normal distribution

Time bar (total: 13.7s)

analyze21.0ms (0.2%)

Memory
35.9MiB live, 35.9MiB 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 (13.9%)

Memory
44.5MiB live, 1 781.0MiB allocated
Samples
1.5s8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 1.3s
ival-mult: 429.0ms (34% of total)
ival-sqrt: 229.0ms (18.2% of total)
ival-cos: 223.0ms (17.7% of total)
ival-log: 104.0ms (8.2% of total)
ival-<=: 85.0ms (6.7% of total)
ival-div: 71.0ms (5.6% of total)
ival-add: 39.0ms (3.1% of total)
ival-pi: 34.0ms (2.7% of total)
exact: 23.0ms (1.8% of total)
ival-and: 20.0ms (1.6% of total)
ival-assert: 3.0ms (0.2% of total)
Bogosity

preprocess27.0ms (0.2%)

Memory
-4.0MiB live, 34.7MiB 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)
(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))
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)

explain210.0ms (1.5%)

Memory
-8.6MiB live, 275.4MiB 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
59.0ms512×0valid
Compiler

Compiled 212 to 76 computations (64.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 38.0ms
ival-mult: 14.0ms (36.6% of total)
ival-log: 7.0ms (18.3% of total)
ival-div: 4.0ms (10.5% of total)
ival-cos: 4.0ms (10.5% of total)
ival-add: 3.0ms (7.8% of total)
ival-sqrt: 3.0ms (7.8% of total)
ival-pi: 2.0ms (5.2% of total)
exact: 1.0ms (2.6% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

eval0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated
Compiler

Compiled 2 to 2 computations (0% saved)

prune1.0ms (0%)

Memory
1.4MiB live, 1.4MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶99.5%
(+.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
7.1MiB live, 7.1MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 4 expressions of interest:

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

Useful iterations: 0 (0.0ms)

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

localize53.0ms (0.4%)

Memory
5.2MiB live, 79.1MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(+.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))
✓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)
✓accuracy99.5%
(*.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
34.0ms256×0valid
Compiler

Compiled 85 to 20 computations (76.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 24.0ms
ival-mult: 12.0ms (51% of total)
ival-log: 3.0ms (12.7% of total)
ival-div: 2.0ms (8.5% of total)
ival-cos: 2.0ms (8.5% of total)
ival-sqrt: 2.0ms (8.5% of total)
ival-pi: 1.0ms (4.2% of total)
ival-add: 1.0ms (4.2% of total)
exact: 1.0ms (4.2% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series81.0ms (0.6%)

Memory
2.5MiB live, 118.9MiB allocated
Counts
6 → 84
Calls
Call 1
Inputs
#<alt (pow (* -2 (log u1)) 1/2)>
#<alt (/ 1 6)>
#<alt (+ (* (* (/ 1 6) (pow (* -2 (log u1)) 1/2)) (cos (* (* 2 (PI)) u2))) 1/2)>
#<alt (* (* (/ 1 6) (pow (* -2 (log u1)) 1/2)) (cos (* (* 2 (PI)) u2)))>
#<alt (* (/ 1 6) (pow (* -2 (log u1)) 1/2))>
#<alt (* (* 2 (PI)) u2)>
Outputs
#<alt (* (sqrt (log u1)) (sqrt -2))>
#<alt (* (sqrt (log u1)) (sqrt -2))>
#<alt (* (sqrt (log u1)) (sqrt -2))>
#<alt (* (sqrt (log u1)) (sqrt -2))>
#<alt (* (sqrt (log (/ 1 u1))) (sqrt 2))>
#<alt (* (sqrt (log (/ 1 u1))) (sqrt 2))>
#<alt (* (sqrt (log (/ 1 u1))) (sqrt 2))>
#<alt (* (sqrt (log (/ 1 u1))) (sqrt 2))>
#<alt (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))>
#<alt (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))>
#<alt (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))>
#<alt (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))>
#<alt (+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))))>
#<alt (+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))))>
#<alt (+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))))>
#<alt (+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))))>
#<alt (+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -2) (sqrt -1))) (sqrt (log (/ 1 u1))))))>
#<alt (+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -2) (sqrt -1))) (sqrt (log (/ 1 u1))))))>
#<alt (+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -2) (sqrt -1))) (sqrt (log (/ 1 u1))))))>
#<alt (+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -2) (sqrt -1))) (sqrt (log (/ 1 u1))))))>
#<alt (+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))))>
#<alt (+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))))>
#<alt (+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))))>
#<alt (+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))))>
#<alt (+ 1/2 (* 1/6 (* (sqrt (log u1)) (sqrt -2))))>
#<alt (+ 1/2 (+ (* -1/3 (* (* (pow u2 2) (* (pow (PI) 2) (sqrt -2))) (sqrt (log u1)))) (* 1/6 (* (sqrt (log u1)) (sqrt -2)))))>
#<alt (+ 1/2 (+ (* 1/6 (* (sqrt (log u1)) (sqrt -2))) (* (pow u2 2) (+ (* -1/3 (* (* (pow (PI) 2) (sqrt -2)) (sqrt (log u1)))) (* 1/9 (* (* (pow u2 2) (* (pow (PI) 4) (sqrt -2))) (sqrt (log u1))))))))>
#<alt (+ 1/2 (+ (* 1/6 (* (sqrt (log u1)) (sqrt -2))) (* (pow u2 2) (+ (* -1/3 (* (* (pow (PI) 2) (sqrt -2)) (sqrt (log u1)))) (* (pow u2 2) (+ (* -2/135 (* (* (pow u2 2) (* (pow (PI) 6) (sqrt -2))) (sqrt (log u1)))) (* 1/9 (* (* (pow (PI) 4) (sqrt -2)) (sqrt (log u1))))))))))>
#<alt (+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))))>
#<alt (+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))))>
#<alt (+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))))>
#<alt (+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))))>
#<alt (+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))))>
#<alt (+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))))>
#<alt (+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))))>
#<alt (+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))))>
#<alt (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1))))>
#<alt (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1))))>
#<alt (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1))))>
#<alt (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1))))>
#<alt (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -2) (sqrt -1))) (sqrt (log (/ 1 u1)))))>
#<alt (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -2) (sqrt -1))) (sqrt (log (/ 1 u1)))))>
#<alt (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -2) (sqrt -1))) (sqrt (log (/ 1 u1)))))>
#<alt (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -2) (sqrt -1))) (sqrt (log (/ 1 u1)))))>
#<alt (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))))>
#<alt (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))))>
#<alt (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))))>
#<alt (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))))>
#<alt (* 1/6 (* (sqrt (log u1)) (sqrt -2)))>
#<alt (+ (* -1/3 (* (* (pow u2 2) (* (pow (PI) 2) (sqrt -2))) (sqrt (log u1)))) (* 1/6 (* (sqrt (log u1)) (sqrt -2))))>
#<alt (+ (* 1/6 (* (sqrt (log u1)) (sqrt -2))) (* (pow u2 2) (+ (* -1/3 (* (* (pow (PI) 2) (sqrt -2)) (sqrt (log u1)))) (* 1/9 (* (* (pow u2 2) (* (pow (PI) 4) (sqrt -2))) (sqrt (log u1)))))))>
#<alt (+ (* 1/6 (* (sqrt (log u1)) (sqrt -2))) (* (pow u2 2) (+ (* -1/3 (* (* (pow (PI) 2) (sqrt -2)) (sqrt (log u1)))) (* (pow u2 2) (+ (* -2/135 (* (* (pow u2 2) (* (pow (PI) 6) (sqrt -2))) (sqrt (log u1)))) (* 1/9 (* (* (pow (PI) 4) (sqrt -2)) (sqrt (log u1)))))))))>
#<alt (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1))))>
#<alt (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1))))>
#<alt (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1))))>
#<alt (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1))))>
#<alt (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1))))>
#<alt (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1))))>
#<alt (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1))))>
#<alt (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1))))>
#<alt (* 1/6 (* (sqrt (log u1)) (sqrt -2)))>
#<alt (* 1/6 (* (sqrt (log u1)) (sqrt -2)))>
#<alt (* 1/6 (* (sqrt (log u1)) (sqrt -2)))>
#<alt (* 1/6 (* (sqrt (log u1)) (sqrt -2)))>
#<alt (* 1/6 (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1))))>
#<alt (* 1/6 (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1))))>
#<alt (* 1/6 (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1))))>
#<alt (* 1/6 (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1))))>
#<alt (* 1/6 (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))))>
#<alt (* 1/6 (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))))>
#<alt (* 1/6 (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))))>
#<alt (* 1/6 (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))))>
#<alt (* 2 (* u2 (PI)))>
#<alt (* 2 (* u2 (PI)))>
#<alt (* 2 (* u2 (PI)))>
#<alt (* 2 (* u2 (PI)))>
#<alt (* 2 (* u2 (PI)))>
#<alt (* 2 (* u2 (PI)))>
#<alt (* 2 (* u2 (PI)))>
#<alt (* 2 (* u2 (PI)))>
#<alt (* 2 (* u2 (PI)))>
#<alt (* 2 (* u2 (PI)))>
#<alt (* 2 (* u2 (PI)))>
#<alt (* 2 (* u2 (PI)))>
Calls

21 calls:

TimeVariablePointExpression
28.0ms
u1
@0
(pow (* -2 (log u1)) 1/2)
20.0ms
u1
@-inf
(pow (* -2 (log u1)) 1/2)
15.0ms
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)
2.0ms
u1
@0
(+ (* (* (/ 1 6) (pow (* -2 (log u1)) 1/2)) (cos (* (* 2 (PI)) u2))) 1/2)

rewrite196.0ms (1.4%)

Memory
-11.8MiB live, 229.8MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
2 664×accelerator-lowering-fma.f32
2 664×accelerator-lowering-fma.f64
2 636×*-lowering-*.f32
2 636×*-lowering-*.f64
550×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

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

simplify1.8s (13%)

Memory
13.2MiB live, 1 385.5MiB 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 (-.f64 #s(literal 0 binary64) (log.f64 u1))) (sqrt.f64 #s(literal 2 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 2))
(*.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (log.f64 u1))) (sqrt.f64 #s(literal 2 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 -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)))))
(fma.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))) #s(literal 1/2 binary64))
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))))
(fma.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))) #s(literal 1/2 binary64))
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))))
(fma.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))) #s(literal 1/2 binary64))
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))))
(fma.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))) #s(literal 1/2 binary64))
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -2) (sqrt -1))) (sqrt (log (/ 1 u1))))))
(fma.f64 (*.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (log.f64 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))) #s(literal 1/2 binary64))
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -2) (sqrt -1))) (sqrt (log (/ 1 u1))))))
(fma.f64 (*.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (log.f64 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))) #s(literal 1/2 binary64))
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -2) (sqrt -1))) (sqrt (log (/ 1 u1))))))
(fma.f64 (*.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (log.f64 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))) #s(literal 1/2 binary64))
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -2) (sqrt -1))) (sqrt (log (/ 1 u1))))))
(fma.f64 (*.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (log.f64 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))) #s(literal 1/2 binary64))
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))))
(fma.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))) #s(literal 1/2 binary64))
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))))
(fma.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))) #s(literal 1/2 binary64))
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))))
(fma.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))) #s(literal 1/2 binary64))
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))))
(fma.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))) #s(literal 1/2 binary64))
(+ 1/2 (* 1/6 (* (sqrt (log u1)) (sqrt -2))))
(fma.f64 (sqrt.f64 (log.f64 u1)) (*.f64 (sqrt.f64 #s(literal -2 binary64)) #s(literal 1/6 binary64)) #s(literal 1/2 binary64))
(+ 1/2 (+ (* -1/3 (* (* (pow u2 2) (* (pow (PI) 2) (sqrt -2))) (sqrt (log u1)))) (* 1/6 (* (sqrt (log u1)) (sqrt -2)))))
(fma.f64 (sqrt.f64 (log.f64 u1)) (*.f64 (sqrt.f64 #s(literal -2 binary64)) (fma.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 u2 u2)) (*.f64 (PI.f64) (PI.f64)) #s(literal 1/6 binary64))) #s(literal 1/2 binary64))
(+ 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))))))))
(fma.f64 (sqrt.f64 (log.f64 u1)) (*.f64 (sqrt.f64 #s(literal -2 binary64)) (fma.f64 (*.f64 u2 u2) (fma.f64 #s(literal -1/3 binary64) (*.f64 (PI.f64) (PI.f64)) (*.f64 (*.f64 #s(literal 1/9 binary64) (pow.f64 (PI.f64) #s(literal 4 binary64))) (*.f64 u2 u2))) #s(literal 1/6 binary64))) #s(literal 1/2 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))))))))))
(fma.f64 (sqrt.f64 (log.f64 u1)) (fma.f64 (*.f64 u2 u2) (*.f64 (sqrt.f64 #s(literal -2 binary64)) (fma.f64 (*.f64 u2 u2) (fma.f64 #s(literal -2/135 binary64) (*.f64 (*.f64 u2 u2) (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))))) (*.f64 (sqrt.f64 #s(literal -2 binary64)) #s(literal 1/6 binary64))) #s(literal 1/2 binary64))
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))))
(fma.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))) #s(literal 1/2 binary64))
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))))
(fma.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))) #s(literal 1/2 binary64))
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))))
(fma.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))) #s(literal 1/2 binary64))
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))))
(fma.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))) #s(literal 1/2 binary64))
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))))
(fma.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))) #s(literal 1/2 binary64))
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))))
(fma.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))) #s(literal 1/2 binary64))
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))))
(fma.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))) #s(literal 1/2 binary64))
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))))
(fma.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))) #s(literal 1/2 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 (-.f64 #s(literal 0 binary64) (log.f64 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 (-.f64 #s(literal 0 binary64) (log.f64 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 (-.f64 #s(literal 0 binary64) (log.f64 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 (-.f64 #s(literal 0 binary64) (log.f64 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 (sqrt.f64 (log.f64 u1)) (*.f64 (sqrt.f64 #s(literal -2 binary64)) (fma.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 u2 u2)) (*.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)))) (* 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)) (fma.f64 (*.f64 u2 u2) (fma.f64 #s(literal -1/3 binary64) (*.f64 (PI.f64) (PI.f64)) (*.f64 (*.f64 #s(literal 1/9 binary64) (pow.f64 (PI.f64) #s(literal 4 binary64))) (*.f64 u2 u2))) #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)) (fma.f64 (*.f64 u2 u2) (*.f64 (sqrt.f64 #s(literal -2 binary64)) (fma.f64 (*.f64 u2 u2) (fma.f64 #s(literal -2/135 binary64) (*.f64 (*.f64 u2 u2) (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))))) (*.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 (* (* (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 (-.f64 #s(literal 0 binary64) (log.f64 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 (-.f64 #s(literal 0 binary64) (log.f64 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 (-.f64 #s(literal 0 binary64) (log.f64 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 (-.f64 #s(literal 0 binary64) (log.f64 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)))

eval28.0ms (0.2%)

Memory
-13.3MiB live, 64.3MiB allocated
Compiler

Compiled 7 631 to 698 computations (90.9% saved)

prune44.0ms (0.3%)

Memory
27.2MiB live, 102.7MiB allocated
Pruning

18 alts after pruning (18 fresh and 0 done)

PrunedKeptTotal
New24218260
Fresh000
Picked101
Done000
Total24318261
Accuracy
100.0%
Counts
261 → 18
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.1%
(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) (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))) (neg.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))) #s(literal -1/2 binary64)))))
99.2%
(fma.f64 (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/4 binary64)) (*.f64 (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/4 binary64)) (*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))))) #s(literal 1/2 binary64))
99.5%
(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))
99.5%
(fma.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal 1/6 binary64)) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))) #s(literal 1/2 binary64))
▶0.0%
(fma.f64 (sqrt.f64 (log.f64 u1)) (*.f64 (sqrt.f64 #s(literal -2 binary64)) #s(literal 1/6 binary64)) #s(literal 1/2 binary64))
99.1%
(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)) (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))) (neg.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))) #s(literal -1/2 binary64)))))
99.2%
(/.f64 (fma.f64 #s(literal 1/36 binary64) (pow.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))) #s(literal 2 binary64)) #s(literal -1/4 binary64)) (fma.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))) #s(literal -1/2 binary64)))
98.8%
(/.f64 (fma.f64 #s(literal 1/216 binary64) (pow.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (fma.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))))) (fma.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))) #s(literal -1/2 binary64)) #s(literal 1/4 binary64)))
98.7%
(/.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 (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 #s(literal 1/36 binary64) (pow.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))) #s(literal 2 binary64)) #s(literal 1/4 binary64))))
▶99.1%
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))) #s(literal -1/6 binary64))) (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal -1/36 binary64) (pow.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))) #s(literal 2 binary64))))))
99.4%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))) #s(literal 1/2 binary64))))
99.4%
(+.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))
▶99.6%
(+.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) (*.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (log.f64 u1))) (sqrt.f64 #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)) (exp.f64 (*.f64 (log.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))
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))
99.1%
(*.f64 (fma.f64 #s(literal 1/36 binary64) (pow.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))) #s(literal 2 binary64)) #s(literal -1/4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))) #s(literal -1/2 binary64))))
Compiler

Compiled 1 106 to 726 computations (34.4% saved)

simplify294.0ms (2.2%)

Memory
-6.5MiB live, 191.4MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))) #s(literal -1/6 binary64))) (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal -1/36 binary64) (pow.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))) #s(literal 2 binary64)))))
✓cost-diff128
(+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))) #s(literal -1/6 binary64)))
✓cost-diff192
(+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal -1/36 binary64) (pow.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))) #s(literal 2 binary64))))
✓cost-diff704
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))) #s(literal -1/6 binary64))) (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal -1/36 binary64) (pow.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))) #s(literal 2 binary64))))))
✓cost-diff0
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (log.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)))))
✓cost-diff0
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (log.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))))) (cos.f64 (*.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) u2)))
✓cost-diff128
(+.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (log.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))))) (cos.f64 (*.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) u2))) #s(literal 1/2 binary64))
✓cost-diff704
(/.f64 #s(literal 1 binary64) #s(literal 6 binary64))
✓cost-diff0
(*.f64 (*.f64 (/.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-diff128
(+.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) (pow.f64 (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/4 binary64)) #s(literal 2 binary64))) (cos.f64 (*.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) u2))) #s(literal 1/2 binary64))
✓cost-diff704
(/.f64 #s(literal 1 binary64) #s(literal 6 binary64))
✓cost-diff12288
(pow.f64 (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/4 binary64)) #s(literal 2 binary64))
✓cost-diff0
(*.f64 (sqrt.f64 #s(literal -2 binary64)) #s(literal 1/6 binary64))
✓cost-diff0
(log.f64 u1)
✓cost-diff0
(sqrt.f64 (log.f64 u1))
✓cost-diff0
(fma.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 (-.f64 #s(literal 0 binary64) (log.f64 u1))) (sqrt.f64 #s(literal 2 binary64))))
✓cost-diff0
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) (*.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (log.f64 u1))) (sqrt.f64 #s(literal 2 binary64)))) (cos.f64 (*.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) u2)))
✓cost-diff128
(+.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) (*.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (log.f64 u1))) (sqrt.f64 #s(literal 2 binary64)))) (cos.f64 (*.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) u2))) #s(literal 1/2 binary64))
✓cost-diff704
(/.f64 #s(literal 1 binary64) #s(literal 6 binary64))
Rules
4 658×*-lowering-*.f32
4 658×*-lowering-*.f64
3 648×associate-*r*
1 816×accelerator-lowering-fma.f32
1 816×accelerator-lowering-fma.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
054489
1100479
2190472
3355472
4847472
51035472
61283472
71543472
81698472
91783472
101821472
111833472
121836472
131836472
141836472
153098472
163434472
173862472
184007472
194078472
204078472
214078472
224395472
234395472
245740472
255762472
265766472
275778472
285790472
295794472
305794472
315823472
05823462
Stop Event
1×iter limit
1×saturated
Calls
Call 1
Inputs
(+ (* (* (/ 1 6) (* (sqrt (- 0 (log u1))) (sqrt 2))) (cos (* (* 2 (PI)) u2))) 1/2)
(* (* (/ 1 6) (* (sqrt (- 0 (log u1))) (sqrt 2))) (cos (* (* 2 (PI)) u2)))
(* (/ 1 6) (* (sqrt (- 0 (log u1))) (sqrt 2)))
(/ 1 6)
1
6
(* (sqrt (- 0 (log u1))) (sqrt 2))
(sqrt (- 0 (log u1)))
(- 0 (log u1))
0
(log 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))
(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
(+ (* (* (/ 1 6) (pow (exp 1/2) (log (* -2 (log u1))))) (cos (* (* 2 (PI)) u2))) 1/2)
(* (* (/ 1 6) (pow (exp 1/2) (log (* -2 (log u1))))) (cos (* (* 2 (PI)) u2)))
(* (/ 1 6) (pow (exp 1/2) (log (* -2 (log u1)))))
(/ 1 6)
1
6
(pow (exp 1/2) (log (* -2 (log u1))))
(exp 1/2)
1/2
(log (* -2 (log u1)))
(* -2 (log u1))
-2
(log u1)
u1
(cos (* (* 2 (PI)) u2))
(* (* 2 (PI)) u2)
(* 2 (PI))
2
(PI)
u2
(/ 1 (/ (+ 1/2 (* (* (sqrt (* -2 (log u1))) (cos (* 2 (* (PI) u2)))) -1/6)) (+ 1/4 (* -1/36 (pow (* (sqrt (* -2 (log u1))) (cos (* 2 (* (PI) u2)))) 2)))))
1
(/ (+ 1/2 (* (* (sqrt (* -2 (log u1))) (cos (* 2 (* (PI) u2)))) -1/6)) (+ 1/4 (* -1/36 (pow (* (sqrt (* -2 (log u1))) (cos (* 2 (* (PI) u2)))) 2))))
(+ 1/2 (* (* (sqrt (* -2 (log u1))) (cos (* 2 (* (PI) u2)))) -1/6))
1/2
(* (* (sqrt (* -2 (log u1))) (cos (* 2 (* (PI) u2)))) -1/6)
(* (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
-1/6
(+ 1/4 (* -1/36 (pow (* (sqrt (* -2 (log u1))) (cos (* 2 (* (PI) u2)))) 2)))
1/4
(* -1/36 (pow (* (sqrt (* -2 (log u1))) (cos (* 2 (* (PI) u2)))) 2))
-1/36
(pow (* (sqrt (* -2 (log u1))) (cos (* 2 (* (PI) u2)))) 2)
Outputs
(+ (* (* (/ 1 6) (* (sqrt (- 0 (log u1))) (sqrt 2))) (cos (* (* 2 (PI)) u2))) 1/2)
(fma.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (log.f64 u1))) (*.f64 #s(literal 1/6 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 (*.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) u2)))) #s(literal 1/2 binary64))
(* (* (/ 1 6) (* (sqrt (- 0 (log u1))) (sqrt 2))) (cos (* (* 2 (PI)) u2)))
(*.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (log.f64 u1))) (*.f64 #s(literal 1/6 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 (*.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) u2)))))
(* (/ 1 6) (* (sqrt (- 0 (log u1))) (sqrt 2)))
(*.f64 #s(literal 1/6 binary64) (*.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (log.f64 u1))) (sqrt.f64 #s(literal 2 binary64))))
(/ 1 6)
#s(literal 1/6 binary64)
1
#s(literal 1 binary64)
6
#s(literal 6 binary64)
(* (sqrt (- 0 (log u1))) (sqrt 2))
(*.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (log.f64 u1))) (sqrt.f64 #s(literal 2 binary64)))
(sqrt (- 0 (log u1)))
(sqrt.f64 (-.f64 #s(literal 0 binary64) (log.f64 u1)))
(- 0 (log u1))
(-.f64 #s(literal 0 binary64) (log.f64 u1))
0
#s(literal 0 binary64)
(log u1)
(log.f64 u1)
u1
(sqrt 2)
(sqrt.f64 #s(literal 2 binary64))
2
#s(literal 2 binary64)
(cos (* (* 2 (PI)) u2))
(cos.f64 (*.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) u2))
(* (* 2 (PI)) u2)
(*.f64 (*.f64 #s(literal 2 binary64) (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)
(fma.f64 (sqrt.f64 (log.f64 u1)) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -2 binary64))) #s(literal 1/2 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)
(fma.f64 (cos.f64 (*.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) u2)) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (fma.f64 (log.f64 u1) #s(literal -2 binary64) #s(literal 0 binary64)))) #s(literal 1/2 binary64))
(* (* (/ 1 6) (pow (pow (* -2 (log u1)) 1/4) 2)) (cos (* (* 2 (PI)) u2)))
(*.f64 (cos.f64 (*.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) u2)) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (fma.f64 (log.f64 u1) #s(literal -2 binary64) #s(literal 0 binary64)))))
(* (/ 1 6) (pow (pow (* -2 (log u1)) 1/4) 2))
(*.f64 #s(literal 1/6 binary64) (sqrt.f64 (fma.f64 (log.f64 u1) #s(literal -2 binary64) #s(literal 0 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 (fma.f64 (log.f64 u1) #s(literal -2 binary64) #s(literal 0 binary64)))
(pow (* -2 (log u1)) 1/4)
(pow.f64 (fma.f64 (log.f64 u1) #s(literal -2 binary64) #s(literal 0 binary64)) #s(literal 1/4 binary64))
(* -2 (log u1))
(fma.f64 (log.f64 u1) #s(literal -2 binary64) #s(literal 0 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 (*.f64 #s(literal 2 binary64) (PI.f64)) u2))
(* (* 2 (PI)) u2)
(*.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) u2)
(* 2 (PI))
(*.f64 #s(literal 2 binary64) (PI.f64))
(PI)
(PI.f64)
u2
1/2
#s(literal 1/2 binary64)
(+ (* (* (/ 1 6) (pow (exp 1/2) (log (* -2 (log u1))))) (cos (* (* 2 (PI)) u2))) 1/2)
(fma.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (log.f64 (fma.f64 (log.f64 u1) #s(literal -2 binary64) #s(literal 0 binary64)))) (*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) u2))) #s(literal 1/2 binary64))
(* (* (/ 1 6) (pow (exp 1/2) (log (* -2 (log u1))))) (cos (* (* 2 (PI)) u2)))
(*.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (log.f64 (fma.f64 (log.f64 u1) #s(literal -2 binary64) #s(literal 0 binary64)))) (*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) u2))))
(* (/ 1 6) (pow (exp 1/2) (log (* -2 (log u1)))))
(*.f64 #s(literal 1/6 binary64) (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (log.f64 (fma.f64 (log.f64 u1) #s(literal -2 binary64) #s(literal 0 binary64)))))
(/ 1 6)
#s(literal 1/6 binary64)
1
#s(literal 1 binary64)
6
#s(literal 6 binary64)
(pow (exp 1/2) (log (* -2 (log u1))))
(pow.f64 (exp.f64 #s(literal 1/2 binary64)) (log.f64 (fma.f64 (log.f64 u1) #s(literal -2 binary64) #s(literal 0 binary64))))
(exp 1/2)
(exp.f64 #s(literal 1/2 binary64))
1/2
#s(literal 1/2 binary64)
(log (* -2 (log u1)))
(log.f64 (fma.f64 (log.f64 u1) #s(literal -2 binary64) #s(literal 0 binary64)))
(* -2 (log u1))
(fma.f64 (log.f64 u1) #s(literal -2 binary64) #s(literal 0 binary64))
-2
#s(literal -2 binary64)
(log u1)
(log.f64 u1)
u1
(cos (* (* 2 (PI)) u2))
(cos.f64 (*.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) u2))
(* (* 2 (PI)) u2)
(*.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) u2)
(* 2 (PI))
(*.f64 #s(literal 2 binary64) (PI.f64))
2
#s(literal 2 binary64)
(PI)
(PI.f64)
u2
(/ 1 (/ (+ 1/2 (* (* (sqrt (* -2 (log u1))) (cos (* 2 (* (PI) u2)))) -1/6)) (+ 1/4 (* -1/36 (pow (* (sqrt (* -2 (log u1))) (cos (* 2 (* (PI) u2)))) 2)))))
(/.f64 (fma.f64 (cos.f64 (*.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) u2)) (fma.f64 (cos.f64 (*.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) u2)) (fma.f64 (log.f64 u1) #s(literal 1/18 binary64) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 1/4 binary64)) (fma.f64 (cos.f64 (*.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) u2)) (*.f64 (sqrt.f64 (fma.f64 (log.f64 u1) #s(literal -2 binary64) #s(literal 0 binary64))) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)))
1
#s(literal 1 binary64)
(/ (+ 1/2 (* (* (sqrt (* -2 (log u1))) (cos (* 2 (* (PI) u2)))) -1/6)) (+ 1/4 (* -1/36 (pow (* (sqrt (* -2 (log u1))) (cos (* 2 (* (PI) u2)))) 2))))
(/.f64 (fma.f64 (cos.f64 (*.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) u2)) (*.f64 (sqrt.f64 (fma.f64 (log.f64 u1) #s(literal -2 binary64) #s(literal 0 binary64))) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) (fma.f64 (cos.f64 (*.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) u2)) (fma.f64 (cos.f64 (*.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) u2)) (fma.f64 (log.f64 u1) #s(literal 1/18 binary64) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 1/4 binary64)))
(+ 1/2 (* (* (sqrt (* -2 (log u1))) (cos (* 2 (* (PI) u2)))) -1/6))
(fma.f64 (cos.f64 (*.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) u2)) (*.f64 (sqrt.f64 (fma.f64 (log.f64 u1) #s(literal -2 binary64) #s(literal 0 binary64))) #s(literal -1/6 binary64)) #s(literal 1/2 binary64))
1/2
#s(literal 1/2 binary64)
(* (* (sqrt (* -2 (log u1))) (cos (* 2 (* (PI) u2)))) -1/6)
(*.f64 (sqrt.f64 (fma.f64 (log.f64 u1) #s(literal -2 binary64) #s(literal 0 binary64))) (*.f64 (cos.f64 (*.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) u2)) #s(literal -1/6 binary64)))
(* (sqrt (* -2 (log u1))) (cos (* 2 (* (PI) u2))))
(*.f64 (cos.f64 (*.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) u2)) (sqrt.f64 (fma.f64 (log.f64 u1) #s(literal -2 binary64) #s(literal 0 binary64))))
(sqrt (* -2 (log u1)))
(sqrt.f64 (fma.f64 (log.f64 u1) #s(literal -2 binary64) #s(literal 0 binary64)))
(* -2 (log u1))
(fma.f64 (log.f64 u1) #s(literal -2 binary64) #s(literal 0 binary64))
-2
#s(literal -2 binary64)
(log u1)
(log.f64 u1)
u1
(cos (* 2 (* (PI) u2)))
(cos.f64 (*.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) u2))
(* 2 (* (PI) u2))
(*.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) u2)
2
#s(literal 2 binary64)
(* (PI) u2)
(*.f64 (PI.f64) u2)
(PI)
(PI.f64)
u2
-1/6
#s(literal -1/6 binary64)
(+ 1/4 (* -1/36 (pow (* (sqrt (* -2 (log u1))) (cos (* 2 (* (PI) u2)))) 2)))
(fma.f64 (cos.f64 (*.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) u2)) (fma.f64 (cos.f64 (*.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) u2)) (fma.f64 (log.f64 u1) #s(literal 1/18 binary64) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 1/4 binary64))
1/4
#s(literal 1/4 binary64)
(* -1/36 (pow (* (sqrt (* -2 (log u1))) (cos (* 2 (* (PI) u2)))) 2))
(fma.f64 (cos.f64 (*.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) u2)) (fma.f64 (cos.f64 (*.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) u2)) (fma.f64 (log.f64 u1) #s(literal 1/18 binary64) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))
-1/36
#s(literal -1/36 binary64)
(pow (* (sqrt (* -2 (log u1))) (cos (* 2 (* (PI) u2)))) 2)
(pow.f64 (*.f64 (cos.f64 (*.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) u2)) (sqrt.f64 (fma.f64 (log.f64 u1) #s(literal -2 binary64) #s(literal 0 binary64)))) #s(literal 2 binary64))

localize278.0ms (2%)

Memory
-17.7MiB live, 343.1MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)))
✓accuracy100.0%
(log.f64 u1)
✓accuracy100.0%
(cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))
✓accuracy3.1%
(PI.f64)
✓accuracy100.0%
(log.f64 u1)
✓accuracy100.0%
(exp.f64 #s(literal 1/2 binary64))
✓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 u1)
✓accuracy100.0%
(cos.f64 (*.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) u2))
✓accuracy3.1%
(PI.f64)
Samples
161.0ms256×0invalid
Compiler

Compiled 517 to 56 computations (89.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 130.0ms
ival-cos: 34.0ms (26.2% of total)
ival-mult: 26.0ms (20.1% of total)
ival-div: 18.0ms (13.9% of total)
const: 10.0ms (7.7% of total)
ival-pow: 9.0ms (6.9% of total)
ival-add: 7.0ms (5.4% of total)
ival-log: 7.0ms (5.4% of total)
ival-sqrt: 7.0ms (5.4% of total)
ival-pow2: 6.0ms (4.6% of total)
ival-exp: 3.0ms (2.3% of total)
ival-pi: 1.0ms (0.8% of total)
ival-sub: 1.0ms (0.8% of total)
exact: 1.0ms (0.8% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series180.0ms (1.3%)

Memory
37.3MiB live, 227.8MiB allocated
Counts
26 → 360
Calls
Call 1
Inputs
#<alt (/ 1 6)>
#<alt (+ (* (* (/ 1 6) (* (sqrt (- 0 (log u1))) (sqrt 2))) (cos (* (* 2 (PI)) u2))) 1/2)>
#<alt (* (* (/ 1 6) (* (sqrt (- 0 (log u1))) (sqrt 2))) (cos (* (* 2 (PI)) u2)))>
#<alt (* (/ 1 6) (* (sqrt (- 0 (log u1))) (sqrt 2)))>
#<alt (+ (* (sqrt (log u1)) (* (sqrt -2) 1/6)) 1/2)>
#<alt (sqrt (log u1))>
#<alt (log u1)>
#<alt (* (sqrt -2) 1/6)>
#<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 (+ (* (* (/ 1 6) (pow (exp 1/2) (log (* -2 (log u1))))) (cos (* (* 2 (PI)) u2))) 1/2)>
#<alt (* (* (/ 1 6) (pow (exp 1/2) (log (* -2 (log u1))))) (cos (* (* 2 (PI)) u2)))>
#<alt (* (/ 1 6) (pow (exp 1/2) (log (* -2 (log u1)))))>
#<alt (/ 1 (/ (+ 1/2 (* (* (sqrt (* -2 (log u1))) (cos (* 2 (* (PI) u2)))) -1/6)) (+ 1/4 (* -1/36 (pow (* (sqrt (* -2 (log u1))) (cos (* 2 (* (PI) u2)))) 2)))))>
#<alt (+ 1/4 (* -1/36 (pow (* (sqrt (* -2 (log u1))) (cos (* 2 (* (PI) u2)))) 2)))>
#<alt (+ 1/2 (* (* (sqrt (* -2 (log u1))) (cos (* 2 (* (PI) u2)))) -1/6))>
#<alt (/ (+ 1/2 (* (* (sqrt (* -2 (log u1))) (cos (* 2 (* (PI) u2)))) -1/6)) (+ 1/4 (* -1/36 (pow (* (sqrt (* -2 (log u1))) (cos (* 2 (* (PI) u2)))) 2))))>
#<alt (PI)>
#<alt (cos (* (* 2 (PI)) u2))>
#<alt (sqrt 2)>
#<alt (sqrt -2)>
#<alt (* -2 (log u1))>
#<alt (exp 1/2)>
#<alt (cos (* 2 (* (PI) u2)))>
#<alt (sqrt (* -2 (log u1)))>
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)))) (* (pow (sqrt -1) 2) (sqrt 2))) (sqrt (log (/ 1 u1))))))>
#<alt (+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (pow (sqrt -1) 2) (sqrt 2))) (sqrt (log (/ 1 u1))))))>
#<alt (+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (pow (sqrt -1) 2) (sqrt 2))) (sqrt (log (/ 1 u1))))))>
#<alt (+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (pow (sqrt -1) 2) (sqrt 2))) (sqrt (log (/ 1 u1))))))>
#<alt (+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (sqrt 2))) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))))>
#<alt (+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (sqrt 2))) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))))>
#<alt (+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (sqrt 2))) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))))>
#<alt (+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (sqrt 2))) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))))>
#<alt (+ 1/2 (* 1/6 (* (sqrt (log u1)) (* (sqrt -1) (sqrt 2)))))>
#<alt (+ 1/2 (+ (* -1/3 (* (* (pow u2 2) (* (pow (PI) 2) (* (sqrt -1) (sqrt 2)))) (sqrt (log u1)))) (* 1/6 (* (sqrt (log u1)) (* (sqrt -1) (sqrt 2))))))>
#<alt (+ 1/2 (+ (* 1/6 (* (sqrt (log u1)) (* (sqrt -1) (sqrt 2)))) (* (pow u2 2) (+ (* -1/3 (* (* (pow (PI) 2) (* (sqrt -1) (sqrt 2))) (sqrt (log u1)))) (* 1/9 (* (* (pow u2 2) (* (pow (PI) 4) (* (sqrt -1) (sqrt 2)))) (sqrt (log u1))))))))>
#<alt (+ 1/2 (+ (* 1/6 (* (sqrt (log u1)) (* (sqrt -1) (sqrt 2)))) (* (pow u2 2) (+ (* -1/3 (* (* (pow (PI) 2) (* (sqrt -1) (sqrt 2))) (sqrt (log u1)))) (* (pow u2 2) (+ (* -2/135 (* (* (pow u2 2) (* (pow (PI) 6) (* (sqrt -1) (sqrt 2)))) (sqrt (log u1)))) (* 1/9 (* (* (pow (PI) 4) (* (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 -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 -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 -1) (sqrt 2))) (sqrt (log u1))))>
#<alt (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (pow (sqrt -1) 2) (sqrt 2))) (sqrt (log (/ 1 u1)))))>
#<alt (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (pow (sqrt -1) 2) (sqrt 2))) (sqrt (log (/ 1 u1)))))>
#<alt (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (pow (sqrt -1) 2) (sqrt 2))) (sqrt (log (/ 1 u1)))))>
#<alt (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (pow (sqrt -1) 2) (sqrt 2))) (sqrt (log (/ 1 u1)))))>
#<alt (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (sqrt 2))) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))))>
#<alt (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (sqrt 2))) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))))>
#<alt (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (sqrt 2))) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))))>
#<alt (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (sqrt 2))) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))))>
#<alt (* 1/6 (* (sqrt (log u1)) (* (sqrt -1) (sqrt 2))))>
#<alt (+ (* -1/3 (* (* (pow u2 2) (* (pow (PI) 2) (* (sqrt -1) (sqrt 2)))) (sqrt (log u1)))) (* 1/6 (* (sqrt (log u1)) (* (sqrt -1) (sqrt 2)))))>
#<alt (+ (* 1/6 (* (sqrt (log u1)) (* (sqrt -1) (sqrt 2)))) (* (pow u2 2) (+ (* -1/3 (* (* (pow (PI) 2) (* (sqrt -1) (sqrt 2))) (sqrt (log u1)))) (* 1/9 (* (* (pow u2 2) (* (pow (PI) 4) (* (sqrt -1) (sqrt 2)))) (sqrt (log u1)))))))>
#<alt (+ (* 1/6 (* (sqrt (log u1)) (* (sqrt -1) (sqrt 2)))) (* (pow u2 2) (+ (* -1/3 (* (* (pow (PI) 2) (* (sqrt -1) (sqrt 2))) (sqrt (log u1)))) (* (pow u2 2) (+ (* -2/135 (* (* (pow u2 2) (* (pow (PI) 6) (* (sqrt -1) (sqrt 2)))) (sqrt (log u1)))) (* 1/9 (* (* (pow (PI) 4) (* (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 -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 -1) (sqrt 2))) (sqrt (log 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))) (* (pow (sqrt -1) 2) (sqrt 2))))>
#<alt (* 1/6 (* (sqrt (log (/ 1 u1))) (* (pow (sqrt -1) 2) (sqrt 2))))>
#<alt (* 1/6 (* (sqrt (log (/ 1 u1))) (* (pow (sqrt -1) 2) (sqrt 2))))>
#<alt (* 1/6 (* (sqrt (log (/ 1 u1))) (* (pow (sqrt -1) 2) (sqrt 2))))>
#<alt (* 1/6 (* (* (sqrt -1) (sqrt 2)) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))))>
#<alt (* 1/6 (* (* (sqrt -1) (sqrt 2)) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))))>
#<alt (* 1/6 (* (* (sqrt -1) (sqrt 2)) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))))>
#<alt (* 1/6 (* (* (sqrt -1) (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 (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))))>
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#<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 (+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))))>
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#<alt (+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))))>
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#<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) (* -1 (log (/ -1 u1))))))))>
#<alt (+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))))>
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#<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))))>
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#<alt (/ (+ 1/2 (* -1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -2) (sqrt -1))) (sqrt (log (/ 1 u1)))))) (+ 1/4 (* 1/36 (* (pow (cos (* 2 (* u2 (PI)))) 2) (* (log (/ 1 u1)) (pow (sqrt -2) 2))))))>
#<alt (/ (+ 1/2 (* -1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -2) (sqrt -1))) (sqrt (log (/ 1 u1)))))) (+ 1/4 (* 1/36 (* (pow (cos (* 2 (* u2 (PI)))) 2) (* (log (/ 1 u1)) (pow (sqrt -2) 2))))))>
#<alt (/ (+ 1/2 (* -1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -2) (sqrt -1))) (sqrt (log (/ 1 u1)))))) (+ 1/4 (* 1/36 (* (pow (cos (* 2 (* u2 (PI)))) 2) (* (log (/ 1 u1)) (pow (sqrt -2) 2))))))>
#<alt (/ (+ 1/2 (* -1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))))) (+ 1/4 (* -1/36 (* (pow (cos (* 2 (* u2 (PI)))) 2) (* (pow (sqrt -2) 2) (+ (log -1) (* -1 (log (/ -1 u1)))))))))>
#<alt (/ (+ 1/2 (* -1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))))) (+ 1/4 (* -1/36 (* (pow (cos (* 2 (* u2 (PI)))) 2) (* (pow (sqrt -2) 2) (+ (log -1) (* -1 (log (/ -1 u1)))))))))>
#<alt (/ (+ 1/2 (* -1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))))) (+ 1/4 (* -1/36 (* (pow (cos (* 2 (* u2 (PI)))) 2) (* (pow (sqrt -2) 2) (+ (log -1) (* -1 (log (/ -1 u1)))))))))>
#<alt (/ (+ 1/2 (* -1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))))) (+ 1/4 (* -1/36 (* (pow (cos (* 2 (* u2 (PI)))) 2) (* (pow (sqrt -2) 2) (+ (log -1) (* -1 (log (/ -1 u1)))))))))>
#<alt (/ (+ 1/2 (* -1/6 (* (sqrt (log u1)) (sqrt -2)))) (+ 1/4 (* -1/36 (* (log u1) (pow (sqrt -2) 2)))))>
#<alt (+ (* -1/6 (* (sqrt (log u1)) (/ (sqrt -2) (+ 1/4 (* -1/36 (* (log u1) (pow (sqrt -2) 2))))))) (+ (* (pow u2 2) (- (* 1/3 (* (/ (* (pow (PI) 2) (sqrt -2)) (+ 1/4 (* -1/36 (* (log u1) (pow (sqrt -2) 2))))) (sqrt (log u1)))) (* 1/9 (/ (* (pow (PI) 2) (* (log u1) (* (pow (sqrt -2) 2) (+ 1/2 (* -1/6 (* (sqrt (log u1)) (sqrt -2))))))) (pow (+ 1/4 (* -1/36 (* (log u1) (pow (sqrt -2) 2)))) 2))))) (* 1/2 (/ 1 (+ 1/4 (* -1/36 (* (log u1) (pow (sqrt -2) 2))))))))>
#<alt (+ (* -1/6 (* (sqrt (log u1)) (/ (sqrt -2) (+ 1/4 (* -1/36 (* (log u1) (pow (sqrt -2) 2))))))) (+ (* (pow u2 2) (- (+ (* 1/3 (* (/ (* (pow (PI) 2) (sqrt -2)) (+ 1/4 (* -1/36 (* (log u1) (pow (sqrt -2) 2))))) (sqrt (log u1)))) (* (pow u2 2) (- (* -1/9 (* (/ (* (pow (PI) 4) (sqrt -2)) (+ 1/4 (* -1/36 (* (log u1) (pow (sqrt -2) 2))))) (sqrt (log u1)))) (+ (* -1/36 (/ (* (log u1) (* (pow (sqrt -2) 2) (* (+ 1/2 (* -1/6 (* (sqrt (log u1)) (sqrt -2)))) (+ (* 4/3 (pow (PI) 4)) (* 4 (pow (PI) 4)))))) (pow (+ 1/4 (* -1/36 (* (log u1) (pow (sqrt -2) 2)))) 2))) (* 1/9 (/ (* (pow (PI) 2) (* (log u1) (* (pow (sqrt -2) 2) (- (* 1/3 (* (/ (* (pow (PI) 2) (sqrt -2)) (+ 1/4 (* -1/36 (* (log u1) (pow (sqrt -2) 2))))) (sqrt (log u1)))) (* 1/9 (/ (* (pow (PI) 2) (* (log u1) (* (pow (sqrt -2) 2) (+ 1/2 (* -1/6 (* (sqrt (log u1)) (sqrt -2))))))) (pow (+ 1/4 (* -1/36 (* (log u1) (pow (sqrt -2) 2)))) 2))))))) (+ 1/4 (* -1/36 (* (log u1) (pow (sqrt -2) 2)))))))))) (* 1/9 (/ (* (pow (PI) 2) (* (log u1) (* (pow (sqrt -2) 2) (+ 1/2 (* -1/6 (* (sqrt (log u1)) (sqrt -2))))))) (pow (+ 1/4 (* -1/36 (* (log u1) (pow (sqrt -2) 2)))) 2))))) (* 1/2 (/ 1 (+ 1/4 (* -1/36 (* (log u1) (pow (sqrt -2) 2))))))))>
#<alt (+ (* -1/6 (* (sqrt (log u1)) (/ (sqrt -2) (+ 1/4 (* -1/36 (* (log u1) (pow (sqrt -2) 2))))))) (+ (* (pow u2 2) (- (+ (* 1/3 (* (/ (* (pow (PI) 2) (sqrt -2)) (+ 1/4 (* -1/36 (* (log u1) (pow (sqrt -2) 2))))) (sqrt (log u1)))) (* (pow u2 2) (- (+ (* -1/9 (* (/ (* (pow (PI) 4) (sqrt -2)) (+ 1/4 (* -1/36 (* (log u1) (pow (sqrt -2) 2))))) (sqrt (log u1)))) (* (pow u2 2) (- (* 2/135 (* (/ (* (pow (PI) 6) (sqrt -2)) (+ 1/4 (* -1/36 (* (log u1) (pow (sqrt -2) 2))))) (sqrt (log u1)))) (+ (* -1/36 (/ (* (log u1) (* (pow (sqrt -2) 2) (* (+ 1/2 (* -1/6 (* (sqrt (log u1)) (sqrt -2)))) (+ (* -8/3 (pow (PI) 6)) (* -8/45 (pow (PI) 6)))))) (pow (+ 1/4 (* -1/36 (* (log u1) (pow (sqrt -2) 2)))) 2))) (+ (* -1/36 (/ (* (log u1) (* (pow (sqrt -2) 2) (* (+ (* 4/3 (pow (PI) 4)) (* 4 (pow (PI) 4))) (- (* 1/3 (* (/ (* (pow (PI) 2) (sqrt -2)) (+ 1/4 (* -1/36 (* (log u1) (pow (sqrt -2) 2))))) (sqrt (log u1)))) (* 1/9 (/ (* (pow (PI) 2) (* (log u1) (* (pow (sqrt -2) 2) (+ 1/2 (* -1/6 (* (sqrt (log u1)) (sqrt -2))))))) (pow (+ 1/4 (* -1/36 (* (log u1) (pow (sqrt -2) 2)))) 2))))))) (+ 1/4 (* -1/36 (* (log u1) (pow (sqrt -2) 2)))))) (* 1/9 (/ (* (pow (PI) 2) (* (log u1) (* (pow (sqrt -2) 2) (- (* -1/9 (* (/ (* (pow (PI) 4) (sqrt -2)) (+ 1/4 (* -1/36 (* (log u1) (pow (sqrt -2) 2))))) (sqrt (log u1)))) (+ (* -1/36 (/ (* (log u1) (* (pow (sqrt -2) 2) (* (+ 1/2 (* -1/6 (* (sqrt (log u1)) (sqrt -2)))) (+ (* 4/3 (pow (PI) 4)) (* 4 (pow (PI) 4)))))) (pow (+ 1/4 (* -1/36 (* (log u1) (pow (sqrt -2) 2)))) 2))) (* 1/9 (/ (* (pow (PI) 2) (* (log u1) (* (pow (sqrt -2) 2) (- (* 1/3 (* (/ (* (pow (PI) 2) (sqrt -2)) (+ 1/4 (* -1/36 (* (log u1) (pow (sqrt -2) 2))))) (sqrt (log u1)))) (* 1/9 (/ (* (pow (PI) 2) (* (log u1) (* (pow (sqrt -2) 2) (+ 1/2 (* -1/6 (* (sqrt (log u1)) (sqrt -2))))))) (pow (+ 1/4 (* -1/36 (* (log u1) (pow (sqrt -2) 2)))) 2))))))) (+ 1/4 (* -1/36 (* (log u1) (pow (sqrt -2) 2))))))))))) (+ 1/4 (* -1/36 (* (log u1) (pow (sqrt -2) 2))))))))))) (+ (* -1/36 (/ (* (log u1) (* (pow (sqrt -2) 2) (* (+ 1/2 (* -1/6 (* (sqrt (log u1)) (sqrt -2)))) (+ (* 4/3 (pow (PI) 4)) (* 4 (pow (PI) 4)))))) (pow (+ 1/4 (* -1/36 (* (log u1) (pow (sqrt -2) 2)))) 2))) (* 1/9 (/ (* (pow (PI) 2) (* (log u1) (* (pow (sqrt -2) 2) (- (* 1/3 (* (/ (* (pow (PI) 2) (sqrt -2)) (+ 1/4 (* -1/36 (* (log u1) (pow (sqrt -2) 2))))) (sqrt (log u1)))) (* 1/9 (/ (* (pow (PI) 2) (* (log u1) (* (pow (sqrt -2) 2) (+ 1/2 (* -1/6 (* (sqrt (log u1)) (sqrt -2))))))) (pow (+ 1/4 (* -1/36 (* (log u1) (pow (sqrt -2) 2)))) 2))))))) (+ 1/4 (* -1/36 (* (log u1) (pow (sqrt -2) 2)))))))))) (* 1/9 (/ (* (pow (PI) 2) (* (log u1) (* (pow (sqrt -2) 2) (+ 1/2 (* -1/6 (* (sqrt (log u1)) (sqrt -2))))))) (pow (+ 1/4 (* -1/36 (* (log u1) (pow (sqrt -2) 2)))) 2))))) (* 1/2 (/ 1 (+ 1/4 (* -1/36 (* (log u1) (pow (sqrt -2) 2))))))))>
#<alt (/ (+ 1/2 (* -1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1))))) (+ 1/4 (* -1/36 (* (pow (cos (* 2 (* u2 (PI)))) 2) (* (log u1) (pow (sqrt -2) 2))))))>
#<alt (/ (+ 1/2 (* -1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1))))) (+ 1/4 (* -1/36 (* (pow (cos (* 2 (* u2 (PI)))) 2) (* (log u1) (pow (sqrt -2) 2))))))>
#<alt (/ (+ 1/2 (* -1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1))))) (+ 1/4 (* -1/36 (* (pow (cos (* 2 (* u2 (PI)))) 2) (* (log u1) (pow (sqrt -2) 2))))))>
#<alt (/ (+ 1/2 (* -1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1))))) (+ 1/4 (* -1/36 (* (pow (cos (* 2 (* u2 (PI)))) 2) (* (log u1) (pow (sqrt -2) 2))))))>
#<alt (/ (+ 1/2 (* -1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1))))) (+ 1/4 (* -1/36 (* (pow (cos (* 2 (* u2 (PI)))) 2) (* (log u1) (pow (sqrt -2) 2))))))>
#<alt (/ (+ 1/2 (* -1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1))))) (+ 1/4 (* -1/36 (* (pow (cos (* 2 (* u2 (PI)))) 2) (* (log u1) (pow (sqrt -2) 2))))))>
#<alt (/ (+ 1/2 (* -1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1))))) (+ 1/4 (* -1/36 (* (pow (cos (* 2 (* u2 (PI)))) 2) (* (log u1) (pow (sqrt -2) 2))))))>
#<alt (/ (+ 1/2 (* -1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1))))) (+ 1/4 (* -1/36 (* (pow (cos (* 2 (* u2 (PI)))) 2) (* (log u1) (pow (sqrt -2) 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 (* -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))))>
#<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))))))>
Calls

90 calls:

TimeVariablePointExpression
48.0ms
u1
@0
(+ (* (* (/ 1 6) (pow (exp 1/2) (log (* -2 (log u1))))) (cos (* (* 2 (PI)) u2))) 1/2)
36.0ms
u1
@-inf
(+ (* (* (/ 1 6) (pow (exp 1/2) (log (* -2 (log u1))))) (cos (* (* 2 (PI)) u2))) 1/2)
23.0ms
u2
@inf
(/ 1 (/ (+ 1/2 (* (* (sqrt (* -2 (log u1))) (cos (* 2 (* (PI) u2)))) -1/6)) (+ 1/4 (* -1/36 (pow (* (sqrt (* -2 (log u1))) (cos (* 2 (* (PI) u2)))) 2)))))
18.0ms
u1
@inf
(+ (* (* (/ 1 6) (pow (exp 1/2) (log (* -2 (log u1))))) (cos (* (* 2 (PI)) u2))) 1/2)
14.0ms
u2
@inf
(+ (* (* (/ 1 6) (pow (exp 1/2) (log (* -2 (log u1))))) (cos (* (* 2 (PI)) u2))) 1/2)

rewrite482.0ms (3.5%)

Memory
-5.7MiB live, 769.0MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
4 302×*-lowering-*.f32
4 302×*-lowering-*.f64
3 360×/-lowering-/.f32
3 360×/-lowering-/.f64
2 842×accelerator-lowering-fma.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
054271
1259268
21729257
08786247
Stop Event
1×iter limit
1×node limit
Counts
26 → 935
Calls
Call 1
Inputs
(/ 1 6)
(+ (* (* (/ 1 6) (* (sqrt (- 0 (log u1))) (sqrt 2))) (cos (* (* 2 (PI)) u2))) 1/2)
(* (* (/ 1 6) (* (sqrt (- 0 (log u1))) (sqrt 2))) (cos (* (* 2 (PI)) u2)))
(* (/ 1 6) (* (sqrt (- 0 (log u1))) (sqrt 2)))
(+ (* (sqrt (log u1)) (* (sqrt -2) 1/6)) 1/2)
(sqrt (log u1))
(log u1)
(* (sqrt -2) 1/6)
(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)))
(+ (* (* (/ 1 6) (pow (exp 1/2) (log (* -2 (log u1))))) (cos (* (* 2 (PI)) u2))) 1/2)
(* (* (/ 1 6) (pow (exp 1/2) (log (* -2 (log u1))))) (cos (* (* 2 (PI)) u2)))
(* (/ 1 6) (pow (exp 1/2) (log (* -2 (log u1)))))
(/ 1 (/ (+ 1/2 (* (* (sqrt (* -2 (log u1))) (cos (* 2 (* (PI) u2)))) -1/6)) (+ 1/4 (* -1/36 (pow (* (sqrt (* -2 (log u1))) (cos (* 2 (* (PI) u2)))) 2)))))
(+ 1/4 (* -1/36 (pow (* (sqrt (* -2 (log u1))) (cos (* 2 (* (PI) u2)))) 2)))
(+ 1/2 (* (* (sqrt (* -2 (log u1))) (cos (* 2 (* (PI) u2)))) -1/6))
(/ (+ 1/2 (* (* (sqrt (* -2 (log u1))) (cos (* 2 (* (PI) u2)))) -1/6)) (+ 1/4 (* -1/36 (pow (* (sqrt (* -2 (log u1))) (cos (* 2 (* (PI) u2)))) 2))))
(PI)
(cos (* (* 2 (PI)) u2))
(sqrt 2)
(sqrt -2)
(* -2 (log u1))
(exp 1/2)
(cos (* 2 (* (PI) u2)))
(sqrt (* -2 (log u1)))
Outputs
#s(literal 1/6 binary64)
(+.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))))))
(+.f64 #s(literal 1/2 binary64) (neg.f64 (*.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)))))
(+.f64 #s(literal 1/2 binary64) (*.f64 (neg.f64 (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)))) (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))) #s(literal -1/6 binary64))))
(+.f64 #s(literal 1/2 binary64) (*.f64 (neg.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 -1/6 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 1/2 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))))
(-.f64 (/.f64 (*.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 (log.f64 u1) #s(literal -2 binary64)) #s(literal 1/36 binary64))) (fma.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) (fma.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) (fma.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)) #s(literal 1/2 binary64))) (/.f64 (*.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 (log.f64 u1) #s(literal -2 binary64)) #s(literal 1/36 binary64))) (fma.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)) #s(literal 1/2 binary64))))
(-.f64 (/.f64 #s(literal 1/4 binary64) (-.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))))))) (/.f64 (*.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 (log.f64 u1) #s(literal -2 binary64)) #s(literal 1/36 binary64))) (-.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))))))))
(-.f64 (/.f64 #s(literal 1/8 binary64) (+.f64 #s(literal 1/4 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 (*.f64 (log.f64 u1) #s(literal -2 binary64)) #s(literal 1/36 binary64)) (*.f64 #s(literal -1/12 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))) (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)))))))) (/.f64 (pow.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 3 binary64)) (+.f64 #s(literal 1/4 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 (*.f64 (log.f64 u1) #s(literal -2 binary64)) #s(literal 1/36 binary64)) (*.f64 #s(literal -1/12 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))) (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)))))))))
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(*.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)))
(exp.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)))))
(exp.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 1/2 binary64) (log.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))) (*.f64 #s(literal 1/2 binary64) (log.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)))))))
(exp.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (log.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)))))))
(exp.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)))) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)) #s(literal 2 binary64))) #s(literal 1/4 binary64)))
(exp.f64 (*.f64 (log.f64 (E.f64)) (*.f64 #s(literal 1/2 binary64) (log.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))))))
(exp.f64 (*.f64 (log.f64 (*.f64 (-.f64 #s(literal 0 binary64) (log.f64 u1)) #s(literal 2 binary64))) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (log.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))))) #s(literal 2 binary64)))
(exp.f64 (fma.f64 (log.f64 (-.f64 #s(literal 0 binary64) (log.f64 u1))) #s(literal 1/2 binary64) (*.f64 (log.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64))))
(exp.f64 (fma.f64 (log.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64) (*.f64 (log.f64 (-.f64 #s(literal 0 binary64) (log.f64 u1))) #s(literal 1/2 binary64))))
(exp.f64 (fma.f64 (log.f64 (log.f64 u1)) #s(literal 1/2 binary64) (*.f64 (log.f64 #s(literal -2 binary64)) #s(literal 1/2 binary64))))
(exp.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (log.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)))) (*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (log.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)))))))
(sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)))
(sqrt.f64 (*.f64 (-.f64 #s(literal 0 binary64) (log.f64 u1)) #s(literal 2 binary64)))
(/.f64 (sqrt.f64 (*.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 u1) #s(literal 3 binary64))) #s(literal 2 binary64))) (log.f64 u1))
(/.f64 (sqrt.f64 (*.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 u1) #s(literal 2 binary64))) #s(literal 2 binary64))) (sqrt.f64 (log.f64 u1)))
(pow.f64 (pow.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (exp.f64 #s(literal 1/2 binary64)) (log.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))))
(pow.f64 (exp.f64 #s(literal 1/2 binary64)) (*.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)))) #s(literal 2 binary64)))
(pow.f64 (exp.f64 #s(literal 1/2 binary64)) (fma.f64 #s(literal 1/2 binary64) (log.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))) (*.f64 #s(literal 1/2 binary64) (log.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))))))
(pow.f64 (exp.f64 #s(literal 1/2 binary64)) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (log.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))))))
(pow.f64 (exp.f64 #s(literal 1/2 binary64)) (*.f64 (log.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal 1 binary64)))
(pow.f64 (exp.f64 #s(literal 1/2 binary64)) (*.f64 (fma.f64 #s(literal 1/2 binary64) (log.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))) (*.f64 #s(literal 1/2 binary64) (log.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))))) #s(literal 1 binary64)))
(pow.f64 (exp.f64 #s(literal 1/2 binary64)) (*.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (log.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))))) #s(literal 1 binary64)))
(pow.f64 (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal 1 binary64))
(pow.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (*.f64 (-.f64 #s(literal 0 binary64) (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 1/8 binary64)) #s(literal 4 binary64))
(pow.f64 (pow.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)) #s(literal 2 binary64)) #s(literal 1/4 binary64))
(pow.f64 (E.f64) (*.f64 #s(literal 1/2 binary64) (log.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)))))
(pow.f64 (E.f64) (*.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)))) #s(literal 1 binary64)))
(pow.f64 (pow.f64 (E.f64) #s(literal 1/2 binary64)) (log.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))))
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(pow.f64 (exp.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1/4 binary64) (log.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)))))
(*.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (log.f64 u1)))
(*.f64 (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 1/4 binary64)))
(*.f64 (pow.f64 #s(literal -2 binary64) #s(literal 1/4 binary64)) (pow.f64 (*.f64 (log.f64 u1) (*.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 #s(literal -2 binary64) #s(literal 1/4 binary64)) (pow.f64 (pow.f64 (*.f64 (log.f64 u1) (*.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal 1/4 binary64)) #s(literal 1 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 3/8 binary64)))
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(*.f64 (exp.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 #s(literal -2 binary64)))) (exp.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (log.f64 u1)))))
(*.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 (*.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)) #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 3/8 binary64)) (pow.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)) #s(literal 1/8 binary64)))
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(*.f64 (pow.f64 (E.f64) (*.f64 #s(literal 1/2 binary64) (log.f64 #s(literal -2 binary64)))) (pow.f64 (E.f64) (*.f64 #s(literal 1/2 binary64) (log.f64 (log.f64 u1)))))
(*.f64 (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1 binary64)) (pow.f64 (sqrt.f64 (log.f64 u1)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (log.f64 u1)) #s(literal 1 binary64)) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (exp.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 #s(literal -2 binary64)))) #s(literal 1 binary64)) (pow.f64 (exp.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (log.f64 u1)))) #s(literal 1 binary64)))
(*.f64 (pow.f64 (pow.f64 (*.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)) #s(literal -2 binary64)) #s(literal 1/4 binary64)) #s(literal 1 binary64)) (pow.f64 (log.f64 u1) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (pow.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)) #s(literal 3/8 binary64)) #s(literal 1 binary64)) (pow.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)) #s(literal 1/8 binary64)))

simplify570.0ms (4.2%)

Memory
28.8MiB live, 1 146.6MiB allocated
Algorithm
1×egg-herbie
Rules
9 938×*-lowering-*.f32
9 938×*-lowering-*.f64
8 942×accelerator-lowering-fma.f32
8 942×accelerator-lowering-fma.f64
4 672×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03848940
111618052
245888040
091087633
Stop Event
1×iter limit
1×node limit
Counts
360 → 360
Calls
Call 1
Inputs
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(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (sqrt 2))) (sqrt (log u1)))))
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (sqrt 2))) (sqrt (log u1)))))
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (sqrt 2))) (sqrt (log u1)))))
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(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (pow (sqrt -1) 2) (sqrt 2))) (sqrt (log (/ 1 u1))))))
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (pow (sqrt -1) 2) (sqrt 2))) (sqrt (log (/ 1 u1))))))
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (pow (sqrt -1) 2) (sqrt 2))) (sqrt (log (/ 1 u1))))))
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(/ (+ 1/2 (* -1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -2) (sqrt -1))) (sqrt (log (/ 1 u1)))))) (+ 1/4 (* 1/36 (* (pow (cos (* 2 (* u2 (PI)))) 2) (* (log (/ 1 u1)) (pow (sqrt -2) 2))))))
(/ (+ 1/2 (* -1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -2) (sqrt -1))) (sqrt (log (/ 1 u1)))))) (+ 1/4 (* 1/36 (* (pow (cos (* 2 (* u2 (PI)))) 2) (* (log (/ 1 u1)) (pow (sqrt -2) 2))))))
(/ (+ 1/2 (* -1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))))) (+ 1/4 (* -1/36 (* (pow (cos (* 2 (* u2 (PI)))) 2) (* (pow (sqrt -2) 2) (+ (log -1) (* -1 (log (/ -1 u1)))))))))
(/ (+ 1/2 (* -1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))))) (+ 1/4 (* -1/36 (* (pow (cos (* 2 (* u2 (PI)))) 2) (* (pow (sqrt -2) 2) (+ (log -1) (* -1 (log (/ -1 u1)))))))))
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(/ (+ 1/2 (* -1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))))) (+ 1/4 (* -1/36 (* (pow (cos (* 2 (* u2 (PI)))) 2) (* (pow (sqrt -2) 2) (+ (log -1) (* -1 (log (/ -1 u1)))))))))
(/ (+ 1/2 (* -1/6 (* (sqrt (log u1)) (sqrt -2)))) (+ 1/4 (* -1/36 (* (log u1) (pow (sqrt -2) 2)))))
(+ (* -1/6 (* (sqrt (log u1)) (/ (sqrt -2) (+ 1/4 (* -1/36 (* (log u1) (pow (sqrt -2) 2))))))) (+ (* (pow u2 2) (- (* 1/3 (* (/ (* (pow (PI) 2) (sqrt -2)) (+ 1/4 (* -1/36 (* (log u1) (pow (sqrt -2) 2))))) (sqrt (log u1)))) (* 1/9 (/ (* (pow (PI) 2) (* (log u1) (* (pow (sqrt -2) 2) (+ 1/2 (* -1/6 (* (sqrt (log u1)) (sqrt -2))))))) (pow (+ 1/4 (* -1/36 (* (log u1) (pow (sqrt -2) 2)))) 2))))) (* 1/2 (/ 1 (+ 1/4 (* -1/36 (* (log u1) (pow (sqrt -2) 2))))))))
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(/ (+ 1/2 (* -1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1))))) (+ 1/4 (* -1/36 (* (pow (cos (* 2 (* u2 (PI)))) 2) (* (log u1) (pow (sqrt -2) 2))))))
(/ (+ 1/2 (* -1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1))))) (+ 1/4 (* -1/36 (* (pow (cos (* 2 (* u2 (PI)))) 2) (* (log u1) (pow (sqrt -2) 2))))))
(/ (+ 1/2 (* -1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1))))) (+ 1/4 (* -1/36 (* (pow (cos (* 2 (* u2 (PI)))) 2) (* (log u1) (pow (sqrt -2) 2))))))
(/ (+ 1/2 (* -1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1))))) (+ 1/4 (* -1/36 (* (pow (cos (* 2 (* u2 (PI)))) 2) (* (log u1) (pow (sqrt -2) 2))))))
(/ (+ 1/2 (* -1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1))))) (+ 1/4 (* -1/36 (* (pow (cos (* 2 (* u2 (PI)))) 2) (* (log u1) (pow (sqrt -2) 2))))))
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(/ (+ 1/2 (* -1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1))))) (+ 1/4 (* -1/36 (* (pow (cos (* 2 (* u2 (PI)))) 2) (* (log u1) (pow (sqrt -2) 2))))))
(/ (+ 1/2 (* -1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1))))) (+ 1/4 (* -1/36 (* (pow (cos (* 2 (* u2 (PI)))) 2) (* (log u1) (pow (sqrt -2) 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))))
(* -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))))
(* (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))))))
Outputs
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (sqrt 2))) (sqrt (log u1)))))
(fma.f64 (cos.f64 (*.f64 u2 (*.f64 (PI.f64) #s(literal 2 binary64)))) (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (log.f64 u1)))) #s(literal 1/2 binary64))
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(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (sqrt 2))) (sqrt (log u1)))))
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(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (pow (sqrt -1) 2) (sqrt 2))) (sqrt (log (/ 1 u1))))))
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(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (pow (sqrt -1) 2) (sqrt 2))) (sqrt (log (/ 1 u1))))))
(fma.f64 (cos.f64 (*.f64 u2 (*.f64 (PI.f64) #s(literal 2 binary64)))) (*.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (log.f64 u1))) (*.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/6 binary64))) #s(literal 1/2 binary64))
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (pow (sqrt -1) 2) (sqrt 2))) (sqrt (log (/ 1 u1))))))
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(*.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 #s(literal -2 binary64)))
(* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1)))
(*.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (log.f64 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 (-.f64 #s(literal 0 binary64) (log.f64 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 (-.f64 #s(literal 0 binary64) (log.f64 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 (-.f64 #s(literal 0 binary64) (log.f64 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 (-.f64 (log.f64 #s(literal -1 binary64)) (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 (-.f64 (log.f64 #s(literal -1 binary64)) (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 (-.f64 (log.f64 #s(literal -1 binary64)) (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 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) u1)))) (sqrt.f64 #s(literal -2 binary64)))

eval532.0ms (3.9%)

Memory
-4.6MiB live, 628.6MiB allocated
Compiler

Compiled 82 180 to 6 679 computations (91.9% saved)

prune243.0ms (1.8%)

Memory
-15.2MiB live, 514.1MiB allocated
Pruning

15 alts after pruning (15 fresh and 0 done)

PrunedKeptTotal
New2 060132 073
Fresh11213
Picked505
Done000
Total2 076152 091
Accuracy
100.0%
Counts
2 091 → 15
Alt Table
Click to see full alt table
StatusAccuracyProgram
97.8%
(fma.f64 (pow.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)) #s(literal 1/4 binary64)) (*.f64 (pow.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)) #s(literal 1/4 binary64)) #s(literal 1/6 binary64)) #s(literal 1/2 binary64))
99.5%
(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))
99.5%
(fma.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal 1/6 binary64)) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))) #s(literal 1/2 binary64))
▶99.6%
(fma.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (log.f64 u1))) (*.f64 (*.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal 2 binary64))) (cos.f64 (*.f64 u2 (*.f64 (PI.f64) #s(literal 2 binary64))))) #s(literal 1/2 binary64))
▶98.1%
(fma.f64 (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal 1/6 binary64) #s(literal 1/2 binary64))
99.3%
(/.f64 (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 (*.f64 (log.f64 u1) #s(literal -2 binary64)) #s(literal 1/36 binary64)) #s(literal -1/4 binary64)) (fma.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)))
▶97.9%
(/.f64 (fma.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) (fma.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal -1/2 binary64)))
97.9%
(/.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)) #s(literal 1/36 binary64))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))))))
98.0%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal 1/2 binary64))))
▶97.8%
(+.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))
97.5%
(+.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))))) #s(literal 1 binary64)) #s(literal 1/2 binary64))
▶98.5%
(+.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) (*.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (log.f64 u1))) (sqrt.f64 #s(literal 2 binary64)))) (fma.f64 u2 (*.f64 u2 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal -2 binary64))) #s(literal 1 binary64))) #s(literal 1/2 binary64))
98.2%
(+.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) (*.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (log.f64 u1))) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64))
99.2%
(*.f64 (fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))))) (*.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)) #s(literal 1/36 binary64)) #s(literal -1/4 binary64)) (/.f64 #s(literal 1 binary64) (fma.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))))
97.8%
(*.f64 (fma.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal -1/2 binary64))))
Compiler

Compiled 626 to 486 computations (22.4% saved)

simplify289.0ms (2.1%)

Memory
10.8MiB live, 203.1MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
✓cost-diff128
(+.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) (pow.f64 (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/4 binary64)) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 1/2 binary64))
✓cost-diff320
(*.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-diff704
(/.f64 #s(literal 1 binary64) #s(literal 6 binary64))
✓cost-diff12288
(pow.f64 (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/4 binary64)) #s(literal 2 binary64))
✓cost-diff0
(fma.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal -1/2 binary64))
✓cost-diff0
(log.f64 u1)
✓cost-diff0
(/.f64 (fma.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) (fma.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal -1/2 binary64)))
✓cost-diff384
(fma.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)) #s(literal 1/36 binary64) #s(literal -1/4 binary64))
✓cost-diff0
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) (*.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (log.f64 u1))) (sqrt.f64 #s(literal 2 binary64))))
✓cost-diff128
(+.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) (*.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (log.f64 u1))) (sqrt.f64 #s(literal 2 binary64)))) (fma.f64 u2 (*.f64 u2 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal -2 binary64))) #s(literal 1 binary64))) #s(literal 1/2 binary64))
✓cost-diff320
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) (*.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (log.f64 u1))) (sqrt.f64 #s(literal 2 binary64)))) (fma.f64 u2 (*.f64 u2 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal -2 binary64))) #s(literal 1 binary64)))
✓cost-diff704
(/.f64 #s(literal 1 binary64) #s(literal 6 binary64))
✓cost-diff-64
(*.f64 (log.f64 u1) #s(literal -2 binary64))
✓cost-diff0
(log.f64 u1)
✓cost-diff0
(sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)))
✓cost-diff0
(fma.f64 (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal 1/6 binary64) #s(literal 1/2 binary64))
✓cost-diff0
(log.f64 u1)
✓cost-diff0
(-.f64 #s(literal 0 binary64) (log.f64 u1))
✓cost-diff0
(sqrt.f64 (-.f64 #s(literal 0 binary64) (log.f64 u1)))
✓cost-diff0
(fma.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (log.f64 u1))) (*.f64 (*.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal 2 binary64))) (cos.f64 (*.f64 u2 (*.f64 (PI.f64) #s(literal 2 binary64))))) #s(literal 1/2 binary64))
Rules
7 746×associate-*r*
6 116×*-lowering-*.f32
6 116×*-lowering-*.f64
3 228×associate-*l*
2 024×*-commutative
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
050298
1107294
2244288
3767288
41006288
51020288
61025288
71027288
81027288
91027288
103391288
113391288
123391288
133391288
143921288
153921288
163921288
176897288
186915288
196915288
207011288
07011277
Stop Event
1×iter limit
1×saturated
Calls
Call 1
Inputs
(+ (* (sqrt (- 0 (log u1))) (* (* 1/6 (sqrt 2)) (cos (* u2 (* (PI) 2))))) 1/2)
(sqrt (- 0 (log u1)))
(- 0 (log u1))
0
(log u1)
u1
(* (* 1/6 (sqrt 2)) (cos (* u2 (* (PI) 2))))
(* 1/6 (sqrt 2))
1/6
(sqrt 2)
2
(cos (* u2 (* (PI) 2)))
(* u2 (* (PI) 2))
u2
(* (PI) 2)
(PI)
1/2
(+ (* (sqrt (* (log u1) -2)) 1/6) 1/2)
(sqrt (* (log u1) -2))
(* (log u1) -2)
(log u1)
u1
-2
1/6
1/2
(+ (* (* (/ 1 6) (* (sqrt (- 0 (log u1))) (sqrt 2))) (+ (* u2 (* u2 (* (* (PI) (PI)) -2))) 1)) 1/2)
(* (* (/ 1 6) (* (sqrt (- 0 (log u1))) (sqrt 2))) (+ (* u2 (* u2 (* (* (PI) (PI)) -2))) 1))
(* (/ 1 6) (* (sqrt (- 0 (log u1))) (sqrt 2)))
(/ 1 6)
1
6
(* (sqrt (- 0 (log u1))) (sqrt 2))
(sqrt (- 0 (log u1)))
(- 0 (log u1))
0
(log u1)
u1
(sqrt 2)
2
(+ (* u2 (* u2 (* (* (PI) (PI)) -2))) 1)
u2
(* u2 (* (* (PI) (PI)) -2))
(* (* (PI) (PI)) -2)
(* (PI) (PI))
(PI)
-2
1/2
(/ (+ (* (* (log u1) -2) 1/36) -1/4) (+ (* 1/6 (sqrt (* (log u1) -2))) -1/2))
(+ (* (* (log u1) -2) 1/36) -1/4)
(* (log u1) -2)
(log u1)
u1
-2
1/36
-1/4
(+ (* 1/6 (sqrt (* (log u1) -2))) -1/2)
1/6
(sqrt (* (log u1) -2))
-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
Outputs
(+ (* (sqrt (- 0 (log u1))) (* (* 1/6 (sqrt 2)) (cos (* u2 (* (PI) 2))))) 1/2)
(fma.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (log.f64 u1))) (*.f64 (*.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal 2 binary64))) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 u2 (PI.f64))))) #s(literal 1/2 binary64))
(sqrt (- 0 (log u1)))
(sqrt.f64 (-.f64 #s(literal 0 binary64) (log.f64 u1)))
(- 0 (log u1))
(-.f64 #s(literal 0 binary64) (log.f64 u1))
0
#s(literal 0 binary64)
(log u1)
(log.f64 u1)
u1
(* (* 1/6 (sqrt 2)) (cos (* u2 (* (PI) 2))))
(*.f64 (*.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal 2 binary64))) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 u2 (PI.f64)))))
(* 1/6 (sqrt 2))
(*.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal 2 binary64)))
1/6
#s(literal 1/6 binary64)
(sqrt 2)
(sqrt.f64 #s(literal 2 binary64))
2
#s(literal 2 binary64)
(cos (* u2 (* (PI) 2)))
(cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 u2 (PI.f64))))
(* u2 (* (PI) 2))
(*.f64 #s(literal 2 binary64) (*.f64 u2 (PI.f64)))
u2
(* (PI) 2)
(*.f64 #s(literal 2 binary64) (PI.f64))
(PI)
(PI.f64)
1/2
#s(literal 1/2 binary64)
(+ (* (sqrt (* (log u1) -2)) 1/6) 1/2)
(fma.f64 #s(literal 1/6 binary64) (sqrt.f64 (fma.f64 (log.f64 u1) #s(literal -2 binary64) #s(literal 0 binary64))) #s(literal 1/2 binary64))
(sqrt (* (log u1) -2))
(sqrt.f64 (fma.f64 (log.f64 u1) #s(literal -2 binary64) #s(literal 0 binary64)))
(* (log u1) -2)
(fma.f64 (log.f64 u1) #s(literal -2 binary64) #s(literal 0 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) (* (sqrt (- 0 (log u1))) (sqrt 2))) (+ (* u2 (* u2 (* (* (PI) (PI)) -2))) 1)) 1/2)
(fma.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (log.f64 u1))) (fma.f64 u2 (*.f64 (*.f64 u2 (*.f64 (PI.f64) (PI.f64))) #s(literal -1/3 binary64)) #s(literal 1/6 binary64))) #s(literal 1/2 binary64))
(* (* (/ 1 6) (* (sqrt (- 0 (log u1))) (sqrt 2))) (+ (* u2 (* u2 (* (* (PI) (PI)) -2))) 1))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (log.f64 u1))) (fma.f64 u2 (*.f64 (*.f64 u2 (*.f64 (PI.f64) (PI.f64))) #s(literal -1/3 binary64)) #s(literal 1/6 binary64))))
(* (/ 1 6) (* (sqrt (- 0 (log 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 (- 0 (log u1))) (sqrt 2))
(*.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (log.f64 u1))) (sqrt.f64 #s(literal 2 binary64)))
(sqrt (- 0 (log u1)))
(sqrt.f64 (-.f64 #s(literal 0 binary64) (log.f64 u1)))
(- 0 (log u1))
(-.f64 #s(literal 0 binary64) (log.f64 u1))
0
#s(literal 0 binary64)
(log u1)
(log.f64 u1)
u1
(sqrt 2)
(sqrt.f64 #s(literal 2 binary64))
2
#s(literal 2 binary64)
(+ (* u2 (* u2 (* (* (PI) (PI)) -2))) 1)
(fma.f64 (*.f64 #s(literal -2 binary64) (*.f64 (PI.f64) (PI.f64))) (*.f64 u2 u2) #s(literal 1 binary64))
u2
(* u2 (* (* (PI) (PI)) -2))
(*.f64 u2 (*.f64 #s(literal -2 binary64) (*.f64 (PI.f64) (PI.f64))))
(* (* (PI) (PI)) -2)
(*.f64 #s(literal -2 binary64) (*.f64 (PI.f64) (PI.f64)))
(* (PI) (PI))
(*.f64 (PI.f64) (PI.f64))
(PI)
(PI.f64)
-2
#s(literal -2 binary64)
1/2
#s(literal 1/2 binary64)
(/ (+ (* (* (log u1) -2) 1/36) -1/4) (+ (* 1/6 (sqrt (* (log u1) -2))) -1/2))
(/.f64 (fma.f64 (log.f64 u1) #s(literal -1/18 binary64) #s(literal -1/4 binary64)) (fma.f64 #s(literal 1/6 binary64) (sqrt.f64 (fma.f64 (log.f64 u1) #s(literal -2 binary64) #s(literal 0 binary64))) #s(literal -1/2 binary64)))
(+ (* (* (log u1) -2) 1/36) -1/4)
(fma.f64 (log.f64 u1) #s(literal -1/18 binary64) #s(literal -1/4 binary64))
(* (log u1) -2)
(fma.f64 (log.f64 u1) #s(literal -2 binary64) #s(literal 0 binary64))
(log u1)
(log.f64 u1)
u1
-2
#s(literal -2 binary64)
1/36
#s(literal 1/36 binary64)
-1/4
#s(literal -1/4 binary64)
(+ (* 1/6 (sqrt (* (log u1) -2))) -1/2)
(fma.f64 #s(literal 1/6 binary64) (sqrt.f64 (fma.f64 (log.f64 u1) #s(literal -2 binary64) #s(literal 0 binary64))) #s(literal -1/2 binary64))
1/6
#s(literal 1/6 binary64)
(sqrt (* (log u1) -2))
(sqrt.f64 (fma.f64 (log.f64 u1) #s(literal -2 binary64) #s(literal 0 binary64)))
-1/2
#s(literal -1/2 binary64)
(+ (* (* (/ 1 6) (pow (pow (* -2 (log u1)) 1/4) 2)) 1) 1/2)
(fma.f64 #s(literal 1/6 binary64) (sqrt.f64 (fma.f64 (log.f64 u1) #s(literal -2 binary64) #s(literal 0 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 (fma.f64 (log.f64 u1) #s(literal -2 binary64) #s(literal 0 binary64))))
(* (/ 1 6) (pow (pow (* -2 (log u1)) 1/4) 2))
(*.f64 #s(literal 1/6 binary64) (sqrt.f64 (fma.f64 (log.f64 u1) #s(literal -2 binary64) #s(literal 0 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 (fma.f64 (log.f64 u1) #s(literal -2 binary64) #s(literal 0 binary64)))
(pow (* -2 (log u1)) 1/4)
(pow.f64 (fma.f64 (log.f64 u1) #s(literal -2 binary64) #s(literal 0 binary64)) #s(literal 1/4 binary64))
(* -2 (log u1))
(fma.f64 (log.f64 u1) #s(literal -2 binary64) #s(literal 0 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)

localize219.0ms (1.6%)

Memory
14.9MiB live, 371.7MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(+.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))
✓accuracy99.5%
(*.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)))
✓accuracy99.0%
(pow.f64 (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/4 binary64)) #s(literal 2 binary64))
✓accuracy99.8%
(sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)))
✓accuracy99.4%
(fma.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal -1/2 binary64))
✓accuracy99.4%
(fma.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)) #s(literal 1/36 binary64) #s(literal -1/4 binary64))
✓accuracy99.4%
(/.f64 (fma.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) (fma.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal -1/2 binary64)))
✓accuracy99.8%
(sqrt.f64 (-.f64 #s(literal 0 binary64) (log.f64 u1)))
✓accuracy99.5%
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) (*.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (log.f64 u1))) (sqrt.f64 #s(literal 2 binary64))))
✓accuracy99.4%
(*.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (log.f64 u1))) (sqrt.f64 #s(literal 2 binary64)))
✓accuracy99.2%
(*.f64 u2 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal -2 binary64)))
✓accuracy100.0%
(*.f64 (log.f64 u1) #s(literal -2 binary64))
✓accuracy100.0%
(log.f64 u1)
✓accuracy99.8%
(sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)))
✓accuracy99.5%
(fma.f64 (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal 1/6 binary64) #s(literal 1/2 binary64))
✓accuracy100.0%
(cos.f64 (*.f64 u2 (*.f64 (PI.f64) #s(literal 2 binary64))))
✓accuracy99.8%
(sqrt.f64 (-.f64 #s(literal 0 binary64) (log.f64 u1)))
✓accuracy99.6%
(fma.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (log.f64 u1))) (*.f64 (*.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal 2 binary64))) (cos.f64 (*.f64 u2 (*.f64 (PI.f64) #s(literal 2 binary64))))) #s(literal 1/2 binary64))
✓accuracy99.6%
(*.f64 u2 (*.f64 (PI.f64) #s(literal 2 binary64)))
Samples
116.0ms256×0valid
Compiler

Compiled 330 to 52 computations (84.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 81.0ms
ival-mult: 40.0ms (49.2% of total)
ival-add: 9.0ms (11.1% of total)
const: 7.0ms (8.6% of total)
ival-sqrt: 5.0ms (6.2% of total)
ival-pow: 5.0ms (6.2% of total)
ival-log: 4.0ms (4.9% of total)
ival-div: 3.0ms (3.7% of total)
ival-pow2: 3.0ms (3.7% of total)
ival-cos: 2.0ms (2.5% of total)
ival-pi: 1.0ms (1.2% of total)
ival-sub: 1.0ms (1.2% of total)
exact: 1.0ms (1.2% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series24.0ms (0.2%)

Memory
13.8MiB live, 50.5MiB allocated
Counts
23 → 300
Calls
Call 1
Inputs
#<alt (+ (* (sqrt (- 0 (log u1))) (* (* 1/6 (sqrt 2)) (cos (* u2 (* (PI) 2))))) 1/2)>
#<alt (sqrt (- 0 (log u1)))>
#<alt (- 0 (log u1))>
#<alt (log u1)>
#<alt (+ (* (sqrt (* (log u1) -2)) 1/6) 1/2)>
#<alt (sqrt (* (log u1) -2))>
#<alt (* (log u1) -2)>
#<alt (/ 1 6)>
#<alt (* (* (/ 1 6) (* (sqrt (- 0 (log u1))) (sqrt 2))) (+ (* u2 (* u2 (* (* (PI) (PI)) -2))) 1))>
#<alt (+ (* (* (/ 1 6) (* (sqrt (- 0 (log u1))) (sqrt 2))) (+ (* u2 (* u2 (* (* (PI) (PI)) -2))) 1)) 1/2)>
#<alt (* (/ 1 6) (* (sqrt (- 0 (log u1))) (sqrt 2)))>
#<alt (+ (* (* (log u1) -2) 1/36) -1/4)>
#<alt (/ (+ (* (* (log u1) -2) 1/36) -1/4) (+ (* 1/6 (sqrt (* (log u1) -2))) -1/2))>
#<alt (+ (* 1/6 (sqrt (* (log u1) -2))) -1/2)>
#<alt (pow (pow (* -2 (log u1)) 1/4) 2)>
#<alt (* (* (/ 1 6) (pow (pow (* -2 (log u1)) 1/4) 2)) 1)>
#<alt (+ (* (* (/ 1 6) (pow (pow (* -2 (log u1)) 1/4) 2)) 1) 1/2)>
#<alt (* u2 (* (PI) 2))>
#<alt (cos (* u2 (* (PI) 2)))>
#<alt (* u2 (* (* (PI) (PI)) -2))>
#<alt (* (sqrt (- 0 (log u1))) (sqrt 2))>
#<alt (* (/ 1 6) (pow (pow (* -2 (log u1)) 1/4) 2))>
#<alt (pow (* -2 (log u1)) 1/4)>
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)))) (* (pow (sqrt -1) 2) (sqrt 2))) (sqrt (log (/ 1 u1))))))>
#<alt (+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (pow (sqrt -1) 2) (sqrt 2))) (sqrt (log (/ 1 u1))))))>
#<alt (+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (pow (sqrt -1) 2) (sqrt 2))) (sqrt (log (/ 1 u1))))))>
#<alt (+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (pow (sqrt -1) 2) (sqrt 2))) (sqrt (log (/ 1 u1))))))>
#<alt (+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (sqrt 2))) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))))>
#<alt (+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (sqrt 2))) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))))>
#<alt (+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (sqrt 2))) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))))>
#<alt (+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (sqrt 2))) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))))>
#<alt (+ 1/2 (* 1/6 (* (sqrt (log u1)) (* (sqrt -1) (sqrt 2)))))>
#<alt (+ 1/2 (+ (* -1/3 (* (* (pow u2 2) (* (pow (PI) 2) (* (sqrt -1) (sqrt 2)))) (sqrt (log u1)))) (* 1/6 (* (sqrt (log u1)) (* (sqrt -1) (sqrt 2))))))>
#<alt (+ 1/2 (+ (* 1/6 (* (sqrt (log u1)) (* (sqrt -1) (sqrt 2)))) (* (pow u2 2) (+ (* -1/3 (* (* (pow (PI) 2) (* (sqrt -1) (sqrt 2))) (sqrt (log u1)))) (* 1/9 (* (* (pow u2 2) (* (pow (PI) 4) (* (sqrt -1) (sqrt 2)))) (sqrt (log u1))))))))>
#<alt (+ 1/2 (+ (* 1/6 (* (sqrt (log u1)) (* (sqrt -1) (sqrt 2)))) (* (pow u2 2) (+ (* -1/3 (* (* (pow (PI) 2) (* (sqrt -1) (sqrt 2))) (sqrt (log u1)))) (* (pow u2 2) (+ (* -2/135 (* (* (pow u2 2) (* (pow (PI) 6) (* (sqrt -1) (sqrt 2)))) (sqrt (log u1)))) (* 1/9 (* (* (pow (PI) 4) (* (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 -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 -1) (sqrt 2))) (sqrt (log u1)))))>
#<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))) (pow (sqrt -1) 2))>
#<alt (* (sqrt (log (/ 1 u1))) (pow (sqrt -1) 2))>
#<alt (* (sqrt (log (/ 1 u1))) (pow (sqrt -1) 2))>
#<alt (* (sqrt (log (/ 1 u1))) (pow (sqrt -1) 2))>
#<alt (* (sqrt -1) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))>
#<alt (* (sqrt -1) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))>
#<alt (* (sqrt -1) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))>
#<alt (* (sqrt -1) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))>
#<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 (* -1 (+ (log -1) (* -1 (log (/ -1 u1)))))>
#<alt (* -1 (+ (log -1) (* -1 (log (/ -1 u1)))))>
#<alt (* -1 (+ (log -1) (* -1 (log (/ -1 u1)))))>
#<alt (* -1 (+ (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 (+ 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 (* (sqrt (log u1)) (sqrt -2))>
#<alt (* (sqrt (log u1)) (sqrt -2))>
#<alt (* (sqrt (log u1)) (sqrt -2))>
#<alt (* (sqrt (log u1)) (sqrt -2))>
#<alt (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1)))>
#<alt (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1)))>
#<alt (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1)))>
#<alt (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1)))>
#<alt (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))>
#<alt (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))>
#<alt (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))>
#<alt (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))>
#<alt (* -2 (log u1))>
#<alt (* -2 (log u1))>
#<alt (* -2 (log u1))>
#<alt (* -2 (log u1))>
#<alt (* 2 (log (/ 1 u1)))>
#<alt (* 2 (log (/ 1 u1)))>
#<alt (* 2 (log (/ 1 u1)))>
#<alt (* 2 (log (/ 1 u1)))>
#<alt (* -2 (+ (log -1) (* -1 (log (/ -1 u1)))))>
#<alt (* -2 (+ (log -1) (* -1 (log (/ -1 u1)))))>
#<alt (* -2 (+ (log -1) (* -1 (log (/ -1 u1)))))>
#<alt (* -2 (+ (log -1) (* -1 (log (/ -1 u1)))))>
#<alt (* 1/6 (* (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))) (* (pow (sqrt -1) 2) (* (sqrt 2) (+ 1 (* -2 (* (pow u2 2) (pow (PI) 2))))))))>
#<alt (* 1/6 (* (sqrt (log (/ 1 u1))) (* (pow (sqrt -1) 2) (* (sqrt 2) (+ 1 (* -2 (* (pow u2 2) (pow (PI) 2))))))))>
#<alt (* 1/6 (* (sqrt (log (/ 1 u1))) (* (pow (sqrt -1) 2) (* (sqrt 2) (+ 1 (* -2 (* (pow u2 2) (pow (PI) 2))))))))>
#<alt (* 1/6 (* (sqrt (log (/ 1 u1))) (* (pow (sqrt -1) 2) (* (sqrt 2) (+ 1 (* -2 (* (pow u2 2) (pow (PI) 2))))))))>
#<alt (* 1/6 (* (* (sqrt -1) (* (sqrt 2) (+ 1 (* -2 (* (pow u2 2) (pow (PI) 2)))))) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))))>
#<alt (* 1/6 (* (* (sqrt -1) (* (sqrt 2) (+ 1 (* -2 (* (pow u2 2) (pow (PI) 2)))))) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))))>
#<alt (* 1/6 (* (* (sqrt -1) (* (sqrt 2) (+ 1 (* -2 (* (pow u2 2) (pow (PI) 2)))))) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))))>
#<alt (* 1/6 (* (* (sqrt -1) (* (sqrt 2) (+ 1 (* -2 (* (pow u2 2) (pow (PI) 2)))))) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))))>
#<alt (* 1/6 (* (sqrt (log u1)) (* (sqrt -1) (sqrt 2))))>
#<alt (+ (* -1/3 (* (* (pow u2 2) (* (pow (PI) 2) (* (sqrt -1) (sqrt 2)))) (sqrt (log u1)))) (* 1/6 (* (sqrt (log u1)) (* (sqrt -1) (sqrt 2)))))>
#<alt (+ (* -1/3 (* (* (pow u2 2) (* (pow (PI) 2) (* (sqrt -1) (sqrt 2)))) (sqrt (log u1)))) (* 1/6 (* (sqrt (log u1)) (* (sqrt -1) (sqrt 2)))))>
#<alt (+ (* -1/3 (* (* (pow u2 2) (* (pow (PI) 2) (* (sqrt -1) (sqrt 2)))) (sqrt (log u1)))) (* 1/6 (* (sqrt (log u1)) (* (sqrt -1) (sqrt 2)))))>
#<alt (* -1/3 (* (* (pow u2 2) (* (pow (PI) 2) (* (sqrt -1) (sqrt 2)))) (sqrt (log u1))))>
#<alt (* (pow u2 2) (+ (* -1/3 (* (* (pow (PI) 2) (* (sqrt -1) (sqrt 2))) (sqrt (log u1)))) (* 1/6 (* (/ (* (sqrt -1) (sqrt 2)) (pow u2 2)) (sqrt (log u1))))))>
#<alt (* (pow u2 2) (+ (* -1/3 (* (* (pow (PI) 2) (* (sqrt -1) (sqrt 2))) (sqrt (log u1)))) (* 1/6 (* (/ (* (sqrt -1) (sqrt 2)) (pow u2 2)) (sqrt (log u1))))))>
#<alt (* (pow u2 2) (+ (* -1/3 (* (* (pow (PI) 2) (* (sqrt -1) (sqrt 2))) (sqrt (log u1)))) (* 1/6 (* (/ (* (sqrt -1) (sqrt 2)) (pow u2 2)) (sqrt (log u1))))))>
#<alt (* -1/3 (* (* (pow u2 2) (* (pow (PI) 2) (* (sqrt -1) (sqrt 2)))) (sqrt (log u1))))>
#<alt (* (pow u2 2) (+ (* -1/3 (* (* (pow (PI) 2) (* (sqrt -1) (sqrt 2))) (sqrt (log u1)))) (* 1/6 (* (/ (* (sqrt -1) (sqrt 2)) (pow u2 2)) (sqrt (log u1))))))>
#<alt (* (pow u2 2) (+ (* -1/3 (* (* (pow (PI) 2) (* (sqrt -1) (sqrt 2))) (sqrt (log u1)))) (* 1/6 (* (/ (* (sqrt -1) (sqrt 2)) (pow u2 2)) (sqrt (log u1))))))>
#<alt (* (pow u2 2) (+ (* -1/3 (* (* (pow (PI) 2) (* (sqrt -1) (sqrt 2))) (sqrt (log u1)))) (* 1/6 (* (/ (* (sqrt -1) (sqrt 2)) (pow u2 2)) (sqrt (log u1))))))>
#<alt (+ 1/2 (* 1/6 (* (sqrt (log u1)) (* (sqrt -1) (* (sqrt 2) (+ 1 (* -2 (* (pow u2 2) (pow (PI) 2)))))))))>
#<alt (+ 1/2 (* 1/6 (* (sqrt (log u1)) (* (sqrt -1) (* (sqrt 2) (+ 1 (* -2 (* (pow u2 2) (pow (PI) 2)))))))))>
#<alt (+ 1/2 (* 1/6 (* (sqrt (log u1)) (* (sqrt -1) (* (sqrt 2) (+ 1 (* -2 (* (pow u2 2) (pow (PI) 2)))))))))>
#<alt (+ 1/2 (* 1/6 (* (sqrt (log u1)) (* (sqrt -1) (* (sqrt 2) (+ 1 (* -2 (* (pow u2 2) (pow (PI) 2)))))))))>
#<alt (+ 1/2 (* 1/6 (* (sqrt (log (/ 1 u1))) (* (pow (sqrt -1) 2) (* (sqrt 2) (+ 1 (* -2 (* (pow u2 2) (pow (PI) 2)))))))))>
#<alt (+ 1/2 (* 1/6 (* (sqrt (log (/ 1 u1))) (* (pow (sqrt -1) 2) (* (sqrt 2) (+ 1 (* -2 (* (pow u2 2) (pow (PI) 2)))))))))>
#<alt (+ 1/2 (* 1/6 (* (sqrt (log (/ 1 u1))) (* (pow (sqrt -1) 2) (* (sqrt 2) (+ 1 (* -2 (* (pow u2 2) (pow (PI) 2)))))))))>
#<alt (+ 1/2 (* 1/6 (* (sqrt (log (/ 1 u1))) (* (pow (sqrt -1) 2) (* (sqrt 2) (+ 1 (* -2 (* (pow u2 2) (pow (PI) 2)))))))))>
#<alt (+ 1/2 (* 1/6 (* (* (sqrt -1) (* (sqrt 2) (+ 1 (* -2 (* (pow u2 2) (pow (PI) 2)))))) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))))>
#<alt (+ 1/2 (* 1/6 (* (* (sqrt -1) (* (sqrt 2) (+ 1 (* -2 (* (pow u2 2) (pow (PI) 2)))))) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))))>
#<alt (+ 1/2 (* 1/6 (* (* (sqrt -1) (* (sqrt 2) (+ 1 (* -2 (* (pow u2 2) (pow (PI) 2)))))) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))))>
#<alt (+ 1/2 (* 1/6 (* (* (sqrt -1) (* (sqrt 2) (+ 1 (* -2 (* (pow u2 2) (pow (PI) 2)))))) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))))>
#<alt (+ 1/2 (* 1/6 (* (sqrt (log u1)) (* (sqrt -1) (sqrt 2)))))>
#<alt (+ 1/2 (+ (* -1/3 (* (* (pow u2 2) (* (pow (PI) 2) (* (sqrt -1) (sqrt 2)))) (sqrt (log u1)))) (* 1/6 (* (sqrt (log u1)) (* (sqrt -1) (sqrt 2))))))>
#<alt (+ 1/2 (+ (* -1/3 (* (* (pow u2 2) (* (pow (PI) 2) (* (sqrt -1) (sqrt 2)))) (sqrt (log u1)))) (* 1/6 (* (sqrt (log u1)) (* (sqrt -1) (sqrt 2))))))>
#<alt (+ 1/2 (+ (* -1/3 (* (* (pow u2 2) (* (pow (PI) 2) (* (sqrt -1) (sqrt 2)))) (sqrt (log u1)))) (* 1/6 (* (sqrt (log u1)) (* (sqrt -1) (sqrt 2))))))>
#<alt (* -1/3 (* (* (pow u2 2) (* (pow (PI) 2) (* (sqrt -1) (sqrt 2)))) (sqrt (log u1))))>
#<alt (* (pow u2 2) (+ (* -1/3 (* (* (pow (PI) 2) (* (sqrt -1) (sqrt 2))) (sqrt (log u1)))) (+ (* 1/6 (* (/ (* (sqrt -1) (sqrt 2)) (pow u2 2)) (sqrt (log u1)))) (* 1/2 (/ 1 (pow u2 2))))))>
#<alt (* (pow u2 2) (+ (* -1/3 (* (* (pow (PI) 2) (* (sqrt -1) (sqrt 2))) (sqrt (log u1)))) (+ (* 1/6 (* (/ (* (sqrt -1) (sqrt 2)) (pow u2 2)) (sqrt (log u1)))) (* 1/2 (/ 1 (pow u2 2))))))>
#<alt (* (pow u2 2) (+ (* -1/3 (* (* (pow (PI) 2) (* (sqrt -1) (sqrt 2))) (sqrt (log u1)))) (+ (* 1/6 (* (/ (* (sqrt -1) (sqrt 2)) (pow u2 2)) (sqrt (log u1)))) (* 1/2 (/ 1 (pow u2 2))))))>
#<alt (* -1/3 (* (* (pow u2 2) (* (pow (PI) 2) (* (sqrt -1) (sqrt 2)))) (sqrt (log u1))))>
#<alt (* (pow u2 2) (+ (* -1/3 (* (* (pow (PI) 2) (* (sqrt -1) (sqrt 2))) (sqrt (log u1)))) (+ (* 1/6 (* (/ (* (sqrt -1) (sqrt 2)) (pow u2 2)) (sqrt (log u1)))) (* 1/2 (/ 1 (pow u2 2))))))>
#<alt (* (pow u2 2) (+ (* -1/3 (* (* (pow (PI) 2) (* (sqrt -1) (sqrt 2))) (sqrt (log u1)))) (+ (* 1/6 (* (/ (* (sqrt -1) (sqrt 2)) (pow u2 2)) (sqrt (log u1)))) (* 1/2 (/ 1 (pow u2 2))))))>
#<alt (* (pow u2 2) (+ (* -1/3 (* (* (pow (PI) 2) (* (sqrt -1) (sqrt 2))) (sqrt (log u1)))) (+ (* 1/6 (* (/ (* (sqrt -1) (sqrt 2)) (pow u2 2)) (sqrt (log u1)))) (* 1/2 (/ 1 (pow u2 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 u1)) (* (sqrt -1) (sqrt 2))))>
#<alt (* 1/6 (* (sqrt (log (/ 1 u1))) (* (pow (sqrt -1) 2) (sqrt 2))))>
#<alt (* 1/6 (* (sqrt (log (/ 1 u1))) (* (pow (sqrt -1) 2) (sqrt 2))))>
#<alt (* 1/6 (* (sqrt (log (/ 1 u1))) (* (pow (sqrt -1) 2) (sqrt 2))))>
#<alt (* 1/6 (* (sqrt (log (/ 1 u1))) (* (pow (sqrt -1) 2) (sqrt 2))))>
#<alt (* 1/6 (* (* (sqrt -1) (sqrt 2)) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))))>
#<alt (* 1/6 (* (* (sqrt -1) (sqrt 2)) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))))>
#<alt (* 1/6 (* (* (sqrt -1) (sqrt 2)) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))))>
#<alt (* 1/6 (* (* (sqrt -1) (sqrt 2)) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))))>
#<alt (- (* -1/18 (log u1)) 1/4)>
#<alt (- (* -1/18 (log u1)) 1/4)>
#<alt (- (* -1/18 (log u1)) 1/4)>
#<alt (- (* -1/18 (log u1)) 1/4)>
#<alt (- (* 1/18 (log (/ 1 u1))) 1/4)>
#<alt (- (* 1/18 (log (/ 1 u1))) 1/4)>
#<alt (- (* 1/18 (log (/ 1 u1))) 1/4)>
#<alt (- (* 1/18 (log (/ 1 u1))) 1/4)>
#<alt (- (* -1/18 (+ (log -1) (* -1 (log (/ -1 u1))))) 1/4)>
#<alt (- (* -1/18 (+ (log -1) (* -1 (log (/ -1 u1))))) 1/4)>
#<alt (- (* -1/18 (+ (log -1) (* -1 (log (/ -1 u1))))) 1/4)>
#<alt (- (* -1/18 (+ (log -1) (* -1 (log (/ -1 u1))))) 1/4)>
#<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 (- (* 1/6 (* (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 (* (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 (* 2 (* u2 (PI)))>
#<alt (* 2 (* u2 (PI)))>
#<alt (* 2 (* u2 (PI)))>
#<alt (* 2 (* u2 (PI)))>
#<alt (* 2 (* u2 (PI)))>
#<alt (* 2 (* u2 (PI)))>
#<alt (* 2 (* u2 (PI)))>
#<alt (* 2 (* u2 (PI)))>
#<alt (* 2 (* u2 (PI)))>
#<alt (* 2 (* u2 (PI)))>
#<alt (* 2 (* u2 (PI)))>
#<alt (* 2 (* u2 (PI)))>
#<alt 1>
#<alt (+ 1 (* -2 (* (pow u2 2) (pow (PI) 2))))>
#<alt (+ 1 (* (pow u2 2) (+ (* -2 (pow (PI) 2)) (* 2/3 (* (pow u2 2) (pow (PI) 4))))))>
#<alt (+ 1 (* (pow u2 2) (+ (* -2 (pow (PI) 2)) (* (pow u2 2) (+ (* -4/45 (* (pow u2 2) (pow (PI) 6))) (* 2/3 (pow (PI) 4)))))))>
#<alt (cos (* 2 (* u2 (PI))))>
#<alt (cos (* 2 (* u2 (PI))))>
#<alt (cos (* 2 (* u2 (PI))))>
#<alt (cos (* 2 (* u2 (PI))))>
#<alt (cos (* 2 (* u2 (PI))))>
#<alt (cos (* 2 (* u2 (PI))))>
#<alt (cos (* 2 (* u2 (PI))))>
#<alt (cos (* 2 (* u2 (PI))))>
#<alt (* -2 (* u2 (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 (* -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 (* -2 (* u2 (pow (PI) 2)))>
#<alt (* -2 (* u2 (pow (PI) 2)))>
#<alt (* (sqrt (log u1)) (* (sqrt -1) (sqrt 2)))>
#<alt (* (sqrt (log u1)) (* (sqrt -1) (sqrt 2)))>
#<alt (* (sqrt (log u1)) (* (sqrt -1) (sqrt 2)))>
#<alt (* (sqrt (log u1)) (* (sqrt -1) (sqrt 2)))>
#<alt (* (sqrt (log (/ 1 u1))) (* (pow (sqrt -1) 2) (sqrt 2)))>
#<alt (* (sqrt (log (/ 1 u1))) (* (pow (sqrt -1) 2) (sqrt 2)))>
#<alt (* (sqrt (log (/ 1 u1))) (* (pow (sqrt -1) 2) (sqrt 2)))>
#<alt (* (sqrt (log (/ 1 u1))) (* (pow (sqrt -1) 2) (sqrt 2)))>
#<alt (* (* (sqrt -1) (sqrt 2)) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))>
#<alt (* (* (sqrt -1) (sqrt 2)) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))>
#<alt (* (* (sqrt -1) (sqrt 2)) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))>
#<alt (* (* (sqrt -1) (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 (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)>
Calls

75 calls:

TimeVariablePointExpression
6.0ms
u2
@0
(* (* (/ 1 6) (* (sqrt (- 0 (log u1))) (sqrt 2))) (+ (* u2 (* u2 (* (* (PI) (PI)) -2))) 1))
2.0ms
u1
@0
(* (* (/ 1 6) (* (sqrt (- 0 (log u1))) (sqrt 2))) (+ (* u2 (* u2 (* (* (PI) (PI)) -2))) 1))
1.0ms
u2
@inf
(* (* (/ 1 6) (* (sqrt (- 0 (log u1))) (sqrt 2))) (+ (* u2 (* u2 (* (* (PI) (PI)) -2))) 1))
1.0ms
u1
@-inf
(/ (+ (* (* (log u1) -2) 1/36) -1/4) (+ (* 1/6 (sqrt (* (log u1) -2))) -1/2))
1.0ms
u1
@inf
(* (* (/ 1 6) (* (sqrt (- 0 (log u1))) (sqrt 2))) (+ (* u2 (* u2 (* (* (PI) (PI)) -2))) 1))

rewrite587.0ms (4.3%)

Memory
-42.7MiB live, 534.3MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
4 884×*-lowering-*.f32
4 884×*-lowering-*.f64
4 308×accelerator-lowering-fma.f32
4 308×accelerator-lowering-fma.f64
3 844×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
050179
1259178
21578167
08545158
Stop Event
1×iter limit
1×node limit
Counts
23 → 1 033
Calls
Call 1
Inputs
(+ (* (sqrt (- 0 (log u1))) (* (* 1/6 (sqrt 2)) (cos (* u2 (* (PI) 2))))) 1/2)
(sqrt (- 0 (log u1)))
(- 0 (log u1))
(log u1)
(+ (* (sqrt (* (log u1) -2)) 1/6) 1/2)
(sqrt (* (log u1) -2))
(* (log u1) -2)
(/ 1 6)
(* (* (/ 1 6) (* (sqrt (- 0 (log u1))) (sqrt 2))) (+ (* u2 (* u2 (* (* (PI) (PI)) -2))) 1))
(+ (* (* (/ 1 6) (* (sqrt (- 0 (log u1))) (sqrt 2))) (+ (* u2 (* u2 (* (* (PI) (PI)) -2))) 1)) 1/2)
(* (/ 1 6) (* (sqrt (- 0 (log u1))) (sqrt 2)))
(+ (* (* (log u1) -2) 1/36) -1/4)
(/ (+ (* (* (log u1) -2) 1/36) -1/4) (+ (* 1/6 (sqrt (* (log u1) -2))) -1/2))
(+ (* 1/6 (sqrt (* (log u1) -2))) -1/2)
(pow (pow (* -2 (log u1)) 1/4) 2)
(* (* (/ 1 6) (pow (pow (* -2 (log u1)) 1/4) 2)) 1)
(+ (* (* (/ 1 6) (pow (pow (* -2 (log u1)) 1/4) 2)) 1) 1/2)
(* u2 (* (PI) 2))
(cos (* u2 (* (PI) 2)))
(* u2 (* (* (PI) (PI)) -2))
(* (sqrt (- 0 (log u1))) (sqrt 2))
(* (/ 1 6) (pow (pow (* -2 (log u1)) 1/4) 2))
(pow (* -2 (log u1)) 1/4)
Outputs
(+.f64 (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 u2 (PI.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 1/2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 u2 (PI.f64)))) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))))))
(-.f64 (/.f64 (*.f64 (*.f64 (log.f64 u1) #s(literal -1/18 binary64)) (+.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 u2 (PI.f64)))))))) (fma.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 u2 (PI.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 1/4 binary64) (fma.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 u2 (PI.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 1/4 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 u2 (PI.f64)))) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))))))) (/.f64 (*.f64 (*.f64 (log.f64 u1) #s(literal -1/18 binary64)) (+.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 u2 (PI.f64)))))))) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 u2 (PI.f64)))) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))))))))
(fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 u2 (PI.f64))))) (sqrt.f64 (log.f64 u1))) #s(literal 1/2 binary64))
(fma.f64 (*.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 u2 (PI.f64)))) (sqrt.f64 (log.f64 u1))) #s(literal 1/2 binary64))
(fma.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 u2 (PI.f64)))) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)))) #s(literal 1/2 binary64))
(fma.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal 2 binary64))) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 u2 (PI.f64))))) (sqrt.f64 (log.f64 u1)) #s(literal 1/2 binary64))
(fma.f64 (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)))) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 u2 (PI.f64)))) #s(literal 1/2 binary64))
(fma.f64 (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (log.f64 u1))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 u2 (PI.f64))))) #s(literal 1/2 binary64))
(fma.f64 (sqrt.f64 (log.f64 u1)) (*.f64 (*.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal 2 binary64))) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 u2 (PI.f64))))) #s(literal 1/2 binary64))
(fma.f64 (*.f64 (sqrt.f64 (log.f64 u1)) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 u2 (PI.f64))))) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/2 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 u2 (PI.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 (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 u2 (PI.f64)))) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)))) #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/4 binary64) (-.f64 (*.f64 (*.f64 (log.f64 u1) #s(literal -1/18 binary64)) (+.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 u2 (PI.f64)))))))) (*.f64 (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)))) (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 u2 (PI.f64)))) #s(literal 1/2 binary64))))) (+.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 (*.f64 (log.f64 u1) #s(literal -1/18 binary64)) (+.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 u2 (PI.f64)))))))) #s(literal 3/2 binary64)))))
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(*.f64 (pow.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)) #s(literal 1/8 binary64)) (pow.f64 (pow.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)) #s(literal 3/8 binary64)) #s(literal 1 binary64)))
(*.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (sqrt.f64 (log.f64 u1)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (*.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)) #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 3/8 binary64)) (pow.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)) #s(literal 1/8 binary64)))
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(*.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))))
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(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 1/8 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 #s(literal -2 binary64) #s(literal 1/4 binary64)) (pow.f64 (log.f64 u1) #s(literal 1/4 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 (*.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)))

simplify782.0ms (5.7%)

Memory
26.5MiB live, 1 207.3MiB allocated
Algorithm
1×egg-herbie
Rules
24 944×accelerator-lowering-fma.f32
24 944×accelerator-lowering-fma.f64
5 624×*-lowering-*.f32
5 624×*-lowering-*.f64
3 658×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01654216
14584052
215353932
328543808
446753792
571953792
080643620
Stop Event
1×iter limit
1×node limit
Counts
300 → 300
Calls
Call 1
Inputs
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(* 1/6 (* (* (sqrt -1) (sqrt 2)) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))))
(* 1/6 (* (* (sqrt -1) (sqrt 2)) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))))
(- (* -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))))) 1/4)
(/ (- (* -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 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))
(- (* 1/6 (* (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)
(* (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))))))
(* 1/6 (* (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 (* 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))))))))
(* 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)))
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))))
(* -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 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))) (* (pow (sqrt -1) 2) (sqrt 2)))
(* (sqrt (log (/ 1 u1))) (* (pow (sqrt -1) 2) (sqrt 2)))
(* (sqrt (log (/ 1 u1))) (* (pow (sqrt -1) 2) (sqrt 2)))
(* (sqrt (log (/ 1 u1))) (* (pow (sqrt -1) 2) (sqrt 2)))
(* (* (sqrt -1) (sqrt 2)) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))
(* (* (sqrt -1) (sqrt 2)) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))
(* (* (sqrt -1) (sqrt 2)) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))
(* (* (sqrt -1) (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)))))))
(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)
Outputs
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (sqrt 2))) (sqrt (log u1)))))
(fma.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 u2 (PI.f64)))) (*.f64 (sqrt.f64 (log.f64 u1)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal 2 binary64))))) #s(literal 1/2 binary64))
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (sqrt 2))) (sqrt (log u1)))))
(fma.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 u2 (PI.f64)))) (*.f64 (sqrt.f64 (log.f64 u1)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal 2 binary64))))) #s(literal 1/2 binary64))
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (sqrt 2))) (sqrt (log u1)))))
(fma.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 u2 (PI.f64)))) (*.f64 (sqrt.f64 (log.f64 u1)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal 2 binary64))))) #s(literal 1/2 binary64))
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (sqrt 2))) (sqrt (log u1)))))
(fma.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 u2 (PI.f64)))) (*.f64 (sqrt.f64 (log.f64 u1)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal 2 binary64))))) #s(literal 1/2 binary64))
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (pow (sqrt -1) 2) (sqrt 2))) (sqrt (log (/ 1 u1))))))
(fma.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 u2 (PI.f64)))) (*.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (log.f64 u1))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -1/6 binary64))) #s(literal 1/2 binary64))
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (pow (sqrt -1) 2) (sqrt 2))) (sqrt (log (/ 1 u1))))))
(fma.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 u2 (PI.f64)))) (*.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (log.f64 u1))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -1/6 binary64))) #s(literal 1/2 binary64))
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (pow (sqrt -1) 2) (sqrt 2))) (sqrt (log (/ 1 u1))))))
(fma.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 u2 (PI.f64)))) (*.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (log.f64 u1))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -1/6 binary64))) #s(literal 1/2 binary64))
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (pow (sqrt -1) 2) (sqrt 2))) (sqrt (log (/ 1 u1))))))
(fma.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 u2 (PI.f64)))) (*.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (log.f64 u1))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -1/6 binary64))) #s(literal 1/2 binary64))
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (sqrt 2))) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))))
(fma.f64 (sqrt.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) u1)))) (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 u2 (PI.f64)))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal 2 binary64))))) #s(literal 1/2 binary64))
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (sqrt 2))) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))))
(fma.f64 (sqrt.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) u1)))) (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 u2 (PI.f64)))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal 2 binary64))))) #s(literal 1/2 binary64))
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (sqrt 2))) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))))
(fma.f64 (sqrt.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) u1)))) (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 u2 (PI.f64)))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal 2 binary64))))) #s(literal 1/2 binary64))
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (sqrt 2))) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))))
(fma.f64 (sqrt.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) u1)))) (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 u2 (PI.f64)))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal 2 binary64))))) #s(literal 1/2 binary64))
(+ 1/2 (* 1/6 (* (sqrt (log u1)) (* (sqrt -1) (sqrt 2)))))
(fma.f64 (sqrt.f64 (log.f64 u1)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 1/2 binary64))
(+ 1/2 (+ (* -1/3 (* (* (pow u2 2) (* (pow (PI) 2) (* (sqrt -1) (sqrt 2)))) (sqrt (log u1)))) (* 1/6 (* (sqrt (log u1)) (* (sqrt -1) (sqrt 2))))))
(fma.f64 (sqrt.f64 (log.f64 u1)) (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 #s(literal -1/3 binary64) (*.f64 u2 (*.f64 u2 (*.f64 (PI.f64) (PI.f64)))) #s(literal 1/6 binary64))) #s(literal 1/2 binary64))
(+ 1/2 (+ (* 1/6 (* (sqrt (log u1)) (* (sqrt -1) (sqrt 2)))) (* (pow u2 2) (+ (* -1/3 (* (* (pow (PI) 2) (* (sqrt -1) (sqrt 2))) (sqrt (log u1)))) (* 1/9 (* (* (pow u2 2) (* (pow (PI) 4) (* (sqrt -1) (sqrt 2)))) (sqrt (log u1))))))))
(fma.f64 (sqrt.f64 (log.f64 u1)) (fma.f64 (*.f64 u2 u2) (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 #s(literal 1/9 binary64) (*.f64 u2 (*.f64 u2 (pow.f64 (PI.f64) #s(literal 4 binary64)))) (*.f64 #s(literal -1/3 binary64) (*.f64 (PI.f64) (PI.f64))))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal 2 binary64))))) #s(literal 1/2 binary64))
(+ 1/2 (+ (* 1/6 (* (sqrt (log u1)) (* (sqrt -1) (sqrt 2)))) (* (pow u2 2) (+ (* -1/3 (* (* (pow (PI) 2) (* (sqrt -1) (sqrt 2))) (sqrt (log u1)))) (* (pow u2 2) (+ (* -2/135 (* (* (pow u2 2) (* (pow (PI) 6) (* (sqrt -1) (sqrt 2)))) (sqrt (log u1)))) (* 1/9 (* (* (pow (PI) 4) (* (sqrt -1) (sqrt 2))) (sqrt (log u1))))))))))
(fma.f64 (*.f64 u2 u2) (*.f64 (*.f64 (sqrt.f64 (log.f64 u1)) (*.f64 u2 u2)) (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 #s(literal -2/135 binary64) (*.f64 u2 (*.f64 u2 (pow.f64 (PI.f64) #s(literal 6 binary64)))) (*.f64 #s(literal 1/9 binary64) (pow.f64 (PI.f64) #s(literal 4 binary64)))))) (fma.f64 (sqrt.f64 (log.f64 u1)) (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 #s(literal -1/3 binary64) (*.f64 u2 (*.f64 u2 (*.f64 (PI.f64) (PI.f64)))) #s(literal 1/6 binary64))) #s(literal 1/2 binary64)))
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (sqrt 2))) (sqrt (log u1)))))
(fma.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 u2 (PI.f64)))) (*.f64 (sqrt.f64 (log.f64 u1)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal 2 binary64))))) #s(literal 1/2 binary64))
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (sqrt 2))) (sqrt (log u1)))))
(fma.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 u2 (PI.f64)))) (*.f64 (sqrt.f64 (log.f64 u1)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal 2 binary64))))) #s(literal 1/2 binary64))
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (sqrt 2))) (sqrt (log u1)))))
(fma.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 u2 (PI.f64)))) (*.f64 (sqrt.f64 (log.f64 u1)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal 2 binary64))))) #s(literal 1/2 binary64))
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (sqrt 2))) (sqrt (log u1)))))
(fma.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 u2 (PI.f64)))) (*.f64 (sqrt.f64 (log.f64 u1)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal 2 binary64))))) #s(literal 1/2 binary64))
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (sqrt 2))) (sqrt (log u1)))))
(fma.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 u2 (PI.f64)))) (*.f64 (sqrt.f64 (log.f64 u1)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal 2 binary64))))) #s(literal 1/2 binary64))
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (sqrt 2))) (sqrt (log u1)))))
(fma.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 u2 (PI.f64)))) (*.f64 (sqrt.f64 (log.f64 u1)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal 2 binary64))))) #s(literal 1/2 binary64))
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (sqrt 2))) (sqrt (log u1)))))
(fma.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 u2 (PI.f64)))) (*.f64 (sqrt.f64 (log.f64 u1)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal 2 binary64))))) #s(literal 1/2 binary64))
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (sqrt 2))) (sqrt (log u1)))))
(fma.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 u2 (PI.f64)))) (*.f64 (sqrt.f64 (log.f64 u1)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal 2 binary64))))) #s(literal 1/2 binary64))
(* (sqrt (log u1)) (sqrt -1))
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (log.f64 u1)))
(* (sqrt (log u1)) (sqrt -1))
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (log.f64 u1)))
(* (sqrt (log u1)) (sqrt -1))
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (log.f64 u1)))
(* (sqrt (log u1)) (sqrt -1))
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (log.f64 u1)))
(* (sqrt (log (/ 1 u1))) (pow (sqrt -1) 2))
(-.f64 #s(literal 0 binary64) (sqrt.f64 (-.f64 #s(literal 0 binary64) (log.f64 u1))))
(* (sqrt (log (/ 1 u1))) (pow (sqrt -1) 2))
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(*.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (-.f64 #s(literal 0 binary64) (log.f64 u1))))
(* (sqrt (log (/ 1 u1))) (* (pow (sqrt -1) 2) (sqrt 2)))
(*.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (-.f64 #s(literal 0 binary64) (log.f64 u1))))
(* (sqrt (log (/ 1 u1))) (* (pow (sqrt -1) 2) (sqrt 2)))
(*.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (-.f64 #s(literal 0 binary64) (log.f64 u1))))
(* (* (sqrt -1) (sqrt 2)) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))
(*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) u1)))))
(* (* (sqrt -1) (sqrt 2)) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))
(*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) u1)))))
(* (* (sqrt -1) (sqrt 2)) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))
(*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) u1)))))
(* (* (sqrt -1) (sqrt 2)) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))
(*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) u1)))))
(* 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 -1 binary64)) (sqrt.f64 #s(literal -2 binary64))) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (-.f64 #s(literal 0 binary64) (log.f64 u1)))))
(* 1/6 (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1))))
(*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -2 binary64))) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (-.f64 #s(literal 0 binary64) (log.f64 u1)))))
(* 1/6 (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1))))
(*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -2 binary64))) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (-.f64 #s(literal 0 binary64) (log.f64 u1)))))
(* 1/6 (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1))))
(*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -2 binary64))) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (-.f64 #s(literal 0 binary64) (log.f64 u1)))))
(* 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 (fma.f64 (log.f64 u1) #s(literal -2 binary64) #s(literal 0 binary64)) #s(literal 1/4 binary64))
(pow (* -2 (log u1)) 1/4)
(pow.f64 (fma.f64 (log.f64 u1) #s(literal -2 binary64) #s(literal 0 binary64)) #s(literal 1/4 binary64))
(pow (* -2 (log u1)) 1/4)
(pow.f64 (fma.f64 (log.f64 u1) #s(literal -2 binary64) #s(literal 0 binary64)) #s(literal 1/4 binary64))
(pow (* -2 (log u1)) 1/4)
(pow.f64 (fma.f64 (log.f64 u1) #s(literal -2 binary64) #s(literal 0 binary64)) #s(literal 1/4 binary64))
(pow (* 2 (log (/ 1 u1))) 1/4)
(pow.f64 (fma.f64 (log.f64 u1) #s(literal -2 binary64) #s(literal 0 binary64)) #s(literal 1/4 binary64))
(pow (* 2 (log (/ 1 u1))) 1/4)
(pow.f64 (fma.f64 (log.f64 u1) #s(literal -2 binary64) #s(literal 0 binary64)) #s(literal 1/4 binary64))
(pow (* 2 (log (/ 1 u1))) 1/4)
(pow.f64 (fma.f64 (log.f64 u1) #s(literal -2 binary64) #s(literal 0 binary64)) #s(literal 1/4 binary64))
(pow (* 2 (log (/ 1 u1))) 1/4)
(pow.f64 (fma.f64 (log.f64 u1) #s(literal -2 binary64) #s(literal 0 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 (/.f64 #s(literal -1 binary64) u1)) (log.f64 #s(literal -1 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 (/.f64 #s(literal -1 binary64) u1)) (log.f64 #s(literal -1 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 (/.f64 #s(literal -1 binary64) u1)) (log.f64 #s(literal -1 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 (/.f64 #s(literal -1 binary64) u1)) (log.f64 #s(literal -1 binary64)))) #s(literal 1/4 binary64))

eval220.0ms (1.6%)

Memory
33.3MiB live, 468.3MiB allocated
Compiler

Compiled 44 729 to 3 441 computations (92.3% saved)

prune192.0ms (1.4%)

Memory
10.4MiB live, 493.5MiB allocated
Pruning

16 alts after pruning (15 fresh and 1 done)

PrunedKeptTotal
New1 732101 742
Fresh5510
Picked415
Done000
Total1 741161 757
Accuracy
100.0%
Counts
1 757 → 16
Alt Table
Click to see full alt table
StatusAccuracyProgram
98.4%
(fma.f64 (fma.f64 (*.f64 u2 (*.f64 (PI.f64) (PI.f64))) (*.f64 #s(literal -2 binary64) u2) #s(literal 1 binary64)) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)))) #s(literal 1/2 binary64))
97.1%
(fma.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))
97.8%
(fma.f64 (pow.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)) #s(literal 1/4 binary64)) (*.f64 (pow.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)) #s(literal 1/4 binary64)) #s(literal 1/6 binary64)) #s(literal 1/2 binary64))
99.5%
(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))
98.5%
(fma.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (log.f64 u1))) (*.f64 (*.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 (*.f64 u2 u2) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal -2 binary64)) #s(literal 1 binary64))) #s(literal 1/2 binary64))
▶98.2%
(fma.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (log.f64 u1))) (*.f64 (*.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 1/2 binary64))
✓98.1%
(fma.f64 (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal 1/6 binary64) #s(literal 1/2 binary64))
▶99.6%
(fma.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (*.f64 (*.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal 2 binary64))) (cos.f64 (*.f64 u2 (*.f64 (PI.f64) #s(literal 2 binary64))))) #s(literal 1/2 binary64))
99.0%
(fma.f64 (exp.f64 (*.f64 (log.f64 (-.f64 #s(literal 0 binary64) (log.f64 u1))) #s(literal 1/2 binary64))) (*.f64 (*.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal 2 binary64))) (cos.f64 (*.f64 u2 (*.f64 (PI.f64) #s(literal 2 binary64))))) #s(literal 1/2 binary64))
99.3%
(/.f64 (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 (*.f64 (log.f64 u1) #s(literal -2 binary64)) #s(literal 1/36 binary64)) #s(literal -1/4 binary64)) (fma.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)))
97.9%
(/.f64 (fma.f64 (log.f64 u1) #s(literal -1/18 binary64) #s(literal -1/4 binary64)) (fma.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal -1/2 binary64)))
98.0%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal 1/2 binary64))))
▶98.3%
(+.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (log.f64 u1))))) (sqrt.f64 #s(literal 2 binary64)))) (fma.f64 u2 (*.f64 u2 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal -2 binary64))) #s(literal 1 binary64))) #s(literal 1/2 binary64))
▶98.2%
(+.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) (*.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (log.f64 u1))) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64))
98.5%
(+.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (log.f64 u1))) (sqrt.f64 #s(literal 2 binary64)))) (fma.f64 u2 (*.f64 u2 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal -2 binary64))) #s(literal 1 binary64))) #s(literal 1/2 binary64))
▶97.8%
(*.f64 (fma.f64 (log.f64 u1) #s(literal -1/18 binary64) #s(literal -1/4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal -1/2 binary64))))
Compiler

Compiled 630 to 507 computations (19.5% saved)

simplify293.0ms (2.1%)

Memory
-19.7MiB live, 357.5MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal -1/2 binary64)))
✓cost-diff0
(log.f64 u1)
✓cost-diff0
(fma.f64 (log.f64 u1) #s(literal -1/18 binary64) #s(literal -1/4 binary64))
✓cost-diff320
(*.f64 (fma.f64 (log.f64 u1) #s(literal -1/18 binary64) #s(literal -1/4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal -1/2 binary64))))
✓cost-diff192
(/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (log.f64 u1)))
✓cost-diff320
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (log.f64 u1))))) (sqrt.f64 #s(literal 2 binary64)))
✓cost-diff320
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (log.f64 u1))))) (sqrt.f64 #s(literal 2 binary64)))) (fma.f64 u2 (*.f64 u2 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal -2 binary64))) #s(literal 1 binary64)))
✓cost-diff704
(/.f64 #s(literal 1 binary64) #s(literal 6 binary64))
✓cost-diff0
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) (*.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (log.f64 u1))) (sqrt.f64 #s(literal 2 binary64))))
✓cost-diff128
(+.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) (*.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (log.f64 u1))) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64))
✓cost-diff320
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) (*.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (log.f64 u1))) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 1 binary64))
✓cost-diff704
(/.f64 #s(literal 1 binary64) #s(literal 6 binary64))
✓cost-diff0
(-.f64 #s(literal 0 binary64) (log.f64 u1))
✓cost-diff0
(sqrt.f64 (-.f64 #s(literal 0 binary64) (log.f64 u1)))
✓cost-diff0
(fma.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (log.f64 u1))) (*.f64 (*.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 1/2 binary64))
✓cost-diff320
(*.f64 (*.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal 2 binary64))) #s(literal 1 binary64))
✓cost-diff0
(*.f64 (*.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal 2 binary64))) (cos.f64 (*.f64 u2 (*.f64 (PI.f64) #s(literal 2 binary64)))))
✓cost-diff0
(log.f64 u1)
✓cost-diff0
(sqrt.f64 (neg.f64 (log.f64 u1)))
✓cost-diff0
(fma.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (*.f64 (*.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal 2 binary64))) (cos.f64 (*.f64 u2 (*.f64 (PI.f64) #s(literal 2 binary64))))) #s(literal 1/2 binary64))
Rules
4 958×*-lowering-*.f32
4 958×*-lowering-*.f64
4 384×accelerator-lowering-fma.f32
4 384×accelerator-lowering-fma.f64
2 350×*-commutative
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
054354
1125337
2287333
3890333
41467333
52283333
63379333
73637333
83956333
94378333
105322333
115654333
126832333
137444333
147476333
157476333
167476333
177934333
187934333
08513321
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(+ (* (sqrt (neg (log u1))) (* (* 1/6 (sqrt 2)) (cos (* u2 (* (PI) 2))))) 1/2)
(sqrt (neg (log u1)))
(neg (log u1))
(log u1)
u1
(* (* 1/6 (sqrt 2)) (cos (* u2 (* (PI) 2))))
(* 1/6 (sqrt 2))
1/6
(sqrt 2)
2
(cos (* u2 (* (PI) 2)))
(* u2 (* (PI) 2))
u2
(* (PI) 2)
(PI)
1/2
(+ (* (sqrt (- 0 (log u1))) (* (* 1/6 (sqrt 2)) 1)) 1/2)
(sqrt (- 0 (log u1)))
(- 0 (log u1))
0
(log u1)
u1
(* (* 1/6 (sqrt 2)) 1)
(* 1/6 (sqrt 2))
1/6
(sqrt 2)
2
1
1/2
(+ (* (* (/ 1 6) (* (sqrt (- 0 (log u1))) (sqrt 2))) 1) 1/2)
(* (* (/ 1 6) (* (sqrt (- 0 (log u1))) (sqrt 2))) 1)
(* (/ 1 6) (* (sqrt (- 0 (log u1))) (sqrt 2)))
(/ 1 6)
1
6
(* (sqrt (- 0 (log u1))) (sqrt 2))
(sqrt (- 0 (log u1)))
(- 0 (log u1))
0
(log u1)
u1
(sqrt 2)
2
1/2
(+ (* (* (/ 1 6) (* (/ 1 (sqrt (/ 1 (- 0 (log u1))))) (sqrt 2))) (+ (* u2 (* u2 (* (* (PI) (PI)) -2))) 1)) 1/2)
(* (* (/ 1 6) (* (/ 1 (sqrt (/ 1 (- 0 (log u1))))) (sqrt 2))) (+ (* u2 (* u2 (* (* (PI) (PI)) -2))) 1))
(* (/ 1 6) (* (/ 1 (sqrt (/ 1 (- 0 (log u1))))) (sqrt 2)))
(/ 1 6)
1
6
(* (/ 1 (sqrt (/ 1 (- 0 (log u1))))) (sqrt 2))
(/ 1 (sqrt (/ 1 (- 0 (log u1)))))
(sqrt (/ 1 (- 0 (log u1))))
(/ 1 (- 0 (log u1)))
(- 0 (log u1))
0
(log u1)
u1
(sqrt 2)
2
(+ (* u2 (* u2 (* (* (PI) (PI)) -2))) 1)
u2
(* u2 (* (* (PI) (PI)) -2))
(* (* (PI) (PI)) -2)
(* (PI) (PI))
(PI)
-2
1/2
(* (+ (* (log u1) -1/18) -1/4) (/ 1 (+ (* 1/6 (sqrt (* (log u1) -2))) -1/2)))
(+ (* (log u1) -1/18) -1/4)
(log u1)
u1
-1/18
-1/4
(/ 1 (+ (* 1/6 (sqrt (* (log u1) -2))) -1/2))
1
(+ (* 1/6 (sqrt (* (log u1) -2))) -1/2)
1/6
(sqrt (* (log u1) -2))
(* (log u1) -2)
-2
-1/2
Outputs
(+ (* (sqrt (neg (log u1))) (* (* 1/6 (sqrt 2)) (cos (* u2 (* (PI) 2))))) 1/2)
(fma.f64 (*.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 u2 (PI.f64)))) (sqrt.f64 (-.f64 #s(literal 0 binary64) (log.f64 u1)))) #s(literal 1/2 binary64))
(sqrt (neg (log u1)))
(sqrt.f64 (-.f64 #s(literal 0 binary64) (log.f64 u1)))
(neg (log u1))
(-.f64 #s(literal 0 binary64) (log.f64 u1))
(log u1)
(log.f64 u1)
u1
(* (* 1/6 (sqrt 2)) (cos (* u2 (* (PI) 2))))
(*.f64 #s(literal 1/6 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 u2 (PI.f64))))))
(* 1/6 (sqrt 2))
(*.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal 2 binary64)))
1/6
#s(literal 1/6 binary64)
(sqrt 2)
(sqrt.f64 #s(literal 2 binary64))
2
#s(literal 2 binary64)
(cos (* u2 (* (PI) 2)))
(cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 u2 (PI.f64))))
(* u2 (* (PI) 2))
(*.f64 #s(literal 2 binary64) (*.f64 u2 (PI.f64)))
u2
(* (PI) 2)
(*.f64 #s(literal 2 binary64) (PI.f64))
(PI)
(PI.f64)
1/2
#s(literal 1/2 binary64)
(+ (* (sqrt (- 0 (log u1))) (* (* 1/6 (sqrt 2)) 1)) 1/2)
(fma.f64 (*.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (-.f64 #s(literal 0 binary64) (log.f64 u1))) #s(literal 1/2 binary64))
(sqrt (- 0 (log u1)))
(sqrt.f64 (-.f64 #s(literal 0 binary64) (log.f64 u1)))
(- 0 (log u1))
(-.f64 #s(literal 0 binary64) (log.f64 u1))
0
#s(literal 0 binary64)
(log u1)
(log.f64 u1)
u1
(* (* 1/6 (sqrt 2)) 1)
(*.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal 2 binary64)))
(* 1/6 (sqrt 2))
(*.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal 2 binary64)))
1/6
#s(literal 1/6 binary64)
(sqrt 2)
(sqrt.f64 #s(literal 2 binary64))
2
#s(literal 2 binary64)
1
#s(literal 1 binary64)
1/2
#s(literal 1/2 binary64)
(+ (* (* (/ 1 6) (* (sqrt (- 0 (log u1))) (sqrt 2))) 1) 1/2)
(fma.f64 (*.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (-.f64 #s(literal 0 binary64) (log.f64 u1))) #s(literal 1/2 binary64))
(* (* (/ 1 6) (* (sqrt (- 0 (log u1))) (sqrt 2))) 1)
(*.f64 (*.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (-.f64 #s(literal 0 binary64) (log.f64 u1))))
(* (/ 1 6) (* (sqrt (- 0 (log u1))) (sqrt 2)))
(*.f64 (*.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (-.f64 #s(literal 0 binary64) (log.f64 u1))))
(/ 1 6)
#s(literal 1/6 binary64)
1
#s(literal 1 binary64)
6
#s(literal 6 binary64)
(* (sqrt (- 0 (log u1))) (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (-.f64 #s(literal 0 binary64) (log.f64 u1))))
(sqrt (- 0 (log u1)))
(sqrt.f64 (-.f64 #s(literal 0 binary64) (log.f64 u1)))
(- 0 (log u1))
(-.f64 #s(literal 0 binary64) (log.f64 u1))
0
#s(literal 0 binary64)
(log u1)
(log.f64 u1)
u1
(sqrt 2)
(sqrt.f64 #s(literal 2 binary64))
2
#s(literal 2 binary64)
1/2
#s(literal 1/2 binary64)
(+ (* (* (/ 1 6) (* (/ 1 (sqrt (/ 1 (- 0 (log u1))))) (sqrt 2))) (+ (* u2 (* u2 (* (* (PI) (PI)) -2))) 1)) 1/2)
(fma.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 (fma.f64 (*.f64 u2 (*.f64 u2 (*.f64 (PI.f64) (PI.f64)))) #s(literal -1/3 binary64) #s(literal 1/6 binary64)) (sqrt.f64 (/.f64 #s(literal -1 binary64) (log.f64 u1)))) #s(literal 1/2 binary64))
(* (* (/ 1 6) (* (/ 1 (sqrt (/ 1 (- 0 (log u1))))) (sqrt 2))) (+ (* u2 (* u2 (* (* (PI) (PI)) -2))) 1))
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 (*.f64 u2 (*.f64 u2 (*.f64 (PI.f64) (PI.f64)))) #s(literal -1/3 binary64) #s(literal 1/6 binary64))) (sqrt.f64 (/.f64 #s(literal -1 binary64) (log.f64 u1))))
(* (/ 1 6) (* (/ 1 (sqrt (/ 1 (- 0 (log u1))))) (sqrt 2)))
(/.f64 (*.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal -1 binary64) (log.f64 u1))))
(/ 1 6)
#s(literal 1/6 binary64)
1
#s(literal 1 binary64)
6
#s(literal 6 binary64)
(* (/ 1 (sqrt (/ 1 (- 0 (log u1))))) (sqrt 2))
(/.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal -1 binary64) (log.f64 u1))))
(/ 1 (sqrt (/ 1 (- 0 (log u1)))))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal -1 binary64) (log.f64 u1))))
(sqrt (/ 1 (- 0 (log u1))))
(sqrt.f64 (/.f64 #s(literal -1 binary64) (log.f64 u1)))
(/ 1 (- 0 (log u1)))
(/.f64 #s(literal -1 binary64) (log.f64 u1))
(- 0 (log u1))
(-.f64 #s(literal 0 binary64) (log.f64 u1))
0
#s(literal 0 binary64)
(log u1)
(log.f64 u1)
u1
(sqrt 2)
(sqrt.f64 #s(literal 2 binary64))
2
#s(literal 2 binary64)
(+ (* u2 (* u2 (* (* (PI) (PI)) -2))) 1)
(fma.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 u2 (*.f64 u2 #s(literal -2 binary64))) #s(literal 1 binary64))
u2
(* u2 (* (* (PI) (PI)) -2))
(*.f64 u2 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal -2 binary64)))
(* (* (PI) (PI)) -2)
(*.f64 (*.f64 (PI.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)
(* (+ (* (log u1) -1/18) -1/4) (/ 1 (+ (* 1/6 (sqrt (* (log u1) -2))) -1/2)))
(/.f64 (fma.f64 (log.f64 u1) #s(literal -1/18 binary64) #s(literal -1/4 binary64)) (fma.f64 #s(literal 1/6 binary64) (sqrt.f64 (fma.f64 (log.f64 u1) #s(literal -2 binary64) #s(literal 0 binary64))) #s(literal -1/2 binary64)))
(+ (* (log u1) -1/18) -1/4)
(fma.f64 (log.f64 u1) #s(literal -1/18 binary64) #s(literal -1/4 binary64))
(log u1)
(log.f64 u1)
u1
-1/18
#s(literal -1/18 binary64)
-1/4
#s(literal -1/4 binary64)
(/ 1 (+ (* 1/6 (sqrt (* (log u1) -2))) -1/2))
(/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/6 binary64) (sqrt.f64 (fma.f64 (log.f64 u1) #s(literal -2 binary64) #s(literal 0 binary64))) #s(literal -1/2 binary64)))
1
#s(literal 1 binary64)
(+ (* 1/6 (sqrt (* (log u1) -2))) -1/2)
(fma.f64 #s(literal 1/6 binary64) (sqrt.f64 (fma.f64 (log.f64 u1) #s(literal -2 binary64) #s(literal 0 binary64))) #s(literal -1/2 binary64))
1/6
#s(literal 1/6 binary64)
(sqrt (* (log u1) -2))
(sqrt.f64 (fma.f64 (log.f64 u1) #s(literal -2 binary64) #s(literal 0 binary64)))
(* (log u1) -2)
(fma.f64 (log.f64 u1) #s(literal -2 binary64) #s(literal 0 binary64))
-2
#s(literal -2 binary64)
-1/2
#s(literal -1/2 binary64)

localize246.0ms (1.8%)

Memory
43.1MiB live, 451.4MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
✓accuracy99.5%
(*.f64 (fma.f64 (log.f64 u1) #s(literal -1/18 binary64) #s(literal -1/4 binary64)) (/.f64 #s(literal 1 binary64) (fma.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) (fma.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal -1/2 binary64)))
✓accuracy99.4%
(fma.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal -1/2 binary64))
✓accuracy99.4%
(fma.f64 (log.f64 u1) #s(literal -1/18 binary64) #s(literal -1/4 binary64))
✓accuracy99.5%
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (log.f64 u1)))))
✓accuracy99.5%
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (log.f64 u1))))) (sqrt.f64 #s(literal 2 binary64))))
✓accuracy99.4%
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (log.f64 u1))))) (sqrt.f64 #s(literal 2 binary64)))
✓accuracy99.2%
(*.f64 u2 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal -2 binary64)))
✓accuracy100.0%
(+.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) (*.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (log.f64 u1))) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64))
✓accuracy99.8%
(sqrt.f64 (-.f64 #s(literal 0 binary64) (log.f64 u1)))
✓accuracy99.5%
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) (*.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (log.f64 u1))) (sqrt.f64 #s(literal 2 binary64))))
✓accuracy99.4%
(*.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (log.f64 u1))) (sqrt.f64 #s(literal 2 binary64)))
✓accuracy100.0%
(sqrt.f64 #s(literal 2 binary64))
✓accuracy100.0%
(log.f64 u1)
✓accuracy99.8%
(sqrt.f64 (-.f64 #s(literal 0 binary64) (log.f64 u1)))
✓accuracy99.6%
(fma.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (log.f64 u1))) (*.f64 (*.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 1/2 binary64))
✓accuracy100.0%
(cos.f64 (*.f64 u2 (*.f64 (PI.f64) #s(literal 2 binary64))))
✓accuracy99.8%
(sqrt.f64 (neg.f64 (log.f64 u1)))
✓accuracy99.6%
(fma.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (*.f64 (*.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal 2 binary64))) (cos.f64 (*.f64 u2 (*.f64 (PI.f64) #s(literal 2 binary64))))) #s(literal 1/2 binary64))
✓accuracy99.6%
(*.f64 u2 (*.f64 (PI.f64) #s(literal 2 binary64)))
Samples
156.0ms256×0valid
Compiler

Compiled 387 to 56 computations (85.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 128.0ms
ival-mult: 44.0ms (34.4% of total)
ival-log: 26.0ms (20.3% of total)
const: 17.0ms (13.3% of total)
ival-div: 16.0ms (12.5% of total)
ival-add: 8.0ms (6.2% of total)
ival-sqrt: 8.0ms (6.2% of total)
ival-sub: 4.0ms (3.1% of total)
ival-cos: 2.0ms (1.6% 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)

series21.0ms (0.2%)

Memory
11.9MiB live, 50.1MiB allocated
Counts
26 → 300
Calls
Call 1
Inputs
#<alt (+ (* (sqrt (neg (log u1))) (* (* 1/6 (sqrt 2)) (cos (* u2 (* (PI) 2))))) 1/2)>
#<alt (sqrt (neg (log u1)))>
#<alt (log u1)>
#<alt (* (* 1/6 (sqrt 2)) (cos (* u2 (* (PI) 2))))>
#<alt (* (* 1/6 (sqrt 2)) 1)>
#<alt (+ (* (sqrt (- 0 (log u1))) (* (* 1/6 (sqrt 2)) 1)) 1/2)>
#<alt (sqrt (- 0 (log u1)))>
#<alt (- 0 (log u1))>
#<alt (/ 1 6)>
#<alt (* (* (/ 1 6) (* (sqrt (- 0 (log u1))) (sqrt 2))) 1)>
#<alt (+ (* (* (/ 1 6) (* (sqrt (- 0 (log u1))) (sqrt 2))) 1) 1/2)>
#<alt (* (/ 1 6) (* (sqrt (- 0 (log u1))) (sqrt 2)))>
#<alt (* (* (/ 1 6) (* (/ 1 (sqrt (/ 1 (- 0 (log u1))))) (sqrt 2))) (+ (* u2 (* u2 (* (* (PI) (PI)) -2))) 1))>
#<alt (* (/ 1 (sqrt (/ 1 (- 0 (log u1))))) (sqrt 2))>
#<alt (/ 1 (- 0 (log u1)))>
#<alt (* (+ (* (log u1) -1/18) -1/4) (/ 1 (+ (* 1/6 (sqrt (* (log u1) -2))) -1/2)))>
#<alt (+ (* (log u1) -1/18) -1/4)>
#<alt (/ 1 (+ (* 1/6 (sqrt (* (log u1) -2))) -1/2))>
#<alt (* u2 (* (PI) 2))>
#<alt (cos (* u2 (* (PI) 2)))>
#<alt (sqrt 2)>
#<alt (* (sqrt (- 0 (log u1))) (sqrt 2))>
#<alt (* u2 (* (* (PI) (PI)) -2))>
#<alt (* (/ 1 6) (* (/ 1 (sqrt (/ 1 (- 0 (log u1))))) (sqrt 2)))>
#<alt (/ 1 (sqrt (/ 1 (- 0 (log u1)))))>
#<alt (+ (* 1/6 (sqrt (* (log u1) -2))) -1/2)>
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)))) (* (pow (sqrt -1) 2) (sqrt 2))) (sqrt (log (/ 1 u1))))))>
#<alt (+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (pow (sqrt -1) 2) (sqrt 2))) (sqrt (log (/ 1 u1))))))>
#<alt (+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (pow (sqrt -1) 2) (sqrt 2))) (sqrt (log (/ 1 u1))))))>
#<alt (+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (pow (sqrt -1) 2) (sqrt 2))) (sqrt (log (/ 1 u1))))))>
#<alt (+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (sqrt 2))) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))))>
#<alt (+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (sqrt 2))) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))))>
#<alt (+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (sqrt 2))) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))))>
#<alt (+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (sqrt 2))) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))))>
#<alt (+ 1/2 (* 1/6 (* (sqrt (log u1)) (* (sqrt -1) (sqrt 2)))))>
#<alt (+ 1/2 (+ (* -1/3 (* (* (pow u2 2) (* (pow (PI) 2) (* (sqrt -1) (sqrt 2)))) (sqrt (log u1)))) (* 1/6 (* (sqrt (log u1)) (* (sqrt -1) (sqrt 2))))))>
#<alt (+ 1/2 (+ (* 1/6 (* (sqrt (log u1)) (* (sqrt -1) (sqrt 2)))) (* (pow u2 2) (+ (* -1/3 (* (* (pow (PI) 2) (* (sqrt -1) (sqrt 2))) (sqrt (log u1)))) (* 1/9 (* (* (pow u2 2) (* (pow (PI) 4) (* (sqrt -1) (sqrt 2)))) (sqrt (log u1))))))))>
#<alt (+ 1/2 (+ (* 1/6 (* (sqrt (log u1)) (* (sqrt -1) (sqrt 2)))) (* (pow u2 2) (+ (* -1/3 (* (* (pow (PI) 2) (* (sqrt -1) (sqrt 2))) (sqrt (log u1)))) (* (pow u2 2) (+ (* -2/135 (* (* (pow u2 2) (* (pow (PI) 6) (* (sqrt -1) (sqrt 2)))) (sqrt (log u1)))) (* 1/9 (* (* (pow (PI) 4) (* (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 -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 -1) (sqrt 2))) (sqrt (log u1)))))>
#<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))) (pow (sqrt -1) 2))>
#<alt (* (sqrt (log (/ 1 u1))) (pow (sqrt -1) 2))>
#<alt (* (sqrt (log (/ 1 u1))) (pow (sqrt -1) 2))>
#<alt (* (sqrt (log (/ 1 u1))) (pow (sqrt -1) 2))>
#<alt (* (sqrt -1) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))>
#<alt (* (sqrt -1) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))>
#<alt (* (sqrt -1) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))>
#<alt (* (sqrt -1) (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 (* 1/6 (sqrt 2))>
#<alt (+ (* -1/3 (* (pow u2 2) (* (pow (PI) 2) (sqrt 2)))) (* 1/6 (sqrt 2)))>
#<alt (+ (* 1/6 (sqrt 2)) (* (pow u2 2) (+ (* -1/3 (* (pow (PI) 2) (sqrt 2))) (* 1/9 (* (pow u2 2) (* (pow (PI) 4) (sqrt 2)))))))>
#<alt (+ (* 1/6 (sqrt 2)) (* (pow u2 2) (+ (* -1/3 (* (pow (PI) 2) (sqrt 2))) (* (pow u2 2) (+ (* -2/135 (* (pow u2 2) (* (pow (PI) 6) (sqrt 2)))) (* 1/9 (* (pow (PI) 4) (sqrt 2))))))))>
#<alt (* 1/6 (* (cos (* 2 (* u2 (PI)))) (sqrt 2)))>
#<alt (* 1/6 (* (cos (* 2 (* u2 (PI)))) (sqrt 2)))>
#<alt (* 1/6 (* (cos (* 2 (* u2 (PI)))) (sqrt 2)))>
#<alt (* 1/6 (* (cos (* 2 (* u2 (PI)))) (sqrt 2)))>
#<alt (* 1/6 (* (cos (* 2 (* u2 (PI)))) (sqrt 2)))>
#<alt (* 1/6 (* (cos (* 2 (* u2 (PI)))) (sqrt 2)))>
#<alt (* 1/6 (* (cos (* 2 (* u2 (PI)))) (sqrt 2)))>
#<alt (* 1/6 (* (cos (* 2 (* u2 (PI)))) (sqrt 2)))>
#<alt (+ 1/2 (* 1/6 (* (sqrt (log u1)) (* (sqrt -1) (sqrt 2)))))>
#<alt (+ 1/2 (* 1/6 (* (sqrt (log u1)) (* (sqrt -1) (sqrt 2)))))>
#<alt (+ 1/2 (* 1/6 (* (sqrt (log u1)) (* (sqrt -1) (sqrt 2)))))>
#<alt (+ 1/2 (* 1/6 (* (sqrt (log u1)) (* (sqrt -1) (sqrt 2)))))>
#<alt (+ 1/2 (* 1/6 (* (sqrt (log (/ 1 u1))) (* (pow (sqrt -1) 2) (sqrt 2)))))>
#<alt (+ 1/2 (* 1/6 (* (sqrt (log (/ 1 u1))) (* (pow (sqrt -1) 2) (sqrt 2)))))>
#<alt (+ 1/2 (* 1/6 (* (sqrt (log (/ 1 u1))) (* (pow (sqrt -1) 2) (sqrt 2)))))>
#<alt (+ 1/2 (* 1/6 (* (sqrt (log (/ 1 u1))) (* (pow (sqrt -1) 2) (sqrt 2)))))>
#<alt (+ 1/2 (* 1/6 (* (* (sqrt -1) (sqrt 2)) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))))>
#<alt (+ 1/2 (* 1/6 (* (* (sqrt -1) (sqrt 2)) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))))>
#<alt (+ 1/2 (* 1/6 (* (* (sqrt -1) (sqrt 2)) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))))>
#<alt (+ 1/2 (* 1/6 (* (* (sqrt -1) (sqrt 2)) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))))>
#<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))) (pow (sqrt -1) 2))>
#<alt (* (sqrt (log (/ 1 u1))) (pow (sqrt -1) 2))>
#<alt (* (sqrt (log (/ 1 u1))) (pow (sqrt -1) 2))>
#<alt (* (sqrt (log (/ 1 u1))) (pow (sqrt -1) 2))>
#<alt (* (sqrt -1) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))>
#<alt (* (sqrt -1) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))>
#<alt (* (sqrt -1) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))>
#<alt (* (sqrt -1) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))>
#<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 (* -1 (+ (log -1) (* -1 (log (/ -1 u1)))))>
#<alt (* -1 (+ (log -1) (* -1 (log (/ -1 u1)))))>
#<alt (* -1 (+ (log -1) (* -1 (log (/ -1 u1)))))>
#<alt (* -1 (+ (log -1) (* -1 (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))) (* (pow (sqrt -1) 2) (sqrt 2))))>
#<alt (* 1/6 (* (sqrt (log (/ 1 u1))) (* (pow (sqrt -1) 2) (sqrt 2))))>
#<alt (* 1/6 (* (sqrt (log (/ 1 u1))) (* (pow (sqrt -1) 2) (sqrt 2))))>
#<alt (* 1/6 (* (sqrt (log (/ 1 u1))) (* (pow (sqrt -1) 2) (sqrt 2))))>
#<alt (* 1/6 (* (* (sqrt -1) (sqrt 2)) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))))>
#<alt (* 1/6 (* (* (sqrt -1) (sqrt 2)) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))))>
#<alt (* 1/6 (* (* (sqrt -1) (sqrt 2)) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))))>
#<alt (* 1/6 (* (* (sqrt -1) (sqrt 2)) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))))>
#<alt (+ 1/2 (* 1/6 (* (sqrt (log u1)) (* (sqrt -1) (sqrt 2)))))>
#<alt (+ 1/2 (* 1/6 (* (sqrt (log u1)) (* (sqrt -1) (sqrt 2)))))>
#<alt (+ 1/2 (* 1/6 (* (sqrt (log u1)) (* (sqrt -1) (sqrt 2)))))>
#<alt (+ 1/2 (* 1/6 (* (sqrt (log u1)) (* (sqrt -1) (sqrt 2)))))>
#<alt (+ 1/2 (* 1/6 (* (sqrt (log (/ 1 u1))) (* (pow (sqrt -1) 2) (sqrt 2)))))>
#<alt (+ 1/2 (* 1/6 (* (sqrt (log (/ 1 u1))) (* (pow (sqrt -1) 2) (sqrt 2)))))>
#<alt (+ 1/2 (* 1/6 (* (sqrt (log (/ 1 u1))) (* (pow (sqrt -1) 2) (sqrt 2)))))>
#<alt (+ 1/2 (* 1/6 (* (sqrt (log (/ 1 u1))) (* (pow (sqrt -1) 2) (sqrt 2)))))>
#<alt (+ 1/2 (* 1/6 (* (* (sqrt -1) (sqrt 2)) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))))>
#<alt (+ 1/2 (* 1/6 (* (* (sqrt -1) (sqrt 2)) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))))>
#<alt (+ 1/2 (* 1/6 (* (* (sqrt -1) (sqrt 2)) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))))>
#<alt (+ 1/2 (* 1/6 (* (* (sqrt -1) (sqrt 2)) (sqrt (+ (log -1) (* -1 (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))) (* (pow (sqrt -1) 2) (sqrt 2))))>
#<alt (* 1/6 (* (sqrt (log (/ 1 u1))) (* (pow (sqrt -1) 2) (sqrt 2))))>
#<alt (* 1/6 (* (sqrt (log (/ 1 u1))) (* (pow (sqrt -1) 2) (sqrt 2))))>
#<alt (* 1/6 (* (sqrt (log (/ 1 u1))) (* (pow (sqrt -1) 2) (sqrt 2))))>
#<alt (* 1/6 (* (* (sqrt -1) (sqrt 2)) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))))>
#<alt (* 1/6 (* (* (sqrt -1) (sqrt 2)) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))))>
#<alt (* 1/6 (* (* (sqrt -1) (sqrt 2)) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))))>
#<alt (* 1/6 (* (* (sqrt -1) (sqrt 2)) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))))>
#<alt (* 1/6 (* (sqrt (log u1)) (/ (* (sqrt 2) (+ 1 (* -2 (* (pow u2 2) (pow (PI) 2))))) (sqrt -1))))>
#<alt (* 1/6 (* (sqrt (log u1)) (/ (* (sqrt 2) (+ 1 (* -2 (* (pow u2 2) (pow (PI) 2))))) (sqrt -1))))>
#<alt (* 1/6 (* (sqrt (log u1)) (/ (* (sqrt 2) (+ 1 (* -2 (* (pow u2 2) (pow (PI) 2))))) (sqrt -1))))>
#<alt (* 1/6 (* (sqrt (log u1)) (/ (* (sqrt 2) (+ 1 (* -2 (* (pow u2 2) (pow (PI) 2))))) (sqrt -1))))>
#<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 -1)) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))))>
#<alt (* 1/6 (* (/ (* (sqrt 2) (+ 1 (* -2 (* (pow u2 2) (pow (PI) 2))))) (sqrt -1)) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))))>
#<alt (* 1/6 (* (/ (* (sqrt 2) (+ 1 (* -2 (* (pow u2 2) (pow (PI) 2))))) (sqrt -1)) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))))>
#<alt (* 1/6 (* (/ (* (sqrt 2) (+ 1 (* -2 (* (pow u2 2) (pow (PI) 2))))) (sqrt -1)) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))))>
#<alt (* 1/6 (* (sqrt (log u1)) (/ (sqrt 2) (sqrt -1))))>
#<alt (+ (* -1/3 (* (/ (* (pow u2 2) (* (pow (PI) 2) (sqrt 2))) (sqrt -1)) (sqrt (log u1)))) (* 1/6 (* (sqrt (log u1)) (/ (sqrt 2) (sqrt -1)))))>
#<alt (+ (* -1/3 (* (/ (* (pow u2 2) (* (pow (PI) 2) (sqrt 2))) (sqrt -1)) (sqrt (log u1)))) (* 1/6 (* (sqrt (log u1)) (/ (sqrt 2) (sqrt -1)))))>
#<alt (+ (* -1/3 (* (/ (* (pow u2 2) (* (pow (PI) 2) (sqrt 2))) (sqrt -1)) (sqrt (log u1)))) (* 1/6 (* (sqrt (log u1)) (/ (sqrt 2) (sqrt -1)))))>
#<alt (* -1/3 (* (/ (* (pow u2 2) (* (pow (PI) 2) (sqrt 2))) (sqrt -1)) (sqrt (log u1))))>
#<alt (* (pow u2 2) (+ (* -1/3 (* (/ (* (pow (PI) 2) (sqrt 2)) (sqrt -1)) (sqrt (log u1)))) (* 1/6 (* (/ (sqrt 2) (* (pow u2 2) (sqrt -1))) (sqrt (log u1))))))>
#<alt (* (pow u2 2) (+ (* -1/3 (* (/ (* (pow (PI) 2) (sqrt 2)) (sqrt -1)) (sqrt (log u1)))) (* 1/6 (* (/ (sqrt 2) (* (pow u2 2) (sqrt -1))) (sqrt (log u1))))))>
#<alt (* (pow u2 2) (+ (* -1/3 (* (/ (* (pow (PI) 2) (sqrt 2)) (sqrt -1)) (sqrt (log u1)))) (* 1/6 (* (/ (sqrt 2) (* (pow u2 2) (sqrt -1))) (sqrt (log u1))))))>
#<alt (* -1/3 (* (/ (* (pow u2 2) (* (pow (PI) 2) (sqrt 2))) (sqrt -1)) (sqrt (log u1))))>
#<alt (* (pow u2 2) (+ (* -1/3 (* (/ (* (pow (PI) 2) (sqrt 2)) (sqrt -1)) (sqrt (log u1)))) (* 1/6 (* (/ (sqrt 2) (* (pow u2 2) (sqrt -1))) (sqrt (log u1))))))>
#<alt (* (pow u2 2) (+ (* -1/3 (* (/ (* (pow (PI) 2) (sqrt 2)) (sqrt -1)) (sqrt (log u1)))) (* 1/6 (* (/ (sqrt 2) (* (pow u2 2) (sqrt -1))) (sqrt (log u1))))))>
#<alt (* (pow u2 2) (+ (* -1/3 (* (/ (* (pow (PI) 2) (sqrt 2)) (sqrt -1)) (sqrt (log u1)))) (* 1/6 (* (/ (sqrt 2) (* (pow u2 2) (sqrt -1))) (sqrt (log u1))))))>
#<alt (* (sqrt (log u1)) (/ (sqrt 2) (sqrt -1)))>
#<alt (* (sqrt (log u1)) (/ (sqrt 2) (sqrt -1)))>
#<alt (* (sqrt (log u1)) (/ (sqrt 2) (sqrt -1)))>
#<alt (* (sqrt (log u1)) (/ (sqrt 2) (sqrt -1)))>
#<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 -1)) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))>
#<alt (* (/ (sqrt 2) (sqrt -1)) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))>
#<alt (* (/ (sqrt 2) (sqrt -1)) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))>
#<alt (* (/ (sqrt 2) (sqrt -1)) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))>
#<alt (/ -1 (log u1))>
#<alt (/ -1 (log u1))>
#<alt (/ -1 (log u1))>
#<alt (/ -1 (log u1))>
#<alt (/ 1 (log (/ 1 u1)))>
#<alt (/ 1 (log (/ 1 u1)))>
#<alt (/ 1 (log (/ 1 u1)))>
#<alt (/ 1 (log (/ 1 u1)))>
#<alt (/ -1 (+ (log -1) (* -1 (log (/ -1 u1)))))>
#<alt (/ -1 (+ (log -1) (* -1 (log (/ -1 u1)))))>
#<alt (/ -1 (+ (log -1) (* -1 (log (/ -1 u1)))))>
#<alt (/ -1 (+ (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)) 1/4)>
#<alt (- (* -1/18 (log u1)) 1/4)>
#<alt (- (* -1/18 (log u1)) 1/4)>
#<alt (- (* -1/18 (log u1)) 1/4)>
#<alt (- (* 1/18 (log (/ 1 u1))) 1/4)>
#<alt (- (* 1/18 (log (/ 1 u1))) 1/4)>
#<alt (- (* 1/18 (log (/ 1 u1))) 1/4)>
#<alt (- (* 1/18 (log (/ 1 u1))) 1/4)>
#<alt (- (* -1/18 (+ (log -1) (* -1 (log (/ -1 u1))))) 1/4)>
#<alt (- (* -1/18 (+ (log -1) (* -1 (log (/ -1 u1))))) 1/4)>
#<alt (- (* -1/18 (+ (log -1) (* -1 (log (/ -1 u1))))) 1/4)>
#<alt (- (* -1/18 (+ (log -1) (* -1 (log (/ -1 u1))))) 1/4)>
#<alt (/ 1 (- (* 1/6 (* (sqrt (log u1)) (sqrt -2))) 1/2))>
#<alt (/ 1 (- (* 1/6 (* (sqrt (log u1)) (sqrt -2))) 1/2))>
#<alt (/ 1 (- (* 1/6 (* (sqrt (log u1)) (sqrt -2))) 1/2))>
#<alt (/ 1 (- (* 1/6 (* (sqrt (log u1)) (sqrt -2))) 1/2))>
#<alt (/ 1 (- (* 1/6 (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1)))) 1/2))>
#<alt (/ 1 (- (* 1/6 (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1)))) 1/2))>
#<alt (/ 1 (- (* 1/6 (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1)))) 1/2))>
#<alt (/ 1 (- (* 1/6 (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1)))) 1/2))>
#<alt (/ 1 (- (* 1/6 (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))) 1/2))>
#<alt (/ 1 (- (* 1/6 (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))) 1/2))>
#<alt (/ 1 (- (* 1/6 (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))) 1/2))>
#<alt (/ 1 (- (* 1/6 (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))) 1/2))>
#<alt (* 2 (* u2 (PI)))>
#<alt (* 2 (* u2 (PI)))>
#<alt (* 2 (* u2 (PI)))>
#<alt (* 2 (* u2 (PI)))>
#<alt (* 2 (* u2 (PI)))>
#<alt (* 2 (* u2 (PI)))>
#<alt (* 2 (* u2 (PI)))>
#<alt (* 2 (* u2 (PI)))>
#<alt (* 2 (* u2 (PI)))>
#<alt (* 2 (* u2 (PI)))>
#<alt (* 2 (* u2 (PI)))>
#<alt (* 2 (* u2 (PI)))>
#<alt 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 (* (sqrt (log u1)) (* (sqrt -1) (sqrt 2)))>
#<alt (* (sqrt (log u1)) (* (sqrt -1) (sqrt 2)))>
#<alt (* (sqrt (log u1)) (* (sqrt -1) (sqrt 2)))>
#<alt (* (sqrt (log u1)) (* (sqrt -1) (sqrt 2)))>
#<alt (* (sqrt (log (/ 1 u1))) (* (pow (sqrt -1) 2) (sqrt 2)))>
#<alt (* (sqrt (log (/ 1 u1))) (* (pow (sqrt -1) 2) (sqrt 2)))>
#<alt (* (sqrt (log (/ 1 u1))) (* (pow (sqrt -1) 2) (sqrt 2)))>
#<alt (* (sqrt (log (/ 1 u1))) (* (pow (sqrt -1) 2) (sqrt 2)))>
#<alt (* (* (sqrt -1) (sqrt 2)) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))>
#<alt (* (* (sqrt -1) (sqrt 2)) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))>
#<alt (* (* (sqrt -1) (sqrt 2)) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))>
#<alt (* (* (sqrt -1) (sqrt 2)) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))>
#<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 (* -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 (* -2 (* u2 (pow (PI) 2)))>
#<alt (* -2 (* u2 (pow (PI) 2)))>
#<alt (* 1/6 (* (sqrt (log u1)) (/ (sqrt 2) (sqrt -1))))>
#<alt (* 1/6 (* (sqrt (log u1)) (/ (sqrt 2) (sqrt -1))))>
#<alt (* 1/6 (* (sqrt (log u1)) (/ (sqrt 2) (sqrt -1))))>
#<alt (* 1/6 (* (sqrt (log u1)) (/ (sqrt 2) (sqrt -1))))>
#<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 -1)) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))))>
#<alt (* 1/6 (* (/ (sqrt 2) (sqrt -1)) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))))>
#<alt (* 1/6 (* (/ (sqrt 2) (sqrt -1)) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))))>
#<alt (* 1/6 (* (/ (sqrt 2) (sqrt -1)) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))))>
#<alt (* (sqrt (log u1)) (/ 1 (sqrt -1)))>
#<alt (* (sqrt (log u1)) (/ 1 (sqrt -1)))>
#<alt (* (sqrt (log u1)) (/ 1 (sqrt -1)))>
#<alt (* (sqrt (log u1)) (/ 1 (sqrt -1)))>
#<alt (sqrt (log (/ 1 u1)))>
#<alt (sqrt (log (/ 1 u1)))>
#<alt (sqrt (log (/ 1 u1)))>
#<alt (sqrt (log (/ 1 u1)))>
#<alt (* (/ 1 (sqrt -1)) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))>
#<alt (* (/ 1 (sqrt -1)) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))>
#<alt (* (/ 1 (sqrt -1)) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))>
#<alt (* (/ 1 (sqrt -1)) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))>
#<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)>
Calls

75 calls:

TimeVariablePointExpression
3.0ms
u1
@-inf
(* (* (/ 1 6) (* (/ 1 (sqrt (/ 1 (- 0 (log u1))))) (sqrt 2))) (+ (* u2 (* u2 (* (* (PI) (PI)) -2))) 1))
1.0ms
u1
@0
(* (* (/ 1 6) (* (/ 1 (sqrt (/ 1 (- 0 (log u1))))) (sqrt 2))) (+ (* u2 (* u2 (* (* (PI) (PI)) -2))) 1))
1.0ms
u2
@0
(* (* (/ 1 6) (* (/ 1 (sqrt (/ 1 (- 0 (log u1))))) (sqrt 2))) (+ (* u2 (* u2 (* (* (PI) (PI)) -2))) 1))
1.0ms
u2
@inf
(* (* (/ 1 6) (* (/ 1 (sqrt (/ 1 (- 0 (log u1))))) (sqrt 2))) (+ (* u2 (* u2 (* (* (PI) (PI)) -2))) 1))
1.0ms
u1
@inf
(* (* (/ 1 6) (* (/ 1 (sqrt (/ 1 (- 0 (log u1))))) (sqrt 2))) (+ (* u2 (* u2 (* (* (PI) (PI)) -2))) 1))

rewrite384.0ms (2.8%)

Memory
1.7MiB live, 641.1MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
4 626×*-lowering-*.f32
4 626×*-lowering-*.f64
3 682×/-lowering-/.f32
3 682×/-lowering-/.f64
3 150×accelerator-lowering-fma.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
053210
1257191
21756177
08612168
Stop Event
1×iter limit
1×node limit
Counts
26 → 1 047
Calls
Call 1
Inputs
(+ (* (sqrt (neg (log u1))) (* (* 1/6 (sqrt 2)) (cos (* u2 (* (PI) 2))))) 1/2)
(sqrt (neg (log u1)))
(log u1)
(* (* 1/6 (sqrt 2)) (cos (* u2 (* (PI) 2))))
(* (* 1/6 (sqrt 2)) 1)
(+ (* (sqrt (- 0 (log u1))) (* (* 1/6 (sqrt 2)) 1)) 1/2)
(sqrt (- 0 (log u1)))
(- 0 (log u1))
(/ 1 6)
(* (* (/ 1 6) (* (sqrt (- 0 (log u1))) (sqrt 2))) 1)
(+ (* (* (/ 1 6) (* (sqrt (- 0 (log u1))) (sqrt 2))) 1) 1/2)
(* (/ 1 6) (* (sqrt (- 0 (log u1))) (sqrt 2)))
(* (* (/ 1 6) (* (/ 1 (sqrt (/ 1 (- 0 (log u1))))) (sqrt 2))) (+ (* u2 (* u2 (* (* (PI) (PI)) -2))) 1))
(* (/ 1 (sqrt (/ 1 (- 0 (log u1))))) (sqrt 2))
(/ 1 (- 0 (log u1)))
(* (+ (* (log u1) -1/18) -1/4) (/ 1 (+ (* 1/6 (sqrt (* (log u1) -2))) -1/2)))
(+ (* (log u1) -1/18) -1/4)
(/ 1 (+ (* 1/6 (sqrt (* (log u1) -2))) -1/2))
(* u2 (* (PI) 2))
(cos (* u2 (* (PI) 2)))
(sqrt 2)
(* (sqrt (- 0 (log u1))) (sqrt 2))
(* u2 (* (* (PI) (PI)) -2))
(* (/ 1 6) (* (/ 1 (sqrt (/ 1 (- 0 (log u1))))) (sqrt 2)))
(/ 1 (sqrt (/ 1 (- 0 (log u1)))))
(+ (* 1/6 (sqrt (* (log u1) -2))) -1/2)
Outputs
(+.f64 (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 u2 (PI.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 1/2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 u2 (PI.f64)))) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 (log.f64 u1) #s(literal 2 binary64))))))
(-.f64 (/.f64 (*.f64 (*.f64 (*.f64 (log.f64 u1) #s(literal 2 binary64)) #s(literal 1/36 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 u2 (PI.f64)))))))) (fma.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 u2 (PI.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 1/4 binary64) (fma.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 u2 (PI.f64)))) (*.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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(fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 u2 (PI.f64))))) (sqrt.f64 (log.f64 u1))) #s(literal 1/2 binary64))
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simplify550.0ms (4%)

Memory
-33.4MiB live, 765.6MiB allocated
Algorithm
1×egg-herbie
Rules
12 814×accelerator-lowering-fma.f32
12 814×accelerator-lowering-fma.f64
6 322×*-lowering-*.f32
6 322×*-lowering-*.f64
3 588×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01954014
15543810
218083706
326983636
447323616
569653616
083783469
Stop Event
1×iter limit
1×node limit
Counts
300 → 300
Calls
Call 1
Inputs
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(/ -1 (log u1))
(/ -1 (log u1))
(/ -1 (log u1))
(/ 1 (log (/ 1 u1)))
(/ 1 (log (/ 1 u1)))
(/ 1 (log (/ 1 u1)))
(/ 1 (log (/ 1 u1)))
(/ -1 (+ (log -1) (* -1 (log (/ -1 u1)))))
(/ -1 (+ (log -1) (* -1 (log (/ -1 u1)))))
(/ -1 (+ (log -1) (* -1 (log (/ -1 u1)))))
(/ -1 (+ (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))
(/ (- (* -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 (/ 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)) 1/4)
(- (* -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))))) 1/4)
(/ 1 (- (* 1/6 (* (sqrt (log u1)) (sqrt -2))) 1/2))
(/ 1 (- (* 1/6 (* (sqrt (log u1)) (sqrt -2))) 1/2))
(/ 1 (- (* 1/6 (* (sqrt (log u1)) (sqrt -2))) 1/2))
(/ 1 (- (* 1/6 (* (sqrt (log u1)) (sqrt -2))) 1/2))
(/ 1 (- (* 1/6 (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1)))) 1/2))
(/ 1 (- (* 1/6 (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1)))) 1/2))
(/ 1 (- (* 1/6 (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1)))) 1/2))
(/ 1 (- (* 1/6 (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1)))) 1/2))
(/ 1 (- (* 1/6 (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))) 1/2))
(/ 1 (- (* 1/6 (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))) 1/2))
(/ 1 (- (* 1/6 (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))) 1/2))
(/ 1 (- (* 1/6 (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))) 1/2))
(* 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)))
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))))
(* (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))) (* (pow (sqrt -1) 2) (sqrt 2)))
(* (sqrt (log (/ 1 u1))) (* (pow (sqrt -1) 2) (sqrt 2)))
(* (sqrt (log (/ 1 u1))) (* (pow (sqrt -1) 2) (sqrt 2)))
(* (sqrt (log (/ 1 u1))) (* (pow (sqrt -1) 2) (sqrt 2)))
(* (* (sqrt -1) (sqrt 2)) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))
(* (* (sqrt -1) (sqrt 2)) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))
(* (* (sqrt -1) (sqrt 2)) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))
(* (* (sqrt -1) (sqrt 2)) (sqrt (+ (log -1) (* -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)))
(* 1/6 (* (sqrt (log u1)) (/ (sqrt 2) (sqrt -1))))
(* 1/6 (* (sqrt (log u1)) (/ (sqrt 2) (sqrt -1))))
(* 1/6 (* (sqrt (log u1)) (/ (sqrt 2) (sqrt -1))))
(* 1/6 (* (sqrt (log u1)) (/ (sqrt 2) (sqrt -1))))
(* 1/6 (* (sqrt (log (/ 1 u1))) (sqrt 2)))
(* 1/6 (* (sqrt (log (/ 1 u1))) (sqrt 2)))
(* 1/6 (* (sqrt (log (/ 1 u1))) (sqrt 2)))
(* 1/6 (* (sqrt (log (/ 1 u1))) (sqrt 2)))
(* 1/6 (* (/ (sqrt 2) (sqrt -1)) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))))
(* 1/6 (* (/ (sqrt 2) (sqrt -1)) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))))
(* 1/6 (* (/ (sqrt 2) (sqrt -1)) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))))
(* 1/6 (* (/ (sqrt 2) (sqrt -1)) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))))
(* (sqrt (log u1)) (/ 1 (sqrt -1)))
(* (sqrt (log u1)) (/ 1 (sqrt -1)))
(* (sqrt (log u1)) (/ 1 (sqrt -1)))
(* (sqrt (log u1)) (/ 1 (sqrt -1)))
(sqrt (log (/ 1 u1)))
(sqrt (log (/ 1 u1)))
(sqrt (log (/ 1 u1)))
(sqrt (log (/ 1 u1)))
(* (/ 1 (sqrt -1)) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))
(* (/ 1 (sqrt -1)) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))
(* (/ 1 (sqrt -1)) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))
(* (/ 1 (sqrt -1)) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))
(- (* 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)
Outputs
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (sqrt 2))) (sqrt (log u1)))))
(fma.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 u2 (PI.f64)))) (*.f64 (sqrt.f64 (log.f64 u1)) (*.f64 (*.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(literal -1 binary64)))) #s(literal 1/2 binary64))
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (sqrt 2))) (sqrt (log u1)))))
(fma.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 u2 (PI.f64)))) (*.f64 (sqrt.f64 (log.f64 u1)) (*.f64 (*.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(literal -1 binary64)))) #s(literal 1/2 binary64))
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (sqrt 2))) (sqrt (log u1)))))
(fma.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 u2 (PI.f64)))) (*.f64 (sqrt.f64 (log.f64 u1)) (*.f64 (*.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(literal -1 binary64)))) #s(literal 1/2 binary64))
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (sqrt 2))) (sqrt (log u1)))))
(fma.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 u2 (PI.f64)))) (*.f64 (sqrt.f64 (log.f64 u1)) (*.f64 (*.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(literal -1 binary64)))) #s(literal 1/2 binary64))
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (pow (sqrt -1) 2) (sqrt 2))) (sqrt (log (/ 1 u1))))))
(fma.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 u2 (PI.f64)))) (*.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (log.f64 u1))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -1/6 binary64))) #s(literal 1/2 binary64))
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (pow (sqrt -1) 2) (sqrt 2))) (sqrt (log (/ 1 u1))))))
(fma.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 u2 (PI.f64)))) (*.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (log.f64 u1))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -1/6 binary64))) #s(literal 1/2 binary64))
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (pow (sqrt -1) 2) (sqrt 2))) (sqrt (log (/ 1 u1))))))
(fma.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 u2 (PI.f64)))) (*.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (log.f64 u1))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -1/6 binary64))) #s(literal 1/2 binary64))
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (pow (sqrt -1) 2) (sqrt 2))) (sqrt (log (/ 1 u1))))))
(fma.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 u2 (PI.f64)))) (*.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (log.f64 u1))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -1/6 binary64))) #s(literal 1/2 binary64))
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (sqrt 2))) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))))
(fma.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 (*.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(literal -1 binary64)))) #s(literal 1/2 binary64))
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (sqrt 2))) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))))
(fma.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 (*.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(literal -1 binary64)))) #s(literal 1/2 binary64))
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (sqrt 2))) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))))
(fma.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 (*.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(literal -1 binary64)))) #s(literal 1/2 binary64))
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (sqrt 2))) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))))
(fma.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 (*.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(literal -1 binary64)))) #s(literal 1/2 binary64))
(+ 1/2 (* 1/6 (* (sqrt (log u1)) (* (sqrt -1) (sqrt 2)))))
(fma.f64 (sqrt.f64 (log.f64 u1)) (*.f64 (*.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(literal -1 binary64))) #s(literal 1/2 binary64))
(+ 1/2 (+ (* -1/3 (* (* (pow u2 2) (* (pow (PI) 2) (* (sqrt -1) (sqrt 2)))) (sqrt (log u1)))) (* 1/6 (* (sqrt (log u1)) (* (sqrt -1) (sqrt 2))))))
(fma.f64 (sqrt.f64 (log.f64 u1)) (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 #s(literal -1/3 binary64) (*.f64 u2 (*.f64 u2 (*.f64 (PI.f64) (PI.f64)))) #s(literal 1/6 binary64))) #s(literal 1/2 binary64))
(+ 1/2 (+ (* 1/6 (* (sqrt (log u1)) (* (sqrt -1) (sqrt 2)))) (* (pow u2 2) (+ (* -1/3 (* (* (pow (PI) 2) (* (sqrt -1) (sqrt 2))) (sqrt (log u1)))) (* 1/9 (* (* (pow u2 2) (* (pow (PI) 4) (* (sqrt -1) (sqrt 2)))) (sqrt (log u1))))))))
(fma.f64 (sqrt.f64 (log.f64 u1)) (fma.f64 (*.f64 u2 u2) (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 #s(literal 1/9 binary64) (*.f64 u2 (*.f64 u2 (pow.f64 (PI.f64) #s(literal 4 binary64)))) (*.f64 #s(literal -1/3 binary64) (*.f64 (PI.f64) (PI.f64))))) (*.f64 (*.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(literal -1 binary64)))) #s(literal 1/2 binary64))
(+ 1/2 (+ (* 1/6 (* (sqrt (log u1)) (* (sqrt -1) (sqrt 2)))) (* (pow u2 2) (+ (* -1/3 (* (* (pow (PI) 2) (* (sqrt -1) (sqrt 2))) (sqrt (log u1)))) (* (pow u2 2) (+ (* -2/135 (* (* (pow u2 2) (* (pow (PI) 6) (* (sqrt -1) (sqrt 2)))) (sqrt (log u1)))) (* 1/9 (* (* (pow (PI) 4) (* (sqrt -1) (sqrt 2))) (sqrt (log u1))))))))))
(fma.f64 u2 (*.f64 u2 (*.f64 (*.f64 (sqrt.f64 (log.f64 u1)) (*.f64 u2 u2)) (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 #s(literal -2/135 binary64) (*.f64 u2 (*.f64 u2 (pow.f64 (PI.f64) #s(literal 6 binary64)))) (*.f64 #s(literal 1/9 binary64) (pow.f64 (PI.f64) #s(literal 4 binary64))))))) (fma.f64 (sqrt.f64 (log.f64 u1)) (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 #s(literal -1/3 binary64) (*.f64 u2 (*.f64 u2 (*.f64 (PI.f64) (PI.f64)))) #s(literal 1/6 binary64))) #s(literal 1/2 binary64)))
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (sqrt 2))) (sqrt (log u1)))))
(fma.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 u2 (PI.f64)))) (*.f64 (sqrt.f64 (log.f64 u1)) (*.f64 (*.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(literal -1 binary64)))) #s(literal 1/2 binary64))
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (sqrt 2))) (sqrt (log u1)))))
(fma.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 u2 (PI.f64)))) (*.f64 (sqrt.f64 (log.f64 u1)) (*.f64 (*.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(literal -1 binary64)))) #s(literal 1/2 binary64))
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (sqrt 2))) (sqrt (log u1)))))
(fma.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 u2 (PI.f64)))) (*.f64 (sqrt.f64 (log.f64 u1)) (*.f64 (*.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(literal -1 binary64)))) #s(literal 1/2 binary64))
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (sqrt 2))) (sqrt (log u1)))))
(fma.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 u2 (PI.f64)))) (*.f64 (sqrt.f64 (log.f64 u1)) (*.f64 (*.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(literal -1 binary64)))) #s(literal 1/2 binary64))
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (sqrt 2))) (sqrt (log u1)))))
(fma.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 u2 (PI.f64)))) (*.f64 (sqrt.f64 (log.f64 u1)) (*.f64 (*.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(literal -1 binary64)))) #s(literal 1/2 binary64))
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (sqrt 2))) (sqrt (log u1)))))
(fma.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 u2 (PI.f64)))) (*.f64 (sqrt.f64 (log.f64 u1)) (*.f64 (*.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(literal -1 binary64)))) #s(literal 1/2 binary64))
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (sqrt 2))) (sqrt (log u1)))))
(fma.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 u2 (PI.f64)))) (*.f64 (sqrt.f64 (log.f64 u1)) (*.f64 (*.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(literal -1 binary64)))) #s(literal 1/2 binary64))
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (sqrt 2))) (sqrt (log u1)))))
(fma.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 u2 (PI.f64)))) (*.f64 (sqrt.f64 (log.f64 u1)) (*.f64 (*.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(literal -1 binary64)))) #s(literal 1/2 binary64))
(* (sqrt (log u1)) (sqrt -1))
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (log.f64 u1)))
(* (sqrt (log u1)) (sqrt -1))
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (log.f64 u1)))
(* (sqrt (log u1)) (sqrt -1))
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (log.f64 u1)))
(* (sqrt (log u1)) (sqrt -1))
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (log.f64 u1)))
(* (sqrt (log (/ 1 u1))) (pow (sqrt -1) 2))
(-.f64 #s(literal 0 binary64) (sqrt.f64 (-.f64 #s(literal 0 binary64) (log.f64 u1))))
(* (sqrt (log (/ 1 u1))) (pow (sqrt -1) 2))
(-.f64 #s(literal 0 binary64) (sqrt.f64 (-.f64 #s(literal 0 binary64) (log.f64 u1))))
(* (sqrt (log (/ 1 u1))) (pow (sqrt -1) 2))
(-.f64 #s(literal 0 binary64) (sqrt.f64 (-.f64 #s(literal 0 binary64) (log.f64 u1))))
(* (sqrt (log (/ 1 u1))) (pow (sqrt -1) 2))
(-.f64 #s(literal 0 binary64) (sqrt.f64 (-.f64 #s(literal 0 binary64) (log.f64 u1))))
(* (sqrt -1) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) u1)))))
(* (sqrt -1) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) u1)))))
(* (sqrt -1) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))
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(- (* 1/6 (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1)))) 1/2)
(fma.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -2 binary64))) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (-.f64 #s(literal 0 binary64) (log.f64 u1)))) #s(literal -1/2 binary64))
(- (* 1/6 (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1)))) 1/2)
(fma.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -2 binary64))) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (-.f64 #s(literal 0 binary64) (log.f64 u1)))) #s(literal -1/2 binary64))
(- (* 1/6 (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))) 1/2)
(fma.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))) #s(literal -1/2 binary64))
(- (* 1/6 (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))) 1/2)
(fma.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))) #s(literal -1/2 binary64))
(- (* 1/6 (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))) 1/2)
(fma.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))) #s(literal -1/2 binary64))
(- (* 1/6 (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))) 1/2)
(fma.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))) #s(literal -1/2 binary64))

eval510.0ms (3.7%)

Memory
-60.2MiB live, 444.8MiB allocated
Compiler

Compiled 56 472 to 6 705 computations (88.1% saved)

prune292.0ms (2.1%)

Memory
16.3MiB live, 641.4MiB allocated
Pruning

18 alts after pruning (15 fresh and 3 done)

PrunedKeptTotal
New2 17292 181
Fresh4610
Picked325
Done011
Total2 179182 197
Accuracy
100.0%
Counts
2 197 → 18
Alt Table
Click to see full alt table
StatusAccuracyProgram
98.4%
(fma.f64 (fma.f64 (*.f64 u2 (*.f64 (PI.f64) (PI.f64))) (*.f64 #s(literal -2 binary64) u2) #s(literal 1 binary64)) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)))) #s(literal 1/2 binary64))
97.1%
(fma.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))
99.5%
(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))
1.7%
(fma.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (log.f64 u1))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -1/6 binary64)) #s(literal 1/2 binary64))
✓98.1%
(fma.f64 (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal 1/6 binary64) #s(literal 1/2 binary64))
98.9%
(fma.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (*.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) #s(literal 2 binary64))) (cos.f64 (*.f64 u2 (*.f64 (PI.f64) #s(literal 2 binary64))))) #s(literal 1/2 binary64))
98.5%
(fma.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (*.f64 (*.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (*.f64 u2 u2) #s(literal -2 binary64)) #s(literal 1 binary64))) #s(literal 1/2 binary64))
✓99.6%
(fma.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (*.f64 (*.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal 2 binary64))) (cos.f64 (*.f64 u2 (*.f64 (PI.f64) #s(literal 2 binary64))))) #s(literal 1/2 binary64))
98.5%
(fma.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal -1/3 binary64) (*.f64 u2 (*.f64 u2 (*.f64 (PI.f64) (PI.f64)))) #s(literal 1/6 binary64))) #s(literal 1/2 binary64))
98.2%
(fma.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/2 binary64))
99.3%
(/.f64 (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 (*.f64 (log.f64 u1) #s(literal -2 binary64)) #s(literal 1/36 binary64)) #s(literal -1/4 binary64)) (fma.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)))
97.9%
(/.f64 (fma.f64 (log.f64 u1) #s(literal -1/18 binary64) #s(literal -1/4 binary64)) (fma.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal -1/2 binary64)))
98.0%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal 1/2 binary64))))
98.3%
(+.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (log.f64 u1))))) (sqrt.f64 #s(literal 2 binary64)))) (fma.f64 u2 (*.f64 u2 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal -2 binary64))) #s(literal 1 binary64))) #s(literal 1/2 binary64))
98.2%
(+.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (log.f64 u1))) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64))
98.5%
(+.f64 (*.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (log.f64 u1))) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (*.f64 u2 u2) #s(literal -2 binary64)) #s(literal 1 binary64))) #s(literal 1/6 binary64))) #s(literal 1/2 binary64))
✓97.8%
(*.f64 (fma.f64 (log.f64 u1) #s(literal -1/18 binary64) #s(literal -1/4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal -1/2 binary64))))
97.8%
(*.f64 (fma.f64 (log.f64 u1) #s(literal -1/18 binary64) #s(literal -1/4 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) (fma.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal 1/2 binary64)))))
Compiler

Compiled 1 498 to 508 computations (66.1% saved)

regimes184.0ms (1.3%)

Memory
13.9MiB live, 261.1MiB allocated
Counts
51 → 1
Calls
Call 1
Inputs
(fma.f64 (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal 1/6 binary64) #s(literal 1/2 binary64))
(fma.f64 (sqrt.f64 (log.f64 u1)) (*.f64 (sqrt.f64 #s(literal -2 binary64)) #s(literal 1/6 binary64)) #s(literal 1/2 binary64))
(fma.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/2 binary64))
(fma.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (log.f64 u1))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -1/6 binary64)) #s(literal 1/2 binary64))
(fma.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (log.f64 u1))) (*.f64 (*.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 1/2 binary64))
(+.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (log.f64 u1))) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal 1/2 binary64))))
(fma.f64 (fma.f64 (*.f64 u2 (*.f64 (PI.f64) (PI.f64))) (*.f64 #s(literal -2 binary64) u2) #s(literal 1 binary64)) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)))) #s(literal 1/2 binary64))
(+.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) (*.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (log.f64 u1))) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64))
(fma.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal -1/3 binary64) (*.f64 u2 (*.f64 u2 (*.f64 (PI.f64) (PI.f64)))) #s(literal 1/6 binary64))) #s(literal 1/2 binary64))
(fma.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (*.f64 (*.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (*.f64 u2 u2) #s(literal -2 binary64)) #s(literal 1 binary64))) #s(literal 1/2 binary64))
(fma.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (log.f64 u1))) (*.f64 (*.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 (*.f64 u2 u2) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal -2 binary64)) #s(literal 1 binary64))) #s(literal 1/2 binary64))
(+.f64 (*.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (log.f64 u1))) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (*.f64 u2 u2) #s(literal -2 binary64)) #s(literal 1 binary64))) #s(literal 1/6 binary64))) #s(literal 1/2 binary64))
(+.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (log.f64 u1))) (sqrt.f64 #s(literal 2 binary64)))) (fma.f64 u2 (*.f64 u2 (*.f64 (*.f64 (PI.f64) (PI.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)) (*.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (log.f64 u1))) (sqrt.f64 #s(literal 2 binary64)))) (fma.f64 u2 (*.f64 u2 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal -2 binary64))) #s(literal 1 binary64))) #s(literal 1/2 binary64))
(+.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (log.f64 u1))))) (sqrt.f64 #s(literal 2 binary64)))) (fma.f64 u2 (*.f64 u2 (*.f64 (*.f64 (PI.f64) (PI.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)) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (log.f64 u1))))) (sqrt.f64 #s(literal 2 binary64)))) (fma.f64 u2 (*.f64 u2 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal -2 binary64))) #s(literal 1 binary64))) #s(literal 1/2 binary64))
(fma.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal 1/6 binary64)) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))) #s(literal 1/2 binary64))
(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))
(/.f64 (fma.f64 (log.f64 u1) #s(literal -1/18 binary64) #s(literal -1/4 binary64)) (fma.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal -1/2 binary64)))
(*.f64 (fma.f64 (log.f64 u1) #s(literal -1/18 binary64) #s(literal -1/4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal -1/2 binary64))))
(/.f64 (fma.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) (fma.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 1/4 binary64) (*.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)) #s(literal 1/36 binary64))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))))))
(*.f64 (fma.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal -1/2 binary64))))
(fma.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (*.f64 (*.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal 2 binary64))) (cos.f64 (*.f64 u2 (*.f64 (PI.f64) #s(literal 2 binary64))))) #s(literal 1/2 binary64))
(fma.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (log.f64 u1))) (*.f64 (*.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal 2 binary64))) (cos.f64 (*.f64 u2 (*.f64 (PI.f64) #s(literal 2 binary64))))) #s(literal 1/2 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))) #s(literal 1/2 binary64))))
(+.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) (*.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (log.f64 u1))) (sqrt.f64 #s(literal 2 binary64)))) (cos.f64 (*.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) u2))) #s(literal 1/2 binary64))
(fma.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 (*.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 (*.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 (fma.f64 (log.f64 u1) #s(literal -1/18 binary64) #s(literal -1/4 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) (fma.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal 1/2 binary64)))))
(fma.f64 (pow.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)) #s(literal 1/4 binary64)) (*.f64 (pow.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)) #s(literal 1/4 binary64)) #s(literal 1/6 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))))) #s(literal 1 binary64)) #s(literal 1/2 binary64))
(fma.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (*.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) #s(literal 2 binary64))) (cos.f64 (*.f64 u2 (*.f64 (PI.f64) #s(literal 2 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))) (cos.f64 (*.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) u2))) #s(literal 1/2 binary64))
(+.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) (pow.f64 (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 2 binary64)) #s(literal 1/4 binary64))) (cos.f64 (*.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) u2))) #s(literal 1/2 binary64))
(+.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) (exp.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)))))) (cos.f64 (*.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) u2))) #s(literal 1/2 binary64))
(fma.f64 (exp.f64 (*.f64 (log.f64 (-.f64 #s(literal 0 binary64) (log.f64 u1))) #s(literal 1/2 binary64))) (*.f64 (*.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal 2 binary64))) (cos.f64 (*.f64 u2 (*.f64 (PI.f64) #s(literal 2 binary64))))) #s(literal 1/2 binary64))
(/.f64 (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 (*.f64 (log.f64 u1) #s(literal -2 binary64)) #s(literal 1/36 binary64)) #s(literal -1/4 binary64)) (fma.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 (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 (*.f64 (log.f64 u1) #s(literal -2 binary64)) #s(literal 1/36 binary64)) #s(literal -1/4 binary64)) (/.f64 #s(literal 1 binary64) (fma.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))))
(fma.f64 (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/4 binary64)) (*.f64 (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/4 binary64)) (*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))))) #s(literal 1/2 binary64))
(+.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (log.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))))) (cos.f64 (*.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) u2))) #s(literal 1/2 binary64))
(+.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 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)))) (cos.f64 (*.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) u2))) #s(literal 1/2 binary64))
(/.f64 (fma.f64 #s(literal 1/36 binary64) (pow.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))) #s(literal 2 binary64)) #s(literal -1/4 binary64)) (fma.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))) #s(literal -1/2 binary64)))
(*.f64 (fma.f64 #s(literal 1/36 binary64) (pow.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))) #s(literal 2 binary64)) #s(literal -1/4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))) #s(literal -1/2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))) #s(literal -1/6 binary64))) (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal -1/36 binary64) (pow.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))) #s(literal 2 binary64))))))
(/.f64 (fma.f64 #s(literal 1/216 binary64) (pow.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (fma.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))))) (fma.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))) #s(literal -1/2 binary64)) #s(literal 1/4 binary64)))
(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)) (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))) (neg.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))) #s(literal -1/2 binary64)))))
(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) (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))) (neg.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))) #s(literal -1/2 binary64)))))
(/.f64 (+.f64 (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 (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 #s(literal 1/36 binary64) (pow.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))) #s(literal 2 binary64)) #s(literal 1/4 binary64))))
Outputs
(fma.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (*.f64 (*.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal 2 binary64))) (cos.f64 (*.f64 u2 (*.f64 (PI.f64) #s(literal 2 binary64))))) #s(literal 1/2 binary64))
Calls

10 calls:

41.0ms
(pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/2 binary64))
31.0ms
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/2 binary64))) (cos.f64 (*.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) u2)))
15.0ms
(+.f64 (*.f64 (*.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))
15.0ms
(*.f64 #s(literal -2 binary64) (log.f64 u1))
15.0ms
u1
Results
AccuracySegmentsBranch
99.6%1u1
99.6%1u2
99.6%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))
99.6%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)))
99.6%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)))
99.6%1(pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/2 binary64))
99.6%1(*.f64 #s(literal -2 binary64) (log.f64 u1))
99.6%1(log.f64 u1)
99.6%1(cos.f64 (*.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) u2))
99.6%1(*.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) u2)
Compiler

Compiled 91 to 78 computations (14.3% saved)

regimes77.0ms (0.6%)

Memory
9.8MiB live, 166.2MiB allocated
Counts
24 → 1
Calls
Call 1
Inputs
(fma.f64 (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal 1/6 binary64) #s(literal 1/2 binary64))
(fma.f64 (sqrt.f64 (log.f64 u1)) (*.f64 (sqrt.f64 #s(literal -2 binary64)) #s(literal 1/6 binary64)) #s(literal 1/2 binary64))
(fma.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/2 binary64))
(fma.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (log.f64 u1))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -1/6 binary64)) #s(literal 1/2 binary64))
(fma.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (log.f64 u1))) (*.f64 (*.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 1/2 binary64))
(+.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (log.f64 u1))) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal 1/2 binary64))))
(fma.f64 (fma.f64 (*.f64 u2 (*.f64 (PI.f64) (PI.f64))) (*.f64 #s(literal -2 binary64) u2) #s(literal 1 binary64)) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)))) #s(literal 1/2 binary64))
(+.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) (*.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (log.f64 u1))) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64))
(fma.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal -1/3 binary64) (*.f64 u2 (*.f64 u2 (*.f64 (PI.f64) (PI.f64)))) #s(literal 1/6 binary64))) #s(literal 1/2 binary64))
(fma.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (*.f64 (*.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (*.f64 u2 u2) #s(literal -2 binary64)) #s(literal 1 binary64))) #s(literal 1/2 binary64))
(fma.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (log.f64 u1))) (*.f64 (*.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 (*.f64 u2 u2) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal -2 binary64)) #s(literal 1 binary64))) #s(literal 1/2 binary64))
(+.f64 (*.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (log.f64 u1))) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (*.f64 u2 u2) #s(literal -2 binary64)) #s(literal 1 binary64))) #s(literal 1/6 binary64))) #s(literal 1/2 binary64))
(+.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (log.f64 u1))) (sqrt.f64 #s(literal 2 binary64)))) (fma.f64 u2 (*.f64 u2 (*.f64 (*.f64 (PI.f64) (PI.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)) (*.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (log.f64 u1))) (sqrt.f64 #s(literal 2 binary64)))) (fma.f64 u2 (*.f64 u2 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal -2 binary64))) #s(literal 1 binary64))) #s(literal 1/2 binary64))
(+.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (log.f64 u1))))) (sqrt.f64 #s(literal 2 binary64)))) (fma.f64 u2 (*.f64 u2 (*.f64 (*.f64 (PI.f64) (PI.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)) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (log.f64 u1))))) (sqrt.f64 #s(literal 2 binary64)))) (fma.f64 u2 (*.f64 u2 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal -2 binary64))) #s(literal 1 binary64))) #s(literal 1/2 binary64))
(fma.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal 1/6 binary64)) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))) #s(literal 1/2 binary64))
(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))
(/.f64 (fma.f64 (log.f64 u1) #s(literal -1/18 binary64) #s(literal -1/4 binary64)) (fma.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal -1/2 binary64)))
(*.f64 (fma.f64 (log.f64 u1) #s(literal -1/18 binary64) #s(literal -1/4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal -1/2 binary64))))
(/.f64 (fma.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) (fma.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 1/4 binary64) (*.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)) #s(literal 1/36 binary64))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))))))
(*.f64 (fma.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal -1/2 binary64))))
Outputs
(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))
Calls

10 calls:

9.0ms
(*.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) u2)
9.0ms
(*.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)))
8.0ms
(*.f64 #s(literal -2 binary64) (log.f64 u1))
7.0ms
u2
7.0ms
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/2 binary64)))
Results
AccuracySegmentsBranch
99.5%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)

regimes99.0ms (0.7%)

Memory
3.8MiB live, 117.9MiB allocated
Counts
18 → 1
Calls
Call 1
Inputs
(fma.f64 (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal 1/6 binary64) #s(literal 1/2 binary64))
(fma.f64 (sqrt.f64 (log.f64 u1)) (*.f64 (sqrt.f64 #s(literal -2 binary64)) #s(literal 1/6 binary64)) #s(literal 1/2 binary64))
(fma.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/2 binary64))
(fma.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (log.f64 u1))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -1/6 binary64)) #s(literal 1/2 binary64))
(fma.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (log.f64 u1))) (*.f64 (*.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 1/2 binary64))
(+.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (log.f64 u1))) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal 1/2 binary64))))
(fma.f64 (fma.f64 (*.f64 u2 (*.f64 (PI.f64) (PI.f64))) (*.f64 #s(literal -2 binary64) u2) #s(literal 1 binary64)) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)))) #s(literal 1/2 binary64))
(+.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) (*.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (log.f64 u1))) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64))
(fma.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal -1/3 binary64) (*.f64 u2 (*.f64 u2 (*.f64 (PI.f64) (PI.f64)))) #s(literal 1/6 binary64))) #s(literal 1/2 binary64))
(fma.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (*.f64 (*.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (*.f64 u2 u2) #s(literal -2 binary64)) #s(literal 1 binary64))) #s(literal 1/2 binary64))
(fma.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (log.f64 u1))) (*.f64 (*.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 (*.f64 u2 u2) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal -2 binary64)) #s(literal 1 binary64))) #s(literal 1/2 binary64))
(+.f64 (*.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (log.f64 u1))) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (*.f64 u2 u2) #s(literal -2 binary64)) #s(literal 1 binary64))) #s(literal 1/6 binary64))) #s(literal 1/2 binary64))
(+.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (log.f64 u1))) (sqrt.f64 #s(literal 2 binary64)))) (fma.f64 u2 (*.f64 u2 (*.f64 (*.f64 (PI.f64) (PI.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)) (*.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (log.f64 u1))) (sqrt.f64 #s(literal 2 binary64)))) (fma.f64 u2 (*.f64 u2 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal -2 binary64))) #s(literal 1 binary64))) #s(literal 1/2 binary64))
(+.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (log.f64 u1))))) (sqrt.f64 #s(literal 2 binary64)))) (fma.f64 u2 (*.f64 u2 (*.f64 (*.f64 (PI.f64) (PI.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)) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (log.f64 u1))))) (sqrt.f64 #s(literal 2 binary64)))) (fma.f64 u2 (*.f64 u2 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal -2 binary64))) #s(literal 1 binary64))) #s(literal 1/2 binary64))
(fma.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal 1/6 binary64)) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))) #s(literal 1/2 binary64))
Outputs
(fma.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal 1/6 binary64)) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))) #s(literal 1/2 binary64))
Calls

10 calls:

40.0ms
(*.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) u2)
12.0ms
(pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/2 binary64))
8.0ms
(+.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))
6.0ms
(*.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)))
6.0ms
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/2 binary64)))
Results
AccuracySegmentsBranch
99.5%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)

regimes63.0ms (0.5%)

Memory
-1.0MiB live, 119.9MiB allocated
Counts
17 → 1
Calls
Call 1
Inputs
(fma.f64 (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal 1/6 binary64) #s(literal 1/2 binary64))
(fma.f64 (sqrt.f64 (log.f64 u1)) (*.f64 (sqrt.f64 #s(literal -2 binary64)) #s(literal 1/6 binary64)) #s(literal 1/2 binary64))
(fma.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/2 binary64))
(fma.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (log.f64 u1))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -1/6 binary64)) #s(literal 1/2 binary64))
(fma.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (log.f64 u1))) (*.f64 (*.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 1/2 binary64))
(+.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (log.f64 u1))) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal 1/2 binary64))))
(fma.f64 (fma.f64 (*.f64 u2 (*.f64 (PI.f64) (PI.f64))) (*.f64 #s(literal -2 binary64) u2) #s(literal 1 binary64)) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)))) #s(literal 1/2 binary64))
(+.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) (*.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (log.f64 u1))) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64))
(fma.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal -1/3 binary64) (*.f64 u2 (*.f64 u2 (*.f64 (PI.f64) (PI.f64)))) #s(literal 1/6 binary64))) #s(literal 1/2 binary64))
(fma.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (*.f64 (*.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (*.f64 u2 u2) #s(literal -2 binary64)) #s(literal 1 binary64))) #s(literal 1/2 binary64))
(fma.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (log.f64 u1))) (*.f64 (*.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 (*.f64 u2 u2) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal -2 binary64)) #s(literal 1 binary64))) #s(literal 1/2 binary64))
(+.f64 (*.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (log.f64 u1))) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (*.f64 u2 u2) #s(literal -2 binary64)) #s(literal 1 binary64))) #s(literal 1/6 binary64))) #s(literal 1/2 binary64))
(+.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (log.f64 u1))) (sqrt.f64 #s(literal 2 binary64)))) (fma.f64 u2 (*.f64 u2 (*.f64 (*.f64 (PI.f64) (PI.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)) (*.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (log.f64 u1))) (sqrt.f64 #s(literal 2 binary64)))) (fma.f64 u2 (*.f64 u2 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal -2 binary64))) #s(literal 1 binary64))) #s(literal 1/2 binary64))
(+.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (log.f64 u1))))) (sqrt.f64 #s(literal 2 binary64)))) (fma.f64 u2 (*.f64 u2 (*.f64 (*.f64 (PI.f64) (PI.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)) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (log.f64 u1))))) (sqrt.f64 #s(literal 2 binary64)))) (fma.f64 u2 (*.f64 u2 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal -2 binary64))) #s(literal 1 binary64))) #s(literal 1/2 binary64))
Outputs
(+.f64 (*.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (log.f64 u1))) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (*.f64 u2 u2) #s(literal -2 binary64)) #s(literal 1 binary64))) #s(literal 1/6 binary64))) #s(literal 1/2 binary64))
Calls

10 calls:

9.0ms
(pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/2 binary64))
8.0ms
(+.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))
8.0ms
(*.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) u2)
6.0ms
(*.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)))
5.0ms
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/2 binary64)))
Results
AccuracySegmentsBranch
98.5%1u1
98.5%1u2
98.5%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))
98.5%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)))
98.5%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)))
98.5%1(pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/2 binary64))
98.5%1(*.f64 #s(literal -2 binary64) (log.f64 u1))
98.5%1(log.f64 u1)
98.5%1(cos.f64 (*.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) u2))
98.5%1(*.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) u2)
Compiler

Compiled 91 to 78 computations (14.3% saved)

regimes54.0ms (0.4%)

Memory
-42.1MiB live, 91.5MiB allocated
Counts
12 → 1
Calls
Call 1
Inputs
(fma.f64 (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal 1/6 binary64) #s(literal 1/2 binary64))
(fma.f64 (sqrt.f64 (log.f64 u1)) (*.f64 (sqrt.f64 #s(literal -2 binary64)) #s(literal 1/6 binary64)) #s(literal 1/2 binary64))
(fma.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/2 binary64))
(fma.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (log.f64 u1))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -1/6 binary64)) #s(literal 1/2 binary64))
(fma.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (log.f64 u1))) (*.f64 (*.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 1/2 binary64))
(+.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (log.f64 u1))) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal 1/2 binary64))))
(fma.f64 (fma.f64 (*.f64 u2 (*.f64 (PI.f64) (PI.f64))) (*.f64 #s(literal -2 binary64) u2) #s(literal 1 binary64)) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)))) #s(literal 1/2 binary64))
(+.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) (*.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (log.f64 u1))) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64))
(fma.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal -1/3 binary64) (*.f64 u2 (*.f64 u2 (*.f64 (PI.f64) (PI.f64)))) #s(literal 1/6 binary64))) #s(literal 1/2 binary64))
(fma.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (*.f64 (*.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (*.f64 u2 u2) #s(literal -2 binary64)) #s(literal 1 binary64))) #s(literal 1/2 binary64))
(fma.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (log.f64 u1))) (*.f64 (*.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 (*.f64 u2 u2) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal -2 binary64)) #s(literal 1 binary64))) #s(literal 1/2 binary64))
Outputs
(fma.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal -1/3 binary64) (*.f64 u2 (*.f64 u2 (*.f64 (PI.f64) (PI.f64)))) #s(literal 1/6 binary64))) #s(literal 1/2 binary64))
Calls

10 calls:

10.0ms
u1
8.0ms
(cos.f64 (*.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) u2))
5.0ms
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/2 binary64)))
4.0ms
(+.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))
4.0ms
(*.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
98.5%1u1
98.5%1u2
98.5%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))
98.5%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)))
98.5%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)))
98.5%1(pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/2 binary64))
98.5%1(*.f64 #s(literal -2 binary64) (log.f64 u1))
98.5%1(log.f64 u1)
98.5%1(cos.f64 (*.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) u2))
98.5%1(*.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) u2)
Compiler

Compiled 91 to 78 computations (14.3% saved)

regimes36.0ms (0.3%)

Memory
4.0MiB live, 81.5MiB allocated
Counts
9 → 1
Calls
Call 1
Inputs
(fma.f64 (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal 1/6 binary64) #s(literal 1/2 binary64))
(fma.f64 (sqrt.f64 (log.f64 u1)) (*.f64 (sqrt.f64 #s(literal -2 binary64)) #s(literal 1/6 binary64)) #s(literal 1/2 binary64))
(fma.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/2 binary64))
(fma.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (log.f64 u1))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -1/6 binary64)) #s(literal 1/2 binary64))
(fma.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (log.f64 u1))) (*.f64 (*.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 1/2 binary64))
(+.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (log.f64 u1))) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal 1/2 binary64))))
(fma.f64 (fma.f64 (*.f64 u2 (*.f64 (PI.f64) (PI.f64))) (*.f64 #s(literal -2 binary64) u2) #s(literal 1 binary64)) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)))) #s(literal 1/2 binary64))
(+.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) (*.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (log.f64 u1))) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64))
Outputs
(fma.f64 (fma.f64 (*.f64 u2 (*.f64 (PI.f64) (PI.f64))) (*.f64 #s(literal -2 binary64) u2) #s(literal 1 binary64)) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)))) #s(literal 1/2 binary64))
Calls

10 calls:

5.0ms
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/2 binary64)))
4.0ms
u1
4.0ms
(*.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)))
4.0ms
(+.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))
3.0ms
(pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/2 binary64))
Results
AccuracySegmentsBranch
98.4%1u1
98.4%1u2
98.4%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))
98.4%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)))
98.4%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)))
98.4%1(pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/2 binary64))
98.4%1(*.f64 #s(literal -2 binary64) (log.f64 u1))
98.4%1(log.f64 u1)
98.4%1(cos.f64 (*.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) u2))
98.4%1(*.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) u2)
Compiler

Compiled 91 to 78 computations (14.3% saved)

regimes30.0ms (0.2%)

Memory
29.2MiB live, 68.3MiB allocated
Counts
7 → 1
Calls
Call 1
Inputs
(fma.f64 (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal 1/6 binary64) #s(literal 1/2 binary64))
(fma.f64 (sqrt.f64 (log.f64 u1)) (*.f64 (sqrt.f64 #s(literal -2 binary64)) #s(literal 1/6 binary64)) #s(literal 1/2 binary64))
(fma.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/2 binary64))
(fma.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (log.f64 u1))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -1/6 binary64)) #s(literal 1/2 binary64))
(fma.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (log.f64 u1))) (*.f64 (*.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 1/2 binary64))
(+.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (log.f64 u1))) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal 1/2 binary64))))
Outputs
(fma.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/2 binary64))
Calls

10 calls:

3.0ms
(+.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))
3.0ms
(*.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)))
3.0ms
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/2 binary64)))
3.0ms
u2
3.0ms
(pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/2 binary64))
Results
AccuracySegmentsBranch
98.2%1u1
98.2%1u2
98.2%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))
98.2%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)))
98.2%1(log.f64 u1)
98.2%1(cos.f64 (*.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) u2))
98.2%1(*.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) u2)
98.2%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)))
98.2%1(pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/2 binary64))
98.2%1(*.f64 #s(literal -2 binary64) (log.f64 u1))
Compiler

Compiled 91 to 78 computations (14.3% saved)

regimes18.0ms (0.1%)

Memory
-4.2MiB live, 36.2MiB allocated
Accuracy

Total -62.8b remaining (-5060.4%)

Threshold costs -62.8b (-5060.4%)

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

10 calls:

3.0ms
(*.f64 #s(literal -2 binary64) (log.f64 u1))
2.0ms
(+.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))
2.0ms
(*.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)))
2.0ms
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/2 binary64)))
2.0ms
(pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/2 binary64))
Results
AccuracySegmentsBranch
98.1%1u1
98.1%1(log.f64 u1)
98.1%1u2
98.1%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))
98.1%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)))
98.1%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)))
98.1%1(pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/2 binary64))
98.1%1(*.f64 #s(literal -2 binary64) (log.f64 u1))
98.1%1(cos.f64 (*.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) u2))
98.1%1(*.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) u2)
Compiler

Compiled 91 to 78 computations (14.3% saved)

simplify10.0ms (0.1%)

Memory
-19.7MiB live, 19.5MiB allocated
Algorithm
1×egg-herbie
Rules
38×*-commutative_binary64
4×+-commutative_binary64
2×sub-neg_binary64
2×1-exp_binary64
2×neg-sub0_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
052125
179125
281125
Stop Event
1×saturated
Calls
Call 1
Inputs
(fma.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (*.f64 (*.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal 2 binary64))) (cos.f64 (*.f64 u2 (*.f64 (PI.f64) #s(literal 2 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 (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal 1/6 binary64)) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))) #s(literal 1/2 binary64))
(+.f64 (*.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (log.f64 u1))) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (*.f64 u2 u2) #s(literal -2 binary64)) #s(literal 1 binary64))) #s(literal 1/6 binary64))) #s(literal 1/2 binary64))
(fma.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal -1/3 binary64) (*.f64 u2 (*.f64 u2 (*.f64 (PI.f64) (PI.f64)))) #s(literal 1/6 binary64))) #s(literal 1/2 binary64))
(fma.f64 (fma.f64 (*.f64 u2 (*.f64 (PI.f64) (PI.f64))) (*.f64 #s(literal -2 binary64) u2) #s(literal 1 binary64)) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)))) #s(literal 1/2 binary64))
(fma.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/2 binary64))
(fma.f64 (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal 1/6 binary64) #s(literal 1/2 binary64))
Outputs
(fma.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (*.f64 (*.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal 2 binary64))) (cos.f64 (*.f64 u2 (*.f64 (PI.f64) #s(literal 2 binary64))))) #s(literal 1/2 binary64))
(fma.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (log.f64 u1))) (*.f64 (*.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal 2 binary64))) (cos.f64 (*.f64 u2 (*.f64 #s(literal 2 binary64) (PI.f64))))) #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 (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 u2 (PI.f64))))) #s(literal 1/6 binary64) #s(literal 1/2 binary64))
(fma.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal 1/6 binary64)) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))) #s(literal 1/2 binary64))
(fma.f64 (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)))) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 u2 (PI.f64)))) #s(literal 1/2 binary64))
(+.f64 (*.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (log.f64 u1))) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (*.f64 u2 u2) #s(literal -2 binary64)) #s(literal 1 binary64))) #s(literal 1/6 binary64))) #s(literal 1/2 binary64))
(+.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (log.f64 u1))) (*.f64 #s(literal 1/6 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 #s(literal -2 binary64) (*.f64 u2 u2)) #s(literal 1 binary64))))))
(fma.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal -1/3 binary64) (*.f64 u2 (*.f64 u2 (*.f64 (PI.f64) (PI.f64)))) #s(literal 1/6 binary64))) #s(literal 1/2 binary64))
(fma.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (log.f64 u1))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal -1/3 binary64) (*.f64 u2 (*.f64 u2 (*.f64 (PI.f64) (PI.f64)))) #s(literal 1/6 binary64))) #s(literal 1/2 binary64))
(fma.f64 (fma.f64 (*.f64 u2 (*.f64 (PI.f64) (PI.f64))) (*.f64 #s(literal -2 binary64) u2) #s(literal 1 binary64)) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)))) #s(literal 1/2 binary64))
(fma.f64 (fma.f64 (*.f64 u2 (*.f64 (PI.f64) (PI.f64))) (*.f64 u2 #s(literal -2 binary64)) #s(literal 1 binary64)) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)))) #s(literal 1/2 binary64))
(fma.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/2 binary64))
(fma.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))
(fma.f64 (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal 1/6 binary64) #s(literal 1/2 binary64))

soundness1.4s (10.5%)

Memory
63.4MiB live, 985.1MiB allocated
Rules
43 450×accelerator-lowering-fma.f32
43 450×accelerator-lowering-fma.f64
12 814×accelerator-lowering-fma.f32
12 814×accelerator-lowering-fma.f64
9 938×*-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
050179
1259178
21578167
08545158
054271
1259268
21729257
08786247
01954014
15543810
218083706
326983636
447323616
569653616
083783469
03848940
111618052
245888040
091087633
01948
17048
236148
0283247
Stop Event
1×fuel
1×iter limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
Compiler

Compiled 436 to 310 computations (28.9% saved)

preprocess129.0ms (0.9%)

Memory
-12.3MiB live, 242.8MiB allocated
Remove

(abs u2)

Compiler

Compiled 624 to 402 computations (35.6% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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