VandenBroeck and Keller, Equation (20)

Time bar (total: 19.0s)

analyze211.0ms (1.1%)

Memory
15.9MiB live, 277.5MiB allocated
Algorithm
1×search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%100%0%0%0%0%0
0%0%100%0%0%0%0%1
0%0%100%0%0%0%0%2
0%0%75%0%0%25%0%3
0%0%62.5%0%0%37.5%0%4
0%0%56.2%0%0%43.7%0%5
0%0%53.1%0%0%46.9%0%6
3.1%1.6%48.4%0%0%50%0%7
4.8%2.3%46.1%0%0%51.5%0%8
5.6%2.7%45.7%0%0%51.5%0%9
6.5%3.1%45.1%0%0%51.7%0%10
6.9%3.3%44.8%0%0%51.8%0%11
6.9%3.3%44.8%0%0%51.9%0%12
Compiler

Compiled 39 to 18 computations (53.8% saved)

sample5.8s (30.4%)

Memory
133.1MiB live, 6 343.9MiB allocated
Samples
2.2s7 585×1valid
1.9s7 176×1invalid
403.0ms179×2valid
58.0ms492×0valid
1.0ms7×0invalid
1.0ms6×0exit
Precisions
Click to see histograms. Total time spent on operations: 4.0s
ival-exp: 1.2s (29.7% of total)
ival-log: 577.0ms (14.4% of total)
ival-div: 573.0ms (14.3% of total)
ival-mult: 528.0ms (13.2% of total)
adjust: 360.0ms (9% of total)
ival-neg: 281.0ms (7% of total)
ival-add: 157.0ms (3.9% of total)
ival-pi: 156.0ms (3.9% of total)
ival-sub: 150.0ms (3.7% of total)
exact: 23.0ms (0.6% of total)
ival-true: 12.0ms (0.3% of total)
ival-assert: 6.0ms (0.1% of total)
Bogosity

preprocess593.0ms (3.1%)

Memory
0.4MiB live, 503.7MiB allocated
Algorithm
1×egg-herbie
Rules
8 988×lower-fma.f64
8 988×lower-fma.f32
2 264×lower-+.f32
2 262×lower-+.f64
2 004×lower--.f32
Iterations

Useful iterations: 0 (0.0ms)

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

explain398.0ms (2.1%)

Memory
-5.9MiB live, 729.1MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
2500-0-(-.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))))
50-0-(/.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))
05(1021031.1331890073)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))))cancellation2500
/.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/o50
↳(exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))overflow5
↳(+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))overflow5
↳(exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))overflow5
↳(-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))overflow5
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))))))sensitivity50
Confusion
Predicted +Predicted -
+2550
-01
Precision
1.0
Recall
1.0
Confusion?
Predicted +Predicted MaybePredicted -
+25500
-001
Precision?
1.0
Recall?
1.0
Freqs
test
numberfreq
01
1250
25
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
151.0ms478×1valid
9.0ms10×2valid
3.0ms24×0valid
Compiler

Compiled 472 to 68 computations (85.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 129.0ms
ival-exp: 34.0ms (26.3% of total)
adjust: 24.0ms (18.5% of total)
ival-div: 18.0ms (13.9% of total)
ival-log: 14.0ms (10.8% of total)
ival-mult: 11.0ms (8.5% of total)
ival-pi: 9.0ms (7% of total)
ival-neg: 8.0ms (6.2% of total)
ival-sub: 5.0ms (3.9% of total)
ival-add: 4.0ms (3.1% of total)
exact: 1.0ms (0.8% of total)
ival-true: 1.0ms (0.8% of total)
ival-assert: 0.0ms (0% of total)

eval0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated
Compiler

Compiled 1 to 1 computations (0% saved)

prune1.0ms (0%)

Memory
1.9MiB live, 1.9MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶6.4%
(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)

simplify421.0ms (2.2%)

Memory
12.0MiB live, 403.4MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 4 expressions of interest:

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

Useful iterations: 0 (0.0ms)

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

localize171.0ms (0.9%)

Memory
-30.4MiB live, 178.9MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
✓accuracy99.6%
(*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)
✓accuracy99.3%
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))))))
✓accuracy97.6%
(/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (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
109.0ms239×1valid
5.0ms5×2valid
2.0ms12×0valid
Compiler

Compiled 198 to 18 computations (90.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 99.0ms
ival-mult: 32.0ms (32.2% of total)
ival-exp: 17.0ms (17.1% of total)
ival-add: 15.0ms (15.1% of total)
ival-div: 10.0ms (10.1% of total)
ival-neg: 7.0ms (7.1% of total)
ival-log: 7.0ms (7.1% of total)
adjust: 5.0ms (5% of total)
ival-pi: 2.0ms (2% of total)
ival-sub: 2.0ms (2% of total)
ival-assert: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series99.0ms (0.5%)

Memory
37.6MiB live, 109.8MiB allocated
Counts
7 → 60
Calls
Call 1
Inputs
#<alt (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))))>
#<alt (/.f64 (PI.f64) #s(literal 4 binary64))>
#<alt (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64)))>
#<alt (neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))))))>
#<alt (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))>
#<alt (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))))))>
#<alt (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)>
Outputs
#<alt (/ 2 (* f (- (* 1/4 (PI)) (* -1/4 (PI)))))>
#<alt (/ (+ (* f (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))))) (* 2 (/ 1 (- (* 1/4 (PI)) (* -1/4 (PI)))))) f)>
#<alt (/ (+ (* f (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (+ (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* f (- (* 1/16 (/ (pow (PI) 2) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 2 (/ (- (* 1/384 (pow (PI) 3)) (* -1/384 (pow (PI) 3))) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 2)))))))) (* 2 (/ 1 (- (* 1/4 (PI)) (* -1/4 (PI)))))) f)>
#<alt (/ (+ (* f (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (+ (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* f (- (+ (* 1/16 (/ (pow (PI) 2) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* f (- (+ (* -1/384 (/ (pow (PI) 3) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/384 (/ (pow (PI) 3) (- (* 1/4 (PI)) (* -1/4 (PI)))))) (/ (* (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI)))))) (- (* 1/384 (pow (PI) 3)) (* -1/384 (pow (PI) 3)))) (- (* 1/4 (PI)) (* -1/4 (PI))))))) (* 2 (/ (- (* 1/384 (pow (PI) 3)) (* -1/384 (pow (PI) 3))) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 2)))))))) (* 2 (/ 1 (- (* 1/4 (PI)) (* -1/4 (PI)))))) f)>
#<alt (/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI)))))))>
#<alt (/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI)))))))>
#<alt (/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI)))))))>
#<alt (/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI)))))))>
#<alt (/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI)))))))>
#<alt (/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI)))))))>
#<alt (/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI)))))))>
#<alt (/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI)))))))>
#<alt (* -4 (/ (+ (log (/ 2 (- (* 1/4 (PI)) (* -1/4 (PI))))) (* -1 (log f))) (PI)))>
#<alt (- (* -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))))>
#<alt (- (* 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))))>
#<alt (- (* 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))))>
#<alt (* -4 (/ (log (/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI)))))))) (PI)))>
#<alt (* -4 (/ (log (/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI)))))))) (PI)))>
#<alt (* -4 (/ (log (/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI)))))))) (PI)))>
#<alt (* -4 (/ (log (/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI)))))))) (PI)))>
#<alt (* -4 (/ (log (/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI)))))))) (PI)))>
#<alt (* -4 (/ (log (/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI)))))))) (PI)))>
#<alt (* -4 (/ (log (/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI)))))))) (PI)))>
#<alt (* -4 (/ (log (/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI)))))))) (PI)))>
#<alt (* f (- (* 1/4 (PI)) (* -1/4 (PI))))>
#<alt (* f (- (+ (* 1/4 (PI)) (* (pow f 2) (- (* 1/384 (pow (PI) 3)) (* -1/384 (pow (PI) 3))))) (* -1/4 (PI))))>
#<alt (* 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))))>
#<alt (* 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))))>
#<alt (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI))))))>
#<alt (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI))))))>
#<alt (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI))))))>
#<alt (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI))))))>
#<alt (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI))))))>
#<alt (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI))))))>
#<alt (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI))))))>
#<alt (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI))))))>
#<alt (* 4 (/ (+ (log (/ 2 (- (* 1/4 (PI)) (* -1/4 (PI))))) (* -1 (log f))) (PI)))>
#<alt (+ (* 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))))>
#<alt (+ (* 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))))))>
#<alt (+ (* 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))))))))>
#<alt (* 4 (/ (log (/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI)))))))) (PI)))>
#<alt (* 4 (/ (log (/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI)))))))) (PI)))>
#<alt (* 4 (/ (log (/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI)))))))) (PI)))>
#<alt (* 4 (/ (log (/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI)))))))) (PI)))>
#<alt (* 4 (/ (log (/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI)))))))) (PI)))>
#<alt (* 4 (/ (log (/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI)))))))) (PI)))>
#<alt (* 4 (/ (log (/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI)))))))) (PI)))>
#<alt (* 4 (/ (log (/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI)))))))) (PI)))>
#<alt (* 1/4 (* f (PI)))>
#<alt (* 1/4 (* f (PI)))>
#<alt (* 1/4 (* f (PI)))>
#<alt (* 1/4 (* f (PI)))>
#<alt (* 1/4 (* f (PI)))>
#<alt (* 1/4 (* f (PI)))>
#<alt (* 1/4 (* f (PI)))>
#<alt (* 1/4 (* f (PI)))>
#<alt (* 1/4 (* f (PI)))>
#<alt (* 1/4 (* f (PI)))>
#<alt (* 1/4 (* f (PI)))>
#<alt (* 1/4 (* f (PI)))>
Calls

15 calls:

TimeVariablePointExpression
51.0ms
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))))))))
37.0ms
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)))))

rewrite340.0ms (1.8%)

Memory
1.5MiB live, 503.8MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
5 070×lower-*.f32
5 066×lower-*.f64
3 230×lower-fma.f64
3 230×lower-fma.f32
3 206×lower-/.f32
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
016129
02987
111949
278349
0856149
Stop Event
1×iter limit
1×node limit
1×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)))))))
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(*.f64 (neg.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))) (/.f64 #s(literal 4 binary64) (PI.f64)))
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(*.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (/.f64 #s(literal -4 binary64) (PI.f64)))
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(*.f64 (pow.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) #s(literal -1/2 binary64)) (*.f64 (pow.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) #s(literal -1/2 binary64)) (neg.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))))))
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(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64))) (/.f64 (neg.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))) (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/4 binary64))))
(*.f64 (/.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (PI.f64)) #s(literal -4 binary64))
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(*.f64 (/.f64 #s(literal -1 binary64) (PI.f64)) (/.f64 (neg.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))) #s(literal -1/4 binary64)))
(*.f64 (/.f64 (neg.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))) (pow.f64 (PI.f64) #s(literal 2/3 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 (cbrt.f64 (PI.f64)) #s(literal 1/4 binary64))))
(*.f64 (/.f64 (neg.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))) (sqrt.f64 (PI.f64))) (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64))))
(*.f64 (/.f64 (neg.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))) #s(literal -1 binary64)) (/.f64 #s(literal -4 binary64) (PI.f64)))
(*.f64 (*.f64 (neg.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))) (pow.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) #s(literal -1/2 binary64))) (pow.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) #s(literal -1/2 binary64)))
(log.f64 (exp.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))
(+.f64 #s(literal 0 binary64) (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))
(+.f64 (log.f64 (exp.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) (*.f64 f #s(literal 1/2 binary64))))) (log.f64 (exp.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) (*.f64 f #s(literal 1/2 binary64))))))
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(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 4 binary64) (*.f64 (PI.f64) f)) #s(literal 1 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 4 binary64) (*.f64 (PI.f64) f))))
(/.f64 (neg.f64 f) (/.f64 #s(literal -4 binary64) (PI.f64)))
(/.f64 (*.f64 (PI.f64) f) #s(literal 4 binary64))
(/.f64 (*.f64 (PI.f64) (neg.f64 f)) #s(literal -4 binary64))
(/.f64 (neg.f64 (*.f64 (*.f64 (*.f64 (PI.f64) f) (*.f64 (PI.f64) f)) #s(literal 1/16 binary64))) (*.f64 f (*.f64 (PI.f64) #s(literal -1/4 binary64))))
(/.f64 (neg.f64 (*.f64 (PI.f64) (neg.f64 f))) #s(literal 4 binary64))
(/.f64 (+.f64 #s(literal 0 binary64) (*.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f) (*.f64 (*.f64 (*.f64 (PI.f64) f) (*.f64 (PI.f64) f)) #s(literal 1/16 binary64)))) (+.f64 #s(literal 0 binary64) (-.f64 (*.f64 (*.f64 (*.f64 (PI.f64) f) (*.f64 (PI.f64) f)) #s(literal 1/16 binary64)) #s(literal 0 binary64))))
(pow.f64 (/.f64 #s(literal 4 binary64) (*.f64 (PI.f64) f)) #s(literal -1 binary64))
(*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))
(*.f64 (PI.f64) (*.f64 f #s(literal 1/4 binary64)))
(*.f64 (PI.f64) (*.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) f)))
(*.f64 (PI.f64) (*.f64 #s(literal 1 binary64) (*.f64 f #s(literal 1/4 binary64))))
(*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)
(*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) (log.f64 (exp.f64 f)))
(*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) (/.f64 f #s(literal 1 binary64)))
(*.f64 f (*.f64 (PI.f64) #s(literal 1/4 binary64)))
(*.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))
(*.f64 #s(literal -1 binary64) (*.f64 f (*.f64 (PI.f64) #s(literal -1/4 binary64))))
(*.f64 (cbrt.f64 (PI.f64)) (*.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (*.f64 #s(literal 1/4 binary64) f)))
(*.f64 (cbrt.f64 (PI.f64)) (*.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (*.f64 f #s(literal 1/4 binary64))))
(*.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (*.f64 (cbrt.f64 (PI.f64)) (*.f64 #s(literal 1/4 binary64) f)))
(*.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (*.f64 (cbrt.f64 (PI.f64)) (*.f64 f #s(literal 1/4 binary64))))
(*.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (*.f64 (*.f64 (cbrt.f64 (PI.f64)) #s(literal 1/4 binary64)) f))
(*.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (*.f64 (*.f64 (cbrt.f64 (PI.f64)) f) #s(literal 1/4 binary64)))
(*.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) (*.f64 #s(literal 1/4 binary64) f)))
(*.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) (*.f64 f #s(literal 1/4 binary64))))
(*.f64 (sqrt.f64 (PI.f64)) (*.f64 (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/4 binary64)) f))
(*.f64 (sqrt.f64 (PI.f64)) (*.f64 (*.f64 (sqrt.f64 (PI.f64)) f) #s(literal 1/4 binary64)))
(*.f64 (neg.f64 (PI.f64)) (*.f64 #s(literal -1/4 binary64) f))
(*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f))
(*.f64 #s(literal 1/4 binary64) (/.f64 f (/.f64 #s(literal 1 binary64) (PI.f64))))
(*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64))
(*.f64 (*.f64 (PI.f64) (neg.f64 f)) #s(literal -1/4 binary64))
(*.f64 (*.f64 f #s(literal 1/4 binary64)) (PI.f64))
(*.f64 (/.f64 f #s(literal 1 binary64)) (*.f64 (PI.f64) #s(literal 1/4 binary64)))
(*.f64 (/.f64 f #s(literal -1 binary64)) (*.f64 (PI.f64) #s(literal -1/4 binary64)))
(*.f64 (/.f64 f (/.f64 #s(literal 1 binary64) (PI.f64))) #s(literal 1/4 binary64))
(*.f64 (/.f64 f (pow.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) #s(literal -1/2 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) #s(literal -1/2 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) #s(literal -1/2 binary64))) (/.f64 f (pow.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) #s(literal -1/2 binary64))))
(*.f64 (/.f64 f (/.f64 #s(literal -1 binary64) (PI.f64))) #s(literal -1/4 binary64))
(*.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)))

simplify518.0ms (2.7%)

Memory
-7.5MiB live, 964.3MiB allocated
Algorithm
1×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
1×iter limit
1×node limit
Counts
60 → 60
Calls
Call 1
Inputs
(/ 2 (* f (- (* 1/4 (PI)) (* -1/4 (PI)))))
(/ (+ (* f (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))))) (* 2 (/ 1 (- (* 1/4 (PI)) (* -1/4 (PI)))))) f)
(/ (+ (* f (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (+ (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* f (- (* 1/16 (/ (pow (PI) 2) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 2 (/ (- (* 1/384 (pow (PI) 3)) (* -1/384 (pow (PI) 3))) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 2)))))))) (* 2 (/ 1 (- (* 1/4 (PI)) (* -1/4 (PI)))))) f)
(/ (+ (* f (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (+ (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* f (- (+ (* 1/16 (/ (pow (PI) 2) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* f (- (+ (* -1/384 (/ (pow (PI) 3) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/384 (/ (pow (PI) 3) (- (* 1/4 (PI)) (* -1/4 (PI)))))) (/ (* (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI)))))) (- (* 1/384 (pow (PI) 3)) (* -1/384 (pow (PI) 3)))) (- (* 1/4 (PI)) (* -1/4 (PI))))))) (* 2 (/ (- (* 1/384 (pow (PI) 3)) (* -1/384 (pow (PI) 3))) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 2)))))))) (* 2 (/ 1 (- (* 1/4 (PI)) (* -1/4 (PI)))))) f)
(/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI)))))))
(/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI)))))))
(/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI)))))))
(/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI)))))))
(/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI)))))))
(/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI)))))))
(/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI)))))))
(/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI)))))))
(* -4 (/ (+ (log (/ 2 (- (* 1/4 (PI)) (* -1/4 (PI))))) (* -1 (log f))) (PI)))
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eval178.0ms (0.9%)

Memory
6.4MiB live, 395.4MiB allocated
Compiler

Compiled 39 708 to 4 665 computations (88.3% saved)

prune125.0ms (0.7%)

Memory
-2.9MiB live, 350.6MiB allocated
Pruning

16 alts after pruning (16 fresh and 0 done)

PrunedKeptTotal
New95616972
Fresh000
Picked101
Done000
Total95716973
Accuracy
100.0%
Counts
973 → 16
Alt Table
Click to see full alt table
StatusAccuracyProgram
97.2%
(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)))))
96.6%
(/.f64 (*.f64 #s(literal -4 binary64) (-.f64 (neg.f64 (log.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)))) (log.f64 f))) (PI.f64))
▶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)))
97.2%
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (/.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (*.f64 (PI.f64) #s(literal -1/4 binary64))) #s(literal 2 binary64)) #s(literal 0 binary64)) (neg.f64 (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)))))
▶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)))))
97.3%
(-.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))))
▶99.5%
(*.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)))))
99.3%
(*.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))))
97.1%
(*.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)))))
▶6.4%
(*.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)))
97.1%
(neg.f64 (/.f64 (*.f64 (-.f64 (pow.f64 (log.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))) #s(literal 3 binary64)) (pow.f64 (log.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))) #s(literal 3 binary64))) #s(literal 4 binary64)) (*.f64 (+.f64 (pow.f64 (log.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))) #s(literal 2 binary64)) (*.f64 (log.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))) (+.f64 (log.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))) (log.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))))))) (PI.f64))))
98.4%
(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) (pow.f64 (PI.f64) #s(literal 2/3 binary64)))) (cbrt.f64 (PI.f64))))
99.2%
(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))))
99.2%
(neg.f64 (*.f64 (/.f64 (neg.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))) (sqrt.f64 (PI.f64))) (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64)))))
97.1%
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (fma.f64 f (*.f64 f (fma.f64 (*.f64 (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))))
▶96.4%
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 #s(literal 2 binary64) (*.f64 f (*.f64 (PI.f64) #s(literal 1/2 binary64)))))))
Compiler

Compiled 786 to 490 computations (37.7% saved)

simplify291.0ms (1.5%)

Memory
15.3MiB live, 507.8MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(+.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)))))
✓cost-diff0
(/.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))))))
✓cost-diff0
(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)))))))
✓cost-diff0
(*.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)))
✓cost-diff0
(PI.f64)
✓cost-diff0
(*.f64 (PI.f64) #s(literal 1/4 binary64))
✓cost-diff0
(pow.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) #s(literal -1/2 binary64))
✓cost-diff13184
(*.f64 (pow.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) #s(literal -1/2 binary64)) (*.f64 (pow.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) #s(literal -1/2 binary64)) (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))))
✓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-diff256
(log.f64 (/.f64 #s(literal 2 binary64) (*.f64 f (*.f64 (PI.f64) #s(literal 1/2 binary64)))))
✓cost-diff320
(/.f64 #s(literal 2 binary64) (*.f64 f (*.f64 (PI.f64) #s(literal 1/2 binary64))))
✓cost-diff320
(/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64)))
✓cost-diff384
(/.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
7 260×lower-fma.f64
7 260×lower-fma.f32
2 906×lower-*.f32
2 882×lower-*.f64
2 672×lower-/.f32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
040361
071351
1140345
2294336
3602336
41067336
51939336
63730336
75636336
87840336
08290336
Stop Event
1×iter limit
1×node limit
1×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 (/.f64 #s(literal 2 binary64) (*.f64 f (*.f64 (PI.f64) #s(literal 1/2 binary64)))))))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 #s(literal 2 binary64) (*.f64 f (*.f64 (PI.f64) #s(literal 1/2 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64)))
#s(literal 1 binary64)
(/.f64 (PI.f64) #s(literal 4 binary64))
(PI.f64)
#s(literal 4 binary64)
(log.f64 (/.f64 #s(literal 2 binary64) (*.f64 f (*.f64 (PI.f64) #s(literal 1/2 binary64)))))
(/.f64 #s(literal 2 binary64) (*.f64 f (*.f64 (PI.f64) #s(literal 1/2 binary64))))
#s(literal 2 binary64)
(*.f64 f (*.f64 (PI.f64) #s(literal 1/2 binary64)))
f
(*.f64 (PI.f64) #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))))
#s(literal 1 binary64)
(/.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))))
(*.f64 (PI.f64) #s(literal 1/4 binary64))
(PI.f64)
#s(literal 1/4 binary64)
(log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))
(tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))
(*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)
f
(*.f64 (pow.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) #s(literal -1/2 binary64)) (*.f64 (pow.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) #s(literal -1/2 binary64)) (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))))
(pow.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) #s(literal -1/2 binary64))
(*.f64 (PI.f64) #s(literal 1/4 binary64))
(PI.f64)
#s(literal 1/4 binary64)
#s(literal -1/2 binary64)
(*.f64 (pow.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) #s(literal -1/2 binary64)) (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))))
(log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))
(tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))
(*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)
f
(*.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)))
(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 (+.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 (exp.f64 (*.f64 f (*.f64 (PI.f64) #s(literal -1/4 binary64)))) (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 f (*.f64 (PI.f64) #s(literal -1/4 binary64)))
f
(*.f64 (PI.f64) #s(literal -1/4 binary64))
(PI.f64)
#s(literal -1/4 binary64)
(exp.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64))))
(*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))
(*.f64 #s(literal 1/4 binary64) (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)))))
(/.f64 #s(literal -4 binary64) (PI.f64))
#s(literal -4 binary64)
Outputs
(/.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (*.f64 (PI.f64) #s(literal 1/4 binary64)))
(/.f64 (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.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)))
(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
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 #s(literal 2 binary64) (*.f64 f (*.f64 (PI.f64) #s(literal 1/2 binary64)))))))
(/.f64 (log.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))) (*.f64 (PI.f64) #s(literal 1/4 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 #s(literal 2 binary64) (*.f64 f (*.f64 (PI.f64) #s(literal 1/2 binary64))))))
(/.f64 (log.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))) (*.f64 (PI.f64) #s(literal -1/4 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64)))
(/.f64 #s(literal 4 binary64) (PI.f64))
#s(literal 1 binary64)
(/.f64 (PI.f64) #s(literal 4 binary64))
(*.f64 (PI.f64) #s(literal 1/4 binary64))
(PI.f64)
#s(literal 4 binary64)
(log.f64 (/.f64 #s(literal 2 binary64) (*.f64 f (*.f64 (PI.f64) #s(literal 1/2 binary64)))))
(neg.f64 (log.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))))
(/.f64 #s(literal 2 binary64) (*.f64 f (*.f64 (PI.f64) #s(literal 1/2 binary64))))
(/.f64 #s(literal 4 binary64) (*.f64 (PI.f64) f))
#s(literal 2 binary64)
(*.f64 f (*.f64 (PI.f64) #s(literal 1/2 binary64)))
f
(*.f64 (PI.f64) #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))))
(/.f64 (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))) (*.f64 (PI.f64) #s(literal 1/4 binary64)))
#s(literal 1 binary64)
(/.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))))
(/.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))))
(*.f64 (PI.f64) #s(literal 1/4 binary64))
(PI.f64)
#s(literal 1/4 binary64)
(log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))
(log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))))
(tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))
(tanh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))
(*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)
(*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))
f
(*.f64 (pow.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) #s(literal -1/2 binary64)) (*.f64 (pow.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) #s(literal -1/2 binary64)) (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))))
(/.f64 (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))) (*.f64 (PI.f64) #s(literal 1/4 binary64)))
(pow.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) #s(literal -1/2 binary64))
(*.f64 (PI.f64) #s(literal 1/4 binary64))
(PI.f64)
#s(literal 1/4 binary64)
#s(literal -1/2 binary64)
(*.f64 (pow.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) #s(literal -1/2 binary64)) (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))))
(*.f64 (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))) (pow.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) #s(literal -1/2 binary64)))
(log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))
(log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))))
(tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))
(tanh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))
(*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)
(*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))
f
(*.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)))
(/.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 f (*.f64 (PI.f64) #s(literal -1/4 binary64)))) (exp.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))) (-.f64 (exp.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))) (exp.f64 (*.f64 f (*.f64 (PI.f64) #s(literal -1/4 binary64))))))) (*.f64 (PI.f64) #s(literal -1/4 binary64)))
(log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 f (*.f64 (PI.f64) #s(literal -1/4 binary64)))) (exp.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64))))) (-.f64 (exp.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))) (exp.f64 (*.f64 f (*.f64 (PI.f64) #s(literal -1/4 binary64)))))))
(log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 f (*.f64 (PI.f64) #s(literal -1/4 binary64)))) (exp.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))) (-.f64 (exp.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))) (exp.f64 (*.f64 f (*.f64 (PI.f64) #s(literal -1/4 binary64)))))))
(/.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 (+.f64 (exp.f64 (*.f64 f (*.f64 (PI.f64) #s(literal -1/4 binary64)))) (exp.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))) (-.f64 (exp.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))) (exp.f64 (*.f64 f (*.f64 (PI.f64) #s(literal -1/4 binary64))))))
(+.f64 (exp.f64 (*.f64 f (*.f64 (PI.f64) #s(literal -1/4 binary64)))) (exp.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))))
(+.f64 (exp.f64 (*.f64 f (*.f64 (PI.f64) #s(literal -1/4 binary64)))) (exp.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))))
(exp.f64 (*.f64 f (*.f64 (PI.f64) #s(literal -1/4 binary64))))
(*.f64 f (*.f64 (PI.f64) #s(literal -1/4 binary64)))
f
(*.f64 (PI.f64) #s(literal -1/4 binary64))
(PI.f64)
#s(literal -1/4 binary64)
(exp.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64))))
(exp.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))
(*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))
(*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))
(*.f64 #s(literal 1/4 binary64) (PI.f64))
(*.f64 (PI.f64) #s(literal 1/4 binary64))
#s(literal 1/4 binary64)
(-.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 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))) (exp.f64 (*.f64 f (*.f64 (PI.f64) #s(literal -1/4 binary64)))))
(/.f64 #s(literal -4 binary64) (PI.f64))
#s(literal -4 binary64)

localize434.0ms (2.3%)

Memory
-44.4MiB live, 489.3MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
✓accuracy99.3%
(*.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)))
✓accuracy99.1%
(/.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))))))
✓accuracy98.5%
(PI.f64)
✓accuracy10.0%
(-.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)))))
✓accuracy99.6%
(*.f64 (pow.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) #s(literal -1/2 binary64)) (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))))
✓accuracy99.6%
(*.f64 (pow.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) #s(literal -1/2 binary64)) (*.f64 (pow.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) #s(literal -1/2 binary64)) (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))))
✓accuracy99.6%
(*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)
✓accuracy98.5%
(PI.f64)
✓accuracy99.6%
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))))
✓accuracy99.6%
(*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)
✓accuracy99.5%
(/.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))))
✓accuracy98.5%
(PI.f64)
✓accuracy99.6%
(*.f64 f (*.f64 (PI.f64) #s(literal 1/2 binary64)))
✓accuracy99.5%
(/.f64 #s(literal 2 binary64) (*.f64 f (*.f64 (PI.f64) #s(literal 1/2 binary64))))
✓accuracy99.3%
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 #s(literal 2 binary64) (*.f64 f (*.f64 (PI.f64) #s(literal 1/2 binary64))))))
✓accuracy98.5%
(PI.f64)
✓accuracy100.0%
(tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))
✓accuracy99.6%
(*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)
✓accuracy99.5%
(/.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (*.f64 (PI.f64) #s(literal 1/4 binary64)))
✓accuracy98.5%
(PI.f64)
Samples
179.0ms239×1valid
49.0ms4×5exit
7.0ms1×4valid
5.0ms12×0valid
Compiler

Compiled 363 to 42 computations (88.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 190.0ms
ival-log: 57.0ms (30% of total)
ival-mult: 46.0ms (24.2% of total)
ival-div: 26.0ms (13.7% of total)
ival-exp: 22.0ms (11.6% of total)
adjust: 10.0ms (5.3% of total)
ival-pow: 10.0ms (5.3% of total)
ival-tanh: 8.0ms (4.2% of total)
ival-pi: 2.0ms (1.1% of total)
ival-sub: 2.0ms (1.1% of total)
ival-add: 2.0ms (1.1% of total)
ival-neg: 2.0ms (1.1% of total)
exact: 1.0ms (0.5% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series393.0ms (2.1%)

Memory
13.8MiB live, 206.2MiB allocated
Counts
22 → 204
Calls
Call 1
Inputs
#<alt (/.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (*.f64 (PI.f64) #s(literal 1/4 binary64)))>
#<alt (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))>
#<alt (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))>
#<alt (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)>
#<alt (/.f64 (PI.f64) #s(literal 4 binary64))>
#<alt (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64)))>
#<alt (/.f64 #s(literal 2 binary64) (*.f64 f (*.f64 (PI.f64) #s(literal 1/2 binary64))))>
#<alt (log.f64 (/.f64 #s(literal 2 binary64) (*.f64 f (*.f64 (PI.f64) #s(literal 1/2 binary64)))))>
#<alt (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))))>
#<alt (/.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))))>
#<alt (*.f64 (PI.f64) #s(literal 1/4 binary64))>
#<alt (PI.f64)>
#<alt (*.f64 (pow.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) #s(literal -1/2 binary64)) (*.f64 (pow.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) #s(literal -1/2 binary64)) (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))))>
#<alt (pow.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) #s(literal -1/2 binary64))>
#<alt (*.f64 (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)))>
#<alt (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)))))))>
#<alt (/.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))))))>
#<alt (+.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)))))>
#<alt (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 #s(literal 2 binary64) (*.f64 f (*.f64 (PI.f64) #s(literal 1/2 binary64))))))>
#<alt (*.f64 f (*.f64 (PI.f64) #s(literal 1/2 binary64)))>
#<alt (*.f64 (pow.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) #s(literal -1/2 binary64)) (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))))>
#<alt (-.f64 (exp.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))) (exp.f64 (*.f64 f (*.f64 (PI.f64) #s(literal -1/4 binary64)))))>
Outputs
#<alt (* 4 (/ (+ (log f) (log (* 1/4 (PI)))) (PI)))>
#<alt (+ (* 4 (/ (+ (log f) (log (* 1/4 (PI)))) (PI))) (* 8 (/ (* f (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2)))) (pow (PI) 2))))>
#<alt (+ (* 4 (/ (+ (log f) (log (* 1/4 (PI)))) (PI))) (* f (+ (* 2 (/ (* f (+ (* -4 (/ (pow (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) 2) (pow (PI) 2))) (* 8 (/ (- (* 1/2 (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (+ (* -1/128 (pow (PI) 3)) (* 1/192 (pow (PI) 3))))) (* 1/128 (pow (PI) 3))) (PI))))) (PI))) (* 8 (/ (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) (pow (PI) 2))))))>
#<alt (+ (* 4 (/ (+ (log f) (log (* 1/4 (PI)))) (PI))) (* f (+ (* 8 (/ (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) (pow (PI) 2))) (* f (+ (* 2/3 (/ (* f (+ (* -48 (/ (* (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) (- (* 1/2 (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (+ (* -1/128 (pow (PI) 3)) (* 1/192 (pow (PI) 3))))) (* 1/128 (pow (PI) 3)))) (pow (PI) 2))) (+ (* 16 (/ (pow (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) 3) (pow (PI) 3))) (* 24 (/ (- (* 1/2 (+ (* -1/4 (* (PI) (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (+ (* -1/128 (pow (PI) 3)) (* 1/384 (pow (PI) 3)))))) (+ (* -1/32 (* (pow (PI) 2) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (+ (* -1/1536 (pow (PI) 4)) (* 1/3072 (pow (PI) 4)))))) (+ (* -1/8 (* (PI) (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (* -1/128 (pow (PI) 3))))) (* 1/64 (* (pow (PI) 2) (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))))))) (PI)))))) (PI))) (* 2 (/ (+ (* -4 (/ (pow (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) 2) (pow (PI) 2))) (* 8 (/ (- (* 1/2 (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (+ (* -1/128 (pow (PI) 3)) (* 1/192 (pow (PI) 3))))) (* 1/128 (pow (PI) 3))) (PI)))) (PI))))))))>
#<alt (* 4 (/ (log (/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))) (PI)))>
#<alt (* 4 (/ (log (/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))) (PI)))>
#<alt (* 4 (/ (log (/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))) (PI)))>
#<alt (* 4 (/ (log (/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))) (PI)))>
#<alt (* 4 (/ (log (/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))) (PI)))>
#<alt (* 4 (/ (log (/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))) (PI)))>
#<alt (* 4 (/ (log (/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))) (PI)))>
#<alt (* 4 (/ (log (/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))) (PI)))>
#<alt (+ (log f) (log (* 1/4 (PI))))>
#<alt (+ (log f) (+ (log (* 1/4 (PI))) (* 2 (/ (* f (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2)))) (PI)))))>
#<alt (+ (log f) (+ (log (* 1/4 (PI))) (* f (+ (* 1/2 (* f (+ (* -4 (/ (pow (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) 2) (pow (PI) 2))) (* 8 (/ (- (* 1/2 (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (+ (* -1/128 (pow (PI) 3)) (* 1/192 (pow (PI) 3))))) (* 1/128 (pow (PI) 3))) (PI)))))) (* 2 (/ (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) (PI)))))))>
#<alt (+ (log f) (+ (log (* 1/4 (PI))) (* f (+ (* 2 (/ (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) (PI))) (* f (+ (* 1/6 (* f (+ (* -48 (/ (* (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) (- (* 1/2 (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (+ (* -1/128 (pow (PI) 3)) (* 1/192 (pow (PI) 3))))) (* 1/128 (pow (PI) 3)))) (pow (PI) 2))) (+ (* 16 (/ (pow (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) 3) (pow (PI) 3))) (* 24 (/ (- (* 1/2 (+ (* -1/4 (* (PI) (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (+ (* -1/128 (pow (PI) 3)) (* 1/384 (pow (PI) 3)))))) (+ (* -1/32 (* (pow (PI) 2) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (+ (* -1/1536 (pow (PI) 4)) (* 1/3072 (pow (PI) 4)))))) (+ (* -1/8 (* (PI) (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (* -1/128 (pow (PI) 3))))) (* 1/64 (* (pow (PI) 2) (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))))))) (PI))))))) (* 1/2 (+ (* -4 (/ (pow (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) 2) (pow (PI) 2))) (* 8 (/ (- (* 1/2 (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (+ (* -1/128 (pow (PI) 3)) (* 1/192 (pow (PI) 3))))) (* 1/128 (pow (PI) 3))) (PI)))))))))))>
#<alt (log (/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI))))))))>
#<alt (log (/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI))))))))>
#<alt (log (/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI))))))))>
#<alt (log (/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI))))))))>
#<alt (log (/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI))))))))>
#<alt (log (/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI))))))))>
#<alt (log (/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI))))))))>
#<alt (log (/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI))))))))>
#<alt (* 1/4 (* f (PI)))>
#<alt (* f (+ (* 1/4 (PI)) (* 1/2 (* f (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2)))))))>
#<alt (* f (+ (* 1/4 (PI)) (* f (+ (* 1/2 (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2)))) (* f (- (* 1/2 (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (+ (* -1/128 (pow (PI) 3)) (* 1/192 (pow (PI) 3))))) (* 1/128 (pow (PI) 3))))))))>
#<alt (* f (+ (* 1/4 (PI)) (* f (+ (* 1/2 (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2)))) (* f (- (+ (* 1/2 (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (+ (* -1/128 (pow (PI) 3)) (* 1/192 (pow (PI) 3))))) (* f (- (* 1/2 (+ (* -1/4 (* (PI) (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (+ (* -1/128 (pow (PI) 3)) (* 1/384 (pow (PI) 3)))))) (+ (* -1/32 (* (pow (PI) 2) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (+ (* -1/1536 (pow (PI) 4)) (* 1/3072 (pow (PI) 4)))))) (+ (* -1/8 (* (PI) (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (* -1/128 (pow (PI) 3))))) (* 1/64 (* (pow (PI) 2) (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))))))))) (* 1/128 (pow (PI) 3))))))))>
#<alt (/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))>
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#<alt (+ (log (/ 2 (- (* 1/4 (PI)) (* -1/4 (PI))))) (+ (* -1 (log f)) (* f (+ (* 1/2 (* (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI)))))) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* f (+ (* 1/6 (* f (+ (* -3/2 (* (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI)))))) (* (- (* 1/16 (/ (pow (PI) 2) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 2 (/ (- (* 1/384 (pow (PI) 3)) (* -1/384 (pow (PI) 3))) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 2)))) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 2)))) (+ (* 1/4 (* (pow (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI)))))) 3) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 3))) (* 3 (* (- (* 1/4 (PI)) (* -1/4 (PI))) (- (+ (* -1/384 (/ (pow (PI) 3) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/384 (/ (pow (PI) 3) (- (* 1/4 (PI)) (* -1/4 (PI)))))) (/ (* (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI)))))) (- (* 1/384 (pow (PI) 3)) (* -1/384 (pow (PI) 3)))) (- (* 1/4 (PI)) (* -1/4 (PI))))))))))) (* 1/2 (+ (* -1/4 (* (pow (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI)))))) 2) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 2))) (* (- (* 1/16 (/ (pow (PI) 2) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 2 (/ (- (* 1/384 (pow (PI) 3)) (* -1/384 (pow (PI) 3))) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 2)))) (- (* 1/4 (PI)) (* -1/4 (PI))))))))))))>
#<alt (log (/ (+ (exp (* -1/4 (* f (PI)))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (* -1/4 (* f (PI)))))))>
#<alt (log (/ (+ (exp (* -1/4 (* f (PI)))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (* -1/4 (* f (PI)))))))>
#<alt (log (/ (+ (exp (* -1/4 (* f (PI)))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (* -1/4 (* f (PI)))))))>
#<alt (log (/ (+ (exp (* -1/4 (* f (PI)))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (* -1/4 (* f (PI)))))))>
#<alt (log (/ (+ (exp (* -1/4 (* f (PI)))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (* -1/4 (* f (PI)))))))>
#<alt (log (/ (+ (exp (* -1/4 (* f (PI)))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (* -1/4 (* f (PI)))))))>
#<alt (log (/ (+ (exp (* -1/4 (* f (PI)))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (* -1/4 (* f (PI)))))))>
#<alt (log (/ (+ (exp (* -1/4 (* f (PI)))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (* -1/4 (* f (PI)))))))>
#<alt (/ 2 (* f (- (* 1/4 (PI)) (* -1/4 (PI)))))>
#<alt (/ (+ (* f (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))))) (* 2 (/ 1 (- (* 1/4 (PI)) (* -1/4 (PI)))))) f)>
#<alt (/ (+ (* f (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (+ (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* f (- (* 1/16 (/ (pow (PI) 2) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 2 (/ (- (* 1/384 (pow (PI) 3)) (* -1/384 (pow (PI) 3))) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 2)))))))) (* 2 (/ 1 (- (* 1/4 (PI)) (* -1/4 (PI)))))) f)>
#<alt (/ (+ (* f (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (+ (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* f (- (+ (* 1/16 (/ (pow (PI) 2) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* f (- (+ (* -1/384 (/ (pow (PI) 3) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/384 (/ (pow (PI) 3) (- (* 1/4 (PI)) (* -1/4 (PI)))))) (/ (* (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI)))))) (- (* 1/384 (pow (PI) 3)) (* -1/384 (pow (PI) 3)))) (- (* 1/4 (PI)) (* -1/4 (PI))))))) (* 2 (/ (- (* 1/384 (pow (PI) 3)) (* -1/384 (pow (PI) 3))) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 2)))))))) (* 2 (/ 1 (- (* 1/4 (PI)) (* -1/4 (PI)))))) f)>
#<alt (/ (+ (exp (* -1/4 (* f (PI)))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (* -1/4 (* f (PI))))))>
#<alt (/ (+ (exp (* -1/4 (* f (PI)))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (* -1/4 (* f (PI))))))>
#<alt (/ (+ (exp (* -1/4 (* f (PI)))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (* -1/4 (* f (PI))))))>
#<alt (/ (+ (exp (* -1/4 (* f (PI)))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (* -1/4 (* f (PI))))))>
#<alt (/ (+ (exp (* -1/4 (* f (PI)))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (* -1/4 (* f (PI))))))>
#<alt (/ (+ (exp (* -1/4 (* f (PI)))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (* -1/4 (* f (PI))))))>
#<alt (/ (+ (exp (* -1/4 (* f (PI)))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (* -1/4 (* f (PI))))))>
#<alt (/ (+ (exp (* -1/4 (* f (PI)))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (* -1/4 (* f (PI))))))>
#<alt 2>
#<alt (+ 2 (* f (+ (* -1/4 (PI)) (* 1/4 (PI)))))>
#<alt (+ 2 (* f (+ (* -1/4 (PI)) (+ (* 1/16 (* f (pow (PI) 2))) (* 1/4 (PI))))))>
#<alt (+ 2 (* f (+ (* -1/4 (PI)) (+ (* 1/4 (PI)) (* f (+ (* 1/16 (pow (PI) 2)) (* f (+ (* -1/384 (pow (PI) 3)) (* 1/384 (pow (PI) 3))))))))))>
#<alt (+ (exp (* -1/4 (* f (PI)))) (exp (* 1/4 (* f (PI)))))>
#<alt (+ (exp (* -1/4 (* f (PI)))) (exp (* 1/4 (* f (PI)))))>
#<alt (+ (exp (* -1/4 (* f (PI)))) (exp (* 1/4 (* f (PI)))))>
#<alt (+ (exp (* -1/4 (* f (PI)))) (exp (* 1/4 (* f (PI)))))>
#<alt (+ (exp (* -1/4 (* f (PI)))) (exp (* 1/4 (* f (PI)))))>
#<alt (+ (exp (* -1/4 (* f (PI)))) (exp (* 1/4 (* f (PI)))))>
#<alt (+ (exp (* -1/4 (* f (PI)))) (exp (* 1/4 (* f (PI)))))>
#<alt (+ (exp (* -1/4 (* f (PI)))) (exp (* 1/4 (* f (PI)))))>
#<alt (* 4 (/ (+ (log (/ 4 (PI))) (* -1 (log f))) (PI)))>
#<alt (* 4 (/ (+ (log (/ 4 (PI))) (* -1 (log f))) (PI)))>
#<alt (* 4 (/ (+ (log (/ 4 (PI))) (* -1 (log f))) (PI)))>
#<alt (* 4 (/ (+ (log (/ 4 (PI))) (* -1 (log f))) (PI)))>
#<alt (* 4 (/ (+ (log (/ 1 f)) (log (/ 4 (PI)))) (PI)))>
#<alt (* 4 (/ (+ (log (/ 1 f)) (log (/ 4 (PI)))) (PI)))>
#<alt (* 4 (/ (+ (log (/ 1 f)) (log (/ 4 (PI)))) (PI)))>
#<alt (* 4 (/ (+ (log (/ 1 f)) (log (/ 4 (PI)))) (PI)))>
#<alt (* 4 (/ (+ (log (/ -4 (PI))) (log (/ -1 f))) (PI)))>
#<alt (* 4 (/ (+ (log (/ -4 (PI))) (log (/ -1 f))) (PI)))>
#<alt (* 4 (/ (+ (log (/ -4 (PI))) (log (/ -1 f))) (PI)))>
#<alt (* 4 (/ (+ (log (/ -4 (PI))) (log (/ -1 f))) (PI)))>
#<alt (* 1/2 (* f (PI)))>
#<alt (* 1/2 (* f (PI)))>
#<alt (* 1/2 (* f (PI)))>
#<alt (* 1/2 (* f (PI)))>
#<alt (* 1/2 (* f (PI)))>
#<alt (* 1/2 (* f (PI)))>
#<alt (* 1/2 (* f (PI)))>
#<alt (* 1/2 (* f (PI)))>
#<alt (* 1/2 (* f (PI)))>
#<alt (* 1/2 (* f (PI)))>
#<alt (* 1/2 (* f (PI)))>
#<alt (* 1/2 (* f (PI)))>
#<alt (* 2 (* (sqrt (/ 1 (PI))) (+ (log f) (log (* 1/4 (PI))))))>
#<alt (+ (* 2 (* (sqrt (/ 1 (PI))) (+ (log f) (log (* 1/4 (PI)))))) (* 4 (* (* f (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2)))) (sqrt (/ 1 (pow (PI) 3))))))>
#<alt (+ (* 2 (* (sqrt (/ 1 (PI))) (+ (log f) (log (* 1/4 (PI)))))) (* f (+ (* 4 (* (sqrt (/ 1 (pow (PI) 3))) (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))))) (* (* f (+ (* -4 (/ (pow (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) 2) (pow (PI) 2))) (* 8 (/ (- (* 1/2 (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (+ (* -1/128 (pow (PI) 3)) (* 1/192 (pow (PI) 3))))) (* 1/128 (pow (PI) 3))) (PI))))) (sqrt (/ 1 (PI)))))))>
#<alt (+ (* 2 (* (sqrt (/ 1 (PI))) (+ (log f) (log (* 1/4 (PI)))))) (* f (+ (* 4 (* (sqrt (/ 1 (pow (PI) 3))) (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))))) (* f (+ (* 1/3 (* (* f (+ (* -48 (/ (* (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) (- (* 1/2 (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (+ (* -1/128 (pow (PI) 3)) (* 1/192 (pow (PI) 3))))) (* 1/128 (pow (PI) 3)))) (pow (PI) 2))) (+ (* 16 (/ (pow (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) 3) (pow (PI) 3))) (* 24 (/ (- (* 1/2 (+ (* -1/4 (* (PI) (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (+ (* -1/128 (pow (PI) 3)) (* 1/384 (pow (PI) 3)))))) (+ (* -1/32 (* (pow (PI) 2) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (+ (* -1/1536 (pow (PI) 4)) (* 1/3072 (pow (PI) 4)))))) (+ (* -1/8 (* (PI) (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (* -1/128 (pow (PI) 3))))) (* 1/64 (* (pow (PI) 2) (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))))))) (PI)))))) (sqrt (/ 1 (PI))))) (* (sqrt (/ 1 (PI))) (+ (* -4 (/ (pow (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) 2) (pow (PI) 2))) (* 8 (/ (- (* 1/2 (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (+ (* -1/128 (pow (PI) 3)) (* 1/192 (pow (PI) 3))))) (* 1/128 (pow (PI) 3))) (PI))))))))))>
#<alt (* 2 (* (sqrt (/ 1 (PI))) (log (/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI))))))))))>
#<alt (* 2 (* (sqrt (/ 1 (PI))) (log (/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI))))))))))>
#<alt (* 2 (* (sqrt (/ 1 (PI))) (log (/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI))))))))))>
#<alt (* 2 (* (sqrt (/ 1 (PI))) (log (/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI))))))))))>
#<alt (* 2 (* (sqrt (/ 1 (PI))) (log (/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI))))))))))>
#<alt (* 2 (* (sqrt (/ 1 (PI))) (log (/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI))))))))))>
#<alt (* 2 (* (sqrt (/ 1 (PI))) (log (/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI))))))))))>
#<alt (* 2 (* (sqrt (/ 1 (PI))) (log (/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI))))))))))>
#<alt (* f (- (* 1/4 (PI)) (* -1/4 (PI))))>
#<alt (* f (- (+ (* 1/4 (PI)) (* (pow f 2) (- (* 1/384 (pow (PI) 3)) (* -1/384 (pow (PI) 3))))) (* -1/4 (PI))))>
#<alt (* 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))))>
#<alt (* 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))))>
#<alt (- (exp (* 1/4 (* f (PI)))) (exp (* -1/4 (* f (PI)))))>
#<alt (- (exp (* 1/4 (* f (PI)))) (exp (* -1/4 (* f (PI)))))>
#<alt (- (exp (* 1/4 (* f (PI)))) (exp (* -1/4 (* f (PI)))))>
#<alt (- (exp (* 1/4 (* f (PI)))) (exp (* -1/4 (* f (PI)))))>
#<alt (- (exp (* 1/4 (* f (PI)))) (exp (* -1/4 (* f (PI)))))>
#<alt (- (exp (* 1/4 (* f (PI)))) (exp (* -1/4 (* f (PI)))))>
#<alt (- (exp (* 1/4 (* f (PI)))) (exp (* -1/4 (* f (PI)))))>
#<alt (- (exp (* 1/4 (* f (PI)))) (exp (* -1/4 (* f (PI)))))>
Calls

51 calls:

TimeVariablePointExpression
97.0ms
f
@-inf
(/ (log (tanh (* (* (PI) 1/4) f))) (* (PI) 1/4))
89.0ms
f
@-inf
(* (log (/ (+ (exp (* f (* (PI) -1/4))) (exp (* f (* 1/4 (PI))))) (- (exp (* f (* 1/4 (PI)))) (exp (* f (* (PI) -1/4)))))) (/ -4 (PI)))
72.0ms
f
@inf
(* (log (/ (+ (exp (* f (* (PI) -1/4))) (exp (* f (* 1/4 (PI))))) (- (exp (* f (* 1/4 (PI)))) (exp (* f (* (PI) -1/4)))))) (/ -4 (PI)))
45.0ms
f
@0
(log (/ 2 (* f (* (PI) 1/2))))
25.0ms
f
@inf
(/ (log (tanh (* (* (PI) 1/4) f))) (* (PI) 1/4))

rewrite775.0ms (4.1%)

Memory
35.4MiB live, 510.3MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
4 522×lower-*.f32
4 498×lower-*.f64
4 186×lower-/.f32
4 170×lower-/.f64
2 490×lower-fma.f64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
039249
069218
1236163
21417162
08258162
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
22 → 1 751
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 4 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64)))
(/.f64 #s(literal 2 binary64) (*.f64 f (*.f64 (PI.f64) #s(literal 1/2 binary64))))
(log.f64 (/.f64 #s(literal 2 binary64) (*.f64 f (*.f64 (PI.f64) #s(literal 1/2 binary64)))))
(/.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 (pow.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) #s(literal -1/2 binary64)) (*.f64 (pow.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) #s(literal -1/2 binary64)) (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))))
(pow.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) #s(literal -1/2 binary64))
(*.f64 (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)))
(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 (+.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 (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 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 #s(literal 2 binary64) (*.f64 f (*.f64 (PI.f64) #s(literal 1/2 binary64))))))
(*.f64 f (*.f64 (PI.f64) #s(literal 1/2 binary64)))
(*.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 (exp.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))) (exp.f64 (*.f64 f (*.f64 (PI.f64) #s(literal -1/4 binary64)))))
Outputs
(exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) (log.f64 (tanh.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f)))))) #s(literal -1 binary64)))
(-.f64 (/.f64 (log.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f))))) (*.f64 (PI.f64) #s(literal 1/4 binary64))) (/.f64 (log.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f))))) (*.f64 (PI.f64) #s(literal 1/4 binary64))))
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(*.f64 (/.f64 (-.f64 (exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) #s(literal 1/4 binary64))) f)) (exp.f64 (*.f64 (*.f64 f (*.f64 (PI.f64) #s(literal -1/4 binary64))) #s(literal 2 binary64)))) (-.f64 (exp.f64 (*.f64 (*.f64 f (*.f64 (PI.f64) #s(literal -1/4 binary64))) #s(literal 2 binary64))) (exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) #s(literal 1/4 binary64))) f)))) (-.f64 (exp.f64 (*.f64 f (*.f64 (PI.f64) #s(literal -1/4 binary64)))) (exp.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f)))))
(*.f64 (/.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f)))) (+.f64 (exp.f64 (*.f64 (*.f64 f (*.f64 (PI.f64) #s(literal -1/4 binary64))) #s(literal 3 binary64))) (exp.f64 (*.f64 f (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) #s(literal 3 binary64)))))) (/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f)))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 (*.f64 f (*.f64 (PI.f64) #s(literal -1/4 binary64))) #s(literal 2 binary64))) (expm1.f64 (*.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) #s(literal 1/4 binary64))) f))))))
(*.f64 (/.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f)))) (-.f64 (exp.f64 (*.f64 (*.f64 f (*.f64 (PI.f64) #s(literal -1/4 binary64))) #s(literal 2 binary64))) (exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) #s(literal 1/4 binary64))) f)))) (/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f)))) (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (*.f64 f (*.f64 (PI.f64) #s(literal -1/4 binary64)))) (exp.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f)))))))

simplify482.0ms (2.5%)

Memory
-8.2MiB live, 496.1MiB allocated
Algorithm
1×egg-herbie
Rules
5 156×lower-fma.f64
5 156×lower-fma.f32
4 144×lower-*.f64
4 144×lower-*.f32
1 802×times-frac
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04156125
113265223
257834640
088574497
Stop Event
1×iter limit
1×node limit
Counts
204 → 204
Calls
Call 1
Inputs
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(* 4 (/ (+ (log (/ 1 f)) (log (/ 4 (PI)))) (PI)))
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(* 4 (/ (+ (log (/ -4 (PI))) (log (/ -1 f))) (PI)))
(* 4 (/ (+ (log (/ -4 (PI))) (log (/ -1 f))) (PI)))
(* 4 (/ (+ (log (/ -4 (PI))) (log (/ -1 f))) (PI)))
(* 4 (/ (+ (log (/ -4 (PI))) (log (/ -1 f))) (PI)))
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(* 2 (* (sqrt (/ 1 (PI))) (+ (log f) (log (* 1/4 (PI))))))
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(* 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))))
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Outputs
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(fma.f64 (+.f64 (log.f64 f) (log.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)))) (*.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))) #s(literal 0 binary64))
(+ (* 2 (* (sqrt (/ 1 (PI))) (+ (log f) (log (* 1/4 (PI)))))) (* f (+ (* 4 (* (sqrt (/ 1 (pow (PI) 3))) (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))))) (* (* f (+ (* -4 (/ (pow (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) 2) (pow (PI) 2))) (* 8 (/ (- (* 1/2 (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (+ (* -1/128 (pow (PI) 3)) (* 1/192 (pow (PI) 3))))) (* 1/128 (pow (PI) 3))) (PI))))) (sqrt (/ 1 (PI)))))))
(fma.f64 f (fma.f64 f (fma.f64 #s(literal 8 binary64) (*.f64 (/.f64 (fma.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal -1/32 binary64)) #s(literal -1/8 binary64) (fma.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal -1/768 binary64) (*.f64 #s(literal -1/128 binary64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))))) (PI.f64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))) #s(literal 0 binary64)) #s(literal 0 binary64)) (*.f64 (+.f64 (log.f64 f) (log.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)))) (*.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))))
(+ (* 2 (* (sqrt (/ 1 (PI))) (+ (log f) (log (* 1/4 (PI)))))) (* f (+ (* 4 (* (sqrt (/ 1 (pow (PI) 3))) (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))))) (* f (+ (* 1/3 (* (* f (+ (* -48 (/ (* (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) (- (* 1/2 (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (+ (* -1/128 (pow (PI) 3)) (* 1/192 (pow (PI) 3))))) (* 1/128 (pow (PI) 3)))) (pow (PI) 2))) (+ (* 16 (/ (pow (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) 3) (pow (PI) 3))) (* 24 (/ (- (* 1/2 (+ (* -1/4 (* (PI) (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (+ (* -1/128 (pow (PI) 3)) (* 1/384 (pow (PI) 3)))))) (+ (* -1/32 (* (pow (PI) 2) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (+ (* -1/1536 (pow (PI) 4)) (* 1/3072 (pow (PI) 4)))))) (+ (* -1/8 (* (PI) (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (* -1/128 (pow (PI) 3))))) (* 1/64 (* (pow (PI) 2) (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))))))) (PI)))))) (sqrt (/ 1 (PI))))) (* (sqrt (/ 1 (PI))) (+ (* -4 (/ (pow (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) 2) (pow (PI) 2))) (* 8 (/ (- (* 1/2 (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (+ (* -1/128 (pow (PI) 3)) (* 1/192 (pow (PI) 3))))) (* 1/128 (pow (PI) 3))) (PI))))))))))
(fma.f64 f (fma.f64 f (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fma.f64 (*.f64 #s(literal 1/3 binary64) f) (fma.f64 #s(literal 24 binary64) (/.f64 (fma.f64 #s(literal 1/2 binary64) (fma.f64 (fma.f64 (PI.f64) (*.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal -1/32 binary64))) (*.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal -1/192 binary64)))) (*.f64 (PI.f64) #s(literal -1/4 binary64)) (fma.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (PI.f64)) #s(literal 1/1024 binary64) (*.f64 #s(literal -1/3072 binary64) (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (PI.f64))))) (*.f64 (*.f64 (PI.f64) (fma.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal -1/32 binary64)) (*.f64 #s(literal -1/128 binary64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))))) #s(literal 1/8 binary64))) (PI.f64)) #s(literal 0 binary64)) (fma.f64 #s(literal 8 binary64) (/.f64 (fma.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal -1/32 binary64)) #s(literal -1/8 binary64) (fma.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal -1/768 binary64) (*.f64 #s(literal -1/128 binary64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))))) (PI.f64)) #s(literal 0 binary64)))) #s(literal 0 binary64)) (*.f64 (+.f64 (log.f64 f) (log.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)))) (*.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))))
(* 2 (* (sqrt (/ 1 (PI))) (log (/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI))))))))))
(*.f64 (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))))))) (*.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))))
(* 2 (* (sqrt (/ 1 (PI))) (log (/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI))))))))))
(*.f64 (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))))))) (*.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))))
(* 2 (* (sqrt (/ 1 (PI))) (log (/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI))))))))))
(*.f64 (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))))))) (*.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))))
(* 2 (* (sqrt (/ 1 (PI))) (log (/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI))))))))))
(*.f64 (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))))))) (*.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))))
(* 2 (* (sqrt (/ 1 (PI))) (log (/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI))))))))))
(*.f64 (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))))))) (*.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))))
(* 2 (* (sqrt (/ 1 (PI))) (log (/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI))))))))))
(*.f64 (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))))))) (*.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))))
(* 2 (* (sqrt (/ 1 (PI))) (log (/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI))))))))))
(*.f64 (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))))))) (*.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))))
(* 2 (* (sqrt (/ 1 (PI))) (log (/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI))))))))))
(*.f64 (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))))))) (*.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))))
(* f (- (* 1/4 (PI)) (* -1/4 (PI))))
(*.f64 f (*.f64 (PI.f64) #s(literal 1/2 binary64)))
(* f (- (+ (* 1/4 (PI)) (* (pow f 2) (- (* 1/384 (pow (PI) 3)) (* -1/384 (pow (PI) 3))))) (* -1/4 (PI))))
(*.f64 f (fma.f64 f (*.f64 f (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) #s(literal 1/192 binary64)))) (*.f64 (PI.f64) #s(literal 1/2 binary64))))
(* 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))))
(*.f64 f (fma.f64 (*.f64 f f) (fma.f64 (*.f64 f f) (*.f64 (pow.f64 (PI.f64) #s(literal 5 binary64)) #s(literal 1/61440 binary64)) (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) #s(literal 1/192 binary64)))) (*.f64 (PI.f64) #s(literal 1/2 binary64))))
(* 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))))
(*.f64 f (fma.f64 (*.f64 f f) (fma.f64 (*.f64 f f) (fma.f64 (*.f64 f f) (*.f64 (pow.f64 (PI.f64) #s(literal 7 binary64)) #s(literal 1/41287680 binary64)) (*.f64 (pow.f64 (PI.f64) #s(literal 5 binary64)) #s(literal 1/61440 binary64))) (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) #s(literal 1/192 binary64)))) (*.f64 (PI.f64) #s(literal 1/2 binary64))))
(- (exp (* 1/4 (* f (PI)))) (exp (* -1/4 (* f (PI)))))
(-.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 (* 1/4 (* f (PI)))) (exp (* -1/4 (* f (PI)))))
(-.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 (* 1/4 (* f (PI)))) (exp (* -1/4 (* f (PI)))))
(-.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 (* 1/4 (* f (PI)))) (exp (* -1/4 (* f (PI)))))
(-.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 (* 1/4 (* f (PI)))) (exp (* -1/4 (* f (PI)))))
(-.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 (* 1/4 (* f (PI)))) (exp (* -1/4 (* f (PI)))))
(-.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 (* 1/4 (* f (PI)))) (exp (* -1/4 (* f (PI)))))
(-.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 (* 1/4 (* f (PI)))) (exp (* -1/4 (* f (PI)))))
(-.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)))))

eval806.0ms (4.2%)

Memory
-83.3MiB live, 1 269.1MiB allocated
Compiler

Compiled 87 460 to 7 627 computations (91.3% saved)

prune322.0ms (1.7%)

Memory
28.4MiB live, 825.6MiB allocated
Pruning

13 alts after pruning (13 fresh and 0 done)

PrunedKeptTotal
New3 136113 147
Fresh9211
Picked505
Done000
Total3 150133 163
Accuracy
100.0%
Counts
3 163 → 13
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶96.6%
(/.f64 (log.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))) (*.f64 (PI.f64) #s(literal 1/4 binary64)))
▶99.5%
(/.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64)))) #s(literal 1/4 binary64)) f))) (*.f64 (PI.f64) #s(literal 1/4 binary64)))
▶97.1%
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) (log.f64 (*.f64 f (fma.f64 (fma.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal -1/32 binary64)) #s(literal -1/8 binary64) (fma.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal -1/768 binary64) (*.f64 #s(literal -1/128 binary64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))))) (*.f64 f f) (*.f64 #s(literal 1/4 binary64) (PI.f64)))))))
96.5%
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) (log.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64))))))
99.3%
(*.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))))
96.5%
(*.f64 (-.f64 (log.f64 (/.f64 #s(literal 2 binary64) (*.f64 (PI.f64) #s(literal 1/2 binary64)))) (log.f64 f)) (/.f64 #s(literal -4 binary64) (PI.f64)))
▶96.4%
(neg.f64 (/.f64 (*.f64 (neg.f64 (log.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f)))) (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (PI.f64))))
96.3%
(neg.f64 (*.f64 (/.f64 (neg.f64 (log.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f)))) (*.f64 #s(literal 1/4 binary64) (sqrt.f64 (PI.f64)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64)))))
96.4%
(neg.f64 (*.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (neg.f64 (log.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f))))))
96.0%
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64)))) #s(literal 4 binary64))) (log.f64 (/.f64 #s(literal 2 binary64) (*.f64 f (*.f64 (PI.f64) #s(literal 1/2 binary64)))))))
97.1%
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (fma.f64 f (*.f64 f (fma.f64 (*.f64 (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))))
▶96.4%
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 #s(literal 2 binary64) (*.f64 f (*.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))) #s(literal 1/2 binary64)))))))
95.2%
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 1/4 binary64) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)))) (log.f64 (/.f64 #s(literal 2 binary64) (*.f64 f (*.f64 (PI.f64) #s(literal 1/2 binary64)))))))
Compiler

Compiled 498 to 368 computations (26.1% saved)

simplify323.0ms (1.7%)

Memory
9.7MiB live, 481.8MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(/.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) (log.f64 (*.f64 f (fma.f64 (fma.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal -1/32 binary64)) #s(literal -1/8 binary64) (fma.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal -1/768 binary64) (*.f64 #s(literal -1/128 binary64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))))) (*.f64 f f) (*.f64 #s(literal 1/4 binary64) (PI.f64))))))
✓cost-diff704
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) (log.f64 (*.f64 f (fma.f64 (fma.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal -1/32 binary64)) #s(literal -1/8 binary64) (fma.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal -1/768 binary64) (*.f64 #s(literal -1/128 binary64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))))) (*.f64 f f) (*.f64 #s(literal 1/4 binary64) (PI.f64)))))))
✓cost-diff1024
(fma.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal -1/768 binary64) (*.f64 #s(literal -1/128 binary64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))))
✓cost-diff1344
(fma.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal -1/32 binary64)) #s(literal -1/8 binary64) (fma.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal -1/768 binary64) (*.f64 #s(literal -1/128 binary64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))))))
✓cost-diff320
(/.f64 #s(literal 2 binary64) (*.f64 f (*.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))) #s(literal 1/2 binary64))))
✓cost-diff320
(/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64)))
✓cost-diff384
(/.f64 (PI.f64) #s(literal 4 binary64))
✓cost-diff1600
(*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)))
✓cost-diff0
(neg.f64 (log.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f))))
✓cost-diff128
(*.f64 (neg.f64 (log.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f)))) (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64))))
✓cost-diff128
(neg.f64 (/.f64 (*.f64 (neg.f64 (log.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f)))) (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (PI.f64))))
✓cost-diff1984
(/.f64 (*.f64 (neg.f64 (log.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f)))) (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (PI.f64)))
✓cost-diff0
(*.f64 #s(literal 1/4 binary64) (PI.f64))
✓cost-diff0
(*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))
✓cost-diff0
(log.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64))))
✓cost-diff0
(/.f64 (log.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))) (*.f64 (PI.f64) #s(literal 1/4 binary64)))
✓cost-diff0
(*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64)))) #s(literal 1/4 binary64)) f)
✓cost-diff0
(tanh.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64)))) #s(literal 1/4 binary64)) f))
✓cost-diff0
(log.f64 (tanh.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64)))) #s(literal 1/4 binary64)) f)))
✓cost-diff0
(/.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64)))) #s(literal 1/4 binary64)) f))) (*.f64 (PI.f64) #s(literal 1/4 binary64)))
Rules
5 860×lower-fma.f32
5 854×lower-fma.f64
3 994×lower-*.f32
3 954×lower-*.f64
1 996×lower-+.f64
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
055549
0103458
1221411
2550370
31895370
44628368
08029368
Stop Event
1×iter limit
1×node limit
1×iter limit
Calls
Call 1
Inputs
(/.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64)))) #s(literal 1/4 binary64)) f))) (*.f64 (PI.f64) #s(literal 1/4 binary64)))
(log.f64 (tanh.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64)))) #s(literal 1/4 binary64)) f)))
(tanh.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64)))) #s(literal 1/4 binary64)) f))
(*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.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 (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 1/4 binary64)
f
(*.f64 (PI.f64) #s(literal 1/4 binary64))
(/.f64 (log.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))) (*.f64 (PI.f64) #s(literal 1/4 binary64)))
(log.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64))))
(*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))
f
(*.f64 #s(literal 1/4 binary64) (PI.f64))
#s(literal 1/4 binary64)
(PI.f64)
(*.f64 (PI.f64) #s(literal 1/4 binary64))
(neg.f64 (/.f64 (*.f64 (neg.f64 (log.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f)))) (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (PI.f64))))
(/.f64 (*.f64 (neg.f64 (log.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f)))) (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (PI.f64)))
(*.f64 (neg.f64 (log.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f)))) (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64))))
(neg.f64 (log.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f))))
(log.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f)))
(*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f))
#s(literal 1/4 binary64)
(*.f64 (PI.f64) f)
(PI.f64)
f
(/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64)))
#s(literal 4 binary64)
(sqrt.f64 (PI.f64))
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 #s(literal 2 binary64) (*.f64 f (*.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))) #s(literal 1/2 binary64)))))))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 #s(literal 2 binary64) (*.f64 f (*.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))) #s(literal 1/2 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64)))
#s(literal 1 binary64)
(/.f64 (PI.f64) #s(literal 4 binary64))
(PI.f64)
#s(literal 4 binary64)
(log.f64 (/.f64 #s(literal 2 binary64) (*.f64 f (*.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))) #s(literal 1/2 binary64)))))
(/.f64 #s(literal 2 binary64) (*.f64 f (*.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))) #s(literal 1/2 binary64))))
#s(literal 2 binary64)
(*.f64 f (*.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))) #s(literal 1/2 binary64)))
f
(*.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))) #s(literal 1/2 binary64))
(*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)))
(sqrt.f64 (PI.f64))
#s(literal 1/2 binary64)
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) (log.f64 (*.f64 f (fma.f64 (fma.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal -1/32 binary64)) #s(literal -1/8 binary64) (fma.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal -1/768 binary64) (*.f64 #s(literal -1/128 binary64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))))) (*.f64 f f) (*.f64 #s(literal 1/4 binary64) (PI.f64)))))))
#s(literal 1 binary64)
(/.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) (log.f64 (*.f64 f (fma.f64 (fma.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal -1/32 binary64)) #s(literal -1/8 binary64) (fma.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal -1/768 binary64) (*.f64 #s(literal -1/128 binary64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))))) (*.f64 f f) (*.f64 #s(literal 1/4 binary64) (PI.f64))))))
(*.f64 (PI.f64) #s(literal 1/4 binary64))
(PI.f64)
#s(literal 1/4 binary64)
(log.f64 (*.f64 f (fma.f64 (fma.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal -1/32 binary64)) #s(literal -1/8 binary64) (fma.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal -1/768 binary64) (*.f64 #s(literal -1/128 binary64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))))) (*.f64 f f) (*.f64 #s(literal 1/4 binary64) (PI.f64)))))
(*.f64 f (fma.f64 (fma.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal -1/32 binary64)) #s(literal -1/8 binary64) (fma.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal -1/768 binary64) (*.f64 #s(literal -1/128 binary64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))))) (*.f64 f f) (*.f64 #s(literal 1/4 binary64) (PI.f64))))
f
(fma.f64 (fma.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal -1/32 binary64)) #s(literal -1/8 binary64) (fma.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal -1/768 binary64) (*.f64 #s(literal -1/128 binary64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))))) (*.f64 f f) (*.f64 #s(literal 1/4 binary64) (PI.f64)))
(fma.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal -1/32 binary64)) #s(literal -1/8 binary64) (fma.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal -1/768 binary64) (*.f64 #s(literal -1/128 binary64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))))))
(*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal -1/32 binary64))
(*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))
(*.f64 (PI.f64) (PI.f64))
#s(literal -1/32 binary64)
#s(literal -1/8 binary64)
(fma.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal -1/768 binary64) (*.f64 #s(literal -1/128 binary64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))))
#s(literal -1/768 binary64)
(*.f64 #s(literal -1/128 binary64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))))
#s(literal -1/128 binary64)
(*.f64 f f)
(*.f64 #s(literal 1/4 binary64) (PI.f64))
Outputs
(/.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64)))) #s(literal 1/4 binary64)) f))) (*.f64 (PI.f64) #s(literal 1/4 binary64)))
(/.f64 (log.f64 (tanh.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (*.f64 (sqrt.f64 (sqrt.f64 (PI.f64))) (*.f64 #s(literal 1/4 binary64) f))))) (*.f64 (PI.f64) #s(literal 1/4 binary64)))
(log.f64 (tanh.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64)))) #s(literal 1/4 binary64)) f)))
(log.f64 (tanh.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (*.f64 (sqrt.f64 (sqrt.f64 (PI.f64))) (*.f64 #s(literal 1/4 binary64) f)))))
(tanh.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64)))) #s(literal 1/4 binary64)) f))
(tanh.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (*.f64 (sqrt.f64 (sqrt.f64 (PI.f64))) (*.f64 #s(literal 1/4 binary64) f))))
(*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64)))) #s(literal 1/4 binary64)) f)
(*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (*.f64 (sqrt.f64 (sqrt.f64 (PI.f64))) (*.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 (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)))
(PI.f64)
(sqrt.f64 (PI.f64))
(sqrt.f64 (sqrt.f64 (PI.f64)))
#s(literal 1/4 binary64)
f
(*.f64 (PI.f64) #s(literal 1/4 binary64))
(/.f64 (log.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))) (*.f64 (PI.f64) #s(literal 1/4 binary64)))
(/.f64 (log.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))) (*.f64 (PI.f64) #s(literal 1/4 binary64)))
(log.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64))))
(log.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))
(*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))
(*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))
f
(*.f64 #s(literal 1/4 binary64) (PI.f64))
(*.f64 (PI.f64) #s(literal 1/4 binary64))
#s(literal 1/4 binary64)
(PI.f64)
(*.f64 (PI.f64) #s(literal 1/4 binary64))
(neg.f64 (/.f64 (*.f64 (neg.f64 (log.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f)))) (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (PI.f64))))
(/.f64 (log.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))) (*.f64 (PI.f64) #s(literal 1/4 binary64)))
(/.f64 (*.f64 (neg.f64 (log.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f)))) (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (PI.f64)))
(/.f64 (log.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))) (*.f64 (PI.f64) #s(literal -1/4 binary64)))
(*.f64 (neg.f64 (log.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f)))) (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64))))
(/.f64 (log.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))) (*.f64 (sqrt.f64 (PI.f64)) #s(literal -1/4 binary64)))
(neg.f64 (log.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f))))
(neg.f64 (log.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))))
(log.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f)))
(log.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))
(*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f))
(*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))
#s(literal 1/4 binary64)
(*.f64 (PI.f64) f)
(PI.f64)
f
(/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64)))
#s(literal 4 binary64)
(sqrt.f64 (PI.f64))
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 #s(literal 2 binary64) (*.f64 f (*.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))) #s(literal 1/2 binary64)))))))
(/.f64 (log.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))) (*.f64 (PI.f64) #s(literal 1/4 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 #s(literal 2 binary64) (*.f64 f (*.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))) #s(literal 1/2 binary64))))))
(/.f64 (log.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))) (*.f64 (PI.f64) #s(literal -1/4 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64)))
(/.f64 #s(literal 4 binary64) (PI.f64))
#s(literal 1 binary64)
(/.f64 (PI.f64) #s(literal 4 binary64))
(*.f64 (PI.f64) #s(literal 1/4 binary64))
(PI.f64)
#s(literal 4 binary64)
(log.f64 (/.f64 #s(literal 2 binary64) (*.f64 f (*.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))) #s(literal 1/2 binary64)))))
(neg.f64 (log.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))))
(/.f64 #s(literal 2 binary64) (*.f64 f (*.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))) #s(literal 1/2 binary64))))
(/.f64 #s(literal 4 binary64) (*.f64 (PI.f64) f))
#s(literal 2 binary64)
(*.f64 f (*.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))) #s(literal 1/2 binary64)))
(*.f64 f (*.f64 (PI.f64) #s(literal 1/2 binary64)))
f
(*.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))) #s(literal 1/2 binary64))
(*.f64 (PI.f64) #s(literal 1/2 binary64))
(*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)))
(PI.f64)
(sqrt.f64 (PI.f64))
#s(literal 1/2 binary64)
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) (log.f64 (*.f64 f (fma.f64 (fma.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal -1/32 binary64)) #s(literal -1/8 binary64) (fma.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal -1/768 binary64) (*.f64 #s(literal -1/128 binary64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))))) (*.f64 f f) (*.f64 #s(literal 1/4 binary64) (PI.f64)))))))
(/.f64 (log.f64 (*.f64 f (fma.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (*.f64 (*.f64 f f) #s(literal -1/192 binary64)) (*.f64 (PI.f64) #s(literal 1/4 binary64))))) (*.f64 (PI.f64) #s(literal 1/4 binary64)))
#s(literal 1 binary64)
(/.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) (log.f64 (*.f64 f (fma.f64 (fma.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal -1/32 binary64)) #s(literal -1/8 binary64) (fma.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal -1/768 binary64) (*.f64 #s(literal -1/128 binary64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))))) (*.f64 f f) (*.f64 #s(literal 1/4 binary64) (PI.f64))))))
(/.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) (log.f64 (*.f64 f (fma.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (*.f64 (*.f64 f f) #s(literal -1/192 binary64)) (*.f64 (PI.f64) #s(literal 1/4 binary64))))))
(*.f64 (PI.f64) #s(literal 1/4 binary64))
(PI.f64)
#s(literal 1/4 binary64)
(log.f64 (*.f64 f (fma.f64 (fma.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal -1/32 binary64)) #s(literal -1/8 binary64) (fma.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal -1/768 binary64) (*.f64 #s(literal -1/128 binary64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))))) (*.f64 f f) (*.f64 #s(literal 1/4 binary64) (PI.f64)))))
(log.f64 (*.f64 f (fma.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (*.f64 (*.f64 f f) #s(literal -1/192 binary64)) (*.f64 (PI.f64) #s(literal 1/4 binary64)))))
(*.f64 f (fma.f64 (fma.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal -1/32 binary64)) #s(literal -1/8 binary64) (fma.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal -1/768 binary64) (*.f64 #s(literal -1/128 binary64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))))) (*.f64 f f) (*.f64 #s(literal 1/4 binary64) (PI.f64))))
(*.f64 f (fma.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (*.f64 (*.f64 f f) #s(literal -1/192 binary64)) (*.f64 (PI.f64) #s(literal 1/4 binary64))))
f
(fma.f64 (fma.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal -1/32 binary64)) #s(literal -1/8 binary64) (fma.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal -1/768 binary64) (*.f64 #s(literal -1/128 binary64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))))) (*.f64 f f) (*.f64 #s(literal 1/4 binary64) (PI.f64)))
(fma.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (*.f64 (*.f64 f f) #s(literal -1/192 binary64)) (*.f64 (PI.f64) #s(literal 1/4 binary64)))
(fma.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal -1/32 binary64)) #s(literal -1/8 binary64) (fma.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal -1/768 binary64) (*.f64 #s(literal -1/128 binary64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))))))
(*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal -1/192 binary64))))
(*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal -1/32 binary64))
(*.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal -1/32 binary64)))
(*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))
(*.f64 (PI.f64) (PI.f64))
#s(literal -1/32 binary64)
#s(literal -1/8 binary64)
(fma.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal -1/768 binary64) (*.f64 #s(literal -1/128 binary64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))))
(*.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal -7/768 binary64)))
#s(literal -1/768 binary64)
(*.f64 #s(literal -1/128 binary64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))))
(*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal -1/128 binary64))))
#s(literal -1/128 binary64)
(*.f64 f f)
(*.f64 #s(literal 1/4 binary64) (PI.f64))
(*.f64 (PI.f64) #s(literal 1/4 binary64))

localize209.0ms (1.1%)

Memory
-18.0MiB live, 415.3MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
✓accuracy99.5%
(/.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) (log.f64 (*.f64 f (fma.f64 (fma.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal -1/32 binary64)) #s(literal -1/8 binary64) (fma.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal -1/768 binary64) (*.f64 #s(literal -1/128 binary64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))))) (*.f64 f f) (*.f64 #s(literal 1/4 binary64) (PI.f64))))))
✓accuracy98.5%
(fma.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal -1/32 binary64)) #s(literal -1/8 binary64) (fma.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal -1/768 binary64) (*.f64 #s(literal -1/128 binary64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))))))
✓accuracy98.5%
(*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))
✓accuracy98.1%
(PI.f64)
✓accuracy99.3%
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 #s(literal 2 binary64) (*.f64 f (*.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))) #s(literal 1/2 binary64))))))
✓accuracy98.5%
(*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)))
✓accuracy98.5%
(sqrt.f64 (PI.f64))
✓accuracy98.1%
(PI.f64)
✓accuracy99.6%
(*.f64 (PI.f64) f)
✓accuracy99.6%
(/.f64 (*.f64 (neg.f64 (log.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f)))) (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (PI.f64)))
✓accuracy98.5%
(sqrt.f64 (PI.f64))
✓accuracy98.1%
(PI.f64)
✓accuracy100.0%
(log.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64))))
✓accuracy99.6%
(*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))
✓accuracy99.5%
(/.f64 (log.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))) (*.f64 (PI.f64) #s(literal 1/4 binary64)))
✓accuracy98.1%
(PI.f64)
✓accuracy99.5%
(/.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64)))) #s(literal 1/4 binary64)) f))) (*.f64 (PI.f64) #s(literal 1/4 binary64)))
✓accuracy98.5%
(*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64))))
✓accuracy98.5%
(sqrt.f64 (PI.f64))
✓accuracy98.1%
(PI.f64)
Samples
109.0ms251×0valid
2.0ms5×0invalid
Compiler

Compiled 569 to 60 computations (89.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 83.0ms
ival-mult: 31.0ms (37.3% of total)
ival-div: 15.0ms (18.1% of total)
ival-log: 15.0ms (18.1% of total)
const: 7.0ms (8.4% of total)
ival-sqrt: 5.0ms (6% of total)
ival-add: 3.0ms (3.6% of total)
ival-neg: 3.0ms (3.6% of total)
ival-pi: 1.0ms (1.2% of total)
ival-tanh: 1.0ms (1.2% of total)
exact: 1.0ms (1.2% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series137.0ms (0.7%)

Memory
14.7MiB live, 213.1MiB allocated
Counts
26 → 192
Calls
Call 1
Inputs
#<alt (/.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64)))) #s(literal 1/4 binary64)) f))) (*.f64 (PI.f64) #s(literal 1/4 binary64)))>
#<alt (log.f64 (tanh.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64)))) #s(literal 1/4 binary64)) f)))>
#<alt (tanh.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64)))) #s(literal 1/4 binary64)) f))>
#<alt (*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64)))) #s(literal 1/4 binary64)) f)>
#<alt (/.f64 (log.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))) (*.f64 (PI.f64) #s(literal 1/4 binary64)))>
#<alt (log.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64))))>
#<alt (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))>
#<alt (*.f64 #s(literal 1/4 binary64) (PI.f64))>
#<alt (/.f64 (*.f64 (neg.f64 (log.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f)))) (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (PI.f64)))>
#<alt (neg.f64 (/.f64 (*.f64 (neg.f64 (log.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f)))) (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (PI.f64))))>
#<alt (*.f64 (neg.f64 (log.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f)))) (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64))))>
#<alt (neg.f64 (log.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f))))>
#<alt (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)))>
#<alt (/.f64 (PI.f64) #s(literal 4 binary64))>
#<alt (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64)))>
#<alt (/.f64 #s(literal 2 binary64) (*.f64 f (*.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))) #s(literal 1/2 binary64))))>
#<alt (fma.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal -1/32 binary64)) #s(literal -1/8 binary64) (fma.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal -1/768 binary64) (*.f64 #s(literal -1/128 binary64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))))))>
#<alt (fma.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal -1/768 binary64) (*.f64 #s(literal -1/128 binary64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))))>
#<alt (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) (log.f64 (*.f64 f (fma.f64 (fma.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal -1/32 binary64)) #s(literal -1/8 binary64) (fma.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal -1/768 binary64) (*.f64 #s(literal -1/128 binary64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))))) (*.f64 f f) (*.f64 #s(literal 1/4 binary64) (PI.f64)))))))>
#<alt (/.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) (log.f64 (*.f64 f (fma.f64 (fma.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal -1/32 binary64)) #s(literal -1/8 binary64) (fma.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal -1/768 binary64) (*.f64 #s(literal -1/128 binary64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))))) (*.f64 f f) (*.f64 #s(literal 1/4 binary64) (PI.f64))))))>
#<alt (PI.f64)>
#<alt (sqrt.f64 (PI.f64))>
#<alt (*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64))))>
#<alt (*.f64 (PI.f64) f)>
#<alt (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 #s(literal 2 binary64) (*.f64 f (*.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))) #s(literal 1/2 binary64))))))>
#<alt (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))>
Outputs
#<alt (* 4 (/ (+ (log f) (log (* 1/4 (PI)))) (PI)))>
#<alt (+ (* 4 (/ (+ (log f) (log (* 1/4 (PI)))) (PI))) (* 8 (/ (* f (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2)))) (pow (PI) 2))))>
#<alt (+ (* 4 (/ (+ (log f) (log (* 1/4 (PI)))) (PI))) (* f (+ (* 2 (/ (* f (+ (* -4 (/ (pow (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) 2) (pow (PI) 2))) (* 8 (/ (- (* 1/2 (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (+ (* -1/128 (pow (PI) 3)) (* 1/192 (pow (PI) 3))))) (* 1/128 (pow (PI) 3))) (PI))))) (PI))) (* 8 (/ (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) (pow (PI) 2))))))>
#<alt (+ (* 4 (/ (+ (log f) (log (* 1/4 (PI)))) (PI))) (* f (+ (* 8 (/ (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) (pow (PI) 2))) (* f (+ (* 2/3 (/ (* f (+ (* -48 (/ (* (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) (- (* 1/2 (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (+ (* -1/128 (pow (PI) 3)) (* 1/192 (pow (PI) 3))))) (* 1/128 (pow (PI) 3)))) (pow (PI) 2))) (+ (* 16 (/ (pow (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) 3) (pow (PI) 3))) (* 24 (/ (- (* 1/2 (+ (* -1/4 (* (PI) (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (+ (* -1/128 (pow (PI) 3)) (* 1/384 (pow (PI) 3)))))) (+ (* -1/32 (* (pow (PI) 2) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (+ (* -1/1536 (pow (PI) 4)) (* 1/3072 (pow (PI) 4)))))) (+ (* -1/8 (* (PI) (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (* -1/128 (pow (PI) 3))))) (* 1/64 (* (pow (PI) 2) (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))))))) (PI)))))) (PI))) (* 2 (/ (+ (* -4 (/ (pow (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) 2) (pow (PI) 2))) (* 8 (/ (- (* 1/2 (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (+ (* -1/128 (pow (PI) 3)) (* 1/192 (pow (PI) 3))))) (* 1/128 (pow (PI) 3))) (PI)))) (PI))))))))>
#<alt (* 4 (/ (log (/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))) (PI)))>
#<alt (* 4 (/ (log (/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))) (PI)))>
#<alt (* 4 (/ (log (/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))) (PI)))>
#<alt (* 4 (/ (log (/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))) (PI)))>
#<alt (* 4 (/ (log (/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))) (PI)))>
#<alt (* 4 (/ (log (/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))) (PI)))>
#<alt (* 4 (/ (log (/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))) (PI)))>
#<alt (* 4 (/ (log (/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))) (PI)))>
#<alt (+ (log f) (log (* 1/4 (PI))))>
#<alt (+ (log f) (+ (log (* 1/4 (PI))) (* 2 (/ (* f (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2)))) (PI)))))>
#<alt (+ (log f) (+ (log (* 1/4 (PI))) (* f (+ (* 1/2 (* f (+ (* -4 (/ (pow (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) 2) (pow (PI) 2))) (* 8 (/ (- (* 1/2 (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (+ (* -1/128 (pow (PI) 3)) (* 1/192 (pow (PI) 3))))) (* 1/128 (pow (PI) 3))) (PI)))))) (* 2 (/ (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) (PI)))))))>
#<alt (+ (log f) (+ (log (* 1/4 (PI))) (* f (+ (* 2 (/ (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) (PI))) (* f (+ (* 1/6 (* f (+ (* -48 (/ (* (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) (- (* 1/2 (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (+ (* -1/128 (pow (PI) 3)) (* 1/192 (pow (PI) 3))))) (* 1/128 (pow (PI) 3)))) (pow (PI) 2))) (+ (* 16 (/ (pow (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) 3) (pow (PI) 3))) (* 24 (/ (- (* 1/2 (+ (* -1/4 (* (PI) (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (+ (* -1/128 (pow (PI) 3)) (* 1/384 (pow (PI) 3)))))) (+ (* -1/32 (* (pow (PI) 2) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (+ (* -1/1536 (pow (PI) 4)) (* 1/3072 (pow (PI) 4)))))) (+ (* -1/8 (* (PI) (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (* -1/128 (pow (PI) 3))))) (* 1/64 (* (pow (PI) 2) (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))))))) (PI))))))) (* 1/2 (+ (* -4 (/ (pow (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) 2) (pow (PI) 2))) (* 8 (/ (- (* 1/2 (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (+ (* -1/128 (pow (PI) 3)) (* 1/192 (pow (PI) 3))))) (* 1/128 (pow (PI) 3))) (PI)))))))))))>
#<alt (log (/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI))))))))>
#<alt (log (/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI))))))))>
#<alt (log (/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI))))))))>
#<alt (log (/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI))))))))>
#<alt (log (/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI))))))))>
#<alt (log (/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI))))))))>
#<alt (log (/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI))))))))>
#<alt (log (/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI))))))))>
#<alt (* 1/4 (* f (PI)))>
#<alt (* f (+ (* 1/4 (PI)) (* 1/2 (* f (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2)))))))>
#<alt (* f (+ (* 1/4 (PI)) (* f (+ (* 1/2 (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2)))) (* f (- (* 1/2 (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (+ (* -1/128 (pow (PI) 3)) (* 1/192 (pow (PI) 3))))) (* 1/128 (pow (PI) 3))))))))>
#<alt (* f (+ (* 1/4 (PI)) (* f (+ (* 1/2 (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2)))) (* f (- (+ (* 1/2 (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (+ (* -1/128 (pow (PI) 3)) (* 1/192 (pow (PI) 3))))) (* f (- (* 1/2 (+ (* -1/4 (* (PI) (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (+ (* -1/128 (pow (PI) 3)) (* 1/384 (pow (PI) 3)))))) (+ (* -1/32 (* (pow (PI) 2) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (+ (* -1/1536 (pow (PI) 4)) (* 1/3072 (pow (PI) 4)))))) (+ (* -1/8 (* (PI) (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (* -1/128 (pow (PI) 3))))) (* 1/64 (* (pow (PI) 2) (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))))))))) (* 1/128 (pow (PI) 3))))))))>
#<alt (/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))>
#<alt (/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))>
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#<alt (+ (* -1/4 (/ (+ (* -1/4 (/ (* (PI) (+ (* -1/16 (/ (pow (PI) 3) (* (pow (+ (log (* -1 (+ (* -1/128 (pow (PI) 3)) (+ (* -1/768 (pow (PI) 3)) (* 1/256 (pow (PI) 3)))))) (* -3 (log (/ -1 f)))) 3) (pow (+ (* -1/128 (pow (PI) 3)) (+ (* -1/768 (pow (PI) 3)) (* 1/256 (pow (PI) 3)))) 2)))) (* -1/32 (/ (pow (PI) 3) (* (pow (+ (log (* -1 (+ (* -1/128 (pow (PI) 3)) (+ (* -1/768 (pow (PI) 3)) (* 1/256 (pow (PI) 3)))))) (* -3 (log (/ -1 f)))) 2) (pow (+ (* -1/128 (pow (PI) 3)) (+ (* -1/768 (pow (PI) 3)) (* 1/256 (pow (PI) 3)))) 2)))))) (* (+ (log (* -1 (+ (* -1/128 (pow (PI) 3)) (+ (* -1/768 (pow (PI) 3)) (* 1/256 (pow (PI) 3)))))) (* -3 (log (/ -1 f)))) (+ (* -1/128 (pow (PI) 3)) (+ (* -1/768 (pow (PI) 3)) (* 1/256 (pow (PI) 3))))))) (+ (* 1/192 (/ (pow (PI) 4) (* (pow (+ (log (* -1 (+ (* -1/128 (pow (PI) 3)) (+ (* -1/768 (pow (PI) 3)) (* 1/256 (pow (PI) 3)))))) (* -3 (log (/ -1 f)))) 2) (pow (+ (* -1/128 (pow (PI) 3)) (+ (* -1/768 (pow (PI) 3)) (* 1/256 (pow (PI) 3)))) 3)))) (* 1/128 (/ (pow (PI) 4) (* (pow (+ (log (* -1 (+ (* -1/128 (pow (PI) 3)) (+ (* -1/768 (pow (PI) 3)) (* 1/256 (pow (PI) 3)))))) (* -3 (log (/ -1 f)))) 3) (pow (+ (* -1/128 (pow (PI) 3)) (+ (* -1/768 (pow (PI) 3)) (* 1/256 (pow (PI) 3)))) 3)))))) (pow f 6))) (+ (* -1/4 (/ (+ (* -1/16 (/ (pow (PI) 3) (* (pow (+ (log (* -1 (+ (* -1/128 (pow (PI) 3)) (+ (* -1/768 (pow (PI) 3)) (* 1/256 (pow (PI) 3)))))) (* -3 (log (/ -1 f)))) 3) (pow (+ (* -1/128 (pow (PI) 3)) (+ (* -1/768 (pow (PI) 3)) (* 1/256 (pow (PI) 3)))) 2)))) (* -1/32 (/ (pow (PI) 3) (* (pow (+ (log (* -1 (+ (* -1/128 (pow (PI) 3)) (+ (* -1/768 (pow (PI) 3)) (* 1/256 (pow (PI) 3)))))) (* -3 (log (/ -1 f)))) 2) (pow (+ (* -1/128 (pow (PI) 3)) (+ (* -1/768 (pow (PI) 3)) (* 1/256 (pow (PI) 3)))) 2))))) (pow f 4))) (+ (* -1/16 (/ (pow (PI) 2) (* (pow f 2) (* (pow (+ (log (* -1 (+ (* -1/128 (pow (PI) 3)) (+ (* -1/768 (pow (PI) 3)) (* 1/256 (pow (PI) 3)))))) (* -3 (log (/ -1 f)))) 2) (+ (* -1/128 (pow (PI) 3)) (+ (* -1/768 (pow (PI) 3)) (* 1/256 (pow (PI) 3)))))))) (* 1/4 (/ (PI) (+ (log (* -1 (+ (* -1/128 (pow (PI) 3)) (+ (* -1/768 (pow (PI) 3)) (* 1/256 (pow (PI) 3)))))) (* -3 (log (/ -1 f)))))))))>
#<alt (* f (PI))>
#<alt (* f (PI))>
#<alt (* f (PI))>
#<alt (* f (PI))>
#<alt (* f (PI))>
#<alt (* f (PI))>
#<alt (* f (PI))>
#<alt (* f (PI))>
#<alt (* f (PI))>
#<alt (* f (PI))>
#<alt (* f (PI))>
#<alt (* f (PI))>
#<alt (* 4 (/ (+ (log (/ 4 (PI))) (* -1 (log f))) (PI)))>
#<alt (* 4 (/ (+ (log (/ 4 (PI))) (* -1 (log f))) (PI)))>
#<alt (* 4 (/ (+ (log (/ 4 (PI))) (* -1 (log f))) (PI)))>
#<alt (* 4 (/ (+ (log (/ 4 (PI))) (* -1 (log f))) (PI)))>
#<alt (* 4 (/ (+ (log (/ 1 f)) (log (/ 4 (PI)))) (PI)))>
#<alt (* 4 (/ (+ (log (/ 1 f)) (log (/ 4 (PI)))) (PI)))>
#<alt (* 4 (/ (+ (log (/ 1 f)) (log (/ 4 (PI)))) (PI)))>
#<alt (* 4 (/ (+ (log (/ 1 f)) (log (/ 4 (PI)))) (PI)))>
#<alt (* 4 (/ (+ (log (/ -4 (PI))) (log (/ -1 f))) (PI)))>
#<alt (* 4 (/ (+ (log (/ -4 (PI))) (log (/ -1 f))) (PI)))>
#<alt (* 4 (/ (+ (log (/ -4 (PI))) (log (/ -1 f))) (PI)))>
#<alt (* 4 (/ (+ (log (/ -4 (PI))) (log (/ -1 f))) (PI)))>
Calls

48 calls:

TimeVariablePointExpression
79.0ms
f
@0
(/ (log (* f (* 1/4 (PI)))) (* (PI) 1/4))
24.0ms
f
@-inf
(/ (log (* f (* 1/4 (PI)))) (* (PI) 1/4))
10.0ms
f
@inf
(/ (log (* f (* 1/4 (PI)))) (* (PI) 1/4))
5.0ms
f
@-inf
(/ (* (PI) 1/4) (log (* f (+ (* (+ (* (* (* (PI) (* (PI) (PI))) -1/32) -1/8) (+ (* (* (PI) (* (PI) (PI))) -1/768) (* -1/128 (* (PI) (* (PI) (PI)))))) (* f f)) (* 1/4 (PI))))))
3.0ms
f
@inf
(/ (* (PI) 1/4) (log (* f (+ (* (+ (* (* (* (PI) (* (PI) (PI))) -1/32) -1/8) (+ (* (* (PI) (* (PI) (PI))) -1/768) (* -1/128 (* (PI) (* (PI) (PI)))))) (* f f)) (* 1/4 (PI))))))

rewrite381.0ms (2%)

Memory
-11.9MiB live, 712.7MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
4 160×lower-*.f32
4 142×lower-fma.f32
4 136×lower-fma.f64
4 122×lower-*.f64
3 310×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
054310
0101261
1351188
22189188
08409185
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
26 → 1 216
Calls
Call 1
Inputs
(/.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64)))) #s(literal 1/4 binary64)) f))) (*.f64 (PI.f64) #s(literal 1/4 binary64)))
(log.f64 (tanh.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64)))) #s(literal 1/4 binary64)) f)))
(tanh.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64)))) #s(literal 1/4 binary64)) f))
(*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64)))) #s(literal 1/4 binary64)) f)
(/.f64 (log.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))) (*.f64 (PI.f64) #s(literal 1/4 binary64)))
(log.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64))))
(*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))
(*.f64 #s(literal 1/4 binary64) (PI.f64))
(/.f64 (*.f64 (neg.f64 (log.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f)))) (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (PI.f64)))
(neg.f64 (/.f64 (*.f64 (neg.f64 (log.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f)))) (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (PI.f64))))
(*.f64 (neg.f64 (log.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f)))) (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64))))
(neg.f64 (log.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f))))
(*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)))
(/.f64 (PI.f64) #s(literal 4 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64)))
(/.f64 #s(literal 2 binary64) (*.f64 f (*.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))) #s(literal 1/2 binary64))))
(fma.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal -1/32 binary64)) #s(literal -1/8 binary64) (fma.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal -1/768 binary64) (*.f64 #s(literal -1/128 binary64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))))))
(fma.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal -1/768 binary64) (*.f64 #s(literal -1/128 binary64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) (log.f64 (*.f64 f (fma.f64 (fma.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal -1/32 binary64)) #s(literal -1/8 binary64) (fma.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal -1/768 binary64) (*.f64 #s(literal -1/128 binary64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))))) (*.f64 f f) (*.f64 #s(literal 1/4 binary64) (PI.f64)))))))
(/.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) (log.f64 (*.f64 f (fma.f64 (fma.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal -1/32 binary64)) #s(literal -1/8 binary64) (fma.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal -1/768 binary64) (*.f64 #s(literal -1/128 binary64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))))) (*.f64 f f) (*.f64 #s(literal 1/4 binary64) (PI.f64))))))
(PI.f64)
(sqrt.f64 (PI.f64))
(*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64))))
(*.f64 (PI.f64) f)
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 #s(literal 2 binary64) (*.f64 f (*.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))) #s(literal 1/2 binary64))))))
(*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))
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 (/.f64 #s(literal 0 binary64) (*.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 (/.f64 (log.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))))) (*.f64 (PI.f64) #s(literal 1/4 binary64))) (/.f64 (log.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))))) (*.f64 (PI.f64) #s(literal 1/4 binary64))))
(-.f64 (/.f64 (log.f64 (expm1.f64 (*.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)) #s(literal 2 binary64)))) (*.f64 (PI.f64) #s(literal 1/4 binary64))) (/.f64 (log1p.f64 (exp.f64 (*.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)) #s(literal 2 binary64)))) (*.f64 (PI.f64) #s(literal 1/4 binary64))))
(-.f64 (/.f64 (log1p.f64 (neg.f64 (exp.f64 (*.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)) #s(literal -2 binary64))))) (*.f64 (PI.f64) #s(literal 1/4 binary64))) (/.f64 (log1p.f64 (exp.f64 (*.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)) #s(literal -2 binary64)))) (*.f64 (PI.f64) #s(literal 1/4 binary64))))
(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 #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 (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 (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))) (PI.f64)) #s(literal 1/4 binary64))
(/.f64 (neg.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 (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 (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 (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 (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))) #s(literal 1/4 binary64)) (PI.f64))
(/.f64 (neg.f64 (neg.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 (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 (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 (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 (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))) #s(literal 1/4 binary64))) (neg.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 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 (PI.f64) #s(literal 1/4 binary64))))
(*.f64 (neg.f64 (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))))) (/.f64 #s(literal 1 binary64) (*.f64 (PI.f64) #s(literal -1/4 binary64))))
(*.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))))
(*.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (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 (/.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) (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)))) #s(literal 1 binary64)) (/.f64 #s(literal 4 binary64) (PI.f64)))
(*.f64 (/.f64 (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))) #s(literal 1 binary64)) (/.f64 #s(literal 4 binary64) (PI.f64)))
(*.f64 (/.f64 (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))) (neg.f64 (PI.f64))) #s(literal -4 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 (log.f64 (expm1.f64 (*.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)) #s(literal 2 binary64)))) (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)) #s(literal 2 binary64)))))))
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(*.f64 (*.f64 (sqrt.f64 (PI.f64)) (*.f64 (PI.f64) (PI.f64))) (sqrt.f64 (PI.f64)))
(*.f64 (pow.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) #s(literal 3 binary64)) (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))))
(*.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (PI.f64))) #s(literal 6 binary64)) (pow.f64 (sqrt.f64 (sqrt.f64 (PI.f64))) #s(literal 6 binary64)))
(*.f64 (pow.f64 (*.f64 (sqrt.f64 (PI.f64)) (pow.f64 (PI.f64) #s(literal 2/3 binary64))) #s(literal 2 binary64)) (pow.f64 (PI.f64) #s(literal 2/3 binary64)))
(*.f64 (pow.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64))) #s(literal 3/2 binary64)) (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 3/2 binary64)) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))))
(*.f64 (pow.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) #s(literal 3/2 binary64)) (pow.f64 (pow.f64 (PI.f64) #s(literal 4/3 binary64)) #s(literal 3/2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (PI.f64)))) #s(literal 3/2 binary64)) (pow.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) #s(literal 3/2 binary64)))
(*.f64 (pow.f64 (*.f64 (PI.f64) (pow.f64 (PI.f64) #s(literal 2/3 binary64))) #s(literal 3/2 binary64)) (sqrt.f64 (PI.f64)))

simplify601.0ms (3.2%)

Memory
30.6MiB live, 740.0MiB allocated
Algorithm
1×egg-herbie
Rules
15 244×lower-fma.f64
15 244×lower-fma.f32
5 678×lower-+.f64
5 678×lower-+.f32
5 152×lower-*.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03764355
111903986
250623698
084813582
Stop Event
1×iter limit
1×node limit
Counts
192 → 192
Calls
Call 1
Inputs
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(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (log.f64 f))) (PI.f64))
(* 4 (/ (+ (log (/ 4 (PI))) (* -1 (log f))) (PI)))
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (log.f64 f))) (PI.f64))
(* 4 (/ (+ (log (/ 1 f)) (log (/ 4 (PI)))) (PI)))
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (log.f64 f))) (PI.f64))
(* 4 (/ (+ (log (/ 1 f)) (log (/ 4 (PI)))) (PI)))
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (log.f64 f))) (PI.f64))
(* 4 (/ (+ (log (/ 1 f)) (log (/ 4 (PI)))) (PI)))
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (log.f64 f))) (PI.f64))
(* 4 (/ (+ (log (/ 1 f)) (log (/ 4 (PI)))) (PI)))
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (log.f64 f))) (PI.f64))
(* 4 (/ (+ (log (/ -4 (PI))) (log (/ -1 f))) (PI)))
(/.f64 (*.f64 #s(literal 4 binary64) (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) f)) (log.f64 (/.f64 #s(literal -4 binary64) (PI.f64))))) (PI.f64))
(* 4 (/ (+ (log (/ -4 (PI))) (log (/ -1 f))) (PI)))
(/.f64 (*.f64 #s(literal 4 binary64) (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) f)) (log.f64 (/.f64 #s(literal -4 binary64) (PI.f64))))) (PI.f64))
(* 4 (/ (+ (log (/ -4 (PI))) (log (/ -1 f))) (PI)))
(/.f64 (*.f64 #s(literal 4 binary64) (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) f)) (log.f64 (/.f64 #s(literal -4 binary64) (PI.f64))))) (PI.f64))
(* 4 (/ (+ (log (/ -4 (PI))) (log (/ -1 f))) (PI)))
(/.f64 (*.f64 #s(literal 4 binary64) (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) f)) (log.f64 (/.f64 #s(literal -4 binary64) (PI.f64))))) (PI.f64))

eval902.0ms (4.7%)

Memory
8.4MiB live, 618.3MiB allocated
Compiler

Compiled 89 635 to 14 892 computations (83.4% saved)

prune535.0ms (2.8%)

Memory
0.4MiB live, 643.9MiB allocated
Pruning

15 alts after pruning (12 fresh and 3 done)

PrunedKeptTotal
New3 002103 012
Fresh628
Picked235
Done000
Total3 010153 025
Accuracy
100.0%
Counts
3 025 → 15
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶96.6%
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (*.f64 (PI.f64) #s(literal -1/4 binary64))) (*.f64 (*.f64 (PI.f64) #s(literal -1/4 binary64)) (log.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/16 binary64)))
97.2%
(/.f64 (log.f64 (*.f64 f (fma.f64 f (*.f64 f (fma.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/256 binary64) (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal -7/768 binary64)))) (*.f64 (PI.f64) #s(literal 1/4 binary64))))) (*.f64 (PI.f64) #s(literal 1/4 binary64)))
96.6%
(/.f64 (log.f64 (*.f64 f (*.f64 (*.f64 #s(literal 1/4 binary64) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64))))) (*.f64 (PI.f64) #s(literal 1/4 binary64)))
96.1%
(/.f64 (log.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64)))) #s(literal 1/4 binary64)))
▶95.5%
(/.f64 (log.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))) (*.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))) #s(literal 1/4 binary64)))
✓96.6%
(/.f64 (log.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))) (*.f64 (PI.f64) #s(literal 1/4 binary64)))
✓99.5%
(/.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64)))) #s(literal 1/4 binary64)) f))) (*.f64 (PI.f64) #s(literal 1/4 binary64)))
96.5%
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) (log.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))))
97.1%
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) (log.f64 (*.f64 f (fma.f64 (fma.f64 (*.f64 (*.f64 (PI.f64) #s(literal -1/128 binary64)) (PI.f64)) (PI.f64) (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/384 binary64))) (*.f64 f f) (*.f64 #s(literal 1/4 binary64) (PI.f64)))))))
96.3%
(*.f64 (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64))) (/.f64 (log.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))) (sqrt.f64 (PI.f64))))
▶96.4%
(*.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (log.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))))
▶99.3%
(*.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))))
✓96.4%
(neg.f64 (/.f64 (*.f64 (neg.f64 (log.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f)))) (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (PI.f64))))
▶96.6%
(neg.f64 (*.f64 (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64))) (*.f64 (neg.f64 (log.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64))))))
97.1%
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (fma.f64 f (*.f64 f (fma.f64 (*.f64 (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))))
Compiler

Compiled 504 to 351 computations (30.4% saved)

simplify312.0ms (1.6%)

Memory
1.9MiB live, 316.8MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64)))
✓cost-diff128
(neg.f64 (*.f64 (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64))) (*.f64 (neg.f64 (log.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64))))))
✓cost-diff320
(*.f64 (neg.f64 (log.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64))))
✓cost-diff2112
(*.f64 (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64))) (*.f64 (neg.f64 (log.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64)))))
✓cost-diff0
(*.f64 (PI.f64) #s(literal -1/4 binary64))
✓cost-diff192
(-.f64 (*.f64 #s(literal 0 binary64) (*.f64 (PI.f64) #s(literal -1/4 binary64))) (*.f64 (*.f64 (PI.f64) #s(literal -1/4 binary64)) (log.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))))
✓cost-diff640
(*.f64 #s(literal 0 binary64) (*.f64 (PI.f64) #s(literal -1/4 binary64)))
✓cost-diff960
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (*.f64 (PI.f64) #s(literal -1/4 binary64))) (*.f64 (*.f64 (PI.f64) #s(literal -1/4 binary64)) (log.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/16 binary64)))
✓cost-diff0
(*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))
✓cost-diff0
(log.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64))))
✓cost-diff0
(/.f64 (log.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))) (*.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))) #s(literal 1/4 binary64)))
✓cost-diff1600
(*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)))
✓cost-diff0
(log.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))
✓cost-diff0
(PI.f64)
✓cost-diff0
(/.f64 #s(literal 4 binary64) (PI.f64))
✓cost-diff0
(*.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (log.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))))
✓cost-diff0
(log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))
✓cost-diff0
(PI.f64)
✓cost-diff0
(/.f64 #s(literal 4 binary64) (PI.f64))
✓cost-diff0
(*.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))))
Rules
3 924×lower-*.f32
3 894×lower-*.f64
2 934×lower-/.f32
2 924×lower-/.f64
1 394×lower-fma.f64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
038282
069242
1154236
2443231
31988231
45500231
08223231
Stop Event
1×iter limit
1×node limit
1×iter limit
Calls
Call 1
Inputs
(*.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))))
(/.f64 #s(literal 4 binary64) (PI.f64))
#s(literal 4 binary64)
(PI.f64)
(log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))
(tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))
(*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)
(*.f64 (PI.f64) #s(literal 1/4 binary64))
#s(literal 1/4 binary64)
f
(*.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (log.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))))
(/.f64 #s(literal 4 binary64) (PI.f64))
#s(literal 4 binary64)
(PI.f64)
(log.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))
(*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))
(*.f64 #s(literal 1/4 binary64) f)
#s(literal 1/4 binary64)
f
(/.f64 (log.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))) (*.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))) #s(literal 1/4 binary64)))
(log.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64))))
(*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))
f
(*.f64 #s(literal 1/4 binary64) (PI.f64))
#s(literal 1/4 binary64)
(PI.f64)
(*.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))) #s(literal 1/4 binary64))
(*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)))
(sqrt.f64 (PI.f64))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (*.f64 (PI.f64) #s(literal -1/4 binary64))) (*.f64 (*.f64 (PI.f64) #s(literal -1/4 binary64)) (log.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/16 binary64)))
(-.f64 (*.f64 #s(literal 0 binary64) (*.f64 (PI.f64) #s(literal -1/4 binary64))) (*.f64 (*.f64 (PI.f64) #s(literal -1/4 binary64)) (log.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))))
(*.f64 #s(literal 0 binary64) (*.f64 (PI.f64) #s(literal -1/4 binary64)))
#s(literal 0 binary64)
(*.f64 (PI.f64) #s(literal -1/4 binary64))
(PI.f64)
#s(literal -1/4 binary64)
(*.f64 (*.f64 (PI.f64) #s(literal -1/4 binary64)) (log.f64 (*.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 (PI.f64) (PI.f64)) #s(literal 1/16 binary64))
(*.f64 (PI.f64) (PI.f64))
#s(literal 1/16 binary64)
(neg.f64 (*.f64 (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64))) (*.f64 (neg.f64 (log.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64))))))
(*.f64 (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64))) (*.f64 (neg.f64 (log.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64)))))
(/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64)))
#s(literal 4 binary64)
(sqrt.f64 (PI.f64))
(PI.f64)
(*.f64 (neg.f64 (log.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (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 #s(literal 1 binary64) (sqrt.f64 (PI.f64)))
#s(literal 1 binary64)
Outputs
(*.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))))
(*.f64 (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))) (/.f64 #s(literal 4 binary64) (PI.f64)))
(/.f64 #s(literal 4 binary64) (PI.f64))
#s(literal 4 binary64)
(PI.f64)
(log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))
(log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))))
(tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))
(tanh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))
(*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)
(*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))
(*.f64 (PI.f64) #s(literal 1/4 binary64))
#s(literal 1/4 binary64)
f
(*.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (log.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))))
(*.f64 (log.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))) (/.f64 #s(literal 4 binary64) (PI.f64)))
(/.f64 #s(literal 4 binary64) (PI.f64))
#s(literal 4 binary64)
(PI.f64)
(log.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))
(*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))
(*.f64 #s(literal 1/4 binary64) f)
#s(literal 1/4 binary64)
f
(/.f64 (log.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))) (*.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))) #s(literal 1/4 binary64)))
(/.f64 (log.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))) (*.f64 (PI.f64) #s(literal 1/4 binary64)))
(log.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64))))
(log.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))
(*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))
(*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))
f
(*.f64 #s(literal 1/4 binary64) (PI.f64))
(*.f64 (PI.f64) #s(literal 1/4 binary64))
#s(literal 1/4 binary64)
(PI.f64)
(*.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))) #s(literal 1/4 binary64))
(*.f64 (PI.f64) #s(literal 1/4 binary64))
(*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)))
(PI.f64)
(sqrt.f64 (PI.f64))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (*.f64 (PI.f64) #s(literal -1/4 binary64))) (*.f64 (*.f64 (PI.f64) #s(literal -1/4 binary64)) (log.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/16 binary64)))
(*.f64 (log.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))) (/.f64 #s(literal 4 binary64) (PI.f64)))
(-.f64 (*.f64 #s(literal 0 binary64) (*.f64 (PI.f64) #s(literal -1/4 binary64))) (*.f64 (*.f64 (PI.f64) #s(literal -1/4 binary64)) (log.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))))
(*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) (log.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))))
(*.f64 #s(literal 0 binary64) (*.f64 (PI.f64) #s(literal -1/4 binary64)))
#s(literal 0 binary64)
#s(literal 0 binary64)
(*.f64 (PI.f64) #s(literal -1/4 binary64))
(PI.f64)
#s(literal -1/4 binary64)
(*.f64 (*.f64 (PI.f64) #s(literal -1/4 binary64)) (log.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))))
(*.f64 (log.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))) (*.f64 (PI.f64) #s(literal -1/4 binary64)))
(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 (PI.f64) (PI.f64)) #s(literal 1/16 binary64))
(*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/16 binary64)))
(*.f64 (PI.f64) (PI.f64))
#s(literal 1/16 binary64)
(neg.f64 (*.f64 (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64))) (*.f64 (neg.f64 (log.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64))))))
(*.f64 (log.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))) (/.f64 #s(literal 4 binary64) (PI.f64)))
(*.f64 (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64))) (*.f64 (neg.f64 (log.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64)))))
(*.f64 (log.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))) (/.f64 #s(literal -4 binary64) (PI.f64)))
(/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64)))
#s(literal 4 binary64)
(sqrt.f64 (PI.f64))
(PI.f64)
(*.f64 (neg.f64 (log.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64))))
(neg.f64 (/.f64 (log.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))) (sqrt.f64 (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 #s(literal 1 binary64) (sqrt.f64 (PI.f64)))
(/.f64 (sqrt.f64 (PI.f64)) (PI.f64))
#s(literal 1 binary64)

localize249.0ms (1.3%)

Memory
-14.0MiB live, 250.9MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
✓accuracy99.6%
(*.f64 (neg.f64 (log.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64))))
✓accuracy99.6%
(*.f64 (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64))) (*.f64 (neg.f64 (log.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64)))))
✓accuracy99.6%
(*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))
✓accuracy98.4%
(sqrt.f64 (PI.f64))
✓accuracy100.0%
(log.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))
✓accuracy99.6%
(*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))
✓accuracy99.4%
(*.f64 (*.f64 (PI.f64) #s(literal -1/4 binary64)) (log.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))))
✓accuracy99.3%
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (*.f64 (PI.f64) #s(literal -1/4 binary64))) (*.f64 (*.f64 (PI.f64) #s(literal -1/4 binary64)) (log.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/16 binary64)))
✓accuracy99.6%
(*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))
✓accuracy99.5%
(/.f64 (log.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))) (*.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))) #s(literal 1/4 binary64)))
✓accuracy98.4%
(*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)))
✓accuracy98.4%
(sqrt.f64 (PI.f64))
✓accuracy100.0%
(PI.f64)
✓accuracy100.0%
(log.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))
✓accuracy99.6%
(*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))
✓accuracy99.3%
(*.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (log.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))))
✓accuracy100.0%
(log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))
✓accuracy100.0%
(tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))
✓accuracy99.6%
(*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)
✓accuracy99.3%
(*.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))))
Samples
103.0ms251×0valid
5.0ms5×2valid
Compiler

Compiled 284 to 40 computations (85.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 80.0ms
ival-log: 33.0ms (41.4% of total)
ival-mult: 22.0ms (27.6% of total)
ival-div: 16.0ms (20.1% of total)
ival-tanh: 2.0ms (2.5% of total)
ival-sqrt: 2.0ms (2.5% of total)
ival-neg: 2.0ms (2.5% of total)
ival-pi: 1.0ms (1.3% of total)
ival-sub: 1.0ms (1.3% of total)
exact: 1.0ms (1.3% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series8.0ms (0%)

Memory
15.7MiB live, 15.7MiB allocated
Counts
23 → 192
Calls
Call 1
Inputs
#<alt (*.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))))>
#<alt (/.f64 #s(literal 4 binary64) (PI.f64))>
#<alt (PI.f64)>
#<alt (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))>
#<alt (*.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (log.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))))>
#<alt (log.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))>
#<alt (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)))>
#<alt (/.f64 (log.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))) (*.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))) #s(literal 1/4 binary64)))>
#<alt (log.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64))))>
#<alt (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))>
#<alt (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (*.f64 (PI.f64) #s(literal -1/4 binary64))) (*.f64 (*.f64 (PI.f64) #s(literal -1/4 binary64)) (log.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/16 binary64)))>
#<alt (*.f64 #s(literal 0 binary64) (*.f64 (PI.f64) #s(literal -1/4 binary64)))>
#<alt (-.f64 (*.f64 #s(literal 0 binary64) (*.f64 (PI.f64) #s(literal -1/4 binary64))) (*.f64 (*.f64 (PI.f64) #s(literal -1/4 binary64)) (log.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))))>
#<alt (*.f64 (PI.f64) #s(literal -1/4 binary64))>
#<alt (*.f64 (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64))) (*.f64 (neg.f64 (log.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64)))))>
#<alt (*.f64 (neg.f64 (log.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64))))>
#<alt (neg.f64 (*.f64 (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64))) (*.f64 (neg.f64 (log.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64))))))>
#<alt (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64)))>
#<alt (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)>
#<alt (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))>
#<alt (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))>
#<alt (sqrt.f64 (PI.f64))>
#<alt (*.f64 (*.f64 (PI.f64) #s(literal -1/4 binary64)) (log.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))))>
Outputs
#<alt (* 4 (/ (+ (log f) (log (* 1/4 (PI)))) (PI)))>
#<alt (+ (* 4 (/ (+ (log f) (log (* 1/4 (PI)))) (PI))) (* 8 (/ (* f (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2)))) (pow (PI) 2))))>
#<alt (+ (* 4 (/ (+ (log f) (log (* 1/4 (PI)))) (PI))) (* f (+ (* 2 (/ (* f (+ (* -4 (/ (pow (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) 2) (pow (PI) 2))) (* 8 (/ (- (* 1/2 (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (+ (* -1/128 (pow (PI) 3)) (* 1/192 (pow (PI) 3))))) (* 1/128 (pow (PI) 3))) (PI))))) (PI))) (* 8 (/ (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) (pow (PI) 2))))))>
#<alt (+ (* 4 (/ (+ (log f) (log (* 1/4 (PI)))) (PI))) (* f (+ (* 8 (/ (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) (pow (PI) 2))) (* f (+ (* 2/3 (/ (* f (+ (* -48 (/ (* (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) (- (* 1/2 (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (+ (* -1/128 (pow (PI) 3)) (* 1/192 (pow (PI) 3))))) (* 1/128 (pow (PI) 3)))) (pow (PI) 2))) (+ (* 16 (/ (pow (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) 3) (pow (PI) 3))) (* 24 (/ (- (* 1/2 (+ (* -1/4 (* (PI) (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (+ (* -1/128 (pow (PI) 3)) (* 1/384 (pow (PI) 3)))))) (+ (* -1/32 (* (pow (PI) 2) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (+ (* -1/1536 (pow (PI) 4)) (* 1/3072 (pow (PI) 4)))))) (+ (* -1/8 (* (PI) (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (* -1/128 (pow (PI) 3))))) (* 1/64 (* (pow (PI) 2) (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))))))) (PI)))))) (PI))) (* 2 (/ (+ (* -4 (/ (pow (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) 2) (pow (PI) 2))) (* 8 (/ (- (* 1/2 (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (+ (* -1/128 (pow (PI) 3)) (* 1/192 (pow (PI) 3))))) (* 1/128 (pow (PI) 3))) (PI)))) (PI))))))))>
#<alt (* 4 (/ (log (/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))) (PI)))>
#<alt (* 4 (/ (log (/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))) (PI)))>
#<alt (* 4 (/ (log (/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))) (PI)))>
#<alt (* 4 (/ (log (/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))) (PI)))>
#<alt (* 4 (/ (log (/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))) (PI)))>
#<alt (* 4 (/ (log (/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))) (PI)))>
#<alt (* 4 (/ (log (/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))) (PI)))>
#<alt (* 4 (/ (log (/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))) (PI)))>
#<alt (+ (log f) (log (* 1/4 (PI))))>
#<alt (+ (log f) (+ (log (* 1/4 (PI))) (* 2 (/ (* f (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2)))) (PI)))))>
#<alt (+ (log f) (+ (log (* 1/4 (PI))) (* f (+ (* 1/2 (* f (+ (* -4 (/ (pow (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) 2) (pow (PI) 2))) (* 8 (/ (- (* 1/2 (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (+ (* -1/128 (pow (PI) 3)) (* 1/192 (pow (PI) 3))))) (* 1/128 (pow (PI) 3))) (PI)))))) (* 2 (/ (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) (PI)))))))>
#<alt (+ (log f) (+ (log (* 1/4 (PI))) (* f (+ (* 2 (/ (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) (PI))) (* f (+ (* 1/6 (* f (+ (* -48 (/ (* (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) (- (* 1/2 (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (+ (* -1/128 (pow (PI) 3)) (* 1/192 (pow (PI) 3))))) (* 1/128 (pow (PI) 3)))) (pow (PI) 2))) (+ (* 16 (/ (pow (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) 3) (pow (PI) 3))) (* 24 (/ (- (* 1/2 (+ (* -1/4 (* (PI) (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (+ (* -1/128 (pow (PI) 3)) (* 1/384 (pow (PI) 3)))))) (+ (* -1/32 (* (pow (PI) 2) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (+ (* -1/1536 (pow (PI) 4)) (* 1/3072 (pow (PI) 4)))))) (+ (* -1/8 (* (PI) (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (* -1/128 (pow (PI) 3))))) (* 1/64 (* (pow (PI) 2) (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))))))) (PI))))))) (* 1/2 (+ (* -4 (/ (pow (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) 2) (pow (PI) 2))) (* 8 (/ (- (* 1/2 (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (+ (* -1/128 (pow (PI) 3)) (* 1/192 (pow (PI) 3))))) (* 1/128 (pow (PI) 3))) (PI)))))))))))>
#<alt (log (/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI))))))))>
#<alt (log (/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI))))))))>
#<alt (log (/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI))))))))>
#<alt (log (/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI))))))))>
#<alt (log (/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI))))))))>
#<alt (log (/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI))))))))>
#<alt (log (/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI))))))))>
#<alt (log (/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI))))))))>
#<alt (* 4 (/ (+ (log f) (log (* 1/4 (PI)))) (PI)))>
#<alt (* 4 (/ (+ (log f) (log (* 1/4 (PI)))) (PI)))>
#<alt (* 4 (/ (+ (log f) (log (* 1/4 (PI)))) (PI)))>
#<alt (* 4 (/ (+ (log f) (log (* 1/4 (PI)))) (PI)))>
#<alt (* 4 (/ (+ (log (* 1/4 (PI))) (* -1 (log (/ 1 f)))) (PI)))>
#<alt (* 4 (/ (+ (log (* 1/4 (PI))) (* -1 (log (/ 1 f)))) (PI)))>
#<alt (* 4 (/ (+ (log (* 1/4 (PI))) (* -1 (log (/ 1 f)))) (PI)))>
#<alt (* 4 (/ (+ (log (* 1/4 (PI))) (* -1 (log (/ 1 f)))) (PI)))>
#<alt (* 4 (/ (+ (log (* -1/4 (PI))) (* -1 (log (/ -1 f)))) (PI)))>
#<alt (* 4 (/ (+ (log (* -1/4 (PI))) (* -1 (log (/ -1 f)))) (PI)))>
#<alt (* 4 (/ (+ (log (* -1/4 (PI))) (* -1 (log (/ -1 f)))) (PI)))>
#<alt (* 4 (/ (+ (log (* -1/4 (PI))) (* -1 (log (/ -1 f)))) (PI)))>
#<alt (+ (log f) (log (* 1/4 (PI))))>
#<alt (+ (log f) (log (* 1/4 (PI))))>
#<alt (+ (log f) (log (* 1/4 (PI))))>
#<alt (+ (log f) (log (* 1/4 (PI))))>
#<alt (+ (log (* 1/4 (PI))) (* -1 (log (/ 1 f))))>
#<alt (+ (log (* 1/4 (PI))) (* -1 (log (/ 1 f))))>
#<alt (+ (log (* 1/4 (PI))) (* -1 (log (/ 1 f))))>
#<alt (+ (log (* 1/4 (PI))) (* -1 (log (/ 1 f))))>
#<alt (+ (log (* -1/4 (PI))) (* -1 (log (/ -1 f))))>
#<alt (+ (log (* -1/4 (PI))) (* -1 (log (/ -1 f))))>
#<alt (+ (log (* -1/4 (PI))) (* -1 (log (/ -1 f))))>
#<alt (+ (log (* -1/4 (PI))) (* -1 (log (/ -1 f))))>
#<alt (* 4 (/ (+ (log f) (log (* 1/4 (PI)))) (PI)))>
#<alt (* 4 (/ (+ (log f) (log (* 1/4 (PI)))) (PI)))>
#<alt (* 4 (/ (+ (log f) (log (* 1/4 (PI)))) (PI)))>
#<alt (* 4 (/ (+ (log f) (log (* 1/4 (PI)))) (PI)))>
#<alt (* 4 (/ (+ (log (* 1/4 (PI))) (* -1 (log (/ 1 f)))) (PI)))>
#<alt (* 4 (/ (+ (log (* 1/4 (PI))) (* -1 (log (/ 1 f)))) (PI)))>
#<alt (* 4 (/ (+ (log (* 1/4 (PI))) (* -1 (log (/ 1 f)))) (PI)))>
#<alt (* 4 (/ (+ (log (* 1/4 (PI))) (* -1 (log (/ 1 f)))) (PI)))>
#<alt (* 4 (/ (+ (log (* -1/4 (PI))) (* -1 (log (/ -1 f)))) (PI)))>
#<alt (* 4 (/ (+ (log (* -1/4 (PI))) (* -1 (log (/ -1 f)))) (PI)))>
#<alt (* 4 (/ (+ (log (* -1/4 (PI))) (* -1 (log (/ -1 f)))) (PI)))>
#<alt (* 4 (/ (+ (log (* -1/4 (PI))) (* -1 (log (/ -1 f)))) (PI)))>
#<alt (+ (log f) (log (* 1/4 (PI))))>
#<alt (+ (log f) (log (* 1/4 (PI))))>
#<alt (+ (log f) (log (* 1/4 (PI))))>
#<alt (+ (log f) (log (* 1/4 (PI))))>
#<alt (+ (log (* 1/4 (PI))) (* -1 (log (/ 1 f))))>
#<alt (+ (log (* 1/4 (PI))) (* -1 (log (/ 1 f))))>
#<alt (+ (log (* 1/4 (PI))) (* -1 (log (/ 1 f))))>
#<alt (+ (log (* 1/4 (PI))) (* -1 (log (/ 1 f))))>
#<alt (+ (log (* -1/4 (PI))) (* -1 (log (/ -1 f))))>
#<alt (+ (log (* -1/4 (PI))) (* -1 (log (/ -1 f))))>
#<alt (+ (log (* -1/4 (PI))) (* -1 (log (/ -1 f))))>
#<alt (+ (log (* -1/4 (PI))) (* -1 (log (/ -1 f))))>
#<alt (* 1/4 (* f (PI)))>
#<alt (* 1/4 (* f (PI)))>
#<alt (* 1/4 (* f (PI)))>
#<alt (* 1/4 (* f (PI)))>
#<alt (* 1/4 (* f (PI)))>
#<alt (* 1/4 (* f (PI)))>
#<alt (* 1/4 (* f (PI)))>
#<alt (* 1/4 (* f (PI)))>
#<alt (* 1/4 (* f (PI)))>
#<alt (* 1/4 (* f (PI)))>
#<alt (* 1/4 (* f (PI)))>
#<alt (* 1/4 (* f (PI)))>
#<alt (* 4 (/ (+ (log f) (log (* 1/4 (PI)))) (PI)))>
#<alt (* 4 (/ (+ (log f) (log (* 1/4 (PI)))) (PI)))>
#<alt (* 4 (/ (+ (log f) (log (* 1/4 (PI)))) (PI)))>
#<alt (* 4 (/ (+ (log f) (log (* 1/4 (PI)))) (PI)))>
#<alt (* 4 (/ (+ (log (* 1/4 (PI))) (* -1 (log (/ 1 f)))) (PI)))>
#<alt (* 4 (/ (+ (log (* 1/4 (PI))) (* -1 (log (/ 1 f)))) (PI)))>
#<alt (* 4 (/ (+ (log (* 1/4 (PI))) (* -1 (log (/ 1 f)))) (PI)))>
#<alt (* 4 (/ (+ (log (* 1/4 (PI))) (* -1 (log (/ 1 f)))) (PI)))>
#<alt (* 4 (/ (+ (log (* -1/4 (PI))) (* -1 (log (/ -1 f)))) (PI)))>
#<alt (* 4 (/ (+ (log (* -1/4 (PI))) (* -1 (log (/ -1 f)))) (PI)))>
#<alt (* 4 (/ (+ (log (* -1/4 (PI))) (* -1 (log (/ -1 f)))) (PI)))>
#<alt (* 4 (/ (+ (log (* -1/4 (PI))) (* -1 (log (/ -1 f)))) (PI)))>
#<alt (* 1/4 (* (PI) (+ (log f) (log (* 1/4 (PI))))))>
#<alt (* 1/4 (* (PI) (+ (log f) (log (* 1/4 (PI))))))>
#<alt (* 1/4 (* (PI) (+ (log f) (log (* 1/4 (PI))))))>
#<alt (* 1/4 (* (PI) (+ (log f) (log (* 1/4 (PI))))))>
#<alt (* 1/4 (* (PI) (+ (log (* 1/4 (PI))) (* -1 (log (/ 1 f))))))>
#<alt (* 1/4 (* (PI) (+ (log (* 1/4 (PI))) (* -1 (log (/ 1 f))))))>
#<alt (* 1/4 (* (PI) (+ (log (* 1/4 (PI))) (* -1 (log (/ 1 f))))))>
#<alt (* 1/4 (* (PI) (+ (log (* 1/4 (PI))) (* -1 (log (/ 1 f))))))>
#<alt (* 1/4 (* (PI) (+ (log (* -1/4 (PI))) (* -1 (log (/ -1 f))))))>
#<alt (* 1/4 (* (PI) (+ (log (* -1/4 (PI))) (* -1 (log (/ -1 f))))))>
#<alt (* 1/4 (* (PI) (+ (log (* -1/4 (PI))) (* -1 (log (/ -1 f))))))>
#<alt (* 1/4 (* (PI) (+ (log (* -1/4 (PI))) (* -1 (log (/ -1 f))))))>
#<alt (* -4 (/ (+ (log f) (log (* 1/4 (PI)))) (PI)))>
#<alt (* -4 (/ (+ (log f) (log (* 1/4 (PI)))) (PI)))>
#<alt (* -4 (/ (+ (log f) (log (* 1/4 (PI)))) (PI)))>
#<alt (* -4 (/ (+ (log f) (log (* 1/4 (PI)))) (PI)))>
#<alt (* -4 (/ (+ (log (* 1/4 (PI))) (* -1 (log (/ 1 f)))) (PI)))>
#<alt (* -4 (/ (+ (log (* 1/4 (PI))) (* -1 (log (/ 1 f)))) (PI)))>
#<alt (* -4 (/ (+ (log (* 1/4 (PI))) (* -1 (log (/ 1 f)))) (PI)))>
#<alt (* -4 (/ (+ (log (* 1/4 (PI))) (* -1 (log (/ 1 f)))) (PI)))>
#<alt (* -4 (/ (+ (log (* -1/4 (PI))) (* -1 (log (/ -1 f)))) (PI)))>
#<alt (* -4 (/ (+ (log (* -1/4 (PI))) (* -1 (log (/ -1 f)))) (PI)))>
#<alt (* -4 (/ (+ (log (* -1/4 (PI))) (* -1 (log (/ -1 f)))) (PI)))>
#<alt (* -4 (/ (+ (log (* -1/4 (PI))) (* -1 (log (/ -1 f)))) (PI)))>
#<alt (* -1 (* (sqrt (/ 1 (PI))) (+ (log f) (log (* 1/4 (PI))))))>
#<alt (* -1 (* (sqrt (/ 1 (PI))) (+ (log f) (log (* 1/4 (PI))))))>
#<alt (* -1 (* (sqrt (/ 1 (PI))) (+ (log f) (log (* 1/4 (PI))))))>
#<alt (* -1 (* (sqrt (/ 1 (PI))) (+ (log f) (log (* 1/4 (PI))))))>
#<alt (* -1 (* (sqrt (/ 1 (PI))) (+ (log (* 1/4 (PI))) (* -1 (log (/ 1 f))))))>
#<alt (* -1 (* (sqrt (/ 1 (PI))) (+ (log (* 1/4 (PI))) (* -1 (log (/ 1 f))))))>
#<alt (* -1 (* (sqrt (/ 1 (PI))) (+ (log (* 1/4 (PI))) (* -1 (log (/ 1 f))))))>
#<alt (* -1 (* (sqrt (/ 1 (PI))) (+ (log (* 1/4 (PI))) (* -1 (log (/ 1 f))))))>
#<alt (* -1 (* (sqrt (/ 1 (PI))) (+ (log (* -1/4 (PI))) (* -1 (log (/ -1 f))))))>
#<alt (* -1 (* (sqrt (/ 1 (PI))) (+ (log (* -1/4 (PI))) (* -1 (log (/ -1 f))))))>
#<alt (* -1 (* (sqrt (/ 1 (PI))) (+ (log (* -1/4 (PI))) (* -1 (log (/ -1 f))))))>
#<alt (* -1 (* (sqrt (/ 1 (PI))) (+ (log (* -1/4 (PI))) (* -1 (log (/ -1 f))))))>
#<alt (* 4 (/ (+ (log f) (log (* 1/4 (PI)))) (PI)))>
#<alt (* 4 (/ (+ (log f) (log (* 1/4 (PI)))) (PI)))>
#<alt (* 4 (/ (+ (log f) (log (* 1/4 (PI)))) (PI)))>
#<alt (* 4 (/ (+ (log f) (log (* 1/4 (PI)))) (PI)))>
#<alt (* 4 (/ (+ (log (* 1/4 (PI))) (* -1 (log (/ 1 f)))) (PI)))>
#<alt (* 4 (/ (+ (log (* 1/4 (PI))) (* -1 (log (/ 1 f)))) (PI)))>
#<alt (* 4 (/ (+ (log (* 1/4 (PI))) (* -1 (log (/ 1 f)))) (PI)))>
#<alt (* 4 (/ (+ (log (* 1/4 (PI))) (* -1 (log (/ 1 f)))) (PI)))>
#<alt (* 4 (/ (+ (log (* -1/4 (PI))) (* -1 (log (/ -1 f)))) (PI)))>
#<alt (* 4 (/ (+ (log (* -1/4 (PI))) (* -1 (log (/ -1 f)))) (PI)))>
#<alt (* 4 (/ (+ (log (* -1/4 (PI))) (* -1 (log (/ -1 f)))) (PI)))>
#<alt (* 4 (/ (+ (log (* -1/4 (PI))) (* -1 (log (/ -1 f)))) (PI)))>
#<alt (* 1/4 (* f (PI)))>
#<alt (* 1/4 (* f (PI)))>
#<alt (* 1/4 (* f (PI)))>
#<alt (* 1/4 (* f (PI)))>
#<alt (* 1/4 (* f (PI)))>
#<alt (* 1/4 (* f (PI)))>
#<alt (* 1/4 (* f (PI)))>
#<alt (* 1/4 (* f (PI)))>
#<alt (* 1/4 (* f (PI)))>
#<alt (* 1/4 (* f (PI)))>
#<alt (* 1/4 (* f (PI)))>
#<alt (* 1/4 (* f (PI)))>
#<alt (* 1/4 (* f (PI)))>
#<alt (* f (+ (* 1/4 (PI)) (* 1/2 (* f (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2)))))))>
#<alt (* f (+ (* 1/4 (PI)) (* f (+ (* 1/2 (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2)))) (* f (- (* 1/2 (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (+ (* -1/128 (pow (PI) 3)) (* 1/192 (pow (PI) 3))))) (* 1/128 (pow (PI) 3))))))))>
#<alt (* f (+ (* 1/4 (PI)) (* f (+ (* 1/2 (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2)))) (* f (- (+ (* 1/2 (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (+ (* -1/128 (pow (PI) 3)) (* 1/192 (pow (PI) 3))))) (* f (- (* 1/2 (+ (* -1/4 (* (PI) (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (+ (* -1/128 (pow (PI) 3)) (* 1/384 (pow (PI) 3)))))) (+ (* -1/32 (* (pow (PI) 2) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (+ (* -1/1536 (pow (PI) 4)) (* 1/3072 (pow (PI) 4)))))) (+ (* -1/8 (* (PI) (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (* -1/128 (pow (PI) 3))))) (* 1/64 (* (pow (PI) 2) (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))))))))) (* 1/128 (pow (PI) 3))))))))>
#<alt (/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))>
#<alt (/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))>
#<alt (/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))>
#<alt (/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))>
#<alt (/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))>
#<alt (/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))>
#<alt (/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))>
#<alt (/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))>
#<alt (* 1/4 (* f (PI)))>
#<alt (* 1/4 (* f (PI)))>
#<alt (* 1/4 (* f (PI)))>
#<alt (* 1/4 (* f (PI)))>
#<alt (* 1/4 (* f (PI)))>
#<alt (* 1/4 (* f (PI)))>
#<alt (* 1/4 (* f (PI)))>
#<alt (* 1/4 (* f (PI)))>
#<alt (* 1/4 (* f (PI)))>
#<alt (* 1/4 (* f (PI)))>
#<alt (* 1/4 (* f (PI)))>
#<alt (* 1/4 (* f (PI)))>
#<alt (* -1/4 (* (PI) (+ (log f) (log (* 1/4 (PI))))))>
#<alt (* -1/4 (* (PI) (+ (log f) (log (* 1/4 (PI))))))>
#<alt (* -1/4 (* (PI) (+ (log f) (log (* 1/4 (PI))))))>
#<alt (* -1/4 (* (PI) (+ (log f) (log (* 1/4 (PI))))))>
#<alt (* -1/4 (* (PI) (+ (log (* 1/4 (PI))) (* -1 (log (/ 1 f))))))>
#<alt (* -1/4 (* (PI) (+ (log (* 1/4 (PI))) (* -1 (log (/ 1 f))))))>
#<alt (* -1/4 (* (PI) (+ (log (* 1/4 (PI))) (* -1 (log (/ 1 f))))))>
#<alt (* -1/4 (* (PI) (+ (log (* 1/4 (PI))) (* -1 (log (/ 1 f))))))>
#<alt (* -1/4 (* (PI) (+ (log (* -1/4 (PI))) (* -1 (log (/ -1 f))))))>
#<alt (* -1/4 (* (PI) (+ (log (* -1/4 (PI))) (* -1 (log (/ -1 f))))))>
#<alt (* -1/4 (* (PI) (+ (log (* -1/4 (PI))) (* -1 (log (/ -1 f))))))>
#<alt (* -1/4 (* (PI) (+ (log (* -1/4 (PI))) (* -1 (log (/ -1 f))))))>
Calls

48 calls:

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

rewrite433.0ms (2.3%)

Memory
-1.2MiB live, 700.2MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
4 716×lower-*.f32
4 686×lower-*.f64
3 236×lower-fma.f64
3 236×lower-fma.f32
2 556×lower-/.f32
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
038193
069153
1236145
21459145
08810145
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
23 → 2 629
Calls
Call 1
Inputs
(*.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))))
(/.f64 #s(literal 4 binary64) (PI.f64))
(PI.f64)
(log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))
(*.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (log.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))))
(log.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))
(*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)))
(/.f64 (log.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))) (*.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))) #s(literal 1/4 binary64)))
(log.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64))))
(*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (*.f64 (PI.f64) #s(literal -1/4 binary64))) (*.f64 (*.f64 (PI.f64) #s(literal -1/4 binary64)) (log.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/16 binary64)))
(*.f64 #s(literal 0 binary64) (*.f64 (PI.f64) #s(literal -1/4 binary64)))
(-.f64 (*.f64 #s(literal 0 binary64) (*.f64 (PI.f64) #s(literal -1/4 binary64))) (*.f64 (*.f64 (PI.f64) #s(literal -1/4 binary64)) (log.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))))
(*.f64 (PI.f64) #s(literal -1/4 binary64))
(*.f64 (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64))) (*.f64 (neg.f64 (log.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64)))))
(*.f64 (neg.f64 (log.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64))))
(neg.f64 (*.f64 (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64))) (*.f64 (neg.f64 (log.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64))))))
(/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64)))
(*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)
(tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))
(*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))
(sqrt.f64 (PI.f64))
(*.f64 (*.f64 (PI.f64) #s(literal -1/4 binary64)) (log.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))))
Outputs
(-.f64 (/.f64 (log.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))))) (*.f64 (PI.f64) #s(literal 1/4 binary64))) (/.f64 (log.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))))) (*.f64 (PI.f64) #s(literal 1/4 binary64))))
(-.f64 (/.f64 (log.f64 (expm1.f64 (*.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)) #s(literal 2 binary64)))) (*.f64 (PI.f64) #s(literal 1/4 binary64))) (/.f64 (log1p.f64 (exp.f64 (*.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)) #s(literal 2 binary64)))) (*.f64 (PI.f64) #s(literal 1/4 binary64))))
(-.f64 (/.f64 (log1p.f64 (neg.f64 (exp.f64 (*.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)) #s(literal -2 binary64))))) (*.f64 (PI.f64) #s(literal 1/4 binary64))) (/.f64 (log1p.f64 (exp.f64 (*.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)) #s(literal -2 binary64)))) (*.f64 (PI.f64) #s(literal 1/4 binary64))))
(neg.f64 (*.f64 (/.f64 #s(literal -4 binary64) (PI.f64)) (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))))))
(neg.f64 (*.f64 (/.f64 #s(literal -4 binary64) (sqrt.f64 (PI.f64))) (/.f64 (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))) (sqrt.f64 (PI.f64)))))
(neg.f64 (*.f64 (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))) (/.f64 #s(literal -4 binary64) (PI.f64))))
(neg.f64 (/.f64 (*.f64 #s(literal 4 binary64) (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))))) (neg.f64 (PI.f64))))
(neg.f64 (/.f64 (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))) (*.f64 (PI.f64) #s(literal -1/4 binary64))))
(neg.f64 (/.f64 (*.f64 (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))) #s(literal -4 binary64)) (PI.f64)))
(/.f64 (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))) (*.f64 (PI.f64) #s(literal 1/4 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) (*.f64 #s(literal 4 binary64) (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (PI.f64) (*.f64 #s(literal 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 (sqrt.f64 (PI.f64)) (/.f64 (*.f64 #s(literal 4 binary64) (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))))) (sqrt.f64 (PI.f64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (cbrt.f64 (PI.f64)) (/.f64 (*.f64 #s(literal 4 binary64) (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))))) (pow.f64 (PI.f64) #s(literal 2/3 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (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 4 binary64) (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)))) #s(literal -4 binary64)) (neg.f64 (PI.f64)))
(/.f64 (/.f64 (*.f64 #s(literal 4 binary64) (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))))) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)))
(/.f64 (/.f64 (*.f64 #s(literal 4 binary64) (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))))) (pow.f64 (PI.f64) #s(literal 2/3 binary64))) (cbrt.f64 (PI.f64)))
(/.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 (neg.f64 (*.f64 (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))) #s(literal -4 binary64))) (PI.f64))
(/.f64 (neg.f64 (/.f64 (*.f64 #s(literal 4 binary64) (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))))) (sqrt.f64 (PI.f64)))) (neg.f64 (sqrt.f64 (PI.f64))))
(/.f64 (neg.f64 (/.f64 (*.f64 #s(literal 4 binary64) (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))))) (pow.f64 (PI.f64) #s(literal 2/3 binary64)))) (neg.f64 (cbrt.f64 (PI.f64))))
(pow.f64 (/.f64 (PI.f64) (*.f64 #s(literal 4 binary64) (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))))) #s(literal -1 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) (*.f64 (/.f64 #s(literal 1 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)) (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))))
(*.f64 (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))) (/.f64 #s(literal 4 binary64) (PI.f64)))
(*.f64 (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64))) (/.f64 (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))) (sqrt.f64 (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 (*.f64 #s(literal 4 binary64) (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))))) (/.f64 #s(literal 1 binary64) (PI.f64)))
(*.f64 (*.f64 (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))) #s(literal -4 binary64)) (/.f64 #s(literal -1 binary64) (PI.f64)))
(*.f64 (/.f64 #s(literal 4 binary64) (pow.f64 (PI.f64) #s(literal 2/3 binary64))) (/.f64 (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))) (cbrt.f64 (PI.f64))))
(*.f64 (/.f64 (*.f64 #s(literal 4 binary64) (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))))) (sqrt.f64 (PI.f64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64))))
(*.f64 (/.f64 (*.f64 #s(literal 4 binary64) (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))))) (pow.f64 (PI.f64) #s(literal 2/3 binary64))) (/.f64 #s(literal 1 binary64) (cbrt.f64 (PI.f64))))
(exp.f64 (*.f64 (log.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal -4 binary64) (PI.f64)))
(neg.f64 (/.f64 #s(literal -4 binary64) (PI.f64)))
(neg.f64 (*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 (PI.f64))) (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64)))))
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64))) (/.f64 #s(literal -4 binary64) (sqrt.f64 (PI.f64)))))
(neg.f64 (*.f64 (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64))) (/.f64 #s(literal -1 binary64) (sqrt.f64 (PI.f64)))))
(neg.f64 (/.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 (PI.f64))) (*.f64 #s(literal 1/4 binary64) (sqrt.f64 (PI.f64)))))
(/.f64 #s(literal 4 binary64) (PI.f64))
(/.f64 (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)))
(/.f64 #s(literal 1 binary64) (*.f64 (PI.f64) #s(literal 1/4 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (PI.f64))))
(/.f64 #s(literal 1 binary64) (/.f64 (cbrt.f64 (PI.f64)) (/.f64 #s(literal 4 binary64) (pow.f64 (PI.f64) #s(literal 2/3 binary64)))))
(/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64))) (*.f64 #s(literal 1/4 binary64) (sqrt.f64 (PI.f64))))
(/.f64 #s(literal -1 binary64) (*.f64 (PI.f64) #s(literal -1/4 binary64)))
(/.f64 #s(literal -4 binary64) (neg.f64 (PI.f64)))
(/.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) #s(literal 1/4 binary64))
(/.f64 (/.f64 #s(literal -4 binary64) (sqrt.f64 (PI.f64))) (neg.f64 (sqrt.f64 (PI.f64))))
(/.f64 (/.f64 #s(literal 4 binary64) (pow.f64 (PI.f64) #s(literal 2/3 binary64))) (cbrt.f64 (PI.f64)))
(/.f64 (/.f64 #s(literal -1 binary64) (PI.f64)) #s(literal -1/4 binary64))
(/.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 (PI.f64))) (*.f64 (sqrt.f64 (PI.f64)) #s(literal -1/4 binary64)))
(/.f64 (neg.f64 (/.f64 #s(literal 4 binary64) (pow.f64 (PI.f64) #s(literal 2/3 binary64)))) (neg.f64 (cbrt.f64 (PI.f64))))
(pow.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) #s(literal -1 binary64))
(*.f64 #s(literal 4 binary64) (/.f64 #s(literal 1 binary64) (PI.f64)))
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(*.f64 (pow.f64 (*.f64 (log.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 1 binary64) (neg.f64 (pow.f64 (*.f64 (log.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))) (*.f64 (PI.f64) #s(literal -1/4 binary64))) #s(literal 2 binary64)))))
(*.f64 (pow.f64 (*.f64 (log.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 (pow.f64 (*.f64 (log.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))) (*.f64 (PI.f64) #s(literal -1/4 binary64))) #s(literal -2 binary64))))
(*.f64 (pow.f64 (*.f64 (log.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 1 binary64) (*.f64 (log.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))) (*.f64 (PI.f64) #s(literal -1/4 binary64)))))
(*.f64 (neg.f64 (pow.f64 (*.f64 (log.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 -1 binary64) (*.f64 (log.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))) (*.f64 (PI.f64) #s(literal -1/4 binary64)))))
(*.f64 (*.f64 (log.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))) #s(literal -1/4 binary64)) (PI.f64))
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simplify290.0ms (1.5%)

Memory
26.7MiB live, 503.6MiB allocated
Algorithm
1×egg-herbie
Rules
6 762×lower-fma.f64
6 762×lower-fma.f32
3 352×lower-*.f64
3 352×lower-*.f32
2 962×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01903056
16042776
224682604
376052604
080232565
Stop Event
1×iter limit
1×node limit
Counts
192 → 192
Calls
Call 1
Inputs
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(* -1/4 (* (PI) (+ (log (* -1/4 (PI))) (* -1 (log (/ -1 f))))))
(* -1/4 (* (PI) (+ (log (* -1/4 (PI))) (* -1 (log (/ -1 f))))))
(* -1/4 (* (PI) (+ (log (* -1/4 (PI))) (* -1 (log (/ -1 f))))))
(* -1/4 (* (PI) (+ (log (* -1/4 (PI))) (* -1 (log (/ -1 f))))))
Outputs
(* 4 (/ (+ (log f) (log (* 1/4 (PI)))) (PI)))
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(*.f64 (+.f64 (log.f64 f) (log.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)))) (/.f64 #s(literal 4 binary64) (PI.f64)))
(* 4 (/ (+ (log (* 1/4 (PI))) (* -1 (log (/ 1 f)))) (PI)))
(*.f64 (+.f64 (log.f64 f) (log.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)))) (/.f64 #s(literal 4 binary64) (PI.f64)))
(* 4 (/ (+ (log (* 1/4 (PI))) (* -1 (log (/ 1 f)))) (PI)))
(*.f64 (+.f64 (log.f64 f) (log.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)))) (/.f64 #s(literal 4 binary64) (PI.f64)))
(* 4 (/ (+ (log (* 1/4 (PI))) (* -1 (log (/ 1 f)))) (PI)))
(*.f64 (+.f64 (log.f64 f) (log.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)))) (/.f64 #s(literal 4 binary64) (PI.f64)))
(* 4 (/ (+ (log (* 1/4 (PI))) (* -1 (log (/ 1 f)))) (PI)))
(*.f64 (+.f64 (log.f64 f) (log.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)))) (/.f64 #s(literal 4 binary64) (PI.f64)))
(* 4 (/ (+ (log (* -1/4 (PI))) (* -1 (log (/ -1 f)))) (PI)))
(*.f64 (-.f64 (log.f64 (*.f64 (PI.f64) #s(literal -1/4 binary64))) (log.f64 (/.f64 #s(literal -1 binary64) f))) (/.f64 #s(literal 4 binary64) (PI.f64)))
(* 4 (/ (+ (log (* -1/4 (PI))) (* -1 (log (/ -1 f)))) (PI)))
(*.f64 (-.f64 (log.f64 (*.f64 (PI.f64) #s(literal -1/4 binary64))) (log.f64 (/.f64 #s(literal -1 binary64) f))) (/.f64 #s(literal 4 binary64) (PI.f64)))
(* 4 (/ (+ (log (* -1/4 (PI))) (* -1 (log (/ -1 f)))) (PI)))
(*.f64 (-.f64 (log.f64 (*.f64 (PI.f64) #s(literal -1/4 binary64))) (log.f64 (/.f64 #s(literal -1 binary64) f))) (/.f64 #s(literal 4 binary64) (PI.f64)))
(* 4 (/ (+ (log (* -1/4 (PI))) (* -1 (log (/ -1 f)))) (PI)))
(*.f64 (-.f64 (log.f64 (*.f64 (PI.f64) #s(literal -1/4 binary64))) (log.f64 (/.f64 #s(literal -1 binary64) f))) (/.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)))
(* 1/4 (* f (PI)))
(*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))
(* f (+ (* 1/4 (PI)) (* 1/2 (* f (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2)))))))
(fma.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)) #s(literal 0 binary64))
(* 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))))))))
(*.f64 f (fma.f64 (fma.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal -7/768 binary64) (*.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal -1/32 binary64)) #s(literal -1/8 binary64))) (*.f64 f f) (*.f64 #s(literal 1/4 binary64) (PI.f64))))
(* 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))))))))
(*.f64 f (fma.f64 f (*.f64 f (fma.f64 f (fma.f64 #s(literal 1/2 binary64) (fma.f64 (*.f64 (PI.f64) (fma.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal -1/32 binary64)) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal -1/192 binary64)))) (*.f64 (PI.f64) #s(literal -1/4 binary64)) (fma.f64 #s(literal -1/3072 binary64) (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) #s(literal 1/1024 binary64)))) (*.f64 (*.f64 (PI.f64) (fma.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal -1/32 binary64)) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal -1/128 binary64)))) (*.f64 (PI.f64) #s(literal 1/8 binary64)))) (fma.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal -7/768 binary64) (*.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal -1/32 binary64)) #s(literal -1/8 binary64))))) (*.f64 #s(literal 1/4 binary64) (PI.f64))))
(/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))
(/.f64 (-.f64 (exp.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))) (exp.f64 (*.f64 (PI.f64) (*.f64 f #s(literal -1/4 binary64))))) (+.f64 (exp.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))) (exp.f64 (*.f64 (PI.f64) (*.f64 f #s(literal -1/4 binary64))))))
(/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))
(/.f64 (-.f64 (exp.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))) (exp.f64 (*.f64 (PI.f64) (*.f64 f #s(literal -1/4 binary64))))) (+.f64 (exp.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))) (exp.f64 (*.f64 (PI.f64) (*.f64 f #s(literal -1/4 binary64))))))
(/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))
(/.f64 (-.f64 (exp.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))) (exp.f64 (*.f64 (PI.f64) (*.f64 f #s(literal -1/4 binary64))))) (+.f64 (exp.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))) (exp.f64 (*.f64 (PI.f64) (*.f64 f #s(literal -1/4 binary64))))))
(/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))
(/.f64 (-.f64 (exp.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))) (exp.f64 (*.f64 (PI.f64) (*.f64 f #s(literal -1/4 binary64))))) (+.f64 (exp.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))) (exp.f64 (*.f64 (PI.f64) (*.f64 f #s(literal -1/4 binary64))))))
(/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))
(/.f64 (-.f64 (exp.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))) (exp.f64 (*.f64 (PI.f64) (*.f64 f #s(literal -1/4 binary64))))) (+.f64 (exp.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))) (exp.f64 (*.f64 (PI.f64) (*.f64 f #s(literal -1/4 binary64))))))
(/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))
(/.f64 (-.f64 (exp.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))) (exp.f64 (*.f64 (PI.f64) (*.f64 f #s(literal -1/4 binary64))))) (+.f64 (exp.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))) (exp.f64 (*.f64 (PI.f64) (*.f64 f #s(literal -1/4 binary64))))))
(/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))
(/.f64 (-.f64 (exp.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))) (exp.f64 (*.f64 (PI.f64) (*.f64 f #s(literal -1/4 binary64))))) (+.f64 (exp.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))) (exp.f64 (*.f64 (PI.f64) (*.f64 f #s(literal -1/4 binary64))))))
(/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))
(/.f64 (-.f64 (exp.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))) (exp.f64 (*.f64 (PI.f64) (*.f64 f #s(literal -1/4 binary64))))) (+.f64 (exp.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))) (exp.f64 (*.f64 (PI.f64) (*.f64 f #s(literal -1/4 binary64))))))
(* 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)))
(* -1/4 (* (PI) (+ (log f) (log (* 1/4 (PI))))))
(*.f64 (+.f64 (log.f64 f) (log.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)))) (*.f64 (PI.f64) #s(literal -1/4 binary64)))
(* -1/4 (* (PI) (+ (log f) (log (* 1/4 (PI))))))
(*.f64 (+.f64 (log.f64 f) (log.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)))) (*.f64 (PI.f64) #s(literal -1/4 binary64)))
(* -1/4 (* (PI) (+ (log f) (log (* 1/4 (PI))))))
(*.f64 (+.f64 (log.f64 f) (log.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)))) (*.f64 (PI.f64) #s(literal -1/4 binary64)))
(* -1/4 (* (PI) (+ (log f) (log (* 1/4 (PI))))))
(*.f64 (+.f64 (log.f64 f) (log.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)))) (*.f64 (PI.f64) #s(literal -1/4 binary64)))
(* -1/4 (* (PI) (+ (log (* 1/4 (PI))) (* -1 (log (/ 1 f))))))
(*.f64 (+.f64 (log.f64 f) (log.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)))) (*.f64 (PI.f64) #s(literal -1/4 binary64)))
(* -1/4 (* (PI) (+ (log (* 1/4 (PI))) (* -1 (log (/ 1 f))))))
(*.f64 (+.f64 (log.f64 f) (log.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)))) (*.f64 (PI.f64) #s(literal -1/4 binary64)))
(* -1/4 (* (PI) (+ (log (* 1/4 (PI))) (* -1 (log (/ 1 f))))))
(*.f64 (+.f64 (log.f64 f) (log.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)))) (*.f64 (PI.f64) #s(literal -1/4 binary64)))
(* -1/4 (* (PI) (+ (log (* 1/4 (PI))) (* -1 (log (/ 1 f))))))
(*.f64 (+.f64 (log.f64 f) (log.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)))) (*.f64 (PI.f64) #s(literal -1/4 binary64)))
(* -1/4 (* (PI) (+ (log (* -1/4 (PI))) (* -1 (log (/ -1 f))))))
(*.f64 (*.f64 (PI.f64) #s(literal -1/4 binary64)) (-.f64 (log.f64 (*.f64 (PI.f64) #s(literal -1/4 binary64))) (log.f64 (/.f64 #s(literal -1 binary64) f))))
(* -1/4 (* (PI) (+ (log (* -1/4 (PI))) (* -1 (log (/ -1 f))))))
(*.f64 (*.f64 (PI.f64) #s(literal -1/4 binary64)) (-.f64 (log.f64 (*.f64 (PI.f64) #s(literal -1/4 binary64))) (log.f64 (/.f64 #s(literal -1 binary64) f))))
(* -1/4 (* (PI) (+ (log (* -1/4 (PI))) (* -1 (log (/ -1 f))))))
(*.f64 (*.f64 (PI.f64) #s(literal -1/4 binary64)) (-.f64 (log.f64 (*.f64 (PI.f64) #s(literal -1/4 binary64))) (log.f64 (/.f64 #s(literal -1 binary64) f))))
(* -1/4 (* (PI) (+ (log (* -1/4 (PI))) (* -1 (log (/ -1 f))))))
(*.f64 (*.f64 (PI.f64) #s(literal -1/4 binary64)) (-.f64 (log.f64 (*.f64 (PI.f64) #s(literal -1/4 binary64))) (log.f64 (/.f64 #s(literal -1 binary64) f))))

eval693.0ms (3.6%)

Memory
3.6MiB live, 1 321.3MiB allocated
Compiler

Compiled 92 979 to 8 363 computations (91% saved)

prune422.0ms (2.2%)

Memory
-4.8MiB live, 956.0MiB allocated
Pruning

21 alts after pruning (18 fresh and 3 done)

PrunedKeptTotal
New4 210144 224
Fresh347
Picked325
Done213
Total4 218214 239
Accuracy
100.0%
Counts
4 239 → 21
Alt Table
Click to see full alt table
StatusAccuracyProgram
96.6%
(/.f64 (/.f64 (*.f64 (log.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))) (*.f64 (PI.f64) #s(literal 1/4 binary64))) (PI.f64)) (*.f64 (PI.f64) #s(literal 1/16 binary64)))
96.6%
(/.f64 (/.f64 (log.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))) (/.f64 #s(literal 4 binary64) (PI.f64))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/16 binary64)))
96.5%
(/.f64 (/.f64 #s(literal 16 binary64) (*.f64 (PI.f64) (PI.f64))) (/.f64 #s(literal -1 binary64) (*.f64 (log.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))) (*.f64 (PI.f64) #s(literal -1/4 binary64)))))
97.2%
(/.f64 (log.f64 (*.f64 f (fma.f64 f (*.f64 f (fma.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/256 binary64) (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal -7/768 binary64)))) (*.f64 (PI.f64) #s(literal 1/4 binary64))))) (*.f64 (PI.f64) #s(literal 1/4 binary64)))
96.6%
(/.f64 (log.f64 (*.f64 f (*.f64 (*.f64 #s(literal 1/4 binary64) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64))))) (*.f64 (PI.f64) #s(literal 1/4 binary64)))
✓96.6%
(/.f64 (log.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))) (*.f64 (PI.f64) #s(literal 1/4 binary64)))
96.5%
(/.f64 #s(literal 4 binary64) (/.f64 (PI.f64) (log.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))))
96.5%
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (*.f64 (log.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))) (*.f64 (PI.f64) #s(literal 1/4 binary64))) #s(literal 16 binary64))))
97.1%
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) (log.f64 (*.f64 f (fma.f64 (fma.f64 (*.f64 (*.f64 (PI.f64) #s(literal -1/128 binary64)) (PI.f64)) (PI.f64) (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/384 binary64))) (*.f64 f f) (*.f64 #s(literal 1/4 binary64) (PI.f64)))))))
96.6%
(*.f64 (/.f64 (log.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))) (*.f64 (PI.f64) (PI.f64))) (neg.f64 (*.f64 (*.f64 (PI.f64) #s(literal -1/4 binary64)) #s(literal 16 binary64))))
96.3%
(*.f64 (/.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))))
96.6%
(*.f64 (/.f64 #s(literal 16 binary64) (*.f64 (PI.f64) (PI.f64))) (*.f64 (log.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))) (*.f64 (PI.f64) #s(literal 1/4 binary64))))
95.2%
(*.f64 (/.f64 #s(literal 4 binary64) (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)))) (log.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))))
✓96.4%
(*.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (log.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))))
99.3%
(*.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (log.f64 (tanh.f64 (/.f64 (*.f64 f (sqrt.f64 (PI.f64))) (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64)))))))
✓99.3%
(*.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))))
96.0%
(*.f64 (*.f64 (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64)))) (log.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))))
98.9%
(*.f64 (*.f64 (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64)))) (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))))
96.6%
(*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) (*.f64 (log.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))) (/.f64 #s(literal 16 binary64) (*.f64 (PI.f64) (PI.f64)))))
96.4%
(neg.f64 (*.f64 (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64))) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (sqrt.f64 (PI.f64)) (log.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))))) (PI.f64))))
97.1%
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (fma.f64 f (*.f64 f (fma.f64 (*.f64 (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))))
Compiler

Compiled 1 388 to 535 computations (61.5% saved)

regimes86.0ms (0.4%)

Memory
6.5MiB live, 162.8MiB allocated
Counts
52 → 1
Calls
Call 1
Inputs
(*.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (log.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))))
(/.f64 (log.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))) (*.f64 (PI.f64) #s(literal 1/4 binary64)))
(neg.f64 (*.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (neg.f64 (log.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f))))))
(/.f64 #s(literal 4 binary64) (/.f64 (PI.f64) (log.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) (log.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) (log.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))))
(*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) (*.f64 (log.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))) (/.f64 #s(literal 16 binary64) (*.f64 (PI.f64) (PI.f64)))))
(*.f64 (/.f64 #s(literal 16 binary64) (*.f64 (PI.f64) (PI.f64))) (*.f64 (log.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))) (*.f64 (PI.f64) #s(literal 1/4 binary64))))
(*.f64 (/.f64 (log.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))) (*.f64 (PI.f64) (PI.f64))) (neg.f64 (*.f64 (*.f64 (PI.f64) #s(literal -1/4 binary64)) #s(literal 16 binary64))))
(/.f64 (/.f64 (*.f64 (log.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))) (*.f64 (PI.f64) #s(literal 1/4 binary64))) (PI.f64)) (*.f64 (PI.f64) #s(literal 1/16 binary64)))
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 #s(literal 2 binary64) (*.f64 f (*.f64 (PI.f64) #s(literal 1/2 binary64)))))))
(*.f64 (/.f64 #s(literal 4 binary64) (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)))) (log.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))))
(/.f64 (log.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))) (*.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))) #s(literal 1/4 binary64)))
(/.f64 (log.f64 (*.f64 f (*.f64 (*.f64 #s(literal 1/4 binary64) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64))))) (*.f64 (PI.f64) #s(literal 1/4 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (*.f64 (log.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))) (*.f64 (PI.f64) #s(literal 1/4 binary64))) #s(literal 16 binary64))))
(/.f64 (/.f64 (log.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))) (/.f64 #s(literal 4 binary64) (PI.f64))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/16 binary64)))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (*.f64 (PI.f64) #s(literal -1/4 binary64))) (*.f64 (*.f64 (PI.f64) #s(literal -1/4 binary64)) (log.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/16 binary64)))
(*.f64 (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64))) (/.f64 (log.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))) (sqrt.f64 (PI.f64))))
(*.f64 (/.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 #s(literal 16 binary64) (*.f64 (PI.f64) (PI.f64))) (/.f64 #s(literal -1 binary64) (*.f64 (log.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))) (*.f64 (PI.f64) #s(literal -1/4 binary64)))))
(neg.f64 (/.f64 (*.f64 (neg.f64 (log.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f)))) (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (PI.f64))))
(*.f64 (*.f64 (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64)))) (log.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))))
(neg.f64 (*.f64 (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64))) (*.f64 (neg.f64 (log.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64))))))
(neg.f64 (*.f64 (/.f64 (neg.f64 (log.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f)))) (*.f64 #s(literal 1/4 binary64) (sqrt.f64 (PI.f64)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64)))))
(neg.f64 (*.f64 (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64))) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (sqrt.f64 (PI.f64)) (log.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))))) (PI.f64))))
(/.f64 (log.f64 (*.f64 f (fma.f64 f (*.f64 f (fma.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/256 binary64) (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal -7/768 binary64)))) (*.f64 (PI.f64) #s(literal 1/4 binary64))))) (*.f64 (PI.f64) #s(literal 1/4 binary64)))
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 1/4 binary64) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)))) (log.f64 (/.f64 #s(literal 2 binary64) (*.f64 f (*.f64 (PI.f64) #s(literal 1/2 binary64)))))))
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 #s(literal 2 binary64) (*.f64 f (*.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))) #s(literal 1/2 binary64)))))))
(/.f64 (log.f64 (*.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 (/.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))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) (log.f64 (*.f64 f (fma.f64 (fma.f64 (*.f64 (*.f64 (PI.f64) #s(literal -1/128 binary64)) (PI.f64)) (PI.f64) (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/384 binary64))) (*.f64 f f) (*.f64 #s(literal 1/4 binary64) (PI.f64)))))))
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64)))) #s(literal 4 binary64))) (log.f64 (/.f64 #s(literal 2 binary64) (*.f64 f (*.f64 (PI.f64) #s(literal 1/2 binary64)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) (log.f64 (*.f64 f (fma.f64 (fma.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal -1/32 binary64)) #s(literal -1/8 binary64) (fma.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal -1/768 binary64) (*.f64 #s(literal -1/128 binary64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))))) (*.f64 f f) (*.f64 #s(literal 1/4 binary64) (PI.f64)))))))
(*.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))))
(/.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (*.f64 (PI.f64) #s(literal 1/4 binary64)))
(/.f64 (*.f64 #s(literal -4 binary64) (-.f64 (neg.f64 (log.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)))) (log.f64 f))) (PI.f64))
(*.f64 (-.f64 (log.f64 (/.f64 #s(literal 2 binary64) (*.f64 (PI.f64) #s(literal 1/2 binary64)))) (log.f64 f)) (/.f64 #s(literal -4 binary64) (PI.f64)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))))
(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 (*.f64 (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64)))) (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))))
(*.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (log.f64 (tanh.f64 (/.f64 (*.f64 f (sqrt.f64 (PI.f64))) (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64)))))))
(/.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64)))) #s(literal 1/4 binary64)) f))) (*.f64 (PI.f64) #s(literal 1/4 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 (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)))))
(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) (pow.f64 (PI.f64) #s(literal 2/3 binary64)))) (cbrt.f64 (PI.f64))))
(-.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 (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)))
(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 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (/.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (*.f64 (PI.f64) #s(literal -1/4 binary64))) #s(literal 2 binary64)) #s(literal 0 binary64)) (neg.f64 (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)))))
(neg.f64 (/.f64 (*.f64 (-.f64 (pow.f64 (log.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))) #s(literal 3 binary64)) (pow.f64 (log.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))) #s(literal 3 binary64))) #s(literal 4 binary64)) (*.f64 (+.f64 (pow.f64 (log.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))) #s(literal 2 binary64)) (*.f64 (log.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))) (+.f64 (log.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))) (log.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))))))) (PI.f64))))
Outputs
(/.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64)))) #s(literal 1/4 binary64)) f))) (*.f64 (PI.f64) #s(literal 1/4 binary64)))
Calls

6 calls:

16.0ms
(*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)
16.0ms
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))))))
15.0ms
f
13.0ms
(/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))))
12.0ms
(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
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)

regimes70.0ms (0.4%)

Memory
-17.2MiB live, 139.8MiB allocated
Counts
42 → 1
Calls
Call 1
Inputs
(*.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (log.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))))
(/.f64 (log.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))) (*.f64 (PI.f64) #s(literal 1/4 binary64)))
(neg.f64 (*.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (neg.f64 (log.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f))))))
(/.f64 #s(literal 4 binary64) (/.f64 (PI.f64) (log.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) (log.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) (log.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))))
(*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) (*.f64 (log.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))) (/.f64 #s(literal 16 binary64) (*.f64 (PI.f64) (PI.f64)))))
(*.f64 (/.f64 #s(literal 16 binary64) (*.f64 (PI.f64) (PI.f64))) (*.f64 (log.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))) (*.f64 (PI.f64) #s(literal 1/4 binary64))))
(*.f64 (/.f64 (log.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))) (*.f64 (PI.f64) (PI.f64))) (neg.f64 (*.f64 (*.f64 (PI.f64) #s(literal -1/4 binary64)) #s(literal 16 binary64))))
(/.f64 (/.f64 (*.f64 (log.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))) (*.f64 (PI.f64) #s(literal 1/4 binary64))) (PI.f64)) (*.f64 (PI.f64) #s(literal 1/16 binary64)))
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 #s(literal 2 binary64) (*.f64 f (*.f64 (PI.f64) #s(literal 1/2 binary64)))))))
(*.f64 (/.f64 #s(literal 4 binary64) (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)))) (log.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))))
(/.f64 (log.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))) (*.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))) #s(literal 1/4 binary64)))
(/.f64 (log.f64 (*.f64 f (*.f64 (*.f64 #s(literal 1/4 binary64) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64))))) (*.f64 (PI.f64) #s(literal 1/4 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (*.f64 (log.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))) (*.f64 (PI.f64) #s(literal 1/4 binary64))) #s(literal 16 binary64))))
(/.f64 (/.f64 (log.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))) (/.f64 #s(literal 4 binary64) (PI.f64))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/16 binary64)))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (*.f64 (PI.f64) #s(literal -1/4 binary64))) (*.f64 (*.f64 (PI.f64) #s(literal -1/4 binary64)) (log.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/16 binary64)))
(*.f64 (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64))) (/.f64 (log.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))) (sqrt.f64 (PI.f64))))
(*.f64 (/.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 #s(literal 16 binary64) (*.f64 (PI.f64) (PI.f64))) (/.f64 #s(literal -1 binary64) (*.f64 (log.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))) (*.f64 (PI.f64) #s(literal -1/4 binary64)))))
(neg.f64 (/.f64 (*.f64 (neg.f64 (log.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f)))) (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (PI.f64))))
(*.f64 (*.f64 (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64)))) (log.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))))
(neg.f64 (*.f64 (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64))) (*.f64 (neg.f64 (log.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64))))))
(neg.f64 (*.f64 (/.f64 (neg.f64 (log.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f)))) (*.f64 #s(literal 1/4 binary64) (sqrt.f64 (PI.f64)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64)))))
(neg.f64 (*.f64 (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64))) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (sqrt.f64 (PI.f64)) (log.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))))) (PI.f64))))
(/.f64 (log.f64 (*.f64 f (fma.f64 f (*.f64 f (fma.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/256 binary64) (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal -7/768 binary64)))) (*.f64 (PI.f64) #s(literal 1/4 binary64))))) (*.f64 (PI.f64) #s(literal 1/4 binary64)))
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 1/4 binary64) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)))) (log.f64 (/.f64 #s(literal 2 binary64) (*.f64 f (*.f64 (PI.f64) #s(literal 1/2 binary64)))))))
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 #s(literal 2 binary64) (*.f64 f (*.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))) #s(literal 1/2 binary64)))))))
(/.f64 (log.f64 (*.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 (/.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))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) (log.f64 (*.f64 f (fma.f64 (fma.f64 (*.f64 (*.f64 (PI.f64) #s(literal -1/128 binary64)) (PI.f64)) (PI.f64) (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/384 binary64))) (*.f64 f f) (*.f64 #s(literal 1/4 binary64) (PI.f64)))))))
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64)))) #s(literal 4 binary64))) (log.f64 (/.f64 #s(literal 2 binary64) (*.f64 f (*.f64 (PI.f64) #s(literal 1/2 binary64)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) (log.f64 (*.f64 f (fma.f64 (fma.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal -1/32 binary64)) #s(literal -1/8 binary64) (fma.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal -1/768 binary64) (*.f64 #s(literal -1/128 binary64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))))) (*.f64 f f) (*.f64 #s(literal 1/4 binary64) (PI.f64)))))))
(*.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))))
(/.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (*.f64 (PI.f64) #s(literal 1/4 binary64)))
(/.f64 (*.f64 #s(literal -4 binary64) (-.f64 (neg.f64 (log.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)))) (log.f64 f))) (PI.f64))
(*.f64 (-.f64 (log.f64 (/.f64 #s(literal 2 binary64) (*.f64 (PI.f64) #s(literal 1/2 binary64)))) (log.f64 f)) (/.f64 #s(literal -4 binary64) (PI.f64)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))))
(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 (*.f64 (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64)))) (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))))
(*.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (log.f64 (tanh.f64 (/.f64 (*.f64 f (sqrt.f64 (PI.f64))) (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64)))))))
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:

13.0ms
f
13.0ms
(*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)
12.0ms
(/.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)))))))
9.0ms
(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
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)

regimes56.0ms (0.3%)

Memory
15.5MiB live, 136.6MiB allocated
Counts
34 → 1
Calls
Call 1
Inputs
(*.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (log.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))))
(/.f64 (log.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))) (*.f64 (PI.f64) #s(literal 1/4 binary64)))
(neg.f64 (*.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (neg.f64 (log.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f))))))
(/.f64 #s(literal 4 binary64) (/.f64 (PI.f64) (log.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) (log.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) (log.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))))
(*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) (*.f64 (log.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))) (/.f64 #s(literal 16 binary64) (*.f64 (PI.f64) (PI.f64)))))
(*.f64 (/.f64 #s(literal 16 binary64) (*.f64 (PI.f64) (PI.f64))) (*.f64 (log.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))) (*.f64 (PI.f64) #s(literal 1/4 binary64))))
(*.f64 (/.f64 (log.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))) (*.f64 (PI.f64) (PI.f64))) (neg.f64 (*.f64 (*.f64 (PI.f64) #s(literal -1/4 binary64)) #s(literal 16 binary64))))
(/.f64 (/.f64 (*.f64 (log.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))) (*.f64 (PI.f64) #s(literal 1/4 binary64))) (PI.f64)) (*.f64 (PI.f64) #s(literal 1/16 binary64)))
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 #s(literal 2 binary64) (*.f64 f (*.f64 (PI.f64) #s(literal 1/2 binary64)))))))
(*.f64 (/.f64 #s(literal 4 binary64) (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)))) (log.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))))
(/.f64 (log.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))) (*.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))) #s(literal 1/4 binary64)))
(/.f64 (log.f64 (*.f64 f (*.f64 (*.f64 #s(literal 1/4 binary64) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64))))) (*.f64 (PI.f64) #s(literal 1/4 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (*.f64 (log.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))) (*.f64 (PI.f64) #s(literal 1/4 binary64))) #s(literal 16 binary64))))
(/.f64 (/.f64 (log.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))) (/.f64 #s(literal 4 binary64) (PI.f64))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/16 binary64)))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (*.f64 (PI.f64) #s(literal -1/4 binary64))) (*.f64 (*.f64 (PI.f64) #s(literal -1/4 binary64)) (log.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/16 binary64)))
(*.f64 (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64))) (/.f64 (log.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))) (sqrt.f64 (PI.f64))))
(*.f64 (/.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 #s(literal 16 binary64) (*.f64 (PI.f64) (PI.f64))) (/.f64 #s(literal -1 binary64) (*.f64 (log.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))) (*.f64 (PI.f64) #s(literal -1/4 binary64)))))
(neg.f64 (/.f64 (*.f64 (neg.f64 (log.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f)))) (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (PI.f64))))
(*.f64 (*.f64 (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64)))) (log.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))))
(neg.f64 (*.f64 (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64))) (*.f64 (neg.f64 (log.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64))))))
(neg.f64 (*.f64 (/.f64 (neg.f64 (log.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f)))) (*.f64 #s(literal 1/4 binary64) (sqrt.f64 (PI.f64)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64)))))
(neg.f64 (*.f64 (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64))) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (sqrt.f64 (PI.f64)) (log.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))))) (PI.f64))))
(/.f64 (log.f64 (*.f64 f (fma.f64 f (*.f64 f (fma.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/256 binary64) (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal -7/768 binary64)))) (*.f64 (PI.f64) #s(literal 1/4 binary64))))) (*.f64 (PI.f64) #s(literal 1/4 binary64)))
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 1/4 binary64) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)))) (log.f64 (/.f64 #s(literal 2 binary64) (*.f64 f (*.f64 (PI.f64) #s(literal 1/2 binary64)))))))
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 #s(literal 2 binary64) (*.f64 f (*.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))) #s(literal 1/2 binary64)))))))
(/.f64 (log.f64 (*.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 (/.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))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) (log.f64 (*.f64 f (fma.f64 (fma.f64 (*.f64 (*.f64 (PI.f64) #s(literal -1/128 binary64)) (PI.f64)) (PI.f64) (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/384 binary64))) (*.f64 f f) (*.f64 #s(literal 1/4 binary64) (PI.f64)))))))
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64)))) #s(literal 4 binary64))) (log.f64 (/.f64 #s(literal 2 binary64) (*.f64 f (*.f64 (PI.f64) #s(literal 1/2 binary64)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) (log.f64 (*.f64 f (fma.f64 (fma.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal -1/32 binary64)) #s(literal -1/8 binary64) (fma.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal -1/768 binary64) (*.f64 #s(literal -1/128 binary64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))))) (*.f64 f f) (*.f64 #s(literal 1/4 binary64) (PI.f64)))))))
(*.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))))
Outputs
(*.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))))
Calls

6 calls:

10.0ms
(*.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
f
10.0ms
(*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)
9.0ms
(/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))))
8.0ms
(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
99.3%1f
99.3%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))))))))
99.3%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)))))))
99.3%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))))))
99.3%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)))))
99.3%1(*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)
Compiler

Compiled 144 to 60 computations (58.3% saved)

regimes53.0ms (0.3%)

Memory
2.7MiB live, 120.9MiB allocated
Counts
33 → 1
Calls
Call 1
Inputs
(*.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (log.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))))
(/.f64 (log.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))) (*.f64 (PI.f64) #s(literal 1/4 binary64)))
(neg.f64 (*.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (neg.f64 (log.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f))))))
(/.f64 #s(literal 4 binary64) (/.f64 (PI.f64) (log.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) (log.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) (log.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))))
(*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) (*.f64 (log.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))) (/.f64 #s(literal 16 binary64) (*.f64 (PI.f64) (PI.f64)))))
(*.f64 (/.f64 #s(literal 16 binary64) (*.f64 (PI.f64) (PI.f64))) (*.f64 (log.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))) (*.f64 (PI.f64) #s(literal 1/4 binary64))))
(*.f64 (/.f64 (log.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))) (*.f64 (PI.f64) (PI.f64))) (neg.f64 (*.f64 (*.f64 (PI.f64) #s(literal -1/4 binary64)) #s(literal 16 binary64))))
(/.f64 (/.f64 (*.f64 (log.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))) (*.f64 (PI.f64) #s(literal 1/4 binary64))) (PI.f64)) (*.f64 (PI.f64) #s(literal 1/16 binary64)))
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 #s(literal 2 binary64) (*.f64 f (*.f64 (PI.f64) #s(literal 1/2 binary64)))))))
(*.f64 (/.f64 #s(literal 4 binary64) (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)))) (log.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))))
(/.f64 (log.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))) (*.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))) #s(literal 1/4 binary64)))
(/.f64 (log.f64 (*.f64 f (*.f64 (*.f64 #s(literal 1/4 binary64) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64))))) (*.f64 (PI.f64) #s(literal 1/4 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (*.f64 (log.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))) (*.f64 (PI.f64) #s(literal 1/4 binary64))) #s(literal 16 binary64))))
(/.f64 (/.f64 (log.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))) (/.f64 #s(literal 4 binary64) (PI.f64))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/16 binary64)))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (*.f64 (PI.f64) #s(literal -1/4 binary64))) (*.f64 (*.f64 (PI.f64) #s(literal -1/4 binary64)) (log.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/16 binary64)))
(*.f64 (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64))) (/.f64 (log.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))) (sqrt.f64 (PI.f64))))
(*.f64 (/.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 #s(literal 16 binary64) (*.f64 (PI.f64) (PI.f64))) (/.f64 #s(literal -1 binary64) (*.f64 (log.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))) (*.f64 (PI.f64) #s(literal -1/4 binary64)))))
(neg.f64 (/.f64 (*.f64 (neg.f64 (log.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f)))) (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (PI.f64))))
(*.f64 (*.f64 (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64)))) (log.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))))
(neg.f64 (*.f64 (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64))) (*.f64 (neg.f64 (log.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64))))))
(neg.f64 (*.f64 (/.f64 (neg.f64 (log.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f)))) (*.f64 #s(literal 1/4 binary64) (sqrt.f64 (PI.f64)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64)))))
(neg.f64 (*.f64 (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64))) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (sqrt.f64 (PI.f64)) (log.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))))) (PI.f64))))
(/.f64 (log.f64 (*.f64 f (fma.f64 f (*.f64 f (fma.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/256 binary64) (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal -7/768 binary64)))) (*.f64 (PI.f64) #s(literal 1/4 binary64))))) (*.f64 (PI.f64) #s(literal 1/4 binary64)))
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 1/4 binary64) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)))) (log.f64 (/.f64 #s(literal 2 binary64) (*.f64 f (*.f64 (PI.f64) #s(literal 1/2 binary64)))))))
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 #s(literal 2 binary64) (*.f64 f (*.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))) #s(literal 1/2 binary64)))))))
(/.f64 (log.f64 (*.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 (/.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))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) (log.f64 (*.f64 f (fma.f64 (fma.f64 (*.f64 (*.f64 (PI.f64) #s(literal -1/128 binary64)) (PI.f64)) (PI.f64) (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/384 binary64))) (*.f64 f f) (*.f64 #s(literal 1/4 binary64) (PI.f64)))))))
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64)))) #s(literal 4 binary64))) (log.f64 (/.f64 #s(literal 2 binary64) (*.f64 f (*.f64 (PI.f64) #s(literal 1/2 binary64)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) (log.f64 (*.f64 f (fma.f64 (fma.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal -1/32 binary64)) #s(literal -1/8 binary64) (fma.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal -1/768 binary64) (*.f64 #s(literal -1/128 binary64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))))) (*.f64 f f) (*.f64 #s(literal 1/4 binary64) (PI.f64)))))))
Outputs
(/.f64 (log.f64 (*.f64 f (fma.f64 f (*.f64 f (fma.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/256 binary64) (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal -7/768 binary64)))) (*.f64 (PI.f64) #s(literal 1/4 binary64))))) (*.f64 (PI.f64) #s(literal 1/4 binary64)))
Calls

6 calls:

10.0ms
(*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)
9.0ms
f
8.0ms
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))))))
8.0ms
(log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))))
8.0ms
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))))))
Results
AccuracySegmentsBranch
97.2%1f
97.2%1(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))))))
97.2%1(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))))))
97.2%1(log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))))
97.2%1(/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))))
97.2%1(*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)
Compiler

Compiled 144 to 60 computations (58.3% saved)

regimes42.0ms (0.2%)

Memory
-20.8MiB live, 97.4MiB allocated
Counts
25 → 1
Calls
Call 1
Inputs
(*.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (log.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))))
(/.f64 (log.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))) (*.f64 (PI.f64) #s(literal 1/4 binary64)))
(neg.f64 (*.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (neg.f64 (log.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f))))))
(/.f64 #s(literal 4 binary64) (/.f64 (PI.f64) (log.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) (log.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) (log.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))))
(*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) (*.f64 (log.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))) (/.f64 #s(literal 16 binary64) (*.f64 (PI.f64) (PI.f64)))))
(*.f64 (/.f64 #s(literal 16 binary64) (*.f64 (PI.f64) (PI.f64))) (*.f64 (log.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))) (*.f64 (PI.f64) #s(literal 1/4 binary64))))
(*.f64 (/.f64 (log.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))) (*.f64 (PI.f64) (PI.f64))) (neg.f64 (*.f64 (*.f64 (PI.f64) #s(literal -1/4 binary64)) #s(literal 16 binary64))))
(/.f64 (/.f64 (*.f64 (log.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))) (*.f64 (PI.f64) #s(literal 1/4 binary64))) (PI.f64)) (*.f64 (PI.f64) #s(literal 1/16 binary64)))
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 #s(literal 2 binary64) (*.f64 f (*.f64 (PI.f64) #s(literal 1/2 binary64)))))))
(*.f64 (/.f64 #s(literal 4 binary64) (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)))) (log.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))))
(/.f64 (log.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))) (*.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))) #s(literal 1/4 binary64)))
(/.f64 (log.f64 (*.f64 f (*.f64 (*.f64 #s(literal 1/4 binary64) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64))))) (*.f64 (PI.f64) #s(literal 1/4 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (*.f64 (log.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))) (*.f64 (PI.f64) #s(literal 1/4 binary64))) #s(literal 16 binary64))))
(/.f64 (/.f64 (log.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))) (/.f64 #s(literal 4 binary64) (PI.f64))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/16 binary64)))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (*.f64 (PI.f64) #s(literal -1/4 binary64))) (*.f64 (*.f64 (PI.f64) #s(literal -1/4 binary64)) (log.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/16 binary64)))
(*.f64 (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64))) (/.f64 (log.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))) (sqrt.f64 (PI.f64))))
(*.f64 (/.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 #s(literal 16 binary64) (*.f64 (PI.f64) (PI.f64))) (/.f64 #s(literal -1 binary64) (*.f64 (log.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))) (*.f64 (PI.f64) #s(literal -1/4 binary64)))))
(neg.f64 (/.f64 (*.f64 (neg.f64 (log.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f)))) (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (PI.f64))))
(*.f64 (*.f64 (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64)))) (log.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))))
(neg.f64 (*.f64 (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64))) (*.f64 (neg.f64 (log.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64))))))
(neg.f64 (*.f64 (/.f64 (neg.f64 (log.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f)))) (*.f64 #s(literal 1/4 binary64) (sqrt.f64 (PI.f64)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64)))))
(neg.f64 (*.f64 (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64))) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (sqrt.f64 (PI.f64)) (log.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))))) (PI.f64))))
Outputs
(*.f64 (/.f64 (log.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))) (*.f64 (PI.f64) (PI.f64))) (neg.f64 (*.f64 (*.f64 (PI.f64) #s(literal -1/4 binary64)) #s(literal 16 binary64))))
Calls

6 calls:

8.0ms
(*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)
8.0ms
f
7.0ms
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))))))
6.0ms
(/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (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))))))
Results
AccuracySegmentsBranch
96.6%1f
96.6%1(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))))))
96.6%1(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))))))
96.6%1(log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))))
96.6%1(/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))))
96.6%1(*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)
Compiler

Compiled 144 to 60 computations (58.3% saved)

regimes18.0ms (0.1%)

Memory
2.1MiB live, 43.3MiB allocated
Counts
8 → 1
Calls
Call 1
Inputs
(*.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (log.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))))
(/.f64 (log.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))) (*.f64 (PI.f64) #s(literal 1/4 binary64)))
(neg.f64 (*.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (neg.f64 (log.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f))))))
(/.f64 #s(literal 4 binary64) (/.f64 (PI.f64) (log.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) (log.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) (log.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))))
(*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) (*.f64 (log.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))) (/.f64 #s(literal 16 binary64) (*.f64 (PI.f64) (PI.f64)))))
(*.f64 (/.f64 #s(literal 16 binary64) (*.f64 (PI.f64) (PI.f64))) (*.f64 (log.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))) (*.f64 (PI.f64) #s(literal 1/4 binary64))))
Outputs
(/.f64 (log.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))) (*.f64 (PI.f64) #s(literal 1/4 binary64)))
Calls

6 calls:

4.0ms
f
3.0ms
(*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)
3.0ms
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))))))
2.0ms
(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))))))
2.0ms
(/.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
96.6%1f
96.6%1(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))))))
96.6%1(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))))))
96.6%1(log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))))
96.6%1(/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))))
96.6%1(*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)
Compiler

Compiled 144 to 60 computations (58.3% saved)

regimes7.0ms (0%)

Memory
19.6MiB live, 19.6MiB allocated
Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

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

6 calls:

1.0ms
(*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)
1.0ms
f
1.0ms
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))))))
1.0ms
(log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))))
1.0ms
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))))))
Results
AccuracySegmentsBranch
96.4%1f
96.4%1(*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)
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)))))
Compiler

Compiled 144 to 60 computations (58.3% saved)

simplify10.0ms (0.1%)

Memory
-18.5MiB live, 20.9MiB allocated
Algorithm
1×egg-herbie
Rules
56×*-commutative_binary64
18×+-commutative_binary64
18×sub-neg_binary64
18×neg-sub0_binary64
18×neg-mul-1_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
047106
175106
296106
3114106
4129106
5136106
6138106
Stop Event
1×saturated
Calls
Call 1
Inputs
(/.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64)))) #s(literal 1/4 binary64)) f))) (*.f64 (PI.f64) #s(literal 1/4 binary64)))
(/.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (*.f64 (PI.f64) #s(literal 1/4 binary64)))
(*.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))))
(/.f64 (log.f64 (*.f64 f (fma.f64 f (*.f64 f (fma.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/256 binary64) (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal -7/768 binary64)))) (*.f64 (PI.f64) #s(literal 1/4 binary64))))) (*.f64 (PI.f64) #s(literal 1/4 binary64)))
(*.f64 (/.f64 (log.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))) (*.f64 (PI.f64) (PI.f64))) (neg.f64 (*.f64 (*.f64 (PI.f64) #s(literal -1/4 binary64)) #s(literal 16 binary64))))
(/.f64 (log.f64 (*.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 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))))
Outputs
(/.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64)))) #s(literal 1/4 binary64)) f))) (*.f64 (PI.f64) #s(literal 1/4 binary64)))
(/.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (*.f64 (PI.f64) #s(literal 1/4 binary64)))
(/.f64 (log.f64 (tanh.f64 (*.f64 f (*.f64 (PI.f64) #s(literal 1/4 binary64))))) (*.f64 (PI.f64) #s(literal 1/4 binary64)))
(*.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))))
(*.f64 (log.f64 (tanh.f64 (*.f64 f (*.f64 (PI.f64) #s(literal 1/4 binary64))))) (/.f64 #s(literal 4 binary64) (PI.f64)))
(/.f64 (log.f64 (*.f64 f (fma.f64 f (*.f64 f (fma.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/256 binary64) (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal -7/768 binary64)))) (*.f64 (PI.f64) #s(literal 1/4 binary64))))) (*.f64 (PI.f64) #s(literal 1/4 binary64)))
(*.f64 (/.f64 (log.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))) (*.f64 (PI.f64) (PI.f64))) (neg.f64 (*.f64 (*.f64 (PI.f64) #s(literal -1/4 binary64)) #s(literal 16 binary64))))
(*.f64 (*.f64 (*.f64 (PI.f64) #s(literal -1/4 binary64)) #s(literal 16 binary64)) (/.f64 (log.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))) (neg.f64 (*.f64 (PI.f64) (PI.f64)))))
(/.f64 (log.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))) (*.f64 (PI.f64) #s(literal 1/4 binary64)))
(/.f64 (log.f64 (*.f64 f (*.f64 (PI.f64) #s(literal 1/4 binary64)))) (*.f64 (PI.f64) #s(literal 1/4 binary64)))
(*.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (log.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))))

soundness759.0ms (4%)

Memory
8.5MiB live, 722.5MiB allocated
Rules
5 156×lower-fma.f64
5 156×lower-fma.f32
5 070×lower-*.f32
5 066×lower-*.f64
4 716×lower-*.f32
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
054310
0101261
1351188
22189188
08409185
04156125
113265223
257834640
088574497
038193
069153
1236145
21459145
08810145
016129
02987
111949
278349
0856149
039249
069218
1236163
21417162
08258162
Stop Event
1×fuel
1×iter limit
1×node limit
1×iter limit
1×iter limit
1×node limit
1×iter limit
1×iter limit
1×node limit
1×iter limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
Compiler

Compiled 172 to 88 computations (48.8% saved)

preprocess99.0ms (0.5%)

Memory
-24.2MiB live, 159.9MiB allocated
Compiler

Compiled 290 to 122 computations (57.9% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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