VandenBroeck and Keller, Equation (20)

Time bar (total: 19.0s)

analyze202.0ms (1.1%)

Memory
-17.1MiB live, 258.9MiB 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 (30.3%)

Memory
103.2MiB live, 6 292.1MiB allocated
Samples
2.3s7 609×1valid
2.0s6 989×1invalid
337.0ms168×2valid
53.0ms479×0valid
1.0ms0exit
1.0ms0invalid
Precisions
Click to see histograms. Total time spent on operations: 4.0s
ival-exp: 1.4s (34.1% of total)
ival-div: 580.0ms (14.6% of total)
ival-log: 509.0ms (12.9% of total)
ival-mult: 368.0ms (9.3% of total)
adjust: 277.0ms (7% of total)
ival-pi: 270.0ms (6.8% of total)
ival-neg: 248.0ms (6.3% of total)
ival-sub: 159.0ms (4% of total)
ival-add: 156.0ms (3.9% of total)
exact: 23.0ms (0.6% of total)
ival-true: 12.0ms (0.3% of total)
ival-assert: 6.0ms (0.2% of total)
Bogosity

preprocess654.0ms (3.4%)

Memory
24.9MiB live, 445.7MiB allocated
Algorithm
egg-herbie
Rules
8 988×accelerator-lowering-fma.f32
8 988×accelerator-lowering-fma.f64
2 264×+-lowering-+.f64
2 264×+-lowering-+.f32
2 004×--lowering--.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
028118
18496
224296
361796
4112096
5162396
6196796
7209796
8234796
9251496
10286278
11332675
12368075
13417375
14466975
15472975
16485375
17494175
18495775
19521375
20569175
21636475
22719175
23789275
01637
14532
212032
326532
439532
550032
659432
773132
883932
9105332
10127432
11140632
12154332
13164432
14185232
15226432
16312232
17468225
18543625
19765025
0848022
Stop Event
iter limit
node limit
node limit
Calls
Call 1
Inputs
(neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))))))
Outputs
(neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))))))
(/.f64 (log.f64 (+.f64 (/.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)))
Call 2
Inputs
(neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))))))
(neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) (neg f))) (exp (neg (* (/ (PI) 4) (neg f))))) (- (exp (* (/ (PI) 4) (neg f))) (exp (neg (* (/ (PI) 4) (neg f)))))))))
(neg (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) (neg f))) (exp (neg (* (/ (PI) 4) (neg f))))) (- (exp (* (/ (PI) 4) (neg f))) (exp (neg (* (/ (PI) 4) (neg f))))))))))
Outputs
(neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))))))
(* (log (+ (/ 1 (+ -1 (sqrt (pow (exp f) (PI))))) (/ 1 (- 1 (pow (exp f) (* (PI) -1/2)))))) (/ -4 (PI)))
(neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) (neg f))) (exp (neg (* (/ (PI) 4) (neg f))))) (- (exp (* (/ (PI) 4) (neg f))) (exp (neg (* (/ (PI) 4) (neg f)))))))))
(* (log (+ (/ 1 (- 1 (sqrt (pow (exp f) (PI))))) (/ 1 (+ -1 (pow (exp f) (* (PI) -1/2)))))) (/ -4 (PI)))
(neg (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) (neg f))) (exp (neg (* (/ (PI) 4) (neg f))))) (- (exp (* (/ (PI) 4) (neg f))) (exp (neg (* (/ (PI) 4) (neg f))))))))))
(* (/ 4 (PI)) (log (+ (/ 1 (- 1 (sqrt (pow (exp f) (PI))))) (/ 1 (+ -1 (pow (exp f) (* (PI) -1/2)))))))

explain414.0ms (2.2%)

Memory
-20.4MiB live, 827.2MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
2490-0-(-.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))))
33(6456.0369248059715)0-(log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))))
20-0-(/.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)))))
10-0-(exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))
10-0-(exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))
00-0-#s(literal 1 binary64)
00-0-(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))))))
00-0-(/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64)))
00-0-#s(literal 4 binary64)
00-0-(+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))
00-0-(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))))))
00-0-f
00-0-(/.f64 (PI.f64) #s(literal 4 binary64))
00-0-(*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)
00-0-(neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))
00-0-(PI.f64)
Explanations
Click to see full explanations table
OperatorSubexpressionExplanationCount
-.f64(-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))cancellation2490
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))))))sensitivity60
/.f64(/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))))o/o20
(exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))overflow2
(+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))overflow2
(exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))overflow2
(-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))overflow2
exp.f64(exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))sensitivity11
exp.f64(exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))sensitivity11
Confusion
Predicted +Predicted -
+2530
-21
Precision
0.9921568627450981
Recall
1.0
Confusion?
Predicted +Predicted MaybePredicted -
+25300
-201
Precision?
0.9921568627450981
Recall?
1.0
Freqs
test
numberfreq
01
1252
22
31
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
216.0ms482×1valid
5.0ms2valid
3.0ms24×0valid
Compiler

Compiled 472 to 68 computations (85.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 170.0ms
ival-exp: 70.0ms (41.1% of total)
ival-div: 36.0ms (21.1% of total)
ival-log: 13.0ms (7.6% of total)
ival-neg: 11.0ms (6.5% of total)
ival-mult: 11.0ms (6.5% of total)
adjust: 9.0ms (5.3% of total)
ival-pi: 9.0ms (5.3% of total)
ival-sub: 5.0ms (2.9% of total)
ival-add: 5.0ms (2.9% of total)
exact: 1.0ms (0.6% of total)
ival-true: 1.0ms (0.6% of total)
ival-assert: 0.0ms (0% of total)

eval0.0ms (0%)

Memory
0.5MiB live, 0.5MiB 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
6.6%
(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)

simplify360.0ms (1.9%)

Memory
7.6MiB live, 402.5MiB allocated
Algorithm
egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
cost-diff128
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))))))
cost-diff320
(/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64)))
cost-diff384
(/.f64 (PI.f64) #s(literal 4 binary64))
cost-diff13568
(/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))))
Rules
8 988×accelerator-lowering-fma.f32
8 988×accelerator-lowering-fma.f64
2 264×+-lowering-+.f64
2 264×+-lowering-+.f32
2 004×--lowering--.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
016196
145177
2120177
3265177
4395177
5500177
6594177
7731177
8839177
91053177
101274177
111406177
121543177
131644177
141852177
152264177
163122177
174682149
185436149
197650149
08480137
Stop Event
iter limit
node limit
Calls
Call 1
Inputs
(neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))))))
(* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))
(/ 1 (/ (PI) 4))
1
(/ (PI) 4)
(PI)
4
(log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))))
(/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))
(+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))
(exp (* (/ (PI) 4) f))
(* (/ (PI) 4) f)
f
(exp (neg (* (/ (PI) 4) f)))
(neg (* (/ (PI) 4) f))
(- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))
Outputs
(neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))))))
(/.f64 (log.f64 (+.f64 (/.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)))
(* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))
(/.f64 (log.f64 (+.f64 (/.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)))
(/ 1 (/ (PI) 4))
(/.f64 #s(literal 4 binary64) (PI.f64))
1
#s(literal 1 binary64)
(/ (PI) 4)
(*.f64 (PI.f64) #s(literal 1/4 binary64))
(PI)
(PI.f64)
4
#s(literal 4 binary64)
(log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))))
(log.f64 (+.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (PI.f64) (*.f64 f #s(literal 1/2 binary64))))) (/.f64 #s(literal -1 binary64) (expm1.f64 (*.f64 (PI.f64) (*.f64 f #s(literal -1/2 binary64)))))))
(/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))
(+.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (PI.f64) (*.f64 f #s(literal 1/2 binary64))))) (/.f64 #s(literal -1 binary64) (expm1.f64 (*.f64 (PI.f64) (*.f64 f #s(literal -1/2 binary64))))))
(+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))
(+.f64 (exp.f64 (*.f64 (PI.f64) (*.f64 f #s(literal 1/4 binary64)))) (exp.f64 (*.f64 (PI.f64) (*.f64 f #s(literal -1/4 binary64)))))
(exp (* (/ (PI) 4) f))
(exp.f64 (*.f64 (PI.f64) (*.f64 f #s(literal 1/4 binary64))))
(* (/ (PI) 4) f)
(*.f64 (PI.f64) (*.f64 f #s(literal 1/4 binary64)))
f
(exp (neg (* (/ (PI) 4) f)))
(exp.f64 (*.f64 (PI.f64) (*.f64 f #s(literal -1/4 binary64))))
(neg (* (/ (PI) 4) f))
(*.f64 (PI.f64) (*.f64 f #s(literal -1/4 binary64)))
(- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))
(-.f64 (exp.f64 (*.f64 (PI.f64) (*.f64 f #s(literal 1/4 binary64)))) (exp.f64 (*.f64 (PI.f64) (*.f64 f #s(literal -1/4 binary64)))))

localize114.0ms (0.6%)

Memory
-4.3MiB live, 201.1MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy99.5%
(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))))))
accuracy99.3%
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))))))
accuracy98.8%
(/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))))
accuracy9.8%
(-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))
Samples
77.0ms241×1valid
2.0ms2valid
2.0ms12×0valid
Compiler

Compiled 198 to 18 computations (90.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 62.0ms
ival-div: 16.0ms (25.6% of total)
ival-exp: 16.0ms (25.6% of total)
ival-mult: 8.0ms (12.8% of total)
ival-log: 6.0ms (9.6% of total)
adjust: 4.0ms (6.4% of total)
ival-neg: 4.0ms (6.4% of total)
ival-pi: 2.0ms (3.2% of total)
ival-sub: 2.0ms (3.2% of total)
ival-add: 2.0ms (3.2% of total)
ival-assert: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series96.0ms (0.5%)

Memory
35.7MiB live, 149.4MiB allocated
Counts
7 → 60
Calls
Call 1
Inputs
#<alt (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))>
#<alt (/ (PI) 4)>
#<alt (/ 1 (/ (PI) 4))>
#<alt (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))))))>
#<alt (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))>
#<alt (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))>
#<alt (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))))>
Outputs
#<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)>
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#<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)))>
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#<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)))>
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#<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

15 calls:

TimeVariablePointExpression
49.0ms
f
@inf
(neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))))))
36.0ms
f
@-inf
(neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))))))
3.0ms
f
@0
(neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))))))
1.0ms
f
@0
(/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))
1.0ms
f
@-inf
(/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))

rewrite297.0ms (1.6%)

Memory
-15.1MiB live, 440.2MiB allocated
Algorithm
batch-egg-rewrite
Rules
5 070×*-lowering-*.f32
5 070×*-lowering-*.f64
3 230×accelerator-lowering-fma.f32
3 230×accelerator-lowering-fma.f64
3 206×/-lowering-/.f32
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
016100
110652
276452
0854152
Stop Event
iter limit
node limit
Counts
7 → 561
Calls
Call 1
Inputs
(/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))
(/ (PI) 4)
(/ 1 (/ (PI) 4))
(neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))))))
(- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))
(* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))
(log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))))
Outputs
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(+.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (sinh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (exp.f64 (*.f64 (PI.f64) (*.f64 #s(literal -1/4 binary64) f)))) (*.f64 (/.f64 #s(literal 1/2 binary64) (sinh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (exp.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))))
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(-.f64 (/.f64 (log.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))) #s(literal 1 binary64)) (/.f64 (log.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))) #s(literal 1 binary64)))
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(fma.f64 #s(literal -1 binary64) (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)))))
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(neg.f64 (/.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) #s(literal 1 binary64)))
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(/.f64 #s(literal 1 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))))))) (-.f64 (pow.f64 (log.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))) #s(literal 3 binary64)) (pow.f64 (log.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (log.f64 (-.f64 (exp.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/2 binary64))) (exp.f64 (neg.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/2 binary64)))))) (*.f64 (log.f64 (-.f64 (exp.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/2 binary64))) (exp.f64 (neg.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/2 binary64)))))) (neg.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))))))
(/.f64 (neg.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))) #s(literal 1 binary64))
(/.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) #s(literal -1 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 3 binary64)) (pow.f64 (log.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))) #s(literal 3 binary64))) (+.f64 (pow.f64 (log.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))) #s(literal 2 binary64)) (*.f64 (log.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))) (+.f64 (log.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))) (log.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))))))))
(/.f64 (*.f64 (log.f64 (-.f64 (exp.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/2 binary64))) (exp.f64 (neg.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/2 binary64)))))) (neg.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))))) (log.f64 (-.f64 (exp.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/2 binary64))) (exp.f64 (neg.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/2 binary64)))))))
(/.f64 (neg.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)))) (neg.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)))))))))
(/.f64 (neg.f64 (*.f64 (log.f64 (-.f64 (exp.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/2 binary64))) (exp.f64 (neg.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/2 binary64)))))) (neg.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))))) (neg.f64 (log.f64 (-.f64 (exp.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/2 binary64))) (exp.f64 (neg.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/2 binary64))))))))
(/.f64 (+.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 (neg.f64 (log.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))))) #s(literal 3 binary64))) (+.f64 (pow.f64 (log.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))) #s(literal 2 binary64)) (-.f64 (*.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)))))))))
(/.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)))))))
(/.f64 (-.f64 (pow.f64 (log.f64 (*.f64 (cosh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)) #s(literal -2 binary64))) #s(literal 3 binary64)) (pow.f64 (log.f64 (*.f64 (sinh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)) #s(literal -2 binary64))) #s(literal 3 binary64))) (fma.f64 (log.f64 (*.f64 (cosh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)) #s(literal -2 binary64))) (log.f64 (*.f64 (cosh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)) #s(literal -2 binary64))) (fma.f64 (log.f64 (*.f64 (sinh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)) #s(literal -2 binary64))) (log.f64 (*.f64 (sinh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)) #s(literal -2 binary64))) (*.f64 (log.f64 (*.f64 (cosh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)) #s(literal -2 binary64))) (log.f64 (*.f64 (sinh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)) #s(literal -2 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)))))))
(/.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 (*.f64 (log.f64 (*.f64 (cosh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)) #s(literal -2 binary64))) (log.f64 (*.f64 (cosh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)) #s(literal -2 binary64)))) (*.f64 (log.f64 (*.f64 (sinh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)) #s(literal -2 binary64))) (log.f64 (*.f64 (sinh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)) #s(literal -2 binary64))))) (+.f64 (log.f64 (*.f64 (cosh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)) #s(literal -2 binary64))) (log.f64 (*.f64 (sinh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)) #s(literal -2 binary64)))))
(*.f64 #s(literal 1 binary64) (neg.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))))
(*.f64 (neg.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))))
(*.f64 (-.f64 (pow.f64 (log.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))) #s(literal 3 binary64)) (pow.f64 (log.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (log.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))) #s(literal 2 binary64)) (*.f64 (log.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))) (+.f64 (log.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))) (log.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))))))))
(*.f64 (*.f64 (log.f64 (-.f64 (exp.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/2 binary64))) (exp.f64 (neg.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/2 binary64)))))) (neg.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))))) (/.f64 #s(literal 1 binary64) (log.f64 (-.f64 (exp.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/2 binary64))) (exp.f64 (neg.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/2 binary64))))))))

simplify231.0ms (1.2%)

Memory
-3.4MiB live, 348.2MiB allocated
Algorithm
egg-herbie
Rules
7 296×accelerator-lowering-fma.f32
7 296×accelerator-lowering-fma.f64
3 266×*-lowering-*.f32
3 266×*-lowering-*.f64
1 520×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01901850
15531668
221211484
090711459
Stop Event
iter limit
node limit
Counts
60 → 60
Calls
Call 1
Inputs
(/ 2 (* f (- (* 1/4 (PI)) (* -1/4 (PI)))))
(/ (+ (* f (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))))) (* 2 (/ 1 (- (* 1/4 (PI)) (* -1/4 (PI)))))) f)
(/ (+ (* f (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (+ (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* f (- (* 1/16 (/ (pow (PI) 2) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 2 (/ (- (* 1/384 (pow (PI) 3)) (* -1/384 (pow (PI) 3))) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 2)))))))) (* 2 (/ 1 (- (* 1/4 (PI)) (* -1/4 (PI)))))) f)
(/ (+ (* f (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (+ (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* f (- (+ (* 1/16 (/ (pow (PI) 2) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* f (- (+ (* -1/384 (/ (pow (PI) 3) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/384 (/ (pow (PI) 3) (- (* 1/4 (PI)) (* -1/4 (PI)))))) (/ (* (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI)))))) (- (* 1/384 (pow (PI) 3)) (* -1/384 (pow (PI) 3)))) (- (* 1/4 (PI)) (* -1/4 (PI))))))) (* 2 (/ (- (* 1/384 (pow (PI) 3)) (* -1/384 (pow (PI) 3))) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 2)))))))) (* 2 (/ 1 (- (* 1/4 (PI)) (* -1/4 (PI)))))) f)
(/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI)))))))
(/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI)))))))
(/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI)))))))
(/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI)))))))
(/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI)))))))
(/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI)))))))
(/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI)))))))
(/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI)))))))
(* -4 (/ (+ (log (/ 2 (- (* 1/4 (PI)) (* -1/4 (PI))))) (* -1 (log f))) (PI)))
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(*.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 f (*.f64 (PI.f64) #s(literal -1/4 binary64)))) (exp.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64))))) (-.f64 (exp.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))) (exp.f64 (*.f64 f (*.f64 (PI.f64) #s(literal -1/4 binary64))))))) (/.f64 #s(literal 4 binary64) (PI.f64)))
(* 4 (/ (log (/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI)))))))) (PI)))
(*.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 f (*.f64 (PI.f64) #s(literal -1/4 binary64)))) (exp.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64))))) (-.f64 (exp.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))) (exp.f64 (*.f64 f (*.f64 (PI.f64) #s(literal -1/4 binary64))))))) (/.f64 #s(literal 4 binary64) (PI.f64)))
(* 4 (/ (log (/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI)))))))) (PI)))
(*.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 f (*.f64 (PI.f64) #s(literal -1/4 binary64)))) (exp.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64))))) (-.f64 (exp.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))) (exp.f64 (*.f64 f (*.f64 (PI.f64) #s(literal -1/4 binary64))))))) (/.f64 #s(literal 4 binary64) (PI.f64)))
(+ (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 (*.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (fma.f64 #s(literal 1/16 binary64) (+.f64 (PI.f64) (PI.f64)) (*.f64 (*.f64 #s(literal 1/192 binary64) (*.f64 #s(literal 2 binary64) (+.f64 (PI.f64) (PI.f64)))) #s(literal -2 binary64)))) (*.f64 f (*.f64 f #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 (*.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (fma.f64 #s(literal 1/16 binary64) (+.f64 (PI.f64) (PI.f64)) (*.f64 (*.f64 #s(literal 1/192 binary64) (*.f64 #s(literal 2 binary64) (+.f64 (PI.f64) (PI.f64)))) #s(literal -2 binary64)))) (*.f64 f (*.f64 f #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 (PI.f64) #s(literal -1/4 binary64)))) (exp.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64))))) (-.f64 (exp.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))) (exp.f64 (*.f64 f (*.f64 (PI.f64) #s(literal -1/4 binary64)))))))
(log (/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI))))))))
(log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 f (*.f64 (PI.f64) #s(literal -1/4 binary64)))) (exp.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64))))) (-.f64 (exp.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))) (exp.f64 (*.f64 f (*.f64 (PI.f64) #s(literal -1/4 binary64)))))))
(log (/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI))))))))
(log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 f (*.f64 (PI.f64) #s(literal -1/4 binary64)))) (exp.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64))))) (-.f64 (exp.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))) (exp.f64 (*.f64 f (*.f64 (PI.f64) #s(literal -1/4 binary64)))))))
(log (/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI))))))))
(log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 f (*.f64 (PI.f64) #s(literal -1/4 binary64)))) (exp.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64))))) (-.f64 (exp.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))) (exp.f64 (*.f64 f (*.f64 (PI.f64) #s(literal -1/4 binary64)))))))
(log (/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI))))))))
(log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 f (*.f64 (PI.f64) #s(literal -1/4 binary64)))) (exp.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64))))) (-.f64 (exp.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))) (exp.f64 (*.f64 f (*.f64 (PI.f64) #s(literal -1/4 binary64)))))))
(log (/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI))))))))
(log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 f (*.f64 (PI.f64) #s(literal -1/4 binary64)))) (exp.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64))))) (-.f64 (exp.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))) (exp.f64 (*.f64 f (*.f64 (PI.f64) #s(literal -1/4 binary64)))))))
(log (/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI))))))))
(log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 f (*.f64 (PI.f64) #s(literal -1/4 binary64)))) (exp.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64))))) (-.f64 (exp.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))) (exp.f64 (*.f64 f (*.f64 (PI.f64) #s(literal -1/4 binary64)))))))
(log (/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI))))))))
(log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 f (*.f64 (PI.f64) #s(literal -1/4 binary64)))) (exp.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64))))) (-.f64 (exp.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))) (exp.f64 (*.f64 f (*.f64 (PI.f64) #s(literal -1/4 binary64)))))))

eval173.0ms (0.9%)

Memory
18.1MiB live, 209.4MiB allocated
Compiler

Compiled 32 166 to 3 624 computations (88.7% saved)

prune113.0ms (0.6%)

Memory
-9.1MiB live, 195.4MiB allocated
Pruning

19 alts after pruning (19 fresh and 0 done)

PrunedKeptTotal
New76619785
Fresh000
Picked101
Done000
Total76719786
Accuracy
99.6%
Counts
786 → 19
Alt Table
Click to see full alt table
StatusAccuracyProgram
97.5%
(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)))))))
97.6%
(/.f64 (neg.f64 (pow.f64 (/.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (*.f64 (PI.f64) #s(literal -1/4 binary64))) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (*.f64 (PI.f64) #s(literal -1/4 binary64))) #s(literal 2 binary64)) #s(literal 0 binary64)))
99.0%
(/.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (*.f64 (PI.f64) #s(literal 1/4 binary64)))
98.9%
(/.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)))))
99.0%
(*.f64 (pow.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) #s(literal -1/2 binary64)) (*.f64 (pow.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) #s(literal -1/2 binary64)) (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))))
98.0%
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (PI.f64) #s(literal 2/3 binary64))) (/.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (*.f64 (cbrt.f64 (PI.f64)) #s(literal 1/4 binary64))))
96.7%
(*.f64 (-.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (log.f64 f)) (/.f64 #s(literal -4 binary64) (PI.f64)))
97.5%
(*.f64 (neg.f64 (pow.f64 (/.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (*.f64 (PI.f64) #s(literal -1/4 binary64))) #s(literal 2 binary64))) (/.f64 (*.f64 (PI.f64) #s(literal -1/4 binary64)) (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))))
97.9%
(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))))
97.9%
(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) (pow.f64 (PI.f64) #s(literal 2/3 binary64)))) (cbrt.f64 (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))))
98.7%
(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)))))
97.8%
(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 3 binary64)) (pow.f64 (log.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))) #s(literal 3 binary64))) (+.f64 (pow.f64 (log.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))) #s(literal 2 binary64)) (*.f64 (log.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))) (+.f64 (log.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))) (log.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))))))))))
98.1%
(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)))))))
98.1%
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (+.f64 (log.f64 #s(literal 2 binary64)) (log.f64 (/.f64 (cosh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)) (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))))))))
96.9%
(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 #s(literal 1/16 binary64) (+.f64 (PI.f64) (PI.f64)) (*.f64 (*.f64 #s(literal 1/192 binary64) (*.f64 #s(literal 2 binary64) (+.f64 (PI.f64) (PI.f64)))) #s(literal -2 binary64)))) (/.f64 #s(literal 4 binary64) (PI.f64))) f))))
98.1%
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (cosh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)) (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 #s(literal 2 binary64) (*.f64 f (*.f64 (PI.f64) #s(literal 1/2 binary64)))))))
3.4%
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (*.f64 (/.f64 #s(literal -1 binary64) (-.f64 (exp.f64 (neg.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/2 binary64)))) (exp.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/2 binary64))))) (pow.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) #s(literal 2 binary64))))))
Compiler

Compiled 1 044 to 630 computations (39.7% saved)

simplify249.0ms (1.3%)

Memory
2.8MiB live, 202.9MiB allocated
Algorithm
egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (+.f64 (log.f64 #s(literal 2 binary64)) (log.f64 (/.f64 (cosh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)) (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))))))
cost-diff128
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (+.f64 (log.f64 #s(literal 2 binary64)) (log.f64 (/.f64 (cosh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)) (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))))))))
cost-diff320
(/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64)))
cost-diff384
(/.f64 (PI.f64) #s(literal 4 binary64))
cost-diff0
(neg.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))))
cost-diff128
(*.f64 (neg.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))) (/.f64 #s(literal 4 binary64) (pow.f64 (PI.f64) #s(literal 2/3 binary64))))
cost-diff128
(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) (pow.f64 (PI.f64) #s(literal 2/3 binary64)))) (cbrt.f64 (PI.f64))))
cost-diff384
(/.f64 (*.f64 (neg.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))) (/.f64 #s(literal 4 binary64) (pow.f64 (PI.f64) #s(literal 2/3 binary64)))) (cbrt.f64 (PI.f64)))
cost-diff0
(PI.f64)
cost-diff0
(*.f64 (PI.f64) #s(literal 1/4 binary64))
cost-diff0
(/.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))))
cost-diff704
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))))
cost-diff256
(log.f64 (/.f64 #s(literal 2 binary64) (*.f64 f (*.f64 (PI.f64) #s(literal 1/2 binary64)))))
cost-diff320
(/.f64 #s(literal 2 binary64) (*.f64 f (*.f64 (PI.f64) #s(literal 1/2 binary64))))
cost-diff320
(/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64)))
cost-diff384
(/.f64 (PI.f64) #s(literal 4 binary64))
cost-diff0
(PI.f64)
cost-diff0
(*.f64 (PI.f64) #s(literal 1/4 binary64))
cost-diff0
(pow.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) #s(literal -1/2 binary64))
cost-diff13184
(*.f64 (pow.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) #s(literal -1/2 binary64)) (*.f64 (pow.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) #s(literal -1/2 binary64)) (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))))
Rules
3 276×*-lowering-*.f32
3 276×*-lowering-*.f64
2 934×accelerator-lowering-fma.f32
2 934×accelerator-lowering-fma.f64
1 904×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04221474836839
112621474836815
241421474836801
3116121474836801
4275521474836801
5493121474836801
6659821474836801
08116379
Stop Event
iter limit
node limit
Calls
Call 1
Inputs
(* (pow (* (PI) 1/4) -1/2) (* (pow (* (PI) 1/4) -1/2) (log (tanh (* (* (PI) 1/4) f)))))
(pow (* (PI) 1/4) -1/2)
(* (PI) 1/4)
(PI)
1/4
-1/2
(* (pow (* (PI) 1/4) -1/2) (log (tanh (* (* (PI) 1/4) f))))
(log (tanh (* (* (PI) 1/4) f)))
(tanh (* (* (PI) 1/4) f))
(* (* (PI) 1/4) f)
f
(neg (* (/ 1 (/ (PI) 4)) (log (/ 2 (* f (* (PI) 1/2))))))
(* (/ 1 (/ (PI) 4)) (log (/ 2 (* f (* (PI) 1/2)))))
(/ 1 (/ (PI) 4))
1
(/ (PI) 4)
(PI)
4
(log (/ 2 (* f (* (PI) 1/2))))
(/ 2 (* f (* (PI) 1/2)))
2
(* f (* (PI) 1/2))
f
(* (PI) 1/2)
1/2
(/ 1 (/ (* (PI) 1/4) (log (tanh (* (* (PI) 1/4) f)))))
1
(/ (* (PI) 1/4) (log (tanh (* (* (PI) 1/4) f))))
(* (PI) 1/4)
(PI)
1/4
(log (tanh (* (* (PI) 1/4) f)))
(tanh (* (* (PI) 1/4) f))
(* (* (PI) 1/4) f)
f
(neg (/ (* (neg (log (tanh (* (* (PI) 1/4) f)))) (/ 4 (pow (PI) 2/3))) (cbrt (PI))))
(/ (* (neg (log (tanh (* (* (PI) 1/4) f)))) (/ 4 (pow (PI) 2/3))) (cbrt (PI)))
(* (neg (log (tanh (* (* (PI) 1/4) f)))) (/ 4 (pow (PI) 2/3)))
(neg (log (tanh (* (* (PI) 1/4) f))))
(log (tanh (* (* (PI) 1/4) f)))
(tanh (* (* (PI) 1/4) f))
(* (* (PI) 1/4) f)
(* (PI) 1/4)
(PI)
1/4
f
(/ 4 (pow (PI) 2/3))
4
(pow (PI) 2/3)
2/3
(cbrt (PI))
(neg (* (/ 1 (/ (PI) 4)) (+ (log 2) (log (/ (cosh (* (* (PI) 1/4) f)) (* 2 (sinh (* (* (PI) 1/4) f))))))))
(* (/ 1 (/ (PI) 4)) (+ (log 2) (log (/ (cosh (* (* (PI) 1/4) f)) (* 2 (sinh (* (* (PI) 1/4) f)))))))
(/ 1 (/ (PI) 4))
1
(/ (PI) 4)
(PI)
4
(+ (log 2) (log (/ (cosh (* (* (PI) 1/4) f)) (* 2 (sinh (* (* (PI) 1/4) f))))))
(log 2)
2
(log (/ (cosh (* (* (PI) 1/4) f)) (* 2 (sinh (* (* (PI) 1/4) f)))))
(/ (cosh (* (* (PI) 1/4) f)) (* 2 (sinh (* (* (PI) 1/4) f))))
(cosh (* (* (PI) 1/4) f))
(* (* (PI) 1/4) f)
(* (PI) 1/4)
1/4
f
(* 2 (sinh (* (* (PI) 1/4) f)))
(sinh (* (* (PI) 1/4) f))
Outputs
(* (pow (* (PI) 1/4) -1/2) (* (pow (* (PI) 1/4) -1/2) (log (tanh (* (* (PI) 1/4) f)))))
(/.f64 (log.f64 (tanh.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f)))) (*.f64 (PI.f64) #s(literal 1/4 binary64)))
(pow (* (PI) 1/4) -1/2)
(pow.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) #s(literal -1/2 binary64))
(* (PI) 1/4)
(*.f64 (PI.f64) #s(literal 1/4 binary64))
(PI)
(PI.f64)
1/4
#s(literal 1/4 binary64)
-1/2
#s(literal -1/2 binary64)
(* (pow (* (PI) 1/4) -1/2) (log (tanh (* (* (PI) 1/4) f))))
(*.f64 (pow.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) #s(literal -1/2 binary64)) (log.f64 (tanh.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f)))))
(log (tanh (* (* (PI) 1/4) f)))
(log.f64 (tanh.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f))))
(tanh (* (* (PI) 1/4) f))
(tanh.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f)))
(* (* (PI) 1/4) f)
(*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f))
f
(neg (* (/ 1 (/ (PI) 4)) (log (/ 2 (* f (* (PI) 1/2))))))
(/.f64 (log.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f))) (*.f64 (PI.f64) #s(literal 1/4 binary64)))
(* (/ 1 (/ (PI) 4)) (log (/ 2 (* f (* (PI) 1/2)))))
(/.f64 (log.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f))) (*.f64 (PI.f64) #s(literal -1/4 binary64)))
(/ 1 (/ (PI) 4))
(/.f64 #s(literal 4 binary64) (PI.f64))
1
#s(literal 1 binary64)
(/ (PI) 4)
(*.f64 (PI.f64) #s(literal 1/4 binary64))
(PI)
(PI.f64)
4
#s(literal 4 binary64)
(log (/ 2 (* f (* (PI) 1/2))))
(neg.f64 (log.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f))))
(/ 2 (* f (* (PI) 1/2)))
(/.f64 #s(literal 4 binary64) (*.f64 (PI.f64) f))
2
#s(literal 2 binary64)
(* f (* (PI) 1/2))
(*.f64 f (*.f64 (PI.f64) #s(literal 1/2 binary64)))
f
(* (PI) 1/2)
(*.f64 (PI.f64) #s(literal 1/2 binary64))
1/2
#s(literal 1/2 binary64)
(/ 1 (/ (* (PI) 1/4) (log (tanh (* (* (PI) 1/4) f)))))
(/.f64 (log.f64 (tanh.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f)))) (*.f64 (PI.f64) #s(literal 1/4 binary64)))
1
#s(literal 1 binary64)
(/ (* (PI) 1/4) (log (tanh (* (* (PI) 1/4) f))))
(/.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) (log.f64 (tanh.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f)))))
(* (PI) 1/4)
(*.f64 (PI.f64) #s(literal 1/4 binary64))
(PI)
(PI.f64)
1/4
#s(literal 1/4 binary64)
(log (tanh (* (* (PI) 1/4) f)))
(log.f64 (tanh.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f))))
(tanh (* (* (PI) 1/4) f))
(tanh.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f)))
(* (* (PI) 1/4) f)
(*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f))
f
(neg (/ (* (neg (log (tanh (* (* (PI) 1/4) f)))) (/ 4 (pow (PI) 2/3))) (cbrt (PI))))
(/.f64 (log.f64 (tanh.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f)))) (*.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (cbrt.f64 (PI.f64))) #s(literal 1/4 binary64)))
(/ (* (neg (log (tanh (* (* (PI) 1/4) f)))) (/ 4 (pow (PI) 2/3))) (cbrt (PI)))
(/.f64 (log.f64 (tanh.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f)))) (*.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (cbrt.f64 (PI.f64))) #s(literal -1/4 binary64)))
(* (neg (log (tanh (* (* (PI) 1/4) f)))) (/ 4 (pow (PI) 2/3)))
(*.f64 (log.f64 (tanh.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f)))) (/.f64 #s(literal -4 binary64) (pow.f64 (PI.f64) #s(literal 2/3 binary64))))
(neg (log (tanh (* (* (PI) 1/4) f))))
(neg.f64 (log.f64 (tanh.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f)))))
(log (tanh (* (* (PI) 1/4) f)))
(log.f64 (tanh.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f))))
(tanh (* (* (PI) 1/4) f))
(tanh.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f)))
(* (* (PI) 1/4) f)
(*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f))
(* (PI) 1/4)
(*.f64 (PI.f64) #s(literal 1/4 binary64))
(PI)
(PI.f64)
1/4
#s(literal 1/4 binary64)
f
(/ 4 (pow (PI) 2/3))
(/.f64 #s(literal 4 binary64) (pow.f64 (PI.f64) #s(literal 2/3 binary64)))
4
#s(literal 4 binary64)
(pow (PI) 2/3)
(pow.f64 (PI.f64) #s(literal 2/3 binary64))
2/3
#s(literal 2/3 binary64)
(cbrt (PI))
(cbrt.f64 (PI.f64))
(neg (* (/ 1 (/ (PI) 4)) (+ (log 2) (log (/ (cosh (* (* (PI) 1/4) f)) (* 2 (sinh (* (* (PI) 1/4) f))))))))
(/.f64 (+.f64 (log.f64 #s(literal 2 binary64)) (log.f64 (/.f64 (cosh.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f))) (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f))))))) (*.f64 (PI.f64) #s(literal -1/4 binary64)))
(* (/ 1 (/ (PI) 4)) (+ (log 2) (log (/ (cosh (* (* (PI) 1/4) f)) (* 2 (sinh (* (* (PI) 1/4) f)))))))
(/.f64 (+.f64 (log.f64 #s(literal 2 binary64)) (log.f64 (/.f64 (cosh.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f))) (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f))))))) (*.f64 (PI.f64) #s(literal 1/4 binary64)))
(/ 1 (/ (PI) 4))
(/.f64 #s(literal 4 binary64) (PI.f64))
1
#s(literal 1 binary64)
(/ (PI) 4)
(*.f64 (PI.f64) #s(literal 1/4 binary64))
(PI)
(PI.f64)
4
#s(literal 4 binary64)
(+ (log 2) (log (/ (cosh (* (* (PI) 1/4) f)) (* 2 (sinh (* (* (PI) 1/4) f))))))
(+.f64 (log.f64 #s(literal 2 binary64)) (log.f64 (/.f64 (cosh.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f))) (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f)))))))
(log 2)
(log.f64 #s(literal 2 binary64))
2
#s(literal 2 binary64)
(log (/ (cosh (* (* (PI) 1/4) f)) (* 2 (sinh (* (* (PI) 1/4) f)))))
(log.f64 (/.f64 (cosh.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f))) (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f))))))
(/ (cosh (* (* (PI) 1/4) f)) (* 2 (sinh (* (* (PI) 1/4) f))))
(/.f64 (cosh.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f))) (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f)))))
(cosh (* (* (PI) 1/4) f))
(cosh.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f)))
(* (* (PI) 1/4) f)
(*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f))
(* (PI) 1/4)
(*.f64 (PI.f64) #s(literal 1/4 binary64))
1/4
#s(literal 1/4 binary64)
f
(* 2 (sinh (* (* (PI) 1/4) f)))
(*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f))))
(sinh (* (* (PI) 1/4) f))
(sinh.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f)))

localize609.0ms (3.2%)

Memory
0.3MiB live, 353.5MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy99.5%
(/.f64 (cosh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)) (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))))
accuracy99.3%
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (+.f64 (log.f64 #s(literal 2 binary64)) (log.f64 (/.f64 (cosh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)) (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))))))
accuracy99.2%
(+.f64 (log.f64 #s(literal 2 binary64)) (log.f64 (/.f64 (cosh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)) (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))))))
accuracy99.2%
(PI.f64)
accuracy99.3%
(/.f64 (*.f64 (neg.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))) (/.f64 #s(literal 4 binary64) (pow.f64 (PI.f64) #s(literal 2/3 binary64)))) (cbrt.f64 (PI.f64)))
accuracy99.2%
(PI.f64)
accuracy98.4%
(/.f64 #s(literal 4 binary64) (pow.f64 (PI.f64) #s(literal 2/3 binary64)))
accuracy98.4%
(cbrt.f64 (PI.f64))
accuracy99.5%
(*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)
accuracy99.5%
(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))))
accuracy99.2%
(PI.f64)
accuracy99.5%
(*.f64 f (*.f64 (PI.f64) #s(literal 1/2 binary64)))
accuracy99.5%
(/.f64 #s(literal 2 binary64) (*.f64 f (*.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 (PI.f64) #s(literal 1/2 binary64))))))
accuracy99.2%
(PI.f64)
accuracy99.6%
(*.f64 (pow.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) #s(literal -1/2 binary64)) (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))))
accuracy99.5%
(*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)
accuracy99.5%
(log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))
accuracy99.2%
(PI.f64)
Samples
339.0ms252×0valid
20.0ms5exit
2.0ms2valid
1.0ms1valid
Compiler

Compiled 417 to 45 computations (89.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 335.0ms
const: 109.0ms (32.5% of total)
ival-div: 74.0ms (22.1% of total)
ival-cosh: 63.0ms (18.8% of total)
ival-mult: 38.0ms (11.3% of total)
ival-log: 23.0ms (6.9% of total)
ival-pow: 10.0ms (3% of total)
ival-tanh: 4.0ms (1.2% of total)
ival-neg: 4.0ms (1.2% of total)
ival-sinh: 3.0ms (0.9% of total)
ival-cbrt: 2.0ms (0.6% of total)
ival-pi: 1.0ms (0.3% of total)
ival-add: 1.0ms (0.3% of total)
exact: 1.0ms (0.3% of total)
ival-fabs: 1.0ms (0.3% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series544.0ms (2.9%)

Memory
-7.1MiB live, 418.8MiB allocated
Counts
25 → 216
Calls
Call 1
Inputs
#<alt (* (pow (* (PI) 1/4) -1/2) (* (pow (* (PI) 1/4) -1/2) (log (tanh (* (* (PI) 1/4) f)))))>
#<alt (pow (* (PI) 1/4) -1/2)>
#<alt (* (PI) 1/4)>
#<alt (PI)>
#<alt (/ (PI) 4)>
#<alt (/ 1 (/ (PI) 4))>
#<alt (/ 2 (* f (* (PI) 1/2)))>
#<alt (log (/ 2 (* f (* (PI) 1/2))))>
#<alt (/ 1 (/ (* (PI) 1/4) (log (tanh (* (* (PI) 1/4) f)))))>
#<alt (/ (* (PI) 1/4) (log (tanh (* (* (PI) 1/4) f))))>
#<alt (/ (* (neg (log (tanh (* (* (PI) 1/4) f)))) (/ 4 (pow (PI) 2/3))) (cbrt (PI)))>
#<alt (neg (/ (* (neg (log (tanh (* (* (PI) 1/4) f)))) (/ 4 (pow (PI) 2/3))) (cbrt (PI))))>
#<alt (* (neg (log (tanh (* (* (PI) 1/4) f)))) (/ 4 (pow (PI) 2/3)))>
#<alt (neg (log (tanh (* (* (PI) 1/4) f))))>
#<alt (neg (* (/ 1 (/ (PI) 4)) (+ (log 2) (log (/ (cosh (* (* (PI) 1/4) f)) (* 2 (sinh (* (* (PI) 1/4) f))))))))>
#<alt (* (/ 1 (/ (PI) 4)) (+ (log 2) (log (/ (cosh (* (* (PI) 1/4) f)) (* 2 (sinh (* (* (PI) 1/4) f)))))))>
#<alt (log (tanh (* (* (PI) 1/4) f)))>
#<alt (* (* (PI) 1/4) f)>
#<alt (* (pow (* (PI) 1/4) -1/2) (log (tanh (* (* (PI) 1/4) f))))>
#<alt (* (/ 1 (/ (PI) 4)) (log (/ 2 (* f (* (PI) 1/2)))))>
#<alt (* f (* (PI) 1/2))>
#<alt (cbrt (PI))>
#<alt (/ 4 (pow (PI) 2/3))>
#<alt (+ (log 2) (log (/ (cosh (* (* (PI) 1/4) f)) (* 2 (sinh (* (* (PI) 1/4) f))))))>
#<alt (/ (cosh (* (* (PI) 1/4) f)) (* 2 (sinh (* (* (PI) 1/4) f))))>
Outputs
#<alt (* 4 (/ (+ (log f) (log (* 1/4 (PI)))) (PI)))>
#<alt (+ (* 4 (/ (+ (log f) (log (* 1/4 (PI)))) (PI))) (* 8 (/ (* f (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2)))) (pow (PI) 2))))>
#<alt (+ (* 4 (/ (+ (log f) (log (* 1/4 (PI)))) (PI))) (* f (+ (* 2 (/ (* f (+ (* -4 (/ (pow (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) 2) (pow (PI) 2))) (* 8 (/ (- (* 1/2 (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (+ (* -1/128 (pow (PI) 3)) (* 1/192 (pow (PI) 3))))) (* 1/128 (pow (PI) 3))) (PI))))) (PI))) (* 8 (/ (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) (pow (PI) 2))))))>
#<alt (+ (* 4 (/ (+ (log f) (log (* 1/4 (PI)))) (PI))) (* f (+ (* 8 (/ (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) (pow (PI) 2))) (* f (+ (* 2/3 (/ (* f (+ (* -48 (/ (* (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) (- (* 1/2 (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (+ (* -1/128 (pow (PI) 3)) (* 1/192 (pow (PI) 3))))) (* 1/128 (pow (PI) 3)))) (pow (PI) 2))) (+ (* 16 (/ (pow (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) 3) (pow (PI) 3))) (* 24 (/ (- (* 1/2 (+ (* -1/4 (* (PI) (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (+ (* -1/128 (pow (PI) 3)) (* 1/384 (pow (PI) 3)))))) (+ (* -1/32 (* (pow (PI) 2) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (+ (* -1/1536 (pow (PI) 4)) (* 1/3072 (pow (PI) 4)))))) (+ (* -1/8 (* (PI) (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (* -1/128 (pow (PI) 3))))) (* 1/64 (* (pow (PI) 2) (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))))))) (PI)))))) (PI))) (* 2 (/ (+ (* -4 (/ (pow (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) 2) (pow (PI) 2))) (* 8 (/ (- (* 1/2 (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (+ (* -1/128 (pow (PI) 3)) (* 1/192 (pow (PI) 3))))) (* 1/128 (pow (PI) 3))) (PI)))) (PI))))))))>
#<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)))>
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#<alt (+ (* 2 (* (sqrt (/ 1 (PI))) (+ (log f) (log (* 1/4 (PI)))))) (* 4 (* (* f (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2)))) (sqrt (/ 1 (pow (PI) 3))))))>
#<alt (+ (* 2 (* (sqrt (/ 1 (PI))) (+ (log f) (log (* 1/4 (PI)))))) (* f (+ (* 4 (* (sqrt (/ 1 (pow (PI) 3))) (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))))) (* (* f (+ (* -4 (/ (pow (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) 2) (pow (PI) 2))) (* 8 (/ (- (* 1/2 (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (+ (* -1/128 (pow (PI) 3)) (* 1/192 (pow (PI) 3))))) (* 1/128 (pow (PI) 3))) (PI))))) (sqrt (/ 1 (PI)))))))>
#<alt (+ (* 2 (* (sqrt (/ 1 (PI))) (+ (log f) (log (* 1/4 (PI)))))) (* f (+ (* 4 (* (sqrt (/ 1 (pow (PI) 3))) (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))))) (* f (+ (* 1/3 (* (* f (+ (* -48 (/ (* (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) (- (* 1/2 (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (+ (* -1/128 (pow (PI) 3)) (* 1/192 (pow (PI) 3))))) (* 1/128 (pow (PI) 3)))) (pow (PI) 2))) (+ (* 16 (/ (pow (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) 3) (pow (PI) 3))) (* 24 (/ (- (* 1/2 (+ (* -1/4 (* (PI) (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (+ (* -1/128 (pow (PI) 3)) (* 1/384 (pow (PI) 3)))))) (+ (* -1/32 (* (pow (PI) 2) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (+ (* -1/1536 (pow (PI) 4)) (* 1/3072 (pow (PI) 4)))))) (+ (* -1/8 (* (PI) (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (* -1/128 (pow (PI) 3))))) (* 1/64 (* (pow (PI) 2) (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))))))) (PI)))))) (sqrt (/ 1 (PI))))) (* (sqrt (/ 1 (PI))) (+ (* -4 (/ (pow (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) 2) (pow (PI) 2))) (* 8 (/ (- (* 1/2 (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (+ (* -1/128 (pow (PI) 3)) (* 1/192 (pow (PI) 3))))) (* 1/128 (pow (PI) 3))) (PI))))))))))>
#<alt (* 2 (* (sqrt (/ 1 (PI))) (log (/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI))))))))))>
#<alt (* 2 (* (sqrt (/ 1 (PI))) (log (/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI))))))))))>
#<alt (* 2 (* (sqrt (/ 1 (PI))) (log (/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI))))))))))>
#<alt (* 2 (* (sqrt (/ 1 (PI))) (log (/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI))))))))))>
#<alt (* 2 (* (sqrt (/ 1 (PI))) (log (/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI))))))))))>
#<alt (* 2 (* (sqrt (/ 1 (PI))) (log (/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI))))))))))>
#<alt (* 2 (* (sqrt (/ 1 (PI))) (log (/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI))))))))))>
#<alt (* 2 (* (sqrt (/ 1 (PI))) (log (/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI))))))))))>
#<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 (+ (log 2) (+ (log (/ 2 (PI))) (* -1 (log f))))>
#<alt (+ (log 2) (+ (log (/ 2 (PI))) (+ (* -2 (/ (* f (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2)))) (PI))) (* -1 (log f)))))>
#<alt (+ (log 2) (+ (log (/ 2 (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) (- (* 1/8 (PI)) (+ (* -16 (/ (pow (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) 2) (pow (PI) 3))) (* 8 (/ (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (+ (* -1/128 (pow (PI) 3)) (* 1/192 (pow (PI) 3)))) (pow (PI) 2)))))))))))))))>
#<alt (+ (log 2) (+ (log (/ 2 (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))) (+ (* 3/2 (* (PI) (- (* -2 (/ (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (* -1/128 (pow (PI) 3))) (PI))) (+ (* -16 (/ (* (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (+ (* -1/128 (pow (PI) 3)) (* 1/192 (pow (PI) 3)))) (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2)))) (pow (PI) 3))) (+ (* 2 (/ (* (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) (- (* 1/8 (PI)) (+ (* -16 (/ (pow (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) 2) (pow (PI) 3))) (* 8 (/ (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (+ (* -1/128 (pow (PI) 3)) (* 1/192 (pow (PI) 3)))) (pow (PI) 2)))))) (PI))) (* 8 (/ (+ (* -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))))) (pow (PI) 2)))))))) (* 3 (* (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) (- (* 1/8 (PI)) (+ (* -16 (/ (pow (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) 2) (pow (PI) 3))) (* 8 (/ (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (+ (* -1/128 (pow (PI) 3)) (* 1/192 (pow (PI) 3)))) (pow (PI) 2))))))))))) (* 1/2 (+ (* -4 (/ (pow (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) 2) (pow (PI) 2))) (* 1/2 (* (PI) (- (* 1/8 (PI)) (+ (* -16 (/ (pow (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) 2) (pow (PI) 3))) (* 8 (/ (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (+ (* -1/128 (pow (PI) 3)) (* 1/192 (pow (PI) 3)))) (pow (PI) 2))))))))))))))))>
#<alt (+ (log 2) (log (* 1/2 (/ (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI))))))))))>
#<alt (+ (log 2) (log (* 1/2 (/ (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI))))))))))>
#<alt (+ (log 2) (log (* 1/2 (/ (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI))))))))))>
#<alt (+ (log 2) (log (* 1/2 (/ (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI))))))))))>
#<alt (+ (log 2) (log (* 1/2 (/ (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI))))))))))>
#<alt (+ (log 2) (log (* 1/2 (/ (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI))))))))))>
#<alt (+ (log 2) (log (* 1/2 (/ (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI))))))))))>
#<alt (+ (log 2) (log (* 1/2 (/ (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI))))))))))>
#<alt (/ 2 (* f (PI)))>
#<alt (/ (+ (* -4 (/ (* f (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2)))) (pow (PI) 2))) (* 2 (/ 1 (PI)))) f)>
#<alt (/ (+ (* f (+ (* -4 (/ (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) (pow (PI) 2))) (* 1/2 (* f (- (* 1/8 (PI)) (+ (* -16 (/ (pow (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) 2) (pow (PI) 3))) (* 8 (/ (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (+ (* -1/128 (pow (PI) 3)) (* 1/192 (pow (PI) 3)))) (pow (PI) 2))))))))) (* 2 (/ 1 (PI)))) f)>
#<alt (/ (+ (* f (+ (* -4 (/ (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) (pow (PI) 2))) (* f (+ (* 1/2 (* f (- (* -2 (/ (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (* -1/128 (pow (PI) 3))) (PI))) (+ (* -16 (/ (* (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (+ (* -1/128 (pow (PI) 3)) (* 1/192 (pow (PI) 3)))) (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2)))) (pow (PI) 3))) (+ (* 2 (/ (* (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) (- (* 1/8 (PI)) (+ (* -16 (/ (pow (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) 2) (pow (PI) 3))) (* 8 (/ (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (+ (* -1/128 (pow (PI) 3)) (* 1/192 (pow (PI) 3)))) (pow (PI) 2)))))) (PI))) (* 8 (/ (+ (* -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))))) (pow (PI) 2)))))))) (* 1/2 (- (* 1/8 (PI)) (+ (* -16 (/ (pow (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) 2) (pow (PI) 3))) (* 8 (/ (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (+ (* -1/128 (pow (PI) 3)) (* 1/192 (pow (PI) 3)))) (pow (PI) 2)))))))))) (* 2 (/ 1 (PI)))) f)>
#<alt (* 1/2 (/ (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI))))))))>
#<alt (* 1/2 (/ (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI))))))))>
#<alt (* 1/2 (/ (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI))))))))>
#<alt (* 1/2 (/ (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI))))))))>
#<alt (* 1/2 (/ (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI))))))))>
#<alt (* 1/2 (/ (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI))))))))>
#<alt (* 1/2 (/ (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI))))))))>
#<alt (* 1/2 (/ (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI))))))))>
Calls

54 calls:

TimeVariablePointExpression
146.0ms
f
@inf
(neg (* (/ 1 (/ (PI) 4)) (+ (log 2) (log (/ (cosh (* (* (PI) 1/4) f)) (* 2 (sinh (* (* (PI) 1/4) f))))))))
139.0ms
f
@-inf
(neg (* (/ 1 (/ (PI) 4)) (+ (log 2) (log (/ (cosh (* (* (PI) 1/4) f)) (* 2 (sinh (* (* (PI) 1/4) f))))))))
98.0ms
f
@-inf
(* (pow (* (PI) 1/4) -1/2) (* (pow (* (PI) 1/4) -1/2) (log (tanh (* (* (PI) 1/4) f)))))
43.0ms
f
@inf
(* (pow (* (PI) 1/4) -1/2) (* (pow (* (PI) 1/4) -1/2) (log (tanh (* (* (PI) 1/4) f)))))
31.0ms
f
@-inf
(log (/ 2 (* f (* (PI) 1/2))))

rewrite355.0ms (1.9%)

Memory
39.2MiB live, 787.1MiB allocated
Algorithm
batch-egg-rewrite
Rules
3 636×*-lowering-*.f32
3 636×*-lowering-*.f64
3 056×/-lowering-/.f32
3 056×/-lowering-/.f64
1 824×accelerator-lowering-fma.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
041257
1228198
21574194
08379192
Stop Event
iter limit
node limit
Counts
25 → 1 676
Calls
Call 1
Inputs
(* (pow (* (PI) 1/4) -1/2) (* (pow (* (PI) 1/4) -1/2) (log (tanh (* (* (PI) 1/4) f)))))
(pow (* (PI) 1/4) -1/2)
(* (PI) 1/4)
(PI)
(/ (PI) 4)
(/ 1 (/ (PI) 4))
(/ 2 (* f (* (PI) 1/2)))
(log (/ 2 (* f (* (PI) 1/2))))
(/ 1 (/ (* (PI) 1/4) (log (tanh (* (* (PI) 1/4) f)))))
(/ (* (PI) 1/4) (log (tanh (* (* (PI) 1/4) f))))
(/ (* (neg (log (tanh (* (* (PI) 1/4) f)))) (/ 4 (pow (PI) 2/3))) (cbrt (PI)))
(neg (/ (* (neg (log (tanh (* (* (PI) 1/4) f)))) (/ 4 (pow (PI) 2/3))) (cbrt (PI))))
(* (neg (log (tanh (* (* (PI) 1/4) f)))) (/ 4 (pow (PI) 2/3)))
(neg (log (tanh (* (* (PI) 1/4) f))))
(neg (* (/ 1 (/ (PI) 4)) (+ (log 2) (log (/ (cosh (* (* (PI) 1/4) f)) (* 2 (sinh (* (* (PI) 1/4) f))))))))
(* (/ 1 (/ (PI) 4)) (+ (log 2) (log (/ (cosh (* (* (PI) 1/4) f)) (* 2 (sinh (* (* (PI) 1/4) f)))))))
(log (tanh (* (* (PI) 1/4) f)))
(* (* (PI) 1/4) f)
(* (pow (* (PI) 1/4) -1/2) (log (tanh (* (* (PI) 1/4) f))))
(* (/ 1 (/ (PI) 4)) (log (/ 2 (* f (* (PI) 1/2)))))
(* f (* (PI) 1/2))
(cbrt (PI))
(/ 4 (pow (PI) 2/3))
(+ (log 2) (log (/ (cosh (* (* (PI) 1/4) f)) (* 2 (sinh (* (* (PI) 1/4) f))))))
(/ (cosh (* (* (PI) 1/4) f)) (* 2 (sinh (* (* (PI) 1/4) f))))
Outputs
(+.f64 #s(literal 0 binary64) (/.f64 (log.f64 (tanh.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f)))) (*.f64 (PI.f64) #s(literal 1/4 binary64))))
(+.f64 (/.f64 (log.f64 #s(literal 2 binary64)) (*.f64 (PI.f64) #s(literal -1/4 binary64))) (*.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (log.f64 (*.f64 (tanh.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f))) #s(literal 2 binary64)))))
(+.f64 (*.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (log.f64 (*.f64 (tanh.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f))) #s(literal 2 binary64)))) (/.f64 (log.f64 #s(literal 2 binary64)) (*.f64 (PI.f64) #s(literal -1/4 binary64))))
(+.f64 (*.f64 (*.f64 (/.f64 (log.f64 #s(literal 2 binary64)) (PI.f64)) #s(literal 4 binary64)) #s(literal -1 binary64)) (*.f64 (/.f64 (log.f64 (*.f64 (tanh.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f))) #s(literal 2 binary64))) (*.f64 (PI.f64) #s(literal -1/4 binary64))) #s(literal -1 binary64)))
(exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) (log.f64 (tanh.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f)))))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 (log.f64 (tanh.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f)))) (*.f64 (PI.f64) #s(literal -1/4 binary64))))
(-.f64 #s(literal 0 binary64) (/.f64 (/.f64 (log.f64 (tanh.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f)))) (*.f64 (PI.f64) #s(literal -1/4 binary64))) #s(literal 1 binary64)))
(-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) (*.f64 (PI.f64) #s(literal -1/4 binary64))) (/.f64 (log.f64 (*.f64 (tanh.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f))) #s(literal 2 binary64))) (*.f64 (PI.f64) #s(literal -1/4 binary64))))
(-.f64 (/.f64 (/.f64 (log.f64 #s(literal 2 binary64)) (*.f64 (PI.f64) #s(literal -1/4 binary64))) #s(literal 1 binary64)) (/.f64 (/.f64 (log.f64 (*.f64 (tanh.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f))) #s(literal 2 binary64))) (*.f64 (PI.f64) #s(literal -1/4 binary64))) #s(literal 1 binary64)))
(-.f64 (/.f64 (log.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f))))) (*.f64 (PI.f64) #s(literal 1/4 binary64))) (/.f64 (log.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f))))) (*.f64 (PI.f64) #s(literal 1/4 binary64))))
(-.f64 (/.f64 #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))))
(-.f64 (/.f64 (log.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f))))) (*.f64 (PI.f64) #s(literal -1/4 binary64))) (/.f64 (log.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f))))) (*.f64 (PI.f64) #s(literal -1/4 binary64))))
(-.f64 (/.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))))
(-.f64 (/.f64 #s(literal 0 binary64) (cbrt.f64 (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))))
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(*.f64 (pow.f64 (*.f64 (tanh.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f))) #s(literal 2 binary64)) #s(literal -1/2 binary64)) (pow.f64 (*.f64 (tanh.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f))) #s(literal 2 binary64)) #s(literal -1/2 binary64)))

simplify473.0ms (2.5%)

Memory
-8.1MiB live, 880.2MiB allocated
Algorithm
egg-herbie
Rules
8 016×accelerator-lowering-fma.f32
8 016×accelerator-lowering-fma.f64
4 042×*-lowering-*.f32
4 042×*-lowering-*.f64
4 040×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04168647
113527290
257725996
0101955811
Stop Event
iter limit
node limit
Counts
216 → 216
Calls
Call 1
Inputs
(* 4 (/ (+ (log f) (log (* 1/4 (PI)))) (PI)))
(+ (* 4 (/ (+ (log f) (log (* 1/4 (PI)))) (PI))) (* 8 (/ (* f (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2)))) (pow (PI) 2))))
(+ (* 4 (/ (+ (log f) (log (* 1/4 (PI)))) (PI))) (* f (+ (* 2 (/ (* f (+ (* -4 (/ (pow (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) 2) (pow (PI) 2))) (* 8 (/ (- (* 1/2 (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (+ (* -1/128 (pow (PI) 3)) (* 1/192 (pow (PI) 3))))) (* 1/128 (pow (PI) 3))) (PI))))) (PI))) (* 8 (/ (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) (pow (PI) 2))))))
(+ (* 4 (/ (+ (log f) (log (* 1/4 (PI)))) (PI))) (* f (+ (* 8 (/ (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) (pow (PI) 2))) (* f (+ (* 2/3 (/ (* f (+ (* -48 (/ (* (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) (- (* 1/2 (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (+ (* -1/128 (pow (PI) 3)) (* 1/192 (pow (PI) 3))))) (* 1/128 (pow (PI) 3)))) (pow (PI) 2))) (+ (* 16 (/ (pow (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) 3) (pow (PI) 3))) (* 24 (/ (- (* 1/2 (+ (* -1/4 (* (PI) (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (+ (* -1/128 (pow (PI) 3)) (* 1/384 (pow (PI) 3)))))) (+ (* -1/32 (* (pow (PI) 2) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (+ (* -1/1536 (pow (PI) 4)) (* 1/3072 (pow (PI) 4)))))) (+ (* -1/8 (* (PI) (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (* -1/128 (pow (PI) 3))))) (* 1/64 (* (pow (PI) 2) (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))))))) (PI)))))) (PI))) (* 2 (/ (+ (* -4 (/ (pow (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) 2) (pow (PI) 2))) (* 8 (/ (- (* 1/2 (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (+ (* -1/128 (pow (PI) 3)) (* 1/192 (pow (PI) 3))))) (* 1/128 (pow (PI) 3))) (PI)))) (PI))))))))
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(/ 2 (* f (PI)))
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(/.f64 (fma.f64 f (fma.f64 (fma.f64 (PI.f64) #s(literal 1/8 binary64) (*.f64 #s(literal -8 binary64) (/.f64 (*.f64 (PI.f64) (fma.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal -1/32 binary64))) #s(literal -1/4 binary64) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal -1/384 binary64)))) (*.f64 (PI.f64) (PI.f64))))) (*.f64 f #s(literal 1/2 binary64)) #s(literal 0 binary64)) (/.f64 #s(literal 2 binary64) (PI.f64))) f)
(/ (+ (* f (+ (* -4 (/ (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) (pow (PI) 2))) (* f (+ (* 1/2 (* f (- (* -2 (/ (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (* -1/128 (pow (PI) 3))) (PI))) (+ (* -16 (/ (* (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (+ (* -1/128 (pow (PI) 3)) (* 1/192 (pow (PI) 3)))) (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2)))) (pow (PI) 3))) (+ (* 2 (/ (* (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) (- (* 1/8 (PI)) (+ (* -16 (/ (pow (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) 2) (pow (PI) 3))) (* 8 (/ (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (+ (* -1/128 (pow (PI) 3)) (* 1/192 (pow (PI) 3)))) (pow (PI) 2)))))) (PI))) (* 8 (/ (+ (* -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))))) (pow (PI) 2)))))))) (* 1/2 (- (* 1/8 (PI)) (+ (* -16 (/ (pow (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) 2) (pow (PI) 3))) (* 8 (/ (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (+ (* -1/128 (pow (PI) 3)) (* 1/192 (pow (PI) 3)))) (pow (PI) 2)))))))))) (* 2 (/ 1 (PI)))) f)
(/.f64 (fma.f64 f (fma.f64 (*.f64 f #s(literal 1/2 binary64)) (fma.f64 f (fma.f64 #s(literal -2 binary64) (/.f64 (*.f64 (PI.f64) (fma.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal -1/32 binary64))) #s(literal -1/4 binary64) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal -1/128 binary64)))) (PI.f64)) (*.f64 #s(literal -8 binary64) (/.f64 (fma.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (fma.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal -1/32 binary64))) #s(literal -1/4 binary64) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal -1/192 binary64)))) #s(literal -1/4 binary64)) (fma.f64 #s(literal -1/3072 binary64) (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (PI.f64))) (*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/1024 binary64)))) (*.f64 (PI.f64) (PI.f64))))) (fma.f64 (PI.f64) #s(literal 1/8 binary64) (*.f64 #s(literal -8 binary64) (/.f64 (*.f64 (PI.f64) (fma.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal -1/32 binary64))) #s(literal -1/4 binary64) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal -1/384 binary64)))) (*.f64 (PI.f64) (PI.f64)))))) #s(literal 0 binary64)) (/.f64 #s(literal 2 binary64) (PI.f64))) f)
(* 1/2 (/ (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI))))))))
(/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))) (exp.f64 (*.f64 (PI.f64) (*.f64 f #s(literal -1/4 binary64)))))) (-.f64 (exp.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))) (exp.f64 (*.f64 (PI.f64) (*.f64 f #s(literal -1/4 binary64))))))
(* 1/2 (/ (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI))))))))
(/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))) (exp.f64 (*.f64 (PI.f64) (*.f64 f #s(literal -1/4 binary64)))))) (-.f64 (exp.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))) (exp.f64 (*.f64 (PI.f64) (*.f64 f #s(literal -1/4 binary64))))))
(* 1/2 (/ (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI))))))))
(/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))) (exp.f64 (*.f64 (PI.f64) (*.f64 f #s(literal -1/4 binary64)))))) (-.f64 (exp.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))) (exp.f64 (*.f64 (PI.f64) (*.f64 f #s(literal -1/4 binary64))))))
(* 1/2 (/ (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI))))))))
(/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))) (exp.f64 (*.f64 (PI.f64) (*.f64 f #s(literal -1/4 binary64)))))) (-.f64 (exp.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))) (exp.f64 (*.f64 (PI.f64) (*.f64 f #s(literal -1/4 binary64))))))
(* 1/2 (/ (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI))))))))
(/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))) (exp.f64 (*.f64 (PI.f64) (*.f64 f #s(literal -1/4 binary64)))))) (-.f64 (exp.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))) (exp.f64 (*.f64 (PI.f64) (*.f64 f #s(literal -1/4 binary64))))))
(* 1/2 (/ (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI))))))))
(/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))) (exp.f64 (*.f64 (PI.f64) (*.f64 f #s(literal -1/4 binary64)))))) (-.f64 (exp.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))) (exp.f64 (*.f64 (PI.f64) (*.f64 f #s(literal -1/4 binary64))))))
(* 1/2 (/ (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI))))))))
(/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))) (exp.f64 (*.f64 (PI.f64) (*.f64 f #s(literal -1/4 binary64)))))) (-.f64 (exp.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))) (exp.f64 (*.f64 (PI.f64) (*.f64 f #s(literal -1/4 binary64))))))
(* 1/2 (/ (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI))))))))
(/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))) (exp.f64 (*.f64 (PI.f64) (*.f64 f #s(literal -1/4 binary64)))))) (-.f64 (exp.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))) (exp.f64 (*.f64 (PI.f64) (*.f64 f #s(literal -1/4 binary64))))))

eval523.0ms (2.8%)

Memory
34.3MiB live, 917.7MiB allocated
Compiler

Compiled 85 944 to 9 106 computations (89.4% saved)

prune323.0ms (1.7%)

Memory
-10.9MiB live, 674.9MiB allocated
Pruning

22 alts after pruning (22 fresh and 0 done)

PrunedKeptTotal
New3 226203 246
Fresh12214
Picked505
Done000
Total3 243223 265
Accuracy
100.0%
Counts
3 265 → 22
Alt Table
Click to see full alt table
StatusAccuracyProgram
97.7%
(fma.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (log.f64 (*.f64 (tanh.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f))) #s(literal 2 binary64))) (/.f64 (log.f64 #s(literal 2 binary64)) (*.f64 (PI.f64) #s(literal -1/4 binary64))))
98.8%
(/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (/.f64 #s(literal 1 binary64) (log.f64 (tanh.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f))))))
99.0%
(/.f64 (*.f64 (log.f64 (tanh.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f)))) #s(literal 4 binary64)) (PI.f64))
98.6%
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64)))) #s(literal 1/4 binary64)) (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))))
97.9%
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))) #s(literal 1/4 binary64)) (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))))
7.9%
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) (-.f64 (log1p.f64 (neg.f64 (exp.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f)) #s(literal -2 binary64))))) (log1p.f64 (exp.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f)) #s(literal -2 binary64)))))))
98.8%
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1/4 binary64) (log.f64 (tanh.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f))))) (PI.f64)))
7.9%
(-.f64 (/.f64 (log1p.f64 (neg.f64 (exp.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f)) #s(literal -2 binary64))))) (*.f64 (PI.f64) #s(literal 1/4 binary64))) (/.f64 (log1p.f64 (exp.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f)) #s(literal -2 binary64)))) (*.f64 (PI.f64) #s(literal 1/4 binary64))))
98.2%
(-.f64 (/.f64 (log.f64 (cosh.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f)))) (*.f64 (PI.f64) #s(literal -1/4 binary64))) (/.f64 (log.f64 (sinh.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f)))) (*.f64 (PI.f64) #s(literal -1/4 binary64))))
96.7%
(*.f64 (-.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (log.f64 f)) (/.f64 #s(literal -4 binary64) (PI.f64)))
97.9%
(neg.f64 (/.f64 (fma.f64 (log.f64 (*.f64 (tanh.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f))) #s(literal 2 binary64))) (*.f64 (PI.f64) #s(literal -1/4 binary64)) (*.f64 (*.f64 (PI.f64) #s(literal -1/4 binary64)) (log.f64 #s(literal 1/2 binary64)))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/16 binary64))))
96.6%
(neg.f64 (/.f64 (log.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f))) (*.f64 (PI.f64) #s(literal -1/4 binary64))))
96.5%
(neg.f64 (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (PI.f64) #s(literal -1/4 binary64)) (log.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f))))))
96.5%
(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))) (neg.f64 (PI.f64))))))
96.4%
(neg.f64 (-.f64 (*.f64 (/.f64 (log.f64 #s(literal 2 binary64)) (PI.f64)) #s(literal 4 binary64)) (/.f64 (log.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 #s(literal 4 binary64) (PI.f64)) (neg.f64 (log.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f))))))
96.5%
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (log.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f))))))))
96.5%
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (-.f64 (neg.f64 (log.f64 (*.f64 f #s(literal 1/2 binary64)))) (log.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))))))
96.9%
(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 #s(literal 1/16 binary64) (+.f64 (PI.f64) (PI.f64)) (*.f64 (*.f64 #s(literal 1/192 binary64) (*.f64 #s(literal 2 binary64) (+.f64 (PI.f64) (PI.f64)))) #s(literal -2 binary64)))) (/.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 #s(literal 2 binary64) (*.f64 f (*.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))) #s(literal 1/2 binary64)))))))
95.2%
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 1/4 binary64) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)))) (log.f64 (/.f64 #s(literal 2 binary64) (*.f64 f (*.f64 (PI.f64) #s(literal 1/2 binary64)))))))
96.2%
(neg.f64 (*.f64 (*.f64 (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64)))) (log.f64 (/.f64 #s(literal 2 binary64) (*.f64 f (*.f64 (PI.f64) #s(literal 1/2 binary64)))))))
Compiler

Compiled 842 to 628 computations (25.4% saved)

simplify191.0ms (1%)

Memory
-17.0MiB live, 252.4MiB allocated
Algorithm
egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64))))
cost-diff0
(*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64)))) #s(literal 1/4 binary64))
cost-diff0
(/.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64)))) #s(literal 1/4 binary64)) (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))))
cost-diff704
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64)))) #s(literal 1/4 binary64)) (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))))
cost-diff0
(log.f64 (tanh.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f))))
cost-diff0
(/.f64 #s(literal 1/4 binary64) (log.f64 (tanh.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f)))))
cost-diff0
(*.f64 (/.f64 #s(literal 1/4 binary64) (log.f64 (tanh.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f))))) (PI.f64))
cost-diff704
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1/4 binary64) (log.f64 (tanh.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f))))) (PI.f64)))
cost-diff256
(log.f64 (/.f64 #s(literal 2 binary64) (*.f64 f (*.f64 (PI.f64) #s(literal 1/2 binary64)))))
cost-diff320
(/.f64 #s(literal 2 binary64) (*.f64 f (*.f64 (PI.f64) #s(literal 1/2 binary64))))
cost-diff320
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 1/4 binary64) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64))))
cost-diff1600
(*.f64 (*.f64 #s(literal 1/4 binary64) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)))
cost-diff0
(*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f))
cost-diff0
(log.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f)))
cost-diff0
(/.f64 (log.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f))) (*.f64 (PI.f64) #s(literal -1/4 binary64)))
cost-diff128
(neg.f64 (/.f64 (log.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f))) (*.f64 (PI.f64) #s(literal -1/4 binary64))))
cost-diff0
(tanh.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f)))
cost-diff0
(log.f64 (tanh.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f))))
cost-diff0
(*.f64 (log.f64 (tanh.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f)))) #s(literal 4 binary64))
cost-diff0
(/.f64 (*.f64 (log.f64 (tanh.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f)))) #s(literal 4 binary64)) (PI.f64))
Rules
2 960×accelerator-lowering-fma.f32
2 960×accelerator-lowering-fma.f64
2 914×*-lowering-*.f32
2 914×*-lowering-*.f64
1 728×exp-prod
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
042318
1140300
2345296
31032296
43508296
55678296
67934296
08102296
Stop Event
iter limit
node limit
Calls
Call 1
Inputs
(/ (* (log (tanh (* 1/4 (* (PI) f)))) 4) (PI))
(* (log (tanh (* 1/4 (* (PI) f)))) 4)
(log (tanh (* 1/4 (* (PI) f))))
(tanh (* 1/4 (* (PI) f)))
(* 1/4 (* (PI) f))
1/4
(* (PI) f)
(PI)
f
4
(neg (/ (log (* 1/4 (* (PI) f))) (* (PI) -1/4)))
(/ (log (* 1/4 (* (PI) f))) (* (PI) -1/4))
(log (* 1/4 (* (PI) f)))
(* 1/4 (* (PI) f))
1/4
(* (PI) f)
(PI)
f
(* (PI) -1/4)
-1/4
(neg (* (/ 1 (* (* 1/4 (sqrt (PI))) (sqrt (PI)))) (log (/ 2 (* f (* (PI) 1/2))))))
(* (/ 1 (* (* 1/4 (sqrt (PI))) (sqrt (PI)))) (log (/ 2 (* f (* (PI) 1/2)))))
(/ 1 (* (* 1/4 (sqrt (PI))) (sqrt (PI))))
1
(* (* 1/4 (sqrt (PI))) (sqrt (PI)))
(* 1/4 (sqrt (PI)))
1/4
(sqrt (PI))
(PI)
(log (/ 2 (* f (* (PI) 1/2))))
(/ 2 (* f (* (PI) 1/2)))
2
(* f (* (PI) 1/2))
f
(* (PI) 1/2)
1/2
(/ 1 (* (/ 1/4 (log (tanh (* 1/4 (* (PI) f))))) (PI)))
1
(* (/ 1/4 (log (tanh (* 1/4 (* (PI) f))))) (PI))
(/ 1/4 (log (tanh (* 1/4 (* (PI) f)))))
1/4
(log (tanh (* 1/4 (* (PI) f))))
(tanh (* 1/4 (* (PI) f)))
(* 1/4 (* (PI) f))
(* (PI) f)
(PI)
f
(/ 1 (/ (* (* (sqrt (* (PI) (sqrt (PI)))) (sqrt (sqrt (PI)))) 1/4) (log (tanh (* (* (PI) 1/4) f)))))
1
(/ (* (* (sqrt (* (PI) (sqrt (PI)))) (sqrt (sqrt (PI)))) 1/4) (log (tanh (* (* (PI) 1/4) f))))
(* (* (sqrt (* (PI) (sqrt (PI)))) (sqrt (sqrt (PI)))) 1/4)
(* (sqrt (* (PI) (sqrt (PI)))) (sqrt (sqrt (PI))))
(sqrt (* (PI) (sqrt (PI))))
(* (PI) (sqrt (PI)))
(PI)
(sqrt (PI))
(sqrt (sqrt (PI)))
1/4
(log (tanh (* (* (PI) 1/4) f)))
(tanh (* (* (PI) 1/4) f))
(* (* (PI) 1/4) f)
(* (PI) 1/4)
f
Outputs
(/ (* (log (tanh (* 1/4 (* (PI) f)))) 4) (PI))
(/.f64 (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))) (*.f64 #s(literal 1/4 binary64) (PI.f64)))
(* (log (tanh (* 1/4 (* (PI) f)))) 4)
(*.f64 (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))) #s(literal 4 binary64))
(log (tanh (* 1/4 (* (PI) f))))
(log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))))
(tanh (* 1/4 (* (PI) f)))
(tanh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))
(* 1/4 (* (PI) f))
(*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))
1/4
#s(literal 1/4 binary64)
(* (PI) f)
(*.f64 (PI.f64) f)
(PI)
(PI.f64)
f
4
#s(literal 4 binary64)
(neg (/ (log (* 1/4 (* (PI) f))) (* (PI) -1/4)))
(/.f64 (log.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))) (*.f64 #s(literal 1/4 binary64) (PI.f64)))
(/ (log (* 1/4 (* (PI) f))) (* (PI) -1/4))
(/.f64 (log.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))) (*.f64 (PI.f64) #s(literal -1/4 binary64)))
(log (* 1/4 (* (PI) f)))
(log.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))
(* 1/4 (* (PI) f))
(*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))
1/4
#s(literal 1/4 binary64)
(* (PI) f)
(*.f64 (PI.f64) f)
(PI)
(PI.f64)
f
(* (PI) -1/4)
(*.f64 (PI.f64) #s(literal -1/4 binary64))
-1/4
#s(literal -1/4 binary64)
(neg (* (/ 1 (* (* 1/4 (sqrt (PI))) (sqrt (PI)))) (log (/ 2 (* f (* (PI) 1/2))))))
(/.f64 (log.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))) (*.f64 #s(literal 1/4 binary64) (PI.f64)))
(* (/ 1 (* (* 1/4 (sqrt (PI))) (sqrt (PI)))) (log (/ 2 (* f (* (PI) 1/2)))))
(/.f64 (log.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))) (*.f64 (PI.f64) #s(literal -1/4 binary64)))
(/ 1 (* (* 1/4 (sqrt (PI))) (sqrt (PI))))
(/.f64 #s(literal 4 binary64) (PI.f64))
1
#s(literal 1 binary64)
(* (* 1/4 (sqrt (PI))) (sqrt (PI)))
(*.f64 #s(literal 1/4 binary64) (PI.f64))
(* 1/4 (sqrt (PI)))
(*.f64 #s(literal 1/4 binary64) (sqrt.f64 (PI.f64)))
1/4
#s(literal 1/4 binary64)
(sqrt (PI))
(sqrt.f64 (PI.f64))
(PI)
(PI.f64)
(log (/ 2 (* f (* (PI) 1/2))))
(neg.f64 (log.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))))
(/ 2 (* f (* (PI) 1/2)))
(/.f64 #s(literal 4 binary64) (*.f64 (PI.f64) f))
2
#s(literal 2 binary64)
(* f (* (PI) 1/2))
(*.f64 (PI.f64) (*.f64 f #s(literal 1/2 binary64)))
f
(* (PI) 1/2)
(*.f64 (PI.f64) #s(literal 1/2 binary64))
1/2
#s(literal 1/2 binary64)
(/ 1 (* (/ 1/4 (log (tanh (* 1/4 (* (PI) f))))) (PI)))
(/.f64 (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))) (*.f64 #s(literal 1/4 binary64) (PI.f64)))
1
#s(literal 1 binary64)
(* (/ 1/4 (log (tanh (* 1/4 (* (PI) f))))) (PI))
(/.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))))
(/ 1/4 (log (tanh (* 1/4 (* (PI) f)))))
(/.f64 #s(literal 1/4 binary64) (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))))
1/4
#s(literal 1/4 binary64)
(log (tanh (* 1/4 (* (PI) f))))
(log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))))
(tanh (* 1/4 (* (PI) f)))
(tanh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))
(* 1/4 (* (PI) f))
(*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))
(* (PI) f)
(*.f64 (PI.f64) f)
(PI)
(PI.f64)
f
(/ 1 (/ (* (* (sqrt (* (PI) (sqrt (PI)))) (sqrt (sqrt (PI)))) 1/4) (log (tanh (* (* (PI) 1/4) f)))))
(/.f64 (*.f64 (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))) #s(literal 4 binary64)) (*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64)))))
1
#s(literal 1 binary64)
(/ (* (* (sqrt (* (PI) (sqrt (PI)))) (sqrt (sqrt (PI)))) 1/4) (log (tanh (* (* (PI) 1/4) f))))
(/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64))))) (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))))
(* (* (sqrt (* (PI) (sqrt (PI)))) (sqrt (sqrt (PI)))) 1/4)
(*.f64 #s(literal 1/4 binary64) (*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64)))))
(* (sqrt (* (PI) (sqrt (PI)))) (sqrt (sqrt (PI))))
(*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64))))
(sqrt (* (PI) (sqrt (PI))))
(sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64))))
(* (PI) (sqrt (PI)))
(*.f64 (PI.f64) (sqrt.f64 (PI.f64)))
(PI)
(PI.f64)
(sqrt (PI))
(sqrt.f64 (PI.f64))
(sqrt (sqrt (PI)))
(sqrt.f64 (sqrt.f64 (PI.f64)))
1/4
#s(literal 1/4 binary64)
(log (tanh (* (* (PI) 1/4) f)))
(log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))))
(tanh (* (* (PI) 1/4) f))
(tanh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))
(* (* (PI) 1/4) f)
(*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))
(* (PI) 1/4)
(*.f64 #s(literal 1/4 binary64) (PI.f64))
f

localize194.0ms (1%)

Memory
-10.5MiB live, 299.7MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy99.5%
(/.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64)))) #s(literal 1/4 binary64)) (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))))
accuracy99.2%
(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))
accuracy99.5%
(*.f64 (PI.f64) f)
accuracy99.5%
(*.f64 (/.f64 #s(literal 1/4 binary64) (log.f64 (tanh.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f))))) (PI.f64))
accuracy99.5%
(log.f64 (tanh.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f))))
accuracy99.2%
(PI.f64)
accuracy99.3%
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 1/4 binary64) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)))) (log.f64 (/.f64 #s(literal 2 binary64) (*.f64 f (*.f64 (PI.f64) #s(literal 1/2 binary64))))))
accuracy99.2%
(PI.f64)
accuracy98.4%
(*.f64 (*.f64 #s(literal 1/4 binary64) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)))
accuracy98.4%
(sqrt.f64 (PI.f64))
accuracy100.0%
(log.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f)))
accuracy99.5%
(*.f64 (PI.f64) f)
accuracy99.5%
(/.f64 (log.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f))) (*.f64 (PI.f64) #s(literal -1/4 binary64)))
accuracy99.2%
(PI.f64)
accuracy99.5%
(*.f64 (PI.f64) f)
accuracy99.5%
(log.f64 (tanh.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f))))
accuracy99.5%
(/.f64 (*.f64 (log.f64 (tanh.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f)))) #s(literal 4 binary64)) (PI.f64))
accuracy99.2%
(PI.f64)
Samples
84.0ms252×0valid
19.0ms5exit
1.0ms2valid
1.0ms1valid
Compiler

Compiled 334 to 44 computations (86.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 80.0ms
ival-mult: 25.0ms (31.2% of total)
ival-log: 24.0ms (29.9% of total)
ival-div: 13.0ms (16.2% of total)
ival-tanh: 7.0ms (8.7% of total)
ival-sqrt: 5.0ms (6.2% of total)
ival-pi: 4.0ms (5% of total)
ival-neg: 2.0ms (2.5% of total)
exact: 1.0ms (1.2% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series57.0ms (0.3%)

Memory
27.1MiB live, 68.4MiB allocated
Counts
23 → 204
Calls
Call 1
Inputs
#<alt (/ (* (log (tanh (* 1/4 (* (PI) f)))) 4) (PI))>
#<alt (* (log (tanh (* 1/4 (* (PI) f)))) 4)>
#<alt (log (tanh (* 1/4 (* (PI) f))))>
#<alt (tanh (* 1/4 (* (PI) f)))>
#<alt (neg (/ (log (* 1/4 (* (PI) f))) (* (PI) -1/4)))>
#<alt (/ (log (* 1/4 (* (PI) f))) (* (PI) -1/4))>
#<alt (log (* 1/4 (* (PI) f)))>
#<alt (* 1/4 (* (PI) f))>
#<alt (* (* 1/4 (sqrt (PI))) (sqrt (PI)))>
#<alt (/ 1 (* (* 1/4 (sqrt (PI))) (sqrt (PI))))>
#<alt (/ 2 (* f (* (PI) 1/2)))>
#<alt (log (/ 2 (* f (* (PI) 1/2))))>
#<alt (/ 1 (* (/ 1/4 (log (tanh (* 1/4 (* (PI) f))))) (PI)))>
#<alt (* (/ 1/4 (log (tanh (* 1/4 (* (PI) f))))) (PI))>
#<alt (/ 1/4 (log (tanh (* 1/4 (* (PI) f)))))>
#<alt (/ 1 (/ (* (* (sqrt (* (PI) (sqrt (PI)))) (sqrt (sqrt (PI)))) 1/4) (log (tanh (* (* (PI) 1/4) f)))))>
#<alt (/ (* (* (sqrt (* (PI) (sqrt (PI)))) (sqrt (sqrt (PI)))) 1/4) (log (tanh (* (* (PI) 1/4) f))))>
#<alt (* (* (sqrt (* (PI) (sqrt (PI)))) (sqrt (sqrt (PI)))) 1/4)>
#<alt (* (sqrt (* (PI) (sqrt (PI)))) (sqrt (sqrt (PI))))>
#<alt (PI)>
#<alt (* (PI) f)>
#<alt (sqrt (PI))>
#<alt (* (/ 1 (* (* 1/4 (sqrt (PI))) (sqrt (PI)))) (log (/ 2 (* f (* (PI) 1/2)))))>
Outputs
#<alt (* 4 (/ (+ (log f) (log (* 1/4 (PI)))) (PI)))>
#<alt (+ (* 4 (/ (+ (log f) (log (* 1/4 (PI)))) (PI))) (* 8 (/ (* f (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2)))) (pow (PI) 2))))>
#<alt (+ (* 4 (/ (+ (log f) (log (* 1/4 (PI)))) (PI))) (* f (+ (* 2 (/ (* f (+ (* -4 (/ (pow (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) 2) (pow (PI) 2))) (* 8 (/ (- (* 1/2 (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (+ (* -1/128 (pow (PI) 3)) (* 1/192 (pow (PI) 3))))) (* 1/128 (pow (PI) 3))) (PI))))) (PI))) (* 8 (/ (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) (pow (PI) 2))))))>
#<alt (+ (* 4 (/ (+ (log f) (log (* 1/4 (PI)))) (PI))) (* f (+ (* 8 (/ (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) (pow (PI) 2))) (* f (+ (* 2/3 (/ (* f (+ (* -48 (/ (* (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) (- (* 1/2 (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (+ (* -1/128 (pow (PI) 3)) (* 1/192 (pow (PI) 3))))) (* 1/128 (pow (PI) 3)))) (pow (PI) 2))) (+ (* 16 (/ (pow (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) 3) (pow (PI) 3))) (* 24 (/ (- (* 1/2 (+ (* -1/4 (* (PI) (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (+ (* -1/128 (pow (PI) 3)) (* 1/384 (pow (PI) 3)))))) (+ (* -1/32 (* (pow (PI) 2) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (+ (* -1/1536 (pow (PI) 4)) (* 1/3072 (pow (PI) 4)))))) (+ (* -1/8 (* (PI) (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (* -1/128 (pow (PI) 3))))) (* 1/64 (* (pow (PI) 2) (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))))))) (PI)))))) (PI))) (* 2 (/ (+ (* -4 (/ (pow (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) 2) (pow (PI) 2))) (* 8 (/ (- (* 1/2 (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (+ (* -1/128 (pow (PI) 3)) (* 1/192 (pow (PI) 3))))) (* 1/128 (pow (PI) 3))) (PI)))) (PI))))))))>
#<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 (* 4 (+ (log f) (log (* 1/4 (PI)))))>
#<alt (+ (* 4 (+ (log f) (log (* 1/4 (PI))))) (* 8 (/ (* f (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2)))) (PI))))>
#<alt (+ (* 4 (+ (log f) (log (* 1/4 (PI))))) (* f (+ (* 2 (* f (+ (* -4 (/ (pow (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) 2) (pow (PI) 2))) (* 8 (/ (- (* 1/2 (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (+ (* -1/128 (pow (PI) 3)) (* 1/192 (pow (PI) 3))))) (* 1/128 (pow (PI) 3))) (PI)))))) (* 8 (/ (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) (PI))))))>
#<alt (+ (* 4 (+ (log f) (log (* 1/4 (PI))))) (* f (+ (* 8 (/ (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) (PI))) (* f (+ (* 2/3 (* f (+ (* -48 (/ (* (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) (- (* 1/2 (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (+ (* -1/128 (pow (PI) 3)) (* 1/192 (pow (PI) 3))))) (* 1/128 (pow (PI) 3)))) (pow (PI) 2))) (+ (* 16 (/ (pow (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) 3) (pow (PI) 3))) (* 24 (/ (- (* 1/2 (+ (* -1/4 (* (PI) (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (+ (* -1/128 (pow (PI) 3)) (* 1/384 (pow (PI) 3)))))) (+ (* -1/32 (* (pow (PI) 2) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (+ (* -1/1536 (pow (PI) 4)) (* 1/3072 (pow (PI) 4)))))) (+ (* -1/8 (* (PI) (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (* -1/128 (pow (PI) 3))))) (* 1/64 (* (pow (PI) 2) (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))))))) (PI))))))) (* 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 (* 4 (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 (/ (- (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 (/ (- (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 (/ (- (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 (/ (- (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 (/ (- (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 (/ (- (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 (/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))))>
#<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))))))))>
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#<alt (/ 1/4 (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 (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 (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 (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 (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 (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))) (* 8 (/ (* f (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2)))) (pow (PI) 2))))>
#<alt (+ (* 4 (/ (+ (log f) (log (* 1/4 (PI)))) (PI))) (* f (+ (* 2 (/ (* f (+ (* -4 (/ (pow (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) 2) (pow (PI) 2))) (* 8 (/ (- (* 1/2 (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (+ (* -1/128 (pow (PI) 3)) (* 1/192 (pow (PI) 3))))) (* 1/128 (pow (PI) 3))) (PI))))) (PI))) (* 8 (/ (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) (pow (PI) 2))))))>
#<alt (+ (* 4 (/ (+ (log f) (log (* 1/4 (PI)))) (PI))) (* f (+ (* 8 (/ (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) (pow (PI) 2))) (* f (+ (* 2/3 (/ (* f (+ (* -48 (/ (* (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) (- (* 1/2 (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (+ (* -1/128 (pow (PI) 3)) (* 1/192 (pow (PI) 3))))) (* 1/128 (pow (PI) 3)))) (pow (PI) 2))) (+ (* 16 (/ (pow (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) 3) (pow (PI) 3))) (* 24 (/ (- (* 1/2 (+ (* -1/4 (* (PI) (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (+ (* -1/128 (pow (PI) 3)) (* 1/384 (pow (PI) 3)))))) (+ (* -1/32 (* (pow (PI) 2) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (+ (* -1/1536 (pow (PI) 4)) (* 1/3072 (pow (PI) 4)))))) (+ (* -1/8 (* (PI) (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (* -1/128 (pow (PI) 3))))) (* 1/64 (* (pow (PI) 2) (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))))))) (PI)))))) (PI))) (* 2 (/ (+ (* -4 (/ (pow (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) 2) (pow (PI) 2))) (* 8 (/ (- (* 1/2 (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (+ (* -1/128 (pow (PI) 3)) (* 1/192 (pow (PI) 3))))) (* 1/128 (pow (PI) 3))) (PI)))) (PI))))))))>
#<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 (/ (PI) (+ (log f) (log (* 1/4 (PI))))))>
#<alt (+ (* -1/2 (/ (* f (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2)))) (pow (+ (log f) (log (* 1/4 (PI)))) 2))) (* 1/4 (/ (PI) (+ (log f) (log (* 1/4 (PI)))))))>
#<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))) (* -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)))))))))>
#<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 (* 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 (* 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)))>
Calls

51 calls:

TimeVariablePointExpression
22.0ms
f
@-inf
(neg (/ (log (* 1/4 (* (PI) f))) (* (PI) -1/4)))
14.0ms
f
@0
(neg (/ (log (* 1/4 (* (PI) f))) (* (PI) -1/4)))
6.0ms
f
@inf
(neg (/ (log (* 1/4 (* (PI) f))) (* (PI) -1/4)))
2.0ms
f
@0
(/ 1/4 (log (tanh (* 1/4 (* (PI) f)))))
1.0ms
f
@0
(* (log (tanh (* 1/4 (* (PI) f)))) 4)

rewrite375.0ms (2%)

Memory
-20.0MiB live, 606.1MiB allocated
Algorithm
batch-egg-rewrite
Rules
5 602×*-lowering-*.f32
5 602×*-lowering-*.f64
2 994×/-lowering-/.f32
2 994×/-lowering-/.f64
1 752×accelerator-lowering-fma.f32
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
041175
1211157
21170157
08589157
Stop Event
iter limit
node limit
Counts
23 → 2 090
Calls
Call 1
Inputs
(/ (* (log (tanh (* 1/4 (* (PI) f)))) 4) (PI))
(* (log (tanh (* 1/4 (* (PI) f)))) 4)
(log (tanh (* 1/4 (* (PI) f))))
(tanh (* 1/4 (* (PI) f)))
(neg (/ (log (* 1/4 (* (PI) f))) (* (PI) -1/4)))
(/ (log (* 1/4 (* (PI) f))) (* (PI) -1/4))
(log (* 1/4 (* (PI) f)))
(* 1/4 (* (PI) f))
(* (* 1/4 (sqrt (PI))) (sqrt (PI)))
(/ 1 (* (* 1/4 (sqrt (PI))) (sqrt (PI))))
(/ 2 (* f (* (PI) 1/2)))
(log (/ 2 (* f (* (PI) 1/2))))
(/ 1 (* (/ 1/4 (log (tanh (* 1/4 (* (PI) f))))) (PI)))
(* (/ 1/4 (log (tanh (* 1/4 (* (PI) f))))) (PI))
(/ 1/4 (log (tanh (* 1/4 (* (PI) f)))))
(/ 1 (/ (* (* (sqrt (* (PI) (sqrt (PI)))) (sqrt (sqrt (PI)))) 1/4) (log (tanh (* (* (PI) 1/4) f)))))
(/ (* (* (sqrt (* (PI) (sqrt (PI)))) (sqrt (sqrt (PI)))) 1/4) (log (tanh (* (* (PI) 1/4) f))))
(* (* (sqrt (* (PI) (sqrt (PI)))) (sqrt (sqrt (PI)))) 1/4)
(* (sqrt (* (PI) (sqrt (PI)))) (sqrt (sqrt (PI))))
(PI)
(* (PI) f)
(sqrt (PI))
(* (/ 1 (* (* 1/4 (sqrt (PI))) (sqrt (PI)))) (log (/ 2 (* f (* (PI) 1/2)))))
Outputs
(exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (log.f64 (tanh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64))))))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 (log.f64 (tanh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64))))) (*.f64 (PI.f64) #s(literal -1/4 binary64))))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (PI.f64))) (/.f64 (log.f64 (tanh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64))))) (*.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 f (*.f64 #s(literal 1/4 binary64) (PI.f64))))) (*.f64 (PI.f64) #s(literal -1/4 binary64))))
(-.f64 (/.f64 (log.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))))) (*.f64 #s(literal 1/4 binary64) (PI.f64))) (/.f64 (log.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))))) (*.f64 #s(literal 1/4 binary64) (PI.f64))))
(-.f64 (/.f64 (log.f64 (expm1.f64 (*.f64 (PI.f64) (*.f64 f #s(literal 1/2 binary64))))) (*.f64 #s(literal 1/4 binary64) (PI.f64))) (/.f64 (log1p.f64 (exp.f64 (*.f64 (PI.f64) (*.f64 f #s(literal 1/2 binary64))))) (*.f64 #s(literal 1/4 binary64) (PI.f64))))
(-.f64 (/.f64 (log1p.f64 (neg.f64 (exp.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal -1/2 binary64))))) (*.f64 #s(literal 1/4 binary64) (PI.f64))) (/.f64 (log1p.f64 (exp.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal -1/2 binary64)))) (*.f64 #s(literal 1/4 binary64) (PI.f64))))
(neg.f64 (/.f64 (log.f64 (tanh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64))))) (*.f64 (PI.f64) #s(literal -1/4 binary64))))
(neg.f64 (/.f64 (/.f64 (log.f64 (tanh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64))))) (*.f64 (PI.f64) #s(literal -1/4 binary64))) #s(literal 1 binary64)))
(/.f64 (log.f64 (tanh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64))))) (*.f64 #s(literal 1/4 binary64) (PI.f64)))
(/.f64 #s(literal 4 binary64) (/.f64 (PI.f64) (log.f64 (tanh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))))))
(/.f64 #s(literal 4 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (log.f64 (tanh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))))) (PI.f64)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (log.f64 (tanh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1/4 binary64) (log.f64 (tanh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))))) (/.f64 #s(literal 1 binary64) (PI.f64))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/4 binary64) (/.f64 (log.f64 (tanh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64))))) (PI.f64))))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (PI.f64)) (*.f64 (log.f64 (tanh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64))))) (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (cbrt.f64 (PI.f64)) (/.f64 (*.f64 (log.f64 (tanh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64))))) #s(literal 4 binary64)) (pow.f64 (PI.f64) #s(literal 2/3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 1/4 binary64) (sqrt.f64 (sqrt.f64 (PI.f64)))) (/.f64 (log.f64 (tanh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64))))) (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))))))
(/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (/.f64 #s(literal 1 binary64) (log.f64 (tanh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))))))
(/.f64 #s(literal -1 binary64) (/.f64 (*.f64 (PI.f64) #s(literal -1/4 binary64)) (log.f64 (tanh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))))))
(/.f64 (neg.f64 (log.f64 (tanh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))))) (*.f64 (PI.f64) #s(literal -1/4 binary64)))
(/.f64 (*.f64 (log.f64 (tanh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64))))) #s(literal -4 binary64)) (neg.f64 (PI.f64)))
(/.f64 (/.f64 (log.f64 (tanh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64))))) (*.f64 #s(literal 1/4 binary64) (PI.f64))) #s(literal 1 binary64))
(/.f64 (/.f64 #s(literal -4 binary64) (PI.f64)) (/.f64 #s(literal -1 binary64) (log.f64 (tanh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))))))
(/.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) (/.f64 #s(literal 1/4 binary64) (log.f64 (tanh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))))))
(/.f64 (*.f64 (log.f64 (tanh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64))))) #s(literal 4 binary64)) (PI.f64))
(/.f64 (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64))) (/.f64 (sqrt.f64 (PI.f64)) (log.f64 (tanh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))))))
(/.f64 (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64))) (*.f64 (/.f64 #s(literal 1 binary64) (log.f64 (tanh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))))) (sqrt.f64 (PI.f64))))
(/.f64 #s(literal -4 binary64) (*.f64 (neg.f64 (PI.f64)) (/.f64 #s(literal 1 binary64) (log.f64 (tanh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64))))))))
(/.f64 #s(literal -4 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (log.f64 (tanh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))))) (neg.f64 (PI.f64))))
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simplify316.0ms (1.7%)

Memory
6.7MiB live, 561.6MiB allocated
Algorithm
egg-herbie
Rules
7 954×accelerator-lowering-fma.f32
7 954×accelerator-lowering-fma.f64
4 164×+-lowering-+.f64
4 164×+-lowering-+.f32
2 688×*-lowering-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02886507
19275484
239254399
089894270
Stop Event
iter limit
node limit
Counts
204 → 204
Calls
Call 1
Inputs
(* 4 (/ (+ (log f) (log (* 1/4 (PI)))) (PI)))
(+ (* 4 (/ (+ (log f) (log (* 1/4 (PI)))) (PI))) (* 8 (/ (* f (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2)))) (pow (PI) 2))))
(+ (* 4 (/ (+ (log f) (log (* 1/4 (PI)))) (PI))) (* f (+ (* 2 (/ (* f (+ (* -4 (/ (pow (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) 2) (pow (PI) 2))) (* 8 (/ (- (* 1/2 (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (+ (* -1/128 (pow (PI) 3)) (* 1/192 (pow (PI) 3))))) (* 1/128 (pow (PI) 3))) (PI))))) (PI))) (* 8 (/ (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) (pow (PI) 2))))))
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(* 1/4 (/ (PI) (log (/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI))))))))))
(/.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (log.f64 (/.f64 (-.f64 (exp.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 f (PI.f64)))) (exp.f64 (*.f64 (PI.f64) (*.f64 f #s(literal -1/4 binary64))))) (+.f64 (exp.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 f (PI.f64)))) (exp.f64 (*.f64 (PI.f64) (*.f64 f #s(literal -1/4 binary64))))))))
(* 1/4 (/ (PI) (log (/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI))))))))))
(/.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (log.f64 (/.f64 (-.f64 (exp.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 f (PI.f64)))) (exp.f64 (*.f64 (PI.f64) (*.f64 f #s(literal -1/4 binary64))))) (+.f64 (exp.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 f (PI.f64)))) (exp.f64 (*.f64 (PI.f64) (*.f64 f #s(literal -1/4 binary64))))))))
(* 1/4 (/ (PI) (log (/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI))))))))))
(/.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (log.f64 (/.f64 (-.f64 (exp.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 f (PI.f64)))) (exp.f64 (*.f64 (PI.f64) (*.f64 f #s(literal -1/4 binary64))))) (+.f64 (exp.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 f (PI.f64)))) (exp.f64 (*.f64 (PI.f64) (*.f64 f #s(literal -1/4 binary64))))))))
(* 1/4 (/ (PI) (log (/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI))))))))))
(/.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (log.f64 (/.f64 (-.f64 (exp.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 f (PI.f64)))) (exp.f64 (*.f64 (PI.f64) (*.f64 f #s(literal -1/4 binary64))))) (+.f64 (exp.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 f (PI.f64)))) (exp.f64 (*.f64 (PI.f64) (*.f64 f #s(literal -1/4 binary64))))))))
(* f (PI))
(*.f64 f (PI.f64))
(* f (PI))
(*.f64 f (PI.f64))
(* f (PI))
(*.f64 f (PI.f64))
(* f (PI))
(*.f64 f (PI.f64))
(* f (PI))
(*.f64 f (PI.f64))
(* f (PI))
(*.f64 f (PI.f64))
(* f (PI))
(*.f64 f (PI.f64))
(* f (PI))
(*.f64 f (PI.f64))
(* f (PI))
(*.f64 f (PI.f64))
(* f (PI))
(*.f64 f (PI.f64))
(* f (PI))
(*.f64 f (PI.f64))
(* f (PI))
(*.f64 f (PI.f64))
(* 4 (/ (+ (log (/ 4 (PI))) (* -1 (log f))) (PI)))
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (log.f64 f))) (PI.f64))
(* 4 (/ (+ (log (/ 4 (PI))) (* -1 (log f))) (PI)))
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (log.f64 f))) (PI.f64))
(* 4 (/ (+ (log (/ 4 (PI))) (* -1 (log f))) (PI)))
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (log.f64 f))) (PI.f64))
(* 4 (/ (+ (log (/ 4 (PI))) (* -1 (log f))) (PI)))
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (log.f64 f))) (PI.f64))
(* 4 (/ (+ (log (/ 1 f)) (log (/ 4 (PI)))) (PI)))
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (log.f64 f))) (PI.f64))
(* 4 (/ (+ (log (/ 1 f)) (log (/ 4 (PI)))) (PI)))
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (log.f64 f))) (PI.f64))
(* 4 (/ (+ (log (/ 1 f)) (log (/ 4 (PI)))) (PI)))
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (log.f64 f))) (PI.f64))
(* 4 (/ (+ (log (/ 1 f)) (log (/ 4 (PI)))) (PI)))
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (log.f64 f))) (PI.f64))
(* 4 (/ (+ (log (/ -4 (PI))) (log (/ -1 f))) (PI)))
(/.f64 (*.f64 #s(literal 4 binary64) (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) f)) (log.f64 (/.f64 #s(literal -4 binary64) (PI.f64))))) (PI.f64))
(* 4 (/ (+ (log (/ -4 (PI))) (log (/ -1 f))) (PI)))
(/.f64 (*.f64 #s(literal 4 binary64) (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) f)) (log.f64 (/.f64 #s(literal -4 binary64) (PI.f64))))) (PI.f64))
(* 4 (/ (+ (log (/ -4 (PI))) (log (/ -1 f))) (PI)))
(/.f64 (*.f64 #s(literal 4 binary64) (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) f)) (log.f64 (/.f64 #s(literal -4 binary64) (PI.f64))))) (PI.f64))
(* 4 (/ (+ (log (/ -4 (PI))) (log (/ -1 f))) (PI)))
(/.f64 (*.f64 #s(literal 4 binary64) (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) f)) (log.f64 (/.f64 #s(literal -4 binary64) (PI.f64))))) (PI.f64))

eval878.0ms (4.6%)

Memory
-60.8MiB live, 1 155.9MiB allocated
Compiler

Compiled 76 460 to 10 000 computations (86.9% saved)

prune340.0ms (1.8%)

Memory
26.3MiB live, 633.3MiB allocated
Pruning

29 alts after pruning (26 fresh and 3 done)

PrunedKeptTotal
New3 537223 559
Fresh13417
Picked235
Done000
Total3 552293 581
Accuracy
100.0%
Counts
3 581 → 29
Alt Table
Click to see full alt table
StatusAccuracyProgram
97.7%
(fma.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (log.f64 (*.f64 (tanh.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f))) #s(literal 2 binary64))) (/.f64 (log.f64 #s(literal 2 binary64)) (*.f64 (PI.f64) #s(literal -1/4 binary64))))
7.9%
(/.f64 (*.f64 (-.f64 (log1p.f64 (neg.f64 (exp.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal -1/2 binary64))))) (log1p.f64 (exp.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal -1/2 binary64))))) #s(literal 4 binary64)) (PI.f64))
4.9%
(/.f64 (*.f64 (log.f64 (/.f64 (-.f64 (cosh.f64 (*.f64 (PI.f64) (*.f64 f #s(literal 1/2 binary64)))) #s(literal 1 binary64)) (sinh.f64 (*.f64 (PI.f64) (*.f64 f #s(literal 1/2 binary64)))))) #s(literal 4 binary64)) (PI.f64))
96.8%
(/.f64 (*.f64 (log.f64 (*.f64 f (fma.f64 (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 f f) (*.f64 #s(literal 1/4 binary64) (PI.f64))))) #s(literal 4 binary64)) (PI.f64))
96.6%
(/.f64 (*.f64 (log.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 f (PI.f64)))) #s(literal 4 binary64)) (PI.f64))
97.9%
(/.f64 (*.f64 (log.f64 (tanh.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f)))) #s(literal 4 binary64)) (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))))
99.0%
(/.f64 (*.f64 (log.f64 (tanh.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f)))) #s(literal 4 binary64)) (PI.f64))
96.4%
(/.f64 (neg.f64 (*.f64 (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64))) (log.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))))) (neg.f64 (sqrt.f64 (PI.f64))))
98.6%
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64)))) #s(literal 1/4 binary64)) (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))))
96.5%
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (log.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64))))))
96.5%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/4 binary64) (/.f64 (log.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))) (PI.f64))))
7.9%
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 (log1p.f64 (neg.f64 (exp.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal -1/2 binary64))))) (log1p.f64 (exp.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal -1/2 binary64)))))) (PI.f64)))
96.6%
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1/4 binary64) (log.f64 (*.f64 f (fma.f64 (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 f f) (*.f64 #s(literal 1/4 binary64) (PI.f64)))))) (PI.f64)))
96.4%
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1/4 binary64) (log.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 f (PI.f64))))) (PI.f64)))
98.8%
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1/4 binary64) (log.f64 (tanh.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f))))) (PI.f64)))
96.6%
(*.f64 (/.f64 (neg.f64 (log.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64))))) (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64))))) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/4 binary64) (sqrt.f64 (sqrt.f64 (PI.f64))))))
96.4%
(*.f64 (/.f64 (log.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))) (sqrt.f64 (PI.f64))) (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64))))
99.0%
(*.f64 (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64))) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64))) (log.f64 (tanh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))))))
96.5%
(*.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (log.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))))
96.3%
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64))))) (/.f64 (log.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))) (*.f64 #s(literal 1/4 binary64) (sqrt.f64 (sqrt.f64 (PI.f64))))))
97.9%
(neg.f64 (/.f64 (fma.f64 (log.f64 (*.f64 (tanh.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f))) #s(literal 2 binary64))) (*.f64 (PI.f64) #s(literal -1/4 binary64)) (*.f64 (*.f64 (PI.f64) #s(literal -1/4 binary64)) (log.f64 #s(literal 1/2 binary64)))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/16 binary64))))
96.6%
(neg.f64 (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (log.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))))) (*.f64 (PI.f64) #s(literal -1/4 binary64))))
96.6%
(neg.f64 (/.f64 (log.f64 (*.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (PI.f64)))) (*.f64 (PI.f64) #s(literal -1/4 binary64))))
95.5%
(neg.f64 (/.f64 (log.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f))) (*.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))) #s(literal -1/4 binary64))))
95.7%
(neg.f64 (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (PI.f64)) (/.f64 (log.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))) (*.f64 #s(literal -1/4 binary64) (sqrt.f64 (PI.f64)))))))
96.6%
(neg.f64 (*.f64 (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64))) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64))) (neg.f64 (log.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64))))))))
96.9%
(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 #s(literal 1/16 binary64) (+.f64 (PI.f64) (PI.f64)) (*.f64 (*.f64 #s(literal 1/192 binary64) (*.f64 #s(literal 2 binary64) (+.f64 (PI.f64) (PI.f64)))) #s(literal -2 binary64)))) (/.f64 #s(literal 4 binary64) (PI.f64))) f))))
95.2%
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 1/4 binary64) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)))) (neg.f64 (log.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))))))
96.2%
(neg.f64 (*.f64 (*.f64 (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64)))) (log.f64 (/.f64 #s(literal 2 binary64) (*.f64 f (*.f64 (PI.f64) #s(literal 1/2 binary64)))))))
Compiler

Compiled 1 052 to 769 computations (26.9% saved)

simplify160.0ms (0.8%)

Memory
-2.5MiB live, 151.9MiB allocated
Algorithm
egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(neg.f64 (log.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))))
cost-diff0
(/.f64 (neg.f64 (log.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64))))) (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))))
cost-diff320
(/.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/4 binary64) (sqrt.f64 (sqrt.f64 (PI.f64)))))
cost-diff512
(*.f64 (/.f64 (neg.f64 (log.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64))))) (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64))))) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/4 binary64) (sqrt.f64 (sqrt.f64 (PI.f64))))))
cost-diff0
(sqrt.f64 (PI.f64))
cost-diff128
(neg.f64 (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (PI.f64)) (/.f64 (log.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))) (*.f64 #s(literal -1/4 binary64) (sqrt.f64 (PI.f64)))))))
cost-diff704
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (PI.f64)) (/.f64 (log.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))) (*.f64 #s(literal -1/4 binary64) (sqrt.f64 (PI.f64))))))
cost-diff1984
(/.f64 (sqrt.f64 (PI.f64)) (/.f64 (log.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))) (*.f64 #s(literal -1/4 binary64) (sqrt.f64 (PI.f64)))))
cost-diff0
(log.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f)))
cost-diff0
(/.f64 (log.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f))) (*.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))) #s(literal -1/4 binary64)))
cost-diff128
(neg.f64 (/.f64 (log.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f))) (*.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))) #s(literal -1/4 binary64))))
cost-diff1600
(*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)))
cost-diff0
(log.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64))))
cost-diff0
(PI.f64)
cost-diff0
(/.f64 #s(literal 4 binary64) (PI.f64))
cost-diff0
(*.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (log.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))))
cost-diff0
(sqrt.f64 (PI.f64))
cost-diff0
(/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64)))
cost-diff320
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64))) (log.f64 (tanh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64))))))
cost-diff1984
(*.f64 (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64))) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64))) (log.f64 (tanh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))))))
Rules
2 920×*-lowering-*.f32
2 920×*-lowering-*.f64
2 742×accelerator-lowering-fma.f32
2 742×accelerator-lowering-fma.f64
1 460×/-lowering-/.f32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
038292
1120284
2360279
31150279
43049279
56107279
08005279
Stop Event
iter limit
node limit
Calls
Call 1
Inputs
(* (/ 4 (sqrt (PI))) (* (/ 1 (sqrt (PI))) (log (tanh (* f (* 1/4 (PI)))))))
(/ 4 (sqrt (PI)))
4
(sqrt (PI))
(PI)
(* (/ 1 (sqrt (PI))) (log (tanh (* f (* 1/4 (PI))))))
(/ 1 (sqrt (PI)))
1
(log (tanh (* f (* 1/4 (PI)))))
(tanh (* f (* 1/4 (PI))))
(* f (* 1/4 (PI)))
f
(* 1/4 (PI))
1/4
(* (/ 4 (PI)) (log (* f (* 1/4 (PI)))))
(/ 4 (PI))
4
(PI)
(log (* f (* 1/4 (PI))))
(* f (* 1/4 (PI)))
f
(* 1/4 (PI))
1/4
(neg (/ (log (* 1/4 (* (PI) f))) (* (* (sqrt (PI)) (sqrt (PI))) -1/4)))
(/ (log (* 1/4 (* (PI) f))) (* (* (sqrt (PI)) (sqrt (PI))) -1/4))
(log (* 1/4 (* (PI) f)))
(* 1/4 (* (PI) f))
1/4
(* (PI) f)
(PI)
f
(* (* (sqrt (PI)) (sqrt (PI))) -1/4)
(* (sqrt (PI)) (sqrt (PI)))
(sqrt (PI))
-1/4
(neg (/ 1 (/ (sqrt (PI)) (/ (log (* f (* 1/4 (PI)))) (* -1/4 (sqrt (PI)))))))
(/ 1 (/ (sqrt (PI)) (/ (log (* f (* 1/4 (PI)))) (* -1/4 (sqrt (PI))))))
1
(/ (sqrt (PI)) (/ (log (* f (* 1/4 (PI)))) (* -1/4 (sqrt (PI)))))
(sqrt (PI))
(PI)
(/ (log (* f (* 1/4 (PI)))) (* -1/4 (sqrt (PI))))
(log (* f (* 1/4 (PI))))
(* f (* 1/4 (PI)))
f
(* 1/4 (PI))
1/4
(* -1/4 (sqrt (PI)))
-1/4
(* (/ (neg (log (* f (* 1/4 (PI))))) (sqrt (* (PI) (sqrt (PI))))) (/ 1 (* -1/4 (sqrt (sqrt (PI))))))
(/ (neg (log (* f (* 1/4 (PI))))) (sqrt (* (PI) (sqrt (PI)))))
(neg (log (* f (* 1/4 (PI)))))
(log (* f (* 1/4 (PI))))
(* f (* 1/4 (PI)))
f
(* 1/4 (PI))
1/4
(PI)
(sqrt (* (PI) (sqrt (PI))))
(* (PI) (sqrt (PI)))
(sqrt (PI))
(/ 1 (* -1/4 (sqrt (sqrt (PI)))))
1
(* -1/4 (sqrt (sqrt (PI))))
-1/4
(sqrt (sqrt (PI)))
Outputs
(* (/ 4 (sqrt (PI))) (* (/ 1 (sqrt (PI))) (log (tanh (* f (* 1/4 (PI)))))))
(/.f64 (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 f #s(literal 1/4 binary64))))) (*.f64 (PI.f64) #s(literal 1/4 binary64)))
(/ 4 (sqrt (PI)))
(/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64)))
4
#s(literal 4 binary64)
(sqrt (PI))
(sqrt.f64 (PI.f64))
(PI)
(PI.f64)
(* (/ 1 (sqrt (PI))) (log (tanh (* f (* 1/4 (PI))))))
(/.f64 (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 f #s(literal 1/4 binary64))))) (sqrt.f64 (PI.f64)))
(/ 1 (sqrt (PI)))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64)))
1
#s(literal 1 binary64)
(log (tanh (* f (* 1/4 (PI)))))
(log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 f #s(literal 1/4 binary64)))))
(tanh (* f (* 1/4 (PI))))
(tanh.f64 (*.f64 (PI.f64) (*.f64 f #s(literal 1/4 binary64))))
(* f (* 1/4 (PI)))
(*.f64 (PI.f64) (*.f64 f #s(literal 1/4 binary64)))
f
(* 1/4 (PI))
(*.f64 (PI.f64) #s(literal 1/4 binary64))
1/4
#s(literal 1/4 binary64)
(* (/ 4 (PI)) (log (* f (* 1/4 (PI)))))
(/.f64 (log.f64 (*.f64 (PI.f64) (*.f64 f #s(literal 1/4 binary64)))) (*.f64 (PI.f64) #s(literal 1/4 binary64)))
(/ 4 (PI))
(/.f64 #s(literal 4 binary64) (PI.f64))
4
#s(literal 4 binary64)
(PI)
(PI.f64)
(log (* f (* 1/4 (PI))))
(log.f64 (*.f64 (PI.f64) (*.f64 f #s(literal 1/4 binary64))))
(* f (* 1/4 (PI)))
(*.f64 (PI.f64) (*.f64 f #s(literal 1/4 binary64)))
f
(* 1/4 (PI))
(*.f64 (PI.f64) #s(literal 1/4 binary64))
1/4
#s(literal 1/4 binary64)
(neg (/ (log (* 1/4 (* (PI) f))) (* (* (sqrt (PI)) (sqrt (PI))) -1/4)))
(/.f64 (log.f64 (*.f64 (PI.f64) (*.f64 f #s(literal 1/4 binary64)))) (*.f64 (PI.f64) #s(literal 1/4 binary64)))
(/ (log (* 1/4 (* (PI) f))) (* (* (sqrt (PI)) (sqrt (PI))) -1/4))
(/.f64 (log.f64 (*.f64 (PI.f64) (*.f64 f #s(literal 1/4 binary64)))) (*.f64 (PI.f64) #s(literal -1/4 binary64)))
(log (* 1/4 (* (PI) f)))
(log.f64 (*.f64 (PI.f64) (*.f64 f #s(literal 1/4 binary64))))
(* 1/4 (* (PI) f))
(*.f64 (PI.f64) (*.f64 f #s(literal 1/4 binary64)))
1/4
#s(literal 1/4 binary64)
(* (PI) f)
(*.f64 (PI.f64) f)
(PI)
(PI.f64)
f
(* (* (sqrt (PI)) (sqrt (PI))) -1/4)
(*.f64 (PI.f64) #s(literal -1/4 binary64))
(* (sqrt (PI)) (sqrt (PI)))
(PI.f64)
(sqrt (PI))
(sqrt.f64 (PI.f64))
-1/4
#s(literal -1/4 binary64)
(neg (/ 1 (/ (sqrt (PI)) (/ (log (* f (* 1/4 (PI)))) (* -1/4 (sqrt (PI)))))))
(/.f64 (log.f64 (*.f64 (PI.f64) (*.f64 f #s(literal 1/4 binary64)))) (*.f64 (PI.f64) #s(literal 1/4 binary64)))
(/ 1 (/ (sqrt (PI)) (/ (log (* f (* 1/4 (PI)))) (* -1/4 (sqrt (PI))))))
(/.f64 (log.f64 (*.f64 (PI.f64) (*.f64 f #s(literal 1/4 binary64)))) (*.f64 (PI.f64) #s(literal -1/4 binary64)))
1
#s(literal 1 binary64)
(/ (sqrt (PI)) (/ (log (* f (* 1/4 (PI)))) (* -1/4 (sqrt (PI)))))
(/.f64 (*.f64 (PI.f64) #s(literal -1/4 binary64)) (log.f64 (*.f64 (PI.f64) (*.f64 f #s(literal 1/4 binary64)))))
(sqrt (PI))
(sqrt.f64 (PI.f64))
(PI)
(PI.f64)
(/ (log (* f (* 1/4 (PI)))) (* -1/4 (sqrt (PI))))
(/.f64 (log.f64 (*.f64 (PI.f64) (*.f64 f #s(literal 1/4 binary64)))) (*.f64 (sqrt.f64 (PI.f64)) #s(literal -1/4 binary64)))
(log (* f (* 1/4 (PI))))
(log.f64 (*.f64 (PI.f64) (*.f64 f #s(literal 1/4 binary64))))
(* f (* 1/4 (PI)))
(*.f64 (PI.f64) (*.f64 f #s(literal 1/4 binary64)))
f
(* 1/4 (PI))
(*.f64 (PI.f64) #s(literal 1/4 binary64))
1/4
#s(literal 1/4 binary64)
(* -1/4 (sqrt (PI)))
(*.f64 (sqrt.f64 (PI.f64)) #s(literal -1/4 binary64))
-1/4
#s(literal -1/4 binary64)
(* (/ (neg (log (* f (* 1/4 (PI))))) (sqrt (* (PI) (sqrt (PI))))) (/ 1 (* -1/4 (sqrt (sqrt (PI))))))
(/.f64 (*.f64 #s(literal 4 binary64) (log.f64 (*.f64 (PI.f64) (*.f64 f #s(literal 1/4 binary64))))) (*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64)))))
(/ (neg (log (* f (* 1/4 (PI))))) (sqrt (* (PI) (sqrt (PI)))))
(/.f64 (neg.f64 (log.f64 (*.f64 (PI.f64) (*.f64 f #s(literal 1/4 binary64))))) (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))))
(neg (log (* f (* 1/4 (PI)))))
(neg.f64 (log.f64 (*.f64 (PI.f64) (*.f64 f #s(literal 1/4 binary64)))))
(log (* f (* 1/4 (PI))))
(log.f64 (*.f64 (PI.f64) (*.f64 f #s(literal 1/4 binary64))))
(* f (* 1/4 (PI)))
(*.f64 (PI.f64) (*.f64 f #s(literal 1/4 binary64)))
f
(* 1/4 (PI))
(*.f64 (PI.f64) #s(literal 1/4 binary64))
1/4
#s(literal 1/4 binary64)
(PI)
(PI.f64)
(sqrt (* (PI) (sqrt (PI))))
(sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64))))
(* (PI) (sqrt (PI)))
(*.f64 (PI.f64) (sqrt.f64 (PI.f64)))
(sqrt (PI))
(sqrt.f64 (PI.f64))
(/ 1 (* -1/4 (sqrt (sqrt (PI)))))
(/.f64 #s(literal -4 binary64) (sqrt.f64 (sqrt.f64 (PI.f64))))
1
#s(literal 1 binary64)
(* -1/4 (sqrt (sqrt (PI))))
(*.f64 #s(literal -1/4 binary64) (sqrt.f64 (sqrt.f64 (PI.f64))))
-1/4
#s(literal -1/4 binary64)
(sqrt (sqrt (PI)))
(sqrt.f64 (sqrt.f64 (PI.f64)))

localize182.0ms (1%)

Memory
-16.4MiB live, 221.5MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy99.6%
(/.f64 (neg.f64 (log.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64))))) (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))))
accuracy99.5%
(*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))
accuracy99.5%
(*.f64 (/.f64 (neg.f64 (log.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64))))) (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64))))) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/4 binary64) (sqrt.f64 (sqrt.f64 (PI.f64))))))
accuracy98.4%
(sqrt.f64 (PI.f64))
accuracy99.5%
(*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))
accuracy99.5%
(/.f64 (log.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))) (*.f64 #s(literal -1/4 binary64) (sqrt.f64 (PI.f64))))
accuracy99.4%
(/.f64 (sqrt.f64 (PI.f64)) (/.f64 (log.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))) (*.f64 #s(literal -1/4 binary64) (sqrt.f64 (PI.f64)))))
accuracy98.4%
(sqrt.f64 (PI.f64))
accuracy99.5%
(*.f64 (PI.f64) f)
accuracy99.5%
(/.f64 (log.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f))) (*.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))) #s(literal -1/4 binary64)))
accuracy98.4%
(*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)))
accuracy98.4%
(sqrt.f64 (PI.f64))
accuracy100.0%
(PI.f64)
accuracy100.0%
(log.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64))))
accuracy99.5%
(*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))
accuracy99.3%
(*.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (log.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))))
accuracy99.6%
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64))) (log.f64 (tanh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64))))))
accuracy99.5%
(*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))
accuracy99.5%
(log.f64 (tanh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))))
accuracy98.4%
(sqrt.f64 (PI.f64))
Samples
92.0ms252×0valid
4.0ms2valid
1.0ms1valid
Compiler

Compiled 328 to 40 computations (87.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 65.0ms
ival-div: 19.0ms (29.1% of total)
ival-mult: 18.0ms (27.6% of total)
ival-sqrt: 11.0ms (16.9% of total)
ival-log: 10.0ms (15.3% of total)
ival-neg: 3.0ms (4.6% of total)
ival-tanh: 2.0ms (3.1% of total)
ival-pi: 1.0ms (1.5% of total)
exact: 1.0ms (1.5% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series38.0ms (0.2%)

Memory
5.7MiB live, 41.8MiB allocated
Counts
23 → 204
Calls
Call 1
Inputs
#<alt (* (/ 4 (sqrt (PI))) (* (/ 1 (sqrt (PI))) (log (tanh (* f (* 1/4 (PI)))))))>
#<alt (* (/ 1 (sqrt (PI))) (log (tanh (* f (* 1/4 (PI))))))>
#<alt (/ 4 (sqrt (PI)))>
#<alt (sqrt (PI))>
#<alt (* (/ 4 (PI)) (log (* f (* 1/4 (PI)))))>
#<alt (/ 4 (PI))>
#<alt (PI)>
#<alt (log (* f (* 1/4 (PI))))>
#<alt (* (sqrt (PI)) (sqrt (PI)))>
#<alt (neg (/ (log (* 1/4 (* (PI) f))) (* (* (sqrt (PI)) (sqrt (PI))) -1/4)))>
#<alt (/ (log (* 1/4 (* (PI) f))) (* (* (sqrt (PI)) (sqrt (PI))) -1/4))>
#<alt (log (* 1/4 (* (PI) f)))>
#<alt (/ (sqrt (PI)) (/ (log (* f (* 1/4 (PI)))) (* -1/4 (sqrt (PI)))))>
#<alt (/ 1 (/ (sqrt (PI)) (/ (log (* f (* 1/4 (PI)))) (* -1/4 (sqrt (PI))))))>
#<alt (neg (/ 1 (/ (sqrt (PI)) (/ (log (* f (* 1/4 (PI)))) (* -1/4 (sqrt (PI)))))))>
#<alt (* (/ (neg (log (* f (* 1/4 (PI))))) (sqrt (* (PI) (sqrt (PI))))) (/ 1 (* -1/4 (sqrt (sqrt (PI))))))>
#<alt (/ 1 (* -1/4 (sqrt (sqrt (PI)))))>
#<alt (/ (neg (log (* f (* 1/4 (PI))))) (sqrt (* (PI) (sqrt (PI)))))>
#<alt (neg (log (* f (* 1/4 (PI)))))>
#<alt (log (tanh (* f (* 1/4 (PI)))))>
#<alt (* f (* 1/4 (PI)))>
#<alt (* (PI) f)>
#<alt (/ (log (* f (* 1/4 (PI)))) (* -1/4 (sqrt (PI))))>
Outputs
#<alt (* 4 (/ (+ (log f) (log (* 1/4 (PI)))) (PI)))>
#<alt (+ (* 4 (/ (+ (log f) (log (* 1/4 (PI)))) (PI))) (* 8 (/ (* f (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2)))) (pow (PI) 2))))>
#<alt (+ (* 4 (/ (+ (log f) (log (* 1/4 (PI)))) (PI))) (* f (+ (* 2 (/ (* f (+ (* -4 (/ (pow (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) 2) (pow (PI) 2))) (* 8 (/ (- (* 1/2 (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (+ (* -1/128 (pow (PI) 3)) (* 1/192 (pow (PI) 3))))) (* 1/128 (pow (PI) 3))) (PI))))) (PI))) (* 8 (/ (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) (pow (PI) 2))))))>
#<alt (+ (* 4 (/ (+ (log f) (log (* 1/4 (PI)))) (PI))) (* f (+ (* 8 (/ (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) (pow (PI) 2))) (* f (+ (* 2/3 (/ (* f (+ (* -48 (/ (* (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) (- (* 1/2 (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (+ (* -1/128 (pow (PI) 3)) (* 1/192 (pow (PI) 3))))) (* 1/128 (pow (PI) 3)))) (pow (PI) 2))) (+ (* 16 (/ (pow (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) 3) (pow (PI) 3))) (* 24 (/ (- (* 1/2 (+ (* -1/4 (* (PI) (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (+ (* -1/128 (pow (PI) 3)) (* 1/384 (pow (PI) 3)))))) (+ (* -1/32 (* (pow (PI) 2) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (+ (* -1/1536 (pow (PI) 4)) (* 1/3072 (pow (PI) 4)))))) (+ (* -1/8 (* (PI) (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (* -1/128 (pow (PI) 3))))) (* 1/64 (* (pow (PI) 2) (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))))))) (PI)))))) (PI))) (* 2 (/ (+ (* -4 (/ (pow (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) 2) (pow (PI) 2))) (* 8 (/ (- (* 1/2 (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (+ (* -1/128 (pow (PI) 3)) (* 1/192 (pow (PI) 3))))) (* 1/128 (pow (PI) 3))) (PI)))) (PI))))))))>
#<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 (* (sqrt (/ 1 (PI))) (+ (log f) (log (* 1/4 (PI)))))>
#<alt (+ (* 2 (* (* f (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2)))) (sqrt (/ 1 (pow (PI) 3))))) (* (sqrt (/ 1 (PI))) (+ (log f) (log (* 1/4 (PI))))))>
#<alt (+ (* 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))))) (sqrt (/ 1 (PI))))) (* 2 (* (sqrt (/ 1 (pow (PI) 3))) (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))))))) (* (sqrt (/ 1 (PI))) (+ (log f) (log (* 1/4 (PI))))))>
#<alt (+ (* f (+ (* 2 (* (sqrt (/ 1 (pow (PI) 3))) (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))))) (* 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)))))) (sqrt (/ 1 (PI))))) (* 1/2 (* (sqrt (/ 1 (PI))) (+ (* -4 (/ (pow (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) 2) (pow (PI) 2))) (* 8 (/ (- (* 1/2 (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (+ (* -1/128 (pow (PI) 3)) (* 1/192 (pow (PI) 3))))) (* 1/128 (pow (PI) 3))) (PI)))))))))) (* (sqrt (/ 1 (PI))) (+ (log f) (log (* 1/4 (PI))))))>
#<alt (* (sqrt (/ 1 (PI))) (log (/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))))>
#<alt (* (sqrt (/ 1 (PI))) (log (/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))))>
#<alt (* (sqrt (/ 1 (PI))) (log (/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))))>
#<alt (* (sqrt (/ 1 (PI))) (log (/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))))>
#<alt (* (sqrt (/ 1 (PI))) (log (/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))))>
#<alt (* (sqrt (/ 1 (PI))) (log (/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))))>
#<alt (* (sqrt (/ 1 (PI))) (log (/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))))>
#<alt (* (sqrt (/ 1 (PI))) (log (/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))))>
#<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 (+ (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 (* 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 (+ (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 (/ (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 (* 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 (* (pow (/ 1 (pow (PI) 3)) 1/4) (+ (log f) (log (* 1/4 (PI))))))>
#<alt (* -1 (* (pow (/ 1 (pow (PI) 3)) 1/4) (+ (log f) (log (* 1/4 (PI))))))>
#<alt (* -1 (* (pow (/ 1 (pow (PI) 3)) 1/4) (+ (log f) (log (* 1/4 (PI))))))>
#<alt (* -1 (* (pow (/ 1 (pow (PI) 3)) 1/4) (+ (log f) (log (* 1/4 (PI))))))>
#<alt (* -1 (* (pow (/ 1 (pow (PI) 3)) 1/4) (+ (log (* 1/4 (PI))) (* -1 (log (/ 1 f))))))>
#<alt (* -1 (* (pow (/ 1 (pow (PI) 3)) 1/4) (+ (log (* 1/4 (PI))) (* -1 (log (/ 1 f))))))>
#<alt (* -1 (* (pow (/ 1 (pow (PI) 3)) 1/4) (+ (log (* 1/4 (PI))) (* -1 (log (/ 1 f))))))>
#<alt (* -1 (* (pow (/ 1 (pow (PI) 3)) 1/4) (+ (log (* 1/4 (PI))) (* -1 (log (/ 1 f))))))>
#<alt (* -1 (* (pow (/ 1 (pow (PI) 3)) 1/4) (+ (log (* -1/4 (PI))) (* -1 (log (/ -1 f))))))>
#<alt (* -1 (* (pow (/ 1 (pow (PI) 3)) 1/4) (+ (log (* -1/4 (PI))) (* -1 (log (/ -1 f))))))>
#<alt (* -1 (* (pow (/ 1 (pow (PI) 3)) 1/4) (+ (log (* -1/4 (PI))) (* -1 (log (/ -1 f))))))>
#<alt (* -1 (* (pow (/ 1 (pow (PI) 3)) 1/4) (+ (log (* -1/4 (PI))) (* -1 (log (/ -1 f))))))>
#<alt (* -1 (+ (log f) (log (* 1/4 (PI)))))>
#<alt (* -1 (+ (log f) (log (* 1/4 (PI)))))>
#<alt (* -1 (+ (log f) (log (* 1/4 (PI)))))>
#<alt (* -1 (+ (log f) (log (* 1/4 (PI)))))>
#<alt (* -1 (+ (log (* 1/4 (PI))) (* -1 (log (/ 1 f)))))>
#<alt (* -1 (+ (log (* 1/4 (PI))) (* -1 (log (/ 1 f)))))>
#<alt (* -1 (+ (log (* 1/4 (PI))) (* -1 (log (/ 1 f)))))>
#<alt (* -1 (+ (log (* 1/4 (PI))) (* -1 (log (/ 1 f)))))>
#<alt (* -1 (+ (log (* -1/4 (PI))) (* -1 (log (/ -1 f)))))>
#<alt (* -1 (+ (log (* -1/4 (PI))) (* -1 (log (/ -1 f)))))>
#<alt (* -1 (+ (log (* -1/4 (PI))) (* -1 (log (/ -1 f)))))>
#<alt (* -1 (+ (log (* -1/4 (PI))) (* -1 (log (/ -1 f)))))>
#<alt (+ (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 (* 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 (* 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 (* -4 (* (sqrt (/ 1 (PI))) (+ (log f) (log (* 1/4 (PI))))))>
#<alt (* -4 (* (sqrt (/ 1 (PI))) (+ (log f) (log (* 1/4 (PI))))))>
#<alt (* -4 (* (sqrt (/ 1 (PI))) (+ (log f) (log (* 1/4 (PI))))))>
#<alt (* -4 (* (sqrt (/ 1 (PI))) (+ (log f) (log (* 1/4 (PI))))))>
#<alt (* -4 (* (sqrt (/ 1 (PI))) (+ (log (* 1/4 (PI))) (* -1 (log (/ 1 f))))))>
#<alt (* -4 (* (sqrt (/ 1 (PI))) (+ (log (* 1/4 (PI))) (* -1 (log (/ 1 f))))))>
#<alt (* -4 (* (sqrt (/ 1 (PI))) (+ (log (* 1/4 (PI))) (* -1 (log (/ 1 f))))))>
#<alt (* -4 (* (sqrt (/ 1 (PI))) (+ (log (* 1/4 (PI))) (* -1 (log (/ 1 f))))))>
#<alt (* -4 (* (sqrt (/ 1 (PI))) (+ (log (* -1/4 (PI))) (* -1 (log (/ -1 f))))))>
#<alt (* -4 (* (sqrt (/ 1 (PI))) (+ (log (* -1/4 (PI))) (* -1 (log (/ -1 f))))))>
#<alt (* -4 (* (sqrt (/ 1 (PI))) (+ (log (* -1/4 (PI))) (* -1 (log (/ -1 f))))))>
#<alt (* -4 (* (sqrt (/ 1 (PI))) (+ (log (* -1/4 (PI))) (* -1 (log (/ -1 f))))))>
Calls

51 calls:

TimeVariablePointExpression
16.0ms
f
@0
(/ (neg (log (* f (* 1/4 (PI))))) (sqrt (* (PI) (sqrt (PI)))))
1.0ms
f
@-inf
(/ (sqrt (PI)) (/ (log (* f (* 1/4 (PI)))) (* -1/4 (sqrt (PI)))))
1.0ms
f
@inf
(/ (sqrt (PI)) (/ (log (* f (* 1/4 (PI)))) (* -1/4 (sqrt (PI)))))
1.0ms
f
@0
(/ (sqrt (PI)) (/ (log (* f (* 1/4 (PI)))) (* -1/4 (sqrt (PI)))))
1.0ms
f
@-inf
(/ (neg (log (* f (* 1/4 (PI))))) (sqrt (* (PI) (sqrt (PI)))))

rewrite449.0ms (2.4%)

Memory
21.2MiB live, 494.2MiB allocated
Algorithm
batch-egg-rewrite
Rules
4 898×*-lowering-*.f32
4 898×*-lowering-*.f64
2 974×/-lowering-/.f32
2 974×/-lowering-/.f64
2 044×accelerator-lowering-fma.f32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
038177
1206162
21419161
08573161
Stop Event
iter limit
node limit
Counts
23 → 2 361
Calls
Call 1
Inputs
(* (/ 4 (sqrt (PI))) (* (/ 1 (sqrt (PI))) (log (tanh (* f (* 1/4 (PI)))))))
(* (/ 1 (sqrt (PI))) (log (tanh (* f (* 1/4 (PI))))))
(/ 4 (sqrt (PI)))
(sqrt (PI))
(* (/ 4 (PI)) (log (* f (* 1/4 (PI)))))
(/ 4 (PI))
(PI)
(log (* f (* 1/4 (PI))))
(* (sqrt (PI)) (sqrt (PI)))
(neg (/ (log (* 1/4 (* (PI) f))) (* (* (sqrt (PI)) (sqrt (PI))) -1/4)))
(/ (log (* 1/4 (* (PI) f))) (* (* (sqrt (PI)) (sqrt (PI))) -1/4))
(log (* 1/4 (* (PI) f)))
(/ (sqrt (PI)) (/ (log (* f (* 1/4 (PI)))) (* -1/4 (sqrt (PI)))))
(/ 1 (/ (sqrt (PI)) (/ (log (* f (* 1/4 (PI)))) (* -1/4 (sqrt (PI))))))
(neg (/ 1 (/ (sqrt (PI)) (/ (log (* f (* 1/4 (PI)))) (* -1/4 (sqrt (PI)))))))
(* (/ (neg (log (* f (* 1/4 (PI))))) (sqrt (* (PI) (sqrt (PI))))) (/ 1 (* -1/4 (sqrt (sqrt (PI))))))
(/ 1 (* -1/4 (sqrt (sqrt (PI)))))
(/ (neg (log (* f (* 1/4 (PI))))) (sqrt (* (PI) (sqrt (PI)))))
(neg (log (* f (* 1/4 (PI)))))
(log (tanh (* f (* 1/4 (PI)))))
(* f (* 1/4 (PI)))
(* (PI) f)
(/ (log (* f (* 1/4 (PI)))) (* -1/4 (sqrt (PI))))
Outputs
(-.f64 (/.f64 (log.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 (PI.f64) (*.f64 f #s(literal 1/4 binary64)))))) (*.f64 (PI.f64) #s(literal 1/4 binary64))) (/.f64 (log.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 (PI.f64) (*.f64 f #s(literal 1/4 binary64)))))) (*.f64 (PI.f64) #s(literal 1/4 binary64))))
(-.f64 (/.f64 (log.f64 (expm1.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/2 binary64)))) (*.f64 (PI.f64) #s(literal 1/4 binary64))) (/.f64 (log1p.f64 (exp.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/2 binary64)))) (*.f64 (PI.f64) #s(literal 1/4 binary64))))
(-.f64 (/.f64 (log1p.f64 (neg.f64 (exp.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal -1/2 binary64))))) (*.f64 (PI.f64) #s(literal 1/4 binary64))) (/.f64 (log1p.f64 (exp.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal -1/2 binary64)))) (*.f64 (PI.f64) #s(literal 1/4 binary64))))
(neg.f64 (*.f64 (/.f64 #s(literal -4 binary64) (sqrt.f64 (PI.f64))) (/.f64 (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 f #s(literal 1/4 binary64))))) (sqrt.f64 (PI.f64)))))
(neg.f64 (*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 (PI.f64))) (/.f64 (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 f #s(literal 1/4 binary64))))) (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/4 binary64)))))
(neg.f64 (*.f64 (/.f64 #s(literal -4 binary64) (PI.f64)) (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 f #s(literal 1/4 binary64)))))))
(neg.f64 (*.f64 (/.f64 (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 f #s(literal 1/4 binary64))))) (sqrt.f64 (PI.f64))) (/.f64 #s(literal -4 binary64) (sqrt.f64 (PI.f64)))))
(neg.f64 (*.f64 (/.f64 (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 f #s(literal 1/4 binary64))))) (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/4 binary64))) (/.f64 #s(literal -1 binary64) (sqrt.f64 (PI.f64)))))
(neg.f64 (*.f64 (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 f #s(literal 1/4 binary64))))) (/.f64 #s(literal -4 binary64) (PI.f64))))
(neg.f64 (/.f64 (/.f64 (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 f #s(literal 1/4 binary64))))) (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/4 binary64))) (neg.f64 (sqrt.f64 (PI.f64)))))
(neg.f64 (/.f64 (/.f64 (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 f #s(literal 1/4 binary64))))) (sqrt.f64 (PI.f64))) (*.f64 (sqrt.f64 (PI.f64)) #s(literal -1/4 binary64))))
(neg.f64 (/.f64 (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 f #s(literal 1/4 binary64))))) (*.f64 (PI.f64) #s(literal -1/4 binary64))))
(neg.f64 (/.f64 (*.f64 #s(literal -4 binary64) (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 f #s(literal 1/4 binary64)))))) (PI.f64)))
(neg.f64 (/.f64 (*.f64 (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 f #s(literal 1/4 binary64))))) #s(literal -4 binary64)) (PI.f64)))
(neg.f64 (/.f64 (*.f64 (/.f64 (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 f #s(literal 1/4 binary64))))) (sqrt.f64 (PI.f64))) #s(literal -4 binary64)) (sqrt.f64 (PI.f64))))
(/.f64 (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64))) (/.f64 (sqrt.f64 (PI.f64)) (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 f #s(literal 1/4 binary64)))))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 f #s(literal 1/4 binary64))))) (*.f64 (PI.f64) #s(literal 1/4 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 f #s(literal 1/4 binary64))))) (*.f64 (PI.f64) #s(literal 1/4 binary64)))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/4 binary64)) (/.f64 (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 f #s(literal 1/4 binary64))))) (sqrt.f64 (PI.f64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 f #s(literal 1/4 binary64)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) (*.f64 #s(literal 4 binary64) (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 f #s(literal 1/4 binary64))))))))
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (PI.f64)) (*.f64 #s(literal -4 binary64) (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 f #s(literal 1/4 binary64))))))))
(/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) (*.f64 (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 f #s(literal 1/4 binary64))))) #s(literal 4 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (PI.f64)) (*.f64 (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 f #s(literal 1/4 binary64))))) #s(literal -4 binary64))))
(/.f64 (/.f64 (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 f #s(literal 1/4 binary64))))) (sqrt.f64 (PI.f64))) (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/4 binary64)))
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(fma.f64 (log.f64 #s(literal 1/4 binary64)) (/.f64 #s(literal -4 binary64) (sqrt.f64 (PI.f64))) (*.f64 (log.f64 (*.f64 (PI.f64) f)) (/.f64 #s(literal -4 binary64) (sqrt.f64 (PI.f64)))))
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(/.f64 (*.f64 (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64))) (log.f64 (*.f64 (PI.f64) (*.f64 f #s(literal 1/4 binary64))))) #s(literal -1 binary64))
(/.f64 (*.f64 (log.f64 (*.f64 (PI.f64) (*.f64 f #s(literal 1/4 binary64)))) #s(literal -4 binary64)) (sqrt.f64 (PI.f64)))
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(/.f64 (/.f64 (log.f64 (*.f64 (PI.f64) (*.f64 f #s(literal 1/4 binary64)))) (sqrt.f64 (PI.f64))) #s(literal -1/4 binary64))
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64))) (log.f64 (*.f64 (PI.f64) (*.f64 f #s(literal 1/4 binary64))))) #s(literal -1/4 binary64))
(/.f64 (neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64))) (log.f64 (*.f64 (PI.f64) (*.f64 f #s(literal 1/4 binary64)))))) #s(literal 1/4 binary64))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (/.f64 (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/4 binary64)) (log.f64 (*.f64 (PI.f64) (*.f64 f #s(literal 1/4 binary64)))))) (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/4 binary64))) (*.f64 (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/4 binary64)) (/.f64 (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/4 binary64)) (log.f64 (*.f64 (PI.f64) (*.f64 f #s(literal 1/4 binary64)))))))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/4 binary64))) (*.f64 (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/4 binary64)) (log.f64 (*.f64 (PI.f64) (*.f64 f #s(literal 1/4 binary64)))))) (*.f64 (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/4 binary64)) (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/4 binary64))))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (*.f64 (sqrt.f64 (PI.f64)) #s(literal -1/4 binary64))) (*.f64 (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/4 binary64)) (neg.f64 (log.f64 (*.f64 (PI.f64) (*.f64 f #s(literal 1/4 binary64))))))) (*.f64 (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/4 binary64)) (*.f64 (sqrt.f64 (PI.f64)) #s(literal -1/4 binary64))))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (/.f64 (*.f64 (sqrt.f64 (PI.f64)) #s(literal -1/4 binary64)) (log.f64 (*.f64 (PI.f64) (*.f64 f #s(literal 1/4 binary64)))))) (*.f64 (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/4 binary64)) #s(literal -1 binary64))) (*.f64 (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/4 binary64)) (/.f64 (*.f64 (sqrt.f64 (PI.f64)) #s(literal -1/4 binary64)) (log.f64 (*.f64 (PI.f64) (*.f64 f #s(literal 1/4 binary64)))))))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (neg.f64 (sqrt.f64 (PI.f64)))) (*.f64 (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/4 binary64)) (*.f64 (log.f64 (*.f64 (PI.f64) (*.f64 f #s(literal 1/4 binary64)))) #s(literal -4 binary64)))) (*.f64 (PI.f64) #s(literal -1/4 binary64)))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (sqrt.f64 (PI.f64))) (*.f64 (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/4 binary64)) (*.f64 #s(literal 4 binary64) (log.f64 (*.f64 (PI.f64) (*.f64 f #s(literal 1/4 binary64))))))) (*.f64 (PI.f64) #s(literal 1/4 binary64)))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (*.f64 (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64))) (log.f64 (*.f64 (PI.f64) (*.f64 f #s(literal 1/4 binary64))))) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 (*.f64 (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64))) (log.f64 (*.f64 (PI.f64) (*.f64 f #s(literal 1/4 binary64))))) (*.f64 (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64))) (log.f64 (*.f64 (PI.f64) (*.f64 f #s(literal 1/4 binary64))))) (*.f64 #s(literal 0 binary64) (*.f64 (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64))) (log.f64 (*.f64 (PI.f64) (*.f64 f #s(literal 1/4 binary64)))))))))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64))) (log.f64 (*.f64 (PI.f64) (*.f64 f #s(literal 1/4 binary64))))) (*.f64 (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64))) (log.f64 (*.f64 (PI.f64) (*.f64 f #s(literal 1/4 binary64))))))) (*.f64 (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64))) (log.f64 (*.f64 (PI.f64) (*.f64 f #s(literal 1/4 binary64))))))
(/.f64 (*.f64 (/.f64 #s(literal -4 binary64) (sqrt.f64 (PI.f64))) (+.f64 (pow.f64 (log.f64 #s(literal 1/4 binary64)) #s(literal 3 binary64)) (pow.f64 (log.f64 (*.f64 (PI.f64) f)) #s(literal 3 binary64)))) (+.f64 (pow.f64 (log.f64 #s(literal 1/4 binary64)) #s(literal 2 binary64)) (*.f64 (log.f64 (*.f64 (PI.f64) f)) (-.f64 (log.f64 (*.f64 (PI.f64) f)) (log.f64 #s(literal 1/4 binary64))))))
(/.f64 (*.f64 (/.f64 #s(literal -4 binary64) (sqrt.f64 (PI.f64))) (+.f64 (pow.f64 (log.f64 f) #s(literal 3 binary64)) (pow.f64 (log.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64))) #s(literal 3 binary64)))) (+.f64 (pow.f64 (log.f64 f) #s(literal 2 binary64)) (*.f64 (log.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64))) (-.f64 (log.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64))) (log.f64 f)))))
(/.f64 (*.f64 (/.f64 #s(literal -4 binary64) (sqrt.f64 (PI.f64))) (*.f64 (log.f64 (*.f64 (PI.f64) (*.f64 f #s(literal 1/4 binary64)))) (log.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f))))) (log.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f))))
(/.f64 (*.f64 (/.f64 #s(literal -4 binary64) (sqrt.f64 (PI.f64))) (*.f64 (log.f64 (*.f64 (PI.f64) (*.f64 f #s(literal 1/4 binary64)))) (log.f64 (/.f64 f (*.f64 (PI.f64) #s(literal 1/4 binary64)))))) (log.f64 (/.f64 f (*.f64 (PI.f64) #s(literal 1/4 binary64)))))
(/.f64 (*.f64 (*.f64 (log.f64 (*.f64 (PI.f64) (*.f64 f #s(literal 1/4 binary64)))) #s(literal -4 binary64)) #s(literal 1 binary64)) (sqrt.f64 (PI.f64)))
(/.f64 (*.f64 (*.f64 (log.f64 (*.f64 (PI.f64) (*.f64 f #s(literal 1/4 binary64)))) #s(literal -4 binary64)) #s(literal -1 binary64)) (neg.f64 (sqrt.f64 (PI.f64))))
(pow.f64 (/.f64 (log.f64 (*.f64 (PI.f64) (*.f64 f #s(literal 1/4 binary64)))) (*.f64 (sqrt.f64 (PI.f64)) #s(literal -1/4 binary64))) #s(literal 1 binary64))
(pow.f64 (/.f64 (*.f64 (sqrt.f64 (PI.f64)) #s(literal -1/4 binary64)) (log.f64 (*.f64 (PI.f64) (*.f64 f #s(literal 1/4 binary64))))) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 (log.f64 (*.f64 (PI.f64) (*.f64 f #s(literal 1/4 binary64)))) (*.f64 (sqrt.f64 (PI.f64)) #s(literal -1/4 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64))) (*.f64 (log.f64 (*.f64 (PI.f64) (*.f64 f #s(literal 1/4 binary64)))) #s(literal -4 binary64)))
(*.f64 (log.f64 (*.f64 (PI.f64) (*.f64 f #s(literal 1/4 binary64)))) (/.f64 #s(literal -4 binary64) (sqrt.f64 (PI.f64))))
(*.f64 (/.f64 (log.f64 (*.f64 (PI.f64) (*.f64 f #s(literal 1/4 binary64)))) (*.f64 (sqrt.f64 (PI.f64)) #s(literal -1/4 binary64))) #s(literal 1 binary64))
(*.f64 (neg.f64 (log.f64 (*.f64 (PI.f64) (*.f64 f #s(literal 1/4 binary64))))) (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64))))
(*.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64))) (log.f64 (*.f64 (PI.f64) (*.f64 f #s(literal 1/4 binary64))))))
(*.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 (PI.f64))) (*.f64 (log.f64 (*.f64 (PI.f64) (*.f64 f #s(literal 1/4 binary64)))) #s(literal -4 binary64))))
(*.f64 #s(literal -4 binary64) (/.f64 (log.f64 (*.f64 (PI.f64) (*.f64 f #s(literal 1/4 binary64)))) (sqrt.f64 (PI.f64))))
(*.f64 (/.f64 #s(literal -4 binary64) (sqrt.f64 (PI.f64))) (log.f64 (*.f64 (PI.f64) (*.f64 f #s(literal 1/4 binary64)))))
(*.f64 (/.f64 #s(literal -4 binary64) (sqrt.f64 (PI.f64))) (pow.f64 (/.f64 #s(literal 1 binary64) (log.f64 (*.f64 (PI.f64) (*.f64 f #s(literal 1/4 binary64))))) #s(literal -1 binary64)))
(*.f64 (*.f64 (log.f64 (*.f64 (PI.f64) (*.f64 f #s(literal 1/4 binary64)))) #s(literal -4 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64))))
(*.f64 (*.f64 #s(literal 4 binary64) (log.f64 (*.f64 (PI.f64) (*.f64 f #s(literal 1/4 binary64))))) (/.f64 #s(literal -1 binary64) (sqrt.f64 (PI.f64))))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (sqrt.f64 (PI.f64)))) (/.f64 (log.f64 (*.f64 (PI.f64) (*.f64 f #s(literal 1/4 binary64)))) (*.f64 #s(literal -1/4 binary64) (sqrt.f64 (sqrt.f64 (PI.f64))))))
(*.f64 (/.f64 (log.f64 (*.f64 (PI.f64) (*.f64 f #s(literal 1/4 binary64)))) (sqrt.f64 (PI.f64))) #s(literal -4 binary64))
(*.f64 (pow.f64 (/.f64 (*.f64 (sqrt.f64 (PI.f64)) #s(literal -1/4 binary64)) (log.f64 (*.f64 (PI.f64) (*.f64 f #s(literal 1/4 binary64))))) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (*.f64 (sqrt.f64 (PI.f64)) #s(literal -1/4 binary64)) (log.f64 (*.f64 (PI.f64) (*.f64 f #s(literal 1/4 binary64))))) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (log.f64 (*.f64 (PI.f64) (*.f64 f #s(literal 1/4 binary64))))) #s(literal -1 binary64)) (/.f64 #s(literal -4 binary64) (sqrt.f64 (PI.f64))))
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (log.f64 (*.f64 (PI.f64) (*.f64 f #s(literal 1/4 binary64))))) #s(literal -1 binary64)) (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64))))

simplify348.0ms (1.8%)

Memory
12.1MiB live, 567.4MiB allocated
Algorithm
egg-herbie
Rules
7 396×accelerator-lowering-fma.f32
7 396×accelerator-lowering-fma.f64
3 706×*-lowering-*.f32
3 706×*-lowering-*.f64
3 394×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02023473
16493159
225542929
373042911
082312881
Stop Event
iter limit
node limit
Counts
204 → 204
Calls
Call 1
Inputs
(* 4 (/ (+ (log f) (log (* 1/4 (PI)))) (PI)))
(+ (* 4 (/ (+ (log f) (log (* 1/4 (PI)))) (PI))) (* 8 (/ (* f (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2)))) (pow (PI) 2))))
(+ (* 4 (/ (+ (log f) (log (* 1/4 (PI)))) (PI))) (* f (+ (* 2 (/ (* f (+ (* -4 (/ (pow (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) 2) (pow (PI) 2))) (* 8 (/ (- (* 1/2 (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (+ (* -1/128 (pow (PI) 3)) (* 1/192 (pow (PI) 3))))) (* 1/128 (pow (PI) 3))) (PI))))) (PI))) (* 8 (/ (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) (pow (PI) 2))))))
(+ (* 4 (/ (+ (log f) (log (* 1/4 (PI)))) (PI))) (* f (+ (* 8 (/ (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) (pow (PI) 2))) (* f (+ (* 2/3 (/ (* f (+ (* -48 (/ (* (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) (- (* 1/2 (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (+ (* -1/128 (pow (PI) 3)) (* 1/192 (pow (PI) 3))))) (* 1/128 (pow (PI) 3)))) (pow (PI) 2))) (+ (* 16 (/ (pow (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) 3) (pow (PI) 3))) (* 24 (/ (- (* 1/2 (+ (* -1/4 (* (PI) (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (+ (* -1/128 (pow (PI) 3)) (* 1/384 (pow (PI) 3)))))) (+ (* -1/32 (* (pow (PI) 2) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (+ (* -1/1536 (pow (PI) 4)) (* 1/3072 (pow (PI) 4)))))) (+ (* -1/8 (* (PI) (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (* -1/128 (pow (PI) 3))))) (* 1/64 (* (pow (PI) 2) (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))))))) (PI)))))) (PI))) (* 2 (/ (+ (* -4 (/ (pow (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) 2) (pow (PI) 2))) (* 8 (/ (- (* 1/2 (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (+ (* -1/128 (pow (PI) 3)) (* 1/192 (pow (PI) 3))))) (* 1/128 (pow (PI) 3))) (PI)))) (PI))))))))
(* 4 (/ (log (/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))) (PI)))
(* 4 (/ (log (/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))) (PI)))
(* 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)))
(* (sqrt (/ 1 (PI))) (+ (log f) (log (* 1/4 (PI)))))
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eval1.1s (5.9%)

Memory
-1.3MiB live, 1 111.3MiB allocated
Compiler

Compiled 90 661 to 10 348 computations (88.6% saved)

prune932.0ms (4.9%)

Memory
7.3MiB live, 922.9MiB allocated
Pruning

29 alts after pruning (24 fresh and 5 done)

PrunedKeptTotal
New4 216134 229
Fresh101121
Picked325
Done033
Total4 229294 258
Accuracy
100.0%
Counts
4 258 → 29
Alt Table
Click to see full alt table
StatusAccuracyProgram
97.7%
(fma.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (log.f64 (*.f64 (tanh.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f))) #s(literal 2 binary64))) (/.f64 (log.f64 #s(literal 2 binary64)) (*.f64 (PI.f64) #s(literal -1/4 binary64))))
96.6%
(/.f64 (/.f64 (*.f64 #s(literal 4 binary64) (log.f64 (*.f64 (PI.f64) (*.f64 f #s(literal 1/4 binary64))))) (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64))))) (sqrt.f64 (sqrt.f64 (PI.f64))))
96.4%
(/.f64 (/.f64 #s(literal -1 binary64) (PI.f64)) (/.f64 #s(literal -1/4 binary64) (log.f64 (*.f64 (PI.f64) (*.f64 f #s(literal 1/4 binary64))))))
96.6%
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (PI.f64)) (*.f64 (*.f64 (PI.f64) #s(literal -1/4 binary64)) (*.f64 (log.f64 (*.f64 (PI.f64) (*.f64 f #s(literal 1/4 binary64)))) #s(literal -4 binary64)))) (*.f64 (*.f64 (PI.f64) #s(literal -1/4 binary64)) (PI.f64)))
96.4%
(/.f64 (*.f64 (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64))) (log.f64 (*.f64 (PI.f64) (*.f64 f #s(literal 1/4 binary64))))) (sqrt.f64 (PI.f64)))
7.9%
(/.f64 (*.f64 (-.f64 (log1p.f64 (neg.f64 (exp.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal -1/2 binary64))))) (log1p.f64 (exp.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal -1/2 binary64))))) #s(literal 4 binary64)) (PI.f64))
4.9%
(/.f64 (*.f64 (log.f64 (/.f64 (-.f64 (cosh.f64 (*.f64 (PI.f64) (*.f64 f #s(literal 1/2 binary64)))) #s(literal 1 binary64)) (sinh.f64 (*.f64 (PI.f64) (*.f64 f #s(literal 1/2 binary64)))))) #s(literal 4 binary64)) (PI.f64))
96.8%
(/.f64 (*.f64 (log.f64 (*.f64 f (fma.f64 (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 f f) (*.f64 #s(literal 1/4 binary64) (PI.f64))))) #s(literal 4 binary64)) (PI.f64))
96.6%
(/.f64 (*.f64 (log.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 f (PI.f64)))) #s(literal 4 binary64)) (PI.f64))
97.9%
(/.f64 (*.f64 (log.f64 (tanh.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f)))) #s(literal 4 binary64)) (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))))
99.0%
(/.f64 (*.f64 (log.f64 (tanh.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f)))) #s(literal 4 binary64)) (PI.f64))
96.5%
(/.f64 #s(literal 4 binary64) (/.f64 (PI.f64) (log.f64 (*.f64 (PI.f64) (*.f64 f #s(literal 1/4 binary64))))))
98.6%
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64)))) #s(literal 1/4 binary64)) (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))))
96.5%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/4 binary64) (/.f64 (log.f64 (*.f64 (PI.f64) (*.f64 f #s(literal 1/4 binary64)))) (PI.f64))))
7.9%
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 (log1p.f64 (neg.f64 (exp.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal -1/2 binary64))))) (log1p.f64 (exp.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal -1/2 binary64)))))) (PI.f64)))
96.6%
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1/4 binary64) (log.f64 (*.f64 f (fma.f64 (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 f f) (*.f64 #s(literal 1/4 binary64) (PI.f64)))))) (PI.f64)))
96.4%
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1/4 binary64) (log.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 f (PI.f64))))) (PI.f64)))
98.8%
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1/4 binary64) (log.f64 (tanh.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f))))) (PI.f64)))
96.5%
(/.f64 #s(literal -4 binary64) (*.f64 (/.f64 (neg.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64))))) (log.f64 (*.f64 (PI.f64) (*.f64 f #s(literal 1/4 binary64))))) (sqrt.f64 (sqrt.f64 (PI.f64)))))
96.4%
(*.f64 (/.f64 (log.f64 (*.f64 (PI.f64) (*.f64 f #s(literal 1/4 binary64)))) (sqrt.f64 (PI.f64))) (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64))))
95.2%
(*.f64 (/.f64 #s(literal 4 binary64) (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)))) (log.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))))
96.6%
(*.f64 (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64))) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64))) (log.f64 (*.f64 (PI.f64) (*.f64 f #s(literal 1/4 binary64))))))
99.0%
(*.f64 (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64))) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64))) (log.f64 (tanh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))))))
96.5%
(*.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (log.f64 (*.f64 (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/4 binary64)) (*.f64 (sqrt.f64 (PI.f64)) f))))
96.5%
(*.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (log.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))))
96.2%
(*.f64 (*.f64 (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64)))) (log.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))))
97.9%
(neg.f64 (/.f64 (fma.f64 (log.f64 (*.f64 (tanh.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f))) #s(literal 2 binary64))) (*.f64 (PI.f64) #s(literal -1/4 binary64)) (*.f64 (*.f64 (PI.f64) #s(literal -1/4 binary64)) (log.f64 #s(literal 1/2 binary64)))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/16 binary64))))
95.7%
(neg.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (sqrt.f64 (PI.f64)) #s(literal -1/4 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (log.f64 (*.f64 (PI.f64) (*.f64 f #s(literal 1/4 binary64))))) (sqrt.f64 (PI.f64))))))
96.9%
(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 #s(literal 1/16 binary64) (+.f64 (PI.f64) (PI.f64)) (*.f64 (*.f64 #s(literal 1/192 binary64) (*.f64 #s(literal 2 binary64) (+.f64 (PI.f64) (PI.f64)))) #s(literal -2 binary64)))) (/.f64 #s(literal 4 binary64) (PI.f64))) f))))
Compiler

Compiled 2 017 to 766 computations (62% saved)

regimes253.0ms (1.3%)

Memory
-21.0MiB live, 186.8MiB allocated
Counts
75 → 1
Calls
Call 1
Inputs
(*.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (log.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))))
(/.f64 (*.f64 (log.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 f (PI.f64)))) #s(literal 4 binary64)) (PI.f64))
(neg.f64 (/.f64 (log.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f))) (*.f64 (PI.f64) #s(literal -1/4 binary64))))
(neg.f64 (*.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (neg.f64 (log.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f))))))
(/.f64 #s(literal 4 binary64) (/.f64 (PI.f64) (log.f64 (*.f64 (PI.f64) (*.f64 f #s(literal 1/4 binary64))))))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1/4 binary64) (log.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 f (PI.f64))))) (PI.f64)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (log.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64))))))
(neg.f64 (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (PI.f64) #s(literal -1/4 binary64)) (log.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f))))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/4 binary64) (/.f64 (log.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))) (PI.f64))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/4 binary64) (/.f64 (log.f64 (*.f64 (PI.f64) (*.f64 f #s(literal 1/4 binary64)))) (PI.f64))))
(/.f64 (/.f64 #s(literal -1 binary64) (PI.f64)) (/.f64 #s(literal -1/4 binary64) (log.f64 (*.f64 (PI.f64) (*.f64 f #s(literal 1/4 binary64))))))
(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))) (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 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (log.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))))) (*.f64 (PI.f64) #s(literal -1/4 binary64))))
(*.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (log.f64 (*.f64 (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/4 binary64)) (*.f64 (sqrt.f64 (PI.f64)) f))))
(*.f64 (/.f64 #s(literal 4 binary64) (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)))) (log.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))))
(neg.f64 (/.f64 (log.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f))) (*.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))) #s(literal -1/4 binary64))))
(neg.f64 (/.f64 (log.f64 (*.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (PI.f64)))) (*.f64 (PI.f64) #s(literal -1/4 binary64))))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (PI.f64)) (*.f64 (*.f64 (PI.f64) #s(literal -1/4 binary64)) (*.f64 (log.f64 (*.f64 (PI.f64) (*.f64 f #s(literal 1/4 binary64)))) #s(literal -4 binary64)))) (*.f64 (*.f64 (PI.f64) #s(literal -1/4 binary64)) (PI.f64)))
(*.f64 (/.f64 (log.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))) (sqrt.f64 (PI.f64))) (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64))))
(*.f64 (/.f64 (log.f64 (*.f64 (PI.f64) (*.f64 f #s(literal 1/4 binary64)))) (sqrt.f64 (PI.f64))) (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64))))
(/.f64 (*.f64 (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64))) (log.f64 (*.f64 (PI.f64) (*.f64 f #s(literal 1/4 binary64))))) (sqrt.f64 (PI.f64)))
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 1/4 binary64) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)))) (neg.f64 (log.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))))))
(/.f64 (neg.f64 (*.f64 (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64))) (log.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))))) (neg.f64 (sqrt.f64 (PI.f64))))
(*.f64 (*.f64 (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64)))) (log.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))))
(*.f64 (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64))) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64))) (log.f64 (*.f64 (PI.f64) (*.f64 f #s(literal 1/4 binary64))))))
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (log.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f))))))))
(neg.f64 (*.f64 (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64))) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64))) (neg.f64 (log.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64))))))))
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 1/4 binary64) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)))) (log.f64 (/.f64 #s(literal 2 binary64) (*.f64 f (*.f64 (PI.f64) #s(literal 1/2 binary64)))))))
(neg.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (sqrt.f64 (PI.f64)) #s(literal -1/4 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (log.f64 (*.f64 (PI.f64) (*.f64 f #s(literal 1/4 binary64))))) (sqrt.f64 (PI.f64))))))
(neg.f64 (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (PI.f64)) (/.f64 (log.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))) (*.f64 #s(literal -1/4 binary64) (sqrt.f64 (PI.f64)))))))
(/.f64 (*.f64 (log.f64 (*.f64 f (fma.f64 (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 f f) (*.f64 #s(literal 1/4 binary64) (PI.f64))))) #s(literal 4 binary64)) (PI.f64))
(neg.f64 (*.f64 (*.f64 (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64)))) (log.f64 (/.f64 #s(literal 2 binary64) (*.f64 f (*.f64 (PI.f64) #s(literal 1/2 binary64)))))))
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 #s(literal 2 binary64) (*.f64 f (*.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))) #s(literal 1/2 binary64)))))))
(/.f64 (/.f64 (*.f64 #s(literal 4 binary64) (log.f64 (*.f64 (PI.f64) (*.f64 f #s(literal 1/4 binary64))))) (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64))))) (sqrt.f64 (sqrt.f64 (PI.f64))))
(/.f64 #s(literal -4 binary64) (*.f64 (/.f64 (neg.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64))))) (log.f64 (*.f64 (PI.f64) (*.f64 f #s(literal 1/4 binary64))))) (sqrt.f64 (sqrt.f64 (PI.f64)))))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1/4 binary64) (log.f64 (*.f64 f (fma.f64 (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 f f) (*.f64 #s(literal 1/4 binary64) (PI.f64)))))) (PI.f64)))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64))))) (/.f64 (log.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))) (*.f64 #s(literal 1/4 binary64) (sqrt.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 #s(literal 1/16 binary64) (+.f64 (PI.f64) (PI.f64)) (*.f64 (*.f64 #s(literal 1/192 binary64) (*.f64 #s(literal 2 binary64) (+.f64 (PI.f64) (PI.f64)))) #s(literal -2 binary64)))) (/.f64 #s(literal 4 binary64) (PI.f64))) f))))
(*.f64 (/.f64 (neg.f64 (log.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64))))) (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64))))) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/4 binary64) (sqrt.f64 (sqrt.f64 (PI.f64))))))
(/.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (*.f64 (PI.f64) #s(literal 1/4 binary64)))
(/.f64 (*.f64 (log.f64 (tanh.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f)))) #s(literal 4 binary64)) (PI.f64))
(*.f64 (-.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (log.f64 f)) (/.f64 #s(literal -4 binary64) (PI.f64)))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1/4 binary64) (log.f64 (tanh.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f))))) (PI.f64)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))))
(/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (/.f64 #s(literal 1 binary64) (log.f64 (tanh.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f))))))
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (-.f64 (neg.f64 (log.f64 (*.f64 f #s(literal 1/2 binary64)))) (log.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))))))
(neg.f64 (-.f64 (*.f64 (/.f64 (log.f64 #s(literal 2 binary64)) (PI.f64)) #s(literal 4 binary64)) (/.f64 (log.f64 (*.f64 f (*.f64 (PI.f64) #s(literal 1/2 binary64)))) (*.f64 (PI.f64) #s(literal 1/4 binary64)))))
(/.f64 (*.f64 (log.f64 (tanh.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f)))) #s(literal 4 binary64)) (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))))
(neg.f64 (*.f64 (/.f64 (neg.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))) (sqrt.f64 (PI.f64))) (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64)))))
(neg.f64 (/.f64 (*.f64 (neg.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))) (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (PI.f64))))
(*.f64 (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64))) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64))) (log.f64 (tanh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.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 (*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64)))) #s(literal 1/4 binary64)) (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))))
(fma.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (log.f64 (*.f64 (tanh.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f))) #s(literal 2 binary64))) (/.f64 (log.f64 #s(literal 2 binary64)) (*.f64 (PI.f64) #s(literal -1/4 binary64))))
(/.f64 (*.f64 (log.f64 (/.f64 (-.f64 (cosh.f64 (*.f64 (PI.f64) (*.f64 f #s(literal 1/2 binary64)))) #s(literal 1 binary64)) (sinh.f64 (*.f64 (PI.f64) (*.f64 f #s(literal 1/2 binary64)))))) #s(literal 4 binary64)) (PI.f64))
(neg.f64 (/.f64 (fma.f64 (log.f64 (*.f64 (tanh.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f))) #s(literal 2 binary64))) (*.f64 (PI.f64) #s(literal -1/4 binary64)) (*.f64 (*.f64 (PI.f64) #s(literal -1/4 binary64)) (log.f64 #s(literal 1/2 binary64)))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/16 binary64))))
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (cosh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)) (sinh.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)) (*.f64 (pow.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) #s(literal -1/2 binary64)) (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))))
(/.f64 (*.f64 (-.f64 (log1p.f64 (neg.f64 (exp.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal -1/2 binary64))))) (log1p.f64 (exp.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal -1/2 binary64))))) #s(literal 4 binary64)) (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) (pow.f64 (PI.f64) #s(literal 2/3 binary64)))) (cbrt.f64 (PI.f64))))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (PI.f64) #s(literal 2/3 binary64))) (/.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (*.f64 (cbrt.f64 (PI.f64)) #s(literal 1/4 binary64))))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 (log1p.f64 (neg.f64 (exp.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal -1/2 binary64))))) (log1p.f64 (exp.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal -1/2 binary64)))))) (PI.f64)))
(-.f64 (/.f64 (log.f64 (cosh.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f)))) (*.f64 (PI.f64) #s(literal -1/4 binary64))) (/.f64 (log.f64 (sinh.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f)))) (*.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)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) (-.f64 (log1p.f64 (neg.f64 (exp.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f)) #s(literal -2 binary64))))) (log1p.f64 (exp.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f)) #s(literal -2 binary64)))))))
(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)))))))
(-.f64 (/.f64 (log1p.f64 (neg.f64 (exp.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f)) #s(literal -2 binary64))))) (*.f64 (PI.f64) #s(literal 1/4 binary64))) (/.f64 (log1p.f64 (exp.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f)) #s(literal -2 binary64)))) (*.f64 (PI.f64) #s(literal 1/4 binary64))))
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (+.f64 (log.f64 #s(literal 2 binary64)) (log.f64 (/.f64 (cosh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)) (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))))))))
(*.f64 (neg.f64 (pow.f64 (/.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (*.f64 (PI.f64) #s(literal -1/4 binary64))) #s(literal 2 binary64))) (/.f64 (*.f64 (PI.f64) #s(literal -1/4 binary64)) (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))))
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (*.f64 (/.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))))) (pow.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) #s(literal 2 binary64))))))
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))))))
(/.f64 (neg.f64 (pow.f64 (/.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (*.f64 (PI.f64) #s(literal -1/4 binary64))) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (*.f64 (PI.f64) #s(literal -1/4 binary64))) #s(literal 2 binary64)) #s(literal 0 binary64)))
(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))))
(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 3 binary64)) (pow.f64 (log.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))) #s(literal 3 binary64))) (+.f64 (pow.f64 (log.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))) #s(literal 2 binary64)) (*.f64 (log.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))) (+.f64 (log.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))) (log.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))))))))))
Outputs
(*.f64 (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64))) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64))) (log.f64 (tanh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))))))
Calls

6 calls:

62.0ms
(*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)
53.0ms
f
47.0ms
(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))))))))
42.0ms
(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))))))
29.0ms
(*.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
99.0%1f
99.0%1(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))))))
99.0%1(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))))))
99.0%1(log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))))
99.0%1(/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))))
99.0%1(*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)
Compiler

Compiled 144 to 60 computations (58.3% saved)

regimes104.0ms (0.5%)

Memory
14.5MiB live, 56.3MiB allocated
Counts
51 → 1
Calls
Call 1
Inputs
(*.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (log.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))))
(/.f64 (*.f64 (log.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 f (PI.f64)))) #s(literal 4 binary64)) (PI.f64))
(neg.f64 (/.f64 (log.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f))) (*.f64 (PI.f64) #s(literal -1/4 binary64))))
(neg.f64 (*.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (neg.f64 (log.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f))))))
(/.f64 #s(literal 4 binary64) (/.f64 (PI.f64) (log.f64 (*.f64 (PI.f64) (*.f64 f #s(literal 1/4 binary64))))))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1/4 binary64) (log.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 f (PI.f64))))) (PI.f64)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (log.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64))))))
(neg.f64 (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (PI.f64) #s(literal -1/4 binary64)) (log.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f))))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/4 binary64) (/.f64 (log.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))) (PI.f64))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/4 binary64) (/.f64 (log.f64 (*.f64 (PI.f64) (*.f64 f #s(literal 1/4 binary64)))) (PI.f64))))
(/.f64 (/.f64 #s(literal -1 binary64) (PI.f64)) (/.f64 #s(literal -1/4 binary64) (log.f64 (*.f64 (PI.f64) (*.f64 f #s(literal 1/4 binary64))))))
(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))) (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 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (log.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))))) (*.f64 (PI.f64) #s(literal -1/4 binary64))))
(*.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (log.f64 (*.f64 (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/4 binary64)) (*.f64 (sqrt.f64 (PI.f64)) f))))
(*.f64 (/.f64 #s(literal 4 binary64) (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)))) (log.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))))
(neg.f64 (/.f64 (log.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f))) (*.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))) #s(literal -1/4 binary64))))
(neg.f64 (/.f64 (log.f64 (*.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (PI.f64)))) (*.f64 (PI.f64) #s(literal -1/4 binary64))))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (PI.f64)) (*.f64 (*.f64 (PI.f64) #s(literal -1/4 binary64)) (*.f64 (log.f64 (*.f64 (PI.f64) (*.f64 f #s(literal 1/4 binary64)))) #s(literal -4 binary64)))) (*.f64 (*.f64 (PI.f64) #s(literal -1/4 binary64)) (PI.f64)))
(*.f64 (/.f64 (log.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))) (sqrt.f64 (PI.f64))) (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64))))
(*.f64 (/.f64 (log.f64 (*.f64 (PI.f64) (*.f64 f #s(literal 1/4 binary64)))) (sqrt.f64 (PI.f64))) (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64))))
(/.f64 (*.f64 (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64))) (log.f64 (*.f64 (PI.f64) (*.f64 f #s(literal 1/4 binary64))))) (sqrt.f64 (PI.f64)))
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 1/4 binary64) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)))) (neg.f64 (log.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))))))
(/.f64 (neg.f64 (*.f64 (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64))) (log.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))))) (neg.f64 (sqrt.f64 (PI.f64))))
(*.f64 (*.f64 (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64)))) (log.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))))
(*.f64 (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64))) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64))) (log.f64 (*.f64 (PI.f64) (*.f64 f #s(literal 1/4 binary64))))))
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (log.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f))))))))
(neg.f64 (*.f64 (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64))) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64))) (neg.f64 (log.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64))))))))
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 1/4 binary64) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)))) (log.f64 (/.f64 #s(literal 2 binary64) (*.f64 f (*.f64 (PI.f64) #s(literal 1/2 binary64)))))))
(neg.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (sqrt.f64 (PI.f64)) #s(literal -1/4 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (log.f64 (*.f64 (PI.f64) (*.f64 f #s(literal 1/4 binary64))))) (sqrt.f64 (PI.f64))))))
(neg.f64 (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (PI.f64)) (/.f64 (log.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))) (*.f64 #s(literal -1/4 binary64) (sqrt.f64 (PI.f64)))))))
(/.f64 (*.f64 (log.f64 (*.f64 f (fma.f64 (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 f f) (*.f64 #s(literal 1/4 binary64) (PI.f64))))) #s(literal 4 binary64)) (PI.f64))
(neg.f64 (*.f64 (*.f64 (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64)))) (log.f64 (/.f64 #s(literal 2 binary64) (*.f64 f (*.f64 (PI.f64) #s(literal 1/2 binary64)))))))
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 #s(literal 2 binary64) (*.f64 f (*.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))) #s(literal 1/2 binary64)))))))
(/.f64 (/.f64 (*.f64 #s(literal 4 binary64) (log.f64 (*.f64 (PI.f64) (*.f64 f #s(literal 1/4 binary64))))) (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64))))) (sqrt.f64 (sqrt.f64 (PI.f64))))
(/.f64 #s(literal -4 binary64) (*.f64 (/.f64 (neg.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64))))) (log.f64 (*.f64 (PI.f64) (*.f64 f #s(literal 1/4 binary64))))) (sqrt.f64 (sqrt.f64 (PI.f64)))))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1/4 binary64) (log.f64 (*.f64 f (fma.f64 (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 f f) (*.f64 #s(literal 1/4 binary64) (PI.f64)))))) (PI.f64)))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64))))) (/.f64 (log.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))) (*.f64 #s(literal 1/4 binary64) (sqrt.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 #s(literal 1/16 binary64) (+.f64 (PI.f64) (PI.f64)) (*.f64 (*.f64 #s(literal 1/192 binary64) (*.f64 #s(literal 2 binary64) (+.f64 (PI.f64) (PI.f64)))) #s(literal -2 binary64)))) (/.f64 #s(literal 4 binary64) (PI.f64))) f))))
(*.f64 (/.f64 (neg.f64 (log.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64))))) (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64))))) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/4 binary64) (sqrt.f64 (sqrt.f64 (PI.f64))))))
(/.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (*.f64 (PI.f64) #s(literal 1/4 binary64)))
(/.f64 (*.f64 (log.f64 (tanh.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f)))) #s(literal 4 binary64)) (PI.f64))
(*.f64 (-.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (log.f64 f)) (/.f64 #s(literal -4 binary64) (PI.f64)))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1/4 binary64) (log.f64 (tanh.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f))))) (PI.f64)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))))
(/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (/.f64 #s(literal 1 binary64) (log.f64 (tanh.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f))))))
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (-.f64 (neg.f64 (log.f64 (*.f64 f #s(literal 1/2 binary64)))) (log.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))))))
(neg.f64 (-.f64 (*.f64 (/.f64 (log.f64 #s(literal 2 binary64)) (PI.f64)) #s(literal 4 binary64)) (/.f64 (log.f64 (*.f64 f (*.f64 (PI.f64) #s(literal 1/2 binary64)))) (*.f64 (PI.f64) #s(literal 1/4 binary64)))))
(/.f64 (*.f64 (log.f64 (tanh.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f)))) #s(literal 4 binary64)) (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))))
(neg.f64 (*.f64 (/.f64 (neg.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))) (sqrt.f64 (PI.f64))) (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64)))))
(neg.f64 (/.f64 (*.f64 (neg.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))) (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (PI.f64))))
Outputs
(/.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (*.f64 (PI.f64) #s(literal 1/4 binary64)))
Calls

6 calls:

39.0ms
(*.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)))))))
14.0ms
(*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)
14.0ms
f
11.0ms
(/.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)))))
11.0ms
(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
99.0%1f
99.0%1(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))))))
99.0%1(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))))))
99.0%1(log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))))
99.0%1(/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))))
99.0%1(*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)
Compiler

Compiled 144 to 60 computations (58.3% saved)

regimes95.0ms (0.5%)

Memory
4.5MiB live, 80.3MiB allocated
Counts
40 → 1
Calls
Call 1
Inputs
(*.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (log.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))))
(/.f64 (*.f64 (log.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 f (PI.f64)))) #s(literal 4 binary64)) (PI.f64))
(neg.f64 (/.f64 (log.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f))) (*.f64 (PI.f64) #s(literal -1/4 binary64))))
(neg.f64 (*.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (neg.f64 (log.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f))))))
(/.f64 #s(literal 4 binary64) (/.f64 (PI.f64) (log.f64 (*.f64 (PI.f64) (*.f64 f #s(literal 1/4 binary64))))))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1/4 binary64) (log.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 f (PI.f64))))) (PI.f64)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (log.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64))))))
(neg.f64 (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (PI.f64) #s(literal -1/4 binary64)) (log.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f))))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/4 binary64) (/.f64 (log.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))) (PI.f64))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/4 binary64) (/.f64 (log.f64 (*.f64 (PI.f64) (*.f64 f #s(literal 1/4 binary64)))) (PI.f64))))
(/.f64 (/.f64 #s(literal -1 binary64) (PI.f64)) (/.f64 #s(literal -1/4 binary64) (log.f64 (*.f64 (PI.f64) (*.f64 f #s(literal 1/4 binary64))))))
(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))) (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 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (log.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))))) (*.f64 (PI.f64) #s(literal -1/4 binary64))))
(*.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (log.f64 (*.f64 (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/4 binary64)) (*.f64 (sqrt.f64 (PI.f64)) f))))
(*.f64 (/.f64 #s(literal 4 binary64) (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)))) (log.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))))
(neg.f64 (/.f64 (log.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f))) (*.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))) #s(literal -1/4 binary64))))
(neg.f64 (/.f64 (log.f64 (*.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (PI.f64)))) (*.f64 (PI.f64) #s(literal -1/4 binary64))))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (PI.f64)) (*.f64 (*.f64 (PI.f64) #s(literal -1/4 binary64)) (*.f64 (log.f64 (*.f64 (PI.f64) (*.f64 f #s(literal 1/4 binary64)))) #s(literal -4 binary64)))) (*.f64 (*.f64 (PI.f64) #s(literal -1/4 binary64)) (PI.f64)))
(*.f64 (/.f64 (log.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))) (sqrt.f64 (PI.f64))) (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64))))
(*.f64 (/.f64 (log.f64 (*.f64 (PI.f64) (*.f64 f #s(literal 1/4 binary64)))) (sqrt.f64 (PI.f64))) (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64))))
(/.f64 (*.f64 (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64))) (log.f64 (*.f64 (PI.f64) (*.f64 f #s(literal 1/4 binary64))))) (sqrt.f64 (PI.f64)))
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 1/4 binary64) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)))) (neg.f64 (log.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))))))
(/.f64 (neg.f64 (*.f64 (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64))) (log.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))))) (neg.f64 (sqrt.f64 (PI.f64))))
(*.f64 (*.f64 (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64)))) (log.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))))
(*.f64 (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64))) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64))) (log.f64 (*.f64 (PI.f64) (*.f64 f #s(literal 1/4 binary64))))))
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (log.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f))))))))
(neg.f64 (*.f64 (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64))) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64))) (neg.f64 (log.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64))))))))
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 1/4 binary64) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)))) (log.f64 (/.f64 #s(literal 2 binary64) (*.f64 f (*.f64 (PI.f64) #s(literal 1/2 binary64)))))))
(neg.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (sqrt.f64 (PI.f64)) #s(literal -1/4 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (log.f64 (*.f64 (PI.f64) (*.f64 f #s(literal 1/4 binary64))))) (sqrt.f64 (PI.f64))))))
(neg.f64 (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (PI.f64)) (/.f64 (log.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))) (*.f64 #s(literal -1/4 binary64) (sqrt.f64 (PI.f64)))))))
(/.f64 (*.f64 (log.f64 (*.f64 f (fma.f64 (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 f f) (*.f64 #s(literal 1/4 binary64) (PI.f64))))) #s(literal 4 binary64)) (PI.f64))
(neg.f64 (*.f64 (*.f64 (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64)))) (log.f64 (/.f64 #s(literal 2 binary64) (*.f64 f (*.f64 (PI.f64) #s(literal 1/2 binary64)))))))
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 #s(literal 2 binary64) (*.f64 f (*.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))) #s(literal 1/2 binary64)))))))
(/.f64 (/.f64 (*.f64 #s(literal 4 binary64) (log.f64 (*.f64 (PI.f64) (*.f64 f #s(literal 1/4 binary64))))) (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64))))) (sqrt.f64 (sqrt.f64 (PI.f64))))
(/.f64 #s(literal -4 binary64) (*.f64 (/.f64 (neg.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64))))) (log.f64 (*.f64 (PI.f64) (*.f64 f #s(literal 1/4 binary64))))) (sqrt.f64 (sqrt.f64 (PI.f64)))))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1/4 binary64) (log.f64 (*.f64 f (fma.f64 (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 f f) (*.f64 #s(literal 1/4 binary64) (PI.f64)))))) (PI.f64)))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64))))) (/.f64 (log.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))) (*.f64 #s(literal 1/4 binary64) (sqrt.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 #s(literal 1/16 binary64) (+.f64 (PI.f64) (PI.f64)) (*.f64 (*.f64 #s(literal 1/192 binary64) (*.f64 #s(literal 2 binary64) (+.f64 (PI.f64) (PI.f64)))) #s(literal -2 binary64)))) (/.f64 #s(literal 4 binary64) (PI.f64))) f))))
(*.f64 (/.f64 (neg.f64 (log.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64))))) (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64))))) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/4 binary64) (sqrt.f64 (sqrt.f64 (PI.f64))))))
Outputs
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (fma.f64 f (*.f64 f (fma.f64 #s(literal 1/16 binary64) (+.f64 (PI.f64) (PI.f64)) (*.f64 (*.f64 #s(literal 1/192 binary64) (*.f64 #s(literal 2 binary64) (+.f64 (PI.f64) (PI.f64)))) #s(literal -2 binary64)))) (/.f64 #s(literal 4 binary64) (PI.f64))) f))))
Calls

6 calls:

28.0ms
f
27.0ms
(/.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)))))
11.0ms
(*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)
9.0ms
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))))))
9.0ms
(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
96.9%1f
96.9%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))))))))
96.9%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)))))))
96.9%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))))))
96.9%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)))))
96.9%1(*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)
Compiler

Compiled 144 to 60 computations (58.3% saved)

regimes141.0ms (0.7%)

Memory
-8.9MiB live, 111.9MiB allocated
Counts
38 → 1
Calls
Call 1
Inputs
(*.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (log.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))))
(/.f64 (*.f64 (log.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 f (PI.f64)))) #s(literal 4 binary64)) (PI.f64))
(neg.f64 (/.f64 (log.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f))) (*.f64 (PI.f64) #s(literal -1/4 binary64))))
(neg.f64 (*.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (neg.f64 (log.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f))))))
(/.f64 #s(literal 4 binary64) (/.f64 (PI.f64) (log.f64 (*.f64 (PI.f64) (*.f64 f #s(literal 1/4 binary64))))))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1/4 binary64) (log.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 f (PI.f64))))) (PI.f64)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (log.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64))))))
(neg.f64 (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (PI.f64) #s(literal -1/4 binary64)) (log.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f))))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/4 binary64) (/.f64 (log.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))) (PI.f64))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/4 binary64) (/.f64 (log.f64 (*.f64 (PI.f64) (*.f64 f #s(literal 1/4 binary64)))) (PI.f64))))
(/.f64 (/.f64 #s(literal -1 binary64) (PI.f64)) (/.f64 #s(literal -1/4 binary64) (log.f64 (*.f64 (PI.f64) (*.f64 f #s(literal 1/4 binary64))))))
(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))) (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 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (log.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))))) (*.f64 (PI.f64) #s(literal -1/4 binary64))))
(*.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (log.f64 (*.f64 (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/4 binary64)) (*.f64 (sqrt.f64 (PI.f64)) f))))
(*.f64 (/.f64 #s(literal 4 binary64) (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)))) (log.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))))
(neg.f64 (/.f64 (log.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f))) (*.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))) #s(literal -1/4 binary64))))
(neg.f64 (/.f64 (log.f64 (*.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (PI.f64)))) (*.f64 (PI.f64) #s(literal -1/4 binary64))))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (PI.f64)) (*.f64 (*.f64 (PI.f64) #s(literal -1/4 binary64)) (*.f64 (log.f64 (*.f64 (PI.f64) (*.f64 f #s(literal 1/4 binary64)))) #s(literal -4 binary64)))) (*.f64 (*.f64 (PI.f64) #s(literal -1/4 binary64)) (PI.f64)))
(*.f64 (/.f64 (log.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))) (sqrt.f64 (PI.f64))) (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64))))
(*.f64 (/.f64 (log.f64 (*.f64 (PI.f64) (*.f64 f #s(literal 1/4 binary64)))) (sqrt.f64 (PI.f64))) (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64))))
(/.f64 (*.f64 (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64))) (log.f64 (*.f64 (PI.f64) (*.f64 f #s(literal 1/4 binary64))))) (sqrt.f64 (PI.f64)))
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 1/4 binary64) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)))) (neg.f64 (log.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))))))
(/.f64 (neg.f64 (*.f64 (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64))) (log.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))))) (neg.f64 (sqrt.f64 (PI.f64))))
(*.f64 (*.f64 (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64)))) (log.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))))
(*.f64 (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64))) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64))) (log.f64 (*.f64 (PI.f64) (*.f64 f #s(literal 1/4 binary64))))))
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (log.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f))))))))
(neg.f64 (*.f64 (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64))) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64))) (neg.f64 (log.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64))))))))
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 1/4 binary64) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)))) (log.f64 (/.f64 #s(literal 2 binary64) (*.f64 f (*.f64 (PI.f64) #s(literal 1/2 binary64)))))))
(neg.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (sqrt.f64 (PI.f64)) #s(literal -1/4 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (log.f64 (*.f64 (PI.f64) (*.f64 f #s(literal 1/4 binary64))))) (sqrt.f64 (PI.f64))))))
(neg.f64 (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (PI.f64)) (/.f64 (log.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))) (*.f64 #s(literal -1/4 binary64) (sqrt.f64 (PI.f64)))))))
(/.f64 (*.f64 (log.f64 (*.f64 f (fma.f64 (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 f f) (*.f64 #s(literal 1/4 binary64) (PI.f64))))) #s(literal 4 binary64)) (PI.f64))
(neg.f64 (*.f64 (*.f64 (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64)))) (log.f64 (/.f64 #s(literal 2 binary64) (*.f64 f (*.f64 (PI.f64) #s(literal 1/2 binary64)))))))
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 #s(literal 2 binary64) (*.f64 f (*.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))) #s(literal 1/2 binary64)))))))
(/.f64 (/.f64 (*.f64 #s(literal 4 binary64) (log.f64 (*.f64 (PI.f64) (*.f64 f #s(literal 1/4 binary64))))) (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64))))) (sqrt.f64 (sqrt.f64 (PI.f64))))
(/.f64 #s(literal -4 binary64) (*.f64 (/.f64 (neg.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64))))) (log.f64 (*.f64 (PI.f64) (*.f64 f #s(literal 1/4 binary64))))) (sqrt.f64 (sqrt.f64 (PI.f64)))))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1/4 binary64) (log.f64 (*.f64 f (fma.f64 (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 f f) (*.f64 #s(literal 1/4 binary64) (PI.f64)))))) (PI.f64)))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64))))) (/.f64 (log.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))) (*.f64 #s(literal 1/4 binary64) (sqrt.f64 (sqrt.f64 (PI.f64))))))
Outputs
(/.f64 (*.f64 (log.f64 (*.f64 f (fma.f64 (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 f f) (*.f64 #s(literal 1/4 binary64) (PI.f64))))) #s(literal 4 binary64)) (PI.f64))
Calls

6 calls:

50.0ms
f
36.0ms
(*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)
27.0ms
(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))))))
9.0ms
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))))))
9.0ms
(/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))))
Results
AccuracySegmentsBranch
96.8%1f
96.8%1(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))))))
96.8%1(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))))))
96.8%1(log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))))
96.8%1(/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))))
96.8%1(*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)
Compiler

Compiled 144 to 60 computations (58.3% saved)

regimes85.0ms (0.4%)

Memory
19.6MiB live, 97.2MiB allocated
Counts
31 → 1
Calls
Call 1
Inputs
(*.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (log.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))))
(/.f64 (*.f64 (log.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 f (PI.f64)))) #s(literal 4 binary64)) (PI.f64))
(neg.f64 (/.f64 (log.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f))) (*.f64 (PI.f64) #s(literal -1/4 binary64))))
(neg.f64 (*.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (neg.f64 (log.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f))))))
(/.f64 #s(literal 4 binary64) (/.f64 (PI.f64) (log.f64 (*.f64 (PI.f64) (*.f64 f #s(literal 1/4 binary64))))))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1/4 binary64) (log.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 f (PI.f64))))) (PI.f64)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (log.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64))))))
(neg.f64 (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (PI.f64) #s(literal -1/4 binary64)) (log.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f))))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/4 binary64) (/.f64 (log.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))) (PI.f64))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/4 binary64) (/.f64 (log.f64 (*.f64 (PI.f64) (*.f64 f #s(literal 1/4 binary64)))) (PI.f64))))
(/.f64 (/.f64 #s(literal -1 binary64) (PI.f64)) (/.f64 #s(literal -1/4 binary64) (log.f64 (*.f64 (PI.f64) (*.f64 f #s(literal 1/4 binary64))))))
(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))) (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 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (log.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))))) (*.f64 (PI.f64) #s(literal -1/4 binary64))))
(*.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (log.f64 (*.f64 (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/4 binary64)) (*.f64 (sqrt.f64 (PI.f64)) f))))
(*.f64 (/.f64 #s(literal 4 binary64) (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)))) (log.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))))
(neg.f64 (/.f64 (log.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f))) (*.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))) #s(literal -1/4 binary64))))
(neg.f64 (/.f64 (log.f64 (*.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (PI.f64)))) (*.f64 (PI.f64) #s(literal -1/4 binary64))))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (PI.f64)) (*.f64 (*.f64 (PI.f64) #s(literal -1/4 binary64)) (*.f64 (log.f64 (*.f64 (PI.f64) (*.f64 f #s(literal 1/4 binary64)))) #s(literal -4 binary64)))) (*.f64 (*.f64 (PI.f64) #s(literal -1/4 binary64)) (PI.f64)))
(*.f64 (/.f64 (log.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))) (sqrt.f64 (PI.f64))) (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64))))
(*.f64 (/.f64 (log.f64 (*.f64 (PI.f64) (*.f64 f #s(literal 1/4 binary64)))) (sqrt.f64 (PI.f64))) (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64))))
(/.f64 (*.f64 (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64))) (log.f64 (*.f64 (PI.f64) (*.f64 f #s(literal 1/4 binary64))))) (sqrt.f64 (PI.f64)))
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 1/4 binary64) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)))) (neg.f64 (log.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))))))
(/.f64 (neg.f64 (*.f64 (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64))) (log.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))))) (neg.f64 (sqrt.f64 (PI.f64))))
(*.f64 (*.f64 (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64)))) (log.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))))
(*.f64 (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64))) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64))) (log.f64 (*.f64 (PI.f64) (*.f64 f #s(literal 1/4 binary64))))))
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (log.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f))))))))
(neg.f64 (*.f64 (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64))) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64))) (neg.f64 (log.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64))))))))
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 1/4 binary64) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)))) (log.f64 (/.f64 #s(literal 2 binary64) (*.f64 f (*.f64 (PI.f64) #s(literal 1/2 binary64)))))))
(neg.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (sqrt.f64 (PI.f64)) #s(literal -1/4 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (log.f64 (*.f64 (PI.f64) (*.f64 f #s(literal 1/4 binary64))))) (sqrt.f64 (PI.f64))))))
(neg.f64 (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (PI.f64)) (/.f64 (log.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))) (*.f64 #s(literal -1/4 binary64) (sqrt.f64 (PI.f64)))))))
Outputs
(/.f64 (*.f64 (log.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 f (PI.f64)))) #s(literal 4 binary64)) (PI.f64))
Calls

6 calls:

42.0ms
(*.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)))))))
9.0ms
(/.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)))))
9.0ms
(*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)
9.0ms
f
7.0ms
(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
96.6%1f
96.6%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))))))))
96.6%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)))))))
96.6%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))))))
96.6%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)))))
96.6%1(*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)
Compiler

Compiled 144 to 60 computations (58.3% saved)

regimes42.0ms (0.2%)

Memory
-23.0MiB live, 16.2MiB allocated
Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

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

6 calls:

35.0ms
(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))))))
1.0ms
(*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)
1.0ms
f
1.0ms
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))))))
1.0ms
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))))))
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)

simplify12.0ms (0.1%)

Memory
19.3MiB live, 19.3MiB allocated
Algorithm
egg-herbie
Rules
58×*-commutative_binary64
36×neg-mul-1_binary64
22×unsub-neg_binary64
16×distribute-rgt-neg-in_binary64
14×+-commutative_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
059109
189109
2102109
3115108
4127108
5155108
6193108
7196108
Stop Event
saturated
Calls
Call 1
Inputs
(*.f64 (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64))) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64))) (log.f64 (tanh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))))))
(/.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (*.f64 (PI.f64) #s(literal 1/4 binary64)))
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (fma.f64 f (*.f64 f (fma.f64 #s(literal 1/16 binary64) (+.f64 (PI.f64) (PI.f64)) (*.f64 (*.f64 #s(literal 1/192 binary64) (*.f64 #s(literal 2 binary64) (+.f64 (PI.f64) (PI.f64)))) #s(literal -2 binary64)))) (/.f64 #s(literal 4 binary64) (PI.f64))) f))))
(/.f64 (*.f64 (log.f64 (*.f64 f (fma.f64 (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 f f) (*.f64 #s(literal 1/4 binary64) (PI.f64))))) #s(literal 4 binary64)) (PI.f64))
(/.f64 (*.f64 (log.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 f (PI.f64)))) #s(literal 4 binary64)) (PI.f64))
(*.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (log.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))))
Outputs
(*.f64 (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64))) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64))) (log.f64 (tanh.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))))))
(*.f64 (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64))) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64))) (log.f64 (tanh.f64 (*.f64 f (*.f64 (PI.f64) #s(literal 1/4 binary64)))))))
(/.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (*.f64 (PI.f64) #s(literal 1/4 binary64)))
(/.f64 (log.f64 (tanh.f64 (*.f64 f (*.f64 (PI.f64) #s(literal 1/4 binary64))))) (*.f64 (PI.f64) #s(literal 1/4 binary64)))
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (fma.f64 f (*.f64 f (fma.f64 #s(literal 1/16 binary64) (+.f64 (PI.f64) (PI.f64)) (*.f64 (*.f64 #s(literal 1/192 binary64) (*.f64 #s(literal 2 binary64) (+.f64 (PI.f64) (PI.f64)))) #s(literal -2 binary64)))) (/.f64 #s(literal 4 binary64) (PI.f64))) f))))
(*.f64 (log.f64 (/.f64 (fma.f64 f (*.f64 f (fma.f64 #s(literal 1/16 binary64) (+.f64 (PI.f64) (PI.f64)) (*.f64 (*.f64 #s(literal 1/192 binary64) (*.f64 (+.f64 (PI.f64) (PI.f64)) #s(literal 2 binary64))) #s(literal -2 binary64)))) (/.f64 #s(literal 4 binary64) (PI.f64))) f)) (/.f64 #s(literal -1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))))
(/.f64 (*.f64 (log.f64 (*.f64 f (fma.f64 (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 f f) (*.f64 #s(literal 1/4 binary64) (PI.f64))))) #s(literal 4 binary64)) (PI.f64))
(/.f64 (*.f64 #s(literal 4 binary64) (log.f64 (*.f64 f (fma.f64 (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 f f) (*.f64 (PI.f64) #s(literal 1/4 binary64)))))) (PI.f64))
(/.f64 (*.f64 (log.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 f (PI.f64)))) #s(literal 4 binary64)) (PI.f64))
(/.f64 (*.f64 #s(literal 4 binary64) (log.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f)))) (PI.f64))
(*.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (log.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))))
(*.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (log.f64 (*.f64 f (*.f64 (PI.f64) #s(literal 1/4 binary64)))))

soundness1.2s (6.2%)

Memory
-46.7MiB live, 626.9MiB allocated
Rules
7 954×accelerator-lowering-fma.f32
7 954×accelerator-lowering-fma.f64
7 296×accelerator-lowering-fma.f32
7 296×accelerator-lowering-fma.f64
5 602×*-lowering-*.f32
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
041257
1228198
21574194
08379192
02886507
19275484
239254399
089894270
041175
1211157
21170157
08589157
016100
110652
276452
0854152
01901850
15531668
221211484
090711459
Stop Event
fuel
iter limit
node limit
iter limit
node limit
iter limit
node limit
iter limit
node limit
iter limit
node limit
Compiler

Compiled 146 to 88 computations (39.7% saved)

preprocess47.0ms (0.2%)

Memory
11.4MiB live, 127.3MiB allocated
Compiler

Compiled 294 to 142 computations (51.7% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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