normal distribution

Time bar (total: 13.1s)

analyze24.0ms (0.2%)

Memory
-8.1MiB live, 29.9MiB 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 (14.4%)

Memory
73.4MiB live, 1 764.4MiB allocated
Samples
1.4s8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 966.0ms
ival-mult: 274.0ms (28.4% of total)
ival-<=: 240.0ms (24.8% of total)
ival-log: 153.0ms (15.8% of total)
ival-div: 73.0ms (7.6% of total)
ival-cos: 55.0ms (5.7% of total)
ival-sqrt: 55.0ms (5.7% of total)
ival-add: 40.0ms (4.1% of total)
ival-pi: 28.0ms (2.9% of total)
exact: 24.0ms (2.5% of total)
ival-and: 21.0ms (2.2% of total)
ival-assert: 3.0ms (0.3% of total)
Bogosity

preprocess27.0ms (0.2%)

Memory
-3.6MiB live, 35.3MiB allocated
Algorithm
2×egg-herbie
Rules
120×sub-neg
102×associate-*l*
86×*-commutative
82×associate-*r*
82×distribute-lft-in
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
041101
19498
219598
337398
443098
549398
657598
761698
867298
969498
1069498
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)
(+.f64 #s(literal 1/2 binary64) (*.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))))))
Call 2
Inputs
(+ (* (* (/ 1 6) (pow (* -2 (log u1)) 1/2)) (cos (* (* 2 (PI)) u2))) 1/2)
(+ (* (* (/ 1 6) (pow (* -2 (log (neg u1))) 1/2)) (cos (* (* 2 (PI)) u2))) 1/2)
(+ (* (* (/ 1 6) (pow (* -2 (log u1)) 1/2)) (cos (* (* 2 (PI)) (neg u2)))) 1/2)
(neg (+ (* (* (/ 1 6) (pow (* -2 (log (neg u1))) 1/2)) (cos (* (* 2 (PI)) u2))) 1/2))
(neg (+ (* (* (/ 1 6) (pow (* -2 (log u1)) 1/2)) (cos (* (* 2 (PI)) (neg u2)))) 1/2))
(+ (* (* (/ 1 6) (pow (* -2 (log u2)) 1/2)) (cos (* (* 2 (PI)) u1))) 1/2)
Outputs
(+ (* (* (/ 1 6) (pow (* -2 (log u1)) 1/2)) (cos (* (* 2 (PI)) u2))) 1/2)
(+ 1/2 (* (sqrt (* -2 (log u1))) (* 1/6 (cos (* 2 (* (PI) u2))))))
(+ (* (* (/ 1 6) (pow (* -2 (log (neg u1))) 1/2)) (cos (* (* 2 (PI)) u2))) 1/2)
(+ 1/2 (* (sqrt (* -2 (log (neg u1)))) (* 1/6 (cos (* 2 (* (PI) u2))))))
(+ (* (* (/ 1 6) (pow (* -2 (log u1)) 1/2)) (cos (* (* 2 (PI)) (neg u2)))) 1/2)
(+ 1/2 (* (sqrt (* -2 (log u1))) (* 1/6 (cos (* 2 (* (PI) u2))))))
(neg (+ (* (* (/ 1 6) (pow (* -2 (log (neg u1))) 1/2)) (cos (* (* 2 (PI)) u2))) 1/2))
(+ -1/2 (* (sqrt (* -2 (log (neg u1)))) (* (cos (* 2 (* (PI) u2))) -1/6)))
(neg (+ (* (* (/ 1 6) (pow (* -2 (log u1)) 1/2)) (cos (* (* 2 (PI)) (neg u2)))) 1/2))
(+ (* (sqrt (* -2 (log u1))) (* (cos (* 2 (* (PI) u2))) -1/6)) -1/2)
(+ (* (* (/ 1 6) (pow (* -2 (log u2)) 1/2)) (cos (* (* 2 (PI)) u1))) 1/2)
(+ 1/2 (* 1/6 (* (sqrt (* -2 (log u2))) (cos (* u1 (* 2 (PI)))))))
Symmetry

(abs u2)

explain213.0ms (1.6%)

Memory
-13.7MiB live, 275.6MiB 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
62.0ms512×0valid
Compiler

Compiled 212 to 76 computations (64.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 40.0ms
ival-mult: 14.0ms (35.2% of total)
ival-div: 6.0ms (15.1% of total)
ival-log: 6.0ms (15.1% of total)
ival-cos: 4.0ms (10.1% of total)
ival-sqrt: 3.0ms (7.5% of total)
ival-pi: 2.0ms (5% of total)
ival-add: 2.0ms (5% 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
0.3MiB live, 0.3MiB allocated
Compiler

Compiled 2 to 2 computations (0% saved)

prune1.0ms (0%)

Memory
1.0MiB live, 1.0MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶99.4%
(+.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
4.3MiB live, 4.3MiB 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-diff0
(+.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-diff64
(pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/2 binary64))
✓cost-diff128
(/.f64 #s(literal 1 binary64) #s(literal 6 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)
(+.f64 #s(literal 1/2 binary64) (*.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)) (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

localize52.0ms (0.4%)

Memory
1.6MiB live, 77.2MiB 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))
✓accuracy99.6%
(*.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: 20.0ms
ival-mult: 8.0ms (39.2% of total)
ival-log: 3.0ms (14.7% of total)
ival-div: 2.0ms (9.8% of total)
ival-cos: 2.0ms (9.8% of total)
ival-sqrt: 2.0ms (9.8% of total)
ival-pi: 1.0ms (4.9% of total)
ival-add: 1.0ms (4.9% of total)
exact: 1.0ms (4.9% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series80.0ms (0.6%)

Memory
36.5MiB live, 113.4MiB allocated
Counts
6 → 84
Calls
Call 1
Inputs
#<alt (/ 1 6)>
#<alt (pow (* -2 (log u1)) 1/2)>
#<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
29.0ms
u1
@0
(pow (* -2 (log u1)) 1/2)
18.0ms
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
u1
@inf
(+ (* (* (/ 1 6) (pow (* -2 (log u1)) 1/2)) (cos (* (* 2 (PI)) u2))) 1/2)

rewrite193.0ms (1.5%)

Memory
-17.1MiB live, 261.7MiB 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
0283647
Stop Event
1×iter limit
1×iter limit
1×node limit
Counts
6 → 176
Calls
Call 1
Inputs
(/ 1 6)
(pow (* -2 (log u1)) 1/2)
(+ (* (* (/ 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
#s(literal 1/6 binary64)
(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 (+.f64 (*.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)))
(+.f64 #s(literal 1/2 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 (*.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 (pow.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))))) #s(literal 2 binary64)) (+.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))))) #s(literal -1/2 binary64))) (neg.f64 (/.f64 #s(literal 1/4 binary64) (+.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))))) #s(literal -1/2 binary64)))))
(-.f64 (/.f64 (pow.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))))) #s(literal 2 binary64)) (+.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))))) #s(literal -1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (+.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))))) #s(literal -1/2 binary64))))
(-.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1/2 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 (pow.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))))) #s(literal 2 binary64)) (-.f64 #s(literal 1/2 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))))))))
(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))
(fma.f64 #s(literal 1/6 binary64) (/.f64 (*.f64 (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 1/6 binary64)) (+.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))))) #s(literal -1/2 binary64))) (neg.f64 (/.f64 #s(literal 1/4 binary64) (+.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))))) #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 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))) #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 #s(literal 2 binary64) (*.f64 (PI.f64) 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 1/6 binary64) (sqrt.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 #s(literal 2 binary64) (*.f64 (PI.f64) u2))))))) (+.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))))) #s(literal -1/2 binary64))) (neg.f64 (/.f64 #s(literal 1/4 binary64) (+.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))))) #s(literal -1/2 binary64)))))
(fma.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) 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 #s(literal 2 binary64) (*.f64 (PI.f64) u2))) (/.f64 (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))) (pow.f64 (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)))) #s(literal 2 binary64))) (+.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))))) #s(literal -1/2 binary64))) (neg.f64 (/.f64 #s(literal 1/4 binary64) (+.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))))) #s(literal -1/2 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))))) (/.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))))) (+.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))))) #s(literal -1/2 binary64))) (neg.f64 (/.f64 #s(literal 1/4 binary64) (+.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))))) #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 #s(literal 2 binary64) (*.f64 (PI.f64) u2))))) #s(literal 1/2 binary64))
(fma.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)))) #s(literal 1/2 binary64))
(fma.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)) #s(literal 1/2 binary64))
(fma.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))))) #s(literal 1/2 binary64))
(fma.f64 (pow.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))))) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (+.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))))) #s(literal -1/2 binary64))) (neg.f64 (/.f64 #s(literal 1/4 binary64) (+.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))))) #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))
(fma.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)))) #s(literal 1/2 binary64))
(fma.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)) #s(literal 1/2 binary64))
(fma.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) #s(literal 1/2 binary64))
(fma.f64 #s(literal 1/36 binary64) (/.f64 (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 (*.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))) (neg.f64 (/.f64 #s(literal 1/4 binary64) (+.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))))) #s(literal -1/2 binary64)))))
(fma.f64 (pow.f64 (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)))) #s(literal 2 binary64)) (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))))) (+.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))))) #s(literal -1/2 binary64))) (neg.f64 (/.f64 #s(literal 1/4 binary64) (+.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))))) #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 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))))) (/.f64 (pow.f64 (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)))) #s(literal 2 binary64)) (+.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))))) #s(literal -1/2 binary64))) (neg.f64 (/.f64 #s(literal 1/4 binary64) (+.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))))) #s(literal -1/2 binary64)))))
(fma.f64 (*.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 1/36 binary64)) (/.f64 (*.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))) (*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))))) #s(literal -1/2 binary64))) (neg.f64 (/.f64 #s(literal 1/4 binary64) (+.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))))) #s(literal -1/2 binary64)))))
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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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simplify1.7s (13%)

Memory
-18.6MiB live, 1 394.7MiB allocated
Algorithm
1×egg-herbie
Rules
43 450×accelerator-lowering-fma.f32
43 450×accelerator-lowering-fma.f64
7 804×+-lowering-+.f64
7 804×+-lowering-+.f32
5 834×*-lowering-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0831292
12051260
26231232
322011204
428111198
539221198
653521198
754801198
855421198
955591198
1055651198
1155651198
1279931198
1379931198
1479931198
080131162
Stop Event
1×iter limit
1×node limit
Counts
84 → 84
Calls
Call 1
Inputs
(* (sqrt (log u1)) (sqrt -2))
(* (sqrt (log u1)) (sqrt -2))
(* (sqrt (log u1)) (sqrt -2))
(* (sqrt (log u1)) (sqrt -2))
(* (sqrt (log (/ 1 u1))) (sqrt 2))
(* (sqrt (log (/ 1 u1))) (sqrt 2))
(* (sqrt (log (/ 1 u1))) (sqrt 2))
(* (sqrt (log (/ 1 u1))) (sqrt 2))
(* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))
(* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))
(* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))
(* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))))
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))))
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))))
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))))
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -2) (sqrt -1))) (sqrt (log (/ 1 u1))))))
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -2) (sqrt -1))) (sqrt (log (/ 1 u1))))))
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -2) (sqrt -1))) (sqrt (log (/ 1 u1))))))
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -2) (sqrt -1))) (sqrt (log (/ 1 u1))))))
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))))
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))))
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))))
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))))
(+ 1/2 (* 1/6 (* (sqrt (log u1)) (sqrt -2))))
(+ 1/2 (+ (* -1/3 (* (* (pow u2 2) (* (pow (PI) 2) (sqrt -2))) (sqrt (log u1)))) (* 1/6 (* (sqrt (log u1)) (sqrt -2)))))
(+ 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))))))))
(+ 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))))))))))
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))))
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))))
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))))
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))))
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))))
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))))
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))))
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))))
(* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1))))
(* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1))))
(* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1))))
(* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1))))
(* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -2) (sqrt -1))) (sqrt (log (/ 1 u1)))))
(* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -2) (sqrt -1))) (sqrt (log (/ 1 u1)))))
(* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -2) (sqrt -1))) (sqrt (log (/ 1 u1)))))
(* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -2) (sqrt -1))) (sqrt (log (/ 1 u1)))))
(* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))))
(* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))))
(* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))))
(* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))))
(* 1/6 (* (sqrt (log u1)) (sqrt -2)))
(+ (* -1/3 (* (* (pow u2 2) (* (pow (PI) 2) (sqrt -2))) (sqrt (log u1)))) (* 1/6 (* (sqrt (log u1)) (sqrt -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)))))))
(+ (* 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)))))))))
(* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1))))
(* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1))))
(* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1))))
(* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1))))
(* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1))))
(* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1))))
(* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1))))
(* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1))))
(* 1/6 (* (sqrt (log u1)) (sqrt -2)))
(* 1/6 (* (sqrt (log u1)) (sqrt -2)))
(* 1/6 (* (sqrt (log u1)) (sqrt -2)))
(* 1/6 (* (sqrt (log u1)) (sqrt -2)))
(* 1/6 (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1))))
(* 1/6 (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1))))
(* 1/6 (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1))))
(* 1/6 (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1))))
(* 1/6 (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))))
(* 1/6 (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))))
(* 1/6 (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))))
(* 1/6 (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))))
(* 2 (* u2 (PI)))
(* 2 (* u2 (PI)))
(* 2 (* u2 (PI)))
(* 2 (* u2 (PI)))
(* 2 (* u2 (PI)))
(* 2 (* u2 (PI)))
(* 2 (* u2 (PI)))
(* 2 (* u2 (PI)))
(* 2 (* u2 (PI)))
(* 2 (* u2 (PI)))
(* 2 (* u2 (PI)))
(* 2 (* u2 (PI)))
Outputs
(* (sqrt (log u1)) (sqrt -2))
(*.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 #s(literal -2 binary64)))
(* (sqrt (log u1)) (sqrt -2))
(*.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 #s(literal -2 binary64)))
(* (sqrt (log u1)) (sqrt -2))
(*.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 #s(literal -2 binary64)))
(* (sqrt (log u1)) (sqrt -2))
(*.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 #s(literal -2 binary64)))
(* (sqrt (log (/ 1 u1))) (sqrt 2))
(*.f64 (sqrt.f64 (log.f64 (/.f64 #s(literal 1 binary64) u1))) (sqrt.f64 #s(literal 2 binary64)))
(* (sqrt (log (/ 1 u1))) (sqrt 2))
(*.f64 (sqrt.f64 (log.f64 (/.f64 #s(literal 1 binary64) u1))) (sqrt.f64 #s(literal 2 binary64)))
(* (sqrt (log (/ 1 u1))) (sqrt 2))
(*.f64 (sqrt.f64 (log.f64 (/.f64 #s(literal 1 binary64) u1))) (sqrt.f64 #s(literal 2 binary64)))
(* (sqrt (log (/ 1 u1))) (sqrt 2))
(*.f64 (sqrt.f64 (log.f64 (/.f64 #s(literal 1 binary64) u1))) (sqrt.f64 #s(literal 2 binary64)))
(* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))
(*.f64 (sqrt.f64 #s(literal -2 binary64)) (sqrt.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) u1)))))
(* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))
(*.f64 (sqrt.f64 #s(literal -2 binary64)) (sqrt.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) u1)))))
(* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))
(*.f64 (sqrt.f64 #s(literal -2 binary64)) (sqrt.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) u1)))))
(* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))
(*.f64 (sqrt.f64 #s(literal -2 binary64)) (sqrt.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) u1)))))
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))))
(+.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (log.f64 u1)) (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 u2 (PI.f64)))) (*.f64 (sqrt.f64 #s(literal -2 binary64)) #s(literal 1/6 binary64)))))
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))))
(+.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (log.f64 u1)) (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 u2 (PI.f64)))) (*.f64 (sqrt.f64 #s(literal -2 binary64)) #s(literal 1/6 binary64)))))
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))))
(+.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (log.f64 u1)) (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 u2 (PI.f64)))) (*.f64 (sqrt.f64 #s(literal -2 binary64)) #s(literal 1/6 binary64)))))
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))))
(+.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (log.f64 u1)) (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 u2 (PI.f64)))) (*.f64 (sqrt.f64 #s(literal -2 binary64)) #s(literal 1/6 binary64)))))
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -2) (sqrt -1))) (sqrt (log (/ 1 u1))))))
(+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (sqrt.f64 (log.f64 (/.f64 #s(literal 1 binary64) u1))) (*.f64 (sqrt.f64 #s(literal -2 binary64)) #s(literal 1/6 binary64))) (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 u2 (PI.f64)))) (sqrt.f64 #s(literal -1 binary64)))))
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -2) (sqrt -1))) (sqrt (log (/ 1 u1))))))
(+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (sqrt.f64 (log.f64 (/.f64 #s(literal 1 binary64) u1))) (*.f64 (sqrt.f64 #s(literal -2 binary64)) #s(literal 1/6 binary64))) (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 u2 (PI.f64)))) (sqrt.f64 #s(literal -1 binary64)))))
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -2) (sqrt -1))) (sqrt (log (/ 1 u1))))))
(+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (sqrt.f64 (log.f64 (/.f64 #s(literal 1 binary64) u1))) (*.f64 (sqrt.f64 #s(literal -2 binary64)) #s(literal 1/6 binary64))) (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 u2 (PI.f64)))) (sqrt.f64 #s(literal -1 binary64)))))
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -2) (sqrt -1))) (sqrt (log (/ 1 u1))))))
(+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (sqrt.f64 (log.f64 (/.f64 #s(literal 1 binary64) u1))) (*.f64 (sqrt.f64 #s(literal -2 binary64)) #s(literal 1/6 binary64))) (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 u2 (PI.f64)))) (sqrt.f64 #s(literal -1 binary64)))))
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))))
(+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 u2 (PI.f64)))) (*.f64 (sqrt.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) u1)))) (*.f64 (sqrt.f64 #s(literal -2 binary64)) #s(literal 1/6 binary64)))))
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))))
(+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 u2 (PI.f64)))) (*.f64 (sqrt.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) u1)))) (*.f64 (sqrt.f64 #s(literal -2 binary64)) #s(literal 1/6 binary64)))))
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))))
(+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 u2 (PI.f64)))) (*.f64 (sqrt.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) u1)))) (*.f64 (sqrt.f64 #s(literal -2 binary64)) #s(literal 1/6 binary64)))))
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))))
(+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 u2 (PI.f64)))) (*.f64 (sqrt.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) u1)))) (*.f64 (sqrt.f64 #s(literal -2 binary64)) #s(literal 1/6 binary64)))))
(+ 1/2 (* 1/6 (* (sqrt (log u1)) (sqrt -2))))
(+.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (log.f64 u1)) (*.f64 (sqrt.f64 #s(literal -2 binary64)) #s(literal 1/6 binary64))))
(+ 1/2 (+ (* -1/3 (* (* (pow u2 2) (* (pow (PI) 2) (sqrt -2))) (sqrt (log u1)))) (* 1/6 (* (sqrt (log u1)) (sqrt -2)))))
(+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 #s(literal -2 binary64))) (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 u2 u2)) (*.f64 (PI.f64) (PI.f64))))))
(+ 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))))))))
(+.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (log.f64 u1)) (*.f64 (sqrt.f64 #s(literal -2 binary64)) (+.f64 (*.f64 (*.f64 u2 u2) (+.f64 (*.f64 (*.f64 #s(literal 1/9 binary64) (pow.f64 (PI.f64) #s(literal 4 binary64))) (*.f64 u2 u2)) (*.f64 #s(literal -1/3 binary64) (*.f64 (PI.f64) (PI.f64))))) #s(literal 1/6 binary64)))))
(+ 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))))))))))
(+.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (log.f64 u1)) (+.f64 (*.f64 (sqrt.f64 #s(literal -2 binary64)) #s(literal 1/6 binary64)) (*.f64 (*.f64 u2 u2) (*.f64 (sqrt.f64 #s(literal -2 binary64)) (+.f64 (*.f64 (*.f64 u2 u2) (+.f64 (*.f64 (*.f64 (*.f64 u2 u2) #s(literal -2/135 binary64)) (pow.f64 (PI.f64) #s(literal 6 binary64))) (*.f64 #s(literal 1/9 binary64) (pow.f64 (PI.f64) #s(literal 4 binary64))))) (*.f64 #s(literal -1/3 binary64) (*.f64 (PI.f64) (PI.f64)))))))))
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))))
(+.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (log.f64 u1)) (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 u2 (PI.f64)))) (*.f64 (sqrt.f64 #s(literal -2 binary64)) #s(literal 1/6 binary64)))))
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))))
(+.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (log.f64 u1)) (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 u2 (PI.f64)))) (*.f64 (sqrt.f64 #s(literal -2 binary64)) #s(literal 1/6 binary64)))))
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))))
(+.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (log.f64 u1)) (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 u2 (PI.f64)))) (*.f64 (sqrt.f64 #s(literal -2 binary64)) #s(literal 1/6 binary64)))))
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))))
(+.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (log.f64 u1)) (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 u2 (PI.f64)))) (*.f64 (sqrt.f64 #s(literal -2 binary64)) #s(literal 1/6 binary64)))))
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))))
(+.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (log.f64 u1)) (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 u2 (PI.f64)))) (*.f64 (sqrt.f64 #s(literal -2 binary64)) #s(literal 1/6 binary64)))))
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))))
(+.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (log.f64 u1)) (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 u2 (PI.f64)))) (*.f64 (sqrt.f64 #s(literal -2 binary64)) #s(literal 1/6 binary64)))))
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))))
(+.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (log.f64 u1)) (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 u2 (PI.f64)))) (*.f64 (sqrt.f64 #s(literal -2 binary64)) #s(literal 1/6 binary64)))))
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))))
(+.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (log.f64 u1)) (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 u2 (PI.f64)))) (*.f64 (sqrt.f64 #s(literal -2 binary64)) #s(literal 1/6 binary64)))))
(* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1))))
(*.f64 (sqrt.f64 (log.f64 u1)) (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 u2 (PI.f64)))) (*.f64 (sqrt.f64 #s(literal -2 binary64)) #s(literal 1/6 binary64))))
(* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1))))
(*.f64 (sqrt.f64 (log.f64 u1)) (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 u2 (PI.f64)))) (*.f64 (sqrt.f64 #s(literal -2 binary64)) #s(literal 1/6 binary64))))
(* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1))))
(*.f64 (sqrt.f64 (log.f64 u1)) (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 u2 (PI.f64)))) (*.f64 (sqrt.f64 #s(literal -2 binary64)) #s(literal 1/6 binary64))))
(* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1))))
(*.f64 (sqrt.f64 (log.f64 u1)) (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 u2 (PI.f64)))) (*.f64 (sqrt.f64 #s(literal -2 binary64)) #s(literal 1/6 binary64))))
(* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -2) (sqrt -1))) (sqrt (log (/ 1 u1)))))
(*.f64 (*.f64 (sqrt.f64 (log.f64 (/.f64 #s(literal 1 binary64) u1))) (*.f64 (sqrt.f64 #s(literal -2 binary64)) #s(literal 1/6 binary64))) (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 u2 (PI.f64)))) (sqrt.f64 #s(literal -1 binary64))))
(* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -2) (sqrt -1))) (sqrt (log (/ 1 u1)))))
(*.f64 (*.f64 (sqrt.f64 (log.f64 (/.f64 #s(literal 1 binary64) u1))) (*.f64 (sqrt.f64 #s(literal -2 binary64)) #s(literal 1/6 binary64))) (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 u2 (PI.f64)))) (sqrt.f64 #s(literal -1 binary64))))
(* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -2) (sqrt -1))) (sqrt (log (/ 1 u1)))))
(*.f64 (*.f64 (sqrt.f64 (log.f64 (/.f64 #s(literal 1 binary64) u1))) (*.f64 (sqrt.f64 #s(literal -2 binary64)) #s(literal 1/6 binary64))) (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 u2 (PI.f64)))) (sqrt.f64 #s(literal -1 binary64))))
(* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -2) (sqrt -1))) (sqrt (log (/ 1 u1)))))
(*.f64 (*.f64 (sqrt.f64 (log.f64 (/.f64 #s(literal 1 binary64) u1))) (*.f64 (sqrt.f64 #s(literal -2 binary64)) #s(literal 1/6 binary64))) (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 u2 (PI.f64)))) (sqrt.f64 #s(literal -1 binary64))))
(* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))))
(*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 u2 (PI.f64)))) (*.f64 (sqrt.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) u1)))) (*.f64 (sqrt.f64 #s(literal -2 binary64)) #s(literal 1/6 binary64))))
(* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))))
(*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 u2 (PI.f64)))) (*.f64 (sqrt.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) u1)))) (*.f64 (sqrt.f64 #s(literal -2 binary64)) #s(literal 1/6 binary64))))
(* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))))
(*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 u2 (PI.f64)))) (*.f64 (sqrt.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) u1)))) (*.f64 (sqrt.f64 #s(literal -2 binary64)) #s(literal 1/6 binary64))))
(* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))))
(*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 u2 (PI.f64)))) (*.f64 (sqrt.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) u1)))) (*.f64 (sqrt.f64 #s(literal -2 binary64)) #s(literal 1/6 binary64))))
(* 1/6 (* (sqrt (log u1)) (sqrt -2)))
(*.f64 (sqrt.f64 (log.f64 u1)) (*.f64 (sqrt.f64 #s(literal -2 binary64)) #s(literal 1/6 binary64)))
(+ (* -1/3 (* (* (pow u2 2) (* (pow (PI) 2) (sqrt -2))) (sqrt (log u1)))) (* 1/6 (* (sqrt (log u1)) (sqrt -2))))
(*.f64 (*.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 #s(literal -2 binary64))) (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 u2 u2)) (*.f64 (PI.f64) (PI.f64)))))
(+ (* 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)))))))
(*.f64 (sqrt.f64 (log.f64 u1)) (*.f64 (sqrt.f64 #s(literal -2 binary64)) (+.f64 (*.f64 (*.f64 u2 u2) (+.f64 (*.f64 (*.f64 #s(literal 1/9 binary64) (pow.f64 (PI.f64) #s(literal 4 binary64))) (*.f64 u2 u2)) (*.f64 #s(literal -1/3 binary64) (*.f64 (PI.f64) (PI.f64))))) #s(literal 1/6 binary64))))
(+ (* 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)))))))))
(*.f64 (sqrt.f64 (log.f64 u1)) (+.f64 (*.f64 (sqrt.f64 #s(literal -2 binary64)) #s(literal 1/6 binary64)) (*.f64 (*.f64 u2 u2) (*.f64 (sqrt.f64 #s(literal -2 binary64)) (+.f64 (*.f64 (*.f64 u2 u2) (+.f64 (*.f64 (*.f64 (*.f64 u2 u2) #s(literal -2/135 binary64)) (pow.f64 (PI.f64) #s(literal 6 binary64))) (*.f64 #s(literal 1/9 binary64) (pow.f64 (PI.f64) #s(literal 4 binary64))))) (*.f64 #s(literal -1/3 binary64) (*.f64 (PI.f64) (PI.f64))))))))
(* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1))))
(*.f64 (sqrt.f64 (log.f64 u1)) (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 u2 (PI.f64)))) (*.f64 (sqrt.f64 #s(literal -2 binary64)) #s(literal 1/6 binary64))))
(* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1))))
(*.f64 (sqrt.f64 (log.f64 u1)) (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 u2 (PI.f64)))) (*.f64 (sqrt.f64 #s(literal -2 binary64)) #s(literal 1/6 binary64))))
(* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1))))
(*.f64 (sqrt.f64 (log.f64 u1)) (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 u2 (PI.f64)))) (*.f64 (sqrt.f64 #s(literal -2 binary64)) #s(literal 1/6 binary64))))
(* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1))))
(*.f64 (sqrt.f64 (log.f64 u1)) (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 u2 (PI.f64)))) (*.f64 (sqrt.f64 #s(literal -2 binary64)) #s(literal 1/6 binary64))))
(* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1))))
(*.f64 (sqrt.f64 (log.f64 u1)) (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 u2 (PI.f64)))) (*.f64 (sqrt.f64 #s(literal -2 binary64)) #s(literal 1/6 binary64))))
(* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1))))
(*.f64 (sqrt.f64 (log.f64 u1)) (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 u2 (PI.f64)))) (*.f64 (sqrt.f64 #s(literal -2 binary64)) #s(literal 1/6 binary64))))
(* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1))))
(*.f64 (sqrt.f64 (log.f64 u1)) (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 u2 (PI.f64)))) (*.f64 (sqrt.f64 #s(literal -2 binary64)) #s(literal 1/6 binary64))))
(* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1))))
(*.f64 (sqrt.f64 (log.f64 u1)) (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 u2 (PI.f64)))) (*.f64 (sqrt.f64 #s(literal -2 binary64)) #s(literal 1/6 binary64))))
(* 1/6 (* (sqrt (log u1)) (sqrt -2)))
(*.f64 (sqrt.f64 (log.f64 u1)) (*.f64 (sqrt.f64 #s(literal -2 binary64)) #s(literal 1/6 binary64)))
(* 1/6 (* (sqrt (log u1)) (sqrt -2)))
(*.f64 (sqrt.f64 (log.f64 u1)) (*.f64 (sqrt.f64 #s(literal -2 binary64)) #s(literal 1/6 binary64)))
(* 1/6 (* (sqrt (log u1)) (sqrt -2)))
(*.f64 (sqrt.f64 (log.f64 u1)) (*.f64 (sqrt.f64 #s(literal -2 binary64)) #s(literal 1/6 binary64)))
(* 1/6 (* (sqrt (log u1)) (sqrt -2)))
(*.f64 (sqrt.f64 (log.f64 u1)) (*.f64 (sqrt.f64 #s(literal -2 binary64)) #s(literal 1/6 binary64)))
(* 1/6 (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1))))
(*.f64 (sqrt.f64 (log.f64 (/.f64 #s(literal 1 binary64) u1))) (*.f64 (sqrt.f64 #s(literal -2 binary64)) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -1 binary64)))))
(* 1/6 (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1))))
(*.f64 (sqrt.f64 (log.f64 (/.f64 #s(literal 1 binary64) u1))) (*.f64 (sqrt.f64 #s(literal -2 binary64)) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -1 binary64)))))
(* 1/6 (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1))))
(*.f64 (sqrt.f64 (log.f64 (/.f64 #s(literal 1 binary64) u1))) (*.f64 (sqrt.f64 #s(literal -2 binary64)) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -1 binary64)))))
(* 1/6 (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1))))
(*.f64 (sqrt.f64 (log.f64 (/.f64 #s(literal 1 binary64) u1))) (*.f64 (sqrt.f64 #s(literal -2 binary64)) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -1 binary64)))))
(* 1/6 (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))))
(*.f64 (sqrt.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) u1)))) (*.f64 (sqrt.f64 #s(literal -2 binary64)) #s(literal 1/6 binary64)))
(* 1/6 (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))))
(*.f64 (sqrt.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) u1)))) (*.f64 (sqrt.f64 #s(literal -2 binary64)) #s(literal 1/6 binary64)))
(* 1/6 (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))))
(*.f64 (sqrt.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) u1)))) (*.f64 (sqrt.f64 #s(literal -2 binary64)) #s(literal 1/6 binary64)))
(* 1/6 (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))))
(*.f64 (sqrt.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) u1)))) (*.f64 (sqrt.f64 #s(literal -2 binary64)) #s(literal 1/6 binary64)))
(* 2 (* u2 (PI)))
(*.f64 #s(literal 2 binary64) (*.f64 u2 (PI.f64)))
(* 2 (* u2 (PI)))
(*.f64 #s(literal 2 binary64) (*.f64 u2 (PI.f64)))
(* 2 (* u2 (PI)))
(*.f64 #s(literal 2 binary64) (*.f64 u2 (PI.f64)))
(* 2 (* u2 (PI)))
(*.f64 #s(literal 2 binary64) (*.f64 u2 (PI.f64)))
(* 2 (* u2 (PI)))
(*.f64 #s(literal 2 binary64) (*.f64 u2 (PI.f64)))
(* 2 (* u2 (PI)))
(*.f64 #s(literal 2 binary64) (*.f64 u2 (PI.f64)))
(* 2 (* u2 (PI)))
(*.f64 #s(literal 2 binary64) (*.f64 u2 (PI.f64)))
(* 2 (* u2 (PI)))
(*.f64 #s(literal 2 binary64) (*.f64 u2 (PI.f64)))
(* 2 (* u2 (PI)))
(*.f64 #s(literal 2 binary64) (*.f64 u2 (PI.f64)))
(* 2 (* u2 (PI)))
(*.f64 #s(literal 2 binary64) (*.f64 u2 (PI.f64)))
(* 2 (* u2 (PI)))
(*.f64 #s(literal 2 binary64) (*.f64 u2 (PI.f64)))
(* 2 (* u2 (PI)))
(*.f64 #s(literal 2 binary64) (*.f64 u2 (PI.f64)))

eval26.0ms (0.2%)

Memory
19.2MiB live, 58.3MiB allocated
Compiler

Compiled 7 807 to 701 computations (91% saved)

prune41.0ms (0.3%)

Memory
-25.1MiB live, 92.5MiB allocated
Pruning

16 alts after pruning (16 fresh and 0 done)

PrunedKeptTotal
New24416260
Fresh000
Picked101
Done000
Total24516261
Accuracy
100.0%
Counts
261 → 16
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.1%
(fma.f64 #s(literal 1/6 binary64) (/.f64 (*.f64 (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 1/6 binary64)) (+.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))))) #s(literal -1/2 binary64))) (neg.f64 (/.f64 #s(literal 1/4 binary64) (+.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))))) #s(literal -1/2 binary64)))))
▶99.2%
(fma.f64 #s(literal 1/36 binary64) (/.f64 (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 (*.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))) (neg.f64 (/.f64 #s(literal 1/4 binary64) (+.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))))) #s(literal -1/2 binary64)))))
99.1%
(/.f64 (*.f64 (+.f64 (pow.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))))) #s(literal 4 binary64)) #s(literal -1/16 binary64)) (/.f64 #s(literal 1 binary64) (+.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))))) #s(literal -1/2 binary64)))) (+.f64 (pow.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))))) #s(literal 2 binary64)) #s(literal 1/4 binary64)))
99.2%
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 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 1/4 binary64) (pow.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))))) #s(literal 2 binary64)))))
99.3%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 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))))))))
99.2%
(-.f64 (/.f64 (pow.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))))) #s(literal 2 binary64)) (+.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))))) #s(literal -1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (+.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))))) #s(literal -1/2 binary64))))
99.2%
(+.f64 (*.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))
▶99.0%
(+.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))
99.4%
(+.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))
▶99.2%
(+.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))
98.9%
(+.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))
▶99.5%
(+.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) (*.f64 (sqrt.f64 (log.f64 (/.f64 #s(literal 1 binary64) u1))) (sqrt.f64 #s(literal 2 binary64)))) (cos.f64 (*.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) u2))) #s(literal 1/2 binary64))
99.0%
(+.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))
99.4%
(+.f64 (*.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)) #s(literal 1/2 binary64))
▶0.0%
(+.f64 (*.f64 (sqrt.f64 (log.f64 u1)) (*.f64 (sqrt.f64 #s(literal -2 binary64)) #s(literal 1/6 binary64))) #s(literal 1/2 binary64))
99.2%
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/4 binary64) (*.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))))) (+.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))))) #s(literal -1/2 binary64))))) (+.f64 (pow.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))))) #s(literal 3 binary64)) #s(literal 1/8 binary64)))
Compiler

Compiled 1 086 to 656 computations (39.6% saved)

simplify311.0ms (2.4%)

Memory
20.7MiB live, 383.8MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(/.f64 (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 (*.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)))
✓cost-diff64
(neg.f64 (/.f64 #s(literal 1/4 binary64) (+.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))))) #s(literal -1/2 binary64))))
✓cost-diff6080
(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))
✓cost-diff6400
(fma.f64 #s(literal 1/36 binary64) (/.f64 (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 (*.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))) (neg.f64 (/.f64 #s(literal 1/4 binary64) (+.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))))) #s(literal -1/2 binary64)))))
✓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-diff0
(+.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-diff6656
(*.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-diff19648
(*.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 (/.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)))
✓cost-diff0
(+.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))
✓cost-diff128
(/.f64 #s(literal 1 binary64) #s(literal 6 binary64))
✓cost-diff6528
(pow.f64 (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/4 binary64)) #s(literal 2 binary64))
✓cost-diff0
(log.f64 u1)
✓cost-diff0
(sqrt.f64 (log.f64 u1))
✓cost-diff0
(*.f64 (sqrt.f64 (log.f64 u1)) (*.f64 (sqrt.f64 #s(literal -2 binary64)) #s(literal 1/6 binary64)))
✓cost-diff0
(+.f64 (*.f64 (sqrt.f64 (log.f64 u1)) (*.f64 (sqrt.f64 #s(literal -2 binary64)) #s(literal 1/6 binary64))) #s(literal 1/2 binary64))
✓cost-diff0
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) (*.f64 (sqrt.f64 (log.f64 (/.f64 #s(literal 1 binary64) u1))) (sqrt.f64 #s(literal 2 binary64))))
✓cost-diff0
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) (*.f64 (sqrt.f64 (log.f64 (/.f64 #s(literal 1 binary64) u1))) (sqrt.f64 #s(literal 2 binary64)))) (cos.f64 (*.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) u2)))
✓cost-diff0
(+.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) (*.f64 (sqrt.f64 (log.f64 (/.f64 #s(literal 1 binary64) u1))) (sqrt.f64 #s(literal 2 binary64)))) (cos.f64 (*.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) u2))) #s(literal 1/2 binary64))
✓cost-diff128
(/.f64 #s(literal 1 binary64) #s(literal 6 binary64))
Rules
5 482×*-lowering-*.f32
5 482×*-lowering-*.f64
4 082×accelerator-lowering-fma.f32
4 082×accelerator-lowering-fma.f64
2 946×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
057540
1120522
2226508
3476508
41289508
52909508
65137508
77377508
08045497
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(+ (* (* (/ 1 6) (* (sqrt (log (/ 1 u1))) (sqrt 2))) (cos (* (* 2 (PI)) u2))) 1/2)
(* (* (/ 1 6) (* (sqrt (log (/ 1 u1))) (sqrt 2))) (cos (* (* 2 (PI)) u2)))
(* (/ 1 6) (* (sqrt (log (/ 1 u1))) (sqrt 2)))
(/ 1 6)
1
6
(* (sqrt (log (/ 1 u1))) (sqrt 2))
(sqrt (log (/ 1 u1)))
(log (/ 1 u1))
(/ 1 u1)
u1
(sqrt 2)
2
(cos (* (* 2 (PI)) u2))
(* (* 2 (PI)) u2)
(* 2 (PI))
(PI)
u2
1/2
(+ (* (sqrt (log u1)) (* (sqrt -2) 1/6)) 1/2)
(* (sqrt (log u1)) (* (sqrt -2) 1/6))
(sqrt (log u1))
(log u1)
u1
(* (sqrt -2) 1/6)
(sqrt -2)
-2
1/6
1/2
(+ (* (* (/ 1 6) (pow (pow (* -2 (log u1)) 1/4) 2)) (cos (* (* 2 (PI)) u2))) 1/2)
(* (* (/ 1 6) (pow (pow (* -2 (log u1)) 1/4) 2)) (cos (* (* 2 (PI)) u2)))
(* (/ 1 6) (pow (pow (* -2 (log u1)) 1/4) 2))
(/ 1 6)
1
6
(pow (pow (* -2 (log u1)) 1/4) 2)
(pow (* -2 (log u1)) 1/4)
(* -2 (log u1))
-2
(log u1)
u1
1/4
2
(cos (* (* 2 (PI)) u2))
(* (* 2 (PI)) u2)
(* 2 (PI))
(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))) 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
(+ (* 1/36 (/ (pow (* (sqrt (* -2 (log u1))) (cos (* 2 (* (PI) u2)))) 2) (+ (* (sqrt (* -2 (log u1))) (* 1/6 (cos (* 2 (* (PI) u2))))) -1/2))) (neg (/ 1/4 (+ (* (sqrt (* -2 (log u1))) (* 1/6 (cos (* 2 (* (PI) u2))))) -1/2))))
1/36
(/ (pow (* (sqrt (* -2 (log u1))) (cos (* 2 (* (PI) u2)))) 2) (+ (* (sqrt (* -2 (log u1))) (* 1/6 (cos (* 2 (* (PI) u2))))) -1/2))
(pow (* (sqrt (* -2 (log u1))) (cos (* 2 (* (PI) u2)))) 2)
(* (sqrt (* -2 (log u1))) (cos (* 2 (* (PI) u2))))
(sqrt (* -2 (log u1)))
(* -2 (log u1))
-2
(log u1)
u1
(cos (* 2 (* (PI) u2)))
(* 2 (* (PI) u2))
2
(* (PI) u2)
(PI)
u2
(+ (* (sqrt (* -2 (log u1))) (* 1/6 (cos (* 2 (* (PI) u2))))) -1/2)
(* (sqrt (* -2 (log u1))) (* 1/6 (cos (* 2 (* (PI) u2)))))
(* 1/6 (cos (* 2 (* (PI) u2))))
1/6
-1/2
(neg (/ 1/4 (+ (* (sqrt (* -2 (log u1))) (* 1/6 (cos (* 2 (* (PI) u2))))) -1/2)))
(/ 1/4 (+ (* (sqrt (* -2 (log u1))) (* 1/6 (cos (* 2 (* (PI) u2))))) -1/2))
1/4
Outputs
(+ (* (* (/ 1 6) (* (sqrt (log (/ 1 u1))) (sqrt 2))) (cos (* (* 2 (PI)) u2))) 1/2)
(+.f64 (*.f64 (*.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (log.f64 u1))) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal 2 binary64)))) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))) #s(literal 1/2 binary64))
(* (* (/ 1 6) (* (sqrt (log (/ 1 u1))) (sqrt 2))) (cos (* (* 2 (PI)) u2)))
(*.f64 (*.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (log.f64 u1))) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal 2 binary64)))) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))))
(* (/ 1 6) (* (sqrt (log (/ 1 u1))) (sqrt 2)))
(*.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (log.f64 u1))) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal 2 binary64))))
(/ 1 6)
#s(literal 1/6 binary64)
1
#s(literal 1 binary64)
6
#s(literal 6 binary64)
(* (sqrt (log (/ 1 u1))) (sqrt 2))
(*.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (log.f64 u1))) (sqrt.f64 #s(literal 2 binary64)))
(sqrt (log (/ 1 u1)))
(sqrt.f64 (-.f64 #s(literal 0 binary64) (log.f64 u1)))
(log (/ 1 u1))
(-.f64 #s(literal 0 binary64) (log.f64 u1))
(/ 1 u1)
(/.f64 #s(literal 1 binary64) u1)
u1
(sqrt 2)
(sqrt.f64 #s(literal 2 binary64))
2
#s(literal 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))
(PI)
(PI.f64)
u2
1/2
#s(literal 1/2 binary64)
(+ (* (sqrt (log u1)) (* (sqrt -2) 1/6)) 1/2)
(+.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (log.f64 u1)) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -2 binary64)))))
(* (sqrt (log u1)) (* (sqrt -2) 1/6))
(*.f64 (sqrt.f64 (log.f64 u1)) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -2 binary64))))
(sqrt (log u1))
(sqrt.f64 (log.f64 u1))
(log u1)
(log.f64 u1)
u1
(* (sqrt -2) 1/6)
(*.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -2 binary64)))
(sqrt -2)
(sqrt.f64 #s(literal -2 binary64))
-2
#s(literal -2 binary64)
1/6
#s(literal 1/6 binary64)
1/2
#s(literal 1/2 binary64)
(+ (* (* (/ 1 6) (pow (pow (* -2 (log u1)) 1/4) 2)) (cos (* (* 2 (PI)) u2))) 1/2)
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))) (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))))))
(* (* (/ 1 6) (pow (pow (* -2 (log u1)) 1/4) 2)) (cos (* (* 2 (PI)) u2)))
(*.f64 #s(literal 1/6 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))) (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)))))
(* (/ 1 6) (pow (pow (* -2 (log u1)) 1/4) 2))
(*.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))))
(/ 1 6)
#s(literal 1/6 binary64)
1
#s(literal 1 binary64)
6
#s(literal 6 binary64)
(pow (pow (* -2 (log u1)) 1/4) 2)
(sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)))
(pow (* -2 (log u1)) 1/4)
(pow.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)) #s(literal 1/4 binary64))
(* -2 (log u1))
(*.f64 (log.f64 u1) #s(literal -2 binary64))
-2
#s(literal -2 binary64)
(log u1)
(log.f64 u1)
u1
1/4
#s(literal 1/4 binary64)
2
#s(literal 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))
(PI)
(PI.f64)
u2
1/2
#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))) 1/2)
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))) (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -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 #s(literal 1/6 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))) (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)))))
(* (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 (log.f64 u1) #s(literal -2 binary64))))
(pow (* -2 (log u1)) 1/8)
(pow.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)) #s(literal 1/8 binary64))
(* -2 (log u1))
(*.f64 (log.f64 u1) #s(literal -2 binary64))
-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 (log.f64 u1) #s(literal -2 binary64)) #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 (log.f64 u1) #s(literal -2 binary64)) #s(literal 1/4 binary64)))
1/6
#s(literal 1/6 binary64)
(pow (* -2 (log u1)) 1/4)
(pow.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)) #s(literal 1/4 binary64))
1/4
#s(literal 1/4 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
1/2
#s(literal 1/2 binary64)
(+ (* 1/36 (/ (pow (* (sqrt (* -2 (log u1))) (cos (* 2 (* (PI) u2)))) 2) (+ (* (sqrt (* -2 (log u1))) (* 1/6 (cos (* 2 (* (PI) u2))))) -1/2))) (neg (/ 1/4 (+ (* (sqrt (* -2 (log u1))) (* 1/6 (cos (* 2 (* (PI) u2))))) -1/2))))
(+.f64 (/.f64 (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))) (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))) (*.f64 (log.f64 u1) #s(literal -1/18 binary64)))) (+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))) (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))))) #s(literal -1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))) (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal -1/6 binary64))))))
1/36
#s(literal 1/36 binary64)
(/ (pow (* (sqrt (* -2 (log u1))) (cos (* 2 (* (PI) u2)))) 2) (+ (* (sqrt (* -2 (log u1))) (* 1/6 (cos (* 2 (* (PI) u2))))) -1/2))
(/.f64 (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))) (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))) (*.f64 (log.f64 u1) #s(literal -2 binary64)))) (+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))) (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))))) #s(literal -1/2 binary64)))
(pow (* (sqrt (* -2 (log u1))) (cos (* 2 (* (PI) u2)))) 2)
(*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))) (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))) (*.f64 (log.f64 u1) #s(literal -2 binary64))))
(* (sqrt (* -2 (log u1))) (cos (* 2 (* (PI) u2))))
(*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))) (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))))
(sqrt (* -2 (log u1)))
(sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)))
(* -2 (log u1))
(*.f64 (log.f64 u1) #s(literal -2 binary64))
-2
#s(literal -2 binary64)
(log u1)
(log.f64 u1)
u1
(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
#s(literal 2 binary64)
(* (PI) u2)
(*.f64 (PI.f64) u2)
(PI)
(PI.f64)
u2
(+ (* (sqrt (* -2 (log u1))) (* 1/6 (cos (* 2 (* (PI) u2))))) -1/2)
(+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))) (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))))) #s(literal -1/2 binary64))
(* (sqrt (* -2 (log u1))) (* 1/6 (cos (* 2 (* (PI) u2)))))
(*.f64 #s(literal 1/6 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))) (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)))))
(* 1/6 (cos (* 2 (* (PI) u2))))
(*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))))
1/6
#s(literal 1/6 binary64)
-1/2
#s(literal -1/2 binary64)
(neg (/ 1/4 (+ (* (sqrt (* -2 (log u1))) (* 1/6 (cos (* 2 (* (PI) u2))))) -1/2)))
(/.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))) (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal -1/6 binary64)))))
(/ 1/4 (+ (* (sqrt (* -2 (log u1))) (* 1/6 (cos (* 2 (* (PI) u2))))) -1/2))
(/.f64 #s(literal 1/4 binary64) (+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))) (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))))) #s(literal -1/2 binary64)))
1/4
#s(literal 1/4 binary64)

localize290.0ms (2.2%)

Memory
20.5MiB live, 330.6MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(neg.f64 (/.f64 #s(literal 1/4 binary64) (+.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))))) #s(literal -1/2 binary64))))
✓accuracy100.0%
(log.f64 u1)
✓accuracy100.0%
(cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))
✓accuracy3.1%
(PI.f64)
✓accuracy100.0%
(*.f64 #s(literal -2 binary64) (log.f64 u1))
✓accuracy100.0%
(log.f64 u1)
✓accuracy100.0%
(cos.f64 (*.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) u2))
✓accuracy3.1%
(PI.f64)
✓accuracy100.0%
(*.f64 #s(literal -2 binary64) (log.f64 u1))
✓accuracy100.0%
(log.f64 u1)
✓accuracy100.0%
(cos.f64 (*.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) u2))
✓accuracy3.1%
(PI.f64)
✓accuracy100.0%
(*.f64 (sqrt.f64 #s(literal -2 binary64)) #s(literal 1/6 binary64))
✓accuracy100.0%
(sqrt.f64 (log.f64 u1))
✓accuracy100.0%
(sqrt.f64 #s(literal -2 binary64))
✓accuracy100.0%
(log.f64 u1)
✓accuracy100.0%
(sqrt.f64 #s(literal 2 binary64))
✓accuracy100.0%
(log.f64 (/.f64 #s(literal 1 binary64) u1))
✓accuracy100.0%
(cos.f64 (*.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) u2))
✓accuracy3.1%
(PI.f64)
Samples
192.0ms256×0invalid
Compiler

Compiled 595 to 59 computations (90.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 123.0ms
ival-mult: 45.0ms (36.6% of total)
ival-add: 28.0ms (22.7% of total)
ival-pow: 9.0ms (7.3% of total)
ival-sqrt: 8.0ms (6.5% of total)
ival-div: 7.0ms (5.7% of total)
ival-log: 7.0ms (5.7% of total)
const: 7.0ms (5.7% of total)
ival-cos: 5.0ms (4.1% of total)
ival-pow2: 5.0ms (4.1% of total)
ival-pi: 1.0ms (0.8% of total)
exact: 1.0ms (0.8% of total)
ival-neg: 1.0ms (0.8% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series245.0ms (1.9%)

Memory
10.5MiB live, 438.7MiB allocated
Counts
27 → 384
Calls
Call 1
Inputs
#<alt (/ 1 6)>
#<alt (+ (* (* (/ 1 6) (* (sqrt (log (/ 1 u1))) (sqrt 2))) (cos (* (* 2 (PI)) u2))) 1/2)>
#<alt (* (* (/ 1 6) (* (sqrt (log (/ 1 u1))) (sqrt 2))) (cos (* (* 2 (PI)) u2)))>
#<alt (* (/ 1 6) (* (sqrt (log (/ 1 u1))) (sqrt 2)))>
#<alt (+ (* (sqrt (log u1)) (* (sqrt -2) 1/6)) 1/2)>
#<alt (* (sqrt (log u1)) (* (sqrt -2) 1/6))>
#<alt (sqrt (log u1))>
#<alt (log u1)>
#<alt (pow (pow (* -2 (log u1)) 1/4) 2)>
#<alt (+ (* (* (/ 1 6) (pow (pow (* -2 (log u1)) 1/4) 2)) (cos (* (* 2 (PI)) u2))) 1/2)>
#<alt (* (* (/ 1 6) (pow (pow (* -2 (log u1)) 1/4) 2)) (cos (* (* 2 (PI)) u2)))>
#<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 (+ (* 1/36 (/ (pow (* (sqrt (* -2 (log u1))) (cos (* 2 (* (PI) u2)))) 2) (+ (* (sqrt (* -2 (log u1))) (* 1/6 (cos (* 2 (* (PI) u2))))) -1/2))) (neg (/ 1/4 (+ (* (sqrt (* -2 (log u1))) (* 1/6 (cos (* 2 (* (PI) u2))))) -1/2))))>
#<alt (pow (* (sqrt (* -2 (log u1))) (cos (* 2 (* (PI) u2)))) 2)>
#<alt (neg (/ 1/4 (+ (* (sqrt (* -2 (log u1))) (* 1/6 (cos (* 2 (* (PI) u2))))) -1/2)))>
#<alt (/ (pow (* (sqrt (* -2 (log u1))) (cos (* 2 (* (PI) u2)))) 2) (+ (* (sqrt (* -2 (log u1))) (* 1/6 (cos (* 2 (* (PI) u2))))) -1/2))>
#<alt (PI)>
#<alt (cos (* (* 2 (PI)) u2))>
#<alt (log (/ 1 u1))>
#<alt (sqrt 2)>
#<alt (sqrt -2)>
#<alt (* (sqrt -2) 1/6)>
#<alt (* -2 (log u1))>
#<alt (cos (* 2 (* (PI) u2)))>
Outputs
#<alt (+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (sqrt 2))) (sqrt (log u1)))))>
#<alt (+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (sqrt 2))) (sqrt (log u1)))))>
#<alt (+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (sqrt 2))) (sqrt (log u1)))))>
#<alt (+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (sqrt 2))) (sqrt (log u1)))))>
#<alt (+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt 2)) (sqrt (log (/ 1 u1))))))>
#<alt (+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt 2)) (sqrt (log (/ 1 u1))))))>
#<alt (+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt 2)) (sqrt (log (/ 1 u1))))))>
#<alt (+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt 2)) (sqrt (log (/ 1 u1))))))>
#<alt (+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt 2)) (sqrt (+ (log -1) (log (/ -1 u1)))))))>
#<alt (+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt 2)) (sqrt (+ (log -1) (log (/ -1 u1)))))))>
#<alt (+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt 2)) (sqrt (+ (log -1) (log (/ -1 u1)))))))>
#<alt (+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt 2)) (sqrt (+ (log -1) (log (/ -1 u1)))))))>
#<alt (+ 1/2 (* 1/6 (* (sqrt (log (/ 1 u1))) (sqrt 2))))>
#<alt (+ 1/2 (+ (* -1/3 (* (* (pow u2 2) (* (pow (PI) 2) (sqrt 2))) (sqrt (log (/ 1 u1))))) (* 1/6 (* (sqrt (log (/ 1 u1))) (sqrt 2)))))>
#<alt (+ 1/2 (+ (* 1/6 (* (sqrt (log (/ 1 u1))) (sqrt 2))) (* (pow u2 2) (+ (* -1/3 (* (* (pow (PI) 2) (sqrt 2)) (sqrt (log (/ 1 u1))))) (* 1/9 (* (* (pow u2 2) (* (pow (PI) 4) (sqrt 2))) (sqrt (log (/ 1 u1)))))))))>
#<alt (+ 1/2 (+ (* 1/6 (* (sqrt (log (/ 1 u1))) (sqrt 2))) (* (pow u2 2) (+ (* -1/3 (* (* (pow (PI) 2) (sqrt 2)) (sqrt (log (/ 1 u1))))) (* (pow u2 2) (+ (* -2/135 (* (* (pow u2 2) (* (pow (PI) 6) (sqrt 2))) (sqrt (log (/ 1 u1))))) (* 1/9 (* (* (pow (PI) 4) (sqrt 2)) (sqrt (log (/ 1 u1)))))))))))>
#<alt (+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt 2)) (sqrt (log (/ 1 u1))))))>
#<alt (+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt 2)) (sqrt (log (/ 1 u1))))))>
#<alt (+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt 2)) (sqrt (log (/ 1 u1))))))>
#<alt (+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt 2)) (sqrt (log (/ 1 u1))))))>
#<alt (+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt 2)) (sqrt (log (/ 1 u1))))))>
#<alt (+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt 2)) (sqrt (log (/ 1 u1))))))>
#<alt (+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt 2)) (sqrt (log (/ 1 u1))))))>
#<alt (+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt 2)) (sqrt (log (/ 1 u1))))))>
#<alt (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (sqrt 2))) (sqrt (log u1))))>
#<alt (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (sqrt 2))) (sqrt (log u1))))>
#<alt (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (sqrt 2))) (sqrt (log u1))))>
#<alt (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (sqrt 2))) (sqrt (log u1))))>
#<alt (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt 2)) (sqrt (log (/ 1 u1)))))>
#<alt (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt 2)) (sqrt (log (/ 1 u1)))))>
#<alt (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt 2)) (sqrt (log (/ 1 u1)))))>
#<alt (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt 2)) (sqrt (log (/ 1 u1)))))>
#<alt (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt 2)) (sqrt (+ (log -1) (log (/ -1 u1))))))>
#<alt (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt 2)) (sqrt (+ (log -1) (log (/ -1 u1))))))>
#<alt (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt 2)) (sqrt (+ (log -1) (log (/ -1 u1))))))>
#<alt (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt 2)) (sqrt (+ (log -1) (log (/ -1 u1))))))>
#<alt (* 1/6 (* (sqrt (log (/ 1 u1))) (sqrt 2)))>
#<alt (+ (* -1/3 (* (* (pow u2 2) (* (pow (PI) 2) (sqrt 2))) (sqrt (log (/ 1 u1))))) (* 1/6 (* (sqrt (log (/ 1 u1))) (sqrt 2))))>
#<alt (+ (* 1/6 (* (sqrt (log (/ 1 u1))) (sqrt 2))) (* (pow u2 2) (+ (* -1/3 (* (* (pow (PI) 2) (sqrt 2)) (sqrt (log (/ 1 u1))))) (* 1/9 (* (* (pow u2 2) (* (pow (PI) 4) (sqrt 2))) (sqrt (log (/ 1 u1))))))))>
#<alt (+ (* 1/6 (* (sqrt (log (/ 1 u1))) (sqrt 2))) (* (pow u2 2) (+ (* -1/3 (* (* (pow (PI) 2) (sqrt 2)) (sqrt (log (/ 1 u1))))) (* (pow u2 2) (+ (* -2/135 (* (* (pow u2 2) (* (pow (PI) 6) (sqrt 2))) (sqrt (log (/ 1 u1))))) (* 1/9 (* (* (pow (PI) 4) (sqrt 2)) (sqrt (log (/ 1 u1))))))))))>
#<alt (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt 2)) (sqrt (log (/ 1 u1)))))>
#<alt (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt 2)) (sqrt (log (/ 1 u1)))))>
#<alt (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt 2)) (sqrt (log (/ 1 u1)))))>
#<alt (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt 2)) (sqrt (log (/ 1 u1)))))>
#<alt (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt 2)) (sqrt (log (/ 1 u1)))))>
#<alt (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt 2)) (sqrt (log (/ 1 u1)))))>
#<alt (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt 2)) (sqrt (log (/ 1 u1)))))>
#<alt (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt 2)) (sqrt (log (/ 1 u1)))))>
#<alt (* 1/6 (* (sqrt (log u1)) (* (sqrt -1) (sqrt 2))))>
#<alt (* 1/6 (* (sqrt (log u1)) (* (sqrt -1) (sqrt 2))))>
#<alt (* 1/6 (* (sqrt (log u1)) (* (sqrt -1) (sqrt 2))))>
#<alt (* 1/6 (* (sqrt (log u1)) (* (sqrt -1) (sqrt 2))))>
#<alt (* 1/6 (* (sqrt (log (/ 1 u1))) (sqrt 2)))>
#<alt (* 1/6 (* (sqrt (log (/ 1 u1))) (sqrt 2)))>
#<alt (* 1/6 (* (sqrt (log (/ 1 u1))) (sqrt 2)))>
#<alt (* 1/6 (* (sqrt (log (/ 1 u1))) (sqrt 2)))>
#<alt (* 1/6 (* (sqrt 2) (sqrt (+ (log -1) (log (/ -1 u1))))))>
#<alt (* 1/6 (* (sqrt 2) (sqrt (+ (log -1) (log (/ -1 u1))))))>
#<alt (* 1/6 (* (sqrt 2) (sqrt (+ (log -1) (log (/ -1 u1))))))>
#<alt (* 1/6 (* (sqrt 2) (sqrt (+ (log -1) (log (/ -1 u1))))))>
#<alt (+ 1/2 (* 1/6 (* (sqrt (log u1)) (sqrt -2))))>
#<alt (+ 1/2 (* 1/6 (* (sqrt (log u1)) (sqrt -2))))>
#<alt (+ 1/2 (* 1/6 (* (sqrt (log u1)) (sqrt -2))))>
#<alt (+ 1/2 (* 1/6 (* (sqrt (log u1)) (sqrt -2))))>
#<alt (+ 1/2 (* 1/6 (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1)))))>
#<alt (+ 1/2 (* 1/6 (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1)))))>
#<alt (+ 1/2 (* 1/6 (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1)))))>
#<alt (+ 1/2 (* 1/6 (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1)))))>
#<alt (+ 1/2 (* 1/6 (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))))>
#<alt (+ 1/2 (* 1/6 (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))))>
#<alt (+ 1/2 (* 1/6 (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))))>
#<alt (+ 1/2 (* 1/6 (* (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)))>
#<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))>
#<alt (sqrt (log u1))>
#<alt (sqrt (log u1))>
#<alt (sqrt (log u1))>
#<alt (* (sqrt (log (/ 1 u1))) (sqrt -1))>
#<alt (* (sqrt (log (/ 1 u1))) (sqrt -1))>
#<alt (* (sqrt (log (/ 1 u1))) (sqrt -1))>
#<alt (* (sqrt (log (/ 1 u1))) (sqrt -1))>
#<alt (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))>
#<alt (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))>
#<alt (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))>
#<alt (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))>
#<alt (log u1)>
#<alt (log u1)>
#<alt (log u1)>
#<alt (log u1)>
#<alt (* -1 (log (/ 1 u1)))>
#<alt (* -1 (log (/ 1 u1)))>
#<alt (* -1 (log (/ 1 u1)))>
#<alt (* -1 (log (/ 1 u1)))>
#<alt (+ (log -1) (* -1 (log (/ -1 u1))))>
#<alt (+ (log -1) (* -1 (log (/ -1 u1))))>
#<alt (+ (log -1) (* -1 (log (/ -1 u1))))>
#<alt (+ (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))>
#<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 (* (pow 16 1/8) (sqrt (log u1))))>
#<alt (* 1/6 (* (pow 16 1/8) (sqrt (log u1))))>
#<alt (* 1/6 (* (pow 16 1/8) (sqrt (log u1))))>
#<alt (* 1/6 (* (pow 16 1/8) (sqrt (log u1))))>
#<alt (* 1/6 (* (pow 16 1/8) (* (sqrt (log (/ 1 u1))) (sqrt -1))))>
#<alt (* 1/6 (* (pow 16 1/8) (* (sqrt (log (/ 1 u1))) (sqrt -1))))>
#<alt (* 1/6 (* (pow 16 1/8) (* (sqrt (log (/ 1 u1))) (sqrt -1))))>
#<alt (* 1/6 (* (pow 16 1/8) (* (sqrt (log (/ 1 u1))) (sqrt -1))))>
#<alt (* 1/6 (* (pow 16 1/8) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))))>
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#<alt (* (pow (cos (* 2 (* u2 (PI)))) 2) (* (log u1) (pow (sqrt -2) 2)))>
#<alt (* -1 (* (pow (cos (* 2 (* u2 (PI)))) 2) (* (log (/ 1 u1)) (pow (sqrt -2) 2))))>
#<alt (* -1 (* (pow (cos (* 2 (* u2 (PI)))) 2) (* (log (/ 1 u1)) (pow (sqrt -2) 2))))>
#<alt (* -1 (* (pow (cos (* 2 (* u2 (PI)))) 2) (* (log (/ 1 u1)) (pow (sqrt -2) 2))))>
#<alt (* -1 (* (pow (cos (* 2 (* u2 (PI)))) 2) (* (log (/ 1 u1)) (pow (sqrt -2) 2))))>
#<alt (* (pow (cos (* 2 (* u2 (PI)))) 2) (* (pow (sqrt -2) 2) (+ (log -1) (* -1 (log (/ -1 u1))))))>
#<alt (* (pow (cos (* 2 (* u2 (PI)))) 2) (* (pow (sqrt -2) 2) (+ (log -1) (* -1 (log (/ -1 u1))))))>
#<alt (* (pow (cos (* 2 (* u2 (PI)))) 2) (* (pow (sqrt -2) 2) (+ (log -1) (* -1 (log (/ -1 u1))))))>
#<alt (* (pow (cos (* 2 (* u2 (PI)))) 2) (* (pow (sqrt -2) 2) (+ (log -1) (* -1 (log (/ -1 u1))))))>
#<alt (* (log u1) (pow (sqrt -2) 2))>
#<alt (+ (* -4 (* (pow u2 2) (* (pow (PI) 2) (* (log u1) (pow (sqrt -2) 2))))) (* (log u1) (pow (sqrt -2) 2)))>
#<alt (+ (* (log u1) (pow (sqrt -2) 2)) (* (pow u2 2) (+ (* -4 (* (pow (PI) 2) (* (log u1) (pow (sqrt -2) 2)))) (* (pow u2 2) (* (log u1) (* (pow (sqrt -2) 2) (+ (* 4/3 (pow (PI) 4)) (* 4 (pow (PI) 4)))))))))>
#<alt (+ (* (log u1) (pow (sqrt -2) 2)) (* (pow u2 2) (+ (* -4 (* (pow (PI) 2) (* (log u1) (pow (sqrt -2) 2)))) (* (pow u2 2) (+ (* (log u1) (* (pow (sqrt -2) 2) (+ (* 4/3 (pow (PI) 4)) (* 4 (pow (PI) 4))))) (* (pow u2 2) (* (log u1) (* (pow (sqrt -2) 2) (+ (* -8/3 (pow (PI) 6)) (* -8/45 (pow (PI) 6)))))))))))>
#<alt (* (pow (cos (* 2 (* u2 (PI)))) 2) (* (log u1) (pow (sqrt -2) 2)))>
#<alt (* (pow (cos (* 2 (* u2 (PI)))) 2) (* (log u1) (pow (sqrt -2) 2)))>
#<alt (* (pow (cos (* 2 (* u2 (PI)))) 2) (* (log u1) (pow (sqrt -2) 2)))>
#<alt (* (pow (cos (* 2 (* u2 (PI)))) 2) (* (log u1) (pow (sqrt -2) 2)))>
#<alt (* (pow (cos (* 2 (* u2 (PI)))) 2) (* (log u1) (pow (sqrt -2) 2)))>
#<alt (* (pow (cos (* 2 (* u2 (PI)))) 2) (* (log u1) (pow (sqrt -2) 2)))>
#<alt (* (pow (cos (* 2 (* u2 (PI)))) 2) (* (log u1) (pow (sqrt -2) 2)))>
#<alt (* (pow (cos (* 2 (* u2 (PI)))) 2) (* (log u1) (pow (sqrt -2) 2)))>
#<alt (/ -1/4 (- (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))) 1/2))>
#<alt (/ -1/4 (- (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))) 1/2))>
#<alt (/ -1/4 (- (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))) 1/2))>
#<alt (/ -1/4 (- (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))) 1/2))>
#<alt (/ -1/4 (- (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -2) (sqrt -1))) (sqrt (log (/ 1 u1))))) 1/2))>
#<alt (/ -1/4 (- (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -2) (sqrt -1))) (sqrt (log (/ 1 u1))))) 1/2))>
#<alt (/ -1/4 (- (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -2) (sqrt -1))) (sqrt (log (/ 1 u1))))) 1/2))>
#<alt (/ -1/4 (- (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -2) (sqrt -1))) (sqrt (log (/ 1 u1))))) 1/2))>
#<alt (/ -1/4 (- (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))) 1/2))>
#<alt (/ -1/4 (- (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))) 1/2))>
#<alt (/ -1/4 (- (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))) 1/2))>
#<alt (/ -1/4 (- (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))) 1/2))>
#<alt (/ -1/4 (- (* 1/6 (* (sqrt (log u1)) (sqrt -2))) 1/2))>
#<alt (- (* -1/12 (* (/ (* (pow u2 2) (* (pow (PI) 2) (sqrt -2))) (pow (- (* 1/6 (* (sqrt (log u1)) (sqrt -2))) 1/2) 2)) (sqrt (log u1)))) (* 1/4 (/ 1 (- (* 1/6 (* (sqrt (log u1)) (sqrt -2))) 1/2))))>
#<alt (- (* (pow u2 2) (- (* 1/4 (* (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))))))) (* 1/12 (* (/ (* (pow (PI) 2) (sqrt -2)) (pow (- (* 1/6 (* (sqrt (log u1)) (sqrt -2))) 1/2) 2)) (sqrt (log u1)))))) (* 1/4 (/ 1 (- (* 1/6 (* (sqrt (log u1)) (sqrt -2))) 1/2))))>
#<alt (- (* (pow u2 2) (- (* (pow u2 2) (- (* 1/4 (* (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)))))))) (* -1/4 (+ (* -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)))))))) (* 1/12 (* (/ (* (pow (PI) 2) (sqrt -2)) (pow (- (* 1/6 (* (sqrt (log u1)) (sqrt -2))) 1/2) 2)) (sqrt (log u1)))))) (* 1/4 (/ 1 (- (* 1/6 (* (sqrt (log u1)) (sqrt -2))) 1/2))))>
#<alt (/ -1/4 (- (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))) 1/2))>
#<alt (/ -1/4 (- (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))) 1/2))>
#<alt (/ -1/4 (- (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))) 1/2))>
#<alt (/ -1/4 (- (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))) 1/2))>
#<alt (/ -1/4 (- (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))) 1/2))>
#<alt (/ -1/4 (- (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))) 1/2))>
#<alt (/ -1/4 (- (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))) 1/2))>
#<alt (/ -1/4 (- (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))) 1/2))>
#<alt (/ (* (pow (cos (* 2 (* u2 (PI)))) 2) (* (log u1) (pow (sqrt -2) 2))) (- (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))) 1/2))>
#<alt (/ (* (pow (cos (* 2 (* u2 (PI)))) 2) (* (log u1) (pow (sqrt -2) 2))) (- (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))) 1/2))>
#<alt (/ (* (pow (cos (* 2 (* u2 (PI)))) 2) (* (log u1) (pow (sqrt -2) 2))) (- (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))) 1/2))>
#<alt (/ (* (pow (cos (* 2 (* u2 (PI)))) 2) (* (log u1) (pow (sqrt -2) 2))) (- (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))) 1/2))>
#<alt (* -1 (/ (* (pow (cos (* 2 (* u2 (PI)))) 2) (* (log (/ 1 u1)) (pow (sqrt -2) 2))) (- (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -2) (sqrt -1))) (sqrt (log (/ 1 u1))))) 1/2)))>
#<alt (* -1 (/ (* (pow (cos (* 2 (* u2 (PI)))) 2) (* (log (/ 1 u1)) (pow (sqrt -2) 2))) (- (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -2) (sqrt -1))) (sqrt (log (/ 1 u1))))) 1/2)))>
#<alt (* -1 (/ (* (pow (cos (* 2 (* u2 (PI)))) 2) (* (log (/ 1 u1)) (pow (sqrt -2) 2))) (- (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -2) (sqrt -1))) (sqrt (log (/ 1 u1))))) 1/2)))>
#<alt (* -1 (/ (* (pow (cos (* 2 (* u2 (PI)))) 2) (* (log (/ 1 u1)) (pow (sqrt -2) 2))) (- (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -2) (sqrt -1))) (sqrt (log (/ 1 u1))))) 1/2)))>
#<alt (/ (* (pow (cos (* 2 (* u2 (PI)))) 2) (* (pow (sqrt -2) 2) (+ (log -1) (* -1 (log (/ -1 u1)))))) (- (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))) 1/2))>
#<alt (/ (* (pow (cos (* 2 (* u2 (PI)))) 2) (* (pow (sqrt -2) 2) (+ (log -1) (* -1 (log (/ -1 u1)))))) (- (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))) 1/2))>
#<alt (/ (* (pow (cos (* 2 (* u2 (PI)))) 2) (* (pow (sqrt -2) 2) (+ (log -1) (* -1 (log (/ -1 u1)))))) (- (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))) 1/2))>
#<alt (/ (* (pow (cos (* 2 (* u2 (PI)))) 2) (* (pow (sqrt -2) 2) (+ (log -1) (* -1 (log (/ -1 u1)))))) (- (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))) 1/2))>
#<alt (/ (* (log u1) (pow (sqrt -2) 2)) (- (* 1/6 (* (sqrt (log u1)) (sqrt -2))) 1/2))>
#<alt (+ (* (pow u2 2) (- (* -4 (/ (* (pow (PI) 2) (* (log u1) (pow (sqrt -2) 2))) (- (* 1/6 (* (sqrt (log u1)) (sqrt -2))) 1/2))) (* -1/3 (* (/ (* (pow (PI) 2) (pow (sqrt -2) 3)) (pow (- (* 1/6 (* (sqrt (log u1)) (sqrt -2))) 1/2) 2)) (sqrt (pow (log u1) 3)))))) (/ (* (log u1) (pow (sqrt -2) 2)) (- (* 1/6 (* (sqrt (log u1)) (sqrt -2))) 1/2)))>
#<alt (+ (* (pow u2 2) (- (+ (* -4 (/ (* (pow (PI) 2) (* (log u1) (pow (sqrt -2) 2))) (- (* 1/6 (* (sqrt (log u1)) (sqrt -2))) 1/2))) (* (pow u2 2) (- (/ (* (log u1) (* (pow (sqrt -2) 2) (+ (* 4/3 (pow (PI) 4)) (* 4 (pow (PI) 4))))) (- (* 1/6 (* (sqrt (log u1)) (sqrt -2))) 1/2)) (+ (* -1/3 (* (/ (* (pow (PI) 2) (* (sqrt -2) (- (* -4 (/ (* (pow (PI) 2) (* (log u1) (pow (sqrt -2) 2))) (- (* 1/6 (* (sqrt (log u1)) (sqrt -2))) 1/2))) (* -1/3 (* (/ (* (pow (PI) 2) (pow (sqrt -2) 3)) (pow (- (* 1/6 (* (sqrt (log u1)) (sqrt -2))) 1/2) 2)) (sqrt (pow (log u1) 3))))))) (- (* 1/6 (* (sqrt (log u1)) (sqrt -2))) 1/2)) (sqrt (log u1)))) (* 1/9 (* (/ (* (pow (PI) 4) (pow (sqrt -2) 3)) (pow (- (* 1/6 (* (sqrt (log u1)) (sqrt -2))) 1/2) 2)) (sqrt (pow (log u1) 3)))))))) (* -1/3 (* (/ (* (pow (PI) 2) (pow (sqrt -2) 3)) (pow (- (* 1/6 (* (sqrt (log u1)) (sqrt -2))) 1/2) 2)) (sqrt (pow (log u1) 3)))))) (/ (* (log u1) (pow (sqrt -2) 2)) (- (* 1/6 (* (sqrt (log u1)) (sqrt -2))) 1/2)))>
#<alt (+ (* (pow u2 2) (- (+ (* -4 (/ (* (pow (PI) 2) (* (log u1) (pow (sqrt -2) 2))) (- (* 1/6 (* (sqrt (log u1)) (sqrt -2))) 1/2))) (* (pow u2 2) (- (+ (* (pow u2 2) (- (/ (* (log u1) (* (pow (sqrt -2) 2) (+ (* -8/3 (pow (PI) 6)) (* -8/45 (pow (PI) 6))))) (- (* 1/6 (* (sqrt (log u1)) (sqrt -2))) 1/2)) (+ (* -1/3 (* (/ (* (pow (PI) 2) (* (sqrt -2) (- (/ (* (log u1) (* (pow (sqrt -2) 2) (+ (* 4/3 (pow (PI) 4)) (* 4 (pow (PI) 4))))) (- (* 1/6 (* (sqrt (log u1)) (sqrt -2))) 1/2)) (+ (* -1/3 (* (/ (* (pow (PI) 2) (* (sqrt -2) (- (* -4 (/ (* (pow (PI) 2) (* (log u1) (pow (sqrt -2) 2))) (- (* 1/6 (* (sqrt (log u1)) (sqrt -2))) 1/2))) (* -1/3 (* (/ (* (pow (PI) 2) (pow (sqrt -2) 3)) (pow (- (* 1/6 (* (sqrt (log u1)) (sqrt -2))) 1/2) 2)) (sqrt (pow (log u1) 3))))))) (- (* 1/6 (* (sqrt (log u1)) (sqrt -2))) 1/2)) (sqrt (log u1)))) (* 1/9 (* (/ (* (pow (PI) 4) (pow (sqrt -2) 3)) (pow (- (* 1/6 (* (sqrt (log u1)) (sqrt -2))) 1/2) 2)) (sqrt (pow (log u1) 3)))))))) (- (* 1/6 (* (sqrt (log u1)) (sqrt -2))) 1/2)) (sqrt (log u1)))) (+ (* -2/135 (* (/ (* (pow (PI) 6) (pow (sqrt -2) 3)) (pow (- (* 1/6 (* (sqrt (log u1)) (sqrt -2))) 1/2) 2)) (sqrt (pow (log u1) 3)))) (* 1/9 (* (/ (* (pow (PI) 4) (* (sqrt -2) (- (* -4 (/ (* (pow (PI) 2) (* (log u1) (pow (sqrt -2) 2))) (- (* 1/6 (* (sqrt (log u1)) (sqrt -2))) 1/2))) (* -1/3 (* (/ (* (pow (PI) 2) (pow (sqrt -2) 3)) (pow (- (* 1/6 (* (sqrt (log u1)) (sqrt -2))) 1/2) 2)) (sqrt (pow (log u1) 3))))))) (- (* 1/6 (* (sqrt (log u1)) (sqrt -2))) 1/2)) (sqrt (log u1)))))))) (/ (* (log u1) (* (pow (sqrt -2) 2) (+ (* 4/3 (pow (PI) 4)) (* 4 (pow (PI) 4))))) (- (* 1/6 (* (sqrt (log u1)) (sqrt -2))) 1/2))) (+ (* -1/3 (* (/ (* (pow (PI) 2) (* (sqrt -2) (- (* -4 (/ (* (pow (PI) 2) (* (log u1) (pow (sqrt -2) 2))) (- (* 1/6 (* (sqrt (log u1)) (sqrt -2))) 1/2))) (* -1/3 (* (/ (* (pow (PI) 2) (pow (sqrt -2) 3)) (pow (- (* 1/6 (* (sqrt (log u1)) (sqrt -2))) 1/2) 2)) (sqrt (pow (log u1) 3))))))) (- (* 1/6 (* (sqrt (log u1)) (sqrt -2))) 1/2)) (sqrt (log u1)))) (* 1/9 (* (/ (* (pow (PI) 4) (pow (sqrt -2) 3)) (pow (- (* 1/6 (* (sqrt (log u1)) (sqrt -2))) 1/2) 2)) (sqrt (pow (log u1) 3)))))))) (* -1/3 (* (/ (* (pow (PI) 2) (pow (sqrt -2) 3)) (pow (- (* 1/6 (* (sqrt (log u1)) (sqrt -2))) 1/2) 2)) (sqrt (pow (log u1) 3)))))) (/ (* (log u1) (pow (sqrt -2) 2)) (- (* 1/6 (* (sqrt (log u1)) (sqrt -2))) 1/2)))>
#<alt (/ (* (pow (cos (* 2 (* u2 (PI)))) 2) (* (log u1) (pow (sqrt -2) 2))) (- (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))) 1/2))>
#<alt (/ (* (pow (cos (* 2 (* u2 (PI)))) 2) (* (log u1) (pow (sqrt -2) 2))) (- (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))) 1/2))>
#<alt (/ (* (pow (cos (* 2 (* u2 (PI)))) 2) (* (log u1) (pow (sqrt -2) 2))) (- (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))) 1/2))>
#<alt (/ (* (pow (cos (* 2 (* u2 (PI)))) 2) (* (log u1) (pow (sqrt -2) 2))) (- (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))) 1/2))>
#<alt (/ (* (pow (cos (* 2 (* u2 (PI)))) 2) (* (log u1) (pow (sqrt -2) 2))) (- (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))) 1/2))>
#<alt (/ (* (pow (cos (* 2 (* u2 (PI)))) 2) (* (log u1) (pow (sqrt -2) 2))) (- (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))) 1/2))>
#<alt (/ (* (pow (cos (* 2 (* u2 (PI)))) 2) (* (log u1) (pow (sqrt -2) 2))) (- (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))) 1/2))>
#<alt (/ (* (pow (cos (* 2 (* u2 (PI)))) 2) (* (log u1) (pow (sqrt -2) 2))) (- (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))) 1/2))>
#<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 (* -1 (log u1))>
#<alt (* -1 (log u1))>
#<alt (* -1 (log u1))>
#<alt (* -1 (log u1))>
#<alt (log (/ 1 u1))>
#<alt (log (/ 1 u1))>
#<alt (log (/ 1 u1))>
#<alt (log (/ 1 u1))>
#<alt (+ (log -1) (log (/ -1 u1)))>
#<alt (+ (log -1) (log (/ -1 u1)))>
#<alt (+ (log -1) (log (/ -1 u1)))>
#<alt (+ (log -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>
#<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))))>
Calls

96 calls:

TimeVariablePointExpression
42.0ms
u1
@0
(+ (* 1/36 (/ (pow (* (sqrt (* -2 (log u1))) (cos (* 2 (* (PI) u2)))) 2) (+ (* (sqrt (* -2 (log u1))) (* 1/6 (cos (* 2 (* (PI) u2))))) -1/2))) (neg (/ 1/4 (+ (* (sqrt (* -2 (log u1))) (* 1/6 (cos (* 2 (* (PI) u2))))) -1/2))))
33.0ms
u2
@inf
(+ (* (* (/ 1 6) (* (sqrt (log (/ 1 u1))) (sqrt 2))) (cos (* (* 2 (PI)) u2))) 1/2)
23.0ms
u1
@-inf
(+ (* (* (/ 1 6) (* (sqrt (log (/ 1 u1))) (sqrt 2))) (cos (* (* 2 (PI)) u2))) 1/2)
20.0ms
u1
@-inf
(* (pow (* -2 (log u1)) 1/8) (* 1/6 (pow (* -2 (log u1)) 1/4)))
19.0ms
u1
@inf
(* (pow (* -2 (log u1)) 1/8) (* 1/6 (pow (* -2 (log u1)) 1/4)))

rewrite1.0s (7.9%)

Memory
-16.1MiB live, 1 221.4MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
4 894×accelerator-lowering-fma.f32
4 894×accelerator-lowering-fma.f64
4 390×*-lowering-*.f32
4 390×*-lowering-*.f64
3 610×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
057259
1275256
21749247
08279240
Stop Event
1×iter limit
1×node limit
Counts
27 → 1 312
Calls
Call 1
Inputs
(/ 1 6)
(+ (* (* (/ 1 6) (* (sqrt (log (/ 1 u1))) (sqrt 2))) (cos (* (* 2 (PI)) u2))) 1/2)
(* (* (/ 1 6) (* (sqrt (log (/ 1 u1))) (sqrt 2))) (cos (* (* 2 (PI)) u2)))
(* (/ 1 6) (* (sqrt (log (/ 1 u1))) (sqrt 2)))
(+ (* (sqrt (log u1)) (* (sqrt -2) 1/6)) 1/2)
(* (sqrt (log u1)) (* (sqrt -2) 1/6))
(sqrt (log u1))
(log u1)
(pow (pow (* -2 (log u1)) 1/4) 2)
(+ (* (* (/ 1 6) (pow (pow (* -2 (log u1)) 1/4) 2)) (cos (* (* 2 (PI)) u2))) 1/2)
(* (* (/ 1 6) (pow (pow (* -2 (log u1)) 1/4) 2)) (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) (* 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)))
(+ (* 1/36 (/ (pow (* (sqrt (* -2 (log u1))) (cos (* 2 (* (PI) u2)))) 2) (+ (* (sqrt (* -2 (log u1))) (* 1/6 (cos (* 2 (* (PI) u2))))) -1/2))) (neg (/ 1/4 (+ (* (sqrt (* -2 (log u1))) (* 1/6 (cos (* 2 (* (PI) u2))))) -1/2))))
(pow (* (sqrt (* -2 (log u1))) (cos (* 2 (* (PI) u2)))) 2)
(neg (/ 1/4 (+ (* (sqrt (* -2 (log u1))) (* 1/6 (cos (* 2 (* (PI) u2))))) -1/2)))
(/ (pow (* (sqrt (* -2 (log u1))) (cos (* 2 (* (PI) u2)))) 2) (+ (* (sqrt (* -2 (log u1))) (* 1/6 (cos (* 2 (* (PI) u2))))) -1/2))
(PI)
(cos (* (* 2 (PI)) u2))
(log (/ 1 u1))
(sqrt 2)
(sqrt -2)
(* (sqrt -2) 1/6)
(* -2 (log u1))
(cos (* 2 (* (PI) u2)))
Outputs
#s(literal 1/6 binary64)
(+.f64 (*.f64 (sqrt.f64 (neg.f64 (*.f64 (log.f64 u1) #s(literal 2 binary64)))) (*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))))) #s(literal 1/2 binary64))
(+.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (neg.f64 (*.f64 (log.f64 u1) #s(literal 2 binary64)))) (*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))))))
(-.f64 (/.f64 (pow.f64 (*.f64 (sqrt.f64 (neg.f64 (*.f64 (log.f64 u1) #s(literal 2 binary64)))) (*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))))) #s(literal 2 binary64)) (+.f64 (*.f64 (sqrt.f64 (neg.f64 (*.f64 (log.f64 u1) #s(literal 2 binary64)))) (*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))))) #s(literal -1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (+.f64 (*.f64 (sqrt.f64 (neg.f64 (*.f64 (log.f64 u1) #s(literal 2 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 #s(literal 1/4 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (neg.f64 (*.f64 (log.f64 u1) #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 (sqrt.f64 (neg.f64 (*.f64 (log.f64 u1) #s(literal 2 binary64)))) (*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))))) #s(literal 2 binary64)) (-.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (neg.f64 (*.f64 (log.f64 u1) #s(literal 2 binary64)))) (*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))))))))
(fma.f64 #s(literal 1/6 binary64) (*.f64 (sqrt.f64 (neg.f64 (*.f64 (log.f64 u1) #s(literal 2 binary64)))) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))) #s(literal 1/2 binary64))
(fma.f64 (sqrt.f64 (neg.f64 (*.f64 (log.f64 u1) #s(literal 2 binary64)))) (*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))) #s(literal 1/2 binary64))
(fma.f64 (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (neg.f64 (*.f64 (log.f64 u1) #s(literal 2 binary64))))) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))) #s(literal 1/2 binary64))
(fma.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (neg.f64 (*.f64 (log.f64 u1) #s(literal 2 binary64))))) #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 (neg.f64 (*.f64 (log.f64 u1) #s(literal 2 binary64)))) #s(literal 1/2 binary64))
(fma.f64 (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (-.f64 #s(literal 0 binary64) (log.f64 u1)))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))) #s(literal 1/2 binary64))
(fma.f64 (*.f64 (sqrt.f64 (neg.f64 (*.f64 (log.f64 u1) #s(literal 2 binary64)))) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))) #s(literal 1/6 binary64) #s(literal 1/2 binary64))
(fma.f64 (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (-.f64 #s(literal 0 binary64) (log.f64 u1))))) (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (*.f64 (sqrt.f64 (neg.f64 (*.f64 (log.f64 u1) #s(literal 2 binary64)))) (*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))))) #s(literal 2 binary64)) (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (neg.f64 (*.f64 (log.f64 u1) #s(literal 2 binary64))))) (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))) #s(literal 1/2 binary64))))) (+.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 (sqrt.f64 (neg.f64 (*.f64 (log.f64 u1) #s(literal 2 binary64)))) (*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))))) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 (sqrt.f64 (neg.f64 (*.f64 (log.f64 u1) #s(literal 2 binary64)))) (*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))))) #s(literal -1/2 binary64)) (+.f64 (pow.f64 (*.f64 (sqrt.f64 (neg.f64 (*.f64 (log.f64 u1) #s(literal 2 binary64)))) (*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))))) #s(literal 2 binary64)) #s(literal -1/4 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 (pow.f64 (*.f64 (sqrt.f64 (neg.f64 (*.f64 (log.f64 u1) #s(literal 2 binary64)))) (*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))))) #s(literal 2 binary64)) (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (neg.f64 (*.f64 (log.f64 u1) #s(literal 2 binary64))))) (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))) #s(literal 1/2 binary64))))) (+.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 (sqrt.f64 (neg.f64 (*.f64 (log.f64 u1) #s(literal 2 binary64)))) (*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))))) #s(literal 3 binary64))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 (*.f64 (sqrt.f64 (neg.f64 (*.f64 (log.f64 u1) #s(literal 2 binary64)))) (*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))))) #s(literal -1/2 binary64)) (+.f64 (pow.f64 (*.f64 (sqrt.f64 (neg.f64 (*.f64 (log.f64 u1) #s(literal 2 binary64)))) (*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))))) #s(literal 2 binary64)) #s(literal -1/4 binary64)))))
(/.f64 (+.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 (sqrt.f64 (neg.f64 (*.f64 (log.f64 u1) #s(literal 2 binary64)))) (*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))))) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (sqrt.f64 (neg.f64 (*.f64 (log.f64 u1) #s(literal 2 binary64)))) (*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))))) #s(literal 2 binary64)) (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (neg.f64 (*.f64 (log.f64 u1) #s(literal 2 binary64))))) (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))) #s(literal 1/2 binary64))))))
(/.f64 (+.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 (sqrt.f64 (neg.f64 (*.f64 (log.f64 u1) #s(literal 2 binary64)))) (*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))))) #s(literal 3 binary64))) (+.f64 #s(literal 1/4 binary64) (-.f64 (pow.f64 (*.f64 (sqrt.f64 (neg.f64 (*.f64 (log.f64 u1) #s(literal 2 binary64)))) (*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))))) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (neg.f64 (*.f64 (log.f64 u1) #s(literal 2 binary64))))) (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))) #s(literal 1/2 binary64))))))
(/.f64 (+.f64 (pow.f64 (*.f64 (sqrt.f64 (neg.f64 (*.f64 (log.f64 u1) #s(literal 2 binary64)))) (*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))))) #s(literal 2 binary64)) #s(literal -1/4 binary64)) (+.f64 (*.f64 (sqrt.f64 (neg.f64 (*.f64 (log.f64 u1) #s(literal 2 binary64)))) (*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))))) #s(literal -1/2 binary64)))
(/.f64 (neg.f64 (+.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 (sqrt.f64 (neg.f64 (*.f64 (log.f64 u1) #s(literal 2 binary64)))) (*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))))) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (*.f64 (sqrt.f64 (neg.f64 (*.f64 (log.f64 u1) #s(literal 2 binary64)))) (*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))))) #s(literal 2 binary64)) (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (neg.f64 (*.f64 (log.f64 u1) #s(literal 2 binary64))))) (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))) #s(literal 1/2 binary64)))))))
(/.f64 (neg.f64 (+.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 (sqrt.f64 (neg.f64 (*.f64 (log.f64 u1) #s(literal 2 binary64)))) (*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))))) #s(literal 3 binary64)))) (neg.f64 (+.f64 #s(literal 1/4 binary64) (-.f64 (pow.f64 (*.f64 (sqrt.f64 (neg.f64 (*.f64 (log.f64 u1) #s(literal 2 binary64)))) (*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))))) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (neg.f64 (*.f64 (log.f64 u1) #s(literal 2 binary64))))) (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))) #s(literal 1/2 binary64)))))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 (sqrt.f64 (neg.f64 (*.f64 (log.f64 u1) #s(literal 2 binary64)))) (*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))))) #s(literal 2 binary64)) #s(literal -1/4 binary64))) (neg.f64 (+.f64 (*.f64 (sqrt.f64 (neg.f64 (*.f64 (log.f64 u1) #s(literal 2 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 #s(literal 1/4 binary64) (pow.f64 (*.f64 (sqrt.f64 (neg.f64 (*.f64 (log.f64 u1) #s(literal 2 binary64)))) (*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))))) #s(literal 2 binary64))) (-.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (neg.f64 (*.f64 (log.f64 u1) #s(literal 2 binary64)))) (*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))))))
(/.f64 (-.f64 (*.f64 (pow.f64 (*.f64 (sqrt.f64 (neg.f64 (*.f64 (log.f64 u1) #s(literal 2 binary64)))) (*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))))) #s(literal 2 binary64)) (+.f64 (*.f64 (sqrt.f64 (neg.f64 (*.f64 (log.f64 u1) #s(literal 2 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 (sqrt.f64 (neg.f64 (*.f64 (log.f64 u1) #s(literal 2 binary64)))) (*.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 (+.f64 (*.f64 (sqrt.f64 (neg.f64 (*.f64 (log.f64 u1) #s(literal 2 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 (sqrt.f64 (neg.f64 (*.f64 (log.f64 u1) #s(literal 2 binary64)))) (*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))))) #s(literal -1/2 binary64))))
(/.f64 (neg.f64 (neg.f64 (+.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 (sqrt.f64 (neg.f64 (*.f64 (log.f64 u1) #s(literal 2 binary64)))) (*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))))) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 (sqrt.f64 (neg.f64 (*.f64 (log.f64 u1) #s(literal 2 binary64)))) (*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))))) #s(literal 2 binary64)) (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (neg.f64 (*.f64 (log.f64 u1) #s(literal 2 binary64))))) (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))) #s(literal 1/2 binary64))))))))
(/.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 (sqrt.f64 (neg.f64 (*.f64 (log.f64 u1) #s(literal 2 binary64)))) (*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))))) #s(literal 2 binary64)) #s(literal -1/4 binary64)))) (neg.f64 (neg.f64 (+.f64 (*.f64 (sqrt.f64 (neg.f64 (*.f64 (log.f64 u1) #s(literal 2 binary64)))) (*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))))) #s(literal -1/2 binary64)))))
(/.f64 (neg.f64 (-.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 (sqrt.f64 (neg.f64 (*.f64 (log.f64 u1) #s(literal 2 binary64)))) (*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))))) #s(literal 2 binary64)))) (neg.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (neg.f64 (*.f64 (log.f64 u1) #s(literal 2 binary64)))) (*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 (sqrt.f64 (neg.f64 (*.f64 (log.f64 u1) #s(literal 2 binary64)))) (*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))))) #s(literal 2 binary64)) (+.f64 (*.f64 (sqrt.f64 (neg.f64 (*.f64 (log.f64 u1) #s(literal 2 binary64)))) (*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))))) #s(literal -1/2 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1/4 binary64) (+.f64 (*.f64 (sqrt.f64 (neg.f64 (*.f64 (log.f64 u1) #s(literal 2 binary64)))) (*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))))) #s(literal -1/2 binary64))) #s(literal 3 binary64))) (+.f64 (*.f64 (/.f64 (pow.f64 (*.f64 (sqrt.f64 (neg.f64 (*.f64 (log.f64 u1) #s(literal 2 binary64)))) (*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))))) #s(literal 2 binary64)) (+.f64 (*.f64 (sqrt.f64 (neg.f64 (*.f64 (log.f64 u1) #s(literal 2 binary64)))) (*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))))) #s(literal -1/2 binary64))) (/.f64 (pow.f64 (*.f64 (sqrt.f64 (neg.f64 (*.f64 (log.f64 u1) #s(literal 2 binary64)))) (*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))))) #s(literal 2 binary64)) (+.f64 (*.f64 (sqrt.f64 (neg.f64 (*.f64 (log.f64 u1) #s(literal 2 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 #s(literal 1/4 binary64) (+.f64 (*.f64 (sqrt.f64 (neg.f64 (*.f64 (log.f64 u1) #s(literal 2 binary64)))) (*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))))) #s(literal -1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (+.f64 (*.f64 (sqrt.f64 (neg.f64 (*.f64 (log.f64 u1) #s(literal 2 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 (pow.f64 (*.f64 (sqrt.f64 (neg.f64 (*.f64 (log.f64 u1) #s(literal 2 binary64)))) (*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))))) #s(literal 2 binary64)) (+.f64 (*.f64 (sqrt.f64 (neg.f64 (*.f64 (log.f64 u1) #s(literal 2 binary64)))) (*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))))) #s(literal -1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (+.f64 (*.f64 (sqrt.f64 (neg.f64 (*.f64 (log.f64 u1) #s(literal 2 binary64)))) (*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))))) #s(literal -1/2 binary64)))))))
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(fma.f64 (cos.f64 (*.f64 (PI.f64) u2)) (cos.f64 (*.f64 (PI.f64) u2)) (neg.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))))))
(fma.f64 (cos.f64 (*.f64 (PI.f64) u2)) (cos.f64 (*.f64 (PI.f64) u2)) (*.f64 (neg.f64 (sin.f64 (*.f64 (PI.f64) u2))) (sin.f64 (*.f64 (PI.f64) u2))))
(/.f64 (-.f64 (pow.f64 (cos.f64 (*.f64 (PI.f64) u2)) #s(literal 6 binary64)) (pow.f64 (sin.f64 (*.f64 (PI.f64) u2)) #s(literal 6 binary64))) (+.f64 (pow.f64 (cos.f64 (*.f64 (PI.f64) u2)) #s(literal 4 binary64)) (+.f64 (pow.f64 (sin.f64 (*.f64 (PI.f64) u2)) #s(literal 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) u2))))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))))))))
(/.f64 (-.f64 (pow.f64 (cos.f64 (*.f64 (PI.f64) u2)) #s(literal 4 binary64)) (pow.f64 (sin.f64 (*.f64 (PI.f64) u2)) #s(literal 4 binary64))) #s(literal 1 binary64))
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(*.f64 (+.f64 (cos.f64 (*.f64 (PI.f64) u2)) (sin.f64 (*.f64 (PI.f64) u2))) (-.f64 (cos.f64 (*.f64 (PI.f64) u2)) (sin.f64 (*.f64 (PI.f64) u2))))
(*.f64 (pow.f64 (+.f64 (cos.f64 (*.f64 (PI.f64) u2)) (sin.f64 (*.f64 (PI.f64) u2))) #s(literal 1 binary64)) (pow.f64 (-.f64 (cos.f64 (*.f64 (PI.f64) u2)) (sin.f64 (*.f64 (PI.f64) u2))) #s(literal 1 binary64)))

simplify584.0ms (4.5%)

Memory
35.4MiB live, 1 024.3MiB allocated
Algorithm
1×egg-herbie
Rules
10 014×accelerator-lowering-fma.f32
10 014×accelerator-lowering-fma.f64
8 680×*-lowering-*.f32
8 680×*-lowering-*.f64
4 278×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04199702
112369135
245109016
083828637
Stop Event
1×iter limit
1×node limit
Counts
384 → 384
Calls
Call 1
Inputs
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(* -1 (* (pow (cos (* 2 (* u2 (PI)))) 2) (* (log (/ 1 u1)) (pow (sqrt -2) 2))))
(* (pow (cos (* 2 (* u2 (PI)))) 2) (* (pow (sqrt -2) 2) (+ (log -1) (* -1 (log (/ -1 u1))))))
(* (pow (cos (* 2 (* u2 (PI)))) 2) (* (pow (sqrt -2) 2) (+ (log -1) (* -1 (log (/ -1 u1))))))
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(* (pow (cos (* 2 (* u2 (PI)))) 2) (* (pow (sqrt -2) 2) (+ (log -1) (* -1 (log (/ -1 u1))))))
(* (log u1) (pow (sqrt -2) 2))
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(/ -1/4 (- (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))) 1/2))
(/ -1/4 (- (* 1/6 (* (sqrt (log u1)) (sqrt -2))) 1/2))
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(/ -1/4 (- (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))) 1/2))
(/ -1/4 (- (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))) 1/2))
(/ -1/4 (- (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))) 1/2))
(/ -1/4 (- (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))) 1/2))
(/ -1/4 (- (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))) 1/2))
(/ -1/4 (- (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))) 1/2))
(/ (* (pow (cos (* 2 (* u2 (PI)))) 2) (* (log u1) (pow (sqrt -2) 2))) (- (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))) 1/2))
(/ (* (pow (cos (* 2 (* u2 (PI)))) 2) (* (log u1) (pow (sqrt -2) 2))) (- (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))) 1/2))
(/ (* (pow (cos (* 2 (* u2 (PI)))) 2) (* (log u1) (pow (sqrt -2) 2))) (- (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))) 1/2))
(/ (* (pow (cos (* 2 (* u2 (PI)))) 2) (* (log u1) (pow (sqrt -2) 2))) (- (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))) 1/2))
(* -1 (/ (* (pow (cos (* 2 (* u2 (PI)))) 2) (* (log (/ 1 u1)) (pow (sqrt -2) 2))) (- (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -2) (sqrt -1))) (sqrt (log (/ 1 u1))))) 1/2)))
(* -1 (/ (* (pow (cos (* 2 (* u2 (PI)))) 2) (* (log (/ 1 u1)) (pow (sqrt -2) 2))) (- (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -2) (sqrt -1))) (sqrt (log (/ 1 u1))))) 1/2)))
(* -1 (/ (* (pow (cos (* 2 (* u2 (PI)))) 2) (* (log (/ 1 u1)) (pow (sqrt -2) 2))) (- (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -2) (sqrt -1))) (sqrt (log (/ 1 u1))))) 1/2)))
(* -1 (/ (* (pow (cos (* 2 (* u2 (PI)))) 2) (* (log (/ 1 u1)) (pow (sqrt -2) 2))) (- (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -2) (sqrt -1))) (sqrt (log (/ 1 u1))))) 1/2)))
(/ (* (pow (cos (* 2 (* u2 (PI)))) 2) (* (pow (sqrt -2) 2) (+ (log -1) (* -1 (log (/ -1 u1)))))) (- (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))) 1/2))
(/ (* (pow (cos (* 2 (* u2 (PI)))) 2) (* (pow (sqrt -2) 2) (+ (log -1) (* -1 (log (/ -1 u1)))))) (- (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))) 1/2))
(/ (* (pow (cos (* 2 (* u2 (PI)))) 2) (* (pow (sqrt -2) 2) (+ (log -1) (* -1 (log (/ -1 u1)))))) (- (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))) 1/2))
(/ (* (pow (cos (* 2 (* u2 (PI)))) 2) (* (pow (sqrt -2) 2) (+ (log -1) (* -1 (log (/ -1 u1)))))) (- (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))) 1/2))
(/ (* (log u1) (pow (sqrt -2) 2)) (- (* 1/6 (* (sqrt (log u1)) (sqrt -2))) 1/2))
(+ (* (pow u2 2) (- (* -4 (/ (* (pow (PI) 2) (* (log u1) (pow (sqrt -2) 2))) (- (* 1/6 (* (sqrt (log u1)) (sqrt -2))) 1/2))) (* -1/3 (* (/ (* (pow (PI) 2) (pow (sqrt -2) 3)) (pow (- (* 1/6 (* (sqrt (log u1)) (sqrt -2))) 1/2) 2)) (sqrt (pow (log u1) 3)))))) (/ (* (log u1) (pow (sqrt -2) 2)) (- (* 1/6 (* (sqrt (log u1)) (sqrt -2))) 1/2)))
(+ (* (pow u2 2) (- (+ (* -4 (/ (* (pow (PI) 2) (* (log u1) (pow (sqrt -2) 2))) (- (* 1/6 (* (sqrt (log u1)) (sqrt -2))) 1/2))) (* (pow u2 2) (- (/ (* (log u1) (* (pow (sqrt -2) 2) (+ (* 4/3 (pow (PI) 4)) (* 4 (pow (PI) 4))))) (- (* 1/6 (* (sqrt (log u1)) (sqrt -2))) 1/2)) (+ (* -1/3 (* (/ (* (pow (PI) 2) (* (sqrt -2) (- (* -4 (/ (* (pow (PI) 2) (* (log u1) (pow (sqrt -2) 2))) (- (* 1/6 (* (sqrt (log u1)) (sqrt -2))) 1/2))) (* -1/3 (* (/ (* (pow (PI) 2) (pow (sqrt -2) 3)) (pow (- (* 1/6 (* (sqrt (log u1)) (sqrt -2))) 1/2) 2)) (sqrt (pow (log u1) 3))))))) (- (* 1/6 (* (sqrt (log u1)) (sqrt -2))) 1/2)) (sqrt (log u1)))) (* 1/9 (* (/ (* (pow (PI) 4) (pow (sqrt -2) 3)) (pow (- (* 1/6 (* (sqrt (log u1)) (sqrt -2))) 1/2) 2)) (sqrt (pow (log u1) 3)))))))) (* -1/3 (* (/ (* (pow (PI) 2) (pow (sqrt -2) 3)) (pow (- (* 1/6 (* (sqrt (log u1)) (sqrt -2))) 1/2) 2)) (sqrt (pow (log u1) 3)))))) (/ (* (log u1) (pow (sqrt -2) 2)) (- (* 1/6 (* (sqrt (log u1)) (sqrt -2))) 1/2)))
(+ (* (pow u2 2) (- (+ (* -4 (/ (* (pow (PI) 2) (* (log u1) (pow (sqrt -2) 2))) (- (* 1/6 (* (sqrt (log u1)) (sqrt -2))) 1/2))) (* (pow u2 2) (- (+ (* (pow u2 2) (- (/ (* (log u1) (* (pow (sqrt -2) 2) (+ (* -8/3 (pow (PI) 6)) (* -8/45 (pow (PI) 6))))) (- (* 1/6 (* (sqrt (log u1)) (sqrt -2))) 1/2)) (+ (* -1/3 (* (/ (* (pow (PI) 2) (* (sqrt -2) (- (/ (* (log u1) (* (pow (sqrt -2) 2) (+ (* 4/3 (pow (PI) 4)) (* 4 (pow (PI) 4))))) (- (* 1/6 (* (sqrt (log u1)) (sqrt -2))) 1/2)) (+ (* -1/3 (* (/ (* (pow (PI) 2) (* (sqrt -2) (- (* -4 (/ (* (pow (PI) 2) (* (log u1) (pow (sqrt -2) 2))) (- (* 1/6 (* (sqrt (log u1)) (sqrt -2))) 1/2))) (* -1/3 (* (/ (* (pow (PI) 2) (pow (sqrt -2) 3)) (pow (- (* 1/6 (* (sqrt (log u1)) (sqrt -2))) 1/2) 2)) (sqrt (pow (log u1) 3))))))) (- (* 1/6 (* (sqrt (log u1)) (sqrt -2))) 1/2)) (sqrt (log u1)))) (* 1/9 (* (/ (* (pow (PI) 4) (pow (sqrt -2) 3)) (pow (- (* 1/6 (* (sqrt (log u1)) (sqrt -2))) 1/2) 2)) (sqrt (pow (log u1) 3)))))))) (- (* 1/6 (* (sqrt (log u1)) (sqrt -2))) 1/2)) (sqrt (log u1)))) (+ (* -2/135 (* (/ (* (pow (PI) 6) (pow (sqrt -2) 3)) (pow (- (* 1/6 (* (sqrt (log u1)) (sqrt -2))) 1/2) 2)) (sqrt (pow (log u1) 3)))) (* 1/9 (* (/ (* (pow (PI) 4) (* (sqrt -2) (- (* -4 (/ (* (pow (PI) 2) (* (log u1) (pow (sqrt -2) 2))) (- (* 1/6 (* (sqrt (log u1)) (sqrt -2))) 1/2))) (* -1/3 (* (/ (* (pow (PI) 2) (pow (sqrt -2) 3)) (pow (- (* 1/6 (* (sqrt (log u1)) (sqrt -2))) 1/2) 2)) (sqrt (pow (log u1) 3))))))) (- (* 1/6 (* (sqrt (log u1)) (sqrt -2))) 1/2)) (sqrt (log u1)))))))) (/ (* (log u1) (* (pow (sqrt -2) 2) (+ (* 4/3 (pow (PI) 4)) (* 4 (pow (PI) 4))))) (- (* 1/6 (* (sqrt (log u1)) (sqrt -2))) 1/2))) (+ (* -1/3 (* (/ (* (pow (PI) 2) (* (sqrt -2) (- (* -4 (/ (* (pow (PI) 2) (* (log u1) (pow (sqrt -2) 2))) (- (* 1/6 (* (sqrt (log u1)) (sqrt -2))) 1/2))) (* -1/3 (* (/ (* (pow (PI) 2) (pow (sqrt -2) 3)) (pow (- (* 1/6 (* (sqrt (log u1)) (sqrt -2))) 1/2) 2)) (sqrt (pow (log u1) 3))))))) (- (* 1/6 (* (sqrt (log u1)) (sqrt -2))) 1/2)) (sqrt (log u1)))) (* 1/9 (* (/ (* (pow (PI) 4) (pow (sqrt -2) 3)) (pow (- (* 1/6 (* (sqrt (log u1)) (sqrt -2))) 1/2) 2)) (sqrt (pow (log u1) 3)))))))) (* -1/3 (* (/ (* (pow (PI) 2) (pow (sqrt -2) 3)) (pow (- (* 1/6 (* (sqrt (log u1)) (sqrt -2))) 1/2) 2)) (sqrt (pow (log u1) 3)))))) (/ (* (log u1) (pow (sqrt -2) 2)) (- (* 1/6 (* (sqrt (log u1)) (sqrt -2))) 1/2)))
(/ (* (pow (cos (* 2 (* u2 (PI)))) 2) (* (log u1) (pow (sqrt -2) 2))) (- (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))) 1/2))
(/ (* (pow (cos (* 2 (* u2 (PI)))) 2) (* (log u1) (pow (sqrt -2) 2))) (- (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))) 1/2))
(/ (* (pow (cos (* 2 (* u2 (PI)))) 2) (* (log u1) (pow (sqrt -2) 2))) (- (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))) 1/2))
(/ (* (pow (cos (* 2 (* u2 (PI)))) 2) (* (log u1) (pow (sqrt -2) 2))) (- (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))) 1/2))
(/ (* (pow (cos (* 2 (* u2 (PI)))) 2) (* (log u1) (pow (sqrt -2) 2))) (- (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))) 1/2))
(/ (* (pow (cos (* 2 (* u2 (PI)))) 2) (* (log u1) (pow (sqrt -2) 2))) (- (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))) 1/2))
(/ (* (pow (cos (* 2 (* u2 (PI)))) 2) (* (log u1) (pow (sqrt -2) 2))) (- (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))) 1/2))
(/ (* (pow (cos (* 2 (* u2 (PI)))) 2) (* (log u1) (pow (sqrt -2) 2))) (- (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))) 1/2))
1
(+ 1 (* -2 (* (pow u2 2) (pow (PI) 2))))
(+ 1 (* (pow u2 2) (+ (* -2 (pow (PI) 2)) (* 2/3 (* (pow u2 2) (pow (PI) 4))))))
(+ 1 (* (pow u2 2) (+ (* -2 (pow (PI) 2)) (* (pow u2 2) (+ (* -4/45 (* (pow u2 2) (pow (PI) 6))) (* 2/3 (pow (PI) 4)))))))
(cos (* 2 (* u2 (PI))))
(cos (* 2 (* u2 (PI))))
(cos (* 2 (* u2 (PI))))
(cos (* 2 (* u2 (PI))))
(cos (* 2 (* u2 (PI))))
(cos (* 2 (* u2 (PI))))
(cos (* 2 (* u2 (PI))))
(cos (* 2 (* u2 (PI))))
(* -1 (log u1))
(* -1 (log u1))
(* -1 (log u1))
(* -1 (log u1))
(log (/ 1 u1))
(log (/ 1 u1))
(log (/ 1 u1))
(log (/ 1 u1))
(+ (log -1) (log (/ -1 u1)))
(+ (log -1) (log (/ -1 u1)))
(+ (log -1) (log (/ -1 u1)))
(+ (log -1) (log (/ -1 u1)))
(* -2 (log u1))
(* -2 (log u1))
(* -2 (log u1))
(* -2 (log u1))
(* 2 (log (/ 1 u1)))
(* 2 (log (/ 1 u1)))
(* 2 (log (/ 1 u1)))
(* 2 (log (/ 1 u1)))
(* -2 (+ (log -1) (* -1 (log (/ -1 u1)))))
(* -2 (+ (log -1) (* -1 (log (/ -1 u1)))))
(* -2 (+ (log -1) (* -1 (log (/ -1 u1)))))
(* -2 (+ (log -1) (* -1 (log (/ -1 u1)))))
1
(+ 1 (* -2 (* (pow u2 2) (pow (PI) 2))))
(+ 1 (* (pow u2 2) (+ (* -2 (pow (PI) 2)) (* 2/3 (* (pow u2 2) (pow (PI) 4))))))
(+ 1 (* (pow u2 2) (+ (* -2 (pow (PI) 2)) (* (pow u2 2) (+ (* -4/45 (* (pow u2 2) (pow (PI) 6))) (* 2/3 (pow (PI) 4)))))))
(cos (* 2 (* u2 (PI))))
(cos (* 2 (* u2 (PI))))
(cos (* 2 (* u2 (PI))))
(cos (* 2 (* u2 (PI))))
(cos (* 2 (* u2 (PI))))
(cos (* 2 (* u2 (PI))))
(cos (* 2 (* u2 (PI))))
(cos (* 2 (* u2 (PI))))
Outputs
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (sqrt 2))) (sqrt (log u1)))))
(+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 u2 (PI.f64)))) (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (log.f64 u1))) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal 2 binary64))))))
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (sqrt 2))) (sqrt (log u1)))))
(+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 u2 (PI.f64)))) (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (log.f64 u1))) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal 2 binary64))))))
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (sqrt 2))) (sqrt (log u1)))))
(+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 u2 (PI.f64)))) (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (log.f64 u1))) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal 2 binary64))))))
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (sqrt 2))) (sqrt (log u1)))))
(+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 u2 (PI.f64)))) (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (log.f64 u1))) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal 2 binary64))))))
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt 2)) (sqrt (log (/ 1 u1))))))
(+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 u2 (PI.f64)))) (*.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (log.f64 u1))) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal 2 binary64))))))
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt 2)) (sqrt (log (/ 1 u1))))))
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(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 u2 u2) (+.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal -2 binary64)) (*.f64 u2 (*.f64 u2 (*.f64 (pow.f64 (PI.f64) #s(literal 4 binary64)) #s(literal 2/3 binary64)))))))
(+ 1 (* (pow u2 2) (+ (* -2 (pow (PI) 2)) (* (pow u2 2) (+ (* -4/45 (* (pow u2 2) (pow (PI) 6))) (* 2/3 (pow (PI) 4)))))))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 u2 u2) (+.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal -2 binary64)) (*.f64 (*.f64 u2 u2) (+.f64 (*.f64 (*.f64 u2 u2) (*.f64 (pow.f64 (PI.f64) #s(literal 6 binary64)) #s(literal -4/45 binary64))) (*.f64 (pow.f64 (PI.f64) #s(literal 4 binary64)) #s(literal 2/3 binary64)))))))
(cos (* 2 (* u2 (PI))))
(cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 u2 (PI.f64))))
(cos (* 2 (* u2 (PI))))
(cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 u2 (PI.f64))))
(cos (* 2 (* u2 (PI))))
(cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 u2 (PI.f64))))
(cos (* 2 (* u2 (PI))))
(cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 u2 (PI.f64))))
(cos (* 2 (* u2 (PI))))
(cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 u2 (PI.f64))))
(cos (* 2 (* u2 (PI))))
(cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 u2 (PI.f64))))
(cos (* 2 (* u2 (PI))))
(cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 u2 (PI.f64))))
(cos (* 2 (* u2 (PI))))
(cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 u2 (PI.f64))))
(* -1 (log u1))
(-.f64 #s(literal 0 binary64) (log.f64 u1))
(* -1 (log u1))
(-.f64 #s(literal 0 binary64) (log.f64 u1))
(* -1 (log u1))
(-.f64 #s(literal 0 binary64) (log.f64 u1))
(* -1 (log u1))
(-.f64 #s(literal 0 binary64) (log.f64 u1))
(log (/ 1 u1))
(-.f64 #s(literal 0 binary64) (log.f64 u1))
(log (/ 1 u1))
(-.f64 #s(literal 0 binary64) (log.f64 u1))
(log (/ 1 u1))
(-.f64 #s(literal 0 binary64) (log.f64 u1))
(log (/ 1 u1))
(-.f64 #s(literal 0 binary64) (log.f64 u1))
(+ (log -1) (log (/ -1 u1)))
(+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) u1)))
(+ (log -1) (log (/ -1 u1)))
(+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) u1)))
(+ (log -1) (log (/ -1 u1)))
(+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) u1)))
(+ (log -1) (log (/ -1 u1)))
(+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) u1)))
(* -2 (log u1))
(*.f64 (log.f64 u1) #s(literal -2 binary64))
(* -2 (log u1))
(*.f64 (log.f64 u1) #s(literal -2 binary64))
(* -2 (log u1))
(*.f64 (log.f64 u1) #s(literal -2 binary64))
(* -2 (log u1))
(*.f64 (log.f64 u1) #s(literal -2 binary64))
(* 2 (log (/ 1 u1)))
(*.f64 (log.f64 u1) #s(literal -2 binary64))
(* 2 (log (/ 1 u1)))
(*.f64 (log.f64 u1) #s(literal -2 binary64))
(* 2 (log (/ 1 u1)))
(*.f64 (log.f64 u1) #s(literal -2 binary64))
(* 2 (log (/ 1 u1)))
(*.f64 (log.f64 u1) #s(literal -2 binary64))
(* -2 (+ (log -1) (* -1 (log (/ -1 u1)))))
(*.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) u1))) #s(literal -2 binary64))
(* -2 (+ (log -1) (* -1 (log (/ -1 u1)))))
(*.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) u1))) #s(literal -2 binary64))
(* -2 (+ (log -1) (* -1 (log (/ -1 u1)))))
(*.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) u1))) #s(literal -2 binary64))
(* -2 (+ (log -1) (* -1 (log (/ -1 u1)))))
(*.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) u1))) #s(literal -2 binary64))
1
#s(literal 1 binary64)
(+ 1 (* -2 (* (pow u2 2) (pow (PI) 2))))
(+.f64 #s(literal 1 binary64) (*.f64 u2 (*.f64 u2 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal -2 binary64)))))
(+ 1 (* (pow u2 2) (+ (* -2 (pow (PI) 2)) (* 2/3 (* (pow u2 2) (pow (PI) 4))))))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 u2 u2) (+.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal -2 binary64)) (*.f64 u2 (*.f64 u2 (*.f64 (pow.f64 (PI.f64) #s(literal 4 binary64)) #s(literal 2/3 binary64)))))))
(+ 1 (* (pow u2 2) (+ (* -2 (pow (PI) 2)) (* (pow u2 2) (+ (* -4/45 (* (pow u2 2) (pow (PI) 6))) (* 2/3 (pow (PI) 4)))))))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 u2 u2) (+.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal -2 binary64)) (*.f64 (*.f64 u2 u2) (+.f64 (*.f64 (*.f64 u2 u2) (*.f64 (pow.f64 (PI.f64) #s(literal 6 binary64)) #s(literal -4/45 binary64))) (*.f64 (pow.f64 (PI.f64) #s(literal 4 binary64)) #s(literal 2/3 binary64)))))))
(cos (* 2 (* u2 (PI))))
(cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 u2 (PI.f64))))
(cos (* 2 (* u2 (PI))))
(cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 u2 (PI.f64))))
(cos (* 2 (* u2 (PI))))
(cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 u2 (PI.f64))))
(cos (* 2 (* u2 (PI))))
(cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 u2 (PI.f64))))
(cos (* 2 (* u2 (PI))))
(cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 u2 (PI.f64))))
(cos (* 2 (* u2 (PI))))
(cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 u2 (PI.f64))))
(cos (* 2 (* u2 (PI))))
(cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 u2 (PI.f64))))
(cos (* 2 (* u2 (PI))))
(cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 u2 (PI.f64))))

eval356.0ms (2.7%)

Memory
30.3MiB live, 638.8MiB allocated
Compiler

Compiled 145 924 to 5 418 computations (96.3% saved)

prune281.0ms (2.2%)

Memory
-41.5MiB live, 407.4MiB allocated
Pruning

13 alts after pruning (13 fresh and 0 done)

PrunedKeptTotal
New2 435122 447
Fresh10111
Picked505
Done000
Total2 450132 463
Accuracy
100.0%
Counts
2 463 → 13
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶98.7%
(fma.f64 (pow.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)) #s(literal 1/4 binary64)) (*.f64 #s(literal 1/6 binary64) (pow.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)) #s(literal 1/4 binary64))) #s(literal 1/2 binary64))
98.8%
(/.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/36 binary64) (*.f64 (log.f64 u1) #s(literal -2 binary64)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))))))
▶98.7%
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)))) #s(literal -1/2 binary64)) (+.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal -1/4 binary64))))
▶99.4%
(-.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))) (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))))) #s(literal -1/2 binary64))
▶98.7%
(+.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))) #s(literal 1 binary64)) #s(literal 1/2 binary64))
98.9%
(+.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))
99.3%
(+.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) (*.f64 (sqrt.f64 (log.f64 (/.f64 #s(literal 1 binary64) u1))) (sqrt.f64 #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 u2 (*.f64 u2 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal -2 binary64)))))) #s(literal 1/2 binary64))
99.0%
(+.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) (*.f64 (sqrt.f64 (log.f64 (/.f64 #s(literal 1 binary64) u1))) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64))
98.8%
(+.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)) #s(literal 1/8 binary64))) (pow.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)) #s(literal 3/8 binary64))) #s(literal 1/2 binary64))
99.1%
(+.f64 (*.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (log.f64 u1))) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 1/2 binary64))
▶98.9%
(+.f64 (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal 1/6 binary64)) #s(literal 1/2 binary64))
98.7%
(*.f64 (+.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal -1/4 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)))) #s(literal -1/2 binary64))))
98.6%
(*.f64 (+.f64 #s(literal 1/8 binary64) (*.f64 #s(literal 1/216 binary64) (pow.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)) #s(literal 3/2 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 (log.f64 u1) #s(literal -2 binary64))) (-.f64 #s(literal 1/4 binary64) (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal 1/12 binary64))))))
Compiler

Compiled 524 to 416 computations (20.6% saved)

simplify15.0ms (0.1%)

Memory
26.5MiB live, 26.5MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(log.f64 u1)
✓cost-diff0
(*.f64 (log.f64 u1) #s(literal -2 binary64))
✓cost-diff0
(pow.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)) #s(literal 1/4 binary64))
✓cost-diff19456
(fma.f64 (pow.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)) #s(literal 1/4 binary64)) (*.f64 #s(literal 1/6 binary64) (pow.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)) #s(literal 1/4 binary64))) #s(literal 1/2 binary64))
✓cost-diff0
(+.f64 (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)))) #s(literal -1/2 binary64))
✓cost-diff0
(/.f64 (+.f64 (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)))) #s(literal -1/2 binary64)) (+.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal -1/4 binary64)))
✓cost-diff128
(*.f64 #s(literal 1/36 binary64) (*.f64 (log.f64 u1) #s(literal -2 binary64)))
✓cost-diff128
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)))) #s(literal -1/2 binary64)) (+.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal -1/4 binary64))))
✓cost-diff0
(+.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))) #s(literal 1 binary64)) #s(literal 1/2 binary64))
✓cost-diff128
(/.f64 #s(literal 1 binary64) #s(literal 6 binary64))
✓cost-diff128
(*.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))) #s(literal 1 binary64))
✓cost-diff6528
(pow.f64 (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/4 binary64)) #s(literal 2 binary64))
✓cost-diff0
(*.f64 (log.f64 u1) #s(literal -2 binary64))
✓cost-diff0
(sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)))
✓cost-diff0
(*.f64 (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal 1/6 binary64))
✓cost-diff0
(+.f64 (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal 1/6 binary64)) #s(literal 1/2 binary64))
✓cost-diff0
(cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))
✓cost-diff0
(*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))) (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))))
✓cost-diff0
(*.f64 #s(literal 1/6 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))) (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)))))
✓cost-diff0
(-.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))) (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))))) #s(literal -1/2 binary64))
Rules
290×*-lowering-*.f32
290×*-lowering-*.f64
146×associate-*r*
106×associate-*l*
104×accelerator-lowering-fma.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
041273
176265
2117263
3171263
4278263
5347263
6347263
0347253
Stop Event
1×iter limit
1×saturated
Calls
Call 1
Inputs
(- (* 1/6 (* (cos (* 2 (* (PI) u2))) (sqrt (* (log u1) -2)))) -1/2)
(* 1/6 (* (cos (* 2 (* (PI) u2))) (sqrt (* (log u1) -2))))
1/6
(* (cos (* 2 (* (PI) u2))) (sqrt (* (log u1) -2)))
(cos (* 2 (* (PI) u2)))
(* 2 (* (PI) u2))
2
(* (PI) u2)
(PI)
u2
(sqrt (* (log u1) -2))
(* (log u1) -2)
(log u1)
u1
-2
-1/2
(+ (* (sqrt (* (log u1) -2)) 1/6) 1/2)
(* (sqrt (* (log u1) -2)) 1/6)
(sqrt (* (log u1) -2))
(* (log u1) -2)
(log u1)
u1
-2
1/6
1/2
(+ (* (* (/ 1 6) (pow (pow (* -2 (log u1)) 1/4) 2)) 1) 1/2)
(* (* (/ 1 6) (pow (pow (* -2 (log u1)) 1/4) 2)) 1)
(* (/ 1 6) (pow (pow (* -2 (log u1)) 1/4) 2))
(/ 1 6)
1
6
(pow (pow (* -2 (log u1)) 1/4) 2)
(pow (* -2 (log u1)) 1/4)
(* -2 (log u1))
-2
(log u1)
u1
1/4
2
1/2
(/ 1 (/ (+ (* 1/6 (sqrt (* (log u1) -2))) -1/2) (+ (* 1/36 (* (log u1) -2)) -1/4)))
1
(/ (+ (* 1/6 (sqrt (* (log u1) -2))) -1/2) (+ (* 1/36 (* (log u1) -2)) -1/4))
(+ (* 1/6 (sqrt (* (log u1) -2))) -1/2)
(* 1/6 (sqrt (* (log u1) -2)))
1/6
(sqrt (* (log u1) -2))
(* (log u1) -2)
(log u1)
u1
-2
-1/2
(+ (* 1/36 (* (log u1) -2)) -1/4)
(* 1/36 (* (log u1) -2))
1/36
-1/4
(+ (* (pow (* (log u1) -2) 1/4) (* 1/6 (pow (* (log u1) -2) 1/4))) 1/2)
(pow (* (log u1) -2) 1/4)
(* (log u1) -2)
(log u1)
u1
-2
1/4
(* 1/6 (pow (* (log u1) -2) 1/4))
1/6
1/2
Outputs
(- (* 1/6 (* (cos (* 2 (* (PI) u2))) (sqrt (* (log u1) -2)))) -1/2)
(+.f64 (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))) (*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))))) #s(literal 1/2 binary64))
(* 1/6 (* (cos (* 2 (* (PI) u2))) (sqrt (* (log u1) -2))))
(*.f64 (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))) (*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))))
1/6
#s(literal 1/6 binary64)
(* (cos (* 2 (* (PI) u2))) (sqrt (* (log u1) -2)))
(*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))) (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -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
#s(literal 2 binary64)
(* (PI) u2)
(*.f64 (PI.f64) u2)
(PI)
(PI.f64)
u2
(sqrt (* (log u1) -2))
(sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)))
(* (log u1) -2)
(*.f64 (log.f64 u1) #s(literal -2 binary64))
(log u1)
(log.f64 u1)
u1
-2
#s(literal -2 binary64)
-1/2
#s(literal -1/2 binary64)
(+ (* (sqrt (* (log u1) -2)) 1/6) 1/2)
(+.f64 (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)))) #s(literal 1/2 binary64))
(* (sqrt (* (log u1) -2)) 1/6)
(*.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))))
(sqrt (* (log u1) -2))
(sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)))
(* (log u1) -2)
(*.f64 (log.f64 u1) #s(literal -2 binary64))
(log u1)
(log.f64 u1)
u1
-2
#s(literal -2 binary64)
1/6
#s(literal 1/6 binary64)
1/2
#s(literal 1/2 binary64)
(+ (* (* (/ 1 6) (pow (pow (* -2 (log u1)) 1/4) 2)) 1) 1/2)
(+.f64 (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)))) #s(literal 1/2 binary64))
(* (* (/ 1 6) (pow (pow (* -2 (log u1)) 1/4) 2)) 1)
(*.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))))
(* (/ 1 6) (pow (pow (* -2 (log u1)) 1/4) 2))
(*.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))))
(/ 1 6)
#s(literal 1/6 binary64)
1
#s(literal 1 binary64)
6
#s(literal 6 binary64)
(pow (pow (* -2 (log u1)) 1/4) 2)
(sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)))
(pow (* -2 (log u1)) 1/4)
(pow.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)) #s(literal 1/4 binary64))
(* -2 (log u1))
(*.f64 (log.f64 u1) #s(literal -2 binary64))
-2
#s(literal -2 binary64)
(log u1)
(log.f64 u1)
u1
1/4
#s(literal 1/4 binary64)
2
#s(literal 2 binary64)
1/2
#s(literal 1/2 binary64)
(/ 1 (/ (+ (* 1/6 (sqrt (* (log u1) -2))) -1/2) (+ (* 1/36 (* (log u1) -2)) -1/4)))
(/.f64 (+.f64 (*.f64 (log.f64 u1) #s(literal -1/18 binary64)) #s(literal -1/4 binary64)) (+.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))))))
1
#s(literal 1 binary64)
(/ (+ (* 1/6 (sqrt (* (log u1) -2))) -1/2) (+ (* 1/36 (* (log u1) -2)) -1/4))
(/.f64 (+.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))))) (+.f64 (*.f64 (log.f64 u1) #s(literal -1/18 binary64)) #s(literal -1/4 binary64)))
(+ (* 1/6 (sqrt (* (log u1) -2))) -1/2)
(+.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)))))
(* 1/6 (sqrt (* (log u1) -2)))
(*.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))))
1/6
#s(literal 1/6 binary64)
(sqrt (* (log u1) -2))
(sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)))
(* (log u1) -2)
(*.f64 (log.f64 u1) #s(literal -2 binary64))
(log u1)
(log.f64 u1)
u1
-2
#s(literal -2 binary64)
-1/2
#s(literal -1/2 binary64)
(+ (* 1/36 (* (log u1) -2)) -1/4)
(+.f64 (*.f64 (log.f64 u1) #s(literal -1/18 binary64)) #s(literal -1/4 binary64))
(* 1/36 (* (log u1) -2))
(*.f64 (log.f64 u1) #s(literal -1/18 binary64))
1/36
#s(literal 1/36 binary64)
-1/4
#s(literal -1/4 binary64)
(+ (* (pow (* (log u1) -2) 1/4) (* 1/6 (pow (* (log u1) -2) 1/4))) 1/2)
(+.f64 (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)))) #s(literal 1/2 binary64))
(pow (* (log u1) -2) 1/4)
(pow.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)) #s(literal 1/4 binary64))
(* (log u1) -2)
(*.f64 (log.f64 u1) #s(literal -2 binary64))
(log u1)
(log.f64 u1)
u1
-2
#s(literal -2 binary64)
1/4
#s(literal 1/4 binary64)
(* 1/6 (pow (* (log u1) -2) 1/4))
(*.f64 #s(literal 1/6 binary64) (pow.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)) #s(literal 1/4 binary64)))
1/6
#s(literal 1/6 binary64)
1/2
#s(literal 1/2 binary64)

localize166.0ms (1.3%)

Memory
6.9MiB live, 355.0MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(log.f64 u1)
✓accuracy99.9%
(pow.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)) #s(literal 1/4 binary64))
✓accuracy99.5%
(fma.f64 (pow.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)) #s(literal 1/4 binary64)) (*.f64 #s(literal 1/6 binary64) (pow.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)) #s(literal 1/4 binary64))) #s(literal 1/2 binary64))
✓accuracy99.5%
(*.f64 #s(literal 1/6 binary64) (pow.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)) #s(literal 1/4 binary64)))
✓accuracy99.6%
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)))) #s(literal -1/2 binary64)) (+.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal -1/4 binary64))))
✓accuracy99.5%
(/.f64 (+.f64 (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)))) #s(literal -1/2 binary64)) (+.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal -1/4 binary64)))
✓accuracy99.4%
(*.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))))
✓accuracy99.4%
(*.f64 #s(literal 1/36 binary64) (*.f64 (log.f64 u1) #s(literal -2 binary64)))
✓accuracy99.9%
(+.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))) #s(literal 1 binary64)) #s(literal 1/2 binary64))
✓accuracy99.9%
(pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/4 binary64))
✓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 1/4 binary64)) #s(literal 2 binary64)))
✓accuracy99.2%
(pow.f64 (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/4 binary64)) #s(literal 2 binary64))
✓accuracy100.0%
(log.f64 u1)
✓accuracy99.9%
(+.f64 (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal 1/6 binary64)) #s(literal 1/2 binary64))
✓accuracy99.8%
(sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)))
✓accuracy99.4%
(*.f64 (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal 1/6 binary64))
✓accuracy99.9%
(-.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))) (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))))) #s(literal -1/2 binary64))
✓accuracy99.8%
(sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)))
✓accuracy99.6%
(*.f64 (PI.f64) u2)
✓accuracy99.4%
(*.f64 #s(literal 1/6 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))) (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)))))
Samples
96.0ms256×0valid
Compiler

Compiled 306 to 43 computations (85.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 61.0ms
ival-mult: 19.0ms (31.2% of total)
const: 9.0ms (14.8% of total)
ival-pow: 9.0ms (14.8% of total)
ival-add: 6.0ms (9.9% of total)
ival-div: 5.0ms (8.2% of total)
ival-log: 3.0ms (4.9% of total)
ival-pow2: 3.0ms (4.9% of total)
ival-cos: 2.0ms (3.3% of total)
ival-sqrt: 2.0ms (3.3% of total)
ival-pi: 1.0ms (1.6% of total)
ival-sub: 1.0ms (1.6% of total)
exact: 1.0ms (1.6% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series86.0ms (0.7%)

Memory
-21.8MiB live, 158.2MiB allocated
Counts
24 → 312
Calls
Call 1
Inputs
#<alt (- (* 1/6 (* (cos (* 2 (* (PI) u2))) (sqrt (* (log u1) -2)))) -1/2)>
#<alt (* 1/6 (* (cos (* 2 (* (PI) u2))) (sqrt (* (log u1) -2))))>
#<alt (* (cos (* 2 (* (PI) u2))) (sqrt (* (log u1) -2)))>
#<alt (cos (* 2 (* (PI) u2)))>
#<alt (+ (* (sqrt (* (log u1) -2)) 1/6) 1/2)>
#<alt (* (sqrt (* (log u1) -2)) 1/6)>
#<alt (sqrt (* (log u1) -2))>
#<alt (* (log u1) -2)>
#<alt (pow (pow (* -2 (log u1)) 1/4) 2)>
#<alt (* (* (/ 1 6) (pow (pow (* -2 (log u1)) 1/4) 2)) 1)>
#<alt (/ 1 6)>
#<alt (+ (* (* (/ 1 6) (pow (pow (* -2 (log u1)) 1/4) 2)) 1) 1/2)>
#<alt (/ 1 (/ (+ (* 1/6 (sqrt (* (log u1) -2))) -1/2) (+ (* 1/36 (* (log u1) -2)) -1/4)))>
#<alt (* 1/36 (* (log u1) -2))>
#<alt (/ (+ (* 1/6 (sqrt (* (log u1) -2))) -1/2) (+ (* 1/36 (* (log u1) -2)) -1/4))>
#<alt (+ (* 1/6 (sqrt (* (log u1) -2))) -1/2)>
#<alt (+ (* (pow (* (log u1) -2) 1/4) (* 1/6 (pow (* (log u1) -2) 1/4))) 1/2)>
#<alt (pow (* (log u1) -2) 1/4)>
#<alt (log u1)>
#<alt (* (PI) u2)>
#<alt (* (/ 1 6) (pow (pow (* -2 (log u1)) 1/4) 2))>
#<alt (pow (* -2 (log u1)) 1/4)>
#<alt (* 1/6 (sqrt (* (log u1) -2)))>
#<alt (* 1/6 (pow (* (log u1) -2) 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 (* (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 (* (* (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 (* (sqrt (log u1)) (sqrt -2))>
#<alt (+ (* -2 (* (* (pow u2 2) (* (pow (PI) 2) (sqrt -2))) (sqrt (log u1)))) (* (sqrt (log u1)) (sqrt -2)))>
#<alt (+ (* (sqrt (log u1)) (sqrt -2)) (* (pow u2 2) (+ (* -2 (* (* (pow (PI) 2) (sqrt -2)) (sqrt (log u1)))) (* 2/3 (* (* (pow u2 2) (* (pow (PI) 4) (sqrt -2))) (sqrt (log u1)))))))>
#<alt (+ (* (sqrt (log u1)) (sqrt -2)) (* (pow u2 2) (+ (* -2 (* (* (pow (PI) 2) (sqrt -2)) (sqrt (log u1)))) (* (pow u2 2) (+ (* -4/45 (* (* (pow u2 2) (* (pow (PI) 6) (sqrt -2))) (sqrt (log u1)))) (* 2/3 (* (* (pow (PI) 4) (sqrt -2)) (sqrt (log u1)))))))))>
#<alt (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))>
#<alt (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))>
#<alt (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))>
#<alt (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))>
#<alt (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))>
#<alt (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))>
#<alt (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))>
#<alt (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))>
#<alt (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))>
#<alt (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))>
#<alt (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))>
#<alt (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))>
#<alt (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -2) (sqrt -1))) (sqrt (log (/ 1 u1))))>
#<alt (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -2) (sqrt -1))) (sqrt (log (/ 1 u1))))>
#<alt (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -2) (sqrt -1))) (sqrt (log (/ 1 u1))))>
#<alt (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -2) (sqrt -1))) (sqrt (log (/ 1 u1))))>
#<alt (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))>
#<alt (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))>
#<alt (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))>
#<alt (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))>
#<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 (+ 1/2 (* 1/6 (* (sqrt (log u1)) (sqrt -2))))>
#<alt (+ 1/2 (* 1/6 (* (sqrt (log u1)) (sqrt -2))))>
#<alt (+ 1/2 (* 1/6 (* (sqrt (log u1)) (sqrt -2))))>
#<alt (+ 1/2 (* 1/6 (* (sqrt (log u1)) (sqrt -2))))>
#<alt (+ 1/2 (* 1/6 (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1)))))>
#<alt (+ 1/2 (* 1/6 (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1)))))>
#<alt (+ 1/2 (* 1/6 (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1)))))>
#<alt (+ 1/2 (* 1/6 (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1)))))>
#<alt (+ 1/2 (* 1/6 (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))))>
#<alt (+ 1/2 (* 1/6 (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))))>
#<alt (+ 1/2 (* 1/6 (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))))>
#<alt (+ 1/2 (* 1/6 (* (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)))>
#<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 (* (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 (* 1/6 (* (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 (+ 1/2 (* 1/6 (* (sqrt (log u1)) (sqrt -2))))>
#<alt (+ 1/2 (* 1/6 (* (sqrt (log u1)) (sqrt -2))))>
#<alt (+ 1/2 (* 1/6 (* (sqrt (log u1)) (sqrt -2))))>
#<alt (+ 1/2 (* 1/6 (* (sqrt (log u1)) (sqrt -2))))>
#<alt (+ 1/2 (* 1/6 (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1)))))>
#<alt (+ 1/2 (* 1/6 (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1)))))>
#<alt (+ 1/2 (* 1/6 (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1)))))>
#<alt (+ 1/2 (* 1/6 (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1)))))>
#<alt (+ 1/2 (* 1/6 (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))))>
#<alt (+ 1/2 (* 1/6 (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))))>
#<alt (+ 1/2 (* 1/6 (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))))>
#<alt (+ 1/2 (* 1/6 (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))))>
#<alt (/ (- (* -1/18 (log u1)) 1/4) (- (* 1/6 (* (sqrt (log u1)) (sqrt -2))) 1/2))>
#<alt (/ (- (* -1/18 (log u1)) 1/4) (- (* 1/6 (* (sqrt (log u1)) (sqrt -2))) 1/2))>
#<alt (/ (- (* -1/18 (log u1)) 1/4) (- (* 1/6 (* (sqrt (log u1)) (sqrt -2))) 1/2))>
#<alt (/ (- (* -1/18 (log u1)) 1/4) (- (* 1/6 (* (sqrt (log u1)) (sqrt -2))) 1/2))>
#<alt (/ (- (* 1/18 (log (/ 1 u1))) 1/4) (- (* 1/6 (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1)))) 1/2))>
#<alt (/ (- (* 1/18 (log (/ 1 u1))) 1/4) (- (* 1/6 (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1)))) 1/2))>
#<alt (/ (- (* 1/18 (log (/ 1 u1))) 1/4) (- (* 1/6 (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1)))) 1/2))>
#<alt (/ (- (* 1/18 (log (/ 1 u1))) 1/4) (- (* 1/6 (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1)))) 1/2))>
#<alt (/ (- (* -1/18 (+ (log -1) (* -1 (log (/ -1 u1))))) 1/4) (- (* 1/6 (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))) 1/2))>
#<alt (/ (- (* -1/18 (+ (log -1) (* -1 (log (/ -1 u1))))) 1/4) (- (* 1/6 (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))) 1/2))>
#<alt (/ (- (* -1/18 (+ (log -1) (* -1 (log (/ -1 u1))))) 1/4) (- (* 1/6 (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))) 1/2))>
#<alt (/ (- (* -1/18 (+ (log -1) (* -1 (log (/ -1 u1))))) 1/4) (- (* 1/6 (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))) 1/2))>
#<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))) 1/2) (- (* -1/18 (log u1)) 1/4))>
#<alt (/ (- (* 1/6 (* (sqrt (log u1)) (sqrt -2))) 1/2) (- (* -1/18 (log u1)) 1/4))>
#<alt (/ (- (* 1/6 (* (sqrt (log u1)) (sqrt -2))) 1/2) (- (* -1/18 (log u1)) 1/4))>
#<alt (/ (- (* 1/6 (* (sqrt (log u1)) (sqrt -2))) 1/2) (- (* -1/18 (log u1)) 1/4))>
#<alt (/ (- (* 1/6 (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1)))) 1/2) (- (* 1/18 (log (/ 1 u1))) 1/4))>
#<alt (/ (- (* 1/6 (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1)))) 1/2) (- (* 1/18 (log (/ 1 u1))) 1/4))>
#<alt (/ (- (* 1/6 (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1)))) 1/2) (- (* 1/18 (log (/ 1 u1))) 1/4))>
#<alt (/ (- (* 1/6 (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1)))) 1/2) (- (* 1/18 (log (/ 1 u1))) 1/4))>
#<alt (/ (- (* 1/6 (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))) 1/2) (- (* -1/18 (+ (log -1) (* -1 (log (/ -1 u1))))) 1/4))>
#<alt (/ (- (* 1/6 (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))) 1/2) (- (* -1/18 (+ (log -1) (* -1 (log (/ -1 u1))))) 1/4))>
#<alt (/ (- (* 1/6 (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))) 1/2) (- (* -1/18 (+ (log -1) (* -1 (log (/ -1 u1))))) 1/4))>
#<alt (/ (- (* 1/6 (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))) 1/2) (- (* -1/18 (+ (log -1) (* -1 (log (/ -1 u1))))) 1/4))>
#<alt (- (* 1/6 (* (sqrt (log u1)) (sqrt -2))) 1/2)>
#<alt (- (* 1/6 (* (sqrt (log u1)) (sqrt -2))) 1/2)>
#<alt (- (* 1/6 (* (sqrt (log u1)) (sqrt -2))) 1/2)>
#<alt (- (* 1/6 (* (sqrt (log u1)) (sqrt -2))) 1/2)>
#<alt (- (* 1/6 (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1)))) 1/2)>
#<alt (- (* 1/6 (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1)))) 1/2)>
#<alt (- (* 1/6 (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1)))) 1/2)>
#<alt (- (* 1/6 (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1)))) 1/2)>
#<alt (- (* 1/6 (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))) 1/2)>
#<alt (- (* 1/6 (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))) 1/2)>
#<alt (- (* 1/6 (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))) 1/2)>
#<alt (- (* 1/6 (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))) 1/2)>
#<alt (+ 1/2 (* 1/6 (* (sqrt (log u1)) (sqrt -2))))>
#<alt (+ 1/2 (* 1/6 (* (sqrt (log u1)) (sqrt -2))))>
#<alt (+ 1/2 (* 1/6 (* (sqrt (log u1)) (sqrt -2))))>
#<alt (+ 1/2 (* 1/6 (* (sqrt (log u1)) (sqrt -2))))>
#<alt (+ 1/2 (* 1/6 (* (sqrt (log (/ 1 u1))) (sqrt 2))))>
#<alt (+ 1/2 (* 1/6 (* (sqrt (log (/ 1 u1))) (sqrt 2))))>
#<alt (+ 1/2 (* 1/6 (* (sqrt (log (/ 1 u1))) (sqrt 2))))>
#<alt (+ 1/2 (* 1/6 (* (sqrt (log (/ 1 u1))) (sqrt 2))))>
#<alt (+ 1/2 (* 1/6 (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))))>
#<alt (+ 1/2 (* 1/6 (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))))>
#<alt (+ 1/2 (* 1/6 (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))))>
#<alt (+ 1/2 (* 1/6 (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))))>
#<alt (pow (* -2 (log u1)) 1/4)>
#<alt (pow (* -2 (log u1)) 1/4)>
#<alt (pow (* -2 (log u1)) 1/4)>
#<alt (pow (* -2 (log u1)) 1/4)>
#<alt (pow (* 2 (log (/ 1 u1))) 1/4)>
#<alt (pow (* 2 (log (/ 1 u1))) 1/4)>
#<alt (pow (* 2 (log (/ 1 u1))) 1/4)>
#<alt (pow (* 2 (log (/ 1 u1))) 1/4)>
#<alt (pow (* -2 (+ (log -1) (* -1 (log (/ -1 u1))))) 1/4)>
#<alt (pow (* -2 (+ (log -1) (* -1 (log (/ -1 u1))))) 1/4)>
#<alt (pow (* -2 (+ (log -1) (* -1 (log (/ -1 u1))))) 1/4)>
#<alt (pow (* -2 (+ (log -1) (* -1 (log (/ -1 u1))))) 1/4)>
#<alt (log u1)>
#<alt (log u1)>
#<alt (log u1)>
#<alt (log u1)>
#<alt (* -1 (log (/ 1 u1)))>
#<alt (* -1 (log (/ 1 u1)))>
#<alt (* -1 (log (/ 1 u1)))>
#<alt (* -1 (log (/ 1 u1)))>
#<alt (+ (log -1) (* -1 (log (/ -1 u1))))>
#<alt (+ (log -1) (* -1 (log (/ -1 u1))))>
#<alt (+ (log -1) (* -1 (log (/ -1 u1))))>
#<alt (+ (log -1) (* -1 (log (/ -1 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 (* 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 (pow (* -2 (log u1)) 1/4)>
#<alt (pow (* -2 (log u1)) 1/4)>
#<alt (pow (* -2 (log u1)) 1/4)>
#<alt (pow (* -2 (log u1)) 1/4)>
#<alt (pow (* 2 (log (/ 1 u1))) 1/4)>
#<alt (pow (* 2 (log (/ 1 u1))) 1/4)>
#<alt (pow (* 2 (log (/ 1 u1))) 1/4)>
#<alt (pow (* 2 (log (/ 1 u1))) 1/4)>
#<alt (pow (* -2 (+ (log -1) (* -1 (log (/ -1 u1))))) 1/4)>
#<alt (pow (* -2 (+ (log -1) (* -1 (log (/ -1 u1))))) 1/4)>
#<alt (pow (* -2 (+ (log -1) (* -1 (log (/ -1 u1))))) 1/4)>
#<alt (pow (* -2 (+ (log -1) (* -1 (log (/ -1 u1))))) 1/4)>
#<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 (* 1/6 (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

78 calls:

TimeVariablePointExpression
21.0ms
u1
@0
(/ (+ (* 1/6 (sqrt (* (log u1) -2))) -1/2) (+ (* 1/36 (* (log u1) -2)) -1/4))
19.0ms
u1
@inf
(pow (* (log u1) -2) 1/4)
18.0ms
u1
@-inf
(pow (* (log u1) -2) 1/4)
15.0ms
u1
@0
(pow (* (log u1) -2) 1/4)
1.0ms
u1
@-inf
(/ 1 (/ (+ (* 1/6 (sqrt (* (log u1) -2))) -1/2) (+ (* 1/36 (* (log u1) -2)) -1/4)))

rewrite582.0ms (4.5%)

Memory
23.1MiB live, 882.3MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
6 154×accelerator-lowering-fma.f32
6 154×accelerator-lowering-fma.f64
4 484×*-lowering-*.f32
4 484×*-lowering-*.f64
3 166×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
041185
1221181
21237176
08914169
Stop Event
1×iter limit
1×node limit
Counts
24 → 1 642
Calls
Call 1
Inputs
(- (* 1/6 (* (cos (* 2 (* (PI) u2))) (sqrt (* (log u1) -2)))) -1/2)
(* 1/6 (* (cos (* 2 (* (PI) u2))) (sqrt (* (log u1) -2))))
(* (cos (* 2 (* (PI) u2))) (sqrt (* (log u1) -2)))
(cos (* 2 (* (PI) u2)))
(+ (* (sqrt (* (log u1) -2)) 1/6) 1/2)
(* (sqrt (* (log u1) -2)) 1/6)
(sqrt (* (log u1) -2))
(* (log u1) -2)
(pow (pow (* -2 (log u1)) 1/4) 2)
(* (* (/ 1 6) (pow (pow (* -2 (log u1)) 1/4) 2)) 1)
(/ 1 6)
(+ (* (* (/ 1 6) (pow (pow (* -2 (log u1)) 1/4) 2)) 1) 1/2)
(/ 1 (/ (+ (* 1/6 (sqrt (* (log u1) -2))) -1/2) (+ (* 1/36 (* (log u1) -2)) -1/4)))
(* 1/36 (* (log u1) -2))
(/ (+ (* 1/6 (sqrt (* (log u1) -2))) -1/2) (+ (* 1/36 (* (log u1) -2)) -1/4))
(+ (* 1/6 (sqrt (* (log u1) -2))) -1/2)
(+ (* (pow (* (log u1) -2) 1/4) (* 1/6 (pow (* (log u1) -2) 1/4))) 1/2)
(pow (* (log u1) -2) 1/4)
(log u1)
(* (PI) u2)
(* (/ 1 6) (pow (pow (* -2 (log u1)) 1/4) 2))
(pow (* -2 (log u1)) 1/4)
(* 1/6 (sqrt (* (log u1) -2)))
(* 1/6 (pow (* (log u1) -2) 1/4))
Outputs
(+.f64 (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))))) #s(literal 1/2 binary64))
(+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))))))
(+.f64 (/.f64 (*.f64 (pow.f64 (*.f64 (log.f64 u1) #s(literal -1/18 binary64)) #s(literal 3/2 binary64)) (pow.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))) #s(literal 3 binary64))) (+.f64 #s(literal 1/4 binary64) (+.f64 (*.f64 (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))) (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)))) #s(literal -1/12 binary64)) (*.f64 (*.f64 (log.f64 u1) #s(literal -1/18 binary64)) (pow.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))) #s(literal 2 binary64)))))) (neg.f64 (/.f64 #s(literal -1/8 binary64) (+.f64 #s(literal 1/4 binary64) (+.f64 (*.f64 (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))) (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)))) #s(literal -1/12 binary64)) (*.f64 (*.f64 (log.f64 u1) #s(literal -1/18 binary64)) (pow.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))) #s(literal 2 binary64))))))))
(+.f64 (/.f64 (*.f64 (*.f64 (log.f64 u1) #s(literal -1/18 binary64)) (pow.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))) #s(literal 2 binary64))) (+.f64 (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))))) #s(literal -1/2 binary64))) (neg.f64 (/.f64 #s(literal 1/4 binary64) (+.f64 (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))))) #s(literal -1/2 binary64)))))
(-.f64 (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))))) #s(literal -1/2 binary64))
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(*.f64 (pow.f64 (log.f64 u1) #s(literal 1/4 binary64)) (pow.f64 #s(literal -2 binary64) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 #s(literal -2 binary64) #s(literal 1/4 binary64)) (pow.f64 (log.f64 u1) #s(literal 1/4 binary64)))
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(log.f64 u1)
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(*.f64 #s(literal 1 binary64) (*.f64 (PI.f64) u2))
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(*.f64 (*.f64 u2 (pow.f64 (PI.f64) #s(literal 2/3 binary64))) (cbrt.f64 (PI.f64)))
(*.f64 (*.f64 u2 (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)))
(*.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))))
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(*.f64 (sqrt.f64 (log.f64 u1)) (*.f64 (sqrt.f64 #s(literal -2 binary64)) #s(literal 1/6 binary64)))
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(exp.f64 (*.f64 #s(literal 1/4 binary64) (log.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)))))
(exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)) #s(literal 2 binary64))) #s(literal 1/8 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal 1/8 binary64)) #s(literal 2 binary64)))
(pow.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)) #s(literal 1/4 binary64))
(pow.f64 (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)) #s(literal 1/4 binary64)) #s(literal 1 binary64))
(pow.f64 (pow.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)) #s(literal 1/8 binary64)) #s(literal 2 binary64))
(pow.f64 (pow.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)) #s(literal 2 binary64)) #s(literal 1/8 binary64))
(pow.f64 (exp.f64 #s(literal 1/4 binary64)) (log.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))))
(*.f64 (pow.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)) #s(literal 1/4 binary64)) #s(literal 1 binary64))
(*.f64 (pow.f64 (log.f64 u1) #s(literal 1/4 binary64)) (pow.f64 #s(literal -2 binary64) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 #s(literal -2 binary64) #s(literal 1/4 binary64)) (pow.f64 (log.f64 u1) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)) #s(literal 1/8 binary64)) (pow.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)) #s(literal 1/8 binary64)))
(*.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))))
(*.f64 (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal 1/6 binary64))
(*.f64 (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)))))
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(*.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 (log.f64 u1) #s(literal -2 binary64)) #s(literal 1/4 binary64)))))
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(*.f64 (sqrt.f64 (log.f64 u1)) (*.f64 (sqrt.f64 #s(literal -2 binary64)) #s(literal 1/6 binary64)))
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(*.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)) #s(literal 1/4 binary64))) (pow.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)) #s(literal 1/8 binary64))) (pow.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)) #s(literal 1/8 binary64)))
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(*.f64 (pow.f64 (log.f64 u1) #s(literal 1/4 binary64)) (*.f64 (pow.f64 #s(literal -2 binary64) #s(literal 1/4 binary64)) #s(literal 1/6 binary64)))
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(*.f64 (pow.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)) #s(literal 1/8 binary64)) (*.f64 (pow.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)) #s(literal 1/8 binary64)) #s(literal 1/6 binary64)))
(*.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 (log.f64 u1) #s(literal 1/4 binary64))) (pow.f64 #s(literal -2 binary64) #s(literal 1/4 binary64)))
(*.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 1/4 binary64)))
(*.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)) #s(literal 1/8 binary64))) (pow.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)) #s(literal 1/8 binary64)))

simplify454.0ms (3.5%)

Memory
52.0MiB live, 883.2MiB allocated
Algorithm
1×egg-herbie
Rules
10 710×accelerator-lowering-fma.f32
10 710×accelerator-lowering-fma.f64
4 998×*-lowering-*.f32
4 998×*-lowering-*.f64
2 678×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01484002
14033882
212533834
320003810
428893810
541513810
653193810
775193810
080273666
Stop Event
1×iter limit
1×node limit
Counts
312 → 312
Calls
Call 1
Inputs
(+ 1/2 (* 1/6 (* (sqrt (log u1)) (sqrt -2))))
(+ 1/2 (+ (* -1/3 (* (* (pow u2 2) (* (pow (PI) 2) (sqrt -2))) (sqrt (log u1)))) (* 1/6 (* (sqrt (log u1)) (sqrt -2)))))
(+ 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))))))))
(+ 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))))))))))
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))))
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))))
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))))
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))))
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))))
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))))
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(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))))
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))))
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))))
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(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -2) (sqrt -1))) (sqrt (log (/ 1 u1))))))
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -2) (sqrt -1))) (sqrt (log (/ 1 u1))))))
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -2) (sqrt -1))) (sqrt (log (/ 1 u1))))))
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))))
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(* 1/6 (* (sqrt (log u1)) (sqrt -2)))
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(+ (* 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)))))))
(+ (* 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)))))))))
(* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1))))
(* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1))))
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(* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))))
(* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))))
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(* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))))
(* (sqrt (log u1)) (sqrt -2))
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(* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))
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(* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))
(* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))
1
(+ 1 (* -2 (* (pow u2 2) (pow (PI) 2))))
(+ 1 (* (pow u2 2) (+ (* -2 (pow (PI) 2)) (* 2/3 (* (pow u2 2) (pow (PI) 4))))))
(+ 1 (* (pow u2 2) (+ (* -2 (pow (PI) 2)) (* (pow u2 2) (+ (* -4/45 (* (pow u2 2) (pow (PI) 6))) (* 2/3 (pow (PI) 4)))))))
(cos (* 2 (* u2 (PI))))
(cos (* 2 (* u2 (PI))))
(cos (* 2 (* u2 (PI))))
(cos (* 2 (* u2 (PI))))
(cos (* 2 (* u2 (PI))))
(cos (* 2 (* u2 (PI))))
(cos (* 2 (* u2 (PI))))
(cos (* 2 (* u2 (PI))))
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(* 1/6 (* (sqrt (log u1)) (sqrt -2)))
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(* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))
(* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))
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(* (sqrt (log u1)) (sqrt -2))
(* (sqrt (log u1)) (sqrt -2))
(* (sqrt (log u1)) (sqrt -2))
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(* 1/6 (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))))
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(+ 1/2 (* 1/6 (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1)))))
(+ 1/2 (* 1/6 (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))))
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(+ 1/2 (* 1/6 (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))))
(/ (- (* -1/18 (log u1)) 1/4) (- (* 1/6 (* (sqrt (log u1)) (sqrt -2))) 1/2))
(/ (- (* -1/18 (log u1)) 1/4) (- (* 1/6 (* (sqrt (log u1)) (sqrt -2))) 1/2))
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(/ (- (* -1/18 (log u1)) 1/4) (- (* 1/6 (* (sqrt (log u1)) (sqrt -2))) 1/2))
(/ (- (* 1/18 (log (/ 1 u1))) 1/4) (- (* 1/6 (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1)))) 1/2))
(/ (- (* 1/18 (log (/ 1 u1))) 1/4) (- (* 1/6 (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1)))) 1/2))
(/ (- (* 1/18 (log (/ 1 u1))) 1/4) (- (* 1/6 (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1)))) 1/2))
(/ (- (* 1/18 (log (/ 1 u1))) 1/4) (- (* 1/6 (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1)))) 1/2))
(/ (- (* -1/18 (+ (log -1) (* -1 (log (/ -1 u1))))) 1/4) (- (* 1/6 (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))) 1/2))
(/ (- (* -1/18 (+ (log -1) (* -1 (log (/ -1 u1))))) 1/4) (- (* 1/6 (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))) 1/2))
(/ (- (* -1/18 (+ (log -1) (* -1 (log (/ -1 u1))))) 1/4) (- (* 1/6 (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))) 1/2))
(/ (- (* -1/18 (+ (log -1) (* -1 (log (/ -1 u1))))) 1/4) (- (* 1/6 (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))) 1/2))
(* -1/18 (log u1))
(* -1/18 (log u1))
(* -1/18 (log u1))
(* -1/18 (log u1))
(* 1/18 (log (/ 1 u1)))
(* 1/18 (log (/ 1 u1)))
(* 1/18 (log (/ 1 u1)))
(* 1/18 (log (/ 1 u1)))
(* -1/18 (+ (log -1) (* -1 (log (/ -1 u1)))))
(* -1/18 (+ (log -1) (* -1 (log (/ -1 u1)))))
(* -1/18 (+ (log -1) (* -1 (log (/ -1 u1)))))
(* -1/18 (+ (log -1) (* -1 (log (/ -1 u1)))))
(/ (- (* 1/6 (* (sqrt (log u1)) (sqrt -2))) 1/2) (- (* -1/18 (log u1)) 1/4))
(/ (- (* 1/6 (* (sqrt (log u1)) (sqrt -2))) 1/2) (- (* -1/18 (log u1)) 1/4))
(/ (- (* 1/6 (* (sqrt (log u1)) (sqrt -2))) 1/2) (- (* -1/18 (log u1)) 1/4))
(/ (- (* 1/6 (* (sqrt (log u1)) (sqrt -2))) 1/2) (- (* -1/18 (log u1)) 1/4))
(/ (- (* 1/6 (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1)))) 1/2) (- (* 1/18 (log (/ 1 u1))) 1/4))
(/ (- (* 1/6 (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1)))) 1/2) (- (* 1/18 (log (/ 1 u1))) 1/4))
(/ (- (* 1/6 (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1)))) 1/2) (- (* 1/18 (log (/ 1 u1))) 1/4))
(/ (- (* 1/6 (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1)))) 1/2) (- (* 1/18 (log (/ 1 u1))) 1/4))
(/ (- (* 1/6 (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))) 1/2) (- (* -1/18 (+ (log -1) (* -1 (log (/ -1 u1))))) 1/4))
(/ (- (* 1/6 (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))) 1/2) (- (* -1/18 (+ (log -1) (* -1 (log (/ -1 u1))))) 1/4))
(/ (- (* 1/6 (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))) 1/2) (- (* -1/18 (+ (log -1) (* -1 (log (/ -1 u1))))) 1/4))
(/ (- (* 1/6 (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))) 1/2) (- (* -1/18 (+ (log -1) (* -1 (log (/ -1 u1))))) 1/4))
(- (* 1/6 (* (sqrt (log u1)) (sqrt -2))) 1/2)
(- (* 1/6 (* (sqrt (log u1)) (sqrt -2))) 1/2)
(- (* 1/6 (* (sqrt (log u1)) (sqrt -2))) 1/2)
(- (* 1/6 (* (sqrt (log u1)) (sqrt -2))) 1/2)
(- (* 1/6 (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1)))) 1/2)
(- (* 1/6 (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1)))) 1/2)
(- (* 1/6 (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1)))) 1/2)
(- (* 1/6 (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1)))) 1/2)
(- (* 1/6 (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))) 1/2)
(- (* 1/6 (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))) 1/2)
(- (* 1/6 (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))) 1/2)
(- (* 1/6 (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))) 1/2)
(+ 1/2 (* 1/6 (* (sqrt (log u1)) (sqrt -2))))
(+ 1/2 (* 1/6 (* (sqrt (log u1)) (sqrt -2))))
(+ 1/2 (* 1/6 (* (sqrt (log u1)) (sqrt -2))))
(+ 1/2 (* 1/6 (* (sqrt (log u1)) (sqrt -2))))
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(+ 1/2 (* 1/6 (* (sqrt (log (/ 1 u1))) (sqrt 2))))
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(+ 1/2 (* 1/6 (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))))
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(+ 1/2 (* 1/6 (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))))
(+ 1/2 (* 1/6 (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))))
(pow (* -2 (log u1)) 1/4)
(pow (* -2 (log u1)) 1/4)
(pow (* -2 (log u1)) 1/4)
(pow (* -2 (log u1)) 1/4)
(pow (* 2 (log (/ 1 u1))) 1/4)
(pow (* 2 (log (/ 1 u1))) 1/4)
(pow (* 2 (log (/ 1 u1))) 1/4)
(pow (* 2 (log (/ 1 u1))) 1/4)
(pow (* -2 (+ (log -1) (* -1 (log (/ -1 u1))))) 1/4)
(pow (* -2 (+ (log -1) (* -1 (log (/ -1 u1))))) 1/4)
(pow (* -2 (+ (log -1) (* -1 (log (/ -1 u1))))) 1/4)
(pow (* -2 (+ (log -1) (* -1 (log (/ -1 u1))))) 1/4)
(log u1)
(log u1)
(log u1)
(log u1)
(* -1 (log (/ 1 u1)))
(* -1 (log (/ 1 u1)))
(* -1 (log (/ 1 u1)))
(* -1 (log (/ 1 u1)))
(+ (log -1) (* -1 (log (/ -1 u1))))
(+ (log -1) (* -1 (log (/ -1 u1))))
(+ (log -1) (* -1 (log (/ -1 u1))))
(+ (log -1) (* -1 (log (/ -1 u1))))
(* u2 (PI))
(* u2 (PI))
(* u2 (PI))
(* u2 (PI))
(* u2 (PI))
(* u2 (PI))
(* u2 (PI))
(* u2 (PI))
(* u2 (PI))
(* u2 (PI))
(* u2 (PI))
(* u2 (PI))
(* 1/6 (* (sqrt (log u1)) (sqrt -2)))
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(* 1/6 (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1))))
(* 1/6 (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))))
(* 1/6 (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))))
(* 1/6 (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))))
(* 1/6 (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))))
(pow (* -2 (log u1)) 1/4)
(pow (* -2 (log u1)) 1/4)
(pow (* -2 (log u1)) 1/4)
(pow (* -2 (log u1)) 1/4)
(pow (* 2 (log (/ 1 u1))) 1/4)
(pow (* 2 (log (/ 1 u1))) 1/4)
(pow (* 2 (log (/ 1 u1))) 1/4)
(pow (* 2 (log (/ 1 u1))) 1/4)
(pow (* -2 (+ (log -1) (* -1 (log (/ -1 u1))))) 1/4)
(pow (* -2 (+ (log -1) (* -1 (log (/ -1 u1))))) 1/4)
(pow (* -2 (+ (log -1) (* -1 (log (/ -1 u1))))) 1/4)
(pow (* -2 (+ (log -1) (* -1 (log (/ -1 u1))))) 1/4)
(* 1/6 (* (sqrt (log u1)) (sqrt -2)))
(* 1/6 (* (sqrt (log u1)) (sqrt -2)))
(* 1/6 (* (sqrt (log u1)) (sqrt -2)))
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(* 1/6 (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1))))
(* 1/6 (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1))))
(* 1/6 (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1))))
(* 1/6 (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))))
(* 1/6 (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))))
(* 1/6 (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))))
(* 1/6 (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))))
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(* 1/6 (pow (* 2 (log (/ 1 u1))) 1/4))
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(* 1/6 (pow (* 2 (log (/ 1 u1))) 1/4))
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(* 1/6 (pow (* -2 (+ (log -1) (* -1 (log (/ -1 u1))))) 1/4))
(* 1/6 (pow (* -2 (+ (log -1) (* -1 (log (/ -1 u1))))) 1/4))
(* 1/6 (pow (* -2 (+ (log -1) (* -1 (log (/ -1 u1))))) 1/4))
Outputs
(+ 1/2 (* 1/6 (* (sqrt (log u1)) (sqrt -2))))
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(+ 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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(+ 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))))))))))
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(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))))
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(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))))
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(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))))
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(+.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) u1)))) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -2 binary64)))))
(pow (* -2 (log u1)) 1/4)
(pow.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)) #s(literal 1/4 binary64))
(pow (* -2 (log u1)) 1/4)
(pow.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)) #s(literal 1/4 binary64))
(pow (* -2 (log u1)) 1/4)
(pow.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)) #s(literal 1/4 binary64))
(pow (* -2 (log u1)) 1/4)
(pow.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)) #s(literal 1/4 binary64))
(pow (* 2 (log (/ 1 u1))) 1/4)
(pow.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)) #s(literal 1/4 binary64))
(pow (* 2 (log (/ 1 u1))) 1/4)
(pow.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)) #s(literal 1/4 binary64))
(pow (* 2 (log (/ 1 u1))) 1/4)
(pow.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)) #s(literal 1/4 binary64))
(pow (* 2 (log (/ 1 u1))) 1/4)
(pow.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)) #s(literal 1/4 binary64))
(pow (* -2 (+ (log -1) (* -1 (log (/ -1 u1))))) 1/4)
(pow.f64 (*.f64 #s(literal -2 binary64) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) u1)))) #s(literal 1/4 binary64))
(pow (* -2 (+ (log -1) (* -1 (log (/ -1 u1))))) 1/4)
(pow.f64 (*.f64 #s(literal -2 binary64) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) u1)))) #s(literal 1/4 binary64))
(pow (* -2 (+ (log -1) (* -1 (log (/ -1 u1))))) 1/4)
(pow.f64 (*.f64 #s(literal -2 binary64) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) u1)))) #s(literal 1/4 binary64))
(pow (* -2 (+ (log -1) (* -1 (log (/ -1 u1))))) 1/4)
(pow.f64 (*.f64 #s(literal -2 binary64) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) u1)))) #s(literal 1/4 binary64))
(log u1)
(log.f64 u1)
(log u1)
(log.f64 u1)
(log u1)
(log.f64 u1)
(log u1)
(log.f64 u1)
(* -1 (log (/ 1 u1)))
(log.f64 u1)
(* -1 (log (/ 1 u1)))
(log.f64 u1)
(* -1 (log (/ 1 u1)))
(log.f64 u1)
(* -1 (log (/ 1 u1)))
(log.f64 u1)
(+ (log -1) (* -1 (log (/ -1 u1))))
(-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) u1)))
(+ (log -1) (* -1 (log (/ -1 u1))))
(-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) u1)))
(+ (log -1) (* -1 (log (/ -1 u1))))
(-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) u1)))
(+ (log -1) (* -1 (log (/ -1 u1))))
(-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) u1)))
(* u2 (PI))
(*.f64 u2 (PI.f64))
(* u2 (PI))
(*.f64 u2 (PI.f64))
(* u2 (PI))
(*.f64 u2 (PI.f64))
(* u2 (PI))
(*.f64 u2 (PI.f64))
(* u2 (PI))
(*.f64 u2 (PI.f64))
(* u2 (PI))
(*.f64 u2 (PI.f64))
(* u2 (PI))
(*.f64 u2 (PI.f64))
(* u2 (PI))
(*.f64 u2 (PI.f64))
(* u2 (PI))
(*.f64 u2 (PI.f64))
(* u2 (PI))
(*.f64 u2 (PI.f64))
(* u2 (PI))
(*.f64 u2 (PI.f64))
(* u2 (PI))
(*.f64 u2 (PI.f64))
(* 1/6 (* (sqrt (log u1)) (sqrt -2)))
(*.f64 (sqrt.f64 (log.f64 u1)) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -2 binary64))))
(* 1/6 (* (sqrt (log u1)) (sqrt -2)))
(*.f64 (sqrt.f64 (log.f64 u1)) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -2 binary64))))
(* 1/6 (* (sqrt (log u1)) (sqrt -2)))
(*.f64 (sqrt.f64 (log.f64 u1)) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -2 binary64))))
(* 1/6 (* (sqrt (log u1)) (sqrt -2)))
(*.f64 (sqrt.f64 (log.f64 u1)) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -2 binary64))))
(* 1/6 (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1))))
(*.f64 (*.f64 (sqrt.f64 #s(literal -2 binary64)) (sqrt.f64 (-.f64 #s(literal 0 binary64) (log.f64 u1)))) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -1 binary64))))
(* 1/6 (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1))))
(*.f64 (*.f64 (sqrt.f64 #s(literal -2 binary64)) (sqrt.f64 (-.f64 #s(literal 0 binary64) (log.f64 u1)))) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -1 binary64))))
(* 1/6 (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1))))
(*.f64 (*.f64 (sqrt.f64 #s(literal -2 binary64)) (sqrt.f64 (-.f64 #s(literal 0 binary64) (log.f64 u1)))) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -1 binary64))))
(* 1/6 (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1))))
(*.f64 (*.f64 (sqrt.f64 #s(literal -2 binary64)) (sqrt.f64 (-.f64 #s(literal 0 binary64) (log.f64 u1)))) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -1 binary64))))
(* 1/6 (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))))
(*.f64 (sqrt.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) u1)))) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -2 binary64))))
(* 1/6 (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))))
(*.f64 (sqrt.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) u1)))) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -2 binary64))))
(* 1/6 (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))))
(*.f64 (sqrt.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) u1)))) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -2 binary64))))
(* 1/6 (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))))
(*.f64 (sqrt.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) u1)))) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -2 binary64))))
(pow (* -2 (log u1)) 1/4)
(pow.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)) #s(literal 1/4 binary64))
(pow (* -2 (log u1)) 1/4)
(pow.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)) #s(literal 1/4 binary64))
(pow (* -2 (log u1)) 1/4)
(pow.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)) #s(literal 1/4 binary64))
(pow (* -2 (log u1)) 1/4)
(pow.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)) #s(literal 1/4 binary64))
(pow (* 2 (log (/ 1 u1))) 1/4)
(pow.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)) #s(literal 1/4 binary64))
(pow (* 2 (log (/ 1 u1))) 1/4)
(pow.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)) #s(literal 1/4 binary64))
(pow (* 2 (log (/ 1 u1))) 1/4)
(pow.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)) #s(literal 1/4 binary64))
(pow (* 2 (log (/ 1 u1))) 1/4)
(pow.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)) #s(literal 1/4 binary64))
(pow (* -2 (+ (log -1) (* -1 (log (/ -1 u1))))) 1/4)
(pow.f64 (*.f64 #s(literal -2 binary64) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) u1)))) #s(literal 1/4 binary64))
(pow (* -2 (+ (log -1) (* -1 (log (/ -1 u1))))) 1/4)
(pow.f64 (*.f64 #s(literal -2 binary64) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) u1)))) #s(literal 1/4 binary64))
(pow (* -2 (+ (log -1) (* -1 (log (/ -1 u1))))) 1/4)
(pow.f64 (*.f64 #s(literal -2 binary64) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) u1)))) #s(literal 1/4 binary64))
(pow (* -2 (+ (log -1) (* -1 (log (/ -1 u1))))) 1/4)
(pow.f64 (*.f64 #s(literal -2 binary64) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) u1)))) #s(literal 1/4 binary64))
(* 1/6 (* (sqrt (log u1)) (sqrt -2)))
(*.f64 (sqrt.f64 (log.f64 u1)) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -2 binary64))))
(* 1/6 (* (sqrt (log u1)) (sqrt -2)))
(*.f64 (sqrt.f64 (log.f64 u1)) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -2 binary64))))
(* 1/6 (* (sqrt (log u1)) (sqrt -2)))
(*.f64 (sqrt.f64 (log.f64 u1)) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -2 binary64))))
(* 1/6 (* (sqrt (log u1)) (sqrt -2)))
(*.f64 (sqrt.f64 (log.f64 u1)) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -2 binary64))))
(* 1/6 (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1))))
(*.f64 (*.f64 (sqrt.f64 #s(literal -2 binary64)) (sqrt.f64 (-.f64 #s(literal 0 binary64) (log.f64 u1)))) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -1 binary64))))
(* 1/6 (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1))))
(*.f64 (*.f64 (sqrt.f64 #s(literal -2 binary64)) (sqrt.f64 (-.f64 #s(literal 0 binary64) (log.f64 u1)))) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -1 binary64))))
(* 1/6 (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1))))
(*.f64 (*.f64 (sqrt.f64 #s(literal -2 binary64)) (sqrt.f64 (-.f64 #s(literal 0 binary64) (log.f64 u1)))) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -1 binary64))))
(* 1/6 (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1))))
(*.f64 (*.f64 (sqrt.f64 #s(literal -2 binary64)) (sqrt.f64 (-.f64 #s(literal 0 binary64) (log.f64 u1)))) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -1 binary64))))
(* 1/6 (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))))
(*.f64 (sqrt.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) u1)))) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -2 binary64))))
(* 1/6 (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))))
(*.f64 (sqrt.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) u1)))) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -2 binary64))))
(* 1/6 (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))))
(*.f64 (sqrt.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) u1)))) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -2 binary64))))
(* 1/6 (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))))
(*.f64 (sqrt.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) u1)))) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -2 binary64))))
(* 1/6 (pow (* -2 (log u1)) 1/4))
(*.f64 #s(literal 1/6 binary64) (pow.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)) #s(literal 1/4 binary64)))
(* 1/6 (pow (* -2 (log u1)) 1/4))
(*.f64 #s(literal 1/6 binary64) (pow.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)) #s(literal 1/4 binary64)))
(* 1/6 (pow (* -2 (log u1)) 1/4))
(*.f64 #s(literal 1/6 binary64) (pow.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)) #s(literal 1/4 binary64)))
(* 1/6 (pow (* -2 (log u1)) 1/4))
(*.f64 #s(literal 1/6 binary64) (pow.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)) #s(literal 1/4 binary64)))
(* 1/6 (pow (* 2 (log (/ 1 u1))) 1/4))
(*.f64 #s(literal 1/6 binary64) (pow.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)) #s(literal 1/4 binary64)))
(* 1/6 (pow (* 2 (log (/ 1 u1))) 1/4))
(*.f64 #s(literal 1/6 binary64) (pow.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)) #s(literal 1/4 binary64)))
(* 1/6 (pow (* 2 (log (/ 1 u1))) 1/4))
(*.f64 #s(literal 1/6 binary64) (pow.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)) #s(literal 1/4 binary64)))
(* 1/6 (pow (* 2 (log (/ 1 u1))) 1/4))
(*.f64 #s(literal 1/6 binary64) (pow.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)) #s(literal 1/4 binary64)))
(* 1/6 (pow (* -2 (+ (log -1) (* -1 (log (/ -1 u1))))) 1/4))
(*.f64 #s(literal 1/6 binary64) (pow.f64 (*.f64 #s(literal -2 binary64) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) u1)))) #s(literal 1/4 binary64)))
(* 1/6 (pow (* -2 (+ (log -1) (* -1 (log (/ -1 u1))))) 1/4))
(*.f64 #s(literal 1/6 binary64) (pow.f64 (*.f64 #s(literal -2 binary64) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) u1)))) #s(literal 1/4 binary64)))
(* 1/6 (pow (* -2 (+ (log -1) (* -1 (log (/ -1 u1))))) 1/4))
(*.f64 #s(literal 1/6 binary64) (pow.f64 (*.f64 #s(literal -2 binary64) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) u1)))) #s(literal 1/4 binary64)))
(* 1/6 (pow (* -2 (+ (log -1) (* -1 (log (/ -1 u1))))) 1/4))
(*.f64 #s(literal 1/6 binary64) (pow.f64 (*.f64 #s(literal -2 binary64) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) u1)))) #s(literal 1/4 binary64)))

eval611.0ms (4.7%)

Memory
-65.7MiB live, 705.4MiB allocated
Compiler

Compiled 69 030 to 3 312 computations (95.2% saved)

prune171.0ms (1.3%)

Memory
18.8MiB live, 374.9MiB allocated
Pruning

14 alts after pruning (11 fresh and 3 done)

PrunedKeptTotal
New2 30792 316
Fresh628
Picked235
Done000
Total2 315142 329
Accuracy
100.0%
Counts
2 329 → 14
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓98.7%
(fma.f64 (pow.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)) #s(literal 1/4 binary64)) (*.f64 #s(literal 1/6 binary64) (pow.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)) #s(literal 1/4 binary64))) #s(literal 1/2 binary64))
▶98.8%
(/.f64 (+.f64 #s(literal 1/4 binary64) (*.f64 (log.f64 u1) #s(literal 1/18 binary64))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))))))
98.7%
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))))) (+.f64 #s(literal 1/4 binary64) (*.f64 (log.f64 u1) #s(literal 1/18 binary64)))))
▶98.9%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)))) #s(literal 1/2 binary64))))
99.2%
(-.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 u2 (*.f64 u2 (*.f64 #s(literal -2 binary64) (*.f64 (PI.f64) (PI.f64)))))) (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))))) #s(literal -1/2 binary64))
✓99.4%
(-.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))) (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))))) #s(literal -1/2 binary64))
98.7%
(+.f64 (*.f64 (pow.f64 (pow.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)) #s(literal 1/4 binary64)) #s(literal 2 binary64)) #s(literal 1/6 binary64)) #s(literal 1/2 binary64))
▶98.1%
(+.f64 (*.f64 (pow.f64 (pow.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)) #s(literal 1/8 binary64)) #s(literal 4 binary64)) #s(literal 1/6 binary64)) #s(literal 1/2 binary64))
98.7%
(+.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) (pow.f64 (pow.f64 (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal 1/2 binary64)) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 1/2 binary64))
▶99.3%
(+.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) (*.f64 (sqrt.f64 (log.f64 (/.f64 #s(literal 1 binary64) u1))) (sqrt.f64 #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 u2 (*.f64 u2 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal -2 binary64)))))) #s(literal 1/2 binary64))
99.1%
(+.f64 (*.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (log.f64 u1))) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 1/2 binary64))
✓98.9%
(+.f64 (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal 1/6 binary64)) #s(literal 1/2 binary64))
▶98.5%
(+.f64 (*.f64 (exp.f64 (*.f64 (log.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal 1/2 binary64))) #s(literal 1/6 binary64)) #s(literal 1/2 binary64))
98.7%
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))))))) #s(literal -1 binary64)))
Compiler

Compiled 439 to 371 computations (15.5% saved)

simplify411.0ms (3.1%)

Memory
-21.5MiB live, 314.1MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(log.f64 u1)
✓cost-diff0
(*.f64 (log.f64 u1) #s(literal 1/18 binary64))
✓cost-diff0
(+.f64 #s(literal 1/4 binary64) (*.f64 (log.f64 u1) #s(literal 1/18 binary64)))
✓cost-diff0
(/.f64 (+.f64 #s(literal 1/4 binary64) (*.f64 (log.f64 u1) #s(literal 1/18 binary64))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))))))
✓cost-diff0
(pow.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)) #s(literal 1/8 binary64))
✓cost-diff0
(pow.f64 (pow.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)) #s(literal 1/8 binary64)) #s(literal 4 binary64))
✓cost-diff0
(*.f64 (pow.f64 (pow.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)) #s(literal 1/8 binary64)) #s(literal 4 binary64)) #s(literal 1/6 binary64))
✓cost-diff0
(+.f64 (*.f64 (pow.f64 (pow.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)) #s(literal 1/8 binary64)) #s(literal 4 binary64)) #s(literal 1/6 binary64)) #s(literal 1/2 binary64))
✓cost-diff0
(*.f64 (log.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal 1/2 binary64))
✓cost-diff0
(*.f64 (exp.f64 (*.f64 (log.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal 1/2 binary64))) #s(literal 1/6 binary64))
✓cost-diff0
(+.f64 (*.f64 (exp.f64 (*.f64 (log.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal 1/2 binary64))) #s(literal 1/6 binary64)) #s(literal 1/2 binary64))
✓cost-diff6528
(exp.f64 (*.f64 (log.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal 1/2 binary64)))
✓cost-diff0
(*.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))))
✓cost-diff0
(+.f64 (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)))) #s(literal 1/2 binary64))
✓cost-diff0
(/.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)))) #s(literal 1/2 binary64)))
✓cost-diff256
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)))) #s(literal 1/2 binary64))))
✓cost-diff0
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) (*.f64 (sqrt.f64 (log.f64 (/.f64 #s(literal 1 binary64) u1))) (sqrt.f64 #s(literal 2 binary64))))
✓cost-diff0
(+.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) (*.f64 (sqrt.f64 (log.f64 (/.f64 #s(literal 1 binary64) u1))) (sqrt.f64 #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 u2 (*.f64 u2 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal -2 binary64)))))) #s(literal 1/2 binary64))
✓cost-diff128
(/.f64 #s(literal 1 binary64) #s(literal 6 binary64))
✓cost-diff128
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) (*.f64 (sqrt.f64 (log.f64 (/.f64 #s(literal 1 binary64) u1))) (sqrt.f64 #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 u2 (*.f64 u2 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal -2 binary64))))))
Rules
6 938×associate-*r*
6 330×*-lowering-*.f32
6 330×*-lowering-*.f64
2 786×associate-*l*
2 256×accelerator-lowering-fma.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
047318
195318
2215314
3710314
4941314
5961314
6983314
71018314
81057314
91092314
101138314
111214314
121327314
131421314
141579314
151743314
161808314
171858314
181883314
194104314
204293314
214295314
224298314
234299314
244299314
254299314
264778314
274778314
284778314
297368314
307382314
317382314
327434314
07434301
Stop Event
1×iter limit
1×saturated
Calls
Call 1
Inputs
(+ (* (* (/ 1 6) (* (sqrt (log (/ 1 u1))) (sqrt 2))) (+ 1 (* u2 (* u2 (* (* (PI) (PI)) -2))))) 1/2)
(* (* (/ 1 6) (* (sqrt (log (/ 1 u1))) (sqrt 2))) (+ 1 (* u2 (* u2 (* (* (PI) (PI)) -2)))))
(* (/ 1 6) (* (sqrt (log (/ 1 u1))) (sqrt 2)))
(/ 1 6)
1
6
(* (sqrt (log (/ 1 u1))) (sqrt 2))
(sqrt (log (/ 1 u1)))
(log (/ 1 u1))
(/ 1 u1)
u1
(sqrt 2)
2
(+ 1 (* u2 (* u2 (* (* (PI) (PI)) -2))))
(* u2 (* u2 (* (* (PI) (PI)) -2)))
u2
(* u2 (* (* (PI) (PI)) -2))
(* (* (PI) (PI)) -2)
(* (PI) (PI))
(PI)
-2
1/2
(/ 1 (/ 1 (+ (* 1/6 (sqrt (* (log u1) -2))) 1/2)))
1
(/ 1 (+ (* 1/6 (sqrt (* (log u1) -2))) 1/2))
(+ (* 1/6 (sqrt (* (log u1) -2))) 1/2)
(* 1/6 (sqrt (* (log u1) -2)))
1/6
(sqrt (* (log u1) -2))
(* (log u1) -2)
(log u1)
u1
-2
1/2
(+ (* (exp (* (log (* (log u1) -2)) 1/2)) 1/6) 1/2)
(* (exp (* (log (* (log u1) -2)) 1/2)) 1/6)
(exp (* (log (* (log u1) -2)) 1/2))
(* (log (* (log u1) -2)) 1/2)
(log (* (log u1) -2))
(* (log u1) -2)
(log u1)
u1
-2
1/2
1/6
(+ (* (pow (pow (* (log u1) -2) 1/8) 4) 1/6) 1/2)
(* (pow (pow (* (log u1) -2) 1/8) 4) 1/6)
(pow (pow (* (log u1) -2) 1/8) 4)
(pow (* (log u1) -2) 1/8)
(* (log u1) -2)
(log u1)
u1
-2
1/8
4
1/6
1/2
(/ (+ 1/4 (* (log u1) 1/18)) (- 1/2 (* 1/6 (sqrt (* (log u1) -2)))))
(+ 1/4 (* (log u1) 1/18))
1/4
(* (log u1) 1/18)
(log u1)
u1
1/18
(- 1/2 (* 1/6 (sqrt (* (log u1) -2))))
1/2
(* 1/6 (sqrt (* (log u1) -2)))
1/6
(sqrt (* (log u1) -2))
(* (log u1) -2)
-2
Outputs
(+ (* (* (/ 1 6) (* (sqrt (log (/ 1 u1))) (sqrt 2))) (+ 1 (* u2 (* u2 (* (* (PI) (PI)) -2))))) 1/2)
(+.f64 (*.f64 (sqrt.f64 (log.f64 (/.f64 #s(literal 1 binary64) u1))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 #s(literal 1/6 binary64) (*.f64 (PI.f64) (*.f64 u2 (*.f64 (*.f64 u2 (PI.f64)) #s(literal -1/3 binary64))))))) #s(literal 1/2 binary64))
(* (* (/ 1 6) (* (sqrt (log (/ 1 u1))) (sqrt 2))) (+ 1 (* u2 (* u2 (* (* (PI) (PI)) -2)))))
(*.f64 (sqrt.f64 (log.f64 (/.f64 #s(literal 1 binary64) u1))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 #s(literal 1/6 binary64) (*.f64 (PI.f64) (*.f64 u2 (*.f64 (*.f64 u2 (PI.f64)) #s(literal -1/3 binary64)))))))
(* (/ 1 6) (* (sqrt (log (/ 1 u1))) (sqrt 2)))
(*.f64 (sqrt.f64 (log.f64 (/.f64 #s(literal 1 binary64) u1))) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal 2 binary64))))
(/ 1 6)
#s(literal 1/6 binary64)
1
#s(literal 1 binary64)
6
#s(literal 6 binary64)
(* (sqrt (log (/ 1 u1))) (sqrt 2))
(*.f64 (sqrt.f64 (log.f64 (/.f64 #s(literal 1 binary64) u1))) (sqrt.f64 #s(literal 2 binary64)))
(sqrt (log (/ 1 u1)))
(sqrt.f64 (log.f64 (/.f64 #s(literal 1 binary64) u1)))
(log (/ 1 u1))
(log.f64 (/.f64 #s(literal 1 binary64) u1))
(/ 1 u1)
(/.f64 #s(literal 1 binary64) u1)
u1
(sqrt 2)
(sqrt.f64 #s(literal 2 binary64))
2
#s(literal 2 binary64)
(+ 1 (* u2 (* u2 (* (* (PI) (PI)) -2))))
(+.f64 #s(literal 1 binary64) (*.f64 (PI.f64) (*.f64 u2 (*.f64 #s(literal -2 binary64) (*.f64 u2 (PI.f64))))))
(* u2 (* u2 (* (* (PI) (PI)) -2)))
(*.f64 (PI.f64) (*.f64 u2 (*.f64 #s(literal -2 binary64) (*.f64 u2 (PI.f64)))))
u2
(* u2 (* (* (PI) (PI)) -2))
(*.f64 u2 (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal -2 binary64))))
(* (* (PI) (PI)) -2)
(*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal -2 binary64)))
(* (PI) (PI))
(*.f64 (PI.f64) (PI.f64))
(PI)
(PI.f64)
-2
#s(literal -2 binary64)
1/2
#s(literal 1/2 binary64)
(/ 1 (/ 1 (+ (* 1/6 (sqrt (* (log u1) -2))) 1/2)))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)))))
1
#s(literal 1 binary64)
(/ 1 (+ (* 1/6 (sqrt (* (log u1) -2))) 1/2))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))))))
(+ (* 1/6 (sqrt (* (log u1) -2))) 1/2)
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)))))
(* 1/6 (sqrt (* (log u1) -2)))
(*.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))))
1/6
#s(literal 1/6 binary64)
(sqrt (* (log u1) -2))
(sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)))
(* (log u1) -2)
(*.f64 #s(literal -2 binary64) (log.f64 u1))
(log u1)
(log.f64 u1)
u1
-2
#s(literal -2 binary64)
1/2
#s(literal 1/2 binary64)
(+ (* (exp (* (log (* (log u1) -2)) 1/2)) 1/6) 1/2)
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)))))
(* (exp (* (log (* (log u1) -2)) 1/2)) 1/6)
(*.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))))
(exp (* (log (* (log u1) -2)) 1/2))
(sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)))
(* (log (* (log u1) -2)) 1/2)
(*.f64 #s(literal 1/2 binary64) (log.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))))
(log (* (log u1) -2))
(log.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)))
(* (log u1) -2)
(*.f64 #s(literal -2 binary64) (log.f64 u1))
(log u1)
(log.f64 u1)
u1
-2
#s(literal -2 binary64)
1/2
#s(literal 1/2 binary64)
1/6
#s(literal 1/6 binary64)
(+ (* (pow (pow (* (log u1) -2) 1/8) 4) 1/6) 1/2)
(+.f64 #s(literal 1/2 binary64) (*.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 4 binary64))))
(* (pow (pow (* (log u1) -2) 1/8) 4) 1/6)
(*.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 4 binary64)))
(pow (pow (* (log u1) -2) 1/8) 4)
(pow.f64 (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/8 binary64)) #s(literal 4 binary64))
(pow (* (log u1) -2) 1/8)
(pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/8 binary64))
(* (log u1) -2)
(*.f64 #s(literal -2 binary64) (log.f64 u1))
(log u1)
(log.f64 u1)
u1
-2
#s(literal -2 binary64)
1/8
#s(literal 1/8 binary64)
4
#s(literal 4 binary64)
1/6
#s(literal 1/6 binary64)
1/2
#s(literal 1/2 binary64)
(/ (+ 1/4 (* (log u1) 1/18)) (- 1/2 (* 1/6 (sqrt (* (log u1) -2)))))
(/.f64 (+.f64 #s(literal 1/4 binary64) (*.f64 (log.f64 u1) #s(literal 1/18 binary64))) (+.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal -1/6 binary64))))
(+ 1/4 (* (log u1) 1/18))
(+.f64 #s(literal 1/4 binary64) (*.f64 (log.f64 u1) #s(literal 1/18 binary64)))
1/4
#s(literal 1/4 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)
(- 1/2 (* 1/6 (sqrt (* (log u1) -2))))
(+.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal -1/6 binary64)))
1/2
#s(literal 1/2 binary64)
(* 1/6 (sqrt (* (log u1) -2)))
(*.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))))
1/6
#s(literal 1/6 binary64)
(sqrt (* (log u1) -2))
(sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)))
(* (log u1) -2)
(*.f64 #s(literal -2 binary64) (log.f64 u1))
-2
#s(literal -2 binary64)

localize243.0ms (1.9%)

Memory
-1.0MiB live, 308.8MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
✓accuracy99.8%
(sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)))
✓accuracy99.4%
(*.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))))
✓accuracy99.4%
(*.f64 (log.f64 u1) #s(literal 1/18 binary64))
✓accuracy99.3%
(/.f64 (+.f64 #s(literal 1/4 binary64) (*.f64 (log.f64 u1) #s(literal 1/18 binary64))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))))))
✓accuracy100.0%
(pow.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)) #s(literal 1/8 binary64))
✓accuracy99.9%
(+.f64 (*.f64 (pow.f64 (pow.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)) #s(literal 1/8 binary64)) #s(literal 4 binary64)) #s(literal 1/6 binary64)) #s(literal 1/2 binary64))
✓accuracy99.4%
(*.f64 (pow.f64 (pow.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)) #s(literal 1/8 binary64)) #s(literal 4 binary64)) #s(literal 1/6 binary64))
✓accuracy98.4%
(pow.f64 (pow.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)) #s(literal 1/8 binary64)) #s(literal 4 binary64))
✓accuracy99.9%
(+.f64 (*.f64 (exp.f64 (*.f64 (log.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal 1/2 binary64))) #s(literal 1/6 binary64)) #s(literal 1/2 binary64))
✓accuracy99.9%
(log.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)))
✓accuracy99.4%
(*.f64 (exp.f64 (*.f64 (log.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal 1/2 binary64))) #s(literal 1/6 binary64))
✓accuracy98.9%
(exp.f64 (*.f64 (log.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal 1/2 binary64)))
✓accuracy99.8%
(sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)))
✓accuracy99.6%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)))) #s(literal 1/2 binary64))))
✓accuracy99.5%
(/.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)))) #s(literal 1/2 binary64)))
✓accuracy99.4%
(*.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))))
✓accuracy99.8%
(sqrt.f64 (log.f64 (/.f64 #s(literal 1 binary64) u1)))
✓accuracy99.4%
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) (*.f64 (sqrt.f64 (log.f64 (/.f64 #s(literal 1 binary64) u1))) (sqrt.f64 #s(literal 2 binary64))))
✓accuracy99.4%
(*.f64 u2 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal -2 binary64)))
✓accuracy99.2%
(*.f64 (sqrt.f64 (log.f64 (/.f64 #s(literal 1 binary64) u1))) (sqrt.f64 #s(literal 2 binary64)))
Samples
171.0ms256×0valid
Compiler

Compiled 347 to 49 computations (85.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 141.0ms
ival-mult: 51.0ms (36.2% of total)
ival-log: 49.0ms (34.8% of total)
ival-div: 9.0ms (6.4% of total)
ival-add: 8.0ms (5.7% of total)
const: 7.0ms (5% of total)
ival-pow: 6.0ms (4.3% of total)
ival-sqrt: 5.0ms (3.5% of total)
ival-exp: 3.0ms (2.1% of total)
ival-pi: 1.0ms (0.7% of total)
ival-sub: 1.0ms (0.7% of total)
exact: 1.0ms (0.7% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series21.0ms (0.2%)

Memory
5.3MiB live, 44.1MiB allocated
Counts
25 → 312
Calls
Call 1
Inputs
#<alt (* (* (/ 1 6) (* (sqrt (log (/ 1 u1))) (sqrt 2))) (+ 1 (* u2 (* u2 (* (* (PI) (PI)) -2)))))>
#<alt (/ 1 6)>
#<alt (+ (* (* (/ 1 6) (* (sqrt (log (/ 1 u1))) (sqrt 2))) (+ 1 (* u2 (* u2 (* (* (PI) (PI)) -2))))) 1/2)>
#<alt (* (/ 1 6) (* (sqrt (log (/ 1 u1))) (sqrt 2)))>
#<alt (/ 1 (/ 1 (+ (* 1/6 (sqrt (* (log u1) -2))) 1/2)))>
#<alt (/ 1 (+ (* 1/6 (sqrt (* (log u1) -2))) 1/2))>
#<alt (+ (* 1/6 (sqrt (* (log u1) -2))) 1/2)>
#<alt (* 1/6 (sqrt (* (log u1) -2)))>
#<alt (exp (* (log (* (log u1) -2)) 1/2))>
#<alt (+ (* (exp (* (log (* (log u1) -2)) 1/2)) 1/6) 1/2)>
#<alt (* (exp (* (log (* (log u1) -2)) 1/2)) 1/6)>
#<alt (* (log (* (log u1) -2)) 1/2)>
#<alt (+ (* (pow (pow (* (log u1) -2) 1/8) 4) 1/6) 1/2)>
#<alt (* (pow (pow (* (log u1) -2) 1/8) 4) 1/6)>
#<alt (pow (pow (* (log u1) -2) 1/8) 4)>
#<alt (pow (* (log u1) -2) 1/8)>
#<alt (/ (+ 1/4 (* (log u1) 1/18)) (- 1/2 (* 1/6 (sqrt (* (log u1) -2)))))>
#<alt (+ 1/4 (* (log u1) 1/18))>
#<alt (* (log u1) 1/18)>
#<alt (log u1)>
#<alt (* (sqrt (log (/ 1 u1))) (sqrt 2))>
#<alt (* u2 (* (* (PI) (PI)) -2))>
#<alt (sqrt (log (/ 1 u1)))>
#<alt (sqrt (* (log u1) -2))>
#<alt (log (* (log u1) -2))>
Outputs
#<alt (* 1/6 (* (sqrt (log u1)) (* (sqrt -1) (* (sqrt 2) (+ 1 (* -2 (* (pow u2 2) (pow (PI) 2))))))))>
#<alt (* 1/6 (* (sqrt (log u1)) (* (sqrt -1) (* (sqrt 2) (+ 1 (* -2 (* (pow u2 2) (pow (PI) 2))))))))>
#<alt (* 1/6 (* (sqrt (log u1)) (* (sqrt -1) (* (sqrt 2) (+ 1 (* -2 (* (pow u2 2) (pow (PI) 2))))))))>
#<alt (* 1/6 (* (sqrt (log u1)) (* (sqrt -1) (* (sqrt 2) (+ 1 (* -2 (* (pow u2 2) (pow (PI) 2))))))))>
#<alt (* 1/6 (* (sqrt (log (/ 1 u1))) (* (sqrt 2) (+ 1 (* -2 (* (pow u2 2) (pow (PI) 2)))))))>
#<alt (* 1/6 (* (sqrt (log (/ 1 u1))) (* (sqrt 2) (+ 1 (* -2 (* (pow u2 2) (pow (PI) 2)))))))>
#<alt (* 1/6 (* (sqrt (log (/ 1 u1))) (* (sqrt 2) (+ 1 (* -2 (* (pow u2 2) (pow (PI) 2)))))))>
#<alt (* 1/6 (* (sqrt (log (/ 1 u1))) (* (sqrt 2) (+ 1 (* -2 (* (pow u2 2) (pow (PI) 2)))))))>
#<alt (* 1/6 (* (* (sqrt 2) (+ 1 (* -2 (* (pow u2 2) (pow (PI) 2))))) (sqrt (+ (log -1) (log (/ -1 u1))))))>
#<alt (* 1/6 (* (* (sqrt 2) (+ 1 (* -2 (* (pow u2 2) (pow (PI) 2))))) (sqrt (+ (log -1) (log (/ -1 u1))))))>
#<alt (* 1/6 (* (* (sqrt 2) (+ 1 (* -2 (* (pow u2 2) (pow (PI) 2))))) (sqrt (+ (log -1) (log (/ -1 u1))))))>
#<alt (* 1/6 (* (* (sqrt 2) (+ 1 (* -2 (* (pow u2 2) (pow (PI) 2))))) (sqrt (+ (log -1) (log (/ -1 u1))))))>
#<alt (* 1/6 (* (sqrt (log (/ 1 u1))) (sqrt 2)))>
#<alt (+ (* -1/3 (* (* (pow u2 2) (* (pow (PI) 2) (sqrt 2))) (sqrt (log (/ 1 u1))))) (* 1/6 (* (sqrt (log (/ 1 u1))) (sqrt 2))))>
#<alt (+ (* -1/3 (* (* (pow u2 2) (* (pow (PI) 2) (sqrt 2))) (sqrt (log (/ 1 u1))))) (* 1/6 (* (sqrt (log (/ 1 u1))) (sqrt 2))))>
#<alt (+ (* -1/3 (* (* (pow u2 2) (* (pow (PI) 2) (sqrt 2))) (sqrt (log (/ 1 u1))))) (* 1/6 (* (sqrt (log (/ 1 u1))) (sqrt 2))))>
#<alt (* -1/3 (* (* (pow u2 2) (* (pow (PI) 2) (sqrt 2))) (sqrt (log (/ 1 u1)))))>
#<alt (* (pow u2 2) (+ (* -1/3 (* (* (pow (PI) 2) (sqrt 2)) (sqrt (log (/ 1 u1))))) (* 1/6 (* (/ (sqrt 2) (pow u2 2)) (sqrt (log (/ 1 u1)))))))>
#<alt (* (pow u2 2) (+ (* -1/3 (* (* (pow (PI) 2) (sqrt 2)) (sqrt (log (/ 1 u1))))) (* 1/6 (* (/ (sqrt 2) (pow u2 2)) (sqrt (log (/ 1 u1)))))))>
#<alt (* (pow u2 2) (+ (* -1/3 (* (* (pow (PI) 2) (sqrt 2)) (sqrt (log (/ 1 u1))))) (* 1/6 (* (/ (sqrt 2) (pow u2 2)) (sqrt (log (/ 1 u1)))))))>
#<alt (* -1/3 (* (* (pow u2 2) (* (pow (PI) 2) (sqrt 2))) (sqrt (log (/ 1 u1)))))>
#<alt (* (pow u2 2) (+ (* -1/3 (* (* (pow (PI) 2) (sqrt 2)) (sqrt (log (/ 1 u1))))) (* 1/6 (* (/ (sqrt 2) (pow u2 2)) (sqrt (log (/ 1 u1)))))))>
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#<alt (* -2 (* u2 (pow (PI) 2)))>
#<alt (* -2 (* u2 (pow (PI) 2)))>
#<alt (* -2 (* u2 (pow (PI) 2)))>
#<alt (* -2 (* u2 (pow (PI) 2)))>
#<alt (* -2 (* u2 (pow (PI) 2)))>
#<alt (* (sqrt (log u1)) (sqrt -1))>
#<alt (* (sqrt (log u1)) (sqrt -1))>
#<alt (* (sqrt (log u1)) (sqrt -1))>
#<alt (* (sqrt (log u1)) (sqrt -1))>
#<alt (sqrt (log (/ 1 u1)))>
#<alt (sqrt (log (/ 1 u1)))>
#<alt (sqrt (log (/ 1 u1)))>
#<alt (sqrt (log (/ 1 u1)))>
#<alt (sqrt (+ (log -1) (log (/ -1 u1))))>
#<alt (sqrt (+ (log -1) (log (/ -1 u1))))>
#<alt (sqrt (+ (log -1) (log (/ -1 u1))))>
#<alt (sqrt (+ (log -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 (log (* -2 (log u1)))>
#<alt (log (* -2 (log u1)))>
#<alt (log (* -2 (log u1)))>
#<alt (log (* -2 (log u1)))>
#<alt (log (* 2 (log (/ 1 u1))))>
#<alt (log (* 2 (log (/ 1 u1))))>
#<alt (log (* 2 (log (/ 1 u1))))>
#<alt (log (* 2 (log (/ 1 u1))))>
#<alt (log (* -2 (+ (log -1) (* -1 (log (/ -1 u1))))))>
#<alt (log (* -2 (+ (log -1) (* -1 (log (/ -1 u1))))))>
#<alt (log (* -2 (+ (log -1) (* -1 (log (/ -1 u1))))))>
#<alt (log (* -2 (+ (log -1) (* -1 (log (/ -1 u1))))))>
Calls

78 calls:

TimeVariablePointExpression
2.0ms
u1
@0
(* (* (/ 1 6) (* (sqrt (log (/ 1 u1))) (sqrt 2))) (+ 1 (* u2 (* u2 (* (* (PI) (PI)) -2)))))
1.0ms
u2
@inf
(* (* (/ 1 6) (* (sqrt (log (/ 1 u1))) (sqrt 2))) (+ 1 (* u2 (* u2 (* (* (PI) (PI)) -2)))))
1.0ms
u1
@-inf
(/ (+ 1/4 (* (log u1) 1/18)) (- 1/2 (* 1/6 (sqrt (* (log u1) -2)))))
1.0ms
u1
@inf
(/ (+ 1/4 (* (log u1) 1/18)) (- 1/2 (* 1/6 (sqrt (* (log u1) -2)))))
1.0ms
u2
@0
(* (* (/ 1 6) (* (sqrt (log (/ 1 u1))) (sqrt 2))) (+ 1 (* u2 (* u2 (* (* (PI) (PI)) -2)))))

rewrite427.0ms (3.3%)

Memory
15.6MiB live, 647.0MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
4 786×*-lowering-*.f32
4 786×*-lowering-*.f64
4 432×accelerator-lowering-fma.f32
4 432×accelerator-lowering-fma.f64
3 806×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
047197
1244197
21424193
08423182
Stop Event
1×iter limit
1×node limit
Counts
25 → 770
Calls
Call 1
Inputs
(* (* (/ 1 6) (* (sqrt (log (/ 1 u1))) (sqrt 2))) (+ 1 (* u2 (* u2 (* (* (PI) (PI)) -2)))))
(/ 1 6)
(+ (* (* (/ 1 6) (* (sqrt (log (/ 1 u1))) (sqrt 2))) (+ 1 (* u2 (* u2 (* (* (PI) (PI)) -2))))) 1/2)
(* (/ 1 6) (* (sqrt (log (/ 1 u1))) (sqrt 2)))
(/ 1 (/ 1 (+ (* 1/6 (sqrt (* (log u1) -2))) 1/2)))
(/ 1 (+ (* 1/6 (sqrt (* (log u1) -2))) 1/2))
(+ (* 1/6 (sqrt (* (log u1) -2))) 1/2)
(* 1/6 (sqrt (* (log u1) -2)))
(exp (* (log (* (log u1) -2)) 1/2))
(+ (* (exp (* (log (* (log u1) -2)) 1/2)) 1/6) 1/2)
(* (exp (* (log (* (log u1) -2)) 1/2)) 1/6)
(* (log (* (log u1) -2)) 1/2)
(+ (* (pow (pow (* (log u1) -2) 1/8) 4) 1/6) 1/2)
(* (pow (pow (* (log u1) -2) 1/8) 4) 1/6)
(pow (pow (* (log u1) -2) 1/8) 4)
(pow (* (log u1) -2) 1/8)
(/ (+ 1/4 (* (log u1) 1/18)) (- 1/2 (* 1/6 (sqrt (* (log u1) -2)))))
(+ 1/4 (* (log u1) 1/18))
(* (log u1) 1/18)
(log u1)
(* (sqrt (log (/ 1 u1))) (sqrt 2))
(* u2 (* (* (PI) (PI)) -2))
(sqrt (log (/ 1 u1)))
(sqrt (* (log u1) -2))
(log (* (log u1) -2))
Outputs
(+.f64 (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (-.f64 #s(literal 0 binary64) (*.f64 (log.f64 u1) #s(literal 2 binary64))))) (*.f64 (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (-.f64 #s(literal 0 binary64) (*.f64 (log.f64 u1) #s(literal 2 binary64))))) (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal -2 binary64))) (*.f64 u2 u2))))
(+.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (-.f64 #s(literal 0 binary64) (*.f64 (log.f64 u1) #s(literal 2 binary64))))) (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal -2 binary64))) (*.f64 u2 u2))) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (-.f64 #s(literal 0 binary64) (*.f64 (log.f64 u1) #s(literal 2 binary64))))))
(-.f64 (/.f64 (pow.f64 (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (-.f64 #s(literal 0 binary64) (*.f64 (log.f64 u1) #s(literal 2 binary64))))) #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (-.f64 #s(literal 0 binary64) (*.f64 (log.f64 u1) #s(literal 2 binary64))))) (*.f64 (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (-.f64 #s(literal 0 binary64) (*.f64 (log.f64 u1) #s(literal 2 binary64))))) (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal -2 binary64))) (*.f64 u2 u2))))) (/.f64 (pow.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (-.f64 #s(literal 0 binary64) (*.f64 (log.f64 u1) #s(literal 2 binary64))))) (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal -2 binary64))) (*.f64 u2 u2))) #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (-.f64 #s(literal 0 binary64) (*.f64 (log.f64 u1) #s(literal 2 binary64))))) (*.f64 (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (-.f64 #s(literal 0 binary64) (*.f64 (log.f64 u1) #s(literal 2 binary64))))) (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal -2 binary64))) (*.f64 u2 u2))))))
(fma.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (-.f64 #s(literal 0 binary64) (*.f64 (log.f64 u1) #s(literal 2 binary64))))) (*.f64 (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (-.f64 #s(literal 0 binary64) (*.f64 (log.f64 u1) #s(literal 2 binary64))))) (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal -2 binary64))) (*.f64 u2 u2))))
(fma.f64 #s(literal 1/6 binary64) (sqrt.f64 (-.f64 #s(literal 0 binary64) (*.f64 (log.f64 u1) #s(literal 2 binary64)))) (*.f64 (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (-.f64 #s(literal 0 binary64) (*.f64 (log.f64 u1) #s(literal 2 binary64))))) (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal -2 binary64))) (*.f64 u2 u2))))
(fma.f64 #s(literal 1/6 binary64) (*.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (*.f64 (log.f64 u1) #s(literal 2 binary64)))) (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal -2 binary64))) (*.f64 u2 u2))) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (-.f64 #s(literal 0 binary64) (*.f64 (log.f64 u1) #s(literal 2 binary64))))))
(fma.f64 (pow.f64 (-.f64 #s(literal 0 binary64) (log.f64 u1)) #s(literal 1/2 binary64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/6 binary64)) (*.f64 (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (-.f64 #s(literal 0 binary64) (*.f64 (log.f64 u1) #s(literal 2 binary64))))) (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal -2 binary64))) (*.f64 u2 u2))))
(fma.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1/6 binary64) (pow.f64 (-.f64 #s(literal 0 binary64) (log.f64 u1)) #s(literal 1/2 binary64))) (*.f64 (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (-.f64 #s(literal 0 binary64) (*.f64 (log.f64 u1) #s(literal 2 binary64))))) (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal -2 binary64))) (*.f64 u2 u2))))
(fma.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (*.f64 (log.f64 u1) #s(literal 2 binary64)))) #s(literal 1/6 binary64) (*.f64 (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (-.f64 #s(literal 0 binary64) (*.f64 (log.f64 u1) #s(literal 2 binary64))))) (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal -2 binary64))) (*.f64 u2 u2))))
(fma.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (*.f64 (log.f64 u1) #s(literal 2 binary64)))) (*.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal -2 binary64))) (*.f64 u2 u2))) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (-.f64 #s(literal 0 binary64) (*.f64 (log.f64 u1) #s(literal 2 binary64))))))
(fma.f64 (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (-.f64 #s(literal 0 binary64) (*.f64 (log.f64 u1) #s(literal 2 binary64))))) #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (-.f64 #s(literal 0 binary64) (*.f64 (log.f64 u1) #s(literal 2 binary64))))) (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal -2 binary64))) (*.f64 u2 u2))))
(fma.f64 (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (-.f64 #s(literal 0 binary64) (*.f64 (log.f64 u1) #s(literal 2 binary64))))) (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal -2 binary64))) (*.f64 u2 u2)) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (-.f64 #s(literal 0 binary64) (*.f64 (log.f64 u1) #s(literal 2 binary64))))))
(fma.f64 u2 (*.f64 (*.f64 u2 (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal -2 binary64)))) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (-.f64 #s(literal 0 binary64) (*.f64 (log.f64 u1) #s(literal 2 binary64)))))) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (-.f64 #s(literal 0 binary64) (*.f64 (log.f64 u1) #s(literal 2 binary64))))))
(fma.f64 (*.f64 u2 (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal -2 binary64)))) (*.f64 u2 (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (-.f64 #s(literal 0 binary64) (*.f64 (log.f64 u1) #s(literal 2 binary64)))))) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (-.f64 #s(literal 0 binary64) (*.f64 (log.f64 u1) #s(literal 2 binary64))))))
(fma.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal -2 binary64))) (*.f64 u2 u2)) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (-.f64 #s(literal 0 binary64) (*.f64 (log.f64 u1) #s(literal 2 binary64))))) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (-.f64 #s(literal 0 binary64) (*.f64 (log.f64 u1) #s(literal 2 binary64))))))
(fma.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 (-.f64 #s(literal 0 binary64) (log.f64 u1)) #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (-.f64 #s(literal 0 binary64) (*.f64 (log.f64 u1) #s(literal 2 binary64))))) (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal -2 binary64))) (*.f64 u2 u2))))
(fma.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 (-.f64 #s(literal 0 binary64) (log.f64 u1)) #s(literal 1/2 binary64))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal -2 binary64))) (*.f64 u2 u2))) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (-.f64 #s(literal 0 binary64) (*.f64 (log.f64 u1) #s(literal 2 binary64))))))
(fma.f64 (*.f64 u2 u2) (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal -2 binary64))) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (-.f64 #s(literal 0 binary64) (*.f64 (log.f64 u1) #s(literal 2 binary64)))))) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (-.f64 #s(literal 0 binary64) (*.f64 (log.f64 u1) #s(literal 2 binary64))))))
(fma.f64 (*.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal -2 binary64))) (*.f64 u2 u2)) (sqrt.f64 (-.f64 #s(literal 0 binary64) (*.f64 (log.f64 u1) #s(literal 2 binary64))))) #s(literal 1/6 binary64) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (-.f64 #s(literal 0 binary64) (*.f64 (log.f64 u1) #s(literal 2 binary64))))))
(fma.f64 (*.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal -2 binary64))) (*.f64 u2 u2)) #s(literal 1/6 binary64)) (sqrt.f64 (-.f64 #s(literal 0 binary64) (*.f64 (log.f64 u1) #s(literal 2 binary64)))) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (-.f64 #s(literal 0 binary64) (*.f64 (log.f64 u1) #s(literal 2 binary64))))))
(fma.f64 (*.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal -2 binary64))) (*.f64 u2 u2)) (*.f64 #s(literal 1/6 binary64) (pow.f64 (-.f64 #s(literal 0 binary64) (log.f64 u1)) #s(literal 1/2 binary64)))) (sqrt.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (-.f64 #s(literal 0 binary64) (*.f64 (log.f64 u1) #s(literal 2 binary64))))))
(fma.f64 (*.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal 2 binary64))) (pow.f64 (-.f64 #s(literal 0 binary64) (log.f64 u1)) #s(literal 1/2 binary64)) (*.f64 (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (-.f64 #s(literal 0 binary64) (*.f64 (log.f64 u1) #s(literal 2 binary64))))) (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal -2 binary64))) (*.f64 u2 u2))))
(fma.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (-.f64 #s(literal 0 binary64) (*.f64 (log.f64 u1) #s(literal 2 binary64))))) u2) (*.f64 u2 (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal -2 binary64)))) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (-.f64 #s(literal 0 binary64) (*.f64 (log.f64 u1) #s(literal 2 binary64))))))
(fma.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (-.f64 #s(literal 0 binary64) (*.f64 (log.f64 u1) #s(literal 2 binary64))))) (*.f64 u2 (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal -2 binary64))))) u2 (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (-.f64 #s(literal 0 binary64) (*.f64 (log.f64 u1) #s(literal 2 binary64))))))
(fma.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (-.f64 #s(literal 0 binary64) (*.f64 (log.f64 u1) #s(literal 2 binary64))))) (*.f64 u2 u2)) (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal -2 binary64))) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (-.f64 #s(literal 0 binary64) (*.f64 (log.f64 u1) #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (-.f64 #s(literal 0 binary64) (*.f64 (log.f64 u1) #s(literal 2 binary64))))) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (-.f64 #s(literal 0 binary64) (*.f64 (log.f64 u1) #s(literal 2 binary64))))) (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal -2 binary64))) (*.f64 u2 u2))) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (-.f64 #s(literal 0 binary64) (*.f64 (log.f64 u1) #s(literal 2 binary64))))) (*.f64 (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (-.f64 #s(literal 0 binary64) (*.f64 (log.f64 u1) #s(literal 2 binary64))))) (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal -2 binary64))) (*.f64 u2 u2)))))) (+.f64 (pow.f64 (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (-.f64 #s(literal 0 binary64) (*.f64 (log.f64 u1) #s(literal 2 binary64))))) #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (-.f64 #s(literal 0 binary64) (*.f64 (log.f64 u1) #s(literal 2 binary64))))) (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal -2 binary64))) (*.f64 u2 u2))) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (-.f64 #s(literal 0 binary64) (*.f64 (log.f64 u1) #s(literal 2 binary64))))) (*.f64 (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (-.f64 #s(literal 0 binary64) (*.f64 (log.f64 u1) #s(literal 2 binary64))))) (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal -2 binary64))) (*.f64 u2 u2)))) (-.f64 (pow.f64 (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (-.f64 #s(literal 0 binary64) (*.f64 (log.f64 u1) #s(literal 2 binary64))))) #s(literal 2 binary64)) (pow.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (-.f64 #s(literal 0 binary64) (*.f64 (log.f64 u1) #s(literal 2 binary64))))) (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal -2 binary64))) (*.f64 u2 u2))) #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal -2 binary64))) (*.f64 u2 u2)) (+.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal -2 binary64))) (*.f64 u2 u2)) #s(literal -1 binary64)))) (*.f64 (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (-.f64 #s(literal 0 binary64) (*.f64 (log.f64 u1) #s(literal 2 binary64))))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 u2 u2) (*.f64 (*.f64 u2 u2) (*.f64 u2 u2))) (*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (PI.f64)))) #s(literal -8 binary64)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal -2 binary64))) (*.f64 u2 u2))) (*.f64 (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (-.f64 #s(literal 0 binary64) (*.f64 (log.f64 u1) #s(literal 2 binary64))))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 u2 u2) (*.f64 u2 u2)) (*.f64 #s(literal 4 binary64) (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (PI.f64)))))))))
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(*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal -2 binary64))) u2)
(*.f64 (*.f64 u2 (*.f64 (PI.f64) (PI.f64))) #s(literal -2 binary64))
(*.f64 (*.f64 u2 (PI.f64)) (*.f64 (PI.f64) #s(literal -2 binary64)))
(*.f64 (*.f64 u2 #s(literal -2 binary64)) (*.f64 (PI.f64) (PI.f64)))
(exp.f64 (*.f64 (log.f64 (-.f64 #s(literal 0 binary64) (log.f64 u1))) #s(literal 1/2 binary64)))
(sqrt.f64 (-.f64 #s(literal 0 binary64) (log.f64 u1)))
(/.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 u1) #s(literal 3 binary64)))) (sqrt.f64 (+.f64 (pow.f64 (log.f64 u1) #s(literal 2 binary64)) #s(literal 0 binary64))))
(/.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 u1) #s(literal 2 binary64)))) (sqrt.f64 (log.f64 u1)))
(pow.f64 (-.f64 #s(literal 0 binary64) (log.f64 u1)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (-.f64 #s(literal 0 binary64) (log.f64 u1)) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 (-.f64 #s(literal 0 binary64) (log.f64 u1)) (-.f64 #s(literal 0 binary64) (log.f64 u1))) #s(literal 1/4 binary64))
(pow.f64 (exp.f64 (log.f64 (-.f64 #s(literal 0 binary64) (log.f64 u1)))) #s(literal 1/2 binary64))
(*.f64 (pow.f64 (-.f64 #s(literal 0 binary64) (log.f64 u1)) #s(literal 1/4 binary64)) (pow.f64 (-.f64 #s(literal 0 binary64) (log.f64 u1)) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 #s(literal -1 binary64) #s(literal 1/2 binary64)) (sqrt.f64 (log.f64 u1)))
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (log.f64 u1)))
(exp.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)))))
(exp.f64 (*.f64 #s(literal 4 binary64) (*.f64 (log.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal 1/8 binary64))))
(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 (exp.f64 #s(literal 1/2 binary64))) (log.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)))))
(exp.f64 (*.f64 (*.f64 (*.f64 (log.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal 1/8 binary64)) #s(literal 2 binary64)) #s(literal 2 binary64)))
(exp.f64 (+.f64 (*.f64 (*.f64 (log.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal 1/8 binary64)) #s(literal 2 binary64)) (*.f64 (*.f64 (log.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal 1/8 binary64)) #s(literal 2 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 1/8 binary64)) #s(literal 4 binary64))
(pow.f64 (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/16 binary64)) #s(literal 8 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))))
(pow.f64 (exp.f64 #s(literal 4 binary64)) (*.f64 (log.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 1/4 binary64)) (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/4 binary64)))
(*.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 (exp.f64 #s(literal 1/2 binary64)) (log.f64 (log.f64 u1))) (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (log.f64 #s(literal -2 binary64))))
(*.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (log.f64 #s(literal -2 binary64))) (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (log.f64 (log.f64 u1))))
(*.f64 (pow.f64 (pow.f64 (log.f64 u1) #s(literal 1/4 binary64)) #s(literal 2 binary64)) (pow.f64 (pow.f64 #s(literal -2 binary64) #s(literal 1/4 binary64)) #s(literal 2 binary64)))
(*.f64 (exp.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (log.f64 u1)))) (exp.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 #s(literal -2 binary64)))))
(*.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (/.f64 (log.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal 2 binary64))) (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (/.f64 (log.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal 2 binary64))))
(log.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)))
(+.f64 (log.f64 (log.f64 u1)) (log.f64 #s(literal -2 binary64)))
(+.f64 (log.f64 #s(literal -2 binary64)) (log.f64 (log.f64 u1)))
(-.f64 (/.f64 (pow.f64 (log.f64 (log.f64 u1)) #s(literal 2 binary64)) (log.f64 (/.f64 (log.f64 u1) #s(literal -2 binary64)))) (/.f64 (pow.f64 (log.f64 #s(literal -2 binary64)) #s(literal 2 binary64)) (log.f64 (/.f64 (log.f64 u1) #s(literal -2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (log.f64 (log.f64 u1)) #s(literal 2 binary64)) (-.f64 (pow.f64 (log.f64 #s(literal -2 binary64)) #s(literal 2 binary64)) (*.f64 (log.f64 (log.f64 u1)) (log.f64 #s(literal -2 binary64))))) (+.f64 (pow.f64 (log.f64 (log.f64 u1)) #s(literal 3 binary64)) (pow.f64 (log.f64 #s(literal -2 binary64)) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (log.f64 (/.f64 (log.f64 u1) #s(literal -2 binary64))) (-.f64 (pow.f64 (log.f64 (log.f64 u1)) #s(literal 2 binary64)) (pow.f64 (log.f64 #s(literal -2 binary64)) #s(literal 2 binary64)))))
(/.f64 (+.f64 (pow.f64 (log.f64 (log.f64 u1)) #s(literal 3 binary64)) (pow.f64 (log.f64 #s(literal -2 binary64)) #s(literal 3 binary64))) (+.f64 (pow.f64 (log.f64 (log.f64 u1)) #s(literal 2 binary64)) (-.f64 (pow.f64 (log.f64 #s(literal -2 binary64)) #s(literal 2 binary64)) (*.f64 (log.f64 (log.f64 u1)) (log.f64 #s(literal -2 binary64))))))
(/.f64 (-.f64 (pow.f64 (log.f64 (log.f64 u1)) #s(literal 2 binary64)) (pow.f64 (log.f64 #s(literal -2 binary64)) #s(literal 2 binary64))) (log.f64 (/.f64 (log.f64 u1) #s(literal -2 binary64))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (log.f64 (log.f64 u1)) #s(literal 3 binary64)) (pow.f64 (log.f64 #s(literal -2 binary64)) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (log.f64 (log.f64 u1)) #s(literal 2 binary64)) (-.f64 (pow.f64 (log.f64 #s(literal -2 binary64)) #s(literal 2 binary64)) (*.f64 (log.f64 (log.f64 u1)) (log.f64 #s(literal -2 binary64)))))))
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(/.f64 (-.f64 (pow.f64 (log.f64 #s(literal -2 binary64)) #s(literal 2 binary64)) (pow.f64 (log.f64 (log.f64 u1)) #s(literal 2 binary64))) (-.f64 (log.f64 #s(literal -2 binary64)) (log.f64 (log.f64 u1))))
(*.f64 (+.f64 (pow.f64 (log.f64 (log.f64 u1)) #s(literal 3 binary64)) (pow.f64 (log.f64 #s(literal -2 binary64)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (log.f64 (log.f64 u1)) #s(literal 2 binary64)) (-.f64 (pow.f64 (log.f64 #s(literal -2 binary64)) #s(literal 2 binary64)) (*.f64 (log.f64 (log.f64 u1)) (log.f64 #s(literal -2 binary64)))))))
(*.f64 (-.f64 (pow.f64 (log.f64 (log.f64 u1)) #s(literal 2 binary64)) (pow.f64 (log.f64 #s(literal -2 binary64)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (log.f64 (/.f64 (log.f64 u1) #s(literal -2 binary64)))))

simplify622.0ms (4.8%)

Memory
37.1MiB live, 1 101.6MiB allocated
Algorithm
1×egg-herbie
Rules
21 952×accelerator-lowering-fma.f32
21 952×accelerator-lowering-fma.f64
6 230×*-lowering-*.f32
6 230×*-lowering-*.f64
2 860×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01133776
12723700
27793696
327823612
440933612
579033612
080543452
Stop Event
1×iter limit
1×node limit
Counts
312 → 312
Calls
Call 1
Inputs
(* 1/6 (* (sqrt (log u1)) (* (sqrt -1) (* (sqrt 2) (+ 1 (* -2 (* (pow u2 2) (pow (PI) 2))))))))
(* 1/6 (* (sqrt (log u1)) (* (sqrt -1) (* (sqrt 2) (+ 1 (* -2 (* (pow u2 2) (pow (PI) 2))))))))
(* 1/6 (* (sqrt (log u1)) (* (sqrt -1) (* (sqrt 2) (+ 1 (* -2 (* (pow u2 2) (pow (PI) 2))))))))
(* 1/6 (* (sqrt (log u1)) (* (sqrt -1) (* (sqrt 2) (+ 1 (* -2 (* (pow u2 2) (pow (PI) 2))))))))
(* 1/6 (* (sqrt (log (/ 1 u1))) (* (sqrt 2) (+ 1 (* -2 (* (pow u2 2) (pow (PI) 2)))))))
(* 1/6 (* (sqrt (log (/ 1 u1))) (* (sqrt 2) (+ 1 (* -2 (* (pow u2 2) (pow (PI) 2)))))))
(* 1/6 (* (sqrt (log (/ 1 u1))) (* (sqrt 2) (+ 1 (* -2 (* (pow u2 2) (pow (PI) 2)))))))
(* 1/6 (* (sqrt (log (/ 1 u1))) (* (sqrt 2) (+ 1 (* -2 (* (pow u2 2) (pow (PI) 2)))))))
(* 1/6 (* (* (sqrt 2) (+ 1 (* -2 (* (pow u2 2) (pow (PI) 2))))) (sqrt (+ (log -1) (log (/ -1 u1))))))
(* 1/6 (* (* (sqrt 2) (+ 1 (* -2 (* (pow u2 2) (pow (PI) 2))))) (sqrt (+ (log -1) (log (/ -1 u1))))))
(* 1/6 (* (* (sqrt 2) (+ 1 (* -2 (* (pow u2 2) (pow (PI) 2))))) (sqrt (+ (log -1) (log (/ -1 u1))))))
(* 1/6 (* (* (sqrt 2) (+ 1 (* -2 (* (pow u2 2) (pow (PI) 2))))) (sqrt (+ (log -1) (log (/ -1 u1))))))
(* 1/6 (* (sqrt (log (/ 1 u1))) (sqrt 2)))
(+ (* -1/3 (* (* (pow u2 2) (* (pow (PI) 2) (sqrt 2))) (sqrt (log (/ 1 u1))))) (* 1/6 (* (sqrt (log (/ 1 u1))) (sqrt 2))))
(+ (* -1/3 (* (* (pow u2 2) (* (pow (PI) 2) (sqrt 2))) (sqrt (log (/ 1 u1))))) (* 1/6 (* (sqrt (log (/ 1 u1))) (sqrt 2))))
(+ (* -1/3 (* (* (pow u2 2) (* (pow (PI) 2) (sqrt 2))) (sqrt (log (/ 1 u1))))) (* 1/6 (* (sqrt (log (/ 1 u1))) (sqrt 2))))
(* -1/3 (* (* (pow u2 2) (* (pow (PI) 2) (sqrt 2))) (sqrt (log (/ 1 u1)))))
(* (pow u2 2) (+ (* -1/3 (* (* (pow (PI) 2) (sqrt 2)) (sqrt (log (/ 1 u1))))) (* 1/6 (* (/ (sqrt 2) (pow u2 2)) (sqrt (log (/ 1 u1)))))))
(* (pow u2 2) (+ (* -1/3 (* (* (pow (PI) 2) (sqrt 2)) (sqrt (log (/ 1 u1))))) (* 1/6 (* (/ (sqrt 2) (pow u2 2)) (sqrt (log (/ 1 u1)))))))
(* (pow u2 2) (+ (* -1/3 (* (* (pow (PI) 2) (sqrt 2)) (sqrt (log (/ 1 u1))))) (* 1/6 (* (/ (sqrt 2) (pow u2 2)) (sqrt (log (/ 1 u1)))))))
(* -1/3 (* (* (pow u2 2) (* (pow (PI) 2) (sqrt 2))) (sqrt (log (/ 1 u1)))))
(* (pow u2 2) (+ (* -1/3 (* (* (pow (PI) 2) (sqrt 2)) (sqrt (log (/ 1 u1))))) (* 1/6 (* (/ (sqrt 2) (pow u2 2)) (sqrt (log (/ 1 u1)))))))
(* (pow u2 2) (+ (* -1/3 (* (* (pow (PI) 2) (sqrt 2)) (sqrt (log (/ 1 u1))))) (* 1/6 (* (/ (sqrt 2) (pow u2 2)) (sqrt (log (/ 1 u1)))))))
(* (pow u2 2) (+ (* -1/3 (* (* (pow (PI) 2) (sqrt 2)) (sqrt (log (/ 1 u1))))) (* 1/6 (* (/ (sqrt 2) (pow u2 2)) (sqrt (log (/ 1 u1)))))))
(+ 1/2 (* 1/6 (* (sqrt (log u1)) (* (sqrt -1) (* (sqrt 2) (+ 1 (* -2 (* (pow u2 2) (pow (PI) 2)))))))))
(+ 1/2 (* 1/6 (* (sqrt (log u1)) (* (sqrt -1) (* (sqrt 2) (+ 1 (* -2 (* (pow u2 2) (pow (PI) 2)))))))))
(+ 1/2 (* 1/6 (* (sqrt (log u1)) (* (sqrt -1) (* (sqrt 2) (+ 1 (* -2 (* (pow u2 2) (pow (PI) 2)))))))))
(+ 1/2 (* 1/6 (* (sqrt (log u1)) (* (sqrt -1) (* (sqrt 2) (+ 1 (* -2 (* (pow u2 2) (pow (PI) 2)))))))))
(+ 1/2 (* 1/6 (* (sqrt (log (/ 1 u1))) (* (sqrt 2) (+ 1 (* -2 (* (pow u2 2) (pow (PI) 2))))))))
(+ 1/2 (* 1/6 (* (sqrt (log (/ 1 u1))) (* (sqrt 2) (+ 1 (* -2 (* (pow u2 2) (pow (PI) 2))))))))
(+ 1/2 (* 1/6 (* (sqrt (log (/ 1 u1))) (* (sqrt 2) (+ 1 (* -2 (* (pow u2 2) (pow (PI) 2))))))))
(+ 1/2 (* 1/6 (* (sqrt (log (/ 1 u1))) (* (sqrt 2) (+ 1 (* -2 (* (pow u2 2) (pow (PI) 2))))))))
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(* (pow u2 2) (+ (* -1/3 (* (* (pow (PI) 2) (sqrt 2)) (sqrt (log (/ 1 u1))))) (+ (* 1/6 (* (/ (sqrt 2) (pow u2 2)) (sqrt (log (/ 1 u1))))) (* 1/2 (/ 1 (pow u2 2))))))
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(* (pow u2 2) (+ (* -1/3 (* (* (pow (PI) 2) (sqrt 2)) (sqrt (log (/ 1 u1))))) (+ (* 1/6 (* (/ (sqrt 2) (pow u2 2)) (sqrt (log (/ 1 u1))))) (* 1/2 (/ 1 (pow u2 2))))))
(* (pow u2 2) (+ (* -1/3 (* (* (pow (PI) 2) (sqrt 2)) (sqrt (log (/ 1 u1))))) (+ (* 1/6 (* (/ (sqrt 2) (pow u2 2)) (sqrt (log (/ 1 u1))))) (* 1/2 (/ 1 (pow u2 2))))))
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(* (sqrt (log (/ 1 u1))) (sqrt 2))
(* (sqrt (log (/ 1 u1))) (sqrt 2))
(* (sqrt (log (/ 1 u1))) (sqrt 2))
(* (sqrt (log (/ 1 u1))) (sqrt 2))
(* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))
(* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))
(* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))
(* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))
(+ 1/2 (* 1/6 (* (sqrt (log u1)) (sqrt -2))))
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(+ 1/2 (* 1/6 (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1)))))
(+ 1/2 (* 1/6 (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1)))))
(+ 1/2 (* 1/6 (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1)))))
(+ 1/2 (* 1/6 (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1)))))
(+ 1/2 (* 1/6 (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))))
(+ 1/2 (* 1/6 (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))))
(+ 1/2 (* 1/6 (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))))
(+ 1/2 (* 1/6 (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))))
(* 1/6 (* (sqrt (log u1)) (sqrt -2)))
(* 1/6 (* (sqrt (log u1)) (sqrt -2)))
(* 1/6 (* (sqrt (log u1)) (sqrt -2)))
(* 1/6 (* (sqrt (log u1)) (sqrt -2)))
(* 1/6 (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1))))
(* 1/6 (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1))))
(* 1/6 (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1))))
(* 1/6 (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1))))
(* 1/6 (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))))
(* 1/6 (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))))
(* 1/6 (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))))
(* 1/6 (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))))
(* 1/2 (log (* -2 (log u1))))
(* 1/2 (log (* -2 (log u1))))
(* 1/2 (log (* -2 (log u1))))
(* 1/2 (log (* -2 (log u1))))
(* 1/2 (log (* 2 (log (/ 1 u1)))))
(* 1/2 (log (* 2 (log (/ 1 u1)))))
(* 1/2 (log (* 2 (log (/ 1 u1)))))
(* 1/2 (log (* 2 (log (/ 1 u1)))))
(* 1/2 (log (* -2 (+ (log -1) (* -1 (log (/ -1 u1)))))))
(* 1/2 (log (* -2 (+ (log -1) (* -1 (log (/ -1 u1)))))))
(* 1/2 (log (* -2 (+ (log -1) (* -1 (log (/ -1 u1)))))))
(* 1/2 (log (* -2 (+ (log -1) (* -1 (log (/ -1 u1)))))))
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(+ 1/2 (* 1/6 (* (sqrt (log u1)) (sqrt -2))))
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(+ 1/2 (* 1/6 (* (sqrt (log u1)) (sqrt -2))))
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(+ 1/2 (* 1/6 (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1)))))
(+ 1/2 (* 1/6 (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1)))))
(+ 1/2 (* 1/6 (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))))
(+ 1/2 (* 1/6 (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))))
(+ 1/2 (* 1/6 (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))))
(+ 1/2 (* 1/6 (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))))
(* 1/6 (* (sqrt (log u1)) (sqrt -2)))
(* 1/6 (* (sqrt (log u1)) (sqrt -2)))
(* 1/6 (* (sqrt (log u1)) (sqrt -2)))
(* 1/6 (* (sqrt (log u1)) (sqrt -2)))
(* 1/6 (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1))))
(* 1/6 (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1))))
(* 1/6 (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1))))
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(* 1/6 (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))))
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(* 1/6 (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))))
(* 1/6 (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))))
(* (sqrt (log u1)) (sqrt -2))
(* (sqrt (log u1)) (sqrt -2))
(* (sqrt (log u1)) (sqrt -2))
(* (sqrt (log u1)) (sqrt -2))
(* (sqrt (log (/ 1 u1))) (sqrt 2))
(* (sqrt (log (/ 1 u1))) (sqrt 2))
(* (sqrt (log (/ 1 u1))) (sqrt 2))
(* (sqrt (log (/ 1 u1))) (sqrt 2))
(* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))
(* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))
(* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))
(* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))
(pow (* -2 (log u1)) 1/8)
(pow (* -2 (log u1)) 1/8)
(pow (* -2 (log u1)) 1/8)
(pow (* -2 (log u1)) 1/8)
(pow (* 2 (log (/ 1 u1))) 1/8)
(pow (* 2 (log (/ 1 u1))) 1/8)
(pow (* 2 (log (/ 1 u1))) 1/8)
(pow (* 2 (log (/ 1 u1))) 1/8)
(pow (* -2 (+ (log -1) (* -1 (log (/ -1 u1))))) 1/8)
(pow (* -2 (+ (log -1) (* -1 (log (/ -1 u1))))) 1/8)
(pow (* -2 (+ (log -1) (* -1 (log (/ -1 u1))))) 1/8)
(pow (* -2 (+ (log -1) (* -1 (log (/ -1 u1))))) 1/8)
(/ (+ 1/4 (* 1/18 (log u1))) (- 1/2 (* 1/6 (* (sqrt (log u1)) (sqrt -2)))))
(/ (+ 1/4 (* 1/18 (log u1))) (- 1/2 (* 1/6 (* (sqrt (log u1)) (sqrt -2)))))
(/ (+ 1/4 (* 1/18 (log u1))) (- 1/2 (* 1/6 (* (sqrt (log u1)) (sqrt -2)))))
(/ (+ 1/4 (* 1/18 (log u1))) (- 1/2 (* 1/6 (* (sqrt (log u1)) (sqrt -2)))))
(/ (+ 1/4 (* -1/18 (log (/ 1 u1)))) (- 1/2 (* 1/6 (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1))))))
(/ (+ 1/4 (* -1/18 (log (/ 1 u1)))) (- 1/2 (* 1/6 (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1))))))
(/ (+ 1/4 (* -1/18 (log (/ 1 u1)))) (- 1/2 (* 1/6 (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1))))))
(/ (+ 1/4 (* -1/18 (log (/ 1 u1)))) (- 1/2 (* 1/6 (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1))))))
(/ (+ 1/4 (* 1/18 (+ (log -1) (* -1 (log (/ -1 u1)))))) (- 1/2 (* 1/6 (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))))))
(/ (+ 1/4 (* 1/18 (+ (log -1) (* -1 (log (/ -1 u1)))))) (- 1/2 (* 1/6 (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))))))
(/ (+ 1/4 (* 1/18 (+ (log -1) (* -1 (log (/ -1 u1)))))) (- 1/2 (* 1/6 (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))))))
(/ (+ 1/4 (* 1/18 (+ (log -1) (* -1 (log (/ -1 u1)))))) (- 1/2 (* 1/6 (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))))))
(+ 1/4 (* 1/18 (log u1)))
(+ 1/4 (* 1/18 (log u1)))
(+ 1/4 (* 1/18 (log u1)))
(+ 1/4 (* 1/18 (log u1)))
(+ 1/4 (* -1/18 (log (/ 1 u1))))
(+ 1/4 (* -1/18 (log (/ 1 u1))))
(+ 1/4 (* -1/18 (log (/ 1 u1))))
(+ 1/4 (* -1/18 (log (/ 1 u1))))
(+ 1/4 (* 1/18 (+ (log -1) (* -1 (log (/ -1 u1))))))
(+ 1/4 (* 1/18 (+ (log -1) (* -1 (log (/ -1 u1))))))
(+ 1/4 (* 1/18 (+ (log -1) (* -1 (log (/ -1 u1))))))
(+ 1/4 (* 1/18 (+ (log -1) (* -1 (log (/ -1 u1))))))
(* 1/18 (log u1))
(* 1/18 (log u1))
(* 1/18 (log u1))
(* 1/18 (log u1))
(* -1/18 (log (/ 1 u1)))
(* -1/18 (log (/ 1 u1)))
(* -1/18 (log (/ 1 u1)))
(* -1/18 (log (/ 1 u1)))
(* 1/18 (+ (log -1) (* -1 (log (/ -1 u1)))))
(* 1/18 (+ (log -1) (* -1 (log (/ -1 u1)))))
(* 1/18 (+ (log -1) (* -1 (log (/ -1 u1)))))
(* 1/18 (+ (log -1) (* -1 (log (/ -1 u1)))))
(log u1)
(log u1)
(log u1)
(log u1)
(* -1 (log (/ 1 u1)))
(* -1 (log (/ 1 u1)))
(* -1 (log (/ 1 u1)))
(* -1 (log (/ 1 u1)))
(+ (log -1) (* -1 (log (/ -1 u1))))
(+ (log -1) (* -1 (log (/ -1 u1))))
(+ (log -1) (* -1 (log (/ -1 u1))))
(+ (log -1) (* -1 (log (/ -1 u1))))
(* (sqrt (log u1)) (* (sqrt -1) (sqrt 2)))
(* (sqrt (log u1)) (* (sqrt -1) (sqrt 2)))
(* (sqrt (log u1)) (* (sqrt -1) (sqrt 2)))
(* (sqrt (log u1)) (* (sqrt -1) (sqrt 2)))
(* (sqrt (log (/ 1 u1))) (sqrt 2))
(* (sqrt (log (/ 1 u1))) (sqrt 2))
(* (sqrt (log (/ 1 u1))) (sqrt 2))
(* (sqrt (log (/ 1 u1))) (sqrt 2))
(* (sqrt 2) (sqrt (+ (log -1) (log (/ -1 u1)))))
(* (sqrt 2) (sqrt (+ (log -1) (log (/ -1 u1)))))
(* (sqrt 2) (sqrt (+ (log -1) (log (/ -1 u1)))))
(* (sqrt 2) (sqrt (+ (log -1) (log (/ -1 u1)))))
(* -2 (* u2 (pow (PI) 2)))
(* -2 (* u2 (pow (PI) 2)))
(* -2 (* u2 (pow (PI) 2)))
(* -2 (* u2 (pow (PI) 2)))
(* -2 (* u2 (pow (PI) 2)))
(* -2 (* u2 (pow (PI) 2)))
(* -2 (* u2 (pow (PI) 2)))
(* -2 (* u2 (pow (PI) 2)))
(* -2 (* u2 (pow (PI) 2)))
(* -2 (* u2 (pow (PI) 2)))
(* -2 (* u2 (pow (PI) 2)))
(* -2 (* u2 (pow (PI) 2)))
(* (sqrt (log u1)) (sqrt -1))
(* (sqrt (log u1)) (sqrt -1))
(* (sqrt (log u1)) (sqrt -1))
(* (sqrt (log u1)) (sqrt -1))
(sqrt (log (/ 1 u1)))
(sqrt (log (/ 1 u1)))
(sqrt (log (/ 1 u1)))
(sqrt (log (/ 1 u1)))
(sqrt (+ (log -1) (log (/ -1 u1))))
(sqrt (+ (log -1) (log (/ -1 u1))))
(sqrt (+ (log -1) (log (/ -1 u1))))
(sqrt (+ (log -1) (log (/ -1 u1))))
(* (sqrt (log u1)) (sqrt -2))
(* (sqrt (log u1)) (sqrt -2))
(* (sqrt (log u1)) (sqrt -2))
(* (sqrt (log u1)) (sqrt -2))
(* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1)))
(* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1)))
(* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1)))
(* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1)))
(* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))
(* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))
(* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))
(* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))
(log (* -2 (log u1)))
(log (* -2 (log u1)))
(log (* -2 (log u1)))
(log (* -2 (log u1)))
(log (* 2 (log (/ 1 u1))))
(log (* 2 (log (/ 1 u1))))
(log (* 2 (log (/ 1 u1))))
(log (* 2 (log (/ 1 u1))))
(log (* -2 (+ (log -1) (* -1 (log (/ -1 u1))))))
(log (* -2 (+ (log -1) (* -1 (log (/ -1 u1))))))
(log (* -2 (+ (log -1) (* -1 (log (/ -1 u1))))))
(log (* -2 (+ (log -1) (* -1 (log (/ -1 u1))))))
Outputs
(* 1/6 (* (sqrt (log u1)) (* (sqrt -1) (* (sqrt 2) (+ 1 (* -2 (* (pow u2 2) (pow (PI) 2))))))))
(*.f64 (*.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 #s(literal -1 binary64))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal -1/3 binary64)) (*.f64 u2 u2)))))
(* 1/6 (* (sqrt (log u1)) (* (sqrt -1) (* (sqrt 2) (+ 1 (* -2 (* (pow u2 2) (pow (PI) 2))))))))
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(* 1/6 (* (sqrt (log u1)) (* (sqrt -1) (* (sqrt 2) (+ 1 (* -2 (* (pow u2 2) (pow (PI) 2))))))))
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(* 1/6 (* (* (sqrt 2) (+ 1 (* -2 (* (pow u2 2) (pow (PI) 2))))) (sqrt (+ (log -1) (log (/ -1 u1))))))
(*.f64 (sqrt.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) u1)))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal -1/3 binary64)) (*.f64 u2 u2)))))
(* 1/6 (* (* (sqrt 2) (+ 1 (* -2 (* (pow u2 2) (pow (PI) 2))))) (sqrt (+ (log -1) (log (/ -1 u1))))))
(*.f64 (sqrt.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) u1)))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal -1/3 binary64)) (*.f64 u2 u2)))))
(* 1/6 (* (* (sqrt 2) (+ 1 (* -2 (* (pow u2 2) (pow (PI) 2))))) (sqrt (+ (log -1) (log (/ -1 u1))))))
(*.f64 (sqrt.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) u1)))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal -1/3 binary64)) (*.f64 u2 u2)))))
(* 1/6 (* (* (sqrt 2) (+ 1 (* -2 (* (pow u2 2) (pow (PI) 2))))) (sqrt (+ (log -1) (log (/ -1 u1))))))
(*.f64 (sqrt.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) u1)))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal -1/3 binary64)) (*.f64 u2 u2)))))
(* 1/6 (* (sqrt (log (/ 1 u1))) (sqrt 2)))
(*.f64 (sqrt.f64 (log.f64 (/.f64 #s(literal 1 binary64) u1))) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal 2 binary64))))
(+ (* -1/3 (* (* (pow u2 2) (* (pow (PI) 2) (sqrt 2))) (sqrt (log (/ 1 u1))))) (* 1/6 (* (sqrt (log (/ 1 u1))) (sqrt 2))))
(*.f64 (sqrt.f64 (log.f64 (/.f64 #s(literal 1 binary64) u1))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal -1/3 binary64)) (*.f64 u2 u2)))))
(+ (* -1/3 (* (* (pow u2 2) (* (pow (PI) 2) (sqrt 2))) (sqrt (log (/ 1 u1))))) (* 1/6 (* (sqrt (log (/ 1 u1))) (sqrt 2))))
(*.f64 (sqrt.f64 (log.f64 (/.f64 #s(literal 1 binary64) u1))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal -1/3 binary64)) (*.f64 u2 u2)))))
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(* (pow u2 2) (+ (* -1/3 (* (* (pow (PI) 2) (sqrt 2)) (sqrt (log (/ 1 u1))))) (* 1/6 (* (/ (sqrt 2) (pow u2 2)) (sqrt (log (/ 1 u1)))))))
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(* (pow u2 2) (+ (* -1/3 (* (* (pow (PI) 2) (sqrt 2)) (sqrt (log (/ 1 u1))))) (* 1/6 (* (/ (sqrt 2) (pow u2 2)) (sqrt (log (/ 1 u1)))))))
(*.f64 (sqrt.f64 (log.f64 (/.f64 #s(literal 1 binary64) u1))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal -1/3 binary64)) (*.f64 u2 u2)))))
(* (pow u2 2) (+ (* -1/3 (* (* (pow (PI) 2) (sqrt 2)) (sqrt (log (/ 1 u1))))) (* 1/6 (* (/ (sqrt 2) (pow u2 2)) (sqrt (log (/ 1 u1)))))))
(*.f64 (sqrt.f64 (log.f64 (/.f64 #s(literal 1 binary64) u1))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal -1/3 binary64)) (*.f64 u2 u2)))))
(* -1/3 (* (* (pow u2 2) (* (pow (PI) 2) (sqrt 2))) (sqrt (log (/ 1 u1)))))
(*.f64 (sqrt.f64 (log.f64 (/.f64 #s(literal 1 binary64) u1))) (*.f64 (*.f64 u2 u2) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal -1/3 binary64)))))
(* (pow u2 2) (+ (* -1/3 (* (* (pow (PI) 2) (sqrt 2)) (sqrt (log (/ 1 u1))))) (* 1/6 (* (/ (sqrt 2) (pow u2 2)) (sqrt (log (/ 1 u1)))))))
(*.f64 (sqrt.f64 (log.f64 (/.f64 #s(literal 1 binary64) u1))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal -1/3 binary64)) (*.f64 u2 u2)))))
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(* -2 (* u2 (pow (PI) 2)))
(*.f64 #s(literal -2 binary64) (*.f64 u2 (*.f64 (PI.f64) (PI.f64))))
(* -2 (* u2 (pow (PI) 2)))
(*.f64 #s(literal -2 binary64) (*.f64 u2 (*.f64 (PI.f64) (PI.f64))))
(* -2 (* u2 (pow (PI) 2)))
(*.f64 #s(literal -2 binary64) (*.f64 u2 (*.f64 (PI.f64) (PI.f64))))
(* -2 (* u2 (pow (PI) 2)))
(*.f64 #s(literal -2 binary64) (*.f64 u2 (*.f64 (PI.f64) (PI.f64))))
(* -2 (* u2 (pow (PI) 2)))
(*.f64 #s(literal -2 binary64) (*.f64 u2 (*.f64 (PI.f64) (PI.f64))))
(* -2 (* u2 (pow (PI) 2)))
(*.f64 #s(literal -2 binary64) (*.f64 u2 (*.f64 (PI.f64) (PI.f64))))
(* -2 (* u2 (pow (PI) 2)))
(*.f64 #s(literal -2 binary64) (*.f64 u2 (*.f64 (PI.f64) (PI.f64))))
(* -2 (* u2 (pow (PI) 2)))
(*.f64 #s(literal -2 binary64) (*.f64 u2 (*.f64 (PI.f64) (PI.f64))))
(* -2 (* u2 (pow (PI) 2)))
(*.f64 #s(literal -2 binary64) (*.f64 u2 (*.f64 (PI.f64) (PI.f64))))
(* -2 (* u2 (pow (PI) 2)))
(*.f64 #s(literal -2 binary64) (*.f64 u2 (*.f64 (PI.f64) (PI.f64))))
(* -2 (* u2 (pow (PI) 2)))
(*.f64 #s(literal -2 binary64) (*.f64 u2 (*.f64 (PI.f64) (PI.f64))))
(* -2 (* u2 (pow (PI) 2)))
(*.f64 #s(literal -2 binary64) (*.f64 u2 (*.f64 (PI.f64) (PI.f64))))
(* (sqrt (log u1)) (sqrt -1))
(*.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 #s(literal -1 binary64)))
(* (sqrt (log u1)) (sqrt -1))
(*.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 #s(literal -1 binary64)))
(* (sqrt (log u1)) (sqrt -1))
(*.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 #s(literal -1 binary64)))
(* (sqrt (log u1)) (sqrt -1))
(*.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 #s(literal -1 binary64)))
(sqrt (log (/ 1 u1)))
(sqrt.f64 (log.f64 (/.f64 #s(literal 1 binary64) u1)))
(sqrt (log (/ 1 u1)))
(sqrt.f64 (log.f64 (/.f64 #s(literal 1 binary64) u1)))
(sqrt (log (/ 1 u1)))
(sqrt.f64 (log.f64 (/.f64 #s(literal 1 binary64) u1)))
(sqrt (log (/ 1 u1)))
(sqrt.f64 (log.f64 (/.f64 #s(literal 1 binary64) u1)))
(sqrt (+ (log -1) (log (/ -1 u1))))
(sqrt.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) u1))))
(sqrt (+ (log -1) (log (/ -1 u1))))
(sqrt.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) u1))))
(sqrt (+ (log -1) (log (/ -1 u1))))
(sqrt.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) u1))))
(sqrt (+ (log -1) (log (/ -1 u1))))
(sqrt.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) u1))))
(* (sqrt (log u1)) (sqrt -2))
(*.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 #s(literal -2 binary64)))
(* (sqrt (log u1)) (sqrt -2))
(*.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 #s(literal -2 binary64)))
(* (sqrt (log u1)) (sqrt -2))
(*.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 #s(literal -2 binary64)))
(* (sqrt (log u1)) (sqrt -2))
(*.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 #s(literal -2 binary64)))
(* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1)))
(*.f64 (sqrt.f64 (log.f64 (/.f64 #s(literal 1 binary64) u1))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -2 binary64))))
(* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1)))
(*.f64 (sqrt.f64 (log.f64 (/.f64 #s(literal 1 binary64) u1))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -2 binary64))))
(* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1)))
(*.f64 (sqrt.f64 (log.f64 (/.f64 #s(literal 1 binary64) u1))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -2 binary64))))
(* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1)))
(*.f64 (sqrt.f64 (log.f64 (/.f64 #s(literal 1 binary64) u1))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -2 binary64))))
(* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))
(*.f64 (sqrt.f64 #s(literal -2 binary64)) (sqrt.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) u1)))))
(* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))
(*.f64 (sqrt.f64 #s(literal -2 binary64)) (sqrt.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) u1)))))
(* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))
(*.f64 (sqrt.f64 #s(literal -2 binary64)) (sqrt.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) u1)))))
(* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))
(*.f64 (sqrt.f64 #s(literal -2 binary64)) (sqrt.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) u1)))))
(log (* -2 (log u1)))
(log.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)))
(log (* -2 (log u1)))
(log.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)))
(log (* -2 (log u1)))
(log.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)))
(log (* -2 (log u1)))
(log.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)))
(log (* 2 (log (/ 1 u1))))
(log.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)))
(log (* 2 (log (/ 1 u1))))
(log.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)))
(log (* 2 (log (/ 1 u1))))
(log.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)))
(log (* 2 (log (/ 1 u1))))
(log.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)))
(log (* -2 (+ (log -1) (* -1 (log (/ -1 u1))))))
(log.f64 (*.f64 #s(literal -2 binary64) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) u1)))))
(log (* -2 (+ (log -1) (* -1 (log (/ -1 u1))))))
(log.f64 (*.f64 #s(literal -2 binary64) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) u1)))))
(log (* -2 (+ (log -1) (* -1 (log (/ -1 u1))))))
(log.f64 (*.f64 #s(literal -2 binary64) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) u1)))))
(log (* -2 (+ (log -1) (* -1 (log (/ -1 u1))))))
(log.f64 (*.f64 #s(literal -2 binary64) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) u1)))))

eval323.0ms (2.5%)

Memory
13.7MiB live, 313.7MiB allocated
Compiler

Compiled 30 749 to 2 292 computations (92.5% saved)

prune182.0ms (1.4%)

Memory
-41.8MiB live, 290.5MiB allocated
Pruning

15 alts after pruning (9 fresh and 6 done)

PrunedKeptTotal
New1 22251 227
Fresh246
Picked145
Done123
Total1 226151 241
Accuracy
100.0%
Counts
1 241 → 15
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓98.8%
(/.f64 (+.f64 #s(literal 1/4 binary64) (*.f64 (log.f64 u1) #s(literal 1/18 binary64))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))))))
98.7%
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))))) (+.f64 #s(literal 1/4 binary64) (*.f64 (log.f64 u1) #s(literal 1/18 binary64)))))
✓98.9%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)))) #s(literal 1/2 binary64))))
98.7%
(/.f64 #s(literal 1 binary64) (exp.f64 (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)))))))))
99.2%
(-.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 u2 (*.f64 u2 (*.f64 #s(literal -2 binary64) (*.f64 (PI.f64) (PI.f64)))))) (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))))) #s(literal -1/2 binary64))
✓99.4%
(-.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))) (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))))) #s(literal -1/2 binary64))
99.2%
(+.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 u2 u2) (*.f64 u2 u2)) (*.f64 #s(literal 4 binary64) (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (PI.f64)))))) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (-.f64 #s(literal 0 binary64) (*.f64 (log.f64 u1) #s(literal 2 binary64)))))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal -2 binary64))) (*.f64 u2 u2)))) #s(literal 1/2 binary64))
99.1%
(+.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal -2 binary64))) (*.f64 u2 u2))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 u2 u2) (*.f64 u2 u2)) (*.f64 #s(literal 4 binary64) (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (PI.f64)))))) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (-.f64 #s(literal 0 binary64) (*.f64 (log.f64 u1) #s(literal 2 binary64)))))))) #s(literal 1/2 binary64))
98.7%
(+.f64 (*.f64 (pow.f64 (pow.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)) #s(literal 1/4 binary64)) #s(literal 2 binary64)) #s(literal 1/6 binary64)) #s(literal 1/2 binary64))
✓98.1%
(+.f64 (*.f64 (pow.f64 (pow.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)) #s(literal 1/8 binary64)) #s(literal 4 binary64)) #s(literal 1/6 binary64)) #s(literal 1/2 binary64))
97.5%
(+.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)) #s(literal 1/2 binary64))
98.4%
(+.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)) #s(literal 1/2 binary64))
99.1%
(+.f64 (*.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (log.f64 u1))) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 1/2 binary64))
✓98.9%
(+.f64 (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal 1/6 binary64)) #s(literal 1/2 binary64))
✓98.5%
(+.f64 (*.f64 (exp.f64 (*.f64 (log.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal 1/2 binary64))) #s(literal 1/6 binary64)) #s(literal 1/2 binary64))
Compiler

Compiled 1 308 to 476 computations (63.6% saved)

regimes195.0ms (1.5%)

Memory
42.2MiB live, 279.4MiB allocated
Counts
43 → 1
Calls
Call 1
Inputs
(+.f64 (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal 1/6 binary64)) #s(literal 1/2 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)))) #s(literal 1/2 binary64))))
(-.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 u2 (*.f64 u2 (*.f64 #s(literal -2 binary64) (*.f64 (PI.f64) (PI.f64)))))) (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))))) #s(literal -1/2 binary64))
(+.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 u2 u2) (*.f64 u2 u2)) (*.f64 #s(literal 4 binary64) (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (PI.f64)))))) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (-.f64 #s(literal 0 binary64) (*.f64 (log.f64 u1) #s(literal 2 binary64)))))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal -2 binary64))) (*.f64 u2 u2)))) #s(literal 1/2 binary64))
(+.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal -2 binary64))) (*.f64 u2 u2))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 u2 u2) (*.f64 u2 u2)) (*.f64 #s(literal 4 binary64) (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (PI.f64)))))) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (-.f64 #s(literal 0 binary64) (*.f64 (log.f64 u1) #s(literal 2 binary64)))))))) #s(literal 1/2 binary64))
(+.f64 (*.f64 (sqrt.f64 (log.f64 u1)) (*.f64 (sqrt.f64 #s(literal -2 binary64)) #s(literal 1/6 binary64))) #s(literal 1/2 binary64))
(+.f64 (*.f64 (exp.f64 (*.f64 (log.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal 1/2 binary64))) #s(literal 1/6 binary64)) #s(literal 1/2 binary64))
(+.f64 (*.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (log.f64 u1))) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 1/2 binary64))
(+.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)) #s(literal 1/2 binary64))
(+.f64 (*.f64 (pow.f64 (pow.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)) #s(literal 1/8 binary64)) #s(literal 4 binary64)) #s(literal 1/6 binary64)) #s(literal 1/2 binary64))
(+.f64 (*.f64 (pow.f64 (pow.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)) #s(literal 1/4 binary64)) #s(literal 2 binary64)) #s(literal 1/6 binary64)) #s(literal 1/2 binary64))
(+.f64 (*.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)) #s(literal 1/2 binary64))
(+.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) (*.f64 (sqrt.f64 (log.f64 (/.f64 #s(literal 1 binary64) u1))) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 1 binary64)) #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))) #s(literal 1 binary64)) #s(literal 1/2 binary64))
(-.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))) (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))))) #s(literal -1/2 binary64))
(/.f64 (+.f64 #s(literal 1/4 binary64) (*.f64 (log.f64 u1) #s(literal 1/18 binary64))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))))) (+.f64 #s(literal 1/4 binary64) (*.f64 (log.f64 u1) #s(literal 1/18 binary64)))))
(/.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/36 binary64) (*.f64 (log.f64 u1) #s(literal -2 binary64)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -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))
(*.f64 (+.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal -1/4 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)))) #s(literal -1/2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 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 binary64) (/.f64 (+.f64 (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)))) #s(literal -1/2 binary64)) (+.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal -1/4 binary64))))
(+.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) (*.f64 (sqrt.f64 (log.f64 (/.f64 #s(literal 1 binary64) u1))) (sqrt.f64 #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 u2 (*.f64 u2 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal -2 binary64)))))) #s(literal 1/2 binary64))
(+.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)) #s(literal 1/2 binary64))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))))))) #s(literal -1 binary64)))
(/.f64 #s(literal 1 binary64) (exp.f64 (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)))))))))
(+.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)) #s(literal 1/8 binary64))) (pow.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)) #s(literal 3/8 binary64))) #s(literal 1/2 binary64))
(+.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) (pow.f64 (pow.f64 (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal 1/2 binary64)) #s(literal 2 binary64))) #s(literal 1 binary64)) #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))
(+.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) (*.f64 (sqrt.f64 (log.f64 (/.f64 #s(literal 1 binary64) u1))) (sqrt.f64 #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 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))
(fma.f64 (pow.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)) #s(literal 1/4 binary64)) (*.f64 #s(literal 1/6 binary64) (pow.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)) #s(literal 1/4 binary64))) #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 (*.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 #s(literal 1/8 binary64) (*.f64 #s(literal 1/216 binary64) (pow.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)) #s(literal 3/2 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 (log.f64 u1) #s(literal -2 binary64))) (-.f64 #s(literal 1/4 binary64) (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal 1/12 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 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 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 1/4 binary64) (pow.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))))) #s(literal 2 binary64)))))
(-.f64 (/.f64 (pow.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))))) #s(literal 2 binary64)) (+.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))))) #s(literal -1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (+.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))))) #s(literal -1/2 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/4 binary64) (*.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))))) (+.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))))) #s(literal -1/2 binary64))))) (+.f64 (pow.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))))) #s(literal 3 binary64)) #s(literal 1/8 binary64)))
(fma.f64 #s(literal 1/36 binary64) (/.f64 (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 (*.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))) (neg.f64 (/.f64 #s(literal 1/4 binary64) (+.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))))) #s(literal -1/2 binary64)))))
(fma.f64 #s(literal 1/6 binary64) (/.f64 (*.f64 (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 1/6 binary64)) (+.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))))) #s(literal -1/2 binary64))) (neg.f64 (/.f64 #s(literal 1/4 binary64) (+.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))))) #s(literal -1/2 binary64)))))
(/.f64 (*.f64 (+.f64 (pow.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))))) #s(literal 4 binary64)) #s(literal -1/16 binary64)) (/.f64 #s(literal 1 binary64) (+.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))))) #s(literal -1/2 binary64)))) (+.f64 (pow.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))))) #s(literal 2 binary64)) #s(literal 1/4 binary64)))
Outputs
(+.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) (*.f64 (sqrt.f64 (log.f64 (/.f64 #s(literal 1 binary64) u1))) (sqrt.f64 #s(literal 2 binary64)))) (cos.f64 (*.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) u2))) #s(literal 1/2 binary64))
Calls

10 calls:

78.0ms
(cos.f64 (*.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) u2))
15.0ms
(*.f64 #s(literal -2 binary64) (log.f64 u1))
14.0ms
(+.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))
13.0ms
u2
12.0ms
(pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/2 binary64))
Results
AccuracySegmentsBranch
99.5%1u1
99.5%1u2
99.5%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))
99.5%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)))
99.5%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)))
99.5%1(pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/2 binary64))
99.5%1(*.f64 #s(literal -2 binary64) (log.f64 u1))
99.5%1(log.f64 u1)
99.5%1(cos.f64 (*.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) u2))
99.5%1(*.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) u2)
Compiler

Compiled 91 to 78 computations (14.3% saved)

regimes91.0ms (0.7%)

Memory
-33.9MiB live, 173.6MiB allocated
Counts
29 → 1
Calls
Call 1
Inputs
(+.f64 (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal 1/6 binary64)) #s(literal 1/2 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)))) #s(literal 1/2 binary64))))
(-.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 u2 (*.f64 u2 (*.f64 #s(literal -2 binary64) (*.f64 (PI.f64) (PI.f64)))))) (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))))) #s(literal -1/2 binary64))
(+.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 u2 u2) (*.f64 u2 u2)) (*.f64 #s(literal 4 binary64) (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (PI.f64)))))) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (-.f64 #s(literal 0 binary64) (*.f64 (log.f64 u1) #s(literal 2 binary64)))))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal -2 binary64))) (*.f64 u2 u2)))) #s(literal 1/2 binary64))
(+.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal -2 binary64))) (*.f64 u2 u2))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 u2 u2) (*.f64 u2 u2)) (*.f64 #s(literal 4 binary64) (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (PI.f64)))))) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (-.f64 #s(literal 0 binary64) (*.f64 (log.f64 u1) #s(literal 2 binary64)))))))) #s(literal 1/2 binary64))
(+.f64 (*.f64 (sqrt.f64 (log.f64 u1)) (*.f64 (sqrt.f64 #s(literal -2 binary64)) #s(literal 1/6 binary64))) #s(literal 1/2 binary64))
(+.f64 (*.f64 (exp.f64 (*.f64 (log.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal 1/2 binary64))) #s(literal 1/6 binary64)) #s(literal 1/2 binary64))
(+.f64 (*.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (log.f64 u1))) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 1/2 binary64))
(+.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)) #s(literal 1/2 binary64))
(+.f64 (*.f64 (pow.f64 (pow.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)) #s(literal 1/8 binary64)) #s(literal 4 binary64)) #s(literal 1/6 binary64)) #s(literal 1/2 binary64))
(+.f64 (*.f64 (pow.f64 (pow.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)) #s(literal 1/4 binary64)) #s(literal 2 binary64)) #s(literal 1/6 binary64)) #s(literal 1/2 binary64))
(+.f64 (*.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)) #s(literal 1/2 binary64))
(+.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) (*.f64 (sqrt.f64 (log.f64 (/.f64 #s(literal 1 binary64) u1))) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 1 binary64)) #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))) #s(literal 1 binary64)) #s(literal 1/2 binary64))
(-.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))) (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))))) #s(literal -1/2 binary64))
(/.f64 (+.f64 #s(literal 1/4 binary64) (*.f64 (log.f64 u1) #s(literal 1/18 binary64))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))))) (+.f64 #s(literal 1/4 binary64) (*.f64 (log.f64 u1) #s(literal 1/18 binary64)))))
(/.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/36 binary64) (*.f64 (log.f64 u1) #s(literal -2 binary64)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -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))
(*.f64 (+.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal -1/4 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)))) #s(literal -1/2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 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 binary64) (/.f64 (+.f64 (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)))) #s(literal -1/2 binary64)) (+.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal -1/4 binary64))))
(+.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) (*.f64 (sqrt.f64 (log.f64 (/.f64 #s(literal 1 binary64) u1))) (sqrt.f64 #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 u2 (*.f64 u2 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal -2 binary64)))))) #s(literal 1/2 binary64))
(+.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)) #s(literal 1/2 binary64))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))))))) #s(literal -1 binary64)))
(/.f64 #s(literal 1 binary64) (exp.f64 (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)))))))))
(+.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)) #s(literal 1/8 binary64))) (pow.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)) #s(literal 3/8 binary64))) #s(literal 1/2 binary64))
(+.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) (pow.f64 (pow.f64 (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal 1/2 binary64)) #s(literal 2 binary64))) #s(literal 1 binary64)) #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))
Outputs
(+.f64 (*.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)) #s(literal 1/2 binary64))
Calls

10 calls:

14.0ms
(+.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))
9.0ms
(pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/2 binary64))
9.0ms
u1
9.0ms
(log.f64 u1)
8.0ms
(*.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)))
Results
AccuracySegmentsBranch
99.4%1u1
99.4%1u2
99.4%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))
99.4%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)))
99.4%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)))
99.4%1(pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/2 binary64))
99.4%1(*.f64 #s(literal -2 binary64) (log.f64 u1))
99.4%1(log.f64 u1)
99.4%1(cos.f64 (*.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) u2))
99.4%1(*.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) u2)
Compiler

Compiled 91 to 78 computations (14.3% saved)

regimes18.0ms (0.1%)

Memory
-0.8MiB live, 38.0MiB allocated
Counts
11 → 1
Calls
Call 1
Inputs
(+.f64 (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal 1/6 binary64)) #s(literal 1/2 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)))) #s(literal 1/2 binary64))))
(-.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 u2 (*.f64 u2 (*.f64 #s(literal -2 binary64) (*.f64 (PI.f64) (PI.f64)))))) (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))))) #s(literal -1/2 binary64))
(+.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 u2 u2) (*.f64 u2 u2)) (*.f64 #s(literal 4 binary64) (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (PI.f64)))))) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (-.f64 #s(literal 0 binary64) (*.f64 (log.f64 u1) #s(literal 2 binary64)))))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal -2 binary64))) (*.f64 u2 u2)))) #s(literal 1/2 binary64))
(+.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal -2 binary64))) (*.f64 u2 u2))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 u2 u2) (*.f64 u2 u2)) (*.f64 #s(literal 4 binary64) (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (PI.f64)))))) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (-.f64 #s(literal 0 binary64) (*.f64 (log.f64 u1) #s(literal 2 binary64)))))))) #s(literal 1/2 binary64))
(+.f64 (*.f64 (sqrt.f64 (log.f64 u1)) (*.f64 (sqrt.f64 #s(literal -2 binary64)) #s(literal 1/6 binary64))) #s(literal 1/2 binary64))
(+.f64 (*.f64 (exp.f64 (*.f64 (log.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal 1/2 binary64))) #s(literal 1/6 binary64)) #s(literal 1/2 binary64))
(+.f64 (*.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (log.f64 u1))) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 1/2 binary64))
(+.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)) #s(literal 1/2 binary64))
(+.f64 (*.f64 (pow.f64 (pow.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)) #s(literal 1/8 binary64)) #s(literal 4 binary64)) #s(literal 1/6 binary64)) #s(literal 1/2 binary64))
(+.f64 (*.f64 (pow.f64 (pow.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)) #s(literal 1/4 binary64)) #s(literal 2 binary64)) #s(literal 1/6 binary64)) #s(literal 1/2 binary64))
Outputs
(-.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 u2 (*.f64 u2 (*.f64 #s(literal -2 binary64) (*.f64 (PI.f64) (PI.f64)))))) (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))))) #s(literal -1/2 binary64))
Calls

4 calls:

6.0ms
u2
4.0ms
(*.f64 #s(literal -2 binary64) (log.f64 u1))
4.0ms
u1
4.0ms
(log.f64 u1)
Results
AccuracySegmentsBranch
99.2%1u1
99.2%1u2
99.2%1(*.f64 #s(literal -2 binary64) (log.f64 u1))
99.2%1(log.f64 u1)
Compiler

Compiled 16 to 12 computations (25% saved)

regimes5.0ms (0%)

Memory
11.7MiB live, 11.7MiB allocated
Accuracy

Total -0.1b remaining (-10.1%)

Threshold costs -0.1b (-10.1%)

Counts
2 → 1
Calls
Call 1
Inputs
(+.f64 (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal 1/6 binary64)) #s(literal 1/2 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)))) #s(literal 1/2 binary64))))
Outputs
(+.f64 (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal 1/6 binary64)) #s(literal 1/2 binary64))
Calls

3 calls:

1.0ms
(log.f64 u1)
1.0ms
u1
1.0ms
u2
Results
AccuracySegmentsBranch
98.9%1u1
98.9%1u2
98.9%1(log.f64 u1)
Compiler

Compiled 10 to 7 computations (30% saved)

simplify9.0ms (0.1%)

Memory
16.0MiB live, 16.0MiB allocated
Algorithm
1×egg-herbie
Rules
34×*-commutative_binary64
12×+-commutative_binary64
4×sub-neg_binary64
2×1-exp_binary64
2×neg-sub0_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04367
16967
27367
37567
47667
Stop Event
1×saturated
Calls
Call 1
Inputs
(+.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) (*.f64 (sqrt.f64 (log.f64 (/.f64 #s(literal 1 binary64) u1))) (sqrt.f64 #s(literal 2 binary64)))) (cos.f64 (*.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) u2))) #s(literal 1/2 binary64))
(+.f64 (*.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)) #s(literal 1/2 binary64))
(-.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 u2 (*.f64 u2 (*.f64 #s(literal -2 binary64) (*.f64 (PI.f64) (PI.f64)))))) (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))))) #s(literal -1/2 binary64))
(+.f64 (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal 1/6 binary64)) #s(literal 1/2 binary64))
Outputs
(+.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) (*.f64 (sqrt.f64 (log.f64 (/.f64 #s(literal 1 binary64) u1))) (sqrt.f64 #s(literal 2 binary64)))) (cos.f64 (*.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) u2))) #s(literal 1/2 binary64))
(+.f64 (*.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)) #s(literal 1/2 binary64))
(+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)))) #s(literal 1/6 binary64)))
(-.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 u2 (*.f64 u2 (*.f64 #s(literal -2 binary64) (*.f64 (PI.f64) (PI.f64)))))) (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))))) #s(literal -1/2 binary64))
(-.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 u2 (*.f64 u2 (*.f64 #s(literal -2 binary64) (*.f64 (PI.f64) (PI.f64)))))) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))))) #s(literal -1/2 binary64))
(+.f64 (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal 1/6 binary64)) #s(literal 1/2 binary64))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)))))

soundness1.0s (8%)

Memory
0.2MiB live, 612.8MiB allocated
Rules
43 450×accelerator-lowering-fma.f32
43 450×accelerator-lowering-fma.f64
10 710×accelerator-lowering-fma.f32
10 710×accelerator-lowering-fma.f64
7 804×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01484002
14033882
212533834
320003810
428893810
541513810
653193810
775193810
080273666
01948
17048
236148
0283647
0831292
12051260
26231232
322011204
428111198
539221198
653521198
754801198
855421198
955591198
1055651198
1155651198
1279931198
1379931198
1479931198
080131162
057259
1275256
21749247
08279240
Stop Event
1×fuel
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×iter limit
1×node limit
1×iter limit
1×node limit
Compiler

Compiled 179 to 135 computations (24.6% saved)

preprocess43.0ms (0.3%)

Memory
-3.8MiB live, 113.1MiB allocated
Remove

(abs u2)

Compiler

Compiled 364 to 270 computations (25.8% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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