VandenBroeck and Keller, Equation (20)

Time bar (total: 16.4s)

analyze204.0ms (1.2%)

Memory
16.7MiB live, 253.6MiB 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)

sample5.7s (34.9%)

Memory
92.4MiB live, 5 863.2MiB allocated
Samples
2.3s7 580×1valid
1.9s7 036×1invalid
178.0ms179×2valid
55.0ms497×0valid
1.0ms8×0exit
1.0ms6×0invalid
Precisions
Click to see histograms. Total time spent on operations: 3.8s
ival-exp: 1.1s (28.8% of total)
ival-div: 621.0ms (16.4% of total)
adjust: 412.0ms (10.9% of total)
ival-mult: 399.0ms (10.6% of total)
ival-log: 393.0ms (10.4% of total)
ival-neg: 262.0ms (6.9% of total)
ival-pi: 260.0ms (6.9% of total)
ival-sub: 168.0ms (4.4% of total)
ival-add: 142.0ms (3.8% of total)
exact: 16.0ms (0.4% of total)
ival-true: 11.0ms (0.3% of total)
ival-assert: 6.0ms (0.2% of total)
Bogosity

preprocess528.0ms (3.2%)

Memory
-38.7MiB live, 400.6MiB 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)))

explain405.0ms (2.5%)

Memory
12.5MiB live, 609.2MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
2480-0-(-.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))))
30-0-(/.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)))))
13(11237.980707070092)0-(log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))))
00-0-(exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))
00-0-(exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))
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))))cancellation2480
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))))))sensitivity40
/.f64(/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (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/o30
↳(exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))overflow3
↳(+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))overflow3
↳(exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))overflow3
↳(-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))overflow3
Confusion
Predicted +Predicted -
+2520
-04
Precision
1.0
Recall
1.0
Confusion?
Predicted +Predicted MaybePredicted -
+25200
-004
Precision?
1.0
Recall?
1.0
Freqs
test
numberfreq
04
1249
23
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
182.0ms472×1valid
6.0ms6×2valid
4.0ms34×0valid
Compiler

Compiled 472 to 68 computations (85.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 144.0ms
ival-exp: 45.0ms (31.1% of total)
ival-sub: 25.0ms (17.3% of total)
ival-div: 18.0ms (12.5% of total)
ival-log: 12.0ms (8.3% of total)
adjust: 11.0ms (7.6% of total)
ival-mult: 11.0ms (7.6% of total)
ival-pi: 9.0ms (6.2% of total)
ival-neg: 8.0ms (5.5% of total)
ival-add: 4.0ms (2.8% of total)
exact: 1.0ms (0.7% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

eval0.0ms (0%)

Memory
0.3MiB live, 0.3MiB allocated
Compiler

Compiled 1 to 1 computations (0% saved)

prune1.0ms (0%)

Memory
1.6MiB live, 1.6MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶7.5%
(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)

simplify373.0ms (2.3%)

Memory
8.1MiB live, 395.3MiB 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)))))

localize110.0ms (0.7%)

Memory
-15.5MiB live, 197.0MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
✓accuracy99.6%
(*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)
✓accuracy99.4%
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))))))
✓accuracy98.5%
(/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))))
✓accuracy10.9%
(-.f64 (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
67.0ms236×1valid
3.0ms3×2valid
2.0ms17×0valid
Compiler

Compiled 198 to 18 computations (90.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 57.0ms
ival-exp: 16.0ms (28% of total)
ival-div: 9.0ms (15.7% of total)
ival-mult: 9.0ms (15.7% of total)
ival-log: 6.0ms (10.5% of total)
adjust: 5.0ms (8.7% of total)
ival-neg: 4.0ms (7% of total)
ival-add: 3.0ms (5.2% of total)
ival-pi: 2.0ms (3.5% of total)
ival-sub: 2.0ms (3.5% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series97.0ms (0.6%)

Memory
10.3MiB live, 123.9MiB allocated
Counts
4 → 48
Calls
Call 1
Inputs
#<alt (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))>
#<alt (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))))>
#<alt (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))))))>
#<alt (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)>
Outputs
#<alt (* f (- (* 1/4 (PI)) (* -1/4 (PI))))>
#<alt (* f (- (+ (* 1/4 (PI)) (* (pow f 2) (- (* 1/384 (pow (PI) 3)) (* -1/384 (pow (PI) 3))))) (* -1/4 (PI))))>
#<alt (* f (- (+ (* 1/4 (PI)) (* (pow f 2) (- (+ (* 1/384 (pow (PI) 3)) (* (pow f 2) (- (* 1/122880 (pow (PI) 5)) (* -1/122880 (pow (PI) 5))))) (* -1/384 (pow (PI) 3))))) (* -1/4 (PI))))>
#<alt (* f (- (+ (* 1/4 (PI)) (* (pow f 2) (- (+ (* 1/384 (pow (PI) 3)) (* (pow f 2) (- (+ (* 1/122880 (pow (PI) 5)) (* (pow f 2) (- (* 1/82575360 (pow (PI) 7)) (* -1/82575360 (pow (PI) 7))))) (* -1/122880 (pow (PI) 5))))) (* -1/384 (pow (PI) 3))))) (* -1/4 (PI))))>
#<alt (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI))))))>
#<alt (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI))))))>
#<alt (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI))))))>
#<alt (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI))))))>
#<alt (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI))))))>
#<alt (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI))))))>
#<alt (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI))))))>
#<alt (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI))))))>
#<alt (/ 2 (* f (- (* 1/4 (PI)) (* -1/4 (PI)))))>
#<alt (/ (+ (* f (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))))) (* 2 (/ 1 (- (* 1/4 (PI)) (* -1/4 (PI)))))) f)>
#<alt (/ (+ (* f (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (+ (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* f (- (* 1/16 (/ (pow (PI) 2) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 2 (/ (- (* 1/384 (pow (PI) 3)) (* -1/384 (pow (PI) 3))) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 2)))))))) (* 2 (/ 1 (- (* 1/4 (PI)) (* -1/4 (PI)))))) f)>
#<alt (/ (+ (* f (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (+ (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* f (- (+ (* 1/16 (/ (pow (PI) 2) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* f (- (+ (* -1/384 (/ (pow (PI) 3) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/384 (/ (pow (PI) 3) (- (* 1/4 (PI)) (* -1/4 (PI)))))) (/ (* (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI)))))) (- (* 1/384 (pow (PI) 3)) (* -1/384 (pow (PI) 3)))) (- (* 1/4 (PI)) (* -1/4 (PI))))))) (* 2 (/ (- (* 1/384 (pow (PI) 3)) (* -1/384 (pow (PI) 3))) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 2)))))))) (* 2 (/ 1 (- (* 1/4 (PI)) (* -1/4 (PI)))))) f)>
#<alt (/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI)))))))>
#<alt (/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI)))))))>
#<alt (/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI)))))))>
#<alt (/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI)))))))>
#<alt (/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI)))))))>
#<alt (/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI)))))))>
#<alt (/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI)))))))>
#<alt (/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI)))))))>
#<alt (* 4 (/ (+ (log (/ 2 (- (* 1/4 (PI)) (* -1/4 (PI))))) (* -1 (log f))) (PI)))>
#<alt (+ (* 2 (/ (* f (* (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI)))))) (- (* 1/4 (PI)) (* -1/4 (PI))))) (PI))) (* 4 (/ (+ (log (/ 2 (- (* 1/4 (PI)) (* -1/4 (PI))))) (* -1 (log f))) (PI))))>
#<alt (+ (* 4 (/ (+ (log (/ 2 (- (* 1/4 (PI)) (* -1/4 (PI))))) (* -1 (log f))) (PI))) (* f (+ (* 2 (/ (* f (+ (* -1/4 (* (pow (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI)))))) 2) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 2))) (* (- (* 1/16 (/ (pow (PI) 2) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 2 (/ (- (* 1/384 (pow (PI) 3)) (* -1/384 (pow (PI) 3))) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 2)))) (- (* 1/4 (PI)) (* -1/4 (PI)))))) (PI))) (* 2 (/ (* (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI)))))) (- (* 1/4 (PI)) (* -1/4 (PI)))) (PI))))))>
#<alt (+ (* 4 (/ (+ (log (/ 2 (- (* 1/4 (PI)) (* -1/4 (PI))))) (* -1 (log f))) (PI))) (* f (+ (* 2 (/ (* (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI)))))) (- (* 1/4 (PI)) (* -1/4 (PI)))) (PI))) (* f (+ (* 2/3 (/ (* f (+ (* -3/2 (* (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI)))))) (* (- (* 1/16 (/ (pow (PI) 2) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 2 (/ (- (* 1/384 (pow (PI) 3)) (* -1/384 (pow (PI) 3))) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 2)))) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 2)))) (+ (* 1/4 (* (pow (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI)))))) 3) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 3))) (* 3 (* (- (* 1/4 (PI)) (* -1/4 (PI))) (- (+ (* -1/384 (/ (pow (PI) 3) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/384 (/ (pow (PI) 3) (- (* 1/4 (PI)) (* -1/4 (PI)))))) (/ (* (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI)))))) (- (* 1/384 (pow (PI) 3)) (* -1/384 (pow (PI) 3)))) (- (* 1/4 (PI)) (* -1/4 (PI)))))))))) (PI))) (* 2 (/ (+ (* -1/4 (* (pow (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI)))))) 2) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 2))) (* (- (* 1/16 (/ (pow (PI) 2) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 2 (/ (- (* 1/384 (pow (PI) 3)) (* -1/384 (pow (PI) 3))) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 2)))) (- (* 1/4 (PI)) (* -1/4 (PI))))) (PI))))))))>
#<alt (* 4 (/ (log (/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI)))))))) (PI)))>
#<alt (* 4 (/ (log (/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI)))))))) (PI)))>
#<alt (* 4 (/ (log (/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI)))))))) (PI)))>
#<alt (* 4 (/ (log (/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI)))))))) (PI)))>
#<alt (* 4 (/ (log (/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI)))))))) (PI)))>
#<alt (* 4 (/ (log (/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI)))))))) (PI)))>
#<alt (* 4 (/ (log (/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI)))))))) (PI)))>
#<alt (* 4 (/ (log (/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI)))))))) (PI)))>
#<alt (* 1/4 (* f (PI)))>
#<alt (* 1/4 (* f (PI)))>
#<alt (* 1/4 (* f (PI)))>
#<alt (* 1/4 (* f (PI)))>
#<alt (* 1/4 (* f (PI)))>
#<alt (* 1/4 (* f (PI)))>
#<alt (* 1/4 (* f (PI)))>
#<alt (* 1/4 (* f (PI)))>
#<alt (* 1/4 (* f (PI)))>
#<alt (* 1/4 (* f (PI)))>
#<alt (* 1/4 (* f (PI)))>
#<alt (* 1/4 (* f (PI)))>
Calls

12 calls:

TimeVariablePointExpression
44.0ms
f
@-inf
(* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))
43.0ms
f
@inf
(* (/ 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
(* (/ 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))))
1.0ms
f
@0
(/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))

rewrite329.0ms (2%)

Memory
-4.2MiB live, 517.2MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
4 910×lower-*.f32
4 906×lower-*.f64
3 348×lower-/.f32
3 342×lower-/.f64
3 134×lower-fma.f64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01584
02754
111133
273432
0843732
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
4 → 429
Calls
Call 1
Inputs
(-.f64 (exp.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 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))))))
(*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)
Outputs
(+.f64 (exp.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)) (neg.f64 (exp.f64 (*.f64 (PI.f64) (*.f64 #s(literal -1/4 binary64) f)))))
(+.f64 (exp.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)) (*.f64 (neg.f64 (exp.f64 (*.f64 (PI.f64) (*.f64 #s(literal -1/4 binary64) f)))) #s(literal 1 binary64)))
(+.f64 (neg.f64 (exp.f64 (*.f64 (PI.f64) (*.f64 #s(literal -1/4 binary64) f)))) (exp.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))
(+.f64 (neg.f64 (exp.f64 (*.f64 (PI.f64) (*.f64 #s(literal -1/4 binary64) f)))) (*.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))))
(+.f64 (/.f64 (exp.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 3/4 binary64))) (+.f64 #s(literal 1 binary64) (+.f64 (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)))))) (neg.f64 (/.f64 (exp.f64 (neg.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 3/4 binary64)))) (+.f64 #s(literal 1 binary64) (+.f64 (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 (exp.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/2 binary64))) (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))) (neg.f64 (/.f64 (exp.f64 (neg.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/2 binary64)))) (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))))))
(+.f64 (neg.f64 (neg.f64 (exp.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))) (neg.f64 (exp.f64 (*.f64 (PI.f64) (*.f64 #s(literal -1/4 binary64) f)))))
(+.f64 (*.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 (exp.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 3/4 binary64))) (exp.f64 (neg.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 3/4 binary64)))))) (exp.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/2 binary64)))) (*.f64 (/.f64 (-.f64 (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 3/4 binary64))) (exp.f64 (neg.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 3/4 binary64)))))) (expm1.f64 (neg.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/2 binary64))))))
(+.f64 (*.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 (exp.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 3/4 binary64))) (exp.f64 (neg.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 3/4 binary64)))))) (expm1.f64 (neg.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/2 binary64))))) (*.f64 (/.f64 (-.f64 (exp.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/2 binary64))) (exp.f64 (neg.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/2 binary64))))) (+.f64 (exp.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 3/4 binary64))) (exp.f64 (neg.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 3/4 binary64)))))) (exp.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/2 binary64)))))
(+.f64 (*.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (neg.f64 (exp.f64 (*.f64 (PI.f64) (*.f64 #s(literal -1/4 binary64) f)))))
(+.f64 (*.f64 (exp.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/2 binary64))) (/.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 (exp.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 3/4 binary64))) (exp.f64 (neg.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 3/4 binary64))))))) (*.f64 (expm1.f64 (neg.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/2 binary64)))) (/.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 (exp.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 3/4 binary64))) (exp.f64 (neg.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 3/4 binary64))))))))
(+.f64 (*.f64 (expm1.f64 (neg.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/2 binary64)))) (/.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 (exp.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 3/4 binary64))) (exp.f64 (neg.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 3/4 binary64))))))) (*.f64 (exp.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/2 binary64))) (/.f64 (-.f64 (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 3/4 binary64))) (exp.f64 (neg.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 3/4 binary64))))))))
(+.f64 (*.f64 (neg.f64 (exp.f64 (*.f64 (PI.f64) (*.f64 #s(literal -1/4 binary64) f)))) #s(literal 1 binary64)) (exp.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))
(-.f64 (exp.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)) (exp.f64 (*.f64 (PI.f64) (*.f64 #s(literal -1/4 binary64) f))))
(-.f64 (exp.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)) (/.f64 (exp.f64 (*.f64 (PI.f64) (*.f64 #s(literal -1/4 binary64) f))) #s(literal 1 binary64)))
(-.f64 #s(literal 0 binary64) (*.f64 (sinh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)) #s(literal -2 binary64)))
(-.f64 (/.f64 (exp.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 3/4 binary64))) (+.f64 #s(literal 1 binary64) (+.f64 (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 (exp.f64 (neg.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 3/4 binary64)))) (+.f64 #s(literal 1 binary64) (+.f64 (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)))))))
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(*.f64 #s(literal 1 binary64) (/.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (*.f64 (PI.f64) #s(literal -1/4 binary64))))
(*.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (neg.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))))
(*.f64 (neg.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))) (/.f64 #s(literal 4 binary64) (PI.f64)))
(*.f64 (/.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (*.f64 (PI.f64) #s(literal -1/4 binary64))) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal -4 binary64) (PI.f64)) (neg.f64 (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 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 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (/.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)))) #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 (neg.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))) #s(literal -1/4 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) (PI.f64)) (*.f64 #s(literal -4 binary64) (neg.f64 (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)))) (pow.f64 (PI.f64) #s(literal 2/3 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 (cbrt.f64 (PI.f64)) #s(literal 1/4 binary64))))
(*.f64 (/.f64 (neg.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))) (sqrt.f64 (PI.f64))) (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64))))
(*.f64 (/.f64 (neg.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))) #s(literal -1 binary64)) (/.f64 #s(literal -4 binary64) (PI.f64)))
(*.f64 (*.f64 (neg.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))) (pow.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) #s(literal -1/2 binary64))) (pow.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) #s(literal -1/2 binary64)))
(log.f64 (exp.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))
(+.f64 #s(literal 0 binary64) (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))
(+.f64 (log.f64 (exp.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) (*.f64 f #s(literal 1/2 binary64))))) (log.f64 (exp.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) (*.f64 f #s(literal 1/2 binary64))))))
(neg.f64 (*.f64 (PI.f64) (*.f64 #s(literal -1/4 binary64) f)))
(/.f64 f (/.f64 #s(literal 4 binary64) (PI.f64)))
(/.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f) #s(literal 1 binary64))
(/.f64 (*.f64 (PI.f64) (*.f64 #s(literal -1/4 binary64) f)) #s(literal -1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) (*.f64 (PI.f64) f)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 4 binary64) (*.f64 (PI.f64) f)) #s(literal 1 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 4 binary64) (*.f64 (PI.f64) f))))
(/.f64 (neg.f64 f) (/.f64 #s(literal -4 binary64) (PI.f64)))
(/.f64 (*.f64 (PI.f64) f) #s(literal 4 binary64))
(/.f64 (*.f64 f (neg.f64 (PI.f64))) #s(literal -4 binary64))
(/.f64 (neg.f64 (*.f64 (*.f64 (*.f64 (PI.f64) f) (*.f64 (PI.f64) f)) #s(literal 1/16 binary64))) (*.f64 (PI.f64) (*.f64 #s(literal -1/4 binary64) f)))
(/.f64 (neg.f64 (*.f64 f (neg.f64 (PI.f64)))) #s(literal 4 binary64))
(/.f64 (*.f64 f #s(literal -1 binary64)) (/.f64 #s(literal -4 binary64) (PI.f64)))
(/.f64 (+.f64 #s(literal 0 binary64) (*.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f) (*.f64 (*.f64 (*.f64 (PI.f64) f) (*.f64 (PI.f64) f)) #s(literal 1/16 binary64)))) (+.f64 #s(literal 0 binary64) (-.f64 (*.f64 (*.f64 (*.f64 (PI.f64) f) (*.f64 (PI.f64) f)) #s(literal 1/16 binary64)) #s(literal 0 binary64))))
(pow.f64 (/.f64 #s(literal 4 binary64) (*.f64 (PI.f64) f)) #s(literal -1 binary64))
(*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))
(*.f64 (PI.f64) (*.f64 f #s(literal 1/4 binary64)))
(*.f64 (PI.f64) (*.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) f)))
(*.f64 (PI.f64) (*.f64 #s(literal 1 binary64) (*.f64 f #s(literal 1/4 binary64))))
(*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)
(*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) (log.f64 (exp.f64 f)))
(*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) (/.f64 f #s(literal 1 binary64)))
(*.f64 f (*.f64 (PI.f64) #s(literal 1/4 binary64)))
(*.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))
(*.f64 #s(literal -1 binary64) (*.f64 (PI.f64) (*.f64 #s(literal -1/4 binary64) f)))
(*.f64 (cbrt.f64 (PI.f64)) (*.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (*.f64 #s(literal 1/4 binary64) f)))
(*.f64 (cbrt.f64 (PI.f64)) (*.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (*.f64 f #s(literal 1/4 binary64))))
(*.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (*.f64 (cbrt.f64 (PI.f64)) (*.f64 #s(literal 1/4 binary64) f)))
(*.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (*.f64 (cbrt.f64 (PI.f64)) (*.f64 f #s(literal 1/4 binary64))))
(*.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (*.f64 (*.f64 (cbrt.f64 (PI.f64)) #s(literal 1/4 binary64)) f))
(*.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (*.f64 (*.f64 (cbrt.f64 (PI.f64)) f) #s(literal 1/4 binary64)))
(*.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) (*.f64 #s(literal 1/4 binary64) f)))
(*.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) (*.f64 f #s(literal 1/4 binary64))))
(*.f64 (sqrt.f64 (PI.f64)) (*.f64 (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/4 binary64)) f))
(*.f64 (sqrt.f64 (PI.f64)) (*.f64 (*.f64 (sqrt.f64 (PI.f64)) f) #s(literal 1/4 binary64)))
(*.f64 (neg.f64 (PI.f64)) (*.f64 #s(literal -1/4 binary64) f))
(*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f))
(*.f64 #s(literal 1/4 binary64) (/.f64 f (/.f64 #s(literal 1 binary64) (PI.f64))))
(*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64))
(*.f64 (*.f64 f (neg.f64 (PI.f64))) #s(literal -1/4 binary64))
(*.f64 (*.f64 f #s(literal 1/4 binary64)) (PI.f64))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) #s(literal -1/2 binary64))) (/.f64 f (pow.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) #s(literal -1/2 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (PI.f64))) (/.f64 f #s(literal -4 binary64)))
(*.f64 (/.f64 f #s(literal 1 binary64)) (*.f64 (PI.f64) #s(literal 1/4 binary64)))
(*.f64 (/.f64 f #s(literal -1 binary64)) (*.f64 (PI.f64) #s(literal -1/4 binary64)))
(*.f64 (/.f64 f (/.f64 #s(literal 1 binary64) (PI.f64))) #s(literal 1/4 binary64))
(*.f64 (/.f64 f (pow.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) #s(literal -1/2 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) #s(literal -1/2 binary64))))
(*.f64 (/.f64 f (/.f64 #s(literal -1 binary64) (PI.f64))) #s(literal -1/4 binary64))
(*.f64 (*.f64 f (pow.f64 (PI.f64) #s(literal 2/3 binary64))) (*.f64 (cbrt.f64 (PI.f64)) #s(literal 1/4 binary64)))
(*.f64 (*.f64 f (sqrt.f64 (PI.f64))) (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/4 binary64)))

simplify467.0ms (2.9%)

Memory
3.7MiB live, 715.5MiB allocated
Algorithm
1×egg-herbie
Rules
18 420×lower-fma.f64
18 420×lower-fma.f32
3 480×lower-*.f64
3 480×lower-*.f32
2 096×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01541038
1432956
21551880
36248852
08249838
Stop Event
1×iter limit
1×node limit
Counts
48 → 48
Calls
Call 1
Inputs
(* f (- (* 1/4 (PI)) (* -1/4 (PI))))
(* f (- (+ (* 1/4 (PI)) (* (pow f 2) (- (* 1/384 (pow (PI) 3)) (* -1/384 (pow (PI) 3))))) (* -1/4 (PI))))
(* f (- (+ (* 1/4 (PI)) (* (pow f 2) (- (+ (* 1/384 (pow (PI) 3)) (* (pow f 2) (- (* 1/122880 (pow (PI) 5)) (* -1/122880 (pow (PI) 5))))) (* -1/384 (pow (PI) 3))))) (* -1/4 (PI))))
(* f (- (+ (* 1/4 (PI)) (* (pow f 2) (- (+ (* 1/384 (pow (PI) 3)) (* (pow f 2) (- (+ (* 1/122880 (pow (PI) 5)) (* (pow f 2) (- (* 1/82575360 (pow (PI) 7)) (* -1/82575360 (pow (PI) 7))))) (* -1/122880 (pow (PI) 5))))) (* -1/384 (pow (PI) 3))))) (* -1/4 (PI))))
(- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI))))))
(- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI))))))
(- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI))))))
(- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI))))))
(- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI))))))
(- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI))))))
(- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI))))))
(- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI))))))
(/ 2 (* f (- (* 1/4 (PI)) (* -1/4 (PI)))))
(/ (+ (* f (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))))) (* 2 (/ 1 (- (* 1/4 (PI)) (* -1/4 (PI)))))) f)
(/ (+ (* f (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (+ (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* f (- (* 1/16 (/ (pow (PI) 2) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 2 (/ (- (* 1/384 (pow (PI) 3)) (* -1/384 (pow (PI) 3))) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 2)))))))) (* 2 (/ 1 (- (* 1/4 (PI)) (* -1/4 (PI)))))) f)
(/ (+ (* f (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (+ (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* f (- (+ (* 1/16 (/ (pow (PI) 2) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* f (- (+ (* -1/384 (/ (pow (PI) 3) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/384 (/ (pow (PI) 3) (- (* 1/4 (PI)) (* -1/4 (PI)))))) (/ (* (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI)))))) (- (* 1/384 (pow (PI) 3)) (* -1/384 (pow (PI) 3)))) (- (* 1/4 (PI)) (* -1/4 (PI))))))) (* 2 (/ (- (* 1/384 (pow (PI) 3)) (* -1/384 (pow (PI) 3))) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 2)))))))) (* 2 (/ 1 (- (* 1/4 (PI)) (* -1/4 (PI)))))) f)
(/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI)))))))
(/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI)))))))
(/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI)))))))
(/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI)))))))
(/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI)))))))
(/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI)))))))
(/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI)))))))
(/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI)))))))
(* 4 (/ (+ (log (/ 2 (- (* 1/4 (PI)) (* -1/4 (PI))))) (* -1 (log f))) (PI)))
(+ (* 2 (/ (* f (* (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI)))))) (- (* 1/4 (PI)) (* -1/4 (PI))))) (PI))) (* 4 (/ (+ (log (/ 2 (- (* 1/4 (PI)) (* -1/4 (PI))))) (* -1 (log f))) (PI))))
(+ (* 4 (/ (+ (log (/ 2 (- (* 1/4 (PI)) (* -1/4 (PI))))) (* -1 (log f))) (PI))) (* f (+ (* 2 (/ (* f (+ (* -1/4 (* (pow (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI)))))) 2) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 2))) (* (- (* 1/16 (/ (pow (PI) 2) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 2 (/ (- (* 1/384 (pow (PI) 3)) (* -1/384 (pow (PI) 3))) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 2)))) (- (* 1/4 (PI)) (* -1/4 (PI)))))) (PI))) (* 2 (/ (* (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI)))))) (- (* 1/4 (PI)) (* -1/4 (PI)))) (PI))))))
(+ (* 4 (/ (+ (log (/ 2 (- (* 1/4 (PI)) (* -1/4 (PI))))) (* -1 (log f))) (PI))) (* f (+ (* 2 (/ (* (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI)))))) (- (* 1/4 (PI)) (* -1/4 (PI)))) (PI))) (* f (+ (* 2/3 (/ (* f (+ (* -3/2 (* (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI)))))) (* (- (* 1/16 (/ (pow (PI) 2) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 2 (/ (- (* 1/384 (pow (PI) 3)) (* -1/384 (pow (PI) 3))) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 2)))) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 2)))) (+ (* 1/4 (* (pow (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI)))))) 3) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 3))) (* 3 (* (- (* 1/4 (PI)) (* -1/4 (PI))) (- (+ (* -1/384 (/ (pow (PI) 3) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/384 (/ (pow (PI) 3) (- (* 1/4 (PI)) (* -1/4 (PI)))))) (/ (* (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI)))))) (- (* 1/384 (pow (PI) 3)) (* -1/384 (pow (PI) 3)))) (- (* 1/4 (PI)) (* -1/4 (PI)))))))))) (PI))) (* 2 (/ (+ (* -1/4 (* (pow (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI)))))) 2) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 2))) (* (- (* 1/16 (/ (pow (PI) 2) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 2 (/ (- (* 1/384 (pow (PI) 3)) (* -1/384 (pow (PI) 3))) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 2)))) (- (* 1/4 (PI)) (* -1/4 (PI))))) (PI))))))))
(* 4 (/ (log (/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI)))))))) (PI)))
(* 4 (/ (log (/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI)))))))) (PI)))
(* 4 (/ (log (/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI)))))))) (PI)))
(* 4 (/ (log (/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI)))))))) (PI)))
(* 4 (/ (log (/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI)))))))) (PI)))
(* 4 (/ (log (/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI)))))))) (PI)))
(* 4 (/ (log (/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI)))))))) (PI)))
(* 4 (/ (log (/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI)))))))) (PI)))
(* 1/4 (* f (PI)))
(* 1/4 (* f (PI)))
(* 1/4 (* f (PI)))
(* 1/4 (* f (PI)))
(* 1/4 (* f (PI)))
(* 1/4 (* f (PI)))
(* 1/4 (* f (PI)))
(* 1/4 (* f (PI)))
(* 1/4 (* f (PI)))
(* 1/4 (* f (PI)))
(* 1/4 (* f (PI)))
(* 1/4 (* f (PI)))
Outputs
(* f (- (* 1/4 (PI)) (* -1/4 (PI))))
(*.f64 f (*.f64 (PI.f64) #s(literal 1/2 binary64)))
(* f (- (+ (* 1/4 (PI)) (* (pow f 2) (- (* 1/384 (pow (PI) 3)) (* -1/384 (pow (PI) 3))))) (* -1/4 (PI))))
(*.f64 f (fma.f64 f (*.f64 f (*.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/192 binary64)))) (*.f64 (PI.f64) #s(literal 1/2 binary64))))
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(/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI)))))))
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(/ (+ (exp (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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(* 4 (/ (+ (log (/ 2 (- (* 1/4 (PI)) (* -1/4 (PI))))) (* -1 (log f))) (PI)))
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(* 4 (/ (log (/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI)))))))) (PI)))
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(* 4 (/ (log (/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI)))))))) (PI)))
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(* 4 (/ (log (/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI)))))))) (PI)))
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(* 4 (/ (log (/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI)))))))) (PI)))
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(* 1/4 (* f (PI)))
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(*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))
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(*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))
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(*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))
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(*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))
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(*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))
(* 1/4 (* f (PI)))
(*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))
(* 1/4 (* f (PI)))
(*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))
(* 1/4 (* f (PI)))
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(* 1/4 (* f (PI)))
(*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))

simplify116.0ms (0.7%)

Memory
34.2MiB live, 191.8MiB allocated
Algorithm
1×egg-herbie
Rules
2×1-exp
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0101313901
1101413901
0101413901
Stop Event
1×saturated
1×saturated
Counts
429 → 0
Calls
Call 1
Inputs
(+.f64 (exp.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)) (neg.f64 (exp.f64 (*.f64 (PI.f64) (*.f64 #s(literal -1/4 binary64) f)))))
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(/.f64 (*.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (-.f64 (pow.f64 (log.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))) #s(literal 3 binary64)) (pow.f64 (log.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))) #s(literal 3 binary64)))) (+.f64 (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))))))))
(/.f64 (*.f64 (/.f64 #s(literal 4 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)))))) (neg.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))))) (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)))))))
(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 (/.f64 #s(literal -4 binary64) (PI.f64)) (neg.f64 (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 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 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (/.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)))) #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 (neg.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))) #s(literal -1/4 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) (PI.f64)) (*.f64 #s(literal -4 binary64) (neg.f64 (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)))) (pow.f64 (PI.f64) #s(literal 2/3 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 (cbrt.f64 (PI.f64)) #s(literal 1/4 binary64))))
(*.f64 (/.f64 (neg.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))) (sqrt.f64 (PI.f64))) (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64))))
(*.f64 (/.f64 (neg.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))) #s(literal -1 binary64)) (/.f64 #s(literal -4 binary64) (PI.f64)))
(*.f64 (*.f64 (neg.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))) (pow.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) #s(literal -1/2 binary64))) (pow.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) #s(literal -1/2 binary64)))
(log.f64 (exp.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))
(+.f64 #s(literal 0 binary64) (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))
(+.f64 (log.f64 (exp.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) (*.f64 f #s(literal 1/2 binary64))))) (log.f64 (exp.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) (*.f64 f #s(literal 1/2 binary64))))))
(neg.f64 (*.f64 (PI.f64) (*.f64 #s(literal -1/4 binary64) f)))
(/.f64 f (/.f64 #s(literal 4 binary64) (PI.f64)))
(/.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f) #s(literal 1 binary64))
(/.f64 (*.f64 (PI.f64) (*.f64 #s(literal -1/4 binary64) f)) #s(literal -1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) (*.f64 (PI.f64) f)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 4 binary64) (*.f64 (PI.f64) f)) #s(literal 1 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 4 binary64) (*.f64 (PI.f64) f))))
(/.f64 (neg.f64 f) (/.f64 #s(literal -4 binary64) (PI.f64)))
(/.f64 (*.f64 (PI.f64) f) #s(literal 4 binary64))
(/.f64 (*.f64 f (neg.f64 (PI.f64))) #s(literal -4 binary64))
(/.f64 (neg.f64 (*.f64 (*.f64 (*.f64 (PI.f64) f) (*.f64 (PI.f64) f)) #s(literal 1/16 binary64))) (*.f64 (PI.f64) (*.f64 #s(literal -1/4 binary64) f)))
(/.f64 (neg.f64 (*.f64 f (neg.f64 (PI.f64)))) #s(literal 4 binary64))
(/.f64 (*.f64 f #s(literal -1 binary64)) (/.f64 #s(literal -4 binary64) (PI.f64)))
(/.f64 (+.f64 #s(literal 0 binary64) (*.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f) (*.f64 (*.f64 (*.f64 (PI.f64) f) (*.f64 (PI.f64) f)) #s(literal 1/16 binary64)))) (+.f64 #s(literal 0 binary64) (-.f64 (*.f64 (*.f64 (*.f64 (PI.f64) f) (*.f64 (PI.f64) f)) #s(literal 1/16 binary64)) #s(literal 0 binary64))))
(pow.f64 (/.f64 #s(literal 4 binary64) (*.f64 (PI.f64) f)) #s(literal -1 binary64))
(*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))
(*.f64 (PI.f64) (*.f64 f #s(literal 1/4 binary64)))
(*.f64 (PI.f64) (*.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) f)))
(*.f64 (PI.f64) (*.f64 #s(literal 1 binary64) (*.f64 f #s(literal 1/4 binary64))))
(*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)
(*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) (log.f64 (exp.f64 f)))
(*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) (/.f64 f #s(literal 1 binary64)))
(*.f64 f (*.f64 (PI.f64) #s(literal 1/4 binary64)))
(*.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))
(*.f64 #s(literal -1 binary64) (*.f64 (PI.f64) (*.f64 #s(literal -1/4 binary64) f)))
(*.f64 (cbrt.f64 (PI.f64)) (*.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (*.f64 #s(literal 1/4 binary64) f)))
(*.f64 (cbrt.f64 (PI.f64)) (*.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (*.f64 f #s(literal 1/4 binary64))))
(*.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (*.f64 (cbrt.f64 (PI.f64)) (*.f64 #s(literal 1/4 binary64) f)))
(*.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (*.f64 (cbrt.f64 (PI.f64)) (*.f64 f #s(literal 1/4 binary64))))
(*.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (*.f64 (*.f64 (cbrt.f64 (PI.f64)) #s(literal 1/4 binary64)) f))
(*.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (*.f64 (*.f64 (cbrt.f64 (PI.f64)) f) #s(literal 1/4 binary64)))
(*.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) (*.f64 #s(literal 1/4 binary64) f)))
(*.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) (*.f64 f #s(literal 1/4 binary64))))
(*.f64 (sqrt.f64 (PI.f64)) (*.f64 (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/4 binary64)) f))
(*.f64 (sqrt.f64 (PI.f64)) (*.f64 (*.f64 (sqrt.f64 (PI.f64)) f) #s(literal 1/4 binary64)))
(*.f64 (neg.f64 (PI.f64)) (*.f64 #s(literal -1/4 binary64) f))
(*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f))
(*.f64 #s(literal 1/4 binary64) (/.f64 f (/.f64 #s(literal 1 binary64) (PI.f64))))
(*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64))
(*.f64 (*.f64 f (neg.f64 (PI.f64))) #s(literal -1/4 binary64))
(*.f64 (*.f64 f #s(literal 1/4 binary64)) (PI.f64))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) #s(literal -1/2 binary64))) (/.f64 f (pow.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) #s(literal -1/2 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (PI.f64))) (/.f64 f #s(literal -4 binary64)))
(*.f64 (/.f64 f #s(literal 1 binary64)) (*.f64 (PI.f64) #s(literal 1/4 binary64)))
(*.f64 (/.f64 f #s(literal -1 binary64)) (*.f64 (PI.f64) #s(literal -1/4 binary64)))
(*.f64 (/.f64 f (/.f64 #s(literal 1 binary64) (PI.f64))) #s(literal 1/4 binary64))
(*.f64 (/.f64 f (pow.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) #s(literal -1/2 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) #s(literal -1/2 binary64))))
(*.f64 (/.f64 f (/.f64 #s(literal -1 binary64) (PI.f64))) #s(literal -1/4 binary64))
(*.f64 (*.f64 f (pow.f64 (PI.f64) #s(literal 2/3 binary64))) (*.f64 (cbrt.f64 (PI.f64)) #s(literal 1/4 binary64)))
(*.f64 (*.f64 f (sqrt.f64 (PI.f64))) (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/4 binary64)))
Outputs
(+.f64 (exp.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)) (neg.f64 (exp.f64 (*.f64 (PI.f64) (*.f64 #s(literal -1/4 binary64) f)))))
(+.f64 (exp.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)) (*.f64 (neg.f64 (exp.f64 (*.f64 (PI.f64) (*.f64 #s(literal -1/4 binary64) f)))) #s(literal 1 binary64)))
(+.f64 (neg.f64 (exp.f64 (*.f64 (PI.f64) (*.f64 #s(literal -1/4 binary64) f)))) (exp.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))
(+.f64 (neg.f64 (exp.f64 (*.f64 (PI.f64) (*.f64 #s(literal -1/4 binary64) f)))) (*.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))))
(+.f64 (/.f64 (exp.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 3/4 binary64))) (+.f64 #s(literal 1 binary64) (+.f64 (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)))))) (neg.f64 (/.f64 (exp.f64 (neg.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 3/4 binary64)))) (+.f64 #s(literal 1 binary64) (+.f64 (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 (exp.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/2 binary64))) (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))) (neg.f64 (/.f64 (exp.f64 (neg.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/2 binary64)))) (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))))))
(+.f64 (neg.f64 (neg.f64 (exp.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))) (neg.f64 (exp.f64 (*.f64 (PI.f64) (*.f64 #s(literal -1/4 binary64) f)))))
(+.f64 (*.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 (exp.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 3/4 binary64))) (exp.f64 (neg.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 3/4 binary64)))))) (exp.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/2 binary64)))) (*.f64 (/.f64 (-.f64 (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 3/4 binary64))) (exp.f64 (neg.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 3/4 binary64)))))) (expm1.f64 (neg.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/2 binary64))))))
(+.f64 (*.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 (exp.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 3/4 binary64))) (exp.f64 (neg.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 3/4 binary64)))))) (expm1.f64 (neg.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/2 binary64))))) (*.f64 (/.f64 (-.f64 (exp.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/2 binary64))) (exp.f64 (neg.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/2 binary64))))) (+.f64 (exp.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 3/4 binary64))) (exp.f64 (neg.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 3/4 binary64)))))) (exp.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/2 binary64)))))
(+.f64 (*.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (neg.f64 (exp.f64 (*.f64 (PI.f64) (*.f64 #s(literal -1/4 binary64) f)))))
(+.f64 (*.f64 (exp.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/2 binary64))) (/.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 (exp.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 3/4 binary64))) (exp.f64 (neg.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 3/4 binary64))))))) (*.f64 (expm1.f64 (neg.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/2 binary64)))) (/.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 (exp.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 3/4 binary64))) (exp.f64 (neg.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 3/4 binary64))))))))
(+.f64 (*.f64 (expm1.f64 (neg.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/2 binary64)))) (/.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 (exp.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 3/4 binary64))) (exp.f64 (neg.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 3/4 binary64))))))) (*.f64 (exp.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/2 binary64))) (/.f64 (-.f64 (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 3/4 binary64))) (exp.f64 (neg.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 3/4 binary64))))))))
(+.f64 (*.f64 (neg.f64 (exp.f64 (*.f64 (PI.f64) (*.f64 #s(literal -1/4 binary64) f)))) #s(literal 1 binary64)) (exp.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))
(-.f64 (exp.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)) (exp.f64 (*.f64 (PI.f64) (*.f64 #s(literal -1/4 binary64) f))))
(-.f64 (exp.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)) (/.f64 (exp.f64 (*.f64 (PI.f64) (*.f64 #s(literal -1/4 binary64) f))) #s(literal 1 binary64)))
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(*.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 (/.f64 #s(literal -4 binary64) (PI.f64)) (neg.f64 (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 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 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (/.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)))) #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 (neg.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))) #s(literal -1/4 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) (PI.f64)) (*.f64 #s(literal -4 binary64) (neg.f64 (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)))) (pow.f64 (PI.f64) #s(literal 2/3 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 (cbrt.f64 (PI.f64)) #s(literal 1/4 binary64))))
(*.f64 (/.f64 (neg.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))) (sqrt.f64 (PI.f64))) (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64))))
(*.f64 (/.f64 (neg.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))) #s(literal -1 binary64)) (/.f64 #s(literal -4 binary64) (PI.f64)))
(*.f64 (*.f64 (neg.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))) (pow.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) #s(literal -1/2 binary64))) (pow.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) #s(literal -1/2 binary64)))
(log.f64 (exp.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))
(+.f64 #s(literal 0 binary64) (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))
(+.f64 (log.f64 (exp.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) (*.f64 f #s(literal 1/2 binary64))))) (log.f64 (exp.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) (*.f64 f #s(literal 1/2 binary64))))))
(neg.f64 (*.f64 (PI.f64) (*.f64 #s(literal -1/4 binary64) f)))
(/.f64 f (/.f64 #s(literal 4 binary64) (PI.f64)))
(/.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f) #s(literal 1 binary64))
(/.f64 (*.f64 (PI.f64) (*.f64 #s(literal -1/4 binary64) f)) #s(literal -1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) (*.f64 (PI.f64) f)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 4 binary64) (*.f64 (PI.f64) f)) #s(literal 1 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 4 binary64) (*.f64 (PI.f64) f))))
(/.f64 (neg.f64 f) (/.f64 #s(literal -4 binary64) (PI.f64)))
(/.f64 (*.f64 (PI.f64) f) #s(literal 4 binary64))
(/.f64 (*.f64 f (neg.f64 (PI.f64))) #s(literal -4 binary64))
(/.f64 (neg.f64 (*.f64 (*.f64 (*.f64 (PI.f64) f) (*.f64 (PI.f64) f)) #s(literal 1/16 binary64))) (*.f64 (PI.f64) (*.f64 #s(literal -1/4 binary64) f)))
(/.f64 (neg.f64 (*.f64 f (neg.f64 (PI.f64)))) #s(literal 4 binary64))
(/.f64 (*.f64 f #s(literal -1 binary64)) (/.f64 #s(literal -4 binary64) (PI.f64)))
(/.f64 (+.f64 #s(literal 0 binary64) (*.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f) (*.f64 (*.f64 (*.f64 (PI.f64) f) (*.f64 (PI.f64) f)) #s(literal 1/16 binary64)))) (+.f64 #s(literal 0 binary64) (-.f64 (*.f64 (*.f64 (*.f64 (PI.f64) f) (*.f64 (PI.f64) f)) #s(literal 1/16 binary64)) #s(literal 0 binary64))))
(pow.f64 (/.f64 #s(literal 4 binary64) (*.f64 (PI.f64) f)) #s(literal -1 binary64))
(*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))
(*.f64 (PI.f64) (*.f64 f #s(literal 1/4 binary64)))
(*.f64 (PI.f64) (*.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) f)))
(*.f64 (PI.f64) (*.f64 #s(literal 1 binary64) (*.f64 f #s(literal 1/4 binary64))))
(*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)
(*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) (log.f64 (exp.f64 f)))
(*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) (/.f64 f #s(literal 1 binary64)))
(*.f64 f (*.f64 (PI.f64) #s(literal 1/4 binary64)))
(*.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))
(*.f64 #s(literal -1 binary64) (*.f64 (PI.f64) (*.f64 #s(literal -1/4 binary64) f)))
(*.f64 (cbrt.f64 (PI.f64)) (*.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (*.f64 #s(literal 1/4 binary64) f)))
(*.f64 (cbrt.f64 (PI.f64)) (*.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (*.f64 f #s(literal 1/4 binary64))))
(*.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (*.f64 (cbrt.f64 (PI.f64)) (*.f64 #s(literal 1/4 binary64) f)))
(*.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (*.f64 (cbrt.f64 (PI.f64)) (*.f64 f #s(literal 1/4 binary64))))
(*.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (*.f64 (*.f64 (cbrt.f64 (PI.f64)) #s(literal 1/4 binary64)) f))
(*.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (*.f64 (*.f64 (cbrt.f64 (PI.f64)) f) #s(literal 1/4 binary64)))
(*.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) (*.f64 #s(literal 1/4 binary64) f)))
(*.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) (*.f64 f #s(literal 1/4 binary64))))
(*.f64 (sqrt.f64 (PI.f64)) (*.f64 (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/4 binary64)) f))
(*.f64 (sqrt.f64 (PI.f64)) (*.f64 (*.f64 (sqrt.f64 (PI.f64)) f) #s(literal 1/4 binary64)))
(*.f64 (neg.f64 (PI.f64)) (*.f64 #s(literal -1/4 binary64) f))
(*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f))
(*.f64 #s(literal 1/4 binary64) (/.f64 f (/.f64 #s(literal 1 binary64) (PI.f64))))
(*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64))
(*.f64 (*.f64 f (neg.f64 (PI.f64))) #s(literal -1/4 binary64))
(*.f64 (*.f64 f #s(literal 1/4 binary64)) (PI.f64))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) #s(literal -1/2 binary64))) (/.f64 f (pow.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) #s(literal -1/2 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (PI.f64))) (/.f64 f #s(literal -4 binary64)))
(*.f64 (/.f64 f #s(literal 1 binary64)) (*.f64 (PI.f64) #s(literal 1/4 binary64)))
(*.f64 (/.f64 f #s(literal -1 binary64)) (*.f64 (PI.f64) #s(literal -1/4 binary64)))
(*.f64 (/.f64 f (/.f64 #s(literal 1 binary64) (PI.f64))) #s(literal 1/4 binary64))
(*.f64 (/.f64 f (pow.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) #s(literal -1/2 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) #s(literal -1/2 binary64))))
(*.f64 (/.f64 f (/.f64 #s(literal -1 binary64) (PI.f64))) #s(literal -1/4 binary64))
(*.f64 (*.f64 f (pow.f64 (PI.f64) #s(literal 2/3 binary64))) (*.f64 (cbrt.f64 (PI.f64)) #s(literal 1/4 binary64)))
(*.f64 (*.f64 f (sqrt.f64 (PI.f64))) (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/4 binary64)))

eval38.0ms (0.2%)

Memory
0.1MiB live, 38.1MiB allocated
Compiler

Compiled 5 905 to 128 computations (97.8% saved)

prune31.0ms (0.2%)

Memory
-24.6MiB live, 18.5MiB allocated
Pruning

7 alts after pruning (7 fresh and 0 done)

PrunedKeptTotal
New1617168
Fresh000
Picked101
Done000
Total1627169
Accuracy
98.3%
Counts
169 → 7
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶97.0%
(neg.f64 (fma.f64 (-.f64 (neg.f64 (log.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)))) (log.f64 f)) (/.f64 #s(literal 4 binary64) (PI.f64)) (*.f64 (*.f64 f f) (*.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (fma.f64 (*.f64 (PI.f64) #s(literal 1/48 binary64)) #s(literal -2 binary64) (*.f64 (PI.f64) #s(literal 1/8 binary64)))) (/.f64 #s(literal 2 binary64) (PI.f64))))))
▶96.8%
(neg.f64 (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (neg.f64 (log.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)))) (log.f64 f))) (PI.f64)))
▶97.0%
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (fma.f64 f (*.f64 f (fma.f64 (*.f64 (PI.f64) #s(literal 1/48 binary64)) #s(literal -2 binary64) (*.f64 (PI.f64) #s(literal 1/8 binary64)))) (/.f64 #s(literal 4 binary64) (PI.f64))) f))))
▶97.2%
(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 f (fma.f64 (*.f64 f f) (fma.f64 f (*.f64 f (*.f64 (pow.f64 (PI.f64) #s(literal 5 binary64)) #s(literal 1/61440 binary64))) (*.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/192 binary64)))) (*.f64 (PI.f64) #s(literal 1/2 binary64))))))))
97.0%
(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 f (fma.f64 f (*.f64 f (*.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/192 binary64)))) (*.f64 (PI.f64) #s(literal 1/2 binary64))))))))
▶96.7%
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 #s(literal 2 binary64) (*.f64 f (*.f64 (PI.f64) #s(literal 1/2 binary64)))))))
7.5%
(neg.f64 (*.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))) (exp.f64 (*.f64 f (*.f64 (PI.f64) #s(literal -1/4 binary64))))) (-.f64 (exp.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))) (exp.f64 (*.f64 f (*.f64 (PI.f64) #s(literal -1/4 binary64))))))) (/.f64 #s(literal 4 binary64) (PI.f64))))
Compiler

Compiled 426 to 286 computations (32.9% saved)

simplify783.0ms (4.8%)

Memory
18.8MiB live, 498.6MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
✓cost-diff128
(neg.f64 (fma.f64 (-.f64 (neg.f64 (log.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)))) (log.f64 f)) (/.f64 #s(literal 4 binary64) (PI.f64)) (*.f64 (*.f64 f f) (*.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (fma.f64 (*.f64 (PI.f64) #s(literal 1/48 binary64)) #s(literal -2 binary64) (*.f64 (PI.f64) #s(literal 1/8 binary64)))) (/.f64 #s(literal 2 binary64) (PI.f64))))))
✓cost-diff320
(*.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (fma.f64 (*.f64 (PI.f64) #s(literal 1/48 binary64)) #s(literal -2 binary64) (*.f64 (PI.f64) #s(literal 1/8 binary64))))
✓cost-diff320
(*.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (fma.f64 (*.f64 (PI.f64) #s(literal 1/48 binary64)) #s(literal -2 binary64) (*.f64 (PI.f64) #s(literal 1/8 binary64)))) (/.f64 #s(literal 2 binary64) (PI.f64)))
✓cost-diff704
(fma.f64 (*.f64 (PI.f64) #s(literal 1/48 binary64)) #s(literal -2 binary64) (*.f64 (PI.f64) #s(literal 1/8 binary64)))
✓cost-diff0
(-.f64 (neg.f64 (log.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)))) (log.f64 f))
✓cost-diff0
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (neg.f64 (log.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)))) (log.f64 f))) (PI.f64))
✓cost-diff128
(*.f64 #s(literal 4 binary64) (-.f64 (neg.f64 (log.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)))) (log.f64 f)))
✓cost-diff128
(neg.f64 (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (neg.f64 (log.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)))) (log.f64 f))) (PI.f64)))
✓cost-diff0
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (fma.f64 f (*.f64 f (fma.f64 (*.f64 (PI.f64) #s(literal 1/48 binary64)) #s(literal -2 binary64) (*.f64 (PI.f64) #s(literal 1/8 binary64)))) (/.f64 #s(literal 4 binary64) (PI.f64))) f)))
✓cost-diff128
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (fma.f64 f (*.f64 f (fma.f64 (*.f64 (PI.f64) #s(literal 1/48 binary64)) #s(literal -2 binary64) (*.f64 (PI.f64) #s(literal 1/8 binary64)))) (/.f64 #s(literal 4 binary64) (PI.f64))) f))))
✓cost-diff704
(fma.f64 (*.f64 (PI.f64) #s(literal 1/48 binary64)) #s(literal -2 binary64) (*.f64 (PI.f64) #s(literal 1/8 binary64)))
✓cost-diff704
(/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64)))
✓cost-diff64
(log.f64 (/.f64 #s(literal 2 binary64) (*.f64 f (*.f64 (PI.f64) #s(literal 1/2 binary64)))))
✓cost-diff128
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 #s(literal 2 binary64) (*.f64 f (*.f64 (PI.f64) #s(literal 1/2 binary64)))))))
✓cost-diff320
(/.f64 #s(literal 2 binary64) (*.f64 f (*.f64 (PI.f64) #s(literal 1/2 binary64))))
✓cost-diff704
(/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64)))
✓cost-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 f (fma.f64 (*.f64 f f) (fma.f64 f (*.f64 f (*.f64 (pow.f64 (PI.f64) #s(literal 5 binary64)) #s(literal 1/61440 binary64))) (*.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/192 binary64)))) (*.f64 (PI.f64) #s(literal 1/2 binary64))))))))
✓cost-diff192
(*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)
✓cost-diff320
(neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))
✓cost-diff704
(/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64)))
Rules
12 368×lower-fma.f32
12 358×lower-fma.f64
6 154×lower-*.f32
6 112×lower-*.f64
1 956×lower-+.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
064768
0121759
1261658
2777638
32779628
47536628
08181626
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 f (fma.f64 (*.f64 f f) (fma.f64 f (*.f64 f (*.f64 (pow.f64 (PI.f64) #s(literal 5 binary64)) #s(literal 1/61440 binary64))) (*.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/192 binary64)))) (*.f64 (PI.f64) #s(literal 1/2 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 f (fma.f64 (*.f64 f f) (fma.f64 f (*.f64 f (*.f64 (pow.f64 (PI.f64) #s(literal 5 binary64)) #s(literal 1/61440 binary64))) (*.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/192 binary64)))) (*.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 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (*.f64 f (fma.f64 (*.f64 f f) (fma.f64 f (*.f64 f (*.f64 (pow.f64 (PI.f64) #s(literal 5 binary64)) #s(literal 1/61440 binary64))) (*.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/192 binary64)))) (*.f64 (PI.f64) #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 f (fma.f64 (*.f64 f f) (fma.f64 f (*.f64 f (*.f64 (pow.f64 (PI.f64) #s(literal 5 binary64)) #s(literal 1/61440 binary64))) (*.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/192 binary64)))) (*.f64 (PI.f64) #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))))
(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 f (fma.f64 (*.f64 f f) (fma.f64 f (*.f64 f (*.f64 (pow.f64 (PI.f64) #s(literal 5 binary64)) #s(literal 1/61440 binary64))) (*.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/192 binary64)))) (*.f64 (PI.f64) #s(literal 1/2 binary64))))
(fma.f64 (*.f64 f f) (fma.f64 f (*.f64 f (*.f64 (pow.f64 (PI.f64) #s(literal 5 binary64)) #s(literal 1/61440 binary64))) (*.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/192 binary64)))) (*.f64 (PI.f64) #s(literal 1/2 binary64)))
(*.f64 f f)
(fma.f64 f (*.f64 f (*.f64 (pow.f64 (PI.f64) #s(literal 5 binary64)) #s(literal 1/61440 binary64))) (*.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/192 binary64))))
(*.f64 f (*.f64 (pow.f64 (PI.f64) #s(literal 5 binary64)) #s(literal 1/61440 binary64)))
(*.f64 (pow.f64 (PI.f64) #s(literal 5 binary64)) #s(literal 1/61440 binary64))
(pow.f64 (PI.f64) #s(literal 5 binary64))
#s(literal 5 binary64)
#s(literal 1/61440 binary64)
(*.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/192 binary64)))
(*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/192 binary64))
(*.f64 (PI.f64) (PI.f64))
#s(literal 1/192 binary64)
(*.f64 (PI.f64) #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 #s(literal 2 binary64) (*.f64 f (*.f64 (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)
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (fma.f64 f (*.f64 f (fma.f64 (*.f64 (PI.f64) #s(literal 1/48 binary64)) #s(literal -2 binary64) (*.f64 (PI.f64) #s(literal 1/8 binary64)))) (/.f64 #s(literal 4 binary64) (PI.f64))) f))))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (fma.f64 f (*.f64 f (fma.f64 (*.f64 (PI.f64) #s(literal 1/48 binary64)) #s(literal -2 binary64) (*.f64 (PI.f64) #s(literal 1/8 binary64)))) (/.f64 #s(literal 4 binary64) (PI.f64))) f)))
(/.f64 #s(literal 1 binary64) (/.f64 (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 f (*.f64 f (fma.f64 (*.f64 (PI.f64) #s(literal 1/48 binary64)) #s(literal -2 binary64) (*.f64 (PI.f64) #s(literal 1/8 binary64)))) (/.f64 #s(literal 4 binary64) (PI.f64))) f))
(/.f64 (fma.f64 f (*.f64 f (fma.f64 (*.f64 (PI.f64) #s(literal 1/48 binary64)) #s(literal -2 binary64) (*.f64 (PI.f64) #s(literal 1/8 binary64)))) (/.f64 #s(literal 4 binary64) (PI.f64))) f)
(fma.f64 f (*.f64 f (fma.f64 (*.f64 (PI.f64) #s(literal 1/48 binary64)) #s(literal -2 binary64) (*.f64 (PI.f64) #s(literal 1/8 binary64)))) (/.f64 #s(literal 4 binary64) (PI.f64)))
f
(*.f64 f (fma.f64 (*.f64 (PI.f64) #s(literal 1/48 binary64)) #s(literal -2 binary64) (*.f64 (PI.f64) #s(literal 1/8 binary64))))
(fma.f64 (*.f64 (PI.f64) #s(literal 1/48 binary64)) #s(literal -2 binary64) (*.f64 (PI.f64) #s(literal 1/8 binary64)))
(*.f64 (PI.f64) #s(literal 1/48 binary64))
#s(literal 1/48 binary64)
#s(literal -2 binary64)
(*.f64 (PI.f64) #s(literal 1/8 binary64))
#s(literal 1/8 binary64)
(/.f64 #s(literal 4 binary64) (PI.f64))
(neg.f64 (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (neg.f64 (log.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)))) (log.f64 f))) (PI.f64)))
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (neg.f64 (log.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)))) (log.f64 f))) (PI.f64))
(*.f64 #s(literal 4 binary64) (-.f64 (neg.f64 (log.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)))) (log.f64 f)))
#s(literal 4 binary64)
(-.f64 (neg.f64 (log.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)))) (log.f64 f))
(neg.f64 (log.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64))))
(log.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)))
(*.f64 #s(literal 1/4 binary64) (PI.f64))
#s(literal 1/4 binary64)
(PI.f64)
(log.f64 f)
f
(neg.f64 (fma.f64 (-.f64 (neg.f64 (log.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)))) (log.f64 f)) (/.f64 #s(literal 4 binary64) (PI.f64)) (*.f64 (*.f64 f f) (*.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (fma.f64 (*.f64 (PI.f64) #s(literal 1/48 binary64)) #s(literal -2 binary64) (*.f64 (PI.f64) #s(literal 1/8 binary64)))) (/.f64 #s(literal 2 binary64) (PI.f64))))))
(fma.f64 (-.f64 (neg.f64 (log.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)))) (log.f64 f)) (/.f64 #s(literal 4 binary64) (PI.f64)) (*.f64 (*.f64 f f) (*.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (fma.f64 (*.f64 (PI.f64) #s(literal 1/48 binary64)) #s(literal -2 binary64) (*.f64 (PI.f64) #s(literal 1/8 binary64)))) (/.f64 #s(literal 2 binary64) (PI.f64)))))
(-.f64 (neg.f64 (log.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)))) (log.f64 f))
(neg.f64 (log.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64))))
(log.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)))
(*.f64 #s(literal 1/4 binary64) (PI.f64))
#s(literal 1/4 binary64)
(PI.f64)
(log.f64 f)
f
(/.f64 #s(literal 4 binary64) (PI.f64))
#s(literal 4 binary64)
(*.f64 (*.f64 f f) (*.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (fma.f64 (*.f64 (PI.f64) #s(literal 1/48 binary64)) #s(literal -2 binary64) (*.f64 (PI.f64) #s(literal 1/8 binary64)))) (/.f64 #s(literal 2 binary64) (PI.f64))))
(*.f64 f f)
(*.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (fma.f64 (*.f64 (PI.f64) #s(literal 1/48 binary64)) #s(literal -2 binary64) (*.f64 (PI.f64) #s(literal 1/8 binary64)))) (/.f64 #s(literal 2 binary64) (PI.f64)))
(*.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (fma.f64 (*.f64 (PI.f64) #s(literal 1/48 binary64)) #s(literal -2 binary64) (*.f64 (PI.f64) #s(literal 1/8 binary64))))
(*.f64 (PI.f64) #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
(fma.f64 (*.f64 (PI.f64) #s(literal 1/48 binary64)) #s(literal -2 binary64) (*.f64 (PI.f64) #s(literal 1/8 binary64)))
(*.f64 (PI.f64) #s(literal 1/48 binary64))
#s(literal 1/48 binary64)
#s(literal -2 binary64)
(*.f64 (PI.f64) #s(literal 1/8 binary64))
#s(literal 1/8 binary64)
(/.f64 #s(literal 2 binary64) (PI.f64))
#s(literal 2 binary64)
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 f (fma.f64 (*.f64 f f) (fma.f64 f (*.f64 f (*.f64 (pow.f64 (PI.f64) #s(literal 5 binary64)) #s(literal 1/61440 binary64))) (*.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/192 binary64)))) (*.f64 (PI.f64) #s(literal 1/2 binary64))))))))
(/.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (PI.f64) (-.f64 #s(literal 0 binary64) (*.f64 f #s(literal -1/4 binary64))))) (exp.f64 (*.f64 (PI.f64) (*.f64 f #s(literal -1/4 binary64))))) (*.f64 f (fma.f64 (PI.f64) #s(literal 1/2 binary64) (*.f64 (*.f64 f f) (fma.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/192 binary64))) (*.f64 (*.f64 f f) (*.f64 (pow.f64 (PI.f64) #s(literal 5 binary64)) #s(literal 1/61440 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 f (fma.f64 (*.f64 f f) (fma.f64 f (*.f64 f (*.f64 (pow.f64 (PI.f64) #s(literal 5 binary64)) #s(literal 1/61440 binary64))) (*.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/192 binary64)))) (*.f64 (PI.f64) #s(literal 1/2 binary64)))))))
(*.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (PI.f64) (-.f64 #s(literal 0 binary64) (*.f64 f #s(literal -1/4 binary64))))) (exp.f64 (*.f64 (PI.f64) (*.f64 f #s(literal -1/4 binary64))))) (*.f64 f (fma.f64 (PI.f64) #s(literal 1/2 binary64) (*.f64 (*.f64 f f) (fma.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/192 binary64))) (*.f64 (*.f64 f f) (*.f64 (pow.f64 (PI.f64) #s(literal 5 binary64)) #s(literal 1/61440 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 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (*.f64 f (fma.f64 (*.f64 f f) (fma.f64 f (*.f64 f (*.f64 (pow.f64 (PI.f64) #s(literal 5 binary64)) #s(literal 1/61440 binary64))) (*.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/192 binary64)))) (*.f64 (PI.f64) #s(literal 1/2 binary64))))))
(log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (PI.f64) (-.f64 #s(literal 0 binary64) (*.f64 f #s(literal -1/4 binary64))))) (exp.f64 (*.f64 (PI.f64) (*.f64 f #s(literal -1/4 binary64))))) (*.f64 f (fma.f64 (PI.f64) #s(literal 1/2 binary64) (*.f64 (*.f64 f f) (fma.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/192 binary64))) (*.f64 (*.f64 f f) (*.f64 (pow.f64 (PI.f64) #s(literal 5 binary64)) #s(literal 1/61440 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 f (fma.f64 (*.f64 f f) (fma.f64 f (*.f64 f (*.f64 (pow.f64 (PI.f64) #s(literal 5 binary64)) #s(literal 1/61440 binary64))) (*.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/192 binary64)))) (*.f64 (PI.f64) #s(literal 1/2 binary64)))))
(/.f64 (+.f64 (exp.f64 (*.f64 (PI.f64) (-.f64 #s(literal 0 binary64) (*.f64 f #s(literal -1/4 binary64))))) (exp.f64 (*.f64 (PI.f64) (*.f64 f #s(literal -1/4 binary64))))) (*.f64 f (fma.f64 (PI.f64) #s(literal 1/2 binary64) (*.f64 (*.f64 f f) (fma.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/192 binary64))) (*.f64 (*.f64 f f) (*.f64 (pow.f64 (PI.f64) #s(literal 5 binary64)) #s(literal 1/61440 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 #s(literal 0 binary64) (*.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 #s(literal 0 binary64) (*.f64 f #s(literal -1/4 binary64)))))
(*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)
(*.f64 (PI.f64) (-.f64 #s(literal 0 binary64) (*.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 f (fma.f64 (*.f64 f f) (fma.f64 f (*.f64 f (*.f64 (pow.f64 (PI.f64) #s(literal 5 binary64)) #s(literal 1/61440 binary64))) (*.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/192 binary64)))) (*.f64 (PI.f64) #s(literal 1/2 binary64))))
(*.f64 f (fma.f64 (PI.f64) #s(literal 1/2 binary64) (*.f64 (*.f64 f f) (fma.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/192 binary64))) (*.f64 (*.f64 f f) (*.f64 (pow.f64 (PI.f64) #s(literal 5 binary64)) #s(literal 1/61440 binary64)))))))
(fma.f64 (*.f64 f f) (fma.f64 f (*.f64 f (*.f64 (pow.f64 (PI.f64) #s(literal 5 binary64)) #s(literal 1/61440 binary64))) (*.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/192 binary64)))) (*.f64 (PI.f64) #s(literal 1/2 binary64)))
(fma.f64 (PI.f64) #s(literal 1/2 binary64) (*.f64 (*.f64 f f) (fma.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/192 binary64))) (*.f64 (*.f64 f f) (*.f64 (pow.f64 (PI.f64) #s(literal 5 binary64)) #s(literal 1/61440 binary64))))))
(*.f64 f f)
(fma.f64 f (*.f64 f (*.f64 (pow.f64 (PI.f64) #s(literal 5 binary64)) #s(literal 1/61440 binary64))) (*.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/192 binary64))))
(fma.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/192 binary64))) (*.f64 (*.f64 f f) (*.f64 (pow.f64 (PI.f64) #s(literal 5 binary64)) #s(literal 1/61440 binary64))))
(*.f64 f (*.f64 (pow.f64 (PI.f64) #s(literal 5 binary64)) #s(literal 1/61440 binary64)))
(*.f64 (pow.f64 (PI.f64) #s(literal 5 binary64)) #s(literal 1/61440 binary64))
(pow.f64 (PI.f64) #s(literal 5 binary64))
#s(literal 5 binary64)
#s(literal 1/61440 binary64)
(*.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/192 binary64)))
(*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) #s(literal 1/192 binary64)))
(*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/192 binary64))
(*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/192 binary64)))
(*.f64 (PI.f64) (PI.f64))
#s(literal 1/192 binary64)
(*.f64 (PI.f64) #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 #s(literal 2 binary64) (*.f64 f (*.f64 (PI.f64) #s(literal 1/2 binary64)))))))
(/.f64 (neg.f64 (log.f64 (*.f64 (PI.f64) (-.f64 #s(literal 0 binary64) (*.f64 f #s(literal -1/4 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 #s(literal 2 binary64) (*.f64 f (*.f64 (PI.f64) #s(literal 1/2 binary64))))))
(*.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (neg.f64 (log.f64 (*.f64 (PI.f64) (-.f64 #s(literal 0 binary64) (*.f64 f #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 #s(literal 2 binary64) (*.f64 f (*.f64 (PI.f64) #s(literal 1/2 binary64)))))
(neg.f64 (log.f64 (*.f64 (PI.f64) (-.f64 #s(literal 0 binary64) (*.f64 f #s(literal -1/4 binary64))))))
(/.f64 #s(literal 2 binary64) (*.f64 f (*.f64 (PI.f64) #s(literal 1/2 binary64))))
(/.f64 #s(literal 4 binary64) (*.f64 (PI.f64) f))
#s(literal 2 binary64)
(*.f64 f (*.f64 (PI.f64) #s(literal 1/2 binary64)))
f
(*.f64 (PI.f64) #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (fma.f64 f (*.f64 f (fma.f64 (*.f64 (PI.f64) #s(literal 1/48 binary64)) #s(literal -2 binary64) (*.f64 (PI.f64) #s(literal 1/8 binary64)))) (/.f64 #s(literal 4 binary64) (PI.f64))) f))))
(/.f64 (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 f (*.f64 f (fma.f64 (*.f64 (PI.f64) #s(literal 1/48 binary64)) #s(literal -2 binary64) (*.f64 (PI.f64) #s(literal 1/8 binary64)))) (/.f64 #s(literal 4 binary64) (PI.f64))) f)))
(*.f64 (/.f64 #s(literal 4 binary64) (PI.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 #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 f (*.f64 f (fma.f64 (*.f64 (PI.f64) #s(literal 1/48 binary64)) #s(literal -2 binary64) (*.f64 (PI.f64) #s(literal 1/8 binary64)))) (/.f64 #s(literal 4 binary64) (PI.f64))) f))
(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 f (*.f64 f (fma.f64 (*.f64 (PI.f64) #s(literal 1/48 binary64)) #s(literal -2 binary64) (*.f64 (PI.f64) #s(literal 1/8 binary64)))) (/.f64 #s(literal 4 binary64) (PI.f64))) f)
(/.f64 (fma.f64 (*.f64 (PI.f64) (*.f64 f f)) #s(literal 1/12 binary64) (/.f64 #s(literal 4 binary64) (PI.f64))) f)
(fma.f64 f (*.f64 f (fma.f64 (*.f64 (PI.f64) #s(literal 1/48 binary64)) #s(literal -2 binary64) (*.f64 (PI.f64) #s(literal 1/8 binary64)))) (/.f64 #s(literal 4 binary64) (PI.f64)))
(fma.f64 (*.f64 (PI.f64) (*.f64 f f)) #s(literal 1/12 binary64) (/.f64 #s(literal 4 binary64) (PI.f64)))
f
(*.f64 f (fma.f64 (*.f64 (PI.f64) #s(literal 1/48 binary64)) #s(literal -2 binary64) (*.f64 (PI.f64) #s(literal 1/8 binary64))))
(*.f64 (PI.f64) (*.f64 #s(literal 1/12 binary64) f))
(fma.f64 (*.f64 (PI.f64) #s(literal 1/48 binary64)) #s(literal -2 binary64) (*.f64 (PI.f64) #s(literal 1/8 binary64)))
(*.f64 (PI.f64) #s(literal 1/12 binary64))
(*.f64 (PI.f64) #s(literal 1/48 binary64))
#s(literal 1/48 binary64)
#s(literal -2 binary64)
(*.f64 (PI.f64) #s(literal 1/8 binary64))
#s(literal 1/8 binary64)
(/.f64 #s(literal 4 binary64) (PI.f64))
(neg.f64 (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (neg.f64 (log.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)))) (log.f64 f))) (PI.f64)))
(*.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (+.f64 (log.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64))) (log.f64 f)))
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (neg.f64 (log.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)))) (log.f64 f))) (PI.f64))
(/.f64 (+.f64 (log.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64))) (log.f64 f)) (*.f64 (PI.f64) #s(literal -1/4 binary64)))
(*.f64 #s(literal 4 binary64) (-.f64 (neg.f64 (log.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)))) (log.f64 f)))
(*.f64 #s(literal -4 binary64) (+.f64 (log.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64))) (log.f64 f)))
#s(literal 4 binary64)
(-.f64 (neg.f64 (log.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)))) (log.f64 f))
(-.f64 (neg.f64 (log.f64 f)) (log.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64))))
(neg.f64 (log.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64))))
(neg.f64 (log.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64))))
(log.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)))
(log.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)))
(*.f64 #s(literal 1/4 binary64) (PI.f64))
(*.f64 (PI.f64) #s(literal 1/4 binary64))
#s(literal 1/4 binary64)
(PI.f64)
(log.f64 f)
f
(neg.f64 (fma.f64 (-.f64 (neg.f64 (log.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)))) (log.f64 f)) (/.f64 #s(literal 4 binary64) (PI.f64)) (*.f64 (*.f64 f f) (*.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (fma.f64 (*.f64 (PI.f64) #s(literal 1/48 binary64)) #s(literal -2 binary64) (*.f64 (PI.f64) #s(literal 1/8 binary64)))) (/.f64 #s(literal 2 binary64) (PI.f64))))))
(fma.f64 (PI.f64) (/.f64 (*.f64 (*.f64 (PI.f64) (*.f64 f f)) #s(literal -1/12 binary64)) (PI.f64)) (*.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (+.f64 (log.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64))) (log.f64 f))))
(fma.f64 (-.f64 (neg.f64 (log.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)))) (log.f64 f)) (/.f64 #s(literal 4 binary64) (PI.f64)) (*.f64 (*.f64 f f) (*.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (fma.f64 (*.f64 (PI.f64) #s(literal 1/48 binary64)) #s(literal -2 binary64) (*.f64 (PI.f64) #s(literal 1/8 binary64)))) (/.f64 #s(literal 2 binary64) (PI.f64)))))
(fma.f64 (/.f64 #s(literal -4 binary64) (PI.f64)) (+.f64 (log.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64))) (log.f64 f)) (/.f64 (*.f64 f (*.f64 f (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/12 binary64))))) (PI.f64)))
(-.f64 (neg.f64 (log.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)))) (log.f64 f))
(-.f64 (neg.f64 (log.f64 f)) (log.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64))))
(neg.f64 (log.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64))))
(neg.f64 (log.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64))))
(log.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)))
(log.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)))
(*.f64 #s(literal 1/4 binary64) (PI.f64))
(*.f64 (PI.f64) #s(literal 1/4 binary64))
#s(literal 1/4 binary64)
(PI.f64)
(log.f64 f)
f
(/.f64 #s(literal 4 binary64) (PI.f64))
#s(literal 4 binary64)
(*.f64 (*.f64 f f) (*.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (fma.f64 (*.f64 (PI.f64) #s(literal 1/48 binary64)) #s(literal -2 binary64) (*.f64 (PI.f64) #s(literal 1/8 binary64)))) (/.f64 #s(literal 2 binary64) (PI.f64))))
(/.f64 (*.f64 f (*.f64 f (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/12 binary64))))) (PI.f64))
(*.f64 f f)
(*.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (fma.f64 (*.f64 (PI.f64) #s(literal 1/48 binary64)) #s(literal -2 binary64) (*.f64 (PI.f64) #s(literal 1/8 binary64)))) (/.f64 #s(literal 2 binary64) (PI.f64)))
(/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/12 binary64))) (PI.f64))
(*.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (fma.f64 (*.f64 (PI.f64) #s(literal 1/48 binary64)) #s(literal -2 binary64) (*.f64 (PI.f64) #s(literal 1/8 binary64))))
(*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/24 binary64)))
(*.f64 (PI.f64) #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
(fma.f64 (*.f64 (PI.f64) #s(literal 1/48 binary64)) #s(literal -2 binary64) (*.f64 (PI.f64) #s(literal 1/8 binary64)))
(*.f64 (PI.f64) #s(literal 1/12 binary64))
(*.f64 (PI.f64) #s(literal 1/48 binary64))
#s(literal 1/48 binary64)
#s(literal -2 binary64)
(*.f64 (PI.f64) #s(literal 1/8 binary64))
#s(literal 1/8 binary64)
(/.f64 #s(literal 2 binary64) (PI.f64))
#s(literal 2 binary64)

localize399.0ms (2.4%)

Memory
18.5MiB live, 405.1MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
✓accuracy98.4%
(fma.f64 (*.f64 (PI.f64) #s(literal 1/48 binary64)) #s(literal -2 binary64) (*.f64 (PI.f64) #s(literal 1/8 binary64)))
✓accuracy98.4%
(*.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (fma.f64 (*.f64 (PI.f64) #s(literal 1/48 binary64)) #s(literal -2 binary64) (*.f64 (PI.f64) #s(literal 1/8 binary64))))
✓accuracy98.4%
(*.f64 (PI.f64) #s(literal 1/48 binary64))
✓accuracy97.5%
(log.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)))
✓accuracy100.0%
(PI.f64)
✓accuracy99.7%
(-.f64 (neg.f64 (log.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)))) (log.f64 f))
✓accuracy99.5%
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (neg.f64 (log.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)))) (log.f64 f))) (PI.f64))
✓accuracy97.5%
(log.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)))
✓accuracy99.4%
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (fma.f64 f (*.f64 f (fma.f64 (*.f64 (PI.f64) #s(literal 1/48 binary64)) #s(literal -2 binary64) (*.f64 (PI.f64) #s(literal 1/8 binary64)))) (/.f64 #s(literal 4 binary64) (PI.f64))) f)))
✓accuracy98.9%
(*.f64 f (fma.f64 (*.f64 (PI.f64) #s(literal 1/48 binary64)) #s(literal -2 binary64) (*.f64 (PI.f64) #s(literal 1/8 binary64))))
✓accuracy98.4%
(fma.f64 (*.f64 (PI.f64) #s(literal 1/48 binary64)) #s(literal -2 binary64) (*.f64 (PI.f64) #s(literal 1/8 binary64)))
✓accuracy98.4%
(*.f64 (PI.f64) #s(literal 1/48 binary64))
✓accuracy100.0%
(log.f64 (/.f64 #s(literal 2 binary64) (*.f64 f (*.f64 (PI.f64) #s(literal 1/2 binary64)))))
✓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))))))
✓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 f (fma.f64 (*.f64 f f) (fma.f64 f (*.f64 f (*.f64 (pow.f64 (PI.f64) #s(literal 5 binary64)) #s(literal 1/61440 binary64))) (*.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/192 binary64)))) (*.f64 (PI.f64) #s(literal 1/2 binary64))))))
✓accuracy98.4%
(pow.f64 (PI.f64) #s(literal 5 binary64))
✓accuracy98.4%
(*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/192 binary64))
✓accuracy98.4%
(*.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/192 binary64)))
Samples
222.0ms256×0valid
Compiler

Compiled 803 to 71 computations (91.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 182.0ms
ival-mult: 74.0ms (40.6% of total)
ival-log: 44.0ms (24.1% of total)
const: 29.0ms (15.9% of total)
ival-div: 12.0ms (6.6% of total)
ival-add: 6.0ms (3.3% of total)
ival-neg: 6.0ms (3.3% of total)
ival-exp: 4.0ms (2.2% of total)
ival-pow: 2.0ms (1.1% of total)
ival-pi: 1.0ms (0.5% of total)
ival-sub: 1.0ms (0.5% of total)
exact: 1.0ms (0.5% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series174.0ms (1.1%)

Memory
-9.5MiB live, 270.3MiB allocated
Counts
17 → 108
Calls
Call 1
Inputs
#<alt (*.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/192 binary64)))>
#<alt (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/192 binary64))>
#<alt (pow.f64 (PI.f64) #s(literal 5 binary64))>
#<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 f (fma.f64 (*.f64 f f) (fma.f64 f (*.f64 f (*.f64 (pow.f64 (PI.f64) #s(literal 5 binary64)) #s(literal 1/61440 binary64))) (*.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/192 binary64)))) (*.f64 (PI.f64) #s(literal 1/2 binary64))))))>
#<alt (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 #s(literal 2 binary64) (*.f64 f (*.f64 (PI.f64) #s(literal 1/2 binary64))))))>
#<alt (/.f64 #s(literal 2 binary64) (*.f64 f (*.f64 (PI.f64) #s(literal 1/2 binary64))))>
#<alt (*.f64 f (*.f64 (PI.f64) #s(literal 1/2 binary64)))>
#<alt (log.f64 (/.f64 #s(literal 2 binary64) (*.f64 f (*.f64 (PI.f64) #s(literal 1/2 binary64)))))>
#<alt (*.f64 (PI.f64) #s(literal 1/48 binary64))>
#<alt (fma.f64 (*.f64 (PI.f64) #s(literal 1/48 binary64)) #s(literal -2 binary64) (*.f64 (PI.f64) #s(literal 1/8 binary64)))>
#<alt (*.f64 f (fma.f64 (*.f64 (PI.f64) #s(literal 1/48 binary64)) #s(literal -2 binary64) (*.f64 (PI.f64) #s(literal 1/8 binary64))))>
#<alt (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (fma.f64 f (*.f64 f (fma.f64 (*.f64 (PI.f64) #s(literal 1/48 binary64)) #s(literal -2 binary64) (*.f64 (PI.f64) #s(literal 1/8 binary64)))) (/.f64 #s(literal 4 binary64) (PI.f64))) f)))>
#<alt (log.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)))>
#<alt (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (neg.f64 (log.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)))) (log.f64 f))) (PI.f64))>
#<alt (-.f64 (neg.f64 (log.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)))) (log.f64 f))>
#<alt (PI.f64)>
#<alt (*.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (fma.f64 (*.f64 (PI.f64) #s(literal 1/48 binary64)) #s(literal -2 binary64) (*.f64 (PI.f64) #s(literal 1/8 binary64))))>
Outputs
#<alt (+ (log (/ 4 (PI))) (* -1 (log f)))>
#<alt (+ (log (/ 4 (PI))) (+ (* -1 (log f)) (* 1/2 (* f (+ (* -1/4 (PI)) (* 1/4 (PI)))))))>
#<alt (+ (log (/ 4 (PI))) (+ (* -1 (log f)) (* f (+ (* 1/2 (* f (+ (* -1/4 (pow (+ (* -1/4 (PI)) (* 1/4 (PI))) 2)) (* 1/2 (* (PI) (- (* 1/8 (PI)) (* 1/24 (PI)))))))) (* 1/2 (+ (* -1/4 (PI)) (* 1/4 (PI))))))))>
#<alt (+ (log (/ 4 (PI))) (+ (* -1 (log f)) (* f (+ (* 1/2 (+ (* -1/4 (PI)) (* 1/4 (PI)))) (* f (+ (* 1/6 (* f (+ (* -3/4 (* (PI) (* (+ (* -1/4 (PI)) (* 1/4 (PI))) (- (* 1/8 (PI)) (* 1/24 (PI)))))) (+ (* 1/4 (pow (+ (* -1/4 (PI)) (* 1/4 (PI))) 3)) (* 3/2 (* (PI) (- (* 2 (/ (+ (* -1/384 (pow (PI) 3)) (* 1/384 (pow (PI) 3))) (PI))) (* 1/48 (* (PI) (+ (* -1/4 (PI)) (* 1/4 (PI)))))))))))) (* 1/2 (+ (* -1/4 (pow (+ (* -1/4 (PI)) (* 1/4 (PI))) 2)) (* 1/2 (* (PI) (- (* 1/8 (PI)) (* 1/24 (PI)))))))))))))>
#<alt (+ (log (* 61440 (/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (pow (PI) 5)))) (* 5 (log (/ 1 f))))>
#<alt (- (+ (log (* 61440 (/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (pow (PI) 5)))) (* 5 (log (/ 1 f)))) (* 320 (/ 1 (* (pow f 2) (pow (PI) 2)))))>
#<alt (- (+ (log (* 61440 (/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (pow (PI) 5)))) (+ (* 1/24 (/ (- (* -1/2560 (/ (* (pow (PI) 5) (+ (* -6291456000 (/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (pow (PI) 9))) (* 1887436800 (/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (pow (PI) 9))))) (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))))) (* 1228800 (/ 1 (pow (PI) 4)))) (pow f 4))) (* 5 (log (/ 1 f))))) (/ 320 (* (pow f 2) (pow (PI) 2))))>
#<alt (- (+ (log (* 61440 (/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (pow (PI) 5)))) (+ (* 1/720 (/ (- (+ (* -15/4 (/ (* (pow (PI) 3) (+ (* -6291456000 (/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (pow (PI) 9))) (* 1887436800 (/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (pow (PI) 9))))) (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))))) (* -3/256 (/ (* (pow (PI) 5) (+ (* -603979776000 (/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (pow (PI) 11))) (* -320 (/ (+ (* -6291456000 (/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (pow (PI) 9))) (* 1887436800 (/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (pow (PI) 9)))) (pow (PI) 2))))) (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI)))))))) (* 7864320000 (/ 1 (pow (PI) 6)))) (pow f 6))) (+ (* 1/24 (/ (- (* -1/2560 (/ (* (pow (PI) 5) (+ (* -6291456000 (/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (pow (PI) 9))) (* 1887436800 (/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (pow (PI) 9))))) (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))))) (* 1228800 (/ 1 (pow (PI) 4)))) (pow f 4))) (* 5 (log (/ 1 f)))))) (/ 320 (* (pow f 2) (pow (PI) 2))))>
#<alt (+ (log (* -61440 (/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (pow (PI) 5)))) (* 5 (log (/ -1 f))))>
#<alt (- (+ (log (* -61440 (/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (pow (PI) 5)))) (* 5 (log (/ -1 f)))) (* 320 (/ 1 (* (pow f 2) (pow (PI) 2)))))>
#<alt (- (+ (log (* -61440 (/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (pow (PI) 5)))) (+ (* 1/24 (/ (- (* -1/2560 (/ (* (pow (PI) 5) (+ (* -6291456000 (/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (pow (PI) 9))) (* 1887436800 (/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (pow (PI) 9))))) (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))))) (* 1228800 (/ 1 (pow (PI) 4)))) (pow f 4))) (* 5 (log (/ -1 f))))) (/ 320 (* (pow f 2) (pow (PI) 2))))>
#<alt (- (+ (log (* -61440 (/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (pow (PI) 5)))) (+ (* 1/720 (/ (- (+ (* -15/4 (/ (* (pow (PI) 3) (+ (* -6291456000 (/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (pow (PI) 9))) (* 1887436800 (/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (pow (PI) 9))))) (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))))) (* -3/256 (/ (* (pow (PI) 5) (+ (* -603979776000 (/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (pow (PI) 11))) (* -320 (/ (+ (* -6291456000 (/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (pow (PI) 9))) (* 1887436800 (/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (pow (PI) 9)))) (pow (PI) 2))))) (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI)))))))) (* 7864320000 (/ 1 (pow (PI) 6)))) (pow f 6))) (+ (* 1/24 (/ (- (* -1/2560 (/ (* (pow (PI) 5) (+ (* -6291456000 (/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (pow (PI) 9))) (* 1887436800 (/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (pow (PI) 9))))) (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))))) (* 1228800 (/ 1 (pow (PI) 4)))) (pow f 4))) (* 5 (log (/ -1 f)))))) (/ 320 (* (pow f 2) (pow (PI) 2))))>
#<alt (* 4 (/ (+ (log (/ 4 (PI))) (* -1 (log f))) (PI)))>
#<alt (* 4 (/ (+ (log (/ 4 (PI))) (* -1 (log f))) (PI)))>
#<alt (* 4 (/ (+ (log (/ 4 (PI))) (* -1 (log f))) (PI)))>
#<alt (* 4 (/ (+ (log (/ 4 (PI))) (* -1 (log f))) (PI)))>
#<alt (* 4 (/ (+ (log (/ 1 f)) (log (/ 4 (PI)))) (PI)))>
#<alt (* 4 (/ (+ (log (/ 1 f)) (log (/ 4 (PI)))) (PI)))>
#<alt (* 4 (/ (+ (log (/ 1 f)) (log (/ 4 (PI)))) (PI)))>
#<alt (* 4 (/ (+ (log (/ 1 f)) (log (/ 4 (PI)))) (PI)))>
#<alt (* 4 (/ (+ (log (/ -4 (PI))) (log (/ -1 f))) (PI)))>
#<alt (* 4 (/ (+ (log (/ -4 (PI))) (log (/ -1 f))) (PI)))>
#<alt (* 4 (/ (+ (log (/ -4 (PI))) (log (/ -1 f))) (PI)))>
#<alt (* 4 (/ (+ (log (/ -4 (PI))) (log (/ -1 f))) (PI)))>
#<alt (/ 4 (* f (PI)))>
#<alt (/ 4 (* f (PI)))>
#<alt (/ 4 (* f (PI)))>
#<alt (/ 4 (* f (PI)))>
#<alt (/ 4 (* f (PI)))>
#<alt (/ 4 (* f (PI)))>
#<alt (/ 4 (* f (PI)))>
#<alt (/ 4 (* f (PI)))>
#<alt (/ 4 (* f (PI)))>
#<alt (/ 4 (* f (PI)))>
#<alt (/ 4 (* f (PI)))>
#<alt (/ 4 (* f (PI)))>
#<alt (* 1/2 (* f (PI)))>
#<alt (* 1/2 (* f (PI)))>
#<alt (* 1/2 (* f (PI)))>
#<alt (* 1/2 (* f (PI)))>
#<alt (* 1/2 (* f (PI)))>
#<alt (* 1/2 (* f (PI)))>
#<alt (* 1/2 (* f (PI)))>
#<alt (* 1/2 (* f (PI)))>
#<alt (* 1/2 (* f (PI)))>
#<alt (* 1/2 (* f (PI)))>
#<alt (* 1/2 (* f (PI)))>
#<alt (* 1/2 (* f (PI)))>
#<alt (+ (log (/ 4 (PI))) (* -1 (log f)))>
#<alt (+ (log (/ 4 (PI))) (* -1 (log f)))>
#<alt (+ (log (/ 4 (PI))) (* -1 (log f)))>
#<alt (+ (log (/ 4 (PI))) (* -1 (log f)))>
#<alt (+ (log (/ 1 f)) (log (/ 4 (PI))))>
#<alt (+ (log (/ 1 f)) (log (/ 4 (PI))))>
#<alt (+ (log (/ 1 f)) (log (/ 4 (PI))))>
#<alt (+ (log (/ 1 f)) (log (/ 4 (PI))))>
#<alt (+ (log (/ -4 (PI))) (log (/ -1 f)))>
#<alt (+ (log (/ -4 (PI))) (log (/ -1 f)))>
#<alt (+ (log (/ -4 (PI))) (log (/ -1 f)))>
#<alt (+ (log (/ -4 (PI))) (log (/ -1 f)))>
#<alt (* f (+ (* -1/24 (PI)) (* 1/8 (PI))))>
#<alt (* f (+ (* -1/24 (PI)) (* 1/8 (PI))))>
#<alt (* f (+ (* -1/24 (PI)) (* 1/8 (PI))))>
#<alt (* f (+ (* -1/24 (PI)) (* 1/8 (PI))))>
#<alt (* f (+ (* -1/24 (PI)) (* 1/8 (PI))))>
#<alt (* f (+ (* -1/24 (PI)) (* 1/8 (PI))))>
#<alt (* f (+ (* -1/24 (PI)) (* 1/8 (PI))))>
#<alt (* f (+ (* -1/24 (PI)) (* 1/8 (PI))))>
#<alt (* f (+ (* -1/24 (PI)) (* 1/8 (PI))))>
#<alt (* f (+ (* -1/24 (PI)) (* 1/8 (PI))))>
#<alt (* f (+ (* -1/24 (PI)) (* 1/8 (PI))))>
#<alt (* f (+ (* -1/24 (PI)) (* 1/8 (PI))))>
#<alt (* 4 (/ (+ (log (/ 4 (PI))) (* -1 (log f))) (PI)))>
#<alt (+ (* 4 (/ (+ (log (/ 4 (PI))) (* -1 (log f))) (PI))) (* (pow f 2) (+ (* -1/24 (PI)) (* 1/8 (PI)))))>
#<alt (+ (* 4 (/ (+ (log (/ 4 (PI))) (* -1 (log f))) (PI))) (* (pow f 2) (+ (* -1/8 (* (pow f 2) (* (PI) (pow (+ (* -1/24 (PI)) (* 1/8 (PI))) 2)))) (+ (* -1/24 (PI)) (* 1/8 (PI))))))>
#<alt (+ (* 4 (/ (+ (log (/ 4 (PI))) (* -1 (log f))) (PI))) (* (pow f 2) (+ (* -1/24 (PI)) (+ (* 1/8 (PI)) (* (pow f 2) (+ (* -1/8 (* (PI) (pow (+ (* -1/24 (PI)) (* 1/8 (PI))) 2))) (* 1/48 (* (pow f 2) (* (pow (PI) 2) (pow (+ (* -1/24 (PI)) (* 1/8 (PI))) 3))))))))))>
#<alt (* 4 (/ (+ (log (+ (* -1/24 (PI)) (* 1/8 (PI)))) (* -1 (log (/ 1 f)))) (PI)))>
#<alt (+ (* 4 (/ (+ (log (+ (* -1/24 (PI)) (* 1/8 (PI)))) (* -1 (log (/ 1 f)))) (PI))) (* 16 (/ 1 (* (pow f 2) (* (pow (PI) 2) (+ (* -1/24 (PI)) (* 1/8 (PI))))))))>
#<alt (- (+ (* 4 (/ (+ (log (+ (* -1/24 (PI)) (* 1/8 (PI)))) (* -1 (log (/ 1 f)))) (PI))) (/ 16 (* (pow f 2) (* (pow (PI) 2) (+ (* -1/24 (PI)) (* 1/8 (PI))))))) (/ 32 (* (pow f 4) (* (pow (PI) 3) (pow (+ (* -1/24 (PI)) (* 1/8 (PI))) 2)))))>
#<alt (- (+ (* 4 (/ (+ (log (+ (* -1/24 (PI)) (* 1/8 (PI)))) (* -1 (log (/ 1 f)))) (PI))) (+ (* 256/3 (/ 1 (* (pow f 6) (* (pow (PI) 4) (pow (+ (* -1/24 (PI)) (* 1/8 (PI))) 3))))) (/ 16 (* (pow f 2) (* (pow (PI) 2) (+ (* -1/24 (PI)) (* 1/8 (PI)))))))) (* 32 (/ 1 (* (pow f 4) (* (pow (PI) 3) (pow (+ (* -1/24 (PI)) (* 1/8 (PI))) 2))))))>
#<alt (* 4 (/ (+ (log (* -1 (+ (* -1/24 (PI)) (* 1/8 (PI))))) (* -1 (log (/ -1 f)))) (PI)))>
#<alt (+ (* 4 (/ (+ (log (* -1 (+ (* -1/24 (PI)) (* 1/8 (PI))))) (* -1 (log (/ -1 f)))) (PI))) (* 16 (/ 1 (* (pow f 2) (* (pow (PI) 2) (+ (* -1/24 (PI)) (* 1/8 (PI))))))))>
#<alt (- (+ (* 4 (/ (+ (log (* -1 (+ (* -1/24 (PI)) (* 1/8 (PI))))) (* -1 (log (/ -1 f)))) (PI))) (/ 16 (* (pow f 2) (* (pow (PI) 2) (+ (* -1/24 (PI)) (* 1/8 (PI))))))) (/ 32 (* (pow f 4) (* (pow (PI) 3) (pow (+ (* -1/24 (PI)) (* 1/8 (PI))) 2)))))>
#<alt (- (+ (* 4 (/ (+ (log (* -1 (+ (* -1/24 (PI)) (* 1/8 (PI))))) (* -1 (log (/ -1 f)))) (PI))) (+ (* 256/3 (/ 1 (* (pow f 6) (* (pow (PI) 4) (pow (+ (* -1/24 (PI)) (* 1/8 (PI))) 3))))) (/ 16 (* (pow f 2) (* (pow (PI) 2) (+ (* -1/24 (PI)) (* 1/8 (PI)))))))) (* 32 (/ 1 (* (pow f 4) (* (pow (PI) 3) (pow (+ (* -1/24 (PI)) (* 1/8 (PI))) 2))))))>
#<alt (* -4 (/ (+ (log f) (log (* 1/4 (PI)))) (PI)))>
#<alt (* -4 (/ (+ (log f) (log (* 1/4 (PI)))) (PI)))>
#<alt (* -4 (/ (+ (log f) (log (* 1/4 (PI)))) (PI)))>
#<alt (* -4 (/ (+ (log f) (log (* 1/4 (PI)))) (PI)))>
#<alt (* -4 (/ (+ (log (* 1/4 (PI))) (* -1 (log (/ 1 f)))) (PI)))>
#<alt (* -4 (/ (+ (log (* 1/4 (PI))) (* -1 (log (/ 1 f)))) (PI)))>
#<alt (* -4 (/ (+ (log (* 1/4 (PI))) (* -1 (log (/ 1 f)))) (PI)))>
#<alt (* -4 (/ (+ (log (* 1/4 (PI))) (* -1 (log (/ 1 f)))) (PI)))>
#<alt (* -4 (/ (+ (log -1) (+ (log (* 1/4 (PI))) (* -1 (log (/ -1 f))))) (PI)))>
#<alt (* -4 (/ (+ (log -1) (+ (log (* 1/4 (PI))) (* -1 (log (/ -1 f))))) (PI)))>
#<alt (* -4 (/ (+ (log -1) (+ (log (* 1/4 (PI))) (* -1 (log (/ -1 f))))) (PI)))>
#<alt (* -4 (/ (+ (log -1) (+ (log (* 1/4 (PI))) (* -1 (log (/ -1 f))))) (PI)))>
#<alt (* -1 (+ (log f) (log (* 1/4 (PI)))))>
#<alt (* -1 (+ (log f) (log (* 1/4 (PI)))))>
#<alt (* -1 (+ (log f) (log (* 1/4 (PI)))))>
#<alt (* -1 (+ (log f) (log (* 1/4 (PI)))))>
#<alt (* -1 (+ (log (* 1/4 (PI))) (* -1 (log (/ 1 f)))))>
#<alt (* -1 (+ (log (* 1/4 (PI))) (* -1 (log (/ 1 f)))))>
#<alt (* -1 (+ (log (* 1/4 (PI))) (* -1 (log (/ 1 f)))))>
#<alt (* -1 (+ (log (* 1/4 (PI))) (* -1 (log (/ 1 f)))))>
#<alt (* -1 (+ (log -1) (+ (log (* 1/4 (PI))) (* -1 (log (/ -1 f))))))>
#<alt (* -1 (+ (log -1) (+ (log (* 1/4 (PI))) (* -1 (log (/ -1 f))))))>
#<alt (* -1 (+ (log -1) (+ (log (* 1/4 (PI))) (* -1 (log (/ -1 f))))))>
#<alt (* -1 (+ (log -1) (+ (log (* 1/4 (PI))) (* -1 (log (/ -1 f))))))>
Calls

27 calls:

TimeVariablePointExpression
60.0ms
f
@-inf
(* (/ 1 (/ (PI) 4)) (log (/ 2 (* f (* (PI) 1/2)))))
43.0ms
f
@0
(/ (* 4 (- (neg (log (* 1/4 (PI)))) (log f))) (PI))
21.0ms
f
@0
(* (/ 1 (/ (PI) 4)) (log (/ 2 (* f (* (PI) 1/2)))))
15.0ms
f
@-inf
(/ (* 4 (- (neg (log (* 1/4 (PI)))) (log f))) (PI))
7.0ms
f
@inf
(* (/ 1 (/ (PI) 4)) (log (/ 2 (* f (* (PI) 1/2)))))

rewrite351.0ms (2.1%)

Memory
14.9MiB live, 726.9MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
5 078×lower-*.f32
5 042×lower-*.f64
4 422×lower-fma.f32
4 414×lower-fma.f64
3 214×lower-/.f32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
054172
0100158
1349134
22721130
08846130
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
17 → 605
Calls
Call 1
Inputs
(*.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/192 binary64)))
(*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/192 binary64))
(pow.f64 (PI.f64) #s(literal 5 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 f (fma.f64 (*.f64 f f) (fma.f64 f (*.f64 f (*.f64 (pow.f64 (PI.f64) #s(literal 5 binary64)) #s(literal 1/61440 binary64))) (*.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/192 binary64)))) (*.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 2 binary64) (*.f64 f (*.f64 (PI.f64) #s(literal 1/2 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 (PI.f64) #s(literal 1/48 binary64))
(fma.f64 (*.f64 (PI.f64) #s(literal 1/48 binary64)) #s(literal -2 binary64) (*.f64 (PI.f64) #s(literal 1/8 binary64)))
(*.f64 f (fma.f64 (*.f64 (PI.f64) #s(literal 1/48 binary64)) #s(literal -2 binary64) (*.f64 (PI.f64) #s(literal 1/8 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (fma.f64 f (*.f64 f (fma.f64 (*.f64 (PI.f64) #s(literal 1/48 binary64)) #s(literal -2 binary64) (*.f64 (PI.f64) #s(literal 1/8 binary64)))) (/.f64 #s(literal 4 binary64) (PI.f64))) f)))
(log.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)))
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (neg.f64 (log.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)))) (log.f64 f))) (PI.f64))
(-.f64 (neg.f64 (log.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)))) (log.f64 f))
(PI.f64)
(*.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (fma.f64 (*.f64 (PI.f64) #s(literal 1/48 binary64)) #s(literal -2 binary64) (*.f64 (PI.f64) #s(literal 1/8 binary64))))
Outputs
(*.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/192 binary64)))
(*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) #s(literal 1/192 binary64)))
(*.f64 #s(literal 1/192 binary64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))))
(*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/192 binary64)) (PI.f64))
(*.f64 #s(literal 1 binary64) (*.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/192 binary64))))
(*.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (*.f64 (cbrt.f64 (PI.f64)) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/192 binary64))))
(*.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/192 binary64))))
(*.f64 (*.f64 (PI.f64) #s(literal 1/192 binary64)) (*.f64 (PI.f64) (PI.f64)))
(*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/192 binary64))
(*.f64 (*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/192 binary64)) #s(literal 1 binary64)) (PI.f64))
(*.f64 (*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/192 binary64)) (pow.f64 (PI.f64) #s(literal 2/3 binary64))) (cbrt.f64 (PI.f64)))
(*.f64 (*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/192 binary64)) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)))
(*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/192 binary64)))
(*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/192 binary64))
(*.f64 #s(literal 1/192 binary64) (*.f64 (PI.f64) (PI.f64)))
(*.f64 #s(literal 1 binary64) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/192 binary64)))
(*.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (*.f64 (cbrt.f64 (PI.f64)) (*.f64 (PI.f64) #s(literal 1/192 binary64))))
(*.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) (*.f64 (PI.f64) #s(literal 1/192 binary64))))
(*.f64 (*.f64 (PI.f64) #s(literal 1/192 binary64)) (PI.f64))
(exp.f64 (*.f64 #s(literal 5 binary64) (log.f64 (PI.f64))))
(exp.f64 (*.f64 (log.f64 (*.f64 (PI.f64) (PI.f64))) #s(literal 5/2 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (sqrt.f64 (PI.f64)))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 (PI.f64)) #s(literal 2 binary64)) #s(literal 5/2 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 (PI.f64)) #s(literal 5/2 binary64)) #s(literal 2 binary64)))
(exp.f64 (fma.f64 (log.f64 (PI.f64)) #s(literal 5/2 binary64) (*.f64 (log.f64 (PI.f64)) #s(literal 5/2 binary64))))
(pow.f64 (PI.f64) #s(literal 5 binary64))
(pow.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 5/2 binary64))
(pow.f64 (cbrt.f64 (PI.f64)) #s(literal 15 binary64))
(pow.f64 (sqrt.f64 (PI.f64)) #s(literal 10 binary64))
(pow.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (sqrt.f64 (PI.f64))) #s(literal 2 binary64))
(pow.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 5/3 binary64))
(pow.f64 (exp.f64 #s(literal 5 binary64)) (log.f64 (PI.f64)))
(*.f64 (*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (sqrt.f64 (PI.f64))) (*.f64 (*.f64 (PI.f64) (PI.f64)) (sqrt.f64 (PI.f64)))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (sqrt.f64 (PI.f64))) (*.f64 (*.f64 (PI.f64) (PI.f64)) (sqrt.f64 (PI.f64)))))
(*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (sqrt.f64 (PI.f64))) (*.f64 (*.f64 (PI.f64) (PI.f64)) (sqrt.f64 (PI.f64))))
(*.f64 (pow.f64 (PI.f64) #s(literal 5/3 binary64)) (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 10 binary64)))
(*.f64 (pow.f64 (PI.f64) #s(literal 5/3 binary64)) (pow.f64 (pow.f64 (PI.f64) #s(literal 4/3 binary64)) #s(literal 5/2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 10 binary64)) (pow.f64 (PI.f64) #s(literal 5/3 binary64)))
(*.f64 (pow.f64 (PI.f64) #s(literal 5/4 binary64)) (pow.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64))) #s(literal 5/2 binary64)))
(*.f64 (pow.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64))) #s(literal 5/2 binary64)) (pow.f64 (PI.f64) #s(literal 5/4 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (PI.f64)))) #s(literal 5/2 binary64)) (pow.f64 (PI.f64) #s(literal 5/3 binary64)))
(*.f64 (pow.f64 (pow.f64 (PI.f64) #s(literal 5/3 binary64)) #s(literal 5/2 binary64)) (pow.f64 (PI.f64) #s(literal 5/6 binary64)))
(*.f64 (pow.f64 (pow.f64 (PI.f64) #s(literal 5/3 binary64)) #s(literal 2 binary64)) (pow.f64 (pow.f64 (PI.f64) #s(literal 5/6 binary64)) #s(literal 2 binary64)))
(log.f64 (/.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (*.f64 f (fma.f64 (*.f64 f f) (fma.f64 (*.f64 (*.f64 f f) #s(literal 1/61440 binary64)) (*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (sqrt.f64 (PI.f64))) (*.f64 (*.f64 (PI.f64) (PI.f64)) (sqrt.f64 (PI.f64)))) (*.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/192 binary64)))) (*.f64 (PI.f64) #s(literal 1/2 binary64))))))
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(/.f64 (neg.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (fma.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal -1/13824 binary64) (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/512 binary64))))) (neg.f64 (fma.f64 (*.f64 (PI.f64) #s(literal 1/8 binary64)) (-.f64 (*.f64 (PI.f64) #s(literal 1/8 binary64)) (*.f64 (PI.f64) #s(literal -1/24 binary64))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/576 binary64)))))
(/.f64 (neg.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (*.f64 (PI.f64) #s(literal 1/12 binary64)) (*.f64 (PI.f64) #s(literal -1/6 binary64))))) (neg.f64 (*.f64 (PI.f64) #s(literal -1/6 binary64))))
(/.f64 (neg.f64 (*.f64 (fma.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal -1/13824 binary64) (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/512 binary64))) (*.f64 (PI.f64) #s(literal 1/2 binary64)))) (neg.f64 (fma.f64 (*.f64 (PI.f64) #s(literal 1/8 binary64)) (-.f64 (*.f64 (PI.f64) #s(literal 1/8 binary64)) (*.f64 (PI.f64) #s(literal -1/24 binary64))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/576 binary64)))))
(/.f64 (neg.f64 (*.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/12 binary64)) (*.f64 (PI.f64) #s(literal -1/6 binary64))) (*.f64 (PI.f64) #s(literal 1/2 binary64)))) (neg.f64 (*.f64 (PI.f64) #s(literal -1/6 binary64))))
(*.f64 (PI.f64) (*.f64 #s(literal 1/2 binary64) (*.f64 (PI.f64) #s(literal 1/12 binary64))))
(*.f64 #s(literal 1/2 binary64) (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/12 binary64))))
(*.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (PI.f64) #s(literal 1/12 binary64)))
(*.f64 #s(literal 1 binary64) (*.f64 (PI.f64) (*.f64 #s(literal 1/2 binary64) (*.f64 (PI.f64) #s(literal 1/12 binary64)))))
(*.f64 (*.f64 (PI.f64) #s(literal 1/12 binary64)) (*.f64 (PI.f64) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (*.f64 (cbrt.f64 (PI.f64)) (*.f64 #s(literal 1/2 binary64) (*.f64 (PI.f64) #s(literal 1/12 binary64)))))
(*.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) (*.f64 #s(literal 1/2 binary64) (*.f64 (PI.f64) #s(literal 1/12 binary64)))))
(*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (PI.f64) #s(literal 1/12 binary64))) (PI.f64))
(*.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/12 binary64)) (PI.f64)) #s(literal 1/2 binary64))

simplify470.0ms (2.9%)

Memory
-26.6MiB live, 666.1MiB allocated
Algorithm
1×egg-herbie
Rules
12 332×lower-fma.f64
12 332×lower-fma.f32
4 776×lower-*.f64
4 776×lower-*.f32
3 678×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02561912
17711828
227361814
375171814
080411770
Stop Event
1×iter limit
1×node limit
Counts
108 → 108
Calls
Call 1
Inputs
(+ (log (/ 4 (PI))) (* -1 (log f)))
(+ (log (/ 4 (PI))) (+ (* -1 (log f)) (* 1/2 (* f (+ (* -1/4 (PI)) (* 1/4 (PI)))))))
(+ (log (/ 4 (PI))) (+ (* -1 (log f)) (* f (+ (* 1/2 (* f (+ (* -1/4 (pow (+ (* -1/4 (PI)) (* 1/4 (PI))) 2)) (* 1/2 (* (PI) (- (* 1/8 (PI)) (* 1/24 (PI)))))))) (* 1/2 (+ (* -1/4 (PI)) (* 1/4 (PI))))))))
(+ (log (/ 4 (PI))) (+ (* -1 (log f)) (* f (+ (* 1/2 (+ (* -1/4 (PI)) (* 1/4 (PI)))) (* f (+ (* 1/6 (* f (+ (* -3/4 (* (PI) (* (+ (* -1/4 (PI)) (* 1/4 (PI))) (- (* 1/8 (PI)) (* 1/24 (PI)))))) (+ (* 1/4 (pow (+ (* -1/4 (PI)) (* 1/4 (PI))) 3)) (* 3/2 (* (PI) (- (* 2 (/ (+ (* -1/384 (pow (PI) 3)) (* 1/384 (pow (PI) 3))) (PI))) (* 1/48 (* (PI) (+ (* -1/4 (PI)) (* 1/4 (PI)))))))))))) (* 1/2 (+ (* -1/4 (pow (+ (* -1/4 (PI)) (* 1/4 (PI))) 2)) (* 1/2 (* (PI) (- (* 1/8 (PI)) (* 1/24 (PI)))))))))))))
(+ (log (* 61440 (/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (pow (PI) 5)))) (* 5 (log (/ 1 f))))
(- (+ (log (* 61440 (/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (pow (PI) 5)))) (* 5 (log (/ 1 f)))) (* 320 (/ 1 (* (pow f 2) (pow (PI) 2)))))
(- (+ (log (* 61440 (/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (pow (PI) 5)))) (+ (* 1/24 (/ (- (* -1/2560 (/ (* (pow (PI) 5) (+ (* -6291456000 (/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (pow (PI) 9))) (* 1887436800 (/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (pow (PI) 9))))) (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))))) (* 1228800 (/ 1 (pow (PI) 4)))) (pow f 4))) (* 5 (log (/ 1 f))))) (/ 320 (* (pow f 2) (pow (PI) 2))))
(- (+ (log (* 61440 (/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (pow (PI) 5)))) (+ (* 1/720 (/ (- (+ (* -15/4 (/ (* (pow (PI) 3) (+ (* -6291456000 (/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (pow (PI) 9))) (* 1887436800 (/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (pow (PI) 9))))) (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))))) (* -3/256 (/ (* (pow (PI) 5) (+ (* -603979776000 (/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (pow (PI) 11))) (* -320 (/ (+ (* -6291456000 (/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (pow (PI) 9))) (* 1887436800 (/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (pow (PI) 9)))) (pow (PI) 2))))) (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI)))))))) (* 7864320000 (/ 1 (pow (PI) 6)))) (pow f 6))) (+ (* 1/24 (/ (- (* -1/2560 (/ (* (pow (PI) 5) (+ (* -6291456000 (/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (pow (PI) 9))) (* 1887436800 (/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (pow (PI) 9))))) (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))))) (* 1228800 (/ 1 (pow (PI) 4)))) (pow f 4))) (* 5 (log (/ 1 f)))))) (/ 320 (* (pow f 2) (pow (PI) 2))))
(+ (log (* -61440 (/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (pow (PI) 5)))) (* 5 (log (/ -1 f))))
(- (+ (log (* -61440 (/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (pow (PI) 5)))) (* 5 (log (/ -1 f)))) (* 320 (/ 1 (* (pow f 2) (pow (PI) 2)))))
(- (+ (log (* -61440 (/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (pow (PI) 5)))) (+ (* 1/24 (/ (- (* -1/2560 (/ (* (pow (PI) 5) (+ (* -6291456000 (/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (pow (PI) 9))) (* 1887436800 (/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (pow (PI) 9))))) (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))))) (* 1228800 (/ 1 (pow (PI) 4)))) (pow f 4))) (* 5 (log (/ -1 f))))) (/ 320 (* (pow f 2) (pow (PI) 2))))
(- (+ (log (* -61440 (/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (pow (PI) 5)))) (+ (* 1/720 (/ (- (+ (* -15/4 (/ (* (pow (PI) 3) (+ (* -6291456000 (/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (pow (PI) 9))) (* 1887436800 (/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (pow (PI) 9))))) (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))))) (* -3/256 (/ (* (pow (PI) 5) (+ (* -603979776000 (/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (pow (PI) 11))) (* -320 (/ (+ (* -6291456000 (/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (pow (PI) 9))) (* 1887436800 (/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (pow (PI) 9)))) (pow (PI) 2))))) (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI)))))))) (* 7864320000 (/ 1 (pow (PI) 6)))) (pow f 6))) (+ (* 1/24 (/ (- (* -1/2560 (/ (* (pow (PI) 5) (+ (* -6291456000 (/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (pow (PI) 9))) (* 1887436800 (/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (pow (PI) 9))))) (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))))) (* 1228800 (/ 1 (pow (PI) 4)))) (pow f 4))) (* 5 (log (/ -1 f)))))) (/ 320 (* (pow f 2) (pow (PI) 2))))
(* 4 (/ (+ (log (/ 4 (PI))) (* -1 (log f))) (PI)))
(* 4 (/ (+ (log (/ 4 (PI))) (* -1 (log f))) (PI)))
(* 4 (/ (+ (log (/ 4 (PI))) (* -1 (log f))) (PI)))
(* 4 (/ (+ (log (/ 4 (PI))) (* -1 (log f))) (PI)))
(* 4 (/ (+ (log (/ 1 f)) (log (/ 4 (PI)))) (PI)))
(* 4 (/ (+ (log (/ 1 f)) (log (/ 4 (PI)))) (PI)))
(* 4 (/ (+ (log (/ 1 f)) (log (/ 4 (PI)))) (PI)))
(* 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 (PI)))
(/ 4 (* f (PI)))
(/ 4 (* f (PI)))
(/ 4 (* f (PI)))
(/ 4 (* f (PI)))
(/ 4 (* f (PI)))
(/ 4 (* f (PI)))
(/ 4 (* f (PI)))
(/ 4 (* f (PI)))
(/ 4 (* f (PI)))
(/ 4 (* f (PI)))
(/ 4 (* f (PI)))
(* 1/2 (* f (PI)))
(* 1/2 (* f (PI)))
(* 1/2 (* f (PI)))
(* 1/2 (* f (PI)))
(* 1/2 (* f (PI)))
(* 1/2 (* f (PI)))
(* 1/2 (* f (PI)))
(* 1/2 (* f (PI)))
(* 1/2 (* f (PI)))
(* 1/2 (* f (PI)))
(* 1/2 (* f (PI)))
(* 1/2 (* f (PI)))
(+ (log (/ 4 (PI))) (* -1 (log f)))
(+ (log (/ 4 (PI))) (* -1 (log f)))
(+ (log (/ 4 (PI))) (* -1 (log f)))
(+ (log (/ 4 (PI))) (* -1 (log f)))
(+ (log (/ 1 f)) (log (/ 4 (PI))))
(+ (log (/ 1 f)) (log (/ 4 (PI))))
(+ (log (/ 1 f)) (log (/ 4 (PI))))
(+ (log (/ 1 f)) (log (/ 4 (PI))))
(+ (log (/ -4 (PI))) (log (/ -1 f)))
(+ (log (/ -4 (PI))) (log (/ -1 f)))
(+ (log (/ -4 (PI))) (log (/ -1 f)))
(+ (log (/ -4 (PI))) (log (/ -1 f)))
(* f (+ (* -1/24 (PI)) (* 1/8 (PI))))
(* f (+ (* -1/24 (PI)) (* 1/8 (PI))))
(* f (+ (* -1/24 (PI)) (* 1/8 (PI))))
(* f (+ (* -1/24 (PI)) (* 1/8 (PI))))
(* f (+ (* -1/24 (PI)) (* 1/8 (PI))))
(* f (+ (* -1/24 (PI)) (* 1/8 (PI))))
(* f (+ (* -1/24 (PI)) (* 1/8 (PI))))
(* f (+ (* -1/24 (PI)) (* 1/8 (PI))))
(* f (+ (* -1/24 (PI)) (* 1/8 (PI))))
(* f (+ (* -1/24 (PI)) (* 1/8 (PI))))
(* f (+ (* -1/24 (PI)) (* 1/8 (PI))))
(* f (+ (* -1/24 (PI)) (* 1/8 (PI))))
(* 4 (/ (+ (log (/ 4 (PI))) (* -1 (log f))) (PI)))
(+ (* 4 (/ (+ (log (/ 4 (PI))) (* -1 (log f))) (PI))) (* (pow f 2) (+ (* -1/24 (PI)) (* 1/8 (PI)))))
(+ (* 4 (/ (+ (log (/ 4 (PI))) (* -1 (log f))) (PI))) (* (pow f 2) (+ (* -1/8 (* (pow f 2) (* (PI) (pow (+ (* -1/24 (PI)) (* 1/8 (PI))) 2)))) (+ (* -1/24 (PI)) (* 1/8 (PI))))))
(+ (* 4 (/ (+ (log (/ 4 (PI))) (* -1 (log f))) (PI))) (* (pow f 2) (+ (* -1/24 (PI)) (+ (* 1/8 (PI)) (* (pow f 2) (+ (* -1/8 (* (PI) (pow (+ (* -1/24 (PI)) (* 1/8 (PI))) 2))) (* 1/48 (* (pow f 2) (* (pow (PI) 2) (pow (+ (* -1/24 (PI)) (* 1/8 (PI))) 3))))))))))
(* 4 (/ (+ (log (+ (* -1/24 (PI)) (* 1/8 (PI)))) (* -1 (log (/ 1 f)))) (PI)))
(+ (* 4 (/ (+ (log (+ (* -1/24 (PI)) (* 1/8 (PI)))) (* -1 (log (/ 1 f)))) (PI))) (* 16 (/ 1 (* (pow f 2) (* (pow (PI) 2) (+ (* -1/24 (PI)) (* 1/8 (PI))))))))
(- (+ (* 4 (/ (+ (log (+ (* -1/24 (PI)) (* 1/8 (PI)))) (* -1 (log (/ 1 f)))) (PI))) (/ 16 (* (pow f 2) (* (pow (PI) 2) (+ (* -1/24 (PI)) (* 1/8 (PI))))))) (/ 32 (* (pow f 4) (* (pow (PI) 3) (pow (+ (* -1/24 (PI)) (* 1/8 (PI))) 2)))))
(- (+ (* 4 (/ (+ (log (+ (* -1/24 (PI)) (* 1/8 (PI)))) (* -1 (log (/ 1 f)))) (PI))) (+ (* 256/3 (/ 1 (* (pow f 6) (* (pow (PI) 4) (pow (+ (* -1/24 (PI)) (* 1/8 (PI))) 3))))) (/ 16 (* (pow f 2) (* (pow (PI) 2) (+ (* -1/24 (PI)) (* 1/8 (PI)))))))) (* 32 (/ 1 (* (pow f 4) (* (pow (PI) 3) (pow (+ (* -1/24 (PI)) (* 1/8 (PI))) 2))))))
(* 4 (/ (+ (log (* -1 (+ (* -1/24 (PI)) (* 1/8 (PI))))) (* -1 (log (/ -1 f)))) (PI)))
(+ (* 4 (/ (+ (log (* -1 (+ (* -1/24 (PI)) (* 1/8 (PI))))) (* -1 (log (/ -1 f)))) (PI))) (* 16 (/ 1 (* (pow f 2) (* (pow (PI) 2) (+ (* -1/24 (PI)) (* 1/8 (PI))))))))
(- (+ (* 4 (/ (+ (log (* -1 (+ (* -1/24 (PI)) (* 1/8 (PI))))) (* -1 (log (/ -1 f)))) (PI))) (/ 16 (* (pow f 2) (* (pow (PI) 2) (+ (* -1/24 (PI)) (* 1/8 (PI))))))) (/ 32 (* (pow f 4) (* (pow (PI) 3) (pow (+ (* -1/24 (PI)) (* 1/8 (PI))) 2)))))
(- (+ (* 4 (/ (+ (log (* -1 (+ (* -1/24 (PI)) (* 1/8 (PI))))) (* -1 (log (/ -1 f)))) (PI))) (+ (* 256/3 (/ 1 (* (pow f 6) (* (pow (PI) 4) (pow (+ (* -1/24 (PI)) (* 1/8 (PI))) 3))))) (/ 16 (* (pow f 2) (* (pow (PI) 2) (+ (* -1/24 (PI)) (* 1/8 (PI)))))))) (* 32 (/ 1 (* (pow f 4) (* (pow (PI) 3) (pow (+ (* -1/24 (PI)) (* 1/8 (PI))) 2))))))
(* -4 (/ (+ (log f) (log (* 1/4 (PI)))) (PI)))
(* -4 (/ (+ (log f) (log (* 1/4 (PI)))) (PI)))
(* -4 (/ (+ (log f) (log (* 1/4 (PI)))) (PI)))
(* -4 (/ (+ (log f) (log (* 1/4 (PI)))) (PI)))
(* -4 (/ (+ (log (* 1/4 (PI))) (* -1 (log (/ 1 f)))) (PI)))
(* -4 (/ (+ (log (* 1/4 (PI))) (* -1 (log (/ 1 f)))) (PI)))
(* -4 (/ (+ (log (* 1/4 (PI))) (* -1 (log (/ 1 f)))) (PI)))
(* -4 (/ (+ (log (* 1/4 (PI))) (* -1 (log (/ 1 f)))) (PI)))
(* -4 (/ (+ (log -1) (+ (log (* 1/4 (PI))) (* -1 (log (/ -1 f))))) (PI)))
(* -4 (/ (+ (log -1) (+ (log (* 1/4 (PI))) (* -1 (log (/ -1 f))))) (PI)))
(* -4 (/ (+ (log -1) (+ (log (* 1/4 (PI))) (* -1 (log (/ -1 f))))) (PI)))
(* -4 (/ (+ (log -1) (+ (log (* 1/4 (PI))) (* -1 (log (/ -1 f))))) (PI)))
(* -1 (+ (log f) (log (* 1/4 (PI)))))
(* -1 (+ (log f) (log (* 1/4 (PI)))))
(* -1 (+ (log f) (log (* 1/4 (PI)))))
(* -1 (+ (log f) (log (* 1/4 (PI)))))
(* -1 (+ (log (* 1/4 (PI))) (* -1 (log (/ 1 f)))))
(* -1 (+ (log (* 1/4 (PI))) (* -1 (log (/ 1 f)))))
(* -1 (+ (log (* 1/4 (PI))) (* -1 (log (/ 1 f)))))
(* -1 (+ (log (* 1/4 (PI))) (* -1 (log (/ 1 f)))))
(* -1 (+ (log -1) (+ (log (* 1/4 (PI))) (* -1 (log (/ -1 f))))))
(* -1 (+ (log -1) (+ (log (* 1/4 (PI))) (* -1 (log (/ -1 f))))))
(* -1 (+ (log -1) (+ (log (* 1/4 (PI))) (* -1 (log (/ -1 f))))))
(* -1 (+ (log -1) (+ (log (* 1/4 (PI))) (* -1 (log (/ -1 f))))))
Outputs
(+ (log (/ 4 (PI))) (* -1 (log f)))
(-.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (log.f64 f))
(+ (log (/ 4 (PI))) (+ (* -1 (log f)) (* 1/2 (* f (+ (* -1/4 (PI)) (* 1/4 (PI)))))))
(-.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (log.f64 f))
(+ (log (/ 4 (PI))) (+ (* -1 (log f)) (* f (+ (* 1/2 (* f (+ (* -1/4 (pow (+ (* -1/4 (PI)) (* 1/4 (PI))) 2)) (* 1/2 (* (PI) (- (* 1/8 (PI)) (* 1/24 (PI)))))))) (* 1/2 (+ (* -1/4 (PI)) (* 1/4 (PI))))))))
(-.f64 (fma.f64 (*.f64 f f) (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/12 binary64)))) (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64)))) (log.f64 f))
(+ (log (/ 4 (PI))) (+ (* -1 (log f)) (* f (+ (* 1/2 (+ (* -1/4 (PI)) (* 1/4 (PI)))) (* f (+ (* 1/6 (* f (+ (* -3/4 (* (PI) (* (+ (* -1/4 (PI)) (* 1/4 (PI))) (- (* 1/8 (PI)) (* 1/24 (PI)))))) (+ (* 1/4 (pow (+ (* -1/4 (PI)) (* 1/4 (PI))) 3)) (* 3/2 (* (PI) (- (* 2 (/ (+ (* -1/384 (pow (PI) 3)) (* 1/384 (pow (PI) 3))) (PI))) (* 1/48 (* (PI) (+ (* -1/4 (PI)) (* 1/4 (PI)))))))))))) (* 1/2 (+ (* -1/4 (pow (+ (* -1/4 (PI)) (* 1/4 (PI))) 2)) (* 1/2 (* (PI) (- (* 1/8 (PI)) (* 1/24 (PI)))))))))))))
(-.f64 (fma.f64 (*.f64 f f) (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/12 binary64)))) (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64)))) (log.f64 f))
(+ (log (* 61440 (/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (pow (PI) 5)))) (* 5 (log (/ 1 f))))
(fma.f64 (log.f64 f) #s(literal -5 binary64) (log.f64 (*.f64 (+.f64 (exp.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (PI.f64) f))) (exp.f64 (*.f64 (PI.f64) (*.f64 f #s(literal 1/4 binary64))))) (/.f64 #s(literal 61440 binary64) (pow.f64 (PI.f64) #s(literal 5 binary64))))))
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(-.f64 (log.f64 (/.f64 #s(literal -1 binary64) f)) (+.f64 (log.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64))) (log.f64 #s(literal -1 binary64))))
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(-.f64 (log.f64 (/.f64 #s(literal -1 binary64) f)) (+.f64 (log.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64))) (log.f64 #s(literal -1 binary64))))

simplify96.0ms (0.6%)

Memory
25.2MiB live, 180.0MiB allocated
Algorithm
1×egg-herbie
Rules
2×1-exp
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0112010350
1112110350
0112110350
Stop Event
1×saturated
1×saturated
Counts
605 → 0
Calls
Call 1
Inputs
(*.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/192 binary64)))
(*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) #s(literal 1/192 binary64)))
(*.f64 #s(literal 1/192 binary64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))))
(*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/192 binary64)) (PI.f64))
(*.f64 #s(literal 1 binary64) (*.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/192 binary64))))
(*.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (*.f64 (cbrt.f64 (PI.f64)) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/192 binary64))))
(*.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/192 binary64))))
(*.f64 (*.f64 (PI.f64) #s(literal 1/192 binary64)) (*.f64 (PI.f64) (PI.f64)))
(*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/192 binary64))
(*.f64 (*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/192 binary64)) #s(literal 1 binary64)) (PI.f64))
(*.f64 (*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/192 binary64)) (pow.f64 (PI.f64) #s(literal 2/3 binary64))) (cbrt.f64 (PI.f64)))
(*.f64 (*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/192 binary64)) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)))
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(exp.f64 (*.f64 (log.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (sqrt.f64 (PI.f64)))) #s(literal 2 binary64)))
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(exp.f64 (*.f64 (*.f64 (log.f64 (PI.f64)) #s(literal 5/2 binary64)) #s(literal 2 binary64)))
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(pow.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (sqrt.f64 (PI.f64))) #s(literal 2 binary64))
(pow.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 5/3 binary64))
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(/.f64 (neg.f64 (fma.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal -1/13824 binary64)) (*.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/512 binary64))))) (neg.f64 (fma.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/2 binary64) (*.f64 (PI.f64) #s(literal -1/24 binary64)))) (*.f64 (PI.f64) (*.f64 #s(literal 1/2 binary64) (*.f64 (PI.f64) #s(literal -1/24 binary64)))) (-.f64 (*.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/8 binary64) (*.f64 (PI.f64) #s(literal 1/2 binary64)))) (*.f64 (PI.f64) (*.f64 #s(literal 1/8 binary64) (*.f64 (PI.f64) #s(literal 1/2 binary64))))) (*.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/2 binary64) (*.f64 (PI.f64) #s(literal -1/24 binary64)))) (*.f64 (PI.f64) (*.f64 #s(literal 1/8 binary64) (*.f64 (PI.f64) #s(literal 1/2 binary64)))))))))
(/.f64 (neg.f64 (-.f64 (*.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/2 binary64) (*.f64 (PI.f64) #s(literal -1/24 binary64)))) (*.f64 (PI.f64) (*.f64 #s(literal 1/2 binary64) (*.f64 (PI.f64) #s(literal -1/24 binary64))))) (*.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/8 binary64) (*.f64 (PI.f64) #s(literal 1/2 binary64)))) (*.f64 (PI.f64) (*.f64 #s(literal 1/8 binary64) (*.f64 (PI.f64) #s(literal 1/2 binary64))))))) (neg.f64 (-.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/2 binary64) (*.f64 (PI.f64) #s(literal -1/24 binary64)))) (*.f64 (PI.f64) (*.f64 #s(literal 1/8 binary64) (*.f64 (PI.f64) #s(literal 1/2 binary64)))))))
(/.f64 (neg.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (fma.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal -1/13824 binary64) (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/512 binary64))))) (neg.f64 (fma.f64 (*.f64 (PI.f64) #s(literal 1/8 binary64)) (-.f64 (*.f64 (PI.f64) #s(literal 1/8 binary64)) (*.f64 (PI.f64) #s(literal -1/24 binary64))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/576 binary64)))))
(/.f64 (neg.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (*.f64 (PI.f64) #s(literal 1/12 binary64)) (*.f64 (PI.f64) #s(literal -1/6 binary64))))) (neg.f64 (*.f64 (PI.f64) #s(literal -1/6 binary64))))
(/.f64 (neg.f64 (*.f64 (fma.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal -1/13824 binary64) (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/512 binary64))) (*.f64 (PI.f64) #s(literal 1/2 binary64)))) (neg.f64 (fma.f64 (*.f64 (PI.f64) #s(literal 1/8 binary64)) (-.f64 (*.f64 (PI.f64) #s(literal 1/8 binary64)) (*.f64 (PI.f64) #s(literal -1/24 binary64))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/576 binary64)))))
(/.f64 (neg.f64 (*.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/12 binary64)) (*.f64 (PI.f64) #s(literal -1/6 binary64))) (*.f64 (PI.f64) #s(literal 1/2 binary64)))) (neg.f64 (*.f64 (PI.f64) #s(literal -1/6 binary64))))
(*.f64 (PI.f64) (*.f64 #s(literal 1/2 binary64) (*.f64 (PI.f64) #s(literal 1/12 binary64))))
(*.f64 #s(literal 1/2 binary64) (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/12 binary64))))
(*.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (PI.f64) #s(literal 1/12 binary64)))
(*.f64 #s(literal 1 binary64) (*.f64 (PI.f64) (*.f64 #s(literal 1/2 binary64) (*.f64 (PI.f64) #s(literal 1/12 binary64)))))
(*.f64 (*.f64 (PI.f64) #s(literal 1/12 binary64)) (*.f64 (PI.f64) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (*.f64 (cbrt.f64 (PI.f64)) (*.f64 #s(literal 1/2 binary64) (*.f64 (PI.f64) #s(literal 1/12 binary64)))))
(*.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) (*.f64 #s(literal 1/2 binary64) (*.f64 (PI.f64) #s(literal 1/12 binary64)))))
(*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (PI.f64) #s(literal 1/12 binary64))) (PI.f64))
(*.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/12 binary64)) (PI.f64)) #s(literal 1/2 binary64))
Outputs
(*.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/192 binary64)))
(*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) #s(literal 1/192 binary64)))
(*.f64 #s(literal 1/192 binary64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))))
(*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/192 binary64)) (PI.f64))
(*.f64 #s(literal 1 binary64) (*.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/192 binary64))))
(*.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (*.f64 (cbrt.f64 (PI.f64)) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/192 binary64))))
(*.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/192 binary64))))
(*.f64 (*.f64 (PI.f64) #s(literal 1/192 binary64)) (*.f64 (PI.f64) (PI.f64)))
(*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/192 binary64))
(*.f64 (*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/192 binary64)) #s(literal 1 binary64)) (PI.f64))
(*.f64 (*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/192 binary64)) (pow.f64 (PI.f64) #s(literal 2/3 binary64))) (cbrt.f64 (PI.f64)))
(*.f64 (*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/192 binary64)) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)))
(*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/192 binary64)))
(*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/192 binary64))
(*.f64 #s(literal 1/192 binary64) (*.f64 (PI.f64) (PI.f64)))
(*.f64 #s(literal 1 binary64) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/192 binary64)))
(*.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (*.f64 (cbrt.f64 (PI.f64)) (*.f64 (PI.f64) #s(literal 1/192 binary64))))
(*.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) (*.f64 (PI.f64) #s(literal 1/192 binary64))))
(*.f64 (*.f64 (PI.f64) #s(literal 1/192 binary64)) (PI.f64))
(exp.f64 (*.f64 #s(literal 5 binary64) (log.f64 (PI.f64))))
(exp.f64 (*.f64 (log.f64 (*.f64 (PI.f64) (PI.f64))) #s(literal 5/2 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (sqrt.f64 (PI.f64)))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 (PI.f64)) #s(literal 2 binary64)) #s(literal 5/2 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 (PI.f64)) #s(literal 5/2 binary64)) #s(literal 2 binary64)))
(exp.f64 (fma.f64 (log.f64 (PI.f64)) #s(literal 5/2 binary64) (*.f64 (log.f64 (PI.f64)) #s(literal 5/2 binary64))))
(pow.f64 (PI.f64) #s(literal 5 binary64))
(pow.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 5/2 binary64))
(pow.f64 (cbrt.f64 (PI.f64)) #s(literal 15 binary64))
(pow.f64 (sqrt.f64 (PI.f64)) #s(literal 10 binary64))
(pow.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (sqrt.f64 (PI.f64))) #s(literal 2 binary64))
(pow.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 5/3 binary64))
(pow.f64 (exp.f64 #s(literal 5 binary64)) (log.f64 (PI.f64)))
(*.f64 (*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (sqrt.f64 (PI.f64))) (*.f64 (*.f64 (PI.f64) (PI.f64)) (sqrt.f64 (PI.f64)))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (sqrt.f64 (PI.f64))) (*.f64 (*.f64 (PI.f64) (PI.f64)) (sqrt.f64 (PI.f64)))))
(*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (sqrt.f64 (PI.f64))) (*.f64 (*.f64 (PI.f64) (PI.f64)) (sqrt.f64 (PI.f64))))
(*.f64 (pow.f64 (PI.f64) #s(literal 5/3 binary64)) (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 10 binary64)))
(*.f64 (pow.f64 (PI.f64) #s(literal 5/3 binary64)) (pow.f64 (pow.f64 (PI.f64) #s(literal 4/3 binary64)) #s(literal 5/2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 10 binary64)) (pow.f64 (PI.f64) #s(literal 5/3 binary64)))
(*.f64 (pow.f64 (PI.f64) #s(literal 5/4 binary64)) (pow.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64))) #s(literal 5/2 binary64)))
(*.f64 (pow.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64))) #s(literal 5/2 binary64)) (pow.f64 (PI.f64) #s(literal 5/4 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (PI.f64)))) #s(literal 5/2 binary64)) (pow.f64 (PI.f64) #s(literal 5/3 binary64)))
(*.f64 (pow.f64 (pow.f64 (PI.f64) #s(literal 5/3 binary64)) #s(literal 5/2 binary64)) (pow.f64 (PI.f64) #s(literal 5/6 binary64)))
(*.f64 (pow.f64 (pow.f64 (PI.f64) #s(literal 5/3 binary64)) #s(literal 2 binary64)) (pow.f64 (pow.f64 (PI.f64) #s(literal 5/6 binary64)) #s(literal 2 binary64)))
(log.f64 (/.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (*.f64 f (fma.f64 (*.f64 f f) (fma.f64 (*.f64 (*.f64 f f) #s(literal 1/61440 binary64)) (*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (sqrt.f64 (PI.f64))) (*.f64 (*.f64 (PI.f64) (PI.f64)) (sqrt.f64 (PI.f64)))) (*.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/192 binary64)))) (*.f64 (PI.f64) #s(literal 1/2 binary64))))))
(+.f64 (log.f64 #s(literal 2 binary64)) (log.f64 (*.f64 (cosh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)) (/.f64 #s(literal 1 binary64) (*.f64 f (fma.f64 (*.f64 f f) (fma.f64 (*.f64 (*.f64 f f) #s(literal 1/61440 binary64)) (*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (sqrt.f64 (PI.f64))) (*.f64 (*.f64 (PI.f64) (PI.f64)) (sqrt.f64 (PI.f64)))) (*.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/192 binary64)))) (*.f64 (PI.f64) #s(literal 1/2 binary64))))))))
(+.f64 (log.f64 #s(literal 2 binary64)) (log.f64 (/.f64 (cosh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)) (*.f64 f (fma.f64 (*.f64 f f) (fma.f64 (*.f64 (*.f64 f f) #s(literal 1/61440 binary64)) (*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (sqrt.f64 (PI.f64))) (*.f64 (*.f64 (PI.f64) (PI.f64)) (sqrt.f64 (PI.f64)))) (*.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/192 binary64)))) (*.f64 (PI.f64) #s(literal 1/2 binary64)))))))
(+.f64 (log.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))) (neg.f64 (log.f64 (*.f64 f (fma.f64 (*.f64 f f) (fma.f64 (*.f64 (*.f64 f f) #s(literal 1/61440 binary64)) (*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (sqrt.f64 (PI.f64))) (*.f64 (*.f64 (PI.f64) (PI.f64)) (sqrt.f64 (PI.f64)))) (*.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/192 binary64)))) (*.f64 (PI.f64) #s(literal 1/2 binary64)))))))
(+.f64 #s(literal 0 binary64) (log.f64 (/.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (*.f64 f (fma.f64 (*.f64 f f) (fma.f64 (*.f64 (*.f64 f f) #s(literal 1/61440 binary64)) (*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (sqrt.f64 (PI.f64))) (*.f64 (*.f64 (PI.f64) (PI.f64)) (sqrt.f64 (PI.f64)))) (*.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/192 binary64)))) (*.f64 (PI.f64) #s(literal 1/2 binary64)))))))
(+.f64 (log.f64 (/.f64 #s(literal 2 binary64) f)) (log.f64 (/.f64 (cosh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)) (fma.f64 (*.f64 f f) (fma.f64 (*.f64 (*.f64 f f) #s(literal 1/61440 binary64)) (*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (sqrt.f64 (PI.f64))) (*.f64 (*.f64 (PI.f64) (PI.f64)) (sqrt.f64 (PI.f64)))) (*.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/192 binary64)))) (*.f64 (PI.f64) #s(literal 1/2 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 1 binary64) (*.f64 f (neg.f64 (fma.f64 (*.f64 f f) (fma.f64 (*.f64 (*.f64 f f) #s(literal 1/61440 binary64)) (*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (sqrt.f64 (PI.f64))) (*.f64 (*.f64 (PI.f64) (PI.f64)) (sqrt.f64 (PI.f64)))) (*.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/192 binary64)))) (*.f64 (PI.f64) #s(literal 1/2 binary64))))))))
(+.f64 (log.f64 (/.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) f)) (log.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 f f) (fma.f64 (*.f64 (*.f64 f f) #s(literal 1/61440 binary64)) (*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (sqrt.f64 (PI.f64))) (*.f64 (*.f64 (PI.f64) (PI.f64)) (sqrt.f64 (PI.f64)))) (*.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/192 binary64)))) (*.f64 (PI.f64) #s(literal 1/2 binary64))))))
(+.f64 (neg.f64 (log.f64 (*.f64 f (fma.f64 (*.f64 f f) (fma.f64 (*.f64 (*.f64 f f) #s(literal 1/61440 binary64)) (*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (sqrt.f64 (PI.f64))) (*.f64 (*.f64 (PI.f64) (PI.f64)) (sqrt.f64 (PI.f64)))) (*.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/192 binary64)))) (*.f64 (PI.f64) #s(literal 1/2 binary64)))))) (log.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))))
(+.f64 (log.f64 (/.f64 #s(literal 2 binary64) (fma.f64 (*.f64 f f) (fma.f64 (*.f64 (*.f64 f f) #s(literal 1/61440 binary64)) (*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (sqrt.f64 (PI.f64))) (*.f64 (*.f64 (PI.f64) (PI.f64)) (sqrt.f64 (PI.f64)))) (*.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/192 binary64)))) (*.f64 (PI.f64) #s(literal 1/2 binary64))))) (log.f64 (/.f64 (cosh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)) f)))
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(*.f64 (pow.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64))) #s(literal 1/3 binary64)) (pow.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64))) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (pow.f64 (PI.f64) #s(literal 2/3 binary64))) #s(literal 1/3 binary64)) (cbrt.f64 (cbrt.f64 (PI.f64))))
(*.f64 (pow.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (sqrt.f64 (PI.f64))) #s(literal 1/3 binary64)) (cbrt.f64 (sqrt.f64 (PI.f64))))
(*.f64 (exp.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/3 binary64) (log.f64 (PI.f64))))) (exp.f64 (*.f64 #s(literal 1/3 binary64) (log.f64 (PI.f64)))))
(*.f64 (exp.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (PI.f64)))) (exp.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (PI.f64)))))
(*.f64 (cbrt.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (sqrt.f64 (PI.f64)))) (cbrt.f64 (sqrt.f64 (PI.f64))))
(*.f64 (cbrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (cbrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))))
(*.f64 (cbrt.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (pow.f64 (PI.f64) #s(literal 2/3 binary64)))) (cbrt.f64 (cbrt.f64 (PI.f64))))
(*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64))))
(*.f64 (sqrt.f64 (cbrt.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (PI.f64))))) (cbrt.f64 (PI.f64)))
(*.f64 (sqrt.f64 (pow.f64 (PI.f64) #s(literal 5/3 binary64))) (pow.f64 (PI.f64) #s(literal 1/6 binary64)))
(+.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/2 binary64) (*.f64 (PI.f64) #s(literal -1/24 binary64)))) (*.f64 (PI.f64) (*.f64 #s(literal 1/8 binary64) (*.f64 (PI.f64) #s(literal 1/2 binary64)))))
(+.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/8 binary64) (*.f64 (PI.f64) #s(literal 1/2 binary64)))) (*.f64 (PI.f64) (*.f64 #s(literal 1/2 binary64) (*.f64 (PI.f64) #s(literal -1/24 binary64)))))
(fma.f64 (PI.f64) (*.f64 #s(literal 1/2 binary64) (*.f64 (PI.f64) #s(literal 1/8 binary64))) (*.f64 (PI.f64) (*.f64 #s(literal 1/2 binary64) (*.f64 (PI.f64) #s(literal -1/24 binary64)))))
(fma.f64 (PI.f64) (*.f64 #s(literal 1/2 binary64) (*.f64 (PI.f64) #s(literal -1/24 binary64))) (*.f64 (PI.f64) (*.f64 #s(literal 1/8 binary64) (*.f64 (PI.f64) #s(literal 1/2 binary64)))))
(fma.f64 (PI.f64) (*.f64 #s(literal -1/24 binary64) (*.f64 (PI.f64) #s(literal 1/2 binary64))) (*.f64 (PI.f64) (*.f64 #s(literal 1/8 binary64) (*.f64 (PI.f64) #s(literal 1/2 binary64)))))
(fma.f64 (PI.f64) (*.f64 #s(literal 1/8 binary64) (*.f64 (PI.f64) #s(literal 1/2 binary64))) (*.f64 (PI.f64) (*.f64 #s(literal 1/2 binary64) (*.f64 (PI.f64) #s(literal -1/24 binary64)))))
(fma.f64 #s(literal 1/2 binary64) (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal -1/24 binary64))) (*.f64 (PI.f64) (*.f64 #s(literal 1/8 binary64) (*.f64 (PI.f64) #s(literal 1/2 binary64)))))
(fma.f64 #s(literal 1/2 binary64) (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/8 binary64))) (*.f64 (PI.f64) (*.f64 #s(literal 1/2 binary64) (*.f64 (PI.f64) #s(literal -1/24 binary64)))))
(fma.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (PI.f64) #s(literal 1/8 binary64)) (*.f64 (PI.f64) (*.f64 #s(literal 1/2 binary64) (*.f64 (PI.f64) #s(literal -1/24 binary64)))))
(fma.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (PI.f64) #s(literal -1/24 binary64)) (*.f64 (PI.f64) (*.f64 #s(literal 1/8 binary64) (*.f64 (PI.f64) #s(literal 1/2 binary64)))))
(fma.f64 (*.f64 (PI.f64) #s(literal 1/48 binary64)) (*.f64 #s(literal -2 binary64) (*.f64 (PI.f64) #s(literal 1/2 binary64))) (*.f64 (PI.f64) (*.f64 #s(literal 1/8 binary64) (*.f64 (PI.f64) #s(literal 1/2 binary64)))))
(fma.f64 #s(literal -2 binary64) (*.f64 (*.f64 (PI.f64) #s(literal 1/48 binary64)) (*.f64 (PI.f64) #s(literal 1/2 binary64))) (*.f64 (PI.f64) (*.f64 #s(literal 1/8 binary64) (*.f64 (PI.f64) #s(literal 1/2 binary64)))))
(fma.f64 #s(literal 1/8 binary64) (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/2 binary64))) (*.f64 (PI.f64) (*.f64 #s(literal 1/2 binary64) (*.f64 (PI.f64) #s(literal -1/24 binary64)))))
(fma.f64 (*.f64 (PI.f64) #s(literal 1/8 binary64)) (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (PI.f64) (*.f64 #s(literal 1/2 binary64) (*.f64 (PI.f64) #s(literal -1/24 binary64)))))
(fma.f64 (*.f64 (PI.f64) #s(literal -1/24 binary64)) (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (PI.f64) (*.f64 #s(literal 1/8 binary64) (*.f64 (PI.f64) #s(literal 1/2 binary64)))))
(fma.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) (PI.f64) (*.f64 (PI.f64) (*.f64 #s(literal 1/2 binary64) (*.f64 (PI.f64) #s(literal -1/24 binary64)))))
(fma.f64 (*.f64 (*.f64 (PI.f64) #s(literal -1/24 binary64)) #s(literal 1/2 binary64)) (PI.f64) (*.f64 (PI.f64) (*.f64 #s(literal 1/8 binary64) (*.f64 (PI.f64) #s(literal 1/2 binary64)))))
(fma.f64 (*.f64 (*.f64 (PI.f64) #s(literal -1/24 binary64)) (PI.f64)) #s(literal 1/2 binary64) (*.f64 (PI.f64) (*.f64 #s(literal 1/8 binary64) (*.f64 (PI.f64) #s(literal 1/2 binary64)))))
(fma.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (PI.f64)) #s(literal 1/8 binary64) (*.f64 (PI.f64) (*.f64 #s(literal 1/2 binary64) (*.f64 (PI.f64) #s(literal -1/24 binary64)))))
(fma.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (PI.f64)) #s(literal -1/24 binary64) (*.f64 (PI.f64) (*.f64 #s(literal 1/8 binary64) (*.f64 (PI.f64) #s(literal 1/2 binary64)))))
(fma.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (PI.f64) #s(literal 1/48 binary64))) #s(literal -2 binary64) (*.f64 (PI.f64) (*.f64 #s(literal 1/8 binary64) (*.f64 (PI.f64) #s(literal 1/2 binary64)))))
(fma.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) #s(literal -2 binary64)) (*.f64 (PI.f64) #s(literal 1/48 binary64)) (*.f64 (PI.f64) (*.f64 #s(literal 1/8 binary64) (*.f64 (PI.f64) #s(literal 1/2 binary64)))))
(fma.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/8 binary64)) (PI.f64)) #s(literal 1/2 binary64) (*.f64 (PI.f64) (*.f64 #s(literal 1/2 binary64) (*.f64 (PI.f64) #s(literal -1/24 binary64)))))
(fma.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) #s(literal 1/8 binary64)) (PI.f64) (*.f64 (PI.f64) (*.f64 #s(literal 1/2 binary64) (*.f64 (PI.f64) #s(literal -1/24 binary64)))))
(/.f64 (fma.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal -1/13824 binary64)) (*.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/512 binary64)))) (fma.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/2 binary64) (*.f64 (PI.f64) #s(literal -1/24 binary64)))) (*.f64 (PI.f64) (*.f64 #s(literal 1/2 binary64) (*.f64 (PI.f64) #s(literal -1/24 binary64)))) (-.f64 (*.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/8 binary64) (*.f64 (PI.f64) #s(literal 1/2 binary64)))) (*.f64 (PI.f64) (*.f64 #s(literal 1/8 binary64) (*.f64 (PI.f64) #s(literal 1/2 binary64))))) (*.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/2 binary64) (*.f64 (PI.f64) #s(literal -1/24 binary64)))) (*.f64 (PI.f64) (*.f64 #s(literal 1/8 binary64) (*.f64 (PI.f64) #s(literal 1/2 binary64))))))))
(/.f64 (-.f64 (*.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/2 binary64) (*.f64 (PI.f64) #s(literal -1/24 binary64)))) (*.f64 (PI.f64) (*.f64 #s(literal 1/2 binary64) (*.f64 (PI.f64) #s(literal -1/24 binary64))))) (*.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/8 binary64) (*.f64 (PI.f64) #s(literal 1/2 binary64)))) (*.f64 (PI.f64) (*.f64 #s(literal 1/8 binary64) (*.f64 (PI.f64) #s(literal 1/2 binary64)))))) (-.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/2 binary64) (*.f64 (PI.f64) #s(literal -1/24 binary64)))) (*.f64 (PI.f64) (*.f64 #s(literal 1/8 binary64) (*.f64 (PI.f64) #s(literal 1/2 binary64))))))
(/.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (fma.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal -1/13824 binary64) (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/512 binary64)))) (fma.f64 (*.f64 (PI.f64) #s(literal 1/8 binary64)) (-.f64 (*.f64 (PI.f64) #s(literal 1/8 binary64)) (*.f64 (PI.f64) #s(literal -1/24 binary64))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/576 binary64))))
(/.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (*.f64 (PI.f64) #s(literal 1/12 binary64)) (*.f64 (PI.f64) #s(literal -1/6 binary64)))) (*.f64 (PI.f64) #s(literal -1/6 binary64)))
(/.f64 (*.f64 (fma.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal -1/13824 binary64) (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/512 binary64))) (*.f64 (PI.f64) #s(literal 1/2 binary64))) (fma.f64 (*.f64 (PI.f64) #s(literal 1/8 binary64)) (-.f64 (*.f64 (PI.f64) #s(literal 1/8 binary64)) (*.f64 (PI.f64) #s(literal -1/24 binary64))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/576 binary64))))
(/.f64 (*.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/12 binary64)) (*.f64 (PI.f64) #s(literal -1/6 binary64))) (*.f64 (PI.f64) #s(literal 1/2 binary64))) (*.f64 (PI.f64) #s(literal -1/6 binary64)))
(/.f64 (neg.f64 (fma.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal -1/13824 binary64)) (*.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/512 binary64))))) (neg.f64 (fma.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/2 binary64) (*.f64 (PI.f64) #s(literal -1/24 binary64)))) (*.f64 (PI.f64) (*.f64 #s(literal 1/2 binary64) (*.f64 (PI.f64) #s(literal -1/24 binary64)))) (-.f64 (*.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/8 binary64) (*.f64 (PI.f64) #s(literal 1/2 binary64)))) (*.f64 (PI.f64) (*.f64 #s(literal 1/8 binary64) (*.f64 (PI.f64) #s(literal 1/2 binary64))))) (*.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/2 binary64) (*.f64 (PI.f64) #s(literal -1/24 binary64)))) (*.f64 (PI.f64) (*.f64 #s(literal 1/8 binary64) (*.f64 (PI.f64) #s(literal 1/2 binary64)))))))))
(/.f64 (neg.f64 (-.f64 (*.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/2 binary64) (*.f64 (PI.f64) #s(literal -1/24 binary64)))) (*.f64 (PI.f64) (*.f64 #s(literal 1/2 binary64) (*.f64 (PI.f64) #s(literal -1/24 binary64))))) (*.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/8 binary64) (*.f64 (PI.f64) #s(literal 1/2 binary64)))) (*.f64 (PI.f64) (*.f64 #s(literal 1/8 binary64) (*.f64 (PI.f64) #s(literal 1/2 binary64))))))) (neg.f64 (-.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/2 binary64) (*.f64 (PI.f64) #s(literal -1/24 binary64)))) (*.f64 (PI.f64) (*.f64 #s(literal 1/8 binary64) (*.f64 (PI.f64) #s(literal 1/2 binary64)))))))
(/.f64 (neg.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (fma.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal -1/13824 binary64) (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/512 binary64))))) (neg.f64 (fma.f64 (*.f64 (PI.f64) #s(literal 1/8 binary64)) (-.f64 (*.f64 (PI.f64) #s(literal 1/8 binary64)) (*.f64 (PI.f64) #s(literal -1/24 binary64))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/576 binary64)))))
(/.f64 (neg.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (*.f64 (PI.f64) #s(literal 1/12 binary64)) (*.f64 (PI.f64) #s(literal -1/6 binary64))))) (neg.f64 (*.f64 (PI.f64) #s(literal -1/6 binary64))))
(/.f64 (neg.f64 (*.f64 (fma.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal -1/13824 binary64) (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/512 binary64))) (*.f64 (PI.f64) #s(literal 1/2 binary64)))) (neg.f64 (fma.f64 (*.f64 (PI.f64) #s(literal 1/8 binary64)) (-.f64 (*.f64 (PI.f64) #s(literal 1/8 binary64)) (*.f64 (PI.f64) #s(literal -1/24 binary64))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/576 binary64)))))
(/.f64 (neg.f64 (*.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/12 binary64)) (*.f64 (PI.f64) #s(literal -1/6 binary64))) (*.f64 (PI.f64) #s(literal 1/2 binary64)))) (neg.f64 (*.f64 (PI.f64) #s(literal -1/6 binary64))))
(*.f64 (PI.f64) (*.f64 #s(literal 1/2 binary64) (*.f64 (PI.f64) #s(literal 1/12 binary64))))
(*.f64 #s(literal 1/2 binary64) (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/12 binary64))))
(*.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (PI.f64) #s(literal 1/12 binary64)))
(*.f64 #s(literal 1 binary64) (*.f64 (PI.f64) (*.f64 #s(literal 1/2 binary64) (*.f64 (PI.f64) #s(literal 1/12 binary64)))))
(*.f64 (*.f64 (PI.f64) #s(literal 1/12 binary64)) (*.f64 (PI.f64) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (*.f64 (cbrt.f64 (PI.f64)) (*.f64 #s(literal 1/2 binary64) (*.f64 (PI.f64) #s(literal 1/12 binary64)))))
(*.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) (*.f64 #s(literal 1/2 binary64) (*.f64 (PI.f64) #s(literal 1/12 binary64)))))
(*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (PI.f64) #s(literal 1/12 binary64))) (PI.f64))
(*.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/12 binary64)) (PI.f64)) #s(literal 1/2 binary64))

eval28.0ms (0.2%)

Memory
-18.7MiB live, 54.4MiB allocated
Compiler

Compiled 5 757 to 247 computations (95.7% saved)

prune12.0ms (0.1%)

Memory
29.9MiB live, 29.9MiB allocated
Pruning

10 alts after pruning (8 fresh and 2 done)

PrunedKeptTotal
New2346240
Fresh022
Picked325
Done000
Total23710247
Accuracy
98.3%
Counts
247 → 10
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶97.0%
(neg.f64 (fma.f64 (-.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (log.f64 f)) (/.f64 #s(literal 4 binary64) (PI.f64)) (*.f64 (PI.f64) (*.f64 #s(literal 1/12 binary64) (*.f64 f f)))))
▶97.1%
(neg.f64 (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) (*.f64 (PI.f64) (fma.f64 (*.f64 (*.f64 f f) #s(literal -1/8 binary64)) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/144 binary64)) #s(literal 1/12 binary64))))))
✓96.8%
(neg.f64 (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (neg.f64 (log.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)))) (log.f64 f))) (PI.f64)))
97.0%
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (fma.f64 f (*.f64 (PI.f64) (*.f64 #s(literal 1/12 binary64) f)) (/.f64 #s(literal 4 binary64) (PI.f64))) f))))
✓97.2%
(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 f (fma.f64 (*.f64 f f) (fma.f64 f (*.f64 f (*.f64 (pow.f64 (PI.f64) #s(literal 5 binary64)) #s(literal 1/61440 binary64))) (*.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/192 binary64)))) (*.f64 (PI.f64) #s(literal 1/2 binary64))))))))
97.0%
(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 f (fma.f64 f (*.f64 f (*.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/192 binary64)))) (*.f64 (PI.f64) #s(literal 1/2 binary64))))))))
▶96.7%
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 #s(literal 4 binary64) (*.f64 (PI.f64) f)))))
96.7%
(neg.f64 (*.f64 (+.f64 (log.f64 f) (log.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)))) (/.f64 #s(literal -4 binary64) (PI.f64))))
▶1.6%
(neg.f64 (*.f64 (+.f64 (log.f64 f) (log.f64 (*.f64 (PI.f64) #s(literal 1/12 binary64)))) (/.f64 #s(literal 4 binary64) (PI.f64))))
▶7.5%
(neg.f64 (*.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))) (exp.f64 (*.f64 f (*.f64 (PI.f64) #s(literal -1/4 binary64))))) (-.f64 (exp.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))) (exp.f64 (*.f64 f (*.f64 (PI.f64) #s(literal -1/4 binary64))))))) (/.f64 #s(literal 4 binary64) (PI.f64))))
Compiler

Compiled 435 to 288 computations (33.8% saved)

simplify340.0ms (2.1%)

Memory
-39.4MiB live, 524.1MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(/.f64 (+.f64 (exp.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))) (exp.f64 (*.f64 f (*.f64 (PI.f64) #s(literal -1/4 binary64))))) (-.f64 (exp.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))) (exp.f64 (*.f64 f (*.f64 (PI.f64) #s(literal -1/4 binary64))))))
✓cost-diff0
(log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))) (exp.f64 (*.f64 f (*.f64 (PI.f64) #s(literal -1/4 binary64))))) (-.f64 (exp.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))) (exp.f64 (*.f64 f (*.f64 (PI.f64) #s(literal -1/4 binary64)))))))
✓cost-diff0
(*.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))) (exp.f64 (*.f64 f (*.f64 (PI.f64) #s(literal -1/4 binary64))))) (-.f64 (exp.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))) (exp.f64 (*.f64 f (*.f64 (PI.f64) #s(literal -1/4 binary64))))))) (/.f64 #s(literal 4 binary64) (PI.f64)))
✓cost-diff128
(neg.f64 (*.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))) (exp.f64 (*.f64 f (*.f64 (PI.f64) #s(literal -1/4 binary64))))) (-.f64 (exp.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))) (exp.f64 (*.f64 f (*.f64 (PI.f64) #s(literal -1/4 binary64))))))) (/.f64 #s(literal 4 binary64) (PI.f64))))
✓cost-diff0
(-.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (log.f64 f))
✓cost-diff128
(log.f64 (/.f64 #s(literal 4 binary64) (PI.f64)))
✓cost-diff128
(fma.f64 (-.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (log.f64 f)) (/.f64 #s(literal 4 binary64) (PI.f64)) (*.f64 (PI.f64) (*.f64 #s(literal 1/12 binary64) (*.f64 f f))))
✓cost-diff128
(neg.f64 (fma.f64 (-.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (log.f64 f)) (/.f64 #s(literal 4 binary64) (PI.f64)) (*.f64 (PI.f64) (*.f64 #s(literal 1/12 binary64) (*.f64 f f)))))
✓cost-diff0
(log.f64 f)
✓cost-diff0
(+.f64 (log.f64 f) (log.f64 (*.f64 (PI.f64) #s(literal 1/12 binary64))))
✓cost-diff0
(*.f64 (+.f64 (log.f64 f) (log.f64 (*.f64 (PI.f64) #s(literal 1/12 binary64)))) (/.f64 #s(literal 4 binary64) (PI.f64)))
✓cost-diff128
(neg.f64 (*.f64 (+.f64 (log.f64 f) (log.f64 (*.f64 (PI.f64) #s(literal 1/12 binary64)))) (/.f64 #s(literal 4 binary64) (PI.f64))))
✓cost-diff128
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 #s(literal 4 binary64) (*.f64 (PI.f64) f))))
✓cost-diff128
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 #s(literal 4 binary64) (*.f64 (PI.f64) f)))))
✓cost-diff256
(/.f64 (PI.f64) #s(literal 4 binary64))
✓cost-diff448
(/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64)))
✓cost-diff128
(log.f64 (/.f64 #s(literal 4 binary64) (PI.f64)))
✓cost-diff128
(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) (*.f64 (PI.f64) (fma.f64 (*.f64 (*.f64 f f) #s(literal -1/8 binary64)) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/144 binary64)) #s(literal 1/12 binary64)))))
✓cost-diff128
(neg.f64 (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) (*.f64 (PI.f64) (fma.f64 (*.f64 (*.f64 f f) #s(literal -1/8 binary64)) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/144 binary64)) #s(literal 1/12 binary64))))))
✓cost-diff320
(fma.f64 (*.f64 (*.f64 f f) #s(literal -1/8 binary64)) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/144 binary64)) #s(literal 1/12 binary64))
Rules
13 718×lower-fma.f32
13 712×lower-fma.f64
4 650×lower-*.f32
4 616×lower-*.f64
1 634×lower--.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
051501
097499
1197487
2519487
31734487
44070487
56600487
08155480
Stop Event
1×iter limit
1×node limit
1×iter limit
Calls
Call 1
Inputs
(neg.f64 (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) (*.f64 (PI.f64) (fma.f64 (*.f64 (*.f64 f f) #s(literal -1/8 binary64)) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/144 binary64)) #s(literal 1/12 binary64))))))
(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) (*.f64 (PI.f64) (fma.f64 (*.f64 (*.f64 f f) #s(literal -1/8 binary64)) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/144 binary64)) #s(literal 1/12 binary64)))))
#s(literal 4 binary64)
(/.f64 (-.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (log.f64 f)) (PI.f64))
(-.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (log.f64 f))
(log.f64 (/.f64 #s(literal 4 binary64) (PI.f64)))
(/.f64 #s(literal 4 binary64) (PI.f64))
(PI.f64)
(log.f64 f)
f
(*.f64 (*.f64 f f) (*.f64 (PI.f64) (fma.f64 (*.f64 (*.f64 f f) #s(literal -1/8 binary64)) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/144 binary64)) #s(literal 1/12 binary64))))
(*.f64 f f)
(*.f64 (PI.f64) (fma.f64 (*.f64 (*.f64 f f) #s(literal -1/8 binary64)) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/144 binary64)) #s(literal 1/12 binary64)))
(fma.f64 (*.f64 (*.f64 f f) #s(literal -1/8 binary64)) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/144 binary64)) #s(literal 1/12 binary64))
(*.f64 (*.f64 f f) #s(literal -1/8 binary64))
#s(literal -1/8 binary64)
(*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/144 binary64))
(*.f64 (PI.f64) (PI.f64))
#s(literal 1/144 binary64)
#s(literal 1/12 binary64)
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 #s(literal 4 binary64) (*.f64 (PI.f64) f)))))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 #s(literal 4 binary64) (*.f64 (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 #s(literal 4 binary64) (*.f64 (PI.f64) f)))
(/.f64 #s(literal 4 binary64) (*.f64 (PI.f64) f))
(*.f64 (PI.f64) f)
f
(neg.f64 (*.f64 (+.f64 (log.f64 f) (log.f64 (*.f64 (PI.f64) #s(literal 1/12 binary64)))) (/.f64 #s(literal 4 binary64) (PI.f64))))
(*.f64 (+.f64 (log.f64 f) (log.f64 (*.f64 (PI.f64) #s(literal 1/12 binary64)))) (/.f64 #s(literal 4 binary64) (PI.f64)))
(+.f64 (log.f64 f) (log.f64 (*.f64 (PI.f64) #s(literal 1/12 binary64))))
(log.f64 f)
f
(log.f64 (*.f64 (PI.f64) #s(literal 1/12 binary64)))
(*.f64 (PI.f64) #s(literal 1/12 binary64))
(PI.f64)
#s(literal 1/12 binary64)
(/.f64 #s(literal 4 binary64) (PI.f64))
#s(literal 4 binary64)
(neg.f64 (fma.f64 (-.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (log.f64 f)) (/.f64 #s(literal 4 binary64) (PI.f64)) (*.f64 (PI.f64) (*.f64 #s(literal 1/12 binary64) (*.f64 f f)))))
(fma.f64 (-.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (log.f64 f)) (/.f64 #s(literal 4 binary64) (PI.f64)) (*.f64 (PI.f64) (*.f64 #s(literal 1/12 binary64) (*.f64 f f))))
(-.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (log.f64 f))
(log.f64 (/.f64 #s(literal 4 binary64) (PI.f64)))
(/.f64 #s(literal 4 binary64) (PI.f64))
#s(literal 4 binary64)
(PI.f64)
(log.f64 f)
f
(*.f64 (PI.f64) (*.f64 #s(literal 1/12 binary64) (*.f64 f f)))
(*.f64 #s(literal 1/12 binary64) (*.f64 f f))
#s(literal 1/12 binary64)
(*.f64 f f)
(neg.f64 (*.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))) (exp.f64 (*.f64 f (*.f64 (PI.f64) #s(literal -1/4 binary64))))) (-.f64 (exp.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))) (exp.f64 (*.f64 f (*.f64 (PI.f64) #s(literal -1/4 binary64))))))) (/.f64 #s(literal 4 binary64) (PI.f64))))
(*.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))) (exp.f64 (*.f64 f (*.f64 (PI.f64) #s(literal -1/4 binary64))))) (-.f64 (exp.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))) (exp.f64 (*.f64 f (*.f64 (PI.f64) #s(literal -1/4 binary64))))))) (/.f64 #s(literal 4 binary64) (PI.f64)))
(log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))) (exp.f64 (*.f64 f (*.f64 (PI.f64) #s(literal -1/4 binary64))))) (-.f64 (exp.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))) (exp.f64 (*.f64 f (*.f64 (PI.f64) #s(literal -1/4 binary64)))))))
(/.f64 (+.f64 (exp.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))) (exp.f64 (*.f64 f (*.f64 (PI.f64) #s(literal -1/4 binary64))))) (-.f64 (exp.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))) (exp.f64 (*.f64 f (*.f64 (PI.f64) #s(literal -1/4 binary64))))))
(+.f64 (exp.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))) (exp.f64 (*.f64 f (*.f64 (PI.f64) #s(literal -1/4 binary64)))))
(exp.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)
(exp.f64 (*.f64 f (*.f64 (PI.f64) #s(literal -1/4 binary64))))
(*.f64 f (*.f64 (PI.f64) #s(literal -1/4 binary64)))
(*.f64 (PI.f64) #s(literal -1/4 binary64))
#s(literal -1/4 binary64)
(-.f64 (exp.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))) (exp.f64 (*.f64 f (*.f64 (PI.f64) #s(literal -1/4 binary64)))))
(/.f64 #s(literal 4 binary64) (PI.f64))
#s(literal 4 binary64)
Outputs
(neg.f64 (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) (*.f64 (PI.f64) (fma.f64 (*.f64 (*.f64 f f) #s(literal -1/8 binary64)) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/144 binary64)) #s(literal 1/12 binary64))))))
(fma.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (+.f64 (log.f64 f) (log.f64 (neg.f64 (*.f64 (PI.f64) #s(literal -1/4 binary64))))) (*.f64 (*.f64 f f) (*.f64 (PI.f64) (fma.f64 (*.f64 f (*.f64 f (*.f64 (PI.f64) (PI.f64)))) #s(literal 1/1152 binary64) #s(literal -1/12 binary64)))))
(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) (*.f64 (PI.f64) (fma.f64 (*.f64 (*.f64 f f) #s(literal -1/8 binary64)) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/144 binary64)) #s(literal 1/12 binary64)))))
(fma.f64 (/.f64 #s(literal -4 binary64) (PI.f64)) (+.f64 (log.f64 f) (log.f64 (neg.f64 (*.f64 (PI.f64) #s(literal -1/4 binary64))))) (*.f64 (*.f64 f f) (*.f64 (PI.f64) (fma.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (*.f64 f f) #s(literal -1/1152 binary64))) #s(literal 1/12 binary64)))))
#s(literal 4 binary64)
(/.f64 (-.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (log.f64 f)) (PI.f64))
(/.f64 (-.f64 (neg.f64 (log.f64 f)) (log.f64 (neg.f64 (*.f64 (PI.f64) #s(literal -1/4 binary64))))) (PI.f64))
(-.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (log.f64 f))
(-.f64 (neg.f64 (log.f64 f)) (log.f64 (neg.f64 (*.f64 (PI.f64) #s(literal -1/4 binary64)))))
(log.f64 (/.f64 #s(literal 4 binary64) (PI.f64)))
(neg.f64 (log.f64 (neg.f64 (*.f64 (PI.f64) #s(literal -1/4 binary64)))))
(/.f64 #s(literal 4 binary64) (PI.f64))
(PI.f64)
(log.f64 f)
f
(*.f64 (*.f64 f f) (*.f64 (PI.f64) (fma.f64 (*.f64 (*.f64 f f) #s(literal -1/8 binary64)) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/144 binary64)) #s(literal 1/12 binary64))))
(*.f64 (*.f64 f f) (*.f64 (PI.f64) (fma.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (*.f64 f f) #s(literal -1/1152 binary64))) #s(literal 1/12 binary64))))
(*.f64 f f)
(*.f64 (PI.f64) (fma.f64 (*.f64 (*.f64 f f) #s(literal -1/8 binary64)) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/144 binary64)) #s(literal 1/12 binary64)))
(*.f64 (PI.f64) (fma.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (*.f64 f f) #s(literal -1/1152 binary64))) #s(literal 1/12 binary64)))
(fma.f64 (*.f64 (*.f64 f f) #s(literal -1/8 binary64)) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/144 binary64)) #s(literal 1/12 binary64))
(fma.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (*.f64 f f) #s(literal -1/1152 binary64))) #s(literal 1/12 binary64))
(*.f64 (*.f64 f f) #s(literal -1/8 binary64))
(*.f64 f (*.f64 f #s(literal -1/8 binary64)))
#s(literal -1/8 binary64)
(*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/144 binary64))
(*.f64 (PI.f64) (PI.f64))
#s(literal 1/144 binary64)
#s(literal 1/12 binary64)
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 #s(literal 4 binary64) (*.f64 (PI.f64) f)))))
(*.f64 #s(literal 4 binary64) (/.f64 (log.f64 (*.f64 f (neg.f64 (*.f64 (PI.f64) #s(literal -1/4 binary64))))) (PI.f64)))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 #s(literal 4 binary64) (*.f64 (PI.f64) f))))
(/.f64 (log.f64 (*.f64 f (neg.f64 (*.f64 (PI.f64) #s(literal -1/4 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))
(neg.f64 (*.f64 (PI.f64) #s(literal -1/4 binary64)))
(PI.f64)
#s(literal 4 binary64)
(log.f64 (/.f64 #s(literal 4 binary64) (*.f64 (PI.f64) f)))
(neg.f64 (log.f64 (*.f64 f (neg.f64 (*.f64 (PI.f64) #s(literal -1/4 binary64))))))
(/.f64 #s(literal 4 binary64) (*.f64 (PI.f64) f))
(*.f64 (PI.f64) f)
f
(neg.f64 (*.f64 (+.f64 (log.f64 f) (log.f64 (*.f64 (PI.f64) #s(literal 1/12 binary64)))) (/.f64 #s(literal 4 binary64) (PI.f64))))
(/.f64 (+.f64 (log.f64 f) (log.f64 (*.f64 (PI.f64) #s(literal 1/12 binary64)))) (*.f64 (PI.f64) #s(literal -1/4 binary64)))
(*.f64 (+.f64 (log.f64 f) (log.f64 (*.f64 (PI.f64) #s(literal 1/12 binary64)))) (/.f64 #s(literal 4 binary64) (PI.f64)))
(*.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (+.f64 (log.f64 f) (log.f64 (*.f64 (PI.f64) #s(literal 1/12 binary64)))))
(+.f64 (log.f64 f) (log.f64 (*.f64 (PI.f64) #s(literal 1/12 binary64))))
(log.f64 f)
f
(log.f64 (*.f64 (PI.f64) #s(literal 1/12 binary64)))
(*.f64 (PI.f64) #s(literal 1/12 binary64))
(PI.f64)
#s(literal 1/12 binary64)
(/.f64 #s(literal 4 binary64) (PI.f64))
#s(literal 4 binary64)
(neg.f64 (fma.f64 (-.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (log.f64 f)) (/.f64 #s(literal 4 binary64) (PI.f64)) (*.f64 (PI.f64) (*.f64 #s(literal 1/12 binary64) (*.f64 f f)))))
(fma.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (+.f64 (log.f64 f) (log.f64 (neg.f64 (*.f64 (PI.f64) #s(literal -1/4 binary64))))) (*.f64 (PI.f64) (*.f64 (*.f64 f f) #s(literal -1/12 binary64))))
(fma.f64 (-.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (log.f64 f)) (/.f64 #s(literal 4 binary64) (PI.f64)) (*.f64 (PI.f64) (*.f64 #s(literal 1/12 binary64) (*.f64 f f))))
(fma.f64 (/.f64 #s(literal -4 binary64) (PI.f64)) (+.f64 (log.f64 f) (log.f64 (neg.f64 (*.f64 (PI.f64) #s(literal -1/4 binary64))))) (*.f64 (PI.f64) (*.f64 (*.f64 f f) #s(literal 1/12 binary64))))
(-.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (log.f64 f))
(-.f64 (neg.f64 (log.f64 f)) (log.f64 (neg.f64 (*.f64 (PI.f64) #s(literal -1/4 binary64)))))
(log.f64 (/.f64 #s(literal 4 binary64) (PI.f64)))
(neg.f64 (log.f64 (neg.f64 (*.f64 (PI.f64) #s(literal -1/4 binary64)))))
(/.f64 #s(literal 4 binary64) (PI.f64))
#s(literal 4 binary64)
(PI.f64)
(log.f64 f)
f
(*.f64 (PI.f64) (*.f64 #s(literal 1/12 binary64) (*.f64 f f)))
(*.f64 (PI.f64) (*.f64 (*.f64 f f) #s(literal 1/12 binary64)))
(*.f64 #s(literal 1/12 binary64) (*.f64 f f))
(*.f64 (*.f64 f f) #s(literal 1/12 binary64))
#s(literal 1/12 binary64)
(*.f64 f f)
(neg.f64 (*.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))) (exp.f64 (*.f64 f (*.f64 (PI.f64) #s(literal -1/4 binary64))))) (-.f64 (exp.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))) (exp.f64 (*.f64 f (*.f64 (PI.f64) #s(literal -1/4 binary64))))))) (/.f64 #s(literal 4 binary64) (PI.f64))))
(/.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 f (*.f64 (PI.f64) #s(literal 1/4 binary64)))) (exp.f64 (*.f64 (PI.f64) (*.f64 f #s(literal -1/4 binary64))))) (-.f64 (exp.f64 (*.f64 f (*.f64 (PI.f64) #s(literal 1/4 binary64)))) (exp.f64 (*.f64 (PI.f64) (*.f64 f #s(literal -1/4 binary64))))))) (*.f64 (PI.f64) #s(literal -1/4 binary64)))
(*.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))) (exp.f64 (*.f64 f (*.f64 (PI.f64) #s(literal -1/4 binary64))))) (-.f64 (exp.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))) (exp.f64 (*.f64 f (*.f64 (PI.f64) #s(literal -1/4 binary64))))))) (/.f64 #s(literal 4 binary64) (PI.f64)))
(*.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 f (*.f64 (PI.f64) #s(literal 1/4 binary64)))) (exp.f64 (*.f64 (PI.f64) (*.f64 f #s(literal -1/4 binary64))))) (-.f64 (exp.f64 (*.f64 f (*.f64 (PI.f64) #s(literal 1/4 binary64)))) (exp.f64 (*.f64 (PI.f64) (*.f64 f #s(literal -1/4 binary64))))))))
(log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))) (exp.f64 (*.f64 f (*.f64 (PI.f64) #s(literal -1/4 binary64))))) (-.f64 (exp.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))) (exp.f64 (*.f64 f (*.f64 (PI.f64) #s(literal -1/4 binary64)))))))
(log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 f (*.f64 (PI.f64) #s(literal 1/4 binary64)))) (exp.f64 (*.f64 (PI.f64) (*.f64 f #s(literal -1/4 binary64))))) (-.f64 (exp.f64 (*.f64 f (*.f64 (PI.f64) #s(literal 1/4 binary64)))) (exp.f64 (*.f64 (PI.f64) (*.f64 f #s(literal -1/4 binary64)))))))
(/.f64 (+.f64 (exp.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))) (exp.f64 (*.f64 f (*.f64 (PI.f64) #s(literal -1/4 binary64))))) (-.f64 (exp.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))) (exp.f64 (*.f64 f (*.f64 (PI.f64) #s(literal -1/4 binary64))))))
(/.f64 (+.f64 (exp.f64 (*.f64 f (*.f64 (PI.f64) #s(literal 1/4 binary64)))) (exp.f64 (*.f64 (PI.f64) (*.f64 f #s(literal -1/4 binary64))))) (-.f64 (exp.f64 (*.f64 f (*.f64 (PI.f64) #s(literal 1/4 binary64)))) (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 f (*.f64 (PI.f64) #s(literal -1/4 binary64)))))
(+.f64 (exp.f64 (*.f64 f (*.f64 (PI.f64) #s(literal 1/4 binary64)))) (exp.f64 (*.f64 (PI.f64) (*.f64 f #s(literal -1/4 binary64)))))
(exp.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64))))
(exp.f64 (*.f64 f (*.f64 (PI.f64) #s(literal 1/4 binary64))))
(*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))
(*.f64 f (*.f64 (PI.f64) #s(literal 1/4 binary64)))
f
(*.f64 #s(literal 1/4 binary64) (PI.f64))
(*.f64 (PI.f64) #s(literal 1/4 binary64))
#s(literal 1/4 binary64)
(PI.f64)
(exp.f64 (*.f64 f (*.f64 (PI.f64) #s(literal -1/4 binary64))))
(exp.f64 (*.f64 (PI.f64) (*.f64 f #s(literal -1/4 binary64))))
(*.f64 f (*.f64 (PI.f64) #s(literal -1/4 binary64)))
(*.f64 (PI.f64) (*.f64 f #s(literal -1/4 binary64)))
(*.f64 (PI.f64) #s(literal -1/4 binary64))
#s(literal -1/4 binary64)
(-.f64 (exp.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))) (exp.f64 (*.f64 f (*.f64 (PI.f64) #s(literal -1/4 binary64)))))
(-.f64 (exp.f64 (*.f64 f (*.f64 (PI.f64) #s(literal 1/4 binary64)))) (exp.f64 (*.f64 (PI.f64) (*.f64 f #s(literal -1/4 binary64)))))
(/.f64 #s(literal 4 binary64) (PI.f64))
#s(literal 4 binary64)

localize446.0ms (2.7%)

Memory
38.0MiB live, 436.2MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
✓accuracy99.6%
(*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))
✓accuracy99.4%
(*.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))) (exp.f64 (*.f64 f (*.f64 (PI.f64) #s(literal -1/4 binary64))))) (-.f64 (exp.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))) (exp.f64 (*.f64 f (*.f64 (PI.f64) #s(literal -1/4 binary64))))))) (/.f64 #s(literal 4 binary64) (PI.f64)))
✓accuracy98.5%
(/.f64 (+.f64 (exp.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))) (exp.f64 (*.f64 f (*.f64 (PI.f64) #s(literal -1/4 binary64))))) (-.f64 (exp.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))) (exp.f64 (*.f64 f (*.f64 (PI.f64) #s(literal -1/4 binary64))))))
✓accuracy10.9%
(-.f64 (exp.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))) (exp.f64 (*.f64 f (*.f64 (PI.f64) #s(literal -1/4 binary64)))))
✓accuracy99.7%
(*.f64 #s(literal 1/12 binary64) (*.f64 f f))
✓accuracy99.7%
(*.f64 (PI.f64) (*.f64 #s(literal 1/12 binary64) (*.f64 f f)))
✓accuracy99.4%
(fma.f64 (-.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (log.f64 f)) (/.f64 #s(literal 4 binary64) (PI.f64)) (*.f64 (PI.f64) (*.f64 #s(literal 1/12 binary64) (*.f64 f f))))
✓accuracy96.9%
(log.f64 (/.f64 #s(literal 4 binary64) (PI.f64)))
✓accuracy99.6%
(+.f64 (log.f64 f) (log.f64 (*.f64 (PI.f64) #s(literal 1/12 binary64))))
✓accuracy99.3%
(*.f64 (+.f64 (log.f64 f) (log.f64 (*.f64 (PI.f64) #s(literal 1/12 binary64)))) (/.f64 #s(literal 4 binary64) (PI.f64)))
✓accuracy98.4%
(*.f64 (PI.f64) #s(literal 1/12 binary64))
✓accuracy98.4%
(log.f64 (*.f64 (PI.f64) #s(literal 1/12 binary64)))
✓accuracy100.0%
(log.f64 (/.f64 #s(literal 4 binary64) (*.f64 (PI.f64) f)))
✓accuracy99.6%
(*.f64 (PI.f64) f)
✓accuracy99.6%
(/.f64 #s(literal 4 binary64) (*.f64 (PI.f64) f))
✓accuracy99.4%
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 #s(literal 4 binary64) (*.f64 (PI.f64) f))))
✓accuracy99.5%
(*.f64 (*.f64 f f) (*.f64 (PI.f64) (fma.f64 (*.f64 (*.f64 f f) #s(literal -1/8 binary64)) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/144 binary64)) #s(literal 1/12 binary64))))
✓accuracy99.5%
(/.f64 (-.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (log.f64 f)) (PI.f64))
✓accuracy98.5%
(*.f64 (PI.f64) (fma.f64 (*.f64 (*.f64 f f) #s(literal -1/8 binary64)) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/144 binary64)) #s(literal 1/12 binary64)))
✓accuracy96.9%
(log.f64 (/.f64 #s(literal 4 binary64) (PI.f64)))
Samples
273.0ms236×1valid
7.0ms17×0valid
5.0ms3×2valid
Compiler

Compiled 512 to 56 computations (89.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 235.0ms
ival-mult: 85.0ms (36.1% of total)
const: 41.0ms (17.4% of total)
ival-log: 30.0ms (12.8% of total)
ival-div: 17.0ms (7.2% of total)
ival-exp: 17.0ms (7.2% of total)
adjust: 15.0ms (6.4% of total)
ival-neg: 13.0ms (5.5% of total)
ival-add: 10.0ms (4.3% of total)
ival-sub: 4.0ms (1.7% of total)
ival-pi: 2.0ms (0.9% of total)
exact: 1.0ms (0.4% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series249.0ms (1.5%)

Memory
1.1MiB live, 117.4MiB allocated
Counts
19 → 192
Calls
Call 1
Inputs
#<alt (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64)))>
#<alt (*.f64 (PI.f64) (fma.f64 (*.f64 (*.f64 f f) #s(literal -1/8 binary64)) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/144 binary64)) #s(literal 1/12 binary64)))>
#<alt (/.f64 (-.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (log.f64 f)) (PI.f64))>
#<alt (*.f64 (*.f64 f f) (*.f64 (PI.f64) (fma.f64 (*.f64 (*.f64 f f) #s(literal -1/8 binary64)) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/144 binary64)) #s(literal 1/12 binary64))))>
#<alt (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 #s(literal 4 binary64) (*.f64 (PI.f64) f))))>
#<alt (/.f64 #s(literal 4 binary64) (*.f64 (PI.f64) f))>
#<alt (*.f64 (PI.f64) f)>
#<alt (log.f64 (/.f64 #s(literal 4 binary64) (*.f64 (PI.f64) f)))>
#<alt (log.f64 (*.f64 (PI.f64) #s(literal 1/12 binary64)))>
#<alt (*.f64 (PI.f64) #s(literal 1/12 binary64))>
#<alt (*.f64 (+.f64 (log.f64 f) (log.f64 (*.f64 (PI.f64) #s(literal 1/12 binary64)))) (/.f64 #s(literal 4 binary64) (PI.f64)))>
#<alt (+.f64 (log.f64 f) (log.f64 (*.f64 (PI.f64) #s(literal 1/12 binary64))))>
#<alt (fma.f64 (-.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (log.f64 f)) (/.f64 #s(literal 4 binary64) (PI.f64)) (*.f64 (PI.f64) (*.f64 #s(literal 1/12 binary64) (*.f64 f f))))>
#<alt (*.f64 (PI.f64) (*.f64 #s(literal 1/12 binary64) (*.f64 f f)))>
#<alt (*.f64 #s(literal 1/12 binary64) (*.f64 f f))>
#<alt (-.f64 (exp.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))) (exp.f64 (*.f64 f (*.f64 (PI.f64) #s(literal -1/4 binary64)))))>
#<alt (/.f64 (+.f64 (exp.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))) (exp.f64 (*.f64 f (*.f64 (PI.f64) #s(literal -1/4 binary64))))) (-.f64 (exp.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))) (exp.f64 (*.f64 f (*.f64 (PI.f64) #s(literal -1/4 binary64))))))>
#<alt (*.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))) (exp.f64 (*.f64 f (*.f64 (PI.f64) #s(literal -1/4 binary64))))) (-.f64 (exp.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))) (exp.f64 (*.f64 f (*.f64 (PI.f64) #s(literal -1/4 binary64))))))) (/.f64 #s(literal 4 binary64) (PI.f64)))>
#<alt (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))>
Outputs
#<alt (* 1/12 (PI))>
#<alt (+ (* -1/1152 (* (pow f 2) (pow (PI) 3))) (* 1/12 (PI)))>
#<alt (+ (* -1/1152 (* (pow f 2) (pow (PI) 3))) (* 1/12 (PI)))>
#<alt (+ (* -1/1152 (* (pow f 2) (pow (PI) 3))) (* 1/12 (PI)))>
#<alt (* -1/1152 (* (pow f 2) (pow (PI) 3)))>
#<alt (* (pow f 2) (+ (* -1/1152 (pow (PI) 3)) (* 1/12 (/ (PI) (pow f 2)))))>
#<alt (* (pow f 2) (+ (* -1/1152 (pow (PI) 3)) (* 1/12 (/ (PI) (pow f 2)))))>
#<alt (* (pow f 2) (+ (* -1/1152 (pow (PI) 3)) (* 1/12 (/ (PI) (pow f 2)))))>
#<alt (* -1/1152 (* (pow f 2) (pow (PI) 3)))>
#<alt (* (pow f 2) (+ (* -1/1152 (pow (PI) 3)) (* 1/12 (/ (PI) (pow f 2)))))>
#<alt (* (pow f 2) (+ (* -1/1152 (pow (PI) 3)) (* 1/12 (/ (PI) (pow f 2)))))>
#<alt (* (pow f 2) (+ (* -1/1152 (pow (PI) 3)) (* 1/12 (/ (PI) (pow f 2)))))>
#<alt (/ (- (log (/ 4 (PI))) (log f)) (PI))>
#<alt (/ (- (log (/ 4 (PI))) (log f)) (PI))>
#<alt (/ (- (log (/ 4 (PI))) (log f)) (PI))>
#<alt (/ (- (log (/ 4 (PI))) (log f)) (PI))>
#<alt (/ (- (log (/ 4 (PI))) (* -1 (log (/ 1 f)))) (PI))>
#<alt (/ (- (log (/ 4 (PI))) (* -1 (log (/ 1 f)))) (PI))>
#<alt (/ (- (log (/ 4 (PI))) (* -1 (log (/ 1 f)))) (PI))>
#<alt (/ (- (log (/ 4 (PI))) (* -1 (log (/ 1 f)))) (PI))>
#<alt (/ (- (log (/ 4 (PI))) (+ (log -1) (* -1 (log (/ -1 f))))) (PI))>
#<alt (/ (- (log (/ 4 (PI))) (+ (log -1) (* -1 (log (/ -1 f))))) (PI))>
#<alt (/ (- (log (/ 4 (PI))) (+ (log -1) (* -1 (log (/ -1 f))))) (PI))>
#<alt (/ (- (log (/ 4 (PI))) (+ (log -1) (* -1 (log (/ -1 f))))) (PI))>
#<alt (* 1/12 (* (pow f 2) (PI)))>
#<alt (* (pow f 2) (+ (* -1/1152 (* (pow f 2) (pow (PI) 3))) (* 1/12 (PI))))>
#<alt (* (pow f 2) (+ (* -1/1152 (* (pow f 2) (pow (PI) 3))) (* 1/12 (PI))))>
#<alt (* (pow f 2) (+ (* -1/1152 (* (pow f 2) (pow (PI) 3))) (* 1/12 (PI))))>
#<alt (* -1/1152 (* (pow f 4) (pow (PI) 3)))>
#<alt (* (pow f 4) (+ (* -1/1152 (pow (PI) 3)) (* 1/12 (/ (PI) (pow f 2)))))>
#<alt (* (pow f 4) (+ (* -1/1152 (pow (PI) 3)) (* 1/12 (/ (PI) (pow f 2)))))>
#<alt (* (pow f 4) (+ (* -1/1152 (pow (PI) 3)) (* 1/12 (/ (PI) (pow f 2)))))>
#<alt (* -1/1152 (* (pow f 4) (pow (PI) 3)))>
#<alt (* (pow f 4) (+ (* -1/1152 (pow (PI) 3)) (* 1/12 (/ (PI) (pow f 2)))))>
#<alt (* (pow f 4) (+ (* -1/1152 (pow (PI) 3)) (* 1/12 (/ (PI) (pow f 2)))))>
#<alt (* (pow f 4) (+ (* -1/1152 (pow (PI) 3)) (* 1/12 (/ (PI) (pow f 2)))))>
#<alt (* 4 (/ (+ (log (/ 4 (PI))) (* -1 (log f))) (PI)))>
#<alt (* 4 (/ (+ (log (/ 4 (PI))) (* -1 (log f))) (PI)))>
#<alt (* 4 (/ (+ (log (/ 4 (PI))) (* -1 (log f))) (PI)))>
#<alt (* 4 (/ (+ (log (/ 4 (PI))) (* -1 (log f))) (PI)))>
#<alt (* 4 (/ (+ (log (/ 1 f)) (log (/ 4 (PI)))) (PI)))>
#<alt (* 4 (/ (+ (log (/ 1 f)) (log (/ 4 (PI)))) (PI)))>
#<alt (* 4 (/ (+ (log (/ 1 f)) (log (/ 4 (PI)))) (PI)))>
#<alt (* 4 (/ (+ (log (/ 1 f)) (log (/ 4 (PI)))) (PI)))>
#<alt (* 4 (/ (+ (log (/ -4 (PI))) (log (/ -1 f))) (PI)))>
#<alt (* 4 (/ (+ (log (/ -4 (PI))) (log (/ -1 f))) (PI)))>
#<alt (* 4 (/ (+ (log (/ -4 (PI))) (log (/ -1 f))) (PI)))>
#<alt (* 4 (/ (+ (log (/ -4 (PI))) (log (/ -1 f))) (PI)))>
#<alt (/ 4 (* f (PI)))>
#<alt (/ 4 (* f (PI)))>
#<alt (/ 4 (* f (PI)))>
#<alt (/ 4 (* f (PI)))>
#<alt (/ 4 (* f (PI)))>
#<alt (/ 4 (* f (PI)))>
#<alt (/ 4 (* f (PI)))>
#<alt (/ 4 (* f (PI)))>
#<alt (/ 4 (* f (PI)))>
#<alt (/ 4 (* f (PI)))>
#<alt (/ 4 (* f (PI)))>
#<alt (/ 4 (* f (PI)))>
#<alt (* f (PI))>
#<alt (* f (PI))>
#<alt (* f (PI))>
#<alt (* f (PI))>
#<alt (* f (PI))>
#<alt (* f (PI))>
#<alt (* f (PI))>
#<alt (* f (PI))>
#<alt (* f (PI))>
#<alt (* f (PI))>
#<alt (* f (PI))>
#<alt (* f (PI))>
#<alt (+ (log (/ 4 (PI))) (* -1 (log f)))>
#<alt (+ (log (/ 4 (PI))) (* -1 (log f)))>
#<alt (+ (log (/ 4 (PI))) (* -1 (log f)))>
#<alt (+ (log (/ 4 (PI))) (* -1 (log f)))>
#<alt (+ (log (/ 1 f)) (log (/ 4 (PI))))>
#<alt (+ (log (/ 1 f)) (log (/ 4 (PI))))>
#<alt (+ (log (/ 1 f)) (log (/ 4 (PI))))>
#<alt (+ (log (/ 1 f)) (log (/ 4 (PI))))>
#<alt (+ (log (/ -4 (PI))) (log (/ -1 f)))>
#<alt (+ (log (/ -4 (PI))) (log (/ -1 f)))>
#<alt (+ (log (/ -4 (PI))) (log (/ -1 f)))>
#<alt (+ (log (/ -4 (PI))) (log (/ -1 f)))>
#<alt (* 4 (/ (+ (log f) (log (* 1/12 (PI)))) (PI)))>
#<alt (* 4 (/ (+ (log f) (log (* 1/12 (PI)))) (PI)))>
#<alt (* 4 (/ (+ (log f) (log (* 1/12 (PI)))) (PI)))>
#<alt (* 4 (/ (+ (log f) (log (* 1/12 (PI)))) (PI)))>
#<alt (* 4 (/ (+ (log (* 1/12 (PI))) (* -1 (log (/ 1 f)))) (PI)))>
#<alt (* 4 (/ (+ (log (* 1/12 (PI))) (* -1 (log (/ 1 f)))) (PI)))>
#<alt (* 4 (/ (+ (log (* 1/12 (PI))) (* -1 (log (/ 1 f)))) (PI)))>
#<alt (* 4 (/ (+ (log (* 1/12 (PI))) (* -1 (log (/ 1 f)))) (PI)))>
#<alt (* 4 (/ (+ (log -1) (+ (log (* 1/12 (PI))) (* -1 (log (/ -1 f))))) (PI)))>
#<alt (* 4 (/ (+ (log -1) (+ (log (* 1/12 (PI))) (* -1 (log (/ -1 f))))) (PI)))>
#<alt (* 4 (/ (+ (log -1) (+ (log (* 1/12 (PI))) (* -1 (log (/ -1 f))))) (PI)))>
#<alt (* 4 (/ (+ (log -1) (+ (log (* 1/12 (PI))) (* -1 (log (/ -1 f))))) (PI)))>
#<alt (+ (log f) (log (* 1/12 (PI))))>
#<alt (+ (log f) (log (* 1/12 (PI))))>
#<alt (+ (log f) (log (* 1/12 (PI))))>
#<alt (+ (log f) (log (* 1/12 (PI))))>
#<alt (+ (log (* 1/12 (PI))) (* -1 (log (/ 1 f))))>
#<alt (+ (log (* 1/12 (PI))) (* -1 (log (/ 1 f))))>
#<alt (+ (log (* 1/12 (PI))) (* -1 (log (/ 1 f))))>
#<alt (+ (log (* 1/12 (PI))) (* -1 (log (/ 1 f))))>
#<alt (+ (log -1) (+ (log (* 1/12 (PI))) (* -1 (log (/ -1 f)))))>
#<alt (+ (log -1) (+ (log (* 1/12 (PI))) (* -1 (log (/ -1 f)))))>
#<alt (+ (log -1) (+ (log (* 1/12 (PI))) (* -1 (log (/ -1 f)))))>
#<alt (+ (log -1) (+ (log (* 1/12 (PI))) (* -1 (log (/ -1 f)))))>
#<alt (* 4 (/ (- (log (/ 4 (PI))) (log f)) (PI)))>
#<alt (+ (* 1/12 (* (pow f 2) (PI))) (* 4 (/ (- (log (/ 4 (PI))) (log f)) (PI))))>
#<alt (+ (* 1/12 (* (pow f 2) (PI))) (* 4 (/ (- (log (/ 4 (PI))) (log f)) (PI))))>
#<alt (+ (* 1/12 (* (pow f 2) (PI))) (* 4 (/ (- (log (/ 4 (PI))) (log f)) (PI))))>
#<alt (* 1/12 (* (pow f 2) (PI)))>
#<alt (* (pow f 2) (+ (* 1/12 (PI)) (* 4 (/ (- (log (/ 4 (PI))) (* -1 (log (/ 1 f)))) (* (pow f 2) (PI))))))>
#<alt (* (pow f 2) (+ (* 1/12 (PI)) (* 4 (/ (- (log (/ 4 (PI))) (* -1 (log (/ 1 f)))) (* (pow f 2) (PI))))))>
#<alt (* (pow f 2) (+ (* 1/12 (PI)) (* 4 (/ (- (log (/ 4 (PI))) (* -1 (log (/ 1 f)))) (* (pow f 2) (PI))))))>
#<alt (* 1/12 (* (pow f 2) (PI)))>
#<alt (* (pow f 2) (+ (* 1/12 (PI)) (* 4 (/ (- (log (/ 4 (PI))) (+ (log -1) (* -1 (log (/ -1 f))))) (* (pow f 2) (PI))))))>
#<alt (* (pow f 2) (+ (* 1/12 (PI)) (* 4 (/ (- (log (/ 4 (PI))) (+ (log -1) (* -1 (log (/ -1 f))))) (* (pow f 2) (PI))))))>
#<alt (* (pow f 2) (+ (* 1/12 (PI)) (* 4 (/ (- (log (/ 4 (PI))) (+ (log -1) (* -1 (log (/ -1 f))))) (* (pow f 2) (PI))))))>
#<alt (* 1/12 (* (pow f 2) (PI)))>
#<alt (* 1/12 (* (pow f 2) (PI)))>
#<alt (* 1/12 (* (pow f 2) (PI)))>
#<alt (* 1/12 (* (pow f 2) (PI)))>
#<alt (* 1/12 (* (pow f 2) (PI)))>
#<alt (* 1/12 (* (pow f 2) (PI)))>
#<alt (* 1/12 (* (pow f 2) (PI)))>
#<alt (* 1/12 (* (pow f 2) (PI)))>
#<alt (* 1/12 (* (pow f 2) (PI)))>
#<alt (* 1/12 (* (pow f 2) (PI)))>
#<alt (* 1/12 (* (pow f 2) (PI)))>
#<alt (* 1/12 (* (pow f 2) (PI)))>
#<alt (* 1/12 (pow f 2))>
#<alt (* 1/12 (pow f 2))>
#<alt (* 1/12 (pow f 2))>
#<alt (* 1/12 (pow f 2))>
#<alt (* 1/12 (pow f 2))>
#<alt (* 1/12 (pow f 2))>
#<alt (* 1/12 (pow f 2))>
#<alt (* 1/12 (pow f 2))>
#<alt (* 1/12 (pow f 2))>
#<alt (* 1/12 (pow f 2))>
#<alt (* 1/12 (pow f 2))>
#<alt (* 1/12 (pow f 2))>
#<alt (* f (- (* 1/4 (PI)) (* -1/4 (PI))))>
#<alt (* f (- (+ (* 1/4 (PI)) (* (pow f 2) (- (* 1/384 (pow (PI) 3)) (* -1/384 (pow (PI) 3))))) (* -1/4 (PI))))>
#<alt (* f (- (+ (* 1/4 (PI)) (* (pow f 2) (- (+ (* 1/384 (pow (PI) 3)) (* (pow f 2) (- (* 1/122880 (pow (PI) 5)) (* -1/122880 (pow (PI) 5))))) (* -1/384 (pow (PI) 3))))) (* -1/4 (PI))))>
#<alt (* f (- (+ (* 1/4 (PI)) (* (pow f 2) (- (+ (* 1/384 (pow (PI) 3)) (* (pow f 2) (- (+ (* 1/122880 (pow (PI) 5)) (* (pow f 2) (- (* 1/82575360 (pow (PI) 7)) (* -1/82575360 (pow (PI) 7))))) (* -1/122880 (pow (PI) 5))))) (* -1/384 (pow (PI) 3))))) (* -1/4 (PI))))>
#<alt (- (exp (* 1/4 (* f (PI)))) (exp (* -1/4 (* f (PI)))))>
#<alt (- (exp (* 1/4 (* f (PI)))) (exp (* -1/4 (* f (PI)))))>
#<alt (- (exp (* 1/4 (* f (PI)))) (exp (* -1/4 (* f (PI)))))>
#<alt (- (exp (* 1/4 (* f (PI)))) (exp (* -1/4 (* f (PI)))))>
#<alt (- (exp (* 1/4 (* f (PI)))) (exp (* -1/4 (* f (PI)))))>
#<alt (- (exp (* 1/4 (* f (PI)))) (exp (* -1/4 (* f (PI)))))>
#<alt (- (exp (* 1/4 (* f (PI)))) (exp (* -1/4 (* f (PI)))))>
#<alt (- (exp (* 1/4 (* f (PI)))) (exp (* -1/4 (* f (PI)))))>
#<alt (/ 2 (* f (- (* 1/4 (PI)) (* -1/4 (PI)))))>
#<alt (/ (+ (* f (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))))) (* 2 (/ 1 (- (* 1/4 (PI)) (* -1/4 (PI)))))) f)>
#<alt (/ (+ (* f (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (+ (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* f (- (* 1/16 (/ (pow (PI) 2) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 2 (/ (- (* 1/384 (pow (PI) 3)) (* -1/384 (pow (PI) 3))) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 2)))))))) (* 2 (/ 1 (- (* 1/4 (PI)) (* -1/4 (PI)))))) f)>
#<alt (/ (+ (* f (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (+ (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* f (- (+ (* 1/16 (/ (pow (PI) 2) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* f (- (+ (* -1/384 (/ (pow (PI) 3) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/384 (/ (pow (PI) 3) (- (* 1/4 (PI)) (* -1/4 (PI)))))) (/ (* (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI)))))) (- (* 1/384 (pow (PI) 3)) (* -1/384 (pow (PI) 3)))) (- (* 1/4 (PI)) (* -1/4 (PI))))))) (* 2 (/ (- (* 1/384 (pow (PI) 3)) (* -1/384 (pow (PI) 3))) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 2)))))))) (* 2 (/ 1 (- (* 1/4 (PI)) (* -1/4 (PI)))))) f)>
#<alt (/ (+ (exp (* -1/4 (* f (PI)))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (* -1/4 (* f (PI))))))>
#<alt (/ (+ (exp (* -1/4 (* f (PI)))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (* -1/4 (* f (PI))))))>
#<alt (/ (+ (exp (* -1/4 (* f (PI)))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (* -1/4 (* f (PI))))))>
#<alt (/ (+ (exp (* -1/4 (* f (PI)))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (* -1/4 (* f (PI))))))>
#<alt (/ (+ (exp (* -1/4 (* f (PI)))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (* -1/4 (* f (PI))))))>
#<alt (/ (+ (exp (* -1/4 (* f (PI)))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (* -1/4 (* f (PI))))))>
#<alt (/ (+ (exp (* -1/4 (* f (PI)))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (* -1/4 (* f (PI))))))>
#<alt (/ (+ (exp (* -1/4 (* f (PI)))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (* -1/4 (* f (PI))))))>
#<alt (* 4 (/ (+ (log (/ 2 (- (* 1/4 (PI)) (* -1/4 (PI))))) (* -1 (log f))) (PI)))>
#<alt (+ (* 2 (/ (* f (* (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI)))))) (- (* 1/4 (PI)) (* -1/4 (PI))))) (PI))) (* 4 (/ (+ (log (/ 2 (- (* 1/4 (PI)) (* -1/4 (PI))))) (* -1 (log f))) (PI))))>
#<alt (+ (* 4 (/ (+ (log (/ 2 (- (* 1/4 (PI)) (* -1/4 (PI))))) (* -1 (log f))) (PI))) (* f (+ (* 2 (/ (* f (+ (* -1/4 (* (pow (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI)))))) 2) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 2))) (* (- (* 1/16 (/ (pow (PI) 2) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 2 (/ (- (* 1/384 (pow (PI) 3)) (* -1/384 (pow (PI) 3))) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 2)))) (- (* 1/4 (PI)) (* -1/4 (PI)))))) (PI))) (* 2 (/ (* (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI)))))) (- (* 1/4 (PI)) (* -1/4 (PI)))) (PI))))))>
#<alt (+ (* 4 (/ (+ (log (/ 2 (- (* 1/4 (PI)) (* -1/4 (PI))))) (* -1 (log f))) (PI))) (* f (+ (* 2 (/ (* (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI)))))) (- (* 1/4 (PI)) (* -1/4 (PI)))) (PI))) (* f (+ (* 2/3 (/ (* f (+ (* -3/2 (* (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI)))))) (* (- (* 1/16 (/ (pow (PI) 2) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 2 (/ (- (* 1/384 (pow (PI) 3)) (* -1/384 (pow (PI) 3))) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 2)))) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 2)))) (+ (* 1/4 (* (pow (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI)))))) 3) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 3))) (* 3 (* (- (* 1/4 (PI)) (* -1/4 (PI))) (- (+ (* -1/384 (/ (pow (PI) 3) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/384 (/ (pow (PI) 3) (- (* 1/4 (PI)) (* -1/4 (PI)))))) (/ (* (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI)))))) (- (* 1/384 (pow (PI) 3)) (* -1/384 (pow (PI) 3)))) (- (* 1/4 (PI)) (* -1/4 (PI)))))))))) (PI))) (* 2 (/ (+ (* -1/4 (* (pow (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI)))))) 2) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 2))) (* (- (* 1/16 (/ (pow (PI) 2) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 2 (/ (- (* 1/384 (pow (PI) 3)) (* -1/384 (pow (PI) 3))) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 2)))) (- (* 1/4 (PI)) (* -1/4 (PI))))) (PI))))))))>
#<alt (* 4 (/ (log (/ (+ (exp (* -1/4 (* f (PI)))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (* -1/4 (* f (PI))))))) (PI)))>
#<alt (* 4 (/ (log (/ (+ (exp (* -1/4 (* f (PI)))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (* -1/4 (* f (PI))))))) (PI)))>
#<alt (* 4 (/ (log (/ (+ (exp (* -1/4 (* f (PI)))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (* -1/4 (* f (PI))))))) (PI)))>
#<alt (* 4 (/ (log (/ (+ (exp (* -1/4 (* f (PI)))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (* -1/4 (* f (PI))))))) (PI)))>
#<alt (* 4 (/ (log (/ (+ (exp (* -1/4 (* f (PI)))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (* -1/4 (* f (PI))))))) (PI)))>
#<alt (* 4 (/ (log (/ (+ (exp (* -1/4 (* f (PI)))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (* -1/4 (* f (PI))))))) (PI)))>
#<alt (* 4 (/ (log (/ (+ (exp (* -1/4 (* f (PI)))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (* -1/4 (* f (PI))))))) (PI)))>
#<alt (* 4 (/ (log (/ (+ (exp (* -1/4 (* f (PI)))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (* -1/4 (* f (PI))))))) (PI)))>
#<alt (* 1/4 (* f (PI)))>
#<alt (* 1/4 (* f (PI)))>
#<alt (* 1/4 (* f (PI)))>
#<alt (* 1/4 (* f (PI)))>
#<alt (* 1/4 (* f (PI)))>
#<alt (* 1/4 (* f (PI)))>
#<alt (* 1/4 (* f (PI)))>
#<alt (* 1/4 (* f (PI)))>
#<alt (* 1/4 (* f (PI)))>
#<alt (* 1/4 (* f (PI)))>
#<alt (* 1/4 (* f (PI)))>
#<alt (* 1/4 (* f (PI)))>
Calls

48 calls:

TimeVariablePointExpression
131.0ms
f
@inf
(* 1/12 (* f f))
52.0ms
f
@inf
(* (log (/ (+ (exp (* f (* 1/4 (PI)))) (exp (* f (* (PI) -1/4)))) (- (exp (* f (* 1/4 (PI)))) (exp (* f (* (PI) -1/4)))))) (/ 4 (PI)))
23.0ms
f
@-inf
(* (log (/ (+ (exp (* f (* 1/4 (PI)))) (exp (* f (* (PI) -1/4)))) (- (exp (* f (* 1/4 (PI)))) (exp (* f (* (PI) -1/4)))))) (/ 4 (PI)))
15.0ms
f
@0
(* (+ (log f) (log (* (PI) 1/12))) (/ 4 (PI)))
15.0ms
f
@0
(/ (- (log (/ 4 (PI))) (log f)) (PI))

rewrite413.0ms (2.5%)

Memory
14.6MiB live, 524.3MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
4 864×lower-*.f32
4 830×lower-*.f64
4 402×lower-/.f32
4 390×lower-/.f64
4 316×lower-fma.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
045203
084197
1285195
22118195
08646193
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
19 → 1 103
Calls
Call 1
Inputs
(log.f64 (/.f64 #s(literal 4 binary64) (PI.f64)))
(*.f64 (PI.f64) (fma.f64 (*.f64 (*.f64 f f) #s(literal -1/8 binary64)) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/144 binary64)) #s(literal 1/12 binary64)))
(/.f64 (-.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (log.f64 f)) (PI.f64))
(*.f64 (*.f64 f f) (*.f64 (PI.f64) (fma.f64 (*.f64 (*.f64 f f) #s(literal -1/8 binary64)) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/144 binary64)) #s(literal 1/12 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 #s(literal 4 binary64) (*.f64 (PI.f64) f))))
(/.f64 #s(literal 4 binary64) (*.f64 (PI.f64) f))
(*.f64 (PI.f64) f)
(log.f64 (/.f64 #s(literal 4 binary64) (*.f64 (PI.f64) f)))
(log.f64 (*.f64 (PI.f64) #s(literal 1/12 binary64)))
(*.f64 (PI.f64) #s(literal 1/12 binary64))
(*.f64 (+.f64 (log.f64 f) (log.f64 (*.f64 (PI.f64) #s(literal 1/12 binary64)))) (/.f64 #s(literal 4 binary64) (PI.f64)))
(+.f64 (log.f64 f) (log.f64 (*.f64 (PI.f64) #s(literal 1/12 binary64))))
(fma.f64 (-.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (log.f64 f)) (/.f64 #s(literal 4 binary64) (PI.f64)) (*.f64 (PI.f64) (*.f64 #s(literal 1/12 binary64) (*.f64 f f))))
(*.f64 (PI.f64) (*.f64 #s(literal 1/12 binary64) (*.f64 f f)))
(*.f64 #s(literal 1/12 binary64) (*.f64 f f))
(-.f64 (exp.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))) (exp.f64 (*.f64 f (*.f64 (PI.f64) #s(literal -1/4 binary64)))))
(/.f64 (+.f64 (exp.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))) (exp.f64 (*.f64 f (*.f64 (PI.f64) #s(literal -1/4 binary64))))) (-.f64 (exp.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))) (exp.f64 (*.f64 f (*.f64 (PI.f64) #s(literal -1/4 binary64))))))
(*.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))) (exp.f64 (*.f64 f (*.f64 (PI.f64) #s(literal -1/4 binary64))))) (-.f64 (exp.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))) (exp.f64 (*.f64 f (*.f64 (PI.f64) #s(literal -1/4 binary64))))))) (/.f64 #s(literal 4 binary64) (PI.f64)))
(*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))
Outputs
(log.f64 (/.f64 #s(literal 4 binary64) (PI.f64)))
(+.f64 (neg.f64 (log.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)))) #s(literal 0 binary64))
(+.f64 (log.f64 #s(literal 4 binary64)) (neg.f64 (log.f64 (PI.f64))))
(+.f64 #s(literal 0 binary64) (neg.f64 (log.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)))))
(+.f64 (log.f64 #s(literal -4 binary64)) (log.f64 (/.f64 #s(literal 1 binary64) (neg.f64 (PI.f64)))))
(+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) (*.f64 (PI.f64) #s(literal 1/4 binary64)))))
(+.f64 (neg.f64 (log.f64 (PI.f64))) (log.f64 #s(literal 4 binary64)))
(+.f64 (log.f64 (/.f64 #s(literal 1 binary64) (neg.f64 (PI.f64)))) (log.f64 #s(literal -4 binary64)))
(+.f64 (log.f64 (pow.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) #s(literal -1/2 binary64))) (log.f64 (pow.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) #s(literal -1/2 binary64))))
(-.f64 (log.f64 #s(literal 4 binary64)) (log.f64 (PI.f64)))
(-.f64 (log.f64 #s(literal 4 binary64)) (log.f64 (neg.f64 (neg.f64 (PI.f64)))))
(-.f64 #s(literal 0 binary64) (log.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64))))
(-.f64 (log.f64 #s(literal -4 binary64)) (log.f64 (neg.f64 (PI.f64))))
(-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (*.f64 (PI.f64) #s(literal -1/4 binary64))))
(-.f64 (neg.f64 (log.f64 (PI.f64))) (log.f64 #s(literal 1/4 binary64)))
(-.f64 (log.f64 (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64)))) (*.f64 #s(literal 1/2 binary64) (log.f64 (PI.f64))))
(-.f64 (log.f64 (/.f64 #s(literal 4 binary64) (pow.f64 (PI.f64) #s(literal 2/3 binary64)))) (*.f64 #s(literal 1/3 binary64) (log.f64 (PI.f64))))
(-.f64 (/.f64 (pow.f64 (log.f64 #s(literal 4 binary64)) #s(literal 3 binary64)) (+.f64 (pow.f64 (log.f64 #s(literal 4 binary64)) #s(literal 2 binary64)) (+.f64 (pow.f64 (log.f64 (PI.f64)) #s(literal 2 binary64)) (*.f64 (log.f64 #s(literal 4 binary64)) (log.f64 (PI.f64)))))) (/.f64 (pow.f64 (log.f64 (PI.f64)) #s(literal 3 binary64)) (+.f64 (pow.f64 (log.f64 #s(literal 4 binary64)) #s(literal 2 binary64)) (+.f64 (pow.f64 (log.f64 (PI.f64)) #s(literal 2 binary64)) (*.f64 (log.f64 #s(literal 4 binary64)) (log.f64 (PI.f64)))))))
(-.f64 (/.f64 (pow.f64 (log.f64 #s(literal 4 binary64)) #s(literal 2 binary64)) (log.f64 (*.f64 #s(literal 4 binary64) (PI.f64)))) (/.f64 (pow.f64 (log.f64 (PI.f64)) #s(literal 2 binary64)) (log.f64 (*.f64 #s(literal 4 binary64) (PI.f64)))))
(fma.f64 #s(literal -1 binary64) (log.f64 (PI.f64)) (log.f64 #s(literal 4 binary64)))
(fma.f64 #s(literal -1 binary64) (log.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64))) #s(literal 0 binary64))
(fma.f64 (log.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64))) #s(literal -1 binary64) #s(literal 0 binary64))
(neg.f64 (log.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64))))
(/.f64 (-.f64 (pow.f64 (log.f64 #s(literal 4 binary64)) #s(literal 3 binary64)) (pow.f64 (log.f64 (PI.f64)) #s(literal 3 binary64))) (+.f64 (pow.f64 (log.f64 #s(literal 4 binary64)) #s(literal 2 binary64)) (+.f64 (pow.f64 (log.f64 (PI.f64)) #s(literal 2 binary64)) (*.f64 (log.f64 #s(literal 4 binary64)) (log.f64 (PI.f64))))))
(/.f64 (-.f64 (pow.f64 (log.f64 #s(literal 4 binary64)) #s(literal 2 binary64)) (pow.f64 (log.f64 (PI.f64)) #s(literal 2 binary64))) (log.f64 (*.f64 #s(literal 4 binary64) (PI.f64))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log.f64 #s(literal 4 binary64)) #s(literal 3 binary64)) (pow.f64 (log.f64 (PI.f64)) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (log.f64 #s(literal 4 binary64)) #s(literal 2 binary64)) (+.f64 (pow.f64 (log.f64 (PI.f64)) #s(literal 2 binary64)) (*.f64 (log.f64 #s(literal 4 binary64)) (log.f64 (PI.f64)))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log.f64 #s(literal 4 binary64)) #s(literal 2 binary64)) (pow.f64 (log.f64 (PI.f64)) #s(literal 2 binary64)))) (neg.f64 (log.f64 (*.f64 #s(literal 4 binary64) (PI.f64)))))
(*.f64 #s(literal -1 binary64) (log.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64))))
(*.f64 (log.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64))) #s(literal -1 binary64))
(+.f64 (*.f64 (PI.f64) #s(literal 1/12 binary64)) (*.f64 (*.f64 (PI.f64) (*.f64 f f)) (*.f64 #s(literal -1/1152 binary64) (*.f64 (PI.f64) (PI.f64)))))
(+.f64 (*.f64 (*.f64 (PI.f64) (*.f64 f f)) (*.f64 #s(literal -1/1152 binary64) (*.f64 (PI.f64) (PI.f64)))) (*.f64 (PI.f64) #s(literal 1/12 binary64)))
(-.f64 (/.f64 (*.f64 (*.f64 (*.f64 (PI.f64) (*.f64 f f)) (*.f64 #s(literal -1/1152 binary64) (*.f64 (PI.f64) (PI.f64)))) (*.f64 (*.f64 (PI.f64) (*.f64 f f)) (*.f64 #s(literal -1/1152 binary64) (*.f64 (PI.f64) (PI.f64))))) (-.f64 (*.f64 (*.f64 (PI.f64) (*.f64 f f)) (*.f64 #s(literal -1/1152 binary64) (*.f64 (PI.f64) (PI.f64)))) (*.f64 (PI.f64) #s(literal 1/12 binary64)))) (/.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/12 binary64)) (*.f64 (PI.f64) #s(literal 1/12 binary64))) (-.f64 (*.f64 (*.f64 (PI.f64) (*.f64 f f)) (*.f64 #s(literal -1/1152 binary64) (*.f64 (PI.f64) (PI.f64)))) (*.f64 (PI.f64) #s(literal 1/12 binary64)))))
(fma.f64 (PI.f64) #s(literal 1/12 binary64) (*.f64 (*.f64 (PI.f64) (*.f64 f f)) (*.f64 #s(literal -1/1152 binary64) (*.f64 (PI.f64) (PI.f64)))))
(fma.f64 (PI.f64) (*.f64 (*.f64 f f) (*.f64 #s(literal -1/1152 binary64) (*.f64 (PI.f64) (PI.f64)))) (*.f64 (PI.f64) #s(literal 1/12 binary64)))
(fma.f64 (*.f64 f f) (*.f64 (*.f64 #s(literal -1/1152 binary64) (*.f64 (PI.f64) (PI.f64))) (PI.f64)) (*.f64 (PI.f64) #s(literal 1/12 binary64)))
(fma.f64 (*.f64 f (*.f64 f #s(literal -1/8 binary64))) (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/144 binary64))) (PI.f64)) (*.f64 (PI.f64) #s(literal 1/12 binary64)))
(fma.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/144 binary64))) (*.f64 (*.f64 f (*.f64 f #s(literal -1/8 binary64))) (PI.f64)) (*.f64 (PI.f64) #s(literal 1/12 binary64)))
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(*.f64 (/.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 f (*.f64 (PI.f64) #s(literal 1/4 binary64)))) (exp.f64 (*.f64 (PI.f64) (*.f64 f #s(literal -1/4 binary64))))) (-.f64 (exp.f64 (*.f64 f (*.f64 (PI.f64) #s(literal 1/4 binary64)))) (exp.f64 (*.f64 (PI.f64) (*.f64 f #s(literal -1/4 binary64))))))) (neg.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)))) (/.f64 #s(literal -4 binary64) (cbrt.f64 (PI.f64))))
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(log.f64 (exp.f64 (*.f64 f (*.f64 (PI.f64) #s(literal 1/4 binary64)))))
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(-.f64 #s(literal 0 binary64) (/.f64 (*.f64 (PI.f64) f) #s(literal -4 binary64)))
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simplify381.0ms (2.3%)

Memory
-24.9MiB live, 455.5MiB allocated
Algorithm
1×egg-herbie
Rules
6 838×lower-fma.f64
6 838×lower-fma.f32
3 900×lower-*.f64
3 900×lower-*.f32
2 090×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02232513
16192395
220582315
375352315
080142271
Stop Event
1×iter limit
1×node limit
Counts
192 → 192
Calls
Call 1
Inputs
(* 1/12 (PI))
(+ (* -1/1152 (* (pow f 2) (pow (PI) 3))) (* 1/12 (PI)))
(+ (* -1/1152 (* (pow f 2) (pow (PI) 3))) (* 1/12 (PI)))
(+ (* -1/1152 (* (pow f 2) (pow (PI) 3))) (* 1/12 (PI)))
(* -1/1152 (* (pow f 2) (pow (PI) 3)))
(* (pow f 2) (+ (* -1/1152 (pow (PI) 3)) (* 1/12 (/ (PI) (pow f 2)))))
(* (pow f 2) (+ (* -1/1152 (pow (PI) 3)) (* 1/12 (/ (PI) (pow f 2)))))
(* (pow f 2) (+ (* -1/1152 (pow (PI) 3)) (* 1/12 (/ (PI) (pow f 2)))))
(* -1/1152 (* (pow f 2) (pow (PI) 3)))
(* (pow f 2) (+ (* -1/1152 (pow (PI) 3)) (* 1/12 (/ (PI) (pow f 2)))))
(* (pow f 2) (+ (* -1/1152 (pow (PI) 3)) (* 1/12 (/ (PI) (pow f 2)))))
(* (pow f 2) (+ (* -1/1152 (pow (PI) 3)) (* 1/12 (/ (PI) (pow f 2)))))
(/ (- (log (/ 4 (PI))) (log f)) (PI))
(/ (- (log (/ 4 (PI))) (log f)) (PI))
(/ (- (log (/ 4 (PI))) (log f)) (PI))
(/ (- (log (/ 4 (PI))) (log f)) (PI))
(/ (- (log (/ 4 (PI))) (* -1 (log (/ 1 f)))) (PI))
(/ (- (log (/ 4 (PI))) (* -1 (log (/ 1 f)))) (PI))
(/ (- (log (/ 4 (PI))) (* -1 (log (/ 1 f)))) (PI))
(/ (- (log (/ 4 (PI))) (* -1 (log (/ 1 f)))) (PI))
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(/ (- (log (/ 4 (PI))) (+ (log -1) (* -1 (log (/ -1 f))))) (PI))
(/ (- (log (/ 4 (PI))) (+ (log -1) (* -1 (log (/ -1 f))))) (PI))
(/ (- (log (/ 4 (PI))) (+ (log -1) (* -1 (log (/ -1 f))))) (PI))
(* 1/12 (* (pow f 2) (PI)))
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(* 4 (/ (+ (log (/ 4 (PI))) (* -1 (log f))) (PI)))
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(+ (* 2 (/ (* f (* (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI)))))) (- (* 1/4 (PI)) (* -1/4 (PI))))) (PI))) (* 4 (/ (+ (log (/ 2 (- (* 1/4 (PI)) (* -1/4 (PI))))) (* -1 (log f))) (PI))))
(+ (* 4 (/ (+ (log (/ 2 (- (* 1/4 (PI)) (* -1/4 (PI))))) (* -1 (log f))) (PI))) (* f (+ (* 2 (/ (* f (+ (* -1/4 (* (pow (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI)))))) 2) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 2))) (* (- (* 1/16 (/ (pow (PI) 2) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 2 (/ (- (* 1/384 (pow (PI) 3)) (* -1/384 (pow (PI) 3))) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 2)))) (- (* 1/4 (PI)) (* -1/4 (PI)))))) (PI))) (* 2 (/ (* (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI)))))) (- (* 1/4 (PI)) (* -1/4 (PI)))) (PI))))))
(+ (* 4 (/ (+ (log (/ 2 (- (* 1/4 (PI)) (* -1/4 (PI))))) (* -1 (log f))) (PI))) (* f (+ (* 2 (/ (* (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI)))))) (- (* 1/4 (PI)) (* -1/4 (PI)))) (PI))) (* f (+ (* 2/3 (/ (* f (+ (* -3/2 (* (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI)))))) (* (- (* 1/16 (/ (pow (PI) 2) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 2 (/ (- (* 1/384 (pow (PI) 3)) (* -1/384 (pow (PI) 3))) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 2)))) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 2)))) (+ (* 1/4 (* (pow (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI)))))) 3) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 3))) (* 3 (* (- (* 1/4 (PI)) (* -1/4 (PI))) (- (+ (* -1/384 (/ (pow (PI) 3) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/384 (/ (pow (PI) 3) (- (* 1/4 (PI)) (* -1/4 (PI)))))) (/ (* (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI)))))) (- (* 1/384 (pow (PI) 3)) (* -1/384 (pow (PI) 3)))) (- (* 1/4 (PI)) (* -1/4 (PI)))))))))) (PI))) (* 2 (/ (+ (* -1/4 (* (pow (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI)))))) 2) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 2))) (* (- (* 1/16 (/ (pow (PI) 2) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 2 (/ (- (* 1/384 (pow (PI) 3)) (* -1/384 (pow (PI) 3))) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 2)))) (- (* 1/4 (PI)) (* -1/4 (PI))))) (PI))))))))
(* 4 (/ (log (/ (+ (exp (* -1/4 (* f (PI)))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (* -1/4 (* f (PI))))))) (PI)))
(* 4 (/ (log (/ (+ (exp (* -1/4 (* f (PI)))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (* -1/4 (* f (PI))))))) (PI)))
(* 4 (/ (log (/ (+ (exp (* -1/4 (* f (PI)))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (* -1/4 (* f (PI))))))) (PI)))
(* 4 (/ (log (/ (+ (exp (* -1/4 (* f (PI)))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (* -1/4 (* f (PI))))))) (PI)))
(* 4 (/ (log (/ (+ (exp (* -1/4 (* f (PI)))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (* -1/4 (* f (PI))))))) (PI)))
(* 4 (/ (log (/ (+ (exp (* -1/4 (* f (PI)))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (* -1/4 (* f (PI))))))) (PI)))
(* 4 (/ (log (/ (+ (exp (* -1/4 (* f (PI)))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (* -1/4 (* f (PI))))))) (PI)))
(* 4 (/ (log (/ (+ (exp (* -1/4 (* f (PI)))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (* -1/4 (* f (PI))))))) (PI)))
(* 1/4 (* f (PI)))
(* 1/4 (* f (PI)))
(* 1/4 (* f (PI)))
(* 1/4 (* f (PI)))
(* 1/4 (* f (PI)))
(* 1/4 (* f (PI)))
(* 1/4 (* f (PI)))
(* 1/4 (* f (PI)))
(* 1/4 (* f (PI)))
(* 1/4 (* f (PI)))
(* 1/4 (* f (PI)))
(* 1/4 (* f (PI)))
Outputs
(* 1/12 (PI))
(*.f64 #s(literal 1/12 binary64) (PI.f64))
(+ (* -1/1152 (* (pow f 2) (pow (PI) 3))) (* 1/12 (PI)))
(*.f64 (PI.f64) (fma.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 #s(literal -1/1152 binary64) (*.f64 f f)) #s(literal 1/12 binary64)))
(+ (* -1/1152 (* (pow f 2) (pow (PI) 3))) (* 1/12 (PI)))
(*.f64 (PI.f64) (fma.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 #s(literal -1/1152 binary64) (*.f64 f f)) #s(literal 1/12 binary64)))
(+ (* -1/1152 (* (pow f 2) (pow (PI) 3))) (* 1/12 (PI)))
(*.f64 (PI.f64) (fma.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 #s(literal -1/1152 binary64) (*.f64 f f)) #s(literal 1/12 binary64)))
(* -1/1152 (* (pow f 2) (pow (PI) 3)))
(*.f64 (*.f64 f f) (*.f64 #s(literal -1/1152 binary64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))))
(* (pow f 2) (+ (* -1/1152 (pow (PI) 3)) (* 1/12 (/ (PI) (pow f 2)))))
(*.f64 (*.f64 f f) (*.f64 (PI.f64) (fma.f64 #s(literal -1/1152 binary64) (*.f64 (PI.f64) (PI.f64)) (/.f64 #s(literal 1/12 binary64) (*.f64 f f)))))
(* (pow f 2) (+ (* -1/1152 (pow (PI) 3)) (* 1/12 (/ (PI) (pow f 2)))))
(*.f64 (*.f64 f f) (*.f64 (PI.f64) (fma.f64 #s(literal -1/1152 binary64) (*.f64 (PI.f64) (PI.f64)) (/.f64 #s(literal 1/12 binary64) (*.f64 f f)))))
(* (pow f 2) (+ (* -1/1152 (pow (PI) 3)) (* 1/12 (/ (PI) (pow f 2)))))
(*.f64 (*.f64 f f) (*.f64 (PI.f64) (fma.f64 #s(literal -1/1152 binary64) (*.f64 (PI.f64) (PI.f64)) (/.f64 #s(literal 1/12 binary64) (*.f64 f f)))))
(* -1/1152 (* (pow f 2) (pow (PI) 3)))
(*.f64 (*.f64 f f) (*.f64 #s(literal -1/1152 binary64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))))
(* (pow f 2) (+ (* -1/1152 (pow (PI) 3)) (* 1/12 (/ (PI) (pow f 2)))))
(*.f64 (*.f64 f f) (*.f64 (PI.f64) (fma.f64 #s(literal -1/1152 binary64) (*.f64 (PI.f64) (PI.f64)) (/.f64 #s(literal 1/12 binary64) (*.f64 f f)))))
(* (pow f 2) (+ (* -1/1152 (pow (PI) 3)) (* 1/12 (/ (PI) (pow f 2)))))
(*.f64 (*.f64 f f) (*.f64 (PI.f64) (fma.f64 #s(literal -1/1152 binary64) (*.f64 (PI.f64) (PI.f64)) (/.f64 #s(literal 1/12 binary64) (*.f64 f f)))))
(* (pow f 2) (+ (* -1/1152 (pow (PI) 3)) (* 1/12 (/ (PI) (pow f 2)))))
(*.f64 (*.f64 f f) (*.f64 (PI.f64) (fma.f64 #s(literal -1/1152 binary64) (*.f64 (PI.f64) (PI.f64)) (/.f64 #s(literal 1/12 binary64) (*.f64 f f)))))
(/ (- (log (/ 4 (PI))) (log f)) (PI))
(/.f64 (-.f64 (neg.f64 (log.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)))) (log.f64 f)) (PI.f64))
(/ (- (log (/ 4 (PI))) (log f)) (PI))
(/.f64 (-.f64 (neg.f64 (log.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)))) (log.f64 f)) (PI.f64))
(/ (- (log (/ 4 (PI))) (log f)) (PI))
(/.f64 (-.f64 (neg.f64 (log.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)))) (log.f64 f)) (PI.f64))
(/ (- (log (/ 4 (PI))) (log f)) (PI))
(/.f64 (-.f64 (neg.f64 (log.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)))) (log.f64 f)) (PI.f64))
(/ (- (log (/ 4 (PI))) (* -1 (log (/ 1 f)))) (PI))
(/.f64 (-.f64 (neg.f64 (log.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)))) (log.f64 f)) (PI.f64))
(/ (- (log (/ 4 (PI))) (* -1 (log (/ 1 f)))) (PI))
(/.f64 (-.f64 (neg.f64 (log.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)))) (log.f64 f)) (PI.f64))
(/ (- (log (/ 4 (PI))) (* -1 (log (/ 1 f)))) (PI))
(/.f64 (-.f64 (neg.f64 (log.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)))) (log.f64 f)) (PI.f64))
(/ (- (log (/ 4 (PI))) (* -1 (log (/ 1 f)))) (PI))
(/.f64 (-.f64 (neg.f64 (log.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)))) (log.f64 f)) (PI.f64))
(/ (- (log (/ 4 (PI))) (+ (log -1) (* -1 (log (/ -1 f))))) (PI))
(/.f64 (+.f64 (neg.f64 (log.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)))) (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) f)) (log.f64 #s(literal -1 binary64)))) (PI.f64))
(/ (- (log (/ 4 (PI))) (+ (log -1) (* -1 (log (/ -1 f))))) (PI))
(/.f64 (+.f64 (neg.f64 (log.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)))) (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) f)) (log.f64 #s(literal -1 binary64)))) (PI.f64))
(/ (- (log (/ 4 (PI))) (+ (log -1) (* -1 (log (/ -1 f))))) (PI))
(/.f64 (+.f64 (neg.f64 (log.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)))) (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) f)) (log.f64 #s(literal -1 binary64)))) (PI.f64))
(/ (- (log (/ 4 (PI))) (+ (log -1) (* -1 (log (/ -1 f))))) (PI))
(/.f64 (+.f64 (neg.f64 (log.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)))) (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) f)) (log.f64 #s(literal -1 binary64)))) (PI.f64))
(* 1/12 (* (pow f 2) (PI)))
(*.f64 (PI.f64) (*.f64 #s(literal 1/12 binary64) (*.f64 f f)))
(* (pow f 2) (+ (* -1/1152 (* (pow f 2) (pow (PI) 3))) (* 1/12 (PI))))
(*.f64 (*.f64 f f) (*.f64 (PI.f64) (fma.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 #s(literal -1/1152 binary64) (*.f64 f f)) #s(literal 1/12 binary64))))
(* (pow f 2) (+ (* -1/1152 (* (pow f 2) (pow (PI) 3))) (* 1/12 (PI))))
(*.f64 (*.f64 f f) (*.f64 (PI.f64) (fma.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 #s(literal -1/1152 binary64) (*.f64 f f)) #s(literal 1/12 binary64))))
(* (pow f 2) (+ (* -1/1152 (* (pow f 2) (pow (PI) 3))) (* 1/12 (PI))))
(*.f64 (*.f64 f f) (*.f64 (PI.f64) (fma.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 #s(literal -1/1152 binary64) (*.f64 f f)) #s(literal 1/12 binary64))))
(* -1/1152 (* (pow f 4) (pow (PI) 3)))
(*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (*.f64 #s(literal -1/1152 binary64) (pow.f64 f #s(literal 4 binary64))))
(* (pow f 4) (+ (* -1/1152 (pow (PI) 3)) (* 1/12 (/ (PI) (pow f 2)))))
(*.f64 (*.f64 (PI.f64) (fma.f64 #s(literal -1/1152 binary64) (*.f64 (PI.f64) (PI.f64)) (/.f64 #s(literal 1/12 binary64) (*.f64 f f)))) (pow.f64 f #s(literal 4 binary64)))
(* (pow f 4) (+ (* -1/1152 (pow (PI) 3)) (* 1/12 (/ (PI) (pow f 2)))))
(*.f64 (*.f64 (PI.f64) (fma.f64 #s(literal -1/1152 binary64) (*.f64 (PI.f64) (PI.f64)) (/.f64 #s(literal 1/12 binary64) (*.f64 f f)))) (pow.f64 f #s(literal 4 binary64)))
(* (pow f 4) (+ (* -1/1152 (pow (PI) 3)) (* 1/12 (/ (PI) (pow f 2)))))
(*.f64 (*.f64 (PI.f64) (fma.f64 #s(literal -1/1152 binary64) (*.f64 (PI.f64) (PI.f64)) (/.f64 #s(literal 1/12 binary64) (*.f64 f f)))) (pow.f64 f #s(literal 4 binary64)))
(* -1/1152 (* (pow f 4) (pow (PI) 3)))
(*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (*.f64 #s(literal -1/1152 binary64) (pow.f64 f #s(literal 4 binary64))))
(* (pow f 4) (+ (* -1/1152 (pow (PI) 3)) (* 1/12 (/ (PI) (pow f 2)))))
(*.f64 (*.f64 (PI.f64) (fma.f64 #s(literal -1/1152 binary64) (*.f64 (PI.f64) (PI.f64)) (/.f64 #s(literal 1/12 binary64) (*.f64 f f)))) (pow.f64 f #s(literal 4 binary64)))
(* (pow f 4) (+ (* -1/1152 (pow (PI) 3)) (* 1/12 (/ (PI) (pow f 2)))))
(*.f64 (*.f64 (PI.f64) (fma.f64 #s(literal -1/1152 binary64) (*.f64 (PI.f64) (PI.f64)) (/.f64 #s(literal 1/12 binary64) (*.f64 f f)))) (pow.f64 f #s(literal 4 binary64)))
(* (pow f 4) (+ (* -1/1152 (pow (PI) 3)) (* 1/12 (/ (PI) (pow f 2)))))
(*.f64 (*.f64 (PI.f64) (fma.f64 #s(literal -1/1152 binary64) (*.f64 (PI.f64) (PI.f64)) (/.f64 #s(literal 1/12 binary64) (*.f64 f f)))) (pow.f64 f #s(literal 4 binary64)))
(* 4 (/ (+ (log (/ 4 (PI))) (* -1 (log f))) (PI)))
(*.f64 (-.f64 (neg.f64 (log.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)))) (log.f64 f)) (/.f64 #s(literal 4 binary64) (PI.f64)))
(* 4 (/ (+ (log (/ 4 (PI))) (* -1 (log f))) (PI)))
(*.f64 (-.f64 (neg.f64 (log.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)))) (log.f64 f)) (/.f64 #s(literal 4 binary64) (PI.f64)))
(* 4 (/ (+ (log (/ 4 (PI))) (* -1 (log f))) (PI)))
(*.f64 (-.f64 (neg.f64 (log.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)))) (log.f64 f)) (/.f64 #s(literal 4 binary64) (PI.f64)))
(* 4 (/ (+ (log (/ 4 (PI))) (* -1 (log f))) (PI)))
(*.f64 (-.f64 (neg.f64 (log.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)))) (log.f64 f)) (/.f64 #s(literal 4 binary64) (PI.f64)))
(* 4 (/ (+ (log (/ 1 f)) (log (/ 4 (PI)))) (PI)))
(*.f64 (-.f64 (neg.f64 (log.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)))) (log.f64 f)) (/.f64 #s(literal 4 binary64) (PI.f64)))
(* 4 (/ (+ (log (/ 1 f)) (log (/ 4 (PI)))) (PI)))
(*.f64 (-.f64 (neg.f64 (log.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)))) (log.f64 f)) (/.f64 #s(literal 4 binary64) (PI.f64)))
(* 4 (/ (+ (log (/ 1 f)) (log (/ 4 (PI)))) (PI)))
(*.f64 (-.f64 (neg.f64 (log.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)))) (log.f64 f)) (/.f64 #s(literal 4 binary64) (PI.f64)))
(* 4 (/ (+ (log (/ 1 f)) (log (/ 4 (PI)))) (PI)))
(*.f64 (-.f64 (neg.f64 (log.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)))) (log.f64 f)) (/.f64 #s(literal 4 binary64) (PI.f64)))
(* 4 (/ (+ (log (/ -4 (PI))) (log (/ -1 f))) (PI)))
(*.f64 (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) f)) (log.f64 (/.f64 #s(literal -4 binary64) (PI.f64)))) (/.f64 #s(literal 4 binary64) (PI.f64)))
(* 4 (/ (+ (log (/ -4 (PI))) (log (/ -1 f))) (PI)))
(*.f64 (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) f)) (log.f64 (/.f64 #s(literal -4 binary64) (PI.f64)))) (/.f64 #s(literal 4 binary64) (PI.f64)))
(* 4 (/ (+ (log (/ -4 (PI))) (log (/ -1 f))) (PI)))
(*.f64 (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) f)) (log.f64 (/.f64 #s(literal -4 binary64) (PI.f64)))) (/.f64 #s(literal 4 binary64) (PI.f64)))
(* 4 (/ (+ (log (/ -4 (PI))) (log (/ -1 f))) (PI)))
(*.f64 (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) f)) (log.f64 (/.f64 #s(literal -4 binary64) (PI.f64)))) (/.f64 #s(literal 4 binary64) (PI.f64)))
(/ 4 (* f (PI)))
(/.f64 #s(literal 4 binary64) (*.f64 (PI.f64) f))
(/ 4 (* f (PI)))
(/.f64 #s(literal 4 binary64) (*.f64 (PI.f64) f))
(/ 4 (* f (PI)))
(/.f64 #s(literal 4 binary64) (*.f64 (PI.f64) f))
(/ 4 (* f (PI)))
(/.f64 #s(literal 4 binary64) (*.f64 (PI.f64) f))
(/ 4 (* f (PI)))
(/.f64 #s(literal 4 binary64) (*.f64 (PI.f64) f))
(/ 4 (* f (PI)))
(/.f64 #s(literal 4 binary64) (*.f64 (PI.f64) f))
(/ 4 (* f (PI)))
(/.f64 #s(literal 4 binary64) (*.f64 (PI.f64) f))
(/ 4 (* f (PI)))
(/.f64 #s(literal 4 binary64) (*.f64 (PI.f64) f))
(/ 4 (* f (PI)))
(/.f64 #s(literal 4 binary64) (*.f64 (PI.f64) f))
(/ 4 (* f (PI)))
(/.f64 #s(literal 4 binary64) (*.f64 (PI.f64) f))
(/ 4 (* f (PI)))
(/.f64 #s(literal 4 binary64) (*.f64 (PI.f64) f))
(/ 4 (* f (PI)))
(/.f64 #s(literal 4 binary64) (*.f64 (PI.f64) f))
(* f (PI))
(*.f64 (PI.f64) f)
(* f (PI))
(*.f64 (PI.f64) f)
(* f (PI))
(*.f64 (PI.f64) f)
(* f (PI))
(*.f64 (PI.f64) f)
(* f (PI))
(*.f64 (PI.f64) f)
(* f (PI))
(*.f64 (PI.f64) f)
(* f (PI))
(*.f64 (PI.f64) f)
(* f (PI))
(*.f64 (PI.f64) f)
(* f (PI))
(*.f64 (PI.f64) f)
(* f (PI))
(*.f64 (PI.f64) f)
(* f (PI))
(*.f64 (PI.f64) f)
(* f (PI))
(*.f64 (PI.f64) f)
(+ (log (/ 4 (PI))) (* -1 (log f)))
(-.f64 (neg.f64 (log.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)))) (log.f64 f))
(+ (log (/ 4 (PI))) (* -1 (log f)))
(-.f64 (neg.f64 (log.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)))) (log.f64 f))
(+ (log (/ 4 (PI))) (* -1 (log f)))
(-.f64 (neg.f64 (log.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)))) (log.f64 f))
(+ (log (/ 4 (PI))) (* -1 (log f)))
(-.f64 (neg.f64 (log.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)))) (log.f64 f))
(+ (log (/ 1 f)) (log (/ 4 (PI))))
(-.f64 (neg.f64 (log.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)))) (log.f64 f))
(+ (log (/ 1 f)) (log (/ 4 (PI))))
(-.f64 (neg.f64 (log.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)))) (log.f64 f))
(+ (log (/ 1 f)) (log (/ 4 (PI))))
(-.f64 (neg.f64 (log.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)))) (log.f64 f))
(+ (log (/ 1 f)) (log (/ 4 (PI))))
(-.f64 (neg.f64 (log.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)))) (log.f64 f))
(+ (log (/ -4 (PI))) (log (/ -1 f)))
(+.f64 (log.f64 (/.f64 #s(literal -1 binary64) f)) (log.f64 (/.f64 #s(literal -4 binary64) (PI.f64))))
(+ (log (/ -4 (PI))) (log (/ -1 f)))
(+.f64 (log.f64 (/.f64 #s(literal -1 binary64) f)) (log.f64 (/.f64 #s(literal -4 binary64) (PI.f64))))
(+ (log (/ -4 (PI))) (log (/ -1 f)))
(+.f64 (log.f64 (/.f64 #s(literal -1 binary64) f)) (log.f64 (/.f64 #s(literal -4 binary64) (PI.f64))))
(+ (log (/ -4 (PI))) (log (/ -1 f)))
(+.f64 (log.f64 (/.f64 #s(literal -1 binary64) f)) (log.f64 (/.f64 #s(literal -4 binary64) (PI.f64))))
(* 4 (/ (+ (log f) (log (* 1/12 (PI)))) (PI)))
(*.f64 (+.f64 (log.f64 f) (log.f64 (*.f64 #s(literal 1/12 binary64) (PI.f64)))) (/.f64 #s(literal 4 binary64) (PI.f64)))
(* 4 (/ (+ (log f) (log (* 1/12 (PI)))) (PI)))
(*.f64 (+.f64 (log.f64 f) (log.f64 (*.f64 #s(literal 1/12 binary64) (PI.f64)))) (/.f64 #s(literal 4 binary64) (PI.f64)))
(* 4 (/ (+ (log f) (log (* 1/12 (PI)))) (PI)))
(*.f64 (+.f64 (log.f64 f) (log.f64 (*.f64 #s(literal 1/12 binary64) (PI.f64)))) (/.f64 #s(literal 4 binary64) (PI.f64)))
(* 4 (/ (+ (log f) (log (* 1/12 (PI)))) (PI)))
(*.f64 (+.f64 (log.f64 f) (log.f64 (*.f64 #s(literal 1/12 binary64) (PI.f64)))) (/.f64 #s(literal 4 binary64) (PI.f64)))
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(* 1/4 (* f (PI)))
(*.f64 f (*.f64 (PI.f64) #s(literal 1/4 binary64)))
(* 1/4 (* f (PI)))
(*.f64 f (*.f64 (PI.f64) #s(literal 1/4 binary64)))
(* 1/4 (* f (PI)))
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simplify328.0ms (2%)

Memory
13.1MiB live, 324.7MiB allocated
Algorithm
1×egg-herbie
Rules
2×1-exp
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0232427215
1232527215
0232527215
Stop Event
1×saturated
1×saturated
Counts
1 103 → 0
Calls
Call 1
Inputs
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(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) f)) (neg.f64 (/.f64 #s(literal 4 binary64) (PI.f64))))
(pow.f64 (/.f64 #s(literal 4 binary64) (*.f64 (PI.f64) f)) #s(literal -1 binary64))
(pow.f64 (*.f64 f (*.f64 (PI.f64) #s(literal 1/4 binary64))) #s(literal 1 binary64))
(*.f64 (PI.f64) (*.f64 f #s(literal 1/4 binary64)))
(*.f64 (PI.f64) (/.f64 f #s(literal 4 binary64)))
(*.f64 (PI.f64) (log.f64 (exp.f64 (*.f64 f #s(literal 1/4 binary64)))))
(*.f64 f (*.f64 (PI.f64) #s(literal 1/4 binary64)))
(*.f64 f (log.f64 (exp.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)))))
(*.f64 #s(literal 1 binary64) (*.f64 f (*.f64 (PI.f64) #s(literal 1/4 binary64))))
(*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)
(*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) (/.f64 f #s(literal 1 binary64)))
(*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64))
(*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f))
(*.f64 #s(literal 1/4 binary64) (log.f64 (exp.f64 (*.f64 (PI.f64) f))))
(*.f64 #s(literal 1/4 binary64) (/.f64 f (/.f64 #s(literal 1 binary64) (PI.f64))))
(*.f64 (*.f64 f (*.f64 (PI.f64) #s(literal 1/4 binary64))) #s(literal 1 binary64))
(*.f64 #s(literal -1/4 binary64) (/.f64 f (/.f64 #s(literal 1 binary64) (neg.f64 (PI.f64)))))
(*.f64 #s(literal -1 binary64) (/.f64 f (/.f64 #s(literal -1 binary64) (*.f64 (PI.f64) #s(literal 1/4 binary64)))))
(*.f64 (*.f64 f #s(literal 1/4 binary64)) (PI.f64))
(*.f64 (*.f64 (*.f64 f #s(literal 1/4 binary64)) #s(literal 1 binary64)) (PI.f64))
(*.f64 (*.f64 (*.f64 f #s(literal 1/4 binary64)) (pow.f64 (PI.f64) #s(literal 2/3 binary64))) (cbrt.f64 (PI.f64)))
(*.f64 (*.f64 (*.f64 f #s(literal 1/4 binary64)) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)))
(*.f64 (/.f64 f #s(literal 4 binary64)) (PI.f64))
(*.f64 (/.f64 f #s(literal 1 binary64)) (*.f64 (PI.f64) #s(literal 1/4 binary64)))
(*.f64 (/.f64 f #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 (PI.f64) #s(literal 1/4 binary64)))))
(*.f64 (/.f64 f #s(literal -4 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (PI.f64)))))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (PI.f64)))) (/.f64 f #s(literal -4 binary64)))
(*.f64 (/.f64 f (/.f64 #s(literal 1 binary64) (PI.f64))) #s(literal 1/4 binary64))
(*.f64 (/.f64 f (/.f64 #s(literal 1 binary64) (neg.f64 (PI.f64)))) #s(literal -1/4 binary64))
(*.f64 (/.f64 f (pow.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) #s(literal -1/2 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) #s(literal -1/2 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) #s(literal -1/2 binary64))) (/.f64 f (pow.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) #s(literal -1/2 binary64))))
Outputs
(log.f64 (/.f64 #s(literal 4 binary64) (PI.f64)))
(+.f64 (neg.f64 (log.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)))) #s(literal 0 binary64))
(+.f64 (log.f64 #s(literal 4 binary64)) (neg.f64 (log.f64 (PI.f64))))
(+.f64 #s(literal 0 binary64) (neg.f64 (log.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)))))
(+.f64 (log.f64 #s(literal -4 binary64)) (log.f64 (/.f64 #s(literal 1 binary64) (neg.f64 (PI.f64)))))
(+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) (*.f64 (PI.f64) #s(literal 1/4 binary64)))))
(+.f64 (neg.f64 (log.f64 (PI.f64))) (log.f64 #s(literal 4 binary64)))
(+.f64 (log.f64 (/.f64 #s(literal 1 binary64) (neg.f64 (PI.f64)))) (log.f64 #s(literal -4 binary64)))
(+.f64 (log.f64 (pow.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) #s(literal -1/2 binary64))) (log.f64 (pow.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) #s(literal -1/2 binary64))))
(-.f64 (log.f64 #s(literal 4 binary64)) (log.f64 (PI.f64)))
(-.f64 (log.f64 #s(literal 4 binary64)) (log.f64 (neg.f64 (neg.f64 (PI.f64)))))
(-.f64 #s(literal 0 binary64) (log.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64))))
(-.f64 (log.f64 #s(literal -4 binary64)) (log.f64 (neg.f64 (PI.f64))))
(-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (*.f64 (PI.f64) #s(literal -1/4 binary64))))
(-.f64 (neg.f64 (log.f64 (PI.f64))) (log.f64 #s(literal 1/4 binary64)))
(-.f64 (log.f64 (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64)))) (*.f64 #s(literal 1/2 binary64) (log.f64 (PI.f64))))
(-.f64 (log.f64 (/.f64 #s(literal 4 binary64) (pow.f64 (PI.f64) #s(literal 2/3 binary64)))) (*.f64 #s(literal 1/3 binary64) (log.f64 (PI.f64))))
(-.f64 (/.f64 (pow.f64 (log.f64 #s(literal 4 binary64)) #s(literal 3 binary64)) (+.f64 (pow.f64 (log.f64 #s(literal 4 binary64)) #s(literal 2 binary64)) (+.f64 (pow.f64 (log.f64 (PI.f64)) #s(literal 2 binary64)) (*.f64 (log.f64 #s(literal 4 binary64)) (log.f64 (PI.f64)))))) (/.f64 (pow.f64 (log.f64 (PI.f64)) #s(literal 3 binary64)) (+.f64 (pow.f64 (log.f64 #s(literal 4 binary64)) #s(literal 2 binary64)) (+.f64 (pow.f64 (log.f64 (PI.f64)) #s(literal 2 binary64)) (*.f64 (log.f64 #s(literal 4 binary64)) (log.f64 (PI.f64)))))))
(-.f64 (/.f64 (pow.f64 (log.f64 #s(literal 4 binary64)) #s(literal 2 binary64)) (log.f64 (*.f64 #s(literal 4 binary64) (PI.f64)))) (/.f64 (pow.f64 (log.f64 (PI.f64)) #s(literal 2 binary64)) (log.f64 (*.f64 #s(literal 4 binary64) (PI.f64)))))
(fma.f64 #s(literal -1 binary64) (log.f64 (PI.f64)) (log.f64 #s(literal 4 binary64)))
(fma.f64 #s(literal -1 binary64) (log.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64))) #s(literal 0 binary64))
(fma.f64 (log.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64))) #s(literal -1 binary64) #s(literal 0 binary64))
(neg.f64 (log.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64))))
(/.f64 (-.f64 (pow.f64 (log.f64 #s(literal 4 binary64)) #s(literal 3 binary64)) (pow.f64 (log.f64 (PI.f64)) #s(literal 3 binary64))) (+.f64 (pow.f64 (log.f64 #s(literal 4 binary64)) #s(literal 2 binary64)) (+.f64 (pow.f64 (log.f64 (PI.f64)) #s(literal 2 binary64)) (*.f64 (log.f64 #s(literal 4 binary64)) (log.f64 (PI.f64))))))
(/.f64 (-.f64 (pow.f64 (log.f64 #s(literal 4 binary64)) #s(literal 2 binary64)) (pow.f64 (log.f64 (PI.f64)) #s(literal 2 binary64))) (log.f64 (*.f64 #s(literal 4 binary64) (PI.f64))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log.f64 #s(literal 4 binary64)) #s(literal 3 binary64)) (pow.f64 (log.f64 (PI.f64)) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (log.f64 #s(literal 4 binary64)) #s(literal 2 binary64)) (+.f64 (pow.f64 (log.f64 (PI.f64)) #s(literal 2 binary64)) (*.f64 (log.f64 #s(literal 4 binary64)) (log.f64 (PI.f64)))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log.f64 #s(literal 4 binary64)) #s(literal 2 binary64)) (pow.f64 (log.f64 (PI.f64)) #s(literal 2 binary64)))) (neg.f64 (log.f64 (*.f64 #s(literal 4 binary64) (PI.f64)))))
(*.f64 #s(literal -1 binary64) (log.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64))))
(*.f64 (log.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64))) #s(literal -1 binary64))
(+.f64 (*.f64 (PI.f64) #s(literal 1/12 binary64)) (*.f64 (*.f64 (PI.f64) (*.f64 f f)) (*.f64 #s(literal -1/1152 binary64) (*.f64 (PI.f64) (PI.f64)))))
(+.f64 (*.f64 (*.f64 (PI.f64) (*.f64 f f)) (*.f64 #s(literal -1/1152 binary64) (*.f64 (PI.f64) (PI.f64)))) (*.f64 (PI.f64) #s(literal 1/12 binary64)))
(-.f64 (/.f64 (*.f64 (*.f64 (*.f64 (PI.f64) (*.f64 f f)) (*.f64 #s(literal -1/1152 binary64) (*.f64 (PI.f64) (PI.f64)))) (*.f64 (*.f64 (PI.f64) (*.f64 f f)) (*.f64 #s(literal -1/1152 binary64) (*.f64 (PI.f64) (PI.f64))))) (-.f64 (*.f64 (*.f64 (PI.f64) (*.f64 f f)) (*.f64 #s(literal -1/1152 binary64) (*.f64 (PI.f64) (PI.f64)))) (*.f64 (PI.f64) #s(literal 1/12 binary64)))) (/.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/12 binary64)) (*.f64 (PI.f64) #s(literal 1/12 binary64))) (-.f64 (*.f64 (*.f64 (PI.f64) (*.f64 f f)) (*.f64 #s(literal -1/1152 binary64) (*.f64 (PI.f64) (PI.f64)))) (*.f64 (PI.f64) #s(literal 1/12 binary64)))))
(fma.f64 (PI.f64) #s(literal 1/12 binary64) (*.f64 (*.f64 (PI.f64) (*.f64 f f)) (*.f64 #s(literal -1/1152 binary64) (*.f64 (PI.f64) (PI.f64)))))
(fma.f64 (PI.f64) (*.f64 (*.f64 f f) (*.f64 #s(literal -1/1152 binary64) (*.f64 (PI.f64) (PI.f64)))) (*.f64 (PI.f64) #s(literal 1/12 binary64)))
(fma.f64 (*.f64 f f) (*.f64 (*.f64 #s(literal -1/1152 binary64) (*.f64 (PI.f64) (PI.f64))) (PI.f64)) (*.f64 (PI.f64) #s(literal 1/12 binary64)))
(fma.f64 (*.f64 f (*.f64 f #s(literal -1/8 binary64))) (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/144 binary64))) (PI.f64)) (*.f64 (PI.f64) #s(literal 1/12 binary64)))
(fma.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/144 binary64))) (*.f64 (*.f64 f (*.f64 f #s(literal -1/8 binary64))) (PI.f64)) (*.f64 (PI.f64) #s(literal 1/12 binary64)))
(fma.f64 #s(literal 1/12 binary64) (PI.f64) (*.f64 (*.f64 (PI.f64) (*.f64 f f)) (*.f64 #s(literal -1/1152 binary64) (*.f64 (PI.f64) (PI.f64)))))
(fma.f64 #s(literal 1 binary64) (*.f64 (PI.f64) #s(literal 1/12 binary64)) (*.f64 (*.f64 (PI.f64) (*.f64 f f)) (*.f64 #s(literal -1/1152 binary64) (*.f64 (PI.f64) (PI.f64)))))
(fma.f64 #s(literal 1 binary64) (*.f64 (*.f64 (PI.f64) (*.f64 f f)) (*.f64 #s(literal -1/1152 binary64) (*.f64 (PI.f64) (PI.f64)))) (*.f64 (PI.f64) #s(literal 1/12 binary64)))
(fma.f64 (*.f64 (*.f64 f f) (*.f64 #s(literal -1/1152 binary64) (*.f64 (PI.f64) (PI.f64)))) (PI.f64) (*.f64 (PI.f64) #s(literal 1/12 binary64)))
(fma.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (*.f64 (cbrt.f64 (PI.f64)) (*.f64 (*.f64 f f) (*.f64 #s(literal -1/1152 binary64) (*.f64 (PI.f64) (PI.f64))))) (*.f64 (PI.f64) #s(literal 1/12 binary64)))
(fma.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (*.f64 (cbrt.f64 (PI.f64)) #s(literal 1/12 binary64)) (*.f64 (*.f64 (PI.f64) (*.f64 f f)) (*.f64 #s(literal -1/1152 binary64) (*.f64 (PI.f64) (PI.f64)))))
(fma.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) (*.f64 (*.f64 f f) (*.f64 #s(literal -1/1152 binary64) (*.f64 (PI.f64) (PI.f64))))) (*.f64 (PI.f64) #s(literal 1/12 binary64)))
(fma.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/12 binary64)) (*.f64 (*.f64 (PI.f64) (*.f64 f f)) (*.f64 #s(literal -1/1152 binary64) (*.f64 (PI.f64) (PI.f64)))))
(fma.f64 (*.f64 (PI.f64) (*.f64 f f)) (*.f64 #s(literal -1/1152 binary64) (*.f64 (PI.f64) (PI.f64))) (*.f64 (PI.f64) #s(literal 1/12 binary64)))
(fma.f64 (*.f64 (*.f64 f f) (*.f64 #s(literal -1/8 binary64) (*.f64 (PI.f64) (PI.f64)))) (*.f64 (PI.f64) #s(literal 1/144 binary64)) (*.f64 (PI.f64) #s(literal 1/12 binary64)))
(fma.f64 (*.f64 (PI.f64) (*.f64 f (*.f64 f #s(literal -1/8 binary64)))) (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/144 binary64))) (*.f64 (PI.f64) #s(literal 1/12 binary64)))
(fma.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/144 binary64)))) (*.f64 f (*.f64 f #s(literal -1/8 binary64))) (*.f64 (PI.f64) #s(literal 1/12 binary64)))
(fma.f64 (*.f64 (PI.f64) (*.f64 (*.f64 f f) (*.f64 #s(literal -1/8 binary64) (*.f64 (PI.f64) (PI.f64))))) #s(literal 1/144 binary64) (*.f64 (PI.f64) #s(literal 1/12 binary64)))
(fma.f64 (*.f64 #s(literal 1/12 binary64) (pow.f64 (PI.f64) #s(literal 2/3 binary64))) (cbrt.f64 (PI.f64)) (*.f64 (*.f64 (PI.f64) (*.f64 f f)) (*.f64 #s(literal -1/1152 binary64) (*.f64 (PI.f64) (PI.f64)))))
(fma.f64 (*.f64 #s(literal 1/12 binary64) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (*.f64 (*.f64 (PI.f64) (*.f64 f f)) (*.f64 #s(literal -1/1152 binary64) (*.f64 (PI.f64) (PI.f64)))))
(fma.f64 (*.f64 (*.f64 (*.f64 f f) (*.f64 #s(literal -1/1152 binary64) (*.f64 (PI.f64) (PI.f64)))) #s(literal 1 binary64)) (PI.f64) (*.f64 (PI.f64) #s(literal 1/12 binary64)))
(fma.f64 (*.f64 (*.f64 (*.f64 f f) (*.f64 #s(literal -1/1152 binary64) (*.f64 (PI.f64) (PI.f64)))) (pow.f64 (PI.f64) #s(literal 2/3 binary64))) (cbrt.f64 (PI.f64)) (*.f64 (PI.f64) #s(literal 1/12 binary64)))
(fma.f64 (*.f64 (*.f64 (*.f64 f f) (*.f64 #s(literal -1/1152 binary64) (*.f64 (PI.f64) (PI.f64)))) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (*.f64 (PI.f64) #s(literal 1/12 binary64)))
(/.f64 (fma.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (*.f64 (*.f64 (*.f64 f f) (*.f64 (*.f64 f f) (*.f64 f f))) (*.f64 #s(literal -1/1528823808 binary64) (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))))) (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/1728 binary64))) (fma.f64 (*.f64 (*.f64 (PI.f64) (*.f64 f f)) (*.f64 #s(literal -1/1152 binary64) (*.f64 (PI.f64) (PI.f64)))) (*.f64 (*.f64 (PI.f64) (*.f64 f f)) (*.f64 #s(literal -1/1152 binary64) (*.f64 (PI.f64) (PI.f64)))) (-.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/12 binary64)) (*.f64 (PI.f64) #s(literal 1/12 binary64))) (*.f64 (*.f64 (*.f64 (PI.f64) (*.f64 f f)) (*.f64 #s(literal -1/1152 binary64) (*.f64 (PI.f64) (PI.f64)))) (*.f64 (PI.f64) #s(literal 1/12 binary64))))))
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 (PI.f64) (*.f64 f f)) (*.f64 #s(literal -1/1152 binary64) (*.f64 (PI.f64) (PI.f64)))) (*.f64 (*.f64 (PI.f64) (*.f64 f f)) (*.f64 #s(literal -1/1152 binary64) (*.f64 (PI.f64) (PI.f64))))) (*.f64 (*.f64 (PI.f64) #s(literal 1/12 binary64)) (*.f64 (PI.f64) #s(literal 1/12 binary64)))) (-.f64 (*.f64 (*.f64 (PI.f64) (*.f64 f f)) (*.f64 #s(literal -1/1152 binary64) (*.f64 (PI.f64) (PI.f64)))) (*.f64 (PI.f64) #s(literal 1/12 binary64))))
(/.f64 (*.f64 (PI.f64) (fma.f64 (*.f64 (*.f64 f f) (*.f64 (*.f64 f f) (*.f64 f f))) (*.f64 #s(literal -1/1528823808 binary64) (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))))) #s(literal 1/1728 binary64))) (-.f64 (fma.f64 (*.f64 (*.f64 f f) (*.f64 #s(literal -1/1152 binary64) (*.f64 (PI.f64) (PI.f64)))) (*.f64 (*.f64 f f) (*.f64 #s(literal -1/1152 binary64) (*.f64 (PI.f64) (PI.f64)))) #s(literal 1/144 binary64)) (*.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 f f) (*.f64 #s(literal -1/1152 binary64) (*.f64 (PI.f64) (PI.f64)))))))
(/.f64 (*.f64 (PI.f64) (fma.f64 (*.f64 (*.f64 f f) (*.f64 #s(literal -1/1152 binary64) (*.f64 (PI.f64) (PI.f64)))) (*.f64 (*.f64 f f) (*.f64 #s(literal -1/1152 binary64) (*.f64 (PI.f64) (PI.f64)))) #s(literal -1/144 binary64))) (fma.f64 (*.f64 f f) (*.f64 #s(literal -1/1152 binary64) (*.f64 (PI.f64) (PI.f64))) #s(literal -1/12 binary64)))
(/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 f f) (*.f64 (*.f64 f f) (*.f64 f f))) (*.f64 #s(literal -1/1528823808 binary64) (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))))) #s(literal 1/1728 binary64)) (PI.f64)) (-.f64 (fma.f64 (*.f64 (*.f64 f f) (*.f64 #s(literal -1/1152 binary64) (*.f64 (PI.f64) (PI.f64)))) (*.f64 (*.f64 f f) (*.f64 #s(literal -1/1152 binary64) (*.f64 (PI.f64) (PI.f64)))) #s(literal 1/144 binary64)) (*.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 f f) (*.f64 #s(literal -1/1152 binary64) (*.f64 (PI.f64) (PI.f64)))))))
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(*.f64 (/.f64 f (/.f64 #s(literal 1 binary64) (PI.f64))) #s(literal 1/4 binary64))
(*.f64 (/.f64 f (/.f64 #s(literal 1 binary64) (neg.f64 (PI.f64)))) #s(literal -1/4 binary64))
(*.f64 (/.f64 f (pow.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) #s(literal -1/2 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) #s(literal -1/2 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) #s(literal -1/2 binary64))) (/.f64 f (pow.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) #s(literal -1/2 binary64))))

eval50.0ms (0.3%)

Memory
24.9MiB live, 60.9MiB allocated
Compiler

Compiled 9 359 to 221 computations (97.6% saved)

prune28.0ms (0.2%)

Memory
-16.7MiB live, 23.1MiB allocated
Pruning

13 alts after pruning (9 fresh and 4 done)

PrunedKeptTotal
New4017408
Fresh123
Picked235
Done112
Total40513418
Accuracy
98.3%
Counts
418 → 13
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓97.0%
(neg.f64 (fma.f64 (-.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (log.f64 f)) (/.f64 #s(literal 4 binary64) (PI.f64)) (*.f64 (PI.f64) (*.f64 #s(literal 1/12 binary64) (*.f64 f f)))))
▶97.1%
(neg.f64 (fma.f64 #s(literal 4 binary64) (/.f64 (-.f64 (neg.f64 (log.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)))) (log.f64 f)) (PI.f64)) (*.f64 (*.f64 f f) (*.f64 (PI.f64) (fma.f64 (*.f64 (*.f64 f f) #s(literal -1/8 binary64)) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/144 binary64)) #s(literal 1/12 binary64))))))
97.1%
(neg.f64 (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) (*.f64 (PI.f64) (fma.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 #s(literal -1/1152 binary64) (*.f64 f f)) #s(literal 1/12 binary64))))))
✓96.8%
(neg.f64 (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (neg.f64 (log.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)))) (log.f64 f))) (PI.f64)))
▶97.0%
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (fma.f64 f (*.f64 (PI.f64) (*.f64 #s(literal 1/12 binary64) f)) (/.f64 #s(literal 4 binary64) (PI.f64))) f))))
96.7%
(neg.f64 (*.f64 (+.f64 (log.f64 f) (log.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)))) (/.f64 #s(literal -4 binary64) (PI.f64))))
✓1.6%
(neg.f64 (*.f64 (+.f64 (log.f64 f) (log.f64 (*.f64 (PI.f64) #s(literal 1/12 binary64)))) (/.f64 #s(literal 4 binary64) (PI.f64))))
▶47.6%
(neg.f64 (*.f64 (*.f64 f f) (fma.f64 (-.f64 (neg.f64 (log.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)))) (log.f64 f)) (/.f64 #s(literal 4 binary64) (*.f64 (PI.f64) (*.f64 f f))) (*.f64 #s(literal 1/12 binary64) (PI.f64)))))
✓7.5%
(neg.f64 (*.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))) (exp.f64 (*.f64 f (*.f64 (PI.f64) #s(literal -1/4 binary64))))) (-.f64 (exp.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))) (exp.f64 (*.f64 f (*.f64 (PI.f64) #s(literal -1/4 binary64))))))) (/.f64 #s(literal 4 binary64) (PI.f64))))
▶97.2%
(neg.f64 (*.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))) (exp.f64 (*.f64 f (*.f64 (PI.f64) #s(literal -1/4 binary64))))) (*.f64 f (fma.f64 (*.f64 f f) (fma.f64 (*.f64 f f) (*.f64 (pow.f64 (PI.f64) #s(literal 5 binary64)) #s(literal 1/61440 binary64)) (*.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/192 binary64)))) (*.f64 (PI.f64) #s(literal 1/2 binary64)))))) (/.f64 #s(literal 4 binary64) (PI.f64))))
97.0%
(neg.f64 (*.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))) (exp.f64 (*.f64 f (*.f64 (PI.f64) #s(literal -1/4 binary64))))) (*.f64 f (fma.f64 (*.f64 f f) (*.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/192 binary64))) (*.f64 (PI.f64) #s(literal 1/2 binary64)))))) (/.f64 #s(literal 4 binary64) (PI.f64))))
96.7%
(neg.f64 (*.f64 (log.f64 (/.f64 #s(literal 4 binary64) (*.f64 (PI.f64) f))) (/.f64 #s(literal 4 binary64) (PI.f64))))
▶4.3%
(neg.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/12 binary64) (*.f64 f f))))
Compiler

Compiled 529 to 366 computations (30.8% saved)

simplify444.0ms (2.7%)

Memory
14.0MiB live, 371.2MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(/.f64 (-.f64 (neg.f64 (log.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)))) (log.f64 f)) (PI.f64))
✓cost-diff128
(fma.f64 #s(literal 4 binary64) (/.f64 (-.f64 (neg.f64 (log.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)))) (log.f64 f)) (PI.f64)) (*.f64 (*.f64 f f) (*.f64 (PI.f64) (fma.f64 (*.f64 (*.f64 f f) #s(literal -1/8 binary64)) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/144 binary64)) #s(literal 1/12 binary64)))))
✓cost-diff128
(neg.f64 (fma.f64 #s(literal 4 binary64) (/.f64 (-.f64 (neg.f64 (log.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)))) (log.f64 f)) (PI.f64)) (*.f64 (*.f64 f f) (*.f64 (PI.f64) (fma.f64 (*.f64 (*.f64 f f) #s(literal -1/8 binary64)) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/144 binary64)) #s(literal 1/12 binary64))))))
✓cost-diff320
(fma.f64 (*.f64 (*.f64 f f) #s(literal -1/8 binary64)) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/144 binary64)) #s(literal 1/12 binary64))
✓cost-diff0
(*.f64 f f)
✓cost-diff128
(fma.f64 (-.f64 (neg.f64 (log.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)))) (log.f64 f)) (/.f64 #s(literal 4 binary64) (*.f64 (PI.f64) (*.f64 f f))) (*.f64 #s(literal 1/12 binary64) (PI.f64)))
✓cost-diff128
(neg.f64 (*.f64 (*.f64 f f) (fma.f64 (-.f64 (neg.f64 (log.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)))) (log.f64 f)) (/.f64 #s(literal 4 binary64) (*.f64 (PI.f64) (*.f64 f f))) (*.f64 #s(literal 1/12 binary64) (PI.f64)))))
✓cost-diff640
(*.f64 (*.f64 f f) (fma.f64 (-.f64 (neg.f64 (log.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)))) (log.f64 f)) (/.f64 #s(literal 4 binary64) (*.f64 (PI.f64) (*.f64 f f))) (*.f64 #s(literal 1/12 binary64) (PI.f64))))
✓cost-diff0
(/.f64 (PI.f64) #s(literal 4 binary64))
✓cost-diff0
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (fma.f64 f (*.f64 (PI.f64) (*.f64 #s(literal 1/12 binary64) f)) (/.f64 #s(literal 4 binary64) (PI.f64))) f)))
✓cost-diff128
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (fma.f64 f (*.f64 (PI.f64) (*.f64 #s(literal 1/12 binary64) f)) (/.f64 #s(literal 4 binary64) (PI.f64))) f))))
✓cost-diff704
(/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64)))
✓cost-diff0
(*.f64 #s(literal 1/12 binary64) (*.f64 f f))
✓cost-diff0
(PI.f64)
✓cost-diff0
(*.f64 (PI.f64) (*.f64 #s(literal 1/12 binary64) (*.f64 f f)))
✓cost-diff128
(neg.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/12 binary64) (*.f64 f f))))
✓cost-diff0
(/.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 f (fma.f64 (*.f64 f f) (fma.f64 (*.f64 f f) (*.f64 (pow.f64 (PI.f64) #s(literal 5 binary64)) #s(literal 1/61440 binary64)) (*.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/192 binary64)))) (*.f64 (PI.f64) #s(literal 1/2 binary64)))))
✓cost-diff0
(log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))) (exp.f64 (*.f64 f (*.f64 (PI.f64) #s(literal -1/4 binary64))))) (*.f64 f (fma.f64 (*.f64 f f) (fma.f64 (*.f64 f f) (*.f64 (pow.f64 (PI.f64) #s(literal 5 binary64)) #s(literal 1/61440 binary64)) (*.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/192 binary64)))) (*.f64 (PI.f64) #s(literal 1/2 binary64))))))
✓cost-diff0
(*.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))) (exp.f64 (*.f64 f (*.f64 (PI.f64) #s(literal -1/4 binary64))))) (*.f64 f (fma.f64 (*.f64 f f) (fma.f64 (*.f64 f f) (*.f64 (pow.f64 (PI.f64) #s(literal 5 binary64)) #s(literal 1/61440 binary64)) (*.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/192 binary64)))) (*.f64 (PI.f64) #s(literal 1/2 binary64)))))) (/.f64 #s(literal 4 binary64) (PI.f64)))
✓cost-diff128
(neg.f64 (*.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))) (exp.f64 (*.f64 f (*.f64 (PI.f64) #s(literal -1/4 binary64))))) (*.f64 f (fma.f64 (*.f64 f f) (fma.f64 (*.f64 f f) (*.f64 (pow.f64 (PI.f64) #s(literal 5 binary64)) #s(literal 1/61440 binary64)) (*.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/192 binary64)))) (*.f64 (PI.f64) #s(literal 1/2 binary64)))))) (/.f64 #s(literal 4 binary64) (PI.f64))))
Rules
12 414×lower-fma.f32
12 402×lower-fma.f64
5 540×lower-*.f32
5 490×lower-*.f64
2 288×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
066709
0126707
1276679
2792679
32656669
47746669
08252659
Stop Event
1×iter limit
1×node limit
1×iter limit
Calls
Call 1
Inputs
(neg.f64 (*.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))) (exp.f64 (*.f64 f (*.f64 (PI.f64) #s(literal -1/4 binary64))))) (*.f64 f (fma.f64 (*.f64 f f) (fma.f64 (*.f64 f f) (*.f64 (pow.f64 (PI.f64) #s(literal 5 binary64)) #s(literal 1/61440 binary64)) (*.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/192 binary64)))) (*.f64 (PI.f64) #s(literal 1/2 binary64)))))) (/.f64 #s(literal 4 binary64) (PI.f64))))
(*.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))) (exp.f64 (*.f64 f (*.f64 (PI.f64) #s(literal -1/4 binary64))))) (*.f64 f (fma.f64 (*.f64 f f) (fma.f64 (*.f64 f f) (*.f64 (pow.f64 (PI.f64) #s(literal 5 binary64)) #s(literal 1/61440 binary64)) (*.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/192 binary64)))) (*.f64 (PI.f64) #s(literal 1/2 binary64)))))) (/.f64 #s(literal 4 binary64) (PI.f64)))
(log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))) (exp.f64 (*.f64 f (*.f64 (PI.f64) #s(literal -1/4 binary64))))) (*.f64 f (fma.f64 (*.f64 f f) (fma.f64 (*.f64 f f) (*.f64 (pow.f64 (PI.f64) #s(literal 5 binary64)) #s(literal 1/61440 binary64)) (*.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/192 binary64)))) (*.f64 (PI.f64) #s(literal 1/2 binary64))))))
(/.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 f (fma.f64 (*.f64 f f) (fma.f64 (*.f64 f f) (*.f64 (pow.f64 (PI.f64) #s(literal 5 binary64)) #s(literal 1/61440 binary64)) (*.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/192 binary64)))) (*.f64 (PI.f64) #s(literal 1/2 binary64)))))
(+.f64 (exp.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))) (exp.f64 (*.f64 f (*.f64 (PI.f64) #s(literal -1/4 binary64)))))
(exp.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)
(exp.f64 (*.f64 f (*.f64 (PI.f64) #s(literal -1/4 binary64))))
(*.f64 f (*.f64 (PI.f64) #s(literal -1/4 binary64)))
(*.f64 (PI.f64) #s(literal -1/4 binary64))
#s(literal -1/4 binary64)
(*.f64 f (fma.f64 (*.f64 f f) (fma.f64 (*.f64 f f) (*.f64 (pow.f64 (PI.f64) #s(literal 5 binary64)) #s(literal 1/61440 binary64)) (*.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/192 binary64)))) (*.f64 (PI.f64) #s(literal 1/2 binary64))))
(fma.f64 (*.f64 f f) (fma.f64 (*.f64 f f) (*.f64 (pow.f64 (PI.f64) #s(literal 5 binary64)) #s(literal 1/61440 binary64)) (*.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/192 binary64)))) (*.f64 (PI.f64) #s(literal 1/2 binary64)))
(*.f64 f f)
(fma.f64 (*.f64 f f) (*.f64 (pow.f64 (PI.f64) #s(literal 5 binary64)) #s(literal 1/61440 binary64)) (*.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/192 binary64))))
(*.f64 (pow.f64 (PI.f64) #s(literal 5 binary64)) #s(literal 1/61440 binary64))
(pow.f64 (PI.f64) #s(literal 5 binary64))
#s(literal 5 binary64)
#s(literal 1/61440 binary64)
(*.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/192 binary64)))
(*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/192 binary64))
(*.f64 (PI.f64) (PI.f64))
#s(literal 1/192 binary64)
(*.f64 (PI.f64) #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
(/.f64 #s(literal 4 binary64) (PI.f64))
#s(literal 4 binary64)
(neg.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/12 binary64) (*.f64 f f))))
(*.f64 (PI.f64) (*.f64 #s(literal 1/12 binary64) (*.f64 f f)))
(PI.f64)
(*.f64 #s(literal 1/12 binary64) (*.f64 f f))
#s(literal 1/12 binary64)
(*.f64 f f)
f
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (fma.f64 f (*.f64 (PI.f64) (*.f64 #s(literal 1/12 binary64) f)) (/.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 f (*.f64 (PI.f64) (*.f64 #s(literal 1/12 binary64) f)) (/.f64 #s(literal 4 binary64) (PI.f64))) f)))
(/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64)))
#s(literal 1 binary64)
(/.f64 (PI.f64) #s(literal 4 binary64))
(PI.f64)
#s(literal 4 binary64)
(log.f64 (/.f64 (fma.f64 f (*.f64 (PI.f64) (*.f64 #s(literal 1/12 binary64) f)) (/.f64 #s(literal 4 binary64) (PI.f64))) f))
(/.f64 (fma.f64 f (*.f64 (PI.f64) (*.f64 #s(literal 1/12 binary64) f)) (/.f64 #s(literal 4 binary64) (PI.f64))) f)
(fma.f64 f (*.f64 (PI.f64) (*.f64 #s(literal 1/12 binary64) f)) (/.f64 #s(literal 4 binary64) (PI.f64)))
f
(*.f64 (PI.f64) (*.f64 #s(literal 1/12 binary64) f))
(*.f64 #s(literal 1/12 binary64) f)
#s(literal 1/12 binary64)
(/.f64 #s(literal 4 binary64) (PI.f64))
(neg.f64 (*.f64 (*.f64 f f) (fma.f64 (-.f64 (neg.f64 (log.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)))) (log.f64 f)) (/.f64 #s(literal 4 binary64) (*.f64 (PI.f64) (*.f64 f f))) (*.f64 #s(literal 1/12 binary64) (PI.f64)))))
(*.f64 (*.f64 f f) (fma.f64 (-.f64 (neg.f64 (log.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)))) (log.f64 f)) (/.f64 #s(literal 4 binary64) (*.f64 (PI.f64) (*.f64 f f))) (*.f64 #s(literal 1/12 binary64) (PI.f64))))
(*.f64 f f)
f
(fma.f64 (-.f64 (neg.f64 (log.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)))) (log.f64 f)) (/.f64 #s(literal 4 binary64) (*.f64 (PI.f64) (*.f64 f f))) (*.f64 #s(literal 1/12 binary64) (PI.f64)))
(-.f64 (neg.f64 (log.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)))) (log.f64 f))
(neg.f64 (log.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64))))
(log.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)))
(*.f64 (PI.f64) #s(literal 1/4 binary64))
(PI.f64)
#s(literal 1/4 binary64)
(log.f64 f)
(/.f64 #s(literal 4 binary64) (*.f64 (PI.f64) (*.f64 f f)))
#s(literal 4 binary64)
(*.f64 (PI.f64) (*.f64 f f))
(*.f64 #s(literal 1/12 binary64) (PI.f64))
#s(literal 1/12 binary64)
(neg.f64 (fma.f64 #s(literal 4 binary64) (/.f64 (-.f64 (neg.f64 (log.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)))) (log.f64 f)) (PI.f64)) (*.f64 (*.f64 f f) (*.f64 (PI.f64) (fma.f64 (*.f64 (*.f64 f f) #s(literal -1/8 binary64)) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/144 binary64)) #s(literal 1/12 binary64))))))
(fma.f64 #s(literal 4 binary64) (/.f64 (-.f64 (neg.f64 (log.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)))) (log.f64 f)) (PI.f64)) (*.f64 (*.f64 f f) (*.f64 (PI.f64) (fma.f64 (*.f64 (*.f64 f f) #s(literal -1/8 binary64)) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/144 binary64)) #s(literal 1/12 binary64)))))
#s(literal 4 binary64)
(/.f64 (-.f64 (neg.f64 (log.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)))) (log.f64 f)) (PI.f64))
(-.f64 (neg.f64 (log.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)))) (log.f64 f))
(neg.f64 (log.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64))))
(log.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)))
(*.f64 (PI.f64) #s(literal 1/4 binary64))
(PI.f64)
#s(literal 1/4 binary64)
(log.f64 f)
f
(*.f64 (*.f64 f f) (*.f64 (PI.f64) (fma.f64 (*.f64 (*.f64 f f) #s(literal -1/8 binary64)) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/144 binary64)) #s(literal 1/12 binary64))))
(*.f64 f f)
(*.f64 (PI.f64) (fma.f64 (*.f64 (*.f64 f f) #s(literal -1/8 binary64)) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/144 binary64)) #s(literal 1/12 binary64)))
(fma.f64 (*.f64 (*.f64 f f) #s(literal -1/8 binary64)) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/144 binary64)) #s(literal 1/12 binary64))
(*.f64 (*.f64 f f) #s(literal -1/8 binary64))
#s(literal -1/8 binary64)
(*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/144 binary64))
(*.f64 (PI.f64) (PI.f64))
#s(literal 1/144 binary64)
#s(literal 1/12 binary64)
Outputs
(neg.f64 (*.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))) (exp.f64 (*.f64 f (*.f64 (PI.f64) #s(literal -1/4 binary64))))) (*.f64 f (fma.f64 (*.f64 f f) (fma.f64 (*.f64 f f) (*.f64 (pow.f64 (PI.f64) #s(literal 5 binary64)) #s(literal 1/61440 binary64)) (*.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/192 binary64)))) (*.f64 (PI.f64) #s(literal 1/2 binary64)))))) (/.f64 #s(literal 4 binary64) (PI.f64))))
(/.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))) (exp.f64 (*.f64 f (*.f64 (PI.f64) #s(literal -1/4 binary64))))) (*.f64 f (fma.f64 f (*.f64 f (fma.f64 f (*.f64 (pow.f64 (PI.f64) #s(literal 5 binary64)) (*.f64 f #s(literal 1/61440 binary64))) (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) #s(literal 1/192 binary64))))) (*.f64 (PI.f64) #s(literal 1/2 binary64)))))) (*.f64 (PI.f64) #s(literal -1/4 binary64)))
(*.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))) (exp.f64 (*.f64 f (*.f64 (PI.f64) #s(literal -1/4 binary64))))) (*.f64 f (fma.f64 (*.f64 f f) (fma.f64 (*.f64 f f) (*.f64 (pow.f64 (PI.f64) #s(literal 5 binary64)) #s(literal 1/61440 binary64)) (*.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/192 binary64)))) (*.f64 (PI.f64) #s(literal 1/2 binary64)))))) (/.f64 #s(literal 4 binary64) (PI.f64)))
(*.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))) (exp.f64 (*.f64 f (*.f64 (PI.f64) #s(literal -1/4 binary64))))) (*.f64 f (fma.f64 f (*.f64 f (fma.f64 f (*.f64 (pow.f64 (PI.f64) #s(literal 5 binary64)) (*.f64 f #s(literal 1/61440 binary64))) (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) #s(literal 1/192 binary64))))) (*.f64 (PI.f64) #s(literal 1/2 binary64)))))) (/.f64 #s(literal 4 binary64) (PI.f64)))
(log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))) (exp.f64 (*.f64 f (*.f64 (PI.f64) #s(literal -1/4 binary64))))) (*.f64 f (fma.f64 (*.f64 f f) (fma.f64 (*.f64 f f) (*.f64 (pow.f64 (PI.f64) #s(literal 5 binary64)) #s(literal 1/61440 binary64)) (*.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/192 binary64)))) (*.f64 (PI.f64) #s(literal 1/2 binary64))))))
(log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))) (exp.f64 (*.f64 f (*.f64 (PI.f64) #s(literal -1/4 binary64))))) (*.f64 f (fma.f64 f (*.f64 f (fma.f64 f (*.f64 (pow.f64 (PI.f64) #s(literal 5 binary64)) (*.f64 f #s(literal 1/61440 binary64))) (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) #s(literal 1/192 binary64))))) (*.f64 (PI.f64) #s(literal 1/2 binary64))))))
(/.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 f (fma.f64 (*.f64 f f) (fma.f64 (*.f64 f f) (*.f64 (pow.f64 (PI.f64) #s(literal 5 binary64)) #s(literal 1/61440 binary64)) (*.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/192 binary64)))) (*.f64 (PI.f64) #s(literal 1/2 binary64)))))
(/.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 f (fma.f64 f (*.f64 f (fma.f64 f (*.f64 (pow.f64 (PI.f64) #s(literal 5 binary64)) (*.f64 f #s(literal 1/61440 binary64))) (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) #s(literal 1/192 binary64))))) (*.f64 (PI.f64) #s(literal 1/2 binary64)))))
(+.f64 (exp.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))) (exp.f64 (*.f64 f (*.f64 (PI.f64) #s(literal -1/4 binary64)))))
(exp.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)
(exp.f64 (*.f64 f (*.f64 (PI.f64) #s(literal -1/4 binary64))))
(*.f64 f (*.f64 (PI.f64) #s(literal -1/4 binary64)))
(*.f64 (PI.f64) #s(literal -1/4 binary64))
#s(literal -1/4 binary64)
(*.f64 f (fma.f64 (*.f64 f f) (fma.f64 (*.f64 f f) (*.f64 (pow.f64 (PI.f64) #s(literal 5 binary64)) #s(literal 1/61440 binary64)) (*.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/192 binary64)))) (*.f64 (PI.f64) #s(literal 1/2 binary64))))
(*.f64 f (fma.f64 f (*.f64 f (fma.f64 f (*.f64 (pow.f64 (PI.f64) #s(literal 5 binary64)) (*.f64 f #s(literal 1/61440 binary64))) (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) #s(literal 1/192 binary64))))) (*.f64 (PI.f64) #s(literal 1/2 binary64))))
(fma.f64 (*.f64 f f) (fma.f64 (*.f64 f f) (*.f64 (pow.f64 (PI.f64) #s(literal 5 binary64)) #s(literal 1/61440 binary64)) (*.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/192 binary64)))) (*.f64 (PI.f64) #s(literal 1/2 binary64)))
(fma.f64 f (*.f64 f (fma.f64 f (*.f64 (pow.f64 (PI.f64) #s(literal 5 binary64)) (*.f64 f #s(literal 1/61440 binary64))) (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) #s(literal 1/192 binary64))))) (*.f64 (PI.f64) #s(literal 1/2 binary64)))
(*.f64 f f)
(fma.f64 (*.f64 f f) (*.f64 (pow.f64 (PI.f64) #s(literal 5 binary64)) #s(literal 1/61440 binary64)) (*.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/192 binary64))))
(fma.f64 f (*.f64 (pow.f64 (PI.f64) #s(literal 5 binary64)) (*.f64 f #s(literal 1/61440 binary64))) (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) #s(literal 1/192 binary64))))
(*.f64 (pow.f64 (PI.f64) #s(literal 5 binary64)) #s(literal 1/61440 binary64))
(pow.f64 (PI.f64) #s(literal 5 binary64))
#s(literal 5 binary64)
#s(literal 1/61440 binary64)
(*.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/192 binary64)))
(*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) #s(literal 1/192 binary64)))
(*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/192 binary64))
(*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/192 binary64)))
(*.f64 (PI.f64) (PI.f64))
#s(literal 1/192 binary64)
(*.f64 (PI.f64) #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
(/.f64 #s(literal 4 binary64) (PI.f64))
#s(literal 4 binary64)
(neg.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/12 binary64) (*.f64 f f))))
(*.f64 f (*.f64 (*.f64 f (PI.f64)) #s(literal -1/12 binary64)))
(*.f64 (PI.f64) (*.f64 #s(literal 1/12 binary64) (*.f64 f f)))
(*.f64 f (*.f64 f (*.f64 (PI.f64) #s(literal 1/12 binary64))))
(PI.f64)
(*.f64 #s(literal 1/12 binary64) (*.f64 f f))
(*.f64 f (*.f64 f #s(literal 1/12 binary64)))
#s(literal 1/12 binary64)
(*.f64 f f)
f
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (fma.f64 f (*.f64 (PI.f64) (*.f64 #s(literal 1/12 binary64) f)) (/.f64 #s(literal 4 binary64) (PI.f64))) f))))
(/.f64 (log.f64 (/.f64 (fma.f64 f (*.f64 f (*.f64 (PI.f64) #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 f (*.f64 (PI.f64) (*.f64 #s(literal 1/12 binary64) f)) (/.f64 #s(literal 4 binary64) (PI.f64))) f)))
(*.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (log.f64 (/.f64 (fma.f64 f (*.f64 f (*.f64 (PI.f64) #s(literal 1/12 binary64))) (/.f64 #s(literal 4 binary64) (PI.f64))) f)))
(/.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 f (*.f64 (PI.f64) (*.f64 #s(literal 1/12 binary64) f)) (/.f64 #s(literal 4 binary64) (PI.f64))) f))
(log.f64 (/.f64 (fma.f64 f (*.f64 f (*.f64 (PI.f64) #s(literal 1/12 binary64))) (/.f64 #s(literal 4 binary64) (PI.f64))) f))
(/.f64 (fma.f64 f (*.f64 (PI.f64) (*.f64 #s(literal 1/12 binary64) f)) (/.f64 #s(literal 4 binary64) (PI.f64))) f)
(/.f64 (fma.f64 f (*.f64 f (*.f64 (PI.f64) #s(literal 1/12 binary64))) (/.f64 #s(literal 4 binary64) (PI.f64))) f)
(fma.f64 f (*.f64 (PI.f64) (*.f64 #s(literal 1/12 binary64) f)) (/.f64 #s(literal 4 binary64) (PI.f64)))
(fma.f64 f (*.f64 f (*.f64 (PI.f64) #s(literal 1/12 binary64))) (/.f64 #s(literal 4 binary64) (PI.f64)))
f
(*.f64 (PI.f64) (*.f64 #s(literal 1/12 binary64) f))
(*.f64 f (*.f64 (PI.f64) #s(literal 1/12 binary64)))
(*.f64 #s(literal 1/12 binary64) f)
(*.f64 f #s(literal 1/12 binary64))
#s(literal 1/12 binary64)
(/.f64 #s(literal 4 binary64) (PI.f64))
(neg.f64 (*.f64 (*.f64 f f) (fma.f64 (-.f64 (neg.f64 (log.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)))) (log.f64 f)) (/.f64 #s(literal 4 binary64) (*.f64 (PI.f64) (*.f64 f f))) (*.f64 #s(literal 1/12 binary64) (PI.f64)))))
(fma.f64 f (*.f64 (*.f64 f (PI.f64)) #s(literal -1/12 binary64)) (*.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (+.f64 (log.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64))) (log.f64 f))))
(*.f64 (*.f64 f f) (fma.f64 (-.f64 (neg.f64 (log.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)))) (log.f64 f)) (/.f64 #s(literal 4 binary64) (*.f64 (PI.f64) (*.f64 f f))) (*.f64 #s(literal 1/12 binary64) (PI.f64))))
(fma.f64 f (*.f64 f (*.f64 (PI.f64) #s(literal 1/12 binary64))) (*.f64 (/.f64 #s(literal -4 binary64) (PI.f64)) (+.f64 (log.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64))) (log.f64 f))))
(*.f64 f f)
f
(fma.f64 (-.f64 (neg.f64 (log.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)))) (log.f64 f)) (/.f64 #s(literal 4 binary64) (*.f64 (PI.f64) (*.f64 f f))) (*.f64 #s(literal 1/12 binary64) (PI.f64)))
(fma.f64 (+.f64 (log.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64))) (log.f64 f)) (/.f64 #s(literal -4 binary64) (*.f64 (PI.f64) (*.f64 f f))) (*.f64 (PI.f64) #s(literal 1/12 binary64)))
(-.f64 (neg.f64 (log.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)))) (log.f64 f))
(-.f64 (neg.f64 (log.f64 f)) (log.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64))))
(neg.f64 (log.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64))))
(neg.f64 (log.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64))))
(log.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)))
(log.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)))
(*.f64 (PI.f64) #s(literal 1/4 binary64))
(*.f64 #s(literal 1/4 binary64) (PI.f64))
(PI.f64)
#s(literal 1/4 binary64)
(log.f64 f)
(/.f64 #s(literal 4 binary64) (*.f64 (PI.f64) (*.f64 f f)))
#s(literal 4 binary64)
(*.f64 (PI.f64) (*.f64 f f))
(*.f64 #s(literal 1/12 binary64) (PI.f64))
(*.f64 (PI.f64) #s(literal 1/12 binary64))
#s(literal 1/12 binary64)
(neg.f64 (fma.f64 #s(literal 4 binary64) (/.f64 (-.f64 (neg.f64 (log.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)))) (log.f64 f)) (PI.f64)) (*.f64 (*.f64 f f) (*.f64 (PI.f64) (fma.f64 (*.f64 (*.f64 f f) #s(literal -1/8 binary64)) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/144 binary64)) #s(literal 1/12 binary64))))))
(fma.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (+.f64 (log.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64))) (log.f64 f)) (*.f64 (*.f64 f f) (*.f64 (PI.f64) (fma.f64 #s(literal 1/1152 binary64) (*.f64 (*.f64 (PI.f64) (*.f64 f f)) (PI.f64)) #s(literal -1/12 binary64)))))
(fma.f64 #s(literal 4 binary64) (/.f64 (-.f64 (neg.f64 (log.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)))) (log.f64 f)) (PI.f64)) (*.f64 (*.f64 f f) (*.f64 (PI.f64) (fma.f64 (*.f64 (*.f64 f f) #s(literal -1/8 binary64)) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/144 binary64)) #s(literal 1/12 binary64)))))
(fma.f64 (/.f64 #s(literal -4 binary64) (PI.f64)) (+.f64 (log.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64))) (log.f64 f)) (*.f64 (*.f64 (PI.f64) (*.f64 f f)) (fma.f64 f (*.f64 f (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal -1/1152 binary64))) #s(literal 1/12 binary64))))
#s(literal 4 binary64)
(/.f64 (-.f64 (neg.f64 (log.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)))) (log.f64 f)) (PI.f64))
(/.f64 (-.f64 (neg.f64 (log.f64 f)) (log.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)))) (PI.f64))
(-.f64 (neg.f64 (log.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)))) (log.f64 f))
(-.f64 (neg.f64 (log.f64 f)) (log.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64))))
(neg.f64 (log.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64))))
(neg.f64 (log.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64))))
(log.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)))
(log.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)))
(*.f64 (PI.f64) #s(literal 1/4 binary64))
(*.f64 #s(literal 1/4 binary64) (PI.f64))
(PI.f64)
#s(literal 1/4 binary64)
(log.f64 f)
f
(*.f64 (*.f64 f f) (*.f64 (PI.f64) (fma.f64 (*.f64 (*.f64 f f) #s(literal -1/8 binary64)) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/144 binary64)) #s(literal 1/12 binary64))))
(*.f64 (*.f64 (PI.f64) (*.f64 f f)) (fma.f64 f (*.f64 f (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal -1/1152 binary64))) #s(literal 1/12 binary64)))
(*.f64 f f)
(*.f64 (PI.f64) (fma.f64 (*.f64 (*.f64 f f) #s(literal -1/8 binary64)) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/144 binary64)) #s(literal 1/12 binary64)))
(*.f64 (PI.f64) (fma.f64 f (*.f64 f (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal -1/1152 binary64))) #s(literal 1/12 binary64)))
(fma.f64 (*.f64 (*.f64 f f) #s(literal -1/8 binary64)) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/144 binary64)) #s(literal 1/12 binary64))
(fma.f64 f (*.f64 f (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal -1/1152 binary64))) #s(literal 1/12 binary64))
(*.f64 (*.f64 f f) #s(literal -1/8 binary64))
#s(literal -1/8 binary64)
(*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/144 binary64))
(*.f64 (PI.f64) (PI.f64))
#s(literal 1/144 binary64)
#s(literal 1/12 binary64)

localize294.0ms (1.8%)

Memory
11.5MiB live, 322.2MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
✓accuracy99.5%
(*.f64 (*.f64 f f) (*.f64 (PI.f64) (fma.f64 (*.f64 (*.f64 f f) #s(literal -1/8 binary64)) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/144 binary64)) #s(literal 1/12 binary64))))
✓accuracy99.5%
(/.f64 (-.f64 (neg.f64 (log.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)))) (log.f64 f)) (PI.f64))
✓accuracy98.5%
(*.f64 (PI.f64) (fma.f64 (*.f64 (*.f64 f f) #s(literal -1/8 binary64)) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/144 binary64)) #s(literal 1/12 binary64)))
✓accuracy97.5%
(log.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)))
✓accuracy99.7%
(-.f64 (neg.f64 (log.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)))) (log.f64 f))
✓accuracy98.4%
(*.f64 #s(literal 1/12 binary64) (PI.f64))
✓accuracy97.5%
(log.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)))
✓accuracy51.7%
(*.f64 (*.f64 f f) (fma.f64 (-.f64 (neg.f64 (log.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)))) (log.f64 f)) (/.f64 #s(literal 4 binary64) (*.f64 (PI.f64) (*.f64 f f))) (*.f64 #s(literal 1/12 binary64) (PI.f64))))
✓accuracy99.5%
(*.f64 #s(literal 1/12 binary64) f)
✓accuracy99.5%
(*.f64 (PI.f64) (*.f64 #s(literal 1/12 binary64) f))
✓accuracy99.5%
(/.f64 (fma.f64 f (*.f64 (PI.f64) (*.f64 #s(literal 1/12 binary64) f)) (/.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 (fma.f64 f (*.f64 (PI.f64) (*.f64 #s(literal 1/12 binary64) f)) (/.f64 #s(literal 4 binary64) (PI.f64))) f)))
✓accuracy100.0%
(neg.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/12 binary64) (*.f64 f f))))
✓accuracy100.0%
(PI.f64)
✓accuracy99.7%
(*.f64 #s(literal 1/12 binary64) (*.f64 f f))
✓accuracy99.7%
(*.f64 (PI.f64) (*.f64 #s(literal 1/12 binary64) (*.f64 f f)))
✓accuracy98.9%
(log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))) (exp.f64 (*.f64 f (*.f64 (PI.f64) #s(literal -1/4 binary64))))) (*.f64 f (fma.f64 (*.f64 f f) (fma.f64 (*.f64 f f) (*.f64 (pow.f64 (PI.f64) #s(literal 5 binary64)) #s(literal 1/61440 binary64)) (*.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/192 binary64)))) (*.f64 (PI.f64) #s(literal 1/2 binary64))))))
✓accuracy98.4%
(pow.f64 (PI.f64) #s(literal 5 binary64))
✓accuracy98.4%
(*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/192 binary64))
✓accuracy98.4%
(*.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/192 binary64)))
Samples
173.0ms256×0valid
Compiler

Compiled 739 to 74 computations (90% saved)

Precisions
Click to see histograms. Total time spent on operations: 142.0ms
ival-mult: 52.0ms (36.5% of total)
ival-div: 28.0ms (19.7% of total)
const: 25.0ms (17.6% of total)
ival-log: 12.0ms (8.4% of total)
ival-add: 9.0ms (6.3% of total)
ival-neg: 6.0ms (4.2% of total)
ival-exp: 4.0ms (2.8% of total)
ival-pow: 2.0ms (1.4% of total)
ival-pi: 1.0ms (0.7% of total)
ival-sub: 1.0ms (0.7% of total)
exact: 1.0ms (0.7% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series19.0ms (0.1%)

Memory
-3.9MiB live, 34.2MiB allocated
Counts
19 → 156
Calls
Call 1
Inputs
#<alt (*.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/192 binary64)))>
#<alt (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/192 binary64))>
#<alt (pow.f64 (PI.f64) #s(literal 5 binary64))>
#<alt (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))) (exp.f64 (*.f64 f (*.f64 (PI.f64) #s(literal -1/4 binary64))))) (*.f64 f (fma.f64 (*.f64 f f) (fma.f64 (*.f64 f f) (*.f64 (pow.f64 (PI.f64) #s(literal 5 binary64)) #s(literal 1/61440 binary64)) (*.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/192 binary64)))) (*.f64 (PI.f64) #s(literal 1/2 binary64))))))>
#<alt (*.f64 (PI.f64) (*.f64 #s(literal 1/12 binary64) (*.f64 f f)))>
#<alt (*.f64 #s(literal 1/12 binary64) (*.f64 f f))>
#<alt (PI.f64)>
#<alt (neg.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/12 binary64) (*.f64 f f))))>
#<alt (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (fma.f64 f (*.f64 (PI.f64) (*.f64 #s(literal 1/12 binary64) f)) (/.f64 #s(literal 4 binary64) (PI.f64))) f)))>
#<alt (/.f64 (fma.f64 f (*.f64 (PI.f64) (*.f64 #s(literal 1/12 binary64) f)) (/.f64 #s(literal 4 binary64) (PI.f64))) f)>
#<alt (*.f64 (PI.f64) (*.f64 #s(literal 1/12 binary64) f))>
#<alt (*.f64 #s(literal 1/12 binary64) f)>
#<alt (*.f64 (*.f64 f f) (fma.f64 (-.f64 (neg.f64 (log.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)))) (log.f64 f)) (/.f64 #s(literal 4 binary64) (*.f64 (PI.f64) (*.f64 f f))) (*.f64 #s(literal 1/12 binary64) (PI.f64))))>
#<alt (log.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)))>
#<alt (*.f64 #s(literal 1/12 binary64) (PI.f64))>
#<alt (-.f64 (neg.f64 (log.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)))) (log.f64 f))>
#<alt (*.f64 (PI.f64) (fma.f64 (*.f64 (*.f64 f f) #s(literal -1/8 binary64)) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/144 binary64)) #s(literal 1/12 binary64)))>
#<alt (/.f64 (-.f64 (neg.f64 (log.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)))) (log.f64 f)) (PI.f64))>
#<alt (*.f64 (*.f64 f f) (*.f64 (PI.f64) (fma.f64 (*.f64 (*.f64 f f) #s(literal -1/8 binary64)) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/144 binary64)) #s(literal 1/12 binary64))))>
Outputs
#<alt (+ (log (/ 4 (PI))) (* -1 (log f)))>
#<alt (+ (log (/ 4 (PI))) (+ (* -1 (log f)) (* 1/2 (* f (+ (* -1/4 (PI)) (* 1/4 (PI)))))))>
#<alt (+ (log (/ 4 (PI))) (+ (* -1 (log f)) (* f (+ (* 1/2 (* f (+ (* -1/4 (pow (+ (* -1/4 (PI)) (* 1/4 (PI))) 2)) (* 1/2 (* (PI) (- (* 1/8 (PI)) (* 1/24 (PI)))))))) (* 1/2 (+ (* -1/4 (PI)) (* 1/4 (PI))))))))>
#<alt (+ (log (/ 4 (PI))) (+ (* -1 (log f)) (* f (+ (* 1/2 (+ (* -1/4 (PI)) (* 1/4 (PI)))) (* f (+ (* 1/6 (* f (+ (* -3/4 (* (PI) (* (+ (* -1/4 (PI)) (* 1/4 (PI))) (- (* 1/8 (PI)) (* 1/24 (PI)))))) (+ (* 1/4 (pow (+ (* -1/4 (PI)) (* 1/4 (PI))) 3)) (* 3/2 (* (PI) (- (* 2 (/ (+ (* -1/384 (pow (PI) 3)) (* 1/384 (pow (PI) 3))) (PI))) (* 1/48 (* (PI) (+ (* -1/4 (PI)) (* 1/4 (PI)))))))))))) (* 1/2 (+ (* -1/4 (pow (+ (* -1/4 (PI)) (* 1/4 (PI))) 2)) (* 1/2 (* (PI) (- (* 1/8 (PI)) (* 1/24 (PI)))))))))))))>
#<alt (+ (log (* 61440 (/ (+ (exp (* -1/4 (* f (PI)))) (exp (* 1/4 (* f (PI))))) (pow (PI) 5)))) (* 5 (log (/ 1 f))))>
#<alt (- (+ (log (* 61440 (/ (+ (exp (* -1/4 (* f (PI)))) (exp (* 1/4 (* f (PI))))) (pow (PI) 5)))) (* 5 (log (/ 1 f)))) (* 320 (/ 1 (* (pow f 2) (pow (PI) 2)))))>
#<alt (- (+ (log (* 61440 (/ (+ (exp (* -1/4 (* f (PI)))) (exp (* 1/4 (* f (PI))))) (pow (PI) 5)))) (+ (* 1/24 (/ (- (* -1/2560 (/ (* (pow (PI) 5) (+ (* -6291456000 (/ (+ (exp (* -1/4 (* f (PI)))) (exp (* 1/4 (* f (PI))))) (pow (PI) 9))) (* 1887436800 (/ (+ (exp (* -1/4 (* f (PI)))) (exp (* 1/4 (* f (PI))))) (pow (PI) 9))))) (+ (exp (* -1/4 (* f (PI)))) (exp (* 1/4 (* f (PI))))))) (* 1228800 (/ 1 (pow (PI) 4)))) (pow f 4))) (* 5 (log (/ 1 f))))) (/ 320 (* (pow f 2) (pow (PI) 2))))>
#<alt (- (+ (log (* 61440 (/ (+ (exp (* -1/4 (* f (PI)))) (exp (* 1/4 (* f (PI))))) (pow (PI) 5)))) (+ (* 1/720 (/ (- (+ (* -15/4 (/ (* (pow (PI) 3) (+ (* -6291456000 (/ (+ (exp (* -1/4 (* f (PI)))) (exp (* 1/4 (* f (PI))))) (pow (PI) 9))) (* 1887436800 (/ (+ (exp (* -1/4 (* f (PI)))) (exp (* 1/4 (* f (PI))))) (pow (PI) 9))))) (+ (exp (* -1/4 (* f (PI)))) (exp (* 1/4 (* f (PI))))))) (* -3/256 (/ (* (pow (PI) 5) (+ (* -603979776000 (/ (+ (exp (* -1/4 (* f (PI)))) (exp (* 1/4 (* f (PI))))) (pow (PI) 11))) (* -320 (/ (+ (* -6291456000 (/ (+ (exp (* -1/4 (* f (PI)))) (exp (* 1/4 (* f (PI))))) (pow (PI) 9))) (* 1887436800 (/ (+ (exp (* -1/4 (* f (PI)))) (exp (* 1/4 (* f (PI))))) (pow (PI) 9)))) (pow (PI) 2))))) (+ (exp (* -1/4 (* f (PI)))) (exp (* 1/4 (* f (PI)))))))) (* 7864320000 (/ 1 (pow (PI) 6)))) (pow f 6))) (+ (* 1/24 (/ (- (* -1/2560 (/ (* (pow (PI) 5) (+ (* -6291456000 (/ (+ (exp (* -1/4 (* f (PI)))) (exp (* 1/4 (* f (PI))))) (pow (PI) 9))) (* 1887436800 (/ (+ (exp (* -1/4 (* f (PI)))) (exp (* 1/4 (* f (PI))))) (pow (PI) 9))))) (+ (exp (* -1/4 (* f (PI)))) (exp (* 1/4 (* f (PI))))))) (* 1228800 (/ 1 (pow (PI) 4)))) (pow f 4))) (* 5 (log (/ 1 f)))))) (/ 320 (* (pow f 2) (pow (PI) 2))))>
#<alt (+ (log (* -61440 (/ (+ (exp (* -1/4 (* f (PI)))) (exp (* 1/4 (* f (PI))))) (pow (PI) 5)))) (* 5 (log (/ -1 f))))>
#<alt (- (+ (log (* -61440 (/ (+ (exp (* -1/4 (* f (PI)))) (exp (* 1/4 (* f (PI))))) (pow (PI) 5)))) (* 5 (log (/ -1 f)))) (* 320 (/ 1 (* (pow f 2) (pow (PI) 2)))))>
#<alt (- (+ (log (* -61440 (/ (+ (exp (* -1/4 (* f (PI)))) (exp (* 1/4 (* f (PI))))) (pow (PI) 5)))) (+ (* 1/24 (/ (- (* -1/2560 (/ (* (pow (PI) 5) (+ (* -6291456000 (/ (+ (exp (* -1/4 (* f (PI)))) (exp (* 1/4 (* f (PI))))) (pow (PI) 9))) (* 1887436800 (/ (+ (exp (* -1/4 (* f (PI)))) (exp (* 1/4 (* f (PI))))) (pow (PI) 9))))) (+ (exp (* -1/4 (* f (PI)))) (exp (* 1/4 (* f (PI))))))) (* 1228800 (/ 1 (pow (PI) 4)))) (pow f 4))) (* 5 (log (/ -1 f))))) (/ 320 (* (pow f 2) (pow (PI) 2))))>
#<alt (- (+ (log (* -61440 (/ (+ (exp (* -1/4 (* f (PI)))) (exp (* 1/4 (* f (PI))))) (pow (PI) 5)))) (+ (* 1/720 (/ (- (+ (* -15/4 (/ (* (pow (PI) 3) (+ (* -6291456000 (/ (+ (exp (* -1/4 (* f (PI)))) (exp (* 1/4 (* f (PI))))) (pow (PI) 9))) (* 1887436800 (/ (+ (exp (* -1/4 (* f (PI)))) (exp (* 1/4 (* f (PI))))) (pow (PI) 9))))) (+ (exp (* -1/4 (* f (PI)))) (exp (* 1/4 (* f (PI))))))) (* -3/256 (/ (* (pow (PI) 5) (+ (* -603979776000 (/ (+ (exp (* -1/4 (* f (PI)))) (exp (* 1/4 (* f (PI))))) (pow (PI) 11))) (* -320 (/ (+ (* -6291456000 (/ (+ (exp (* -1/4 (* f (PI)))) (exp (* 1/4 (* f (PI))))) (pow (PI) 9))) (* 1887436800 (/ (+ (exp (* -1/4 (* f (PI)))) (exp (* 1/4 (* f (PI))))) (pow (PI) 9)))) (pow (PI) 2))))) (+ (exp (* -1/4 (* f (PI)))) (exp (* 1/4 (* f (PI)))))))) (* 7864320000 (/ 1 (pow (PI) 6)))) (pow f 6))) (+ (* 1/24 (/ (- (* -1/2560 (/ (* (pow (PI) 5) (+ (* -6291456000 (/ (+ (exp (* -1/4 (* f (PI)))) (exp (* 1/4 (* f (PI))))) (pow (PI) 9))) (* 1887436800 (/ (+ (exp (* -1/4 (* f (PI)))) (exp (* 1/4 (* f (PI))))) (pow (PI) 9))))) (+ (exp (* -1/4 (* f (PI)))) (exp (* 1/4 (* f (PI))))))) (* 1228800 (/ 1 (pow (PI) 4)))) (pow f 4))) (* 5 (log (/ -1 f)))))) (/ 320 (* (pow f 2) (pow (PI) 2))))>
#<alt (* 1/12 (* (pow f 2) (PI)))>
#<alt (* 1/12 (* (pow f 2) (PI)))>
#<alt (* 1/12 (* (pow f 2) (PI)))>
#<alt (* 1/12 (* (pow f 2) (PI)))>
#<alt (* 1/12 (* (pow f 2) (PI)))>
#<alt (* 1/12 (* (pow f 2) (PI)))>
#<alt (* 1/12 (* (pow f 2) (PI)))>
#<alt (* 1/12 (* (pow f 2) (PI)))>
#<alt (* 1/12 (* (pow f 2) (PI)))>
#<alt (* 1/12 (* (pow f 2) (PI)))>
#<alt (* 1/12 (* (pow f 2) (PI)))>
#<alt (* 1/12 (* (pow f 2) (PI)))>
#<alt (* 1/12 (pow f 2))>
#<alt (* 1/12 (pow f 2))>
#<alt (* 1/12 (pow f 2))>
#<alt (* 1/12 (pow f 2))>
#<alt (* 1/12 (pow f 2))>
#<alt (* 1/12 (pow f 2))>
#<alt (* 1/12 (pow f 2))>
#<alt (* 1/12 (pow f 2))>
#<alt (* 1/12 (pow f 2))>
#<alt (* 1/12 (pow f 2))>
#<alt (* 1/12 (pow f 2))>
#<alt (* 1/12 (pow f 2))>
#<alt (* -1/12 (* (pow f 2) (PI)))>
#<alt (* -1/12 (* (pow f 2) (PI)))>
#<alt (* -1/12 (* (pow f 2) (PI)))>
#<alt (* -1/12 (* (pow f 2) (PI)))>
#<alt (* -1/12 (* (pow f 2) (PI)))>
#<alt (* -1/12 (* (pow f 2) (PI)))>
#<alt (* -1/12 (* (pow f 2) (PI)))>
#<alt (* -1/12 (* (pow f 2) (PI)))>
#<alt (* -1/12 (* (pow f 2) (PI)))>
#<alt (* -1/12 (* (pow f 2) (PI)))>
#<alt (* -1/12 (* (pow f 2) (PI)))>
#<alt (* -1/12 (* (pow f 2) (PI)))>
#<alt (* 4 (/ (+ (log (/ 4 (PI))) (* -1 (log f))) (PI)))>
#<alt (+ (* 1/12 (* (pow f 2) (PI))) (* 4 (/ (+ (log (/ 4 (PI))) (* -1 (log f))) (PI))))>
#<alt (+ (* 4 (/ (+ (log (/ 4 (PI))) (* -1 (log f))) (PI))) (* (pow f 2) (+ (* -1/1152 (* (pow f 2) (pow (PI) 3))) (* 1/12 (PI)))))>
#<alt (+ (* 4 (/ (+ (log (/ 4 (PI))) (* -1 (log f))) (PI))) (* (pow f 2) (+ (* 1/12 (PI)) (* (pow f 2) (+ (* -1/1152 (pow (PI) 3)) (* 1/82944 (* (pow f 2) (pow (PI) 5))))))))>
#<alt (* 4 (/ (+ (log (* 1/12 (PI))) (* -1 (log (/ 1 f)))) (PI)))>
#<alt (+ (* 4 (/ (+ (log (* 1/12 (PI))) (* -1 (log (/ 1 f)))) (PI))) (* 192 (/ 1 (* (pow f 2) (pow (PI) 3)))))>
#<alt (- (+ (* 4 (/ (+ (log (* 1/12 (PI))) (* -1 (log (/ 1 f)))) (PI))) (/ 192 (* (pow f 2) (pow (PI) 3)))) (/ 4608 (* (pow f 4) (pow (PI) 5))))>
#<alt (- (+ (* 4 (/ (+ (log (* 1/12 (PI))) (* -1 (log (/ 1 f)))) (PI))) (+ (* 147456 (/ 1 (* (pow f 6) (pow (PI) 7)))) (/ 192 (* (pow f 2) (pow (PI) 3))))) (* 4608 (/ 1 (* (pow f 4) (pow (PI) 5)))))>
#<alt (* 4 (/ (+ (log (* -1/12 (PI))) (* -1 (log (/ -1 f)))) (PI)))>
#<alt (+ (* 4 (/ (+ (log (* -1/12 (PI))) (* -1 (log (/ -1 f)))) (PI))) (* 192 (/ 1 (* (pow f 2) (pow (PI) 3)))))>
#<alt (- (+ (* 4 (/ (+ (log (* -1/12 (PI))) (* -1 (log (/ -1 f)))) (PI))) (/ 192 (* (pow f 2) (pow (PI) 3)))) (/ 4608 (* (pow f 4) (pow (PI) 5))))>
#<alt (- (+ (* 4 (/ (+ (log (* -1/12 (PI))) (* -1 (log (/ -1 f)))) (PI))) (+ (* 147456 (/ 1 (* (pow f 6) (pow (PI) 7)))) (/ 192 (* (pow f 2) (pow (PI) 3))))) (* 4608 (/ 1 (* (pow f 4) (pow (PI) 5)))))>
#<alt (/ 4 (* f (PI)))>
#<alt (/ (+ (* 1/12 (* (pow f 2) (PI))) (* 4 (/ 1 (PI)))) f)>
#<alt (/ (+ (* 1/12 (* (pow f 2) (PI))) (* 4 (/ 1 (PI)))) f)>
#<alt (/ (+ (* 1/12 (* (pow f 2) (PI))) (* 4 (/ 1 (PI)))) f)>
#<alt (* 1/12 (* f (PI)))>
#<alt (* f (+ (* 1/12 (PI)) (* 4 (/ 1 (* (pow f 2) (PI))))))>
#<alt (* f (+ (* 1/12 (PI)) (* 4 (/ 1 (* (pow f 2) (PI))))))>
#<alt (* f (+ (* 1/12 (PI)) (* 4 (/ 1 (* (pow f 2) (PI))))))>
#<alt (* 1/12 (* f (PI)))>
#<alt (* -1 (* f (- (* -1/12 (PI)) (* 4 (/ 1 (* (pow f 2) (PI)))))))>
#<alt (* -1 (* f (- (* -1/12 (PI)) (* 4 (/ 1 (* (pow f 2) (PI)))))))>
#<alt (* -1 (* f (- (* -1/12 (PI)) (* 4 (/ 1 (* (pow f 2) (PI)))))))>
#<alt (* 1/12 (* f (PI)))>
#<alt (* 1/12 (* f (PI)))>
#<alt (* 1/12 (* f (PI)))>
#<alt (* 1/12 (* f (PI)))>
#<alt (* 1/12 (* f (PI)))>
#<alt (* 1/12 (* f (PI)))>
#<alt (* 1/12 (* f (PI)))>
#<alt (* 1/12 (* f (PI)))>
#<alt (* 1/12 (* f (PI)))>
#<alt (* 1/12 (* f (PI)))>
#<alt (* 1/12 (* f (PI)))>
#<alt (* 1/12 (* f (PI)))>
#<alt (* 1/12 f)>
#<alt (* 1/12 f)>
#<alt (* 1/12 f)>
#<alt (* 1/12 f)>
#<alt (* 1/12 f)>
#<alt (* 1/12 f)>
#<alt (* 1/12 f)>
#<alt (* 1/12 f)>
#<alt (* 1/12 f)>
#<alt (* 1/12 f)>
#<alt (* 1/12 f)>
#<alt (* 1/12 f)>
#<alt (* -4 (/ (+ (log f) (log (* 1/4 (PI)))) (PI)))>
#<alt (+ (* -4 (/ (+ (log f) (log (* 1/4 (PI)))) (PI))) (* 1/12 (* (pow f 2) (PI))))>
#<alt (+ (* -4 (/ (+ (log f) (log (* 1/4 (PI)))) (PI))) (* 1/12 (* (pow f 2) (PI))))>
#<alt (+ (* -4 (/ (+ (log f) (log (* 1/4 (PI)))) (PI))) (* 1/12 (* (pow f 2) (PI))))>
#<alt (* 1/12 (* (pow f 2) (PI)))>
#<alt (* (pow f 2) (+ (* -4 (/ (+ (log (* 1/4 (PI))) (* -1 (log (/ 1 f)))) (* (pow f 2) (PI)))) (* 1/12 (PI))))>
#<alt (* (pow f 2) (+ (* -4 (/ (+ (log (* 1/4 (PI))) (* -1 (log (/ 1 f)))) (* (pow f 2) (PI)))) (* 1/12 (PI))))>
#<alt (* (pow f 2) (+ (* -4 (/ (+ (log (* 1/4 (PI))) (* -1 (log (/ 1 f)))) (* (pow f 2) (PI)))) (* 1/12 (PI))))>
#<alt (* 1/12 (* (pow f 2) (PI)))>
#<alt (* (pow f 2) (+ (* -4 (/ (+ (log -1) (+ (log (* 1/4 (PI))) (* -1 (log (/ -1 f))))) (* (pow f 2) (PI)))) (* 1/12 (PI))))>
#<alt (* (pow f 2) (+ (* -4 (/ (+ (log -1) (+ (log (* 1/4 (PI))) (* -1 (log (/ -1 f))))) (* (pow f 2) (PI)))) (* 1/12 (PI))))>
#<alt (* (pow f 2) (+ (* -4 (/ (+ (log -1) (+ (log (* 1/4 (PI))) (* -1 (log (/ -1 f))))) (* (pow f 2) (PI)))) (* 1/12 (PI))))>
#<alt (* -1 (+ (log f) (log (* 1/4 (PI)))))>
#<alt (* -1 (+ (log f) (log (* 1/4 (PI)))))>
#<alt (* -1 (+ (log f) (log (* 1/4 (PI)))))>
#<alt (* -1 (+ (log f) (log (* 1/4 (PI)))))>
#<alt (* -1 (+ (log (* 1/4 (PI))) (* -1 (log (/ 1 f)))))>
#<alt (* -1 (+ (log (* 1/4 (PI))) (* -1 (log (/ 1 f)))))>
#<alt (* -1 (+ (log (* 1/4 (PI))) (* -1 (log (/ 1 f)))))>
#<alt (* -1 (+ (log (* 1/4 (PI))) (* -1 (log (/ 1 f)))))>
#<alt (* -1 (+ (log -1) (+ (log (* 1/4 (PI))) (* -1 (log (/ -1 f))))))>
#<alt (* -1 (+ (log -1) (+ (log (* 1/4 (PI))) (* -1 (log (/ -1 f))))))>
#<alt (* -1 (+ (log -1) (+ (log (* 1/4 (PI))) (* -1 (log (/ -1 f))))))>
#<alt (* -1 (+ (log -1) (+ (log (* 1/4 (PI))) (* -1 (log (/ -1 f))))))>
#<alt (* 1/12 (PI))>
#<alt (+ (* -1/1152 (* (pow f 2) (pow (PI) 3))) (* 1/12 (PI)))>
#<alt (+ (* -1/1152 (* (pow f 2) (pow (PI) 3))) (* 1/12 (PI)))>
#<alt (+ (* -1/1152 (* (pow f 2) (pow (PI) 3))) (* 1/12 (PI)))>
#<alt (* -1/1152 (* (pow f 2) (pow (PI) 3)))>
#<alt (* (pow f 2) (+ (* -1/1152 (pow (PI) 3)) (* 1/12 (/ (PI) (pow f 2)))))>
#<alt (* (pow f 2) (+ (* -1/1152 (pow (PI) 3)) (* 1/12 (/ (PI) (pow f 2)))))>
#<alt (* (pow f 2) (+ (* -1/1152 (pow (PI) 3)) (* 1/12 (/ (PI) (pow f 2)))))>
#<alt (* -1/1152 (* (pow f 2) (pow (PI) 3)))>
#<alt (* (pow f 2) (+ (* -1/1152 (pow (PI) 3)) (* 1/12 (/ (PI) (pow f 2)))))>
#<alt (* (pow f 2) (+ (* -1/1152 (pow (PI) 3)) (* 1/12 (/ (PI) (pow f 2)))))>
#<alt (* (pow f 2) (+ (* -1/1152 (pow (PI) 3)) (* 1/12 (/ (PI) (pow f 2)))))>
#<alt (* -1 (/ (+ (log f) (log (* 1/4 (PI)))) (PI)))>
#<alt (* -1 (/ (+ (log f) (log (* 1/4 (PI)))) (PI)))>
#<alt (* -1 (/ (+ (log f) (log (* 1/4 (PI)))) (PI)))>
#<alt (* -1 (/ (+ (log f) (log (* 1/4 (PI)))) (PI)))>
#<alt (* -1 (/ (+ (log (* 1/4 (PI))) (* -1 (log (/ 1 f)))) (PI)))>
#<alt (* -1 (/ (+ (log (* 1/4 (PI))) (* -1 (log (/ 1 f)))) (PI)))>
#<alt (* -1 (/ (+ (log (* 1/4 (PI))) (* -1 (log (/ 1 f)))) (PI)))>
#<alt (* -1 (/ (+ (log (* 1/4 (PI))) (* -1 (log (/ 1 f)))) (PI)))>
#<alt (* -1 (/ (+ (log -1) (+ (log (* 1/4 (PI))) (* -1 (log (/ -1 f))))) (PI)))>
#<alt (* -1 (/ (+ (log -1) (+ (log (* 1/4 (PI))) (* -1 (log (/ -1 f))))) (PI)))>
#<alt (* -1 (/ (+ (log -1) (+ (log (* 1/4 (PI))) (* -1 (log (/ -1 f))))) (PI)))>
#<alt (* -1 (/ (+ (log -1) (+ (log (* 1/4 (PI))) (* -1 (log (/ -1 f))))) (PI)))>
#<alt (* 1/12 (* (pow f 2) (PI)))>
#<alt (* (pow f 2) (+ (* -1/1152 (* (pow f 2) (pow (PI) 3))) (* 1/12 (PI))))>
#<alt (* (pow f 2) (+ (* -1/1152 (* (pow f 2) (pow (PI) 3))) (* 1/12 (PI))))>
#<alt (* (pow f 2) (+ (* -1/1152 (* (pow f 2) (pow (PI) 3))) (* 1/12 (PI))))>
#<alt (* -1/1152 (* (pow f 4) (pow (PI) 3)))>
#<alt (* (pow f 4) (+ (* -1/1152 (pow (PI) 3)) (* 1/12 (/ (PI) (pow f 2)))))>
#<alt (* (pow f 4) (+ (* -1/1152 (pow (PI) 3)) (* 1/12 (/ (PI) (pow f 2)))))>
#<alt (* (pow f 4) (+ (* -1/1152 (pow (PI) 3)) (* 1/12 (/ (PI) (pow f 2)))))>
#<alt (* -1/1152 (* (pow f 4) (pow (PI) 3)))>
#<alt (* (pow f 4) (+ (* -1/1152 (pow (PI) 3)) (* 1/12 (/ (PI) (pow f 2)))))>
#<alt (* (pow f 4) (+ (* -1/1152 (pow (PI) 3)) (* 1/12 (/ (PI) (pow f 2)))))>
#<alt (* (pow f 4) (+ (* -1/1152 (pow (PI) 3)) (* 1/12 (/ (PI) (pow f 2)))))>
Calls

39 calls:

TimeVariablePointExpression
6.0ms
f
@inf
(log (/ (+ (exp (* f (* 1/4 (PI)))) (exp (* f (* (PI) -1/4)))) (* f (+ (* (* f f) (+ (* (* f f) (* (pow (PI) 5) 1/61440)) (* (PI) (* (* (PI) (PI)) 1/192)))) (* (PI) 1/2)))))
2.0ms
f
@-inf
(log (/ (+ (exp (* f (* 1/4 (PI)))) (exp (* f (* (PI) -1/4)))) (* f (+ (* (* f f) (+ (* (* f f) (* (pow (PI) 5) 1/61440)) (* (PI) (* (* (PI) (PI)) 1/192)))) (* (PI) 1/2)))))
1.0ms
f
@inf
(* (/ 1 (/ (PI) 4)) (log (/ (+ (* f (* (PI) (* 1/12 f))) (/ 4 (PI))) f)))
1.0ms
f
@-inf
(* (/ 1 (/ (PI) 4)) (log (/ (+ (* f (* (PI) (* 1/12 f))) (/ 4 (PI))) f)))
1.0ms
f
@0
(* (/ 1 (/ (PI) 4)) (log (/ (+ (* f (* (PI) (* 1/12 f))) (/ 4 (PI))) f)))

rewrite337.0ms (2.1%)

Memory
5.5MiB live, 507.0MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
5 488×lower-*.f32
5 480×lower-fma.f32
5 470×lower-fma.f64
5 440×lower-*.f64
2 816×lower-pow.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
060195
0113190
1396180
23112180
08507178
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
19 → 473
Calls
Call 1
Inputs
(*.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/192 binary64)))
(*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/192 binary64))
(pow.f64 (PI.f64) #s(literal 5 binary64))
(log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))) (exp.f64 (*.f64 f (*.f64 (PI.f64) #s(literal -1/4 binary64))))) (*.f64 f (fma.f64 (*.f64 f f) (fma.f64 (*.f64 f f) (*.f64 (pow.f64 (PI.f64) #s(literal 5 binary64)) #s(literal 1/61440 binary64)) (*.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/192 binary64)))) (*.f64 (PI.f64) #s(literal 1/2 binary64))))))
(*.f64 (PI.f64) (*.f64 #s(literal 1/12 binary64) (*.f64 f f)))
(*.f64 #s(literal 1/12 binary64) (*.f64 f f))
(PI.f64)
(neg.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/12 binary64) (*.f64 f f))))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (fma.f64 f (*.f64 (PI.f64) (*.f64 #s(literal 1/12 binary64) f)) (/.f64 #s(literal 4 binary64) (PI.f64))) f)))
(/.f64 (fma.f64 f (*.f64 (PI.f64) (*.f64 #s(literal 1/12 binary64) f)) (/.f64 #s(literal 4 binary64) (PI.f64))) f)
(*.f64 (PI.f64) (*.f64 #s(literal 1/12 binary64) f))
(*.f64 #s(literal 1/12 binary64) f)
(*.f64 (*.f64 f f) (fma.f64 (-.f64 (neg.f64 (log.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)))) (log.f64 f)) (/.f64 #s(literal 4 binary64) (*.f64 (PI.f64) (*.f64 f f))) (*.f64 #s(literal 1/12 binary64) (PI.f64))))
(log.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)))
(*.f64 #s(literal 1/12 binary64) (PI.f64))
(-.f64 (neg.f64 (log.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)))) (log.f64 f))
(*.f64 (PI.f64) (fma.f64 (*.f64 (*.f64 f f) #s(literal -1/8 binary64)) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/144 binary64)) #s(literal 1/12 binary64)))
(/.f64 (-.f64 (neg.f64 (log.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)))) (log.f64 f)) (PI.f64))
(*.f64 (*.f64 f f) (*.f64 (PI.f64) (fma.f64 (*.f64 (*.f64 f f) #s(literal -1/8 binary64)) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/144 binary64)) #s(literal 1/12 binary64))))
Outputs
(*.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/192 binary64)))
(*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) #s(literal 1/192 binary64)))
(*.f64 #s(literal 1/192 binary64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))))
(*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/192 binary64)) (PI.f64))
(*.f64 #s(literal 1 binary64) (*.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/192 binary64))))
(*.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (*.f64 (cbrt.f64 (PI.f64)) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/192 binary64))))
(*.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/192 binary64))))
(*.f64 (*.f64 (PI.f64) #s(literal 1/192 binary64)) (*.f64 (PI.f64) (PI.f64)))
(*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/192 binary64))
(*.f64 (*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/192 binary64)) #s(literal 1 binary64)) (PI.f64))
(*.f64 (*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/192 binary64)) (pow.f64 (PI.f64) #s(literal 2/3 binary64))) (cbrt.f64 (PI.f64)))
(*.f64 (*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/192 binary64)) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)))
(*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/192 binary64)))
(*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/192 binary64))
(*.f64 #s(literal 1/192 binary64) (*.f64 (PI.f64) (PI.f64)))
(*.f64 #s(literal 1 binary64) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/192 binary64)))
(*.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (*.f64 (cbrt.f64 (PI.f64)) (*.f64 (PI.f64) #s(literal 1/192 binary64))))
(*.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) (*.f64 (PI.f64) #s(literal 1/192 binary64))))
(*.f64 (*.f64 (PI.f64) #s(literal 1/192 binary64)) (PI.f64))
(exp.f64 (*.f64 #s(literal 5 binary64) (log.f64 (PI.f64))))
(exp.f64 (*.f64 (log.f64 (*.f64 (PI.f64) (PI.f64))) #s(literal 5/2 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (sqrt.f64 (PI.f64)))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 (PI.f64)) #s(literal 2 binary64)) #s(literal 5/2 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 (PI.f64)) #s(literal 5/2 binary64)) #s(literal 2 binary64)))
(exp.f64 (fma.f64 (log.f64 (PI.f64)) #s(literal 5/2 binary64) (*.f64 (log.f64 (PI.f64)) #s(literal 5/2 binary64))))
(pow.f64 (PI.f64) #s(literal 5 binary64))
(pow.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 5/2 binary64))
(pow.f64 (cbrt.f64 (PI.f64)) #s(literal 15 binary64))
(pow.f64 (sqrt.f64 (PI.f64)) #s(literal 10 binary64))
(pow.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (sqrt.f64 (PI.f64))) #s(literal 2 binary64))
(pow.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 5/3 binary64))
(pow.f64 (exp.f64 #s(literal 5 binary64)) (log.f64 (PI.f64)))
(*.f64 (*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (sqrt.f64 (PI.f64))) (*.f64 (*.f64 (PI.f64) (PI.f64)) (sqrt.f64 (PI.f64)))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (sqrt.f64 (PI.f64))) (*.f64 (*.f64 (PI.f64) (PI.f64)) (sqrt.f64 (PI.f64)))))
(*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (sqrt.f64 (PI.f64))) (*.f64 (*.f64 (PI.f64) (PI.f64)) (sqrt.f64 (PI.f64))))
(*.f64 (pow.f64 (PI.f64) #s(literal 5/3 binary64)) (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 10 binary64)))
(*.f64 (pow.f64 (PI.f64) #s(literal 5/3 binary64)) (pow.f64 (pow.f64 (PI.f64) #s(literal 4/3 binary64)) #s(literal 5/2 binary64)))
(*.f64 (pow.f64 (PI.f64) #s(literal 5/4 binary64)) (pow.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64))) #s(literal 5/2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 10 binary64)) (pow.f64 (PI.f64) #s(literal 5/3 binary64)))
(*.f64 (pow.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64))) #s(literal 5/2 binary64)) (pow.f64 (PI.f64) #s(literal 5/4 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (PI.f64)))) #s(literal 5/2 binary64)) (pow.f64 (PI.f64) #s(literal 5/3 binary64)))
(*.f64 (pow.f64 (pow.f64 (PI.f64) #s(literal 5/3 binary64)) #s(literal 5/2 binary64)) (pow.f64 (PI.f64) #s(literal 5/6 binary64)))
(*.f64 (pow.f64 (pow.f64 (PI.f64) #s(literal 5/3 binary64)) #s(literal 2 binary64)) (pow.f64 (pow.f64 (PI.f64) #s(literal 5/6 binary64)) #s(literal 2 binary64)))
(log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 f (*.f64 (PI.f64) #s(literal 1/4 binary64)))) (exp.f64 (*.f64 f (*.f64 (PI.f64) #s(literal -1/4 binary64))))) (*.f64 f (fma.f64 (*.f64 f f) (fma.f64 (*.f64 f f) (*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (sqrt.f64 (PI.f64))) (*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (sqrt.f64 (PI.f64))) #s(literal 1/61440 binary64))) (*.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/192 binary64)))) (*.f64 (PI.f64) #s(literal 1/2 binary64))))))
(+.f64 (log.f64 (+.f64 (exp.f64 (*.f64 f (*.f64 (PI.f64) #s(literal 1/4 binary64)))) (exp.f64 (*.f64 f (*.f64 (PI.f64) #s(literal -1/4 binary64)))))) (neg.f64 (log.f64 (*.f64 f (fma.f64 (*.f64 f f) (fma.f64 (*.f64 f f) (*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (sqrt.f64 (PI.f64))) (*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (sqrt.f64 (PI.f64))) #s(literal 1/61440 binary64))) (*.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/192 binary64)))) (*.f64 (PI.f64) #s(literal 1/2 binary64)))))))
(+.f64 #s(literal 0 binary64) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 f (*.f64 (PI.f64) #s(literal 1/4 binary64)))) (exp.f64 (*.f64 f (*.f64 (PI.f64) #s(literal -1/4 binary64))))) (*.f64 f (fma.f64 (*.f64 f f) (fma.f64 (*.f64 f f) (*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (sqrt.f64 (PI.f64))) (*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (sqrt.f64 (PI.f64))) #s(literal 1/61440 binary64))) (*.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/192 binary64)))) (*.f64 (PI.f64) #s(literal 1/2 binary64)))))))
(+.f64 (log.f64 (neg.f64 (+.f64 (exp.f64 (*.f64 f (*.f64 (PI.f64) #s(literal 1/4 binary64)))) (exp.f64 (*.f64 f (*.f64 (PI.f64) #s(literal -1/4 binary64))))))) (log.f64 (/.f64 #s(literal 1 binary64) (neg.f64 (*.f64 f (fma.f64 (*.f64 f f) (fma.f64 (*.f64 f f) (*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (sqrt.f64 (PI.f64))) (*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (sqrt.f64 (PI.f64))) #s(literal 1/61440 binary64))) (*.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/192 binary64)))) (*.f64 (PI.f64) #s(literal 1/2 binary64))))))))
(+.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 f (*.f64 (PI.f64) #s(literal 1/4 binary64)))) (exp.f64 (*.f64 f (*.f64 (PI.f64) #s(literal -1/4 binary64))))) f)) (log.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 f f) (fma.f64 (*.f64 f f) (*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (sqrt.f64 (PI.f64))) (*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (sqrt.f64 (PI.f64))) #s(literal 1/61440 binary64))) (*.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/192 binary64)))) (*.f64 (PI.f64) #s(literal 1/2 binary64))))))
(+.f64 (neg.f64 (log.f64 (*.f64 f (fma.f64 (*.f64 f f) (fma.f64 (*.f64 f f) (*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (sqrt.f64 (PI.f64))) (*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (sqrt.f64 (PI.f64))) #s(literal 1/61440 binary64))) (*.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/192 binary64)))) (*.f64 (PI.f64) #s(literal 1/2 binary64)))))) (log.f64 (+.f64 (exp.f64 (*.f64 f (*.f64 (PI.f64) #s(literal 1/4 binary64)))) (exp.f64 (*.f64 f (*.f64 (PI.f64) #s(literal -1/4 binary64)))))))
(+.f64 (log.f64 (/.f64 (/.f64 (+.f64 (exp.f64 (*.f64 f (*.f64 (PI.f64) #s(literal 1/4 binary64)))) (exp.f64 (*.f64 f (*.f64 (PI.f64) #s(literal -1/4 binary64))))) f) (fma.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/8 binary64) (pow.f64 (*.f64 (*.f64 f f) (fma.f64 (*.f64 f f) (*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (sqrt.f64 (PI.f64))) (*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (sqrt.f64 (PI.f64))) #s(literal 1/61440 binary64))) (*.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/192 binary64))))) #s(literal 3 binary64))))) (log.f64 (fma.f64 f (*.f64 (*.f64 f (fma.f64 (*.f64 f f) (*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (sqrt.f64 (PI.f64))) (*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (sqrt.f64 (PI.f64))) #s(literal 1/61440 binary64))) (*.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/192 binary64))))) (*.f64 (*.f64 f f) (fma.f64 (*.f64 f f) (*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (sqrt.f64 (PI.f64))) (*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (sqrt.f64 (PI.f64))) #s(literal 1/61440 binary64))) (*.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/192 binary64)))))) (*.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (*.f64 f f) (fma.f64 (*.f64 f f) (*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (sqrt.f64 (PI.f64))) (*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (sqrt.f64 (PI.f64))) #s(literal 1/61440 binary64))) (*.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/192 binary64))))))))))
(+.f64 (log.f64 (/.f64 (/.f64 (+.f64 (exp.f64 (*.f64 f (*.f64 (PI.f64) #s(literal 1/4 binary64)))) (exp.f64 (*.f64 f (*.f64 (PI.f64) #s(literal -1/4 binary64))))) f) (*.f64 (fma.f64 (*.f64 f f) (fma.f64 (*.f64 f f) (*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (sqrt.f64 (PI.f64))) (*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (sqrt.f64 (PI.f64))) #s(literal 1/61440 binary64))) (*.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/192 binary64)))) (*.f64 (PI.f64) #s(literal 1/2 binary64))) (fma.f64 (*.f64 f f) (fma.f64 (*.f64 f f) (*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (sqrt.f64 (PI.f64))) (*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (sqrt.f64 (PI.f64))) #s(literal 1/61440 binary64))) (*.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/192 binary64)))) (*.f64 #s(literal -1/2 binary64) (PI.f64)))))) (log.f64 (fma.f64 (*.f64 f f) (fma.f64 (*.f64 f f) (*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (sqrt.f64 (PI.f64))) (*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (sqrt.f64 (PI.f64))) #s(literal 1/61440 binary64))) (*.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/192 binary64)))) (*.f64 #s(literal -1/2 binary64) (PI.f64)))))
(-.f64 (log.f64 (+.f64 (exp.f64 (*.f64 f (*.f64 (PI.f64) #s(literal 1/4 binary64)))) (exp.f64 (*.f64 f (*.f64 (PI.f64) #s(literal -1/4 binary64)))))) (log.f64 (*.f64 f (fma.f64 (*.f64 f f) (fma.f64 (*.f64 f f) (*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (sqrt.f64 (PI.f64))) (*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (sqrt.f64 (PI.f64))) #s(literal 1/61440 binary64))) (*.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/192 binary64)))) (*.f64 (PI.f64) #s(literal 1/2 binary64))))))
(-.f64 #s(literal 0 binary64) (log.f64 (/.f64 (*.f64 f (fma.f64 (*.f64 f f) (fma.f64 (*.f64 f f) (*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (sqrt.f64 (PI.f64))) (*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (sqrt.f64 (PI.f64))) #s(literal 1/61440 binary64))) (*.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/192 binary64)))) (*.f64 (PI.f64) #s(literal 1/2 binary64)))) (+.f64 (exp.f64 (*.f64 f (*.f64 (PI.f64) #s(literal 1/4 binary64)))) (exp.f64 (*.f64 f (*.f64 (PI.f64) #s(literal -1/4 binary64))))))))
(-.f64 #s(literal 0 binary64) (log.f64 (/.f64 (/.f64 (*.f64 f (fma.f64 (*.f64 f f) (fma.f64 (*.f64 f f) (*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (sqrt.f64 (PI.f64))) (*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (sqrt.f64 (PI.f64))) #s(literal 1/61440 binary64))) (*.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/192 binary64)))) (*.f64 (PI.f64) #s(literal 1/2 binary64)))) (+.f64 (exp.f64 (*.f64 f (*.f64 (PI.f64) #s(literal 1/4 binary64)))) (exp.f64 (*.f64 f (*.f64 (PI.f64) #s(literal -1/4 binary64)))))) #s(literal 1 binary64))))
(-.f64 #s(literal 0 binary64) (log.f64 (/.f64 (fma.f64 (*.f64 f f) (fma.f64 (*.f64 f f) (*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (sqrt.f64 (PI.f64))) (*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (sqrt.f64 (PI.f64))) #s(literal 1/61440 binary64))) (*.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/192 binary64)))) (*.f64 (PI.f64) #s(literal 1/2 binary64))) (/.f64 (+.f64 (exp.f64 (*.f64 f (*.f64 (PI.f64) #s(literal 1/4 binary64)))) (exp.f64 (*.f64 f (*.f64 (PI.f64) #s(literal -1/4 binary64))))) f))))
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(/.f64 (*.f64 (*.f64 (PI.f64) (*.f64 f f)) (fma.f64 (*.f64 f f) (*.f64 (*.f64 #s(literal -1/1152 binary64) (*.f64 (PI.f64) (PI.f64))) (*.f64 (*.f64 f f) (*.f64 #s(literal -1/1152 binary64) (*.f64 (PI.f64) (PI.f64))))) #s(literal -1/144 binary64))) (fma.f64 (*.f64 f f) (*.f64 #s(literal -1/1152 binary64) (*.f64 (PI.f64) (PI.f64))) #s(literal -1/12 binary64)))
(*.f64 (PI.f64) (*.f64 (*.f64 f f) (fma.f64 (*.f64 f f) (*.f64 #s(literal -1/1152 binary64) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/12 binary64))))
(*.f64 (PI.f64) (*.f64 (fma.f64 (*.f64 f f) (*.f64 #s(literal -1/1152 binary64) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/12 binary64)) (*.f64 f f)))
(*.f64 f (*.f64 (*.f64 (PI.f64) f) (fma.f64 (*.f64 f f) (*.f64 #s(literal -1/1152 binary64) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/12 binary64))))
(*.f64 (*.f64 f f) (*.f64 (PI.f64) (fma.f64 (*.f64 f f) (*.f64 #s(literal -1/1152 binary64) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/12 binary64))))
(*.f64 (*.f64 (PI.f64) (*.f64 f f)) (fma.f64 (*.f64 f f) (*.f64 #s(literal -1/1152 binary64) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/12 binary64)))
(*.f64 (fma.f64 (*.f64 f f) (*.f64 #s(literal -1/1152 binary64) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/12 binary64)) (*.f64 (PI.f64) (*.f64 f f)))
(*.f64 (*.f64 (PI.f64) (fma.f64 (*.f64 f f) (*.f64 #s(literal -1/1152 binary64) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/12 binary64))) (*.f64 f f))
(*.f64 (*.f64 (PI.f64) f) (*.f64 f (fma.f64 (*.f64 f f) (*.f64 #s(literal -1/1152 binary64) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/12 binary64))))
(*.f64 (*.f64 (*.f64 (PI.f64) f) (fma.f64 (*.f64 f f) (*.f64 #s(literal -1/1152 binary64) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/12 binary64))) f)
(*.f64 (*.f64 (*.f64 f f) (fma.f64 (*.f64 f f) (*.f64 #s(literal -1/1152 binary64) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/12 binary64))) (PI.f64))

simplify285.0ms (1.7%)

Memory
-8.6MiB live, 474.7MiB allocated
Algorithm
1×egg-herbie
Rules
7 576×lower-fma.f64
7 576×lower-fma.f32
4 288×lower-*.f64
4 288×lower-*.f32
2 502×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02732437
18092376
227272360
373662360
080242286
Stop Event
1×iter limit
1×node limit
Counts
156 → 156
Calls
Call 1
Inputs
(+ (log (/ 4 (PI))) (* -1 (log f)))
(+ (log (/ 4 (PI))) (+ (* -1 (log f)) (* 1/2 (* f (+ (* -1/4 (PI)) (* 1/4 (PI)))))))
(+ (log (/ 4 (PI))) (+ (* -1 (log f)) (* f (+ (* 1/2 (* f (+ (* -1/4 (pow (+ (* -1/4 (PI)) (* 1/4 (PI))) 2)) (* 1/2 (* (PI) (- (* 1/8 (PI)) (* 1/24 (PI)))))))) (* 1/2 (+ (* -1/4 (PI)) (* 1/4 (PI))))))))
(+ (log (/ 4 (PI))) (+ (* -1 (log f)) (* f (+ (* 1/2 (+ (* -1/4 (PI)) (* 1/4 (PI)))) (* f (+ (* 1/6 (* f (+ (* -3/4 (* (PI) (* (+ (* -1/4 (PI)) (* 1/4 (PI))) (- (* 1/8 (PI)) (* 1/24 (PI)))))) (+ (* 1/4 (pow (+ (* -1/4 (PI)) (* 1/4 (PI))) 3)) (* 3/2 (* (PI) (- (* 2 (/ (+ (* -1/384 (pow (PI) 3)) (* 1/384 (pow (PI) 3))) (PI))) (* 1/48 (* (PI) (+ (* -1/4 (PI)) (* 1/4 (PI)))))))))))) (* 1/2 (+ (* -1/4 (pow (+ (* -1/4 (PI)) (* 1/4 (PI))) 2)) (* 1/2 (* (PI) (- (* 1/8 (PI)) (* 1/24 (PI)))))))))))))
(+ (log (* 61440 (/ (+ (exp (* -1/4 (* f (PI)))) (exp (* 1/4 (* f (PI))))) (pow (PI) 5)))) (* 5 (log (/ 1 f))))
(- (+ (log (* 61440 (/ (+ (exp (* -1/4 (* f (PI)))) (exp (* 1/4 (* f (PI))))) (pow (PI) 5)))) (* 5 (log (/ 1 f)))) (* 320 (/ 1 (* (pow f 2) (pow (PI) 2)))))
(- (+ (log (* 61440 (/ (+ (exp (* -1/4 (* f (PI)))) (exp (* 1/4 (* f (PI))))) (pow (PI) 5)))) (+ (* 1/24 (/ (- (* -1/2560 (/ (* (pow (PI) 5) (+ (* -6291456000 (/ (+ (exp (* -1/4 (* f (PI)))) (exp (* 1/4 (* f (PI))))) (pow (PI) 9))) (* 1887436800 (/ (+ (exp (* -1/4 (* f (PI)))) (exp (* 1/4 (* f (PI))))) (pow (PI) 9))))) (+ (exp (* -1/4 (* f (PI)))) (exp (* 1/4 (* f (PI))))))) (* 1228800 (/ 1 (pow (PI) 4)))) (pow f 4))) (* 5 (log (/ 1 f))))) (/ 320 (* (pow f 2) (pow (PI) 2))))
(- (+ (log (* 61440 (/ (+ (exp (* -1/4 (* f (PI)))) (exp (* 1/4 (* f (PI))))) (pow (PI) 5)))) (+ (* 1/720 (/ (- (+ (* -15/4 (/ (* (pow (PI) 3) (+ (* -6291456000 (/ (+ (exp (* -1/4 (* f (PI)))) (exp (* 1/4 (* f (PI))))) (pow (PI) 9))) (* 1887436800 (/ (+ (exp (* -1/4 (* f (PI)))) (exp (* 1/4 (* f (PI))))) (pow (PI) 9))))) (+ (exp (* -1/4 (* f (PI)))) (exp (* 1/4 (* f (PI))))))) (* -3/256 (/ (* (pow (PI) 5) (+ (* -603979776000 (/ (+ (exp (* -1/4 (* f (PI)))) (exp (* 1/4 (* f (PI))))) (pow (PI) 11))) (* -320 (/ (+ (* -6291456000 (/ (+ (exp (* -1/4 (* f (PI)))) (exp (* 1/4 (* f (PI))))) (pow (PI) 9))) (* 1887436800 (/ (+ (exp (* -1/4 (* f (PI)))) (exp (* 1/4 (* f (PI))))) (pow (PI) 9)))) (pow (PI) 2))))) (+ (exp (* -1/4 (* f (PI)))) (exp (* 1/4 (* f (PI)))))))) (* 7864320000 (/ 1 (pow (PI) 6)))) (pow f 6))) (+ (* 1/24 (/ (- (* -1/2560 (/ (* (pow (PI) 5) (+ (* -6291456000 (/ (+ (exp (* -1/4 (* f (PI)))) (exp (* 1/4 (* f (PI))))) (pow (PI) 9))) (* 1887436800 (/ (+ (exp (* -1/4 (* f (PI)))) (exp (* 1/4 (* f (PI))))) (pow (PI) 9))))) (+ (exp (* -1/4 (* f (PI)))) (exp (* 1/4 (* f (PI))))))) (* 1228800 (/ 1 (pow (PI) 4)))) (pow f 4))) (* 5 (log (/ 1 f)))))) (/ 320 (* (pow f 2) (pow (PI) 2))))
(+ (log (* -61440 (/ (+ (exp (* -1/4 (* f (PI)))) (exp (* 1/4 (* f (PI))))) (pow (PI) 5)))) (* 5 (log (/ -1 f))))
(- (+ (log (* -61440 (/ (+ (exp (* -1/4 (* f (PI)))) (exp (* 1/4 (* f (PI))))) (pow (PI) 5)))) (* 5 (log (/ -1 f)))) (* 320 (/ 1 (* (pow f 2) (pow (PI) 2)))))
(- (+ (log (* -61440 (/ (+ (exp (* -1/4 (* f (PI)))) (exp (* 1/4 (* f (PI))))) (pow (PI) 5)))) (+ (* 1/24 (/ (- (* -1/2560 (/ (* (pow (PI) 5) (+ (* -6291456000 (/ (+ (exp (* -1/4 (* f (PI)))) (exp (* 1/4 (* f (PI))))) (pow (PI) 9))) (* 1887436800 (/ (+ (exp (* -1/4 (* f (PI)))) (exp (* 1/4 (* f (PI))))) (pow (PI) 9))))) (+ (exp (* -1/4 (* f (PI)))) (exp (* 1/4 (* f (PI))))))) (* 1228800 (/ 1 (pow (PI) 4)))) (pow f 4))) (* 5 (log (/ -1 f))))) (/ 320 (* (pow f 2) (pow (PI) 2))))
(- (+ (log (* -61440 (/ (+ (exp (* -1/4 (* f (PI)))) (exp (* 1/4 (* f (PI))))) (pow (PI) 5)))) (+ (* 1/720 (/ (- (+ (* -15/4 (/ (* (pow (PI) 3) (+ (* -6291456000 (/ (+ (exp (* -1/4 (* f (PI)))) (exp (* 1/4 (* f (PI))))) (pow (PI) 9))) (* 1887436800 (/ (+ (exp (* -1/4 (* f (PI)))) (exp (* 1/4 (* f (PI))))) (pow (PI) 9))))) (+ (exp (* -1/4 (* f (PI)))) (exp (* 1/4 (* f (PI))))))) (* -3/256 (/ (* (pow (PI) 5) (+ (* -603979776000 (/ (+ (exp (* -1/4 (* f (PI)))) (exp (* 1/4 (* f (PI))))) (pow (PI) 11))) (* -320 (/ (+ (* -6291456000 (/ (+ (exp (* -1/4 (* f (PI)))) (exp (* 1/4 (* f (PI))))) (pow (PI) 9))) (* 1887436800 (/ (+ (exp (* -1/4 (* f (PI)))) (exp (* 1/4 (* f (PI))))) (pow (PI) 9)))) (pow (PI) 2))))) (+ (exp (* -1/4 (* f (PI)))) (exp (* 1/4 (* f (PI)))))))) (* 7864320000 (/ 1 (pow (PI) 6)))) (pow f 6))) (+ (* 1/24 (/ (- (* -1/2560 (/ (* (pow (PI) 5) (+ (* -6291456000 (/ (+ (exp (* -1/4 (* f (PI)))) (exp (* 1/4 (* f (PI))))) (pow (PI) 9))) (* 1887436800 (/ (+ (exp (* -1/4 (* f (PI)))) (exp (* 1/4 (* f (PI))))) (pow (PI) 9))))) (+ (exp (* -1/4 (* f (PI)))) (exp (* 1/4 (* f (PI))))))) (* 1228800 (/ 1 (pow (PI) 4)))) (pow f 4))) (* 5 (log (/ -1 f)))))) (/ 320 (* (pow f 2) (pow (PI) 2))))
(* 1/12 (* (pow f 2) (PI)))
(* 1/12 (* (pow f 2) (PI)))
(* 1/12 (* (pow f 2) (PI)))
(* 1/12 (* (pow f 2) (PI)))
(* 1/12 (* (pow f 2) (PI)))
(* 1/12 (* (pow f 2) (PI)))
(* 1/12 (* (pow f 2) (PI)))
(* 1/12 (* (pow f 2) (PI)))
(* 1/12 (* (pow f 2) (PI)))
(* 1/12 (* (pow f 2) (PI)))
(* 1/12 (* (pow f 2) (PI)))
(* 1/12 (* (pow f 2) (PI)))
(* 1/12 (pow f 2))
(* 1/12 (pow f 2))
(* 1/12 (pow f 2))
(* 1/12 (pow f 2))
(* 1/12 (pow f 2))
(* 1/12 (pow f 2))
(* 1/12 (pow f 2))
(* 1/12 (pow f 2))
(* 1/12 (pow f 2))
(* 1/12 (pow f 2))
(* 1/12 (pow f 2))
(* 1/12 (pow f 2))
(* -1/12 (* (pow f 2) (PI)))
(* -1/12 (* (pow f 2) (PI)))
(* -1/12 (* (pow f 2) (PI)))
(* -1/12 (* (pow f 2) (PI)))
(* -1/12 (* (pow f 2) (PI)))
(* -1/12 (* (pow f 2) (PI)))
(* -1/12 (* (pow f 2) (PI)))
(* -1/12 (* (pow f 2) (PI)))
(* -1/12 (* (pow f 2) (PI)))
(* -1/12 (* (pow f 2) (PI)))
(* -1/12 (* (pow f 2) (PI)))
(* -1/12 (* (pow f 2) (PI)))
(* 4 (/ (+ (log (/ 4 (PI))) (* -1 (log f))) (PI)))
(+ (* 1/12 (* (pow f 2) (PI))) (* 4 (/ (+ (log (/ 4 (PI))) (* -1 (log f))) (PI))))
(+ (* 4 (/ (+ (log (/ 4 (PI))) (* -1 (log f))) (PI))) (* (pow f 2) (+ (* -1/1152 (* (pow f 2) (pow (PI) 3))) (* 1/12 (PI)))))
(+ (* 4 (/ (+ (log (/ 4 (PI))) (* -1 (log f))) (PI))) (* (pow f 2) (+ (* 1/12 (PI)) (* (pow f 2) (+ (* -1/1152 (pow (PI) 3)) (* 1/82944 (* (pow f 2) (pow (PI) 5))))))))
(* 4 (/ (+ (log (* 1/12 (PI))) (* -1 (log (/ 1 f)))) (PI)))
(+ (* 4 (/ (+ (log (* 1/12 (PI))) (* -1 (log (/ 1 f)))) (PI))) (* 192 (/ 1 (* (pow f 2) (pow (PI) 3)))))
(- (+ (* 4 (/ (+ (log (* 1/12 (PI))) (* -1 (log (/ 1 f)))) (PI))) (/ 192 (* (pow f 2) (pow (PI) 3)))) (/ 4608 (* (pow f 4) (pow (PI) 5))))
(- (+ (* 4 (/ (+ (log (* 1/12 (PI))) (* -1 (log (/ 1 f)))) (PI))) (+ (* 147456 (/ 1 (* (pow f 6) (pow (PI) 7)))) (/ 192 (* (pow f 2) (pow (PI) 3))))) (* 4608 (/ 1 (* (pow f 4) (pow (PI) 5)))))
(* 4 (/ (+ (log (* -1/12 (PI))) (* -1 (log (/ -1 f)))) (PI)))
(+ (* 4 (/ (+ (log (* -1/12 (PI))) (* -1 (log (/ -1 f)))) (PI))) (* 192 (/ 1 (* (pow f 2) (pow (PI) 3)))))
(- (+ (* 4 (/ (+ (log (* -1/12 (PI))) (* -1 (log (/ -1 f)))) (PI))) (/ 192 (* (pow f 2) (pow (PI) 3)))) (/ 4608 (* (pow f 4) (pow (PI) 5))))
(- (+ (* 4 (/ (+ (log (* -1/12 (PI))) (* -1 (log (/ -1 f)))) (PI))) (+ (* 147456 (/ 1 (* (pow f 6) (pow (PI) 7)))) (/ 192 (* (pow f 2) (pow (PI) 3))))) (* 4608 (/ 1 (* (pow f 4) (pow (PI) 5)))))
(/ 4 (* f (PI)))
(/ (+ (* 1/12 (* (pow f 2) (PI))) (* 4 (/ 1 (PI)))) f)
(/ (+ (* 1/12 (* (pow f 2) (PI))) (* 4 (/ 1 (PI)))) f)
(/ (+ (* 1/12 (* (pow f 2) (PI))) (* 4 (/ 1 (PI)))) f)
(* 1/12 (* f (PI)))
(* f (+ (* 1/12 (PI)) (* 4 (/ 1 (* (pow f 2) (PI))))))
(* f (+ (* 1/12 (PI)) (* 4 (/ 1 (* (pow f 2) (PI))))))
(* f (+ (* 1/12 (PI)) (* 4 (/ 1 (* (pow f 2) (PI))))))
(* 1/12 (* f (PI)))
(* -1 (* f (- (* -1/12 (PI)) (* 4 (/ 1 (* (pow f 2) (PI)))))))
(* -1 (* f (- (* -1/12 (PI)) (* 4 (/ 1 (* (pow f 2) (PI)))))))
(* -1 (* f (- (* -1/12 (PI)) (* 4 (/ 1 (* (pow f 2) (PI)))))))
(* 1/12 (* f (PI)))
(* 1/12 (* f (PI)))
(* 1/12 (* f (PI)))
(* 1/12 (* f (PI)))
(* 1/12 (* f (PI)))
(* 1/12 (* f (PI)))
(* 1/12 (* f (PI)))
(* 1/12 (* f (PI)))
(* 1/12 (* f (PI)))
(* 1/12 (* f (PI)))
(* 1/12 (* f (PI)))
(* 1/12 (* f (PI)))
(* 1/12 f)
(* 1/12 f)
(* 1/12 f)
(* 1/12 f)
(* 1/12 f)
(* 1/12 f)
(* 1/12 f)
(* 1/12 f)
(* 1/12 f)
(* 1/12 f)
(* 1/12 f)
(* 1/12 f)
(* -4 (/ (+ (log f) (log (* 1/4 (PI)))) (PI)))
(+ (* -4 (/ (+ (log f) (log (* 1/4 (PI)))) (PI))) (* 1/12 (* (pow f 2) (PI))))
(+ (* -4 (/ (+ (log f) (log (* 1/4 (PI)))) (PI))) (* 1/12 (* (pow f 2) (PI))))
(+ (* -4 (/ (+ (log f) (log (* 1/4 (PI)))) (PI))) (* 1/12 (* (pow f 2) (PI))))
(* 1/12 (* (pow f 2) (PI)))
(* (pow f 2) (+ (* -4 (/ (+ (log (* 1/4 (PI))) (* -1 (log (/ 1 f)))) (* (pow f 2) (PI)))) (* 1/12 (PI))))
(* (pow f 2) (+ (* -4 (/ (+ (log (* 1/4 (PI))) (* -1 (log (/ 1 f)))) (* (pow f 2) (PI)))) (* 1/12 (PI))))
(* (pow f 2) (+ (* -4 (/ (+ (log (* 1/4 (PI))) (* -1 (log (/ 1 f)))) (* (pow f 2) (PI)))) (* 1/12 (PI))))
(* 1/12 (* (pow f 2) (PI)))
(* (pow f 2) (+ (* -4 (/ (+ (log -1) (+ (log (* 1/4 (PI))) (* -1 (log (/ -1 f))))) (* (pow f 2) (PI)))) (* 1/12 (PI))))
(* (pow f 2) (+ (* -4 (/ (+ (log -1) (+ (log (* 1/4 (PI))) (* -1 (log (/ -1 f))))) (* (pow f 2) (PI)))) (* 1/12 (PI))))
(* (pow f 2) (+ (* -4 (/ (+ (log -1) (+ (log (* 1/4 (PI))) (* -1 (log (/ -1 f))))) (* (pow f 2) (PI)))) (* 1/12 (PI))))
(* -1 (+ (log f) (log (* 1/4 (PI)))))
(* -1 (+ (log f) (log (* 1/4 (PI)))))
(* -1 (+ (log f) (log (* 1/4 (PI)))))
(* -1 (+ (log f) (log (* 1/4 (PI)))))
(* -1 (+ (log (* 1/4 (PI))) (* -1 (log (/ 1 f)))))
(* -1 (+ (log (* 1/4 (PI))) (* -1 (log (/ 1 f)))))
(* -1 (+ (log (* 1/4 (PI))) (* -1 (log (/ 1 f)))))
(* -1 (+ (log (* 1/4 (PI))) (* -1 (log (/ 1 f)))))
(* -1 (+ (log -1) (+ (log (* 1/4 (PI))) (* -1 (log (/ -1 f))))))
(* -1 (+ (log -1) (+ (log (* 1/4 (PI))) (* -1 (log (/ -1 f))))))
(* -1 (+ (log -1) (+ (log (* 1/4 (PI))) (* -1 (log (/ -1 f))))))
(* -1 (+ (log -1) (+ (log (* 1/4 (PI))) (* -1 (log (/ -1 f))))))
(* 1/12 (PI))
(+ (* -1/1152 (* (pow f 2) (pow (PI) 3))) (* 1/12 (PI)))
(+ (* -1/1152 (* (pow f 2) (pow (PI) 3))) (* 1/12 (PI)))
(+ (* -1/1152 (* (pow f 2) (pow (PI) 3))) (* 1/12 (PI)))
(* -1/1152 (* (pow f 2) (pow (PI) 3)))
(* (pow f 2) (+ (* -1/1152 (pow (PI) 3)) (* 1/12 (/ (PI) (pow f 2)))))
(* (pow f 2) (+ (* -1/1152 (pow (PI) 3)) (* 1/12 (/ (PI) (pow f 2)))))
(* (pow f 2) (+ (* -1/1152 (pow (PI) 3)) (* 1/12 (/ (PI) (pow f 2)))))
(* -1/1152 (* (pow f 2) (pow (PI) 3)))
(* (pow f 2) (+ (* -1/1152 (pow (PI) 3)) (* 1/12 (/ (PI) (pow f 2)))))
(* (pow f 2) (+ (* -1/1152 (pow (PI) 3)) (* 1/12 (/ (PI) (pow f 2)))))
(* (pow f 2) (+ (* -1/1152 (pow (PI) 3)) (* 1/12 (/ (PI) (pow f 2)))))
(* -1 (/ (+ (log f) (log (* 1/4 (PI)))) (PI)))
(* -1 (/ (+ (log f) (log (* 1/4 (PI)))) (PI)))
(* -1 (/ (+ (log f) (log (* 1/4 (PI)))) (PI)))
(* -1 (/ (+ (log f) (log (* 1/4 (PI)))) (PI)))
(* -1 (/ (+ (log (* 1/4 (PI))) (* -1 (log (/ 1 f)))) (PI)))
(* -1 (/ (+ (log (* 1/4 (PI))) (* -1 (log (/ 1 f)))) (PI)))
(* -1 (/ (+ (log (* 1/4 (PI))) (* -1 (log (/ 1 f)))) (PI)))
(* -1 (/ (+ (log (* 1/4 (PI))) (* -1 (log (/ 1 f)))) (PI)))
(* -1 (/ (+ (log -1) (+ (log (* 1/4 (PI))) (* -1 (log (/ -1 f))))) (PI)))
(* -1 (/ (+ (log -1) (+ (log (* 1/4 (PI))) (* -1 (log (/ -1 f))))) (PI)))
(* -1 (/ (+ (log -1) (+ (log (* 1/4 (PI))) (* -1 (log (/ -1 f))))) (PI)))
(* -1 (/ (+ (log -1) (+ (log (* 1/4 (PI))) (* -1 (log (/ -1 f))))) (PI)))
(* 1/12 (* (pow f 2) (PI)))
(* (pow f 2) (+ (* -1/1152 (* (pow f 2) (pow (PI) 3))) (* 1/12 (PI))))
(* (pow f 2) (+ (* -1/1152 (* (pow f 2) (pow (PI) 3))) (* 1/12 (PI))))
(* (pow f 2) (+ (* -1/1152 (* (pow f 2) (pow (PI) 3))) (* 1/12 (PI))))
(* -1/1152 (* (pow f 4) (pow (PI) 3)))
(* (pow f 4) (+ (* -1/1152 (pow (PI) 3)) (* 1/12 (/ (PI) (pow f 2)))))
(* (pow f 4) (+ (* -1/1152 (pow (PI) 3)) (* 1/12 (/ (PI) (pow f 2)))))
(* (pow f 4) (+ (* -1/1152 (pow (PI) 3)) (* 1/12 (/ (PI) (pow f 2)))))
(* -1/1152 (* (pow f 4) (pow (PI) 3)))
(* (pow f 4) (+ (* -1/1152 (pow (PI) 3)) (* 1/12 (/ (PI) (pow f 2)))))
(* (pow f 4) (+ (* -1/1152 (pow (PI) 3)) (* 1/12 (/ (PI) (pow f 2)))))
(* (pow f 4) (+ (* -1/1152 (pow (PI) 3)) (* 1/12 (/ (PI) (pow f 2)))))
Outputs
(+ (log (/ 4 (PI))) (* -1 (log f)))
(-.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (log.f64 f))
(+ (log (/ 4 (PI))) (+ (* -1 (log f)) (* 1/2 (* f (+ (* -1/4 (PI)) (* 1/4 (PI)))))))
(-.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (log.f64 f))
(+ (log (/ 4 (PI))) (+ (* -1 (log f)) (* f (+ (* 1/2 (* f (+ (* -1/4 (pow (+ (* -1/4 (PI)) (* 1/4 (PI))) 2)) (* 1/2 (* (PI) (- (* 1/8 (PI)) (* 1/24 (PI)))))))) (* 1/2 (+ (* -1/4 (PI)) (* 1/4 (PI))))))))
(-.f64 (fma.f64 (*.f64 f f) (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/12 binary64)))) (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64)))) (log.f64 f))
(+ (log (/ 4 (PI))) (+ (* -1 (log f)) (* f (+ (* 1/2 (+ (* -1/4 (PI)) (* 1/4 (PI)))) (* f (+ (* 1/6 (* f (+ (* -3/4 (* (PI) (* (+ (* -1/4 (PI)) (* 1/4 (PI))) (- (* 1/8 (PI)) (* 1/24 (PI)))))) (+ (* 1/4 (pow (+ (* -1/4 (PI)) (* 1/4 (PI))) 3)) (* 3/2 (* (PI) (- (* 2 (/ (+ (* -1/384 (pow (PI) 3)) (* 1/384 (pow (PI) 3))) (PI))) (* 1/48 (* (PI) (+ (* -1/4 (PI)) (* 1/4 (PI)))))))))))) (* 1/2 (+ (* -1/4 (pow (+ (* -1/4 (PI)) (* 1/4 (PI))) 2)) (* 1/2 (* (PI) (- (* 1/8 (PI)) (* 1/24 (PI)))))))))))))
(-.f64 (fma.f64 (*.f64 f f) (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/12 binary64)))) (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64)))) (log.f64 f))
(+ (log (* 61440 (/ (+ (exp (* -1/4 (* f (PI)))) (exp (* 1/4 (* f (PI))))) (pow (PI) 5)))) (* 5 (log (/ 1 f))))
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(*.f64 (*.f64 f f) (*.f64 (PI.f64) (fma.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (*.f64 f f) #s(literal -1/1152 binary64)) #s(literal 1/12 binary64))))
(* (pow f 2) (+ (* -1/1152 (* (pow f 2) (pow (PI) 3))) (* 1/12 (PI))))
(*.f64 (*.f64 f f) (*.f64 (PI.f64) (fma.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (*.f64 f f) #s(literal -1/1152 binary64)) #s(literal 1/12 binary64))))
(* -1/1152 (* (pow f 4) (pow (PI) 3)))
(*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (*.f64 (*.f64 (*.f64 f f) (*.f64 f f)) #s(literal -1/1152 binary64)))
(* (pow f 4) (+ (* -1/1152 (pow (PI) 3)) (* 1/12 (/ (PI) (pow f 2)))))
(*.f64 (*.f64 (*.f64 f f) (*.f64 f f)) (*.f64 (PI.f64) (fma.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal -1/1152 binary64) (/.f64 #s(literal 1/12 binary64) (*.f64 f f)))))
(* (pow f 4) (+ (* -1/1152 (pow (PI) 3)) (* 1/12 (/ (PI) (pow f 2)))))
(*.f64 (*.f64 (*.f64 f f) (*.f64 f f)) (*.f64 (PI.f64) (fma.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal -1/1152 binary64) (/.f64 #s(literal 1/12 binary64) (*.f64 f f)))))
(* (pow f 4) (+ (* -1/1152 (pow (PI) 3)) (* 1/12 (/ (PI) (pow f 2)))))
(*.f64 (*.f64 (*.f64 f f) (*.f64 f f)) (*.f64 (PI.f64) (fma.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal -1/1152 binary64) (/.f64 #s(literal 1/12 binary64) (*.f64 f f)))))
(* -1/1152 (* (pow f 4) (pow (PI) 3)))
(*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (*.f64 (*.f64 (*.f64 f f) (*.f64 f f)) #s(literal -1/1152 binary64)))
(* (pow f 4) (+ (* -1/1152 (pow (PI) 3)) (* 1/12 (/ (PI) (pow f 2)))))
(*.f64 (*.f64 (*.f64 f f) (*.f64 f f)) (*.f64 (PI.f64) (fma.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal -1/1152 binary64) (/.f64 #s(literal 1/12 binary64) (*.f64 f f)))))
(* (pow f 4) (+ (* -1/1152 (pow (PI) 3)) (* 1/12 (/ (PI) (pow f 2)))))
(*.f64 (*.f64 (*.f64 f f) (*.f64 f f)) (*.f64 (PI.f64) (fma.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal -1/1152 binary64) (/.f64 #s(literal 1/12 binary64) (*.f64 f f)))))
(* (pow f 4) (+ (* -1/1152 (pow (PI) 3)) (* 1/12 (/ (PI) (pow f 2)))))
(*.f64 (*.f64 (*.f64 f f) (*.f64 f f)) (*.f64 (PI.f64) (fma.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal -1/1152 binary64) (/.f64 #s(literal 1/12 binary64) (*.f64 f f)))))

simplify129.0ms (0.8%)

Memory
26.7MiB live, 147.9MiB allocated
Algorithm
1×egg-herbie
Rules
2×1-exp
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
010279249
110289249
010289249
Stop Event
1×saturated
1×saturated
Counts
473 → 0
Calls
Call 1
Inputs
(*.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/192 binary64)))
(*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) #s(literal 1/192 binary64)))
(*.f64 #s(literal 1/192 binary64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))))
(*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/192 binary64)) (PI.f64))
(*.f64 #s(literal 1 binary64) (*.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/192 binary64))))
(*.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (*.f64 (cbrt.f64 (PI.f64)) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/192 binary64))))
(*.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/192 binary64))))
(*.f64 (*.f64 (PI.f64) #s(literal 1/192 binary64)) (*.f64 (PI.f64) (PI.f64)))
(*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/192 binary64))
(*.f64 (*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/192 binary64)) #s(literal 1 binary64)) (PI.f64))
(*.f64 (*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/192 binary64)) (pow.f64 (PI.f64) #s(literal 2/3 binary64))) (cbrt.f64 (PI.f64)))
(*.f64 (*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/192 binary64)) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)))
(*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/192 binary64)))
(*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/192 binary64))
(*.f64 #s(literal 1/192 binary64) (*.f64 (PI.f64) (PI.f64)))
(*.f64 #s(literal 1 binary64) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/192 binary64)))
(*.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (*.f64 (cbrt.f64 (PI.f64)) (*.f64 (PI.f64) #s(literal 1/192 binary64))))
(*.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) (*.f64 (PI.f64) #s(literal 1/192 binary64))))
(*.f64 (*.f64 (PI.f64) #s(literal 1/192 binary64)) (PI.f64))
(exp.f64 (*.f64 #s(literal 5 binary64) (log.f64 (PI.f64))))
(exp.f64 (*.f64 (log.f64 (*.f64 (PI.f64) (PI.f64))) #s(literal 5/2 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (sqrt.f64 (PI.f64)))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 (PI.f64)) #s(literal 2 binary64)) #s(literal 5/2 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 (PI.f64)) #s(literal 5/2 binary64)) #s(literal 2 binary64)))
(exp.f64 (fma.f64 (log.f64 (PI.f64)) #s(literal 5/2 binary64) (*.f64 (log.f64 (PI.f64)) #s(literal 5/2 binary64))))
(pow.f64 (PI.f64) #s(literal 5 binary64))
(pow.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 5/2 binary64))
(pow.f64 (cbrt.f64 (PI.f64)) #s(literal 15 binary64))
(pow.f64 (sqrt.f64 (PI.f64)) #s(literal 10 binary64))
(pow.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (sqrt.f64 (PI.f64))) #s(literal 2 binary64))
(pow.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 5/3 binary64))
(pow.f64 (exp.f64 #s(literal 5 binary64)) (log.f64 (PI.f64)))
(*.f64 (*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (sqrt.f64 (PI.f64))) (*.f64 (*.f64 (PI.f64) (PI.f64)) (sqrt.f64 (PI.f64)))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (sqrt.f64 (PI.f64))) (*.f64 (*.f64 (PI.f64) (PI.f64)) (sqrt.f64 (PI.f64)))))
(*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (sqrt.f64 (PI.f64))) (*.f64 (*.f64 (PI.f64) (PI.f64)) (sqrt.f64 (PI.f64))))
(*.f64 (pow.f64 (PI.f64) #s(literal 5/3 binary64)) (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 10 binary64)))
(*.f64 (pow.f64 (PI.f64) #s(literal 5/3 binary64)) (pow.f64 (pow.f64 (PI.f64) #s(literal 4/3 binary64)) #s(literal 5/2 binary64)))
(*.f64 (pow.f64 (PI.f64) #s(literal 5/4 binary64)) (pow.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64))) #s(literal 5/2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 10 binary64)) (pow.f64 (PI.f64) #s(literal 5/3 binary64)))
(*.f64 (pow.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64))) #s(literal 5/2 binary64)) (pow.f64 (PI.f64) #s(literal 5/4 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (PI.f64)))) #s(literal 5/2 binary64)) (pow.f64 (PI.f64) #s(literal 5/3 binary64)))
(*.f64 (pow.f64 (pow.f64 (PI.f64) #s(literal 5/3 binary64)) #s(literal 5/2 binary64)) (pow.f64 (PI.f64) #s(literal 5/6 binary64)))
(*.f64 (pow.f64 (pow.f64 (PI.f64) #s(literal 5/3 binary64)) #s(literal 2 binary64)) (pow.f64 (pow.f64 (PI.f64) #s(literal 5/6 binary64)) #s(literal 2 binary64)))
(log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 f (*.f64 (PI.f64) #s(literal 1/4 binary64)))) (exp.f64 (*.f64 f (*.f64 (PI.f64) #s(literal -1/4 binary64))))) (*.f64 f (fma.f64 (*.f64 f f) (fma.f64 (*.f64 f f) (*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (sqrt.f64 (PI.f64))) (*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (sqrt.f64 (PI.f64))) #s(literal 1/61440 binary64))) (*.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/192 binary64)))) (*.f64 (PI.f64) #s(literal 1/2 binary64))))))
(+.f64 (log.f64 (+.f64 (exp.f64 (*.f64 f (*.f64 (PI.f64) #s(literal 1/4 binary64)))) (exp.f64 (*.f64 f (*.f64 (PI.f64) #s(literal -1/4 binary64)))))) (neg.f64 (log.f64 (*.f64 f (fma.f64 (*.f64 f f) (fma.f64 (*.f64 f f) (*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (sqrt.f64 (PI.f64))) (*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (sqrt.f64 (PI.f64))) #s(literal 1/61440 binary64))) (*.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/192 binary64)))) (*.f64 (PI.f64) #s(literal 1/2 binary64)))))))
(+.f64 #s(literal 0 binary64) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 f (*.f64 (PI.f64) #s(literal 1/4 binary64)))) (exp.f64 (*.f64 f (*.f64 (PI.f64) #s(literal -1/4 binary64))))) (*.f64 f (fma.f64 (*.f64 f f) (fma.f64 (*.f64 f f) (*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (sqrt.f64 (PI.f64))) (*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (sqrt.f64 (PI.f64))) #s(literal 1/61440 binary64))) (*.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/192 binary64)))) (*.f64 (PI.f64) #s(literal 1/2 binary64)))))))
(+.f64 (log.f64 (neg.f64 (+.f64 (exp.f64 (*.f64 f (*.f64 (PI.f64) #s(literal 1/4 binary64)))) (exp.f64 (*.f64 f (*.f64 (PI.f64) #s(literal -1/4 binary64))))))) (log.f64 (/.f64 #s(literal 1 binary64) (neg.f64 (*.f64 f (fma.f64 (*.f64 f f) (fma.f64 (*.f64 f f) (*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (sqrt.f64 (PI.f64))) (*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (sqrt.f64 (PI.f64))) #s(literal 1/61440 binary64))) (*.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/192 binary64)))) (*.f64 (PI.f64) #s(literal 1/2 binary64))))))))
(+.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 f (*.f64 (PI.f64) #s(literal 1/4 binary64)))) (exp.f64 (*.f64 f (*.f64 (PI.f64) #s(literal -1/4 binary64))))) f)) (log.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 f f) (fma.f64 (*.f64 f f) (*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (sqrt.f64 (PI.f64))) (*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (sqrt.f64 (PI.f64))) #s(literal 1/61440 binary64))) (*.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/192 binary64)))) (*.f64 (PI.f64) #s(literal 1/2 binary64))))))
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(+.f64 (log.f64 (/.f64 (/.f64 (+.f64 (exp.f64 (*.f64 f (*.f64 (PI.f64) #s(literal 1/4 binary64)))) (exp.f64 (*.f64 f (*.f64 (PI.f64) #s(literal -1/4 binary64))))) f) (fma.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/8 binary64) (pow.f64 (*.f64 (*.f64 f f) (fma.f64 (*.f64 f f) (*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (sqrt.f64 (PI.f64))) (*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (sqrt.f64 (PI.f64))) #s(literal 1/61440 binary64))) (*.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/192 binary64))))) #s(literal 3 binary64))))) (log.f64 (fma.f64 f (*.f64 (*.f64 f (fma.f64 (*.f64 f f) (*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (sqrt.f64 (PI.f64))) (*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (sqrt.f64 (PI.f64))) #s(literal 1/61440 binary64))) (*.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/192 binary64))))) (*.f64 (*.f64 f f) (fma.f64 (*.f64 f f) (*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (sqrt.f64 (PI.f64))) (*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (sqrt.f64 (PI.f64))) #s(literal 1/61440 binary64))) (*.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/192 binary64)))))) (*.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (*.f64 f f) (fma.f64 (*.f64 f f) (*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (sqrt.f64 (PI.f64))) (*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (sqrt.f64 (PI.f64))) #s(literal 1/61440 binary64))) (*.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/192 binary64))))))))))
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(-.f64 #s(literal 0 binary64) (log.f64 (/.f64 (*.f64 f (fma.f64 (*.f64 f f) (fma.f64 (*.f64 f f) (*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (sqrt.f64 (PI.f64))) (*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (sqrt.f64 (PI.f64))) #s(literal 1/61440 binary64))) (*.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/192 binary64)))) (*.f64 (PI.f64) #s(literal 1/2 binary64)))) (+.f64 (exp.f64 (*.f64 f (*.f64 (PI.f64) #s(literal 1/4 binary64)))) (exp.f64 (*.f64 f (*.f64 (PI.f64) #s(literal -1/4 binary64))))))))
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(/.f64 (*.f64 (*.f64 (PI.f64) (*.f64 f f)) (fma.f64 (*.f64 f f) (*.f64 (*.f64 #s(literal -1/1152 binary64) (*.f64 (PI.f64) (PI.f64))) (*.f64 (*.f64 f f) (*.f64 #s(literal -1/1152 binary64) (*.f64 (PI.f64) (PI.f64))))) #s(literal -1/144 binary64))) (fma.f64 (*.f64 f f) (*.f64 #s(literal -1/1152 binary64) (*.f64 (PI.f64) (PI.f64))) #s(literal -1/12 binary64)))
(*.f64 (PI.f64) (*.f64 (*.f64 f f) (fma.f64 (*.f64 f f) (*.f64 #s(literal -1/1152 binary64) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/12 binary64))))
(*.f64 (PI.f64) (*.f64 (fma.f64 (*.f64 f f) (*.f64 #s(literal -1/1152 binary64) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/12 binary64)) (*.f64 f f)))
(*.f64 f (*.f64 (*.f64 (PI.f64) f) (fma.f64 (*.f64 f f) (*.f64 #s(literal -1/1152 binary64) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/12 binary64))))
(*.f64 (*.f64 f f) (*.f64 (PI.f64) (fma.f64 (*.f64 f f) (*.f64 #s(literal -1/1152 binary64) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/12 binary64))))
(*.f64 (*.f64 (PI.f64) (*.f64 f f)) (fma.f64 (*.f64 f f) (*.f64 #s(literal -1/1152 binary64) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/12 binary64)))
(*.f64 (fma.f64 (*.f64 f f) (*.f64 #s(literal -1/1152 binary64) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/12 binary64)) (*.f64 (PI.f64) (*.f64 f f)))
(*.f64 (*.f64 (PI.f64) (fma.f64 (*.f64 f f) (*.f64 #s(literal -1/1152 binary64) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/12 binary64))) (*.f64 f f))
(*.f64 (*.f64 (PI.f64) f) (*.f64 f (fma.f64 (*.f64 f f) (*.f64 #s(literal -1/1152 binary64) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/12 binary64))))
(*.f64 (*.f64 (*.f64 (PI.f64) f) (fma.f64 (*.f64 f f) (*.f64 #s(literal -1/1152 binary64) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/12 binary64))) f)
(*.f64 (*.f64 (*.f64 f f) (fma.f64 (*.f64 f f) (*.f64 #s(literal -1/1152 binary64) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/12 binary64))) (PI.f64))
Outputs
(*.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/192 binary64)))
(*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) #s(literal 1/192 binary64)))
(*.f64 #s(literal 1/192 binary64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))))
(*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/192 binary64)) (PI.f64))
(*.f64 #s(literal 1 binary64) (*.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/192 binary64))))
(*.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (*.f64 (cbrt.f64 (PI.f64)) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/192 binary64))))
(*.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/192 binary64))))
(*.f64 (*.f64 (PI.f64) #s(literal 1/192 binary64)) (*.f64 (PI.f64) (PI.f64)))
(*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/192 binary64))
(*.f64 (*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/192 binary64)) #s(literal 1 binary64)) (PI.f64))
(*.f64 (*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/192 binary64)) (pow.f64 (PI.f64) #s(literal 2/3 binary64))) (cbrt.f64 (PI.f64)))
(*.f64 (*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/192 binary64)) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)))
(*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/192 binary64)))
(*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/192 binary64))
(*.f64 #s(literal 1/192 binary64) (*.f64 (PI.f64) (PI.f64)))
(*.f64 #s(literal 1 binary64) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/192 binary64)))
(*.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (*.f64 (cbrt.f64 (PI.f64)) (*.f64 (PI.f64) #s(literal 1/192 binary64))))
(*.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) (*.f64 (PI.f64) #s(literal 1/192 binary64))))
(*.f64 (*.f64 (PI.f64) #s(literal 1/192 binary64)) (PI.f64))
(exp.f64 (*.f64 #s(literal 5 binary64) (log.f64 (PI.f64))))
(exp.f64 (*.f64 (log.f64 (*.f64 (PI.f64) (PI.f64))) #s(literal 5/2 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (sqrt.f64 (PI.f64)))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 (PI.f64)) #s(literal 2 binary64)) #s(literal 5/2 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 (PI.f64)) #s(literal 5/2 binary64)) #s(literal 2 binary64)))
(exp.f64 (fma.f64 (log.f64 (PI.f64)) #s(literal 5/2 binary64) (*.f64 (log.f64 (PI.f64)) #s(literal 5/2 binary64))))
(pow.f64 (PI.f64) #s(literal 5 binary64))
(pow.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 5/2 binary64))
(pow.f64 (cbrt.f64 (PI.f64)) #s(literal 15 binary64))
(pow.f64 (sqrt.f64 (PI.f64)) #s(literal 10 binary64))
(pow.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (sqrt.f64 (PI.f64))) #s(literal 2 binary64))
(pow.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 5/3 binary64))
(pow.f64 (exp.f64 #s(literal 5 binary64)) (log.f64 (PI.f64)))
(*.f64 (*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (sqrt.f64 (PI.f64))) (*.f64 (*.f64 (PI.f64) (PI.f64)) (sqrt.f64 (PI.f64)))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (sqrt.f64 (PI.f64))) (*.f64 (*.f64 (PI.f64) (PI.f64)) (sqrt.f64 (PI.f64)))))
(*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (sqrt.f64 (PI.f64))) (*.f64 (*.f64 (PI.f64) (PI.f64)) (sqrt.f64 (PI.f64))))
(*.f64 (pow.f64 (PI.f64) #s(literal 5/3 binary64)) (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 10 binary64)))
(*.f64 (pow.f64 (PI.f64) #s(literal 5/3 binary64)) (pow.f64 (pow.f64 (PI.f64) #s(literal 4/3 binary64)) #s(literal 5/2 binary64)))
(*.f64 (pow.f64 (PI.f64) #s(literal 5/4 binary64)) (pow.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64))) #s(literal 5/2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 10 binary64)) (pow.f64 (PI.f64) #s(literal 5/3 binary64)))
(*.f64 (pow.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64))) #s(literal 5/2 binary64)) (pow.f64 (PI.f64) #s(literal 5/4 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (PI.f64)))) #s(literal 5/2 binary64)) (pow.f64 (PI.f64) #s(literal 5/3 binary64)))
(*.f64 (pow.f64 (pow.f64 (PI.f64) #s(literal 5/3 binary64)) #s(literal 5/2 binary64)) (pow.f64 (PI.f64) #s(literal 5/6 binary64)))
(*.f64 (pow.f64 (pow.f64 (PI.f64) #s(literal 5/3 binary64)) #s(literal 2 binary64)) (pow.f64 (pow.f64 (PI.f64) #s(literal 5/6 binary64)) #s(literal 2 binary64)))
(log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 f (*.f64 (PI.f64) #s(literal 1/4 binary64)))) (exp.f64 (*.f64 f (*.f64 (PI.f64) #s(literal -1/4 binary64))))) (*.f64 f (fma.f64 (*.f64 f f) (fma.f64 (*.f64 f f) (*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (sqrt.f64 (PI.f64))) (*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (sqrt.f64 (PI.f64))) #s(literal 1/61440 binary64))) (*.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/192 binary64)))) (*.f64 (PI.f64) #s(literal 1/2 binary64))))))
(+.f64 (log.f64 (+.f64 (exp.f64 (*.f64 f (*.f64 (PI.f64) #s(literal 1/4 binary64)))) (exp.f64 (*.f64 f (*.f64 (PI.f64) #s(literal -1/4 binary64)))))) (neg.f64 (log.f64 (*.f64 f (fma.f64 (*.f64 f f) (fma.f64 (*.f64 f f) (*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (sqrt.f64 (PI.f64))) (*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (sqrt.f64 (PI.f64))) #s(literal 1/61440 binary64))) (*.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/192 binary64)))) (*.f64 (PI.f64) #s(literal 1/2 binary64)))))))
(+.f64 #s(literal 0 binary64) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 f (*.f64 (PI.f64) #s(literal 1/4 binary64)))) (exp.f64 (*.f64 f (*.f64 (PI.f64) #s(literal -1/4 binary64))))) (*.f64 f (fma.f64 (*.f64 f f) (fma.f64 (*.f64 f f) (*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (sqrt.f64 (PI.f64))) (*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (sqrt.f64 (PI.f64))) #s(literal 1/61440 binary64))) (*.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/192 binary64)))) (*.f64 (PI.f64) #s(literal 1/2 binary64)))))))
(+.f64 (log.f64 (neg.f64 (+.f64 (exp.f64 (*.f64 f (*.f64 (PI.f64) #s(literal 1/4 binary64)))) (exp.f64 (*.f64 f (*.f64 (PI.f64) #s(literal -1/4 binary64))))))) (log.f64 (/.f64 #s(literal 1 binary64) (neg.f64 (*.f64 f (fma.f64 (*.f64 f f) (fma.f64 (*.f64 f f) (*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (sqrt.f64 (PI.f64))) (*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (sqrt.f64 (PI.f64))) #s(literal 1/61440 binary64))) (*.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/192 binary64)))) (*.f64 (PI.f64) #s(literal 1/2 binary64))))))))
(+.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 f (*.f64 (PI.f64) #s(literal 1/4 binary64)))) (exp.f64 (*.f64 f (*.f64 (PI.f64) #s(literal -1/4 binary64))))) f)) (log.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 f f) (fma.f64 (*.f64 f f) (*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (sqrt.f64 (PI.f64))) (*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (sqrt.f64 (PI.f64))) #s(literal 1/61440 binary64))) (*.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/192 binary64)))) (*.f64 (PI.f64) #s(literal 1/2 binary64))))))
(+.f64 (neg.f64 (log.f64 (*.f64 f (fma.f64 (*.f64 f f) (fma.f64 (*.f64 f f) (*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (sqrt.f64 (PI.f64))) (*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (sqrt.f64 (PI.f64))) #s(literal 1/61440 binary64))) (*.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/192 binary64)))) (*.f64 (PI.f64) #s(literal 1/2 binary64)))))) (log.f64 (+.f64 (exp.f64 (*.f64 f (*.f64 (PI.f64) #s(literal 1/4 binary64)))) (exp.f64 (*.f64 f (*.f64 (PI.f64) #s(literal -1/4 binary64)))))))
(+.f64 (log.f64 (/.f64 (/.f64 (+.f64 (exp.f64 (*.f64 f (*.f64 (PI.f64) #s(literal 1/4 binary64)))) (exp.f64 (*.f64 f (*.f64 (PI.f64) #s(literal -1/4 binary64))))) f) (fma.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/8 binary64) (pow.f64 (*.f64 (*.f64 f f) (fma.f64 (*.f64 f f) (*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (sqrt.f64 (PI.f64))) (*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (sqrt.f64 (PI.f64))) #s(literal 1/61440 binary64))) (*.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/192 binary64))))) #s(literal 3 binary64))))) (log.f64 (fma.f64 f (*.f64 (*.f64 f (fma.f64 (*.f64 f f) (*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (sqrt.f64 (PI.f64))) (*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (sqrt.f64 (PI.f64))) #s(literal 1/61440 binary64))) (*.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/192 binary64))))) (*.f64 (*.f64 f f) (fma.f64 (*.f64 f f) (*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (sqrt.f64 (PI.f64))) (*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (sqrt.f64 (PI.f64))) #s(literal 1/61440 binary64))) (*.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/192 binary64)))))) (*.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (*.f64 f f) (fma.f64 (*.f64 f f) (*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (sqrt.f64 (PI.f64))) (*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (sqrt.f64 (PI.f64))) #s(literal 1/61440 binary64))) (*.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/192 binary64))))))))))
(+.f64 (log.f64 (/.f64 (/.f64 (+.f64 (exp.f64 (*.f64 f (*.f64 (PI.f64) #s(literal 1/4 binary64)))) (exp.f64 (*.f64 f (*.f64 (PI.f64) #s(literal -1/4 binary64))))) f) (*.f64 (fma.f64 (*.f64 f f) (fma.f64 (*.f64 f f) (*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (sqrt.f64 (PI.f64))) (*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (sqrt.f64 (PI.f64))) #s(literal 1/61440 binary64))) (*.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/192 binary64)))) (*.f64 (PI.f64) #s(literal 1/2 binary64))) (fma.f64 (*.f64 f f) (fma.f64 (*.f64 f f) (*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (sqrt.f64 (PI.f64))) (*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (sqrt.f64 (PI.f64))) #s(literal 1/61440 binary64))) (*.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/192 binary64)))) (*.f64 #s(literal -1/2 binary64) (PI.f64)))))) (log.f64 (fma.f64 (*.f64 f f) (fma.f64 (*.f64 f f) (*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (sqrt.f64 (PI.f64))) (*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (sqrt.f64 (PI.f64))) #s(literal 1/61440 binary64))) (*.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/192 binary64)))) (*.f64 #s(literal -1/2 binary64) (PI.f64)))))
(-.f64 (log.f64 (+.f64 (exp.f64 (*.f64 f (*.f64 (PI.f64) #s(literal 1/4 binary64)))) (exp.f64 (*.f64 f (*.f64 (PI.f64) #s(literal -1/4 binary64)))))) (log.f64 (*.f64 f (fma.f64 (*.f64 f f) (fma.f64 (*.f64 f f) (*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (sqrt.f64 (PI.f64))) (*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (sqrt.f64 (PI.f64))) #s(literal 1/61440 binary64))) (*.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/192 binary64)))) (*.f64 (PI.f64) #s(literal 1/2 binary64))))))
(-.f64 #s(literal 0 binary64) (log.f64 (/.f64 (*.f64 f (fma.f64 (*.f64 f f) (fma.f64 (*.f64 f f) (*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (sqrt.f64 (PI.f64))) (*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (sqrt.f64 (PI.f64))) #s(literal 1/61440 binary64))) (*.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/192 binary64)))) (*.f64 (PI.f64) #s(literal 1/2 binary64)))) (+.f64 (exp.f64 (*.f64 f (*.f64 (PI.f64) #s(literal 1/4 binary64)))) (exp.f64 (*.f64 f (*.f64 (PI.f64) #s(literal -1/4 binary64))))))))
(-.f64 #s(literal 0 binary64) (log.f64 (/.f64 (/.f64 (*.f64 f (fma.f64 (*.f64 f f) (fma.f64 (*.f64 f f) (*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (sqrt.f64 (PI.f64))) (*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (sqrt.f64 (PI.f64))) #s(literal 1/61440 binary64))) (*.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/192 binary64)))) (*.f64 (PI.f64) #s(literal 1/2 binary64)))) (+.f64 (exp.f64 (*.f64 f (*.f64 (PI.f64) #s(literal 1/4 binary64)))) (exp.f64 (*.f64 f (*.f64 (PI.f64) #s(literal -1/4 binary64)))))) #s(literal 1 binary64))))
(-.f64 #s(literal 0 binary64) (log.f64 (/.f64 (fma.f64 (*.f64 f f) (fma.f64 (*.f64 f f) (*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (sqrt.f64 (PI.f64))) (*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (sqrt.f64 (PI.f64))) #s(literal 1/61440 binary64))) (*.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/192 binary64)))) (*.f64 (PI.f64) #s(literal 1/2 binary64))) (/.f64 (+.f64 (exp.f64 (*.f64 f (*.f64 (PI.f64) #s(literal 1/4 binary64)))) (exp.f64 (*.f64 f (*.f64 (PI.f64) #s(literal -1/4 binary64))))) f))))
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(/.f64 (*.f64 (*.f64 (PI.f64) (*.f64 f f)) (fma.f64 (*.f64 f f) (*.f64 (*.f64 #s(literal -1/1152 binary64) (*.f64 (PI.f64) (PI.f64))) (*.f64 (*.f64 f f) (*.f64 #s(literal -1/1152 binary64) (*.f64 (PI.f64) (PI.f64))))) #s(literal -1/144 binary64))) (fma.f64 (*.f64 f f) (*.f64 #s(literal -1/1152 binary64) (*.f64 (PI.f64) (PI.f64))) #s(literal -1/12 binary64)))
(*.f64 (PI.f64) (*.f64 (*.f64 f f) (fma.f64 (*.f64 f f) (*.f64 #s(literal -1/1152 binary64) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/12 binary64))))
(*.f64 (PI.f64) (*.f64 (fma.f64 (*.f64 f f) (*.f64 #s(literal -1/1152 binary64) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/12 binary64)) (*.f64 f f)))
(*.f64 f (*.f64 (*.f64 (PI.f64) f) (fma.f64 (*.f64 f f) (*.f64 #s(literal -1/1152 binary64) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/12 binary64))))
(*.f64 (*.f64 f f) (*.f64 (PI.f64) (fma.f64 (*.f64 f f) (*.f64 #s(literal -1/1152 binary64) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/12 binary64))))
(*.f64 (*.f64 (PI.f64) (*.f64 f f)) (fma.f64 (*.f64 f f) (*.f64 #s(literal -1/1152 binary64) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/12 binary64)))
(*.f64 (fma.f64 (*.f64 f f) (*.f64 #s(literal -1/1152 binary64) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/12 binary64)) (*.f64 (PI.f64) (*.f64 f f)))
(*.f64 (*.f64 (PI.f64) (fma.f64 (*.f64 f f) (*.f64 #s(literal -1/1152 binary64) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/12 binary64))) (*.f64 f f))
(*.f64 (*.f64 (PI.f64) f) (*.f64 f (fma.f64 (*.f64 f f) (*.f64 #s(literal -1/1152 binary64) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/12 binary64))))
(*.f64 (*.f64 (*.f64 (PI.f64) f) (fma.f64 (*.f64 f f) (*.f64 #s(literal -1/1152 binary64) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/12 binary64))) f)
(*.f64 (*.f64 (*.f64 f f) (fma.f64 (*.f64 f f) (*.f64 #s(literal -1/1152 binary64) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/12 binary64))) (PI.f64))

eval79.0ms (0.5%)

Memory
-3.5MiB live, 72.8MiB allocated
Compiler

Compiled 8 361 to 294 computations (96.5% saved)

prune28.0ms (0.2%)

Memory
-22.4MiB live, 54.5MiB allocated
Pruning

15 alts after pruning (10 fresh and 5 done)

PrunedKeptTotal
New3297336
Fresh134
Picked235
Done224
Total33415349
Accuracy
98.3%
Counts
349 → 15
Alt Table
Click to see full alt table
StatusAccuracyProgram
4.3%
(*.f64 (PI.f64) (*.f64 f (*.f64 f #s(literal -1/12 binary64))))
97.0%
(neg.f64 (fma.f64 (+.f64 (log.f64 f) (log.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)))) (/.f64 #s(literal -4 binary64) (PI.f64)) (*.f64 f (*.f64 f (*.f64 (PI.f64) #s(literal 1/12 binary64))))))
97.1%
(neg.f64 (fma.f64 #s(literal 4 binary64) (/.f64 (-.f64 (neg.f64 (log.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)))) (log.f64 f)) (PI.f64)) (*.f64 (*.f64 f f) (*.f64 (PI.f64) (fma.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (*.f64 f f) #s(literal -1/1152 binary64)) #s(literal 1/12 binary64))))))
✓96.8%
(neg.f64 (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (neg.f64 (log.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)))) (log.f64 f))) (PI.f64)))
✓97.0%
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (fma.f64 f (*.f64 (PI.f64) (*.f64 #s(literal 1/12 binary64) f)) (/.f64 #s(literal 4 binary64) (PI.f64))) f))))
50.0%
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (*.f64 f (fma.f64 (PI.f64) #s(literal 1/12 binary64) (/.f64 #s(literal 4 binary64) (*.f64 (PI.f64) (*.f64 f f))))))))
1.6%
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (*.f64 f (*.f64 (PI.f64) #s(literal 1/12 binary64))))))
96.7%
(neg.f64 (*.f64 (+.f64 (log.f64 f) (log.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)))) (/.f64 #s(literal -4 binary64) (PI.f64))))
✓7.5%
(neg.f64 (*.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))) (exp.f64 (*.f64 f (*.f64 (PI.f64) #s(literal -1/4 binary64))))) (-.f64 (exp.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))) (exp.f64 (*.f64 f (*.f64 (PI.f64) #s(literal -1/4 binary64))))))) (/.f64 #s(literal 4 binary64) (PI.f64))))
✓97.2%
(neg.f64 (*.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))) (exp.f64 (*.f64 f (*.f64 (PI.f64) #s(literal -1/4 binary64))))) (*.f64 f (fma.f64 (*.f64 f f) (fma.f64 (*.f64 f f) (*.f64 (pow.f64 (PI.f64) #s(literal 5 binary64)) #s(literal 1/61440 binary64)) (*.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/192 binary64)))) (*.f64 (PI.f64) #s(literal 1/2 binary64)))))) (/.f64 #s(literal 4 binary64) (PI.f64))))
97.0%
(neg.f64 (*.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))) (exp.f64 (*.f64 f (*.f64 (PI.f64) #s(literal -1/4 binary64))))) (*.f64 f (fma.f64 (*.f64 f f) (*.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/192 binary64))) (*.f64 (PI.f64) #s(literal 1/2 binary64)))))) (/.f64 #s(literal 4 binary64) (PI.f64))))
96.7%
(neg.f64 (*.f64 (log.f64 (/.f64 #s(literal 4 binary64) (*.f64 (PI.f64) f))) (/.f64 #s(literal 4 binary64) (PI.f64))))
✓4.3%
(neg.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/12 binary64) (*.f64 f f))))
49.0%
(neg.f64 (*.f64 f (*.f64 f (fma.f64 (+.f64 (log.f64 f) (log.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)))) (/.f64 #s(literal -4 binary64) (*.f64 (PI.f64) (*.f64 f f))) (*.f64 (PI.f64) #s(literal 1/12 binary64))))))
4.3%
(neg.f64 (*.f64 f (*.f64 f (*.f64 (PI.f64) #s(literal 1/12 binary64)))))
Compiler

Compiled 964 to 412 computations (57.3% saved)

regimes278.0ms (1.7%)

Memory
-110.1MiB live, 96.9MiB allocated
Counts
28 → 1
Calls
Call 1
Inputs
(*.f64 (PI.f64) (*.f64 f (*.f64 f #s(literal -1/12 binary64))))
(neg.f64 (*.f64 f (*.f64 f (*.f64 (PI.f64) #s(literal 1/12 binary64)))))
(neg.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/12 binary64) (*.f64 f f))))
(neg.f64 (*.f64 (log.f64 (/.f64 #s(literal 4 binary64) (*.f64 (PI.f64) f))) (/.f64 #s(literal 4 binary64) (PI.f64))))
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (*.f64 f (*.f64 (PI.f64) #s(literal 1/12 binary64))))))
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 #s(literal 4 binary64) (*.f64 (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 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 f (fma.f64 (PI.f64) #s(literal 1/12 binary64) (/.f64 #s(literal 4 binary64) (*.f64 (PI.f64) (*.f64 f f))))))))
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (fma.f64 f (*.f64 (PI.f64) (*.f64 #s(literal 1/12 binary64) 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 (PI.f64) #s(literal 1/48 binary64)) #s(literal -2 binary64) (*.f64 (PI.f64) #s(literal 1/8 binary64)))) (/.f64 #s(literal 4 binary64) (PI.f64))) f))))
(neg.f64 (*.f64 (+.f64 (log.f64 f) (log.f64 (*.f64 (PI.f64) #s(literal 1/12 binary64)))) (/.f64 #s(literal 4 binary64) (PI.f64))))
(neg.f64 (*.f64 (+.f64 (log.f64 f) (log.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)))) (/.f64 #s(literal -4 binary64) (PI.f64))))
(neg.f64 (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (neg.f64 (log.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)))) (log.f64 f))) (PI.f64)))
(neg.f64 (fma.f64 (+.f64 (log.f64 f) (log.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)))) (/.f64 #s(literal -4 binary64) (PI.f64)) (*.f64 f (*.f64 f (*.f64 (PI.f64) #s(literal 1/12 binary64))))))
(neg.f64 (fma.f64 (-.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (log.f64 f)) (/.f64 #s(literal 4 binary64) (PI.f64)) (*.f64 (PI.f64) (*.f64 #s(literal 1/12 binary64) (*.f64 f f)))))
(neg.f64 (*.f64 f (*.f64 f (fma.f64 (+.f64 (log.f64 f) (log.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)))) (/.f64 #s(literal -4 binary64) (*.f64 (PI.f64) (*.f64 f f))) (*.f64 (PI.f64) #s(literal 1/12 binary64))))))
(neg.f64 (*.f64 (*.f64 f f) (fma.f64 (-.f64 (neg.f64 (log.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)))) (log.f64 f)) (/.f64 #s(literal 4 binary64) (*.f64 (PI.f64) (*.f64 f f))) (*.f64 #s(literal 1/12 binary64) (PI.f64)))))
(neg.f64 (fma.f64 #s(literal 4 binary64) (/.f64 (-.f64 (neg.f64 (log.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)))) (log.f64 f)) (PI.f64)) (*.f64 (*.f64 f f) (*.f64 (PI.f64) (fma.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (*.f64 f f) #s(literal -1/1152 binary64)) #s(literal 1/12 binary64))))))
(neg.f64 (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) (*.f64 (PI.f64) (fma.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 #s(literal -1/1152 binary64) (*.f64 f f)) #s(literal 1/12 binary64))))))
(neg.f64 (fma.f64 #s(literal 4 binary64) (/.f64 (-.f64 (neg.f64 (log.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)))) (log.f64 f)) (PI.f64)) (*.f64 (*.f64 f f) (*.f64 (PI.f64) (fma.f64 (*.f64 (*.f64 f f) #s(literal -1/8 binary64)) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/144 binary64)) #s(literal 1/12 binary64))))))
(neg.f64 (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) (*.f64 (PI.f64) (fma.f64 (*.f64 (*.f64 f f) #s(literal -1/8 binary64)) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/144 binary64)) #s(literal 1/12 binary64))))))
(neg.f64 (fma.f64 (-.f64 (neg.f64 (log.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)))) (log.f64 f)) (/.f64 #s(literal 4 binary64) (PI.f64)) (*.f64 (*.f64 f f) (*.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (fma.f64 (*.f64 (PI.f64) #s(literal 1/48 binary64)) #s(literal -2 binary64) (*.f64 (PI.f64) #s(literal 1/8 binary64)))) (/.f64 #s(literal 2 binary64) (PI.f64))))))
(neg.f64 (*.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))) (exp.f64 (*.f64 f (*.f64 (PI.f64) #s(literal -1/4 binary64))))) (*.f64 f (fma.f64 (*.f64 f f) (*.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/192 binary64))) (*.f64 (PI.f64) #s(literal 1/2 binary64)))))) (/.f64 #s(literal 4 binary64) (PI.f64))))
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (*.f64 f (fma.f64 f (*.f64 f (*.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/192 binary64)))) (*.f64 (PI.f64) #s(literal 1/2 binary64))))))))
(neg.f64 (*.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))) (exp.f64 (*.f64 f (*.f64 (PI.f64) #s(literal -1/4 binary64))))) (*.f64 f (fma.f64 (*.f64 f f) (fma.f64 (*.f64 f f) (*.f64 (pow.f64 (PI.f64) #s(literal 5 binary64)) #s(literal 1/61440 binary64)) (*.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/192 binary64)))) (*.f64 (PI.f64) #s(literal 1/2 binary64)))))) (/.f64 #s(literal 4 binary64) (PI.f64))))
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (*.f64 f (fma.f64 (*.f64 f f) (fma.f64 f (*.f64 f (*.f64 (pow.f64 (PI.f64) #s(literal 5 binary64)) #s(literal 1/61440 binary64))) (*.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/192 binary64)))) (*.f64 (PI.f64) #s(literal 1/2 binary64))))))))
(neg.f64 (*.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))) (exp.f64 (*.f64 f (*.f64 (PI.f64) #s(literal -1/4 binary64))))) (-.f64 (exp.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))) (exp.f64 (*.f64 f (*.f64 (PI.f64) #s(literal -1/4 binary64))))))) (/.f64 #s(literal 4 binary64) (PI.f64))))
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))))))
Outputs
(neg.f64 (*.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))) (exp.f64 (*.f64 f (*.f64 (PI.f64) #s(literal -1/4 binary64))))) (*.f64 f (fma.f64 (*.f64 f f) (fma.f64 (*.f64 f f) (*.f64 (pow.f64 (PI.f64) #s(literal 5 binary64)) #s(literal 1/61440 binary64)) (*.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/192 binary64)))) (*.f64 (PI.f64) #s(literal 1/2 binary64)))))) (/.f64 #s(literal 4 binary64) (PI.f64))))
Calls

6 calls:

240.0ms
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))))))
8.0ms
f
8.0ms
(*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)
8.0ms
(log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))))
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)))))))
Results
AccuracySegmentsBranch
97.2%1f
97.2%1(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))))))
97.2%1(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))))))
97.2%1(log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))))
97.2%1(/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))))
97.2%1(*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)
Compiler

Compiled 144 to 60 computations (58.3% saved)

regimes41.0ms (0.3%)

Memory
8.6MiB live, 90.1MiB allocated
Counts
24 → 1
Calls
Call 1
Inputs
(*.f64 (PI.f64) (*.f64 f (*.f64 f #s(literal -1/12 binary64))))
(neg.f64 (*.f64 f (*.f64 f (*.f64 (PI.f64) #s(literal 1/12 binary64)))))
(neg.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/12 binary64) (*.f64 f f))))
(neg.f64 (*.f64 (log.f64 (/.f64 #s(literal 4 binary64) (*.f64 (PI.f64) f))) (/.f64 #s(literal 4 binary64) (PI.f64))))
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (*.f64 f (*.f64 (PI.f64) #s(literal 1/12 binary64))))))
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 #s(literal 4 binary64) (*.f64 (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 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 f (fma.f64 (PI.f64) #s(literal 1/12 binary64) (/.f64 #s(literal 4 binary64) (*.f64 (PI.f64) (*.f64 f f))))))))
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (fma.f64 f (*.f64 (PI.f64) (*.f64 #s(literal 1/12 binary64) 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 (PI.f64) #s(literal 1/48 binary64)) #s(literal -2 binary64) (*.f64 (PI.f64) #s(literal 1/8 binary64)))) (/.f64 #s(literal 4 binary64) (PI.f64))) f))))
(neg.f64 (*.f64 (+.f64 (log.f64 f) (log.f64 (*.f64 (PI.f64) #s(literal 1/12 binary64)))) (/.f64 #s(literal 4 binary64) (PI.f64))))
(neg.f64 (*.f64 (+.f64 (log.f64 f) (log.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)))) (/.f64 #s(literal -4 binary64) (PI.f64))))
(neg.f64 (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (neg.f64 (log.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)))) (log.f64 f))) (PI.f64)))
(neg.f64 (fma.f64 (+.f64 (log.f64 f) (log.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)))) (/.f64 #s(literal -4 binary64) (PI.f64)) (*.f64 f (*.f64 f (*.f64 (PI.f64) #s(literal 1/12 binary64))))))
(neg.f64 (fma.f64 (-.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (log.f64 f)) (/.f64 #s(literal 4 binary64) (PI.f64)) (*.f64 (PI.f64) (*.f64 #s(literal 1/12 binary64) (*.f64 f f)))))
(neg.f64 (*.f64 f (*.f64 f (fma.f64 (+.f64 (log.f64 f) (log.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)))) (/.f64 #s(literal -4 binary64) (*.f64 (PI.f64) (*.f64 f f))) (*.f64 (PI.f64) #s(literal 1/12 binary64))))))
(neg.f64 (*.f64 (*.f64 f f) (fma.f64 (-.f64 (neg.f64 (log.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)))) (log.f64 f)) (/.f64 #s(literal 4 binary64) (*.f64 (PI.f64) (*.f64 f f))) (*.f64 #s(literal 1/12 binary64) (PI.f64)))))
(neg.f64 (fma.f64 #s(literal 4 binary64) (/.f64 (-.f64 (neg.f64 (log.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)))) (log.f64 f)) (PI.f64)) (*.f64 (*.f64 f f) (*.f64 (PI.f64) (fma.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (*.f64 f f) #s(literal -1/1152 binary64)) #s(literal 1/12 binary64))))))
(neg.f64 (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) (*.f64 (PI.f64) (fma.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 #s(literal -1/1152 binary64) (*.f64 f f)) #s(literal 1/12 binary64))))))
(neg.f64 (fma.f64 #s(literal 4 binary64) (/.f64 (-.f64 (neg.f64 (log.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)))) (log.f64 f)) (PI.f64)) (*.f64 (*.f64 f f) (*.f64 (PI.f64) (fma.f64 (*.f64 (*.f64 f f) #s(literal -1/8 binary64)) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/144 binary64)) #s(literal 1/12 binary64))))))
(neg.f64 (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) (*.f64 (PI.f64) (fma.f64 (*.f64 (*.f64 f f) #s(literal -1/8 binary64)) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/144 binary64)) #s(literal 1/12 binary64))))))
(neg.f64 (fma.f64 (-.f64 (neg.f64 (log.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)))) (log.f64 f)) (/.f64 #s(literal 4 binary64) (PI.f64)) (*.f64 (*.f64 f f) (*.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (fma.f64 (*.f64 (PI.f64) #s(literal 1/48 binary64)) #s(literal -2 binary64) (*.f64 (PI.f64) #s(literal 1/8 binary64)))) (/.f64 #s(literal 2 binary64) (PI.f64))))))
(neg.f64 (*.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))) (exp.f64 (*.f64 f (*.f64 (PI.f64) #s(literal -1/4 binary64))))) (*.f64 f (fma.f64 (*.f64 f f) (*.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/192 binary64))) (*.f64 (PI.f64) #s(literal 1/2 binary64)))))) (/.f64 #s(literal 4 binary64) (PI.f64))))
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (*.f64 f (fma.f64 f (*.f64 f (*.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/192 binary64)))) (*.f64 (PI.f64) #s(literal 1/2 binary64))))))))
Outputs
(neg.f64 (fma.f64 #s(literal 4 binary64) (/.f64 (-.f64 (neg.f64 (log.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)))) (log.f64 f)) (PI.f64)) (*.f64 (*.f64 f f) (*.f64 (PI.f64) (fma.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (*.f64 f f) #s(literal -1/1152 binary64)) #s(literal 1/12 binary64))))))
Calls

6 calls:

8.0ms
(/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))))
7.0ms
(*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)
7.0ms
f
7.0ms
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))))))
6.0ms
(log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))))
Results
AccuracySegmentsBranch
97.1%1f
97.1%1(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))))))
97.1%1(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))))))
97.1%1(log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))))
97.1%1(/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))))
97.1%1(*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)
Compiler

Compiled 144 to 60 computations (58.3% saved)

regimes35.0ms (0.2%)

Memory
-10.9MiB live, 68.8MiB allocated
Counts
17 → 1
Calls
Call 1
Inputs
(*.f64 (PI.f64) (*.f64 f (*.f64 f #s(literal -1/12 binary64))))
(neg.f64 (*.f64 f (*.f64 f (*.f64 (PI.f64) #s(literal 1/12 binary64)))))
(neg.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/12 binary64) (*.f64 f f))))
(neg.f64 (*.f64 (log.f64 (/.f64 #s(literal 4 binary64) (*.f64 (PI.f64) f))) (/.f64 #s(literal 4 binary64) (PI.f64))))
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (*.f64 f (*.f64 (PI.f64) #s(literal 1/12 binary64))))))
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 #s(literal 4 binary64) (*.f64 (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 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 f (fma.f64 (PI.f64) #s(literal 1/12 binary64) (/.f64 #s(literal 4 binary64) (*.f64 (PI.f64) (*.f64 f f))))))))
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (fma.f64 f (*.f64 (PI.f64) (*.f64 #s(literal 1/12 binary64) 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 (PI.f64) #s(literal 1/48 binary64)) #s(literal -2 binary64) (*.f64 (PI.f64) #s(literal 1/8 binary64)))) (/.f64 #s(literal 4 binary64) (PI.f64))) f))))
(neg.f64 (*.f64 (+.f64 (log.f64 f) (log.f64 (*.f64 (PI.f64) #s(literal 1/12 binary64)))) (/.f64 #s(literal 4 binary64) (PI.f64))))
(neg.f64 (*.f64 (+.f64 (log.f64 f) (log.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)))) (/.f64 #s(literal -4 binary64) (PI.f64))))
(neg.f64 (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (neg.f64 (log.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)))) (log.f64 f))) (PI.f64)))
(neg.f64 (fma.f64 (+.f64 (log.f64 f) (log.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)))) (/.f64 #s(literal -4 binary64) (PI.f64)) (*.f64 f (*.f64 f (*.f64 (PI.f64) #s(literal 1/12 binary64))))))
(neg.f64 (fma.f64 (-.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (log.f64 f)) (/.f64 #s(literal 4 binary64) (PI.f64)) (*.f64 (PI.f64) (*.f64 #s(literal 1/12 binary64) (*.f64 f f)))))
(neg.f64 (*.f64 f (*.f64 f (fma.f64 (+.f64 (log.f64 f) (log.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)))) (/.f64 #s(literal -4 binary64) (*.f64 (PI.f64) (*.f64 f f))) (*.f64 (PI.f64) #s(literal 1/12 binary64))))))
(neg.f64 (*.f64 (*.f64 f f) (fma.f64 (-.f64 (neg.f64 (log.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)))) (log.f64 f)) (/.f64 #s(literal 4 binary64) (*.f64 (PI.f64) (*.f64 f f))) (*.f64 #s(literal 1/12 binary64) (PI.f64)))))
Outputs
(neg.f64 (fma.f64 (+.f64 (log.f64 f) (log.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)))) (/.f64 #s(literal -4 binary64) (PI.f64)) (*.f64 f (*.f64 f (*.f64 (PI.f64) #s(literal 1/12 binary64))))))
Calls

6 calls:

8.0ms
(log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))))
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))))))))
5.0ms
(*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)
5.0ms
f
4.0ms
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))))))
Results
AccuracySegmentsBranch
97.0%1f
97.0%1(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))))))
97.0%1(*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)
97.0%1(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))))))
97.0%1(log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))))
97.0%1(/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))))
Compiler

Compiled 144 to 60 computations (58.3% saved)

regimes24.0ms (0.1%)

Memory
19.8MiB live, 59.5MiB allocated
Counts
13 → 1
Calls
Call 1
Inputs
(*.f64 (PI.f64) (*.f64 f (*.f64 f #s(literal -1/12 binary64))))
(neg.f64 (*.f64 f (*.f64 f (*.f64 (PI.f64) #s(literal 1/12 binary64)))))
(neg.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/12 binary64) (*.f64 f f))))
(neg.f64 (*.f64 (log.f64 (/.f64 #s(literal 4 binary64) (*.f64 (PI.f64) f))) (/.f64 #s(literal 4 binary64) (PI.f64))))
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (*.f64 f (*.f64 (PI.f64) #s(literal 1/12 binary64))))))
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 #s(literal 4 binary64) (*.f64 (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 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 f (fma.f64 (PI.f64) #s(literal 1/12 binary64) (/.f64 #s(literal 4 binary64) (*.f64 (PI.f64) (*.f64 f f))))))))
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (fma.f64 f (*.f64 (PI.f64) (*.f64 #s(literal 1/12 binary64) 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 (PI.f64) #s(literal 1/48 binary64)) #s(literal -2 binary64) (*.f64 (PI.f64) #s(literal 1/8 binary64)))) (/.f64 #s(literal 4 binary64) (PI.f64))) f))))
(neg.f64 (*.f64 (+.f64 (log.f64 f) (log.f64 (*.f64 (PI.f64) #s(literal 1/12 binary64)))) (/.f64 #s(literal 4 binary64) (PI.f64))))
(neg.f64 (*.f64 (+.f64 (log.f64 f) (log.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)))) (/.f64 #s(literal -4 binary64) (PI.f64))))
(neg.f64 (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (neg.f64 (log.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)))) (log.f64 f))) (PI.f64)))
Outputs
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (fma.f64 f (*.f64 (PI.f64) (*.f64 #s(literal 1/12 binary64) f)) (/.f64 #s(literal 4 binary64) (PI.f64))) f))))
Calls

6 calls:

4.0ms
(*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)
4.0ms
f
3.0ms
(log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))))
3.0ms
(*.f64 (/.f64 #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
97.0%1f
97.0%1(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))))))
97.0%1(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))))))
97.0%1(log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))))
97.0%1(/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))))
97.0%1(*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)
Compiler

Compiled 144 to 60 computations (58.3% saved)

regimes18.0ms (0.1%)

Memory
-31.7MiB live, 47.5MiB allocated
Counts
8 → 1
Calls
Call 1
Inputs
(*.f64 (PI.f64) (*.f64 f (*.f64 f #s(literal -1/12 binary64))))
(neg.f64 (*.f64 f (*.f64 f (*.f64 (PI.f64) #s(literal 1/12 binary64)))))
(neg.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/12 binary64) (*.f64 f f))))
(neg.f64 (*.f64 (log.f64 (/.f64 #s(literal 4 binary64) (*.f64 (PI.f64) f))) (/.f64 #s(literal 4 binary64) (PI.f64))))
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (*.f64 f (*.f64 (PI.f64) #s(literal 1/12 binary64))))))
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 #s(literal 4 binary64) (*.f64 (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 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 f (fma.f64 (PI.f64) #s(literal 1/12 binary64) (/.f64 #s(literal 4 binary64) (*.f64 (PI.f64) (*.f64 f f))))))))
Outputs
(neg.f64 (*.f64 (log.f64 (/.f64 #s(literal 4 binary64) (*.f64 (PI.f64) f))) (/.f64 #s(literal 4 binary64) (PI.f64))))
Calls

6 calls:

4.0ms
f
3.0ms
(*.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)))))
3.0ms
(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))))))))
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)))))))
Results
AccuracySegmentsBranch
96.7%1f
96.7%1(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))))))
96.7%1(*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)
96.7%1(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))))))
96.7%1(log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))))
96.7%1(/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))))
Compiler

Compiled 144 to 60 computations (58.3% saved)

regimes11.0ms (0.1%)

Memory
31.7MiB live, 31.7MiB allocated
Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts
3 → 1
Calls
Call 1
Inputs
(*.f64 (PI.f64) (*.f64 f (*.f64 f #s(literal -1/12 binary64))))
(neg.f64 (*.f64 f (*.f64 f (*.f64 (PI.f64) #s(literal 1/12 binary64)))))
(neg.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/12 binary64) (*.f64 f f))))
Outputs
(*.f64 (PI.f64) (*.f64 f (*.f64 f #s(literal -1/12 binary64))))
Calls

6 calls:

2.0ms
f
2.0ms
(*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)
2.0ms
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))))))
2.0ms
(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
4.3%1f
4.3%1(*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)
4.3%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))))))))
4.3%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)))))))
4.3%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))))))
4.3%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)))))
Compiler

Compiled 144 to 60 computations (58.3% saved)

simplify15.0ms (0.1%)

Memory
-10.8MiB live, 29.6MiB allocated
Algorithm
1×egg-herbie
Rules
104×neg-mul-1_binary64
86×*-commutative_binary64
78×unsub-neg_binary64
46×distribute-lft-neg-in_binary64
46×distribute-rgt-neg-in_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
072131
1127131
2170131
3203130
4224130
5299130
6407130
7409130
Stop Event
1×saturated
Calls
Call 1
Inputs
(neg.f64 (*.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))) (exp.f64 (*.f64 f (*.f64 (PI.f64) #s(literal -1/4 binary64))))) (*.f64 f (fma.f64 (*.f64 f f) (fma.f64 (*.f64 f f) (*.f64 (pow.f64 (PI.f64) #s(literal 5 binary64)) #s(literal 1/61440 binary64)) (*.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/192 binary64)))) (*.f64 (PI.f64) #s(literal 1/2 binary64)))))) (/.f64 #s(literal 4 binary64) (PI.f64))))
(neg.f64 (fma.f64 #s(literal 4 binary64) (/.f64 (-.f64 (neg.f64 (log.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)))) (log.f64 f)) (PI.f64)) (*.f64 (*.f64 f f) (*.f64 (PI.f64) (fma.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (*.f64 f f) #s(literal -1/1152 binary64)) #s(literal 1/12 binary64))))))
(neg.f64 (fma.f64 (+.f64 (log.f64 f) (log.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)))) (/.f64 #s(literal -4 binary64) (PI.f64)) (*.f64 f (*.f64 f (*.f64 (PI.f64) #s(literal 1/12 binary64))))))
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (fma.f64 f (*.f64 (PI.f64) (*.f64 #s(literal 1/12 binary64) f)) (/.f64 #s(literal 4 binary64) (PI.f64))) f))))
(neg.f64 (*.f64 (log.f64 (/.f64 #s(literal 4 binary64) (*.f64 (PI.f64) f))) (/.f64 #s(literal 4 binary64) (PI.f64))))
(*.f64 (PI.f64) (*.f64 f (*.f64 f #s(literal -1/12 binary64))))
Outputs
(neg.f64 (*.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))) (exp.f64 (*.f64 f (*.f64 (PI.f64) #s(literal -1/4 binary64))))) (*.f64 f (fma.f64 (*.f64 f f) (fma.f64 (*.f64 f f) (*.f64 (pow.f64 (PI.f64) #s(literal 5 binary64)) #s(literal 1/61440 binary64)) (*.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/192 binary64)))) (*.f64 (PI.f64) #s(literal 1/2 binary64)))))) (/.f64 #s(literal 4 binary64) (PI.f64))))
(*.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))) (exp.f64 (*.f64 f (*.f64 (PI.f64) #s(literal -1/4 binary64))))) (*.f64 f (fma.f64 (*.f64 f f) (fma.f64 (*.f64 f f) (*.f64 (pow.f64 (PI.f64) #s(literal 5 binary64)) #s(literal 1/61440 binary64)) (*.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/192 binary64)))) (*.f64 (PI.f64) #s(literal 1/2 binary64)))))) (neg.f64 (/.f64 #s(literal 4 binary64) (PI.f64))))
(neg.f64 (fma.f64 #s(literal 4 binary64) (/.f64 (-.f64 (neg.f64 (log.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)))) (log.f64 f)) (PI.f64)) (*.f64 (*.f64 f f) (*.f64 (PI.f64) (fma.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (*.f64 f f) #s(literal -1/1152 binary64)) #s(literal 1/12 binary64))))))
(neg.f64 (fma.f64 #s(literal 4 binary64) (/.f64 (-.f64 (neg.f64 (log.f64 f)) (log.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)))) (PI.f64)) (*.f64 (*.f64 f f) (*.f64 (PI.f64) (fma.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (*.f64 f f) #s(literal -1/1152 binary64)) #s(literal 1/12 binary64))))))
(neg.f64 (fma.f64 (+.f64 (log.f64 f) (log.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)))) (/.f64 #s(literal -4 binary64) (PI.f64)) (*.f64 f (*.f64 f (*.f64 (PI.f64) #s(literal 1/12 binary64))))))
(neg.f64 (fma.f64 (+.f64 (log.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64))) (log.f64 f)) (/.f64 #s(literal -4 binary64) (PI.f64)) (*.f64 f (*.f64 f (*.f64 (PI.f64) #s(literal 1/12 binary64))))))
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (fma.f64 f (*.f64 (PI.f64) (*.f64 #s(literal 1/12 binary64) f)) (/.f64 #s(literal 4 binary64) (PI.f64))) f))))
(*.f64 (log.f64 (/.f64 (fma.f64 f (*.f64 (PI.f64) (*.f64 f #s(literal 1/12 binary64))) (/.f64 #s(literal 4 binary64) (PI.f64))) f)) (/.f64 #s(literal -1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))))
(neg.f64 (*.f64 (log.f64 (/.f64 #s(literal 4 binary64) (*.f64 (PI.f64) f))) (/.f64 #s(literal 4 binary64) (PI.f64))))
(*.f64 (log.f64 (/.f64 #s(literal 4 binary64) (*.f64 f (PI.f64)))) (neg.f64 (/.f64 #s(literal 4 binary64) (PI.f64))))
(*.f64 (PI.f64) (*.f64 f (*.f64 f #s(literal -1/12 binary64))))

soundness1.3s (7.8%)

Memory
-5.6MiB live, 869.8MiB allocated
Rules
18 420×lower-fma.f64
18 420×lower-fma.f32
12 332×lower-fma.f64
12 332×lower-fma.f32
7 576×lower-fma.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02232513
16192395
220582315
375352315
080142271
02732437
18092376
227272360
373662360
080242286
02561912
17711828
227361814
375171814
080411770
01541038
1432956
21551880
36248852
08249838
Stop Event
1×fuel
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
Compiler

Compiled 219 to 134 computations (38.8% saved)

preprocess96.0ms (0.6%)

Memory
-1.9MiB live, 198.0MiB allocated
Compiler

Compiled 338 to 170 computations (49.7% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

Loading profile data...