VandenBroeck and Keller, Equation (20)

Time bar (total: 19.1s)

analyze200.0ms (1%)

Memory
-12.4MiB live, 263.0MiB 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
6.5%3.1%45.1%0%0%51.7%0%10
6.9%3.3%44.8%0%0%51.8%0%11
6.9%3.3%44.8%0%0%51.9%0%12
Compiler

Compiled 39 to 18 computations (53.8% saved)

sample5.6s (29.3%)

Memory
142.8MiB live, 6 142.9MiB allocated
Samples
2.5s7 585×1valid
1.9s7 170×1invalid
153.0ms165×2valid
69.0ms506×0valid
1.0ms12×0invalid
1.0ms7×0exit
Precisions
Click to see histograms. Total time spent on operations: 4.1s
ival-exp: 1.6s (38% of total)
ival-div: 632.0ms (15.2% of total)
adjust: 410.0ms (9.9% of total)
ival-mult: 394.0ms (9.5% of total)
ival-log: 316.0ms (7.6% of total)
ival-neg: 270.0ms (6.5% of total)
ival-pi: 183.0ms (4.4% of total)
ival-sub: 173.0ms (4.2% of total)
ival-add: 152.0ms (3.7% of total)
exact: 23.0ms (0.6% of total)
ival-true: 11.0ms (0.3% of total)
ival-assert: 6.0ms (0.1% of total)
Bogosity

preprocess618.0ms (3.2%)

Memory
-41.8MiB live, 472.8MiB 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))))))))
(fma.f64 (log.f64 (+.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 (PI.f64) (fma.f64 f #s(literal 1/2 binary64) #s(literal 0 binary64)) #s(literal 0 binary64)))) (/.f64 #s(literal -1 binary64) (expm1.f64 (fma.f64 (PI.f64) (fma.f64 f #s(literal -1/2 binary64) #s(literal 0 binary64)) #s(literal 0 binary64)))))) (/.f64 #s(literal -4 binary64) (PI.f64)) #s(literal 0 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)))))))

explain384.0ms (2%)

Memory
14.5MiB live, 839.6MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
2470-0-(-.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)))))
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))
05(5660.873900774945)0-(log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))))
00-0-#s(literal 1 binary64)
00-0-(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))))))
00-0-(/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64)))
00-0-#s(literal 4 binary64)
00-0-(+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))
00-0-(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))))))
00-0-f
00-0-(/.f64 (PI.f64) #s(literal 4 binary64))
00-0-(*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)
00-0-(neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))
00-0-(PI.f64)
Explanations
Click to see full explanations table
OperatorSubexpressionExplanationCount
-.f64(-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))cancellation2470
/.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
Confusion
Predicted +Predicted -
+2510
-14
Precision
0.996031746031746
Recall
1.0
Confusion?
Predicted +Predicted MaybePredicted -
+25100
-104
Precision?
0.996031746031746
Recall?
1.0
Freqs
test
numberfreq
04
1247
25
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
165.0ms468×1valid
9.0ms10×2valid
4.0ms34×0valid
Compiler

Compiled 472 to 68 computations (85.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 142.0ms
ival-exp: 47.0ms (33.1% of total)
ival-div: 31.0ms (21.8% of total)
ival-log: 17.0ms (12% of total)
adjust: 12.0ms (8.5% of total)
ival-mult: 12.0ms (8.5% of total)
ival-neg: 8.0ms (5.6% of total)
ival-pi: 5.0ms (3.5% of total)
ival-sub: 4.0ms (2.8% of total)
ival-add: 4.0ms (2.8% of total)
exact: 1.0ms (0.7% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

eval0.0ms (0%)

Memory
0.5MiB live, 0.5MiB allocated
Compiler

Compiled 1 to 1 computations (0% saved)

prune1.0ms (0%)

Memory
2.3MiB live, 2.3MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶8.0%
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))))))
Compiler

Compiled 38 to 16 computations (57.9% saved)

simplify369.0ms (1.9%)

Memory
22.1MiB live, 611.1MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
✓cost-diff128
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))))))
✓cost-diff320
(/.f64 (PI.f64) #s(literal 4 binary64))
✓cost-diff384
(/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64)))
✓cost-diff13824
(/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))))
Rules
8 988×accelerator-lowering-fma.f32
8 988×accelerator-lowering-fma.f64
2 264×+-lowering-+.f64
2 264×+-lowering-+.f32
2 004×--lowering--.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
016196
145177
2120177
3265177
4395177
5500177
6594177
7731177
8839177
91053177
101274177
111406177
121543177
131644177
141852177
152264177
163122177
174682149
185436149
197650149
08480137
Stop Event
1×iter 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))))))))
(* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))
(/ 1 (/ (PI) 4))
1
(/ (PI) 4)
(PI)
4
(log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))))
(/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))
(+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))
(exp (* (/ (PI) 4) f))
(* (/ (PI) 4) f)
f
(exp (neg (* (/ (PI) 4) f)))
(neg (* (/ (PI) 4) f))
(- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))
Outputs
(neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))))))
(fma.f64 (log.f64 (+.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 (PI.f64) (fma.f64 f #s(literal 1/2 binary64) #s(literal 0 binary64)) #s(literal 0 binary64)))) (/.f64 #s(literal -1 binary64) (expm1.f64 (fma.f64 (PI.f64) (fma.f64 f #s(literal -1/2 binary64) #s(literal 0 binary64)) #s(literal 0 binary64)))))) (/.f64 #s(literal -4 binary64) (PI.f64)) #s(literal 0 binary64))
(* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))
(fma.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (log.f64 (+.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 (PI.f64) (fma.f64 f #s(literal 1/2 binary64) #s(literal 0 binary64)) #s(literal 0 binary64)))) (/.f64 #s(literal -1 binary64) (expm1.f64 (fma.f64 (PI.f64) (fma.f64 f #s(literal -1/2 binary64) #s(literal 0 binary64)) #s(literal 0 binary64)))))) #s(literal 0 binary64))
(/ 1 (/ (PI) 4))
(/.f64 #s(literal 4 binary64) (PI.f64))
1
#s(literal 1 binary64)
(/ (PI) 4)
(fma.f64 (PI.f64) #s(literal 1/4 binary64) #s(literal 0 binary64))
(PI)
(PI.f64)
4
#s(literal 4 binary64)
(log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))))
(log.f64 (+.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 (PI.f64) (fma.f64 f #s(literal 1/2 binary64) #s(literal 0 binary64)) #s(literal 0 binary64)))) (/.f64 #s(literal -1 binary64) (expm1.f64 (fma.f64 (PI.f64) (fma.f64 f #s(literal -1/2 binary64) #s(literal 0 binary64)) #s(literal 0 binary64))))))
(/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))
(+.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 (PI.f64) (fma.f64 f #s(literal 1/2 binary64) #s(literal 0 binary64)) #s(literal 0 binary64)))) (/.f64 #s(literal -1 binary64) (expm1.f64 (fma.f64 (PI.f64) (fma.f64 f #s(literal -1/2 binary64) #s(literal 0 binary64)) #s(literal 0 binary64)))))
(+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))
(+.f64 (exp.f64 (fma.f64 (PI.f64) (fma.f64 f #s(literal 1/4 binary64) #s(literal 0 binary64)) #s(literal 0 binary64))) (exp.f64 (fma.f64 (PI.f64) (fma.f64 f #s(literal -1/4 binary64) #s(literal 0 binary64)) #s(literal 0 binary64))))
(exp (* (/ (PI) 4) f))
(exp.f64 (fma.f64 (PI.f64) (fma.f64 f #s(literal 1/4 binary64) #s(literal 0 binary64)) #s(literal 0 binary64)))
(* (/ (PI) 4) f)
(fma.f64 (PI.f64) (fma.f64 f #s(literal 1/4 binary64) #s(literal 0 binary64)) #s(literal 0 binary64))
f
(exp (neg (* (/ (PI) 4) f)))
(exp.f64 (fma.f64 (PI.f64) (fma.f64 f #s(literal -1/4 binary64) #s(literal 0 binary64)) #s(literal 0 binary64)))
(neg (* (/ (PI) 4) f))
(fma.f64 (PI.f64) (fma.f64 f #s(literal -1/4 binary64) #s(literal 0 binary64)) #s(literal 0 binary64))
(- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))
(-.f64 (exp.f64 (fma.f64 (PI.f64) (fma.f64 f #s(literal 1/4 binary64) #s(literal 0 binary64)) #s(literal 0 binary64))) (exp.f64 (fma.f64 (PI.f64) (fma.f64 f #s(literal -1/4 binary64) #s(literal 0 binary64)) #s(literal 0 binary64))))

localize150.0ms (0.8%)

Memory
-34.5MiB live, 138.2MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
✓accuracy99.5%
(*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)
✓accuracy99.4%
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))))))
✓accuracy97.6%
(/.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)))))
✓accuracy11.9%
(-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))
Samples
111.0ms234×1valid
5.0ms5×2valid
2.0ms17×0valid
Compiler

Compiled 198 to 18 computations (90.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 102.0ms
ival-div: 38.0ms (37.2% of total)
ival-exp: 36.0ms (35.2% of total)
ival-log: 7.0ms (6.8% of total)
ival-mult: 6.0ms (5.9% of total)
adjust: 5.0ms (4.9% of total)
ival-neg: 4.0ms (3.9% of total)
ival-pi: 2.0ms (2% of total)
ival-sub: 2.0ms (2% of total)
ival-add: 2.0ms (2% of total)
ival-assert: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series94.0ms (0.5%)

Memory
26.2MiB live, 104.1MiB allocated
Counts
7 → 60
Calls
Call 1
Inputs
#<alt (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))>
#<alt (/ 1 (/ (PI) 4))>
#<alt (/ (PI) 4)>
#<alt (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))))))>
#<alt (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))>
#<alt (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))>
#<alt (* (/ (PI) 4) f)>
Outputs
#<alt (/ 2 (* f (- (* 1/4 (PI)) (* -1/4 (PI)))))>
#<alt (/ (+ (* f (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))))) (* 2 (/ 1 (- (* 1/4 (PI)) (* -1/4 (PI)))))) f)>
#<alt (/ (+ (* f (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (+ (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* f (- (* 1/16 (/ (pow (PI) 2) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 2 (/ (- (* 1/384 (pow (PI) 3)) (* -1/384 (pow (PI) 3))) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 2)))))))) (* 2 (/ 1 (- (* 1/4 (PI)) (* -1/4 (PI)))))) f)>
#<alt (/ (+ (* f (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (+ (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* f (- (+ (* 1/16 (/ (pow (PI) 2) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* f (- (+ (* -1/384 (/ (pow (PI) 3) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/384 (/ (pow (PI) 3) (- (* 1/4 (PI)) (* -1/4 (PI)))))) (/ (* (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI)))))) (- (* 1/384 (pow (PI) 3)) (* -1/384 (pow (PI) 3)))) (- (* 1/4 (PI)) (* -1/4 (PI))))))) (* 2 (/ (- (* 1/384 (pow (PI) 3)) (* -1/384 (pow (PI) 3))) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 2)))))))) (* 2 (/ 1 (- (* 1/4 (PI)) (* -1/4 (PI)))))) f)>
#<alt (/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI)))))))>
#<alt (/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI)))))))>
#<alt (/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI)))))))>
#<alt (/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI)))))))>
#<alt (/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI)))))))>
#<alt (/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI)))))))>
#<alt (/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI)))))))>
#<alt (/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI)))))))>
#<alt (* -4 (/ (+ (log (/ 2 (- (* 1/4 (PI)) (* -1/4 (PI))))) (* -1 (log f))) (PI)))>
#<alt (- (* -2 (/ (* f (* (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI)))))) (- (* 1/4 (PI)) (* -1/4 (PI))))) (PI))) (* 4 (/ (+ (log (/ 2 (- (* 1/4 (PI)) (* -1/4 (PI))))) (* -1 (log f))) (PI))))>
#<alt (- (* f (- (* -2 (/ (* f (+ (* -1/4 (* (pow (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI)))))) 2) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 2))) (* (- (* 1/16 (/ (pow (PI) 2) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 2 (/ (- (* 1/384 (pow (PI) 3)) (* -1/384 (pow (PI) 3))) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 2)))) (- (* 1/4 (PI)) (* -1/4 (PI)))))) (PI))) (* 2 (/ (* (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI)))))) (- (* 1/4 (PI)) (* -1/4 (PI)))) (PI))))) (* 4 (/ (+ (log (/ 2 (- (* 1/4 (PI)) (* -1/4 (PI))))) (* -1 (log f))) (PI))))>
#<alt (- (* f (- (* f (- (* -2/3 (/ (* f (+ (* -3/2 (* (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI)))))) (* (- (* 1/16 (/ (pow (PI) 2) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 2 (/ (- (* 1/384 (pow (PI) 3)) (* -1/384 (pow (PI) 3))) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 2)))) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 2)))) (+ (* 1/4 (* (pow (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI)))))) 3) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 3))) (* 3 (* (- (* 1/4 (PI)) (* -1/4 (PI))) (- (+ (* -1/384 (/ (pow (PI) 3) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/384 (/ (pow (PI) 3) (- (* 1/4 (PI)) (* -1/4 (PI)))))) (/ (* (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI)))))) (- (* 1/384 (pow (PI) 3)) (* -1/384 (pow (PI) 3)))) (- (* 1/4 (PI)) (* -1/4 (PI)))))))))) (PI))) (* 2 (/ (+ (* -1/4 (* (pow (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI)))))) 2) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 2))) (* (- (* 1/16 (/ (pow (PI) 2) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 2 (/ (- (* 1/384 (pow (PI) 3)) (* -1/384 (pow (PI) 3))) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 2)))) (- (* 1/4 (PI)) (* -1/4 (PI))))) (PI))))) (* 2 (/ (* (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI)))))) (- (* 1/4 (PI)) (* -1/4 (PI)))) (PI))))) (* 4 (/ (+ (log (/ 2 (- (* 1/4 (PI)) (* -1/4 (PI))))) (* -1 (log f))) (PI))))>
#<alt (* -4 (/ (log (/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI)))))))) (PI)))>
#<alt (* -4 (/ (log (/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI)))))))) (PI)))>
#<alt (* -4 (/ (log (/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI)))))))) (PI)))>
#<alt (* -4 (/ (log (/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI)))))))) (PI)))>
#<alt (* -4 (/ (log (/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI)))))))) (PI)))>
#<alt (* -4 (/ (log (/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI)))))))) (PI)))>
#<alt (* -4 (/ (log (/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI)))))))) (PI)))>
#<alt (* -4 (/ (log (/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI)))))))) (PI)))>
#<alt (* f (- (* 1/4 (PI)) (* -1/4 (PI))))>
#<alt (* f (- (+ (* 1/4 (PI)) (* (pow f 2) (- (* 1/384 (pow (PI) 3)) (* -1/384 (pow (PI) 3))))) (* -1/4 (PI))))>
#<alt (* f (- (+ (* 1/4 (PI)) (* (pow f 2) (- (+ (* 1/384 (pow (PI) 3)) (* (pow f 2) (- (* 1/122880 (pow (PI) 5)) (* -1/122880 (pow (PI) 5))))) (* -1/384 (pow (PI) 3))))) (* -1/4 (PI))))>
#<alt (* f (- (+ (* 1/4 (PI)) (* (pow f 2) (- (+ (* 1/384 (pow (PI) 3)) (* (pow f 2) (- (+ (* 1/122880 (pow (PI) 5)) (* (pow f 2) (- (* 1/82575360 (pow (PI) 7)) (* -1/82575360 (pow (PI) 7))))) (* -1/122880 (pow (PI) 5))))) (* -1/384 (pow (PI) 3))))) (* -1/4 (PI))))>
#<alt (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI))))))>
#<alt (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI))))))>
#<alt (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI))))))>
#<alt (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI))))))>
#<alt (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI))))))>
#<alt (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI))))))>
#<alt (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI))))))>
#<alt (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI))))))>
#<alt (* 4 (/ (+ (log (/ 2 (- (* 1/4 (PI)) (* -1/4 (PI))))) (* -1 (log f))) (PI)))>
#<alt (+ (* 2 (/ (* f (* (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI)))))) (- (* 1/4 (PI)) (* -1/4 (PI))))) (PI))) (* 4 (/ (+ (log (/ 2 (- (* 1/4 (PI)) (* -1/4 (PI))))) (* -1 (log f))) (PI))))>
#<alt (+ (* 4 (/ (+ (log (/ 2 (- (* 1/4 (PI)) (* -1/4 (PI))))) (* -1 (log f))) (PI))) (* f (+ (* 2 (/ (* f (+ (* -1/4 (* (pow (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI)))))) 2) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 2))) (* (- (* 1/16 (/ (pow (PI) 2) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 2 (/ (- (* 1/384 (pow (PI) 3)) (* -1/384 (pow (PI) 3))) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 2)))) (- (* 1/4 (PI)) (* -1/4 (PI)))))) (PI))) (* 2 (/ (* (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI)))))) (- (* 1/4 (PI)) (* -1/4 (PI)))) (PI))))))>
#<alt (+ (* 4 (/ (+ (log (/ 2 (- (* 1/4 (PI)) (* -1/4 (PI))))) (* -1 (log f))) (PI))) (* f (+ (* 2 (/ (* (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI)))))) (- (* 1/4 (PI)) (* -1/4 (PI)))) (PI))) (* f (+ (* 2/3 (/ (* f (+ (* -3/2 (* (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI)))))) (* (- (* 1/16 (/ (pow (PI) 2) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 2 (/ (- (* 1/384 (pow (PI) 3)) (* -1/384 (pow (PI) 3))) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 2)))) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 2)))) (+ (* 1/4 (* (pow (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI)))))) 3) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 3))) (* 3 (* (- (* 1/4 (PI)) (* -1/4 (PI))) (- (+ (* -1/384 (/ (pow (PI) 3) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/384 (/ (pow (PI) 3) (- (* 1/4 (PI)) (* -1/4 (PI)))))) (/ (* (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI)))))) (- (* 1/384 (pow (PI) 3)) (* -1/384 (pow (PI) 3)))) (- (* 1/4 (PI)) (* -1/4 (PI)))))))))) (PI))) (* 2 (/ (+ (* -1/4 (* (pow (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI)))))) 2) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 2))) (* (- (* 1/16 (/ (pow (PI) 2) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 2 (/ (- (* 1/384 (pow (PI) 3)) (* -1/384 (pow (PI) 3))) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 2)))) (- (* 1/4 (PI)) (* -1/4 (PI))))) (PI))))))))>
#<alt (* 4 (/ (log (/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI)))))))) (PI)))>
#<alt (* 4 (/ (log (/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI)))))))) (PI)))>
#<alt (* 4 (/ (log (/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI)))))))) (PI)))>
#<alt (* 4 (/ (log (/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI)))))))) (PI)))>
#<alt (* 4 (/ (log (/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI)))))))) (PI)))>
#<alt (* 4 (/ (log (/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI)))))))) (PI)))>
#<alt (* 4 (/ (log (/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI)))))))) (PI)))>
#<alt (* 4 (/ (log (/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI)))))))) (PI)))>
#<alt (* 1/4 (* f (PI)))>
#<alt (* 1/4 (* f (PI)))>
#<alt (* 1/4 (* f (PI)))>
#<alt (* 1/4 (* f (PI)))>
#<alt (* 1/4 (* f (PI)))>
#<alt (* 1/4 (* f (PI)))>
#<alt (* 1/4 (* f (PI)))>
#<alt (* 1/4 (* f (PI)))>
#<alt (* 1/4 (* f (PI)))>
#<alt (* 1/4 (* f (PI)))>
#<alt (* 1/4 (* f (PI)))>
#<alt (* 1/4 (* f (PI)))>
Calls

15 calls:

TimeVariablePointExpression
46.0ms
f
@inf
(neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))))))
38.0ms
f
@-inf
(neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))))))
3.0ms
f
@0
(neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))))))
1.0ms
f
@0
(/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))
1.0ms
f
@-inf
(/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))

rewrite321.0ms (1.7%)

Memory
-45.6MiB live, 462.4MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
5 070×*-lowering-*.f32
5 070×*-lowering-*.f64
3 230×accelerator-lowering-fma.f32
3 230×accelerator-lowering-fma.f64
3 206×/-lowering-/.f32
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01687
110649
276449
0854149
Stop Event
1×iter limit
1×node limit
Counts
7 → 556
Calls
Call 1
Inputs
(/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))
(/ 1 (/ (PI) 4))
(/ (PI) 4)
(neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))))))
(- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))
(* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))
(* (/ (PI) 4) f)
Outputs
(+.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (sinh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (exp.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (*.f64 (/.f64 #s(literal 1/2 binary64) (sinh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (exp.f64 (*.f64 (PI.f64) (*.f64 #s(literal -1/4 binary64) f)))))
(+.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (sinh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (exp.f64 (*.f64 (PI.f64) (*.f64 #s(literal -1/4 binary64) f)))) (*.f64 (/.f64 #s(literal 1/2 binary64) (sinh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (exp.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))))
(+.f64 (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (-.f64 (exp.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 3/4 binary64))) (exp.f64 (neg.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 3/4 binary64)))))) (exp.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/2 binary64)))) (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (-.f64 (exp.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 3/4 binary64))) (exp.f64 (neg.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 3/4 binary64)))))) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/2 binary64)))))))
(+.f64 (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (-.f64 (exp.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 3/4 binary64))) (exp.f64 (neg.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 3/4 binary64)))))) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/2 binary64)))))) (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (-.f64 (exp.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 3/4 binary64))) (exp.f64 (neg.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 3/4 binary64)))))) (exp.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/2 binary64)))))
(+.f64 (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (-.f64 (exp.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 3/4 binary64))) (exp.f64 (neg.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 3/4 binary64)))))) (+.f64 (exp.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/2 binary64))) (exp.f64 (neg.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/2 binary64)))))) (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (-.f64 (exp.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 3/4 binary64))) (exp.f64 (neg.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 3/4 binary64)))))) #s(literal 1 binary64)))
(+.f64 (*.f64 (exp.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)) (/.f64 #s(literal 1/2 binary64) (sinh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))) (*.f64 (exp.f64 (*.f64 (PI.f64) (*.f64 #s(literal -1/4 binary64) f))) (/.f64 #s(literal 1/2 binary64) (sinh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))))
(+.f64 (*.f64 (exp.f64 (*.f64 (PI.f64) (*.f64 #s(literal -1/4 binary64) f))) (/.f64 #s(literal 1/2 binary64) (sinh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))) (*.f64 (exp.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)) (/.f64 #s(literal 1/2 binary64) (sinh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))))
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(*.f64 (-.f64 #s(literal 0 binary64) (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))) (/.f64 #s(literal 4 binary64) (PI.f64)))
(*.f64 (/.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (*.f64 (PI.f64) #s(literal -1/4 binary64))) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (*.f64 (PI.f64) #s(literal 1/4 binary64))))
(*.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (/.f64 #s(literal -4 binary64) (PI.f64)))
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(*.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) (neg.f64 (*.f64 #s(literal 4 binary64) (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))))))
(*.f64 (*.f64 (-.f64 #s(literal 0 binary64) (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))) #s(literal 4 binary64)) (/.f64 #s(literal 1 binary64) (PI.f64)))
(*.f64 (pow.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) #s(literal -1/2 binary64)) (*.f64 (pow.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) #s(literal -1/2 binary64)) (-.f64 #s(literal 0 binary64) (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))))))
(*.f64 (/.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (-.f64 #s(literal 0 binary64) (PI.f64))) #s(literal 4 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (PI.f64) #s(literal 2/3 binary64))) (/.f64 (-.f64 #s(literal 0 binary64) (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))) (*.f64 (cbrt.f64 (PI.f64)) #s(literal 1/4 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64))) (/.f64 (-.f64 #s(literal 0 binary64) (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))) (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/4 binary64))))
(*.f64 (/.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (PI.f64)) #s(literal -4 binary64))
(*.f64 (/.f64 #s(literal -1 binary64) (PI.f64)) (*.f64 #s(literal 4 binary64) (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))))
(*.f64 (/.f64 #s(literal -1 binary64) (PI.f64)) (/.f64 (-.f64 #s(literal 0 binary64) (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))) #s(literal -1/4 binary64)))
(*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))) (pow.f64 (PI.f64) #s(literal 2/3 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 (cbrt.f64 (PI.f64)) #s(literal 1/4 binary64))))
(*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))) (sqrt.f64 (PI.f64))) (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64))))
(*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))) #s(literal -1 binary64)) (/.f64 #s(literal -4 binary64) (PI.f64)))
(*.f64 (*.f64 (-.f64 #s(literal 0 binary64) (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))) (pow.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) #s(literal -1/2 binary64))) (pow.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) #s(literal -1/2 binary64)))
(log.f64 (exp.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))
(+.f64 #s(literal 0 binary64) (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))
(+.f64 (log.f64 (exp.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) (*.f64 f #s(literal 1/2 binary64))))) (log.f64 (exp.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) (*.f64 f #s(literal 1/2 binary64))))))
(neg.f64 (*.f64 (PI.f64) (*.f64 #s(literal -1/4 binary64) f)))
(/.f64 f (/.f64 #s(literal 4 binary64) (PI.f64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) (*.f64 (PI.f64) f)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 4 binary64) (*.f64 (PI.f64) f)) #s(literal 1 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 4 binary64) (*.f64 (PI.f64) f))))
(/.f64 (-.f64 #s(literal 0 binary64) f) (/.f64 #s(literal -4 binary64) (PI.f64)))
(/.f64 (*.f64 (PI.f64) f) #s(literal 4 binary64))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (PI.f64) f)) #s(literal -4 binary64))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 (*.f64 (PI.f64) f) (*.f64 (PI.f64) f)) #s(literal 1/16 binary64))) (*.f64 (PI.f64) (*.f64 #s(literal -1/4 binary64) f)))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 (PI.f64) f))) #s(literal 4 binary64))
(/.f64 (+.f64 #s(literal 0 binary64) (*.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f) (*.f64 (*.f64 (*.f64 (PI.f64) f) (*.f64 (PI.f64) f)) #s(literal 1/16 binary64)))) (+.f64 #s(literal 0 binary64) (-.f64 (*.f64 (*.f64 (*.f64 (PI.f64) f) (*.f64 (PI.f64) f)) #s(literal 1/16 binary64)) #s(literal 0 binary64))))
(pow.f64 (/.f64 #s(literal 4 binary64) (*.f64 (PI.f64) f)) #s(literal -1 binary64))
(*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))
(*.f64 (PI.f64) (*.f64 f #s(literal 1/4 binary64)))
(*.f64 (PI.f64) (*.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) f)))
(*.f64 (PI.f64) (*.f64 #s(literal 1 binary64) (*.f64 f #s(literal 1/4 binary64))))
(*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)
(*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) (log.f64 (exp.f64 f)))
(*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) (/.f64 f #s(literal 1 binary64)))
(*.f64 f (*.f64 (PI.f64) #s(literal 1/4 binary64)))
(*.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))
(*.f64 #s(literal -1 binary64) (*.f64 (PI.f64) (*.f64 #s(literal -1/4 binary64) f)))
(*.f64 (cbrt.f64 (PI.f64)) (*.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (*.f64 #s(literal 1/4 binary64) f)))
(*.f64 (cbrt.f64 (PI.f64)) (*.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (*.f64 f #s(literal 1/4 binary64))))
(*.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (*.f64 (cbrt.f64 (PI.f64)) (*.f64 #s(literal 1/4 binary64) f)))
(*.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (*.f64 (cbrt.f64 (PI.f64)) (*.f64 f #s(literal 1/4 binary64))))
(*.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (*.f64 (*.f64 (cbrt.f64 (PI.f64)) #s(literal 1/4 binary64)) f))
(*.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (*.f64 (*.f64 (cbrt.f64 (PI.f64)) f) #s(literal 1/4 binary64)))
(*.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) (*.f64 #s(literal 1/4 binary64) f)))
(*.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) (*.f64 f #s(literal 1/4 binary64))))
(*.f64 (sqrt.f64 (PI.f64)) (*.f64 (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/4 binary64)) f))
(*.f64 (sqrt.f64 (PI.f64)) (*.f64 (*.f64 (sqrt.f64 (PI.f64)) f) #s(literal 1/4 binary64)))
(*.f64 (-.f64 #s(literal 0 binary64) (PI.f64)) (*.f64 #s(literal -1/4 binary64) f))
(*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f))
(*.f64 #s(literal 1/4 binary64) (/.f64 f (/.f64 #s(literal 1 binary64) (PI.f64))))
(*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64))
(*.f64 (-.f64 #s(literal 0 binary64) (*.f64 (PI.f64) f)) #s(literal -1/4 binary64))
(*.f64 (*.f64 f #s(literal 1/4 binary64)) (PI.f64))
(*.f64 (/.f64 f #s(literal 1 binary64)) (*.f64 (PI.f64) #s(literal 1/4 binary64)))
(*.f64 (/.f64 f #s(literal -1 binary64)) (*.f64 (PI.f64) #s(literal -1/4 binary64)))
(*.f64 (/.f64 f (/.f64 #s(literal 1 binary64) (PI.f64))) #s(literal 1/4 binary64))
(*.f64 (/.f64 f (pow.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) #s(literal -1/2 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) #s(literal -1/2 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) #s(literal -1/2 binary64))) (/.f64 f (pow.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) #s(literal -1/2 binary64))))
(*.f64 (/.f64 f (/.f64 #s(literal -1 binary64) (PI.f64))) #s(literal -1/4 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (PI.f64))) (/.f64 f #s(literal -4 binary64)))
(*.f64 (*.f64 f (pow.f64 (PI.f64) #s(literal 2/3 binary64))) (*.f64 (cbrt.f64 (PI.f64)) #s(literal 1/4 binary64)))
(*.f64 (*.f64 f (sqrt.f64 (PI.f64))) (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/4 binary64)))

simplify645.0ms (3.4%)

Memory
16.3MiB live, 800.4MiB allocated
Algorithm
1×egg-herbie
Rules
18 550×accelerator-lowering-fma.f32
18 550×accelerator-lowering-fma.f64
3 724×*-lowering-*.f32
3 724×*-lowering-*.f64
2 180×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01711490
14841364
217481236
370341196
091621178
Stop Event
1×iter limit
1×node limit
Counts
60 → 60
Calls
Call 1
Inputs
(/ 2 (* f (- (* 1/4 (PI)) (* -1/4 (PI)))))
(/ (+ (* f (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))))) (* 2 (/ 1 (- (* 1/4 (PI)) (* -1/4 (PI)))))) f)
(/ (+ (* f (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (+ (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* f (- (* 1/16 (/ (pow (PI) 2) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 2 (/ (- (* 1/384 (pow (PI) 3)) (* -1/384 (pow (PI) 3))) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 2)))))))) (* 2 (/ 1 (- (* 1/4 (PI)) (* -1/4 (PI)))))) f)
(/ (+ (* f (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (+ (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* f (- (+ (* 1/16 (/ (pow (PI) 2) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* f (- (+ (* -1/384 (/ (pow (PI) 3) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/384 (/ (pow (PI) 3) (- (* 1/4 (PI)) (* -1/4 (PI)))))) (/ (* (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI)))))) (- (* 1/384 (pow (PI) 3)) (* -1/384 (pow (PI) 3)))) (- (* 1/4 (PI)) (* -1/4 (PI))))))) (* 2 (/ (- (* 1/384 (pow (PI) 3)) (* -1/384 (pow (PI) 3))) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 2)))))))) (* 2 (/ 1 (- (* 1/4 (PI)) (* -1/4 (PI)))))) f)
(/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI)))))))
(/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI)))))))
(/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI)))))))
(/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI)))))))
(/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI)))))))
(/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI)))))))
(/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI)))))))
(/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI)))))))
(* -4 (/ (+ (log (/ 2 (- (* 1/4 (PI)) (* -1/4 (PI))))) (* -1 (log f))) (PI)))
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(*.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (fma.f64 f (*.f64 (PI.f64) #s(literal -1/4 binary64)) #s(literal 0 binary64))) (exp.f64 (*.f64 f (fma.f64 #s(literal 1/4 binary64) (PI.f64) #s(literal 0 binary64))))) (-.f64 (exp.f64 (*.f64 f (fma.f64 #s(literal 1/4 binary64) (PI.f64) #s(literal 0 binary64)))) (exp.f64 (fma.f64 f (*.f64 (PI.f64) #s(literal -1/4 binary64)) #s(literal 0 binary64)))))) (/.f64 #s(literal 4 binary64) (PI.f64)))
(* 4 (/ (log (/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI)))))))) (PI)))
(*.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (fma.f64 f (*.f64 (PI.f64) #s(literal -1/4 binary64)) #s(literal 0 binary64))) (exp.f64 (*.f64 f (fma.f64 #s(literal 1/4 binary64) (PI.f64) #s(literal 0 binary64))))) (-.f64 (exp.f64 (*.f64 f (fma.f64 #s(literal 1/4 binary64) (PI.f64) #s(literal 0 binary64)))) (exp.f64 (fma.f64 f (*.f64 (PI.f64) #s(literal -1/4 binary64)) #s(literal 0 binary64)))))) (/.f64 #s(literal 4 binary64) (PI.f64)))
(* 4 (/ (log (/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI)))))))) (PI)))
(*.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (fma.f64 f (*.f64 (PI.f64) #s(literal -1/4 binary64)) #s(literal 0 binary64))) (exp.f64 (*.f64 f (fma.f64 #s(literal 1/4 binary64) (PI.f64) #s(literal 0 binary64))))) (-.f64 (exp.f64 (*.f64 f (fma.f64 #s(literal 1/4 binary64) (PI.f64) #s(literal 0 binary64)))) (exp.f64 (fma.f64 f (*.f64 (PI.f64) #s(literal -1/4 binary64)) #s(literal 0 binary64)))))) (/.f64 #s(literal 4 binary64) (PI.f64)))
(* 4 (/ (log (/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI)))))))) (PI)))
(*.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (fma.f64 f (*.f64 (PI.f64) #s(literal -1/4 binary64)) #s(literal 0 binary64))) (exp.f64 (*.f64 f (fma.f64 #s(literal 1/4 binary64) (PI.f64) #s(literal 0 binary64))))) (-.f64 (exp.f64 (*.f64 f (fma.f64 #s(literal 1/4 binary64) (PI.f64) #s(literal 0 binary64)))) (exp.f64 (fma.f64 f (*.f64 (PI.f64) #s(literal -1/4 binary64)) #s(literal 0 binary64)))))) (/.f64 #s(literal 4 binary64) (PI.f64)))
(* 4 (/ (log (/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI)))))))) (PI)))
(*.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (fma.f64 f (*.f64 (PI.f64) #s(literal -1/4 binary64)) #s(literal 0 binary64))) (exp.f64 (*.f64 f (fma.f64 #s(literal 1/4 binary64) (PI.f64) #s(literal 0 binary64))))) (-.f64 (exp.f64 (*.f64 f (fma.f64 #s(literal 1/4 binary64) (PI.f64) #s(literal 0 binary64)))) (exp.f64 (fma.f64 f (*.f64 (PI.f64) #s(literal -1/4 binary64)) #s(literal 0 binary64)))))) (/.f64 #s(literal 4 binary64) (PI.f64)))
(* 4 (/ (log (/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI)))))))) (PI)))
(*.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (fma.f64 f (*.f64 (PI.f64) #s(literal -1/4 binary64)) #s(literal 0 binary64))) (exp.f64 (*.f64 f (fma.f64 #s(literal 1/4 binary64) (PI.f64) #s(literal 0 binary64))))) (-.f64 (exp.f64 (*.f64 f (fma.f64 #s(literal 1/4 binary64) (PI.f64) #s(literal 0 binary64)))) (exp.f64 (fma.f64 f (*.f64 (PI.f64) #s(literal -1/4 binary64)) #s(literal 0 binary64)))))) (/.f64 #s(literal 4 binary64) (PI.f64)))
(* 1/4 (* f (PI)))
(*.f64 f (fma.f64 #s(literal 1/4 binary64) (PI.f64) #s(literal 0 binary64)))
(* 1/4 (* f (PI)))
(*.f64 f (fma.f64 #s(literal 1/4 binary64) (PI.f64) #s(literal 0 binary64)))
(* 1/4 (* f (PI)))
(*.f64 f (fma.f64 #s(literal 1/4 binary64) (PI.f64) #s(literal 0 binary64)))
(* 1/4 (* f (PI)))
(*.f64 f (fma.f64 #s(literal 1/4 binary64) (PI.f64) #s(literal 0 binary64)))
(* 1/4 (* f (PI)))
(*.f64 f (fma.f64 #s(literal 1/4 binary64) (PI.f64) #s(literal 0 binary64)))
(* 1/4 (* f (PI)))
(*.f64 f (fma.f64 #s(literal 1/4 binary64) (PI.f64) #s(literal 0 binary64)))
(* 1/4 (* f (PI)))
(*.f64 f (fma.f64 #s(literal 1/4 binary64) (PI.f64) #s(literal 0 binary64)))
(* 1/4 (* f (PI)))
(*.f64 f (fma.f64 #s(literal 1/4 binary64) (PI.f64) #s(literal 0 binary64)))
(* 1/4 (* f (PI)))
(*.f64 f (fma.f64 #s(literal 1/4 binary64) (PI.f64) #s(literal 0 binary64)))
(* 1/4 (* f (PI)))
(*.f64 f (fma.f64 #s(literal 1/4 binary64) (PI.f64) #s(literal 0 binary64)))
(* 1/4 (* f (PI)))
(*.f64 f (fma.f64 #s(literal 1/4 binary64) (PI.f64) #s(literal 0 binary64)))
(* 1/4 (* f (PI)))
(*.f64 f (fma.f64 #s(literal 1/4 binary64) (PI.f64) #s(literal 0 binary64)))

eval215.0ms (1.1%)

Memory
27.2MiB live, 366.8MiB allocated
Compiler

Compiled 40 111 to 4 668 computations (88.4% saved)

prune128.0ms (0.7%)

Memory
10.1MiB live, 335.5MiB allocated
Pruning

15 alts after pruning (15 fresh and 0 done)

PrunedKeptTotal
New95715972
Fresh000
Picked101
Done000
Total95815973
Accuracy
100.0%
Counts
973 → 15
Alt Table
Click to see full alt table
StatusAccuracyProgram
95.9%
(fma.f64 (-.f64 (neg.f64 (log.f64 (fma.f64 #s(literal 1/4 binary64) (PI.f64) #s(literal 0 binary64)))) (log.f64 f)) (/.f64 #s(literal -4 binary64) (PI.f64)) #s(literal 0 binary64))
▶99.5%
(/.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (*.f64 (PI.f64) #s(literal 1/4 binary64)))
97.4%
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (*.f64 (PI.f64) #s(literal -1/4 binary64))) (-.f64 #s(literal 0 binary64) (pow.f64 (/.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (*.f64 (PI.f64) #s(literal -1/4 binary64))) #s(literal 2 binary64)))))
97.2%
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (/.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (*.f64 (PI.f64) #s(literal -1/4 binary64))) #s(literal 2 binary64)) #s(literal 0 binary64)) (-.f64 #s(literal 0 binary64) (pow.f64 (/.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (*.f64 (PI.f64) #s(literal -1/4 binary64))) #s(literal 3 binary64)))))
▶99.4%
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))))
97.3%
(-.f64 (/.f64 (log.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))) (*.f64 (PI.f64) #s(literal -1/4 binary64))) (/.f64 (log.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))) (*.f64 (PI.f64) #s(literal -1/4 binary64))))
99.4%
(*.f64 (pow.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) #s(literal -1/2 binary64)) (*.f64 (pow.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) #s(literal -1/2 binary64)) (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))))
▶99.2%
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64))) (/.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/4 binary64))))
97.1%
(*.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (/.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (*.f64 (PI.f64) #s(literal -1/4 binary64))) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (/.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (*.f64 (PI.f64) #s(literal -1/4 binary64))) #s(literal 2 binary64)) #s(literal 0 binary64))))
▶97.2%
(*.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (/.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (*.f64 (PI.f64) #s(literal -1/4 binary64))) #s(literal 2 binary64))) (/.f64 (*.f64 (PI.f64) #s(literal -1/4 binary64)) (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))))
97.1%
(neg.f64 (/.f64 (*.f64 (-.f64 (pow.f64 (log.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))) #s(literal 3 binary64)) (pow.f64 (log.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))) #s(literal 3 binary64))) #s(literal 4 binary64)) (*.f64 (+.f64 (pow.f64 (log.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))) #s(literal 2 binary64)) (*.f64 (log.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))) (+.f64 (log.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))) (log.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))))))) (PI.f64))))
99.2%
(neg.f64 (/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))) (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (PI.f64))))
96.5%
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (fma.f64 f (fma.f64 f (fma.f64 (*.f64 (PI.f64) #s(literal 1/48 binary64)) #s(literal -2 binary64) (fma.f64 (PI.f64) #s(literal 1/8 binary64) #s(literal 0 binary64))) #s(literal 0 binary64)) (/.f64 #s(literal 4 binary64) (PI.f64))) f))))
▶95.9%
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 #s(literal 2 binary64) (*.f64 f (fma.f64 (PI.f64) #s(literal 1/2 binary64) #s(literal 0 binary64)))))))
99.4%
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 #s(literal 1 binary64) (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))))))
Compiler

Compiled 770 to 466 computations (39.5% saved)

simplify300.0ms (1.6%)

Memory
-13.7MiB live, 537.6MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(/.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (*.f64 (PI.f64) #s(literal -1/4 binary64)))
✓cost-diff0
(pow.f64 (/.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (*.f64 (PI.f64) #s(literal -1/4 binary64))) #s(literal 2 binary64))
✓cost-diff0
(-.f64 #s(literal 0 binary64) (pow.f64 (/.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (*.f64 (PI.f64) #s(literal -1/4 binary64))) #s(literal 2 binary64)))
✓cost-diff128
(*.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (/.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (*.f64 (PI.f64) #s(literal -1/4 binary64))) #s(literal 2 binary64))) (/.f64 (*.f64 (PI.f64) #s(literal -1/4 binary64)) (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))))
✓cost-diff0
(PI.f64)
✓cost-diff0
(sqrt.f64 (PI.f64))
✓cost-diff0
(/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64)))
✓cost-diff2240
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64))) (/.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/4 binary64))))
✓cost-diff0
(PI.f64)
✓cost-diff0
(*.f64 (PI.f64) #s(literal 1/4 binary64))
✓cost-diff0
(/.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))))
✓cost-diff640
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))))
✓cost-diff128
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 #s(literal 2 binary64) (*.f64 f (fma.f64 (PI.f64) #s(literal 1/2 binary64) #s(literal 0 binary64)))))))
✓cost-diff192
(log.f64 (/.f64 #s(literal 2 binary64) (*.f64 f (fma.f64 (PI.f64) #s(literal 1/2 binary64) #s(literal 0 binary64)))))
✓cost-diff448
(/.f64 #s(literal 2 binary64) (*.f64 f (fma.f64 (PI.f64) #s(literal 1/2 binary64) #s(literal 0 binary64))))
✓cost-diff704
(/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64)))
✓cost-diff0
(*.f64 (PI.f64) #s(literal 1/4 binary64))
✓cost-diff0
(*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)
✓cost-diff0
(tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))
✓cost-diff0
(log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))
Rules
4 262×*-lowering-*.f32
4 262×*-lowering-*.f64
4 034×accelerator-lowering-fma.f32
4 034×accelerator-lowering-fma.f64
2 264×/-lowering-/.f32
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
036312
1107306
2295297
3868296
43505296
56722296
08128296
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(/ (log (tanh (* (* (PI) 1/4) f))) (* (PI) 1/4))
(log (tanh (* (* (PI) 1/4) f)))
(tanh (* (* (PI) 1/4) f))
(* (* (PI) 1/4) f)
(* (PI) 1/4)
(PI)
1/4
f
(neg (* (/ 1 (/ (PI) 4)) (log (/ 2 (* f (+ (* (PI) 1/2) 0))))))
(* (/ 1 (/ (PI) 4)) (log (/ 2 (* f (+ (* (PI) 1/2) 0)))))
(/ 1 (/ (PI) 4))
1
(/ (PI) 4)
(PI)
4
(log (/ 2 (* f (+ (* (PI) 1/2) 0))))
(/ 2 (* f (+ (* (PI) 1/2) 0)))
2
(* f (+ (* (PI) 1/2) 0))
f
(+ (* (PI) 1/2) 0)
1/2
0
(/ 1 (/ (* (PI) 1/4) (log (tanh (* (* (PI) 1/4) f)))))
1
(/ (* (PI) 1/4) (log (tanh (* (* (PI) 1/4) f))))
(* (PI) 1/4)
(PI)
1/4
(log (tanh (* (* (PI) 1/4) f)))
(tanh (* (* (PI) 1/4) f))
(* (* (PI) 1/4) f)
f
(* (/ 1 (sqrt (PI))) (/ (log (tanh (* (* (PI) 1/4) f))) (* (sqrt (PI)) 1/4)))
(/ 1 (sqrt (PI)))
1
(sqrt (PI))
(PI)
(/ (log (tanh (* (* (PI) 1/4) f))) (* (sqrt (PI)) 1/4))
(log (tanh (* (* (PI) 1/4) f)))
(tanh (* (* (PI) 1/4) f))
(* (* (PI) 1/4) f)
(* (PI) 1/4)
1/4
f
(* (sqrt (PI)) 1/4)
(* (- 0 (pow (/ (log (tanh (* (* (PI) 1/4) f))) (* (PI) -1/4)) 2)) (/ (* (PI) -1/4) (log (tanh (* (* (PI) 1/4) f)))))
(- 0 (pow (/ (log (tanh (* (* (PI) 1/4) f))) (* (PI) -1/4)) 2))
0
(pow (/ (log (tanh (* (* (PI) 1/4) f))) (* (PI) -1/4)) 2)
(/ (log (tanh (* (* (PI) 1/4) f))) (* (PI) -1/4))
(log (tanh (* (* (PI) 1/4) f)))
(tanh (* (* (PI) 1/4) f))
(* (* (PI) 1/4) f)
(* (PI) 1/4)
(PI)
1/4
f
(* (PI) -1/4)
-1/4
2
(/ (* (PI) -1/4) (log (tanh (* (* (PI) 1/4) f))))
Outputs
(/ (log (tanh (* (* (PI) 1/4) f))) (* (PI) 1/4))
(fma.f64 (log.f64 (tanh.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f)))) (/.f64 #s(literal 4 binary64) (PI.f64)) #s(literal 0 binary64))
(log (tanh (* (* (PI) 1/4) f)))
(log.f64 (tanh.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f))))
(tanh (* (* (PI) 1/4) f))
(tanh.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f)))
(* (* (PI) 1/4) f)
(*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f))
(* (PI) 1/4)
(*.f64 (PI.f64) #s(literal 1/4 binary64))
(PI)
(PI.f64)
1/4
#s(literal 1/4 binary64)
f
(neg (* (/ 1 (/ (PI) 4)) (log (/ 2 (* f (+ (* (PI) 1/2) 0))))))
(fma.f64 (-.f64 #s(literal 0 binary64) (log.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f)))) (/.f64 #s(literal -4 binary64) (PI.f64)) #s(literal 0 binary64))
(* (/ 1 (/ (PI) 4)) (log (/ 2 (* f (+ (* (PI) 1/2) 0)))))
(fma.f64 #s(literal 4 binary64) (/.f64 (-.f64 #s(literal 0 binary64) (log.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f)))) (PI.f64)) #s(literal 0 binary64))
(/ 1 (/ (PI) 4))
(/.f64 #s(literal 4 binary64) (PI.f64))
1
#s(literal 1 binary64)
(/ (PI) 4)
(/.f64 (PI.f64) #s(literal 4 binary64))
(PI)
(PI.f64)
4
#s(literal 4 binary64)
(log (/ 2 (* f (+ (* (PI) 1/2) 0))))
(-.f64 #s(literal 0 binary64) (log.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f))))
(/ 2 (* f (+ (* (PI) 1/2) 0)))
(/.f64 #s(literal 4 binary64) (*.f64 (PI.f64) f))
2
#s(literal 2 binary64)
(* f (+ (* (PI) 1/2) 0))
(fma.f64 f (fma.f64 (PI.f64) #s(literal 1/2 binary64) #s(literal 0 binary64)) #s(literal 0 binary64))
f
(+ (* (PI) 1/2) 0)
(fma.f64 (PI.f64) #s(literal 1/2 binary64) #s(literal 0 binary64))
1/2
#s(literal 1/2 binary64)
0
#s(literal 0 binary64)
(/ 1 (/ (* (PI) 1/4) (log (tanh (* (* (PI) 1/4) f)))))
(fma.f64 (log.f64 (tanh.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f)))) (/.f64 #s(literal 4 binary64) (PI.f64)) #s(literal 0 binary64))
1
#s(literal 1 binary64)
(/ (* (PI) 1/4) (log (tanh (* (* (PI) 1/4) f))))
(/.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) (log.f64 (tanh.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f)))))
(* (PI) 1/4)
(*.f64 (PI.f64) #s(literal 1/4 binary64))
(PI)
(PI.f64)
1/4
#s(literal 1/4 binary64)
(log (tanh (* (* (PI) 1/4) f)))
(log.f64 (tanh.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f))))
(tanh (* (* (PI) 1/4) f))
(tanh.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f)))
(* (* (PI) 1/4) f)
(*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f))
f
(* (/ 1 (sqrt (PI))) (/ (log (tanh (* (* (PI) 1/4) f))) (* (sqrt (PI)) 1/4)))
(fma.f64 (log.f64 (tanh.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f)))) (/.f64 #s(literal 4 binary64) (PI.f64)) #s(literal 0 binary64))
(/ 1 (sqrt (PI)))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64)))
1
#s(literal 1 binary64)
(sqrt (PI))
(sqrt.f64 (PI.f64))
(PI)
(PI.f64)
(/ (log (tanh (* (* (PI) 1/4) f))) (* (sqrt (PI)) 1/4))
(/.f64 (log.f64 (tanh.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f)))) (*.f64 #s(literal 1/4 binary64) (sqrt.f64 (PI.f64))))
(log (tanh (* (* (PI) 1/4) f)))
(log.f64 (tanh.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f))))
(tanh (* (* (PI) 1/4) f))
(tanh.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f)))
(* (* (PI) 1/4) f)
(*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f))
(* (PI) 1/4)
(*.f64 (PI.f64) #s(literal 1/4 binary64))
1/4
#s(literal 1/4 binary64)
f
(* (sqrt (PI)) 1/4)
(*.f64 #s(literal 1/4 binary64) (sqrt.f64 (PI.f64)))
(* (- 0 (pow (/ (log (tanh (* (* (PI) 1/4) f))) (* (PI) -1/4)) 2)) (/ (* (PI) -1/4) (log (tanh (* (* (PI) 1/4) f)))))
(fma.f64 (PI.f64) (fma.f64 (pow.f64 (/.f64 (log.f64 (tanh.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f)))) (fma.f64 (PI.f64) #s(literal -1/4 binary64) #s(literal 0 binary64))) #s(literal 2 binary64)) (/.f64 #s(literal 1/4 binary64) (log.f64 (tanh.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f))))) #s(literal 0 binary64)) #s(literal 0 binary64))
(- 0 (pow (/ (log (tanh (* (* (PI) 1/4) f))) (* (PI) -1/4)) 2))
(-.f64 #s(literal 0 binary64) (pow.f64 (/.f64 (log.f64 (tanh.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f)))) (fma.f64 (PI.f64) #s(literal -1/4 binary64) #s(literal 0 binary64))) #s(literal 2 binary64)))
0
#s(literal 0 binary64)
(pow (/ (log (tanh (* (* (PI) 1/4) f))) (* (PI) -1/4)) 2)
(pow.f64 (/.f64 (log.f64 (tanh.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f)))) (fma.f64 (PI.f64) #s(literal -1/4 binary64) #s(literal 0 binary64))) #s(literal 2 binary64))
(/ (log (tanh (* (* (PI) 1/4) f))) (* (PI) -1/4))
(/.f64 (log.f64 (tanh.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f)))) (fma.f64 (PI.f64) #s(literal -1/4 binary64) #s(literal 0 binary64)))
(log (tanh (* (* (PI) 1/4) f)))
(log.f64 (tanh.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f))))
(tanh (* (* (PI) 1/4) f))
(tanh.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f)))
(* (* (PI) 1/4) f)
(*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f))
(* (PI) 1/4)
(*.f64 (PI.f64) #s(literal 1/4 binary64))
(PI)
(PI.f64)
1/4
#s(literal 1/4 binary64)
f
(* (PI) -1/4)
(fma.f64 (PI.f64) #s(literal -1/4 binary64) #s(literal 0 binary64))
-1/4
#s(literal -1/4 binary64)
2
#s(literal 2 binary64)
(/ (* (PI) -1/4) (log (tanh (* (* (PI) 1/4) f))))
(/.f64 (fma.f64 (PI.f64) #s(literal -1/4 binary64) #s(literal 0 binary64)) (log.f64 (tanh.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f)))))

localize188.0ms (1%)

Memory
50.9MiB live, 466.1MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
✓accuracy99.5%
(/.f64 (*.f64 (PI.f64) #s(literal -1/4 binary64)) (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))))
✓accuracy99.5%
(*.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (/.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (*.f64 (PI.f64) #s(literal -1/4 binary64))) #s(literal 2 binary64))) (/.f64 (*.f64 (PI.f64) #s(literal -1/4 binary64)) (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))))
✓accuracy99.3%
(pow.f64 (/.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (*.f64 (PI.f64) #s(literal -1/4 binary64))) #s(literal 2 binary64))
✓accuracy98.1%
(PI.f64)
✓accuracy99.6%
(*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)
✓accuracy99.4%
(/.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/4 binary64)))
✓accuracy98.5%
(sqrt.f64 (PI.f64))
✓accuracy98.1%
(PI.f64)
✓accuracy99.7%
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))))
✓accuracy99.6%
(*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)
✓accuracy99.5%
(/.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))))
✓accuracy98.1%
(PI.f64)
✓accuracy99.6%
(*.f64 f (fma.f64 (PI.f64) #s(literal 1/2 binary64) #s(literal 0 binary64)))
✓accuracy99.5%
(/.f64 #s(literal 2 binary64) (*.f64 f (fma.f64 (PI.f64) #s(literal 1/2 binary64) #s(literal 0 binary64))))
✓accuracy99.4%
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 #s(literal 2 binary64) (*.f64 f (fma.f64 (PI.f64) #s(literal 1/2 binary64) #s(literal 0 binary64))))))
✓accuracy98.1%
(PI.f64)
✓accuracy99.9%
(tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))
✓accuracy99.6%
(*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)
✓accuracy99.5%
(/.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (*.f64 (PI.f64) #s(literal 1/4 binary64)))
✓accuracy98.1%
(PI.f64)
Samples
81.0ms251×0valid
28.0ms5×4exit
Compiler

Compiled 330 to 38 computations (88.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 86.0ms
ival-div: 26.0ms (30.1% of total)
ival-mult: 22.0ms (25.5% of total)
ival-log: 22.0ms (25.5% of total)
ival-tanh: 6.0ms (6.9% of total)
ival-pow2: 2.0ms (2.3% of total)
ival-sqrt: 2.0ms (2.3% of total)
adjust: 1.0ms (1.2% of total)
ival-sub: 1.0ms (1.2% of total)
ival-pi: 1.0ms (1.2% of total)
exact: 1.0ms (1.2% of total)
ival-add: 1.0ms (1.2% of total)
ival-neg: 1.0ms (1.2% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series181.0ms (0.9%)

Memory
-45.8MiB live, 346.0MiB allocated
Counts
23 → 216
Calls
Call 1
Inputs
#<alt (log (tanh (* (* (PI) 1/4) f)))>
#<alt (tanh (* (* (PI) 1/4) f))>
#<alt (* (* (PI) 1/4) f)>
#<alt (* (PI) 1/4)>
#<alt (/ 1 (/ (PI) 4))>
#<alt (/ 2 (* f (+ (* (PI) 1/2) 0)))>
#<alt (log (/ 2 (* f (+ (* (PI) 1/2) 0))))>
#<alt (neg (* (/ 1 (/ (PI) 4)) (log (/ 2 (* f (+ (* (PI) 1/2) 0))))))>
#<alt (/ 1 (/ (* (PI) 1/4) (log (tanh (* (* (PI) 1/4) f)))))>
#<alt (/ (* (PI) 1/4) (log (tanh (* (* (PI) 1/4) f))))>
#<alt (PI)>
#<alt (* (/ 1 (sqrt (PI))) (/ (log (tanh (* (* (PI) 1/4) f))) (* (sqrt (PI)) 1/4)))>
#<alt (/ 1 (sqrt (PI)))>
#<alt (sqrt (PI))>
#<alt (* (- 0 (pow (/ (log (tanh (* (* (PI) 1/4) f))) (* (PI) -1/4)) 2)) (/ (* (PI) -1/4) (log (tanh (* (* (PI) 1/4) f)))))>
#<alt (- 0 (pow (/ (log (tanh (* (* (PI) 1/4) f))) (* (PI) -1/4)) 2))>
#<alt (pow (/ (log (tanh (* (* (PI) 1/4) f))) (* (PI) -1/4)) 2)>
#<alt (/ (log (tanh (* (* (PI) 1/4) f))) (* (PI) -1/4))>
#<alt (/ (log (tanh (* (* (PI) 1/4) f))) (* (PI) 1/4))>
#<alt (* (/ 1 (/ (PI) 4)) (log (/ 2 (* f (+ (* (PI) 1/2) 0)))))>
#<alt (* f (+ (* (PI) 1/2) 0))>
#<alt (/ (log (tanh (* (* (PI) 1/4) f))) (* (sqrt (PI)) 1/4))>
#<alt (/ (* (PI) -1/4) (log (tanh (* (* (PI) 1/4) f))))>
Outputs
#<alt (+ (log f) (log (* 1/4 (PI))))>
#<alt (+ (log f) (+ (log (* 1/4 (PI))) (* 2 (/ (* f (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2)))) (PI)))))>
#<alt (+ (log f) (+ (log (* 1/4 (PI))) (* f (+ (* 1/2 (* f (+ (* -4 (/ (pow (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) 2) (pow (PI) 2))) (* 8 (/ (- (* 1/2 (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (+ (* -1/128 (pow (PI) 3)) (* 1/192 (pow (PI) 3))))) (* 1/128 (pow (PI) 3))) (PI)))))) (* 2 (/ (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) (PI)))))))>
#<alt (+ (log f) (+ (log (* 1/4 (PI))) (* f (+ (* 2 (/ (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) (PI))) (* f (+ (* 1/6 (* f (+ (* -48 (/ (* (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) (- (* 1/2 (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (+ (* -1/128 (pow (PI) 3)) (* 1/192 (pow (PI) 3))))) (* 1/128 (pow (PI) 3)))) (pow (PI) 2))) (+ (* 16 (/ (pow (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) 3) (pow (PI) 3))) (* 24 (/ (- (* 1/2 (+ (* -1/4 (* (PI) (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (+ (* -1/128 (pow (PI) 3)) (* 1/384 (pow (PI) 3)))))) (+ (* -1/32 (* (pow (PI) 2) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (+ (* -1/1536 (pow (PI) 4)) (* 1/3072 (pow (PI) 4)))))) (+ (* -1/8 (* (PI) (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (* -1/128 (pow (PI) 3))))) (* 1/64 (* (pow (PI) 2) (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))))))) (PI))))))) (* 1/2 (+ (* -4 (/ (pow (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) 2) (pow (PI) 2))) (* 8 (/ (- (* 1/2 (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (+ (* -1/128 (pow (PI) 3)) (* 1/192 (pow (PI) 3))))) (* 1/128 (pow (PI) 3))) (PI)))))))))))>
#<alt (log (/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI))))))))>
#<alt (log (/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI))))))))>
#<alt (log (/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI))))))))>
#<alt (log (/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI))))))))>
#<alt (log (/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI))))))))>
#<alt (log (/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI))))))))>
#<alt (log (/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI))))))))>
#<alt (log (/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI))))))))>
#<alt (* 1/4 (* f (PI)))>
#<alt (* f (+ (* 1/4 (PI)) (* 1/2 (* f (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2)))))))>
#<alt (* f (+ (* 1/4 (PI)) (* f (+ (* 1/2 (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2)))) (* f (- (* 1/2 (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (+ (* -1/128 (pow (PI) 3)) (* 1/192 (pow (PI) 3))))) (* 1/128 (pow (PI) 3))))))))>
#<alt (* f (+ (* 1/4 (PI)) (* f (+ (* 1/2 (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2)))) (* f (- (+ (* 1/2 (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (+ (* -1/128 (pow (PI) 3)) (* 1/192 (pow (PI) 3))))) (* f (- (* 1/2 (+ (* -1/4 (* (PI) (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (+ (* -1/128 (pow (PI) 3)) (* 1/384 (pow (PI) 3)))))) (+ (* -1/32 (* (pow (PI) 2) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (+ (* -1/1536 (pow (PI) 4)) (* 1/3072 (pow (PI) 4)))))) (+ (* -1/8 (* (PI) (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (* -1/128 (pow (PI) 3))))) (* 1/64 (* (pow (PI) 2) (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))))))))) (* 1/128 (pow (PI) 3))))))))>
#<alt (/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))>
#<alt (/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))>
#<alt (/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))>
#<alt (/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))>
#<alt (/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))>
#<alt (/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))>
#<alt (/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))>
#<alt (/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))>
#<alt (* 1/4 (* f (PI)))>
#<alt (* 1/4 (* f (PI)))>
#<alt (* 1/4 (* f (PI)))>
#<alt (* 1/4 (* f (PI)))>
#<alt (* 1/4 (* f (PI)))>
#<alt (* 1/4 (* f (PI)))>
#<alt (* 1/4 (* f (PI)))>
#<alt (* 1/4 (* f (PI)))>
#<alt (* 1/4 (* f (PI)))>
#<alt (* 1/4 (* f (PI)))>
#<alt (* 1/4 (* f (PI)))>
#<alt (* 1/4 (* f (PI)))>
#<alt (/ 4 (* f (PI)))>
#<alt (/ 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 (+ (log (/ 4 (PI))) (* -1 (log f)))>
#<alt (+ (log (/ 4 (PI))) (* -1 (log f)))>
#<alt (+ (log (/ 4 (PI))) (* -1 (log f)))>
#<alt (+ (log (/ 4 (PI))) (* -1 (log f)))>
#<alt (+ (log (/ 1 f)) (log (/ 4 (PI))))>
#<alt (+ (log (/ 1 f)) (log (/ 4 (PI))))>
#<alt (+ (log (/ 1 f)) (log (/ 4 (PI))))>
#<alt (+ (log (/ 1 f)) (log (/ 4 (PI))))>
#<alt (+ (log (/ -4 (PI))) (log (/ -1 f)))>
#<alt (+ (log (/ -4 (PI))) (log (/ -1 f)))>
#<alt (+ (log (/ -4 (PI))) (log (/ -1 f)))>
#<alt (+ (log (/ -4 (PI))) (log (/ -1 f)))>
#<alt (* -4 (/ (+ (log (/ 4 (PI))) (* -1 (log f))) (PI)))>
#<alt (* -4 (/ (+ (log (/ 4 (PI))) (* -1 (log f))) (PI)))>
#<alt (* -4 (/ (+ (log (/ 4 (PI))) (* -1 (log f))) (PI)))>
#<alt (* -4 (/ (+ (log (/ 4 (PI))) (* -1 (log f))) (PI)))>
#<alt (* -4 (/ (+ (log (/ 1 f)) (log (/ 4 (PI)))) (PI)))>
#<alt (* -4 (/ (+ (log (/ 1 f)) (log (/ 4 (PI)))) (PI)))>
#<alt (* -4 (/ (+ (log (/ 1 f)) (log (/ 4 (PI)))) (PI)))>
#<alt (* -4 (/ (+ (log (/ 1 f)) (log (/ 4 (PI)))) (PI)))>
#<alt (* -4 (/ (+ (log (/ -4 (PI))) (log (/ -1 f))) (PI)))>
#<alt (* -4 (/ (+ (log (/ -4 (PI))) (log (/ -1 f))) (PI)))>
#<alt (* -4 (/ (+ (log (/ -4 (PI))) (log (/ -1 f))) (PI)))>
#<alt (* -4 (/ (+ (log (/ -4 (PI))) (log (/ -1 f))) (PI)))>
#<alt (* 4 (/ (+ (log f) (log (* 1/4 (PI)))) (PI)))>
#<alt (+ (* 4 (/ (+ (log f) (log (* 1/4 (PI)))) (PI))) (* 8 (/ (* f (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2)))) (pow (PI) 2))))>
#<alt (+ (* 4 (/ (+ (log f) (log (* 1/4 (PI)))) (PI))) (* f (+ (* 2 (/ (* f (+ (* -4 (/ (pow (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) 2) (pow (PI) 2))) (* 8 (/ (- (* 1/2 (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (+ (* -1/128 (pow (PI) 3)) (* 1/192 (pow (PI) 3))))) (* 1/128 (pow (PI) 3))) (PI))))) (PI))) (* 8 (/ (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) (pow (PI) 2))))))>
#<alt (+ (* 4 (/ (+ (log f) (log (* 1/4 (PI)))) (PI))) (* f (+ (* 8 (/ (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) (pow (PI) 2))) (* f (+ (* 2/3 (/ (* f (+ (* -48 (/ (* (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) (- (* 1/2 (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (+ (* -1/128 (pow (PI) 3)) (* 1/192 (pow (PI) 3))))) (* 1/128 (pow (PI) 3)))) (pow (PI) 2))) (+ (* 16 (/ (pow (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) 3) (pow (PI) 3))) (* 24 (/ (- (* 1/2 (+ (* -1/4 (* (PI) (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (+ (* -1/128 (pow (PI) 3)) (* 1/384 (pow (PI) 3)))))) (+ (* -1/32 (* (pow (PI) 2) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (+ (* -1/1536 (pow (PI) 4)) (* 1/3072 (pow (PI) 4)))))) (+ (* -1/8 (* (PI) (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (* -1/128 (pow (PI) 3))))) (* 1/64 (* (pow (PI) 2) (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))))))) (PI)))))) (PI))) (* 2 (/ (+ (* -4 (/ (pow (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) 2) (pow (PI) 2))) (* 8 (/ (- (* 1/2 (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (+ (* -1/128 (pow (PI) 3)) (* 1/192 (pow (PI) 3))))) (* 1/128 (pow (PI) 3))) (PI)))) (PI))))))))>
#<alt (* 4 (/ (log (/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))) (PI)))>
#<alt (* 4 (/ (log (/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))) (PI)))>
#<alt (* 4 (/ (log (/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))) (PI)))>
#<alt (* 4 (/ (log (/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))) (PI)))>
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#<alt (+ (* -1/4 (/ (PI) (+ (log f) (log (* 1/4 (PI)))))) (* f (+ (* 1/2 (/ (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) (pow (+ (log f) (log (* 1/4 (PI)))) 2))) (* f (+ (* 1/4 (* f (+ (* -2 (/ (* (+ (* -4 (/ (pow (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) 2) (* (PI) (pow (+ (log f) (log (* 1/4 (PI)))) 3)))) (* 1/2 (/ (* (PI) (+ (* -4 (/ (pow (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) 2) (pow (PI) 2))) (* 8 (/ (- (* 1/2 (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (+ (* -1/128 (pow (PI) 3)) (* 1/192 (pow (PI) 3))))) (* 1/128 (pow (PI) 3))) (PI))))) (pow (+ (log f) (log (* 1/4 (PI)))) 2)))) (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2)))) (* (PI) (+ (log f) (log (* 1/4 (PI))))))) (+ (* -1 (/ (* (+ (* -4 (/ (pow (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) 2) (pow (PI) 2))) (* 8 (/ (- (* 1/2 (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (+ (* -1/128 (pow (PI) 3)) (* 1/192 (pow (PI) 3))))) (* 1/128 (pow (PI) 3))) (PI)))) (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2)))) (pow (+ (log f) (log (* 1/4 (PI)))) 3))) (* 1/6 (/ (* (PI) (+ (* -48 (/ (* (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) (- (* 1/2 (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (+ (* -1/128 (pow (PI) 3)) (* 1/192 (pow (PI) 3))))) (* 1/128 (pow (PI) 3)))) (pow (PI) 2))) (+ (* 16 (/ (pow (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) 3) (pow (PI) 3))) (* 24 (/ (- (* 1/2 (+ (* -1/4 (* (PI) (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (+ (* -1/128 (pow (PI) 3)) (* 1/384 (pow (PI) 3)))))) (+ (* -1/32 (* (pow (PI) 2) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (+ (* -1/1536 (pow (PI) 4)) (* 1/3072 (pow (PI) 4)))))) (+ (* -1/8 (* (PI) (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (* -1/128 (pow (PI) 3))))) (* 1/64 (* (pow (PI) 2) (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))))))) (PI)))))) (pow (+ (log f) (log (* 1/4 (PI)))) 2))))))) (* 1/4 (+ (* -4 (/ (pow (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) 2) (* (PI) (pow (+ (log f) (log (* 1/4 (PI)))) 3)))) (* 1/2 (/ (* (PI) (+ (* -4 (/ (pow (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) 2) (pow (PI) 2))) (* 8 (/ (- (* 1/2 (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (+ (* -1/128 (pow (PI) 3)) (* 1/192 (pow (PI) 3))))) (* 1/128 (pow (PI) 3))) (PI))))) (pow (+ (log f) (log (* 1/4 (PI)))) 2))))))))))>
#<alt (* -1/4 (/ (PI) (log (/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI))))))))))>
#<alt (* -1/4 (/ (PI) (log (/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI))))))))))>
#<alt (* -1/4 (/ (PI) (log (/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI))))))))))>
#<alt (* -1/4 (/ (PI) (log (/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI))))))))))>
#<alt (* -1/4 (/ (PI) (log (/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI))))))))))>
#<alt (* -1/4 (/ (PI) (log (/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI))))))))))>
#<alt (* -1/4 (/ (PI) (log (/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI))))))))))>
#<alt (* -1/4 (/ (PI) (log (/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI))))))))))>
Calls

54 calls:

TimeVariablePointExpression
59.0ms
f
@-inf
(log (tanh (* (* (PI) 1/4) f)))
25.0ms
f
@inf
(log (tanh (* (* (PI) 1/4) f)))
21.0ms
f
@0
(log (tanh (* (* (PI) 1/4) f)))
15.0ms
f
@-inf
(log (/ 2 (* f (+ (* (PI) 1/2) 0))))
15.0ms
f
@0
(log (/ 2 (* f (+ (* (PI) 1/2) 0))))

rewrite402.0ms (2.1%)

Memory
5.9MiB live, 744.3MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
3 390×*-lowering-*.f32
3 390×*-lowering-*.f64
3 170×/-lowering-/.f32
3 170×/-lowering-/.f64
1 624×accelerator-lowering-fma.f32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
036198
1219190
21681189
08456189
Stop Event
1×iter limit
1×node limit
Counts
23 → 1 598
Calls
Call 1
Inputs
(log (tanh (* (* (PI) 1/4) f)))
(tanh (* (* (PI) 1/4) f))
(* (* (PI) 1/4) f)
(* (PI) 1/4)
(/ 1 (/ (PI) 4))
(/ 2 (* f (+ (* (PI) 1/2) 0)))
(log (/ 2 (* f (+ (* (PI) 1/2) 0))))
(neg (* (/ 1 (/ (PI) 4)) (log (/ 2 (* f (+ (* (PI) 1/2) 0))))))
(/ 1 (/ (* (PI) 1/4) (log (tanh (* (* (PI) 1/4) f)))))
(/ (* (PI) 1/4) (log (tanh (* (* (PI) 1/4) f))))
(PI)
(* (/ 1 (sqrt (PI))) (/ (log (tanh (* (* (PI) 1/4) f))) (* (sqrt (PI)) 1/4)))
(/ 1 (sqrt (PI)))
(sqrt (PI))
(* (- 0 (pow (/ (log (tanh (* (* (PI) 1/4) f))) (* (PI) -1/4)) 2)) (/ (* (PI) -1/4) (log (tanh (* (* (PI) 1/4) f)))))
(- 0 (pow (/ (log (tanh (* (* (PI) 1/4) f))) (* (PI) -1/4)) 2))
(pow (/ (log (tanh (* (* (PI) 1/4) f))) (* (PI) -1/4)) 2)
(/ (log (tanh (* (* (PI) 1/4) f))) (* (PI) -1/4))
(/ (log (tanh (* (* (PI) 1/4) f))) (* (PI) 1/4))
(* (/ 1 (/ (PI) 4)) (log (/ 2 (* f (+ (* (PI) 1/2) 0)))))
(* f (+ (* (PI) 1/2) 0))
(/ (log (tanh (* (* (PI) 1/4) f))) (* (sqrt (PI)) 1/4))
(/ (* (PI) -1/4) (log (tanh (* (* (PI) 1/4) f))))
Outputs
(log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))))
(+.f64 (log.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))))) (log.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))))))
(+.f64 (log.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))))) (neg.f64 (log.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))))))
(+.f64 (log.f64 (expm1.f64 (*.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)) #s(literal 2 binary64)))) (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)) #s(literal 2 binary64)))))))
(+.f64 (log.f64 (expm1.f64 (*.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)) #s(literal 2 binary64)))) (neg.f64 (log1p.f64 (exp.f64 (*.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)) #s(literal 2 binary64))))))
(+.f64 (log.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)) #s(literal -2 binary64))))) (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)) #s(literal -2 binary64)))))))
(+.f64 (log.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)) #s(literal -2 binary64))))) (neg.f64 (log1p.f64 (exp.f64 (*.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)) #s(literal -2 binary64))))))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))))) #s(literal -1 binary64)))
(exp.f64 (*.f64 (log.f64 (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))))) #s(literal 1 binary64)))
(-.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))))))
(-.f64 (log.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))))) (log.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))))))
(-.f64 (log.f64 (expm1.f64 (*.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)) #s(literal 2 binary64)))) (log1p.f64 (exp.f64 (*.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)) #s(literal 2 binary64)))))
(-.f64 (log.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)) #s(literal -2 binary64))))) (log1p.f64 (exp.f64 (*.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)) #s(literal -2 binary64)))))
(-.f64 (log.f64 (*.f64 #s(literal -2 binary64) (sinh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))))) (log.f64 (*.f64 #s(literal -2 binary64) (cosh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))))))
(-.f64 (log.f64 (-.f64 #s(literal 0 binary64) (expm1.f64 (*.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)) #s(literal 2 binary64))))) (log.f64 (+.f64 #s(literal -1 binary64) (neg.f64 (exp.f64 (*.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)) #s(literal 2 binary64)))))))
(-.f64 (log.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)) #s(literal -2 binary64)))))) (log.f64 (fma.f64 #s(literal -1 binary64) (exp.f64 (*.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)) #s(literal -2 binary64))) #s(literal -1 binary64))))
(-.f64 (/.f64 (log.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))))) #s(literal 1 binary64)) (/.f64 (log.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))))) #s(literal 1 binary64)))
(-.f64 (/.f64 (log.f64 (expm1.f64 (*.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)) #s(literal 2 binary64)))) #s(literal 1 binary64)) (/.f64 (log1p.f64 (exp.f64 (*.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)) #s(literal 2 binary64)))) #s(literal 1 binary64)))
(-.f64 (/.f64 (log.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)) #s(literal -2 binary64))))) #s(literal 1 binary64)) (/.f64 (log1p.f64 (exp.f64 (*.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)) #s(literal -2 binary64)))) #s(literal 1 binary64)))
(neg.f64 (-.f64 #s(literal 0 binary64) (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))))))
(/.f64 (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))))))
(/.f64 (-.f64 #s(literal 0 binary64) (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))))) #s(literal -1 binary64))
(/.f64 (-.f64 (pow.f64 (log.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))))) #s(literal 3 binary64)) (pow.f64 (log.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))))) #s(literal 3 binary64))) (fma.f64 (log.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))))) (log.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))))) (fma.f64 (log.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))))) (log.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))))) (*.f64 (log.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))))) (log.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))))))))
(/.f64 (-.f64 (pow.f64 (log.f64 (expm1.f64 (*.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)) #s(literal 2 binary64)))) #s(literal 3 binary64)) (pow.f64 (log1p.f64 (exp.f64 (*.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)) #s(literal 2 binary64)))) #s(literal 3 binary64))) (fma.f64 (log.f64 (expm1.f64 (*.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)) #s(literal 2 binary64)))) (log.f64 (expm1.f64 (*.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)) #s(literal 2 binary64)))) (fma.f64 (log1p.f64 (exp.f64 (*.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)) #s(literal 2 binary64)))) (log1p.f64 (exp.f64 (*.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)) #s(literal 2 binary64)))) (*.f64 (log.f64 (expm1.f64 (*.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)) #s(literal 2 binary64)))) (log1p.f64 (exp.f64 (*.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)) #s(literal 2 binary64))))))))
(/.f64 (-.f64 (pow.f64 (log.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)) #s(literal -2 binary64))))) #s(literal 3 binary64)) (pow.f64 (log1p.f64 (exp.f64 (*.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)) #s(literal -2 binary64)))) #s(literal 3 binary64))) (fma.f64 (log.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)) #s(literal -2 binary64))))) (log.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)) #s(literal -2 binary64))))) (fma.f64 (log1p.f64 (exp.f64 (*.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)) #s(literal -2 binary64)))) (log1p.f64 (exp.f64 (*.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)) #s(literal -2 binary64)))) (*.f64 (log.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)) #s(literal -2 binary64))))) (log1p.f64 (exp.f64 (*.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)) #s(literal -2 binary64))))))))
(/.f64 (-.f64 (*.f64 (log.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))))) (log.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))))) (*.f64 (log.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))))) (log.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))))))) (+.f64 (log.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))))) (log.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))))))
(/.f64 (-.f64 (*.f64 (log.f64 (expm1.f64 (*.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)) #s(literal 2 binary64)))) (log.f64 (expm1.f64 (*.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)) #s(literal 2 binary64))))) (*.f64 (log1p.f64 (exp.f64 (*.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)) #s(literal 2 binary64)))) (log1p.f64 (exp.f64 (*.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)) #s(literal 2 binary64)))))) (+.f64 (log.f64 (expm1.f64 (*.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)) #s(literal 2 binary64)))) (log1p.f64 (exp.f64 (*.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)) #s(literal 2 binary64))))))
(/.f64 (-.f64 (*.f64 (log.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)) #s(literal -2 binary64))))) (log.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)) #s(literal -2 binary64)))))) (*.f64 (log1p.f64 (exp.f64 (*.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)) #s(literal -2 binary64)))) (log1p.f64 (exp.f64 (*.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)) #s(literal -2 binary64)))))) (+.f64 (log.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)) #s(literal -2 binary64))))) (log1p.f64 (exp.f64 (*.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)) #s(literal -2 binary64))))))
(pow.f64 (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))))) #s(literal -1 binary64))
(*.f64 (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))))
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(*.f64 (/.f64 #s(literal 1 binary64) (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))))) (*.f64 (PI.f64) #s(literal -1/4 binary64)))
(*.f64 (/.f64 #s(literal -1/4 binary64) (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))))) (PI.f64))
(*.f64 (/.f64 #s(literal 1/4 binary64) (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))))) (-.f64 #s(literal 0 binary64) (PI.f64)))
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(*.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (PI.f64) #s(literal 2/3 binary64))) (/.f64 (cbrt.f64 (PI.f64)) (*.f64 (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))) #s(literal 4 binary64))))
(*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (PI.f64)) (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))))) #s(literal 1/4 binary64))
(*.f64 (pow.f64 (sqrt.f64 (/.f64 (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))) (*.f64 (PI.f64) #s(literal -1/4 binary64)))) #s(literal -1 binary64)) (pow.f64 (sqrt.f64 (/.f64 (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))) (*.f64 (PI.f64) #s(literal -1/4 binary64)))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))) (*.f64 (PI.f64) #s(literal -1/4 binary64))) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))) (*.f64 (PI.f64) #s(literal -1/4 binary64))) #s(literal -1/2 binary64)))

simplify411.0ms (2.1%)

Memory
60.0MiB live, 786.8MiB allocated
Algorithm
1×egg-herbie
Rules
7 514×accelerator-lowering-fma.f32
7 514×accelerator-lowering-fma.f64
3 590×+-lowering-+.f64
3 590×+-lowering-+.f32
3 516×*-lowering-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03398274
111446982
250845701
088645520
Stop Event
1×iter limit
1×node limit
Counts
216 → 216
Calls
Call 1
Inputs
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(+ (* -1/4 (/ (PI) (+ (log f) (log (* 1/4 (PI)))))) (* f (+ (* 1/4 (* f (+ (* -4 (/ (pow (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) 2) (* (PI) (pow (+ (log f) (log (* 1/4 (PI)))) 3)))) (* 1/2 (/ (* (PI) (+ (* -4 (/ (pow (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) 2) (pow (PI) 2))) (* 8 (/ (- (* 1/2 (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (+ (* -1/128 (pow (PI) 3)) (* 1/192 (pow (PI) 3))))) (* 1/128 (pow (PI) 3))) (PI))))) (pow (+ (log f) (log (* 1/4 (PI)))) 2)))))) (* 1/2 (/ (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) (pow (+ (log f) (log (* 1/4 (PI)))) 2))))))
(fma.f64 (fma.f64 f (/.f64 (*.f64 (fma.f64 (/.f64 (fma.f64 (*.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal -1/32 binary64))) #s(literal -1/8 binary64) (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal -7/768 binary64))) (PI.f64)) #s(literal 4 binary64) #s(literal 0 binary64)) (PI.f64)) (pow.f64 (+.f64 (log.f64 f) (log.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)))) #s(literal 2 binary64))) #s(literal 0 binary64)) (*.f64 f #s(literal 1/4 binary64)) (fma.f64 #s(literal -1/4 binary64) (/.f64 (PI.f64) (+.f64 (log.f64 f) (log.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64))))) #s(literal 0 binary64)))
(+ (* -1/4 (/ (PI) (+ (log f) (log (* 1/4 (PI)))))) (* f (+ (* 1/2 (/ (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) (pow (+ (log f) (log (* 1/4 (PI)))) 2))) (* f (+ (* 1/4 (* f (+ (* -2 (/ (* (+ (* -4 (/ (pow (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) 2) (* (PI) (pow (+ (log f) (log (* 1/4 (PI)))) 3)))) (* 1/2 (/ (* (PI) (+ (* -4 (/ (pow (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) 2) (pow (PI) 2))) (* 8 (/ (- (* 1/2 (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (+ (* -1/128 (pow (PI) 3)) (* 1/192 (pow (PI) 3))))) (* 1/128 (pow (PI) 3))) (PI))))) (pow (+ (log f) (log (* 1/4 (PI)))) 2)))) (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2)))) (* (PI) (+ (log f) (log (* 1/4 (PI))))))) (+ (* -1 (/ (* (+ (* -4 (/ (pow (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) 2) (pow (PI) 2))) (* 8 (/ (- (* 1/2 (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (+ (* -1/128 (pow (PI) 3)) (* 1/192 (pow (PI) 3))))) (* 1/128 (pow (PI) 3))) (PI)))) (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2)))) (pow (+ (log f) (log (* 1/4 (PI)))) 3))) (* 1/6 (/ (* (PI) (+ (* -48 (/ (* (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) (- (* 1/2 (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (+ (* -1/128 (pow (PI) 3)) (* 1/192 (pow (PI) 3))))) (* 1/128 (pow (PI) 3)))) (pow (PI) 2))) (+ (* 16 (/ (pow (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) 3) (pow (PI) 3))) (* 24 (/ (- (* 1/2 (+ (* -1/4 (* (PI) (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (+ (* -1/128 (pow (PI) 3)) (* 1/384 (pow (PI) 3)))))) (+ (* -1/32 (* (pow (PI) 2) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (+ (* -1/1536 (pow (PI) 4)) (* 1/3072 (pow (PI) 4)))))) (+ (* -1/8 (* (PI) (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (* -1/128 (pow (PI) 3))))) (* 1/64 (* (pow (PI) 2) (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))))))) (PI)))))) (pow (+ (log f) (log (* 1/4 (PI)))) 2))))))) (* 1/4 (+ (* -4 (/ (pow (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) 2) (* (PI) (pow (+ (log f) (log (* 1/4 (PI)))) 3)))) (* 1/2 (/ (* (PI) (+ (* -4 (/ (pow (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) 2) (pow (PI) 2))) (* 8 (/ (- (* 1/2 (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (+ (* -1/128 (pow (PI) 3)) (* 1/192 (pow (PI) 3))))) (* 1/128 (pow (PI) 3))) (PI))))) (pow (+ (log f) (log (* 1/4 (PI)))) 2))))))))))
(fma.f64 (fma.f64 #s(literal 1/4 binary64) (fma.f64 f (fma.f64 #s(literal 1/6 binary64) (/.f64 (fma.f64 (PI.f64) (/.f64 (*.f64 #s(literal 24 binary64) (fma.f64 #s(literal 1/2 binary64) (fma.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (PI.f64))) #s(literal -1/3072 binary64) (fma.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/1024 binary64) (*.f64 (*.f64 (PI.f64) (fma.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal -1/32 binary64)) #s(literal -1/4 binary64) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal -1/192 binary64)))) (*.f64 (PI.f64) #s(literal -1/4 binary64))))) (fma.f64 (*.f64 (PI.f64) (fma.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal -1/32 binary64)) #s(literal -1/4 binary64) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal -1/128 binary64)))) (*.f64 (PI.f64) #s(literal 1/8 binary64)) #s(literal 0 binary64)))) (PI.f64)) #s(literal 0 binary64)) (pow.f64 (+.f64 (log.f64 f) (log.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)))) #s(literal 2 binary64))) #s(literal 0 binary64)) (/.f64 (*.f64 (fma.f64 (/.f64 (fma.f64 (*.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal -1/32 binary64))) #s(literal -1/8 binary64) (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal -7/768 binary64))) (PI.f64)) #s(literal 4 binary64) #s(literal 0 binary64)) (PI.f64)) (pow.f64 (+.f64 (log.f64 f) (log.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)))) #s(literal 2 binary64)))) #s(literal 0 binary64)) (*.f64 f f) (/.f64 (*.f64 (PI.f64) #s(literal -1/4 binary64)) (+.f64 (log.f64 f) (log.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64))))))
(* -1/4 (/ (PI) (log (/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI))))))))))
(/.f64 (*.f64 (PI.f64) #s(literal -1/4 binary64)) (log.f64 (/.f64 (-.f64 (exp.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 f (PI.f64)))) (exp.f64 (*.f64 (PI.f64) (*.f64 f #s(literal -1/4 binary64))))) (+.f64 (exp.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 f (PI.f64)))) (exp.f64 (*.f64 (PI.f64) (*.f64 f #s(literal -1/4 binary64))))))))
(* -1/4 (/ (PI) (log (/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI))))))))))
(/.f64 (*.f64 (PI.f64) #s(literal -1/4 binary64)) (log.f64 (/.f64 (-.f64 (exp.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 f (PI.f64)))) (exp.f64 (*.f64 (PI.f64) (*.f64 f #s(literal -1/4 binary64))))) (+.f64 (exp.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 f (PI.f64)))) (exp.f64 (*.f64 (PI.f64) (*.f64 f #s(literal -1/4 binary64))))))))
(* -1/4 (/ (PI) (log (/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI))))))))))
(/.f64 (*.f64 (PI.f64) #s(literal -1/4 binary64)) (log.f64 (/.f64 (-.f64 (exp.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 f (PI.f64)))) (exp.f64 (*.f64 (PI.f64) (*.f64 f #s(literal -1/4 binary64))))) (+.f64 (exp.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 f (PI.f64)))) (exp.f64 (*.f64 (PI.f64) (*.f64 f #s(literal -1/4 binary64))))))))
(* -1/4 (/ (PI) (log (/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI))))))))))
(/.f64 (*.f64 (PI.f64) #s(literal -1/4 binary64)) (log.f64 (/.f64 (-.f64 (exp.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 f (PI.f64)))) (exp.f64 (*.f64 (PI.f64) (*.f64 f #s(literal -1/4 binary64))))) (+.f64 (exp.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 f (PI.f64)))) (exp.f64 (*.f64 (PI.f64) (*.f64 f #s(literal -1/4 binary64))))))))
(* -1/4 (/ (PI) (log (/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI))))))))))
(/.f64 (*.f64 (PI.f64) #s(literal -1/4 binary64)) (log.f64 (/.f64 (-.f64 (exp.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 f (PI.f64)))) (exp.f64 (*.f64 (PI.f64) (*.f64 f #s(literal -1/4 binary64))))) (+.f64 (exp.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 f (PI.f64)))) (exp.f64 (*.f64 (PI.f64) (*.f64 f #s(literal -1/4 binary64))))))))
(* -1/4 (/ (PI) (log (/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI))))))))))
(/.f64 (*.f64 (PI.f64) #s(literal -1/4 binary64)) (log.f64 (/.f64 (-.f64 (exp.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 f (PI.f64)))) (exp.f64 (*.f64 (PI.f64) (*.f64 f #s(literal -1/4 binary64))))) (+.f64 (exp.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 f (PI.f64)))) (exp.f64 (*.f64 (PI.f64) (*.f64 f #s(literal -1/4 binary64))))))))
(* -1/4 (/ (PI) (log (/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI))))))))))
(/.f64 (*.f64 (PI.f64) #s(literal -1/4 binary64)) (log.f64 (/.f64 (-.f64 (exp.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 f (PI.f64)))) (exp.f64 (*.f64 (PI.f64) (*.f64 f #s(literal -1/4 binary64))))) (+.f64 (exp.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 f (PI.f64)))) (exp.f64 (*.f64 (PI.f64) (*.f64 f #s(literal -1/4 binary64))))))))
(* -1/4 (/ (PI) (log (/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI))))))))))
(/.f64 (*.f64 (PI.f64) #s(literal -1/4 binary64)) (log.f64 (/.f64 (-.f64 (exp.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 f (PI.f64)))) (exp.f64 (*.f64 (PI.f64) (*.f64 f #s(literal -1/4 binary64))))) (+.f64 (exp.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 f (PI.f64)))) (exp.f64 (*.f64 (PI.f64) (*.f64 f #s(literal -1/4 binary64))))))))

eval1.1s (5.8%)

Memory
-26.6MiB live, 995.7MiB allocated
Compiler

Compiled 96 605 to 8 184 computations (91.5% saved)

prune726.0ms (3.8%)

Memory
9.9MiB live, 733.0MiB allocated
Pruning

19 alts after pruning (18 fresh and 1 done)

PrunedKeptTotal
New3 341163 357
Fresh8210
Picked415
Done000
Total3 353193 372
Accuracy
100.0%
Counts
3 372 → 19
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶99.3%
(/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (/.f64 #s(literal 1 binary64) (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))))))
▶99.5%
(/.f64 (log.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (tanh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))))) (*.f64 (PI.f64) #s(literal 1/4 binary64)))
▶96.6%
(/.f64 (log.f64 (*.f64 f (fma.f64 (fma.f64 (*.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal -1/32 binary64))) #s(literal -1/8 binary64) (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal -7/768 binary64))) (*.f64 f f) (*.f64 #s(literal 1/4 binary64) (PI.f64))))) (*.f64 (PI.f64) #s(literal 1/4 binary64)))
▶96.0%
(/.f64 (log.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 f (PI.f64)))) (*.f64 (PI.f64) #s(literal 1/4 binary64)))
99.0%
(/.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64)))) #s(literal 1/4 binary64)))
✓99.5%
(/.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (*.f64 (PI.f64) #s(literal 1/4 binary64)))
95.9%
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) (log.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 f (PI.f64))))))
99.3%
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1/4 binary64) (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))))) (PI.f64)))
95.8%
(-.f64 (/.f64 (-.f64 #s(literal 0 binary64) (log.f64 (*.f64 f #s(literal 1/2 binary64)))) (*.f64 (PI.f64) #s(literal -1/4 binary64))) (/.f64 (log.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) #s(literal 0 binary64))) (*.f64 (PI.f64) #s(literal -1/4 binary64))))
95.7%
(-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) (*.f64 (PI.f64) #s(literal -1/4 binary64))) (/.f64 (log.f64 (fma.f64 f (fma.f64 (PI.f64) #s(literal 1/2 binary64) #s(literal 0 binary64)) #s(literal 0 binary64))) (*.f64 (PI.f64) #s(literal -1/4 binary64))))
95.9%
(*.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (log.f64 (*.f64 f (*.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) #s(literal 0 binary64)) #s(literal 1/2 binary64)))))
95.8%
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64))) (/.f64 (log.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 f (PI.f64)))) (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/4 binary64))))
▶95.9%
(neg.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/4 binary64) (/.f64 (-.f64 #s(literal 0 binary64) (log.f64 (*.f64 f (*.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) #s(literal 0 binary64)) #s(literal 1/2 binary64))))) (PI.f64)))))
95.9%
(neg.f64 (*.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (log.f64 (/.f64 #s(literal 2 binary64) (*.f64 f (fma.f64 (PI.f64) #s(literal 1/2 binary64) #s(literal 0 binary64)))))))
95.8%
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (log.f64 (*.f64 f (*.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) #s(literal 0 binary64)) #s(literal 1/2 binary64)))))))))
96.5%
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (fma.f64 f (fma.f64 f (fma.f64 (*.f64 (PI.f64) #s(literal 1/48 binary64)) #s(literal -2 binary64) (fma.f64 (PI.f64) #s(literal 1/8 binary64) #s(literal 0 binary64))) #s(literal 0 binary64)) (/.f64 #s(literal 4 binary64) (PI.f64))) f))))
95.9%
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) (*.f64 (/.f64 #s(literal 2 binary64) f) #s(literal 2 binary64)))))))
99.4%
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 #s(literal 1 binary64) (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))))))
95.5%
(neg.f64 (*.f64 (*.f64 (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64)))) (log.f64 (/.f64 #s(literal 2 binary64) (*.f64 f (fma.f64 (PI.f64) #s(literal 1/2 binary64) #s(literal 0 binary64)))))))
Compiler

Compiled 676 to 502 computations (25.7% saved)

simplify394.0ms (2.1%)

Memory
15.2MiB live, 791.7MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(/.f64 #s(literal 1 binary64) (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))))
✓cost-diff0
(PI.f64)
✓cost-diff0
(/.f64 #s(literal 4 binary64) (PI.f64))
✓cost-diff1024
(/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (/.f64 #s(literal 1 binary64) (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))))))
✓cost-diff0
(log.f64 (*.f64 f (fma.f64 (fma.f64 (*.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal -1/32 binary64))) #s(literal -1/8 binary64) (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal -7/768 binary64))) (*.f64 f f) (*.f64 #s(literal 1/4 binary64) (PI.f64)))))
✓cost-diff0
(/.f64 (log.f64 (*.f64 f (fma.f64 (fma.f64 (*.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal -1/32 binary64))) #s(literal -1/8 binary64) (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal -7/768 binary64))) (*.f64 f f) (*.f64 #s(literal 1/4 binary64) (PI.f64))))) (*.f64 (PI.f64) #s(literal 1/4 binary64)))
✓cost-diff320
(fma.f64 (fma.f64 (*.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal -1/32 binary64))) #s(literal -1/8 binary64) (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal -7/768 binary64))) (*.f64 f f) (*.f64 #s(literal 1/4 binary64) (PI.f64)))
✓cost-diff1408
(fma.f64 (*.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal -1/32 binary64))) #s(literal -1/8 binary64) (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal -7/768 binary64)))
✓cost-diff128
(neg.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/4 binary64) (/.f64 (-.f64 #s(literal 0 binary64) (log.f64 (*.f64 f (*.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) #s(literal 0 binary64)) #s(literal 1/2 binary64))))) (PI.f64)))))
✓cost-diff320
(*.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) #s(literal 0 binary64)) #s(literal 1/2 binary64))
✓cost-diff512
(/.f64 #s(literal 1/4 binary64) (/.f64 (-.f64 #s(literal 0 binary64) (log.f64 (*.f64 f (*.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) #s(literal 0 binary64)) #s(literal 1/2 binary64))))) (PI.f64)))
✓cost-diff704
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/4 binary64) (/.f64 (-.f64 #s(literal 0 binary64) (log.f64 (*.f64 f (*.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) #s(literal 0 binary64)) #s(literal 1/2 binary64))))) (PI.f64))))
✓cost-diff0
(PI.f64)
✓cost-diff0
(*.f64 #s(literal 1/4 binary64) (*.f64 f (PI.f64)))
✓cost-diff0
(log.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 f (PI.f64))))
✓cost-diff0
(/.f64 (log.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 f (PI.f64)))) (*.f64 (PI.f64) #s(literal 1/4 binary64)))
✓cost-diff0
(/.f64 #s(literal 1 binary64) (tanh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))))
✓cost-diff0
(log.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (tanh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))))))
✓cost-diff0
(/.f64 (log.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (tanh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))))) (*.f64 (PI.f64) #s(literal 1/4 binary64)))
✓cost-diff1408
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (tanh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))))
Rules
11 644×accelerator-lowering-fma.f32
11 644×accelerator-lowering-fma.f64
4 820×*-lowering-*.f32
4 820×*-lowering-*.f64
1 768×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
050356
1145338
2383306
31128306
43802306
57190306
08087302
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(/ (log (/ 1 (/ 1 (tanh (* (PI) (* 1/4 f)))))) (* (PI) 1/4))
(log (/ 1 (/ 1 (tanh (* (PI) (* 1/4 f))))))
(/ 1 (/ 1 (tanh (* (PI) (* 1/4 f)))))
1
(/ 1 (tanh (* (PI) (* 1/4 f))))
(tanh (* (PI) (* 1/4 f)))
(* (PI) (* 1/4 f))
(PI)
(* 1/4 f)
1/4
f
(* (PI) 1/4)
(/ (log (* 1/4 (* f (PI)))) (* (PI) 1/4))
(log (* 1/4 (* f (PI))))
(* 1/4 (* f (PI)))
1/4
(* f (PI))
f
(PI)
(* (PI) 1/4)
(neg (/ 1 (/ 1/4 (/ (- 0 (log (* f (* (+ (* (PI) 1/2) 0) 1/2)))) (PI)))))
(/ 1 (/ 1/4 (/ (- 0 (log (* f (* (+ (* (PI) 1/2) 0) 1/2)))) (PI))))
1
(/ 1/4 (/ (- 0 (log (* f (* (+ (* (PI) 1/2) 0) 1/2)))) (PI)))
1/4
(/ (- 0 (log (* f (* (+ (* (PI) 1/2) 0) 1/2)))) (PI))
(- 0 (log (* f (* (+ (* (PI) 1/2) 0) 1/2))))
0
(log (* f (* (+ (* (PI) 1/2) 0) 1/2)))
(* f (* (+ (* (PI) 1/2) 0) 1/2))
f
(* (+ (* (PI) 1/2) 0) 1/2)
(+ (* (PI) 1/2) 0)
(PI)
1/2
(/ (log (* f (+ (* (+ (* (* (PI) (* (* (PI) (PI)) -1/32)) -1/8) (* (* (PI) (* (PI) (PI))) -7/768)) (* f f)) (* 1/4 (PI))))) (* (PI) 1/4))
(log (* f (+ (* (+ (* (* (PI) (* (* (PI) (PI)) -1/32)) -1/8) (* (* (PI) (* (PI) (PI))) -7/768)) (* f f)) (* 1/4 (PI)))))
(* f (+ (* (+ (* (* (PI) (* (* (PI) (PI)) -1/32)) -1/8) (* (* (PI) (* (PI) (PI))) -7/768)) (* f f)) (* 1/4 (PI))))
f
(+ (* (+ (* (* (PI) (* (* (PI) (PI)) -1/32)) -1/8) (* (* (PI) (* (PI) (PI))) -7/768)) (* f f)) (* 1/4 (PI)))
(+ (* (* (PI) (* (* (PI) (PI)) -1/32)) -1/8) (* (* (PI) (* (PI) (PI))) -7/768))
(* (PI) (* (* (PI) (PI)) -1/32))
(PI)
(* (* (PI) (PI)) -1/32)
(* (PI) (PI))
-1/32
-1/8
(* (* (PI) (* (PI) (PI))) -7/768)
(* (PI) (* (PI) (PI)))
-7/768
(* f f)
(* 1/4 (PI))
1/4
(* (PI) 1/4)
(/ (/ 4 (PI)) (/ 1 (log (tanh (* (PI) (* 1/4 f))))))
(/ 4 (PI))
4
(PI)
(/ 1 (log (tanh (* (PI) (* 1/4 f)))))
1
(log (tanh (* (PI) (* 1/4 f))))
(tanh (* (PI) (* 1/4 f)))
(* (PI) (* 1/4 f))
(* 1/4 f)
1/4
f
Outputs
(/ (log (/ 1 (/ 1 (tanh (* (PI) (* 1/4 f)))))) (* (PI) 1/4))
(fma.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (log.f64 (tanh.f64 (fma.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f) #s(literal 0 binary64)))) #s(literal 0 binary64))
(log (/ 1 (/ 1 (tanh (* (PI) (* 1/4 f))))))
(log.f64 (tanh.f64 (fma.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f) #s(literal 0 binary64))))
(/ 1 (/ 1 (tanh (* (PI) (* 1/4 f)))))
(tanh.f64 (fma.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f) #s(literal 0 binary64)))
1
#s(literal 1 binary64)
(/ 1 (tanh (* (PI) (* 1/4 f))))
(/.f64 #s(literal 1 binary64) (tanh.f64 (fma.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f) #s(literal 0 binary64))))
(tanh (* (PI) (* 1/4 f)))
(tanh.f64 (fma.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f) #s(literal 0 binary64)))
(* (PI) (* 1/4 f))
(fma.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f) #s(literal 0 binary64))
(PI)
(PI.f64)
(* 1/4 f)
(*.f64 #s(literal 1/4 binary64) f)
1/4
#s(literal 1/4 binary64)
f
(* (PI) 1/4)
(fma.f64 (PI.f64) #s(literal 1/4 binary64) #s(literal 0 binary64))
(/ (log (* 1/4 (* f (PI)))) (* (PI) 1/4))
(fma.f64 (log.f64 (fma.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f) #s(literal 0 binary64))) (/.f64 #s(literal 4 binary64) (PI.f64)) #s(literal 0 binary64))
(log (* 1/4 (* f (PI))))
(log.f64 (fma.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f) #s(literal 0 binary64)))
(* 1/4 (* f (PI)))
(fma.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f) #s(literal 0 binary64))
1/4
#s(literal 1/4 binary64)
(* f (PI))
(fma.f64 (PI.f64) f #s(literal 0 binary64))
f
(PI)
(PI.f64)
(* (PI) 1/4)
(fma.f64 (PI.f64) #s(literal 1/4 binary64) #s(literal 0 binary64))
(neg (/ 1 (/ 1/4 (/ (- 0 (log (* f (* (+ (* (PI) 1/2) 0) 1/2)))) (PI)))))
(fma.f64 (log.f64 (fma.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f) #s(literal 0 binary64))) (/.f64 #s(literal 4 binary64) (PI.f64)) #s(literal 0 binary64))
(/ 1 (/ 1/4 (/ (- 0 (log (* f (* (+ (* (PI) 1/2) 0) 1/2)))) (PI))))
(fma.f64 (log.f64 (fma.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f) #s(literal 0 binary64))) (/.f64 #s(literal -4 binary64) (PI.f64)) #s(literal 0 binary64))
1
#s(literal 1 binary64)
(/ 1/4 (/ (- 0 (log (* f (* (+ (* (PI) 1/2) 0) 1/2)))) (PI)))
(/.f64 (fma.f64 (PI.f64) #s(literal -1/4 binary64) #s(literal 0 binary64)) (log.f64 (fma.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f) #s(literal 0 binary64))))
1/4
#s(literal 1/4 binary64)
(/ (- 0 (log (* f (* (+ (* (PI) 1/2) 0) 1/2)))) (PI))
(/.f64 (log.f64 (fma.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f) #s(literal 0 binary64))) (-.f64 #s(literal 0 binary64) (PI.f64)))
(- 0 (log (* f (* (+ (* (PI) 1/2) 0) 1/2))))
(-.f64 #s(literal 0 binary64) (log.f64 (fma.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f) #s(literal 0 binary64))))
0
#s(literal 0 binary64)
(log (* f (* (+ (* (PI) 1/2) 0) 1/2)))
(log.f64 (fma.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f) #s(literal 0 binary64)))
(* f (* (+ (* (PI) 1/2) 0) 1/2))
(fma.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f) #s(literal 0 binary64))
f
(* (+ (* (PI) 1/2) 0) 1/2)
(fma.f64 (PI.f64) #s(literal 1/4 binary64) #s(literal 0 binary64))
(+ (* (PI) 1/2) 0)
(fma.f64 (PI.f64) #s(literal 1/2 binary64) #s(literal 0 binary64))
(PI)
(PI.f64)
1/2
#s(literal 1/2 binary64)
(/ (log (* f (+ (* (+ (* (* (PI) (* (* (PI) (PI)) -1/32)) -1/8) (* (* (PI) (* (PI) (PI))) -7/768)) (* f f)) (* 1/4 (PI))))) (* (PI) 1/4))
(/.f64 (log.f64 (fma.f64 (PI.f64) (*.f64 f (fma.f64 (*.f64 f f) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal -1/192 binary64)) #s(literal 1/4 binary64))) #s(literal 0 binary64))) (fma.f64 (PI.f64) #s(literal 1/4 binary64) #s(literal 0 binary64)))
(log (* f (+ (* (+ (* (* (PI) (* (* (PI) (PI)) -1/32)) -1/8) (* (* (PI) (* (PI) (PI))) -7/768)) (* f f)) (* 1/4 (PI)))))
(log.f64 (fma.f64 (PI.f64) (*.f64 f (fma.f64 (*.f64 f f) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal -1/192 binary64)) #s(literal 1/4 binary64))) #s(literal 0 binary64)))
(* f (+ (* (+ (* (* (PI) (* (* (PI) (PI)) -1/32)) -1/8) (* (* (PI) (* (PI) (PI))) -7/768)) (* f f)) (* 1/4 (PI))))
(fma.f64 (PI.f64) (*.f64 f (fma.f64 (*.f64 f f) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal -1/192 binary64)) #s(literal 1/4 binary64))) #s(literal 0 binary64))
f
(+ (* (+ (* (* (PI) (* (* (PI) (PI)) -1/32)) -1/8) (* (* (PI) (* (PI) (PI))) -7/768)) (* f f)) (* 1/4 (PI)))
(fma.f64 (PI.f64) (fma.f64 (*.f64 f f) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal -1/192 binary64)) #s(literal 1/4 binary64)) #s(literal 0 binary64))
(+ (* (* (PI) (* (* (PI) (PI)) -1/32)) -1/8) (* (* (PI) (* (PI) (PI))) -7/768))
(*.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal -1/192 binary64)))
(* (PI) (* (* (PI) (PI)) -1/32))
(*.f64 (*.f64 (PI.f64) (PI.f64)) (fma.f64 (PI.f64) #s(literal -1/32 binary64) #s(literal 0 binary64)))
(PI)
(PI.f64)
(* (* (PI) (PI)) -1/32)
(*.f64 (PI.f64) (fma.f64 (PI.f64) #s(literal -1/32 binary64) #s(literal 0 binary64)))
(* (PI) (PI))
(*.f64 (PI.f64) (PI.f64))
-1/32
#s(literal -1/32 binary64)
-1/8
#s(literal -1/8 binary64)
(* (* (PI) (* (PI) (PI))) -7/768)
(*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal -7/768 binary64))
(* (PI) (* (PI) (PI)))
(*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))
-7/768
#s(literal -7/768 binary64)
(* f f)
(*.f64 f f)
(* 1/4 (PI))
(fma.f64 (PI.f64) #s(literal 1/4 binary64) #s(literal 0 binary64))
1/4
#s(literal 1/4 binary64)
(* (PI) 1/4)
(fma.f64 (PI.f64) #s(literal 1/4 binary64) #s(literal 0 binary64))
(/ (/ 4 (PI)) (/ 1 (log (tanh (* (PI) (* 1/4 f))))))
(fma.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (log.f64 (tanh.f64 (fma.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f) #s(literal 0 binary64)))) #s(literal 0 binary64))
(/ 4 (PI))
(/.f64 #s(literal 4 binary64) (PI.f64))
4
#s(literal 4 binary64)
(PI)
(PI.f64)
(/ 1 (log (tanh (* (PI) (* 1/4 f)))))
(/.f64 #s(literal 1 binary64) (log.f64 (tanh.f64 (fma.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f) #s(literal 0 binary64)))))
1
#s(literal 1 binary64)
(log (tanh (* (PI) (* 1/4 f))))
(log.f64 (tanh.f64 (fma.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f) #s(literal 0 binary64))))
(tanh (* (PI) (* 1/4 f)))
(tanh.f64 (fma.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f) #s(literal 0 binary64)))
(* (PI) (* 1/4 f))
(fma.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f) #s(literal 0 binary64))
(* 1/4 f)
(*.f64 #s(literal 1/4 binary64) f)
1/4
#s(literal 1/4 binary64)
f

localize252.0ms (1.3%)

Memory
-26.2MiB live, 502.5MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
✓accuracy99.6%
(/.f64 #s(literal 1 binary64) (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))))
✓accuracy99.6%
(*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))
✓accuracy99.4%
(/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (/.f64 #s(literal 1 binary64) (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))))))
✓accuracy98.1%
(PI.f64)
✓accuracy98.5%
(*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal -7/768 binary64))
✓accuracy98.5%
(*.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal -1/32 binary64)))
✓accuracy98.5%
(*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))
✓accuracy98.1%
(PI.f64)
✓accuracy99.6%
(/.f64 #s(literal 1/4 binary64) (/.f64 (-.f64 #s(literal 0 binary64) (log.f64 (*.f64 f (*.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) #s(literal 0 binary64)) #s(literal 1/2 binary64))))) (PI.f64)))
✓accuracy99.6%
(*.f64 f (*.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) #s(literal 0 binary64)) #s(literal 1/2 binary64)))
✓accuracy99.5%
(/.f64 (-.f64 #s(literal 0 binary64) (log.f64 (*.f64 f (*.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) #s(literal 0 binary64)) #s(literal 1/2 binary64))))) (PI.f64))
✓accuracy98.1%
(PI.f64)
✓accuracy100.0%
(log.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 f (PI.f64))))
✓accuracy99.6%
(*.f64 f (PI.f64))
✓accuracy99.5%
(/.f64 (log.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 f (PI.f64)))) (*.f64 (PI.f64) #s(literal 1/4 binary64)))
✓accuracy98.1%
(PI.f64)
✓accuracy99.6%
(*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))
✓accuracy99.5%
(/.f64 #s(literal 1 binary64) (tanh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))))
✓accuracy99.5%
(/.f64 (log.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (tanh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))))) (*.f64 (PI.f64) #s(literal 1/4 binary64)))
✓accuracy98.1%
(PI.f64)
Samples
116.0ms251×0valid
2.0ms5×0invalid
Compiler

Compiled 417 to 52 computations (87.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 76.0ms
ival-mult: 24.0ms (31.8% of total)
ival-div: 23.0ms (30.4% of total)
ival-log: 15.0ms (19.9% of total)
const: 4.0ms (5.3% of total)
ival-add: 3.0ms (4% of total)
ival-pi: 1.0ms (1.3% of total)
ival-sub: 1.0ms (1.3% of total)
ival-tanh: 1.0ms (1.3% of total)
exact: 1.0ms (1.3% of total)
ival-neg: 1.0ms (1.3% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series138.0ms (0.7%)

Memory
4.3MiB live, 271.5MiB allocated
Counts
26 → 228
Calls
Call 1
Inputs
#<alt (/ 1 (/ 1 (tanh (* (PI) (* 1/4 f)))))>
#<alt (/ (log (/ 1 (/ 1 (tanh (* (PI) (* 1/4 f)))))) (* (PI) 1/4))>
#<alt (log (/ 1 (/ 1 (tanh (* (PI) (* 1/4 f))))))>
#<alt (/ 1 (tanh (* (PI) (* 1/4 f))))>
#<alt (/ (log (* 1/4 (* f (PI)))) (* (PI) 1/4))>
#<alt (log (* 1/4 (* f (PI))))>
#<alt (* 1/4 (* f (PI)))>
#<alt (PI)>
#<alt (/ 1 (/ 1/4 (/ (- 0 (log (* f (* (+ (* (PI) 1/2) 0) 1/2)))) (PI))))>
#<alt (/ 1/4 (/ (- 0 (log (* f (* (+ (* (PI) 1/2) 0) 1/2)))) (PI)))>
#<alt (* (+ (* (PI) 1/2) 0) 1/2)>
#<alt (neg (/ 1 (/ 1/4 (/ (- 0 (log (* f (* (+ (* (PI) 1/2) 0) 1/2)))) (PI)))))>
#<alt (+ (* (* (PI) (* (* (PI) (PI)) -1/32)) -1/8) (* (* (PI) (* (PI) (PI))) -7/768))>
#<alt (+ (* (+ (* (* (PI) (* (* (PI) (PI)) -1/32)) -1/8) (* (* (PI) (* (PI) (PI))) -7/768)) (* f f)) (* 1/4 (PI)))>
#<alt (/ (log (* f (+ (* (+ (* (* (PI) (* (* (PI) (PI)) -1/32)) -1/8) (* (* (PI) (* (PI) (PI))) -7/768)) (* f f)) (* 1/4 (PI))))) (* (PI) 1/4))>
#<alt (log (* f (+ (* (+ (* (* (PI) (* (* (PI) (PI)) -1/32)) -1/8) (* (* (PI) (* (PI) (PI))) -7/768)) (* f f)) (* 1/4 (PI)))))>
#<alt (/ (/ 4 (PI)) (/ 1 (log (tanh (* (PI) (* 1/4 f))))))>
#<alt (/ 4 (PI))>
#<alt (/ 1 (log (tanh (* (PI) (* 1/4 f)))))>
#<alt (* (PI) (* 1/4 f))>
#<alt (* f (PI))>
#<alt (/ (- 0 (log (* f (* (+ (* (PI) 1/2) 0) 1/2)))) (PI))>
#<alt (* f (* (+ (* (PI) 1/2) 0) 1/2))>
#<alt (* (PI) (* (PI) (PI)))>
#<alt (* (PI) (* (* (PI) (PI)) -1/32))>
#<alt (* (* (PI) (* (PI) (PI))) -7/768)>
Outputs
#<alt (* 1/4 (* f (PI)))>
#<alt (* f (+ (* 1/4 (PI)) (* 1/2 (* f (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2)))))))>
#<alt (* f (+ (* 1/4 (PI)) (* f (+ (* 1/2 (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2)))) (* f (- (* 1/2 (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (+ (* -1/128 (pow (PI) 3)) (* 1/192 (pow (PI) 3))))) (* 1/128 (pow (PI) 3))))))))>
#<alt (* f (+ (* 1/4 (PI)) (* f (+ (* 1/2 (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2)))) (* f (- (+ (* 1/2 (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (+ (* -1/128 (pow (PI) 3)) (* 1/192 (pow (PI) 3))))) (* f (- (* 1/2 (+ (* -1/4 (* (PI) (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (+ (* -1/128 (pow (PI) 3)) (* 1/384 (pow (PI) 3)))))) (+ (* -1/32 (* (pow (PI) 2) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (+ (* -1/1536 (pow (PI) 4)) (* 1/3072 (pow (PI) 4)))))) (+ (* -1/8 (* (PI) (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (* -1/128 (pow (PI) 3))))) (* 1/64 (* (pow (PI) 2) (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))))))))) (* 1/128 (pow (PI) 3))))))))>
#<alt (/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))>
#<alt (/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))>
#<alt (/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))>
#<alt (/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))>
#<alt (/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))>
#<alt (/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))>
#<alt (/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))>
#<alt (/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))>
#<alt (* 4 (/ (+ (log f) (log (* 1/4 (PI)))) (PI)))>
#<alt (+ (* 4 (/ (+ (log f) (log (* 1/4 (PI)))) (PI))) (* 8 (/ (* f (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2)))) (pow (PI) 2))))>
#<alt (+ (* 4 (/ (+ (log f) (log (* 1/4 (PI)))) (PI))) (* f (+ (* 2 (/ (* f (+ (* -4 (/ (pow (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) 2) (pow (PI) 2))) (* 8 (/ (- (* 1/2 (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (+ (* -1/128 (pow (PI) 3)) (* 1/192 (pow (PI) 3))))) (* 1/128 (pow (PI) 3))) (PI))))) (PI))) (* 8 (/ (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) (pow (PI) 2))))))>
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#<alt (+ (log f) (+ (log (* 1/4 (PI))) (* (pow f 2) (+ (* 4 (/ (+ (* -7/768 (pow (PI) 3)) (* 1/256 (pow (PI) 3))) (PI))) (* (pow f 2) (+ (* -8 (/ (pow (+ (* -7/768 (pow (PI) 3)) (* 1/256 (pow (PI) 3))) 2) (pow (PI) 2))) (* 64/3 (/ (* (pow f 2) (pow (+ (* -7/768 (pow (PI) 3)) (* 1/256 (pow (PI) 3))) 3)) (pow (PI) 3)))))))))>
#<alt (+ (log (+ (* -7/768 (pow (PI) 3)) (* 1/256 (pow (PI) 3)))) (* -3 (log (/ 1 f))))>
#<alt (+ (log (+ (* -7/768 (pow (PI) 3)) (* 1/256 (pow (PI) 3)))) (+ (* -3 (log (/ 1 f))) (* 1/4 (/ (PI) (* (pow f 2) (+ (* -7/768 (pow (PI) 3)) (* 1/256 (pow (PI) 3))))))))>
#<alt (+ (log (+ (* -7/768 (pow (PI) 3)) (* 1/256 (pow (PI) 3)))) (+ (* -3 (log (/ 1 f))) (+ (* -1/32 (/ (pow (PI) 2) (* (pow f 4) (pow (+ (* -7/768 (pow (PI) 3)) (* 1/256 (pow (PI) 3))) 2)))) (* 1/4 (/ (PI) (* (pow f 2) (+ (* -7/768 (pow (PI) 3)) (* 1/256 (pow (PI) 3)))))))))>
#<alt (+ (log (+ (* -7/768 (pow (PI) 3)) (* 1/256 (pow (PI) 3)))) (+ (* -3 (log (/ 1 f))) (+ (* -1/32 (/ (pow (PI) 2) (* (pow f 4) (pow (+ (* -7/768 (pow (PI) 3)) (* 1/256 (pow (PI) 3))) 2)))) (+ (* 1/192 (/ (pow (PI) 3) (* (pow f 6) (pow (+ (* -7/768 (pow (PI) 3)) (* 1/256 (pow (PI) 3))) 3)))) (* 1/4 (/ (PI) (* (pow f 2) (+ (* -7/768 (pow (PI) 3)) (* 1/256 (pow (PI) 3))))))))))>
#<alt (+ (log (* -1 (+ (* -7/768 (pow (PI) 3)) (* 1/256 (pow (PI) 3))))) (* -3 (log (/ -1 f))))>
#<alt (+ (log (* -1 (+ (* -7/768 (pow (PI) 3)) (* 1/256 (pow (PI) 3))))) (+ (* -3 (log (/ -1 f))) (* 1/4 (/ (PI) (* (pow f 2) (+ (* -7/768 (pow (PI) 3)) (* 1/256 (pow (PI) 3))))))))>
#<alt (+ (log (* -1 (+ (* -7/768 (pow (PI) 3)) (* 1/256 (pow (PI) 3))))) (+ (* -3 (log (/ -1 f))) (+ (* -1/32 (/ (pow (PI) 2) (* (pow f 4) (pow (+ (* -7/768 (pow (PI) 3)) (* 1/256 (pow (PI) 3))) 2)))) (* 1/4 (/ (PI) (* (pow f 2) (+ (* -7/768 (pow (PI) 3)) (* 1/256 (pow (PI) 3)))))))))>
#<alt (+ (log (* -1 (+ (* -7/768 (pow (PI) 3)) (* 1/256 (pow (PI) 3))))) (+ (* -3 (log (/ -1 f))) (+ (* -1/32 (/ (pow (PI) 2) (* (pow f 4) (pow (+ (* -7/768 (pow (PI) 3)) (* 1/256 (pow (PI) 3))) 2)))) (+ (* 1/192 (/ (pow (PI) 3) (* (pow f 6) (pow (+ (* -7/768 (pow (PI) 3)) (* 1/256 (pow (PI) 3))) 3)))) (* 1/4 (/ (PI) (* (pow f 2) (+ (* -7/768 (pow (PI) 3)) (* 1/256 (pow (PI) 3))))))))))>
#<alt (* 4 (/ (+ (log f) (log (* 1/4 (PI)))) (PI)))>
#<alt (+ (* 4 (/ (+ (log f) (log (* 1/4 (PI)))) (PI))) (* 8 (/ (* f (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2)))) (pow (PI) 2))))>
#<alt (+ (* 4 (/ (+ (log f) (log (* 1/4 (PI)))) (PI))) (* f (+ (* 2 (/ (* f (+ (* -4 (/ (pow (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) 2) (pow (PI) 2))) (* 8 (/ (- (* 1/2 (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (+ (* -1/128 (pow (PI) 3)) (* 1/192 (pow (PI) 3))))) (* 1/128 (pow (PI) 3))) (PI))))) (PI))) (* 8 (/ (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) (pow (PI) 2))))))>
#<alt (+ (* 4 (/ (+ (log f) (log (* 1/4 (PI)))) (PI))) (* f (+ (* 8 (/ (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) (pow (PI) 2))) (* f (+ (* 2/3 (/ (* f (+ (* -48 (/ (* (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) (- (* 1/2 (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (+ (* -1/128 (pow (PI) 3)) (* 1/192 (pow (PI) 3))))) (* 1/128 (pow (PI) 3)))) (pow (PI) 2))) (+ (* 16 (/ (pow (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) 3) (pow (PI) 3))) (* 24 (/ (- (* 1/2 (+ (* -1/4 (* (PI) (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (+ (* -1/128 (pow (PI) 3)) (* 1/384 (pow (PI) 3)))))) (+ (* -1/32 (* (pow (PI) 2) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (+ (* -1/1536 (pow (PI) 4)) (* 1/3072 (pow (PI) 4)))))) (+ (* -1/8 (* (PI) (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (* -1/128 (pow (PI) 3))))) (* 1/64 (* (pow (PI) 2) (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))))))) (PI)))))) (PI))) (* 2 (/ (+ (* -4 (/ (pow (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) 2) (pow (PI) 2))) (* 8 (/ (- (* 1/2 (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (+ (* -1/128 (pow (PI) 3)) (* 1/192 (pow (PI) 3))))) (* 1/128 (pow (PI) 3))) (PI)))) (PI))))))))>
#<alt (* 4 (/ (log (/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))) (PI)))>
#<alt (* 4 (/ (log (/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))) (PI)))>
#<alt (* 4 (/ (log (/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))) (PI)))>
#<alt (* 4 (/ (log (/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))) (PI)))>
#<alt (* 4 (/ (log (/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))) (PI)))>
#<alt (* 4 (/ (log (/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))) (PI)))>
#<alt (* 4 (/ (log (/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))) (PI)))>
#<alt (* 4 (/ (log (/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))) (PI)))>
#<alt (/ 1 (+ (log f) (log (* 1/4 (PI)))))>
#<alt (+ (* -2 (/ (* f (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2)))) (* (PI) (pow (+ (log f) (log (* 1/4 (PI)))) 2)))) (/ 1 (+ (log f) (log (* 1/4 (PI))))))>
#<alt (+ (* f (- (* -1 (* f (+ (* -4 (/ (pow (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) 2) (* (pow (PI) 2) (pow (+ (log f) (log (* 1/4 (PI)))) 3)))) (* 1/2 (/ (+ (* -4 (/ (pow (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) 2) (pow (PI) 2))) (* 8 (/ (- (* 1/2 (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (+ (* -1/128 (pow (PI) 3)) (* 1/192 (pow (PI) 3))))) (* 1/128 (pow (PI) 3))) (PI)))) (pow (+ (log f) (log (* 1/4 (PI)))) 2)))))) (* 2 (/ (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) (* (PI) (pow (+ (log f) (log (* 1/4 (PI)))) 2)))))) (/ 1 (+ (log f) (log (* 1/4 (PI))))))>
#<alt (+ (* f (- (* f (- (* -1 (* f (+ (* -2 (/ (* (+ (* -4 (/ (pow (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) 2) (* (pow (PI) 2) (pow (+ (log f) (log (* 1/4 (PI)))) 3)))) (* 1/2 (/ (+ (* -4 (/ (pow (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) 2) (pow (PI) 2))) (* 8 (/ (- (* 1/2 (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (+ (* -1/128 (pow (PI) 3)) (* 1/192 (pow (PI) 3))))) (* 1/128 (pow (PI) 3))) (PI)))) (pow (+ (log f) (log (* 1/4 (PI)))) 2)))) (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2)))) (* (PI) (+ (log f) (log (* 1/4 (PI))))))) (+ (* -1 (/ (* (+ (* -4 (/ (pow (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) 2) (pow (PI) 2))) (* 8 (/ (- (* 1/2 (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (+ (* -1/128 (pow (PI) 3)) (* 1/192 (pow (PI) 3))))) (* 1/128 (pow (PI) 3))) (PI)))) (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2)))) (* (PI) (pow (+ (log f) (log (* 1/4 (PI)))) 3)))) (* 1/6 (/ (+ (* -48 (/ (* (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) (- (* 1/2 (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (+ (* -1/128 (pow (PI) 3)) (* 1/192 (pow (PI) 3))))) (* 1/128 (pow (PI) 3)))) (pow (PI) 2))) (+ (* 16 (/ (pow (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) 3) (pow (PI) 3))) (* 24 (/ (- (* 1/2 (+ (* -1/4 (* (PI) (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (+ (* -1/128 (pow (PI) 3)) (* 1/384 (pow (PI) 3)))))) (+ (* -1/32 (* (pow (PI) 2) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (+ (* -1/1536 (pow (PI) 4)) (* 1/3072 (pow (PI) 4)))))) (+ (* -1/8 (* (PI) (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (* -1/128 (pow (PI) 3))))) (* 1/64 (* (pow (PI) 2) (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))))))) (PI))))) (pow (+ (log f) (log (* 1/4 (PI)))) 2))))))) (+ (* -4 (/ (pow (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) 2) (* (pow (PI) 2) (pow (+ (log f) (log (* 1/4 (PI)))) 3)))) (* 1/2 (/ (+ (* -4 (/ (pow (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) 2) (pow (PI) 2))) (* 8 (/ (- (* 1/2 (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (+ (* -1/128 (pow (PI) 3)) (* 1/192 (pow (PI) 3))))) (* 1/128 (pow (PI) 3))) (PI)))) (pow (+ (log f) (log (* 1/4 (PI)))) 2)))))) (* 2 (/ (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) (* (PI) (pow (+ (log f) (log (* 1/4 (PI)))) 2)))))) (/ 1 (+ (log f) (log (* 1/4 (PI))))))>
#<alt (/ 1 (log (/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))))>
#<alt (/ 1 (log (/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))))>
#<alt (/ 1 (log (/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))))>
#<alt (/ 1 (log (/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))))>
#<alt (/ 1 (log (/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))))>
#<alt (/ 1 (log (/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))))>
#<alt (/ 1 (log (/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))))>
#<alt (/ 1 (log (/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))))>
#<alt (* 1/4 (* f (PI)))>
#<alt (* 1/4 (* f (PI)))>
#<alt (* 1/4 (* f (PI)))>
#<alt (* 1/4 (* f (PI)))>
#<alt (* 1/4 (* f (PI)))>
#<alt (* 1/4 (* f (PI)))>
#<alt (* 1/4 (* f (PI)))>
#<alt (* 1/4 (* f (PI)))>
#<alt (* 1/4 (* f (PI)))>
#<alt (* 1/4 (* f (PI)))>
#<alt (* 1/4 (* f (PI)))>
#<alt (* 1/4 (* f (PI)))>
#<alt (* f (PI))>
#<alt (* f (PI))>
#<alt (* f (PI))>
#<alt (* f (PI))>
#<alt (* f (PI))>
#<alt (* f (PI))>
#<alt (* f (PI))>
#<alt (* f (PI))>
#<alt (* f (PI))>
#<alt (* f (PI))>
#<alt (* f (PI))>
#<alt (* f (PI))>
#<alt (* -1 (/ (+ (log f) (log (* 1/4 (PI)))) (PI)))>
#<alt (* -1 (/ (+ (log f) (log (* 1/4 (PI)))) (PI)))>
#<alt (* -1 (/ (+ (log f) (log (* 1/4 (PI)))) (PI)))>
#<alt (* -1 (/ (+ (log f) (log (* 1/4 (PI)))) (PI)))>
#<alt (* -1 (/ (+ (log (* 1/4 (PI))) (* -1 (log (/ 1 f)))) (PI)))>
#<alt (* -1 (/ (+ (log (* 1/4 (PI))) (* -1 (log (/ 1 f)))) (PI)))>
#<alt (* -1 (/ (+ (log (* 1/4 (PI))) (* -1 (log (/ 1 f)))) (PI)))>
#<alt (* -1 (/ (+ (log (* 1/4 (PI))) (* -1 (log (/ 1 f)))) (PI)))>
#<alt (* -1 (/ (+ (log (* -1/4 (PI))) (* -1 (log (/ -1 f)))) (PI)))>
#<alt (* -1 (/ (+ (log (* -1/4 (PI))) (* -1 (log (/ -1 f)))) (PI)))>
#<alt (* -1 (/ (+ (log (* -1/4 (PI))) (* -1 (log (/ -1 f)))) (PI)))>
#<alt (* -1 (/ (+ (log (* -1/4 (PI))) (* -1 (log (/ -1 f)))) (PI)))>
#<alt (* 1/4 (* f (PI)))>
#<alt (* 1/4 (* f (PI)))>
#<alt (* 1/4 (* f (PI)))>
#<alt (* 1/4 (* f (PI)))>
#<alt (* 1/4 (* f (PI)))>
#<alt (* 1/4 (* f (PI)))>
#<alt (* 1/4 (* f (PI)))>
#<alt (* 1/4 (* f (PI)))>
#<alt (* 1/4 (* f (PI)))>
#<alt (* 1/4 (* f (PI)))>
#<alt (* 1/4 (* f (PI)))>
#<alt (* 1/4 (* f (PI)))>
Calls

57 calls:

TimeVariablePointExpression
71.0ms
f
@0
(/ (log (* f (+ (* (+ (* (* (PI) (* (* (PI) (PI)) -1/32)) -1/8) (* (* (PI) (* (PI) (PI))) -7/768)) (* f f)) (* 1/4 (PI))))) (* (PI) 1/4))
19.0ms
f
@-inf
(/ (log (* 1/4 (* f (PI)))) (* (PI) 1/4))
17.0ms
f
@0
(/ (log (* 1/4 (* f (PI)))) (* (PI) 1/4))
7.0ms
f
@inf
(/ (log (* 1/4 (* f (PI)))) (* (PI) 1/4))
3.0ms
f
@-inf
(/ 1/4 (/ (- 0 (log (* f (* (+ (* (PI) 1/2) 0) 1/2)))) (PI)))

rewrite448.0ms (2.3%)

Memory
3.5MiB live, 1 063.4MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
5 050×*-lowering-*.f32
5 050×*-lowering-*.f64
4 104×/-lowering-/.f32
4 104×/-lowering-/.f64
3 438×accelerator-lowering-fma.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
050241
1293223
22159223
08641216
Stop Event
1×iter limit
1×node limit
Counts
26 → 1 416
Calls
Call 1
Inputs
(/ 1 (/ 1 (tanh (* (PI) (* 1/4 f)))))
(/ (log (/ 1 (/ 1 (tanh (* (PI) (* 1/4 f)))))) (* (PI) 1/4))
(log (/ 1 (/ 1 (tanh (* (PI) (* 1/4 f))))))
(/ 1 (tanh (* (PI) (* 1/4 f))))
(/ (log (* 1/4 (* f (PI)))) (* (PI) 1/4))
(log (* 1/4 (* f (PI))))
(* 1/4 (* f (PI)))
(PI)
(/ 1 (/ 1/4 (/ (- 0 (log (* f (* (+ (* (PI) 1/2) 0) 1/2)))) (PI))))
(/ 1/4 (/ (- 0 (log (* f (* (+ (* (PI) 1/2) 0) 1/2)))) (PI)))
(* (+ (* (PI) 1/2) 0) 1/2)
(neg (/ 1 (/ 1/4 (/ (- 0 (log (* f (* (+ (* (PI) 1/2) 0) 1/2)))) (PI)))))
(+ (* (* (PI) (* (* (PI) (PI)) -1/32)) -1/8) (* (* (PI) (* (PI) (PI))) -7/768))
(+ (* (+ (* (* (PI) (* (* (PI) (PI)) -1/32)) -1/8) (* (* (PI) (* (PI) (PI))) -7/768)) (* f f)) (* 1/4 (PI)))
(/ (log (* f (+ (* (+ (* (* (PI) (* (* (PI) (PI)) -1/32)) -1/8) (* (* (PI) (* (PI) (PI))) -7/768)) (* f f)) (* 1/4 (PI))))) (* (PI) 1/4))
(log (* f (+ (* (+ (* (* (PI) (* (* (PI) (PI)) -1/32)) -1/8) (* (* (PI) (* (PI) (PI))) -7/768)) (* f f)) (* 1/4 (PI)))))
(/ (/ 4 (PI)) (/ 1 (log (tanh (* (PI) (* 1/4 f))))))
(/ 4 (PI))
(/ 1 (log (tanh (* (PI) (* 1/4 f)))))
(* (PI) (* 1/4 f))
(* f (PI))
(/ (- 0 (log (* f (* (+ (* (PI) 1/2) 0) 1/2)))) (PI))
(* f (* (+ (* (PI) 1/2) 0) 1/2))
(* (PI) (* (PI) (PI)))
(* (PI) (* (* (PI) (PI)) -1/32))
(* (* (PI) (* (PI) (PI))) -7/768)
Outputs
(exp.f64 (log.f64 (tanh.f64 (*.f64 f (fma.f64 (PI.f64) #s(literal 1/4 binary64) #s(literal 0 binary64))))))
(-.f64 #s(literal 0 binary64) (/.f64 (tanh.f64 (*.f64 f (fma.f64 (PI.f64) #s(literal 1/4 binary64) #s(literal 0 binary64)))) #s(literal -1 binary64)))
(-.f64 (/.f64 (exp.f64 (*.f64 f (fma.f64 (PI.f64) #s(literal 1/4 binary64) #s(literal 0 binary64)))) (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 f (fma.f64 (PI.f64) #s(literal 1/4 binary64) #s(literal 0 binary64)))))) (/.f64 (exp.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal -1/4 binary64))) (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 f (fma.f64 (PI.f64) #s(literal 1/4 binary64) #s(literal 0 binary64)))))))
(-.f64 (/.f64 (exp.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (PI.f64) f))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (PI.f64) f))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (PI.f64) f))))))
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (PI.f64) f))))) (/.f64 (exp.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (PI.f64) f))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (PI.f64) f))))))
(-.f64 (/.f64 (/.f64 (exp.f64 (*.f64 f (fma.f64 (PI.f64) #s(literal 1/4 binary64) #s(literal 0 binary64)))) (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 f (fma.f64 (PI.f64) #s(literal 1/4 binary64) #s(literal 0 binary64)))))) #s(literal 1 binary64)) (/.f64 (/.f64 (exp.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal -1/4 binary64))) (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 f (fma.f64 (PI.f64) #s(literal 1/4 binary64) #s(literal 0 binary64)))))) #s(literal 1 binary64)))
(-.f64 (/.f64 (/.f64 (exp.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (PI.f64) f))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (PI.f64) f))))) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (PI.f64) f))))) #s(literal 1 binary64)))
(-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (PI.f64) f))))) #s(literal 1 binary64)) (/.f64 (/.f64 (exp.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (PI.f64) f))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (PI.f64) f))))) #s(literal 1 binary64)))
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(exp.f64 (*.f64 (log.f64 (PI.f64)) #s(literal 3 binary64)))
(exp.f64 (+.f64 (log.f64 (PI.f64)) (*.f64 (log.f64 (PI.f64)) #s(literal 2 binary64))))
(exp.f64 (+.f64 (log.f64 (PI.f64)) (log.f64 (*.f64 (PI.f64) (PI.f64)))))
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(exp.f64 (+.f64 (log.f64 (*.f64 (PI.f64) (PI.f64))) (log.f64 (PI.f64))))
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(*.f64 (*.f64 (PI.f64) #s(literal -1/32 binary64)) (*.f64 (PI.f64) (PI.f64)))
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(*.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal -7/768 binary64)))))
(*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal -7/768 binary64))) (PI.f64))
(*.f64 (*.f64 #s(literal -7/768 binary64) (PI.f64)) (*.f64 (PI.f64) (PI.f64)))

simplify456.0ms (2.4%)

Memory
2.1MiB live, 830.0MiB allocated
Algorithm
1×egg-herbie
Rules
9 150×accelerator-lowering-fma.f32
9 150×accelerator-lowering-fma.f64
3 906×*-lowering-*.f32
3 906×*-lowering-*.f64
3 766×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03735525
111494902
248284274
084244139
Stop Event
1×iter limit
1×node limit
Counts
228 → 228
Calls
Call 1
Inputs
(* 1/4 (* f (PI)))
(* f (+ (* 1/4 (PI)) (* 1/2 (* f (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2)))))))
(* f (+ (* 1/4 (PI)) (* f (+ (* 1/2 (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2)))) (* f (- (* 1/2 (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (+ (* -1/128 (pow (PI) 3)) (* 1/192 (pow (PI) 3))))) (* 1/128 (pow (PI) 3))))))))
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(* 1/4 (* f (PI)))
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(fma.f64 f (fma.f64 f (-.f64 #s(literal 0 binary64) (fma.f64 f (fma.f64 #s(literal 1/6 binary64) (/.f64 (fma.f64 #s(literal 24 binary64) (/.f64 (fma.f64 #s(literal 1/2 binary64) (fma.f64 (*.f64 (PI.f64) (fma.f64 #s(literal -1/4 binary64) (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal -1/32 binary64))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal -1/192 binary64)))) (*.f64 (PI.f64) #s(literal -1/4 binary64)) (fma.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (PI.f64)) #s(literal 1/1024 binary64) (*.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (PI.f64)) #s(literal -1/3072 binary64)))) (fma.f64 (*.f64 (PI.f64) (fma.f64 #s(literal -1/4 binary64) (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal -1/32 binary64))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal -1/128 binary64)))) (*.f64 (PI.f64) #s(literal 1/8 binary64)) #s(literal 0 binary64))) (PI.f64)) #s(literal 0 binary64)) (pow.f64 (+.f64 (log.f64 f) (log.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)))) #s(literal 2 binary64))) #s(literal 0 binary64)) (/.f64 (fma.f64 #s(literal 4 binary64) (/.f64 (fma.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 #s(literal -1/32 binary64) (PI.f64))) #s(literal -1/8 binary64) (*.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal -7/768 binary64)))) (PI.f64)) #s(literal 0 binary64)) (pow.f64 (+.f64 (log.f64 f) (log.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)))) #s(literal 2 binary64))))) #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (log.f64 f) (log.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64))))))
(/ 1 (log (/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))))
(/.f64 #s(literal 1 binary64) (log.f64 (/.f64 (-.f64 (exp.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))) (exp.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal -1/4 binary64)))) (+.f64 (exp.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))) (exp.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal -1/4 binary64)))))))
(/ 1 (log (/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))))
(/.f64 #s(literal 1 binary64) (log.f64 (/.f64 (-.f64 (exp.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))) (exp.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal -1/4 binary64)))) (+.f64 (exp.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))) (exp.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal -1/4 binary64)))))))
(/ 1 (log (/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))))
(/.f64 #s(literal 1 binary64) (log.f64 (/.f64 (-.f64 (exp.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))) (exp.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal -1/4 binary64)))) (+.f64 (exp.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))) (exp.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal -1/4 binary64)))))))
(/ 1 (log (/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))))
(/.f64 #s(literal 1 binary64) (log.f64 (/.f64 (-.f64 (exp.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))) (exp.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal -1/4 binary64)))) (+.f64 (exp.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))) (exp.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal -1/4 binary64)))))))
(/ 1 (log (/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))))
(/.f64 #s(literal 1 binary64) (log.f64 (/.f64 (-.f64 (exp.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))) (exp.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal -1/4 binary64)))) (+.f64 (exp.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))) (exp.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal -1/4 binary64)))))))
(/ 1 (log (/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))))
(/.f64 #s(literal 1 binary64) (log.f64 (/.f64 (-.f64 (exp.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))) (exp.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal -1/4 binary64)))) (+.f64 (exp.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))) (exp.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal -1/4 binary64)))))))
(/ 1 (log (/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))))
(/.f64 #s(literal 1 binary64) (log.f64 (/.f64 (-.f64 (exp.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))) (exp.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal -1/4 binary64)))) (+.f64 (exp.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))) (exp.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal -1/4 binary64)))))))
(/ 1 (log (/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))))
(/.f64 #s(literal 1 binary64) (log.f64 (/.f64 (-.f64 (exp.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))) (exp.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal -1/4 binary64)))) (+.f64 (exp.f64 (*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))) (exp.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal -1/4 binary64)))))))
(* 1/4 (* f (PI)))
(*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))
(* 1/4 (* f (PI)))
(*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))
(* 1/4 (* f (PI)))
(*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))
(* 1/4 (* f (PI)))
(*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))
(* 1/4 (* f (PI)))
(*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))
(* 1/4 (* f (PI)))
(*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))
(* 1/4 (* f (PI)))
(*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))
(* 1/4 (* f (PI)))
(*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))
(* 1/4 (* f (PI)))
(*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))
(* 1/4 (* f (PI)))
(*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))
(* 1/4 (* f (PI)))
(*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))
(* 1/4 (* f (PI)))
(*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))
(* f (PI))
(*.f64 f (PI.f64))
(* f (PI))
(*.f64 f (PI.f64))
(* f (PI))
(*.f64 f (PI.f64))
(* f (PI))
(*.f64 f (PI.f64))
(* f (PI))
(*.f64 f (PI.f64))
(* f (PI))
(*.f64 f (PI.f64))
(* f (PI))
(*.f64 f (PI.f64))
(* f (PI))
(*.f64 f (PI.f64))
(* f (PI))
(*.f64 f (PI.f64))
(* f (PI))
(*.f64 f (PI.f64))
(* f (PI))
(*.f64 f (PI.f64))
(* f (PI))
(*.f64 f (PI.f64))
(* -1 (/ (+ (log f) (log (* 1/4 (PI)))) (PI)))
(/.f64 (+.f64 (log.f64 f) (log.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)))) (-.f64 #s(literal 0 binary64) (PI.f64)))
(* -1 (/ (+ (log f) (log (* 1/4 (PI)))) (PI)))
(/.f64 (+.f64 (log.f64 f) (log.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)))) (-.f64 #s(literal 0 binary64) (PI.f64)))
(* -1 (/ (+ (log f) (log (* 1/4 (PI)))) (PI)))
(/.f64 (+.f64 (log.f64 f) (log.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)))) (-.f64 #s(literal 0 binary64) (PI.f64)))
(* -1 (/ (+ (log f) (log (* 1/4 (PI)))) (PI)))
(/.f64 (+.f64 (log.f64 f) (log.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)))) (-.f64 #s(literal 0 binary64) (PI.f64)))
(* -1 (/ (+ (log (* 1/4 (PI))) (* -1 (log (/ 1 f)))) (PI)))
(/.f64 (+.f64 (log.f64 f) (log.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)))) (-.f64 #s(literal 0 binary64) (PI.f64)))
(* -1 (/ (+ (log (* 1/4 (PI))) (* -1 (log (/ 1 f)))) (PI)))
(/.f64 (+.f64 (log.f64 f) (log.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)))) (-.f64 #s(literal 0 binary64) (PI.f64)))
(* -1 (/ (+ (log (* 1/4 (PI))) (* -1 (log (/ 1 f)))) (PI)))
(/.f64 (+.f64 (log.f64 f) (log.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)))) (-.f64 #s(literal 0 binary64) (PI.f64)))
(* -1 (/ (+ (log (* 1/4 (PI))) (* -1 (log (/ 1 f)))) (PI)))
(/.f64 (+.f64 (log.f64 f) (log.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)))) (-.f64 #s(literal 0 binary64) (PI.f64)))
(* -1 (/ (+ (log (* -1/4 (PI))) (* -1 (log (/ -1 f)))) (PI)))
(/.f64 (-.f64 (log.f64 (*.f64 (PI.f64) #s(literal -1/4 binary64))) (log.f64 (/.f64 #s(literal -1 binary64) f))) (-.f64 #s(literal 0 binary64) (PI.f64)))
(* -1 (/ (+ (log (* -1/4 (PI))) (* -1 (log (/ -1 f)))) (PI)))
(/.f64 (-.f64 (log.f64 (*.f64 (PI.f64) #s(literal -1/4 binary64))) (log.f64 (/.f64 #s(literal -1 binary64) f))) (-.f64 #s(literal 0 binary64) (PI.f64)))
(* -1 (/ (+ (log (* -1/4 (PI))) (* -1 (log (/ -1 f)))) (PI)))
(/.f64 (-.f64 (log.f64 (*.f64 (PI.f64) #s(literal -1/4 binary64))) (log.f64 (/.f64 #s(literal -1 binary64) f))) (-.f64 #s(literal 0 binary64) (PI.f64)))
(* -1 (/ (+ (log (* -1/4 (PI))) (* -1 (log (/ -1 f)))) (PI)))
(/.f64 (-.f64 (log.f64 (*.f64 (PI.f64) #s(literal -1/4 binary64))) (log.f64 (/.f64 #s(literal -1 binary64) f))) (-.f64 #s(literal 0 binary64) (PI.f64)))
(* 1/4 (* f (PI)))
(*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))
(* 1/4 (* f (PI)))
(*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))
(* 1/4 (* f (PI)))
(*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))
(* 1/4 (* f (PI)))
(*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))
(* 1/4 (* f (PI)))
(*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))
(* 1/4 (* f (PI)))
(*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))
(* 1/4 (* f (PI)))
(*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))
(* 1/4 (* f (PI)))
(*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))
(* 1/4 (* f (PI)))
(*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))
(* 1/4 (* f (PI)))
(*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))
(* 1/4 (* f (PI)))
(*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))
(* 1/4 (* f (PI)))
(*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))

eval413.0ms (2.2%)

Memory
22.0MiB live, 827.4MiB allocated
Compiler

Compiled 65 908 to 8 889 computations (86.5% saved)

prune249.0ms (1.3%)

Memory
-39.8MiB live, 522.5MiB allocated
Pruning

23 alts after pruning (20 fresh and 3 done)

PrunedKeptTotal
New2 333142 347
Fresh7613
Picked325
Done011
Total2 343232 366
Accuracy
100.0%
Counts
2 366 → 23
Alt Table
Click to see full alt table
StatusAccuracyProgram
95.9%
(/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (/.f64 #s(literal 1 binary64) (+.f64 (log.f64 f) (log.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64))))))
96.7%
(/.f64 (log.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 f (fma.f64 f (fma.f64 #s(literal -16 binary64) (/.f64 (fma.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 #s(literal -1/32 binary64) (PI.f64))) #s(literal -1/8 binary64) (*.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal -7/768 binary64)))) (*.f64 (PI.f64) (PI.f64))) #s(literal 0 binary64)) #s(literal 0 binary64)) (/.f64 #s(literal 4 binary64) (PI.f64))) f))) (*.f64 (PI.f64) #s(literal 1/4 binary64)))
✓99.5%
(/.f64 (log.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (tanh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))))) (*.f64 (PI.f64) #s(literal 1/4 binary64)))
96.0%
(/.f64 (log.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) f) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)))) (*.f64 (PI.f64) #s(literal 1/4 binary64)))
96.1%
(/.f64 (log.f64 (*.f64 f (fma.f64 (fma.f64 (*.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal -1/32 binary64))) #s(literal -1/8 binary64) (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal -7/768 binary64))) (*.f64 f f) (*.f64 #s(literal 1/4 binary64) (PI.f64))))) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64)))) #s(literal 1/4 binary64)))
96.6%
(/.f64 (log.f64 (*.f64 f (fma.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (*.f64 #s(literal -1/192 binary64) (*.f64 f f)) (*.f64 #s(literal 1/4 binary64) (PI.f64))))) (*.f64 (PI.f64) #s(literal 1/4 binary64)))
▶42.6%
(/.f64 (log.f64 (*.f64 f (*.f64 (*.f64 f f) (*.f64 (PI.f64) (fma.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal -1/192 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 f f))))))) (*.f64 (PI.f64) #s(literal 1/4 binary64)))
95.5%
(/.f64 (log.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 f (PI.f64)))) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64)))) #s(literal 1/4 binary64)))
▶94.9%
(/.f64 (log.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 f (PI.f64)))) (*.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))) #s(literal 1/4 binary64)))
✓96.0%
(/.f64 (log.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 f (PI.f64)))) (*.f64 (PI.f64) #s(literal 1/4 binary64)))
99.0%
(/.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64)))) #s(literal 1/4 binary64)))
✓99.5%
(/.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (*.f64 (PI.f64) #s(literal 1/4 binary64)))
95.9%
(/.f64 #s(literal -4 binary64) (/.f64 (-.f64 #s(literal 0 binary64) (PI.f64)) (log.f64 (*.f64 f (fma.f64 (PI.f64) #s(literal 1/4 binary64) #s(literal 0 binary64))))))
96.0%
(-.f64 (/.f64 (-.f64 #s(literal 0 binary64) (log.f64 f)) (*.f64 (PI.f64) #s(literal -1/4 binary64))) (/.f64 (log.f64 (fma.f64 (PI.f64) #s(literal 1/4 binary64) #s(literal 0 binary64))) (*.f64 (PI.f64) #s(literal -1/4 binary64))))
95.7%
(-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) (*.f64 (PI.f64) #s(literal -1/4 binary64))) (/.f64 (log.f64 (fma.f64 f (fma.f64 (PI.f64) #s(literal 1/2 binary64) #s(literal 0 binary64)) #s(literal 0 binary64))) (*.f64 (PI.f64) #s(literal -1/4 binary64))))
▶95.9%
(*.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (log.f64 (*.f64 f (fma.f64 (PI.f64) #s(literal 1/4 binary64) #s(literal 0 binary64)))))
95.8%
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64))) (/.f64 (log.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 f (PI.f64)))) (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/4 binary64))))
95.9%
(neg.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/4 binary64) (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (PI.f64)) (*.f64 (PI.f64) (log.f64 (*.f64 f (fma.f64 (PI.f64) #s(literal 1/4 binary64) #s(literal 0 binary64)))))) (*.f64 (PI.f64) (PI.f64))))))
95.9%
(neg.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/4 binary64) (/.f64 (log.f64 (*.f64 f (fma.f64 (PI.f64) #s(literal 1/4 binary64) #s(literal 0 binary64)))) (PI.f64)))))
95.9%
(neg.f64 (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -1/4 binary64) (log.f64 (*.f64 f (fma.f64 (PI.f64) #s(literal 1/4 binary64) #s(literal 0 binary64))))) (PI.f64))))
▶96.5%
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (fma.f64 f (fma.f64 f (fma.f64 (*.f64 (PI.f64) #s(literal 1/48 binary64)) #s(literal -2 binary64) (fma.f64 (PI.f64) #s(literal 1/8 binary64) #s(literal 0 binary64))) #s(literal 0 binary64)) (/.f64 #s(literal 4 binary64) (PI.f64))) f))))
95.9%
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) (*.f64 (/.f64 #s(literal 2 binary64) f) #s(literal 2 binary64)))))))
▶99.4%
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 #s(literal 1 binary64) (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))))))
Compiler

Compiled 853 to 602 computations (29.4% saved)

simplify285.0ms (1.5%)

Memory
36.9MiB live, 348.7MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
✓cost-diff128
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (fma.f64 f (fma.f64 f (fma.f64 (*.f64 (PI.f64) #s(literal 1/48 binary64)) #s(literal -2 binary64) (fma.f64 (PI.f64) #s(literal 1/8 binary64) #s(literal 0 binary64))) #s(literal 0 binary64)) (/.f64 #s(literal 4 binary64) (PI.f64))) f))))
✓cost-diff320
(/.f64 (PI.f64) #s(literal 4 binary64))
✓cost-diff384
(/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64)))
✓cost-diff704
(fma.f64 (*.f64 (PI.f64) #s(literal 1/48 binary64)) #s(literal -2 binary64) (fma.f64 (PI.f64) #s(literal 1/8 binary64) #s(literal 0 binary64)))
✓cost-diff0
(*.f64 f (*.f64 (*.f64 f f) (*.f64 (PI.f64) (fma.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal -1/192 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 f f))))))
✓cost-diff0
(log.f64 (*.f64 f (*.f64 (*.f64 f f) (*.f64 (PI.f64) (fma.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal -1/192 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 f f)))))))
✓cost-diff0
(/.f64 (log.f64 (*.f64 f (*.f64 (*.f64 f f) (*.f64 (PI.f64) (fma.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal -1/192 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 f f))))))) (*.f64 (PI.f64) #s(literal 1/4 binary64)))
✓cost-diff1024
(*.f64 (*.f64 f f) (*.f64 (PI.f64) (fma.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal -1/192 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 f f)))))
✓cost-diff0
(*.f64 f (PI.f64))
✓cost-diff0
(log.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 f (PI.f64))))
✓cost-diff0
(/.f64 (log.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 f (PI.f64)))) (*.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))) #s(literal 1/4 binary64)))
✓cost-diff1600
(*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)))
✓cost-diff0
(*.f64 f (fma.f64 (PI.f64) #s(literal 1/4 binary64) #s(literal 0 binary64)))
✓cost-diff0
(log.f64 (*.f64 f (fma.f64 (PI.f64) #s(literal 1/4 binary64) #s(literal 0 binary64))))
✓cost-diff0
(PI.f64)
✓cost-diff0
(/.f64 #s(literal 4 binary64) (PI.f64))
✓cost-diff128
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 #s(literal 1 binary64) (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))))))
✓cost-diff320
(/.f64 (PI.f64) #s(literal 4 binary64))
✓cost-diff384
(/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64)))
✓cost-diff512
(log.f64 (/.f64 #s(literal 1 binary64) (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))))
Rules
8 546×accelerator-lowering-fma.f32
8 546×accelerator-lowering-fma.f64
4 716×*-lowering-*.f32
4 716×*-lowering-*.f64
1 260×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
054403
1165351
2568349
31913349
43780339
55741339
08188328
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(neg (* (/ 1 (/ (PI) 4)) (log (/ 1 (tanh (* (* (PI) 1/4) f))))))
(* (/ 1 (/ (PI) 4)) (log (/ 1 (tanh (* (* (PI) 1/4) f)))))
(/ 1 (/ (PI) 4))
1
(/ (PI) 4)
(PI)
4
(log (/ 1 (tanh (* (* (PI) 1/4) f))))
(/ 1 (tanh (* (* (PI) 1/4) f)))
(tanh (* (* (PI) 1/4) f))
(* (* (PI) 1/4) f)
(* (PI) 1/4)
1/4
f
(* (/ 4 (PI)) (log (* f (+ (* (PI) 1/4) 0))))
(/ 4 (PI))
4
(PI)
(log (* f (+ (* (PI) 1/4) 0)))
(* f (+ (* (PI) 1/4) 0))
f
(+ (* (PI) 1/4) 0)
1/4
0
(/ (log (* 1/4 (* f (PI)))) (* (* (sqrt (PI)) (sqrt (PI))) 1/4))
(log (* 1/4 (* f (PI))))
(* 1/4 (* f (PI)))
1/4
(* f (PI))
f
(PI)
(* (* (sqrt (PI)) (sqrt (PI))) 1/4)
(* (sqrt (PI)) (sqrt (PI)))
(sqrt (PI))
(/ (log (* f (* (* f f) (* (PI) (+ (* (* (PI) (PI)) -1/192) (/ 1/4 (* f f))))))) (* (PI) 1/4))
(log (* f (* (* f f) (* (PI) (+ (* (* (PI) (PI)) -1/192) (/ 1/4 (* f f)))))))
(* f (* (* f f) (* (PI) (+ (* (* (PI) (PI)) -1/192) (/ 1/4 (* f f))))))
f
(* (* f f) (* (PI) (+ (* (* (PI) (PI)) -1/192) (/ 1/4 (* f f)))))
(* f f)
(* (PI) (+ (* (* (PI) (PI)) -1/192) (/ 1/4 (* f f))))
(PI)
(+ (* (* (PI) (PI)) -1/192) (/ 1/4 (* f f)))
(* (PI) (PI))
-1/192
(/ 1/4 (* f f))
1/4
(* (PI) 1/4)
(neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (* f (+ (* f (+ (* (* (PI) 1/48) -2) (+ (* (PI) 1/8) 0))) 0)) (/ 4 (PI))) f))))
(* (/ 1 (/ (PI) 4)) (log (/ (+ (* f (+ (* f (+ (* (* (PI) 1/48) -2) (+ (* (PI) 1/8) 0))) 0)) (/ 4 (PI))) f)))
(/ 1 (/ (PI) 4))
1
(/ (PI) 4)
(PI)
4
(log (/ (+ (* f (+ (* f (+ (* (* (PI) 1/48) -2) (+ (* (PI) 1/8) 0))) 0)) (/ 4 (PI))) f))
(/ (+ (* f (+ (* f (+ (* (* (PI) 1/48) -2) (+ (* (PI) 1/8) 0))) 0)) (/ 4 (PI))) f)
(+ (* f (+ (* f (+ (* (* (PI) 1/48) -2) (+ (* (PI) 1/8) 0))) 0)) (/ 4 (PI)))
f
(+ (* f (+ (* (* (PI) 1/48) -2) (+ (* (PI) 1/8) 0))) 0)
(+ (* (* (PI) 1/48) -2) (+ (* (PI) 1/8) 0))
(* (PI) 1/48)
1/48
-2
(+ (* (PI) 1/8) 0)
1/8
0
(/ 4 (PI))
Outputs
(neg (* (/ 1 (/ (PI) 4)) (log (/ 1 (tanh (* (* (PI) 1/4) f))))))
(fma.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (log.f64 (tanh.f64 (fma.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f) #s(literal 0 binary64)))) #s(literal 0 binary64))
(* (/ 1 (/ (PI) 4)) (log (/ 1 (tanh (* (* (PI) 1/4) f)))))
(fma.f64 (log.f64 (tanh.f64 (fma.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f) #s(literal 0 binary64)))) (/.f64 #s(literal -4 binary64) (PI.f64)) #s(literal 0 binary64))
(/ 1 (/ (PI) 4))
(/.f64 #s(literal 4 binary64) (PI.f64))
1
#s(literal 1 binary64)
(/ (PI) 4)
(fma.f64 (PI.f64) #s(literal 1/4 binary64) #s(literal 0 binary64))
(PI)
(PI.f64)
4
#s(literal 4 binary64)
(log (/ 1 (tanh (* (* (PI) 1/4) f))))
(-.f64 #s(literal 0 binary64) (log.f64 (tanh.f64 (fma.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f) #s(literal 0 binary64)))))
(/ 1 (tanh (* (* (PI) 1/4) f)))
(/.f64 #s(literal 1 binary64) (tanh.f64 (fma.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f) #s(literal 0 binary64))))
(tanh (* (* (PI) 1/4) f))
(tanh.f64 (fma.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f) #s(literal 0 binary64)))
(* (* (PI) 1/4) f)
(fma.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f) #s(literal 0 binary64))
(* (PI) 1/4)
(fma.f64 (PI.f64) #s(literal 1/4 binary64) #s(literal 0 binary64))
1/4
#s(literal 1/4 binary64)
f
(* (/ 4 (PI)) (log (* f (+ (* (PI) 1/4) 0))))
(fma.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (log.f64 (fma.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f) #s(literal 0 binary64))) #s(literal 0 binary64))
(/ 4 (PI))
(/.f64 #s(literal 4 binary64) (PI.f64))
4
#s(literal 4 binary64)
(PI)
(PI.f64)
(log (* f (+ (* (PI) 1/4) 0)))
(log.f64 (fma.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f) #s(literal 0 binary64)))
(* f (+ (* (PI) 1/4) 0))
(fma.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f) #s(literal 0 binary64))
f
(+ (* (PI) 1/4) 0)
(fma.f64 (PI.f64) #s(literal 1/4 binary64) #s(literal 0 binary64))
1/4
#s(literal 1/4 binary64)
0
#s(literal 0 binary64)
(/ (log (* 1/4 (* f (PI)))) (* (* (sqrt (PI)) (sqrt (PI))) 1/4))
(fma.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (log.f64 (fma.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f) #s(literal 0 binary64))) #s(literal 0 binary64))
(log (* 1/4 (* f (PI))))
(log.f64 (fma.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f) #s(literal 0 binary64)))
(* 1/4 (* f (PI)))
(fma.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f) #s(literal 0 binary64))
1/4
#s(literal 1/4 binary64)
(* f (PI))
(*.f64 (PI.f64) f)
f
(PI)
(PI.f64)
(* (* (sqrt (PI)) (sqrt (PI))) 1/4)
(fma.f64 (PI.f64) #s(literal 1/4 binary64) #s(literal 0 binary64))
(* (sqrt (PI)) (sqrt (PI)))
(PI.f64)
(sqrt (PI))
(sqrt.f64 (PI.f64))
(/ (log (* f (* (* f f) (* (PI) (+ (* (* (PI) (PI)) -1/192) (/ 1/4 (* f f))))))) (* (PI) 1/4))
(/.f64 (log.f64 (*.f64 f (*.f64 (PI.f64) (fma.f64 (*.f64 (PI.f64) (*.f64 f f)) (*.f64 (PI.f64) #s(literal -1/192 binary64)) #s(literal 1/4 binary64))))) (fma.f64 (PI.f64) #s(literal 1/4 binary64) #s(literal 0 binary64)))
(log (* f (* (* f f) (* (PI) (+ (* (* (PI) (PI)) -1/192) (/ 1/4 (* f f)))))))
(log.f64 (*.f64 f (*.f64 (PI.f64) (fma.f64 (*.f64 (PI.f64) (*.f64 f f)) (*.f64 (PI.f64) #s(literal -1/192 binary64)) #s(literal 1/4 binary64)))))
(* f (* (* f f) (* (PI) (+ (* (* (PI) (PI)) -1/192) (/ 1/4 (* f f))))))
(*.f64 f (*.f64 (PI.f64) (fma.f64 (*.f64 (PI.f64) (*.f64 f f)) (*.f64 (PI.f64) #s(literal -1/192 binary64)) #s(literal 1/4 binary64))))
f
(* (* f f) (* (PI) (+ (* (* (PI) (PI)) -1/192) (/ 1/4 (* f f)))))
(*.f64 (PI.f64) (fma.f64 (*.f64 (PI.f64) (*.f64 f f)) (*.f64 (PI.f64) #s(literal -1/192 binary64)) #s(literal 1/4 binary64)))
(* f f)
(*.f64 f f)
(* (PI) (+ (* (* (PI) (PI)) -1/192) (/ 1/4 (* f f))))
(*.f64 (PI.f64) (fma.f64 (PI.f64) (*.f64 (PI.f64) #s(literal -1/192 binary64)) (/.f64 #s(literal 1/4 binary64) (*.f64 f f))))
(PI)
(PI.f64)
(+ (* (* (PI) (PI)) -1/192) (/ 1/4 (* f f)))
(fma.f64 (PI.f64) (*.f64 (PI.f64) #s(literal -1/192 binary64)) (/.f64 #s(literal 1/4 binary64) (*.f64 f f)))
(* (PI) (PI))
(*.f64 (PI.f64) (PI.f64))
-1/192
#s(literal -1/192 binary64)
(/ 1/4 (* f f))
(/.f64 #s(literal 1/4 binary64) (*.f64 f f))
1/4
#s(literal 1/4 binary64)
(* (PI) 1/4)
(fma.f64 (PI.f64) #s(literal 1/4 binary64) #s(literal 0 binary64))
(neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (* f (+ (* f (+ (* (* (PI) 1/48) -2) (+ (* (PI) 1/8) 0))) 0)) (/ 4 (PI))) f))))
(fma.f64 (log.f64 (/.f64 (fma.f64 (PI.f64) (*.f64 (*.f64 f f) #s(literal 1/12 binary64)) (/.f64 #s(literal 4 binary64) (PI.f64))) f)) (/.f64 #s(literal -4 binary64) (PI.f64)) #s(literal 0 binary64))
(* (/ 1 (/ (PI) 4)) (log (/ (+ (* f (+ (* f (+ (* (* (PI) 1/48) -2) (+ (* (PI) 1/8) 0))) 0)) (/ 4 (PI))) f)))
(fma.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (log.f64 (/.f64 (fma.f64 (PI.f64) (*.f64 (*.f64 f f) #s(literal 1/12 binary64)) (/.f64 #s(literal 4 binary64) (PI.f64))) f)) #s(literal 0 binary64))
(/ 1 (/ (PI) 4))
(/.f64 #s(literal 4 binary64) (PI.f64))
1
#s(literal 1 binary64)
(/ (PI) 4)
(fma.f64 (PI.f64) #s(literal 1/4 binary64) #s(literal 0 binary64))
(PI)
(PI.f64)
4
#s(literal 4 binary64)
(log (/ (+ (* f (+ (* f (+ (* (* (PI) 1/48) -2) (+ (* (PI) 1/8) 0))) 0)) (/ 4 (PI))) f))
(log.f64 (/.f64 (fma.f64 (PI.f64) (*.f64 (*.f64 f f) #s(literal 1/12 binary64)) (/.f64 #s(literal 4 binary64) (PI.f64))) f))
(/ (+ (* f (+ (* f (+ (* (* (PI) 1/48) -2) (+ (* (PI) 1/8) 0))) 0)) (/ 4 (PI))) f)
(/.f64 (fma.f64 (PI.f64) (*.f64 (*.f64 f f) #s(literal 1/12 binary64)) (/.f64 #s(literal 4 binary64) (PI.f64))) f)
(+ (* f (+ (* f (+ (* (* (PI) 1/48) -2) (+ (* (PI) 1/8) 0))) 0)) (/ 4 (PI)))
(fma.f64 (PI.f64) (*.f64 (*.f64 f f) #s(literal 1/12 binary64)) (/.f64 #s(literal 4 binary64) (PI.f64)))
f
(+ (* f (+ (* (* (PI) 1/48) -2) (+ (* (PI) 1/8) 0))) 0)
(fma.f64 (PI.f64) (*.f64 f #s(literal 1/12 binary64)) #s(literal 0 binary64))
(+ (* (* (PI) 1/48) -2) (+ (* (PI) 1/8) 0))
(fma.f64 (PI.f64) #s(literal 1/12 binary64) #s(literal 0 binary64))
(* (PI) 1/48)
(*.f64 (PI.f64) #s(literal 1/48 binary64))
1/48
#s(literal 1/48 binary64)
-2
#s(literal -2 binary64)
(+ (* (PI) 1/8) 0)
(fma.f64 (PI.f64) #s(literal 1/8 binary64) #s(literal 0 binary64))
1/8
#s(literal 1/8 binary64)
0
#s(literal 0 binary64)
(/ 4 (PI))
(/.f64 #s(literal 4 binary64) (PI.f64))

localize193.0ms (1%)

Memory
-2.4MiB live, 313.5MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
✓accuracy98.9%
(fma.f64 f (fma.f64 (*.f64 (PI.f64) #s(literal 1/48 binary64)) #s(literal -2 binary64) (fma.f64 (PI.f64) #s(literal 1/8 binary64) #s(literal 0 binary64))) #s(literal 0 binary64))
✓accuracy98.5%
(fma.f64 (*.f64 (PI.f64) #s(literal 1/48 binary64)) #s(literal -2 binary64) (fma.f64 (PI.f64) #s(literal 1/8 binary64) #s(literal 0 binary64)))
✓accuracy98.5%
(*.f64 (PI.f64) #s(literal 1/48 binary64))
✓accuracy98.1%
(PI.f64)
✓accuracy99.6%
(*.f64 f (*.f64 (*.f64 f f) (*.f64 (PI.f64) (fma.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal -1/192 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 f f))))))
✓accuracy99.5%
(/.f64 (log.f64 (*.f64 f (*.f64 (*.f64 f f) (*.f64 (PI.f64) (fma.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal -1/192 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 f f))))))) (*.f64 (PI.f64) #s(literal 1/4 binary64)))
✓accuracy98.1%
(PI.f64)
✓accuracy47.2%
(*.f64 (*.f64 f f) (*.f64 (PI.f64) (fma.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal -1/192 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 f f)))))
✓accuracy99.5%
(/.f64 (log.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 f (PI.f64)))) (*.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))) #s(literal 1/4 binary64)))
✓accuracy98.5%
(*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)))
✓accuracy98.5%
(sqrt.f64 (PI.f64))
✓accuracy98.1%
(PI.f64)
✓accuracy100.0%
(log.f64 (*.f64 f (fma.f64 (PI.f64) #s(literal 1/4 binary64) #s(literal 0 binary64))))
✓accuracy99.6%
(*.f64 f (fma.f64 (PI.f64) #s(literal 1/4 binary64) #s(literal 0 binary64)))
✓accuracy99.4%
(*.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (log.f64 (*.f64 f (fma.f64 (PI.f64) #s(literal 1/4 binary64) #s(literal 0 binary64)))))
✓accuracy98.1%
(PI.f64)
✓accuracy99.6%
(*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)
✓accuracy99.5%
(/.f64 #s(literal 1 binary64) (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))
✓accuracy99.4%
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 #s(literal 1 binary64) (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))))
✓accuracy98.1%
(PI.f64)
Samples
112.0ms251×0valid
2.0ms5×0invalid
Compiler

Compiled 430 to 56 computations (87% saved)

Precisions
Click to see histograms. Total time spent on operations: 90.0ms
ival-mult: 31.0ms (34.6% of total)
ival-log: 17.0ms (19% of total)
ival-div: 15.0ms (16.7% of total)
ival-sqrt: 8.0ms (8.9% of total)
const: 7.0ms (7.8% of total)
ival-add: 6.0ms (6.7% of total)
ival-neg: 2.0ms (2.2% of total)
ival-pi: 1.0ms (1.1% of total)
ival-tanh: 1.0ms (1.1% of total)
exact: 1.0ms (1.1% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series81.0ms (0.4%)

Memory
0.7MiB live, 118.8MiB allocated
Counts
25 → 204
Calls
Call 1
Inputs
#<alt (log (/ 1 (tanh (* (* (PI) 1/4) f))))>
#<alt (/ 1 (/ (PI) 4))>
#<alt (/ (PI) 4)>
#<alt (neg (* (/ 1 (/ (PI) 4)) (log (/ 1 (tanh (* (* (PI) 1/4) f))))))>
#<alt (/ 4 (PI))>
#<alt (PI)>
#<alt (log (* f (+ (* (PI) 1/4) 0)))>
#<alt (* f (+ (* (PI) 1/4) 0))>
#<alt (* (sqrt (PI)) (sqrt (PI)))>
#<alt (/ (log (* 1/4 (* f (PI)))) (* (* (sqrt (PI)) (sqrt (PI))) 1/4))>
#<alt (log (* 1/4 (* f (PI))))>
#<alt (* f (PI))>
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#<alt (- (/ 32 (* (pow f 4) (* (pow (PI) 3) (pow (+ (* -1/24 (PI)) (* 1/8 (PI))) 2)))) (+ (* 4 (/ (+ (log (+ (* -1/24 (PI)) (* 1/8 (PI)))) (* -1 (log (/ 1 f)))) (PI))) (/ 16 (* (pow f 2) (* (pow (PI) 2) (+ (* -1/24 (PI)) (* 1/8 (PI))))))))>
#<alt (- (* 32 (/ 1 (* (pow f 4) (* (pow (PI) 3) (pow (+ (* -1/24 (PI)) (* 1/8 (PI))) 2))))) (+ (* 4 (/ (+ (log (+ (* -1/24 (PI)) (* 1/8 (PI)))) (* -1 (log (/ 1 f)))) (PI))) (+ (* 256/3 (/ 1 (* (pow f 6) (* (pow (PI) 4) (pow (+ (* -1/24 (PI)) (* 1/8 (PI))) 3))))) (/ 16 (* (pow f 2) (* (pow (PI) 2) (+ (* -1/24 (PI)) (* 1/8 (PI)))))))))>
#<alt (* -4 (/ (+ (log (* -1 (+ (* -1/24 (PI)) (* 1/8 (PI))))) (* -1 (log (/ -1 f)))) (PI)))>
#<alt (* -1 (+ (* 4 (/ (+ (log (* -1 (+ (* -1/24 (PI)) (* 1/8 (PI))))) (* -1 (log (/ -1 f)))) (PI))) (* 16 (/ 1 (* (pow f 2) (* (pow (PI) 2) (+ (* -1/24 (PI)) (* 1/8 (PI)))))))))>
#<alt (- (/ 32 (* (pow f 4) (* (pow (PI) 3) (pow (+ (* -1/24 (PI)) (* 1/8 (PI))) 2)))) (+ (* 4 (/ (+ (log (* -1 (+ (* -1/24 (PI)) (* 1/8 (PI))))) (* -1 (log (/ -1 f)))) (PI))) (/ 16 (* (pow f 2) (* (pow (PI) 2) (+ (* -1/24 (PI)) (* 1/8 (PI))))))))>
#<alt (- (* 32 (/ 1 (* (pow f 4) (* (pow (PI) 3) (pow (+ (* -1/24 (PI)) (* 1/8 (PI))) 2))))) (+ (* 4 (/ (+ (log (* -1 (+ (* -1/24 (PI)) (* 1/8 (PI))))) (* -1 (log (/ -1 f)))) (PI))) (+ (* 256/3 (/ 1 (* (pow f 6) (* (pow (PI) 4) (pow (+ (* -1/24 (PI)) (* 1/8 (PI))) 3))))) (/ 16 (* (pow f 2) (* (pow (PI) 2) (+ (* -1/24 (PI)) (* 1/8 (PI)))))))))>
#<alt (* 4 (/ (+ (log (/ 4 (PI))) (* -1 (log f))) (PI)))>
#<alt (+ (* -8 (/ (* f (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2)))) (pow (PI) 2))) (* 4 (/ (+ (log (/ 4 (PI))) (* -1 (log f))) (PI))))>
#<alt (+ (* 4 (/ (+ (log (/ 4 (PI))) (* -1 (log f))) (PI))) (* f (+ (* -8 (/ (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) (pow (PI) 2))) (* 2 (/ (* f (+ (* -4 (/ (pow (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) 2) (pow (PI) 2))) (* -1/2 (* (PI) (+ (* -16 (/ (pow (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) 2) (pow (PI) 3))) (* 16 (/ (- (* 1/2 (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (+ (* -1/128 (pow (PI) 3)) (* 1/192 (pow (PI) 3))))) (* 1/128 (pow (PI) 3))) (pow (PI) 2)))))))) (PI))))))>
#<alt (+ (* 4 (/ (+ (log (/ 4 (PI))) (* -1 (log f))) (PI))) (* f (+ (* -8 (/ (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) (pow (PI) 2))) (* f (+ (* 2/3 (/ (* f (+ (* -16 (/ (pow (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) 3) (pow (PI) 3))) (+ (* -3 (* (+ (* -16 (/ (pow (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) 2) (pow (PI) 3))) (* 16 (/ (- (* 1/2 (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (+ (* -1/128 (pow (PI) 3)) (* 1/192 (pow (PI) 3))))) (* 1/128 (pow (PI) 3))) (pow (PI) 2)))) (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))))) (* -3/2 (* (PI) (+ (* -32 (/ (* (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) (- (* 1/2 (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (+ (* -1/128 (pow (PI) 3)) (* 1/192 (pow (PI) 3))))) (* 1/128 (pow (PI) 3)))) (pow (PI) 3))) (+ (* -2 (/ (* (+ (* -16 (/ (pow (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) 2) (pow (PI) 3))) (* 16 (/ (- (* 1/2 (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (+ (* -1/128 (pow (PI) 3)) (* 1/192 (pow (PI) 3))))) (* 1/128 (pow (PI) 3))) (pow (PI) 2)))) (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2)))) (PI))) (* 16 (/ (- (* 1/2 (+ (* -1/4 (* (PI) (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (+ (* -1/128 (pow (PI) 3)) (* 1/384 (pow (PI) 3)))))) (+ (* -1/32 (* (pow (PI) 2) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (+ (* -1/1536 (pow (PI) 4)) (* 1/3072 (pow (PI) 4)))))) (+ (* -1/8 (* (PI) (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (* -1/128 (pow (PI) 3))))) (* 1/64 (* (pow (PI) 2) (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))))))) (pow (PI) 2)))))))))) (PI))) (* 2 (/ (+ (* -4 (/ (pow (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) 2) (pow (PI) 2))) (* -1/2 (* (PI) (+ (* -16 (/ (pow (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) 2) (pow (PI) 3))) (* 16 (/ (- (* 1/2 (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (+ (* -1/128 (pow (PI) 3)) (* 1/192 (pow (PI) 3))))) (* 1/128 (pow (PI) 3))) (pow (PI) 2))))))) (PI))))))))>
#<alt (* 4 (/ (log (/ (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))) (PI)))>
#<alt (* 4 (/ (log (/ (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))) (PI)))>
#<alt (* 4 (/ (log (/ (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))) (PI)))>
#<alt (* 4 (/ (log (/ (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))) (PI)))>
#<alt (* 4 (/ (log (/ (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))) (PI)))>
#<alt (* 4 (/ (log (/ (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))) (PI)))>
#<alt (* 4 (/ (log (/ (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))) (PI)))>
#<alt (* 4 (/ (log (/ (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))) (PI)))>
#<alt (/ 4 (* f (PI)))>
#<alt (/ (+ (* -8 (/ (* f (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2)))) (pow (PI) 2))) (* 4 (/ 1 (PI)))) f)>
#<alt (/ (+ (* f (- (* -1 (* f (+ (* -16 (/ (pow (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) 2) (pow (PI) 3))) (* 16 (/ (- (* 1/2 (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (+ (* -1/128 (pow (PI) 3)) (* 1/192 (pow (PI) 3))))) (* 1/128 (pow (PI) 3))) (pow (PI) 2)))))) (* 8 (/ (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) (pow (PI) 2))))) (* 4 (/ 1 (PI)))) f)>
#<alt (/ (+ (* f (- (* f (- (* -1 (* f (+ (* -32 (/ (* (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) (- (* 1/2 (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (+ (* -1/128 (pow (PI) 3)) (* 1/192 (pow (PI) 3))))) (* 1/128 (pow (PI) 3)))) (pow (PI) 3))) (+ (* -2 (/ (* (+ (* -16 (/ (pow (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) 2) (pow (PI) 3))) (* 16 (/ (- (* 1/2 (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (+ (* -1/128 (pow (PI) 3)) (* 1/192 (pow (PI) 3))))) (* 1/128 (pow (PI) 3))) (pow (PI) 2)))) (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2)))) (PI))) (* 16 (/ (- (* 1/2 (+ (* -1/4 (* (PI) (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (+ (* -1/128 (pow (PI) 3)) (* 1/384 (pow (PI) 3)))))) (+ (* -1/32 (* (pow (PI) 2) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (+ (* -1/1536 (pow (PI) 4)) (* 1/3072 (pow (PI) 4)))))) (+ (* -1/8 (* (PI) (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (* -1/128 (pow (PI) 3))))) (* 1/64 (* (pow (PI) 2) (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))))))) (pow (PI) 2))))))) (+ (* -16 (/ (pow (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) 2) (pow (PI) 3))) (* 16 (/ (- (* 1/2 (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (+ (* -1/128 (pow (PI) 3)) (* 1/192 (pow (PI) 3))))) (* 1/128 (pow (PI) 3))) (pow (PI) 2)))))) (* 8 (/ (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) (pow (PI) 2))))) (* 4 (/ 1 (PI)))) f)>
#<alt (/ (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))>
#<alt (/ (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))>
#<alt (/ (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))>
#<alt (/ (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))>
#<alt (/ (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))>
#<alt (/ (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))>
#<alt (/ (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))>
#<alt (/ (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))>
#<alt (* 1/4 (* f (PI)))>
#<alt (* 1/4 (* f (PI)))>
#<alt (* 1/4 (* f (PI)))>
#<alt (* 1/4 (* f (PI)))>
#<alt (* 1/4 (* f (PI)))>
#<alt (* 1/4 (* f (PI)))>
#<alt (* 1/4 (* f (PI)))>
#<alt (* 1/4 (* f (PI)))>
#<alt (* 1/4 (* f (PI)))>
#<alt (* 1/4 (* f (PI)))>
#<alt (* 1/4 (* f (PI)))>
#<alt (* 1/4 (* f (PI)))>
#<alt (* 4 (/ (+ (log f) (log (* 1/4 (PI)))) (PI)))>
#<alt (* 4 (/ (+ (log f) (log (* 1/4 (PI)))) (PI)))>
#<alt (* 4 (/ (+ (log f) (log (* 1/4 (PI)))) (PI)))>
#<alt (* 4 (/ (+ (log f) (log (* 1/4 (PI)))) (PI)))>
#<alt (* 4 (/ (+ (log (* 1/4 (PI))) (* -1 (log (/ 1 f)))) (PI)))>
#<alt (* 4 (/ (+ (log (* 1/4 (PI))) (* -1 (log (/ 1 f)))) (PI)))>
#<alt (* 4 (/ (+ (log (* 1/4 (PI))) (* -1 (log (/ 1 f)))) (PI)))>
#<alt (* 4 (/ (+ (log (* 1/4 (PI))) (* -1 (log (/ 1 f)))) (PI)))>
#<alt (* 4 (/ (+ (log (* -1/4 (PI))) (* -1 (log (/ -1 f)))) (PI)))>
#<alt (* 4 (/ (+ (log (* -1/4 (PI))) (* -1 (log (/ -1 f)))) (PI)))>
#<alt (* 4 (/ (+ (log (* -1/4 (PI))) (* -1 (log (/ -1 f)))) (PI)))>
#<alt (* 4 (/ (+ (log (* -1/4 (PI))) (* -1 (log (/ -1 f)))) (PI)))>
#<alt (* f (+ (* -1/24 (PI)) (* 1/8 (PI))))>
#<alt (* f (+ (* -1/24 (PI)) (* 1/8 (PI))))>
#<alt (* f (+ (* -1/24 (PI)) (* 1/8 (PI))))>
#<alt (* f (+ (* -1/24 (PI)) (* 1/8 (PI))))>
#<alt (* f (+ (* -1/24 (PI)) (* 1/8 (PI))))>
#<alt (* f (+ (* -1/24 (PI)) (* 1/8 (PI))))>
#<alt (* f (+ (* -1/24 (PI)) (* 1/8 (PI))))>
#<alt (* f (+ (* -1/24 (PI)) (* 1/8 (PI))))>
#<alt (* f (+ (* -1/24 (PI)) (* 1/8 (PI))))>
#<alt (* f (+ (* -1/24 (PI)) (* 1/8 (PI))))>
#<alt (* f (+ (* -1/24 (PI)) (* 1/8 (PI))))>
#<alt (* f (+ (* -1/24 (PI)) (* 1/8 (PI))))>
Calls

51 calls:

TimeVariablePointExpression
27.0ms
f
@inf
(log (/ 1 (tanh (* (* (PI) 1/4) f))))
26.0ms
f
@-inf
(log (/ 1 (tanh (* (* (PI) 1/4) f))))
3.0ms
f
@0
(/ (log (* 1/4 (* f (PI)))) (* (* (sqrt (PI)) (sqrt (PI))) 1/4))
3.0ms
f
@-inf
(/ (log (* f (* (* f f) (* (PI) (+ (* (* (PI) (PI)) -1/192) (/ 1/4 (* f f))))))) (* (PI) 1/4))
2.0ms
f
@inf
(neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (* f (+ (* f (+ (* (* (PI) 1/48) -2) (+ (* (PI) 1/8) 0))) 0)) (/ 4 (PI))) f))))

rewrite604.0ms (3.2%)

Memory
13.6MiB live, 598.0MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
4 934×*-lowering-*.f32
4 934×*-lowering-*.f64
4 276×accelerator-lowering-fma.f32
4 276×accelerator-lowering-fma.f64
2 522×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
054221
1332199
23088199
08421194
Stop Event
1×iter limit
1×node limit
Counts
25 → 909
Calls
Call 1
Inputs
(log (/ 1 (tanh (* (* (PI) 1/4) f))))
(/ 1 (/ (PI) 4))
(/ (PI) 4)
(neg (* (/ 1 (/ (PI) 4)) (log (/ 1 (tanh (* (* (PI) 1/4) f))))))
(/ 4 (PI))
(PI)
(log (* f (+ (* (PI) 1/4) 0)))
(* f (+ (* (PI) 1/4) 0))
(* (sqrt (PI)) (sqrt (PI)))
(/ (log (* 1/4 (* f (PI)))) (* (* (sqrt (PI)) (sqrt (PI))) 1/4))
(log (* 1/4 (* f (PI))))
(* f (PI))
(* (* f f) (* (PI) (+ (* (* (PI) (PI)) -1/192) (/ 1/4 (* f f)))))
(/ (log (* f (* (* f f) (* (PI) (+ (* (* (PI) (PI)) -1/192) (/ 1/4 (* f f))))))) (* (PI) 1/4))
(log (* f (* (* f f) (* (PI) (+ (* (* (PI) (PI)) -1/192) (/ 1/4 (* f f)))))))
(* f (* (* f f) (* (PI) (+ (* (* (PI) (PI)) -1/192) (/ 1/4 (* f f))))))
(+ (* (* (PI) 1/48) -2) (+ (* (PI) 1/8) 0))
(neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (* f (+ (* f (+ (* (* (PI) 1/48) -2) (+ (* (PI) 1/8) 0))) 0)) (/ 4 (PI))) f))))
(* (/ 1 (/ (PI) 4)) (log (/ 1 (tanh (* (* (PI) 1/4) f)))))
(/ 1 (tanh (* (* (PI) 1/4) f)))
(* (* (PI) 1/4) f)
(* (/ 4 (PI)) (log (* f (+ (* (PI) 1/4) 0))))
(sqrt (PI))
(* (PI) 1/48)
(+ (* f (+ (* (* (PI) 1/48) -2) (+ (* (PI) 1/8) 0))) 0)
Outputs
(log.f64 (/.f64 #s(literal 1 binary64) (tanh.f64 (fma.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f) #s(literal 0 binary64)))))
(+.f64 (-.f64 #s(literal 0 binary64) (log.f64 (tanh.f64 (fma.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f) #s(literal 0 binary64))))) #s(literal 0 binary64))
(+.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (log.f64 (tanh.f64 (fma.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f) #s(literal 0 binary64))))))
(+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (tanh.f64 (fma.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f) #s(literal 0 binary64)))))))
(+.f64 (log.f64 (pow.f64 (tanh.f64 (fma.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f) #s(literal 0 binary64))) #s(literal -1/2 binary64))) (log.f64 (pow.f64 (tanh.f64 (fma.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f) #s(literal 0 binary64))) #s(literal -1/2 binary64))))
(+.f64 (log.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 (fma.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f) #s(literal 0 binary64)))))) (log.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (fma.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f) #s(literal 0 binary64))))))
(+.f64 (log.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 (fma.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f) #s(literal 0 binary64)) #s(literal 2 binary64) #s(literal 0 binary64))))) (log1p.f64 (exp.f64 (fma.f64 (fma.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f) #s(literal 0 binary64)) #s(literal 2 binary64) #s(literal 0 binary64)))))
(+.f64 (log.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 (fma.f64 (fma.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f) #s(literal 0 binary64)) #s(literal -2 binary64) #s(literal 0 binary64)))))) (log1p.f64 (exp.f64 (fma.f64 (fma.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f) #s(literal 0 binary64)) #s(literal -2 binary64) #s(literal 0 binary64)))))
(-.f64 #s(literal 0 binary64) (log.f64 (tanh.f64 (fma.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f) #s(literal 0 binary64)))))
(-.f64 #s(literal 0 binary64) (log.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (tanh.f64 (fma.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f) #s(literal 0 binary64)))))))
(-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (-.f64 #s(literal 0 binary64) (tanh.f64 (fma.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f) #s(literal 0 binary64))))))
(fma.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (log.f64 (tanh.f64 (fma.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f) #s(literal 0 binary64))))) #s(literal 0 binary64))
(fma.f64 (-.f64 #s(literal 0 binary64) (log.f64 (tanh.f64 (fma.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f) #s(literal 0 binary64))))) #s(literal 1 binary64) #s(literal 0 binary64))
(fma.f64 (log.f64 (tanh.f64 (fma.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f) #s(literal 0 binary64)))) #s(literal -1 binary64) #s(literal 0 binary64))
(fma.f64 #s(literal -1 binary64) (log.f64 (tanh.f64 (fma.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f) #s(literal 0 binary64)))) #s(literal 0 binary64))
(neg.f64 (log.f64 (tanh.f64 (fma.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f) #s(literal 0 binary64)))))
(neg.f64 (*.f64 #s(literal 1 binary64) (log.f64 (tanh.f64 (fma.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f) #s(literal 0 binary64))))))
(neg.f64 (log.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (tanh.f64 (fma.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f) #s(literal 0 binary64)))))))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 (tanh.f64 (fma.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f) #s(literal 0 binary64)))) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (log.f64 (tanh.f64 (fma.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f) #s(literal 0 binary64)))) #s(literal 2 binary64)) (*.f64 #s(literal 0 binary64) (log.f64 (tanh.f64 (fma.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f) #s(literal 0 binary64))))))))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 (tanh.f64 (fma.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f) #s(literal 0 binary64)))) #s(literal 2 binary64))) (+.f64 #s(literal 0 binary64) (log.f64 (tanh.f64 (fma.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f) #s(literal 0 binary64))))))
(*.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (log.f64 (tanh.f64 (fma.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f) #s(literal 0 binary64))))))
(*.f64 (-.f64 #s(literal 0 binary64) (log.f64 (tanh.f64 (fma.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f) #s(literal 0 binary64))))) #s(literal 1 binary64))
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(fma.f64 f (*.f64 (PI.f64) #s(literal -1/24 binary64)) (fma.f64 f (fma.f64 (PI.f64) #s(literal 1/8 binary64) #s(literal 0 binary64)) #s(literal 0 binary64)))
(fma.f64 f (*.f64 (PI.f64) #s(literal -1/24 binary64)) (-.f64 (fma.f64 f (fma.f64 (PI.f64) #s(literal 1/8 binary64) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)))
(fma.f64 f (fma.f64 (PI.f64) #s(literal 1/8 binary64) #s(literal 0 binary64)) (*.f64 (PI.f64) (*.f64 #s(literal -1/24 binary64) f)))
(fma.f64 f (fma.f64 (PI.f64) #s(literal 1/12 binary64) #s(literal 0 binary64)) #s(literal 0 binary64))
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(fma.f64 (*.f64 (PI.f64) #s(literal -1/24 binary64)) f (-.f64 (fma.f64 f (fma.f64 (PI.f64) #s(literal 1/8 binary64) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)))
(fma.f64 #s(literal 1/8 binary64) (*.f64 (PI.f64) f) (*.f64 (PI.f64) (*.f64 #s(literal -1/24 binary64) f)))
(fma.f64 (fma.f64 (PI.f64) #s(literal 1/8 binary64) #s(literal 0 binary64)) f (*.f64 (PI.f64) (*.f64 #s(literal -1/24 binary64) f)))
(fma.f64 (fma.f64 (PI.f64) #s(literal 1/12 binary64) #s(literal 0 binary64)) f #s(literal 0 binary64))
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(fma.f64 (fma.f64 f (*.f64 (fma.f64 (PI.f64) #s(literal 1/12 binary64) #s(literal 0 binary64)) (fma.f64 f (fma.f64 (PI.f64) #s(literal 1/12 binary64) #s(literal 0 binary64)) #s(literal 0 binary64))) #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 f (fma.f64 (PI.f64) #s(literal 1/12 binary64) #s(literal 0 binary64)) #s(literal 0 binary64))) #s(literal 0 binary64))
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(fma.f64 (*.f64 f (*.f64 (PI.f64) #s(literal 1/48 binary64))) #s(literal -2 binary64) (-.f64 (fma.f64 f (fma.f64 (PI.f64) #s(literal 1/8 binary64) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)))
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(fma.f64 (*.f64 f #s(literal -2 binary64)) (*.f64 (PI.f64) #s(literal 1/48 binary64)) (-.f64 (fma.f64 f (fma.f64 (PI.f64) #s(literal 1/8 binary64) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)))
(fma.f64 (*.f64 f #s(literal 1/8 binary64)) (PI.f64) (*.f64 (PI.f64) (*.f64 #s(literal -1/24 binary64) f)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 f (fma.f64 (PI.f64) #s(literal 1/12 binary64) #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 f (*.f64 (fma.f64 (PI.f64) #s(literal 1/12 binary64) #s(literal 0 binary64)) (fma.f64 f (fma.f64 (PI.f64) #s(literal 1/12 binary64) #s(literal 0 binary64)) #s(literal 0 binary64))) #s(literal 0 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 f (fma.f64 (PI.f64) #s(literal 1/12 binary64) #s(literal 0 binary64)) #s(literal 0 binary64))))
(/.f64 (fma.f64 (*.f64 f (*.f64 f f)) (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/1728 binary64)) #s(literal 0 binary64)) (fma.f64 f (*.f64 (fma.f64 (PI.f64) #s(literal 1/12 binary64) #s(literal 0 binary64)) (fma.f64 f (fma.f64 (PI.f64) #s(literal 1/12 binary64) #s(literal 0 binary64)) #s(literal 0 binary64))) #s(literal 0 binary64)))
(/.f64 (fma.f64 f (*.f64 (fma.f64 (PI.f64) #s(literal 1/12 binary64) #s(literal 0 binary64)) (fma.f64 f (fma.f64 (PI.f64) #s(literal 1/12 binary64) #s(literal 0 binary64)) #s(literal 0 binary64))) #s(literal 0 binary64)) (fma.f64 f (fma.f64 (PI.f64) #s(literal 1/12 binary64) #s(literal 0 binary64)) #s(literal 0 binary64)))
(/.f64 (neg.f64 (fma.f64 (*.f64 f (*.f64 f f)) (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/1728 binary64)) #s(literal 0 binary64))) (neg.f64 (fma.f64 f (*.f64 (fma.f64 (PI.f64) #s(literal 1/12 binary64) #s(literal 0 binary64)) (fma.f64 f (fma.f64 (PI.f64) #s(literal 1/12 binary64) #s(literal 0 binary64)) #s(literal 0 binary64))) #s(literal 0 binary64))))
(/.f64 (neg.f64 (fma.f64 f (*.f64 (fma.f64 (PI.f64) #s(literal 1/12 binary64) #s(literal 0 binary64)) (fma.f64 f (fma.f64 (PI.f64) #s(literal 1/12 binary64) #s(literal 0 binary64)) #s(literal 0 binary64))) #s(literal 0 binary64))) (neg.f64 (fma.f64 f (fma.f64 (PI.f64) #s(literal 1/12 binary64) #s(literal 0 binary64)) #s(literal 0 binary64))))
(/.f64 (fma.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal -1/13824 binary64)) (*.f64 f (*.f64 f f)) (*.f64 (fma.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/512 binary64) #s(literal 0 binary64)) (*.f64 f (*.f64 f f)))) (fma.f64 (*.f64 (PI.f64) (*.f64 #s(literal -1/24 binary64) f)) (*.f64 (PI.f64) (*.f64 #s(literal -1/24 binary64) f)) (-.f64 (*.f64 (fma.f64 f (fma.f64 (PI.f64) #s(literal 1/8 binary64) #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 f (fma.f64 (PI.f64) #s(literal 1/8 binary64) #s(literal 0 binary64)) #s(literal 0 binary64))) (*.f64 (*.f64 (PI.f64) (*.f64 #s(literal -1/24 binary64) f)) (fma.f64 f (fma.f64 (PI.f64) #s(literal 1/8 binary64) #s(literal 0 binary64)) #s(literal 0 binary64))))))
(/.f64 (-.f64 #s(literal 0 binary64) (fma.f64 f (*.f64 (fma.f64 (PI.f64) #s(literal 1/12 binary64) #s(literal 0 binary64)) (fma.f64 f (fma.f64 (PI.f64) #s(literal 1/12 binary64) #s(literal 0 binary64)) #s(literal 0 binary64))) #s(literal 0 binary64))) (-.f64 #s(literal 0 binary64) (fma.f64 f (fma.f64 (PI.f64) #s(literal 1/12 binary64) #s(literal 0 binary64)) #s(literal 0 binary64))))
(/.f64 (-.f64 (*.f64 (*.f64 (PI.f64) (*.f64 #s(literal -1/24 binary64) f)) (*.f64 (PI.f64) (*.f64 #s(literal -1/24 binary64) f))) (*.f64 (fma.f64 f (fma.f64 (PI.f64) #s(literal 1/8 binary64) #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 f (fma.f64 (PI.f64) #s(literal 1/8 binary64) #s(literal 0 binary64)) #s(literal 0 binary64)))) (-.f64 (*.f64 (PI.f64) (*.f64 #s(literal -1/24 binary64) f)) (fma.f64 f (fma.f64 (PI.f64) #s(literal 1/8 binary64) #s(literal 0 binary64)) #s(literal 0 binary64))))
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(/.f64 (*.f64 f (fma.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/512 binary64) (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal -1/13824 binary64)))) (fma.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/576 binary64) (*.f64 (fma.f64 (PI.f64) #s(literal 1/8 binary64) #s(literal 0 binary64)) (-.f64 (fma.f64 (PI.f64) #s(literal 1/8 binary64) #s(literal 0 binary64)) (*.f64 (PI.f64) #s(literal -1/24 binary64))))))
(/.f64 (*.f64 f (*.f64 (fma.f64 (PI.f64) #s(literal 1/12 binary64) #s(literal 0 binary64)) (*.f64 (PI.f64) #s(literal -1/6 binary64)))) (*.f64 (PI.f64) #s(literal -1/6 binary64)))
(/.f64 (*.f64 (fma.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/512 binary64) (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal -1/13824 binary64))) f) (fma.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/576 binary64) (*.f64 (fma.f64 (PI.f64) #s(literal 1/8 binary64) #s(literal 0 binary64)) (-.f64 (fma.f64 (PI.f64) #s(literal 1/8 binary64) #s(literal 0 binary64)) (*.f64 (PI.f64) #s(literal -1/24 binary64))))))
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(pow.f64 (/.f64 (fma.f64 f (fma.f64 (PI.f64) #s(literal 1/12 binary64) #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 f (*.f64 (fma.f64 (PI.f64) #s(literal 1/12 binary64) #s(literal 0 binary64)) (fma.f64 f (fma.f64 (PI.f64) #s(literal 1/12 binary64) #s(literal 0 binary64)) #s(literal 0 binary64))) #s(literal 0 binary64))) #s(literal -1 binary64))
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(*.f64 f (fma.f64 (PI.f64) #s(literal 1/12 binary64) #s(literal 0 binary64)))
(*.f64 (fma.f64 (PI.f64) #s(literal 1/12 binary64) #s(literal 0 binary64)) f)
(*.f64 (fma.f64 (*.f64 f (*.f64 f f)) (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/1728 binary64)) #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 f (*.f64 (fma.f64 (PI.f64) #s(literal 1/12 binary64) #s(literal 0 binary64)) (fma.f64 f (fma.f64 (PI.f64) #s(literal 1/12 binary64) #s(literal 0 binary64)) #s(literal 0 binary64))) #s(literal 0 binary64))))
(*.f64 (fma.f64 f (*.f64 (fma.f64 (PI.f64) #s(literal 1/12 binary64) #s(literal 0 binary64)) (fma.f64 f (fma.f64 (PI.f64) #s(literal 1/12 binary64) #s(literal 0 binary64)) #s(literal 0 binary64))) #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 f (fma.f64 (PI.f64) #s(literal 1/12 binary64) #s(literal 0 binary64)) #s(literal 0 binary64))))

simplify933.0ms (4.9%)

Memory
-82.8MiB live, 636.1MiB allocated
Algorithm
1×egg-herbie
Rules
12 548×accelerator-lowering-fma.f32
12 548×accelerator-lowering-fma.f64
4 610×*-lowering-*.f32
4 610×*-lowering-*.f64
4 252×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04184803
112644198
248153609
091073495
Stop Event
1×iter limit
1×node limit
Counts
204 → 204
Calls
Call 1
Inputs
(+ (log (/ 4 (PI))) (* -1 (log f)))
(+ (log (/ 4 (PI))) (+ (* -2 (/ (* f (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2)))) (PI))) (* -1 (log f))))
(+ (log (/ 4 (PI))) (+ (* -1 (log f)) (* f (+ (* -2 (/ (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) (PI))) (* 1/2 (* f (+ (* -4 (/ (pow (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) 2) (pow (PI) 2))) (* -1/2 (* (PI) (+ (* -16 (/ (pow (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) 2) (pow (PI) 3))) (* 16 (/ (- (* 1/2 (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (+ (* -1/128 (pow (PI) 3)) (* 1/192 (pow (PI) 3))))) (* 1/128 (pow (PI) 3))) (pow (PI) 2)))))))))))))
(+ (log (/ 4 (PI))) (+ (* -1 (log f)) (* f (+ (* -2 (/ (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) (PI))) (* f (+ (* 1/6 (* f (+ (* -16 (/ (pow (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) 3) (pow (PI) 3))) (+ (* -3 (* (+ (* -16 (/ (pow (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) 2) (pow (PI) 3))) (* 16 (/ (- (* 1/2 (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (+ (* -1/128 (pow (PI) 3)) (* 1/192 (pow (PI) 3))))) (* 1/128 (pow (PI) 3))) (pow (PI) 2)))) (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))))) (* -3/2 (* (PI) (+ (* -32 (/ (* (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) (- (* 1/2 (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (+ (* -1/128 (pow (PI) 3)) (* 1/192 (pow (PI) 3))))) (* 1/128 (pow (PI) 3)))) (pow (PI) 3))) (+ (* -2 (/ (* (+ (* -16 (/ (pow (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) 2) (pow (PI) 3))) (* 16 (/ (- (* 1/2 (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (+ (* -1/128 (pow (PI) 3)) (* 1/192 (pow (PI) 3))))) (* 1/128 (pow (PI) 3))) (pow (PI) 2)))) (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2)))) (PI))) (* 16 (/ (- (* 1/2 (+ (* -1/4 (* (PI) (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (+ (* -1/128 (pow (PI) 3)) (* 1/384 (pow (PI) 3)))))) (+ (* -1/32 (* (pow (PI) 2) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (+ (* -1/1536 (pow (PI) 4)) (* 1/3072 (pow (PI) 4)))))) (+ (* -1/8 (* (PI) (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (* -1/128 (pow (PI) 3))))) (* 1/64 (* (pow (PI) 2) (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))))))) (pow (PI) 2))))))))))) (* 1/2 (+ (* -4 (/ (pow (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) 2) (pow (PI) 2))) (* -1/2 (* (PI) (+ (* -16 (/ (pow (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) 2) (pow (PI) 3))) (* 16 (/ (- (* 1/2 (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (+ (* -1/128 (pow (PI) 3)) (* 1/192 (pow (PI) 3))))) (* 1/128 (pow (PI) 3))) (pow (PI) 2))))))))))))))
(log (/ (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI))))))))
(log (/ (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI))))))))
(log (/ (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI))))))))
(log (/ (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI))))))))
(log (/ (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI))))))))
(log (/ (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI))))))))
(log (/ (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI))))))))
(log (/ (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI))))))))
(* -4 (/ (+ (log (/ 4 (PI))) (* -1 (log f))) (PI)))
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(/ (+ (* f (- (* f (- (* -1 (* f (+ (* -32 (/ (* (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) (- (* 1/2 (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (+ (* -1/128 (pow (PI) 3)) (* 1/192 (pow (PI) 3))))) (* 1/128 (pow (PI) 3)))) (pow (PI) 3))) (+ (* -2 (/ (* (+ (* -16 (/ (pow (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) 2) (pow (PI) 3))) (* 16 (/ (- (* 1/2 (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (+ (* -1/128 (pow (PI) 3)) (* 1/192 (pow (PI) 3))))) (* 1/128 (pow (PI) 3))) (pow (PI) 2)))) (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2)))) (PI))) (* 16 (/ (- (* 1/2 (+ (* -1/4 (* (PI) (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (+ (* -1/128 (pow (PI) 3)) (* 1/384 (pow (PI) 3)))))) (+ (* -1/32 (* (pow (PI) 2) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (+ (* -1/1536 (pow (PI) 4)) (* 1/3072 (pow (PI) 4)))))) (+ (* -1/8 (* (PI) (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (* -1/128 (pow (PI) 3))))) (* 1/64 (* (pow (PI) 2) (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))))))) (pow (PI) 2))))))) (+ (* -16 (/ (pow (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) 2) (pow (PI) 3))) (* 16 (/ (- (* 1/2 (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (+ (* -1/128 (pow (PI) 3)) (* 1/192 (pow (PI) 3))))) (* 1/128 (pow (PI) 3))) (pow (PI) 2)))))) (* 8 (/ (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) (pow (PI) 2))))) (* 4 (/ 1 (PI)))) f)
(/ (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))
(/ (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))
(/ (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))
(/ (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))
(/ (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))
(/ (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))
(/ (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))
(/ (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))
(* 1/4 (* f (PI)))
(* 1/4 (* f (PI)))
(* 1/4 (* f (PI)))
(* 1/4 (* f (PI)))
(* 1/4 (* f (PI)))
(* 1/4 (* f (PI)))
(* 1/4 (* f (PI)))
(* 1/4 (* f (PI)))
(* 1/4 (* f (PI)))
(* 1/4 (* f (PI)))
(* 1/4 (* f (PI)))
(* 1/4 (* f (PI)))
(* 4 (/ (+ (log f) (log (* 1/4 (PI)))) (PI)))
(* 4 (/ (+ (log f) (log (* 1/4 (PI)))) (PI)))
(* 4 (/ (+ (log f) (log (* 1/4 (PI)))) (PI)))
(* 4 (/ (+ (log f) (log (* 1/4 (PI)))) (PI)))
(* 4 (/ (+ (log (* 1/4 (PI))) (* -1 (log (/ 1 f)))) (PI)))
(* 4 (/ (+ (log (* 1/4 (PI))) (* -1 (log (/ 1 f)))) (PI)))
(* 4 (/ (+ (log (* 1/4 (PI))) (* -1 (log (/ 1 f)))) (PI)))
(* 4 (/ (+ (log (* 1/4 (PI))) (* -1 (log (/ 1 f)))) (PI)))
(* 4 (/ (+ (log (* -1/4 (PI))) (* -1 (log (/ -1 f)))) (PI)))
(* 4 (/ (+ (log (* -1/4 (PI))) (* -1 (log (/ -1 f)))) (PI)))
(* 4 (/ (+ (log (* -1/4 (PI))) (* -1 (log (/ -1 f)))) (PI)))
(* 4 (/ (+ (log (* -1/4 (PI))) (* -1 (log (/ -1 f)))) (PI)))
(* f (+ (* -1/24 (PI)) (* 1/8 (PI))))
(* f (+ (* -1/24 (PI)) (* 1/8 (PI))))
(* f (+ (* -1/24 (PI)) (* 1/8 (PI))))
(* f (+ (* -1/24 (PI)) (* 1/8 (PI))))
(* f (+ (* -1/24 (PI)) (* 1/8 (PI))))
(* f (+ (* -1/24 (PI)) (* 1/8 (PI))))
(* f (+ (* -1/24 (PI)) (* 1/8 (PI))))
(* f (+ (* -1/24 (PI)) (* 1/8 (PI))))
(* f (+ (* -1/24 (PI)) (* 1/8 (PI))))
(* f (+ (* -1/24 (PI)) (* 1/8 (PI))))
(* f (+ (* -1/24 (PI)) (* 1/8 (PI))))
(* f (+ (* -1/24 (PI)) (* 1/8 (PI))))
Outputs
(+ (log (/ 4 (PI))) (* -1 (log f)))
(-.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (log.f64 f))
(+ (log (/ 4 (PI))) (+ (* -2 (/ (* f (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2)))) (PI))) (* -1 (log f))))
(-.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (log.f64 f))
(+ (log (/ 4 (PI))) (+ (* -1 (log f)) (* f (+ (* -2 (/ (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) (PI))) (* 1/2 (* f (+ (* -4 (/ (pow (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) 2) (pow (PI) 2))) (* -1/2 (* (PI) (+ (* -16 (/ (pow (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) 2) (pow (PI) 3))) (* 16 (/ (- (* 1/2 (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (+ (* -1/128 (pow (PI) 3)) (* 1/192 (pow (PI) 3))))) (* 1/128 (pow (PI) 3))) (pow (PI) 2)))))))))))))
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(log (/ (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI))))))))
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(* -4 (/ (+ (log (/ 4 (PI))) (* -1 (log f))) (PI)))
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(- (* f (- (* -2 (/ (* f (+ (* -4 (/ (pow (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) 2) (pow (PI) 2))) (* -1/2 (* (PI) (+ (* -16 (/ (pow (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) 2) (pow (PI) 3))) (* 16 (/ (- (* 1/2 (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (+ (* -1/128 (pow (PI) 3)) (* 1/192 (pow (PI) 3))))) (* 1/128 (pow (PI) 3))) (pow (PI) 2)))))))) (PI))) (* -8 (/ (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) (pow (PI) 2))))) (* 4 (/ (+ (log (/ 4 (PI))) (* -1 (log f))) (PI))))
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(/ (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))
(/.f64 (+.f64 (exp.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f))) (exp.f64 (*.f64 (PI.f64) (*.f64 f #s(literal -1/4 binary64))))) (-.f64 (exp.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f))) (exp.f64 (*.f64 (PI.f64) (*.f64 f #s(literal -1/4 binary64))))))
(/ (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))
(/.f64 (+.f64 (exp.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f))) (exp.f64 (*.f64 (PI.f64) (*.f64 f #s(literal -1/4 binary64))))) (-.f64 (exp.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f))) (exp.f64 (*.f64 (PI.f64) (*.f64 f #s(literal -1/4 binary64))))))
(/ (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))
(/.f64 (+.f64 (exp.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f))) (exp.f64 (*.f64 (PI.f64) (*.f64 f #s(literal -1/4 binary64))))) (-.f64 (exp.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f))) (exp.f64 (*.f64 (PI.f64) (*.f64 f #s(literal -1/4 binary64))))))
(/ (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))
(/.f64 (+.f64 (exp.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f))) (exp.f64 (*.f64 (PI.f64) (*.f64 f #s(literal -1/4 binary64))))) (-.f64 (exp.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f))) (exp.f64 (*.f64 (PI.f64) (*.f64 f #s(literal -1/4 binary64))))))
(/ (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))
(/.f64 (+.f64 (exp.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f))) (exp.f64 (*.f64 (PI.f64) (*.f64 f #s(literal -1/4 binary64))))) (-.f64 (exp.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f))) (exp.f64 (*.f64 (PI.f64) (*.f64 f #s(literal -1/4 binary64))))))
(/ (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))
(/.f64 (+.f64 (exp.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f))) (exp.f64 (*.f64 (PI.f64) (*.f64 f #s(literal -1/4 binary64))))) (-.f64 (exp.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f))) (exp.f64 (*.f64 (PI.f64) (*.f64 f #s(literal -1/4 binary64))))))
(/ (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))
(/.f64 (+.f64 (exp.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f))) (exp.f64 (*.f64 (PI.f64) (*.f64 f #s(literal -1/4 binary64))))) (-.f64 (exp.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f))) (exp.f64 (*.f64 (PI.f64) (*.f64 f #s(literal -1/4 binary64))))))
(/ (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))
(/.f64 (+.f64 (exp.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f))) (exp.f64 (*.f64 (PI.f64) (*.f64 f #s(literal -1/4 binary64))))) (-.f64 (exp.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f))) (exp.f64 (*.f64 (PI.f64) (*.f64 f #s(literal -1/4 binary64))))))
(* 1/4 (* f (PI)))
(*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f))
(* 1/4 (* f (PI)))
(*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f))
(* 1/4 (* f (PI)))
(*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f))
(* 1/4 (* f (PI)))
(*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f))
(* 1/4 (* f (PI)))
(*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f))
(* 1/4 (* f (PI)))
(*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f))
(* 1/4 (* f (PI)))
(*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f))
(* 1/4 (* f (PI)))
(*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f))
(* 1/4 (* f (PI)))
(*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f))
(* 1/4 (* f (PI)))
(*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f))
(* 1/4 (* f (PI)))
(*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f))
(* 1/4 (* f (PI)))
(*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f))
(* 4 (/ (+ (log f) (log (* 1/4 (PI)))) (PI)))
(/.f64 (*.f64 #s(literal 4 binary64) (+.f64 (log.f64 f) (log.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64))))) (PI.f64))
(* 4 (/ (+ (log f) (log (* 1/4 (PI)))) (PI)))
(/.f64 (*.f64 #s(literal 4 binary64) (+.f64 (log.f64 f) (log.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64))))) (PI.f64))
(* 4 (/ (+ (log f) (log (* 1/4 (PI)))) (PI)))
(/.f64 (*.f64 #s(literal 4 binary64) (+.f64 (log.f64 f) (log.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64))))) (PI.f64))
(* 4 (/ (+ (log f) (log (* 1/4 (PI)))) (PI)))
(/.f64 (*.f64 #s(literal 4 binary64) (+.f64 (log.f64 f) (log.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64))))) (PI.f64))
(* 4 (/ (+ (log (* 1/4 (PI))) (* -1 (log (/ 1 f)))) (PI)))
(/.f64 (*.f64 #s(literal 4 binary64) (+.f64 (log.f64 f) (log.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64))))) (PI.f64))
(* 4 (/ (+ (log (* 1/4 (PI))) (* -1 (log (/ 1 f)))) (PI)))
(/.f64 (*.f64 #s(literal 4 binary64) (+.f64 (log.f64 f) (log.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64))))) (PI.f64))
(* 4 (/ (+ (log (* 1/4 (PI))) (* -1 (log (/ 1 f)))) (PI)))
(/.f64 (*.f64 #s(literal 4 binary64) (+.f64 (log.f64 f) (log.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64))))) (PI.f64))
(* 4 (/ (+ (log (* 1/4 (PI))) (* -1 (log (/ 1 f)))) (PI)))
(/.f64 (*.f64 #s(literal 4 binary64) (+.f64 (log.f64 f) (log.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64))))) (PI.f64))
(* 4 (/ (+ (log (* -1/4 (PI))) (* -1 (log (/ -1 f)))) (PI)))
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (log.f64 (*.f64 (PI.f64) #s(literal -1/4 binary64))) (log.f64 (/.f64 #s(literal -1 binary64) f)))) (PI.f64))
(* 4 (/ (+ (log (* -1/4 (PI))) (* -1 (log (/ -1 f)))) (PI)))
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (log.f64 (*.f64 (PI.f64) #s(literal -1/4 binary64))) (log.f64 (/.f64 #s(literal -1 binary64) f)))) (PI.f64))
(* 4 (/ (+ (log (* -1/4 (PI))) (* -1 (log (/ -1 f)))) (PI)))
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (log.f64 (*.f64 (PI.f64) #s(literal -1/4 binary64))) (log.f64 (/.f64 #s(literal -1 binary64) f)))) (PI.f64))
(* 4 (/ (+ (log (* -1/4 (PI))) (* -1 (log (/ -1 f)))) (PI)))
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (log.f64 (*.f64 (PI.f64) #s(literal -1/4 binary64))) (log.f64 (/.f64 #s(literal -1 binary64) f)))) (PI.f64))
(* f (+ (* -1/24 (PI)) (* 1/8 (PI))))
(*.f64 f (*.f64 (PI.f64) #s(literal 1/12 binary64)))
(* f (+ (* -1/24 (PI)) (* 1/8 (PI))))
(*.f64 f (*.f64 (PI.f64) #s(literal 1/12 binary64)))
(* f (+ (* -1/24 (PI)) (* 1/8 (PI))))
(*.f64 f (*.f64 (PI.f64) #s(literal 1/12 binary64)))
(* f (+ (* -1/24 (PI)) (* 1/8 (PI))))
(*.f64 f (*.f64 (PI.f64) #s(literal 1/12 binary64)))
(* f (+ (* -1/24 (PI)) (* 1/8 (PI))))
(*.f64 f (*.f64 (PI.f64) #s(literal 1/12 binary64)))
(* f (+ (* -1/24 (PI)) (* 1/8 (PI))))
(*.f64 f (*.f64 (PI.f64) #s(literal 1/12 binary64)))
(* f (+ (* -1/24 (PI)) (* 1/8 (PI))))
(*.f64 f (*.f64 (PI.f64) #s(literal 1/12 binary64)))
(* f (+ (* -1/24 (PI)) (* 1/8 (PI))))
(*.f64 f (*.f64 (PI.f64) #s(literal 1/12 binary64)))
(* f (+ (* -1/24 (PI)) (* 1/8 (PI))))
(*.f64 f (*.f64 (PI.f64) #s(literal 1/12 binary64)))
(* f (+ (* -1/24 (PI)) (* 1/8 (PI))))
(*.f64 f (*.f64 (PI.f64) #s(literal 1/12 binary64)))
(* f (+ (* -1/24 (PI)) (* 1/8 (PI))))
(*.f64 f (*.f64 (PI.f64) #s(literal 1/12 binary64)))
(* f (+ (* -1/24 (PI)) (* 1/8 (PI))))
(*.f64 f (*.f64 (PI.f64) #s(literal 1/12 binary64)))

eval497.0ms (2.6%)

Memory
45.2MiB live, 605.0MiB allocated
Compiler

Compiled 49 609 to 7 587 computations (84.7% saved)

prune277.0ms (1.4%)

Memory
14.6MiB live, 656.3MiB allocated
Pruning

18 alts after pruning (16 fresh and 2 done)

PrunedKeptTotal
New2 033122 045
Fresh11415
Picked505
Done123
Total2 050182 068
Accuracy
100.0%
Counts
2 068 → 18
Alt Table
Click to see full alt table
StatusAccuracyProgram
96.7%
(/.f64 (*.f64 #s(literal 4 binary64) (log.f64 (/.f64 f (fma.f64 f (fma.f64 f (fma.f64 (PI.f64) #s(literal 1/12 binary64) #s(literal 0 binary64)) #s(literal 0 binary64)) (/.f64 #s(literal 4 binary64) (PI.f64)))))) (PI.f64))
1.6%
(/.f64 (*.f64 #s(literal -4 binary64) (+.f64 (log.f64 f) (log.f64 (*.f64 (PI.f64) #s(literal 1/12 binary64))))) (PI.f64))
96.7%
(/.f64 (log.f64 (/.f64 (fma.f64 f (fma.f64 f (fma.f64 (PI.f64) #s(literal 1/12 binary64) #s(literal 0 binary64)) #s(literal 0 binary64)) (/.f64 #s(literal 4 binary64) (PI.f64))) f)) (fma.f64 (PI.f64) #s(literal -1/4 binary64) #s(literal 0 binary64)))
96.6%
(/.f64 (log.f64 (*.f64 f (*.f64 (PI.f64) (fma.f64 (*.f64 #s(literal -1/192 binary64) (*.f64 f f)) (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))))) (*.f64 (PI.f64) #s(literal 1/4 binary64)))
✓96.0%
(/.f64 (log.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 f (PI.f64)))) (*.f64 (PI.f64) #s(literal 1/4 binary64)))
99.0%
(/.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64)))) #s(literal 1/4 binary64)))
✓99.5%
(/.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (*.f64 (PI.f64) #s(literal 1/4 binary64)))
95.9%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/4 binary64) (/.f64 (log.f64 (fma.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f) #s(literal 0 binary64))) (PI.f64))))
95.9%
(/.f64 #s(literal -4 binary64) (/.f64 (-.f64 #s(literal 0 binary64) (PI.f64)) (log.f64 (*.f64 f (fma.f64 (PI.f64) #s(literal 1/4 binary64) #s(literal 0 binary64))))))
95.7%
(*.f64 (/.f64 (log.f64 (fma.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f) #s(literal 0 binary64))) (fma.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/64 binary64) #s(literal 0 binary64))) (fma.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/16 binary64) #s(literal 0 binary64)))
95.9%
(*.f64 (/.f64 (log.f64 (fma.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f) #s(literal 0 binary64))) (fma.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/16 binary64) #s(literal 0 binary64))) (fma.f64 (PI.f64) #s(literal 1/4 binary64) #s(literal 0 binary64)))
95.8%
(*.f64 (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64))) (/.f64 (log.f64 (fma.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f) #s(literal 0 binary64))) (sqrt.f64 (PI.f64))))
95.9%
(*.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (log.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64))))
95.5%
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (sqrt.f64 (PI.f64)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64)))) (log.f64 (*.f64 f (fma.f64 (PI.f64) #s(literal 1/4 binary64) #s(literal 0 binary64)))))
95.9%
(neg.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/4 binary64) (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (PI.f64)) (*.f64 (PI.f64) (log.f64 (*.f64 f (fma.f64 (PI.f64) #s(literal 1/4 binary64) #s(literal 0 binary64)))))) (*.f64 (PI.f64) (PI.f64))))))
95.9%
(neg.f64 (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -1/4 binary64) (log.f64 (*.f64 f (fma.f64 (PI.f64) #s(literal 1/4 binary64) #s(literal 0 binary64))))) (PI.f64))))
99.4%
(neg.f64 (*.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (log.f64 (/.f64 #s(literal 1 binary64) (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))))))
96.1%
(neg.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (sqrt.f64 (PI.f64)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64)))) (log.f64 (/.f64 (fma.f64 f (fma.f64 f (fma.f64 (*.f64 (PI.f64) #s(literal 1/48 binary64)) #s(literal -2 binary64) (fma.f64 (PI.f64) #s(literal 1/8 binary64) #s(literal 0 binary64))) #s(literal 0 binary64)) (/.f64 #s(literal 4 binary64) (PI.f64))) f))))
Compiler

Compiled 1 489 to 536 computations (64% saved)

regimes130.0ms (0.7%)

Memory
-7.3MiB live, 190.1MiB allocated
Counts
58 → 1
Calls
Call 1
Inputs
(*.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (log.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64))))
(/.f64 (log.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 f (PI.f64)))) (*.f64 (PI.f64) #s(literal 1/4 binary64)))
(*.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (log.f64 (*.f64 f (fma.f64 (PI.f64) #s(literal 1/4 binary64) #s(literal 0 binary64)))))
(*.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (log.f64 (*.f64 f (*.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) #s(literal 0 binary64)) #s(literal 1/2 binary64)))))
(/.f64 #s(literal -4 binary64) (/.f64 (-.f64 #s(literal 0 binary64) (PI.f64)) (log.f64 (*.f64 f (fma.f64 (PI.f64) #s(literal 1/4 binary64) #s(literal 0 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) (log.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 f (PI.f64))))))
(neg.f64 (*.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (log.f64 (/.f64 #s(literal 2 binary64) (*.f64 f (fma.f64 (PI.f64) #s(literal 1/2 binary64) #s(literal 0 binary64)))))))
(neg.f64 (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -1/4 binary64) (log.f64 (*.f64 f (fma.f64 (PI.f64) #s(literal 1/4 binary64) #s(literal 0 binary64))))) (PI.f64))))
(*.f64 (/.f64 (log.f64 (fma.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f) #s(literal 0 binary64))) (fma.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/16 binary64) #s(literal 0 binary64))) (fma.f64 (PI.f64) #s(literal 1/4 binary64) #s(literal 0 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/4 binary64) (/.f64 (log.f64 (fma.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f) #s(literal 0 binary64))) (PI.f64))))
(neg.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/4 binary64) (/.f64 (log.f64 (*.f64 f (fma.f64 (PI.f64) #s(literal 1/4 binary64) #s(literal 0 binary64)))) (PI.f64)))))
(/.f64 (log.f64 (*.f64 f (*.f64 (PI.f64) (fma.f64 (*.f64 #s(literal -1/192 binary64) (*.f64 f f)) (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))))) (*.f64 (PI.f64) #s(literal 1/4 binary64)))
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 #s(literal 2 binary64) (*.f64 f (fma.f64 (PI.f64) #s(literal 1/2 binary64) #s(literal 0 binary64)))))))
(/.f64 (log.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 f (PI.f64)))) (*.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))) #s(literal 1/4 binary64)))
(/.f64 (log.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) f) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)))) (*.f64 (PI.f64) #s(literal 1/4 binary64)))
(/.f64 (log.f64 (*.f64 f (fma.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (*.f64 #s(literal -1/192 binary64) (*.f64 f f)) (*.f64 #s(literal 1/4 binary64) (PI.f64))))) (*.f64 (PI.f64) #s(literal 1/4 binary64)))
(neg.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/4 binary64) (/.f64 (-.f64 #s(literal 0 binary64) (log.f64 (*.f64 f (*.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) #s(literal 0 binary64)) #s(literal 1/2 binary64))))) (PI.f64)))))
(*.f64 (/.f64 (log.f64 (fma.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f) #s(literal 0 binary64))) (fma.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/64 binary64) #s(literal 0 binary64))) (fma.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/16 binary64) #s(literal 0 binary64)))
(/.f64 (*.f64 #s(literal 4 binary64) (log.f64 (/.f64 f (fma.f64 f (fma.f64 f (fma.f64 (PI.f64) #s(literal 1/12 binary64) #s(literal 0 binary64)) #s(literal 0 binary64)) (/.f64 #s(literal 4 binary64) (PI.f64)))))) (PI.f64))
(/.f64 (log.f64 (/.f64 (fma.f64 f (fma.f64 f (fma.f64 (PI.f64) #s(literal 1/12 binary64) #s(literal 0 binary64)) #s(literal 0 binary64)) (/.f64 #s(literal 4 binary64) (PI.f64))) f)) (fma.f64 (PI.f64) #s(literal -1/4 binary64) #s(literal 0 binary64)))
(*.f64 (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64))) (/.f64 (log.f64 (fma.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f) #s(literal 0 binary64))) (sqrt.f64 (PI.f64))))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64))) (/.f64 (log.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 f (PI.f64)))) (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/4 binary64))))
(/.f64 (log.f64 (*.f64 f (*.f64 (*.f64 f f) (*.f64 (PI.f64) (fma.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal -1/192 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 f f))))))) (*.f64 (PI.f64) #s(literal 1/4 binary64)))
(neg.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/4 binary64) (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (PI.f64)) (*.f64 (PI.f64) (log.f64 (*.f64 f (fma.f64 (PI.f64) #s(literal 1/4 binary64) #s(literal 0 binary64)))))) (*.f64 (PI.f64) (PI.f64))))))
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) (*.f64 (/.f64 #s(literal 2 binary64) f) #s(literal 2 binary64)))))))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (sqrt.f64 (PI.f64)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64)))) (log.f64 (*.f64 f (fma.f64 (PI.f64) #s(literal 1/4 binary64) #s(literal 0 binary64)))))
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (log.f64 (*.f64 f (*.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) #s(literal 0 binary64)) #s(literal 1/2 binary64)))))))))
(/.f64 (log.f64 (*.f64 f (fma.f64 (fma.f64 (*.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal -1/32 binary64))) #s(literal -1/8 binary64) (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal -7/768 binary64))) (*.f64 f f) (*.f64 #s(literal 1/4 binary64) (PI.f64))))) (*.f64 (PI.f64) #s(literal 1/4 binary64)))
(neg.f64 (*.f64 (*.f64 (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64)))) (log.f64 (/.f64 #s(literal 2 binary64) (*.f64 f (fma.f64 (PI.f64) #s(literal 1/2 binary64) #s(literal 0 binary64)))))))
(/.f64 (log.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 f (PI.f64)))) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64)))) #s(literal 1/4 binary64)))
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (fma.f64 f (fma.f64 f (fma.f64 (*.f64 (PI.f64) #s(literal 1/48 binary64)) #s(literal -2 binary64) (fma.f64 (PI.f64) #s(literal 1/8 binary64) #s(literal 0 binary64))) #s(literal 0 binary64)) (/.f64 #s(literal 4 binary64) (PI.f64))) f))))
(neg.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (sqrt.f64 (PI.f64)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64)))) (log.f64 (/.f64 (fma.f64 f (fma.f64 f (fma.f64 (*.f64 (PI.f64) #s(literal 1/48 binary64)) #s(literal -2 binary64) (fma.f64 (PI.f64) #s(literal 1/8 binary64) #s(literal 0 binary64))) #s(literal 0 binary64)) (/.f64 #s(literal 4 binary64) (PI.f64))) f))))
(/.f64 (log.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 f (fma.f64 f (fma.f64 #s(literal -16 binary64) (/.f64 (fma.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 #s(literal -1/32 binary64) (PI.f64))) #s(literal -1/8 binary64) (*.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal -7/768 binary64)))) (*.f64 (PI.f64) (PI.f64))) #s(literal 0 binary64)) #s(literal 0 binary64)) (/.f64 #s(literal 4 binary64) (PI.f64))) f))) (*.f64 (PI.f64) #s(literal 1/4 binary64)))
(/.f64 (log.f64 (*.f64 f (fma.f64 (fma.f64 (*.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal -1/32 binary64))) #s(literal -1/8 binary64) (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal -7/768 binary64))) (*.f64 f f) (*.f64 #s(literal 1/4 binary64) (PI.f64))))) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64)))) #s(literal 1/4 binary64)))
(/.f64 (*.f64 #s(literal -4 binary64) (+.f64 (log.f64 f) (log.f64 (*.f64 (PI.f64) #s(literal 1/12 binary64))))) (PI.f64))
(/.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (*.f64 (PI.f64) #s(literal 1/4 binary64)))
(fma.f64 (-.f64 (neg.f64 (log.f64 (fma.f64 #s(literal 1/4 binary64) (PI.f64) #s(literal 0 binary64)))) (log.f64 f)) (/.f64 #s(literal -4 binary64) (PI.f64)) #s(literal 0 binary64))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1/4 binary64) (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))))) (PI.f64)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))))
(neg.f64 (*.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (log.f64 (/.f64 #s(literal 1 binary64) (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))))))
(/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (/.f64 #s(literal 1 binary64) (+.f64 (log.f64 f) (log.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64))))))
(/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (/.f64 #s(literal 1 binary64) (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))))))
(-.f64 (/.f64 (-.f64 #s(literal 0 binary64) (log.f64 f)) (*.f64 (PI.f64) #s(literal -1/4 binary64))) (/.f64 (log.f64 (fma.f64 (PI.f64) #s(literal 1/4 binary64) #s(literal 0 binary64))) (*.f64 (PI.f64) #s(literal -1/4 binary64))))
(-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) (*.f64 (PI.f64) #s(literal -1/4 binary64))) (/.f64 (log.f64 (fma.f64 f (fma.f64 (PI.f64) #s(literal 1/2 binary64) #s(literal 0 binary64)) #s(literal 0 binary64))) (*.f64 (PI.f64) #s(literal -1/4 binary64))))
(/.f64 (log.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (tanh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))))) (*.f64 (PI.f64) #s(literal 1/4 binary64)))
(-.f64 (/.f64 (-.f64 #s(literal 0 binary64) (log.f64 (*.f64 f #s(literal 1/2 binary64)))) (*.f64 (PI.f64) #s(literal -1/4 binary64))) (/.f64 (log.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) #s(literal 0 binary64))) (*.f64 (PI.f64) #s(literal -1/4 binary64))))
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 #s(literal 1 binary64) (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))))))
(neg.f64 (/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))) (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (PI.f64))))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64))) (/.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/4 binary64))))
(/.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64)))) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) #s(literal -1/2 binary64)) (*.f64 (pow.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) #s(literal -1/2 binary64)) (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))))
(-.f64 (/.f64 (log.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))) (*.f64 (PI.f64) #s(literal -1/4 binary64))) (/.f64 (log.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))) (*.f64 (PI.f64) #s(literal -1/4 binary64))))
(*.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (/.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (*.f64 (PI.f64) #s(literal -1/4 binary64))) #s(literal 2 binary64))) (/.f64 (*.f64 (PI.f64) #s(literal -1/4 binary64)) (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (*.f64 (PI.f64) #s(literal -1/4 binary64))) (-.f64 #s(literal 0 binary64) (pow.f64 (/.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (*.f64 (PI.f64) #s(literal -1/4 binary64))) #s(literal 2 binary64)))))
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))))))
(*.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (/.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (*.f64 (PI.f64) #s(literal -1/4 binary64))) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (/.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (*.f64 (PI.f64) #s(literal -1/4 binary64))) #s(literal 2 binary64)) #s(literal 0 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (/.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (*.f64 (PI.f64) #s(literal -1/4 binary64))) #s(literal 2 binary64)) #s(literal 0 binary64)) (-.f64 #s(literal 0 binary64) (pow.f64 (/.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (*.f64 (PI.f64) #s(literal -1/4 binary64))) #s(literal 3 binary64)))))
(neg.f64 (/.f64 (*.f64 (-.f64 (pow.f64 (log.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))) #s(literal 3 binary64)) (pow.f64 (log.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))) #s(literal 3 binary64))) #s(literal 4 binary64)) (*.f64 (+.f64 (pow.f64 (log.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))) #s(literal 2 binary64)) (*.f64 (log.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))) (+.f64 (log.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))) (log.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))))))) (PI.f64))))
Outputs
(/.f64 (log.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (tanh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))))) (*.f64 (PI.f64) #s(literal 1/4 binary64)))
Calls

6 calls:

48.0ms
f
19.0ms
(*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)
16.0ms
(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))))))
16.0ms
(/.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)))))
15.0ms
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))))))
Results
AccuracySegmentsBranch
99.5%1f
99.5%1(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))))))
99.5%1(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))))))
99.5%1(log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))))
99.5%1(/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))))
99.5%1(*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)
Compiler

Compiled 144 to 60 computations (58.3% saved)

regimes119.0ms (0.6%)

Memory
5.3MiB live, 118.5MiB allocated
Counts
44 → 1
Calls
Call 1
Inputs
(*.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (log.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64))))
(/.f64 (log.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 f (PI.f64)))) (*.f64 (PI.f64) #s(literal 1/4 binary64)))
(*.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (log.f64 (*.f64 f (fma.f64 (PI.f64) #s(literal 1/4 binary64) #s(literal 0 binary64)))))
(*.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (log.f64 (*.f64 f (*.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) #s(literal 0 binary64)) #s(literal 1/2 binary64)))))
(/.f64 #s(literal -4 binary64) (/.f64 (-.f64 #s(literal 0 binary64) (PI.f64)) (log.f64 (*.f64 f (fma.f64 (PI.f64) #s(literal 1/4 binary64) #s(literal 0 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) (log.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 f (PI.f64))))))
(neg.f64 (*.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (log.f64 (/.f64 #s(literal 2 binary64) (*.f64 f (fma.f64 (PI.f64) #s(literal 1/2 binary64) #s(literal 0 binary64)))))))
(neg.f64 (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -1/4 binary64) (log.f64 (*.f64 f (fma.f64 (PI.f64) #s(literal 1/4 binary64) #s(literal 0 binary64))))) (PI.f64))))
(*.f64 (/.f64 (log.f64 (fma.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f) #s(literal 0 binary64))) (fma.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/16 binary64) #s(literal 0 binary64))) (fma.f64 (PI.f64) #s(literal 1/4 binary64) #s(literal 0 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/4 binary64) (/.f64 (log.f64 (fma.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f) #s(literal 0 binary64))) (PI.f64))))
(neg.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/4 binary64) (/.f64 (log.f64 (*.f64 f (fma.f64 (PI.f64) #s(literal 1/4 binary64) #s(literal 0 binary64)))) (PI.f64)))))
(/.f64 (log.f64 (*.f64 f (*.f64 (PI.f64) (fma.f64 (*.f64 #s(literal -1/192 binary64) (*.f64 f f)) (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))))) (*.f64 (PI.f64) #s(literal 1/4 binary64)))
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 #s(literal 2 binary64) (*.f64 f (fma.f64 (PI.f64) #s(literal 1/2 binary64) #s(literal 0 binary64)))))))
(/.f64 (log.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 f (PI.f64)))) (*.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))) #s(literal 1/4 binary64)))
(/.f64 (log.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) f) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)))) (*.f64 (PI.f64) #s(literal 1/4 binary64)))
(/.f64 (log.f64 (*.f64 f (fma.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (*.f64 #s(literal -1/192 binary64) (*.f64 f f)) (*.f64 #s(literal 1/4 binary64) (PI.f64))))) (*.f64 (PI.f64) #s(literal 1/4 binary64)))
(neg.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/4 binary64) (/.f64 (-.f64 #s(literal 0 binary64) (log.f64 (*.f64 f (*.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) #s(literal 0 binary64)) #s(literal 1/2 binary64))))) (PI.f64)))))
(*.f64 (/.f64 (log.f64 (fma.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f) #s(literal 0 binary64))) (fma.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/64 binary64) #s(literal 0 binary64))) (fma.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/16 binary64) #s(literal 0 binary64)))
(/.f64 (*.f64 #s(literal 4 binary64) (log.f64 (/.f64 f (fma.f64 f (fma.f64 f (fma.f64 (PI.f64) #s(literal 1/12 binary64) #s(literal 0 binary64)) #s(literal 0 binary64)) (/.f64 #s(literal 4 binary64) (PI.f64)))))) (PI.f64))
(/.f64 (log.f64 (/.f64 (fma.f64 f (fma.f64 f (fma.f64 (PI.f64) #s(literal 1/12 binary64) #s(literal 0 binary64)) #s(literal 0 binary64)) (/.f64 #s(literal 4 binary64) (PI.f64))) f)) (fma.f64 (PI.f64) #s(literal -1/4 binary64) #s(literal 0 binary64)))
(*.f64 (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64))) (/.f64 (log.f64 (fma.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f) #s(literal 0 binary64))) (sqrt.f64 (PI.f64))))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64))) (/.f64 (log.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 f (PI.f64)))) (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/4 binary64))))
(/.f64 (log.f64 (*.f64 f (*.f64 (*.f64 f f) (*.f64 (PI.f64) (fma.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal -1/192 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 f f))))))) (*.f64 (PI.f64) #s(literal 1/4 binary64)))
(neg.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/4 binary64) (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (PI.f64)) (*.f64 (PI.f64) (log.f64 (*.f64 f (fma.f64 (PI.f64) #s(literal 1/4 binary64) #s(literal 0 binary64)))))) (*.f64 (PI.f64) (PI.f64))))))
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) (*.f64 (/.f64 #s(literal 2 binary64) f) #s(literal 2 binary64)))))))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (sqrt.f64 (PI.f64)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64)))) (log.f64 (*.f64 f (fma.f64 (PI.f64) #s(literal 1/4 binary64) #s(literal 0 binary64)))))
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (log.f64 (*.f64 f (*.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) #s(literal 0 binary64)) #s(literal 1/2 binary64)))))))))
(/.f64 (log.f64 (*.f64 f (fma.f64 (fma.f64 (*.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal -1/32 binary64))) #s(literal -1/8 binary64) (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal -7/768 binary64))) (*.f64 f f) (*.f64 #s(literal 1/4 binary64) (PI.f64))))) (*.f64 (PI.f64) #s(literal 1/4 binary64)))
(neg.f64 (*.f64 (*.f64 (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64)))) (log.f64 (/.f64 #s(literal 2 binary64) (*.f64 f (fma.f64 (PI.f64) #s(literal 1/2 binary64) #s(literal 0 binary64)))))))
(/.f64 (log.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 f (PI.f64)))) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64)))) #s(literal 1/4 binary64)))
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (fma.f64 f (fma.f64 f (fma.f64 (*.f64 (PI.f64) #s(literal 1/48 binary64)) #s(literal -2 binary64) (fma.f64 (PI.f64) #s(literal 1/8 binary64) #s(literal 0 binary64))) #s(literal 0 binary64)) (/.f64 #s(literal 4 binary64) (PI.f64))) f))))
(neg.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (sqrt.f64 (PI.f64)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64)))) (log.f64 (/.f64 (fma.f64 f (fma.f64 f (fma.f64 (*.f64 (PI.f64) #s(literal 1/48 binary64)) #s(literal -2 binary64) (fma.f64 (PI.f64) #s(literal 1/8 binary64) #s(literal 0 binary64))) #s(literal 0 binary64)) (/.f64 #s(literal 4 binary64) (PI.f64))) f))))
(/.f64 (log.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 f (fma.f64 f (fma.f64 #s(literal -16 binary64) (/.f64 (fma.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 #s(literal -1/32 binary64) (PI.f64))) #s(literal -1/8 binary64) (*.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal -7/768 binary64)))) (*.f64 (PI.f64) (PI.f64))) #s(literal 0 binary64)) #s(literal 0 binary64)) (/.f64 #s(literal 4 binary64) (PI.f64))) f))) (*.f64 (PI.f64) #s(literal 1/4 binary64)))
(/.f64 (log.f64 (*.f64 f (fma.f64 (fma.f64 (*.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal -1/32 binary64))) #s(literal -1/8 binary64) (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal -7/768 binary64))) (*.f64 f f) (*.f64 #s(literal 1/4 binary64) (PI.f64))))) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64)))) #s(literal 1/4 binary64)))
(/.f64 (*.f64 #s(literal -4 binary64) (+.f64 (log.f64 f) (log.f64 (*.f64 (PI.f64) #s(literal 1/12 binary64))))) (PI.f64))
(/.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (*.f64 (PI.f64) #s(literal 1/4 binary64)))
(fma.f64 (-.f64 (neg.f64 (log.f64 (fma.f64 #s(literal 1/4 binary64) (PI.f64) #s(literal 0 binary64)))) (log.f64 f)) (/.f64 #s(literal -4 binary64) (PI.f64)) #s(literal 0 binary64))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1/4 binary64) (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))))) (PI.f64)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))))
(neg.f64 (*.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (log.f64 (/.f64 #s(literal 1 binary64) (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))))))
(/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (/.f64 #s(literal 1 binary64) (+.f64 (log.f64 f) (log.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64))))))
(/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (/.f64 #s(literal 1 binary64) (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))))))
(-.f64 (/.f64 (-.f64 #s(literal 0 binary64) (log.f64 f)) (*.f64 (PI.f64) #s(literal -1/4 binary64))) (/.f64 (log.f64 (fma.f64 (PI.f64) #s(literal 1/4 binary64) #s(literal 0 binary64))) (*.f64 (PI.f64) #s(literal -1/4 binary64))))
(-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) (*.f64 (PI.f64) #s(literal -1/4 binary64))) (/.f64 (log.f64 (fma.f64 f (fma.f64 (PI.f64) #s(literal 1/2 binary64) #s(literal 0 binary64)) #s(literal 0 binary64))) (*.f64 (PI.f64) #s(literal -1/4 binary64))))
Outputs
(/.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (*.f64 (PI.f64) #s(literal 1/4 binary64)))
Calls

6 calls:

48.0ms
f
26.0ms
(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))))))
14.0ms
(*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)
10.0ms
(/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))))
10.0ms
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))))))
Results
AccuracySegmentsBranch
99.5%1f
99.5%1(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))))))
99.5%1(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))))))
99.5%1(log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))))
99.5%1(/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))))
99.5%1(*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)
Compiler

Compiled 144 to 60 computations (58.3% saved)

regimes65.0ms (0.3%)

Memory
0.5MiB live, 117.1MiB allocated
Counts
35 → 1
Calls
Call 1
Inputs
(*.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (log.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64))))
(/.f64 (log.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 f (PI.f64)))) (*.f64 (PI.f64) #s(literal 1/4 binary64)))
(*.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (log.f64 (*.f64 f (fma.f64 (PI.f64) #s(literal 1/4 binary64) #s(literal 0 binary64)))))
(*.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (log.f64 (*.f64 f (*.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) #s(literal 0 binary64)) #s(literal 1/2 binary64)))))
(/.f64 #s(literal -4 binary64) (/.f64 (-.f64 #s(literal 0 binary64) (PI.f64)) (log.f64 (*.f64 f (fma.f64 (PI.f64) #s(literal 1/4 binary64) #s(literal 0 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) (log.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 f (PI.f64))))))
(neg.f64 (*.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (log.f64 (/.f64 #s(literal 2 binary64) (*.f64 f (fma.f64 (PI.f64) #s(literal 1/2 binary64) #s(literal 0 binary64)))))))
(neg.f64 (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -1/4 binary64) (log.f64 (*.f64 f (fma.f64 (PI.f64) #s(literal 1/4 binary64) #s(literal 0 binary64))))) (PI.f64))))
(*.f64 (/.f64 (log.f64 (fma.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f) #s(literal 0 binary64))) (fma.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/16 binary64) #s(literal 0 binary64))) (fma.f64 (PI.f64) #s(literal 1/4 binary64) #s(literal 0 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/4 binary64) (/.f64 (log.f64 (fma.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f) #s(literal 0 binary64))) (PI.f64))))
(neg.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/4 binary64) (/.f64 (log.f64 (*.f64 f (fma.f64 (PI.f64) #s(literal 1/4 binary64) #s(literal 0 binary64)))) (PI.f64)))))
(/.f64 (log.f64 (*.f64 f (*.f64 (PI.f64) (fma.f64 (*.f64 #s(literal -1/192 binary64) (*.f64 f f)) (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))))) (*.f64 (PI.f64) #s(literal 1/4 binary64)))
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 #s(literal 2 binary64) (*.f64 f (fma.f64 (PI.f64) #s(literal 1/2 binary64) #s(literal 0 binary64)))))))
(/.f64 (log.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 f (PI.f64)))) (*.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))) #s(literal 1/4 binary64)))
(/.f64 (log.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) f) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)))) (*.f64 (PI.f64) #s(literal 1/4 binary64)))
(/.f64 (log.f64 (*.f64 f (fma.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (*.f64 #s(literal -1/192 binary64) (*.f64 f f)) (*.f64 #s(literal 1/4 binary64) (PI.f64))))) (*.f64 (PI.f64) #s(literal 1/4 binary64)))
(neg.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/4 binary64) (/.f64 (-.f64 #s(literal 0 binary64) (log.f64 (*.f64 f (*.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) #s(literal 0 binary64)) #s(literal 1/2 binary64))))) (PI.f64)))))
(*.f64 (/.f64 (log.f64 (fma.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f) #s(literal 0 binary64))) (fma.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/64 binary64) #s(literal 0 binary64))) (fma.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/16 binary64) #s(literal 0 binary64)))
(/.f64 (*.f64 #s(literal 4 binary64) (log.f64 (/.f64 f (fma.f64 f (fma.f64 f (fma.f64 (PI.f64) #s(literal 1/12 binary64) #s(literal 0 binary64)) #s(literal 0 binary64)) (/.f64 #s(literal 4 binary64) (PI.f64)))))) (PI.f64))
(/.f64 (log.f64 (/.f64 (fma.f64 f (fma.f64 f (fma.f64 (PI.f64) #s(literal 1/12 binary64) #s(literal 0 binary64)) #s(literal 0 binary64)) (/.f64 #s(literal 4 binary64) (PI.f64))) f)) (fma.f64 (PI.f64) #s(literal -1/4 binary64) #s(literal 0 binary64)))
(*.f64 (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64))) (/.f64 (log.f64 (fma.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f) #s(literal 0 binary64))) (sqrt.f64 (PI.f64))))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64))) (/.f64 (log.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 f (PI.f64)))) (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/4 binary64))))
(/.f64 (log.f64 (*.f64 f (*.f64 (*.f64 f f) (*.f64 (PI.f64) (fma.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal -1/192 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 f f))))))) (*.f64 (PI.f64) #s(literal 1/4 binary64)))
(neg.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/4 binary64) (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (PI.f64)) (*.f64 (PI.f64) (log.f64 (*.f64 f (fma.f64 (PI.f64) #s(literal 1/4 binary64) #s(literal 0 binary64)))))) (*.f64 (PI.f64) (PI.f64))))))
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) (*.f64 (/.f64 #s(literal 2 binary64) f) #s(literal 2 binary64)))))))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (sqrt.f64 (PI.f64)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64)))) (log.f64 (*.f64 f (fma.f64 (PI.f64) #s(literal 1/4 binary64) #s(literal 0 binary64)))))
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (log.f64 (*.f64 f (*.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) #s(literal 0 binary64)) #s(literal 1/2 binary64)))))))))
(/.f64 (log.f64 (*.f64 f (fma.f64 (fma.f64 (*.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal -1/32 binary64))) #s(literal -1/8 binary64) (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal -7/768 binary64))) (*.f64 f f) (*.f64 #s(literal 1/4 binary64) (PI.f64))))) (*.f64 (PI.f64) #s(literal 1/4 binary64)))
(neg.f64 (*.f64 (*.f64 (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64)))) (log.f64 (/.f64 #s(literal 2 binary64) (*.f64 f (fma.f64 (PI.f64) #s(literal 1/2 binary64) #s(literal 0 binary64)))))))
(/.f64 (log.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 f (PI.f64)))) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64)))) #s(literal 1/4 binary64)))
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (fma.f64 f (fma.f64 f (fma.f64 (*.f64 (PI.f64) #s(literal 1/48 binary64)) #s(literal -2 binary64) (fma.f64 (PI.f64) #s(literal 1/8 binary64) #s(literal 0 binary64))) #s(literal 0 binary64)) (/.f64 #s(literal 4 binary64) (PI.f64))) f))))
(neg.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (sqrt.f64 (PI.f64)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64)))) (log.f64 (/.f64 (fma.f64 f (fma.f64 f (fma.f64 (*.f64 (PI.f64) #s(literal 1/48 binary64)) #s(literal -2 binary64) (fma.f64 (PI.f64) #s(literal 1/8 binary64) #s(literal 0 binary64))) #s(literal 0 binary64)) (/.f64 #s(literal 4 binary64) (PI.f64))) f))))
(/.f64 (log.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 f (fma.f64 f (fma.f64 #s(literal -16 binary64) (/.f64 (fma.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 #s(literal -1/32 binary64) (PI.f64))) #s(literal -1/8 binary64) (*.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal -7/768 binary64)))) (*.f64 (PI.f64) (PI.f64))) #s(literal 0 binary64)) #s(literal 0 binary64)) (/.f64 #s(literal 4 binary64) (PI.f64))) f))) (*.f64 (PI.f64) #s(literal 1/4 binary64)))
(/.f64 (log.f64 (*.f64 f (fma.f64 (fma.f64 (*.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal -1/32 binary64))) #s(literal -1/8 binary64) (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal -7/768 binary64))) (*.f64 f f) (*.f64 #s(literal 1/4 binary64) (PI.f64))))) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64)))) #s(literal 1/4 binary64)))
(/.f64 (*.f64 #s(literal -4 binary64) (+.f64 (log.f64 f) (log.f64 (*.f64 (PI.f64) #s(literal 1/12 binary64))))) (PI.f64))
Outputs
(/.f64 (log.f64 (/.f64 (fma.f64 f (fma.f64 f (fma.f64 (PI.f64) #s(literal 1/12 binary64) #s(literal 0 binary64)) #s(literal 0 binary64)) (/.f64 #s(literal 4 binary64) (PI.f64))) f)) (fma.f64 (PI.f64) #s(literal -1/4 binary64) #s(literal 0 binary64)))
Calls

6 calls:

15.0ms
(*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)
12.0ms
(*.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)))))))
11.0ms
f
8.0ms
(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))))))
8.0ms
(/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))))
Results
AccuracySegmentsBranch
96.7%1f
96.7%1(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))))))
96.7%1(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))))))
96.7%1(log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))))
96.7%1(/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))))
96.7%1(*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)
Compiler

Compiled 144 to 60 computations (58.3% saved)

regimes48.0ms (0.3%)

Memory
20.6MiB live, 101.7MiB allocated
Counts
19 → 1
Calls
Call 1
Inputs
(*.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (log.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64))))
(/.f64 (log.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 f (PI.f64)))) (*.f64 (PI.f64) #s(literal 1/4 binary64)))
(*.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (log.f64 (*.f64 f (fma.f64 (PI.f64) #s(literal 1/4 binary64) #s(literal 0 binary64)))))
(*.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (log.f64 (*.f64 f (*.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) #s(literal 0 binary64)) #s(literal 1/2 binary64)))))
(/.f64 #s(literal -4 binary64) (/.f64 (-.f64 #s(literal 0 binary64) (PI.f64)) (log.f64 (*.f64 f (fma.f64 (PI.f64) #s(literal 1/4 binary64) #s(literal 0 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) (log.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 f (PI.f64))))))
(neg.f64 (*.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (log.f64 (/.f64 #s(literal 2 binary64) (*.f64 f (fma.f64 (PI.f64) #s(literal 1/2 binary64) #s(literal 0 binary64)))))))
(neg.f64 (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -1/4 binary64) (log.f64 (*.f64 f (fma.f64 (PI.f64) #s(literal 1/4 binary64) #s(literal 0 binary64))))) (PI.f64))))
(*.f64 (/.f64 (log.f64 (fma.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f) #s(literal 0 binary64))) (fma.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/16 binary64) #s(literal 0 binary64))) (fma.f64 (PI.f64) #s(literal 1/4 binary64) #s(literal 0 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/4 binary64) (/.f64 (log.f64 (fma.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f) #s(literal 0 binary64))) (PI.f64))))
(neg.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/4 binary64) (/.f64 (log.f64 (*.f64 f (fma.f64 (PI.f64) #s(literal 1/4 binary64) #s(literal 0 binary64)))) (PI.f64)))))
(/.f64 (log.f64 (*.f64 f (*.f64 (PI.f64) (fma.f64 (*.f64 #s(literal -1/192 binary64) (*.f64 f f)) (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))))) (*.f64 (PI.f64) #s(literal 1/4 binary64)))
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 #s(literal 2 binary64) (*.f64 f (fma.f64 (PI.f64) #s(literal 1/2 binary64) #s(literal 0 binary64)))))))
(/.f64 (log.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 f (PI.f64)))) (*.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))) #s(literal 1/4 binary64)))
(/.f64 (log.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) f) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)))) (*.f64 (PI.f64) #s(literal 1/4 binary64)))
(/.f64 (log.f64 (*.f64 f (fma.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (*.f64 #s(literal -1/192 binary64) (*.f64 f f)) (*.f64 #s(literal 1/4 binary64) (PI.f64))))) (*.f64 (PI.f64) #s(literal 1/4 binary64)))
(neg.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/4 binary64) (/.f64 (-.f64 #s(literal 0 binary64) (log.f64 (*.f64 f (*.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) #s(literal 0 binary64)) #s(literal 1/2 binary64))))) (PI.f64)))))
(*.f64 (/.f64 (log.f64 (fma.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f) #s(literal 0 binary64))) (fma.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/64 binary64) #s(literal 0 binary64))) (fma.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/16 binary64) #s(literal 0 binary64)))
(/.f64 (*.f64 #s(literal 4 binary64) (log.f64 (/.f64 f (fma.f64 f (fma.f64 f (fma.f64 (PI.f64) #s(literal 1/12 binary64) #s(literal 0 binary64)) #s(literal 0 binary64)) (/.f64 #s(literal 4 binary64) (PI.f64)))))) (PI.f64))
Outputs
(/.f64 (*.f64 #s(literal 4 binary64) (log.f64 (/.f64 f (fma.f64 f (fma.f64 f (fma.f64 (PI.f64) #s(literal 1/12 binary64) #s(literal 0 binary64)) #s(literal 0 binary64)) (/.f64 #s(literal 4 binary64) (PI.f64)))))) (PI.f64))
Calls

6 calls:

19.0ms
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))))))
6.0ms
(/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))))
6.0ms
(*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)
6.0ms
f
5.0ms
(log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))))
Results
AccuracySegmentsBranch
96.7%1f
96.7%1(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))))))
96.7%1(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))))))
96.7%1(log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))))
96.7%1(/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))))
96.7%1(*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)
Compiler

Compiled 144 to 60 computations (58.3% saved)

regimes33.0ms (0.2%)

Memory
4.2MiB live, 80.0MiB allocated
Counts
18 → 1
Calls
Call 1
Inputs
(*.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (log.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64))))
(/.f64 (log.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 f (PI.f64)))) (*.f64 (PI.f64) #s(literal 1/4 binary64)))
(*.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (log.f64 (*.f64 f (fma.f64 (PI.f64) #s(literal 1/4 binary64) #s(literal 0 binary64)))))
(*.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (log.f64 (*.f64 f (*.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) #s(literal 0 binary64)) #s(literal 1/2 binary64)))))
(/.f64 #s(literal -4 binary64) (/.f64 (-.f64 #s(literal 0 binary64) (PI.f64)) (log.f64 (*.f64 f (fma.f64 (PI.f64) #s(literal 1/4 binary64) #s(literal 0 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) (log.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 f (PI.f64))))))
(neg.f64 (*.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (log.f64 (/.f64 #s(literal 2 binary64) (*.f64 f (fma.f64 (PI.f64) #s(literal 1/2 binary64) #s(literal 0 binary64)))))))
(neg.f64 (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -1/4 binary64) (log.f64 (*.f64 f (fma.f64 (PI.f64) #s(literal 1/4 binary64) #s(literal 0 binary64))))) (PI.f64))))
(*.f64 (/.f64 (log.f64 (fma.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f) #s(literal 0 binary64))) (fma.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/16 binary64) #s(literal 0 binary64))) (fma.f64 (PI.f64) #s(literal 1/4 binary64) #s(literal 0 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/4 binary64) (/.f64 (log.f64 (fma.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f) #s(literal 0 binary64))) (PI.f64))))
(neg.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/4 binary64) (/.f64 (log.f64 (*.f64 f (fma.f64 (PI.f64) #s(literal 1/4 binary64) #s(literal 0 binary64)))) (PI.f64)))))
(/.f64 (log.f64 (*.f64 f (*.f64 (PI.f64) (fma.f64 (*.f64 #s(literal -1/192 binary64) (*.f64 f f)) (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))))) (*.f64 (PI.f64) #s(literal 1/4 binary64)))
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 #s(literal 2 binary64) (*.f64 f (fma.f64 (PI.f64) #s(literal 1/2 binary64) #s(literal 0 binary64)))))))
(/.f64 (log.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 f (PI.f64)))) (*.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))) #s(literal 1/4 binary64)))
(/.f64 (log.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) f) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)))) (*.f64 (PI.f64) #s(literal 1/4 binary64)))
(/.f64 (log.f64 (*.f64 f (fma.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (*.f64 #s(literal -1/192 binary64) (*.f64 f f)) (*.f64 #s(literal 1/4 binary64) (PI.f64))))) (*.f64 (PI.f64) #s(literal 1/4 binary64)))
(neg.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/4 binary64) (/.f64 (-.f64 #s(literal 0 binary64) (log.f64 (*.f64 f (*.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) #s(literal 0 binary64)) #s(literal 1/2 binary64))))) (PI.f64)))))
(*.f64 (/.f64 (log.f64 (fma.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f) #s(literal 0 binary64))) (fma.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/64 binary64) #s(literal 0 binary64))) (fma.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/16 binary64) #s(literal 0 binary64)))
Outputs
(/.f64 (log.f64 (*.f64 f (*.f64 (PI.f64) (fma.f64 (*.f64 #s(literal -1/192 binary64) (*.f64 f f)) (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))))) (*.f64 (PI.f64) #s(literal 1/4 binary64)))
Calls

6 calls:

7.0ms
(*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)
6.0ms
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))))))
5.0ms
f
5.0ms
(/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))))
5.0ms
(log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))))
Results
AccuracySegmentsBranch
96.6%1f
96.6%1(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))))))
96.6%1(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))))))
96.6%1(log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))))
96.6%1(/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))))
96.6%1(*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)
Compiler

Compiled 144 to 60 computations (58.3% saved)

regimes27.0ms (0.1%)

Memory
-23.0MiB live, 55.6MiB allocated
Counts
11 → 1
Calls
Call 1
Inputs
(*.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (log.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64))))
(/.f64 (log.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 f (PI.f64)))) (*.f64 (PI.f64) #s(literal 1/4 binary64)))
(*.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (log.f64 (*.f64 f (fma.f64 (PI.f64) #s(literal 1/4 binary64) #s(literal 0 binary64)))))
(*.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (log.f64 (*.f64 f (*.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) #s(literal 0 binary64)) #s(literal 1/2 binary64)))))
(/.f64 #s(literal -4 binary64) (/.f64 (-.f64 #s(literal 0 binary64) (PI.f64)) (log.f64 (*.f64 f (fma.f64 (PI.f64) #s(literal 1/4 binary64) #s(literal 0 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) (log.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 f (PI.f64))))))
(neg.f64 (*.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (log.f64 (/.f64 #s(literal 2 binary64) (*.f64 f (fma.f64 (PI.f64) #s(literal 1/2 binary64) #s(literal 0 binary64)))))))
(neg.f64 (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -1/4 binary64) (log.f64 (*.f64 f (fma.f64 (PI.f64) #s(literal 1/4 binary64) #s(literal 0 binary64))))) (PI.f64))))
(*.f64 (/.f64 (log.f64 (fma.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f) #s(literal 0 binary64))) (fma.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/16 binary64) #s(literal 0 binary64))) (fma.f64 (PI.f64) #s(literal 1/4 binary64) #s(literal 0 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/4 binary64) (/.f64 (log.f64 (fma.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f) #s(literal 0 binary64))) (PI.f64))))
(neg.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/4 binary64) (/.f64 (log.f64 (*.f64 f (fma.f64 (PI.f64) #s(literal 1/4 binary64) #s(literal 0 binary64)))) (PI.f64)))))
Outputs
(/.f64 (log.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 f (PI.f64)))) (*.f64 (PI.f64) #s(literal 1/4 binary64)))
Calls

6 calls:

7.0ms
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))))))
6.0ms
(*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)
4.0ms
f
3.0ms
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))))))
3.0ms
(/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))))
Results
AccuracySegmentsBranch
96.0%1f
96.0%1(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))))))
96.0%1(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))))))
96.0%1(log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))))
96.0%1(/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))))
96.0%1(*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)
Compiler

Compiled 144 to 60 computations (58.3% saved)

regimes8.0ms (0%)

Memory
26.4MiB live, 26.4MiB allocated
Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

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

6 calls:

1.0ms
(*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)
1.0ms
f
1.0ms
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))))))
1.0ms
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))))))
1.0ms
(log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))))
Results
AccuracySegmentsBranch
95.9%1(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))))))
95.9%1(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))))))
95.9%1(log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))))
95.9%1(/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))))
95.9%1f
95.9%1(*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)
Compiler

Compiled 144 to 60 computations (58.3% saved)

simplify10.0ms (0%)

Memory
-13.1MiB live, 25.7MiB allocated
Algorithm
1×egg-herbie
Rules
22×*-commutative_binary64
2×1-exp_binary64
2×1-exp_binary32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
049104
162104
Stop Event
1×saturated
Calls
Call 1
Inputs
(/.f64 (log.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (tanh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))))) (*.f64 (PI.f64) #s(literal 1/4 binary64)))
(/.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (*.f64 (PI.f64) #s(literal 1/4 binary64)))
(/.f64 (log.f64 (/.f64 (fma.f64 f (fma.f64 f (fma.f64 (PI.f64) #s(literal 1/12 binary64) #s(literal 0 binary64)) #s(literal 0 binary64)) (/.f64 #s(literal 4 binary64) (PI.f64))) f)) (fma.f64 (PI.f64) #s(literal -1/4 binary64) #s(literal 0 binary64)))
(/.f64 (*.f64 #s(literal 4 binary64) (log.f64 (/.f64 f (fma.f64 f (fma.f64 f (fma.f64 (PI.f64) #s(literal 1/12 binary64) #s(literal 0 binary64)) #s(literal 0 binary64)) (/.f64 #s(literal 4 binary64) (PI.f64)))))) (PI.f64))
(/.f64 (log.f64 (*.f64 f (*.f64 (PI.f64) (fma.f64 (*.f64 #s(literal -1/192 binary64) (*.f64 f f)) (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))))) (*.f64 (PI.f64) #s(literal 1/4 binary64)))
(/.f64 (log.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 f (PI.f64)))) (*.f64 (PI.f64) #s(literal 1/4 binary64)))
(*.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (log.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64))))
Outputs
(/.f64 (log.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (tanh.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f)))))) (*.f64 (PI.f64) #s(literal 1/4 binary64)))
(/.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (*.f64 (PI.f64) #s(literal 1/4 binary64)))
(/.f64 (log.f64 (tanh.f64 (*.f64 f (*.f64 (PI.f64) #s(literal 1/4 binary64))))) (*.f64 (PI.f64) #s(literal 1/4 binary64)))
(/.f64 (log.f64 (/.f64 (fma.f64 f (fma.f64 f (fma.f64 (PI.f64) #s(literal 1/12 binary64) #s(literal 0 binary64)) #s(literal 0 binary64)) (/.f64 #s(literal 4 binary64) (PI.f64))) f)) (fma.f64 (PI.f64) #s(literal -1/4 binary64) #s(literal 0 binary64)))
(/.f64 (*.f64 #s(literal 4 binary64) (log.f64 (/.f64 f (fma.f64 f (fma.f64 f (fma.f64 (PI.f64) #s(literal 1/12 binary64) #s(literal 0 binary64)) #s(literal 0 binary64)) (/.f64 #s(literal 4 binary64) (PI.f64)))))) (PI.f64))
(/.f64 (log.f64 (*.f64 f (*.f64 (PI.f64) (fma.f64 (*.f64 #s(literal -1/192 binary64) (*.f64 f f)) (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))))) (*.f64 (PI.f64) #s(literal 1/4 binary64)))
(/.f64 (log.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 f (PI.f64)))) (*.f64 (PI.f64) #s(literal 1/4 binary64)))
(/.f64 (log.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f))) (*.f64 (PI.f64) #s(literal 1/4 binary64)))
(*.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (log.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64))))
(*.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (log.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f))))

soundness1.3s (6.9%)

Memory
-31.5MiB live, 1 190.8MiB allocated
Rules
18 550×accelerator-lowering-fma.f32
18 550×accelerator-lowering-fma.f64
12 548×accelerator-lowering-fma.f32
12 548×accelerator-lowering-fma.f64
9 150×accelerator-lowering-fma.f32
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
03735525
111494902
248284274
084244139
03398274
111446982
250845701
088645520
050241
1293223
22159223
08641216
036198
1219190
21681189
08456189
01687
110649
276449
0854149
04184803
112644198
248153609
091073495
054221
1332199
23088199
08421194
01711490
14841364
217481236
370341196
091621178
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
1×iter limit
1×node limit
Compiler

Compiled 183 to 105 computations (42.6% saved)

preprocess116.0ms (0.6%)

Memory
-3.9MiB live, 194.6MiB allocated
Compiler

Compiled 286 to 124 computations (56.6% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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