VandenBroeck and Keller, Equation (20)

Time bar (total: 15.6s)

start0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated

analyze205.0ms (1.3%)

Memory
20.5MiB live, 253.5MiB 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)

sample7.1s (45.3%)

Memory
116.8MiB live, 7 332.1MiB allocated
Samples
2.9s7 610×1valid
2.3s7 076×1invalid
387.0ms144×2valid
56.0ms502×0valid
1.0ms0invalid
0.0ms0exit
Precisions
Click to see histograms. Total time spent on operations: 5.0s
ival-exp: 1.3s (26% of total)
ival-div: 995.0ms (20% of total)
adjust: 705.0ms (14.2% of total)
ival-mult: 541.0ms (10.9% of total)
ival-log: 427.0ms (8.6% of total)
ival-neg: 326.0ms (6.6% of total)
ival-pi: 268.0ms (5.4% of total)
ival-add: 198.0ms (4% of total)
ival-sub: 185.0ms (3.7% of total)
exact: 16.0ms (0.3% of total)
ival-true: 11.0ms (0.2% of total)
ival-assert: 6.0ms (0.1% of total)
Bogosity

explain462.0ms (3%)

Memory
-19.4MiB live, 259.7MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
2540-0-(-.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))))
20-0-(/.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))
02(10326299.154241314)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))))cancellation2540
/.f64(/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (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/o20
(exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))overflow2
(+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))overflow2
(exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))overflow2
(-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))overflow2
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))))))sensitivity20
Confusion
Predicted +Predicted -
+2540
-20
Precision
0.9921875
Recall
1.0
Confusion?
Predicted +Predicted MaybePredicted -
+25400
-200
Precision?
0.9921875
Recall?
1.0
Freqs
test
numberfreq
1254
22
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
181.0ms474×1valid
4.0ms34×0valid
4.0ms2valid
Compiler

Compiled 629 to 68 computations (89.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 157.0ms
ival-exp: 48.0ms (30.6% of total)
ival-div: 41.0ms (26.1% of total)
ival-mult: 21.0ms (13.4% of total)
adjust: 11.0ms (7% of total)
ival-log: 11.0ms (7% of total)
ival-neg: 8.0ms (5.1% of total)
ival-pi: 5.0ms (3.2% of total)
ival-sub: 5.0ms (3.2% of total)
ival-add: 5.0ms (3.2% of total)
exact: 1.0ms (0.6% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

preprocess439.0ms (2.8%)

Memory
34.4MiB live, 225.8MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01881
15364
216364
345864
487864
5120064
6144064
7153764
8177064
9189764
10216152
11248150
12271550
13312650
14376550
15452550
16527350
17648450
18675850
19677050
20747050
01637
02937
15832
213332
327832
440832
551332
660732
774232
885032
9106432
10128832
11142032
12155932
13166532
14187332
15228532
16314232
17466825
18541125
19761725
0844722
Stop Event
iter limit
node limit
iter limit
node limit
Calls
Call 1
Inputs
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))))))
Outputs
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))))))
(*.f64 (/.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
0.4MiB live, 0.4MiB allocated
Compiler

Compiled 0 to 1 computations (-∞% saved)

prune1.0ms (0%)

Memory
1.5MiB live, 1.5MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
6.9%
(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)

simplify258.0ms (1.7%)

Memory
0.8MiB live, 151.9MiB 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
4408177
5513177
6607177
7742177
8850177
91064177
101288177
111420177
121559177
131665177
141873177
152285177
163142177
174668149
185411149
197617149
08447137
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))))))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64)))
#s(literal 1 binary64)
(/.f64 (PI.f64) #s(literal 4 binary64))
(PI.f64)
#s(literal 4 binary64)
(log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))))
(/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))))
(+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))
(exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))
(*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)
f
(exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))
(neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))
(-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))
Outputs
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))))))
(*.f64 (/.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))))

localize341.0ms (2.2%)

Memory
-14.3MiB live, 193.0MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0.20703125
(*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)
accuracy0.42578125
(*.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)))))))
accuracy0.7304742521016504
(/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))))
accuracy57.80003252615486
(-.f64 (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
260.0ms237×1valid
2.0ms17×0valid
2.0ms2valid
Compiler

Compiled 394 to 34 computations (91.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 189.0ms
ival-log: 90.0ms (47.6% of total)
ival-add: 52.0ms (27.5% of total)
ival-exp: 16.0ms (8.5% of total)
ival-div: 9.0ms (4.8% of total)
adjust: 6.0ms (3.2% of total)
ival-mult: 6.0ms (3.2% of total)
ival-neg: 4.0ms (2.1% of total)
ival-pi: 2.0ms (1.1% of total)
ival-sub: 2.0ms (1.1% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series390.0ms (2.5%)

Memory
-16.3MiB live, 217.2MiB allocated
Counts
7 → 60
Calls
Call 1
Inputs
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#s(alt (/.f64 (PI.f64) #s(literal 4 binary64)) (patch (/.f64 (PI.f64) #s(literal 4 binary64)) #<representation binary64>) () ())
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#s(alt (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f) (patch (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f) #<representation binary64>) () ())
Outputs
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#s(alt (* 1/4 (* f (PI))) (taylor -inf f) (#s(alt (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f) (patch (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f) #<representation binary64>) () ())) ())
#s(alt (* 1/4 (* f (PI))) (taylor -inf f) (#s(alt (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f) (patch (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f) #<representation binary64>) () ())) ())
Calls

3 calls:

TimeVariablePointExpression
342.0ms
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))
38.0ms
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))
6.0ms
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))

simplify166.0ms (1.1%)

Memory
-22.3MiB live, 285.8MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01711490
14841364
217541236
370671196
091941178
Stop Event
iter limit
node limit
Counts
60 → 60
Calls
Call 1
Inputs
(/ 2 (* f (- (* 1/4 (PI)) (* -1/4 (PI)))))
(/ (+ (* f (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))))) (* 2 (/ 1 (- (* 1/4 (PI)) (* -1/4 (PI)))))) f)
(/ (+ (* f (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (+ (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* f (- (* 1/16 (/ (pow (PI) 2) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 2 (/ (- (* 1/384 (pow (PI) 3)) (* -1/384 (pow (PI) 3))) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 2)))))))) (* 2 (/ 1 (- (* 1/4 (PI)) (* -1/4 (PI)))))) f)
(/ (+ (* f (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (+ (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* f (- (+ (* 1/16 (/ (pow (PI) 2) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* f (- (+ (* -1/384 (/ (pow (PI) 3) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/384 (/ (pow (PI) 3) (- (* 1/4 (PI)) (* -1/4 (PI)))))) (/ (* (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI)))))) (- (* 1/384 (pow (PI) 3)) (* -1/384 (pow (PI) 3)))) (- (* 1/4 (PI)) (* -1/4 (PI))))))) (* 2 (/ (- (* 1/384 (pow (PI) 3)) (* -1/384 (pow (PI) 3))) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 2)))))))) (* 2 (/ 1 (- (* 1/4 (PI)) (* -1/4 (PI)))))) f)
(* -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)))
(* 1/4 (* f (PI)))
(* 1/4 (* f (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)))))))
(/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI)))))))
(/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI)))))))
(/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI)))))))
(* -4 (/ (log (/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI)))))))) (PI)))
(* -4 (/ (log (/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI)))))))) (PI)))
(* -4 (/ (log (/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI)))))))) (PI)))
(* -4 (/ (log (/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI)))))))) (PI)))
(- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI))))))
(- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI))))))
(- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI))))))
(- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI))))))
(* 4 (/ (log (/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI)))))))) (PI)))
(* 4 (/ (log (/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI)))))))) (PI)))
(* 4 (/ (log (/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI)))))))) (PI)))
(* 4 (/ (log (/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI)))))))) (PI)))
(* 1/4 (* f (PI)))
(* 1/4 (* f (PI)))
(* 1/4 (* f (PI)))
(* 1/4 (* f (PI)))
(/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI)))))))
(/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI)))))))
(/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI)))))))
(/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI)))))))
(* -4 (/ (log (/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI)))))))) (PI)))
(* -4 (/ (log (/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI)))))))) (PI)))
(* -4 (/ (log (/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI)))))))) (PI)))
(* -4 (/ (log (/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI)))))))) (PI)))
(- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI))))))
(- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI))))))
(- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI))))))
(- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI))))))
(* 4 (/ (log (/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI)))))))) (PI)))
(* 4 (/ (log (/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI)))))))) (PI)))
(* 4 (/ (log (/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI)))))))) (PI)))
(* 4 (/ (log (/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI)))))))) (PI)))
(* 1/4 (* f (PI)))
(* 1/4 (* f (PI)))
(* 1/4 (* f (PI)))
(* 1/4 (* f (PI)))
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)))
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(* -4 (/ (log (/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI)))))))) (PI)))
(*.f64 (log.f64 (/.f64 (+.f64 (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)))
(* -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)))
(* -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)))
(- (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)))
(- (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)))
(- (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)))
(* 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)))
(* 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)))
(* 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)))
(* 1/4 (* f (PI)))
(*.f64 (*.f64 #s(literal 1/4 binary64) f) (PI.f64))
(* 1/4 (* f (PI)))
(*.f64 (*.f64 #s(literal 1/4 binary64) f) (PI.f64))
(* 1/4 (* f (PI)))
(*.f64 (*.f64 #s(literal 1/4 binary64) f) (PI.f64))
(* 1/4 (* f (PI)))
(*.f64 (*.f64 #s(literal 1/4 binary64) f) (PI.f64))

rewrite205.0ms (1.3%)

Memory
14.4MiB live, 300.5MiB allocated
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
016129
02987
111949
278349
0856149
Stop Event
iter limit
node limit
iter limit
Counts
7 → 556
Calls
Call 1
Inputs
(/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))))
(/.f64 (PI.f64) #s(literal 4 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64)))
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))))))
(-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))))))
(*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)
Outputs
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eval225.0ms (1.4%)

Memory
0.3MiB live, 502.0MiB allocated
Compiler

Compiled 39 736 to 4 678 computations (88.2% saved)

prune44.0ms (0.3%)

Memory
8.4MiB live, 101.7MiB allocated
Pruning

14 alts after pruning (14 fresh and 0 done)

PrunedKeptTotal
New95814972
Fresh000
Picked101
Done000
Total95914973
Accuracy
100.0%
Counts
973 → 14
Alt Table
Click to see full alt table
StatusAccuracyProgram
98.4%
(/.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 3 binary64))) (+.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)) #s(literal 0 binary64)))
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)))
98.3%
(/.f64 #s(literal 1 binary64) (/.f64 (+.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)) #s(literal 0 binary64)) (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 3 binary64)))))
99.3%
(/.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)))))))
98.5%
(-.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))))
99.4%
(*.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)))))))
98.3%
(*.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 3 binary64))) (/.f64 #s(literal 1 binary64) (+.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)) #s(literal 0 binary64))))
98.2%
(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))))
99.3%
(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 #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))))))
99.2%
(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)))))
98.4%
(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)))))
97.9%
(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)))))
98.0%
#s(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 670 to 430 computations (35.8% saved)

simplify120.0ms (0.8%)

Memory
15.6MiB live, 207.9MiB allocated
Algorithm
egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(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 3 binary64))
cost-diff128
(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 3 binary64)))
cost-diff192
(+.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)) #s(literal 0 binary64))
cost-diff28096
(/.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 3 binary64))) (+.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)) #s(literal 0 binary64)))
cost-diff0
(neg.f64 (log.f64 (tanh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64))))))
cost-diff128
(*.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))))
cost-diff128
(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))))
cost-diff1984
(/.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)))
cost-diff0
(PI.f64)
cost-diff0
(*.f64 #s(literal 1/4 binary64) (PI.f64))
cost-diff0
(/.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (log.f64 (tanh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64))))))
cost-diff704
(/.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)))))))
cost-diff0
(/.f64 (PI.f64) #s(literal 4 binary64))
cost-diff0
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 #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-diff704
(/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64)))
cost-diff0
(*.f64 f (*.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: 4 (0.0ms)

IterNodesCost
046472
074450
1162433
2458422
32269422
45707421
08264421
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
(/.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)))))))
#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 1/4 binary64) (PI.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
(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 (*.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 (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))))
(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)
(/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64)))
#s(literal 4 binary64)
(sqrt.f64 (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 3 binary64))) (+.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)) #s(literal 0 binary64)))
(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 3 binary64)))
(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 3 binary64))
(*.f64 (log.f64 (tanh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64))))) (/.f64 #s(literal -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)
(/.f64 #s(literal -4 binary64) (PI.f64))
#s(literal -4 binary64)
#s(literal 3 binary64)
(+.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)) #s(literal 0 binary64))
(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))
#s(literal 2 binary64)
#s(literal 0 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 (PI.f64) #s(literal 1/4 binary64)) f))))
(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)))
(tanh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64))))
(tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))
(*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))
(*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)
f
(*.f64 #s(literal 1/4 binary64) (PI.f64))
(*.f64 (PI.f64) #s(literal 1/4 binary64))
#s(literal 1/4 binary64)
(PI.f64)
(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))
(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
(/.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 (/.f64 #s(literal 4 binary64) (PI.f64)) (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))))
#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 (*.f64 (PI.f64) #s(literal 1/4 binary64)) (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))))
(*.f64 #s(literal 1/4 binary64) (PI.f64))
(*.f64 (PI.f64) #s(literal 1/4 binary64))
#s(literal 1/4 binary64)
(PI.f64)
(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)))
(tanh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64))))
(tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))
(*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))
(*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)
f
(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 (/.f64 #s(literal 4 binary64) (PI.f64)) (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))))
(/.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 (/.f64 #s(literal -4 binary64) (PI.f64)) (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))))
(*.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))))
(*.f64 (/.f64 #s(literal -4 binary64) (sqrt.f64 (PI.f64))) (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))))
(neg.f64 (log.f64 (tanh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64))))))
(neg.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)))))
(log.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))))
(tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))
(*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))
(*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)
f
(*.f64 #s(literal 1/4 binary64) (PI.f64))
(*.f64 (PI.f64) #s(literal 1/4 binary64))
#s(literal 1/4 binary64)
(PI.f64)
(/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64)))
#s(literal 4 binary64)
(sqrt.f64 (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 3 binary64))) (+.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)) #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))))
(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 3 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))
(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 3 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 (log.f64 (tanh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64))))) (/.f64 #s(literal -4 binary64) (PI.f64)))
(*.f64 (/.f64 #s(literal -4 binary64) (PI.f64)) (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))))
(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)))
(tanh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64))))
(tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))
(*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))
(*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)
f
(*.f64 #s(literal 1/4 binary64) (PI.f64))
(*.f64 (PI.f64) #s(literal 1/4 binary64))
#s(literal 1/4 binary64)
(PI.f64)
(/.f64 #s(literal -4 binary64) (PI.f64))
#s(literal -4 binary64)
#s(literal 3 binary64)
(+.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)) #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 2 binary64))
(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))
(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 2 binary64))
#s(literal 2 binary64)
#s(literal 0 binary64)

localize280.0ms (1.8%)

Memory
7.4MiB live, 608.3MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0.42578125
(*.f64 (log.f64 (tanh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64))))) (/.f64 #s(literal -4 binary64) (PI.f64)))
accuracy0.4616012695368841
(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))
accuracy0.4843632076963094
(PI.f64)
accuracy0.6176339356003985
(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 3 binary64))
accuracy0.30859375
(*.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))))
accuracy0.3671875
(/.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)))
accuracy0.4843632076963094
(PI.f64)
accuracy0.9921875
(sqrt.f64 (PI.f64))
accuracy0.20703125
(*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))
accuracy0.25390625
(/.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)))))))
accuracy0.3671875
(/.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (log.f64 (tanh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64))))))
accuracy0.4843632076963094
(PI.f64)
accuracy0.3828125
(/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f)
accuracy0.42578125
(*.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))))
accuracy0.4843632076963094
(PI.f64)
accuracy0.5190540832311302
#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))
accuracy0.00390625
(tanh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64))))
accuracy0.20703125
(*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))
accuracy0.33203125
(/.f64 (log.f64 (tanh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64))))) (*.f64 #s(literal 1/4 binary64) (PI.f64)))
accuracy0.4843632076963094
(PI.f64)
Samples
205.0ms237×1valid
16.0ms4exit
5.0ms17×0valid
Compiler

Compiled 806 to 82 computations (89.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 170.0ms
ival-div: 46.0ms (27.1% of total)
ival-log: 22.0ms (13% of total)
ival-mult: 20.0ms (11.8% of total)
ival-exp: 17.0ms (10% of total)
ival-tanh: 14.0ms (8.3% of total)
adjust: 11.0ms (6.5% of total)
ival-neg: 10.0ms (5.9% of total)
ival-pi: 7.0ms (4.1% of total)
ival-pow: 7.0ms (4.1% of total)
ival-pow2: 5.0ms (2.9% of total)
ival-add: 5.0ms (2.9% of total)
ival-sqrt: 3.0ms (1.8% of total)
ival-sub: 2.0ms (1.2% of total)
exact: 1.0ms (0.6% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series164.0ms (1.1%)

Memory
-6.1MiB live, 306.9MiB allocated
Counts
25 → 240
Calls
Call 1
Inputs
#s(alt (/.f64 (log.f64 (tanh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64))))) (*.f64 #s(literal 1/4 binary64) (PI.f64))) (patch (/.f64 (log.f64 (tanh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64))))) (*.f64 #s(literal 1/4 binary64) (PI.f64))) #<representation binary64>) () ())
#s(alt (log.f64 (tanh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64))))) (patch (log.f64 (tanh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64))))) #<representation binary64>) () ())
#s(alt (tanh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))) (patch (tanh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))) #<representation binary64>) () ())
#s(alt (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64))) (patch (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64))) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (patch (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) #<representation binary64>) () ())
#s(alt (neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 #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))))) (patch (neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f))))) #<representation binary64>) () ())
#s(alt (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f)))) (patch (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f)))) #<representation binary64>) () ())
#s(alt (/.f64 (PI.f64) #s(literal 4 binary64)) (patch (/.f64 (PI.f64) #s(literal 4 binary64)) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (log.f64 (tanh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64))))))) (patch (/.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))))))) #<representation binary64>) () ())
#s(alt (/.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (log.f64 (tanh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))))) (patch (/.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (log.f64 (tanh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))))) #<representation binary64>) () ())
#s(alt (*.f64 #s(literal 1/4 binary64) (PI.f64)) (patch (*.f64 #s(literal 1/4 binary64) (PI.f64)) #<representation binary64>) () ())
#s(alt (PI.f64) (patch (PI.f64) #<representation binary64>) () ())
#s(alt (/.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))) (patch (/.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))) #<representation binary64>) () ())
#s(alt (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)))) (patch (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)))) #<representation binary64>) () ())
#s(alt (*.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)))) (patch (*.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)))) #<representation binary64>) () ())
#s(alt (neg.f64 (log.f64 (tanh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))))) (patch (neg.f64 (log.f64 (tanh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))))) #<representation binary64>) () ())
#s(alt (/.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 3 binary64))) (+.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)) #s(literal 0 binary64))) (patch (/.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 3 binary64))) (+.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)) #s(literal 0 binary64))) #<representation binary64>) () ())
#s(alt (+.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)) #s(literal 0 binary64)) (patch (+.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)) #s(literal 0 binary64)) #<representation binary64>) () ())
#s(alt (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 3 binary64))) (patch (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 3 binary64))) #<representation binary64>) () ())
#s(alt (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 3 binary64)) (patch (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 3 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f)) (patch #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)) #<representation binary64>) () ())
#s(alt (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f) (patch (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f) #<representation binary64>) () ())
#s(alt (sqrt.f64 (PI.f64)) (patch (sqrt.f64 (PI.f64)) #<representation binary64>) () ())
#s(alt (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)) (patch (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)) #<representation binary64>) () ())
#s(alt (*.f64 (log.f64 (tanh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64))))) (/.f64 #s(literal -4 binary64) (PI.f64))) (patch (*.f64 (log.f64 (tanh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64))))) (/.f64 #s(literal -4 binary64) (PI.f64))) #<representation binary64>) () ())
Outputs
#s(alt (* 4 (/ (+ (log f) (log (* 1/4 (PI)))) (PI))) (taylor 0 f) (#s(alt (/.f64 (log.f64 (tanh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64))))) (*.f64 #s(literal 1/4 binary64) (PI.f64))) (patch (/.f64 (log.f64 (tanh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64))))) (*.f64 #s(literal 1/4 binary64) (PI.f64))) #<representation binary64>) () ())) ())
#s(alt (+ (* 4 (/ (+ (log f) (log (* 1/4 (PI)))) (PI))) (* 8 (/ (* f (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2)))) (pow (PI) 2)))) (taylor 0 f) (#s(alt (/.f64 (log.f64 (tanh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64))))) (*.f64 #s(literal 1/4 binary64) (PI.f64))) (patch (/.f64 (log.f64 (tanh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64))))) (*.f64 #s(literal 1/4 binary64) (PI.f64))) #<representation binary64>) () ())) ())
#s(alt (+ (* 4 (/ (+ (log f) (log (* 1/4 (PI)))) (PI))) (* f (+ (* 2 (/ (* f (+ (* -4 (/ (pow (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) 2) (pow (PI) 2))) (* 8 (/ (- (* 1/2 (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (+ (* -1/128 (pow (PI) 3)) (* 1/192 (pow (PI) 3))))) (* 1/128 (pow (PI) 3))) (PI))))) (PI))) (* 8 (/ (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) (pow (PI) 2)))))) (taylor 0 f) (#s(alt (/.f64 (log.f64 (tanh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64))))) (*.f64 #s(literal 1/4 binary64) (PI.f64))) (patch (/.f64 (log.f64 (tanh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64))))) (*.f64 #s(literal 1/4 binary64) (PI.f64))) #<representation binary64>) () ())) ())
#s(alt (+ (* 4 (/ (+ (log f) (log (* 1/4 (PI)))) (PI))) (* f (+ (* 8 (/ (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) (pow (PI) 2))) (* f (+ (* 2/3 (/ (* f (+ (* -48 (/ (* (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) (- (* 1/2 (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (+ (* -1/128 (pow (PI) 3)) (* 1/192 (pow (PI) 3))))) (* 1/128 (pow (PI) 3)))) (pow (PI) 2))) (+ (* 16 (/ (pow (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) 3) (pow (PI) 3))) (* 24 (/ (- (* 1/2 (+ (* -1/4 (* (PI) (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (+ (* -1/128 (pow (PI) 3)) (* 1/384 (pow (PI) 3)))))) (+ (* -1/32 (* (pow (PI) 2) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (+ (* -1/1536 (pow (PI) 4)) (* 1/3072 (pow (PI) 4)))))) (+ (* -1/8 (* (PI) (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (* -1/128 (pow (PI) 3))))) (* 1/64 (* (pow (PI) 2) (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))))))) (PI)))))) (PI))) (* 2 (/ (+ (* -4 (/ (pow (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) 2) (pow (PI) 2))) (* 8 (/ (- (* 1/2 (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (+ (* -1/128 (pow (PI) 3)) (* 1/192 (pow (PI) 3))))) (* 1/128 (pow (PI) 3))) (PI)))) (PI)))))))) (taylor 0 f) (#s(alt (/.f64 (log.f64 (tanh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64))))) (*.f64 #s(literal 1/4 binary64) (PI.f64))) (patch (/.f64 (log.f64 (tanh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64))))) (*.f64 #s(literal 1/4 binary64) (PI.f64))) #<representation binary64>) () ())) ())
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#s(alt (* -4 (/ (log (/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))) (PI))) (taylor -inf f) (#s(alt (*.f64 (log.f64 (tanh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64))))) (/.f64 #s(literal -4 binary64) (PI.f64))) (patch (*.f64 (log.f64 (tanh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64))))) (/.f64 #s(literal -4 binary64) (PI.f64))) #<representation binary64>) () ())) ())
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Calls

3 calls:

TimeVariablePointExpression
73.0ms
f
@-inf
((/ (log (tanh (* f (* 1/4 (PI))))) (* 1/4 (PI))) (log (tanh (* f (* 1/4 (PI))))) (tanh (* f (* 1/4 (PI)))) (* f (* 1/4 (PI))) (/ 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))))))) (/ (PI) 4) (/ 1 (/ (* 1/4 (PI)) (log (tanh (* f (* 1/4 (PI))))))) (/ (* 1/4 (PI)) (log (tanh (* f (* 1/4 (PI)))))) (* 1/4 (PI)) (PI) (/ (* (neg (log (tanh (* f (* 1/4 (PI)))))) (/ 4 (sqrt (PI)))) (sqrt (PI))) (neg (/ (* (neg (log (tanh (* f (* 1/4 (PI)))))) (/ 4 (sqrt (PI)))) (sqrt (PI)))) (* (neg (log (tanh (* f (* 1/4 (PI)))))) (/ 4 (sqrt (PI)))) (neg (log (tanh (* f (* 1/4 (PI)))))) (/ (neg (pow (* (log (tanh (* f (* 1/4 (PI))))) (/ -4 (PI))) 3)) (+ (pow (* (log (tanh (* f (* 1/4 (PI))))) (/ -4 (PI))) 2) 0)) (+ (pow (* (log (tanh (* f (* 1/4 (PI))))) (/ -4 (PI))) 2) 0) (neg (pow (* (log (tanh (* f (* 1/4 (PI))))) (/ -4 (PI))) 3)) (pow (* (log (tanh (* f (* 1/4 (PI))))) (/ -4 (PI))) 3) (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/ (/ 4 (PI)) f) (sqrt (PI)) (pow (* (log (tanh (* f (* 1/4 (PI))))) (/ -4 (PI))) 2) (* (log (tanh (* f (* 1/4 (PI))))) (/ -4 (PI))))
48.0ms
f
@inf
((/ (log (tanh (* f (* 1/4 (PI))))) (* 1/4 (PI))) (log (tanh (* f (* 1/4 (PI))))) (tanh (* f (* 1/4 (PI)))) (* f (* 1/4 (PI))) (/ 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))))))) (/ (PI) 4) (/ 1 (/ (* 1/4 (PI)) (log (tanh (* f (* 1/4 (PI))))))) (/ (* 1/4 (PI)) (log (tanh (* f (* 1/4 (PI)))))) (* 1/4 (PI)) (PI) (/ (* (neg (log (tanh (* f (* 1/4 (PI)))))) (/ 4 (sqrt (PI)))) (sqrt (PI))) (neg (/ (* (neg (log (tanh (* f (* 1/4 (PI)))))) (/ 4 (sqrt (PI)))) (sqrt (PI)))) (* (neg (log (tanh (* f (* 1/4 (PI)))))) (/ 4 (sqrt (PI)))) (neg (log (tanh (* f (* 1/4 (PI)))))) (/ (neg (pow (* (log (tanh (* f (* 1/4 (PI))))) (/ -4 (PI))) 3)) (+ (pow (* (log (tanh (* f (* 1/4 (PI))))) (/ -4 (PI))) 2) 0)) (+ (pow (* (log (tanh (* f (* 1/4 (PI))))) (/ -4 (PI))) 2) 0) (neg (pow (* (log (tanh (* f (* 1/4 (PI))))) (/ -4 (PI))) 3)) (pow (* (log (tanh (* f (* 1/4 (PI))))) (/ -4 (PI))) 3) (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/ (/ 4 (PI)) f) (sqrt (PI)) (pow (* (log (tanh (* f (* 1/4 (PI))))) (/ -4 (PI))) 2) (* (log (tanh (* f (* 1/4 (PI))))) (/ -4 (PI))))
21.0ms
f
@0
((/ (log (tanh (* f (* 1/4 (PI))))) (* 1/4 (PI))) (log (tanh (* f (* 1/4 (PI))))) (tanh (* f (* 1/4 (PI)))) (* f (* 1/4 (PI))) (/ 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))))))) (/ (PI) 4) (/ 1 (/ (* 1/4 (PI)) (log (tanh (* f (* 1/4 (PI))))))) (/ (* 1/4 (PI)) (log (tanh (* f (* 1/4 (PI)))))) (* 1/4 (PI)) (PI) (/ (* (neg (log (tanh (* f (* 1/4 (PI)))))) (/ 4 (sqrt (PI)))) (sqrt (PI))) (neg (/ (* (neg (log (tanh (* f (* 1/4 (PI)))))) (/ 4 (sqrt (PI)))) (sqrt (PI)))) (* (neg (log (tanh (* f (* 1/4 (PI)))))) (/ 4 (sqrt (PI)))) (neg (log (tanh (* f (* 1/4 (PI)))))) (/ (neg (pow (* (log (tanh (* f (* 1/4 (PI))))) (/ -4 (PI))) 3)) (+ (pow (* (log (tanh (* f (* 1/4 (PI))))) (/ -4 (PI))) 2) 0)) (+ (pow (* (log (tanh (* f (* 1/4 (PI))))) (/ -4 (PI))) 2) 0) (neg (pow (* (log (tanh (* f (* 1/4 (PI))))) (/ -4 (PI))) 3)) (pow (* (log (tanh (* f (* 1/4 (PI))))) (/ -4 (PI))) 3) (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/ (/ 4 (PI)) f) (sqrt (PI)) (pow (* (log (tanh (* f (* 1/4 (PI))))) (/ -4 (PI))) 2) (* (log (tanh (* f (* 1/4 (PI))))) (/ -4 (PI))))

simplify174.0ms (1.1%)

Memory
1.4MiB live, 203.5MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
049511858
1171510024
081899602
Stop Event
iter limit
node limit
Counts
240 → 240
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))))
(+ (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)))
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(* 64 (/ (pow (log (/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))) 3) (pow (PI) 3)))
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(* 64 (/ (pow (log (/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))) 3) (pow (PI) 3)))
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(* 64 (/ (pow (log (/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))) 3) (pow (PI) 3)))
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(* -64 (/ (pow (log (/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))) 3) (pow (PI) 3)))
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(* -64 (/ (pow (log (/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))) 3) (pow (PI) 3)))
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(* -64 (/ (pow (log (/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))) 3) (pow (PI) 3)))
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(* -64 (/ (pow (log (/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))) 3) (pow (PI) 3)))
(*.f64 (/.f64 (pow.f64 (log.f64 (/.f64 (-.f64 (pow.f64 (exp.f64 #s(literal 1/4 binary64)) (*.f64 (PI.f64) 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 #s(literal 1/4 binary64)) (*.f64 (PI.f64) f))))) #s(literal 3 binary64)) (pow.f64 (PI.f64) #s(literal 3 binary64))) #s(literal -64 binary64))
(/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI)))))))
(/.f64 (+.f64 (pow.f64 (exp.f64 #s(literal -1/4 binary64)) (*.f64 (PI.f64) 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 #s(literal -1/4 binary64)) (*.f64 (PI.f64) f))))
(/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI)))))))
(/.f64 (+.f64 (pow.f64 (exp.f64 #s(literal -1/4 binary64)) (*.f64 (PI.f64) 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 #s(literal -1/4 binary64)) (*.f64 (PI.f64) f))))
(/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI)))))))
(/.f64 (+.f64 (pow.f64 (exp.f64 #s(literal -1/4 binary64)) (*.f64 (PI.f64) 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 #s(literal -1/4 binary64)) (*.f64 (PI.f64) f))))
(/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI)))))))
(/.f64 (+.f64 (pow.f64 (exp.f64 #s(literal -1/4 binary64)) (*.f64 (PI.f64) 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 #s(literal -1/4 binary64)) (*.f64 (PI.f64) f))))
(/ 4 (* f (PI)))
(/.f64 #s(literal 4 binary64) (*.f64 (PI.f64) f))
(/ 4 (* f (PI)))
(/.f64 #s(literal 4 binary64) (*.f64 (PI.f64) f))
(/ 4 (* f (PI)))
(/.f64 #s(literal 4 binary64) (*.f64 (PI.f64) f))
(/ 4 (* f (PI)))
(/.f64 #s(literal 4 binary64) (*.f64 (PI.f64) f))
(* 16 (/ (pow (log (/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))) 2) (pow (PI) 2)))
(*.f64 (/.f64 #s(literal 16 binary64) (PI.f64)) (/.f64 (pow.f64 (log.f64 (/.f64 (-.f64 (pow.f64 (exp.f64 #s(literal 1/4 binary64)) (*.f64 (PI.f64) 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 #s(literal 1/4 binary64)) (*.f64 (PI.f64) f))))) #s(literal 2 binary64)) (PI.f64)))
(* 16 (/ (pow (log (/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))) 2) (pow (PI) 2)))
(*.f64 (/.f64 #s(literal 16 binary64) (PI.f64)) (/.f64 (pow.f64 (log.f64 (/.f64 (-.f64 (pow.f64 (exp.f64 #s(literal 1/4 binary64)) (*.f64 (PI.f64) 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 #s(literal 1/4 binary64)) (*.f64 (PI.f64) f))))) #s(literal 2 binary64)) (PI.f64)))
(* 16 (/ (pow (log (/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))) 2) (pow (PI) 2)))
(*.f64 (/.f64 #s(literal 16 binary64) (PI.f64)) (/.f64 (pow.f64 (log.f64 (/.f64 (-.f64 (pow.f64 (exp.f64 #s(literal 1/4 binary64)) (*.f64 (PI.f64) 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 #s(literal 1/4 binary64)) (*.f64 (PI.f64) f))))) #s(literal 2 binary64)) (PI.f64)))
(* 16 (/ (pow (log (/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))) 2) (pow (PI) 2)))
(*.f64 (/.f64 #s(literal 16 binary64) (PI.f64)) (/.f64 (pow.f64 (log.f64 (/.f64 (-.f64 (pow.f64 (exp.f64 #s(literal 1/4 binary64)) (*.f64 (PI.f64) 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 #s(literal 1/4 binary64)) (*.f64 (PI.f64) f))))) #s(literal 2 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 #s(literal 1/4 binary64)) (*.f64 (PI.f64) 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 #s(literal 1/4 binary64)) (*.f64 (PI.f64) f))))) (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 #s(literal 1/4 binary64)) (*.f64 (PI.f64) 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 #s(literal 1/4 binary64)) (*.f64 (PI.f64) f))))) (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 #s(literal 1/4 binary64)) (*.f64 (PI.f64) 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 #s(literal 1/4 binary64)) (*.f64 (PI.f64) f))))) (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 #s(literal 1/4 binary64)) (*.f64 (PI.f64) 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 #s(literal 1/4 binary64)) (*.f64 (PI.f64) f))))) (PI.f64)) #s(literal -4 binary64))

rewrite191.0ms (1.2%)

Memory
10.4MiB live, 289.9MiB allocated
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
046342
074249
1309240
21981238
08431238
Stop Event
iter limit
node limit
iter limit
Counts
25 → 1 835
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)))
(/.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))))
(/.f64 (PI.f64) #s(literal 4 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)))))))
(/.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 1/4 binary64) (PI.f64))
(PI.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)))
(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 (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))))
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(+.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)) #s(literal 0 binary64))
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(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 3 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 (/.f64 #s(literal 4 binary64) (PI.f64)) f)
(sqrt.f64 (PI.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)))
Outputs
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eval591.0ms (3.8%)

Memory
-2.6MiB live, 1 006.7MiB allocated
Compiler

Compiled 113 228 to 9 998 computations (91.2% saved)

prune75.0ms (0.5%)

Memory
8.2MiB live, 207.1MiB allocated
Pruning

16 alts after pruning (15 fresh and 1 done)

PrunedKeptTotal
New3 683123 695
Fresh639
Picked415
Done000
Total3 693163 709
Accuracy
100.0%
Counts
3 709 → 16
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.4%
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (PI.f64)) (*.f64 (*.f64 #s(literal -1/4 binary64) (PI.f64)) (*.f64 #s(literal -4 binary64) (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))))) (*.f64 (*.f64 #s(literal -1/4 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)))
98.0%
(/.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)))
98.0%
(/.f64 #s(approx (log (tanh (* f (* 1/4 (PI))))) (+.f64 (log.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64))) (log.f64 f))) (*.f64 #s(literal 1/4 binary64) (PI.f64)))
99.3%
(/.f64 #s(literal 4 binary64) (/.f64 (PI.f64) (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))))
97.8%
(/.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 (PI.f64) f) #s(literal 1/4 binary64))))))
97.8%
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) #s(approx (log (tanh (* f (* 1/4 (PI))))) (+.f64 (log.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64))) (log.f64 f)))))
99.3%
(/.f64 #s(literal 1 binary64) (*.f64 (PI.f64) (/.f64 #s(literal 1/4 binary64) (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))))))
97.9%
(*.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))))
99.4%
(*.f64 (*.f64 (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64))) (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))) (pow.f64 (PI.f64) #s(literal -1/2 binary64)))
97.8%
(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))))) (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (PI.f64))))
99.3%
(neg.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))))))
98.4%
(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)))))
96.5%
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 1/4 binary64) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)))) (log.f64 #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)))))
97.5%
(neg.f64 (*.f64 (*.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (/.f64 #s(literal 4 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)))))
98.0%
#s(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 469 to 390 computations (16.8% saved)

simplify86.0ms (0.6%)

Memory
4.4MiB live, 80.4MiB allocated
Algorithm
egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(PI.f64)
cost-diff0
(*.f64 #s(literal 1/4 binary64) (PI.f64))
cost-diff0
(/.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) #s(approx (log (tanh (* f (* 1/4 (PI))))) (+.f64 (log.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64))) (log.f64 f))))
cost-diff704
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) #s(approx (log (tanh (* f (* 1/4 (PI))))) (+.f64 (log.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64))) (log.f64 f)))))
cost-diff0
(log.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)))
cost-diff0
(+.f64 (log.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64))) (log.f64 f))
cost-diff0
#s(approx (log (tanh (* f (* 1/4 (PI))))) (+.f64 (log.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64))) (log.f64 f)))
cost-diff0
(/.f64 #s(approx (log (tanh (* f (* 1/4 (PI))))) (+.f64 (log.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64))) (log.f64 f))) (*.f64 #s(literal 1/4 binary64) (PI.f64)))
cost-diff0
(neg.f64 (log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64)))))
cost-diff128
(*.f64 (neg.f64 (log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64))))) (/.f64 #s(literal 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))))) (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (PI.f64))))
cost-diff1984
(/.f64 (*.f64 (neg.f64 (log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64))))) (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (PI.f64)))
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-diff0
(sqrt.f64 (PI.f64))
cost-diff0
(/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64)))
cost-diff0
(*.f64 (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64))) (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))))
cost-diff0
(*.f64 (*.f64 (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64))) (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))) (pow.f64 (PI.f64) #s(literal -1/2 binary64)))
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
037374
062366
1148366
2308360
3713360
41664360
53385360
65968360
08115360
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(*.f64 (*.f64 (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64))) (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))) (pow.f64 (PI.f64) #s(literal -1/2 binary64)))
(*.f64 (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64))) (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))))
(/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64)))
#s(literal 4 binary64)
(sqrt.f64 (PI.f64))
(PI.f64)
(log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))
(tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))
(*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)
(*.f64 (PI.f64) #s(literal 1/4 binary64))
#s(literal 1/4 binary64)
f
(pow.f64 (PI.f64) #s(literal -1/2 binary64))
#s(literal -1/2 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 (PI.f64) f)
(PI.f64)
f
#s(literal 1/4 binary64)
(*.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))))) (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64)))) (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))))) (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64)))) (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))))) (/.f64 #s(literal 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)
(/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64)))
#s(literal 4 binary64)
(sqrt.f64 (PI.f64))
(/.f64 #s(approx (log (tanh (* f (* 1/4 (PI))))) (+.f64 (log.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64))) (log.f64 f))) (*.f64 #s(literal 1/4 binary64) (PI.f64)))
#s(approx (log (tanh (* f (* 1/4 (PI))))) (+.f64 (log.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64))) (log.f64 f)))
(+.f64 (log.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64))) (log.f64 f))
(log.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)))
(*.f64 (PI.f64) #s(literal 1/4 binary64))
(PI.f64)
#s(literal 1/4 binary64)
(log.f64 f)
f
(*.f64 #s(literal 1/4 binary64) (PI.f64))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) #s(approx (log (tanh (* f (* 1/4 (PI))))) (+.f64 (log.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64))) (log.f64 f)))))
#s(literal 1 binary64)
(/.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) #s(approx (log (tanh (* f (* 1/4 (PI))))) (+.f64 (log.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64))) (log.f64 f))))
(*.f64 #s(literal 1/4 binary64) (PI.f64))
#s(literal 1/4 binary64)
(PI.f64)
#s(approx (log (tanh (* f (* 1/4 (PI))))) (+.f64 (log.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64))) (log.f64 f)))
(+.f64 (log.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64))) (log.f64 f))
(log.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)))
(*.f64 (PI.f64) #s(literal 1/4 binary64))
(log.f64 f)
f
Outputs
(*.f64 (*.f64 (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64))) (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))) (pow.f64 (PI.f64) #s(literal -1/2 binary64)))
(*.f64 (*.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64)))) (log.f64 (tanh.f64 (*.f64 (*.f64 f #s(literal 1/4 binary64)) (PI.f64)))))
(*.f64 (/.f64 #s(literal 4 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 f #s(literal 1/4 binary64)) (PI.f64)))) (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64))))
(/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64)))
#s(literal 4 binary64)
(sqrt.f64 (PI.f64))
(PI.f64)
(log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))
(log.f64 (tanh.f64 (*.f64 (*.f64 f #s(literal 1/4 binary64)) (PI.f64))))
(tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))
(tanh.f64 (*.f64 (*.f64 f #s(literal 1/4 binary64)) (PI.f64)))
(*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)
(*.f64 (*.f64 f #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
(pow.f64 (PI.f64) #s(literal -1/2 binary64))
#s(literal -1/2 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)))
(*.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (*.f64 f #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 (*.f64 f #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 (*.f64 f #s(literal 1/4 binary64)) (PI.f64)))
(*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64))
(*.f64 (*.f64 f #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))
(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))))) (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (PI.f64))))
(*.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (*.f64 f #s(literal 1/4 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))))) (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (PI.f64)))
(*.f64 (/.f64 #s(literal -4 binary64) (PI.f64)) (log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (*.f64 f #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))))) (/.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 (*.f64 f #s(literal 1/4 binary64)) (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 (*.f64 f #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 (*.f64 f #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 (*.f64 f #s(literal 1/4 binary64)) (PI.f64)))
(*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64))
(*.f64 (*.f64 f #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 4 binary64) (sqrt.f64 (PI.f64)))
#s(literal 4 binary64)
(sqrt.f64 (PI.f64))
(/.f64 #s(approx (log (tanh (* f (* 1/4 (PI))))) (+.f64 (log.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64))) (log.f64 f))) (*.f64 #s(literal 1/4 binary64) (PI.f64)))
(*.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) #s(approx (log (tanh (* f (* 1/4 (PI))))) (+.f64 (log.f64 f) (log.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64))))))
#s(approx (log (tanh (* f (* 1/4 (PI))))) (+.f64 (log.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64))) (log.f64 f)))
#s(approx (log (tanh (* f (* 1/4 (PI))))) (+.f64 (log.f64 f) (log.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)))))
(+.f64 (log.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64))) (log.f64 f))
(+.f64 (log.f64 f) (log.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64))))
(log.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)))
(log.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)))
(*.f64 (PI.f64) #s(literal 1/4 binary64))
(*.f64 #s(literal 1/4 binary64) (PI.f64))
(PI.f64)
#s(literal 1/4 binary64)
(log.f64 f)
f
(*.f64 #s(literal 1/4 binary64) (PI.f64))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) #s(approx (log (tanh (* f (* 1/4 (PI))))) (+.f64 (log.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64))) (log.f64 f)))))
(*.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) #s(approx (log (tanh (* f (* 1/4 (PI))))) (+.f64 (log.f64 f) (log.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64))))))
#s(literal 1 binary64)
(/.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) #s(approx (log (tanh (* f (* 1/4 (PI))))) (+.f64 (log.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64))) (log.f64 f))))
(/.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) #s(approx (log (tanh (* f (* 1/4 (PI))))) (+.f64 (log.f64 f) (log.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64))))))
(*.f64 #s(literal 1/4 binary64) (PI.f64))
#s(literal 1/4 binary64)
(PI.f64)
#s(approx (log (tanh (* f (* 1/4 (PI))))) (+.f64 (log.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64))) (log.f64 f)))
#s(approx (log (tanh (* f (* 1/4 (PI))))) (+.f64 (log.f64 f) (log.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)))))
(+.f64 (log.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64))) (log.f64 f))
(+.f64 (log.f64 f) (log.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64))))
(log.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)))
(log.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)))
(*.f64 (PI.f64) #s(literal 1/4 binary64))
(*.f64 #s(literal 1/4 binary64) (PI.f64))
(log.f64 f)
f

localize130.0ms (0.8%)

Memory
-1.1MiB live, 153.5MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0.3671875
(/.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) #s(approx (log (tanh (* f (* 1/4 (PI))))) (+.f64 (log.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64))) (log.f64 f))))
accuracy0.4596929817477594
#s(approx (log (tanh (* f (* 1/4 (PI))))) (+.f64 (log.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64))) (log.f64 f)))
accuracy0.4843632076963094
(PI.f64)
accuracy1.5725799811842662
(log.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)))
accuracy0.33203125
(/.f64 #s(approx (log (tanh (* f (* 1/4 (PI))))) (+.f64 (log.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64))) (log.f64 f))) (*.f64 #s(literal 1/4 binary64) (PI.f64)))
accuracy0.4596929817477594
#s(approx (log (tanh (* f (* 1/4 (PI))))) (+.f64 (log.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64))) (log.f64 f)))
accuracy0.4843632076963094
(PI.f64)
accuracy1.5725799811842662
(log.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)))
accuracy0.3671875
(/.f64 (*.f64 (neg.f64 (log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64))))) (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (PI.f64)))
accuracy0.4843632076963094
(PI.f64)
accuracy0.5136055705162571
#s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64)))
accuracy0.9921875
(sqrt.f64 (PI.f64))
accuracy0.20703125
(*.f64 (PI.f64) f)
accuracy0.33203125
(/.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)))
accuracy0.4843632076963094
(PI.f64)
accuracy0.5136055705162571
#s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64)))
accuracy0.2734375
(*.f64 (*.f64 (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64))) (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))) (pow.f64 (PI.f64) #s(literal -1/2 binary64)))
accuracy0.30859375
(*.f64 (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64))) (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))))
accuracy0.4843632076963094
(PI.f64)
accuracy0.9921875
(sqrt.f64 (PI.f64))
Samples
70.0ms254×0valid
17.0ms5exit
Compiler

Compiled 567 to 65 computations (88.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 67.0ms
ival-log: 26.0ms (38.9% of total)
ival-mult: 13.0ms (19.5% of total)
ival-div: 8.0ms (12% of total)
ival-tanh: 7.0ms (10.5% of total)
ival-pow: 5.0ms (7.5% of total)
ival-sqrt: 2.0ms (3% of total)
ival-neg: 2.0ms (3% of total)
ival-pi: 1.0ms (1.5% of total)
ival-add: 1.0ms (1.5% of total)
exact: 1.0ms (1.5% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series100.0ms (0.6%)

Memory
-2.9MiB live, 131.1MiB allocated
Counts
21 → 192
Calls
Call 1
Inputs
#s(alt (*.f64 (*.f64 (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64))) (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))) (pow.f64 (PI.f64) #s(literal -1/2 binary64))) (patch (*.f64 (*.f64 (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64))) (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))) (pow.f64 (PI.f64) #s(literal -1/2 binary64))) #<representation binary64>) () ())
#s(alt (*.f64 (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64))) (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))) (patch (*.f64 (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64))) (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64))) (patch (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64))) #<representation binary64>) () ())
#s(alt (sqrt.f64 (PI.f64)) (patch (sqrt.f64 (PI.f64)) #<representation binary64>) () ())
#s(alt (/.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))) (patch (/.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))) #<representation binary64>) () ())
#s(alt (log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64)))) (patch (log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64)))) #<representation binary64>) () ())
#s(alt #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64))) (patch #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64))) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64)) (patch (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64)) #<representation binary64>) () ())
#s(alt (/.f64 (*.f64 (neg.f64 (log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64))))) (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (PI.f64))) (patch (/.f64 (*.f64 (neg.f64 (log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64))))) (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (PI.f64))) #<representation binary64>) () ())
#s(alt (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))))) (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (PI.f64)))) (patch (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))))) (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (PI.f64)))) #<representation binary64>) () ())
#s(alt (*.f64 (neg.f64 (log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64))))) (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64)))) (patch (*.f64 (neg.f64 (log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64))))) (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64)))) #<representation binary64>) () ())
#s(alt (neg.f64 (log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64))))) (patch (neg.f64 (log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64))))) #<representation binary64>) () ())
#s(alt (/.f64 #s(approx (log (tanh (* f (* 1/4 (PI))))) (+.f64 (log.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64))) (log.f64 f))) (*.f64 #s(literal 1/4 binary64) (PI.f64))) (patch (/.f64 #s(approx (log (tanh (* f (* 1/4 (PI))))) (+.f64 (log.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64))) (log.f64 f))) (*.f64 #s(literal 1/4 binary64) (PI.f64))) #<representation binary64>) () ())
#s(alt #s(approx (log (tanh (* f (* 1/4 (PI))))) (+.f64 (log.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64))) (log.f64 f))) (patch #s(approx (log (tanh (* f (* 1/4 (PI))))) (+.f64 (log.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64))) (log.f64 f))) #<representation binary64>) () ())
#s(alt (+.f64 (log.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64))) (log.f64 f)) (patch (+.f64 (log.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64))) (log.f64 f)) #<representation binary64>) () ())
#s(alt (log.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64))) (patch (log.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64))) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) #s(approx (log (tanh (* f (* 1/4 (PI))))) (+.f64 (log.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64))) (log.f64 f))))) (patch (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) #s(approx (log (tanh (* f (* 1/4 (PI))))) (+.f64 (log.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64))) (log.f64 f))))) #<representation binary64>) () ())
#s(alt (/.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) #s(approx (log (tanh (* f (* 1/4 (PI))))) (+.f64 (log.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64))) (log.f64 f)))) (patch (/.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) #s(approx (log (tanh (* f (* 1/4 (PI))))) (+.f64 (log.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64))) (log.f64 f)))) #<representation binary64>) () ())
#s(alt (*.f64 #s(literal 1/4 binary64) (PI.f64)) (patch (*.f64 #s(literal 1/4 binary64) (PI.f64)) #<representation binary64>) () ())
#s(alt (PI.f64) (patch (PI.f64) #<representation binary64>) () ())
#s(alt (*.f64 (PI.f64) f) (patch (*.f64 (PI.f64) f) #<representation binary64>) () ())
Outputs
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#s(alt (* 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)))))))))) (taylor -inf f) (#s(alt (/.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) #s(approx (log (tanh (* f (* 1/4 (PI))))) (+.f64 (log.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64))) (log.f64 f)))) (patch (/.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) #s(approx (log (tanh (* f (* 1/4 (PI))))) (+.f64 (log.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64))) (log.f64 f)))) #<representation binary64>) () ())) ())
#s(alt (* f (PI)) (taylor -inf f) (#s(alt (*.f64 (PI.f64) f) (patch (*.f64 (PI.f64) f) #<representation binary64>) () ())) ())
#s(alt (* f (PI)) (taylor -inf f) (#s(alt (*.f64 (PI.f64) f) (patch (*.f64 (PI.f64) f) #<representation binary64>) () ())) ())
#s(alt (* f (PI)) (taylor -inf f) (#s(alt (*.f64 (PI.f64) f) (patch (*.f64 (PI.f64) f) #<representation binary64>) () ())) ())
#s(alt (* f (PI)) (taylor -inf f) (#s(alt (*.f64 (PI.f64) f) (patch (*.f64 (PI.f64) f) #<representation binary64>) () ())) ())
Calls

3 calls:

TimeVariablePointExpression
36.0ms
f
@-inf
((* (* (/ 4 (sqrt (PI))) (log (tanh (* (* (PI) 1/4) f)))) (pow (PI) -1/2)) (* (/ 4 (sqrt (PI))) (log (tanh (* (* (PI) 1/4) f)))) (/ 4 (sqrt (PI))) (sqrt (PI)) (/ (log (tanh (* f (* 1/4 (PI))))) (* 1/4 (PI))) (log (tanh (* f (* 1/4 (PI))))) (tanh (* f (* 1/4 (PI)))) (* (* (PI) f) 1/4) (/ (* (neg (log (tanh (* f (* 1/4 (PI)))))) (/ 4 (sqrt (PI)))) (sqrt (PI))) (neg (/ (* (neg (log (tanh (* f (* 1/4 (PI)))))) (/ 4 (sqrt (PI)))) (sqrt (PI)))) (* (neg (log (tanh (* f (* 1/4 (PI)))))) (/ 4 (sqrt (PI)))) (neg (log (tanh (* f (* 1/4 (PI)))))) (/ (log (tanh (* f (* 1/4 (PI))))) (* 1/4 (PI))) (log (tanh (* f (* 1/4 (PI))))) (+ (log (* (PI) 1/4)) (log f)) (log (* (PI) 1/4)) (/ 1 (/ (* 1/4 (PI)) (log (tanh (* f (* 1/4 (PI))))))) (/ (* 1/4 (PI)) (log (tanh (* f (* 1/4 (PI)))))) (* 1/4 (PI)) (PI) (* (PI) f))
31.0ms
f
@0
((* (* (/ 4 (sqrt (PI))) (log (tanh (* (* (PI) 1/4) f)))) (pow (PI) -1/2)) (* (/ 4 (sqrt (PI))) (log (tanh (* (* (PI) 1/4) f)))) (/ 4 (sqrt (PI))) (sqrt (PI)) (/ (log (tanh (* f (* 1/4 (PI))))) (* 1/4 (PI))) (log (tanh (* f (* 1/4 (PI))))) (tanh (* f (* 1/4 (PI)))) (* (* (PI) f) 1/4) (/ (* (neg (log (tanh (* f (* 1/4 (PI)))))) (/ 4 (sqrt (PI)))) (sqrt (PI))) (neg (/ (* (neg (log (tanh (* f (* 1/4 (PI)))))) (/ 4 (sqrt (PI)))) (sqrt (PI)))) (* (neg (log (tanh (* f (* 1/4 (PI)))))) (/ 4 (sqrt (PI)))) (neg (log (tanh (* f (* 1/4 (PI)))))) (/ (log (tanh (* f (* 1/4 (PI))))) (* 1/4 (PI))) (log (tanh (* f (* 1/4 (PI))))) (+ (log (* (PI) 1/4)) (log f)) (log (* (PI) 1/4)) (/ 1 (/ (* 1/4 (PI)) (log (tanh (* f (* 1/4 (PI))))))) (/ (* 1/4 (PI)) (log (tanh (* f (* 1/4 (PI)))))) (* 1/4 (PI)) (PI) (* (PI) f))
22.0ms
f
@inf
((* (* (/ 4 (sqrt (PI))) (log (tanh (* (* (PI) 1/4) f)))) (pow (PI) -1/2)) (* (/ 4 (sqrt (PI))) (log (tanh (* (* (PI) 1/4) f)))) (/ 4 (sqrt (PI))) (sqrt (PI)) (/ (log (tanh (* f (* 1/4 (PI))))) (* 1/4 (PI))) (log (tanh (* f (* 1/4 (PI))))) (tanh (* f (* 1/4 (PI)))) (* (* (PI) f) 1/4) (/ (* (neg (log (tanh (* f (* 1/4 (PI)))))) (/ 4 (sqrt (PI)))) (sqrt (PI))) (neg (/ (* (neg (log (tanh (* f (* 1/4 (PI)))))) (/ 4 (sqrt (PI)))) (sqrt (PI)))) (* (neg (log (tanh (* f (* 1/4 (PI)))))) (/ 4 (sqrt (PI)))) (neg (log (tanh (* f (* 1/4 (PI)))))) (/ (log (tanh (* f (* 1/4 (PI))))) (* 1/4 (PI))) (log (tanh (* f (* 1/4 (PI))))) (+ (log (* (PI) 1/4)) (log f)) (log (* (PI) 1/4)) (/ 1 (/ (* 1/4 (PI)) (log (tanh (* f (* 1/4 (PI))))))) (/ (* 1/4 (PI)) (log (tanh (* f (* 1/4 (PI)))))) (* 1/4 (PI)) (PI) (* (PI) f))

simplify158.0ms (1%)

Memory
27.4MiB live, 177.6MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02967727
110006533
242935468
091705296
Stop Event
iter limit
node limit
Counts
192 → 192
Calls
Call 1
Inputs
(* 4 (/ (+ (log f) (log (* 1/4 (PI)))) (PI)))
(+ (* 4 (/ (+ (log f) (log (* 1/4 (PI)))) (PI))) (* 8 (/ (* f (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2)))) (pow (PI) 2))))
(+ (* 4 (/ (+ (log f) (log (* 1/4 (PI)))) (PI))) (* f (+ (* 2 (/ (* f (+ (* -4 (/ (pow (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) 2) (pow (PI) 2))) (* 8 (/ (- (* 1/2 (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (+ (* -1/128 (pow (PI) 3)) (* 1/192 (pow (PI) 3))))) (* 1/128 (pow (PI) 3))) (PI))))) (PI))) (* 8 (/ (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) (pow (PI) 2))))))
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(* 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))))))
(+ (* 4 (* (sqrt (/ 1 (PI))) (+ (log f) (log (* 1/4 (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))))) (sqrt (/ 1 (PI))))) (* 8 (* (sqrt (/ 1 (pow (PI) 3))) (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))))))))
(+ (* 4 (* (sqrt (/ 1 (PI))) (+ (log f) (log (* 1/4 (PI)))))) (* f (+ (* 8 (* (sqrt (/ 1 (pow (PI) 3))) (+ (* -1/16 (pow (PI) 2)) (* 1/16 (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)))))) (sqrt (/ 1 (PI))))) (* 2 (* (sqrt (/ 1 (PI))) (+ (* -4 (/ (pow (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) 2) (pow (PI) 2))) (* 8 (/ (- (* 1/2 (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (+ (* -1/128 (pow (PI) 3)) (* 1/192 (pow (PI) 3))))) (* 1/128 (pow (PI) 3))) (PI)))))))))))
(* 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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(* 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))))))))))
(* 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))))))))))
(* 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))))))))))
(* f (PI))
(* f (PI))
(* f (PI))
(* f (PI))
Outputs
(* 4 (/ (+ (log f) (log (* 1/4 (PI)))) (PI)))
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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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(log (/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI))))))))
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(* 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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(* 1/4 (/ (PI) (log (/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI))))))))))
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(* 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))))))
(* 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))))))))))
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(* f (PI))
(*.f64 (PI.f64) f)
(* f (PI))
(*.f64 (PI.f64) f)
(* f (PI))
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(* f (PI))
(*.f64 (PI.f64) f)

rewrite146.0ms (0.9%)

Memory
-24.6MiB live, 170.2MiB allocated
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
037251
062238
1217229
21075227
08376227
Stop Event
iter limit
node limit
iter limit
Counts
21 → 1 263
Calls
Call 1
Inputs
(*.f64 (*.f64 (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64))) (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))) (pow.f64 (PI.f64) #s(literal -1/2 binary64)))
(*.f64 (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64))) (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))))
(/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64)))
(sqrt.f64 (PI.f64))
(/.f64 (log.f64 #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))
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(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))))) (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64)))) (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))))) (/.f64 #s(literal 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)))))
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#s(approx (log (tanh (* f (* 1/4 (PI))))) (+.f64 (log.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64))) (log.f64 f)))
(+.f64 (log.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64))) (log.f64 f))
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(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) #s(approx (log (tanh (* f (* 1/4 (PI))))) (+.f64 (log.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64))) (log.f64 f)))))
(/.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) #s(approx (log (tanh (* f (* 1/4 (PI))))) (+.f64 (log.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64))) (log.f64 f))))
(*.f64 #s(literal 1/4 binary64) (PI.f64))
(PI.f64)
(*.f64 (PI.f64) f)
Outputs
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eval444.0ms (2.9%)

Memory
45.0MiB live, 545.8MiB allocated
Compiler

Compiled 53 376 to 6 262 computations (88.3% saved)

prune145.0ms (0.9%)

Memory
-23.9MiB live, 175.3MiB allocated
Pruning

23 alts after pruning (20 fresh and 3 done)

PrunedKeptTotal
New2 510152 525
Fresh5510
Picked325
Done011
Total2 518232 541
Accuracy
100.0%
Counts
2 541 → 23
Alt Table
Click to see full alt table
StatusAccuracyProgram
97.0%
(/.f64 (/.f64 (log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (*.f64 f #s(literal 1/4 binary64)) (PI.f64)))) (sqrt.f64 (PI.f64))) (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/4 binary64)))
97.8%
(/.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 (PI.f64))) (/.f64 (sqrt.f64 (PI.f64)) (*.f64 #s(literal -4 binary64) (log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (*.f64 f #s(literal 1/4 binary64)) (PI.f64)))))))
97.8%
(/.f64 (/.f64 #s(literal -4 binary64) (PI.f64)) (/.f64 #s(literal -1 binary64) #s(approx (log (tanh (* f (* 1/4 (PI))))) (log.f64 (*.f64 (*.f64 f #s(literal 1/4 binary64)) (PI.f64))))))
97.9%
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (*.f64 #s(literal -1/4 binary64) (PI.f64))) (*.f64 (*.f64 #s(literal -1/4 binary64) (PI.f64)) (log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (*.f64 f #s(literal 1/4 binary64)) (PI.f64)))))) (*.f64 (*.f64 #s(literal -1/4 binary64) (PI.f64)) (*.f64 #s(literal -1/4 binary64) (PI.f64))))
97.8%
(/.f64 (*.f64 (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64))) #s(approx (log (tanh (* f (* 1/4 (PI))))) (log.f64 (*.f64 (*.f64 f #s(literal 1/4 binary64)) (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)))
96.8%
(/.f64 (log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64)))) (*.f64 (*.f64 #s(literal 1/4 binary64) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64))))
98.0%
(/.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)))
98.0%
(/.f64 #s(approx (log (tanh (* f (* 1/4 (PI))))) (+.f64 (log.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64))) (log.f64 f))) (*.f64 #s(literal 1/4 binary64) (PI.f64)))
98.0%
(/.f64 #s(approx (log (tanh (* f (* 1/4 (PI))))) (+.f64 (log.f64 (*.f64 f #s(literal 1/4 binary64))) (log.f64 (PI.f64)))) (*.f64 #s(literal 1/4 binary64) (PI.f64)))
99.3%
(/.f64 #s(literal 4 binary64) (/.f64 (PI.f64) (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))))
97.8%
(/.f64 #s(literal 4 binary64) (/.f64 (PI.f64) #s(approx (log (tanh (* f (* 1/4 (PI))))) (log.f64 (*.f64 (*.f64 f #s(literal 1/4 binary64)) (PI.f64))))))
97.9%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/4 binary64) (/.f64 (log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (*.f64 f #s(literal 1/4 binary64)) (PI.f64)))) (PI.f64))))
97.8%
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1/4 binary64) (log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (*.f64 f #s(literal 1/4 binary64)) (PI.f64))))) (PI.f64)))
97.0%
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1/4 binary64) #s(approx (log (tanh (* f (* 1/4 (PI))))) (log.f64 (*.f64 (*.f64 f #s(literal 1/4 binary64)) (PI.f64))))) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64))))
97.7%
(*.f64 (/.f64 (log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (*.f64 f #s(literal 1/4 binary64)) (PI.f64)))) (sqrt.f64 (PI.f64))) (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64))))
97.9%
(*.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (*.f64 f #s(literal 1/4 binary64)) (PI.f64)))))
98.0%
(*.f64 (/.f64 #s(literal -1 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 (*.f64 f #s(literal 1/4 binary64)) (PI.f64))))))
97.9%
(*.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))))
98.4%
(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)))))
96.5%
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 1/4 binary64) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)))) (log.f64 #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)))))
97.5%
(neg.f64 (*.f64 (*.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (/.f64 #s(literal -4 binary64) (sqrt.f64 (PI.f64)))) (log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (*.f64 f #s(literal 1/4 binary64)) (PI.f64))))))
98.0%
#s(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 642 to 521 computations (18.8% saved)

simplify178.0ms (1.1%)

Memory
5.3MiB live, 117.6MiB allocated
Algorithm
egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(/.f64 #s(literal 1/4 binary64) #s(approx (log (tanh (* f (* 1/4 (PI))))) (log.f64 (*.f64 (*.f64 f #s(literal 1/4 binary64)) (PI.f64)))))
cost-diff0
(*.f64 (/.f64 #s(literal 1/4 binary64) #s(approx (log (tanh (* f (* 1/4 (PI))))) (log.f64 (*.f64 (*.f64 f #s(literal 1/4 binary64)) (PI.f64))))) (sqrt.f64 (PI.f64)))
cost-diff704
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1/4 binary64) #s(approx (log (tanh (* f (* 1/4 (PI))))) (log.f64 (*.f64 (*.f64 f #s(literal 1/4 binary64)) (PI.f64))))) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64))))
cost-diff1600
(*.f64 (*.f64 (/.f64 #s(literal 1/4 binary64) #s(approx (log (tanh (* f (* 1/4 (PI))))) (log.f64 (*.f64 (*.f64 f #s(literal 1/4 binary64)) (PI.f64))))) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)))
cost-diff0
(sqrt.f64 (PI.f64))
cost-diff0
(/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64)))
cost-diff0
(*.f64 (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64))) #s(approx (log (tanh (* f (* 1/4 (PI))))) (log.f64 (*.f64 (*.f64 f #s(literal 1/4 binary64)) (PI.f64)))))
cost-diff1984
(/.f64 (*.f64 (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64))) #s(approx (log (tanh (* f (* 1/4 (PI))))) (log.f64 (*.f64 (*.f64 f #s(literal 1/4 binary64)) (PI.f64))))) (sqrt.f64 (PI.f64)))
cost-diff0
(log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (*.f64 f #s(literal 1/4 binary64)) (PI.f64))))
cost-diff0
(/.f64 (log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (*.f64 f #s(literal 1/4 binary64)) (PI.f64)))) (PI.f64))
cost-diff384
(/.f64 #s(literal 1/4 binary64) (/.f64 (log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (*.f64 f #s(literal 1/4 binary64)) (PI.f64)))) (PI.f64)))
cost-diff704
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/4 binary64) (/.f64 (log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (*.f64 f #s(literal 1/4 binary64)) (PI.f64)))) (PI.f64))))
cost-diff0
(log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (*.f64 f #s(literal 1/4 binary64)) (PI.f64))))
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 f #s(literal 1/4 binary64)) (PI.f64)))))
cost-diff0
(log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))
cost-diff0
(PI.f64)
cost-diff0
(/.f64 (PI.f64) (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))))
cost-diff384
(/.f64 #s(literal 4 binary64) (/.f64 (PI.f64) (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))))
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
035384
059380
1131368
2238368
3499368
4993368
51609368
62182368
72754368
83835368
96059368
08194368
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(/.f64 #s(literal 4 binary64) (/.f64 (PI.f64) (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))))
#s(literal 4 binary64)
(/.f64 (PI.f64) (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))))
(PI.f64)
(log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))
(tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))
(*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)
(*.f64 (PI.f64) #s(literal 1/4 binary64))
#s(literal 1/4 binary64)
f
(*.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (*.f64 f #s(literal 1/4 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 f #s(literal 1/4 binary64)) (PI.f64))))
#s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (*.f64 f #s(literal 1/4 binary64)) (PI.f64)))
(*.f64 (*.f64 f #s(literal 1/4 binary64)) (PI.f64))
(*.f64 f #s(literal 1/4 binary64))
f
#s(literal 1/4 binary64)
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/4 binary64) (/.f64 (log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (*.f64 f #s(literal 1/4 binary64)) (PI.f64)))) (PI.f64))))
#s(literal 1 binary64)
(/.f64 #s(literal 1/4 binary64) (/.f64 (log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (*.f64 f #s(literal 1/4 binary64)) (PI.f64)))) (PI.f64)))
#s(literal 1/4 binary64)
(/.f64 (log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (*.f64 f #s(literal 1/4 binary64)) (PI.f64)))) (PI.f64))
(log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (*.f64 f #s(literal 1/4 binary64)) (PI.f64))))
#s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (*.f64 f #s(literal 1/4 binary64)) (PI.f64)))
(*.f64 (*.f64 f #s(literal 1/4 binary64)) (PI.f64))
(*.f64 f #s(literal 1/4 binary64))
f
(PI.f64)
(/.f64 (*.f64 (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64))) #s(approx (log (tanh (* f (* 1/4 (PI))))) (log.f64 (*.f64 (*.f64 f #s(literal 1/4 binary64)) (PI.f64))))) (sqrt.f64 (PI.f64)))
(*.f64 (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64))) #s(approx (log (tanh (* f (* 1/4 (PI))))) (log.f64 (*.f64 (*.f64 f #s(literal 1/4 binary64)) (PI.f64)))))
(/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64)))
#s(literal 4 binary64)
(sqrt.f64 (PI.f64))
(PI.f64)
#s(approx (log (tanh (* f (* 1/4 (PI))))) (log.f64 (*.f64 (*.f64 f #s(literal 1/4 binary64)) (PI.f64))))
(log.f64 (*.f64 (*.f64 f #s(literal 1/4 binary64)) (PI.f64)))
(*.f64 (*.f64 f #s(literal 1/4 binary64)) (PI.f64))
(*.f64 f #s(literal 1/4 binary64))
f
#s(literal 1/4 binary64)
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1/4 binary64) #s(approx (log (tanh (* f (* 1/4 (PI))))) (log.f64 (*.f64 (*.f64 f #s(literal 1/4 binary64)) (PI.f64))))) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64))))
#s(literal 1 binary64)
(*.f64 (*.f64 (/.f64 #s(literal 1/4 binary64) #s(approx (log (tanh (* f (* 1/4 (PI))))) (log.f64 (*.f64 (*.f64 f #s(literal 1/4 binary64)) (PI.f64))))) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)))
(*.f64 (/.f64 #s(literal 1/4 binary64) #s(approx (log (tanh (* f (* 1/4 (PI))))) (log.f64 (*.f64 (*.f64 f #s(literal 1/4 binary64)) (PI.f64))))) (sqrt.f64 (PI.f64)))
(/.f64 #s(literal 1/4 binary64) #s(approx (log (tanh (* f (* 1/4 (PI))))) (log.f64 (*.f64 (*.f64 f #s(literal 1/4 binary64)) (PI.f64)))))
#s(literal 1/4 binary64)
#s(approx (log (tanh (* f (* 1/4 (PI))))) (log.f64 (*.f64 (*.f64 f #s(literal 1/4 binary64)) (PI.f64))))
(log.f64 (*.f64 (*.f64 f #s(literal 1/4 binary64)) (PI.f64)))
(*.f64 (*.f64 f #s(literal 1/4 binary64)) (PI.f64))
(*.f64 f #s(literal 1/4 binary64))
f
(PI.f64)
(sqrt.f64 (PI.f64))
Outputs
(/.f64 #s(literal 4 binary64) (/.f64 (PI.f64) (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))))
(*.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (log.f64 (tanh.f64 (*.f64 (*.f64 f #s(literal 1/4 binary64)) (PI.f64)))))
#s(literal 4 binary64)
(/.f64 (PI.f64) (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))))
(/.f64 (PI.f64) (log.f64 (tanh.f64 (*.f64 (*.f64 f #s(literal 1/4 binary64)) (PI.f64)))))
(PI.f64)
(log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))
(log.f64 (tanh.f64 (*.f64 (*.f64 f #s(literal 1/4 binary64)) (PI.f64))))
(tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))
(tanh.f64 (*.f64 (*.f64 f #s(literal 1/4 binary64)) (PI.f64)))
(*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)
(*.f64 (*.f64 f #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
(*.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (*.f64 f #s(literal 1/4 binary64)) (PI.f64)))))
(*.f64 (log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (*.f64 f #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 f #s(literal 1/4 binary64)) (PI.f64))))
#s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (*.f64 f #s(literal 1/4 binary64)) (PI.f64)))
(*.f64 (*.f64 f #s(literal 1/4 binary64)) (PI.f64))
(*.f64 f #s(literal 1/4 binary64))
f
#s(literal 1/4 binary64)
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/4 binary64) (/.f64 (log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (*.f64 f #s(literal 1/4 binary64)) (PI.f64)))) (PI.f64))))
(*.f64 (log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (*.f64 f #s(literal 1/4 binary64)) (PI.f64)))) (/.f64 #s(literal 4 binary64) (PI.f64)))
#s(literal 1 binary64)
(/.f64 #s(literal 1/4 binary64) (/.f64 (log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (*.f64 f #s(literal 1/4 binary64)) (PI.f64)))) (PI.f64)))
(/.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (*.f64 f #s(literal 1/4 binary64)) (PI.f64)))))
#s(literal 1/4 binary64)
(/.f64 (log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (*.f64 f #s(literal 1/4 binary64)) (PI.f64)))) (PI.f64))
(log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (*.f64 f #s(literal 1/4 binary64)) (PI.f64))))
#s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (*.f64 f #s(literal 1/4 binary64)) (PI.f64)))
(*.f64 (*.f64 f #s(literal 1/4 binary64)) (PI.f64))
(*.f64 f #s(literal 1/4 binary64))
f
(PI.f64)
(/.f64 (*.f64 (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64))) #s(approx (log (tanh (* f (* 1/4 (PI))))) (log.f64 (*.f64 (*.f64 f #s(literal 1/4 binary64)) (PI.f64))))) (sqrt.f64 (PI.f64)))
(*.f64 #s(approx (log (tanh (* f (* 1/4 (PI))))) (log.f64 (*.f64 (*.f64 f #s(literal 1/4 binary64)) (PI.f64)))) (/.f64 #s(literal 4 binary64) (PI.f64)))
(*.f64 (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64))) #s(approx (log (tanh (* f (* 1/4 (PI))))) (log.f64 (*.f64 (*.f64 f #s(literal 1/4 binary64)) (PI.f64)))))
(*.f64 #s(approx (log (tanh (* f (* 1/4 (PI))))) (log.f64 (*.f64 (*.f64 f #s(literal 1/4 binary64)) (PI.f64)))) (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64))))
(/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64)))
#s(literal 4 binary64)
(sqrt.f64 (PI.f64))
(PI.f64)
#s(approx (log (tanh (* f (* 1/4 (PI))))) (log.f64 (*.f64 (*.f64 f #s(literal 1/4 binary64)) (PI.f64))))
(log.f64 (*.f64 (*.f64 f #s(literal 1/4 binary64)) (PI.f64)))
(*.f64 (*.f64 f #s(literal 1/4 binary64)) (PI.f64))
(*.f64 f #s(literal 1/4 binary64))
f
#s(literal 1/4 binary64)
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1/4 binary64) #s(approx (log (tanh (* f (* 1/4 (PI))))) (log.f64 (*.f64 (*.f64 f #s(literal 1/4 binary64)) (PI.f64))))) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64))))
(*.f64 #s(approx (log (tanh (* f (* 1/4 (PI))))) (log.f64 (*.f64 (*.f64 f #s(literal 1/4 binary64)) (PI.f64)))) (/.f64 #s(literal 4 binary64) (PI.f64)))
#s(literal 1 binary64)
(*.f64 (*.f64 (/.f64 #s(literal 1/4 binary64) #s(approx (log (tanh (* f (* 1/4 (PI))))) (log.f64 (*.f64 (*.f64 f #s(literal 1/4 binary64)) (PI.f64))))) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)))
(/.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) #s(approx (log (tanh (* f (* 1/4 (PI))))) (log.f64 (*.f64 (*.f64 f #s(literal 1/4 binary64)) (PI.f64)))))
(*.f64 (/.f64 #s(literal 1/4 binary64) #s(approx (log (tanh (* f (* 1/4 (PI))))) (log.f64 (*.f64 (*.f64 f #s(literal 1/4 binary64)) (PI.f64))))) (sqrt.f64 (PI.f64)))
(/.f64 (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/4 binary64)) #s(approx (log (tanh (* f (* 1/4 (PI))))) (log.f64 (*.f64 (*.f64 f #s(literal 1/4 binary64)) (PI.f64)))))
(/.f64 #s(literal 1/4 binary64) #s(approx (log (tanh (* f (* 1/4 (PI))))) (log.f64 (*.f64 (*.f64 f #s(literal 1/4 binary64)) (PI.f64)))))
#s(literal 1/4 binary64)
#s(approx (log (tanh (* f (* 1/4 (PI))))) (log.f64 (*.f64 (*.f64 f #s(literal 1/4 binary64)) (PI.f64))))
(log.f64 (*.f64 (*.f64 f #s(literal 1/4 binary64)) (PI.f64)))
(*.f64 (*.f64 f #s(literal 1/4 binary64)) (PI.f64))
(*.f64 f #s(literal 1/4 binary64))
f
(PI.f64)
(sqrt.f64 (PI.f64))

localize186.0ms (1.2%)

Memory
-7.9MiB live, 134.0MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0.37337875976844204
(*.f64 (/.f64 #s(literal 1/4 binary64) #s(approx (log (tanh (* f (* 1/4 (PI))))) (log.f64 (*.f64 (*.f64 f #s(literal 1/4 binary64)) (PI.f64))))) (sqrt.f64 (PI.f64)))
accuracy0.4596929817477594
#s(approx (log (tanh (* f (* 1/4 (PI))))) (log.f64 (*.f64 (*.f64 f #s(literal 1/4 binary64)) (PI.f64))))
accuracy0.4843632076963094
(PI.f64)
accuracy0.9921875
(sqrt.f64 (PI.f64))
accuracy0.3671875
(/.f64 (*.f64 (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64))) #s(approx (log (tanh (* f (* 1/4 (PI))))) (log.f64 (*.f64 (*.f64 f #s(literal 1/4 binary64)) (PI.f64))))) (sqrt.f64 (PI.f64)))
accuracy0.4596929817477594
#s(approx (log (tanh (* f (* 1/4 (PI))))) (log.f64 (*.f64 (*.f64 f #s(literal 1/4 binary64)) (PI.f64))))
accuracy0.4843632076963094
(PI.f64)
accuracy0.9921875
(sqrt.f64 (PI.f64))
accuracy0.25390625
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/4 binary64) (/.f64 (log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (*.f64 f #s(literal 1/4 binary64)) (PI.f64)))) (PI.f64))))
accuracy0.33203125
(/.f64 (log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (*.f64 f #s(literal 1/4 binary64)) (PI.f64)))) (PI.f64))
accuracy0.4843632076963094
(PI.f64)
accuracy0.5136055705162571
#s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (*.f64 f #s(literal 1/4 binary64)) (PI.f64)))
accuracy0.20703125
(*.f64 (*.f64 f #s(literal 1/4 binary64)) (PI.f64))
accuracy0.42578125
(*.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (*.f64 f #s(literal 1/4 binary64)) (PI.f64)))))
accuracy0.4843632076963094
(PI.f64)
accuracy0.5136055705162571
#s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (*.f64 f #s(literal 1/4 binary64)) (PI.f64)))
accuracy0.20703125
(*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)
accuracy0.25390625
(/.f64 #s(literal 4 binary64) (/.f64 (PI.f64) (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))))
accuracy0.3671875
(/.f64 (PI.f64) (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))))
accuracy0.4843632076963094
(PI.f64)
Samples
107.0ms254×0valid
15.0ms5exit
Compiler

Compiled 562 to 63 computations (88.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 90.0ms
ival-div: 47.0ms (52.2% of total)
ival-log: 18.0ms (20% of total)
ival-mult: 15.0ms (16.7% of total)
ival-tanh: 7.0ms (7.8% of total)
ival-sqrt: 2.0ms (2.2% of total)
ival-pi: 1.0ms (1.1% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series81.0ms (0.5%)

Memory
8.2MiB live, 45.8MiB allocated
Counts
22 → 216
Calls
Call 1
Inputs
#s(alt (/.f64 #s(literal 4 binary64) (/.f64 (PI.f64) (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))))) (patch (/.f64 #s(literal 4 binary64) (/.f64 (PI.f64) (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))))) #<representation binary64>) () ())
#s(alt (/.f64 (PI.f64) (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))) (patch (/.f64 (PI.f64) (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))) #<representation binary64>) () ())
#s(alt (PI.f64) (patch (PI.f64) #<representation binary64>) () ())
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Outputs
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#s(alt (log (/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))) (taylor -inf f) (#s(alt #s(approx (log (tanh (* f (* 1/4 (PI))))) (log.f64 (*.f64 (*.f64 f #s(literal 1/4 binary64)) (PI.f64)))) (patch #s(approx (log (tanh (* f (* 1/4 (PI))))) (log.f64 (*.f64 (*.f64 f #s(literal 1/4 binary64)) (PI.f64)))) #<representation binary64>) () ())) ())
#s(alt (log (/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))) (taylor -inf f) (#s(alt #s(approx (log (tanh (* f (* 1/4 (PI))))) (log.f64 (*.f64 (*.f64 f #s(literal 1/4 binary64)) (PI.f64)))) (patch #s(approx (log (tanh (* f (* 1/4 (PI))))) (log.f64 (*.f64 (*.f64 f #s(literal 1/4 binary64)) (PI.f64)))) #<representation binary64>) () ())) ())
Calls

3 calls:

TimeVariablePointExpression
49.0ms
f
@-inf
((/ 4 (/ (PI) (log (tanh (* (* (PI) 1/4) f))))) (/ (PI) (log (tanh (* (* (PI) 1/4) f)))) (PI) (log (tanh (* (* (PI) 1/4) f))) (* (/ 4 (PI)) (log (tanh (* f (* 1/4 (PI)))))) (/ 4 (PI)) (log (tanh (* f (* 1/4 (PI))))) (/ 1 (/ 1/4 (/ (log (tanh (* f (* 1/4 (PI))))) (PI)))) (/ 1/4 (/ (log (tanh (* f (* 1/4 (PI))))) (PI))) (/ (log (tanh (* f (* 1/4 (PI))))) (PI)) (/ (* (/ 4 (sqrt (PI))) (log (tanh (* f (* 1/4 (PI)))))) (sqrt (PI))) (* (/ 4 (sqrt (PI))) (log (tanh (* f (* 1/4 (PI)))))) (/ 4 (sqrt (PI))) (sqrt (PI)) (* (* (/ 1/4 (log (tanh (* f (* 1/4 (PI)))))) (sqrt (PI))) (sqrt (PI))) (/ 1 (* (* (/ 1/4 (log (tanh (* f (* 1/4 (PI)))))) (sqrt (PI))) (sqrt (PI)))) (* (/ 1/4 (log (tanh (* f (* 1/4 (PI)))))) (sqrt (PI))) (/ 1/4 (log (tanh (* f (* 1/4 (PI)))))) (* (* (PI) 1/4) f) (tanh (* f (* 1/4 (PI)))) (* (* f 1/4) (PI)) (log (tanh (* f (* 1/4 (PI))))))
11.0ms
f
@inf
((/ 4 (/ (PI) (log (tanh (* (* (PI) 1/4) f))))) (/ (PI) (log (tanh (* (* (PI) 1/4) f)))) (PI) (log (tanh (* (* (PI) 1/4) f))) (* (/ 4 (PI)) (log (tanh (* f (* 1/4 (PI)))))) (/ 4 (PI)) (log (tanh (* f (* 1/4 (PI))))) (/ 1 (/ 1/4 (/ (log (tanh (* f (* 1/4 (PI))))) (PI)))) (/ 1/4 (/ (log (tanh (* f (* 1/4 (PI))))) (PI))) (/ (log (tanh (* f (* 1/4 (PI))))) (PI)) (/ (* (/ 4 (sqrt (PI))) (log (tanh (* f (* 1/4 (PI)))))) (sqrt (PI))) (* (/ 4 (sqrt (PI))) (log (tanh (* f (* 1/4 (PI)))))) (/ 4 (sqrt (PI))) (sqrt (PI)) (* (* (/ 1/4 (log (tanh (* f (* 1/4 (PI)))))) (sqrt (PI))) (sqrt (PI))) (/ 1 (* (* (/ 1/4 (log (tanh (* f (* 1/4 (PI)))))) (sqrt (PI))) (sqrt (PI)))) (* (/ 1/4 (log (tanh (* f (* 1/4 (PI)))))) (sqrt (PI))) (/ 1/4 (log (tanh (* f (* 1/4 (PI)))))) (* (* (PI) 1/4) f) (tanh (* f (* 1/4 (PI)))) (* (* f 1/4) (PI)) (log (tanh (* f (* 1/4 (PI))))))
7.0ms
f
@0
((/ 4 (/ (PI) (log (tanh (* (* (PI) 1/4) f))))) (/ (PI) (log (tanh (* (* (PI) 1/4) f)))) (PI) (log (tanh (* (* (PI) 1/4) f))) (* (/ 4 (PI)) (log (tanh (* f (* 1/4 (PI)))))) (/ 4 (PI)) (log (tanh (* f (* 1/4 (PI))))) (/ 1 (/ 1/4 (/ (log (tanh (* f (* 1/4 (PI))))) (PI)))) (/ 1/4 (/ (log (tanh (* f (* 1/4 (PI))))) (PI))) (/ (log (tanh (* f (* 1/4 (PI))))) (PI)) (/ (* (/ 4 (sqrt (PI))) (log (tanh (* f (* 1/4 (PI)))))) (sqrt (PI))) (* (/ 4 (sqrt (PI))) (log (tanh (* f (* 1/4 (PI)))))) (/ 4 (sqrt (PI))) (sqrt (PI)) (* (* (/ 1/4 (log (tanh (* f (* 1/4 (PI)))))) (sqrt (PI))) (sqrt (PI))) (/ 1 (* (* (/ 1/4 (log (tanh (* f (* 1/4 (PI)))))) (sqrt (PI))) (sqrt (PI)))) (* (/ 1/4 (log (tanh (* f (* 1/4 (PI)))))) (sqrt (PI))) (/ 1/4 (log (tanh (* f (* 1/4 (PI)))))) (* (* (PI) 1/4) f) (tanh (* f (* 1/4 (PI)))) (* (* f 1/4) (PI)) (log (tanh (* f (* 1/4 (PI))))))

simplify146.0ms (0.9%)

Memory
17.5MiB live, 97.2MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
033410441
111498643
252096730
087116481
Stop Event
iter limit
node limit
Counts
216 → 216
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))))
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(/ (PI) (+ (log f) (log (* 1/4 (PI)))))
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(+ (* f (- (* -1 (* f (+ (* -4 (/ (pow (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) 2) (* (PI) (pow (+ (log f) (log (* 1/4 (PI)))) 3)))) (* 1/2 (/ (* (PI) (+ (* -4 (/ (pow (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) 2) (pow (PI) 2))) (* 8 (/ (- (* 1/2 (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (+ (* -1/128 (pow (PI) 3)) (* 1/192 (pow (PI) 3))))) (* 1/128 (pow (PI) 3))) (PI))))) (pow (+ (log f) (log (* 1/4 (PI)))) 2)))))) (* 2 (/ (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) (pow (+ (log f) (log (* 1/4 (PI)))) 2))))) (/ (PI) (+ (log f) (log (* 1/4 (PI))))))
(+ (* f (- (* f (- (* -1 (* f (+ (* -2 (/ (* (+ (* -4 (/ (pow (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) 2) (* (PI) (pow (+ (log f) (log (* 1/4 (PI)))) 3)))) (* 1/2 (/ (* (PI) (+ (* -4 (/ (pow (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) 2) (pow (PI) 2))) (* 8 (/ (- (* 1/2 (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (+ (* -1/128 (pow (PI) 3)) (* 1/192 (pow (PI) 3))))) (* 1/128 (pow (PI) 3))) (PI))))) (pow (+ (log f) (log (* 1/4 (PI)))) 2)))) (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2)))) (* (PI) (+ (log f) (log (* 1/4 (PI))))))) (+ (* -1 (/ (* (+ (* -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)))) (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2)))) (pow (+ (log f) (log (* 1/4 (PI)))) 3))) (* 1/6 (/ (* (PI) (+ (* -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)))))) (pow (+ (log f) (log (* 1/4 (PI)))) 2))))))) (+ (* -4 (/ (pow (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) 2) (* (PI) (pow (+ (log f) (log (* 1/4 (PI)))) 3)))) (* 1/2 (/ (* (PI) (+ (* -4 (/ (pow (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) 2) (pow (PI) 2))) (* 8 (/ (- (* 1/2 (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (+ (* -1/128 (pow (PI) 3)) (* 1/192 (pow (PI) 3))))) (* 1/128 (pow (PI) 3))) (PI))))) (pow (+ (log f) (log (* 1/4 (PI)))) 2)))))) (* 2 (/ (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) (pow (+ (log f) (log (* 1/4 (PI)))) 2))))) (/ (PI) (+ (log f) (log (* 1/4 (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)))))))
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(* 4 (/ (+ (log f) (log (* 1/4 (PI)))) (PI)))
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(+ (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)))))
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(* 4 (/ (+ (log f) (log (* 1/4 (PI)))) (PI)))
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(* 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 (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))))))
(* 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))))))))))
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(* 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))))))))))
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(* 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))))))
(* 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))))))))))
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(* 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))))))))))
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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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(* 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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(* 1/4 (* (sqrt (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)))))))))))
(/.f64 (*.f64 (sqrt.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))))))
(* 1/4 (* (sqrt (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)))))))))))
(/.f64 (*.f64 (sqrt.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))))))
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(log (/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI))))))))
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(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 (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 (/ (- (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 (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)))))

rewrite288.0ms (1.8%)

Memory
17.9MiB live, 198.0MiB allocated
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
035276
059268
1211260
21010260
37270260
08487260
Stop Event
iter limit
node limit
iter limit
Counts
22 → 1 318
Calls
Call 1
Inputs
(/.f64 #s(literal 4 binary64) (/.f64 (PI.f64) (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))))
(/.f64 (PI.f64) (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))))
(PI.f64)
(log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))
(*.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (*.f64 f #s(literal 1/4 binary64)) (PI.f64)))))
(/.f64 #s(literal 4 binary64) (PI.f64))
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(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/4 binary64) (/.f64 (log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (*.f64 f #s(literal 1/4 binary64)) (PI.f64)))) (PI.f64))))
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(/.f64 (log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (*.f64 f #s(literal 1/4 binary64)) (PI.f64)))) (PI.f64))
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(*.f64 (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64))) #s(approx (log (tanh (* f (* 1/4 (PI))))) (log.f64 (*.f64 (*.f64 f #s(literal 1/4 binary64)) (PI.f64)))))
(/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64)))
(sqrt.f64 (PI.f64))
(*.f64 (*.f64 (/.f64 #s(literal 1/4 binary64) #s(approx (log (tanh (* f (* 1/4 (PI))))) (log.f64 (*.f64 (*.f64 f #s(literal 1/4 binary64)) (PI.f64))))) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1/4 binary64) #s(approx (log (tanh (* f (* 1/4 (PI))))) (log.f64 (*.f64 (*.f64 f #s(literal 1/4 binary64)) (PI.f64))))) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64))))
(*.f64 (/.f64 #s(literal 1/4 binary64) #s(approx (log (tanh (* f (* 1/4 (PI))))) (log.f64 (*.f64 (*.f64 f #s(literal 1/4 binary64)) (PI.f64))))) (sqrt.f64 (PI.f64)))
(/.f64 #s(literal 1/4 binary64) #s(approx (log (tanh (* f (* 1/4 (PI))))) (log.f64 (*.f64 (*.f64 f #s(literal 1/4 binary64)) (PI.f64)))))
(*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)
#s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (*.f64 f #s(literal 1/4 binary64)) (PI.f64)))
(*.f64 (*.f64 f #s(literal 1/4 binary64)) (PI.f64))
#s(approx (log (tanh (* f (* 1/4 (PI))))) (log.f64 (*.f64 (*.f64 f #s(literal 1/4 binary64)) (PI.f64))))
Outputs
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eval820.0ms (5.3%)

Memory
-102.9MiB live, 621.9MiB allocated
Compiler

Compiled 51 984 to 6 499 computations (87.5% saved)

prune159.0ms (1%)

Memory
9.4MiB live, 173.6MiB allocated
Pruning

19 alts after pruning (12 fresh and 7 done)

PrunedKeptTotal
New2 55442 558
Fresh7815
Picked055
Done123
Total2 562192 581
Accuracy
100.0%
Counts
2 581 → 19
Alt Table
Click to see full alt table
StatusAccuracyProgram
97.8%
(/.f64 (/.f64 #s(literal -4 binary64) (PI.f64)) (/.f64 #s(literal -1 binary64) #s(approx (log (tanh (* f (* 1/4 (PI))))) (log.f64 (*.f64 (*.f64 f #s(literal 1/4 binary64)) (PI.f64))))))
97.9%
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (*.f64 #s(literal -1/4 binary64) (PI.f64))) (*.f64 (*.f64 #s(literal -1/4 binary64) (PI.f64)) (log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (*.f64 f #s(literal 1/4 binary64)) (PI.f64)))))) (*.f64 (*.f64 #s(literal -1/4 binary64) (PI.f64)) (*.f64 #s(literal -1/4 binary64) (PI.f64))))
97.8%
(/.f64 (*.f64 (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64))) #s(approx (log (tanh (* f (* 1/4 (PI))))) (log.f64 (*.f64 (*.f64 f #s(literal 1/4 binary64)) (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)))
98.0%
(/.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)))
99.3%
(/.f64 #s(literal 4 binary64) (/.f64 (PI.f64) (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))))
97.8%
(/.f64 #s(literal 4 binary64) (/.f64 (PI.f64) (log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (*.f64 f #s(literal 1/4 binary64)) (PI.f64))))))
97.9%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/4 binary64) (/.f64 (log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (*.f64 f #s(literal 1/4 binary64)) (PI.f64)))) (PI.f64))))
97.8%
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1/4 binary64) (log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (*.f64 f #s(literal 1/4 binary64)) (PI.f64))))) (PI.f64)))
97.0%
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1/4 binary64) #s(approx (log (tanh (* f (* 1/4 (PI))))) (log.f64 (*.f64 (*.f64 f #s(literal 1/4 binary64)) (PI.f64))))) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64))))
97.7%
(*.f64 (/.f64 (log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (*.f64 f #s(literal 1/4 binary64)) (PI.f64)))) (sqrt.f64 (PI.f64))) (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64))))
96.5%
(*.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 f #s(literal 1/4 binary64)) (PI.f64)))))
97.9%
(*.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (*.f64 f #s(literal 1/4 binary64)) (PI.f64)))))
98.0%
(*.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) #s(approx (log (tanh (* f (* 1/4 (PI))))) (+.f64 (log.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64))) (log.f64 f))))
98.0%
(*.f64 (/.f64 #s(literal -1 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 (*.f64 f #s(literal 1/4 binary64)) (PI.f64))))))
97.9%
(*.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))))
97.5%
(*.f64 #s(approx (log (tanh (* f (* 1/4 (PI))))) (log.f64 (*.f64 (*.f64 f #s(literal 1/4 binary64)) (PI.f64)))) (*.f64 (/.f64 #s(literal -4 binary64) (sqrt.f64 (PI.f64))) (/.f64 #s(literal -1 binary64) (sqrt.f64 (PI.f64)))))
98.4%
(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)))))
96.5%
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 1/4 binary64) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)))) (log.f64 #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)))))
Compiler

Compiled 1 111 to 434 computations (60.9% saved)

regimes153.0ms (1%)

Memory
-29.6MiB live, 100.6MiB allocated
Counts
46 → 1
Calls
Call 1
Inputs
(*.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (*.f64 f #s(literal 1/4 binary64)) (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 #s(literal 4 binary64) (/.f64 (PI.f64) #s(approx (log (tanh (* f (* 1/4 (PI))))) (log.f64 (*.f64 (*.f64 f #s(literal 1/4 binary64)) (PI.f64))))))
(/.f64 #s(literal 4 binary64) (/.f64 (PI.f64) (log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (*.f64 f #s(literal 1/4 binary64)) (PI.f64))))))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1/4 binary64) (log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (*.f64 f #s(literal 1/4 binary64)) (PI.f64))))) (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 (PI.f64) f) #s(literal 1/4 binary64))))))
(*.f64 (/.f64 #s(literal -4 binary64) (PI.f64)) (log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/4 binary64) (/.f64 (log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (*.f64 f #s(literal 1/4 binary64)) (PI.f64)))) (PI.f64))))
(/.f64 (/.f64 #s(literal -4 binary64) (PI.f64)) (/.f64 #s(literal -1 binary64) #s(approx (log (tanh (* f (* 1/4 (PI))))) (log.f64 (*.f64 (*.f64 f #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) (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)))) (log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (*.f64 f #s(literal 1/4 binary64)) (PI.f64)))))
(/.f64 (log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64)))) (*.f64 (*.f64 #s(literal 1/4 binary64) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64))))
(*.f64 (/.f64 (log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (*.f64 f #s(literal 1/4 binary64)) (PI.f64)))) (sqrt.f64 (PI.f64))) (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64))))
(/.f64 (*.f64 (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64))) #s(approx (log (tanh (* f (* 1/4 (PI))))) (log.f64 (*.f64 (*.f64 f #s(literal 1/4 binary64)) (PI.f64))))) (sqrt.f64 (PI.f64)))
(/.f64 (/.f64 (log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (*.f64 f #s(literal 1/4 binary64)) (PI.f64)))) (sqrt.f64 (PI.f64))) (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/4 binary64)))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (*.f64 #s(literal -1/4 binary64) (PI.f64))) (*.f64 (*.f64 #s(literal -1/4 binary64) (PI.f64)) (log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (*.f64 f #s(literal 1/4 binary64)) (PI.f64)))))) (*.f64 (*.f64 #s(literal -1/4 binary64) (PI.f64)) (*.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))))) (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (PI.f64))))
(*.f64 #s(approx (log (tanh (* f (* 1/4 (PI))))) (log.f64 (*.f64 (*.f64 f #s(literal 1/4 binary64)) (PI.f64)))) (*.f64 (/.f64 #s(literal -4 binary64) (sqrt.f64 (PI.f64))) (/.f64 #s(literal -1 binary64) (sqrt.f64 (PI.f64)))))
(*.f64 (/.f64 #s(literal -1 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 (*.f64 f #s(literal 1/4 binary64)) (PI.f64))))))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1/4 binary64) #s(approx (log (tanh (* f (* 1/4 (PI))))) (log.f64 (*.f64 (*.f64 f #s(literal 1/4 binary64)) (PI.f64))))) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64))))
(/.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 (PI.f64))) (/.f64 (sqrt.f64 (PI.f64)) (*.f64 #s(literal -4 binary64) (log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (*.f64 f #s(literal 1/4 binary64)) (PI.f64)))))))
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 1/4 binary64) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)))) (log.f64 #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)))))
(*.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) #s(approx (log (tanh (* f (* 1/4 (PI))))) (+.f64 (log.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64))) (log.f64 f))))
(/.f64 #s(approx (log (tanh (* f (* 1/4 (PI))))) (+.f64 (log.f64 (*.f64 f #s(literal 1/4 binary64))) (log.f64 (PI.f64)))) (*.f64 #s(literal 1/4 binary64) (PI.f64)))
(/.f64 #s(approx (log (tanh (* f (* 1/4 (PI))))) (+.f64 (log.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64))) (log.f64 f))) (*.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)))
#s(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 4 binary64) (/.f64 (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 1/4 binary64) (PI.f64)) #s(approx (log (tanh (* f (* 1/4 (PI))))) (+.f64 (log.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64))) (log.f64 f)))))
(/.f64 #s(literal 1 binary64) (*.f64 (PI.f64) (/.f64 #s(literal 1/4 binary64) (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #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 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (/.f64 #s(literal -4 binary64) (sqrt.f64 (PI.f64)))) (log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (*.f64 f #s(literal 1/4 binary64)) (PI.f64))))))
(neg.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 (-.f64 (*.f64 #s(literal 0 binary64) (PI.f64)) (*.f64 (*.f64 #s(literal -1/4 binary64) (PI.f64)) (*.f64 #s(literal -4 binary64) (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))))) (*.f64 (*.f64 #s(literal -1/4 binary64) (PI.f64)) (PI.f64)))
(neg.f64 (*.f64 (*.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (/.f64 #s(literal 4 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 (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 (*.f64 (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64))) (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))) (pow.f64 (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 (/.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))))
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))))))
(/.f64 (neg.f64 (pow.f64 (*.f64 (log.f64 (tanh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64))))) (/.f64 #s(literal -4 binary64) (PI.f64))) #s(literal 3 binary64))) (+.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)) #s(literal 0 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 3 binary64))) (/.f64 #s(literal 1 binary64) (+.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)) #s(literal 0 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.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)) #s(literal 0 binary64)) (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 3 binary64)))))
(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))))
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:

58.0ms
(*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)
41.0ms
f
22.0ms
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))))))
10.0ms
(log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))))
10.0ms
(/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (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)

regimes71.0ms (0.5%)

Memory
-6.5MiB live, 31.9MiB allocated
Counts
26 → 1
Calls
Call 1
Inputs
(*.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (*.f64 f #s(literal 1/4 binary64)) (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 #s(literal 4 binary64) (/.f64 (PI.f64) #s(approx (log (tanh (* f (* 1/4 (PI))))) (log.f64 (*.f64 (*.f64 f #s(literal 1/4 binary64)) (PI.f64))))))
(/.f64 #s(literal 4 binary64) (/.f64 (PI.f64) (log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (*.f64 f #s(literal 1/4 binary64)) (PI.f64))))))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1/4 binary64) (log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (*.f64 f #s(literal 1/4 binary64)) (PI.f64))))) (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 (PI.f64) f) #s(literal 1/4 binary64))))))
(*.f64 (/.f64 #s(literal -4 binary64) (PI.f64)) (log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/4 binary64) (/.f64 (log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (*.f64 f #s(literal 1/4 binary64)) (PI.f64)))) (PI.f64))))
(/.f64 (/.f64 #s(literal -4 binary64) (PI.f64)) (/.f64 #s(literal -1 binary64) #s(approx (log (tanh (* f (* 1/4 (PI))))) (log.f64 (*.f64 (*.f64 f #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) (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)))) (log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (*.f64 f #s(literal 1/4 binary64)) (PI.f64)))))
(/.f64 (log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64)))) (*.f64 (*.f64 #s(literal 1/4 binary64) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64))))
(*.f64 (/.f64 (log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (*.f64 f #s(literal 1/4 binary64)) (PI.f64)))) (sqrt.f64 (PI.f64))) (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64))))
(/.f64 (*.f64 (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64))) #s(approx (log (tanh (* f (* 1/4 (PI))))) (log.f64 (*.f64 (*.f64 f #s(literal 1/4 binary64)) (PI.f64))))) (sqrt.f64 (PI.f64)))
(/.f64 (/.f64 (log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (*.f64 f #s(literal 1/4 binary64)) (PI.f64)))) (sqrt.f64 (PI.f64))) (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/4 binary64)))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (*.f64 #s(literal -1/4 binary64) (PI.f64))) (*.f64 (*.f64 #s(literal -1/4 binary64) (PI.f64)) (log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (*.f64 f #s(literal 1/4 binary64)) (PI.f64)))))) (*.f64 (*.f64 #s(literal -1/4 binary64) (PI.f64)) (*.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))))) (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (PI.f64))))
(*.f64 #s(approx (log (tanh (* f (* 1/4 (PI))))) (log.f64 (*.f64 (*.f64 f #s(literal 1/4 binary64)) (PI.f64)))) (*.f64 (/.f64 #s(literal -4 binary64) (sqrt.f64 (PI.f64))) (/.f64 #s(literal -1 binary64) (sqrt.f64 (PI.f64)))))
(*.f64 (/.f64 #s(literal -1 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 (*.f64 f #s(literal 1/4 binary64)) (PI.f64))))))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1/4 binary64) #s(approx (log (tanh (* f (* 1/4 (PI))))) (log.f64 (*.f64 (*.f64 f #s(literal 1/4 binary64)) (PI.f64))))) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64))))
(/.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 (PI.f64))) (/.f64 (sqrt.f64 (PI.f64)) (*.f64 #s(literal -4 binary64) (log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (*.f64 f #s(literal 1/4 binary64)) (PI.f64)))))))
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 1/4 binary64) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)))) (log.f64 #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)))))
(*.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) #s(approx (log (tanh (* f (* 1/4 (PI))))) (+.f64 (log.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64))) (log.f64 f))))
(/.f64 #s(approx (log (tanh (* f (* 1/4 (PI))))) (+.f64 (log.f64 (*.f64 f #s(literal 1/4 binary64))) (log.f64 (PI.f64)))) (*.f64 #s(literal 1/4 binary64) (PI.f64)))
(/.f64 #s(approx (log (tanh (* f (* 1/4 (PI))))) (+.f64 (log.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64))) (log.f64 f))) (*.f64 #s(literal 1/4 binary64) (PI.f64)))
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)))))
Calls

6 calls:

37.0ms
f
7.0ms
(*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)
6.0ms
(/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))))
6.0ms
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))))))
6.0ms
(log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))))
Results
AccuracySegmentsBranch
98.4%1f
98.4%1(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))))))
98.4%1(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))))))
98.4%1(log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))))
98.4%1(/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))))
98.4%1(*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)
Compiler

Compiled 138 to 60 computations (56.5% saved)

regimes36.0ms (0.2%)

Memory
23.4MiB live, 23.4MiB allocated
Counts
22 → 1
Calls
Call 1
Inputs
(*.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (*.f64 f #s(literal 1/4 binary64)) (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 #s(literal 4 binary64) (/.f64 (PI.f64) #s(approx (log (tanh (* f (* 1/4 (PI))))) (log.f64 (*.f64 (*.f64 f #s(literal 1/4 binary64)) (PI.f64))))))
(/.f64 #s(literal 4 binary64) (/.f64 (PI.f64) (log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (*.f64 f #s(literal 1/4 binary64)) (PI.f64))))))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1/4 binary64) (log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (*.f64 f #s(literal 1/4 binary64)) (PI.f64))))) (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 (PI.f64) f) #s(literal 1/4 binary64))))))
(*.f64 (/.f64 #s(literal -4 binary64) (PI.f64)) (log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/4 binary64) (/.f64 (log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (*.f64 f #s(literal 1/4 binary64)) (PI.f64)))) (PI.f64))))
(/.f64 (/.f64 #s(literal -4 binary64) (PI.f64)) (/.f64 #s(literal -1 binary64) #s(approx (log (tanh (* f (* 1/4 (PI))))) (log.f64 (*.f64 (*.f64 f #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) (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)))) (log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (*.f64 f #s(literal 1/4 binary64)) (PI.f64)))))
(/.f64 (log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64)))) (*.f64 (*.f64 #s(literal 1/4 binary64) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64))))
(*.f64 (/.f64 (log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (*.f64 f #s(literal 1/4 binary64)) (PI.f64)))) (sqrt.f64 (PI.f64))) (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64))))
(/.f64 (*.f64 (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64))) #s(approx (log (tanh (* f (* 1/4 (PI))))) (log.f64 (*.f64 (*.f64 f #s(literal 1/4 binary64)) (PI.f64))))) (sqrt.f64 (PI.f64)))
(/.f64 (/.f64 (log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (*.f64 f #s(literal 1/4 binary64)) (PI.f64)))) (sqrt.f64 (PI.f64))) (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/4 binary64)))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (*.f64 #s(literal -1/4 binary64) (PI.f64))) (*.f64 (*.f64 #s(literal -1/4 binary64) (PI.f64)) (log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (*.f64 f #s(literal 1/4 binary64)) (PI.f64)))))) (*.f64 (*.f64 #s(literal -1/4 binary64) (PI.f64)) (*.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))))) (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (PI.f64))))
(*.f64 #s(approx (log (tanh (* f (* 1/4 (PI))))) (log.f64 (*.f64 (*.f64 f #s(literal 1/4 binary64)) (PI.f64)))) (*.f64 (/.f64 #s(literal -4 binary64) (sqrt.f64 (PI.f64))) (/.f64 #s(literal -1 binary64) (sqrt.f64 (PI.f64)))))
(*.f64 (/.f64 #s(literal -1 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 (*.f64 f #s(literal 1/4 binary64)) (PI.f64))))))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1/4 binary64) #s(approx (log (tanh (* f (* 1/4 (PI))))) (log.f64 (*.f64 (*.f64 f #s(literal 1/4 binary64)) (PI.f64))))) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64))))
(/.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 (PI.f64))) (/.f64 (sqrt.f64 (PI.f64)) (*.f64 #s(literal -4 binary64) (log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (*.f64 f #s(literal 1/4 binary64)) (PI.f64)))))))
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 1/4 binary64) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)))) (log.f64 #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 (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
(*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)
6.0ms
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
(/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))))
5.0ms
(log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))))
Results
AccuracySegmentsBranch
98.0%1f
98.0%1(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))))))
98.0%1(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))))))
98.0%1(log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))))
98.0%1(/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))))
98.0%1(*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)
Compiler

Compiled 138 to 60 computations (56.5% saved)

regimes8.0ms (0%)

Memory
11.8MiB live, 11.8MiB allocated
Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts
1 → 1
Calls
Call 1
Inputs
(*.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (*.f64 f #s(literal 1/4 binary64)) (PI.f64)))))
Outputs
(*.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (*.f64 f #s(literal 1/4 binary64)) (PI.f64)))))
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
97.9%1f
97.9%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))))))))
97.9%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)))))))
97.9%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))))))
97.9%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)))))
97.9%1(*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)
Compiler

Compiled 138 to 60 computations (56.5% saved)

simplify65.0ms (0.4%)

Memory
-32.7MiB live, 47.5MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
048100
169100
282100
39599
410799
513599
617399
717699
Stop Event
saturated
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)))
(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 (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 f #s(literal 1/4 binary64)) (PI.f64)))))
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 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (*.f64 (PI.f64) #s(literal 1/4 binary64)))
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 #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 #s(literal 1/48 binary64) (PI.f64)) (*.f64 #s(literal 1/8 binary64) (PI.f64))) f) 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 (log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64)))) (*.f64 (PI.f64) #s(literal 1/4 binary64)))
(*.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (*.f64 f #s(literal 1/4 binary64)) (PI.f64)))))
(*.f64 (log.f64 #s(approx (tanh (* f (* 1/4 (PI)))) (*.f64 (*.f64 #s(literal 1/4 binary64) f) (PI.f64)))) (/.f64 #s(literal 4 binary64) (PI.f64)))

soundness743.0ms (4.8%)

Memory
10.1MiB live, 539.1MiB allocated
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
016129
02987
111949
278349
0856149
049511858
1171510024
081899602
037251
062238
1217229
21075227
08376227
01711490
14841364
217541236
370671196
091941178
Stop Event
fuel
iter limit
node limit
iter limit
node limit
iter limit
iter limit
node limit
iter limit
node limit
iter limit
Compiler

Compiled 211 to 111 computations (47.4% saved)

preprocess39.0ms (0.2%)

Memory
-2.9MiB live, 74.1MiB allocated
Compiler

Compiled 190 to 102 computations (46.3% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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