VandenBroeck and Keller, Equation (20)

Time bar (total: 14.4s)

start0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated

analyze220.0ms (1.5%)

Memory
25.5MiB live, 284.8MiB allocated
Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%100%0%0%0%0%0
0%0%100%0%0%0%0%1
0%0%100%0%0%0%0%2
0%0%75%0%0%25%0%3
0%0%62.5%0%0%37.5%0%4
0%0%56.2%0%0%43.7%0%5
0%0%53.1%0%0%46.9%0%6
3.1%1.6%48.4%0%0%50%0%7
4.8%2.3%46.1%0%0%51.5%0%8
5.6%2.7%45.7%0%0%51.5%0%9
6.5%3.1%45.1%0%0%51.7%0%10
6.9%3.3%44.8%0%0%51.8%0%11
6.9%3.3%44.8%0%0%51.9%0%12
Compiler

Compiled 39 to 18 computations (53.8% saved)

sample7.0s (48.7%)

Memory
96.9MiB live, 6 471.1MiB allocated
Samples
2.7s7 597×1valid
2.6s7 294×1invalid
200.0ms165×2valid
81.0ms494×0valid
1.0ms10×0invalid
0.0ms0exit
Precisions
Click to see histograms. Total time spent on operations: 5.0s
ival-exp: 1.4s (27.2% of total)
ival-div: 878.0ms (17.4% of total)
adjust: 771.0ms (15.3% of total)
ival-mult: 503.0ms (10% of total)
ival-log: 413.0ms (8.2% of total)
ival-sub: 388.0ms (7.7% of total)
ival-neg: 301.0ms (6% of total)
ival-pi: 224.0ms (4.4% of total)
ival-add: 152.0ms (3% of total)
exact: 16.0ms (0.3% of total)
ival-true: 12.0ms (0.2% of total)
ival-assert: 7.0ms (0.1% of total)
Bogosity

explain479.0ms (3.3%)

Memory
-2.0MiB live, 563.2MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
2530-1(0.010563203469457534)(-.f64 (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)))))
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))
03(54288.8778573259)0-(log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))))
00-0-#s(literal 1 binary64)
00-0-(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))))))
00-0-(/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64)))
00-0-#s(literal 4 binary64)
00-0-(+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))
00-0-(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))))))
00-0-f
00-0-(/.f64 (PI.f64) #s(literal 4 binary64))
00-0-(*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)
00-0-(neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))
00-0-(PI.f64)
Explanations
Click to see full explanations table
OperatorSubexpressionExplanationCount
-.f64(-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))cancellation2521
/.f64(/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (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
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))))))sensitivity30
Confusion
Predicted +Predicted -
+2550
-01
Precision
1.0
Recall
1.0
Confusion?
Predicted +Predicted MaybePredicted -
+25500
-010
Precision?
0.99609375
Recall?
1.0
Freqs
test
numberfreq
01
1252
23
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
245.0ms494×1valid
6.0ms2valid
2.0ms12×0valid
Compiler

Compiled 629 to 68 computations (89.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 221.0ms
ival-exp: 69.0ms (31.2% of total)
ival-log: 48.0ms (21.7% of total)
ival-neg: 46.0ms (20.8% of total)
ival-div: 18.0ms (8.1% of total)
ival-mult: 12.0ms (5.4% of total)
adjust: 11.0ms (5% of total)
ival-pi: 5.0ms (2.3% of total)
ival-sub: 5.0ms (2.3% of total)
ival-add: 5.0ms (2.3% of total)
ival-true: 1.0ms (0.5% of total)
exact: 1.0ms (0.5% of total)
ival-assert: 0.0ms (0% of total)

preprocess357.0ms (2.5%)

Memory
4.5MiB live, 202.1MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01881
15364
216364
346064
489364
5121964
6146064
7155764
8179564
9194764
10221952
11265350
12288450
13322950
14389250
15464150
16538950
17657650
18683950
19685150
20755550
01637
02937
15832
213332
327832
441032
551632
661132
774632
886632
9108332
10133632
11146832
12168032
13178132
14198932
15241332
16328932
17474825
18548025
19765925
0817122
Stop Event
iter limit
node limit
iter limit
node limit
Calls
Call 1
Inputs
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))))))
Outputs
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))))))
(*.f64 (/.f64 #s(literal -4 binary64) (PI.f64)) (log.f64 (-.f64 (/.f64 #s(literal -1 binary64) (expm1.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 f (PI.f64))))) (/.f64 #s(literal -1 binary64) (expm1.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 f (PI.f64))))))))
Compiler

Compiled 37 to 16 computations (56.8% saved)

eval0.0ms (0%)

Memory
0.2MiB live, 0.2MiB allocated
Compiler

Compiled 0 to 1 computations (-∞% saved)

prune1.0ms (0%)

Memory
1.1MiB live, 1.1MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
4.8%
(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 37 to 16 computations (56.8% saved)

simplify200.0ms (1.4%)

Memory
-0.9MiB live, 196.8MiB allocated
Algorithm
egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
cost-diff128
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))))))
cost-diff320
(/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64)))
cost-diff384
(/.f64 (PI.f64) #s(literal 4 binary64))
cost-diff38144
(/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
016196
029196
158177
2133177
3278177
4410177
5516177
6611177
7746177
8866177
91083177
101336177
111468177
121680177
131781177
141989177
152413177
163289177
174748149
185480149
197659149
08171137
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))))))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64)))
#s(literal 1 binary64)
(/.f64 (PI.f64) #s(literal 4 binary64))
(PI.f64)
#s(literal 4 binary64)
(log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))))
(/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))))
(+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))
(exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))
(*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)
f
(exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))
(neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))
(-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))
Outputs
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))))))
(*.f64 (/.f64 #s(literal -4 binary64) (PI.f64)) (log.f64 (-.f64 (/.f64 #s(literal -1 binary64) (expm1.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 f (PI.f64))))) (/.f64 #s(literal -1 binary64) (expm1.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 f (PI.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 #s(literal -1/2 binary64) (*.f64 f (PI.f64))))) (/.f64 #s(literal -1 binary64) (expm1.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 f (PI.f64))))))) (/.f64 #s(literal 4 binary64) (PI.f64)))
(/.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 #s(literal 1/4 binary64) (PI.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))))))
(log.f64 (-.f64 (/.f64 #s(literal -1 binary64) (expm1.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 f (PI.f64))))) (/.f64 #s(literal -1 binary64) (expm1.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 f (PI.f64)))))))
(/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.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 #s(literal -1/2 binary64) (*.f64 f (PI.f64))))) (/.f64 #s(literal -1 binary64) (expm1.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 f (PI.f64))))))
(+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))
(+.f64 (pow.f64 (exp.f64 #s(literal -1/4 binary64)) (*.f64 f (PI.f64))) (pow.f64 (exp.f64 #s(literal 1/4 binary64)) (*.f64 f (PI.f64))))
(exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))
(pow.f64 (exp.f64 #s(literal 1/4 binary64)) (*.f64 f (PI.f64)))
(*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)
(*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))
f
(exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))
(pow.f64 (exp.f64 #s(literal -1/4 binary64)) (*.f64 f (PI.f64)))
(neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))
(*.f64 #s(literal -1/4 binary64) (*.f64 f (PI.f64)))
(-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))
(-.f64 (pow.f64 (exp.f64 #s(literal 1/4 binary64)) (*.f64 f (PI.f64))) (pow.f64 (exp.f64 #s(literal -1/4 binary64)) (*.f64 f (PI.f64))))

localize126.0ms (0.9%)

Memory
26.0MiB live, 185.9MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0.26953125
(*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)
accuracy0.40625
(*.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)))))))
accuracy1.0312582531524757
(/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))))
accuracy58.826093380125386
(-.f64 (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
84.0ms247×1valid
4.0ms2valid
1.0ms0valid
Compiler

Compiled 394 to 34 computations (91.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 71.0ms
ival-mult: 20.0ms (28.3% of total)
ival-exp: 17.0ms (24% of total)
ival-div: 9.0ms (12.7% of total)
ival-log: 7.0ms (9.9% of total)
adjust: 6.0ms (8.5% of total)
ival-neg: 4.0ms (5.7% of total)
ival-pi: 2.0ms (2.8% of total)
ival-sub: 2.0ms (2.8% of total)
ival-add: 2.0ms (2.8% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series137.0ms (1%)

Memory
-25.8MiB live, 175.8MiB allocated
Counts
7 → 21
Calls
Call 1
Inputs
(/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))))
(/.f64 (PI.f64) #s(literal 4 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64)))
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))))))
(-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))))))
(*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)
Outputs
(/ 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)
(* -4 (/ (+ (log (/ 2 (- (* 1/4 (PI)) (* -1/4 (PI))))) (* -1 (log f))) (PI)))
(- (* -2 (/ (* f (* (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI)))))) (- (* 1/4 (PI)) (* -1/4 (PI))))) (PI))) (* 4 (/ (+ (log (/ 2 (- (* 1/4 (PI)) (* -1/4 (PI))))) (* -1 (log f))) (PI))))
(- (* f (- (* -2 (/ (* f (+ (* -1/4 (* (pow (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI)))))) 2) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 2))) (* (- (* 1/16 (/ (pow (PI) 2) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 2 (/ (- (* 1/384 (pow (PI) 3)) (* -1/384 (pow (PI) 3))) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 2)))) (- (* 1/4 (PI)) (* -1/4 (PI)))))) (PI))) (* 2 (/ (* (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI)))))) (- (* 1/4 (PI)) (* -1/4 (PI)))) (PI))))) (* 4 (/ (+ (log (/ 2 (- (* 1/4 (PI)) (* -1/4 (PI))))) (* -1 (log f))) (PI))))
(- (* f (- (* f (- (* -2/3 (/ (* f (+ (* -3/2 (* (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI)))))) (* (- (* 1/16 (/ (pow (PI) 2) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 2 (/ (- (* 1/384 (pow (PI) 3)) (* -1/384 (pow (PI) 3))) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 2)))) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 2)))) (+ (* 1/4 (* (pow (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI)))))) 3) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 3))) (* 3 (* (- (* 1/4 (PI)) (* -1/4 (PI))) (- (+ (* -1/384 (/ (pow (PI) 3) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/384 (/ (pow (PI) 3) (- (* 1/4 (PI)) (* -1/4 (PI)))))) (/ (* (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI)))))) (- (* 1/384 (pow (PI) 3)) (* -1/384 (pow (PI) 3)))) (- (* 1/4 (PI)) (* -1/4 (PI)))))))))) (PI))) (* 2 (/ (+ (* -1/4 (* (pow (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI)))))) 2) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 2))) (* (- (* 1/16 (/ (pow (PI) 2) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 2 (/ (- (* 1/384 (pow (PI) 3)) (* -1/384 (pow (PI) 3))) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 2)))) (- (* 1/4 (PI)) (* -1/4 (PI))))) (PI))))) (* 2 (/ (* (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI)))))) (- (* 1/4 (PI)) (* -1/4 (PI)))) (PI))))) (* 4 (/ (+ (log (/ 2 (- (* 1/4 (PI)) (* -1/4 (PI))))) (* -1 (log f))) (PI))))
(* 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))))
(* 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))))))))
(* 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 (/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI)))))))) (PI)))
(- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI))))))
(* 4 (/ (log (/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI)))))))) (PI)))
Calls

3 calls:

TimeVariablePointExpression
49.0ms
f
@inf
((/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/ (PI) 4) (/ 1 (/ (PI) 4)) (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))))) (* (/ (PI) 4) f))
44.0ms
f
@0
((/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/ (PI) 4) (/ 1 (/ (PI) 4)) (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))))) (* (/ (PI) 4) f))
43.0ms
f
@-inf
((/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/ (PI) 4) (/ 1 (/ (PI) 4)) (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))))) (* (/ (PI) 4) f))

simplify134.0ms (0.9%)

Memory
18.3MiB live, 173.9MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0171707
1484581
21856453
37163413
08247395
Stop Event
iter limit
node limit
Counts
21 → 21
Calls
Call 1
Inputs
(/ 2 (* f (- (* 1/4 (PI)) (* -1/4 (PI)))))
(/ (+ (* f (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))))) (* 2 (/ 1 (- (* 1/4 (PI)) (* -1/4 (PI)))))) f)
(/ (+ (* f (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (+ (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* f (- (* 1/16 (/ (pow (PI) 2) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 2 (/ (- (* 1/384 (pow (PI) 3)) (* -1/384 (pow (PI) 3))) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 2)))))))) (* 2 (/ 1 (- (* 1/4 (PI)) (* -1/4 (PI)))))) f)
(/ (+ (* f (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (+ (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* f (- (+ (* 1/16 (/ (pow (PI) 2) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* f (- (+ (* -1/384 (/ (pow (PI) 3) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/384 (/ (pow (PI) 3) (- (* 1/4 (PI)) (* -1/4 (PI)))))) (/ (* (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI)))))) (- (* 1/384 (pow (PI) 3)) (* -1/384 (pow (PI) 3)))) (- (* 1/4 (PI)) (* -1/4 (PI))))))) (* 2 (/ (- (* 1/384 (pow (PI) 3)) (* -1/384 (pow (PI) 3))) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 2)))))))) (* 2 (/ 1 (- (* 1/4 (PI)) (* -1/4 (PI)))))) f)
(* -4 (/ (+ (log (/ 2 (- (* 1/4 (PI)) (* -1/4 (PI))))) (* -1 (log f))) (PI)))
(- (* -2 (/ (* f (* (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI)))))) (- (* 1/4 (PI)) (* -1/4 (PI))))) (PI))) (* 4 (/ (+ (log (/ 2 (- (* 1/4 (PI)) (* -1/4 (PI))))) (* -1 (log f))) (PI))))
(- (* f (- (* -2 (/ (* f (+ (* -1/4 (* (pow (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI)))))) 2) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 2))) (* (- (* 1/16 (/ (pow (PI) 2) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 2 (/ (- (* 1/384 (pow (PI) 3)) (* -1/384 (pow (PI) 3))) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 2)))) (- (* 1/4 (PI)) (* -1/4 (PI)))))) (PI))) (* 2 (/ (* (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI)))))) (- (* 1/4 (PI)) (* -1/4 (PI)))) (PI))))) (* 4 (/ (+ (log (/ 2 (- (* 1/4 (PI)) (* -1/4 (PI))))) (* -1 (log f))) (PI))))
(- (* f (- (* f (- (* -2/3 (/ (* f (+ (* -3/2 (* (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI)))))) (* (- (* 1/16 (/ (pow (PI) 2) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 2 (/ (- (* 1/384 (pow (PI) 3)) (* -1/384 (pow (PI) 3))) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 2)))) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 2)))) (+ (* 1/4 (* (pow (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI)))))) 3) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 3))) (* 3 (* (- (* 1/4 (PI)) (* -1/4 (PI))) (- (+ (* -1/384 (/ (pow (PI) 3) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/384 (/ (pow (PI) 3) (- (* 1/4 (PI)) (* -1/4 (PI)))))) (/ (* (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI)))))) (- (* 1/384 (pow (PI) 3)) (* -1/384 (pow (PI) 3)))) (- (* 1/4 (PI)) (* -1/4 (PI)))))))))) (PI))) (* 2 (/ (+ (* -1/4 (* (pow (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI)))))) 2) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 2))) (* (- (* 1/16 (/ (pow (PI) 2) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 2 (/ (- (* 1/384 (pow (PI) 3)) (* -1/384 (pow (PI) 3))) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 2)))) (- (* 1/4 (PI)) (* -1/4 (PI))))) (PI))))) (* 2 (/ (* (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI)))))) (- (* 1/4 (PI)) (* -1/4 (PI)))) (PI))))) (* 4 (/ (+ (log (/ 2 (- (* 1/4 (PI)) (* -1/4 (PI))))) (* -1 (log f))) (PI))))
(* 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))))
(* 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))))))))
(* 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 (/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI)))))))) (PI)))
(- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI))))))
(* 4 (/ (log (/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI)))))))) (PI)))
Outputs
(/ 2 (* f (- (* 1/4 (PI)) (* -1/4 (PI)))))
(/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f)
(/ (+ (* f (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))))) (* 2 (/ 1 (- (* 1/4 (PI)) (* -1/4 (PI)))))) f)
(/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f)
(/ (+ (* f (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (+ (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* f (- (* 1/16 (/ (pow (PI) 2) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 2 (/ (- (* 1/384 (pow (PI) 3)) (* -1/384 (pow (PI) 3))) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 2)))))))) (* 2 (/ 1 (- (* 1/4 (PI)) (* -1/4 (PI)))))) f)
(/.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -2 binary64) (*.f64 (PI.f64) #s(literal 1/48 binary64)) (*.f64 #s(literal 1/8 binary64) (PI.f64))) f) f (/.f64 #s(literal 4 binary64) (PI.f64))) f)
(/ (+ (* f (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (+ (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* f (- (+ (* 1/16 (/ (pow (PI) 2) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* f (- (+ (* -1/384 (/ (pow (PI) 3) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/384 (/ (pow (PI) 3) (- (* 1/4 (PI)) (* -1/4 (PI)))))) (/ (* (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI)))))) (- (* 1/384 (pow (PI) 3)) (* -1/384 (pow (PI) 3)))) (- (* 1/4 (PI)) (* -1/4 (PI))))))) (* 2 (/ (- (* 1/384 (pow (PI) 3)) (* -1/384 (pow (PI) 3))) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 2)))))))) (* 2 (/ 1 (- (* 1/4 (PI)) (* -1/4 (PI)))))) f)
(/.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -2 binary64) (*.f64 (PI.f64) #s(literal 1/48 binary64)) (*.f64 #s(literal 1/8 binary64) (PI.f64))) f) f (/.f64 #s(literal 4 binary64) (PI.f64))) f)
(* -4 (/ (+ (log (/ 2 (- (* 1/4 (PI)) (* -1/4 (PI))))) (* -1 (log f))) (PI)))
(*.f64 (-.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (log.f64 f)) (/.f64 #s(literal -4 binary64) (PI.f64)))
(- (* -2 (/ (* f (* (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI)))))) (- (* 1/4 (PI)) (* -1/4 (PI))))) (PI))) (* 4 (/ (+ (log (/ 2 (- (* 1/4 (PI)) (* -1/4 (PI))))) (* -1 (log f))) (PI))))
(*.f64 (-.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (log.f64 f)) (/.f64 #s(literal -4 binary64) (PI.f64)))
(- (* 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))))
(fma.f64 (*.f64 (*.f64 #s(literal -2 binary64) f) (/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -2 binary64) (*.f64 (PI.f64) #s(literal 1/48 binary64)) (*.f64 #s(literal 1/8 binary64) (PI.f64)))) (PI.f64)) (PI.f64))) f (*.f64 (-.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (log.f64 f)) (/.f64 #s(literal -4 binary64) (PI.f64))))
(- (* f (- (* f (- (* -2/3 (/ (* f (+ (* -3/2 (* (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI)))))) (* (- (* 1/16 (/ (pow (PI) 2) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 2 (/ (- (* 1/384 (pow (PI) 3)) (* -1/384 (pow (PI) 3))) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 2)))) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 2)))) (+ (* 1/4 (* (pow (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI)))))) 3) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 3))) (* 3 (* (- (* 1/4 (PI)) (* -1/4 (PI))) (- (+ (* -1/384 (/ (pow (PI) 3) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/384 (/ (pow (PI) 3) (- (* 1/4 (PI)) (* -1/4 (PI)))))) (/ (* (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI)))))) (- (* 1/384 (pow (PI) 3)) (* -1/384 (pow (PI) 3)))) (- (* 1/4 (PI)) (* -1/4 (PI)))))))))) (PI))) (* 2 (/ (+ (* -1/4 (* (pow (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI)))))) 2) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 2))) (* (- (* 1/16 (/ (pow (PI) 2) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 2 (/ (- (* 1/384 (pow (PI) 3)) (* -1/384 (pow (PI) 3))) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 2)))) (- (* 1/4 (PI)) (* -1/4 (PI))))) (PI))))) (* 2 (/ (* (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI)))))) (- (* 1/4 (PI)) (* -1/4 (PI)))) (PI))))) (* 4 (/ (+ (log (/ 2 (- (* 1/4 (PI)) (* -1/4 (PI))))) (* -1 (log f))) (PI))))
(fma.f64 (*.f64 (*.f64 #s(literal -2 binary64) f) (/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -2 binary64) (*.f64 (PI.f64) #s(literal 1/48 binary64)) (*.f64 #s(literal 1/8 binary64) (PI.f64)))) (PI.f64)) (PI.f64))) f (*.f64 (-.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (log.f64 f)) (/.f64 #s(literal -4 binary64) (PI.f64))))
(* f (- (* 1/4 (PI)) (* -1/4 (PI))))
(*.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) f)
(* f (- (+ (* 1/4 (PI)) (* (pow f 2) (- (* 1/384 (pow (PI) 3)) (* -1/384 (pow (PI) 3))))) (* -1/4 (PI))))
(*.f64 (fma.f64 (*.f64 (*.f64 #s(literal 1/192 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64))) f) f (*.f64 #s(literal 1/2 binary64) (PI.f64))) f)
(* f (- (+ (* 1/4 (PI)) (* (pow f 2) (- (+ (* 1/384 (pow (PI) 3)) (* (pow f 2) (- (* 1/122880 (pow (PI) 5)) (* -1/122880 (pow (PI) 5))))) (* -1/384 (pow (PI) 3))))) (* -1/4 (PI))))
(*.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (*.f64 (fma.f64 (*.f64 #s(literal 1/61440 binary64) (*.f64 f f)) (pow.f64 (PI.f64) #s(literal 5 binary64)) (*.f64 #s(literal 1/192 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64)))) (*.f64 f f))) f)
(* f (- (+ (* 1/4 (PI)) (* (pow f 2) (- (+ (* 1/384 (pow (PI) 3)) (* (pow f 2) (- (+ (* 1/122880 (pow (PI) 5)) (* (pow f 2) (- (* 1/82575360 (pow (PI) 7)) (* -1/82575360 (pow (PI) 7))))) (* -1/122880 (pow (PI) 5))))) (* -1/384 (pow (PI) 3))))) (* -1/4 (PI))))
(*.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (*.f64 (fma.f64 #s(literal 1/192 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64)) (*.f64 (fma.f64 (*.f64 #s(literal 1/41287680 binary64) (*.f64 f f)) (pow.f64 (PI.f64) #s(literal 7 binary64)) (*.f64 #s(literal 1/61440 binary64) (pow.f64 (PI.f64) #s(literal 5 binary64)))) (*.f64 f f))) (*.f64 f f))) f)
(* 4 (/ (+ (log (/ 2 (- (* 1/4 (PI)) (* -1/4 (PI))))) (* -1 (log f))) (PI)))
(*.f64 (-.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (log.f64 f)) (/.f64 #s(literal 4 binary64) (PI.f64)))
(+ (* 2 (/ (* f (* (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI)))))) (- (* 1/4 (PI)) (* -1/4 (PI))))) (PI))) (* 4 (/ (+ (log (/ 2 (- (* 1/4 (PI)) (* -1/4 (PI))))) (* -1 (log f))) (PI))))
(*.f64 (-.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (log.f64 f)) (/.f64 #s(literal 4 binary64) (PI.f64)))
(+ (* 4 (/ (+ (log (/ 2 (- (* 1/4 (PI)) (* -1/4 (PI))))) (* -1 (log f))) (PI))) (* f (+ (* 2 (/ (* f (+ (* -1/4 (* (pow (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI)))))) 2) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 2))) (* (- (* 1/16 (/ (pow (PI) 2) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 2 (/ (- (* 1/384 (pow (PI) 3)) (* -1/384 (pow (PI) 3))) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 2)))) (- (* 1/4 (PI)) (* -1/4 (PI)))))) (PI))) (* 2 (/ (* (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI)))))) (- (* 1/4 (PI)) (* -1/4 (PI)))) (PI))))))
(fma.f64 (*.f64 #s(literal 2 binary64) f) (*.f64 (/.f64 f (PI.f64)) (*.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -2 binary64) (*.f64 (PI.f64) #s(literal 1/48 binary64)) (*.f64 #s(literal 1/8 binary64) (PI.f64)))) (PI.f64))) (*.f64 (-.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (log.f64 f)) (/.f64 #s(literal 4 binary64) (PI.f64))))
(+ (* 4 (/ (+ (log (/ 2 (- (* 1/4 (PI)) (* -1/4 (PI))))) (* -1 (log f))) (PI))) (* f (+ (* 2 (/ (* (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI)))))) (- (* 1/4 (PI)) (* -1/4 (PI)))) (PI))) (* f (+ (* 2/3 (/ (* f (+ (* -3/2 (* (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI)))))) (* (- (* 1/16 (/ (pow (PI) 2) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 2 (/ (- (* 1/384 (pow (PI) 3)) (* -1/384 (pow (PI) 3))) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 2)))) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 2)))) (+ (* 1/4 (* (pow (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI)))))) 3) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 3))) (* 3 (* (- (* 1/4 (PI)) (* -1/4 (PI))) (- (+ (* -1/384 (/ (pow (PI) 3) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/384 (/ (pow (PI) 3) (- (* 1/4 (PI)) (* -1/4 (PI)))))) (/ (* (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI)))))) (- (* 1/384 (pow (PI) 3)) (* -1/384 (pow (PI) 3)))) (- (* 1/4 (PI)) (* -1/4 (PI)))))))))) (PI))) (* 2 (/ (+ (* -1/4 (* (pow (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI)))))) 2) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 2))) (* (- (* 1/16 (/ (pow (PI) 2) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 2 (/ (- (* 1/384 (pow (PI) 3)) (* -1/384 (pow (PI) 3))) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 2)))) (- (* 1/4 (PI)) (* -1/4 (PI))))) (PI))))))))
(fma.f64 (*.f64 #s(literal 2 binary64) f) (*.f64 (/.f64 f (PI.f64)) (*.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -2 binary64) (*.f64 (PI.f64) #s(literal 1/48 binary64)) (*.f64 #s(literal 1/8 binary64) (PI.f64)))) (PI.f64))) (*.f64 (-.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (log.f64 f)) (/.f64 #s(literal 4 binary64) (PI.f64))))
(* 1/4 (* f (PI)))
(*.f64 (*.f64 #s(literal 1/4 binary64) f) (PI.f64))
(/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI)))))))
(/.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) #s(literal 1/4 binary64)) f) (pow.f64 (exp.f64 (PI.f64)) (*.f64 #s(literal -1/4 binary64) f))) (-.f64 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) #s(literal 1/4 binary64)) f) (pow.f64 (exp.f64 (PI.f64)) (*.f64 #s(literal -1/4 binary64) f))))
(* -4 (/ (log (/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI)))))))) (PI)))
(*.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) #s(literal 1/4 binary64)) f) (pow.f64 (exp.f64 (PI.f64)) (*.f64 #s(literal -1/4 binary64) f))) (-.f64 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) #s(literal 1/4 binary64)) f) (pow.f64 (exp.f64 (PI.f64)) (*.f64 #s(literal -1/4 binary64) f))))) (/.f64 #s(literal -4 binary64) (PI.f64)))
(- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI))))))
(-.f64 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) #s(literal 1/4 binary64)) f) (pow.f64 (exp.f64 (PI.f64)) (*.f64 #s(literal -1/4 binary64) f)))
(* 4 (/ (log (/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI)))))))) (PI)))
(*.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) #s(literal 1/4 binary64)) f) (pow.f64 (exp.f64 (PI.f64)) (*.f64 #s(literal -1/4 binary64) f))) (-.f64 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) #s(literal 1/4 binary64)) f) (pow.f64 (exp.f64 (PI.f64)) (*.f64 #s(literal -1/4 binary64) f))))) (/.f64 #s(literal 4 binary64) (PI.f64)))

rewrite147.0ms (1%)

Memory
14.9MiB live, 206.8MiB allocated
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
016129
02987
111949
278449
0856749
Stop Event
iter limit
node limit
iter limit
Counts
7 → 556
Calls
Call 1
Inputs
(/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))))
(/.f64 (PI.f64) #s(literal 4 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64)))
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))))))
(-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))))))
(*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)
Outputs
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(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (pow.f64 (log.f64 (*.f64 (cosh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))) #s(literal 2 binary64))) #s(literal 2 binary64)) (pow.f64 (log.f64 (*.f64 (sinh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))) #s(literal 2 binary64))) #s(literal 2 binary64)))) (*.f64 (PI.f64) (log.f64 (-.f64 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) #s(literal 1/2 binary64)) f) (pow.f64 (pow.f64 (exp.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 f))))))
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (pow.f64 (log.f64 (*.f64 (cosh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))) #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (log.f64 (*.f64 (sinh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))) #s(literal 2 binary64))) #s(literal 3 binary64)))) (*.f64 (PI.f64) (+.f64 (pow.f64 (log.f64 (*.f64 (cosh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))) #s(literal 2 binary64))) #s(literal 2 binary64)) (*.f64 (log.f64 (*.f64 (sinh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))) #s(literal 2 binary64))) (+.f64 (log.f64 (*.f64 (sinh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))) #s(literal 2 binary64))) (log.f64 (*.f64 (cosh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))) #s(literal 2 binary64))))))))
(/.f64 (/.f64 (log.f64 (tanh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64))))) (PI.f64)) #s(literal -1/4 binary64))
(/.f64 (/.f64 (log.f64 (tanh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64))))) (neg.f64 (PI.f64))) #s(literal 1/4 binary64))
(/.f64 (neg.f64 (pow.f64 (*.f64 (log.f64 (tanh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64))))) (/.f64 #s(literal -4 binary64) (PI.f64))) #s(literal 2 binary64))) (*.f64 (log.f64 (tanh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64))))) (/.f64 #s(literal 4 binary64) (PI.f64))))
(/.f64 (/.f64 (log.f64 (tanh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64))))) #s(literal -1/4 binary64)) (PI.f64))
(/.f64 (log.f64 (tanh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64))))) (*.f64 #s(literal -1/4 binary64) (PI.f64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 #s(literal -1/4 binary64) (PI.f64)) (log.f64 (tanh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64))))))))
(/.f64 (neg.f64 (log.f64 (tanh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))))) (*.f64 #s(literal 1/4 binary64) (PI.f64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/4 binary64) (/.f64 (log.f64 (tanh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64))))) (neg.f64 (PI.f64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 #s(literal -1/4 binary64) (PI.f64)) (log.f64 (tanh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal -1/4 binary64) (PI.f64)) (log.f64 (tanh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))))))
(neg.f64 (*.f64 (log.f64 (tanh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64))))) (/.f64 #s(literal 4 binary64) (PI.f64))))
(fma.f64 (log.f64 (*.f64 (cosh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))) #s(literal 2 binary64))) (/.f64 #s(literal 4 binary64) (PI.f64)) (*.f64 (log.f64 (/.f64 #s(literal 1/2 binary64) (sinh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))))) (/.f64 #s(literal 4 binary64) (PI.f64))))
(fma.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (log.f64 (*.f64 (cosh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))) #s(literal 2 binary64))) (*.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (log.f64 (/.f64 #s(literal 1/2 binary64) (sinh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64))))))))
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 #s(literal -1/4 binary64) (PI.f64))) (*.f64 (log.f64 (tanh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64))))) (/.f64 #s(literal 4 binary64) (PI.f64))))
(-.f64 (/.f64 (log.f64 (*.f64 #s(literal -2 binary64) (cosh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))))) (*.f64 #s(literal 1/4 binary64) (PI.f64))) (/.f64 (log.f64 (*.f64 #s(literal -2 binary64) (sinh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))))) (*.f64 #s(literal 1/4 binary64) (PI.f64))))
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 #s(literal 1/4 binary64) (PI.f64))) (*.f64 (log.f64 (tanh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64))))) (/.f64 #s(literal 4 binary64) (PI.f64))))
(-.f64 (/.f64 (log.f64 (*.f64 (cosh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))) #s(literal 2 binary64))) (*.f64 #s(literal 1/4 binary64) (PI.f64))) (/.f64 (log.f64 (*.f64 (sinh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))) #s(literal 2 binary64))) (*.f64 #s(literal 1/4 binary64) (PI.f64))))
(+.f64 (*.f64 (log.f64 (*.f64 (cosh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))) #s(literal 2 binary64))) (/.f64 #s(literal 4 binary64) (PI.f64))) (*.f64 (log.f64 (/.f64 #s(literal 1/2 binary64) (sinh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))))) (/.f64 #s(literal 4 binary64) (PI.f64))))
(+.f64 (*.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (log.f64 (*.f64 (cosh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))) #s(literal 2 binary64)))) (*.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (log.f64 (/.f64 #s(literal 1/2 binary64) (sinh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64))))))))
(+.f64 #s(literal 0 binary64) (*.f64 (log.f64 (tanh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64))))) (/.f64 #s(literal -4 binary64) (PI.f64))))
(*.f64 (*.f64 f (sqrt.f64 (PI.f64))) (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/4 binary64)))
(*.f64 (*.f64 f (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64))) (*.f64 (cbrt.f64 (PI.f64)) #s(literal 1/4 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (PI.f64))) (/.f64 f #s(literal -4 binary64)))
(*.f64 (/.f64 f (/.f64 #s(literal -1 binary64) (PI.f64))) #s(literal -1/4 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) #s(literal 1/2 binary64))) (/.f64 f (pow.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) #s(literal 1/2 binary64))))
(*.f64 (/.f64 f (pow.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) #s(literal 1/2 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) #s(literal 1/2 binary64))))
(*.f64 (/.f64 f (pow.f64 (PI.f64) #s(literal -1 binary64))) #s(literal 1/4 binary64))
(*.f64 (/.f64 f #s(literal -1 binary64)) (*.f64 #s(literal -1/4 binary64) (PI.f64)))
(*.f64 (/.f64 f #s(literal 1 binary64)) (*.f64 #s(literal 1/4 binary64) (PI.f64)))
(*.f64 (*.f64 f #s(literal 1/4 binary64)) (PI.f64))
(*.f64 (*.f64 (neg.f64 f) (PI.f64)) #s(literal -1/4 binary64))
(*.f64 (*.f64 f (PI.f64)) #s(literal 1/4 binary64))
(*.f64 #s(literal 1/4 binary64) (/.f64 f (pow.f64 (PI.f64) #s(literal -1 binary64))))
(*.f64 #s(literal 1/4 binary64) (*.f64 f (PI.f64)))
(*.f64 (neg.f64 (PI.f64)) (*.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 (sqrt.f64 (PI.f64)) (*.f64 (*.f64 (sqrt.f64 (PI.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 (sqrt.f64 (PI.f64)) (*.f64 #s(literal 1/4 binary64) f)))
(*.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (*.f64 (*.f64 (cbrt.f64 (PI.f64)) f) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (*.f64 (*.f64 (cbrt.f64 (PI.f64)) #s(literal 1/4 binary64)) f))
(*.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (PI.f64)) (*.f64 f #s(literal 1/4 binary64))))
(*.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (PI.f64)) (*.f64 #s(literal 1/4 binary64) f)))
(*.f64 (cbrt.f64 (PI.f64)) (*.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (*.f64 f #s(literal 1/4 binary64))))
(*.f64 (cbrt.f64 (PI.f64)) (*.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (*.f64 #s(literal 1/4 binary64) f)))
(*.f64 #s(literal -1 binary64) (*.f64 (*.f64 f (PI.f64)) #s(literal -1/4 binary64)))
(*.f64 #s(literal 1 binary64) (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64))))
(*.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64))) #s(literal 1 binary64))
(*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))
(*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (/.f64 f #s(literal 1 binary64)))
(*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (log.f64 (exp.f64 f)))
(*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) f)
(*.f64 (PI.f64) (*.f64 #s(literal 1 binary64) (*.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 f #s(literal 1/4 binary64)))
(*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))
(pow.f64 (/.f64 #s(literal 4 binary64) (*.f64 f (PI.f64))) #s(literal -1 binary64))
(/.f64 (+.f64 #s(literal 0 binary64) (pow.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64))) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (-.f64 (pow.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64))) #s(literal 2 binary64)) #s(literal 0 binary64))))
(/.f64 (*.f64 (neg.f64 (PI.f64)) (neg.f64 f)) #s(literal 4 binary64))
(/.f64 (neg.f64 (pow.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64))) #s(literal 2 binary64))) (*.f64 (*.f64 f (PI.f64)) #s(literal -1/4 binary64)))
(/.f64 (*.f64 (neg.f64 f) (PI.f64)) #s(literal -4 binary64))
(/.f64 (*.f64 f (PI.f64)) #s(literal 4 binary64))
(/.f64 (neg.f64 f) (/.f64 #s(literal -4 binary64) (PI.f64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 4 binary64) (*.f64 f (PI.f64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 4 binary64) (*.f64 f (PI.f64))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) (*.f64 f (PI.f64))))
(/.f64 f (/.f64 #s(literal 4 binary64) (PI.f64)))
(neg.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal -1/4 binary64)))
(+.f64 (log.f64 (pow.f64 (exp.f64 (PI.f64)) (*.f64 #s(literal 1/4 binary64) (*.f64 f #s(literal 1/2 binary64))))) (log.f64 (pow.f64 (exp.f64 (PI.f64)) (*.f64 #s(literal 1/4 binary64) (*.f64 f #s(literal 1/2 binary64))))))
(+.f64 #s(literal 0 binary64) (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64))))
(log.f64 (pow.f64 (pow.f64 (exp.f64 f) #s(literal 1/4 binary64)) (PI.f64)))

eval176.0ms (1.2%)

Memory
-16.9MiB live, 352.6MiB allocated
Compiler

Compiled 37 350 to 4 692 computations (87.4% saved)

prune26.0ms (0.2%)

Memory
-18.8MiB live, 65.0MiB allocated
Pruning

12 alts after pruning (12 fresh and 0 done)

PrunedKeptTotal
New88212894
Fresh000
Picked101
Done000
Total88312895
Accuracy
100.0%
Counts
895 → 12
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.5%
(/.f64 (log.f64 (tanh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64))))) (*.f64 #s(literal 1/4 binary64) (PI.f64)))
99.4%
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (log.f64 (tanh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))))))
98.1%
(-.f64 (/.f64 (log.f64 (*.f64 (cosh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))) #s(literal 2 binary64))) (*.f64 #s(literal -1/4 binary64) (PI.f64))) (/.f64 (log.f64 (*.f64 (sinh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))) #s(literal 2 binary64))) (*.f64 #s(literal -1/4 binary64) (PI.f64))))
99.5%
(*.f64 (pow.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) #s(literal 1/2 binary64)) (*.f64 (pow.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) #s(literal 1/2 binary64)) (log.f64 (tanh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))))))
97.7%
(*.f64 (neg.f64 (pow.f64 (*.f64 (log.f64 (tanh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64))))) (/.f64 #s(literal -4 binary64) (PI.f64))) #s(literal 2 binary64))) (/.f64 (*.f64 #s(literal -1/4 binary64) (PI.f64)) (log.f64 (tanh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))))))
97.9%
(neg.f64 (/.f64 (*.f64 (pow.f64 (PI.f64) #s(literal -1 binary64)) (-.f64 (pow.f64 (log.f64 (*.f64 (cosh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))) #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (log.f64 (*.f64 (sinh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))) #s(literal 2 binary64))) #s(literal 3 binary64)))) (*.f64 #s(literal 1/4 binary64) (+.f64 (pow.f64 (log.f64 (*.f64 (cosh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))) #s(literal 2 binary64))) #s(literal 2 binary64)) (*.f64 (log.f64 (*.f64 (sinh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))) #s(literal 2 binary64))) (+.f64 (log.f64 (*.f64 (sinh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))) #s(literal 2 binary64))) (log.f64 (*.f64 (cosh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))) #s(literal 2 binary64)))))))))
97.9%
(neg.f64 (/.f64 (*.f64 (-.f64 (pow.f64 (log.f64 (*.f64 (cosh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))) #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (log.f64 (*.f64 (sinh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))) #s(literal 2 binary64))) #s(literal 3 binary64))) #s(literal 4 binary64)) (*.f64 (+.f64 (pow.f64 (log.f64 (*.f64 (cosh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))) #s(literal 2 binary64))) #s(literal 2 binary64)) (*.f64 (log.f64 (*.f64 (sinh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))) #s(literal 2 binary64))) (+.f64 (log.f64 (*.f64 (sinh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))) #s(literal 2 binary64))) (log.f64 (*.f64 (cosh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))) #s(literal 2 binary64)))))) (PI.f64))))
99.2%
(neg.f64 (/.f64 (*.f64 (neg.f64 (log.f64 (tanh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))))) (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (PI.f64))))
99.3%
(neg.f64 (*.f64 (/.f64 (neg.f64 (log.f64 (tanh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))))) (sqrt.f64 (PI.f64))) (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64)))))
98.1%
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -2 binary64) (*.f64 (PI.f64) #s(literal 1/48 binary64)) (*.f64 #s(literal 1/8 binary64) (PI.f64))) f) f (/.f64 #s(literal 4 binary64) (PI.f64))) f)))))
97.7%
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f)))))
97.7%
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (*.f64 (-.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (log.f64 f)) (/.f64 #s(literal -4 binary64) (PI.f64))))
Compiler

Compiled 838 to 444 computations (47% saved)

simplify96.0ms (0.7%)

Memory
13.5MiB live, 89.0MiB allocated
Algorithm
egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(PI.f64)
cost-diff0
(/.f64 #s(literal 4 binary64) (PI.f64))
cost-diff2304
(*.f64 (pow.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) #s(literal 1/2 binary64)) (*.f64 (pow.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) #s(literal 1/2 binary64)) (log.f64 (tanh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))))))
cost-diff5824
(pow.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) #s(literal 1/2 binary64))
cost-diff0
(neg.f64 (log.f64 (tanh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64))))))
cost-diff0
(/.f64 (neg.f64 (log.f64 (tanh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))))) (sqrt.f64 (PI.f64)))
cost-diff128
(neg.f64 (*.f64 (/.f64 (neg.f64 (log.f64 (tanh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))))) (sqrt.f64 (PI.f64))) (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64)))))
cost-diff2112
(*.f64 (/.f64 (neg.f64 (log.f64 (tanh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))))) (sqrt.f64 (PI.f64))) (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64))))
cost-diff0
(log.f64 (/.f64 #s(literal 4 binary64) (PI.f64)))
cost-diff0
(-.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (log.f64 f))
cost-diff0
(*.f64 (-.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (log.f64 f)) (/.f64 #s(literal -4 binary64) (PI.f64)))
cost-diff0
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (*.f64 (-.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (log.f64 f)) (/.f64 #s(literal -4 binary64) (PI.f64))))
cost-diff0
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (/.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 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f)))))
cost-diff320
(/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64)))
cost-diff384
(/.f64 (PI.f64) #s(literal 4 binary64))
cost-diff0
(*.f64 #s(literal 1/4 binary64) (PI.f64))
cost-diff0
(tanh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64))))
cost-diff0
(log.f64 (tanh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))))
cost-diff0
(/.f64 (log.f64 (tanh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64))))) (*.f64 #s(literal 1/4 binary64) (PI.f64)))
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
048443
076433
1164407
2403406
3955402
42107402
54712402
66673402
08060402
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(/.f64 (log.f64 (tanh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64))))) (*.f64 #s(literal 1/4 binary64) (PI.f64)))
(log.f64 (tanh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))))
(tanh.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)
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f)))))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (/.f64 #s(literal 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 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f)))
#s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f))
(/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f)
(/.f64 #s(literal 4 binary64) (PI.f64))
f
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (*.f64 (-.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (log.f64 f)) (/.f64 #s(literal -4 binary64) (PI.f64))))
(*.f64 (-.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (log.f64 f)) (/.f64 #s(literal -4 binary64) (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))
#s(literal 4 binary64)
(PI.f64)
(log.f64 f)
f
(/.f64 #s(literal -4 binary64) (PI.f64))
#s(literal -4 binary64)
(neg.f64 (*.f64 (/.f64 (neg.f64 (log.f64 (tanh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))))) (sqrt.f64 (PI.f64))) (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64)))))
(*.f64 (/.f64 (neg.f64 (log.f64 (tanh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))))) (sqrt.f64 (PI.f64))) (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64))))
(/.f64 (neg.f64 (log.f64 (tanh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))))) (sqrt.f64 (PI.f64)))
(neg.f64 (log.f64 (tanh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64))))))
(log.f64 (tanh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))))
(tanh.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)
(sqrt.f64 (PI.f64))
(/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64)))
#s(literal 4 binary64)
(*.f64 (pow.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) #s(literal 1/2 binary64)) (*.f64 (pow.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) #s(literal 1/2 binary64)) (log.f64 (tanh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))))))
(pow.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) #s(literal 1/2 binary64))
(/.f64 #s(literal 4 binary64) (PI.f64))
#s(literal 4 binary64)
(PI.f64)
#s(literal 1/2 binary64)
(*.f64 (pow.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) #s(literal 1/2 binary64)) (log.f64 (tanh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64))))))
(log.f64 (tanh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))))
(tanh.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)
Outputs
(/.f64 (log.f64 (tanh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64))))) (*.f64 #s(literal 1/4 binary64) (PI.f64)))
(*.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (log.f64 (tanh.f64 (*.f64 (/.f64 f #s(literal 4 binary64)) (PI.f64)))))
(log.f64 (tanh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))))
(log.f64 (tanh.f64 (*.f64 (/.f64 f #s(literal 4 binary64)) (PI.f64))))
(tanh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64))))
(tanh.f64 (*.f64 (/.f64 f #s(literal 4 binary64)) (PI.f64)))
(*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))
(*.f64 (/.f64 f #s(literal 4 binary64)) (PI.f64))
f
(*.f64 #s(literal 1/4 binary64) (PI.f64))
(*.f64 (PI.f64) #s(literal 1/4 binary64))
#s(literal 1/4 binary64)
(PI.f64)
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f)))))
(*.f64 (/.f64 #s(literal -4 binary64) (PI.f64)) (log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f))))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f))))
(*.f64 (log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f))) (/.f64 #s(literal 4 binary64) (PI.f64)))
(/.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 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f)))
#s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f))
(/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f)
(/.f64 #s(literal 4 binary64) (PI.f64))
f
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (*.f64 (-.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (log.f64 f)) (/.f64 #s(literal -4 binary64) (PI.f64))))
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (*.f64 (/.f64 #s(literal -4 binary64) (PI.f64)) (-.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (log.f64 f))))
(*.f64 (-.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (log.f64 f)) (/.f64 #s(literal -4 binary64) (PI.f64)))
(*.f64 (/.f64 #s(literal -4 binary64) (PI.f64)) (-.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (log.f64 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 #s(literal -4 binary64) (PI.f64))
#s(literal -4 binary64)
(neg.f64 (*.f64 (/.f64 (neg.f64 (log.f64 (tanh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))))) (sqrt.f64 (PI.f64))) (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64)))))
(*.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (log.f64 (tanh.f64 (*.f64 (/.f64 f #s(literal 4 binary64)) (PI.f64)))))
(*.f64 (/.f64 (neg.f64 (log.f64 (tanh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))))) (sqrt.f64 (PI.f64))) (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64))))
(*.f64 (/.f64 #s(literal -4 binary64) (PI.f64)) (log.f64 (tanh.f64 (*.f64 (/.f64 f #s(literal 4 binary64)) (PI.f64)))))
(/.f64 (neg.f64 (log.f64 (tanh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))))) (sqrt.f64 (PI.f64)))
(/.f64 (log.f64 (tanh.f64 (*.f64 (/.f64 f #s(literal 4 binary64)) (PI.f64)))) (neg.f64 (sqrt.f64 (PI.f64))))
(neg.f64 (log.f64 (tanh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64))))))
(neg.f64 (log.f64 (tanh.f64 (*.f64 (/.f64 f #s(literal 4 binary64)) (PI.f64)))))
(log.f64 (tanh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))))
(log.f64 (tanh.f64 (*.f64 (/.f64 f #s(literal 4 binary64)) (PI.f64))))
(tanh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64))))
(tanh.f64 (*.f64 (/.f64 f #s(literal 4 binary64)) (PI.f64)))
(*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))
(*.f64 (/.f64 f #s(literal 4 binary64)) (PI.f64))
f
(*.f64 #s(literal 1/4 binary64) (PI.f64))
(*.f64 (PI.f64) #s(literal 1/4 binary64))
#s(literal 1/4 binary64)
(PI.f64)
(sqrt.f64 (PI.f64))
(/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64)))
#s(literal 4 binary64)
(*.f64 (pow.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) #s(literal 1/2 binary64)) (*.f64 (pow.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) #s(literal 1/2 binary64)) (log.f64 (tanh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))))))
(*.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (log.f64 (tanh.f64 (*.f64 (/.f64 f #s(literal 4 binary64)) (PI.f64)))))
(pow.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) #s(literal 1/2 binary64))
(sqrt.f64 (/.f64 #s(literal 4 binary64) (PI.f64)))
(/.f64 #s(literal 4 binary64) (PI.f64))
#s(literal 4 binary64)
(PI.f64)
#s(literal 1/2 binary64)
(*.f64 (pow.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) #s(literal 1/2 binary64)) (log.f64 (tanh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64))))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (log.f64 (tanh.f64 (*.f64 (/.f64 f #s(literal 4 binary64)) (PI.f64)))))
(log.f64 (tanh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))))
(log.f64 (tanh.f64 (*.f64 (/.f64 f #s(literal 4 binary64)) (PI.f64))))
(tanh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64))))
(tanh.f64 (*.f64 (/.f64 f #s(literal 4 binary64)) (PI.f64)))
(*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))
(*.f64 (/.f64 f #s(literal 4 binary64)) (PI.f64))
f
(*.f64 #s(literal 1/4 binary64) (PI.f64))
(*.f64 (PI.f64) #s(literal 1/4 binary64))
#s(literal 1/4 binary64)

localize227.0ms (1.6%)

Memory
-4.5MiB live, 315.5MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0.0078125
(tanh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64))))
accuracy0.2421875
(*.f64 (pow.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) #s(literal 1/2 binary64)) (log.f64 (tanh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64))))))
accuracy0.25390625
(*.f64 (pow.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) #s(literal 1/2 binary64)) (*.f64 (pow.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) #s(literal 1/2 binary64)) (log.f64 (tanh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))))))
accuracy0.26953125
(*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))
accuracy0.25390625
(*.f64 (/.f64 (neg.f64 (log.f64 (tanh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))))) (sqrt.f64 (PI.f64))) (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64))))
accuracy0.26953125
(*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))
accuracy0.3125
(/.f64 (neg.f64 (log.f64 (tanh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))))) (sqrt.f64 (PI.f64)))
accuracy1.0
(sqrt.f64 (PI.f64))
accuracy0.15625
(-.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (log.f64 f))
accuracy0.41796875
(*.f64 (-.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (log.f64 f)) (/.f64 #s(literal -4 binary64) (PI.f64)))
accuracy1.0905422460959664
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (*.f64 (-.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (log.f64 f)) (/.f64 #s(literal -4 binary64) (PI.f64))))
accuracy2.0
(log.f64 (/.f64 #s(literal 4 binary64) (PI.f64)))
accuracy0.0
(PI.f64)
accuracy0.40625
(/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f)
accuracy0.40625
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f))))
accuracy1.0718180144525746
#s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f))
accuracy0.0
(PI.f64)
accuracy0.0078125
(tanh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64))))
accuracy0.26953125
(*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))
accuracy0.3203125
(/.f64 (log.f64 (tanh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64))))) (*.f64 #s(literal 1/4 binary64) (PI.f64)))
Samples
178.0ms247×1valid
6.0ms2valid
2.0ms0valid
Compiler

Compiled 852 to 92 computations (89.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 148.0ms
ival-div: 27.0ms (18.3% of total)
ival-exp: 26.0ms (17.6% of total)
ival-log: 25.0ms (16.9% of total)
ival-mult: 24.0ms (16.3% of total)
adjust: 11.0ms (7.5% of total)
ival-neg: 8.0ms (5.4% of total)
ival-tanh: 8.0ms (5.4% of total)
ival-sqrt: 6.0ms (4.1% of total)
ival-pi: 5.0ms (3.4% of total)
ival-sub: 5.0ms (3.4% of total)
ival-add: 2.0ms (1.4% of total)
exact: 1.0ms (0.7% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series183.0ms (1.3%)

Memory
-2.5MiB live, 228.7MiB allocated
Counts
25 → 60
Calls
Call 1
Inputs
(/.f64 (log.f64 (tanh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64))))) (*.f64 #s(literal 1/4 binary64) (PI.f64)))
(log.f64 (tanh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))))
(tanh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64))))
(*.f64 #s(literal 1/4 binary64) (PI.f64))
(/.f64 (PI.f64) #s(literal 4 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64)))
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f)))))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f))))
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (*.f64 (-.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (log.f64 f)) (/.f64 #s(literal -4 binary64) (PI.f64))))
(*.f64 (-.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (log.f64 f)) (/.f64 #s(literal -4 binary64) (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 (/.f64 (neg.f64 (log.f64 (tanh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))))) (sqrt.f64 (PI.f64))) (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64))))
(neg.f64 (*.f64 (/.f64 (neg.f64 (log.f64 (tanh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))))) (sqrt.f64 (PI.f64))) (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64)))))
(/.f64 (neg.f64 (log.f64 (tanh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))))) (sqrt.f64 (PI.f64)))
(neg.f64 (log.f64 (tanh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64))))))
(pow.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) #s(literal 1/2 binary64))
(*.f64 (pow.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) #s(literal 1/2 binary64)) (*.f64 (pow.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) #s(literal 1/2 binary64)) (log.f64 (tanh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))))))
(/.f64 #s(literal 4 binary64) (PI.f64))
(PI.f64)
(*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))
#s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f))
(/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f)
(sqrt.f64 (PI.f64))
(*.f64 (pow.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) #s(literal 1/2 binary64)) (log.f64 (tanh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64))))))
Outputs
(* 4 (/ (+ (log f) (log (* 1/4 (PI)))) (PI)))
(+ (* 4 (/ (+ (log f) (log (* 1/4 (PI)))) (PI))) (* 8 (/ (* f (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2)))) (pow (PI) 2))))
(+ (* 4 (/ (+ (log f) (log (* 1/4 (PI)))) (PI))) (* f (+ (* 2 (/ (* f (+ (* -4 (/ (pow (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) 2) (pow (PI) 2))) (* 8 (/ (- (* 1/2 (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (+ (* -1/128 (pow (PI) 3)) (* 1/192 (pow (PI) 3))))) (* 1/128 (pow (PI) 3))) (PI))))) (PI))) (* 8 (/ (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) (pow (PI) 2))))))
(+ (* 4 (/ (+ (log f) (log (* 1/4 (PI)))) (PI))) (* f (+ (* 8 (/ (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) (pow (PI) 2))) (* f (+ (* 2/3 (/ (* f (+ (* -48 (/ (* (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) (- (* 1/2 (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (+ (* -1/128 (pow (PI) 3)) (* 1/192 (pow (PI) 3))))) (* 1/128 (pow (PI) 3)))) (pow (PI) 2))) (+ (* 16 (/ (pow (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) 3) (pow (PI) 3))) (* 24 (/ (- (* 1/2 (+ (* -1/4 (* (PI) (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (+ (* -1/128 (pow (PI) 3)) (* 1/384 (pow (PI) 3)))))) (+ (* -1/32 (* (pow (PI) 2) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (+ (* -1/1536 (pow (PI) 4)) (* 1/3072 (pow (PI) 4)))))) (+ (* -1/8 (* (PI) (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (* -1/128 (pow (PI) 3))))) (* 1/64 (* (pow (PI) 2) (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))))))) (PI)))))) (PI))) (* 2 (/ (+ (* -4 (/ (pow (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) 2) (pow (PI) 2))) (* 8 (/ (- (* 1/2 (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (+ (* -1/128 (pow (PI) 3)) (* 1/192 (pow (PI) 3))))) (* 1/128 (pow (PI) 3))) (PI)))) (PI))))))))
(+ (log f) (log (* 1/4 (PI))))
(+ (log f) (+ (log (* 1/4 (PI))) (* 2 (/ (* f (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2)))) (PI)))))
(+ (log f) (+ (log (* 1/4 (PI))) (* f (+ (* 1/2 (* f (+ (* -4 (/ (pow (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) 2) (pow (PI) 2))) (* 8 (/ (- (* 1/2 (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (+ (* -1/128 (pow (PI) 3)) (* 1/192 (pow (PI) 3))))) (* 1/128 (pow (PI) 3))) (PI)))))) (* 2 (/ (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) (PI)))))))
(+ (log f) (+ (log (* 1/4 (PI))) (* f (+ (* 2 (/ (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) (PI))) (* f (+ (* 1/6 (* f (+ (* -48 (/ (* (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) (- (* 1/2 (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (+ (* -1/128 (pow (PI) 3)) (* 1/192 (pow (PI) 3))))) (* 1/128 (pow (PI) 3)))) (pow (PI) 2))) (+ (* 16 (/ (pow (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) 3) (pow (PI) 3))) (* 24 (/ (- (* 1/2 (+ (* -1/4 (* (PI) (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (+ (* -1/128 (pow (PI) 3)) (* 1/384 (pow (PI) 3)))))) (+ (* -1/32 (* (pow (PI) 2) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (+ (* -1/1536 (pow (PI) 4)) (* 1/3072 (pow (PI) 4)))))) (+ (* -1/8 (* (PI) (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (* -1/128 (pow (PI) 3))))) (* 1/64 (* (pow (PI) 2) (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))))))) (PI))))))) (* 1/2 (+ (* -4 (/ (pow (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) 2) (pow (PI) 2))) (* 8 (/ (- (* 1/2 (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (+ (* -1/128 (pow (PI) 3)) (* 1/192 (pow (PI) 3))))) (* 1/128 (pow (PI) 3))) (PI)))))))))))
(* 1/4 (* f (PI)))
(* f (+ (* 1/4 (PI)) (* 1/2 (* f (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2)))))))
(* f (+ (* 1/4 (PI)) (* f (+ (* 1/2 (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2)))) (* f (- (* 1/2 (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (+ (* -1/128 (pow (PI) 3)) (* 1/192 (pow (PI) 3))))) (* 1/128 (pow (PI) 3))))))))
(* f (+ (* 1/4 (PI)) (* f (+ (* 1/2 (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2)))) (* f (- (+ (* 1/2 (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (+ (* -1/128 (pow (PI) 3)) (* 1/192 (pow (PI) 3))))) (* f (- (* 1/2 (+ (* -1/4 (* (PI) (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (+ (* -1/128 (pow (PI) 3)) (* 1/384 (pow (PI) 3)))))) (+ (* -1/32 (* (pow (PI) 2) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (+ (* -1/1536 (pow (PI) 4)) (* 1/3072 (pow (PI) 4)))))) (+ (* -1/8 (* (PI) (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (* -1/128 (pow (PI) 3))))) (* 1/64 (* (pow (PI) 2) (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))))))))) (* 1/128 (pow (PI) 3))))))))
(* -4 (/ (+ (log (/ 2 (- (* 1/4 (PI)) (* -1/4 (PI))))) (* -1 (log f))) (PI)))
(- (* -2 (/ (* f (* (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI)))))) (- (* 1/4 (PI)) (* -1/4 (PI))))) (PI))) (* 4 (/ (+ (log (/ 2 (- (* 1/4 (PI)) (* -1/4 (PI))))) (* -1 (log f))) (PI))))
(- (* f (- (* -2 (/ (* f (+ (* -1/4 (* (pow (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI)))))) 2) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 2))) (* (- (* 1/16 (/ (pow (PI) 2) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 2 (/ (- (* 1/384 (pow (PI) 3)) (* -1/384 (pow (PI) 3))) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 2)))) (- (* 1/4 (PI)) (* -1/4 (PI)))))) (PI))) (* 2 (/ (* (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI)))))) (- (* 1/4 (PI)) (* -1/4 (PI)))) (PI))))) (* 4 (/ (+ (log (/ 2 (- (* 1/4 (PI)) (* -1/4 (PI))))) (* -1 (log f))) (PI))))
(- (* f (- (* f (- (* -2/3 (/ (* f (+ (* -3/2 (* (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI)))))) (* (- (* 1/16 (/ (pow (PI) 2) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 2 (/ (- (* 1/384 (pow (PI) 3)) (* -1/384 (pow (PI) 3))) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 2)))) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 2)))) (+ (* 1/4 (* (pow (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI)))))) 3) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 3))) (* 3 (* (- (* 1/4 (PI)) (* -1/4 (PI))) (- (+ (* -1/384 (/ (pow (PI) 3) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/384 (/ (pow (PI) 3) (- (* 1/4 (PI)) (* -1/4 (PI)))))) (/ (* (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI)))))) (- (* 1/384 (pow (PI) 3)) (* -1/384 (pow (PI) 3)))) (- (* 1/4 (PI)) (* -1/4 (PI)))))))))) (PI))) (* 2 (/ (+ (* -1/4 (* (pow (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI)))))) 2) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 2))) (* (- (* 1/16 (/ (pow (PI) 2) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 2 (/ (- (* 1/384 (pow (PI) 3)) (* -1/384 (pow (PI) 3))) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 2)))) (- (* 1/4 (PI)) (* -1/4 (PI))))) (PI))))) (* 2 (/ (* (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI)))))) (- (* 1/4 (PI)) (* -1/4 (PI)))) (PI))))) (* 4 (/ (+ (log (/ 2 (- (* 1/4 (PI)) (* -1/4 (PI))))) (* -1 (log f))) (PI))))
(* 4 (/ (+ (log (/ 2 (- (* 1/4 (PI)) (* -1/4 (PI))))) (* -1 (log f))) (PI)))
(+ (* 2 (/ (* f (* (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI)))))) (- (* 1/4 (PI)) (* -1/4 (PI))))) (PI))) (* 4 (/ (+ (log (/ 2 (- (* 1/4 (PI)) (* -1/4 (PI))))) (* -1 (log f))) (PI))))
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(+ (* 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 (/ 4 (PI))) (log f)) (PI)))
(- (log (/ 4 (PI))) (log f))
(* -4 (/ (+ (log f) (log (* 1/4 (PI)))) (PI)))
(+ (* -8 (/ (* f (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2)))) (pow (PI) 2))) (* -4 (/ (+ (log f) (log (* 1/4 (PI)))) (PI))))
(+ (* -4 (/ (+ (log f) (log (* 1/4 (PI)))) (PI))) (* f (+ (* -8 (/ (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) (pow (PI) 2))) (* -2 (/ (* f (+ (* -4 (/ (pow (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) 2) (pow (PI) 2))) (* 8 (/ (- (* 1/2 (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (+ (* -1/128 (pow (PI) 3)) (* 1/192 (pow (PI) 3))))) (* 1/128 (pow (PI) 3))) (PI))))) (PI))))))
(+ (* -4 (/ (+ (log f) (log (* 1/4 (PI)))) (PI))) (* f (+ (* -8 (/ (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) (pow (PI) 2))) (* f (+ (* -2 (/ (+ (* -4 (/ (pow (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) 2) (pow (PI) 2))) (* 8 (/ (- (* 1/2 (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (+ (* -1/128 (pow (PI) 3)) (* 1/192 (pow (PI) 3))))) (* 1/128 (pow (PI) 3))) (PI)))) (PI))) (* -2/3 (/ (* f (+ (* -48 (/ (* (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) (- (* 1/2 (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (+ (* -1/128 (pow (PI) 3)) (* 1/192 (pow (PI) 3))))) (* 1/128 (pow (PI) 3)))) (pow (PI) 2))) (+ (* 16 (/ (pow (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) 3) (pow (PI) 3))) (* 24 (/ (- (* 1/2 (+ (* -1/4 (* (PI) (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (+ (* -1/128 (pow (PI) 3)) (* 1/384 (pow (PI) 3)))))) (+ (* -1/32 (* (pow (PI) 2) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (+ (* -1/1536 (pow (PI) 4)) (* 1/3072 (pow (PI) 4)))))) (+ (* -1/8 (* (PI) (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (* -1/128 (pow (PI) 3))))) (* 1/64 (* (pow (PI) 2) (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))))))) (PI)))))) (PI))))))))
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(/ 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)
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(/ 4 (* f (PI)))
(* 2 (* (sqrt (/ 1 (PI))) (+ (log f) (log (* 1/4 (PI))))))
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(/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))
(* -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 (/ 4 (PI))) (* -1 (log (/ 1 f)))) (PI)))
(- (log (/ 4 (PI))) (* -1 (log (/ 1 f))))
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(* -1 (* (sqrt (/ 1 (PI))) (log (/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI))))))))))
(* -1 (log (/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 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)))))))
(* 2 (* (sqrt (/ 1 (PI))) (log (/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI))))))))))
(* -4 (/ (- (log (/ 4 (PI))) (+ (log -1) (* -1 (log (/ -1 f))))) (PI)))
(- (log (/ 4 (PI))) (+ (log -1) (* -1 (log (/ -1 f)))))
Calls

3 calls:

TimeVariablePointExpression
65.0ms
f
@0
((/ (log (tanh (* f (* 1/4 (PI))))) (* 1/4 (PI))) (log (tanh (* f (* 1/4 (PI))))) (tanh (* f (* 1/4 (PI)))) (* 1/4 (PI)) (/ (PI) 4) (/ 1 (/ (PI) 4)) (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))))) (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (* (- (log (/ 4 (PI))) (log f)) (/ -4 (PI))) (- (log (/ 4 (PI))) (log f)) (log (/ 4 (PI))) (* (/ (neg (log (tanh (* f (* 1/4 (PI)))))) (sqrt (PI))) (/ 4 (sqrt (PI)))) (neg (* (/ (neg (log (tanh (* f (* 1/4 (PI)))))) (sqrt (PI))) (/ 4 (sqrt (PI))))) (/ (neg (log (tanh (* f (* 1/4 (PI)))))) (sqrt (PI))) (neg (log (tanh (* f (* 1/4 (PI)))))) (pow (/ 4 (PI)) 1/2) (* (pow (/ 4 (PI)) 1/2) (* (pow (/ 4 (PI)) 1/2) (log (tanh (* f (* 1/4 (PI))))))) (/ 4 (PI)) (PI) (* f (* 1/4 (PI))) (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/ (/ 4 (PI)) f) (sqrt (PI)) (* (pow (/ 4 (PI)) 1/2) (log (tanh (* f (* 1/4 (PI)))))))
58.0ms
f
@-inf
((/ (log (tanh (* f (* 1/4 (PI))))) (* 1/4 (PI))) (log (tanh (* f (* 1/4 (PI))))) (tanh (* f (* 1/4 (PI)))) (* 1/4 (PI)) (/ (PI) 4) (/ 1 (/ (PI) 4)) (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))))) (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (* (- (log (/ 4 (PI))) (log f)) (/ -4 (PI))) (- (log (/ 4 (PI))) (log f)) (log (/ 4 (PI))) (* (/ (neg (log (tanh (* f (* 1/4 (PI)))))) (sqrt (PI))) (/ 4 (sqrt (PI)))) (neg (* (/ (neg (log (tanh (* f (* 1/4 (PI)))))) (sqrt (PI))) (/ 4 (sqrt (PI))))) (/ (neg (log (tanh (* f (* 1/4 (PI)))))) (sqrt (PI))) (neg (log (tanh (* f (* 1/4 (PI)))))) (pow (/ 4 (PI)) 1/2) (* (pow (/ 4 (PI)) 1/2) (* (pow (/ 4 (PI)) 1/2) (log (tanh (* f (* 1/4 (PI))))))) (/ 4 (PI)) (PI) (* f (* 1/4 (PI))) (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/ (/ 4 (PI)) f) (sqrt (PI)) (* (pow (/ 4 (PI)) 1/2) (log (tanh (* f (* 1/4 (PI)))))))
50.0ms
f
@inf
((/ (log (tanh (* f (* 1/4 (PI))))) (* 1/4 (PI))) (log (tanh (* f (* 1/4 (PI))))) (tanh (* f (* 1/4 (PI)))) (* 1/4 (PI)) (/ (PI) 4) (/ 1 (/ (PI) 4)) (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))))) (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (* (- (log (/ 4 (PI))) (log f)) (/ -4 (PI))) (- (log (/ 4 (PI))) (log f)) (log (/ 4 (PI))) (* (/ (neg (log (tanh (* f (* 1/4 (PI)))))) (sqrt (PI))) (/ 4 (sqrt (PI)))) (neg (* (/ (neg (log (tanh (* f (* 1/4 (PI)))))) (sqrt (PI))) (/ 4 (sqrt (PI))))) (/ (neg (log (tanh (* f (* 1/4 (PI)))))) (sqrt (PI))) (neg (log (tanh (* f (* 1/4 (PI)))))) (pow (/ 4 (PI)) 1/2) (* (pow (/ 4 (PI)) 1/2) (* (pow (/ 4 (PI)) 1/2) (log (tanh (* f (* 1/4 (PI))))))) (/ 4 (PI)) (PI) (* f (* 1/4 (PI))) (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/ (/ 4 (PI)) f) (sqrt (PI)) (* (pow (/ 4 (PI)) 1/2) (log (tanh (* f (* 1/4 (PI)))))))

simplify115.0ms (0.8%)

Memory
14.5MiB live, 125.3MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03743177
111992485
251771856
084481739
Stop Event
iter limit
node limit
Counts
60 → 60
Calls
Call 1
Inputs
(* 4 (/ (+ (log f) (log (* 1/4 (PI)))) (PI)))
(+ (* 4 (/ (+ (log f) (log (* 1/4 (PI)))) (PI))) (* 8 (/ (* f (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2)))) (pow (PI) 2))))
(+ (* 4 (/ (+ (log f) (log (* 1/4 (PI)))) (PI))) (* f (+ (* 2 (/ (* f (+ (* -4 (/ (pow (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) 2) (pow (PI) 2))) (* 8 (/ (- (* 1/2 (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (+ (* -1/128 (pow (PI) 3)) (* 1/192 (pow (PI) 3))))) (* 1/128 (pow (PI) 3))) (PI))))) (PI))) (* 8 (/ (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) (pow (PI) 2))))))
(+ (* 4 (/ (+ (log f) (log (* 1/4 (PI)))) (PI))) (* f (+ (* 8 (/ (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) (pow (PI) 2))) (* f (+ (* 2/3 (/ (* f (+ (* -48 (/ (* (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) (- (* 1/2 (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (+ (* -1/128 (pow (PI) 3)) (* 1/192 (pow (PI) 3))))) (* 1/128 (pow (PI) 3)))) (pow (PI) 2))) (+ (* 16 (/ (pow (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) 3) (pow (PI) 3))) (* 24 (/ (- (* 1/2 (+ (* -1/4 (* (PI) (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (+ (* -1/128 (pow (PI) 3)) (* 1/384 (pow (PI) 3)))))) (+ (* -1/32 (* (pow (PI) 2) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (+ (* -1/1536 (pow (PI) 4)) (* 1/3072 (pow (PI) 4)))))) (+ (* -1/8 (* (PI) (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (* -1/128 (pow (PI) 3))))) (* 1/64 (* (pow (PI) 2) (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))))))) (PI)))))) (PI))) (* 2 (/ (+ (* -4 (/ (pow (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) 2) (pow (PI) 2))) (* 8 (/ (- (* 1/2 (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (+ (* -1/128 (pow (PI) 3)) (* 1/192 (pow (PI) 3))))) (* 1/128 (pow (PI) 3))) (PI)))) (PI))))))))
(+ (log f) (log (* 1/4 (PI))))
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rewrite214.0ms (1.5%)

Memory
6.3MiB live, 282.7MiB allocated
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
048331
076215
1296211
21851211
08657211
Stop Event
iter limit
node limit
iter limit
Counts
25 → 1 503
Calls
Call 1
Inputs
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(neg.f64 (log.f64 (tanh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64))))))
(pow.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) #s(literal 1/2 binary64))
(*.f64 (pow.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) #s(literal 1/2 binary64)) (*.f64 (pow.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) #s(literal 1/2 binary64)) (log.f64 (tanh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))))))
(/.f64 #s(literal 4 binary64) (PI.f64))
(PI.f64)
(*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))
#s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f))
(/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f)
(sqrt.f64 (PI.f64))
(*.f64 (pow.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) #s(literal 1/2 binary64)) (log.f64 (tanh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64))))))
Outputs
(*.f64 (/.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 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (PI.f64)) #s(literal 4 binary64))
(*.f64 (*.f64 (/.f64 #s(literal -4 binary64) (PI.f64)) #s(literal -1 binary64)) (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))))
(*.f64 (*.f64 (*.f64 (/.f64 #s(literal 2 binary64) (sqrt.f64 (PI.f64))) (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))) (pow.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) #s(literal 1/4 binary64))) (pow.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) #s(literal 1/4 binary64)))
(*.f64 (*.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (pow.f64 (PI.f64) #s(literal -1 binary64))) #s(literal 4 binary64))
(*.f64 (*.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 (/.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (sqrt.f64 (PI.f64))) #s(literal 4 binary64)) (pow.f64 (PI.f64) #s(literal -1/2 binary64)))
(*.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 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) #s(literal 4 binary64)) (pow.f64 (PI.f64) #s(literal -1 binary64)))
(*.f64 (/.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 #s(literal -4 binary64) (sqrt.f64 (PI.f64))) (/.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (neg.f64 (sqrt.f64 (PI.f64)))))
(*.f64 (pow.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) #s(literal 1/4 binary64)) (*.f64 (pow.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) #s(literal 1/4 binary64)) (*.f64 (/.f64 #s(literal 2 binary64) (sqrt.f64 (PI.f64))) (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))))))
(*.f64 (pow.f64 (PI.f64) #s(literal -1 binary64)) (*.f64 #s(literal 4 binary64) (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))))
(*.f64 (pow.f64 (PI.f64) #s(literal -1 binary64)) (*.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) #s(literal 4 binary64)))
(*.f64 #s(literal -1 binary64) (/.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (*.f64 #s(literal -1/4 binary64) (PI.f64))))
(*.f64 (*.f64 (/.f64 #s(literal 2 binary64) (sqrt.f64 (PI.f64))) (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))) (/.f64 #s(literal 2 binary64) (sqrt.f64 (PI.f64))))
(*.f64 (/.f64 #s(literal 2 binary64) (sqrt.f64 (PI.f64))) (*.f64 (/.f64 #s(literal 2 binary64) (sqrt.f64 (PI.f64))) (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))))
(*.f64 (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64))) (/.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (sqrt.f64 (PI.f64))))
(*.f64 (/.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (neg.f64 (sqrt.f64 (PI.f64)))) (/.f64 #s(literal -4 binary64) (sqrt.f64 (PI.f64))))
(*.f64 (neg.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))) (*.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (/.f64 #s(literal -4 binary64) (sqrt.f64 (PI.f64)))))
(*.f64 (neg.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))) (/.f64 #s(literal -4 binary64) (PI.f64)))
(*.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 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (*.f64 #s(literal -1/4 binary64) (PI.f64))) #s(literal -1 binary64))
(*.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (pow.f64 (pow.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))))
(*.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))))
(*.f64 #s(literal 4 binary64) (pow.f64 (/.f64 (PI.f64) (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))) #s(literal -1 binary64)))
(*.f64 #s(literal 4 binary64) (*.f64 (pow.f64 (PI.f64) #s(literal -1 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)))
(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 (-.f64 (pow.f64 (/.f64 #s(literal 0 binary64) (*.f64 #s(literal -1/4 binary64) (PI.f64))) #s(literal 3 binary64)) (pow.f64 (/.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (*.f64 #s(literal -1/4 binary64) (PI.f64))) #s(literal 3 binary64))) (fma.f64 (/.f64 #s(literal 0 binary64) (*.f64 #s(literal -1/4 binary64) (PI.f64))) (/.f64 #s(literal 0 binary64) (*.f64 #s(literal -1/4 binary64) (PI.f64))) (+.f64 (pow.f64 (/.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (*.f64 #s(literal -1/4 binary64) (PI.f64))) #s(literal 2 binary64)) (*.f64 (/.f64 #s(literal 0 binary64) (*.f64 #s(literal -1/4 binary64) (PI.f64))) (/.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (*.f64 #s(literal -1/4 binary64) (PI.f64)))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (log.f64 (*.f64 (cosh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)) #s(literal 2 binary64))) (*.f64 #s(literal -1/4 binary64) (PI.f64))) #s(literal 3 binary64)) (pow.f64 (/.f64 (log.f64 (/.f64 #s(literal 1/2 binary64) (sinh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))) (*.f64 (PI.f64) #s(literal 1/4 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (log.f64 (*.f64 (cosh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)) #s(literal 2 binary64))) (*.f64 #s(literal -1/4 binary64) (PI.f64))) (/.f64 (log.f64 (*.f64 (cosh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)) #s(literal 2 binary64))) (*.f64 #s(literal -1/4 binary64) (PI.f64))) (fma.f64 (/.f64 (log.f64 (/.f64 #s(literal 1/2 binary64) (sinh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))) (*.f64 (PI.f64) #s(literal 1/4 binary64))) (/.f64 (log.f64 (/.f64 #s(literal 1/2 binary64) (sinh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))) (*.f64 (PI.f64) #s(literal 1/4 binary64))) (*.f64 (/.f64 (log.f64 (*.f64 (cosh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)) #s(literal 2 binary64))) (*.f64 #s(literal -1/4 binary64) (PI.f64))) (/.f64 (log.f64 (/.f64 #s(literal 1/2 binary64) (sinh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))) (*.f64 (PI.f64) #s(literal 1/4 binary64)))))))
(/.f64 (+.f64 #s(literal 0 binary64) (pow.f64 (*.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (-.f64 (pow.f64 (/.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (*.f64 #s(literal -1/4 binary64) (PI.f64))) #s(literal 2 binary64)) (*.f64 #s(literal 0 binary64) (*.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))))))))
(/.f64 (neg.f64 (/.f64 (*.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) #s(literal 4 binary64)) (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)))) (neg.f64 (cbrt.f64 (PI.f64))))
(/.f64 (neg.f64 (/.f64 (*.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) #s(literal 4 binary64)) (sqrt.f64 (PI.f64)))) (neg.f64 (sqrt.f64 (PI.f64))))
(/.f64 (neg.f64 (/.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (PI.f64))) #s(literal -1/4 binary64))
(/.f64 (neg.f64 (*.f64 #s(literal -4 binary64) (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))))) (neg.f64 (neg.f64 (PI.f64))))
(/.f64 (neg.f64 (*.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (/.f64 #s(literal -4 binary64) (sqrt.f64 (PI.f64))))) (neg.f64 (neg.f64 (sqrt.f64 (PI.f64)))))
(/.f64 (neg.f64 (*.f64 (neg.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))) (/.f64 #s(literal -4 binary64) (sqrt.f64 (PI.f64))))) (neg.f64 (sqrt.f64 (PI.f64))))
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (/.f64 #s(literal -4 binary64) (sqrt.f64 (PI.f64))))) (neg.f64 (/.f64 (neg.f64 (sqrt.f64 (PI.f64))) (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))))))
(/.f64 (neg.f64 (*.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) #s(literal -4 binary64))) (neg.f64 (neg.f64 (PI.f64))))
(/.f64 (neg.f64 (*.f64 (/.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (sqrt.f64 (PI.f64))) #s(literal -4 binary64))) (neg.f64 (neg.f64 (sqrt.f64 (PI.f64)))))
(/.f64 (neg.f64 (*.f64 (/.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (sqrt.f64 (PI.f64))) #s(literal 1 binary64))) (neg.f64 (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/4 binary64))))
(/.f64 (neg.f64 (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (neg.f64 (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/4 binary64)))))) (neg.f64 (sqrt.f64 (PI.f64))))
(/.f64 (neg.f64 (*.f64 #s(literal -1 binary64) (*.f64 (neg.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))) #s(literal 4 binary64)))) (neg.f64 (PI.f64)))
(/.f64 (neg.f64 (*.f64 #s(literal 4 binary64) (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))))) (neg.f64 (PI.f64)))
(/.f64 (neg.f64 (*.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) #s(literal 1 binary64))) (*.f64 #s(literal -1/4 binary64) (PI.f64)))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (/.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (*.f64 #s(literal -1/4 binary64) (PI.f64))) #s(literal 2 binary64)))) (neg.f64 (+.f64 #s(literal 0 binary64) (/.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (*.f64 #s(literal -1/4 binary64) (PI.f64))))))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (/.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (*.f64 #s(literal -1/4 binary64) (PI.f64))) #s(literal 3 binary64)))) (neg.f64 (+.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (/.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (*.f64 #s(literal -1/4 binary64) (PI.f64))) #s(literal 2 binary64)) (*.f64 #s(literal 0 binary64) (/.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (*.f64 #s(literal -1/4 binary64) (PI.f64))))))))
(/.f64 (neg.f64 (neg.f64 (/.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (neg.f64 (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/4 binary64)))))) (neg.f64 (sqrt.f64 (PI.f64))))
(/.f64 (neg.f64 (neg.f64 (*.f64 (neg.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))) #s(literal 4 binary64)))) (neg.f64 (PI.f64)))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (cbrt.f64 (PI.f64))) (*.f64 (*.f64 #s(literal -1/4 binary64) (PI.f64)) (/.f64 (*.f64 (neg.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))) #s(literal 4 binary64)) (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64))))) (*.f64 (*.f64 #s(literal -1/4 binary64) (PI.f64)) (cbrt.f64 (PI.f64))))
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(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (/.f64 (neg.f64 (sqrt.f64 (PI.f64))) (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))))) (*.f64 (*.f64 #s(literal -1/4 binary64) (PI.f64)) (*.f64 (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64))) #s(literal 1 binary64)))) (*.f64 (*.f64 #s(literal -1/4 binary64) (PI.f64)) (/.f64 (neg.f64 (sqrt.f64 (PI.f64))) (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))))))
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(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/4 binary64))) (*.f64 (*.f64 #s(literal -1/4 binary64) (PI.f64)) (*.f64 (/.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (neg.f64 (sqrt.f64 (PI.f64)))) #s(literal 1 binary64)))) (*.f64 (*.f64 #s(literal -1/4 binary64) (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/4 binary64))))
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(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (PI.f64)) (*.f64 (*.f64 #s(literal -1/4 binary64) (PI.f64)) (*.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) #s(literal -4 binary64)))) (*.f64 (*.f64 #s(literal -1/4 binary64) (PI.f64)) (PI.f64)))
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(/.f64 (*.f64 #s(literal 1 binary64) f) (/.f64 #s(literal 4 binary64) (PI.f64)))
(/.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 f #s(literal 1 binary64)) (/.f64 #s(literal 4 binary64) (PI.f64)))
(/.f64 (neg.f64 (*.f64 (PI.f64) f)) #s(literal -4 binary64))
(/.f64 (neg.f64 (neg.f64 f)) (/.f64 #s(literal 4 binary64) (PI.f64)))
(/.f64 (*.f64 (neg.f64 (PI.f64)) f) #s(literal -4 binary64))
(/.f64 (*.f64 (PI.f64) f) #s(literal 4 binary64))
(/.f64 (neg.f64 f) (/.f64 #s(literal -4 binary64) (PI.f64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f)))
(/.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (PI.f64)) f) #s(literal -1 binary64))
(/.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) (/.f64 f (pow.f64 (PI.f64) #s(literal -1 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (PI.f64) #s(literal -1 binary64)) (/.f64 f #s(literal 4 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (*.f64 #s(literal 1 binary64) f)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (*.f64 f #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (/.f64 f #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f))
(/.f64 f (/.f64 #s(literal 4 binary64) (PI.f64)))
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 #s(literal -4 binary64) (PI.f64))) (/.f64 f (/.f64 #s(literal -4 binary64) (PI.f64))))
(+.f64 (log.f64 (pow.f64 (exp.f64 #s(literal 1/4 binary64)) (*.f64 (PI.f64) (/.f64 f #s(literal 2 binary64))))) (log.f64 (pow.f64 (exp.f64 #s(literal 1/4 binary64)) (*.f64 (PI.f64) (/.f64 f #s(literal 2 binary64))))))
(log.f64 (pow.f64 (pow.f64 (exp.f64 f) (PI.f64)) #s(literal 1/4 binary64)))
#s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f))
(*.f64 (pow.f64 (/.f64 f #s(literal -1 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal -4 binary64) (PI.f64)))
(*.f64 (pow.f64 (/.f64 f #s(literal -4 binary64)) #s(literal -1 binary64)) (pow.f64 (neg.f64 (PI.f64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) f) (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64))) #s(literal -1 binary64)) (pow.f64 (cbrt.f64 (PI.f64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) f) (sqrt.f64 (PI.f64))) #s(literal -1 binary64)) (pow.f64 (PI.f64) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) f) #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (PI.f64) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 f #s(literal 4 binary64)) #s(literal -1 binary64)) (pow.f64 (PI.f64) #s(literal -1 binary64)))
(*.f64 (pow.f64 (*.f64 #s(literal 1/4 binary64) f) #s(literal -1 binary64)) (pow.f64 (PI.f64) #s(literal -1 binary64)))
(*.f64 (pow.f64 (*.f64 (PI.f64) f) #s(literal -1 binary64)) #s(literal 4 binary64))
(*.f64 (pow.f64 f #s(literal -1 binary64)) (/.f64 #s(literal 4 binary64) (PI.f64)))
(*.f64 (pow.f64 (PI.f64) #s(literal -1 binary64)) (pow.f64 (/.f64 f #s(literal 4 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (PI.f64) #s(literal -1 binary64)) (pow.f64 (*.f64 #s(literal 1/4 binary64) f) #s(literal -1 binary64)))
(*.f64 (pow.f64 (PI.f64) #s(literal -1 binary64)) (/.f64 #s(literal 4 binary64) f))
(*.f64 (pow.f64 (PI.f64) #s(literal -1 binary64)) (*.f64 #s(literal 4 binary64) (pow.f64 f #s(literal -1 binary64))))
(*.f64 (/.f64 #s(literal -4 binary64) (PI.f64)) (pow.f64 (neg.f64 f) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (pow.f64 f #s(literal -1 binary64)))
(*.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f))
(*.f64 #s(literal 4 binary64) (/.f64 (pow.f64 (PI.f64) #s(literal -1 binary64)) f))
(*.f64 #s(literal 4 binary64) (pow.f64 (*.f64 (PI.f64) f) #s(literal -1 binary64)))
(pow.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f) #s(literal -1 binary64))
(/.f64 (neg.f64 (/.f64 #s(literal 4 binary64) f)) (neg.f64 (PI.f64)))
(/.f64 (neg.f64 (*.f64 #s(literal -1 binary64) (pow.f64 f #s(literal -1 binary64)))) (*.f64 (PI.f64) #s(literal 1/4 binary64)))
(/.f64 (neg.f64 (*.f64 #s(literal -4 binary64) (pow.f64 f #s(literal -1 binary64)))) (neg.f64 (neg.f64 (PI.f64))))
(/.f64 (neg.f64 (*.f64 #s(literal 4 binary64) (pow.f64 f #s(literal -1 binary64)))) (neg.f64 (PI.f64)))
(/.f64 (neg.f64 (pow.f64 f #s(literal -1 binary64))) (*.f64 #s(literal -1/4 binary64) (PI.f64)))
(/.f64 (/.f64 #s(literal 4 binary64) f) (PI.f64))
(/.f64 (*.f64 #s(literal -1 binary64) (pow.f64 f #s(literal -1 binary64))) (*.f64 #s(literal -1/4 binary64) (PI.f64)))
(/.f64 (*.f64 #s(literal -4 binary64) (pow.f64 f #s(literal -1 binary64))) (neg.f64 (PI.f64)))
(/.f64 (*.f64 #s(literal 4 binary64) (pow.f64 f #s(literal -1 binary64))) (PI.f64))
(/.f64 (pow.f64 f #s(literal -1 binary64)) (*.f64 (PI.f64) #s(literal 1/4 binary64)))
(/.f64 #s(literal -1 binary64) (*.f64 (*.f64 #s(literal -1/4 binary64) (PI.f64)) f))
(/.f64 (/.f64 #s(literal -4 binary64) (PI.f64)) (neg.f64 (neg.f64 (neg.f64 f))))
(/.f64 (/.f64 #s(literal -4 binary64) (PI.f64)) (neg.f64 f))
(/.f64 #s(literal -4 binary64) (*.f64 f (neg.f64 (PI.f64))))
(/.f64 #s(literal -4 binary64) (neg.f64 (*.f64 (PI.f64) f)))
(/.f64 #s(literal -4 binary64) (*.f64 (neg.f64 (PI.f64)) f))
(/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (neg.f64 (neg.f64 f)))
(/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f)
(/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) f)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal -1/4 binary64) (PI.f64)) (*.f64 #s(literal -1 binary64) (pow.f64 f #s(literal -1 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (PI.f64)) (*.f64 #s(literal -4 binary64) (pow.f64 f #s(literal -1 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) (*.f64 #s(literal 4 binary64) (pow.f64 f #s(literal -1 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) (pow.f64 f #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (neg.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (PI.f64)) f)))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))
(/.f64 #s(literal 4 binary64) (neg.f64 (*.f64 f (neg.f64 (PI.f64)))))
(/.f64 #s(literal 4 binary64) (neg.f64 (neg.f64 (*.f64 (PI.f64) f))))
(/.f64 #s(literal 4 binary64) (neg.f64 (*.f64 (neg.f64 (PI.f64)) f)))
(/.f64 #s(literal 4 binary64) (*.f64 (PI.f64) f))
(neg.f64 (/.f64 (/.f64 #s(literal -4 binary64) (PI.f64)) f))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 f)) (/.f64 (/.f64 #s(literal -4 binary64) (PI.f64)) f))
(exp.f64 (*.f64 (log.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (pow.f64 (PI.f64) #s(literal 1/4 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 (PI.f64) #s(literal 1/4 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (PI.f64) #s(literal 1/6 binary64)) (cbrt.f64 (PI.f64)))
(*.f64 (pow.f64 (PI.f64) #s(literal 1/4 binary64)) (pow.f64 (PI.f64) #s(literal 1/4 binary64)))
(*.f64 (cbrt.f64 (PI.f64)) (fabs.f64 (pow.f64 (PI.f64) #s(literal 1/6 binary64))))
(*.f64 (cbrt.f64 (PI.f64)) (pow.f64 (pow.f64 (PI.f64) #s(literal 1/6 binary64)) #s(literal 1 binary64)))
(*.f64 (cbrt.f64 (PI.f64)) (pow.f64 (PI.f64) #s(literal 1/6 binary64)))
(*.f64 (sqrt.f64 (PI.f64)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64)))
(pow.f64 (pow.f64 (PI.f64) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/6 binary64))
(pow.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))
(pow.f64 (cbrt.f64 (PI.f64)) #s(literal 3/2 binary64))
(pow.f64 (sqrt.f64 (PI.f64)) #s(literal 1 binary64))
(pow.f64 (PI.f64) #s(literal 1/2 binary64))
(sqrt.f64 (PI.f64))
(fabs.f64 (neg.f64 (sqrt.f64 (PI.f64))))
(fabs.f64 (sqrt.f64 (PI.f64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (PI.f64))) #s(literal 1 binary64)))
(exp.f64 (log.f64 (sqrt.f64 (PI.f64))))
(*.f64 (*.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (pow.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) #s(literal 1/4 binary64))) (pow.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) #s(literal 1/4 binary64)) (*.f64 (pow.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) #s(literal 1/4 binary64)) (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))))
(*.f64 (/.f64 #s(literal 2 binary64) (sqrt.f64 (PI.f64))) (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))))
(*.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (/.f64 #s(literal 2 binary64) (sqrt.f64 (PI.f64))))

eval296.0ms (2.1%)

Memory
30.8MiB live, 486.2MiB allocated
Compiler

Compiled 73 751 to 7 680 computations (89.6% saved)

prune49.0ms (0.3%)

Memory
-13.6MiB live, 121.7MiB allocated
Pruning

14 alts after pruning (13 fresh and 1 done)

PrunedKeptTotal
New2 187122 199
Fresh617
Picked415
Done000
Total2 197142 211
Accuracy
100.0%
Counts
2 211 → 14
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.5%
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (PI.f64)) (*.f64 (*.f64 #s(literal -1/4 binary64) (PI.f64)) (*.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) #s(literal -4 binary64)))) (*.f64 (*.f64 #s(literal -1/4 binary64) (PI.f64)) (PI.f64)))
99.5%
(/.f64 (log.f64 (tanh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64))))) (*.f64 #s(literal 1/4 binary64) (PI.f64)))
97.8%
(/.f64 (log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64)))) (*.f64 #s(literal 1/4 binary64) (PI.f64)))
99.4%
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))))
97.7%
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal -1/4 binary64) (PI.f64)) (log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f)))))
97.6%
(neg.f64 (*.f64 (/.f64 (neg.f64 (log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64))))) (sqrt.f64 (PI.f64))) (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64)))))
96.3%
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))) #s(literal 4 binary64))) (log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f)))))
98.1%
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -2 binary64) (*.f64 (PI.f64) #s(literal 1/48 binary64)) (*.f64 #s(literal 1/8 binary64) (PI.f64))) f) f (/.f64 #s(literal 4 binary64) (PI.f64))) f)))))
97.3%
(neg.f64 (*.f64 (*.f64 (/.f64 #s(literal 2 binary64) (sqrt.f64 (PI.f64))) (/.f64 #s(literal 2 binary64) (sqrt.f64 (PI.f64)))) (log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f)))))
96.8%
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (/.f64 (/.f64 (*.f64 #s(literal -4 binary64) (log.f64 (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f))) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64))))
97.7%
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (-.f64 (/.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (*.f64 #s(literal -1/4 binary64) (PI.f64))) (/.f64 (log.f64 f) (*.f64 #s(literal -1/4 binary64) (PI.f64)))))
97.7%
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (-.f64 (/.f64 (log.f64 #s(literal 4 binary64)) (*.f64 #s(literal -1/4 binary64) (PI.f64))) (/.f64 (log.f64 (*.f64 (PI.f64) f)) (*.f64 #s(literal -1/4 binary64) (PI.f64)))))
97.6%
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (log.f64 (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f)))) (/.f64 #s(literal -4 binary64) (PI.f64))))
97.7%
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (*.f64 (neg.f64 (log.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (/.f64 #s(literal -4 binary64) (PI.f64))))
Compiler

Compiled 1 063 to 596 computations (43.9% saved)

simplify126.0ms (0.9%)

Memory
16.7MiB live, 132.8MiB allocated
Algorithm
egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(PI.f64)
cost-diff0
(*.f64 (PI.f64) #s(literal 1/4 binary64))
cost-diff0
(/.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))))
cost-diff704
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))))
cost-diff0
(/.f64 #s(literal 2 binary64) (sqrt.f64 (PI.f64)))
cost-diff0
(*.f64 (*.f64 (/.f64 #s(literal 2 binary64) (sqrt.f64 (PI.f64))) (/.f64 #s(literal 2 binary64) (sqrt.f64 (PI.f64)))) (log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f))))
cost-diff128
(neg.f64 (*.f64 (*.f64 (/.f64 #s(literal 2 binary64) (sqrt.f64 (PI.f64))) (/.f64 #s(literal 2 binary64) (sqrt.f64 (PI.f64)))) (log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f)))))
cost-diff2304
(*.f64 (/.f64 #s(literal 2 binary64) (sqrt.f64 (PI.f64))) (/.f64 #s(literal 2 binary64) (sqrt.f64 (PI.f64))))
cost-diff0
(/.f64 #s(literal 1 binary64) (log.f64 (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f)))
cost-diff0
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (log.f64 (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f)))) (/.f64 #s(literal -4 binary64) (PI.f64)))
cost-diff0
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (log.f64 (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f)))) (/.f64 #s(literal -4 binary64) (PI.f64))))
cost-diff1408
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (log.f64 (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f))))
cost-diff0
(*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64))
cost-diff0
#s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64)))
cost-diff0
(log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64))))
cost-diff0
(/.f64 (log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64)))) (*.f64 #s(literal 1/4 binary64) (PI.f64)))
cost-diff64
(-.f64 (*.f64 #s(literal 0 binary64) (PI.f64)) (*.f64 (*.f64 #s(literal -1/4 binary64) (PI.f64)) (*.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) #s(literal -4 binary64))))
cost-diff320
(*.f64 #s(literal 0 binary64) (PI.f64))
cost-diff640
(*.f64 (*.f64 #s(literal -1/4 binary64) (PI.f64)) (*.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) #s(literal -4 binary64)))
cost-diff768
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (PI.f64)) (*.f64 (*.f64 #s(literal -1/4 binary64) (PI.f64)) (*.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) #s(literal -4 binary64)))) (*.f64 (*.f64 #s(literal -1/4 binary64) (PI.f64)) (PI.f64)))
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
059502
092486
1224463
2552439
31956431
44686431
08286431
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (PI.f64)) (*.f64 (*.f64 #s(literal -1/4 binary64) (PI.f64)) (*.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) #s(literal -4 binary64)))) (*.f64 (*.f64 #s(literal -1/4 binary64) (PI.f64)) (PI.f64)))
(-.f64 (*.f64 #s(literal 0 binary64) (PI.f64)) (*.f64 (*.f64 #s(literal -1/4 binary64) (PI.f64)) (*.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) #s(literal -4 binary64))))
(*.f64 #s(literal 0 binary64) (PI.f64))
#s(literal 0 binary64)
(PI.f64)
(*.f64 (*.f64 #s(literal -1/4 binary64) (PI.f64)) (*.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) #s(literal -4 binary64)))
(*.f64 #s(literal -1/4 binary64) (PI.f64))
#s(literal -1/4 binary64)
(*.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) #s(literal -4 binary64))
(log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))
(tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))
(*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)
(*.f64 (PI.f64) #s(literal 1/4 binary64))
#s(literal 1/4 binary64)
f
#s(literal -4 binary64)
(*.f64 (*.f64 #s(literal -1/4 binary64) (PI.f64)) (PI.f64))
(/.f64 (log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64)))) (*.f64 #s(literal 1/4 binary64) (PI.f64)))
(log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64))))
#s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64)))
(*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64))
(*.f64 (PI.f64) f)
(PI.f64)
f
#s(literal 1/4 binary64)
(*.f64 #s(literal 1/4 binary64) (PI.f64))
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (log.f64 (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f)))) (/.f64 #s(literal -4 binary64) (PI.f64))))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (log.f64 (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f)))) (/.f64 #s(literal -4 binary64) (PI.f64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (log.f64 (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f))))
#s(literal 1 binary64)
(/.f64 #s(literal 1 binary64) (log.f64 (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f)))
(log.f64 (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f))
(/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f)
(/.f64 #s(literal 4 binary64) (PI.f64))
#s(literal 4 binary64)
(PI.f64)
f
(/.f64 #s(literal -4 binary64) (PI.f64))
#s(literal -4 binary64)
(neg.f64 (*.f64 (*.f64 (/.f64 #s(literal 2 binary64) (sqrt.f64 (PI.f64))) (/.f64 #s(literal 2 binary64) (sqrt.f64 (PI.f64)))) (log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f)))))
(*.f64 (*.f64 (/.f64 #s(literal 2 binary64) (sqrt.f64 (PI.f64))) (/.f64 #s(literal 2 binary64) (sqrt.f64 (PI.f64)))) (log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f))))
(*.f64 (/.f64 #s(literal 2 binary64) (sqrt.f64 (PI.f64))) (/.f64 #s(literal 2 binary64) (sqrt.f64 (PI.f64))))
(/.f64 #s(literal 2 binary64) (sqrt.f64 (PI.f64)))
#s(literal 2 binary64)
(sqrt.f64 (PI.f64))
(PI.f64)
(log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f)))
#s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f))
(/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f)
(/.f64 #s(literal 4 binary64) (PI.f64))
#s(literal 4 binary64)
f
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))))
#s(literal 1 binary64)
(/.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))))
(*.f64 (PI.f64) #s(literal 1/4 binary64))
(PI.f64)
#s(literal 1/4 binary64)
(log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))
(tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))
(*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)
f
Outputs
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (PI.f64)) (*.f64 (*.f64 #s(literal -1/4 binary64) (PI.f64)) (*.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) #s(literal -4 binary64)))) (*.f64 (*.f64 #s(literal -1/4 binary64) (PI.f64)) (PI.f64)))
(*.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (log.f64 (tanh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64))))))
(-.f64 (*.f64 #s(literal 0 binary64) (PI.f64)) (*.f64 (*.f64 #s(literal -1/4 binary64) (PI.f64)) (*.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) #s(literal -4 binary64))))
(*.f64 (neg.f64 (PI.f64)) (log.f64 (tanh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64))))))
(*.f64 #s(literal 0 binary64) (PI.f64))
#s(literal 0 binary64)
#s(literal 0 binary64)
(PI.f64)
(*.f64 (*.f64 #s(literal -1/4 binary64) (PI.f64)) (*.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) #s(literal -4 binary64)))
(*.f64 (log.f64 (tanh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64))))) (PI.f64))
(*.f64 #s(literal -1/4 binary64) (PI.f64))
#s(literal -1/4 binary64)
(*.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) #s(literal -4 binary64))
(*.f64 #s(literal -4 binary64) (log.f64 (tanh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64))))))
(log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))
(log.f64 (tanh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))))
(tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))
(tanh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64))))
(*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)
(*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))
(*.f64 (PI.f64) #s(literal 1/4 binary64))
(*.f64 #s(literal 1/4 binary64) (PI.f64))
#s(literal 1/4 binary64)
f
#s(literal -4 binary64)
(*.f64 (*.f64 #s(literal -1/4 binary64) (PI.f64)) (PI.f64))
(/.f64 (log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64)))) (*.f64 #s(literal 1/4 binary64) (PI.f64)))
(/.f64 (log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64))))) (*.f64 #s(literal 1/4 binary64) (PI.f64)))
(log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64))))
(log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))))
#s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64)))
#s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64))))
(*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64))
(*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))
(*.f64 (PI.f64) f)
(*.f64 f (PI.f64))
(PI.f64)
f
#s(literal 1/4 binary64)
(*.f64 #s(literal 1/4 binary64) (PI.f64))
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (log.f64 (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f)))) (/.f64 #s(literal -4 binary64) (PI.f64))))
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (*.f64 (/.f64 #s(literal -4 binary64) (PI.f64)) (log.f64 (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f))))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (log.f64 (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f)))) (/.f64 #s(literal -4 binary64) (PI.f64)))
(*.f64 (/.f64 #s(literal -4 binary64) (PI.f64)) (log.f64 (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (log.f64 (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f))))
(log.f64 (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f))
#s(literal 1 binary64)
(/.f64 #s(literal 1 binary64) (log.f64 (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f)))
(log.f64 (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f))
(/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f)
(/.f64 #s(literal 4 binary64) (PI.f64))
#s(literal 4 binary64)
(PI.f64)
f
(/.f64 #s(literal -4 binary64) (PI.f64))
#s(literal -4 binary64)
(neg.f64 (*.f64 (*.f64 (/.f64 #s(literal 2 binary64) (sqrt.f64 (PI.f64))) (/.f64 #s(literal 2 binary64) (sqrt.f64 (PI.f64)))) (log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f)))))
(*.f64 (log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f))) (/.f64 #s(literal -4 binary64) (PI.f64)))
(*.f64 (*.f64 (/.f64 #s(literal 2 binary64) (sqrt.f64 (PI.f64))) (/.f64 #s(literal 2 binary64) (sqrt.f64 (PI.f64)))) (log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f))))
(*.f64 (log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f))) (/.f64 #s(literal 4 binary64) (PI.f64)))
(*.f64 (/.f64 #s(literal 2 binary64) (sqrt.f64 (PI.f64))) (/.f64 #s(literal 2 binary64) (sqrt.f64 (PI.f64))))
(/.f64 #s(literal 4 binary64) (PI.f64))
(/.f64 #s(literal 2 binary64) (sqrt.f64 (PI.f64)))
#s(literal 2 binary64)
(sqrt.f64 (PI.f64))
(PI.f64)
(log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f)))
#s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f))
(/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f)
(/.f64 #s(literal 4 binary64) (PI.f64))
#s(literal 4 binary64)
f
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))))
(*.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (log.f64 (tanh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64))))))
#s(literal 1 binary64)
(/.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))))
(/.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (log.f64 (tanh.f64 (*.f64 f (*.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 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))
(log.f64 (tanh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))))
(tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))
(tanh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64))))
(*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)
(*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))
f

localize358.0ms (2.5%)

Memory
-2.4MiB live, 345.3MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0.234375
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))))
accuracy0.26953125
(*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)
accuracy0.28515625
(/.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))))
accuracy0.7265448115444642
(PI.f64)
accuracy0.41294363735756123
#s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f))
accuracy0.7265448115444642
(PI.f64)
accuracy0.98828125
(*.f64 (/.f64 #s(literal 2 binary64) (sqrt.f64 (PI.f64))) (/.f64 #s(literal 2 binary64) (sqrt.f64 (PI.f64))))
accuracy0.98828125
(sqrt.f64 (PI.f64))
accuracy0.36393084906365336
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (log.f64 (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f)))) (/.f64 #s(literal -4 binary64) (PI.f64))))
accuracy0.40625
(/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f)
accuracy0.4140625
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (log.f64 (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f)))) (/.f64 #s(literal -4 binary64) (PI.f64)))
accuracy0.7265448115444642
(PI.f64)
accuracy0.26953125
(*.f64 (PI.f64) f)
accuracy0.3203125
(/.f64 (log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64)))) (*.f64 #s(literal 1/4 binary64) (PI.f64)))
accuracy0.41335738683653217
#s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64)))
accuracy0.7265448115444642
(PI.f64)
accuracy0.26953125
(*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)
accuracy0.3125
(*.f64 (*.f64 #s(literal -1/4 binary64) (PI.f64)) (*.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) #s(literal -4 binary64)))
accuracy0.4733200195368841
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (PI.f64)) (*.f64 (*.f64 #s(literal -1/4 binary64) (PI.f64)) (*.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) #s(literal -4 binary64)))) (*.f64 (*.f64 #s(literal -1/4 binary64) (PI.f64)) (PI.f64)))
accuracy0.7265448115444642
(PI.f64)
Samples
275.0ms247×1valid
28.0ms4exit
2.0ms0valid
Compiler

Compiled 949 to 117 computations (87.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 263.0ms
adjust: 83.0ms (31.6% of total)
ival-div: 46.0ms (17.5% of total)
ival-mult: 46.0ms (17.5% of total)
ival-log: 42.0ms (16% of total)
ival-exp: 18.0ms (6.9% of total)
ival-tanh: 8.0ms (3% of total)
ival-neg: 6.0ms (2.3% of total)
ival-sub: 5.0ms (1.9% of total)
ival-pi: 3.0ms (1.1% of total)
ival-sqrt: 3.0ms (1.1% of total)
ival-add: 2.0ms (0.8% of total)
exact: 1.0ms (0.4% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series100.0ms (0.7%)

Memory
25.7MiB live, 100.3MiB allocated
Counts
25 → 56
Calls
Call 1
Inputs
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (PI.f64)) (*.f64 (*.f64 #s(literal -1/4 binary64) (PI.f64)) (*.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) #s(literal -4 binary64)))) (*.f64 (*.f64 #s(literal -1/4 binary64) (PI.f64)) (PI.f64)))
(*.f64 (*.f64 #s(literal -1/4 binary64) (PI.f64)) (*.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) #s(literal -4 binary64)))
(*.f64 #s(literal 0 binary64) (PI.f64))
(-.f64 (*.f64 #s(literal 0 binary64) (PI.f64)) (*.f64 (*.f64 #s(literal -1/4 binary64) (PI.f64)) (*.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) #s(literal -4 binary64))))
(/.f64 (log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64)))) (*.f64 #s(literal 1/4 binary64) (PI.f64)))
(log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64))))
#s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64)))
(*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (log.f64 (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f))))
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (log.f64 (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f)))) (/.f64 #s(literal -4 binary64) (PI.f64))))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (log.f64 (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f)))) (/.f64 #s(literal -4 binary64) (PI.f64)))
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(* f (PI))
(/ 4 (* f (PI)))
(/ 2 (* f (- (* 1/4 (PI)) (* -1/4 (PI)))))
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(/ (+ (* 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)
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(* -1 (* (PI) (log (/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI))))))))))
(log (/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI))))))))
(/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))
(+ (log (/ 1 f)) (log (/ 4 (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 (/ 1 f)) (log (/ 4 (PI)))) (PI)))
(/ 1 (+ (log (/ 1 f)) (log (/ 4 (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 (/ (PI) (log (/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 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)))))))
(+ (log (/ -4 (PI))) (log (/ -1 f)))
(* -4 (/ (+ (log (/ -4 (PI))) (log (/ -1 f))) (PI)))
(/ 1 (+ (log (/ -4 (PI))) (log (/ -1 f))))
Calls

3 calls:

TimeVariablePointExpression
52.0ms
f
@-inf
((/ (- (* 0 (PI)) (* (* -1/4 (PI)) (* (log (tanh (* (* (PI) 1/4) f))) -4))) (* (* -1/4 (PI)) (PI))) (* (* -1/4 (PI)) (* (log (tanh (* (* (PI) 1/4) f))) -4)) (* 0 (PI)) (- (* 0 (PI)) (* (* -1/4 (PI)) (* (log (tanh (* (* (PI) 1/4) f))) -4))) (/ (log (tanh (* f (* 1/4 (PI))))) (* 1/4 (PI))) (log (tanh (* f (* 1/4 (PI))))) (tanh (* f (* 1/4 (PI)))) (* (* (PI) f) 1/4) (/ 1 (/ 1 (log (/ (/ 4 (PI)) f)))) (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (* (/ 1 (/ 1 (log (/ (/ 4 (PI)) f)))) (/ -4 (PI))) (/ 1 (log (/ (/ 4 (PI)) f))) (* (/ 2 (sqrt (PI))) (/ 2 (sqrt (PI)))) (neg (* (* (/ 2 (sqrt (PI))) (/ 2 (sqrt (PI)))) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (* (* (/ 2 (sqrt (PI))) (/ 2 (sqrt (PI)))) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))))) (/ 2 (sqrt (PI))) (/ 1 (/ (* (PI) 1/4) (log (tanh (* (* (PI) 1/4) f))))) (/ (* (PI) 1/4) (log (tanh (* (* (PI) 1/4) f)))) (* (PI) 1/4) (PI) (* (* (PI) 1/4) f) (* (PI) f) (/ (/ 4 (PI)) f) (sqrt (PI)) (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))))
30.0ms
f
@inf
((/ (- (* 0 (PI)) (* (* -1/4 (PI)) (* (log (tanh (* (* (PI) 1/4) f))) -4))) (* (* -1/4 (PI)) (PI))) (* (* -1/4 (PI)) (* (log (tanh (* (* (PI) 1/4) f))) -4)) (* 0 (PI)) (- (* 0 (PI)) (* (* -1/4 (PI)) (* (log (tanh (* (* (PI) 1/4) f))) -4))) (/ (log (tanh (* f (* 1/4 (PI))))) (* 1/4 (PI))) (log (tanh (* f (* 1/4 (PI))))) (tanh (* f (* 1/4 (PI)))) (* (* (PI) f) 1/4) (/ 1 (/ 1 (log (/ (/ 4 (PI)) f)))) (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (* (/ 1 (/ 1 (log (/ (/ 4 (PI)) f)))) (/ -4 (PI))) (/ 1 (log (/ (/ 4 (PI)) f))) (* (/ 2 (sqrt (PI))) (/ 2 (sqrt (PI)))) (neg (* (* (/ 2 (sqrt (PI))) (/ 2 (sqrt (PI)))) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (* (* (/ 2 (sqrt (PI))) (/ 2 (sqrt (PI)))) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))))) (/ 2 (sqrt (PI))) (/ 1 (/ (* (PI) 1/4) (log (tanh (* (* (PI) 1/4) f))))) (/ (* (PI) 1/4) (log (tanh (* (* (PI) 1/4) f)))) (* (PI) 1/4) (PI) (* (* (PI) 1/4) f) (* (PI) f) (/ (/ 4 (PI)) f) (sqrt (PI)) (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))))
14.0ms
f
@0
((/ (- (* 0 (PI)) (* (* -1/4 (PI)) (* (log (tanh (* (* (PI) 1/4) f))) -4))) (* (* -1/4 (PI)) (PI))) (* (* -1/4 (PI)) (* (log (tanh (* (* (PI) 1/4) f))) -4)) (* 0 (PI)) (- (* 0 (PI)) (* (* -1/4 (PI)) (* (log (tanh (* (* (PI) 1/4) f))) -4))) (/ (log (tanh (* f (* 1/4 (PI))))) (* 1/4 (PI))) (log (tanh (* f (* 1/4 (PI))))) (tanh (* f (* 1/4 (PI)))) (* (* (PI) f) 1/4) (/ 1 (/ 1 (log (/ (/ 4 (PI)) f)))) (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (* (/ 1 (/ 1 (log (/ (/ 4 (PI)) f)))) (/ -4 (PI))) (/ 1 (log (/ (/ 4 (PI)) f))) (* (/ 2 (sqrt (PI))) (/ 2 (sqrt (PI)))) (neg (* (* (/ 2 (sqrt (PI))) (/ 2 (sqrt (PI)))) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (* (* (/ 2 (sqrt (PI))) (/ 2 (sqrt (PI)))) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))))) (/ 2 (sqrt (PI))) (/ 1 (/ (* (PI) 1/4) (log (tanh (* (* (PI) 1/4) f))))) (/ (* (PI) 1/4) (log (tanh (* (* (PI) 1/4) f)))) (* (PI) 1/4) (PI) (* (* (PI) 1/4) f) (* (PI) f) (/ (/ 4 (PI)) f) (sqrt (PI)) (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))))

simplify190.0ms (1.3%)

Memory
-29.6MiB live, 133.8MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03672799
111702171
252561569
088901470
Stop Event
iter limit
node limit
Counts
56 → 56
Calls
Call 1
Inputs
(* 4 (/ (+ (log f) (log (* 1/4 (PI)))) (PI)))
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(/.f64 (-.f64 (pow.f64 (exp.f64 (PI.f64)) (*.f64 #s(literal 1/4 binary64) f)) (pow.f64 (exp.f64 #s(literal -1/4 binary64)) (*.f64 (PI.f64) f))) (+.f64 (pow.f64 (exp.f64 #s(literal -1/4 binary64)) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 (PI.f64)) (*.f64 #s(literal 1/4 binary64) f))))
(+ (log (/ 1 f)) (log (/ 4 (PI))))
(-.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (log.f64 f))
(* -4 (/ (log (/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI)))))))) (PI)))
(*.f64 (/.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 #s(literal -1/4 binary64)) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 (PI.f64)) (*.f64 #s(literal 1/4 binary64) f))) (-.f64 (pow.f64 (exp.f64 (PI.f64)) (*.f64 #s(literal 1/4 binary64) f)) (pow.f64 (exp.f64 #s(literal -1/4 binary64)) (*.f64 (PI.f64) f))))) (PI.f64)) #s(literal -4 binary64))
(* -4 (/ (+ (log (/ 1 f)) (log (/ 4 (PI)))) (PI)))
(*.f64 (/.f64 (-.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (log.f64 f)) (PI.f64)) #s(literal -4 binary64))
(/ 1 (+ (log (/ 1 f)) (log (/ 4 (PI)))))
(/.f64 #s(literal 1 binary64) (-.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (log.f64 f)))
(* 4 (/ (log (/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI)))))))) (PI)))
(*.f64 (/.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 #s(literal -1/4 binary64)) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 (PI.f64)) (*.f64 #s(literal 1/4 binary64) f))) (-.f64 (pow.f64 (exp.f64 (PI.f64)) (*.f64 #s(literal 1/4 binary64) f)) (pow.f64 (exp.f64 #s(literal -1/4 binary64)) (*.f64 (PI.f64) f))))) (PI.f64)) #s(literal 4 binary64))
(* 1/4 (/ (PI) (log (/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI))))))))))
(/.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) (log.f64 (/.f64 (-.f64 (pow.f64 (exp.f64 (PI.f64)) (*.f64 #s(literal 1/4 binary64) f)) (pow.f64 (exp.f64 #s(literal -1/4 binary64)) (*.f64 (PI.f64) f))) (+.f64 (pow.f64 (exp.f64 #s(literal -1/4 binary64)) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 (PI.f64)) (*.f64 #s(literal 1/4 binary64) f))))))
(/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI)))))))
(/.f64 (+.f64 (pow.f64 (exp.f64 #s(literal -1/4 binary64)) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 (PI.f64)) (*.f64 #s(literal 1/4 binary64) f))) (-.f64 (pow.f64 (exp.f64 (PI.f64)) (*.f64 #s(literal 1/4 binary64) f)) (pow.f64 (exp.f64 #s(literal -1/4 binary64)) (*.f64 (PI.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))))
(* -4 (/ (+ (log (/ -4 (PI))) (log (/ -1 f))) (PI)))
(*.f64 (/.f64 (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) f)) (log.f64 (/.f64 #s(literal -4 binary64) (PI.f64)))) (PI.f64)) #s(literal -4 binary64))
(/ 1 (+ (log (/ -4 (PI))) (log (/ -1 f))))
(/.f64 #s(literal 1 binary64) (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) f)) (log.f64 (/.f64 #s(literal -4 binary64) (PI.f64)))))

rewrite229.0ms (1.6%)

Memory
10.8MiB live, 170.2MiB allocated
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
059371
092247
1382238
22355238
08290238
Stop Event
iter limit
node limit
iter limit
Counts
25 → 973
Calls
Call 1
Inputs
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (PI.f64)) (*.f64 (*.f64 #s(literal -1/4 binary64) (PI.f64)) (*.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) #s(literal -4 binary64)))) (*.f64 (*.f64 #s(literal -1/4 binary64) (PI.f64)) (PI.f64)))
(*.f64 (*.f64 #s(literal -1/4 binary64) (PI.f64)) (*.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) #s(literal -4 binary64)))
(*.f64 #s(literal 0 binary64) (PI.f64))
(-.f64 (*.f64 #s(literal 0 binary64) (PI.f64)) (*.f64 (*.f64 #s(literal -1/4 binary64) (PI.f64)) (*.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) #s(literal -4 binary64))))
(/.f64 (log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64)))) (*.f64 #s(literal 1/4 binary64) (PI.f64)))
(log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64))))
#s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64)))
(*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (log.f64 (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f))))
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (log.f64 (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f)))) (/.f64 #s(literal -4 binary64) (PI.f64))))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (log.f64 (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f)))) (/.f64 #s(literal -4 binary64) (PI.f64)))
(/.f64 #s(literal 1 binary64) (log.f64 (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f)))
(*.f64 (/.f64 #s(literal 2 binary64) (sqrt.f64 (PI.f64))) (/.f64 #s(literal 2 binary64) (sqrt.f64 (PI.f64))))
(neg.f64 (*.f64 (*.f64 (/.f64 #s(literal 2 binary64) (sqrt.f64 (PI.f64))) (/.f64 #s(literal 2 binary64) (sqrt.f64 (PI.f64)))) (log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f)))))
(*.f64 (*.f64 (/.f64 #s(literal 2 binary64) (sqrt.f64 (PI.f64))) (/.f64 #s(literal 2 binary64) (sqrt.f64 (PI.f64)))) (log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f))))
(/.f64 #s(literal 2 binary64) (sqrt.f64 (PI.f64)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))))
(/.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))))
(*.f64 (PI.f64) #s(literal 1/4 binary64))
(PI.f64)
(*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)
(*.f64 (PI.f64) f)
(/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f)
(sqrt.f64 (PI.f64))
#s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f))
Outputs
(*.f64 (pow.f64 (/.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (PI.f64)) (PI.f64)) (neg.f64 (pow.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) #s(literal -4 binary64)) (log.f64 (tanh.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) f)))) #s(literal 2 binary64)))) #s(literal -1 binary64)) (pow.f64 (*.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (PI.f64)) #s(literal -4 binary64)) (log.f64 (tanh.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) f)))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (PI.f64)) (pow.f64 (*.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (PI.f64)) #s(literal -4 binary64)) (log.f64 (tanh.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) f)))) #s(literal 3 binary64))) #s(literal -1 binary64)) (pow.f64 (*.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (PI.f64)) #s(literal -4 binary64)) (log.f64 (tanh.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) f)))) #s(literal -2 binary64)))
(*.f64 (*.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) #s(literal -4 binary64)) (log.f64 (tanh.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) f)))) (/.f64 #s(literal -4 binary64) (PI.f64))) (pow.f64 (PI.f64) #s(literal -1 binary64)))
(*.f64 (pow.f64 (PI.f64) #s(literal -1 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) #s(literal -4 binary64)) (log.f64 (tanh.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) f)))) (/.f64 #s(literal -4 binary64) (PI.f64))))
(*.f64 (/.f64 (/.f64 #s(literal -4 binary64) (PI.f64)) (PI.f64)) (pow.f64 (pow.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) #s(literal -4 binary64)) (log.f64 (tanh.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) f)))) #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (/.f64 (/.f64 #s(literal -4 binary64) (PI.f64)) (PI.f64)) (*.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) #s(literal -4 binary64)) (log.f64 (tanh.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) f)))))
(*.f64 (/.f64 #s(literal -4 binary64) (PI.f64)) (pow.f64 (/.f64 (PI.f64) (*.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) #s(literal -4 binary64)) (log.f64 (tanh.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) f))))) #s(literal -1 binary64)))
(*.f64 #s(literal 1 binary64) (neg.f64 (*.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (PI.f64) #s(literal -4 binary64)) (log.f64 (tanh.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) f)))) (*.f64 (PI.f64) (PI.f64))))))
(*.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) #s(literal -4 binary64)) (log.f64 (tanh.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) f)))) (/.f64 (/.f64 #s(literal -4 binary64) (PI.f64)) (PI.f64)))
(*.f64 (*.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (PI.f64)) #s(literal -4 binary64)) (log.f64 (tanh.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) f)))) (pow.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (PI.f64)) #s(literal -1 binary64)))
(*.f64 #s(literal -4 binary64) (pow.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) #s(literal -4 binary64)) (log.f64 (tanh.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) f))))) #s(literal -1 binary64)))
(pow.f64 (/.f64 (PI.f64) (*.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) #s(literal -4 binary64)) (log.f64 (tanh.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) f)))) (/.f64 #s(literal -4 binary64) (PI.f64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (PI.f64)) (*.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (PI.f64)) #s(literal -4 binary64)) (log.f64 (tanh.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) f))))) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (PI.f64)) (*.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (PI.f64)) #s(literal -4 binary64)) (log.f64 (tanh.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) f))))) #s(literal -1 binary64))
(/.f64 (+.f64 #s(literal 0 binary64) (pow.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (PI.f64) #s(literal -4 binary64)) (log.f64 (tanh.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) f)))) (*.f64 (PI.f64) (PI.f64))))) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (-.f64 (*.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (PI.f64) #s(literal -4 binary64)) (log.f64 (tanh.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) f)))) (*.f64 (PI.f64) (PI.f64))))) (neg.f64 (*.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (PI.f64) #s(literal -4 binary64)) (log.f64 (tanh.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) f)))) (*.f64 (PI.f64) (PI.f64)))))) (*.f64 #s(literal 0 binary64) (neg.f64 (*.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (PI.f64) #s(literal -4 binary64)) (log.f64 (tanh.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) f)))) (*.f64 (PI.f64) (PI.f64)))))))))
(/.f64 (neg.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) #s(literal -4 binary64)) (log.f64 (tanh.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) f)))) (/.f64 #s(literal -4 binary64) (PI.f64))) (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)))) (neg.f64 (cbrt.f64 (PI.f64))))
(/.f64 (neg.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) #s(literal -4 binary64)) (log.f64 (tanh.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) f)))) (/.f64 #s(literal -4 binary64) (PI.f64))) (sqrt.f64 (PI.f64)))) (neg.f64 (sqrt.f64 (PI.f64))))
(/.f64 (neg.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) #s(literal -4 binary64)) (log.f64 (tanh.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) f)))) (/.f64 #s(literal -4 binary64) (PI.f64))) #s(literal 1 binary64))) (neg.f64 (PI.f64)))
(/.f64 (neg.f64 (*.f64 (neg.f64 (pow.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) #s(literal -4 binary64)) (log.f64 (tanh.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) f)))) #s(literal 2 binary64))) (/.f64 (/.f64 #s(literal -4 binary64) (PI.f64)) (PI.f64)))) (*.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) #s(literal -4 binary64)) (log.f64 (tanh.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) f)))))
(/.f64 (neg.f64 (*.f64 (pow.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) #s(literal -4 binary64)) (log.f64 (tanh.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) f)))) #s(literal 3 binary64)) (/.f64 (/.f64 #s(literal -4 binary64) (PI.f64)) (PI.f64)))) (neg.f64 (pow.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) #s(literal -4 binary64)) (log.f64 (tanh.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) f)))) #s(literal 2 binary64))))
(/.f64 (neg.f64 (*.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) #s(literal -4 binary64)) (log.f64 (tanh.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) f)))) #s(literal 1 binary64))) (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (PI.f64)))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (*.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (PI.f64) #s(literal -4 binary64)) (log.f64 (tanh.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) f)))) (*.f64 (PI.f64) (PI.f64)))) #s(literal 2 binary64)))) (neg.f64 (+.f64 #s(literal 0 binary64) (*.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (PI.f64) #s(literal -4 binary64)) (log.f64 (tanh.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) f)))) (*.f64 (PI.f64) (PI.f64)))))))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (*.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (PI.f64) #s(literal -4 binary64)) (log.f64 (tanh.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) f)))) (*.f64 (PI.f64) (PI.f64)))) #s(literal 3 binary64)))) (neg.f64 (+.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (*.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (PI.f64) #s(literal -4 binary64)) (log.f64 (tanh.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) f)))) (*.f64 (PI.f64) (PI.f64)))) #s(literal 2 binary64)) (*.f64 #s(literal 0 binary64) (*.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (PI.f64) #s(literal -4 binary64)) (log.f64 (tanh.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) f)))) (*.f64 (PI.f64) (PI.f64)))))))))
(/.f64 (neg.f64 (neg.f64 (*.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) #s(literal -4 binary64)) (log.f64 (tanh.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) f)))) (/.f64 #s(literal -4 binary64) (PI.f64))))) (neg.f64 (neg.f64 (PI.f64))))
(/.f64 (neg.f64 (*.f64 (neg.f64 (pow.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) #s(literal -4 binary64)) (log.f64 (tanh.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) f)))) #s(literal 2 binary64))) #s(literal 1 binary64))) (neg.f64 (*.f64 (*.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (PI.f64)) #s(literal -4 binary64)) (log.f64 (tanh.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) f)))) (*.f64 (*.f64 #s(literal -1/4 binary64) (PI.f64)) (PI.f64)))))
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(pow.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/2 binary64))
(pow.f64 (cbrt.f64 (PI.f64)) #s(literal 3 binary64))
(pow.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64))
(pow.f64 (PI.f64) #s(literal 1 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 (PI.f64) #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (pow.f64 (PI.f64) #s(literal -1 binary64)))
(cbrt.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)))
(sqrt.f64 (*.f64 (PI.f64) (PI.f64)))
(fabs.f64 (PI.f64))
(exp.f64 (neg.f64 (neg.f64 (log.f64 (PI.f64)))))
(exp.f64 (*.f64 (log.f64 (pow.f64 (PI.f64) #s(literal 3 binary64))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 (PI.f64) (PI.f64))) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (PI.f64))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (PI.f64))) #s(literal 2 binary64)))
(exp.f64 (log.f64 (PI.f64)))
(log.f64 (exp.f64 (PI.f64)))
(PI.f64)
(*.f64 (/.f64 f (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (PI.f64)))
(*.f64 (/.f64 f #s(literal -1 binary64)) (*.f64 #s(literal -1/4 binary64) (PI.f64)))
(*.f64 (/.f64 f #s(literal -4 binary64)) (neg.f64 (PI.f64)))
(*.f64 (/.f64 f #s(literal 4 binary64)) (PI.f64))
(*.f64 (*.f64 (*.f64 f #s(literal 1/4 binary64)) (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64))) (cbrt.f64 (PI.f64)))
(*.f64 (*.f64 (*.f64 f #s(literal 1/4 binary64)) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)))
(*.f64 (*.f64 (*.f64 f #s(literal 1/4 binary64)) #s(literal 1 binary64)) (PI.f64))
(*.f64 (/.f64 f #s(literal 1 binary64)) (*.f64 #s(literal 1/4 binary64) (PI.f64)))
(*.f64 (*.f64 f #s(literal 1/4 binary64)) (PI.f64))
(*.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (PI.f64)) (*.f64 f #s(literal 1/4 binary64))))
(*.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) (*.f64 f #s(literal 1/4 binary64))))
(*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (log.f64 (exp.f64 f)))
(*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) f)
(*.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) f))
(*.f64 (*.f64 f (PI.f64)) #s(literal 1/4 binary64))
(*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))
(*.f64 #s(literal 1/4 binary64) (*.f64 f (PI.f64)))
(*.f64 (PI.f64) (log.f64 (pow.f64 (exp.f64 f) #s(literal 1/4 binary64))))
(*.f64 (PI.f64) (/.f64 f #s(literal 4 binary64)))
(*.f64 (PI.f64) (*.f64 f #s(literal 1/4 binary64)))
(pow.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) f) #s(literal 1 binary64))
(pow.f64 (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f) #s(literal -1 binary64))
(/.f64 (neg.f64 (/.f64 f (pow.f64 (PI.f64) #s(literal -1 binary64)))) #s(literal -4 binary64))
(/.f64 (neg.f64 (/.f64 f (/.f64 #s(literal 2 binary64) (sqrt.f64 (PI.f64))))) (neg.f64 (/.f64 #s(literal 2 binary64) (sqrt.f64 (PI.f64)))))
(/.f64 (neg.f64 (/.f64 f #s(literal 4 binary64))) (neg.f64 (pow.f64 (PI.f64) #s(literal -1 binary64))))
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) f)) (/.f64 #s(literal -4 binary64) (PI.f64)))
(/.f64 (neg.f64 (*.f64 f (neg.f64 (PI.f64)))) #s(literal 4 binary64))
(/.f64 (neg.f64 (*.f64 f #s(literal 1 binary64))) (/.f64 #s(literal -4 binary64) (PI.f64)))
(/.f64 (neg.f64 (*.f64 (neg.f64 (PI.f64)) f)) #s(literal 4 binary64))
(/.f64 (neg.f64 (/.f64 f #s(literal 1 binary64))) (/.f64 #s(literal -4 binary64) (PI.f64)))
(/.f64 (neg.f64 (neg.f64 (*.f64 f (PI.f64)))) #s(literal 4 binary64))
(/.f64 (/.f64 f (pow.f64 (PI.f64) #s(literal -1 binary64))) #s(literal 4 binary64))
(/.f64 (/.f64 f (/.f64 #s(literal 2 binary64) (sqrt.f64 (PI.f64)))) (/.f64 #s(literal 2 binary64) (sqrt.f64 (PI.f64))))
(/.f64 (/.f64 f #s(literal 4 binary64)) (pow.f64 (PI.f64) #s(literal -1 binary64)))
(/.f64 (*.f64 #s(literal 1 binary64) f) (/.f64 #s(literal 4 binary64) (PI.f64)))
(/.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 f #s(literal 1 binary64)) (/.f64 #s(literal 4 binary64) (PI.f64)))
(/.f64 (neg.f64 (neg.f64 f)) (/.f64 #s(literal 4 binary64) (PI.f64)))
(/.f64 (neg.f64 (*.f64 f (PI.f64))) #s(literal -4 binary64))
(/.f64 (*.f64 (neg.f64 (PI.f64)) f) #s(literal -4 binary64))
(/.f64 (neg.f64 f) (/.f64 #s(literal -4 binary64) (PI.f64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f))
(/.f64 (*.f64 f (PI.f64)) #s(literal 4 binary64))
(/.f64 f (/.f64 #s(literal 4 binary64) (PI.f64)))
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 #s(literal -4 binary64) (PI.f64))) (/.f64 f (/.f64 #s(literal -4 binary64) (PI.f64))))
(+.f64 (log.f64 (pow.f64 (exp.f64 #s(literal 1/4 binary64)) (*.f64 (PI.f64) (/.f64 f #s(literal 2 binary64))))) (log.f64 (pow.f64 (exp.f64 #s(literal 1/4 binary64)) (*.f64 (PI.f64) (/.f64 f #s(literal 2 binary64))))))
(log.f64 (pow.f64 (pow.f64 (exp.f64 f) (PI.f64)) #s(literal 1/4 binary64)))
(*.f64 (*.f64 f (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64))) (cbrt.f64 (PI.f64)))
(*.f64 (*.f64 f (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)))
(*.f64 (*.f64 f #s(literal 1 binary64)) (PI.f64))
(*.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (PI.f64)) f))
(*.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) f))
(*.f64 #s(literal 1 binary64) (*.f64 f (PI.f64)))
(*.f64 f (PI.f64))
(*.f64 (PI.f64) f)
(*.f64 (pow.f64 (/.f64 f (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64)))) #s(literal -1 binary64)) (pow.f64 (PI.f64) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 (/.f64 f #s(literal -1 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal -4 binary64) (PI.f64)))
(*.f64 (pow.f64 (/.f64 f #s(literal -4 binary64)) #s(literal -1 binary64)) (pow.f64 (neg.f64 (PI.f64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (*.f64 (*.f64 f #s(literal 1/4 binary64)) (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64))) #s(literal -1 binary64)) (pow.f64 (cbrt.f64 (PI.f64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (*.f64 (*.f64 f #s(literal 1/4 binary64)) (sqrt.f64 (PI.f64))) #s(literal -1 binary64)) (pow.f64 (PI.f64) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 (*.f64 (*.f64 f #s(literal 1/4 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (PI.f64) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 f #s(literal 4 binary64)) #s(literal -1 binary64)) (pow.f64 (PI.f64) #s(literal -1 binary64)))
(*.f64 (pow.f64 (*.f64 f #s(literal 1/4 binary64)) #s(literal -1 binary64)) (pow.f64 (PI.f64) #s(literal -1 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal -2 binary64)) (pow.f64 (*.f64 (cbrt.f64 (PI.f64)) (*.f64 f #s(literal 1/4 binary64))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (*.f64 f (PI.f64)) #s(literal -1 binary64)) #s(literal 4 binary64))
(*.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (pow.f64 (*.f64 (sqrt.f64 (PI.f64)) (*.f64 f #s(literal 1/4 binary64))) #s(literal -1 binary64)))
(*.f64 (pow.f64 f #s(literal -1 binary64)) (/.f64 #s(literal 4 binary64) (PI.f64)))
(*.f64 (pow.f64 (PI.f64) #s(literal -1 binary64)) (pow.f64 (/.f64 f #s(literal 4 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (PI.f64) #s(literal -1 binary64)) (pow.f64 (*.f64 f #s(literal 1/4 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (PI.f64) #s(literal -1 binary64)) (/.f64 #s(literal 4 binary64) f))
(*.f64 (pow.f64 (PI.f64) #s(literal -1 binary64)) (*.f64 #s(literal 4 binary64) (pow.f64 f #s(literal -1 binary64))))
(*.f64 (/.f64 #s(literal 2 binary64) (sqrt.f64 (PI.f64))) (/.f64 (/.f64 #s(literal 2 binary64) (sqrt.f64 (PI.f64))) f))
(*.f64 (/.f64 #s(literal 2 binary64) (sqrt.f64 (PI.f64))) (*.f64 (/.f64 #s(literal 2 binary64) (sqrt.f64 (PI.f64))) (pow.f64 f #s(literal -1 binary64))))
(*.f64 (/.f64 #s(literal -4 binary64) (PI.f64)) (pow.f64 (neg.f64 f) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (pow.f64 f #s(literal -1 binary64)))
(*.f64 #s(literal 4 binary64) (/.f64 (pow.f64 (PI.f64) #s(literal -1 binary64)) f))
(*.f64 #s(literal 4 binary64) (pow.f64 (*.f64 f (PI.f64)) #s(literal -1 binary64)))
(*.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f))
(pow.f64 (/.f64 (*.f64 f (*.f64 #s(literal -1/4 binary64) (PI.f64))) #s(literal -1 binary64)) #s(literal -1 binary64))
(pow.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) f) #s(literal -1 binary64))
(/.f64 (neg.f64 (/.f64 #s(literal 4 binary64) f)) (neg.f64 (PI.f64)))
(/.f64 (neg.f64 (*.f64 (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64))) (pow.f64 f #s(literal -1 binary64)))) (neg.f64 (sqrt.f64 (PI.f64))))
(/.f64 (neg.f64 (*.f64 #s(literal -1 binary64) (pow.f64 f #s(literal -1 binary64)))) (*.f64 #s(literal 1/4 binary64) (PI.f64)))
(/.f64 (neg.f64 (*.f64 #s(literal -4 binary64) (pow.f64 f #s(literal -1 binary64)))) (neg.f64 (neg.f64 (PI.f64))))
(/.f64 (neg.f64 (*.f64 #s(literal 4 binary64) (pow.f64 f #s(literal -1 binary64)))) (neg.f64 (PI.f64)))
(/.f64 (neg.f64 (*.f64 (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64))) #s(literal 1 binary64))) (neg.f64 (*.f64 (sqrt.f64 (PI.f64)) f)))
(/.f64 (neg.f64 (pow.f64 f #s(literal -1 binary64))) (*.f64 #s(literal -1/4 binary64) (PI.f64)))
(/.f64 (/.f64 #s(literal 4 binary64) f) (PI.f64))
(/.f64 (*.f64 (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64))) (pow.f64 f #s(literal -1 binary64))) (sqrt.f64 (PI.f64)))
(/.f64 (*.f64 #s(literal -1 binary64) (pow.f64 f #s(literal -1 binary64))) (*.f64 #s(literal -1/4 binary64) (PI.f64)))
(/.f64 (*.f64 #s(literal -4 binary64) (pow.f64 f #s(literal -1 binary64))) (neg.f64 (PI.f64)))
(/.f64 (*.f64 #s(literal 4 binary64) (pow.f64 f #s(literal -1 binary64))) (PI.f64))
(/.f64 (neg.f64 (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64)))) (neg.f64 (*.f64 f (sqrt.f64 (PI.f64)))))
(/.f64 (*.f64 (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64))) #s(literal 1 binary64)) (*.f64 (sqrt.f64 (PI.f64)) f))
(/.f64 (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64))) (*.f64 f (sqrt.f64 (PI.f64))))
(/.f64 (pow.f64 f #s(literal -1 binary64)) (*.f64 #s(literal 1/4 binary64) (PI.f64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 f (*.f64 #s(literal -1/4 binary64) (PI.f64))) #s(literal -1 binary64))))
(/.f64 #s(literal -1 binary64) (*.f64 f (*.f64 #s(literal -1/4 binary64) (PI.f64))))
(/.f64 (/.f64 #s(literal -4 binary64) (PI.f64)) (neg.f64 (neg.f64 (neg.f64 f))))
(/.f64 (/.f64 #s(literal -4 binary64) (PI.f64)) (neg.f64 f))
(/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (neg.f64 (neg.f64 f)))
(/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f)
(/.f64 #s(literal 4 binary64) (neg.f64 (*.f64 f (neg.f64 (PI.f64)))))
(/.f64 #s(literal 4 binary64) (neg.f64 (*.f64 (neg.f64 (PI.f64)) f)))
(/.f64 #s(literal 4 binary64) (neg.f64 (neg.f64 (*.f64 f (PI.f64)))))
(/.f64 #s(literal 4 binary64) (*.f64 f (PI.f64)))
(/.f64 #s(literal 1 binary64) (neg.f64 (*.f64 f (*.f64 #s(literal -1/4 binary64) (PI.f64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 f (*.f64 #s(literal -1/4 binary64) (PI.f64))) #s(literal -1 binary64)))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) f))
(/.f64 #s(literal -4 binary64) (*.f64 f (neg.f64 (PI.f64))))
(/.f64 #s(literal -4 binary64) (neg.f64 (*.f64 f (PI.f64))))
(/.f64 #s(literal -4 binary64) (*.f64 (neg.f64 (PI.f64)) f))
(neg.f64 (/.f64 (/.f64 #s(literal -4 binary64) (PI.f64)) f))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 f)) (/.f64 (/.f64 #s(literal -4 binary64) (PI.f64)) f))
(exp.f64 (*.f64 (log.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) f)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (pow.f64 (PI.f64) #s(literal 1/4 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 (PI.f64) #s(literal 1/4 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (PI.f64) #s(literal 1/6 binary64)) (cbrt.f64 (PI.f64)))
(*.f64 (pow.f64 (PI.f64) #s(literal 1/4 binary64)) (pow.f64 (PI.f64) #s(literal 1/4 binary64)))
(*.f64 (cbrt.f64 (PI.f64)) (fabs.f64 (pow.f64 (PI.f64) #s(literal 1/6 binary64))))
(*.f64 (cbrt.f64 (PI.f64)) (pow.f64 (pow.f64 (PI.f64) #s(literal 1/6 binary64)) #s(literal 1 binary64)))
(*.f64 (cbrt.f64 (PI.f64)) (pow.f64 (PI.f64) #s(literal 1/6 binary64)))
(*.f64 (sqrt.f64 (PI.f64)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64)))
(pow.f64 (pow.f64 (PI.f64) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/6 binary64))
(pow.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))
(pow.f64 (cbrt.f64 (PI.f64)) #s(literal 3/2 binary64))
(pow.f64 (sqrt.f64 (PI.f64)) #s(literal 1 binary64))
(pow.f64 (PI.f64) #s(literal 1/2 binary64))
(sqrt.f64 (PI.f64))
(fabs.f64 (neg.f64 (sqrt.f64 (PI.f64))))
(fabs.f64 (sqrt.f64 (PI.f64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (PI.f64))) #s(literal 1 binary64)))
(exp.f64 (log.f64 (sqrt.f64 (PI.f64))))
#s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f))

eval464.0ms (3.2%)

Memory
-3.8MiB live, 348.1MiB allocated
Compiler

Compiled 68 484 to 6 939 computations (89.9% saved)

prune70.0ms (0.5%)

Memory
3.2MiB live, 123.0MiB allocated
Pruning

14 alts after pruning (12 fresh and 2 done)

PrunedKeptTotal
New1 853101 863
Fresh628
Picked415
Done011
Total1 863141 877
Accuracy
100.0%
Counts
1 877 → 14
Alt Table
Click to see full alt table
StatusAccuracyProgram
96.8%
(/.f64 (/.f64 (*.f64 (log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) f))) #s(literal 4 binary64)) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)))
97.5%
(/.f64 (*.f64 (log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) f))) (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (PI.f64)))
99.5%
(/.f64 (log.f64 (tanh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64))))) (*.f64 #s(literal 1/4 binary64) (PI.f64)))
96.7%
(/.f64 (log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64)))) (*.f64 #s(literal 1/4 binary64) (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)))))
97.8%
(/.f64 (log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64)))) (*.f64 #s(literal 1/4 binary64) (PI.f64)))
97.7%
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) f)))))
97.7%
(*.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) f))))
97.8%
(*.f64 (*.f64 (log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) f))) (/.f64 #s(literal 2 binary64) (sqrt.f64 (PI.f64)))) (/.f64 #s(literal 2 binary64) (sqrt.f64 (PI.f64))))
97.6%
(neg.f64 (*.f64 (/.f64 (neg.f64 (log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64))))) (sqrt.f64 (PI.f64))) (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64)))))
96.3%
(neg.f64 (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (sqrt.f64 (PI.f64)))) (log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f)))))
98.1%
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -2 binary64) (*.f64 (PI.f64) #s(literal 1/48 binary64)) (*.f64 #s(literal 1/8 binary64) (PI.f64))) f) f (/.f64 #s(literal 4 binary64) (PI.f64))) f)))))
97.7%
(neg.f64 (*.f64 (*.f64 (/.f64 #s(literal 2 binary64) (sqrt.f64 (PI.f64))) (/.f64 #s(literal 2 binary64) (sqrt.f64 (PI.f64)))) (log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/192 binary64) (*.f64 (*.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64))) #s(literal -2 binary64) (*.f64 (*.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 1/16 binary64))) f) f (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))) f)))))
97.3%
(neg.f64 (*.f64 (*.f64 (/.f64 #s(literal 2 binary64) (sqrt.f64 (PI.f64))) (/.f64 #s(literal 2 binary64) (sqrt.f64 (PI.f64)))) (log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 #s(literal 4 binary64) (*.f64 f (PI.f64)))))))
97.6%
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (log.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) f)))) (/.f64 #s(literal -4 binary64) (PI.f64))))
Compiler

Compiled 854 to 536 computations (37.2% saved)

simplify161.0ms (1.1%)

Memory
11.0MiB live, 91.5MiB allocated
Algorithm
egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(neg.f64 (log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64)))))
cost-diff0
(/.f64 (neg.f64 (log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64))))) (sqrt.f64 (PI.f64)))
cost-diff128
(neg.f64 (*.f64 (/.f64 (neg.f64 (log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64))))) (sqrt.f64 (PI.f64))) (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64)))))
cost-diff2112
(*.f64 (/.f64 (neg.f64 (log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64))))) (sqrt.f64 (PI.f64))) (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64))))
cost-diff0
#s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) f))
cost-diff0
(log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) f)))
cost-diff0
(*.f64 (log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) f))) (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64))))
cost-diff1984
(/.f64 (*.f64 (log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) f))) (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (PI.f64)))
cost-diff0
(/.f64 #s(literal -1 binary64) (log.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) f)))
cost-diff0
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (log.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) f)))) (/.f64 #s(literal -4 binary64) (PI.f64))))
cost-diff128
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (log.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) f)))) (/.f64 #s(literal -4 binary64) (PI.f64)))
cost-diff1280
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (log.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) f))))
cost-diff0
(log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) f)))
cost-diff0
(PI.f64)
cost-diff0
(/.f64 #s(literal 4 binary64) (PI.f64))
cost-diff0
(*.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) f))))
cost-diff128
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -2 binary64) (*.f64 (PI.f64) #s(literal 1/48 binary64)) (*.f64 #s(literal 1/8 binary64) (PI.f64))) f) f (/.f64 #s(literal 4 binary64) (PI.f64))) f)))))
cost-diff320
(/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64)))
cost-diff384
(/.f64 (PI.f64) #s(literal 4 binary64))
cost-diff704
(fma.f64 #s(literal -2 binary64) (*.f64 (PI.f64) #s(literal 1/48 binary64)) (*.f64 #s(literal 1/8 binary64) (PI.f64)))
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
062643
099631
1206596
2485557
31061557
42299557
55466557
08105557
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -2 binary64) (*.f64 (PI.f64) #s(literal 1/48 binary64)) (*.f64 #s(literal 1/8 binary64) (PI.f64))) f) f (/.f64 #s(literal 4 binary64) (PI.f64))) f)))))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -2 binary64) (*.f64 (PI.f64) #s(literal 1/48 binary64)) (*.f64 #s(literal 1/8 binary64) (PI.f64))) f) 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 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -2 binary64) (*.f64 (PI.f64) #s(literal 1/48 binary64)) (*.f64 #s(literal 1/8 binary64) (PI.f64))) f) f (/.f64 #s(literal 4 binary64) (PI.f64))) f)))
#s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -2 binary64) (*.f64 (PI.f64) #s(literal 1/48 binary64)) (*.f64 #s(literal 1/8 binary64) (PI.f64))) f) f (/.f64 #s(literal 4 binary64) (PI.f64))) f))
(/.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -2 binary64) (*.f64 (PI.f64) #s(literal 1/48 binary64)) (*.f64 #s(literal 1/8 binary64) (PI.f64))) f) f (/.f64 #s(literal 4 binary64) (PI.f64))) f)
(fma.f64 (*.f64 (fma.f64 #s(literal -2 binary64) (*.f64 (PI.f64) #s(literal 1/48 binary64)) (*.f64 #s(literal 1/8 binary64) (PI.f64))) f) f (/.f64 #s(literal 4 binary64) (PI.f64)))
(*.f64 (fma.f64 #s(literal -2 binary64) (*.f64 (PI.f64) #s(literal 1/48 binary64)) (*.f64 #s(literal 1/8 binary64) (PI.f64))) f)
(fma.f64 #s(literal -2 binary64) (*.f64 (PI.f64) #s(literal 1/48 binary64)) (*.f64 #s(literal 1/8 binary64) (PI.f64)))
#s(literal -2 binary64)
(*.f64 (PI.f64) #s(literal 1/48 binary64))
#s(literal 1/48 binary64)
(*.f64 #s(literal 1/8 binary64) (PI.f64))
#s(literal 1/8 binary64)
f
(/.f64 #s(literal 4 binary64) (PI.f64))
(*.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) f))))
(/.f64 #s(literal 4 binary64) (PI.f64))
#s(literal 4 binary64)
(PI.f64)
(log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) f)))
#s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) f))
(*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) f)
(*.f64 #s(literal 1/4 binary64) (PI.f64))
#s(literal 1/4 binary64)
f
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (log.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) f)))) (/.f64 #s(literal -4 binary64) (PI.f64))))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (log.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) f)))) (/.f64 #s(literal -4 binary64) (PI.f64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (log.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) f))))
#s(literal 1 binary64)
(/.f64 #s(literal -1 binary64) (log.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) f)))
#s(literal -1 binary64)
(log.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) f))
(*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) f)
(*.f64 #s(literal 1/4 binary64) (PI.f64))
#s(literal 1/4 binary64)
(PI.f64)
f
(/.f64 #s(literal -4 binary64) (PI.f64))
#s(literal -4 binary64)
(/.f64 (*.f64 (log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) f))) (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (PI.f64)))
(*.f64 (log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) f))) (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64))))
(log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) f)))
#s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) f))
(*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) f)
(*.f64 #s(literal 1/4 binary64) (PI.f64))
#s(literal 1/4 binary64)
(PI.f64)
f
(/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64)))
#s(literal 4 binary64)
(sqrt.f64 (PI.f64))
(neg.f64 (*.f64 (/.f64 (neg.f64 (log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64))))) (sqrt.f64 (PI.f64))) (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64)))))
(*.f64 (/.f64 (neg.f64 (log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64))))) (sqrt.f64 (PI.f64))) (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64))))
(/.f64 (neg.f64 (log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64))))) (sqrt.f64 (PI.f64)))
(neg.f64 (log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64)))))
(log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64))))
#s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64)))
(*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64))
(*.f64 (PI.f64) f)
(PI.f64)
f
#s(literal 1/4 binary64)
(sqrt.f64 (PI.f64))
(/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64)))
#s(literal 4 binary64)
Outputs
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -2 binary64) (*.f64 (PI.f64) #s(literal 1/48 binary64)) (*.f64 #s(literal 1/8 binary64) (PI.f64))) f) f (/.f64 #s(literal 4 binary64) (PI.f64))) f)))))
(*.f64 (/.f64 #s(literal -4 binary64) (PI.f64)) (log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (fma.f64 (*.f64 (*.f64 #s(literal 1/12 binary64) (PI.f64)) f) f (/.f64 #s(literal 4 binary64) (PI.f64))) f))))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -2 binary64) (*.f64 (PI.f64) #s(literal 1/48 binary64)) (*.f64 #s(literal 1/8 binary64) (PI.f64))) f) f (/.f64 #s(literal 4 binary64) (PI.f64))) f))))
(*.f64 (log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (fma.f64 (*.f64 (*.f64 #s(literal 1/12 binary64) (PI.f64)) f) f (/.f64 #s(literal 4 binary64) (PI.f64))) f))) (/.f64 #s(literal 4 binary64) (PI.f64)))
(/.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 #s(literal 1/4 binary64) (PI.f64))
(PI.f64)
#s(literal 4 binary64)
(log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -2 binary64) (*.f64 (PI.f64) #s(literal 1/48 binary64)) (*.f64 #s(literal 1/8 binary64) (PI.f64))) f) f (/.f64 #s(literal 4 binary64) (PI.f64))) f)))
(log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (fma.f64 (*.f64 (*.f64 #s(literal 1/12 binary64) (PI.f64)) f) f (/.f64 #s(literal 4 binary64) (PI.f64))) f)))
#s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -2 binary64) (*.f64 (PI.f64) #s(literal 1/48 binary64)) (*.f64 #s(literal 1/8 binary64) (PI.f64))) f) f (/.f64 #s(literal 4 binary64) (PI.f64))) f))
#s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (fma.f64 (*.f64 (*.f64 #s(literal 1/12 binary64) (PI.f64)) f) f (/.f64 #s(literal 4 binary64) (PI.f64))) f))
(/.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -2 binary64) (*.f64 (PI.f64) #s(literal 1/48 binary64)) (*.f64 #s(literal 1/8 binary64) (PI.f64))) f) f (/.f64 #s(literal 4 binary64) (PI.f64))) f)
(/.f64 (fma.f64 (*.f64 (*.f64 #s(literal 1/12 binary64) (PI.f64)) f) f (/.f64 #s(literal 4 binary64) (PI.f64))) f)
(fma.f64 (*.f64 (fma.f64 #s(literal -2 binary64) (*.f64 (PI.f64) #s(literal 1/48 binary64)) (*.f64 #s(literal 1/8 binary64) (PI.f64))) f) f (/.f64 #s(literal 4 binary64) (PI.f64)))
(fma.f64 (*.f64 (*.f64 #s(literal 1/12 binary64) (PI.f64)) f) f (/.f64 #s(literal 4 binary64) (PI.f64)))
(*.f64 (fma.f64 #s(literal -2 binary64) (*.f64 (PI.f64) #s(literal 1/48 binary64)) (*.f64 #s(literal 1/8 binary64) (PI.f64))) f)
(*.f64 (*.f64 #s(literal 1/12 binary64) (PI.f64)) f)
(fma.f64 #s(literal -2 binary64) (*.f64 (PI.f64) #s(literal 1/48 binary64)) (*.f64 #s(literal 1/8 binary64) (PI.f64)))
(*.f64 #s(literal 1/12 binary64) (PI.f64))
#s(literal -2 binary64)
(*.f64 (PI.f64) #s(literal 1/48 binary64))
(*.f64 #s(literal 1/48 binary64) (PI.f64))
#s(literal 1/48 binary64)
(*.f64 #s(literal 1/8 binary64) (PI.f64))
#s(literal 1/8 binary64)
f
(/.f64 #s(literal 4 binary64) (PI.f64))
(*.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) f))))
(*.f64 (log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64))))) (/.f64 #s(literal 4 binary64) (PI.f64)))
(/.f64 #s(literal 4 binary64) (PI.f64))
#s(literal 4 binary64)
(PI.f64)
(log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) f)))
(log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))))
#s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) f))
#s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64))))
(*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) f)
(*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))
(*.f64 #s(literal 1/4 binary64) (PI.f64))
#s(literal 1/4 binary64)
f
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (log.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) f)))) (/.f64 #s(literal -4 binary64) (PI.f64))))
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (*.f64 (log.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))) (/.f64 #s(literal 4 binary64) (PI.f64))))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (log.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) f)))) (/.f64 #s(literal -4 binary64) (PI.f64)))
(*.f64 (log.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))) (/.f64 #s(literal 4 binary64) (PI.f64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (log.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) f))))
(neg.f64 (log.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))))
#s(literal 1 binary64)
(/.f64 #s(literal -1 binary64) (log.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) f)))
(/.f64 #s(literal -1 binary64) (log.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))))
#s(literal -1 binary64)
(log.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) f))
(log.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64))))
(*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) f)
(*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))
(*.f64 #s(literal 1/4 binary64) (PI.f64))
#s(literal 1/4 binary64)
(PI.f64)
f
(/.f64 #s(literal -4 binary64) (PI.f64))
#s(literal -4 binary64)
(/.f64 (*.f64 (log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) f))) (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (PI.f64)))
(*.f64 (log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64))))) (/.f64 #s(literal 4 binary64) (PI.f64)))
(*.f64 (log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) f))) (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64))))
(*.f64 (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64))) (log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64))))))
(log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) f)))
(log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))))
#s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) f))
#s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64))))
(*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) f)
(*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))
(*.f64 #s(literal 1/4 binary64) (PI.f64))
#s(literal 1/4 binary64)
(PI.f64)
f
(/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64)))
#s(literal 4 binary64)
(sqrt.f64 (PI.f64))
(neg.f64 (*.f64 (/.f64 (neg.f64 (log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64))))) (sqrt.f64 (PI.f64))) (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64)))))
(*.f64 (log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64))))) (/.f64 #s(literal 4 binary64) (PI.f64)))
(*.f64 (/.f64 (neg.f64 (log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64))))) (sqrt.f64 (PI.f64))) (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64))))
(*.f64 (/.f64 #s(literal -4 binary64) (PI.f64)) (log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64))))))
(/.f64 (neg.f64 (log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64))))) (sqrt.f64 (PI.f64)))
(/.f64 (log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64))))) (neg.f64 (sqrt.f64 (PI.f64))))
(neg.f64 (log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64)))))
(neg.f64 (log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64))))))
(log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64))))
(log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))))
#s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64)))
#s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64))))
(*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64))
(*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))
(*.f64 (PI.f64) f)
(*.f64 f (PI.f64))
(PI.f64)
f
#s(literal 1/4 binary64)
(sqrt.f64 (PI.f64))
(/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64)))
#s(literal 4 binary64)

localize430.0ms (3%)

Memory
4.2MiB live, 363.5MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0.26953125
(*.f64 (PI.f64) f)
accuracy0.3125
(/.f64 (neg.f64 (log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64))))) (sqrt.f64 (PI.f64)))
accuracy1.0
(sqrt.f64 (PI.f64))
accuracy1.0720980382063001
#s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64)))
accuracy0.26953125
(*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) f)
accuracy0.3125
(/.f64 (*.f64 (log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) f))) (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (PI.f64)))
accuracy1.0
(sqrt.f64 (PI.f64))
accuracy1.0720980382063001
#s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) f))
accuracy0.28125
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (log.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) f))))
accuracy0.2890625
(/.f64 #s(literal -1 binary64) (log.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) f)))
accuracy0.41796875
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (log.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) f)))) (/.f64 #s(literal -4 binary64) (PI.f64)))
accuracy1.0905422460959664
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (log.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) f)))) (/.f64 #s(literal -4 binary64) (PI.f64))))
accuracy0.0
(PI.f64)
accuracy0.26953125
(*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) f)
accuracy0.40625
(*.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) f))))
accuracy1.0720980382063001
#s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) f))
accuracy0.73828125
(*.f64 (fma.f64 #s(literal -2 binary64) (*.f64 (PI.f64) #s(literal 1/48 binary64)) (*.f64 #s(literal 1/8 binary64) (PI.f64))) f)
accuracy0.7531836684825964
#s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -2 binary64) (*.f64 (PI.f64) #s(literal 1/48 binary64)) (*.f64 #s(literal 1/8 binary64) (PI.f64))) f) f (/.f64 #s(literal 4 binary64) (PI.f64))) f))
accuracy1.0
(fma.f64 #s(literal -2 binary64) (*.f64 (PI.f64) #s(literal 1/48 binary64)) (*.f64 #s(literal 1/8 binary64) (PI.f64)))
accuracy1.0
(*.f64 (PI.f64) #s(literal 1/48 binary64))
Samples
330.0ms247×1valid
24.0ms2valid
2.0ms0valid
Compiler

Compiled 1 129 to 119 computations (89.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 313.0ms
ival-mult: 114.0ms (36.4% of total)
ival-div: 75.0ms (24% of total)
ival-exp: 56.0ms (17.9% of total)
ival-log: 19.0ms (6.1% of total)
adjust: 12.0ms (3.8% of total)
ival-pi: 9.0ms (2.9% of total)
ival-neg: 8.0ms (2.6% of total)
ival-add: 7.0ms (2.2% of total)
const: 4.0ms (1.3% of total)
ival-sqrt: 3.0ms (1% of total)
ival-tanh: 3.0ms (1% of total)
ival-sub: 2.0ms (0.6% of total)
exact: 1.0ms (0.3% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series173.0ms (1.2%)

Memory
-9.4MiB live, 159.0MiB allocated
Counts
26 → 57
Calls
Call 1
Inputs
(fma.f64 #s(literal -2 binary64) (*.f64 (PI.f64) #s(literal 1/48 binary64)) (*.f64 #s(literal 1/8 binary64) (PI.f64)))
(/.f64 (PI.f64) #s(literal 4 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64)))
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -2 binary64) (*.f64 (PI.f64) #s(literal 1/48 binary64)) (*.f64 #s(literal 1/8 binary64) (PI.f64))) f) f (/.f64 #s(literal 4 binary64) (PI.f64))) f)))))
(*.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) f))))
(/.f64 #s(literal 4 binary64) (PI.f64))
(PI.f64)
(log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) f)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (log.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) f))))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (log.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) f)))) (/.f64 #s(literal -4 binary64) (PI.f64)))
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (log.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) f)))) (/.f64 #s(literal -4 binary64) (PI.f64))))
(/.f64 #s(literal -1 binary64) (log.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) f)))
(/.f64 (*.f64 (log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) f))) (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (PI.f64)))
(*.f64 (log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) f))) (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64))))
#s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) f))
(*.f64 (/.f64 (neg.f64 (log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64))))) (sqrt.f64 (PI.f64))) (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64))))
(neg.f64 (*.f64 (/.f64 (neg.f64 (log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64))))) (sqrt.f64 (PI.f64))) (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64)))))
(/.f64 (neg.f64 (log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64))))) (sqrt.f64 (PI.f64)))
(neg.f64 (log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64)))))
(*.f64 (PI.f64) #s(literal 1/48 binary64))
#s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -2 binary64) (*.f64 (PI.f64) #s(literal 1/48 binary64)) (*.f64 #s(literal 1/8 binary64) (PI.f64))) f) f (/.f64 #s(literal 4 binary64) (PI.f64))) f))
(*.f64 (fma.f64 #s(literal -2 binary64) (*.f64 (PI.f64) #s(literal 1/48 binary64)) (*.f64 #s(literal 1/8 binary64) (PI.f64))) f)
(*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) f)
(sqrt.f64 (PI.f64))
#s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64)))
(*.f64 (PI.f64) f)
Outputs
(* -4 (/ (+ (log (/ 2 (- (* 1/4 (PI)) (* -1/4 (PI))))) (* -1 (log f))) (PI)))
(- (* -2 (/ (* f (* (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI)))))) (- (* 1/4 (PI)) (* -1/4 (PI))))) (PI))) (* 4 (/ (+ (log (/ 2 (- (* 1/4 (PI)) (* -1/4 (PI))))) (* -1 (log f))) (PI))))
(- (* f (- (* -2 (/ (* f (+ (* -1/4 (* (pow (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI)))))) 2) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 2))) (* (- (* 1/16 (/ (pow (PI) 2) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 2 (/ (- (* 1/384 (pow (PI) 3)) (* -1/384 (pow (PI) 3))) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 2)))) (- (* 1/4 (PI)) (* -1/4 (PI)))))) (PI))) (* 2 (/ (* (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI)))))) (- (* 1/4 (PI)) (* -1/4 (PI)))) (PI))))) (* 4 (/ (+ (log (/ 2 (- (* 1/4 (PI)) (* -1/4 (PI))))) (* -1 (log f))) (PI))))
(- (* f (- (* f (- (* -2/3 (/ (* f (+ (* -3/2 (* (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI)))))) (* (- (* 1/16 (/ (pow (PI) 2) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 2 (/ (- (* 1/384 (pow (PI) 3)) (* -1/384 (pow (PI) 3))) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 2)))) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 2)))) (+ (* 1/4 (* (pow (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI)))))) 3) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 3))) (* 3 (* (- (* 1/4 (PI)) (* -1/4 (PI))) (- (+ (* -1/384 (/ (pow (PI) 3) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/384 (/ (pow (PI) 3) (- (* 1/4 (PI)) (* -1/4 (PI)))))) (/ (* (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI)))))) (- (* 1/384 (pow (PI) 3)) (* -1/384 (pow (PI) 3)))) (- (* 1/4 (PI)) (* -1/4 (PI)))))))))) (PI))) (* 2 (/ (+ (* -1/4 (* (pow (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI)))))) 2) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 2))) (* (- (* 1/16 (/ (pow (PI) 2) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 2 (/ (- (* 1/384 (pow (PI) 3)) (* -1/384 (pow (PI) 3))) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 2)))) (- (* 1/4 (PI)) (* -1/4 (PI))))) (PI))))) (* 2 (/ (* (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI)))))) (- (* 1/4 (PI)) (* -1/4 (PI)))) (PI))))) (* 4 (/ (+ (log (/ 2 (- (* 1/4 (PI)) (* -1/4 (PI))))) (* -1 (log f))) (PI))))
(* 4 (/ (+ (log f) (log (* 1/4 (PI)))) (PI)))
(+ (* 4 (/ (+ (log f) (log (* 1/4 (PI)))) (PI))) (* 8 (/ (* f (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2)))) (pow (PI) 2))))
(+ (* 4 (/ (+ (log f) (log (* 1/4 (PI)))) (PI))) (* f (+ (* 2 (/ (* f (+ (* -4 (/ (pow (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) 2) (pow (PI) 2))) (* 8 (/ (- (* 1/2 (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (+ (* -1/128 (pow (PI) 3)) (* 1/192 (pow (PI) 3))))) (* 1/128 (pow (PI) 3))) (PI))))) (PI))) (* 8 (/ (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) (pow (PI) 2))))))
(+ (* 4 (/ (+ (log f) (log (* 1/4 (PI)))) (PI))) (* f (+ (* 8 (/ (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) (pow (PI) 2))) (* f (+ (* 2/3 (/ (* f (+ (* -48 (/ (* (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) (- (* 1/2 (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (+ (* -1/128 (pow (PI) 3)) (* 1/192 (pow (PI) 3))))) (* 1/128 (pow (PI) 3)))) (pow (PI) 2))) (+ (* 16 (/ (pow (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) 3) (pow (PI) 3))) (* 24 (/ (- (* 1/2 (+ (* -1/4 (* (PI) (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (+ (* -1/128 (pow (PI) 3)) (* 1/384 (pow (PI) 3)))))) (+ (* -1/32 (* (pow (PI) 2) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (+ (* -1/1536 (pow (PI) 4)) (* 1/3072 (pow (PI) 4)))))) (+ (* -1/8 (* (PI) (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (* -1/128 (pow (PI) 3))))) (* 1/64 (* (pow (PI) 2) (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))))))) (PI)))))) (PI))) (* 2 (/ (+ (* -4 (/ (pow (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) 2) (pow (PI) 2))) (* 8 (/ (- (* 1/2 (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (+ (* -1/128 (pow (PI) 3)) (* 1/192 (pow (PI) 3))))) (* 1/128 (pow (PI) 3))) (PI)))) (PI))))))))
(+ (log f) (log (* 1/4 (PI))))
(+ (log f) (+ (log (* 1/4 (PI))) (* 2 (/ (* f (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2)))) (PI)))))
(+ (log f) (+ (log (* 1/4 (PI))) (* f (+ (* 1/2 (* f (+ (* -4 (/ (pow (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) 2) (pow (PI) 2))) (* 8 (/ (- (* 1/2 (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (+ (* -1/128 (pow (PI) 3)) (* 1/192 (pow (PI) 3))))) (* 1/128 (pow (PI) 3))) (PI)))))) (* 2 (/ (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) (PI)))))))
(+ (log f) (+ (log (* 1/4 (PI))) (* f (+ (* 2 (/ (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) (PI))) (* f (+ (* 1/6 (* f (+ (* -48 (/ (* (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) (- (* 1/2 (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (+ (* -1/128 (pow (PI) 3)) (* 1/192 (pow (PI) 3))))) (* 1/128 (pow (PI) 3)))) (pow (PI) 2))) (+ (* 16 (/ (pow (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) 3) (pow (PI) 3))) (* 24 (/ (- (* 1/2 (+ (* -1/4 (* (PI) (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (+ (* -1/128 (pow (PI) 3)) (* 1/384 (pow (PI) 3)))))) (+ (* -1/32 (* (pow (PI) 2) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (+ (* -1/1536 (pow (PI) 4)) (* 1/3072 (pow (PI) 4)))))) (+ (* -1/8 (* (PI) (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (* -1/128 (pow (PI) 3))))) (* 1/64 (* (pow (PI) 2) (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))))))) (PI))))))) (* 1/2 (+ (* -4 (/ (pow (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) 2) (pow (PI) 2))) (* 8 (/ (- (* 1/2 (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (+ (* -1/128 (pow (PI) 3)) (* 1/192 (pow (PI) 3))))) (* 1/128 (pow (PI) 3))) (PI)))))))))))
(* -1 (+ (log f) (log (* 1/4 (PI)))))
(/ -1 (+ (log f) (log (* 1/4 (PI)))))
(* 4 (* (sqrt (/ 1 (PI))) (+ (log f) (log (* 1/4 (PI))))))
(+ (* 4 (* (sqrt (/ 1 (PI))) (+ (log f) (log (* 1/4 (PI)))))) (* 8 (* (* f (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2)))) (sqrt (/ 1 (pow (PI) 3))))))
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(/ 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)
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(* f (+ (* -1/24 (PI)) (* 1/8 (PI))))
(* f (PI))
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(* -1 (+ (log (* 1/4 (PI))) (* -1 (log (/ 1 f)))))
(* 4 (/ (+ (log (* 1/4 (PI))) (* -1 (log (/ 1 f)))) (PI)))
(/ -1 (+ (log (* 1/4 (PI))) (* -1 (log (/ 1 f)))))
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(* -4 (/ (log (/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))) (PI)))
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(* -1 (log (/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))))
(/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI)))))))
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(* 4 (/ (+ (log (* -1/4 (PI))) (* -1 (log (/ -1 f)))) (PI)))
(/ -1 (+ (log (* -1/4 (PI))) (* -1 (log (/ -1 f)))))
Calls

3 calls:

TimeVariablePointExpression
89.0ms
f
@0
((+ (* -2 (* (PI) 1/48)) (* 1/8 (PI))) (/ (PI) 4) (/ 1 (/ (PI) 4)) (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (* (/ 4 (PI)) (log (tanh (* f (* 1/4 (PI)))))) (/ 4 (PI)) (PI) (log (tanh (* f (* 1/4 (PI))))) (/ 1 (/ -1 (log (* (* 1/4 (PI)) f)))) (* (/ 1 (/ -1 (log (* (* 1/4 (PI)) f)))) (/ -4 (PI))) (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (/ -1 (log (* (* 1/4 (PI)) f))) (/ (* (log (tanh (* f (* 1/4 (PI))))) (/ 4 (sqrt (PI)))) (sqrt (PI))) (* (log (tanh (* f (* 1/4 (PI))))) (/ 4 (sqrt (PI)))) (tanh (* f (* 1/4 (PI)))) (* (/ (neg (log (tanh (* f (* 1/4 (PI)))))) (sqrt (PI))) (/ 4 (sqrt (PI)))) (neg (* (/ (neg (log (tanh (* f (* 1/4 (PI)))))) (sqrt (PI))) (/ 4 (sqrt (PI))))) (/ (neg (log (tanh (* f (* 1/4 (PI)))))) (sqrt (PI))) (neg (log (tanh (* f (* 1/4 (PI)))))) (* (PI) 1/48) (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (* (+ (* -2 (* (PI) 1/48)) (* 1/8 (PI))) f) (* (* 1/4 (PI)) f) (sqrt (PI)) (tanh (* f (* 1/4 (PI)))) (* (PI) f))
42.0ms
f
@-inf
((+ (* -2 (* (PI) 1/48)) (* 1/8 (PI))) (/ (PI) 4) (/ 1 (/ (PI) 4)) (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (* (/ 4 (PI)) (log (tanh (* f (* 1/4 (PI)))))) (/ 4 (PI)) (PI) (log (tanh (* f (* 1/4 (PI))))) (/ 1 (/ -1 (log (* (* 1/4 (PI)) f)))) (* (/ 1 (/ -1 (log (* (* 1/4 (PI)) f)))) (/ -4 (PI))) (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (/ -1 (log (* (* 1/4 (PI)) f))) (/ (* (log (tanh (* f (* 1/4 (PI))))) (/ 4 (sqrt (PI)))) (sqrt (PI))) (* (log (tanh (* f (* 1/4 (PI))))) (/ 4 (sqrt (PI)))) (tanh (* f (* 1/4 (PI)))) (* (/ (neg (log (tanh (* f (* 1/4 (PI)))))) (sqrt (PI))) (/ 4 (sqrt (PI)))) (neg (* (/ (neg (log (tanh (* f (* 1/4 (PI)))))) (sqrt (PI))) (/ 4 (sqrt (PI))))) (/ (neg (log (tanh (* f (* 1/4 (PI)))))) (sqrt (PI))) (neg (log (tanh (* f (* 1/4 (PI)))))) (* (PI) 1/48) (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (* (+ (* -2 (* (PI) 1/48)) (* 1/8 (PI))) f) (* (* 1/4 (PI)) f) (sqrt (PI)) (tanh (* f (* 1/4 (PI)))) (* (PI) f))
39.0ms
f
@inf
((+ (* -2 (* (PI) 1/48)) (* 1/8 (PI))) (/ (PI) 4) (/ 1 (/ (PI) 4)) (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (* (/ 4 (PI)) (log (tanh (* f (* 1/4 (PI)))))) (/ 4 (PI)) (PI) (log (tanh (* f (* 1/4 (PI))))) (/ 1 (/ -1 (log (* (* 1/4 (PI)) f)))) (* (/ 1 (/ -1 (log (* (* 1/4 (PI)) f)))) (/ -4 (PI))) (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (/ -1 (log (* (* 1/4 (PI)) f))) (/ (* (log (tanh (* f (* 1/4 (PI))))) (/ 4 (sqrt (PI)))) (sqrt (PI))) (* (log (tanh (* f (* 1/4 (PI))))) (/ 4 (sqrt (PI)))) (tanh (* f (* 1/4 (PI)))) (* (/ (neg (log (tanh (* f (* 1/4 (PI)))))) (sqrt (PI))) (/ 4 (sqrt (PI)))) (neg (* (/ (neg (log (tanh (* f (* 1/4 (PI)))))) (sqrt (PI))) (/ 4 (sqrt (PI))))) (/ (neg (log (tanh (* f (* 1/4 (PI)))))) (sqrt (PI))) (neg (log (tanh (* f (* 1/4 (PI)))))) (* (PI) 1/48) (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (* (+ (* -2 (* (PI) 1/48)) (* 1/8 (PI))) f) (* (* 1/4 (PI)) f) (sqrt (PI)) (tanh (* f (* 1/4 (PI)))) (* (PI) f))

simplify210.0ms (1.5%)

Memory
28.8MiB live, 141.0MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03662950
111612320
249831723
083631612
Stop Event
iter limit
node limit
Counts
57 → 57
Calls
Call 1
Inputs
(* -4 (/ (+ (log (/ 2 (- (* 1/4 (PI)) (* -1/4 (PI))))) (* -1 (log f))) (PI)))
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(- (* f (- (* -1/2 (* f (+ (* -4 (/ (pow (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) 2) (pow (PI) 2))) (* 8 (/ (- (* 1/2 (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (+ (* -1/128 (pow (PI) 3)) (* 1/192 (pow (PI) 3))))) (* 1/128 (pow (PI) 3))) (PI)))))) (* 2 (/ (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) (PI))))) (+ (log f) (log (* 1/4 (PI)))))
(fma.f64 (fma.f64 (*.f64 (/.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal -1/32 binary64)) (*.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal -7/768 binary64))) (PI.f64)) #s(literal -4 binary64)) f #s(literal 0 binary64)) f (-.f64 (neg.f64 (log.f64 f)) (log.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)))))
(- (* f (- (* f (- (* -1/6 (* f (+ (* -48 (/ (* (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) (- (* 1/2 (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (+ (* -1/128 (pow (PI) 3)) (* 1/192 (pow (PI) 3))))) (* 1/128 (pow (PI) 3)))) (pow (PI) 2))) (+ (* 16 (/ (pow (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) 3) (pow (PI) 3))) (* 24 (/ (- (* 1/2 (+ (* -1/4 (* (PI) (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (+ (* -1/128 (pow (PI) 3)) (* 1/384 (pow (PI) 3)))))) (+ (* -1/32 (* (pow (PI) 2) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (+ (* -1/1536 (pow (PI) 4)) (* 1/3072 (pow (PI) 4)))))) (+ (* -1/8 (* (PI) (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (* -1/128 (pow (PI) 3))))) (* 1/64 (* (pow (PI) 2) (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))))))) (PI))))))) (* 1/2 (+ (* -4 (/ (pow (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) 2) (pow (PI) 2))) (* 8 (/ (- (* 1/2 (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (+ (* -1/128 (pow (PI) 3)) (* 1/192 (pow (PI) 3))))) (* 1/128 (pow (PI) 3))) (PI))))))) (* 2 (/ (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) (PI))))) (+ (log f) (log (* 1/4 (PI)))))
(fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) f) (fma.f64 (/.f64 (fma.f64 #s(literal 1/8 binary64) (fma.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 4 binary64)) #s(literal -1/32 binary64)) #s(literal -1/4 binary64) (*.f64 #s(literal -1/128 binary64) (pow.f64 (PI.f64) #s(literal 4 binary64)))) (fma.f64 (fma.f64 #s(literal 1/1024 binary64) (pow.f64 (PI.f64) #s(literal 4 binary64)) (*.f64 (pow.f64 (PI.f64) #s(literal 4 binary64)) #s(literal -1/3072 binary64))) #s(literal 1/2 binary64) (*.f64 #s(literal -1/8 binary64) (*.f64 (fma.f64 #s(literal -1/192 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64)) (*.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal -1/32 binary64)) #s(literal -1/4 binary64))) (PI.f64))))) (PI.f64)) #s(literal 24 binary64) #s(literal 0 binary64)) (*.f64 (/.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal -1/32 binary64)) (*.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal -7/768 binary64))) (PI.f64)) #s(literal -4 binary64))) f #s(literal 0 binary64)) f (-.f64 (neg.f64 (log.f64 f)) (log.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)))))
(/ 2 (* f (- (* 1/4 (PI)) (* -1/4 (PI)))))
(/.f64 #s(literal 2 binary64) (*.f64 (*.f64 f (PI.f64)) #s(literal 1/2 binary64)))
(/ (+ (* f (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))))) (* 2 (/ 1 (- (* 1/4 (PI)) (* -1/4 (PI)))))) f)
(/.f64 (+.f64 #s(literal 0 binary64) (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))) f)
(/ (+ (* f (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (+ (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* f (- (* 1/16 (/ (pow (PI) 2) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 2 (/ (- (* 1/384 (pow (PI) 3)) (* -1/384 (pow (PI) 3))) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 2)))))))) (* 2 (/ 1 (- (* 1/4 (PI)) (* -1/4 (PI)))))) f)
(/.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 1/192 binary64)) #s(literal -2 binary64) (*.f64 (*.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 1/16 binary64))) f) f (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))) f)
(/ (+ (* f (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (+ (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* f (- (+ (* 1/16 (/ (pow (PI) 2) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* f (- (+ (* -1/384 (/ (pow (PI) 3) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/384 (/ (pow (PI) 3) (- (* 1/4 (PI)) (* -1/4 (PI)))))) (/ (* (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI)))))) (- (* 1/384 (pow (PI) 3)) (* -1/384 (pow (PI) 3)))) (- (* 1/4 (PI)) (* -1/4 (PI))))))) (* 2 (/ (- (* 1/384 (pow (PI) 3)) (* -1/384 (pow (PI) 3))) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 2)))))))) (* 2 (/ 1 (- (* 1/4 (PI)) (* -1/4 (PI)))))) f)
(/.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 1/192 binary64)) #s(literal -2 binary64) (*.f64 (*.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 1/16 binary64))) f) f (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))) f)
(* f (+ (* -1/24 (PI)) (* 1/8 (PI))))
(*.f64 (*.f64 #s(literal 1/12 binary64) (PI.f64)) f)
(* f (PI))
(*.f64 f (PI.f64))
(* -4 (/ (log (/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI)))))))) (PI)))
(*.f64 (/.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 #s(literal -1/4 binary64)) (*.f64 f (PI.f64))) (pow.f64 (exp.f64 f) (*.f64 #s(literal 1/4 binary64) (PI.f64)))) (-.f64 (pow.f64 (exp.f64 f) (*.f64 #s(literal 1/4 binary64) (PI.f64))) (pow.f64 (exp.f64 #s(literal -1/4 binary64)) (*.f64 f (PI.f64)))))) (PI.f64)) #s(literal -4 binary64))
(* 4 (/ (log (/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))) (PI)))
(*.f64 (/.f64 (log.f64 (/.f64 (-.f64 (pow.f64 (exp.f64 f) (*.f64 #s(literal 1/4 binary64) (PI.f64))) (pow.f64 (exp.f64 #s(literal -1/4 binary64)) (*.f64 f (PI.f64)))) (+.f64 (pow.f64 (exp.f64 #s(literal -1/4 binary64)) (*.f64 f (PI.f64))) (pow.f64 (exp.f64 f) (*.f64 #s(literal 1/4 binary64) (PI.f64)))))) (PI.f64)) #s(literal 4 binary64))
(log (/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI))))))))
(log.f64 (/.f64 (-.f64 (pow.f64 (exp.f64 f) (*.f64 #s(literal 1/4 binary64) (PI.f64))) (pow.f64 (exp.f64 #s(literal -1/4 binary64)) (*.f64 f (PI.f64)))) (+.f64 (pow.f64 (exp.f64 #s(literal -1/4 binary64)) (*.f64 f (PI.f64))) (pow.f64 (exp.f64 f) (*.f64 #s(literal 1/4 binary64) (PI.f64))))))
(* -1 (+ (log (* 1/4 (PI))) (* -1 (log (/ 1 f)))))
(-.f64 (neg.f64 (log.f64 f)) (log.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64))))
(* 4 (/ (+ (log (* 1/4 (PI))) (* -1 (log (/ 1 f)))) (PI)))
(*.f64 (/.f64 (+.f64 (log.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64))) (log.f64 f)) (PI.f64)) #s(literal 4 binary64))
(/ -1 (+ (log (* 1/4 (PI))) (* -1 (log (/ 1 f)))))
(/.f64 #s(literal -1 binary64) (+.f64 (log.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64))) (log.f64 f)))
(* 4 (* (sqrt (/ 1 (PI))) (log (/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI))))))))))
(*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) #s(literal 4 binary64)) (log.f64 (/.f64 (-.f64 (pow.f64 (exp.f64 f) (*.f64 #s(literal 1/4 binary64) (PI.f64))) (pow.f64 (exp.f64 #s(literal -1/4 binary64)) (*.f64 f (PI.f64)))) (+.f64 (pow.f64 (exp.f64 #s(literal -1/4 binary64)) (*.f64 f (PI.f64))) (pow.f64 (exp.f64 f) (*.f64 #s(literal 1/4 binary64) (PI.f64)))))))
(/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))
(/.f64 (-.f64 (pow.f64 (exp.f64 f) (*.f64 #s(literal 1/4 binary64) (PI.f64))) (pow.f64 (exp.f64 #s(literal -1/4 binary64)) (*.f64 f (PI.f64)))) (+.f64 (pow.f64 (exp.f64 #s(literal -1/4 binary64)) (*.f64 f (PI.f64))) (pow.f64 (exp.f64 f) (*.f64 #s(literal 1/4 binary64) (PI.f64)))))
(* -4 (/ (log (/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))) (PI)))
(*.f64 (/.f64 (log.f64 (/.f64 (-.f64 (pow.f64 (exp.f64 f) (*.f64 #s(literal 1/4 binary64) (PI.f64))) (pow.f64 (exp.f64 #s(literal -1/4 binary64)) (*.f64 f (PI.f64)))) (+.f64 (pow.f64 (exp.f64 #s(literal -1/4 binary64)) (*.f64 f (PI.f64))) (pow.f64 (exp.f64 f) (*.f64 #s(literal 1/4 binary64) (PI.f64)))))) (PI.f64)) #s(literal -4 binary64))
(* -1 (* (sqrt (/ 1 (PI))) (log (/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI))))))))))
(*.f64 (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))) (log.f64 (/.f64 (-.f64 (pow.f64 (exp.f64 f) (*.f64 #s(literal 1/4 binary64) (PI.f64))) (pow.f64 (exp.f64 #s(literal -1/4 binary64)) (*.f64 f (PI.f64)))) (+.f64 (pow.f64 (exp.f64 #s(literal -1/4 binary64)) (*.f64 f (PI.f64))) (pow.f64 (exp.f64 f) (*.f64 #s(literal 1/4 binary64) (PI.f64)))))))
(* -1 (log (/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))))
(neg.f64 (log.f64 (/.f64 (-.f64 (pow.f64 (exp.f64 f) (*.f64 #s(literal 1/4 binary64) (PI.f64))) (pow.f64 (exp.f64 #s(literal -1/4 binary64)) (*.f64 f (PI.f64)))) (+.f64 (pow.f64 (exp.f64 #s(literal -1/4 binary64)) (*.f64 f (PI.f64))) (pow.f64 (exp.f64 f) (*.f64 #s(literal 1/4 binary64) (PI.f64)))))))
(/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI)))))))
(/.f64 (+.f64 (pow.f64 (exp.f64 #s(literal -1/4 binary64)) (*.f64 f (PI.f64))) (pow.f64 (exp.f64 f) (*.f64 #s(literal 1/4 binary64) (PI.f64)))) (-.f64 (pow.f64 (exp.f64 f) (*.f64 #s(literal 1/4 binary64) (PI.f64))) (pow.f64 (exp.f64 #s(literal -1/4 binary64)) (*.f64 f (PI.f64)))))
(* -1 (+ (log (* -1/4 (PI))) (* -1 (log (/ -1 f)))))
(-.f64 (log.f64 (/.f64 #s(literal -1 binary64) f)) (log.f64 (*.f64 #s(literal -1/4 binary64) (PI.f64))))
(* 4 (/ (+ (log (* -1/4 (PI))) (* -1 (log (/ -1 f)))) (PI)))
(*.f64 (/.f64 (-.f64 (log.f64 (*.f64 #s(literal -1/4 binary64) (PI.f64))) (log.f64 (/.f64 #s(literal -1 binary64) f))) (PI.f64)) #s(literal 4 binary64))
(/ -1 (+ (log (* -1/4 (PI))) (* -1 (log (/ -1 f)))))
(/.f64 #s(literal -1 binary64) (-.f64 (log.f64 (*.f64 #s(literal -1/4 binary64) (PI.f64))) (log.f64 (/.f64 #s(literal -1 binary64) f))))

rewrite293.0ms (2%)

Memory
-18.5MiB live, 368.8MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
062398
099309
1354298
22342297
08989293
Stop Event
iter limit
node limit
iter limit
Counts
26 → 877
Calls
Call 1
Inputs
(fma.f64 #s(literal -2 binary64) (*.f64 (PI.f64) #s(literal 1/48 binary64)) (*.f64 #s(literal 1/8 binary64) (PI.f64)))
(/.f64 (PI.f64) #s(literal 4 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64)))
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -2 binary64) (*.f64 (PI.f64) #s(literal 1/48 binary64)) (*.f64 #s(literal 1/8 binary64) (PI.f64))) f) f (/.f64 #s(literal 4 binary64) (PI.f64))) f)))))
(*.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) f))))
(/.f64 #s(literal 4 binary64) (PI.f64))
(PI.f64)
(log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) f)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (log.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) f))))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (log.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) f)))) (/.f64 #s(literal -4 binary64) (PI.f64)))
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (log.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) f)))) (/.f64 #s(literal -4 binary64) (PI.f64))))
(/.f64 #s(literal -1 binary64) (log.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) f)))
(/.f64 (*.f64 (log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) f))) (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (PI.f64)))
(*.f64 (log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) f))) (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64))))
#s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) f))
(*.f64 (/.f64 (neg.f64 (log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64))))) (sqrt.f64 (PI.f64))) (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64))))
(neg.f64 (*.f64 (/.f64 (neg.f64 (log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64))))) (sqrt.f64 (PI.f64))) (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64)))))
(/.f64 (neg.f64 (log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64))))) (sqrt.f64 (PI.f64)))
(neg.f64 (log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64)))))
(*.f64 (PI.f64) #s(literal 1/48 binary64))
#s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -2 binary64) (*.f64 (PI.f64) #s(literal 1/48 binary64)) (*.f64 #s(literal 1/8 binary64) (PI.f64))) f) f (/.f64 #s(literal 4 binary64) (PI.f64))) f))
(*.f64 (fma.f64 #s(literal -2 binary64) (*.f64 (PI.f64) #s(literal 1/48 binary64)) (*.f64 #s(literal 1/8 binary64) (PI.f64))) f)
(*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) f)
(sqrt.f64 (PI.f64))
#s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64)))
(*.f64 (PI.f64) f)
Outputs
(*.f64 (-.f64 (*.f64 #s(literal 1/576 binary64) (*.f64 (PI.f64) (PI.f64))) (*.f64 #s(literal 1/64 binary64) (*.f64 (PI.f64) (PI.f64)))) (pow.f64 (fma.f64 #s(literal -1/24 binary64) (PI.f64) (*.f64 #s(literal -1/8 binary64) (PI.f64))) #s(literal -1 binary64)))
(*.f64 (fma.f64 #s(literal -1/13824 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64)) (*.f64 #s(literal 1/512 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64)))) (pow.f64 (fma.f64 #s(literal 1/576 binary64) (*.f64 (PI.f64) (PI.f64)) (*.f64 (*.f64 #s(literal 1/8 binary64) (PI.f64)) (-.f64 (*.f64 #s(literal 1/8 binary64) (PI.f64)) (*.f64 #s(literal -1/24 binary64) (PI.f64))))) #s(literal -1 binary64)))
(pow.f64 (/.f64 (fma.f64 #s(literal -1/24 binary64) (PI.f64) (*.f64 #s(literal -1/8 binary64) (PI.f64))) (-.f64 (*.f64 #s(literal 1/576 binary64) (*.f64 (PI.f64) (PI.f64))) (*.f64 #s(literal 1/64 binary64) (*.f64 (PI.f64) (PI.f64))))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 #s(literal 1/576 binary64) (*.f64 (PI.f64) (PI.f64)) (*.f64 (*.f64 #s(literal 1/8 binary64) (PI.f64)) (-.f64 (*.f64 #s(literal 1/8 binary64) (PI.f64)) (*.f64 #s(literal -1/24 binary64) (PI.f64))))) (fma.f64 #s(literal -1/13824 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64)) (*.f64 #s(literal 1/512 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64))))) #s(literal -1 binary64))
(/.f64 (neg.f64 (-.f64 (*.f64 #s(literal 1/64 binary64) (*.f64 (PI.f64) (PI.f64))) (*.f64 #s(literal 1/576 binary64) (*.f64 (PI.f64) (PI.f64))))) (neg.f64 (-.f64 (*.f64 #s(literal 1/8 binary64) (PI.f64)) (*.f64 #s(literal -1/24 binary64) (PI.f64)))))
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eval271.0ms (1.9%)

Memory
-1.5MiB live, 396.2MiB allocated
Compiler

Compiled 61 626 to 6 267 computations (89.8% saved)

prune49.0ms (0.3%)

Memory
8.4MiB live, 130.9MiB allocated
Pruning

14 alts after pruning (10 fresh and 4 done)

PrunedKeptTotal
New1 49171 498
Fresh437
Picked325
Done022
Total1 498141 512
Accuracy
100.0%
Counts
1 512 → 14
Alt Table
Click to see full alt table
StatusAccuracyProgram
97.5%
(/.f64 (*.f64 (log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) f))) (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (PI.f64)))
99.5%
(/.f64 (log.f64 (tanh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64))))) (*.f64 #s(literal 1/4 binary64) (PI.f64)))
98.2%
(/.f64 (log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (fma.f64 (*.f64 f (fma.f64 #s(literal -1/24 binary64) (PI.f64) (*.f64 #s(literal 1/8 binary64) (PI.f64)))) f (/.f64 #s(literal 4 binary64) (PI.f64))) f))) (*.f64 #s(literal -1/4 binary64) (PI.f64)))
97.8%
(/.f64 (log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64)))) (*.f64 #s(literal 1/4 binary64) (PI.f64)))
97.6%
(*.f64 (/.f64 (log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64))))) (sqrt.f64 (PI.f64))) (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64))))
96.3%
(*.f64 (/.f64 #s(literal 4 binary64) (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)))) (log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) f))))
97.7%
(*.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) f))))
98.1%
(*.f64 (/.f64 #s(literal -4 binary64) (PI.f64)) (log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (fma.f64 (*.f64 f (fma.f64 #s(literal -1/24 binary64) (PI.f64) (*.f64 #s(literal 1/8 binary64) (PI.f64)))) f (/.f64 #s(literal 4 binary64) (PI.f64))) f))))
97.8%
(*.f64 (*.f64 (log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) f))) (/.f64 #s(literal 2 binary64) (sqrt.f64 (PI.f64)))) (/.f64 #s(literal 2 binary64) (sqrt.f64 (PI.f64))))
97.7%
(neg.f64 (*.f64 (*.f64 (/.f64 #s(literal 2 binary64) (sqrt.f64 (PI.f64))) (/.f64 #s(literal 2 binary64) (sqrt.f64 (PI.f64)))) (log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/192 binary64) (*.f64 (*.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64))) #s(literal -2 binary64) (*.f64 (*.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 1/16 binary64))) f) f (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))) f)))))
97.3%
(neg.f64 (*.f64 (*.f64 (/.f64 #s(literal 2 binary64) (sqrt.f64 (PI.f64))) (/.f64 #s(literal 2 binary64) (sqrt.f64 (PI.f64)))) (log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 #s(literal 4 binary64) (*.f64 f (PI.f64)))))))
97.6%
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (/.f64 (/.f64 #s(literal -4 binary64) (PI.f64)) (/.f64 #s(literal -1 binary64) (log.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))))))
97.5%
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (/.f64 #s(literal 4 binary64) (*.f64 (/.f64 #s(literal -1 binary64) (log.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64))))) (neg.f64 (PI.f64)))))
97.7%
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (/.f64 #s(literal -4 binary64) (/.f64 (neg.f64 (PI.f64)) (log.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))))))
Compiler

Compiled 2 049 to 541 computations (73.6% saved)

regimes61.0ms (0.4%)

Memory
8.0MiB live, 120.8MiB allocated
Counts
42 → 1
Calls
Call 1
Inputs
(*.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) f))))
(/.f64 (log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64)))) (*.f64 #s(literal 1/4 binary64) (PI.f64)))
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (*.f64 (neg.f64 (log.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (/.f64 #s(literal -4 binary64) (PI.f64))))
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (/.f64 #s(literal -4 binary64) (/.f64 (neg.f64 (PI.f64)) (log.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) f)))))
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (/.f64 #s(literal 4 binary64) (*.f64 (/.f64 #s(literal -1 binary64) (log.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64))))) (neg.f64 (PI.f64)))))
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (/.f64 (/.f64 #s(literal -4 binary64) (PI.f64)) (/.f64 #s(literal -1 binary64) (log.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))))))
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (log.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) f)))) (/.f64 #s(literal -4 binary64) (PI.f64))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal -1/4 binary64) (PI.f64)) (log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f)))))
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f)))))
(*.f64 (/.f64 #s(literal 4 binary64) (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)))) (log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) f))))
(/.f64 (log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64)))) (*.f64 #s(literal 1/4 binary64) (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)))))
(*.f64 (/.f64 (log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64))))) (sqrt.f64 (PI.f64))) (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64))))
(/.f64 (*.f64 (log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) f))) (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (PI.f64)))
(/.f64 (/.f64 (*.f64 (log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) f))) #s(literal 4 binary64)) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)))
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (log.f64 (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f)))) (/.f64 #s(literal -4 binary64) (PI.f64))))
(*.f64 (/.f64 #s(literal -4 binary64) (PI.f64)) (log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (fma.f64 (*.f64 f (fma.f64 #s(literal -1/24 binary64) (PI.f64) (*.f64 #s(literal 1/8 binary64) (PI.f64)))) f (/.f64 #s(literal 4 binary64) (PI.f64))) f))))
(/.f64 (log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (fma.f64 (*.f64 f (fma.f64 #s(literal -1/24 binary64) (PI.f64) (*.f64 #s(literal 1/8 binary64) (PI.f64)))) f (/.f64 #s(literal 4 binary64) (PI.f64))) f))) (*.f64 #s(literal -1/4 binary64) (PI.f64)))
(neg.f64 (*.f64 (/.f64 (neg.f64 (log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64))))) (sqrt.f64 (PI.f64))) (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64)))))
(*.f64 (*.f64 (log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) f))) (/.f64 #s(literal 2 binary64) (sqrt.f64 (PI.f64)))) (/.f64 #s(literal 2 binary64) (sqrt.f64 (PI.f64))))
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (/.f64 (/.f64 (*.f64 #s(literal -4 binary64) (log.f64 (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f))) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64))))
(neg.f64 (*.f64 (*.f64 (/.f64 #s(literal 2 binary64) (sqrt.f64 (PI.f64))) (/.f64 #s(literal 2 binary64) (sqrt.f64 (PI.f64)))) (log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 #s(literal 4 binary64) (*.f64 f (PI.f64)))))))
(neg.f64 (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (sqrt.f64 (PI.f64)))) (log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f)))))
(neg.f64 (*.f64 (*.f64 (/.f64 #s(literal 2 binary64) (sqrt.f64 (PI.f64))) (/.f64 #s(literal 2 binary64) (sqrt.f64 (PI.f64)))) (log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f)))))
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))) #s(literal 4 binary64))) (log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f)))))
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -2 binary64) (*.f64 (PI.f64) #s(literal 1/48 binary64)) (*.f64 #s(literal 1/8 binary64) (PI.f64))) f) f (/.f64 #s(literal 4 binary64) (PI.f64))) f)))))
(neg.f64 (*.f64 (*.f64 (/.f64 #s(literal 2 binary64) (sqrt.f64 (PI.f64))) (/.f64 #s(literal 2 binary64) (sqrt.f64 (PI.f64)))) (log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/192 binary64) (*.f64 (*.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64))) #s(literal -2 binary64) (*.f64 (*.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 1/16 binary64))) f) f (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))) f)))))
(/.f64 (log.f64 (tanh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64))))) (*.f64 #s(literal 1/4 binary64) (PI.f64)))
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (*.f64 (-.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (log.f64 f)) (/.f64 #s(literal -4 binary64) (PI.f64))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (log.f64 (tanh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))))
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (-.f64 (/.f64 (log.f64 #s(literal 4 binary64)) (*.f64 #s(literal -1/4 binary64) (PI.f64))) (/.f64 (log.f64 (*.f64 (PI.f64) f)) (*.f64 #s(literal -1/4 binary64) (PI.f64)))))
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (-.f64 (/.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (*.f64 #s(literal -1/4 binary64) (PI.f64))) (/.f64 (log.f64 f) (*.f64 #s(literal -1/4 binary64) (PI.f64)))))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (PI.f64)) (*.f64 (*.f64 #s(literal -1/4 binary64) (PI.f64)) (*.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) #s(literal -4 binary64)))) (*.f64 (*.f64 #s(literal -1/4 binary64) (PI.f64)) (PI.f64)))
(neg.f64 (*.f64 (/.f64 (neg.f64 (log.f64 (tanh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))))) (sqrt.f64 (PI.f64))) (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64)))))
(neg.f64 (/.f64 (*.f64 (neg.f64 (log.f64 (tanh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))))) (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (PI.f64))))
(*.f64 (pow.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) #s(literal 1/2 binary64)) (*.f64 (pow.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) #s(literal 1/2 binary64)) (log.f64 (tanh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))))))
(-.f64 (/.f64 (log.f64 (*.f64 (cosh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))) #s(literal 2 binary64))) (*.f64 #s(literal -1/4 binary64) (PI.f64))) (/.f64 (log.f64 (*.f64 (sinh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))) #s(literal 2 binary64))) (*.f64 #s(literal -1/4 binary64) (PI.f64))))
(*.f64 (neg.f64 (pow.f64 (*.f64 (log.f64 (tanh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64))))) (/.f64 #s(literal -4 binary64) (PI.f64))) #s(literal 2 binary64))) (/.f64 (*.f64 #s(literal -1/4 binary64) (PI.f64)) (log.f64 (tanh.f64 (*.f64 f (*.f64 #s(literal 1/4 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))))))))
(neg.f64 (/.f64 (*.f64 (-.f64 (pow.f64 (log.f64 (*.f64 (cosh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))) #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (log.f64 (*.f64 (sinh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))) #s(literal 2 binary64))) #s(literal 3 binary64))) #s(literal 4 binary64)) (*.f64 (+.f64 (pow.f64 (log.f64 (*.f64 (cosh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))) #s(literal 2 binary64))) #s(literal 2 binary64)) (*.f64 (log.f64 (*.f64 (sinh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))) #s(literal 2 binary64))) (+.f64 (log.f64 (*.f64 (sinh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))) #s(literal 2 binary64))) (log.f64 (*.f64 (cosh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))) #s(literal 2 binary64)))))) (PI.f64))))
(neg.f64 (/.f64 (*.f64 (pow.f64 (PI.f64) #s(literal -1 binary64)) (-.f64 (pow.f64 (log.f64 (*.f64 (cosh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))) #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (log.f64 (*.f64 (sinh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))) #s(literal 2 binary64))) #s(literal 3 binary64)))) (*.f64 #s(literal 1/4 binary64) (+.f64 (pow.f64 (log.f64 (*.f64 (cosh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))) #s(literal 2 binary64))) #s(literal 2 binary64)) (*.f64 (log.f64 (*.f64 (sinh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))) #s(literal 2 binary64))) (+.f64 (log.f64 (*.f64 (sinh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))) #s(literal 2 binary64))) (log.f64 (*.f64 (cosh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))) #s(literal 2 binary64)))))))))
Outputs
(/.f64 (log.f64 (tanh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64))))) (*.f64 #s(literal 1/4 binary64) (PI.f64)))
Calls

6 calls:

12.0ms
f
10.0ms
(*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)
9.0ms
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))))))
8.0ms
(/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))))
8.0ms
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))))))
Results
AccuracySegmentsBranch
99.5%1f
99.5%1(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))))))
99.5%1(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))))))
99.5%1(log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))))
99.5%1(/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))))
99.5%1(*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)
Compiler

Compiled 138 to 60 computations (56.5% saved)

regimes95.0ms (0.7%)

Memory
-18.1MiB live, 59.5MiB allocated
Counts
27 → 1
Calls
Call 1
Inputs
(*.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) f))))
(/.f64 (log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64)))) (*.f64 #s(literal 1/4 binary64) (PI.f64)))
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (*.f64 (neg.f64 (log.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (/.f64 #s(literal -4 binary64) (PI.f64))))
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (/.f64 #s(literal -4 binary64) (/.f64 (neg.f64 (PI.f64)) (log.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) f)))))
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (/.f64 #s(literal 4 binary64) (*.f64 (/.f64 #s(literal -1 binary64) (log.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64))))) (neg.f64 (PI.f64)))))
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (/.f64 (/.f64 #s(literal -4 binary64) (PI.f64)) (/.f64 #s(literal -1 binary64) (log.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))))))
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (log.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) f)))) (/.f64 #s(literal -4 binary64) (PI.f64))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal -1/4 binary64) (PI.f64)) (log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f)))))
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f)))))
(*.f64 (/.f64 #s(literal 4 binary64) (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)))) (log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) f))))
(/.f64 (log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64)))) (*.f64 #s(literal 1/4 binary64) (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)))))
(*.f64 (/.f64 (log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64))))) (sqrt.f64 (PI.f64))) (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64))))
(/.f64 (*.f64 (log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) f))) (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (PI.f64)))
(/.f64 (/.f64 (*.f64 (log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) f))) #s(literal 4 binary64)) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)))
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (log.f64 (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f)))) (/.f64 #s(literal -4 binary64) (PI.f64))))
(*.f64 (/.f64 #s(literal -4 binary64) (PI.f64)) (log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (fma.f64 (*.f64 f (fma.f64 #s(literal -1/24 binary64) (PI.f64) (*.f64 #s(literal 1/8 binary64) (PI.f64)))) f (/.f64 #s(literal 4 binary64) (PI.f64))) f))))
(/.f64 (log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (fma.f64 (*.f64 f (fma.f64 #s(literal -1/24 binary64) (PI.f64) (*.f64 #s(literal 1/8 binary64) (PI.f64)))) f (/.f64 #s(literal 4 binary64) (PI.f64))) f))) (*.f64 #s(literal -1/4 binary64) (PI.f64)))
(neg.f64 (*.f64 (/.f64 (neg.f64 (log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64))))) (sqrt.f64 (PI.f64))) (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64)))))
(*.f64 (*.f64 (log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) f))) (/.f64 #s(literal 2 binary64) (sqrt.f64 (PI.f64)))) (/.f64 #s(literal 2 binary64) (sqrt.f64 (PI.f64))))
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (/.f64 (/.f64 (*.f64 #s(literal -4 binary64) (log.f64 (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f))) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64))))
(neg.f64 (*.f64 (*.f64 (/.f64 #s(literal 2 binary64) (sqrt.f64 (PI.f64))) (/.f64 #s(literal 2 binary64) (sqrt.f64 (PI.f64)))) (log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 #s(literal 4 binary64) (*.f64 f (PI.f64)))))))
(neg.f64 (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (sqrt.f64 (PI.f64)))) (log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f)))))
(neg.f64 (*.f64 (*.f64 (/.f64 #s(literal 2 binary64) (sqrt.f64 (PI.f64))) (/.f64 #s(literal 2 binary64) (sqrt.f64 (PI.f64)))) (log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f)))))
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))) #s(literal 4 binary64))) (log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f)))))
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -2 binary64) (*.f64 (PI.f64) #s(literal 1/48 binary64)) (*.f64 #s(literal 1/8 binary64) (PI.f64))) f) f (/.f64 #s(literal 4 binary64) (PI.f64))) f)))))
(neg.f64 (*.f64 (*.f64 (/.f64 #s(literal 2 binary64) (sqrt.f64 (PI.f64))) (/.f64 #s(literal 2 binary64) (sqrt.f64 (PI.f64)))) (log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/192 binary64) (*.f64 (*.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64))) #s(literal -2 binary64) (*.f64 (*.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 1/16 binary64))) f) f (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))) f)))))
Outputs
(/.f64 (log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (fma.f64 (*.f64 f (fma.f64 #s(literal -1/24 binary64) (PI.f64) (*.f64 #s(literal 1/8 binary64) (PI.f64)))) f (/.f64 #s(literal 4 binary64) (PI.f64))) f))) (*.f64 #s(literal -1/4 binary64) (PI.f64)))
Calls

6 calls:

63.0ms
(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
(*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)
7.0ms
f
5.0ms
(*.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)))))))
5.0ms
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))))))
Results
AccuracySegmentsBranch
98.2%1f
98.2%1(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))))))
98.2%1(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))))))
98.2%1(log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))))
98.2%1(/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))))
98.2%1(*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)
Compiler

Compiled 138 to 60 computations (56.5% saved)

regimes73.0ms (0.5%)

Memory
-28.6MiB live, 47.4MiB allocated
Counts
17 → 1
Calls
Call 1
Inputs
(*.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) f))))
(/.f64 (log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64)))) (*.f64 #s(literal 1/4 binary64) (PI.f64)))
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (*.f64 (neg.f64 (log.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (/.f64 #s(literal -4 binary64) (PI.f64))))
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (/.f64 #s(literal -4 binary64) (/.f64 (neg.f64 (PI.f64)) (log.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) f)))))
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (/.f64 #s(literal 4 binary64) (*.f64 (/.f64 #s(literal -1 binary64) (log.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64))))) (neg.f64 (PI.f64)))))
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (/.f64 (/.f64 #s(literal -4 binary64) (PI.f64)) (/.f64 #s(literal -1 binary64) (log.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))))))
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (log.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) f)))) (/.f64 #s(literal -4 binary64) (PI.f64))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal -1/4 binary64) (PI.f64)) (log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f)))))
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f)))))
(*.f64 (/.f64 #s(literal 4 binary64) (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)))) (log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) f))))
(/.f64 (log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64)))) (*.f64 #s(literal 1/4 binary64) (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)))))
(*.f64 (/.f64 (log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64))))) (sqrt.f64 (PI.f64))) (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64))))
(/.f64 (*.f64 (log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) f))) (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (PI.f64)))
(/.f64 (/.f64 (*.f64 (log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) f))) #s(literal 4 binary64)) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)))
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (log.f64 (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f)))) (/.f64 #s(literal -4 binary64) (PI.f64))))
(*.f64 (/.f64 #s(literal -4 binary64) (PI.f64)) (log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (fma.f64 (*.f64 f (fma.f64 #s(literal -1/24 binary64) (PI.f64) (*.f64 #s(literal 1/8 binary64) (PI.f64)))) f (/.f64 #s(literal 4 binary64) (PI.f64))) f))))
Outputs
(*.f64 (/.f64 #s(literal -4 binary64) (PI.f64)) (log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (fma.f64 (*.f64 f (fma.f64 #s(literal -1/24 binary64) (PI.f64) (*.f64 #s(literal 1/8 binary64) (PI.f64)))) f (/.f64 #s(literal 4 binary64) (PI.f64))) f))))
Calls

6 calls:

32.0ms
f
26.0ms
(*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)
4.0ms
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))))))
4.0ms
(log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))))
4.0ms
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))))))
Results
AccuracySegmentsBranch
98.1%1f
98.1%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))))))))
98.1%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)))))))
98.1%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))))))
98.1%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)))))
98.1%1(*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)
Compiler

Compiled 138 to 60 computations (56.5% saved)

regimes27.0ms (0.2%)

Memory
20.2MiB live, 57.1MiB allocated
Counts
16 → 1
Calls
Call 1
Inputs
(*.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) f))))
(/.f64 (log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64)))) (*.f64 #s(literal 1/4 binary64) (PI.f64)))
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (*.f64 (neg.f64 (log.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (/.f64 #s(literal -4 binary64) (PI.f64))))
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (/.f64 #s(literal -4 binary64) (/.f64 (neg.f64 (PI.f64)) (log.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) f)))))
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (/.f64 #s(literal 4 binary64) (*.f64 (/.f64 #s(literal -1 binary64) (log.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64))))) (neg.f64 (PI.f64)))))
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (/.f64 (/.f64 #s(literal -4 binary64) (PI.f64)) (/.f64 #s(literal -1 binary64) (log.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))))))
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (log.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) f)))) (/.f64 #s(literal -4 binary64) (PI.f64))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal -1/4 binary64) (PI.f64)) (log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f)))))
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f)))))
(*.f64 (/.f64 #s(literal 4 binary64) (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)))) (log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) f))))
(/.f64 (log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64)))) (*.f64 #s(literal 1/4 binary64) (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)))))
(*.f64 (/.f64 (log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64))))) (sqrt.f64 (PI.f64))) (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64))))
(/.f64 (*.f64 (log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) f))) (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (PI.f64)))
(/.f64 (/.f64 (*.f64 (log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) f))) #s(literal 4 binary64)) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)))
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (log.f64 (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f)))) (/.f64 #s(literal -4 binary64) (PI.f64))))
Outputs
(/.f64 (log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64)))) (*.f64 #s(literal 1/4 binary64) (PI.f64)))
Calls

6 calls:

6.0ms
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))))))
4.0ms
(*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)
4.0ms
f
4.0ms
(log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))))
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
97.8%1f
97.8%1(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))))))
97.8%1(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))))))
97.8%1(log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))))
97.8%1(/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))))
97.8%1(*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)
Compiler

Compiled 138 to 60 computations (56.5% saved)

regimes7.0ms (0%)

Memory
18.1MiB live, 18.1MiB allocated
Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

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

6 calls:

1.0ms
(*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)
1.0ms
f
1.0ms
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))))))
1.0ms
(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
97.7%1f
97.7%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))))))))
97.7%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)))))))
97.7%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))))))
97.7%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)))))
97.7%1(*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)
Compiler

Compiled 138 to 60 computations (56.5% saved)

simplify70.0ms (0.5%)

Memory
-29.1MiB live, 86.4MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
046145
186145
2183145
3371145
4665145
51192145
63262145
Stop Event
node limit
Calls
Call 1
Inputs
(/.f64 (log.f64 (tanh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64))))) (*.f64 #s(literal 1/4 binary64) (PI.f64)))
(/.f64 (log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (fma.f64 (*.f64 f (fma.f64 #s(literal -1/24 binary64) (PI.f64) (*.f64 #s(literal 1/8 binary64) (PI.f64)))) f (/.f64 #s(literal 4 binary64) (PI.f64))) f))) (*.f64 #s(literal -1/4 binary64) (PI.f64)))
(*.f64 (/.f64 #s(literal -4 binary64) (PI.f64)) (log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (fma.f64 (*.f64 f (fma.f64 #s(literal -1/24 binary64) (PI.f64) (*.f64 #s(literal 1/8 binary64) (PI.f64)))) f (/.f64 #s(literal 4 binary64) (PI.f64))) f))))
(/.f64 (log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64)))) (*.f64 #s(literal 1/4 binary64) (PI.f64)))
(*.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) f))))
Outputs
(/.f64 (log.f64 (tanh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64))))) (*.f64 #s(literal 1/4 binary64) (PI.f64)))
(/.f64 (log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (fma.f64 (*.f64 f (fma.f64 #s(literal -1/24 binary64) (PI.f64) (*.f64 #s(literal 1/8 binary64) (PI.f64)))) f (/.f64 #s(literal 4 binary64) (PI.f64))) f))) (*.f64 #s(literal -1/4 binary64) (PI.f64)))
(*.f64 (/.f64 #s(literal -4 binary64) (PI.f64)) (log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (fma.f64 (*.f64 f (fma.f64 #s(literal -1/24 binary64) (PI.f64) (*.f64 #s(literal 1/8 binary64) (PI.f64)))) f (/.f64 #s(literal 4 binary64) (PI.f64))) f))))
(/.f64 (log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64)))) (*.f64 #s(literal 1/4 binary64) (PI.f64)))
(*.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) f))))

soundness723.0ms (5%)

Memory
1.6MiB live, 644.8MiB allocated
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
059371
092247
1382238
22355238
08290238
03743177
111992485
251771856
084481739
0171707
1484581
21856453
37163413
08247395
062398
099309
1354298
22342297
08989293
016129
02987
111949
278449
0856749
Stop Event
fuel
iter limit
node limit
iter limit
iter limit
node limit
iter limit
iter limit
node limit
iter limit
node limit
iter limit
node limit
iter limit
Compiler

Compiled 420 to 189 computations (55% saved)

preprocess34.0ms (0.2%)

Memory
26.2MiB live, 64.5MiB allocated
Compiler

Compiled 364 to 128 computations (64.8% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

Loading profile data...