normal distribution

Time bar (total: 9.6s)

analyze23.0ms (0.2%)

Memory
-9.1MiB live, 29.3MiB allocated
Algorithm
1×search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%6.2%93.8%0%0%0%0
0%0%6.2%93.8%0%0%0%1
50%3.1%3.1%93.8%0%0%0%2
50%3.1%3.1%93.8%0%0%0%3
75%4.7%1.6%93.8%0%0%0%4
75%4.7%1.6%93.8%0%0%0%5
87.5%5.5%0.8%93.8%0%0%0%6
87.5%5.5%0.8%93.8%0%0%0%7
93.8%5.8%0.4%93.8%0%0%0%8
93.8%5.8%0.4%93.8%0%0%0%9
96.9%6%0.2%93.8%0%0%0%10
96.9%6%0.2%93.8%0%0%0%11
98.4%6.1%0.1%93.8%0%0%0%12
Compiler

Compiled 35 to 27 computations (22.9% saved)

sample1.9s (20%)

Memory
78.8MiB live, 1 816.2MiB allocated
Samples
1.5s8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 1.0s
ival-mult: 387.0ms (37.1% of total)
ival-pi: 145.0ms (13.9% of total)
ival-log: 114.0ms (10.9% of total)
ival-div: 111.0ms (10.6% of total)
ival-<=: 80.0ms (7.7% of total)
ival-cos: 61.0ms (5.8% of total)
ival-sqrt: 57.0ms (5.5% of total)
ival-add: 40.0ms (3.8% of total)
exact: 24.0ms (2.3% of total)
ival-and: 21.0ms (2% of total)
ival-assert: 3.0ms (0.3% of total)
Bogosity

preprocess27.0ms (0.3%)

Memory
-11.3MiB live, 27.0MiB allocated
Algorithm
1×egg-herbie
Rules
118×sub-neg
110×associate-*l*
92×*-commutative
86×associate-*r*
82×distribute-lft-in
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03986
18882
219482
337482
444082
550382
658582
762682
868282
970482
1070482
01916
13216
24616
35016
05015
Stop Event
1×iter limit
1×saturated
1×saturated
Calls
Call 1
Inputs
(+ (* (* (/ 1 6) (pow (* -2 (log u1)) 1/2)) (cos (* (* 2 (PI)) u2))) 1/2)
Outputs
(+ (* (* (/ 1 6) (pow (* -2 (log u1)) 1/2)) (cos (* (* 2 (PI)) u2))) 1/2)
(fma.f64 #s(literal 1/6 binary64) (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))) #s(literal 1/2 binary64))
Symmetry

(abs u2)

explain194.0ms (2%)

Memory
7.4MiB live, 257.7MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
00-0-(cos.f64 (*.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) u2))
00-0-(*.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) u2)
00-0-#s(literal 1 binary64)
00-0-(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/2 binary64)))
00-0-u1
00-0-(+.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/2 binary64))) (cos.f64 (*.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) u2))) #s(literal 1/2 binary64))
00-0-#s(literal 1/2 binary64)
00-0-(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/2 binary64))) (cos.f64 (*.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) u2)))
00-0-(PI.f64)
00-0-u2
00-0-(*.f64 #s(literal -2 binary64) (log.f64 u1))
00-0-#s(literal 6 binary64)
00-0-(/.f64 #s(literal 1 binary64) #s(literal 6 binary64))
00-0-#s(literal 2 binary64)
00-0-#s(literal -2 binary64)
00-0-(log.f64 u1)
00-0-(*.f64 #s(literal 2 binary64) (PI.f64))
00-0-(pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/2 binary64))
Confusion
Predicted +Predicted -
+00
-0256
Precision
0/0
Recall
0/0
Confusion?
Predicted +Predicted MaybePredicted -
+000
-00256
Precision?
0/0
Recall?
0/0
Freqs
test
numberfreq
0256
Total Confusion?
Predicted +Predicted MaybePredicted -
+000
-001
Precision?
0/0
Recall?
0/0
Samples
61.0ms512×0valid
Compiler

Compiled 212 to 76 computations (64.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 39.0ms
ival-mult: 15.0ms (38% of total)
ival-log: 7.0ms (17.7% of total)
ival-div: 4.0ms (10.1% of total)
ival-cos: 4.0ms (10.1% of total)
ival-sqrt: 3.0ms (7.6% of total)
ival-pi: 2.0ms (5.1% of total)
ival-add: 2.0ms (5.1% of total)
exact: 1.0ms (2.5% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

eval0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated
Compiler

Compiled 2 to 2 computations (0% saved)

prune1.0ms (0%)

Memory
1.6MiB live, 1.6MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶99.3%
(+.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/2 binary64))) (cos.f64 (*.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) u2))) #s(literal 1/2 binary64))
Compiler

Compiled 21 to 18 computations (14.3% saved)

simplify5.0ms (0%)

Memory
8.2MiB live, 8.2MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/2 binary64))) (cos.f64 (*.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) u2)))
✓cost-diff128
(+.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/2 binary64))) (cos.f64 (*.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) u2))) #s(literal 1/2 binary64))
✓cost-diff704
(/.f64 #s(literal 1 binary64) #s(literal 6 binary64))
✓cost-diff5824
(pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/2 binary64))
Rules
52×*-lowering-*.f32
52×*-lowering-*.f64
22×*-commutative
12×associate-*r*
12×accelerator-lowering-fma.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01971
13271
24671
35071
05070
Stop Event
1×iter limit
1×saturated
Calls
Call 1
Inputs
(+ (* (* (/ 1 6) (pow (* -2 (log u1)) 1/2)) (cos (* (* 2 (PI)) u2))) 1/2)
(* (* (/ 1 6) (pow (* -2 (log u1)) 1/2)) (cos (* (* 2 (PI)) u2)))
(* (/ 1 6) (pow (* -2 (log u1)) 1/2))
(/ 1 6)
1
6
(pow (* -2 (log u1)) 1/2)
(* -2 (log u1))
-2
(log u1)
u1
1/2
(cos (* (* 2 (PI)) u2))
(* (* 2 (PI)) u2)
(* 2 (PI))
2
(PI)
u2
Outputs
(+ (* (* (/ 1 6) (pow (* -2 (log u1)) 1/2)) (cos (* (* 2 (PI)) u2))) 1/2)
(fma.f64 #s(literal 1/6 binary64) (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))) #s(literal 1/2 binary64))
(* (* (/ 1 6) (pow (* -2 (log u1)) 1/2)) (cos (* (* 2 (PI)) u2)))
(*.f64 #s(literal 1/6 binary64) (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))))
(* (/ 1 6) (pow (* -2 (log u1)) 1/2))
(*.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))))
(/ 1 6)
#s(literal 1/6 binary64)
1
#s(literal 1 binary64)
6
#s(literal 6 binary64)
(pow (* -2 (log u1)) 1/2)
(sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)))
(* -2 (log u1))
(*.f64 #s(literal -2 binary64) (log.f64 u1))
-2
#s(literal -2 binary64)
(log u1)
(log.f64 u1)
u1
1/2
#s(literal 1/2 binary64)
(cos (* (* 2 (PI)) u2))
(cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))
(* (* 2 (PI)) u2)
(*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))
(* 2 (PI))
(*.f64 #s(literal 2 binary64) (PI.f64))
2
#s(literal 2 binary64)
(PI)
(PI.f64)
u2

localize56.0ms (0.6%)

Memory
-33.7MiB live, 84.2MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
✓accuracy99.9%
(+.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/2 binary64))) (cos.f64 (*.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) u2))) #s(literal 1/2 binary64))
✓accuracy99.8%
(pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/2 binary64))
✓accuracy99.7%
(*.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) u2)
✓accuracy99.4%
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/2 binary64)))
Samples
31.0ms256×0valid
Compiler

Compiled 85 to 20 computations (76.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 19.0ms
ival-mult: 7.0ms (36.3% of total)
ival-log: 3.0ms (15.6% of total)
ival-div: 2.0ms (10.4% of total)
ival-cos: 2.0ms (10.4% of total)
ival-sqrt: 2.0ms (10.4% of total)
ival-pi: 1.0ms (5.2% of total)
ival-add: 1.0ms (5.2% of total)
exact: 1.0ms (5.2% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series79.0ms (0.8%)

Memory
6.2MiB live, 118.1MiB allocated
Counts
6 → 84
Calls
Call 1
Inputs
#<alt (pow (* -2 (log u1)) 1/2)>
#<alt (/ 1 6)>
#<alt (+ (* (* (/ 1 6) (pow (* -2 (log u1)) 1/2)) (cos (* (* 2 (PI)) u2))) 1/2)>
#<alt (* (* (/ 1 6) (pow (* -2 (log u1)) 1/2)) (cos (* (* 2 (PI)) u2)))>
#<alt (* (/ 1 6) (pow (* -2 (log u1)) 1/2))>
#<alt (* (* 2 (PI)) u2)>
Outputs
#<alt (* (sqrt (log u1)) (sqrt -2))>
#<alt (* (sqrt (log u1)) (sqrt -2))>
#<alt (* (sqrt (log u1)) (sqrt -2))>
#<alt (* (sqrt (log u1)) (sqrt -2))>
#<alt (* (sqrt (log (/ 1 u1))) (sqrt 2))>
#<alt (* (sqrt (log (/ 1 u1))) (sqrt 2))>
#<alt (* (sqrt (log (/ 1 u1))) (sqrt 2))>
#<alt (* (sqrt (log (/ 1 u1))) (sqrt 2))>
#<alt (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))>
#<alt (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))>
#<alt (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))>
#<alt (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))>
#<alt (+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))))>
#<alt (+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))))>
#<alt (+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))))>
#<alt (+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))))>
#<alt (+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -2) (sqrt -1))) (sqrt (log (/ 1 u1))))))>
#<alt (+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -2) (sqrt -1))) (sqrt (log (/ 1 u1))))))>
#<alt (+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -2) (sqrt -1))) (sqrt (log (/ 1 u1))))))>
#<alt (+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -2) (sqrt -1))) (sqrt (log (/ 1 u1))))))>
#<alt (+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))))>
#<alt (+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))))>
#<alt (+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))))>
#<alt (+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))))>
#<alt (+ 1/2 (* 1/6 (* (sqrt (log u1)) (sqrt -2))))>
#<alt (+ 1/2 (+ (* -1/3 (* (* (pow u2 2) (* (pow (PI) 2) (sqrt -2))) (sqrt (log u1)))) (* 1/6 (* (sqrt (log u1)) (sqrt -2)))))>
#<alt (+ 1/2 (+ (* 1/6 (* (sqrt (log u1)) (sqrt -2))) (* (pow u2 2) (+ (* -1/3 (* (* (pow (PI) 2) (sqrt -2)) (sqrt (log u1)))) (* 1/9 (* (* (pow u2 2) (* (pow (PI) 4) (sqrt -2))) (sqrt (log u1))))))))>
#<alt (+ 1/2 (+ (* 1/6 (* (sqrt (log u1)) (sqrt -2))) (* (pow u2 2) (+ (* -1/3 (* (* (pow (PI) 2) (sqrt -2)) (sqrt (log u1)))) (* (pow u2 2) (+ (* -2/135 (* (* (pow u2 2) (* (pow (PI) 6) (sqrt -2))) (sqrt (log u1)))) (* 1/9 (* (* (pow (PI) 4) (sqrt -2)) (sqrt (log u1))))))))))>
#<alt (+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))))>
#<alt (+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))))>
#<alt (+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))))>
#<alt (+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))))>
#<alt (+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))))>
#<alt (+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))))>
#<alt (+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))))>
#<alt (+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))))>
#<alt (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1))))>
#<alt (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1))))>
#<alt (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1))))>
#<alt (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1))))>
#<alt (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -2) (sqrt -1))) (sqrt (log (/ 1 u1)))))>
#<alt (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -2) (sqrt -1))) (sqrt (log (/ 1 u1)))))>
#<alt (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -2) (sqrt -1))) (sqrt (log (/ 1 u1)))))>
#<alt (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -2) (sqrt -1))) (sqrt (log (/ 1 u1)))))>
#<alt (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))))>
#<alt (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))))>
#<alt (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))))>
#<alt (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))))>
#<alt (* 1/6 (* (sqrt (log u1)) (sqrt -2)))>
#<alt (+ (* -1/3 (* (* (pow u2 2) (* (pow (PI) 2) (sqrt -2))) (sqrt (log u1)))) (* 1/6 (* (sqrt (log u1)) (sqrt -2))))>
#<alt (+ (* 1/6 (* (sqrt (log u1)) (sqrt -2))) (* (pow u2 2) (+ (* -1/3 (* (* (pow (PI) 2) (sqrt -2)) (sqrt (log u1)))) (* 1/9 (* (* (pow u2 2) (* (pow (PI) 4) (sqrt -2))) (sqrt (log u1)))))))>
#<alt (+ (* 1/6 (* (sqrt (log u1)) (sqrt -2))) (* (pow u2 2) (+ (* -1/3 (* (* (pow (PI) 2) (sqrt -2)) (sqrt (log u1)))) (* (pow u2 2) (+ (* -2/135 (* (* (pow u2 2) (* (pow (PI) 6) (sqrt -2))) (sqrt (log u1)))) (* 1/9 (* (* (pow (PI) 4) (sqrt -2)) (sqrt (log u1)))))))))>
#<alt (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1))))>
#<alt (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1))))>
#<alt (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1))))>
#<alt (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1))))>
#<alt (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1))))>
#<alt (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1))))>
#<alt (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1))))>
#<alt (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1))))>
#<alt (* 1/6 (* (sqrt (log u1)) (sqrt -2)))>
#<alt (* 1/6 (* (sqrt (log u1)) (sqrt -2)))>
#<alt (* 1/6 (* (sqrt (log u1)) (sqrt -2)))>
#<alt (* 1/6 (* (sqrt (log u1)) (sqrt -2)))>
#<alt (* 1/6 (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1))))>
#<alt (* 1/6 (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1))))>
#<alt (* 1/6 (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1))))>
#<alt (* 1/6 (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1))))>
#<alt (* 1/6 (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))))>
#<alt (* 1/6 (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))))>
#<alt (* 1/6 (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))))>
#<alt (* 1/6 (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))))>
#<alt (* 2 (* u2 (PI)))>
#<alt (* 2 (* u2 (PI)))>
#<alt (* 2 (* u2 (PI)))>
#<alt (* 2 (* u2 (PI)))>
#<alt (* 2 (* u2 (PI)))>
#<alt (* 2 (* u2 (PI)))>
#<alt (* 2 (* u2 (PI)))>
#<alt (* 2 (* u2 (PI)))>
#<alt (* 2 (* u2 (PI)))>
#<alt (* 2 (* u2 (PI)))>
#<alt (* 2 (* u2 (PI)))>
#<alt (* 2 (* u2 (PI)))>
Calls

21 calls:

TimeVariablePointExpression
26.0ms
u1
@0
(pow (* -2 (log u1)) 1/2)
20.0ms
u1
@-inf
(pow (* -2 (log u1)) 1/2)
12.0ms
u2
@inf
(+ (* (* (/ 1 6) (pow (* -2 (log u1)) 1/2)) (cos (* (* 2 (PI)) u2))) 1/2)
7.0ms
u1
@inf
(pow (* -2 (log u1)) 1/2)
3.0ms
u2
@inf
(* (* 2 (PI)) u2)

rewrite174.0ms (1.8%)

Memory
18.3MiB live, 254.6MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
2 664×accelerator-lowering-fma.f32
2 664×accelerator-lowering-fma.f64
2 636×*-lowering-*.f32
2 636×*-lowering-*.f64
550×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01948
17048
236148
0283247
Stop Event
1×iter limit
1×iter limit
1×node limit
Counts
6 → 176
Calls
Call 1
Inputs
(pow (* -2 (log u1)) 1/2)
(/ 1 6)
(+ (* (* (/ 1 6) (pow (* -2 (log u1)) 1/2)) (cos (* (* 2 (PI)) u2))) 1/2)
(* (* (/ 1 6) (pow (* -2 (log u1)) 1/2)) (cos (* (* 2 (PI)) u2)))
(* (/ 1 6) (pow (* -2 (log u1)) 1/2))
(* (* 2 (PI)) u2)
Outputs
(exp.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)))))
(exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/4 binary64))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 2 binary64))) #s(literal 1/4 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal 1/4 binary64)) #s(literal 2 binary64)))
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(*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal 1/6 binary64))
(*.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))))
(*.f64 (sqrt.f64 #s(literal -2 binary64)) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (log.f64 u1))))
(*.f64 (sqrt.f64 (log.f64 u1)) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -2 binary64))))
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(*.f64 (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/8 binary64)) (*.f64 (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/8 binary64)) (*.f64 #s(literal 1/6 binary64) (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/4 binary64)))))
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(*.f64 (*.f64 u2 (*.f64 #s(literal 2 binary64) (pow.f64 (PI.f64) #s(literal 2/3 binary64)))) (cbrt.f64 (PI.f64)))
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(*.f64 (*.f64 (*.f64 #s(literal 2 binary64) u2) #s(literal 1 binary64)) (PI.f64))
(*.f64 (*.f64 (*.f64 #s(literal 2 binary64) u2) (cbrt.f64 (PI.f64))) (pow.f64 (PI.f64) #s(literal 2/3 binary64)))
(*.f64 (*.f64 (*.f64 #s(literal 2 binary64) u2) (pow.f64 (PI.f64) #s(literal 2/3 binary64))) (cbrt.f64 (PI.f64)))
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simplify109.0ms (1.1%)

Memory
15.5MiB live, 54.2MiB allocated
Algorithm
1×egg-herbie
Rules
2×1-exp
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04125065
14145065
04145065
Stop Event
1×saturated
1×saturated
Counts
176 → 176
Calls
Call 1
Inputs
(exp.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)))))
(exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/4 binary64))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 2 binary64))) #s(literal 1/4 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal 1/4 binary64)) #s(literal 2 binary64)))
(exp.f64 (fma.f64 (log.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal 1/4 binary64) (*.f64 (log.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal 1/4 binary64))))
(sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)))
(pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 2 binary64)) #s(literal 1/4 binary64))
(pow.f64 (exp.f64 #s(literal 1/2 binary64)) (log.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))))
(*.f64 (sqrt.f64 #s(literal -2 binary64)) (sqrt.f64 (log.f64 u1)))
(*.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 #s(literal -2 binary64)))
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(*.f64 (/.f64 (fma.f64 #s(literal 1/36 binary64) (pow.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))) #s(literal 2 binary64)) #s(literal -1/4 binary64)) (fma.f64 #s(literal 1/216 binary64) (pow.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))) #s(literal 3 binary64)) #s(literal -1/8 binary64))) (fma.f64 #s(literal 1/36 binary64) (pow.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))) #s(literal 2 binary64)) (fma.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))) (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal 1/12 binary64)) #s(literal 1/4 binary64))))
(*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))))
(*.f64 #s(literal 1/6 binary64) (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))))
(*.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal 1/6 binary64)) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))))
(*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))) (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal 1/6 binary64)))
(*.f64 (sqrt.f64 #s(literal -2 binary64)) (*.f64 (sqrt.f64 (log.f64 u1)) (*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))))))
(*.f64 (sqrt.f64 #s(literal -2 binary64)) (*.f64 (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (log.f64 u1))) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))))
(*.f64 (sqrt.f64 #s(literal -2 binary64)) (*.f64 (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))) (sqrt.f64 (log.f64 u1))) #s(literal 1/6 binary64)))
(*.f64 (sqrt.f64 (log.f64 u1)) (*.f64 (sqrt.f64 #s(literal -2 binary64)) (*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))))))
(*.f64 (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/4 binary64)) (*.f64 (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/4 binary64)) (*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))))))
(*.f64 (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/4 binary64)) (*.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/4 binary64))) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))))
(*.f64 (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/4 binary64)) (*.f64 (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))) (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/4 binary64))) #s(literal 1/6 binary64)))
(*.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))) #s(literal 1/6 binary64))
(*.f64 (*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))))
(*.f64 (*.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -2 binary64))) (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))) (sqrt.f64 (log.f64 u1))))
(*.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/4 binary64))) (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))) (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/4 binary64))))
(*.f64 (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))) (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/4 binary64))) (*.f64 #s(literal 1/6 binary64) (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/4 binary64))))
(*.f64 (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))) (sqrt.f64 #s(literal -2 binary64))) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (log.f64 u1))))
(*.f64 (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -2 binary64)))) (sqrt.f64 (log.f64 u1)))
(*.f64 (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))) (*.f64 #s(literal 1/6 binary64) (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/4 binary64)))) (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/4 binary64)))
(*.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))) (sqrt.f64 #s(literal -2 binary64))) (sqrt.f64 (log.f64 u1)))
(*.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))) (sqrt.f64 (log.f64 u1))) (sqrt.f64 #s(literal -2 binary64)))
(*.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))) (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/4 binary64))) (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/4 binary64)))
(*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal 1/6 binary64))
(*.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))))
(*.f64 (sqrt.f64 #s(literal -2 binary64)) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (log.f64 u1))))
(*.f64 (sqrt.f64 (log.f64 u1)) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -2 binary64))))
(*.f64 (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/4 binary64)) (*.f64 #s(literal 1/6 binary64) (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/4 binary64))))
(*.f64 (pow.f64 #s(literal -2 binary64) #s(literal 1/4 binary64)) (*.f64 (pow.f64 #s(literal -2 binary64) #s(literal 1/4 binary64)) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (log.f64 u1)))))
(*.f64 (pow.f64 #s(literal -2 binary64) #s(literal 1/4 binary64)) (*.f64 (pow.f64 (log.f64 u1) #s(literal 1/4 binary64)) (*.f64 #s(literal 1/6 binary64) (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/4 binary64)))))
(*.f64 (pow.f64 (log.f64 u1) #s(literal 1/4 binary64)) (*.f64 (pow.f64 #s(literal -2 binary64) #s(literal 1/4 binary64)) (*.f64 #s(literal 1/6 binary64) (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/4 binary64)))))
(*.f64 (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/8 binary64)) (*.f64 (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/8 binary64)) (*.f64 #s(literal 1/6 binary64) (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/4 binary64)))))
(*.f64 (*.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -2 binary64))) (sqrt.f64 (log.f64 u1)))
(*.f64 (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (log.f64 u1))) (sqrt.f64 #s(literal -2 binary64)))
(*.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/4 binary64))) (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/4 binary64)))
(*.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -2 binary64))) (pow.f64 (log.f64 u1) #s(literal 1/4 binary64))) (pow.f64 (log.f64 u1) #s(literal 1/4 binary64)))
(*.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/4 binary64))) (pow.f64 #s(literal -2 binary64) #s(literal 1/4 binary64))) (pow.f64 (log.f64 u1) #s(literal 1/4 binary64)))
(*.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/4 binary64))) (pow.f64 (log.f64 u1) #s(literal 1/4 binary64))) (pow.f64 #s(literal -2 binary64) #s(literal 1/4 binary64)))
(*.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/4 binary64))) (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/8 binary64))) (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/8 binary64)))
(*.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))
(*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))
(*.f64 (PI.f64) (*.f64 #s(literal 2 binary64) u2))
(*.f64 (PI.f64) (*.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) u2)))
(*.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) u2)
(*.f64 u2 (*.f64 #s(literal 2 binary64) (PI.f64)))
(*.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (PI.f64)) (*.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (*.f64 #s(literal 2 binary64) u2)))
(*.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (*.f64 (cbrt.f64 (PI.f64)) (*.f64 #s(literal 2 binary64) u2)))
(*.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (*.f64 (*.f64 #s(literal 2 binary64) (cbrt.f64 (PI.f64))) u2))
(*.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (*.f64 (*.f64 u2 (cbrt.f64 (PI.f64))) #s(literal 2 binary64)))
(*.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) (*.f64 #s(literal 2 binary64) u2)))
(*.f64 (sqrt.f64 (PI.f64)) (*.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (PI.f64))) u2))
(*.f64 (sqrt.f64 (PI.f64)) (*.f64 (*.f64 u2 (sqrt.f64 (PI.f64))) #s(literal 2 binary64)))
(*.f64 (*.f64 (PI.f64) u2) #s(literal 2 binary64))
(*.f64 (*.f64 #s(literal 2 binary64) (pow.f64 (PI.f64) #s(literal 2/3 binary64))) (*.f64 u2 (cbrt.f64 (PI.f64))))
(*.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (PI.f64))) (*.f64 u2 (sqrt.f64 (PI.f64))))
(*.f64 (*.f64 #s(literal 2 binary64) u2) (PI.f64))
(*.f64 (*.f64 u2 (sqrt.f64 (PI.f64))) (*.f64 #s(literal 2 binary64) (sqrt.f64 (PI.f64))))
(*.f64 (*.f64 u2 #s(literal 1 binary64)) (*.f64 #s(literal 2 binary64) (PI.f64)))
(*.f64 (*.f64 u2 (pow.f64 (PI.f64) #s(literal 2/3 binary64))) (*.f64 #s(literal 2 binary64) (cbrt.f64 (PI.f64))))
(*.f64 (*.f64 u2 (*.f64 #s(literal 2 binary64) (pow.f64 (PI.f64) #s(literal 2/3 binary64)))) (cbrt.f64 (PI.f64)))
(*.f64 (*.f64 u2 (*.f64 #s(literal 2 binary64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (PI.f64)))
(*.f64 (*.f64 (*.f64 #s(literal 2 binary64) u2) #s(literal 1 binary64)) (PI.f64))
(*.f64 (*.f64 (*.f64 #s(literal 2 binary64) u2) (cbrt.f64 (PI.f64))) (pow.f64 (PI.f64) #s(literal 2/3 binary64)))
(*.f64 (*.f64 (*.f64 #s(literal 2 binary64) u2) (pow.f64 (PI.f64) #s(literal 2/3 binary64))) (cbrt.f64 (PI.f64)))
(*.f64 (*.f64 (*.f64 #s(literal 2 binary64) u2) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)))
Outputs
(exp.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)))))
(exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/4 binary64))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 2 binary64))) #s(literal 1/4 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal 1/4 binary64)) #s(literal 2 binary64)))
(exp.f64 (fma.f64 (log.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal 1/4 binary64) (*.f64 (log.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal 1/4 binary64))))
(sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)))
(pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 2 binary64)) #s(literal 1/4 binary64))
(pow.f64 (exp.f64 #s(literal 1/2 binary64)) (log.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))))
(*.f64 (sqrt.f64 #s(literal -2 binary64)) (sqrt.f64 (log.f64 u1)))
(*.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 #s(literal -2 binary64)))
(*.f64 (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/4 binary64)) (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 #s(literal -2 binary64) #s(literal 1/4 binary64)) (*.f64 (pow.f64 #s(literal -2 binary64) #s(literal 1/4 binary64)) (sqrt.f64 (log.f64 u1))))
(*.f64 (pow.f64 #s(literal -2 binary64) #s(literal 1/4 binary64)) (*.f64 (pow.f64 (log.f64 u1) #s(literal 1/4 binary64)) (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/4 binary64))))
(*.f64 (pow.f64 (log.f64 u1) #s(literal 1/4 binary64)) (*.f64 (pow.f64 (log.f64 u1) #s(literal 1/4 binary64)) (sqrt.f64 #s(literal -2 binary64))))
(*.f64 (pow.f64 (log.f64 u1) #s(literal 1/4 binary64)) (*.f64 (pow.f64 #s(literal -2 binary64) #s(literal 1/4 binary64)) (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/4 binary64))))
(*.f64 (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/8 binary64)) (*.f64 (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/8 binary64)) (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/4 binary64))))
(*.f64 (pow.f64 (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/4 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/4 binary64)) #s(literal 1 binary64)))
(*.f64 (*.f64 (sqrt.f64 #s(literal -2 binary64)) (pow.f64 (log.f64 u1) #s(literal 1/4 binary64))) (pow.f64 (log.f64 u1) #s(literal 1/4 binary64)))
(*.f64 (*.f64 (sqrt.f64 (log.f64 u1)) (pow.f64 #s(literal -2 binary64) #s(literal 1/4 binary64))) (pow.f64 #s(literal -2 binary64) #s(literal 1/4 binary64)))
(*.f64 (*.f64 (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/4 binary64)) (pow.f64 #s(literal -2 binary64) #s(literal 1/4 binary64))) (pow.f64 (log.f64 u1) #s(literal 1/4 binary64)))
(*.f64 (*.f64 (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/4 binary64)) (pow.f64 (log.f64 u1) #s(literal 1/4 binary64))) (pow.f64 #s(literal -2 binary64) #s(literal 1/4 binary64)))
(*.f64 (*.f64 (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/4 binary64)) (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/8 binary64))) (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/8 binary64)))
#s(literal 1/6 binary64)
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(*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal 1/6 binary64))
(*.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))))
(*.f64 (sqrt.f64 #s(literal -2 binary64)) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (log.f64 u1))))
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(*.f64 (*.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -2 binary64))) (sqrt.f64 (log.f64 u1)))
(*.f64 (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (log.f64 u1))) (sqrt.f64 #s(literal -2 binary64)))
(*.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/4 binary64))) (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/4 binary64)))
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(*.f64 (*.f64 u2 (*.f64 #s(literal 2 binary64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (PI.f64)))
(*.f64 (*.f64 (*.f64 #s(literal 2 binary64) u2) #s(literal 1 binary64)) (PI.f64))
(*.f64 (*.f64 (*.f64 #s(literal 2 binary64) u2) (cbrt.f64 (PI.f64))) (pow.f64 (PI.f64) #s(literal 2/3 binary64)))
(*.f64 (*.f64 (*.f64 #s(literal 2 binary64) u2) (pow.f64 (PI.f64) #s(literal 2/3 binary64))) (cbrt.f64 (PI.f64)))
(*.f64 (*.f64 (*.f64 #s(literal 2 binary64) u2) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)))

eval121.0ms (1.3%)

Memory
-20.1MiB live, 55.3MiB allocated
Compiler

Compiled 11 920 to 619 computations (94.8% saved)

prune55.0ms (0.6%)

Memory
17.6MiB live, 56.8MiB allocated
Pruning

14 alts after pruning (14 fresh and 0 done)

PrunedKeptTotal
New33814352
Fresh000
Picked101
Done000
Total33914353
Accuracy
100.0%
Counts
353 → 14
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.2%
(fma.f64 (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/4 binary64)) (*.f64 (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/4 binary64)) (*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))))) #s(literal 1/2 binary64))
▶99.3%
(fma.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal 1/6 binary64)) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))) #s(literal 1/2 binary64))
▶99.3%
(fma.f64 (*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal 1/2 binary64))
99.2%
(/.f64 (fma.f64 #s(literal 1/36 binary64) (pow.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))) #s(literal 2 binary64)) #s(literal -1/4 binary64)) (fma.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))) #s(literal -1/2 binary64)))
98.8%
(/.f64 (fma.f64 #s(literal 1/216 binary64) (pow.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (fma.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))))) (fma.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))) #s(literal -1/2 binary64)) #s(literal 1/4 binary64)))
99.1%
(/.f64 (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal -1/36 binary64) (pow.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))) #s(literal 2 binary64)))) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))) #s(literal -1/6 binary64))))
99.3%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))) #s(literal 1/2 binary64))))
▶99.0%
(+.f64 (*.f64 (*.f64 (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/8 binary64)) (*.f64 (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/8 binary64)) (*.f64 #s(literal 1/6 binary64) (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/4 binary64))))) (cos.f64 (*.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) u2))) #s(literal 1/2 binary64))
▶99.3%
(+.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) (pow.f64 (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 2 binary64)) #s(literal 1/4 binary64))) (cos.f64 (*.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) u2))) #s(literal 1/2 binary64))
99.1%
(+.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) (pow.f64 (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/4 binary64)) #s(literal 2 binary64))) (cos.f64 (*.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) u2))) #s(literal 1/2 binary64))
▶98.8%
(+.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (log.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))))) (cos.f64 (*.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) u2))) #s(literal 1/2 binary64))
98.9%
(+.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) (*.f64 (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/8 binary64)) (*.f64 (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/8 binary64)) (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/4 binary64))))) (cos.f64 (*.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) u2))) #s(literal 1/2 binary64))
98.9%
(+.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) (exp.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)))))) (cos.f64 (*.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) u2))) #s(literal 1/2 binary64))
98.8%
(*.f64 (fma.f64 #s(literal 1/216 binary64) (pow.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))))) (fma.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))) #s(literal -1/2 binary64)) #s(literal 1/4 binary64))))
Compiler

Compiled 832 to 568 computations (31.7% saved)

simplify14.0ms (0.2%)

Memory
-17.5MiB live, 20.0MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(*.f64 (*.f64 (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/8 binary64)) (*.f64 (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/8 binary64)) (*.f64 #s(literal 1/6 binary64) (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/4 binary64))))) (cos.f64 (*.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) u2)))
✓cost-diff128
(+.f64 (*.f64 (*.f64 (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/8 binary64)) (*.f64 (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/8 binary64)) (*.f64 #s(literal 1/6 binary64) (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/4 binary64))))) (cos.f64 (*.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) u2))) #s(literal 1/2 binary64))
✓cost-diff7040
(*.f64 (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/8 binary64)) (*.f64 #s(literal 1/6 binary64) (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/4 binary64))))
✓cost-diff25792
(*.f64 (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/8 binary64)) (*.f64 (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/8 binary64)) (*.f64 #s(literal 1/6 binary64) (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/4 binary64)))))
✓cost-diff0
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (log.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)))))
✓cost-diff0
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (log.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))))) (cos.f64 (*.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) u2)))
✓cost-diff128
(+.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (log.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))))) (cos.f64 (*.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) u2))) #s(literal 1/2 binary64))
✓cost-diff704
(/.f64 #s(literal 1 binary64) #s(literal 6 binary64))
✓cost-diff0
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) (pow.f64 (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 2 binary64)) #s(literal 1/4 binary64)))
✓cost-diff0
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) (pow.f64 (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 2 binary64)) #s(literal 1/4 binary64))) (cos.f64 (*.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) u2)))
✓cost-diff128
(+.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) (pow.f64 (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 2 binary64)) #s(literal 1/4 binary64))) (cos.f64 (*.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) u2))) #s(literal 1/2 binary64))
✓cost-diff704
(/.f64 #s(literal 1 binary64) #s(literal 6 binary64))
✓cost-diff0
(*.f64 #s(literal -2 binary64) (log.f64 u1))
✓cost-diff0
(sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)))
✓cost-diff0
(*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal 1/6 binary64))
✓cost-diff0
(fma.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal 1/6 binary64)) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))) #s(literal 1/2 binary64))
✓cost-diff0
(*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))
✓cost-diff0
(cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))
✓cost-diff0
(*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))))
✓cost-diff0
(fma.f64 (*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal 1/2 binary64))
Rules
292×*-lowering-*.f32
292×*-lowering-*.f64
182×associate-*r*
128×associate-*l*
70×*-commutative
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
045407
187400
2152388
3248387
4291387
0291382
Stop Event
1×iter limit
1×saturated
Calls
Call 1
Inputs
(+ (* (* 1/6 (cos (* 2 (* (PI) u2)))) (sqrt (* -2 (log u1)))) 1/2)
(* 1/6 (cos (* 2 (* (PI) u2))))
1/6
(cos (* 2 (* (PI) u2)))
(* 2 (* (PI) u2))
2
(* (PI) u2)
(PI)
u2
(sqrt (* -2 (log u1)))
(* -2 (log u1))
-2
(log u1)
u1
1/2
(+ (* (* (sqrt (* -2 (log u1))) 1/6) (cos (* 2 (* (PI) u2)))) 1/2)
(* (sqrt (* -2 (log u1))) 1/6)
(sqrt (* -2 (log u1)))
(* -2 (log u1))
-2
(log u1)
u1
1/6
(cos (* 2 (* (PI) u2)))
(* 2 (* (PI) u2))
2
(* (PI) u2)
(PI)
u2
1/2
(+ (* (* (/ 1 6) (pow (pow (* -2 (log u1)) 2) 1/4)) (cos (* (* 2 (PI)) u2))) 1/2)
(* (* (/ 1 6) (pow (pow (* -2 (log u1)) 2) 1/4)) (cos (* (* 2 (PI)) u2)))
(* (/ 1 6) (pow (pow (* -2 (log u1)) 2) 1/4))
(/ 1 6)
1
6
(pow (pow (* -2 (log u1)) 2) 1/4)
(pow (* -2 (log u1)) 2)
(* -2 (log u1))
-2
(log u1)
u1
2
1/4
(cos (* (* 2 (PI)) u2))
(* (* 2 (PI)) u2)
(* 2 (PI))
(PI)
u2
1/2
(+ (* (* (/ 1 6) (pow (exp 1/2) (log (* -2 (log u1))))) (cos (* (* 2 (PI)) u2))) 1/2)
(* (* (/ 1 6) (pow (exp 1/2) (log (* -2 (log u1))))) (cos (* (* 2 (PI)) u2)))
(* (/ 1 6) (pow (exp 1/2) (log (* -2 (log u1)))))
(/ 1 6)
1
6
(pow (exp 1/2) (log (* -2 (log u1))))
(exp 1/2)
1/2
(log (* -2 (log u1)))
(* -2 (log u1))
-2
(log u1)
u1
(cos (* (* 2 (PI)) u2))
(* (* 2 (PI)) u2)
(* 2 (PI))
2
(PI)
u2
(+ (* (* (pow (* -2 (log u1)) 1/8) (* (pow (* -2 (log u1)) 1/8) (* 1/6 (pow (* -2 (log u1)) 1/4)))) (cos (* (* 2 (PI)) u2))) 1/2)
(* (* (pow (* -2 (log u1)) 1/8) (* (pow (* -2 (log u1)) 1/8) (* 1/6 (pow (* -2 (log u1)) 1/4)))) (cos (* (* 2 (PI)) u2)))
(* (pow (* -2 (log u1)) 1/8) (* (pow (* -2 (log u1)) 1/8) (* 1/6 (pow (* -2 (log u1)) 1/4))))
(pow (* -2 (log u1)) 1/8)
(* -2 (log u1))
-2
(log u1)
u1
1/8
(* (pow (* -2 (log u1)) 1/8) (* 1/6 (pow (* -2 (log u1)) 1/4)))
(* 1/6 (pow (* -2 (log u1)) 1/4))
1/6
(pow (* -2 (log u1)) 1/4)
1/4
(cos (* (* 2 (PI)) u2))
(* (* 2 (PI)) u2)
(* 2 (PI))
2
(PI)
u2
1/2
Outputs
(+ (* (* 1/6 (cos (* 2 (* (PI) u2)))) (sqrt (* -2 (log u1)))) 1/2)
(fma.f64 (*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 (PI.f64) (*.f64 #s(literal 2 binary64) u2)))) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal 1/2 binary64))
(* 1/6 (cos (* 2 (* (PI) u2))))
(*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 (PI.f64) (*.f64 #s(literal 2 binary64) u2))))
1/6
#s(literal 1/6 binary64)
(cos (* 2 (* (PI) u2)))
(cos.f64 (*.f64 (PI.f64) (*.f64 #s(literal 2 binary64) u2)))
(* 2 (* (PI) u2))
(*.f64 (PI.f64) (*.f64 #s(literal 2 binary64) u2))
2
#s(literal 2 binary64)
(* (PI) u2)
(*.f64 (PI.f64) u2)
(PI)
(PI.f64)
u2
(sqrt (* -2 (log u1)))
(sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)))
(* -2 (log u1))
(*.f64 #s(literal -2 binary64) (log.f64 u1))
-2
#s(literal -2 binary64)
(log u1)
(log.f64 u1)
u1
1/2
#s(literal 1/2 binary64)
(+ (* (* (sqrt (* -2 (log u1))) 1/6) (cos (* 2 (* (PI) u2)))) 1/2)
(fma.f64 (*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 (PI.f64) (*.f64 #s(literal 2 binary64) u2)))) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal 1/2 binary64))
(* (sqrt (* -2 (log u1))) 1/6)
(*.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))))
(sqrt (* -2 (log u1)))
(sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)))
(* -2 (log u1))
(*.f64 #s(literal -2 binary64) (log.f64 u1))
-2
#s(literal -2 binary64)
(log u1)
(log.f64 u1)
u1
1/6
#s(literal 1/6 binary64)
(cos (* 2 (* (PI) u2)))
(cos.f64 (*.f64 (PI.f64) (*.f64 #s(literal 2 binary64) u2)))
(* 2 (* (PI) u2))
(*.f64 (PI.f64) (*.f64 #s(literal 2 binary64) u2))
2
#s(literal 2 binary64)
(* (PI) u2)
(*.f64 (PI.f64) u2)
(PI)
(PI.f64)
u2
1/2
#s(literal 1/2 binary64)
(+ (* (* (/ 1 6) (pow (pow (* -2 (log u1)) 2) 1/4)) (cos (* (* 2 (PI)) u2))) 1/2)
(fma.f64 #s(literal 1/6 binary64) (*.f64 (pow.f64 (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (cos.f64 (*.f64 (PI.f64) (*.f64 #s(literal 2 binary64) u2)))) #s(literal 1/2 binary64))
(* (* (/ 1 6) (pow (pow (* -2 (log u1)) 2) 1/4)) (cos (* (* 2 (PI)) u2)))
(*.f64 (*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 (PI.f64) (*.f64 #s(literal 2 binary64) u2)))) (pow.f64 (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 2 binary64)) #s(literal 1/4 binary64)))
(* (/ 1 6) (pow (pow (* -2 (log u1)) 2) 1/4))
(*.f64 #s(literal 1/6 binary64) (pow.f64 (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 2 binary64)) #s(literal 1/4 binary64)))
(/ 1 6)
#s(literal 1/6 binary64)
1
#s(literal 1 binary64)
6
#s(literal 6 binary64)
(pow (pow (* -2 (log u1)) 2) 1/4)
(pow.f64 (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 2 binary64)) #s(literal 1/4 binary64))
(pow (* -2 (log u1)) 2)
(pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 2 binary64))
(* -2 (log u1))
(*.f64 #s(literal -2 binary64) (log.f64 u1))
-2
#s(literal -2 binary64)
(log u1)
(log.f64 u1)
u1
2
#s(literal 2 binary64)
1/4
#s(literal 1/4 binary64)
(cos (* (* 2 (PI)) u2))
(cos.f64 (*.f64 (PI.f64) (*.f64 #s(literal 2 binary64) u2)))
(* (* 2 (PI)) u2)
(*.f64 (PI.f64) (*.f64 #s(literal 2 binary64) u2))
(* 2 (PI))
(*.f64 #s(literal 2 binary64) (PI.f64))
(PI)
(PI.f64)
u2
1/2
#s(literal 1/2 binary64)
(+ (* (* (/ 1 6) (pow (exp 1/2) (log (* -2 (log u1))))) (cos (* (* 2 (PI)) u2))) 1/2)
(fma.f64 (*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 (PI.f64) (*.f64 #s(literal 2 binary64) u2)))) (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (log.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)))) #s(literal 1/2 binary64))
(* (* (/ 1 6) (pow (exp 1/2) (log (* -2 (log u1))))) (cos (* (* 2 (PI)) u2)))
(*.f64 (*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 (PI.f64) (*.f64 #s(literal 2 binary64) u2)))) (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (log.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)))))
(* (/ 1 6) (pow (exp 1/2) (log (* -2 (log u1)))))
(*.f64 #s(literal 1/6 binary64) (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (log.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)))))
(/ 1 6)
#s(literal 1/6 binary64)
1
#s(literal 1 binary64)
6
#s(literal 6 binary64)
(pow (exp 1/2) (log (* -2 (log u1))))
(pow.f64 (exp.f64 #s(literal 1/2 binary64)) (log.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))))
(exp 1/2)
(exp.f64 #s(literal 1/2 binary64))
1/2
#s(literal 1/2 binary64)
(log (* -2 (log u1)))
(log.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)))
(* -2 (log u1))
(*.f64 #s(literal -2 binary64) (log.f64 u1))
-2
#s(literal -2 binary64)
(log u1)
(log.f64 u1)
u1
(cos (* (* 2 (PI)) u2))
(cos.f64 (*.f64 (PI.f64) (*.f64 #s(literal 2 binary64) u2)))
(* (* 2 (PI)) u2)
(*.f64 (PI.f64) (*.f64 #s(literal 2 binary64) u2))
(* 2 (PI))
(*.f64 #s(literal 2 binary64) (PI.f64))
2
#s(literal 2 binary64)
(PI)
(PI.f64)
u2
(+ (* (* (pow (* -2 (log u1)) 1/8) (* (pow (* -2 (log u1)) 1/8) (* 1/6 (pow (* -2 (log u1)) 1/4)))) (cos (* (* 2 (PI)) u2))) 1/2)
(fma.f64 (*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 (PI.f64) (*.f64 #s(literal 2 binary64) u2)))) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal 1/2 binary64))
(* (* (pow (* -2 (log u1)) 1/8) (* (pow (* -2 (log u1)) 1/8) (* 1/6 (pow (* -2 (log u1)) 1/4)))) (cos (* (* 2 (PI)) u2)))
(*.f64 (*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 (PI.f64) (*.f64 #s(literal 2 binary64) u2)))) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))))
(* (pow (* -2 (log u1)) 1/8) (* (pow (* -2 (log u1)) 1/8) (* 1/6 (pow (* -2 (log u1)) 1/4))))
(*.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))))
(pow (* -2 (log u1)) 1/8)
(pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/8 binary64))
(* -2 (log u1))
(*.f64 #s(literal -2 binary64) (log.f64 u1))
-2
#s(literal -2 binary64)
(log u1)
(log.f64 u1)
u1
1/8
#s(literal 1/8 binary64)
(* (pow (* -2 (log u1)) 1/8) (* 1/6 (pow (* -2 (log u1)) 1/4)))
(*.f64 #s(literal 1/6 binary64) (pow.f64 (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/8 binary64)) #s(literal 3 binary64)))
(* 1/6 (pow (* -2 (log u1)) 1/4))
(*.f64 #s(literal 1/6 binary64) (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/4 binary64)))
1/6
#s(literal 1/6 binary64)
(pow (* -2 (log u1)) 1/4)
(pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/4 binary64))
1/4
#s(literal 1/4 binary64)
(cos (* (* 2 (PI)) u2))
(cos.f64 (*.f64 (PI.f64) (*.f64 #s(literal 2 binary64) u2)))
(* (* 2 (PI)) u2)
(*.f64 (PI.f64) (*.f64 #s(literal 2 binary64) u2))
(* 2 (PI))
(*.f64 #s(literal 2 binary64) (PI.f64))
2
#s(literal 2 binary64)
(PI)
(PI.f64)
u2
1/2
#s(literal 1/2 binary64)

localize445.0ms (4.6%)

Memory
3.8MiB live, 338.7MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
✓accuracy99.7%
(*.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) u2)
✓accuracy99.5%
(*.f64 (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/8 binary64)) (*.f64 #s(literal 1/6 binary64) (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/4 binary64))))
✓accuracy99.5%
(*.f64 #s(literal 1/6 binary64) (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/4 binary64)))
✓accuracy99.4%
(*.f64 (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/8 binary64)) (*.f64 (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/8 binary64)) (*.f64 #s(literal 1/6 binary64) (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/4 binary64)))))
✓accuracy99.9%
(+.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (log.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))))) (cos.f64 (*.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) u2))) #s(literal 1/2 binary64))
✓accuracy99.7%
(*.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) u2)
✓accuracy99.4%
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (log.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)))))
✓accuracy98.5%
(pow.f64 (exp.f64 #s(literal 1/2 binary64)) (log.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))))
✓accuracy99.9%
(pow.f64 (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 2 binary64)) #s(literal 1/4 binary64))
✓accuracy99.7%
(*.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) u2)
✓accuracy99.4%
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) (pow.f64 (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 2 binary64)) #s(literal 1/4 binary64)))
✓accuracy99.2%
(pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 2 binary64))
✓accuracy99.9%
(fma.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal 1/6 binary64)) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))) #s(literal 1/2 binary64))
✓accuracy99.8%
(sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)))
✓accuracy99.7%
(*.f64 (PI.f64) u2)
✓accuracy99.4%
(*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal 1/6 binary64))
✓accuracy100.0%
(*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))))
✓accuracy99.8%
(sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)))
✓accuracy99.7%
(*.f64 (PI.f64) u2)
✓accuracy99.4%
(fma.f64 (*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal 1/2 binary64))
Samples
113.0ms256×0valid
Compiler

Compiled 453 to 47 computations (89.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 76.0ms
ival-mult: 23.0ms (30.4% of total)
ival-pow: 21.0ms (27.8% of total)
ival-log: 7.0ms (9.3% of total)
ival-add: 6.0ms (7.9% of total)
ival-cos: 4.0ms (5.3% of total)
const: 4.0ms (5.3% of total)
ival-exp: 3.0ms (4% of total)
ival-div: 2.0ms (2.6% of total)
ival-sqrt: 2.0ms (2.6% of total)
ival-pow2: 2.0ms (2.6% of total)
ival-pi: 1.0ms (1.3% of total)
exact: 1.0ms (1.3% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series482.0ms (5%)

Memory
31.9MiB live, 458.0MiB allocated
Counts
25 → 384
Calls
Call 1
Inputs
#<alt (+ (* (* 1/6 (cos (* 2 (* (PI) u2)))) (sqrt (* -2 (log u1)))) 1/2)>
#<alt (* 1/6 (cos (* 2 (* (PI) u2))))>
#<alt (cos (* 2 (* (PI) u2)))>
#<alt (* 2 (* (PI) u2))>
#<alt (+ (* (* (sqrt (* -2 (log u1))) 1/6) (cos (* 2 (* (PI) u2)))) 1/2)>
#<alt (* (sqrt (* -2 (log u1))) 1/6)>
#<alt (sqrt (* -2 (log u1)))>
#<alt (* -2 (log u1))>
#<alt (/ 1 6)>
#<alt (+ (* (* (/ 1 6) (pow (pow (* -2 (log u1)) 2) 1/4)) (cos (* (* 2 (PI)) u2))) 1/2)>
#<alt (* (* (/ 1 6) (pow (pow (* -2 (log u1)) 2) 1/4)) (cos (* (* 2 (PI)) u2)))>
#<alt (* (/ 1 6) (pow (pow (* -2 (log u1)) 2) 1/4))>
#<alt (+ (* (* (/ 1 6) (pow (exp 1/2) (log (* -2 (log u1))))) (cos (* (* 2 (PI)) u2))) 1/2)>
#<alt (* (* (/ 1 6) (pow (exp 1/2) (log (* -2 (log u1))))) (cos (* (* 2 (PI)) u2)))>
#<alt (* (/ 1 6) (pow (exp 1/2) (log (* -2 (log u1)))))>
#<alt (* (pow (* -2 (log u1)) 1/8) (* (pow (* -2 (log u1)) 1/8) (* 1/6 (pow (* -2 (log u1)) 1/4))))>
#<alt (* (pow (* -2 (log u1)) 1/8) (* 1/6 (pow (* -2 (log u1)) 1/4)))>
#<alt (+ (* (* (pow (* -2 (log u1)) 1/8) (* (pow (* -2 (log u1)) 1/8) (* 1/6 (pow (* -2 (log u1)) 1/4)))) (cos (* (* 2 (PI)) u2))) 1/2)>
#<alt (* (* (pow (* -2 (log u1)) 1/8) (* (pow (* -2 (log u1)) 1/8) (* 1/6 (pow (* -2 (log u1)) 1/4)))) (cos (* (* 2 (PI)) u2)))>
#<alt (* (PI) u2)>
#<alt (pow (* -2 (log u1)) 2)>
#<alt (* (* 2 (PI)) u2)>
#<alt (pow (pow (* -2 (log u1)) 2) 1/4)>
#<alt (pow (exp 1/2) (log (* -2 (log u1))))>
#<alt (* 1/6 (pow (* -2 (log u1)) 1/4))>
Outputs
#<alt (+ 1/2 (* 1/6 (* (sqrt (log u1)) (sqrt -2))))>
#<alt (+ 1/2 (+ (* -1/3 (* (* (pow u2 2) (* (pow (PI) 2) (sqrt -2))) (sqrt (log u1)))) (* 1/6 (* (sqrt (log u1)) (sqrt -2)))))>
#<alt (+ 1/2 (+ (* 1/6 (* (sqrt (log u1)) (sqrt -2))) (* (pow u2 2) (+ (* -1/3 (* (* (pow (PI) 2) (sqrt -2)) (sqrt (log u1)))) (* 1/9 (* (* (pow u2 2) (* (pow (PI) 4) (sqrt -2))) (sqrt (log u1))))))))>
#<alt (+ 1/2 (+ (* 1/6 (* (sqrt (log u1)) (sqrt -2))) (* (pow u2 2) (+ (* -1/3 (* (* (pow (PI) 2) (sqrt -2)) (sqrt (log u1)))) (* (pow u2 2) (+ (* -2/135 (* (* (pow u2 2) (* (pow (PI) 6) (sqrt -2))) (sqrt (log u1)))) (* 1/9 (* (* (pow (PI) 4) (sqrt -2)) (sqrt (log u1))))))))))>
#<alt (+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))))>
#<alt (+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))))>
#<alt (+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))))>
#<alt (+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))))>
#<alt (+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))))>
#<alt (+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))))>
#<alt (+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))))>
#<alt (+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))))>
#<alt (+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))))>
#<alt (+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))))>
#<alt (+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))))>
#<alt (+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))))>
#<alt (+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -2) (sqrt -1))) (sqrt (log (/ 1 u1))))))>
#<alt (+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -2) (sqrt -1))) (sqrt (log (/ 1 u1))))))>
#<alt (+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -2) (sqrt -1))) (sqrt (log (/ 1 u1))))))>
#<alt (+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -2) (sqrt -1))) (sqrt (log (/ 1 u1))))))>
#<alt (+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))))>
#<alt (+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))))>
#<alt (+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))))>
#<alt (+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))))>
#<alt 1/6>
#<alt (+ 1/6 (* -1/3 (* (pow u2 2) (pow (PI) 2))))>
#<alt (+ 1/6 (* (pow u2 2) (+ (* -1/3 (pow (PI) 2)) (* 1/9 (* (pow u2 2) (pow (PI) 4))))))>
#<alt (+ 1/6 (* (pow u2 2) (+ (* -1/3 (pow (PI) 2)) (* (pow u2 2) (+ (* -2/135 (* (pow u2 2) (pow (PI) 6))) (* 1/9 (pow (PI) 4)))))))>
#<alt (* 1/6 (cos (* 2 (* u2 (PI)))))>
#<alt (* 1/6 (cos (* 2 (* u2 (PI)))))>
#<alt (* 1/6 (cos (* 2 (* u2 (PI)))))>
#<alt (* 1/6 (cos (* 2 (* u2 (PI)))))>
#<alt (* 1/6 (cos (* 2 (* u2 (PI)))))>
#<alt (* 1/6 (cos (* 2 (* u2 (PI)))))>
#<alt (* 1/6 (cos (* 2 (* u2 (PI)))))>
#<alt (* 1/6 (cos (* 2 (* u2 (PI)))))>
#<alt 1>
#<alt (+ 1 (* -2 (* (pow u2 2) (pow (PI) 2))))>
#<alt (+ 1 (* (pow u2 2) (+ (* -2 (pow (PI) 2)) (* 2/3 (* (pow u2 2) (pow (PI) 4))))))>
#<alt (+ 1 (* (pow u2 2) (+ (* -2 (pow (PI) 2)) (* (pow u2 2) (+ (* -4/45 (* (pow u2 2) (pow (PI) 6))) (* 2/3 (pow (PI) 4)))))))>
#<alt (cos (* 2 (* u2 (PI))))>
#<alt (cos (* 2 (* u2 (PI))))>
#<alt (cos (* 2 (* u2 (PI))))>
#<alt (cos (* 2 (* u2 (PI))))>
#<alt (cos (* 2 (* u2 (PI))))>
#<alt (cos (* 2 (* u2 (PI))))>
#<alt (cos (* 2 (* u2 (PI))))>
#<alt (cos (* 2 (* u2 (PI))))>
#<alt (* 2 (* u2 (PI)))>
#<alt (* 2 (* u2 (PI)))>
#<alt (* 2 (* u2 (PI)))>
#<alt (* 2 (* u2 (PI)))>
#<alt (* 2 (* u2 (PI)))>
#<alt (* 2 (* u2 (PI)))>
#<alt (* 2 (* u2 (PI)))>
#<alt (* 2 (* u2 (PI)))>
#<alt (* 2 (* u2 (PI)))>
#<alt (* 2 (* u2 (PI)))>
#<alt (* 2 (* u2 (PI)))>
#<alt (* 2 (* u2 (PI)))>
#<alt (+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))))>
#<alt (+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))))>
#<alt (+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))))>
#<alt (+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))))>
#<alt (+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -2) (sqrt -1))) (sqrt (log (/ 1 u1))))))>
#<alt (+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -2) (sqrt -1))) (sqrt (log (/ 1 u1))))))>
#<alt (+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -2) (sqrt -1))) (sqrt (log (/ 1 u1))))))>
#<alt (+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -2) (sqrt -1))) (sqrt (log (/ 1 u1))))))>
#<alt (+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))))>
#<alt (+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))))>
#<alt (+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))))>
#<alt (+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))))>
#<alt (+ 1/2 (* 1/6 (* (sqrt (log u1)) (sqrt -2))))>
#<alt (+ 1/2 (+ (* -1/3 (* (* (pow u2 2) (* (pow (PI) 2) (sqrt -2))) (sqrt (log u1)))) (* 1/6 (* (sqrt (log u1)) (sqrt -2)))))>
#<alt (+ 1/2 (+ (* 1/6 (* (sqrt (log u1)) (sqrt -2))) (* (pow u2 2) (+ (* -1/3 (* (* (pow (PI) 2) (sqrt -2)) (sqrt (log u1)))) (* 1/9 (* (* (pow u2 2) (* (pow (PI) 4) (sqrt -2))) (sqrt (log u1))))))))>
#<alt (+ 1/2 (+ (* 1/6 (* (sqrt (log u1)) (sqrt -2))) (* (pow u2 2) (+ (* -1/3 (* (* (pow (PI) 2) (sqrt -2)) (sqrt (log u1)))) (* (pow u2 2) (+ (* -2/135 (* (* (pow u2 2) (* (pow (PI) 6) (sqrt -2))) (sqrt (log u1)))) (* 1/9 (* (* (pow (PI) 4) (sqrt -2)) (sqrt (log u1))))))))))>
#<alt (+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))))>
#<alt (+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))))>
#<alt (+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))))>
#<alt (+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))))>
#<alt (+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))))>
#<alt (+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))))>
#<alt (+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))))>
#<alt (+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))))>
#<alt (* 1/6 (* (sqrt (log u1)) (sqrt -2)))>
#<alt (* 1/6 (* (sqrt (log u1)) (sqrt -2)))>
#<alt (* 1/6 (* (sqrt (log u1)) (sqrt -2)))>
#<alt (* 1/6 (* (sqrt (log u1)) (sqrt -2)))>
#<alt (* 1/6 (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1))))>
#<alt (* 1/6 (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1))))>
#<alt (* 1/6 (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1))))>
#<alt (* 1/6 (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1))))>
#<alt (* 1/6 (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))))>
#<alt (* 1/6 (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))))>
#<alt (* 1/6 (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))))>
#<alt (* 1/6 (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))))>
#<alt (* (sqrt (log u1)) (sqrt -2))>
#<alt (* (sqrt (log u1)) (sqrt -2))>
#<alt (* (sqrt (log u1)) (sqrt -2))>
#<alt (* (sqrt (log u1)) (sqrt -2))>
#<alt (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1)))>
#<alt (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1)))>
#<alt (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1)))>
#<alt (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1)))>
#<alt (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))>
#<alt (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))>
#<alt (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))>
#<alt (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))>
#<alt (* -2 (log u1))>
#<alt (* -2 (log u1))>
#<alt (* -2 (log u1))>
#<alt (* -2 (log u1))>
#<alt (* 2 (log (/ 1 u1)))>
#<alt (* 2 (log (/ 1 u1)))>
#<alt (* 2 (log (/ 1 u1)))>
#<alt (* 2 (log (/ 1 u1)))>
#<alt (* -2 (+ (log -1) (* -1 (log (/ -1 u1)))))>
#<alt (* -2 (+ (log -1) (* -1 (log (/ -1 u1)))))>
#<alt (* -2 (+ (log -1) (* -1 (log (/ -1 u1)))))>
#<alt (* -2 (+ (log -1) (* -1 (log (/ -1 u1)))))>
#<alt (+ 1/2 (* 1/6 (* (pow 4 1/4) (* (cos (* 2 (* u2 (PI)))) (sqrt (log u1))))))>
#<alt (+ 1/2 (* 1/6 (* (pow 4 1/4) (* (cos (* 2 (* u2 (PI)))) (sqrt (log u1))))))>
#<alt (+ 1/2 (* 1/6 (* (pow 4 1/4) (* (cos (* 2 (* u2 (PI)))) (sqrt (log u1))))))>
#<alt (+ 1/2 (* 1/6 (* (pow 4 1/4) (* (cos (* 2 (* u2 (PI)))) (sqrt (log u1))))))>
#<alt (+ 1/2 (* 1/6 (* (pow 4 1/4) (* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (log (/ 1 u1)))))))>
#<alt (+ 1/2 (* 1/6 (* (pow 4 1/4) (* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (log (/ 1 u1)))))))>
#<alt (+ 1/2 (* 1/6 (* (pow 4 1/4) (* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (log (/ 1 u1)))))))>
#<alt (+ 1/2 (* 1/6 (* (pow 4 1/4) (* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (log (/ 1 u1)))))))>
#<alt (+ 1/2 (* 1/6 (* (pow 4 1/4) (* (cos (* 2 (* u2 (PI)))) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))))))>
#<alt (+ 1/2 (* 1/6 (* (pow 4 1/4) (* (cos (* 2 (* u2 (PI)))) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))))))>
#<alt (+ 1/2 (* 1/6 (* (pow 4 1/4) (* (cos (* 2 (* u2 (PI)))) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))))))>
#<alt (+ 1/2 (* 1/6 (* (pow 4 1/4) (* (cos (* 2 (* u2 (PI)))) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))))))>
#<alt (+ 1/2 (* 1/6 (* (pow 4 1/4) (sqrt (log u1)))))>
#<alt (+ 1/2 (+ (* -1/3 (* (pow 4 1/4) (* (* (pow u2 2) (pow (PI) 2)) (sqrt (log u1))))) (* 1/6 (* (pow 4 1/4) (sqrt (log u1))))))>
#<alt (+ 1/2 (+ (* 1/6 (* (pow 4 1/4) (sqrt (log u1)))) (* (pow u2 2) (+ (* -1/3 (* (pow 4 1/4) (* (pow (PI) 2) (sqrt (log u1))))) (* 1/9 (* (pow 4 1/4) (* (* (pow u2 2) (pow (PI) 4)) (sqrt (log u1)))))))))>
#<alt (+ 1/2 (+ (* 1/6 (* (pow 4 1/4) (sqrt (log u1)))) (* (pow u2 2) (+ (* -1/3 (* (pow 4 1/4) (* (pow (PI) 2) (sqrt (log u1))))) (* (pow u2 2) (+ (* -2/135 (* (pow 4 1/4) (* (* (pow u2 2) (pow (PI) 6)) (sqrt (log u1))))) (* 1/9 (* (pow 4 1/4) (* (pow (PI) 4) (sqrt (log u1)))))))))))>
#<alt (+ 1/2 (* 1/6 (* (pow 4 1/4) (* (cos (* 2 (* u2 (PI)))) (sqrt (log u1))))))>
#<alt (+ 1/2 (* 1/6 (* (pow 4 1/4) (* (cos (* 2 (* u2 (PI)))) (sqrt (log u1))))))>
#<alt (+ 1/2 (* 1/6 (* (pow 4 1/4) (* (cos (* 2 (* u2 (PI)))) (sqrt (log u1))))))>
#<alt (+ 1/2 (* 1/6 (* (pow 4 1/4) (* (cos (* 2 (* u2 (PI)))) (sqrt (log u1))))))>
#<alt (+ 1/2 (* 1/6 (* (pow 4 1/4) (* (cos (* 2 (* u2 (PI)))) (sqrt (log u1))))))>
#<alt (+ 1/2 (* 1/6 (* (pow 4 1/4) (* (cos (* 2 (* u2 (PI)))) (sqrt (log u1))))))>
#<alt (+ 1/2 (* 1/6 (* (pow 4 1/4) (* (cos (* 2 (* u2 (PI)))) (sqrt (log u1))))))>
#<alt (+ 1/2 (* 1/6 (* (pow 4 1/4) (* (cos (* 2 (* u2 (PI)))) (sqrt (log u1))))))>
#<alt (* 1/6 (* (pow 4 1/4) (* (cos (* 2 (* u2 (PI)))) (sqrt (log u1)))))>
#<alt (* 1/6 (* (pow 4 1/4) (* (cos (* 2 (* u2 (PI)))) (sqrt (log u1)))))>
#<alt (* 1/6 (* (pow 4 1/4) (* (cos (* 2 (* u2 (PI)))) (sqrt (log u1)))))>
#<alt (* 1/6 (* (pow 4 1/4) (* (cos (* 2 (* u2 (PI)))) (sqrt (log u1)))))>
#<alt (* 1/6 (* (pow 4 1/4) (* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (log (/ 1 u1))))))>
#<alt (* 1/6 (* (pow 4 1/4) (* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (log (/ 1 u1))))))>
#<alt (* 1/6 (* (pow 4 1/4) (* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (log (/ 1 u1))))))>
#<alt (* 1/6 (* (pow 4 1/4) (* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (log (/ 1 u1))))))>
#<alt (* 1/6 (* (pow 4 1/4) (* (cos (* 2 (* u2 (PI)))) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))))>
#<alt (* 1/6 (* (pow 4 1/4) (* (cos (* 2 (* u2 (PI)))) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))))>
#<alt (* 1/6 (* (pow 4 1/4) (* (cos (* 2 (* u2 (PI)))) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))))>
#<alt (* 1/6 (* (pow 4 1/4) (* (cos (* 2 (* u2 (PI)))) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))))>
#<alt (* 1/6 (* (pow 4 1/4) (sqrt (log u1))))>
#<alt (+ (* -1/3 (* (pow 4 1/4) (* (* (pow u2 2) (pow (PI) 2)) (sqrt (log u1))))) (* 1/6 (* (pow 4 1/4) (sqrt (log u1)))))>
#<alt (+ (* 1/6 (* (pow 4 1/4) (sqrt (log u1)))) (* (pow u2 2) (+ (* -1/3 (* (pow 4 1/4) (* (pow (PI) 2) (sqrt (log u1))))) (* 1/9 (* (pow 4 1/4) (* (* (pow u2 2) (pow (PI) 4)) (sqrt (log u1))))))))>
#<alt (+ (* 1/6 (* (pow 4 1/4) (sqrt (log u1)))) (* (pow u2 2) (+ (* -1/3 (* (pow 4 1/4) (* (pow (PI) 2) (sqrt (log u1))))) (* (pow u2 2) (+ (* -2/135 (* (pow 4 1/4) (* (* (pow u2 2) (pow (PI) 6)) (sqrt (log u1))))) (* 1/9 (* (pow 4 1/4) (* (pow (PI) 4) (sqrt (log u1))))))))))>
#<alt (* 1/6 (* (pow 4 1/4) (* (cos (* 2 (* u2 (PI)))) (sqrt (log u1)))))>
#<alt (* 1/6 (* (pow 4 1/4) (* (cos (* 2 (* u2 (PI)))) (sqrt (log u1)))))>
#<alt (* 1/6 (* (pow 4 1/4) (* (cos (* 2 (* u2 (PI)))) (sqrt (log u1)))))>
#<alt (* 1/6 (* (pow 4 1/4) (* (cos (* 2 (* u2 (PI)))) (sqrt (log u1)))))>
#<alt (* 1/6 (* (pow 4 1/4) (* (cos (* 2 (* u2 (PI)))) (sqrt (log u1)))))>
#<alt (* 1/6 (* (pow 4 1/4) (* (cos (* 2 (* u2 (PI)))) (sqrt (log u1)))))>
#<alt (* 1/6 (* (pow 4 1/4) (* (cos (* 2 (* u2 (PI)))) (sqrt (log u1)))))>
#<alt (* 1/6 (* (pow 4 1/4) (* (cos (* 2 (* u2 (PI)))) (sqrt (log u1)))))>
#<alt (* 1/6 (* (pow 4 1/4) (sqrt (log u1))))>
#<alt (* 1/6 (* (pow 4 1/4) (sqrt (log u1))))>
#<alt (* 1/6 (* (pow 4 1/4) (sqrt (log u1))))>
#<alt (* 1/6 (* (pow 4 1/4) (sqrt (log u1))))>
#<alt (* 1/6 (* (pow 4 1/4) (* (sqrt (log (/ 1 u1))) (sqrt -1))))>
#<alt (* 1/6 (* (pow 4 1/4) (* (sqrt (log (/ 1 u1))) (sqrt -1))))>
#<alt (* 1/6 (* (pow 4 1/4) (* (sqrt (log (/ 1 u1))) (sqrt -1))))>
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#<alt (+ 1/2 (+ (* 1/6 (* (pow 16 1/8) (sqrt (log u1)))) (* (pow u2 2) (+ (* -1/3 (* (pow 16 1/8) (* (pow (PI) 2) (sqrt (log u1))))) (* (pow u2 2) (+ (* -2/135 (* (pow 16 1/8) (* (* (pow u2 2) (pow (PI) 6)) (sqrt (log u1))))) (* 1/9 (* (pow 16 1/8) (* (pow (PI) 4) (sqrt (log u1)))))))))))>
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#<alt (* 1/6 (* (pow 16 1/8) (* (cos (* 2 (* u2 (PI)))) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))))>
#<alt (* 1/6 (* (pow 16 1/8) (* (cos (* 2 (* u2 (PI)))) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))))>
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#<alt (* 1/6 (* (pow 16 1/8) (* (cos (* 2 (* u2 (PI)))) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))))>
#<alt (* 1/6 (* (pow 16 1/8) (sqrt (log u1))))>
#<alt (+ (* -1/3 (* (pow 16 1/8) (* (* (pow u2 2) (pow (PI) 2)) (sqrt (log u1))))) (* 1/6 (* (pow 16 1/8) (sqrt (log u1)))))>
#<alt (+ (* 1/6 (* (pow 16 1/8) (sqrt (log u1)))) (* (pow u2 2) (+ (* -1/3 (* (pow 16 1/8) (* (pow (PI) 2) (sqrt (log u1))))) (* 1/9 (* (pow 16 1/8) (* (* (pow u2 2) (pow (PI) 4)) (sqrt (log u1))))))))>
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#<alt (* 1/6 (* (pow 16 1/8) (* (cos (* 2 (* u2 (PI)))) (sqrt (log u1)))))>
#<alt (* 1/6 (* (pow 16 1/8) (* (cos (* 2 (* u2 (PI)))) (sqrt (log u1)))))>
#<alt (* u2 (PI))>
#<alt (* u2 (PI))>
#<alt (* u2 (PI))>
#<alt (* u2 (PI))>
#<alt (* u2 (PI))>
#<alt (* u2 (PI))>
#<alt (* u2 (PI))>
#<alt (* u2 (PI))>
#<alt (* u2 (PI))>
#<alt (* u2 (PI))>
#<alt (* u2 (PI))>
#<alt (* u2 (PI))>
#<alt (* 4 (pow (log u1) 2))>
#<alt (* 4 (pow (log u1) 2))>
#<alt (* 4 (pow (log u1) 2))>
#<alt (* 4 (pow (log u1) 2))>
#<alt (* 4 (pow (log (/ 1 u1)) 2))>
#<alt (* 4 (pow (log (/ 1 u1)) 2))>
#<alt (* 4 (pow (log (/ 1 u1)) 2))>
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#<alt (* 4 (pow (+ (log -1) (* -1 (log (/ -1 u1)))) 2))>
#<alt (* 4 (pow (+ (log -1) (* -1 (log (/ -1 u1)))) 2))>
#<alt (* 4 (pow (+ (log -1) (* -1 (log (/ -1 u1)))) 2))>
#<alt (* 4 (pow (+ (log -1) (* -1 (log (/ -1 u1)))) 2))>
#<alt (* 2 (* u2 (PI)))>
#<alt (* 2 (* u2 (PI)))>
#<alt (* 2 (* u2 (PI)))>
#<alt (* 2 (* u2 (PI)))>
#<alt (* 2 (* u2 (PI)))>
#<alt (* 2 (* u2 (PI)))>
#<alt (* 2 (* u2 (PI)))>
#<alt (* 2 (* u2 (PI)))>
#<alt (* 2 (* u2 (PI)))>
#<alt (* 2 (* u2 (PI)))>
#<alt (* 2 (* u2 (PI)))>
#<alt (* 2 (* u2 (PI)))>
#<alt (* (pow 4 1/4) (sqrt (log u1)))>
#<alt (* (pow 4 1/4) (sqrt (log u1)))>
#<alt (* (pow 4 1/4) (sqrt (log u1)))>
#<alt (* (pow 4 1/4) (sqrt (log u1)))>
#<alt (* (pow 4 1/4) (* (sqrt (log (/ 1 u1))) (sqrt -1)))>
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#<alt (* (sqrt (log u1)) (sqrt -2))>
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#<alt (* (sqrt (log u1)) (sqrt -2))>
#<alt (* (sqrt (log (/ 1 u1))) (sqrt 2))>
#<alt (* (sqrt (log (/ 1 u1))) (sqrt 2))>
#<alt (* (sqrt (log (/ 1 u1))) (sqrt 2))>
#<alt (* (sqrt (log (/ 1 u1))) (sqrt 2))>
#<alt (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))>
#<alt (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))>
#<alt (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))>
#<alt (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))>
#<alt (* 1/6 (pow (* -2 (log u1)) 1/4))>
#<alt (* 1/6 (pow (* -2 (log u1)) 1/4))>
#<alt (* 1/6 (pow (* -2 (log u1)) 1/4))>
#<alt (* 1/6 (pow (* -2 (log u1)) 1/4))>
#<alt (* 1/6 (pow (* 2 (log (/ 1 u1))) 1/4))>
#<alt (* 1/6 (pow (* 2 (log (/ 1 u1))) 1/4))>
#<alt (* 1/6 (pow (* 2 (log (/ 1 u1))) 1/4))>
#<alt (* 1/6 (pow (* 2 (log (/ 1 u1))) 1/4))>
#<alt (* 1/6 (pow (* -2 (+ (log -1) (* -1 (log (/ -1 u1))))) 1/4))>
#<alt (* 1/6 (pow (* -2 (+ (log -1) (* -1 (log (/ -1 u1))))) 1/4))>
#<alt (* 1/6 (pow (* -2 (+ (log -1) (* -1 (log (/ -1 u1))))) 1/4))>
#<alt (* 1/6 (pow (* -2 (+ (log -1) (* -1 (log (/ -1 u1))))) 1/4))>
Calls

96 calls:

TimeVariablePointExpression
209.0ms
u1
@0
(* (pow (* -2 (log u1)) 1/8) (* (pow (* -2 (log u1)) 1/8) (* 1/6 (pow (* -2 (log u1)) 1/4))))
41.0ms
u1
@0
(+ (* (* (/ 1 6) (pow (pow (* -2 (log u1)) 2) 1/4)) (cos (* (* 2 (PI)) u2))) 1/2)
35.0ms
u1
@-inf
(* (pow (* -2 (log u1)) 1/8) (* 1/6 (pow (* -2 (log u1)) 1/4)))
34.0ms
u1
@0
(+ (* (* (/ 1 6) (pow (exp 1/2) (log (* -2 (log u1))))) (cos (* (* 2 (PI)) u2))) 1/2)
34.0ms
u1
@inf
(* (pow (* -2 (log u1)) 1/8) (* 1/6 (pow (* -2 (log u1)) 1/4)))

rewrite477.0ms (5%)

Memory
-16.0MiB live, 747.2MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
5 552×accelerator-lowering-fma.f32
5 552×accelerator-lowering-fma.f64
5 490×*-lowering-*.f32
5 490×*-lowering-*.f64
1 838×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
045226
1210226
21069219
35876219
08645214
Stop Event
1×iter limit
1×node limit
Counts
25 → 1 357
Calls
Call 1
Inputs
(+ (* (* 1/6 (cos (* 2 (* (PI) u2)))) (sqrt (* -2 (log u1)))) 1/2)
(* 1/6 (cos (* 2 (* (PI) u2))))
(cos (* 2 (* (PI) u2)))
(* 2 (* (PI) u2))
(+ (* (* (sqrt (* -2 (log u1))) 1/6) (cos (* 2 (* (PI) u2)))) 1/2)
(* (sqrt (* -2 (log u1))) 1/6)
(sqrt (* -2 (log u1)))
(* -2 (log u1))
(/ 1 6)
(+ (* (* (/ 1 6) (pow (pow (* -2 (log u1)) 2) 1/4)) (cos (* (* 2 (PI)) u2))) 1/2)
(* (* (/ 1 6) (pow (pow (* -2 (log u1)) 2) 1/4)) (cos (* (* 2 (PI)) u2)))
(* (/ 1 6) (pow (pow (* -2 (log u1)) 2) 1/4))
(+ (* (* (/ 1 6) (pow (exp 1/2) (log (* -2 (log u1))))) (cos (* (* 2 (PI)) u2))) 1/2)
(* (* (/ 1 6) (pow (exp 1/2) (log (* -2 (log u1))))) (cos (* (* 2 (PI)) u2)))
(* (/ 1 6) (pow (exp 1/2) (log (* -2 (log u1)))))
(* (pow (* -2 (log u1)) 1/8) (* (pow (* -2 (log u1)) 1/8) (* 1/6 (pow (* -2 (log u1)) 1/4))))
(* (pow (* -2 (log u1)) 1/8) (* 1/6 (pow (* -2 (log u1)) 1/4)))
(+ (* (* (pow (* -2 (log u1)) 1/8) (* (pow (* -2 (log u1)) 1/8) (* 1/6 (pow (* -2 (log u1)) 1/4)))) (cos (* (* 2 (PI)) u2))) 1/2)
(* (* (pow (* -2 (log u1)) 1/8) (* (pow (* -2 (log u1)) 1/8) (* 1/6 (pow (* -2 (log u1)) 1/4)))) (cos (* (* 2 (PI)) u2)))
(* (PI) u2)
(pow (* -2 (log u1)) 2)
(* (* 2 (PI)) u2)
(pow (pow (* -2 (log u1)) 2) 1/4)
(pow (exp 1/2) (log (* -2 (log u1))))
(* 1/6 (pow (* -2 (log u1)) 1/4))
Outputs
(+.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)))) (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2)))) #s(literal 1/2 binary64))
(+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)))) (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2)))))
(+.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) (+.f64 u2 u2)))))) (/.f64 (*.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/36 binary64)) (fma.f64 (*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2)))) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal -1/2 binary64)))) (neg.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 (*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2)))) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal -1/2 binary64)))))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2)))) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal 1/2 binary64)))) #s(literal -1 binary64)))
(-.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) (+.f64 u2 u2)))))) (/.f64 (*.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/36 binary64)) (fma.f64 (*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2)))) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal -1/2 binary64)))) (/.f64 #s(literal 1/4 binary64) (fma.f64 (*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2)))) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal -1/2 binary64))))
(-.f64 (/.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2)))) #s(literal -1/6 binary64)))) (/.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) (+.f64 u2 u2)))))) (*.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/36 binary64))) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2)))) #s(literal -1/6 binary64)))))
(fma.f64 #s(literal 1/6 binary64) (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2)))) #s(literal 1/2 binary64))
(fma.f64 #s(literal 1/6 binary64) (/.f64 (*.f64 (*.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) (+.f64 u2 u2))))))) #s(literal 1/6 binary64)) (fma.f64 (*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2)))) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal -1/2 binary64))) (neg.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 (*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2)))) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal -1/2 binary64)))))
(fma.f64 (*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2)))) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal 1/2 binary64))
(fma.f64 (*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2)))) (/.f64 (*.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) (*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2))))) (fma.f64 (*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2)))) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal -1/2 binary64))) (neg.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 (*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2)))) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal -1/2 binary64)))))
(fma.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) (/.f64 (*.f64 #s(literal 1/36 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) (+.f64 u2 u2))))))) (fma.f64 (*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2)))) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal -1/2 binary64))) (neg.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 (*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2)))) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal -1/2 binary64)))))
(fma.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2)))) #s(literal 1/2 binary64))
(fma.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (/.f64 (*.f64 (*.f64 #s(literal 1/36 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) (+.f64 u2 u2))))))) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)))) (fma.f64 (*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2)))) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal -1/2 binary64))) (neg.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 (*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2)))) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal -1/2 binary64)))))
(fma.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)))) (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2)))) (/.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)))) (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2)))) (fma.f64 (*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2)))) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal -1/2 binary64))) (neg.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 (*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2)))) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal -1/2 binary64)))))
(fma.f64 (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)))) (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2))) #s(literal 1/2 binary64))
(fma.f64 (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)))) (/.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) (+.f64 u2 u2)))))) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))))) (fma.f64 (*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2)))) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal -1/2 binary64))) (neg.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 (*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2)))) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal -1/2 binary64)))))
(fma.f64 (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2))) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)))) #s(literal 1/2 binary64))
(fma.f64 (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2))) (/.f64 (*.f64 (*.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/36 binary64)) (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2)))) (fma.f64 (*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2)))) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal -1/2 binary64))) (neg.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 (*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2)))) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal -1/2 binary64)))))
(fma.f64 (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/8 binary64)) (*.f64 (*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2)))) (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 3/8 binary64))) #s(literal 1/2 binary64))
(fma.f64 (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/8 binary64)) (/.f64 (*.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) (+.f64 u2 u2)))))) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))))) (*.f64 #s(literal 1/6 binary64) (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 3/8 binary64)))) (fma.f64 (*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2)))) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal -1/2 binary64))) (neg.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 (*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2)))) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal -1/2 binary64)))))
(fma.f64 (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/4 binary64)) (*.f64 (*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2)))) (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/4 binary64))) #s(literal 1/2 binary64))
(fma.f64 (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/4 binary64)) (/.f64 (pow.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2)))) (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 3/8 binary64))) #s(literal 2 binary64)) (fma.f64 (*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2)))) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal -1/2 binary64))) (neg.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 (*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2)))) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal -1/2 binary64)))))
(fma.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/4 binary64))) (*.f64 (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2))) (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/4 binary64))) #s(literal 1/2 binary64))
(fma.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 3/8 binary64))) (*.f64 (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2))) (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/8 binary64))) #s(literal 1/2 binary64))
(fma.f64 (pow.f64 #s(literal -2 binary64) #s(literal 1/8 binary64)) (*.f64 (pow.f64 (log.f64 u1) #s(literal 1/8 binary64)) (*.f64 (*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2)))) (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 3/8 binary64)))) #s(literal 1/2 binary64))
(fma.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) (+.f64 u2 u2)))))) (*.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/36 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2)))) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal -1/2 binary64))) (neg.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 (*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2)))) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal -1/2 binary64)))))
(fma.f64 (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/16 binary64)) (*.f64 (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/16 binary64)) (*.f64 (*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2)))) (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 3/8 binary64)))) #s(literal 1/2 binary64))
(fma.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2)))) #s(literal 1/6 binary64) #s(literal 1/2 binary64))
(fma.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2)))) (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 3/8 binary64))) (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/8 binary64)) #s(literal 1/2 binary64))
(fma.f64 (sqrt.f64 #s(literal -2 binary64)) (*.f64 (*.f64 (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2))) (sqrt.f64 (log.f64 u1))) #s(literal 1/6 binary64)) #s(literal 1/2 binary64))
(fma.f64 (sqrt.f64 (log.f64 u1)) (*.f64 (*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2)))) (sqrt.f64 #s(literal -2 binary64))) #s(literal 1/2 binary64))
(fma.f64 #s(literal 1/36 binary64) (/.f64 (*.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) (+.f64 u2 u2))))))) (fma.f64 (*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2)))) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal -1/2 binary64))) (neg.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 (*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2)))) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal -1/2 binary64)))))
(fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) (+.f64 u2 u2)))))) (/.f64 (*.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/36 binary64)) (fma.f64 (*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2)))) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal -1/2 binary64))) (neg.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 (*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2)))) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal -1/2 binary64)))))
(fma.f64 (*.f64 #s(literal 1/36 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) (+.f64 u2 u2))))))) (/.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) (fma.f64 (*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2)))) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal -1/2 binary64))) (neg.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 (*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2)))) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal -1/2 binary64)))))
(fma.f64 (*.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/36 binary64)) (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) (+.f64 u2 u2)))))) (fma.f64 (*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2)))) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal -1/2 binary64))) (neg.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 (*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2)))) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal -1/2 binary64)))))
(fma.f64 (*.f64 (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2))) (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/8 binary64))) (*.f64 #s(literal 1/6 binary64) (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 3/8 binary64))) #s(literal 1/2 binary64))
(fma.f64 (*.f64 (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2))) (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/4 binary64))) (*.f64 #s(literal 1/6 binary64) (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/4 binary64))) #s(literal 1/2 binary64))
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(*.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/8 binary64))) (pow.f64 (log.f64 u1) #s(literal 1/8 binary64))) (pow.f64 #s(literal -2 binary64) #s(literal 1/8 binary64)))
(*.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/8 binary64))) (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/16 binary64))) (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/16 binary64)))
(*.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 #s(literal -2 binary64) #s(literal 1/4 binary64))) (pow.f64 (log.f64 u1) #s(literal 1/8 binary64))) (pow.f64 (log.f64 u1) #s(literal 1/8 binary64)))

simplify412.0ms (4.3%)

Memory
-15.1MiB live, 577.7MiB allocated
Algorithm
1×egg-herbie
Rules
2×1-exp
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
093639723
193739723
093739723
Stop Event
1×saturated
1×saturated
Counts
1 357 → 1 357
Calls
Call 1
Inputs
(+.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)))) (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2)))) #s(literal 1/2 binary64))
(+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)))) (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2)))))
(+.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) (+.f64 u2 u2)))))) (/.f64 (*.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/36 binary64)) (fma.f64 (*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2)))) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal -1/2 binary64)))) (neg.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 (*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2)))) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal -1/2 binary64)))))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2)))) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal 1/2 binary64)))) #s(literal -1 binary64)))
(-.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) (+.f64 u2 u2)))))) (/.f64 (*.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/36 binary64)) (fma.f64 (*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2)))) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal -1/2 binary64)))) (/.f64 #s(literal 1/4 binary64) (fma.f64 (*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2)))) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal -1/2 binary64))))
(-.f64 (/.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2)))) #s(literal -1/6 binary64)))) (/.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) (+.f64 u2 u2)))))) (*.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/36 binary64))) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2)))) #s(literal -1/6 binary64)))))
(fma.f64 #s(literal 1/6 binary64) (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2)))) #s(literal 1/2 binary64))
(fma.f64 #s(literal 1/6 binary64) (/.f64 (*.f64 (*.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) (+.f64 u2 u2))))))) #s(literal 1/6 binary64)) (fma.f64 (*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2)))) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal -1/2 binary64))) (neg.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 (*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2)))) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal -1/2 binary64)))))
(fma.f64 (*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2)))) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal 1/2 binary64))
(fma.f64 (*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2)))) (/.f64 (*.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) (*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2))))) (fma.f64 (*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2)))) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal -1/2 binary64))) (neg.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 (*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2)))) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal -1/2 binary64)))))
(fma.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) (/.f64 (*.f64 #s(literal 1/36 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) (+.f64 u2 u2))))))) (fma.f64 (*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2)))) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal -1/2 binary64))) (neg.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 (*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2)))) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal -1/2 binary64)))))
(fma.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2)))) #s(literal 1/2 binary64))
(fma.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (/.f64 (*.f64 (*.f64 #s(literal 1/36 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) (+.f64 u2 u2))))))) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)))) (fma.f64 (*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2)))) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal -1/2 binary64))) (neg.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 (*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2)))) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal -1/2 binary64)))))
(fma.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)))) (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2)))) (/.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)))) (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2)))) (fma.f64 (*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2)))) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal -1/2 binary64))) (neg.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 (*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2)))) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal -1/2 binary64)))))
(fma.f64 (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)))) (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2))) #s(literal 1/2 binary64))
(fma.f64 (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)))) (/.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) (+.f64 u2 u2)))))) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))))) (fma.f64 (*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2)))) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal -1/2 binary64))) (neg.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 (*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2)))) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal -1/2 binary64)))))
(fma.f64 (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2))) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)))) #s(literal 1/2 binary64))
(fma.f64 (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2))) (/.f64 (*.f64 (*.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/36 binary64)) (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2)))) (fma.f64 (*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2)))) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal -1/2 binary64))) (neg.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 (*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2)))) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal -1/2 binary64)))))
(fma.f64 (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/8 binary64)) (*.f64 (*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2)))) (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 3/8 binary64))) #s(literal 1/2 binary64))
(fma.f64 (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/8 binary64)) (/.f64 (*.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) (+.f64 u2 u2)))))) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))))) (*.f64 #s(literal 1/6 binary64) (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 3/8 binary64)))) (fma.f64 (*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2)))) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal -1/2 binary64))) (neg.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 (*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2)))) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal -1/2 binary64)))))
(fma.f64 (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/4 binary64)) (*.f64 (*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2)))) (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/4 binary64))) #s(literal 1/2 binary64))
(fma.f64 (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/4 binary64)) (/.f64 (pow.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2)))) (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 3/8 binary64))) #s(literal 2 binary64)) (fma.f64 (*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2)))) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal -1/2 binary64))) (neg.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 (*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2)))) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal -1/2 binary64)))))
(fma.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/4 binary64))) (*.f64 (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2))) (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/4 binary64))) #s(literal 1/2 binary64))
(fma.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 3/8 binary64))) (*.f64 (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2))) (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/8 binary64))) #s(literal 1/2 binary64))
(fma.f64 (pow.f64 #s(literal -2 binary64) #s(literal 1/8 binary64)) (*.f64 (pow.f64 (log.f64 u1) #s(literal 1/8 binary64)) (*.f64 (*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2)))) (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 3/8 binary64)))) #s(literal 1/2 binary64))
(fma.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) (+.f64 u2 u2)))))) (*.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/36 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2)))) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal -1/2 binary64))) (neg.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 (*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2)))) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal -1/2 binary64)))))
(fma.f64 (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/16 binary64)) (*.f64 (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/16 binary64)) (*.f64 (*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2)))) (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 3/8 binary64)))) #s(literal 1/2 binary64))
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(fma.f64 (sqrt.f64 (log.f64 u1)) (*.f64 (*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2)))) (sqrt.f64 #s(literal -2 binary64))) #s(literal 1/2 binary64))
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(*.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/8 binary64))) (pow.f64 (log.f64 u1) #s(literal 1/8 binary64))) (pow.f64 #s(literal -2 binary64) #s(literal 1/8 binary64)))
(*.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/8 binary64))) (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/16 binary64))) (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/16 binary64)))
(*.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 #s(literal -2 binary64) #s(literal 1/4 binary64))) (pow.f64 (log.f64 u1) #s(literal 1/8 binary64))) (pow.f64 (log.f64 u1) #s(literal 1/8 binary64)))
Outputs
(+.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)))) (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2)))) #s(literal 1/2 binary64))
(+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)))) (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2)))))
(+.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) (+.f64 u2 u2)))))) (/.f64 (*.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/36 binary64)) (fma.f64 (*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2)))) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal -1/2 binary64)))) (neg.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 (*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2)))) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal -1/2 binary64)))))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2)))) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal 1/2 binary64)))) #s(literal -1 binary64)))
(-.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) (+.f64 u2 u2)))))) (/.f64 (*.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/36 binary64)) (fma.f64 (*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2)))) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal -1/2 binary64)))) (/.f64 #s(literal 1/4 binary64) (fma.f64 (*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2)))) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal -1/2 binary64))))
(-.f64 (/.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2)))) #s(literal -1/6 binary64)))) (/.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) (+.f64 u2 u2)))))) (*.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/36 binary64))) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2)))) #s(literal -1/6 binary64)))))
(fma.f64 #s(literal 1/6 binary64) (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2)))) #s(literal 1/2 binary64))
(fma.f64 #s(literal 1/6 binary64) (/.f64 (*.f64 (*.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) (+.f64 u2 u2))))))) #s(literal 1/6 binary64)) (fma.f64 (*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2)))) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal -1/2 binary64))) (neg.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 (*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2)))) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal -1/2 binary64)))))
(fma.f64 (*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2)))) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal 1/2 binary64))
(fma.f64 (*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2)))) (/.f64 (*.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) (*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2))))) (fma.f64 (*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2)))) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal -1/2 binary64))) (neg.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 (*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2)))) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal -1/2 binary64)))))
(fma.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) (/.f64 (*.f64 #s(literal 1/36 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) (+.f64 u2 u2))))))) (fma.f64 (*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2)))) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal -1/2 binary64))) (neg.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 (*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2)))) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal -1/2 binary64)))))
(fma.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2)))) #s(literal 1/2 binary64))
(fma.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (/.f64 (*.f64 (*.f64 #s(literal 1/36 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) (+.f64 u2 u2))))))) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)))) (fma.f64 (*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2)))) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal -1/2 binary64))) (neg.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 (*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2)))) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal -1/2 binary64)))))
(fma.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)))) (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2)))) (/.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)))) (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2)))) (fma.f64 (*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2)))) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal -1/2 binary64))) (neg.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 (*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2)))) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal -1/2 binary64)))))
(fma.f64 (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)))) (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2))) #s(literal 1/2 binary64))
(fma.f64 (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)))) (/.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) (+.f64 u2 u2)))))) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))))) (fma.f64 (*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2)))) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal -1/2 binary64))) (neg.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 (*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2)))) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal -1/2 binary64)))))
(fma.f64 (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2))) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)))) #s(literal 1/2 binary64))
(fma.f64 (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2))) (/.f64 (*.f64 (*.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/36 binary64)) (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2)))) (fma.f64 (*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2)))) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal -1/2 binary64))) (neg.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 (*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2)))) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal -1/2 binary64)))))
(fma.f64 (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/8 binary64)) (*.f64 (*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2)))) (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 3/8 binary64))) #s(literal 1/2 binary64))
(fma.f64 (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/8 binary64)) (/.f64 (*.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) (+.f64 u2 u2)))))) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))))) (*.f64 #s(literal 1/6 binary64) (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 3/8 binary64)))) (fma.f64 (*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2)))) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal -1/2 binary64))) (neg.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 (*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2)))) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal -1/2 binary64)))))
(fma.f64 (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/4 binary64)) (*.f64 (*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2)))) (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/4 binary64))) #s(literal 1/2 binary64))
(fma.f64 (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/4 binary64)) (/.f64 (pow.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2)))) (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 3/8 binary64))) #s(literal 2 binary64)) (fma.f64 (*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2)))) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal -1/2 binary64))) (neg.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 (*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2)))) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal -1/2 binary64)))))
(fma.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/4 binary64))) (*.f64 (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2))) (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/4 binary64))) #s(literal 1/2 binary64))
(fma.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 3/8 binary64))) (*.f64 (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2))) (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/8 binary64))) #s(literal 1/2 binary64))
(fma.f64 (pow.f64 #s(literal -2 binary64) #s(literal 1/8 binary64)) (*.f64 (pow.f64 (log.f64 u1) #s(literal 1/8 binary64)) (*.f64 (*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2)))) (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 3/8 binary64)))) #s(literal 1/2 binary64))
(fma.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) (+.f64 u2 u2)))))) (*.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/36 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2)))) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal -1/2 binary64))) (neg.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 (*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2)))) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal -1/2 binary64)))))
(fma.f64 (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/16 binary64)) (*.f64 (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/16 binary64)) (*.f64 (*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2)))) (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 3/8 binary64)))) #s(literal 1/2 binary64))
(fma.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2)))) #s(literal 1/6 binary64) #s(literal 1/2 binary64))
(fma.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2)))) (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 3/8 binary64))) (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/8 binary64)) #s(literal 1/2 binary64))
(fma.f64 (sqrt.f64 #s(literal -2 binary64)) (*.f64 (*.f64 (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2))) (sqrt.f64 (log.f64 u1))) #s(literal 1/6 binary64)) #s(literal 1/2 binary64))
(fma.f64 (sqrt.f64 (log.f64 u1)) (*.f64 (*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2)))) (sqrt.f64 #s(literal -2 binary64))) #s(literal 1/2 binary64))
(fma.f64 #s(literal 1/36 binary64) (/.f64 (*.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) (+.f64 u2 u2))))))) (fma.f64 (*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2)))) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal -1/2 binary64))) (neg.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 (*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2)))) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal -1/2 binary64)))))
(fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) (+.f64 u2 u2)))))) (/.f64 (*.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/36 binary64)) (fma.f64 (*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2)))) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal -1/2 binary64))) (neg.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 (*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2)))) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal -1/2 binary64)))))
(fma.f64 (*.f64 #s(literal 1/36 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) (+.f64 u2 u2))))))) (/.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) (fma.f64 (*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2)))) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal -1/2 binary64))) (neg.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 (*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2)))) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal -1/2 binary64)))))
(fma.f64 (*.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/36 binary64)) (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) (+.f64 u2 u2)))))) (fma.f64 (*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2)))) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal -1/2 binary64))) (neg.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 (*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2)))) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal -1/2 binary64)))))
(fma.f64 (*.f64 (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2))) (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/8 binary64))) (*.f64 #s(literal 1/6 binary64) (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 3/8 binary64))) #s(literal 1/2 binary64))
(fma.f64 (*.f64 (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2))) (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/4 binary64))) (*.f64 #s(literal 1/6 binary64) (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/4 binary64))) #s(literal 1/2 binary64))
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(*.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 3/16 binary64))) (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/16 binary64)))
(*.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/8 binary64))) (pow.f64 #s(literal -2 binary64) #s(literal 1/8 binary64))) (pow.f64 (log.f64 u1) #s(literal 1/8 binary64)))
(*.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/8 binary64))) (pow.f64 (log.f64 u1) #s(literal 1/8 binary64))) (pow.f64 #s(literal -2 binary64) #s(literal 1/8 binary64)))
(*.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/8 binary64))) (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/16 binary64))) (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/16 binary64)))
(*.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 #s(literal -2 binary64) #s(literal 1/4 binary64))) (pow.f64 (log.f64 u1) #s(literal 1/8 binary64))) (pow.f64 (log.f64 u1) #s(literal 1/8 binary64)))

eval522.0ms (5.4%)

Memory
30.4MiB live, 1 003.2MiB allocated
Compiler

Compiled 118 004 to 3 193 computations (97.3% saved)

prune216.0ms (2.2%)

Memory
43.8MiB live, 429.2MiB allocated
Pruning

19 alts after pruning (19 fresh and 0 done)

PrunedKeptTotal
New3 579193 598
Fresh909
Picked505
Done000
Total3 593193 612
Accuracy
100.0%
Counts
3 612 → 19
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.2%
(fma.f64 (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/4 binary64)) (*.f64 (*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2)))) (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/4 binary64))) #s(literal 1/2 binary64))
99.1%
(fma.f64 (*.f64 (pow.f64 (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/4 binary64)) #s(literal 2 binary64)) #s(literal 1/6 binary64)) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))) #s(literal 1/2 binary64))
98.5%
(fma.f64 (*.f64 (pow.f64 (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/8 binary64)) #s(literal 4 binary64)) #s(literal 1/6 binary64)) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))) #s(literal 1/2 binary64))
▶98.0%
(fma.f64 (*.f64 (pow.f64 (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/16 binary64)) #s(literal 8 binary64)) #s(literal 1/6 binary64)) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))) #s(literal 1/2 binary64))
99.3%
(fma.f64 (*.f64 (pow.f64 (*.f64 #s(literal 4 binary64) (pow.f64 (log.f64 u1) #s(literal 2 binary64))) #s(literal 1/4 binary64)) #s(literal 1/6 binary64)) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))) #s(literal 1/2 binary64))
98.8%
(fma.f64 (*.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (log.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)))) #s(literal 1/6 binary64)) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))) #s(literal 1/2 binary64))
99.0%
(fma.f64 (*.f64 (*.f64 (sqrt.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)))) (sqrt.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))))) #s(literal 1/6 binary64)) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))) #s(literal 1/2 binary64))
99.2%
(fma.f64 (*.f64 (*.f64 (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2))) (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/8 binary64))) #s(literal 1/6 binary64)) (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 3/8 binary64)) #s(literal 1/2 binary64))
99.1%
(fma.f64 (*.f64 (sqrt.f64 (pow.f64 (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/4 binary64)) #s(literal 4 binary64))) #s(literal 1/6 binary64)) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))) #s(literal 1/2 binary64))
▶98.5%
(fma.f64 (*.f64 (sqrt.f64 (pow.f64 (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/8 binary64)) #s(literal 8 binary64))) #s(literal 1/6 binary64)) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))) #s(literal 1/2 binary64))
▶99.3%
(fma.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal 1/6 binary64)) (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2))) #s(literal 1/2 binary64))
98.9%
(fma.f64 (*.f64 (exp.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))))) #s(literal 1/6 binary64)) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))) #s(literal 1/2 binary64))
▶99.3%
(fma.f64 (*.f64 (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2))) #s(literal 1/6 binary64)) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal 1/2 binary64))
99.2%
(/.f64 (fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) (+.f64 u2 u2)))))) (*.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/36 binary64)) #s(literal -1/4 binary64)) (fma.f64 (*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2)))) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal -1/2 binary64)))
▶99.2%
(/.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) (+.f64 u2 u2)))))) (*.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/36 binary64)))) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2)))) #s(literal -1/6 binary64))))
99.2%
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2)))) #s(literal -1/6 binary64))) (-.f64 #s(literal 1/4 binary64) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) (+.f64 u2 u2)))))) (*.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/36 binary64))))))
99.3%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2)))) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal 1/2 binary64))))
99.2%
(*.f64 (fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) (+.f64 u2 u2)))))) (*.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/36 binary64)) #s(literal -1/4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2)))) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal -1/2 binary64))))
99.1%
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2)))) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal 1/2 binary64)))) #s(literal -1 binary64)))
Compiler

Compiled 950 to 728 computations (23.4% saved)

simplify353.0ms (3.7%)

Memory
-39.0MiB live, 433.2MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
✓cost-diff128
(-.f64 #s(literal 1/4 binary64) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) (+.f64 u2 u2)))))) (*.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/36 binary64))))
✓cost-diff192
(*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) (+.f64 u2 u2)))
✓cost-diff320
(*.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/36 binary64))
✓cost-diff320
(*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) (+.f64 u2 u2)))))) (*.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/36 binary64)))
✓cost-diff0
(sqrt.f64 (pow.f64 (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/8 binary64)) #s(literal 8 binary64)))
✓cost-diff0
(*.f64 (sqrt.f64 (pow.f64 (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/8 binary64)) #s(literal 8 binary64))) #s(literal 1/6 binary64))
✓cost-diff0
(fma.f64 (*.f64 (sqrt.f64 (pow.f64 (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/8 binary64)) #s(literal 8 binary64))) #s(literal 1/6 binary64)) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))) #s(literal 1/2 binary64))
✓cost-diff128
(*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))
✓cost-diff0
(pow.f64 (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/16 binary64)) #s(literal 8 binary64))
✓cost-diff0
(*.f64 (pow.f64 (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/16 binary64)) #s(literal 8 binary64)) #s(literal 1/6 binary64))
✓cost-diff0
(fma.f64 (*.f64 (pow.f64 (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/16 binary64)) #s(literal 8 binary64)) #s(literal 1/6 binary64)) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))) #s(literal 1/2 binary64))
✓cost-diff128
(*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))
✓cost-diff0
(*.f64 #s(literal -2 binary64) (log.f64 u1))
✓cost-diff0
(sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)))
✓cost-diff0
(*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal 1/6 binary64))
✓cost-diff0
(fma.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal 1/6 binary64)) (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2))) #s(literal 1/2 binary64))
✓cost-diff0
(*.f64 (PI.f64) (+.f64 u2 u2))
✓cost-diff0
(cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2)))
✓cost-diff0
(*.f64 (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2))) #s(literal 1/6 binary64))
✓cost-diff0
(fma.f64 (*.f64 (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2))) #s(literal 1/6 binary64)) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal 1/2 binary64))
Rules
12 270×accelerator-lowering-fma.f32
12 270×accelerator-lowering-fma.f64
5 424×*-lowering-*.f32
5 424×*-lowering-*.f64
1 484×times-frac
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
050461
199453
2220433
3632433
42460433
55007433
08220421
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(+ (* (* (cos (* (PI) (+ u2 u2))) 1/6) (sqrt (* -2 (log u1)))) 1/2)
(* (cos (* (PI) (+ u2 u2))) 1/6)
(cos (* (PI) (+ u2 u2)))
(* (PI) (+ u2 u2))
(PI)
(+ u2 u2)
u2
1/6
(sqrt (* -2 (log u1)))
(* -2 (log u1))
-2
(log u1)
u1
1/2
(+ (* (* (sqrt (* -2 (log u1))) 1/6) (cos (* (PI) (+ u2 u2)))) 1/2)
(* (sqrt (* -2 (log u1))) 1/6)
(sqrt (* -2 (log u1)))
(* -2 (log u1))
-2
(log u1)
u1
1/6
(cos (* (PI) (+ u2 u2)))
(* (PI) (+ u2 u2))
(PI)
(+ u2 u2)
u2
1/2
(+ (* (* (pow (pow (* -2 (log u1)) 1/16) 8) 1/6) (cos (* 2 (* (PI) u2)))) 1/2)
(* (pow (pow (* -2 (log u1)) 1/16) 8) 1/6)
(pow (pow (* -2 (log u1)) 1/16) 8)
(pow (* -2 (log u1)) 1/16)
(* -2 (log u1))
-2
(log u1)
u1
1/16
8
1/6
(cos (* 2 (* (PI) u2)))
(* 2 (* (PI) u2))
2
(* (PI) u2)
(PI)
u2
1/2
(+ (* (* (sqrt (pow (pow (* -2 (log u1)) 1/8) 8)) 1/6) (cos (* 2 (* (PI) u2)))) 1/2)
(* (sqrt (pow (pow (* -2 (log u1)) 1/8) 8)) 1/6)
(sqrt (pow (pow (* -2 (log u1)) 1/8) 8))
(pow (pow (* -2 (log u1)) 1/8) 8)
(pow (* -2 (log u1)) 1/8)
(* -2 (log u1))
-2
(log u1)
u1
1/8
8
1/6
(cos (* 2 (* (PI) u2)))
(* 2 (* (PI) u2))
2
(* (PI) u2)
(PI)
u2
1/2
(/ (- 1/4 (* (+ 1/2 (* 1/2 (cos (* 2 (* (PI) (+ u2 u2)))))) (* (* -2 (log u1)) 1/36))) (+ 1/2 (* (* (sqrt (* -2 (log u1))) (cos (* (PI) (+ u2 u2)))) -1/6)))
(- 1/4 (* (+ 1/2 (* 1/2 (cos (* 2 (* (PI) (+ u2 u2)))))) (* (* -2 (log u1)) 1/36)))
1/4
(* (+ 1/2 (* 1/2 (cos (* 2 (* (PI) (+ u2 u2)))))) (* (* -2 (log u1)) 1/36))
(+ 1/2 (* 1/2 (cos (* 2 (* (PI) (+ u2 u2))))))
1/2
(* 1/2 (cos (* 2 (* (PI) (+ u2 u2)))))
(cos (* 2 (* (PI) (+ u2 u2))))
(* 2 (* (PI) (+ u2 u2)))
2
(* (PI) (+ u2 u2))
(PI)
(+ u2 u2)
u2
(* (* -2 (log u1)) 1/36)
(* -2 (log u1))
-2
(log u1)
u1
1/36
(+ 1/2 (* (* (sqrt (* -2 (log u1))) (cos (* (PI) (+ u2 u2)))) -1/6))
(* (* (sqrt (* -2 (log u1))) (cos (* (PI) (+ u2 u2)))) -1/6)
(* (sqrt (* -2 (log u1))) (cos (* (PI) (+ u2 u2))))
(sqrt (* -2 (log u1)))
(cos (* (PI) (+ u2 u2)))
-1/6
Outputs
(+ (* (* (cos (* (PI) (+ u2 u2))) 1/6) (sqrt (* -2 (log u1)))) 1/2)
(fma.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (*.f64 (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2))) #s(literal 1/6 binary64)) #s(literal 1/2 binary64))
(* (cos (* (PI) (+ u2 u2))) 1/6)
(*.f64 (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2))) #s(literal 1/6 binary64))
(cos (* (PI) (+ u2 u2)))
(cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2)))
(* (PI) (+ u2 u2))
(*.f64 (PI.f64) (+.f64 u2 u2))
(PI)
(PI.f64)
(+ u2 u2)
(+.f64 u2 u2)
u2
1/6
#s(literal 1/6 binary64)
(sqrt (* -2 (log u1)))
(sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)))
(* -2 (log u1))
(*.f64 #s(literal -2 binary64) (log.f64 u1))
-2
#s(literal -2 binary64)
(log u1)
(log.f64 u1)
u1
1/2
#s(literal 1/2 binary64)
(+ (* (* (sqrt (* -2 (log u1))) 1/6) (cos (* (PI) (+ u2 u2)))) 1/2)
(fma.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (*.f64 (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2))) #s(literal 1/6 binary64)) #s(literal 1/2 binary64))
(* (sqrt (* -2 (log u1))) 1/6)
(*.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))))
(sqrt (* -2 (log u1)))
(sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)))
(* -2 (log u1))
(*.f64 #s(literal -2 binary64) (log.f64 u1))
-2
#s(literal -2 binary64)
(log u1)
(log.f64 u1)
u1
1/6
#s(literal 1/6 binary64)
(cos (* (PI) (+ u2 u2)))
(cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2)))
(* (PI) (+ u2 u2))
(*.f64 (PI.f64) (+.f64 u2 u2))
(PI)
(PI.f64)
(+ u2 u2)
(+.f64 u2 u2)
u2
1/2
#s(literal 1/2 binary64)
(+ (* (* (pow (pow (* -2 (log u1)) 1/16) 8) 1/6) (cos (* 2 (* (PI) u2)))) 1/2)
(fma.f64 (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2))) (*.f64 #s(literal 1/6 binary64) (pow.f64 (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/16 binary64)) #s(literal 8 binary64))) #s(literal 1/2 binary64))
(* (pow (pow (* -2 (log u1)) 1/16) 8) 1/6)
(*.f64 #s(literal 1/6 binary64) (pow.f64 (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/16 binary64)) #s(literal 8 binary64)))
(pow (pow (* -2 (log u1)) 1/16) 8)
(pow.f64 (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/16 binary64)) #s(literal 8 binary64))
(pow (* -2 (log u1)) 1/16)
(pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/16 binary64))
(* -2 (log u1))
(*.f64 #s(literal -2 binary64) (log.f64 u1))
-2
#s(literal -2 binary64)
(log u1)
(log.f64 u1)
u1
1/16
#s(literal 1/16 binary64)
8
#s(literal 8 binary64)
1/6
#s(literal 1/6 binary64)
(cos (* 2 (* (PI) u2)))
(cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2)))
(* 2 (* (PI) u2))
(*.f64 (PI.f64) (+.f64 u2 u2))
2
#s(literal 2 binary64)
(* (PI) u2)
(*.f64 (PI.f64) u2)
(PI)
(PI.f64)
u2
1/2
#s(literal 1/2 binary64)
(+ (* (* (sqrt (pow (pow (* -2 (log u1)) 1/8) 8)) 1/6) (cos (* 2 (* (PI) u2)))) 1/2)
(fma.f64 (sqrt.f64 (pow.f64 (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/8 binary64)) #s(literal 8 binary64))) (*.f64 (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2))) #s(literal 1/6 binary64)) #s(literal 1/2 binary64))
(* (sqrt (pow (pow (* -2 (log u1)) 1/8) 8)) 1/6)
(*.f64 #s(literal 1/6 binary64) (sqrt.f64 (pow.f64 (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/8 binary64)) #s(literal 8 binary64))))
(sqrt (pow (pow (* -2 (log u1)) 1/8) 8))
(sqrt.f64 (pow.f64 (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/8 binary64)) #s(literal 8 binary64)))
(pow (pow (* -2 (log u1)) 1/8) 8)
(pow.f64 (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/8 binary64)) #s(literal 8 binary64))
(pow (* -2 (log u1)) 1/8)
(pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/8 binary64))
(* -2 (log u1))
(*.f64 #s(literal -2 binary64) (log.f64 u1))
-2
#s(literal -2 binary64)
(log u1)
(log.f64 u1)
u1
1/8
#s(literal 1/8 binary64)
8
#s(literal 8 binary64)
1/6
#s(literal 1/6 binary64)
(cos (* 2 (* (PI) u2)))
(cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2)))
(* 2 (* (PI) u2))
(*.f64 (PI.f64) (+.f64 u2 u2))
2
#s(literal 2 binary64)
(* (PI) u2)
(*.f64 (PI.f64) u2)
(PI)
(PI.f64)
u2
1/2
#s(literal 1/2 binary64)
(/ (- 1/4 (* (+ 1/2 (* 1/2 (cos (* 2 (* (PI) (+ u2 u2)))))) (* (* -2 (log u1)) 1/36))) (+ 1/2 (* (* (sqrt (* -2 (log u1))) (cos (* (PI) (+ u2 u2)))) -1/6)))
(/.f64 (fma.f64 (log.f64 u1) (fma.f64 (cos.f64 (*.f64 (PI.f64) (*.f64 u2 #s(literal 4 binary64)))) #s(literal 1/36 binary64) #s(literal 1/36 binary64)) #s(literal 1/4 binary64)) (fma.f64 (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2))) (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)))
(- 1/4 (* (+ 1/2 (* 1/2 (cos (* 2 (* (PI) (+ u2 u2)))))) (* (* -2 (log u1)) 1/36)))
(fma.f64 (log.f64 u1) (fma.f64 (cos.f64 (*.f64 (PI.f64) (*.f64 u2 #s(literal 4 binary64)))) #s(literal 1/36 binary64) #s(literal 1/36 binary64)) #s(literal 1/4 binary64))
1/4
#s(literal 1/4 binary64)
(* (+ 1/2 (* 1/2 (cos (* 2 (* (PI) (+ u2 u2)))))) (* (* -2 (log u1)) 1/36))
(*.f64 (log.f64 u1) (fma.f64 (cos.f64 (*.f64 (PI.f64) (*.f64 u2 #s(literal 4 binary64)))) #s(literal -1/36 binary64) #s(literal -1/36 binary64)))
(+ 1/2 (* 1/2 (cos (* 2 (* (PI) (+ u2 u2))))))
(fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 (PI.f64) (*.f64 u2 #s(literal 4 binary64)))) #s(literal 1/2 binary64))
1/2
#s(literal 1/2 binary64)
(* 1/2 (cos (* 2 (* (PI) (+ u2 u2)))))
(*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 (PI.f64) (*.f64 u2 #s(literal 4 binary64)))))
(cos (* 2 (* (PI) (+ u2 u2))))
(cos.f64 (*.f64 (PI.f64) (*.f64 u2 #s(literal 4 binary64))))
(* 2 (* (PI) (+ u2 u2)))
(*.f64 (PI.f64) (*.f64 u2 #s(literal 4 binary64)))
2
#s(literal 2 binary64)
(* (PI) (+ u2 u2))
(*.f64 (PI.f64) (+.f64 u2 u2))
(PI)
(PI.f64)
(+ u2 u2)
(+.f64 u2 u2)
u2
(* (* -2 (log u1)) 1/36)
(*.f64 (log.f64 u1) #s(literal -1/18 binary64))
(* -2 (log u1))
(*.f64 #s(literal -2 binary64) (log.f64 u1))
-2
#s(literal -2 binary64)
(log u1)
(log.f64 u1)
u1
1/36
#s(literal 1/36 binary64)
(+ 1/2 (* (* (sqrt (* -2 (log u1))) (cos (* (PI) (+ u2 u2)))) -1/6))
(fma.f64 (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2))) (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal -1/6 binary64)) #s(literal 1/2 binary64))
(* (* (sqrt (* -2 (log u1))) (cos (* (PI) (+ u2 u2)))) -1/6)
(*.f64 (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2))) (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal -1/6 binary64)))
(* (sqrt (* -2 (log u1))) (cos (* (PI) (+ u2 u2))))
(*.f64 (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2))) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))))
(sqrt (* -2 (log u1)))
(sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)))
(cos (* (PI) (+ u2 u2)))
(cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2)))
-1/6
#s(literal -1/6 binary64)

localize218.0ms (2.3%)

Memory
-13.8MiB live, 386.6MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
✓accuracy99.7%
(*.f64 (PI.f64) (+.f64 u2 u2))
✓accuracy99.4%
(*.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2)))) #s(literal -1/6 binary64))
✓accuracy99.4%
(*.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/36 binary64))
✓accuracy99.3%
(/.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) (+.f64 u2 u2)))))) (*.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/36 binary64)))) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2)))) #s(literal -1/6 binary64))))
✓accuracy99.8%
(sqrt.f64 (pow.f64 (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/8 binary64)) #s(literal 8 binary64)))
✓accuracy99.7%
(*.f64 (PI.f64) u2)
✓accuracy99.4%
(*.f64 (sqrt.f64 (pow.f64 (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/8 binary64)) #s(literal 8 binary64))) #s(literal 1/6 binary64))
✓accuracy97.7%
(pow.f64 (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/8 binary64)) #s(literal 8 binary64))
✓accuracy99.9%
(pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/16 binary64))
✓accuracy99.7%
(*.f64 (PI.f64) u2)
✓accuracy99.4%
(*.f64 (pow.f64 (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/16 binary64)) #s(literal 8 binary64)) #s(literal 1/6 binary64))
✓accuracy98.0%
(pow.f64 (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/16 binary64)) #s(literal 8 binary64))
✓accuracy99.9%
(fma.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal 1/6 binary64)) (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2))) #s(literal 1/2 binary64))
✓accuracy99.8%
(sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)))
✓accuracy99.7%
(*.f64 (PI.f64) (+.f64 u2 u2))
✓accuracy99.4%
(*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal 1/6 binary64))
✓accuracy100.0%
(*.f64 (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2))) #s(literal 1/6 binary64))
✓accuracy99.8%
(sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)))
✓accuracy99.7%
(*.f64 (PI.f64) (+.f64 u2 u2))
✓accuracy99.4%
(fma.f64 (*.f64 (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2))) #s(literal 1/6 binary64)) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal 1/2 binary64))
Samples
115.0ms256×0valid
Compiler

Compiled 459 to 52 computations (88.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 78.0ms
ival-mult: 25.0ms (32% of total)
ival-pow: 15.0ms (19.2% of total)
const: 10.0ms (12.8% of total)
ival-add: 8.0ms (10.2% of total)
ival-log: 6.0ms (7.7% of total)
ival-cos: 5.0ms (6.4% of total)
ival-sqrt: 4.0ms (5.1% of total)
ival-div: 2.0ms (2.6% of total)
ival-pi: 1.0ms (1.3% of total)
ival-sub: 1.0ms (1.3% of total)
exact: 1.0ms (1.3% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series29.0ms (0.3%)

Memory
17.0MiB live, 58.1MiB allocated
Counts
24 → 384
Calls
Call 1
Inputs
#<alt (+ (* (* (cos (* (PI) (+ u2 u2))) 1/6) (sqrt (* -2 (log u1)))) 1/2)>
#<alt (* (cos (* (PI) (+ u2 u2))) 1/6)>
#<alt (cos (* (PI) (+ u2 u2)))>
#<alt (* (PI) (+ u2 u2))>
#<alt (+ (* (* (sqrt (* -2 (log u1))) 1/6) (cos (* (PI) (+ u2 u2)))) 1/2)>
#<alt (* (sqrt (* -2 (log u1))) 1/6)>
#<alt (sqrt (* -2 (log u1)))>
#<alt (* -2 (log u1))>
#<alt (* 2 (* (PI) u2))>
#<alt (+ (* (* (pow (pow (* -2 (log u1)) 1/16) 8) 1/6) (cos (* 2 (* (PI) u2)))) 1/2)>
#<alt (* (pow (pow (* -2 (log u1)) 1/16) 8) 1/6)>
#<alt (pow (pow (* -2 (log u1)) 1/16) 8)>
#<alt (+ (* (* (sqrt (pow (pow (* -2 (log u1)) 1/8) 8)) 1/6) (cos (* 2 (* (PI) u2)))) 1/2)>
#<alt (* (sqrt (pow (pow (* -2 (log u1)) 1/8) 8)) 1/6)>
#<alt (sqrt (pow (pow (* -2 (log u1)) 1/8) 8))>
#<alt (* (+ 1/2 (* 1/2 (cos (* 2 (* (PI) (+ u2 u2)))))) (* (* -2 (log u1)) 1/36))>
#<alt (* (* -2 (log u1)) 1/36)>
#<alt (* 2 (* (PI) (+ u2 u2)))>
#<alt (- 1/4 (* (+ 1/2 (* 1/2 (cos (* 2 (* (PI) (+ u2 u2)))))) (* (* -2 (log u1)) 1/36)))>
#<alt (* (PI) u2)>
#<alt (pow (* -2 (log u1)) 1/16)>
#<alt (pow (pow (* -2 (log u1)) 1/8) 8)>
#<alt (/ (- 1/4 (* (+ 1/2 (* 1/2 (cos (* 2 (* (PI) (+ u2 u2)))))) (* (* -2 (log u1)) 1/36))) (+ 1/2 (* (* (sqrt (* -2 (log u1))) (cos (* (PI) (+ u2 u2)))) -1/6)))>
#<alt (* (* (sqrt (* -2 (log u1))) (cos (* (PI) (+ u2 u2)))) -1/6)>
Outputs
#<alt (+ 1/2 (* 1/6 (* (sqrt (log u1)) (sqrt -2))))>
#<alt (+ 1/2 (+ (* -1/3 (* (* (pow u2 2) (* (pow (PI) 2) (sqrt -2))) (sqrt (log u1)))) (* 1/6 (* (sqrt (log u1)) (sqrt -2)))))>
#<alt (+ 1/2 (+ (* 1/6 (* (sqrt (log u1)) (sqrt -2))) (* (pow u2 2) (+ (* -1/3 (* (* (pow (PI) 2) (sqrt -2)) (sqrt (log u1)))) (* 1/9 (* (* (pow u2 2) (* (pow (PI) 4) (sqrt -2))) (sqrt (log u1))))))))>
#<alt (+ 1/2 (+ (* 1/6 (* (sqrt (log u1)) (sqrt -2))) (* (pow u2 2) (+ (* -1/3 (* (* (pow (PI) 2) (sqrt -2)) (sqrt (log u1)))) (* (pow u2 2) (+ (* -2/135 (* (* (pow u2 2) (* (pow (PI) 6) (sqrt -2))) (sqrt (log u1)))) (* 1/9 (* (* (pow (PI) 4) (sqrt -2)) (sqrt (log u1))))))))))>
#<alt (+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))))>
#<alt (+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))))>
#<alt (+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))))>
#<alt (+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))))>
#<alt (+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))))>
#<alt (+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))))>
#<alt (+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))))>
#<alt (+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))))>
#<alt (+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))))>
#<alt (+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))))>
#<alt (+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))))>
#<alt (+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))))>
#<alt (+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -2) (sqrt -1))) (sqrt (log (/ 1 u1))))))>
#<alt (+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -2) (sqrt -1))) (sqrt (log (/ 1 u1))))))>
#<alt (+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -2) (sqrt -1))) (sqrt (log (/ 1 u1))))))>
#<alt (+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -2) (sqrt -1))) (sqrt (log (/ 1 u1))))))>
#<alt (+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))))>
#<alt (+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))))>
#<alt (+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))))>
#<alt (+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))))>
#<alt 1/6>
#<alt (+ 1/6 (* -1/3 (* (pow u2 2) (pow (PI) 2))))>
#<alt (+ 1/6 (* (pow u2 2) (+ (* -1/3 (pow (PI) 2)) (* 1/9 (* (pow u2 2) (pow (PI) 4))))))>
#<alt (+ 1/6 (* (pow u2 2) (+ (* -1/3 (pow (PI) 2)) (* (pow u2 2) (+ (* -2/135 (* (pow u2 2) (pow (PI) 6))) (* 1/9 (pow (PI) 4)))))))>
#<alt (* 1/6 (cos (* 2 (* u2 (PI)))))>
#<alt (* 1/6 (cos (* 2 (* u2 (PI)))))>
#<alt (* 1/6 (cos (* 2 (* u2 (PI)))))>
#<alt (* 1/6 (cos (* 2 (* u2 (PI)))))>
#<alt (* 1/6 (cos (* 2 (* u2 (PI)))))>
#<alt (* 1/6 (cos (* 2 (* u2 (PI)))))>
#<alt (* 1/6 (cos (* 2 (* u2 (PI)))))>
#<alt (* 1/6 (cos (* 2 (* u2 (PI)))))>
#<alt 1>
#<alt (+ 1 (* -2 (* (pow u2 2) (pow (PI) 2))))>
#<alt (+ 1 (* (pow u2 2) (+ (* -2 (pow (PI) 2)) (* 2/3 (* (pow u2 2) (pow (PI) 4))))))>
#<alt (+ 1 (* (pow u2 2) (+ (* -2 (pow (PI) 2)) (* (pow u2 2) (+ (* -4/45 (* (pow u2 2) (pow (PI) 6))) (* 2/3 (pow (PI) 4)))))))>
#<alt (cos (* 2 (* u2 (PI))))>
#<alt (cos (* 2 (* u2 (PI))))>
#<alt (cos (* 2 (* u2 (PI))))>
#<alt (cos (* 2 (* u2 (PI))))>
#<alt (cos (* 2 (* u2 (PI))))>
#<alt (cos (* 2 (* u2 (PI))))>
#<alt (cos (* 2 (* u2 (PI))))>
#<alt (cos (* 2 (* u2 (PI))))>
#<alt (* 2 (* u2 (PI)))>
#<alt (* 2 (* u2 (PI)))>
#<alt (* 2 (* u2 (PI)))>
#<alt (* 2 (* u2 (PI)))>
#<alt (* 2 (* u2 (PI)))>
#<alt (* 2 (* u2 (PI)))>
#<alt (* 2 (* u2 (PI)))>
#<alt (* 2 (* u2 (PI)))>
#<alt (* 2 (* u2 (PI)))>
#<alt (* 2 (* u2 (PI)))>
#<alt (* 2 (* u2 (PI)))>
#<alt (* 2 (* u2 (PI)))>
#<alt (+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))))>
#<alt (+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))))>
#<alt (+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))))>
#<alt (+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))))>
#<alt (+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -2) (sqrt -1))) (sqrt (log (/ 1 u1))))))>
#<alt (+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -2) (sqrt -1))) (sqrt (log (/ 1 u1))))))>
#<alt (+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -2) (sqrt -1))) (sqrt (log (/ 1 u1))))))>
#<alt (+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -2) (sqrt -1))) (sqrt (log (/ 1 u1))))))>
#<alt (+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))))>
#<alt (+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))))>
#<alt (+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))))>
#<alt (+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))))>
#<alt (+ 1/2 (* 1/6 (* (sqrt (log u1)) (sqrt -2))))>
#<alt (+ 1/2 (+ (* -1/3 (* (* (pow u2 2) (* (pow (PI) 2) (sqrt -2))) (sqrt (log u1)))) (* 1/6 (* (sqrt (log u1)) (sqrt -2)))))>
#<alt (+ 1/2 (+ (* 1/6 (* (sqrt (log u1)) (sqrt -2))) (* (pow u2 2) (+ (* -1/3 (* (* (pow (PI) 2) (sqrt -2)) (sqrt (log u1)))) (* 1/9 (* (* (pow u2 2) (* (pow (PI) 4) (sqrt -2))) (sqrt (log u1))))))))>
#<alt (+ 1/2 (+ (* 1/6 (* (sqrt (log u1)) (sqrt -2))) (* (pow u2 2) (+ (* -1/3 (* (* (pow (PI) 2) (sqrt -2)) (sqrt (log u1)))) (* (pow u2 2) (+ (* -2/135 (* (* (pow u2 2) (* (pow (PI) 6) (sqrt -2))) (sqrt (log u1)))) (* 1/9 (* (* (pow (PI) 4) (sqrt -2)) (sqrt (log u1))))))))))>
#<alt (+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))))>
#<alt (+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))))>
#<alt (+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))))>
#<alt (+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))))>
#<alt (+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))))>
#<alt (+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))))>
#<alt (+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))))>
#<alt (+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))))>
#<alt (* 1/6 (* (sqrt (log u1)) (sqrt -2)))>
#<alt (* 1/6 (* (sqrt (log u1)) (sqrt -2)))>
#<alt (* 1/6 (* (sqrt (log u1)) (sqrt -2)))>
#<alt (* 1/6 (* (sqrt (log u1)) (sqrt -2)))>
#<alt (* 1/6 (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1))))>
#<alt (* 1/6 (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1))))>
#<alt (* 1/6 (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1))))>
#<alt (* 1/6 (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1))))>
#<alt (* 1/6 (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))))>
#<alt (* 1/6 (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))))>
#<alt (* 1/6 (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))))>
#<alt (* 1/6 (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))))>
#<alt (* (sqrt (log u1)) (sqrt -2))>
#<alt (* (sqrt (log u1)) (sqrt -2))>
#<alt (* (sqrt (log u1)) (sqrt -2))>
#<alt (* (sqrt (log u1)) (sqrt -2))>
#<alt (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1)))>
#<alt (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1)))>
#<alt (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1)))>
#<alt (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1)))>
#<alt (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))>
#<alt (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))>
#<alt (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))>
#<alt (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))>
#<alt (* -2 (log u1))>
#<alt (* -2 (log u1))>
#<alt (* -2 (log u1))>
#<alt (* -2 (log u1))>
#<alt (* 2 (log (/ 1 u1)))>
#<alt (* 2 (log (/ 1 u1)))>
#<alt (* 2 (log (/ 1 u1)))>
#<alt (* 2 (log (/ 1 u1)))>
#<alt (* -2 (+ (log -1) (* -1 (log (/ -1 u1)))))>
#<alt (* -2 (+ (log -1) (* -1 (log (/ -1 u1)))))>
#<alt (* -2 (+ (log -1) (* -1 (log (/ -1 u1)))))>
#<alt (* -2 (+ (log -1) (* -1 (log (/ -1 u1)))))>
#<alt (* 2 (* u2 (PI)))>
#<alt (* 2 (* u2 (PI)))>
#<alt (* 2 (* u2 (PI)))>
#<alt (* 2 (* u2 (PI)))>
#<alt (* 2 (* u2 (PI)))>
#<alt (* 2 (* u2 (PI)))>
#<alt (* 2 (* u2 (PI)))>
#<alt (* 2 (* u2 (PI)))>
#<alt (* 2 (* u2 (PI)))>
#<alt (* 2 (* u2 (PI)))>
#<alt (* 2 (* u2 (PI)))>
#<alt (* 2 (* u2 (PI)))>
#<alt (+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))))>
#<alt (+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))))>
#<alt (+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))))>
#<alt (+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))))>
#<alt (+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -2) (sqrt -1))) (sqrt (log (/ 1 u1))))))>
#<alt (+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -2) (sqrt -1))) (sqrt (log (/ 1 u1))))))>
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#<alt (- (+ (* (pow u2 2) (- (+ (* -2/9 (/ (* (pow (PI) 2) (log u1)) (+ 1/2 (* -1/6 (* (sqrt (log u1)) (sqrt -2)))))) (* (pow u2 2) (- (+ (* 8/27 (/ (* (pow (PI) 4) (log u1)) (+ 1/2 (* -1/6 (* (sqrt (log u1)) (sqrt -2)))))) (* (pow u2 2) (- (* -64/405 (/ (* (pow (PI) 6) (log u1)) (+ 1/2 (* -1/6 (* (sqrt (log u1)) (sqrt -2)))))) (+ (* -1/9 (* (/ (* (pow (PI) 4) (* (sqrt -2) (- (* -2/9 (/ (* (pow (PI) 2) (log u1)) (+ 1/2 (* -1/6 (* (sqrt (log u1)) (sqrt -2)))))) (* 1/3 (* (/ (* (pow (PI) 2) (* (sqrt -2) (- 1/4 (* -1/18 (log u1))))) (pow (+ 1/2 (* -1/6 (* (sqrt (log u1)) (sqrt -2)))) 2)) (sqrt (log u1))))))) (+ 1/2 (* -1/6 (* (sqrt (log u1)) (sqrt -2))))) (sqrt (log u1)))) (+ (* 2/135 (* (/ (* (pow (PI) 6) (* (sqrt -2) (- 1/4 (* -1/18 (log u1))))) (pow (+ 1/2 (* -1/6 (* (sqrt (log u1)) (sqrt -2)))) 2)) (sqrt (log u1)))) (* 1/3 (* (/ (* (pow (PI) 2) (* (sqrt -2) (- (* 8/27 (/ (* (pow (PI) 4) (log u1)) (+ 1/2 (* -1/6 (* (sqrt (log u1)) (sqrt -2)))))) (+ (* -1/9 (* (/ (* (pow (PI) 4) (* (sqrt -2) (- 1/4 (* -1/18 (log u1))))) (pow (+ 1/2 (* -1/6 (* (sqrt (log u1)) (sqrt -2)))) 2)) (sqrt (log u1)))) (* 1/3 (* (/ (* (pow (PI) 2) (* (sqrt -2) (- (* -2/9 (/ (* (pow (PI) 2) (log u1)) (+ 1/2 (* -1/6 (* (sqrt (log u1)) (sqrt -2)))))) (* 1/3 (* (/ (* (pow (PI) 2) (* (sqrt -2) (- 1/4 (* -1/18 (log u1))))) (pow (+ 1/2 (* -1/6 (* (sqrt (log u1)) (sqrt -2)))) 2)) (sqrt (log u1))))))) (+ 1/2 (* -1/6 (* (sqrt (log u1)) (sqrt -2))))) (sqrt (log u1)))))))) (+ 1/2 (* -1/6 (* (sqrt (log u1)) (sqrt -2))))) (sqrt (log u1))))))))) (+ (* -1/9 (* (/ (* (pow (PI) 4) (* (sqrt -2) (- 1/4 (* -1/18 (log u1))))) (pow (+ 1/2 (* -1/6 (* (sqrt (log u1)) (sqrt -2)))) 2)) (sqrt (log u1)))) (* 1/3 (* (/ (* (pow (PI) 2) (* (sqrt -2) (- (* -2/9 (/ (* (pow (PI) 2) (log u1)) (+ 1/2 (* -1/6 (* (sqrt (log u1)) (sqrt -2)))))) (* 1/3 (* (/ (* (pow (PI) 2) (* (sqrt -2) (- 1/4 (* -1/18 (log u1))))) (pow (+ 1/2 (* -1/6 (* (sqrt (log u1)) (sqrt -2)))) 2)) (sqrt (log u1))))))) (+ 1/2 (* -1/6 (* (sqrt (log u1)) (sqrt -2))))) (sqrt (log u1)))))))) (* 1/3 (* (/ (* (pow (PI) 2) (* (sqrt -2) (- 1/4 (* -1/18 (log u1))))) (pow (+ 1/2 (* -1/6 (* (sqrt (log u1)) (sqrt -2)))) 2)) (sqrt (log u1)))))) (* 1/4 (/ 1 (+ 1/2 (* -1/6 (* (sqrt (log u1)) (sqrt -2))))))) (* -1/18 (/ (log u1) (+ 1/2 (* -1/6 (* (sqrt (log u1)) (sqrt -2)))))))>
#<alt (/ (- 1/4 (* -1/18 (* (log u1) (+ 1/2 (* 1/2 (cos (* 4 (* u2 (PI))))))))) (+ 1/2 (* -1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1))))))>
#<alt (/ (- 1/4 (* -1/18 (* (log u1) (+ 1/2 (* 1/2 (cos (* 4 (* u2 (PI))))))))) (+ 1/2 (* -1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1))))))>
#<alt (/ (- 1/4 (* -1/18 (* (log u1) (+ 1/2 (* 1/2 (cos (* 4 (* u2 (PI))))))))) (+ 1/2 (* -1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1))))))>
#<alt (/ (- 1/4 (* -1/18 (* (log u1) (+ 1/2 (* 1/2 (cos (* 4 (* u2 (PI))))))))) (+ 1/2 (* -1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1))))))>
#<alt (/ (- 1/4 (* -1/18 (* (log u1) (+ 1/2 (* 1/2 (cos (* 4 (* u2 (PI))))))))) (+ 1/2 (* -1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1))))))>
#<alt (/ (- 1/4 (* -1/18 (* (log u1) (+ 1/2 (* 1/2 (cos (* 4 (* u2 (PI))))))))) (+ 1/2 (* -1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1))))))>
#<alt (/ (- 1/4 (* -1/18 (* (log u1) (+ 1/2 (* 1/2 (cos (* 4 (* u2 (PI))))))))) (+ 1/2 (* -1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1))))))>
#<alt (/ (- 1/4 (* -1/18 (* (log u1) (+ 1/2 (* 1/2 (cos (* 4 (* u2 (PI))))))))) (+ 1/2 (* -1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1))))))>
#<alt (/ (- 1/4 (* -1/18 (* (log u1) (+ 1/2 (* 1/2 (cos (* 4 (* u2 (PI))))))))) (+ 1/2 (* -1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1))))))>
#<alt (/ (- 1/4 (* -1/18 (* (log u1) (+ 1/2 (* 1/2 (cos (* 4 (* u2 (PI))))))))) (+ 1/2 (* -1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1))))))>
#<alt (/ (- 1/4 (* -1/18 (* (log u1) (+ 1/2 (* 1/2 (cos (* 4 (* u2 (PI))))))))) (+ 1/2 (* -1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1))))))>
#<alt (/ (- 1/4 (* -1/18 (* (log u1) (+ 1/2 (* 1/2 (cos (* 4 (* u2 (PI))))))))) (+ 1/2 (* -1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1))))))>
#<alt (/ (- 1/4 (* 1/18 (* (log (/ 1 u1)) (+ 1/2 (* 1/2 (cos (* 4 (* u2 (PI))))))))) (+ 1/2 (* -1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -2) (sqrt -1))) (sqrt (log (/ 1 u1)))))))>
#<alt (/ (- 1/4 (* 1/18 (* (log (/ 1 u1)) (+ 1/2 (* 1/2 (cos (* 4 (* u2 (PI))))))))) (+ 1/2 (* -1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -2) (sqrt -1))) (sqrt (log (/ 1 u1)))))))>
#<alt (/ (- 1/4 (* 1/18 (* (log (/ 1 u1)) (+ 1/2 (* 1/2 (cos (* 4 (* u2 (PI))))))))) (+ 1/2 (* -1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -2) (sqrt -1))) (sqrt (log (/ 1 u1)))))))>
#<alt (/ (- 1/4 (* 1/18 (* (log (/ 1 u1)) (+ 1/2 (* 1/2 (cos (* 4 (* u2 (PI))))))))) (+ 1/2 (* -1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -2) (sqrt -1))) (sqrt (log (/ 1 u1)))))))>
#<alt (/ (- 1/4 (* -1/18 (* (+ 1/2 (* 1/2 (cos (* 4 (* u2 (PI)))))) (+ (log -1) (* -1 (log (/ -1 u1))))))) (+ 1/2 (* -1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))))))>
#<alt (/ (- 1/4 (* -1/18 (* (+ 1/2 (* 1/2 (cos (* 4 (* u2 (PI)))))) (+ (log -1) (* -1 (log (/ -1 u1))))))) (+ 1/2 (* -1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))))))>
#<alt (/ (- 1/4 (* -1/18 (* (+ 1/2 (* 1/2 (cos (* 4 (* u2 (PI)))))) (+ (log -1) (* -1 (log (/ -1 u1))))))) (+ 1/2 (* -1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))))))>
#<alt (/ (- 1/4 (* -1/18 (* (+ 1/2 (* 1/2 (cos (* 4 (* u2 (PI)))))) (+ (log -1) (* -1 (log (/ -1 u1))))))) (+ 1/2 (* -1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))))))>
#<alt (* -1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1))))>
#<alt (* -1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1))))>
#<alt (* -1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1))))>
#<alt (* -1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1))))>
#<alt (* -1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -2) (sqrt -1))) (sqrt (log (/ 1 u1)))))>
#<alt (* -1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -2) (sqrt -1))) (sqrt (log (/ 1 u1)))))>
#<alt (* -1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -2) (sqrt -1))) (sqrt (log (/ 1 u1)))))>
#<alt (* -1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -2) (sqrt -1))) (sqrt (log (/ 1 u1)))))>
#<alt (* -1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))))>
#<alt (* -1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))))>
#<alt (* -1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))))>
#<alt (* -1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))))>
#<alt (* -1/6 (* (sqrt (log u1)) (sqrt -2)))>
#<alt (+ (* -1/6 (* (sqrt (log u1)) (sqrt -2))) (* 1/3 (* (* (pow u2 2) (* (pow (PI) 2) (sqrt -2))) (sqrt (log u1)))))>
#<alt (+ (* -1/6 (* (sqrt (log u1)) (sqrt -2))) (* (pow u2 2) (+ (* -1/9 (* (* (pow u2 2) (* (pow (PI) 4) (sqrt -2))) (sqrt (log u1)))) (* 1/3 (* (* (pow (PI) 2) (sqrt -2)) (sqrt (log u1)))))))>
#<alt (+ (* -1/6 (* (sqrt (log u1)) (sqrt -2))) (* (pow u2 2) (+ (* 1/3 (* (* (pow (PI) 2) (sqrt -2)) (sqrt (log u1)))) (* (pow u2 2) (+ (* -1/9 (* (* (pow (PI) 4) (sqrt -2)) (sqrt (log u1)))) (* 2/135 (* (* (pow u2 2) (* (pow (PI) 6) (sqrt -2))) (sqrt (log u1)))))))))>
#<alt (* -1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1))))>
#<alt (* -1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1))))>
#<alt (* -1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1))))>
#<alt (* -1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1))))>
#<alt (* -1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1))))>
#<alt (* -1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1))))>
#<alt (* -1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1))))>
#<alt (* -1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1))))>
Calls

96 calls:

TimeVariablePointExpression
4.0ms
u1
@-inf
(pow (* -2 (log u1)) 1/16)
3.0ms
u2
@0
(/ (- 1/4 (* (+ 1/2 (* 1/2 (cos (* 2 (* (PI) (+ u2 u2)))))) (* (* -2 (log u1)) 1/36))) (+ 1/2 (* (* (sqrt (* -2 (log u1))) (cos (* (PI) (+ u2 u2)))) -1/6)))
1.0ms
u1
@0
(* (+ 1/2 (* 1/2 (cos (* 2 (* (PI) (+ u2 u2)))))) (* (* -2 (log u1)) 1/36))
1.0ms
u1
@-inf
(/ (- 1/4 (* (+ 1/2 (* 1/2 (cos (* 2 (* (PI) (+ u2 u2)))))) (* (* -2 (log u1)) 1/36))) (+ 1/2 (* (* (sqrt (* -2 (log u1))) (cos (* (PI) (+ u2 u2)))) -1/6)))
1.0ms
u1
@inf
(/ (- 1/4 (* (+ 1/2 (* 1/2 (cos (* 2 (* (PI) (+ u2 u2)))))) (* (* -2 (log u1)) 1/36))) (+ 1/2 (* (* (sqrt (* -2 (log u1))) (cos (* (PI) (+ u2 u2)))) -1/6)))

rewrite440.0ms (4.6%)

Memory
17.6MiB live, 722.5MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
4 648×*-lowering-*.f32
4 648×*-lowering-*.f64
3 858×accelerator-lowering-fma.f32
3 858×accelerator-lowering-fma.f64
3 832×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
050224
1255210
21758210
08694205
Stop Event
1×iter limit
1×node limit
Counts
24 → 1 295
Calls
Call 1
Inputs
(+ (* (* (cos (* (PI) (+ u2 u2))) 1/6) (sqrt (* -2 (log u1)))) 1/2)
(* (cos (* (PI) (+ u2 u2))) 1/6)
(cos (* (PI) (+ u2 u2)))
(* (PI) (+ u2 u2))
(+ (* (* (sqrt (* -2 (log u1))) 1/6) (cos (* (PI) (+ u2 u2)))) 1/2)
(* (sqrt (* -2 (log u1))) 1/6)
(sqrt (* -2 (log u1)))
(* -2 (log u1))
(* 2 (* (PI) u2))
(+ (* (* (pow (pow (* -2 (log u1)) 1/16) 8) 1/6) (cos (* 2 (* (PI) u2)))) 1/2)
(* (pow (pow (* -2 (log u1)) 1/16) 8) 1/6)
(pow (pow (* -2 (log u1)) 1/16) 8)
(+ (* (* (sqrt (pow (pow (* -2 (log u1)) 1/8) 8)) 1/6) (cos (* 2 (* (PI) u2)))) 1/2)
(* (sqrt (pow (pow (* -2 (log u1)) 1/8) 8)) 1/6)
(sqrt (pow (pow (* -2 (log u1)) 1/8) 8))
(* (+ 1/2 (* 1/2 (cos (* 2 (* (PI) (+ u2 u2)))))) (* (* -2 (log u1)) 1/36))
(* (* -2 (log u1)) 1/36)
(* 2 (* (PI) (+ u2 u2)))
(- 1/4 (* (+ 1/2 (* 1/2 (cos (* 2 (* (PI) (+ u2 u2)))))) (* (* -2 (log u1)) 1/36)))
(* (PI) u2)
(pow (* -2 (log u1)) 1/16)
(pow (pow (* -2 (log u1)) 1/8) 8)
(/ (- 1/4 (* (+ 1/2 (* 1/2 (cos (* 2 (* (PI) (+ u2 u2)))))) (* (* -2 (log u1)) 1/36))) (+ 1/2 (* (* (sqrt (* -2 (log u1))) (cos (* (PI) (+ u2 u2)))) -1/6)))
(* (* (sqrt (* -2 (log u1))) (cos (* (PI) (+ u2 u2)))) -1/6)
Outputs
(+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2))) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))))))
(+.f64 #s(literal 1/2 binary64) (neg.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (*.f64 (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2))) #s(literal -1/6 binary64)))))
(+.f64 #s(literal 1/2 binary64) (*.f64 (neg.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)))) (*.f64 (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2))) #s(literal -1/6 binary64))))
(+.f64 #s(literal 1/2 binary64) (*.f64 (neg.f64 (*.f64 (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2))) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))))) #s(literal -1/6 binary64)))
(+.f64 (*.f64 (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2))) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))))) #s(literal 1/2 binary64))
(+.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (*.f64 (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2))) #s(literal -1/6 binary64)) #s(literal 1/2 binary64))) (neg.f64 (/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 (*.f64 (PI.f64) (+.f64 u2 u2)) #s(literal 2 binary64))) #s(literal 1/2 binary64)) (*.f64 (log.f64 u1) #s(literal -1/18 binary64))) (fma.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (*.f64 (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2))) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)))))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2))) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)))) #s(literal 1/2 binary64)))) #s(literal -1 binary64)))
(-.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (*.f64 (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2))) #s(literal -1/6 binary64))))
(-.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (*.f64 (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2))) #s(literal -1/6 binary64)) #s(literal 1/2 binary64))) (/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 (*.f64 (PI.f64) (+.f64 u2 u2)) #s(literal 2 binary64))) #s(literal 1/2 binary64)) (*.f64 (log.f64 u1) #s(literal -1/18 binary64))) (fma.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (*.f64 (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2))) #s(literal -1/6 binary64)) #s(literal 1/2 binary64))))
(-.f64 (/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 (*.f64 (PI.f64) (+.f64 u2 u2)) #s(literal 2 binary64))) #s(literal 1/2 binary64)) (*.f64 (log.f64 u1) #s(literal -1/18 binary64))) (fma.f64 (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2))) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)))) #s(literal -1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (fma.f64 (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2))) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)))) #s(literal -1/2 binary64))))
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(*.f64 (pow.f64 (/.f64 (fma.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (*.f64 (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2))) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) (-.f64 #s(literal 1/16 binary64) (pow.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 (*.f64 (PI.f64) (+.f64 u2 u2)) #s(literal 2 binary64))) #s(literal 1/2 binary64)) (*.f64 (log.f64 u1) #s(literal -1/18 binary64))) #s(literal 2 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 (*.f64 (PI.f64) (+.f64 u2 u2)) #s(literal 2 binary64))) #s(literal 1/2 binary64)) (*.f64 (log.f64 u1) #s(literal -1/18 binary64)) #s(literal 1/4 binary64))))
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(*.f64 (/.f64 (-.f64 #s(literal 1/64 binary64) (pow.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 (*.f64 (PI.f64) (+.f64 u2 u2)) #s(literal 2 binary64))) #s(literal 1/2 binary64)) (*.f64 (log.f64 u1) #s(literal -1/18 binary64))) #s(literal 3 binary64))) (-.f64 #s(literal 1/4 binary64) (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 (*.f64 (PI.f64) (+.f64 u2 u2)) #s(literal 2 binary64))) #s(literal 1/2 binary64)) (*.f64 (log.f64 u1) #s(literal -1/18 binary64))))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 (*.f64 (PI.f64) (+.f64 u2 u2)) #s(literal 2 binary64))) #s(literal 1/2 binary64)) (*.f64 (log.f64 u1) #s(literal -1/18 binary64))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 (*.f64 (PI.f64) (+.f64 u2 u2)) #s(literal 2 binary64))) #s(literal 1/2 binary64)) (*.f64 (log.f64 u1) #s(literal -1/18 binary64)) #s(literal 1/4 binary64)) #s(literal 1/16 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2))) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)))) #s(literal 1/2 binary64)))))
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(*.f64 (*.f64 (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2))) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)))) #s(literal -1/6 binary64))
(*.f64 #s(literal -1/6 binary64) (*.f64 (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2))) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)))))
(*.f64 (sqrt.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)))) (*.f64 (sqrt.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)))) (*.f64 (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2))) #s(literal -1/6 binary64))))
(*.f64 (*.f64 (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2))) #s(literal -1/6 binary64)) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))))
(*.f64 (sqrt.f64 #s(literal -2 binary64)) (*.f64 (sqrt.f64 (log.f64 u1)) (*.f64 (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2))) #s(literal -1/6 binary64))))
(*.f64 (*.f64 #s(literal -1/6 binary64) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)))) (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2))))

simplify555.0ms (5.8%)

Memory
14.8MiB live, 822.7MiB allocated
Algorithm
1×egg-herbie
Rules
2×1-exp
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0128963241
1129063241
0129063241
Stop Event
1×saturated
1×saturated
Counts
1 295 → 1 295
Calls
Call 1
Inputs
(+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2))) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))))))
(+.f64 #s(literal 1/2 binary64) (neg.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (*.f64 (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2))) #s(literal -1/6 binary64)))))
(+.f64 #s(literal 1/2 binary64) (*.f64 (neg.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)))) (*.f64 (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2))) #s(literal -1/6 binary64))))
(+.f64 #s(literal 1/2 binary64) (*.f64 (neg.f64 (*.f64 (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2))) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))))) #s(literal -1/6 binary64)))
(+.f64 (*.f64 (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2))) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))))) #s(literal 1/2 binary64))
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(-.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (*.f64 (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2))) #s(literal -1/6 binary64))))
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(*.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 (*.f64 (PI.f64) (+.f64 u2 u2)) #s(literal 2 binary64))) #s(literal 1/2 binary64)) (*.f64 (log.f64 u1) #s(literal -1/18 binary64)) #s(literal 1/4 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 (*.f64 (PI.f64) (+.f64 u2 u2)) #s(literal 2 binary64))) #s(literal 1/2 binary64)) (*.f64 (log.f64 u1) #s(literal -1/18 binary64)) #s(literal 1/4 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2))) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)))) #s(literal 1/2 binary64)))))
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(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (*.f64 (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2))) #s(literal -1/6 binary64)) #s(literal 1/2 binary64))) (-.f64 #s(literal 1/4 binary64) (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 (*.f64 (PI.f64) (+.f64 u2 u2)) #s(literal 2 binary64))) #s(literal 1/2 binary64)) (*.f64 (log.f64 u1) #s(literal -1/18 binary64)))))
(*.f64 (/.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 (*.f64 (PI.f64) (+.f64 u2 u2)) #s(literal 2 binary64))) #s(literal 1/2 binary64)) (*.f64 (log.f64 u1) #s(literal -1/18 binary64)))) (+.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 (*.f64 (PI.f64) (+.f64 u2 u2)) #s(literal 2 binary64))) #s(literal 1/2 binary64)) (*.f64 (log.f64 u1) #s(literal -1/18 binary64))) #s(literal 3/2 binary64)))) (-.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 (*.f64 (PI.f64) (+.f64 u2 u2)) #s(literal 2 binary64))) #s(literal 1/2 binary64)) (*.f64 (log.f64 u1) #s(literal -1/18 binary64)) #s(literal 1/4 binary64)) (*.f64 #s(literal -1/12 binary64) (*.f64 (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2))) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)))))))
(*.f64 (/.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 (*.f64 (PI.f64) (+.f64 u2 u2)) #s(literal 2 binary64))) #s(literal 1/2 binary64)) (*.f64 (log.f64 u1) #s(literal -1/18 binary64)))) (+.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 (*.f64 (PI.f64) (+.f64 u2 u2)) #s(literal 2 binary64))) #s(literal 1/2 binary64)) (*.f64 (log.f64 u1) #s(literal -1/18 binary64))) #s(literal 3/2 binary64)))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 (*.f64 (PI.f64) (+.f64 u2 u2)) #s(literal 2 binary64))) #s(literal 1/2 binary64)) (*.f64 (log.f64 u1) #s(literal -1/18 binary64)) #s(literal 1/4 binary64)) (*.f64 #s(literal -1/12 binary64) (*.f64 (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2))) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)))))))))
(*.f64 (/.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 (*.f64 (PI.f64) (+.f64 u2 u2)) #s(literal 2 binary64))) #s(literal 1/2 binary64)) (*.f64 (log.f64 u1) #s(literal -1/18 binary64)))) (-.f64 #s(literal 1/4 binary64) (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 (*.f64 (PI.f64) (+.f64 u2 u2)) #s(literal 2 binary64))) #s(literal 1/2 binary64)) (*.f64 (log.f64 u1) #s(literal -1/18 binary64))))) (fma.f64 (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2))) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)))) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (/.f64 (fma.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (*.f64 (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2))) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) (-.f64 #s(literal 1/64 binary64) (pow.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 (*.f64 (PI.f64) (+.f64 u2 u2)) #s(literal 2 binary64))) #s(literal 1/2 binary64)) (*.f64 (log.f64 u1) #s(literal -1/18 binary64))) #s(literal 3 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 (*.f64 (PI.f64) (+.f64 u2 u2)) #s(literal 2 binary64))) #s(literal 1/2 binary64)) (*.f64 (log.f64 u1) #s(literal -1/18 binary64))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 (*.f64 (PI.f64) (+.f64 u2 u2)) #s(literal 2 binary64))) #s(literal 1/2 binary64)) (*.f64 (log.f64 u1) #s(literal -1/18 binary64)) #s(literal 1/4 binary64)) #s(literal 1/16 binary64))))
(*.f64 (pow.f64 (/.f64 (fma.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (*.f64 (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2))) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) (-.f64 #s(literal 1/16 binary64) (pow.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 (*.f64 (PI.f64) (+.f64 u2 u2)) #s(literal 2 binary64))) #s(literal 1/2 binary64)) (*.f64 (log.f64 u1) #s(literal -1/18 binary64))) #s(literal 2 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 (*.f64 (PI.f64) (+.f64 u2 u2)) #s(literal 2 binary64))) #s(literal 1/2 binary64)) (*.f64 (log.f64 u1) #s(literal -1/18 binary64)) #s(literal 1/4 binary64))))
(*.f64 (/.f64 (-.f64 #s(literal 1/64 binary64) (pow.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 (*.f64 (PI.f64) (+.f64 u2 u2)) #s(literal 2 binary64))) #s(literal 1/2 binary64)) (*.f64 (log.f64 u1) #s(literal -1/18 binary64))) #s(literal 3 binary64))) (+.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 (*.f64 (PI.f64) (+.f64 u2 u2)) #s(literal 2 binary64))) #s(literal 1/2 binary64)) (*.f64 (log.f64 u1) #s(literal -1/18 binary64))) #s(literal 3/2 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 (*.f64 (PI.f64) (+.f64 u2 u2)) #s(literal 2 binary64))) #s(literal 1/2 binary64)) (*.f64 (log.f64 u1) #s(literal -1/18 binary64))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 (*.f64 (PI.f64) (+.f64 u2 u2)) #s(literal 2 binary64))) #s(literal 1/2 binary64)) (*.f64 (log.f64 u1) #s(literal -1/18 binary64)) #s(literal 1/4 binary64)) #s(literal 1/16 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 (*.f64 (PI.f64) (+.f64 u2 u2)) #s(literal 2 binary64))) #s(literal 1/2 binary64)) (*.f64 (log.f64 u1) #s(literal -1/18 binary64)) #s(literal 1/4 binary64)) (*.f64 #s(literal -1/12 binary64) (*.f64 (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2))) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)))))))))
(*.f64 (/.f64 (-.f64 #s(literal 1/64 binary64) (pow.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 (*.f64 (PI.f64) (+.f64 u2 u2)) #s(literal 2 binary64))) #s(literal 1/2 binary64)) (*.f64 (log.f64 u1) #s(literal -1/18 binary64))) #s(literal 3 binary64))) (-.f64 #s(literal 1/4 binary64) (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 (*.f64 (PI.f64) (+.f64 u2 u2)) #s(literal 2 binary64))) #s(literal 1/2 binary64)) (*.f64 (log.f64 u1) #s(literal -1/18 binary64))))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 (*.f64 (PI.f64) (+.f64 u2 u2)) #s(literal 2 binary64))) #s(literal 1/2 binary64)) (*.f64 (log.f64 u1) #s(literal -1/18 binary64))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 (*.f64 (PI.f64) (+.f64 u2 u2)) #s(literal 2 binary64))) #s(literal 1/2 binary64)) (*.f64 (log.f64 u1) #s(literal -1/18 binary64)) #s(literal 1/4 binary64)) #s(literal 1/16 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2))) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)))) #s(literal 1/2 binary64)))))
(*.f64 (/.f64 (-.f64 #s(literal 1/16 binary64) (pow.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 (*.f64 (PI.f64) (+.f64 u2 u2)) #s(literal 2 binary64))) #s(literal 1/2 binary64)) (*.f64 (log.f64 u1) #s(literal -1/18 binary64))) #s(literal 2 binary64))) (+.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 (*.f64 (PI.f64) (+.f64 u2 u2)) #s(literal 2 binary64))) #s(literal 1/2 binary64)) (*.f64 (log.f64 u1) #s(literal -1/18 binary64))) #s(literal 3/2 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 (*.f64 (PI.f64) (+.f64 u2 u2)) #s(literal 2 binary64))) #s(literal 1/2 binary64)) (*.f64 (log.f64 u1) #s(literal -1/18 binary64)) #s(literal 1/4 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 (*.f64 (PI.f64) (+.f64 u2 u2)) #s(literal 2 binary64))) #s(literal 1/2 binary64)) (*.f64 (log.f64 u1) #s(literal -1/18 binary64)) #s(literal 1/4 binary64)) (*.f64 #s(literal -1/12 binary64) (*.f64 (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2))) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)))))))))
(*.f64 (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2))) (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal -1/6 binary64)))
(*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (*.f64 (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2))) #s(literal -1/6 binary64)))
(*.f64 (*.f64 (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2))) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)))) #s(literal -1/6 binary64))
(*.f64 #s(literal -1/6 binary64) (*.f64 (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2))) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)))))
(*.f64 (sqrt.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)))) (*.f64 (sqrt.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)))) (*.f64 (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2))) #s(literal -1/6 binary64))))
(*.f64 (*.f64 (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2))) #s(literal -1/6 binary64)) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))))
(*.f64 (sqrt.f64 #s(literal -2 binary64)) (*.f64 (sqrt.f64 (log.f64 u1)) (*.f64 (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2))) #s(literal -1/6 binary64))))
(*.f64 (*.f64 #s(literal -1/6 binary64) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)))) (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2))))
Outputs
(+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2))) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))))))
(+.f64 #s(literal 1/2 binary64) (neg.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (*.f64 (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2))) #s(literal -1/6 binary64)))))
(+.f64 #s(literal 1/2 binary64) (*.f64 (neg.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)))) (*.f64 (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2))) #s(literal -1/6 binary64))))
(+.f64 #s(literal 1/2 binary64) (*.f64 (neg.f64 (*.f64 (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2))) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))))) #s(literal -1/6 binary64)))
(+.f64 (*.f64 (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2))) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))))) #s(literal 1/2 binary64))
(+.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (*.f64 (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2))) #s(literal -1/6 binary64)) #s(literal 1/2 binary64))) (neg.f64 (/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 (*.f64 (PI.f64) (+.f64 u2 u2)) #s(literal 2 binary64))) #s(literal 1/2 binary64)) (*.f64 (log.f64 u1) #s(literal -1/18 binary64))) (fma.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (*.f64 (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2))) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)))))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2))) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)))) #s(literal 1/2 binary64)))) #s(literal -1 binary64)))
(-.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (*.f64 (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2))) #s(literal -1/6 binary64))))
(-.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (*.f64 (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2))) #s(literal -1/6 binary64)) #s(literal 1/2 binary64))) (/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 (*.f64 (PI.f64) (+.f64 u2 u2)) #s(literal 2 binary64))) #s(literal 1/2 binary64)) (*.f64 (log.f64 u1) #s(literal -1/18 binary64))) (fma.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (*.f64 (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2))) #s(literal -1/6 binary64)) #s(literal 1/2 binary64))))
(-.f64 (/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 (*.f64 (PI.f64) (+.f64 u2 u2)) #s(literal 2 binary64))) #s(literal 1/2 binary64)) (*.f64 (log.f64 u1) #s(literal -1/18 binary64))) (fma.f64 (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2))) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)))) #s(literal -1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (fma.f64 (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2))) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)))) #s(literal -1/2 binary64))))
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(*.f64 (/.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 (*.f64 (PI.f64) (+.f64 u2 u2)) #s(literal 2 binary64))) #s(literal 1/2 binary64)) (*.f64 (log.f64 u1) #s(literal -1/18 binary64)))) (+.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 (*.f64 (PI.f64) (+.f64 u2 u2)) #s(literal 2 binary64))) #s(literal 1/2 binary64)) (*.f64 (log.f64 u1) #s(literal -1/18 binary64))) #s(literal 3/2 binary64)))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 (*.f64 (PI.f64) (+.f64 u2 u2)) #s(literal 2 binary64))) #s(literal 1/2 binary64)) (*.f64 (log.f64 u1) #s(literal -1/18 binary64)) #s(literal 1/4 binary64)) (*.f64 #s(literal -1/12 binary64) (*.f64 (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2))) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)))))))))
(*.f64 (/.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 (*.f64 (PI.f64) (+.f64 u2 u2)) #s(literal 2 binary64))) #s(literal 1/2 binary64)) (*.f64 (log.f64 u1) #s(literal -1/18 binary64)))) (-.f64 #s(literal 1/4 binary64) (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 (*.f64 (PI.f64) (+.f64 u2 u2)) #s(literal 2 binary64))) #s(literal 1/2 binary64)) (*.f64 (log.f64 u1) #s(literal -1/18 binary64))))) (fma.f64 (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2))) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)))) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (/.f64 (fma.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (*.f64 (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2))) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) (-.f64 #s(literal 1/64 binary64) (pow.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 (*.f64 (PI.f64) (+.f64 u2 u2)) #s(literal 2 binary64))) #s(literal 1/2 binary64)) (*.f64 (log.f64 u1) #s(literal -1/18 binary64))) #s(literal 3 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 (*.f64 (PI.f64) (+.f64 u2 u2)) #s(literal 2 binary64))) #s(literal 1/2 binary64)) (*.f64 (log.f64 u1) #s(literal -1/18 binary64))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 (*.f64 (PI.f64) (+.f64 u2 u2)) #s(literal 2 binary64))) #s(literal 1/2 binary64)) (*.f64 (log.f64 u1) #s(literal -1/18 binary64)) #s(literal 1/4 binary64)) #s(literal 1/16 binary64))))
(*.f64 (pow.f64 (/.f64 (fma.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (*.f64 (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2))) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) (-.f64 #s(literal 1/16 binary64) (pow.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 (*.f64 (PI.f64) (+.f64 u2 u2)) #s(literal 2 binary64))) #s(literal 1/2 binary64)) (*.f64 (log.f64 u1) #s(literal -1/18 binary64))) #s(literal 2 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 (*.f64 (PI.f64) (+.f64 u2 u2)) #s(literal 2 binary64))) #s(literal 1/2 binary64)) (*.f64 (log.f64 u1) #s(literal -1/18 binary64)) #s(literal 1/4 binary64))))
(*.f64 (/.f64 (-.f64 #s(literal 1/64 binary64) (pow.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 (*.f64 (PI.f64) (+.f64 u2 u2)) #s(literal 2 binary64))) #s(literal 1/2 binary64)) (*.f64 (log.f64 u1) #s(literal -1/18 binary64))) #s(literal 3 binary64))) (+.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 (*.f64 (PI.f64) (+.f64 u2 u2)) #s(literal 2 binary64))) #s(literal 1/2 binary64)) (*.f64 (log.f64 u1) #s(literal -1/18 binary64))) #s(literal 3/2 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 (*.f64 (PI.f64) (+.f64 u2 u2)) #s(literal 2 binary64))) #s(literal 1/2 binary64)) (*.f64 (log.f64 u1) #s(literal -1/18 binary64))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 (*.f64 (PI.f64) (+.f64 u2 u2)) #s(literal 2 binary64))) #s(literal 1/2 binary64)) (*.f64 (log.f64 u1) #s(literal -1/18 binary64)) #s(literal 1/4 binary64)) #s(literal 1/16 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 (*.f64 (PI.f64) (+.f64 u2 u2)) #s(literal 2 binary64))) #s(literal 1/2 binary64)) (*.f64 (log.f64 u1) #s(literal -1/18 binary64)) #s(literal 1/4 binary64)) (*.f64 #s(literal -1/12 binary64) (*.f64 (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2))) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)))))))))
(*.f64 (/.f64 (-.f64 #s(literal 1/64 binary64) (pow.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 (*.f64 (PI.f64) (+.f64 u2 u2)) #s(literal 2 binary64))) #s(literal 1/2 binary64)) (*.f64 (log.f64 u1) #s(literal -1/18 binary64))) #s(literal 3 binary64))) (-.f64 #s(literal 1/4 binary64) (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 (*.f64 (PI.f64) (+.f64 u2 u2)) #s(literal 2 binary64))) #s(literal 1/2 binary64)) (*.f64 (log.f64 u1) #s(literal -1/18 binary64))))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 (*.f64 (PI.f64) (+.f64 u2 u2)) #s(literal 2 binary64))) #s(literal 1/2 binary64)) (*.f64 (log.f64 u1) #s(literal -1/18 binary64))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 (*.f64 (PI.f64) (+.f64 u2 u2)) #s(literal 2 binary64))) #s(literal 1/2 binary64)) (*.f64 (log.f64 u1) #s(literal -1/18 binary64)) #s(literal 1/4 binary64)) #s(literal 1/16 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2))) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)))) #s(literal 1/2 binary64)))))
(*.f64 (/.f64 (-.f64 #s(literal 1/16 binary64) (pow.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 (*.f64 (PI.f64) (+.f64 u2 u2)) #s(literal 2 binary64))) #s(literal 1/2 binary64)) (*.f64 (log.f64 u1) #s(literal -1/18 binary64))) #s(literal 2 binary64))) (+.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 (*.f64 (PI.f64) (+.f64 u2 u2)) #s(literal 2 binary64))) #s(literal 1/2 binary64)) (*.f64 (log.f64 u1) #s(literal -1/18 binary64))) #s(literal 3/2 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 (*.f64 (PI.f64) (+.f64 u2 u2)) #s(literal 2 binary64))) #s(literal 1/2 binary64)) (*.f64 (log.f64 u1) #s(literal -1/18 binary64)) #s(literal 1/4 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 (*.f64 (PI.f64) (+.f64 u2 u2)) #s(literal 2 binary64))) #s(literal 1/2 binary64)) (*.f64 (log.f64 u1) #s(literal -1/18 binary64)) #s(literal 1/4 binary64)) (*.f64 #s(literal -1/12 binary64) (*.f64 (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2))) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)))))))))
(*.f64 (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2))) (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal -1/6 binary64)))
(*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (*.f64 (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2))) #s(literal -1/6 binary64)))
(*.f64 (*.f64 (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2))) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)))) #s(literal -1/6 binary64))
(*.f64 #s(literal -1/6 binary64) (*.f64 (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2))) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)))))
(*.f64 (sqrt.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)))) (*.f64 (sqrt.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)))) (*.f64 (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2))) #s(literal -1/6 binary64))))
(*.f64 (*.f64 (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2))) #s(literal -1/6 binary64)) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))))
(*.f64 (sqrt.f64 #s(literal -2 binary64)) (*.f64 (sqrt.f64 (log.f64 u1)) (*.f64 (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2))) #s(literal -1/6 binary64))))
(*.f64 (*.f64 #s(literal -1/6 binary64) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)))) (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2))))

eval543.0ms (5.7%)

Memory
56.4MiB live, 1 143.9MiB allocated
Compiler

Compiled 173 698 to 3 785 computations (97.8% saved)

prune240.0ms (2.5%)

Memory
9.3MiB live, 552.3MiB allocated
Pruning

21 alts after pruning (19 fresh and 2 done)

PrunedKeptTotal
New3 485133 498
Fresh8614
Picked325
Done000
Total3 496213 517
Accuracy
100.0%
Counts
3 517 → 21
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.2%
(fma.f64 (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/4 binary64)) (*.f64 (*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2)))) (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/4 binary64))) #s(literal 1/2 binary64))
▶99.3%
(fma.f64 (*.f64 (pow.f64 (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 2 binary64)) #s(literal 1/4 binary64)) #s(literal 1/6 binary64)) (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2))) #s(literal 1/2 binary64))
99.1%
(fma.f64 (*.f64 (pow.f64 (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/4 binary64)) #s(literal 2 binary64)) #s(literal 1/6 binary64)) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))) #s(literal 1/2 binary64))
98.5%
(fma.f64 (*.f64 (pow.f64 (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/8 binary64)) #s(literal 4 binary64)) #s(literal 1/6 binary64)) (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2))) #s(literal 1/2 binary64))
98.0%
(fma.f64 (*.f64 (pow.f64 (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/16 binary64)) #s(literal 8 binary64)) #s(literal 1/6 binary64)) (cos.f64 (*.f64 (+.f64 u2 u2) (PI.f64))) #s(literal 1/2 binary64))
99.0%
(fma.f64 (*.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)))) #s(literal 2 binary64)) #s(literal 1/6 binary64)) (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2))) #s(literal 1/2 binary64))
98.8%
(fma.f64 (*.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (log.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)))) #s(literal 1/6 binary64)) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))) #s(literal 1/2 binary64))
99.2%
(fma.f64 (*.f64 (*.f64 (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2))) (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/8 binary64))) #s(literal 1/6 binary64)) (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 3/8 binary64)) #s(literal 1/2 binary64))
▶99.2%
(fma.f64 (*.f64 (*.f64 (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2))) #s(literal 1/6 binary64)) (sqrt.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))))) (sqrt.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)))) #s(literal 1/2 binary64))
99.2%
(fma.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))))) (sqrt.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))))) (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2))) #s(literal 1/2 binary64))
98.5%
(fma.f64 (*.f64 (sqrt.f64 (pow.f64 (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/8 binary64)) #s(literal 8 binary64))) #s(literal 1/6 binary64)) (cos.f64 (*.f64 (+.f64 u2 u2) (PI.f64))) #s(literal 1/2 binary64))
99.0%
(fma.f64 (*.f64 (sqrt.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)))) #s(literal 4 binary64))) #s(literal 1/6 binary64)) (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2))) #s(literal 1/2 binary64))
✓99.3%
(fma.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal 1/6 binary64)) (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2))) #s(literal 1/2 binary64))
▶98.9%
(fma.f64 (*.f64 (exp.f64 (*.f64 (log.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal 1/2 binary64))) #s(literal 1/6 binary64)) (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2))) #s(literal 1/2 binary64))
✓99.3%
(fma.f64 (*.f64 (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2))) #s(literal 1/6 binary64)) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal 1/2 binary64))
99.2%
(/.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 (*.f64 (PI.f64) (+.f64 u2 u2)) #s(literal 2 binary64))) #s(literal 1/2 binary64)) (*.f64 (log.f64 u1) #s(literal -1/18 binary64)) #s(literal -1/4 binary64)) (fma.f64 (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2))) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)))) #s(literal -1/2 binary64)))
99.2%
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2))) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)))))) (-.f64 #s(literal 1/4 binary64) (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 (*.f64 (PI.f64) (+.f64 u2 u2)) #s(literal 2 binary64))) #s(literal 1/2 binary64)) (*.f64 (log.f64 u1) #s(literal -1/18 binary64))))))
▶99.3%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2)))) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal 1/2 binary64))))
99.1%
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/4 binary64) (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 (*.f64 (PI.f64) (+.f64 u2 u2)) #s(literal 2 binary64))) #s(literal 1/2 binary64)) (*.f64 (log.f64 u1) #s(literal -1/18 binary64))))) (fma.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (*.f64 (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2))) #s(literal -1/6 binary64)) #s(literal 1/2 binary64))))
▶99.2%
(*.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 (*.f64 (PI.f64) (+.f64 u2 u2)) #s(literal 2 binary64))) #s(literal 1/2 binary64)) (*.f64 (log.f64 u1) #s(literal -1/18 binary64)) #s(literal -1/4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2))) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)))) #s(literal -1/2 binary64))))
99.1%
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2)))) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal 1/2 binary64)))) #s(literal -1 binary64)))
Compiler

Compiled 988 to 750 computations (24.1% saved)

simplify321.0ms (3.3%)

Memory
-58.7MiB live, 87.6MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 (*.f64 (PI.f64) (+.f64 u2 u2)) #s(literal 2 binary64))) #s(literal 1/2 binary64))
✓cost-diff192
(*.f64 (*.f64 (PI.f64) (+.f64 u2 u2)) #s(literal 2 binary64))
✓cost-diff320
(fma.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 (*.f64 (PI.f64) (+.f64 u2 u2)) #s(literal 2 binary64))) #s(literal 1/2 binary64)) (*.f64 (log.f64 u1) #s(literal -1/18 binary64)) #s(literal -1/4 binary64))
✓cost-diff320
(*.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 (*.f64 (PI.f64) (+.f64 u2 u2)) #s(literal 2 binary64))) #s(literal 1/2 binary64)) (*.f64 (log.f64 u1) #s(literal -1/18 binary64)) #s(literal -1/4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2))) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)))) #s(literal -1/2 binary64))))
✓cost-diff0
(*.f64 (log.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal 1/2 binary64))
✓cost-diff0
(*.f64 (exp.f64 (*.f64 (log.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal 1/2 binary64))) #s(literal 1/6 binary64))
✓cost-diff0
(fma.f64 (*.f64 (exp.f64 (*.f64 (log.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal 1/2 binary64))) #s(literal 1/6 binary64)) (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2))) #s(literal 1/2 binary64))
✓cost-diff12480
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal 1/2 binary64)))
✓cost-diff0
(cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2)))
✓cost-diff0
(*.f64 (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2))) #s(literal 1/6 binary64))
✓cost-diff0
(*.f64 (*.f64 (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2))) #s(literal 1/6 binary64)) (sqrt.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)))))
✓cost-diff8960
(fma.f64 (*.f64 (*.f64 (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2))) #s(literal 1/6 binary64)) (sqrt.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))))) (sqrt.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)))) #s(literal 1/2 binary64))
✓cost-diff0
(*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2))))
✓cost-diff0
(fma.f64 (*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2)))) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal 1/2 binary64))
✓cost-diff0
(/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2)))) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal 1/2 binary64)))
✓cost-diff1408
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2)))) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal 1/2 binary64))))
✓cost-diff0
(pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 2 binary64))
✓cost-diff0
(pow.f64 (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 2 binary64)) #s(literal 1/4 binary64))
✓cost-diff0
(*.f64 (pow.f64 (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 2 binary64)) #s(literal 1/4 binary64)) #s(literal 1/6 binary64))
✓cost-diff0
(fma.f64 (*.f64 (pow.f64 (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 2 binary64)) #s(literal 1/4 binary64)) #s(literal 1/6 binary64)) (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2))) #s(literal 1/2 binary64))
Rules
1 126×*-lowering-*.f32
1 126×*-lowering-*.f64
1 036×accelerator-lowering-fma.f32
1 036×accelerator-lowering-fma.f64
646×associate-*r*
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
051470
1107466
2203452
3428452
4861452
51590452
61786452
71786452
81786452
91800452
01800438
Stop Event
1×iter limit
1×saturated
Calls
Call 1
Inputs
(+ (* (* (pow (pow (* -2 (log u1)) 2) 1/4) 1/6) (cos (* (PI) (+ u2 u2)))) 1/2)
(* (pow (pow (* -2 (log u1)) 2) 1/4) 1/6)
(pow (pow (* -2 (log u1)) 2) 1/4)
(pow (* -2 (log u1)) 2)
(* -2 (log u1))
-2
(log u1)
u1
2
1/4
1/6
(cos (* (PI) (+ u2 u2)))
(* (PI) (+ u2 u2))
(PI)
(+ u2 u2)
u2
1/2
(/ 1 (/ 1 (+ (* (* 1/6 (cos (* (PI) (+ u2 u2)))) (sqrt (* -2 (log u1)))) 1/2)))
1
(/ 1 (+ (* (* 1/6 (cos (* (PI) (+ u2 u2)))) (sqrt (* -2 (log u1)))) 1/2))
(+ (* (* 1/6 (cos (* (PI) (+ u2 u2)))) (sqrt (* -2 (log u1)))) 1/2)
(* 1/6 (cos (* (PI) (+ u2 u2))))
1/6
(cos (* (PI) (+ u2 u2)))
(* (PI) (+ u2 u2))
(PI)
(+ u2 u2)
u2
(sqrt (* -2 (log u1)))
(* -2 (log u1))
-2
(log u1)
u1
1/2
(+ (* (* (* (cos (* (PI) (+ u2 u2))) 1/6) (sqrt (sqrt (* -2 (log u1))))) (sqrt (sqrt (* -2 (log u1))))) 1/2)
(* (* (cos (* (PI) (+ u2 u2))) 1/6) (sqrt (sqrt (* -2 (log u1)))))
(* (cos (* (PI) (+ u2 u2))) 1/6)
(cos (* (PI) (+ u2 u2)))
(* (PI) (+ u2 u2))
(PI)
(+ u2 u2)
u2
1/6
(sqrt (sqrt (* -2 (log u1))))
(sqrt (* -2 (log u1)))
(* -2 (log u1))
-2
(log u1)
u1
1/2
(+ (* (* (exp (* (log (* -2 (log u1))) 1/2)) 1/6) (cos (* (PI) (+ u2 u2)))) 1/2)
(* (exp (* (log (* -2 (log u1))) 1/2)) 1/6)
(exp (* (log (* -2 (log u1))) 1/2))
(* (log (* -2 (log u1))) 1/2)
(log (* -2 (log u1)))
(* -2 (log u1))
-2
(log u1)
u1
1/2
1/6
(cos (* (PI) (+ u2 u2)))
(* (PI) (+ u2 u2))
(PI)
(+ u2 u2)
u2
(* (+ (* (+ (* 1/2 (cos (* (* (PI) (+ u2 u2)) 2))) 1/2) (* (log u1) -1/18)) -1/4) (/ 1 (+ (* (cos (* (PI) (+ u2 u2))) (* 1/6 (sqrt (* -2 (log u1))))) -1/2)))
(+ (* (+ (* 1/2 (cos (* (* (PI) (+ u2 u2)) 2))) 1/2) (* (log u1) -1/18)) -1/4)
(+ (* 1/2 (cos (* (* (PI) (+ u2 u2)) 2))) 1/2)
1/2
(cos (* (* (PI) (+ u2 u2)) 2))
(* (* (PI) (+ u2 u2)) 2)
(* (PI) (+ u2 u2))
(PI)
(+ u2 u2)
u2
2
(* (log u1) -1/18)
(log u1)
u1
-1/18
-1/4
(/ 1 (+ (* (cos (* (PI) (+ u2 u2))) (* 1/6 (sqrt (* -2 (log u1))))) -1/2))
1
(+ (* (cos (* (PI) (+ u2 u2))) (* 1/6 (sqrt (* -2 (log u1))))) -1/2)
(cos (* (PI) (+ u2 u2)))
(* 1/6 (sqrt (* -2 (log u1))))
1/6
(sqrt (* -2 (log u1)))
(* -2 (log u1))
-2
-1/2
Outputs
(+ (* (* (pow (pow (* -2 (log u1)) 2) 1/4) 1/6) (cos (* (PI) (+ u2 u2)))) 1/2)
(fma.f64 (pow.f64 (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2)))) #s(literal 1/2 binary64))
(* (pow (pow (* -2 (log u1)) 2) 1/4) 1/6)
(*.f64 (pow.f64 (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 2 binary64)) #s(literal 1/4 binary64)) #s(literal 1/6 binary64))
(pow (pow (* -2 (log u1)) 2) 1/4)
(pow.f64 (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 2 binary64)) #s(literal 1/4 binary64))
(pow (* -2 (log u1)) 2)
(pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 2 binary64))
(* -2 (log u1))
(*.f64 #s(literal -2 binary64) (log.f64 u1))
-2
#s(literal -2 binary64)
(log u1)
(log.f64 u1)
u1
2
#s(literal 2 binary64)
1/4
#s(literal 1/4 binary64)
1/6
#s(literal 1/6 binary64)
(cos (* (PI) (+ u2 u2)))
(cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2)))
(* (PI) (+ u2 u2))
(*.f64 (PI.f64) (+.f64 u2 u2))
(PI)
(PI.f64)
(+ u2 u2)
(+.f64 u2 u2)
u2
1/2
#s(literal 1/2 binary64)
(/ 1 (/ 1 (+ (* (* 1/6 (cos (* (PI) (+ u2 u2)))) (sqrt (* -2 (log u1)))) 1/2)))
(fma.f64 #s(literal 1/6 binary64) (*.f64 (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2))) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)))) #s(literal 1/2 binary64))
1
#s(literal 1 binary64)
(/ 1 (+ (* (* 1/6 (cos (* (PI) (+ u2 u2)))) (sqrt (* -2 (log u1)))) 1/2))
(/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/6 binary64) (*.f64 (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2))) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)))) #s(literal 1/2 binary64)))
(+ (* (* 1/6 (cos (* (PI) (+ u2 u2)))) (sqrt (* -2 (log u1)))) 1/2)
(fma.f64 #s(literal 1/6 binary64) (*.f64 (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2))) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)))) #s(literal 1/2 binary64))
(* 1/6 (cos (* (PI) (+ u2 u2))))
(*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2))))
1/6
#s(literal 1/6 binary64)
(cos (* (PI) (+ u2 u2)))
(cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2)))
(* (PI) (+ u2 u2))
(*.f64 (PI.f64) (+.f64 u2 u2))
(PI)
(PI.f64)
(+ u2 u2)
(+.f64 u2 u2)
u2
(sqrt (* -2 (log u1)))
(sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)))
(* -2 (log u1))
(*.f64 #s(literal -2 binary64) (log.f64 u1))
-2
#s(literal -2 binary64)
(log u1)
(log.f64 u1)
u1
1/2
#s(literal 1/2 binary64)
(+ (* (* (* (cos (* (PI) (+ u2 u2))) 1/6) (sqrt (sqrt (* -2 (log u1))))) (sqrt (sqrt (* -2 (log u1))))) 1/2)
(fma.f64 #s(literal 1/6 binary64) (*.f64 (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2))) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)))) #s(literal 1/2 binary64))
(* (* (cos (* (PI) (+ u2 u2))) 1/6) (sqrt (sqrt (* -2 (log u1)))))
(*.f64 (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2))) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))))))
(* (cos (* (PI) (+ u2 u2))) 1/6)
(*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2))))
(cos (* (PI) (+ u2 u2)))
(cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2)))
(* (PI) (+ u2 u2))
(*.f64 (PI.f64) (+.f64 u2 u2))
(PI)
(PI.f64)
(+ u2 u2)
(+.f64 u2 u2)
u2
1/6
#s(literal 1/6 binary64)
(sqrt (sqrt (* -2 (log u1))))
(sqrt.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))))
(sqrt (* -2 (log u1)))
(sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)))
(* -2 (log u1))
(*.f64 #s(literal -2 binary64) (log.f64 u1))
-2
#s(literal -2 binary64)
(log u1)
(log.f64 u1)
u1
1/2
#s(literal 1/2 binary64)
(+ (* (* (exp (* (log (* -2 (log u1))) 1/2)) 1/6) (cos (* (PI) (+ u2 u2)))) 1/2)
(fma.f64 #s(literal 1/6 binary64) (*.f64 (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2))) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)))) #s(literal 1/2 binary64))
(* (exp (* (log (* -2 (log u1))) 1/2)) 1/6)
(*.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))))
(exp (* (log (* -2 (log u1))) 1/2))
(sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)))
(* (log (* -2 (log u1))) 1/2)
(*.f64 #s(literal 1/2 binary64) (log.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))))
(log (* -2 (log u1)))
(log.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)))
(* -2 (log u1))
(*.f64 #s(literal -2 binary64) (log.f64 u1))
-2
#s(literal -2 binary64)
(log u1)
(log.f64 u1)
u1
1/2
#s(literal 1/2 binary64)
1/6
#s(literal 1/6 binary64)
(cos (* (PI) (+ u2 u2)))
(cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2)))
(* (PI) (+ u2 u2))
(*.f64 (PI.f64) (+.f64 u2 u2))
(PI)
(PI.f64)
(+ u2 u2)
(+.f64 u2 u2)
u2
(* (+ (* (+ (* 1/2 (cos (* (* (PI) (+ u2 u2)) 2))) 1/2) (* (log u1) -1/18)) -1/4) (/ 1 (+ (* (cos (* (PI) (+ u2 u2))) (* 1/6 (sqrt (* -2 (log u1))))) -1/2)))
(/.f64 (fma.f64 (log.f64 u1) (fma.f64 (cos.f64 (*.f64 (PI.f64) (*.f64 u2 #s(literal 4 binary64)))) #s(literal -1/36 binary64) #s(literal -1/36 binary64)) #s(literal -1/4 binary64)) (fma.f64 #s(literal 1/6 binary64) (*.f64 (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2))) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)))) #s(literal -1/2 binary64)))
(+ (* (+ (* 1/2 (cos (* (* (PI) (+ u2 u2)) 2))) 1/2) (* (log u1) -1/18)) -1/4)
(fma.f64 (log.f64 u1) (fma.f64 (cos.f64 (*.f64 (PI.f64) (*.f64 u2 #s(literal 4 binary64)))) #s(literal -1/36 binary64) #s(literal -1/36 binary64)) #s(literal -1/4 binary64))
(+ (* 1/2 (cos (* (* (PI) (+ u2 u2)) 2))) 1/2)
(fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 (PI.f64) (*.f64 u2 #s(literal 4 binary64)))) #s(literal 1/2 binary64))
1/2
#s(literal 1/2 binary64)
(cos (* (* (PI) (+ u2 u2)) 2))
(cos.f64 (*.f64 (PI.f64) (*.f64 u2 #s(literal 4 binary64))))
(* (* (PI) (+ u2 u2)) 2)
(*.f64 (PI.f64) (*.f64 u2 #s(literal 4 binary64)))
(* (PI) (+ u2 u2))
(*.f64 (PI.f64) (+.f64 u2 u2))
(PI)
(PI.f64)
(+ u2 u2)
(+.f64 u2 u2)
u2
2
#s(literal 2 binary64)
(* (log u1) -1/18)
(*.f64 (log.f64 u1) #s(literal -1/18 binary64))
(log u1)
(log.f64 u1)
u1
-1/18
#s(literal -1/18 binary64)
-1/4
#s(literal -1/4 binary64)
(/ 1 (+ (* (cos (* (PI) (+ u2 u2))) (* 1/6 (sqrt (* -2 (log u1))))) -1/2))
(/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/6 binary64) (*.f64 (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2))) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)))) #s(literal -1/2 binary64)))
1
#s(literal 1 binary64)
(+ (* (cos (* (PI) (+ u2 u2))) (* 1/6 (sqrt (* -2 (log u1))))) -1/2)
(fma.f64 #s(literal 1/6 binary64) (*.f64 (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2))) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)))) #s(literal -1/2 binary64))
(cos (* (PI) (+ u2 u2)))
(cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2)))
(* 1/6 (sqrt (* -2 (log u1))))
(*.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))))
1/6
#s(literal 1/6 binary64)
(sqrt (* -2 (log u1)))
(sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)))
(* -2 (log u1))
(*.f64 #s(literal -2 binary64) (log.f64 u1))
-2
#s(literal -2 binary64)
-1/2
#s(literal -1/2 binary64)

localize308.0ms (3.2%)

Memory
25.7MiB live, 508.4MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
✓accuracy99.6%
(/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2))) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)))) #s(literal -1/2 binary64)))
✓accuracy99.4%
(*.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 (*.f64 (PI.f64) (+.f64 u2 u2)) #s(literal 2 binary64))) #s(literal 1/2 binary64)) (*.f64 (log.f64 u1) #s(literal -1/18 binary64)) #s(literal -1/4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2))) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)))) #s(literal -1/2 binary64))))
✓accuracy99.4%
(*.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))))
✓accuracy99.4%
(*.f64 (log.f64 u1) #s(literal -1/18 binary64))
✓accuracy99.9%
(fma.f64 (*.f64 (exp.f64 (*.f64 (log.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal 1/2 binary64))) #s(literal 1/6 binary64)) (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2))) #s(literal 1/2 binary64))
✓accuracy99.7%
(*.f64 (PI.f64) (+.f64 u2 u2))
✓accuracy99.4%
(*.f64 (exp.f64 (*.f64 (log.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal 1/2 binary64))) #s(literal 1/6 binary64))
✓accuracy99.0%
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal 1/2 binary64)))
✓accuracy99.8%
(sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)))
✓accuracy99.7%
(*.f64 (PI.f64) (+.f64 u2 u2))
✓accuracy99.6%
(fma.f64 (*.f64 (*.f64 (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2))) #s(literal 1/6 binary64)) (sqrt.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))))) (sqrt.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)))) #s(literal 1/2 binary64))
✓accuracy99.5%
(*.f64 (*.f64 (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2))) #s(literal 1/6 binary64)) (sqrt.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)))))
✓accuracy99.7%
(*.f64 (PI.f64) (+.f64 u2 u2))
✓accuracy99.6%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2)))) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal 1/2 binary64))))
✓accuracy99.6%
(/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2)))) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal 1/2 binary64)))
✓accuracy99.4%
(fma.f64 (*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2)))) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal 1/2 binary64))
✓accuracy99.9%
(pow.f64 (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 2 binary64)) #s(literal 1/4 binary64))
✓accuracy99.7%
(*.f64 (PI.f64) (+.f64 u2 u2))
✓accuracy99.4%
(*.f64 (pow.f64 (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 2 binary64)) #s(literal 1/4 binary64)) #s(literal 1/6 binary64))
✓accuracy99.2%
(pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 2 binary64))
Samples
133.0ms256×0valid
Compiler

Compiled 477 to 53 computations (88.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 102.0ms
ival-add: 32.0ms (31.5% of total)
ival-mult: 30.0ms (29.5% of total)
ival-log: 7.0ms (6.9% of total)
const: 7.0ms (6.9% of total)
ival-div: 5.0ms (4.9% of total)
ival-pow: 5.0ms (4.9% of total)
ival-cos: 4.0ms (3.9% of total)
ival-exp: 3.0ms (3% of total)
ival-sqrt: 3.0ms (3% of total)
ival-pow2: 2.0ms (2% of total)
ival-pi: 1.0ms (1% of total)
exact: 1.0ms (1% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series179.0ms (1.9%)

Memory
19.2MiB live, 237.0MiB allocated
Counts
25 → 420
Calls
Call 1
Inputs
#<alt (+ (* (* (pow (pow (* -2 (log u1)) 2) 1/4) 1/6) (cos (* (PI) (+ u2 u2)))) 1/2)>
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#<alt (pow (pow (* -2 (log u1)) 2) 1/4)>
#<alt (pow (* -2 (log u1)) 2)>
#<alt (/ 1 (/ 1 (+ (* (* 1/6 (cos (* (PI) (+ u2 u2)))) (sqrt (* -2 (log u1)))) 1/2)))>
#<alt (/ 1 (+ (* (* 1/6 (cos (* (PI) (+ u2 u2)))) (sqrt (* -2 (log u1)))) 1/2))>
#<alt (+ (* (* 1/6 (cos (* (PI) (+ u2 u2)))) (sqrt (* -2 (log u1)))) 1/2)>
#<alt (* 1/6 (cos (* (PI) (+ u2 u2))))>
#<alt (+ (* (* (* (cos (* (PI) (+ u2 u2))) 1/6) (sqrt (sqrt (* -2 (log u1))))) (sqrt (sqrt (* -2 (log u1))))) 1/2)>
#<alt (* (* (cos (* (PI) (+ u2 u2))) 1/6) (sqrt (sqrt (* -2 (log u1)))))>
#<alt (* (cos (* (PI) (+ u2 u2))) 1/6)>
#<alt (cos (* (PI) (+ u2 u2)))>
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#<alt (+ (* (+ (* 1/2 (cos (* (* (PI) (+ u2 u2)) 2))) 1/2) (* (log u1) -1/18)) -1/4)>
#<alt (* (* (PI) (+ u2 u2)) 2)>
#<alt (+ (* 1/2 (cos (* (* (PI) (+ u2 u2)) 2))) 1/2)>
#<alt (* (PI) (+ u2 u2))>
#<alt (sqrt (* -2 (log u1)))>
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#<alt (* 1/6 (sqrt (* -2 (log u1))))>
#<alt (/ 1 (+ (* (cos (* (PI) (+ u2 u2))) (* 1/6 (sqrt (* -2 (log u1))))) -1/2))>
Outputs
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#<alt (+ 1/2 (+ (* 1/6 (* (sqrt (log u1)) (sqrt -2))) (* (pow u2 2) (+ (* -1/3 (* (* (pow (PI) 2) (sqrt -2)) (sqrt (log u1)))) (* 1/9 (* (* (pow u2 2) (* (pow (PI) 4) (sqrt -2))) (sqrt (log u1))))))))>
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#<alt (- (* -1/18 (* (log u1) (+ 1/2 (* 1/2 (cos (* 4 (* u2 (PI)))))))) 1/4)>
#<alt (- (* -1/18 (* (log u1) (+ 1/2 (* 1/2 (cos (* 4 (* u2 (PI)))))))) 1/4)>
#<alt (- (* -1/18 (* (log u1) (+ 1/2 (* 1/2 (cos (* 4 (* u2 (PI)))))))) 1/4)>
#<alt (- (* -1/18 (* (log u1) (+ 1/2 (* 1/2 (cos (* 4 (* u2 (PI)))))))) 1/4)>
#<alt (- (* -1/18 (* (log u1) (+ 1/2 (* 1/2 (cos (* 4 (* u2 (PI)))))))) 1/4)>
#<alt (- (* -1/18 (* (log u1) (+ 1/2 (* 1/2 (cos (* 4 (* u2 (PI)))))))) 1/4)>
#<alt (- (* -1/18 (* (log u1) (+ 1/2 (* 1/2 (cos (* 4 (* u2 (PI)))))))) 1/4)>
#<alt (- (* -1/18 (* (log u1) (+ 1/2 (* 1/2 (cos (* 4 (* u2 (PI)))))))) 1/4)>
#<alt (- (* -1/18 (* (log u1) (+ 1/2 (* 1/2 (cos (* 4 (* u2 (PI)))))))) 1/4)>
#<alt (- (* -1/18 (* (log u1) (+ 1/2 (* 1/2 (cos (* 4 (* u2 (PI)))))))) 1/4)>
#<alt (- (* -1/18 (* (log u1) (+ 1/2 (* 1/2 (cos (* 4 (* u2 (PI)))))))) 1/4)>
#<alt (- (* -1/18 (* (log u1) (+ 1/2 (* 1/2 (cos (* 4 (* u2 (PI)))))))) 1/4)>
#<alt (- (* 1/18 (* (log (/ 1 u1)) (+ 1/2 (* 1/2 (cos (* 4 (* u2 (PI)))))))) 1/4)>
#<alt (- (* 1/18 (* (log (/ 1 u1)) (+ 1/2 (* 1/2 (cos (* 4 (* u2 (PI)))))))) 1/4)>
#<alt (- (* 1/18 (* (log (/ 1 u1)) (+ 1/2 (* 1/2 (cos (* 4 (* u2 (PI)))))))) 1/4)>
#<alt (- (* 1/18 (* (log (/ 1 u1)) (+ 1/2 (* 1/2 (cos (* 4 (* u2 (PI)))))))) 1/4)>
#<alt (- (* -1/18 (* (+ 1/2 (* 1/2 (cos (* 4 (* u2 (PI)))))) (+ (log -1) (* -1 (log (/ -1 u1)))))) 1/4)>
#<alt (- (* -1/18 (* (+ 1/2 (* 1/2 (cos (* 4 (* u2 (PI)))))) (+ (log -1) (* -1 (log (/ -1 u1)))))) 1/4)>
#<alt (- (* -1/18 (* (+ 1/2 (* 1/2 (cos (* 4 (* u2 (PI)))))) (+ (log -1) (* -1 (log (/ -1 u1)))))) 1/4)>
#<alt (- (* -1/18 (* (+ 1/2 (* 1/2 (cos (* 4 (* u2 (PI)))))) (+ (log -1) (* -1 (log (/ -1 u1)))))) 1/4)>
#<alt (* 4 (* u2 (PI)))>
#<alt (* 4 (* u2 (PI)))>
#<alt (* 4 (* u2 (PI)))>
#<alt (* 4 (* u2 (PI)))>
#<alt (* 4 (* u2 (PI)))>
#<alt (* 4 (* u2 (PI)))>
#<alt (* 4 (* u2 (PI)))>
#<alt (* 4 (* u2 (PI)))>
#<alt (* 4 (* u2 (PI)))>
#<alt (* 4 (* u2 (PI)))>
#<alt (* 4 (* u2 (PI)))>
#<alt (* 4 (* u2 (PI)))>
#<alt 1>
#<alt (+ 1 (* -4 (* (pow u2 2) (pow (PI) 2))))>
#<alt (+ 1 (* (pow u2 2) (+ (* -4 (pow (PI) 2)) (* 16/3 (* (pow u2 2) (pow (PI) 4))))))>
#<alt (+ 1 (* (pow u2 2) (+ (* -4 (pow (PI) 2)) (* (pow u2 2) (+ (* -128/45 (* (pow u2 2) (pow (PI) 6))) (* 16/3 (pow (PI) 4)))))))>
#<alt (+ 1/2 (* 1/2 (cos (* 4 (* u2 (PI))))))>
#<alt (+ 1/2 (* 1/2 (cos (* 4 (* u2 (PI))))))>
#<alt (+ 1/2 (* 1/2 (cos (* 4 (* u2 (PI))))))>
#<alt (+ 1/2 (* 1/2 (cos (* 4 (* u2 (PI))))))>
#<alt (+ 1/2 (* 1/2 (cos (* 4 (* u2 (PI))))))>
#<alt (+ 1/2 (* 1/2 (cos (* 4 (* u2 (PI))))))>
#<alt (+ 1/2 (* 1/2 (cos (* 4 (* u2 (PI))))))>
#<alt (+ 1/2 (* 1/2 (cos (* 4 (* u2 (PI))))))>
#<alt (* 2 (* u2 (PI)))>
#<alt (* 2 (* u2 (PI)))>
#<alt (* 2 (* u2 (PI)))>
#<alt (* 2 (* u2 (PI)))>
#<alt (* 2 (* u2 (PI)))>
#<alt (* 2 (* u2 (PI)))>
#<alt (* 2 (* u2 (PI)))>
#<alt (* 2 (* u2 (PI)))>
#<alt (* 2 (* u2 (PI)))>
#<alt (* 2 (* u2 (PI)))>
#<alt (* 2 (* u2 (PI)))>
#<alt (* 2 (* u2 (PI)))>
#<alt (* (sqrt (log u1)) (sqrt -2))>
#<alt (* (sqrt (log u1)) (sqrt -2))>
#<alt (* (sqrt (log u1)) (sqrt -2))>
#<alt (* (sqrt (log u1)) (sqrt -2))>
#<alt (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1)))>
#<alt (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1)))>
#<alt (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1)))>
#<alt (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1)))>
#<alt (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))>
#<alt (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))>
#<alt (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))>
#<alt (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))>
#<alt (* -1/18 (log u1))>
#<alt (* -1/18 (log u1))>
#<alt (* -1/18 (log u1))>
#<alt (* -1/18 (log u1))>
#<alt (* 1/18 (log (/ 1 u1)))>
#<alt (* 1/18 (log (/ 1 u1)))>
#<alt (* 1/18 (log (/ 1 u1)))>
#<alt (* 1/18 (log (/ 1 u1)))>
#<alt (* -1/18 (+ (log -1) (* -1 (log (/ -1 u1)))))>
#<alt (* -1/18 (+ (log -1) (* -1 (log (/ -1 u1)))))>
#<alt (* -1/18 (+ (log -1) (* -1 (log (/ -1 u1)))))>
#<alt (* -1/18 (+ (log -1) (* -1 (log (/ -1 u1)))))>
#<alt (* 1/6 (* (sqrt (log u1)) (sqrt -2)))>
#<alt (* 1/6 (* (sqrt (log u1)) (sqrt -2)))>
#<alt (* 1/6 (* (sqrt (log u1)) (sqrt -2)))>
#<alt (* 1/6 (* (sqrt (log u1)) (sqrt -2)))>
#<alt (* 1/6 (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1))))>
#<alt (* 1/6 (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1))))>
#<alt (* 1/6 (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1))))>
#<alt (* 1/6 (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1))))>
#<alt (* 1/6 (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))))>
#<alt (* 1/6 (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))))>
#<alt (* 1/6 (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))))>
#<alt (* 1/6 (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))))>
#<alt (/ 1 (- (* 1/6 (* (sqrt (log u1)) (sqrt -2))) 1/2))>
#<alt (+ (* 1/3 (* (/ (* (pow u2 2) (* (pow (PI) 2) (sqrt -2))) (pow (- (* 1/6 (* (sqrt (log u1)) (sqrt -2))) 1/2) 2)) (sqrt (log u1)))) (/ 1 (- (* 1/6 (* (sqrt (log u1)) (sqrt -2))) 1/2)))>
#<alt (+ (* (pow u2 2) (- (* -1 (* (pow u2 2) (+ (* -1/9 (/ (* (pow (PI) 4) (* (log u1) (pow (sqrt -2) 2))) (pow (- (* 1/6 (* (sqrt (log u1)) (sqrt -2))) 1/2) 3))) (* 1/9 (* (/ (* (pow (PI) 4) (sqrt -2)) (pow (- (* 1/6 (* (sqrt (log u1)) (sqrt -2))) 1/2) 2)) (sqrt (log u1))))))) (* -1/3 (* (/ (* (pow (PI) 2) (sqrt -2)) (pow (- (* 1/6 (* (sqrt (log u1)) (sqrt -2))) 1/2) 2)) (sqrt (log u1)))))) (/ 1 (- (* 1/6 (* (sqrt (log u1)) (sqrt -2))) 1/2)))>
#<alt (+ (* (pow u2 2) (- (* (pow u2 2) (- (* -1 (* (pow u2 2) (+ (* -2/135 (* (/ (* (pow (PI) 6) (sqrt -2)) (pow (- (* 1/6 (* (sqrt (log u1)) (sqrt -2))) 1/2) 2)) (sqrt (log u1)))) (+ (* 1/27 (/ (* (pow (PI) 6) (* (log u1) (pow (sqrt -2) 2))) (pow (- (* 1/6 (* (sqrt (log u1)) (sqrt -2))) 1/2) 3))) (* 1/3 (* (/ (* (pow (PI) 2) (* (sqrt -2) (+ (* -1/9 (/ (* (pow (PI) 4) (* (log u1) (pow (sqrt -2) 2))) (pow (- (* 1/6 (* (sqrt (log u1)) (sqrt -2))) 1/2) 3))) (* 1/9 (* (/ (* (pow (PI) 4) (sqrt -2)) (pow (- (* 1/6 (* (sqrt (log u1)) (sqrt -2))) 1/2) 2)) (sqrt (log u1))))))) (- (* 1/6 (* (sqrt (log u1)) (sqrt -2))) 1/2)) (sqrt (log u1)))))))) (+ (* -1/9 (/ (* (pow (PI) 4) (* (log u1) (pow (sqrt -2) 2))) (pow (- (* 1/6 (* (sqrt (log u1)) (sqrt -2))) 1/2) 3))) (* 1/9 (* (/ (* (pow (PI) 4) (sqrt -2)) (pow (- (* 1/6 (* (sqrt (log u1)) (sqrt -2))) 1/2) 2)) (sqrt (log u1))))))) (* -1/3 (* (/ (* (pow (PI) 2) (sqrt -2)) (pow (- (* 1/6 (* (sqrt (log u1)) (sqrt -2))) 1/2) 2)) (sqrt (log u1)))))) (/ 1 (- (* 1/6 (* (sqrt (log u1)) (sqrt -2))) 1/2)))>
#<alt (/ 1 (- (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))) 1/2))>
#<alt (/ 1 (- (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))) 1/2))>
#<alt (/ 1 (- (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))) 1/2))>
#<alt (/ 1 (- (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))) 1/2))>
#<alt (/ 1 (- (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))) 1/2))>
#<alt (/ 1 (- (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))) 1/2))>
#<alt (/ 1 (- (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))) 1/2))>
#<alt (/ 1 (- (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))) 1/2))>
#<alt (/ 1 (- (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))) 1/2))>
#<alt (/ 1 (- (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))) 1/2))>
#<alt (/ 1 (- (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))) 1/2))>
#<alt (/ 1 (- (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))) 1/2))>
#<alt (/ 1 (- (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -2) (sqrt -1))) (sqrt (log (/ 1 u1))))) 1/2))>
#<alt (/ 1 (- (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -2) (sqrt -1))) (sqrt (log (/ 1 u1))))) 1/2))>
#<alt (/ 1 (- (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -2) (sqrt -1))) (sqrt (log (/ 1 u1))))) 1/2))>
#<alt (/ 1 (- (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -2) (sqrt -1))) (sqrt (log (/ 1 u1))))) 1/2))>
#<alt (/ 1 (- (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))) 1/2))>
#<alt (/ 1 (- (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))) 1/2))>
#<alt (/ 1 (- (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))) 1/2))>
#<alt (/ 1 (- (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))) 1/2))>
Calls

105 calls:

TimeVariablePointExpression
64.0ms
u2
@inf
(* (* (cos (* (PI) (+ u2 u2))) 1/6) (sqrt (sqrt (* -2 (log u1)))))
32.0ms
u1
@inf
(* (* (cos (* (PI) (+ u2 u2))) 1/6) (sqrt (sqrt (* -2 (log u1)))))
21.0ms
u1
@0
(* (* (cos (* (PI) (+ u2 u2))) 1/6) (sqrt (sqrt (* -2 (log u1)))))
19.0ms
u1
@-inf
(* (* (cos (* (PI) (+ u2 u2))) 1/6) (sqrt (sqrt (* -2 (log u1)))))
8.0ms
u1
@0
(/ 1 (+ (* (* 1/6 (cos (* (PI) (+ u2 u2)))) (sqrt (* -2 (log u1)))) 1/2))

rewrite141.0ms (1.5%)

Memory
-31.5MiB live, 245.0MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
904×*-lowering-*.f32
904×*-lowering-*.f64
682×accelerator-lowering-fma.f32
682×accelerator-lowering-fma.f64
356×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
051287
1261277
01495264
Stop Event
1×iter limit
1×iter limit
1×node limit
Counts
25 → 521
Calls
Call 1
Inputs
(+ (* (* (pow (pow (* -2 (log u1)) 2) 1/4) 1/6) (cos (* (PI) (+ u2 u2)))) 1/2)
(* (pow (pow (* -2 (log u1)) 2) 1/4) 1/6)
(pow (pow (* -2 (log u1)) 2) 1/4)
(pow (* -2 (log u1)) 2)
(/ 1 (/ 1 (+ (* (* 1/6 (cos (* (PI) (+ u2 u2)))) (sqrt (* -2 (log u1)))) 1/2)))
(/ 1 (+ (* (* 1/6 (cos (* (PI) (+ u2 u2)))) (sqrt (* -2 (log u1)))) 1/2))
(+ (* (* 1/6 (cos (* (PI) (+ u2 u2)))) (sqrt (* -2 (log u1)))) 1/2)
(* 1/6 (cos (* (PI) (+ u2 u2))))
(+ (* (* (* (cos (* (PI) (+ u2 u2))) 1/6) (sqrt (sqrt (* -2 (log u1))))) (sqrt (sqrt (* -2 (log u1))))) 1/2)
(* (* (cos (* (PI) (+ u2 u2))) 1/6) (sqrt (sqrt (* -2 (log u1)))))
(* (cos (* (PI) (+ u2 u2))) 1/6)
(cos (* (PI) (+ u2 u2)))
(exp (* (log (* -2 (log u1))) 1/2))
(+ (* (* (exp (* (log (* -2 (log u1))) 1/2)) 1/6) (cos (* (PI) (+ u2 u2)))) 1/2)
(* (exp (* (log (* -2 (log u1))) 1/2)) 1/6)
(* (log (* -2 (log u1))) 1/2)
(* (+ (* (+ (* 1/2 (cos (* (* (PI) (+ u2 u2)) 2))) 1/2) (* (log u1) -1/18)) -1/4) (/ 1 (+ (* (cos (* (PI) (+ u2 u2))) (* 1/6 (sqrt (* -2 (log u1))))) -1/2)))
(+ (* (+ (* 1/2 (cos (* (* (PI) (+ u2 u2)) 2))) 1/2) (* (log u1) -1/18)) -1/4)
(* (* (PI) (+ u2 u2)) 2)
(+ (* 1/2 (cos (* (* (PI) (+ u2 u2)) 2))) 1/2)
(* (PI) (+ u2 u2))
(sqrt (* -2 (log u1)))
(* (log u1) -1/18)
(* 1/6 (sqrt (* -2 (log u1))))
(/ 1 (+ (* (cos (* (PI) (+ u2 u2))) (* 1/6 (sqrt (* -2 (log u1))))) -1/2))
Outputs
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2))) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))))))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2))) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)))))))
(+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2))) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))))) #s(literal 1 binary64)))
(+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2))) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))))) #s(literal 1/2 binary64))
(+.f64 (*.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2))) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)))))) #s(literal 1/2 binary64))
(+.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2))) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))))) #s(literal 1 binary64)) #s(literal 1/2 binary64))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/6 binary64) (*.f64 (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2))) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)))) #s(literal 1/2 binary64)))) #s(literal -1 binary64)))
(-.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2))) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))))) #s(literal -1/2 binary64))
(-.f64 (/.f64 (pow.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2))) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))))) #s(literal 2 binary64)) (fma.f64 (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2))) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)))) #s(literal -1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (fma.f64 (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2))) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)))) #s(literal -1/2 binary64))))
(fma.f64 #s(literal 1/6 binary64) (*.f64 (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2))) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)))) #s(literal 1/2 binary64))
(fma.f64 (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2))) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)))) #s(literal 1/2 binary64))
(fma.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2))) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))))) #s(literal 1/2 binary64))
(fma.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2)))) #s(literal 1/2 binary64))
(fma.f64 (*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2)))) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal 1/2 binary64))
(fma.f64 (sqrt.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)))) (*.f64 (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2))) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)))))) #s(literal 1/2 binary64))
(fma.f64 (*.f64 (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2))) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)))))) (sqrt.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)))) #s(literal 1/2 binary64))
(fma.f64 (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)))) (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2))) #s(literal 1/2 binary64))
(fma.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2))) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))))) #s(literal 1 binary64) #s(literal 1/2 binary64))
(fma.f64 (sqrt.f64 #s(literal -2 binary64)) (*.f64 (sqrt.f64 (log.f64 u1)) (*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2))))) #s(literal 1/2 binary64))
(fma.f64 (*.f64 (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2))) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)))) #s(literal 1/6 binary64) #s(literal 1/2 binary64))
(fma.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2)))) (sqrt.f64 #s(literal -2 binary64))) (sqrt.f64 (log.f64 u1)) #s(literal 1/2 binary64))
(fma.f64 (*.f64 (sqrt.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)))) (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2)))) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))))) #s(literal 1/2 binary64))
(neg.f64 (neg.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2))) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)))) #s(literal 1/2 binary64))))
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(fma.f64 (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
(fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2))) #s(literal 1/2 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2))) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (-.f64 #s(literal 1/4 binary64) (*.f64 (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2))) #s(literal 1/4 binary64)))) (fma.f64 #s(literal 1/8 binary64) (pow.f64 (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2))) #s(literal 3 binary64)) #s(literal 1/8 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2))) #s(literal 1/2 binary64) #s(literal -1/2 binary64)) (+.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2))) #s(literal 1/2 binary64)) #s(literal 2 binary64)) #s(literal -1/4 binary64))))
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(/.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2))) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (+.f64 #s(literal 1/4 binary64) (-.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2))) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (*.f64 (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2))) #s(literal 1/4 binary64)))))
(/.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2))) #s(literal 1/2 binary64)) #s(literal 2 binary64)) #s(literal -1/4 binary64)) (fma.f64 (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2))) #s(literal 1/2 binary64) #s(literal -1/2 binary64)))
(/.f64 (neg.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2))) #s(literal 3 binary64)) #s(literal 1/8 binary64))) (neg.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2))) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (-.f64 #s(literal 1/4 binary64) (*.f64 (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2))) #s(literal 1/4 binary64))))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2))) #s(literal 1/2 binary64)) #s(literal 2 binary64)) #s(literal -1/4 binary64))) (neg.f64 (fma.f64 (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2))) #s(literal 1/2 binary64) #s(literal -1/2 binary64))))
(/.f64 (-.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2))) #s(literal 1/2 binary64)) #s(literal 2 binary64))) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2))) #s(literal 1/2 binary64))))
(*.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2))) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2))) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (-.f64 #s(literal 1/4 binary64) (*.f64 (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2))) #s(literal 1/4 binary64))))))
(*.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2))) #s(literal 1/2 binary64)) #s(literal 2 binary64)) #s(literal -1/4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2))) #s(literal 1/2 binary64) #s(literal -1/2 binary64))))
(*.f64 (+.f64 (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2))) #s(literal 1 binary64)) #s(literal 1/2 binary64))
(+.f64 (*.f64 (PI.f64) (+.f64 u2 u2)) (*.f64 (PI.f64) (+.f64 u2 u2)))
(+.f64 (*.f64 (PI.f64) u2) (*.f64 (PI.f64) u2))
(+.f64 (*.f64 (*.f64 (PI.f64) u2) #s(literal 2 binary64)) (*.f64 (*.f64 (PI.f64) u2) #s(literal 2 binary64)))
(fma.f64 #s(literal 2 binary64) (*.f64 (PI.f64) (+.f64 u2 u2)) (*.f64 (PI.f64) (+.f64 u2 u2)))
(fma.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2) (*.f64 (PI.f64) (+.f64 u2 u2)))
(fma.f64 (PI.f64) u2 (*.f64 (PI.f64) u2))
(fma.f64 (PI.f64) (+.f64 u2 u2) (*.f64 (PI.f64) (+.f64 u2 u2)))
(fma.f64 u2 (PI.f64) (*.f64 (PI.f64) u2))
(fma.f64 u2 (+.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (+.f64 u2 u2)))
(fma.f64 (+.f64 u2 u2) (PI.f64) (*.f64 (PI.f64) (+.f64 u2 u2)))
(fma.f64 (+.f64 u2 u2) (*.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 (PI.f64) (+.f64 u2 u2)))
(fma.f64 (*.f64 (PI.f64) (+.f64 u2 u2)) #s(literal 2 binary64) (*.f64 (PI.f64) (+.f64 u2 u2)))
(fma.f64 #s(literal 1 binary64) (*.f64 (PI.f64) (+.f64 u2 u2)) (*.f64 (PI.f64) (+.f64 u2 u2)))
(fma.f64 #s(literal 1 binary64) (*.f64 (PI.f64) u2) (*.f64 (PI.f64) u2))
(fma.f64 (cbrt.f64 (*.f64 (PI.f64) (PI.f64))) (*.f64 (cbrt.f64 (PI.f64)) u2) (*.f64 (PI.f64) u2))
(fma.f64 (cbrt.f64 (*.f64 (PI.f64) (PI.f64))) (*.f64 (cbrt.f64 (PI.f64)) (+.f64 u2 u2)) (*.f64 (PI.f64) (+.f64 u2 u2)))
(fma.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) u2) (*.f64 (PI.f64) u2))
(fma.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) (+.f64 u2 u2)) (*.f64 (PI.f64) (+.f64 u2 u2)))
(fma.f64 (*.f64 (PI.f64) u2) #s(literal 2 binary64) (*.f64 (*.f64 (PI.f64) u2) #s(literal 2 binary64)))
(fma.f64 (*.f64 (PI.f64) #s(literal 2 binary64)) u2 (*.f64 (PI.f64) (+.f64 u2 u2)))
(fma.f64 (*.f64 (+.f64 u2 u2) #s(literal 1 binary64)) (PI.f64) (*.f64 (PI.f64) (+.f64 u2 u2)))
(fma.f64 (*.f64 (+.f64 u2 u2) (cbrt.f64 (*.f64 (PI.f64) (PI.f64)))) (cbrt.f64 (PI.f64)) (*.f64 (PI.f64) (+.f64 u2 u2)))
(fma.f64 (*.f64 (+.f64 u2 u2) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (*.f64 (PI.f64) (+.f64 u2 u2)))
(fma.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) (+.f64 u2 u2) (*.f64 (PI.f64) (+.f64 u2 u2)))
(fma.f64 (*.f64 u2 #s(literal 1 binary64)) (PI.f64) (*.f64 (PI.f64) u2))
(fma.f64 (*.f64 u2 (cbrt.f64 (*.f64 (PI.f64) (PI.f64)))) (cbrt.f64 (PI.f64)) (*.f64 (PI.f64) u2))
(fma.f64 (*.f64 u2 (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (*.f64 (PI.f64) u2))
(/.f64 (+.f64 (pow.f64 (*.f64 (PI.f64) u2) #s(literal 3 binary64)) (pow.f64 (*.f64 (PI.f64) u2) #s(literal 3 binary64))) (fma.f64 (*.f64 (PI.f64) u2) (*.f64 (PI.f64) u2) (-.f64 (*.f64 (*.f64 (PI.f64) u2) (*.f64 (PI.f64) u2)) (*.f64 (*.f64 (PI.f64) u2) (*.f64 (PI.f64) u2)))))
(/.f64 (-.f64 (*.f64 (*.f64 (PI.f64) u2) (*.f64 (PI.f64) u2)) (*.f64 (*.f64 (PI.f64) u2) (*.f64 (PI.f64) u2))) (-.f64 (*.f64 (PI.f64) u2) (*.f64 (PI.f64) u2)))
(/.f64 (*.f64 (PI.f64) (*.f64 (fma.f64 u2 u2 #s(literal 0 binary64)) (+.f64 u2 u2))) (fma.f64 u2 u2 #s(literal 0 binary64)))
(/.f64 (*.f64 (PI.f64) #s(literal 0 binary64)) #s(literal 0 binary64))
(/.f64 (*.f64 (*.f64 (fma.f64 u2 u2 #s(literal 0 binary64)) (+.f64 u2 u2)) (PI.f64)) (fma.f64 u2 u2 #s(literal 0 binary64)))
(/.f64 (*.f64 #s(literal 0 binary64) (PI.f64)) #s(literal 0 binary64))
(*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) (+.f64 u2 u2)))
(*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))
(*.f64 (PI.f64) (+.f64 u2 u2))
(*.f64 u2 (+.f64 (PI.f64) (PI.f64)))
(*.f64 (+.f64 u2 u2) (PI.f64))
(*.f64 (+.f64 u2 u2) (*.f64 (PI.f64) #s(literal 2 binary64)))
(*.f64 (*.f64 (PI.f64) (+.f64 u2 u2)) #s(literal 2 binary64))
(*.f64 #s(literal 1 binary64) (*.f64 (PI.f64) (+.f64 u2 u2)))
(*.f64 (cbrt.f64 (*.f64 (PI.f64) (PI.f64))) (*.f64 (cbrt.f64 (PI.f64)) (+.f64 u2 u2)))
(*.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) (+.f64 u2 u2)))
(*.f64 (*.f64 (PI.f64) #s(literal 2 binary64)) u2)
(*.f64 (*.f64 (+.f64 u2 u2) #s(literal 1 binary64)) (PI.f64))
(*.f64 (*.f64 (+.f64 u2 u2) (cbrt.f64 (*.f64 (PI.f64) (PI.f64)))) (cbrt.f64 (PI.f64)))
(*.f64 (*.f64 (+.f64 u2 u2) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)))
(*.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) (+.f64 u2 u2))
(exp.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)))))
(exp.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 2 binary64) (log.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))))))
(sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)))
(pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 2 binary64)) #s(literal 1/4 binary64))
(pow.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal 1 binary64))
(pow.f64 (sqrt.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)))) #s(literal 2 binary64))
(pow.f64 (*.f64 (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 2 binary64)) (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 2 binary64))) #s(literal 1/8 binary64))
(pow.f64 (exp.f64 #s(literal 1/2 binary64)) (log.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))))
(*.f64 (sqrt.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)))) (sqrt.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)))))
(*.f64 (sqrt.f64 #s(literal -2 binary64)) (sqrt.f64 (log.f64 u1)))
(*.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 #s(literal -2 binary64)))
(*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/4 binary64)) (pow.f64 (pow.f64 (log.f64 u1) #s(literal 2 binary64)) #s(literal 1/4 binary64)))
(*.f64 (log.f64 u1) #s(literal -1/18 binary64))
(*.f64 #s(literal -1/18 binary64) (log.f64 u1))
(*.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))))
(*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal 1/6 binary64))
(*.f64 (sqrt.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)))) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))))))
(*.f64 (sqrt.f64 #s(literal -2 binary64)) (*.f64 (sqrt.f64 (log.f64 u1)) #s(literal 1/6 binary64)))
(*.f64 (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))))) (sqrt.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)))))
(*.f64 (*.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -2 binary64))) (sqrt.f64 (log.f64 u1)))
(exp.f64 (*.f64 (log.f64 (fma.f64 (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2))) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)))) #s(literal -1/2 binary64))) #s(literal -1 binary64)))
(neg.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2))) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)))) #s(literal -1/2 binary64))))
(/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2))) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)))) #s(literal -1/2 binary64)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (fma.f64 (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2))) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)))) #s(literal -1/2 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (fma.f64 (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2))) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)))) #s(literal -1/2 binary64))))
(pow.f64 (fma.f64 (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2))) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)))) #s(literal -1/2 binary64)) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2))) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)))) #s(literal -1/2 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2))) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)))) #s(literal -1/2 binary64))) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2))) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)))) #s(literal -1/2 binary64)))))
(*.f64 (pow.f64 (fma.f64 (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2))) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)))) #s(literal -1/2 binary64)) #s(literal -1/2 binary64)) (pow.f64 (fma.f64 (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2))) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)))) #s(literal -1/2 binary64)) #s(literal -1/2 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2))) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))))) #s(literal 2 binary64)) #s(literal -1/4 binary64))) (fma.f64 #s(literal 1/6 binary64) (*.f64 (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2))) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)))) #s(literal 1/2 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/216 binary64) (pow.f64 (*.f64 (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2))) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)))) #s(literal 3 binary64)) #s(literal -1/8 binary64))) (+.f64 (pow.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2))) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))))) #s(literal 2 binary64)) (-.f64 #s(literal 1/4 binary64) (*.f64 (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2))) (*.f64 (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)))) #s(literal -1/2 binary64))))))

simplify110.0ms (1.1%)

Memory
-6.3MiB live, 264.2MiB allocated
Algorithm
1×egg-herbie
Rules
2×1-exp
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
047011766
147111766
047111766
Stop Event
1×saturated
1×saturated
Counts
521 → 521
Calls
Call 1
Inputs
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2))) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))))))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2))) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)))))))
(+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2))) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))))) #s(literal 1 binary64)))
(+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2))) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))))) #s(literal 1/2 binary64))
(+.f64 (*.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2))) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)))))) #s(literal 1/2 binary64))
(+.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2))) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))))) #s(literal 1 binary64)) #s(literal 1/2 binary64))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/6 binary64) (*.f64 (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2))) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)))) #s(literal 1/2 binary64)))) #s(literal -1 binary64)))
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(/.f64 (+.f64 (pow.f64 (*.f64 (PI.f64) u2) #s(literal 3 binary64)) (pow.f64 (*.f64 (PI.f64) u2) #s(literal 3 binary64))) (fma.f64 (*.f64 (PI.f64) u2) (*.f64 (PI.f64) u2) (-.f64 (*.f64 (*.f64 (PI.f64) u2) (*.f64 (PI.f64) u2)) (*.f64 (*.f64 (PI.f64) u2) (*.f64 (PI.f64) u2)))))
(/.f64 (-.f64 (*.f64 (*.f64 (PI.f64) u2) (*.f64 (PI.f64) u2)) (*.f64 (*.f64 (PI.f64) u2) (*.f64 (PI.f64) u2))) (-.f64 (*.f64 (PI.f64) u2) (*.f64 (PI.f64) u2)))
(/.f64 (*.f64 (PI.f64) (*.f64 (fma.f64 u2 u2 #s(literal 0 binary64)) (+.f64 u2 u2))) (fma.f64 u2 u2 #s(literal 0 binary64)))
(/.f64 (*.f64 (PI.f64) #s(literal 0 binary64)) #s(literal 0 binary64))
(/.f64 (*.f64 (*.f64 (fma.f64 u2 u2 #s(literal 0 binary64)) (+.f64 u2 u2)) (PI.f64)) (fma.f64 u2 u2 #s(literal 0 binary64)))
(/.f64 (*.f64 #s(literal 0 binary64) (PI.f64)) #s(literal 0 binary64))
(*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) (+.f64 u2 u2)))
(*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))
(*.f64 (PI.f64) (+.f64 u2 u2))
(*.f64 u2 (+.f64 (PI.f64) (PI.f64)))
(*.f64 (+.f64 u2 u2) (PI.f64))
(*.f64 (+.f64 u2 u2) (*.f64 (PI.f64) #s(literal 2 binary64)))
(*.f64 (*.f64 (PI.f64) (+.f64 u2 u2)) #s(literal 2 binary64))
(*.f64 #s(literal 1 binary64) (*.f64 (PI.f64) (+.f64 u2 u2)))
(*.f64 (cbrt.f64 (*.f64 (PI.f64) (PI.f64))) (*.f64 (cbrt.f64 (PI.f64)) (+.f64 u2 u2)))
(*.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) (+.f64 u2 u2)))
(*.f64 (*.f64 (PI.f64) #s(literal 2 binary64)) u2)
(*.f64 (*.f64 (+.f64 u2 u2) #s(literal 1 binary64)) (PI.f64))
(*.f64 (*.f64 (+.f64 u2 u2) (cbrt.f64 (*.f64 (PI.f64) (PI.f64)))) (cbrt.f64 (PI.f64)))
(*.f64 (*.f64 (+.f64 u2 u2) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)))
(*.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) (+.f64 u2 u2))
(+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2))) #s(literal 1/2 binary64)))
(+.f64 (*.f64 (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2))) #s(literal 1/2 binary64)) #s(literal 1/2 binary64))
(-.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2))) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (fma.f64 (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2))) #s(literal 1/2 binary64) #s(literal -1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (fma.f64 (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2))) #s(literal 1/2 binary64) #s(literal -1/2 binary64))))
(fma.f64 (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
(fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2))) #s(literal 1/2 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2))) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (-.f64 #s(literal 1/4 binary64) (*.f64 (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2))) #s(literal 1/4 binary64)))) (fma.f64 #s(literal 1/8 binary64) (pow.f64 (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2))) #s(literal 3 binary64)) #s(literal 1/8 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2))) #s(literal 1/2 binary64) #s(literal -1/2 binary64)) (+.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2))) #s(literal 1/2 binary64)) #s(literal 2 binary64)) #s(literal -1/4 binary64))))
(/.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2))) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (+.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2))) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (-.f64 #s(literal 1/4 binary64) (*.f64 (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2))) #s(literal 1/4 binary64)))))
(/.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2))) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (+.f64 #s(literal 1/4 binary64) (-.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2))) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (*.f64 (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2))) #s(literal 1/4 binary64)))))
(/.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2))) #s(literal 1/2 binary64)) #s(literal 2 binary64)) #s(literal -1/4 binary64)) (fma.f64 (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2))) #s(literal 1/2 binary64) #s(literal -1/2 binary64)))
(/.f64 (neg.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2))) #s(literal 3 binary64)) #s(literal 1/8 binary64))) (neg.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2))) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (-.f64 #s(literal 1/4 binary64) (*.f64 (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2))) #s(literal 1/4 binary64))))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2))) #s(literal 1/2 binary64)) #s(literal 2 binary64)) #s(literal -1/4 binary64))) (neg.f64 (fma.f64 (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2))) #s(literal 1/2 binary64) #s(literal -1/2 binary64))))
(/.f64 (-.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2))) #s(literal 1/2 binary64)) #s(literal 2 binary64))) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2))) #s(literal 1/2 binary64))))
(*.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2))) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2))) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (-.f64 #s(literal 1/4 binary64) (*.f64 (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2))) #s(literal 1/4 binary64))))))
(*.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2))) #s(literal 1/2 binary64)) #s(literal 2 binary64)) #s(literal -1/4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2))) #s(literal 1/2 binary64) #s(literal -1/2 binary64))))
(*.f64 (+.f64 (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2))) #s(literal 1 binary64)) #s(literal 1/2 binary64))
(+.f64 (*.f64 (PI.f64) (+.f64 u2 u2)) (*.f64 (PI.f64) (+.f64 u2 u2)))
(+.f64 (*.f64 (PI.f64) u2) (*.f64 (PI.f64) u2))
(+.f64 (*.f64 (*.f64 (PI.f64) u2) #s(literal 2 binary64)) (*.f64 (*.f64 (PI.f64) u2) #s(literal 2 binary64)))
(fma.f64 #s(literal 2 binary64) (*.f64 (PI.f64) (+.f64 u2 u2)) (*.f64 (PI.f64) (+.f64 u2 u2)))
(fma.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2) (*.f64 (PI.f64) (+.f64 u2 u2)))
(fma.f64 (PI.f64) u2 (*.f64 (PI.f64) u2))
(fma.f64 (PI.f64) (+.f64 u2 u2) (*.f64 (PI.f64) (+.f64 u2 u2)))
(fma.f64 u2 (PI.f64) (*.f64 (PI.f64) u2))
(fma.f64 u2 (+.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (+.f64 u2 u2)))
(fma.f64 (+.f64 u2 u2) (PI.f64) (*.f64 (PI.f64) (+.f64 u2 u2)))
(fma.f64 (+.f64 u2 u2) (*.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 (PI.f64) (+.f64 u2 u2)))
(fma.f64 (*.f64 (PI.f64) (+.f64 u2 u2)) #s(literal 2 binary64) (*.f64 (PI.f64) (+.f64 u2 u2)))
(fma.f64 #s(literal 1 binary64) (*.f64 (PI.f64) (+.f64 u2 u2)) (*.f64 (PI.f64) (+.f64 u2 u2)))
(fma.f64 #s(literal 1 binary64) (*.f64 (PI.f64) u2) (*.f64 (PI.f64) u2))
(fma.f64 (cbrt.f64 (*.f64 (PI.f64) (PI.f64))) (*.f64 (cbrt.f64 (PI.f64)) u2) (*.f64 (PI.f64) u2))
(fma.f64 (cbrt.f64 (*.f64 (PI.f64) (PI.f64))) (*.f64 (cbrt.f64 (PI.f64)) (+.f64 u2 u2)) (*.f64 (PI.f64) (+.f64 u2 u2)))
(fma.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) u2) (*.f64 (PI.f64) u2))
(fma.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) (+.f64 u2 u2)) (*.f64 (PI.f64) (+.f64 u2 u2)))
(fma.f64 (*.f64 (PI.f64) u2) #s(literal 2 binary64) (*.f64 (*.f64 (PI.f64) u2) #s(literal 2 binary64)))
(fma.f64 (*.f64 (PI.f64) #s(literal 2 binary64)) u2 (*.f64 (PI.f64) (+.f64 u2 u2)))
(fma.f64 (*.f64 (+.f64 u2 u2) #s(literal 1 binary64)) (PI.f64) (*.f64 (PI.f64) (+.f64 u2 u2)))
(fma.f64 (*.f64 (+.f64 u2 u2) (cbrt.f64 (*.f64 (PI.f64) (PI.f64)))) (cbrt.f64 (PI.f64)) (*.f64 (PI.f64) (+.f64 u2 u2)))
(fma.f64 (*.f64 (+.f64 u2 u2) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (*.f64 (PI.f64) (+.f64 u2 u2)))
(fma.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) (+.f64 u2 u2) (*.f64 (PI.f64) (+.f64 u2 u2)))
(fma.f64 (*.f64 u2 #s(literal 1 binary64)) (PI.f64) (*.f64 (PI.f64) u2))
(fma.f64 (*.f64 u2 (cbrt.f64 (*.f64 (PI.f64) (PI.f64)))) (cbrt.f64 (PI.f64)) (*.f64 (PI.f64) u2))
(fma.f64 (*.f64 u2 (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (*.f64 (PI.f64) u2))
(/.f64 (+.f64 (pow.f64 (*.f64 (PI.f64) u2) #s(literal 3 binary64)) (pow.f64 (*.f64 (PI.f64) u2) #s(literal 3 binary64))) (fma.f64 (*.f64 (PI.f64) u2) (*.f64 (PI.f64) u2) (-.f64 (*.f64 (*.f64 (PI.f64) u2) (*.f64 (PI.f64) u2)) (*.f64 (*.f64 (PI.f64) u2) (*.f64 (PI.f64) u2)))))
(/.f64 (-.f64 (*.f64 (*.f64 (PI.f64) u2) (*.f64 (PI.f64) u2)) (*.f64 (*.f64 (PI.f64) u2) (*.f64 (PI.f64) u2))) (-.f64 (*.f64 (PI.f64) u2) (*.f64 (PI.f64) u2)))
(/.f64 (*.f64 (PI.f64) (*.f64 (fma.f64 u2 u2 #s(literal 0 binary64)) (+.f64 u2 u2))) (fma.f64 u2 u2 #s(literal 0 binary64)))
(/.f64 (*.f64 (PI.f64) #s(literal 0 binary64)) #s(literal 0 binary64))
(/.f64 (*.f64 (*.f64 (fma.f64 u2 u2 #s(literal 0 binary64)) (+.f64 u2 u2)) (PI.f64)) (fma.f64 u2 u2 #s(literal 0 binary64)))
(/.f64 (*.f64 #s(literal 0 binary64) (PI.f64)) #s(literal 0 binary64))
(*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) (+.f64 u2 u2)))
(*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))
(*.f64 (PI.f64) (+.f64 u2 u2))
(*.f64 u2 (+.f64 (PI.f64) (PI.f64)))
(*.f64 (+.f64 u2 u2) (PI.f64))
(*.f64 (+.f64 u2 u2) (*.f64 (PI.f64) #s(literal 2 binary64)))
(*.f64 (*.f64 (PI.f64) (+.f64 u2 u2)) #s(literal 2 binary64))
(*.f64 #s(literal 1 binary64) (*.f64 (PI.f64) (+.f64 u2 u2)))
(*.f64 (cbrt.f64 (*.f64 (PI.f64) (PI.f64))) (*.f64 (cbrt.f64 (PI.f64)) (+.f64 u2 u2)))
(*.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) (+.f64 u2 u2)))
(*.f64 (*.f64 (PI.f64) #s(literal 2 binary64)) u2)
(*.f64 (*.f64 (+.f64 u2 u2) #s(literal 1 binary64)) (PI.f64))
(*.f64 (*.f64 (+.f64 u2 u2) (cbrt.f64 (*.f64 (PI.f64) (PI.f64)))) (cbrt.f64 (PI.f64)))
(*.f64 (*.f64 (+.f64 u2 u2) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)))
(*.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) (+.f64 u2 u2))
(exp.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)))))
(exp.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 2 binary64) (log.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))))))
(sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)))
(pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 2 binary64)) #s(literal 1/4 binary64))
(pow.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal 1 binary64))
(pow.f64 (sqrt.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)))) #s(literal 2 binary64))
(pow.f64 (*.f64 (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 2 binary64)) (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 2 binary64))) #s(literal 1/8 binary64))
(pow.f64 (exp.f64 #s(literal 1/2 binary64)) (log.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))))
(*.f64 (sqrt.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)))) (sqrt.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)))))
(*.f64 (sqrt.f64 #s(literal -2 binary64)) (sqrt.f64 (log.f64 u1)))
(*.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 #s(literal -2 binary64)))
(*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/4 binary64)) (pow.f64 (pow.f64 (log.f64 u1) #s(literal 2 binary64)) #s(literal 1/4 binary64)))
(*.f64 (log.f64 u1) #s(literal -1/18 binary64))
(*.f64 #s(literal -1/18 binary64) (log.f64 u1))
(*.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))))
(*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal 1/6 binary64))
(*.f64 (sqrt.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)))) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))))))
(*.f64 (sqrt.f64 #s(literal -2 binary64)) (*.f64 (sqrt.f64 (log.f64 u1)) #s(literal 1/6 binary64)))
(*.f64 (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))))) (sqrt.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)))))
(*.f64 (*.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -2 binary64))) (sqrt.f64 (log.f64 u1)))
(exp.f64 (*.f64 (log.f64 (fma.f64 (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2))) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)))) #s(literal -1/2 binary64))) #s(literal -1 binary64)))
(neg.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2))) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)))) #s(literal -1/2 binary64))))
(/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2))) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)))) #s(literal -1/2 binary64)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (fma.f64 (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2))) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)))) #s(literal -1/2 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (fma.f64 (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2))) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)))) #s(literal -1/2 binary64))))
(pow.f64 (fma.f64 (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2))) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)))) #s(literal -1/2 binary64)) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2))) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)))) #s(literal -1/2 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2))) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)))) #s(literal -1/2 binary64))) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2))) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)))) #s(literal -1/2 binary64)))))
(*.f64 (pow.f64 (fma.f64 (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2))) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)))) #s(literal -1/2 binary64)) #s(literal -1/2 binary64)) (pow.f64 (fma.f64 (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2))) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)))) #s(literal -1/2 binary64)) #s(literal -1/2 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2))) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))))) #s(literal 2 binary64)) #s(literal -1/4 binary64))) (fma.f64 #s(literal 1/6 binary64) (*.f64 (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2))) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)))) #s(literal 1/2 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/216 binary64) (pow.f64 (*.f64 (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2))) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)))) #s(literal 3 binary64)) #s(literal -1/8 binary64))) (+.f64 (pow.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2))) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))))) #s(literal 2 binary64)) (-.f64 #s(literal 1/4 binary64) (*.f64 (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2))) (*.f64 (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)))) #s(literal -1/2 binary64))))))
Outputs
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2))) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))))))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2))) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)))))))
(+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2))) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))))) #s(literal 1 binary64)))
(+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2))) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))))) #s(literal 1/2 binary64))
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(+.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2))) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))))) #s(literal 1 binary64)) #s(literal 1/2 binary64))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/6 binary64) (*.f64 (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2))) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)))) #s(literal 1/2 binary64)))) #s(literal -1 binary64)))
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(*.f64 (pow.f64 (fma.f64 (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2))) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)))) #s(literal -1/2 binary64)) #s(literal -1/2 binary64)) (pow.f64 (fma.f64 (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2))) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)))) #s(literal -1/2 binary64)) #s(literal -1/2 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2))) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))))) #s(literal 2 binary64)) #s(literal -1/4 binary64))) (fma.f64 #s(literal 1/6 binary64) (*.f64 (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2))) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)))) #s(literal 1/2 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/216 binary64) (pow.f64 (*.f64 (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2))) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)))) #s(literal 3 binary64)) #s(literal -1/8 binary64))) (+.f64 (pow.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2))) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))))) #s(literal 2 binary64)) (-.f64 #s(literal 1/4 binary64) (*.f64 (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2))) (*.f64 (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)))) #s(literal -1/2 binary64))))))

eval313.0ms (3.3%)

Memory
35.2MiB live, 464.1MiB allocated
Compiler

Compiled 50 386 to 1 881 computations (96.3% saved)

prune121.0ms (1.3%)

Memory
-14.6MiB live, 341.5MiB allocated
Pruning

23 alts after pruning (17 fresh and 6 done)

PrunedKeptTotal
New1 61861 624
Fresh31114
Picked145
Done022
Total1 622231 645
Accuracy
100.0%
Counts
1 645 → 23
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.2%
(fma.f64 (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/4 binary64)) (*.f64 (*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2)))) (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/4 binary64))) #s(literal 1/2 binary64))
✓99.3%
(fma.f64 (*.f64 (pow.f64 (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 2 binary64)) #s(literal 1/4 binary64)) #s(literal 1/6 binary64)) (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2))) #s(literal 1/2 binary64))
99.1%
(fma.f64 (*.f64 (pow.f64 (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/4 binary64)) #s(literal 2 binary64)) #s(literal 1/6 binary64)) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))) #s(literal 1/2 binary64))
98.5%
(fma.f64 (*.f64 (pow.f64 (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/8 binary64)) #s(literal 4 binary64)) #s(literal 1/6 binary64)) (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2))) #s(literal 1/2 binary64))
98.0%
(fma.f64 (*.f64 (pow.f64 (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/16 binary64)) #s(literal 8 binary64)) #s(literal 1/6 binary64)) (cos.f64 (*.f64 (+.f64 u2 u2) (PI.f64))) #s(literal 1/2 binary64))
99.0%
(fma.f64 (*.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)))) #s(literal 2 binary64)) #s(literal 1/6 binary64)) (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2))) #s(literal 1/2 binary64))
98.8%
(fma.f64 (*.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (log.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)))) #s(literal 1/6 binary64)) (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2))) #s(literal 1/2 binary64))
99.2%
(fma.f64 (*.f64 (*.f64 (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2))) (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/8 binary64))) #s(literal 1/6 binary64)) (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 3/8 binary64)) #s(literal 1/2 binary64))
✓99.2%
(fma.f64 (*.f64 (*.f64 (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2))) #s(literal 1/6 binary64)) (sqrt.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))))) (sqrt.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)))) #s(literal 1/2 binary64))
99.2%
(fma.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))))) (sqrt.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))))) (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2))) #s(literal 1/2 binary64))
98.5%
(fma.f64 (*.f64 (sqrt.f64 (pow.f64 (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/8 binary64)) #s(literal 8 binary64))) #s(literal 1/6 binary64)) (cos.f64 (*.f64 (+.f64 u2 u2) (PI.f64))) #s(literal 1/2 binary64))
99.0%
(fma.f64 (*.f64 (sqrt.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)))) #s(literal 4 binary64))) #s(literal 1/6 binary64)) (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2))) #s(literal 1/2 binary64))
✓99.3%
(fma.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal 1/6 binary64)) (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2))) #s(literal 1/2 binary64))
✓98.9%
(fma.f64 (*.f64 (exp.f64 (*.f64 (log.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal 1/2 binary64))) #s(literal 1/6 binary64)) (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2))) #s(literal 1/2 binary64))
✓99.3%
(fma.f64 (*.f64 (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2))) #s(literal 1/6 binary64)) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal 1/2 binary64))
97.8%
(/.f64 (fma.f64 (fma.f64 (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (*.f64 (log.f64 u1) #s(literal -1/18 binary64)) #s(literal -1/4 binary64)) (fma.f64 (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2))) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)))) #s(literal -1/2 binary64)))
97.7%
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2))) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)))) #s(literal -1/2 binary64)) (fma.f64 (fma.f64 (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (*.f64 (log.f64 u1) #s(literal -1/18 binary64)) #s(literal -1/4 binary64))))
99.0%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2)))) (pow.f64 (sqrt.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)))) #s(literal 2 binary64)) #s(literal 1/2 binary64))))
✓99.3%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2)))) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal 1/2 binary64))))
99.1%
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/4 binary64) (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 (*.f64 (PI.f64) (+.f64 u2 u2)) #s(literal 2 binary64))) #s(literal 1/2 binary64)) (*.f64 (log.f64 u1) #s(literal -1/18 binary64))))) (fma.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (*.f64 (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2))) #s(literal -1/6 binary64)) #s(literal 1/2 binary64))))
99.1%
(/.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (log.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2))) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)))) #s(literal 1/2 binary64))) #s(literal -1 binary64))))
97.7%
(*.f64 (fma.f64 (fma.f64 (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (*.f64 (log.f64 u1) #s(literal -1/18 binary64)) #s(literal -1/4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2))) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)))) #s(literal -1/2 binary64))))
99.1%
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2)))) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal 1/2 binary64)))) #s(literal -1 binary64)))
Compiler

Compiled 1 871 to 641 computations (65.7% saved)

regimes155.0ms (1.6%)

Memory
6.4MiB live, 219.6MiB allocated
Accuracy

Total -2.1b remaining (-499.9%)

Threshold costs -2.1b (-499.9%)

Counts
53 → 1
Calls
Call 1
Inputs
(fma.f64 (*.f64 (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2))) #s(literal 1/6 binary64)) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal 1/2 binary64))
(fma.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal 1/6 binary64)) (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2))) #s(literal 1/2 binary64))
(fma.f64 (*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal 1/2 binary64))
(fma.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal 1/6 binary64)) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))) #s(literal 1/2 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2)))) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal 1/2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))) #s(literal 1/2 binary64))))
(+.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/2 binary64))) (cos.f64 (*.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) u2))) #s(literal 1/2 binary64))
(fma.f64 (*.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)))) #s(literal 2 binary64)) #s(literal 1/6 binary64)) (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2))) #s(literal 1/2 binary64))
(fma.f64 (*.f64 (sqrt.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)))) #s(literal 4 binary64))) #s(literal 1/6 binary64)) (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2))) #s(literal 1/2 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2)))) (pow.f64 (sqrt.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)))) #s(literal 2 binary64)) #s(literal 1/2 binary64))))
(fma.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))))) (sqrt.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))))) (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2))) #s(literal 1/2 binary64))
(fma.f64 (*.f64 (*.f64 (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2))) #s(literal 1/6 binary64)) (sqrt.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))))) (sqrt.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)))) #s(literal 1/2 binary64))
(fma.f64 (*.f64 (*.f64 (sqrt.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)))) (sqrt.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))))) #s(literal 1/6 binary64)) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))) #s(literal 1/2 binary64))
(fma.f64 (*.f64 (pow.f64 (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/16 binary64)) #s(literal 8 binary64)) #s(literal 1/6 binary64)) (cos.f64 (*.f64 (+.f64 u2 u2) (PI.f64))) #s(literal 1/2 binary64))
(fma.f64 (*.f64 (pow.f64 (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/8 binary64)) #s(literal 4 binary64)) #s(literal 1/6 binary64)) (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2))) #s(literal 1/2 binary64))
(fma.f64 (*.f64 (pow.f64 (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 2 binary64)) #s(literal 1/4 binary64)) #s(literal 1/6 binary64)) (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2))) #s(literal 1/2 binary64))
(fma.f64 (*.f64 (pow.f64 (*.f64 #s(literal 4 binary64) (pow.f64 (log.f64 u1) #s(literal 2 binary64))) #s(literal 1/4 binary64)) #s(literal 1/6 binary64)) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))) #s(literal 1/2 binary64))
(fma.f64 (*.f64 (pow.f64 (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/16 binary64)) #s(literal 8 binary64)) #s(literal 1/6 binary64)) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))) #s(literal 1/2 binary64))
(fma.f64 (*.f64 (pow.f64 (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/8 binary64)) #s(literal 4 binary64)) #s(literal 1/6 binary64)) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))) #s(literal 1/2 binary64))
(fma.f64 (*.f64 (pow.f64 (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/4 binary64)) #s(literal 2 binary64)) #s(literal 1/6 binary64)) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))) #s(literal 1/2 binary64))
(fma.f64 (*.f64 (exp.f64 (*.f64 (log.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal 1/2 binary64))) #s(literal 1/6 binary64)) (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2))) #s(literal 1/2 binary64))
(fma.f64 (*.f64 (exp.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))))) #s(literal 1/6 binary64)) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))) #s(literal 1/2 binary64))
(fma.f64 (*.f64 (sqrt.f64 (pow.f64 (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/8 binary64)) #s(literal 8 binary64))) #s(literal 1/6 binary64)) (cos.f64 (*.f64 (+.f64 u2 u2) (PI.f64))) #s(literal 1/2 binary64))
(fma.f64 (*.f64 (sqrt.f64 (pow.f64 (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/8 binary64)) #s(literal 8 binary64))) #s(literal 1/6 binary64)) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))) #s(literal 1/2 binary64))
(fma.f64 (*.f64 (sqrt.f64 (pow.f64 (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/4 binary64)) #s(literal 4 binary64))) #s(literal 1/6 binary64)) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))) #s(literal 1/2 binary64))
(+.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) (pow.f64 (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/4 binary64)) #s(literal 2 binary64))) (cos.f64 (*.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) u2))) #s(literal 1/2 binary64))
(+.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) (pow.f64 (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 2 binary64)) #s(literal 1/4 binary64))) (cos.f64 (*.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) u2))) #s(literal 1/2 binary64))
(+.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) (exp.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)))))) (cos.f64 (*.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) u2))) #s(literal 1/2 binary64))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2)))) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal 1/2 binary64)))) #s(literal -1 binary64)))
(/.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (log.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2))) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)))) #s(literal 1/2 binary64))) #s(literal -1 binary64))))
(/.f64 (fma.f64 (fma.f64 (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (*.f64 (log.f64 u1) #s(literal -1/18 binary64)) #s(literal -1/4 binary64)) (fma.f64 (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2))) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)))) #s(literal -1/2 binary64)))
(*.f64 (fma.f64 (fma.f64 (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (*.f64 (log.f64 u1) #s(literal -1/18 binary64)) #s(literal -1/4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2))) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)))) #s(literal -1/2 binary64))))
(/.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 (*.f64 (PI.f64) (+.f64 u2 u2)) #s(literal 2 binary64))) #s(literal 1/2 binary64)) (*.f64 (log.f64 u1) #s(literal -1/18 binary64)) #s(literal -1/4 binary64)) (fma.f64 (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2))) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)))) #s(literal -1/2 binary64)))
(*.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 (*.f64 (PI.f64) (+.f64 u2 u2)) #s(literal 2 binary64))) #s(literal 1/2 binary64)) (*.f64 (log.f64 u1) #s(literal -1/18 binary64)) #s(literal -1/4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2))) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)))) #s(literal -1/2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2))) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)))) #s(literal -1/2 binary64)) (fma.f64 (fma.f64 (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (*.f64 (log.f64 u1) #s(literal -1/18 binary64)) #s(literal -1/4 binary64))))
(/.f64 (fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) (+.f64 u2 u2)))))) (*.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/36 binary64)) #s(literal -1/4 binary64)) (fma.f64 (*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2)))) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal -1/2 binary64)))
(/.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) (+.f64 u2 u2)))))) (*.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/36 binary64)))) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2)))) #s(literal -1/6 binary64))))
(*.f64 (fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) (+.f64 u2 u2)))))) (*.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/36 binary64)) #s(literal -1/4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2)))) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal -1/2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2))) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)))))) (-.f64 #s(literal 1/4 binary64) (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 (*.f64 (PI.f64) (+.f64 u2 u2)) #s(literal 2 binary64))) #s(literal 1/2 binary64)) (*.f64 (log.f64 u1) #s(literal -1/18 binary64))))))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/4 binary64) (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 (*.f64 (PI.f64) (+.f64 u2 u2)) #s(literal 2 binary64))) #s(literal 1/2 binary64)) (*.f64 (log.f64 u1) #s(literal -1/18 binary64))))) (fma.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (*.f64 (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2))) #s(literal -1/6 binary64)) #s(literal 1/2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2)))) #s(literal -1/6 binary64))) (-.f64 #s(literal 1/4 binary64) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) (+.f64 u2 u2)))))) (*.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/36 binary64))))))
(fma.f64 (*.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (log.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)))) #s(literal 1/6 binary64)) (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2))) #s(literal 1/2 binary64))
(fma.f64 (*.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (log.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)))) #s(literal 1/6 binary64)) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))) #s(literal 1/2 binary64))
(fma.f64 (*.f64 (*.f64 (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2))) (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/8 binary64))) #s(literal 1/6 binary64)) (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 3/8 binary64)) #s(literal 1/2 binary64))
(fma.f64 (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/4 binary64)) (*.f64 (*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2)))) (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/4 binary64))) #s(literal 1/2 binary64))
(fma.f64 (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/4 binary64)) (*.f64 (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/4 binary64)) (*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))))) #s(literal 1/2 binary64))
(+.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (log.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))))) (cos.f64 (*.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) u2))) #s(literal 1/2 binary64))
(/.f64 (fma.f64 #s(literal 1/36 binary64) (pow.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))) #s(literal 2 binary64)) #s(literal -1/4 binary64)) (fma.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))) #s(literal -1/2 binary64)))
(/.f64 (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal -1/36 binary64) (pow.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))) #s(literal 2 binary64)))) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))) #s(literal -1/6 binary64))))
(+.f64 (*.f64 (*.f64 (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/8 binary64)) (*.f64 (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/8 binary64)) (*.f64 #s(literal 1/6 binary64) (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/4 binary64))))) (cos.f64 (*.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) u2))) #s(literal 1/2 binary64))
(+.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) (*.f64 (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/8 binary64)) (*.f64 (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/8 binary64)) (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/4 binary64))))) (cos.f64 (*.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) u2))) #s(literal 1/2 binary64))
(/.f64 (fma.f64 #s(literal 1/216 binary64) (pow.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (fma.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))))) (fma.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))) #s(literal -1/2 binary64)) #s(literal 1/4 binary64)))
(*.f64 (fma.f64 #s(literal 1/216 binary64) (pow.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))))) (fma.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))) #s(literal -1/2 binary64)) #s(literal 1/4 binary64))))
Outputs
(fma.f64 (*.f64 (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2))) #s(literal 1/6 binary64)) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal 1/2 binary64))
Calls

10 calls:

20.0ms
(*.f64 #s(literal -2 binary64) (log.f64 u1))
20.0ms
(*.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) u2)
18.0ms
u2
15.0ms
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/2 binary64))) (cos.f64 (*.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) u2)))
15.0ms
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/2 binary64)))
Results
AccuracySegmentsBranch
99.3%1u1
99.3%1u2
99.3%1(+.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/2 binary64))) (cos.f64 (*.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) u2))) #s(literal 1/2 binary64))
99.3%1(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/2 binary64))) (cos.f64 (*.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) u2)))
99.3%1(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/2 binary64)))
99.3%1(pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/2 binary64))
99.3%1(*.f64 #s(literal -2 binary64) (log.f64 u1))
99.3%1(log.f64 u1)
99.3%1(cos.f64 (*.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) u2))
99.3%1(*.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) u2)
Compiler

Compiled 91 to 78 computations (14.3% saved)

simplify8.0ms (0.1%)

Memory
-24.9MiB live, 14.3MiB allocated
Algorithm
1×egg-herbie
Rules
6×*-commutative_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01415
11715
Stop Event
1×saturated
Calls
Call 1
Inputs
(fma.f64 (*.f64 (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2))) #s(literal 1/6 binary64)) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal 1/2 binary64))
Outputs
(fma.f64 (*.f64 (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2))) #s(literal 1/6 binary64)) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal 1/2 binary64))

soundness196.0ms (2%)

Memory
25.4MiB live, 180.5MiB allocated
Rules
5 552×accelerator-lowering-fma.f32
5 552×accelerator-lowering-fma.f64
5 490×*-lowering-*.f32
5 490×*-lowering-*.f64
2 664×accelerator-lowering-fma.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
045226
1210226
21069219
35876219
08645214
01948
17048
236148
0283247
Stop Event
1×fuel
1×iter limit
1×iter limit
1×node limit
1×iter limit
1×node limit
Compiler

Compiled 51 to 43 computations (15.7% saved)

preprocess51.0ms (0.5%)

Memory
-24.0MiB live, 51.8MiB allocated
Remove

(abs u2)

Compiler

Compiled 110 to 92 computations (16.4% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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