log (/ 1 f)))) (* (pow f 2) (PI))))))
(* -1/12 (* (pow f 2) (PI)))
(* (pow f 2) (+ (* -1/12 (PI)) (* 4 (/ (+ (log (* -1/4 (PI))) (* -1 (log (/ -1 f)))) (* (pow f 2) (PI))))))
(* (pow f 2) (+ (* -1/12 (PI)) (* 4 (/ (+ (log (* -1/4 (PI))) (* -1 (log (/ -1 f)))) (* (pow f 2) (PI))))))
(* (pow f 2) (+ (* -1/12 (PI)) (* 4 (/ (+ (log (* -1/4 (PI))) (* -1 (log (/ -1 f)))) (* (pow f 2) (PI))))))
(* -4 (/ (+ (log (/ 2 (- (* 1/4 (PI)) (* -1/4 (PI))))) (* -1 (log f))) (PI)))
(- (* -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))))
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(- (* f (- (* 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))))) (* 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))))) (* 4 (/ (+ (log (/ 2 (- (* 1/4 (PI)) (* -1/4 (PI))))) (* -1 (log f))) (PI))))
(* -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)))
(* -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)))
(* -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)))
(* -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)))
(* -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)))
(* -4 (/ (log (/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI)))))))) (PI)))
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(* -4 (/ (log (/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI)))))))) (PI)))
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(- (* 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))))) (* 4 (/ (+ (log (/ 2 (- (* 1/4 (PI)) (* -1/4 (PI))))) (* -1 (log f))) (PI))))
(- (* f (- (* 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))))) (* 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))))) (* 4 (/ (+ (log (/ 2 (- (* 1/4 (PI)) (* -1/4 (PI))))) (* -1 (log f))) (PI))))
(* -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)))
(* -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)))
(* -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)))
(* -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)))
(* -4 (/ (log (/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI)))))))) (PI)))
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(* -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)))
(* -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)))
(* -1/12 f)
(* -1/12 f)
(* -1/12 f)
(* -1/12 f)
(* -1/12 f)
(* -1/12 f)
(* -1/12 f)
(* -1/12 f)
(* -1/12 f)
(* -1/12 f)
(* -1/12 f)
(* -1/12 f)
(* -1/12 f)
(* -1/12 f)
(* -1/12 f)
(* -1/12 f)
(* -1/12 f)
(* -1/12 f)
(* -1/12 f)
(* -1/12 f)
(* -1/12 f)
(* -1/12 f)
(* -1/12 f)
(* -1/12 f)
(* 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)))
(* -1/12 (* (pow f 2) (PI)))
(* -1/12 (* (pow f 2) (PI)))
(* -1/12 (* (pow f 2) (PI)))
(* -1/12 (* (pow f 2) (PI)))
(* -1/12 (* (pow f 2) (PI)))
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(* -1/12 (* (pow f 2) (PI)))
(* -1/12 (* (pow f 2) (PI)))
(* -1/12 (* (pow f 2) (PI)))
(* -1/12 (* (pow f 2) (PI)))
(* -1/12 (* (pow f 2) (PI)))
(* -1/12 (* (pow f 2) (PI)))
Outputs
(* 4 (/ (+ (log f) (log (* 1/4 (PI)))) (PI)))
(*.f64 (+.f64 (log.f64 f) (log.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)))) (/.f64 #s(literal 4 binary64) (PI.f64)))
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(* -1/12 (* (pow f 2) (PI)))
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(* (pow f 2) (+ (* -1/12 (PI)) (* 4 (/ (+ (log (* -1/4 (PI))) (* -1 (log (/ -1 f)))) (* (pow f 2) (PI))))))
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(*.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 f (PI.f64)))) (exp.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64))))) (-.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 #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 #s(literal -1/4 binary64) (*.f64 f (PI.f64)))) (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 #s(literal -1/4 binary64) (*.f64 f (PI.f64))))))) (/.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)))
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(* -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 #s(literal -1/4 binary64) (*.f64 f (PI.f64)))) (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 #s(literal -1/4 binary64) (*.f64 f (PI.f64))))))) (/.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)))
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(* -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 #s(literal -1/4 binary64) (*.f64 f (PI.f64)))) (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 #s(literal -1/4 binary64) (*.f64 f (PI.f64))))))) (/.f64 #s(literal -4 binary64) (PI.f64)))
(* -1/12 f)
(*.f64 f #s(literal -1/12 binary64))
(* -1/12 f)
(*.f64 f #s(literal -1/12 binary64))
(* -1/12 f)
(*.f64 f #s(literal -1/12 binary64))
(* -1/12 f)
(*.f64 f #s(literal -1/12 binary64))
(* -1/12 f)
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(* -1/12 f)
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(* -1/12 f)
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(* -1/12 f)
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(* -1/12 f)
(*.f64 f #s(literal -1/12 binary64))
(* -1/12 f)
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(* -1/12 f)
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(* -1/12 f)
(*.f64 f #s(literal -1/12 binary64))
(* -1/12 f)
(*.f64 f #s(literal -1/12 binary64))
(* -1/12 f)
(*.f64 f #s(literal -1/12 binary64))
(* -1/12 f)
(*.f64 f #s(literal -1/12 binary64))
(* -1/12 f)
(*.f64 f #s(literal -1/12 binary64))
(* -1/12 f)
(*.f64 f #s(literal -1/12 binary64))
(* -1/12 f)
(*.f64 f #s(literal -1/12 binary64))
(* -1/12 f)
(*.f64 f #s(literal -1/12 binary64))
(* -1/12 f)
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(* -1/12 f)
(*.f64 f #s(literal -1/12 binary64))
(* -1/12 f)
(*.f64 f #s(literal -1/12 binary64))
(* -1/12 f)
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(* -1/12 f)
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(* 1/4 (* f (PI)))
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(* 1/4 (* f (PI)))
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(* 1/4 (* f (PI)))
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(* 1/4 (* f (PI)))
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(*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))
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(*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))
(* 1/4 (* f (PI)))
(*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))
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(*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))
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(* 1/4 (* f (PI)))
(*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))
(* 1/4 (* f (PI)))
(*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))
(* -1/12 (* (pow f 2) (PI)))
(*.f64 #s(literal -1/12 binary64) (*.f64 (PI.f64) (*.f64 f f)))
(* -1/12 (* (pow f 2) (PI)))
(*.f64 #s(literal -1/12 binary64) (*.f64 (PI.f64) (*.f64 f f)))
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(*.f64 #s(literal -1/12 binary64) (*.f64 (PI.f64) (*.f64 f f)))
(* -1/12 (* (pow f 2) (PI)))
(*.f64 #s(literal -1/12 binary64) (*.f64 (PI.f64) (*.f64 f f)))
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(*.f64 #s(literal -1/12 binary64) (*.f64 (PI.f64) (*.f64 f f)))
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(*.f64 #s(literal -1/12 binary64) (*.f64 (PI.f64) (*.f64 f f)))
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(*.f64 #s(literal -1/12 binary64) (*.f64 (PI.f64) (*.f64 f f)))
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(*.f64 #s(literal -1/12 binary64) (*.f64 (PI.f64) (*.f64 f f)))
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(*.f64 #s(literal -1/12 binary64) (*.f64 (PI.f64) (*.f64 f f)))
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(*.f64 #s(literal -1/12 binary64) (*.f64 (PI.f64) (*.f64 f f)))
(* -1/12 (* (pow f 2) (PI)))
(*.f64 #s(literal -1/12 binary64) (*.f64 (PI.f64) (*.f64 f f)))
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(*.f64 #s(literal -1/12 binary64) (*.f64 (PI.f64) (*.f64 f f)))

rewrite514.0ms (2.5%)

Memory
-24.5MiB live, 325.5MiB allocated
Algorithm
batch-egg-rewrite
Rules
4 544×lower-*.f32
4 504×lower-*.f64
3 556×lower-fma.f32
3 554×lower-fma.f64
2 764×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
091690
0131578
1438417
23299417
08180408
Stop Event
iter limit
node limit
iter limit
Counts
28 → 602
Calls
Call 1
Inputs
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(*.f64 (*.f64 (PI.f64) f) #s(literal -1 binary64))
(-.f64 (*.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/12 binary64)) (*.f64 (*.f64 (PI.f64) f) #s(literal -1 binary64))) f) (*.f64 #s(literal -4 binary64) (log.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))))
(*.f64 (*.f64 (PI.f64) #s(literal 1/12 binary64)) (*.f64 (*.f64 (PI.f64) f) #s(literal -1 binary64)))
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(*.f64 f (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64)))) #s(literal -1/12 binary64)))
(fma.f64 (/.f64 #s(literal -4 binary64) (PI.f64)) (neg.f64 (log.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))) #s(approx (/ (* (* f (* (PI) 1/12)) (* (PI) (* 1/2 f))) (* (PI) -1/2)) (*.f64 (*.f64 (PI.f64) (*.f64 f f)) #s(literal -1/12 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)))))))) (fma.f64 (/.f64 #s(literal -4 binary64) (PI.f64)) (neg.f64 (log.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))) #s(approx (/ (* (* f (* (PI) 1/12)) (* (PI) (* 1/2 f))) (* (PI) -1/2)) (*.f64 (*.f64 (PI.f64) (*.f64 f f)) #s(literal -1/12 binary64)))))
(/.f64 #s(literal -4 binary64) (PI.f64))
(PI.f64)
#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 (*.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/12 binary64)) (*.f64 (*.f64 (PI.f64) f) #s(literal -1 binary64))) f) (*.f64 #s(literal -4 binary64) (log.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))))) (PI.f64)))
(*.f64 (PI.f64) #s(literal 1/12 binary64))
(*.f64 f #s(literal -1/12 binary64))
(*.f64 #s(literal -1/12 binary64) f)
(sqrt.f64 (PI.f64))
(*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64))))
(*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))
(*.f64 (*.f64 (PI.f64) (*.f64 f f)) #s(literal -1/12 binary64))
Outputs
(+.f64 (*.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (log.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal 1/4 binary64)))) (/.f64 (*.f64 f (*.f64 (PI.f64) (*.f64 f (*.f64 (PI.f64) #s(literal -1/12 binary64))))) (PI.f64)))
(+.f64 (/.f64 (*.f64 f (*.f64 (PI.f64) (*.f64 f (*.f64 (PI.f64) #s(literal -1/12 binary64))))) (PI.f64)) (*.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (log.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal 1/4 binary64)))))
(exp.f64 (*.f64 (log.f64 (/.f64 (PI.f64) (fma.f64 (log.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal 1/4 binary64))) #s(literal 4 binary64) (*.f64 f (*.f64 (PI.f64) (*.f64 f (*.f64 (PI.f64) #s(literal -1/12 binary64)))))))) #s(literal -1 binary64)))
(-.f64 (/.f64 (*.f64 f (*.f64 (PI.f64) (*.f64 f (*.f64 (PI.f64) #s(literal -1/12 binary64))))) (PI.f64)) (*.f64 (log.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal 1/4 binary64))) (/.f64 #s(literal -4 binary64) (PI.f64))))
(-.f64 (/.f64 (pow.f64 (*.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (log.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal 1/4 binary64)))) #s(literal 2 binary64)) (/.f64 (-.f64 (*.f64 (log.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal 1/4 binary64))) #s(literal 4 binary64)) (*.f64 f (*.f64 (PI.f64) (*.f64 f (*.f64 (PI.f64) #s(literal -1/12 binary64)))))) (PI.f64))) (/.f64 (*.f64 (/.f64 (*.f64 f (*.f64 (PI.f64) (*.f64 f (*.f64 (PI.f64) #s(literal -1/12 binary64))))) (PI.f64)) (/.f64 (*.f64 f (*.f64 (PI.f64) (*.f64 f (*.f64 (PI.f64) #s(literal -1/12 binary64))))) (PI.f64))) (/.f64 (-.f64 (*.f64 (log.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal 1/4 binary64))) #s(literal 4 binary64)) (*.f64 f (*.f64 (PI.f64) (*.f64 f (*.f64 (PI.f64) #s(literal -1/12 binary64)))))) (PI.f64))))
(fma.f64 (*.f64 #s(literal 1/12 binary64) (PI.f64)) (/.f64 (*.f64 (*.f64 f (PI.f64)) (neg.f64 f)) (PI.f64)) (*.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (log.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal 1/4 binary64)))))
(fma.f64 (*.f64 #s(literal 1/12 binary64) (PI.f64)) (*.f64 f (/.f64 (neg.f64 (*.f64 f (PI.f64))) (PI.f64))) (*.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (log.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal 1/4 binary64)))))
(fma.f64 f (/.f64 (*.f64 (PI.f64) (*.f64 f (*.f64 (PI.f64) #s(literal -1/12 binary64)))) (PI.f64)) (*.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (log.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal 1/4 binary64)))))
(fma.f64 (*.f64 f (PI.f64)) (*.f64 #s(literal 1/12 binary64) (/.f64 (neg.f64 (*.f64 f (PI.f64))) (PI.f64))) (*.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (log.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal 1/4 binary64)))))
(fma.f64 #s(literal -1 binary64) (*.f64 (log.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal 1/4 binary64))) (/.f64 #s(literal -4 binary64) (PI.f64))) (/.f64 (*.f64 f (*.f64 (PI.f64) (*.f64 f (*.f64 (PI.f64) #s(literal -1/12 binary64))))) (PI.f64)))
(fma.f64 (neg.f64 (*.f64 f (PI.f64))) (/.f64 (*.f64 #s(literal 1/12 binary64) (*.f64 f (PI.f64))) (PI.f64)) (*.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (log.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal 1/4 binary64)))))
(fma.f64 (*.f64 (PI.f64) (*.f64 f (*.f64 (PI.f64) #s(literal -1/12 binary64)))) (/.f64 f (PI.f64)) (*.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (log.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal 1/4 binary64)))))
(fma.f64 (*.f64 f (*.f64 (PI.f64) (*.f64 f (*.f64 (PI.f64) #s(literal -1/12 binary64))))) (/.f64 #s(literal 1 binary64) (PI.f64)) (*.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (log.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal 1/4 binary64)))))
(fma.f64 #s(literal -4 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) (neg.f64 (log.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal 1/4 binary64))))) (/.f64 (*.f64 f (*.f64 (PI.f64) (*.f64 f (*.f64 (PI.f64) #s(literal -1/12 binary64))))) (PI.f64)))
(fma.f64 #s(literal -4 binary64) (/.f64 (neg.f64 (log.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal 1/4 binary64)))) (PI.f64)) (/.f64 (*.f64 f (*.f64 (PI.f64) (*.f64 f (*.f64 (PI.f64) #s(literal -1/12 binary64))))) (PI.f64)))
(fma.f64 #s(literal 1 binary64) (/.f64 (*.f64 f (*.f64 (PI.f64) (*.f64 f (*.f64 (PI.f64) #s(literal -1/12 binary64))))) (PI.f64)) (*.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (log.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal 1/4 binary64)))))
(fma.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (log.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal 1/4 binary64))) (/.f64 (*.f64 f (*.f64 (PI.f64) (*.f64 f (*.f64 (PI.f64) #s(literal -1/12 binary64))))) (PI.f64)))
(fma.f64 (neg.f64 (log.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal 1/4 binary64)))) (/.f64 #s(literal -4 binary64) (PI.f64)) (/.f64 (*.f64 f (*.f64 (PI.f64) (*.f64 f (*.f64 (PI.f64) #s(literal -1/12 binary64))))) (PI.f64)))
(fma.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal 1/2 binary64)) (*.f64 (/.f64 (*.f64 #s(literal 1/12 binary64) (PI.f64)) (*.f64 (PI.f64) #s(literal -1/2 binary64))) f) (*.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (log.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal 1/4 binary64)))))
(fma.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal 1/2 binary64)) (*.f64 (*.f64 #s(literal 1/12 binary64) (*.f64 f (PI.f64))) (/.f64 #s(literal -2 binary64) (PI.f64))) (*.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (log.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal 1/4 binary64)))))
(fma.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal 1/2 binary64)) (/.f64 (*.f64 #s(literal 1/12 binary64) (*.f64 f (PI.f64))) (*.f64 (PI.f64) #s(literal -1/2 binary64))) (*.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (log.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal 1/4 binary64)))))
(fma.f64 #s(literal -2 binary64) (*.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal 1/2 binary64)) (/.f64 (*.f64 #s(literal 1/12 binary64) (*.f64 f (PI.f64))) (PI.f64))) (*.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (log.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal 1/4 binary64)))))
(fma.f64 (*.f64 #s(literal 1/12 binary64) (*.f64 (PI.f64) (*.f64 (*.f64 f (PI.f64)) #s(literal 1/2 binary64)))) (*.f64 (/.f64 #s(literal -2 binary64) (PI.f64)) f) (*.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (log.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal 1/4 binary64)))))
(fma.f64 (/.f64 #s(literal -2 binary64) (PI.f64)) (*.f64 (*.f64 #s(literal 1/12 binary64) (PI.f64)) (*.f64 f (*.f64 (*.f64 f (PI.f64)) #s(literal 1/2 binary64)))) (*.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (log.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal 1/4 binary64)))))
(fma.f64 (/.f64 #s(literal -2 binary64) (PI.f64)) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 1/12 binary64) (PI.f64)) (*.f64 f (*.f64 (*.f64 f (PI.f64)) #s(literal 1/2 binary64))))) #s(literal -1 binary64)) (*.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (log.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal 1/4 binary64)))))
(fma.f64 (/.f64 (*.f64 (PI.f64) (*.f64 f (*.f64 (PI.f64) #s(literal -1/12 binary64)))) (PI.f64)) f (*.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (log.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal 1/4 binary64)))))
(fma.f64 (/.f64 #s(literal -4 binary64) (PI.f64)) (neg.f64 (log.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal 1/4 binary64)))) (/.f64 (*.f64 f (*.f64 (PI.f64) (*.f64 f (*.f64 (PI.f64) #s(literal -1/12 binary64))))) (PI.f64)))
(fma.f64 (*.f64 #s(literal 1/12 binary64) (*.f64 f (PI.f64))) (/.f64 (neg.f64 (*.f64 f (PI.f64))) (PI.f64)) (*.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (log.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal 1/4 binary64)))))
(fma.f64 (*.f64 (*.f64 #s(literal 1/12 binary64) (PI.f64)) (*.f64 f (*.f64 (*.f64 f (PI.f64)) #s(literal 1/2 binary64)))) (/.f64 #s(literal -2 binary64) (PI.f64)) (*.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (log.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal 1/4 binary64)))))
(fma.f64 (*.f64 (*.f64 #s(literal 1/12 binary64) (*.f64 f (PI.f64))) (neg.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal 1/2 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 (PI.f64) #s(literal 1/2 binary64))) (*.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (log.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal 1/4 binary64)))))
(fma.f64 (/.f64 (*.f64 #s(literal 1/12 binary64) (*.f64 f (PI.f64))) (PI.f64)) (neg.f64 (*.f64 f (PI.f64))) (*.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (log.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal 1/4 binary64)))))
(fma.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) (pow.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 #s(literal 1/12 binary64) (PI.f64)) (*.f64 f (*.f64 (*.f64 f (PI.f64)) #s(literal 1/2 binary64))))) #s(literal -1 binary64)) (*.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (log.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal 1/4 binary64)))))
(fma.f64 (*.f64 (log.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal 1/4 binary64))) #s(literal 4 binary64)) (/.f64 #s(literal 1 binary64) (PI.f64)) (/.f64 (*.f64 f (*.f64 (PI.f64) (*.f64 f (*.f64 (PI.f64) #s(literal -1/12 binary64))))) (PI.f64)))
(fma.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/12 binary64) (*.f64 f (PI.f64)))) (*.f64 (*.f64 f #s(literal 1/2 binary64)) (/.f64 #s(literal -2 binary64) (PI.f64))) (*.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (log.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal 1/4 binary64)))))
(fma.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/12 binary64) (*.f64 f (PI.f64)))) (/.f64 (*.f64 f #s(literal 1/2 binary64)) (*.f64 (PI.f64) #s(literal -1/2 binary64))) (*.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (log.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal 1/4 binary64)))))
(fma.f64 (*.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal 1/2 binary64)) (/.f64 (*.f64 #s(literal 1/12 binary64) (*.f64 f (PI.f64))) (PI.f64))) #s(literal -2 binary64) (*.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (log.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal 1/4 binary64)))))
(fma.f64 (/.f64 (neg.f64 (*.f64 f (PI.f64))) (PI.f64)) (*.f64 #s(literal 1/12 binary64) (*.f64 f (PI.f64))) (*.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (log.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal 1/4 binary64)))))
(fma.f64 (/.f64 f (PI.f64)) (/.f64 (*.f64 #s(literal 1/12 binary64) (*.f64 (PI.f64) (*.f64 (*.f64 f (PI.f64)) #s(literal 1/2 binary64)))) #s(literal -1/2 binary64)) (*.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (log.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal 1/4 binary64)))))
(fma.f64 (/.f64 f #s(literal -1/2 binary64)) (/.f64 (*.f64 #s(literal 1/12 binary64) (*.f64 (PI.f64) (*.f64 (*.f64 f (PI.f64)) #s(literal 1/2 binary64)))) (PI.f64)) (*.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (log.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal 1/4 binary64)))))
(fma.f64 (/.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal 1/2 binary64)) (PI.f64)) (/.f64 (*.f64 #s(literal 1/12 binary64) (*.f64 f (PI.f64))) #s(literal -1/2 binary64)) (*.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (log.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal 1/4 binary64)))))
(fma.f64 (/.f64 (*.f64 #s(literal 1/12 binary64) (*.f64 f (PI.f64))) #s(literal -1/2 binary64)) (/.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal 1/2 binary64)) (PI.f64)) (*.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (log.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal 1/4 binary64)))))
(fma.f64 (/.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/12 binary64) (*.f64 f (PI.f64)))) (PI.f64)) (/.f64 (*.f64 f #s(literal 1/2 binary64)) #s(literal -1/2 binary64)) (*.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (log.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal 1/4 binary64)))))
(fma.f64 (/.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/12 binary64) (*.f64 f (PI.f64)))) #s(literal -1/2 binary64)) (/.f64 (*.f64 f #s(literal 1/2 binary64)) (PI.f64)) (*.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (log.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal 1/4 binary64)))))
(fma.f64 (/.f64 (*.f64 #s(literal 1/12 binary64) (PI.f64)) #s(literal 1 binary64)) (/.f64 (*.f64 (*.f64 f (PI.f64)) (neg.f64 f)) (PI.f64)) (*.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (log.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal 1/4 binary64)))))
(fma.f64 (/.f64 (*.f64 #s(literal 1/12 binary64) (PI.f64)) (sqrt.f64 (PI.f64))) (/.f64 (*.f64 (*.f64 f (PI.f64)) (neg.f64 f)) (sqrt.f64 (PI.f64))) (*.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (log.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal 1/4 binary64)))))
(fma.f64 (/.f64 f (sqrt.f64 (PI.f64))) (/.f64 (*.f64 (PI.f64) (*.f64 f (*.f64 (PI.f64) #s(literal -1/12 binary64)))) (sqrt.f64 (PI.f64))) (*.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (log.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal 1/4 binary64)))))
(fma.f64 (/.f64 (*.f64 #s(literal 1/12 binary64) (PI.f64)) (pow.f64 (PI.f64) #s(literal 2/3 binary64))) (/.f64 (*.f64 (*.f64 f (PI.f64)) (neg.f64 f)) (cbrt.f64 (PI.f64))) (*.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (log.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal 1/4 binary64)))))
(fma.f64 (/.f64 f #s(literal 1 binary64)) (/.f64 (*.f64 (PI.f64) (*.f64 f (*.f64 (PI.f64) #s(literal -1/12 binary64)))) (PI.f64)) (*.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (log.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal 1/4 binary64)))))
(fma.f64 (/.f64 f (pow.f64 (PI.f64) #s(literal 2/3 binary64))) (/.f64 (*.f64 (PI.f64) (*.f64 f (*.f64 (PI.f64) #s(literal -1/12 binary64)))) (cbrt.f64 (PI.f64))) (*.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (log.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal 1/4 binary64)))))
(fma.f64 (/.f64 (*.f64 (PI.f64) (*.f64 f (*.f64 (PI.f64) #s(literal -1/12 binary64)))) (sqrt.f64 (PI.f64))) (/.f64 f (sqrt.f64 (PI.f64))) (*.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (log.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal 1/4 binary64)))))
(fma.f64 (/.f64 (*.f64 (PI.f64) (*.f64 f (*.f64 (PI.f64) #s(literal -1/12 binary64)))) #s(literal 1 binary64)) (/.f64 f (PI.f64)) (*.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (log.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal 1/4 binary64)))))
(fma.f64 (/.f64 (*.f64 (PI.f64) (*.f64 f (*.f64 (PI.f64) #s(literal -1/12 binary64)))) (pow.f64 (PI.f64) #s(literal 2/3 binary64))) (/.f64 f (cbrt.f64 (PI.f64))) (*.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (log.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal 1/4 binary64)))))
(fma.f64 (/.f64 (neg.f64 (log.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal 1/4 binary64)))) #s(literal 1 binary64)) (/.f64 #s(literal -4 binary64) (PI.f64)) (/.f64 (*.f64 f (*.f64 (PI.f64) (*.f64 f (*.f64 (PI.f64) #s(literal -1/12 binary64))))) (PI.f64)))
(fma.f64 (/.f64 (neg.f64 (log.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal 1/4 binary64)))) (sqrt.f64 (PI.f64))) (/.f64 #s(literal -4 binary64) (sqrt.f64 (PI.f64))) (/.f64 (*.f64 f (*.f64 (PI.f64) (*.f64 f (*.f64 (PI.f64) #s(literal -1/12 binary64))))) (PI.f64)))
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eval439.0ms (2.1%)

Memory
-20.7MiB live, 292.6MiB allocated
Compiler

Compiled 37 043 to 4 112 computations (88.9% saved)

prune401.0ms (1.9%)

Memory
22.3MiB live, 376.5MiB allocated
Pruning

25 alts after pruning (21 fresh and 4 done)

PrunedKeptTotal
New1 46491 473
Fresh21214
Picked235
Done011
Total1 468251 493
Accuracy
100.0%
Counts
1 493 → 25
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.5%
(/.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (*.f64 (PI.f64) #s(literal 1/4 binary64)))
95.8%
(/.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)))
96.4%
(/.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)))
96.3%
(/.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)))))))
94.9%
(*.f64 (/.f64 #s(literal -4 binary64) (*.f64 (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 -1 binary64) (*.f64 f (*.f64 (PI.f64) #s(literal -1/4 binary64)))))))
96.2%
(*.f64 (/.f64 #s(literal -4 binary64) (sqrt.f64 (PI.f64))) (/.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 #s(literal 1 binary64) (*.f64 (PI.f64) f))))) (sqrt.f64 (PI.f64))))
96.3%
(*.f64 (/.f64 #s(literal -4 binary64) (PI.f64)) (log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) #s(approx (/ -1 (* f (* (PI) -1/4))) (/.f64 #s(literal 4 binary64) (*.f64 f (PI.f64)))))))
96.7%
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (fma.f64 f (*.f64 f (fma.f64 (*.f64 (PI.f64) #s(literal 1/48 binary64)) #s(literal -2 binary64) (*.f64 (PI.f64) #s(literal 1/8 binary64)))) (/.f64 #s(literal 4 binary64) (PI.f64))) f)))))
96.7%
#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)))))))) (fma.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (log.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal 1/4 binary64))) #s(approx (/ (* (* f (* (PI) 1/12)) (* (PI) (* 1/2 f))) (* (PI) -1/2)) (*.f64 f (*.f64 f (*.f64 (PI.f64) #s(literal -1/12 binary64)))))))
96.8%
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (/.f64 (fma.f64 (*.f64 (PI.f64) (*.f64 f (*.f64 (PI.f64) #s(literal -1/12 binary64)))) f (*.f64 (log.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal 1/4 binary64))) #s(literal 4 binary64))) (PI.f64)))
96.7%
#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 (*.f64 (*.f64 f (*.f64 (PI.f64) (*.f64 f (*.f64 (PI.f64) #s(literal -1/12 binary64))))) (PI.f64)) (*.f64 (PI.f64) (*.f64 #s(literal -4 binary64) (log.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal 1/4 binary64)))))) (*.f64 (PI.f64) (PI.f64))))
4.1%
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (/.f64 #s(approx (- (* (* (* (PI) 1/12) (* (* (PI) f) -1)) f) (* -4 (log (* (PI) (* 1/4 f))))) (*.f64 (PI.f64) (*.f64 #s(literal -1/12 binary64) (*.f64 (PI.f64) (*.f64 f f))))) (PI.f64)))
4.1%
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) #s(approx (/ (- (* (* (* (PI) 1/12) (* (* (PI) f) -1)) f) (* -4 (log (* (PI) (* 1/4 f))))) (PI)) (*.f64 #s(literal -1/12 binary64) (*.f64 (PI.f64) (*.f64 f f)))))
4.1%
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) #s(approx (+ (* (- (neg (log (* 1/4 (PI)))) (log f)) (/ -4 (PI))) (* f (* (* (* f (* (PI) 1/2)) (+ (* (* (PI) 1/48) -2) (* (PI) 1/8))) (/ -2 (PI))))) (*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64)))) f) (*.f64 #s(literal -1/12 binary64) f))))
4.1%
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) #s(approx (+ (* (- (neg (log (* 1/4 (PI)))) (log f)) (/ -4 (PI))) (* f (* (* (* f (* (PI) 1/2)) (+ (* (* (PI) 1/48) -2) (* (PI) 1/8))) (/ -2 (PI))))) (*.f64 (*.f64 (*.f64 f (*.f64 f #s(literal -1/12 binary64))) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)))))
4.1%
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) #s(approx (+ (* (- (neg (log (* 1/4 (PI)))) (log f)) (/ -4 (PI))) (* f (* (* (* f (* (PI) 1/2)) (+ (* (* (PI) 1/48) -2) (* (PI) 1/8))) (/ -2 (PI))))) (*.f64 (*.f64 (*.f64 f (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64))) (*.f64 #s(literal -1/12 binary64) f))))
4.1%
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) #s(approx (+ (* (- (neg (log (* 1/4 (PI)))) (log f)) (/ -4 (PI))) (* f (* (* (* f (* (PI) 1/2)) (+ (* (* (PI) 1/48) -2) (* (PI) 1/8))) (/ -2 (PI))))) (*.f64 (*.f64 (*.f64 f f) #s(literal -1/12 binary64)) (PI.f64))))
4.1%
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) #s(approx (+ (* (- (neg (log (* 1/4 (PI)))) (log f)) (/ -4 (PI))) (* f (* (* (* f (* (PI) 1/2)) (+ (* (* (PI) 1/48) -2) (* (PI) 1/8))) (/ -2 (PI))))) (*.f64 (*.f64 (PI.f64) f) (*.f64 #s(literal -1/12 binary64) f))))
4.1%
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) #s(approx (+ (* (- (neg (log (* 1/4 (PI)))) (log f)) (/ -4 (PI))) (* f (* (* (* f (* (PI) 1/2)) (+ (* (* (PI) 1/48) -2) (* (PI) 1/8))) (/ -2 (PI))))) (*.f64 (*.f64 (PI.f64) #s(literal -1/12 binary64)) (*.f64 f f))))
4.1%
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) #s(approx (+ (* (- (neg (log (* 1/4 (PI)))) (log f)) (/ -4 (PI))) (* f (* (* (* f (* (PI) 1/2)) (+ (* (* (PI) 1/48) -2) (* (PI) 1/8))) (/ -2 (PI))))) (*.f64 (*.f64 f (*.f64 (PI.f64) f)) #s(literal -1/12 binary64))))
4.1%
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) #s(approx (+ (* (- (neg (log (* 1/4 (PI)))) (log f)) (/ -4 (PI))) (* f (* (* (* f (* (PI) 1/2)) (+ (* (* (PI) 1/48) -2) (* (PI) 1/8))) (/ -2 (PI))))) (*.f64 (*.f64 f (*.f64 f #s(literal -1/12 binary64))) (PI.f64))))
4.1%
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) #s(approx (+ (* (- (neg (log (* 1/4 (PI)))) (log f)) (/ -4 (PI))) (* f (* (* (* f (* (PI) 1/2)) (+ (* (* (PI) 1/48) -2) (* (PI) 1/8))) (/ -2 (PI))))) (*.f64 (*.f64 #s(literal -1/12 binary64) (*.f64 (PI.f64) f)) f)))
4.1%
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) #s(approx (+ (* (- (neg (log (* 1/4 (PI)))) (log f)) (/ -4 (PI))) (* f (* (* (* f (* (PI) 1/2)) (+ (* (* (PI) 1/48) -2) (* (PI) 1/8))) (/ -2 (PI))))) (*.f64 f (*.f64 (*.f64 f #s(literal -1/12 binary64)) (PI.f64)))))
4.1%
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) #s(approx (+ (* (- (neg (log (* 1/4 (PI)))) (log f)) (/ -4 (PI))) (* f (* (* (* f (* (PI) 1/2)) (+ (* (* (PI) 1/48) -2) (* (PI) 1/8))) (/ -2 (PI))))) (*.f64 f (*.f64 f (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64)))) #s(literal -1/12 binary64))))))
4.1%
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) #s(approx (+ (* (- (neg (log (* 1/4 (PI)))) (log f)) (/ -4 (PI))) (* f (* (* (* f (* (PI) 1/2)) (+ (* (* (PI) 1/48) -2) (* (PI) 1/8))) (/ -2 (PI))))) (*.f64 f (*.f64 f (*.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))) #s(literal -1/12 binary64))))))
Compiler

Compiled 1 249 to 456 computations (63.5% saved)

regimes180.0ms (0.9%)

Memory
-25.6MiB live, 140.4MiB allocated
Counts
49 → 1
Calls
Call 1
Inputs
#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)))))))) #s(approx (+ (* (- (neg (log (* 1/4 (PI)))) (log f)) (/ -4 (PI))) (* f (* (* (* f (* (PI) 1/2)) (+ (* (* (PI) 1/48) -2) (* (PI) 1/8))) (/ -2 (PI))))) (*.f64 f (*.f64 f (*.f64 (PI.f64) #s(literal -1/12 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)))))))) #s(approx (+ (* (- (neg (log (* 1/4 (PI)))) (log f)) (/ -4 (PI))) (* f (* (* (* f (* (PI) 1/2)) (+ (* (* (PI) 1/48) -2) (* (PI) 1/8))) (/ -2 (PI))))) (*.f64 f (*.f64 (*.f64 f #s(literal -1/12 binary64)) (PI.f64)))))
#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)))))))) #s(approx (+ (* (- (neg (log (* 1/4 (PI)))) (log f)) (/ -4 (PI))) (* f (* (* (* f (* (PI) 1/2)) (+ (* (* (PI) 1/48) -2) (* (PI) 1/8))) (/ -2 (PI))))) (*.f64 (*.f64 #s(literal -1/12 binary64) (*.f64 (PI.f64) f)) f)))
#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)))))))) #s(approx (+ (* (- (neg (log (* 1/4 (PI)))) (log f)) (/ -4 (PI))) (* f (* (* (* f (* (PI) 1/2)) (+ (* (* (PI) 1/48) -2) (* (PI) 1/8))) (/ -2 (PI))))) (*.f64 (*.f64 f (*.f64 f #s(literal -1/12 binary64))) (PI.f64))))
#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)))))))) #s(approx (+ (* (- (neg (log (* 1/4 (PI)))) (log f)) (/ -4 (PI))) (* f (* (* (* f (* (PI) 1/2)) (+ (* (* (PI) 1/48) -2) (* (PI) 1/8))) (/ -2 (PI))))) (*.f64 (*.f64 f (*.f64 (PI.f64) f)) #s(literal -1/12 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)))))))) #s(approx (+ (* (- (neg (log (* 1/4 (PI)))) (log f)) (/ -4 (PI))) (* f (* (* (* f (* (PI) 1/2)) (+ (* (* (PI) 1/48) -2) (* (PI) 1/8))) (/ -2 (PI))))) (*.f64 (*.f64 (PI.f64) #s(literal -1/12 binary64)) (*.f64 f f))))
#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)))))))) #s(approx (+ (* (- (neg (log (* 1/4 (PI)))) (log f)) (/ -4 (PI))) (* f (* (* (* f (* (PI) 1/2)) (+ (* (* (PI) 1/48) -2) (* (PI) 1/8))) (/ -2 (PI))))) (*.f64 (*.f64 (PI.f64) f) (*.f64 #s(literal -1/12 binary64) f))))
#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)))))))) #s(approx (+ (* (- (neg (log (* 1/4 (PI)))) (log f)) (/ -4 (PI))) (* f (* (* (* f (* (PI) 1/2)) (+ (* (* (PI) 1/48) -2) (* (PI) 1/8))) (/ -2 (PI))))) (*.f64 (*.f64 (*.f64 f f) #s(literal -1/12 binary64)) (PI.f64))))
#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)))))))) #s(approx (+ (* (/ -4 (PI)) (neg (log (* (PI) (* 1/4 f))))) (/ (* (* f (* (PI) 1/12)) (* (PI) (* 1/2 f))) (* (PI) -1/2))) (*.f64 (*.f64 (PI.f64) (*.f64 f f)) #s(literal -1/12 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)))))))) #s(approx (/ (- (* (* (* (PI) 1/12) (* (* (PI) f) -1)) f) (* -4 (log (* (PI) (* 1/4 f))))) (PI)) (*.f64 #s(literal -1/12 binary64) (*.f64 (PI.f64) (*.f64 f f)))))
#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 #s(approx (- (* (* (* (PI) 1/12) (* (* (PI) f) -1)) f) (* -4 (log (* (PI) (* 1/4 f))))) (*.f64 (PI.f64) (*.f64 #s(literal -1/12 binary64) (*.f64 (PI.f64) (*.f64 f f))))) (PI.f64)))
#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)))))))) #s(approx (+ (* (- (neg (log (* 1/4 (PI)))) (log f)) (/ -4 (PI))) (* f (* (* (* f (* (PI) 1/2)) (+ (* (* (PI) 1/48) -2) (* (PI) 1/8))) (/ -2 (PI))))) (*.f64 f (*.f64 f (*.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))) #s(literal -1/12 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)))))))) #s(approx (+ (* (- (neg (log (* 1/4 (PI)))) (log f)) (/ -4 (PI))) (* f (* (* (* f (* (PI) 1/2)) (+ (* (* (PI) 1/48) -2) (* (PI) 1/8))) (/ -2 (PI))))) (*.f64 (*.f64 (*.f64 f (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64))) (*.f64 #s(literal -1/12 binary64) f))))
#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)))))))) #s(approx (+ (* (- (neg (log (* 1/4 (PI)))) (log f)) (/ -4 (PI))) (* f (* (* (* f (* (PI) 1/2)) (+ (* (* (PI) 1/48) -2) (* (PI) 1/8))) (/ -2 (PI))))) (*.f64 (*.f64 (*.f64 f (*.f64 f #s(literal -1/12 binary64))) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)))))
#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)))))))) #s(approx (+ (* (- (neg (log (* 1/4 (PI)))) (log f)) (/ -4 (PI))) (* f (* (* (* f (* (PI) 1/2)) (+ (* (* (PI) 1/48) -2) (* (PI) 1/8))) (/ -2 (PI))))) (*.f64 f (*.f64 f (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64)))) #s(literal -1/12 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)))))))) #s(approx (+ (* (- (neg (log (* 1/4 (PI)))) (log f)) (/ -4 (PI))) (* f (* (* (* f (* (PI) 1/2)) (+ (* (* (PI) 1/48) -2) (* (PI) 1/8))) (/ -2 (PI))))) (*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64)))) f) (*.f64 #s(literal -1/12 binary64) 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)))
(*.f64 (/.f64 #s(literal -4 binary64) (PI.f64)) (log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) #s(approx (/ -1 (* f (* (PI) -1/4))) (/.f64 #s(literal 4 binary64) (*.f64 f (PI.f64)))))))
(*.f64 (/.f64 #s(literal -4 binary64) (PI.f64)) (log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 #s(literal -1 binary64) (*.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)))))))
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (fma.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (log.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal 1/4 binary64))) #s(approx (/ (* (* f (* (PI) 1/12)) (* (PI) (* 1/2 f))) (* (PI) -1/2)) (*.f64 f (*.f64 f (*.f64 (PI.f64) #s(literal -1/12 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)))))))) (fma.f64 (/.f64 #s(literal -4 binary64) (PI.f64)) (neg.f64 (log.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))) #s(approx (/ (* (* f (* (PI) 1/12)) (* (PI) (* 1/2 f))) (* (PI) -1/2)) (*.f64 (*.f64 (PI.f64) (*.f64 f f)) #s(literal -1/12 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 (fma.f64 (*.f64 (PI.f64) (*.f64 f (*.f64 (PI.f64) #s(literal -1/12 binary64)))) f (*.f64 (log.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal 1/4 binary64))) #s(literal 4 binary64))) (PI.f64)))
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 #s(literal 2 binary64) (*.f64 f (*.f64 (PI.f64) #s(literal 1/2 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 (*.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/12 binary64)) (*.f64 (*.f64 (PI.f64) f) #s(literal -1 binary64))) f) (*.f64 #s(literal -4 binary64) (log.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))))) (PI.f64)))
(*.f64 (/.f64 #s(literal -4 binary64) (*.f64 (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 -1 binary64) (*.f64 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 (*.f64 (*.f64 f (*.f64 (PI.f64) (*.f64 f (*.f64 (PI.f64) #s(literal -1/12 binary64))))) (PI.f64)) (*.f64 (PI.f64) (*.f64 #s(literal -4 binary64) (log.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal 1/4 binary64)))))) (*.f64 (PI.f64) (PI.f64))))
(*.f64 (/.f64 #s(literal -4 binary64) (sqrt.f64 (PI.f64))) (/.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 #s(literal 1 binary64) (*.f64 (PI.f64) f))))) (sqrt.f64 (PI.f64))))
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (fma.f64 (/.f64 #s(literal -4 binary64) (PI.f64)) (neg.f64 (log.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))) (/.f64 (*.f64 (*.f64 f (*.f64 (PI.f64) #s(literal 1/12 binary64))) (*.f64 (PI.f64) (*.f64 #s(literal 1/2 binary64) f))) (*.f64 (PI.f64) #s(literal -1/2 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 (fma.f64 (*.f64 (*.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/2 binary64) f)) (*.f64 (*.f64 (PI.f64) #s(literal 1/12 binary64)) #s(literal -2 binary64))) f) (PI.f64) (*.f64 (PI.f64) (*.f64 (neg.f64 (log.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))) #s(literal -4 binary64)))) (*.f64 (PI.f64) (PI.f64))))
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))) #s(literal 4 binary64))) (log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 #s(literal 2 binary64) (*.f64 f (*.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)))
(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 (PI.f64) #s(literal 1/48 binary64)) #s(literal -2 binary64) (*.f64 (PI.f64) #s(literal 1/8 binary64)))) (/.f64 #s(literal 4 binary64) (PI.f64))) f)))))
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64)))) #s(literal 4 binary64))) (log.f64 #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 (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (fma.f64 (/.f64 (neg.f64 (log.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))) (sqrt.f64 (PI.f64))) (/.f64 #s(literal -4 binary64) (sqrt.f64 (PI.f64))) (/.f64 (*.f64 (*.f64 f (*.f64 (PI.f64) #s(literal 1/12 binary64))) (*.f64 (PI.f64) (*.f64 #s(literal 1/2 binary64) f))) (*.f64 (PI.f64) #s(literal -1/2 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 #s(literal -4 binary64) (-.f64 (neg.f64 (log.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)))) (log.f64 f))) (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 #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(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (fma.f64 (-.f64 (neg.f64 (log.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)))) (log.f64 f)) (/.f64 #s(literal -4 binary64) (PI.f64)) (*.f64 f #s(approx (* (* (* f (* (PI) 1/2)) (+ (* (* (PI) 1/48) -2) (* (PI) 1/8))) (/ -2 (PI))) (*.f64 f (*.f64 (PI.f64) #s(literal -1/12 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))))
(/.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.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)))))))) (fma.f64 (-.f64 (neg.f64 (log.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)))) (log.f64 f)) (/.f64 #s(literal -4 binary64) (PI.f64)) (*.f64 f (*.f64 (*.f64 (*.f64 f (*.f64 (PI.f64) #s(literal 1/2 binary64))) (fma.f64 (*.f64 (PI.f64) #s(literal 1/48 binary64)) #s(literal -2 binary64) (*.f64 (PI.f64) #s(literal 1/8 binary64)))) (/.f64 #s(literal -2 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)) (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))))
(-.f64 (/.f64 (log.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))) (*.f64 (PI.f64) #s(literal -1/4 binary64))) (/.f64 (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 (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)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (*.f64 (PI.f64) #s(literal -1/4 binary64))) (neg.f64 (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)))))
(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 (neg.f64 (pow.f64 (/.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (*.f64 (PI.f64) #s(literal -1/4 binary64))) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (*.f64 (PI.f64) #s(literal -1/4 binary64))) #s(literal 2 binary64)) #s(literal 0 binary64)))
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:

60.0ms
(/.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)))))
58.0ms
(*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)
19.0ms
(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))))))
17.0ms
f
11.0ms
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))))))
Results
AccuracySegmentsBranch
99.5%1f
99.5%1(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))))))
99.5%1(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))))))
99.5%1(log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))))
99.5%1(/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))))
99.5%1(*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)
Compiler

Compiled 144 to 60 computations (58.3% saved)

regimes65.0ms (0.3%)

Memory
9.2MiB live, 127.9MiB allocated
Counts
36 → 1
Calls
Call 1
Inputs
#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)))))))) #s(approx (+ (* (- (neg (log (* 1/4 (PI)))) (log f)) (/ -4 (PI))) (* f (* (* (* f (* (PI) 1/2)) (+ (* (* (PI) 1/48) -2) (* (PI) 1/8))) (/ -2 (PI))))) (*.f64 f (*.f64 f (*.f64 (PI.f64) #s(literal -1/12 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)))))))) #s(approx (+ (* (- (neg (log (* 1/4 (PI)))) (log f)) (/ -4 (PI))) (* f (* (* (* f (* (PI) 1/2)) (+ (* (* (PI) 1/48) -2) (* (PI) 1/8))) (/ -2 (PI))))) (*.f64 f (*.f64 (*.f64 f #s(literal -1/12 binary64)) (PI.f64)))))
#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)))))))) #s(approx (+ (* (- (neg (log (* 1/4 (PI)))) (log f)) (/ -4 (PI))) (* f (* (* (* f (* (PI) 1/2)) (+ (* (* (PI) 1/48) -2) (* (PI) 1/8))) (/ -2 (PI))))) (*.f64 (*.f64 #s(literal -1/12 binary64) (*.f64 (PI.f64) f)) f)))
#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)))))))) #s(approx (+ (* (- (neg (log (* 1/4 (PI)))) (log f)) (/ -4 (PI))) (* f (* (* (* f (* (PI) 1/2)) (+ (* (* (PI) 1/48) -2) (* (PI) 1/8))) (/ -2 (PI))))) (*.f64 (*.f64 f (*.f64 f #s(literal -1/12 binary64))) (PI.f64))))
#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)))))))) #s(approx (+ (* (- (neg (log (* 1/4 (PI)))) (log f)) (/ -4 (PI))) (* f (* (* (* f (* (PI) 1/2)) (+ (* (* (PI) 1/48) -2) (* (PI) 1/8))) (/ -2 (PI))))) (*.f64 (*.f64 f (*.f64 (PI.f64) f)) #s(literal -1/12 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)))))))) #s(approx (+ (* (- (neg (log (* 1/4 (PI)))) (log f)) (/ -4 (PI))) (* f (* (* (* f (* (PI) 1/2)) (+ (* (* (PI) 1/48) -2) (* (PI) 1/8))) (/ -2 (PI))))) (*.f64 (*.f64 (PI.f64) #s(literal -1/12 binary64)) (*.f64 f f))))
#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)))))))) #s(approx (+ (* (- (neg (log (* 1/4 (PI)))) (log f)) (/ -4 (PI))) (* f (* (* (* f (* (PI) 1/2)) (+ (* (* (PI) 1/48) -2) (* (PI) 1/8))) (/ -2 (PI))))) (*.f64 (*.f64 (PI.f64) f) (*.f64 #s(literal -1/12 binary64) f))))
#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)))))))) #s(approx (+ (* (- (neg (log (* 1/4 (PI)))) (log f)) (/ -4 (PI))) (* f (* (* (* f (* (PI) 1/2)) (+ (* (* (PI) 1/48) -2) (* (PI) 1/8))) (/ -2 (PI))))) (*.f64 (*.f64 (*.f64 f f) #s(literal -1/12 binary64)) (PI.f64))))
#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)))))))) #s(approx (+ (* (/ -4 (PI)) (neg (log (* (PI) (* 1/4 f))))) (/ (* (* f (* (PI) 1/12)) (* (PI) (* 1/2 f))) (* (PI) -1/2))) (*.f64 (*.f64 (PI.f64) (*.f64 f f)) #s(literal -1/12 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)))))))) #s(approx (/ (- (* (* (* (PI) 1/12) (* (* (PI) f) -1)) f) (* -4 (log (* (PI) (* 1/4 f))))) (PI)) (*.f64 #s(literal -1/12 binary64) (*.f64 (PI.f64) (*.f64 f f)))))
#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 #s(approx (- (* (* (* (PI) 1/12) (* (* (PI) f) -1)) f) (* -4 (log (* (PI) (* 1/4 f))))) (*.f64 (PI.f64) (*.f64 #s(literal -1/12 binary64) (*.f64 (PI.f64) (*.f64 f f))))) (PI.f64)))
#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)))))))) #s(approx (+ (* (- (neg (log (* 1/4 (PI)))) (log f)) (/ -4 (PI))) (* f (* (* (* f (* (PI) 1/2)) (+ (* (* (PI) 1/48) -2) (* (PI) 1/8))) (/ -2 (PI))))) (*.f64 f (*.f64 f (*.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))) #s(literal -1/12 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)))))))) #s(approx (+ (* (- (neg (log (* 1/4 (PI)))) (log f)) (/ -4 (PI))) (* f (* (* (* f (* (PI) 1/2)) (+ (* (* (PI) 1/48) -2) (* (PI) 1/8))) (/ -2 (PI))))) (*.f64 (*.f64 (*.f64 f (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64))) (*.f64 #s(literal -1/12 binary64) f))))
#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)))))))) #s(approx (+ (* (- (neg (log (* 1/4 (PI)))) (log f)) (/ -4 (PI))) (* f (* (* (* f (* (PI) 1/2)) (+ (* (* (PI) 1/48) -2) (* (PI) 1/8))) (/ -2 (PI))))) (*.f64 (*.f64 (*.f64 f (*.f64 f #s(literal -1/12 binary64))) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)))))
#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)))))))) #s(approx (+ (* (- (neg (log (* 1/4 (PI)))) (log f)) (/ -4 (PI))) (* f (* (* (* f (* (PI) 1/2)) (+ (* (* (PI) 1/48) -2) (* (PI) 1/8))) (/ -2 (PI))))) (*.f64 f (*.f64 f (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64)))) #s(literal -1/12 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)))))))) #s(approx (+ (* (- (neg (log (* 1/4 (PI)))) (log f)) (/ -4 (PI))) (* f (* (* (* f (* (PI) 1/2)) (+ (* (* (PI) 1/48) -2) (* (PI) 1/8))) (/ -2 (PI))))) (*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64)))) f) (*.f64 #s(literal -1/12 binary64) 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)))
(*.f64 (/.f64 #s(literal -4 binary64) (PI.f64)) (log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) #s(approx (/ -1 (* f (* (PI) -1/4))) (/.f64 #s(literal 4 binary64) (*.f64 f (PI.f64)))))))
(*.f64 (/.f64 #s(literal -4 binary64) (PI.f64)) (log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 #s(literal -1 binary64) (*.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)))))))
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (fma.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (log.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal 1/4 binary64))) #s(approx (/ (* (* f (* (PI) 1/12)) (* (PI) (* 1/2 f))) (* (PI) -1/2)) (*.f64 f (*.f64 f (*.f64 (PI.f64) #s(literal -1/12 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)))))))) (fma.f64 (/.f64 #s(literal -4 binary64) (PI.f64)) (neg.f64 (log.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))) #s(approx (/ (* (* f (* (PI) 1/12)) (* (PI) (* 1/2 f))) (* (PI) -1/2)) (*.f64 (*.f64 (PI.f64) (*.f64 f f)) #s(literal -1/12 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 (fma.f64 (*.f64 (PI.f64) (*.f64 f (*.f64 (PI.f64) #s(literal -1/12 binary64)))) f (*.f64 (log.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal 1/4 binary64))) #s(literal 4 binary64))) (PI.f64)))
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 #s(literal 2 binary64) (*.f64 f (*.f64 (PI.f64) #s(literal 1/2 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 (*.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/12 binary64)) (*.f64 (*.f64 (PI.f64) f) #s(literal -1 binary64))) f) (*.f64 #s(literal -4 binary64) (log.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))))) (PI.f64)))
(*.f64 (/.f64 #s(literal -4 binary64) (*.f64 (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 -1 binary64) (*.f64 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 (*.f64 (*.f64 f (*.f64 (PI.f64) (*.f64 f (*.f64 (PI.f64) #s(literal -1/12 binary64))))) (PI.f64)) (*.f64 (PI.f64) (*.f64 #s(literal -4 binary64) (log.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal 1/4 binary64)))))) (*.f64 (PI.f64) (PI.f64))))
(*.f64 (/.f64 #s(literal -4 binary64) (sqrt.f64 (PI.f64))) (/.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 #s(literal 1 binary64) (*.f64 (PI.f64) f))))) (sqrt.f64 (PI.f64))))
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (fma.f64 (/.f64 #s(literal -4 binary64) (PI.f64)) (neg.f64 (log.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))) (/.f64 (*.f64 (*.f64 f (*.f64 (PI.f64) #s(literal 1/12 binary64))) (*.f64 (PI.f64) (*.f64 #s(literal 1/2 binary64) f))) (*.f64 (PI.f64) #s(literal -1/2 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 (fma.f64 (*.f64 (*.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/2 binary64) f)) (*.f64 (*.f64 (PI.f64) #s(literal 1/12 binary64)) #s(literal -2 binary64))) f) (PI.f64) (*.f64 (PI.f64) (*.f64 (neg.f64 (log.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))) #s(literal -4 binary64)))) (*.f64 (PI.f64) (PI.f64))))
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))) #s(literal 4 binary64))) (log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 #s(literal 2 binary64) (*.f64 f (*.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)))
(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 (PI.f64) #s(literal 1/48 binary64)) #s(literal -2 binary64) (*.f64 (PI.f64) #s(literal 1/8 binary64)))) (/.f64 #s(literal 4 binary64) (PI.f64))) f)))))
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64)))) #s(literal 4 binary64))) (log.f64 #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 (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (fma.f64 (/.f64 (neg.f64 (log.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))) (sqrt.f64 (PI.f64))) (/.f64 #s(literal -4 binary64) (sqrt.f64 (PI.f64))) (/.f64 (*.f64 (*.f64 f (*.f64 (PI.f64) #s(literal 1/12 binary64))) (*.f64 (PI.f64) (*.f64 #s(literal 1/2 binary64) f))) (*.f64 (PI.f64) #s(literal -1/2 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 #s(literal -4 binary64) (-.f64 (neg.f64 (log.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)))) (log.f64 f))) (PI.f64)))
Outputs
#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 (fma.f64 (*.f64 (PI.f64) (*.f64 f (*.f64 (PI.f64) #s(literal -1/12 binary64)))) f (*.f64 (log.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal 1/4 binary64))) #s(literal 4 binary64))) (PI.f64)))
Calls

6 calls:

13.0ms
f
11.0ms
(/.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)))))
11.0ms
(*.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)))))))
10.0ms
(*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)
8.0ms
(log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))))
Results
AccuracySegmentsBranch
96.8%1f
96.8%1(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))))))
96.8%1(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))))))
96.8%1(log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))))
96.8%1(/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))))
96.8%1(*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)
Compiler

Compiled 144 to 60 computations (58.3% saved)

regimes41.0ms (0.2%)

Memory
-3.0MiB live, 114.2MiB allocated
Counts
22 → 1
Calls
Call 1
Inputs
#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)))))))) #s(approx (+ (* (- (neg (log (* 1/4 (PI)))) (log f)) (/ -4 (PI))) (* f (* (* (* f (* (PI) 1/2)) (+ (* (* (PI) 1/48) -2) (* (PI) 1/8))) (/ -2 (PI))))) (*.f64 f (*.f64 f (*.f64 (PI.f64) #s(literal -1/12 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)))))))) #s(approx (+ (* (- (neg (log (* 1/4 (PI)))) (log f)) (/ -4 (PI))) (* f (* (* (* f (* (PI) 1/2)) (+ (* (* (PI) 1/48) -2) (* (PI) 1/8))) (/ -2 (PI))))) (*.f64 f (*.f64 (*.f64 f #s(literal -1/12 binary64)) (PI.f64)))))
#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)))))))) #s(approx (+ (* (- (neg (log (* 1/4 (PI)))) (log f)) (/ -4 (PI))) (* f (* (* (* f (* (PI) 1/2)) (+ (* (* (PI) 1/48) -2) (* (PI) 1/8))) (/ -2 (PI))))) (*.f64 (*.f64 #s(literal -1/12 binary64) (*.f64 (PI.f64) f)) f)))
#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)))))))) #s(approx (+ (* (- (neg (log (* 1/4 (PI)))) (log f)) (/ -4 (PI))) (* f (* (* (* f (* (PI) 1/2)) (+ (* (* (PI) 1/48) -2) (* (PI) 1/8))) (/ -2 (PI))))) (*.f64 (*.f64 f (*.f64 f #s(literal -1/12 binary64))) (PI.f64))))
#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)))))))) #s(approx (+ (* (- (neg (log (* 1/4 (PI)))) (log f)) (/ -4 (PI))) (* f (* (* (* f (* (PI) 1/2)) (+ (* (* (PI) 1/48) -2) (* (PI) 1/8))) (/ -2 (PI))))) (*.f64 (*.f64 f (*.f64 (PI.f64) f)) #s(literal -1/12 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)))))))) #s(approx (+ (* (- (neg (log (* 1/4 (PI)))) (log f)) (/ -4 (PI))) (* f (* (* (* f (* (PI) 1/2)) (+ (* (* (PI) 1/48) -2) (* (PI) 1/8))) (/ -2 (PI))))) (*.f64 (*.f64 (PI.f64) #s(literal -1/12 binary64)) (*.f64 f f))))
#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)))))))) #s(approx (+ (* (- (neg (log (* 1/4 (PI)))) (log f)) (/ -4 (PI))) (* f (* (* (* f (* (PI) 1/2)) (+ (* (* (PI) 1/48) -2) (* (PI) 1/8))) (/ -2 (PI))))) (*.f64 (*.f64 (PI.f64) f) (*.f64 #s(literal -1/12 binary64) f))))
#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)))))))) #s(approx (+ (* (- (neg (log (* 1/4 (PI)))) (log f)) (/ -4 (PI))) (* f (* (* (* f (* (PI) 1/2)) (+ (* (* (PI) 1/48) -2) (* (PI) 1/8))) (/ -2 (PI))))) (*.f64 (*.f64 (*.f64 f f) #s(literal -1/12 binary64)) (PI.f64))))
#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)))))))) #s(approx (+ (* (/ -4 (PI)) (neg (log (* (PI) (* 1/4 f))))) (/ (* (* f (* (PI) 1/12)) (* (PI) (* 1/2 f))) (* (PI) -1/2))) (*.f64 (*.f64 (PI.f64) (*.f64 f f)) #s(literal -1/12 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)))))))) #s(approx (/ (- (* (* (* (PI) 1/12) (* (* (PI) f) -1)) f) (* -4 (log (* (PI) (* 1/4 f))))) (PI)) (*.f64 #s(literal -1/12 binary64) (*.f64 (PI.f64) (*.f64 f f)))))
#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 #s(approx (- (* (* (* (PI) 1/12) (* (* (PI) f) -1)) f) (* -4 (log (* (PI) (* 1/4 f))))) (*.f64 (PI.f64) (*.f64 #s(literal -1/12 binary64) (*.f64 (PI.f64) (*.f64 f f))))) (PI.f64)))
#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)))))))) #s(approx (+ (* (- (neg (log (* 1/4 (PI)))) (log f)) (/ -4 (PI))) (* f (* (* (* f (* (PI) 1/2)) (+ (* (* (PI) 1/48) -2) (* (PI) 1/8))) (/ -2 (PI))))) (*.f64 f (*.f64 f (*.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))) #s(literal -1/12 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)))))))) #s(approx (+ (* (- (neg (log (* 1/4 (PI)))) (log f)) (/ -4 (PI))) (* f (* (* (* f (* (PI) 1/2)) (+ (* (* (PI) 1/48) -2) (* (PI) 1/8))) (/ -2 (PI))))) (*.f64 (*.f64 (*.f64 f (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64))) (*.f64 #s(literal -1/12 binary64) f))))
#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)))))))) #s(approx (+ (* (- (neg (log (* 1/4 (PI)))) (log f)) (/ -4 (PI))) (* f (* (* (* f (* (PI) 1/2)) (+ (* (* (PI) 1/48) -2) (* (PI) 1/8))) (/ -2 (PI))))) (*.f64 (*.f64 (*.f64 f (*.f64 f #s(literal -1/12 binary64))) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)))))
#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)))))))) #s(approx (+ (* (- (neg (log (* 1/4 (PI)))) (log f)) (/ -4 (PI))) (* f (* (* (* f (* (PI) 1/2)) (+ (* (* (PI) 1/48) -2) (* (PI) 1/8))) (/ -2 (PI))))) (*.f64 f (*.f64 f (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64)))) #s(literal -1/12 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)))))))) #s(approx (+ (* (- (neg (log (* 1/4 (PI)))) (log f)) (/ -4 (PI))) (* f (* (* (* f (* (PI) 1/2)) (+ (* (* (PI) 1/48) -2) (* (PI) 1/8))) (/ -2 (PI))))) (*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64)))) f) (*.f64 #s(literal -1/12 binary64) 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)))
(*.f64 (/.f64 #s(literal -4 binary64) (PI.f64)) (log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) #s(approx (/ -1 (* f (* (PI) -1/4))) (/.f64 #s(literal 4 binary64) (*.f64 f (PI.f64)))))))
(*.f64 (/.f64 #s(literal -4 binary64) (PI.f64)) (log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 #s(literal -1 binary64) (*.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)))))))
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (fma.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (log.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal 1/4 binary64))) #s(approx (/ (* (* f (* (PI) 1/12)) (* (PI) (* 1/2 f))) (* (PI) -1/2)) (*.f64 f (*.f64 f (*.f64 (PI.f64) #s(literal -1/12 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)))))))) (fma.f64 (/.f64 #s(literal -4 binary64) (PI.f64)) (neg.f64 (log.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))) #s(approx (/ (* (* f (* (PI) 1/12)) (* (PI) (* 1/2 f))) (* (PI) -1/2)) (*.f64 (*.f64 (PI.f64) (*.f64 f f)) #s(literal -1/12 binary64)))))
Outputs
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (fma.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (log.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal 1/4 binary64))) #s(approx (/ (* (* f (* (PI) 1/12)) (* (PI) (* 1/2 f))) (* (PI) -1/2)) (*.f64 f (*.f64 f (*.f64 (PI.f64) #s(literal -1/12 binary64)))))))
Calls

6 calls:

8.0ms
f
7.0ms
(*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)
7.0ms
(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))))))))
6.0ms
(log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))))
6.0ms
(/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))))
Results
AccuracySegmentsBranch
96.7%1f
96.7%1(*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)
96.7%1(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))))))
96.7%1(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))))))
96.7%1(log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))))
96.7%1(/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))))
Compiler

Compiled 144 to 60 computations (58.3% saved)

regimes38.0ms (0.2%)

Memory
8.7MiB live, 88.7MiB allocated
Counts
20 → 1
Calls
Call 1
Inputs
#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)))))))) #s(approx (+ (* (- (neg (log (* 1/4 (PI)))) (log f)) (/ -4 (PI))) (* f (* (* (* f (* (PI) 1/2)) (+ (* (* (PI) 1/48) -2) (* (PI) 1/8))) (/ -2 (PI))))) (*.f64 f (*.f64 f (*.f64 (PI.f64) #s(literal -1/12 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)))))))) #s(approx (+ (* (- (neg (log (* 1/4 (PI)))) (log f)) (/ -4 (PI))) (* f (* (* (* f (* (PI) 1/2)) (+ (* (* (PI) 1/48) -2) (* (PI) 1/8))) (/ -2 (PI))))) (*.f64 f (*.f64 (*.f64 f #s(literal -1/12 binary64)) (PI.f64)))))
#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)))))))) #s(approx (+ (* (- (neg (log (* 1/4 (PI)))) (log f)) (/ -4 (PI))) (* f (* (* (* f (* (PI) 1/2)) (+ (* (* (PI) 1/48) -2) (* (PI) 1/8))) (/ -2 (PI))))) (*.f64 (*.f64 #s(literal -1/12 binary64) (*.f64 (PI.f64) f)) f)))
#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)))))))) #s(approx (+ (* (- (neg (log (* 1/4 (PI)))) (log f)) (/ -4 (PI))) (* f (* (* (* f (* (PI) 1/2)) (+ (* (* (PI) 1/48) -2) (* (PI) 1/8))) (/ -2 (PI))))) (*.f64 (*.f64 f (*.f64 f #s(literal -1/12 binary64))) (PI.f64))))
#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)))))))) #s(approx (+ (* (- (neg (log (* 1/4 (PI)))) (log f)) (/ -4 (PI))) (* f (* (* (* f (* (PI) 1/2)) (+ (* (* (PI) 1/48) -2) (* (PI) 1/8))) (/ -2 (PI))))) (*.f64 (*.f64 f (*.f64 (PI.f64) f)) #s(literal -1/12 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)))))))) #s(approx (+ (* (- (neg (log (* 1/4 (PI)))) (log f)) (/ -4 (PI))) (* f (* (* (* f (* (PI) 1/2)) (+ (* (* (PI) 1/48) -2) (* (PI) 1/8))) (/ -2 (PI))))) (*.f64 (*.f64 (PI.f64) #s(literal -1/12 binary64)) (*.f64 f f))))
#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)))))))) #s(approx (+ (* (- (neg (log (* 1/4 (PI)))) (log f)) (/ -4 (PI))) (* f (* (* (* f (* (PI) 1/2)) (+ (* (* (PI) 1/48) -2) (* (PI) 1/8))) (/ -2 (PI))))) (*.f64 (*.f64 (PI.f64) f) (*.f64 #s(literal -1/12 binary64) f))))
#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)))))))) #s(approx (+ (* (- (neg (log (* 1/4 (PI)))) (log f)) (/ -4 (PI))) (* f (* (* (* f (* (PI) 1/2)) (+ (* (* (PI) 1/48) -2) (* (PI) 1/8))) (/ -2 (PI))))) (*.f64 (*.f64 (*.f64 f f) #s(literal -1/12 binary64)) (PI.f64))))
#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)))))))) #s(approx (+ (* (/ -4 (PI)) (neg (log (* (PI) (* 1/4 f))))) (/ (* (* f (* (PI) 1/12)) (* (PI) (* 1/2 f))) (* (PI) -1/2))) (*.f64 (*.f64 (PI.f64) (*.f64 f f)) #s(literal -1/12 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)))))))) #s(approx (/ (- (* (* (* (PI) 1/12) (* (* (PI) f) -1)) f) (* -4 (log (* (PI) (* 1/4 f))))) (PI)) (*.f64 #s(literal -1/12 binary64) (*.f64 (PI.f64) (*.f64 f f)))))
#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 #s(approx (- (* (* (* (PI) 1/12) (* (* (PI) f) -1)) f) (* -4 (log (* (PI) (* 1/4 f))))) (*.f64 (PI.f64) (*.f64 #s(literal -1/12 binary64) (*.f64 (PI.f64) (*.f64 f f))))) (PI.f64)))
#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)))))))) #s(approx (+ (* (- (neg (log (* 1/4 (PI)))) (log f)) (/ -4 (PI))) (* f (* (* (* f (* (PI) 1/2)) (+ (* (* (PI) 1/48) -2) (* (PI) 1/8))) (/ -2 (PI))))) (*.f64 f (*.f64 f (*.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))) #s(literal -1/12 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)))))))) #s(approx (+ (* (- (neg (log (* 1/4 (PI)))) (log f)) (/ -4 (PI))) (* f (* (* (* f (* (PI) 1/2)) (+ (* (* (PI) 1/48) -2) (* (PI) 1/8))) (/ -2 (PI))))) (*.f64 (*.f64 (*.f64 f (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64))) (*.f64 #s(literal -1/12 binary64) f))))
#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)))))))) #s(approx (+ (* (- (neg (log (* 1/4 (PI)))) (log f)) (/ -4 (PI))) (* f (* (* (* f (* (PI) 1/2)) (+ (* (* (PI) 1/48) -2) (* (PI) 1/8))) (/ -2 (PI))))) (*.f64 (*.f64 (*.f64 f (*.f64 f #s(literal -1/12 binary64))) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)))))
#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)))))))) #s(approx (+ (* (- (neg (log (* 1/4 (PI)))) (log f)) (/ -4 (PI))) (* f (* (* (* f (* (PI) 1/2)) (+ (* (* (PI) 1/48) -2) (* (PI) 1/8))) (/ -2 (PI))))) (*.f64 f (*.f64 f (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64)))) #s(literal -1/12 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)))))))) #s(approx (+ (* (- (neg (log (* 1/4 (PI)))) (log f)) (/ -4 (PI))) (* f (* (* (* f (* (PI) 1/2)) (+ (* (* (PI) 1/48) -2) (* (PI) 1/8))) (/ -2 (PI))))) (*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64)))) f) (*.f64 #s(literal -1/12 binary64) 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)))
(*.f64 (/.f64 #s(literal -4 binary64) (PI.f64)) (log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) #s(approx (/ -1 (* f (* (PI) -1/4))) (/.f64 #s(literal 4 binary64) (*.f64 f (PI.f64)))))))
(*.f64 (/.f64 #s(literal -4 binary64) (PI.f64)) (log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 #s(literal -1 binary64) (*.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)))))))
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:

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)))))
6.0ms
(*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)
6.0ms
f
6.0ms
(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))))))))
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
96.4%1f
96.4%1(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))))))
96.4%1(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))))))
96.4%1(log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))))
96.4%1(/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))))
96.4%1(*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)
Compiler

Compiled 144 to 60 computations (58.3% saved)

regimes31.0ms (0.1%)

Memory
-8.2MiB live, 71.0MiB allocated
Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts
16 → 1
Calls
Call 1
Inputs
#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)))))))) #s(approx (+ (* (- (neg (log (* 1/4 (PI)))) (log f)) (/ -4 (PI))) (* f (* (* (* f (* (PI) 1/2)) (+ (* (* (PI) 1/48) -2) (* (PI) 1/8))) (/ -2 (PI))))) (*.f64 f (*.f64 f (*.f64 (PI.f64) #s(literal -1/12 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)))))))) #s(approx (+ (* (- (neg (log (* 1/4 (PI)))) (log f)) (/ -4 (PI))) (* f (* (* (* f (* (PI) 1/2)) (+ (* (* (PI) 1/48) -2) (* (PI) 1/8))) (/ -2 (PI))))) (*.f64 f (*.f64 (*.f64 f #s(literal -1/12 binary64)) (PI.f64)))))
#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)))))))) #s(approx (+ (* (- (neg (log (* 1/4 (PI)))) (log f)) (/ -4 (PI))) (* f (* (* (* f (* (PI) 1/2)) (+ (* (* (PI) 1/48) -2) (* (PI) 1/8))) (/ -2 (PI))))) (*.f64 (*.f64 #s(literal -1/12 binary64) (*.f64 (PI.f64) f)) f)))
#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)))))))) #s(approx (+ (* (- (neg (log (* 1/4 (PI)))) (log f)) (/ -4 (PI))) (* f (* (* (* f (* (PI) 1/2)) (+ (* (* (PI) 1/48) -2) (* (PI) 1/8))) (/ -2 (PI))))) (*.f64 (*.f64 f (*.f64 f #s(literal -1/12 binary64))) (PI.f64))))
#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)))))))) #s(approx (+ (* (- (neg (log (* 1/4 (PI)))) (log f)) (/ -4 (PI))) (* f (* (* (* f (* (PI) 1/2)) (+ (* (* (PI) 1/48) -2) (* (PI) 1/8))) (/ -2 (PI))))) (*.f64 (*.f64 f (*.f64 (PI.f64) f)) #s(literal -1/12 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)))))))) #s(approx (+ (* (- (neg (log (* 1/4 (PI)))) (log f)) (/ -4 (PI))) (* f (* (* (* f (* (PI) 1/2)) (+ (* (* (PI) 1/48) -2) (* (PI) 1/8))) (/ -2 (PI))))) (*.f64 (*.f64 (PI.f64) #s(literal -1/12 binary64)) (*.f64 f f))))
#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)))))))) #s(approx (+ (* (- (neg (log (* 1/4 (PI)))) (log f)) (/ -4 (PI))) (* f (* (* (* f (* (PI) 1/2)) (+ (* (* (PI) 1/48) -2) (* (PI) 1/8))) (/ -2 (PI))))) (*.f64 (*.f64 (PI.f64) f) (*.f64 #s(literal -1/12 binary64) f))))
#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)))))))) #s(approx (+ (* (- (neg (log (* 1/4 (PI)))) (log f)) (/ -4 (PI))) (* f (* (* (* f (* (PI) 1/2)) (+ (* (* (PI) 1/48) -2) (* (PI) 1/8))) (/ -2 (PI))))) (*.f64 (*.f64 (*.f64 f f) #s(literal -1/12 binary64)) (PI.f64))))
#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)))))))) #s(approx (+ (* (/ -4 (PI)) (neg (log (* (PI) (* 1/4 f))))) (/ (* (* f (* (PI) 1/12)) (* (PI) (* 1/2 f))) (* (PI) -1/2))) (*.f64 (*.f64 (PI.f64) (*.f64 f f)) #s(literal -1/12 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)))))))) #s(approx (/ (- (* (* (* (PI) 1/12) (* (* (PI) f) -1)) f) (* -4 (log (* (PI) (* 1/4 f))))) (PI)) (*.f64 #s(literal -1/12 binary64) (*.f64 (PI.f64) (*.f64 f f)))))
#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 #s(approx (- (* (* (* (PI) 1/12) (* (* (PI) f) -1)) f) (* -4 (log (* (PI) (* 1/4 f))))) (*.f64 (PI.f64) (*.f64 #s(literal -1/12 binary64) (*.f64 (PI.f64) (*.f64 f f))))) (PI.f64)))
#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)))))))) #s(approx (+ (* (- (neg (log (* 1/4 (PI)))) (log f)) (/ -4 (PI))) (* f (* (* (* f (* (PI) 1/2)) (+ (* (* (PI) 1/48) -2) (* (PI) 1/8))) (/ -2 (PI))))) (*.f64 f (*.f64 f (*.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))) #s(literal -1/12 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)))))))) #s(approx (+ (* (- (neg (log (* 1/4 (PI)))) (log f)) (/ -4 (PI))) (* f (* (* (* f (* (PI) 1/2)) (+ (* (* (PI) 1/48) -2) (* (PI) 1/8))) (/ -2 (PI))))) (*.f64 (*.f64 (*.f64 f (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64))) (*.f64 #s(literal -1/12 binary64) f))))
#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)))))))) #s(approx (+ (* (- (neg (log (* 1/4 (PI)))) (log f)) (/ -4 (PI))) (* f (* (* (* f (* (PI) 1/2)) (+ (* (* (PI) 1/48) -2) (* (PI) 1/8))) (/ -2 (PI))))) (*.f64 (*.f64 (*.f64 f (*.f64 f #s(literal -1/12 binary64))) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)))))
#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)))))))) #s(approx (+ (* (- (neg (log (* 1/4 (PI)))) (log f)) (/ -4 (PI))) (* f (* (* (* f (* (PI) 1/2)) (+ (* (* (PI) 1/48) -2) (* (PI) 1/8))) (/ -2 (PI))))) (*.f64 f (*.f64 f (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64)))) #s(literal -1/12 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)))))))) #s(approx (+ (* (- (neg (log (* 1/4 (PI)))) (log f)) (/ -4 (PI))) (* f (* (* (* f (* (PI) 1/2)) (+ (* (* (PI) 1/48) -2) (* (PI) 1/8))) (/ -2 (PI))))) (*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64)))) f) (*.f64 #s(literal -1/12 binary64) f))))
Outputs
#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)))))))) #s(approx (+ (* (- (neg (log (* 1/4 (PI)))) (log f)) (/ -4 (PI))) (* f (* (* (* f (* (PI) 1/2)) (+ (* (* (PI) 1/48) -2) (* (PI) 1/8))) (/ -2 (PI))))) (*.f64 f (*.f64 f (*.f64 (PI.f64) #s(literal -1/12 binary64))))))
Calls

6 calls:

5.0ms
f
5.0ms
(*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)
5.0ms
(/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))))
4.0ms
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))))))
4.0ms
(log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))))
Results
AccuracySegmentsBranch
4.1%1f
4.1%1(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))))))
4.1%1(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))))))
4.1%1(log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))))
4.1%1(/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))))
4.1%1(*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)
Compiler

Compiled 144 to 60 computations (58.3% saved)

simplify7.0ms (0%)

Memory
20.5MiB live, 20.5MiB allocated
Algorithm
egg-herbie
Rules
18×*-commutative_binary64
1-exp_binary64
1-exp_binary32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
081236
193236
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)))
#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 (fma.f64 (*.f64 (PI.f64) (*.f64 f (*.f64 (PI.f64) #s(literal -1/12 binary64)))) f (*.f64 (log.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal 1/4 binary64))) #s(literal 4 binary64))) (PI.f64)))
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (fma.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (log.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal 1/4 binary64))) #s(approx (/ (* (* f (* (PI) 1/12)) (* (PI) (* 1/2 f))) (* (PI) -1/2)) (*.f64 f (*.f64 f (*.f64 (PI.f64) #s(literal -1/12 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)))
#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)))))))) #s(approx (+ (* (- (neg (log (* 1/4 (PI)))) (log f)) (/ -4 (PI))) (* f (* (* (* f (* (PI) 1/2)) (+ (* (* (PI) 1/48) -2) (* (PI) 1/8))) (/ -2 (PI))))) (*.f64 f (*.f64 f (*.f64 (PI.f64) #s(literal -1/12 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)))
#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 (fma.f64 (*.f64 (PI.f64) (*.f64 f (*.f64 (PI.f64) #s(literal -1/12 binary64)))) f (*.f64 (log.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal 1/4 binary64))) #s(literal 4 binary64))) (PI.f64)))
#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 (fma.f64 (*.f64 (PI.f64) (*.f64 f (*.f64 (PI.f64) #s(literal -1/12 binary64)))) f (*.f64 #s(literal 4 binary64) (log.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f))))) (PI.f64)))
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (fma.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (log.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal 1/4 binary64))) #s(approx (/ (* (* f (* (PI) 1/12)) (* (PI) (* 1/2 f))) (* (PI) -1/2)) (*.f64 f (*.f64 f (*.f64 (PI.f64) #s(literal -1/12 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)))))))) (fma.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (log.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f))) #s(approx (/ (* (* f (* (PI) 1/12)) (* (PI) (* 1/2 f))) (* (PI) -1/2)) (*.f64 f (*.f64 f (*.f64 (PI.f64) #s(literal -1/12 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)))
#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)))))))) #s(approx (+ (* (- (neg (log (* 1/4 (PI)))) (log f)) (/ -4 (PI))) (* f (* (* (* f (* (PI) 1/2)) (+ (* (* (PI) 1/48) -2) (* (PI) 1/8))) (/ -2 (PI))))) (*.f64 f (*.f64 f (*.f64 (PI.f64) #s(literal -1/12 binary64))))))

soundness3.5s (16.7%)

Memory
-12.3MiB live, 985.0MiB allocated
Rules
18 550×lower-fma.f64
18 550×lower-fma.f32
11 406×lower-fma.f64
11 406×lower-fma.f32
5 070×lower-*.f32
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
04207268
114056329
264255548
088745361
03305518
110274969
241934595
084354508
057338
095254
1355229
22529229
08608229
016129
02987
111949
278349
0856149
093559
0142386
1474319
23582315
09187315
091690
0131578
1438417
23299417
08180408
01711490
14841364
217481236
370341196
091621178
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
iter limit
node limit
iter limit
iter limit
node limit
iter limit
node limit
Compiler

Compiled 160 to 66 computations (58.8% saved)

preprocess38.0ms (0.2%)

Memory
17.9MiB live, 95.1MiB allocated
Compiler

Compiled 218 to 80 computations (63.3% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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