VandenBroeck and Keller, Equation (20)

Time bar (total: 18.8s)

analyze207.0ms (1.1%)

Memory
-13.3MiB live, 262.9MiB allocated
Algorithm
1×search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%100%0%0%0%0%0
0%0%100%0%0%0%0%1
0%0%100%0%0%0%0%2
0%0%75%0%0%25%0%3
0%0%62.5%0%0%37.5%0%4
0%0%56.2%0%0%43.7%0%5
0%0%53.1%0%0%46.9%0%6
3.1%1.6%48.4%0%0%50%0%7
4.8%2.3%46.1%0%0%51.5%0%8
5.6%2.7%45.7%0%0%51.5%0%9
6.5%3.1%45.1%0%0%51.7%0%10
6.9%3.3%44.8%0%0%51.8%0%11
6.9%3.3%44.8%0%0%51.9%0%12
Compiler

Compiled 39 to 18 computations (53.8% saved)

sample5.6s (29.9%)

Memory
140.1MiB live, 6 136.4MiB allocated
Samples
2.3s7 099×1invalid
2.0s7 569×1valid
151.0ms160×2valid
83.0ms527×0valid
1.0ms10×0invalid
1.0ms9×0exit
Precisions
Click to see histograms. Total time spent on operations: 4.0s
ival-exp: 1.2s (29.4% of total)
ival-div: 872.0ms (21.7% of total)
ival-log: 559.0ms (13.9% of total)
ival-mult: 363.0ms (9% of total)
adjust: 333.0ms (8.3% of total)
ival-neg: 248.0ms (6.2% of total)
ival-pi: 161.0ms (4% of total)
ival-add: 141.0ms (3.5% of total)
ival-sub: 134.0ms (3.3% of total)
exact: 15.0ms (0.4% of total)
ival-true: 12.0ms (0.3% of total)
ival-assert: 6.0ms (0.1% of total)
Bogosity

preprocess562.0ms (3%)

Memory
-4.4MiB live, 487.7MiB 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)))

explain422.0ms (2.2%)

Memory
8.2MiB live, 813.6MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
2380-0-(-.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))))
110-0-(/.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)))))
311(590053.7659788433)0-(log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))))
20-2(43.86073275107265)(exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))
10-1(83.45197283885794)(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))))cancellation2381
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))))))sensitivity140
/.f64(/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (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/o110
↳(exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))overflow11
↳(+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))overflow11
↳(exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))overflow11
↳(-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))overflow11
Confusion
Predicted +Predicted -
+2510
-14
Precision
0.996031746031746
Recall
1.0
Confusion?
Predicted +Predicted MaybePredicted -
+25100
-113
Precision?
0.9920948616600791
Recall?
1.0
Freqs
test
numberfreq
04
1241
211
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
169.0ms466×1valid
41.0ms22×2valid
4.0ms24×0valid
Compiler

Compiled 472 to 68 computations (85.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 175.0ms
ival-div: 47.0ms (26.8% of total)
ival-log: 40.0ms (22.8% of total)
ival-exp: 37.0ms (21.1% of total)
adjust: 13.0ms (7.4% of total)
ival-mult: 13.0ms (7.4% of total)
ival-neg: 8.0ms (4.6% of total)
ival-sub: 6.0ms (3.4% of total)
ival-add: 6.0ms (3.4% of total)
ival-pi: 5.0ms (2.9% of total)
exact: 1.0ms (0.6% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

eval0.0ms (0%)

Memory
0.5MiB live, 0.4MiB allocated
Compiler

Compiled 1 to 1 computations (0% saved)

prune1.0ms (0%)

Memory
2.2MiB live, 2.2MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶6.5%
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (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)

simplify375.0ms (2%)

Memory
6.8MiB live, 444.9MiB 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)))))

localize122.0ms (0.7%)

Memory
-24.9MiB live, 222.9MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
✓accuracy99.4%
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))))))
✓accuracy98.9%
(log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))))
✓accuracy95.4%
(/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))))
✓accuracy13.8%
(-.f64 (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
64.0ms233×1valid
23.0ms11×2valid
1.0ms12×0valid
Compiler

Compiled 198 to 18 computations (90.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 73.0ms
ival-exp: 22.0ms (30.1% of total)
ival-div: 16.0ms (21.9% of total)
ival-log: 11.0ms (15% of total)
ival-mult: 7.0ms (9.6% of total)
adjust: 6.0ms (8.2% of total)
ival-neg: 5.0ms (6.8% of total)
ival-pi: 2.0ms (2.7% of total)
ival-sub: 2.0ms (2.7% of total)
ival-add: 2.0ms (2.7% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series97.0ms (0.5%)

Memory
-4.2MiB live, 151.6MiB allocated
Counts
7 → 60
Calls
Call 1
Inputs
#s(alt (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))) (patch (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))) #<representation binary64>) () ())
#s(alt (/.f64 (PI.f64) #s(literal 4 binary64)) (patch (/.f64 (PI.f64) #s(literal 4 binary64)) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (patch (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) #<representation binary64>) () ())
#s(alt (neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))))))) (patch (neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))))))) #<representation binary64>) () ())
#s(alt (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (patch (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) #<representation binary64>) () ())
#s(alt (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))))) (patch (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))))) #<representation binary64>) () ())
#s(alt (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))))) (patch (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))))) #<representation binary64>) () ())
Outputs
#s(alt (/ 2 (* f (- (* 1/4 (PI)) (* -1/4 (PI))))) (taylor 0 f) (#s(alt (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))) (patch (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* f (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))))) (* 2 (/ 1 (- (* 1/4 (PI)) (* -1/4 (PI)))))) f) (taylor 0 f) (#s(alt (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))) (patch (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* f (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (+ (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* f (- (* 1/16 (/ (pow (PI) 2) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 2 (/ (- (* 1/384 (pow (PI) 3)) (* -1/384 (pow (PI) 3))) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 2)))))))) (* 2 (/ 1 (- (* 1/4 (PI)) (* -1/4 (PI)))))) f) (taylor 0 f) (#s(alt (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))) (patch (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* f (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (+ (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* f (- (+ (* 1/16 (/ (pow (PI) 2) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* f (- (+ (* -1/384 (/ (pow (PI) 3) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/384 (/ (pow (PI) 3) (- (* 1/4 (PI)) (* -1/4 (PI)))))) (/ (* (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI)))))) (- (* 1/384 (pow (PI) 3)) (* -1/384 (pow (PI) 3)))) (- (* 1/4 (PI)) (* -1/4 (PI))))))) (* 2 (/ (- (* 1/384 (pow (PI) 3)) (* -1/384 (pow (PI) 3))) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 2)))))))) (* 2 (/ 1 (- (* 1/4 (PI)) (* -1/4 (PI)))))) f) (taylor 0 f) (#s(alt (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))) (patch (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))) #<representation binary64>) () ())) ())
#s(alt (/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI))))))) (taylor inf f) (#s(alt (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))) (patch (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))) #<representation binary64>) () ())) ())
#s(alt (/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI))))))) (taylor inf f) (#s(alt (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))) (patch (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))) #<representation binary64>) () ())) ())
#s(alt (/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI))))))) (taylor inf f) (#s(alt (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))) (patch (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))) #<representation binary64>) () ())) ())
#s(alt (/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI))))))) (taylor inf f) (#s(alt (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))) (patch (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))) #<representation binary64>) () ())) ())
#s(alt (/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI))))))) (taylor -inf f) (#s(alt (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))) (patch (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))) #<representation binary64>) () ())) ())
#s(alt (/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI))))))) (taylor -inf f) (#s(alt (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))) (patch (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))) #<representation binary64>) () ())) ())
#s(alt (/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI))))))) (taylor -inf f) (#s(alt (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))) (patch (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))) #<representation binary64>) () ())) ())
#s(alt (/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI))))))) (taylor -inf f) (#s(alt (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))) (patch (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))) #<representation binary64>) () ())) ())
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#s(alt (* 4 (/ (log (/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI)))))))) (PI))) (taylor -inf f) (#s(alt (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))))) (patch (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))))) #<representation binary64>) () ())) ())
Calls

15 calls:

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

rewrite282.0ms (1.5%)

Memory
9.4MiB live, 356.8MiB 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
016154
029100
111952
278352
0856152
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
7 → 561
Calls
Call 1
Inputs
(/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))))
(/.f64 (PI.f64) #s(literal 4 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64)))
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))))))
(-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))
(log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))))))
Outputs
(+.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (sinh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (exp.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (*.f64 (/.f64 #s(literal 1/2 binary64) (sinh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (exp.f64 (*.f64 f (*.f64 (PI.f64) #s(literal -1/4 binary64))))))
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(/.f64 (*.f64 (*.f64 (log.f64 (-.f64 (exp.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/2 binary64))) (exp.f64 (neg.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/2 binary64)))))) (neg.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))))) #s(literal 1 binary64)) (*.f64 (log.f64 (-.f64 (exp.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/2 binary64))) (exp.f64 (neg.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/2 binary64)))))) (*.f64 (PI.f64) #s(literal 1/4 binary64))))
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(/.f64 (*.f64 (*.f64 (log.f64 (-.f64 (exp.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/2 binary64))) (exp.f64 (neg.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/2 binary64)))))) (neg.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))))) #s(literal -4 binary64)) (*.f64 (log.f64 (-.f64 (exp.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/2 binary64))) (exp.f64 (neg.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/2 binary64)))))) (neg.f64 (PI.f64))))
(/.f64 (*.f64 (*.f64 (log.f64 (-.f64 (exp.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/2 binary64))) (exp.f64 (neg.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/2 binary64)))))) (neg.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))))) (/.f64 #s(literal 1 binary64) (PI.f64))) (*.f64 (log.f64 (-.f64 (exp.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/2 binary64))) (exp.f64 (neg.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/2 binary64)))))) #s(literal 1/4 binary64)))
(/.f64 (*.f64 (*.f64 (log.f64 (-.f64 (exp.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/2 binary64))) (exp.f64 (neg.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/2 binary64)))))) (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)))) (*.f64 (log.f64 (-.f64 (exp.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/2 binary64))) (exp.f64 (neg.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/2 binary64)))))) (cbrt.f64 (PI.f64))))
(/.f64 (*.f64 (*.f64 (log.f64 (-.f64 (exp.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/2 binary64))) (exp.f64 (neg.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/2 binary64)))))) (neg.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))))) (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64)))) (*.f64 (log.f64 (-.f64 (exp.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/2 binary64))) (exp.f64 (neg.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/2 binary64)))))) (sqrt.f64 (PI.f64))))
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (PI.f64) #s(literal 2/3 binary64))) (neg.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))))) (*.f64 (cbrt.f64 (PI.f64)) #s(literal 1/4 binary64)))
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.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 (neg.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))) #s(literal -4 binary64)) (neg.f64 (PI.f64)))
(/.f64 (*.f64 (neg.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))) (/.f64 #s(literal 4 binary64) (pow.f64 (PI.f64) #s(literal 2/3 binary64)))) (cbrt.f64 (PI.f64)))
(/.f64 (*.f64 (neg.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))) (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (PI.f64)))
(/.f64 (+.f64 #s(literal 0 binary64) (pow.f64 (/.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (*.f64 (PI.f64) #s(literal -1/4 binary64))) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (-.f64 (pow.f64 (/.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (*.f64 (PI.f64) #s(literal -1/4 binary64))) #s(literal 2 binary64)) #s(literal 0 binary64))))
(pow.f64 (/.f64 (*.f64 (PI.f64) #s(literal -1/4 binary64)) (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))) #s(literal -1 binary64))
(*.f64 #s(literal 4 binary64) (/.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (neg.f64 (PI.f64))))
(*.f64 #s(literal 1 binary64) (/.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (*.f64 (PI.f64) #s(literal -1/4 binary64))))
(*.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (neg.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))))
(*.f64 (neg.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))) (/.f64 #s(literal 4 binary64) (PI.f64)))
(*.f64 (/.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (*.f64 (PI.f64) #s(literal -1/4 binary64))) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (*.f64 (PI.f64) #s(literal 1/4 binary64))))
(*.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (/.f64 #s(literal -4 binary64) (PI.f64)))
(*.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) (*.f64 (neg.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))) #s(literal 4 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) (neg.f64 (*.f64 #s(literal 4 binary64) (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))))))
(*.f64 (*.f64 (neg.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))) #s(literal 4 binary64)) (/.f64 #s(literal 1 binary64) (PI.f64)))
(*.f64 (pow.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) #s(literal -1/2 binary64)) (*.f64 (pow.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) #s(literal -1/2 binary64)) (neg.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))))))
(*.f64 (/.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (neg.f64 (PI.f64))) #s(literal 4 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (PI.f64) #s(literal 2/3 binary64))) (/.f64 (neg.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))) (*.f64 (cbrt.f64 (PI.f64)) #s(literal 1/4 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64))) (/.f64 (neg.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))) (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/4 binary64))))
(*.f64 (/.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (PI.f64)) #s(literal -4 binary64))
(*.f64 (/.f64 #s(literal -1 binary64) (PI.f64)) (*.f64 #s(literal 4 binary64) (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))))
(*.f64 (/.f64 #s(literal -1 binary64) (PI.f64)) (/.f64 (neg.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))) #s(literal -1/4 binary64)))
(*.f64 (/.f64 (neg.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))) (pow.f64 (PI.f64) #s(literal 2/3 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 (cbrt.f64 (PI.f64)) #s(literal 1/4 binary64))))
(*.f64 (/.f64 (neg.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))) (sqrt.f64 (PI.f64))) (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64))))
(*.f64 (/.f64 (neg.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))) #s(literal -1 binary64)) (/.f64 #s(literal -4 binary64) (PI.f64)))
(*.f64 (*.f64 (neg.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))) (pow.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) #s(literal -1/2 binary64))) (pow.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) #s(literal -1/2 binary64)))

simplify286.0ms (1.5%)

Memory
8.6MiB live, 469.6MiB allocated
Algorithm
1×egg-herbie
Rules
7 296×lower-fma.f64
7 296×lower-fma.f32
3 266×lower-*.f64
3 266×lower-*.f32
1 520×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

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

eval169.0ms (0.9%)

Memory
9.5MiB live, 237.4MiB allocated
Compiler

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

prune239.0ms (1.3%)

Memory
-21.5MiB live, 230.0MiB allocated
Pruning

17 alts after pruning (17 fresh and 0 done)

PrunedKeptTotal
New76817785
Fresh000
Picked101
Done000
Total76917786
Accuracy
98.9%
Counts
786 → 17
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶98.3%
(/.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (*.f64 (PI.f64) #s(literal 1/4 binary64)))
▶98.3%
(/.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)))))
93.9%
(-.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))))
98.2%
(*.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)))))
92.8%
(*.f64 (-.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (log.f64 f)) (/.f64 #s(literal -4 binary64) (PI.f64)))
93.7%
(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))))
98.1%
(neg.f64 (/.f64 (*.f64 (neg.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))) (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (PI.f64))))
98.1%
(neg.f64 (*.f64 (/.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)))))
93.7%
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (*.f64 #s(literal 0 binary64) (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))))))))
94.0%
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (-.f64 (log.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))) (log.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))))))
▶93.9%
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (-.f64 (log.f64 (cosh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (log.f64 (sinh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))))))
93.4%
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (fma.f64 f (*.f64 f (fma.f64 (*.f64 #s(literal 1/192 binary64) (*.f64 #s(literal 2 binary64) (+.f64 (PI.f64) (PI.f64)))) #s(literal -2 binary64) (*.f64 #s(literal 1/16 binary64) (+.f64 (PI.f64) (PI.f64))))) (/.f64 #s(literal 4 binary64) (PI.f64))) f))))
94.0%
(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 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (sinh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))))))))
92.7%
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 #s(literal 0 binary64) (/.f64 #s(literal 4 binary64) (PI.f64))) f))))
▶92.7%
(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)))))))
▶6.6%
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/2 binary64))) (exp.f64 (neg.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/2 binary64)))))) (pow.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) #s(literal 2 binary64))))))
4.0%
(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) f) #s(literal 1/2 binary64))) (exp.f64 (neg.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/2 binary64))))) (*.f64 (/.f64 #s(literal 1/2 binary64) (sinh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (/.f64 #s(literal 1/2 binary64) (sinh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))))))))
Compiler

Compiled 928 to 568 computations (38.8% saved)

simplify480.0ms (2.6%)

Memory
4.4MiB live, 274.2MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 20 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 #s(literal 1 binary64) (-.f64 (exp.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/2 binary64))) (exp.f64 (neg.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/2 binary64)))))) (pow.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) #s(literal 2 binary64))))))
✓cost-diff320
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/2 binary64))) (exp.f64 (neg.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/2 binary64)))))) (pow.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) #s(literal 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 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (-.f64 (log.f64 (cosh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (log.f64 (sinh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))))
✓cost-diff128
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (-.f64 (log.f64 (cosh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (log.f64 (sinh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 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-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
3 898×lower-*.f32
3 876×lower-*.f64
3 494×lower-fma.f64
3 494×lower-fma.f32
1 516×lower-/.f32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
042483
078473
1167432
2452429
31266429
43036429
56157429
08060429
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
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (-.f64 (log.f64 (cosh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (log.f64 (sinh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))))))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (-.f64 (log.f64 (cosh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (log.f64 (sinh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))))
(/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64)))
#s(literal 1 binary64)
(/.f64 (PI.f64) #s(literal 4 binary64))
(PI.f64)
#s(literal 4 binary64)
(-.f64 (log.f64 (cosh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (log.f64 (sinh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))))
(log.f64 (cosh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))
(cosh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))
(*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)
(*.f64 (PI.f64) #s(literal 1/4 binary64))
#s(literal 1/4 binary64)
f
(log.f64 (sinh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))
(sinh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/2 binary64))) (exp.f64 (neg.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/2 binary64)))))) (pow.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) #s(literal 2 binary64))))))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/2 binary64))) (exp.f64 (neg.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/2 binary64)))))) (pow.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64)))
#s(literal 1 binary64)
(/.f64 (PI.f64) #s(literal 4 binary64))
(PI.f64)
#s(literal 4 binary64)
(log.f64 (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/2 binary64))) (exp.f64 (neg.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/2 binary64)))))) (pow.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) #s(literal 2 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/2 binary64))) (exp.f64 (neg.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/2 binary64)))))) (pow.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/2 binary64))) (exp.f64 (neg.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/2 binary64))))))
(-.f64 (exp.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/2 binary64))) (exp.f64 (neg.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/2 binary64)))))
(exp.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/2 binary64)))
(*.f64 (*.f64 (PI.f64) f) #s(literal 1/2 binary64))
(*.f64 (PI.f64) f)
f
#s(literal 1/2 binary64)
(exp.f64 (neg.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/2 binary64))))
(neg.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/2 binary64)))
(pow.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))
#s(literal 2 binary64)
(cosh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))
(*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)
(*.f64 (PI.f64) #s(literal 1/4 binary64))
#s(literal 1/4 binary64)
Outputs
(/.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (*.f64 (PI.f64) #s(literal 1/4 binary64)))
(/.f64 (log.f64 (tanh.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f)))) (*.f64 (PI.f64) #s(literal 1/4 binary64)))
(log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))
(log.f64 (tanh.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f))))
(tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))
(tanh.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f)))
(*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)
(*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f))
(*.f64 (PI.f64) #s(literal 1/4 binary64))
(PI.f64)
#s(literal 1/4 binary64)
f
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 #s(literal 2 binary64) (*.f64 f (*.f64 (PI.f64) #s(literal 1/2 binary64)))))))
(/.f64 (log.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f))) (*.f64 (PI.f64) #s(literal 1/4 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 #s(literal 2 binary64) (*.f64 f (*.f64 (PI.f64) #s(literal 1/2 binary64))))))
(/.f64 (log.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f))) (*.f64 (PI.f64) #s(literal -1/4 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (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 #s(literal 1/4 binary64) (*.f64 (PI.f64) f))))
(/.f64 #s(literal 2 binary64) (*.f64 f (*.f64 (PI.f64) #s(literal 1/2 binary64))))
(/.f64 #s(literal 4 binary64) (*.f64 (PI.f64) f))
#s(literal 2 binary64)
(*.f64 f (*.f64 (PI.f64) #s(literal 1/2 binary64)))
(*.f64 (PI.f64) (*.f64 f #s(literal 1/2 binary64)))
f
(*.f64 (PI.f64) #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))))
(/.f64 (log.f64 (tanh.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f)))) (*.f64 (PI.f64) #s(literal 1/4 binary64)))
#s(literal 1 binary64)
(/.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))))
(/.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) (log.f64 (tanh.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f)))))
(*.f64 (PI.f64) #s(literal 1/4 binary64))
(PI.f64)
#s(literal 1/4 binary64)
(log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))
(log.f64 (tanh.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f))))
(tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))
(tanh.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f)))
(*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)
(*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f))
f
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (-.f64 (log.f64 (cosh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (log.f64 (sinh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))))))
(/.f64 (-.f64 (log.f64 (cosh.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f)))) (log.f64 (sinh.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f))))) (*.f64 (PI.f64) #s(literal -1/4 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (-.f64 (log.f64 (cosh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (log.f64 (sinh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))))
(/.f64 (-.f64 (log.f64 (cosh.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f)))) (log.f64 (sinh.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f))))) (*.f64 (PI.f64) #s(literal 1/4 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (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)
(-.f64 (log.f64 (cosh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (log.f64 (sinh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))))
(-.f64 (log.f64 (cosh.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f)))) (log.f64 (sinh.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f)))))
(log.f64 (cosh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))
(log.f64 (cosh.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f))))
(cosh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))
(cosh.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f)))
(*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)
(*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f))
(*.f64 (PI.f64) #s(literal 1/4 binary64))
#s(literal 1/4 binary64)
f
(log.f64 (sinh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))
(log.f64 (sinh.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f))))
(sinh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))
(sinh.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f)))
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/2 binary64))) (exp.f64 (neg.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/2 binary64)))))) (pow.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 (pow.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f)))) #s(literal 2 binary64)) (-.f64 (exp.f64 (*.f64 (PI.f64) (*.f64 f #s(literal 1/2 binary64)))) (exp.f64 (*.f64 f (*.f64 (PI.f64) #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 #s(literal 1 binary64) (-.f64 (exp.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/2 binary64))) (exp.f64 (neg.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/2 binary64)))))) (pow.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 (pow.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f)))) #s(literal 2 binary64)) (-.f64 (exp.f64 (*.f64 (PI.f64) (*.f64 f #s(literal 1/2 binary64)))) (exp.f64 (*.f64 f (*.f64 (PI.f64) #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 #s(literal 1 binary64) (-.f64 (exp.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/2 binary64))) (exp.f64 (neg.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/2 binary64)))))) (pow.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) #s(literal 2 binary64))))
(log.f64 (/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f)))) #s(literal 2 binary64)) (-.f64 (exp.f64 (*.f64 (PI.f64) (*.f64 f #s(literal 1/2 binary64)))) (exp.f64 (*.f64 f (*.f64 (PI.f64) #s(literal -1/2 binary64)))))))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/2 binary64))) (exp.f64 (neg.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/2 binary64)))))) (pow.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) #s(literal 2 binary64)))
(/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f)))) #s(literal 2 binary64)) (-.f64 (exp.f64 (*.f64 (PI.f64) (*.f64 f #s(literal 1/2 binary64)))) (exp.f64 (*.f64 f (*.f64 (PI.f64) #s(literal -1/2 binary64))))))
(/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/2 binary64))) (exp.f64 (neg.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/2 binary64))))))
(/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (*.f64 (PI.f64) (*.f64 f #s(literal 1/2 binary64)))) (exp.f64 (*.f64 f (*.f64 (PI.f64) #s(literal -1/2 binary64))))))
(-.f64 (exp.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/2 binary64))) (exp.f64 (neg.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/2 binary64)))))
(-.f64 (exp.f64 (*.f64 (PI.f64) (*.f64 f #s(literal 1/2 binary64)))) (exp.f64 (*.f64 f (*.f64 (PI.f64) #s(literal -1/2 binary64)))))
(exp.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (PI.f64) (*.f64 f #s(literal 1/2 binary64))))
(*.f64 (*.f64 (PI.f64) f) #s(literal 1/2 binary64))
(*.f64 (PI.f64) (*.f64 f #s(literal 1/2 binary64)))
(*.f64 (PI.f64) f)
f
#s(literal 1/2 binary64)
(exp.f64 (neg.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/2 binary64))))
(exp.f64 (*.f64 f (*.f64 (PI.f64) #s(literal -1/2 binary64))))
(neg.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/2 binary64)))
(*.f64 f (*.f64 (PI.f64) #s(literal -1/2 binary64)))
(pow.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) #s(literal 2 binary64))
(pow.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f)))) #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))
(*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f))))
#s(literal 2 binary64)
(cosh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))
(cosh.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f)))
(*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)
(*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f))
(*.f64 (PI.f64) #s(literal 1/4 binary64))
#s(literal 1/4 binary64)

localize875.0ms (4.7%)

Memory
20.7MiB live, 979.5MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
✓accuracy99.4%
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/2 binary64))) (exp.f64 (neg.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/2 binary64)))))) (pow.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) #s(literal 2 binary64)))))
✓accuracy98.9%
(log.f64 (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/2 binary64))) (exp.f64 (neg.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/2 binary64)))))) (pow.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) #s(literal 2 binary64))))
✓accuracy96.2%
(PI.f64)
✓accuracy13.9%
(-.f64 (exp.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/2 binary64))) (exp.f64 (neg.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/2 binary64)))))
✓accuracy99.4%
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (-.f64 (log.f64 (cosh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (log.f64 (sinh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))))
✓accuracy98.9%
(-.f64 (log.f64 (cosh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (log.f64 (sinh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))))
✓accuracy96.2%
(PI.f64)
✓accuracy58.0%
(log.f64 (cosh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))
✓accuracy99.6%
(*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)
✓accuracy99.6%
(/.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))))
✓accuracy98.9%
(log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))
✓accuracy96.2%
(PI.f64)
✓accuracy99.6%
(*.f64 f (*.f64 (PI.f64) #s(literal 1/2 binary64)))
✓accuracy99.6%
(/.f64 #s(literal 2 binary64) (*.f64 f (*.f64 (PI.f64) #s(literal 1/2 binary64))))
✓accuracy99.4%
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 #s(literal 2 binary64) (*.f64 f (*.f64 (PI.f64) #s(literal 1/2 binary64))))))
✓accuracy96.2%
(PI.f64)
✓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)))
✓accuracy98.9%
(log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))
✓accuracy96.2%
(PI.f64)
Samples
382.0ms169×2valid
216.0ms10×5exit
89.0ms68×1valid
25.0ms1×3valid
4.0ms8×0valid
Compiler

Compiled 485 to 44 computations (90.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 642.0ms
ival-log: 273.0ms (42.5% of total)
ival-sinh: 111.0ms (17.3% of total)
ival-div: 55.0ms (8.6% of total)
ival-cosh: 50.0ms (7.8% of total)
ival-mult: 40.0ms (6.2% of total)
ival-neg: 34.0ms (5.3% of total)
ival-exp: 28.0ms (4.4% of total)
adjust: 20.0ms (3.1% of total)
ival-tanh: 14.0ms (2.2% of total)
ival-pow2: 6.0ms (0.9% of total)
ival-sub: 6.0ms (0.9% of total)
ival-pi: 3.0ms (0.5% of total)
exact: 1.0ms (0.2% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series571.0ms (3%)

Memory
-16.3MiB live, 740.5MiB allocated
Counts
23 → 228
Calls
Call 1
Inputs
#s(alt (/.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (*.f64 (PI.f64) #s(literal 1/4 binary64))) (patch (/.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (*.f64 (PI.f64) #s(literal 1/4 binary64))) #<representation binary64>) () ())
#s(alt (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (patch (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) #<representation binary64>) () ())
#s(alt (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)) (patch (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f) (patch (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f) #<representation binary64>) () ())
#s(alt (/.f64 (PI.f64) #s(literal 4 binary64)) (patch (/.f64 (PI.f64) #s(literal 4 binary64)) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (patch (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 2 binary64) (*.f64 f (*.f64 (PI.f64) #s(literal 1/2 binary64)))) (patch (/.f64 #s(literal 2 binary64) (*.f64 f (*.f64 (PI.f64) #s(literal 1/2 binary64)))) #<representation binary64>) () ())
#s(alt (log.f64 (/.f64 #s(literal 2 binary64) (*.f64 f (*.f64 (PI.f64) #s(literal 1/2 binary64))))) (patch (log.f64 (/.f64 #s(literal 2 binary64) (*.f64 f (*.f64 (PI.f64) #s(literal 1/2 binary64))))) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))))) (patch (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))))) #<representation binary64>) () ())
#s(alt (/.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))) (patch (/.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))) #<representation binary64>) () ())
#s(alt (*.f64 (PI.f64) #s(literal 1/4 binary64)) (patch (*.f64 (PI.f64) #s(literal 1/4 binary64)) #<representation binary64>) () ())
#s(alt (PI.f64) (patch (PI.f64) #<representation binary64>) () ())
#s(alt (neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (-.f64 (log.f64 (cosh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (log.f64 (sinh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))))) (patch (neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (-.f64 (log.f64 (cosh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (log.f64 (sinh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))))) #<representation binary64>) () ())
#s(alt (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (-.f64 (log.f64 (cosh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (log.f64 (sinh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))))) (patch (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (-.f64 (log.f64 (cosh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (log.f64 (sinh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))))) #<representation binary64>) () ())
#s(alt (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/2 binary64))) (exp.f64 (neg.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/2 binary64)))))) (pow.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) #s(literal 2 binary64))) (patch (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/2 binary64))) (exp.f64 (neg.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/2 binary64)))))) (pow.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) #s(literal 2 binary64))) #<representation binary64>) () ())
#s(alt (neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/2 binary64))) (exp.f64 (neg.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/2 binary64)))))) (pow.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) #s(literal 2 binary64)))))) (patch (neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/2 binary64))) (exp.f64 (neg.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/2 binary64)))))) (pow.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) #s(literal 2 binary64)))))) #<representation binary64>) () ())
#s(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)))))) (patch (*.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)))))) #<representation binary64>) () ())
#s(alt (*.f64 f (*.f64 (PI.f64) #s(literal 1/2 binary64))) (patch (*.f64 f (*.f64 (PI.f64) #s(literal 1/2 binary64))) #<representation binary64>) () ())
#s(alt (log.f64 (cosh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (patch (log.f64 (cosh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) #<representation binary64>) () ())
#s(alt (-.f64 (log.f64 (cosh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (log.f64 (sinh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))) (patch (-.f64 (log.f64 (cosh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (log.f64 (sinh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))) #<representation binary64>) () ())
#s(alt (-.f64 (exp.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/2 binary64))) (exp.f64 (neg.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/2 binary64))))) (patch (-.f64 (exp.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/2 binary64))) (exp.f64 (neg.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/2 binary64))))) #<representation binary64>) () ())
#s(alt (log.f64 (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/2 binary64))) (exp.f64 (neg.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/2 binary64)))))) (pow.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) #s(literal 2 binary64)))) (patch (log.f64 (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/2 binary64))) (exp.f64 (neg.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/2 binary64)))))) (pow.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) #s(literal 2 binary64)))) #<representation binary64>) () ())
#s(alt (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/2 binary64))) (exp.f64 (neg.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/2 binary64)))))) (pow.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) #s(literal 2 binary64))))) (patch (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/2 binary64))) (exp.f64 (neg.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/2 binary64)))))) (pow.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) #s(literal 2 binary64))))) #<representation binary64>) () ())
Outputs
#s(alt (* 4 (/ (+ (log f) (log (* 1/4 (PI)))) (PI))) (taylor 0 f) (#s(alt (/.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (*.f64 (PI.f64) #s(literal 1/4 binary64))) (patch (/.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (*.f64 (PI.f64) #s(literal 1/4 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (* 4 (/ (+ (log f) (log (* 1/4 (PI)))) (PI))) (* 8 (/ (* f (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2)))) (pow (PI) 2)))) (taylor 0 f) (#s(alt (/.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (*.f64 (PI.f64) #s(literal 1/4 binary64))) (patch (/.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (*.f64 (PI.f64) #s(literal 1/4 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (* 4 (/ (+ (log f) (log (* 1/4 (PI)))) (PI))) (* f (+ (* 2 (/ (* f (+ (* -4 (/ (pow (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) 2) (pow (PI) 2))) (* 8 (/ (- (* 1/2 (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (+ (* -1/128 (pow (PI) 3)) (* 1/192 (pow (PI) 3))))) (* 1/128 (pow (PI) 3))) (PI))))) (PI))) (* 8 (/ (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) (pow (PI) 2)))))) (taylor 0 f) (#s(alt (/.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (*.f64 (PI.f64) #s(literal 1/4 binary64))) (patch (/.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (*.f64 (PI.f64) #s(literal 1/4 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (* 4 (/ (+ (log f) (log (* 1/4 (PI)))) (PI))) (* f (+ (* 8 (/ (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) (pow (PI) 2))) (* f (+ (* 2/3 (/ (* f (+ (* -48 (/ (* (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) (- (* 1/2 (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (+ (* -1/128 (pow (PI) 3)) (* 1/192 (pow (PI) 3))))) (* 1/128 (pow (PI) 3)))) (pow (PI) 2))) (+ (* 16 (/ (pow (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) 3) (pow (PI) 3))) (* 24 (/ (- (* 1/2 (+ (* -1/4 (* (PI) (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (+ (* -1/128 (pow (PI) 3)) (* 1/384 (pow (PI) 3)))))) (+ (* -1/32 (* (pow (PI) 2) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (+ (* -1/1536 (pow (PI) 4)) (* 1/3072 (pow (PI) 4)))))) (+ (* -1/8 (* (PI) (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (* -1/128 (pow (PI) 3))))) (* 1/64 (* (pow (PI) 2) (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))))))) (PI)))))) (PI))) (* 2 (/ (+ (* -4 (/ (pow (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) 2) (pow (PI) 2))) (* 8 (/ (- (* 1/2 (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (+ (* -1/128 (pow (PI) 3)) (* 1/192 (pow (PI) 3))))) (* 1/128 (pow (PI) 3))) (PI)))) (PI)))))))) (taylor 0 f) (#s(alt (/.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (*.f64 (PI.f64) #s(literal 1/4 binary64))) (patch (/.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (*.f64 (PI.f64) #s(literal 1/4 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 4 (/ (log (/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))) (PI))) (taylor inf f) (#s(alt (/.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (*.f64 (PI.f64) #s(literal 1/4 binary64))) (patch (/.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (*.f64 (PI.f64) #s(literal 1/4 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 4 (/ (log (/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))) (PI))) (taylor inf f) (#s(alt (/.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (*.f64 (PI.f64) #s(literal 1/4 binary64))) (patch (/.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (*.f64 (PI.f64) #s(literal 1/4 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 4 (/ (log (/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))) (PI))) (taylor inf f) (#s(alt (/.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (*.f64 (PI.f64) #s(literal 1/4 binary64))) (patch (/.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (*.f64 (PI.f64) #s(literal 1/4 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 4 (/ (log (/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))) (PI))) (taylor inf f) (#s(alt (/.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (*.f64 (PI.f64) #s(literal 1/4 binary64))) (patch (/.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (*.f64 (PI.f64) #s(literal 1/4 binary64))) #<representation binary64>) () ())) ())
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#s(alt (* 4 (/ (log (/ (pow (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) 2) (- (exp (* 1/2 (* f (PI)))) (exp (neg (* 1/2 (* f (PI)))))))) (PI))) (taylor inf f) (#s(alt (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/2 binary64))) (exp.f64 (neg.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/2 binary64)))))) (pow.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) #s(literal 2 binary64))))) (patch (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/2 binary64))) (exp.f64 (neg.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/2 binary64)))))) (pow.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) #s(literal 2 binary64))))) #<representation binary64>) () ())) ())
#s(alt (* 4 (/ (log (/ (pow (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) 2) (- (exp (* 1/2 (* f (PI)))) (exp (neg (* 1/2 (* f (PI)))))))) (PI))) (taylor inf f) (#s(alt (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/2 binary64))) (exp.f64 (neg.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/2 binary64)))))) (pow.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) #s(literal 2 binary64))))) (patch (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/2 binary64))) (exp.f64 (neg.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/2 binary64)))))) (pow.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) #s(literal 2 binary64))))) #<representation binary64>) () ())) ())
#s(alt (* 4 (/ (log (/ (pow (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) 2) (- (exp (* 1/2 (* f (PI)))) (exp (neg (* 1/2 (* f (PI)))))))) (PI))) (taylor inf f) (#s(alt (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/2 binary64))) (exp.f64 (neg.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/2 binary64)))))) (pow.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) #s(literal 2 binary64))))) (patch (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/2 binary64))) (exp.f64 (neg.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/2 binary64)))))) (pow.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) #s(literal 2 binary64))))) #<representation binary64>) () ())) ())
#s(alt (* 4 (/ (log (/ (pow (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) 2) (- (exp (* 1/2 (* f (PI)))) (exp (neg (* 1/2 (* f (PI)))))))) (PI))) (taylor inf f) (#s(alt (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/2 binary64))) (exp.f64 (neg.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/2 binary64)))))) (pow.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) #s(literal 2 binary64))))) (patch (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/2 binary64))) (exp.f64 (neg.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/2 binary64)))))) (pow.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) #s(literal 2 binary64))))) #<representation binary64>) () ())) ())
#s(alt (* 4 (/ (log (/ (pow (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) 2) (- (exp (* 1/2 (* f (PI)))) (exp (neg (* 1/2 (* f (PI)))))))) (PI))) (taylor -inf f) (#s(alt (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/2 binary64))) (exp.f64 (neg.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/2 binary64)))))) (pow.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) #s(literal 2 binary64))))) (patch (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/2 binary64))) (exp.f64 (neg.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/2 binary64)))))) (pow.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) #s(literal 2 binary64))))) #<representation binary64>) () ())) ())
#s(alt (* 4 (/ (log (/ (pow (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) 2) (- (exp (* 1/2 (* f (PI)))) (exp (neg (* 1/2 (* f (PI)))))))) (PI))) (taylor -inf f) (#s(alt (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/2 binary64))) (exp.f64 (neg.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/2 binary64)))))) (pow.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) #s(literal 2 binary64))))) (patch (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/2 binary64))) (exp.f64 (neg.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/2 binary64)))))) (pow.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) #s(literal 2 binary64))))) #<representation binary64>) () ())) ())
#s(alt (* 4 (/ (log (/ (pow (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) 2) (- (exp (* 1/2 (* f (PI)))) (exp (neg (* 1/2 (* f (PI)))))))) (PI))) (taylor -inf f) (#s(alt (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/2 binary64))) (exp.f64 (neg.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/2 binary64)))))) (pow.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) #s(literal 2 binary64))))) (patch (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/2 binary64))) (exp.f64 (neg.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/2 binary64)))))) (pow.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) #s(literal 2 binary64))))) #<representation binary64>) () ())) ())
#s(alt (* 4 (/ (log (/ (pow (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) 2) (- (exp (* 1/2 (* f (PI)))) (exp (neg (* 1/2 (* f (PI)))))))) (PI))) (taylor -inf f) (#s(alt (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/2 binary64))) (exp.f64 (neg.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/2 binary64)))))) (pow.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) #s(literal 2 binary64))))) (patch (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/2 binary64))) (exp.f64 (neg.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/2 binary64)))))) (pow.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) #s(literal 2 binary64))))) #<representation binary64>) () ())) ())
Calls

57 calls:

TimeVariablePointExpression
137.0ms
f
@-inf
(neg (* (/ 1 (/ (PI) 4)) (- (log (cosh (* (* (PI) 1/4) f))) (log (sinh (* (* (PI) 1/4) f))))))
118.0ms
f
@0
(* (* (PI) 1/4) f)
86.0ms
f
@-inf
(/ (log (tanh (* (* (PI) 1/4) f))) (* (PI) 1/4))
46.0ms
f
@inf
(neg (* (/ 1 (/ (PI) 4)) (- (log (cosh (* (* (PI) 1/4) f))) (log (sinh (* (* (PI) 1/4) f))))))
31.0ms
f
@inf
(/ (log (tanh (* (* (PI) 1/4) f))) (* (PI) 1/4))

rewrite409.0ms (2.2%)

Memory
-3.4MiB live, 470.3MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
3 918×lower-/.f32
3 904×lower-/.f64
3 636×lower-*.f32
3 616×lower-*.f64
1 874×lower-fma.f64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
041302
076223
1272207
21629170
08392170
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
23 → 1 819
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)
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (-.f64 (log.f64 (cosh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (log.f64 (sinh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))))))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (-.f64 (log.f64 (cosh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (log.f64 (sinh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/2 binary64))) (exp.f64 (neg.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/2 binary64)))))) (pow.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) #s(literal 2 binary64)))
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/2 binary64))) (exp.f64 (neg.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/2 binary64)))))) (pow.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) #s(literal 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 f (*.f64 (PI.f64) #s(literal 1/2 binary64)))
(log.f64 (cosh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))
(-.f64 (log.f64 (cosh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (log.f64 (sinh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))))
(-.f64 (exp.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/2 binary64))) (exp.f64 (neg.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/2 binary64)))))
(log.f64 (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/2 binary64))) (exp.f64 (neg.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/2 binary64)))))) (pow.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) #s(literal 2 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/2 binary64))) (exp.f64 (neg.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/2 binary64)))))) (pow.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) #s(literal 2 binary64)))))
Outputs
(+.f64 #s(literal 0 binary64) (/.f64 (log.f64 (tanh.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f)))) (*.f64 (PI.f64) #s(literal 1/4 binary64))))
(+.f64 (*.f64 (neg.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (log.f64 (cosh.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f))))) (*.f64 (neg.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (neg.f64 (log.f64 (sinh.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f)))))))
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simplify366.0ms (2%)

Memory
28.1MiB live, 456.3MiB allocated
Algorithm
1×egg-herbie
Rules
6 710×lower-fma.f64
6 710×lower-fma.f32
5 356×lower-*.f64
5 356×lower-*.f32
2 496×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
05138283
116727172
271376242
083975990
Stop Event
1×iter limit
1×node limit
Counts
228 → 228
Calls
Call 1
Inputs
(* 4 (/ (+ (log f) (log (* 1/4 (PI)))) (PI)))
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(+ (* 4 (/ (+ (log (/ 4 (- (* 1/2 (PI)) (* -1/2 (PI))))) (* -1 (log f))) (PI))) (* (pow f 2) (+ (* -4 (/ (* f (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (* -1/128 (pow (PI) 3)))) (PI))) (* 4 (/ (* (- (* 1/2 (PI)) (* -1/2 (PI))) (- (+ (* -1/48 (/ (pow (PI) 3) (pow (- (* 1/2 (PI)) (* -1/2 (PI))) 2))) (* 1/16 (/ (pow (PI) 2) (- (* 1/2 (PI)) (* -1/2 (PI)))))) (* 1/48 (/ (pow (PI) 3) (pow (- (* 1/2 (PI)) (* -1/2 (PI))) 2))))) (PI))))))
(fma.f64 (*.f64 f f) (fma.f64 #s(literal 4 binary64) (*.f64 (fma.f64 (PI.f64) #s(literal 1/16 binary64) (fma.f64 (PI.f64) #s(literal -1/48 binary64) (*.f64 (PI.f64) #s(literal -1/48 binary64)))) #s(literal 1 binary64)) (/.f64 (*.f64 (*.f64 f #s(literal -4 binary64)) (fma.f64 (PI.f64) (*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal -1/32 binary64)) #s(literal -1/4 binary64)) (*.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal -1/128 binary64))))) (PI.f64))) (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (log.f64 f))) (PI.f64)))
(+ (* 4 (/ (+ (log (/ 4 (- (* 1/2 (PI)) (* -1/2 (PI))))) (* -1 (log f))) (PI))) (* (pow f 2) (+ (* 4 (/ (* (- (* 1/2 (PI)) (* -1/2 (PI))) (- (+ (* -1/48 (/ (pow (PI) 3) (pow (- (* 1/2 (PI)) (* -1/2 (PI))) 2))) (* 1/16 (/ (pow (PI) 2) (- (* 1/2 (PI)) (* -1/2 (PI)))))) (* 1/48 (/ (pow (PI) 3) (pow (- (* 1/2 (PI)) (* -1/2 (PI))) 2))))) (PI))) (* f (+ (* -4 (/ (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (* -1/128 (pow (PI) 3))) (PI))) (* 1/6 (/ (* f (+ (* -12 (* (pow (- (* 1/2 (PI)) (* -1/2 (PI))) 2) (pow (- (+ (* -1/48 (/ (pow (PI) 3) (pow (- (* 1/2 (PI)) (* -1/2 (PI))) 2))) (* 1/16 (/ (pow (PI) 2) (- (* 1/2 (PI)) (* -1/2 (PI)))))) (* 1/48 (/ (pow (PI) 3) (pow (- (* 1/2 (PI)) (* -1/2 (PI))) 2)))) 2))) (* 24 (* (- (* 1/2 (PI)) (* -1/2 (PI))) (- (+ (* -1 (/ (+ (* -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)))) (- (* 1/2 (PI)) (* -1/2 (PI))))) (+ (* -1/3840 (/ (pow (PI) 5) (pow (- (* 1/2 (PI)) (* -1/2 (PI))) 2))) (* 1/1024 (/ (pow (PI) 4) (- (* 1/2 (PI)) (* -1/2 (PI))))))) (+ (* 1/3840 (/ (pow (PI) 5) (pow (- (* 1/2 (PI)) (* -1/2 (PI))) 2))) (/ (* (- (* 1/48 (pow (PI) 3)) (* -1/48 (pow (PI) 3))) (- (+ (* -1/48 (/ (pow (PI) 3) (pow (- (* 1/2 (PI)) (* -1/2 (PI))) 2))) (* 1/16 (/ (pow (PI) 2) (- (* 1/2 (PI)) (* -1/2 (PI)))))) (* 1/48 (/ (pow (PI) 3) (pow (- (* 1/2 (PI)) (* -1/2 (PI))) 2))))) (- (* 1/2 (PI)) (* -1/2 (PI)))))))))) (PI))))))))
(fma.f64 #s(literal 4 binary64) (/.f64 (-.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (log.f64 f)) (PI.f64)) (*.f64 (*.f64 f f) (fma.f64 f (fma.f64 #s(literal 1/6 binary64) (*.f64 (fma.f64 (PI.f64) (*.f64 (-.f64 (fma.f64 #s(literal -1/3840 binary64) (/.f64 (pow.f64 (PI.f64) #s(literal 5 binary64)) (*.f64 (PI.f64) (PI.f64))) (fma.f64 #s(literal 1/1024 binary64) (/.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (PI.f64))) (PI.f64)) (fma.f64 (*.f64 #s(literal -1/24 binary64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) (/.f64 (fma.f64 (PI.f64) #s(literal 1/16 binary64) (fma.f64 (PI.f64) #s(literal -1/48 binary64) (*.f64 (PI.f64) #s(literal -1/48 binary64)))) (PI.f64)) (/.f64 (*.f64 #s(literal -1/3840 binary64) (pow.f64 (PI.f64) #s(literal 5 binary64))) (*.f64 (PI.f64) (PI.f64)))))) (/.f64 (fma.f64 (PI.f64) (*.f64 (fma.f64 (PI.f64) (*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal -1/32 binary64)) #s(literal -1/4 binary64)) (*.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal -1/192 binary64)))) #s(literal -1/4 binary64)) (fma.f64 #s(literal -1/1536 binary64) (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (PI.f64))) (*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/1024 binary64)))) (PI.f64))) #s(literal 24 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal -12 binary64)) (fma.f64 (PI.f64) #s(literal 1/16 binary64) (fma.f64 (PI.f64) #s(literal -1/48 binary64) (*.f64 (PI.f64) #s(literal -1/48 binary64))))) (fma.f64 (PI.f64) #s(literal 1/16 binary64) (fma.f64 (PI.f64) #s(literal -1/48 binary64) (*.f64 (PI.f64) #s(literal -1/48 binary64)))))) (/.f64 f (PI.f64))) (*.f64 (/.f64 #s(literal -4 binary64) (PI.f64)) (fma.f64 (PI.f64) (*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal -1/32 binary64)) #s(literal -1/4 binary64)) (*.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal -1/128 binary64)))))) (*.f64 #s(literal 4 binary64) (*.f64 (fma.f64 (PI.f64) #s(literal 1/16 binary64) (fma.f64 (PI.f64) #s(literal -1/48 binary64) (*.f64 (PI.f64) #s(literal -1/48 binary64)))) #s(literal 1 binary64))))))
(* 4 (/ (log (/ (pow (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) 2) (- (exp (* 1/2 (* f (PI)))) (exp (neg (* 1/2 (* f (PI)))))))) (PI)))
(/.f64 (*.f64 #s(literal 4 binary64) (log.f64 (/.f64 (pow.f64 (+.f64 (exp.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))) (exp.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 f (PI.f64))))) #s(literal 2 binary64)) (-.f64 (exp.f64 (*.f64 f (*.f64 (PI.f64) #s(literal 1/2 binary64)))) (exp.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal -1/2 binary64))))))) (PI.f64))
(* 4 (/ (log (/ (pow (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) 2) (- (exp (* 1/2 (* f (PI)))) (exp (neg (* 1/2 (* f (PI)))))))) (PI)))
(/.f64 (*.f64 #s(literal 4 binary64) (log.f64 (/.f64 (pow.f64 (+.f64 (exp.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))) (exp.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 f (PI.f64))))) #s(literal 2 binary64)) (-.f64 (exp.f64 (*.f64 f (*.f64 (PI.f64) #s(literal 1/2 binary64)))) (exp.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal -1/2 binary64))))))) (PI.f64))
(* 4 (/ (log (/ (pow (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) 2) (- (exp (* 1/2 (* f (PI)))) (exp (neg (* 1/2 (* f (PI)))))))) (PI)))
(/.f64 (*.f64 #s(literal 4 binary64) (log.f64 (/.f64 (pow.f64 (+.f64 (exp.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))) (exp.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 f (PI.f64))))) #s(literal 2 binary64)) (-.f64 (exp.f64 (*.f64 f (*.f64 (PI.f64) #s(literal 1/2 binary64)))) (exp.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal -1/2 binary64))))))) (PI.f64))
(* 4 (/ (log (/ (pow (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) 2) (- (exp (* 1/2 (* f (PI)))) (exp (neg (* 1/2 (* f (PI)))))))) (PI)))
(/.f64 (*.f64 #s(literal 4 binary64) (log.f64 (/.f64 (pow.f64 (+.f64 (exp.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))) (exp.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 f (PI.f64))))) #s(literal 2 binary64)) (-.f64 (exp.f64 (*.f64 f (*.f64 (PI.f64) #s(literal 1/2 binary64)))) (exp.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal -1/2 binary64))))))) (PI.f64))
(* 4 (/ (log (/ (pow (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) 2) (- (exp (* 1/2 (* f (PI)))) (exp (neg (* 1/2 (* f (PI)))))))) (PI)))
(/.f64 (*.f64 #s(literal 4 binary64) (log.f64 (/.f64 (pow.f64 (+.f64 (exp.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))) (exp.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 f (PI.f64))))) #s(literal 2 binary64)) (-.f64 (exp.f64 (*.f64 f (*.f64 (PI.f64) #s(literal 1/2 binary64)))) (exp.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal -1/2 binary64))))))) (PI.f64))
(* 4 (/ (log (/ (pow (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) 2) (- (exp (* 1/2 (* f (PI)))) (exp (neg (* 1/2 (* f (PI)))))))) (PI)))
(/.f64 (*.f64 #s(literal 4 binary64) (log.f64 (/.f64 (pow.f64 (+.f64 (exp.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))) (exp.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 f (PI.f64))))) #s(literal 2 binary64)) (-.f64 (exp.f64 (*.f64 f (*.f64 (PI.f64) #s(literal 1/2 binary64)))) (exp.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal -1/2 binary64))))))) (PI.f64))
(* 4 (/ (log (/ (pow (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) 2) (- (exp (* 1/2 (* f (PI)))) (exp (neg (* 1/2 (* f (PI)))))))) (PI)))
(/.f64 (*.f64 #s(literal 4 binary64) (log.f64 (/.f64 (pow.f64 (+.f64 (exp.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))) (exp.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 f (PI.f64))))) #s(literal 2 binary64)) (-.f64 (exp.f64 (*.f64 f (*.f64 (PI.f64) #s(literal 1/2 binary64)))) (exp.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal -1/2 binary64))))))) (PI.f64))
(* 4 (/ (log (/ (pow (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) 2) (- (exp (* 1/2 (* f (PI)))) (exp (neg (* 1/2 (* f (PI)))))))) (PI)))
(/.f64 (*.f64 #s(literal 4 binary64) (log.f64 (/.f64 (pow.f64 (+.f64 (exp.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))) (exp.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 f (PI.f64))))) #s(literal 2 binary64)) (-.f64 (exp.f64 (*.f64 f (*.f64 (PI.f64) #s(literal 1/2 binary64)))) (exp.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal -1/2 binary64))))))) (PI.f64))

eval794.0ms (4.2%)

Memory
-26.1MiB live, 1 050.0MiB allocated
Compiler

Compiled 101 991 to 9 948 computations (90.2% saved)

prune425.0ms (2.3%)

Memory
-42.1MiB live, 811.2MiB allocated
Pruning

22 alts after pruning (20 fresh and 2 done)

PrunedKeptTotal
New3 345173 362
Fresh9312
Picked325
Done000
Total3 357223 379
Accuracy
99.9%
Counts
3 379 → 22
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶98.1%
(/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (/.f64 #s(literal 1 binary64) (log.f64 (tanh.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f))))))
11.9%
(/.f64 (-.f64 (log1p.f64 (neg.f64 (exp.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f)) #s(literal -2 binary64))))) (log1p.f64 (exp.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f)) #s(literal -2 binary64))))) (*.f64 (PI.f64) #s(literal 1/4 binary64)))
94.0%
(/.f64 (+.f64 (neg.f64 (log.f64 (cosh.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f))))) (log.f64 (sinh.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f))))) (*.f64 (PI.f64) #s(literal 1/4 binary64)))
▶92.7%
(/.f64 (log.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))) (*.f64 (PI.f64) #s(literal 1/4 binary64)))
97.9%
(/.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64)))) #s(literal 1/4 binary64)))
✓98.3%
(/.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (*.f64 (PI.f64) #s(literal 1/4 binary64)))
92.7%
(/.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))))))
✓98.3%
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))))
98.1%
(*.f64 (/.f64 (log.f64 (tanh.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f)))) (sqrt.f64 (PI.f64))) (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64))))
92.8%
(*.f64 (-.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (log.f64 f)) (/.f64 #s(literal -4 binary64) (PI.f64)))
98.1%
(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))))
92.7%
(neg.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/4 binary64) (/.f64 (neg.f64 (log.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f)))) (PI.f64)))))
92.6%
(neg.f64 (-.f64 (/.f64 (neg.f64 (log.f64 (*.f64 f #s(literal 1/2 binary64)))) (*.f64 (PI.f64) #s(literal 1/4 binary64))) (/.f64 (log.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) (*.f64 (PI.f64) #s(literal 1/4 binary64)))))
▶92.6%
(neg.f64 (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) (*.f64 (PI.f64) #s(literal 1/4 binary64))) (/.f64 (log.f64 (*.f64 f (*.f64 (PI.f64) #s(literal 1/2 binary64)))) (*.f64 (PI.f64) #s(literal 1/4 binary64)))))
92.5%
(neg.f64 (*.f64 (/.f64 (neg.f64 (log.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f)))) (sqrt.f64 (PI.f64))) (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64)))))
92.7%
(neg.f64 (*.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (neg.f64 (log.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f))))))
93.4%
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (fma.f64 (fma.f64 (PI.f64) #s(literal 1/16 binary64) (fma.f64 (PI.f64) #s(literal -1/48 binary64) (*.f64 (PI.f64) #s(literal -1/48 binary64)))) (*.f64 #s(literal 4 binary64) (*.f64 f f)) (/.f64 #s(literal 4 binary64) (PI.f64))) f))))
93.4%
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (fma.f64 (*.f64 f f) (fma.f64 #s(literal 4 binary64) (fma.f64 (PI.f64) #s(literal 1/16 binary64) (fma.f64 (PI.f64) #s(literal -1/48 binary64) (*.f64 (PI.f64) #s(literal -1/48 binary64)))) (/.f64 (*.f64 (*.f64 f #s(literal -4 binary64)) (fma.f64 (PI.f64) (*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal -1/32 binary64)) #s(literal -1/4 binary64)) (*.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal -1/128 binary64))))) (PI.f64))) (/.f64 #s(literal 4 binary64) (PI.f64))) f))))
▶92.7%
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 #s(literal 0 binary64) (/.f64 #s(literal 4 binary64) (PI.f64))) f))))
▶92.7%
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) (*.f64 f #s(literal 1/2 binary64))))))))
91.4%
(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)))))))
92.2%
(neg.f64 (*.f64 (*.f64 (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64)))) (log.f64 (/.f64 #s(literal 2 binary64) (*.f64 f (*.f64 (PI.f64) #s(literal 1/2 binary64)))))))
Compiler

Compiled 806 to 584 computations (27.5% saved)

simplify179.0ms (1%)

Memory
20.1MiB live, 295.3MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(log.f64 #s(literal 2 binary64))
✓cost-diff0
(/.f64 (log.f64 #s(literal 2 binary64)) (*.f64 (PI.f64) #s(literal 1/4 binary64)))
✓cost-diff128
(neg.f64 (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) (*.f64 (PI.f64) #s(literal 1/4 binary64))) (/.f64 (log.f64 (*.f64 f (*.f64 (PI.f64) #s(literal 1/2 binary64)))) (*.f64 (PI.f64) #s(literal 1/4 binary64)))))
✓cost-diff1024
(-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) (*.f64 (PI.f64) #s(literal 1/4 binary64))) (/.f64 (log.f64 (*.f64 f (*.f64 (PI.f64) #s(literal 1/2 binary64)))) (*.f64 (PI.f64) #s(literal 1/4 binary64))))
✓cost-diff320
(/.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) (*.f64 f #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)) (*.f64 (sqrt.f64 (PI.f64)) (*.f64 f #s(literal 1/2 binary64))))
✓cost-diff256
(log.f64 (/.f64 (+.f64 #s(literal 0 binary64) (/.f64 #s(literal 4 binary64) (PI.f64))) f))
✓cost-diff320
(/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64)))
✓cost-diff384
(/.f64 (+.f64 #s(literal 0 binary64) (/.f64 #s(literal 4 binary64) (PI.f64))) f)
✓cost-diff384
(/.f64 (PI.f64) #s(literal 4 binary64))
✓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 #s(literal 1 binary64) (log.f64 (tanh.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f)))))
✓cost-diff0
(PI.f64)
✓cost-diff0
(/.f64 #s(literal 4 binary64) (PI.f64))
✓cost-diff1088
(/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (/.f64 #s(literal 1 binary64) (log.f64 (tanh.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f))))))
Rules
3 042×lower-fma.f64
3 042×lower-fma.f32
2 966×lower-*.f32
2 944×lower-*.f64
1 378×lower-/.f32
Iterations

Useful iterations: 5 (0.0ms)

IterNodesCost
043315
079275
1157261
2375260
3969260
42187255
54540252
66611252
08087252
Stop Event
1×iter limit
1×node limit
1×iter limit
Calls
Call 1
Inputs
(/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (/.f64 #s(literal 1 binary64) (log.f64 (tanh.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f))))))
(/.f64 #s(literal 4 binary64) (PI.f64))
#s(literal 4 binary64)
(PI.f64)
(/.f64 #s(literal 1 binary64) (log.f64 (tanh.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f)))))
#s(literal 1 binary64)
(log.f64 (tanh.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f))))
(tanh.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f)))
(*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f))
#s(literal 1/4 binary64)
(*.f64 (PI.f64) f)
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)))
f
(*.f64 #s(literal 1/4 binary64) (PI.f64))
#s(literal 1/4 binary64)
(PI.f64)
(*.f64 (PI.f64) #s(literal 1/4 binary64))
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 #s(literal 0 binary64) (/.f64 #s(literal 4 binary64) (PI.f64))) f))))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 #s(literal 0 binary64) (/.f64 #s(literal 4 binary64) (PI.f64))) f)))
(/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64)))
#s(literal 1 binary64)
(/.f64 (PI.f64) #s(literal 4 binary64))
(PI.f64)
#s(literal 4 binary64)
(log.f64 (/.f64 (+.f64 #s(literal 0 binary64) (/.f64 #s(literal 4 binary64) (PI.f64))) f))
(/.f64 (+.f64 #s(literal 0 binary64) (/.f64 #s(literal 4 binary64) (PI.f64))) f)
(+.f64 #s(literal 0 binary64) (/.f64 #s(literal 4 binary64) (PI.f64)))
#s(literal 0 binary64)
(/.f64 #s(literal 4 binary64) (PI.f64))
f
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) (*.f64 f #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 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) (*.f64 f #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 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) (*.f64 f #s(literal 1/2 binary64))))))
(/.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) (*.f64 f #s(literal 1/2 binary64)))))
#s(literal 2 binary64)
(*.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) (*.f64 f #s(literal 1/2 binary64))))
(sqrt.f64 (PI.f64))
(*.f64 (sqrt.f64 (PI.f64)) (*.f64 f #s(literal 1/2 binary64)))
(*.f64 f #s(literal 1/2 binary64))
f
#s(literal 1/2 binary64)
(neg.f64 (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) (*.f64 (PI.f64) #s(literal 1/4 binary64))) (/.f64 (log.f64 (*.f64 f (*.f64 (PI.f64) #s(literal 1/2 binary64)))) (*.f64 (PI.f64) #s(literal 1/4 binary64)))))
(-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) (*.f64 (PI.f64) #s(literal 1/4 binary64))) (/.f64 (log.f64 (*.f64 f (*.f64 (PI.f64) #s(literal 1/2 binary64)))) (*.f64 (PI.f64) #s(literal 1/4 binary64))))
(/.f64 (log.f64 #s(literal 2 binary64)) (*.f64 (PI.f64) #s(literal 1/4 binary64)))
(log.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
(*.f64 (PI.f64) #s(literal 1/4 binary64))
(PI.f64)
#s(literal 1/4 binary64)
(/.f64 (log.f64 (*.f64 f (*.f64 (PI.f64) #s(literal 1/2 binary64)))) (*.f64 (PI.f64) #s(literal 1/4 binary64)))
(log.f64 (*.f64 f (*.f64 (PI.f64) #s(literal 1/2 binary64))))
(*.f64 f (*.f64 (PI.f64) #s(literal 1/2 binary64)))
f
(*.f64 (PI.f64) #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
Outputs
(/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (/.f64 #s(literal 1 binary64) (log.f64 (tanh.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f))))))
(/.f64 (log.f64 (tanh.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f)))) (*.f64 (PI.f64) #s(literal 1/4 binary64)))
(/.f64 #s(literal 4 binary64) (PI.f64))
#s(literal 4 binary64)
(PI.f64)
(/.f64 #s(literal 1 binary64) (log.f64 (tanh.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f)))))
#s(literal 1 binary64)
(log.f64 (tanh.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f))))
(tanh.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f)))
(*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f))
#s(literal 1/4 binary64)
(*.f64 (PI.f64) f)
f
(/.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 #s(literal 1/4 binary64) (*.f64 (PI.f64) f))) (*.f64 (PI.f64) #s(literal 1/4 binary64)))
(log.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64))))
(log.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f)))
(*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))
(*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f))
f
(*.f64 #s(literal 1/4 binary64) (PI.f64))
(*.f64 (PI.f64) #s(literal 1/4 binary64))
#s(literal 1/4 binary64)
(PI.f64)
(*.f64 (PI.f64) #s(literal 1/4 binary64))
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 #s(literal 0 binary64) (/.f64 #s(literal 4 binary64) (PI.f64))) f))))
(/.f64 (log.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f))) (*.f64 (PI.f64) #s(literal 1/4 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 #s(literal 0 binary64) (/.f64 #s(literal 4 binary64) (PI.f64))) f)))
(/.f64 (log.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f))) (*.f64 (PI.f64) #s(literal -1/4 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (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 #s(literal 0 binary64) (/.f64 #s(literal 4 binary64) (PI.f64))) f))
(neg.f64 (log.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f))))
(/.f64 (+.f64 #s(literal 0 binary64) (/.f64 #s(literal 4 binary64) (PI.f64))) f)
(/.f64 #s(literal 4 binary64) (*.f64 (PI.f64) f))
(+.f64 #s(literal 0 binary64) (/.f64 #s(literal 4 binary64) (PI.f64)))
(/.f64 #s(literal 4 binary64) (PI.f64))
#s(literal 0 binary64)
(/.f64 #s(literal 4 binary64) (PI.f64))
f
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) (*.f64 f #s(literal 1/2 binary64))))))))
(/.f64 (log.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f))) (*.f64 (PI.f64) #s(literal 1/4 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) (*.f64 f #s(literal 1/2 binary64)))))))
(/.f64 (log.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f))) (*.f64 (PI.f64) #s(literal -1/4 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (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 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) (*.f64 f #s(literal 1/2 binary64))))))
(neg.f64 (log.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f))))
(/.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) (*.f64 f #s(literal 1/2 binary64)))))
(/.f64 #s(literal 4 binary64) (*.f64 (PI.f64) f))
#s(literal 2 binary64)
(*.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) (*.f64 f #s(literal 1/2 binary64))))
(*.f64 (*.f64 (PI.f64) f) #s(literal 1/2 binary64))
(sqrt.f64 (PI.f64))
(*.f64 (sqrt.f64 (PI.f64)) (*.f64 f #s(literal 1/2 binary64)))
(*.f64 f (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)))
(*.f64 f #s(literal 1/2 binary64))
f
#s(literal 1/2 binary64)
(neg.f64 (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) (*.f64 (PI.f64) #s(literal 1/4 binary64))) (/.f64 (log.f64 (*.f64 f (*.f64 (PI.f64) #s(literal 1/2 binary64)))) (*.f64 (PI.f64) #s(literal 1/4 binary64)))))
(*.f64 (/.f64 #s(literal -4 binary64) (PI.f64)) (-.f64 (log.f64 #s(literal 2 binary64)) (log.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/2 binary64)))))
(-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) (*.f64 (PI.f64) #s(literal 1/4 binary64))) (/.f64 (log.f64 (*.f64 f (*.f64 (PI.f64) #s(literal 1/2 binary64)))) (*.f64 (PI.f64) #s(literal 1/4 binary64))))
(*.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (-.f64 (log.f64 #s(literal 2 binary64)) (log.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/2 binary64)))))
(/.f64 (log.f64 #s(literal 2 binary64)) (*.f64 (PI.f64) #s(literal 1/4 binary64)))
(/.f64 (*.f64 (log.f64 #s(literal 2 binary64)) #s(literal 4 binary64)) (PI.f64))
(log.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
(*.f64 (PI.f64) #s(literal 1/4 binary64))
(PI.f64)
#s(literal 1/4 binary64)
(/.f64 (log.f64 (*.f64 f (*.f64 (PI.f64) #s(literal 1/2 binary64)))) (*.f64 (PI.f64) #s(literal 1/4 binary64)))
(/.f64 (log.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/2 binary64))) (*.f64 (PI.f64) #s(literal 1/4 binary64)))
(log.f64 (*.f64 f (*.f64 (PI.f64) #s(literal 1/2 binary64))))
(log.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/2 binary64)))
(*.f64 f (*.f64 (PI.f64) #s(literal 1/2 binary64)))
(*.f64 (*.f64 (PI.f64) f) #s(literal 1/2 binary64))
f
(*.f64 (PI.f64) #s(literal 1/2 binary64))
#s(literal 1/2 binary64)

localize214.0ms (1.1%)

Memory
23.6MiB live, 411.6MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
✓accuracy99.6%
(*.f64 f (*.f64 (PI.f64) #s(literal 1/2 binary64)))
✓accuracy99.5%
(/.f64 (log.f64 (*.f64 f (*.f64 (PI.f64) #s(literal 1/2 binary64)))) (*.f64 (PI.f64) #s(literal 1/4 binary64)))
✓accuracy99.5%
(-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) (*.f64 (PI.f64) #s(literal 1/4 binary64))) (/.f64 (log.f64 (*.f64 f (*.f64 (PI.f64) #s(literal 1/2 binary64)))) (*.f64 (PI.f64) #s(literal 1/4 binary64))))
✓accuracy96.2%
(PI.f64)
✓accuracy99.5%
(*.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) (*.f64 f #s(literal 1/2 binary64))))
✓accuracy99.4%
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) (*.f64 f #s(literal 1/2 binary64)))))))
✓accuracy98.5%
(sqrt.f64 (PI.f64))
✓accuracy96.2%
(PI.f64)
✓accuracy100.0%
(log.f64 (/.f64 (+.f64 #s(literal 0 binary64) (/.f64 #s(literal 4 binary64) (PI.f64))) f))
✓accuracy99.4%
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 #s(literal 0 binary64) (/.f64 #s(literal 4 binary64) (PI.f64))) f)))
✓accuracy99.3%
(/.f64 (+.f64 #s(literal 0 binary64) (/.f64 #s(literal 4 binary64) (PI.f64))) f)
✓accuracy96.2%
(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)))
✓accuracy96.2%
(PI.f64)
✓accuracy99.5%
(/.f64 #s(literal 1 binary64) (log.f64 (tanh.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f)))))
✓accuracy99.4%
(/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (/.f64 #s(literal 1 binary64) (log.f64 (tanh.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f))))))
✓accuracy98.9%
(log.f64 (tanh.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f))))
✓accuracy96.2%
(PI.f64)
Samples
83.0ms242×0valid
55.0ms10×5exit
2.0ms1×3valid
2.0ms3×1valid
Compiler

Compiled 317 to 45 computations (85.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 111.0ms
ival-log: 39.0ms (35.1% of total)
ival-div: 28.0ms (25.2% of total)
ival-mult: 19.0ms (17.1% of total)
ival-tanh: 13.0ms (11.7% of total)
ival-neg: 3.0ms (2.7% of total)
adjust: 2.0ms (1.8% of total)
ival-sqrt: 2.0ms (1.8% of total)
ival-pi: 1.0ms (0.9% of total)
ival-sub: 1.0ms (0.9% of total)
ival-add: 1.0ms (0.9% of total)
exact: 1.0ms (0.9% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series115.0ms (0.6%)

Memory
-1.4MiB live, 205.6MiB allocated
Counts
24 → 192
Calls
Call 1
Inputs
#s(alt (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (/.f64 #s(literal 1 binary64) (log.f64 (tanh.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f)))))) (patch (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (/.f64 #s(literal 1 binary64) (log.f64 (tanh.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f)))))) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 4 binary64) (PI.f64)) (patch (/.f64 #s(literal 4 binary64) (PI.f64)) #<representation binary64>) () ())
#s(alt (PI.f64) (patch (PI.f64) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) (log.f64 (tanh.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f))))) (patch (/.f64 #s(literal 1 binary64) (log.f64 (tanh.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f))))) #<representation binary64>) () ())
#s(alt (/.f64 (log.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))) (*.f64 (PI.f64) #s(literal 1/4 binary64))) (patch (/.f64 (log.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))) (*.f64 (PI.f64) #s(literal 1/4 binary64))) #<representation binary64>) () ())
#s(alt (log.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))) (patch (log.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))) #<representation binary64>) () ())
#s(alt (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64))) (patch (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64))) #<representation binary64>) () ())
#s(alt (*.f64 #s(literal 1/4 binary64) (PI.f64)) (patch (*.f64 #s(literal 1/4 binary64) (PI.f64)) #<representation binary64>) () ())
#s(alt (/.f64 (PI.f64) #s(literal 4 binary64)) (patch (/.f64 (PI.f64) #s(literal 4 binary64)) #<representation binary64>) () ())
#s(alt (/.f64 (+.f64 #s(literal 0 binary64) (/.f64 #s(literal 4 binary64) (PI.f64))) f) (patch (/.f64 (+.f64 #s(literal 0 binary64) (/.f64 #s(literal 4 binary64) (PI.f64))) f) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (patch (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) #<representation binary64>) () ())
#s(alt (log.f64 (/.f64 (+.f64 #s(literal 0 binary64) (/.f64 #s(literal 4 binary64) (PI.f64))) f)) (patch (log.f64 (/.f64 (+.f64 #s(literal 0 binary64) (/.f64 #s(literal 4 binary64) (PI.f64))) f)) #<representation binary64>) () ())
#s(alt (*.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) (*.f64 f #s(literal 1/2 binary64)))) (patch (*.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) (*.f64 f #s(literal 1/2 binary64)))) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) (*.f64 f #s(literal 1/2 binary64))))) (patch (/.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) (*.f64 f #s(literal 1/2 binary64))))) #<representation binary64>) () ())
#s(alt (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) (*.f64 (PI.f64) #s(literal 1/4 binary64))) (/.f64 (log.f64 (*.f64 f (*.f64 (PI.f64) #s(literal 1/2 binary64)))) (*.f64 (PI.f64) #s(literal 1/4 binary64)))) (patch (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) (*.f64 (PI.f64) #s(literal 1/4 binary64))) (/.f64 (log.f64 (*.f64 f (*.f64 (PI.f64) #s(literal 1/2 binary64)))) (*.f64 (PI.f64) #s(literal 1/4 binary64)))) #<representation binary64>) () ())
#s(alt (neg.f64 (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) (*.f64 (PI.f64) #s(literal 1/4 binary64))) (/.f64 (log.f64 (*.f64 f (*.f64 (PI.f64) #s(literal 1/2 binary64)))) (*.f64 (PI.f64) #s(literal 1/4 binary64))))) (patch (neg.f64 (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) (*.f64 (PI.f64) #s(literal 1/4 binary64))) (/.f64 (log.f64 (*.f64 f (*.f64 (PI.f64) #s(literal 1/2 binary64)))) (*.f64 (PI.f64) #s(literal 1/4 binary64))))) #<representation binary64>) () ())
#s(alt (/.f64 (log.f64 #s(literal 2 binary64)) (*.f64 (PI.f64) #s(literal 1/4 binary64))) (patch (/.f64 (log.f64 #s(literal 2 binary64)) (*.f64 (PI.f64) #s(literal 1/4 binary64))) #<representation binary64>) () ())
#s(alt (log.f64 #s(literal 2 binary64)) (patch (log.f64 #s(literal 2 binary64)) #<representation binary64>) () ())
#s(alt (log.f64 (tanh.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f)))) (patch (log.f64 (tanh.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f)))) #<representation binary64>) () ())
#s(alt (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 #s(literal 0 binary64) (/.f64 #s(literal 4 binary64) (PI.f64))) f))) (patch (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 #s(literal 0 binary64) (/.f64 #s(literal 4 binary64) (PI.f64))) f))) #<representation binary64>) () ())
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Outputs
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#s(alt (* 4 (/ (+ (log (/ -4 (PI))) (log (/ -1 f))) (PI))) (taylor -inf f) (#s(alt (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) (*.f64 f #s(literal 1/2 binary64))))))) (patch (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) (*.f64 f #s(literal 1/2 binary64))))))) #<representation binary64>) () ())) ())
#s(alt (* 4 (/ (+ (log (/ -4 (PI))) (log (/ -1 f))) (PI))) (taylor -inf f) (#s(alt (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) (*.f64 f #s(literal 1/2 binary64))))))) (patch (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) (*.f64 f #s(literal 1/2 binary64))))))) #<representation binary64>) () ())) ())
#s(alt (* 4 (/ (+ (log (/ -4 (PI))) (log (/ -1 f))) (PI))) (taylor -inf f) (#s(alt (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) (*.f64 f #s(literal 1/2 binary64))))))) (patch (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) (*.f64 f #s(literal 1/2 binary64))))))) #<representation binary64>) () ())) ())
#s(alt (* 4 (/ (+ (log f) (log (* 1/2 (PI)))) (PI))) (taylor 0 f) (#s(alt (/.f64 (log.f64 (*.f64 f (*.f64 (PI.f64) #s(literal 1/2 binary64)))) (*.f64 (PI.f64) #s(literal 1/4 binary64))) (patch (/.f64 (log.f64 (*.f64 f (*.f64 (PI.f64) #s(literal 1/2 binary64)))) (*.f64 (PI.f64) #s(literal 1/4 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 4 (/ (+ (log f) (log (* 1/2 (PI)))) (PI))) (taylor 0 f) (#s(alt (/.f64 (log.f64 (*.f64 f (*.f64 (PI.f64) #s(literal 1/2 binary64)))) (*.f64 (PI.f64) #s(literal 1/4 binary64))) (patch (/.f64 (log.f64 (*.f64 f (*.f64 (PI.f64) #s(literal 1/2 binary64)))) (*.f64 (PI.f64) #s(literal 1/4 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 4 (/ (+ (log f) (log (* 1/2 (PI)))) (PI))) (taylor 0 f) (#s(alt (/.f64 (log.f64 (*.f64 f (*.f64 (PI.f64) #s(literal 1/2 binary64)))) (*.f64 (PI.f64) #s(literal 1/4 binary64))) (patch (/.f64 (log.f64 (*.f64 f (*.f64 (PI.f64) #s(literal 1/2 binary64)))) (*.f64 (PI.f64) #s(literal 1/4 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 4 (/ (+ (log f) (log (* 1/2 (PI)))) (PI))) (taylor 0 f) (#s(alt (/.f64 (log.f64 (*.f64 f (*.f64 (PI.f64) #s(literal 1/2 binary64)))) (*.f64 (PI.f64) #s(literal 1/4 binary64))) (patch (/.f64 (log.f64 (*.f64 f (*.f64 (PI.f64) #s(literal 1/2 binary64)))) (*.f64 (PI.f64) #s(literal 1/4 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 4 (/ (+ (log (* 1/2 (PI))) (* -1 (log (/ 1 f)))) (PI))) (taylor inf f) (#s(alt (/.f64 (log.f64 (*.f64 f (*.f64 (PI.f64) #s(literal 1/2 binary64)))) (*.f64 (PI.f64) #s(literal 1/4 binary64))) (patch (/.f64 (log.f64 (*.f64 f (*.f64 (PI.f64) #s(literal 1/2 binary64)))) (*.f64 (PI.f64) #s(literal 1/4 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 4 (/ (+ (log (* 1/2 (PI))) (* -1 (log (/ 1 f)))) (PI))) (taylor inf f) (#s(alt (/.f64 (log.f64 (*.f64 f (*.f64 (PI.f64) #s(literal 1/2 binary64)))) (*.f64 (PI.f64) #s(literal 1/4 binary64))) (patch (/.f64 (log.f64 (*.f64 f (*.f64 (PI.f64) #s(literal 1/2 binary64)))) (*.f64 (PI.f64) #s(literal 1/4 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 4 (/ (+ (log (* 1/2 (PI))) (* -1 (log (/ 1 f)))) (PI))) (taylor inf f) (#s(alt (/.f64 (log.f64 (*.f64 f (*.f64 (PI.f64) #s(literal 1/2 binary64)))) (*.f64 (PI.f64) #s(literal 1/4 binary64))) (patch (/.f64 (log.f64 (*.f64 f (*.f64 (PI.f64) #s(literal 1/2 binary64)))) (*.f64 (PI.f64) #s(literal 1/4 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 4 (/ (+ (log (* 1/2 (PI))) (* -1 (log (/ 1 f)))) (PI))) (taylor inf f) (#s(alt (/.f64 (log.f64 (*.f64 f (*.f64 (PI.f64) #s(literal 1/2 binary64)))) (*.f64 (PI.f64) #s(literal 1/4 binary64))) (patch (/.f64 (log.f64 (*.f64 f (*.f64 (PI.f64) #s(literal 1/2 binary64)))) (*.f64 (PI.f64) #s(literal 1/4 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 4 (/ (+ (log (* -1/2 (PI))) (* -1 (log (/ -1 f)))) (PI))) (taylor -inf f) (#s(alt (/.f64 (log.f64 (*.f64 f (*.f64 (PI.f64) #s(literal 1/2 binary64)))) (*.f64 (PI.f64) #s(literal 1/4 binary64))) (patch (/.f64 (log.f64 (*.f64 f (*.f64 (PI.f64) #s(literal 1/2 binary64)))) (*.f64 (PI.f64) #s(literal 1/4 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 4 (/ (+ (log (* -1/2 (PI))) (* -1 (log (/ -1 f)))) (PI))) (taylor -inf f) (#s(alt (/.f64 (log.f64 (*.f64 f (*.f64 (PI.f64) #s(literal 1/2 binary64)))) (*.f64 (PI.f64) #s(literal 1/4 binary64))) (patch (/.f64 (log.f64 (*.f64 f (*.f64 (PI.f64) #s(literal 1/2 binary64)))) (*.f64 (PI.f64) #s(literal 1/4 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 4 (/ (+ (log (* -1/2 (PI))) (* -1 (log (/ -1 f)))) (PI))) (taylor -inf f) (#s(alt (/.f64 (log.f64 (*.f64 f (*.f64 (PI.f64) #s(literal 1/2 binary64)))) (*.f64 (PI.f64) #s(literal 1/4 binary64))) (patch (/.f64 (log.f64 (*.f64 f (*.f64 (PI.f64) #s(literal 1/2 binary64)))) (*.f64 (PI.f64) #s(literal 1/4 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 4 (/ (+ (log (* -1/2 (PI))) (* -1 (log (/ -1 f)))) (PI))) (taylor -inf f) (#s(alt (/.f64 (log.f64 (*.f64 f (*.f64 (PI.f64) #s(literal 1/2 binary64)))) (*.f64 (PI.f64) #s(literal 1/4 binary64))) (patch (/.f64 (log.f64 (*.f64 f (*.f64 (PI.f64) #s(literal 1/2 binary64)))) (*.f64 (PI.f64) #s(literal 1/4 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (* f (PI))) (taylor 0 f) (#s(alt (*.f64 f (*.f64 (PI.f64) #s(literal 1/2 binary64))) (patch (*.f64 f (*.f64 (PI.f64) #s(literal 1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (* f (PI))) (taylor 0 f) (#s(alt (*.f64 f (*.f64 (PI.f64) #s(literal 1/2 binary64))) (patch (*.f64 f (*.f64 (PI.f64) #s(literal 1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (* f (PI))) (taylor 0 f) (#s(alt (*.f64 f (*.f64 (PI.f64) #s(literal 1/2 binary64))) (patch (*.f64 f (*.f64 (PI.f64) #s(literal 1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (* f (PI))) (taylor 0 f) (#s(alt (*.f64 f (*.f64 (PI.f64) #s(literal 1/2 binary64))) (patch (*.f64 f (*.f64 (PI.f64) #s(literal 1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (* f (PI))) (taylor inf f) (#s(alt (*.f64 f (*.f64 (PI.f64) #s(literal 1/2 binary64))) (patch (*.f64 f (*.f64 (PI.f64) #s(literal 1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (* f (PI))) (taylor inf f) (#s(alt (*.f64 f (*.f64 (PI.f64) #s(literal 1/2 binary64))) (patch (*.f64 f (*.f64 (PI.f64) #s(literal 1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (* f (PI))) (taylor inf f) (#s(alt (*.f64 f (*.f64 (PI.f64) #s(literal 1/2 binary64))) (patch (*.f64 f (*.f64 (PI.f64) #s(literal 1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (* f (PI))) (taylor inf f) (#s(alt (*.f64 f (*.f64 (PI.f64) #s(literal 1/2 binary64))) (patch (*.f64 f (*.f64 (PI.f64) #s(literal 1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (* f (PI))) (taylor -inf f) (#s(alt (*.f64 f (*.f64 (PI.f64) #s(literal 1/2 binary64))) (patch (*.f64 f (*.f64 (PI.f64) #s(literal 1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (* f (PI))) (taylor -inf f) (#s(alt (*.f64 f (*.f64 (PI.f64) #s(literal 1/2 binary64))) (patch (*.f64 f (*.f64 (PI.f64) #s(literal 1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (* f (PI))) (taylor -inf f) (#s(alt (*.f64 f (*.f64 (PI.f64) #s(literal 1/2 binary64))) (patch (*.f64 f (*.f64 (PI.f64) #s(literal 1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (* f (PI))) (taylor -inf f) (#s(alt (*.f64 f (*.f64 (PI.f64) #s(literal 1/2 binary64))) (patch (*.f64 f (*.f64 (PI.f64) #s(literal 1/2 binary64))) #<representation binary64>) () ())) ())
Calls

48 calls:

TimeVariablePointExpression
30.0ms
f
@0
(- (/ (log 2) (* (PI) 1/4)) (/ (log (* f (* (PI) 1/2))) (* (PI) 1/4)))
25.0ms
f
@-inf
(/ (log (* f (* 1/4 (PI)))) (* (PI) 1/4))
17.0ms
f
@-inf
(- (/ (log 2) (* (PI) 1/4)) (/ (log (* f (* (PI) 1/2))) (* (PI) 1/4)))
17.0ms
f
@0
(/ (log (* f (* 1/4 (PI)))) (* (PI) 1/4))
7.0ms
f
@inf
(- (/ (log 2) (* (PI) 1/4)) (/ (log (* f (* (PI) 1/2))) (* (PI) 1/4)))

rewrite446.0ms (2.4%)

Memory
6.4MiB live, 509.6MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
4 018×lower-/.f32
3 998×lower-/.f64
3 318×lower-fma.f64
3 318×lower-fma.f32
3 292×lower-*.f32
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
041192
075161
1274155
22320155
08528155
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
24 → 1 512
Calls
Call 1
Inputs
(/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (/.f64 #s(literal 1 binary64) (log.f64 (tanh.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f))))))
(/.f64 #s(literal 4 binary64) (PI.f64))
(PI.f64)
(/.f64 #s(literal 1 binary64) (log.f64 (tanh.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) 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 (PI.f64) #s(literal 4 binary64))
(/.f64 (+.f64 #s(literal 0 binary64) (/.f64 #s(literal 4 binary64) (PI.f64))) f)
(/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64)))
(log.f64 (/.f64 (+.f64 #s(literal 0 binary64) (/.f64 #s(literal 4 binary64) (PI.f64))) f))
(*.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) (*.f64 f #s(literal 1/2 binary64))))
(/.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) (*.f64 f #s(literal 1/2 binary64)))))
(-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) (*.f64 (PI.f64) #s(literal 1/4 binary64))) (/.f64 (log.f64 (*.f64 f (*.f64 (PI.f64) #s(literal 1/2 binary64)))) (*.f64 (PI.f64) #s(literal 1/4 binary64))))
(neg.f64 (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) (*.f64 (PI.f64) #s(literal 1/4 binary64))) (/.f64 (log.f64 (*.f64 f (*.f64 (PI.f64) #s(literal 1/2 binary64)))) (*.f64 (PI.f64) #s(literal 1/4 binary64)))))
(/.f64 (log.f64 #s(literal 2 binary64)) (*.f64 (PI.f64) #s(literal 1/4 binary64)))
(log.f64 #s(literal 2 binary64))
(log.f64 (tanh.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f))))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 #s(literal 0 binary64) (/.f64 #s(literal 4 binary64) (PI.f64))) f)))
(sqrt.f64 (PI.f64))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) (*.f64 f #s(literal 1/2 binary64)))))))
(/.f64 (log.f64 (*.f64 f (*.f64 (PI.f64) #s(literal 1/2 binary64)))) (*.f64 (PI.f64) #s(literal 1/4 binary64)))
(*.f64 f (*.f64 (PI.f64) #s(literal 1/2 binary64)))
Outputs
(exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 #s(literal 1 binary64) (log.f64 (tanh.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f))))) (*.f64 (PI.f64) #s(literal 1/4 binary64)))) #s(literal -1 binary64)))
(exp.f64 (-.f64 (neg.f64 (log.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)))) (*.f64 (log.f64 (log.f64 (tanh.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f))))) #s(literal -1 binary64))))
(-.f64 #s(literal 0 binary64) (/.f64 (log.f64 (tanh.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f)))) (*.f64 (PI.f64) #s(literal -1/4 binary64))))
(-.f64 (/.f64 (log.f64 (tanh.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f)))) (*.f64 (PI.f64) #s(literal 1/4 binary64))) (/.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) (log.f64 (tanh.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f)))))))
(-.f64 (/.f64 (/.f64 #s(literal 0 binary64) (/.f64 #s(literal 4 binary64) (PI.f64))) (/.f64 #s(literal 1 binary64) (log.f64 (tanh.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f)))))) (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (/.f64 #s(literal -1 binary64) (log.f64 (tanh.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f)))))))
(-.f64 (/.f64 (log.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f))))) (*.f64 (PI.f64) #s(literal 1/4 binary64))) (/.f64 (log.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f))))) (*.f64 (PI.f64) #s(literal 1/4 binary64))))
(-.f64 (/.f64 (log.f64 (expm1.f64 (*.f64 (PI.f64) (*.f64 f #s(literal 1/2 binary64))))) (*.f64 (PI.f64) #s(literal 1/4 binary64))) (/.f64 (log1p.f64 (exp.f64 (*.f64 (PI.f64) (*.f64 f #s(literal 1/2 binary64))))) (*.f64 (PI.f64) #s(literal 1/4 binary64))))
(-.f64 (/.f64 (log1p.f64 (neg.f64 (exp.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (PI.f64) f))))) (*.f64 (PI.f64) #s(literal 1/4 binary64))) (/.f64 (log1p.f64 (exp.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (PI.f64) f)))) (*.f64 (PI.f64) #s(literal 1/4 binary64))))
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (log.f64 (tanh.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f))))) (/.f64 #s(literal -4 binary64) (PI.f64)))) (/.f64 (/.f64 #s(literal 16 binary64) (*.f64 (PI.f64) (PI.f64))) (*.f64 (/.f64 #s(literal 1 binary64) (log.f64 (tanh.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f))))) (/.f64 #s(literal -4 binary64) (PI.f64)))))
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) (log.f64 (tanh.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f)))))) (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (/.f64 #s(literal -1 binary64) (log.f64 (tanh.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f)))))))
(neg.f64 (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (/.f64 #s(literal -1 binary64) (log.f64 (tanh.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f)))))))
(/.f64 #s(literal 4 binary64) (/.f64 (PI.f64) (log.f64 (tanh.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f))))))
(/.f64 #s(literal 4 binary64) (neg.f64 (*.f64 (neg.f64 (PI.f64)) (/.f64 #s(literal 1 binary64) (log.f64 (tanh.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f))))))))
(/.f64 #s(literal 4 binary64) (neg.f64 (neg.f64 (/.f64 (PI.f64) (log.f64 (tanh.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f))))))))
(/.f64 #s(literal 4 binary64) (neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (log.f64 (tanh.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f))))) (neg.f64 (PI.f64)))))
(/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (/.f64 #s(literal 1 binary64) (log.f64 (tanh.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f))))))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (log.f64 (tanh.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f))))) (*.f64 (PI.f64) #s(literal 1/4 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (PI.f64) (log.f64 (tanh.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f))))) #s(literal 4 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (log.f64 (tanh.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f))))) (*.f64 (PI.f64) #s(literal 1/4 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (neg.f64 (*.f64 (*.f64 (PI.f64) #s(literal -1/4 binary64)) (/.f64 #s(literal 1 binary64) (log.f64 (tanh.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f))))))))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (log.f64 (tanh.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f))))) (*.f64 (PI.f64) #s(literal 1/4 binary64))))))
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(/.f64 (fma.f64 (pow.f64 (/.f64 (log.f64 (*.f64 (PI.f64) (*.f64 f #s(literal 1/2 binary64)))) (PI.f64)) #s(literal 3 binary64)) #s(literal 64 binary64) (pow.f64 (*.f64 #s(literal 0 binary64) (log.f64 (*.f64 (PI.f64) (*.f64 f #s(literal 1/2 binary64))))) #s(literal 3 binary64))) (fma.f64 (pow.f64 (/.f64 (log.f64 (*.f64 (PI.f64) (*.f64 f #s(literal 1/2 binary64)))) (PI.f64)) #s(literal 2 binary64)) #s(literal 16 binary64) (-.f64 (*.f64 (*.f64 #s(literal 0 binary64) (log.f64 (*.f64 (PI.f64) (*.f64 f #s(literal 1/2 binary64))))) (*.f64 #s(literal 0 binary64) (log.f64 (*.f64 (PI.f64) (*.f64 f #s(literal 1/2 binary64)))))) (*.f64 (/.f64 (log.f64 (*.f64 (PI.f64) (*.f64 f #s(literal 1/2 binary64)))) (*.f64 (PI.f64) #s(literal 1/4 binary64))) (*.f64 #s(literal 0 binary64) (log.f64 (*.f64 (PI.f64) (*.f64 f #s(literal 1/2 binary64)))))))))
(/.f64 (+.f64 (pow.f64 (*.f64 (log.f64 (*.f64 (PI.f64) (*.f64 f #s(literal 1/2 binary64)))) #s(literal 0 binary64)) #s(literal 3 binary64)) (pow.f64 (/.f64 (log.f64 (*.f64 (PI.f64) (*.f64 f #s(literal 1/2 binary64)))) (*.f64 (PI.f64) #s(literal 1/4 binary64))) #s(literal 3 binary64))) (fma.f64 (*.f64 (log.f64 (*.f64 (PI.f64) (*.f64 f #s(literal 1/2 binary64)))) #s(literal 0 binary64)) (*.f64 (log.f64 (*.f64 (PI.f64) (*.f64 f #s(literal 1/2 binary64)))) #s(literal 0 binary64)) (-.f64 (pow.f64 (/.f64 (log.f64 (*.f64 (PI.f64) (*.f64 f #s(literal 1/2 binary64)))) (*.f64 (PI.f64) #s(literal 1/4 binary64))) #s(literal 2 binary64)) (*.f64 (*.f64 (log.f64 (*.f64 (PI.f64) (*.f64 f #s(literal 1/2 binary64)))) #s(literal 0 binary64)) (/.f64 (log.f64 (*.f64 (PI.f64) (*.f64 f #s(literal 1/2 binary64)))) (*.f64 (PI.f64) #s(literal 1/4 binary64)))))))
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(pow.f64 (/.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) (log.f64 (*.f64 (PI.f64) (*.f64 f #s(literal 1/2 binary64))))) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) (log.f64 (*.f64 (PI.f64) (*.f64 f #s(literal 1/2 binary64))))) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 #s(literal 1/4 binary64) (/.f64 (log.f64 (*.f64 (PI.f64) (*.f64 f #s(literal 1/2 binary64)))) (PI.f64))) #s(literal -1 binary64))
(*.f64 #s(literal 4 binary64) (/.f64 (log.f64 (*.f64 (PI.f64) (*.f64 f #s(literal 1/2 binary64)))) (PI.f64)))
(*.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (log.f64 (*.f64 (PI.f64) (*.f64 f #s(literal 1/2 binary64)))))
(*.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (pow.f64 (/.f64 #s(literal 1 binary64) (log.f64 (*.f64 (PI.f64) (*.f64 f #s(literal 1/2 binary64))))) #s(literal -1 binary64)))
(*.f64 #s(literal 1 binary64) (/.f64 (log.f64 (*.f64 (PI.f64) (*.f64 f #s(literal 1/2 binary64)))) (*.f64 (PI.f64) #s(literal 1/4 binary64))))
(*.f64 (log.f64 (*.f64 (PI.f64) (*.f64 f #s(literal 1/2 binary64)))) (/.f64 #s(literal 4 binary64) (PI.f64)))
(*.f64 (neg.f64 (log.f64 (*.f64 (PI.f64) (*.f64 f #s(literal 1/2 binary64))))) (/.f64 #s(literal -4 binary64) (PI.f64)))
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(*.f64 (/.f64 (log.f64 (*.f64 (PI.f64) (*.f64 f #s(literal 1/2 binary64)))) (PI.f64)) #s(literal 4 binary64))
(*.f64 (*.f64 (log.f64 (*.f64 (PI.f64) (*.f64 f #s(literal 1/2 binary64)))) #s(literal 1 binary64)) (/.f64 #s(literal 4 binary64) (PI.f64)))
(*.f64 (*.f64 (log.f64 (*.f64 (PI.f64) (*.f64 f #s(literal 1/2 binary64)))) #s(literal 4 binary64)) (/.f64 #s(literal 1 binary64) (PI.f64)))
(*.f64 (/.f64 (log.f64 (*.f64 (PI.f64) (*.f64 f #s(literal 1/2 binary64)))) #s(literal 1 binary64)) (/.f64 #s(literal 4 binary64) (PI.f64)))
(*.f64 (/.f64 (log.f64 (*.f64 (PI.f64) (*.f64 f #s(literal 1/2 binary64)))) (neg.f64 (PI.f64))) #s(literal -4 binary64))
(*.f64 (PI.f64) (*.f64 f #s(literal 1/2 binary64)))
(*.f64 #s(literal 1 binary64) (*.f64 (PI.f64) (*.f64 f #s(literal 1/2 binary64))))
(*.f64 f (*.f64 (PI.f64) #s(literal 1/2 binary64)))
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(*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f)) #s(literal 2 binary64))
(*.f64 (sqrt.f64 (PI.f64)) (*.f64 f (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64)))))
(*.f64 #s(literal 1/2 binary64) (*.f64 (PI.f64) f))
(*.f64 (*.f64 f #s(literal 1/2 binary64)) (PI.f64))
(*.f64 (*.f64 f (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (PI.f64)))
(*.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f)))
(*.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) f)
(*.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (*.f64 (cbrt.f64 (PI.f64)) (*.f64 f #s(literal 1/2 binary64))))
(*.f64 (*.f64 f (sqrt.f64 (PI.f64))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64))))
(*.f64 (*.f64 #s(literal 2 binary64) f) (*.f64 (PI.f64) #s(literal 1/4 binary64)))
(*.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) f)) #s(literal 1/4 binary64))
(*.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) #s(literal 1/4 binary64))) f)
(*.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/4 binary64) f)) (PI.f64))

simplify311.0ms (1.7%)

Memory
-3.8MiB live, 471.0MiB allocated
Algorithm
1×egg-herbie
Rules
6 510×lower-fma.f64
6 510×lower-fma.f32
3 870×lower-+.f64
3 870×lower-+.f32
3 742×lower-*.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02333405
17023022
227352639
087872598
Stop Event
1×iter limit
1×node limit
Counts
192 → 192
Calls
Call 1
Inputs
(* 4 (/ (+ (log f) (log (* 1/4 (PI)))) (PI)))
(+ (* 4 (/ (+ (log f) (log (* 1/4 (PI)))) (PI))) (* 8 (/ (* f (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2)))) (pow (PI) 2))))
(+ (* 4 (/ (+ (log f) (log (* 1/4 (PI)))) (PI))) (* f (+ (* 2 (/ (* f (+ (* -4 (/ (pow (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) 2) (pow (PI) 2))) (* 8 (/ (- (* 1/2 (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (+ (* -1/128 (pow (PI) 3)) (* 1/192 (pow (PI) 3))))) (* 1/128 (pow (PI) 3))) (PI))))) (PI))) (* 8 (/ (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) (pow (PI) 2))))))
(+ (* 4 (/ (+ (log f) (log (* 1/4 (PI)))) (PI))) (* f (+ (* 8 (/ (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) (pow (PI) 2))) (* f (+ (* 2/3 (/ (* f (+ (* -48 (/ (* (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) (- (* 1/2 (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (+ (* -1/128 (pow (PI) 3)) (* 1/192 (pow (PI) 3))))) (* 1/128 (pow (PI) 3)))) (pow (PI) 2))) (+ (* 16 (/ (pow (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) 3) (pow (PI) 3))) (* 24 (/ (- (* 1/2 (+ (* -1/4 (* (PI) (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (+ (* -1/128 (pow (PI) 3)) (* 1/384 (pow (PI) 3)))))) (+ (* -1/32 (* (pow (PI) 2) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (+ (* -1/1536 (pow (PI) 4)) (* 1/3072 (pow (PI) 4)))))) (+ (* -1/8 (* (PI) (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (* -1/128 (pow (PI) 3))))) (* 1/64 (* (pow (PI) 2) (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))))))) (PI)))))) (PI))) (* 2 (/ (+ (* -4 (/ (pow (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) 2) (pow (PI) 2))) (* 8 (/ (- (* 1/2 (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (+ (* -1/128 (pow (PI) 3)) (* 1/192 (pow (PI) 3))))) (* 1/128 (pow (PI) 3))) (PI)))) (PI))))))))
(* 4 (/ (log (/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))) (PI)))
(* 4 (/ (log (/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))) (PI)))
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(+.f64 (log.f64 f) (fma.f64 (fma.f64 f (fma.f64 (/.f64 (*.f64 #s(literal 24 binary64) (fma.f64 (*.f64 (PI.f64) (fma.f64 #s(literal -1/4 binary64) (*.f64 (PI.f64) (*.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)) (*.f64 #s(literal 1/2 binary64) (fma.f64 (*.f64 (PI.f64) (fma.f64 #s(literal -1/4 binary64) (*.f64 (PI.f64) (*.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 (*.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)))))))) (PI.f64)) #s(literal 1/6 binary64) #s(literal 0 binary64)) (/.f64 (*.f64 #s(literal 4 binary64) (fma.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 #s(literal -1/32 binary64) (PI.f64))) #s(literal -1/8 binary64) (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal -7/768 binary64)))) (PI.f64))) (*.f64 f f) (log.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)))))
(log (/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI))))))))
(log.f64 (/.f64 (-.f64 (exp.f64 (*.f64 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)))))))
(log (/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI))))))))
(log.f64 (/.f64 (-.f64 (exp.f64 (*.f64 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)))))))
(log (/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI))))))))
(log.f64 (/.f64 (-.f64 (exp.f64 (*.f64 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)))))))
(log (/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI))))))))
(log.f64 (/.f64 (-.f64 (exp.f64 (*.f64 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)))))))
(log (/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI))))))))
(log.f64 (/.f64 (-.f64 (exp.f64 (*.f64 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)))))))
(log (/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI))))))))
(log.f64 (/.f64 (-.f64 (exp.f64 (*.f64 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)))))))
(log (/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI))))))))
(log.f64 (/.f64 (-.f64 (exp.f64 (*.f64 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)))))))
(log (/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI))))))))
(log.f64 (/.f64 (-.f64 (exp.f64 (*.f64 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)))))))
(* 4 (/ (+ (log (/ 4 (PI))) (* -1 (log f))) (PI)))
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (log.f64 f))) (PI.f64))
(* 4 (/ (+ (log (/ 4 (PI))) (* -1 (log f))) (PI)))
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (log.f64 f))) (PI.f64))
(* 4 (/ (+ (log (/ 4 (PI))) (* -1 (log f))) (PI)))
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (log.f64 f))) (PI.f64))
(* 4 (/ (+ (log (/ 4 (PI))) (* -1 (log f))) (PI)))
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (log.f64 f))) (PI.f64))
(* 4 (/ (+ (log (/ 1 f)) (log (/ 4 (PI)))) (PI)))
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (log.f64 f))) (PI.f64))
(* 4 (/ (+ (log (/ 1 f)) (log (/ 4 (PI)))) (PI)))
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (log.f64 f))) (PI.f64))
(* 4 (/ (+ (log (/ 1 f)) (log (/ 4 (PI)))) (PI)))
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (log.f64 f))) (PI.f64))
(* 4 (/ (+ (log (/ 1 f)) (log (/ 4 (PI)))) (PI)))
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (log.f64 f))) (PI.f64))
(* 4 (/ (+ (log (/ -4 (PI))) (log (/ -1 f))) (PI)))
(/.f64 (*.f64 #s(literal 4 binary64) (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) f)) (log.f64 (/.f64 #s(literal -4 binary64) (PI.f64))))) (PI.f64))
(* 4 (/ (+ (log (/ -4 (PI))) (log (/ -1 f))) (PI)))
(/.f64 (*.f64 #s(literal 4 binary64) (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) f)) (log.f64 (/.f64 #s(literal -4 binary64) (PI.f64))))) (PI.f64))
(* 4 (/ (+ (log (/ -4 (PI))) (log (/ -1 f))) (PI)))
(/.f64 (*.f64 #s(literal 4 binary64) (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) f)) (log.f64 (/.f64 #s(literal -4 binary64) (PI.f64))))) (PI.f64))
(* 4 (/ (+ (log (/ -4 (PI))) (log (/ -1 f))) (PI)))
(/.f64 (*.f64 #s(literal 4 binary64) (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) f)) (log.f64 (/.f64 #s(literal -4 binary64) (PI.f64))))) (PI.f64))
(* 4 (/ (+ (log (/ 4 (PI))) (* -1 (log f))) (PI)))
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (log.f64 f))) (PI.f64))
(* 4 (/ (+ (log (/ 4 (PI))) (* -1 (log f))) (PI)))
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (log.f64 f))) (PI.f64))
(* 4 (/ (+ (log (/ 4 (PI))) (* -1 (log f))) (PI)))
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (log.f64 f))) (PI.f64))
(* 4 (/ (+ (log (/ 4 (PI))) (* -1 (log f))) (PI)))
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (log.f64 f))) (PI.f64))
(* 4 (/ (+ (log (/ 1 f)) (log (/ 4 (PI)))) (PI)))
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (log.f64 f))) (PI.f64))
(* 4 (/ (+ (log (/ 1 f)) (log (/ 4 (PI)))) (PI)))
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (log.f64 f))) (PI.f64))
(* 4 (/ (+ (log (/ 1 f)) (log (/ 4 (PI)))) (PI)))
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (log.f64 f))) (PI.f64))
(* 4 (/ (+ (log (/ 1 f)) (log (/ 4 (PI)))) (PI)))
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (log.f64 f))) (PI.f64))
(* 4 (/ (+ (log (/ -4 (PI))) (log (/ -1 f))) (PI)))
(/.f64 (*.f64 #s(literal 4 binary64) (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) f)) (log.f64 (/.f64 #s(literal -4 binary64) (PI.f64))))) (PI.f64))
(* 4 (/ (+ (log (/ -4 (PI))) (log (/ -1 f))) (PI)))
(/.f64 (*.f64 #s(literal 4 binary64) (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) f)) (log.f64 (/.f64 #s(literal -4 binary64) (PI.f64))))) (PI.f64))
(* 4 (/ (+ (log (/ -4 (PI))) (log (/ -1 f))) (PI)))
(/.f64 (*.f64 #s(literal 4 binary64) (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) f)) (log.f64 (/.f64 #s(literal -4 binary64) (PI.f64))))) (PI.f64))
(* 4 (/ (+ (log (/ -4 (PI))) (log (/ -1 f))) (PI)))
(/.f64 (*.f64 #s(literal 4 binary64) (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) f)) (log.f64 (/.f64 #s(literal -4 binary64) (PI.f64))))) (PI.f64))
(* 4 (/ (+ (log f) (log (* 1/2 (PI)))) (PI)))
(/.f64 (*.f64 #s(literal 4 binary64) (+.f64 (log.f64 f) (log.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))))) (PI.f64))
(* 4 (/ (+ (log f) (log (* 1/2 (PI)))) (PI)))
(/.f64 (*.f64 #s(literal 4 binary64) (+.f64 (log.f64 f) (log.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))))) (PI.f64))
(* 4 (/ (+ (log f) (log (* 1/2 (PI)))) (PI)))
(/.f64 (*.f64 #s(literal 4 binary64) (+.f64 (log.f64 f) (log.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))))) (PI.f64))
(* 4 (/ (+ (log f) (log (* 1/2 (PI)))) (PI)))
(/.f64 (*.f64 #s(literal 4 binary64) (+.f64 (log.f64 f) (log.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))))) (PI.f64))
(* 4 (/ (+ (log (* 1/2 (PI))) (* -1 (log (/ 1 f)))) (PI)))
(/.f64 (*.f64 #s(literal 4 binary64) (+.f64 (log.f64 f) (log.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))))) (PI.f64))
(* 4 (/ (+ (log (* 1/2 (PI))) (* -1 (log (/ 1 f)))) (PI)))
(/.f64 (*.f64 #s(literal 4 binary64) (+.f64 (log.f64 f) (log.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))))) (PI.f64))
(* 4 (/ (+ (log (* 1/2 (PI))) (* -1 (log (/ 1 f)))) (PI)))
(/.f64 (*.f64 #s(literal 4 binary64) (+.f64 (log.f64 f) (log.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))))) (PI.f64))
(* 4 (/ (+ (log (* 1/2 (PI))) (* -1 (log (/ 1 f)))) (PI)))
(/.f64 (*.f64 #s(literal 4 binary64) (+.f64 (log.f64 f) (log.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))))) (PI.f64))
(* 4 (/ (+ (log (* -1/2 (PI))) (* -1 (log (/ -1 f)))) (PI)))
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (log.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64))) (log.f64 (/.f64 #s(literal -1 binary64) f)))) (PI.f64))
(* 4 (/ (+ (log (* -1/2 (PI))) (* -1 (log (/ -1 f)))) (PI)))
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (log.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64))) (log.f64 (/.f64 #s(literal -1 binary64) f)))) (PI.f64))
(* 4 (/ (+ (log (* -1/2 (PI))) (* -1 (log (/ -1 f)))) (PI)))
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (log.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64))) (log.f64 (/.f64 #s(literal -1 binary64) f)))) (PI.f64))
(* 4 (/ (+ (log (* -1/2 (PI))) (* -1 (log (/ -1 f)))) (PI)))
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (log.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64))) (log.f64 (/.f64 #s(literal -1 binary64) f)))) (PI.f64))
(* 1/2 (* f (PI)))
(*.f64 f (*.f64 (PI.f64) #s(literal 1/2 binary64)))
(* 1/2 (* f (PI)))
(*.f64 f (*.f64 (PI.f64) #s(literal 1/2 binary64)))
(* 1/2 (* f (PI)))
(*.f64 f (*.f64 (PI.f64) #s(literal 1/2 binary64)))
(* 1/2 (* f (PI)))
(*.f64 f (*.f64 (PI.f64) #s(literal 1/2 binary64)))
(* 1/2 (* f (PI)))
(*.f64 f (*.f64 (PI.f64) #s(literal 1/2 binary64)))
(* 1/2 (* f (PI)))
(*.f64 f (*.f64 (PI.f64) #s(literal 1/2 binary64)))
(* 1/2 (* f (PI)))
(*.f64 f (*.f64 (PI.f64) #s(literal 1/2 binary64)))
(* 1/2 (* f (PI)))
(*.f64 f (*.f64 (PI.f64) #s(literal 1/2 binary64)))
(* 1/2 (* f (PI)))
(*.f64 f (*.f64 (PI.f64) #s(literal 1/2 binary64)))
(* 1/2 (* f (PI)))
(*.f64 f (*.f64 (PI.f64) #s(literal 1/2 binary64)))
(* 1/2 (* f (PI)))
(*.f64 f (*.f64 (PI.f64) #s(literal 1/2 binary64)))
(* 1/2 (* f (PI)))
(*.f64 f (*.f64 (PI.f64) #s(literal 1/2 binary64)))

eval416.0ms (2.2%)

Memory
31.1MiB live, 699.0MiB allocated
Compiler

Compiled 56 202 to 7 544 computations (86.6% saved)

prune389.0ms (2.1%)

Memory
5.6MiB live, 685.4MiB allocated
Pruning

20 alts after pruning (18 fresh and 2 done)

PrunedKeptTotal
New2 463112 474
Fresh8715
Picked415
Done112
Total2 476202 496
Accuracy
99.9%
Counts
2 496 → 20
Alt Table
Click to see full alt table
StatusAccuracyProgram
11.9%
(/.f64 (-.f64 (log1p.f64 (neg.f64 (exp.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f)) #s(literal -2 binary64))))) (log1p.f64 (exp.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f)) #s(literal -2 binary64))))) (*.f64 (PI.f64) #s(literal 1/4 binary64)))
94.0%
(/.f64 (+.f64 (neg.f64 (log.f64 (cosh.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f))))) (log.f64 (sinh.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f))))) (*.f64 (PI.f64) #s(literal 1/4 binary64)))
98.2%
(/.f64 (*.f64 (neg.f64 (/.f64 #s(literal 16 binary64) (*.f64 (PI.f64) (PI.f64)))) (log.f64 (tanh.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f))))) (/.f64 #s(literal -4 binary64) (PI.f64)))
92.6%
(/.f64 (*.f64 (log.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f))) (neg.f64 (/.f64 #s(literal 16 binary64) (*.f64 (PI.f64) (PI.f64))))) (/.f64 #s(literal -4 binary64) (PI.f64)))
92.7%
(/.f64 (log.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) f) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)))) (*.f64 (PI.f64) #s(literal 1/4 binary64)))
92.3%
(/.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)))
▶91.7%
(/.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)))
✓92.7%
(/.f64 (log.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))) (*.f64 (PI.f64) #s(literal 1/4 binary64)))
✓98.3%
(/.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (*.f64 (PI.f64) #s(literal 1/4 binary64)))
▶98.3%
(/.f64 #s(literal 4 binary64) (/.f64 (PI.f64) (log.f64 (tanh.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f))))))
92.7%
(/.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))))))
92.7%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/4 binary64) (/.f64 (log.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f))) (PI.f64))))
92.6%
(-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) (*.f64 (PI.f64) #s(literal -1/4 binary64))) (/.f64 (log.f64 (*.f64 (PI.f64) (*.f64 f #s(literal 1/2 binary64)))) (*.f64 (PI.f64) #s(literal -1/4 binary64))))
▶92.7%
(*.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (log.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f))))
92.5%
(neg.f64 (*.f64 (/.f64 (neg.f64 (log.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f)))) (sqrt.f64 (PI.f64))) (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64)))))
92.7%
(neg.f64 (*.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (log.f64 (/.f64 (+.f64 #s(literal 0 binary64) (/.f64 #s(literal 4 binary64) (PI.f64))) f))))
93.4%
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (fma.f64 (fma.f64 (PI.f64) #s(literal 1/16 binary64) (fma.f64 (PI.f64) #s(literal -1/48 binary64) (*.f64 (PI.f64) #s(literal -1/48 binary64)))) (*.f64 #s(literal 4 binary64) (*.f64 f f)) (/.f64 #s(literal 4 binary64) (PI.f64))) f))))
▶93.4%
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (fma.f64 (*.f64 f f) (fma.f64 #s(literal 4 binary64) (fma.f64 (PI.f64) #s(literal 1/16 binary64) (fma.f64 (PI.f64) #s(literal -1/48 binary64) (*.f64 (PI.f64) #s(literal -1/48 binary64)))) (/.f64 (*.f64 (*.f64 f #s(literal -4 binary64)) (fma.f64 (PI.f64) (*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal -1/32 binary64)) #s(literal -1/4 binary64)) (*.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal -1/128 binary64))))) (PI.f64))) (/.f64 #s(literal 4 binary64) (PI.f64))) f))))
▶91.4%
(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 (+.f64 #s(literal 0 binary64) (/.f64 #s(literal 4 binary64) (PI.f64))) f))))
92.2%
(neg.f64 (*.f64 (*.f64 (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64)))) (log.f64 (/.f64 #s(literal 2 binary64) (*.f64 f (*.f64 (PI.f64) #s(literal 1/2 binary64)))))))
Compiler

Compiled 723 to 510 computations (29.5% saved)

simplify229.0ms (1.2%)

Memory
-21.8MiB live, 404.2MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
✓cost-diff640
(*.f64 (*.f64 f #s(literal -4 binary64)) (fma.f64 (PI.f64) (*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal -1/32 binary64)) #s(literal -1/4 binary64)) (*.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal -1/128 binary64)))))
✓cost-diff704
(/.f64 (*.f64 (*.f64 f #s(literal -4 binary64)) (fma.f64 (PI.f64) (*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal -1/32 binary64)) #s(literal -1/4 binary64)) (*.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal -1/128 binary64))))) (PI.f64))
✓cost-diff704
(/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64)))
✓cost-diff1984
(fma.f64 (PI.f64) (*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal -1/32 binary64)) #s(literal -1/4 binary64)) (*.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal -1/128 binary64))))
✓cost-diff256
(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 (+.f64 #s(literal 0 binary64) (/.f64 #s(literal 4 binary64) (PI.f64))) f))))
✓cost-diff320
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 1/4 binary64) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64))))
✓cost-diff384
(/.f64 (+.f64 #s(literal 0 binary64) (/.f64 #s(literal 4 binary64) (PI.f64))) f)
✓cost-diff1600
(*.f64 (*.f64 #s(literal 1/4 binary64) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)))
✓cost-diff0
(*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))
✓cost-diff0
(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 #s(literal 1/4 binary64) (*.f64 (PI.f64) 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 #s(literal 1/4 binary64) (*.f64 (PI.f64) f))))
✓cost-diff0
(log.f64 (tanh.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f))))
✓cost-diff0
(PI.f64)
✓cost-diff0
(/.f64 (PI.f64) (log.f64 (tanh.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f)))))
✓cost-diff384
(/.f64 #s(literal 4 binary64) (/.f64 (PI.f64) (log.f64 (tanh.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f))))))
Rules
5 366×lower-*.f32
5 328×lower-*.f64
2 974×lower-fma.f32
2 966×lower-fma.f64
1 370×lower-neg.f32
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
057596
0107452
1238387
2749344
33059296
46671296
08597296
Stop Event
1×iter limit
1×node limit
1×iter limit
Calls
Call 1
Inputs
(/.f64 #s(literal 4 binary64) (/.f64 (PI.f64) (log.f64 (tanh.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f))))))
#s(literal 4 binary64)
(/.f64 (PI.f64) (log.f64 (tanh.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f)))))
(PI.f64)
(log.f64 (tanh.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f))))
(tanh.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f)))
(*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f))
#s(literal 1/4 binary64)
(*.f64 (PI.f64) f)
f
(*.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (log.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f))))
(/.f64 #s(literal 4 binary64) (PI.f64))
#s(literal 4 binary64)
(PI.f64)
(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)
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))
(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 (+.f64 #s(literal 0 binary64) (/.f64 #s(literal 4 binary64) (PI.f64))) f))))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 1/4 binary64) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)))) (log.f64 (/.f64 (+.f64 #s(literal 0 binary64) (/.f64 #s(literal 4 binary64) (PI.f64))) f)))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 1/4 binary64) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64))))
#s(literal 1 binary64)
(*.f64 (*.f64 #s(literal 1/4 binary64) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)))
(*.f64 #s(literal 1/4 binary64) (sqrt.f64 (PI.f64)))
#s(literal 1/4 binary64)
(sqrt.f64 (PI.f64))
(PI.f64)
(log.f64 (/.f64 (+.f64 #s(literal 0 binary64) (/.f64 #s(literal 4 binary64) (PI.f64))) f))
(/.f64 (+.f64 #s(literal 0 binary64) (/.f64 #s(literal 4 binary64) (PI.f64))) f)
(+.f64 #s(literal 0 binary64) (/.f64 #s(literal 4 binary64) (PI.f64)))
#s(literal 0 binary64)
(/.f64 #s(literal 4 binary64) (PI.f64))
#s(literal 4 binary64)
f
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (fma.f64 (*.f64 f f) (fma.f64 #s(literal 4 binary64) (fma.f64 (PI.f64) #s(literal 1/16 binary64) (fma.f64 (PI.f64) #s(literal -1/48 binary64) (*.f64 (PI.f64) #s(literal -1/48 binary64)))) (/.f64 (*.f64 (*.f64 f #s(literal -4 binary64)) (fma.f64 (PI.f64) (*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal -1/32 binary64)) #s(literal -1/4 binary64)) (*.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal -1/128 binary64))))) (PI.f64))) (/.f64 #s(literal 4 binary64) (PI.f64))) f))))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (fma.f64 (*.f64 f f) (fma.f64 #s(literal 4 binary64) (fma.f64 (PI.f64) #s(literal 1/16 binary64) (fma.f64 (PI.f64) #s(literal -1/48 binary64) (*.f64 (PI.f64) #s(literal -1/48 binary64)))) (/.f64 (*.f64 (*.f64 f #s(literal -4 binary64)) (fma.f64 (PI.f64) (*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal -1/32 binary64)) #s(literal -1/4 binary64)) (*.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal -1/128 binary64))))) (PI.f64))) (/.f64 #s(literal 4 binary64) (PI.f64))) f)))
(/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64)))
#s(literal 1 binary64)
(/.f64 (PI.f64) #s(literal 4 binary64))
(PI.f64)
#s(literal 4 binary64)
(log.f64 (/.f64 (fma.f64 (*.f64 f f) (fma.f64 #s(literal 4 binary64) (fma.f64 (PI.f64) #s(literal 1/16 binary64) (fma.f64 (PI.f64) #s(literal -1/48 binary64) (*.f64 (PI.f64) #s(literal -1/48 binary64)))) (/.f64 (*.f64 (*.f64 f #s(literal -4 binary64)) (fma.f64 (PI.f64) (*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal -1/32 binary64)) #s(literal -1/4 binary64)) (*.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal -1/128 binary64))))) (PI.f64))) (/.f64 #s(literal 4 binary64) (PI.f64))) f))
(/.f64 (fma.f64 (*.f64 f f) (fma.f64 #s(literal 4 binary64) (fma.f64 (PI.f64) #s(literal 1/16 binary64) (fma.f64 (PI.f64) #s(literal -1/48 binary64) (*.f64 (PI.f64) #s(literal -1/48 binary64)))) (/.f64 (*.f64 (*.f64 f #s(literal -4 binary64)) (fma.f64 (PI.f64) (*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal -1/32 binary64)) #s(literal -1/4 binary64)) (*.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal -1/128 binary64))))) (PI.f64))) (/.f64 #s(literal 4 binary64) (PI.f64))) f)
(fma.f64 (*.f64 f f) (fma.f64 #s(literal 4 binary64) (fma.f64 (PI.f64) #s(literal 1/16 binary64) (fma.f64 (PI.f64) #s(literal -1/48 binary64) (*.f64 (PI.f64) #s(literal -1/48 binary64)))) (/.f64 (*.f64 (*.f64 f #s(literal -4 binary64)) (fma.f64 (PI.f64) (*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal -1/32 binary64)) #s(literal -1/4 binary64)) (*.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal -1/128 binary64))))) (PI.f64))) (/.f64 #s(literal 4 binary64) (PI.f64)))
(*.f64 f f)
f
(fma.f64 #s(literal 4 binary64) (fma.f64 (PI.f64) #s(literal 1/16 binary64) (fma.f64 (PI.f64) #s(literal -1/48 binary64) (*.f64 (PI.f64) #s(literal -1/48 binary64)))) (/.f64 (*.f64 (*.f64 f #s(literal -4 binary64)) (fma.f64 (PI.f64) (*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal -1/32 binary64)) #s(literal -1/4 binary64)) (*.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal -1/128 binary64))))) (PI.f64)))
(fma.f64 (PI.f64) #s(literal 1/16 binary64) (fma.f64 (PI.f64) #s(literal -1/48 binary64) (*.f64 (PI.f64) #s(literal -1/48 binary64))))
#s(literal 1/16 binary64)
(fma.f64 (PI.f64) #s(literal -1/48 binary64) (*.f64 (PI.f64) #s(literal -1/48 binary64)))
#s(literal -1/48 binary64)
(*.f64 (PI.f64) #s(literal -1/48 binary64))
(/.f64 (*.f64 (*.f64 f #s(literal -4 binary64)) (fma.f64 (PI.f64) (*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal -1/32 binary64)) #s(literal -1/4 binary64)) (*.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal -1/128 binary64))))) (PI.f64))
(*.f64 (*.f64 f #s(literal -4 binary64)) (fma.f64 (PI.f64) (*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal -1/32 binary64)) #s(literal -1/4 binary64)) (*.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal -1/128 binary64)))))
(*.f64 f #s(literal -4 binary64))
#s(literal -4 binary64)
(fma.f64 (PI.f64) (*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal -1/32 binary64)) #s(literal -1/4 binary64)) (*.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal -1/128 binary64))))
(*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal -1/32 binary64)) #s(literal -1/4 binary64))
(*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal -1/32 binary64))
(*.f64 (PI.f64) (PI.f64))
#s(literal -1/32 binary64)
#s(literal -1/4 binary64)
(*.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal -1/128 binary64)))
(*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal -1/128 binary64))
#s(literal -1/128 binary64)
(/.f64 #s(literal 4 binary64) (PI.f64))
Outputs
(/.f64 #s(literal 4 binary64) (/.f64 (PI.f64) (log.f64 (tanh.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f))))))
(/.f64 (log.f64 (tanh.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f)))) (*.f64 (PI.f64) #s(literal 1/4 binary64)))
#s(literal 4 binary64)
(/.f64 (PI.f64) (log.f64 (tanh.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f)))))
(PI.f64)
(log.f64 (tanh.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f))))
(tanh.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f)))
(*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f))
#s(literal 1/4 binary64)
(*.f64 (PI.f64) f)
f
(*.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (log.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f))))
(/.f64 (log.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f))) (*.f64 (PI.f64) #s(literal 1/4 binary64)))
(/.f64 #s(literal 4 binary64) (PI.f64))
#s(literal 4 binary64)
(PI.f64)
(log.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f)))
(*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f))
#s(literal 1/4 binary64)
(*.f64 (PI.f64) f)
f
(/.f64 (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 #s(literal 1/4 binary64) (*.f64 (PI.f64) f))) (*.f64 (PI.f64) #s(literal 1/4 binary64)))
(log.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64))))
(log.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f)))
(*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))
(*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f))
f
(*.f64 #s(literal 1/4 binary64) (PI.f64))
(*.f64 (PI.f64) #s(literal 1/4 binary64))
#s(literal 1/4 binary64)
(PI.f64)
(*.f64 (*.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))
(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 (+.f64 #s(literal 0 binary64) (/.f64 #s(literal 4 binary64) (PI.f64))) f))))
(/.f64 (log.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f))) (*.f64 (PI.f64) #s(literal 1/4 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 1/4 binary64) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)))) (log.f64 (/.f64 (+.f64 #s(literal 0 binary64) (/.f64 #s(literal 4 binary64) (PI.f64))) f)))
(neg.f64 (/.f64 (log.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f))) (*.f64 (PI.f64) #s(literal 1/4 binary64))))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 1/4 binary64) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64))))
(/.f64 #s(literal 4 binary64) (PI.f64))
#s(literal 1 binary64)
(*.f64 (*.f64 #s(literal 1/4 binary64) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)))
(*.f64 (PI.f64) #s(literal 1/4 binary64))
(*.f64 #s(literal 1/4 binary64) (sqrt.f64 (PI.f64)))
#s(literal 1/4 binary64)
(sqrt.f64 (PI.f64))
(PI.f64)
(log.f64 (/.f64 (+.f64 #s(literal 0 binary64) (/.f64 #s(literal 4 binary64) (PI.f64))) f))
(neg.f64 (log.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f))))
(/.f64 (+.f64 #s(literal 0 binary64) (/.f64 #s(literal 4 binary64) (PI.f64))) f)
(/.f64 #s(literal 4 binary64) (*.f64 (PI.f64) f))
(+.f64 #s(literal 0 binary64) (/.f64 #s(literal 4 binary64) (PI.f64)))
(/.f64 #s(literal 4 binary64) (PI.f64))
#s(literal 0 binary64)
(/.f64 #s(literal 4 binary64) (PI.f64))
#s(literal 4 binary64)
f
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (fma.f64 (*.f64 f f) (fma.f64 #s(literal 4 binary64) (fma.f64 (PI.f64) #s(literal 1/16 binary64) (fma.f64 (PI.f64) #s(literal -1/48 binary64) (*.f64 (PI.f64) #s(literal -1/48 binary64)))) (/.f64 (*.f64 (*.f64 f #s(literal -4 binary64)) (fma.f64 (PI.f64) (*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal -1/32 binary64)) #s(literal -1/4 binary64)) (*.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal -1/128 binary64))))) (PI.f64))) (/.f64 #s(literal 4 binary64) (PI.f64))) f))))
(/.f64 (log.f64 (/.f64 (fma.f64 (*.f64 (PI.f64) (*.f64 f f)) #s(literal 1/12 binary64) (/.f64 #s(literal 4 binary64) (PI.f64))) f)) (*.f64 (PI.f64) #s(literal -1/4 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (fma.f64 (*.f64 f f) (fma.f64 #s(literal 4 binary64) (fma.f64 (PI.f64) #s(literal 1/16 binary64) (fma.f64 (PI.f64) #s(literal -1/48 binary64) (*.f64 (PI.f64) #s(literal -1/48 binary64)))) (/.f64 (*.f64 (*.f64 f #s(literal -4 binary64)) (fma.f64 (PI.f64) (*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal -1/32 binary64)) #s(literal -1/4 binary64)) (*.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal -1/128 binary64))))) (PI.f64))) (/.f64 #s(literal 4 binary64) (PI.f64))) f)))
(/.f64 (log.f64 (/.f64 (fma.f64 (*.f64 (PI.f64) (*.f64 f f)) #s(literal 1/12 binary64) (/.f64 #s(literal 4 binary64) (PI.f64))) f)) (*.f64 (PI.f64) #s(literal 1/4 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64)))
(/.f64 #s(literal 4 binary64) (PI.f64))
#s(literal 1 binary64)
(/.f64 (PI.f64) #s(literal 4 binary64))
(PI.f64)
#s(literal 4 binary64)
(log.f64 (/.f64 (fma.f64 (*.f64 f f) (fma.f64 #s(literal 4 binary64) (fma.f64 (PI.f64) #s(literal 1/16 binary64) (fma.f64 (PI.f64) #s(literal -1/48 binary64) (*.f64 (PI.f64) #s(literal -1/48 binary64)))) (/.f64 (*.f64 (*.f64 f #s(literal -4 binary64)) (fma.f64 (PI.f64) (*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal -1/32 binary64)) #s(literal -1/4 binary64)) (*.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal -1/128 binary64))))) (PI.f64))) (/.f64 #s(literal 4 binary64) (PI.f64))) f))
(log.f64 (/.f64 (fma.f64 (*.f64 (PI.f64) (*.f64 f f)) #s(literal 1/12 binary64) (/.f64 #s(literal 4 binary64) (PI.f64))) f))
(/.f64 (fma.f64 (*.f64 f f) (fma.f64 #s(literal 4 binary64) (fma.f64 (PI.f64) #s(literal 1/16 binary64) (fma.f64 (PI.f64) #s(literal -1/48 binary64) (*.f64 (PI.f64) #s(literal -1/48 binary64)))) (/.f64 (*.f64 (*.f64 f #s(literal -4 binary64)) (fma.f64 (PI.f64) (*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal -1/32 binary64)) #s(literal -1/4 binary64)) (*.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal -1/128 binary64))))) (PI.f64))) (/.f64 #s(literal 4 binary64) (PI.f64))) f)
(/.f64 (fma.f64 (*.f64 (PI.f64) (*.f64 f f)) #s(literal 1/12 binary64) (/.f64 #s(literal 4 binary64) (PI.f64))) f)
(fma.f64 (*.f64 f f) (fma.f64 #s(literal 4 binary64) (fma.f64 (PI.f64) #s(literal 1/16 binary64) (fma.f64 (PI.f64) #s(literal -1/48 binary64) (*.f64 (PI.f64) #s(literal -1/48 binary64)))) (/.f64 (*.f64 (*.f64 f #s(literal -4 binary64)) (fma.f64 (PI.f64) (*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal -1/32 binary64)) #s(literal -1/4 binary64)) (*.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal -1/128 binary64))))) (PI.f64))) (/.f64 #s(literal 4 binary64) (PI.f64)))
(fma.f64 (*.f64 (PI.f64) (*.f64 f f)) #s(literal 1/12 binary64) (/.f64 #s(literal 4 binary64) (PI.f64)))
(*.f64 f f)
f
(fma.f64 #s(literal 4 binary64) (fma.f64 (PI.f64) #s(literal 1/16 binary64) (fma.f64 (PI.f64) #s(literal -1/48 binary64) (*.f64 (PI.f64) #s(literal -1/48 binary64)))) (/.f64 (*.f64 (*.f64 f #s(literal -4 binary64)) (fma.f64 (PI.f64) (*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal -1/32 binary64)) #s(literal -1/4 binary64)) (*.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal -1/128 binary64))))) (PI.f64)))
(*.f64 (PI.f64) #s(literal 1/12 binary64))
(fma.f64 (PI.f64) #s(literal 1/16 binary64) (fma.f64 (PI.f64) #s(literal -1/48 binary64) (*.f64 (PI.f64) #s(literal -1/48 binary64))))
(*.f64 (PI.f64) #s(literal 1/48 binary64))
#s(literal 1/16 binary64)
(fma.f64 (PI.f64) #s(literal -1/48 binary64) (*.f64 (PI.f64) #s(literal -1/48 binary64)))
(*.f64 (PI.f64) #s(literal -1/24 binary64))
#s(literal -1/48 binary64)
(*.f64 (PI.f64) #s(literal -1/48 binary64))
(/.f64 (*.f64 (*.f64 f #s(literal -4 binary64)) (fma.f64 (PI.f64) (*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal -1/32 binary64)) #s(literal -1/4 binary64)) (*.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal -1/128 binary64))))) (PI.f64))
#s(literal 0 binary64)
(*.f64 (*.f64 f #s(literal -4 binary64)) (fma.f64 (PI.f64) (*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal -1/32 binary64)) #s(literal -1/4 binary64)) (*.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal -1/128 binary64)))))
#s(literal 0 binary64)
(*.f64 f #s(literal -4 binary64))
#s(literal -4 binary64)
(fma.f64 (PI.f64) (*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal -1/32 binary64)) #s(literal -1/4 binary64)) (*.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal -1/128 binary64))))
#s(literal 0 binary64)
(*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal -1/32 binary64)) #s(literal -1/4 binary64))
(*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/128 binary64)))
(*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal -1/32 binary64))
(*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal -1/32 binary64)))
(*.f64 (PI.f64) (PI.f64))
#s(literal -1/32 binary64)
#s(literal -1/4 binary64)
(*.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal -1/128 binary64)))
(*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal -1/128 binary64))
#s(literal -1/128 binary64)
(/.f64 #s(literal 4 binary64) (PI.f64))

localize822.0ms (4.4%)

Memory
17.8MiB live, 859.6MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
✓accuracy98.5%
(*.f64 (PI.f64) #s(literal -1/48 binary64))
✓accuracy97.6%
(fma.f64 (PI.f64) #s(literal 1/16 binary64) (fma.f64 (PI.f64) #s(literal -1/48 binary64) (*.f64 (PI.f64) #s(literal -1/48 binary64))))
✓accuracy96.2%
(PI.f64)
✓accuracy7.0%
(fma.f64 (PI.f64) (*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal -1/32 binary64)) #s(literal -1/4 binary64)) (*.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal -1/128 binary64))))
✓accuracy99.3%
(/.f64 (+.f64 #s(literal 0 binary64) (/.f64 #s(literal 4 binary64) (PI.f64))) f)
✓accuracy98.5%
(*.f64 (*.f64 #s(literal 1/4 binary64) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)))
✓accuracy98.5%
(sqrt.f64 (PI.f64))
✓accuracy96.2%
(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)))
✓accuracy98.5%
(*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)))
✓accuracy98.5%
(sqrt.f64 (PI.f64))
✓accuracy96.2%
(PI.f64)
✓accuracy100.0%
(log.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f)))
✓accuracy99.6%
(*.f64 (PI.f64) f)
✓accuracy99.4%
(*.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (log.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f))))
✓accuracy96.2%
(PI.f64)
✓accuracy99.6%
(*.f64 (PI.f64) f)
✓accuracy99.6%
(/.f64 (PI.f64) (log.f64 (tanh.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f)))))
✓accuracy98.9%
(log.f64 (tanh.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f))))
✓accuracy96.2%
(PI.f64)
Samples
454.0ms245×2valid
115.0ms10×5exit
3.0ms1×3valid
Compiler

Compiled 633 to 63 computations (90% saved)

Precisions
Click to see histograms. Total time spent on operations: 478.0ms
ival-div: 125.0ms (26.1% of total)
ival-log: 123.0ms (25.7% of total)
ival-mult: 120.0ms (25.1% of total)
adjust: 47.0ms (9.8% of total)
ival-add: 19.0ms (4% of total)
ival-tanh: 14.0ms (2.9% of total)
ival-pi: 10.0ms (2.1% of total)
const: 8.0ms (1.7% of total)
ival-neg: 6.0ms (1.3% of total)
ival-sqrt: 5.0ms (1% of total)
exact: 1.0ms (0.2% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series13.0ms (0.1%)

Memory
15.4MiB live, 15.4MiB allocated
Counts
23 → 156
Calls
Call 1
Inputs
#s(alt (/.f64 #s(literal 4 binary64) (/.f64 (PI.f64) (log.f64 (tanh.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f)))))) (patch (/.f64 #s(literal 4 binary64) (/.f64 (PI.f64) (log.f64 (tanh.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f)))))) #<representation binary64>) () ())
#s(alt (/.f64 (PI.f64) (log.f64 (tanh.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f))))) (patch (/.f64 (PI.f64) (log.f64 (tanh.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f))))) #<representation binary64>) () ())
#s(alt (PI.f64) (patch (PI.f64) #<representation binary64>) () ())
#s(alt (log.f64 (tanh.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f)))) (patch (log.f64 (tanh.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f)))) #<representation binary64>) () ())
#s(alt (*.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (log.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f)))) (patch (*.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (log.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f)))) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 4 binary64) (PI.f64)) (patch (/.f64 #s(literal 4 binary64) (PI.f64)) #<representation binary64>) () ())
#s(alt (log.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f))) (patch (log.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f))) #<representation binary64>) () ())
#s(alt (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))) (patch (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))) #<representation binary64>) () ())
#s(alt (/.f64 (log.f64 (*.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))) (patch (/.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))) #<representation binary64>) () ())
#s(alt (log.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))) (patch (log.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))) #<representation binary64>) () ())
#s(alt (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64))) (patch (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64))) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 #s(literal 1/4 binary64) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64))) (patch (*.f64 (*.f64 #s(literal 1/4 binary64) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64))) #<representation binary64>) () ())
#s(alt (/.f64 (+.f64 #s(literal 0 binary64) (/.f64 #s(literal 4 binary64) (PI.f64))) f) (patch (/.f64 (+.f64 #s(literal 0 binary64) (/.f64 #s(literal 4 binary64) (PI.f64))) f) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 1/4 binary64) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)))) (patch (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 1/4 binary64) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)))) #<representation binary64>) () ())
#s(alt (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 (+.f64 #s(literal 0 binary64) (/.f64 #s(literal 4 binary64) (PI.f64))) f)))) (patch (neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 1/4 binary64) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)))) (log.f64 (/.f64 (+.f64 #s(literal 0 binary64) (/.f64 #s(literal 4 binary64) (PI.f64))) f)))) #<representation binary64>) () ())
#s(alt (fma.f64 (PI.f64) (*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal -1/32 binary64)) #s(literal -1/4 binary64)) (*.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal -1/128 binary64)))) (patch (fma.f64 (PI.f64) (*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal -1/32 binary64)) #s(literal -1/4 binary64)) (*.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal -1/128 binary64)))) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (patch (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) #<representation binary64>) () ())
#s(alt (/.f64 (*.f64 (*.f64 f #s(literal -4 binary64)) (fma.f64 (PI.f64) (*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal -1/32 binary64)) #s(literal -1/4 binary64)) (*.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal -1/128 binary64))))) (PI.f64)) (patch (/.f64 (*.f64 (*.f64 f #s(literal -4 binary64)) (fma.f64 (PI.f64) (*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal -1/32 binary64)) #s(literal -1/4 binary64)) (*.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal -1/128 binary64))))) (PI.f64)) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 f #s(literal -4 binary64)) (fma.f64 (PI.f64) (*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal -1/32 binary64)) #s(literal -1/4 binary64)) (*.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal -1/128 binary64))))) (patch (*.f64 (*.f64 f #s(literal -4 binary64)) (fma.f64 (PI.f64) (*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal -1/32 binary64)) #s(literal -1/4 binary64)) (*.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal -1/128 binary64))))) #<representation binary64>) () ())
#s(alt (*.f64 (PI.f64) f) (patch (*.f64 (PI.f64) f) #<representation binary64>) () ())
#s(alt (sqrt.f64 (PI.f64)) (patch (sqrt.f64 (PI.f64)) #<representation binary64>) () ())
#s(alt (fma.f64 (PI.f64) #s(literal 1/16 binary64) (fma.f64 (PI.f64) #s(literal -1/48 binary64) (*.f64 (PI.f64) #s(literal -1/48 binary64)))) (patch (fma.f64 (PI.f64) #s(literal 1/16 binary64) (fma.f64 (PI.f64) #s(literal -1/48 binary64) (*.f64 (PI.f64) #s(literal -1/48 binary64)))) #<representation binary64>) () ())
#s(alt (*.f64 (PI.f64) #s(literal -1/48 binary64)) (patch (*.f64 (PI.f64) #s(literal -1/48 binary64)) #<representation binary64>) () ())
Outputs
#s(alt (* 4 (/ (+ (log f) (log (* 1/4 (PI)))) (PI))) (taylor 0 f) (#s(alt (/.f64 #s(literal 4 binary64) (/.f64 (PI.f64) (log.f64 (tanh.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f)))))) (patch (/.f64 #s(literal 4 binary64) (/.f64 (PI.f64) (log.f64 (tanh.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f)))))) #<representation binary64>) () ())) ())
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#s(alt (* -4 (/ (* f (+ (* -1/128 (pow (PI) 3)) (* 1/128 (pow (PI) 3)))) (PI))) (taylor -inf f) (#s(alt (/.f64 (*.f64 (*.f64 f #s(literal -4 binary64)) (fma.f64 (PI.f64) (*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal -1/32 binary64)) #s(literal -1/4 binary64)) (*.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal -1/128 binary64))))) (PI.f64)) (patch (/.f64 (*.f64 (*.f64 f #s(literal -4 binary64)) (fma.f64 (PI.f64) (*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal -1/32 binary64)) #s(literal -1/4 binary64)) (*.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal -1/128 binary64))))) (PI.f64)) #<representation binary64>) () ())) ())
#s(alt (* -4 (/ (* f (+ (* -1/128 (pow (PI) 3)) (* 1/128 (pow (PI) 3)))) (PI))) (taylor -inf f) (#s(alt (/.f64 (*.f64 (*.f64 f #s(literal -4 binary64)) (fma.f64 (PI.f64) (*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal -1/32 binary64)) #s(literal -1/4 binary64)) (*.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal -1/128 binary64))))) (PI.f64)) (patch (/.f64 (*.f64 (*.f64 f #s(literal -4 binary64)) (fma.f64 (PI.f64) (*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal -1/32 binary64)) #s(literal -1/4 binary64)) (*.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal -1/128 binary64))))) (PI.f64)) #<representation binary64>) () ())) ())
#s(alt (* -4 (/ (* f (+ (* -1/128 (pow (PI) 3)) (* 1/128 (pow (PI) 3)))) (PI))) (taylor -inf f) (#s(alt (/.f64 (*.f64 (*.f64 f #s(literal -4 binary64)) (fma.f64 (PI.f64) (*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal -1/32 binary64)) #s(literal -1/4 binary64)) (*.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal -1/128 binary64))))) (PI.f64)) (patch (/.f64 (*.f64 (*.f64 f #s(literal -4 binary64)) (fma.f64 (PI.f64) (*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal -1/32 binary64)) #s(literal -1/4 binary64)) (*.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal -1/128 binary64))))) (PI.f64)) #<representation binary64>) () ())) ())
#s(alt (* -4 (/ (* f (+ (* -1/128 (pow (PI) 3)) (* 1/128 (pow (PI) 3)))) (PI))) (taylor -inf f) (#s(alt (/.f64 (*.f64 (*.f64 f #s(literal -4 binary64)) (fma.f64 (PI.f64) (*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal -1/32 binary64)) #s(literal -1/4 binary64)) (*.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal -1/128 binary64))))) (PI.f64)) (patch (/.f64 (*.f64 (*.f64 f #s(literal -4 binary64)) (fma.f64 (PI.f64) (*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal -1/32 binary64)) #s(literal -1/4 binary64)) (*.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal -1/128 binary64))))) (PI.f64)) #<representation binary64>) () ())) ())
#s(alt (* -4 (* f (+ (* -1/128 (pow (PI) 3)) (* 1/128 (pow (PI) 3))))) (taylor 0 f) (#s(alt (*.f64 (*.f64 f #s(literal -4 binary64)) (fma.f64 (PI.f64) (*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal -1/32 binary64)) #s(literal -1/4 binary64)) (*.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal -1/128 binary64))))) (patch (*.f64 (*.f64 f #s(literal -4 binary64)) (fma.f64 (PI.f64) (*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal -1/32 binary64)) #s(literal -1/4 binary64)) (*.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal -1/128 binary64))))) #<representation binary64>) () ())) ())
#s(alt (* -4 (* f (+ (* -1/128 (pow (PI) 3)) (* 1/128 (pow (PI) 3))))) (taylor 0 f) (#s(alt (*.f64 (*.f64 f #s(literal -4 binary64)) (fma.f64 (PI.f64) (*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal -1/32 binary64)) #s(literal -1/4 binary64)) (*.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal -1/128 binary64))))) (patch (*.f64 (*.f64 f #s(literal -4 binary64)) (fma.f64 (PI.f64) (*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal -1/32 binary64)) #s(literal -1/4 binary64)) (*.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal -1/128 binary64))))) #<representation binary64>) () ())) ())
#s(alt (* -4 (* f (+ (* -1/128 (pow (PI) 3)) (* 1/128 (pow (PI) 3))))) (taylor 0 f) (#s(alt (*.f64 (*.f64 f #s(literal -4 binary64)) (fma.f64 (PI.f64) (*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal -1/32 binary64)) #s(literal -1/4 binary64)) (*.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal -1/128 binary64))))) (patch (*.f64 (*.f64 f #s(literal -4 binary64)) (fma.f64 (PI.f64) (*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal -1/32 binary64)) #s(literal -1/4 binary64)) (*.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal -1/128 binary64))))) #<representation binary64>) () ())) ())
#s(alt (* -4 (* f (+ (* -1/128 (pow (PI) 3)) (* 1/128 (pow (PI) 3))))) (taylor 0 f) (#s(alt (*.f64 (*.f64 f #s(literal -4 binary64)) (fma.f64 (PI.f64) (*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal -1/32 binary64)) #s(literal -1/4 binary64)) (*.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal -1/128 binary64))))) (patch (*.f64 (*.f64 f #s(literal -4 binary64)) (fma.f64 (PI.f64) (*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal -1/32 binary64)) #s(literal -1/4 binary64)) (*.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal -1/128 binary64))))) #<representation binary64>) () ())) ())
#s(alt (* -4 (* f (+ (* -1/128 (pow (PI) 3)) (* 1/128 (pow (PI) 3))))) (taylor inf f) (#s(alt (*.f64 (*.f64 f #s(literal -4 binary64)) (fma.f64 (PI.f64) (*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal -1/32 binary64)) #s(literal -1/4 binary64)) (*.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal -1/128 binary64))))) (patch (*.f64 (*.f64 f #s(literal -4 binary64)) (fma.f64 (PI.f64) (*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal -1/32 binary64)) #s(literal -1/4 binary64)) (*.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal -1/128 binary64))))) #<representation binary64>) () ())) ())
#s(alt (* -4 (* f (+ (* -1/128 (pow (PI) 3)) (* 1/128 (pow (PI) 3))))) (taylor inf f) (#s(alt (*.f64 (*.f64 f #s(literal -4 binary64)) (fma.f64 (PI.f64) (*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal -1/32 binary64)) #s(literal -1/4 binary64)) (*.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal -1/128 binary64))))) (patch (*.f64 (*.f64 f #s(literal -4 binary64)) (fma.f64 (PI.f64) (*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal -1/32 binary64)) #s(literal -1/4 binary64)) (*.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal -1/128 binary64))))) #<representation binary64>) () ())) ())
#s(alt (* -4 (* f (+ (* -1/128 (pow (PI) 3)) (* 1/128 (pow (PI) 3))))) (taylor inf f) (#s(alt (*.f64 (*.f64 f #s(literal -4 binary64)) (fma.f64 (PI.f64) (*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal -1/32 binary64)) #s(literal -1/4 binary64)) (*.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal -1/128 binary64))))) (patch (*.f64 (*.f64 f #s(literal -4 binary64)) (fma.f64 (PI.f64) (*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal -1/32 binary64)) #s(literal -1/4 binary64)) (*.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal -1/128 binary64))))) #<representation binary64>) () ())) ())
#s(alt (* -4 (* f (+ (* -1/128 (pow (PI) 3)) (* 1/128 (pow (PI) 3))))) (taylor inf f) (#s(alt (*.f64 (*.f64 f #s(literal -4 binary64)) (fma.f64 (PI.f64) (*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal -1/32 binary64)) #s(literal -1/4 binary64)) (*.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal -1/128 binary64))))) (patch (*.f64 (*.f64 f #s(literal -4 binary64)) (fma.f64 (PI.f64) (*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal -1/32 binary64)) #s(literal -1/4 binary64)) (*.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal -1/128 binary64))))) #<representation binary64>) () ())) ())
#s(alt (* -4 (* f (+ (* -1/128 (pow (PI) 3)) (* 1/128 (pow (PI) 3))))) (taylor -inf f) (#s(alt (*.f64 (*.f64 f #s(literal -4 binary64)) (fma.f64 (PI.f64) (*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal -1/32 binary64)) #s(literal -1/4 binary64)) (*.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal -1/128 binary64))))) (patch (*.f64 (*.f64 f #s(literal -4 binary64)) (fma.f64 (PI.f64) (*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal -1/32 binary64)) #s(literal -1/4 binary64)) (*.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal -1/128 binary64))))) #<representation binary64>) () ())) ())
#s(alt (* -4 (* f (+ (* -1/128 (pow (PI) 3)) (* 1/128 (pow (PI) 3))))) (taylor -inf f) (#s(alt (*.f64 (*.f64 f #s(literal -4 binary64)) (fma.f64 (PI.f64) (*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal -1/32 binary64)) #s(literal -1/4 binary64)) (*.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal -1/128 binary64))))) (patch (*.f64 (*.f64 f #s(literal -4 binary64)) (fma.f64 (PI.f64) (*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal -1/32 binary64)) #s(literal -1/4 binary64)) (*.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal -1/128 binary64))))) #<representation binary64>) () ())) ())
#s(alt (* -4 (* f (+ (* -1/128 (pow (PI) 3)) (* 1/128 (pow (PI) 3))))) (taylor -inf f) (#s(alt (*.f64 (*.f64 f #s(literal -4 binary64)) (fma.f64 (PI.f64) (*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal -1/32 binary64)) #s(literal -1/4 binary64)) (*.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal -1/128 binary64))))) (patch (*.f64 (*.f64 f #s(literal -4 binary64)) (fma.f64 (PI.f64) (*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal -1/32 binary64)) #s(literal -1/4 binary64)) (*.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal -1/128 binary64))))) #<representation binary64>) () ())) ())
#s(alt (* -4 (* f (+ (* -1/128 (pow (PI) 3)) (* 1/128 (pow (PI) 3))))) (taylor -inf f) (#s(alt (*.f64 (*.f64 f #s(literal -4 binary64)) (fma.f64 (PI.f64) (*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal -1/32 binary64)) #s(literal -1/4 binary64)) (*.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal -1/128 binary64))))) (patch (*.f64 (*.f64 f #s(literal -4 binary64)) (fma.f64 (PI.f64) (*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal -1/32 binary64)) #s(literal -1/4 binary64)) (*.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal -1/128 binary64))))) #<representation binary64>) () ())) ())
#s(alt (* f (PI)) (taylor 0 f) (#s(alt (*.f64 (PI.f64) f) (patch (*.f64 (PI.f64) f) #<representation binary64>) () ())) ())
#s(alt (* f (PI)) (taylor 0 f) (#s(alt (*.f64 (PI.f64) f) (patch (*.f64 (PI.f64) f) #<representation binary64>) () ())) ())
#s(alt (* f (PI)) (taylor 0 f) (#s(alt (*.f64 (PI.f64) f) (patch (*.f64 (PI.f64) f) #<representation binary64>) () ())) ())
#s(alt (* f (PI)) (taylor 0 f) (#s(alt (*.f64 (PI.f64) f) (patch (*.f64 (PI.f64) f) #<representation binary64>) () ())) ())
#s(alt (* f (PI)) (taylor inf f) (#s(alt (*.f64 (PI.f64) f) (patch (*.f64 (PI.f64) f) #<representation binary64>) () ())) ())
#s(alt (* f (PI)) (taylor inf f) (#s(alt (*.f64 (PI.f64) f) (patch (*.f64 (PI.f64) f) #<representation binary64>) () ())) ())
#s(alt (* f (PI)) (taylor inf f) (#s(alt (*.f64 (PI.f64) f) (patch (*.f64 (PI.f64) f) #<representation binary64>) () ())) ())
#s(alt (* f (PI)) (taylor inf f) (#s(alt (*.f64 (PI.f64) f) (patch (*.f64 (PI.f64) f) #<representation binary64>) () ())) ())
#s(alt (* f (PI)) (taylor -inf f) (#s(alt (*.f64 (PI.f64) f) (patch (*.f64 (PI.f64) f) #<representation binary64>) () ())) ())
#s(alt (* f (PI)) (taylor -inf f) (#s(alt (*.f64 (PI.f64) f) (patch (*.f64 (PI.f64) f) #<representation binary64>) () ())) ())
#s(alt (* f (PI)) (taylor -inf f) (#s(alt (*.f64 (PI.f64) f) (patch (*.f64 (PI.f64) f) #<representation binary64>) () ())) ())
#s(alt (* f (PI)) (taylor -inf f) (#s(alt (*.f64 (PI.f64) f) (patch (*.f64 (PI.f64) f) #<representation binary64>) () ())) ())
Calls

39 calls:

TimeVariablePointExpression
2.0ms
f
@0
(/ (* (* f -4) (+ (* (PI) (* (* (* (PI) (PI)) -1/32) -1/4)) (* (PI) (* (* (PI) (PI)) -1/128)))) (PI))
1.0ms
f
@0
(/ (PI) (log (tanh (* 1/4 (* (PI) f)))))
1.0ms
f
@inf
(* (* f -4) (+ (* (PI) (* (* (* (PI) (PI)) -1/32) -1/4)) (* (PI) (* (* (PI) (PI)) -1/128))))
0.0ms
f
@inf
(/ (* (* f -4) (+ (* (PI) (* (* (* (PI) (PI)) -1/32) -1/4)) (* (PI) (* (* (PI) (PI)) -1/128)))) (PI))
0.0ms
f
@0
(* (* f -4) (+ (* (PI) (* (* (* (PI) (PI)) -1/32) -1/4)) (* (PI) (* (* (PI) (PI)) -1/128))))

rewrite690.0ms (3.7%)

Memory
-55.5MiB live, 420.3MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
8 710×lower-fma.f32
8 704×lower-fma.f64
4 196×lower-*.f32
4 160×lower-*.f64
3 094×lower-/.f32
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
050199
091156
1327135
22614135
08883135
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
23 → 1 537
Calls
Call 1
Inputs
(/.f64 #s(literal 4 binary64) (/.f64 (PI.f64) (log.f64 (tanh.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f))))))
(/.f64 (PI.f64) (log.f64 (tanh.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f)))))
(PI.f64)
(log.f64 (tanh.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f))))
(*.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (log.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f))))
(/.f64 #s(literal 4 binary64) (PI.f64))
(log.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) 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 #s(literal 1/4 binary64) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)))
(/.f64 (+.f64 #s(literal 0 binary64) (/.f64 #s(literal 4 binary64) (PI.f64))) f)
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 1/4 binary64) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64))))
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 1/4 binary64) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)))) (log.f64 (/.f64 (+.f64 #s(literal 0 binary64) (/.f64 #s(literal 4 binary64) (PI.f64))) f))))
(fma.f64 (PI.f64) (*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal -1/32 binary64)) #s(literal -1/4 binary64)) (*.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal -1/128 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64)))
(/.f64 (*.f64 (*.f64 f #s(literal -4 binary64)) (fma.f64 (PI.f64) (*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal -1/32 binary64)) #s(literal -1/4 binary64)) (*.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal -1/128 binary64))))) (PI.f64))
(*.f64 (*.f64 f #s(literal -4 binary64)) (fma.f64 (PI.f64) (*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal -1/32 binary64)) #s(literal -1/4 binary64)) (*.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal -1/128 binary64)))))
(*.f64 (PI.f64) f)
(sqrt.f64 (PI.f64))
(fma.f64 (PI.f64) #s(literal 1/16 binary64) (fma.f64 (PI.f64) #s(literal -1/48 binary64) (*.f64 (PI.f64) #s(literal -1/48 binary64))))
(*.f64 (PI.f64) #s(literal -1/48 binary64))
Outputs
(exp.f64 (*.f64 (log.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 0 binary64) (/.f64 (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))) (*.f64 (PI.f64) #s(literal -1/4 binary64))))
(-.f64 (/.f64 (/.f64 #s(literal 0 binary64) (/.f64 #s(literal 4 binary64) (PI.f64))) (/.f64 #s(literal 1 binary64) (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))))) (/.f64 (/.f64 #s(literal -4 binary64) (PI.f64)) (/.f64 #s(literal 1 binary64) (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))))))
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simplify454.0ms (2.4%)

Memory
15.9MiB live, 286.8MiB allocated
Algorithm
1×egg-herbie
Rules
6 412×lower-fma.f64
6 412×lower-fma.f32
4 074×lower-*.f64
4 074×lower-*.f32
3 802×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02142959
16572452
226921985
088191944
Stop Event
1×iter limit
1×node limit
Counts
156 → 156
Calls
Call 1
Inputs
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(* -4 (/ (+ (log (/ 1 f)) (log (/ 4 (PI)))) (PI)))
(* -4 (/ (+ (log (/ -4 (PI))) (log (/ -1 f))) (PI)))
(* -4 (/ (+ (log (/ -4 (PI))) (log (/ -1 f))) (PI)))
(* -4 (/ (+ (log (/ -4 (PI))) (log (/ -1 f))) (PI)))
(* -4 (/ (+ (log (/ -4 (PI))) (log (/ -1 f))) (PI)))
(* -4 (/ (* f (+ (* -1/128 (pow (PI) 3)) (* 1/128 (pow (PI) 3)))) (PI)))
(* -4 (/ (* f (+ (* -1/128 (pow (PI) 3)) (* 1/128 (pow (PI) 3)))) (PI)))
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(* -4 (/ (* f (+ (* -1/128 (pow (PI) 3)) (* 1/128 (pow (PI) 3)))) (PI)))
(* -4 (/ (* f (+ (* -1/128 (pow (PI) 3)) (* 1/128 (pow (PI) 3)))) (PI)))
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(* -4 (/ (* f (+ (* -1/128 (pow (PI) 3)) (* 1/128 (pow (PI) 3)))) (PI)))
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(* -4 (* f (+ (* -1/128 (pow (PI) 3)) (* 1/128 (pow (PI) 3)))))
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(* -4 (* f (+ (* -1/128 (pow (PI) 3)) (* 1/128 (pow (PI) 3)))))
(* -4 (* f (+ (* -1/128 (pow (PI) 3)) (* 1/128 (pow (PI) 3)))))
(* -4 (* f (+ (* -1/128 (pow (PI) 3)) (* 1/128 (pow (PI) 3)))))
(* f (PI))
(* f (PI))
(* f (PI))
(* f (PI))
(* f (PI))
(* f (PI))
(* f (PI))
(* f (PI))
(* f (PI))
(* f (PI))
(* f (PI))
(* f (PI))
Outputs
(* 4 (/ (+ (log f) (log (* 1/4 (PI)))) (PI)))
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(/ (PI) (+ (log f) (log (* 1/4 (PI)))))
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(* 1/4 (* f (PI)))
(*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))
(* 1/4 (* f (PI)))
(*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))
(* 1/4 (* 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)))
(/ 4 (* f (PI)))
(/.f64 #s(literal 4 binary64) (*.f64 f (PI.f64)))
(/ 4 (* f (PI)))
(/.f64 #s(literal 4 binary64) (*.f64 f (PI.f64)))
(/ 4 (* f (PI)))
(/.f64 #s(literal 4 binary64) (*.f64 f (PI.f64)))
(/ 4 (* f (PI)))
(/.f64 #s(literal 4 binary64) (*.f64 f (PI.f64)))
(/ 4 (* f (PI)))
(/.f64 #s(literal 4 binary64) (*.f64 f (PI.f64)))
(/ 4 (* f (PI)))
(/.f64 #s(literal 4 binary64) (*.f64 f (PI.f64)))
(/ 4 (* f (PI)))
(/.f64 #s(literal 4 binary64) (*.f64 f (PI.f64)))
(/ 4 (* f (PI)))
(/.f64 #s(literal 4 binary64) (*.f64 f (PI.f64)))
(/ 4 (* f (PI)))
(/.f64 #s(literal 4 binary64) (*.f64 f (PI.f64)))
(/ 4 (* f (PI)))
(/.f64 #s(literal 4 binary64) (*.f64 f (PI.f64)))
(/ 4 (* f (PI)))
(/.f64 #s(literal 4 binary64) (*.f64 f (PI.f64)))
(/ 4 (* f (PI)))
(/.f64 #s(literal 4 binary64) (*.f64 f (PI.f64)))
(* -4 (/ (+ (log (/ 4 (PI))) (* -1 (log f))) (PI)))
(/.f64 (*.f64 #s(literal -4 binary64) (-.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (log.f64 f))) (PI.f64))
(* -4 (/ (+ (log (/ 4 (PI))) (* -1 (log f))) (PI)))
(/.f64 (*.f64 #s(literal -4 binary64) (-.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (log.f64 f))) (PI.f64))
(* -4 (/ (+ (log (/ 4 (PI))) (* -1 (log f))) (PI)))
(/.f64 (*.f64 #s(literal -4 binary64) (-.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (log.f64 f))) (PI.f64))
(* -4 (/ (+ (log (/ 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))
(* -4 (/ (* f (+ (* -1/128 (pow (PI) 3)) (* 1/128 (pow (PI) 3)))) (PI)))
#s(literal 0 binary64)
(* -4 (/ (* f (+ (* -1/128 (pow (PI) 3)) (* 1/128 (pow (PI) 3)))) (PI)))
#s(literal 0 binary64)
(* -4 (/ (* f (+ (* -1/128 (pow (PI) 3)) (* 1/128 (pow (PI) 3)))) (PI)))
#s(literal 0 binary64)
(* -4 (/ (* f (+ (* -1/128 (pow (PI) 3)) (* 1/128 (pow (PI) 3)))) (PI)))
#s(literal 0 binary64)
(* -4 (/ (* f (+ (* -1/128 (pow (PI) 3)) (* 1/128 (pow (PI) 3)))) (PI)))
#s(literal 0 binary64)
(* -4 (/ (* f (+ (* -1/128 (pow (PI) 3)) (* 1/128 (pow (PI) 3)))) (PI)))
#s(literal 0 binary64)
(* -4 (/ (* f (+ (* -1/128 (pow (PI) 3)) (* 1/128 (pow (PI) 3)))) (PI)))
#s(literal 0 binary64)
(* -4 (/ (* f (+ (* -1/128 (pow (PI) 3)) (* 1/128 (pow (PI) 3)))) (PI)))
#s(literal 0 binary64)
(* -4 (/ (* f (+ (* -1/128 (pow (PI) 3)) (* 1/128 (pow (PI) 3)))) (PI)))
#s(literal 0 binary64)
(* -4 (/ (* f (+ (* -1/128 (pow (PI) 3)) (* 1/128 (pow (PI) 3)))) (PI)))
#s(literal 0 binary64)
(* -4 (/ (* f (+ (* -1/128 (pow (PI) 3)) (* 1/128 (pow (PI) 3)))) (PI)))
#s(literal 0 binary64)
(* -4 (/ (* f (+ (* -1/128 (pow (PI) 3)) (* 1/128 (pow (PI) 3)))) (PI)))
#s(literal 0 binary64)
(* -4 (* f (+ (* -1/128 (pow (PI) 3)) (* 1/128 (pow (PI) 3)))))
#s(literal 0 binary64)
(* -4 (* f (+ (* -1/128 (pow (PI) 3)) (* 1/128 (pow (PI) 3)))))
#s(literal 0 binary64)
(* -4 (* f (+ (* -1/128 (pow (PI) 3)) (* 1/128 (pow (PI) 3)))))
#s(literal 0 binary64)
(* -4 (* f (+ (* -1/128 (pow (PI) 3)) (* 1/128 (pow (PI) 3)))))
#s(literal 0 binary64)
(* -4 (* f (+ (* -1/128 (pow (PI) 3)) (* 1/128 (pow (PI) 3)))))
#s(literal 0 binary64)
(* -4 (* f (+ (* -1/128 (pow (PI) 3)) (* 1/128 (pow (PI) 3)))))
#s(literal 0 binary64)
(* -4 (* f (+ (* -1/128 (pow (PI) 3)) (* 1/128 (pow (PI) 3)))))
#s(literal 0 binary64)
(* -4 (* f (+ (* -1/128 (pow (PI) 3)) (* 1/128 (pow (PI) 3)))))
#s(literal 0 binary64)
(* -4 (* f (+ (* -1/128 (pow (PI) 3)) (* 1/128 (pow (PI) 3)))))
#s(literal 0 binary64)
(* -4 (* f (+ (* -1/128 (pow (PI) 3)) (* 1/128 (pow (PI) 3)))))
#s(literal 0 binary64)
(* -4 (* f (+ (* -1/128 (pow (PI) 3)) (* 1/128 (pow (PI) 3)))))
#s(literal 0 binary64)
(* -4 (* f (+ (* -1/128 (pow (PI) 3)) (* 1/128 (pow (PI) 3)))))
#s(literal 0 binary64)
(* f (PI))
(*.f64 f (PI.f64))
(* f (PI))
(*.f64 f (PI.f64))
(* f (PI))
(*.f64 f (PI.f64))
(* f (PI))
(*.f64 f (PI.f64))
(* f (PI))
(*.f64 f (PI.f64))
(* f (PI))
(*.f64 f (PI.f64))
(* f (PI))
(*.f64 f (PI.f64))
(* f (PI))
(*.f64 f (PI.f64))
(* f (PI))
(*.f64 f (PI.f64))
(* f (PI))
(*.f64 f (PI.f64))
(* f (PI))
(*.f64 f (PI.f64))
(* f (PI))
(*.f64 f (PI.f64))

eval924.0ms (4.9%)

Memory
38.2MiB live, 1 247.8MiB allocated
Compiler

Compiled 107 286 to 14 741 computations (86.3% saved)

prune426.0ms (2.3%)

Memory
-39.2MiB live, 1 025.8MiB allocated
Pruning

25 alts after pruning (20 fresh and 5 done)

PrunedKeptTotal
New3 207133 220
Fresh6713
Picked235
Done022
Total3 215253 240
Accuracy
99.9%
Counts
3 240 → 25
Alt Table
Click to see full alt table
StatusAccuracyProgram
11.9%
(/.f64 (-.f64 (log1p.f64 (neg.f64 (exp.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f)) #s(literal -2 binary64))))) (log1p.f64 (exp.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f)) #s(literal -2 binary64))))) (*.f64 (PI.f64) #s(literal 1/4 binary64)))
94.0%
(/.f64 (+.f64 (neg.f64 (log.f64 (cosh.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f))))) (log.f64 (sinh.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f))))) (*.f64 (PI.f64) #s(literal 1/4 binary64)))
92.6%
(/.f64 (*.f64 (neg.f64 (/.f64 #s(literal 16 binary64) (*.f64 (PI.f64) (PI.f64)))) (log.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))) (/.f64 #s(literal -4 binary64) (PI.f64)))
98.2%
(/.f64 (*.f64 (neg.f64 (/.f64 #s(literal 16 binary64) (*.f64 (PI.f64) (PI.f64)))) (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))))) (/.f64 #s(literal -4 binary64) (PI.f64)))
92.7%
(/.f64 (log.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) f) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)))) (*.f64 (PI.f64) #s(literal 1/4 binary64)))
92.3%
(/.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)))
✓91.7%
(/.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)))
✓92.7%
(/.f64 (log.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))) (*.f64 (PI.f64) #s(literal 1/4 binary64)))
✓98.3%
(/.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (*.f64 (PI.f64) #s(literal 1/4 binary64)))
11.9%
(/.f64 #s(literal 4 binary64) (/.f64 (PI.f64) (-.f64 (log1p.f64 (neg.f64 (exp.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (PI.f64) f))))) (log1p.f64 (exp.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (PI.f64) f)))))))
✓98.3%
(/.f64 #s(literal 4 binary64) (/.f64 (PI.f64) (log.f64 (tanh.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f))))))
92.7%
(/.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)))))
92.7%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/4 binary64) (/.f64 (log.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))) (PI.f64))))
92.6%
(-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) (*.f64 (PI.f64) #s(literal -1/4 binary64))) (/.f64 (log.f64 (*.f64 (PI.f64) (*.f64 f #s(literal 1/2 binary64)))) (*.f64 (PI.f64) #s(literal -1/4 binary64))))
92.5%
(*.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))))
✓92.7%
(*.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (log.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f))))
92.2%
(*.f64 (*.f64 (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64)))) (log.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f))))
92.7%
(neg.f64 (*.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (log.f64 (/.f64 (+.f64 #s(literal 0 binary64) (/.f64 #s(literal 4 binary64) (PI.f64))) f))))
93.4%
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (fma.f64 (fma.f64 (PI.f64) #s(literal 1/16 binary64) (fma.f64 (PI.f64) #s(literal -1/48 binary64) (*.f64 (PI.f64) #s(literal -1/48 binary64)))) (*.f64 #s(literal 4 binary64) (*.f64 f f)) (/.f64 #s(literal 4 binary64) (PI.f64))) f))))
93.4%
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (fma.f64 (*.f64 f f) (fma.f64 #s(literal 4 binary64) (fma.f64 (PI.f64) #s(literal 1/16 binary64) (fma.f64 (PI.f64) #s(literal -1/48 binary64) (*.f64 (PI.f64) #s(literal -1/48 binary64)))) (/.f64 (fma.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/128 binary64))) #s(literal -4 binary64)) f (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal -1/128 binary64))) (*.f64 (PI.f64) (*.f64 f #s(literal -4 binary64))))) (PI.f64))) (/.f64 #s(literal 4 binary64) (PI.f64))) f))))
93.4%
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (fma.f64 (*.f64 f f) (fma.f64 #s(literal 4 binary64) (fma.f64 (PI.f64) #s(literal 1/16 binary64) (fma.f64 (PI.f64) #s(literal -1/48 binary64) (*.f64 (PI.f64) #s(literal -1/48 binary64)))) (/.f64 (fma.f64 (*.f64 (*.f64 f #s(literal -4 binary64)) (PI.f64)) (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal -1/128 binary64))) (*.f64 f (*.f64 #s(literal -4 binary64) (*.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/128 binary64)))))) (PI.f64))) (/.f64 #s(literal 4 binary64) (PI.f64))) f))))
93.4%
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (fma.f64 (*.f64 f f) (fma.f64 #s(literal 4 binary64) (fma.f64 (PI.f64) #s(literal 1/16 binary64) (fma.f64 (PI.f64) #s(literal -1/48 binary64) (*.f64 (PI.f64) #s(literal -1/48 binary64)))) (/.f64 (*.f64 (*.f64 f #s(literal -4 binary64)) (fma.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal -1/128 binary64))) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (*.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/128 binary64))))) (PI.f64))) (/.f64 #s(literal 4 binary64) (PI.f64))) f))))
93.4%
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (fma.f64 (*.f64 f f) (fma.f64 #s(literal 4 binary64) (fma.f64 (PI.f64) #s(literal 1/16 binary64) (fma.f64 (PI.f64) #s(literal -1/48 binary64) (*.f64 (PI.f64) #s(literal -1/48 binary64)))) (/.f64 (*.f64 (*.f64 f #s(literal -4 binary64)) (fma.f64 (PI.f64) (*.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64)))) (PI.f64)) #s(literal -1/32 binary64)) #s(literal -1/4 binary64)) (*.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal -1/128 binary64))))) (PI.f64))) (/.f64 #s(literal 4 binary64) (PI.f64))) f))))
93.4%
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (fma.f64 (*.f64 f f) (fma.f64 #s(literal 4 binary64) (*.f64 (PI.f64) #s(literal 1/48 binary64)) (/.f64 (*.f64 (*.f64 f #s(literal -4 binary64)) (fma.f64 (PI.f64) (*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal -1/32 binary64)) #s(literal -1/4 binary64)) (*.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal -1/128 binary64))))) (PI.f64))) (/.f64 #s(literal 4 binary64) (PI.f64))) f))))
91.4%
(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 (/.f64 #s(literal 4 binary64) (PI.f64)) f))))
Compiler

Compiled 1 958 to 754 computations (61.5% saved)

regimes128.0ms (0.7%)

Memory
-4.1MiB live, 192.0MiB allocated
Counts
59 → 1
Calls
Call 1
Inputs
(*.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (log.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) 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 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)))))
(neg.f64 (*.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (log.f64 (/.f64 (+.f64 #s(literal 0 binary64) (/.f64 #s(literal 4 binary64) (PI.f64))) f))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/4 binary64) (/.f64 (log.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f))) (PI.f64))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/4 binary64) (/.f64 (log.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))) (PI.f64))))
(neg.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/4 binary64) (/.f64 (neg.f64 (log.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f)))) (PI.f64)))))
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 #s(literal 2 binary64) (*.f64 f (*.f64 (PI.f64) #s(literal 1/2 binary64)))))))
(/.f64 (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 (*.f64 (*.f64 #s(literal 1/4 binary64) f) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)))) (*.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 (+.f64 #s(literal 0 binary64) (/.f64 #s(literal 4 binary64) (PI.f64))) f))))
(/.f64 (*.f64 (log.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f))) (neg.f64 (/.f64 #s(literal 16 binary64) (*.f64 (PI.f64) (PI.f64))))) (/.f64 #s(literal -4 binary64) (PI.f64)))
(/.f64 (*.f64 (neg.f64 (/.f64 #s(literal 16 binary64) (*.f64 (PI.f64) (PI.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 (log.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))) (sqrt.f64 (PI.f64))))
(neg.f64 (*.f64 (/.f64 (neg.f64 (log.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f)))) (sqrt.f64 (PI.f64))) (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64)))))
(*.f64 (*.f64 (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64)))) (log.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f))))
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 1/4 binary64) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)))) (log.f64 (/.f64 #s(literal 2 binary64) (*.f64 f (*.f64 (PI.f64) #s(literal 1/2 binary64)))))))
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 1/4 binary64) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)))) (log.f64 (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f))))
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 1/4 binary64) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)))) (log.f64 (/.f64 (+.f64 #s(literal 0 binary64) (/.f64 #s(literal 4 binary64) (PI.f64))) f))))
(neg.f64 (*.f64 (*.f64 (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64)))) (log.f64 (/.f64 #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 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) (*.f64 f #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 (fma.f64 (PI.f64) #s(literal 1/16 binary64) (fma.f64 (PI.f64) #s(literal -1/48 binary64) (*.f64 (PI.f64) #s(literal -1/48 binary64)))) (*.f64 #s(literal 4 binary64) (*.f64 f f)) (/.f64 #s(literal 4 binary64) (PI.f64))) f))))
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (fma.f64 f (*.f64 f (fma.f64 (*.f64 #s(literal 1/192 binary64) (*.f64 #s(literal 2 binary64) (+.f64 (PI.f64) (PI.f64)))) #s(literal -2 binary64) (*.f64 #s(literal 1/16 binary64) (+.f64 (PI.f64) (PI.f64))))) (/.f64 #s(literal 4 binary64) (PI.f64))) f))))
(/.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (*.f64 (PI.f64) #s(literal 1/4 binary64)))
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (fma.f64 (*.f64 f f) (fma.f64 #s(literal 4 binary64) (*.f64 (PI.f64) #s(literal 1/48 binary64)) (/.f64 (*.f64 (*.f64 f #s(literal -4 binary64)) (fma.f64 (PI.f64) (*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal -1/32 binary64)) #s(literal -1/4 binary64)) (*.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal -1/128 binary64))))) (PI.f64))) (/.f64 #s(literal 4 binary64) (PI.f64))) f))))
(*.f64 (-.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (log.f64 f)) (/.f64 #s(literal -4 binary64) (PI.f64)))
(/.f64 #s(literal 4 binary64) (/.f64 (PI.f64) (log.f64 (tanh.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f))))))
(/.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 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (fma.f64 (*.f64 f f) (fma.f64 #s(literal 4 binary64) (fma.f64 (PI.f64) #s(literal 1/16 binary64) (fma.f64 (PI.f64) #s(literal -1/48 binary64) (*.f64 (PI.f64) #s(literal -1/48 binary64)))) (/.f64 (*.f64 (*.f64 f #s(literal -4 binary64)) (fma.f64 (PI.f64) (*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal -1/32 binary64)) #s(literal -1/4 binary64)) (*.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal -1/128 binary64))))) (PI.f64))) (/.f64 #s(literal 4 binary64) (PI.f64))) f))))
(/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (/.f64 #s(literal 1 binary64) (log.f64 (tanh.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f))))))
(-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) (*.f64 (PI.f64) #s(literal -1/4 binary64))) (/.f64 (log.f64 (*.f64 (PI.f64) (*.f64 f #s(literal 1/2 binary64)))) (*.f64 (PI.f64) #s(literal -1/4 binary64))))
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (fma.f64 (*.f64 f f) (fma.f64 #s(literal 4 binary64) (fma.f64 (PI.f64) #s(literal 1/16 binary64) (fma.f64 (PI.f64) #s(literal -1/48 binary64) (*.f64 (PI.f64) #s(literal -1/48 binary64)))) (/.f64 (fma.f64 (*.f64 (*.f64 f #s(literal -4 binary64)) (PI.f64)) (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal -1/128 binary64))) (*.f64 f (*.f64 #s(literal -4 binary64) (*.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/128 binary64)))))) (PI.f64))) (/.f64 #s(literal 4 binary64) (PI.f64))) f))))
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (fma.f64 (*.f64 f f) (fma.f64 #s(literal 4 binary64) (fma.f64 (PI.f64) #s(literal 1/16 binary64) (fma.f64 (PI.f64) #s(literal -1/48 binary64) (*.f64 (PI.f64) #s(literal -1/48 binary64)))) (/.f64 (fma.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/128 binary64))) #s(literal -4 binary64)) f (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal -1/128 binary64))) (*.f64 (PI.f64) (*.f64 f #s(literal -4 binary64))))) (PI.f64))) (/.f64 #s(literal 4 binary64) (PI.f64))) f))))
(neg.f64 (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) (*.f64 (PI.f64) #s(literal 1/4 binary64))) (/.f64 (log.f64 (*.f64 f (*.f64 (PI.f64) #s(literal 1/2 binary64)))) (*.f64 (PI.f64) #s(literal 1/4 binary64)))))
(neg.f64 (-.f64 (/.f64 (neg.f64 (log.f64 (*.f64 f #s(literal 1/2 binary64)))) (*.f64 (PI.f64) #s(literal 1/4 binary64))) (/.f64 (log.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) (*.f64 (PI.f64) #s(literal 1/4 binary64)))))
(/.f64 (*.f64 (neg.f64 (/.f64 #s(literal 16 binary64) (*.f64 (PI.f64) (PI.f64)))) (log.f64 (tanh.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f))))) (/.f64 #s(literal -4 binary64) (PI.f64)))
(/.f64 (*.f64 (neg.f64 (/.f64 #s(literal 16 binary64) (*.f64 (PI.f64) (PI.f64)))) (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))))) (/.f64 #s(literal -4 binary64) (PI.f64)))
(*.f64 (/.f64 (log.f64 (tanh.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) 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)))) (sqrt.f64 (PI.f64))) (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64)))))
(neg.f64 (/.f64 (*.f64 (neg.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))) (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (PI.f64))))
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (fma.f64 (*.f64 f f) (fma.f64 #s(literal 4 binary64) (fma.f64 (PI.f64) #s(literal 1/16 binary64) (fma.f64 (PI.f64) #s(literal -1/48 binary64) (*.f64 (PI.f64) #s(literal -1/48 binary64)))) (/.f64 (*.f64 (*.f64 f #s(literal -4 binary64)) (fma.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal -1/128 binary64))) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (*.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/128 binary64))))) (PI.f64))) (/.f64 #s(literal 4 binary64) (PI.f64))) f))))
(/.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64)))) #s(literal 1/4 binary64)))
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (fma.f64 (*.f64 f f) (fma.f64 #s(literal 4 binary64) (fma.f64 (PI.f64) #s(literal 1/16 binary64) (fma.f64 (PI.f64) #s(literal -1/48 binary64) (*.f64 (PI.f64) #s(literal -1/48 binary64)))) (/.f64 (*.f64 (*.f64 f #s(literal -4 binary64)) (fma.f64 (PI.f64) (*.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64)))) (PI.f64)) #s(literal -1/32 binary64)) #s(literal -1/4 binary64)) (*.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal -1/128 binary64))))) (PI.f64))) (/.f64 #s(literal 4 binary64) (PI.f64))) f))))
(*.f64 (pow.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) #s(literal -1/2 binary64)) (*.f64 (pow.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) #s(literal -1/2 binary64)) (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))))
(/.f64 (+.f64 (neg.f64 (log.f64 (cosh.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f))))) (log.f64 (sinh.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f))))) (*.f64 (PI.f64) #s(literal 1/4 binary64)))
(/.f64 #s(literal 4 binary64) (/.f64 (PI.f64) (-.f64 (log1p.f64 (neg.f64 (exp.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (PI.f64) f))))) (log1p.f64 (exp.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (PI.f64) f)))))))
(/.f64 (-.f64 (log1p.f64 (neg.f64 (exp.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f)) #s(literal -2 binary64))))) (log1p.f64 (exp.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f)) #s(literal -2 binary64))))) (*.f64 (PI.f64) #s(literal 1/4 binary64)))
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (-.f64 (log.f64 (cosh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (log.f64 (sinh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))))))
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (-.f64 (log.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))) (log.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))))))
(-.f64 (/.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))))
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (sinh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))))))))
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/2 binary64))) (exp.f64 (neg.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/2 binary64)))))) (pow.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) #s(literal 2 binary64))))))
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (*.f64 (-.f64 (exp.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/2 binary64))) (exp.f64 (neg.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/2 binary64))))) (*.f64 (/.f64 #s(literal 1/2 binary64) (sinh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (/.f64 #s(literal 1/2 binary64) (sinh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))))))))
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))))))
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (*.f64 #s(literal 0 binary64) (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))))))))
(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 (PI.f64) #s(literal 1/4 binary64)) f))) (*.f64 (PI.f64) #s(literal 1/4 binary64)))
Calls

6 calls:

34.0ms
f
32.0ms
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))))))
17.0ms
(*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)
15.0ms
(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))))))
14.0ms
(*.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
98.3%1f
98.3%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))))))))
98.3%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)))))))
98.3%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))))))
98.3%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)))))
98.3%1(*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)
Compiler

Compiled 144 to 60 computations (58.3% saved)

regimes43.0ms (0.2%)

Memory
24.6MiB live, 102.0MiB allocated
Counts
26 → 1
Calls
Call 1
Inputs
(*.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (log.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) 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 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)))))
(neg.f64 (*.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (log.f64 (/.f64 (+.f64 #s(literal 0 binary64) (/.f64 #s(literal 4 binary64) (PI.f64))) f))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/4 binary64) (/.f64 (log.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f))) (PI.f64))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/4 binary64) (/.f64 (log.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))) (PI.f64))))
(neg.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/4 binary64) (/.f64 (neg.f64 (log.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f)))) (PI.f64)))))
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 #s(literal 2 binary64) (*.f64 f (*.f64 (PI.f64) #s(literal 1/2 binary64)))))))
(/.f64 (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 (*.f64 (*.f64 #s(literal 1/4 binary64) f) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)))) (*.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 (+.f64 #s(literal 0 binary64) (/.f64 #s(literal 4 binary64) (PI.f64))) f))))
(/.f64 (*.f64 (log.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f))) (neg.f64 (/.f64 #s(literal 16 binary64) (*.f64 (PI.f64) (PI.f64))))) (/.f64 #s(literal -4 binary64) (PI.f64)))
(/.f64 (*.f64 (neg.f64 (/.f64 #s(literal 16 binary64) (*.f64 (PI.f64) (PI.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 (log.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))) (sqrt.f64 (PI.f64))))
(neg.f64 (*.f64 (/.f64 (neg.f64 (log.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f)))) (sqrt.f64 (PI.f64))) (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64)))))
(*.f64 (*.f64 (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64)))) (log.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f))))
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 1/4 binary64) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)))) (log.f64 (/.f64 #s(literal 2 binary64) (*.f64 f (*.f64 (PI.f64) #s(literal 1/2 binary64)))))))
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 1/4 binary64) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)))) (log.f64 (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f))))
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 1/4 binary64) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)))) (log.f64 (/.f64 (+.f64 #s(literal 0 binary64) (/.f64 #s(literal 4 binary64) (PI.f64))) f))))
(neg.f64 (*.f64 (*.f64 (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64)))) (log.f64 (/.f64 #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 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) (*.f64 f #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 (fma.f64 (PI.f64) #s(literal 1/16 binary64) (fma.f64 (PI.f64) #s(literal -1/48 binary64) (*.f64 (PI.f64) #s(literal -1/48 binary64)))) (*.f64 #s(literal 4 binary64) (*.f64 f f)) (/.f64 #s(literal 4 binary64) (PI.f64))) f))))
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (fma.f64 f (*.f64 f (fma.f64 (*.f64 #s(literal 1/192 binary64) (*.f64 #s(literal 2 binary64) (+.f64 (PI.f64) (PI.f64)))) #s(literal -2 binary64) (*.f64 #s(literal 1/16 binary64) (+.f64 (PI.f64) (PI.f64))))) (/.f64 #s(literal 4 binary64) (PI.f64))) f))))
Outputs
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (fma.f64 (fma.f64 (PI.f64) #s(literal 1/16 binary64) (fma.f64 (PI.f64) #s(literal -1/48 binary64) (*.f64 (PI.f64) #s(literal -1/48 binary64)))) (*.f64 #s(literal 4 binary64) (*.f64 f f)) (/.f64 #s(literal 4 binary64) (PI.f64))) f))))
Calls

6 calls:

8.0ms
(*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)
7.0ms
f
7.0ms
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))))))
7.0ms
(/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))))
6.0ms
(log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (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
93.4%1f
93.4%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))))))))
93.4%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)))))))
93.4%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))))))
93.4%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)))))
93.4%1(*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)
Compiler

Compiled 144 to 60 computations (58.3% saved)

regimes46.0ms (0.2%)

Memory
-9.1MiB live, 74.0MiB allocated
Counts
24 → 1
Calls
Call 1
Inputs
(*.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (log.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) 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 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)))))
(neg.f64 (*.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (log.f64 (/.f64 (+.f64 #s(literal 0 binary64) (/.f64 #s(literal 4 binary64) (PI.f64))) f))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/4 binary64) (/.f64 (log.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f))) (PI.f64))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/4 binary64) (/.f64 (log.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))) (PI.f64))))
(neg.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/4 binary64) (/.f64 (neg.f64 (log.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f)))) (PI.f64)))))
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 #s(literal 2 binary64) (*.f64 f (*.f64 (PI.f64) #s(literal 1/2 binary64)))))))
(/.f64 (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 (*.f64 (*.f64 #s(literal 1/4 binary64) f) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)))) (*.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 (+.f64 #s(literal 0 binary64) (/.f64 #s(literal 4 binary64) (PI.f64))) f))))
(/.f64 (*.f64 (log.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f))) (neg.f64 (/.f64 #s(literal 16 binary64) (*.f64 (PI.f64) (PI.f64))))) (/.f64 #s(literal -4 binary64) (PI.f64)))
(/.f64 (*.f64 (neg.f64 (/.f64 #s(literal 16 binary64) (*.f64 (PI.f64) (PI.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 (log.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))) (sqrt.f64 (PI.f64))))
(neg.f64 (*.f64 (/.f64 (neg.f64 (log.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f)))) (sqrt.f64 (PI.f64))) (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64)))))
(*.f64 (*.f64 (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64)))) (log.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f))))
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 1/4 binary64) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)))) (log.f64 (/.f64 #s(literal 2 binary64) (*.f64 f (*.f64 (PI.f64) #s(literal 1/2 binary64)))))))
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 1/4 binary64) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)))) (log.f64 (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f))))
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 1/4 binary64) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)))) (log.f64 (/.f64 (+.f64 #s(literal 0 binary64) (/.f64 #s(literal 4 binary64) (PI.f64))) f))))
(neg.f64 (*.f64 (*.f64 (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64)))) (log.f64 (/.f64 #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 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) (*.f64 f #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)))
Outputs
(/.f64 (log.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) f) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)))) (*.f64 (PI.f64) #s(literal 1/4 binary64)))
Calls

6 calls:

12.0ms
(*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)
8.0ms
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))))))
7.0ms
f
6.0ms
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))))))
6.0ms
(/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (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
92.7%1f
92.7%1(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))))))
92.7%1(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))))))
92.7%1(log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))))
92.7%1(/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))))
92.7%1(*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)
Compiler

Compiled 144 to 60 computations (58.3% saved)

regimes23.0ms (0.1%)

Memory
13.9MiB live, 51.2MiB allocated
Counts
11 → 1
Calls
Call 1
Inputs
(*.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (log.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) 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 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)))))
(neg.f64 (*.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (log.f64 (/.f64 (+.f64 #s(literal 0 binary64) (/.f64 #s(literal 4 binary64) (PI.f64))) f))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/4 binary64) (/.f64 (log.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f))) (PI.f64))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/4 binary64) (/.f64 (log.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))) (PI.f64))))
(neg.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/4 binary64) (/.f64 (neg.f64 (log.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f)))) (PI.f64)))))
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 #s(literal 2 binary64) (*.f64 f (*.f64 (PI.f64) #s(literal 1/2 binary64)))))))
(/.f64 (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)))
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:

5.0ms
(log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))))
4.0ms
(*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)
4.0ms
f
3.0ms
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))))))
3.0ms
(/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (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
92.7%1f
92.7%1(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))))))
92.7%1(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))))))
92.7%1(log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))))
92.7%1(/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))))
92.7%1(*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)
Compiler

Compiled 144 to 60 computations (58.3% saved)

regimes8.0ms (0%)

Memory
-17.7MiB live, 21.8MiB allocated
Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

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

6 calls:

1.0ms
f
1.0ms
(*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)
1.0ms
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))))))
1.0ms
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))))))
1.0ms
(log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (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
92.7%1f
92.7%1(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))))))
92.7%1(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))))))
92.7%1(log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))))
92.7%1(/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))))
92.7%1(*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)
Compiler

Compiled 144 to 60 computations (58.3% saved)

simplify9.0ms (0%)

Memory
20.9MiB live, 20.9MiB allocated
Algorithm
1×egg-herbie
Rules
42×*-commutative_binary64
36×neg-mul-1_binary64
22×unsub-neg_binary64
16×distribute-rgt-neg-in_binary64
14×+-commutative_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
03973
16073
27373
38672
49872
512672
616472
716772
Stop Event
1×saturated
Calls
Call 1
Inputs
(/.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (*.f64 (PI.f64) #s(literal 1/4 binary64)))
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (fma.f64 (fma.f64 (PI.f64) #s(literal 1/16 binary64) (fma.f64 (PI.f64) #s(literal -1/48 binary64) (*.f64 (PI.f64) #s(literal -1/48 binary64)))) (*.f64 #s(literal 4 binary64) (*.f64 f f)) (/.f64 #s(literal 4 binary64) (PI.f64))) f))))
(/.f64 (log.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) f) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)))) (*.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 (/.f64 #s(literal 4 binary64) (PI.f64)) (log.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f))))
Outputs
(/.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (*.f64 (PI.f64) #s(literal 1/4 binary64)))
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (fma.f64 (fma.f64 (PI.f64) #s(literal 1/16 binary64) (fma.f64 (PI.f64) #s(literal -1/48 binary64) (*.f64 (PI.f64) #s(literal -1/48 binary64)))) (*.f64 #s(literal 4 binary64) (*.f64 f f)) (/.f64 #s(literal 4 binary64) (PI.f64))) f))))
(*.f64 (log.f64 (/.f64 (fma.f64 (fma.f64 (PI.f64) #s(literal 1/16 binary64) (fma.f64 (PI.f64) #s(literal -1/48 binary64) (*.f64 (PI.f64) #s(literal -1/48 binary64)))) (*.f64 #s(literal 4 binary64) (*.f64 f f)) (/.f64 #s(literal 4 binary64) (PI.f64))) f)) (/.f64 #s(literal -1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))))
(/.f64 (log.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) f) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)))) (*.f64 (PI.f64) #s(literal 1/4 binary64)))
(/.f64 (log.f64 (*.f64 (sqrt.f64 (PI.f64)) (*.f64 (*.f64 #s(literal 1/4 binary64) f) (sqrt.f64 (PI.f64))))) (*.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 (*.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 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f))))

soundness529.0ms (2.8%)

Memory
-11.8MiB live, 412.5MiB allocated
Rules
6 710×lower-fma.f64
6 710×lower-fma.f32
5 356×lower-*.f64
5 356×lower-*.f32
5 070×lower-*.f32
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
05138283
116727172
271376242
083975990
041192
075161
1274155
22320155
08528155
016154
029100
111952
278352
0856152
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
Compiler

Compiled 132 to 79 computations (40.2% saved)

preprocess63.0ms (0.3%)

Memory
20.3MiB live, 109.6MiB allocated
Compiler

Compiled 222 to 104 computations (53.2% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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