VandenBroeck and Keller, Equation (20)

Time bar (total: 21.0s)

analyze205.0ms (1%)

Memory
6.1MiB live, 275.3MiB allocated
Algorithm
1×search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%100%0%0%0%0%0
0%0%100%0%0%0%0%1
0%0%100%0%0%0%0%2
0%0%75%0%0%25%0%3
0%0%62.5%0%0%37.5%0%4
0%0%56.2%0%0%43.7%0%5
0%0%53.1%0%0%46.9%0%6
3.1%1.6%48.4%0%0%50%0%7
4.8%2.3%46.1%0%0%51.5%0%8
5.6%2.7%45.7%0%0%51.5%0%9
6%2.9%45.5%0%0%51.5%0%10
6.3%3%45.4%0%0%51.5%0%11
6.4%3.1%45.2%0%0%51.6%0%12
Compiler

Compiled 39 to 18 computations (53.8% saved)

sample5.8s (27.7%)

Memory
93.1MiB live, 6 246.1MiB allocated
Samples
2.4s7 396×1invalid
2.2s7 691×1valid
202.0ms171×2valid
51.0ms394×0valid
28.0ms8×0exit
0.0ms1×0invalid
Precisions
Click to see histograms. Total time spent on operations: 4.2s
ival-exp: 1.3s (30.3% of total)
ival-div: 784.0ms (18.6% of total)
ival-mult: 561.0ms (13.3% of total)
ival-log: 397.0ms (9.4% of total)
ival-neg: 384.0ms (9.1% of total)
adjust: 287.0ms (6.8% of total)
ival-pi: 178.0ms (4.2% of total)
ival-add: 158.0ms (3.8% of total)
ival-sub: 140.0ms (3.3% of total)
exact: 24.0ms (0.6% of total)
ival-true: 13.0ms (0.3% of total)
ival-assert: 7.0ms (0.2% of total)
Bogosity

preprocess601.0ms (2.9%)

Memory
42.3MiB live, 546.3MiB allocated
Algorithm
2×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
1×iter limit
1×node limit
1×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 -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)))))))

explain488.0ms (2.3%)

Memory
-19.9MiB live, 819.4MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
2480-0-(-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))
50-0-(/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))))
15(113169389.82737872)0-(log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))))
00-0-(exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))
00-0-(exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))
00-0-#s(literal 1 binary64)
00-0-(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))))))
00-0-(/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64)))
00-0-#s(literal 4 binary64)
00-0-(+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))
00-0-(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))))))
00-0-f
00-0-(/.f64 (PI.f64) #s(literal 4 binary64))
00-0-(*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)
00-0-(neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))
00-0-(PI.f64)
Explanations
Click to see full explanations table
OperatorSubexpressionExplanationCount
-.f64(-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))cancellation2480
/.f64(/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))))o/o50
↳(exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))overflow5
↳(+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))overflow5
↳(exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))overflow5
↳(-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))overflow5
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))))))sensitivity50
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))))))oflow-rescue10
↳(exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))overflow10
↳(/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))))overflow1
↳(-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))overflow5
↳(+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))overflow5
Confusion
Predicted +Predicted -
+2530
-03
Precision
1.0
Recall
1.0
Confusion?
Predicted +Predicted MaybePredicted -
+25300
-003
Precision?
1.0
Recall?
1.0
Freqs
test
numberfreq
03
1247
26
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
167.0ms484×1valid
9.0ms10×2valid
2.0ms18×0valid
Compiler

Compiled 472 to 68 computations (85.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 141.0ms
ival-exp: 34.0ms (24.2% of total)
ival-mult: 30.0ms (21.3% of total)
ival-div: 28.0ms (19.9% of total)
ival-log: 16.0ms (11.4% of total)
ival-neg: 9.0ms (6.4% of total)
adjust: 8.0ms (5.7% of total)
ival-pi: 5.0ms (3.6% of total)
ival-sub: 5.0ms (3.6% of total)
ival-add: 5.0ms (3.6% of total)
exact: 1.0ms (0.7% of total)
ival-true: 1.0ms (0.7% of total)
ival-assert: 0.0ms (0% of total)

eval0.0ms (0%)

Memory
1.3MiB live, 1.3MiB allocated
Compiler

Compiled 23 to 19 computations (17.4% saved)

prune1.0ms (0%)

Memory
2.4MiB live, 2.4MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶99.1%
(/.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 -4 binary64)))
Compiler

Compiled 23 to 19 computations (17.4% saved)

simplify7.0ms (0%)

Memory
20.6MiB live, 20.6MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(/.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (PI.f64) (*.f64 f #s(literal 1/2 binary64)))))
✓cost-diff0
(+.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))))))
✓cost-diff0
(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)))))))
✓cost-diff0
(/.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 -4 binary64)))
Rules
56×*-lowering-*.f32
56×*-lowering-*.f64
44×pow-lowering-pow.f64
44×pow-lowering-pow.f32
44×exp-prod
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
021131
139131
264126
392126
498126
599126
099111
Stop Event
1×iter limit
1×saturated
Calls
Call 1
Inputs
(/ (log (+ (/ 1 (- (exp (* (PI) (* f 1/2))) 1)) (/ -1 (- (exp (* (PI) (* f -1/2))) 1)))) (/ (PI) -4))
(log (+ (/ 1 (- (exp (* (PI) (* f 1/2))) 1)) (/ -1 (- (exp (* (PI) (* f -1/2))) 1))))
(+ (/ 1 (- (exp (* (PI) (* f 1/2))) 1)) (/ -1 (- (exp (* (PI) (* f -1/2))) 1)))
(/ 1 (- (exp (* (PI) (* f 1/2))) 1))
1
(- (exp (* (PI) (* f 1/2))) 1)
(* (PI) (* f 1/2))
(PI)
(* f 1/2)
f
1/2
(/ -1 (- (exp (* (PI) (* f -1/2))) 1))
-1
(- (exp (* (PI) (* f -1/2))) 1)
(* (PI) (* f -1/2))
(* f -1/2)
-1/2
(/ (PI) -4)
-4
Outputs
(/ (log (+ (/ 1 (- (exp (* (PI) (* f 1/2))) 1)) (/ -1 (- (exp (* (PI) (* f -1/2))) 1)))) (/ (PI) -4))
(/.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 -4 binary64)))
(log (+ (/ 1 (- (exp (* (PI) (* f 1/2))) 1)) (/ -1 (- (exp (* (PI) (* f -1/2))) 1))))
(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)))))))
(+ (/ 1 (- (exp (* (PI) (* f 1/2))) 1)) (/ -1 (- (exp (* (PI) (* f -1/2))) 1)))
(+.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))))))
(/ 1 (- (exp (* (PI) (* f 1/2))) 1))
(/.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (PI.f64) (*.f64 f #s(literal 1/2 binary64)))))
1
#s(literal 1 binary64)
(- (exp (* (PI) (* f 1/2))) 1)
(expm1.f64 (*.f64 (PI.f64) (*.f64 f #s(literal 1/2 binary64))))
(* (PI) (* f 1/2))
(*.f64 (PI.f64) (*.f64 f #s(literal 1/2 binary64)))
(PI)
(PI.f64)
(* f 1/2)
(*.f64 f #s(literal 1/2 binary64))
f
1/2
#s(literal 1/2 binary64)
(/ -1 (- (exp (* (PI) (* f -1/2))) 1))
(/.f64 #s(literal -1 binary64) (expm1.f64 (*.f64 (PI.f64) (*.f64 f #s(literal -1/2 binary64)))))
-1
#s(literal -1 binary64)
(- (exp (* (PI) (* f -1/2))) 1)
(expm1.f64 (*.f64 (PI.f64) (*.f64 f #s(literal -1/2 binary64))))
(* (PI) (* f -1/2))
(*.f64 (PI.f64) (*.f64 f #s(literal -1/2 binary64)))
(* f -1/2)
(*.f64 f #s(literal -1/2 binary64))
-1/2
#s(literal -1/2 binary64)
(/ (PI) -4)
(/.f64 (PI.f64) #s(literal -4 binary64))
-4
#s(literal -4 binary64)

localize98.0ms (0.5%)

Memory
-33.9MiB live, 167.2MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
✓accuracy99.6%
(*.f64 (PI.f64) (*.f64 f #s(literal -1/2 binary64)))
✓accuracy99.5%
(/.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 -4 binary64)))
✓accuracy99.5%
(/.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (PI.f64) (*.f64 f #s(literal 1/2 binary64)))))
✓accuracy99.5%
(/.f64 #s(literal -1 binary64) (expm1.f64 (*.f64 (PI.f64) (*.f64 f #s(literal -1/2 binary64)))))
Samples
62.0ms251×0valid
3.0ms5×2valid
Compiler

Compiled 113 to 21 computations (81.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 54.0ms
ival-pi: 28.0ms (51.4% of total)
ival-div: 8.0ms (14.7% of total)
ival-expm1: 6.0ms (11% of total)
ival-mult: 6.0ms (11% of total)
ival-log: 4.0ms (7.3% of total)
ival-add: 1.0ms (1.8% of total)
exact: 1.0ms (1.8% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series88.0ms (0.4%)

Memory
35.4MiB live, 185.9MiB allocated
Counts
6 → 72
Calls
Call 1
Inputs
#<alt (/ (log (+ (/ 1 (- (exp (* (PI) (* f 1/2))) 1)) (/ -1 (- (exp (* (PI) (* f -1/2))) 1)))) (/ (PI) -4))>
#<alt (log (+ (/ 1 (- (exp (* (PI) (* f 1/2))) 1)) (/ -1 (- (exp (* (PI) (* f -1/2))) 1))))>
#<alt (+ (/ 1 (- (exp (* (PI) (* f 1/2))) 1)) (/ -1 (- (exp (* (PI) (* f -1/2))) 1)))>
#<alt (/ 1 (- (exp (* (PI) (* f 1/2))) 1))>
#<alt (/ -1 (- (exp (* (PI) (* f -1/2))) 1))>
#<alt (* (PI) (* f -1/2))>
Outputs
#<alt (* -4 (/ (+ (log (/ 4 (PI))) (* -1 (log f))) (PI)))>
#<alt (+ (* -4 (/ (+ (log (/ 4 (PI))) (* -1 (log f))) (PI))) (* -1 (* (pow f 2) (- (+ (* -1/12 (PI)) (* 1/8 (PI))) (+ (* -1/8 (PI)) (* 1/12 (PI)))))))>
#<alt (+ (* -4 (/ (+ (log (/ 4 (PI))) (* -1 (log f))) (PI))) (* (pow f 2) (+ (* -1 (* f (- (* 1/4 (* (PI) (+ (* -1/12 (PI)) (* 1/8 (PI))))) (* -1/4 (* (PI) (+ (* -1/8 (PI)) (* 1/12 (PI)))))))) (* -1 (- (+ (* -1/12 (PI)) (* 1/8 (PI))) (+ (* -1/8 (PI)) (* 1/12 (PI))))))))>
#<alt (+ (* -4 (/ (+ (log (/ 4 (PI))) (* -1 (log f))) (PI))) (* (pow f 2) (+ (* -1 (- (+ (* -1/12 (PI)) (* 1/8 (PI))) (+ (* -1/8 (PI)) (* 1/12 (PI))))) (* f (+ (* -1 (- (* 1/4 (* (PI) (+ (* -1/12 (PI)) (* 1/8 (PI))))) (* -1/4 (* (PI) (+ (* -1/8 (PI)) (* 1/12 (PI))))))) (* -1/6 (/ (* f (+ (* -3/4 (* (pow (PI) 2) (pow (- (+ (* -1/12 (PI)) (* 1/8 (PI))) (+ (* -1/8 (PI)) (* 1/12 (PI)))) 2))) (* 6 (* (PI) (- (+ (* -1/24 (* (pow (PI) 2) (+ (* -1/12 (PI)) (* 1/8 (PI))))) (+ (* -1/960 (pow (PI) 3)) (+ (* 1/384 (pow (PI) 3)) (* 1/4 (* (PI) (+ (* -1/48 (pow (PI) 2)) (+ (* 1/96 (pow (PI) 2)) (* 1/4 (* (PI) (+ (* -1/12 (PI)) (* 1/8 (PI)))))))))))) (+ (* -1/4 (* (PI) (+ (* -1/4 (* (PI) (+ (* -1/8 (PI)) (* 1/12 (PI))))) (+ (* -1/48 (pow (PI) 2)) (* 1/96 (pow (PI) 2)))))) (+ (* -1/24 (* (pow (PI) 2) (+ (* -1/8 (PI)) (* 1/12 (PI))))) (+ (* -1/384 (pow (PI) 3)) (* 1/960 (pow (PI) 3)))))))))) (PI))))))))>
#<alt (* -4 (/ (log (- (/ 1 (- (exp (* 1/2 (* f (PI)))) 1)) (/ 1 (- (exp (* -1/2 (* f (PI)))) 1)))) (PI)))>
#<alt (* -4 (/ (log (- (/ 1 (- (exp (* 1/2 (* f (PI)))) 1)) (/ 1 (- (exp (* -1/2 (* f (PI)))) 1)))) (PI)))>
#<alt (* -4 (/ (log (- (/ 1 (- (exp (* 1/2 (* f (PI)))) 1)) (/ 1 (- (exp (* -1/2 (* f (PI)))) 1)))) (PI)))>
#<alt (* -4 (/ (log (- (/ 1 (- (exp (* 1/2 (* f (PI)))) 1)) (/ 1 (- (exp (* -1/2 (* f (PI)))) 1)))) (PI)))>
#<alt (* -4 (/ (log (- (/ 1 (- (exp (* 1/2 (* f (PI)))) 1)) (/ 1 (- (exp (* -1/2 (* f (PI)))) 1)))) (PI)))>
#<alt (* -4 (/ (log (- (/ 1 (- (exp (* 1/2 (* f (PI)))) 1)) (/ 1 (- (exp (* -1/2 (* f (PI)))) 1)))) (PI)))>
#<alt (* -4 (/ (log (- (/ 1 (- (exp (* 1/2 (* f (PI)))) 1)) (/ 1 (- (exp (* -1/2 (* f (PI)))) 1)))) (PI)))>
#<alt (* -4 (/ (log (- (/ 1 (- (exp (* 1/2 (* f (PI)))) 1)) (/ 1 (- (exp (* -1/2 (* f (PI)))) 1)))) (PI)))>
#<alt (+ (log (/ 4 (PI))) (* -1 (log f)))>
#<alt (+ (log (/ 4 (PI))) (+ (* -1 (log f)) (* 1/4 (* (pow f 2) (* (PI) (- (+ (* -1/12 (PI)) (* 1/8 (PI))) (+ (* -1/8 (PI)) (* 1/12 (PI)))))))))>
#<alt (+ (log (/ 4 (PI))) (+ (* -1 (log f)) (* (pow f 2) (+ (* 1/4 (* f (* (PI) (- (* 1/4 (* (PI) (+ (* -1/12 (PI)) (* 1/8 (PI))))) (* -1/4 (* (PI) (+ (* -1/8 (PI)) (* 1/12 (PI))))))))) (* 1/4 (* (PI) (- (+ (* -1/12 (PI)) (* 1/8 (PI))) (+ (* -1/8 (PI)) (* 1/12 (PI))))))))))>
#<alt (+ (log (/ 4 (PI))) (+ (* -1 (log f)) (* (pow f 2) (+ (* 1/4 (* (PI) (- (+ (* -1/12 (PI)) (* 1/8 (PI))) (+ (* -1/8 (PI)) (* 1/12 (PI)))))) (* f (+ (* 1/24 (* f (+ (* -3/4 (* (pow (PI) 2) (pow (- (+ (* -1/12 (PI)) (* 1/8 (PI))) (+ (* -1/8 (PI)) (* 1/12 (PI)))) 2))) (* 6 (* (PI) (- (+ (* -1/24 (* (pow (PI) 2) (+ (* -1/12 (PI)) (* 1/8 (PI))))) (+ (* -1/960 (pow (PI) 3)) (+ (* 1/384 (pow (PI) 3)) (* 1/4 (* (PI) (+ (* -1/48 (pow (PI) 2)) (+ (* 1/96 (pow (PI) 2)) (* 1/4 (* (PI) (+ (* -1/12 (PI)) (* 1/8 (PI)))))))))))) (+ (* -1/4 (* (PI) (+ (* -1/4 (* (PI) (+ (* -1/8 (PI)) (* 1/12 (PI))))) (+ (* -1/48 (pow (PI) 2)) (* 1/96 (pow (PI) 2)))))) (+ (* -1/24 (* (pow (PI) 2) (+ (* -1/8 (PI)) (* 1/12 (PI))))) (+ (* -1/384 (pow (PI) 3)) (* 1/960 (pow (PI) 3))))))))))) (* 1/4 (* (PI) (- (* 1/4 (* (PI) (+ (* -1/12 (PI)) (* 1/8 (PI))))) (* -1/4 (* (PI) (+ (* -1/8 (PI)) (* 1/12 (PI))))))))))))))>
#<alt (log (- (/ 1 (- (exp (* 1/2 (* f (PI)))) 1)) (/ 1 (- (exp (* -1/2 (* f (PI)))) 1))))>
#<alt (log (- (/ 1 (- (exp (* 1/2 (* f (PI)))) 1)) (/ 1 (- (exp (* -1/2 (* f (PI)))) 1))))>
#<alt (log (- (/ 1 (- (exp (* 1/2 (* f (PI)))) 1)) (/ 1 (- (exp (* -1/2 (* f (PI)))) 1))))>
#<alt (log (- (/ 1 (- (exp (* 1/2 (* f (PI)))) 1)) (/ 1 (- (exp (* -1/2 (* f (PI)))) 1))))>
#<alt (log (- (/ 1 (- (exp (* 1/2 (* f (PI)))) 1)) (/ 1 (- (exp (* -1/2 (* f (PI)))) 1))))>
#<alt (log (- (/ 1 (- (exp (* 1/2 (* f (PI)))) 1)) (/ 1 (- (exp (* -1/2 (* f (PI)))) 1))))>
#<alt (log (- (/ 1 (- (exp (* 1/2 (* f (PI)))) 1)) (/ 1 (- (exp (* -1/2 (* f (PI)))) 1))))>
#<alt (log (- (/ 1 (- (exp (* 1/2 (* f (PI)))) 1)) (/ 1 (- (exp (* -1/2 (* f (PI)))) 1))))>
#<alt (/ 4 (* f (PI)))>
#<alt (/ (+ (* (pow f 2) (- (+ (* -1/12 (PI)) (* 1/8 (PI))) (+ (* -1/8 (PI)) (* 1/12 (PI))))) (* 4 (/ 1 (PI)))) f)>
#<alt (/ (+ (* (pow f 2) (- (+ (* -1/12 (PI)) (+ (* 1/8 (PI)) (* f (- (* 1/4 (* (PI) (+ (* -1/12 (PI)) (* 1/8 (PI))))) (* -1/4 (* (PI) (+ (* -1/8 (PI)) (* 1/12 (PI))))))))) (+ (* -1/8 (PI)) (* 1/12 (PI))))) (* 4 (/ 1 (PI)))) f)>
#<alt (/ (+ (* (pow f 2) (- (+ (* -1/12 (PI)) (+ (* 1/8 (PI)) (* f (- (+ (* 1/4 (* (PI) (+ (* -1/12 (PI)) (* 1/8 (PI))))) (* f (- (+ (* -1/24 (* (pow (PI) 2) (+ (* -1/12 (PI)) (* 1/8 (PI))))) (+ (* -1/960 (pow (PI) 3)) (+ (* 1/384 (pow (PI) 3)) (* 1/4 (* (PI) (+ (* -1/48 (pow (PI) 2)) (+ (* 1/96 (pow (PI) 2)) (* 1/4 (* (PI) (+ (* -1/12 (PI)) (* 1/8 (PI)))))))))))) (+ (* -1/4 (* (PI) (+ (* -1/4 (* (PI) (+ (* -1/8 (PI)) (* 1/12 (PI))))) (+ (* -1/48 (pow (PI) 2)) (* 1/96 (pow (PI) 2)))))) (+ (* -1/24 (* (pow (PI) 2) (+ (* -1/8 (PI)) (* 1/12 (PI))))) (+ (* -1/384 (pow (PI) 3)) (* 1/960 (pow (PI) 3)))))))) (* -1/4 (* (PI) (+ (* -1/8 (PI)) (* 1/12 (PI))))))))) (+ (* -1/8 (PI)) (* 1/12 (PI))))) (* 4 (/ 1 (PI)))) f)>
#<alt (- (/ 1 (- (exp (* 1/2 (* f (PI)))) 1)) (/ 1 (- (exp (* -1/2 (* f (PI)))) 1)))>
#<alt (- (/ 1 (- (exp (* 1/2 (* f (PI)))) 1)) (/ 1 (- (exp (* -1/2 (* f (PI)))) 1)))>
#<alt (- (/ 1 (- (exp (* 1/2 (* f (PI)))) 1)) (/ 1 (- (exp (* -1/2 (* f (PI)))) 1)))>
#<alt (- (/ 1 (- (exp (* 1/2 (* f (PI)))) 1)) (/ 1 (- (exp (* -1/2 (* f (PI)))) 1)))>
#<alt (- (/ 1 (- (exp (* 1/2 (* f (PI)))) 1)) (/ 1 (- (exp (* -1/2 (* f (PI)))) 1)))>
#<alt (- (/ 1 (- (exp (* 1/2 (* f (PI)))) 1)) (/ 1 (- (exp (* -1/2 (* f (PI)))) 1)))>
#<alt (- (/ 1 (- (exp (* 1/2 (* f (PI)))) 1)) (/ 1 (- (exp (* -1/2 (* f (PI)))) 1)))>
#<alt (- (/ 1 (- (exp (* 1/2 (* f (PI)))) 1)) (/ 1 (- (exp (* -1/2 (* f (PI)))) 1)))>
#<alt (/ 2 (* f (PI)))>
#<alt (/ (+ (* -1/2 f) (* 2 (/ 1 (PI)))) f)>
#<alt (/ (+ (* f (- (* -1 (* f (+ (* -1/8 (PI)) (* 1/12 (PI))))) 1/2)) (* 2 (/ 1 (PI)))) f)>
#<alt (/ (+ (* f (- (* f (- (* -1 (* f (+ (* -1/4 (* (PI) (+ (* -1/8 (PI)) (* 1/12 (PI))))) (+ (* -1/48 (pow (PI) 2)) (* 1/96 (pow (PI) 2)))))) (+ (* -1/8 (PI)) (* 1/12 (PI))))) 1/2)) (* 2 (/ 1 (PI)))) f)>
#<alt (/ 1 (- (exp (* 1/2 (* f (PI)))) 1))>
#<alt (/ 1 (- (exp (* 1/2 (* f (PI)))) 1))>
#<alt (/ 1 (- (exp (* 1/2 (* f (PI)))) 1))>
#<alt (/ 1 (- (exp (* 1/2 (* f (PI)))) 1))>
#<alt (/ 1 (- (exp (* 1/2 (* f (PI)))) 1))>
#<alt (/ 1 (- (exp (* 1/2 (* f (PI)))) 1))>
#<alt (/ 1 (- (exp (* 1/2 (* f (PI)))) 1))>
#<alt (/ 1 (- (exp (* 1/2 (* f (PI)))) 1))>
#<alt (/ 2 (* f (PI)))>
#<alt (/ (+ (* 1/2 f) (* 2 (/ 1 (PI)))) f)>
#<alt (/ (+ (* f (+ 1/2 (* -1 (* f (+ (* -1/8 (PI)) (* 1/12 (PI))))))) (* 2 (/ 1 (PI)))) f)>
#<alt (/ (+ (* f (+ 1/2 (* f (- (* -1 (* f (+ (* -1/96 (pow (PI) 2)) (+ (* 1/48 (pow (PI) 2)) (* 1/4 (* (PI) (+ (* -1/8 (PI)) (* 1/12 (PI))))))))) (+ (* -1/8 (PI)) (* 1/12 (PI))))))) (* 2 (/ 1 (PI)))) f)>
#<alt (/ -1 (- (exp (* -1/2 (* f (PI)))) 1))>
#<alt (/ -1 (- (exp (* -1/2 (* f (PI)))) 1))>
#<alt (/ -1 (- (exp (* -1/2 (* f (PI)))) 1))>
#<alt (/ -1 (- (exp (* -1/2 (* f (PI)))) 1))>
#<alt (/ -1 (- (exp (* -1/2 (* f (PI)))) 1))>
#<alt (/ -1 (- (exp (* -1/2 (* f (PI)))) 1))>
#<alt (/ -1 (- (exp (* -1/2 (* f (PI)))) 1))>
#<alt (/ -1 (- (exp (* -1/2 (* f (PI)))) 1))>
#<alt (* -1/2 (* f (PI)))>
#<alt (* -1/2 (* f (PI)))>
#<alt (* -1/2 (* f (PI)))>
#<alt (* -1/2 (* f (PI)))>
#<alt (* -1/2 (* f (PI)))>
#<alt (* -1/2 (* f (PI)))>
#<alt (* -1/2 (* f (PI)))>
#<alt (* -1/2 (* f (PI)))>
#<alt (* -1/2 (* f (PI)))>
#<alt (* -1/2 (* f (PI)))>
#<alt (* -1/2 (* f (PI)))>
#<alt (* -1/2 (* f (PI)))>
Calls

18 calls:

TimeVariablePointExpression
41.0ms
f
@inf
(/ (log (+ (/ 1 (- (exp (* (PI) (* f 1/2))) 1)) (/ -1 (- (exp (* (PI) (* f -1/2))) 1)))) (/ (PI) -4))
37.0ms
f
@-inf
(/ (log (+ (/ 1 (- (exp (* (PI) (* f 1/2))) 1)) (/ -1 (- (exp (* (PI) (* f -1/2))) 1)))) (/ (PI) -4))
4.0ms
f
@0
(/ (log (+ (/ 1 (- (exp (* (PI) (* f 1/2))) 1)) (/ -1 (- (exp (* (PI) (* f -1/2))) 1)))) (/ (PI) -4))
1.0ms
f
@0
(log (+ (/ 1 (- (exp (* (PI) (* f 1/2))) 1)) (/ -1 (- (exp (* (PI) (* f -1/2))) 1))))
0.0ms
f
@inf
(/ -1 (- (exp (* (PI) (* f -1/2))) 1))

rewrite299.0ms (1.4%)

Memory
-6.1MiB live, 583.4MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
3 278×/-lowering-/.f32
3 278×/-lowering-/.f64
3 278×accelerator-lowering-fma.f32
3 278×accelerator-lowering-fma.f64
3 062×*-lowering-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02194
112194
2107590
0888778
Stop Event
1×iter limit
1×node limit
Counts
6 → 222
Calls
Call 1
Inputs
(/ (log (+ (/ 1 (- (exp (* (PI) (* f 1/2))) 1)) (/ -1 (- (exp (* (PI) (* f -1/2))) 1)))) (/ (PI) -4))
(log (+ (/ 1 (- (exp (* (PI) (* f 1/2))) 1)) (/ -1 (- (exp (* (PI) (* f -1/2))) 1))))
(+ (/ 1 (- (exp (* (PI) (* f 1/2))) 1)) (/ -1 (- (exp (* (PI) (* f -1/2))) 1)))
(/ 1 (- (exp (* (PI) (* f 1/2))) 1))
(/ -1 (- (exp (* (PI) (* f -1/2))) 1))
(* (PI) (* f -1/2))
Outputs
(exp.f64 (*.f64 (log.f64 (/.f64 (/.f64 (PI.f64) #s(literal -4 binary64)) (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))))))))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.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 4 binary64))))
(-.f64 (/.f64 (log.f64 (-.f64 (expm1.f64 (*.f64 (PI.f64) (*.f64 f #s(literal -1/2 binary64)))) (expm1.f64 (*.f64 (PI.f64) (*.f64 f #s(literal 1/2 binary64)))))) (/.f64 (PI.f64) #s(literal -4 binary64))) (/.f64 (log.f64 (*.f64 (expm1.f64 (*.f64 (PI.f64) (*.f64 f #s(literal -1/2 binary64)))) (expm1.f64 (*.f64 (PI.f64) (*.f64 f #s(literal 1/2 binary64)))))) (/.f64 (PI.f64) #s(literal -4 binary64))))
(-.f64 (/.f64 (log.f64 (+.f64 (pow.f64 (expm1.f64 (*.f64 (PI.f64) (*.f64 f #s(literal 1/2 binary64)))) #s(literal -3 binary64)) (pow.f64 (-.f64 #s(literal 0 binary64) (expm1.f64 (*.f64 (PI.f64) (*.f64 f #s(literal -1/2 binary64))))) #s(literal -3 binary64)))) (/.f64 (PI.f64) #s(literal -4 binary64))) (/.f64 (log.f64 (+.f64 (pow.f64 (expm1.f64 (*.f64 (PI.f64) (*.f64 f #s(literal 1/2 binary64)))) #s(literal -2 binary64)) (/.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 #s(literal 0 binary64) (expm1.f64 (*.f64 (PI.f64) (*.f64 f #s(literal -1/2 binary64)))))))) (/.f64 (PI.f64) #s(literal -4 binary64))))
(-.f64 (/.f64 (log.f64 (-.f64 (pow.f64 (expm1.f64 (*.f64 (PI.f64) (*.f64 f #s(literal 1/2 binary64)))) #s(literal -2 binary64)) (pow.f64 (expm1.f64 (*.f64 (PI.f64) (*.f64 f #s(literal -1/2 binary64)))) #s(literal -2 binary64)))) (/.f64 (PI.f64) #s(literal -4 binary64))) (/.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 -4 binary64))))
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (/.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 4 binary64))))
(neg.f64 (/.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 4 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (PI.f64) #s(literal -4 binary64)) (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 #s(literal 1 binary64) (neg.f64 (-.f64 #s(literal 0 binary64) (/.f64 (/.f64 (PI.f64) #s(literal -4 binary64)) (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 #s(literal 1 binary64) (/.f64 #s(literal -1/4 binary64) (/.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))))))) (PI.f64))))
(/.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (/.f64 (/.f64 (PI.f64) #s(literal -4 binary64)) (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 (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 -4 binary64)))
(/.f64 #s(literal -4 binary64) (/.f64 (PI.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 (log.f64 (/.f64 #s(literal 1 binary64) (+.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 4 binary64)))
(/.f64 (/.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))))))) (PI.f64)) #s(literal -1/4 binary64))
(/.f64 (*.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))))))) #s(literal -4 binary64)) (PI.f64))
(/.f64 (neg.f64 (/.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))))))) (PI.f64))) #s(literal 1/4 binary64))
(/.f64 (neg.f64 (*.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))))))) #s(literal -4 binary64))) (-.f64 #s(literal 0 binary64) (PI.f64)))
(pow.f64 (/.f64 (/.f64 (PI.f64) #s(literal -4 binary64)) (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)))))))) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.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 -4 binary64))))
(*.f64 #s(literal -1 binary64) (/.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 4 binary64))))
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(neg.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (PI.f64) (*.f64 f #s(literal -1/2 binary64))))))
(/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 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)))))
(pow.f64 (-.f64 #s(literal 0 binary64) (expm1.f64 (*.f64 (PI.f64) (*.f64 f #s(literal -1/2 binary64))))) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (expm1.f64 (*.f64 (PI.f64) (*.f64 f #s(literal -1/2 binary64))))))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (PI.f64) (*.f64 f #s(literal -1/2 binary64))))))
(*.f64 (/.f64 #s(literal -1 binary64) (expm1.f64 (*.f64 (PI.f64) (*.f64 f #s(literal -1/2 binary64))))) #s(literal 1 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (PI.f64) (*.f64 f #s(literal -1/2 binary64))))) #s(literal -1 binary64))
(*.f64 (/.f64 #s(literal -1 binary64) (expm1.f64 (*.f64 (PI.f64) (*.f64 (*.f64 f #s(literal -1/2 binary64)) #s(literal 3 binary64))))) (+.f64 (exp.f64 (*.f64 (*.f64 (PI.f64) (*.f64 f #s(literal -1/2 binary64))) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (PI.f64) (*.f64 f #s(literal -1/2 binary64)))))))
(*.f64 (/.f64 #s(literal -1 binary64) (expm1.f64 (*.f64 (*.f64 (PI.f64) (*.f64 f #s(literal -1/2 binary64))) #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (PI.f64) (*.f64 f #s(literal -1/2 binary64))))))
(log.f64 (exp.f64 (*.f64 (PI.f64) (*.f64 f #s(literal -1/2 binary64)))))
(+.f64 (*.f64 (PI.f64) (*.f64 f #s(literal -1/2 binary64))) #s(literal 0 binary64))
(+.f64 #s(literal 0 binary64) (*.f64 (PI.f64) (*.f64 f #s(literal -1/2 binary64))))
(+.f64 (log.f64 (exp.f64 (*.f64 (PI.f64) (/.f64 (*.f64 f #s(literal -1/2 binary64)) #s(literal 2 binary64))))) (log.f64 (exp.f64 (*.f64 (PI.f64) (/.f64 (*.f64 f #s(literal -1/2 binary64)) #s(literal 2 binary64))))))
(fma.f64 #s(literal 1 binary64) (*.f64 (PI.f64) (*.f64 f #s(literal -1/2 binary64))) #s(literal 0 binary64))
(fma.f64 (PI.f64) (*.f64 f #s(literal -1/2 binary64)) #s(literal 0 binary64))
(fma.f64 (PI.f64) (log.f64 (exp.f64 (*.f64 f #s(literal -1/2 binary64)))) #s(literal 0 binary64))
(fma.f64 f (*.f64 #s(literal -1/2 binary64) (PI.f64)) #s(literal 0 binary64))
(fma.f64 f (log.f64 (exp.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)))) #s(literal 0 binary64))
(fma.f64 #s(literal -1/2 binary64) (*.f64 (PI.f64) f) #s(literal 0 binary64))
(fma.f64 #s(literal -1/2 binary64) (log.f64 (exp.f64 (*.f64 (PI.f64) f))) #s(literal 0 binary64))
(fma.f64 (*.f64 f #s(literal -1/2 binary64)) (PI.f64) #s(literal 0 binary64))
(fma.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (*.f64 (cbrt.f64 (PI.f64)) (*.f64 f #s(literal -1/2 binary64))) #s(literal 0 binary64))
(fma.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) (*.f64 f #s(literal -1/2 binary64))) #s(literal 0 binary64))
(fma.f64 (*.f64 (PI.f64) f) #s(literal -1/2 binary64) #s(literal 0 binary64))
(fma.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) f #s(literal 0 binary64))
(fma.f64 (*.f64 (*.f64 f #s(literal -1/2 binary64)) (pow.f64 (PI.f64) #s(literal 2/3 binary64))) (cbrt.f64 (PI.f64)) #s(literal 0 binary64))
(fma.f64 (*.f64 (*.f64 f #s(literal -1/2 binary64)) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) #s(literal 0 binary64))
(*.f64 #s(literal 1 binary64) (*.f64 (PI.f64) (*.f64 f #s(literal -1/2 binary64))))
(*.f64 (PI.f64) (*.f64 f #s(literal -1/2 binary64)))
(*.f64 (PI.f64) (log.f64 (exp.f64 (*.f64 f #s(literal -1/2 binary64)))))
(*.f64 f (*.f64 #s(literal -1/2 binary64) (PI.f64)))
(*.f64 f (log.f64 (exp.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)))))
(*.f64 #s(literal -1/2 binary64) (*.f64 (PI.f64) f))
(*.f64 #s(literal -1/2 binary64) (log.f64 (exp.f64 (*.f64 (PI.f64) f))))
(*.f64 (*.f64 f #s(literal -1/2 binary64)) (PI.f64))
(*.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (*.f64 (cbrt.f64 (PI.f64)) (*.f64 f #s(literal -1/2 binary64))))
(*.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) (*.f64 f #s(literal -1/2 binary64))))
(*.f64 (*.f64 (PI.f64) f) #s(literal -1/2 binary64))
(*.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) f)
(*.f64 (*.f64 (*.f64 f #s(literal -1/2 binary64)) (pow.f64 (PI.f64) #s(literal 2/3 binary64))) (cbrt.f64 (PI.f64)))
(*.f64 (*.f64 (*.f64 f #s(literal -1/2 binary64)) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)))

simplify577.0ms (2.7%)

Memory
-10.7MiB live, 801.1MiB allocated
Algorithm
1×egg-herbie
Rules
13 522×accelerator-lowering-fma.f32
13 522×accelerator-lowering-fma.f64
3 168×+-lowering-+.f64
3 168×+-lowering-+.f32
2 814×*-lowering-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01951458
15701350
222261288
365261254
085431109
Stop Event
1×iter limit
1×node limit
Counts
72 → 72
Calls
Call 1
Inputs
(* -4 (/ (+ (log (/ 4 (PI))) (* -1 (log f))) (PI)))
(+ (* -4 (/ (+ (log (/ 4 (PI))) (* -1 (log f))) (PI))) (* -1 (* (pow f 2) (- (+ (* -1/12 (PI)) (* 1/8 (PI))) (+ (* -1/8 (PI)) (* 1/12 (PI)))))))
(+ (* -4 (/ (+ (log (/ 4 (PI))) (* -1 (log f))) (PI))) (* (pow f 2) (+ (* -1 (* f (- (* 1/4 (* (PI) (+ (* -1/12 (PI)) (* 1/8 (PI))))) (* -1/4 (* (PI) (+ (* -1/8 (PI)) (* 1/12 (PI)))))))) (* -1 (- (+ (* -1/12 (PI)) (* 1/8 (PI))) (+ (* -1/8 (PI)) (* 1/12 (PI))))))))
(+ (* -4 (/ (+ (log (/ 4 (PI))) (* -1 (log f))) (PI))) (* (pow f 2) (+ (* -1 (- (+ (* -1/12 (PI)) (* 1/8 (PI))) (+ (* -1/8 (PI)) (* 1/12 (PI))))) (* f (+ (* -1 (- (* 1/4 (* (PI) (+ (* -1/12 (PI)) (* 1/8 (PI))))) (* -1/4 (* (PI) (+ (* -1/8 (PI)) (* 1/12 (PI))))))) (* -1/6 (/ (* f (+ (* -3/4 (* (pow (PI) 2) (pow (- (+ (* -1/12 (PI)) (* 1/8 (PI))) (+ (* -1/8 (PI)) (* 1/12 (PI)))) 2))) (* 6 (* (PI) (- (+ (* -1/24 (* (pow (PI) 2) (+ (* -1/12 (PI)) (* 1/8 (PI))))) (+ (* -1/960 (pow (PI) 3)) (+ (* 1/384 (pow (PI) 3)) (* 1/4 (* (PI) (+ (* -1/48 (pow (PI) 2)) (+ (* 1/96 (pow (PI) 2)) (* 1/4 (* (PI) (+ (* -1/12 (PI)) (* 1/8 (PI)))))))))))) (+ (* -1/4 (* (PI) (+ (* -1/4 (* (PI) (+ (* -1/8 (PI)) (* 1/12 (PI))))) (+ (* -1/48 (pow (PI) 2)) (* 1/96 (pow (PI) 2)))))) (+ (* -1/24 (* (pow (PI) 2) (+ (* -1/8 (PI)) (* 1/12 (PI))))) (+ (* -1/384 (pow (PI) 3)) (* 1/960 (pow (PI) 3)))))))))) (PI))))))))
(* -4 (/ (log (- (/ 1 (- (exp (* 1/2 (* f (PI)))) 1)) (/ 1 (- (exp (* -1/2 (* f (PI)))) 1)))) (PI)))
(* -4 (/ (log (- (/ 1 (- (exp (* 1/2 (* f (PI)))) 1)) (/ 1 (- (exp (* -1/2 (* f (PI)))) 1)))) (PI)))
(* -4 (/ (log (- (/ 1 (- (exp (* 1/2 (* f (PI)))) 1)) (/ 1 (- (exp (* -1/2 (* f (PI)))) 1)))) (PI)))
(* -4 (/ (log (- (/ 1 (- (exp (* 1/2 (* f (PI)))) 1)) (/ 1 (- (exp (* -1/2 (* f (PI)))) 1)))) (PI)))
(* -4 (/ (log (- (/ 1 (- (exp (* 1/2 (* f (PI)))) 1)) (/ 1 (- (exp (* -1/2 (* f (PI)))) 1)))) (PI)))
(* -4 (/ (log (- (/ 1 (- (exp (* 1/2 (* f (PI)))) 1)) (/ 1 (- (exp (* -1/2 (* f (PI)))) 1)))) (PI)))
(* -4 (/ (log (- (/ 1 (- (exp (* 1/2 (* f (PI)))) 1)) (/ 1 (- (exp (* -1/2 (* f (PI)))) 1)))) (PI)))
(* -4 (/ (log (- (/ 1 (- (exp (* 1/2 (* f (PI)))) 1)) (/ 1 (- (exp (* -1/2 (* f (PI)))) 1)))) (PI)))
(+ (log (/ 4 (PI))) (* -1 (log f)))
(+ (log (/ 4 (PI))) (+ (* -1 (log f)) (* 1/4 (* (pow f 2) (* (PI) (- (+ (* -1/12 (PI)) (* 1/8 (PI))) (+ (* -1/8 (PI)) (* 1/12 (PI)))))))))
(+ (log (/ 4 (PI))) (+ (* -1 (log f)) (* (pow f 2) (+ (* 1/4 (* f (* (PI) (- (* 1/4 (* (PI) (+ (* -1/12 (PI)) (* 1/8 (PI))))) (* -1/4 (* (PI) (+ (* -1/8 (PI)) (* 1/12 (PI))))))))) (* 1/4 (* (PI) (- (+ (* -1/12 (PI)) (* 1/8 (PI))) (+ (* -1/8 (PI)) (* 1/12 (PI))))))))))
(+ (log (/ 4 (PI))) (+ (* -1 (log f)) (* (pow f 2) (+ (* 1/4 (* (PI) (- (+ (* -1/12 (PI)) (* 1/8 (PI))) (+ (* -1/8 (PI)) (* 1/12 (PI)))))) (* f (+ (* 1/24 (* f (+ (* -3/4 (* (pow (PI) 2) (pow (- (+ (* -1/12 (PI)) (* 1/8 (PI))) (+ (* -1/8 (PI)) (* 1/12 (PI)))) 2))) (* 6 (* (PI) (- (+ (* -1/24 (* (pow (PI) 2) (+ (* -1/12 (PI)) (* 1/8 (PI))))) (+ (* -1/960 (pow (PI) 3)) (+ (* 1/384 (pow (PI) 3)) (* 1/4 (* (PI) (+ (* -1/48 (pow (PI) 2)) (+ (* 1/96 (pow (PI) 2)) (* 1/4 (* (PI) (+ (* -1/12 (PI)) (* 1/8 (PI)))))))))))) (+ (* -1/4 (* (PI) (+ (* -1/4 (* (PI) (+ (* -1/8 (PI)) (* 1/12 (PI))))) (+ (* -1/48 (pow (PI) 2)) (* 1/96 (pow (PI) 2)))))) (+ (* -1/24 (* (pow (PI) 2) (+ (* -1/8 (PI)) (* 1/12 (PI))))) (+ (* -1/384 (pow (PI) 3)) (* 1/960 (pow (PI) 3))))))))))) (* 1/4 (* (PI) (- (* 1/4 (* (PI) (+ (* -1/12 (PI)) (* 1/8 (PI))))) (* -1/4 (* (PI) (+ (* -1/8 (PI)) (* 1/12 (PI))))))))))))))
(log (- (/ 1 (- (exp (* 1/2 (* f (PI)))) 1)) (/ 1 (- (exp (* -1/2 (* f (PI)))) 1))))
(log (- (/ 1 (- (exp (* 1/2 (* f (PI)))) 1)) (/ 1 (- (exp (* -1/2 (* f (PI)))) 1))))
(log (- (/ 1 (- (exp (* 1/2 (* f (PI)))) 1)) (/ 1 (- (exp (* -1/2 (* f (PI)))) 1))))
(log (- (/ 1 (- (exp (* 1/2 (* f (PI)))) 1)) (/ 1 (- (exp (* -1/2 (* f (PI)))) 1))))
(log (- (/ 1 (- (exp (* 1/2 (* f (PI)))) 1)) (/ 1 (- (exp (* -1/2 (* f (PI)))) 1))))
(log (- (/ 1 (- (exp (* 1/2 (* f (PI)))) 1)) (/ 1 (- (exp (* -1/2 (* f (PI)))) 1))))
(log (- (/ 1 (- (exp (* 1/2 (* f (PI)))) 1)) (/ 1 (- (exp (* -1/2 (* f (PI)))) 1))))
(log (- (/ 1 (- (exp (* 1/2 (* f (PI)))) 1)) (/ 1 (- (exp (* -1/2 (* f (PI)))) 1))))
(/ 4 (* f (PI)))
(/ (+ (* (pow f 2) (- (+ (* -1/12 (PI)) (* 1/8 (PI))) (+ (* -1/8 (PI)) (* 1/12 (PI))))) (* 4 (/ 1 (PI)))) f)
(/ (+ (* (pow f 2) (- (+ (* -1/12 (PI)) (+ (* 1/8 (PI)) (* f (- (* 1/4 (* (PI) (+ (* -1/12 (PI)) (* 1/8 (PI))))) (* -1/4 (* (PI) (+ (* -1/8 (PI)) (* 1/12 (PI))))))))) (+ (* -1/8 (PI)) (* 1/12 (PI))))) (* 4 (/ 1 (PI)))) f)
(/ (+ (* (pow f 2) (- (+ (* -1/12 (PI)) (+ (* 1/8 (PI)) (* f (- (+ (* 1/4 (* (PI) (+ (* -1/12 (PI)) (* 1/8 (PI))))) (* f (- (+ (* -1/24 (* (pow (PI) 2) (+ (* -1/12 (PI)) (* 1/8 (PI))))) (+ (* -1/960 (pow (PI) 3)) (+ (* 1/384 (pow (PI) 3)) (* 1/4 (* (PI) (+ (* -1/48 (pow (PI) 2)) (+ (* 1/96 (pow (PI) 2)) (* 1/4 (* (PI) (+ (* -1/12 (PI)) (* 1/8 (PI)))))))))))) (+ (* -1/4 (* (PI) (+ (* -1/4 (* (PI) (+ (* -1/8 (PI)) (* 1/12 (PI))))) (+ (* -1/48 (pow (PI) 2)) (* 1/96 (pow (PI) 2)))))) (+ (* -1/24 (* (pow (PI) 2) (+ (* -1/8 (PI)) (* 1/12 (PI))))) (+ (* -1/384 (pow (PI) 3)) (* 1/960 (pow (PI) 3)))))))) (* -1/4 (* (PI) (+ (* -1/8 (PI)) (* 1/12 (PI))))))))) (+ (* -1/8 (PI)) (* 1/12 (PI))))) (* 4 (/ 1 (PI)))) f)
(- (/ 1 (- (exp (* 1/2 (* f (PI)))) 1)) (/ 1 (- (exp (* -1/2 (* f (PI)))) 1)))
(- (/ 1 (- (exp (* 1/2 (* f (PI)))) 1)) (/ 1 (- (exp (* -1/2 (* f (PI)))) 1)))
(- (/ 1 (- (exp (* 1/2 (* f (PI)))) 1)) (/ 1 (- (exp (* -1/2 (* f (PI)))) 1)))
(- (/ 1 (- (exp (* 1/2 (* f (PI)))) 1)) (/ 1 (- (exp (* -1/2 (* f (PI)))) 1)))
(- (/ 1 (- (exp (* 1/2 (* f (PI)))) 1)) (/ 1 (- (exp (* -1/2 (* f (PI)))) 1)))
(- (/ 1 (- (exp (* 1/2 (* f (PI)))) 1)) (/ 1 (- (exp (* -1/2 (* f (PI)))) 1)))
(- (/ 1 (- (exp (* 1/2 (* f (PI)))) 1)) (/ 1 (- (exp (* -1/2 (* f (PI)))) 1)))
(- (/ 1 (- (exp (* 1/2 (* f (PI)))) 1)) (/ 1 (- (exp (* -1/2 (* f (PI)))) 1)))
(/ 2 (* f (PI)))
(/ (+ (* -1/2 f) (* 2 (/ 1 (PI)))) f)
(/ (+ (* f (- (* -1 (* f (+ (* -1/8 (PI)) (* 1/12 (PI))))) 1/2)) (* 2 (/ 1 (PI)))) f)
(/ (+ (* f (- (* f (- (* -1 (* f (+ (* -1/4 (* (PI) (+ (* -1/8 (PI)) (* 1/12 (PI))))) (+ (* -1/48 (pow (PI) 2)) (* 1/96 (pow (PI) 2)))))) (+ (* -1/8 (PI)) (* 1/12 (PI))))) 1/2)) (* 2 (/ 1 (PI)))) f)
(/ 1 (- (exp (* 1/2 (* f (PI)))) 1))
(/ 1 (- (exp (* 1/2 (* f (PI)))) 1))
(/ 1 (- (exp (* 1/2 (* f (PI)))) 1))
(/ 1 (- (exp (* 1/2 (* f (PI)))) 1))
(/ 1 (- (exp (* 1/2 (* f (PI)))) 1))
(/ 1 (- (exp (* 1/2 (* f (PI)))) 1))
(/ 1 (- (exp (* 1/2 (* f (PI)))) 1))
(/ 1 (- (exp (* 1/2 (* f (PI)))) 1))
(/ 2 (* f (PI)))
(/ (+ (* 1/2 f) (* 2 (/ 1 (PI)))) f)
(/ (+ (* f (+ 1/2 (* -1 (* f (+ (* -1/8 (PI)) (* 1/12 (PI))))))) (* 2 (/ 1 (PI)))) f)
(/ (+ (* f (+ 1/2 (* f (- (* -1 (* f (+ (* -1/96 (pow (PI) 2)) (+ (* 1/48 (pow (PI) 2)) (* 1/4 (* (PI) (+ (* -1/8 (PI)) (* 1/12 (PI))))))))) (+ (* -1/8 (PI)) (* 1/12 (PI))))))) (* 2 (/ 1 (PI)))) f)
(/ -1 (- (exp (* -1/2 (* f (PI)))) 1))
(/ -1 (- (exp (* -1/2 (* f (PI)))) 1))
(/ -1 (- (exp (* -1/2 (* f (PI)))) 1))
(/ -1 (- (exp (* -1/2 (* f (PI)))) 1))
(/ -1 (- (exp (* -1/2 (* f (PI)))) 1))
(/ -1 (- (exp (* -1/2 (* f (PI)))) 1))
(/ -1 (- (exp (* -1/2 (* f (PI)))) 1))
(/ -1 (- (exp (* -1/2 (* f (PI)))) 1))
(* -1/2 (* f (PI)))
(* -1/2 (* f (PI)))
(* -1/2 (* f (PI)))
(* -1/2 (* f (PI)))
(* -1/2 (* f (PI)))
(* -1/2 (* f (PI)))
(* -1/2 (* f (PI)))
(* -1/2 (* f (PI)))
(* -1/2 (* f (PI)))
(* -1/2 (* f (PI)))
(* -1/2 (* f (PI)))
(* -1/2 (* f (PI)))
Outputs
(* -4 (/ (+ (log (/ 4 (PI))) (* -1 (log f))) (PI)))
(*.f64 (-.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (log.f64 f)) (/.f64 #s(literal -4 binary64) (PI.f64)))
(+ (* -4 (/ (+ (log (/ 4 (PI))) (* -1 (log f))) (PI))) (* -1 (* (pow f 2) (- (+ (* -1/12 (PI)) (* 1/8 (PI))) (+ (* -1/8 (PI)) (* 1/12 (PI)))))))
(+.f64 (*.f64 (-.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (log.f64 f)) (/.f64 #s(literal -4 binary64) (PI.f64))) (*.f64 (*.f64 f f) (*.f64 (PI.f64) #s(literal -1/12 binary64))))
(+ (* -4 (/ (+ (log (/ 4 (PI))) (* -1 (log f))) (PI))) (* (pow f 2) (+ (* -1 (* f (- (* 1/4 (* (PI) (+ (* -1/12 (PI)) (* 1/8 (PI))))) (* -1/4 (* (PI) (+ (* -1/8 (PI)) (* 1/12 (PI)))))))) (* -1 (- (+ (* -1/12 (PI)) (* 1/8 (PI))) (+ (* -1/8 (PI)) (* 1/12 (PI))))))))
(+.f64 (*.f64 (-.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (log.f64 f)) (/.f64 #s(literal -4 binary64) (PI.f64))) (*.f64 (*.f64 f f) (*.f64 (PI.f64) #s(literal -1/12 binary64))))
(+ (* -4 (/ (+ (log (/ 4 (PI))) (* -1 (log f))) (PI))) (* (pow f 2) (+ (* -1 (- (+ (* -1/12 (PI)) (* 1/8 (PI))) (+ (* -1/8 (PI)) (* 1/12 (PI))))) (* f (+ (* -1 (- (* 1/4 (* (PI) (+ (* -1/12 (PI)) (* 1/8 (PI))))) (* -1/4 (* (PI) (+ (* -1/8 (PI)) (* 1/12 (PI))))))) (* -1/6 (/ (* f (+ (* -3/4 (* (pow (PI) 2) (pow (- (+ (* -1/12 (PI)) (* 1/8 (PI))) (+ (* -1/8 (PI)) (* 1/12 (PI)))) 2))) (* 6 (* (PI) (- (+ (* -1/24 (* (pow (PI) 2) (+ (* -1/12 (PI)) (* 1/8 (PI))))) (+ (* -1/960 (pow (PI) 3)) (+ (* 1/384 (pow (PI) 3)) (* 1/4 (* (PI) (+ (* -1/48 (pow (PI) 2)) (+ (* 1/96 (pow (PI) 2)) (* 1/4 (* (PI) (+ (* -1/12 (PI)) (* 1/8 (PI)))))))))))) (+ (* -1/4 (* (PI) (+ (* -1/4 (* (PI) (+ (* -1/8 (PI)) (* 1/12 (PI))))) (+ (* -1/48 (pow (PI) 2)) (* 1/96 (pow (PI) 2)))))) (+ (* -1/24 (* (pow (PI) 2) (+ (* -1/8 (PI)) (* 1/12 (PI))))) (+ (* -1/384 (pow (PI) 3)) (* 1/960 (pow (PI) 3)))))))))) (PI))))))))
(+.f64 (*.f64 (-.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (log.f64 f)) (/.f64 #s(literal -4 binary64) (PI.f64))) (*.f64 (*.f64 f f) (+.f64 (*.f64 (PI.f64) #s(literal -1/12 binary64)) (/.f64 (*.f64 f (*.f64 #s(literal -1/6 binary64) (*.f64 f (+.f64 (*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/144 binary64)) (*.f64 #s(literal -3/4 binary64) (*.f64 (PI.f64) (PI.f64)))) (*.f64 (PI.f64) (*.f64 #s(literal 6 binary64) (+.f64 (-.f64 (*.f64 (*.f64 (PI.f64) (+.f64 (*.f64 (*.f64 (PI.f64) #s(literal -1/24 binary64)) #s(literal -1/4 binary64)) (*.f64 (PI.f64) #s(literal -1/96 binary64)))) (*.f64 (PI.f64) #s(literal 1/4 binary64))) (*.f64 (*.f64 (PI.f64) (PI.f64)) (+.f64 (*.f64 (*.f64 (PI.f64) #s(literal -1/24 binary64)) #s(literal -1/24 binary64)) (*.f64 (PI.f64) #s(literal -1/640 binary64))))) (-.f64 (*.f64 (*.f64 (PI.f64) (+.f64 (*.f64 (*.f64 (PI.f64) #s(literal -1/24 binary64)) #s(literal -1/4 binary64)) (*.f64 (PI.f64) #s(literal -1/96 binary64)))) (*.f64 (PI.f64) #s(literal 1/4 binary64))) (*.f64 (*.f64 (PI.f64) (PI.f64)) (+.f64 (*.f64 (*.f64 (PI.f64) #s(literal -1/24 binary64)) #s(literal -1/24 binary64)) (*.f64 (PI.f64) #s(literal -1/640 binary64)))))))))))) (PI.f64)))))
(* -4 (/ (log (- (/ 1 (- (exp (* 1/2 (* f (PI)))) 1)) (/ 1 (- (exp (* -1/2 (* f (PI)))) 1)))) (PI)))
(*.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 #s(literal -4 binary64) (PI.f64)))
(* -4 (/ (log (- (/ 1 (- (exp (* 1/2 (* f (PI)))) 1)) (/ 1 (- (exp (* -1/2 (* f (PI)))) 1)))) (PI)))
(*.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 #s(literal -4 binary64) (PI.f64)))
(* -4 (/ (log (- (/ 1 (- (exp (* 1/2 (* f (PI)))) 1)) (/ 1 (- (exp (* -1/2 (* f (PI)))) 1)))) (PI)))
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(* -1/2 (* f (PI)))
(*.f64 (PI.f64) (*.f64 f #s(literal -1/2 binary64)))
(* -1/2 (* f (PI)))
(*.f64 (PI.f64) (*.f64 f #s(literal -1/2 binary64)))

eval63.0ms (0.3%)

Memory
8.3MiB live, 104.4MiB allocated
Compiler

Compiled 9 866 to 1 084 computations (89% saved)

prune51.0ms (0.2%)

Memory
-10.7MiB live, 64.8MiB allocated
Pruning

11 alts after pruning (11 fresh and 0 done)

PrunedKeptTotal
New28311294
Fresh000
Picked101
Done000
Total28411295
Accuracy
99.8%
Counts
295 → 11
Alt Table
Click to see full alt table
StatusAccuracyProgram
29.7%
(/.f64 (/.f64 (-.f64 (pow.f64 (log.f64 (+.f64 (pow.f64 (expm1.f64 (*.f64 (PI.f64) (*.f64 f #s(literal 1/2 binary64)))) #s(literal -3 binary64)) (pow.f64 (-.f64 #s(literal 0 binary64) (expm1.f64 (*.f64 (PI.f64) (*.f64 f #s(literal -1/2 binary64))))) #s(literal -3 binary64)))) #s(literal 3 binary64)) (pow.f64 (log.f64 (+.f64 (pow.f64 (expm1.f64 (*.f64 (PI.f64) (*.f64 f #s(literal 1/2 binary64)))) #s(literal -2 binary64)) (/.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 #s(literal 0 binary64) (expm1.f64 (*.f64 (PI.f64) (*.f64 f #s(literal -1/2 binary64)))))))) #s(literal 3 binary64))) (+.f64 (*.f64 (log.f64 (+.f64 (pow.f64 (expm1.f64 (*.f64 (PI.f64) (*.f64 f #s(literal 1/2 binary64)))) #s(literal -3 binary64)) (pow.f64 (-.f64 #s(literal 0 binary64) (expm1.f64 (*.f64 (PI.f64) (*.f64 f #s(literal -1/2 binary64))))) #s(literal -3 binary64)))) (log.f64 (+.f64 (pow.f64 (expm1.f64 (*.f64 (PI.f64) (*.f64 f #s(literal 1/2 binary64)))) #s(literal -3 binary64)) (pow.f64 (-.f64 #s(literal 0 binary64) (expm1.f64 (*.f64 (PI.f64) (*.f64 f #s(literal -1/2 binary64))))) #s(literal -3 binary64))))) (+.f64 (*.f64 (log.f64 (+.f64 (pow.f64 (expm1.f64 (*.f64 (PI.f64) (*.f64 f #s(literal 1/2 binary64)))) #s(literal -2 binary64)) (/.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 #s(literal 0 binary64) (expm1.f64 (*.f64 (PI.f64) (*.f64 f #s(literal -1/2 binary64)))))))) (log.f64 (+.f64 (pow.f64 (expm1.f64 (*.f64 (PI.f64) (*.f64 f #s(literal 1/2 binary64)))) #s(literal -2 binary64)) (/.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 #s(literal 0 binary64) (expm1.f64 (*.f64 (PI.f64) (*.f64 f #s(literal -1/2 binary64))))))))) (*.f64 (log.f64 (+.f64 (pow.f64 (expm1.f64 (*.f64 (PI.f64) (*.f64 f #s(literal 1/2 binary64)))) #s(literal -3 binary64)) (pow.f64 (-.f64 #s(literal 0 binary64) (expm1.f64 (*.f64 (PI.f64) (*.f64 f #s(literal -1/2 binary64))))) #s(literal -3 binary64)))) (log.f64 (+.f64 (pow.f64 (expm1.f64 (*.f64 (PI.f64) (*.f64 f #s(literal 1/2 binary64)))) #s(literal -2 binary64)) (/.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 #s(literal 0 binary64) (expm1.f64 (*.f64 (PI.f64) (*.f64 f #s(literal -1/2 binary64)))))))))))) (/.f64 (PI.f64) #s(literal -4 binary64)))
▶99.0%
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (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 -4 binary64)))
▶96.6%
(/.f64 (log.f64 (/.f64 (+.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (*.f64 (*.f64 f f) (+.f64 (*.f64 (PI.f64) #s(literal 1/12 binary64)) (*.f64 f (*.f64 f (+.f64 (-.f64 (*.f64 (*.f64 (PI.f64) (+.f64 (*.f64 (*.f64 (PI.f64) #s(literal -1/24 binary64)) #s(literal -1/4 binary64)) (*.f64 (PI.f64) #s(literal -1/96 binary64)))) (*.f64 (PI.f64) #s(literal 1/4 binary64))) (*.f64 (*.f64 (PI.f64) (PI.f64)) (+.f64 (*.f64 (*.f64 (PI.f64) #s(literal -1/24 binary64)) #s(literal -1/24 binary64)) (*.f64 (PI.f64) #s(literal -1/640 binary64))))) (-.f64 (*.f64 (*.f64 (PI.f64) (+.f64 (*.f64 (*.f64 (PI.f64) #s(literal -1/24 binary64)) #s(literal -1/4 binary64)) (*.f64 (PI.f64) #s(literal -1/96 binary64)))) (*.f64 (PI.f64) #s(literal 1/4 binary64))) (*.f64 (*.f64 (PI.f64) (PI.f64)) (+.f64 (*.f64 (*.f64 (PI.f64) #s(literal -1/24 binary64)) #s(literal -1/24 binary64)) (*.f64 (PI.f64) #s(literal -1/640 binary64))))))))))) f)) (/.f64 (PI.f64) #s(literal -4 binary64)))
96.5%
(/.f64 (log.f64 (/.f64 (+.f64 (*.f64 (*.f64 f f) (*.f64 (PI.f64) #s(literal 1/12 binary64))) (/.f64 #s(literal 4 binary64) (PI.f64))) f)) (/.f64 (PI.f64) #s(literal -4 binary64)))
▶96.0%
(/.f64 (log.f64 (/.f64 #s(literal 4 binary64) (*.f64 (PI.f64) f))) (/.f64 (PI.f64) #s(literal -4 binary64)))
▶99.1%
(/.f64 (log.f64 (+.f64 (pow.f64 (pow.f64 (expm1.f64 (*.f64 (PI.f64) (*.f64 f #s(literal 1/2 binary64)))) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (/.f64 #s(literal -1 binary64) (expm1.f64 (*.f64 (PI.f64) (*.f64 f #s(literal -1/2 binary64))))))) (/.f64 (PI.f64) #s(literal -4 binary64)))
▶95.4%
(/.f64 (log.f64 (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 (PI.f64) f)) (/.f64 #s(literal -1 binary64) (expm1.f64 (*.f64 (PI.f64) (*.f64 f #s(literal -1/2 binary64))))))) (/.f64 (PI.f64) #s(literal -4 binary64)))
99.0%
(/.f64 #s(literal -4 binary64) (/.f64 (PI.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)))))))))
98.4%
(*.f64 (/.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))))))) (pow.f64 (PI.f64) #s(literal 2/3 binary64))) (/.f64 #s(literal -4 binary64) (cbrt.f64 (PI.f64))))
99.0%
(*.f64 (/.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))))))) (sqrt.f64 (PI.f64))) (/.f64 #s(literal -4 binary64) (sqrt.f64 (PI.f64))))
96.3%
(*.f64 (-.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (log.f64 f)) (/.f64 #s(literal -4 binary64) (PI.f64)))
Compiler

Compiled 1 030 to 456 computations (55.7% saved)

simplify403.0ms (1.9%)

Memory
7.4MiB live, 563.1MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(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)))))))
✓cost-diff0
(/.f64 #s(literal 1 binary64) (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))))))))
✓cost-diff0
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (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 -4 binary64)))
✓cost-diff256
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (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)))))))))
✓cost-diff0
(/.f64 #s(literal 2 binary64) (*.f64 (PI.f64) f))
✓cost-diff0
(+.f64 (/.f64 #s(literal 2 binary64) (*.f64 (PI.f64) f)) (/.f64 #s(literal -1 binary64) (expm1.f64 (*.f64 (PI.f64) (*.f64 f #s(literal -1/2 binary64))))))
✓cost-diff0
(log.f64 (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 (PI.f64) f)) (/.f64 #s(literal -1 binary64) (expm1.f64 (*.f64 (PI.f64) (*.f64 f #s(literal -1/2 binary64)))))))
✓cost-diff0
(/.f64 (log.f64 (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 (PI.f64) f)) (/.f64 #s(literal -1 binary64) (expm1.f64 (*.f64 (PI.f64) (*.f64 f #s(literal -1/2 binary64))))))) (/.f64 (PI.f64) #s(literal -4 binary64)))
✓cost-diff256
(+.f64 (*.f64 (*.f64 (PI.f64) #s(literal -1/24 binary64)) #s(literal -1/24 binary64)) (*.f64 (PI.f64) #s(literal -1/640 binary64)))
✓cost-diff256
(*.f64 (*.f64 (PI.f64) (+.f64 (*.f64 (*.f64 (PI.f64) #s(literal -1/24 binary64)) #s(literal -1/4 binary64)) (*.f64 (PI.f64) #s(literal -1/96 binary64)))) (*.f64 (PI.f64) #s(literal 1/4 binary64)))
✓cost-diff384
(+.f64 (*.f64 (*.f64 (PI.f64) #s(literal -1/24 binary64)) #s(literal -1/4 binary64)) (*.f64 (PI.f64) #s(literal -1/96 binary64)))
✓cost-diff512
(+.f64 (-.f64 (*.f64 (*.f64 (PI.f64) (+.f64 (*.f64 (*.f64 (PI.f64) #s(literal -1/24 binary64)) #s(literal -1/4 binary64)) (*.f64 (PI.f64) #s(literal -1/96 binary64)))) (*.f64 (PI.f64) #s(literal 1/4 binary64))) (*.f64 (*.f64 (PI.f64) (PI.f64)) (+.f64 (*.f64 (*.f64 (PI.f64) #s(literal -1/24 binary64)) #s(literal -1/24 binary64)) (*.f64 (PI.f64) #s(literal -1/640 binary64))))) (-.f64 (*.f64 (*.f64 (PI.f64) (+.f64 (*.f64 (*.f64 (PI.f64) #s(literal -1/24 binary64)) #s(literal -1/4 binary64)) (*.f64 (PI.f64) #s(literal -1/96 binary64)))) (*.f64 (PI.f64) #s(literal 1/4 binary64))) (*.f64 (*.f64 (PI.f64) (PI.f64)) (+.f64 (*.f64 (*.f64 (PI.f64) #s(literal -1/24 binary64)) #s(literal -1/24 binary64)) (*.f64 (PI.f64) #s(literal -1/640 binary64))))))
✓cost-diff0
(*.f64 (PI.f64) f)
✓cost-diff0
(/.f64 #s(literal 4 binary64) (*.f64 (PI.f64) f))
✓cost-diff0
(log.f64 (/.f64 #s(literal 4 binary64) (*.f64 (PI.f64) f)))
✓cost-diff0
(/.f64 (log.f64 (/.f64 #s(literal 4 binary64) (*.f64 (PI.f64) f))) (/.f64 (PI.f64) #s(literal -4 binary64)))
✓cost-diff0
(+.f64 (pow.f64 (pow.f64 (expm1.f64 (*.f64 (PI.f64) (*.f64 f #s(literal 1/2 binary64)))) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (/.f64 #s(literal -1 binary64) (expm1.f64 (*.f64 (PI.f64) (*.f64 f #s(literal -1/2 binary64))))))
✓cost-diff0
(log.f64 (+.f64 (pow.f64 (pow.f64 (expm1.f64 (*.f64 (PI.f64) (*.f64 f #s(literal 1/2 binary64)))) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (/.f64 #s(literal -1 binary64) (expm1.f64 (*.f64 (PI.f64) (*.f64 f #s(literal -1/2 binary64)))))))
✓cost-diff0
(/.f64 (log.f64 (+.f64 (pow.f64 (pow.f64 (expm1.f64 (*.f64 (PI.f64) (*.f64 f #s(literal 1/2 binary64)))) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (/.f64 #s(literal -1 binary64) (expm1.f64 (*.f64 (PI.f64) (*.f64 f #s(literal -1/2 binary64))))))) (/.f64 (PI.f64) #s(literal -4 binary64)))
✓cost-diff12800
(pow.f64 (pow.f64 (expm1.f64 (*.f64 (PI.f64) (*.f64 f #s(literal 1/2 binary64)))) #s(literal -1/2 binary64)) #s(literal 2 binary64))
Rules
10 496×accelerator-lowering-fma.f32
10 496×accelerator-lowering-fma.f64
4 142×*-lowering-*.f32
4 142×*-lowering-*.f64
1 660×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
069934
1171796
2466658
31791648
45148639
08387582
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(/ (log (+ (pow (pow (- (exp (* (PI) (* f 1/2))) 1) -1/2) 2) (/ -1 (- (exp (* (PI) (* f -1/2))) 1)))) (/ (PI) -4))
(log (+ (pow (pow (- (exp (* (PI) (* f 1/2))) 1) -1/2) 2) (/ -1 (- (exp (* (PI) (* f -1/2))) 1))))
(+ (pow (pow (- (exp (* (PI) (* f 1/2))) 1) -1/2) 2) (/ -1 (- (exp (* (PI) (* f -1/2))) 1)))
(pow (pow (- (exp (* (PI) (* f 1/2))) 1) -1/2) 2)
(pow (- (exp (* (PI) (* f 1/2))) 1) -1/2)
(- (exp (* (PI) (* f 1/2))) 1)
(* (PI) (* f 1/2))
(PI)
(* f 1/2)
f
1/2
-1/2
2
(/ -1 (- (exp (* (PI) (* f -1/2))) 1))
-1
(- (exp (* (PI) (* f -1/2))) 1)
(* (PI) (* f -1/2))
(* f -1/2)
(/ (PI) -4)
-4
(/ (log (/ 4 (* (PI) f))) (/ (PI) -4))
(log (/ 4 (* (PI) f)))
(/ 4 (* (PI) f))
4
(* (PI) f)
(PI)
f
(/ (PI) -4)
-4
(/ (log (/ (+ (/ 4 (PI)) (* (* f f) (+ (* (PI) 1/12) (* f (* f (+ (- (* (* (PI) (+ (* (* (PI) -1/24) -1/4) (* (PI) -1/96))) (* (PI) 1/4)) (* (* (PI) (PI)) (+ (* (* (PI) -1/24) -1/24) (* (PI) -1/640)))) (- (* (* (PI) (+ (* (* (PI) -1/24) -1/4) (* (PI) -1/96))) (* (PI) 1/4)) (* (* (PI) (PI)) (+ (* (* (PI) -1/24) -1/24) (* (PI) -1/640)))))))))) f)) (/ (PI) -4))
(log (/ (+ (/ 4 (PI)) (* (* f f) (+ (* (PI) 1/12) (* f (* f (+ (- (* (* (PI) (+ (* (* (PI) -1/24) -1/4) (* (PI) -1/96))) (* (PI) 1/4)) (* (* (PI) (PI)) (+ (* (* (PI) -1/24) -1/24) (* (PI) -1/640)))) (- (* (* (PI) (+ (* (* (PI) -1/24) -1/4) (* (PI) -1/96))) (* (PI) 1/4)) (* (* (PI) (PI)) (+ (* (* (PI) -1/24) -1/24) (* (PI) -1/640)))))))))) f))
(/ (+ (/ 4 (PI)) (* (* f f) (+ (* (PI) 1/12) (* f (* f (+ (- (* (* (PI) (+ (* (* (PI) -1/24) -1/4) (* (PI) -1/96))) (* (PI) 1/4)) (* (* (PI) (PI)) (+ (* (* (PI) -1/24) -1/24) (* (PI) -1/640)))) (- (* (* (PI) (+ (* (* (PI) -1/24) -1/4) (* (PI) -1/96))) (* (PI) 1/4)) (* (* (PI) (PI)) (+ (* (* (PI) -1/24) -1/24) (* (PI) -1/640)))))))))) f)
(+ (/ 4 (PI)) (* (* f f) (+ (* (PI) 1/12) (* f (* f (+ (- (* (* (PI) (+ (* (* (PI) -1/24) -1/4) (* (PI) -1/96))) (* (PI) 1/4)) (* (* (PI) (PI)) (+ (* (* (PI) -1/24) -1/24) (* (PI) -1/640)))) (- (* (* (PI) (+ (* (* (PI) -1/24) -1/4) (* (PI) -1/96))) (* (PI) 1/4)) (* (* (PI) (PI)) (+ (* (* (PI) -1/24) -1/24) (* (PI) -1/640))))))))))
(/ 4 (PI))
4
(PI)
(* (* f f) (+ (* (PI) 1/12) (* f (* f (+ (- (* (* (PI) (+ (* (* (PI) -1/24) -1/4) (* (PI) -1/96))) (* (PI) 1/4)) (* (* (PI) (PI)) (+ (* (* (PI) -1/24) -1/24) (* (PI) -1/640)))) (- (* (* (PI) (+ (* (* (PI) -1/24) -1/4) (* (PI) -1/96))) (* (PI) 1/4)) (* (* (PI) (PI)) (+ (* (* (PI) -1/24) -1/24) (* (PI) -1/640)))))))))
(* f f)
f
(+ (* (PI) 1/12) (* f (* f (+ (- (* (* (PI) (+ (* (* (PI) -1/24) -1/4) (* (PI) -1/96))) (* (PI) 1/4)) (* (* (PI) (PI)) (+ (* (* (PI) -1/24) -1/24) (* (PI) -1/640)))) (- (* (* (PI) (+ (* (* (PI) -1/24) -1/4) (* (PI) -1/96))) (* (PI) 1/4)) (* (* (PI) (PI)) (+ (* (* (PI) -1/24) -1/24) (* (PI) -1/640))))))))
(* (PI) 1/12)
1/12
(* f (* f (+ (- (* (* (PI) (+ (* (* (PI) -1/24) -1/4) (* (PI) -1/96))) (* (PI) 1/4)) (* (* (PI) (PI)) (+ (* (* (PI) -1/24) -1/24) (* (PI) -1/640)))) (- (* (* (PI) (+ (* (* (PI) -1/24) -1/4) (* (PI) -1/96))) (* (PI) 1/4)) (* (* (PI) (PI)) (+ (* (* (PI) -1/24) -1/24) (* (PI) -1/640)))))))
(* f (+ (- (* (* (PI) (+ (* (* (PI) -1/24) -1/4) (* (PI) -1/96))) (* (PI) 1/4)) (* (* (PI) (PI)) (+ (* (* (PI) -1/24) -1/24) (* (PI) -1/640)))) (- (* (* (PI) (+ (* (* (PI) -1/24) -1/4) (* (PI) -1/96))) (* (PI) 1/4)) (* (* (PI) (PI)) (+ (* (* (PI) -1/24) -1/24) (* (PI) -1/640))))))
(+ (- (* (* (PI) (+ (* (* (PI) -1/24) -1/4) (* (PI) -1/96))) (* (PI) 1/4)) (* (* (PI) (PI)) (+ (* (* (PI) -1/24) -1/24) (* (PI) -1/640)))) (- (* (* (PI) (+ (* (* (PI) -1/24) -1/4) (* (PI) -1/96))) (* (PI) 1/4)) (* (* (PI) (PI)) (+ (* (* (PI) -1/24) -1/24) (* (PI) -1/640)))))
(- (* (* (PI) (+ (* (* (PI) -1/24) -1/4) (* (PI) -1/96))) (* (PI) 1/4)) (* (* (PI) (PI)) (+ (* (* (PI) -1/24) -1/24) (* (PI) -1/640))))
(* (* (PI) (+ (* (* (PI) -1/24) -1/4) (* (PI) -1/96))) (* (PI) 1/4))
(* (PI) (+ (* (* (PI) -1/24) -1/4) (* (PI) -1/96)))
(+ (* (* (PI) -1/24) -1/4) (* (PI) -1/96))
(* (* (PI) -1/24) -1/4)
(* (PI) -1/24)
-1/24
-1/4
(* (PI) -1/96)
-1/96
(* (PI) 1/4)
1/4
(* (* (PI) (PI)) (+ (* (* (PI) -1/24) -1/24) (* (PI) -1/640)))
(* (PI) (PI))
(+ (* (* (PI) -1/24) -1/24) (* (PI) -1/640))
(* (* (PI) -1/24) -1/24)
(* (PI) -1/640)
-1/640
(/ (PI) -4)
-4
(/ (log (+ (/ 2 (* (PI) f)) (/ -1 (- (exp (* (PI) (* f -1/2))) 1)))) (/ (PI) -4))
(log (+ (/ 2 (* (PI) f)) (/ -1 (- (exp (* (PI) (* f -1/2))) 1))))
(+ (/ 2 (* (PI) f)) (/ -1 (- (exp (* (PI) (* f -1/2))) 1)))
(/ 2 (* (PI) f))
2
(* (PI) f)
(PI)
f
(/ -1 (- (exp (* (PI) (* f -1/2))) 1))
-1
(- (exp (* (PI) (* f -1/2))) 1)
(* (PI) (* f -1/2))
(* f -1/2)
-1/2
(/ (PI) -4)
-4
(/ (/ 1 (/ 1 (log (+ (/ 1 (- (exp (* (PI) (* f 1/2))) 1)) (/ -1 (- (exp (* (PI) (* f -1/2))) 1)))))) (/ (PI) -4))
(/ 1 (/ 1 (log (+ (/ 1 (- (exp (* (PI) (* f 1/2))) 1)) (/ -1 (- (exp (* (PI) (* f -1/2))) 1))))))
1
(/ 1 (log (+ (/ 1 (- (exp (* (PI) (* f 1/2))) 1)) (/ -1 (- (exp (* (PI) (* f -1/2))) 1)))))
(log (+ (/ 1 (- (exp (* (PI) (* f 1/2))) 1)) (/ -1 (- (exp (* (PI) (* f -1/2))) 1))))
(+ (/ 1 (- (exp (* (PI) (* f 1/2))) 1)) (/ -1 (- (exp (* (PI) (* f -1/2))) 1)))
(/ 1 (- (exp (* (PI) (* f 1/2))) 1))
(- (exp (* (PI) (* f 1/2))) 1)
(* (PI) (* f 1/2))
(PI)
(* f 1/2)
f
1/2
(/ -1 (- (exp (* (PI) (* f -1/2))) 1))
-1
(- (exp (* (PI) (* f -1/2))) 1)
(* (PI) (* f -1/2))
(* f -1/2)
-1/2
(/ (PI) -4)
-4
Outputs
(/ (log (+ (pow (pow (- (exp (* (PI) (* f 1/2))) 1) -1/2) 2) (/ -1 (- (exp (* (PI) (* f -1/2))) 1)))) (/ (PI) -4))
(/.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 -4 binary64)))
(log (+ (pow (pow (- (exp (* (PI) (* f 1/2))) 1) -1/2) 2) (/ -1 (- (exp (* (PI) (* f -1/2))) 1))))
(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)))))))
(+ (pow (pow (- (exp (* (PI) (* f 1/2))) 1) -1/2) 2) (/ -1 (- (exp (* (PI) (* f -1/2))) 1)))
(+.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))))))
(pow (pow (- (exp (* (PI) (* f 1/2))) 1) -1/2) 2)
(/.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (PI.f64) (*.f64 f #s(literal 1/2 binary64)))))
(pow (- (exp (* (PI) (* f 1/2))) 1) -1/2)
(pow.f64 (expm1.f64 (*.f64 (PI.f64) (*.f64 f #s(literal 1/2 binary64)))) #s(literal -1/2 binary64))
(- (exp (* (PI) (* f 1/2))) 1)
(expm1.f64 (*.f64 (PI.f64) (*.f64 f #s(literal 1/2 binary64))))
(* (PI) (* f 1/2))
(*.f64 (PI.f64) (*.f64 f #s(literal 1/2 binary64)))
(PI)
(PI.f64)
(* f 1/2)
(*.f64 f #s(literal 1/2 binary64))
f
1/2
#s(literal 1/2 binary64)
-1/2
#s(literal -1/2 binary64)
2
#s(literal 2 binary64)
(/ -1 (- (exp (* (PI) (* f -1/2))) 1))
(/.f64 #s(literal -1 binary64) (expm1.f64 (*.f64 (PI.f64) (*.f64 f #s(literal -1/2 binary64)))))
-1
#s(literal -1 binary64)
(- (exp (* (PI) (* f -1/2))) 1)
(expm1.f64 (*.f64 (PI.f64) (*.f64 f #s(literal -1/2 binary64))))
(* (PI) (* f -1/2))
(*.f64 (PI.f64) (*.f64 f #s(literal -1/2 binary64)))
(* f -1/2)
(*.f64 f #s(literal -1/2 binary64))
(/ (PI) -4)
(/.f64 (PI.f64) #s(literal -4 binary64))
-4
#s(literal -4 binary64)
(/ (log (/ 4 (* (PI) f))) (/ (PI) -4))
(/.f64 (log.f64 (/.f64 #s(literal 4 binary64) (*.f64 (PI.f64) f))) (/.f64 (PI.f64) #s(literal -4 binary64)))
(log (/ 4 (* (PI) f)))
(log.f64 (/.f64 #s(literal 4 binary64) (*.f64 (PI.f64) f)))
(/ 4 (* (PI) f))
(/.f64 #s(literal 4 binary64) (*.f64 (PI.f64) f))
4
#s(literal 4 binary64)
(* (PI) f)
(*.f64 (PI.f64) f)
(PI)
(PI.f64)
f
(/ (PI) -4)
(/.f64 (PI.f64) #s(literal -4 binary64))
-4
#s(literal -4 binary64)
(/ (log (/ (+ (/ 4 (PI)) (* (* f f) (+ (* (PI) 1/12) (* f (* f (+ (- (* (* (PI) (+ (* (* (PI) -1/24) -1/4) (* (PI) -1/96))) (* (PI) 1/4)) (* (* (PI) (PI)) (+ (* (* (PI) -1/24) -1/24) (* (PI) -1/640)))) (- (* (* (PI) (+ (* (* (PI) -1/24) -1/4) (* (PI) -1/96))) (* (PI) 1/4)) (* (* (PI) (PI)) (+ (* (* (PI) -1/24) -1/24) (* (PI) -1/640)))))))))) f)) (/ (PI) -4))
(/.f64 (log.f64 (/.f64 (+.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (*.f64 (*.f64 f f) (*.f64 (PI.f64) (+.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 f f) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal -1/2880 binary64))))))) f)) (/.f64 (PI.f64) #s(literal -4 binary64)))
(log (/ (+ (/ 4 (PI)) (* (* f f) (+ (* (PI) 1/12) (* f (* f (+ (- (* (* (PI) (+ (* (* (PI) -1/24) -1/4) (* (PI) -1/96))) (* (PI) 1/4)) (* (* (PI) (PI)) (+ (* (* (PI) -1/24) -1/24) (* (PI) -1/640)))) (- (* (* (PI) (+ (* (* (PI) -1/24) -1/4) (* (PI) -1/96))) (* (PI) 1/4)) (* (* (PI) (PI)) (+ (* (* (PI) -1/24) -1/24) (* (PI) -1/640)))))))))) f))
(log.f64 (/.f64 (+.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (*.f64 (*.f64 f f) (*.f64 (PI.f64) (+.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 f f) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal -1/2880 binary64))))))) f))
(/ (+ (/ 4 (PI)) (* (* f f) (+ (* (PI) 1/12) (* f (* f (+ (- (* (* (PI) (+ (* (* (PI) -1/24) -1/4) (* (PI) -1/96))) (* (PI) 1/4)) (* (* (PI) (PI)) (+ (* (* (PI) -1/24) -1/24) (* (PI) -1/640)))) (- (* (* (PI) (+ (* (* (PI) -1/24) -1/4) (* (PI) -1/96))) (* (PI) 1/4)) (* (* (PI) (PI)) (+ (* (* (PI) -1/24) -1/24) (* (PI) -1/640)))))))))) f)
(/.f64 (+.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (*.f64 (*.f64 f f) (*.f64 (PI.f64) (+.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 f f) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal -1/2880 binary64))))))) f)
(+ (/ 4 (PI)) (* (* f f) (+ (* (PI) 1/12) (* f (* f (+ (- (* (* (PI) (+ (* (* (PI) -1/24) -1/4) (* (PI) -1/96))) (* (PI) 1/4)) (* (* (PI) (PI)) (+ (* (* (PI) -1/24) -1/24) (* (PI) -1/640)))) (- (* (* (PI) (+ (* (* (PI) -1/24) -1/4) (* (PI) -1/96))) (* (PI) 1/4)) (* (* (PI) (PI)) (+ (* (* (PI) -1/24) -1/24) (* (PI) -1/640))))))))))
(+.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (*.f64 (*.f64 f f) (*.f64 (PI.f64) (+.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 f f) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal -1/2880 binary64)))))))
(/ 4 (PI))
(/.f64 #s(literal 4 binary64) (PI.f64))
4
#s(literal 4 binary64)
(PI)
(PI.f64)
(* (* f f) (+ (* (PI) 1/12) (* f (* f (+ (- (* (* (PI) (+ (* (* (PI) -1/24) -1/4) (* (PI) -1/96))) (* (PI) 1/4)) (* (* (PI) (PI)) (+ (* (* (PI) -1/24) -1/24) (* (PI) -1/640)))) (- (* (* (PI) (+ (* (* (PI) -1/24) -1/4) (* (PI) -1/96))) (* (PI) 1/4)) (* (* (PI) (PI)) (+ (* (* (PI) -1/24) -1/24) (* (PI) -1/640)))))))))
(*.f64 (*.f64 f f) (*.f64 (PI.f64) (+.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 f f) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal -1/2880 binary64))))))
(* f f)
(*.f64 f f)
f
(+ (* (PI) 1/12) (* f (* f (+ (- (* (* (PI) (+ (* (* (PI) -1/24) -1/4) (* (PI) -1/96))) (* (PI) 1/4)) (* (* (PI) (PI)) (+ (* (* (PI) -1/24) -1/24) (* (PI) -1/640)))) (- (* (* (PI) (+ (* (* (PI) -1/24) -1/4) (* (PI) -1/96))) (* (PI) 1/4)) (* (* (PI) (PI)) (+ (* (* (PI) -1/24) -1/24) (* (PI) -1/640))))))))
(*.f64 (PI.f64) (+.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 f f) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal -1/2880 binary64)))))
(* (PI) 1/12)
(*.f64 (PI.f64) #s(literal 1/12 binary64))
1/12
#s(literal 1/12 binary64)
(* f (* f (+ (- (* (* (PI) (+ (* (* (PI) -1/24) -1/4) (* (PI) -1/96))) (* (PI) 1/4)) (* (* (PI) (PI)) (+ (* (* (PI) -1/24) -1/24) (* (PI) -1/640)))) (- (* (* (PI) (+ (* (* (PI) -1/24) -1/4) (* (PI) -1/96))) (* (PI) 1/4)) (* (* (PI) (PI)) (+ (* (* (PI) -1/24) -1/24) (* (PI) -1/640)))))))
(*.f64 (*.f64 f f) (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal -1/2880 binary64)))
(* f (+ (- (* (* (PI) (+ (* (* (PI) -1/24) -1/4) (* (PI) -1/96))) (* (PI) 1/4)) (* (* (PI) (PI)) (+ (* (* (PI) -1/24) -1/24) (* (PI) -1/640)))) (- (* (* (PI) (+ (* (* (PI) -1/24) -1/4) (* (PI) -1/96))) (* (PI) 1/4)) (* (* (PI) (PI)) (+ (* (* (PI) -1/24) -1/24) (* (PI) -1/640))))))
(*.f64 (PI.f64) (*.f64 f (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal -1/2880 binary64))))
(+ (- (* (* (PI) (+ (* (* (PI) -1/24) -1/4) (* (PI) -1/96))) (* (PI) 1/4)) (* (* (PI) (PI)) (+ (* (* (PI) -1/24) -1/24) (* (PI) -1/640)))) (- (* (* (PI) (+ (* (* (PI) -1/24) -1/4) (* (PI) -1/96))) (* (PI) 1/4)) (* (* (PI) (PI)) (+ (* (* (PI) -1/24) -1/24) (* (PI) -1/640)))))
(*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal -1/2880 binary64))
(- (* (* (PI) (+ (* (* (PI) -1/24) -1/4) (* (PI) -1/96))) (* (PI) 1/4)) (* (* (PI) (PI)) (+ (* (* (PI) -1/24) -1/24) (* (PI) -1/640))))
(*.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal -1/5760 binary64)))
(* (* (PI) (+ (* (* (PI) -1/24) -1/4) (* (PI) -1/96))) (* (PI) 1/4))
#s(literal 0 binary64)
(* (PI) (+ (* (* (PI) -1/24) -1/4) (* (PI) -1/96)))
#s(literal 0 binary64)
(+ (* (* (PI) -1/24) -1/4) (* (PI) -1/96))
#s(literal 0 binary64)
(* (* (PI) -1/24) -1/4)
(*.f64 (PI.f64) #s(literal 1/96 binary64))
(* (PI) -1/24)
(*.f64 (PI.f64) #s(literal -1/24 binary64))
-1/24
#s(literal -1/24 binary64)
-1/4
#s(literal -1/4 binary64)
(* (PI) -1/96)
(*.f64 (PI.f64) #s(literal -1/96 binary64))
-1/96
#s(literal -1/96 binary64)
(* (PI) 1/4)
(/.f64 (PI.f64) #s(literal 4 binary64))
1/4
#s(literal 1/4 binary64)
(* (* (PI) (PI)) (+ (* (* (PI) -1/24) -1/24) (* (PI) -1/640)))
(*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) #s(literal 1/5760 binary64)))
(* (PI) (PI))
(*.f64 (PI.f64) (PI.f64))
(+ (* (* (PI) -1/24) -1/24) (* (PI) -1/640))
(*.f64 (PI.f64) #s(literal 1/5760 binary64))
(* (* (PI) -1/24) -1/24)
(*.f64 (PI.f64) #s(literal 1/576 binary64))
(* (PI) -1/640)
(*.f64 (PI.f64) #s(literal -1/640 binary64))
-1/640
#s(literal -1/640 binary64)
(/ (PI) -4)
(/.f64 (PI.f64) #s(literal -4 binary64))
-4
#s(literal -4 binary64)
(/ (log (+ (/ 2 (* (PI) f)) (/ -1 (- (exp (* (PI) (* f -1/2))) 1)))) (/ (PI) -4))
(/.f64 (log.f64 (+.f64 (/.f64 #s(literal -1 binary64) (expm1.f64 (*.f64 (PI.f64) (*.f64 f #s(literal -1/2 binary64))))) (/.f64 #s(literal 2 binary64) (*.f64 (PI.f64) f)))) (/.f64 (PI.f64) #s(literal -4 binary64)))
(log (+ (/ 2 (* (PI) f)) (/ -1 (- (exp (* (PI) (* f -1/2))) 1))))
(log.f64 (+.f64 (/.f64 #s(literal -1 binary64) (expm1.f64 (*.f64 (PI.f64) (*.f64 f #s(literal -1/2 binary64))))) (/.f64 #s(literal 2 binary64) (*.f64 (PI.f64) f))))
(+ (/ 2 (* (PI) f)) (/ -1 (- (exp (* (PI) (* f -1/2))) 1)))
(+.f64 (/.f64 #s(literal -1 binary64) (expm1.f64 (*.f64 (PI.f64) (*.f64 f #s(literal -1/2 binary64))))) (/.f64 #s(literal 2 binary64) (*.f64 (PI.f64) f)))
(/ 2 (* (PI) f))
(/.f64 #s(literal 2 binary64) (*.f64 (PI.f64) f))
2
#s(literal 2 binary64)
(* (PI) f)
(*.f64 (PI.f64) f)
(PI)
(PI.f64)
f
(/ -1 (- (exp (* (PI) (* f -1/2))) 1))
(/.f64 #s(literal -1 binary64) (expm1.f64 (*.f64 (PI.f64) (*.f64 f #s(literal -1/2 binary64)))))
-1
#s(literal -1 binary64)
(- (exp (* (PI) (* f -1/2))) 1)
(expm1.f64 (*.f64 (PI.f64) (*.f64 f #s(literal -1/2 binary64))))
(* (PI) (* f -1/2))
(*.f64 (PI.f64) (*.f64 f #s(literal -1/2 binary64)))
(* f -1/2)
(*.f64 f #s(literal -1/2 binary64))
-1/2
#s(literal -1/2 binary64)
(/ (PI) -4)
(/.f64 (PI.f64) #s(literal -4 binary64))
-4
#s(literal -4 binary64)
(/ (/ 1 (/ 1 (log (+ (/ 1 (- (exp (* (PI) (* f 1/2))) 1)) (/ -1 (- (exp (* (PI) (* f -1/2))) 1)))))) (/ (PI) -4))
(/.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 -4 binary64)))
(/ 1 (/ 1 (log (+ (/ 1 (- (exp (* (PI) (* f 1/2))) 1)) (/ -1 (- (exp (* (PI) (* f -1/2))) 1))))))
(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)))))))
1
#s(literal 1 binary64)
(/ 1 (log (+ (/ 1 (- (exp (* (PI) (* f 1/2))) 1)) (/ -1 (- (exp (* (PI) (* f -1/2))) 1)))))
(/.f64 #s(literal 1 binary64) (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))))))))
(log (+ (/ 1 (- (exp (* (PI) (* f 1/2))) 1)) (/ -1 (- (exp (* (PI) (* f -1/2))) 1))))
(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)))))))
(+ (/ 1 (- (exp (* (PI) (* f 1/2))) 1)) (/ -1 (- (exp (* (PI) (* f -1/2))) 1)))
(+.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))))))
(/ 1 (- (exp (* (PI) (* f 1/2))) 1))
(/.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (PI.f64) (*.f64 f #s(literal 1/2 binary64)))))
(- (exp (* (PI) (* f 1/2))) 1)
(expm1.f64 (*.f64 (PI.f64) (*.f64 f #s(literal 1/2 binary64))))
(* (PI) (* f 1/2))
(*.f64 (PI.f64) (*.f64 f #s(literal 1/2 binary64)))
(PI)
(PI.f64)
(* f 1/2)
(*.f64 f #s(literal 1/2 binary64))
f
1/2
#s(literal 1/2 binary64)
(/ -1 (- (exp (* (PI) (* f -1/2))) 1))
(/.f64 #s(literal -1 binary64) (expm1.f64 (*.f64 (PI.f64) (*.f64 f #s(literal -1/2 binary64)))))
-1
#s(literal -1 binary64)
(- (exp (* (PI) (* f -1/2))) 1)
(expm1.f64 (*.f64 (PI.f64) (*.f64 f #s(literal -1/2 binary64))))
(* (PI) (* f -1/2))
(*.f64 (PI.f64) (*.f64 f #s(literal -1/2 binary64)))
(* f -1/2)
(*.f64 f #s(literal -1/2 binary64))
-1/2
#s(literal -1/2 binary64)
(/ (PI) -4)
(/.f64 (PI.f64) #s(literal -4 binary64))
-4
#s(literal -4 binary64)

localize723.0ms (3.4%)

Memory
-15.8MiB live, 1 221.2MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
✓accuracy99.5%
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (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 -4 binary64)))
✓accuracy99.5%
(/.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (PI.f64) (*.f64 f #s(literal 1/2 binary64)))))
✓accuracy99.5%
(/.f64 #s(literal -1 binary64) (expm1.f64 (*.f64 (PI.f64) (*.f64 f #s(literal -1/2 binary64)))))
✓accuracy98.1%
(PI.f64)
✓accuracy99.5%
(/.f64 (log.f64 (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 (PI.f64) f)) (/.f64 #s(literal -1 binary64) (expm1.f64 (*.f64 (PI.f64) (*.f64 f #s(literal -1/2 binary64))))))) (/.f64 (PI.f64) #s(literal -4 binary64)))
✓accuracy99.5%
(/.f64 #s(literal -1 binary64) (expm1.f64 (*.f64 (PI.f64) (*.f64 f #s(literal -1/2 binary64)))))
✓accuracy99.5%
(/.f64 #s(literal 2 binary64) (*.f64 (PI.f64) f))
✓accuracy98.1%
(PI.f64)
✓accuracy98.5%
(*.f64 (PI.f64) #s(literal 1/12 binary64))
✓accuracy98.5%
(*.f64 (PI.f64) #s(literal -1/96 binary64))
✓accuracy98.5%
(*.f64 (PI.f64) #s(literal -1/24 binary64))
✓accuracy98.1%
(PI.f64)
✓accuracy99.6%
(*.f64 (PI.f64) f)
✓accuracy99.5%
(/.f64 (log.f64 (/.f64 #s(literal 4 binary64) (*.f64 (PI.f64) f))) (/.f64 (PI.f64) #s(literal -4 binary64)))
✓accuracy99.5%
(/.f64 #s(literal 4 binary64) (*.f64 (PI.f64) f))
✓accuracy98.1%
(PI.f64)
✓accuracy99.5%
(/.f64 (log.f64 (+.f64 (pow.f64 (pow.f64 (expm1.f64 (*.f64 (PI.f64) (*.f64 f #s(literal 1/2 binary64)))) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (/.f64 #s(literal -1 binary64) (expm1.f64 (*.f64 (PI.f64) (*.f64 f #s(literal -1/2 binary64))))))) (/.f64 (PI.f64) #s(literal -4 binary64)))
✓accuracy99.5%
(/.f64 #s(literal -1 binary64) (expm1.f64 (*.f64 (PI.f64) (*.f64 f #s(literal -1/2 binary64)))))
✓accuracy99.2%
(pow.f64 (pow.f64 (expm1.f64 (*.f64 (PI.f64) (*.f64 f #s(literal 1/2 binary64)))) #s(literal -1/2 binary64)) #s(literal 2 binary64))
✓accuracy98.1%
(PI.f64)
Samples
484.0ms251×2valid
3.0ms5×0invalid
Compiler

Compiled 1 170 to 69 computations (94.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 386.0ms
ival-mult: 101.0ms (26.1% of total)
ival-div: 68.0ms (17.6% of total)
const: 46.0ms (11.9% of total)
ival-log: 46.0ms (11.9% of total)
ival-add: 44.0ms (11.4% of total)
adjust: 33.0ms (8.5% of total)
ival-pow: 17.0ms (4.4% of total)
ival-expm1: 13.0ms (3.4% of total)
ival-pow2: 8.0ms (2.1% of total)
ival-pi: 4.0ms (1% of total)
ival-sub: 3.0ms (0.8% of total)
exact: 2.0ms (0.5% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series80.0ms (0.4%)

Memory
34.2MiB live, 109.4MiB allocated
Counts
26 → 216
Calls
Call 1
Inputs
#<alt (pow (pow (- (exp (* (PI) (* f 1/2))) 1) -1/2) 2)>
#<alt (/ (log (+ (pow (pow (- (exp (* (PI) (* f 1/2))) 1) -1/2) 2) (/ -1 (- (exp (* (PI) (* f -1/2))) 1)))) (/ (PI) -4))>
#<alt (log (+ (pow (pow (- (exp (* (PI) (* f 1/2))) 1) -1/2) 2) (/ -1 (- (exp (* (PI) (* f -1/2))) 1))))>
#<alt (+ (pow (pow (- (exp (* (PI) (* f 1/2))) 1) -1/2) 2) (/ -1 (- (exp (* (PI) (* f -1/2))) 1)))>
#<alt (/ (log (/ 4 (* (PI) f))) (/ (PI) -4))>
#<alt (log (/ 4 (* (PI) f)))>
#<alt (/ 4 (* (PI) f))>
#<alt (* (PI) f)>
#<alt (+ (- (* (* (PI) (+ (* (* (PI) -1/24) -1/4) (* (PI) -1/96))) (* (PI) 1/4)) (* (* (PI) (PI)) (+ (* (* (PI) -1/24) -1/24) (* (PI) -1/640)))) (- (* (* (PI) (+ (* (* (PI) -1/24) -1/4) (* (PI) -1/96))) (* (PI) 1/4)) (* (* (PI) (PI)) (+ (* (* (PI) -1/24) -1/24) (* (PI) -1/640)))))>
#<alt (+ (* (* (PI) -1/24) -1/4) (* (PI) -1/96))>
#<alt (* (* (PI) (+ (* (* (PI) -1/24) -1/4) (* (PI) -1/96))) (* (PI) 1/4))>
#<alt (+ (* (* (PI) -1/24) -1/24) (* (PI) -1/640))>
#<alt (/ (log (+ (/ 2 (* (PI) f)) (/ -1 (- (exp (* (PI) (* f -1/2))) 1)))) (/ (PI) -4))>
#<alt (log (+ (/ 2 (* (PI) f)) (/ -1 (- (exp (* (PI) (* f -1/2))) 1))))>
#<alt (+ (/ 2 (* (PI) f)) (/ -1 (- (exp (* (PI) (* f -1/2))) 1)))>
#<alt (/ 2 (* (PI) f))>
#<alt (/ 1 (/ 1 (log (+ (/ 1 (- (exp (* (PI) (* f 1/2))) 1)) (/ -1 (- (exp (* (PI) (* f -1/2))) 1))))))>
#<alt (/ (/ 1 (/ 1 (log (+ (/ 1 (- (exp (* (PI) (* f 1/2))) 1)) (/ -1 (- (exp (* (PI) (* f -1/2))) 1)))))) (/ (PI) -4))>
#<alt (/ 1 (log (+ (/ 1 (- (exp (* (PI) (* f 1/2))) 1)) (/ -1 (- (exp (* (PI) (* f -1/2))) 1)))))>
#<alt (log (+ (/ 1 (- (exp (* (PI) (* f 1/2))) 1)) (/ -1 (- (exp (* (PI) (* f -1/2))) 1))))>
#<alt (PI)>
#<alt (/ -1 (- (exp (* (PI) (* f -1/2))) 1))>
#<alt (* (PI) -1/24)>
#<alt (* (PI) -1/96)>
#<alt (* (PI) 1/12)>
#<alt (/ 1 (- (exp (* (PI) (* f 1/2))) 1))>
Outputs
#<alt (/ 2 (* f (PI)))>
#<alt (/ (+ (* -1/2 f) (* 2 (/ 1 (PI)))) f)>
#<alt (/ (+ (* f (- (* -1 (* f (+ (* -1/8 (PI)) (* 1/12 (PI))))) 1/2)) (* 2 (/ 1 (PI)))) f)>
#<alt (/ (+ (* f (- (* f (- (* -1 (* f (+ (* -1/4 (* (PI) (+ (* -1/8 (PI)) (* 1/12 (PI))))) (+ (* -1/48 (pow (PI) 2)) (* 1/96 (pow (PI) 2)))))) (+ (* -1/8 (PI)) (* 1/12 (PI))))) 1/2)) (* 2 (/ 1 (PI)))) f)>
#<alt (/ 1 (- (exp (* 1/2 (* f (PI)))) 1))>
#<alt (/ 1 (- (exp (* 1/2 (* f (PI)))) 1))>
#<alt (/ 1 (- (exp (* 1/2 (* f (PI)))) 1))>
#<alt (/ 1 (- (exp (* 1/2 (* f (PI)))) 1))>
#<alt (/ 1 (- (exp (* 1/2 (* f (PI)))) 1))>
#<alt (/ 1 (- (exp (* 1/2 (* f (PI)))) 1))>
#<alt (/ 1 (- (exp (* 1/2 (* f (PI)))) 1))>
#<alt (/ 1 (- (exp (* 1/2 (* f (PI)))) 1))>
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#<alt (+ (* -4 (/ (+ (log (/ 4 (PI))) (* -1 (log f))) (PI))) (* -1 (* (pow f 2) (- (+ (* -1/12 (PI)) (* 1/8 (PI))) (+ (* -1/8 (PI)) (* 1/12 (PI)))))))>
#<alt (+ (* -4 (/ (+ (log (/ 4 (PI))) (* -1 (log f))) (PI))) (* (pow f 2) (+ (* -1 (* f (- (* 1/4 (* (PI) (+ (* -1/12 (PI)) (* 1/8 (PI))))) (* -1/4 (* (PI) (+ (* -1/8 (PI)) (* 1/12 (PI)))))))) (* -1 (- (+ (* -1/12 (PI)) (* 1/8 (PI))) (+ (* -1/8 (PI)) (* 1/12 (PI))))))))>
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#<alt (log (- (/ 1 (- (exp (* 1/2 (* f (PI)))) 1)) (/ 1 (- (exp (* -1/2 (* f (PI)))) 1))))>
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#<alt (/ 4 (* f (PI)))>
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#<alt (* -4 (/ (log (neg (/ 1 (- (exp (* -1/2 (* f (PI)))) 1)))) (PI)))>
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#<alt (+ (log (/ 4 (PI))) (+ (* -1 (log f)) (* 1/4 (* (pow f 2) (* (PI) (- (+ (* -1/12 (PI)) (* 1/8 (PI))) (+ (* -1/8 (PI)) (* 1/12 (PI)))))))))>
#<alt (+ (log (/ 4 (PI))) (+ (* -1 (log f)) (* (pow f 2) (+ (* 1/4 (* f (* (PI) (- (* 1/4 (* (PI) (+ (* -1/12 (PI)) (* 1/8 (PI))))) (* -1/4 (* (PI) (+ (* -1/8 (PI)) (* 1/12 (PI))))))))) (* 1/4 (* (PI) (- (+ (* -1/12 (PI)) (* 1/8 (PI))) (+ (* -1/8 (PI)) (* 1/12 (PI))))))))))>
#<alt (+ (log (/ 4 (PI))) (+ (* -1 (log f)) (* (pow f 2) (+ (* 1/4 (* (PI) (- (+ (* -1/12 (PI)) (* 1/8 (PI))) (+ (* -1/8 (PI)) (* 1/12 (PI)))))) (* f (+ (* 1/24 (* f (+ (* -3/4 (* (pow (PI) 2) (pow (- (+ (* -1/12 (PI)) (* 1/8 (PI))) (+ (* -1/8 (PI)) (* 1/12 (PI)))) 2))) (* 6 (* (PI) (- (+ (* -1/24 (* (pow (PI) 2) (+ (* -1/12 (PI)) (* 1/8 (PI))))) (+ (* -1/960 (pow (PI) 3)) (+ (* 1/384 (pow (PI) 3)) (* 1/4 (* (PI) (+ (* -1/48 (pow (PI) 2)) (+ (* 1/96 (pow (PI) 2)) (* 1/4 (* (PI) (+ (* -1/12 (PI)) (* 1/8 (PI)))))))))))) (+ (* -1/4 (* (PI) (+ (* -1/4 (* (PI) (+ (* -1/8 (PI)) (* 1/12 (PI))))) (+ (* -1/48 (pow (PI) 2)) (* 1/96 (pow (PI) 2)))))) (+ (* -1/24 (* (pow (PI) 2) (+ (* -1/8 (PI)) (* 1/12 (PI))))) (+ (* -1/384 (pow (PI) 3)) (* 1/960 (pow (PI) 3))))))))))) (* 1/4 (* (PI) (- (* 1/4 (* (PI) (+ (* -1/12 (PI)) (* 1/8 (PI))))) (* -1/4 (* (PI) (+ (* -1/8 (PI)) (* 1/12 (PI))))))))))))))>
#<alt (log (- (/ 1 (- (exp (* 1/2 (* f (PI)))) 1)) (/ 1 (- (exp (* -1/2 (* f (PI)))) 1))))>
#<alt (log (- (/ 1 (- (exp (* 1/2 (* f (PI)))) 1)) (/ 1 (- (exp (* -1/2 (* f (PI)))) 1))))>
#<alt (log (- (/ 1 (- (exp (* 1/2 (* f (PI)))) 1)) (/ 1 (- (exp (* -1/2 (* f (PI)))) 1))))>
#<alt (log (- (/ 1 (- (exp (* 1/2 (* f (PI)))) 1)) (/ 1 (- (exp (* -1/2 (* f (PI)))) 1))))>
#<alt (log (- (/ 1 (- (exp (* 1/2 (* f (PI)))) 1)) (/ 1 (- (exp (* -1/2 (* f (PI)))) 1))))>
#<alt (log (- (/ 1 (- (exp (* 1/2 (* f (PI)))) 1)) (/ 1 (- (exp (* -1/2 (* f (PI)))) 1))))>
#<alt (log (- (/ 1 (- (exp (* 1/2 (* f (PI)))) 1)) (/ 1 (- (exp (* -1/2 (* f (PI)))) 1))))>
#<alt (log (- (/ 1 (- (exp (* 1/2 (* f (PI)))) 1)) (/ 1 (- (exp (* -1/2 (* f (PI)))) 1))))>
#<alt (* -4 (/ (+ (log (/ 4 (PI))) (* -1 (log f))) (PI)))>
#<alt (+ (* -4 (/ (+ (log (/ 4 (PI))) (* -1 (log f))) (PI))) (* -1 (* (pow f 2) (- (+ (* -1/12 (PI)) (* 1/8 (PI))) (+ (* -1/8 (PI)) (* 1/12 (PI)))))))>
#<alt (+ (* -4 (/ (+ (log (/ 4 (PI))) (* -1 (log f))) (PI))) (* (pow f 2) (+ (* -1 (* f (- (* 1/4 (* (PI) (+ (* -1/12 (PI)) (* 1/8 (PI))))) (* -1/4 (* (PI) (+ (* -1/8 (PI)) (* 1/12 (PI)))))))) (* -1 (- (+ (* -1/12 (PI)) (* 1/8 (PI))) (+ (* -1/8 (PI)) (* 1/12 (PI))))))))>
#<alt (+ (* -4 (/ (+ (log (/ 4 (PI))) (* -1 (log f))) (PI))) (* (pow f 2) (+ (* -1 (- (+ (* -1/12 (PI)) (* 1/8 (PI))) (+ (* -1/8 (PI)) (* 1/12 (PI))))) (* f (+ (* -1 (- (* 1/4 (* (PI) (+ (* -1/12 (PI)) (* 1/8 (PI))))) (* -1/4 (* (PI) (+ (* -1/8 (PI)) (* 1/12 (PI))))))) (* -1/6 (/ (* f (+ (* -3/4 (* (pow (PI) 2) (pow (- (+ (* -1/12 (PI)) (* 1/8 (PI))) (+ (* -1/8 (PI)) (* 1/12 (PI)))) 2))) (* 6 (* (PI) (- (+ (* -1/24 (* (pow (PI) 2) (+ (* -1/12 (PI)) (* 1/8 (PI))))) (+ (* -1/960 (pow (PI) 3)) (+ (* 1/384 (pow (PI) 3)) (* 1/4 (* (PI) (+ (* -1/48 (pow (PI) 2)) (+ (* 1/96 (pow (PI) 2)) (* 1/4 (* (PI) (+ (* -1/12 (PI)) (* 1/8 (PI)))))))))))) (+ (* -1/4 (* (PI) (+ (* -1/4 (* (PI) (+ (* -1/8 (PI)) (* 1/12 (PI))))) (+ (* -1/48 (pow (PI) 2)) (* 1/96 (pow (PI) 2)))))) (+ (* -1/24 (* (pow (PI) 2) (+ (* -1/8 (PI)) (* 1/12 (PI))))) (+ (* -1/384 (pow (PI) 3)) (* 1/960 (pow (PI) 3)))))))))) (PI))))))))>
#<alt (* -4 (/ (log (- (/ 1 (- (exp (* 1/2 (* f (PI)))) 1)) (/ 1 (- (exp (* -1/2 (* f (PI)))) 1)))) (PI)))>
#<alt (* -4 (/ (log (- (/ 1 (- (exp (* 1/2 (* f (PI)))) 1)) (/ 1 (- (exp (* -1/2 (* f (PI)))) 1)))) (PI)))>
#<alt (* -4 (/ (log (- (/ 1 (- (exp (* 1/2 (* f (PI)))) 1)) (/ 1 (- (exp (* -1/2 (* f (PI)))) 1)))) (PI)))>
#<alt (* -4 (/ (log (- (/ 1 (- (exp (* 1/2 (* f (PI)))) 1)) (/ 1 (- (exp (* -1/2 (* f (PI)))) 1)))) (PI)))>
#<alt (* -4 (/ (log (- (/ 1 (- (exp (* 1/2 (* f (PI)))) 1)) (/ 1 (- (exp (* -1/2 (* f (PI)))) 1)))) (PI)))>
#<alt (* -4 (/ (log (- (/ 1 (- (exp (* 1/2 (* f (PI)))) 1)) (/ 1 (- (exp (* -1/2 (* f (PI)))) 1)))) (PI)))>
#<alt (* -4 (/ (log (- (/ 1 (- (exp (* 1/2 (* f (PI)))) 1)) (/ 1 (- (exp (* -1/2 (* f (PI)))) 1)))) (PI)))>
#<alt (* -4 (/ (log (- (/ 1 (- (exp (* 1/2 (* f (PI)))) 1)) (/ 1 (- (exp (* -1/2 (* f (PI)))) 1)))) (PI)))>
#<alt (/ 1 (+ (log (/ 4 (PI))) (* -1 (log f))))>
#<alt (+ (* -1/4 (/ (* (pow f 2) (* (PI) (- (+ (* -1/12 (PI)) (* 1/8 (PI))) (+ (* -1/8 (PI)) (* 1/12 (PI)))))) (pow (+ (log (/ 4 (PI))) (* -1 (log f))) 2))) (/ 1 (+ (log (/ 4 (PI))) (* -1 (log f)))))>
#<alt (+ (* (pow f 2) (- (* -1/4 (/ (* f (* (PI) (- (* 1/4 (* (PI) (+ (* -1/12 (PI)) (* 1/8 (PI))))) (* -1/4 (* (PI) (+ (* -1/8 (PI)) (* 1/12 (PI)))))))) (pow (+ (log (/ 4 (PI))) (* -1 (log f))) 2))) (* 1/4 (/ (* (PI) (- (+ (* -1/12 (PI)) (* 1/8 (PI))) (+ (* -1/8 (PI)) (* 1/12 (PI))))) (pow (+ (log (/ 4 (PI))) (* -1 (log f))) 2))))) (/ 1 (+ (log (/ 4 (PI))) (* -1 (log f)))))>
#<alt (+ (* (pow f 2) (- (* f (- (* -1 (* f (+ (* -1/16 (/ (* (pow (PI) 2) (pow (- (+ (* -1/12 (PI)) (* 1/8 (PI))) (+ (* -1/8 (PI)) (* 1/12 (PI)))) 2)) (pow (+ (log (/ 4 (PI))) (* -1 (log f))) 3))) (* 1/24 (/ (+ (* -3/4 (* (pow (PI) 2) (pow (- (+ (* -1/12 (PI)) (* 1/8 (PI))) (+ (* -1/8 (PI)) (* 1/12 (PI)))) 2))) (* 6 (* (PI) (- (+ (* -1/24 (* (pow (PI) 2) (+ (* -1/12 (PI)) (* 1/8 (PI))))) (+ (* -1/960 (pow (PI) 3)) (+ (* 1/384 (pow (PI) 3)) (* 1/4 (* (PI) (+ (* -1/48 (pow (PI) 2)) (+ (* 1/96 (pow (PI) 2)) (* 1/4 (* (PI) (+ (* -1/12 (PI)) (* 1/8 (PI)))))))))))) (+ (* -1/4 (* (PI) (+ (* -1/4 (* (PI) (+ (* -1/8 (PI)) (* 1/12 (PI))))) (+ (* -1/48 (pow (PI) 2)) (* 1/96 (pow (PI) 2)))))) (+ (* -1/24 (* (pow (PI) 2) (+ (* -1/8 (PI)) (* 1/12 (PI))))) (+ (* -1/384 (pow (PI) 3)) (* 1/960 (pow (PI) 3))))))))) (pow (+ (log (/ 4 (PI))) (* -1 (log f))) 2)))))) (* 1/4 (/ (* (PI) (- (* 1/4 (* (PI) (+ (* -1/12 (PI)) (* 1/8 (PI))))) (* -1/4 (* (PI) (+ (* -1/8 (PI)) (* 1/12 (PI))))))) (pow (+ (log (/ 4 (PI))) (* -1 (log f))) 2))))) (* 1/4 (/ (* (PI) (- (+ (* -1/12 (PI)) (* 1/8 (PI))) (+ (* -1/8 (PI)) (* 1/12 (PI))))) (pow (+ (log (/ 4 (PI))) (* -1 (log f))) 2))))) (/ 1 (+ (log (/ 4 (PI))) (* -1 (log f)))))>
#<alt (/ 1 (log (- (/ 1 (- (exp (* 1/2 (* f (PI)))) 1)) (/ 1 (- (exp (* -1/2 (* f (PI)))) 1)))))>
#<alt (/ 1 (log (- (/ 1 (- (exp (* 1/2 (* f (PI)))) 1)) (/ 1 (- (exp (* -1/2 (* f (PI)))) 1)))))>
#<alt (/ 1 (log (- (/ 1 (- (exp (* 1/2 (* f (PI)))) 1)) (/ 1 (- (exp (* -1/2 (* f (PI)))) 1)))))>
#<alt (/ 1 (log (- (/ 1 (- (exp (* 1/2 (* f (PI)))) 1)) (/ 1 (- (exp (* -1/2 (* f (PI)))) 1)))))>
#<alt (/ 1 (log (- (/ 1 (- (exp (* 1/2 (* f (PI)))) 1)) (/ 1 (- (exp (* -1/2 (* f (PI)))) 1)))))>
#<alt (/ 1 (log (- (/ 1 (- (exp (* 1/2 (* f (PI)))) 1)) (/ 1 (- (exp (* -1/2 (* f (PI)))) 1)))))>
#<alt (/ 1 (log (- (/ 1 (- (exp (* 1/2 (* f (PI)))) 1)) (/ 1 (- (exp (* -1/2 (* f (PI)))) 1)))))>
#<alt (/ 1 (log (- (/ 1 (- (exp (* 1/2 (* f (PI)))) 1)) (/ 1 (- (exp (* -1/2 (* f (PI)))) 1)))))>
#<alt (+ (log (/ 4 (PI))) (* -1 (log f)))>
#<alt (+ (log (/ 4 (PI))) (+ (* -1 (log f)) (* 1/4 (* (pow f 2) (* (PI) (- (+ (* -1/12 (PI)) (* 1/8 (PI))) (+ (* -1/8 (PI)) (* 1/12 (PI)))))))))>
#<alt (+ (log (/ 4 (PI))) (+ (* -1 (log f)) (* (pow f 2) (+ (* 1/4 (* f (* (PI) (- (* 1/4 (* (PI) (+ (* -1/12 (PI)) (* 1/8 (PI))))) (* -1/4 (* (PI) (+ (* -1/8 (PI)) (* 1/12 (PI))))))))) (* 1/4 (* (PI) (- (+ (* -1/12 (PI)) (* 1/8 (PI))) (+ (* -1/8 (PI)) (* 1/12 (PI))))))))))>
#<alt (+ (log (/ 4 (PI))) (+ (* -1 (log f)) (* (pow f 2) (+ (* 1/4 (* (PI) (- (+ (* -1/12 (PI)) (* 1/8 (PI))) (+ (* -1/8 (PI)) (* 1/12 (PI)))))) (* f (+ (* 1/24 (* f (+ (* -3/4 (* (pow (PI) 2) (pow (- (+ (* -1/12 (PI)) (* 1/8 (PI))) (+ (* -1/8 (PI)) (* 1/12 (PI)))) 2))) (* 6 (* (PI) (- (+ (* -1/24 (* (pow (PI) 2) (+ (* -1/12 (PI)) (* 1/8 (PI))))) (+ (* -1/960 (pow (PI) 3)) (+ (* 1/384 (pow (PI) 3)) (* 1/4 (* (PI) (+ (* -1/48 (pow (PI) 2)) (+ (* 1/96 (pow (PI) 2)) (* 1/4 (* (PI) (+ (* -1/12 (PI)) (* 1/8 (PI)))))))))))) (+ (* -1/4 (* (PI) (+ (* -1/4 (* (PI) (+ (* -1/8 (PI)) (* 1/12 (PI))))) (+ (* -1/48 (pow (PI) 2)) (* 1/96 (pow (PI) 2)))))) (+ (* -1/24 (* (pow (PI) 2) (+ (* -1/8 (PI)) (* 1/12 (PI))))) (+ (* -1/384 (pow (PI) 3)) (* 1/960 (pow (PI) 3))))))))))) (* 1/4 (* (PI) (- (* 1/4 (* (PI) (+ (* -1/12 (PI)) (* 1/8 (PI))))) (* -1/4 (* (PI) (+ (* -1/8 (PI)) (* 1/12 (PI))))))))))))))>
#<alt (log (- (/ 1 (- (exp (* 1/2 (* f (PI)))) 1)) (/ 1 (- (exp (* -1/2 (* f (PI)))) 1))))>
#<alt (log (- (/ 1 (- (exp (* 1/2 (* f (PI)))) 1)) (/ 1 (- (exp (* -1/2 (* f (PI)))) 1))))>
#<alt (log (- (/ 1 (- (exp (* 1/2 (* f (PI)))) 1)) (/ 1 (- (exp (* -1/2 (* f (PI)))) 1))))>
#<alt (log (- (/ 1 (- (exp (* 1/2 (* f (PI)))) 1)) (/ 1 (- (exp (* -1/2 (* f (PI)))) 1))))>
#<alt (log (- (/ 1 (- (exp (* 1/2 (* f (PI)))) 1)) (/ 1 (- (exp (* -1/2 (* f (PI)))) 1))))>
#<alt (log (- (/ 1 (- (exp (* 1/2 (* f (PI)))) 1)) (/ 1 (- (exp (* -1/2 (* f (PI)))) 1))))>
#<alt (log (- (/ 1 (- (exp (* 1/2 (* f (PI)))) 1)) (/ 1 (- (exp (* -1/2 (* f (PI)))) 1))))>
#<alt (log (- (/ 1 (- (exp (* 1/2 (* f (PI)))) 1)) (/ 1 (- (exp (* -1/2 (* f (PI)))) 1))))>
#<alt (/ 2 (* f (PI)))>
#<alt (/ (+ (* 1/2 f) (* 2 (/ 1 (PI)))) f)>
#<alt (/ (+ (* f (+ 1/2 (* -1 (* f (+ (* -1/8 (PI)) (* 1/12 (PI))))))) (* 2 (/ 1 (PI)))) f)>
#<alt (/ (+ (* f (+ 1/2 (* f (- (* -1 (* f (+ (* -1/96 (pow (PI) 2)) (+ (* 1/48 (pow (PI) 2)) (* 1/4 (* (PI) (+ (* -1/8 (PI)) (* 1/12 (PI))))))))) (+ (* -1/8 (PI)) (* 1/12 (PI))))))) (* 2 (/ 1 (PI)))) f)>
#<alt (/ -1 (- (exp (* -1/2 (* f (PI)))) 1))>
#<alt (/ -1 (- (exp (* -1/2 (* f (PI)))) 1))>
#<alt (/ -1 (- (exp (* -1/2 (* f (PI)))) 1))>
#<alt (/ -1 (- (exp (* -1/2 (* f (PI)))) 1))>
#<alt (/ -1 (- (exp (* -1/2 (* f (PI)))) 1))>
#<alt (/ -1 (- (exp (* -1/2 (* f (PI)))) 1))>
#<alt (/ -1 (- (exp (* -1/2 (* f (PI)))) 1))>
#<alt (/ -1 (- (exp (* -1/2 (* f (PI)))) 1))>
#<alt (/ 2 (* f (PI)))>
#<alt (/ (+ (* -1/2 f) (* 2 (/ 1 (PI)))) f)>
#<alt (/ (+ (* f (- (* -1 (* f (+ (* -1/8 (PI)) (* 1/12 (PI))))) 1/2)) (* 2 (/ 1 (PI)))) f)>
#<alt (/ (+ (* f (- (* f (- (* -1 (* f (+ (* -1/4 (* (PI) (+ (* -1/8 (PI)) (* 1/12 (PI))))) (+ (* -1/48 (pow (PI) 2)) (* 1/96 (pow (PI) 2)))))) (+ (* -1/8 (PI)) (* 1/12 (PI))))) 1/2)) (* 2 (/ 1 (PI)))) f)>
#<alt (/ 1 (- (exp (* 1/2 (* f (PI)))) 1))>
#<alt (/ 1 (- (exp (* 1/2 (* f (PI)))) 1))>
#<alt (/ 1 (- (exp (* 1/2 (* f (PI)))) 1))>
#<alt (/ 1 (- (exp (* 1/2 (* f (PI)))) 1))>
#<alt (/ 1 (- (exp (* 1/2 (* f (PI)))) 1))>
#<alt (/ 1 (- (exp (* 1/2 (* f (PI)))) 1))>
#<alt (/ 1 (- (exp (* 1/2 (* f (PI)))) 1))>
#<alt (/ 1 (- (exp (* 1/2 (* f (PI)))) 1))>
Calls

54 calls:

TimeVariablePointExpression
39.0ms
f
@-inf
(/ (log (/ 4 (* (PI) f))) (/ (PI) -4))
15.0ms
f
@0
(/ (log (/ 4 (* (PI) f))) (/ (PI) -4))
11.0ms
f
@inf
(/ (log (/ 4 (* (PI) f))) (/ (PI) -4))
1.0ms
f
@0
(/ 1 (log (+ (/ 1 (- (exp (* (PI) (* f 1/2))) 1)) (/ -1 (- (exp (* (PI) (* f -1/2))) 1)))))
1.0ms
f
@inf
(/ (log (+ (/ 2 (* (PI) f)) (/ -1 (- (exp (* (PI) (* f -1/2))) 1)))) (/ (PI) -4))

rewrite439.0ms (2.1%)

Memory
7.1MiB live, 515.0MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
4 098×*-lowering-*.f32
4 098×*-lowering-*.f64
4 060×accelerator-lowering-fma.f32
4 060×accelerator-lowering-fma.f64
2 954×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
059340
1338304
23198295
08393264
Stop Event
1×iter limit
1×node limit
Counts
26 → 906
Calls
Call 1
Inputs
(pow (pow (- (exp (* (PI) (* f 1/2))) 1) -1/2) 2)
(/ (log (+ (pow (pow (- (exp (* (PI) (* f 1/2))) 1) -1/2) 2) (/ -1 (- (exp (* (PI) (* f -1/2))) 1)))) (/ (PI) -4))
(log (+ (pow (pow (- (exp (* (PI) (* f 1/2))) 1) -1/2) 2) (/ -1 (- (exp (* (PI) (* f -1/2))) 1))))
(+ (pow (pow (- (exp (* (PI) (* f 1/2))) 1) -1/2) 2) (/ -1 (- (exp (* (PI) (* f -1/2))) 1)))
(/ (log (/ 4 (* (PI) f))) (/ (PI) -4))
(log (/ 4 (* (PI) f)))
(/ 4 (* (PI) f))
(* (PI) f)
(+ (- (* (* (PI) (+ (* (* (PI) -1/24) -1/4) (* (PI) -1/96))) (* (PI) 1/4)) (* (* (PI) (PI)) (+ (* (* (PI) -1/24) -1/24) (* (PI) -1/640)))) (- (* (* (PI) (+ (* (* (PI) -1/24) -1/4) (* (PI) -1/96))) (* (PI) 1/4)) (* (* (PI) (PI)) (+ (* (* (PI) -1/24) -1/24) (* (PI) -1/640)))))
(+ (* (* (PI) -1/24) -1/4) (* (PI) -1/96))
(* (* (PI) (+ (* (* (PI) -1/24) -1/4) (* (PI) -1/96))) (* (PI) 1/4))
(+ (* (* (PI) -1/24) -1/24) (* (PI) -1/640))
(/ (log (+ (/ 2 (* (PI) f)) (/ -1 (- (exp (* (PI) (* f -1/2))) 1)))) (/ (PI) -4))
(log (+ (/ 2 (* (PI) f)) (/ -1 (- (exp (* (PI) (* f -1/2))) 1))))
(+ (/ 2 (* (PI) f)) (/ -1 (- (exp (* (PI) (* f -1/2))) 1)))
(/ 2 (* (PI) f))
(/ 1 (/ 1 (log (+ (/ 1 (- (exp (* (PI) (* f 1/2))) 1)) (/ -1 (- (exp (* (PI) (* f -1/2))) 1))))))
(/ (/ 1 (/ 1 (log (+ (/ 1 (- (exp (* (PI) (* f 1/2))) 1)) (/ -1 (- (exp (* (PI) (* f -1/2))) 1)))))) (/ (PI) -4))
(/ 1 (log (+ (/ 1 (- (exp (* (PI) (* f 1/2))) 1)) (/ -1 (- (exp (* (PI) (* f -1/2))) 1)))))
(log (+ (/ 1 (- (exp (* (PI) (* f 1/2))) 1)) (/ -1 (- (exp (* (PI) (* f -1/2))) 1))))
(PI)
(/ -1 (- (exp (* (PI) (* f -1/2))) 1))
(* (PI) -1/24)
(* (PI) -1/96)
(* (PI) 1/12)
(/ 1 (- (exp (* (PI) (* f 1/2))) 1))
Outputs
(exp.f64 (log.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 (*.f64 (PI.f64) f) #s(literal 2 binary64))))))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 (*.f64 (PI.f64) f) #s(literal 2 binary64))))) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (expm1.f64 (/.f64 (*.f64 (PI.f64) f) #s(literal 2 binary64))) #s(literal 2 binary64))) #s(literal -1/2 binary64)))
(neg.f64 (/.f64 #s(literal -1 binary64) (expm1.f64 (/.f64 (*.f64 (PI.f64) f) #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 (*.f64 (PI.f64) f) #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 #s(literal 0 binary64) (expm1.f64 (/.f64 (*.f64 (PI.f64) f) #s(literal 2 binary64))))))
(/.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (expm1.f64 (/.f64 (*.f64 (PI.f64) f) #s(literal 2 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (expm1.f64 (/.f64 (*.f64 (PI.f64) f) #s(literal 2 binary64)))))))
(pow.f64 (expm1.f64 (/.f64 (*.f64 (PI.f64) f) #s(literal 2 binary64))) #s(literal -1 binary64))
(pow.f64 (pow.f64 (expm1.f64 (/.f64 (*.f64 (PI.f64) f) #s(literal 2 binary64))) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 (*.f64 (PI.f64) f) #s(literal 2 binary64)))) #s(literal 1 binary64))
(pow.f64 (pow.f64 (expm1.f64 (/.f64 (*.f64 (PI.f64) f) #s(literal 2 binary64))) #s(literal -1/4 binary64)) #s(literal 4 binary64))
(pow.f64 (pow.f64 (expm1.f64 (/.f64 (*.f64 (PI.f64) f) #s(literal 2 binary64))) #s(literal 2 binary64)) #s(literal -1/2 binary64))
(pow.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (expm1.f64 (/.f64 (*.f64 (PI.f64) f) #s(literal 2 binary64))))) #s(literal -1 binary64))
(pow.f64 (*.f64 (pow.f64 (expm1.f64 (/.f64 (*.f64 (PI.f64) f) #s(literal 2 binary64))) #s(literal 2 binary64)) (pow.f64 (expm1.f64 (/.f64 (*.f64 (PI.f64) f) #s(literal 2 binary64))) #s(literal 2 binary64))) #s(literal -1/4 binary64))
(pow.f64 (exp.f64 #s(literal 2 binary64)) (*.f64 #s(literal -1/2 binary64) (log.f64 (expm1.f64 (/.f64 (*.f64 (PI.f64) f) #s(literal 2 binary64))))))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 (*.f64 (PI.f64) f) #s(literal 2 binary64)))))
(*.f64 (pow.f64 (expm1.f64 (/.f64 (*.f64 (PI.f64) f) #s(literal 2 binary64))) #s(literal -1/2 binary64)) (pow.f64 (expm1.f64 (/.f64 (*.f64 (PI.f64) f) #s(literal 2 binary64))) #s(literal -1/2 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 (*.f64 (PI.f64) f) #s(literal 2 binary64)))) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (expm1.f64 (/.f64 (*.f64 (PI.f64) f) #s(literal 2 binary64)))))
(*.f64 #s(literal -1 binary64) (pow.f64 (/.f64 #s(literal -1 binary64) (expm1.f64 (/.f64 (*.f64 (PI.f64) f) #s(literal 2 binary64)))) #s(literal 1 binary64)))
(*.f64 (pow.f64 (expm1.f64 (/.f64 (*.f64 (PI.f64) f) #s(literal 2 binary64))) #s(literal -1/4 binary64)) (pow.f64 (expm1.f64 (/.f64 (*.f64 (PI.f64) f) #s(literal 2 binary64))) #s(literal -3/4 binary64)))
(*.f64 (pow.f64 (expm1.f64 (/.f64 (*.f64 (PI.f64) f) #s(literal 2 binary64))) #s(literal -1/4 binary64)) (pow.f64 (pow.f64 (expm1.f64 (/.f64 (*.f64 (PI.f64) f) #s(literal 2 binary64))) #s(literal -3/4 binary64)) #s(literal 1 binary64)))
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(exp.f64 (*.f64 (log.f64 (-.f64 #s(literal 0 binary64) (expm1.f64 (*.f64 (PI.f64) (*.f64 f #s(literal -1/2 binary64)))))) #s(literal -1 binary64)))
(exp.f64 (*.f64 (log.f64 (/.f64 (expm1.f64 (*.f64 (PI.f64) (*.f64 f #s(literal -1/2 binary64)))) #s(literal -1 binary64))) #s(literal -1 binary64)))
(neg.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (PI.f64) (*.f64 f #s(literal -1/2 binary64))))))
(/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (expm1.f64 (*.f64 (PI.f64) (*.f64 f #s(literal -1/2 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (expm1.f64 (*.f64 (PI.f64) (*.f64 f #s(literal -1/2 binary64)))) #s(literal -1 binary64)))
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(pow.f64 (-.f64 #s(literal 0 binary64) (expm1.f64 (*.f64 (PI.f64) (*.f64 f #s(literal -1/2 binary64))))) #s(literal -1 binary64))
(pow.f64 (/.f64 (expm1.f64 (*.f64 (PI.f64) (*.f64 f #s(literal -1/2 binary64)))) #s(literal -1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 (expm1.f64 (*.f64 (PI.f64) (*.f64 f #s(literal -1/2 binary64)))) #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (expm1.f64 (*.f64 (PI.f64) (*.f64 f #s(literal -1/2 binary64))))))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (PI.f64) (*.f64 f #s(literal -1/2 binary64))))))
(*.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (PI.f64) (*.f64 f #s(literal -1/2 binary64))))) #s(literal -1 binary64))
(*.f64 (/.f64 #s(literal -1 binary64) (expm1.f64 (*.f64 (PI.f64) (*.f64 (*.f64 f #s(literal -1/2 binary64)) #s(literal 3 binary64))))) (+.f64 (exp.f64 (*.f64 (*.f64 (PI.f64) (*.f64 f #s(literal -1/2 binary64))) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (PI.f64) (*.f64 f #s(literal -1/2 binary64)))))))
(*.f64 (/.f64 #s(literal -1 binary64) (expm1.f64 (*.f64 (*.f64 (PI.f64) (*.f64 f #s(literal -1/2 binary64))) #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (PI.f64) (*.f64 f #s(literal -1/2 binary64))))))
(*.f64 (PI.f64) #s(literal -1/24 binary64))
(*.f64 #s(literal 1 binary64) (*.f64 (PI.f64) #s(literal -1/24 binary64)))
(*.f64 #s(literal -1/24 binary64) (PI.f64))
(*.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (*.f64 (cbrt.f64 (PI.f64)) #s(literal -1/24 binary64)))
(*.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) #s(literal -1/24 binary64)))
(*.f64 (*.f64 #s(literal -1/24 binary64) (pow.f64 (PI.f64) #s(literal 2/3 binary64))) (cbrt.f64 (PI.f64)))
(*.f64 (*.f64 #s(literal -1/24 binary64) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)))
(*.f64 (PI.f64) #s(literal -1/96 binary64))
(*.f64 #s(literal 1 binary64) (*.f64 (PI.f64) #s(literal -1/96 binary64)))
(*.f64 #s(literal -1/96 binary64) (PI.f64))
(*.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (*.f64 (cbrt.f64 (PI.f64)) #s(literal -1/96 binary64)))
(*.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) #s(literal -1/96 binary64)))
(*.f64 (*.f64 #s(literal -1/96 binary64) (pow.f64 (PI.f64) #s(literal 2/3 binary64))) (cbrt.f64 (PI.f64)))
(*.f64 (*.f64 #s(literal -1/96 binary64) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)))
(*.f64 (PI.f64) #s(literal 1/12 binary64))
(*.f64 #s(literal 1 binary64) (*.f64 (PI.f64) #s(literal 1/12 binary64)))
(*.f64 #s(literal 1/12 binary64) (PI.f64))
(*.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (*.f64 (cbrt.f64 (PI.f64)) #s(literal 1/12 binary64)))
(*.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/12 binary64)))
(*.f64 (*.f64 #s(literal 1/12 binary64) (pow.f64 (PI.f64) #s(literal 2/3 binary64))) (cbrt.f64 (PI.f64)))
(*.f64 (*.f64 #s(literal 1/12 binary64) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)))
(exp.f64 (log.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 (*.f64 (PI.f64) f) #s(literal 2 binary64))))))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 (*.f64 (PI.f64) f) #s(literal 2 binary64))))) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (expm1.f64 (/.f64 (*.f64 (PI.f64) f) #s(literal 2 binary64))) #s(literal 2 binary64))) #s(literal -1/2 binary64)))
(neg.f64 (/.f64 #s(literal -1 binary64) (expm1.f64 (/.f64 (*.f64 (PI.f64) f) #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 (*.f64 (PI.f64) f) #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 #s(literal 0 binary64) (expm1.f64 (/.f64 (*.f64 (PI.f64) f) #s(literal 2 binary64))))))
(/.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (expm1.f64 (/.f64 (*.f64 (PI.f64) f) #s(literal 2 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (expm1.f64 (/.f64 (*.f64 (PI.f64) f) #s(literal 2 binary64)))))))
(pow.f64 (expm1.f64 (/.f64 (*.f64 (PI.f64) f) #s(literal 2 binary64))) #s(literal -1 binary64))
(pow.f64 (pow.f64 (expm1.f64 (/.f64 (*.f64 (PI.f64) f) #s(literal 2 binary64))) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 (*.f64 (PI.f64) f) #s(literal 2 binary64)))) #s(literal 1 binary64))
(pow.f64 (pow.f64 (expm1.f64 (/.f64 (*.f64 (PI.f64) f) #s(literal 2 binary64))) #s(literal -1/4 binary64)) #s(literal 4 binary64))
(pow.f64 (pow.f64 (expm1.f64 (/.f64 (*.f64 (PI.f64) f) #s(literal 2 binary64))) #s(literal 2 binary64)) #s(literal -1/2 binary64))
(pow.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (expm1.f64 (/.f64 (*.f64 (PI.f64) f) #s(literal 2 binary64))))) #s(literal -1 binary64))
(pow.f64 (*.f64 (pow.f64 (expm1.f64 (/.f64 (*.f64 (PI.f64) f) #s(literal 2 binary64))) #s(literal 2 binary64)) (pow.f64 (expm1.f64 (/.f64 (*.f64 (PI.f64) f) #s(literal 2 binary64))) #s(literal 2 binary64))) #s(literal -1/4 binary64))
(pow.f64 (exp.f64 #s(literal 2 binary64)) (*.f64 #s(literal -1/2 binary64) (log.f64 (expm1.f64 (/.f64 (*.f64 (PI.f64) f) #s(literal 2 binary64))))))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 (*.f64 (PI.f64) f) #s(literal 2 binary64)))))
(*.f64 (pow.f64 (expm1.f64 (/.f64 (*.f64 (PI.f64) f) #s(literal 2 binary64))) #s(literal -1/2 binary64)) (pow.f64 (expm1.f64 (/.f64 (*.f64 (PI.f64) f) #s(literal 2 binary64))) #s(literal -1/2 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 (*.f64 (PI.f64) f) #s(literal 2 binary64)))) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (expm1.f64 (/.f64 (*.f64 (PI.f64) f) #s(literal 2 binary64)))))
(*.f64 #s(literal -1 binary64) (pow.f64 (/.f64 #s(literal -1 binary64) (expm1.f64 (/.f64 (*.f64 (PI.f64) f) #s(literal 2 binary64)))) #s(literal 1 binary64)))
(*.f64 (pow.f64 (expm1.f64 (/.f64 (*.f64 (PI.f64) f) #s(literal 2 binary64))) #s(literal -1/4 binary64)) (pow.f64 (expm1.f64 (/.f64 (*.f64 (PI.f64) f) #s(literal 2 binary64))) #s(literal -3/4 binary64)))
(*.f64 (pow.f64 (expm1.f64 (/.f64 (*.f64 (PI.f64) f) #s(literal 2 binary64))) #s(literal -1/4 binary64)) (pow.f64 (pow.f64 (expm1.f64 (/.f64 (*.f64 (PI.f64) f) #s(literal 2 binary64))) #s(literal -3/4 binary64)) #s(literal 1 binary64)))
(*.f64 (*.f64 #s(literal 1 binary64) (pow.f64 (expm1.f64 (/.f64 (*.f64 (PI.f64) f) #s(literal 2 binary64))) #s(literal -1/2 binary64))) (pow.f64 (expm1.f64 (/.f64 (*.f64 (PI.f64) f) #s(literal 2 binary64))) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 (expm1.f64 (/.f64 (*.f64 (PI.f64) f) #s(literal 2 binary64))) #s(literal -3/4 binary64)) (pow.f64 (expm1.f64 (/.f64 (*.f64 (PI.f64) f) #s(literal 2 binary64))) #s(literal -1/4 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (/.f64 (*.f64 (PI.f64) f) #s(literal 2 binary64)) #s(literal 3 binary64)))) (+.f64 (exp.f64 (*.f64 (/.f64 (*.f64 (PI.f64) f) #s(literal 2 binary64)) #s(literal 2 binary64))) (+.f64 (exp.f64 (/.f64 (*.f64 (PI.f64) f) #s(literal 2 binary64))) #s(literal 1 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (/.f64 (*.f64 (PI.f64) f) #s(literal 2 binary64)) #s(literal 3 binary64)))) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 (/.f64 (*.f64 (PI.f64) f) #s(literal 2 binary64)) #s(literal 2 binary64))) (+.f64 (exp.f64 (/.f64 (*.f64 (PI.f64) f) #s(literal 2 binary64))) #s(literal 1 binary64)))) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (/.f64 (*.f64 (PI.f64) f) #s(literal 2 binary64)) #s(literal 2 binary64)))) (+.f64 (exp.f64 (/.f64 (*.f64 (PI.f64) f) #s(literal 2 binary64))) #s(literal 1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (/.f64 (*.f64 (PI.f64) f) #s(literal 2 binary64)) #s(literal 2 binary64)))) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (/.f64 (*.f64 (PI.f64) f) #s(literal 2 binary64))) #s(literal 1 binary64))) #s(literal -1 binary64)))
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(*.f64 (pow.f64 (pow.f64 (expm1.f64 (/.f64 (*.f64 (PI.f64) f) #s(literal 2 binary64))) #s(literal -3/4 binary64)) #s(literal 1 binary64)) (pow.f64 (expm1.f64 (/.f64 (*.f64 (PI.f64) f) #s(literal 2 binary64))) #s(literal -1/4 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (/.f64 (*.f64 (PI.f64) f) #s(literal 2 binary64)) #s(literal 3 binary64)))) #s(literal 1 binary64)) (pow.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (*.f64 (PI.f64) f) #s(literal 2 binary64)) #s(literal 2 binary64))) (+.f64 (exp.f64 (/.f64 (*.f64 (PI.f64) f) #s(literal 2 binary64))) #s(literal 1 binary64))) #s(literal 1 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (/.f64 (*.f64 (PI.f64) f) #s(literal 2 binary64)) #s(literal 2 binary64)))) #s(literal 1 binary64)) (pow.f64 (+.f64 (exp.f64 (/.f64 (*.f64 (PI.f64) f) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64)))

simplify643.0ms (3.1%)

Memory
-4.7MiB live, 1 029.4MiB allocated
Algorithm
1×egg-herbie
Rules
13 562×accelerator-lowering-fma.f32
13 562×accelerator-lowering-fma.f64
5 720×*-lowering-*.f32
5 720×*-lowering-*.f64
3 208×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03824816
111044480
241954275
086813842
Stop Event
1×iter limit
1×node limit
Counts
216 → 216
Calls
Call 1
Inputs
(/ 2 (* f (PI)))
(/ (+ (* -1/2 f) (* 2 (/ 1 (PI)))) f)
(/ (+ (* f (- (* -1 (* f (+ (* -1/8 (PI)) (* 1/12 (PI))))) 1/2)) (* 2 (/ 1 (PI)))) f)
(/ (+ (* f (- (* f (- (* -1 (* f (+ (* -1/4 (* (PI) (+ (* -1/8 (PI)) (* 1/12 (PI))))) (+ (* -1/48 (pow (PI) 2)) (* 1/96 (pow (PI) 2)))))) (+ (* -1/8 (PI)) (* 1/12 (PI))))) 1/2)) (* 2 (/ 1 (PI)))) f)
(/ 1 (- (exp (* 1/2 (* f (PI)))) 1))
(/ 1 (- (exp (* 1/2 (* f (PI)))) 1))
(/ 1 (- (exp (* 1/2 (* f (PI)))) 1))
(/ 1 (- (exp (* 1/2 (* f (PI)))) 1))
(/ 1 (- (exp (* 1/2 (* f (PI)))) 1))
(/ 1 (- (exp (* 1/2 (* f (PI)))) 1))
(/ 1 (- (exp (* 1/2 (* f (PI)))) 1))
(/ 1 (- (exp (* 1/2 (* f (PI)))) 1))
(* -4 (/ (+ (log (/ 4 (PI))) (* -1 (log f))) (PI)))
(+ (* -4 (/ (+ (log (/ 4 (PI))) (* -1 (log f))) (PI))) (* -1 (* (pow f 2) (- (+ (* -1/12 (PI)) (* 1/8 (PI))) (+ (* -1/8 (PI)) (* 1/12 (PI)))))))
(+ (* -4 (/ (+ (log (/ 4 (PI))) (* -1 (log f))) (PI))) (* (pow f 2) (+ (* -1 (* f (- (* 1/4 (* (PI) (+ (* -1/12 (PI)) (* 1/8 (PI))))) (* -1/4 (* (PI) (+ (* -1/8 (PI)) (* 1/12 (PI)))))))) (* -1 (- (+ (* -1/12 (PI)) (* 1/8 (PI))) (+ (* -1/8 (PI)) (* 1/12 (PI))))))))
(+ (* -4 (/ (+ (log (/ 4 (PI))) (* -1 (log f))) (PI))) (* (pow f 2) (+ (* -1 (- (+ (* -1/12 (PI)) (* 1/8 (PI))) (+ (* -1/8 (PI)) (* 1/12 (PI))))) (* f (+ (* -1 (- (* 1/4 (* (PI) (+ (* -1/12 (PI)) (* 1/8 (PI))))) (* -1/4 (* (PI) (+ (* -1/8 (PI)) (* 1/12 (PI))))))) (* -1/6 (/ (* f (+ (* -3/4 (* (pow (PI) 2) (pow (- (+ (* -1/12 (PI)) (* 1/8 (PI))) (+ (* -1/8 (PI)) (* 1/12 (PI)))) 2))) (* 6 (* (PI) (- (+ (* -1/24 (* (pow (PI) 2) (+ (* -1/12 (PI)) (* 1/8 (PI))))) (+ (* -1/960 (pow (PI) 3)) (+ (* 1/384 (pow (PI) 3)) (* 1/4 (* (PI) (+ (* -1/48 (pow (PI) 2)) (+ (* 1/96 (pow (PI) 2)) (* 1/4 (* (PI) (+ (* -1/12 (PI)) (* 1/8 (PI)))))))))))) (+ (* -1/4 (* (PI) (+ (* -1/4 (* (PI) (+ (* -1/8 (PI)) (* 1/12 (PI))))) (+ (* -1/48 (pow (PI) 2)) (* 1/96 (pow (PI) 2)))))) (+ (* -1/24 (* (pow (PI) 2) (+ (* -1/8 (PI)) (* 1/12 (PI))))) (+ (* -1/384 (pow (PI) 3)) (* 1/960 (pow (PI) 3)))))))))) (PI))))))))
(* -4 (/ (log (- (/ 1 (- (exp (* 1/2 (* f (PI)))) 1)) (/ 1 (- (exp (* -1/2 (* f (PI)))) 1)))) (PI)))
(* -4 (/ (log (- (/ 1 (- (exp (* 1/2 (* f (PI)))) 1)) (/ 1 (- (exp (* -1/2 (* f (PI)))) 1)))) (PI)))
(* -4 (/ (log (- (/ 1 (- (exp (* 1/2 (* f (PI)))) 1)) (/ 1 (- (exp (* -1/2 (* f (PI)))) 1)))) (PI)))
(* -4 (/ (log (- (/ 1 (- (exp (* 1/2 (* f (PI)))) 1)) (/ 1 (- (exp (* -1/2 (* f (PI)))) 1)))) (PI)))
(* -4 (/ (log (- (/ 1 (- (exp (* 1/2 (* f (PI)))) 1)) (/ 1 (- (exp (* -1/2 (* f (PI)))) 1)))) (PI)))
(* -4 (/ (log (- (/ 1 (- (exp (* 1/2 (* f (PI)))) 1)) (/ 1 (- (exp (* -1/2 (* f (PI)))) 1)))) (PI)))
(* -4 (/ (log (- (/ 1 (- (exp (* 1/2 (* f (PI)))) 1)) (/ 1 (- (exp (* -1/2 (* f (PI)))) 1)))) (PI)))
(* -4 (/ (log (- (/ 1 (- (exp (* 1/2 (* f (PI)))) 1)) (/ 1 (- (exp (* -1/2 (* f (PI)))) 1)))) (PI)))
(+ (log (/ 4 (PI))) (* -1 (log f)))
(+ (log (/ 4 (PI))) (+ (* -1 (log f)) (* 1/4 (* (pow f 2) (* (PI) (- (+ (* -1/12 (PI)) (* 1/8 (PI))) (+ (* -1/8 (PI)) (* 1/12 (PI)))))))))
(+ (log (/ 4 (PI))) (+ (* -1 (log f)) (* (pow f 2) (+ (* 1/4 (* f (* (PI) (- (* 1/4 (* (PI) (+ (* -1/12 (PI)) (* 1/8 (PI))))) (* -1/4 (* (PI) (+ (* -1/8 (PI)) (* 1/12 (PI))))))))) (* 1/4 (* (PI) (- (+ (* -1/12 (PI)) (* 1/8 (PI))) (+ (* -1/8 (PI)) (* 1/12 (PI))))))))))
(+ (log (/ 4 (PI))) (+ (* -1 (log f)) (* (pow f 2) (+ (* 1/4 (* (PI) (- (+ (* -1/12 (PI)) (* 1/8 (PI))) (+ (* -1/8 (PI)) (* 1/12 (PI)))))) (* f (+ (* 1/24 (* f (+ (* -3/4 (* (pow (PI) 2) (pow (- (+ (* -1/12 (PI)) (* 1/8 (PI))) (+ (* -1/8 (PI)) (* 1/12 (PI)))) 2))) (* 6 (* (PI) (- (+ (* -1/24 (* (pow (PI) 2) (+ (* -1/12 (PI)) (* 1/8 (PI))))) (+ (* -1/960 (pow (PI) 3)) (+ (* 1/384 (pow (PI) 3)) (* 1/4 (* (PI) (+ (* -1/48 (pow (PI) 2)) (+ (* 1/96 (pow (PI) 2)) (* 1/4 (* (PI) (+ (* -1/12 (PI)) (* 1/8 (PI)))))))))))) (+ (* -1/4 (* (PI) (+ (* -1/4 (* (PI) (+ (* -1/8 (PI)) (* 1/12 (PI))))) (+ (* -1/48 (pow (PI) 2)) (* 1/96 (pow (PI) 2)))))) (+ (* -1/24 (* (pow (PI) 2) (+ (* -1/8 (PI)) (* 1/12 (PI))))) (+ (* -1/384 (pow (PI) 3)) (* 1/960 (pow (PI) 3))))))))))) (* 1/4 (* (PI) (- (* 1/4 (* (PI) (+ (* -1/12 (PI)) (* 1/8 (PI))))) (* -1/4 (* (PI) (+ (* -1/8 (PI)) (* 1/12 (PI))))))))))))))
(log (- (/ 1 (- (exp (* 1/2 (* f (PI)))) 1)) (/ 1 (- (exp (* -1/2 (* f (PI)))) 1))))
(log (- (/ 1 (- (exp (* 1/2 (* f (PI)))) 1)) (/ 1 (- (exp (* -1/2 (* f (PI)))) 1))))
(log (- (/ 1 (- (exp (* 1/2 (* f (PI)))) 1)) (/ 1 (- (exp (* -1/2 (* f (PI)))) 1))))
(log (- (/ 1 (- (exp (* 1/2 (* f (PI)))) 1)) (/ 1 (- (exp (* -1/2 (* f (PI)))) 1))))
(log (- (/ 1 (- (exp (* 1/2 (* f (PI)))) 1)) (/ 1 (- (exp (* -1/2 (* f (PI)))) 1))))
(log (- (/ 1 (- (exp (* 1/2 (* f (PI)))) 1)) (/ 1 (- (exp (* -1/2 (* f (PI)))) 1))))
(log (- (/ 1 (- (exp (* 1/2 (* f (PI)))) 1)) (/ 1 (- (exp (* -1/2 (* f (PI)))) 1))))
(log (- (/ 1 (- (exp (* 1/2 (* f (PI)))) 1)) (/ 1 (- (exp (* -1/2 (* f (PI)))) 1))))
(/ 4 (* f (PI)))
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(/ -1 (- (exp (* -1/2 (* f (PI)))) 1))
(/ 2 (* f (PI)))
(/ (+ (* -1/2 f) (* 2 (/ 1 (PI)))) f)
(/ (+ (* f (- (* -1 (* f (+ (* -1/8 (PI)) (* 1/12 (PI))))) 1/2)) (* 2 (/ 1 (PI)))) f)
(/ (+ (* f (- (* f (- (* -1 (* f (+ (* -1/4 (* (PI) (+ (* -1/8 (PI)) (* 1/12 (PI))))) (+ (* -1/48 (pow (PI) 2)) (* 1/96 (pow (PI) 2)))))) (+ (* -1/8 (PI)) (* 1/12 (PI))))) 1/2)) (* 2 (/ 1 (PI)))) f)
(/ 1 (- (exp (* 1/2 (* f (PI)))) 1))
(/ 1 (- (exp (* 1/2 (* f (PI)))) 1))
(/ 1 (- (exp (* 1/2 (* f (PI)))) 1))
(/ 1 (- (exp (* 1/2 (* f (PI)))) 1))
(/ 1 (- (exp (* 1/2 (* f (PI)))) 1))
(/ 1 (- (exp (* 1/2 (* f (PI)))) 1))
(/ 1 (- (exp (* 1/2 (* f (PI)))) 1))
(/ 1 (- (exp (* 1/2 (* f (PI)))) 1))
Outputs
(/ 2 (* f (PI)))
(/.f64 #s(literal 2 binary64) (*.f64 f (PI.f64)))
(/ (+ (* -1/2 f) (* 2 (/ 1 (PI)))) f)
(/.f64 (+.f64 (*.f64 f #s(literal -1/2 binary64)) (/.f64 #s(literal 2 binary64) (PI.f64))) f)
(/ (+ (* f (- (* -1 (* f (+ (* -1/8 (PI)) (* 1/12 (PI))))) 1/2)) (* 2 (/ 1 (PI)))) f)
(/.f64 (+.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (*.f64 f (+.f64 #s(literal -1/2 binary64) (*.f64 f (*.f64 (PI.f64) #s(literal 1/24 binary64)))))) f)
(/ (+ (* f (- (* f (- (* -1 (* f (+ (* -1/4 (* (PI) (+ (* -1/8 (PI)) (* 1/12 (PI))))) (+ (* -1/48 (pow (PI) 2)) (* 1/96 (pow (PI) 2)))))) (+ (* -1/8 (PI)) (* 1/12 (PI))))) 1/2)) (* 2 (/ 1 (PI)))) f)
(/.f64 (+.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (*.f64 f (+.f64 #s(literal -1/2 binary64) (*.f64 f (-.f64 (*.f64 (PI.f64) #s(literal 1/24 binary64)) (*.f64 f (*.f64 (PI.f64) (+.f64 (*.f64 (PI.f64) #s(literal -1/96 binary64)) (*.f64 (*.f64 (PI.f64) #s(literal 1/24 binary64)) #s(literal 1/4 binary64)))))))))) f)
(/ 1 (- (exp (* 1/2 (* f (PI)))) 1))
(/.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 f (*.f64 (PI.f64) #s(literal 1/2 binary64)))))
(/ 1 (- (exp (* 1/2 (* f (PI)))) 1))
(/.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 f (*.f64 (PI.f64) #s(literal 1/2 binary64)))))
(/ 1 (- (exp (* 1/2 (* f (PI)))) 1))
(/.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 f (*.f64 (PI.f64) #s(literal 1/2 binary64)))))
(/ 1 (- (exp (* 1/2 (* f (PI)))) 1))
(/.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 f (*.f64 (PI.f64) #s(literal 1/2 binary64)))))
(/ 1 (- (exp (* 1/2 (* f (PI)))) 1))
(/.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 f (*.f64 (PI.f64) #s(literal 1/2 binary64)))))
(/ 1 (- (exp (* 1/2 (* f (PI)))) 1))
(/.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 f (*.f64 (PI.f64) #s(literal 1/2 binary64)))))
(/ 1 (- (exp (* 1/2 (* f (PI)))) 1))
(/.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 f (*.f64 (PI.f64) #s(literal 1/2 binary64)))))
(/ 1 (- (exp (* 1/2 (* f (PI)))) 1))
(/.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 f (*.f64 (PI.f64) #s(literal 1/2 binary64)))))
(* -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))) (* -1 (* (pow f 2) (- (+ (* -1/12 (PI)) (* 1/8 (PI))) (+ (* -1/8 (PI)) (* 1/12 (PI)))))))
(+.f64 (/.f64 (*.f64 #s(literal -4 binary64) (-.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (log.f64 f))) (PI.f64)) (*.f64 f (*.f64 f (*.f64 (PI.f64) #s(literal -1/12 binary64)))))
(+ (* -4 (/ (+ (log (/ 4 (PI))) (* -1 (log f))) (PI))) (* (pow f 2) (+ (* -1 (* f (- (* 1/4 (* (PI) (+ (* -1/12 (PI)) (* 1/8 (PI))))) (* -1/4 (* (PI) (+ (* -1/8 (PI)) (* 1/12 (PI)))))))) (* -1 (- (+ (* -1/12 (PI)) (* 1/8 (PI))) (+ (* -1/8 (PI)) (* 1/12 (PI))))))))
(+.f64 (/.f64 (*.f64 #s(literal -4 binary64) (-.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (log.f64 f))) (PI.f64)) (*.f64 (*.f64 f f) (+.f64 (*.f64 (PI.f64) #s(literal -1/12 binary64)) (*.f64 f (*.f64 #s(literal -1/4 binary64) (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 0 binary64))))))))
(+ (* -4 (/ (+ (log (/ 4 (PI))) (* -1 (log f))) (PI))) (* (pow f 2) (+ (* -1 (- (+ (* -1/12 (PI)) (* 1/8 (PI))) (+ (* -1/8 (PI)) (* 1/12 (PI))))) (* f (+ (* -1 (- (* 1/4 (* (PI) (+ (* -1/12 (PI)) (* 1/8 (PI))))) (* -1/4 (* (PI) (+ (* -1/8 (PI)) (* 1/12 (PI))))))) (* -1/6 (/ (* f (+ (* -3/4 (* (pow (PI) 2) (pow (- (+ (* -1/12 (PI)) (* 1/8 (PI))) (+ (* -1/8 (PI)) (* 1/12 (PI)))) 2))) (* 6 (* (PI) (- (+ (* -1/24 (* (pow (PI) 2) (+ (* -1/12 (PI)) (* 1/8 (PI))))) (+ (* -1/960 (pow (PI) 3)) (+ (* 1/384 (pow (PI) 3)) (* 1/4 (* (PI) (+ (* -1/48 (pow (PI) 2)) (+ (* 1/96 (pow (PI) 2)) (* 1/4 (* (PI) (+ (* -1/12 (PI)) (* 1/8 (PI)))))))))))) (+ (* -1/4 (* (PI) (+ (* -1/4 (* (PI) (+ (* -1/8 (PI)) (* 1/12 (PI))))) (+ (* -1/48 (pow (PI) 2)) (* 1/96 (pow (PI) 2)))))) (+ (* -1/24 (* (pow (PI) 2) (+ (* -1/8 (PI)) (* 1/12 (PI))))) (+ (* -1/384 (pow (PI) 3)) (* 1/960 (pow (PI) 3)))))))))) (PI))))))))
(+.f64 (/.f64 (*.f64 #s(literal -4 binary64) (-.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (log.f64 f))) (PI.f64)) (*.f64 (*.f64 f f) (+.f64 (*.f64 (PI.f64) #s(literal -1/12 binary64)) (*.f64 f (+.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 0 binary64)))) (/.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 f (+.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/144 binary64)) #s(literal -3/4 binary64))) (*.f64 (+.f64 (-.f64 (*.f64 (*.f64 (PI.f64) (+.f64 (*.f64 (PI.f64) #s(literal -1/96 binary64)) (*.f64 (*.f64 (PI.f64) #s(literal 1/24 binary64)) #s(literal 1/4 binary64)))) (*.f64 (PI.f64) #s(literal 1/4 binary64))) (*.f64 (*.f64 (PI.f64) (PI.f64)) (+.f64 (*.f64 (*.f64 (PI.f64) #s(literal -1/24 binary64)) #s(literal -1/24 binary64)) (*.f64 (PI.f64) #s(literal -1/640 binary64))))) (-.f64 (*.f64 (*.f64 (PI.f64) (+.f64 (*.f64 (PI.f64) #s(literal -1/96 binary64)) (*.f64 (*.f64 (PI.f64) #s(literal 1/24 binary64)) #s(literal 1/4 binary64)))) (*.f64 (PI.f64) #s(literal 1/4 binary64))) (*.f64 (*.f64 (PI.f64) (PI.f64)) (+.f64 (*.f64 (*.f64 (PI.f64) #s(literal -1/24 binary64)) #s(literal -1/24 binary64)) (*.f64 (PI.f64) #s(literal -1/640 binary64)))))) (*.f64 (PI.f64) #s(literal 6 binary64)))))) (PI.f64)))))))
(* -4 (/ (log (- (/ 1 (- (exp (* 1/2 (* f (PI)))) 1)) (/ 1 (- (exp (* -1/2 (* f (PI)))) 1)))) (PI)))
(/.f64 (*.f64 #s(literal -4 binary64) (log.f64 (+.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 f (*.f64 (PI.f64) #s(literal 1/2 binary64))))) (/.f64 #s(literal -1 binary64) (expm1.f64 (*.f64 f (*.f64 #s(literal -1/2 binary64) (PI.f64)))))))) (PI.f64))
(* -4 (/ (log (- (/ 1 (- (exp (* 1/2 (* f (PI)))) 1)) (/ 1 (- (exp (* -1/2 (* f (PI)))) 1)))) (PI)))
(/.f64 (*.f64 #s(literal -4 binary64) (log.f64 (+.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 f (*.f64 (PI.f64) #s(literal 1/2 binary64))))) (/.f64 #s(literal -1 binary64) (expm1.f64 (*.f64 f (*.f64 #s(literal -1/2 binary64) (PI.f64)))))))) (PI.f64))
(* -4 (/ (log (- (/ 1 (- (exp (* 1/2 (* f (PI)))) 1)) (/ 1 (- (exp (* -1/2 (* f (PI)))) 1)))) (PI)))
(/.f64 (*.f64 #s(literal -4 binary64) (log.f64 (+.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 f (*.f64 (PI.f64) #s(literal 1/2 binary64))))) (/.f64 #s(literal -1 binary64) (expm1.f64 (*.f64 f (*.f64 #s(literal -1/2 binary64) (PI.f64)))))))) (PI.f64))
(* -4 (/ (log (- (/ 1 (- (exp (* 1/2 (* f (PI)))) 1)) (/ 1 (- (exp (* -1/2 (* f (PI)))) 1)))) (PI)))
(/.f64 (*.f64 #s(literal -4 binary64) (log.f64 (+.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 f (*.f64 (PI.f64) #s(literal 1/2 binary64))))) (/.f64 #s(literal -1 binary64) (expm1.f64 (*.f64 f (*.f64 #s(literal -1/2 binary64) (PI.f64)))))))) (PI.f64))
(* -4 (/ (log (- (/ 1 (- (exp (* 1/2 (* f (PI)))) 1)) (/ 1 (- (exp (* -1/2 (* f (PI)))) 1)))) (PI)))
(/.f64 (*.f64 #s(literal -4 binary64) (log.f64 (+.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 f (*.f64 (PI.f64) #s(literal 1/2 binary64))))) (/.f64 #s(literal -1 binary64) (expm1.f64 (*.f64 f (*.f64 #s(literal -1/2 binary64) (PI.f64)))))))) (PI.f64))
(* -4 (/ (log (- (/ 1 (- (exp (* 1/2 (* f (PI)))) 1)) (/ 1 (- (exp (* -1/2 (* f (PI)))) 1)))) (PI)))
(/.f64 (*.f64 #s(literal -4 binary64) (log.f64 (+.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 f (*.f64 (PI.f64) #s(literal 1/2 binary64))))) (/.f64 #s(literal -1 binary64) (expm1.f64 (*.f64 f (*.f64 #s(literal -1/2 binary64) (PI.f64)))))))) (PI.f64))
(* -4 (/ (log (- (/ 1 (- (exp (* 1/2 (* f (PI)))) 1)) (/ 1 (- (exp (* -1/2 (* f (PI)))) 1)))) (PI)))
(/.f64 (*.f64 #s(literal -4 binary64) (log.f64 (+.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 f (*.f64 (PI.f64) #s(literal 1/2 binary64))))) (/.f64 #s(literal -1 binary64) (expm1.f64 (*.f64 f (*.f64 #s(literal -1/2 binary64) (PI.f64)))))))) (PI.f64))
(* -4 (/ (log (- (/ 1 (- (exp (* 1/2 (* f (PI)))) 1)) (/ 1 (- (exp (* -1/2 (* f (PI)))) 1)))) (PI)))
(/.f64 (*.f64 #s(literal -4 binary64) (log.f64 (+.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 f (*.f64 (PI.f64) #s(literal 1/2 binary64))))) (/.f64 #s(literal -1 binary64) (expm1.f64 (*.f64 f (*.f64 #s(literal -1/2 binary64) (PI.f64)))))))) (PI.f64))
(+ (log (/ 4 (PI))) (* -1 (log f)))
(-.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (log.f64 f))
(+ (log (/ 4 (PI))) (+ (* -1 (log f)) (* 1/4 (* (pow f 2) (* (PI) (- (+ (* -1/12 (PI)) (* 1/8 (PI))) (+ (* -1/8 (PI)) (* 1/12 (PI)))))))))
(-.f64 (+.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (*.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/12 binary64))) f) f))) (log.f64 f))
(+ (log (/ 4 (PI))) (+ (* -1 (log f)) (* (pow f 2) (+ (* 1/4 (* f (* (PI) (- (* 1/4 (* (PI) (+ (* -1/12 (PI)) (* 1/8 (PI))))) (* -1/4 (* (PI) (+ (* -1/8 (PI)) (* 1/12 (PI))))))))) (* 1/4 (* (PI) (- (+ (* -1/12 (PI)) (* 1/8 (PI))) (+ (* -1/8 (PI)) (* 1/12 (PI))))))))))
(+.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (-.f64 (*.f64 f (*.f64 f (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) (+.f64 (*.f64 (PI.f64) #s(literal 1/12 binary64)) (*.f64 f (*.f64 #s(literal -1/4 binary64) (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 0 binary64))))))))) (log.f64 f)))
(+ (log (/ 4 (PI))) (+ (* -1 (log f)) (* (pow f 2) (+ (* 1/4 (* (PI) (- (+ (* -1/12 (PI)) (* 1/8 (PI))) (+ (* -1/8 (PI)) (* 1/12 (PI)))))) (* f (+ (* 1/24 (* f (+ (* -3/4 (* (pow (PI) 2) (pow (- (+ (* -1/12 (PI)) (* 1/8 (PI))) (+ (* -1/8 (PI)) (* 1/12 (PI)))) 2))) (* 6 (* (PI) (- (+ (* -1/24 (* (pow (PI) 2) (+ (* -1/12 (PI)) (* 1/8 (PI))))) (+ (* -1/960 (pow (PI) 3)) (+ (* 1/384 (pow (PI) 3)) (* 1/4 (* (PI) (+ (* -1/48 (pow (PI) 2)) (+ (* 1/96 (pow (PI) 2)) (* 1/4 (* (PI) (+ (* -1/12 (PI)) (* 1/8 (PI)))))))))))) (+ (* -1/4 (* (PI) (+ (* -1/4 (* (PI) (+ (* -1/8 (PI)) (* 1/12 (PI))))) (+ (* -1/48 (pow (PI) 2)) (* 1/96 (pow (PI) 2)))))) (+ (* -1/24 (* (pow (PI) 2) (+ (* -1/8 (PI)) (* 1/12 (PI))))) (+ (* -1/384 (pow (PI) 3)) (* 1/960 (pow (PI) 3))))))))))) (* 1/4 (* (PI) (- (* 1/4 (* (PI) (+ (* -1/12 (PI)) (* 1/8 (PI))))) (* -1/4 (* (PI) (+ (* -1/8 (PI)) (* 1/12 (PI))))))))))))))
(+.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (-.f64 (*.f64 (*.f64 f f) (+.f64 (*.f64 (*.f64 f (+.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/144 binary64)) #s(literal -3/4 binary64))) (*.f64 (+.f64 (-.f64 (*.f64 (*.f64 (PI.f64) (+.f64 (*.f64 (PI.f64) #s(literal -1/96 binary64)) (*.f64 (*.f64 (PI.f64) #s(literal 1/24 binary64)) #s(literal 1/4 binary64)))) (*.f64 (PI.f64) #s(literal 1/4 binary64))) (*.f64 (*.f64 (PI.f64) (PI.f64)) (+.f64 (*.f64 (*.f64 (PI.f64) #s(literal -1/24 binary64)) #s(literal -1/24 binary64)) (*.f64 (PI.f64) #s(literal -1/640 binary64))))) (-.f64 (*.f64 (*.f64 (PI.f64) (+.f64 (*.f64 (PI.f64) #s(literal -1/96 binary64)) (*.f64 (*.f64 (PI.f64) #s(literal 1/24 binary64)) #s(literal 1/4 binary64)))) (*.f64 (PI.f64) #s(literal 1/4 binary64))) (*.f64 (*.f64 (PI.f64) (PI.f64)) (+.f64 (*.f64 (*.f64 (PI.f64) #s(literal -1/24 binary64)) #s(literal -1/24 binary64)) (*.f64 (PI.f64) #s(literal -1/640 binary64)))))) (*.f64 (PI.f64) #s(literal 6 binary64))))) (*.f64 f #s(literal 1/24 binary64))) (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) (+.f64 (*.f64 (PI.f64) #s(literal 1/12 binary64)) (*.f64 f (*.f64 #s(literal -1/4 binary64) (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 0 binary64))))))))) (log.f64 f)))
(log (- (/ 1 (- (exp (* 1/2 (* f (PI)))) 1)) (/ 1 (- (exp (* -1/2 (* f (PI)))) 1))))
(log.f64 (+.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 f (*.f64 (PI.f64) #s(literal 1/2 binary64))))) (/.f64 #s(literal -1 binary64) (expm1.f64 (*.f64 f (*.f64 #s(literal -1/2 binary64) (PI.f64)))))))
(log (- (/ 1 (- (exp (* 1/2 (* f (PI)))) 1)) (/ 1 (- (exp (* -1/2 (* f (PI)))) 1))))
(log.f64 (+.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 f (*.f64 (PI.f64) #s(literal 1/2 binary64))))) (/.f64 #s(literal -1 binary64) (expm1.f64 (*.f64 f (*.f64 #s(literal -1/2 binary64) (PI.f64)))))))
(log (- (/ 1 (- (exp (* 1/2 (* f (PI)))) 1)) (/ 1 (- (exp (* -1/2 (* f (PI)))) 1))))
(log.f64 (+.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 f (*.f64 (PI.f64) #s(literal 1/2 binary64))))) (/.f64 #s(literal -1 binary64) (expm1.f64 (*.f64 f (*.f64 #s(literal -1/2 binary64) (PI.f64)))))))
(log (- (/ 1 (- (exp (* 1/2 (* f (PI)))) 1)) (/ 1 (- (exp (* -1/2 (* f (PI)))) 1))))
(log.f64 (+.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 f (*.f64 (PI.f64) #s(literal 1/2 binary64))))) (/.f64 #s(literal -1 binary64) (expm1.f64 (*.f64 f (*.f64 #s(literal -1/2 binary64) (PI.f64)))))))
(log (- (/ 1 (- (exp (* 1/2 (* f (PI)))) 1)) (/ 1 (- (exp (* -1/2 (* f (PI)))) 1))))
(log.f64 (+.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 f (*.f64 (PI.f64) #s(literal 1/2 binary64))))) (/.f64 #s(literal -1 binary64) (expm1.f64 (*.f64 f (*.f64 #s(literal -1/2 binary64) (PI.f64)))))))
(log (- (/ 1 (- (exp (* 1/2 (* f (PI)))) 1)) (/ 1 (- (exp (* -1/2 (* f (PI)))) 1))))
(log.f64 (+.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 f (*.f64 (PI.f64) #s(literal 1/2 binary64))))) (/.f64 #s(literal -1 binary64) (expm1.f64 (*.f64 f (*.f64 #s(literal -1/2 binary64) (PI.f64)))))))
(log (- (/ 1 (- (exp (* 1/2 (* f (PI)))) 1)) (/ 1 (- (exp (* -1/2 (* f (PI)))) 1))))
(log.f64 (+.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 f (*.f64 (PI.f64) #s(literal 1/2 binary64))))) (/.f64 #s(literal -1 binary64) (expm1.f64 (*.f64 f (*.f64 #s(literal -1/2 binary64) (PI.f64)))))))
(log (- (/ 1 (- (exp (* 1/2 (* f (PI)))) 1)) (/ 1 (- (exp (* -1/2 (* f (PI)))) 1))))
(log.f64 (+.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 f (*.f64 (PI.f64) #s(literal 1/2 binary64))))) (/.f64 #s(literal -1 binary64) (expm1.f64 (*.f64 f (*.f64 #s(literal -1/2 binary64) (PI.f64)))))))
(/ 4 (* f (PI)))
(/.f64 #s(literal 4 binary64) (*.f64 f (PI.f64)))
(/ (+ (* (pow f 2) (- (+ (* -1/12 (PI)) (* 1/8 (PI))) (+ (* -1/8 (PI)) (* 1/12 (PI))))) (* 4 (/ 1 (PI)))) f)
(/.f64 (+.f64 (*.f64 f (*.f64 f (*.f64 (PI.f64) #s(literal 1/12 binary64)))) (/.f64 #s(literal 4 binary64) (PI.f64))) f)
(/ (+ (* (pow f 2) (- (+ (* -1/12 (PI)) (+ (* 1/8 (PI)) (* f (- (* 1/4 (* (PI) (+ (* -1/12 (PI)) (* 1/8 (PI))))) (* -1/4 (* (PI) (+ (* -1/8 (PI)) (* 1/12 (PI))))))))) (+ (* -1/8 (PI)) (* 1/12 (PI))))) (* 4 (/ 1 (PI)))) f)
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(log.f64 (+.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 f (*.f64 (PI.f64) #s(literal 1/2 binary64))))) (/.f64 #s(literal -1 binary64) (expm1.f64 (*.f64 f (*.f64 #s(literal -1/2 binary64) (PI.f64)))))))
(log (- (/ 1 (- (exp (* 1/2 (* f (PI)))) 1)) (/ 1 (- (exp (* -1/2 (* f (PI)))) 1))))
(log.f64 (+.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 f (*.f64 (PI.f64) #s(literal 1/2 binary64))))) (/.f64 #s(literal -1 binary64) (expm1.f64 (*.f64 f (*.f64 #s(literal -1/2 binary64) (PI.f64)))))))
(log (- (/ 1 (- (exp (* 1/2 (* f (PI)))) 1)) (/ 1 (- (exp (* -1/2 (* f (PI)))) 1))))
(log.f64 (+.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 f (*.f64 (PI.f64) #s(literal 1/2 binary64))))) (/.f64 #s(literal -1 binary64) (expm1.f64 (*.f64 f (*.f64 #s(literal -1/2 binary64) (PI.f64)))))))
(log (- (/ 1 (- (exp (* 1/2 (* f (PI)))) 1)) (/ 1 (- (exp (* -1/2 (* f (PI)))) 1))))
(log.f64 (+.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 f (*.f64 (PI.f64) #s(literal 1/2 binary64))))) (/.f64 #s(literal -1 binary64) (expm1.f64 (*.f64 f (*.f64 #s(literal -1/2 binary64) (PI.f64)))))))
(log (- (/ 1 (- (exp (* 1/2 (* f (PI)))) 1)) (/ 1 (- (exp (* -1/2 (* f (PI)))) 1))))
(log.f64 (+.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 f (*.f64 (PI.f64) #s(literal 1/2 binary64))))) (/.f64 #s(literal -1 binary64) (expm1.f64 (*.f64 f (*.f64 #s(literal -1/2 binary64) (PI.f64)))))))
(log (- (/ 1 (- (exp (* 1/2 (* f (PI)))) 1)) (/ 1 (- (exp (* -1/2 (* f (PI)))) 1))))
(log.f64 (+.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 f (*.f64 (PI.f64) #s(literal 1/2 binary64))))) (/.f64 #s(literal -1 binary64) (expm1.f64 (*.f64 f (*.f64 #s(literal -1/2 binary64) (PI.f64)))))))
(/ 2 (* f (PI)))
(/.f64 #s(literal 2 binary64) (*.f64 f (PI.f64)))
(/ (+ (* 1/2 f) (* 2 (/ 1 (PI)))) f)
(/.f64 (+.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (*.f64 f #s(literal 1/2 binary64))) f)
(/ (+ (* f (+ 1/2 (* -1 (* f (+ (* -1/8 (PI)) (* 1/12 (PI))))))) (* 2 (/ 1 (PI)))) f)
(/.f64 (+.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (*.f64 f (+.f64 #s(literal 1/2 binary64) (*.f64 f (*.f64 (PI.f64) #s(literal 1/24 binary64)))))) f)
(/ (+ (* f (+ 1/2 (* f (- (* -1 (* f (+ (* -1/96 (pow (PI) 2)) (+ (* 1/48 (pow (PI) 2)) (* 1/4 (* (PI) (+ (* -1/8 (PI)) (* 1/12 (PI))))))))) (+ (* -1/8 (PI)) (* 1/12 (PI))))))) (* 2 (/ 1 (PI)))) f)
(/.f64 (+.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (*.f64 f (+.f64 #s(literal 1/2 binary64) (*.f64 f (-.f64 (*.f64 (PI.f64) #s(literal 1/24 binary64)) (*.f64 f (*.f64 (PI.f64) (+.f64 (*.f64 (PI.f64) #s(literal 1/96 binary64)) (*.f64 (*.f64 (PI.f64) #s(literal -1/24 binary64)) #s(literal 1/4 binary64)))))))))) f)
(/ -1 (- (exp (* -1/2 (* f (PI)))) 1))
(/.f64 #s(literal -1 binary64) (expm1.f64 (*.f64 f (*.f64 #s(literal -1/2 binary64) (PI.f64)))))
(/ -1 (- (exp (* -1/2 (* f (PI)))) 1))
(/.f64 #s(literal -1 binary64) (expm1.f64 (*.f64 f (*.f64 #s(literal -1/2 binary64) (PI.f64)))))
(/ -1 (- (exp (* -1/2 (* f (PI)))) 1))
(/.f64 #s(literal -1 binary64) (expm1.f64 (*.f64 f (*.f64 #s(literal -1/2 binary64) (PI.f64)))))
(/ -1 (- (exp (* -1/2 (* f (PI)))) 1))
(/.f64 #s(literal -1 binary64) (expm1.f64 (*.f64 f (*.f64 #s(literal -1/2 binary64) (PI.f64)))))
(/ -1 (- (exp (* -1/2 (* f (PI)))) 1))
(/.f64 #s(literal -1 binary64) (expm1.f64 (*.f64 f (*.f64 #s(literal -1/2 binary64) (PI.f64)))))
(/ -1 (- (exp (* -1/2 (* f (PI)))) 1))
(/.f64 #s(literal -1 binary64) (expm1.f64 (*.f64 f (*.f64 #s(literal -1/2 binary64) (PI.f64)))))
(/ -1 (- (exp (* -1/2 (* f (PI)))) 1))
(/.f64 #s(literal -1 binary64) (expm1.f64 (*.f64 f (*.f64 #s(literal -1/2 binary64) (PI.f64)))))
(/ -1 (- (exp (* -1/2 (* f (PI)))) 1))
(/.f64 #s(literal -1 binary64) (expm1.f64 (*.f64 f (*.f64 #s(literal -1/2 binary64) (PI.f64)))))
(/ 2 (* f (PI)))
(/.f64 #s(literal 2 binary64) (*.f64 f (PI.f64)))
(/ (+ (* -1/2 f) (* 2 (/ 1 (PI)))) f)
(/.f64 (+.f64 (*.f64 f #s(literal -1/2 binary64)) (/.f64 #s(literal 2 binary64) (PI.f64))) f)
(/ (+ (* f (- (* -1 (* f (+ (* -1/8 (PI)) (* 1/12 (PI))))) 1/2)) (* 2 (/ 1 (PI)))) f)
(/.f64 (+.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (*.f64 f (+.f64 #s(literal -1/2 binary64) (*.f64 f (*.f64 (PI.f64) #s(literal 1/24 binary64)))))) f)
(/ (+ (* f (- (* f (- (* -1 (* f (+ (* -1/4 (* (PI) (+ (* -1/8 (PI)) (* 1/12 (PI))))) (+ (* -1/48 (pow (PI) 2)) (* 1/96 (pow (PI) 2)))))) (+ (* -1/8 (PI)) (* 1/12 (PI))))) 1/2)) (* 2 (/ 1 (PI)))) f)
(/.f64 (+.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (*.f64 f (+.f64 #s(literal -1/2 binary64) (*.f64 f (-.f64 (*.f64 (PI.f64) #s(literal 1/24 binary64)) (*.f64 f (*.f64 (PI.f64) (+.f64 (*.f64 (PI.f64) #s(literal -1/96 binary64)) (*.f64 (*.f64 (PI.f64) #s(literal 1/24 binary64)) #s(literal 1/4 binary64)))))))))) f)
(/ 1 (- (exp (* 1/2 (* f (PI)))) 1))
(/.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 f (*.f64 (PI.f64) #s(literal 1/2 binary64)))))
(/ 1 (- (exp (* 1/2 (* f (PI)))) 1))
(/.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 f (*.f64 (PI.f64) #s(literal 1/2 binary64)))))
(/ 1 (- (exp (* 1/2 (* f (PI)))) 1))
(/.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 f (*.f64 (PI.f64) #s(literal 1/2 binary64)))))
(/ 1 (- (exp (* 1/2 (* f (PI)))) 1))
(/.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 f (*.f64 (PI.f64) #s(literal 1/2 binary64)))))
(/ 1 (- (exp (* 1/2 (* f (PI)))) 1))
(/.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 f (*.f64 (PI.f64) #s(literal 1/2 binary64)))))
(/ 1 (- (exp (* 1/2 (* f (PI)))) 1))
(/.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 f (*.f64 (PI.f64) #s(literal 1/2 binary64)))))
(/ 1 (- (exp (* 1/2 (* f (PI)))) 1))
(/.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 f (*.f64 (PI.f64) #s(literal 1/2 binary64)))))
(/ 1 (- (exp (* 1/2 (* f (PI)))) 1))
(/.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 f (*.f64 (PI.f64) #s(literal 1/2 binary64)))))

eval584.0ms (2.8%)

Memory
52.5MiB live, 1 222.3MiB allocated
Compiler

Compiled 131 725 to 14 798 computations (88.8% saved)

prune359.0ms (1.7%)

Memory
-46.9MiB live, 762.8MiB allocated
Pruning

18 alts after pruning (18 fresh and 0 done)

PrunedKeptTotal
New2 437162 453
Fresh426
Picked505
Done000
Total2 446182 464
Accuracy
100.0%
Counts
2 464 → 18
Alt Table
Click to see full alt table
StatusAccuracyProgram
95.9%
(/.f64 (/.f64 (-.f64 (pow.f64 (log.f64 #s(literal 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 4 binary64)) #s(literal 2 binary64)) (+.f64 (pow.f64 (log.f64 (*.f64 (PI.f64) f)) #s(literal 2 binary64)) (*.f64 (log.f64 #s(literal 4 binary64)) (log.f64 (*.f64 (PI.f64) f)))))) (/.f64 (PI.f64) #s(literal -4 binary64)))
▶99.1%
(/.f64 (/.f64 (log.f64 (+.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 (*.f64 (PI.f64) f) #s(literal 2 binary64)))) (/.f64 #s(literal -1 binary64) (expm1.f64 (*.f64 (PI.f64) (*.f64 f #s(literal -1/2 binary64))))))) (PI.f64)) #s(literal -1/4 binary64))
▶96.8%
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (+.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (*.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/12 binary64))) f) f))) (log.f64 f)))) (/.f64 (PI.f64) #s(literal -4 binary64)))
98.6%
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (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 (cbrt.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) #s(literal -4 binary64)))
98.9%
(/.f64 (/.f64 #s(literal -4 binary64) (PI.f64)) (/.f64 #s(literal 1 binary64) (log.f64 (+.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 (*.f64 (PI.f64) f) #s(literal 2 binary64)))) (/.f64 #s(literal -1 binary64) (expm1.f64 (*.f64 (PI.f64) (*.f64 f #s(literal -1/2 binary64)))))))))
▶95.6%
(/.f64 (-.f64 (log.f64 (/.f64 #s(literal 4 binary64) f)) (log.f64 (PI.f64))) (/.f64 (PI.f64) #s(literal -4 binary64)))
32.7%
(/.f64 (*.f64 #s(literal -4 binary64) (log.f64 (/.f64 #s(literal -1 binary64) (expm1.f64 (*.f64 f (*.f64 #s(literal -1/2 binary64) (PI.f64))))))) (PI.f64))
96.0%
(/.f64 (log.f64 (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f)) (/.f64 (PI.f64) #s(literal -4 binary64)))
96.6%
(/.f64 (log.f64 (/.f64 (+.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (*.f64 (*.f64 f f) (+.f64 (*.f64 (cbrt.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) #s(literal 1/12 binary64)) (*.f64 f (*.f64 f (+.f64 (-.f64 (*.f64 (*.f64 (PI.f64) (+.f64 (*.f64 (*.f64 (PI.f64) #s(literal -1/24 binary64)) #s(literal -1/4 binary64)) (*.f64 (PI.f64) #s(literal -1/96 binary64)))) (*.f64 (PI.f64) #s(literal 1/4 binary64))) (*.f64 (*.f64 (PI.f64) (PI.f64)) (+.f64 (*.f64 (*.f64 (PI.f64) #s(literal -1/24 binary64)) #s(literal -1/24 binary64)) (*.f64 (PI.f64) #s(literal -1/640 binary64))))) (-.f64 (*.f64 (*.f64 (PI.f64) (+.f64 (*.f64 (*.f64 (PI.f64) #s(literal -1/24 binary64)) #s(literal -1/4 binary64)) (*.f64 (PI.f64) #s(literal -1/96 binary64)))) (*.f64 (PI.f64) #s(literal 1/4 binary64))) (*.f64 (*.f64 (PI.f64) (PI.f64)) (+.f64 (*.f64 (*.f64 (PI.f64) #s(literal -1/24 binary64)) #s(literal -1/24 binary64)) (*.f64 (PI.f64) #s(literal -1/640 binary64))))))))))) f)) (/.f64 (PI.f64) #s(literal -4 binary64)))
96.6%
(/.f64 (log.f64 (/.f64 (+.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (*.f64 (*.f64 f f) (+.f64 (*.f64 (PI.f64) #s(literal 1/12 binary64)) (*.f64 f (*.f64 f (*.f64 (*.f64 (PI.f64) (-.f64 (*.f64 (*.f64 (PI.f64) #s(literal 0 binary64)) (/.f64 (PI.f64) #s(literal 4 binary64))) (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/5760 binary64))))) #s(literal 2 binary64))))))) f)) (/.f64 (PI.f64) #s(literal -4 binary64)))
95.4%
(/.f64 (log.f64 (/.f64 (+.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (*.f64 f #s(literal 1/2 binary64))) f)) (/.f64 (PI.f64) #s(literal -4 binary64)))
▶96.5%
(/.f64 (log.f64 (/.f64 (+.f64 (*.f64 (*.f64 f f) (*.f64 (PI.f64) #s(literal 1/12 binary64))) (/.f64 #s(literal 4 binary64) (PI.f64))) f)) (/.f64 (PI.f64) #s(literal -4 binary64)))
95.5%
(/.f64 (log.f64 (/.f64 #s(literal 4 binary64) (*.f64 (PI.f64) f))) (/.f64 (cbrt.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) #s(literal -4 binary64)))
95.4%
(/.f64 (log.f64 (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 (PI.f64) f)) (/.f64 (+.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (*.f64 f #s(literal 1/2 binary64))) f))) (/.f64 (PI.f64) #s(literal -4 binary64)))
95.9%
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (PI.f64) #s(literal -4 binary64)) (log.f64 (/.f64 #s(literal 4 binary64) (*.f64 (PI.f64) f)))))
96.3%
(-.f64 (/.f64 (log.f64 #s(literal 4 binary64)) (/.f64 (PI.f64) #s(literal -4 binary64))) (/.f64 (log.f64 (*.f64 (PI.f64) f)) (/.f64 (PI.f64) #s(literal -4 binary64))))
96.3%
(*.f64 (-.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (log.f64 f)) (/.f64 #s(literal -4 binary64) (PI.f64)))
▶96.3%
(*.f64 (log.f64 (/.f64 (*.f64 (PI.f64) f) #s(literal 4 binary64))) (/.f64 #s(literal 4 binary64) (PI.f64)))
Compiler

Compiled 866 to 588 computations (32.1% saved)

simplify267.0ms (1.3%)

Memory
25.5MiB live, 311.9MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(/.f64 #s(literal 1 binary64) (-.f64 (+.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (*.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/12 binary64))) f) f))) (log.f64 f)))
✓cost-diff128
(*.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/12 binary64))) f) f))
✓cost-diff128
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (+.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (*.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/12 binary64))) f) f))) (log.f64 f)))) (/.f64 (PI.f64) #s(literal -4 binary64)))
✓cost-diff256
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (+.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (*.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/12 binary64))) f) f))) (log.f64 f))))
✓cost-diff0
(/.f64 #s(literal 4 binary64) f)
✓cost-diff0
(log.f64 (/.f64 #s(literal 4 binary64) f))
✓cost-diff0
(-.f64 (log.f64 (/.f64 #s(literal 4 binary64) f)) (log.f64 (PI.f64)))
✓cost-diff0
(/.f64 (-.f64 (log.f64 (/.f64 #s(literal 4 binary64) f)) (log.f64 (PI.f64))) (/.f64 (PI.f64) #s(literal -4 binary64)))
✓cost-diff0
(+.f64 (*.f64 (*.f64 f f) (*.f64 (PI.f64) #s(literal 1/12 binary64))) (/.f64 #s(literal 4 binary64) (PI.f64)))
✓cost-diff0
(/.f64 (+.f64 (*.f64 (*.f64 f f) (*.f64 (PI.f64) #s(literal 1/12 binary64))) (/.f64 #s(literal 4 binary64) (PI.f64))) f)
✓cost-diff0
(log.f64 (/.f64 (+.f64 (*.f64 (*.f64 f f) (*.f64 (PI.f64) #s(literal 1/12 binary64))) (/.f64 #s(literal 4 binary64) (PI.f64))) f))
✓cost-diff0
(/.f64 (log.f64 (/.f64 (+.f64 (*.f64 (*.f64 f f) (*.f64 (PI.f64) #s(literal 1/12 binary64))) (/.f64 #s(literal 4 binary64) (PI.f64))) f)) (/.f64 (PI.f64) #s(literal -4 binary64)))
✓cost-diff0
(*.f64 (PI.f64) f)
✓cost-diff0
(/.f64 (*.f64 (PI.f64) f) #s(literal 4 binary64))
✓cost-diff0
(log.f64 (/.f64 (*.f64 (PI.f64) f) #s(literal 4 binary64)))
✓cost-diff0
(*.f64 (log.f64 (/.f64 (*.f64 (PI.f64) f) #s(literal 4 binary64))) (/.f64 #s(literal 4 binary64) (PI.f64)))
✓cost-diff0
(+.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 (*.f64 (PI.f64) f) #s(literal 2 binary64)))) (/.f64 #s(literal -1 binary64) (expm1.f64 (*.f64 (PI.f64) (*.f64 f #s(literal -1/2 binary64))))))
✓cost-diff0
(log.f64 (+.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 (*.f64 (PI.f64) f) #s(literal 2 binary64)))) (/.f64 #s(literal -1 binary64) (expm1.f64 (*.f64 (PI.f64) (*.f64 f #s(literal -1/2 binary64)))))))
✓cost-diff0
(/.f64 (log.f64 (+.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 (*.f64 (PI.f64) f) #s(literal 2 binary64)))) (/.f64 #s(literal -1 binary64) (expm1.f64 (*.f64 (PI.f64) (*.f64 f #s(literal -1/2 binary64))))))) (PI.f64))
✓cost-diff0
(/.f64 (/.f64 (log.f64 (+.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 (*.f64 (PI.f64) f) #s(literal 2 binary64)))) (/.f64 #s(literal -1 binary64) (expm1.f64 (*.f64 (PI.f64) (*.f64 f #s(literal -1/2 binary64))))))) (PI.f64)) #s(literal -1/4 binary64))
Rules
6 114×accelerator-lowering-fma.f32
6 114×accelerator-lowering-fma.f64
4 716×*-lowering-*.f32
4 716×*-lowering-*.f64
1 688×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
053442
1116442
2247430
3538430
41184430
53122428
66579428
08081401
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(/ (/ (log (+ (/ 1 (- (exp (/ (* (PI) f) 2)) 1)) (/ -1 (- (exp (* (PI) (* f -1/2))) 1)))) (PI)) -1/4)
(/ (log (+ (/ 1 (- (exp (/ (* (PI) f) 2)) 1)) (/ -1 (- (exp (* (PI) (* f -1/2))) 1)))) (PI))
(log (+ (/ 1 (- (exp (/ (* (PI) f) 2)) 1)) (/ -1 (- (exp (* (PI) (* f -1/2))) 1))))
(+ (/ 1 (- (exp (/ (* (PI) f) 2)) 1)) (/ -1 (- (exp (* (PI) (* f -1/2))) 1)))
(/ 1 (- (exp (/ (* (PI) f) 2)) 1))
1
(- (exp (/ (* (PI) f) 2)) 1)
(/ (* (PI) f) 2)
(* (PI) f)
(PI)
f
2
(/ -1 (- (exp (* (PI) (* f -1/2))) 1))
-1
(- (exp (* (PI) (* f -1/2))) 1)
(* (PI) (* f -1/2))
(* f -1/2)
-1/2
-1/4
(* (log (/ (* (PI) f) 4)) (/ 4 (PI)))
(log (/ (* (PI) f) 4))
(/ (* (PI) f) 4)
(* (PI) f)
(PI)
f
4
(/ 4 (PI))
(/ (log (/ (+ (* (* f f) (* (PI) 1/12)) (/ 4 (PI))) f)) (/ (PI) -4))
(log (/ (+ (* (* f f) (* (PI) 1/12)) (/ 4 (PI))) f))
(/ (+ (* (* f f) (* (PI) 1/12)) (/ 4 (PI))) f)
(+ (* (* f f) (* (PI) 1/12)) (/ 4 (PI)))
(* (* f f) (* (PI) 1/12))
(* f f)
f
(* (PI) 1/12)
(PI)
1/12
(/ 4 (PI))
4
(/ (PI) -4)
-4
(/ (- (log (/ 4 f)) (log (PI))) (/ (PI) -4))
(- (log (/ 4 f)) (log (PI)))
(log (/ 4 f))
(/ 4 f)
4
f
(log (PI))
(PI)
(/ (PI) -4)
-4
(/ (/ 1 (/ 1 (- (+ (log (/ 4 (PI))) (* 1/4 (* (* (* (PI) (* (PI) 1/12)) f) f))) (log f)))) (/ (PI) -4))
(/ 1 (/ 1 (- (+ (log (/ 4 (PI))) (* 1/4 (* (* (* (PI) (* (PI) 1/12)) f) f))) (log f))))
1
(/ 1 (- (+ (log (/ 4 (PI))) (* 1/4 (* (* (* (PI) (* (PI) 1/12)) f) f))) (log f)))
(- (+ (log (/ 4 (PI))) (* 1/4 (* (* (* (PI) (* (PI) 1/12)) f) f))) (log f))
(+ (log (/ 4 (PI))) (* 1/4 (* (* (* (PI) (* (PI) 1/12)) f) f)))
(log (/ 4 (PI)))
(/ 4 (PI))
4
(PI)
(* 1/4 (* (* (* (PI) (* (PI) 1/12)) f) f))
1/4
(* (* (* (PI) (* (PI) 1/12)) f) f)
(* (* (PI) (* (PI) 1/12)) f)
(* (PI) (* (PI) 1/12))
(* (PI) 1/12)
1/12
f
(log f)
(/ (PI) -4)
-4
Outputs
(/ (/ (log (+ (/ 1 (- (exp (/ (* (PI) f) 2)) 1)) (/ -1 (- (exp (* (PI) (* f -1/2))) 1)))) (PI)) -1/4)
(/.f64 (log.f64 (+.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 (*.f64 (PI.f64) f) #s(literal 2 binary64)))) (/.f64 #s(literal -1 binary64) (expm1.f64 (*.f64 (PI.f64) (*.f64 f #s(literal -1/2 binary64))))))) (/.f64 (PI.f64) #s(literal -4 binary64)))
(/ (log (+ (/ 1 (- (exp (/ (* (PI) f) 2)) 1)) (/ -1 (- (exp (* (PI) (* f -1/2))) 1)))) (PI))
(/.f64 (log.f64 (+.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 (*.f64 (PI.f64) f) #s(literal 2 binary64)))) (/.f64 #s(literal -1 binary64) (expm1.f64 (*.f64 (PI.f64) (*.f64 f #s(literal -1/2 binary64))))))) (PI.f64))
(log (+ (/ 1 (- (exp (/ (* (PI) f) 2)) 1)) (/ -1 (- (exp (* (PI) (* f -1/2))) 1))))
(log.f64 (+.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 (*.f64 (PI.f64) f) #s(literal 2 binary64)))) (/.f64 #s(literal -1 binary64) (expm1.f64 (*.f64 (PI.f64) (*.f64 f #s(literal -1/2 binary64)))))))
(+ (/ 1 (- (exp (/ (* (PI) f) 2)) 1)) (/ -1 (- (exp (* (PI) (* f -1/2))) 1)))
(+.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 (*.f64 (PI.f64) f) #s(literal 2 binary64)))) (/.f64 #s(literal -1 binary64) (expm1.f64 (*.f64 (PI.f64) (*.f64 f #s(literal -1/2 binary64))))))
(/ 1 (- (exp (/ (* (PI) f) 2)) 1))
(/.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 (*.f64 (PI.f64) f) #s(literal 2 binary64))))
1
#s(literal 1 binary64)
(- (exp (/ (* (PI) f) 2)) 1)
(expm1.f64 (/.f64 (*.f64 (PI.f64) f) #s(literal 2 binary64)))
(/ (* (PI) f) 2)
(/.f64 (*.f64 (PI.f64) f) #s(literal 2 binary64))
(* (PI) f)
(*.f64 (PI.f64) f)
(PI)
(PI.f64)
f
2
#s(literal 2 binary64)
(/ -1 (- (exp (* (PI) (* f -1/2))) 1))
(/.f64 #s(literal -1 binary64) (expm1.f64 (*.f64 (PI.f64) (*.f64 f #s(literal -1/2 binary64)))))
-1
#s(literal -1 binary64)
(- (exp (* (PI) (* f -1/2))) 1)
(expm1.f64 (*.f64 (PI.f64) (*.f64 f #s(literal -1/2 binary64))))
(* (PI) (* f -1/2))
(*.f64 (PI.f64) (*.f64 f #s(literal -1/2 binary64)))
(* f -1/2)
(*.f64 f #s(literal -1/2 binary64))
-1/2
#s(literal -1/2 binary64)
-1/4
#s(literal -1/4 binary64)
(* (log (/ (* (PI) f) 4)) (/ 4 (PI)))
(*.f64 (log.f64 (/.f64 (*.f64 (PI.f64) f) #s(literal 4 binary64))) (/.f64 #s(literal 4 binary64) (PI.f64)))
(log (/ (* (PI) f) 4))
(log.f64 (/.f64 (*.f64 (PI.f64) f) #s(literal 4 binary64)))
(/ (* (PI) f) 4)
(/.f64 (*.f64 (PI.f64) f) #s(literal 4 binary64))
(* (PI) f)
(*.f64 (PI.f64) f)
(PI)
(PI.f64)
f
4
#s(literal 4 binary64)
(/ 4 (PI))
(/.f64 #s(literal 4 binary64) (PI.f64))
(/ (log (/ (+ (* (* f f) (* (PI) 1/12)) (/ 4 (PI))) f)) (/ (PI) -4))
(/.f64 (log.f64 (/.f64 (+.f64 (*.f64 (PI.f64) (*.f64 (*.f64 f f) #s(literal 1/12 binary64))) (/.f64 #s(literal 4 binary64) (PI.f64))) f)) (/.f64 (PI.f64) #s(literal -4 binary64)))
(log (/ (+ (* (* f f) (* (PI) 1/12)) (/ 4 (PI))) f))
(log.f64 (/.f64 (+.f64 (*.f64 (PI.f64) (*.f64 (*.f64 f f) #s(literal 1/12 binary64))) (/.f64 #s(literal 4 binary64) (PI.f64))) f))
(/ (+ (* (* f f) (* (PI) 1/12)) (/ 4 (PI))) f)
(/.f64 (+.f64 (*.f64 (PI.f64) (*.f64 (*.f64 f f) #s(literal 1/12 binary64))) (/.f64 #s(literal 4 binary64) (PI.f64))) f)
(+ (* (* f f) (* (PI) 1/12)) (/ 4 (PI)))
(+.f64 (*.f64 (PI.f64) (*.f64 (*.f64 f f) #s(literal 1/12 binary64))) (/.f64 #s(literal 4 binary64) (PI.f64)))
(* (* f f) (* (PI) 1/12))
(*.f64 (PI.f64) (*.f64 (*.f64 f f) #s(literal 1/12 binary64)))
(* f f)
(*.f64 f f)
f
(* (PI) 1/12)
(*.f64 (PI.f64) #s(literal 1/12 binary64))
(PI)
(PI.f64)
1/12
#s(literal 1/12 binary64)
(/ 4 (PI))
(/.f64 #s(literal 4 binary64) (PI.f64))
4
#s(literal 4 binary64)
(/ (PI) -4)
(/.f64 (PI.f64) #s(literal -4 binary64))
-4
#s(literal -4 binary64)
(/ (- (log (/ 4 f)) (log (PI))) (/ (PI) -4))
(/.f64 (-.f64 (log.f64 (PI.f64)) (log.f64 (/.f64 #s(literal 4 binary64) f))) (/.f64 (PI.f64) #s(literal 4 binary64)))
(- (log (/ 4 f)) (log (PI)))
(-.f64 (log.f64 (/.f64 #s(literal 4 binary64) f)) (log.f64 (PI.f64)))
(log (/ 4 f))
(log.f64 (/.f64 #s(literal 4 binary64) f))
(/ 4 f)
(/.f64 #s(literal 4 binary64) f)
4
#s(literal 4 binary64)
f
(log (PI))
(log.f64 (PI.f64))
(PI)
(PI.f64)
(/ (PI) -4)
(/.f64 (PI.f64) #s(literal -4 binary64))
-4
#s(literal -4 binary64)
(/ (/ 1 (/ 1 (- (+ (log (/ 4 (PI))) (* 1/4 (* (* (* (PI) (* (PI) 1/12)) f) f))) (log f)))) (/ (PI) -4))
(+.f64 (*.f64 (PI.f64) (*.f64 (*.f64 f f) #s(literal -1/12 binary64))) (/.f64 (-.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (log.f64 f)) (/.f64 (PI.f64) #s(literal -4 binary64))))
(/ 1 (/ 1 (- (+ (log (/ 4 (PI))) (* 1/4 (* (* (* (PI) (* (PI) 1/12)) f) f))) (log f))))
(+.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (-.f64 (*.f64 #s(literal 1/48 binary64) (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 f f)))) (log.f64 f)))
1
#s(literal 1 binary64)
(/ 1 (- (+ (log (/ 4 (PI))) (* 1/4 (* (* (* (PI) (* (PI) 1/12)) f) f))) (log f)))
(/.f64 #s(literal 1 binary64) (+.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (-.f64 (*.f64 #s(literal 1/48 binary64) (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 f f)))) (log.f64 f))))
(- (+ (log (/ 4 (PI))) (* 1/4 (* (* (* (PI) (* (PI) 1/12)) f) f))) (log f))
(+.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (-.f64 (*.f64 #s(literal 1/48 binary64) (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 f f)))) (log.f64 f)))
(+ (log (/ 4 (PI))) (* 1/4 (* (* (* (PI) (* (PI) 1/12)) f) f)))
(+.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (*.f64 #s(literal 1/48 binary64) (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 f f)))))
(log (/ 4 (PI)))
(log.f64 (/.f64 #s(literal 4 binary64) (PI.f64)))
(/ 4 (PI))
(/.f64 #s(literal 4 binary64) (PI.f64))
4
#s(literal 4 binary64)
(PI)
(PI.f64)
(* 1/4 (* (* (* (PI) (* (PI) 1/12)) f) f))
(*.f64 #s(literal 1/48 binary64) (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 f f))))
1/4
#s(literal 1/4 binary64)
(* (* (* (PI) (* (PI) 1/12)) f) f)
(*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (*.f64 f f) #s(literal 1/12 binary64))))
(* (* (PI) (* (PI) 1/12)) f)
(*.f64 f (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/12 binary64))))
(* (PI) (* (PI) 1/12))
(*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/12 binary64)))
(* (PI) 1/12)
(*.f64 (PI.f64) #s(literal 1/12 binary64))
1/12
#s(literal 1/12 binary64)
f
(log f)
(log.f64 f)
(/ (PI) -4)
(/.f64 (PI.f64) #s(literal -4 binary64))
-4
#s(literal -4 binary64)

localize230.0ms (1.1%)

Memory
-3.1MiB live, 313.1MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
✓accuracy99.5%
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (+.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (*.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/12 binary64))) f) f))) (log.f64 f)))) (/.f64 (PI.f64) #s(literal -4 binary64)))
✓accuracy98.4%
(*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/12 binary64)))
✓accuracy98.4%
(*.f64 (PI.f64) #s(literal 1/12 binary64))
✓accuracy96.9%
(log.f64 (/.f64 #s(literal 4 binary64) (PI.f64)))
✓accuracy100.0%
(PI.f64)
✓accuracy99.6%
(-.f64 (log.f64 (/.f64 #s(literal 4 binary64) f)) (log.f64 (PI.f64)))
✓accuracy99.5%
(/.f64 (-.f64 (log.f64 (/.f64 #s(literal 4 binary64) f)) (log.f64 (PI.f64))) (/.f64 (PI.f64) #s(literal -4 binary64)))
✓accuracy99.2%
(log.f64 (/.f64 #s(literal 4 binary64) f))
✓accuracy99.5%
(*.f64 (*.f64 f f) (*.f64 (PI.f64) #s(literal 1/12 binary64)))
✓accuracy99.5%
(/.f64 (log.f64 (/.f64 (+.f64 (*.f64 (*.f64 f f) (*.f64 (PI.f64) #s(literal 1/12 binary64))) (/.f64 #s(literal 4 binary64) (PI.f64))) f)) (/.f64 (PI.f64) #s(literal -4 binary64)))
✓accuracy99.4%
(/.f64 (+.f64 (*.f64 (*.f64 f f) (*.f64 (PI.f64) #s(literal 1/12 binary64))) (/.f64 #s(literal 4 binary64) (PI.f64))) f)
✓accuracy98.4%
(*.f64 (PI.f64) #s(literal 1/12 binary64))
✓accuracy100.0%
(/.f64 (*.f64 (PI.f64) f) #s(literal 4 binary64))
✓accuracy100.0%
(log.f64 (/.f64 (*.f64 (PI.f64) f) #s(literal 4 binary64)))
✓accuracy99.6%
(*.f64 (PI.f64) f)
✓accuracy99.3%
(*.f64 (log.f64 (/.f64 (*.f64 (PI.f64) f) #s(literal 4 binary64))) (/.f64 #s(literal 4 binary64) (PI.f64)))
✓accuracy99.6%
(*.f64 (PI.f64) (*.f64 f #s(literal -1/2 binary64)))
✓accuracy99.5%
(/.f64 (log.f64 (+.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 (*.f64 (PI.f64) f) #s(literal 2 binary64)))) (/.f64 #s(literal -1 binary64) (expm1.f64 (*.f64 (PI.f64) (*.f64 f #s(literal -1/2 binary64))))))) (PI.f64))
✓accuracy99.5%
(/.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 (*.f64 (PI.f64) f) #s(literal 2 binary64))))
✓accuracy99.5%
(/.f64 #s(literal -1 binary64) (expm1.f64 (*.f64 (PI.f64) (*.f64 f #s(literal -1/2 binary64)))))
Samples
136.0ms251×0valid
9.0ms5×2valid
Compiler

Compiled 434 to 53 computations (87.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 117.0ms
ival-div: 58.0ms (49.8% of total)
ival-log: 24.0ms (20.6% of total)
ival-mult: 18.0ms (15.4% of total)
const: 4.0ms (3.4% of total)
ival-expm1: 3.0ms (2.6% of total)
ival-add: 3.0ms (2.6% of total)
ival-sub: 2.0ms (1.7% of total)
ival-pi: 1.0ms (0.9% of total)
exact: 1.0ms (0.9% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series182.0ms (0.9%)

Memory
-10.4MiB live, 262.7MiB allocated
Counts
28 → 288
Calls
Call 1
Inputs
#<alt (/ (/ (log (+ (/ 1 (- (exp (/ (* (PI) f) 2)) 1)) (/ -1 (- (exp (* (PI) (* f -1/2))) 1)))) (PI)) -1/4)>
#<alt (/ (log (+ (/ 1 (- (exp (/ (* (PI) f) 2)) 1)) (/ -1 (- (exp (* (PI) (* f -1/2))) 1)))) (PI))>
#<alt (log (+ (/ 1 (- (exp (/ (* (PI) f) 2)) 1)) (/ -1 (- (exp (* (PI) (* f -1/2))) 1))))>
#<alt (+ (/ 1 (- (exp (/ (* (PI) f) 2)) 1)) (/ -1 (- (exp (* (PI) (* f -1/2))) 1)))>
#<alt (* (log (/ (* (PI) f) 4)) (/ 4 (PI)))>
#<alt (log (/ (* (PI) f) 4))>
#<alt (/ (* (PI) f) 4)>
#<alt (* (PI) f)>
#<alt (/ (log (/ (+ (* (* f f) (* (PI) 1/12)) (/ 4 (PI))) f)) (/ (PI) -4))>
#<alt (log (/ (+ (* (* f f) (* (PI) 1/12)) (/ 4 (PI))) f))>
#<alt (/ (+ (* (* f f) (* (PI) 1/12)) (/ 4 (PI))) f)>
#<alt (+ (* (* f f) (* (PI) 1/12)) (/ 4 (PI)))>
#<alt (/ (- (log (/ 4 f)) (log (PI))) (/ (PI) -4))>
#<alt (- (log (/ 4 f)) (log (PI)))>
#<alt (log (/ 4 f))>
#<alt (/ 4 f)>
#<alt (/ 1 (/ 1 (- (+ (log (/ 4 (PI))) (* 1/4 (* (* (* (PI) (* (PI) 1/12)) f) f))) (log f))))>
#<alt (/ (/ 1 (/ 1 (- (+ (log (/ 4 (PI))) (* 1/4 (* (* (* (PI) (* (PI) 1/12)) f) f))) (log f)))) (/ (PI) -4))>
#<alt (* 1/4 (* (* (* (PI) (* (PI) 1/12)) f) f))>
#<alt (/ 1 (- (+ (log (/ 4 (PI))) (* 1/4 (* (* (* (PI) (* (PI) 1/12)) f) f))) (log f)))>
#<alt (/ -1 (- (exp (* (PI) (* f -1/2))) 1))>
#<alt (/ 1 (- (exp (/ (* (PI) f) 2)) 1))>
#<alt (* (PI) (* f -1/2))>
#<alt (* (PI) 1/12)>
#<alt (* (* f f) (* (PI) 1/12))>
#<alt (PI)>
#<alt (log (/ 4 (PI)))>
#<alt (* (PI) (* (PI) 1/12))>
Outputs
#<alt (* -4 (/ (+ (log (/ 4 (PI))) (* -1 (log f))) (PI)))>
#<alt (+ (* -4 (/ (+ (log (/ 4 (PI))) (* -1 (log f))) (PI))) (* -1 (* (pow f 2) (- (+ (* -1/12 (PI)) (* 1/8 (PI))) (+ (* -1/8 (PI)) (* 1/12 (PI)))))))>
#<alt (+ (* -4 (/ (+ (log (/ 4 (PI))) (* -1 (log f))) (PI))) (* (pow f 2) (+ (* -1 (* f (- (* 1/4 (* (PI) (+ (* -1/12 (PI)) (* 1/8 (PI))))) (* -1/4 (* (PI) (+ (* -1/8 (PI)) (* 1/12 (PI)))))))) (* -1 (- (+ (* -1/12 (PI)) (* 1/8 (PI))) (+ (* -1/8 (PI)) (* 1/12 (PI))))))))>
#<alt (+ (* -4 (/ (+ (log (/ 4 (PI))) (* -1 (log f))) (PI))) (* (pow f 2) (+ (* -1 (- (+ (* -1/12 (PI)) (* 1/8 (PI))) (+ (* -1/8 (PI)) (* 1/12 (PI))))) (* f (+ (* -1 (- (* 1/4 (* (PI) (+ (* -1/12 (PI)) (* 1/8 (PI))))) (* -1/4 (* (PI) (+ (* -1/8 (PI)) (* 1/12 (PI))))))) (* -1/6 (/ (* f (+ (* -3/4 (* (pow (PI) 2) (pow (- (+ (* -1/12 (PI)) (* 1/8 (PI))) (+ (* -1/8 (PI)) (* 1/12 (PI)))) 2))) (* 6 (* (PI) (- (+ (* -1/24 (* (pow (PI) 2) (+ (* -1/12 (PI)) (* 1/8 (PI))))) (+ (* -1/960 (pow (PI) 3)) (+ (* 1/384 (pow (PI) 3)) (* 1/4 (* (PI) (+ (* -1/48 (pow (PI) 2)) (+ (* 1/96 (pow (PI) 2)) (* 1/4 (* (PI) (+ (* -1/12 (PI)) (* 1/8 (PI)))))))))))) (+ (* -1/4 (* (PI) (+ (* -1/4 (* (PI) (+ (* -1/8 (PI)) (* 1/12 (PI))))) (+ (* -1/48 (pow (PI) 2)) (* 1/96 (pow (PI) 2)))))) (+ (* -1/24 (* (pow (PI) 2) (+ (* -1/8 (PI)) (* 1/12 (PI))))) (+ (* -1/384 (pow (PI) 3)) (* 1/960 (pow (PI) 3)))))))))) (PI))))))))>
#<alt (* -4 (/ (log (- (/ 1 (- (exp (* 1/2 (* f (PI)))) 1)) (/ 1 (- (exp (* -1/2 (* f (PI)))) 1)))) (PI)))>
#<alt (* -4 (/ (log (- (/ 1 (- (exp (* 1/2 (* f (PI)))) 1)) (/ 1 (- (exp (* -1/2 (* f (PI)))) 1)))) (PI)))>
#<alt (* -4 (/ (log (- (/ 1 (- (exp (* 1/2 (* f (PI)))) 1)) (/ 1 (- (exp (* -1/2 (* f (PI)))) 1)))) (PI)))>
#<alt (* -4 (/ (log (- (/ 1 (- (exp (* 1/2 (* f (PI)))) 1)) (/ 1 (- (exp (* -1/2 (* f (PI)))) 1)))) (PI)))>
#<alt (* -4 (/ (log (- (/ 1 (- (exp (* 1/2 (* f (PI)))) 1)) (/ 1 (- (exp (* -1/2 (* f (PI)))) 1)))) (PI)))>
#<alt (* -4 (/ (log (- (/ 1 (- (exp (* 1/2 (* f (PI)))) 1)) (/ 1 (- (exp (* -1/2 (* f (PI)))) 1)))) (PI)))>
#<alt (* -4 (/ (log (- (/ 1 (- (exp (* 1/2 (* f (PI)))) 1)) (/ 1 (- (exp (* -1/2 (* f (PI)))) 1)))) (PI)))>
#<alt (* -4 (/ (log (- (/ 1 (- (exp (* 1/2 (* f (PI)))) 1)) (/ 1 (- (exp (* -1/2 (* f (PI)))) 1)))) (PI)))>
#<alt (/ (+ (log (/ 4 (PI))) (* -1 (log f))) (PI))>
#<alt (+ (* -1 (/ (log f) (PI))) (+ (* 1/4 (* (pow f 2) (- (+ (* -1/12 (PI)) (* 1/8 (PI))) (+ (* -1/8 (PI)) (* 1/12 (PI)))))) (/ (log (/ 4 (PI))) (PI))))>
#<alt (+ (* -1 (/ (log f) (PI))) (+ (* (pow f 2) (+ (* 1/4 (* f (- (* 1/4 (* (PI) (+ (* -1/12 (PI)) (* 1/8 (PI))))) (* -1/4 (* (PI) (+ (* -1/8 (PI)) (* 1/12 (PI)))))))) (* 1/4 (- (+ (* -1/12 (PI)) (* 1/8 (PI))) (+ (* -1/8 (PI)) (* 1/12 (PI))))))) (/ (log (/ 4 (PI))) (PI))))>
#<alt (+ (* -1 (/ (log f) (PI))) (+ (* (pow f 2) (+ (* 1/4 (- (+ (* -1/12 (PI)) (* 1/8 (PI))) (+ (* -1/8 (PI)) (* 1/12 (PI))))) (* f (+ (* 1/24 (/ (* f (+ (* -3/4 (* (pow (PI) 2) (pow (- (+ (* -1/12 (PI)) (* 1/8 (PI))) (+ (* -1/8 (PI)) (* 1/12 (PI)))) 2))) (* 6 (* (PI) (- (+ (* -1/24 (* (pow (PI) 2) (+ (* -1/12 (PI)) (* 1/8 (PI))))) (+ (* -1/960 (pow (PI) 3)) (+ (* 1/384 (pow (PI) 3)) (* 1/4 (* (PI) (+ (* -1/48 (pow (PI) 2)) (+ (* 1/96 (pow (PI) 2)) (* 1/4 (* (PI) (+ (* -1/12 (PI)) (* 1/8 (PI)))))))))))) (+ (* -1/4 (* (PI) (+ (* -1/4 (* (PI) (+ (* -1/8 (PI)) (* 1/12 (PI))))) (+ (* -1/48 (pow (PI) 2)) (* 1/96 (pow (PI) 2)))))) (+ (* -1/24 (* (pow (PI) 2) (+ (* -1/8 (PI)) (* 1/12 (PI))))) (+ (* -1/384 (pow (PI) 3)) (* 1/960 (pow (PI) 3)))))))))) (PI))) (* 1/4 (- (* 1/4 (* (PI) (+ (* -1/12 (PI)) (* 1/8 (PI))))) (* -1/4 (* (PI) (+ (* -1/8 (PI)) (* 1/12 (PI))))))))))) (/ (log (/ 4 (PI))) (PI))))>
#<alt (/ (log (- (/ 1 (- (exp (* 1/2 (* f (PI)))) 1)) (/ 1 (- (exp (* -1/2 (* f (PI)))) 1)))) (PI))>
#<alt (/ (log (- (/ 1 (- (exp (* 1/2 (* f (PI)))) 1)) (/ 1 (- (exp (* -1/2 (* f (PI)))) 1)))) (PI))>
#<alt (/ (log (- (/ 1 (- (exp (* 1/2 (* f (PI)))) 1)) (/ 1 (- (exp (* -1/2 (* f (PI)))) 1)))) (PI))>
#<alt (/ (log (- (/ 1 (- (exp (* 1/2 (* f (PI)))) 1)) (/ 1 (- (exp (* -1/2 (* f (PI)))) 1)))) (PI))>
#<alt (/ (log (- (/ 1 (- (exp (* 1/2 (* f (PI)))) 1)) (/ 1 (- (exp (* -1/2 (* f (PI)))) 1)))) (PI))>
#<alt (/ (log (- (/ 1 (- (exp (* 1/2 (* f (PI)))) 1)) (/ 1 (- (exp (* -1/2 (* f (PI)))) 1)))) (PI))>
#<alt (/ (log (- (/ 1 (- (exp (* 1/2 (* f (PI)))) 1)) (/ 1 (- (exp (* -1/2 (* f (PI)))) 1)))) (PI))>
#<alt (/ (log (- (/ 1 (- (exp (* 1/2 (* f (PI)))) 1)) (/ 1 (- (exp (* -1/2 (* f (PI)))) 1)))) (PI))>
#<alt (+ (log (/ 4 (PI))) (* -1 (log f)))>
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#<alt (/ (+ (* 1/2 f) (* 2 (/ 1 (PI)))) f)>
#<alt (/ (+ (* f (+ 1/2 (* -1 (* f (+ (* -1/8 (PI)) (* 1/12 (PI))))))) (* 2 (/ 1 (PI)))) f)>
#<alt (/ (+ (* f (+ 1/2 (* f (- (* -1 (* f (+ (* -1/96 (pow (PI) 2)) (+ (* 1/48 (pow (PI) 2)) (* 1/4 (* (PI) (+ (* -1/8 (PI)) (* 1/12 (PI))))))))) (+ (* -1/8 (PI)) (* 1/12 (PI))))))) (* 2 (/ 1 (PI)))) f)>
#<alt (/ -1 (- (exp (* -1/2 (* f (PI)))) 1))>
#<alt (/ -1 (- (exp (* -1/2 (* f (PI)))) 1))>
#<alt (/ -1 (- (exp (* -1/2 (* f (PI)))) 1))>
#<alt (/ -1 (- (exp (* -1/2 (* f (PI)))) 1))>
#<alt (/ -1 (- (exp (* -1/2 (* f (PI)))) 1))>
#<alt (/ -1 (- (exp (* -1/2 (* f (PI)))) 1))>
#<alt (/ -1 (- (exp (* -1/2 (* f (PI)))) 1))>
#<alt (/ -1 (- (exp (* -1/2 (* f (PI)))) 1))>
#<alt (/ 2 (* f (PI)))>
#<alt (/ (+ (* -1/2 f) (* 2 (/ 1 (PI)))) f)>
#<alt (/ (+ (* f (- (* -1 (* f (+ (* -1/8 (PI)) (* 1/12 (PI))))) 1/2)) (* 2 (/ 1 (PI)))) f)>
#<alt (/ (+ (* f (- (* f (- (* -1 (* f (+ (* -1/4 (* (PI) (+ (* -1/8 (PI)) (* 1/12 (PI))))) (+ (* -1/48 (pow (PI) 2)) (* 1/96 (pow (PI) 2)))))) (+ (* -1/8 (PI)) (* 1/12 (PI))))) 1/2)) (* 2 (/ 1 (PI)))) f)>
#<alt (/ 1 (- (exp (* 1/2 (* f (PI)))) 1))>
#<alt (/ 1 (- (exp (* 1/2 (* f (PI)))) 1))>
#<alt (/ 1 (- (exp (* 1/2 (* f (PI)))) 1))>
#<alt (/ 1 (- (exp (* 1/2 (* f (PI)))) 1))>
#<alt (/ 1 (- (exp (* 1/2 (* f (PI)))) 1))>
#<alt (/ 1 (- (exp (* 1/2 (* f (PI)))) 1))>
#<alt (/ 1 (- (exp (* 1/2 (* f (PI)))) 1))>
#<alt (/ 1 (- (exp (* 1/2 (* f (PI)))) 1))>
#<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 (* 1/12 (* (pow f 2) (PI)))>
#<alt (* 1/12 (* (pow f 2) (PI)))>
#<alt (* 1/12 (* (pow f 2) (PI)))>
#<alt (* 1/12 (* (pow f 2) (PI)))>
#<alt (* 1/12 (* (pow f 2) (PI)))>
#<alt (* 1/12 (* (pow f 2) (PI)))>
#<alt (* 1/12 (* (pow f 2) (PI)))>
#<alt (* 1/12 (* (pow f 2) (PI)))>
#<alt (* 1/12 (* (pow f 2) (PI)))>
#<alt (* 1/12 (* (pow f 2) (PI)))>
#<alt (* 1/12 (* (pow f 2) (PI)))>
#<alt (* 1/12 (* (pow f 2) (PI)))>
Calls

72 calls:

TimeVariablePointExpression
58.0ms
f
@-inf
(/ (- (log (/ 4 f)) (log (PI))) (/ (PI) -4))
28.0ms
f
@0
(/ (- (log (/ 4 f)) (log (PI))) (/ (PI) -4))
24.0ms
f
@0
(/ 1 (/ 1 (- (+ (log (/ 4 (PI))) (* 1/4 (* (* (* (PI) (* (PI) 1/12)) f) f))) (log f))))
18.0ms
f
@-inf
(* (log (/ (* (PI) f) 4)) (/ 4 (PI)))
18.0ms
f
@0
(* (log (/ (* (PI) f) 4)) (/ 4 (PI)))

rewrite800.0ms (3.8%)

Memory
-103.2MiB live, 441.7MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
5 126×*-lowering-*.f32
5 126×*-lowering-*.f64
3 434×accelerator-lowering-fma.f32
3 434×accelerator-lowering-fma.f64
2 980×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
053310
1318310
22720307
08102285
Stop Event
1×iter limit
1×node limit
Counts
28 → 805
Calls
Call 1
Inputs
(/ (/ (log (+ (/ 1 (- (exp (/ (* (PI) f) 2)) 1)) (/ -1 (- (exp (* (PI) (* f -1/2))) 1)))) (PI)) -1/4)
(/ (log (+ (/ 1 (- (exp (/ (* (PI) f) 2)) 1)) (/ -1 (- (exp (* (PI) (* f -1/2))) 1)))) (PI))
(log (+ (/ 1 (- (exp (/ (* (PI) f) 2)) 1)) (/ -1 (- (exp (* (PI) (* f -1/2))) 1))))
(+ (/ 1 (- (exp (/ (* (PI) f) 2)) 1)) (/ -1 (- (exp (* (PI) (* f -1/2))) 1)))
(* (log (/ (* (PI) f) 4)) (/ 4 (PI)))
(log (/ (* (PI) f) 4))
(/ (* (PI) f) 4)
(* (PI) f)
(/ (log (/ (+ (* (* f f) (* (PI) 1/12)) (/ 4 (PI))) f)) (/ (PI) -4))
(log (/ (+ (* (* f f) (* (PI) 1/12)) (/ 4 (PI))) f))
(/ (+ (* (* f f) (* (PI) 1/12)) (/ 4 (PI))) f)
(+ (* (* f f) (* (PI) 1/12)) (/ 4 (PI)))
(/ (- (log (/ 4 f)) (log (PI))) (/ (PI) -4))
(- (log (/ 4 f)) (log (PI)))
(log (/ 4 f))
(/ 4 f)
(/ 1 (/ 1 (- (+ (log (/ 4 (PI))) (* 1/4 (* (* (* (PI) (* (PI) 1/12)) f) f))) (log f))))
(/ (/ 1 (/ 1 (- (+ (log (/ 4 (PI))) (* 1/4 (* (* (* (PI) (* (PI) 1/12)) f) f))) (log f)))) (/ (PI) -4))
(* 1/4 (* (* (* (PI) (* (PI) 1/12)) f) f))
(/ 1 (- (+ (log (/ 4 (PI))) (* 1/4 (* (* (* (PI) (* (PI) 1/12)) f) f))) (log f)))
(/ -1 (- (exp (* (PI) (* f -1/2))) 1))
(/ 1 (- (exp (/ (* (PI) f) 2)) 1))
(* (PI) (* f -1/2))
(* (PI) 1/12)
(* (* f f) (* (PI) 1/12))
(PI)
(log (/ 4 (PI)))
(* (PI) (* (PI) 1/12))
Outputs
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal -1/4 binary64) (/.f64 (log.f64 (+.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 (*.f64 (PI.f64) f) #s(literal 2 binary64)))) (/.f64 #s(literal -1 binary64) (expm1.f64 (*.f64 (PI.f64) (*.f64 f #s(literal -1/2 binary64))))))) (PI.f64)))) #s(literal -1 binary64)))
(neg.f64 (/.f64 (/.f64 (log.f64 (+.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 (*.f64 (PI.f64) f) #s(literal 2 binary64)))) (/.f64 #s(literal -1 binary64) (expm1.f64 (*.f64 (PI.f64) (*.f64 f #s(literal -1/2 binary64))))))) (PI.f64)) #s(literal 1/4 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/4 binary64) (/.f64 (log.f64 (+.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 (*.f64 (PI.f64) f) #s(literal 2 binary64)))) (/.f64 #s(literal -1 binary64) (expm1.f64 (*.f64 (PI.f64) (*.f64 f #s(literal -1/2 binary64))))))) (PI.f64))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1/4 binary64) (/.f64 (log.f64 (+.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 (*.f64 (PI.f64) f) #s(literal 2 binary64)))) (/.f64 #s(literal -1 binary64) (expm1.f64 (*.f64 (PI.f64) (*.f64 f #s(literal -1/2 binary64))))))) (PI.f64))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (PI.f64) #s(literal -4 binary64)) (log.f64 (+.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 (*.f64 (PI.f64) f) #s(literal 2 binary64)))) (/.f64 #s(literal -1 binary64) (expm1.f64 (*.f64 (PI.f64) (*.f64 f #s(literal -1/2 binary64)))))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal -1/4 binary64) (/.f64 (log.f64 (+.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 (*.f64 (PI.f64) f) #s(literal 2 binary64)))) (/.f64 #s(literal -1 binary64) (expm1.f64 (*.f64 (PI.f64) (*.f64 f #s(literal -1/2 binary64))))))) (PI.f64)))))
(/.f64 (log.f64 (+.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 (*.f64 (PI.f64) f) #s(literal 2 binary64)))) (/.f64 #s(literal -1 binary64) (expm1.f64 (*.f64 (PI.f64) (*.f64 f #s(literal -1/2 binary64))))))) (/.f64 (PI.f64) #s(literal -4 binary64)))
(/.f64 (/.f64 (log.f64 (+.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 (*.f64 (PI.f64) f) #s(literal 2 binary64)))) (/.f64 #s(literal -1 binary64) (expm1.f64 (*.f64 (PI.f64) (*.f64 f #s(literal -1/2 binary64))))))) (PI.f64)) #s(literal -1/4 binary64))
(/.f64 #s(literal -4 binary64) (/.f64 (PI.f64) (log.f64 (+.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 (*.f64 (PI.f64) f) #s(literal 2 binary64)))) (/.f64 #s(literal -1 binary64) (expm1.f64 (*.f64 (PI.f64) (*.f64 f #s(literal -1/2 binary64)))))))))
(/.f64 (/.f64 (log.f64 (+.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 (*.f64 (PI.f64) f) #s(literal 2 binary64)))) (/.f64 #s(literal -1 binary64) (expm1.f64 (*.f64 (PI.f64) (*.f64 f #s(literal -1/2 binary64))))))) (-.f64 #s(literal 0 binary64) (PI.f64))) #s(literal 1/4 binary64))
(/.f64 (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 (*.f64 (PI.f64) f) #s(literal 2 binary64)))) (/.f64 #s(literal -1 binary64) (expm1.f64 (*.f64 (PI.f64) (*.f64 f #s(literal -1/2 binary64)))))))) (/.f64 (PI.f64) #s(literal 4 binary64)))
(/.f64 (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 (*.f64 (PI.f64) f) #s(literal 2 binary64)))) (/.f64 #s(literal -1 binary64) (expm1.f64 (*.f64 (PI.f64) (*.f64 f #s(literal -1/2 binary64)))))))) (*.f64 #s(literal -1/4 binary64) (-.f64 #s(literal 0 binary64) (PI.f64))))
(/.f64 (*.f64 (log.f64 (+.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 (*.f64 (PI.f64) f) #s(literal 2 binary64)))) (/.f64 #s(literal -1 binary64) (expm1.f64 (*.f64 (PI.f64) (*.f64 f #s(literal -1/2 binary64))))))) #s(literal -4 binary64)) (PI.f64))
(/.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 (*.f64 (PI.f64) f) #s(literal 2 binary64)))) (/.f64 #s(literal -1 binary64) (expm1.f64 (*.f64 (PI.f64) (*.f64 f #s(literal -1/2 binary64)))))))) #s(literal -4 binary64)) (-.f64 #s(literal 0 binary64) (PI.f64)))
(/.f64 (/.f64 (log.f64 (+.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 (*.f64 (PI.f64) f) #s(literal 2 binary64)))) (/.f64 #s(literal -1 binary64) (expm1.f64 (*.f64 (PI.f64) (*.f64 f #s(literal -1/2 binary64))))))) #s(literal -1/4 binary64)) (PI.f64))
(pow.f64 (/.f64 #s(literal -1/4 binary64) (/.f64 (log.f64 (+.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 (*.f64 (PI.f64) f) #s(literal 2 binary64)))) (/.f64 #s(literal -1 binary64) (expm1.f64 (*.f64 (PI.f64) (*.f64 f #s(literal -1/2 binary64))))))) (PI.f64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 #s(literal -1/4 binary64) (/.f64 (log.f64 (+.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 (*.f64 (PI.f64) f) #s(literal 2 binary64)))) (/.f64 #s(literal -1 binary64) (expm1.f64 (*.f64 (PI.f64) (*.f64 f #s(literal -1/2 binary64))))))) (PI.f64))) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 (PI.f64) #s(literal -4 binary64)) (log.f64 (+.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 (*.f64 (PI.f64) f) #s(literal 2 binary64)))) (/.f64 #s(literal -1 binary64) (expm1.f64 (*.f64 (PI.f64) (*.f64 f #s(literal -1/2 binary64)))))))) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 (log.f64 (+.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 (*.f64 (PI.f64) f) #s(literal 2 binary64)))) (/.f64 #s(literal -1 binary64) (expm1.f64 (*.f64 (PI.f64) (*.f64 f #s(literal -1/2 binary64))))))) (/.f64 (PI.f64) #s(literal -4 binary64))))
(*.f64 (log.f64 (+.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 (*.f64 (PI.f64) f) #s(literal 2 binary64)))) (/.f64 #s(literal -1 binary64) (expm1.f64 (*.f64 (PI.f64) (*.f64 f #s(literal -1/2 binary64))))))) (/.f64 #s(literal -4 binary64) (PI.f64)))
(*.f64 (/.f64 (log.f64 (+.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 (*.f64 (PI.f64) f) #s(literal 2 binary64)))) (/.f64 #s(literal -1 binary64) (expm1.f64 (*.f64 (PI.f64) (*.f64 f #s(literal -1/2 binary64))))))) (PI.f64)) #s(literal -4 binary64))
(*.f64 #s(literal -4 binary64) (/.f64 (log.f64 (+.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 (*.f64 (PI.f64) f) #s(literal 2 binary64)))) (/.f64 #s(literal -1 binary64) (expm1.f64 (*.f64 (PI.f64) (*.f64 f #s(literal -1/2 binary64))))))) (PI.f64)))
(*.f64 (/.f64 (log.f64 (+.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 (*.f64 (PI.f64) f) #s(literal 2 binary64)))) (/.f64 #s(literal -1 binary64) (expm1.f64 (*.f64 (PI.f64) (*.f64 f #s(literal -1/2 binary64))))))) (-.f64 #s(literal 0 binary64) (PI.f64))) #s(literal 4 binary64))
(*.f64 (pow.f64 (/.f64 #s(literal -1/4 binary64) (log.f64 (+.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 (*.f64 (PI.f64) f) #s(literal 2 binary64)))) (/.f64 #s(literal -1 binary64) (expm1.f64 (*.f64 (PI.f64) (*.f64 f #s(literal -1/2 binary64)))))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (PI.f64)))
(*.f64 (pow.f64 (/.f64 #s(literal -1/4 binary64) (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 (*.f64 (PI.f64) f) #s(literal 2 binary64)))) (/.f64 #s(literal -1 binary64) (expm1.f64 (*.f64 (PI.f64) (*.f64 f #s(literal -1/2 binary64))))))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (PI.f64))))
(exp.f64 (*.f64 (log.f64 (/.f64 (PI.f64) (log.f64 (+.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 (*.f64 (PI.f64) f) #s(literal 2 binary64)))) (/.f64 #s(literal -1 binary64) (expm1.f64 (*.f64 (PI.f64) (*.f64 f #s(literal -1/2 binary64))))))))) #s(literal -1 binary64)))
(neg.f64 (/.f64 (log.f64 (+.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 (*.f64 (PI.f64) f) #s(literal 2 binary64)))) (/.f64 #s(literal -1 binary64) (expm1.f64 (*.f64 (PI.f64) (*.f64 f #s(literal -1/2 binary64))))))) (-.f64 #s(literal 0 binary64) (PI.f64))))
(/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) (log.f64 (+.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 (*.f64 (PI.f64) f) #s(literal 2 binary64)))) (/.f64 #s(literal -1 binary64) (expm1.f64 (*.f64 (PI.f64) (*.f64 f #s(literal -1/2 binary64)))))))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (PI.f64) (log.f64 (+.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 (*.f64 (PI.f64) f) #s(literal 2 binary64)))) (/.f64 #s(literal -1 binary64) (expm1.f64 (*.f64 (PI.f64) (*.f64 f #s(literal -1/2 binary64)))))))) #s(literal 1 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (PI.f64) (log.f64 (+.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 (*.f64 (PI.f64) f) #s(literal 2 binary64)))) (/.f64 #s(literal -1 binary64) (expm1.f64 (*.f64 (PI.f64) (*.f64 f #s(literal -1/2 binary64))))))))))
(/.f64 (log.f64 (+.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 (*.f64 (PI.f64) f) #s(literal 2 binary64)))) (/.f64 #s(literal -1 binary64) (expm1.f64 (*.f64 (PI.f64) (*.f64 f #s(literal -1/2 binary64))))))) (PI.f64))
(/.f64 (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 (*.f64 (PI.f64) f) #s(literal 2 binary64)))) (/.f64 #s(literal -1 binary64) (expm1.f64 (*.f64 (PI.f64) (*.f64 f #s(literal -1/2 binary64)))))))) (-.f64 #s(literal 0 binary64) (PI.f64)))
(/.f64 (log.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 (*.f64 (PI.f64) f) #s(literal 2 binary64)))) (/.f64 #s(literal -1 binary64) (expm1.f64 (*.f64 (PI.f64) (*.f64 f #s(literal -1/2 binary64))))))))) (neg.f64 (-.f64 #s(literal 0 binary64) (PI.f64))))
(/.f64 (*.f64 (log.f64 (+.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 (*.f64 (PI.f64) f) #s(literal 2 binary64)))) (/.f64 #s(literal -1 binary64) (expm1.f64 (*.f64 (PI.f64) (*.f64 f #s(literal -1/2 binary64))))))) #s(literal 1 binary64)) (PI.f64))
(/.f64 (/.f64 (log.f64 (+.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 (*.f64 (PI.f64) f) #s(literal 2 binary64)))) (/.f64 #s(literal -1 binary64) (expm1.f64 (*.f64 (PI.f64) (*.f64 f #s(literal -1/2 binary64))))))) #s(literal 1 binary64)) (PI.f64))
(/.f64 (/.f64 (log.f64 (+.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 (*.f64 (PI.f64) f) #s(literal 2 binary64)))) (/.f64 #s(literal -1 binary64) (expm1.f64 (*.f64 (PI.f64) (*.f64 f #s(literal -1/2 binary64))))))) (pow.f64 (PI.f64) #s(literal 2/3 binary64))) (cbrt.f64 (PI.f64)))
(/.f64 (/.f64 (log.f64 (+.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 (*.f64 (PI.f64) f) #s(literal 2 binary64)))) (/.f64 #s(literal -1 binary64) (expm1.f64 (*.f64 (PI.f64) (*.f64 f #s(literal -1/2 binary64))))))) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)))
(pow.f64 (/.f64 (PI.f64) (log.f64 (+.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 (*.f64 (PI.f64) f) #s(literal 2 binary64)))) (/.f64 #s(literal -1 binary64) (expm1.f64 (*.f64 (PI.f64) (*.f64 f #s(literal -1/2 binary64)))))))) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 (PI.f64) (log.f64 (+.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 (*.f64 (PI.f64) f) #s(literal 2 binary64)))) (/.f64 #s(literal -1 binary64) (expm1.f64 (*.f64 (PI.f64) (*.f64 f #s(literal -1/2 binary64)))))))) #s(literal 1 binary64)) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 (log.f64 (+.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 (*.f64 (PI.f64) f) #s(literal 2 binary64)))) (/.f64 #s(literal -1 binary64) (expm1.f64 (*.f64 (PI.f64) (*.f64 f #s(literal -1/2 binary64))))))) (PI.f64)))
(*.f64 (log.f64 (+.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 (*.f64 (PI.f64) f) #s(literal 2 binary64)))) (/.f64 #s(literal -1 binary64) (expm1.f64 (*.f64 (PI.f64) (*.f64 f #s(literal -1/2 binary64))))))) (/.f64 #s(literal 1 binary64) (PI.f64)))
(*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 (*.f64 (PI.f64) f) #s(literal 2 binary64)))) (/.f64 #s(literal -1 binary64) (expm1.f64 (*.f64 (PI.f64) (*.f64 f #s(literal -1/2 binary64)))))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (PI.f64))))
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(*.f64 (PI.f64) (*.f64 #s(literal 1/12 binary64) (*.f64 f f)))
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(*.f64 (*.f64 (*.f64 f f) #s(literal 1/12 binary64)) (PI.f64))
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(*.f64 (PI.f64) (log.f64 (E.f64)))
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(*.f64 (exp.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/3 binary64) (log.f64 (PI.f64))))) (exp.f64 (*.f64 #s(literal 1/3 binary64) (log.f64 (PI.f64)))))
(*.f64 (exp.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (PI.f64)))) (exp.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (PI.f64)))))
(*.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64))) (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64))))
(*.f64 (cbrt.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (pow.f64 (PI.f64) #s(literal 2/3 binary64)))) (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 1/3 binary64)))
(*.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 5/2 binary64))) (pow.f64 (sqrt.f64 (PI.f64)) #s(literal 1/3 binary64)))
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(*.f64 #s(literal 1/12 binary64) (*.f64 (PI.f64) (PI.f64)))
(*.f64 (*.f64 (PI.f64) #s(literal 1/12 binary64)) (PI.f64))
(*.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (*.f64 (cbrt.f64 (PI.f64)) (*.f64 (PI.f64) #s(literal 1/12 binary64))))
(*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/12 binary64))
(*.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) (*.f64 (PI.f64) #s(literal 1/12 binary64))))
(*.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/12 binary64)) #s(literal 1 binary64)) (PI.f64))
(*.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/12 binary64)) (pow.f64 (PI.f64) #s(literal 2/3 binary64))) (cbrt.f64 (PI.f64)))
(*.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/12 binary64)) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)))

simplify571.0ms (2.7%)

Memory
5.9MiB live, 844.8MiB allocated
Algorithm
1×egg-herbie
Rules
11 876×accelerator-lowering-fma.f32
11 876×accelerator-lowering-fma.f64
5 548×*-lowering-*.f32
5 548×*-lowering-*.f64
3 314×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04854781
114234482
250024367
084264107
Stop Event
1×iter limit
1×node limit
Counts
288 → 288
Calls
Call 1
Inputs
(* -4 (/ (+ (log (/ 4 (PI))) (* -1 (log f))) (PI)))
(+ (* -4 (/ (+ (log (/ 4 (PI))) (* -1 (log f))) (PI))) (* -1 (* (pow f 2) (- (+ (* -1/12 (PI)) (* 1/8 (PI))) (+ (* -1/8 (PI)) (* 1/12 (PI)))))))
(+ (* -4 (/ (+ (log (/ 4 (PI))) (* -1 (log f))) (PI))) (* (pow f 2) (+ (* -1 (* f (- (* 1/4 (* (PI) (+ (* -1/12 (PI)) (* 1/8 (PI))))) (* -1/4 (* (PI) (+ (* -1/8 (PI)) (* 1/12 (PI)))))))) (* -1 (- (+ (* -1/12 (PI)) (* 1/8 (PI))) (+ (* -1/8 (PI)) (* 1/12 (PI))))))))
(+ (* -4 (/ (+ (log (/ 4 (PI))) (* -1 (log f))) (PI))) (* (pow f 2) (+ (* -1 (- (+ (* -1/12 (PI)) (* 1/8 (PI))) (+ (* -1/8 (PI)) (* 1/12 (PI))))) (* f (+ (* -1 (- (* 1/4 (* (PI) (+ (* -1/12 (PI)) (* 1/8 (PI))))) (* -1/4 (* (PI) (+ (* -1/8 (PI)) (* 1/12 (PI))))))) (* -1/6 (/ (* f (+ (* -3/4 (* (pow (PI) 2) (pow (- (+ (* -1/12 (PI)) (* 1/8 (PI))) (+ (* -1/8 (PI)) (* 1/12 (PI)))) 2))) (* 6 (* (PI) (- (+ (* -1/24 (* (pow (PI) 2) (+ (* -1/12 (PI)) (* 1/8 (PI))))) (+ (* -1/960 (pow (PI) 3)) (+ (* 1/384 (pow (PI) 3)) (* 1/4 (* (PI) (+ (* -1/48 (pow (PI) 2)) (+ (* 1/96 (pow (PI) 2)) (* 1/4 (* (PI) (+ (* -1/12 (PI)) (* 1/8 (PI)))))))))))) (+ (* -1/4 (* (PI) (+ (* -1/4 (* (PI) (+ (* -1/8 (PI)) (* 1/12 (PI))))) (+ (* -1/48 (pow (PI) 2)) (* 1/96 (pow (PI) 2)))))) (+ (* -1/24 (* (pow (PI) 2) (+ (* -1/8 (PI)) (* 1/12 (PI))))) (+ (* -1/384 (pow (PI) 3)) (* 1/960 (pow (PI) 3)))))))))) (PI))))))))
(* -4 (/ (log (- (/ 1 (- (exp (* 1/2 (* f (PI)))) 1)) (/ 1 (- (exp (* -1/2 (* f (PI)))) 1)))) (PI)))
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(* -4 (/ (log (- (/ 1 (- (exp (* 1/2 (* f (PI)))) 1)) (/ 1 (- (exp (* -1/2 (* f (PI)))) 1)))) (PI)))
(* -4 (/ (log (- (/ 1 (- (exp (* 1/2 (* f (PI)))) 1)) (/ 1 (- (exp (* -1/2 (* f (PI)))) 1)))) (PI)))
(* -4 (/ (log (- (/ 1 (- (exp (* 1/2 (* f (PI)))) 1)) (/ 1 (- (exp (* -1/2 (* f (PI)))) 1)))) (PI)))
(* -4 (/ (log (- (/ 1 (- (exp (* 1/2 (* f (PI)))) 1)) (/ 1 (- (exp (* -1/2 (* f (PI)))) 1)))) (PI)))
(* -4 (/ (log (- (/ 1 (- (exp (* 1/2 (* f (PI)))) 1)) (/ 1 (- (exp (* -1/2 (* f (PI)))) 1)))) (PI)))
(* -4 (/ (log (- (/ 1 (- (exp (* 1/2 (* f (PI)))) 1)) (/ 1 (- (exp (* -1/2 (* f (PI)))) 1)))) (PI)))
(/ (+ (log (/ 4 (PI))) (* -1 (log f))) (PI))
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(/ (log (- (/ 1 (- (exp (* 1/2 (* f (PI)))) 1)) (/ 1 (- (exp (* -1/2 (* f (PI)))) 1)))) (PI))
(/ (log (- (/ 1 (- (exp (* 1/2 (* f (PI)))) 1)) (/ 1 (- (exp (* -1/2 (* f (PI)))) 1)))) (PI))
(/ (log (- (/ 1 (- (exp (* 1/2 (* f (PI)))) 1)) (/ 1 (- (exp (* -1/2 (* f (PI)))) 1)))) (PI))
(/ (log (- (/ 1 (- (exp (* 1/2 (* f (PI)))) 1)) (/ 1 (- (exp (* -1/2 (* f (PI)))) 1)))) (PI))
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(/ (log (- (/ 1 (- (exp (* 1/2 (* f (PI)))) 1)) (/ 1 (- (exp (* -1/2 (* f (PI)))) 1)))) (PI))
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(/ 4 (* f (PI)))
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(*.f64 (PI.f64) (*.f64 (*.f64 f f) #s(literal 1/12 binary64)))
(* 1/12 (* (pow f 2) (PI)))
(*.f64 (PI.f64) (*.f64 (*.f64 f f) #s(literal 1/12 binary64)))
(* 1/12 (* (pow f 2) (PI)))
(*.f64 (PI.f64) (*.f64 (*.f64 f f) #s(literal 1/12 binary64)))
(* 1/12 (* (pow f 2) (PI)))
(*.f64 (PI.f64) (*.f64 (*.f64 f f) #s(literal 1/12 binary64)))
(* 1/12 (* (pow f 2) (PI)))
(*.f64 (PI.f64) (*.f64 (*.f64 f f) #s(literal 1/12 binary64)))
(* 1/12 (* (pow f 2) (PI)))
(*.f64 (PI.f64) (*.f64 (*.f64 f f) #s(literal 1/12 binary64)))

eval333.0ms (1.6%)

Memory
49.8MiB live, 506.2MiB allocated
Compiler

Compiled 42 417 to 5 939 computations (86% saved)

prune183.0ms (0.9%)

Memory
-28.4MiB live, 460.8MiB allocated
Pruning

25 alts after pruning (22 fresh and 3 done)

PrunedKeptTotal
New1 615121 627
Fresh31013
Picked235
Done000
Total1 620251 645
Accuracy
100.0%
Counts
1 645 → 25
Alt Table
Click to see full alt table
StatusAccuracyProgram
98.6%
(/.f64 (/.f64 (log.f64 (+.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 (*.f64 (PI.f64) f) #s(literal 2 binary64)))) (/.f64 #s(literal -1 binary64) (expm1.f64 (*.f64 (PI.f64) (*.f64 f #s(literal -1/2 binary64))))))) (cbrt.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))))) #s(literal -1/4 binary64))
✓99.1%
(/.f64 (/.f64 (log.f64 (+.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 (*.f64 (PI.f64) f) #s(literal 2 binary64)))) (/.f64 #s(literal -1 binary64) (expm1.f64 (*.f64 (PI.f64) (*.f64 f #s(literal -1/2 binary64))))))) (PI.f64)) #s(literal -1/4 binary64))
96.3%
(/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (/.f64 #s(literal -1 binary64) (+.f64 (*.f64 (*.f64 #s(literal 1/12 binary64) (*.f64 (PI.f64) (PI.f64))) (*.f64 (*.f64 f f) #s(literal 1/4 binary64))) (log.f64 (/.f64 #s(literal 4 binary64) (*.f64 (PI.f64) f))))))
4.2%
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 48 binary64) (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 f f))))) (/.f64 (PI.f64) #s(literal -4 binary64)))
▶98.9%
(/.f64 (/.f64 #s(literal -4 binary64) (PI.f64)) (/.f64 #s(literal 1 binary64) (log.f64 (+.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 (*.f64 (PI.f64) f) #s(literal 2 binary64)))) (/.f64 #s(literal -1 binary64) (expm1.f64 (*.f64 (PI.f64) (*.f64 f #s(literal -1/2 binary64)))))))))
95.3%
(/.f64 (*.f64 (*.f64 (log.f64 (*.f64 (/.f64 #s(literal 4 binary64) f) (PI.f64))) (log.f64 (/.f64 #s(literal 4 binary64) (*.f64 (PI.f64) f)))) (/.f64 #s(literal -4 binary64) (PI.f64))) (log.f64 (*.f64 (/.f64 #s(literal 4 binary64) f) (PI.f64))))
96.4%
(/.f64 (*.f64 #s(literal 4 binary64) (log.f64 (/.f64 (*.f64 (PI.f64) f) #s(literal 4 binary64)))) (PI.f64))
4.2%
(/.f64 (*.f64 #s(literal 1/48 binary64) (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 f f)))) (/.f64 (PI.f64) #s(literal -4 binary64)))
▶32.7%
(/.f64 (*.f64 #s(literal -4 binary64) (log.f64 (/.f64 #s(literal -1 binary64) (expm1.f64 (*.f64 f (*.f64 #s(literal -1/2 binary64) (PI.f64))))))) (PI.f64))
96.5%
(/.f64 (log.f64 (/.f64 (/.f64 (-.f64 (/.f64 #s(literal 16 binary64) (*.f64 (PI.f64) (PI.f64))) (*.f64 (*.f64 (*.f64 (PI.f64) (*.f64 f f)) (*.f64 (PI.f64) (*.f64 f f))) #s(literal 1/144 binary64))) (-.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (*.f64 (PI.f64) (*.f64 #s(literal 1/12 binary64) (*.f64 f f))))) f)) (/.f64 (PI.f64) #s(literal -4 binary64)))
96.6%
(/.f64 (log.f64 (/.f64 (+.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (*.f64 (*.f64 f f) (+.f64 (*.f64 (cbrt.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) #s(literal 1/12 binary64)) (*.f64 f (*.f64 f (+.f64 (-.f64 (*.f64 (*.f64 (PI.f64) (+.f64 (*.f64 (*.f64 (PI.f64) #s(literal -1/24 binary64)) #s(literal -1/4 binary64)) (*.f64 (PI.f64) #s(literal -1/96 binary64)))) (*.f64 (PI.f64) #s(literal 1/4 binary64))) (*.f64 (*.f64 (PI.f64) (PI.f64)) (+.f64 (*.f64 (*.f64 (PI.f64) #s(literal -1/24 binary64)) #s(literal -1/24 binary64)) (*.f64 (PI.f64) #s(literal -1/640 binary64))))) (-.f64 (*.f64 (*.f64 (PI.f64) (+.f64 (*.f64 (*.f64 (PI.f64) #s(literal -1/24 binary64)) #s(literal -1/4 binary64)) (*.f64 (PI.f64) #s(literal -1/96 binary64)))) (*.f64 (PI.f64) #s(literal 1/4 binary64))) (*.f64 (*.f64 (PI.f64) (PI.f64)) (+.f64 (*.f64 (*.f64 (PI.f64) #s(literal -1/24 binary64)) #s(literal -1/24 binary64)) (*.f64 (PI.f64) #s(literal -1/640 binary64))))))))))) f)) (/.f64 (PI.f64) #s(literal -4 binary64)))
96.6%
(/.f64 (log.f64 (/.f64 (+.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (*.f64 (*.f64 f f) (+.f64 (*.f64 (PI.f64) #s(literal 1/12 binary64)) (*.f64 f (*.f64 f (*.f64 (*.f64 (PI.f64) (-.f64 (*.f64 (*.f64 (PI.f64) #s(literal 0 binary64)) (/.f64 (PI.f64) #s(literal 4 binary64))) (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/5760 binary64))))) #s(literal 2 binary64))))))) f)) (/.f64 (PI.f64) #s(literal -4 binary64)))
95.4%
(/.f64 (log.f64 (/.f64 (+.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (*.f64 f #s(literal 1/2 binary64))) f)) (/.f64 (PI.f64) #s(literal -4 binary64)))
✓96.5%
(/.f64 (log.f64 (/.f64 (+.f64 (*.f64 (*.f64 f f) (*.f64 (PI.f64) #s(literal 1/12 binary64))) (/.f64 #s(literal 4 binary64) (PI.f64))) f)) (/.f64 (PI.f64) #s(literal -4 binary64)))
95.5%
(/.f64 (log.f64 (/.f64 #s(literal 4 binary64) (*.f64 (PI.f64) f))) (/.f64 (cbrt.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) #s(literal -4 binary64)))
95.4%
(/.f64 (log.f64 (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 (PI.f64) f)) (/.f64 (+.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (*.f64 f #s(literal 1/2 binary64))) f))) (/.f64 (PI.f64) #s(literal -4 binary64)))
1.6%
(/.f64 (log.f64 (*.f64 (PI.f64) (*.f64 f #s(literal 1/12 binary64)))) (/.f64 (PI.f64) #s(literal -4 binary64)))
47.2%
(/.f64 (log.f64 (*.f64 f (+.f64 (*.f64 (PI.f64) #s(literal 1/12 binary64)) (/.f64 #s(literal 4 binary64) (*.f64 (PI.f64) (*.f64 f f)))))) (/.f64 (PI.f64) #s(literal -4 binary64)))
▶95.9%
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (PI.f64) #s(literal -4 binary64)) (log.f64 (/.f64 #s(literal 4 binary64) (*.f64 (PI.f64) f)))))
▶96.2%
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 (PI.f64) #s(literal -4 binary64)) (/.f64 #s(literal -1 binary64) (+.f64 (*.f64 (*.f64 #s(literal 1/12 binary64) (*.f64 (PI.f64) (PI.f64))) (*.f64 (*.f64 f f) #s(literal 1/4 binary64))) (log.f64 (/.f64 #s(literal 4 binary64) (*.f64 (PI.f64) f)))))))
96.3%
(-.f64 (/.f64 (log.f64 #s(literal 4 binary64)) (/.f64 (PI.f64) #s(literal -4 binary64))) (/.f64 (log.f64 (*.f64 (PI.f64) f)) (/.f64 (PI.f64) #s(literal -4 binary64))))
96.3%
(*.f64 (-.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (log.f64 f)) (/.f64 #s(literal -4 binary64) (PI.f64)))
96.3%
(*.f64 (+.f64 (log.f64 (/.f64 f #s(literal 4 binary64))) (log.f64 (PI.f64))) (/.f64 #s(literal 4 binary64) (PI.f64)))
✓96.3%
(*.f64 (log.f64 (/.f64 (*.f64 (PI.f64) f) #s(literal 4 binary64))) (/.f64 #s(literal 4 binary64) (PI.f64)))
▶4.2%
(*.f64 #s(literal -1/12 binary64) (*.f64 (PI.f64) (*.f64 f f)))
Compiler

Compiled 1 045 to 709 computations (32.2% saved)

simplify200.0ms (1%)

Memory
-9.4MiB live, 385.8MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(/.f64 #s(literal -1 binary64) (expm1.f64 (*.f64 f (*.f64 #s(literal -1/2 binary64) (PI.f64)))))
✓cost-diff0
(log.f64 (/.f64 #s(literal -1 binary64) (expm1.f64 (*.f64 f (*.f64 #s(literal -1/2 binary64) (PI.f64))))))
✓cost-diff0
(*.f64 #s(literal -4 binary64) (log.f64 (/.f64 #s(literal -1 binary64) (expm1.f64 (*.f64 f (*.f64 #s(literal -1/2 binary64) (PI.f64)))))))
✓cost-diff0
(/.f64 (*.f64 #s(literal -4 binary64) (log.f64 (/.f64 #s(literal -1 binary64) (expm1.f64 (*.f64 f (*.f64 #s(literal -1/2 binary64) (PI.f64))))))) (PI.f64))
✓cost-diff0
(/.f64 (PI.f64) #s(literal -4 binary64))
✓cost-diff128
(*.f64 (*.f64 #s(literal 1/12 binary64) (*.f64 (PI.f64) (PI.f64))) (*.f64 (*.f64 f f) #s(literal 1/4 binary64)))
✓cost-diff128
(*.f64 (/.f64 (PI.f64) #s(literal -4 binary64)) (/.f64 #s(literal -1 binary64) (+.f64 (*.f64 (*.f64 #s(literal 1/12 binary64) (*.f64 (PI.f64) (PI.f64))) (*.f64 (*.f64 f f) #s(literal 1/4 binary64))) (log.f64 (/.f64 #s(literal 4 binary64) (*.f64 (PI.f64) f))))))
✓cost-diff128
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 (PI.f64) #s(literal -4 binary64)) (/.f64 #s(literal -1 binary64) (+.f64 (*.f64 (*.f64 #s(literal 1/12 binary64) (*.f64 (PI.f64) (PI.f64))) (*.f64 (*.f64 f f) #s(literal 1/4 binary64))) (log.f64 (/.f64 #s(literal 4 binary64) (*.f64 (PI.f64) f)))))))
✓cost-diff0
(PI.f64)
✓cost-diff0
(/.f64 (PI.f64) #s(literal -4 binary64))
✓cost-diff0
(/.f64 (/.f64 (PI.f64) #s(literal -4 binary64)) (log.f64 (/.f64 #s(literal 4 binary64) (*.f64 (PI.f64) f))))
✓cost-diff128
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (PI.f64) #s(literal -4 binary64)) (log.f64 (/.f64 #s(literal 4 binary64) (*.f64 (PI.f64) f)))))
✓cost-diff0
(*.f64 f f)
✓cost-diff0
(PI.f64)
✓cost-diff0
(*.f64 (PI.f64) (*.f64 f f))
✓cost-diff0
(*.f64 #s(literal -1/12 binary64) (*.f64 (PI.f64) (*.f64 f f)))
✓cost-diff0
(/.f64 #s(literal 1 binary64) (log.f64 (+.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 (*.f64 (PI.f64) f) #s(literal 2 binary64)))) (/.f64 #s(literal -1 binary64) (expm1.f64 (*.f64 (PI.f64) (*.f64 f #s(literal -1/2 binary64))))))))
✓cost-diff0
(PI.f64)
✓cost-diff0
(/.f64 #s(literal -4 binary64) (PI.f64))
✓cost-diff128
(/.f64 (/.f64 #s(literal -4 binary64) (PI.f64)) (/.f64 #s(literal 1 binary64) (log.f64 (+.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 (*.f64 (PI.f64) f) #s(literal 2 binary64)))) (/.f64 #s(literal -1 binary64) (expm1.f64 (*.f64 (PI.f64) (*.f64 f #s(literal -1/2 binary64)))))))))
Rules
4 004×*-lowering-*.f32
4 004×*-lowering-*.f64
2 988×accelerator-lowering-fma.f32
2 988×accelerator-lowering-fma.f64
2 424×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
050422
1109420
2218402
3486402
41263402
53132402
66408402
08489370
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(/ (/ -4 (PI)) (/ 1 (log (+ (/ 1 (- (exp (/ (* (PI) f) 2)) 1)) (/ -1 (- (exp (* (PI) (* f -1/2))) 1))))))
(/ -4 (PI))
-4
(PI)
(/ 1 (log (+ (/ 1 (- (exp (/ (* (PI) f) 2)) 1)) (/ -1 (- (exp (* (PI) (* f -1/2))) 1)))))
1
(log (+ (/ 1 (- (exp (/ (* (PI) f) 2)) 1)) (/ -1 (- (exp (* (PI) (* f -1/2))) 1))))
(+ (/ 1 (- (exp (/ (* (PI) f) 2)) 1)) (/ -1 (- (exp (* (PI) (* f -1/2))) 1)))
(/ 1 (- (exp (/ (* (PI) f) 2)) 1))
(- (exp (/ (* (PI) f) 2)) 1)
(/ (* (PI) f) 2)
(* (PI) f)
f
2
(/ -1 (- (exp (* (PI) (* f -1/2))) 1))
-1
(- (exp (* (PI) (* f -1/2))) 1)
(* (PI) (* f -1/2))
(* f -1/2)
-1/2
(* -1/12 (* (PI) (* f f)))
-1/12
(* (PI) (* f f))
(PI)
(* f f)
f
(/ 1 (/ (/ (PI) -4) (log (/ 4 (* (PI) f)))))
1
(/ (/ (PI) -4) (log (/ 4 (* (PI) f))))
(/ (PI) -4)
(PI)
-4
(log (/ 4 (* (PI) f)))
(/ 4 (* (PI) f))
4
(* (PI) f)
f
(/ -1 (* (/ (PI) -4) (/ -1 (+ (* (* 1/12 (* (PI) (PI))) (* (* f f) 1/4)) (log (/ 4 (* (PI) f)))))))
-1
(* (/ (PI) -4) (/ -1 (+ (* (* 1/12 (* (PI) (PI))) (* (* f f) 1/4)) (log (/ 4 (* (PI) f))))))
(/ (PI) -4)
(PI)
-4
(/ -1 (+ (* (* 1/12 (* (PI) (PI))) (* (* f f) 1/4)) (log (/ 4 (* (PI) f)))))
(+ (* (* 1/12 (* (PI) (PI))) (* (* f f) 1/4)) (log (/ 4 (* (PI) f))))
(* (* 1/12 (* (PI) (PI))) (* (* f f) 1/4))
(* 1/12 (* (PI) (PI)))
1/12
(* (PI) (PI))
(* (* f f) 1/4)
(* f f)
f
1/4
(log (/ 4 (* (PI) f)))
(/ 4 (* (PI) f))
4
(* (PI) f)
(/ (* -4 (log (/ -1 (- (exp (* f (* -1/2 (PI)))) 1)))) (PI))
(* -4 (log (/ -1 (- (exp (* f (* -1/2 (PI)))) 1))))
-4
(log (/ -1 (- (exp (* f (* -1/2 (PI)))) 1)))
(/ -1 (- (exp (* f (* -1/2 (PI)))) 1))
-1
(- (exp (* f (* -1/2 (PI)))) 1)
(* f (* -1/2 (PI)))
f
(* -1/2 (PI))
-1/2
(PI)
Outputs
(/ (/ -4 (PI)) (/ 1 (log (+ (/ 1 (- (exp (/ (* (PI) f) 2)) 1)) (/ -1 (- (exp (* (PI) (* f -1/2))) 1))))))
(/.f64 (log.f64 (+.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 (*.f64 (PI.f64) f) #s(literal 2 binary64)))) (/.f64 #s(literal -1 binary64) (expm1.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal -1/2 binary64)))))) (/.f64 (PI.f64) #s(literal -4 binary64)))
(/ -4 (PI))
(/.f64 #s(literal -4 binary64) (PI.f64))
-4
#s(literal -4 binary64)
(PI)
(PI.f64)
(/ 1 (log (+ (/ 1 (- (exp (/ (* (PI) f) 2)) 1)) (/ -1 (- (exp (* (PI) (* f -1/2))) 1)))))
(/.f64 #s(literal 1 binary64) (log.f64 (+.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 (*.f64 (PI.f64) f) #s(literal 2 binary64)))) (/.f64 #s(literal -1 binary64) (expm1.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal -1/2 binary64)))))))
1
#s(literal 1 binary64)
(log (+ (/ 1 (- (exp (/ (* (PI) f) 2)) 1)) (/ -1 (- (exp (* (PI) (* f -1/2))) 1))))
(log.f64 (+.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 (*.f64 (PI.f64) f) #s(literal 2 binary64)))) (/.f64 #s(literal -1 binary64) (expm1.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal -1/2 binary64))))))
(+ (/ 1 (- (exp (/ (* (PI) f) 2)) 1)) (/ -1 (- (exp (* (PI) (* f -1/2))) 1)))
(+.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 (*.f64 (PI.f64) f) #s(literal 2 binary64)))) (/.f64 #s(literal -1 binary64) (expm1.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal -1/2 binary64)))))
(/ 1 (- (exp (/ (* (PI) f) 2)) 1))
(/.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 (*.f64 (PI.f64) f) #s(literal 2 binary64))))
(- (exp (/ (* (PI) f) 2)) 1)
(expm1.f64 (/.f64 (*.f64 (PI.f64) f) #s(literal 2 binary64)))
(/ (* (PI) f) 2)
(/.f64 (*.f64 (PI.f64) f) #s(literal 2 binary64))
(* (PI) f)
(*.f64 (PI.f64) f)
f
2
#s(literal 2 binary64)
(/ -1 (- (exp (* (PI) (* f -1/2))) 1))
(/.f64 #s(literal -1 binary64) (expm1.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal -1/2 binary64))))
-1
#s(literal -1 binary64)
(- (exp (* (PI) (* f -1/2))) 1)
(expm1.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal -1/2 binary64)))
(* (PI) (* f -1/2))
(*.f64 (*.f64 (PI.f64) f) #s(literal -1/2 binary64))
(* f -1/2)
(*.f64 f #s(literal -1/2 binary64))
-1/2
#s(literal -1/2 binary64)
(* -1/12 (* (PI) (* f f)))
(*.f64 f (*.f64 (PI.f64) (*.f64 f #s(literal -1/12 binary64))))
-1/12
#s(literal -1/12 binary64)
(* (PI) (* f f))
(*.f64 (PI.f64) (*.f64 f f))
(PI)
(PI.f64)
(* f f)
(*.f64 f f)
f
(/ 1 (/ (/ (PI) -4) (log (/ 4 (* (PI) f)))))
(/.f64 (log.f64 (/.f64 #s(literal 4 binary64) (*.f64 (PI.f64) f))) (/.f64 (PI.f64) #s(literal -4 binary64)))
1
#s(literal 1 binary64)
(/ (/ (PI) -4) (log (/ 4 (* (PI) f))))
(/.f64 (/.f64 (PI.f64) #s(literal -4 binary64)) (log.f64 (/.f64 #s(literal 4 binary64) (*.f64 (PI.f64) f))))
(/ (PI) -4)
(/.f64 (PI.f64) #s(literal -4 binary64))
(PI)
(PI.f64)
-4
#s(literal -4 binary64)
(log (/ 4 (* (PI) f)))
(log.f64 (/.f64 #s(literal 4 binary64) (*.f64 (PI.f64) f)))
(/ 4 (* (PI) f))
(/.f64 #s(literal 4 binary64) (*.f64 (PI.f64) f))
4
#s(literal 4 binary64)
(* (PI) f)
(*.f64 (PI.f64) f)
f
(/ -1 (* (/ (PI) -4) (/ -1 (+ (* (* 1/12 (* (PI) (PI))) (* (* f f) 1/4)) (log (/ 4 (* (PI) f)))))))
(+.f64 (/.f64 (*.f64 (PI.f64) (*.f64 f (*.f64 f #s(literal 1/48 binary64)))) #s(literal -1/4 binary64)) (/.f64 (log.f64 (/.f64 #s(literal 4 binary64) (*.f64 (PI.f64) f))) (/.f64 (PI.f64) #s(literal -4 binary64))))
-1
#s(literal -1 binary64)
(* (/ (PI) -4) (/ -1 (+ (* (* 1/12 (* (PI) (PI))) (* (* f f) 1/4)) (log (/ 4 (* (PI) f))))))
(/.f64 (PI.f64) (/.f64 (+.f64 (log.f64 (/.f64 #s(literal 4 binary64) (*.f64 (PI.f64) f))) (*.f64 f (*.f64 f (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/48 binary64))))) #s(literal 1/4 binary64)))
(/ (PI) -4)
(/.f64 (PI.f64) #s(literal -4 binary64))
(PI)
(PI.f64)
-4
#s(literal -4 binary64)
(/ -1 (+ (* (* 1/12 (* (PI) (PI))) (* (* f f) 1/4)) (log (/ 4 (* (PI) f)))))
(/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (*.f64 f (*.f64 (PI.f64) (*.f64 (PI.f64) f))) #s(literal -1/48 binary64)) (log.f64 (/.f64 #s(literal 4 binary64) (*.f64 (PI.f64) f)))))
(+ (* (* 1/12 (* (PI) (PI))) (* (* f f) 1/4)) (log (/ 4 (* (PI) f))))
(+.f64 (log.f64 (/.f64 #s(literal 4 binary64) (*.f64 (PI.f64) f))) (*.f64 f (*.f64 f (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/48 binary64)))))
(* (* 1/12 (* (PI) (PI))) (* (* f f) 1/4))
(*.f64 f (*.f64 f (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/48 binary64))))
(* 1/12 (* (PI) (PI)))
(*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/12 binary64)))
1/12
#s(literal 1/12 binary64)
(* (PI) (PI))
(*.f64 (PI.f64) (PI.f64))
(* (* f f) 1/4)
(*.f64 f (*.f64 f #s(literal 1/4 binary64)))
(* f f)
(*.f64 f f)
f
1/4
#s(literal 1/4 binary64)
(log (/ 4 (* (PI) f)))
(log.f64 (/.f64 #s(literal 4 binary64) (*.f64 (PI.f64) f)))
(/ 4 (* (PI) f))
(/.f64 #s(literal 4 binary64) (*.f64 (PI.f64) f))
4
#s(literal 4 binary64)
(* (PI) f)
(*.f64 (PI.f64) f)
(/ (* -4 (log (/ -1 (- (exp (* f (* -1/2 (PI)))) 1)))) (PI))
(/.f64 (log.f64 (/.f64 #s(literal -1 binary64) (expm1.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal -1/2 binary64))))) (/.f64 (PI.f64) #s(literal -4 binary64)))
(* -4 (log (/ -1 (- (exp (* f (* -1/2 (PI)))) 1))))
(*.f64 #s(literal -4 binary64) (log.f64 (/.f64 #s(literal -1 binary64) (expm1.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal -1/2 binary64))))))
-4
#s(literal -4 binary64)
(log (/ -1 (- (exp (* f (* -1/2 (PI)))) 1)))
(log.f64 (/.f64 #s(literal -1 binary64) (expm1.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal -1/2 binary64)))))
(/ -1 (- (exp (* f (* -1/2 (PI)))) 1))
(/.f64 #s(literal -1 binary64) (expm1.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal -1/2 binary64))))
-1
#s(literal -1 binary64)
(- (exp (* f (* -1/2 (PI)))) 1)
(expm1.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal -1/2 binary64)))
(* f (* -1/2 (PI)))
(*.f64 (*.f64 (PI.f64) f) #s(literal -1/2 binary64))
f
(* -1/2 (PI))
(*.f64 (PI.f64) #s(literal -1/2 binary64))
-1/2
#s(literal -1/2 binary64)
(PI)
(PI.f64)

localize261.0ms (1.2%)

Memory
15.4MiB live, 530.3MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
✓accuracy99.6%
(*.f64 f (*.f64 #s(literal -1/2 binary64) (PI.f64)))
✓accuracy99.5%
(/.f64 (*.f64 #s(literal -4 binary64) (log.f64 (/.f64 #s(literal -1 binary64) (expm1.f64 (*.f64 f (*.f64 #s(literal -1/2 binary64) (PI.f64))))))) (PI.f64))
✓accuracy99.5%
(/.f64 #s(literal -1 binary64) (expm1.f64 (*.f64 f (*.f64 #s(literal -1/2 binary64) (PI.f64)))))
✓accuracy98.1%
(PI.f64)
✓accuracy99.5%
(*.f64 (/.f64 (PI.f64) #s(literal -4 binary64)) (/.f64 #s(literal -1 binary64) (+.f64 (*.f64 (*.f64 #s(literal 1/12 binary64) (*.f64 (PI.f64) (PI.f64))) (*.f64 (*.f64 f f) #s(literal 1/4 binary64))) (log.f64 (/.f64 #s(literal 4 binary64) (*.f64 (PI.f64) f))))))
✓accuracy99.5%
(/.f64 #s(literal 4 binary64) (*.f64 (PI.f64) f))
✓accuracy98.5%
(*.f64 #s(literal 1/12 binary64) (*.f64 (PI.f64) (PI.f64)))
✓accuracy98.1%
(PI.f64)
✓accuracy99.6%
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (PI.f64) #s(literal -4 binary64)) (log.f64 (/.f64 #s(literal 4 binary64) (*.f64 (PI.f64) f)))))
✓accuracy99.5%
(/.f64 (/.f64 (PI.f64) #s(literal -4 binary64)) (log.f64 (/.f64 #s(literal 4 binary64) (*.f64 (PI.f64) f))))
✓accuracy99.5%
(/.f64 #s(literal 4 binary64) (*.f64 (PI.f64) f))
✓accuracy98.1%
(PI.f64)
✓accuracy100.0%
(*.f64 f f)
✓accuracy99.7%
(*.f64 (PI.f64) (*.f64 f f))
✓accuracy99.7%
(*.f64 #s(literal -1/12 binary64) (*.f64 (PI.f64) (*.f64 f f)))
✓accuracy98.1%
(PI.f64)
✓accuracy99.5%
(/.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 (*.f64 (PI.f64) f) #s(literal 2 binary64))))
✓accuracy99.5%
(/.f64 #s(literal -1 binary64) (expm1.f64 (*.f64 (PI.f64) (*.f64 f #s(literal -1/2 binary64)))))
✓accuracy99.4%
(/.f64 (/.f64 #s(literal -4 binary64) (PI.f64)) (/.f64 #s(literal 1 binary64) (log.f64 (+.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 (*.f64 (PI.f64) f) #s(literal 2 binary64)))) (/.f64 #s(literal -1 binary64) (expm1.f64 (*.f64 (PI.f64) (*.f64 f #s(literal -1/2 binary64)))))))))
✓accuracy98.1%
(PI.f64)
Samples
103.0ms251×0valid
54.0ms5×5exit
Compiler

Compiled 396 to 49 computations (87.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 129.0ms
ival-log: 55.0ms (42.6% of total)
ival-div: 34.0ms (26.3% of total)
ival-mult: 23.0ms (17.8% of total)
const: 7.0ms (5.4% of total)
ival-expm1: 5.0ms (3.9% of total)
ival-add: 2.0ms (1.5% of total)
adjust: 1.0ms (0.8% of total)
ival-pi: 1.0ms (0.8% of total)
exact: 1.0ms (0.8% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series57.0ms (0.3%)

Memory
5.2MiB live, 120.4MiB allocated
Counts
22 → 216
Calls
Call 1
Inputs
#<alt (/ (/ -4 (PI)) (/ 1 (log (+ (/ 1 (- (exp (/ (* (PI) f) 2)) 1)) (/ -1 (- (exp (* (PI) (* f -1/2))) 1))))))>
#<alt (/ -4 (PI))>
#<alt (PI)>
#<alt (/ 1 (log (+ (/ 1 (- (exp (/ (* (PI) f) 2)) 1)) (/ -1 (- (exp (* (PI) (* f -1/2))) 1)))))>
#<alt (* -1/12 (* (PI) (* f f)))>
#<alt (* (PI) (* f f))>
#<alt (* f f)>
#<alt (/ 1 (/ (/ (PI) -4) (log (/ 4 (* (PI) f)))))>
#<alt (/ (/ (PI) -4) (log (/ 4 (* (PI) f))))>
#<alt (/ (PI) -4)>
#<alt (/ -1 (* (/ (PI) -4) (/ -1 (+ (* (* 1/12 (* (PI) (PI))) (* (* f f) 1/4)) (log (/ 4 (* (PI) f)))))))>
#<alt (* (/ (PI) -4) (/ -1 (+ (* (* 1/12 (* (PI) (PI))) (* (* f f) 1/4)) (log (/ 4 (* (PI) f))))))>
#<alt (* (* 1/12 (* (PI) (PI))) (* (* f f) 1/4))>
#<alt (/ (* -4 (log (/ -1 (- (exp (* f (* -1/2 (PI)))) 1)))) (PI))>
#<alt (* -4 (log (/ -1 (- (exp (* f (* -1/2 (PI)))) 1))))>
#<alt (log (/ -1 (- (exp (* f (* -1/2 (PI)))) 1)))>
#<alt (/ -1 (- (exp (* f (* -1/2 (PI)))) 1))>
#<alt (/ -1 (- (exp (* (PI) (* f -1/2))) 1))>
#<alt (/ 1 (- (exp (/ (* (PI) f) 2)) 1))>
#<alt (/ 4 (* (PI) f))>
#<alt (* 1/12 (* (PI) (PI)))>
#<alt (* f (* -1/2 (PI)))>
Outputs
#<alt (* -4 (/ (+ (log (/ 4 (PI))) (* -1 (log f))) (PI)))>
#<alt (+ (* -4 (/ (+ (log (/ 4 (PI))) (* -1 (log f))) (PI))) (* -1 (* (pow f 2) (- (+ (* -1/12 (PI)) (* 1/8 (PI))) (+ (* -1/8 (PI)) (* 1/12 (PI)))))))>
#<alt (+ (* -4 (/ (+ (log (/ 4 (PI))) (* -1 (log f))) (PI))) (* (pow f 2) (+ (* -1 (* f (- (* 1/4 (* (PI) (+ (* -1/12 (PI)) (* 1/8 (PI))))) (* -1/4 (* (PI) (+ (* -1/8 (PI)) (* 1/12 (PI)))))))) (* -1 (- (+ (* -1/12 (PI)) (* 1/8 (PI))) (+ (* -1/8 (PI)) (* 1/12 (PI))))))))>
#<alt (+ (* -4 (/ (+ (log (/ 4 (PI))) (* -1 (log f))) (PI))) (* (pow f 2) (+ (* -1 (- (+ (* -1/12 (PI)) (* 1/8 (PI))) (+ (* -1/8 (PI)) (* 1/12 (PI))))) (* f (+ (* -1 (- (* 1/4 (* (PI) (+ (* -1/12 (PI)) (* 1/8 (PI))))) (* -1/4 (* (PI) (+ (* -1/8 (PI)) (* 1/12 (PI))))))) (* -1/6 (/ (* f (+ (* -3/4 (* (pow (PI) 2) (pow (- (+ (* -1/12 (PI)) (* 1/8 (PI))) (+ (* -1/8 (PI)) (* 1/12 (PI)))) 2))) (* 6 (* (PI) (- (+ (* -1/24 (* (pow (PI) 2) (+ (* -1/12 (PI)) (* 1/8 (PI))))) (+ (* -1/960 (pow (PI) 3)) (+ (* 1/384 (pow (PI) 3)) (* 1/4 (* (PI) (+ (* -1/48 (pow (PI) 2)) (+ (* 1/96 (pow (PI) 2)) (* 1/4 (* (PI) (+ (* -1/12 (PI)) (* 1/8 (PI)))))))))))) (+ (* -1/4 (* (PI) (+ (* -1/4 (* (PI) (+ (* -1/8 (PI)) (* 1/12 (PI))))) (+ (* -1/48 (pow (PI) 2)) (* 1/96 (pow (PI) 2)))))) (+ (* -1/24 (* (pow (PI) 2) (+ (* -1/8 (PI)) (* 1/12 (PI))))) (+ (* -1/384 (pow (PI) 3)) (* 1/960 (pow (PI) 3)))))))))) (PI))))))))>
#<alt (* -4 (/ (log (- (/ 1 (- (exp (* 1/2 (* f (PI)))) 1)) (/ 1 (- (exp (* -1/2 (* f (PI)))) 1)))) (PI)))>
#<alt (* -4 (/ (log (- (/ 1 (- (exp (* 1/2 (* f (PI)))) 1)) (/ 1 (- (exp (* -1/2 (* f (PI)))) 1)))) (PI)))>
#<alt (* -4 (/ (log (- (/ 1 (- (exp (* 1/2 (* f (PI)))) 1)) (/ 1 (- (exp (* -1/2 (* f (PI)))) 1)))) (PI)))>
#<alt (* -4 (/ (log (- (/ 1 (- (exp (* 1/2 (* f (PI)))) 1)) (/ 1 (- (exp (* -1/2 (* f (PI)))) 1)))) (PI)))>
#<alt (* -4 (/ (log (- (/ 1 (- (exp (* 1/2 (* f (PI)))) 1)) (/ 1 (- (exp (* -1/2 (* f (PI)))) 1)))) (PI)))>
#<alt (* -4 (/ (log (- (/ 1 (- (exp (* 1/2 (* f (PI)))) 1)) (/ 1 (- (exp (* -1/2 (* f (PI)))) 1)))) (PI)))>
#<alt (* -4 (/ (log (- (/ 1 (- (exp (* 1/2 (* f (PI)))) 1)) (/ 1 (- (exp (* -1/2 (* f (PI)))) 1)))) (PI)))>
#<alt (* -4 (/ (log (- (/ 1 (- (exp (* 1/2 (* f (PI)))) 1)) (/ 1 (- (exp (* -1/2 (* f (PI)))) 1)))) (PI)))>
#<alt (/ 1 (+ (log (/ 4 (PI))) (* -1 (log f))))>
#<alt (+ (* -1/4 (/ (* (pow f 2) (* (PI) (- (+ (* -1/12 (PI)) (* 1/8 (PI))) (+ (* -1/8 (PI)) (* 1/12 (PI)))))) (pow (+ (log (/ 4 (PI))) (* -1 (log f))) 2))) (/ 1 (+ (log (/ 4 (PI))) (* -1 (log f)))))>
#<alt (+ (* (pow f 2) (- (* -1/4 (/ (* f (* (PI) (- (* 1/4 (* (PI) (+ (* -1/12 (PI)) (* 1/8 (PI))))) (* -1/4 (* (PI) (+ (* -1/8 (PI)) (* 1/12 (PI)))))))) (pow (+ (log (/ 4 (PI))) (* -1 (log f))) 2))) (* 1/4 (/ (* (PI) (- (+ (* -1/12 (PI)) (* 1/8 (PI))) (+ (* -1/8 (PI)) (* 1/12 (PI))))) (pow (+ (log (/ 4 (PI))) (* -1 (log f))) 2))))) (/ 1 (+ (log (/ 4 (PI))) (* -1 (log f)))))>
#<alt (+ (* (pow f 2) (- (* f (- (* -1 (* f (+ (* -1/16 (/ (* (pow (PI) 2) (pow (- (+ (* -1/12 (PI)) (* 1/8 (PI))) (+ (* -1/8 (PI)) (* 1/12 (PI)))) 2)) (pow (+ (log (/ 4 (PI))) (* -1 (log f))) 3))) (* 1/24 (/ (+ (* -3/4 (* (pow (PI) 2) (pow (- (+ (* -1/12 (PI)) (* 1/8 (PI))) (+ (* -1/8 (PI)) (* 1/12 (PI)))) 2))) (* 6 (* (PI) (- (+ (* -1/24 (* (pow (PI) 2) (+ (* -1/12 (PI)) (* 1/8 (PI))))) (+ (* -1/960 (pow (PI) 3)) (+ (* 1/384 (pow (PI) 3)) (* 1/4 (* (PI) (+ (* -1/48 (pow (PI) 2)) (+ (* 1/96 (pow (PI) 2)) (* 1/4 (* (PI) (+ (* -1/12 (PI)) (* 1/8 (PI)))))))))))) (+ (* -1/4 (* (PI) (+ (* -1/4 (* (PI) (+ (* -1/8 (PI)) (* 1/12 (PI))))) (+ (* -1/48 (pow (PI) 2)) (* 1/96 (pow (PI) 2)))))) (+ (* -1/24 (* (pow (PI) 2) (+ (* -1/8 (PI)) (* 1/12 (PI))))) (+ (* -1/384 (pow (PI) 3)) (* 1/960 (pow (PI) 3))))))))) (pow (+ (log (/ 4 (PI))) (* -1 (log f))) 2)))))) (* 1/4 (/ (* (PI) (- (* 1/4 (* (PI) (+ (* -1/12 (PI)) (* 1/8 (PI))))) (* -1/4 (* (PI) (+ (* -1/8 (PI)) (* 1/12 (PI))))))) (pow (+ (log (/ 4 (PI))) (* -1 (log f))) 2))))) (* 1/4 (/ (* (PI) (- (+ (* -1/12 (PI)) (* 1/8 (PI))) (+ (* -1/8 (PI)) (* 1/12 (PI))))) (pow (+ (log (/ 4 (PI))) (* -1 (log f))) 2))))) (/ 1 (+ (log (/ 4 (PI))) (* -1 (log f)))))>
#<alt (/ 1 (log (- (/ 1 (- (exp (* 1/2 (* f (PI)))) 1)) (/ 1 (- (exp (* -1/2 (* f (PI)))) 1)))))>
#<alt (/ 1 (log (- (/ 1 (- (exp (* 1/2 (* f (PI)))) 1)) (/ 1 (- (exp (* -1/2 (* f (PI)))) 1)))))>
#<alt (/ 1 (log (- (/ 1 (- (exp (* 1/2 (* f (PI)))) 1)) (/ 1 (- (exp (* -1/2 (* f (PI)))) 1)))))>
#<alt (/ 1 (log (- (/ 1 (- (exp (* 1/2 (* f (PI)))) 1)) (/ 1 (- (exp (* -1/2 (* f (PI)))) 1)))))>
#<alt (/ 1 (log (- (/ 1 (- (exp (* 1/2 (* f (PI)))) 1)) (/ 1 (- (exp (* -1/2 (* f (PI)))) 1)))))>
#<alt (/ 1 (log (- (/ 1 (- (exp (* 1/2 (* f (PI)))) 1)) (/ 1 (- (exp (* -1/2 (* f (PI)))) 1)))))>
#<alt (/ 1 (log (- (/ 1 (- (exp (* 1/2 (* f (PI)))) 1)) (/ 1 (- (exp (* -1/2 (* f (PI)))) 1)))))>
#<alt (/ 1 (log (- (/ 1 (- (exp (* 1/2 (* f (PI)))) 1)) (/ 1 (- (exp (* -1/2 (* f (PI)))) 1)))))>
#<alt (* -1/12 (* (pow f 2) (PI)))>
#<alt (* -1/12 (* (pow f 2) (PI)))>
#<alt (* -1/12 (* (pow f 2) (PI)))>
#<alt (* -1/12 (* (pow f 2) (PI)))>
#<alt (* -1/12 (* (pow f 2) (PI)))>
#<alt (* -1/12 (* (pow f 2) (PI)))>
#<alt (* -1/12 (* (pow f 2) (PI)))>
#<alt (* -1/12 (* (pow f 2) (PI)))>
#<alt (* -1/12 (* (pow f 2) (PI)))>
#<alt (* -1/12 (* (pow f 2) (PI)))>
#<alt (* -1/12 (* (pow f 2) (PI)))>
#<alt (* -1/12 (* (pow f 2) (PI)))>
#<alt (* (pow f 2) (PI))>
#<alt (* (pow f 2) (PI))>
#<alt (* (pow f 2) (PI))>
#<alt (* (pow f 2) (PI))>
#<alt (* (pow f 2) (PI))>
#<alt (* (pow f 2) (PI))>
#<alt (* (pow f 2) (PI))>
#<alt (* (pow f 2) (PI))>
#<alt (* (pow f 2) (PI))>
#<alt (* (pow f 2) (PI))>
#<alt (* (pow f 2) (PI))>
#<alt (* (pow f 2) (PI))>
#<alt (pow f 2)>
#<alt (pow f 2)>
#<alt (pow f 2)>
#<alt (pow f 2)>
#<alt (pow f 2)>
#<alt (pow f 2)>
#<alt (pow f 2)>
#<alt (pow f 2)>
#<alt (pow f 2)>
#<alt (pow f 2)>
#<alt (pow f 2)>
#<alt (pow f 2)>
#<alt (* -4 (/ (+ (log (/ 4 (PI))) (* -1 (log f))) (PI)))>
#<alt (* -4 (/ (+ (log (/ 4 (PI))) (* -1 (log f))) (PI)))>
#<alt (* -4 (/ (+ (log (/ 4 (PI))) (* -1 (log f))) (PI)))>
#<alt (* -4 (/ (+ (log (/ 4 (PI))) (* -1 (log f))) (PI)))>
#<alt (* -4 (/ (+ (log (/ 1 f)) (log (/ 4 (PI)))) (PI)))>
#<alt (* -4 (/ (+ (log (/ 1 f)) (log (/ 4 (PI)))) (PI)))>
#<alt (* -4 (/ (+ (log (/ 1 f)) (log (/ 4 (PI)))) (PI)))>
#<alt (* -4 (/ (+ (log (/ 1 f)) (log (/ 4 (PI)))) (PI)))>
#<alt (* -4 (/ (+ (log (/ -4 (PI))) (log (/ -1 f))) (PI)))>
#<alt (* -4 (/ (+ (log (/ -4 (PI))) (log (/ -1 f))) (PI)))>
#<alt (* -4 (/ (+ (log (/ -4 (PI))) (log (/ -1 f))) (PI)))>
#<alt (* -4 (/ (+ (log (/ -4 (PI))) (log (/ -1 f))) (PI)))>
#<alt (* -1/4 (/ (PI) (+ (log (/ 4 (PI))) (* -1 (log f)))))>
#<alt (* -1/4 (/ (PI) (+ (log (/ 4 (PI))) (* -1 (log f)))))>
#<alt (* -1/4 (/ (PI) (+ (log (/ 4 (PI))) (* -1 (log f)))))>
#<alt (* -1/4 (/ (PI) (+ (log (/ 4 (PI))) (* -1 (log f)))))>
#<alt (* -1/4 (/ (PI) (+ (log (/ 1 f)) (log (/ 4 (PI))))))>
#<alt (* -1/4 (/ (PI) (+ (log (/ 1 f)) (log (/ 4 (PI))))))>
#<alt (* -1/4 (/ (PI) (+ (log (/ 1 f)) (log (/ 4 (PI))))))>
#<alt (* -1/4 (/ (PI) (+ (log (/ 1 f)) (log (/ 4 (PI))))))>
#<alt (* -1/4 (/ (PI) (+ (log (/ -4 (PI))) (log (/ -1 f)))))>
#<alt (* -1/4 (/ (PI) (+ (log (/ -4 (PI))) (log (/ -1 f)))))>
#<alt (* -1/4 (/ (PI) (+ (log (/ -4 (PI))) (log (/ -1 f)))))>
#<alt (* -1/4 (/ (PI) (+ (log (/ -4 (PI))) (log (/ -1 f)))))>
#<alt (* -4 (/ (+ (log (/ 4 (PI))) (* -1 (log f))) (PI)))>
#<alt (+ (* -4 (/ (+ (log (/ 4 (PI))) (* -1 (log f))) (PI))) (* -1/12 (* (pow f 2) (PI))))>
#<alt (+ (* -4 (/ (+ (log (/ 4 (PI))) (* -1 (log f))) (PI))) (* -1/12 (* (pow f 2) (PI))))>
#<alt (+ (* -4 (/ (+ (log (/ 4 (PI))) (* -1 (log f))) (PI))) (* -1/12 (* (pow f 2) (PI))))>
#<alt (* -1/12 (* (pow f 2) (PI)))>
#<alt (* (pow f 2) (+ (* -4 (/ (+ (/ (log (/ 1 f)) (PI)) (/ (log (/ 4 (PI))) (PI))) (pow f 2))) (* -1/12 (PI))))>
#<alt (* (pow f 2) (+ (* -4 (/ (+ (/ (log (/ 1 f)) (PI)) (/ (log (/ 4 (PI))) (PI))) (pow f 2))) (* -1/12 (PI))))>
#<alt (* (pow f 2) (+ (* -4 (/ (+ (/ (log (/ 1 f)) (PI)) (/ (log (/ 4 (PI))) (PI))) (pow f 2))) (* -1/12 (PI))))>
#<alt (* -1/12 (* (pow f 2) (PI)))>
#<alt (* (pow f 2) (+ (* -4 (/ (+ (/ (log (/ -4 (PI))) (PI)) (/ (log (/ -1 f)) (PI))) (pow f 2))) (* -1/12 (PI))))>
#<alt (* (pow f 2) (+ (* -4 (/ (+ (/ (log (/ -4 (PI))) (PI)) (/ (log (/ -1 f)) (PI))) (pow f 2))) (* -1/12 (PI))))>
#<alt (* (pow f 2) (+ (* -4 (/ (+ (/ (log (/ -4 (PI))) (PI)) (/ (log (/ -1 f)) (PI))) (pow f 2))) (* -1/12 (PI))))>
#<alt (* 1/4 (/ (PI) (+ (log (/ 4 (PI))) (* -1 (log f)))))>
#<alt (+ (* -1/192 (/ (* (pow f 2) (pow (PI) 3)) (pow (+ (log (/ 4 (PI))) (* -1 (log f))) 2))) (* 1/4 (/ (PI) (+ (log (/ 4 (PI))) (* -1 (log f))))))>
#<alt (+ (* 1/4 (/ (PI) (+ (log (/ 4 (PI))) (* -1 (log f))))) (* (pow f 2) (+ (* -1/192 (/ (pow (PI) 3) (pow (+ (log (/ 4 (PI))) (* -1 (log f))) 2))) (* 1/9216 (/ (* (pow f 2) (pow (PI) 5)) (pow (+ (log (/ 4 (PI))) (* -1 (log f))) 3))))))>
#<alt (+ (* 1/4 (/ (PI) (+ (log (/ 4 (PI))) (* -1 (log f))))) (* (pow f 2) (+ (* -1/192 (/ (pow (PI) 3) (pow (+ (log (/ 4 (PI))) (* -1 (log f))) 2))) (* (pow f 2) (+ (* -1/442368 (/ (* (pow f 2) (pow (PI) 7)) (pow (+ (log (/ 4 (PI))) (* -1 (log f))) 4))) (* 1/9216 (/ (pow (PI) 5) (pow (+ (log (/ 4 (PI))) (* -1 (log f))) 3))))))))>
#<alt (/ 12 (* (pow f 2) (PI)))>
#<alt (/ (+ (* -576 (/ (+ (log (/ 1 f)) (log (/ 4 (PI)))) (* (pow f 2) (pow (PI) 3)))) (* 12 (/ 1 (PI)))) (pow f 2))>
#<alt (/ (+ (* -576 (/ (+ (log (/ 1 f)) (log (/ 4 (PI)))) (* (pow f 2) (pow (PI) 3)))) (+ (* 27648 (/ (pow (+ (log (/ 1 f)) (log (/ 4 (PI)))) 2) (* (pow f 4) (pow (PI) 5)))) (* 12 (/ 1 (PI))))) (pow f 2))>
#<alt (/ (+ (* -1327104 (/ (pow (+ (log (/ 1 f)) (log (/ 4 (PI)))) 3) (* (pow f 6) (pow (PI) 7)))) (+ (* -576 (/ (+ (log (/ 1 f)) (log (/ 4 (PI)))) (* (pow f 2) (pow (PI) 3)))) (+ (* 27648 (/ (pow (+ (log (/ 1 f)) (log (/ 4 (PI)))) 2) (* (pow f 4) (pow (PI) 5)))) (* 12 (/ 1 (PI)))))) (pow f 2))>
#<alt (/ 12 (* (pow f 2) (PI)))>
#<alt (/ (+ (* -576 (/ (+ (log (/ -4 (PI))) (log (/ -1 f))) (* (pow f 2) (pow (PI) 3)))) (* 12 (/ 1 (PI)))) (pow f 2))>
#<alt (/ (+ (* -576 (/ (+ (log (/ -4 (PI))) (log (/ -1 f))) (* (pow f 2) (pow (PI) 3)))) (+ (* 27648 (/ (pow (+ (log (/ -4 (PI))) (log (/ -1 f))) 2) (* (pow f 4) (pow (PI) 5)))) (* 12 (/ 1 (PI))))) (pow f 2))>
#<alt (/ (+ (* -1327104 (/ (pow (+ (log (/ -4 (PI))) (log (/ -1 f))) 3) (* (pow f 6) (pow (PI) 7)))) (+ (* -576 (/ (+ (log (/ -4 (PI))) (log (/ -1 f))) (* (pow f 2) (pow (PI) 3)))) (+ (* 27648 (/ (pow (+ (log (/ -4 (PI))) (log (/ -1 f))) 2) (* (pow f 4) (pow (PI) 5)))) (* 12 (/ 1 (PI)))))) (pow f 2))>
#<alt (* 1/48 (* (pow f 2) (pow (PI) 2)))>
#<alt (* 1/48 (* (pow f 2) (pow (PI) 2)))>
#<alt (* 1/48 (* (pow f 2) (pow (PI) 2)))>
#<alt (* 1/48 (* (pow f 2) (pow (PI) 2)))>
#<alt (* 1/48 (* (pow f 2) (pow (PI) 2)))>
#<alt (* 1/48 (* (pow f 2) (pow (PI) 2)))>
#<alt (* 1/48 (* (pow f 2) (pow (PI) 2)))>
#<alt (* 1/48 (* (pow f 2) (pow (PI) 2)))>
#<alt (* 1/48 (* (pow f 2) (pow (PI) 2)))>
#<alt (* 1/48 (* (pow f 2) (pow (PI) 2)))>
#<alt (* 1/48 (* (pow f 2) (pow (PI) 2)))>
#<alt (* 1/48 (* (pow f 2) (pow (PI) 2)))>
#<alt (* -4 (/ (+ (log (/ 2 (PI))) (* -1 (log f))) (PI)))>
#<alt (+ (* -4 (/ (+ (log (/ 2 (PI))) (* -1 (log f))) (PI))) (* -1 f))>
#<alt (+ (* -4 (/ (+ (log (/ 2 (PI))) (* -1 (log f))) (PI))) (* f (- (* -2 (/ (* f (+ (* -1 (* (PI) (+ (* -1/8 (PI)) (* 1/12 (PI))))) (* -1/16 (pow (PI) 2)))) (PI))) 1)))>
#<alt (+ (* -4 (/ (+ (log (/ 2 (PI))) (* -1 (log f))) (PI))) (* f (- (* f (+ (* -2 (/ (+ (* -1 (* (PI) (+ (* -1/8 (PI)) (* 1/12 (PI))))) (* -1/16 (pow (PI) 2))) (PI))) (* -2/3 (/ (* f (+ (* -3 (* (PI) (+ (* -1/96 (pow (PI) 2)) (+ (* 1/48 (pow (PI) 2)) (* 1/4 (* (PI) (+ (* -1/8 (PI)) (* 1/12 (PI))))))))) (+ (* 1/32 (pow (PI) 3)) (* 3/4 (* (pow (PI) 2) (+ (* -1/8 (PI)) (* 1/12 (PI)))))))) (PI))))) 1)))>
#<alt (* -4 (/ (log (/ -1 (- (exp (* -1/2 (* f (PI)))) 1))) (PI)))>
#<alt (* -4 (/ (log (/ -1 (- (exp (* -1/2 (* f (PI)))) 1))) (PI)))>
#<alt (* -4 (/ (log (/ -1 (- (exp (* -1/2 (* f (PI)))) 1))) (PI)))>
#<alt (* -4 (/ (log (/ -1 (- (exp (* -1/2 (* f (PI)))) 1))) (PI)))>
#<alt (* -4 (/ (log (/ -1 (- (exp (* -1/2 (* f (PI)))) 1))) (PI)))>
#<alt (* -4 (/ (log (/ -1 (- (exp (* -1/2 (* f (PI)))) 1))) (PI)))>
#<alt (* -4 (/ (log (/ -1 (- (exp (* -1/2 (* f (PI)))) 1))) (PI)))>
#<alt (* -4 (/ (log (/ -1 (- (exp (* -1/2 (* f (PI)))) 1))) (PI)))>
#<alt (* -4 (+ (log (/ 2 (PI))) (* -1 (log f))))>
#<alt (+ (* -4 (+ (log (/ 2 (PI))) (* -1 (log f)))) (* -1 (* f (PI))))>
#<alt (+ (* -4 (+ (log (/ 2 (PI))) (* -1 (log f)))) (* f (+ (* -2 (* f (+ (* -1 (* (PI) (+ (* -1/8 (PI)) (* 1/12 (PI))))) (* -1/16 (pow (PI) 2))))) (* -1 (PI)))))>
#<alt (+ (* -4 (+ (log (/ 2 (PI))) (* -1 (log f)))) (* f (+ (* -1 (PI)) (* f (+ (* -2 (+ (* -1 (* (PI) (+ (* -1/8 (PI)) (* 1/12 (PI))))) (* -1/16 (pow (PI) 2)))) (* -2/3 (* f (+ (* -3 (* (PI) (+ (* -1/96 (pow (PI) 2)) (+ (* 1/48 (pow (PI) 2)) (* 1/4 (* (PI) (+ (* -1/8 (PI)) (* 1/12 (PI))))))))) (+ (* 1/32 (pow (PI) 3)) (* 3/4 (* (pow (PI) 2) (+ (* -1/8 (PI)) (* 1/12 (PI))))))))))))))>
#<alt (* -4 (log (/ -1 (- (exp (* -1/2 (* f (PI)))) 1))))>
#<alt (* -4 (log (/ -1 (- (exp (* -1/2 (* f (PI)))) 1))))>
#<alt (* -4 (log (/ -1 (- (exp (* -1/2 (* f (PI)))) 1))))>
#<alt (* -4 (log (/ -1 (- (exp (* -1/2 (* f (PI)))) 1))))>
#<alt (* -4 (log (/ -1 (- (exp (* -1/2 (* f (PI)))) 1))))>
#<alt (* -4 (log (/ -1 (- (exp (* -1/2 (* f (PI)))) 1))))>
#<alt (* -4 (log (/ -1 (- (exp (* -1/2 (* f (PI)))) 1))))>
#<alt (* -4 (log (/ -1 (- (exp (* -1/2 (* f (PI)))) 1))))>
#<alt (+ (log (/ 2 (PI))) (* -1 (log f)))>
#<alt (+ (log (/ 2 (PI))) (+ (* -1 (log f)) (* 1/4 (* f (PI)))))>
#<alt (+ (log (/ 2 (PI))) (+ (* -1 (log f)) (* f (+ (* 1/4 (PI)) (* 1/2 (* f (+ (* -1 (* (PI) (+ (* -1/8 (PI)) (* 1/12 (PI))))) (* -1/16 (pow (PI) 2)))))))))>
#<alt (+ (log (/ 2 (PI))) (+ (* -1 (log f)) (* f (+ (* 1/4 (PI)) (* f (+ (* 1/6 (* f (+ (* -3 (* (PI) (+ (* -1/96 (pow (PI) 2)) (+ (* 1/48 (pow (PI) 2)) (* 1/4 (* (PI) (+ (* -1/8 (PI)) (* 1/12 (PI))))))))) (+ (* 1/32 (pow (PI) 3)) (* 3/4 (* (pow (PI) 2) (+ (* -1/8 (PI)) (* 1/12 (PI))))))))) (* 1/2 (+ (* -1 (* (PI) (+ (* -1/8 (PI)) (* 1/12 (PI))))) (* -1/16 (pow (PI) 2))))))))))>
#<alt (log (/ -1 (- (exp (* -1/2 (* f (PI)))) 1)))>
#<alt (log (/ -1 (- (exp (* -1/2 (* f (PI)))) 1)))>
#<alt (log (/ -1 (- (exp (* -1/2 (* f (PI)))) 1)))>
#<alt (log (/ -1 (- (exp (* -1/2 (* f (PI)))) 1)))>
#<alt (log (/ -1 (- (exp (* -1/2 (* f (PI)))) 1)))>
#<alt (log (/ -1 (- (exp (* -1/2 (* f (PI)))) 1)))>
#<alt (log (/ -1 (- (exp (* -1/2 (* f (PI)))) 1)))>
#<alt (log (/ -1 (- (exp (* -1/2 (* f (PI)))) 1)))>
#<alt (/ 2 (* f (PI)))>
#<alt (/ (+ (* 1/2 f) (* 2 (/ 1 (PI)))) f)>
#<alt (/ (+ (* f (+ 1/2 (* -1 (* f (+ (* -1/8 (PI)) (* 1/12 (PI))))))) (* 2 (/ 1 (PI)))) f)>
#<alt (/ (+ (* f (+ 1/2 (* f (- (* -1 (* f (+ (* -1/96 (pow (PI) 2)) (+ (* 1/48 (pow (PI) 2)) (* 1/4 (* (PI) (+ (* -1/8 (PI)) (* 1/12 (PI))))))))) (+ (* -1/8 (PI)) (* 1/12 (PI))))))) (* 2 (/ 1 (PI)))) f)>
#<alt (/ -1 (- (exp (* -1/2 (* f (PI)))) 1))>
#<alt (/ -1 (- (exp (* -1/2 (* f (PI)))) 1))>
#<alt (/ -1 (- (exp (* -1/2 (* f (PI)))) 1))>
#<alt (/ -1 (- (exp (* -1/2 (* f (PI)))) 1))>
#<alt (/ -1 (- (exp (* -1/2 (* f (PI)))) 1))>
#<alt (/ -1 (- (exp (* -1/2 (* f (PI)))) 1))>
#<alt (/ -1 (- (exp (* -1/2 (* f (PI)))) 1))>
#<alt (/ -1 (- (exp (* -1/2 (* f (PI)))) 1))>
#<alt (/ 2 (* f (PI)))>
#<alt (/ (+ (* 1/2 f) (* 2 (/ 1 (PI)))) f)>
#<alt (/ (+ (* f (+ 1/2 (* -1 (* f (+ (* -1/8 (PI)) (* 1/12 (PI))))))) (* 2 (/ 1 (PI)))) f)>
#<alt (/ (+ (* f (+ 1/2 (* f (- (* -1 (* f (+ (* -1/96 (pow (PI) 2)) (+ (* 1/48 (pow (PI) 2)) (* 1/4 (* (PI) (+ (* -1/8 (PI)) (* 1/12 (PI))))))))) (+ (* -1/8 (PI)) (* 1/12 (PI))))))) (* 2 (/ 1 (PI)))) f)>
#<alt (/ -1 (- (exp (* -1/2 (* f (PI)))) 1))>
#<alt (/ -1 (- (exp (* -1/2 (* f (PI)))) 1))>
#<alt (/ -1 (- (exp (* -1/2 (* f (PI)))) 1))>
#<alt (/ -1 (- (exp (* -1/2 (* f (PI)))) 1))>
#<alt (/ -1 (- (exp (* -1/2 (* f (PI)))) 1))>
#<alt (/ -1 (- (exp (* -1/2 (* f (PI)))) 1))>
#<alt (/ -1 (- (exp (* -1/2 (* f (PI)))) 1))>
#<alt (/ -1 (- (exp (* -1/2 (* f (PI)))) 1))>
#<alt (/ 2 (* f (PI)))>
#<alt (/ (+ (* -1/2 f) (* 2 (/ 1 (PI)))) f)>
#<alt (/ (+ (* f (- (* -1 (* f (+ (* -1/8 (PI)) (* 1/12 (PI))))) 1/2)) (* 2 (/ 1 (PI)))) f)>
#<alt (/ (+ (* f (- (* f (- (* -1 (* f (+ (* -1/4 (* (PI) (+ (* -1/8 (PI)) (* 1/12 (PI))))) (+ (* -1/48 (pow (PI) 2)) (* 1/96 (pow (PI) 2)))))) (+ (* -1/8 (PI)) (* 1/12 (PI))))) 1/2)) (* 2 (/ 1 (PI)))) f)>
#<alt (/ 1 (- (exp (* 1/2 (* f (PI)))) 1))>
#<alt (/ 1 (- (exp (* 1/2 (* f (PI)))) 1))>
#<alt (/ 1 (- (exp (* 1/2 (* f (PI)))) 1))>
#<alt (/ 1 (- (exp (* 1/2 (* f (PI)))) 1))>
#<alt (/ 1 (- (exp (* 1/2 (* f (PI)))) 1))>
#<alt (/ 1 (- (exp (* 1/2 (* f (PI)))) 1))>
#<alt (/ 1 (- (exp (* 1/2 (* f (PI)))) 1))>
#<alt (/ 1 (- (exp (* 1/2 (* f (PI)))) 1))>
#<alt (/ 4 (* f (PI)))>
#<alt (/ 4 (* f (PI)))>
#<alt (/ 4 (* f (PI)))>
#<alt (/ 4 (* f (PI)))>
#<alt (/ 4 (* f (PI)))>
#<alt (/ 4 (* f (PI)))>
#<alt (/ 4 (* f (PI)))>
#<alt (/ 4 (* f (PI)))>
#<alt (/ 4 (* f (PI)))>
#<alt (/ 4 (* f (PI)))>
#<alt (/ 4 (* f (PI)))>
#<alt (/ 4 (* f (PI)))>
#<alt (* -1/2 (* f (PI)))>
#<alt (* -1/2 (* f (PI)))>
#<alt (* -1/2 (* f (PI)))>
#<alt (* -1/2 (* f (PI)))>
#<alt (* -1/2 (* f (PI)))>
#<alt (* -1/2 (* f (PI)))>
#<alt (* -1/2 (* f (PI)))>
#<alt (* -1/2 (* f (PI)))>
#<alt (* -1/2 (* f (PI)))>
#<alt (* -1/2 (* f (PI)))>
#<alt (* -1/2 (* f (PI)))>
#<alt (* -1/2 (* f (PI)))>
Calls

54 calls:

TimeVariablePointExpression
19.0ms
f
@inf
(/ (* -4 (log (/ -1 (- (exp (* f (* -1/2 (PI)))) 1)))) (PI))
19.0ms
f
@-inf
(/ (* -4 (log (/ -1 (- (exp (* f (* -1/2 (PI)))) 1)))) (PI))
3.0ms
f
@0
(/ (* -4 (log (/ -1 (- (exp (* f (* -1/2 (PI)))) 1)))) (PI))
2.0ms
f
@inf
(* -4 (log (/ -1 (- (exp (* f (* -1/2 (PI)))) 1))))
1.0ms
f
@-inf
(/ (/ (PI) -4) (log (/ 4 (* (PI) f))))

rewrite322.0ms (1.5%)

Memory
17.4MiB live, 615.4MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
4 282×*-lowering-*.f32
4 282×*-lowering-*.f64
4 146×/-lowering-/.f32
4 146×/-lowering-/.f64
2 572×accelerator-lowering-fma.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
050236
1285228
22151222
08341203
Stop Event
1×iter limit
1×node limit
Counts
22 → 597
Calls
Call 1
Inputs
(/ (/ -4 (PI)) (/ 1 (log (+ (/ 1 (- (exp (/ (* (PI) f) 2)) 1)) (/ -1 (- (exp (* (PI) (* f -1/2))) 1))))))
(/ -4 (PI))
(PI)
(/ 1 (log (+ (/ 1 (- (exp (/ (* (PI) f) 2)) 1)) (/ -1 (- (exp (* (PI) (* f -1/2))) 1)))))
(* -1/12 (* (PI) (* f f)))
(* (PI) (* f f))
(* f f)
(/ 1 (/ (/ (PI) -4) (log (/ 4 (* (PI) f)))))
(/ (/ (PI) -4) (log (/ 4 (* (PI) f))))
(/ (PI) -4)
(/ -1 (* (/ (PI) -4) (/ -1 (+ (* (* 1/12 (* (PI) (PI))) (* (* f f) 1/4)) (log (/ 4 (* (PI) f)))))))
(* (/ (PI) -4) (/ -1 (+ (* (* 1/12 (* (PI) (PI))) (* (* f f) 1/4)) (log (/ 4 (* (PI) f))))))
(* (* 1/12 (* (PI) (PI))) (* (* f f) 1/4))
(/ (* -4 (log (/ -1 (- (exp (* f (* -1/2 (PI)))) 1)))) (PI))
(* -4 (log (/ -1 (- (exp (* f (* -1/2 (PI)))) 1))))
(log (/ -1 (- (exp (* f (* -1/2 (PI)))) 1)))
(/ -1 (- (exp (* f (* -1/2 (PI)))) 1))
(/ -1 (- (exp (* (PI) (* f -1/2))) 1))
(/ 1 (- (exp (/ (* (PI) f) 2)) 1))
(/ 4 (* (PI) f))
(* 1/12 (* (PI) (PI)))
(* f (* -1/2 (PI)))
Outputs
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (/.f64 (log.f64 (+.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 (*.f64 (PI.f64) f) #s(literal 2 binary64)))) (/.f64 #s(literal -1 binary64) (expm1.f64 (*.f64 (PI.f64) (*.f64 f #s(literal -1/2 binary64))))))) (/.f64 (PI.f64) #s(literal -4 binary64))))) #s(literal -1 binary64)))
(neg.f64 (/.f64 (/.f64 #s(literal -4 binary64) (PI.f64)) (/.f64 #s(literal -1 binary64) (log.f64 (+.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 (*.f64 (PI.f64) f) #s(literal 2 binary64)))) (/.f64 #s(literal -1 binary64) (expm1.f64 (*.f64 (PI.f64) (*.f64 f #s(literal -1/2 binary64))))))))))
(/.f64 #s(literal -4 binary64) (/.f64 (PI.f64) (log.f64 (+.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 (*.f64 (PI.f64) f) #s(literal 2 binary64)))) (/.f64 #s(literal -1 binary64) (expm1.f64 (*.f64 (PI.f64) (*.f64 f #s(literal -1/2 binary64)))))))))
(/.f64 #s(literal -4 binary64) (neg.f64 (*.f64 (-.f64 #s(literal 0 binary64) (PI.f64)) (/.f64 #s(literal 1 binary64) (log.f64 (+.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 (*.f64 (PI.f64) f) #s(literal 2 binary64)))) (/.f64 #s(literal -1 binary64) (expm1.f64 (*.f64 (PI.f64) (*.f64 f #s(literal -1/2 binary64)))))))))))
(/.f64 #s(literal -4 binary64) (neg.f64 (neg.f64 (/.f64 (PI.f64) (log.f64 (+.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 (*.f64 (PI.f64) f) #s(literal 2 binary64)))) (/.f64 #s(literal -1 binary64) (expm1.f64 (*.f64 (PI.f64) (*.f64 f #s(literal -1/2 binary64)))))))))))
(/.f64 #s(literal -4 binary64) (neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (log.f64 (+.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 (*.f64 (PI.f64) f) #s(literal 2 binary64)))) (/.f64 #s(literal -1 binary64) (expm1.f64 (*.f64 (PI.f64) (*.f64 f #s(literal -1/2 binary64)))))))) (-.f64 #s(literal 0 binary64) (PI.f64)))))
(/.f64 (/.f64 #s(literal -4 binary64) (PI.f64)) (/.f64 #s(literal 1 binary64) (log.f64 (+.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 (*.f64 (PI.f64) f) #s(literal 2 binary64)))) (/.f64 #s(literal -1 binary64) (expm1.f64 (*.f64 (PI.f64) (*.f64 f #s(literal -1/2 binary64)))))))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (log.f64 (+.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 (*.f64 (PI.f64) f) #s(literal 2 binary64)))) (/.f64 #s(literal -1 binary64) (expm1.f64 (*.f64 (PI.f64) (*.f64 f #s(literal -1/2 binary64))))))) (/.f64 (PI.f64) #s(literal -4 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (PI.f64) (log.f64 (+.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 (*.f64 (PI.f64) f) #s(literal 2 binary64)))) (/.f64 #s(literal -1 binary64) (expm1.f64 (*.f64 (PI.f64) (*.f64 f #s(literal -1/2 binary64)))))))) #s(literal -4 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (log.f64 (+.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 (*.f64 (PI.f64) f) #s(literal 2 binary64)))) (/.f64 #s(literal -1 binary64) (expm1.f64 (*.f64 (PI.f64) (*.f64 f #s(literal -1/2 binary64))))))) (/.f64 (PI.f64) #s(literal -4 binary64)))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (/.f64 (log.f64 (+.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 (*.f64 (PI.f64) f) #s(literal 2 binary64)))) (/.f64 #s(literal -1 binary64) (expm1.f64 (*.f64 (PI.f64) (*.f64 f #s(literal -1/2 binary64))))))) (/.f64 (PI.f64) #s(literal -4 binary64)))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (/.f64 (log.f64 (+.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 (*.f64 (PI.f64) f) #s(literal 2 binary64)))) (/.f64 #s(literal -1 binary64) (expm1.f64 (*.f64 (PI.f64) (*.f64 f #s(literal -1/2 binary64))))))) (/.f64 (PI.f64) #s(literal -4 binary64))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 (PI.f64) (log.f64 (+.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 (*.f64 (PI.f64) f) #s(literal 2 binary64)))) (/.f64 #s(literal -1 binary64) (expm1.f64 (*.f64 (PI.f64) (*.f64 f #s(literal -1/2 binary64)))))))) #s(literal -4 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (log.f64 (+.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 (*.f64 (PI.f64) f) #s(literal 2 binary64)))) (/.f64 #s(literal -1 binary64) (expm1.f64 (*.f64 (PI.f64) (*.f64 f #s(literal -1/2 binary64))))))) (/.f64 (PI.f64) #s(literal -4 binary64)))) #s(literal 1 binary64))))
(/.f64 (log.f64 (+.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 (*.f64 (PI.f64) f) #s(literal 2 binary64)))) (/.f64 #s(literal -1 binary64) (expm1.f64 (*.f64 (PI.f64) (*.f64 f #s(literal -1/2 binary64))))))) (/.f64 (PI.f64) #s(literal -4 binary64)))
(/.f64 #s(literal 4 binary64) (*.f64 (-.f64 #s(literal 0 binary64) (PI.f64)) (/.f64 #s(literal 1 binary64) (log.f64 (+.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 (*.f64 (PI.f64) f) #s(literal 2 binary64)))) (/.f64 #s(literal -1 binary64) (expm1.f64 (*.f64 (PI.f64) (*.f64 f #s(literal -1/2 binary64))))))))))
(/.f64 #s(literal 4 binary64) (neg.f64 (/.f64 (PI.f64) (log.f64 (+.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 (*.f64 (PI.f64) f) #s(literal 2 binary64)))) (/.f64 #s(literal -1 binary64) (expm1.f64 (*.f64 (PI.f64) (*.f64 f #s(literal -1/2 binary64))))))))))
(/.f64 #s(literal 4 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (log.f64 (+.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 (*.f64 (PI.f64) f) #s(literal 2 binary64)))) (/.f64 #s(literal -1 binary64) (expm1.f64 (*.f64 (PI.f64) (*.f64 f #s(literal -1/2 binary64)))))))) (-.f64 #s(literal 0 binary64) (PI.f64))))
(/.f64 (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 (*.f64 (PI.f64) f) #s(literal 2 binary64)))) (/.f64 #s(literal -1 binary64) (expm1.f64 (*.f64 (PI.f64) (*.f64 f #s(literal -1/2 binary64)))))))) (/.f64 (PI.f64) #s(literal 4 binary64)))
(/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (/.f64 #s(literal -1 binary64) (log.f64 (+.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 (*.f64 (PI.f64) f) #s(literal 2 binary64)))) (/.f64 #s(literal -1 binary64) (expm1.f64 (*.f64 (PI.f64) (*.f64 f #s(literal -1/2 binary64)))))))))
(/.f64 (/.f64 (log.f64 (+.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 (*.f64 (PI.f64) f) #s(literal 2 binary64)))) (/.f64 #s(literal -1 binary64) (expm1.f64 (*.f64 (PI.f64) (*.f64 f #s(literal -1/2 binary64))))))) (/.f64 (PI.f64) #s(literal -4 binary64))) #s(literal 1 binary64))
(/.f64 (*.f64 #s(literal -4 binary64) (log.f64 (+.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 (*.f64 (PI.f64) f) #s(literal 2 binary64)))) (/.f64 #s(literal -1 binary64) (expm1.f64 (*.f64 (PI.f64) (*.f64 f #s(literal -1/2 binary64)))))))) (PI.f64))
(/.f64 (*.f64 #s(literal 4 binary64) (log.f64 (+.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 (*.f64 (PI.f64) f) #s(literal 2 binary64)))) (/.f64 #s(literal -1 binary64) (expm1.f64 (*.f64 (PI.f64) (*.f64 f #s(literal -1/2 binary64)))))))) (-.f64 #s(literal 0 binary64) (PI.f64)))
(/.f64 (/.f64 #s(literal -4 binary64) (/.f64 #s(literal 1 binary64) (log.f64 (+.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 (*.f64 (PI.f64) f) #s(literal 2 binary64)))) (/.f64 #s(literal -1 binary64) (expm1.f64 (*.f64 (PI.f64) (*.f64 f #s(literal -1/2 binary64))))))))) (PI.f64))
(/.f64 (neg.f64 (/.f64 (log.f64 (+.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 (*.f64 (PI.f64) f) #s(literal 2 binary64)))) (/.f64 #s(literal -1 binary64) (expm1.f64 (*.f64 (PI.f64) (*.f64 f #s(literal -1/2 binary64))))))) (/.f64 (PI.f64) #s(literal -4 binary64)))) #s(literal -1 binary64))
(/.f64 (neg.f64 (*.f64 #s(literal -4 binary64) (log.f64 (+.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 (*.f64 (PI.f64) f) #s(literal 2 binary64)))) (/.f64 #s(literal -1 binary64) (expm1.f64 (*.f64 (PI.f64) (*.f64 f #s(literal -1/2 binary64))))))))) (-.f64 #s(literal 0 binary64) (PI.f64)))
(/.f64 (neg.f64 (*.f64 #s(literal 4 binary64) (log.f64 (+.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 (*.f64 (PI.f64) f) #s(literal 2 binary64)))) (/.f64 #s(literal -1 binary64) (expm1.f64 (*.f64 (PI.f64) (*.f64 f #s(literal -1/2 binary64))))))))) (neg.f64 (-.f64 #s(literal 0 binary64) (PI.f64))))
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(*.f64 (/.f64 #s(literal 1 binary64) f) (/.f64 #s(literal 4 binary64) (PI.f64)))
(*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/12 binary64)))
(*.f64 #s(literal 1/12 binary64) (*.f64 (PI.f64) (PI.f64)))
(*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/12 binary64))
(*.f64 (*.f64 (PI.f64) #s(literal 1/12 binary64)) (PI.f64))
(*.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/12 binary64)) #s(literal 1 binary64)) (PI.f64))
(*.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/12 binary64)) (pow.f64 (PI.f64) #s(literal 2/3 binary64))) (cbrt.f64 (PI.f64)))
(*.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/12 binary64)) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)))
(log.f64 (exp.f64 (*.f64 (PI.f64) (*.f64 f #s(literal -1/2 binary64)))))
(+.f64 (*.f64 (PI.f64) (*.f64 f #s(literal -1/2 binary64))) #s(literal 0 binary64))
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(fma.f64 (PI.f64) (*.f64 f #s(literal -1/2 binary64)) #s(literal 0 binary64))
(fma.f64 (PI.f64) (log.f64 (exp.f64 (*.f64 f #s(literal -1/2 binary64)))) #s(literal 0 binary64))
(fma.f64 #s(literal 1 binary64) (*.f64 (PI.f64) (*.f64 f #s(literal -1/2 binary64))) #s(literal 0 binary64))
(fma.f64 f (*.f64 (PI.f64) #s(literal -1/2 binary64)) #s(literal 0 binary64))
(fma.f64 f (log.f64 (exp.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)))) #s(literal 0 binary64))
(fma.f64 (*.f64 (PI.f64) f) #s(literal -1/2 binary64) #s(literal 0 binary64))
(fma.f64 #s(literal -1/2 binary64) (*.f64 (PI.f64) f) #s(literal 0 binary64))
(fma.f64 #s(literal -1/2 binary64) (log.f64 (exp.f64 (*.f64 (PI.f64) f))) #s(literal 0 binary64))
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(fma.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) f #s(literal 0 binary64))
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(fma.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) (*.f64 f #s(literal -1/2 binary64))) #s(literal 0 binary64))
(fma.f64 (*.f64 (*.f64 f #s(literal -1/2 binary64)) #s(literal 1 binary64)) (PI.f64) #s(literal 0 binary64))
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(fma.f64 (*.f64 (*.f64 f #s(literal -1/2 binary64)) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) #s(literal 0 binary64))
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(*.f64 #s(literal -1/2 binary64) (log.f64 (exp.f64 (*.f64 (PI.f64) f))))
(*.f64 (*.f64 f #s(literal -1/2 binary64)) (PI.f64))
(*.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) f)
(*.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (*.f64 (cbrt.f64 (PI.f64)) (*.f64 f #s(literal -1/2 binary64))))
(*.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) (*.f64 f #s(literal -1/2 binary64))))
(*.f64 (*.f64 (*.f64 f #s(literal -1/2 binary64)) #s(literal 1 binary64)) (PI.f64))
(*.f64 (*.f64 (*.f64 f #s(literal -1/2 binary64)) (pow.f64 (PI.f64) #s(literal 2/3 binary64))) (cbrt.f64 (PI.f64)))
(*.f64 (*.f64 (*.f64 f #s(literal -1/2 binary64)) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)))

simplify622.0ms (3%)

Memory
-16.8MiB live, 974.4MiB allocated
Algorithm
1×egg-herbie
Rules
16 954×accelerator-lowering-fma.f32
16 954×accelerator-lowering-fma.f64
4 844×+-lowering-+.f64
4 844×+-lowering-+.f32
4 820×*-lowering-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03703543
110543334
239053220
083502988
Stop Event
1×iter limit
1×node limit
Counts
216 → 216
Calls
Call 1
Inputs
(* -4 (/ (+ (log (/ 4 (PI))) (* -1 (log f))) (PI)))
(+ (* -4 (/ (+ (log (/ 4 (PI))) (* -1 (log f))) (PI))) (* -1 (* (pow f 2) (- (+ (* -1/12 (PI)) (* 1/8 (PI))) (+ (* -1/8 (PI)) (* 1/12 (PI)))))))
(+ (* -4 (/ (+ (log (/ 4 (PI))) (* -1 (log f))) (PI))) (* (pow f 2) (+ (* -1 (* f (- (* 1/4 (* (PI) (+ (* -1/12 (PI)) (* 1/8 (PI))))) (* -1/4 (* (PI) (+ (* -1/8 (PI)) (* 1/12 (PI)))))))) (* -1 (- (+ (* -1/12 (PI)) (* 1/8 (PI))) (+ (* -1/8 (PI)) (* 1/12 (PI))))))))
(+ (* -4 (/ (+ (log (/ 4 (PI))) (* -1 (log f))) (PI))) (* (pow f 2) (+ (* -1 (- (+ (* -1/12 (PI)) (* 1/8 (PI))) (+ (* -1/8 (PI)) (* 1/12 (PI))))) (* f (+ (* -1 (- (* 1/4 (* (PI) (+ (* -1/12 (PI)) (* 1/8 (PI))))) (* -1/4 (* (PI) (+ (* -1/8 (PI)) (* 1/12 (PI))))))) (* -1/6 (/ (* f (+ (* -3/4 (* (pow (PI) 2) (pow (- (+ (* -1/12 (PI)) (* 1/8 (PI))) (+ (* -1/8 (PI)) (* 1/12 (PI)))) 2))) (* 6 (* (PI) (- (+ (* -1/24 (* (pow (PI) 2) (+ (* -1/12 (PI)) (* 1/8 (PI))))) (+ (* -1/960 (pow (PI) 3)) (+ (* 1/384 (pow (PI) 3)) (* 1/4 (* (PI) (+ (* -1/48 (pow (PI) 2)) (+ (* 1/96 (pow (PI) 2)) (* 1/4 (* (PI) (+ (* -1/12 (PI)) (* 1/8 (PI)))))))))))) (+ (* -1/4 (* (PI) (+ (* -1/4 (* (PI) (+ (* -1/8 (PI)) (* 1/12 (PI))))) (+ (* -1/48 (pow (PI) 2)) (* 1/96 (pow (PI) 2)))))) (+ (* -1/24 (* (pow (PI) 2) (+ (* -1/8 (PI)) (* 1/12 (PI))))) (+ (* -1/384 (pow (PI) 3)) (* 1/960 (pow (PI) 3)))))))))) (PI))))))))
(* -4 (/ (log (- (/ 1 (- (exp (* 1/2 (* f (PI)))) 1)) (/ 1 (- (exp (* -1/2 (* f (PI)))) 1)))) (PI)))
(* -4 (/ (log (- (/ 1 (- (exp (* 1/2 (* f (PI)))) 1)) (/ 1 (- (exp (* -1/2 (* f (PI)))) 1)))) (PI)))
(* -4 (/ (log (- (/ 1 (- (exp (* 1/2 (* f (PI)))) 1)) (/ 1 (- (exp (* -1/2 (* f (PI)))) 1)))) (PI)))
(* -4 (/ (log (- (/ 1 (- (exp (* 1/2 (* f (PI)))) 1)) (/ 1 (- (exp (* -1/2 (* f (PI)))) 1)))) (PI)))
(* -4 (/ (log (- (/ 1 (- (exp (* 1/2 (* f (PI)))) 1)) (/ 1 (- (exp (* -1/2 (* f (PI)))) 1)))) (PI)))
(* -4 (/ (log (- (/ 1 (- (exp (* 1/2 (* f (PI)))) 1)) (/ 1 (- (exp (* -1/2 (* f (PI)))) 1)))) (PI)))
(* -4 (/ (log (- (/ 1 (- (exp (* 1/2 (* f (PI)))) 1)) (/ 1 (- (exp (* -1/2 (* f (PI)))) 1)))) (PI)))
(* -4 (/ (log (- (/ 1 (- (exp (* 1/2 (* f (PI)))) 1)) (/ 1 (- (exp (* -1/2 (* f (PI)))) 1)))) (PI)))
(/ 1 (+ (log (/ 4 (PI))) (* -1 (log f))))
(+ (* -1/4 (/ (* (pow f 2) (* (PI) (- (+ (* -1/12 (PI)) (* 1/8 (PI))) (+ (* -1/8 (PI)) (* 1/12 (PI)))))) (pow (+ (log (/ 4 (PI))) (* -1 (log f))) 2))) (/ 1 (+ (log (/ 4 (PI))) (* -1 (log f)))))
(+ (* (pow f 2) (- (* -1/4 (/ (* f (* (PI) (- (* 1/4 (* (PI) (+ (* -1/12 (PI)) (* 1/8 (PI))))) (* -1/4 (* (PI) (+ (* -1/8 (PI)) (* 1/12 (PI)))))))) (pow (+ (log (/ 4 (PI))) (* -1 (log f))) 2))) (* 1/4 (/ (* (PI) (- (+ (* -1/12 (PI)) (* 1/8 (PI))) (+ (* -1/8 (PI)) (* 1/12 (PI))))) (pow (+ (log (/ 4 (PI))) (* -1 (log f))) 2))))) (/ 1 (+ (log (/ 4 (PI))) (* -1 (log f)))))
(+ (* (pow f 2) (- (* f (- (* -1 (* f (+ (* -1/16 (/ (* (pow (PI) 2) (pow (- (+ (* -1/12 (PI)) (* 1/8 (PI))) (+ (* -1/8 (PI)) (* 1/12 (PI)))) 2)) (pow (+ (log (/ 4 (PI))) (* -1 (log f))) 3))) (* 1/24 (/ (+ (* -3/4 (* (pow (PI) 2) (pow (- (+ (* -1/12 (PI)) (* 1/8 (PI))) (+ (* -1/8 (PI)) (* 1/12 (PI)))) 2))) (* 6 (* (PI) (- (+ (* -1/24 (* (pow (PI) 2) (+ (* -1/12 (PI)) (* 1/8 (PI))))) (+ (* -1/960 (pow (PI) 3)) (+ (* 1/384 (pow (PI) 3)) (* 1/4 (* (PI) (+ (* -1/48 (pow (PI) 2)) (+ (* 1/96 (pow (PI) 2)) (* 1/4 (* (PI) (+ (* -1/12 (PI)) (* 1/8 (PI)))))))))))) (+ (* -1/4 (* (PI) (+ (* -1/4 (* (PI) (+ (* -1/8 (PI)) (* 1/12 (PI))))) (+ (* -1/48 (pow (PI) 2)) (* 1/96 (pow (PI) 2)))))) (+ (* -1/24 (* (pow (PI) 2) (+ (* -1/8 (PI)) (* 1/12 (PI))))) (+ (* -1/384 (pow (PI) 3)) (* 1/960 (pow (PI) 3))))))))) (pow (+ (log (/ 4 (PI))) (* -1 (log f))) 2)))))) (* 1/4 (/ (* (PI) (- (* 1/4 (* (PI) (+ (* -1/12 (PI)) (* 1/8 (PI))))) (* -1/4 (* (PI) (+ (* -1/8 (PI)) (* 1/12 (PI))))))) (pow (+ (log (/ 4 (PI))) (* -1 (log f))) 2))))) (* 1/4 (/ (* (PI) (- (+ (* -1/12 (PI)) (* 1/8 (PI))) (+ (* -1/8 (PI)) (* 1/12 (PI))))) (pow (+ (log (/ 4 (PI))) (* -1 (log f))) 2))))) (/ 1 (+ (log (/ 4 (PI))) (* -1 (log f)))))
(/ 1 (log (- (/ 1 (- (exp (* 1/2 (* f (PI)))) 1)) (/ 1 (- (exp (* -1/2 (* f (PI)))) 1)))))
(/ 1 (log (- (/ 1 (- (exp (* 1/2 (* f (PI)))) 1)) (/ 1 (- (exp (* -1/2 (* f (PI)))) 1)))))
(/ 1 (log (- (/ 1 (- (exp (* 1/2 (* f (PI)))) 1)) (/ 1 (- (exp (* -1/2 (* f (PI)))) 1)))))
(/ 1 (log (- (/ 1 (- (exp (* 1/2 (* f (PI)))) 1)) (/ 1 (- (exp (* -1/2 (* f (PI)))) 1)))))
(/ 1 (log (- (/ 1 (- (exp (* 1/2 (* f (PI)))) 1)) (/ 1 (- (exp (* -1/2 (* f (PI)))) 1)))))
(/ 1 (log (- (/ 1 (- (exp (* 1/2 (* f (PI)))) 1)) (/ 1 (- (exp (* -1/2 (* f (PI)))) 1)))))
(/ 1 (log (- (/ 1 (- (exp (* 1/2 (* f (PI)))) 1)) (/ 1 (- (exp (* -1/2 (* f (PI)))) 1)))))
(/ 1 (log (- (/ 1 (- (exp (* 1/2 (* f (PI)))) 1)) (/ 1 (- (exp (* -1/2 (* f (PI)))) 1)))))
(* -1/12 (* (pow f 2) (PI)))
(* -1/12 (* (pow f 2) (PI)))
(* -1/12 (* (pow f 2) (PI)))
(* -1/12 (* (pow f 2) (PI)))
(* -1/12 (* (pow f 2) (PI)))
(* -1/12 (* (pow f 2) (PI)))
(* -1/12 (* (pow f 2) (PI)))
(* -1/12 (* (pow f 2) (PI)))
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(+.f64 (-.f64 (log.f64 (/.f64 #s(literal 2 binary64) (PI.f64))) (log.f64 f)) (*.f64 f (+.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) (*.f64 f (*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal -1/48 binary64)) #s(literal 1/2 binary64))))))
(+ (log (/ 2 (PI))) (+ (* -1 (log f)) (* f (+ (* 1/4 (PI)) (* f (+ (* 1/6 (* f (+ (* -3 (* (PI) (+ (* -1/96 (pow (PI) 2)) (+ (* 1/48 (pow (PI) 2)) (* 1/4 (* (PI) (+ (* -1/8 (PI)) (* 1/12 (PI))))))))) (+ (* 1/32 (pow (PI) 3)) (* 3/4 (* (pow (PI) 2) (+ (* -1/8 (PI)) (* 1/12 (PI))))))))) (* 1/2 (+ (* -1 (* (PI) (+ (* -1/8 (PI)) (* 1/12 (PI))))) (* -1/16 (pow (PI) 2))))))))))
(+.f64 (-.f64 (log.f64 (/.f64 #s(literal 2 binary64) (PI.f64))) (log.f64 f)) (*.f64 f (+.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) (*.f64 f (+.f64 (*.f64 (+.f64 (*.f64 #s(literal -3 binary64) (*.f64 (PI.f64) (*.f64 (PI.f64) (+.f64 (*.f64 (PI.f64) #s(literal 1/96 binary64)) (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) #s(literal -1/24 binary64))))))) (*.f64 (*.f64 (PI.f64) (PI.f64)) (+.f64 (*.f64 (PI.f64) #s(literal 1/32 binary64)) (*.f64 (*.f64 (PI.f64) #s(literal -1/24 binary64)) #s(literal 3/4 binary64))))) (*.f64 f #s(literal 1/6 binary64))) (*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal -1/48 binary64)) #s(literal 1/2 binary64)))))))
(log (/ -1 (- (exp (* -1/2 (* f (PI)))) 1)))
(log.f64 (/.f64 #s(literal -1 binary64) (expm1.f64 (*.f64 (PI.f64) (*.f64 f #s(literal -1/2 binary64))))))
(log (/ -1 (- (exp (* -1/2 (* f (PI)))) 1)))
(log.f64 (/.f64 #s(literal -1 binary64) (expm1.f64 (*.f64 (PI.f64) (*.f64 f #s(literal -1/2 binary64))))))
(log (/ -1 (- (exp (* -1/2 (* f (PI)))) 1)))
(log.f64 (/.f64 #s(literal -1 binary64) (expm1.f64 (*.f64 (PI.f64) (*.f64 f #s(literal -1/2 binary64))))))
(log (/ -1 (- (exp (* -1/2 (* f (PI)))) 1)))
(log.f64 (/.f64 #s(literal -1 binary64) (expm1.f64 (*.f64 (PI.f64) (*.f64 f #s(literal -1/2 binary64))))))
(log (/ -1 (- (exp (* -1/2 (* f (PI)))) 1)))
(log.f64 (/.f64 #s(literal -1 binary64) (expm1.f64 (*.f64 (PI.f64) (*.f64 f #s(literal -1/2 binary64))))))
(log (/ -1 (- (exp (* -1/2 (* f (PI)))) 1)))
(log.f64 (/.f64 #s(literal -1 binary64) (expm1.f64 (*.f64 (PI.f64) (*.f64 f #s(literal -1/2 binary64))))))
(log (/ -1 (- (exp (* -1/2 (* f (PI)))) 1)))
(log.f64 (/.f64 #s(literal -1 binary64) (expm1.f64 (*.f64 (PI.f64) (*.f64 f #s(literal -1/2 binary64))))))
(log (/ -1 (- (exp (* -1/2 (* f (PI)))) 1)))
(log.f64 (/.f64 #s(literal -1 binary64) (expm1.f64 (*.f64 (PI.f64) (*.f64 f #s(literal -1/2 binary64))))))
(/ 2 (* f (PI)))
(/.f64 #s(literal 2 binary64) (*.f64 (PI.f64) f))
(/ (+ (* 1/2 f) (* 2 (/ 1 (PI)))) f)
(/.f64 (+.f64 (*.f64 f #s(literal 1/2 binary64)) (/.f64 #s(literal 2 binary64) (PI.f64))) f)
(/ (+ (* f (+ 1/2 (* -1 (* f (+ (* -1/8 (PI)) (* 1/12 (PI))))))) (* 2 (/ 1 (PI)))) f)
(/.f64 (+.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (*.f64 f (+.f64 #s(literal 1/2 binary64) (*.f64 f (*.f64 (PI.f64) #s(literal 1/24 binary64)))))) f)
(/ (+ (* f (+ 1/2 (* f (- (* -1 (* f (+ (* -1/96 (pow (PI) 2)) (+ (* 1/48 (pow (PI) 2)) (* 1/4 (* (PI) (+ (* -1/8 (PI)) (* 1/12 (PI))))))))) (+ (* -1/8 (PI)) (* 1/12 (PI))))))) (* 2 (/ 1 (PI)))) f)
(/.f64 (+.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (*.f64 f (+.f64 #s(literal 1/2 binary64) (*.f64 f (-.f64 (*.f64 (PI.f64) #s(literal 1/24 binary64)) (*.f64 f (*.f64 (PI.f64) (+.f64 (*.f64 (PI.f64) #s(literal 1/96 binary64)) (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) #s(literal -1/24 binary64))))))))))) f)
(/ -1 (- (exp (* -1/2 (* f (PI)))) 1))
(/.f64 #s(literal -1 binary64) (expm1.f64 (*.f64 (PI.f64) (*.f64 f #s(literal -1/2 binary64)))))
(/ -1 (- (exp (* -1/2 (* f (PI)))) 1))
(/.f64 #s(literal -1 binary64) (expm1.f64 (*.f64 (PI.f64) (*.f64 f #s(literal -1/2 binary64)))))
(/ -1 (- (exp (* -1/2 (* f (PI)))) 1))
(/.f64 #s(literal -1 binary64) (expm1.f64 (*.f64 (PI.f64) (*.f64 f #s(literal -1/2 binary64)))))
(/ -1 (- (exp (* -1/2 (* f (PI)))) 1))
(/.f64 #s(literal -1 binary64) (expm1.f64 (*.f64 (PI.f64) (*.f64 f #s(literal -1/2 binary64)))))
(/ -1 (- (exp (* -1/2 (* f (PI)))) 1))
(/.f64 #s(literal -1 binary64) (expm1.f64 (*.f64 (PI.f64) (*.f64 f #s(literal -1/2 binary64)))))
(/ -1 (- (exp (* -1/2 (* f (PI)))) 1))
(/.f64 #s(literal -1 binary64) (expm1.f64 (*.f64 (PI.f64) (*.f64 f #s(literal -1/2 binary64)))))
(/ -1 (- (exp (* -1/2 (* f (PI)))) 1))
(/.f64 #s(literal -1 binary64) (expm1.f64 (*.f64 (PI.f64) (*.f64 f #s(literal -1/2 binary64)))))
(/ -1 (- (exp (* -1/2 (* f (PI)))) 1))
(/.f64 #s(literal -1 binary64) (expm1.f64 (*.f64 (PI.f64) (*.f64 f #s(literal -1/2 binary64)))))
(/ 2 (* f (PI)))
(/.f64 #s(literal 2 binary64) (*.f64 (PI.f64) f))
(/ (+ (* 1/2 f) (* 2 (/ 1 (PI)))) f)
(/.f64 (+.f64 (*.f64 f #s(literal 1/2 binary64)) (/.f64 #s(literal 2 binary64) (PI.f64))) f)
(/ (+ (* f (+ 1/2 (* -1 (* f (+ (* -1/8 (PI)) (* 1/12 (PI))))))) (* 2 (/ 1 (PI)))) f)
(/.f64 (+.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (*.f64 f (+.f64 #s(literal 1/2 binary64) (*.f64 f (*.f64 (PI.f64) #s(literal 1/24 binary64)))))) f)
(/ (+ (* f (+ 1/2 (* f (- (* -1 (* f (+ (* -1/96 (pow (PI) 2)) (+ (* 1/48 (pow (PI) 2)) (* 1/4 (* (PI) (+ (* -1/8 (PI)) (* 1/12 (PI))))))))) (+ (* -1/8 (PI)) (* 1/12 (PI))))))) (* 2 (/ 1 (PI)))) f)
(/.f64 (+.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (*.f64 f (+.f64 #s(literal 1/2 binary64) (*.f64 f (-.f64 (*.f64 (PI.f64) #s(literal 1/24 binary64)) (*.f64 f (*.f64 (PI.f64) (+.f64 (*.f64 (PI.f64) #s(literal 1/96 binary64)) (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) #s(literal -1/24 binary64))))))))))) f)
(/ -1 (- (exp (* -1/2 (* f (PI)))) 1))
(/.f64 #s(literal -1 binary64) (expm1.f64 (*.f64 (PI.f64) (*.f64 f #s(literal -1/2 binary64)))))
(/ -1 (- (exp (* -1/2 (* f (PI)))) 1))
(/.f64 #s(literal -1 binary64) (expm1.f64 (*.f64 (PI.f64) (*.f64 f #s(literal -1/2 binary64)))))
(/ -1 (- (exp (* -1/2 (* f (PI)))) 1))
(/.f64 #s(literal -1 binary64) (expm1.f64 (*.f64 (PI.f64) (*.f64 f #s(literal -1/2 binary64)))))
(/ -1 (- (exp (* -1/2 (* f (PI)))) 1))
(/.f64 #s(literal -1 binary64) (expm1.f64 (*.f64 (PI.f64) (*.f64 f #s(literal -1/2 binary64)))))
(/ -1 (- (exp (* -1/2 (* f (PI)))) 1))
(/.f64 #s(literal -1 binary64) (expm1.f64 (*.f64 (PI.f64) (*.f64 f #s(literal -1/2 binary64)))))
(/ -1 (- (exp (* -1/2 (* f (PI)))) 1))
(/.f64 #s(literal -1 binary64) (expm1.f64 (*.f64 (PI.f64) (*.f64 f #s(literal -1/2 binary64)))))
(/ -1 (- (exp (* -1/2 (* f (PI)))) 1))
(/.f64 #s(literal -1 binary64) (expm1.f64 (*.f64 (PI.f64) (*.f64 f #s(literal -1/2 binary64)))))
(/ -1 (- (exp (* -1/2 (* f (PI)))) 1))
(/.f64 #s(literal -1 binary64) (expm1.f64 (*.f64 (PI.f64) (*.f64 f #s(literal -1/2 binary64)))))
(/ 2 (* f (PI)))
(/.f64 #s(literal 2 binary64) (*.f64 (PI.f64) f))
(/ (+ (* -1/2 f) (* 2 (/ 1 (PI)))) f)
(/.f64 (+.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (*.f64 f #s(literal -1/2 binary64))) f)
(/ (+ (* f (- (* -1 (* f (+ (* -1/8 (PI)) (* 1/12 (PI))))) 1/2)) (* 2 (/ 1 (PI)))) f)
(/.f64 (+.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (*.f64 f (+.f64 #s(literal -1/2 binary64) (*.f64 f (*.f64 (PI.f64) #s(literal 1/24 binary64)))))) f)
(/ (+ (* f (- (* f (- (* -1 (* f (+ (* -1/4 (* (PI) (+ (* -1/8 (PI)) (* 1/12 (PI))))) (+ (* -1/48 (pow (PI) 2)) (* 1/96 (pow (PI) 2)))))) (+ (* -1/8 (PI)) (* 1/12 (PI))))) 1/2)) (* 2 (/ 1 (PI)))) f)
(/.f64 (+.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (*.f64 f (+.f64 #s(literal -1/2 binary64) (*.f64 f (-.f64 (*.f64 (PI.f64) #s(literal 1/24 binary64)) (*.f64 f (*.f64 (PI.f64) (+.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) #s(literal 1/24 binary64))) (*.f64 (PI.f64) #s(literal -1/96 binary64)))))))))) f)
(/ 1 (- (exp (* 1/2 (* f (PI)))) 1))
(/.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (PI.f64) (*.f64 f #s(literal 1/2 binary64)))))
(/ 1 (- (exp (* 1/2 (* f (PI)))) 1))
(/.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (PI.f64) (*.f64 f #s(literal 1/2 binary64)))))
(/ 1 (- (exp (* 1/2 (* f (PI)))) 1))
(/.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (PI.f64) (*.f64 f #s(literal 1/2 binary64)))))
(/ 1 (- (exp (* 1/2 (* f (PI)))) 1))
(/.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (PI.f64) (*.f64 f #s(literal 1/2 binary64)))))
(/ 1 (- (exp (* 1/2 (* f (PI)))) 1))
(/.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (PI.f64) (*.f64 f #s(literal 1/2 binary64)))))
(/ 1 (- (exp (* 1/2 (* f (PI)))) 1))
(/.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (PI.f64) (*.f64 f #s(literal 1/2 binary64)))))
(/ 1 (- (exp (* 1/2 (* f (PI)))) 1))
(/.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (PI.f64) (*.f64 f #s(literal 1/2 binary64)))))
(/ 1 (- (exp (* 1/2 (* f (PI)))) 1))
(/.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (PI.f64) (*.f64 f #s(literal 1/2 binary64)))))
(/ 4 (* f (PI)))
(/.f64 #s(literal 4 binary64) (*.f64 (PI.f64) f))
(/ 4 (* f (PI)))
(/.f64 #s(literal 4 binary64) (*.f64 (PI.f64) f))
(/ 4 (* f (PI)))
(/.f64 #s(literal 4 binary64) (*.f64 (PI.f64) f))
(/ 4 (* f (PI)))
(/.f64 #s(literal 4 binary64) (*.f64 (PI.f64) f))
(/ 4 (* f (PI)))
(/.f64 #s(literal 4 binary64) (*.f64 (PI.f64) f))
(/ 4 (* f (PI)))
(/.f64 #s(literal 4 binary64) (*.f64 (PI.f64) f))
(/ 4 (* f (PI)))
(/.f64 #s(literal 4 binary64) (*.f64 (PI.f64) f))
(/ 4 (* f (PI)))
(/.f64 #s(literal 4 binary64) (*.f64 (PI.f64) f))
(/ 4 (* f (PI)))
(/.f64 #s(literal 4 binary64) (*.f64 (PI.f64) f))
(/ 4 (* f (PI)))
(/.f64 #s(literal 4 binary64) (*.f64 (PI.f64) f))
(/ 4 (* f (PI)))
(/.f64 #s(literal 4 binary64) (*.f64 (PI.f64) f))
(/ 4 (* f (PI)))
(/.f64 #s(literal 4 binary64) (*.f64 (PI.f64) f))
(* -1/2 (* f (PI)))
(*.f64 (PI.f64) (*.f64 f #s(literal -1/2 binary64)))
(* -1/2 (* f (PI)))
(*.f64 (PI.f64) (*.f64 f #s(literal -1/2 binary64)))
(* -1/2 (* f (PI)))
(*.f64 (PI.f64) (*.f64 f #s(literal -1/2 binary64)))
(* -1/2 (* f (PI)))
(*.f64 (PI.f64) (*.f64 f #s(literal -1/2 binary64)))
(* -1/2 (* f (PI)))
(*.f64 (PI.f64) (*.f64 f #s(literal -1/2 binary64)))
(* -1/2 (* f (PI)))
(*.f64 (PI.f64) (*.f64 f #s(literal -1/2 binary64)))
(* -1/2 (* f (PI)))
(*.f64 (PI.f64) (*.f64 f #s(literal -1/2 binary64)))
(* -1/2 (* f (PI)))
(*.f64 (PI.f64) (*.f64 f #s(literal -1/2 binary64)))
(* -1/2 (* f (PI)))
(*.f64 (PI.f64) (*.f64 f #s(literal -1/2 binary64)))
(* -1/2 (* f (PI)))
(*.f64 (PI.f64) (*.f64 f #s(literal -1/2 binary64)))
(* -1/2 (* f (PI)))
(*.f64 (PI.f64) (*.f64 f #s(literal -1/2 binary64)))
(* -1/2 (* f (PI)))
(*.f64 (PI.f64) (*.f64 f #s(literal -1/2 binary64)))

eval184.0ms (0.9%)

Memory
12.6MiB live, 285.1MiB allocated
Compiler

Compiled 29 973 to 4 516 computations (84.9% saved)

prune212.0ms (1%)

Memory
7.1MiB live, 323.5MiB allocated
Pruning

34 alts after pruning (27 fresh and 7 done)

PrunedKeptTotal
New1 316111 327
Fresh11617
Picked145
Done033
Total1 318341 352
Accuracy
100.0%
Counts
1 352 → 34
Alt Table
Click to see full alt table
StatusAccuracyProgram
98.6%
(/.f64 (/.f64 (log.f64 (+.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 (*.f64 (PI.f64) f) #s(literal 2 binary64)))) (/.f64 #s(literal -1 binary64) (expm1.f64 (*.f64 (PI.f64) (*.f64 f #s(literal -1/2 binary64))))))) (cbrt.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))))) #s(literal -1/4 binary64))
✓99.1%
(/.f64 (/.f64 (log.f64 (+.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 (*.f64 (PI.f64) f) #s(literal 2 binary64)))) (/.f64 #s(literal -1 binary64) (expm1.f64 (*.f64 (PI.f64) (*.f64 f #s(literal -1/2 binary64))))))) (PI.f64)) #s(literal -1/4 binary64))
4.2%
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 48 binary64) (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 f f))))) (/.f64 (PI.f64) #s(literal -4 binary64)))
96.3%
(/.f64 (/.f64 #s(literal -4 binary64) (PI.f64)) (/.f64 #s(literal 1 binary64) (-.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (log.f64 f))))
95.8%
(/.f64 (/.f64 #s(literal -4 binary64) (PI.f64)) (/.f64 #s(literal 1 binary64) (log.f64 (/.f64 #s(literal 4 binary64) (*.f64 (PI.f64) f)))))
✓98.9%
(/.f64 (/.f64 #s(literal -4 binary64) (PI.f64)) (/.f64 #s(literal 1 binary64) (log.f64 (+.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 (*.f64 (PI.f64) f) #s(literal 2 binary64)))) (/.f64 #s(literal -1 binary64) (expm1.f64 (*.f64 (PI.f64) (*.f64 f #s(literal -1/2 binary64)))))))))
95.3%
(/.f64 (*.f64 (*.f64 (log.f64 (*.f64 (/.f64 #s(literal 4 binary64) f) (PI.f64))) (log.f64 (/.f64 #s(literal 4 binary64) (*.f64 (PI.f64) f)))) (/.f64 #s(literal -4 binary64) (PI.f64))) (log.f64 (*.f64 (/.f64 #s(literal 4 binary64) f) (PI.f64))))
96.4%
(/.f64 (*.f64 #s(literal 4 binary64) (log.f64 (/.f64 (*.f64 (PI.f64) f) #s(literal 4 binary64)))) (PI.f64))
4.2%
(/.f64 (*.f64 #s(literal 1/48 binary64) (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 f f)))) (/.f64 (PI.f64) #s(literal -4 binary64)))
✓32.7%
(/.f64 (*.f64 #s(literal -4 binary64) (log.f64 (/.f64 #s(literal -1 binary64) (expm1.f64 (*.f64 f (*.f64 #s(literal -1/2 binary64) (PI.f64))))))) (PI.f64))
96.5%
(/.f64 (log.f64 (/.f64 (/.f64 (-.f64 (/.f64 #s(literal 16 binary64) (*.f64 (PI.f64) (PI.f64))) (*.f64 (*.f64 (*.f64 (PI.f64) (*.f64 f f)) (*.f64 (PI.f64) (*.f64 f f))) #s(literal 1/144 binary64))) (-.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (*.f64 (PI.f64) (*.f64 #s(literal 1/12 binary64) (*.f64 f f))))) f)) (/.f64 (PI.f64) #s(literal -4 binary64)))
96.6%
(/.f64 (log.f64 (/.f64 (+.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (*.f64 (*.f64 f f) (+.f64 (*.f64 (cbrt.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) #s(literal 1/12 binary64)) (*.f64 f (*.f64 f (+.f64 (-.f64 (*.f64 (*.f64 (PI.f64) (+.f64 (*.f64 (*.f64 (PI.f64) #s(literal -1/24 binary64)) #s(literal -1/4 binary64)) (*.f64 (PI.f64) #s(literal -1/96 binary64)))) (*.f64 (PI.f64) #s(literal 1/4 binary64))) (*.f64 (*.f64 (PI.f64) (PI.f64)) (+.f64 (*.f64 (*.f64 (PI.f64) #s(literal -1/24 binary64)) #s(literal -1/24 binary64)) (*.f64 (PI.f64) #s(literal -1/640 binary64))))) (-.f64 (*.f64 (*.f64 (PI.f64) (+.f64 (*.f64 (*.f64 (PI.f64) #s(literal -1/24 binary64)) #s(literal -1/4 binary64)) (*.f64 (PI.f64) #s(literal -1/96 binary64)))) (*.f64 (PI.f64) #s(literal 1/4 binary64))) (*.f64 (*.f64 (PI.f64) (PI.f64)) (+.f64 (*.f64 (*.f64 (PI.f64) #s(literal -1/24 binary64)) #s(literal -1/24 binary64)) (*.f64 (PI.f64) #s(literal -1/640 binary64))))))))))) f)) (/.f64 (PI.f64) #s(literal -4 binary64)))
96.6%
(/.f64 (log.f64 (/.f64 (+.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (*.f64 (*.f64 f f) (+.f64 (*.f64 (PI.f64) #s(literal 1/12 binary64)) (*.f64 f (*.f64 f (*.f64 (*.f64 (PI.f64) (-.f64 (*.f64 (*.f64 (PI.f64) #s(literal 0 binary64)) (/.f64 (PI.f64) #s(literal 4 binary64))) (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/5760 binary64))))) #s(literal 2 binary64))))))) f)) (/.f64 (PI.f64) #s(literal -4 binary64)))
95.4%
(/.f64 (log.f64 (/.f64 (+.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (*.f64 f #s(literal 1/2 binary64))) f)) (/.f64 (PI.f64) #s(literal -4 binary64)))
✓96.5%
(/.f64 (log.f64 (/.f64 (+.f64 (*.f64 (*.f64 f f) (*.f64 (PI.f64) #s(literal 1/12 binary64))) (/.f64 #s(literal 4 binary64) (PI.f64))) f)) (/.f64 (PI.f64) #s(literal -4 binary64)))
95.5%
(/.f64 (log.f64 (/.f64 #s(literal 4 binary64) (*.f64 (PI.f64) f))) (/.f64 (cbrt.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) #s(literal -4 binary64)))
95.4%
(/.f64 (log.f64 (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 (PI.f64) f)) (/.f64 (+.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (*.f64 f #s(literal 1/2 binary64))) f))) (/.f64 (PI.f64) #s(literal -4 binary64)))
1.6%
(/.f64 (log.f64 (*.f64 (PI.f64) (*.f64 f #s(literal 1/12 binary64)))) (/.f64 (PI.f64) #s(literal -4 binary64)))
47.2%
(/.f64 (log.f64 (*.f64 f (+.f64 (*.f64 (PI.f64) #s(literal 1/12 binary64)) (/.f64 #s(literal 4 binary64) (*.f64 (PI.f64) (*.f64 f f)))))) (/.f64 (PI.f64) #s(literal -4 binary64)))
✓95.9%
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (PI.f64) #s(literal -4 binary64)) (log.f64 (/.f64 #s(literal 4 binary64) (*.f64 (PI.f64) f)))))
96.2%
(/.f64 #s(literal 1 binary64) (*.f64 (PI.f64) (/.f64 #s(literal 1/4 binary64) (log.f64 (/.f64 (*.f64 (PI.f64) f) #s(literal 4 binary64))))))
4.2%
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal 12 binary64) (*.f64 (PI.f64) (*.f64 f f))))
96.2%
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 (PI.f64) #s(literal -4 binary64)) (/.f64 #s(literal -1 binary64) (+.f64 (*.f64 #s(literal 1/48 binary64) (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 f f)))) (log.f64 (/.f64 #s(literal 4 binary64) (*.f64 (PI.f64) f)))))))
96.3%
(-.f64 (/.f64 (log.f64 #s(literal 4 binary64)) (/.f64 (PI.f64) #s(literal -4 binary64))) (/.f64 (log.f64 (*.f64 (PI.f64) f)) (/.f64 (PI.f64) #s(literal -4 binary64))))
96.3%
(*.f64 (-.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (log.f64 f)) (/.f64 #s(literal -4 binary64) (PI.f64)))
96.3%
(*.f64 (+.f64 (log.f64 (/.f64 f #s(literal 4 binary64))) (log.f64 (PI.f64))) (/.f64 #s(literal 4 binary64) (PI.f64)))
4.2%
(*.f64 (*.f64 (*.f64 (PI.f64) #s(literal -1/12 binary64)) f) f)
4.2%
(*.f64 (*.f64 (PI.f64) f) (*.f64 f #s(literal -1/12 binary64)))
4.2%
(*.f64 (*.f64 (PI.f64) #s(literal -1/12 binary64)) (*.f64 f f))
4.2%
(*.f64 (*.f64 #s(literal -1/12 binary64) (*.f64 (PI.f64) f)) f)
4.2%
(*.f64 (*.f64 #s(literal -1/12 binary64) (*.f64 f f)) (PI.f64))
✓96.3%
(*.f64 (log.f64 (/.f64 (*.f64 (PI.f64) f) #s(literal 4 binary64))) (/.f64 #s(literal 4 binary64) (PI.f64)))
4.2%
(*.f64 #s(literal -1/12 binary64) (*.f64 (*.f64 (PI.f64) f) f))
✓4.2%
(*.f64 #s(literal -1/12 binary64) (*.f64 (PI.f64) (*.f64 f f)))
Compiler

Compiled 1 905 to 731 computations (61.6% saved)

regimes113.0ms (0.5%)

Memory
12.0MiB live, 126.2MiB allocated
Counts
52 → 1
Calls
Call 1
Inputs
(*.f64 #s(literal -1/12 binary64) (*.f64 (PI.f64) (*.f64 f f)))
(*.f64 #s(literal -1/12 binary64) (*.f64 (*.f64 (PI.f64) f) f))
(*.f64 (*.f64 #s(literal -1/12 binary64) (*.f64 f f)) (PI.f64))
(*.f64 (*.f64 #s(literal -1/12 binary64) (*.f64 (PI.f64) f)) f)
(*.f64 (*.f64 (PI.f64) #s(literal -1/12 binary64)) (*.f64 f f))
(*.f64 (*.f64 (PI.f64) f) (*.f64 f #s(literal -1/12 binary64)))
(*.f64 (*.f64 (*.f64 (PI.f64) #s(literal -1/12 binary64)) f) f)
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal 12 binary64) (*.f64 (PI.f64) (*.f64 f f))))
(/.f64 (*.f64 #s(literal 1/48 binary64) (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 f f)))) (/.f64 (PI.f64) #s(literal -4 binary64)))
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 48 binary64) (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 f f))))) (/.f64 (PI.f64) #s(literal -4 binary64)))
(*.f64 (log.f64 (/.f64 (*.f64 (PI.f64) f) #s(literal 4 binary64))) (/.f64 #s(literal 4 binary64) (PI.f64)))
(/.f64 (log.f64 (*.f64 (PI.f64) (*.f64 f #s(literal 1/12 binary64)))) (/.f64 (PI.f64) #s(literal -4 binary64)))
(/.f64 (log.f64 (/.f64 #s(literal 4 binary64) (*.f64 (PI.f64) f))) (/.f64 (PI.f64) #s(literal -4 binary64)))
(/.f64 (log.f64 (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f)) (/.f64 (PI.f64) #s(literal -4 binary64)))
(/.f64 (*.f64 #s(literal 4 binary64) (log.f64 (/.f64 (*.f64 (PI.f64) f) #s(literal 4 binary64)))) (PI.f64))
(/.f64 #s(literal 1 binary64) (*.f64 (PI.f64) (/.f64 #s(literal 1/4 binary64) (log.f64 (/.f64 (*.f64 (PI.f64) f) #s(literal 4 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (PI.f64) #s(literal -4 binary64)) (log.f64 (/.f64 #s(literal 4 binary64) (*.f64 (PI.f64) f)))))
(/.f64 (/.f64 #s(literal -4 binary64) (PI.f64)) (/.f64 #s(literal 1 binary64) (log.f64 (/.f64 #s(literal 4 binary64) (*.f64 (PI.f64) f)))))
(/.f64 (log.f64 (/.f64 (+.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (*.f64 f #s(literal 1/2 binary64))) f)) (/.f64 (PI.f64) #s(literal -4 binary64)))
(/.f64 (log.f64 (*.f64 f (+.f64 (*.f64 (PI.f64) #s(literal 1/12 binary64)) (/.f64 #s(literal 4 binary64) (*.f64 (PI.f64) (*.f64 f f)))))) (/.f64 (PI.f64) #s(literal -4 binary64)))
(/.f64 (log.f64 (/.f64 (+.f64 (*.f64 (*.f64 f f) (*.f64 (PI.f64) #s(literal 1/12 binary64))) (/.f64 #s(literal 4 binary64) (PI.f64))) f)) (/.f64 (PI.f64) #s(literal -4 binary64)))
(/.f64 (log.f64 (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 (PI.f64) f)) (/.f64 (+.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (*.f64 f #s(literal 1/2 binary64))) f))) (/.f64 (PI.f64) #s(literal -4 binary64)))
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 (PI.f64) #s(literal -4 binary64)) (/.f64 #s(literal -1 binary64) (+.f64 (*.f64 #s(literal 1/48 binary64) (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 f f)))) (log.f64 (/.f64 #s(literal 4 binary64) (*.f64 (PI.f64) f)))))))
(/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (/.f64 #s(literal -1 binary64) (+.f64 (*.f64 (*.f64 #s(literal 1/12 binary64) (*.f64 (PI.f64) (PI.f64))) (*.f64 (*.f64 f f) #s(literal 1/4 binary64))) (log.f64 (/.f64 #s(literal 4 binary64) (*.f64 (PI.f64) f))))))
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 (PI.f64) #s(literal -4 binary64)) (/.f64 #s(literal -1 binary64) (+.f64 (*.f64 (*.f64 #s(literal 1/12 binary64) (*.f64 (PI.f64) (PI.f64))) (*.f64 (*.f64 f f) #s(literal 1/4 binary64))) (log.f64 (/.f64 #s(literal 4 binary64) (*.f64 (PI.f64) f)))))))
(/.f64 (log.f64 (/.f64 (/.f64 (-.f64 (/.f64 #s(literal 16 binary64) (*.f64 (PI.f64) (PI.f64))) (*.f64 (*.f64 (*.f64 (PI.f64) (*.f64 f f)) (*.f64 (PI.f64) (*.f64 f f))) #s(literal 1/144 binary64))) (-.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (*.f64 (PI.f64) (*.f64 #s(literal 1/12 binary64) (*.f64 f f))))) f)) (/.f64 (PI.f64) #s(literal -4 binary64)))
(/.f64 (log.f64 (/.f64 (+.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (*.f64 (*.f64 f f) (+.f64 (*.f64 (PI.f64) #s(literal 1/12 binary64)) (*.f64 f (*.f64 f (*.f64 (*.f64 (PI.f64) (-.f64 (*.f64 (*.f64 (PI.f64) #s(literal 0 binary64)) (/.f64 (PI.f64) #s(literal 4 binary64))) (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/5760 binary64))))) #s(literal 2 binary64))))))) f)) (/.f64 (PI.f64) #s(literal -4 binary64)))
(/.f64 (log.f64 (/.f64 (+.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (*.f64 (*.f64 f f) (+.f64 (*.f64 (PI.f64) #s(literal 1/12 binary64)) (*.f64 f (*.f64 f (+.f64 (-.f64 (*.f64 (*.f64 (PI.f64) (+.f64 (*.f64 (*.f64 (PI.f64) #s(literal -1/24 binary64)) #s(literal -1/4 binary64)) (*.f64 (PI.f64) #s(literal -1/96 binary64)))) (*.f64 (PI.f64) #s(literal 1/4 binary64))) (*.f64 (*.f64 (PI.f64) (PI.f64)) (+.f64 (*.f64 (*.f64 (PI.f64) #s(literal -1/24 binary64)) #s(literal -1/24 binary64)) (*.f64 (PI.f64) #s(literal -1/640 binary64))))) (-.f64 (*.f64 (*.f64 (PI.f64) (+.f64 (*.f64 (*.f64 (PI.f64) #s(literal -1/24 binary64)) #s(literal -1/4 binary64)) (*.f64 (PI.f64) #s(literal -1/96 binary64)))) (*.f64 (PI.f64) #s(literal 1/4 binary64))) (*.f64 (*.f64 (PI.f64) (PI.f64)) (+.f64 (*.f64 (*.f64 (PI.f64) #s(literal -1/24 binary64)) #s(literal -1/24 binary64)) (*.f64 (PI.f64) #s(literal -1/640 binary64))))))))))) f)) (/.f64 (PI.f64) #s(literal -4 binary64)))
(*.f64 (+.f64 (log.f64 (/.f64 f #s(literal 4 binary64))) (log.f64 (PI.f64))) (/.f64 #s(literal 4 binary64) (PI.f64)))
(*.f64 (-.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (log.f64 f)) (/.f64 #s(literal -4 binary64) (PI.f64)))
(/.f64 (-.f64 (log.f64 (/.f64 #s(literal 4 binary64) f)) (log.f64 (PI.f64))) (/.f64 (PI.f64) #s(literal -4 binary64)))
(/.f64 (*.f64 #s(literal -4 binary64) (log.f64 (/.f64 #s(literal -1 binary64) (expm1.f64 (*.f64 f (*.f64 #s(literal -1/2 binary64) (PI.f64))))))) (PI.f64))
(/.f64 (/.f64 #s(literal -4 binary64) (PI.f64)) (/.f64 #s(literal 1 binary64) (-.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (log.f64 f))))
(-.f64 (/.f64 (log.f64 #s(literal 4 binary64)) (/.f64 (PI.f64) #s(literal -4 binary64))) (/.f64 (log.f64 (*.f64 (PI.f64) f)) (/.f64 (PI.f64) #s(literal -4 binary64))))
(/.f64 (log.f64 (/.f64 #s(literal 4 binary64) (*.f64 (PI.f64) f))) (/.f64 (cbrt.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) #s(literal -4 binary64)))
(/.f64 (log.f64 (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 (PI.f64) f)) (/.f64 #s(literal -1 binary64) (expm1.f64 (*.f64 (PI.f64) (*.f64 f #s(literal -1/2 binary64))))))) (/.f64 (PI.f64) #s(literal -4 binary64)))
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (+.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (*.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/12 binary64))) f) f))) (log.f64 f)))) (/.f64 (PI.f64) #s(literal -4 binary64)))
(/.f64 (log.f64 (/.f64 (+.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (*.f64 (*.f64 f f) (+.f64 (*.f64 (cbrt.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) #s(literal 1/12 binary64)) (*.f64 f (*.f64 f (+.f64 (-.f64 (*.f64 (*.f64 (PI.f64) (+.f64 (*.f64 (*.f64 (PI.f64) #s(literal -1/24 binary64)) #s(literal -1/4 binary64)) (*.f64 (PI.f64) #s(literal -1/96 binary64)))) (*.f64 (PI.f64) #s(literal 1/4 binary64))) (*.f64 (*.f64 (PI.f64) (PI.f64)) (+.f64 (*.f64 (*.f64 (PI.f64) #s(literal -1/24 binary64)) #s(literal -1/24 binary64)) (*.f64 (PI.f64) #s(literal -1/640 binary64))))) (-.f64 (*.f64 (*.f64 (PI.f64) (+.f64 (*.f64 (*.f64 (PI.f64) #s(literal -1/24 binary64)) #s(literal -1/4 binary64)) (*.f64 (PI.f64) #s(literal -1/96 binary64)))) (*.f64 (PI.f64) #s(literal 1/4 binary64))) (*.f64 (*.f64 (PI.f64) (PI.f64)) (+.f64 (*.f64 (*.f64 (PI.f64) #s(literal -1/24 binary64)) #s(literal -1/24 binary64)) (*.f64 (PI.f64) #s(literal -1/640 binary64))))))))))) f)) (/.f64 (PI.f64) #s(literal -4 binary64)))
(/.f64 #s(literal -4 binary64) (/.f64 (PI.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 (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 -4 binary64)))
(/.f64 (/.f64 (log.f64 (+.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 (*.f64 (PI.f64) f) #s(literal 2 binary64)))) (/.f64 #s(literal -1 binary64) (expm1.f64 (*.f64 (PI.f64) (*.f64 f #s(literal -1/2 binary64))))))) (PI.f64)) #s(literal -1/4 binary64))
(/.f64 (*.f64 (*.f64 (log.f64 (*.f64 (/.f64 #s(literal 4 binary64) f) (PI.f64))) (log.f64 (/.f64 #s(literal 4 binary64) (*.f64 (PI.f64) f)))) (/.f64 #s(literal -4 binary64) (PI.f64))) (log.f64 (*.f64 (/.f64 #s(literal 4 binary64) f) (PI.f64))))
(/.f64 (/.f64 #s(literal -4 binary64) (PI.f64)) (/.f64 #s(literal 1 binary64) (log.f64 (+.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 (*.f64 (PI.f64) f) #s(literal 2 binary64)))) (/.f64 #s(literal -1 binary64) (expm1.f64 (*.f64 (PI.f64) (*.f64 f #s(literal -1/2 binary64)))))))))
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (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 -4 binary64)))
(/.f64 (/.f64 (log.f64 (+.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 (*.f64 (PI.f64) f) #s(literal 2 binary64)))) (/.f64 #s(literal -1 binary64) (expm1.f64 (*.f64 (PI.f64) (*.f64 f #s(literal -1/2 binary64))))))) (cbrt.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))))) #s(literal -1/4 binary64))
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (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 (cbrt.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) #s(literal -4 binary64)))
(/.f64 (log.f64 (+.f64 (pow.f64 (pow.f64 (expm1.f64 (*.f64 (PI.f64) (*.f64 f #s(literal 1/2 binary64)))) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (/.f64 #s(literal -1 binary64) (expm1.f64 (*.f64 (PI.f64) (*.f64 f #s(literal -1/2 binary64))))))) (/.f64 (PI.f64) #s(literal -4 binary64)))
(*.f64 (/.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))))))) (sqrt.f64 (PI.f64))) (/.f64 #s(literal -4 binary64) (sqrt.f64 (PI.f64))))
(*.f64 (/.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))))))) (pow.f64 (PI.f64) #s(literal 2/3 binary64))) (/.f64 #s(literal -4 binary64) (cbrt.f64 (PI.f64))))
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))))))
(/.f64 (/.f64 (-.f64 (pow.f64 (log.f64 #s(literal 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 4 binary64)) #s(literal 2 binary64)) (+.f64 (pow.f64 (log.f64 (*.f64 (PI.f64) f)) #s(literal 2 binary64)) (*.f64 (log.f64 #s(literal 4 binary64)) (log.f64 (*.f64 (PI.f64) f)))))) (/.f64 (PI.f64) #s(literal -4 binary64)))
(/.f64 (/.f64 (-.f64 (pow.f64 (log.f64 (+.f64 (pow.f64 (expm1.f64 (*.f64 (PI.f64) (*.f64 f #s(literal 1/2 binary64)))) #s(literal -3 binary64)) (pow.f64 (-.f64 #s(literal 0 binary64) (expm1.f64 (*.f64 (PI.f64) (*.f64 f #s(literal -1/2 binary64))))) #s(literal -3 binary64)))) #s(literal 3 binary64)) (pow.f64 (log.f64 (+.f64 (pow.f64 (expm1.f64 (*.f64 (PI.f64) (*.f64 f #s(literal 1/2 binary64)))) #s(literal -2 binary64)) (/.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 #s(literal 0 binary64) (expm1.f64 (*.f64 (PI.f64) (*.f64 f #s(literal -1/2 binary64)))))))) #s(literal 3 binary64))) (+.f64 (*.f64 (log.f64 (+.f64 (pow.f64 (expm1.f64 (*.f64 (PI.f64) (*.f64 f #s(literal 1/2 binary64)))) #s(literal -3 binary64)) (pow.f64 (-.f64 #s(literal 0 binary64) (expm1.f64 (*.f64 (PI.f64) (*.f64 f #s(literal -1/2 binary64))))) #s(literal -3 binary64)))) (log.f64 (+.f64 (pow.f64 (expm1.f64 (*.f64 (PI.f64) (*.f64 f #s(literal 1/2 binary64)))) #s(literal -3 binary64)) (pow.f64 (-.f64 #s(literal 0 binary64) (expm1.f64 (*.f64 (PI.f64) (*.f64 f #s(literal -1/2 binary64))))) #s(literal -3 binary64))))) (+.f64 (*.f64 (log.f64 (+.f64 (pow.f64 (expm1.f64 (*.f64 (PI.f64) (*.f64 f #s(literal 1/2 binary64)))) #s(literal -2 binary64)) (/.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 #s(literal 0 binary64) (expm1.f64 (*.f64 (PI.f64) (*.f64 f #s(literal -1/2 binary64)))))))) (log.f64 (+.f64 (pow.f64 (expm1.f64 (*.f64 (PI.f64) (*.f64 f #s(literal 1/2 binary64)))) #s(literal -2 binary64)) (/.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 #s(literal 0 binary64) (expm1.f64 (*.f64 (PI.f64) (*.f64 f #s(literal -1/2 binary64))))))))) (*.f64 (log.f64 (+.f64 (pow.f64 (expm1.f64 (*.f64 (PI.f64) (*.f64 f #s(literal 1/2 binary64)))) #s(literal -3 binary64)) (pow.f64 (-.f64 #s(literal 0 binary64) (expm1.f64 (*.f64 (PI.f64) (*.f64 f #s(literal -1/2 binary64))))) #s(literal -3 binary64)))) (log.f64 (+.f64 (pow.f64 (expm1.f64 (*.f64 (PI.f64) (*.f64 f #s(literal 1/2 binary64)))) #s(literal -2 binary64)) (/.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 #s(literal 0 binary64) (expm1.f64 (*.f64 (PI.f64) (*.f64 f #s(literal -1/2 binary64)))))))))))) (/.f64 (PI.f64) #s(literal -4 binary64)))
Outputs
(/.f64 (log.f64 (+.f64 (pow.f64 (pow.f64 (expm1.f64 (*.f64 (PI.f64) (*.f64 f #s(literal 1/2 binary64)))) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (/.f64 #s(literal -1 binary64) (expm1.f64 (*.f64 (PI.f64) (*.f64 f #s(literal -1/2 binary64))))))) (/.f64 (PI.f64) #s(literal -4 binary64)))
Calls

6 calls:

34.0ms
f
25.0ms
(*.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)))))))
13.0ms
(*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)
12.0ms
(/.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
99.1%1f
99.1%1(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))))))
99.1%1(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))))))
99.1%1(log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))))
99.1%1(/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))))
99.1%1(*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)
Compiler

Compiled 144 to 60 computations (58.3% saved)

regimes18.0ms (0.1%)

Memory
2.4MiB live, 40.4MiB allocated
Counts
46 → 1
Calls
Call 1
Inputs
(*.f64 #s(literal -1/12 binary64) (*.f64 (PI.f64) (*.f64 f f)))
(*.f64 #s(literal -1/12 binary64) (*.f64 (*.f64 (PI.f64) f) f))
(*.f64 (*.f64 #s(literal -1/12 binary64) (*.f64 f f)) (PI.f64))
(*.f64 (*.f64 #s(literal -1/12 binary64) (*.f64 (PI.f64) f)) f)
(*.f64 (*.f64 (PI.f64) #s(literal -1/12 binary64)) (*.f64 f f))
(*.f64 (*.f64 (PI.f64) f) (*.f64 f #s(literal -1/12 binary64)))
(*.f64 (*.f64 (*.f64 (PI.f64) #s(literal -1/12 binary64)) f) f)
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal 12 binary64) (*.f64 (PI.f64) (*.f64 f f))))
(/.f64 (*.f64 #s(literal 1/48 binary64) (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 f f)))) (/.f64 (PI.f64) #s(literal -4 binary64)))
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 48 binary64) (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 f f))))) (/.f64 (PI.f64) #s(literal -4 binary64)))
(*.f64 (log.f64 (/.f64 (*.f64 (PI.f64) f) #s(literal 4 binary64))) (/.f64 #s(literal 4 binary64) (PI.f64)))
(/.f64 (log.f64 (*.f64 (PI.f64) (*.f64 f #s(literal 1/12 binary64)))) (/.f64 (PI.f64) #s(literal -4 binary64)))
(/.f64 (log.f64 (/.f64 #s(literal 4 binary64) (*.f64 (PI.f64) f))) (/.f64 (PI.f64) #s(literal -4 binary64)))
(/.f64 (log.f64 (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f)) (/.f64 (PI.f64) #s(literal -4 binary64)))
(/.f64 (*.f64 #s(literal 4 binary64) (log.f64 (/.f64 (*.f64 (PI.f64) f) #s(literal 4 binary64)))) (PI.f64))
(/.f64 #s(literal 1 binary64) (*.f64 (PI.f64) (/.f64 #s(literal 1/4 binary64) (log.f64 (/.f64 (*.f64 (PI.f64) f) #s(literal 4 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (PI.f64) #s(literal -4 binary64)) (log.f64 (/.f64 #s(literal 4 binary64) (*.f64 (PI.f64) f)))))
(/.f64 (/.f64 #s(literal -4 binary64) (PI.f64)) (/.f64 #s(literal 1 binary64) (log.f64 (/.f64 #s(literal 4 binary64) (*.f64 (PI.f64) f)))))
(/.f64 (log.f64 (/.f64 (+.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (*.f64 f #s(literal 1/2 binary64))) f)) (/.f64 (PI.f64) #s(literal -4 binary64)))
(/.f64 (log.f64 (*.f64 f (+.f64 (*.f64 (PI.f64) #s(literal 1/12 binary64)) (/.f64 #s(literal 4 binary64) (*.f64 (PI.f64) (*.f64 f f)))))) (/.f64 (PI.f64) #s(literal -4 binary64)))
(/.f64 (log.f64 (/.f64 (+.f64 (*.f64 (*.f64 f f) (*.f64 (PI.f64) #s(literal 1/12 binary64))) (/.f64 #s(literal 4 binary64) (PI.f64))) f)) (/.f64 (PI.f64) #s(literal -4 binary64)))
(/.f64 (log.f64 (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 (PI.f64) f)) (/.f64 (+.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (*.f64 f #s(literal 1/2 binary64))) f))) (/.f64 (PI.f64) #s(literal -4 binary64)))
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 (PI.f64) #s(literal -4 binary64)) (/.f64 #s(literal -1 binary64) (+.f64 (*.f64 #s(literal 1/48 binary64) (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 f f)))) (log.f64 (/.f64 #s(literal 4 binary64) (*.f64 (PI.f64) f)))))))
(/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (/.f64 #s(literal -1 binary64) (+.f64 (*.f64 (*.f64 #s(literal 1/12 binary64) (*.f64 (PI.f64) (PI.f64))) (*.f64 (*.f64 f f) #s(literal 1/4 binary64))) (log.f64 (/.f64 #s(literal 4 binary64) (*.f64 (PI.f64) f))))))
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 (PI.f64) #s(literal -4 binary64)) (/.f64 #s(literal -1 binary64) (+.f64 (*.f64 (*.f64 #s(literal 1/12 binary64) (*.f64 (PI.f64) (PI.f64))) (*.f64 (*.f64 f f) #s(literal 1/4 binary64))) (log.f64 (/.f64 #s(literal 4 binary64) (*.f64 (PI.f64) f)))))))
(/.f64 (log.f64 (/.f64 (/.f64 (-.f64 (/.f64 #s(literal 16 binary64) (*.f64 (PI.f64) (PI.f64))) (*.f64 (*.f64 (*.f64 (PI.f64) (*.f64 f f)) (*.f64 (PI.f64) (*.f64 f f))) #s(literal 1/144 binary64))) (-.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (*.f64 (PI.f64) (*.f64 #s(literal 1/12 binary64) (*.f64 f f))))) f)) (/.f64 (PI.f64) #s(literal -4 binary64)))
(/.f64 (log.f64 (/.f64 (+.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (*.f64 (*.f64 f f) (+.f64 (*.f64 (PI.f64) #s(literal 1/12 binary64)) (*.f64 f (*.f64 f (*.f64 (*.f64 (PI.f64) (-.f64 (*.f64 (*.f64 (PI.f64) #s(literal 0 binary64)) (/.f64 (PI.f64) #s(literal 4 binary64))) (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/5760 binary64))))) #s(literal 2 binary64))))))) f)) (/.f64 (PI.f64) #s(literal -4 binary64)))
(/.f64 (log.f64 (/.f64 (+.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (*.f64 (*.f64 f f) (+.f64 (*.f64 (PI.f64) #s(literal 1/12 binary64)) (*.f64 f (*.f64 f (+.f64 (-.f64 (*.f64 (*.f64 (PI.f64) (+.f64 (*.f64 (*.f64 (PI.f64) #s(literal -1/24 binary64)) #s(literal -1/4 binary64)) (*.f64 (PI.f64) #s(literal -1/96 binary64)))) (*.f64 (PI.f64) #s(literal 1/4 binary64))) (*.f64 (*.f64 (PI.f64) (PI.f64)) (+.f64 (*.f64 (*.f64 (PI.f64) #s(literal -1/24 binary64)) #s(literal -1/24 binary64)) (*.f64 (PI.f64) #s(literal -1/640 binary64))))) (-.f64 (*.f64 (*.f64 (PI.f64) (+.f64 (*.f64 (*.f64 (PI.f64) #s(literal -1/24 binary64)) #s(literal -1/4 binary64)) (*.f64 (PI.f64) #s(literal -1/96 binary64)))) (*.f64 (PI.f64) #s(literal 1/4 binary64))) (*.f64 (*.f64 (PI.f64) (PI.f64)) (+.f64 (*.f64 (*.f64 (PI.f64) #s(literal -1/24 binary64)) #s(literal -1/24 binary64)) (*.f64 (PI.f64) #s(literal -1/640 binary64))))))))))) f)) (/.f64 (PI.f64) #s(literal -4 binary64)))
(*.f64 (+.f64 (log.f64 (/.f64 f #s(literal 4 binary64))) (log.f64 (PI.f64))) (/.f64 #s(literal 4 binary64) (PI.f64)))
(*.f64 (-.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (log.f64 f)) (/.f64 #s(literal -4 binary64) (PI.f64)))
(/.f64 (-.f64 (log.f64 (/.f64 #s(literal 4 binary64) f)) (log.f64 (PI.f64))) (/.f64 (PI.f64) #s(literal -4 binary64)))
(/.f64 (*.f64 #s(literal -4 binary64) (log.f64 (/.f64 #s(literal -1 binary64) (expm1.f64 (*.f64 f (*.f64 #s(literal -1/2 binary64) (PI.f64))))))) (PI.f64))
(/.f64 (/.f64 #s(literal -4 binary64) (PI.f64)) (/.f64 #s(literal 1 binary64) (-.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (log.f64 f))))
(-.f64 (/.f64 (log.f64 #s(literal 4 binary64)) (/.f64 (PI.f64) #s(literal -4 binary64))) (/.f64 (log.f64 (*.f64 (PI.f64) f)) (/.f64 (PI.f64) #s(literal -4 binary64))))
(/.f64 (log.f64 (/.f64 #s(literal 4 binary64) (*.f64 (PI.f64) f))) (/.f64 (cbrt.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) #s(literal -4 binary64)))
(/.f64 (log.f64 (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 (PI.f64) f)) (/.f64 #s(literal -1 binary64) (expm1.f64 (*.f64 (PI.f64) (*.f64 f #s(literal -1/2 binary64))))))) (/.f64 (PI.f64) #s(literal -4 binary64)))
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (+.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (*.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/12 binary64))) f) f))) (log.f64 f)))) (/.f64 (PI.f64) #s(literal -4 binary64)))
(/.f64 (log.f64 (/.f64 (+.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (*.f64 (*.f64 f f) (+.f64 (*.f64 (cbrt.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) #s(literal 1/12 binary64)) (*.f64 f (*.f64 f (+.f64 (-.f64 (*.f64 (*.f64 (PI.f64) (+.f64 (*.f64 (*.f64 (PI.f64) #s(literal -1/24 binary64)) #s(literal -1/4 binary64)) (*.f64 (PI.f64) #s(literal -1/96 binary64)))) (*.f64 (PI.f64) #s(literal 1/4 binary64))) (*.f64 (*.f64 (PI.f64) (PI.f64)) (+.f64 (*.f64 (*.f64 (PI.f64) #s(literal -1/24 binary64)) #s(literal -1/24 binary64)) (*.f64 (PI.f64) #s(literal -1/640 binary64))))) (-.f64 (*.f64 (*.f64 (PI.f64) (+.f64 (*.f64 (*.f64 (PI.f64) #s(literal -1/24 binary64)) #s(literal -1/4 binary64)) (*.f64 (PI.f64) #s(literal -1/96 binary64)))) (*.f64 (PI.f64) #s(literal 1/4 binary64))) (*.f64 (*.f64 (PI.f64) (PI.f64)) (+.f64 (*.f64 (*.f64 (PI.f64) #s(literal -1/24 binary64)) #s(literal -1/24 binary64)) (*.f64 (PI.f64) #s(literal -1/640 binary64))))))))))) f)) (/.f64 (PI.f64) #s(literal -4 binary64)))
(/.f64 #s(literal -4 binary64) (/.f64 (PI.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 (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 -4 binary64)))
(/.f64 (/.f64 (log.f64 (+.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 (*.f64 (PI.f64) f) #s(literal 2 binary64)))) (/.f64 #s(literal -1 binary64) (expm1.f64 (*.f64 (PI.f64) (*.f64 f #s(literal -1/2 binary64))))))) (PI.f64)) #s(literal -1/4 binary64))
(/.f64 (*.f64 (*.f64 (log.f64 (*.f64 (/.f64 #s(literal 4 binary64) f) (PI.f64))) (log.f64 (/.f64 #s(literal 4 binary64) (*.f64 (PI.f64) f)))) (/.f64 #s(literal -4 binary64) (PI.f64))) (log.f64 (*.f64 (/.f64 #s(literal 4 binary64) f) (PI.f64))))
(/.f64 (/.f64 #s(literal -4 binary64) (PI.f64)) (/.f64 #s(literal 1 binary64) (log.f64 (+.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 (*.f64 (PI.f64) f) #s(literal 2 binary64)))) (/.f64 #s(literal -1 binary64) (expm1.f64 (*.f64 (PI.f64) (*.f64 f #s(literal -1/2 binary64)))))))))
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (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 -4 binary64)))
(/.f64 (/.f64 (log.f64 (+.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 (*.f64 (PI.f64) f) #s(literal 2 binary64)))) (/.f64 #s(literal -1 binary64) (expm1.f64 (*.f64 (PI.f64) (*.f64 f #s(literal -1/2 binary64))))))) (cbrt.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))))) #s(literal -1/4 binary64))
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (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 (cbrt.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) #s(literal -4 binary64)))
Outputs
(/.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 -4 binary64)))
Calls

1 calls:

13.0ms
f
Results
AccuracySegmentsBranch
99.1%1f
Compiler

Compiled 2 to 1 computations (50% saved)

regimes16.0ms (0.1%)

Memory
-3.3MiB live, 34.9MiB allocated
Counts
39 → 1
Calls
Call 1
Inputs
(*.f64 #s(literal -1/12 binary64) (*.f64 (PI.f64) (*.f64 f f)))
(*.f64 #s(literal -1/12 binary64) (*.f64 (*.f64 (PI.f64) f) f))
(*.f64 (*.f64 #s(literal -1/12 binary64) (*.f64 f f)) (PI.f64))
(*.f64 (*.f64 #s(literal -1/12 binary64) (*.f64 (PI.f64) f)) f)
(*.f64 (*.f64 (PI.f64) #s(literal -1/12 binary64)) (*.f64 f f))
(*.f64 (*.f64 (PI.f64) f) (*.f64 f #s(literal -1/12 binary64)))
(*.f64 (*.f64 (*.f64 (PI.f64) #s(literal -1/12 binary64)) f) f)
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal 12 binary64) (*.f64 (PI.f64) (*.f64 f f))))
(/.f64 (*.f64 #s(literal 1/48 binary64) (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 f f)))) (/.f64 (PI.f64) #s(literal -4 binary64)))
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 48 binary64) (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 f f))))) (/.f64 (PI.f64) #s(literal -4 binary64)))
(*.f64 (log.f64 (/.f64 (*.f64 (PI.f64) f) #s(literal 4 binary64))) (/.f64 #s(literal 4 binary64) (PI.f64)))
(/.f64 (log.f64 (*.f64 (PI.f64) (*.f64 f #s(literal 1/12 binary64)))) (/.f64 (PI.f64) #s(literal -4 binary64)))
(/.f64 (log.f64 (/.f64 #s(literal 4 binary64) (*.f64 (PI.f64) f))) (/.f64 (PI.f64) #s(literal -4 binary64)))
(/.f64 (log.f64 (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f)) (/.f64 (PI.f64) #s(literal -4 binary64)))
(/.f64 (*.f64 #s(literal 4 binary64) (log.f64 (/.f64 (*.f64 (PI.f64) f) #s(literal 4 binary64)))) (PI.f64))
(/.f64 #s(literal 1 binary64) (*.f64 (PI.f64) (/.f64 #s(literal 1/4 binary64) (log.f64 (/.f64 (*.f64 (PI.f64) f) #s(literal 4 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (PI.f64) #s(literal -4 binary64)) (log.f64 (/.f64 #s(literal 4 binary64) (*.f64 (PI.f64) f)))))
(/.f64 (/.f64 #s(literal -4 binary64) (PI.f64)) (/.f64 #s(literal 1 binary64) (log.f64 (/.f64 #s(literal 4 binary64) (*.f64 (PI.f64) f)))))
(/.f64 (log.f64 (/.f64 (+.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (*.f64 f #s(literal 1/2 binary64))) f)) (/.f64 (PI.f64) #s(literal -4 binary64)))
(/.f64 (log.f64 (*.f64 f (+.f64 (*.f64 (PI.f64) #s(literal 1/12 binary64)) (/.f64 #s(literal 4 binary64) (*.f64 (PI.f64) (*.f64 f f)))))) (/.f64 (PI.f64) #s(literal -4 binary64)))
(/.f64 (log.f64 (/.f64 (+.f64 (*.f64 (*.f64 f f) (*.f64 (PI.f64) #s(literal 1/12 binary64))) (/.f64 #s(literal 4 binary64) (PI.f64))) f)) (/.f64 (PI.f64) #s(literal -4 binary64)))
(/.f64 (log.f64 (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 (PI.f64) f)) (/.f64 (+.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (*.f64 f #s(literal 1/2 binary64))) f))) (/.f64 (PI.f64) #s(literal -4 binary64)))
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 (PI.f64) #s(literal -4 binary64)) (/.f64 #s(literal -1 binary64) (+.f64 (*.f64 #s(literal 1/48 binary64) (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 f f)))) (log.f64 (/.f64 #s(literal 4 binary64) (*.f64 (PI.f64) f)))))))
(/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (/.f64 #s(literal -1 binary64) (+.f64 (*.f64 (*.f64 #s(literal 1/12 binary64) (*.f64 (PI.f64) (PI.f64))) (*.f64 (*.f64 f f) #s(literal 1/4 binary64))) (log.f64 (/.f64 #s(literal 4 binary64) (*.f64 (PI.f64) f))))))
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 (PI.f64) #s(literal -4 binary64)) (/.f64 #s(literal -1 binary64) (+.f64 (*.f64 (*.f64 #s(literal 1/12 binary64) (*.f64 (PI.f64) (PI.f64))) (*.f64 (*.f64 f f) #s(literal 1/4 binary64))) (log.f64 (/.f64 #s(literal 4 binary64) (*.f64 (PI.f64) f)))))))
(/.f64 (log.f64 (/.f64 (/.f64 (-.f64 (/.f64 #s(literal 16 binary64) (*.f64 (PI.f64) (PI.f64))) (*.f64 (*.f64 (*.f64 (PI.f64) (*.f64 f f)) (*.f64 (PI.f64) (*.f64 f f))) #s(literal 1/144 binary64))) (-.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (*.f64 (PI.f64) (*.f64 #s(literal 1/12 binary64) (*.f64 f f))))) f)) (/.f64 (PI.f64) #s(literal -4 binary64)))
(/.f64 (log.f64 (/.f64 (+.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (*.f64 (*.f64 f f) (+.f64 (*.f64 (PI.f64) #s(literal 1/12 binary64)) (*.f64 f (*.f64 f (*.f64 (*.f64 (PI.f64) (-.f64 (*.f64 (*.f64 (PI.f64) #s(literal 0 binary64)) (/.f64 (PI.f64) #s(literal 4 binary64))) (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/5760 binary64))))) #s(literal 2 binary64))))))) f)) (/.f64 (PI.f64) #s(literal -4 binary64)))
(/.f64 (log.f64 (/.f64 (+.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (*.f64 (*.f64 f f) (+.f64 (*.f64 (PI.f64) #s(literal 1/12 binary64)) (*.f64 f (*.f64 f (+.f64 (-.f64 (*.f64 (*.f64 (PI.f64) (+.f64 (*.f64 (*.f64 (PI.f64) #s(literal -1/24 binary64)) #s(literal -1/4 binary64)) (*.f64 (PI.f64) #s(literal -1/96 binary64)))) (*.f64 (PI.f64) #s(literal 1/4 binary64))) (*.f64 (*.f64 (PI.f64) (PI.f64)) (+.f64 (*.f64 (*.f64 (PI.f64) #s(literal -1/24 binary64)) #s(literal -1/24 binary64)) (*.f64 (PI.f64) #s(literal -1/640 binary64))))) (-.f64 (*.f64 (*.f64 (PI.f64) (+.f64 (*.f64 (*.f64 (PI.f64) #s(literal -1/24 binary64)) #s(literal -1/4 binary64)) (*.f64 (PI.f64) #s(literal -1/96 binary64)))) (*.f64 (PI.f64) #s(literal 1/4 binary64))) (*.f64 (*.f64 (PI.f64) (PI.f64)) (+.f64 (*.f64 (*.f64 (PI.f64) #s(literal -1/24 binary64)) #s(literal -1/24 binary64)) (*.f64 (PI.f64) #s(literal -1/640 binary64))))))))))) f)) (/.f64 (PI.f64) #s(literal -4 binary64)))
(*.f64 (+.f64 (log.f64 (/.f64 f #s(literal 4 binary64))) (log.f64 (PI.f64))) (/.f64 #s(literal 4 binary64) (PI.f64)))
(*.f64 (-.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (log.f64 f)) (/.f64 #s(literal -4 binary64) (PI.f64)))
(/.f64 (-.f64 (log.f64 (/.f64 #s(literal 4 binary64) f)) (log.f64 (PI.f64))) (/.f64 (PI.f64) #s(literal -4 binary64)))
(/.f64 (*.f64 #s(literal -4 binary64) (log.f64 (/.f64 #s(literal -1 binary64) (expm1.f64 (*.f64 f (*.f64 #s(literal -1/2 binary64) (PI.f64))))))) (PI.f64))
(/.f64 (/.f64 #s(literal -4 binary64) (PI.f64)) (/.f64 #s(literal 1 binary64) (-.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (log.f64 f))))
(-.f64 (/.f64 (log.f64 #s(literal 4 binary64)) (/.f64 (PI.f64) #s(literal -4 binary64))) (/.f64 (log.f64 (*.f64 (PI.f64) f)) (/.f64 (PI.f64) #s(literal -4 binary64))))
(/.f64 (log.f64 (/.f64 #s(literal 4 binary64) (*.f64 (PI.f64) f))) (/.f64 (cbrt.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) #s(literal -4 binary64)))
(/.f64 (log.f64 (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 (PI.f64) f)) (/.f64 #s(literal -1 binary64) (expm1.f64 (*.f64 (PI.f64) (*.f64 f #s(literal -1/2 binary64))))))) (/.f64 (PI.f64) #s(literal -4 binary64)))
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (+.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (*.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/12 binary64))) f) f))) (log.f64 f)))) (/.f64 (PI.f64) #s(literal -4 binary64)))
(/.f64 (log.f64 (/.f64 (+.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (*.f64 (*.f64 f f) (+.f64 (*.f64 (cbrt.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) #s(literal 1/12 binary64)) (*.f64 f (*.f64 f (+.f64 (-.f64 (*.f64 (*.f64 (PI.f64) (+.f64 (*.f64 (*.f64 (PI.f64) #s(literal -1/24 binary64)) #s(literal -1/4 binary64)) (*.f64 (PI.f64) #s(literal -1/96 binary64)))) (*.f64 (PI.f64) #s(literal 1/4 binary64))) (*.f64 (*.f64 (PI.f64) (PI.f64)) (+.f64 (*.f64 (*.f64 (PI.f64) #s(literal -1/24 binary64)) #s(literal -1/24 binary64)) (*.f64 (PI.f64) #s(literal -1/640 binary64))))) (-.f64 (*.f64 (*.f64 (PI.f64) (+.f64 (*.f64 (*.f64 (PI.f64) #s(literal -1/24 binary64)) #s(literal -1/4 binary64)) (*.f64 (PI.f64) #s(literal -1/96 binary64)))) (*.f64 (PI.f64) #s(literal 1/4 binary64))) (*.f64 (*.f64 (PI.f64) (PI.f64)) (+.f64 (*.f64 (*.f64 (PI.f64) #s(literal -1/24 binary64)) #s(literal -1/24 binary64)) (*.f64 (PI.f64) #s(literal -1/640 binary64))))))))))) f)) (/.f64 (PI.f64) #s(literal -4 binary64)))
(/.f64 #s(literal -4 binary64) (/.f64 (PI.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)))))))))
Outputs
(/.f64 #s(literal -4 binary64) (/.f64 (PI.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)))))))))
Calls

1 calls:

12.0ms
f
Results
AccuracySegmentsBranch
99.0%1f
Compiler

Compiled 2 to 1 computations (50% saved)

regimes57.0ms (0.3%)

Memory
-41.6MiB live, 70.6MiB allocated
Counts
38 → 2
Calls
Call 1
Inputs
(*.f64 #s(literal -1/12 binary64) (*.f64 (PI.f64) (*.f64 f f)))
(*.f64 #s(literal -1/12 binary64) (*.f64 (*.f64 (PI.f64) f) f))
(*.f64 (*.f64 #s(literal -1/12 binary64) (*.f64 f f)) (PI.f64))
(*.f64 (*.f64 #s(literal -1/12 binary64) (*.f64 (PI.f64) f)) f)
(*.f64 (*.f64 (PI.f64) #s(literal -1/12 binary64)) (*.f64 f f))
(*.f64 (*.f64 (PI.f64) f) (*.f64 f #s(literal -1/12 binary64)))
(*.f64 (*.f64 (*.f64 (PI.f64) #s(literal -1/12 binary64)) f) f)
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal 12 binary64) (*.f64 (PI.f64) (*.f64 f f))))
(/.f64 (*.f64 #s(literal 1/48 binary64) (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 f f)))) (/.f64 (PI.f64) #s(literal -4 binary64)))
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 48 binary64) (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 f f))))) (/.f64 (PI.f64) #s(literal -4 binary64)))
(*.f64 (log.f64 (/.f64 (*.f64 (PI.f64) f) #s(literal 4 binary64))) (/.f64 #s(literal 4 binary64) (PI.f64)))
(/.f64 (log.f64 (*.f64 (PI.f64) (*.f64 f #s(literal 1/12 binary64)))) (/.f64 (PI.f64) #s(literal -4 binary64)))
(/.f64 (log.f64 (/.f64 #s(literal 4 binary64) (*.f64 (PI.f64) f))) (/.f64 (PI.f64) #s(literal -4 binary64)))
(/.f64 (log.f64 (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f)) (/.f64 (PI.f64) #s(literal -4 binary64)))
(/.f64 (*.f64 #s(literal 4 binary64) (log.f64 (/.f64 (*.f64 (PI.f64) f) #s(literal 4 binary64)))) (PI.f64))
(/.f64 #s(literal 1 binary64) (*.f64 (PI.f64) (/.f64 #s(literal 1/4 binary64) (log.f64 (/.f64 (*.f64 (PI.f64) f) #s(literal 4 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (PI.f64) #s(literal -4 binary64)) (log.f64 (/.f64 #s(literal 4 binary64) (*.f64 (PI.f64) f)))))
(/.f64 (/.f64 #s(literal -4 binary64) (PI.f64)) (/.f64 #s(literal 1 binary64) (log.f64 (/.f64 #s(literal 4 binary64) (*.f64 (PI.f64) f)))))
(/.f64 (log.f64 (/.f64 (+.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (*.f64 f #s(literal 1/2 binary64))) f)) (/.f64 (PI.f64) #s(literal -4 binary64)))
(/.f64 (log.f64 (*.f64 f (+.f64 (*.f64 (PI.f64) #s(literal 1/12 binary64)) (/.f64 #s(literal 4 binary64) (*.f64 (PI.f64) (*.f64 f f)))))) (/.f64 (PI.f64) #s(literal -4 binary64)))
(/.f64 (log.f64 (/.f64 (+.f64 (*.f64 (*.f64 f f) (*.f64 (PI.f64) #s(literal 1/12 binary64))) (/.f64 #s(literal 4 binary64) (PI.f64))) f)) (/.f64 (PI.f64) #s(literal -4 binary64)))
(/.f64 (log.f64 (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 (PI.f64) f)) (/.f64 (+.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (*.f64 f #s(literal 1/2 binary64))) f))) (/.f64 (PI.f64) #s(literal -4 binary64)))
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 (PI.f64) #s(literal -4 binary64)) (/.f64 #s(literal -1 binary64) (+.f64 (*.f64 #s(literal 1/48 binary64) (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 f f)))) (log.f64 (/.f64 #s(literal 4 binary64) (*.f64 (PI.f64) f)))))))
(/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (/.f64 #s(literal -1 binary64) (+.f64 (*.f64 (*.f64 #s(literal 1/12 binary64) (*.f64 (PI.f64) (PI.f64))) (*.f64 (*.f64 f f) #s(literal 1/4 binary64))) (log.f64 (/.f64 #s(literal 4 binary64) (*.f64 (PI.f64) f))))))
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 (PI.f64) #s(literal -4 binary64)) (/.f64 #s(literal -1 binary64) (+.f64 (*.f64 (*.f64 #s(literal 1/12 binary64) (*.f64 (PI.f64) (PI.f64))) (*.f64 (*.f64 f f) #s(literal 1/4 binary64))) (log.f64 (/.f64 #s(literal 4 binary64) (*.f64 (PI.f64) f)))))))
(/.f64 (log.f64 (/.f64 (/.f64 (-.f64 (/.f64 #s(literal 16 binary64) (*.f64 (PI.f64) (PI.f64))) (*.f64 (*.f64 (*.f64 (PI.f64) (*.f64 f f)) (*.f64 (PI.f64) (*.f64 f f))) #s(literal 1/144 binary64))) (-.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (*.f64 (PI.f64) (*.f64 #s(literal 1/12 binary64) (*.f64 f f))))) f)) (/.f64 (PI.f64) #s(literal -4 binary64)))
(/.f64 (log.f64 (/.f64 (+.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (*.f64 (*.f64 f f) (+.f64 (*.f64 (PI.f64) #s(literal 1/12 binary64)) (*.f64 f (*.f64 f (*.f64 (*.f64 (PI.f64) (-.f64 (*.f64 (*.f64 (PI.f64) #s(literal 0 binary64)) (/.f64 (PI.f64) #s(literal 4 binary64))) (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/5760 binary64))))) #s(literal 2 binary64))))))) f)) (/.f64 (PI.f64) #s(literal -4 binary64)))
(/.f64 (log.f64 (/.f64 (+.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (*.f64 (*.f64 f f) (+.f64 (*.f64 (PI.f64) #s(literal 1/12 binary64)) (*.f64 f (*.f64 f (+.f64 (-.f64 (*.f64 (*.f64 (PI.f64) (+.f64 (*.f64 (*.f64 (PI.f64) #s(literal -1/24 binary64)) #s(literal -1/4 binary64)) (*.f64 (PI.f64) #s(literal -1/96 binary64)))) (*.f64 (PI.f64) #s(literal 1/4 binary64))) (*.f64 (*.f64 (PI.f64) (PI.f64)) (+.f64 (*.f64 (*.f64 (PI.f64) #s(literal -1/24 binary64)) #s(literal -1/24 binary64)) (*.f64 (PI.f64) #s(literal -1/640 binary64))))) (-.f64 (*.f64 (*.f64 (PI.f64) (+.f64 (*.f64 (*.f64 (PI.f64) #s(literal -1/24 binary64)) #s(literal -1/4 binary64)) (*.f64 (PI.f64) #s(literal -1/96 binary64)))) (*.f64 (PI.f64) #s(literal 1/4 binary64))) (*.f64 (*.f64 (PI.f64) (PI.f64)) (+.f64 (*.f64 (*.f64 (PI.f64) #s(literal -1/24 binary64)) #s(literal -1/24 binary64)) (*.f64 (PI.f64) #s(literal -1/640 binary64))))))))))) f)) (/.f64 (PI.f64) #s(literal -4 binary64)))
(*.f64 (+.f64 (log.f64 (/.f64 f #s(literal 4 binary64))) (log.f64 (PI.f64))) (/.f64 #s(literal 4 binary64) (PI.f64)))
(*.f64 (-.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (log.f64 f)) (/.f64 #s(literal -4 binary64) (PI.f64)))
(/.f64 (-.f64 (log.f64 (/.f64 #s(literal 4 binary64) f)) (log.f64 (PI.f64))) (/.f64 (PI.f64) #s(literal -4 binary64)))
(/.f64 (*.f64 #s(literal -4 binary64) (log.f64 (/.f64 #s(literal -1 binary64) (expm1.f64 (*.f64 f (*.f64 #s(literal -1/2 binary64) (PI.f64))))))) (PI.f64))
(/.f64 (/.f64 #s(literal -4 binary64) (PI.f64)) (/.f64 #s(literal 1 binary64) (-.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (log.f64 f))))
(-.f64 (/.f64 (log.f64 #s(literal 4 binary64)) (/.f64 (PI.f64) #s(literal -4 binary64))) (/.f64 (log.f64 (*.f64 (PI.f64) f)) (/.f64 (PI.f64) #s(literal -4 binary64))))
(/.f64 (log.f64 (/.f64 #s(literal 4 binary64) (*.f64 (PI.f64) f))) (/.f64 (cbrt.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) #s(literal -4 binary64)))
(/.f64 (log.f64 (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 (PI.f64) f)) (/.f64 #s(literal -1 binary64) (expm1.f64 (*.f64 (PI.f64) (*.f64 f #s(literal -1/2 binary64))))))) (/.f64 (PI.f64) #s(literal -4 binary64)))
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (+.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (*.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/12 binary64))) f) f))) (log.f64 f)))) (/.f64 (PI.f64) #s(literal -4 binary64)))
(/.f64 (log.f64 (/.f64 (+.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (*.f64 (*.f64 f f) (+.f64 (*.f64 (cbrt.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) #s(literal 1/12 binary64)) (*.f64 f (*.f64 f (+.f64 (-.f64 (*.f64 (*.f64 (PI.f64) (+.f64 (*.f64 (*.f64 (PI.f64) #s(literal -1/24 binary64)) #s(literal -1/4 binary64)) (*.f64 (PI.f64) #s(literal -1/96 binary64)))) (*.f64 (PI.f64) #s(literal 1/4 binary64))) (*.f64 (*.f64 (PI.f64) (PI.f64)) (+.f64 (*.f64 (*.f64 (PI.f64) #s(literal -1/24 binary64)) #s(literal -1/24 binary64)) (*.f64 (PI.f64) #s(literal -1/640 binary64))))) (-.f64 (*.f64 (*.f64 (PI.f64) (+.f64 (*.f64 (*.f64 (PI.f64) #s(literal -1/24 binary64)) #s(literal -1/4 binary64)) (*.f64 (PI.f64) #s(literal -1/96 binary64)))) (*.f64 (PI.f64) #s(literal 1/4 binary64))) (*.f64 (*.f64 (PI.f64) (PI.f64)) (+.f64 (*.f64 (*.f64 (PI.f64) #s(literal -1/24 binary64)) #s(literal -1/24 binary64)) (*.f64 (PI.f64) #s(literal -1/640 binary64))))))))))) f)) (/.f64 (PI.f64) #s(literal -4 binary64)))
Outputs
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (+.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (*.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/12 binary64))) f) f))) (log.f64 f)))) (/.f64 (PI.f64) #s(literal -4 binary64)))
(/.f64 (*.f64 #s(literal -4 binary64) (log.f64 (/.f64 #s(literal -1 binary64) (expm1.f64 (*.f64 f (*.f64 #s(literal -1/2 binary64) (PI.f64))))))) (PI.f64))
Calls

1 calls:

10.0ms
f
Results
AccuracySegmentsBranch
98.7%2f
Compiler

Compiled 2 to 1 computations (50% saved)

regimes13.0ms (0.1%)

Memory
28.3MiB live, 28.3MiB allocated
Counts
36 → 2
Calls
Call 1
Inputs
(*.f64 #s(literal -1/12 binary64) (*.f64 (PI.f64) (*.f64 f f)))
(*.f64 #s(literal -1/12 binary64) (*.f64 (*.f64 (PI.f64) f) f))
(*.f64 (*.f64 #s(literal -1/12 binary64) (*.f64 f f)) (PI.f64))
(*.f64 (*.f64 #s(literal -1/12 binary64) (*.f64 (PI.f64) f)) f)
(*.f64 (*.f64 (PI.f64) #s(literal -1/12 binary64)) (*.f64 f f))
(*.f64 (*.f64 (PI.f64) f) (*.f64 f #s(literal -1/12 binary64)))
(*.f64 (*.f64 (*.f64 (PI.f64) #s(literal -1/12 binary64)) f) f)
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal 12 binary64) (*.f64 (PI.f64) (*.f64 f f))))
(/.f64 (*.f64 #s(literal 1/48 binary64) (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 f f)))) (/.f64 (PI.f64) #s(literal -4 binary64)))
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 48 binary64) (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 f f))))) (/.f64 (PI.f64) #s(literal -4 binary64)))
(*.f64 (log.f64 (/.f64 (*.f64 (PI.f64) f) #s(literal 4 binary64))) (/.f64 #s(literal 4 binary64) (PI.f64)))
(/.f64 (log.f64 (*.f64 (PI.f64) (*.f64 f #s(literal 1/12 binary64)))) (/.f64 (PI.f64) #s(literal -4 binary64)))
(/.f64 (log.f64 (/.f64 #s(literal 4 binary64) (*.f64 (PI.f64) f))) (/.f64 (PI.f64) #s(literal -4 binary64)))
(/.f64 (log.f64 (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f)) (/.f64 (PI.f64) #s(literal -4 binary64)))
(/.f64 (*.f64 #s(literal 4 binary64) (log.f64 (/.f64 (*.f64 (PI.f64) f) #s(literal 4 binary64)))) (PI.f64))
(/.f64 #s(literal 1 binary64) (*.f64 (PI.f64) (/.f64 #s(literal 1/4 binary64) (log.f64 (/.f64 (*.f64 (PI.f64) f) #s(literal 4 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (PI.f64) #s(literal -4 binary64)) (log.f64 (/.f64 #s(literal 4 binary64) (*.f64 (PI.f64) f)))))
(/.f64 (/.f64 #s(literal -4 binary64) (PI.f64)) (/.f64 #s(literal 1 binary64) (log.f64 (/.f64 #s(literal 4 binary64) (*.f64 (PI.f64) f)))))
(/.f64 (log.f64 (/.f64 (+.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (*.f64 f #s(literal 1/2 binary64))) f)) (/.f64 (PI.f64) #s(literal -4 binary64)))
(/.f64 (log.f64 (*.f64 f (+.f64 (*.f64 (PI.f64) #s(literal 1/12 binary64)) (/.f64 #s(literal 4 binary64) (*.f64 (PI.f64) (*.f64 f f)))))) (/.f64 (PI.f64) #s(literal -4 binary64)))
(/.f64 (log.f64 (/.f64 (+.f64 (*.f64 (*.f64 f f) (*.f64 (PI.f64) #s(literal 1/12 binary64))) (/.f64 #s(literal 4 binary64) (PI.f64))) f)) (/.f64 (PI.f64) #s(literal -4 binary64)))
(/.f64 (log.f64 (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 (PI.f64) f)) (/.f64 (+.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (*.f64 f #s(literal 1/2 binary64))) f))) (/.f64 (PI.f64) #s(literal -4 binary64)))
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 (PI.f64) #s(literal -4 binary64)) (/.f64 #s(literal -1 binary64) (+.f64 (*.f64 #s(literal 1/48 binary64) (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 f f)))) (log.f64 (/.f64 #s(literal 4 binary64) (*.f64 (PI.f64) f)))))))
(/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (/.f64 #s(literal -1 binary64) (+.f64 (*.f64 (*.f64 #s(literal 1/12 binary64) (*.f64 (PI.f64) (PI.f64))) (*.f64 (*.f64 f f) #s(literal 1/4 binary64))) (log.f64 (/.f64 #s(literal 4 binary64) (*.f64 (PI.f64) f))))))
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 (PI.f64) #s(literal -4 binary64)) (/.f64 #s(literal -1 binary64) (+.f64 (*.f64 (*.f64 #s(literal 1/12 binary64) (*.f64 (PI.f64) (PI.f64))) (*.f64 (*.f64 f f) #s(literal 1/4 binary64))) (log.f64 (/.f64 #s(literal 4 binary64) (*.f64 (PI.f64) f)))))))
(/.f64 (log.f64 (/.f64 (/.f64 (-.f64 (/.f64 #s(literal 16 binary64) (*.f64 (PI.f64) (PI.f64))) (*.f64 (*.f64 (*.f64 (PI.f64) (*.f64 f f)) (*.f64 (PI.f64) (*.f64 f f))) #s(literal 1/144 binary64))) (-.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (*.f64 (PI.f64) (*.f64 #s(literal 1/12 binary64) (*.f64 f f))))) f)) (/.f64 (PI.f64) #s(literal -4 binary64)))
(/.f64 (log.f64 (/.f64 (+.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (*.f64 (*.f64 f f) (+.f64 (*.f64 (PI.f64) #s(literal 1/12 binary64)) (*.f64 f (*.f64 f (*.f64 (*.f64 (PI.f64) (-.f64 (*.f64 (*.f64 (PI.f64) #s(literal 0 binary64)) (/.f64 (PI.f64) #s(literal 4 binary64))) (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/5760 binary64))))) #s(literal 2 binary64))))))) f)) (/.f64 (PI.f64) #s(literal -4 binary64)))
(/.f64 (log.f64 (/.f64 (+.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (*.f64 (*.f64 f f) (+.f64 (*.f64 (PI.f64) #s(literal 1/12 binary64)) (*.f64 f (*.f64 f (+.f64 (-.f64 (*.f64 (*.f64 (PI.f64) (+.f64 (*.f64 (*.f64 (PI.f64) #s(literal -1/24 binary64)) #s(literal -1/4 binary64)) (*.f64 (PI.f64) #s(literal -1/96 binary64)))) (*.f64 (PI.f64) #s(literal 1/4 binary64))) (*.f64 (*.f64 (PI.f64) (PI.f64)) (+.f64 (*.f64 (*.f64 (PI.f64) #s(literal -1/24 binary64)) #s(literal -1/24 binary64)) (*.f64 (PI.f64) #s(literal -1/640 binary64))))) (-.f64 (*.f64 (*.f64 (PI.f64) (+.f64 (*.f64 (*.f64 (PI.f64) #s(literal -1/24 binary64)) #s(literal -1/4 binary64)) (*.f64 (PI.f64) #s(literal -1/96 binary64)))) (*.f64 (PI.f64) #s(literal 1/4 binary64))) (*.f64 (*.f64 (PI.f64) (PI.f64)) (+.f64 (*.f64 (*.f64 (PI.f64) #s(literal -1/24 binary64)) #s(literal -1/24 binary64)) (*.f64 (PI.f64) #s(literal -1/640 binary64))))))))))) f)) (/.f64 (PI.f64) #s(literal -4 binary64)))
(*.f64 (+.f64 (log.f64 (/.f64 f #s(literal 4 binary64))) (log.f64 (PI.f64))) (/.f64 #s(literal 4 binary64) (PI.f64)))
(*.f64 (-.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (log.f64 f)) (/.f64 #s(literal -4 binary64) (PI.f64)))
(/.f64 (-.f64 (log.f64 (/.f64 #s(literal 4 binary64) f)) (log.f64 (PI.f64))) (/.f64 (PI.f64) #s(literal -4 binary64)))
(/.f64 (*.f64 #s(literal -4 binary64) (log.f64 (/.f64 #s(literal -1 binary64) (expm1.f64 (*.f64 f (*.f64 #s(literal -1/2 binary64) (PI.f64))))))) (PI.f64))
(/.f64 (/.f64 #s(literal -4 binary64) (PI.f64)) (/.f64 #s(literal 1 binary64) (-.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (log.f64 f))))
(-.f64 (/.f64 (log.f64 #s(literal 4 binary64)) (/.f64 (PI.f64) #s(literal -4 binary64))) (/.f64 (log.f64 (*.f64 (PI.f64) f)) (/.f64 (PI.f64) #s(literal -4 binary64))))
(/.f64 (log.f64 (/.f64 #s(literal 4 binary64) (*.f64 (PI.f64) f))) (/.f64 (cbrt.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) #s(literal -4 binary64)))
(/.f64 (log.f64 (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 (PI.f64) f)) (/.f64 #s(literal -1 binary64) (expm1.f64 (*.f64 (PI.f64) (*.f64 f #s(literal -1/2 binary64))))))) (/.f64 (PI.f64) #s(literal -4 binary64)))
Outputs
(/.f64 (log.f64 (/.f64 (+.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (*.f64 (*.f64 f f) (+.f64 (*.f64 (PI.f64) #s(literal 1/12 binary64)) (*.f64 f (*.f64 f (*.f64 (*.f64 (PI.f64) (-.f64 (*.f64 (*.f64 (PI.f64) #s(literal 0 binary64)) (/.f64 (PI.f64) #s(literal 4 binary64))) (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/5760 binary64))))) #s(literal 2 binary64))))))) f)) (/.f64 (PI.f64) #s(literal -4 binary64)))
(/.f64 (*.f64 #s(literal -4 binary64) (log.f64 (/.f64 #s(literal -1 binary64) (expm1.f64 (*.f64 f (*.f64 #s(literal -1/2 binary64) (PI.f64))))))) (PI.f64))
Calls

1 calls:

10.0ms
f
Results
AccuracySegmentsBranch
98.5%2f
Compiler

Compiled 2 to 1 computations (50% saved)

regimes13.0ms (0.1%)

Memory
-10.4MiB live, 26.5MiB allocated
Counts
31 → 1
Calls
Call 1
Inputs
(*.f64 #s(literal -1/12 binary64) (*.f64 (PI.f64) (*.f64 f f)))
(*.f64 #s(literal -1/12 binary64) (*.f64 (*.f64 (PI.f64) f) f))
(*.f64 (*.f64 #s(literal -1/12 binary64) (*.f64 f f)) (PI.f64))
(*.f64 (*.f64 #s(literal -1/12 binary64) (*.f64 (PI.f64) f)) f)
(*.f64 (*.f64 (PI.f64) #s(literal -1/12 binary64)) (*.f64 f f))
(*.f64 (*.f64 (PI.f64) f) (*.f64 f #s(literal -1/12 binary64)))
(*.f64 (*.f64 (*.f64 (PI.f64) #s(literal -1/12 binary64)) f) f)
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal 12 binary64) (*.f64 (PI.f64) (*.f64 f f))))
(/.f64 (*.f64 #s(literal 1/48 binary64) (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 f f)))) (/.f64 (PI.f64) #s(literal -4 binary64)))
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 48 binary64) (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 f f))))) (/.f64 (PI.f64) #s(literal -4 binary64)))
(*.f64 (log.f64 (/.f64 (*.f64 (PI.f64) f) #s(literal 4 binary64))) (/.f64 #s(literal 4 binary64) (PI.f64)))
(/.f64 (log.f64 (*.f64 (PI.f64) (*.f64 f #s(literal 1/12 binary64)))) (/.f64 (PI.f64) #s(literal -4 binary64)))
(/.f64 (log.f64 (/.f64 #s(literal 4 binary64) (*.f64 (PI.f64) f))) (/.f64 (PI.f64) #s(literal -4 binary64)))
(/.f64 (log.f64 (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f)) (/.f64 (PI.f64) #s(literal -4 binary64)))
(/.f64 (*.f64 #s(literal 4 binary64) (log.f64 (/.f64 (*.f64 (PI.f64) f) #s(literal 4 binary64)))) (PI.f64))
(/.f64 #s(literal 1 binary64) (*.f64 (PI.f64) (/.f64 #s(literal 1/4 binary64) (log.f64 (/.f64 (*.f64 (PI.f64) f) #s(literal 4 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (PI.f64) #s(literal -4 binary64)) (log.f64 (/.f64 #s(literal 4 binary64) (*.f64 (PI.f64) f)))))
(/.f64 (/.f64 #s(literal -4 binary64) (PI.f64)) (/.f64 #s(literal 1 binary64) (log.f64 (/.f64 #s(literal 4 binary64) (*.f64 (PI.f64) f)))))
(/.f64 (log.f64 (/.f64 (+.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (*.f64 f #s(literal 1/2 binary64))) f)) (/.f64 (PI.f64) #s(literal -4 binary64)))
(/.f64 (log.f64 (*.f64 f (+.f64 (*.f64 (PI.f64) #s(literal 1/12 binary64)) (/.f64 #s(literal 4 binary64) (*.f64 (PI.f64) (*.f64 f f)))))) (/.f64 (PI.f64) #s(literal -4 binary64)))
(/.f64 (log.f64 (/.f64 (+.f64 (*.f64 (*.f64 f f) (*.f64 (PI.f64) #s(literal 1/12 binary64))) (/.f64 #s(literal 4 binary64) (PI.f64))) f)) (/.f64 (PI.f64) #s(literal -4 binary64)))
(/.f64 (log.f64 (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 (PI.f64) f)) (/.f64 (+.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (*.f64 f #s(literal 1/2 binary64))) f))) (/.f64 (PI.f64) #s(literal -4 binary64)))
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 (PI.f64) #s(literal -4 binary64)) (/.f64 #s(literal -1 binary64) (+.f64 (*.f64 #s(literal 1/48 binary64) (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 f f)))) (log.f64 (/.f64 #s(literal 4 binary64) (*.f64 (PI.f64) f)))))))
(/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (/.f64 #s(literal -1 binary64) (+.f64 (*.f64 (*.f64 #s(literal 1/12 binary64) (*.f64 (PI.f64) (PI.f64))) (*.f64 (*.f64 f f) #s(literal 1/4 binary64))) (log.f64 (/.f64 #s(literal 4 binary64) (*.f64 (PI.f64) f))))))
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 (PI.f64) #s(literal -4 binary64)) (/.f64 #s(literal -1 binary64) (+.f64 (*.f64 (*.f64 #s(literal 1/12 binary64) (*.f64 (PI.f64) (PI.f64))) (*.f64 (*.f64 f f) #s(literal 1/4 binary64))) (log.f64 (/.f64 #s(literal 4 binary64) (*.f64 (PI.f64) f)))))))
(/.f64 (log.f64 (/.f64 (/.f64 (-.f64 (/.f64 #s(literal 16 binary64) (*.f64 (PI.f64) (PI.f64))) (*.f64 (*.f64 (*.f64 (PI.f64) (*.f64 f f)) (*.f64 (PI.f64) (*.f64 f f))) #s(literal 1/144 binary64))) (-.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (*.f64 (PI.f64) (*.f64 #s(literal 1/12 binary64) (*.f64 f f))))) f)) (/.f64 (PI.f64) #s(literal -4 binary64)))
(/.f64 (log.f64 (/.f64 (+.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (*.f64 (*.f64 f f) (+.f64 (*.f64 (PI.f64) #s(literal 1/12 binary64)) (*.f64 f (*.f64 f (*.f64 (*.f64 (PI.f64) (-.f64 (*.f64 (*.f64 (PI.f64) #s(literal 0 binary64)) (/.f64 (PI.f64) #s(literal 4 binary64))) (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/5760 binary64))))) #s(literal 2 binary64))))))) f)) (/.f64 (PI.f64) #s(literal -4 binary64)))
(/.f64 (log.f64 (/.f64 (+.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (*.f64 (*.f64 f f) (+.f64 (*.f64 (PI.f64) #s(literal 1/12 binary64)) (*.f64 f (*.f64 f (+.f64 (-.f64 (*.f64 (*.f64 (PI.f64) (+.f64 (*.f64 (*.f64 (PI.f64) #s(literal -1/24 binary64)) #s(literal -1/4 binary64)) (*.f64 (PI.f64) #s(literal -1/96 binary64)))) (*.f64 (PI.f64) #s(literal 1/4 binary64))) (*.f64 (*.f64 (PI.f64) (PI.f64)) (+.f64 (*.f64 (*.f64 (PI.f64) #s(literal -1/24 binary64)) #s(literal -1/24 binary64)) (*.f64 (PI.f64) #s(literal -1/640 binary64))))) (-.f64 (*.f64 (*.f64 (PI.f64) (+.f64 (*.f64 (*.f64 (PI.f64) #s(literal -1/24 binary64)) #s(literal -1/4 binary64)) (*.f64 (PI.f64) #s(literal -1/96 binary64)))) (*.f64 (PI.f64) #s(literal 1/4 binary64))) (*.f64 (*.f64 (PI.f64) (PI.f64)) (+.f64 (*.f64 (*.f64 (PI.f64) #s(literal -1/24 binary64)) #s(literal -1/24 binary64)) (*.f64 (PI.f64) #s(literal -1/640 binary64))))))))))) f)) (/.f64 (PI.f64) #s(literal -4 binary64)))
(*.f64 (+.f64 (log.f64 (/.f64 f #s(literal 4 binary64))) (log.f64 (PI.f64))) (/.f64 #s(literal 4 binary64) (PI.f64)))
(*.f64 (-.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (log.f64 f)) (/.f64 #s(literal -4 binary64) (PI.f64)))
(/.f64 (-.f64 (log.f64 (/.f64 #s(literal 4 binary64) f)) (log.f64 (PI.f64))) (/.f64 (PI.f64) #s(literal -4 binary64)))
Outputs
(/.f64 (log.f64 (/.f64 (+.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (*.f64 (*.f64 f f) (+.f64 (*.f64 (PI.f64) #s(literal 1/12 binary64)) (*.f64 f (*.f64 f (*.f64 (*.f64 (PI.f64) (-.f64 (*.f64 (*.f64 (PI.f64) #s(literal 0 binary64)) (/.f64 (PI.f64) #s(literal 4 binary64))) (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/5760 binary64))))) #s(literal 2 binary64))))))) f)) (/.f64 (PI.f64) #s(literal -4 binary64)))
Calls

1 calls:

11.0ms
f
Results
AccuracySegmentsBranch
96.6%1f
Compiler

Compiled 2 to 1 computations (50% saved)

regimes10.0ms (0%)

Memory
-16.4MiB live, 22.8MiB allocated
Counts
26 → 1
Calls
Call 1
Inputs
(*.f64 #s(literal -1/12 binary64) (*.f64 (PI.f64) (*.f64 f f)))
(*.f64 #s(literal -1/12 binary64) (*.f64 (*.f64 (PI.f64) f) f))
(*.f64 (*.f64 #s(literal -1/12 binary64) (*.f64 f f)) (PI.f64))
(*.f64 (*.f64 #s(literal -1/12 binary64) (*.f64 (PI.f64) f)) f)
(*.f64 (*.f64 (PI.f64) #s(literal -1/12 binary64)) (*.f64 f f))
(*.f64 (*.f64 (PI.f64) f) (*.f64 f #s(literal -1/12 binary64)))
(*.f64 (*.f64 (*.f64 (PI.f64) #s(literal -1/12 binary64)) f) f)
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal 12 binary64) (*.f64 (PI.f64) (*.f64 f f))))
(/.f64 (*.f64 #s(literal 1/48 binary64) (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 f f)))) (/.f64 (PI.f64) #s(literal -4 binary64)))
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 48 binary64) (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 f f))))) (/.f64 (PI.f64) #s(literal -4 binary64)))
(*.f64 (log.f64 (/.f64 (*.f64 (PI.f64) f) #s(literal 4 binary64))) (/.f64 #s(literal 4 binary64) (PI.f64)))
(/.f64 (log.f64 (*.f64 (PI.f64) (*.f64 f #s(literal 1/12 binary64)))) (/.f64 (PI.f64) #s(literal -4 binary64)))
(/.f64 (log.f64 (/.f64 #s(literal 4 binary64) (*.f64 (PI.f64) f))) (/.f64 (PI.f64) #s(literal -4 binary64)))
(/.f64 (log.f64 (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f)) (/.f64 (PI.f64) #s(literal -4 binary64)))
(/.f64 (*.f64 #s(literal 4 binary64) (log.f64 (/.f64 (*.f64 (PI.f64) f) #s(literal 4 binary64)))) (PI.f64))
(/.f64 #s(literal 1 binary64) (*.f64 (PI.f64) (/.f64 #s(literal 1/4 binary64) (log.f64 (/.f64 (*.f64 (PI.f64) f) #s(literal 4 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (PI.f64) #s(literal -4 binary64)) (log.f64 (/.f64 #s(literal 4 binary64) (*.f64 (PI.f64) f)))))
(/.f64 (/.f64 #s(literal -4 binary64) (PI.f64)) (/.f64 #s(literal 1 binary64) (log.f64 (/.f64 #s(literal 4 binary64) (*.f64 (PI.f64) f)))))
(/.f64 (log.f64 (/.f64 (+.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (*.f64 f #s(literal 1/2 binary64))) f)) (/.f64 (PI.f64) #s(literal -4 binary64)))
(/.f64 (log.f64 (*.f64 f (+.f64 (*.f64 (PI.f64) #s(literal 1/12 binary64)) (/.f64 #s(literal 4 binary64) (*.f64 (PI.f64) (*.f64 f f)))))) (/.f64 (PI.f64) #s(literal -4 binary64)))
(/.f64 (log.f64 (/.f64 (+.f64 (*.f64 (*.f64 f f) (*.f64 (PI.f64) #s(literal 1/12 binary64))) (/.f64 #s(literal 4 binary64) (PI.f64))) f)) (/.f64 (PI.f64) #s(literal -4 binary64)))
(/.f64 (log.f64 (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 (PI.f64) f)) (/.f64 (+.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (*.f64 f #s(literal 1/2 binary64))) f))) (/.f64 (PI.f64) #s(literal -4 binary64)))
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 (PI.f64) #s(literal -4 binary64)) (/.f64 #s(literal -1 binary64) (+.f64 (*.f64 #s(literal 1/48 binary64) (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 f f)))) (log.f64 (/.f64 #s(literal 4 binary64) (*.f64 (PI.f64) f)))))))
(/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (/.f64 #s(literal -1 binary64) (+.f64 (*.f64 (*.f64 #s(literal 1/12 binary64) (*.f64 (PI.f64) (PI.f64))) (*.f64 (*.f64 f f) #s(literal 1/4 binary64))) (log.f64 (/.f64 #s(literal 4 binary64) (*.f64 (PI.f64) f))))))
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 (PI.f64) #s(literal -4 binary64)) (/.f64 #s(literal -1 binary64) (+.f64 (*.f64 (*.f64 #s(literal 1/12 binary64) (*.f64 (PI.f64) (PI.f64))) (*.f64 (*.f64 f f) #s(literal 1/4 binary64))) (log.f64 (/.f64 #s(literal 4 binary64) (*.f64 (PI.f64) f)))))))
(/.f64 (log.f64 (/.f64 (/.f64 (-.f64 (/.f64 #s(literal 16 binary64) (*.f64 (PI.f64) (PI.f64))) (*.f64 (*.f64 (*.f64 (PI.f64) (*.f64 f f)) (*.f64 (PI.f64) (*.f64 f f))) #s(literal 1/144 binary64))) (-.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (*.f64 (PI.f64) (*.f64 #s(literal 1/12 binary64) (*.f64 f f))))) f)) (/.f64 (PI.f64) #s(literal -4 binary64)))
Outputs
(/.f64 (log.f64 (/.f64 (/.f64 (-.f64 (/.f64 #s(literal 16 binary64) (*.f64 (PI.f64) (PI.f64))) (*.f64 (*.f64 (*.f64 (PI.f64) (*.f64 f f)) (*.f64 (PI.f64) (*.f64 f f))) #s(literal 1/144 binary64))) (-.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (*.f64 (PI.f64) (*.f64 #s(literal 1/12 binary64) (*.f64 f f))))) f)) (/.f64 (PI.f64) #s(literal -4 binary64)))
Calls

1 calls:

7.0ms
f
Results
AccuracySegmentsBranch
96.5%1f
Compiler

Compiled 2 to 1 computations (50% saved)

regimes9.0ms (0%)

Memory
21.0MiB live, 20.9MiB allocated
Counts
25 → 1
Calls
Call 1
Inputs
(*.f64 #s(literal -1/12 binary64) (*.f64 (PI.f64) (*.f64 f f)))
(*.f64 #s(literal -1/12 binary64) (*.f64 (*.f64 (PI.f64) f) f))
(*.f64 (*.f64 #s(literal -1/12 binary64) (*.f64 f f)) (PI.f64))
(*.f64 (*.f64 #s(literal -1/12 binary64) (*.f64 (PI.f64) f)) f)
(*.f64 (*.f64 (PI.f64) #s(literal -1/12 binary64)) (*.f64 f f))
(*.f64 (*.f64 (PI.f64) f) (*.f64 f #s(literal -1/12 binary64)))
(*.f64 (*.f64 (*.f64 (PI.f64) #s(literal -1/12 binary64)) f) f)
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal 12 binary64) (*.f64 (PI.f64) (*.f64 f f))))
(/.f64 (*.f64 #s(literal 1/48 binary64) (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 f f)))) (/.f64 (PI.f64) #s(literal -4 binary64)))
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 48 binary64) (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 f f))))) (/.f64 (PI.f64) #s(literal -4 binary64)))
(*.f64 (log.f64 (/.f64 (*.f64 (PI.f64) f) #s(literal 4 binary64))) (/.f64 #s(literal 4 binary64) (PI.f64)))
(/.f64 (log.f64 (*.f64 (PI.f64) (*.f64 f #s(literal 1/12 binary64)))) (/.f64 (PI.f64) #s(literal -4 binary64)))
(/.f64 (log.f64 (/.f64 #s(literal 4 binary64) (*.f64 (PI.f64) f))) (/.f64 (PI.f64) #s(literal -4 binary64)))
(/.f64 (log.f64 (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f)) (/.f64 (PI.f64) #s(literal -4 binary64)))
(/.f64 (*.f64 #s(literal 4 binary64) (log.f64 (/.f64 (*.f64 (PI.f64) f) #s(literal 4 binary64)))) (PI.f64))
(/.f64 #s(literal 1 binary64) (*.f64 (PI.f64) (/.f64 #s(literal 1/4 binary64) (log.f64 (/.f64 (*.f64 (PI.f64) f) #s(literal 4 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (PI.f64) #s(literal -4 binary64)) (log.f64 (/.f64 #s(literal 4 binary64) (*.f64 (PI.f64) f)))))
(/.f64 (/.f64 #s(literal -4 binary64) (PI.f64)) (/.f64 #s(literal 1 binary64) (log.f64 (/.f64 #s(literal 4 binary64) (*.f64 (PI.f64) f)))))
(/.f64 (log.f64 (/.f64 (+.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (*.f64 f #s(literal 1/2 binary64))) f)) (/.f64 (PI.f64) #s(literal -4 binary64)))
(/.f64 (log.f64 (*.f64 f (+.f64 (*.f64 (PI.f64) #s(literal 1/12 binary64)) (/.f64 #s(literal 4 binary64) (*.f64 (PI.f64) (*.f64 f f)))))) (/.f64 (PI.f64) #s(literal -4 binary64)))
(/.f64 (log.f64 (/.f64 (+.f64 (*.f64 (*.f64 f f) (*.f64 (PI.f64) #s(literal 1/12 binary64))) (/.f64 #s(literal 4 binary64) (PI.f64))) f)) (/.f64 (PI.f64) #s(literal -4 binary64)))
(/.f64 (log.f64 (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 (PI.f64) f)) (/.f64 (+.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (*.f64 f #s(literal 1/2 binary64))) f))) (/.f64 (PI.f64) #s(literal -4 binary64)))
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 (PI.f64) #s(literal -4 binary64)) (/.f64 #s(literal -1 binary64) (+.f64 (*.f64 #s(literal 1/48 binary64) (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 f f)))) (log.f64 (/.f64 #s(literal 4 binary64) (*.f64 (PI.f64) f)))))))
(/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (/.f64 #s(literal -1 binary64) (+.f64 (*.f64 (*.f64 #s(literal 1/12 binary64) (*.f64 (PI.f64) (PI.f64))) (*.f64 (*.f64 f f) #s(literal 1/4 binary64))) (log.f64 (/.f64 #s(literal 4 binary64) (*.f64 (PI.f64) f))))))
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 (PI.f64) #s(literal -4 binary64)) (/.f64 #s(literal -1 binary64) (+.f64 (*.f64 (*.f64 #s(literal 1/12 binary64) (*.f64 (PI.f64) (PI.f64))) (*.f64 (*.f64 f f) #s(literal 1/4 binary64))) (log.f64 (/.f64 #s(literal 4 binary64) (*.f64 (PI.f64) f)))))))
Outputs
(/.f64 (log.f64 (/.f64 (+.f64 (*.f64 (*.f64 f f) (*.f64 (PI.f64) #s(literal 1/12 binary64))) (/.f64 #s(literal 4 binary64) (PI.f64))) f)) (/.f64 (PI.f64) #s(literal -4 binary64)))
Calls

1 calls:

7.0ms
f
Results
AccuracySegmentsBranch
96.5%1f
Compiler

Compiled 2 to 1 computations (50% saved)

regimes7.0ms (0%)

Memory
17.8MiB live, 17.8MiB allocated
Counts
20 → 1
Calls
Call 1
Inputs
(*.f64 #s(literal -1/12 binary64) (*.f64 (PI.f64) (*.f64 f f)))
(*.f64 #s(literal -1/12 binary64) (*.f64 (*.f64 (PI.f64) f) f))
(*.f64 (*.f64 #s(literal -1/12 binary64) (*.f64 f f)) (PI.f64))
(*.f64 (*.f64 #s(literal -1/12 binary64) (*.f64 (PI.f64) f)) f)
(*.f64 (*.f64 (PI.f64) #s(literal -1/12 binary64)) (*.f64 f f))
(*.f64 (*.f64 (PI.f64) f) (*.f64 f #s(literal -1/12 binary64)))
(*.f64 (*.f64 (*.f64 (PI.f64) #s(literal -1/12 binary64)) f) f)
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal 12 binary64) (*.f64 (PI.f64) (*.f64 f f))))
(/.f64 (*.f64 #s(literal 1/48 binary64) (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 f f)))) (/.f64 (PI.f64) #s(literal -4 binary64)))
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 48 binary64) (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 f f))))) (/.f64 (PI.f64) #s(literal -4 binary64)))
(*.f64 (log.f64 (/.f64 (*.f64 (PI.f64) f) #s(literal 4 binary64))) (/.f64 #s(literal 4 binary64) (PI.f64)))
(/.f64 (log.f64 (*.f64 (PI.f64) (*.f64 f #s(literal 1/12 binary64)))) (/.f64 (PI.f64) #s(literal -4 binary64)))
(/.f64 (log.f64 (/.f64 #s(literal 4 binary64) (*.f64 (PI.f64) f))) (/.f64 (PI.f64) #s(literal -4 binary64)))
(/.f64 (log.f64 (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f)) (/.f64 (PI.f64) #s(literal -4 binary64)))
(/.f64 (*.f64 #s(literal 4 binary64) (log.f64 (/.f64 (*.f64 (PI.f64) f) #s(literal 4 binary64)))) (PI.f64))
(/.f64 #s(literal 1 binary64) (*.f64 (PI.f64) (/.f64 #s(literal 1/4 binary64) (log.f64 (/.f64 (*.f64 (PI.f64) f) #s(literal 4 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (PI.f64) #s(literal -4 binary64)) (log.f64 (/.f64 #s(literal 4 binary64) (*.f64 (PI.f64) f)))))
(/.f64 (/.f64 #s(literal -4 binary64) (PI.f64)) (/.f64 #s(literal 1 binary64) (log.f64 (/.f64 #s(literal 4 binary64) (*.f64 (PI.f64) f)))))
(/.f64 (log.f64 (/.f64 (+.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (*.f64 f #s(literal 1/2 binary64))) f)) (/.f64 (PI.f64) #s(literal -4 binary64)))
(/.f64 (log.f64 (*.f64 f (+.f64 (*.f64 (PI.f64) #s(literal 1/12 binary64)) (/.f64 #s(literal 4 binary64) (*.f64 (PI.f64) (*.f64 f f)))))) (/.f64 (PI.f64) #s(literal -4 binary64)))
Outputs
(/.f64 (*.f64 #s(literal 4 binary64) (log.f64 (/.f64 (*.f64 (PI.f64) f) #s(literal 4 binary64)))) (PI.f64))
Calls

1 calls:

6.0ms
f
Results
AccuracySegmentsBranch
96.4%1f
Compiler

Compiled 2 to 1 computations (50% saved)

regimes9.0ms (0%)

Memory
-28.1MiB live, 13.9MiB allocated
Counts
14 → 1
Calls
Call 1
Inputs
(*.f64 #s(literal -1/12 binary64) (*.f64 (PI.f64) (*.f64 f f)))
(*.f64 #s(literal -1/12 binary64) (*.f64 (*.f64 (PI.f64) f) f))
(*.f64 (*.f64 #s(literal -1/12 binary64) (*.f64 f f)) (PI.f64))
(*.f64 (*.f64 #s(literal -1/12 binary64) (*.f64 (PI.f64) f)) f)
(*.f64 (*.f64 (PI.f64) #s(literal -1/12 binary64)) (*.f64 f f))
(*.f64 (*.f64 (PI.f64) f) (*.f64 f #s(literal -1/12 binary64)))
(*.f64 (*.f64 (*.f64 (PI.f64) #s(literal -1/12 binary64)) f) f)
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal 12 binary64) (*.f64 (PI.f64) (*.f64 f f))))
(/.f64 (*.f64 #s(literal 1/48 binary64) (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 f f)))) (/.f64 (PI.f64) #s(literal -4 binary64)))
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 48 binary64) (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 f f))))) (/.f64 (PI.f64) #s(literal -4 binary64)))
(*.f64 (log.f64 (/.f64 (*.f64 (PI.f64) f) #s(literal 4 binary64))) (/.f64 #s(literal 4 binary64) (PI.f64)))
(/.f64 (log.f64 (*.f64 (PI.f64) (*.f64 f #s(literal 1/12 binary64)))) (/.f64 (PI.f64) #s(literal -4 binary64)))
(/.f64 (log.f64 (/.f64 #s(literal 4 binary64) (*.f64 (PI.f64) f))) (/.f64 (PI.f64) #s(literal -4 binary64)))
(/.f64 (log.f64 (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f)) (/.f64 (PI.f64) #s(literal -4 binary64)))
Outputs
(*.f64 (log.f64 (/.f64 (*.f64 (PI.f64) f) #s(literal 4 binary64))) (/.f64 #s(literal 4 binary64) (PI.f64)))
Calls

1 calls:

5.0ms
f
Results
AccuracySegmentsBranch
96.3%1f
Compiler

Compiled 2 to 1 computations (50% saved)

regimes4.0ms (0%)

Memory
7.9MiB live, 8.0MiB allocated
Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts
10 → 1
Calls
Call 1
Inputs
(*.f64 #s(literal -1/12 binary64) (*.f64 (PI.f64) (*.f64 f f)))
(*.f64 #s(literal -1/12 binary64) (*.f64 (*.f64 (PI.f64) f) f))
(*.f64 (*.f64 #s(literal -1/12 binary64) (*.f64 f f)) (PI.f64))
(*.f64 (*.f64 #s(literal -1/12 binary64) (*.f64 (PI.f64) f)) f)
(*.f64 (*.f64 (PI.f64) #s(literal -1/12 binary64)) (*.f64 f f))
(*.f64 (*.f64 (PI.f64) f) (*.f64 f #s(literal -1/12 binary64)))
(*.f64 (*.f64 (*.f64 (PI.f64) #s(literal -1/12 binary64)) f) f)
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal 12 binary64) (*.f64 (PI.f64) (*.f64 f f))))
(/.f64 (*.f64 #s(literal 1/48 binary64) (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 f f)))) (/.f64 (PI.f64) #s(literal -4 binary64)))
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 48 binary64) (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 f f))))) (/.f64 (PI.f64) #s(literal -4 binary64)))
Outputs
(*.f64 #s(literal -1/12 binary64) (*.f64 (PI.f64) (*.f64 f f)))
Calls

1 calls:

3.0ms
f
Results
AccuracySegmentsBranch
4.2%1f
Compiler

Compiled 2 to 1 computations (50% saved)

bsearch91.0ms (0.4%)

Memory
13.2MiB live, 88.2MiB allocated
Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
86.0ms
0.9101116222822615
50399.770826597494
Samples
62.0ms64×2valid
18.0ms64×1valid
Compiler

Compiled 393 to 300 computations (23.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 74.0ms
ival-log: 42.0ms (56.9% of total)
ival-exp: 11.0ms (14.9% of total)
ival-div: 6.0ms (8.1% of total)
ival-mult: 4.0ms (5.4% of total)
adjust: 3.0ms (4.1% of total)
ival-neg: 3.0ms (4.1% of total)
ival-pi: 1.0ms (1.4% of total)
ival-sub: 1.0ms (1.4% of total)
ival-add: 1.0ms (1.4% of total)
ival-assert: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

bsearch37.0ms (0.2%)

Memory
-7.3MiB live, 31.3MiB allocated
Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
34.0ms
0.9101116222822615
50399.770826597494
Samples
25.0ms112×0valid
4.0ms16×1valid
Compiler

Compiled 497 to 356 computations (28.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 26.0ms
ival-log: 15.0ms (57.8% of total)
ival-div: 3.0ms (11.6% of total)
ival-exp: 3.0ms (11.6% of total)
ival-mult: 2.0ms (7.7% of total)
ival-pi: 1.0ms (3.9% of total)
ival-sub: 1.0ms (3.9% of total)
ival-add: 1.0ms (3.9% of total)
ival-neg: 1.0ms (3.9% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

simplify33.0ms (0.2%)

Memory
-18.1MiB live, 24.0MiB allocated
Algorithm
1×egg-herbie
Rules
88×*-commutative_binary64
48×+-commutative_binary64
36×sub-neg_binary64
28×neg-sub0_binary64
28×neg-mul-1_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0103292
1157292
2191292
3226292
4249292
5261292
6266292
7267292
Stop Event
1×saturated
Calls
Call 1
Inputs
(/.f64 (log.f64 (+.f64 (pow.f64 (pow.f64 (expm1.f64 (*.f64 (PI.f64) (*.f64 f #s(literal 1/2 binary64)))) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (/.f64 #s(literal -1 binary64) (expm1.f64 (*.f64 (PI.f64) (*.f64 f #s(literal -1/2 binary64))))))) (/.f64 (PI.f64) #s(literal -4 binary64)))
(/.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 -4 binary64)))
(/.f64 #s(literal -4 binary64) (/.f64 (PI.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)))))))))
(if (<=.f64 f #s(literal 230 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (+.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (*.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/12 binary64))) f) f))) (log.f64 f)))) (/.f64 (PI.f64) #s(literal -4 binary64))) (/.f64 (*.f64 #s(literal -4 binary64) (log.f64 (/.f64 #s(literal -1 binary64) (expm1.f64 (*.f64 f (*.f64 #s(literal -1/2 binary64) (PI.f64))))))) (PI.f64)))
(if (<=.f64 f #s(literal 2589569785738035/1125899906842624 binary64)) (/.f64 (log.f64 (/.f64 (+.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (*.f64 (*.f64 f f) (+.f64 (*.f64 (PI.f64) #s(literal 1/12 binary64)) (*.f64 f (*.f64 f (*.f64 (*.f64 (PI.f64) (-.f64 (*.f64 (*.f64 (PI.f64) #s(literal 0 binary64)) (/.f64 (PI.f64) #s(literal 4 binary64))) (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/5760 binary64))))) #s(literal 2 binary64))))))) f)) (/.f64 (PI.f64) #s(literal -4 binary64))) (/.f64 (*.f64 #s(literal -4 binary64) (log.f64 (/.f64 #s(literal -1 binary64) (expm1.f64 (*.f64 f (*.f64 #s(literal -1/2 binary64) (PI.f64))))))) (PI.f64)))
(/.f64 (log.f64 (/.f64 (+.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (*.f64 (*.f64 f f) (+.f64 (*.f64 (PI.f64) #s(literal 1/12 binary64)) (*.f64 f (*.f64 f (*.f64 (*.f64 (PI.f64) (-.f64 (*.f64 (*.f64 (PI.f64) #s(literal 0 binary64)) (/.f64 (PI.f64) #s(literal 4 binary64))) (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/5760 binary64))))) #s(literal 2 binary64))))))) f)) (/.f64 (PI.f64) #s(literal -4 binary64)))
(/.f64 (log.f64 (/.f64 (/.f64 (-.f64 (/.f64 #s(literal 16 binary64) (*.f64 (PI.f64) (PI.f64))) (*.f64 (*.f64 (*.f64 (PI.f64) (*.f64 f f)) (*.f64 (PI.f64) (*.f64 f f))) #s(literal 1/144 binary64))) (-.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (*.f64 (PI.f64) (*.f64 #s(literal 1/12 binary64) (*.f64 f f))))) f)) (/.f64 (PI.f64) #s(literal -4 binary64)))
(/.f64 (log.f64 (/.f64 (+.f64 (*.f64 (*.f64 f f) (*.f64 (PI.f64) #s(literal 1/12 binary64))) (/.f64 #s(literal 4 binary64) (PI.f64))) f)) (/.f64 (PI.f64) #s(literal -4 binary64)))
(/.f64 (*.f64 #s(literal 4 binary64) (log.f64 (/.f64 (*.f64 (PI.f64) f) #s(literal 4 binary64)))) (PI.f64))
(*.f64 (log.f64 (/.f64 (*.f64 (PI.f64) f) #s(literal 4 binary64))) (/.f64 #s(literal 4 binary64) (PI.f64)))
(*.f64 #s(literal -1/12 binary64) (*.f64 (PI.f64) (*.f64 f f)))
Outputs
(/.f64 (log.f64 (+.f64 (pow.f64 (pow.f64 (expm1.f64 (*.f64 (PI.f64) (*.f64 f #s(literal 1/2 binary64)))) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (/.f64 #s(literal -1 binary64) (expm1.f64 (*.f64 (PI.f64) (*.f64 f #s(literal -1/2 binary64))))))) (/.f64 (PI.f64) #s(literal -4 binary64)))
(/.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 -4 binary64)))
(/.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 -4 binary64)))
(/.f64 #s(literal -4 binary64) (/.f64 (PI.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 #s(literal -4 binary64) (/.f64 (PI.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)))))))))
(if (<=.f64 f #s(literal 230 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (+.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (*.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/12 binary64))) f) f))) (log.f64 f)))) (/.f64 (PI.f64) #s(literal -4 binary64))) (/.f64 (*.f64 #s(literal -4 binary64) (log.f64 (/.f64 #s(literal -1 binary64) (expm1.f64 (*.f64 f (*.f64 #s(literal -1/2 binary64) (PI.f64))))))) (PI.f64)))
(if (<=.f64 f #s(literal 230 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (+.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (*.f64 #s(literal 1/4 binary64) (*.f64 f (*.f64 f (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/12 binary64))))))) (log.f64 f)))) (/.f64 (PI.f64) #s(literal -4 binary64))) (/.f64 (*.f64 #s(literal -4 binary64) (log.f64 (/.f64 #s(literal -1 binary64) (expm1.f64 (*.f64 f (*.f64 (PI.f64) #s(literal -1/2 binary64))))))) (PI.f64)))
(if (<=.f64 f #s(literal 2589569785738035/1125899906842624 binary64)) (/.f64 (log.f64 (/.f64 (+.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (*.f64 (*.f64 f f) (+.f64 (*.f64 (PI.f64) #s(literal 1/12 binary64)) (*.f64 f (*.f64 f (*.f64 (*.f64 (PI.f64) (-.f64 (*.f64 (*.f64 (PI.f64) #s(literal 0 binary64)) (/.f64 (PI.f64) #s(literal 4 binary64))) (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/5760 binary64))))) #s(literal 2 binary64))))))) f)) (/.f64 (PI.f64) #s(literal -4 binary64))) (/.f64 (*.f64 #s(literal -4 binary64) (log.f64 (/.f64 #s(literal -1 binary64) (expm1.f64 (*.f64 f (*.f64 #s(literal -1/2 binary64) (PI.f64))))))) (PI.f64)))
(if (<=.f64 f #s(literal 2589569785738035/1125899906842624 binary64)) (/.f64 (log.f64 (/.f64 (+.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (*.f64 (*.f64 f f) (+.f64 (*.f64 (PI.f64) #s(literal 1/12 binary64)) (*.f64 f (*.f64 f (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) (-.f64 (*.f64 (*.f64 (PI.f64) #s(literal 0 binary64)) (/.f64 (PI.f64) #s(literal 4 binary64))) (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/5760 binary64))))))))))) f)) (/.f64 (PI.f64) #s(literal -4 binary64))) (/.f64 (*.f64 #s(literal -4 binary64) (log.f64 (/.f64 #s(literal -1 binary64) (expm1.f64 (*.f64 f (*.f64 (PI.f64) #s(literal -1/2 binary64))))))) (PI.f64)))
(/.f64 (log.f64 (/.f64 (+.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (*.f64 (*.f64 f f) (+.f64 (*.f64 (PI.f64) #s(literal 1/12 binary64)) (*.f64 f (*.f64 f (*.f64 (*.f64 (PI.f64) (-.f64 (*.f64 (*.f64 (PI.f64) #s(literal 0 binary64)) (/.f64 (PI.f64) #s(literal 4 binary64))) (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/5760 binary64))))) #s(literal 2 binary64))))))) f)) (/.f64 (PI.f64) #s(literal -4 binary64)))
(/.f64 (log.f64 (/.f64 (+.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (*.f64 (*.f64 f f) (+.f64 (*.f64 (PI.f64) #s(literal 1/12 binary64)) (*.f64 f (*.f64 f (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) (-.f64 (*.f64 (*.f64 (PI.f64) #s(literal 0 binary64)) (/.f64 (PI.f64) #s(literal 4 binary64))) (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/5760 binary64))))))))))) f)) (/.f64 (PI.f64) #s(literal -4 binary64)))
(/.f64 (log.f64 (/.f64 (/.f64 (-.f64 (/.f64 #s(literal 16 binary64) (*.f64 (PI.f64) (PI.f64))) (*.f64 (*.f64 (*.f64 (PI.f64) (*.f64 f f)) (*.f64 (PI.f64) (*.f64 f f))) #s(literal 1/144 binary64))) (-.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (*.f64 (PI.f64) (*.f64 #s(literal 1/12 binary64) (*.f64 f f))))) f)) (/.f64 (PI.f64) #s(literal -4 binary64)))
(/.f64 (log.f64 (/.f64 (+.f64 (*.f64 (*.f64 f f) (*.f64 (PI.f64) #s(literal 1/12 binary64))) (/.f64 #s(literal 4 binary64) (PI.f64))) f)) (/.f64 (PI.f64) #s(literal -4 binary64)))
(/.f64 (log.f64 (/.f64 (+.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (*.f64 (*.f64 (PI.f64) #s(literal 1/12 binary64)) (*.f64 f f))) f)) (/.f64 (PI.f64) #s(literal -4 binary64)))
(/.f64 (*.f64 #s(literal 4 binary64) (log.f64 (/.f64 (*.f64 (PI.f64) f) #s(literal 4 binary64)))) (PI.f64))
(*.f64 (log.f64 (/.f64 (*.f64 (PI.f64) f) #s(literal 4 binary64))) (/.f64 #s(literal 4 binary64) (PI.f64)))
(*.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (log.f64 (/.f64 (*.f64 (PI.f64) f) #s(literal 4 binary64))))
(*.f64 #s(literal -1/12 binary64) (*.f64 (PI.f64) (*.f64 f f)))
(*.f64 (*.f64 (PI.f64) (*.f64 f f)) #s(literal -1/12 binary64))

soundness4.5s (21.6%)

Memory
33.6MiB live, 4 857.9MiB allocated
Rules
13 562×accelerator-lowering-fma.f32
13 562×accelerator-lowering-fma.f64
13 522×accelerator-lowering-fma.f32
13 522×accelerator-lowering-fma.f64
11 876×accelerator-lowering-fma.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
059340
1338304
23198295
08393264
02194
112194
2107590
0888778
01951458
15701350
222261288
365261254
085431109
04854781
114234482
250024367
084264107
03824816
111044480
241954275
086813842
01637
14532
212032
326532
439532
550032
659432
773132
883932
9105332
10127432
11140632
12154332
13164432
14185232
15226432
16312232
17468225
18543625
19765025
0848022
053310
1318310
22720307
08102285
Stop Event
1×fuel
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
Compiler

Compiled 433 to 215 computations (50.3% saved)

preprocess88.0ms (0.4%)

Memory
22.7MiB live, 140.6MiB allocated
Compiler

Compiled 662 to 238 computations (64% saved)

end0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated

Profiling

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