VandenBroeck and Keller, Equation (20)

Time bar (total: 17.6s)

analyze202.0ms (1.1%)

Memory
-14.8MiB live, 260.5MiB 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)

sample5.7s (32.4%)

Memory
122.8MiB live, 6 198.5MiB allocated
Samples
2.2s7 602×1valid
2.2s7 058×1invalid
198.0ms181×2valid
58.0ms473×0valid
1.0ms0exit
0.0ms0invalid
Precisions
Click to see histograms. Total time spent on operations: 4.1s
ival-exp: 1.1s (26% of total)
ival-div: 731.0ms (17.7% of total)
ival-log: 612.0ms (14.8% of total)
ival-mult: 476.0ms (11.5% of total)
adjust: 403.0ms (9.7% of total)
ival-neg: 334.0ms (8.1% of total)
ival-pi: 174.0ms (4.2% of total)
ival-sub: 151.0ms (3.7% of total)
ival-add: 147.0ms (3.6% of total)
exact: 15.0ms (0.4% of total)
ival-true: 12.0ms (0.3% of total)
ival-assert: 6.0ms (0.1% of total)
Bogosity

preprocess490.0ms (2.8%)

Memory
-5.7MiB live, 537.3MiB allocated
Algorithm
egg-herbie
Rules
8 988×lower-fma.f64
8 988×lower-fma.f32
2 264×lower-+.f32
2 262×lower-+.f64
2 004×lower--.f32
Iterations

Useful iterations: 0 (0.0ms)

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

explain348.0ms (2%)

Memory
6.0MiB live, 578.1MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
2480-0-(-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))
50-0-(/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))))
25(936559763.8227499)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))))))
10-1(69.16321125540563)(exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))
10-1(69.16321125540563)(exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))
00-0-#s(literal 1 binary64)
00-0-(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))))))
00-0-(/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64)))
00-0-#s(literal 4 binary64)
00-0-(+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))
00-0-(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))))))
00-0-f
00-0-(/.f64 (PI.f64) #s(literal 4 binary64))
00-0-(*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)
00-0-(neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))
00-0-(PI.f64)
Explanations
Click to see full explanations table
OperatorSubexpressionExplanationCount
-.f64(-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))cancellation2480
log.f64(log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))))sensitivity70
/.f64(/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))))o/o50
(exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))overflow5
(+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))overflow5
(exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))overflow5
(-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))overflow5
Confusion
Predicted +Predicted -
+2550
-01
Precision
1.0
Recall
1.0
Confusion?
Predicted +Predicted MaybePredicted -
+25500
-001
Precision?
1.0
Recall?
1.0
Freqs
test
numberfreq
01
1250
25
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
137.0ms484×1valid
9.0ms10×2valid
2.0ms18×0valid
Compiler

Compiled 472 to 68 computations (85.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 117.0ms
ival-exp: 35.0ms (29.9% of total)
ival-div: 19.0ms (16.2% of total)
ival-log: 14.0ms (12% of total)
ival-mult: 12.0ms (10.3% of total)
adjust: 11.0ms (9.4% of total)
ival-neg: 8.0ms (6.8% of total)
ival-add: 7.0ms (6% of total)
ival-pi: 5.0ms (4.3% of total)
ival-sub: 5.0ms (4.3% of total)
ival-true: 1.0ms (0.9% of total)
exact: 1.0ms (0.9% of total)
ival-assert: 0.0ms (0% of total)

eval0.0ms (0%)

Memory
0.3MiB live, 0.3MiB allocated
Compiler

Compiled 1 to 1 computations (0% saved)

prune1.0ms (0%)

Memory
1.6MiB live, 1.6MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
5.0%
(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))))))))
Compiler

Compiled 38 to 16 computations (57.9% saved)

simplify0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

localize135.0ms (0.8%)

Memory
-18.7MiB live, 178.4MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy99.4%
(log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))))
accuracy99.4%
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))))))
accuracy97.7%
(/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))))
accuracy9.5%
(-.f64 (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
85.0ms242×1valid
5.0ms2valid
1.0ms0valid
Compiler

Compiled 198 to 18 computations (90.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 65.0ms
ival-exp: 17.0ms (26.1% of total)
ival-div: 12.0ms (18.4% of total)
ival-mult: 10.0ms (15.3% of total)
ival-log: 7.0ms (10.7% of total)
adjust: 5.0ms (7.7% of total)
ival-pi: 4.0ms (6.1% of total)
ival-neg: 4.0ms (6.1% of total)
ival-sub: 2.0ms (3.1% of total)
ival-add: 2.0ms (3.1% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series234.0ms (1.3%)

Memory
22.8MiB live, 137.2MiB allocated
Counts
4 → 48
Calls
Call 1
Inputs
#<alt (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))>
#<alt (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))))>
#<alt (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))))))>
#<alt (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (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
#<alt (* f (- (* 1/4 (PI)) (* -1/4 (PI))))>
#<alt (* f (- (+ (* 1/4 (PI)) (* (pow f 2) (- (* 1/384 (pow (PI) 3)) (* -1/384 (pow (PI) 3))))) (* -1/4 (PI))))>
#<alt (* f (- (+ (* 1/4 (PI)) (* (pow f 2) (- (+ (* 1/384 (pow (PI) 3)) (* (pow f 2) (- (* 1/122880 (pow (PI) 5)) (* -1/122880 (pow (PI) 5))))) (* -1/384 (pow (PI) 3))))) (* -1/4 (PI))))>
#<alt (* f (- (+ (* 1/4 (PI)) (* (pow f 2) (- (+ (* 1/384 (pow (PI) 3)) (* (pow f 2) (- (+ (* 1/122880 (pow (PI) 5)) (* (pow f 2) (- (* 1/82575360 (pow (PI) 7)) (* -1/82575360 (pow (PI) 7))))) (* -1/122880 (pow (PI) 5))))) (* -1/384 (pow (PI) 3))))) (* -1/4 (PI))))>
#<alt (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI))))))>
#<alt (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI))))))>
#<alt (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI))))))>
#<alt (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI))))))>
#<alt (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI))))))>
#<alt (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI))))))>
#<alt (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI))))))>
#<alt (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI))))))>
#<alt (/ 2 (* f (- (* 1/4 (PI)) (* -1/4 (PI)))))>
#<alt (/ (+ (* f (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))))) (* 2 (/ 1 (- (* 1/4 (PI)) (* -1/4 (PI)))))) f)>
#<alt (/ (+ (* f (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (+ (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* f (- (* 1/16 (/ (pow (PI) 2) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 2 (/ (- (* 1/384 (pow (PI) 3)) (* -1/384 (pow (PI) 3))) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 2)))))))) (* 2 (/ 1 (- (* 1/4 (PI)) (* -1/4 (PI)))))) f)>
#<alt (/ (+ (* f (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (+ (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* f (- (+ (* 1/16 (/ (pow (PI) 2) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* f (- (+ (* -1/384 (/ (pow (PI) 3) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/384 (/ (pow (PI) 3) (- (* 1/4 (PI)) (* -1/4 (PI)))))) (/ (* (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI)))))) (- (* 1/384 (pow (PI) 3)) (* -1/384 (pow (PI) 3)))) (- (* 1/4 (PI)) (* -1/4 (PI))))))) (* 2 (/ (- (* 1/384 (pow (PI) 3)) (* -1/384 (pow (PI) 3))) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 2)))))))) (* 2 (/ 1 (- (* 1/4 (PI)) (* -1/4 (PI)))))) f)>
#<alt (/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI)))))))>
#<alt (/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI)))))))>
#<alt (/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI)))))))>
#<alt (/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI)))))))>
#<alt (/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI)))))))>
#<alt (/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI)))))))>
#<alt (/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI)))))))>
#<alt (/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI)))))))>
#<alt (* 4 (/ (+ (log (/ 2 (- (* 1/4 (PI)) (* -1/4 (PI))))) (* -1 (log f))) (PI)))>
#<alt (+ (* 2 (/ (* f (* (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI)))))) (- (* 1/4 (PI)) (* -1/4 (PI))))) (PI))) (* 4 (/ (+ (log (/ 2 (- (* 1/4 (PI)) (* -1/4 (PI))))) (* -1 (log f))) (PI))))>
#<alt (+ (* 4 (/ (+ (log (/ 2 (- (* 1/4 (PI)) (* -1/4 (PI))))) (* -1 (log f))) (PI))) (* f (+ (* 2 (/ (* f (+ (* -1/4 (* (pow (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI)))))) 2) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 2))) (* (- (* 1/16 (/ (pow (PI) 2) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 2 (/ (- (* 1/384 (pow (PI) 3)) (* -1/384 (pow (PI) 3))) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 2)))) (- (* 1/4 (PI)) (* -1/4 (PI)))))) (PI))) (* 2 (/ (* (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI)))))) (- (* 1/4 (PI)) (* -1/4 (PI)))) (PI))))))>
#<alt (+ (* 4 (/ (+ (log (/ 2 (- (* 1/4 (PI)) (* -1/4 (PI))))) (* -1 (log f))) (PI))) (* f (+ (* 2 (/ (* (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI)))))) (- (* 1/4 (PI)) (* -1/4 (PI)))) (PI))) (* f (+ (* 2/3 (/ (* f (+ (* -3/2 (* (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI)))))) (* (- (* 1/16 (/ (pow (PI) 2) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 2 (/ (- (* 1/384 (pow (PI) 3)) (* -1/384 (pow (PI) 3))) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 2)))) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 2)))) (+ (* 1/4 (* (pow (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI)))))) 3) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 3))) (* 3 (* (- (* 1/4 (PI)) (* -1/4 (PI))) (- (+ (* -1/384 (/ (pow (PI) 3) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/384 (/ (pow (PI) 3) (- (* 1/4 (PI)) (* -1/4 (PI)))))) (/ (* (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI)))))) (- (* 1/384 (pow (PI) 3)) (* -1/384 (pow (PI) 3)))) (- (* 1/4 (PI)) (* -1/4 (PI)))))))))) (PI))) (* 2 (/ (+ (* -1/4 (* (pow (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI)))))) 2) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 2))) (* (- (* 1/16 (/ (pow (PI) 2) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 2 (/ (- (* 1/384 (pow (PI) 3)) (* -1/384 (pow (PI) 3))) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 2)))) (- (* 1/4 (PI)) (* -1/4 (PI))))) (PI))))))))>
#<alt (* 4 (/ (log (/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI)))))))) (PI)))>
#<alt (* 4 (/ (log (/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI)))))))) (PI)))>
#<alt (* 4 (/ (log (/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI)))))))) (PI)))>
#<alt (* 4 (/ (log (/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI)))))))) (PI)))>
#<alt (* 4 (/ (log (/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI)))))))) (PI)))>
#<alt (* 4 (/ (log (/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI)))))))) (PI)))>
#<alt (* 4 (/ (log (/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI)))))))) (PI)))>
#<alt (* 4 (/ (log (/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI)))))))) (PI)))>
#<alt (+ (log (/ 2 (- (* 1/4 (PI)) (* -1/4 (PI))))) (* -1 (log f)))>
#<alt (+ (log (/ 2 (- (* 1/4 (PI)) (* -1/4 (PI))))) (+ (* -1 (log f)) (* 1/2 (* 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))))))))>
#<alt (+ (log (/ 2 (- (* 1/4 (PI)) (* -1/4 (PI))))) (+ (* -1 (log f)) (* f (+ (* 1/2 (* 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))))))) (* 1/2 (* (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI)))))) (- (* 1/4 (PI)) (* -1/4 (PI)))))))))>
#<alt (+ (log (/ 2 (- (* 1/4 (PI)) (* -1/4 (PI))))) (+ (* -1 (log f)) (* f (+ (* 1/2 (* (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI)))))) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* f (+ (* 1/6 (* f (+ (* -3/2 (* (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI)))))) (* (- (* 1/16 (/ (pow (PI) 2) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 2 (/ (- (* 1/384 (pow (PI) 3)) (* -1/384 (pow (PI) 3))) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 2)))) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 2)))) (+ (* 1/4 (* (pow (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI)))))) 3) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 3))) (* 3 (* (- (* 1/4 (PI)) (* -1/4 (PI))) (- (+ (* -1/384 (/ (pow (PI) 3) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/384 (/ (pow (PI) 3) (- (* 1/4 (PI)) (* -1/4 (PI)))))) (/ (* (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI)))))) (- (* 1/384 (pow (PI) 3)) (* -1/384 (pow (PI) 3)))) (- (* 1/4 (PI)) (* -1/4 (PI))))))))))) (* 1/2 (+ (* -1/4 (* (pow (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI)))))) 2) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 2))) (* (- (* 1/16 (/ (pow (PI) 2) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 2 (/ (- (* 1/384 (pow (PI) 3)) (* -1/384 (pow (PI) 3))) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 2)))) (- (* 1/4 (PI)) (* -1/4 (PI))))))))))))>
#<alt (log (/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI))))))))>
#<alt (log (/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI))))))))>
#<alt (log (/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI))))))))>
#<alt (log (/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI))))))))>
#<alt (log (/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI))))))))>
#<alt (log (/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI))))))))>
#<alt (log (/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI))))))))>
#<alt (log (/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI))))))))>
Calls

12 calls:

TimeVariablePointExpression
153.0ms
f
@-inf
(* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))
72.0ms
f
@inf
(* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))
3.0ms
f
@0
(* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))
1.0ms
f
@0
(- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))
1.0ms
f
@0
(/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))

rewrite624.0ms (3.5%)

Memory
-6.3MiB live, 423.5MiB allocated
Algorithm
batch-egg-rewrite
Rules
4 910×lower-*.f32
4 906×lower-*.f64
3 348×lower-/.f32
3 342×lower-/.f64
3 134×lower-fma.f64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
015109
02767
111136
273435
0843735
Stop Event
iter limit
node limit
iter limit
Counts
4 → 433
Calls
Call 1
Inputs
(-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))
(/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))))))
(log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))))
Outputs
(+.f64 (exp.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)) (neg.f64 (exp.f64 (*.f64 (PI.f64) (*.f64 #s(literal -1/4 binary64) f)))))
(+.f64 (exp.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)) (*.f64 (neg.f64 (exp.f64 (*.f64 (PI.f64) (*.f64 #s(literal -1/4 binary64) f)))) #s(literal 1 binary64)))
(+.f64 (neg.f64 (exp.f64 (*.f64 (PI.f64) (*.f64 #s(literal -1/4 binary64) f)))) (exp.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))
(+.f64 (neg.f64 (exp.f64 (*.f64 (PI.f64) (*.f64 #s(literal -1/4 binary64) f)))) (*.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))))
(+.f64 (/.f64 (exp.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 3/4 binary64))) (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/2 binary64)))) (exp.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/2 binary64)))))) (neg.f64 (/.f64 (exp.f64 (neg.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 3/4 binary64)))) (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/2 binary64)))) (exp.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/2 binary64))))))))
(+.f64 (/.f64 (exp.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/2 binary64))) (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))) (neg.f64 (/.f64 (exp.f64 (neg.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/2 binary64)))) (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))))))
(+.f64 (neg.f64 (neg.f64 (exp.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))) (neg.f64 (exp.f64 (*.f64 (PI.f64) (*.f64 #s(literal -1/4 binary64) f)))))
(+.f64 (*.f64 (/.f64 (-.f64 (exp.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/2 binary64))) (exp.f64 (neg.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/2 binary64))))) (+.f64 (exp.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 3/4 binary64))) (exp.f64 (neg.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 3/4 binary64)))))) (exp.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/2 binary64)))) (*.f64 (/.f64 (-.f64 (exp.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/2 binary64))) (exp.f64 (neg.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/2 binary64))))) (+.f64 (exp.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 3/4 binary64))) (exp.f64 (neg.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 3/4 binary64)))))) (expm1.f64 (neg.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/2 binary64))))))
(+.f64 (*.f64 (/.f64 (-.f64 (exp.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/2 binary64))) (exp.f64 (neg.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/2 binary64))))) (+.f64 (exp.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 3/4 binary64))) (exp.f64 (neg.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 3/4 binary64)))))) (expm1.f64 (neg.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/2 binary64))))) (*.f64 (/.f64 (-.f64 (exp.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/2 binary64))) (exp.f64 (neg.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/2 binary64))))) (+.f64 (exp.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 3/4 binary64))) (exp.f64 (neg.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 3/4 binary64)))))) (exp.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/2 binary64)))))
(+.f64 (*.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (neg.f64 (exp.f64 (*.f64 (PI.f64) (*.f64 #s(literal -1/4 binary64) f)))))
(+.f64 (*.f64 (exp.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/2 binary64))) (/.f64 (-.f64 (exp.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/2 binary64))) (exp.f64 (neg.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/2 binary64))))) (+.f64 (exp.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 3/4 binary64))) (exp.f64 (neg.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 3/4 binary64))))))) (*.f64 (expm1.f64 (neg.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/2 binary64)))) (/.f64 (-.f64 (exp.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/2 binary64))) (exp.f64 (neg.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/2 binary64))))) (+.f64 (exp.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 3/4 binary64))) (exp.f64 (neg.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 3/4 binary64))))))))
(+.f64 (*.f64 (expm1.f64 (neg.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/2 binary64)))) (/.f64 (-.f64 (exp.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/2 binary64))) (exp.f64 (neg.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/2 binary64))))) (+.f64 (exp.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 3/4 binary64))) (exp.f64 (neg.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 3/4 binary64))))))) (*.f64 (exp.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/2 binary64))) (/.f64 (-.f64 (exp.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/2 binary64))) (exp.f64 (neg.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/2 binary64))))) (+.f64 (exp.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 3/4 binary64))) (exp.f64 (neg.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 3/4 binary64))))))))
(+.f64 (*.f64 (neg.f64 (exp.f64 (*.f64 (PI.f64) (*.f64 #s(literal -1/4 binary64) f)))) #s(literal 1 binary64)) (exp.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))
(-.f64 (exp.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)) (exp.f64 (*.f64 (PI.f64) (*.f64 #s(literal -1/4 binary64) f))))
(-.f64 (exp.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)) (/.f64 (exp.f64 (*.f64 (PI.f64) (*.f64 #s(literal -1/4 binary64) f))) #s(literal 1 binary64)))
(-.f64 #s(literal 0 binary64) (*.f64 (sinh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)) #s(literal -2 binary64)))
(-.f64 (/.f64 (exp.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 3/4 binary64))) (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/2 binary64)))) (exp.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/2 binary64)))))) (/.f64 (exp.f64 (neg.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 3/4 binary64)))) (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/2 binary64)))) (exp.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/2 binary64)))))))
(-.f64 (/.f64 (exp.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/2 binary64))) (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))) (/.f64 (exp.f64 (neg.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/2 binary64)))) (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))))
(-.f64 (/.f64 (/.f64 (exp.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 3/4 binary64))) (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/2 binary64)))) (exp.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/2 binary64)))))) #s(literal 1 binary64)) (/.f64 (/.f64 (exp.f64 (neg.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 3/4 binary64)))) (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (neg.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/2 binary64)))) (exp.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/2 binary64)))))) #s(literal 1 binary64)))
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simplify343.0ms (1.9%)

Memory
17.6MiB live, 346.7MiB allocated
Algorithm
egg-herbie
Rules
7 192×lower-fma.f64
7 192×lower-fma.f32
3 078×lower-*.f64
3 078×lower-*.f32
1 482×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01731398
15011260
219101128
082571107
Stop Event
iter limit
node limit
Counts
48 → 48
Calls
Call 1
Inputs
(* f (- (* 1/4 (PI)) (* -1/4 (PI))))
(* f (- (+ (* 1/4 (PI)) (* (pow f 2) (- (* 1/384 (pow (PI) 3)) (* -1/384 (pow (PI) 3))))) (* -1/4 (PI))))
(* f (- (+ (* 1/4 (PI)) (* (pow f 2) (- (+ (* 1/384 (pow (PI) 3)) (* (pow f 2) (- (* 1/122880 (pow (PI) 5)) (* -1/122880 (pow (PI) 5))))) (* -1/384 (pow (PI) 3))))) (* -1/4 (PI))))
(* f (- (+ (* 1/4 (PI)) (* (pow f 2) (- (+ (* 1/384 (pow (PI) 3)) (* (pow f 2) (- (+ (* 1/122880 (pow (PI) 5)) (* (pow f 2) (- (* 1/82575360 (pow (PI) 7)) (* -1/82575360 (pow (PI) 7))))) (* -1/122880 (pow (PI) 5))))) (* -1/384 (pow (PI) 3))))) (* -1/4 (PI))))
(- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI))))))
(- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI))))))
(- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI))))))
(- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI))))))
(- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI))))))
(- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI))))))
(- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI))))))
(- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI))))))
(/ 2 (* f (- (* 1/4 (PI)) (* -1/4 (PI)))))
(/ (+ (* f (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))))) (* 2 (/ 1 (- (* 1/4 (PI)) (* -1/4 (PI)))))) f)
(/ (+ (* f (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (+ (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* f (- (* 1/16 (/ (pow (PI) 2) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 2 (/ (- (* 1/384 (pow (PI) 3)) (* -1/384 (pow (PI) 3))) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 2)))))))) (* 2 (/ 1 (- (* 1/4 (PI)) (* -1/4 (PI)))))) f)
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(/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI)))))))
(/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI)))))))
(/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI)))))))
(/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI)))))))
(/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI)))))))
(/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI)))))))
(/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI)))))))
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(* 4 (/ (log (/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI)))))))) (PI)))
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(* 4 (/ (log (/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI)))))))) (PI)))
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(* 4 (/ (log (/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI)))))))) (PI)))
(*.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))) (exp.f64 (*.f64 f (*.f64 (PI.f64) #s(literal -1/4 binary64))))) (-.f64 (exp.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))) (exp.f64 (*.f64 f (*.f64 (PI.f64) #s(literal -1/4 binary64))))))) (/.f64 #s(literal 4 binary64) (PI.f64)))
(* 4 (/ (log (/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI)))))))) (PI)))
(*.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))) (exp.f64 (*.f64 f (*.f64 (PI.f64) #s(literal -1/4 binary64))))) (-.f64 (exp.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))) (exp.f64 (*.f64 f (*.f64 (PI.f64) #s(literal -1/4 binary64))))))) (/.f64 #s(literal 4 binary64) (PI.f64)))
(* 4 (/ (log (/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI)))))))) (PI)))
(*.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))) (exp.f64 (*.f64 f (*.f64 (PI.f64) #s(literal -1/4 binary64))))) (-.f64 (exp.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))) (exp.f64 (*.f64 f (*.f64 (PI.f64) #s(literal -1/4 binary64))))))) (/.f64 #s(literal 4 binary64) (PI.f64)))
(* 4 (/ (log (/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI)))))))) (PI)))
(*.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))) (exp.f64 (*.f64 f (*.f64 (PI.f64) #s(literal -1/4 binary64))))) (-.f64 (exp.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))) (exp.f64 (*.f64 f (*.f64 (PI.f64) #s(literal -1/4 binary64))))))) (/.f64 #s(literal 4 binary64) (PI.f64)))
(* 4 (/ (log (/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI)))))))) (PI)))
(*.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))) (exp.f64 (*.f64 f (*.f64 (PI.f64) #s(literal -1/4 binary64))))) (-.f64 (exp.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))) (exp.f64 (*.f64 f (*.f64 (PI.f64) #s(literal -1/4 binary64))))))) (/.f64 #s(literal 4 binary64) (PI.f64)))
(+ (log (/ 2 (- (* 1/4 (PI)) (* -1/4 (PI))))) (* -1 (log f)))
(-.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (log.f64 f))
(+ (log (/ 2 (- (* 1/4 (PI)) (* -1/4 (PI))))) (+ (* -1 (log f)) (* 1/2 (* 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))))))))
(-.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (log.f64 f))
(+ (log (/ 2 (- (* 1/4 (PI)) (* -1/4 (PI))))) (+ (* -1 (log f)) (* f (+ (* 1/2 (* 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))))))) (* 1/2 (* (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI)))))) (- (* 1/4 (PI)) (* -1/4 (PI)))))))))
(-.f64 (fma.f64 f (*.f64 f (*.f64 (fma.f64 (*.f64 #s(literal 1/192 binary64) (*.f64 #s(literal 2 binary64) (+.f64 (PI.f64) (PI.f64)))) #s(literal -2 binary64) (*.f64 #s(literal 1/16 binary64) (+.f64 (PI.f64) (PI.f64)))) (*.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) #s(literal 1/2 binary64)))) (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64)))) (log.f64 f))
(+ (log (/ 2 (- (* 1/4 (PI)) (* -1/4 (PI))))) (+ (* -1 (log f)) (* f (+ (* 1/2 (* (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI)))))) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* f (+ (* 1/6 (* f (+ (* -3/2 (* (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI)))))) (* (- (* 1/16 (/ (pow (PI) 2) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 2 (/ (- (* 1/384 (pow (PI) 3)) (* -1/384 (pow (PI) 3))) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 2)))) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 2)))) (+ (* 1/4 (* (pow (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI)))))) 3) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 3))) (* 3 (* (- (* 1/4 (PI)) (* -1/4 (PI))) (- (+ (* -1/384 (/ (pow (PI) 3) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/384 (/ (pow (PI) 3) (- (* 1/4 (PI)) (* -1/4 (PI)))))) (/ (* (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI)))))) (- (* 1/384 (pow (PI) 3)) (* -1/384 (pow (PI) 3)))) (- (* 1/4 (PI)) (* -1/4 (PI))))))))))) (* 1/2 (+ (* -1/4 (* (pow (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI)))))) 2) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 2))) (* (- (* 1/16 (/ (pow (PI) 2) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 2 (/ (- (* 1/384 (pow (PI) 3)) (* -1/384 (pow (PI) 3))) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 2)))) (- (* 1/4 (PI)) (* -1/4 (PI))))))))))))
(-.f64 (fma.f64 f (*.f64 f (*.f64 (fma.f64 (*.f64 #s(literal 1/192 binary64) (*.f64 #s(literal 2 binary64) (+.f64 (PI.f64) (PI.f64)))) #s(literal -2 binary64) (*.f64 #s(literal 1/16 binary64) (+.f64 (PI.f64) (PI.f64)))) (*.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) #s(literal 1/2 binary64)))) (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64)))) (log.f64 f))
(log (/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI))))))))
(log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))) (exp.f64 (*.f64 f (*.f64 (PI.f64) #s(literal -1/4 binary64))))) (-.f64 (exp.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))) (exp.f64 (*.f64 f (*.f64 (PI.f64) #s(literal -1/4 binary64)))))))
(log (/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI))))))))
(log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))) (exp.f64 (*.f64 f (*.f64 (PI.f64) #s(literal -1/4 binary64))))) (-.f64 (exp.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))) (exp.f64 (*.f64 f (*.f64 (PI.f64) #s(literal -1/4 binary64)))))))
(log (/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI))))))))
(log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))) (exp.f64 (*.f64 f (*.f64 (PI.f64) #s(literal -1/4 binary64))))) (-.f64 (exp.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))) (exp.f64 (*.f64 f (*.f64 (PI.f64) #s(literal -1/4 binary64)))))))
(log (/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI))))))))
(log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))) (exp.f64 (*.f64 f (*.f64 (PI.f64) #s(literal -1/4 binary64))))) (-.f64 (exp.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))) (exp.f64 (*.f64 f (*.f64 (PI.f64) #s(literal -1/4 binary64)))))))
(log (/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI))))))))
(log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))) (exp.f64 (*.f64 f (*.f64 (PI.f64) #s(literal -1/4 binary64))))) (-.f64 (exp.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))) (exp.f64 (*.f64 f (*.f64 (PI.f64) #s(literal -1/4 binary64)))))))
(log (/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI))))))))
(log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))) (exp.f64 (*.f64 f (*.f64 (PI.f64) #s(literal -1/4 binary64))))) (-.f64 (exp.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))) (exp.f64 (*.f64 f (*.f64 (PI.f64) #s(literal -1/4 binary64)))))))
(log (/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI))))))))
(log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))) (exp.f64 (*.f64 f (*.f64 (PI.f64) #s(literal -1/4 binary64))))) (-.f64 (exp.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))) (exp.f64 (*.f64 f (*.f64 (PI.f64) #s(literal -1/4 binary64)))))))
(log (/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI))))))))
(log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))) (exp.f64 (*.f64 f (*.f64 (PI.f64) #s(literal -1/4 binary64))))) (-.f64 (exp.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))) (exp.f64 (*.f64 f (*.f64 (PI.f64) #s(literal -1/4 binary64)))))))

eval96.0ms (0.5%)

Memory
-15.7MiB live, 177.6MiB allocated
Compiler

Compiled 21 540 to 2 350 computations (89.1% saved)

prune79.0ms (0.4%)

Memory
-1.5MiB live, 205.5MiB allocated
Pruning

17 alts after pruning (17 fresh and 0 done)

PrunedKeptTotal
New46417481
Fresh000
Picked101
Done000
Total46517482
Accuracy
99.4%
Counts
482 → 17
Alt Table
Click to see full alt table
StatusAccuracyProgram
96.6%
(neg.f64 (fma.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (log.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))) (*.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (neg.f64 (log.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))))))))
96.5%
(neg.f64 (/.f64 (*.f64 (-.f64 (pow.f64 (log.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))) #s(literal 3 binary64)) (pow.f64 (log.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))) #s(literal 3 binary64))) #s(literal 4 binary64)) (*.f64 (+.f64 (pow.f64 (log.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))) #s(literal 2 binary64)) (*.f64 (log.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))) (+.f64 (log.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))) (log.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))))))) (PI.f64))))
98.7%
(neg.f64 (/.f64 (*.f64 (neg.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))) (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (PI.f64))))
98.9%
(neg.f64 (/.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (*.f64 (PI.f64) #s(literal -1/4 binary64))))
98.8%
(neg.f64 (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (PI.f64) #s(literal -1/4 binary64)) (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))))))
98.9%
(neg.f64 (*.f64 (pow.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) #s(literal -1/2 binary64)) (*.f64 (pow.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) #s(literal -1/2 binary64)) (neg.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))))))
98.7%
(neg.f64 (*.f64 (/.f64 (neg.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))) (sqrt.f64 (PI.f64))) (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64)))))
96.6%
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (/.f64 (-.f64 (pow.f64 (log.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))) #s(literal 2 binary64)) (*.f64 (neg.f64 (log.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))))) (neg.f64 (log.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))))))) (-.f64 (log.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))) (neg.f64 (log.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))))))))
96.6%
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (*.f64 #s(literal 0 binary64) (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))))))))
96.8%
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))))) (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))))))
96.8%
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (-.f64 (log.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))) (log.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))))))
96.5%
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (fma.f64 f (*.f64 f (fma.f64 (*.f64 #s(literal 1/192 binary64) (*.f64 #s(literal 2 binary64) (+.f64 (PI.f64) (PI.f64)))) #s(literal -2 binary64) (*.f64 #s(literal 1/16 binary64) (+.f64 (PI.f64) (PI.f64))))) (/.f64 #s(literal 4 binary64) (PI.f64))) f))))
96.4%
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 #s(literal 0 binary64) (/.f64 #s(literal 4 binary64) (PI.f64))) f))))
96.4%
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 #s(literal 2 binary64) (*.f64 f (*.f64 (PI.f64) #s(literal 1/2 binary64)))))))
98.8%
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 #s(literal 1 binary64) (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))))))
2.4%
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (*.f64 (-.f64 (exp.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/2 binary64))) (exp.f64 (neg.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/2 binary64))))) (*.f64 (/.f64 #s(literal 1/2 binary64) (sinh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (/.f64 #s(literal 1/2 binary64) (sinh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))))))))
96.5%
(neg.f64 (*.f64 (-.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (log.f64 f)) (/.f64 #s(literal 4 binary64) (PI.f64))))
Compiler

Compiled 978 to 568 computations (41.9% saved)

simplify0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

localize241.0ms (1.4%)

Memory
26.2MiB live, 495.3MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy99.4%
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))))) (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))))
accuracy99.2%
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))))) (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))))
accuracy99.2%
(*.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))))
accuracy98.1%
(PI.f64)
accuracy99.6%
(*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)
accuracy99.6%
(*.f64 (pow.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) #s(literal -1/2 binary64)) (neg.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))))
accuracy99.4%
(log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))
accuracy98.1%
(PI.f64)
accuracy99.6%
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (PI.f64) #s(literal -1/4 binary64)) (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))))
accuracy99.5%
(/.f64 (*.f64 (PI.f64) #s(literal -1/4 binary64)) (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))))
accuracy99.4%
(log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))
accuracy98.1%
(PI.f64)
accuracy99.6%
(/.f64 #s(literal 2 binary64) (*.f64 f (*.f64 (PI.f64) #s(literal 1/2 binary64))))
accuracy99.6%
(*.f64 f (*.f64 (PI.f64) #s(literal 1/2 binary64)))
accuracy99.4%
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 #s(literal 2 binary64) (*.f64 f (*.f64 (PI.f64) #s(literal 1/2 binary64))))))
accuracy98.1%
(PI.f64)
accuracy99.6%
(*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)
accuracy99.5%
(/.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (*.f64 (PI.f64) #s(literal -1/4 binary64)))
accuracy99.4%
(log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))
accuracy98.1%
(PI.f64)
Samples
105.0ms250×0valid
25.0ms4exit
1.0ms1valid
Compiler

Compiled 434 to 40 computations (90.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 105.0ms
ival-mult: 48.0ms (45.9% of total)
ival-log: 23.0ms (22% of total)
ival-div: 11.0ms (10.5% of total)
ival-tanh: 6.0ms (5.7% of total)
ival-neg: 6.0ms (5.7% of total)
ival-pow: 5.0ms (4.8% of total)
adjust: 1.0ms (1% of total)
ival-pi: 1.0ms (1% of total)
ival-sub: 1.0ms (1% of total)
exact: 1.0ms (1% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series163.0ms (0.9%)

Memory
-12.7MiB live, 311.6MiB allocated
Counts
13 → 144
Calls
Call 1
Inputs
#<alt (PI.f64)>
#<alt (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))>
#<alt (/.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (*.f64 (PI.f64) #s(literal -1/4 binary64)))>
#<alt (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)>
#<alt (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 #s(literal 2 binary64) (*.f64 f (*.f64 (PI.f64) #s(literal 1/2 binary64))))))>
#<alt (*.f64 f (*.f64 (PI.f64) #s(literal 1/2 binary64)))>
#<alt (/.f64 #s(literal 2 binary64) (*.f64 f (*.f64 (PI.f64) #s(literal 1/2 binary64))))>
#<alt (/.f64 (*.f64 (PI.f64) #s(literal -1/4 binary64)) (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))))>
#<alt (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (PI.f64) #s(literal -1/4 binary64)) (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))))>
#<alt (*.f64 (pow.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) #s(literal -1/2 binary64)) (neg.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))))>
#<alt (*.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))))>
#<alt (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))))) (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))))>
#<alt (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))))) (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))))>
Outputs
#<alt (+ (log f) (log (* 1/4 (PI))))>
#<alt (+ (log f) (+ (log (* 1/4 (PI))) (* 2 (/ (* f (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2)))) (PI)))))>
#<alt (+ (log f) (+ (log (* 1/4 (PI))) (* f (+ (* 1/2 (* f (+ (* -4 (/ (pow (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) 2) (pow (PI) 2))) (* 8 (/ (- (* 1/2 (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (+ (* -1/128 (pow (PI) 3)) (* 1/192 (pow (PI) 3))))) (* 1/128 (pow (PI) 3))) (PI)))))) (* 2 (/ (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) (PI)))))))>
#<alt (+ (log f) (+ (log (* 1/4 (PI))) (* f (+ (* 2 (/ (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) (PI))) (* f (+ (* 1/6 (* f (+ (* -48 (/ (* (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) (- (* 1/2 (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (+ (* -1/128 (pow (PI) 3)) (* 1/192 (pow (PI) 3))))) (* 1/128 (pow (PI) 3)))) (pow (PI) 2))) (+ (* 16 (/ (pow (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) 3) (pow (PI) 3))) (* 24 (/ (- (* 1/2 (+ (* -1/4 (* (PI) (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (+ (* -1/128 (pow (PI) 3)) (* 1/384 (pow (PI) 3)))))) (+ (* -1/32 (* (pow (PI) 2) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (+ (* -1/1536 (pow (PI) 4)) (* 1/3072 (pow (PI) 4)))))) (+ (* -1/8 (* (PI) (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (* -1/128 (pow (PI) 3))))) (* 1/64 (* (pow (PI) 2) (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))))))) (PI))))))) (* 1/2 (+ (* -4 (/ (pow (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) 2) (pow (PI) 2))) (* 8 (/ (- (* 1/2 (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (+ (* -1/128 (pow (PI) 3)) (* 1/192 (pow (PI) 3))))) (* 1/128 (pow (PI) 3))) (PI)))))))))))>
#<alt (log (/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI))))))))>
#<alt (log (/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI))))))))>
#<alt (log (/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI))))))))>
#<alt (log (/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI))))))))>
#<alt (log (/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI))))))))>
#<alt (log (/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI))))))))>
#<alt (log (/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI))))))))>
#<alt (log (/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI))))))))>
#<alt (* -4 (/ (+ (log f) (log (* 1/4 (PI)))) (PI)))>
#<alt (+ (* -8 (/ (* f (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2)))) (pow (PI) 2))) (* -4 (/ (+ (log f) (log (* 1/4 (PI)))) (PI))))>
#<alt (+ (* -4 (/ (+ (log f) (log (* 1/4 (PI)))) (PI))) (* f (+ (* -8 (/ (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) (pow (PI) 2))) (* -2 (/ (* f (+ (* -4 (/ (pow (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) 2) (pow (PI) 2))) (* 8 (/ (- (* 1/2 (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (+ (* -1/128 (pow (PI) 3)) (* 1/192 (pow (PI) 3))))) (* 1/128 (pow (PI) 3))) (PI))))) (PI))))))>
#<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 (/ (+ (* -4 (/ (pow (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) 2) (pow (PI) 2))) (* 8 (/ (- (* 1/2 (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (+ (* -1/128 (pow (PI) 3)) (* 1/192 (pow (PI) 3))))) (* 1/128 (pow (PI) 3))) (PI)))) (PI))) (* -2/3 (/ (* f (+ (* -48 (/ (* (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) (- (* 1/2 (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (+ (* -1/128 (pow (PI) 3)) (* 1/192 (pow (PI) 3))))) (* 1/128 (pow (PI) 3)))) (pow (PI) 2))) (+ (* 16 (/ (pow (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) 3) (pow (PI) 3))) (* 24 (/ (- (* 1/2 (+ (* -1/4 (* (PI) (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (+ (* -1/128 (pow (PI) 3)) (* 1/384 (pow (PI) 3)))))) (+ (* -1/32 (* (pow (PI) 2) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (+ (* -1/1536 (pow (PI) 4)) (* 1/3072 (pow (PI) 4)))))) (+ (* -1/8 (* (PI) (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (* -1/128 (pow (PI) 3))))) (* 1/64 (* (pow (PI) 2) (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))))))) (PI)))))) (PI))))))))>
#<alt (* -4 (/ (log (/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))) (PI)))>
#<alt (* -4 (/ (log (/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))) (PI)))>
#<alt (* -4 (/ (log (/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))) (PI)))>
#<alt (* -4 (/ (log (/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))) (PI)))>
#<alt (* -4 (/ (log (/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))) (PI)))>
#<alt (* -4 (/ (log (/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))) (PI)))>
#<alt (* -4 (/ (log (/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))) (PI)))>
#<alt (* -4 (/ (log (/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))) (PI)))>
#<alt (* 1/4 (* f (PI)))>
#<alt (* 1/4 (* f (PI)))>
#<alt (* 1/4 (* f (PI)))>
#<alt (* 1/4 (* f (PI)))>
#<alt (* 1/4 (* f (PI)))>
#<alt (* 1/4 (* f (PI)))>
#<alt (* 1/4 (* f (PI)))>
#<alt (* 1/4 (* f (PI)))>
#<alt (* 1/4 (* f (PI)))>
#<alt (* 1/4 (* f (PI)))>
#<alt (* 1/4 (* f (PI)))>
#<alt (* 1/4 (* f (PI)))>
#<alt (* 4 (/ (+ (log (/ 4 (PI))) (* -1 (log f))) (PI)))>
#<alt (* 4 (/ (+ (log (/ 4 (PI))) (* -1 (log f))) (PI)))>
#<alt (* 4 (/ (+ (log (/ 4 (PI))) (* -1 (log f))) (PI)))>
#<alt (* 4 (/ (+ (log (/ 4 (PI))) (* -1 (log f))) (PI)))>
#<alt (* 4 (/ (+ (log (/ 1 f)) (log (/ 4 (PI)))) (PI)))>
#<alt (* 4 (/ (+ (log (/ 1 f)) (log (/ 4 (PI)))) (PI)))>
#<alt (* 4 (/ (+ (log (/ 1 f)) (log (/ 4 (PI)))) (PI)))>
#<alt (* 4 (/ (+ (log (/ 1 f)) (log (/ 4 (PI)))) (PI)))>
#<alt (* 4 (/ (+ (log (/ -4 (PI))) (log (/ -1 f))) (PI)))>
#<alt (* 4 (/ (+ (log (/ -4 (PI))) (log (/ -1 f))) (PI)))>
#<alt (* 4 (/ (+ (log (/ -4 (PI))) (log (/ -1 f))) (PI)))>
#<alt (* 4 (/ (+ (log (/ -4 (PI))) (log (/ -1 f))) (PI)))>
#<alt (* 1/2 (* f (PI)))>
#<alt (* 1/2 (* f (PI)))>
#<alt (* 1/2 (* f (PI)))>
#<alt (* 1/2 (* f (PI)))>
#<alt (* 1/2 (* f (PI)))>
#<alt (* 1/2 (* f (PI)))>
#<alt (* 1/2 (* f (PI)))>
#<alt (* 1/2 (* f (PI)))>
#<alt (* 1/2 (* f (PI)))>
#<alt (* 1/2 (* f (PI)))>
#<alt (* 1/2 (* f (PI)))>
#<alt (* 1/2 (* f (PI)))>
#<alt (/ 4 (* f (PI)))>
#<alt (/ 4 (* f (PI)))>
#<alt (/ 4 (* f (PI)))>
#<alt (/ 4 (* f (PI)))>
#<alt (/ 4 (* f (PI)))>
#<alt (/ 4 (* f (PI)))>
#<alt (/ 4 (* f (PI)))>
#<alt (/ 4 (* f (PI)))>
#<alt (/ 4 (* f (PI)))>
#<alt (/ 4 (* f (PI)))>
#<alt (/ 4 (* f (PI)))>
#<alt (/ 4 (* f (PI)))>
#<alt (* -1/4 (/ (PI) (+ (log f) (log (* 1/4 (PI))))))>
#<alt (+ (* -1/4 (/ (PI) (+ (log f) (log (* 1/4 (PI)))))) (* 1/2 (/ (* f (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2)))) (pow (+ (log f) (log (* 1/4 (PI)))) 2))))>
#<alt (+ (* -1/4 (/ (PI) (+ (log f) (log (* 1/4 (PI)))))) (* f (+ (* 1/4 (* 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)))))) (* 1/2 (/ (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) (pow (+ (log f) (log (* 1/4 (PI)))) 2))))))>
#<alt (+ (* -1/4 (/ (PI) (+ (log f) (log (* 1/4 (PI)))))) (* f (+ (* 1/2 (/ (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) (pow (+ (log f) (log (* 1/4 (PI)))) 2))) (* f (+ (* 1/4 (* 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))))))) (* 1/4 (+ (* -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))))))))))>
#<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))))))))))>
#<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))))))))))>
#<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))))))))))>
#<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))))))))))>
#<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))))))))))>
#<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))))))))))>
#<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))))))))))>
#<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))))))))))>
#<alt (* -4 (/ (+ (log f) (log (* 1/4 (PI)))) (PI)))>
#<alt (+ (* -8 (/ (* f (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2)))) (pow (PI) 2))) (* -4 (/ (+ (log f) (log (* 1/4 (PI)))) (PI))))>
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#<alt (* -4 (/ (log (/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))) (PI)))>
#<alt (* -4 (/ (log (/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))) (PI)))>
#<alt (* -4 (/ (log (/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))) (PI)))>
Calls

36 calls:

TimeVariablePointExpression
62.0ms
f
@-inf
(log (tanh (* (* (PI) 1/4) f)))
26.0ms
f
@inf
(log (tanh (* (* (PI) 1/4) f)))
21.0ms
f
@-inf
(* (/ 1 (/ (PI) 4)) (log (/ 2 (* f (* (PI) 1/2)))))
16.0ms
f
@0
(* (/ 1 (/ (PI) 4)) (log (/ 2 (* f (* (PI) 1/2)))))
10.0ms
f
@inf
(* (/ 1 (/ (PI) 4)) (log (/ 2 (* f (* (PI) 1/2)))))

rewrite332.0ms (1.9%)

Memory
27.3MiB live, 570.6MiB allocated
Algorithm
batch-egg-rewrite
Rules
5 120×lower-*.f32
5 102×lower-*.f64
3 006×lower-/.f32
2 992×lower-/.f64
2 238×lower-fma.f64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
032159
055124
1203121
21335110
08693110
Stop Event
iter limit
node limit
iter limit
Counts
13 → 1 319
Calls
Call 1
Inputs
(PI.f64)
(log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))
(/.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (*.f64 (PI.f64) #s(literal -1/4 binary64)))
(*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 #s(literal 2 binary64) (*.f64 f (*.f64 (PI.f64) #s(literal 1/2 binary64))))))
(*.f64 f (*.f64 (PI.f64) #s(literal 1/2 binary64)))
(/.f64 #s(literal 2 binary64) (*.f64 f (*.f64 (PI.f64) #s(literal 1/2 binary64))))
(/.f64 (*.f64 (PI.f64) #s(literal -1/4 binary64)) (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (PI.f64) #s(literal -1/4 binary64)) (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))))
(*.f64 (pow.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) #s(literal -1/2 binary64)) (neg.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))))
(*.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))))) (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))))) (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))))
Outputs
(PI.f64)
(log.f64 (exp.f64 (PI.f64)))
(log.f64 (/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 (PI.f64)))))
(exp.f64 (log.f64 (PI.f64)))
(exp.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) (log.f64 (PI.f64))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (PI.f64))) #s(literal 2 binary64)))
(fabs.f64 (PI.f64))
(-.f64 #s(literal 0 binary64) (neg.f64 (PI.f64)))
(sqrt.f64 (*.f64 (PI.f64) (PI.f64)))
(cbrt.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))))
(neg.f64 (neg.f64 (PI.f64)))
(/.f64 (PI.f64) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (PI.f64)))
(/.f64 (neg.f64 (PI.f64)) #s(literal -1 binary64))
(pow.f64 (PI.f64) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (PI.f64)) #s(literal 3 binary64))
(pow.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/2 binary64))
(pow.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64))
(pow.f64 (E.f64) (log.f64 (PI.f64)))
(*.f64 (PI.f64) #s(literal 1 binary64))
(*.f64 (PI.f64) (log.f64 (E.f64)))
(*.f64 #s(literal 1 binary64) (PI.f64))
(*.f64 #s(literal -1 binary64) (neg.f64 (PI.f64)))
(*.f64 (cbrt.f64 (PI.f64)) (pow.f64 (PI.f64) #s(literal 2/3 binary64)))
(*.f64 (cbrt.f64 (PI.f64)) (log.f64 (exp.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)))))
(*.f64 (cbrt.f64 (PI.f64)) (sqrt.f64 (pow.f64 (PI.f64) #s(literal 4/3 binary64))))
(*.f64 (cbrt.f64 (PI.f64)) (*.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) #s(literal 1 binary64)))
(*.f64 (cbrt.f64 (PI.f64)) (*.f64 (pow.f64 (PI.f64) #s(literal 1/6 binary64)) (sqrt.f64 (PI.f64))))
(*.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (cbrt.f64 (PI.f64)))
(*.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (pow.f64 (pow.f64 (PI.f64) #s(literal 1/6 binary64)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (neg.f64 (neg.f64 (cbrt.f64 (PI.f64)))))
(*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)))
(*.f64 (sqrt.f64 (PI.f64)) (log.f64 (exp.f64 (sqrt.f64 (PI.f64)))))
(*.f64 (sqrt.f64 (PI.f64)) (neg.f64 (neg.f64 (sqrt.f64 (PI.f64)))))
(*.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64))) (*.f64 (cbrt.f64 (cbrt.f64 (PI.f64))) (pow.f64 (PI.f64) #s(literal 2/3 binary64))))
(*.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) (*.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) (pow.f64 (PI.f64) #s(literal 2/3 binary64))))
(*.f64 (sqrt.f64 (sqrt.f64 (PI.f64))) (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))))
(*.f64 (sqrt.f64 (sqrt.f64 (PI.f64))) (*.f64 (sqrt.f64 (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64))))
(*.f64 (neg.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64))) (neg.f64 (cbrt.f64 (PI.f64))))
(*.f64 (neg.f64 (sqrt.f64 (PI.f64))) (neg.f64 (sqrt.f64 (PI.f64))))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64))) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (cbrt.f64 (PI.f64))) #s(literal 3 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) #s(literal 3 binary64)))
(*.f64 (pow.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64))) #s(literal 1/3 binary64)) (pow.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64))) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (pow.f64 (PI.f64) #s(literal 2/3 binary64)))) #s(literal 1/3 binary64)) (cbrt.f64 (cbrt.f64 (PI.f64))))
(*.f64 (pow.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) #s(literal 1/3 binary64)) (cbrt.f64 (sqrt.f64 (PI.f64))))
(*.f64 (exp.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/3 binary64) (log.f64 (PI.f64))))) (exp.f64 (*.f64 #s(literal 1/3 binary64) (log.f64 (PI.f64)))))
(*.f64 (exp.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (PI.f64)))) (exp.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (PI.f64)))))
(*.f64 (cbrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (cbrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))))
(*.f64 (cbrt.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (pow.f64 (PI.f64) #s(literal 2/3 binary64))))) (cbrt.f64 (cbrt.f64 (PI.f64))))
(*.f64 (cbrt.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (sqrt.f64 (PI.f64))))) (cbrt.f64 (sqrt.f64 (PI.f64))))
(*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64))))
(*.f64 (sqrt.f64 (pow.f64 (PI.f64) #s(literal 4/3 binary64))) (cbrt.f64 (PI.f64)))
(*.f64 (sqrt.f64 (*.f64 (PI.f64) (pow.f64 (PI.f64) #s(literal 2/3 binary64)))) (pow.f64 (PI.f64) #s(literal 1/6 binary64)))
(*.f64 (*.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) (cbrt.f64 (PI.f64))) (*.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) (cbrt.f64 (PI.f64))))
(*.f64 (*.f64 (cbrt.f64 (PI.f64)) (cbrt.f64 (sqrt.f64 (PI.f64)))) (*.f64 (cbrt.f64 (PI.f64)) (cbrt.f64 (sqrt.f64 (PI.f64)))))
(*.f64 (neg.f64 (neg.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)))) (cbrt.f64 (PI.f64)))
(*.f64 (neg.f64 (neg.f64 (sqrt.f64 (PI.f64)))) (sqrt.f64 (PI.f64)))
(log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))))
(+.f64 #s(literal 0 binary64) (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))))
(+.f64 (log.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))))) (log.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))))))
(+.f64 (log.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))))) (neg.f64 (log.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))))))
(+.f64 (log.f64 (expm1.f64 (*.f64 (PI.f64) (*.f64 f #s(literal 1/2 binary64))))) (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (PI.f64) (*.f64 f #s(literal 1/2 binary64))))))))
(+.f64 (log.f64 (expm1.f64 (*.f64 (PI.f64) (*.f64 f #s(literal 1/2 binary64))))) (neg.f64 (log1p.f64 (exp.f64 (*.f64 (PI.f64) (*.f64 f #s(literal 1/2 binary64)))))))
(+.f64 (log1p.f64 (neg.f64 (exp.f64 (*.f64 f (*.f64 (PI.f64) #s(literal -1/2 binary64)))))) (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 f (*.f64 (PI.f64) #s(literal -1/2 binary64))))))))
(+.f64 (log1p.f64 (neg.f64 (exp.f64 (*.f64 f (*.f64 (PI.f64) #s(literal -1/2 binary64)))))) (neg.f64 (log1p.f64 (exp.f64 (*.f64 f (*.f64 (PI.f64) #s(literal -1/2 binary64)))))))
(exp.f64 (*.f64 (log.f64 (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))))) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (neg.f64 (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))))))
(-.f64 (log.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))))) (log.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))))))
(-.f64 (log.f64 (expm1.f64 (*.f64 (PI.f64) (*.f64 f #s(literal 1/2 binary64))))) (log1p.f64 (exp.f64 (*.f64 (PI.f64) (*.f64 f #s(literal 1/2 binary64))))))
(-.f64 (log1p.f64 (neg.f64 (exp.f64 (*.f64 f (*.f64 (PI.f64) #s(literal -1/2 binary64)))))) (log1p.f64 (exp.f64 (*.f64 f (*.f64 (PI.f64) #s(literal -1/2 binary64))))))
(-.f64 (log.f64 (*.f64 #s(literal -2 binary64) (sinh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))))) (log.f64 (*.f64 #s(literal -2 binary64) (cosh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))))))
(-.f64 (log.f64 (neg.f64 (expm1.f64 (*.f64 (PI.f64) (*.f64 f #s(literal 1/2 binary64)))))) (log.f64 (+.f64 #s(literal -1 binary64) (neg.f64 (exp.f64 (*.f64 (PI.f64) (*.f64 f #s(literal 1/2 binary64))))))))
(-.f64 (log.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 f (*.f64 (PI.f64) #s(literal -1/2 binary64))))))) (log.f64 (+.f64 #s(literal -1 binary64) (neg.f64 (exp.f64 (*.f64 f (*.f64 (PI.f64) #s(literal -1/2 binary64))))))))
(-.f64 (/.f64 (log.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))))) #s(literal 1 binary64)) (/.f64 (log.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))))) #s(literal 1 binary64)))
(-.f64 (/.f64 (log.f64 (expm1.f64 (*.f64 (PI.f64) (*.f64 f #s(literal 1/2 binary64))))) #s(literal 1 binary64)) (/.f64 (log1p.f64 (exp.f64 (*.f64 (PI.f64) (*.f64 f #s(literal 1/2 binary64))))) #s(literal 1 binary64)))
(-.f64 (/.f64 (log1p.f64 (neg.f64 (exp.f64 (*.f64 f (*.f64 (PI.f64) #s(literal -1/2 binary64)))))) #s(literal 1 binary64)) (/.f64 (log1p.f64 (exp.f64 (*.f64 f (*.f64 (PI.f64) #s(literal -1/2 binary64))))) #s(literal 1 binary64)))
(-.f64 (+.f64 #s(literal 0 binary64) (log.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))))) (log.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))))))
(-.f64 (+.f64 #s(literal 0 binary64) (log.f64 (expm1.f64 (*.f64 (PI.f64) (*.f64 f #s(literal 1/2 binary64)))))) (log1p.f64 (exp.f64 (*.f64 (PI.f64) (*.f64 f #s(literal 1/2 binary64))))))
(-.f64 (+.f64 #s(literal 0 binary64) (log1p.f64 (neg.f64 (exp.f64 (*.f64 f (*.f64 (PI.f64) #s(literal -1/2 binary64))))))) (log1p.f64 (exp.f64 (*.f64 f (*.f64 (PI.f64) #s(literal -1/2 binary64))))))
(neg.f64 (neg.f64 (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))))))
(/.f64 (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))))))
(/.f64 (neg.f64 (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))))) #s(literal -1 binary64))
(/.f64 (pow.f64 (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))) #s(literal 2 binary64)) (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))))
(/.f64 (neg.f64 (pow.f64 (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))) #s(literal 2 binary64))) (neg.f64 (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))))))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))))))
(/.f64 (pow.f64 (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))) #s(literal 6 binary64)) (pow.f64 (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))) #s(literal 5 binary64)))
(/.f64 (neg.f64 (pow.f64 (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))) #s(literal 6 binary64))) (neg.f64 (pow.f64 (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))) #s(literal 5 binary64))))
(/.f64 (pow.f64 (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))) #s(literal 4 binary64)) (pow.f64 (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))) #s(literal 3 binary64)))
(/.f64 (neg.f64 (pow.f64 (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))) #s(literal 4 binary64))) (neg.f64 (pow.f64 (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))) #s(literal 3 binary64))))
(/.f64 (pow.f64 (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))) #s(literal 3 binary64)) (pow.f64 (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))) #s(literal 2 binary64)))
(/.f64 (neg.f64 (pow.f64 (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))) #s(literal 3 binary64))) (neg.f64 (pow.f64 (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))) #s(literal 2 binary64))))
(/.f64 (/.f64 (neg.f64 (pow.f64 (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))) #s(literal 6 binary64))) (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))))) (neg.f64 (pow.f64 (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))) #s(literal 4 binary64))))
(/.f64 (neg.f64 (/.f64 (neg.f64 (pow.f64 (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))) #s(literal 6 binary64))) (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))))) (pow.f64 (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))) #s(literal 4 binary64)))
(/.f64 (neg.f64 (neg.f64 (pow.f64 (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))) #s(literal 3 binary64)))) (pow.f64 (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))) #s(literal 2 binary64)))
(/.f64 (/.f64 (neg.f64 (pow.f64 (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))) #s(literal 4 binary64))) (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))))) (neg.f64 (pow.f64 (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))) #s(literal 2 binary64))))
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simplify377.0ms (2.1%)

Memory
-24.7MiB live, 660.8MiB allocated
Algorithm
egg-herbie
Rules
8 414×lower-fma.f64
8 414×lower-fma.f32
4 232×lower-+.f64
4 232×lower-+.f32
2 860×lower-*.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02785287
19294438
242043618
088183507
Stop Event
iter limit
node limit
Counts
144 → 144
Calls
Call 1
Inputs
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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)))
(/.f64 (*.f64 #s(literal -4 binary64) (log.f64 (/.f64 (-.f64 (exp.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 f (PI.f64)))) (exp.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 f (PI.f64))))) (+.f64 (exp.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 f (PI.f64)))) (exp.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 f (PI.f64)))))))) (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 #s(literal -4 binary64) (log.f64 (/.f64 (-.f64 (exp.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 f (PI.f64)))) (exp.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 f (PI.f64))))) (+.f64 (exp.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 f (PI.f64)))) (exp.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 f (PI.f64)))))))) (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 #s(literal -4 binary64) (log.f64 (/.f64 (-.f64 (exp.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 f (PI.f64)))) (exp.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 f (PI.f64))))) (+.f64 (exp.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 f (PI.f64)))) (exp.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 f (PI.f64)))))))) (PI.f64))

eval465.0ms (2.6%)

Memory
39.8MiB live, 963.5MiB allocated
Compiler

Compiled 85 669 to 9 858 computations (88.5% saved)

prune291.0ms (1.6%)

Memory
1.8MiB live, 655.7MiB allocated
Pruning

16 alts after pruning (15 fresh and 1 done)

PrunedKeptTotal
New3 009123 021
Fresh9312
Picked415
Done000
Total3 022163 038
Accuracy
100.0%
Counts
3 038 → 16
Alt Table
Click to see full alt table
StatusAccuracyProgram
96.1%
(neg.f64 (fma.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (log.f64 #s(literal 2 binary64)) (*.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (neg.f64 (log.f64 (*.f64 (PI.f64) (*.f64 f #s(literal 1/2 binary64))))))))
98.7%
(neg.f64 (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (/.f64 #s(literal -1 binary64) (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))))))
7.4%
(neg.f64 (/.f64 (-.f64 (log1p.f64 (neg.f64 (exp.f64 (*.f64 f (*.f64 (PI.f64) #s(literal -1/2 binary64)))))) (log1p.f64 (exp.f64 (*.f64 f (*.f64 (PI.f64) #s(literal -1/2 binary64)))))) (*.f64 (PI.f64) #s(literal -1/4 binary64))))
96.5%
(neg.f64 (/.f64 (log.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))) (*.f64 (PI.f64) #s(literal -1/4 binary64))))
98.9%
(neg.f64 (/.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (*.f64 (PI.f64) #s(literal -1/4 binary64))))
96.4%
(neg.f64 (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (PI.f64) #s(literal -1/4 binary64)) (log.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))))))
96.4%
(neg.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/4 binary64) (/.f64 (log.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))) (neg.f64 (PI.f64))))))
96.5%
(neg.f64 (*.f64 (pow.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) #s(literal -1/2 binary64)) (*.f64 (pow.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) #s(literal -1/2 binary64)) (neg.f64 (log.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))))))
96.3%
(neg.f64 (*.f64 (/.f64 (neg.f64 (log.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))) (sqrt.f64 (PI.f64))) (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64)))))
96.0%
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64)))) #s(literal 4 binary64))) (log.f64 (/.f64 #s(literal 2 binary64) (*.f64 f (*.f64 (PI.f64) #s(literal 1/2 binary64)))))))
96.5%
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (fma.f64 f (*.f64 f (fma.f64 (*.f64 #s(literal 1/192 binary64) (*.f64 #s(literal 2 binary64) (+.f64 (PI.f64) (PI.f64)))) #s(literal -2 binary64) (*.f64 #s(literal 1/16 binary64) (+.f64 (PI.f64) (PI.f64))))) (/.f64 #s(literal 4 binary64) (PI.f64))) f))))
96.4%
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 #s(literal 0 binary64) (/.f64 #s(literal 4 binary64) (PI.f64))) f))))
96.4%
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 f (sqrt.f64 (PI.f64))) (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)))))))
96.4%
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 #s(literal 2 binary64) (*.f64 f (*.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))) #s(literal 1/2 binary64)))))))
98.8%
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 #s(literal 1 binary64) (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))))))
96.4%
(neg.f64 (*.f64 (log.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))) (/.f64 #s(literal -4 binary64) (PI.f64))))
Compiler

Compiled 565 to 433 computations (23.4% saved)

simplify0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

localize173.0ms (1%)

Memory
-5.8MiB live, 227.9MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy99.6%
(*.f64 f (*.f64 (PI.f64) #s(literal 1/2 binary64)))
accuracy99.3%
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64)))) #s(literal 4 binary64))) (log.f64 (/.f64 #s(literal 2 binary64) (*.f64 f (*.f64 (PI.f64) #s(literal 1/2 binary64))))))
accuracy98.4%
(*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64))))
accuracy98.4%
(sqrt.f64 (PI.f64))
accuracy99.6%
(*.f64 f (*.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))) #s(literal 1/2 binary64)))
accuracy99.3%
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 #s(literal 2 binary64) (*.f64 f (*.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))) #s(literal 1/2 binary64))))))
accuracy98.4%
(*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)))
accuracy98.4%
(sqrt.f64 (PI.f64))
accuracy99.6%
(*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))
accuracy99.6%
(/.f64 #s(literal 1/4 binary64) (/.f64 (log.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))) (neg.f64 (PI.f64))))
accuracy99.6%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/4 binary64) (/.f64 (log.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))) (neg.f64 (PI.f64)))))
accuracy99.5%
(/.f64 (log.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))) (neg.f64 (PI.f64)))
accuracy100.0%
(PI.f64)
accuracy100.0%
(log.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))
accuracy99.6%
(*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))
accuracy99.3%
(*.f64 (log.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))) (/.f64 #s(literal -4 binary64) (PI.f64)))
accuracy99.6%
(/.f64 #s(literal 1 binary64) (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))
accuracy99.6%
(*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)
accuracy99.4%
(log.f64 (/.f64 #s(literal 1 binary64) (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))))
accuracy99.4%
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 #s(literal 1 binary64) (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))))
Samples
91.0ms250×0valid
6.0ms2valid
1.0ms1valid
Compiler

Compiled 404 to 50 computations (87.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 74.0ms
ival-mult: 26.0ms (35.2% of total)
ival-div: 19.0ms (25.8% of total)
ival-log: 13.0ms (17.6% of total)
ival-neg: 6.0ms (8.1% of total)
ival-sqrt: 5.0ms (6.8% of total)
ival-tanh: 3.0ms (4.1% of total)
ival-pi: 1.0ms (1.4% of total)
exact: 1.0ms (1.4% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series169.0ms (1%)

Memory
23.6MiB live, 215.8MiB allocated
Counts
18 → 168
Calls
Call 1
Inputs
#<alt (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 #s(literal 1 binary64) (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))))>
#<alt (log.f64 (/.f64 #s(literal 1 binary64) (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))))>
#<alt (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)>
#<alt (/.f64 #s(literal 1 binary64) (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))>
#<alt (*.f64 (log.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))) (/.f64 #s(literal -4 binary64) (PI.f64)))>
#<alt (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))>
#<alt (log.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))>
#<alt (PI.f64)>
#<alt (/.f64 (log.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))) (neg.f64 (PI.f64)))>
#<alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/4 binary64) (/.f64 (log.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))) (neg.f64 (PI.f64)))))>
#<alt (/.f64 #s(literal 1/4 binary64) (/.f64 (log.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))) (neg.f64 (PI.f64))))>
#<alt (sqrt.f64 (PI.f64))>
#<alt (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)))>
#<alt (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 #s(literal 2 binary64) (*.f64 f (*.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))) #s(literal 1/2 binary64))))))>
#<alt (*.f64 f (*.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))) #s(literal 1/2 binary64)))>
#<alt (*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64))))>
#<alt (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64)))) #s(literal 4 binary64))) (log.f64 (/.f64 #s(literal 2 binary64) (*.f64 f (*.f64 (PI.f64) #s(literal 1/2 binary64))))))>
#<alt (*.f64 f (*.f64 (PI.f64) #s(literal 1/2 binary64)))>
Outputs
#<alt (* 4 (/ (+ (log (/ 4 (PI))) (* -1 (log f))) (PI)))>
#<alt (+ (* -8 (/ (* f (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2)))) (pow (PI) 2))) (* 4 (/ (+ (log (/ 4 (PI))) (* -1 (log f))) (PI))))>
#<alt (+ (* 4 (/ (+ (log (/ 4 (PI))) (* -1 (log f))) (PI))) (* f (+ (* -8 (/ (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) (pow (PI) 2))) (* 2 (/ (* f (+ (* -4 (/ (pow (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) 2) (pow (PI) 2))) (* -1/2 (* (PI) (+ (* -16 (/ (pow (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) 2) (pow (PI) 3))) (* 16 (/ (- (* 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)))))))) (PI))))))>
#<alt (+ (* 4 (/ (+ (log (/ 4 (PI))) (* -1 (log f))) (PI))) (* f (+ (* -8 (/ (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) (pow (PI) 2))) (* f (+ (* 2/3 (/ (* f (+ (* -16 (/ (pow (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) 3) (pow (PI) 3))) (+ (* -3 (* (+ (* -16 (/ (pow (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) 2) (pow (PI) 3))) (* 16 (/ (- (* 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)))) (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))))) (* -3/2 (* (PI) (+ (* -32 (/ (* (+ (* -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) 3))) (+ (* -2 (/ (* (+ (* -16 (/ (pow (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) 2) (pow (PI) 3))) (* 16 (/ (- (* 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)))) (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2)))) (PI))) (* 16 (/ (- (* 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))))))) (pow (PI) 2)))))))))) (PI))) (* 2 (/ (+ (* -4 (/ (pow (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) 2) (pow (PI) 2))) (* -1/2 (* (PI) (+ (* -16 (/ (pow (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) 2) (pow (PI) 3))) (* 16 (/ (- (* 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))))))) (PI))))))))>
#<alt (* 4 (/ (log (/ (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))) (PI)))>
#<alt (* 4 (/ (log (/ (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))) (PI)))>
#<alt (* 4 (/ (log (/ (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))) (PI)))>
#<alt (* 4 (/ (log (/ (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))) (PI)))>
#<alt (* 4 (/ (log (/ (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))) (PI)))>
#<alt (* 4 (/ (log (/ (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))) (PI)))>
#<alt (* 4 (/ (log (/ (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))) (PI)))>
#<alt (* 4 (/ (log (/ (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))) (PI)))>
#<alt (+ (log (/ 4 (PI))) (* -1 (log f)))>
#<alt (+ (log (/ 4 (PI))) (+ (* -2 (/ (* f (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2)))) (PI))) (* -1 (log f))))>
#<alt (+ (log (/ 4 (PI))) (+ (* -1 (log f)) (* f (+ (* -2 (/ (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) (PI))) (* 1/2 (* f (+ (* -4 (/ (pow (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) 2) (pow (PI) 2))) (* -1/2 (* (PI) (+ (* -16 (/ (pow (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) 2) (pow (PI) 3))) (* 16 (/ (- (* 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)))))))))))))>
#<alt (+ (log (/ 4 (PI))) (+ (* -1 (log f)) (* f (+ (* -2 (/ (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) (PI))) (* f (+ (* 1/6 (* f (+ (* -16 (/ (pow (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) 3) (pow (PI) 3))) (+ (* -3 (* (+ (* -16 (/ (pow (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) 2) (pow (PI) 3))) (* 16 (/ (- (* 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)))) (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))))) (* -3/2 (* (PI) (+ (* -32 (/ (* (+ (* -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) 3))) (+ (* -2 (/ (* (+ (* -16 (/ (pow (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) 2) (pow (PI) 3))) (* 16 (/ (- (* 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)))) (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2)))) (PI))) (* 16 (/ (- (* 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))))))) (pow (PI) 2))))))))))) (* 1/2 (+ (* -4 (/ (pow (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) 2) (pow (PI) 2))) (* -1/2 (* (PI) (+ (* -16 (/ (pow (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) 2) (pow (PI) 3))) (* 16 (/ (- (* 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))))))))))))))>
#<alt (log (/ (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI))))))))>
#<alt (log (/ (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI))))))))>
#<alt (log (/ (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI))))))))>
#<alt (log (/ (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI))))))))>
#<alt (log (/ (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI))))))))>
#<alt (log (/ (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI))))))))>
#<alt (log (/ (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI))))))))>
#<alt (log (/ (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI))))))))>
#<alt (* 1/4 (* f (PI)))>
#<alt (* 1/4 (* f (PI)))>
#<alt (* 1/4 (* f (PI)))>
#<alt (* 1/4 (* f (PI)))>
#<alt (* 1/4 (* f (PI)))>
#<alt (* 1/4 (* f (PI)))>
#<alt (* 1/4 (* f (PI)))>
#<alt (* 1/4 (* f (PI)))>
#<alt (* 1/4 (* f (PI)))>
#<alt (* 1/4 (* f (PI)))>
#<alt (* 1/4 (* f (PI)))>
#<alt (* 1/4 (* f (PI)))>
#<alt (/ 4 (* f (PI)))>
#<alt (/ (+ (* -8 (/ (* f (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2)))) (pow (PI) 2))) (* 4 (/ 1 (PI)))) f)>
#<alt (/ (+ (* f (- (* -1 (* f (+ (* -16 (/ (pow (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) 2) (pow (PI) 3))) (* 16 (/ (- (* 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)))))) (* 8 (/ (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) (pow (PI) 2))))) (* 4 (/ 1 (PI)))) f)>
#<alt (/ (+ (* f (- (* f (- (* -1 (* f (+ (* -32 (/ (* (+ (* -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) 3))) (+ (* -2 (/ (* (+ (* -16 (/ (pow (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) 2) (pow (PI) 3))) (* 16 (/ (- (* 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)))) (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2)))) (PI))) (* 16 (/ (- (* 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))))))) (pow (PI) 2))))))) (+ (* -16 (/ (pow (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) 2) (pow (PI) 3))) (* 16 (/ (- (* 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)))))) (* 8 (/ (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) (pow (PI) 2))))) (* 4 (/ 1 (PI)))) f)>
#<alt (/ (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))>
#<alt (/ (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))>
#<alt (/ (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))>
#<alt (/ (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))>
#<alt (/ (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))>
#<alt (/ (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))>
#<alt (/ (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))>
#<alt (/ (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))>
#<alt (* -4 (/ (+ (log f) (log (* 1/4 (PI)))) (PI)))>
#<alt (* -4 (/ (+ (log f) (log (* 1/4 (PI)))) (PI)))>
#<alt (* -4 (/ (+ (log f) (log (* 1/4 (PI)))) (PI)))>
#<alt (* -4 (/ (+ (log f) (log (* 1/4 (PI)))) (PI)))>
#<alt (* -4 (/ (+ (log (* 1/4 (PI))) (* -1 (log (/ 1 f)))) (PI)))>
#<alt (* -4 (/ (+ (log (* 1/4 (PI))) (* -1 (log (/ 1 f)))) (PI)))>
#<alt (* -4 (/ (+ (log (* 1/4 (PI))) (* -1 (log (/ 1 f)))) (PI)))>
#<alt (* -4 (/ (+ (log (* 1/4 (PI))) (* -1 (log (/ 1 f)))) (PI)))>
#<alt (* -4 (/ (+ (log (* -1/4 (PI))) (* -1 (log (/ -1 f)))) (PI)))>
#<alt (* -4 (/ (+ (log (* -1/4 (PI))) (* -1 (log (/ -1 f)))) (PI)))>
#<alt (* -4 (/ (+ (log (* -1/4 (PI))) (* -1 (log (/ -1 f)))) (PI)))>
#<alt (* -4 (/ (+ (log (* -1/4 (PI))) (* -1 (log (/ -1 f)))) (PI)))>
#<alt (* 1/4 (* f (PI)))>
#<alt (* 1/4 (* f (PI)))>
#<alt (* 1/4 (* f (PI)))>
#<alt (* 1/4 (* f (PI)))>
#<alt (* 1/4 (* f (PI)))>
#<alt (* 1/4 (* f (PI)))>
#<alt (* 1/4 (* f (PI)))>
#<alt (* 1/4 (* f (PI)))>
#<alt (* 1/4 (* f (PI)))>
#<alt (* 1/4 (* f (PI)))>
#<alt (* 1/4 (* f (PI)))>
#<alt (* 1/4 (* f (PI)))>
#<alt (+ (log f) (log (* 1/4 (PI))))>
#<alt (+ (log f) (log (* 1/4 (PI))))>
#<alt (+ (log f) (log (* 1/4 (PI))))>
#<alt (+ (log f) (log (* 1/4 (PI))))>
#<alt (+ (log (* 1/4 (PI))) (* -1 (log (/ 1 f))))>
#<alt (+ (log (* 1/4 (PI))) (* -1 (log (/ 1 f))))>
#<alt (+ (log (* 1/4 (PI))) (* -1 (log (/ 1 f))))>
#<alt (+ (log (* 1/4 (PI))) (* -1 (log (/ 1 f))))>
#<alt (+ (log (* -1/4 (PI))) (* -1 (log (/ -1 f))))>
#<alt (+ (log (* -1/4 (PI))) (* -1 (log (/ -1 f))))>
#<alt (+ (log (* -1/4 (PI))) (* -1 (log (/ -1 f))))>
#<alt (+ (log (* -1/4 (PI))) (* -1 (log (/ -1 f))))>
#<alt (* -1 (/ (+ (log f) (log (* 1/4 (PI)))) (PI)))>
#<alt (* -1 (/ (+ (log f) (log (* 1/4 (PI)))) (PI)))>
#<alt (* -1 (/ (+ (log f) (log (* 1/4 (PI)))) (PI)))>
#<alt (* -1 (/ (+ (log f) (log (* 1/4 (PI)))) (PI)))>
#<alt (* -1 (/ (+ (log (* 1/4 (PI))) (* -1 (log (/ 1 f)))) (PI)))>
#<alt (* -1 (/ (+ (log (* 1/4 (PI))) (* -1 (log (/ 1 f)))) (PI)))>
#<alt (* -1 (/ (+ (log (* 1/4 (PI))) (* -1 (log (/ 1 f)))) (PI)))>
#<alt (* -1 (/ (+ (log (* 1/4 (PI))) (* -1 (log (/ 1 f)))) (PI)))>
#<alt (* -1 (/ (+ (log (* -1/4 (PI))) (* -1 (log (/ -1 f)))) (PI)))>
#<alt (* -1 (/ (+ (log (* -1/4 (PI))) (* -1 (log (/ -1 f)))) (PI)))>
#<alt (* -1 (/ (+ (log (* -1/4 (PI))) (* -1 (log (/ -1 f)))) (PI)))>
#<alt (* -1 (/ (+ (log (* -1/4 (PI))) (* -1 (log (/ -1 f)))) (PI)))>
#<alt (* -4 (/ (+ (log f) (log (* 1/4 (PI)))) (PI)))>
#<alt (* -4 (/ (+ (log f) (log (* 1/4 (PI)))) (PI)))>
#<alt (* -4 (/ (+ (log f) (log (* 1/4 (PI)))) (PI)))>
#<alt (* -4 (/ (+ (log f) (log (* 1/4 (PI)))) (PI)))>
#<alt (* -4 (/ (+ (log (* 1/4 (PI))) (* -1 (log (/ 1 f)))) (PI)))>
#<alt (* -4 (/ (+ (log (* 1/4 (PI))) (* -1 (log (/ 1 f)))) (PI)))>
#<alt (* -4 (/ (+ (log (* 1/4 (PI))) (* -1 (log (/ 1 f)))) (PI)))>
#<alt (* -4 (/ (+ (log (* 1/4 (PI))) (* -1 (log (/ 1 f)))) (PI)))>
#<alt (* -4 (/ (+ (log (* -1/4 (PI))) (* -1 (log (/ -1 f)))) (PI)))>
#<alt (* -4 (/ (+ (log (* -1/4 (PI))) (* -1 (log (/ -1 f)))) (PI)))>
#<alt (* -4 (/ (+ (log (* -1/4 (PI))) (* -1 (log (/ -1 f)))) (PI)))>
#<alt (* -4 (/ (+ (log (* -1/4 (PI))) (* -1 (log (/ -1 f)))) (PI)))>
#<alt (* -1/4 (/ (PI) (+ (log f) (log (* 1/4 (PI))))))>
#<alt (* -1/4 (/ (PI) (+ (log f) (log (* 1/4 (PI))))))>
#<alt (* -1/4 (/ (PI) (+ (log f) (log (* 1/4 (PI))))))>
#<alt (* -1/4 (/ (PI) (+ (log f) (log (* 1/4 (PI))))))>
#<alt (* -1/4 (/ (PI) (+ (log (* 1/4 (PI))) (* -1 (log (/ 1 f))))))>
#<alt (* -1/4 (/ (PI) (+ (log (* 1/4 (PI))) (* -1 (log (/ 1 f))))))>
#<alt (* -1/4 (/ (PI) (+ (log (* 1/4 (PI))) (* -1 (log (/ 1 f))))))>
#<alt (* -1/4 (/ (PI) (+ (log (* 1/4 (PI))) (* -1 (log (/ 1 f))))))>
#<alt (* -1/4 (/ (PI) (+ (log (* -1/4 (PI))) (* -1 (log (/ -1 f))))))>
#<alt (* -1/4 (/ (PI) (+ (log (* -1/4 (PI))) (* -1 (log (/ -1 f))))))>
#<alt (* -1/4 (/ (PI) (+ (log (* -1/4 (PI))) (* -1 (log (/ -1 f))))))>
#<alt (* -1/4 (/ (PI) (+ (log (* -1/4 (PI))) (* -1 (log (/ -1 f))))))>
#<alt (* 4 (/ (+ (log (/ 4 (PI))) (* -1 (log f))) (PI)))>
#<alt (* 4 (/ (+ (log (/ 4 (PI))) (* -1 (log f))) (PI)))>
#<alt (* 4 (/ (+ (log (/ 4 (PI))) (* -1 (log f))) (PI)))>
#<alt (* 4 (/ (+ (log (/ 4 (PI))) (* -1 (log f))) (PI)))>
#<alt (* 4 (/ (+ (log (/ 1 f)) (log (/ 4 (PI)))) (PI)))>
#<alt (* 4 (/ (+ (log (/ 1 f)) (log (/ 4 (PI)))) (PI)))>
#<alt (* 4 (/ (+ (log (/ 1 f)) (log (/ 4 (PI)))) (PI)))>
#<alt (* 4 (/ (+ (log (/ 1 f)) (log (/ 4 (PI)))) (PI)))>
#<alt (* 4 (/ (+ (log (/ -4 (PI))) (log (/ -1 f))) (PI)))>
#<alt (* 4 (/ (+ (log (/ -4 (PI))) (log (/ -1 f))) (PI)))>
#<alt (* 4 (/ (+ (log (/ -4 (PI))) (log (/ -1 f))) (PI)))>
#<alt (* 4 (/ (+ (log (/ -4 (PI))) (log (/ -1 f))) (PI)))>
#<alt (* 1/2 (* f (PI)))>
#<alt (* 1/2 (* f (PI)))>
#<alt (* 1/2 (* f (PI)))>
#<alt (* 1/2 (* f (PI)))>
#<alt (* 1/2 (* f (PI)))>
#<alt (* 1/2 (* f (PI)))>
#<alt (* 1/2 (* f (PI)))>
#<alt (* 1/2 (* f (PI)))>
#<alt (* 1/2 (* f (PI)))>
#<alt (* 1/2 (* f (PI)))>
#<alt (* 1/2 (* f (PI)))>
#<alt (* 1/2 (* f (PI)))>
#<alt (* 4 (/ (+ (log (/ 4 (PI))) (* -1 (log f))) (PI)))>
#<alt (* 4 (/ (+ (log (/ 4 (PI))) (* -1 (log f))) (PI)))>
#<alt (* 4 (/ (+ (log (/ 4 (PI))) (* -1 (log f))) (PI)))>
#<alt (* 4 (/ (+ (log (/ 4 (PI))) (* -1 (log f))) (PI)))>
#<alt (* 4 (/ (+ (log (/ 1 f)) (log (/ 4 (PI)))) (PI)))>
#<alt (* 4 (/ (+ (log (/ 1 f)) (log (/ 4 (PI)))) (PI)))>
#<alt (* 4 (/ (+ (log (/ 1 f)) (log (/ 4 (PI)))) (PI)))>
#<alt (* 4 (/ (+ (log (/ 1 f)) (log (/ 4 (PI)))) (PI)))>
#<alt (* 4 (/ (+ (log (/ -4 (PI))) (log (/ -1 f))) (PI)))>
#<alt (* 4 (/ (+ (log (/ -4 (PI))) (log (/ -1 f))) (PI)))>
#<alt (* 4 (/ (+ (log (/ -4 (PI))) (log (/ -1 f))) (PI)))>
#<alt (* 4 (/ (+ (log (/ -4 (PI))) (log (/ -1 f))) (PI)))>
#<alt (* 1/2 (* f (PI)))>
#<alt (* 1/2 (* f (PI)))>
#<alt (* 1/2 (* f (PI)))>
#<alt (* 1/2 (* f (PI)))>
#<alt (* 1/2 (* f (PI)))>
#<alt (* 1/2 (* f (PI)))>
#<alt (* 1/2 (* f (PI)))>
#<alt (* 1/2 (* f (PI)))>
#<alt (* 1/2 (* f (PI)))>
#<alt (* 1/2 (* f (PI)))>
#<alt (* 1/2 (* f (PI)))>
#<alt (* 1/2 (* f (PI)))>
Calls

42 calls:

TimeVariablePointExpression
76.0ms
f
@0
(* (log (* (PI) (* 1/4 f))) (/ -4 (PI)))
29.0ms
f
@-inf
(* (/ 1 (/ (PI) 4)) (log (/ 1 (tanh (* (* (PI) 1/4) f)))))
28.0ms
f
@inf
(* (/ 1 (/ (PI) 4)) (log (/ 1 (tanh (* (* (PI) 1/4) f)))))
16.0ms
f
@-inf
(* (log (* (PI) (* 1/4 f))) (/ -4 (PI)))
6.0ms
f
@inf
(* (log (* (PI) (* 1/4 f))) (/ -4 (PI)))

rewrite392.0ms (2.2%)

Memory
-13.6MiB live, 494.5MiB allocated
Algorithm
batch-egg-rewrite
Rules
5 480×lower-*.f32
5 456×lower-*.f64
3 272×lower-/.f32
3 256×lower-/.f64
2 214×lower-fma.f64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
043162
079121
1248118
21251117
08483117
Stop Event
iter limit
node limit
iter limit
Counts
18 → 2 238
Calls
Call 1
Inputs
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 #s(literal 1 binary64) (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))))
(log.f64 (/.f64 #s(literal 1 binary64) (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))))
(*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)
(/.f64 #s(literal 1 binary64) (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))
(*.f64 (log.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))) (/.f64 #s(literal -4 binary64) (PI.f64)))
(*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))
(log.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))
(PI.f64)
(/.f64 (log.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))) (neg.f64 (PI.f64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/4 binary64) (/.f64 (log.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))) (neg.f64 (PI.f64)))))
(/.f64 #s(literal 1/4 binary64) (/.f64 (log.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))) (neg.f64 (PI.f64))))
(sqrt.f64 (PI.f64))
(*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 #s(literal 2 binary64) (*.f64 f (*.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))) #s(literal 1/2 binary64))))))
(*.f64 f (*.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64))))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64)))) #s(literal 4 binary64))) (log.f64 (/.f64 #s(literal 2 binary64) (*.f64 f (*.f64 (PI.f64) #s(literal 1/2 binary64))))))
(*.f64 f (*.f64 (PI.f64) #s(literal 1/2 binary64)))
Outputs
(+.f64 (*.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) #s(literal 0 binary64)) (/.f64 (log.f64 (tanh.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f)))) (*.f64 (PI.f64) #s(literal -1/4 binary64))))
(+.f64 (*.f64 #s(literal 0 binary64) (/.f64 #s(literal 4 binary64) (PI.f64))) (/.f64 (log.f64 (tanh.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f)))) (*.f64 (PI.f64) #s(literal -1/4 binary64))))
(-.f64 #s(literal 0 binary64) (/.f64 (log.f64 (tanh.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f)))) (*.f64 (PI.f64) #s(literal 1/4 binary64))))
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 (PI.f64) #s(literal 1/4 binary64))) (/.f64 (log.f64 (tanh.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f)))) (*.f64 (PI.f64) #s(literal 1/4 binary64))))
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(*.f64 (sqrt.f64 (sqrt.f64 (PI.f64))) (*.f64 (sqrt.f64 (sqrt.f64 (PI.f64))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (PI.f64)) f))))
(*.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) f)
(*.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (neg.f64 (neg.f64 f)))
(*.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (*.f64 f #s(literal 1/2 binary64)) #s(literal 2 binary64)))
(*.f64 (*.f64 (PI.f64) (*.f64 f #s(literal 1/2 binary64))) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (*.f64 (*.f64 (PI.f64) f) #s(literal -1/2 binary64)))
(*.f64 (cbrt.f64 (PI.f64)) (*.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (*.f64 #s(literal 1/2 binary64) f)))
(*.f64 (cbrt.f64 (PI.f64)) (*.f64 (pow.f64 (PI.f64) #s(literal 1/6 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (PI.f64)) f))))
(*.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (*.f64 (*.f64 (cbrt.f64 (PI.f64)) (*.f64 #s(literal 1/4 binary64) f)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (*.f64 (cbrt.f64 (PI.f64)) (*.f64 #s(literal 1/2 binary64) f)))
(*.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (*.f64 (*.f64 (cbrt.f64 (PI.f64)) #s(literal 1/2 binary64)) f))
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(*.f64 (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (*.f64 (sqrt.f64 (PI.f64)) f))
(*.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) (neg.f64 f))
(*.f64 (neg.f64 f) (*.f64 (PI.f64) #s(literal -1/2 binary64)))
(*.f64 (*.f64 f #s(literal 1/2 binary64)) (PI.f64))
(*.f64 (neg.f64 (*.f64 (PI.f64) f)) #s(literal -1/2 binary64))
(*.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (PI.f64) #s(literal 2/3 binary64))) (*.f64 (cbrt.f64 (PI.f64)) f))
(*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 f (sqrt.f64 (PI.f64)))) (*.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)))
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(*.f64 (*.f64 f (sqrt.f64 (PI.f64))) (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)))
(*.f64 (*.f64 f (pow.f64 (PI.f64) #s(literal 2/3 binary64))) (*.f64 (cbrt.f64 (PI.f64)) #s(literal 1/2 binary64)))
(*.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) (*.f64 #s(literal 1/4 binary64) f))
(*.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) #s(literal 1/4 binary64))) f)
(*.f64 (*.f64 #s(literal 2 binary64) f) (*.f64 (PI.f64) #s(literal 1/4 binary64)))
(*.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/4 binary64) f)) (PI.f64))
(*.f64 (neg.f64 (neg.f64 f)) (*.f64 (PI.f64) #s(literal 1/2 binary64)))

simplify320.0ms (1.8%)

Memory
6.4MiB live, 505.0MiB allocated
Algorithm
egg-herbie
Rules
6 560×lower-fma.f64
6 560×lower-fma.f32
3 634×lower-*.f64
3 634×lower-*.f32
3 620×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02153166
16272734
225062319
087442280
Stop Event
iter limit
node limit
Counts
168 → 168
Calls
Call 1
Inputs
(* 4 (/ (+ (log (/ 4 (PI))) (* -1 (log f))) (PI)))
(+ (* -8 (/ (* f (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2)))) (pow (PI) 2))) (* 4 (/ (+ (log (/ 4 (PI))) (* -1 (log f))) (PI))))
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(* -1/4 (/ (PI) (+ (log (* 1/4 (PI))) (* -1 (log (/ 1 f))))))
(* -1/4 (/ (PI) (+ (log (* 1/4 (PI))) (* -1 (log (/ 1 f))))))
(* -1/4 (/ (PI) (+ (log (* -1/4 (PI))) (* -1 (log (/ -1 f))))))
(* -1/4 (/ (PI) (+ (log (* -1/4 (PI))) (* -1 (log (/ -1 f))))))
(* -1/4 (/ (PI) (+ (log (* -1/4 (PI))) (* -1 (log (/ -1 f))))))
(* -1/4 (/ (PI) (+ (log (* -1/4 (PI))) (* -1 (log (/ -1 f))))))
(* 4 (/ (+ (log (/ 4 (PI))) (* -1 (log f))) (PI)))
(* 4 (/ (+ (log (/ 4 (PI))) (* -1 (log f))) (PI)))
(* 4 (/ (+ (log (/ 4 (PI))) (* -1 (log f))) (PI)))
(* 4 (/ (+ (log (/ 4 (PI))) (* -1 (log f))) (PI)))
(* 4 (/ (+ (log (/ 1 f)) (log (/ 4 (PI)))) (PI)))
(* 4 (/ (+ (log (/ 1 f)) (log (/ 4 (PI)))) (PI)))
(* 4 (/ (+ (log (/ 1 f)) (log (/ 4 (PI)))) (PI)))
(* 4 (/ (+ (log (/ 1 f)) (log (/ 4 (PI)))) (PI)))
(* 4 (/ (+ (log (/ -4 (PI))) (log (/ -1 f))) (PI)))
(* 4 (/ (+ (log (/ -4 (PI))) (log (/ -1 f))) (PI)))
(* 4 (/ (+ (log (/ -4 (PI))) (log (/ -1 f))) (PI)))
(* 4 (/ (+ (log (/ -4 (PI))) (log (/ -1 f))) (PI)))
(* 1/2 (* f (PI)))
(* 1/2 (* f (PI)))
(* 1/2 (* f (PI)))
(* 1/2 (* f (PI)))
(* 1/2 (* f (PI)))
(* 1/2 (* f (PI)))
(* 1/2 (* f (PI)))
(* 1/2 (* f (PI)))
(* 1/2 (* f (PI)))
(* 1/2 (* f (PI)))
(* 1/2 (* f (PI)))
(* 1/2 (* f (PI)))
(* 4 (/ (+ (log (/ 4 (PI))) (* -1 (log f))) (PI)))
(* 4 (/ (+ (log (/ 4 (PI))) (* -1 (log f))) (PI)))
(* 4 (/ (+ (log (/ 4 (PI))) (* -1 (log f))) (PI)))
(* 4 (/ (+ (log (/ 4 (PI))) (* -1 (log f))) (PI)))
(* 4 (/ (+ (log (/ 1 f)) (log (/ 4 (PI)))) (PI)))
(* 4 (/ (+ (log (/ 1 f)) (log (/ 4 (PI)))) (PI)))
(* 4 (/ (+ (log (/ 1 f)) (log (/ 4 (PI)))) (PI)))
(* 4 (/ (+ (log (/ 1 f)) (log (/ 4 (PI)))) (PI)))
(* 4 (/ (+ (log (/ -4 (PI))) (log (/ -1 f))) (PI)))
(* 4 (/ (+ (log (/ -4 (PI))) (log (/ -1 f))) (PI)))
(* 4 (/ (+ (log (/ -4 (PI))) (log (/ -1 f))) (PI)))
(* 4 (/ (+ (log (/ -4 (PI))) (log (/ -1 f))) (PI)))
(* 1/2 (* f (PI)))
(* 1/2 (* f (PI)))
(* 1/2 (* f (PI)))
(* 1/2 (* f (PI)))
(* 1/2 (* f (PI)))
(* 1/2 (* f (PI)))
(* 1/2 (* f (PI)))
(* 1/2 (* f (PI)))
(* 1/2 (* f (PI)))
(* 1/2 (* f (PI)))
(* 1/2 (* f (PI)))
(* 1/2 (* f (PI)))
Outputs
(* 4 (/ (+ (log (/ 4 (PI))) (* -1 (log 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)))
(*.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (PI.f64) (*.f64 f #s(literal 1/4 binary64)))) (exp.f64 (*.f64 (PI.f64) (*.f64 f #s(literal -1/4 binary64))))) (-.f64 (exp.f64 (*.f64 (PI.f64) (*.f64 f #s(literal 1/4 binary64)))) (exp.f64 (*.f64 (PI.f64) (*.f64 f #s(literal -1/4 binary64))))))) (/.f64 #s(literal 4 binary64) (PI.f64)))
(* 4 (/ (log (/ (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))) (PI)))
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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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(*.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (PI.f64) (*.f64 f #s(literal 1/4 binary64)))) (exp.f64 (*.f64 (PI.f64) (*.f64 f #s(literal -1/4 binary64))))) (-.f64 (exp.f64 (*.f64 (PI.f64) (*.f64 f #s(literal 1/4 binary64)))) (exp.f64 (*.f64 (PI.f64) (*.f64 f #s(literal -1/4 binary64))))))) (/.f64 #s(literal 4 binary64) (PI.f64)))
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(-.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (log.f64 f))
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(* -1 (/ (+ (log (* -1/4 (PI))) (* -1 (log (/ -1 f)))) (PI)))
(/.f64 (-.f64 (log.f64 (*.f64 (PI.f64) #s(literal -1/4 binary64))) (log.f64 (/.f64 #s(literal -1 binary64) f))) (neg.f64 (PI.f64)))
(* -4 (/ (+ (log f) (log (* 1/4 (PI)))) (PI)))
(*.f64 (+.f64 (log.f64 f) (log.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)))) (/.f64 #s(literal -4 binary64) (PI.f64)))
(* -4 (/ (+ (log f) (log (* 1/4 (PI)))) (PI)))
(*.f64 (+.f64 (log.f64 f) (log.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)))) (/.f64 #s(literal -4 binary64) (PI.f64)))
(* -4 (/ (+ (log f) (log (* 1/4 (PI)))) (PI)))
(*.f64 (+.f64 (log.f64 f) (log.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)))) (/.f64 #s(literal -4 binary64) (PI.f64)))
(* -4 (/ (+ (log f) (log (* 1/4 (PI)))) (PI)))
(*.f64 (+.f64 (log.f64 f) (log.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)))) (/.f64 #s(literal -4 binary64) (PI.f64)))
(* -4 (/ (+ (log (* 1/4 (PI))) (* -1 (log (/ 1 f)))) (PI)))
(*.f64 (+.f64 (log.f64 f) (log.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)))) (/.f64 #s(literal -4 binary64) (PI.f64)))
(* -4 (/ (+ (log (* 1/4 (PI))) (* -1 (log (/ 1 f)))) (PI)))
(*.f64 (+.f64 (log.f64 f) (log.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)))) (/.f64 #s(literal -4 binary64) (PI.f64)))
(* -4 (/ (+ (log (* 1/4 (PI))) (* -1 (log (/ 1 f)))) (PI)))
(*.f64 (+.f64 (log.f64 f) (log.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)))) (/.f64 #s(literal -4 binary64) (PI.f64)))
(* -4 (/ (+ (log (* 1/4 (PI))) (* -1 (log (/ 1 f)))) (PI)))
(*.f64 (+.f64 (log.f64 f) (log.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)))) (/.f64 #s(literal -4 binary64) (PI.f64)))
(* -4 (/ (+ (log (* -1/4 (PI))) (* -1 (log (/ -1 f)))) (PI)))
(*.f64 (-.f64 (log.f64 (*.f64 (PI.f64) #s(literal -1/4 binary64))) (log.f64 (/.f64 #s(literal -1 binary64) f))) (/.f64 #s(literal -4 binary64) (PI.f64)))
(* -4 (/ (+ (log (* -1/4 (PI))) (* -1 (log (/ -1 f)))) (PI)))
(*.f64 (-.f64 (log.f64 (*.f64 (PI.f64) #s(literal -1/4 binary64))) (log.f64 (/.f64 #s(literal -1 binary64) f))) (/.f64 #s(literal -4 binary64) (PI.f64)))
(* -4 (/ (+ (log (* -1/4 (PI))) (* -1 (log (/ -1 f)))) (PI)))
(*.f64 (-.f64 (log.f64 (*.f64 (PI.f64) #s(literal -1/4 binary64))) (log.f64 (/.f64 #s(literal -1 binary64) f))) (/.f64 #s(literal -4 binary64) (PI.f64)))
(* -4 (/ (+ (log (* -1/4 (PI))) (* -1 (log (/ -1 f)))) (PI)))
(*.f64 (-.f64 (log.f64 (*.f64 (PI.f64) #s(literal -1/4 binary64))) (log.f64 (/.f64 #s(literal -1 binary64) f))) (/.f64 #s(literal -4 binary64) (PI.f64)))
(* -1/4 (/ (PI) (+ (log f) (log (* 1/4 (PI))))))
(/.f64 (*.f64 (PI.f64) #s(literal -1/4 binary64)) (+.f64 (log.f64 f) (log.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)))))
(* -1/4 (/ (PI) (+ (log f) (log (* 1/4 (PI))))))
(/.f64 (*.f64 (PI.f64) #s(literal -1/4 binary64)) (+.f64 (log.f64 f) (log.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)))))
(* -1/4 (/ (PI) (+ (log f) (log (* 1/4 (PI))))))
(/.f64 (*.f64 (PI.f64) #s(literal -1/4 binary64)) (+.f64 (log.f64 f) (log.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)))))
(* -1/4 (/ (PI) (+ (log f) (log (* 1/4 (PI))))))
(/.f64 (*.f64 (PI.f64) #s(literal -1/4 binary64)) (+.f64 (log.f64 f) (log.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)))))
(* -1/4 (/ (PI) (+ (log (* 1/4 (PI))) (* -1 (log (/ 1 f))))))
(/.f64 (*.f64 (PI.f64) #s(literal -1/4 binary64)) (+.f64 (log.f64 f) (log.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)))))
(* -1/4 (/ (PI) (+ (log (* 1/4 (PI))) (* -1 (log (/ 1 f))))))
(/.f64 (*.f64 (PI.f64) #s(literal -1/4 binary64)) (+.f64 (log.f64 f) (log.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)))))
(* -1/4 (/ (PI) (+ (log (* 1/4 (PI))) (* -1 (log (/ 1 f))))))
(/.f64 (*.f64 (PI.f64) #s(literal -1/4 binary64)) (+.f64 (log.f64 f) (log.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)))))
(* -1/4 (/ (PI) (+ (log (* 1/4 (PI))) (* -1 (log (/ 1 f))))))
(/.f64 (*.f64 (PI.f64) #s(literal -1/4 binary64)) (+.f64 (log.f64 f) (log.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)))))
(* -1/4 (/ (PI) (+ (log (* -1/4 (PI))) (* -1 (log (/ -1 f))))))
(/.f64 (*.f64 (PI.f64) #s(literal -1/4 binary64)) (-.f64 (log.f64 (*.f64 (PI.f64) #s(literal -1/4 binary64))) (log.f64 (/.f64 #s(literal -1 binary64) f))))
(* -1/4 (/ (PI) (+ (log (* -1/4 (PI))) (* -1 (log (/ -1 f))))))
(/.f64 (*.f64 (PI.f64) #s(literal -1/4 binary64)) (-.f64 (log.f64 (*.f64 (PI.f64) #s(literal -1/4 binary64))) (log.f64 (/.f64 #s(literal -1 binary64) f))))
(* -1/4 (/ (PI) (+ (log (* -1/4 (PI))) (* -1 (log (/ -1 f))))))
(/.f64 (*.f64 (PI.f64) #s(literal -1/4 binary64)) (-.f64 (log.f64 (*.f64 (PI.f64) #s(literal -1/4 binary64))) (log.f64 (/.f64 #s(literal -1 binary64) f))))
(* -1/4 (/ (PI) (+ (log (* -1/4 (PI))) (* -1 (log (/ -1 f))))))
(/.f64 (*.f64 (PI.f64) #s(literal -1/4 binary64)) (-.f64 (log.f64 (*.f64 (PI.f64) #s(literal -1/4 binary64))) (log.f64 (/.f64 #s(literal -1 binary64) f))))
(* 4 (/ (+ (log (/ 4 (PI))) (* -1 (log f))) (PI)))
(*.f64 (-.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (log.f64 f)) (/.f64 #s(literal 4 binary64) (PI.f64)))
(* 4 (/ (+ (log (/ 4 (PI))) (* -1 (log f))) (PI)))
(*.f64 (-.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (log.f64 f)) (/.f64 #s(literal 4 binary64) (PI.f64)))
(* 4 (/ (+ (log (/ 4 (PI))) (* -1 (log f))) (PI)))
(*.f64 (-.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (log.f64 f)) (/.f64 #s(literal 4 binary64) (PI.f64)))
(* 4 (/ (+ (log (/ 4 (PI))) (* -1 (log f))) (PI)))
(*.f64 (-.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (log.f64 f)) (/.f64 #s(literal 4 binary64) (PI.f64)))
(* 4 (/ (+ (log (/ 1 f)) (log (/ 4 (PI)))) (PI)))
(*.f64 (-.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (log.f64 f)) (/.f64 #s(literal 4 binary64) (PI.f64)))
(* 4 (/ (+ (log (/ 1 f)) (log (/ 4 (PI)))) (PI)))
(*.f64 (-.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (log.f64 f)) (/.f64 #s(literal 4 binary64) (PI.f64)))
(* 4 (/ (+ (log (/ 1 f)) (log (/ 4 (PI)))) (PI)))
(*.f64 (-.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (log.f64 f)) (/.f64 #s(literal 4 binary64) (PI.f64)))
(* 4 (/ (+ (log (/ 1 f)) (log (/ 4 (PI)))) (PI)))
(*.f64 (-.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (log.f64 f)) (/.f64 #s(literal 4 binary64) (PI.f64)))
(* 4 (/ (+ (log (/ -4 (PI))) (log (/ -1 f))) (PI)))
(*.f64 (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) f)) (log.f64 (/.f64 #s(literal -4 binary64) (PI.f64)))) (/.f64 #s(literal 4 binary64) (PI.f64)))
(* 4 (/ (+ (log (/ -4 (PI))) (log (/ -1 f))) (PI)))
(*.f64 (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) f)) (log.f64 (/.f64 #s(literal -4 binary64) (PI.f64)))) (/.f64 #s(literal 4 binary64) (PI.f64)))
(* 4 (/ (+ (log (/ -4 (PI))) (log (/ -1 f))) (PI)))
(*.f64 (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) f)) (log.f64 (/.f64 #s(literal -4 binary64) (PI.f64)))) (/.f64 #s(literal 4 binary64) (PI.f64)))
(* 4 (/ (+ (log (/ -4 (PI))) (log (/ -1 f))) (PI)))
(*.f64 (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) f)) (log.f64 (/.f64 #s(literal -4 binary64) (PI.f64)))) (/.f64 #s(literal 4 binary64) (PI.f64)))
(* 1/2 (* f (PI)))
(*.f64 (PI.f64) (*.f64 f #s(literal 1/2 binary64)))
(* 1/2 (* f (PI)))
(*.f64 (PI.f64) (*.f64 f #s(literal 1/2 binary64)))
(* 1/2 (* f (PI)))
(*.f64 (PI.f64) (*.f64 f #s(literal 1/2 binary64)))
(* 1/2 (* f (PI)))
(*.f64 (PI.f64) (*.f64 f #s(literal 1/2 binary64)))
(* 1/2 (* f (PI)))
(*.f64 (PI.f64) (*.f64 f #s(literal 1/2 binary64)))
(* 1/2 (* f (PI)))
(*.f64 (PI.f64) (*.f64 f #s(literal 1/2 binary64)))
(* 1/2 (* f (PI)))
(*.f64 (PI.f64) (*.f64 f #s(literal 1/2 binary64)))
(* 1/2 (* f (PI)))
(*.f64 (PI.f64) (*.f64 f #s(literal 1/2 binary64)))
(* 1/2 (* f (PI)))
(*.f64 (PI.f64) (*.f64 f #s(literal 1/2 binary64)))
(* 1/2 (* f (PI)))
(*.f64 (PI.f64) (*.f64 f #s(literal 1/2 binary64)))
(* 1/2 (* f (PI)))
(*.f64 (PI.f64) (*.f64 f #s(literal 1/2 binary64)))
(* 1/2 (* f (PI)))
(*.f64 (PI.f64) (*.f64 f #s(literal 1/2 binary64)))
(* 4 (/ (+ (log (/ 4 (PI))) (* -1 (log f))) (PI)))
(*.f64 (-.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (log.f64 f)) (/.f64 #s(literal 4 binary64) (PI.f64)))
(* 4 (/ (+ (log (/ 4 (PI))) (* -1 (log f))) (PI)))
(*.f64 (-.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (log.f64 f)) (/.f64 #s(literal 4 binary64) (PI.f64)))
(* 4 (/ (+ (log (/ 4 (PI))) (* -1 (log f))) (PI)))
(*.f64 (-.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (log.f64 f)) (/.f64 #s(literal 4 binary64) (PI.f64)))
(* 4 (/ (+ (log (/ 4 (PI))) (* -1 (log f))) (PI)))
(*.f64 (-.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (log.f64 f)) (/.f64 #s(literal 4 binary64) (PI.f64)))
(* 4 (/ (+ (log (/ 1 f)) (log (/ 4 (PI)))) (PI)))
(*.f64 (-.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (log.f64 f)) (/.f64 #s(literal 4 binary64) (PI.f64)))
(* 4 (/ (+ (log (/ 1 f)) (log (/ 4 (PI)))) (PI)))
(*.f64 (-.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (log.f64 f)) (/.f64 #s(literal 4 binary64) (PI.f64)))
(* 4 (/ (+ (log (/ 1 f)) (log (/ 4 (PI)))) (PI)))
(*.f64 (-.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (log.f64 f)) (/.f64 #s(literal 4 binary64) (PI.f64)))
(* 4 (/ (+ (log (/ 1 f)) (log (/ 4 (PI)))) (PI)))
(*.f64 (-.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (log.f64 f)) (/.f64 #s(literal 4 binary64) (PI.f64)))
(* 4 (/ (+ (log (/ -4 (PI))) (log (/ -1 f))) (PI)))
(*.f64 (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) f)) (log.f64 (/.f64 #s(literal -4 binary64) (PI.f64)))) (/.f64 #s(literal 4 binary64) (PI.f64)))
(* 4 (/ (+ (log (/ -4 (PI))) (log (/ -1 f))) (PI)))
(*.f64 (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) f)) (log.f64 (/.f64 #s(literal -4 binary64) (PI.f64)))) (/.f64 #s(literal 4 binary64) (PI.f64)))
(* 4 (/ (+ (log (/ -4 (PI))) (log (/ -1 f))) (PI)))
(*.f64 (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) f)) (log.f64 (/.f64 #s(literal -4 binary64) (PI.f64)))) (/.f64 #s(literal 4 binary64) (PI.f64)))
(* 4 (/ (+ (log (/ -4 (PI))) (log (/ -1 f))) (PI)))
(*.f64 (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) f)) (log.f64 (/.f64 #s(literal -4 binary64) (PI.f64)))) (/.f64 #s(literal 4 binary64) (PI.f64)))
(* 1/2 (* f (PI)))
(*.f64 (PI.f64) (*.f64 f #s(literal 1/2 binary64)))
(* 1/2 (* f (PI)))
(*.f64 (PI.f64) (*.f64 f #s(literal 1/2 binary64)))
(* 1/2 (* f (PI)))
(*.f64 (PI.f64) (*.f64 f #s(literal 1/2 binary64)))
(* 1/2 (* f (PI)))
(*.f64 (PI.f64) (*.f64 f #s(literal 1/2 binary64)))
(* 1/2 (* f (PI)))
(*.f64 (PI.f64) (*.f64 f #s(literal 1/2 binary64)))
(* 1/2 (* f (PI)))
(*.f64 (PI.f64) (*.f64 f #s(literal 1/2 binary64)))
(* 1/2 (* f (PI)))
(*.f64 (PI.f64) (*.f64 f #s(literal 1/2 binary64)))
(* 1/2 (* f (PI)))
(*.f64 (PI.f64) (*.f64 f #s(literal 1/2 binary64)))
(* 1/2 (* f (PI)))
(*.f64 (PI.f64) (*.f64 f #s(literal 1/2 binary64)))
(* 1/2 (* f (PI)))
(*.f64 (PI.f64) (*.f64 f #s(literal 1/2 binary64)))
(* 1/2 (* f (PI)))
(*.f64 (PI.f64) (*.f64 f #s(literal 1/2 binary64)))
(* 1/2 (* f (PI)))
(*.f64 (PI.f64) (*.f64 f #s(literal 1/2 binary64)))

eval1.0s (5.8%)

Memory
-56.3MiB live, 1 138.0MiB allocated
Compiler

Compiled 87 874 to 13 368 computations (84.8% saved)

prune620.0ms (3.5%)

Memory
19.0MiB live, 701.5MiB allocated
Pruning

22 alts after pruning (18 fresh and 4 done)

PrunedKeptTotal
New3 832153 847
Fresh7310
Picked235
Done011
Total3 841223 863
Accuracy
100.0%
Counts
3 863 → 22
Alt Table
Click to see full alt table
StatusAccuracyProgram
7.4%
(neg.f64 (/.f64 (-.f64 (log1p.f64 (neg.f64 (exp.f64 (*.f64 f (*.f64 (PI.f64) #s(literal -1/2 binary64)))))) (log1p.f64 (exp.f64 (*.f64 f (*.f64 (PI.f64) #s(literal -1/2 binary64)))))) (*.f64 (PI.f64) #s(literal -1/4 binary64))))
95.5%
(neg.f64 (/.f64 (*.f64 (/.f64 (log.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f))) (sqrt.f64 (PI.f64))) #s(literal -4 binary64)) (sqrt.f64 (PI.f64))))
96.3%
(neg.f64 (/.f64 (*.f64 (log.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f))) (/.f64 #s(literal -4 binary64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (PI.f64))))
96.5%
(neg.f64 (/.f64 (*.f64 (log.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f))) #s(literal -4 binary64)) (PI.f64)))
98.9%
(neg.f64 (/.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (*.f64 (PI.f64) #s(literal -1/4 binary64))))
96.2%
(neg.f64 (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 #s(literal 1/4 binary64) (log.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f)))) (neg.f64 (*.f64 (PI.f64) (PI.f64)))) (PI.f64))))
96.4%
(neg.f64 (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (neg.f64 (*.f64 (PI.f64) (PI.f64))) #s(literal 1/4 binary64)) (*.f64 (PI.f64) (log.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f)))))))
96.4%
(neg.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/4 binary64) (/.f64 (log.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f))) (PI.f64)))))
96.3%
(neg.f64 (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -1/4 binary64) (log.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f)))) (PI.f64))))
96.4%
(neg.f64 (/.f64 #s(literal -4 binary64) (/.f64 (PI.f64) (log.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f))))))
96.2%
(neg.f64 (*.f64 (/.f64 (log.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f))) (sqrt.f64 (sqrt.f64 (PI.f64)))) (/.f64 #s(literal -4 binary64) (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))))))
98.4%
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64)))) #s(literal 4 binary64))) (log.f64 (/.f64 #s(literal 1 binary64) (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))))))
96.5%
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (fma.f64 f (*.f64 f (fma.f64 (*.f64 #s(literal 1/192 binary64) (*.f64 #s(literal 2 binary64) (+.f64 (PI.f64) (PI.f64)))) #s(literal -2 binary64) (*.f64 #s(literal 1/16 binary64) (+.f64 (PI.f64) (PI.f64))))) (/.f64 #s(literal 4 binary64) (PI.f64))) f))))
96.5%
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (fma.f64 f (*.f64 f (/.f64 (*.f64 #s(literal -16 binary64) (fma.f64 (*.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal -1/32 binary64))) #s(literal -1/8 binary64) (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal -7/768 binary64)))) (*.f64 (PI.f64) (PI.f64)))) (/.f64 #s(literal 4 binary64) (PI.f64))) f))))
96.4%
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 #s(literal 0 binary64) (/.f64 #s(literal 4 binary64) (PI.f64))) f))))
96.4%
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 #s(literal 2 binary64) (*.f64 f (*.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))) #s(literal 1/2 binary64)))))))
98.8%
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 #s(literal 1 binary64) (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))))))
96.5%
(neg.f64 (*.f64 (*.f64 (log.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f))) (/.f64 #s(literal -4 binary64) (sqrt.f64 (PI.f64)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64)))))
96.4%
(neg.f64 (*.f64 (log.f64 (*.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))) (*.f64 #s(literal 1/4 binary64) f))) (/.f64 #s(literal -4 binary64) (PI.f64))))
96.4%
(neg.f64 (*.f64 (log.f64 (*.f64 (*.f64 f (sqrt.f64 (PI.f64))) (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/4 binary64)))) (/.f64 #s(literal -4 binary64) (PI.f64))))
96.0%
(neg.f64 (*.f64 (log.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))) (/.f64 #s(literal -4 binary64) (*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64)))))))
96.4%
(neg.f64 (*.f64 (log.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))) (/.f64 #s(literal -4 binary64) (PI.f64))))
Compiler

Compiled 756 to 565 computations (25.3% saved)

simplify0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

localize288.0ms (1.6%)

Memory
-23.6MiB live, 103.4MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy99.6%
(*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))
accuracy99.3%
(*.f64 (log.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))) (/.f64 #s(literal -4 binary64) (*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64))))))
accuracy98.4%
(*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64))))
accuracy98.4%
(sqrt.f64 (PI.f64))
accuracy99.6%
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 #s(literal 1/4 binary64) (log.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f)))) (neg.f64 (*.f64 (PI.f64) (PI.f64)))) (PI.f64)))
accuracy99.6%
(/.f64 #s(literal 1/4 binary64) (log.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f))))
accuracy99.5%
(/.f64 (*.f64 (/.f64 #s(literal 1/4 binary64) (log.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f)))) (neg.f64 (*.f64 (PI.f64) (PI.f64)))) (PI.f64))
accuracy99.4%
(*.f64 (/.f64 #s(literal 1/4 binary64) (log.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f)))) (neg.f64 (*.f64 (PI.f64) (PI.f64))))
accuracy99.6%
(*.f64 (PI.f64) f)
accuracy99.6%
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (neg.f64 (*.f64 (PI.f64) (PI.f64))) #s(literal 1/4 binary64)) (*.f64 (PI.f64) (log.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f))))))
accuracy99.4%
(/.f64 (*.f64 (neg.f64 (*.f64 (PI.f64) (PI.f64))) #s(literal 1/4 binary64)) (*.f64 (PI.f64) (log.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f)))))
accuracy99.4%
(*.f64 (PI.f64) (log.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f))))
accuracy100.0%
(*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f))
accuracy100.0%
(log.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f)))
accuracy99.6%
(*.f64 (PI.f64) f)
accuracy99.5%
(/.f64 (*.f64 (log.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f))) #s(literal -4 binary64)) (PI.f64))
accuracy99.4%
(log.f64 (/.f64 #s(literal 1 binary64) (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))))
accuracy99.4%
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64)))) #s(literal 4 binary64))) (log.f64 (/.f64 #s(literal 1 binary64) (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))))
accuracy98.4%
(*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64))))
accuracy98.4%
(sqrt.f64 (PI.f64))
Samples
147.0ms250×0valid
6.0ms2valid
1.0ms1valid
Compiler

Compiled 453 to 46 computations (89.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 129.0ms
ival-div: 82.0ms (63.5% of total)
ival-mult: 22.0ms (17% of total)
ival-log: 10.0ms (7.7% of total)
ival-neg: 6.0ms (4.6% of total)
ival-sqrt: 5.0ms (3.9% of total)
ival-tanh: 2.0ms (1.5% of total)
ival-pi: 1.0ms (0.8% 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)

series12.0ms (0.1%)

Memory
11.0MiB live, 11.0MiB allocated
Counts
17 → 180
Calls
Call 1
Inputs
#<alt (sqrt.f64 (PI.f64))>
#<alt (*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64))))>
#<alt (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64)))) #s(literal 4 binary64))) (log.f64 (/.f64 #s(literal 1 binary64) (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))))>
#<alt (log.f64 (/.f64 #s(literal 1 binary64) (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))))>
#<alt (/.f64 (*.f64 (log.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f))) #s(literal -4 binary64)) (PI.f64))>
#<alt (*.f64 (PI.f64) f)>
#<alt (log.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f)))>
#<alt (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f))>
#<alt (*.f64 (PI.f64) (log.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f))))>
#<alt (/.f64 (*.f64 (neg.f64 (*.f64 (PI.f64) (PI.f64))) #s(literal 1/4 binary64)) (*.f64 (PI.f64) (log.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f)))))>
#<alt (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (neg.f64 (*.f64 (PI.f64) (PI.f64))) #s(literal 1/4 binary64)) (*.f64 (PI.f64) (log.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f))))))>
#<alt (*.f64 (/.f64 #s(literal 1/4 binary64) (log.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f)))) (neg.f64 (*.f64 (PI.f64) (PI.f64))))>
#<alt (/.f64 (*.f64 (/.f64 #s(literal 1/4 binary64) (log.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f)))) (neg.f64 (*.f64 (PI.f64) (PI.f64)))) (PI.f64))>
#<alt (/.f64 #s(literal 1/4 binary64) (log.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f))))>
#<alt (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 #s(literal 1/4 binary64) (log.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f)))) (neg.f64 (*.f64 (PI.f64) (PI.f64)))) (PI.f64)))>
#<alt (*.f64 (log.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))) (/.f64 #s(literal -4 binary64) (*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64))))))>
#<alt (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))>
Outputs
#<alt (* 4 (/ (+ (log (/ 4 (PI))) (* -1 (log f))) (PI)))>
#<alt (+ (* -8 (/ (* f (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2)))) (pow (PI) 2))) (* 4 (/ (+ (log (/ 4 (PI))) (* -1 (log f))) (PI))))>
#<alt (+ (* 4 (/ (+ (log (/ 4 (PI))) (* -1 (log f))) (PI))) (* f (+ (* -8 (/ (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) (pow (PI) 2))) (* 2 (/ (* f (+ (* -4 (/ (pow (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) 2) (pow (PI) 2))) (* -1/2 (* (PI) (+ (* -16 (/ (pow (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) 2) (pow (PI) 3))) (* 16 (/ (- (* 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)))))))) (PI))))))>
#<alt (+ (* 4 (/ (+ (log (/ 4 (PI))) (* -1 (log f))) (PI))) (* f (+ (* -8 (/ (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) (pow (PI) 2))) (* f (+ (* 2/3 (/ (* f (+ (* -16 (/ (pow (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) 3) (pow (PI) 3))) (+ (* -3 (* (+ (* -16 (/ (pow (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) 2) (pow (PI) 3))) (* 16 (/ (- (* 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)))) (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))))) (* -3/2 (* (PI) (+ (* -32 (/ (* (+ (* -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) 3))) (+ (* -2 (/ (* (+ (* -16 (/ (pow (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) 2) (pow (PI) 3))) (* 16 (/ (- (* 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)))) (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2)))) (PI))) (* 16 (/ (- (* 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))))))) (pow (PI) 2)))))))))) (PI))) (* 2 (/ (+ (* -4 (/ (pow (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) 2) (pow (PI) 2))) (* -1/2 (* (PI) (+ (* -16 (/ (pow (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) 2) (pow (PI) 3))) (* 16 (/ (- (* 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))))))) (PI))))))))>
#<alt (* 4 (/ (log (/ (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))) (PI)))>
#<alt (* 4 (/ (log (/ (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))) (PI)))>
#<alt (* 4 (/ (log (/ (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))) (PI)))>
#<alt (* 4 (/ (log (/ (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))) (PI)))>
#<alt (* 4 (/ (log (/ (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))) (PI)))>
#<alt (* 4 (/ (log (/ (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))) (PI)))>
#<alt (* 4 (/ (log (/ (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))) (PI)))>
#<alt (* 4 (/ (log (/ (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))) (PI)))>
#<alt (+ (log (/ 4 (PI))) (* -1 (log f)))>
#<alt (+ (log (/ 4 (PI))) (+ (* -2 (/ (* f (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2)))) (PI))) (* -1 (log f))))>
#<alt (+ (log (/ 4 (PI))) (+ (* -1 (log f)) (* f (+ (* -2 (/ (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) (PI))) (* 1/2 (* f (+ (* -4 (/ (pow (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) 2) (pow (PI) 2))) (* -1/2 (* (PI) (+ (* -16 (/ (pow (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) 2) (pow (PI) 3))) (* 16 (/ (- (* 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)))))))))))))>
#<alt (+ (log (/ 4 (PI))) (+ (* -1 (log f)) (* f (+ (* -2 (/ (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) (PI))) (* f (+ (* 1/6 (* f (+ (* -16 (/ (pow (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) 3) (pow (PI) 3))) (+ (* -3 (* (+ (* -16 (/ (pow (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) 2) (pow (PI) 3))) (* 16 (/ (- (* 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)))) (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))))) (* -3/2 (* (PI) (+ (* -32 (/ (* (+ (* -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) 3))) (+ (* -2 (/ (* (+ (* -16 (/ (pow (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) 2) (pow (PI) 3))) (* 16 (/ (- (* 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)))) (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2)))) (PI))) (* 16 (/ (- (* 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))))))) (pow (PI) 2))))))))))) (* 1/2 (+ (* -4 (/ (pow (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) 2) (pow (PI) 2))) (* -1/2 (* (PI) (+ (* -16 (/ (pow (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) 2) (pow (PI) 3))) (* 16 (/ (- (* 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))))))))))))))>
#<alt (log (/ (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI))))))))>
#<alt (log (/ (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI))))))))>
#<alt (log (/ (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI))))))))>
#<alt (log (/ (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI))))))))>
#<alt (log (/ (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI))))))))>
#<alt (log (/ (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI))))))))>
#<alt (log (/ (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI))))))))>
#<alt (log (/ (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI))))))))>
#<alt (* -4 (/ (+ (log f) (log (* 1/4 (PI)))) (PI)))>
#<alt (* -4 (/ (+ (log f) (log (* 1/4 (PI)))) (PI)))>
#<alt (* -4 (/ (+ (log f) (log (* 1/4 (PI)))) (PI)))>
#<alt (* -4 (/ (+ (log f) (log (* 1/4 (PI)))) (PI)))>
#<alt (* -4 (/ (+ (log (* 1/4 (PI))) (* -1 (log (/ 1 f)))) (PI)))>
#<alt (* -4 (/ (+ (log (* 1/4 (PI))) (* -1 (log (/ 1 f)))) (PI)))>
#<alt (* -4 (/ (+ (log (* 1/4 (PI))) (* -1 (log (/ 1 f)))) (PI)))>
#<alt (* -4 (/ (+ (log (* 1/4 (PI))) (* -1 (log (/ 1 f)))) (PI)))>
#<alt (* -4 (/ (+ (log (* -1/4 (PI))) (* -1 (log (/ -1 f)))) (PI)))>
#<alt (* -4 (/ (+ (log (* -1/4 (PI))) (* -1 (log (/ -1 f)))) (PI)))>
#<alt (* -4 (/ (+ (log (* -1/4 (PI))) (* -1 (log (/ -1 f)))) (PI)))>
#<alt (* -4 (/ (+ (log (* -1/4 (PI))) (* -1 (log (/ -1 f)))) (PI)))>
#<alt (* f (PI))>
#<alt (* f (PI))>
#<alt (* f (PI))>
#<alt (* f (PI))>
#<alt (* f (PI))>
#<alt (* f (PI))>
#<alt (* f (PI))>
#<alt (* f (PI))>
#<alt (* f (PI))>
#<alt (* f (PI))>
#<alt (* f (PI))>
#<alt (* f (PI))>
#<alt (+ (log f) (log (* 1/4 (PI))))>
#<alt (+ (log f) (log (* 1/4 (PI))))>
#<alt (+ (log f) (log (* 1/4 (PI))))>
#<alt (+ (log f) (log (* 1/4 (PI))))>
#<alt (+ (log (* 1/4 (PI))) (* -1 (log (/ 1 f))))>
#<alt (+ (log (* 1/4 (PI))) (* -1 (log (/ 1 f))))>
#<alt (+ (log (* 1/4 (PI))) (* -1 (log (/ 1 f))))>
#<alt (+ (log (* 1/4 (PI))) (* -1 (log (/ 1 f))))>
#<alt (+ (log (* -1/4 (PI))) (* -1 (log (/ -1 f))))>
#<alt (+ (log (* -1/4 (PI))) (* -1 (log (/ -1 f))))>
#<alt (+ (log (* -1/4 (PI))) (* -1 (log (/ -1 f))))>
#<alt (+ (log (* -1/4 (PI))) (* -1 (log (/ -1 f))))>
#<alt (* 1/4 (* f (PI)))>
#<alt (* 1/4 (* f (PI)))>
#<alt (* 1/4 (* f (PI)))>
#<alt (* 1/4 (* f (PI)))>
#<alt (* 1/4 (* f (PI)))>
#<alt (* 1/4 (* f (PI)))>
#<alt (* 1/4 (* f (PI)))>
#<alt (* 1/4 (* f (PI)))>
#<alt (* 1/4 (* f (PI)))>
#<alt (* 1/4 (* f (PI)))>
#<alt (* 1/4 (* f (PI)))>
#<alt (* 1/4 (* f (PI)))>
#<alt (* (PI) (+ (log f) (log (* 1/4 (PI)))))>
#<alt (* (PI) (+ (log f) (log (* 1/4 (PI)))))>
#<alt (* (PI) (+ (log f) (log (* 1/4 (PI)))))>
#<alt (* (PI) (+ (log f) (log (* 1/4 (PI)))))>
#<alt (* (PI) (+ (log (* 1/4 (PI))) (* -1 (log (/ 1 f)))))>
#<alt (* (PI) (+ (log (* 1/4 (PI))) (* -1 (log (/ 1 f)))))>
#<alt (* (PI) (+ (log (* 1/4 (PI))) (* -1 (log (/ 1 f)))))>
#<alt (* (PI) (+ (log (* 1/4 (PI))) (* -1 (log (/ 1 f)))))>
#<alt (* (PI) (+ (log (* -1/4 (PI))) (* -1 (log (/ -1 f)))))>
#<alt (* (PI) (+ (log (* -1/4 (PI))) (* -1 (log (/ -1 f)))))>
#<alt (* (PI) (+ (log (* -1/4 (PI))) (* -1 (log (/ -1 f)))))>
#<alt (* (PI) (+ (log (* -1/4 (PI))) (* -1 (log (/ -1 f)))))>
#<alt (* -1/4 (/ (PI) (+ (log f) (log (* 1/4 (PI))))))>
#<alt (* -1/4 (/ (PI) (+ (log f) (log (* 1/4 (PI))))))>
#<alt (* -1/4 (/ (PI) (+ (log f) (log (* 1/4 (PI))))))>
#<alt (* -1/4 (/ (PI) (+ (log f) (log (* 1/4 (PI))))))>
#<alt (* -1/4 (/ (PI) (+ (log (* 1/4 (PI))) (* -1 (log (/ 1 f))))))>
#<alt (* -1/4 (/ (PI) (+ (log (* 1/4 (PI))) (* -1 (log (/ 1 f))))))>
#<alt (* -1/4 (/ (PI) (+ (log (* 1/4 (PI))) (* -1 (log (/ 1 f))))))>
#<alt (* -1/4 (/ (PI) (+ (log (* 1/4 (PI))) (* -1 (log (/ 1 f))))))>
#<alt (* -1/4 (/ (PI) (+ (log (* -1/4 (PI))) (* -1 (log (/ -1 f))))))>
#<alt (* -1/4 (/ (PI) (+ (log (* -1/4 (PI))) (* -1 (log (/ -1 f))))))>
#<alt (* -1/4 (/ (PI) (+ (log (* -1/4 (PI))) (* -1 (log (/ -1 f))))))>
#<alt (* -1/4 (/ (PI) (+ (log (* -1/4 (PI))) (* -1 (log (/ -1 f))))))>
#<alt (* -4 (/ (+ (log f) (log (* 1/4 (PI)))) (PI)))>
#<alt (* -4 (/ (+ (log f) (log (* 1/4 (PI)))) (PI)))>
#<alt (* -4 (/ (+ (log f) (log (* 1/4 (PI)))) (PI)))>
#<alt (* -4 (/ (+ (log f) (log (* 1/4 (PI)))) (PI)))>
#<alt (* -4 (/ (+ (log (* 1/4 (PI))) (* -1 (log (/ 1 f)))) (PI)))>
#<alt (* -4 (/ (+ (log (* 1/4 (PI))) (* -1 (log (/ 1 f)))) (PI)))>
#<alt (* -4 (/ (+ (log (* 1/4 (PI))) (* -1 (log (/ 1 f)))) (PI)))>
#<alt (* -4 (/ (+ (log (* 1/4 (PI))) (* -1 (log (/ 1 f)))) (PI)))>
#<alt (* -4 (/ (+ (log (* -1/4 (PI))) (* -1 (log (/ -1 f)))) (PI)))>
#<alt (* -4 (/ (+ (log (* -1/4 (PI))) (* -1 (log (/ -1 f)))) (PI)))>
#<alt (* -4 (/ (+ (log (* -1/4 (PI))) (* -1 (log (/ -1 f)))) (PI)))>
#<alt (* -4 (/ (+ (log (* -1/4 (PI))) (* -1 (log (/ -1 f)))) (PI)))>
#<alt (* -1/4 (/ (pow (PI) 2) (+ (log f) (log (* 1/4 (PI))))))>
#<alt (* -1/4 (/ (pow (PI) 2) (+ (log f) (log (* 1/4 (PI))))))>
#<alt (* -1/4 (/ (pow (PI) 2) (+ (log f) (log (* 1/4 (PI))))))>
#<alt (* -1/4 (/ (pow (PI) 2) (+ (log f) (log (* 1/4 (PI))))))>
#<alt (* -1/4 (/ (pow (PI) 2) (+ (log (* 1/4 (PI))) (* -1 (log (/ 1 f))))))>
#<alt (* -1/4 (/ (pow (PI) 2) (+ (log (* 1/4 (PI))) (* -1 (log (/ 1 f))))))>
#<alt (* -1/4 (/ (pow (PI) 2) (+ (log (* 1/4 (PI))) (* -1 (log (/ 1 f))))))>
#<alt (* -1/4 (/ (pow (PI) 2) (+ (log (* 1/4 (PI))) (* -1 (log (/ 1 f))))))>
#<alt (* -1/4 (/ (pow (PI) 2) (+ (log (* -1/4 (PI))) (* -1 (log (/ -1 f))))))>
#<alt (* -1/4 (/ (pow (PI) 2) (+ (log (* -1/4 (PI))) (* -1 (log (/ -1 f))))))>
#<alt (* -1/4 (/ (pow (PI) 2) (+ (log (* -1/4 (PI))) (* -1 (log (/ -1 f))))))>
#<alt (* -1/4 (/ (pow (PI) 2) (+ (log (* -1/4 (PI))) (* -1 (log (/ -1 f))))))>
#<alt (* -1/4 (/ (PI) (+ (log f) (log (* 1/4 (PI))))))>
#<alt (* -1/4 (/ (PI) (+ (log f) (log (* 1/4 (PI))))))>
#<alt (* -1/4 (/ (PI) (+ (log f) (log (* 1/4 (PI))))))>
#<alt (* -1/4 (/ (PI) (+ (log f) (log (* 1/4 (PI))))))>
#<alt (* -1/4 (/ (PI) (+ (log (* 1/4 (PI))) (* -1 (log (/ 1 f))))))>
#<alt (* -1/4 (/ (PI) (+ (log (* 1/4 (PI))) (* -1 (log (/ 1 f))))))>
#<alt (* -1/4 (/ (PI) (+ (log (* 1/4 (PI))) (* -1 (log (/ 1 f))))))>
#<alt (* -1/4 (/ (PI) (+ (log (* 1/4 (PI))) (* -1 (log (/ 1 f))))))>
#<alt (* -1/4 (/ (PI) (+ (log (* -1/4 (PI))) (* -1 (log (/ -1 f))))))>
#<alt (* -1/4 (/ (PI) (+ (log (* -1/4 (PI))) (* -1 (log (/ -1 f))))))>
#<alt (* -1/4 (/ (PI) (+ (log (* -1/4 (PI))) (* -1 (log (/ -1 f))))))>
#<alt (* -1/4 (/ (PI) (+ (log (* -1/4 (PI))) (* -1 (log (/ -1 f))))))>
#<alt (/ 1/4 (+ (log f) (log (* 1/4 (PI)))))>
#<alt (/ 1/4 (+ (log f) (log (* 1/4 (PI)))))>
#<alt (/ 1/4 (+ (log f) (log (* 1/4 (PI)))))>
#<alt (/ 1/4 (+ (log f) (log (* 1/4 (PI)))))>
#<alt (/ 1/4 (+ (log (* 1/4 (PI))) (* -1 (log (/ 1 f)))))>
#<alt (/ 1/4 (+ (log (* 1/4 (PI))) (* -1 (log (/ 1 f)))))>
#<alt (/ 1/4 (+ (log (* 1/4 (PI))) (* -1 (log (/ 1 f)))))>
#<alt (/ 1/4 (+ (log (* 1/4 (PI))) (* -1 (log (/ 1 f)))))>
#<alt (/ 1/4 (+ (log (* -1/4 (PI))) (* -1 (log (/ -1 f)))))>
#<alt (/ 1/4 (+ (log (* -1/4 (PI))) (* -1 (log (/ -1 f)))))>
#<alt (/ 1/4 (+ (log (* -1/4 (PI))) (* -1 (log (/ -1 f)))))>
#<alt (/ 1/4 (+ (log (* -1/4 (PI))) (* -1 (log (/ -1 f)))))>
#<alt (* -4 (/ (+ (log f) (log (* 1/4 (PI)))) (PI)))>
#<alt (* -4 (/ (+ (log f) (log (* 1/4 (PI)))) (PI)))>
#<alt (* -4 (/ (+ (log f) (log (* 1/4 (PI)))) (PI)))>
#<alt (* -4 (/ (+ (log f) (log (* 1/4 (PI)))) (PI)))>
#<alt (* -4 (/ (+ (log (* 1/4 (PI))) (* -1 (log (/ 1 f)))) (PI)))>
#<alt (* -4 (/ (+ (log (* 1/4 (PI))) (* -1 (log (/ 1 f)))) (PI)))>
#<alt (* -4 (/ (+ (log (* 1/4 (PI))) (* -1 (log (/ 1 f)))) (PI)))>
#<alt (* -4 (/ (+ (log (* 1/4 (PI))) (* -1 (log (/ 1 f)))) (PI)))>
#<alt (* -4 (/ (+ (log (* -1/4 (PI))) (* -1 (log (/ -1 f)))) (PI)))>
#<alt (* -4 (/ (+ (log (* -1/4 (PI))) (* -1 (log (/ -1 f)))) (PI)))>
#<alt (* -4 (/ (+ (log (* -1/4 (PI))) (* -1 (log (/ -1 f)))) (PI)))>
#<alt (* -4 (/ (+ (log (* -1/4 (PI))) (* -1 (log (/ -1 f)))) (PI)))>
#<alt (* -4 (/ (+ (log f) (log (* 1/4 (PI)))) (PI)))>
#<alt (* -4 (/ (+ (log f) (log (* 1/4 (PI)))) (PI)))>
#<alt (* -4 (/ (+ (log f) (log (* 1/4 (PI)))) (PI)))>
#<alt (* -4 (/ (+ (log f) (log (* 1/4 (PI)))) (PI)))>
#<alt (* -4 (/ (+ (log (* 1/4 (PI))) (* -1 (log (/ 1 f)))) (PI)))>
#<alt (* -4 (/ (+ (log (* 1/4 (PI))) (* -1 (log (/ 1 f)))) (PI)))>
#<alt (* -4 (/ (+ (log (* 1/4 (PI))) (* -1 (log (/ 1 f)))) (PI)))>
#<alt (* -4 (/ (+ (log (* 1/4 (PI))) (* -1 (log (/ 1 f)))) (PI)))>
#<alt (* -4 (/ (+ (log (* -1/4 (PI))) (* -1 (log (/ -1 f)))) (PI)))>
#<alt (* -4 (/ (+ (log (* -1/4 (PI))) (* -1 (log (/ -1 f)))) (PI)))>
#<alt (* -4 (/ (+ (log (* -1/4 (PI))) (* -1 (log (/ -1 f)))) (PI)))>
#<alt (* -4 (/ (+ (log (* -1/4 (PI))) (* -1 (log (/ -1 f)))) (PI)))>
#<alt (* 1/4 (* f (PI)))>
#<alt (* 1/4 (* f (PI)))>
#<alt (* 1/4 (* f (PI)))>
#<alt (* 1/4 (* f (PI)))>
#<alt (* 1/4 (* f (PI)))>
#<alt (* 1/4 (* f (PI)))>
#<alt (* 1/4 (* f (PI)))>
#<alt (* 1/4 (* f (PI)))>
#<alt (* 1/4 (* f (PI)))>
#<alt (* 1/4 (* f (PI)))>
#<alt (* 1/4 (* f (PI)))>
#<alt (* 1/4 (* f (PI)))>
Calls

45 calls:

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

rewrite2.6s (15%)

Memory
9.1MiB live, 361.0MiB allocated
Algorithm
batch-egg-rewrite
Rules
4 292×lower-*.f32
4 262×lower-*.f64
3 280×lower-/.f32
3 262×lower-/.f64
1 368×lower-pow.f64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
039183
073157
1241138
21492129
08403129
Stop Event
iter limit
node limit
iter limit
Counts
17 → 1 767
Calls
Call 1
Inputs
(sqrt.f64 (PI.f64))
(*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64))))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64)))) #s(literal 4 binary64))) (log.f64 (/.f64 #s(literal 1 binary64) (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))))
(log.f64 (/.f64 #s(literal 1 binary64) (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))))
(/.f64 (*.f64 (log.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f))) #s(literal -4 binary64)) (PI.f64))
(*.f64 (PI.f64) f)
(log.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f)))
(*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f))
(*.f64 (PI.f64) (log.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f))))
(/.f64 (*.f64 (neg.f64 (*.f64 (PI.f64) (PI.f64))) #s(literal 1/4 binary64)) (*.f64 (PI.f64) (log.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f)))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (neg.f64 (*.f64 (PI.f64) (PI.f64))) #s(literal 1/4 binary64)) (*.f64 (PI.f64) (log.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f))))))
(*.f64 (/.f64 #s(literal 1/4 binary64) (log.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f)))) (neg.f64 (*.f64 (PI.f64) (PI.f64))))
(/.f64 (*.f64 (/.f64 #s(literal 1/4 binary64) (log.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f)))) (neg.f64 (*.f64 (PI.f64) (PI.f64)))) (PI.f64))
(/.f64 #s(literal 1/4 binary64) (log.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 #s(literal 1/4 binary64) (log.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f)))) (neg.f64 (*.f64 (PI.f64) (PI.f64)))) (PI.f64)))
(*.f64 (log.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))) (/.f64 #s(literal -4 binary64) (*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64))))))
(*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))
Outputs
(exp.f64 (*.f64 (log.f64 (PI.f64)) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 (PI.f64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(exp.f64 (fma.f64 (*.f64 (log.f64 (PI.f64)) #s(literal 1/2 binary64)) #s(literal 1/2 binary64) (*.f64 (*.f64 (log.f64 (PI.f64)) #s(literal 1/2 binary64)) #s(literal 1/2 binary64))))
(exp.f64 (-.f64 (log.f64 (PI.f64)) (*.f64 (log.f64 (PI.f64)) #s(literal 1/2 binary64))))
(fabs.f64 (sqrt.f64 (PI.f64)))
(fabs.f64 (neg.f64 (sqrt.f64 (PI.f64))))
(sqrt.f64 (PI.f64))
(/.f64 (PI.f64) (sqrt.f64 (PI.f64)))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (PI.f64)) (PI.f64)))
(/.f64 (neg.f64 (PI.f64)) (neg.f64 (sqrt.f64 (PI.f64))))
(pow.f64 (PI.f64) #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 (PI.f64)) #s(literal 1 binary64))
(pow.f64 (sqrt.f64 (sqrt.f64 (PI.f64))) #s(literal 2 binary64))
(pow.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))
(pow.f64 (cbrt.f64 (PI.f64)) #s(literal 3/2 binary64))
(pow.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/6 binary64))
(*.f64 (PI.f64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64))))
(*.f64 (sqrt.f64 (PI.f64)) #s(literal 1 binary64))
(*.f64 (sqrt.f64 (sqrt.f64 (PI.f64))) (sqrt.f64 (sqrt.f64 (PI.f64))))
(*.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64)))
(*.f64 (cbrt.f64 (PI.f64)) (pow.f64 (PI.f64) #s(literal 1/6 binary64)))
(*.f64 (cbrt.f64 (PI.f64)) (pow.f64 (pow.f64 (PI.f64) #s(literal 1/6 binary64)) #s(literal 1 binary64)))
(*.f64 (cbrt.f64 (PI.f64)) (fabs.f64 (pow.f64 (PI.f64) #s(literal 1/6 binary64))))
(*.f64 (pow.f64 (PI.f64) #s(literal 1/6 binary64)) (cbrt.f64 (PI.f64)))
(*.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (PI.f64))) #s(literal 1 binary64)) (pow.f64 (sqrt.f64 (sqrt.f64 (PI.f64))) #s(literal 1 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (PI.f64))) #s(literal 1/2 binary64)) (pow.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) #s(literal 1/2 binary64)) (pow.f64 (sqrt.f64 (sqrt.f64 (PI.f64))) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64))))))
(*.f64 (sqrt.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64))))) (sqrt.f64 (sqrt.f64 (sqrt.f64 (PI.f64)))))
(PI.f64)
(log.f64 (exp.f64 (PI.f64)))
(log.f64 (/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 (PI.f64)))))
(exp.f64 (log.f64 (PI.f64)))
(exp.f64 (*.f64 (*.f64 (log.f64 (PI.f64)) #s(literal 1/2 binary64)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 (PI.f64) (PI.f64))) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) (log.f64 (PI.f64))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (neg.f64 (log.f64 (PI.f64))) #s(literal -1 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 (PI.f64)) #s(literal 2 binary64)) #s(literal 1/2 binary64)))
(exp.f64 (fma.f64 (*.f64 #s(literal 3/2 binary64) (log.f64 (PI.f64))) #s(literal 1/2 binary64) (*.f64 (*.f64 (log.f64 (PI.f64)) #s(literal 1/2 binary64)) #s(literal 1/2 binary64))))
(exp.f64 (fma.f64 (*.f64 (log.f64 (PI.f64)) #s(literal 1/2 binary64)) #s(literal 1/2 binary64) (*.f64 (*.f64 #s(literal 3/2 binary64) (log.f64 (PI.f64))) #s(literal 1/2 binary64))))
(exp.f64 (-.f64 (*.f64 (log.f64 (PI.f64)) #s(literal 2 binary64)) (log.f64 (PI.f64))))
(exp.f64 (-.f64 (log.f64 (*.f64 (PI.f64) (PI.f64))) (log.f64 (PI.f64))))
(fabs.f64 (PI.f64))
(-.f64 #s(literal 0 binary64) (neg.f64 (PI.f64)))
(sqrt.f64 (*.f64 (PI.f64) (PI.f64)))
(cbrt.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))))
(cbrt.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))))) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))))
(neg.f64 (neg.f64 (PI.f64)))
(/.f64 (PI.f64) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (PI.f64)))
(/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))))
(/.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64))
(/.f64 (*.f64 (PI.f64) (neg.f64 (PI.f64))) (neg.f64 (PI.f64)))
(/.f64 (neg.f64 (PI.f64)) #s(literal -1 binary64))
(pow.f64 (PI.f64) #s(literal 1 binary64))
(pow.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64))
(pow.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/2 binary64))
(pow.f64 (cbrt.f64 (PI.f64)) #s(literal 3 binary64))
(pow.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/3 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) #s(literal -1 binary64))
(pow.f64 (E.f64) (log.f64 (PI.f64)))
(*.f64 (PI.f64) #s(literal 1 binary64))
(*.f64 (PI.f64) (log.f64 (E.f64)))
(*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)))
(*.f64 (sqrt.f64 (PI.f64)) (log.f64 (exp.f64 (sqrt.f64 (PI.f64)))))
(*.f64 (sqrt.f64 (PI.f64)) (neg.f64 (neg.f64 (sqrt.f64 (PI.f64)))))
(*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64))))
(*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (neg.f64 (neg.f64 (sqrt.f64 (sqrt.f64 (PI.f64))))))
(*.f64 (sqrt.f64 (sqrt.f64 (PI.f64))) (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))))
(*.f64 (sqrt.f64 (sqrt.f64 (PI.f64))) (neg.f64 (neg.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))))))
(*.f64 #s(literal 1 binary64) (PI.f64))
(*.f64 (*.f64 (PI.f64) (PI.f64)) (/.f64 #s(literal 1 binary64) (PI.f64)))
(*.f64 (*.f64 (PI.f64) (neg.f64 (PI.f64))) (/.f64 #s(literal -1 binary64) (PI.f64)))
(*.f64 #s(literal -1 binary64) (neg.f64 (PI.f64)))
(*.f64 (cbrt.f64 (PI.f64)) (pow.f64 (PI.f64) #s(literal 2/3 binary64)))
(*.f64 (cbrt.f64 (PI.f64)) (log.f64 (exp.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)))))
(*.f64 (cbrt.f64 (PI.f64)) (pow.f64 (pow.f64 (PI.f64) #s(literal 4/3 binary64)) #s(literal 1/2 binary64)))
(*.f64 (cbrt.f64 (PI.f64)) (sqrt.f64 (pow.f64 (PI.f64) #s(literal 4/3 binary64))))
(*.f64 (cbrt.f64 (PI.f64)) (neg.f64 (neg.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)))))
(*.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (cbrt.f64 (PI.f64)))
(*.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (pow.f64 (pow.f64 (PI.f64) #s(literal 1/6 binary64)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (neg.f64 (neg.f64 (cbrt.f64 (PI.f64)))))
(*.f64 (neg.f64 (PI.f64)) #s(literal -1 binary64))
(*.f64 (neg.f64 (sqrt.f64 (sqrt.f64 (PI.f64)))) (neg.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64))))))
(*.f64 (neg.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64))))) (neg.f64 (sqrt.f64 (sqrt.f64 (PI.f64)))))
(*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 (PI.f64))) (neg.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))))
(*.f64 (/.f64 #s(literal -1 binary64) (pow.f64 (PI.f64) #s(literal 2/3 binary64))) (neg.f64 (pow.f64 (PI.f64) #s(literal 5/3 binary64))))
(*.f64 (neg.f64 (sqrt.f64 (PI.f64))) (neg.f64 (sqrt.f64 (PI.f64))))
(*.f64 (neg.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64))) (neg.f64 (cbrt.f64 (PI.f64))))
(*.f64 (neg.f64 (cbrt.f64 (PI.f64))) (neg.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64))))
(*.f64 (pow.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) #s(literal 1 binary64)) (pow.f64 (sqrt.f64 (sqrt.f64 (PI.f64))) #s(literal 1 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (PI.f64))) #s(literal 1 binary64)) (pow.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) #s(literal 1 binary64)))
(*.f64 (pow.f64 (pow.f64 (PI.f64) #s(literal 4/3 binary64)) #s(literal 1/2 binary64)) (cbrt.f64 (PI.f64)))
(*.f64 (pow.f64 (*.f64 (PI.f64) (pow.f64 (PI.f64) #s(literal 2/3 binary64))) #s(literal 1/2 binary64)) (pow.f64 (PI.f64) #s(literal 1/6 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) #s(literal 3 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64))) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (cbrt.f64 (PI.f64))) #s(literal 3 binary64)))
(*.f64 (pow.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64))) #s(literal 1/3 binary64)) (pow.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64))) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (sqrt.f64 (PI.f64))) #s(literal 1/3 binary64)) (cbrt.f64 (sqrt.f64 (PI.f64))))
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(*.f64 (/.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (*.f64 (PI.f64) (neg.f64 (PI.f64)))) (*.f64 (cbrt.f64 (PI.f64)) (*.f64 #s(literal 4 binary64) (log.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))))
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(*.f64 (/.f64 #s(literal -1 binary64) (PI.f64)) (*.f64 #s(literal 4 binary64) (log.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))))
(*.f64 (/.f64 #s(literal -1 binary64) (PI.f64)) (pow.f64 (*.f64 (PI.f64) (/.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (log.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (*.f64 (PI.f64) #s(literal -1/4 binary64)) (log.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (*.f64 (PI.f64) #s(literal -1/4 binary64)) (log.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) #s(literal -1/2 binary64)))
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(*.f64 (*.f64 (/.f64 #s(literal -4 binary64) (*.f64 (PI.f64) (PI.f64))) (PI.f64)) (log.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))
(*.f64 (*.f64 (/.f64 (log.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)) (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal -1/4 binary64)))) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)))
(*.f64 (*.f64 (/.f64 (log.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)) (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal -1/4 binary64)))) (pow.f64 (PI.f64) #s(literal 2/3 binary64))) (cbrt.f64 (PI.f64)))
(*.f64 (/.f64 (log.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)) (*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) #s(literal -1/4 binary64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (sqrt.f64 (PI.f64)))))
(*.f64 (*.f64 (/.f64 #s(literal -4 binary64) (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64))))) (log.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (sqrt.f64 (PI.f64)))))
(*.f64 (/.f64 (*.f64 (log.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)) (neg.f64 (PI.f64))) (*.f64 (PI.f64) (PI.f64))) #s(literal 4 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64))) (pow.f64 (/.f64 (sqrt.f64 (PI.f64)) (*.f64 (log.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)) #s(literal -4 binary64))) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (PI.f64) #s(literal 2/3 binary64))) (pow.f64 (/.f64 (cbrt.f64 (PI.f64)) (*.f64 (log.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)) #s(literal -4 binary64))) #s(literal -1 binary64)))
(*.f64 (/.f64 (*.f64 (log.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)) #s(literal -4 binary64)) (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64))))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (sqrt.f64 (PI.f64)))))
(*.f64 (/.f64 (*.f64 (log.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)) #s(literal -4 binary64)) (sqrt.f64 (sqrt.f64 (PI.f64)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64))))))
(*.f64 (/.f64 (*.f64 (log.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)) #s(literal -4 binary64)) (sqrt.f64 (PI.f64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64))))
(*.f64 (/.f64 (*.f64 (log.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)) #s(literal -4 binary64)) (pow.f64 (PI.f64) #s(literal 2/3 binary64))) (/.f64 #s(literal 1 binary64) (cbrt.f64 (PI.f64))))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (log.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) #s(literal -1 binary64)) (/.f64 #s(literal -4 binary64) (PI.f64)))
(*.f64 (pow.f64 (/.f64 #s(literal 1/4 binary64) (PI.f64)) #s(literal -1 binary64)) (pow.f64 (/.f64 (*.f64 (PI.f64) (neg.f64 (PI.f64))) (log.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (*.f64 (PI.f64) (neg.f64 (PI.f64))) (log.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) #s(literal -1 binary64)) (pow.f64 (/.f64 #s(literal 1/4 binary64) (PI.f64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (neg.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) #s(literal -1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (PI.f64)) (*.f64 #s(literal 4 binary64) (log.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (PI.f64)) (*.f64 #s(literal 4 binary64) (log.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))))) #s(literal -1 binary64)) (pow.f64 (neg.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) (neg.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)))) #s(literal -1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 (cbrt.f64 (PI.f64)) (*.f64 #s(literal 4 binary64) (log.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (*.f64 #s(literal 4 binary64) (log.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))))) #s(literal -1 binary64)) (pow.f64 (neg.f64 (pow.f64 (PI.f64) #s(literal 5/3 binary64))) #s(literal -1 binary64)))
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(*.f64 (pow.f64 (*.f64 (sqrt.f64 (PI.f64)) #s(literal -1/4 binary64)) #s(literal -1 binary64)) (pow.f64 (/.f64 (sqrt.f64 (PI.f64)) (log.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (log.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) #s(literal -1 binary64)) (pow.f64 (*.f64 (cbrt.f64 (PI.f64)) #s(literal -1/4 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) #s(literal -1/4 binary64)) #s(literal -1 binary64)) (pow.f64 (/.f64 (cbrt.f64 (PI.f64)) (log.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) #s(literal -1 binary64)))
(neg.f64 (*.f64 (PI.f64) (*.f64 f #s(literal -1/4 binary64))))
(/.f64 f (/.f64 #s(literal 4 binary64) (PI.f64)))
(*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))
(*.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) (*.f64 #s(literal 1/4 binary64) f)))
(*.f64 #s(literal 1 binary64) (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))
(*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f))
(*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)
(*.f64 f (*.f64 (PI.f64) #s(literal 1/4 binary64)))
(*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64))
(*.f64 (*.f64 #s(literal 1/4 binary64) f) (PI.f64))
(*.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (*.f64 (cbrt.f64 (PI.f64)) (*.f64 #s(literal 1/4 binary64) f)))
(*.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) f) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)))
(*.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) f) (pow.f64 (PI.f64) #s(literal 2/3 binary64))) (cbrt.f64 (PI.f64)))

simplify419.0ms (2.4%)

Memory
-20.2MiB live, 419.9MiB allocated
Algorithm
egg-herbie
Rules
5 344×lower-fma.f64
5 344×lower-fma.f32
3 204×lower-*.f64
3 204×lower-*.f32
2 228×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01942936
15662602
222142296
377482296
080272267
Stop Event
iter limit
node limit
Counts
180 → 180
Calls
Call 1
Inputs
(* 4 (/ (+ (log (/ 4 (PI))) (* -1 (log f))) (PI)))
(+ (* -8 (/ (* f (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2)))) (pow (PI) 2))) (* 4 (/ (+ (log (/ 4 (PI))) (* -1 (log f))) (PI))))
(+ (* 4 (/ (+ (log (/ 4 (PI))) (* -1 (log f))) (PI))) (* f (+ (* -8 (/ (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) (pow (PI) 2))) (* 2 (/ (* f (+ (* -4 (/ (pow (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) 2) (pow (PI) 2))) (* -1/2 (* (PI) (+ (* -16 (/ (pow (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) 2) (pow (PI) 3))) (* 16 (/ (- (* 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)))))))) (PI))))))
(+ (* 4 (/ (+ (log (/ 4 (PI))) (* -1 (log f))) (PI))) (* f (+ (* -8 (/ (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) (pow (PI) 2))) (* f (+ (* 2/3 (/ (* f (+ (* -16 (/ (pow (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) 3) (pow (PI) 3))) (+ (* -3 (* (+ (* -16 (/ (pow (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) 2) (pow (PI) 3))) (* 16 (/ (- (* 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)))) (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))))) (* -3/2 (* (PI) (+ (* -32 (/ (* (+ (* -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) 3))) (+ (* -2 (/ (* (+ (* -16 (/ (pow (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) 2) (pow (PI) 3))) (* 16 (/ (- (* 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)))) (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2)))) (PI))) (* 16 (/ (- (* 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))))))) (pow (PI) 2)))))))))) (PI))) (* 2 (/ (+ (* -4 (/ (pow (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) 2) (pow (PI) 2))) (* -1/2 (* (PI) (+ (* -16 (/ (pow (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) 2) (pow (PI) 3))) (* 16 (/ (- (* 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))))))) (PI))))))))
(* 4 (/ (log (/ (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))) (PI)))
(* 4 (/ (log (/ (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))) (PI)))
(* 4 (/ (log (/ (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))) (PI)))
(* 4 (/ (log (/ (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))) (PI)))
(* 4 (/ (log (/ (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))) (PI)))
(* 4 (/ (log (/ (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))) (PI)))
(* 4 (/ (log (/ (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))) (PI)))
(* 4 (/ (log (/ (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))) (PI)))
(+ (log (/ 4 (PI))) (* -1 (log f)))
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(* 4 (/ (+ (log (/ 4 (PI))) (* -1 (log f))) (PI)))
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(*.f64 (+.f64 (log.f64 f) (log.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)))) (/.f64 #s(literal -4 binary64) (PI.f64)))
(* -4 (/ (+ (log (* 1/4 (PI))) (* -1 (log (/ 1 f)))) (PI)))
(*.f64 (+.f64 (log.f64 f) (log.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)))) (/.f64 #s(literal -4 binary64) (PI.f64)))
(* -4 (/ (+ (log (* 1/4 (PI))) (* -1 (log (/ 1 f)))) (PI)))
(*.f64 (+.f64 (log.f64 f) (log.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)))) (/.f64 #s(literal -4 binary64) (PI.f64)))
(* -4 (/ (+ (log (* 1/4 (PI))) (* -1 (log (/ 1 f)))) (PI)))
(*.f64 (+.f64 (log.f64 f) (log.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)))) (/.f64 #s(literal -4 binary64) (PI.f64)))
(* -4 (/ (+ (log (* 1/4 (PI))) (* -1 (log (/ 1 f)))) (PI)))
(*.f64 (+.f64 (log.f64 f) (log.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)))) (/.f64 #s(literal -4 binary64) (PI.f64)))
(* -4 (/ (+ (log (* -1/4 (PI))) (* -1 (log (/ -1 f)))) (PI)))
(*.f64 (-.f64 (log.f64 (*.f64 (PI.f64) #s(literal -1/4 binary64))) (log.f64 (/.f64 #s(literal -1 binary64) f))) (/.f64 #s(literal -4 binary64) (PI.f64)))
(* -4 (/ (+ (log (* -1/4 (PI))) (* -1 (log (/ -1 f)))) (PI)))
(*.f64 (-.f64 (log.f64 (*.f64 (PI.f64) #s(literal -1/4 binary64))) (log.f64 (/.f64 #s(literal -1 binary64) f))) (/.f64 #s(literal -4 binary64) (PI.f64)))
(* -4 (/ (+ (log (* -1/4 (PI))) (* -1 (log (/ -1 f)))) (PI)))
(*.f64 (-.f64 (log.f64 (*.f64 (PI.f64) #s(literal -1/4 binary64))) (log.f64 (/.f64 #s(literal -1 binary64) f))) (/.f64 #s(literal -4 binary64) (PI.f64)))
(* -4 (/ (+ (log (* -1/4 (PI))) (* -1 (log (/ -1 f)))) (PI)))
(*.f64 (-.f64 (log.f64 (*.f64 (PI.f64) #s(literal -1/4 binary64))) (log.f64 (/.f64 #s(literal -1 binary64) f))) (/.f64 #s(literal -4 binary64) (PI.f64)))
(* 1/4 (* f (PI)))
(*.f64 (PI.f64) (*.f64 f #s(literal 1/4 binary64)))
(* 1/4 (* f (PI)))
(*.f64 (PI.f64) (*.f64 f #s(literal 1/4 binary64)))
(* 1/4 (* f (PI)))
(*.f64 (PI.f64) (*.f64 f #s(literal 1/4 binary64)))
(* 1/4 (* f (PI)))
(*.f64 (PI.f64) (*.f64 f #s(literal 1/4 binary64)))
(* 1/4 (* f (PI)))
(*.f64 (PI.f64) (*.f64 f #s(literal 1/4 binary64)))
(* 1/4 (* f (PI)))
(*.f64 (PI.f64) (*.f64 f #s(literal 1/4 binary64)))
(* 1/4 (* f (PI)))
(*.f64 (PI.f64) (*.f64 f #s(literal 1/4 binary64)))
(* 1/4 (* f (PI)))
(*.f64 (PI.f64) (*.f64 f #s(literal 1/4 binary64)))
(* 1/4 (* f (PI)))
(*.f64 (PI.f64) (*.f64 f #s(literal 1/4 binary64)))
(* 1/4 (* f (PI)))
(*.f64 (PI.f64) (*.f64 f #s(literal 1/4 binary64)))
(* 1/4 (* f (PI)))
(*.f64 (PI.f64) (*.f64 f #s(literal 1/4 binary64)))
(* 1/4 (* f (PI)))
(*.f64 (PI.f64) (*.f64 f #s(literal 1/4 binary64)))

eval368.0ms (2.1%)

Memory
-10.8MiB live, 767.7MiB allocated
Compiler

Compiled 54 625 to 5 244 computations (90.4% saved)

prune187.0ms (1.1%)

Memory
25.9MiB live, 590.6MiB allocated
Pruning

26 alts after pruning (20 fresh and 6 done)

PrunedKeptTotal
New2 341122 353
Fresh5813
Picked325
Done044
Total2 349262 375
Accuracy
100.0%
Counts
2 375 → 26
Alt Table
Click to see full alt table
StatusAccuracyProgram
96.4%
(neg.f64 (/.f64 (/.f64 (log.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)) (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal -1/4 binary64)))) (/.f64 #s(literal 1 binary64) (PI.f64))))
96.3%
(neg.f64 (/.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) (/.f64 #s(literal -1/4 binary64) (log.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))))
96.4%
(neg.f64 (/.f64 (/.f64 #s(literal -1 binary64) (*.f64 (PI.f64) (PI.f64))) (/.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (log.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))))))
7.4%
(neg.f64 (/.f64 (-.f64 (log1p.f64 (neg.f64 (exp.f64 (*.f64 f (*.f64 (PI.f64) #s(literal -1/2 binary64)))))) (log1p.f64 (exp.f64 (*.f64 f (*.f64 (PI.f64) #s(literal -1/2 binary64)))))) (*.f64 (PI.f64) #s(literal -1/4 binary64))))
96.5%
(neg.f64 (/.f64 (*.f64 (log.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) f) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)))) #s(literal -4 binary64)) (PI.f64)))
96.5%
(neg.f64 (/.f64 (*.f64 (log.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f))) #s(literal -4 binary64)) (PI.f64)))
98.9%
(neg.f64 (/.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (*.f64 (PI.f64) #s(literal -1/4 binary64))))
96.4%
(neg.f64 (/.f64 (PI.f64) (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal -1/4 binary64))) (log.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))))
96.3%
(neg.f64 (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal -1/4 binary64))) (log.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (PI.f64))))
96.0%
(neg.f64 (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (neg.f64 (*.f64 (PI.f64) (PI.f64))) #s(literal 1/4 binary64)) (*.f64 (*.f64 (log.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64))))))
96.4%
(neg.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/4 binary64) (/.f64 (log.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f))) (PI.f64)))))
96.3%
(neg.f64 (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -1/4 binary64) (log.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (PI.f64))))
96.4%
(neg.f64 (/.f64 #s(literal -4 binary64) (/.f64 (PI.f64) (log.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f))))))
96.1%
(neg.f64 (*.f64 (/.f64 (sqrt.f64 (PI.f64)) (*.f64 (PI.f64) (neg.f64 (PI.f64)))) (*.f64 (sqrt.f64 (PI.f64)) (*.f64 #s(literal 4 binary64) (log.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))))))
96.4%
(neg.f64 (*.f64 (/.f64 (log.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)) (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal -1/4 binary64)))) (PI.f64)))
98.4%
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64)))) #s(literal 4 binary64))) (log.f64 (/.f64 #s(literal 1 binary64) (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))))))
96.5%
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (fma.f64 f (*.f64 f (fma.f64 (*.f64 #s(literal 1/192 binary64) (*.f64 #s(literal 2 binary64) (+.f64 (PI.f64) (PI.f64)))) #s(literal -2 binary64) (*.f64 #s(literal 1/16 binary64) (+.f64 (PI.f64) (PI.f64))))) (/.f64 #s(literal 4 binary64) (PI.f64))) f))))
96.5%
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (fma.f64 f (*.f64 f (/.f64 (*.f64 #s(literal -16 binary64) (fma.f64 (*.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal -1/32 binary64))) #s(literal -1/8 binary64) (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal -7/768 binary64)))) (*.f64 (PI.f64) (PI.f64)))) (/.f64 #s(literal 4 binary64) (PI.f64))) f))))
96.4%
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 #s(literal 0 binary64) (/.f64 #s(literal 4 binary64) (PI.f64))) f))))
96.4%
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 #s(literal 2 binary64) (*.f64 f (*.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))) #s(literal 1/2 binary64)))))))
98.8%
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 #s(literal 1 binary64) (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))))))
96.5%
(neg.f64 (*.f64 (/.f64 #s(literal -4 binary64) (*.f64 (PI.f64) (PI.f64))) (*.f64 (PI.f64) (log.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))))
96.0%
(neg.f64 (*.f64 (*.f64 (/.f64 (log.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)) (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal -1/4 binary64)))) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64))))
96.5%
(neg.f64 (*.f64 (*.f64 (log.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f))) (/.f64 #s(literal -4 binary64) (sqrt.f64 (PI.f64)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64)))))
96.4%
(neg.f64 (*.f64 (log.f64 (*.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))) (*.f64 #s(literal 1/4 binary64) f))) (/.f64 #s(literal -4 binary64) (PI.f64))))
96.4%
(neg.f64 (*.f64 (log.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))) (/.f64 #s(literal -4 binary64) (PI.f64))))
Compiler

Compiled 1 648 to 687 computations (58.3% saved)

regimes84.0ms (0.5%)

Memory
-11.7MiB live, 227.0MiB allocated
Counts
57 → 1
Calls
Call 1
Inputs
(neg.f64 (*.f64 (log.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))) (/.f64 #s(literal -4 binary64) (PI.f64))))
(neg.f64 (/.f64 (log.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))) (*.f64 (PI.f64) #s(literal -1/4 binary64))))
(neg.f64 (/.f64 (*.f64 (log.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f))) #s(literal -4 binary64)) (PI.f64)))
(neg.f64 (/.f64 #s(literal -4 binary64) (/.f64 (PI.f64) (log.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f))))))
(neg.f64 (*.f64 (/.f64 #s(literal -4 binary64) (*.f64 (PI.f64) (PI.f64))) (*.f64 (PI.f64) (log.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))))
(neg.f64 (*.f64 (/.f64 (log.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)) (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal -1/4 binary64)))) (PI.f64)))
(neg.f64 (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -1/4 binary64) (log.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f)))) (PI.f64))))
(neg.f64 (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -1/4 binary64) (log.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (PI.f64))))
(neg.f64 (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (PI.f64) #s(literal -1/4 binary64)) (log.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))))))
(neg.f64 (/.f64 (PI.f64) (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal -1/4 binary64))) (log.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))))
(neg.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/4 binary64) (/.f64 (log.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f))) (PI.f64)))))
(neg.f64 (/.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) (/.f64 #s(literal -1/4 binary64) (log.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))))
(neg.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/4 binary64) (/.f64 (log.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))) (neg.f64 (PI.f64))))))
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 #s(literal 2 binary64) (*.f64 f (*.f64 (PI.f64) #s(literal 1/2 binary64)))))))
(neg.f64 (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (neg.f64 (*.f64 (PI.f64) (PI.f64))) #s(literal 1/4 binary64)) (*.f64 (PI.f64) (log.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f)))))))
(neg.f64 (*.f64 (log.f64 (*.f64 (*.f64 f (sqrt.f64 (PI.f64))) (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/4 binary64)))) (/.f64 #s(literal -4 binary64) (PI.f64))))
(neg.f64 (*.f64 (log.f64 (*.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))) (*.f64 #s(literal 1/4 binary64) f))) (/.f64 #s(literal -4 binary64) (PI.f64))))
(neg.f64 (/.f64 (*.f64 (log.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) f) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)))) #s(literal -4 binary64)) (PI.f64)))
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 #s(literal 0 binary64) (/.f64 #s(literal 4 binary64) (PI.f64))) f))))
(neg.f64 (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal -1/4 binary64))) (log.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (PI.f64))))
(neg.f64 (/.f64 (/.f64 #s(literal -1 binary64) (*.f64 (PI.f64) (PI.f64))) (/.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (log.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))))))
(neg.f64 (/.f64 (/.f64 (log.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)) (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal -1/4 binary64)))) (/.f64 #s(literal 1 binary64) (PI.f64))))
(neg.f64 (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 #s(literal 1/4 binary64) (log.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f)))) (neg.f64 (*.f64 (PI.f64) (PI.f64)))) (PI.f64))))
(neg.f64 (/.f64 (*.f64 (log.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f))) (/.f64 #s(literal -4 binary64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (PI.f64))))
(neg.f64 (/.f64 (*.f64 (/.f64 (log.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f))) (sqrt.f64 (PI.f64))) #s(literal -4 binary64)) (sqrt.f64 (PI.f64))))
(neg.f64 (*.f64 (/.f64 (neg.f64 (log.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))) (sqrt.f64 (PI.f64))) (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64)))))
(neg.f64 (*.f64 (*.f64 (/.f64 (log.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)) (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal -1/4 binary64)))) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64))))
(neg.f64 (*.f64 (*.f64 (log.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f))) (/.f64 #s(literal -4 binary64) (sqrt.f64 (PI.f64)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64)))))
(neg.f64 (*.f64 (/.f64 (sqrt.f64 (PI.f64)) (*.f64 (PI.f64) (neg.f64 (PI.f64)))) (*.f64 (sqrt.f64 (PI.f64)) (*.f64 #s(literal 4 binary64) (log.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))))))
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 #s(literal 2 binary64) (*.f64 f (*.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))) #s(literal 1/2 binary64)))))))
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 f (sqrt.f64 (PI.f64))) (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)))))))
(neg.f64 (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (neg.f64 (*.f64 (PI.f64) (PI.f64))) #s(literal 1/4 binary64)) (*.f64 (*.f64 (log.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64))))))
(neg.f64 (*.f64 (log.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))) (/.f64 #s(literal -4 binary64) (*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64)))))))
(neg.f64 (*.f64 (/.f64 (log.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f))) (sqrt.f64 (sqrt.f64 (PI.f64)))) (/.f64 #s(literal -4 binary64) (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))))))
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (fma.f64 f (*.f64 f (fma.f64 (*.f64 #s(literal 1/192 binary64) (*.f64 #s(literal 2 binary64) (+.f64 (PI.f64) (PI.f64)))) #s(literal -2 binary64) (*.f64 #s(literal 1/16 binary64) (+.f64 (PI.f64) (PI.f64))))) (/.f64 #s(literal 4 binary64) (PI.f64))) f))))
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64)))) #s(literal 4 binary64))) (log.f64 (/.f64 #s(literal 2 binary64) (*.f64 f (*.f64 (PI.f64) #s(literal 1/2 binary64)))))))
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (fma.f64 f (*.f64 f (/.f64 (*.f64 #s(literal -16 binary64) (fma.f64 (*.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal -1/32 binary64))) #s(literal -1/8 binary64) (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal -7/768 binary64)))) (*.f64 (PI.f64) (PI.f64)))) (/.f64 #s(literal 4 binary64) (PI.f64))) f))))
(neg.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 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (log.f64 f)) (/.f64 #s(literal 4 binary64) (PI.f64))))
(neg.f64 (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (PI.f64) #s(literal -1/4 binary64)) (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))))))
(neg.f64 (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (/.f64 #s(literal -1 binary64) (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))))))
(neg.f64 (fma.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (log.f64 #s(literal 2 binary64)) (*.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (neg.f64 (log.f64 (*.f64 (PI.f64) (*.f64 f #s(literal 1/2 binary64))))))))
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 #s(literal 1 binary64) (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))))))
(neg.f64 (*.f64 (/.f64 (neg.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))) (sqrt.f64 (PI.f64))) (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64)))))
(neg.f64 (/.f64 (*.f64 (neg.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))) (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (PI.f64))))
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64)))) #s(literal 4 binary64))) (log.f64 (/.f64 #s(literal 1 binary64) (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))))))
(neg.f64 (*.f64 (pow.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) #s(literal -1/2 binary64)) (*.f64 (pow.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) #s(literal -1/2 binary64)) (neg.f64 (log.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))))))
(neg.f64 (*.f64 (pow.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) #s(literal -1/2 binary64)) (*.f64 (pow.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) #s(literal -1/2 binary64)) (neg.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))))))
(neg.f64 (/.f64 (-.f64 (log1p.f64 (neg.f64 (exp.f64 (*.f64 f (*.f64 (PI.f64) #s(literal -1/2 binary64)))))) (log1p.f64 (exp.f64 (*.f64 f (*.f64 (PI.f64) #s(literal -1/2 binary64)))))) (*.f64 (PI.f64) #s(literal -1/4 binary64))))
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (-.f64 (log.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))) (log.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))))))
(neg.f64 (fma.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (log.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))) (*.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (neg.f64 (log.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))))))))
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (*.f64 (-.f64 (exp.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/2 binary64))) (exp.f64 (neg.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/2 binary64))))) (*.f64 (/.f64 #s(literal 1/2 binary64) (sinh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (/.f64 #s(literal 1/2 binary64) (sinh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))))))))
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))))))
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))))) (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))))))
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (*.f64 #s(literal 0 binary64) (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))))))))
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (/.f64 (-.f64 (pow.f64 (log.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))) #s(literal 2 binary64)) (*.f64 (neg.f64 (log.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))))) (neg.f64 (log.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))))))) (-.f64 (log.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))) (neg.f64 (log.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))))))))
(neg.f64 (/.f64 (*.f64 (-.f64 (pow.f64 (log.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))) #s(literal 3 binary64)) (pow.f64 (log.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))) #s(literal 3 binary64))) #s(literal 4 binary64)) (*.f64 (+.f64 (pow.f64 (log.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))) #s(literal 2 binary64)) (*.f64 (log.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))) (+.f64 (log.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))) (log.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))))))) (PI.f64))))
Outputs
(neg.f64 (/.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (*.f64 (PI.f64) #s(literal -1/4 binary64))))
Calls

6 calls:

16.0ms
f
15.0ms
(*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)
13.0ms
(/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))))
12.0ms
(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))))))))
12.0ms
(log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))))
Results
AccuracySegmentsBranch
98.9%1f
98.9%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))))))))
98.9%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)))))))
98.9%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))))))
98.9%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)))))
98.9%1(*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)
Compiler

Compiled 144 to 60 computations (58.3% saved)

regimes105.0ms (0.6%)

Memory
17.2MiB live, 134.9MiB allocated
Counts
37 → 1
Calls
Call 1
Inputs
(neg.f64 (*.f64 (log.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))) (/.f64 #s(literal -4 binary64) (PI.f64))))
(neg.f64 (/.f64 (log.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))) (*.f64 (PI.f64) #s(literal -1/4 binary64))))
(neg.f64 (/.f64 (*.f64 (log.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f))) #s(literal -4 binary64)) (PI.f64)))
(neg.f64 (/.f64 #s(literal -4 binary64) (/.f64 (PI.f64) (log.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f))))))
(neg.f64 (*.f64 (/.f64 #s(literal -4 binary64) (*.f64 (PI.f64) (PI.f64))) (*.f64 (PI.f64) (log.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))))
(neg.f64 (*.f64 (/.f64 (log.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)) (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal -1/4 binary64)))) (PI.f64)))
(neg.f64 (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -1/4 binary64) (log.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f)))) (PI.f64))))
(neg.f64 (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -1/4 binary64) (log.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (PI.f64))))
(neg.f64 (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (PI.f64) #s(literal -1/4 binary64)) (log.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))))))
(neg.f64 (/.f64 (PI.f64) (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal -1/4 binary64))) (log.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))))
(neg.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/4 binary64) (/.f64 (log.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f))) (PI.f64)))))
(neg.f64 (/.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) (/.f64 #s(literal -1/4 binary64) (log.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))))
(neg.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/4 binary64) (/.f64 (log.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))) (neg.f64 (PI.f64))))))
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 #s(literal 2 binary64) (*.f64 f (*.f64 (PI.f64) #s(literal 1/2 binary64)))))))
(neg.f64 (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (neg.f64 (*.f64 (PI.f64) (PI.f64))) #s(literal 1/4 binary64)) (*.f64 (PI.f64) (log.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f)))))))
(neg.f64 (*.f64 (log.f64 (*.f64 (*.f64 f (sqrt.f64 (PI.f64))) (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/4 binary64)))) (/.f64 #s(literal -4 binary64) (PI.f64))))
(neg.f64 (*.f64 (log.f64 (*.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))) (*.f64 #s(literal 1/4 binary64) f))) (/.f64 #s(literal -4 binary64) (PI.f64))))
(neg.f64 (/.f64 (*.f64 (log.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) f) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)))) #s(literal -4 binary64)) (PI.f64)))
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 #s(literal 0 binary64) (/.f64 #s(literal 4 binary64) (PI.f64))) f))))
(neg.f64 (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal -1/4 binary64))) (log.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (PI.f64))))
(neg.f64 (/.f64 (/.f64 #s(literal -1 binary64) (*.f64 (PI.f64) (PI.f64))) (/.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (log.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))))))
(neg.f64 (/.f64 (/.f64 (log.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)) (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal -1/4 binary64)))) (/.f64 #s(literal 1 binary64) (PI.f64))))
(neg.f64 (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 #s(literal 1/4 binary64) (log.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f)))) (neg.f64 (*.f64 (PI.f64) (PI.f64)))) (PI.f64))))
(neg.f64 (/.f64 (*.f64 (log.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f))) (/.f64 #s(literal -4 binary64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (PI.f64))))
(neg.f64 (/.f64 (*.f64 (/.f64 (log.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f))) (sqrt.f64 (PI.f64))) #s(literal -4 binary64)) (sqrt.f64 (PI.f64))))
(neg.f64 (*.f64 (/.f64 (neg.f64 (log.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))) (sqrt.f64 (PI.f64))) (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64)))))
(neg.f64 (*.f64 (*.f64 (/.f64 (log.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)) (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal -1/4 binary64)))) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64))))
(neg.f64 (*.f64 (*.f64 (log.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f))) (/.f64 #s(literal -4 binary64) (sqrt.f64 (PI.f64)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64)))))
(neg.f64 (*.f64 (/.f64 (sqrt.f64 (PI.f64)) (*.f64 (PI.f64) (neg.f64 (PI.f64)))) (*.f64 (sqrt.f64 (PI.f64)) (*.f64 #s(literal 4 binary64) (log.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))))))
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 #s(literal 2 binary64) (*.f64 f (*.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))) #s(literal 1/2 binary64)))))))
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 f (sqrt.f64 (PI.f64))) (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)))))))
(neg.f64 (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (neg.f64 (*.f64 (PI.f64) (PI.f64))) #s(literal 1/4 binary64)) (*.f64 (*.f64 (log.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64))))))
(neg.f64 (*.f64 (log.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))) (/.f64 #s(literal -4 binary64) (*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64)))))))
(neg.f64 (*.f64 (/.f64 (log.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f))) (sqrt.f64 (sqrt.f64 (PI.f64)))) (/.f64 #s(literal -4 binary64) (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))))))
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (fma.f64 f (*.f64 f (fma.f64 (*.f64 #s(literal 1/192 binary64) (*.f64 #s(literal 2 binary64) (+.f64 (PI.f64) (PI.f64)))) #s(literal -2 binary64) (*.f64 #s(literal 1/16 binary64) (+.f64 (PI.f64) (PI.f64))))) (/.f64 #s(literal 4 binary64) (PI.f64))) f))))
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64)))) #s(literal 4 binary64))) (log.f64 (/.f64 #s(literal 2 binary64) (*.f64 f (*.f64 (PI.f64) #s(literal 1/2 binary64)))))))
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (fma.f64 f (*.f64 f (/.f64 (*.f64 #s(literal -16 binary64) (fma.f64 (*.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal -1/32 binary64))) #s(literal -1/8 binary64) (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal -7/768 binary64)))) (*.f64 (PI.f64) (PI.f64)))) (/.f64 #s(literal 4 binary64) (PI.f64))) f))))
Outputs
(neg.f64 (/.f64 (*.f64 (log.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) f) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)))) #s(literal -4 binary64)) (PI.f64)))
Calls

6 calls:

42.0ms
(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))))))))
25.0ms
(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))))))
11.0ms
(*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)
10.0ms
f
8.0ms
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))))))
Results
AccuracySegmentsBranch
96.5%1f
96.5%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))))))))
96.5%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)))))))
96.5%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))))))
96.5%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)))))
96.5%1(*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)
Compiler

Compiled 144 to 60 computations (58.3% saved)

regimes32.0ms (0.2%)

Memory
-14.1MiB live, 70.2MiB allocated
Counts
17 → 1
Calls
Call 1
Inputs
(neg.f64 (*.f64 (log.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))) (/.f64 #s(literal -4 binary64) (PI.f64))))
(neg.f64 (/.f64 (log.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))) (*.f64 (PI.f64) #s(literal -1/4 binary64))))
(neg.f64 (/.f64 (*.f64 (log.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f))) #s(literal -4 binary64)) (PI.f64)))
(neg.f64 (/.f64 #s(literal -4 binary64) (/.f64 (PI.f64) (log.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f))))))
(neg.f64 (*.f64 (/.f64 #s(literal -4 binary64) (*.f64 (PI.f64) (PI.f64))) (*.f64 (PI.f64) (log.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))))
(neg.f64 (*.f64 (/.f64 (log.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)) (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal -1/4 binary64)))) (PI.f64)))
(neg.f64 (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -1/4 binary64) (log.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f)))) (PI.f64))))
(neg.f64 (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -1/4 binary64) (log.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (PI.f64))))
(neg.f64 (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (PI.f64) #s(literal -1/4 binary64)) (log.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))))))
(neg.f64 (/.f64 (PI.f64) (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal -1/4 binary64))) (log.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))))
(neg.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/4 binary64) (/.f64 (log.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f))) (PI.f64)))))
(neg.f64 (/.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) (/.f64 #s(literal -1/4 binary64) (log.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))))
(neg.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/4 binary64) (/.f64 (log.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))) (neg.f64 (PI.f64))))))
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 #s(literal 2 binary64) (*.f64 f (*.f64 (PI.f64) #s(literal 1/2 binary64)))))))
(neg.f64 (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (neg.f64 (*.f64 (PI.f64) (PI.f64))) #s(literal 1/4 binary64)) (*.f64 (PI.f64) (log.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f)))))))
(neg.f64 (*.f64 (log.f64 (*.f64 (*.f64 f (sqrt.f64 (PI.f64))) (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/4 binary64)))) (/.f64 #s(literal -4 binary64) (PI.f64))))
(neg.f64 (*.f64 (log.f64 (*.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))) (*.f64 #s(literal 1/4 binary64) f))) (/.f64 #s(literal -4 binary64) (PI.f64))))
Outputs
(neg.f64 (/.f64 (log.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))) (*.f64 (PI.f64) #s(literal -1/4 binary64))))
Calls

6 calls:

7.0ms
(/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))))
6.0ms
(*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)
5.0ms
f
4.0ms
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))))))
4.0ms
(log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))))
Results
AccuracySegmentsBranch
96.5%1f
96.5%1(*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)
96.5%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))))))))
96.5%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)))))))
96.5%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))))))
96.5%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)))))
Compiler

Compiled 144 to 60 computations (58.3% saved)

regimes9.0ms (0%)

Memory
-17.2MiB live, 21.5MiB allocated
Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

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

6 calls:

2.0ms
(*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)
1.0ms
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
(*.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
96.4%1f
96.4%1(*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)
96.4%1(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))))))
96.4%1(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))))))
96.4%1(log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))))
96.4%1(/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))))
Compiler

Compiled 144 to 60 computations (58.3% saved)

simplify8.0ms (0%)

Memory
26.1MiB live, 26.1MiB allocated
Algorithm
egg-herbie
Rules
44×*-commutative_binary64
26×+-commutative_binary64
26×sub-neg_binary64
26×neg-sub0_binary64
26×neg-mul-1_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02749
16049
29649
311849
413049
513349
Stop Event
saturated
Calls
Call 1
Inputs
(neg.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 (log.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) f) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)))) #s(literal -4 binary64)) (PI.f64)))
(neg.f64 (/.f64 (log.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))) (*.f64 (PI.f64) #s(literal -1/4 binary64))))
(neg.f64 (*.f64 (log.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))) (/.f64 #s(literal -4 binary64) (PI.f64))))
Outputs
(neg.f64 (/.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (*.f64 (PI.f64) #s(literal -1/4 binary64))))
(/.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (neg.f64 (*.f64 (PI.f64) #s(literal -1/4 binary64))))
(neg.f64 (/.f64 (*.f64 (log.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) f) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)))) #s(literal -4 binary64)) (PI.f64)))
(/.f64 (*.f64 (log.f64 (*.f64 (sqrt.f64 (PI.f64)) (*.f64 (*.f64 #s(literal 1/4 binary64) f) (sqrt.f64 (PI.f64))))) #s(literal -4 binary64)) (neg.f64 (PI.f64)))
(neg.f64 (/.f64 (log.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))) (*.f64 (PI.f64) #s(literal -1/4 binary64))))
(neg.f64 (*.f64 (log.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))) (/.f64 #s(literal -4 binary64) (PI.f64))))
(*.f64 (log.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))) (/.f64 #s(literal -4 binary64) (neg.f64 (PI.f64))))

soundness620.0ms (3.5%)

Memory
-27.5MiB live, 700.5MiB allocated
Rules
7 192×lower-fma.f64
7 192×lower-fma.f32
5 480×lower-*.f32
5 456×lower-*.f64
5 120×lower-*.f32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
032159
055124
1203121
21335110
08693110
039183
073157
1241138
21492129
08403129
043162
079121
1248118
21251117
08483117
01731398
15011260
219101128
082571107
015109
02767
111136
273435
0843735
Stop Event
fuel
iter limit
node limit
iter limit
iter limit
node limit
iter limit
node limit
iter limit
iter limit
node limit
iter limit
iter limit
node limit
iter limit
Compiler

Compiled 138 to 97 computations (29.7% saved)

preprocess37.0ms (0.2%)

Memory
-7.1MiB live, 107.1MiB allocated
Compiler

Compiled 176 to 84 computations (52.3% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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