normal distribution

Time bar (total: 13.5s)

analyze23.0ms (0.2%)

Memory
-8.8MiB live, 29.6MiB 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
69.8MiB live, 1 762.9MiB allocated
Samples
1.5s8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 1.0s
ival-mult: 467.0ms (46.2% of total)
ival-<=: 112.0ms (11.1% of total)
ival-log: 106.0ms (10.5% of total)
ival-cos: 80.0ms (7.9% of total)
ival-div: 70.0ms (6.9% of total)
ival-sqrt: 54.0ms (5.3% of total)
ival-add: 42.0ms (4.2% of total)
ival-pi: 33.0ms (3.3% of total)
exact: 23.0ms (2.3% of total)
ival-and: 21.0ms (2.1% of total)
ival-assert: 3.0ms (0.3% of total)
Bogosity

preprocess28.0ms (0.2%)

Memory
-1.9MiB live, 36.1MiB allocated
Algorithm
2×egg-herbie
Rules
120×sub-neg
102×associate-*l*
86×*-commutative
82×associate-*r*
82×distribute-lft-in
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
041101
19498
219598
337398
443098
549398
657598
761698
867298
969498
1069498
01916
13216
24616
35016
05015
Stop Event
1×iter limit
1×saturated
1×saturated
Calls
Call 1
Inputs
(+ (* (* (/ 1 6) (pow (* -2 (log u1)) 1/2)) (cos (* (* 2 (PI)) u2))) 1/2)
Outputs
(+ (* (* (/ 1 6) (pow (* -2 (log u1)) 1/2)) (cos (* (* 2 (PI)) u2))) 1/2)
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))))))
Call 2
Inputs
(+ (* (* (/ 1 6) (pow (* -2 (log u1)) 1/2)) (cos (* (* 2 (PI)) u2))) 1/2)
(+ (* (* (/ 1 6) (pow (* -2 (log (neg u1))) 1/2)) (cos (* (* 2 (PI)) u2))) 1/2)
(+ (* (* (/ 1 6) (pow (* -2 (log u1)) 1/2)) (cos (* (* 2 (PI)) (neg u2)))) 1/2)
(neg (+ (* (* (/ 1 6) (pow (* -2 (log (neg u1))) 1/2)) (cos (* (* 2 (PI)) u2))) 1/2))
(neg (+ (* (* (/ 1 6) (pow (* -2 (log u1)) 1/2)) (cos (* (* 2 (PI)) (neg u2)))) 1/2))
(+ (* (* (/ 1 6) (pow (* -2 (log u2)) 1/2)) (cos (* (* 2 (PI)) u1))) 1/2)
Outputs
(+ (* (* (/ 1 6) (pow (* -2 (log u1)) 1/2)) (cos (* (* 2 (PI)) u2))) 1/2)
(+ 1/2 (* (sqrt (* -2 (log u1))) (* 1/6 (cos (* 2 (* (PI) u2))))))
(+ (* (* (/ 1 6) (pow (* -2 (log (neg u1))) 1/2)) (cos (* (* 2 (PI)) u2))) 1/2)
(+ 1/2 (* (sqrt (* -2 (log (neg u1)))) (* 1/6 (cos (* 2 (* (PI) u2))))))
(+ (* (* (/ 1 6) (pow (* -2 (log u1)) 1/2)) (cos (* (* 2 (PI)) (neg u2)))) 1/2)
(+ 1/2 (* (sqrt (* -2 (log u1))) (* 1/6 (cos (* 2 (* (PI) u2))))))
(neg (+ (* (* (/ 1 6) (pow (* -2 (log (neg u1))) 1/2)) (cos (* (* 2 (PI)) u2))) 1/2))
(+ -1/2 (* (sqrt (* -2 (log (neg u1)))) (* (cos (* 2 (* (PI) u2))) -1/6)))
(neg (+ (* (* (/ 1 6) (pow (* -2 (log u1)) 1/2)) (cos (* (* 2 (PI)) (neg u2)))) 1/2))
(+ (* (sqrt (* -2 (log u1))) (* (cos (* 2 (* (PI) u2))) -1/6)) -1/2)
(+ (* (* (/ 1 6) (pow (* -2 (log u2)) 1/2)) (cos (* (* 2 (PI)) u1))) 1/2)
(+ 1/2 (* 1/6 (* (sqrt (* -2 (log u2))) (cos (* u1 (* 2 (PI)))))))
Symmetry

(abs u2)

explain184.0ms (1.4%)

Memory
-9.6MiB live, 279.7MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
00-0-(cos.f64 (*.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) u2))
00-0-(*.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) u2)
00-0-#s(literal 1 binary64)
00-0-(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/2 binary64)))
00-0-u1
00-0-(+.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/2 binary64))) (cos.f64 (*.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) u2))) #s(literal 1/2 binary64))
00-0-#s(literal 1/2 binary64)
00-0-(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/2 binary64))) (cos.f64 (*.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) u2)))
00-0-(PI.f64)
00-0-u2
00-0-(*.f64 #s(literal -2 binary64) (log.f64 u1))
00-0-#s(literal 6 binary64)
00-0-(/.f64 #s(literal 1 binary64) #s(literal 6 binary64))
00-0-#s(literal 2 binary64)
00-0-#s(literal -2 binary64)
00-0-(log.f64 u1)
00-0-(*.f64 #s(literal 2 binary64) (PI.f64))
00-0-(pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/2 binary64))
Confusion
Predicted +Predicted -
+00
-0256
Precision
0/0
Recall
0/0
Confusion?
Predicted +Predicted MaybePredicted -
+000
-00256
Precision?
0/0
Recall?
0/0
Freqs
test
numberfreq
0256
Total Confusion?
Predicted +Predicted MaybePredicted -
+000
-001
Precision?
0/0
Recall?
0/0
Samples
64.0ms512×0valid
Compiler

Compiled 212 to 76 computations (64.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 43.0ms
ival-mult: 14.0ms (32.3% of total)
ival-div: 9.0ms (20.7% of total)
ival-log: 7.0ms (16.1% of total)
ival-cos: 4.0ms (9.2% of total)
ival-sqrt: 3.0ms (6.9% of total)
ival-pi: 2.0ms (4.6% of total)
ival-add: 2.0ms (4.6% of total)
exact: 1.0ms (2.3% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

eval0.0ms (0%)

Memory
0.3MiB live, 0.3MiB allocated
Compiler

Compiled 2 to 2 computations (0% saved)

prune1.0ms (0%)

Memory
1.0MiB live, 1.0MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶99.4%
(+.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/2 binary64))) (cos.f64 (*.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) u2))) #s(literal 1/2 binary64))
Compiler

Compiled 21 to 18 computations (14.3% saved)

simplify5.0ms (0%)

Memory
4.4MiB live, 4.4MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/2 binary64))) (cos.f64 (*.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) u2)))
✓cost-diff0
(+.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/2 binary64))) (cos.f64 (*.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) u2))) #s(literal 1/2 binary64))
✓cost-diff64
(pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/2 binary64))
✓cost-diff128
(/.f64 #s(literal 1 binary64) #s(literal 6 binary64))
Rules
52×*-lowering-*.f32
52×*-lowering-*.f64
22×*-commutative
12×associate-*r*
12×accelerator-lowering-fma.f32
Iterations

Useful iterations: 0 (0.0ms)

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

localize57.0ms (0.4%)

Memory
23.1MiB live, 61.3MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
✓accuracy99.9%
(+.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/2 binary64))) (cos.f64 (*.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) u2))) #s(literal 1/2 binary64))
✓accuracy99.7%
(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
38.0ms256×0valid
Compiler

Compiled 85 to 20 computations (76.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 19.0ms
ival-mult: 7.0ms (37.1% of total)
ival-log: 3.0ms (15.9% of total)
ival-div: 2.0ms (10.6% of total)
ival-cos: 2.0ms (10.6% of total)
ival-sqrt: 2.0ms (10.6% of total)
ival-pi: 1.0ms (5.3% of total)
ival-add: 1.0ms (5.3% of total)
exact: 1.0ms (5.3% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series86.0ms (0.6%)

Memory
2.9MiB live, 113.6MiB allocated
Counts
6 → 84
Calls
Call 1
Inputs
#<alt (/ 1 6)>
#<alt (pow (* -2 (log u1)) 1/2)>
#<alt (+ (* (* (/ 1 6) (pow (* -2 (log u1)) 1/2)) (cos (* (* 2 (PI)) u2))) 1/2)>
#<alt (* (* (/ 1 6) (pow (* -2 (log u1)) 1/2)) (cos (* (* 2 (PI)) u2)))>
#<alt (* (/ 1 6) (pow (* -2 (log u1)) 1/2))>
#<alt (* (* 2 (PI)) u2)>
Outputs
#<alt (* (sqrt (log u1)) (sqrt -2))>
#<alt (* (sqrt (log u1)) (sqrt -2))>
#<alt (* (sqrt (log u1)) (sqrt -2))>
#<alt (* (sqrt (log u1)) (sqrt -2))>
#<alt (* (sqrt (log (/ 1 u1))) (sqrt 2))>
#<alt (* (sqrt (log (/ 1 u1))) (sqrt 2))>
#<alt (* (sqrt (log (/ 1 u1))) (sqrt 2))>
#<alt (* (sqrt (log (/ 1 u1))) (sqrt 2))>
#<alt (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))>
#<alt (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))>
#<alt (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))>
#<alt (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))>
#<alt (+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))))>
#<alt (+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))))>
#<alt (+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))))>
#<alt (+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))))>
#<alt (+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -2) (sqrt -1))) (sqrt (log (/ 1 u1))))))>
#<alt (+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -2) (sqrt -1))) (sqrt (log (/ 1 u1))))))>
#<alt (+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -2) (sqrt -1))) (sqrt (log (/ 1 u1))))))>
#<alt (+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -2) (sqrt -1))) (sqrt (log (/ 1 u1))))))>
#<alt (+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))))>
#<alt (+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))))>
#<alt (+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))))>
#<alt (+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))))>
#<alt (+ 1/2 (* 1/6 (* (sqrt (log u1)) (sqrt -2))))>
#<alt (+ 1/2 (+ (* -1/3 (* (* (pow u2 2) (* (pow (PI) 2) (sqrt -2))) (sqrt (log u1)))) (* 1/6 (* (sqrt (log u1)) (sqrt -2)))))>
#<alt (+ 1/2 (+ (* 1/6 (* (sqrt (log u1)) (sqrt -2))) (* (pow u2 2) (+ (* -1/3 (* (* (pow (PI) 2) (sqrt -2)) (sqrt (log u1)))) (* 1/9 (* (* (pow u2 2) (* (pow (PI) 4) (sqrt -2))) (sqrt (log u1))))))))>
#<alt (+ 1/2 (+ (* 1/6 (* (sqrt (log u1)) (sqrt -2))) (* (pow u2 2) (+ (* -1/3 (* (* (pow (PI) 2) (sqrt -2)) (sqrt (log u1)))) (* (pow u2 2) (+ (* -2/135 (* (* (pow u2 2) (* (pow (PI) 6) (sqrt -2))) (sqrt (log u1)))) (* 1/9 (* (* (pow (PI) 4) (sqrt -2)) (sqrt (log u1))))))))))>
#<alt (+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))))>
#<alt (+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))))>
#<alt (+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))))>
#<alt (+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))))>
#<alt (+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))))>
#<alt (+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))))>
#<alt (+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))))>
#<alt (+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))))>
#<alt (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1))))>
#<alt (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1))))>
#<alt (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1))))>
#<alt (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1))))>
#<alt (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -2) (sqrt -1))) (sqrt (log (/ 1 u1)))))>
#<alt (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -2) (sqrt -1))) (sqrt (log (/ 1 u1)))))>
#<alt (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -2) (sqrt -1))) (sqrt (log (/ 1 u1)))))>
#<alt (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -2) (sqrt -1))) (sqrt (log (/ 1 u1)))))>
#<alt (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))))>
#<alt (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))))>
#<alt (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))))>
#<alt (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))))>
#<alt (* 1/6 (* (sqrt (log u1)) (sqrt -2)))>
#<alt (+ (* -1/3 (* (* (pow u2 2) (* (pow (PI) 2) (sqrt -2))) (sqrt (log u1)))) (* 1/6 (* (sqrt (log u1)) (sqrt -2))))>
#<alt (+ (* 1/6 (* (sqrt (log u1)) (sqrt -2))) (* (pow u2 2) (+ (* -1/3 (* (* (pow (PI) 2) (sqrt -2)) (sqrt (log u1)))) (* 1/9 (* (* (pow u2 2) (* (pow (PI) 4) (sqrt -2))) (sqrt (log u1)))))))>
#<alt (+ (* 1/6 (* (sqrt (log u1)) (sqrt -2))) (* (pow u2 2) (+ (* -1/3 (* (* (pow (PI) 2) (sqrt -2)) (sqrt (log u1)))) (* (pow u2 2) (+ (* -2/135 (* (* (pow u2 2) (* (pow (PI) 6) (sqrt -2))) (sqrt (log u1)))) (* 1/9 (* (* (pow (PI) 4) (sqrt -2)) (sqrt (log u1)))))))))>
#<alt (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1))))>
#<alt (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1))))>
#<alt (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1))))>
#<alt (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1))))>
#<alt (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1))))>
#<alt (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1))))>
#<alt (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1))))>
#<alt (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1))))>
#<alt (* 1/6 (* (sqrt (log u1)) (sqrt -2)))>
#<alt (* 1/6 (* (sqrt (log u1)) (sqrt -2)))>
#<alt (* 1/6 (* (sqrt (log u1)) (sqrt -2)))>
#<alt (* 1/6 (* (sqrt (log u1)) (sqrt -2)))>
#<alt (* 1/6 (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1))))>
#<alt (* 1/6 (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1))))>
#<alt (* 1/6 (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1))))>
#<alt (* 1/6 (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1))))>
#<alt (* 1/6 (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))))>
#<alt (* 1/6 (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))))>
#<alt (* 1/6 (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))))>
#<alt (* 1/6 (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))))>
#<alt (* 2 (* u2 (PI)))>
#<alt (* 2 (* u2 (PI)))>
#<alt (* 2 (* u2 (PI)))>
#<alt (* 2 (* u2 (PI)))>
#<alt (* 2 (* u2 (PI)))>
#<alt (* 2 (* u2 (PI)))>
#<alt (* 2 (* u2 (PI)))>
#<alt (* 2 (* u2 (PI)))>
#<alt (* 2 (* u2 (PI)))>
#<alt (* 2 (* u2 (PI)))>
#<alt (* 2 (* u2 (PI)))>
#<alt (* 2 (* u2 (PI)))>
Calls

21 calls:

TimeVariablePointExpression
26.0ms
u1
@0
(pow (* -2 (log u1)) 1/2)
20.0ms
u2
@inf
(+ (* (* (/ 1 6) (pow (* -2 (log u1)) 1/2)) (cos (* (* 2 (PI)) u2))) 1/2)
19.0ms
u1
@-inf
(pow (* -2 (log u1)) 1/2)
10.0ms
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)

rewrite193.0ms (1.4%)

Memory
-5.5MiB live, 273.3MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
2 664×accelerator-lowering-fma.f32
2 664×accelerator-lowering-fma.f64
2 636×*-lowering-*.f32
2 636×*-lowering-*.f64
550×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01948
17048
236148
0283647
Stop Event
1×iter limit
1×iter limit
1×node limit
Counts
6 → 176
Calls
Call 1
Inputs
(/ 1 6)
(pow (* -2 (log u1)) 1/2)
(+ (* (* (/ 1 6) (pow (* -2 (log u1)) 1/2)) (cos (* (* 2 (PI)) u2))) 1/2)
(* (* (/ 1 6) (pow (* -2 (log u1)) 1/2)) (cos (* (* 2 (PI)) u2)))
(* (/ 1 6) (pow (* -2 (log u1)) 1/2))
(* (* 2 (PI)) u2)
Outputs
#s(literal 1/6 binary64)
(exp.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)))))
(exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/4 binary64))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 2 binary64))) #s(literal 1/4 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal 1/4 binary64)) #s(literal 2 binary64)))
(exp.f64 (+.f64 (*.f64 (log.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal 1/4 binary64)) (*.f64 (log.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal 1/4 binary64))))
(sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)))
(pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 2 binary64)) #s(literal 1/4 binary64))
(pow.f64 (exp.f64 #s(literal 1/2 binary64)) (log.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))))
(*.f64 (sqrt.f64 #s(literal -2 binary64)) (sqrt.f64 (log.f64 u1)))
(*.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 #s(literal -2 binary64)))
(*.f64 (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/4 binary64)) (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 #s(literal -2 binary64) #s(literal 1/4 binary64)) (*.f64 (pow.f64 #s(literal -2 binary64) #s(literal 1/4 binary64)) (sqrt.f64 (log.f64 u1))))
(*.f64 (pow.f64 #s(literal -2 binary64) #s(literal 1/4 binary64)) (*.f64 (pow.f64 (log.f64 u1) #s(literal 1/4 binary64)) (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/4 binary64))))
(*.f64 (pow.f64 (log.f64 u1) #s(literal 1/4 binary64)) (*.f64 (pow.f64 (log.f64 u1) #s(literal 1/4 binary64)) (sqrt.f64 #s(literal -2 binary64))))
(*.f64 (pow.f64 (log.f64 u1) #s(literal 1/4 binary64)) (*.f64 (pow.f64 #s(literal -2 binary64) #s(literal 1/4 binary64)) (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/4 binary64))))
(*.f64 (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/8 binary64)) (*.f64 (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/8 binary64)) (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/4 binary64))))
(*.f64 (pow.f64 (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/4 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/4 binary64)) #s(literal 1 binary64)))
(*.f64 (*.f64 (sqrt.f64 #s(literal -2 binary64)) (pow.f64 (log.f64 u1) #s(literal 1/4 binary64))) (pow.f64 (log.f64 u1) #s(literal 1/4 binary64)))
(*.f64 (*.f64 (sqrt.f64 (log.f64 u1)) (pow.f64 #s(literal -2 binary64) #s(literal 1/4 binary64))) (pow.f64 #s(literal -2 binary64) #s(literal 1/4 binary64)))
(*.f64 (*.f64 (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/4 binary64)) (pow.f64 #s(literal -2 binary64) #s(literal 1/4 binary64))) (pow.f64 (log.f64 u1) #s(literal 1/4 binary64)))
(*.f64 (*.f64 (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/4 binary64)) (pow.f64 (log.f64 u1) #s(literal 1/4 binary64))) (pow.f64 #s(literal -2 binary64) #s(literal 1/4 binary64)))
(*.f64 (*.f64 (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/4 binary64)) (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/8 binary64))) (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/8 binary64)))
(+.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))))))
(+.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))))) #s(literal 1/2 binary64))
(+.f64 (/.f64 (pow.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))))) #s(literal 2 binary64)) (+.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))))) #s(literal -1/2 binary64))) (neg.f64 (/.f64 #s(literal 1/4 binary64) (+.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))))) #s(literal -1/2 binary64)))))
(-.f64 (/.f64 (pow.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))))) #s(literal 2 binary64)) (+.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))))) #s(literal -1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (+.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))))) #s(literal -1/2 binary64))))
(-.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))))))) (/.f64 (pow.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))))) #s(literal 2 binary64)) (-.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))))))))
(fma.f64 #s(literal 1/6 binary64) (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))) #s(literal 1/2 binary64))
(fma.f64 #s(literal 1/6 binary64) (/.f64 (*.f64 (pow.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))) #s(literal 2 binary64)) #s(literal 1/6 binary64)) (+.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))))) #s(literal -1/2 binary64))) (neg.f64 (/.f64 #s(literal 1/4 binary64) (+.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))))) #s(literal -1/2 binary64)))))
(fma.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))) #s(literal 1/2 binary64))
(fma.f64 (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)))) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))) #s(literal 1/2 binary64))
(fma.f64 (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)))) (/.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))))))) (+.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))))) #s(literal -1/2 binary64))) (neg.f64 (/.f64 #s(literal 1/4 binary64) (+.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))))) #s(literal -1/2 binary64)))))
(fma.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)))) #s(literal 1/2 binary64))
(fma.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))) (/.f64 (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))) (pow.f64 (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)))) #s(literal 2 binary64))) (+.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))))) #s(literal -1/2 binary64))) (neg.f64 (/.f64 #s(literal 1/4 binary64) (+.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))))) #s(literal -1/2 binary64)))))
(fma.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))))) (/.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))))) (+.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))))) #s(literal -1/2 binary64))) (neg.f64 (/.f64 #s(literal 1/4 binary64) (+.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))))) #s(literal -1/2 binary64)))))
(fma.f64 (sqrt.f64 #s(literal -2 binary64)) (*.f64 (sqrt.f64 (log.f64 u1)) (*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))))) #s(literal 1/2 binary64))
(fma.f64 (sqrt.f64 #s(literal -2 binary64)) (*.f64 (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (log.f64 u1))) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))) #s(literal 1/2 binary64))
(fma.f64 (sqrt.f64 #s(literal -2 binary64)) (*.f64 (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))) (sqrt.f64 (log.f64 u1))) #s(literal 1/6 binary64)) #s(literal 1/2 binary64))
(fma.f64 (sqrt.f64 (log.f64 u1)) (*.f64 (sqrt.f64 #s(literal -2 binary64)) (*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))))) #s(literal 1/2 binary64))
(fma.f64 (pow.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))))) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))))) #s(literal -1/2 binary64))) (neg.f64 (/.f64 #s(literal 1/4 binary64) (+.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))))) #s(literal -1/2 binary64)))))
(fma.f64 (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/4 binary64)) (*.f64 (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/4 binary64)) (*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))))) #s(literal 1/2 binary64))
(fma.f64 (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/4 binary64)) (*.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/4 binary64))) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))) #s(literal 1/2 binary64))
(fma.f64 (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/4 binary64)) (*.f64 (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))) (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/4 binary64))) #s(literal 1/6 binary64)) #s(literal 1/2 binary64))
(fma.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))) #s(literal 1/6 binary64) #s(literal 1/2 binary64))
(fma.f64 #s(literal 1/36 binary64) (/.f64 (pow.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))) #s(literal 2 binary64)) (+.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))))) #s(literal -1/2 binary64))) (neg.f64 (/.f64 #s(literal 1/4 binary64) (+.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))))) #s(literal -1/2 binary64)))))
(fma.f64 (pow.f64 (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)))) #s(literal 2 binary64)) (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))))) (+.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))))) #s(literal -1/2 binary64))) (neg.f64 (/.f64 #s(literal 1/4 binary64) (+.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))))) #s(literal -1/2 binary64)))))
(fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))))) (/.f64 (pow.f64 (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)))) #s(literal 2 binary64)) (+.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))))) #s(literal -1/2 binary64))) (neg.f64 (/.f64 #s(literal 1/4 binary64) (+.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))))) #s(literal -1/2 binary64)))))
(fma.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))) #s(literal 1/36 binary64)) (/.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))) (+.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))))) #s(literal -1/2 binary64))) (neg.f64 (/.f64 #s(literal 1/4 binary64) (+.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))))) #s(literal -1/2 binary64)))))
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(*.f64 (*.f64 (PI.f64) u2) #s(literal 2 binary64))
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(*.f64 (*.f64 (*.f64 #s(literal 2 binary64) u2) #s(literal 1 binary64)) (PI.f64))
(*.f64 (*.f64 (*.f64 #s(literal 2 binary64) u2) (cbrt.f64 (PI.f64))) (pow.f64 (PI.f64) #s(literal 2/3 binary64)))
(*.f64 (*.f64 (*.f64 #s(literal 2 binary64) u2) (pow.f64 (PI.f64) #s(literal 2/3 binary64))) (cbrt.f64 (PI.f64)))
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simplify1.6s (11.9%)

Memory
-16.5MiB live, 1 364.6MiB allocated
Algorithm
1×egg-herbie
Rules
43 450×accelerator-lowering-fma.f32
43 450×accelerator-lowering-fma.f64
7 804×+-lowering-+.f64
7 804×+-lowering-+.f32
5 834×*-lowering-*.f32
Iterations

Useful iterations: 0 (0.0ms)

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

eval116.0ms (0.9%)

Memory
18.1MiB live, 56.2MiB allocated
Compiler

Compiled 7 807 to 701 computations (91% saved)

prune46.0ms (0.3%)

Memory
-15.1MiB live, 102.3MiB 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
▶99.4%
(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))
99.2%
(fma.f64 #s(literal 1/36 binary64) (/.f64 (pow.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))) #s(literal 2 binary64)) (+.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))))) #s(literal -1/2 binary64))) (neg.f64 (/.f64 #s(literal 1/4 binary64) (+.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))))) #s(literal -1/2 binary64)))))
99.3%
(/.f64 (-.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))))) #s(literal 2 binary64))) (-.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))))))
99.1%
(/.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 (+.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))))) #s(literal -1/2 binary64)) (+.f64 (pow.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))))) #s(literal 2 binary64)) #s(literal 1/4 binary64))))
99.2%
(/.f64 (+.f64 (pow.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))))) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))))) (+.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))))) #s(literal -1/2 binary64)))))
99.0%
(/.f64 (*.f64 (+.f64 (pow.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))))) #s(literal 4 binary64)) #s(literal -1/16 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))))) #s(literal -1/2 binary64)))) (+.f64 (pow.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))))) #s(literal 2 binary64)) #s(literal 1/4 binary64)))
99.3%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))))))))
▶99.2%
(-.f64 (/.f64 (pow.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))))) #s(literal 2 binary64)) (+.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))))) #s(literal -1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (+.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))))) #s(literal -1/2 binary64))))
▶99.1%
(+.f64 (*.f64 (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/4 binary64)) (*.f64 (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/4 binary64)) (*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))))) #s(literal 1/2 binary64))
99.1%
(+.f64 (*.f64 (*.f64 (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/8 binary64)) (*.f64 (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/8 binary64)) (*.f64 #s(literal 1/6 binary64) (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/4 binary64))))) (cos.f64 (*.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) u2))) #s(literal 1/2 binary64))
99.2%
(+.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))
98.8%
(+.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (log.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))))) (cos.f64 (*.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) u2))) #s(literal 1/2 binary64))
99.0%
(+.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) (*.f64 (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/8 binary64)) (*.f64 (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/8 binary64)) (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/4 binary64))))) (cos.f64 (*.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) u2))) #s(literal 1/2 binary64))
▶99.1%
(+.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) (*.f64 (sqrt.f64 (log.f64 (/.f64 #s(literal 1 binary64) u1))) (sqrt.f64 #s(literal 2 binary64)))) (cos.f64 (*.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) u2))) #s(literal 1/2 binary64))
99.0%
(+.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) (exp.f64 (*.f64 (log.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))
99.0%
(+.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) (exp.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)))))) (cos.f64 (*.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) u2))) #s(literal 1/2 binary64))
99.4%
(+.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))) #s(literal 1/6 binary64)) #s(literal 1/2 binary64))
▶0.0%
(+.f64 (*.f64 (sqrt.f64 (log.f64 u1)) (*.f64 (sqrt.f64 #s(literal -2 binary64)) #s(literal 1/6 binary64))) #s(literal 1/2 binary64))
Compiler

Compiled 1 186 to 730 computations (38.4% saved)

simplify280.0ms (2.1%)

Memory
14.1MiB live, 414.9MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(*.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)))))
✓cost-diff0
(/.f64 (pow.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))))) #s(literal 2 binary64)) (+.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))))) #s(literal -1/2 binary64)))
✓cost-diff0
(-.f64 (/.f64 (pow.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))))) #s(literal 2 binary64)) (+.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))))) #s(literal -1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (+.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))))) #s(literal -1/2 binary64))))
✓cost-diff6208
(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))
✓cost-diff0
(*.f64 #s(literal -2 binary64) (log.f64 u1))
✓cost-diff0
(pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/4 binary64))
✓cost-diff0
(+.f64 (*.f64 (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/4 binary64)) (*.f64 (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/4 binary64)) (*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))))) #s(literal 1/2 binary64))
✓cost-diff13184
(*.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))))))
✓cost-diff0
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) (*.f64 (sqrt.f64 (log.f64 (/.f64 #s(literal 1 binary64) u1))) (sqrt.f64 #s(literal 2 binary64))))
✓cost-diff0
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) (*.f64 (sqrt.f64 (log.f64 (/.f64 #s(literal 1 binary64) u1))) (sqrt.f64 #s(literal 2 binary64)))) (cos.f64 (*.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) u2)))
✓cost-diff0
(+.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) (*.f64 (sqrt.f64 (log.f64 (/.f64 #s(literal 1 binary64) u1))) (sqrt.f64 #s(literal 2 binary64)))) (cos.f64 (*.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) u2))) #s(literal 1/2 binary64))
✓cost-diff128
(/.f64 #s(literal 1 binary64) #s(literal 6 binary64))
✓cost-diff0
(log.f64 u1)
✓cost-diff0
(sqrt.f64 (log.f64 u1))
✓cost-diff0
(*.f64 (sqrt.f64 (log.f64 u1)) (*.f64 (sqrt.f64 #s(literal -2 binary64)) #s(literal 1/6 binary64)))
✓cost-diff0
(+.f64 (*.f64 (sqrt.f64 (log.f64 u1)) (*.f64 (sqrt.f64 #s(literal -2 binary64)) #s(literal 1/6 binary64))) #s(literal 1/2 binary64))
✓cost-diff0
(*.f64 #s(literal -2 binary64) (log.f64 u1))
✓cost-diff0
(sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)))
✓cost-diff0
(*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))))
✓cost-diff6272
(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))
Rules
6 454×*-lowering-*.f32
6 454×*-lowering-*.f64
3 996×accelerator-lowering-fma.f32
3 996×accelerator-lowering-fma.f64
2 474×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
048470
193456
2191454
3405454
41180454
52697454
63823454
76133454
08078445
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(+ (* (* (sqrt (* -2 (log u1))) (cos (* 2 (* (PI) u2)))) 1/6) 1/2)
(* (sqrt (* -2 (log u1))) (cos (* 2 (* (PI) u2))))
(sqrt (* -2 (log u1)))
(* -2 (log u1))
-2
(log u1)
u1
(cos (* 2 (* (PI) u2)))
(* 2 (* (PI) u2))
2
(* (PI) u2)
(PI)
u2
1/6
1/2
(+ (* (sqrt (log u1)) (* (sqrt -2) 1/6)) 1/2)
(* (sqrt (log u1)) (* (sqrt -2) 1/6))
(sqrt (log u1))
(log u1)
u1
(* (sqrt -2) 1/6)
(sqrt -2)
-2
1/6
1/2
(+ (* (* (/ 1 6) (* (sqrt (log (/ 1 u1))) (sqrt 2))) (cos (* (* 2 (PI)) u2))) 1/2)
(* (* (/ 1 6) (* (sqrt (log (/ 1 u1))) (sqrt 2))) (cos (* (* 2 (PI)) u2)))
(* (/ 1 6) (* (sqrt (log (/ 1 u1))) (sqrt 2)))
(/ 1 6)
1
6
(* (sqrt (log (/ 1 u1))) (sqrt 2))
(sqrt (log (/ 1 u1)))
(log (/ 1 u1))
(/ 1 u1)
u1
(sqrt 2)
2
(cos (* (* 2 (PI)) u2))
(* (* 2 (PI)) u2)
(* 2 (PI))
(PI)
u2
1/2
(+ (* (pow (* -2 (log u1)) 1/4) (* (pow (* -2 (log u1)) 1/4) (* 1/6 (cos (* 2 (* (PI) u2)))))) 1/2)
(* (pow (* -2 (log u1)) 1/4) (* (pow (* -2 (log u1)) 1/4) (* 1/6 (cos (* 2 (* (PI) u2))))))
(pow (* -2 (log u1)) 1/4)
(* -2 (log u1))
-2
(log u1)
u1
1/4
(* (pow (* -2 (log u1)) 1/4) (* 1/6 (cos (* 2 (* (PI) u2)))))
(* 1/6 (cos (* 2 (* (PI) u2))))
1/6
(cos (* 2 (* (PI) u2)))
(* 2 (* (PI) u2))
2
(* (PI) u2)
(PI)
u2
1/2
(- (/ (pow (* (sqrt (* -2 (log u1))) (* 1/6 (cos (* 2 (* (PI) u2))))) 2) (+ (* (sqrt (* -2 (log u1))) (* 1/6 (cos (* 2 (* (PI) u2))))) -1/2)) (/ 1/4 (+ (* (sqrt (* -2 (log u1))) (* 1/6 (cos (* 2 (* (PI) u2))))) -1/2)))
(/ (pow (* (sqrt (* -2 (log u1))) (* 1/6 (cos (* 2 (* (PI) u2))))) 2) (+ (* (sqrt (* -2 (log u1))) (* 1/6 (cos (* 2 (* (PI) u2))))) -1/2))
(pow (* (sqrt (* -2 (log u1))) (* 1/6 (cos (* 2 (* (PI) u2))))) 2)
(* (sqrt (* -2 (log u1))) (* 1/6 (cos (* 2 (* (PI) u2)))))
(sqrt (* -2 (log u1)))
(* -2 (log u1))
-2
(log u1)
u1
(* 1/6 (cos (* 2 (* (PI) u2))))
1/6
(cos (* 2 (* (PI) u2)))
(* 2 (* (PI) u2))
2
(* (PI) u2)
(PI)
u2
(+ (* (sqrt (* -2 (log u1))) (* 1/6 (cos (* 2 (* (PI) u2))))) -1/2)
-1/2
(/ 1/4 (+ (* (sqrt (* -2 (log u1))) (* 1/6 (cos (* 2 (* (PI) u2))))) -1/2))
1/4
Outputs
(+ (* (* (sqrt (* -2 (log u1))) (cos (* 2 (* (PI) u2)))) 1/6) 1/2)
(+.f64 #s(literal 1/2 binary64) (*.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))))
(* (sqrt (* -2 (log u1))) (cos (* 2 (* (PI) u2))))
(*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))))
(sqrt (* -2 (log u1)))
(sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)))
(* -2 (log u1))
(*.f64 #s(literal -2 binary64) (log.f64 u1))
-2
#s(literal -2 binary64)
(log u1)
(log.f64 u1)
u1
(cos (* 2 (* (PI) u2)))
(cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))
(* 2 (* (PI) u2))
(*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))
2
#s(literal 2 binary64)
(* (PI) u2)
(*.f64 (PI.f64) u2)
(PI)
(PI.f64)
u2
1/6
#s(literal 1/6 binary64)
1/2
#s(literal 1/2 binary64)
(+ (* (sqrt (log u1)) (* (sqrt -2) 1/6)) 1/2)
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 #s(literal -2 binary64)))))
(* (sqrt (log u1)) (* (sqrt -2) 1/6))
(*.f64 #s(literal 1/6 binary64) (*.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 #s(literal -2 binary64))))
(sqrt (log u1))
(sqrt.f64 (log.f64 u1))
(log u1)
(log.f64 u1)
u1
(* (sqrt -2) 1/6)
(*.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -2 binary64)))
(sqrt -2)
(sqrt.f64 #s(literal -2 binary64))
-2
#s(literal -2 binary64)
1/6
#s(literal 1/6 binary64)
1/2
#s(literal 1/2 binary64)
(+ (* (* (/ 1 6) (* (sqrt (log (/ 1 u1))) (sqrt 2))) (cos (* (* 2 (PI)) u2))) 1/2)
(+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))) (*.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) (* (sqrt (log (/ 1 u1))) (sqrt 2))) (cos (* (* 2 (PI)) u2)))
(*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))) (*.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) (* (sqrt (log (/ 1 u1))) (sqrt 2)))
(*.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (log.f64 u1))) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal 2 binary64))))
(/ 1 6)
#s(literal 1/6 binary64)
1
#s(literal 1 binary64)
6
#s(literal 6 binary64)
(* (sqrt (log (/ 1 u1))) (sqrt 2))
(*.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (log.f64 u1))) (sqrt.f64 #s(literal 2 binary64)))
(sqrt (log (/ 1 u1)))
(sqrt.f64 (-.f64 #s(literal 0 binary64) (log.f64 u1)))
(log (/ 1 u1))
(-.f64 #s(literal 0 binary64) (log.f64 u1))
(/ 1 u1)
(/.f64 #s(literal 1 binary64) u1)
u1
(sqrt 2)
(sqrt.f64 #s(literal 2 binary64))
2
#s(literal 2 binary64)
(cos (* (* 2 (PI)) u2))
(cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))
(* (* 2 (PI)) u2)
(*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))
(* 2 (PI))
(*.f64 #s(literal 2 binary64) (PI.f64))
(PI)
(PI.f64)
u2
1/2
#s(literal 1/2 binary64)
(+ (* (pow (* -2 (log u1)) 1/4) (* (pow (* -2 (log u1)) 1/4) (* 1/6 (cos (* 2 (* (PI) u2)))))) 1/2)
(+.f64 #s(literal 1/2 binary64) (*.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))))
(* (pow (* -2 (log u1)) 1/4) (* (pow (* -2 (log u1)) 1/4) (* 1/6 (cos (* 2 (* (PI) u2))))))
(*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))) (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal 1/6 binary64)))
(pow (* -2 (log u1)) 1/4)
(pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/4 binary64))
(* -2 (log u1))
(*.f64 #s(literal -2 binary64) (log.f64 u1))
-2
#s(literal -2 binary64)
(log u1)
(log.f64 u1)
u1
1/4
#s(literal 1/4 binary64)
(* (pow (* -2 (log u1)) 1/4) (* 1/6 (cos (* 2 (* (PI) u2)))))
(*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))) (*.f64 #s(literal 1/6 binary64) (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/4 binary64))))
(* 1/6 (cos (* 2 (* (PI) u2))))
(*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))) #s(literal 1/6 binary64))
1/6
#s(literal 1/6 binary64)
(cos (* 2 (* (PI) u2)))
(cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))
(* 2 (* (PI) u2))
(*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))
2
#s(literal 2 binary64)
(* (PI) u2)
(*.f64 (PI.f64) u2)
(PI)
(PI.f64)
u2
1/2
#s(literal 1/2 binary64)
(- (/ (pow (* (sqrt (* -2 (log u1))) (* 1/6 (cos (* 2 (* (PI) u2))))) 2) (+ (* (sqrt (* -2 (log u1))) (* 1/6 (cos (* 2 (* (PI) u2))))) -1/2)) (/ 1/4 (+ (* (sqrt (* -2 (log u1))) (* 1/6 (cos (* 2 (* (PI) u2))))) -1/2)))
(-.f64 (/.f64 (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))) (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))) (*.f64 (log.f64 u1) #s(literal -1/18 binary64)))) (+.f64 (*.f64 (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))) (/.f64 #s(literal 1/4 binary64) (+.f64 (*.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))))
(/ (pow (* (sqrt (* -2 (log u1))) (* 1/6 (cos (* 2 (* (PI) u2))))) 2) (+ (* (sqrt (* -2 (log u1))) (* 1/6 (cos (* 2 (* (PI) u2))))) -1/2))
(/.f64 (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))) (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))) (*.f64 (log.f64 u1) #s(literal -1/18 binary64)))) (+.f64 (*.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)))
(pow (* (sqrt (* -2 (log u1))) (* 1/6 (cos (* 2 (* (PI) u2))))) 2)
(*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))) (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))) (*.f64 (log.f64 u1) #s(literal -1/18 binary64))))
(* (sqrt (* -2 (log u1))) (* 1/6 (cos (* 2 (* (PI) u2)))))
(*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))) (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal 1/6 binary64)))
(sqrt (* -2 (log u1)))
(sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)))
(* -2 (log u1))
(*.f64 #s(literal -2 binary64) (log.f64 u1))
-2
#s(literal -2 binary64)
(log u1)
(log.f64 u1)
u1
(* 1/6 (cos (* 2 (* (PI) u2))))
(*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))) #s(literal 1/6 binary64))
1/6
#s(literal 1/6 binary64)
(cos (* 2 (* (PI) u2)))
(cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))
(* 2 (* (PI) u2))
(*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))
2
#s(literal 2 binary64)
(* (PI) u2)
(*.f64 (PI.f64) u2)
(PI)
(PI.f64)
u2
(+ (* (sqrt (* -2 (log u1))) (* 1/6 (cos (* 2 (* (PI) u2))))) -1/2)
(+.f64 (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))) (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal 1/6 binary64))) #s(literal -1/2 binary64))
-1/2
#s(literal -1/2 binary64)
(/ 1/4 (+ (* (sqrt (* -2 (log u1))) (* 1/6 (cos (* 2 (* (PI) u2))))) -1/2))
(/.f64 #s(literal 1/4 binary64) (+.f64 (*.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)))
1/4
#s(literal 1/4 binary64)

localize219.0ms (1.6%)

Memory
-0.1MiB live, 267.7MiB 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%
(*.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%
(sqrt.f64 #s(literal 2 binary64))
✓accuracy100.0%
(log.f64 (/.f64 #s(literal 1 binary64) u1))
✓accuracy100.0%
(cos.f64 (*.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) u2))
✓accuracy3.1%
(PI.f64)
✓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 (*.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)
Samples
123.0ms256×0invalid
Compiler

Compiled 485 to 50 computations (89.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 74.0ms
ival-mult: 27.0ms (36.5% of total)
ival-div: 9.0ms (12.2% of total)
ival-sqrt: 8.0ms (10.8% of total)
ival-log: 7.0ms (9.5% of total)
ival-add: 6.0ms (8.1% of total)
ival-pow: 5.0ms (6.8% of total)
ival-cos: 4.0ms (5.4% of total)
const: 4.0ms (5.4% of total)
ival-pow2: 2.0ms (2.7% of total)
ival-pi: 1.0ms (1.4% of total)
ival-sub: 1.0ms (1.4% of total)
exact: 1.0ms (1.4% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series198.0ms (1.5%)

Memory
-5.0MiB live, 223.9MiB allocated
Counts
26 → 372
Calls
Call 1
Inputs
#<alt (+ (* (* (sqrt (* -2 (log u1))) (cos (* 2 (* (PI) u2)))) 1/6) 1/2)>
#<alt (* (sqrt (* -2 (log u1))) (cos (* 2 (* (PI) u2))))>
#<alt (sqrt (* -2 (log u1)))>
#<alt (* -2 (log u1))>
#<alt (+ (* (sqrt (log u1)) (* (sqrt -2) 1/6)) 1/2)>
#<alt (* (sqrt (log u1)) (* (sqrt -2) 1/6))>
#<alt (sqrt (log u1))>
#<alt (log u1)>
#<alt (/ 1 6)>
#<alt (+ (* (* (/ 1 6) (* (sqrt (log (/ 1 u1))) (sqrt 2))) (cos (* (* 2 (PI)) u2))) 1/2)>
#<alt (* (* (/ 1 6) (* (sqrt (log (/ 1 u1))) (sqrt 2))) (cos (* (* 2 (PI)) u2)))>
#<alt (* (/ 1 6) (* (sqrt (log (/ 1 u1))) (sqrt 2)))>
#<alt (* (pow (* -2 (log u1)) 1/4) (* (pow (* -2 (log u1)) 1/4) (* 1/6 (cos (* 2 (* (PI) u2))))))>
#<alt (+ (* (pow (* -2 (log u1)) 1/4) (* (pow (* -2 (log u1)) 1/4) (* 1/6 (cos (* 2 (* (PI) u2)))))) 1/2)>
#<alt (pow (* -2 (log u1)) 1/4)>
#<alt (pow (* (sqrt (* -2 (log u1))) (* 1/6 (cos (* 2 (* (PI) u2))))) 2)>
#<alt (- (/ (pow (* (sqrt (* -2 (log u1))) (* 1/6 (cos (* 2 (* (PI) u2))))) 2) (+ (* (sqrt (* -2 (log u1))) (* 1/6 (cos (* 2 (* (PI) u2))))) -1/2)) (/ 1/4 (+ (* (sqrt (* -2 (log u1))) (* 1/6 (cos (* 2 (* (PI) u2))))) -1/2)))>
#<alt (/ (pow (* (sqrt (* -2 (log u1))) (* 1/6 (cos (* 2 (* (PI) u2))))) 2) (+ (* (sqrt (* -2 (log u1))) (* 1/6 (cos (* 2 (* (PI) u2))))) -1/2))>
#<alt (* (sqrt (* -2 (log u1))) (* 1/6 (cos (* 2 (* (PI) u2)))))>
#<alt (PI)>
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Outputs
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#<alt (+ (* (sqrt (log u1)) (sqrt -2)) (* (pow u2 2) (+ (* -2 (* (* (pow (PI) 2) (sqrt -2)) (sqrt (log u1)))) (* (pow u2 2) (+ (* -4/45 (* (* (pow u2 2) (* (pow (PI) 6) (sqrt -2))) (sqrt (log u1)))) (* 2/3 (* (* (pow (PI) 4) (sqrt -2)) (sqrt (log u1)))))))))>
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#<alt (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))>
#<alt (log u1)>
#<alt (log u1)>
#<alt (log u1)>
#<alt (log u1)>
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#<alt (* -1 (log (/ 1 u1)))>
#<alt (* -1 (log (/ 1 u1)))>
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#<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)))))>
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#<alt (+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt 2)) (sqrt (+ (log -1) (log (/ -1 u1)))))))>
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#<alt (+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt 2)) (sqrt (+ (log -1) (log (/ -1 u1)))))))>
#<alt (+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt 2)) (sqrt (+ (log -1) (log (/ -1 u1)))))))>
#<alt (+ 1/2 (* 1/6 (* (sqrt (log (/ 1 u1))) (sqrt 2))))>
#<alt (+ 1/2 (+ (* -1/3 (* (* (pow u2 2) (* (pow (PI) 2) (sqrt 2))) (sqrt (log (/ 1 u1))))) (* 1/6 (* (sqrt (log (/ 1 u1))) (sqrt 2)))))>
#<alt (+ 1/2 (+ (* 1/6 (* (sqrt (log (/ 1 u1))) (sqrt 2))) (* (pow u2 2) (+ (* -1/3 (* (* (pow (PI) 2) (sqrt 2)) (sqrt (log (/ 1 u1))))) (* 1/9 (* (* (pow u2 2) (* (pow (PI) 4) (sqrt 2))) (sqrt (log (/ 1 u1)))))))))>
#<alt (+ 1/2 (+ (* 1/6 (* (sqrt (log (/ 1 u1))) (sqrt 2))) (* (pow u2 2) (+ (* -1/3 (* (* (pow (PI) 2) (sqrt 2)) (sqrt (log (/ 1 u1))))) (* (pow u2 2) (+ (* -2/135 (* (* (pow u2 2) (* (pow (PI) 6) (sqrt 2))) (sqrt (log (/ 1 u1))))) (* 1/9 (* (* (pow (PI) 4) (sqrt 2)) (sqrt (log (/ 1 u1)))))))))))>
#<alt (+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt 2)) (sqrt (log (/ 1 u1))))))>
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#<alt (+ (* 1/6 (* (sqrt (log (/ 1 u1))) (sqrt 2))) (* (pow u2 2) (+ (* -1/3 (* (* (pow (PI) 2) (sqrt 2)) (sqrt (log (/ 1 u1))))) (* (pow u2 2) (+ (* -2/135 (* (* (pow u2 2) (* (pow (PI) 6) (sqrt 2))) (sqrt (log (/ 1 u1))))) (* 1/9 (* (* (pow (PI) 4) (sqrt 2)) (sqrt (log (/ 1 u1))))))))))>
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#<alt (* -1/36 (/ (* (pow (cos (* 2 (* u2 (PI)))) 2) (* (log (/ 1 u1)) (pow (sqrt -2) 2))) (- (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -2) (sqrt -1))) (sqrt (log (/ 1 u1))))) 1/2)))>
#<alt (* 1/36 (/ (* (pow (cos (* 2 (* u2 (PI)))) 2) (* (pow (sqrt -2) 2) (+ (log -1) (* -1 (log (/ -1 u1)))))) (- (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))) 1/2)))>
#<alt (* 1/36 (/ (* (pow (cos (* 2 (* u2 (PI)))) 2) (* (pow (sqrt -2) 2) (+ (log -1) (* -1 (log (/ -1 u1)))))) (- (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))) 1/2)))>
#<alt (* 1/36 (/ (* (pow (cos (* 2 (* u2 (PI)))) 2) (* (pow (sqrt -2) 2) (+ (log -1) (* -1 (log (/ -1 u1)))))) (- (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))) 1/2)))>
#<alt (* 1/36 (/ (* (pow (cos (* 2 (* u2 (PI)))) 2) (* (pow (sqrt -2) 2) (+ (log -1) (* -1 (log (/ -1 u1)))))) (- (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))) 1/2)))>
#<alt (* 1/36 (/ (* (log u1) (pow (sqrt -2) 2)) (- (* 1/6 (* (sqrt (log u1)) (sqrt -2))) 1/2)))>
#<alt (+ (* 1/36 (* (pow u2 2) (- (* -4 (/ (* (pow (PI) 2) (* (log u1) (pow (sqrt -2) 2))) (- (* 1/6 (* (sqrt (log u1)) (sqrt -2))) 1/2))) (* -1/3 (* (/ (* (pow (PI) 2) (pow (sqrt -2) 3)) (pow (- (* 1/6 (* (sqrt (log u1)) (sqrt -2))) 1/2) 2)) (sqrt (pow (log u1) 3))))))) (* 1/36 (/ (* (log u1) (pow (sqrt -2) 2)) (- (* 1/6 (* (sqrt (log u1)) (sqrt -2))) 1/2))))>
#<alt (+ (* 1/36 (/ (* (log u1) (pow (sqrt -2) 2)) (- (* 1/6 (* (sqrt (log u1)) (sqrt -2))) 1/2))) (* (pow u2 2) (+ (* 1/36 (* (pow u2 2) (- (/ (* (log u1) (* (pow (sqrt -2) 2) (+ (* 4/3 (pow (PI) 4)) (* 4 (pow (PI) 4))))) (- (* 1/6 (* (sqrt (log u1)) (sqrt -2))) 1/2)) (+ (* -1/3 (* (/ (* (pow (PI) 2) (* (sqrt -2) (- (* -4 (/ (* (pow (PI) 2) (* (log u1) (pow (sqrt -2) 2))) (- (* 1/6 (* (sqrt (log u1)) (sqrt -2))) 1/2))) (* -1/3 (* (/ (* (pow (PI) 2) (pow (sqrt -2) 3)) (pow (- (* 1/6 (* (sqrt (log u1)) (sqrt -2))) 1/2) 2)) (sqrt (pow (log u1) 3))))))) (- (* 1/6 (* (sqrt (log u1)) (sqrt -2))) 1/2)) (sqrt (log u1)))) (* 1/9 (* (/ (* (pow (PI) 4) (pow (sqrt -2) 3)) (pow (- (* 1/6 (* (sqrt (log u1)) (sqrt -2))) 1/2) 2)) (sqrt (pow (log u1) 3)))))))) (* 1/36 (- (* -4 (/ (* (pow (PI) 2) (* (log u1) (pow (sqrt -2) 2))) (- (* 1/6 (* (sqrt (log u1)) (sqrt -2))) 1/2))) (* -1/3 (* (/ (* (pow (PI) 2) (pow (sqrt -2) 3)) (pow (- (* 1/6 (* (sqrt (log u1)) (sqrt -2))) 1/2) 2)) (sqrt (pow (log u1) 3)))))))))>
#<alt (+ (* 1/36 (/ (* (log u1) (pow (sqrt -2) 2)) (- (* 1/6 (* (sqrt (log u1)) (sqrt -2))) 1/2))) (* (pow u2 2) (+ (* 1/36 (- (* -4 (/ (* (pow (PI) 2) (* (log u1) (pow (sqrt -2) 2))) (- (* 1/6 (* (sqrt (log u1)) (sqrt -2))) 1/2))) (* -1/3 (* (/ (* (pow (PI) 2) (pow (sqrt -2) 3)) (pow (- (* 1/6 (* (sqrt (log u1)) (sqrt -2))) 1/2) 2)) (sqrt (pow (log u1) 3)))))) (* (pow u2 2) (+ (* 1/36 (* (pow u2 2) (- (/ (* (log u1) (* (pow (sqrt -2) 2) (+ (* -8/3 (pow (PI) 6)) (* -8/45 (pow (PI) 6))))) (- (* 1/6 (* (sqrt (log u1)) (sqrt -2))) 1/2)) (+ (* -1/3 (* (/ (* (pow (PI) 2) (* (sqrt -2) (- (/ (* (log u1) (* (pow (sqrt -2) 2) (+ (* 4/3 (pow (PI) 4)) (* 4 (pow (PI) 4))))) (- (* 1/6 (* (sqrt (log u1)) (sqrt -2))) 1/2)) (+ (* -1/3 (* (/ (* (pow (PI) 2) (* (sqrt -2) (- (* -4 (/ (* (pow (PI) 2) (* (log u1) (pow (sqrt -2) 2))) (- (* 1/6 (* (sqrt (log u1)) (sqrt -2))) 1/2))) (* -1/3 (* (/ (* (pow (PI) 2) (pow (sqrt -2) 3)) (pow (- (* 1/6 (* (sqrt (log u1)) (sqrt -2))) 1/2) 2)) (sqrt (pow (log u1) 3))))))) (- (* 1/6 (* (sqrt (log u1)) (sqrt -2))) 1/2)) (sqrt (log u1)))) (* 1/9 (* (/ (* (pow (PI) 4) (pow (sqrt -2) 3)) (pow (- (* 1/6 (* (sqrt (log u1)) (sqrt -2))) 1/2) 2)) (sqrt (pow (log u1) 3)))))))) (- (* 1/6 (* (sqrt (log u1)) (sqrt -2))) 1/2)) (sqrt (log u1)))) (+ (* -2/135 (* (/ (* (pow (PI) 6) (pow (sqrt -2) 3)) (pow (- (* 1/6 (* (sqrt (log u1)) (sqrt -2))) 1/2) 2)) (sqrt (pow (log u1) 3)))) (* 1/9 (* (/ (* (pow (PI) 4) (* (sqrt -2) (- (* -4 (/ (* (pow (PI) 2) (* (log u1) (pow (sqrt -2) 2))) (- (* 1/6 (* (sqrt (log u1)) (sqrt -2))) 1/2))) (* -1/3 (* (/ (* (pow (PI) 2) (pow (sqrt -2) 3)) (pow (- (* 1/6 (* (sqrt (log u1)) (sqrt -2))) 1/2) 2)) (sqrt (pow (log u1) 3))))))) (- (* 1/6 (* (sqrt (log u1)) (sqrt -2))) 1/2)) (sqrt (log u1))))))))) (* 1/36 (- (/ (* (log u1) (* (pow (sqrt -2) 2) (+ (* 4/3 (pow (PI) 4)) (* 4 (pow (PI) 4))))) (- (* 1/6 (* (sqrt (log u1)) (sqrt -2))) 1/2)) (+ (* -1/3 (* (/ (* (pow (PI) 2) (* (sqrt -2) (- (* -4 (/ (* (pow (PI) 2) (* (log u1) (pow (sqrt -2) 2))) (- (* 1/6 (* (sqrt (log u1)) (sqrt -2))) 1/2))) (* -1/3 (* (/ (* (pow (PI) 2) (pow (sqrt -2) 3)) (pow (- (* 1/6 (* (sqrt (log u1)) (sqrt -2))) 1/2) 2)) (sqrt (pow (log u1) 3))))))) (- (* 1/6 (* (sqrt (log u1)) (sqrt -2))) 1/2)) (sqrt (log u1)))) (* 1/9 (* (/ (* (pow (PI) 4) (pow (sqrt -2) 3)) (pow (- (* 1/6 (* (sqrt (log u1)) (sqrt -2))) 1/2) 2)) (sqrt (pow (log u1) 3))))))))))))>
#<alt (* 1/36 (/ (* (pow (cos (* 2 (* u2 (PI)))) 2) (* (log u1) (pow (sqrt -2) 2))) (- (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))) 1/2)))>
#<alt (* 1/36 (/ (* (pow (cos (* 2 (* u2 (PI)))) 2) (* (log u1) (pow (sqrt -2) 2))) (- (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))) 1/2)))>
#<alt (* 1/36 (/ (* (pow (cos (* 2 (* u2 (PI)))) 2) (* (log u1) (pow (sqrt -2) 2))) (- (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))) 1/2)))>
#<alt (* 1/36 (/ (* (pow (cos (* 2 (* u2 (PI)))) 2) (* (log u1) (pow (sqrt -2) 2))) (- (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))) 1/2)))>
#<alt (* 1/36 (/ (* (pow (cos (* 2 (* u2 (PI)))) 2) (* (log u1) (pow (sqrt -2) 2))) (- (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))) 1/2)))>
#<alt (* 1/36 (/ (* (pow (cos (* 2 (* u2 (PI)))) 2) (* (log u1) (pow (sqrt -2) 2))) (- (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))) 1/2)))>
#<alt (* 1/36 (/ (* (pow (cos (* 2 (* u2 (PI)))) 2) (* (log u1) (pow (sqrt -2) 2))) (- (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))) 1/2)))>
#<alt (* 1/36 (/ (* (pow (cos (* 2 (* u2 (PI)))) 2) (* (log u1) (pow (sqrt -2) 2))) (- (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))) 1/2)))>
#<alt (* 1/6 (* (* (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>
#<alt (+ 1 (* -2 (* (pow u2 2) (pow (PI) 2))))>
#<alt (+ 1 (* (pow u2 2) (+ (* -2 (pow (PI) 2)) (* 2/3 (* (pow u2 2) (pow (PI) 4))))))>
#<alt (+ 1 (* (pow u2 2) (+ (* -2 (pow (PI) 2)) (* (pow u2 2) (+ (* -4/45 (* (pow u2 2) (pow (PI) 6))) (* 2/3 (pow (PI) 4)))))))>
#<alt (cos (* 2 (* u2 (PI))))>
#<alt (cos (* 2 (* u2 (PI))))>
#<alt (cos (* 2 (* u2 (PI))))>
#<alt (cos (* 2 (* u2 (PI))))>
#<alt (cos (* 2 (* u2 (PI))))>
#<alt (cos (* 2 (* u2 (PI))))>
#<alt (cos (* 2 (* u2 (PI))))>
#<alt (cos (* 2 (* u2 (PI))))>
#<alt 1>
#<alt (+ 1 (* -2 (* (pow u2 2) (pow (PI) 2))))>
#<alt (+ 1 (* (pow u2 2) (+ (* -2 (pow (PI) 2)) (* 2/3 (* (pow u2 2) (pow (PI) 4))))))>
#<alt (+ 1 (* (pow u2 2) (+ (* -2 (pow (PI) 2)) (* (pow u2 2) (+ (* -4/45 (* (pow u2 2) (pow (PI) 6))) (* 2/3 (pow (PI) 4)))))))>
#<alt (cos (* 2 (* u2 (PI))))>
#<alt (cos (* 2 (* u2 (PI))))>
#<alt (cos (* 2 (* u2 (PI))))>
#<alt (cos (* 2 (* u2 (PI))))>
#<alt (cos (* 2 (* u2 (PI))))>
#<alt (cos (* 2 (* u2 (PI))))>
#<alt (cos (* 2 (* u2 (PI))))>
#<alt (cos (* 2 (* u2 (PI))))>
#<alt (* -1 (log u1))>
#<alt (* -1 (log u1))>
#<alt (* -1 (log u1))>
#<alt (* -1 (log u1))>
#<alt (log (/ 1 u1))>
#<alt (log (/ 1 u1))>
#<alt (log (/ 1 u1))>
#<alt (log (/ 1 u1))>
#<alt (+ (log -1) (log (/ -1 u1)))>
#<alt (+ (log -1) (log (/ -1 u1)))>
#<alt (+ (log -1) (log (/ -1 u1)))>
#<alt (+ (log -1) (log (/ -1 u1)))>
Calls

93 calls:

TimeVariablePointExpression
66.0ms
u2
@inf
(+ (* (* (/ 1 6) (* (sqrt (log (/ 1 u1))) (sqrt 2))) (cos (* (* 2 (PI)) u2))) 1/2)
34.0ms
u1
@0
(pow (* -2 (log u1)) 1/4)
19.0ms
u1
@-inf
(pow (* -2 (log u1)) 1/4)
15.0ms
u1
@inf
(pow (* -2 (log u1)) 1/4)
11.0ms
u1
@-inf
(+ (* (* (/ 1 6) (* (sqrt (log (/ 1 u1))) (sqrt 2))) (cos (* (* 2 (PI)) u2))) 1/2)

rewrite605.0ms (4.5%)

Memory
25.8MiB live, 938.8MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
4 850×*-lowering-*.f32
4 850×*-lowering-*.f64
4 028×accelerator-lowering-fma.f32
4 028×accelerator-lowering-fma.f64
3 650×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
048256
1240238
21700236
08180230
Stop Event
1×iter limit
1×node limit
Counts
26 → 1 065
Calls
Call 1
Inputs
(+ (* (* (sqrt (* -2 (log u1))) (cos (* 2 (* (PI) u2)))) 1/6) 1/2)
(* (sqrt (* -2 (log u1))) (cos (* 2 (* (PI) u2))))
(sqrt (* -2 (log u1)))
(* -2 (log u1))
(+ (* (sqrt (log u1)) (* (sqrt -2) 1/6)) 1/2)
(* (sqrt (log u1)) (* (sqrt -2) 1/6))
(sqrt (log u1))
(log u1)
(/ 1 6)
(+ (* (* (/ 1 6) (* (sqrt (log (/ 1 u1))) (sqrt 2))) (cos (* (* 2 (PI)) u2))) 1/2)
(* (* (/ 1 6) (* (sqrt (log (/ 1 u1))) (sqrt 2))) (cos (* (* 2 (PI)) u2)))
(* (/ 1 6) (* (sqrt (log (/ 1 u1))) (sqrt 2)))
(* (pow (* -2 (log u1)) 1/4) (* (pow (* -2 (log u1)) 1/4) (* 1/6 (cos (* 2 (* (PI) u2))))))
(+ (* (pow (* -2 (log u1)) 1/4) (* (pow (* -2 (log u1)) 1/4) (* 1/6 (cos (* 2 (* (PI) u2)))))) 1/2)
(pow (* -2 (log u1)) 1/4)
(pow (* (sqrt (* -2 (log u1))) (* 1/6 (cos (* 2 (* (PI) u2))))) 2)
(- (/ (pow (* (sqrt (* -2 (log u1))) (* 1/6 (cos (* 2 (* (PI) u2))))) 2) (+ (* (sqrt (* -2 (log u1))) (* 1/6 (cos (* 2 (* (PI) u2))))) -1/2)) (/ 1/4 (+ (* (sqrt (* -2 (log u1))) (* 1/6 (cos (* 2 (* (PI) u2))))) -1/2)))
(/ (pow (* (sqrt (* -2 (log u1))) (* 1/6 (cos (* 2 (* (PI) u2))))) 2) (+ (* (sqrt (* -2 (log u1))) (* 1/6 (cos (* 2 (* (PI) u2))))) -1/2))
(* (sqrt (* -2 (log u1))) (* 1/6 (cos (* 2 (* (PI) u2)))))
(PI)
(cos (* 2 (* (PI) u2)))
(sqrt -2)
(* (sqrt -2) 1/6)
(cos (* (* 2 (PI)) u2))
(log (/ 1 u1))
(sqrt 2)
Outputs
(+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))) (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal 1/6 binary64))))
(+.f64 (*.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))
(+.f64 (/.f64 (*.f64 (*.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #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 (PI.f64) u2))))))) (+.f64 (*.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))) (/.f64 #s(literal -1/4 binary64) (+.f64 (*.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))))
(+.f64 (/.f64 #s(literal -1/4 binary64) (+.f64 (*.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))) (/.f64 (*.f64 (*.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #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 (PI.f64) u2))))))) (+.f64 (*.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))))
(-.f64 (*.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))
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simplify674.0ms (5%)

Memory
-25.0MiB live, 1 179.9MiB allocated
Algorithm
1×egg-herbie
Rules
12 558×accelerator-lowering-fma.f32
12 558×accelerator-lowering-fma.f64
8 310×*-lowering-*.f32
8 310×*-lowering-*.f64
4 592×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03579126
110888528
241188404
082068067
Stop Event
1×iter limit
1×node limit
Counts
372 → 372
Calls
Call 1
Inputs
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1
(+ 1 (* -2 (* (pow u2 2) (pow (PI) 2))))
(+ 1 (* (pow u2 2) (+ (* -2 (pow (PI) 2)) (* 2/3 (* (pow u2 2) (pow (PI) 4))))))
(+ 1 (* (pow u2 2) (+ (* -2 (pow (PI) 2)) (* (pow u2 2) (+ (* -4/45 (* (pow u2 2) (pow (PI) 6))) (* 2/3 (pow (PI) 4)))))))
(cos (* 2 (* u2 (PI))))
(cos (* 2 (* u2 (PI))))
(cos (* 2 (* u2 (PI))))
(cos (* 2 (* u2 (PI))))
(cos (* 2 (* u2 (PI))))
(cos (* 2 (* u2 (PI))))
(cos (* 2 (* u2 (PI))))
(cos (* 2 (* u2 (PI))))
1
(+ 1 (* -2 (* (pow u2 2) (pow (PI) 2))))
(+ 1 (* (pow u2 2) (+ (* -2 (pow (PI) 2)) (* 2/3 (* (pow u2 2) (pow (PI) 4))))))
(+ 1 (* (pow u2 2) (+ (* -2 (pow (PI) 2)) (* (pow u2 2) (+ (* -4/45 (* (pow u2 2) (pow (PI) 6))) (* 2/3 (pow (PI) 4)))))))
(cos (* 2 (* u2 (PI))))
(cos (* 2 (* u2 (PI))))
(cos (* 2 (* u2 (PI))))
(cos (* 2 (* u2 (PI))))
(cos (* 2 (* u2 (PI))))
(cos (* 2 (* u2 (PI))))
(cos (* 2 (* u2 (PI))))
(cos (* 2 (* u2 (PI))))
(* -1 (log u1))
(* -1 (log u1))
(* -1 (log u1))
(* -1 (log u1))
(log (/ 1 u1))
(log (/ 1 u1))
(log (/ 1 u1))
(log (/ 1 u1))
(+ (log -1) (log (/ -1 u1)))
(+ (log -1) (log (/ -1 u1)))
(+ (log -1) (log (/ -1 u1)))
(+ (log -1) (log (/ -1 u1)))
Outputs
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(*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 u2 (PI.f64)))) (*.f64 (sqrt.f64 (log.f64 u1)) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -2 binary64)))))
(* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1))))
(*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 u2 (PI.f64)))) (*.f64 (sqrt.f64 (log.f64 u1)) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -2 binary64)))))
(* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -2) (sqrt -1))) (sqrt (log (/ 1 u1)))))
(*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 u2 (PI.f64)))) (*.f64 (*.f64 (sqrt.f64 #s(literal -2 binary64)) (sqrt.f64 (-.f64 #s(literal 0 binary64) (log.f64 u1)))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 1/6 binary64))))
(* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -2) (sqrt -1))) (sqrt (log (/ 1 u1)))))
(*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 u2 (PI.f64)))) (*.f64 (*.f64 (sqrt.f64 #s(literal -2 binary64)) (sqrt.f64 (-.f64 #s(literal 0 binary64) (log.f64 u1)))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 1/6 binary64))))
(* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -2) (sqrt -1))) (sqrt (log (/ 1 u1)))))
(*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 u2 (PI.f64)))) (*.f64 (*.f64 (sqrt.f64 #s(literal -2 binary64)) (sqrt.f64 (-.f64 #s(literal 0 binary64) (log.f64 u1)))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 1/6 binary64))))
(* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -2) (sqrt -1))) (sqrt (log (/ 1 u1)))))
(*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 u2 (PI.f64)))) (*.f64 (*.f64 (sqrt.f64 #s(literal -2 binary64)) (sqrt.f64 (-.f64 #s(literal 0 binary64) (log.f64 u1)))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 1/6 binary64))))
(* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (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 (*.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 (* (* (cos (* 2 (* u2 (PI)))) (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 (*.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 (* (* (cos (* 2 (* u2 (PI)))) (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 (*.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 (* (* (cos (* 2 (* u2 (PI)))) (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 (*.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 (log u1)) (sqrt -2)))
(*.f64 (sqrt.f64 (log.f64 u1)) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -2 binary64))))
(+ (* -1/3 (* (* (pow u2 2) (* (pow (PI) 2) (sqrt -2))) (sqrt (log u1)))) (* 1/6 (* (sqrt (log u1)) (sqrt -2))))
(*.f64 (sqrt.f64 (log.f64 u1)) (+.f64 (*.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -2 binary64))) (*.f64 (*.f64 (*.f64 #s(literal -1/3 binary64) (sqrt.f64 #s(literal -2 binary64))) (*.f64 (PI.f64) (PI.f64))) (*.f64 u2 u2))))
(+ (* 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 (*.f64 (sqrt.f64 (log.f64 u1)) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -2 binary64)))) (*.f64 (*.f64 (sqrt.f64 (log.f64 u1)) (*.f64 u2 u2)) (*.f64 (sqrt.f64 #s(literal -2 binary64)) (+.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 (PI.f64) (PI.f64))) (*.f64 #s(literal 1/9 binary64) (*.f64 u2 (*.f64 u2 (pow.f64 (PI.f64) #s(literal 4 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 (*.f64 (*.f64 u2 u2) (*.f64 (*.f64 (sqrt.f64 (log.f64 u1)) (*.f64 u2 u2)) (*.f64 (sqrt.f64 #s(literal -2 binary64)) (+.f64 (*.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))))))) (*.f64 (sqrt.f64 (log.f64 u1)) (+.f64 (*.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -2 binary64))) (*.f64 (*.f64 (*.f64 #s(literal -1/3 binary64) (sqrt.f64 #s(literal -2 binary64))) (*.f64 (PI.f64) (PI.f64))) (*.f64 u2 u2)))))
(* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1))))
(*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 u2 (PI.f64)))) (*.f64 (sqrt.f64 (log.f64 u1)) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -2 binary64)))))
(* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1))))
(*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 u2 (PI.f64)))) (*.f64 (sqrt.f64 (log.f64 u1)) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -2 binary64)))))
(* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1))))
(*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 u2 (PI.f64)))) (*.f64 (sqrt.f64 (log.f64 u1)) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -2 binary64)))))
(* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1))))
(*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 u2 (PI.f64)))) (*.f64 (sqrt.f64 (log.f64 u1)) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -2 binary64)))))
(* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1))))
(*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 u2 (PI.f64)))) (*.f64 (sqrt.f64 (log.f64 u1)) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -2 binary64)))))
(* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1))))
(*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 u2 (PI.f64)))) (*.f64 (sqrt.f64 (log.f64 u1)) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -2 binary64)))))
(* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1))))
(*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 u2 (PI.f64)))) (*.f64 (sqrt.f64 (log.f64 u1)) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -2 binary64)))))
(* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1))))
(*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 u2 (PI.f64)))) (*.f64 (sqrt.f64 (log.f64 u1)) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -2 binary64)))))
1
#s(literal 1 binary64)
(+ 1 (* -2 (* (pow u2 2) (pow (PI) 2))))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (*.f64 u2 u2) #s(literal -2 binary64))))
(+ 1 (* (pow u2 2) (+ (* -2 (pow (PI) 2)) (* 2/3 (* (pow u2 2) (pow (PI) 4))))))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 u2 u2) (+.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal -2 binary64))) (*.f64 u2 (*.f64 u2 (*.f64 (pow.f64 (PI.f64) #s(literal 4 binary64)) #s(literal 2/3 binary64)))))))
(+ 1 (* (pow u2 2) (+ (* -2 (pow (PI) 2)) (* (pow u2 2) (+ (* -4/45 (* (pow u2 2) (pow (PI) 6))) (* 2/3 (pow (PI) 4)))))))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 u2 u2) (+.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal -2 binary64))) (*.f64 u2 (*.f64 u2 (+.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 6 binary64)) (*.f64 (*.f64 u2 u2) #s(literal -4/45 binary64))) (*.f64 (pow.f64 (PI.f64) #s(literal 4 binary64)) #s(literal 2/3 binary64))))))))
(cos (* 2 (* u2 (PI))))
(cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 u2 (PI.f64))))
(cos (* 2 (* u2 (PI))))
(cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 u2 (PI.f64))))
(cos (* 2 (* u2 (PI))))
(cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 u2 (PI.f64))))
(cos (* 2 (* u2 (PI))))
(cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 u2 (PI.f64))))
(cos (* 2 (* u2 (PI))))
(cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 u2 (PI.f64))))
(cos (* 2 (* u2 (PI))))
(cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 u2 (PI.f64))))
(cos (* 2 (* u2 (PI))))
(cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 u2 (PI.f64))))
(cos (* 2 (* u2 (PI))))
(cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 u2 (PI.f64))))
1
#s(literal 1 binary64)
(+ 1 (* -2 (* (pow u2 2) (pow (PI) 2))))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (*.f64 u2 u2) #s(literal -2 binary64))))
(+ 1 (* (pow u2 2) (+ (* -2 (pow (PI) 2)) (* 2/3 (* (pow u2 2) (pow (PI) 4))))))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 u2 u2) (+.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal -2 binary64))) (*.f64 u2 (*.f64 u2 (*.f64 (pow.f64 (PI.f64) #s(literal 4 binary64)) #s(literal 2/3 binary64)))))))
(+ 1 (* (pow u2 2) (+ (* -2 (pow (PI) 2)) (* (pow u2 2) (+ (* -4/45 (* (pow u2 2) (pow (PI) 6))) (* 2/3 (pow (PI) 4)))))))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 u2 u2) (+.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal -2 binary64))) (*.f64 u2 (*.f64 u2 (+.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 6 binary64)) (*.f64 (*.f64 u2 u2) #s(literal -4/45 binary64))) (*.f64 (pow.f64 (PI.f64) #s(literal 4 binary64)) #s(literal 2/3 binary64))))))))
(cos (* 2 (* u2 (PI))))
(cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 u2 (PI.f64))))
(cos (* 2 (* u2 (PI))))
(cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 u2 (PI.f64))))
(cos (* 2 (* u2 (PI))))
(cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 u2 (PI.f64))))
(cos (* 2 (* u2 (PI))))
(cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 u2 (PI.f64))))
(cos (* 2 (* u2 (PI))))
(cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 u2 (PI.f64))))
(cos (* 2 (* u2 (PI))))
(cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 u2 (PI.f64))))
(cos (* 2 (* u2 (PI))))
(cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 u2 (PI.f64))))
(cos (* 2 (* u2 (PI))))
(cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 u2 (PI.f64))))
(* -1 (log u1))
(-.f64 #s(literal 0 binary64) (log.f64 u1))
(* -1 (log u1))
(-.f64 #s(literal 0 binary64) (log.f64 u1))
(* -1 (log u1))
(-.f64 #s(literal 0 binary64) (log.f64 u1))
(* -1 (log u1))
(-.f64 #s(literal 0 binary64) (log.f64 u1))
(log (/ 1 u1))
(-.f64 #s(literal 0 binary64) (log.f64 u1))
(log (/ 1 u1))
(-.f64 #s(literal 0 binary64) (log.f64 u1))
(log (/ 1 u1))
(-.f64 #s(literal 0 binary64) (log.f64 u1))
(log (/ 1 u1))
(-.f64 #s(literal 0 binary64) (log.f64 u1))
(+ (log -1) (log (/ -1 u1)))
(+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) u1)))
(+ (log -1) (log (/ -1 u1)))
(+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) u1)))
(+ (log -1) (log (/ -1 u1)))
(+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) u1)))
(+ (log -1) (log (/ -1 u1)))
(+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) u1)))

eval316.0ms (2.3%)

Memory
49.5MiB live, 591.1MiB allocated
Compiler

Compiled 122 020 to 4 670 computations (96.2% saved)

prune200.0ms (1.5%)

Memory
2.3MiB live, 391.0MiB allocated
Pruning

13 alts after pruning (12 fresh and 1 done)

PrunedKeptTotal
New2 315102 325
Fresh11213
Picked415
Done000
Total2 330132 343
Accuracy
100.0%
Counts
2 343 → 13
Alt Table
Click to see full alt table
StatusAccuracyProgram
98.6%
(fma.f64 (*.f64 (pow.f64 (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/8 binary64)) #s(literal 4 binary64)) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))) #s(literal 1/6 binary64) #s(literal 1/2 binary64))
✓99.4%
(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))
98.3%
(/.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/36 binary64))) (-.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal 1/6 binary64))))
▶98.1%
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal 1/6 binary64)) #s(literal -1/2 binary64)) (+.f64 (*.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/36 binary64)) #s(literal -1/4 binary64))))
99.3%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))))))))
▶99.4%
(-.f64 (*.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))
99.3%
(+.f64 (pow.f64 (*.f64 (*.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #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 (PI.f64) u2))))))) #s(literal 1/2 binary64)) #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))
▶99.5%
(+.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)))) (cos.f64 (*.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) u2))) #s(literal 1/2 binary64))
98.7%
(+.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (exp.f64 (log.f64 (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))) #s(literal 1/6 binary64))))) #s(literal 1/2 binary64))
▶98.5%
(+.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal 1/6 binary64)) #s(literal 1/2 binary64))
98.6%
(+.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 1/2 binary64))
▶98.2%
(*.f64 (+.f64 (*.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/36 binary64)) #s(literal -1/4 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal 1/6 binary64)) #s(literal -1/2 binary64))))
Compiler

Compiled 493 to 415 computations (15.8% saved)

simplify22.0ms (0.2%)

Memory
-10.7MiB live, 27.2MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(+.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal 1/6 binary64)) #s(literal -1/2 binary64))
✓cost-diff0
(/.f64 (+.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal 1/6 binary64)) #s(literal -1/2 binary64)) (+.f64 (*.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/36 binary64)) #s(literal -1/4 binary64)))
✓cost-diff128
(*.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/36 binary64))
✓cost-diff128
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal 1/6 binary64)) #s(literal -1/2 binary64)) (+.f64 (*.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/36 binary64)) #s(literal -1/4 binary64))))
✓cost-diff0
(*.f64 #s(literal -2 binary64) (log.f64 u1))
✓cost-diff0
(+.f64 (*.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/36 binary64)) #s(literal -1/4 binary64))
✓cost-diff128
(*.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/36 binary64))
✓cost-diff128
(*.f64 (+.f64 (*.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/36 binary64)) #s(literal -1/4 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal 1/6 binary64)) #s(literal -1/2 binary64))))
✓cost-diff0
(*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))
✓cost-diff0
(cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))
✓cost-diff0
(*.f64 (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)))
✓cost-diff0
(-.f64 (*.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))
✓cost-diff0
(*.f64 #s(literal -2 binary64) (log.f64 u1))
✓cost-diff0
(sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)))
✓cost-diff0
(*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal 1/6 binary64))
✓cost-diff0
(+.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal 1/6 binary64)) #s(literal 1/2 binary64))
✓cost-diff0
(*.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (log.f64 u1))) (sqrt.f64 #s(literal 2 binary64)))
✓cost-diff0
(*.f64 #s(literal 1/6 binary64) (*.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (log.f64 u1))) (sqrt.f64 #s(literal 2 binary64))))
✓cost-diff0
(*.f64 (*.f64 #s(literal 1/6 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-diff0
(+.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)))) (cos.f64 (*.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) u2))) #s(literal 1/2 binary64))
Rules
316×*-lowering-*.f32
316×*-lowering-*.f64
240×accelerator-lowering-fma.f32
240×accelerator-lowering-fma.f64
130×associate-*r*
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
039347
174329
2130329
3221329
4294329
5359329
6391329
7397329
0397315
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
(* (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 (* -2 (log u1))) 1/6) 1/2)
(* (sqrt (* -2 (log u1))) 1/6)
(sqrt (* -2 (log u1)))
(* -2 (log u1))
-2
(log u1)
u1
1/6
1/2
(- (* (cos (* 2 (* (PI) u2))) (* (sqrt (* -2 (log u1))) 1/6)) -1/2)
(* (cos (* 2 (* (PI) u2))) (* (sqrt (* -2 (log u1))) 1/6))
(cos (* 2 (* (PI) u2)))
(* 2 (* (PI) u2))
2
(* (PI) u2)
(PI)
u2
(* (sqrt (* -2 (log u1))) 1/6)
(sqrt (* -2 (log u1)))
(* -2 (log u1))
-2
(log u1)
u1
1/6
-1/2
(* (+ (* (* -2 (log u1)) 1/36) -1/4) (/ 1 (+ (* (sqrt (* -2 (log u1))) 1/6) -1/2)))
(+ (* (* -2 (log u1)) 1/36) -1/4)
(* (* -2 (log u1)) 1/36)
(* -2 (log u1))
-2
(log u1)
u1
1/36
-1/4
(/ 1 (+ (* (sqrt (* -2 (log u1))) 1/6) -1/2))
1
(+ (* (sqrt (* -2 (log u1))) 1/6) -1/2)
(* (sqrt (* -2 (log u1))) 1/6)
(sqrt (* -2 (log u1)))
1/6
-1/2
(/ 1 (/ (+ (* (sqrt (* -2 (log u1))) 1/6) -1/2) (+ (* (* -2 (log u1)) 1/36) -1/4)))
1
(/ (+ (* (sqrt (* -2 (log u1))) 1/6) -1/2) (+ (* (* -2 (log u1)) 1/36) -1/4))
(+ (* (sqrt (* -2 (log u1))) 1/6) -1/2)
(* (sqrt (* -2 (log u1))) 1/6)
(sqrt (* -2 (log u1)))
(* -2 (log u1))
-2
(log u1)
u1
1/6
-1/2
(+ (* (* -2 (log u1)) 1/36) -1/4)
(* (* -2 (log u1)) 1/36)
1/36
-1/4
Outputs
(+ (* (* 1/6 (* (sqrt (- 0 (log u1))) (sqrt 2))) (cos (* (* 2 (PI)) u2))) 1/2)
(+.f64 (*.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (log.f64 u1))) (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal 2 binary64))))) #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 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal 2 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)
(* (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 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))
(* (* 2 (PI)) u2)
(*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))
(* 2 (PI))
(*.f64 #s(literal 2 binary64) (PI.f64))
(PI)
(PI.f64)
u2
1/2
#s(literal 1/2 binary64)
(+ (* (sqrt (* -2 (log u1))) 1/6) 1/2)
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)))))
(* (sqrt (* -2 (log u1))) 1/6)
(*.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))))
(sqrt (* -2 (log u1)))
(sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)))
(* -2 (log u1))
(*.f64 (log.f64 u1) #s(literal -2 binary64))
-2
#s(literal -2 binary64)
(log u1)
(log.f64 u1)
u1
1/6
#s(literal 1/6 binary64)
1/2
#s(literal 1/2 binary64)
(- (* (cos (* 2 (* (PI) u2))) (* (sqrt (* -2 (log u1))) 1/6)) -1/2)
(+.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))) (*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))))))
(* (cos (* 2 (* (PI) u2))) (* (sqrt (* -2 (log u1))) 1/6))
(*.f64 (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))) (*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))))
(cos (* 2 (* (PI) u2)))
(cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))
(* 2 (* (PI) u2))
(*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))
2
#s(literal 2 binary64)
(* (PI) u2)
(*.f64 (PI.f64) u2)
(PI)
(PI.f64)
u2
(* (sqrt (* -2 (log u1))) 1/6)
(*.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))))
(sqrt (* -2 (log u1)))
(sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)))
(* -2 (log u1))
(*.f64 (log.f64 u1) #s(literal -2 binary64))
-2
#s(literal -2 binary64)
(log u1)
(log.f64 u1)
u1
1/6
#s(literal 1/6 binary64)
-1/2
#s(literal -1/2 binary64)
(* (+ (* (* -2 (log u1)) 1/36) -1/4) (/ 1 (+ (* (sqrt (* -2 (log u1))) 1/6) -1/2)))
(/.f64 (+.f64 (*.f64 (log.f64 u1) #s(literal -1/18 binary64)) #s(literal -1/4 binary64)) (+.f64 (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)))) #s(literal -1/2 binary64)))
(+ (* (* -2 (log u1)) 1/36) -1/4)
(+.f64 (*.f64 (log.f64 u1) #s(literal -1/18 binary64)) #s(literal -1/4 binary64))
(* (* -2 (log u1)) 1/36)
(*.f64 (log.f64 u1) #s(literal -1/18 binary64))
(* -2 (log u1))
(*.f64 (log.f64 u1) #s(literal -2 binary64))
-2
#s(literal -2 binary64)
(log u1)
(log.f64 u1)
u1
1/36
#s(literal 1/36 binary64)
-1/4
#s(literal -1/4 binary64)
(/ 1 (+ (* (sqrt (* -2 (log u1))) 1/6) -1/2))
(/.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)))) #s(literal -1/2 binary64)))
1
#s(literal 1 binary64)
(+ (* (sqrt (* -2 (log u1))) 1/6) -1/2)
(+.f64 (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)))) #s(literal -1/2 binary64))
(* (sqrt (* -2 (log u1))) 1/6)
(*.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))))
(sqrt (* -2 (log u1)))
(sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)))
1/6
#s(literal 1/6 binary64)
-1/2
#s(literal -1/2 binary64)
(/ 1 (/ (+ (* (sqrt (* -2 (log u1))) 1/6) -1/2) (+ (* (* -2 (log u1)) 1/36) -1/4)))
(/.f64 (+.f64 (*.f64 (log.f64 u1) #s(literal -1/18 binary64)) #s(literal -1/4 binary64)) (+.f64 (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)))) #s(literal -1/2 binary64)))
1
#s(literal 1 binary64)
(/ (+ (* (sqrt (* -2 (log u1))) 1/6) -1/2) (+ (* (* -2 (log u1)) 1/36) -1/4))
(/.f64 (+.f64 (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)))) #s(literal -1/2 binary64)) (+.f64 (*.f64 (log.f64 u1) #s(literal -1/18 binary64)) #s(literal -1/4 binary64)))
(+ (* (sqrt (* -2 (log u1))) 1/6) -1/2)
(+.f64 (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)))) #s(literal -1/2 binary64))
(* (sqrt (* -2 (log u1))) 1/6)
(*.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))))
(sqrt (* -2 (log u1)))
(sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)))
(* -2 (log u1))
(*.f64 (log.f64 u1) #s(literal -2 binary64))
-2
#s(literal -2 binary64)
(log u1)
(log.f64 u1)
u1
1/6
#s(literal 1/6 binary64)
-1/2
#s(literal -1/2 binary64)
(+ (* (* -2 (log u1)) 1/36) -1/4)
(+.f64 (*.f64 (log.f64 u1) #s(literal -1/18 binary64)) #s(literal -1/4 binary64))
(* (* -2 (log u1)) 1/36)
(*.f64 (log.f64 u1) #s(literal -1/18 binary64))
1/36
#s(literal 1/36 binary64)
-1/4
#s(literal -1/4 binary64)

localize197.0ms (1.5%)

Memory
12.8MiB live, 255.5MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
✓accuracy99.6%
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal 1/6 binary64)) #s(literal -1/2 binary64)) (+.f64 (*.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/36 binary64)) #s(literal -1/4 binary64))))
✓accuracy99.5%
(/.f64 (+.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal 1/6 binary64)) #s(literal -1/2 binary64)) (+.f64 (*.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/36 binary64)) #s(literal -1/4 binary64)))
✓accuracy99.5%
(*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal 1/6 binary64))
✓accuracy99.4%
(*.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/36 binary64))
✓accuracy99.5%
(/.f64 #s(literal 1 binary64) (+.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal 1/6 binary64)) #s(literal -1/2 binary64)))
✓accuracy99.5%
(*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal 1/6 binary64))
✓accuracy99.4%
(*.f64 (+.f64 (*.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/36 binary64)) #s(literal -1/4 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal 1/6 binary64)) #s(literal -1/2 binary64))))
✓accuracy99.4%
(*.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/36 binary64))
✓accuracy99.9%
(-.f64 (*.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))
✓accuracy99.7%
(sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)))
✓accuracy99.6%
(*.f64 (PI.f64) u2)
✓accuracy99.5%
(*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal 1/6 binary64))
✓accuracy100.0%
(log.f64 u1)
✓accuracy99.9%
(+.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal 1/6 binary64)) #s(literal 1/2 binary64))
✓accuracy99.7%
(sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)))
✓accuracy99.5%
(*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal 1/6 binary64))
✓accuracy99.8%
(sqrt.f64 (-.f64 #s(literal 0 binary64) (log.f64 u1)))
✓accuracy99.6%
(*.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) u2)
✓accuracy99.5%
(*.f64 #s(literal 1/6 binary64) (*.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (log.f64 u1))) (sqrt.f64 #s(literal 2 binary64))))
✓accuracy99.3%
(*.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (log.f64 u1))) (sqrt.f64 #s(literal 2 binary64)))
Samples
88.0ms256×0valid
Compiler

Compiled 355 to 41 computations (88.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 63.0ms
ival-mult: 18.0ms (28.7% of total)
const: 13.0ms (20.8% of total)
ival-add: 8.0ms (12.8% of total)
ival-log: 6.0ms (9.6% of total)
ival-sqrt: 5.0ms (8% of total)
ival-div: 4.0ms (6.4% of total)
ival-sub: 3.0ms (4.8% of total)
ival-cos: 3.0ms (4.8% of total)
ival-pi: 1.0ms (1.6% of total)
exact: 1.0ms (1.6% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series37.0ms (0.3%)

Memory
-12.9MiB live, 23.8MiB allocated
Counts
23 → 324
Calls
Call 1
Inputs
#<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 (- 0 (log u1))) (sqrt 2))>
#<alt (+ (* (sqrt (* -2 (log u1))) 1/6) 1/2)>
#<alt (* (sqrt (* -2 (log u1))) 1/6)>
#<alt (sqrt (* -2 (log u1)))>
#<alt (* -2 (log u1))>
#<alt (- (* (cos (* 2 (* (PI) u2))) (* (sqrt (* -2 (log u1))) 1/6)) -1/2)>
#<alt (* (cos (* 2 (* (PI) u2))) (* (sqrt (* -2 (log u1))) 1/6))>
#<alt (cos (* 2 (* (PI) u2)))>
#<alt (* 2 (* (PI) u2))>
#<alt (* (+ (* (* -2 (log u1)) 1/36) -1/4) (/ 1 (+ (* (sqrt (* -2 (log u1))) 1/6) -1/2)))>
#<alt (* (* -2 (log u1)) 1/36)>
#<alt (+ (* (* -2 (log u1)) 1/36) -1/4)>
#<alt (/ 1 (/ (+ (* (sqrt (* -2 (log u1))) 1/6) -1/2) (+ (* (* -2 (log u1)) 1/36) -1/4)))>
#<alt (/ (+ (* (sqrt (* -2 (log u1))) 1/6) -1/2) (+ (* (* -2 (log u1)) 1/36) -1/4))>
#<alt (+ (* (sqrt (* -2 (log u1))) 1/6) -1/2)>
#<alt (* (* 2 (PI)) u2)>
#<alt (sqrt (- 0 (log u1)))>
#<alt (log u1)>
#<alt (* (PI) u2)>
#<alt (/ 1 (+ (* (sqrt (* -2 (log u1))) 1/6) -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 (* 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)))))>
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#<alt (/ (- (* 1/6 (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))) 1/2) (- (* -1/18 (+ (log -1) (* -1 (log (/ -1 u1))))) 1/4))>
#<alt (/ (- (* 1/6 (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))) 1/2) (- (* -1/18 (+ (log -1) (* -1 (log (/ -1 u1))))) 1/4))>
#<alt (/ (- (* 1/6 (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))) 1/2) (- (* -1/18 (+ (log -1) (* -1 (log (/ -1 u1))))) 1/4))>
#<alt (/ (- (* 1/6 (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))) 1/2) (- (* -1/18 (+ (log -1) (* -1 (log (/ -1 u1))))) 1/4))>
#<alt (- (* 1/6 (* (sqrt (log u1)) (sqrt -2))) 1/2)>
#<alt (- (* 1/6 (* (sqrt (log u1)) (sqrt -2))) 1/2)>
#<alt (- (* 1/6 (* (sqrt (log u1)) (sqrt -2))) 1/2)>
#<alt (- (* 1/6 (* (sqrt (log u1)) (sqrt -2))) 1/2)>
#<alt (- (* 1/6 (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1)))) 1/2)>
#<alt (- (* 1/6 (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1)))) 1/2)>
#<alt (- (* 1/6 (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1)))) 1/2)>
#<alt (- (* 1/6 (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1)))) 1/2)>
#<alt (- (* 1/6 (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))) 1/2)>
#<alt (- (* 1/6 (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))) 1/2)>
#<alt (- (* 1/6 (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))) 1/2)>
#<alt (- (* 1/6 (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))) 1/2)>
#<alt (* 2 (* u2 (PI)))>
#<alt (* 2 (* u2 (PI)))>
#<alt (* 2 (* u2 (PI)))>
#<alt (* 2 (* u2 (PI)))>
#<alt (* 2 (* u2 (PI)))>
#<alt (* 2 (* u2 (PI)))>
#<alt (* 2 (* u2 (PI)))>
#<alt (* 2 (* u2 (PI)))>
#<alt (* 2 (* u2 (PI)))>
#<alt (* 2 (* u2 (PI)))>
#<alt (* 2 (* u2 (PI)))>
#<alt (* 2 (* u2 (PI)))>
#<alt (* (sqrt (log u1)) (sqrt -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 (* u2 (PI))>
#<alt (* u2 (PI))>
#<alt (* u2 (PI))>
#<alt (* u2 (PI))>
#<alt (* u2 (PI))>
#<alt (* u2 (PI))>
#<alt (* u2 (PI))>
#<alt (* u2 (PI))>
#<alt (* u2 (PI))>
#<alt (* u2 (PI))>
#<alt (* u2 (PI))>
#<alt (* u2 (PI))>
#<alt (/ 1 (- (* 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))>
Calls

81 calls:

TimeVariablePointExpression
15.0ms
u2
@-inf
(* (* 2 (PI)) u2)
1.0ms
u1
@0
(+ (* (* 1/6 (* (sqrt (- 0 (log u1))) (sqrt 2))) (cos (* (* 2 (PI)) u2))) 1/2)
1.0ms
u2
@inf
(+ (* (* 1/6 (* (sqrt (- 0 (log u1))) (sqrt 2))) (cos (* (* 2 (PI)) u2))) 1/2)
1.0ms
u1
@-inf
(* (+ (* (* -2 (log u1)) 1/36) -1/4) (/ 1 (+ (* (sqrt (* -2 (log u1))) 1/6) -1/2)))
1.0ms
u2
@0
(+ (* (* 1/6 (* (sqrt (- 0 (log u1))) (sqrt 2))) (cos (* (* 2 (PI)) u2))) 1/2)

rewrite472.0ms (3.5%)

Memory
9.7MiB live, 765.5MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
3 914×*-lowering-*.f32
3 914×*-lowering-*.f64
3 762×/-lowering-/.f32
3 762×/-lowering-/.f64
3 626×accelerator-lowering-fma.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
039196
1193190
21289185
09008176
Stop Event
1×iter limit
1×node limit
Counts
23 → 1 255
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)))
(* (sqrt (- 0 (log u1))) (sqrt 2))
(+ (* (sqrt (* -2 (log u1))) 1/6) 1/2)
(* (sqrt (* -2 (log u1))) 1/6)
(sqrt (* -2 (log u1)))
(* -2 (log u1))
(- (* (cos (* 2 (* (PI) u2))) (* (sqrt (* -2 (log u1))) 1/6)) -1/2)
(* (cos (* 2 (* (PI) u2))) (* (sqrt (* -2 (log u1))) 1/6))
(cos (* 2 (* (PI) u2)))
(* 2 (* (PI) u2))
(* (+ (* (* -2 (log u1)) 1/36) -1/4) (/ 1 (+ (* (sqrt (* -2 (log u1))) 1/6) -1/2)))
(* (* -2 (log u1)) 1/36)
(+ (* (* -2 (log u1)) 1/36) -1/4)
(/ 1 (/ (+ (* (sqrt (* -2 (log u1))) 1/6) -1/2) (+ (* (* -2 (log u1)) 1/36) -1/4)))
(/ (+ (* (sqrt (* -2 (log u1))) 1/6) -1/2) (+ (* (* -2 (log u1)) 1/36) -1/4))
(+ (* (sqrt (* -2 (log u1))) 1/6) -1/2)
(* (* 2 (PI)) u2)
(sqrt (- 0 (log u1)))
(log u1)
(* (PI) u2)
(/ 1 (+ (* (sqrt (* -2 (log u1))) 1/6) -1/2))
Outputs
(+.f64 (*.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (*.f64 (log.f64 u1) #s(literal 2 binary64)))) (*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))))) #s(literal 1/2 binary64))
(+.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (*.f64 (log.f64 u1) #s(literal 2 binary64)))) (*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))))))
(+.f64 (/.f64 (pow.f64 (*.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (*.f64 (log.f64 u1) #s(literal 2 binary64)))) (*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))))) #s(literal 2 binary64)) (+.f64 (*.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (*.f64 (log.f64 u1) #s(literal 2 binary64)))) (*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))))) #s(literal -1/2 binary64))) (neg.f64 (/.f64 #s(literal 1/4 binary64) (+.f64 (*.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (*.f64 (log.f64 u1) #s(literal 2 binary64)))) (*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))))) #s(literal -1/2 binary64)))))
(-.f64 (/.f64 (pow.f64 (*.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (*.f64 (log.f64 u1) #s(literal 2 binary64)))) (*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))))) #s(literal 2 binary64)) (+.f64 (*.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (*.f64 (log.f64 u1) #s(literal 2 binary64)))) (*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))))) #s(literal -1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (+.f64 (*.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (*.f64 (log.f64 u1) #s(literal 2 binary64)))) (*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))))) #s(literal -1/2 binary64))))
(-.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (*.f64 (log.f64 u1) #s(literal 2 binary64)))) (*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))))))) (/.f64 (pow.f64 (*.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (*.f64 (log.f64 u1) #s(literal 2 binary64)))) (*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))))) #s(literal 2 binary64)) (-.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (*.f64 (log.f64 u1) #s(literal 2 binary64)))) (*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))))))))
(fma.f64 #s(literal 1/6 binary64) (*.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (*.f64 (log.f64 u1) #s(literal 2 binary64)))) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))) #s(literal 1/2 binary64))
(fma.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (*.f64 (log.f64 u1) #s(literal 2 binary64)))) (*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))) #s(literal 1/2 binary64))
(fma.f64 (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (-.f64 #s(literal 0 binary64) (*.f64 (log.f64 u1) #s(literal 2 binary64))))) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))) #s(literal 1/2 binary64))
(fma.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (-.f64 #s(literal 0 binary64) (*.f64 (log.f64 u1) #s(literal 2 binary64))))) #s(literal 1/2 binary64))
(fma.f64 (pow.f64 (*.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (*.f64 (log.f64 u1) #s(literal 2 binary64)))) (*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))))) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (*.f64 (log.f64 u1) #s(literal 2 binary64)))) (*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))))) #s(literal -1/2 binary64))) (neg.f64 (/.f64 #s(literal 1/4 binary64) (+.f64 (*.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (*.f64 (log.f64 u1) #s(literal 2 binary64)))) (*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))))) #s(literal -1/2 binary64)))))
(fma.f64 (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (log.f64 (/.f64 #s(literal 1 binary64) u1)))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))) #s(literal 1/2 binary64))
(fma.f64 (*.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (*.f64 (log.f64 u1) #s(literal 2 binary64)))) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))) #s(literal 1/6 binary64) #s(literal 1/2 binary64))
(fma.f64 (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))) #s(literal 1/6 binary64)) (sqrt.f64 (-.f64 #s(literal 0 binary64) (*.f64 (log.f64 u1) #s(literal 2 binary64)))) #s(literal 1/2 binary64))
(fma.f64 (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (log.f64 (/.f64 #s(literal 1 binary64) u1))))) (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (*.f64 (log.f64 u1) #s(literal 2 binary64)))) (*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))))) #s(literal 1/2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (*.f64 (log.f64 u1) #s(literal 2 binary64)))) (*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))))) #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/4 binary64) (-.f64 (pow.f64 (*.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (*.f64 (log.f64 u1) #s(literal 2 binary64)))) (*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))))) #s(literal 2 binary64)) (*.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (*.f64 (log.f64 u1) #s(literal 2 binary64)))) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))) #s(literal 1/2 binary64))))) (+.f64 (pow.f64 (*.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (*.f64 (log.f64 u1) #s(literal 2 binary64)))) (*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))))) #s(literal 3 binary64)) #s(literal 1/8 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (*.f64 (log.f64 u1) #s(literal 2 binary64)))) (*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))))) (-.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (*.f64 (log.f64 u1) #s(literal 2 binary64)))) (*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))))) #s(literal 2 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (*.f64 (log.f64 u1) #s(literal 2 binary64)))) (*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))))) #s(literal 1/2 binary64)))))
(/.f64 (+.f64 (pow.f64 (*.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (*.f64 (log.f64 u1) #s(literal 2 binary64)))) (*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))))) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (+.f64 (pow.f64 (*.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (*.f64 (log.f64 u1) #s(literal 2 binary64)))) (*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))))) #s(literal 2 binary64)) (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (*.f64 (log.f64 u1) #s(literal 2 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 0 binary64) (*.f64 (log.f64 u1) #s(literal 2 binary64)))) (*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))))) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (+.f64 #s(literal 1/4 binary64) (-.f64 (pow.f64 (*.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (*.f64 (log.f64 u1) #s(literal 2 binary64)))) (*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))))) #s(literal 2 binary64)) (*.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (*.f64 (log.f64 u1) #s(literal 2 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 0 binary64) (*.f64 (log.f64 u1) #s(literal 2 binary64)))) (*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))))) #s(literal 2 binary64)) #s(literal -1/4 binary64)) (+.f64 (*.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (*.f64 (log.f64 u1) #s(literal 2 binary64)))) (*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))))) #s(literal -1/2 binary64)))
(/.f64 (-.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (*.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (*.f64 (log.f64 u1) #s(literal 2 binary64)))) (*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))))) #s(literal 3 binary64)) #s(literal 1/8 binary64))) (-.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (*.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (*.f64 (log.f64 u1) #s(literal 2 binary64)))) (*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))))) #s(literal 2 binary64)) (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (*.f64 (log.f64 u1) #s(literal 2 binary64)))) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))) #s(literal 1/2 binary64)))))))
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(fma.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 u1) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) u1))) #s(literal 0 binary64))
(fma.f64 (pow.f64 (log.f64 u1) #s(literal 1/2 binary64)) (pow.f64 (log.f64 u1) #s(literal 1/2 binary64)) #s(literal 0 binary64))
(fma.f64 (pow.f64 (log.f64 u1) #s(literal 3 binary64)) (pow.f64 (log.f64 u1) #s(literal -2 binary64)) #s(literal 0 binary64))
(fma.f64 (/.f64 (log.f64 u1) (log.f64 u1)) (log.f64 u1) #s(literal 0 binary64))
(fma.f64 (/.f64 (pow.f64 (log.f64 u1) #s(literal 3/2 binary64)) (log.f64 u1)) (/.f64 (pow.f64 (log.f64 u1) #s(literal 3/2 binary64)) (log.f64 u1)) #s(literal 0 binary64))
(neg.f64 (log.f64 (/.f64 #s(literal 1 binary64) u1)))
(/.f64 #s(literal 1 binary64) (/.f64 (log.f64 u1) (pow.f64 (log.f64 u1) #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (log.f64 u1) #s(literal 2 binary64)) (pow.f64 (log.f64 u1) #s(literal 3 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (log.f64 (/.f64 #s(literal 1 binary64) u1)) (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 u1) #s(literal 2 binary64)))))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 u1) #s(literal 3 binary64))) (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 u1) #s(literal 2 binary64))))
(/.f64 (pow.f64 (log.f64 u1) #s(literal 2 binary64)) (log.f64 u1))
(/.f64 (pow.f64 (log.f64 u1) #s(literal 2 binary64)) (-.f64 (log.f64 u1) #s(literal 0 binary64)))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 u1) #s(literal 2 binary64))) (log.f64 (/.f64 #s(literal 1 binary64) u1)))
(/.f64 (pow.f64 (log.f64 u1) #s(literal 3 binary64)) (pow.f64 (log.f64 u1) #s(literal 2 binary64)))
(/.f64 (sqrt.f64 (pow.f64 (log.f64 u1) #s(literal 6 binary64))) (sqrt.f64 (pow.f64 (log.f64 u1) #s(literal 4 binary64))))
(/.f64 (sqrt.f64 (pow.f64 (log.f64 u1) #s(literal 4 binary64))) (log.f64 u1))
(/.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 u1) #s(literal 4 binary64)))) (sqrt.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 u1) #s(literal 2 binary64)))))
(/.f64 (+.f64 (pow.f64 (log.f64 u1) #s(literal 3 binary64)) #s(literal 0 binary64)) (pow.f64 (log.f64 u1) #s(literal 2 binary64)))
(pow.f64 (log.f64 u1) #s(literal 1 binary64))
(pow.f64 (pow.f64 (log.f64 u1) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(*.f64 (log.f64 u1) (/.f64 (log.f64 u1) (log.f64 u1)))
(*.f64 (pow.f64 (log.f64 u1) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (log.f64 u1)))
(*.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 u1) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) u1))))
(*.f64 (pow.f64 (log.f64 u1) #s(literal 1/2 binary64)) (pow.f64 (log.f64 u1) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (log.f64 u1) #s(literal 3 binary64)) (pow.f64 (log.f64 u1) #s(literal -2 binary64)))
(*.f64 (/.f64 (log.f64 u1) (log.f64 u1)) (log.f64 u1))
(*.f64 (/.f64 (pow.f64 (log.f64 u1) #s(literal 3/2 binary64)) (log.f64 u1)) (/.f64 (pow.f64 (log.f64 u1) #s(literal 3/2 binary64)) (log.f64 u1)))
(*.f64 (PI.f64) u2)
(*.f64 u2 (PI.f64))
(*.f64 #s(literal 1 binary64) (*.f64 (PI.f64) u2))
(*.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (*.f64 (cbrt.f64 (PI.f64)) u2))
(*.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) u2))
(*.f64 (*.f64 u2 (pow.f64 (PI.f64) #s(literal 2/3 binary64))) (cbrt.f64 (PI.f64)))
(*.f64 (*.f64 u2 (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)))
(exp.f64 (*.f64 (log.f64 (+.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 0 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)))))))
(-.f64 (/.f64 (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)))) (+.f64 #s(literal -1/4 binary64) (*.f64 (log.f64 u1) #s(literal -1/18 binary64)))) (/.f64 #s(literal -1/2 binary64) (+.f64 #s(literal -1/4 binary64) (*.f64 (log.f64 u1) #s(literal -1/18 binary64)))))
(-.f64 (/.f64 (+.f64 (*.f64 (log.f64 u1) #s(literal -1/18 binary64)) #s(literal 1/4 binary64)) (+.f64 (pow.f64 (*.f64 (log.f64 u1) #s(literal -1/18 binary64)) #s(literal 3/2 binary64)) #s(literal -1/8 binary64))) (/.f64 (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal -1/12 binary64)) (+.f64 (pow.f64 (*.f64 (log.f64 u1) #s(literal -1/18 binary64)) #s(literal 3/2 binary64)) #s(literal -1/8 binary64))))
(-.f64 (/.f64 (/.f64 (*.f64 (log.f64 u1) #s(literal -1/18 binary64)) (+.f64 (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)))) #s(literal -1/2 binary64))) (+.f64 #s(literal -1/4 binary64) (*.f64 (log.f64 u1) #s(literal -1/18 binary64)))) (/.f64 (/.f64 #s(literal -1/4 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)))))) (+.f64 #s(literal -1/4 binary64) (*.f64 (log.f64 u1) #s(literal -1/18 binary64)))))
(neg.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)))))))
(/.f64 (+.f64 #s(literal -1/4 binary64) (*.f64 (log.f64 u1) #s(literal -1/18 binary64))) (*.f64 (+.f64 #s(literal -1/4 binary64) (*.f64 (log.f64 u1) #s(literal -1/18 binary64))) (+.f64 (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)))) #s(literal -1/2 binary64))))
(/.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)))) #s(literal -1/2 binary64)))
(/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))))))
(/.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 (log.f64 u1) #s(literal -1/18 binary64))) (*.f64 (+.f64 #s(literal -1/4 binary64) (*.f64 (log.f64 u1) #s(literal -1/18 binary64))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)))))))
(/.f64 (-.f64 (+.f64 (*.f64 (log.f64 u1) #s(literal -1/18 binary64)) #s(literal 1/4 binary64)) (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal -1/12 binary64))) (+.f64 (pow.f64 (*.f64 (log.f64 u1) #s(literal -1/18 binary64)) #s(literal 3/2 binary64)) #s(literal -1/8 binary64)))
(/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1/4 binary64) (*.f64 (log.f64 u1) #s(literal -1/18 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)))))))
(/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))))) (+.f64 #s(literal -1/4 binary64) (*.f64 (log.f64 u1) #s(literal -1/18 binary64))))
(/.f64 (-.f64 #s(literal 0 binary64) (-.f64 (+.f64 (*.f64 (log.f64 u1) #s(literal -1/18 binary64)) #s(literal 1/4 binary64)) (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal -1/12 binary64)))) (-.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (*.f64 (log.f64 u1) #s(literal -1/18 binary64)) #s(literal 3/2 binary64)) #s(literal -1/8 binary64))))
(/.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)))))) (-.f64 #s(literal 1/4 binary64) (*.f64 (log.f64 u1) #s(literal -1/18 binary64))))
(/.f64 (*.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (*.f64 (log.f64 u1) #s(literal -1/18 binary64)) #s(literal 3 binary64)) (pow.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal -1/12 binary64))) #s(literal 3 binary64)))) (*.f64 (+.f64 (pow.f64 (*.f64 (log.f64 u1) #s(literal -1/18 binary64)) #s(literal 3/2 binary64)) #s(literal -1/8 binary64)) (+.f64 (pow.f64 (*.f64 (log.f64 u1) #s(literal -1/18 binary64)) #s(literal 2 binary64)) (-.f64 (pow.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal -1/12 binary64))) #s(literal 2 binary64)) (*.f64 (*.f64 (log.f64 u1) #s(literal -1/18 binary64)) (-.f64 #s(literal 1/4 binary64) (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal -1/12 binary64))))))))
(/.f64 (*.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (*.f64 (log.f64 u1) #s(literal -1/18 binary64)) #s(literal 2 binary64)) (pow.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal -1/12 binary64))) #s(literal 2 binary64)))) (*.f64 (+.f64 (pow.f64 (*.f64 (log.f64 u1) #s(literal -1/18 binary64)) #s(literal 3/2 binary64)) #s(literal -1/8 binary64)) (-.f64 (*.f64 (log.f64 u1) #s(literal -1/18 binary64)) (-.f64 #s(literal 1/4 binary64) (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal -1/12 binary64))))))
(/.f64 (*.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (*.f64 (log.f64 u1) #s(literal -1/18 binary64)) #s(literal 3/2 binary64)) #s(literal 1/8 binary64))) (*.f64 (+.f64 #s(literal -1/4 binary64) (*.f64 (log.f64 u1) #s(literal -1/18 binary64))) (-.f64 (+.f64 (*.f64 (log.f64 u1) #s(literal -1/18 binary64)) #s(literal 1/4 binary64)) (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal 1/12 binary64)))))
(/.f64 (*.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (*.f64 (log.f64 u1) #s(literal -1/18 binary64)) #s(literal 3/2 binary64)) #s(literal 1/8 binary64))) (*.f64 (+.f64 #s(literal -1/4 binary64) (*.f64 (log.f64 u1) #s(literal -1/18 binary64))) (+.f64 #s(literal 1/4 binary64) (-.f64 (*.f64 (log.f64 u1) #s(literal -1/18 binary64)) (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal 1/12 binary64))))))
(/.f64 (*.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (*.f64 (log.f64 u1) #s(literal -1/18 binary64)) #s(literal 3/2 binary64)) #s(literal 1/8 binary64))) (*.f64 (+.f64 #s(literal -1/4 binary64) (*.f64 (log.f64 u1) #s(literal -1/18 binary64))) (+.f64 (*.f64 (log.f64 u1) #s(literal -1/18 binary64)) (+.f64 #s(literal 1/4 binary64) (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal -1/12 binary64))))))
(/.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (*.f64 (log.f64 u1) #s(literal -1/18 binary64)) #s(literal 3/2 binary64)) #s(literal 1/8 binary64)))) (*.f64 (+.f64 #s(literal -1/4 binary64) (*.f64 (log.f64 u1) #s(literal -1/18 binary64))) (-.f64 #s(literal 0 binary64) (-.f64 (+.f64 (*.f64 (log.f64 u1) #s(literal -1/18 binary64)) #s(literal 1/4 binary64)) (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal 1/12 binary64))))))
(pow.f64 (+.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))
(pow.f64 (pow.f64 (+.f64 (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)))) #s(literal -1/2 binary64)) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 (+.f64 (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)))) #s(literal -1/2 binary64)) (+.f64 (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)))) #s(literal -1/2 binary64))) #s(literal -1/2 binary64))
(pow.f64 (exp.f64 (log.f64 (+.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 #s(literal -1 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)))))))
(*.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)))))) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)))))))
(*.f64 (-.f64 (+.f64 (*.f64 (log.f64 u1) #s(literal -1/18 binary64)) #s(literal 1/4 binary64)) (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal -1/12 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (*.f64 (log.f64 u1) #s(literal -1/18 binary64)) #s(literal 3/2 binary64)) #s(literal -1/8 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1/4 binary64) (*.f64 (log.f64 u1) #s(literal -1/18 binary64)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))))))
(*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1/4 binary64) (*.f64 (log.f64 u1) #s(literal -1/18 binary64)))))
(*.f64 (pow.f64 (+.f64 (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)))) #s(literal -1/2 binary64)) #s(literal -1/2 binary64)) (pow.f64 (+.f64 (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)))) #s(literal -1/2 binary64)) #s(literal -1/2 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (*.f64 (log.f64 u1) #s(literal -1/18 binary64)) #s(literal 3/2 binary64)) #s(literal -1/8 binary64))) (-.f64 (+.f64 (*.f64 (log.f64 u1) #s(literal -1/18 binary64)) #s(literal 1/4 binary64)) (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal -1/12 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (*.f64 (log.f64 u1) #s(literal -1/18 binary64)) #s(literal 3/2 binary64)) #s(literal -1/8 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 (+.f64 (*.f64 (log.f64 u1) #s(literal -1/18 binary64)) #s(literal 1/4 binary64)) (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal -1/12 binary64)))) #s(literal -1 binary64)))

simplify591.0ms (4.4%)

Memory
12.0MiB live, 760.0MiB allocated
Algorithm
1×egg-herbie
Rules
13 240×accelerator-lowering-fma.f32
13 240×accelerator-lowering-fma.f64
5 840×*-lowering-*.f32
5 840×*-lowering-*.f64
4 248×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01804708
15054528
216394428
321804376
434684364
546854364
664724364
080774166
Stop Event
1×iter limit
1×node limit
Counts
324 → 324
Calls
Call 1
Inputs
(+ 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)))))
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (sqrt 2))) (sqrt (log 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))))))
(+ 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)))) (* (sqrt -1) (sqrt 2))) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))))
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (sqrt 2))) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))))
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (sqrt 2))) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))))
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (sqrt 2))) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))))
(+ 1/2 (* 1/6 (* (sqrt (log u1)) (* (sqrt -1) (sqrt 2)))))
(+ 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))))))
(+ 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))))))))
(+ 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))))))))))
(+ 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)))))
(+ 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)))))
(+ 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)))))
(* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (sqrt 2))) (sqrt (log u1))))
(* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (sqrt 2))) (sqrt (log u1))))
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(* (sqrt -1) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))
(* (sqrt -1) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))
(* (sqrt -1) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))
(* (sqrt -1) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))
(log u1)
(log u1)
(log u1)
(log u1)
(* -1 (log (/ 1 u1)))
(* -1 (log (/ 1 u1)))
(* -1 (log (/ 1 u1)))
(* -1 (log (/ 1 u1)))
(+ (log -1) (* -1 (log (/ -1 u1))))
(+ (log -1) (* -1 (log (/ -1 u1))))
(+ (log -1) (* -1 (log (/ -1 u1))))
(+ (log -1) (* -1 (log (/ -1 u1))))
(* u2 (PI))
(* u2 (PI))
(* u2 (PI))
(* u2 (PI))
(* u2 (PI))
(* u2 (PI))
(* u2 (PI))
(* u2 (PI))
(* u2 (PI))
(* u2 (PI))
(* u2 (PI))
(* u2 (PI))
(/ 1 (- (* 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))
Outputs
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (sqrt 2))) (sqrt (log u1)))))
(+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 u2 (PI.f64)))) (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (log.f64 u1))))))
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (sqrt 2))) (sqrt (log u1)))))
(+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 u2 (PI.f64)))) (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (log.f64 u1))))))
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (sqrt 2))) (sqrt (log u1)))))
(+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 u2 (PI.f64)))) (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (log.f64 u1))))))
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (sqrt 2))) (sqrt (log u1)))))
(+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 u2 (PI.f64)))) (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (log.f64 u1))))))
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (pow (sqrt -1) 2) (sqrt 2))) (sqrt (log (/ 1 u1))))))
(+.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (log.f64 u1))) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -1/6 binary64)) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 u2 (PI.f64)))))))
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (pow (sqrt -1) 2) (sqrt 2))) (sqrt (log (/ 1 u1))))))
(+.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (log.f64 u1))) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -1/6 binary64)) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 u2 (PI.f64)))))))
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (pow (sqrt -1) 2) (sqrt 2))) (sqrt (log (/ 1 u1))))))
(+.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (log.f64 u1))) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -1/6 binary64)) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 u2 (PI.f64)))))))
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (pow (sqrt -1) 2) (sqrt 2))) (sqrt (log (/ 1 u1))))))
(+.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (log.f64 u1))) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -1/6 binary64)) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 u2 (PI.f64)))))))
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (sqrt 2))) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 u2 (PI.f64)))))) (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 -1) (sqrt 2))) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 u2 (PI.f64)))))) (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 -1) (sqrt 2))) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 u2 (PI.f64)))))) (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 -1) (sqrt 2))) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 u2 (PI.f64)))))) (sqrt.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) u1)))))))
(+ 1/2 (* 1/6 (* (sqrt (log u1)) (* (sqrt -1) (sqrt 2)))))
(+.f64 #s(literal 1/2 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)))))
(+ 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))))))
(+.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (log.f64 u1)) (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 2 binary64))) (+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal -1/3 binary64) (*.f64 u2 (*.f64 u2 (*.f64 (PI.f64) (PI.f64)))))))))
(+ 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))))))))
(+.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (log.f64 u1)) (+.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (*.f64 u2 u2) (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 2 binary64))) (+.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 (PI.f64) (PI.f64))) (*.f64 #s(literal 1/9 binary64) (*.f64 (*.f64 u2 u2) (pow.f64 (PI.f64) #s(literal 4 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))))))))))
(+.f64 #s(literal 1/2 binary64) (+.f64 (*.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))) (+.f64 (*.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))))))) (*.f64 (sqrt.f64 (log.f64 u1)) (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 2 binary64))) (+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal -1/3 binary64) (*.f64 u2 (*.f64 u2 (*.f64 (PI.f64) (PI.f64))))))))))
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (sqrt 2))) (sqrt (log u1)))))
(+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 u2 (PI.f64)))) (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (log.f64 u1))))))
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (sqrt 2))) (sqrt (log u1)))))
(+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 u2 (PI.f64)))) (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (log.f64 u1))))))
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (sqrt 2))) (sqrt (log u1)))))
(+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 u2 (PI.f64)))) (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (log.f64 u1))))))
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (sqrt 2))) (sqrt (log u1)))))
(+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 u2 (PI.f64)))) (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (log.f64 u1))))))
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (sqrt 2))) (sqrt (log u1)))))
(+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 u2 (PI.f64)))) (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (log.f64 u1))))))
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (sqrt 2))) (sqrt (log u1)))))
(+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 u2 (PI.f64)))) (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (log.f64 u1))))))
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (sqrt 2))) (sqrt (log u1)))))
(+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 u2 (PI.f64)))) (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (log.f64 u1))))))
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (sqrt 2))) (sqrt (log u1)))))
(+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 u2 (PI.f64)))) (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (log.f64 u1))))))
(* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (sqrt 2))) (sqrt (log u1))))
(*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 u2 (PI.f64)))) (*.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)))))
(* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (sqrt 2))) (sqrt (log u1))))
(*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 u2 (PI.f64)))) (*.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)))))
(* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (sqrt 2))) (sqrt (log u1))))
(*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 u2 (PI.f64)))) (*.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)))))
(* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (sqrt 2))) (sqrt (log u1))))
(*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 u2 (PI.f64)))) (*.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)))))
(* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (pow (sqrt -1) 2) (sqrt 2))) (sqrt (log (/ 1 u1)))))
(*.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (log.f64 u1))) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -1/6 binary64)) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 u2 (PI.f64))))))
(* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (pow (sqrt -1) 2) (sqrt 2))) (sqrt (log (/ 1 u1)))))
(*.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (log.f64 u1))) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -1/6 binary64)) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 u2 (PI.f64))))))
(* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (pow (sqrt -1) 2) (sqrt 2))) (sqrt (log (/ 1 u1)))))
(*.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (log.f64 u1))) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -1/6 binary64)) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 u2 (PI.f64))))))
(* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (pow (sqrt -1) 2) (sqrt 2))) (sqrt (log (/ 1 u1)))))
(*.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (log.f64 u1))) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -1/6 binary64)) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 u2 (PI.f64))))))
(* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (sqrt 2))) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))))
(*.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 u2 (PI.f64)))))) (sqrt.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) u1))))))
(* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (sqrt 2))) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))))
(*.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 u2 (PI.f64)))))) (sqrt.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) u1))))))
(* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (sqrt 2))) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))))
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(* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (sqrt 2))) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))))
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(* 1/6 (* (sqrt (log u1)) (* (sqrt -1) (sqrt 2))))
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(*.f64 (sqrt.f64 (log.f64 u1)) (+.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (*.f64 u2 u2) (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 2 binary64))) (+.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 (PI.f64) (PI.f64))) (*.f64 #s(literal 1/9 binary64) (*.f64 (*.f64 u2 u2) (pow.f64 (PI.f64) #s(literal 4 binary64)))))))))
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(* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (sqrt 2))) (sqrt (log u1))))
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(+.f64 (*.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (log.f64 u1))) (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -2 binary64))) #s(literal 1/6 binary64))) #s(literal -1/2 binary64))
(- (* 1/6 (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1)))) 1/2)
(+.f64 (*.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (log.f64 u1))) (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -2 binary64))) #s(literal 1/6 binary64))) #s(literal -1/2 binary64))
(- (* 1/6 (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1)))) 1/2)
(+.f64 (*.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (log.f64 u1))) (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -2 binary64))) #s(literal 1/6 binary64))) #s(literal -1/2 binary64))
(- (* 1/6 (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1)))) 1/2)
(+.f64 (*.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (log.f64 u1))) (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -2 binary64))) #s(literal 1/6 binary64))) #s(literal -1/2 binary64))
(- (* 1/6 (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))) 1/2)
(+.f64 (*.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)
(+.f64 (*.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)
(+.f64 (*.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)
(+.f64 (*.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))
(* 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)))
(* (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))))))
(*.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)))))
(log u1)
(log.f64 u1)
(log u1)
(log.f64 u1)
(log u1)
(log.f64 u1)
(log u1)
(log.f64 u1)
(* -1 (log (/ 1 u1)))
(log.f64 u1)
(* -1 (log (/ 1 u1)))
(log.f64 u1)
(* -1 (log (/ 1 u1)))
(log.f64 u1)
(* -1 (log (/ 1 u1)))
(log.f64 u1)
(+ (log -1) (* -1 (log (/ -1 u1))))
(-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) u1)))
(+ (log -1) (* -1 (log (/ -1 u1))))
(-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) u1)))
(+ (log -1) (* -1 (log (/ -1 u1))))
(-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) u1)))
(+ (log -1) (* -1 (log (/ -1 u1))))
(-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) u1)))
(* u2 (PI))
(*.f64 u2 (PI.f64))
(* u2 (PI))
(*.f64 u2 (PI.f64))
(* u2 (PI))
(*.f64 u2 (PI.f64))
(* u2 (PI))
(*.f64 u2 (PI.f64))
(* u2 (PI))
(*.f64 u2 (PI.f64))
(* u2 (PI))
(*.f64 u2 (PI.f64))
(* u2 (PI))
(*.f64 u2 (PI.f64))
(* u2 (PI))
(*.f64 u2 (PI.f64))
(* u2 (PI))
(*.f64 u2 (PI.f64))
(* u2 (PI))
(*.f64 u2 (PI.f64))
(* u2 (PI))
(*.f64 u2 (PI.f64))
(* u2 (PI))
(*.f64 u2 (PI.f64))
(/ 1 (- (* 1/6 (* (sqrt (log u1)) (sqrt -2))) 1/2))
(/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (log.f64 u1)) (*.f64 (sqrt.f64 #s(literal -2 binary64)) #s(literal -1/6 binary64)))))
(/ 1 (- (* 1/6 (* (sqrt (log u1)) (sqrt -2))) 1/2))
(/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (log.f64 u1)) (*.f64 (sqrt.f64 #s(literal -2 binary64)) #s(literal -1/6 binary64)))))
(/ 1 (- (* 1/6 (* (sqrt (log u1)) (sqrt -2))) 1/2))
(/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (log.f64 u1)) (*.f64 (sqrt.f64 #s(literal -2 binary64)) #s(literal -1/6 binary64)))))
(/ 1 (- (* 1/6 (* (sqrt (log u1)) (sqrt -2))) 1/2))
(/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (log.f64 u1)) (*.f64 (sqrt.f64 #s(literal -2 binary64)) #s(literal -1/6 binary64)))))
(/ 1 (- (* 1/6 (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1)))) 1/2))
(/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (log.f64 u1))) (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -2 binary64))) #s(literal -1/6 binary64)))))
(/ 1 (- (* 1/6 (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1)))) 1/2))
(/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (log.f64 u1))) (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -2 binary64))) #s(literal -1/6 binary64)))))
(/ 1 (- (* 1/6 (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1)))) 1/2))
(/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (log.f64 u1))) (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -2 binary64))) #s(literal -1/6 binary64)))))
(/ 1 (- (* 1/6 (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1)))) 1/2))
(/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (log.f64 u1))) (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -2 binary64))) #s(literal -1/6 binary64)))))
(/ 1 (- (* 1/6 (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))) 1/2))
(/.f64 #s(literal 1 binary64) (+.f64 (*.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 (- (* 1/6 (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))) 1/2))
(/.f64 #s(literal 1 binary64) (+.f64 (*.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 (- (* 1/6 (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))) 1/2))
(/.f64 #s(literal 1 binary64) (+.f64 (*.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 (- (* 1/6 (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))) 1/2))
(/.f64 #s(literal 1 binary64) (+.f64 (*.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)))

eval318.0ms (2.4%)

Memory
49.4MiB live, 703.0MiB allocated
Compiler

Compiled 67 099 to 3 974 computations (94.1% saved)

prune224.0ms (1.7%)

Memory
12.6MiB live, 598.1MiB allocated
Pruning

17 alts after pruning (14 fresh and 3 done)

PrunedKeptTotal
New2 249122 261
Fresh527
Picked325
Done011
Total2 257172 274
Accuracy
100.0%
Counts
2 274 → 17
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓99.4%
(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))
98.1%
(pow.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))))) #s(literal 1/2 binary64)) #s(literal 2 binary64))
▶98.2%
(/.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1/4 binary64) (*.f64 (log.f64 u1) #s(literal -1/18 binary64)))))
98.3%
(/.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 (log.f64 u1) #s(literal -1/18 binary64))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))))))
98.1%
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1/4 binary64) (*.f64 (log.f64 u1) #s(literal -1/18 binary64)))) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))))))))
98.1%
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))))) (-.f64 #s(literal 1/4 binary64) (*.f64 (log.f64 u1) #s(literal -1/18 binary64)))))
▶98.4%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)))))))
98.2%
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1/4 binary64) (*.f64 (log.f64 u1) #s(literal -1/18 binary64)))) (+.f64 (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)))) #s(literal -1/2 binary64))))
99.0%
(-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 u2 u2) (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal -2 binary64))))) (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal 1/6 binary64))) #s(literal -1/2 binary64))
✓99.4%
(-.f64 (*.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))
▶99.3%
(+.f64 (pow.f64 (*.f64 (*.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #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 (PI.f64) u2))))))) #s(literal 1/2 binary64)) #s(literal 1/2 binary64))
98.3%
(+.f64 (*.f64 (pow.f64 (pow.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)) #s(literal 1/4 binary64)) #s(literal 2 binary64)) #s(literal 1/6 binary64)) #s(literal 1/2 binary64))
99.2%
(+.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (log.f64 (/.f64 #s(literal 1 binary64) u1)))) (cos.f64 (*.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) u2))) #s(literal 1/2 binary64))
✓98.5%
(+.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal 1/6 binary64)) #s(literal 1/2 binary64))
▶98.1%
(+.f64 (*.f64 (exp.f64 (*.f64 (log.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal 1/2 binary64))) #s(literal 1/6 binary64)) #s(literal 1/2 binary64))
98.6%
(+.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 1/2 binary64))
▶98.2%
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)))))) (-.f64 #s(literal 1/4 binary64) (*.f64 (log.f64 u1) #s(literal -1/18 binary64))))
Compiler

Compiled 580 to 491 computations (15.3% saved)

simplify943.0ms (7%)

Memory
-49.7MiB live, 949.6MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(*.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))))
✓cost-diff0
(-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)))))
✓cost-diff0
(/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))))))
✓cost-diff256
(/.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1/4 binary64) (*.f64 (log.f64 u1) #s(literal -1/18 binary64)))))
✓cost-diff0
(*.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))))
✓cost-diff0
(-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)))))
✓cost-diff0
(/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))))))
✓cost-diff128
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)))))) (-.f64 #s(literal 1/4 binary64) (*.f64 (log.f64 u1) #s(literal -1/18 binary64))))
✓cost-diff0
(*.f64 (log.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal 1/2 binary64))
✓cost-diff0
(*.f64 (exp.f64 (*.f64 (log.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal 1/2 binary64))) #s(literal 1/6 binary64))
✓cost-diff0
(+.f64 (*.f64 (exp.f64 (*.f64 (log.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal 1/2 binary64))) #s(literal 1/6 binary64)) #s(literal 1/2 binary64))
✓cost-diff6464
(exp.f64 (*.f64 (log.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal 1/2 binary64)))
✓cost-diff0
(*.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))))
✓cost-diff0
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)))))
✓cost-diff0
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))))))
✓cost-diff256
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)))))))
✓cost-diff64
(pow.f64 (*.f64 (*.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #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 (PI.f64) u2))))))) #s(literal 1/2 binary64))
✓cost-diff128
(*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))
✓cost-diff128
(*.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/36 binary64))
✓cost-diff128
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #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 (PI.f64) u2)))))))
Rules
18 444×accelerator-lowering-fma.f32
18 444×accelerator-lowering-fma.f64
4 536×*-lowering-*.f32
4 536×*-lowering-*.f64
1 340×times-frac
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
045365
1104349
2261343
3678343
41623343
52254343
63585343
75406343
86267343
96626343
106858343
117011343
127200343
137731343
147794343
157855343
167855343
177855343
08194324
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(+ (pow (* (* (* -2 (log u1)) 1/36) (+ 1/2 (* 1/2 (cos (* 2 (* 2 (* (PI) u2))))))) 1/2) 1/2)
(pow (* (* (* -2 (log u1)) 1/36) (+ 1/2 (* 1/2 (cos (* 2 (* 2 (* (PI) u2))))))) 1/2)
(* (* (* -2 (log u1)) 1/36) (+ 1/2 (* 1/2 (cos (* 2 (* 2 (* (PI) u2)))))))
(* (* -2 (log u1)) 1/36)
(* -2 (log u1))
-2
(log u1)
u1
1/36
(+ 1/2 (* 1/2 (cos (* 2 (* 2 (* (PI) u2))))))
1/2
(* 1/2 (cos (* 2 (* 2 (* (PI) u2)))))
(cos (* 2 (* 2 (* (PI) u2))))
(* 2 (* 2 (* (PI) u2)))
2
(* 2 (* (PI) u2))
(* (PI) u2)
(PI)
u2
(/ 1 (/ 1 (+ 1/2 (* 1/6 (sqrt (* (log u1) -2))))))
1
(/ 1 (+ 1/2 (* 1/6 (sqrt (* (log u1) -2)))))
(+ 1/2 (* 1/6 (sqrt (* (log u1) -2))))
1/2
(* 1/6 (sqrt (* (log u1) -2)))
1/6
(sqrt (* (log u1) -2))
(* (log u1) -2)
(log u1)
u1
-2
(+ (* (exp (* (log (* (log u1) -2)) 1/2)) 1/6) 1/2)
(* (exp (* (log (* (log u1) -2)) 1/2)) 1/6)
(exp (* (log (* (log u1) -2)) 1/2))
(* (log (* (log u1) -2)) 1/2)
(log (* (log u1) -2))
(* (log u1) -2)
(log u1)
u1
-2
1/2
1/6
(* (/ 1 (- 1/2 (* 1/6 (sqrt (* (log u1) -2))))) (- 1/4 (* (log u1) -1/18)))
(/ 1 (- 1/2 (* 1/6 (sqrt (* (log u1) -2)))))
1
(- 1/2 (* 1/6 (sqrt (* (log u1) -2))))
1/2
(* 1/6 (sqrt (* (log u1) -2)))
1/6
(sqrt (* (log u1) -2))
(* (log u1) -2)
(log u1)
u1
-2
(- 1/4 (* (log u1) -1/18))
1/4
(* (log u1) -1/18)
-1/18
(/ (/ -1 (- 1/2 (* 1/6 (sqrt (* (log u1) -2))))) (/ 1 (+ -1/4 (* (log u1) -1/18))))
(/ -1 (- 1/2 (* 1/6 (sqrt (* (log u1) -2)))))
-1
(- 1/2 (* 1/6 (sqrt (* (log u1) -2))))
1/2
(* 1/6 (sqrt (* (log u1) -2)))
1/6
(sqrt (* (log u1) -2))
(* (log u1) -2)
(log u1)
u1
-2
(/ 1 (+ -1/4 (* (log u1) -1/18)))
1
(+ -1/4 (* (log u1) -1/18))
-1/4
(* (log u1) -1/18)
-1/18
Outputs
(+ (pow (* (* (* -2 (log u1)) 1/36) (+ 1/2 (* 1/2 (cos (* 2 (* 2 (* (PI) u2))))))) 1/2) 1/2)
(+.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (*.f64 (log.f64 u1) #s(literal 1/36 binary64)) (-.f64 #s(literal -1 binary64) (cos.f64 (*.f64 (*.f64 (PI.f64) u2) #s(literal 4 binary64)))))))
(pow (* (* (* -2 (log u1)) 1/36) (+ 1/2 (* 1/2 (cos (* 2 (* 2 (* (PI) u2))))))) 1/2)
(sqrt.f64 (*.f64 (*.f64 (log.f64 u1) #s(literal 1/36 binary64)) (-.f64 #s(literal -1 binary64) (cos.f64 (*.f64 (*.f64 (PI.f64) u2) #s(literal 4 binary64))))))
(* (* (* -2 (log u1)) 1/36) (+ 1/2 (* 1/2 (cos (* 2 (* 2 (* (PI) u2)))))))
(*.f64 (*.f64 (log.f64 u1) #s(literal 1/36 binary64)) (-.f64 #s(literal -1 binary64) (cos.f64 (*.f64 (*.f64 (PI.f64) u2) #s(literal 4 binary64)))))
(* (* -2 (log u1)) 1/36)
(*.f64 (log.f64 u1) #s(literal -1/18 binary64))
(* -2 (log u1))
(*.f64 #s(literal -2 binary64) (log.f64 u1))
-2
#s(literal -2 binary64)
(log u1)
(log.f64 u1)
u1
1/36
#s(literal 1/36 binary64)
(+ 1/2 (* 1/2 (cos (* 2 (* 2 (* (PI) u2))))))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 (*.f64 (PI.f64) u2) #s(literal 4 binary64)))))
1/2
#s(literal 1/2 binary64)
(* 1/2 (cos (* 2 (* 2 (* (PI) u2)))))
(*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 (*.f64 (PI.f64) u2) #s(literal 4 binary64))))
(cos (* 2 (* 2 (* (PI) u2))))
(cos.f64 (*.f64 (*.f64 (PI.f64) u2) #s(literal 4 binary64)))
(* 2 (* 2 (* (PI) u2)))
(*.f64 (*.f64 (PI.f64) u2) #s(literal 4 binary64))
2
#s(literal 2 binary64)
(* 2 (* (PI) u2))
(*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))
(* (PI) u2)
(*.f64 (PI.f64) u2)
(PI)
(PI.f64)
u2
(/ 1 (/ 1 (+ 1/2 (* 1/6 (sqrt (* (log u1) -2))))))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/2 binary64))))
1
#s(literal 1 binary64)
(/ 1 (+ 1/2 (* 1/6 (sqrt (* (log u1) -2)))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/2 binary64)))))
(+ 1/2 (* 1/6 (sqrt (* (log u1) -2))))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/2 binary64))))
1/2
#s(literal 1/2 binary64)
(* 1/6 (sqrt (* (log u1) -2)))
(*.f64 #s(literal 1/6 binary64) (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/2 binary64)))
1/6
#s(literal 1/6 binary64)
(sqrt (* (log u1) -2))
(pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/2 binary64))
(* (log u1) -2)
(*.f64 #s(literal -2 binary64) (log.f64 u1))
(log u1)
(log.f64 u1)
u1
-2
#s(literal -2 binary64)
(+ (* (exp (* (log (* (log u1) -2)) 1/2)) 1/6) 1/2)
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/2 binary64))))
(* (exp (* (log (* (log u1) -2)) 1/2)) 1/6)
(*.f64 #s(literal 1/6 binary64) (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/2 binary64)))
(exp (* (log (* (log u1) -2)) 1/2))
(pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/2 binary64))
(* (log (* (log u1) -2)) 1/2)
(*.f64 #s(literal 1/2 binary64) (log.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))))
(log (* (log u1) -2))
(log.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)))
(* (log u1) -2)
(*.f64 #s(literal -2 binary64) (log.f64 u1))
(log u1)
(log.f64 u1)
u1
-2
#s(literal -2 binary64)
1/2
#s(literal 1/2 binary64)
1/6
#s(literal 1/6 binary64)
(* (/ 1 (- 1/2 (* 1/6 (sqrt (* (log u1) -2))))) (- 1/4 (* (log u1) -1/18)))
(/.f64 (+.f64 #s(literal 1/4 binary64) (*.f64 (log.f64 u1) #s(literal 1/18 binary64))) (+.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/2 binary64)) #s(literal -1/6 binary64))))
(/ 1 (- 1/2 (* 1/6 (sqrt (* (log u1) -2)))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/2 binary64)) #s(literal -1/6 binary64))))
1
#s(literal 1 binary64)
(- 1/2 (* 1/6 (sqrt (* (log u1) -2))))
(+.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/2 binary64)) #s(literal -1/6 binary64)))
1/2
#s(literal 1/2 binary64)
(* 1/6 (sqrt (* (log u1) -2)))
(*.f64 #s(literal 1/6 binary64) (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/2 binary64)))
1/6
#s(literal 1/6 binary64)
(sqrt (* (log u1) -2))
(pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/2 binary64))
(* (log u1) -2)
(*.f64 #s(literal -2 binary64) (log.f64 u1))
(log u1)
(log.f64 u1)
u1
-2
#s(literal -2 binary64)
(- 1/4 (* (log u1) -1/18))
(+.f64 #s(literal 1/4 binary64) (*.f64 (log.f64 u1) #s(literal 1/18 binary64)))
1/4
#s(literal 1/4 binary64)
(* (log u1) -1/18)
(*.f64 (log.f64 u1) #s(literal -1/18 binary64))
-1/18
#s(literal -1/18 binary64)
(/ (/ -1 (- 1/2 (* 1/6 (sqrt (* (log u1) -2))))) (/ 1 (+ -1/4 (* (log u1) -1/18))))
(/.f64 (+.f64 #s(literal 1/4 binary64) (*.f64 (log.f64 u1) #s(literal 1/18 binary64))) (+.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/2 binary64)) #s(literal -1/6 binary64))))
(/ -1 (- 1/2 (* 1/6 (sqrt (* (log u1) -2)))))
(/.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/2 binary64))) #s(literal -1/2 binary64)))
-1
#s(literal -1 binary64)
(- 1/2 (* 1/6 (sqrt (* (log u1) -2))))
(+.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/2 binary64)) #s(literal -1/6 binary64)))
1/2
#s(literal 1/2 binary64)
(* 1/6 (sqrt (* (log u1) -2)))
(*.f64 #s(literal 1/6 binary64) (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/2 binary64)))
1/6
#s(literal 1/6 binary64)
(sqrt (* (log u1) -2))
(pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/2 binary64))
(* (log u1) -2)
(*.f64 #s(literal -2 binary64) (log.f64 u1))
(log u1)
(log.f64 u1)
u1
-2
#s(literal -2 binary64)
(/ 1 (+ -1/4 (* (log u1) -1/18)))
(/.f64 #s(literal 1 binary64) (+.f64 (*.f64 (log.f64 u1) #s(literal -1/18 binary64)) #s(literal -1/4 binary64)))
1
#s(literal 1 binary64)
(+ -1/4 (* (log u1) -1/18))
(+.f64 (*.f64 (log.f64 u1) #s(literal -1/18 binary64)) #s(literal -1/4 binary64))
-1/4
#s(literal -1/4 binary64)
(* (log u1) -1/18)
(*.f64 (log.f64 u1) #s(literal -1/18 binary64))
-1/18
#s(literal -1/18 binary64)

localize245.0ms (1.8%)

Memory
20.3MiB live, 452.1MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
✓accuracy99.5%
(/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))))))
✓accuracy99.5%
(/.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1/4 binary64) (*.f64 (log.f64 u1) #s(literal -1/18 binary64)))))
✓accuracy99.5%
(*.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))))
✓accuracy99.4%
(*.f64 (log.f64 u1) #s(literal -1/18 binary64))
✓accuracy99.5%
(/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))))))
✓accuracy99.5%
(*.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))))
✓accuracy99.4%
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)))))) (-.f64 #s(literal 1/4 binary64) (*.f64 (log.f64 u1) #s(literal -1/18 binary64))))
✓accuracy99.4%
(*.f64 (log.f64 u1) #s(literal -1/18 binary64))
✓accuracy99.9%
(log.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)))
✓accuracy99.9%
(+.f64 (*.f64 (exp.f64 (*.f64 (log.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal 1/2 binary64))) #s(literal 1/6 binary64)) #s(literal 1/2 binary64))
✓accuracy99.5%
(*.f64 (exp.f64 (*.f64 (log.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal 1/2 binary64))) #s(literal 1/6 binary64))
✓accuracy99.0%
(exp.f64 (*.f64 (log.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal 1/2 binary64)))
✓accuracy99.7%
(sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)))
✓accuracy99.6%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)))))))
✓accuracy99.6%
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))))))
✓accuracy99.5%
(*.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))))
✓accuracy99.9%
(+.f64 (pow.f64 (*.f64 (*.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #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 (PI.f64) u2))))))) #s(literal 1/2 binary64)) #s(literal 1/2 binary64))
✓accuracy99.8%
(pow.f64 (*.f64 (*.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #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 (PI.f64) u2))))))) #s(literal 1/2 binary64))
✓accuracy99.6%
(*.f64 (PI.f64) u2)
✓accuracy99.4%
(*.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/36 binary64))
Samples
97.0ms256×0valid
Compiler

Compiled 394 to 47 computations (88.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 66.0ms
ival-mult: 21.0ms (31.7% of total)
const: 10.0ms (15.1% of total)
ival-div: 9.0ms (13.6% of total)
ival-log: 7.0ms (10.6% of total)
ival-add: 6.0ms (9.1% of total)
ival-exp: 3.0ms (4.5% of total)
ival-sqrt: 3.0ms (4.5% of total)
ival-sub: 2.0ms (3% of total)
ival-cos: 2.0ms (3% of total)
ival-pi: 1.0ms (1.5% of total)
exact: 1.0ms (1.5% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series79.0ms (0.6%)

Memory
-0.4MiB live, 154.9MiB allocated
Counts
22 → 300
Calls
Call 1
Inputs
#<alt (* (* (* -2 (log u1)) 1/36) (+ 1/2 (* 1/2 (cos (* 2 (* 2 (* (PI) u2)))))))>
#<alt (* (* -2 (log u1)) 1/36)>
#<alt (* 2 (* 2 (* (PI) u2)))>
#<alt (pow (* (* (* -2 (log u1)) 1/36) (+ 1/2 (* 1/2 (cos (* 2 (* 2 (* (PI) u2))))))) 1/2)>
#<alt (/ 1 (/ 1 (+ 1/2 (* 1/6 (sqrt (* (log u1) -2))))))>
#<alt (/ 1 (+ 1/2 (* 1/6 (sqrt (* (log u1) -2)))))>
#<alt (+ 1/2 (* 1/6 (sqrt (* (log u1) -2))))>
#<alt (* 1/6 (sqrt (* (log u1) -2)))>
#<alt (exp (* (log (* (log u1) -2)) 1/2))>
#<alt (+ (* (exp (* (log (* (log u1) -2)) 1/2)) 1/6) 1/2)>
#<alt (* (exp (* (log (* (log u1) -2)) 1/2)) 1/6)>
#<alt (* (log (* (log u1) -2)) 1/2)>
#<alt (* (/ 1 (- 1/2 (* 1/6 (sqrt (* (log u1) -2))))) (- 1/4 (* (log u1) -1/18)))>
#<alt (/ 1 (- 1/2 (* 1/6 (sqrt (* (log u1) -2)))))>
#<alt (- 1/2 (* 1/6 (sqrt (* (log u1) -2))))>
#<alt (/ (/ -1 (- 1/2 (* 1/6 (sqrt (* (log u1) -2))))) (/ 1 (+ -1/4 (* (log u1) -1/18))))>
#<alt (/ -1 (- 1/2 (* 1/6 (sqrt (* (log u1) -2)))))>
#<alt (* (PI) u2)>
#<alt (+ (pow (* (* (* -2 (log u1)) 1/36) (+ 1/2 (* 1/2 (cos (* 2 (* 2 (* (PI) u2))))))) 1/2) 1/2)>
#<alt (sqrt (* (log u1) -2))>
#<alt (log (* (log u1) -2))>
#<alt (* (log u1) -1/18)>
Outputs
#<alt (* -1/18 (* (log u1) (+ 1/2 (* 1/2 (cos (* 4 (* u2 (PI))))))))>
#<alt (* -1/18 (* (log u1) (+ 1/2 (* 1/2 (cos (* 4 (* u2 (PI))))))))>
#<alt (* -1/18 (* (log u1) (+ 1/2 (* 1/2 (cos (* 4 (* u2 (PI))))))))>
#<alt (* -1/18 (* (log u1) (+ 1/2 (* 1/2 (cos (* 4 (* u2 (PI))))))))>
#<alt (* 1/18 (* (log (/ 1 u1)) (+ 1/2 (* 1/2 (cos (* 4 (* u2 (PI))))))))>
#<alt (* 1/18 (* (log (/ 1 u1)) (+ 1/2 (* 1/2 (cos (* 4 (* u2 (PI))))))))>
#<alt (* 1/18 (* (log (/ 1 u1)) (+ 1/2 (* 1/2 (cos (* 4 (* u2 (PI))))))))>
#<alt (* 1/18 (* (log (/ 1 u1)) (+ 1/2 (* 1/2 (cos (* 4 (* u2 (PI))))))))>
#<alt (* -1/18 (* (+ 1/2 (* 1/2 (cos (* 4 (* u2 (PI)))))) (+ (log -1) (* -1 (log (/ -1 u1))))))>
#<alt (* -1/18 (* (+ 1/2 (* 1/2 (cos (* 4 (* u2 (PI)))))) (+ (log -1) (* -1 (log (/ -1 u1))))))>
#<alt (* -1/18 (* (+ 1/2 (* 1/2 (cos (* 4 (* u2 (PI)))))) (+ (log -1) (* -1 (log (/ -1 u1))))))>
#<alt (* -1/18 (* (+ 1/2 (* 1/2 (cos (* 4 (* u2 (PI)))))) (+ (log -1) (* -1 (log (/ -1 u1))))))>
#<alt (* -1/18 (log u1))>
#<alt (+ (* -1/18 (log u1)) (* 2/9 (* (pow u2 2) (* (pow (PI) 2) (log u1)))))>
#<alt (+ (* -1/18 (log u1)) (* (pow u2 2) (+ (* -8/27 (* (pow u2 2) (* (pow (PI) 4) (log u1)))) (* 2/9 (* (pow (PI) 2) (log u1))))))>
#<alt (+ (* -1/18 (log u1)) (* (pow u2 2) (+ (* 2/9 (* (pow (PI) 2) (log u1))) (* (pow u2 2) (+ (* -8/27 (* (pow (PI) 4) (log u1))) (* 64/405 (* (pow u2 2) (* (pow (PI) 6) (log u1)))))))))>
#<alt (* -1/18 (* (log u1) (+ 1/2 (* 1/2 (cos (* 4 (* u2 (PI))))))))>
#<alt (* -1/18 (* (log u1) (+ 1/2 (* 1/2 (cos (* 4 (* u2 (PI))))))))>
#<alt (* -1/18 (* (log u1) (+ 1/2 (* 1/2 (cos (* 4 (* u2 (PI))))))))>
#<alt (* -1/18 (* (log u1) (+ 1/2 (* 1/2 (cos (* 4 (* u2 (PI))))))))>
#<alt (* -1/18 (* (log u1) (+ 1/2 (* 1/2 (cos (* 4 (* u2 (PI))))))))>
#<alt (* -1/18 (* (log u1) (+ 1/2 (* 1/2 (cos (* 4 (* u2 (PI))))))))>
#<alt (* -1/18 (* (log u1) (+ 1/2 (* 1/2 (cos (* 4 (* u2 (PI))))))))>
#<alt (* -1/18 (* (log u1) (+ 1/2 (* 1/2 (cos (* 4 (* u2 (PI))))))))>
#<alt (* -1/18 (log u1))>
#<alt (* -1/18 (log u1))>
#<alt (* -1/18 (log u1))>
#<alt (* -1/18 (log u1))>
#<alt (* 1/18 (log (/ 1 u1)))>
#<alt (* 1/18 (log (/ 1 u1)))>
#<alt (* 1/18 (log (/ 1 u1)))>
#<alt (* 1/18 (log (/ 1 u1)))>
#<alt (* -1/18 (+ (log -1) (* -1 (log (/ -1 u1)))))>
#<alt (* -1/18 (+ (log -1) (* -1 (log (/ -1 u1)))))>
#<alt (* -1/18 (+ (log -1) (* -1 (log (/ -1 u1)))))>
#<alt (* -1/18 (+ (log -1) (* -1 (log (/ -1 u1)))))>
#<alt (* 4 (* u2 (PI)))>
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#<alt (+ 1/2 (+ (* (sqrt (log u1)) (sqrt -1/18)) (* (pow u2 2) (+ (* 1/9 (* (/ (pow (PI) 2) (sqrt -1/18)) (sqrt (log u1)))) (* (pow u2 2) (+ (* 1/2 (* (sqrt (/ 1 (log u1))) (/ (- (* -8/27 (* (pow (PI) 4) (log u1))) (* 1/81 (/ (* (pow (PI) 4) (log u1)) (pow (sqrt -1/18) 2)))) (sqrt -1/18)))) (* 1/2 (* (/ (* (pow u2 2) (- (* 64/405 (* (pow (PI) 6) (log u1))) (* 1/9 (/ (* (pow (PI) 2) (- (* -8/27 (* (pow (PI) 4) (log u1))) (* 1/81 (/ (* (pow (PI) 4) (log u1)) (pow (sqrt -1/18) 2))))) (pow (sqrt -1/18) 2))))) (sqrt -1/18)) (sqrt (/ 1 (log u1)))))))))))>
#<alt (+ 1/2 (* (sqrt (* (log u1) (+ 1/2 (* 1/2 (cos (* 4 (* u2 (PI)))))))) (sqrt -1/18)))>
#<alt (+ 1/2 (* (sqrt (* (log u1) (+ 1/2 (* 1/2 (cos (* 4 (* u2 (PI)))))))) (sqrt -1/18)))>
#<alt (+ 1/2 (* (sqrt (* (log u1) (+ 1/2 (* 1/2 (cos (* 4 (* u2 (PI)))))))) (sqrt -1/18)))>
#<alt (+ 1/2 (* (sqrt (* (log u1) (+ 1/2 (* 1/2 (cos (* 4 (* u2 (PI)))))))) (sqrt -1/18)))>
#<alt (+ 1/2 (* (sqrt (* (log u1) (+ 1/2 (* 1/2 (cos (* 4 (* u2 (PI)))))))) (sqrt -1/18)))>
#<alt (+ 1/2 (* (sqrt (* (log u1) (+ 1/2 (* 1/2 (cos (* 4 (* u2 (PI)))))))) (sqrt -1/18)))>
#<alt (+ 1/2 (* (sqrt (* (log u1) (+ 1/2 (* 1/2 (cos (* 4 (* u2 (PI)))))))) (sqrt -1/18)))>
#<alt (+ 1/2 (* (sqrt (* (log u1) (+ 1/2 (* 1/2 (cos (* 4 (* u2 (PI)))))))) (sqrt -1/18)))>
#<alt (* (sqrt (log u1)) (sqrt -2))>
#<alt (* (sqrt (log u1)) (sqrt -2))>
#<alt (* (sqrt (log u1)) (sqrt -2))>
#<alt (* (sqrt (log u1)) (sqrt -2))>
#<alt (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1)))>
#<alt (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1)))>
#<alt (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1)))>
#<alt (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1)))>
#<alt (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))>
#<alt (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))>
#<alt (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))>
#<alt (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))>
#<alt (log (* -2 (log u1)))>
#<alt (log (* -2 (log u1)))>
#<alt (log (* -2 (log u1)))>
#<alt (log (* -2 (log u1)))>
#<alt (log (* 2 (log (/ 1 u1))))>
#<alt (log (* 2 (log (/ 1 u1))))>
#<alt (log (* 2 (log (/ 1 u1))))>
#<alt (log (* 2 (log (/ 1 u1))))>
#<alt (log (* -2 (+ (log -1) (* -1 (log (/ -1 u1))))))>
#<alt (log (* -2 (+ (log -1) (* -1 (log (/ -1 u1))))))>
#<alt (log (* -2 (+ (log -1) (* -1 (log (/ -1 u1))))))>
#<alt (log (* -2 (+ (log -1) (* -1 (log (/ -1 u1))))))>
#<alt (* -1/18 (log u1))>
#<alt (* -1/18 (log u1))>
#<alt (* -1/18 (log u1))>
#<alt (* -1/18 (log u1))>
#<alt (* 1/18 (log (/ 1 u1)))>
#<alt (* 1/18 (log (/ 1 u1)))>
#<alt (* 1/18 (log (/ 1 u1)))>
#<alt (* 1/18 (log (/ 1 u1)))>
#<alt (* -1/18 (+ (log -1) (* -1 (log (/ -1 u1)))))>
#<alt (* -1/18 (+ (log -1) (* -1 (log (/ -1 u1)))))>
#<alt (* -1/18 (+ (log -1) (* -1 (log (/ -1 u1)))))>
#<alt (* -1/18 (+ (log -1) (* -1 (log (/ -1 u1)))))>
Calls

75 calls:

TimeVariablePointExpression
50.0ms
u1
@inf
(/ 1 (- 1/2 (* 1/6 (sqrt (* (log u1) -2)))))
4.0ms
u1
@-inf
(* (* (* -2 (log u1)) 1/36) (+ 1/2 (* 1/2 (cos (* 2 (* 2 (* (PI) u2)))))))
2.0ms
u1
@0
(* (* (* -2 (log u1)) 1/36) (+ 1/2 (* 1/2 (cos (* 2 (* 2 (* (PI) u2)))))))
1.0ms
u1
@inf
(/ (/ -1 (- 1/2 (* 1/6 (sqrt (* (log u1) -2))))) (/ 1 (+ -1/4 (* (log u1) -1/18))))
1.0ms
u2
@-inf
(* (* (* -2 (log u1)) 1/36) (+ 1/2 (* 1/2 (cos (* 2 (* 2 (* (PI) u2)))))))

rewrite497.0ms (3.7%)

Memory
1.0MiB live, 884.9MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
3 802×*-lowering-*.f32
3 802×*-lowering-*.f64
3 586×/-lowering-/.f32
3 586×/-lowering-/.f64
3 482×accelerator-lowering-fma.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
045198
1252182
21744158
08563157
Stop Event
1×iter limit
1×node limit
Counts
22 → 1 674
Calls
Call 1
Inputs
(* (* (* -2 (log u1)) 1/36) (+ 1/2 (* 1/2 (cos (* 2 (* 2 (* (PI) u2)))))))
(* (* -2 (log u1)) 1/36)
(* 2 (* 2 (* (PI) u2)))
(pow (* (* (* -2 (log u1)) 1/36) (+ 1/2 (* 1/2 (cos (* 2 (* 2 (* (PI) u2))))))) 1/2)
(/ 1 (/ 1 (+ 1/2 (* 1/6 (sqrt (* (log u1) -2))))))
(/ 1 (+ 1/2 (* 1/6 (sqrt (* (log u1) -2)))))
(+ 1/2 (* 1/6 (sqrt (* (log u1) -2))))
(* 1/6 (sqrt (* (log u1) -2)))
(exp (* (log (* (log u1) -2)) 1/2))
(+ (* (exp (* (log (* (log u1) -2)) 1/2)) 1/6) 1/2)
(* (exp (* (log (* (log u1) -2)) 1/2)) 1/6)
(* (log (* (log u1) -2)) 1/2)
(* (/ 1 (- 1/2 (* 1/6 (sqrt (* (log u1) -2))))) (- 1/4 (* (log u1) -1/18)))
(/ 1 (- 1/2 (* 1/6 (sqrt (* (log u1) -2)))))
(- 1/2 (* 1/6 (sqrt (* (log u1) -2))))
(/ (/ -1 (- 1/2 (* 1/6 (sqrt (* (log u1) -2))))) (/ 1 (+ -1/4 (* (log u1) -1/18))))
(/ -1 (- 1/2 (* 1/6 (sqrt (* (log u1) -2)))))
(* (PI) u2)
(+ (pow (* (* (* -2 (log u1)) 1/36) (+ 1/2 (* 1/2 (cos (* 2 (* 2 (* (PI) u2))))))) 1/2) 1/2)
(sqrt (* (log u1) -2))
(log (* (log u1) -2))
(* (log u1) -1/18)
Outputs
(+.f64 (*.f64 #s(literal -1 binary64) (*.f64 (log.f64 u1) #s(literal 1/36 binary64))) (*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 (*.f64 (PI.f64) u2) #s(literal 4 binary64))) (*.f64 (log.f64 u1) #s(literal -1/18 binary64)))))
(+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 (*.f64 (PI.f64) u2) #s(literal 4 binary64))) (*.f64 (log.f64 u1) #s(literal -1/18 binary64)))) (*.f64 #s(literal -1 binary64) (*.f64 (log.f64 u1) #s(literal 1/36 binary64))))
(exp.f64 (log.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 (*.f64 (PI.f64) u2) #s(literal 4 binary64))))) (*.f64 (log.f64 u1) #s(literal -1/18 binary64)))))
(exp.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 (*.f64 (PI.f64) u2) #s(literal 4 binary64))))) (*.f64 (log.f64 u1) #s(literal -1/18 binary64))))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 (*.f64 (PI.f64) u2) #s(literal 4 binary64))))) (*.f64 (log.f64 u1) #s(literal -1/18 binary64))) #s(literal 2 binary64))) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 (*.f64 (PI.f64) u2) #s(literal 4 binary64))))) (*.f64 (log.f64 u1) #s(literal -1/18 binary64)))) #s(literal 1 binary64)))
(fabs.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 (*.f64 (PI.f64) u2) #s(literal 4 binary64))))) (*.f64 (log.f64 u1) #s(literal -1/18 binary64))))
(-.f64 (/.f64 (pow.f64 (*.f64 #s(literal -1 binary64) (*.f64 (log.f64 u1) #s(literal 1/36 binary64))) #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1 binary64) (*.f64 (log.f64 u1) #s(literal 1/36 binary64))) (*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 (*.f64 (PI.f64) u2) #s(literal 4 binary64))) (*.f64 (log.f64 u1) #s(literal -1/18 binary64)))))) (/.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 (*.f64 (PI.f64) u2) #s(literal 4 binary64))) (*.f64 (log.f64 u1) #s(literal -1/18 binary64)))) #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1 binary64) (*.f64 (log.f64 u1) #s(literal 1/36 binary64))) (*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 (*.f64 (PI.f64) u2) #s(literal 4 binary64))) (*.f64 (log.f64 u1) #s(literal -1/18 binary64)))))))
(sqrt.f64 (pow.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 (*.f64 (PI.f64) u2) #s(literal 4 binary64))))) (*.f64 (log.f64 u1) #s(literal -1/18 binary64))) #s(literal 2 binary64)))
(fma.f64 #s(literal -2 binary64) (*.f64 (*.f64 (log.f64 u1) #s(literal 1/36 binary64)) #s(literal 1/2 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 (*.f64 (PI.f64) u2) #s(literal 4 binary64))) (*.f64 (log.f64 u1) #s(literal -1/18 binary64)))))
(fma.f64 #s(literal -2 binary64) (*.f64 (*.f64 (log.f64 u1) #s(literal 1/36 binary64)) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 (*.f64 (PI.f64) u2) #s(literal 4 binary64))))) (*.f64 #s(literal -1 binary64) (*.f64 (log.f64 u1) #s(literal 1/36 binary64))))
(fma.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/2 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 (*.f64 (PI.f64) u2) #s(literal 4 binary64))) (*.f64 (log.f64 u1) #s(literal -1/18 binary64)))))
(fma.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 (*.f64 (PI.f64) u2) #s(literal 4 binary64))))) (*.f64 #s(literal -1 binary64) (*.f64 (log.f64 u1) #s(literal 1/36 binary64))))
(fma.f64 #s(literal 1/2 binary64) (*.f64 (log.f64 u1) #s(literal -1/18 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 (*.f64 (PI.f64) u2) #s(literal 4 binary64))) (*.f64 (log.f64 u1) #s(literal -1/18 binary64)))))
(fma.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 (*.f64 (PI.f64) u2) #s(literal 4 binary64))) (*.f64 (log.f64 u1) #s(literal -1/18 binary64))) (*.f64 #s(literal -1 binary64) (*.f64 (log.f64 u1) #s(literal 1/36 binary64))))
(fma.f64 (cos.f64 (*.f64 (*.f64 (PI.f64) u2) #s(literal 4 binary64))) (*.f64 #s(literal -1 binary64) (*.f64 (log.f64 u1) #s(literal 1/36 binary64))) (*.f64 #s(literal -1 binary64) (*.f64 (log.f64 u1) #s(literal 1/36 binary64))))
(fma.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 (*.f64 (PI.f64) u2) #s(literal 4 binary64)))) (*.f64 (log.f64 u1) #s(literal -1/18 binary64)) (*.f64 #s(literal -1 binary64) (*.f64 (log.f64 u1) #s(literal 1/36 binary64))))
(fma.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/72 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 (*.f64 (PI.f64) u2) #s(literal 4 binary64))) (*.f64 (log.f64 u1) #s(literal -1/18 binary64)))))
(fma.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) (*.f64 #s(literal 1/36 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 (*.f64 (PI.f64) u2) #s(literal 4 binary64))))) (*.f64 #s(literal -1 binary64) (*.f64 (log.f64 u1) #s(literal 1/36 binary64))))
(fma.f64 (*.f64 (log.f64 u1) #s(literal -1/18 binary64)) #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 (*.f64 (PI.f64) u2) #s(literal 4 binary64))) (*.f64 (log.f64 u1) #s(literal -1/18 binary64)))))
(fma.f64 (*.f64 (log.f64 u1) #s(literal -1/18 binary64)) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 (*.f64 (PI.f64) u2) #s(literal 4 binary64)))) (*.f64 #s(literal -1 binary64) (*.f64 (log.f64 u1) #s(literal 1/36 binary64))))
(fma.f64 #s(literal -1 binary64) (*.f64 (log.f64 u1) #s(literal 1/36 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 (*.f64 (PI.f64) u2) #s(literal 4 binary64))) (*.f64 (log.f64 u1) #s(literal -1/18 binary64)))))
(fma.f64 (*.f64 #s(literal -1 binary64) (*.f64 (log.f64 u1) #s(literal 1/36 binary64))) (cos.f64 (*.f64 (*.f64 (PI.f64) u2) #s(literal 4 binary64))) (*.f64 #s(literal -1 binary64) (*.f64 (log.f64 u1) #s(literal 1/36 binary64))))
(fma.f64 #s(literal 1/72 binary64) (*.f64 #s(literal -2 binary64) (log.f64 u1)) (*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 (*.f64 (PI.f64) u2) #s(literal 4 binary64))) (*.f64 (log.f64 u1) #s(literal -1/18 binary64)))))
(fma.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 (*.f64 (PI.f64) u2) #s(literal 4 binary64)))) #s(literal 1/36 binary64)) (*.f64 #s(literal -2 binary64) (log.f64 u1)) (*.f64 #s(literal -1 binary64) (*.f64 (log.f64 u1) #s(literal 1/36 binary64))))
(fma.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal 1/36 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 (*.f64 (PI.f64) u2) #s(literal 4 binary64))) (*.f64 (log.f64 u1) #s(literal -1/18 binary64)))))
(fma.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 (*.f64 (PI.f64) u2) #s(literal 4 binary64)))) #s(literal -2 binary64)) (*.f64 (log.f64 u1) #s(literal 1/36 binary64)) (*.f64 #s(literal -1 binary64) (*.f64 (log.f64 u1) #s(literal 1/36 binary64))))
(fma.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 (*.f64 (PI.f64) u2) #s(literal 4 binary64)))) (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal 1/36 binary64) (*.f64 #s(literal -1 binary64) (*.f64 (log.f64 u1) #s(literal 1/36 binary64))))
(fma.f64 (*.f64 (*.f64 (log.f64 u1) #s(literal -1/18 binary64)) (cos.f64 (*.f64 (*.f64 (PI.f64) u2) #s(literal 4 binary64)))) #s(literal 1/2 binary64) (*.f64 #s(literal -1 binary64) (*.f64 (log.f64 u1) #s(literal 1/36 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (*.f64 #s(literal -1 binary64) (*.f64 (log.f64 u1) #s(literal 1/36 binary64))) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 (*.f64 (PI.f64) u2) #s(literal 4 binary64))) (*.f64 (log.f64 u1) #s(literal -1/18 binary64)))) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal -1 binary64) (*.f64 (log.f64 u1) #s(literal 1/36 binary64))) (*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 (*.f64 (PI.f64) u2) #s(literal 4 binary64))) (*.f64 (log.f64 u1) #s(literal -1/18 binary64))))))) (+.f64 (pow.f64 (*.f64 #s(literal -1 binary64) (*.f64 (log.f64 u1) #s(literal 1/36 binary64))) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 (*.f64 (PI.f64) u2) #s(literal 4 binary64))) (*.f64 (log.f64 u1) #s(literal -1/18 binary64)))) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (*.f64 (log.f64 u1) #s(literal 1/36 binary64))) (*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 (*.f64 (PI.f64) u2) #s(literal 4 binary64))) (*.f64 (log.f64 u1) #s(literal -1/18 binary64))))) (-.f64 (pow.f64 (*.f64 #s(literal -1 binary64) (*.f64 (log.f64 u1) #s(literal 1/36 binary64))) #s(literal 2 binary64)) (pow.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 (*.f64 (PI.f64) u2) #s(literal 4 binary64))) (*.f64 (log.f64 u1) #s(literal -1/18 binary64)))) #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 (*.f64 (PI.f64) u2) #s(literal 4 binary64)))) (-.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 (*.f64 (PI.f64) u2) #s(literal 4 binary64)))) #s(literal 1/2 binary64)))) (*.f64 (*.f64 (log.f64 u1) #s(literal -1/18 binary64)) (+.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 (*.f64 (PI.f64) u2) #s(literal 4 binary64)))) #s(literal 3 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 (*.f64 (PI.f64) u2) #s(literal 4 binary64))))) (*.f64 (*.f64 (log.f64 u1) #s(literal -1/18 binary64)) (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (*.f64 (PI.f64) u2) #s(literal 4 binary64)))))))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 (*.f64 (PI.f64) u2) #s(literal 4 binary64)))) (-.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 (*.f64 (PI.f64) u2) #s(literal 4 binary64)))) #s(literal 1/2 binary64)))) (*.f64 (+.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 (*.f64 (PI.f64) u2) #s(literal 4 binary64)))) #s(literal 3 binary64))) (*.f64 (log.f64 u1) #s(literal -1/18 binary64)))))
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(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 (*.f64 (PI.f64) u2) #s(literal 4 binary64))))) (*.f64 (log.f64 u1) #s(literal -1/18 binary64)))))) #s(literal -1 binary64))
(*.f64 (+.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 (*.f64 (PI.f64) u2) #s(literal 4 binary64))))) (*.f64 (log.f64 u1) #s(literal -1/18 binary64))) #s(literal 3/2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (+.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 (*.f64 (PI.f64) u2) #s(literal 4 binary64))))) (*.f64 (log.f64 u1) #s(literal -1/18 binary64))) #s(literal 1/4 binary64)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 (*.f64 (PI.f64) u2) #s(literal 4 binary64))))) (*.f64 (log.f64 u1) #s(literal -1/18 binary64))))))))
(*.f64 (+.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 (*.f64 (PI.f64) u2) #s(literal 4 binary64))))) (*.f64 (log.f64 u1) #s(literal -1/18 binary64))) #s(literal -1/4 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 (*.f64 (PI.f64) u2) #s(literal 4 binary64))))) (*.f64 (log.f64 u1) #s(literal -1/18 binary64)))) #s(literal -1/2 binary64))))
(exp.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)))))
(exp.f64 (*.f64 (log.f64 (exp.f64 #s(literal 1/2 binary64))) (log.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)))))
(sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)))
(pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (exp.f64 #s(literal 1/2 binary64)) (log.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))))
(pow.f64 (*.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) (*.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)) (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/4 binary64)))
(*.f64 (sqrt.f64 #s(literal -2 binary64)) (pow.f64 (log.f64 u1) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (log.f64 u1) #s(literal 1/2 binary64)) (sqrt.f64 #s(literal -2 binary64)))
(*.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (log.f64 (log.f64 u1))) (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (log.f64 #s(literal -2 binary64))))
(*.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (log.f64 #s(literal -2 binary64))) (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (log.f64 (log.f64 u1))))
(*.f64 (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)))))
(log.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)))
(+.f64 (log.f64 (log.f64 u1)) (log.f64 #s(literal -2 binary64)))
(+.f64 (log.f64 #s(literal -2 binary64)) (log.f64 (log.f64 u1)))
(-.f64 (/.f64 (pow.f64 (log.f64 (log.f64 u1)) #s(literal 2 binary64)) (log.f64 (/.f64 (log.f64 u1) #s(literal -2 binary64)))) (/.f64 (pow.f64 (log.f64 #s(literal -2 binary64)) #s(literal 2 binary64)) (log.f64 (/.f64 (log.f64 u1) #s(literal -2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (log.f64 (log.f64 u1)) #s(literal 2 binary64)) (-.f64 (pow.f64 (log.f64 #s(literal -2 binary64)) #s(literal 2 binary64)) (*.f64 (log.f64 (log.f64 u1)) (log.f64 #s(literal -2 binary64))))) (+.f64 (pow.f64 (log.f64 (log.f64 u1)) #s(literal 3 binary64)) (pow.f64 (log.f64 #s(literal -2 binary64)) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (log.f64 (/.f64 (log.f64 u1) #s(literal -2 binary64))) (-.f64 (pow.f64 (log.f64 (log.f64 u1)) #s(literal 2 binary64)) (pow.f64 (log.f64 #s(literal -2 binary64)) #s(literal 2 binary64)))))
(/.f64 (+.f64 (pow.f64 (log.f64 (log.f64 u1)) #s(literal 3 binary64)) (pow.f64 (log.f64 #s(literal -2 binary64)) #s(literal 3 binary64))) (+.f64 (pow.f64 (log.f64 (log.f64 u1)) #s(literal 2 binary64)) (-.f64 (pow.f64 (log.f64 #s(literal -2 binary64)) #s(literal 2 binary64)) (*.f64 (log.f64 (log.f64 u1)) (log.f64 #s(literal -2 binary64))))))
(/.f64 (-.f64 (pow.f64 (log.f64 (log.f64 u1)) #s(literal 2 binary64)) (pow.f64 (log.f64 #s(literal -2 binary64)) #s(literal 2 binary64))) (log.f64 (/.f64 (log.f64 u1) #s(literal -2 binary64))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (log.f64 (log.f64 u1)) #s(literal 3 binary64)) (pow.f64 (log.f64 #s(literal -2 binary64)) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (log.f64 (log.f64 u1)) #s(literal 2 binary64)) (-.f64 (pow.f64 (log.f64 #s(literal -2 binary64)) #s(literal 2 binary64)) (*.f64 (log.f64 (log.f64 u1)) (log.f64 #s(literal -2 binary64)))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log.f64 (log.f64 u1)) #s(literal 2 binary64)) (pow.f64 (log.f64 #s(literal -2 binary64)) #s(literal 2 binary64)))) (neg.f64 (log.f64 (/.f64 (log.f64 u1) #s(literal -2 binary64)))))
(/.f64 (+.f64 (pow.f64 (log.f64 #s(literal -2 binary64)) #s(literal 3 binary64)) (pow.f64 (log.f64 (log.f64 u1)) #s(literal 3 binary64))) (+.f64 (pow.f64 (log.f64 #s(literal -2 binary64)) #s(literal 2 binary64)) (-.f64 (pow.f64 (log.f64 (log.f64 u1)) #s(literal 2 binary64)) (*.f64 (log.f64 #s(literal -2 binary64)) (log.f64 (log.f64 u1))))))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -1/18 binary64)))) #s(literal 2 binary64)))
(exp.f64 (+.f64 (*.f64 (log.f64 (*.f64 (log.f64 u1) #s(literal -1/18 binary64))) #s(literal 1/2 binary64)) (*.f64 (log.f64 (*.f64 (log.f64 u1) #s(literal -1/18 binary64))) #s(literal 1/2 binary64))))
(sqrt.f64 (pow.f64 (*.f64 (log.f64 u1) #s(literal 1/18 binary64)) #s(literal 2 binary64)))
(pow.f64 (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -1/18 binary64))) #s(literal 2 binary64))
(pow.f64 (*.f64 (log.f64 u1) #s(literal -1/18 binary64)) #s(literal 1 binary64))
(pow.f64 (pow.f64 (*.f64 (log.f64 u1) #s(literal 1/18 binary64)) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -1/18 binary64)))) #s(literal 2 binary64))
(*.f64 #s(literal -2 binary64) (*.f64 (log.f64 u1) #s(literal 1/36 binary64)))
(*.f64 (log.f64 u1) #s(literal -1/18 binary64))
(*.f64 #s(literal 1/36 binary64) (*.f64 #s(literal -2 binary64) (log.f64 u1)))
(*.f64 #s(literal 1/6 binary64) (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -1/18 binary64)))))
(*.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/36 binary64))
(*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -1/18 binary64)))))
(*.f64 (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -1/18 binary64))) (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -1/18 binary64))))
(*.f64 #s(literal -1/18 binary64) (log.f64 u1))
(*.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -1/18 binary64)))) (-.f64 #s(literal 0 binary64) (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -1/18 binary64)))))
(*.f64 (*.f64 (log.f64 u1) #s(literal 1/36 binary64)) #s(literal -2 binary64))
(*.f64 (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -1/18 binary64))) #s(literal 1/6 binary64)) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))))
(*.f64 (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -1/18 binary64))) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)))) #s(literal 1/6 binary64))
(*.f64 (pow.f64 (pow.f64 (log.f64 u1) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (pow.f64 (*.f64 (sqrt.f64 #s(literal -2 binary64)) #s(literal 1/6 binary64)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (pow.f64 (*.f64 (log.f64 u1) #s(literal 1/36 binary64)) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -2 binary64)) #s(literal 2 binary64)))

simplify609.0ms (4.5%)

Memory
-18.2MiB live, 827.6MiB allocated
Algorithm
1×egg-herbie
Rules
12 192×accelerator-lowering-fma.f32
12 192×accelerator-lowering-fma.f64
8 978×*-lowering-*.f32
8 978×*-lowering-*.f64
3 096×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01724268
14714128
215174024
349654024
090013782
Stop Event
1×iter limit
1×node limit
Counts
300 → 300
Calls
Call 1
Inputs
(* -1/18 (* (log u1) (+ 1/2 (* 1/2 (cos (* 4 (* u2 (PI))))))))
(* -1/18 (* (log u1) (+ 1/2 (* 1/2 (cos (* 4 (* u2 (PI))))))))
(* -1/18 (* (log u1) (+ 1/2 (* 1/2 (cos (* 4 (* u2 (PI))))))))
(* -1/18 (* (log u1) (+ 1/2 (* 1/2 (cos (* 4 (* u2 (PI))))))))
(* 1/18 (* (log (/ 1 u1)) (+ 1/2 (* 1/2 (cos (* 4 (* u2 (PI))))))))
(* 1/18 (* (log (/ 1 u1)) (+ 1/2 (* 1/2 (cos (* 4 (* u2 (PI))))))))
(* 1/18 (* (log (/ 1 u1)) (+ 1/2 (* 1/2 (cos (* 4 (* u2 (PI))))))))
(* 1/18 (* (log (/ 1 u1)) (+ 1/2 (* 1/2 (cos (* 4 (* u2 (PI))))))))
(* -1/18 (* (+ 1/2 (* 1/2 (cos (* 4 (* u2 (PI)))))) (+ (log -1) (* -1 (log (/ -1 u1))))))
(* -1/18 (* (+ 1/2 (* 1/2 (cos (* 4 (* u2 (PI)))))) (+ (log -1) (* -1 (log (/ -1 u1))))))
(* -1/18 (* (+ 1/2 (* 1/2 (cos (* 4 (* u2 (PI)))))) (+ (log -1) (* -1 (log (/ -1 u1))))))
(* -1/18 (* (+ 1/2 (* 1/2 (cos (* 4 (* u2 (PI)))))) (+ (log -1) (* -1 (log (/ -1 u1))))))
(* -1/18 (log u1))
(+ (* -1/18 (log u1)) (* 2/9 (* (pow u2 2) (* (pow (PI) 2) (log u1)))))
(+ (* -1/18 (log u1)) (* (pow u2 2) (+ (* -8/27 (* (pow u2 2) (* (pow (PI) 4) (log u1)))) (* 2/9 (* (pow (PI) 2) (log u1))))))
(+ (* -1/18 (log u1)) (* (pow u2 2) (+ (* 2/9 (* (pow (PI) 2) (log u1))) (* (pow u2 2) (+ (* -8/27 (* (pow (PI) 4) (log u1))) (* 64/405 (* (pow u2 2) (* (pow (PI) 6) (log u1)))))))))
(* -1/18 (* (log u1) (+ 1/2 (* 1/2 (cos (* 4 (* u2 (PI))))))))
(* -1/18 (* (log u1) (+ 1/2 (* 1/2 (cos (* 4 (* u2 (PI))))))))
(* -1/18 (* (log u1) (+ 1/2 (* 1/2 (cos (* 4 (* u2 (PI))))))))
(* -1/18 (* (log u1) (+ 1/2 (* 1/2 (cos (* 4 (* u2 (PI))))))))
(* -1/18 (* (log u1) (+ 1/2 (* 1/2 (cos (* 4 (* u2 (PI))))))))
(* -1/18 (* (log u1) (+ 1/2 (* 1/2 (cos (* 4 (* u2 (PI))))))))
(* -1/18 (* (log u1) (+ 1/2 (* 1/2 (cos (* 4 (* u2 (PI))))))))
(* -1/18 (* (log u1) (+ 1/2 (* 1/2 (cos (* 4 (* u2 (PI))))))))
(* -1/18 (log u1))
(* -1/18 (log u1))
(* -1/18 (log u1))
(* -1/18 (log u1))
(* 1/18 (log (/ 1 u1)))
(* 1/18 (log (/ 1 u1)))
(* 1/18 (log (/ 1 u1)))
(* 1/18 (log (/ 1 u1)))
(* -1/18 (+ (log -1) (* -1 (log (/ -1 u1)))))
(* -1/18 (+ (log -1) (* -1 (log (/ -1 u1)))))
(* -1/18 (+ (log -1) (* -1 (log (/ -1 u1)))))
(* -1/18 (+ (log -1) (* -1 (log (/ -1 u1)))))
(* 4 (* u2 (PI)))
(* 4 (* u2 (PI)))
(* 4 (* u2 (PI)))
(* 4 (* u2 (PI)))
(* 4 (* u2 (PI)))
(* 4 (* u2 (PI)))
(* 4 (* u2 (PI)))
(* 4 (* u2 (PI)))
(* 4 (* u2 (PI)))
(* 4 (* u2 (PI)))
(* 4 (* u2 (PI)))
(* 4 (* u2 (PI)))
(* (sqrt (* (log u1) (+ 1/2 (* 1/2 (cos (* 4 (* u2 (PI)))))))) (sqrt -1/18))
(* (sqrt (* (log u1) (+ 1/2 (* 1/2 (cos (* 4 (* u2 (PI)))))))) (sqrt -1/18))
(* (sqrt (* (log u1) (+ 1/2 (* 1/2 (cos (* 4 (* u2 (PI)))))))) (sqrt -1/18))
(* (sqrt (* (log u1) (+ 1/2 (* 1/2 (cos (* 4 (* u2 (PI)))))))) (sqrt -1/18))
(* (sqrt (* (log (/ 1 u1)) (+ 1/2 (* 1/2 (cos (* 4 (* u2 (PI)))))))) (sqrt 1/18))
(* (sqrt (* (log (/ 1 u1)) (+ 1/2 (* 1/2 (cos (* 4 (* u2 (PI)))))))) (sqrt 1/18))
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(* -1 (/ (- (* 1/18 (log (/ 1 u1))) 1/4) (- 1/2 (* 1/6 (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1)))))))
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(* -1 (/ (- (* -1/18 (+ (log -1) (* -1 (log (/ -1 u1))))) 1/4) (- 1/2 (* 1/6 (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))))))
(* -1 (/ (- (* -1/18 (+ (log -1) (* -1 (log (/ -1 u1))))) 1/4) (- 1/2 (* 1/6 (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))))))
(* -1 (/ (- (* -1/18 (+ (log -1) (* -1 (log (/ -1 u1))))) 1/4) (- 1/2 (* 1/6 (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))))))
(* -1 (/ (- (* -1/18 (+ (log -1) (* -1 (log (/ -1 u1))))) 1/4) (- 1/2 (* 1/6 (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))))))
(/ -1 (- 1/2 (* 1/6 (* (sqrt (log u1)) (sqrt -2)))))
(/ -1 (- 1/2 (* 1/6 (* (sqrt (log u1)) (sqrt -2)))))
(/ -1 (- 1/2 (* 1/6 (* (sqrt (log u1)) (sqrt -2)))))
(/ -1 (- 1/2 (* 1/6 (* (sqrt (log u1)) (sqrt -2)))))
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(* u2 (PI))
(* u2 (PI))
(* u2 (PI))
(* u2 (PI))
(* u2 (PI))
(* u2 (PI))
(* u2 (PI))
(* u2 (PI))
(* u2 (PI))
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(+ 1/2 (+ (* 1/9 (* (/ (* (pow u2 2) (pow (PI) 2)) (sqrt -1/18)) (sqrt (log u1)))) (* (sqrt (log u1)) (sqrt -1/18))))
(+ 1/2 (+ (* (sqrt (log u1)) (sqrt -1/18)) (* (pow u2 2) (+ (* 1/9 (* (/ (pow (PI) 2) (sqrt -1/18)) (sqrt (log u1)))) (* 1/2 (* (/ (* (pow u2 2) (- (* -8/27 (* (pow (PI) 4) (log u1))) (* 1/81 (/ (* (pow (PI) 4) (log u1)) (pow (sqrt -1/18) 2))))) (sqrt -1/18)) (sqrt (/ 1 (log u1)))))))))
(+ 1/2 (+ (* (sqrt (log u1)) (sqrt -1/18)) (* (pow u2 2) (+ (* 1/9 (* (/ (pow (PI) 2) (sqrt -1/18)) (sqrt (log u1)))) (* (pow u2 2) (+ (* 1/2 (* (sqrt (/ 1 (log u1))) (/ (- (* -8/27 (* (pow (PI) 4) (log u1))) (* 1/81 (/ (* (pow (PI) 4) (log u1)) (pow (sqrt -1/18) 2)))) (sqrt -1/18)))) (* 1/2 (* (/ (* (pow u2 2) (- (* 64/405 (* (pow (PI) 6) (log u1))) (* 1/9 (/ (* (pow (PI) 2) (- (* -8/27 (* (pow (PI) 4) (log u1))) (* 1/81 (/ (* (pow (PI) 4) (log u1)) (pow (sqrt -1/18) 2))))) (pow (sqrt -1/18) 2))))) (sqrt -1/18)) (sqrt (/ 1 (log u1)))))))))))
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(* (sqrt (log u1)) (sqrt -2))
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(* (sqrt (log u1)) (sqrt -2))
(* (sqrt (log u1)) (sqrt -2))
(* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1)))
(* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1)))
(* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1)))
(* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1)))
(* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))
(* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))
(* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))
(* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))
(log (* -2 (log u1)))
(log (* -2 (log u1)))
(log (* -2 (log u1)))
(log (* -2 (log u1)))
(log (* 2 (log (/ 1 u1))))
(log (* 2 (log (/ 1 u1))))
(log (* 2 (log (/ 1 u1))))
(log (* 2 (log (/ 1 u1))))
(log (* -2 (+ (log -1) (* -1 (log (/ -1 u1))))))
(log (* -2 (+ (log -1) (* -1 (log (/ -1 u1))))))
(log (* -2 (+ (log -1) (* -1 (log (/ -1 u1))))))
(log (* -2 (+ (log -1) (* -1 (log (/ -1 u1))))))
(* -1/18 (log u1))
(* -1/18 (log u1))
(* -1/18 (log u1))
(* -1/18 (log u1))
(* 1/18 (log (/ 1 u1)))
(* 1/18 (log (/ 1 u1)))
(* 1/18 (log (/ 1 u1)))
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(* -1/18 (+ (log -1) (* -1 (log (/ -1 u1)))))
(* -1/18 (+ (log -1) (* -1 (log (/ -1 u1)))))
(* -1/18 (+ (log -1) (* -1 (log (/ -1 u1)))))
Outputs
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(*.f64 (sqrt.f64 #s(literal -2 binary64)) (sqrt.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) u1)))))
(* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))
(*.f64 (sqrt.f64 #s(literal -2 binary64)) (sqrt.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) u1)))))
(* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))
(*.f64 (sqrt.f64 #s(literal -2 binary64)) (sqrt.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) u1)))))
(* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))
(*.f64 (sqrt.f64 #s(literal -2 binary64)) (sqrt.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) u1)))))
(log (* -2 (log u1)))
(log.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)))
(log (* -2 (log u1)))
(log.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)))
(log (* -2 (log u1)))
(log.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)))
(log (* -2 (log u1)))
(log.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)))
(log (* 2 (log (/ 1 u1))))
(log.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)))
(log (* 2 (log (/ 1 u1))))
(log.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)))
(log (* 2 (log (/ 1 u1))))
(log.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)))
(log (* 2 (log (/ 1 u1))))
(log.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)))
(log (* -2 (+ (log -1) (* -1 (log (/ -1 u1))))))
(log.f64 (*.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) u1))) #s(literal -2 binary64)))
(log (* -2 (+ (log -1) (* -1 (log (/ -1 u1))))))
(log.f64 (*.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) u1))) #s(literal -2 binary64)))
(log (* -2 (+ (log -1) (* -1 (log (/ -1 u1))))))
(log.f64 (*.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) u1))) #s(literal -2 binary64)))
(log (* -2 (+ (log -1) (* -1 (log (/ -1 u1))))))
(log.f64 (*.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) u1))) #s(literal -2 binary64)))
(* -1/18 (log u1))
(*.f64 #s(literal -1/18 binary64) (log.f64 u1))
(* -1/18 (log u1))
(*.f64 #s(literal -1/18 binary64) (log.f64 u1))
(* -1/18 (log u1))
(*.f64 #s(literal -1/18 binary64) (log.f64 u1))
(* -1/18 (log u1))
(*.f64 #s(literal -1/18 binary64) (log.f64 u1))
(* 1/18 (log (/ 1 u1)))
(*.f64 #s(literal -1/18 binary64) (log.f64 u1))
(* 1/18 (log (/ 1 u1)))
(*.f64 #s(literal -1/18 binary64) (log.f64 u1))
(* 1/18 (log (/ 1 u1)))
(*.f64 #s(literal -1/18 binary64) (log.f64 u1))
(* 1/18 (log (/ 1 u1)))
(*.f64 #s(literal -1/18 binary64) (log.f64 u1))
(* -1/18 (+ (log -1) (* -1 (log (/ -1 u1)))))
(*.f64 #s(literal -1/18 binary64) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) u1))))
(* -1/18 (+ (log -1) (* -1 (log (/ -1 u1)))))
(*.f64 #s(literal -1/18 binary64) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) u1))))
(* -1/18 (+ (log -1) (* -1 (log (/ -1 u1)))))
(*.f64 #s(literal -1/18 binary64) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) u1))))
(* -1/18 (+ (log -1) (* -1 (log (/ -1 u1)))))
(*.f64 #s(literal -1/18 binary64) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) u1))))

eval342.0ms (2.5%)

Memory
24.1MiB live, 562.8MiB allocated
Compiler

Compiled 59 492 to 3 507 computations (94.1% saved)

prune258.0ms (1.9%)

Memory
-27.5MiB live, 467.5MiB allocated
Pruning

20 alts after pruning (16 fresh and 4 done)

PrunedKeptTotal
New2 167132 180
Fresh639
Picked415
Done033
Total2 177202 197
Accuracy
100.0%
Counts
2 197 → 20
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓99.4%
(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))
98.1%
(pow.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -1/18 binary64)))) #s(literal 1/2 binary64)) #s(literal 2 binary64))
98.5%
(/.f64 (+.f64 (*.f64 (log.f64 u1) #s(literal -1/18 binary64)) #s(literal -1/4 binary64)) (+.f64 (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -1/18 binary64))) #s(literal -1/2 binary64)))
98.2%
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/4 binary64) (*.f64 (log.f64 u1) #s(literal 1/18 binary64)))) (/.f64 #s(literal -1 binary64) (+.f64 (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -1/18 binary64))) #s(literal -1/2 binary64)))))
98.6%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -1/18 binary64))) #s(literal 1/2 binary64))))
99.0%
(-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 u2 u2) (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal -2 binary64))))) (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal 1/6 binary64))) #s(literal -1/2 binary64))
✓99.4%
(-.f64 (*.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))
98.8%
(+.f64 (pow.f64 (pow.f64 (*.f64 (log.f64 u1) #s(literal 1/18 binary64)) #s(literal 2 binary64)) #s(literal 1/4 binary64)) #s(literal 1/2 binary64))
98.3%
(+.f64 (pow.f64 (pow.f64 (*.f64 (log.f64 u1) #s(literal -1/18 binary64)) #s(literal 1/4 binary64)) #s(literal 2 binary64)) #s(literal 1/2 binary64))
99.2%
(+.f64 (pow.f64 (*.f64 (log.f64 u1) (+.f64 #s(literal -1/18 binary64) (*.f64 u2 (*.f64 u2 (*.f64 #s(literal 2/9 binary64) (*.f64 (PI.f64) (PI.f64))))))) #s(literal 1/2 binary64)) #s(literal 1/2 binary64))
98.3%
(+.f64 (*.f64 (pow.f64 (pow.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)) #s(literal 1/4 binary64)) #s(literal 2 binary64)) #s(literal 1/6 binary64)) #s(literal 1/2 binary64))
99.2%
(+.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (log.f64 (/.f64 #s(literal 1 binary64) u1)))) (cos.f64 (*.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) u2))) #s(literal 1/2 binary64))
98.6%
(+.f64 (*.f64 (*.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (log.f64 u1))) (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/6 binary64)) #s(literal 1/2 binary64))
99.0%
(+.f64 (*.f64 (sqrt.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 (*.f64 (PI.f64) u2) #s(literal 4 binary64))))) (*.f64 #s(literal -2 binary64) (log.f64 u1)))) #s(literal 1/6 binary64)) #s(literal 1/2 binary64))
✓98.5%
(+.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal 1/6 binary64)) #s(literal 1/2 binary64))
✓98.1%
(+.f64 (*.f64 (exp.f64 (*.f64 (log.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal 1/2 binary64))) #s(literal 1/6 binary64)) #s(literal 1/2 binary64))
98.7%
(+.f64 (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -1/18 binary64))) #s(literal 1/2 binary64))
98.6%
(+.f64 (exp.f64 (*.f64 (log.f64 (*.f64 (log.f64 u1) #s(literal -1/18 binary64))) #s(literal 1/2 binary64))) #s(literal 1/2 binary64))
98.4%
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -1/18 binary64))))) (-.f64 #s(literal 1/4 binary64) (*.f64 (log.f64 u1) #s(literal -1/18 binary64))))
98.5%
(exp.f64 (log.f64 (+.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -1/18 binary64))))))
Compiler

Compiled 1 435 to 512 computations (64.3% saved)

regimes177.0ms (1.3%)

Memory
17.5MiB live, 326.8MiB allocated
Counts
54 → 1
Calls
Call 1
Inputs
(+.f64 (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -1/18 binary64))) #s(literal 1/2 binary64))
(+.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal 1/6 binary64)) #s(literal 1/2 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -1/18 binary64))) #s(literal 1/2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)))))))
(+.f64 (pow.f64 (*.f64 (log.f64 u1) (+.f64 #s(literal -1/18 binary64) (*.f64 u2 (*.f64 u2 (*.f64 #s(literal 2/9 binary64) (*.f64 (PI.f64) (PI.f64))))))) #s(literal 1/2 binary64)) #s(literal 1/2 binary64))
(-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 u2 u2) (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal -2 binary64))))) (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal 1/6 binary64))) #s(literal -1/2 binary64))
(+.f64 (exp.f64 (*.f64 (log.f64 (*.f64 (log.f64 u1) #s(literal -1/18 binary64))) #s(literal 1/2 binary64))) #s(literal 1/2 binary64))
(+.f64 (*.f64 (sqrt.f64 (log.f64 u1)) (*.f64 (sqrt.f64 #s(literal -2 binary64)) #s(literal 1/6 binary64))) #s(literal 1/2 binary64))
(+.f64 (pow.f64 (pow.f64 (*.f64 (log.f64 u1) #s(literal -1/18 binary64)) #s(literal 1/4 binary64)) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(+.f64 (pow.f64 (pow.f64 (*.f64 (log.f64 u1) #s(literal 1/18 binary64)) #s(literal 2 binary64)) #s(literal 1/4 binary64)) #s(literal 1/2 binary64))
(+.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 1/2 binary64))
(+.f64 (*.f64 (exp.f64 (*.f64 (log.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal 1/2 binary64))) #s(literal 1/6 binary64)) #s(literal 1/2 binary64))
(+.f64 (*.f64 (*.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (log.f64 u1))) (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/6 binary64)) #s(literal 1/2 binary64))
(+.f64 (*.f64 (pow.f64 (pow.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)) #s(literal 1/4 binary64)) #s(literal 2 binary64)) #s(literal 1/6 binary64)) #s(literal 1/2 binary64))
(/.f64 (+.f64 (*.f64 (log.f64 u1) #s(literal -1/18 binary64)) #s(literal -1/4 binary64)) (+.f64 (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -1/18 binary64))) #s(literal -1/2 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -1/18 binary64))))) (-.f64 #s(literal 1/4 binary64) (*.f64 (log.f64 u1) #s(literal -1/18 binary64))))
(+.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))) #s(literal 1/6 binary64)) #s(literal 1/2 binary64))
(-.f64 (*.f64 (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))
(/.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 (log.f64 u1) #s(literal -1/18 binary64))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))))))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)))))) (-.f64 #s(literal 1/4 binary64) (*.f64 (log.f64 u1) #s(literal -1/18 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))))) (-.f64 #s(literal 1/4 binary64) (*.f64 (log.f64 u1) #s(literal -1/18 binary64)))))
(/.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/36 binary64))) (-.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal 1/6 binary64))))
(+.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/2 binary64))) (cos.f64 (*.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) u2))) #s(literal 1/2 binary64))
(*.f64 (+.f64 (*.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/36 binary64)) #s(literal -1/4 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal 1/6 binary64)) #s(literal -1/2 binary64))))
(+.f64 (*.f64 (sqrt.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 (*.f64 (PI.f64) u2) #s(literal 4 binary64))))) (*.f64 #s(literal -2 binary64) (log.f64 u1)))) #s(literal 1/6 binary64)) #s(literal 1/2 binary64))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1/4 binary64) (*.f64 (log.f64 u1) #s(literal -1/18 binary64)))) (+.f64 (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)))) #s(literal -1/2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal 1/6 binary64)) #s(literal -1/2 binary64)) (+.f64 (*.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/36 binary64)) #s(literal -1/4 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/4 binary64) (*.f64 (log.f64 u1) #s(literal 1/18 binary64)))) (/.f64 #s(literal -1 binary64) (+.f64 (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -1/18 binary64))) #s(literal -1/2 binary64)))))
(/.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1/4 binary64) (*.f64 (log.f64 u1) #s(literal -1/18 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1/4 binary64) (*.f64 (log.f64 u1) #s(literal -1/18 binary64)))) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))))))))
(+.f64 (pow.f64 (*.f64 (*.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #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 (PI.f64) u2))))))) #s(literal 1/2 binary64)) #s(literal 1/2 binary64))
(exp.f64 (log.f64 (+.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -1/18 binary64))))))
(pow.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -1/18 binary64)))) #s(literal 1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))))) #s(literal 1/2 binary64)) #s(literal 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 (*.f64 (*.f64 #s(literal 1/6 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))
(+.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (log.f64 (/.f64 #s(literal 1 binary64) 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 #s(literal 1/2 binary64) (log.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)))))) (cos.f64 (*.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) u2))) #s(literal 1/2 binary64))
(+.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) (*.f64 (sqrt.f64 (log.f64 (/.f64 #s(literal 1 binary64) u1))) (sqrt.f64 #s(literal 2 binary64)))) (cos.f64 (*.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) u2))) #s(literal 1/2 binary64))
(+.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) (pow.f64 (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/4 binary64)) #s(literal 2 binary64))) (cos.f64 (*.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) u2))) #s(literal 1/2 binary64))
(+.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (exp.f64 (log.f64 (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))) #s(literal 1/6 binary64))))) #s(literal 1/2 binary64))
(fma.f64 (*.f64 (pow.f64 (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/8 binary64)) #s(literal 4 binary64)) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))) #s(literal 1/6 binary64) #s(literal 1/2 binary64))
(+.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) (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 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 (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 (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/8 binary64)) (*.f64 (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/8 binary64)) (*.f64 #s(literal 1/6 binary64) (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/4 binary64))))) (cos.f64 (*.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) u2))) #s(literal 1/2 binary64))
(+.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) (*.f64 (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/8 binary64)) (*.f64 (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/8 binary64)) (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/4 binary64))))) (cos.f64 (*.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) u2))) #s(literal 1/2 binary64))
(/.f64 (-.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))))) #s(literal 2 binary64))) (-.f64 #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 (pow.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))))) #s(literal 2 binary64)) (+.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))))) #s(literal -1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (+.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))))) #s(literal -1/2 binary64))))
(/.f64 (+.f64 (pow.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))))) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))))) (+.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))))) #s(literal -1/2 binary64)))))
(fma.f64 #s(literal 1/36 binary64) (/.f64 (pow.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))) #s(literal 2 binary64)) (+.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))))) #s(literal -1/2 binary64))) (neg.f64 (/.f64 #s(literal 1/4 binary64) (+.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))))) #s(literal -1/2 binary64)))))
(/.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 (+.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))))) #s(literal -1/2 binary64)) (+.f64 (pow.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))))) #s(literal 2 binary64)) #s(literal 1/4 binary64))))
(/.f64 (*.f64 (+.f64 (pow.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))))) #s(literal 4 binary64)) #s(literal -1/16 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))))) #s(literal -1/2 binary64)))) (+.f64 (pow.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))))) #s(literal 2 binary64)) #s(literal 1/4 binary64)))
Outputs
(+.f64 (*.f64 (*.f64 #s(literal 1/6 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))
Calls

10 calls:

33.0ms
(cos.f64 (*.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) u2))
19.0ms
u1
17.0ms
(*.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)))
15.0ms
(*.f64 #s(literal -2 binary64) (log.f64 u1))
15.0ms
(pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/2 binary64))
Results
AccuracySegmentsBranch
99.5%1u1
99.5%1u2
99.5%1(+.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/2 binary64))) (cos.f64 (*.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) u2))) #s(literal 1/2 binary64))
99.5%1(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/2 binary64))) (cos.f64 (*.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) u2)))
99.5%1(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/2 binary64)))
99.5%1(pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/2 binary64))
99.5%1(*.f64 #s(literal -2 binary64) (log.f64 u1))
99.5%1(log.f64 u1)
99.5%1(cos.f64 (*.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) u2))
99.5%1(*.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) u2)
Compiler

Compiled 91 to 78 computations (14.3% saved)

regimes114.0ms (0.8%)

Memory
20.9MiB live, 256.9MiB allocated
Counts
36 → 1
Calls
Call 1
Inputs
(+.f64 (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -1/18 binary64))) #s(literal 1/2 binary64))
(+.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal 1/6 binary64)) #s(literal 1/2 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -1/18 binary64))) #s(literal 1/2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)))))))
(+.f64 (pow.f64 (*.f64 (log.f64 u1) (+.f64 #s(literal -1/18 binary64) (*.f64 u2 (*.f64 u2 (*.f64 #s(literal 2/9 binary64) (*.f64 (PI.f64) (PI.f64))))))) #s(literal 1/2 binary64)) #s(literal 1/2 binary64))
(-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 u2 u2) (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal -2 binary64))))) (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal 1/6 binary64))) #s(literal -1/2 binary64))
(+.f64 (exp.f64 (*.f64 (log.f64 (*.f64 (log.f64 u1) #s(literal -1/18 binary64))) #s(literal 1/2 binary64))) #s(literal 1/2 binary64))
(+.f64 (*.f64 (sqrt.f64 (log.f64 u1)) (*.f64 (sqrt.f64 #s(literal -2 binary64)) #s(literal 1/6 binary64))) #s(literal 1/2 binary64))
(+.f64 (pow.f64 (pow.f64 (*.f64 (log.f64 u1) #s(literal -1/18 binary64)) #s(literal 1/4 binary64)) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(+.f64 (pow.f64 (pow.f64 (*.f64 (log.f64 u1) #s(literal 1/18 binary64)) #s(literal 2 binary64)) #s(literal 1/4 binary64)) #s(literal 1/2 binary64))
(+.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 1/2 binary64))
(+.f64 (*.f64 (exp.f64 (*.f64 (log.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal 1/2 binary64))) #s(literal 1/6 binary64)) #s(literal 1/2 binary64))
(+.f64 (*.f64 (*.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (log.f64 u1))) (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/6 binary64)) #s(literal 1/2 binary64))
(+.f64 (*.f64 (pow.f64 (pow.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)) #s(literal 1/4 binary64)) #s(literal 2 binary64)) #s(literal 1/6 binary64)) #s(literal 1/2 binary64))
(/.f64 (+.f64 (*.f64 (log.f64 u1) #s(literal -1/18 binary64)) #s(literal -1/4 binary64)) (+.f64 (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -1/18 binary64))) #s(literal -1/2 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -1/18 binary64))))) (-.f64 #s(literal 1/4 binary64) (*.f64 (log.f64 u1) #s(literal -1/18 binary64))))
(+.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))) #s(literal 1/6 binary64)) #s(literal 1/2 binary64))
(-.f64 (*.f64 (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))
(/.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 (log.f64 u1) #s(literal -1/18 binary64))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))))))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)))))) (-.f64 #s(literal 1/4 binary64) (*.f64 (log.f64 u1) #s(literal -1/18 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))))) (-.f64 #s(literal 1/4 binary64) (*.f64 (log.f64 u1) #s(literal -1/18 binary64)))))
(/.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/36 binary64))) (-.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal 1/6 binary64))))
(+.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/2 binary64))) (cos.f64 (*.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) u2))) #s(literal 1/2 binary64))
(*.f64 (+.f64 (*.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/36 binary64)) #s(literal -1/4 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal 1/6 binary64)) #s(literal -1/2 binary64))))
(+.f64 (*.f64 (sqrt.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 (*.f64 (PI.f64) u2) #s(literal 4 binary64))))) (*.f64 #s(literal -2 binary64) (log.f64 u1)))) #s(literal 1/6 binary64)) #s(literal 1/2 binary64))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1/4 binary64) (*.f64 (log.f64 u1) #s(literal -1/18 binary64)))) (+.f64 (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)))) #s(literal -1/2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal 1/6 binary64)) #s(literal -1/2 binary64)) (+.f64 (*.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/36 binary64)) #s(literal -1/4 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/4 binary64) (*.f64 (log.f64 u1) #s(literal 1/18 binary64)))) (/.f64 #s(literal -1 binary64) (+.f64 (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -1/18 binary64))) #s(literal -1/2 binary64)))))
(/.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1/4 binary64) (*.f64 (log.f64 u1) #s(literal -1/18 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1/4 binary64) (*.f64 (log.f64 u1) #s(literal -1/18 binary64)))) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))))))))
(+.f64 (pow.f64 (*.f64 (*.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #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 (PI.f64) u2))))))) #s(literal 1/2 binary64)) #s(literal 1/2 binary64))
(exp.f64 (log.f64 (+.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -1/18 binary64))))))
(pow.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -1/18 binary64)))) #s(literal 1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))))) #s(literal 1/2 binary64)) #s(literal 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))
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:

18.0ms
(*.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)))
12.0ms
(+.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))
11.0ms
u1
11.0ms
(pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/2 binary64))
11.0ms
(*.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) u2)
Results
AccuracySegmentsBranch
99.4%1u1
99.4%1u2
99.4%1(+.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/2 binary64))) (cos.f64 (*.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) u2))) #s(literal 1/2 binary64))
99.4%1(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/2 binary64))) (cos.f64 (*.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) u2)))
99.4%1(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/2 binary64)))
99.4%1(pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/2 binary64))
99.4%1(*.f64 #s(literal -2 binary64) (log.f64 u1))
99.4%1(log.f64 u1)
99.4%1(cos.f64 (*.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) u2))
99.4%1(*.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) u2)
Compiler

Compiled 91 to 78 computations (14.3% saved)

regimes122.0ms (0.9%)

Memory
-14.2MiB live, 250.7MiB allocated
Counts
35 → 1
Calls
Call 1
Inputs
(+.f64 (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -1/18 binary64))) #s(literal 1/2 binary64))
(+.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal 1/6 binary64)) #s(literal 1/2 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -1/18 binary64))) #s(literal 1/2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)))))))
(+.f64 (pow.f64 (*.f64 (log.f64 u1) (+.f64 #s(literal -1/18 binary64) (*.f64 u2 (*.f64 u2 (*.f64 #s(literal 2/9 binary64) (*.f64 (PI.f64) (PI.f64))))))) #s(literal 1/2 binary64)) #s(literal 1/2 binary64))
(-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 u2 u2) (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal -2 binary64))))) (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal 1/6 binary64))) #s(literal -1/2 binary64))
(+.f64 (exp.f64 (*.f64 (log.f64 (*.f64 (log.f64 u1) #s(literal -1/18 binary64))) #s(literal 1/2 binary64))) #s(literal 1/2 binary64))
(+.f64 (*.f64 (sqrt.f64 (log.f64 u1)) (*.f64 (sqrt.f64 #s(literal -2 binary64)) #s(literal 1/6 binary64))) #s(literal 1/2 binary64))
(+.f64 (pow.f64 (pow.f64 (*.f64 (log.f64 u1) #s(literal -1/18 binary64)) #s(literal 1/4 binary64)) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(+.f64 (pow.f64 (pow.f64 (*.f64 (log.f64 u1) #s(literal 1/18 binary64)) #s(literal 2 binary64)) #s(literal 1/4 binary64)) #s(literal 1/2 binary64))
(+.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 1/2 binary64))
(+.f64 (*.f64 (exp.f64 (*.f64 (log.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal 1/2 binary64))) #s(literal 1/6 binary64)) #s(literal 1/2 binary64))
(+.f64 (*.f64 (*.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (log.f64 u1))) (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/6 binary64)) #s(literal 1/2 binary64))
(+.f64 (*.f64 (pow.f64 (pow.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)) #s(literal 1/4 binary64)) #s(literal 2 binary64)) #s(literal 1/6 binary64)) #s(literal 1/2 binary64))
(/.f64 (+.f64 (*.f64 (log.f64 u1) #s(literal -1/18 binary64)) #s(literal -1/4 binary64)) (+.f64 (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -1/18 binary64))) #s(literal -1/2 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -1/18 binary64))))) (-.f64 #s(literal 1/4 binary64) (*.f64 (log.f64 u1) #s(literal -1/18 binary64))))
(+.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))) #s(literal 1/6 binary64)) #s(literal 1/2 binary64))
(-.f64 (*.f64 (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))
(/.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 (log.f64 u1) #s(literal -1/18 binary64))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))))))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)))))) (-.f64 #s(literal 1/4 binary64) (*.f64 (log.f64 u1) #s(literal -1/18 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))))) (-.f64 #s(literal 1/4 binary64) (*.f64 (log.f64 u1) #s(literal -1/18 binary64)))))
(/.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/36 binary64))) (-.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal 1/6 binary64))))
(+.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/2 binary64))) (cos.f64 (*.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) u2))) #s(literal 1/2 binary64))
(*.f64 (+.f64 (*.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/36 binary64)) #s(literal -1/4 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal 1/6 binary64)) #s(literal -1/2 binary64))))
(+.f64 (*.f64 (sqrt.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 (*.f64 (PI.f64) u2) #s(literal 4 binary64))))) (*.f64 #s(literal -2 binary64) (log.f64 u1)))) #s(literal 1/6 binary64)) #s(literal 1/2 binary64))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1/4 binary64) (*.f64 (log.f64 u1) #s(literal -1/18 binary64)))) (+.f64 (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)))) #s(literal -1/2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal 1/6 binary64)) #s(literal -1/2 binary64)) (+.f64 (*.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/36 binary64)) #s(literal -1/4 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/4 binary64) (*.f64 (log.f64 u1) #s(literal 1/18 binary64)))) (/.f64 #s(literal -1 binary64) (+.f64 (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -1/18 binary64))) #s(literal -1/2 binary64)))))
(/.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1/4 binary64) (*.f64 (log.f64 u1) #s(literal -1/18 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1/4 binary64) (*.f64 (log.f64 u1) #s(literal -1/18 binary64)))) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))))))))
(+.f64 (pow.f64 (*.f64 (*.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #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 (PI.f64) u2))))))) #s(literal 1/2 binary64)) #s(literal 1/2 binary64))
(exp.f64 (log.f64 (+.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -1/18 binary64))))))
(pow.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -1/18 binary64)))) #s(literal 1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))))) #s(literal 1/2 binary64)) #s(literal 2 binary64))
Outputs
(+.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))) #s(literal 1/6 binary64)) #s(literal 1/2 binary64))
Calls

10 calls:

17.0ms
(log.f64 u1)
16.0ms
u2
15.0ms
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/2 binary64))) (cos.f64 (*.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) u2)))
12.0ms
(*.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)))
11.0ms
(*.f64 #s(literal -2 binary64) (log.f64 u1))
Results
AccuracySegmentsBranch
99.4%1u1
99.4%1u2
99.4%1(+.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/2 binary64))) (cos.f64 (*.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) u2))) #s(literal 1/2 binary64))
99.4%1(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/2 binary64))) (cos.f64 (*.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) u2)))
99.4%1(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/2 binary64)))
99.4%1(pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/2 binary64))
99.4%1(*.f64 #s(literal -2 binary64) (log.f64 u1))
99.4%1(log.f64 u1)
99.4%1(cos.f64 (*.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) u2))
99.4%1(*.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) u2)
Compiler

Compiled 91 to 78 computations (14.3% saved)

regimes21.0ms (0.2%)

Memory
31.7MiB live, 70.1MiB allocated
Counts
16 → 1
Calls
Call 1
Inputs
(+.f64 (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -1/18 binary64))) #s(literal 1/2 binary64))
(+.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal 1/6 binary64)) #s(literal 1/2 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -1/18 binary64))) #s(literal 1/2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)))))))
(+.f64 (pow.f64 (*.f64 (log.f64 u1) (+.f64 #s(literal -1/18 binary64) (*.f64 u2 (*.f64 u2 (*.f64 #s(literal 2/9 binary64) (*.f64 (PI.f64) (PI.f64))))))) #s(literal 1/2 binary64)) #s(literal 1/2 binary64))
(-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 u2 u2) (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal -2 binary64))))) (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal 1/6 binary64))) #s(literal -1/2 binary64))
(+.f64 (exp.f64 (*.f64 (log.f64 (*.f64 (log.f64 u1) #s(literal -1/18 binary64))) #s(literal 1/2 binary64))) #s(literal 1/2 binary64))
(+.f64 (*.f64 (sqrt.f64 (log.f64 u1)) (*.f64 (sqrt.f64 #s(literal -2 binary64)) #s(literal 1/6 binary64))) #s(literal 1/2 binary64))
(+.f64 (pow.f64 (pow.f64 (*.f64 (log.f64 u1) #s(literal -1/18 binary64)) #s(literal 1/4 binary64)) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(+.f64 (pow.f64 (pow.f64 (*.f64 (log.f64 u1) #s(literal 1/18 binary64)) #s(literal 2 binary64)) #s(literal 1/4 binary64)) #s(literal 1/2 binary64))
(+.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 1/2 binary64))
(+.f64 (*.f64 (exp.f64 (*.f64 (log.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal 1/2 binary64))) #s(literal 1/6 binary64)) #s(literal 1/2 binary64))
(+.f64 (*.f64 (*.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (log.f64 u1))) (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/6 binary64)) #s(literal 1/2 binary64))
(+.f64 (*.f64 (pow.f64 (pow.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)) #s(literal 1/4 binary64)) #s(literal 2 binary64)) #s(literal 1/6 binary64)) #s(literal 1/2 binary64))
(/.f64 (+.f64 (*.f64 (log.f64 u1) #s(literal -1/18 binary64)) #s(literal -1/4 binary64)) (+.f64 (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -1/18 binary64))) #s(literal -1/2 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -1/18 binary64))))) (-.f64 #s(literal 1/4 binary64) (*.f64 (log.f64 u1) #s(literal -1/18 binary64))))
Outputs
(+.f64 (pow.f64 (*.f64 (log.f64 u1) (+.f64 #s(literal -1/18 binary64) (*.f64 u2 (*.f64 u2 (*.f64 #s(literal 2/9 binary64) (*.f64 (PI.f64) (PI.f64))))))) #s(literal 1/2 binary64)) #s(literal 1/2 binary64))
Calls

4 calls:

5.0ms
u2
5.0ms
(*.f64 #s(literal -2 binary64) (log.f64 u1))
5.0ms
(log.f64 u1)
5.0ms
u1
Results
AccuracySegmentsBranch
99.2%1u1
99.2%1u2
99.2%1(*.f64 #s(literal -2 binary64) (log.f64 u1))
99.2%1(log.f64 u1)
Compiler

Compiled 16 to 12 computations (25% saved)

regimes9.0ms (0.1%)

Memory
2.3MiB live, 41.9MiB allocated
Accuracy

Total -0.3b remaining (-40%)

Threshold costs -0.3b (-40%)

Counts
4 → 1
Calls
Call 1
Inputs
(+.f64 (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -1/18 binary64))) #s(literal 1/2 binary64))
(+.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal 1/6 binary64)) #s(literal 1/2 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -1/18 binary64))) #s(literal 1/2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)))))))
Outputs
(+.f64 (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -1/18 binary64))) #s(literal 1/2 binary64))
Calls

4 calls:

3.0ms
(log.f64 u1)
2.0ms
(*.f64 #s(literal -2 binary64) (log.f64 u1))
2.0ms
u2
2.0ms
u1
Results
AccuracySegmentsBranch
98.7%1u1
98.7%1u2
98.7%1(*.f64 #s(literal -2 binary64) (log.f64 u1))
98.7%1(log.f64 u1)
Compiler

Compiled 16 to 12 computations (25% saved)

simplify11.0ms (0.1%)

Memory
-3.7MiB live, 37.0MiB allocated
Algorithm
1×egg-herbie
Rules
32×*-commutative_binary64
12×+-commutative_binary64
2×sub0-neg_binary64
2×sub-neg_binary64
2×neg-mul-1_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04174
16474
26774
36874
Stop Event
1×saturated
Calls
Call 1
Inputs
(+.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)))) (cos.f64 (*.f64 (*.f64 #s(literal 2 binary64) (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 (*.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 (pow.f64 (*.f64 (log.f64 u1) (+.f64 #s(literal -1/18 binary64) (*.f64 u2 (*.f64 u2 (*.f64 #s(literal 2/9 binary64) (*.f64 (PI.f64) (PI.f64))))))) #s(literal 1/2 binary64)) #s(literal 1/2 binary64))
(+.f64 (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -1/18 binary64))) #s(literal 1/2 binary64))
Outputs
(+.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)))) (cos.f64 (*.f64 (*.f64 #s(literal 2 binary64) (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))
(fma.f64 (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))) #s(literal 1/6 binary64) #s(literal 1/2 binary64))
(+.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))) #s(literal 1/6 binary64)) #s(literal 1/2 binary64))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))))))
(+.f64 (pow.f64 (*.f64 (log.f64 u1) (+.f64 #s(literal -1/18 binary64) (*.f64 u2 (*.f64 u2 (*.f64 #s(literal 2/9 binary64) (*.f64 (PI.f64) (PI.f64))))))) #s(literal 1/2 binary64)) #s(literal 1/2 binary64))
(+.f64 #s(literal 1/2 binary64) (pow.f64 (*.f64 (log.f64 u1) (+.f64 #s(literal -1/18 binary64) (*.f64 u2 (*.f64 u2 (*.f64 #s(literal 2/9 binary64) (*.f64 (PI.f64) (PI.f64))))))) #s(literal 1/2 binary64)))
(+.f64 (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -1/18 binary64))) #s(literal 1/2 binary64))
(+.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -1/18 binary64))))

soundness1.4s (10.5%)

Memory
-18.2MiB live, 1 064.0MiB allocated
Rules
43 450×accelerator-lowering-fma.f32
43 450×accelerator-lowering-fma.f64
12 558×accelerator-lowering-fma.f32
12 558×accelerator-lowering-fma.f64
12 192×accelerator-lowering-fma.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01724268
14714128
215174024
349654024
090013782
03579126
110888528
241188404
082068067
048256
1240238
21700236
08180230
01948
17048
236148
0283647
0831292
12051260
26231232
322011204
428111198
539221198
653521198
754801198
855421198
955591198
1055651198
1155651198
1279931198
1379931198
1479931198
080131162
045198
1252182
21744158
08563157
039196
1193190
21289185
09008176
Stop Event
1×fuel
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×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 212 to 157 computations (25.9% saved)

preprocess76.0ms (0.6%)

Memory
8.4MiB live, 125.6MiB allocated
Remove

(abs u2)

Compiler

Compiled 406 to 298 computations (26.6% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

Loading profile data...