normal distribution

Time bar (total: 13.3s)

analyze27.0ms (0.2%)

Memory
12.8MiB live, 43.3MiB allocated
Algorithm
1×search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%6.2%93.8%0%0%0%0
0%0%6.2%93.8%0%0%0%1
50%3.1%3.1%93.8%0%0%0%2
50%3.1%3.1%93.8%0%0%0%3
75%4.7%1.6%93.8%0%0%0%4
75%4.7%1.6%93.8%0%0%0%5
87.5%5.5%0.8%93.8%0%0%0%6
87.5%5.5%0.8%93.8%0%0%0%7
93.8%5.8%0.4%93.8%0%0%0%8
93.8%5.8%0.4%93.8%0%0%0%9
96.9%6%0.2%93.8%0%0%0%10
96.9%6%0.2%93.8%0%0%0%11
98.4%6.1%0.1%93.8%0%0%0%12
Compiler

Compiled 35 to 27 computations (22.9% saved)

sample1.9s (14.3%)

Memory
72.4MiB live, 1 840.5MiB allocated
Samples
1.5s8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 1.2s
ival-mult: 423.0ms (34% of total)
ival-<=: 246.0ms (19.8% of total)
ival-div: 186.0ms (15% of total)
ival-log: 112.0ms (9% of total)
ival-add: 79.0ms (6.4% of total)
ival-cos: 65.0ms (5.2% of total)
ival-sqrt: 55.0ms (4.4% of total)
ival-pi: 31.0ms (2.5% of total)
exact: 23.0ms (1.8% of total)
ival-and: 21.0ms (1.7% of total)
ival-assert: 3.0ms (0.2% of total)
Bogosity

preprocess28.0ms (0.2%)

Memory
-3.0MiB live, 35.1MiB 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)
(fma.f64 #s(literal 1/6 binary64) (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))) #s(literal 1/2 binary64))
Call 2
Inputs
(+ (* (* (/ 1 6) (pow (* -2 (log u1)) 1/2)) (cos (* (* 2 (PI)) u2))) 1/2)
(+ (* (* (/ 1 6) (pow (* -2 (log (neg u1))) 1/2)) (cos (* (* 2 (PI)) u2))) 1/2)
(+ (* (* (/ 1 6) (pow (* -2 (log u1)) 1/2)) (cos (* (* 2 (PI)) (neg u2)))) 1/2)
(neg (+ (* (* (/ 1 6) (pow (* -2 (log (neg u1))) 1/2)) (cos (* (* 2 (PI)) u2))) 1/2))
(neg (+ (* (* (/ 1 6) (pow (* -2 (log u1)) 1/2)) (cos (* (* 2 (PI)) (neg u2)))) 1/2))
(+ (* (* (/ 1 6) (pow (* -2 (log u2)) 1/2)) (cos (* (* 2 (PI)) u1))) 1/2)
Outputs
(+ (* (* (/ 1 6) (pow (* -2 (log u1)) 1/2)) (cos (* (* 2 (PI)) u2))) 1/2)
(+ 1/2 (* (sqrt (* -2 (log u1))) (* 1/6 (cos (* 2 (* (PI) u2))))))
(+ (* (* (/ 1 6) (pow (* -2 (log (neg u1))) 1/2)) (cos (* (* 2 (PI)) u2))) 1/2)
(+ 1/2 (* (sqrt (* -2 (log (neg u1)))) (* 1/6 (cos (* 2 (* (PI) u2))))))
(+ (* (* (/ 1 6) (pow (* -2 (log u1)) 1/2)) (cos (* (* 2 (PI)) (neg u2)))) 1/2)
(+ 1/2 (* (sqrt (* -2 (log u1))) (* 1/6 (cos (* 2 (* (PI) u2))))))
(neg (+ (* (* (/ 1 6) (pow (* -2 (log (neg u1))) 1/2)) (cos (* (* 2 (PI)) u2))) 1/2))
(+ -1/2 (* (sqrt (* -2 (log (neg u1)))) (* (cos (* 2 (* (PI) u2))) -1/6)))
(neg (+ (* (* (/ 1 6) (pow (* -2 (log u1)) 1/2)) (cos (* (* 2 (PI)) (neg u2)))) 1/2))
(+ (* (sqrt (* -2 (log u1))) (* (cos (* 2 (* (PI) u2))) -1/6)) -1/2)
(+ (* (* (/ 1 6) (pow (* -2 (log u2)) 1/2)) (cos (* (* 2 (PI)) u1))) 1/2)
(+ 1/2 (* 1/6 (* (sqrt (* -2 (log u2))) (cos (* u1 (* 2 (PI)))))))
Symmetry

(abs u2)

explain203.0ms (1.5%)

Memory
-15.0MiB live, 269.6MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
00-0-(cos.f64 (*.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) u2))
00-0-(*.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) u2)
00-0-#s(literal 1 binary64)
00-0-(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/2 binary64)))
00-0-u1
00-0-(+.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/2 binary64))) (cos.f64 (*.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) u2))) #s(literal 1/2 binary64))
00-0-#s(literal 1/2 binary64)
00-0-(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/2 binary64))) (cos.f64 (*.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) u2)))
00-0-(PI.f64)
00-0-u2
00-0-(*.f64 #s(literal -2 binary64) (log.f64 u1))
00-0-#s(literal 6 binary64)
00-0-(/.f64 #s(literal 1 binary64) #s(literal 6 binary64))
00-0-#s(literal 2 binary64)
00-0-#s(literal -2 binary64)
00-0-(log.f64 u1)
00-0-(*.f64 #s(literal 2 binary64) (PI.f64))
00-0-(pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/2 binary64))
Confusion
Predicted +Predicted -
+00
-0256
Precision
0/0
Recall
0/0
Confusion?
Predicted +Predicted MaybePredicted -
+000
-00256
Precision?
0/0
Recall?
0/0
Freqs
test
numberfreq
0256
Total Confusion?
Predicted +Predicted MaybePredicted -
+000
-001
Precision?
0/0
Recall?
0/0
Samples
62.0ms512×0valid
Compiler

Compiled 212 to 76 computations (64.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 42.0ms
ival-mult: 14.0ms (33.3% of total)
ival-log: 7.0ms (16.6% of total)
ival-sqrt: 7.0ms (16.6% of total)
ival-div: 4.0ms (9.5% of total)
ival-cos: 4.0ms (9.5% of total)
ival-pi: 2.0ms (4.8% of total)
ival-add: 2.0ms (4.8% of total)
exact: 1.0ms (2.4% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

eval0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated
Compiler

Compiled 2 to 2 computations (0% saved)

prune1.0ms (0%)

Memory
1.3MiB live, 1.3MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶99.5%
(+.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/2 binary64))) (cos.f64 (*.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) u2))) #s(literal 1/2 binary64))
Compiler

Compiled 21 to 18 computations (14.3% saved)

simplify5.0ms (0%)

Memory
7.3MiB live, 7.3MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 4 expressions of interest:

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

Useful iterations: 0 (0.0ms)

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

localize52.0ms (0.4%)

Memory
2.7MiB live, 78.1MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
✓accuracy99.9%
(+.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/2 binary64))) (cos.f64 (*.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) u2))) #s(literal 1/2 binary64))
✓accuracy99.8%
(pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/2 binary64))
✓accuracy99.5%
(*.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
33.0ms256×0valid
Compiler

Compiled 85 to 20 computations (76.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 21.0ms
ival-mult: 9.0ms (43.8% of total)
ival-log: 3.0ms (14.6% of total)
ival-div: 2.0ms (9.7% of total)
ival-cos: 2.0ms (9.7% of total)
ival-sqrt: 2.0ms (9.7% of total)
ival-pi: 1.0ms (4.9% of total)
ival-add: 1.0ms (4.9% of total)
exact: 1.0ms (4.9% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series81.0ms (0.6%)

Memory
2.9MiB live, 118.9MiB allocated
Counts
6 → 84
Calls
Call 1
Inputs
#<alt (pow (* -2 (log u1)) 1/2)>
#<alt (/ 1 6)>
#<alt (+ (* (* (/ 1 6) (pow (* -2 (log u1)) 1/2)) (cos (* (* 2 (PI)) u2))) 1/2)>
#<alt (* (* (/ 1 6) (pow (* -2 (log u1)) 1/2)) (cos (* (* 2 (PI)) u2)))>
#<alt (* (/ 1 6) (pow (* -2 (log u1)) 1/2))>
#<alt (* (* 2 (PI)) u2)>
Outputs
#<alt (* (sqrt (log u1)) (sqrt -2))>
#<alt (* (sqrt (log u1)) (sqrt -2))>
#<alt (* (sqrt (log u1)) (sqrt -2))>
#<alt (* (sqrt (log u1)) (sqrt -2))>
#<alt (* (sqrt (log (/ 1 u1))) (sqrt 2))>
#<alt (* (sqrt (log (/ 1 u1))) (sqrt 2))>
#<alt (* (sqrt (log (/ 1 u1))) (sqrt 2))>
#<alt (* (sqrt (log (/ 1 u1))) (sqrt 2))>
#<alt (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))>
#<alt (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))>
#<alt (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))>
#<alt (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))>
#<alt (+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))))>
#<alt (+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))))>
#<alt (+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))))>
#<alt (+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))))>
#<alt (+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -2) (sqrt -1))) (sqrt (log (/ 1 u1))))))>
#<alt (+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -2) (sqrt -1))) (sqrt (log (/ 1 u1))))))>
#<alt (+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -2) (sqrt -1))) (sqrt (log (/ 1 u1))))))>
#<alt (+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -2) (sqrt -1))) (sqrt (log (/ 1 u1))))))>
#<alt (+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))))>
#<alt (+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))))>
#<alt (+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))))>
#<alt (+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))))>
#<alt (+ 1/2 (* 1/6 (* (sqrt (log u1)) (sqrt -2))))>
#<alt (+ 1/2 (+ (* -1/3 (* (* (pow u2 2) (* (pow (PI) 2) (sqrt -2))) (sqrt (log u1)))) (* 1/6 (* (sqrt (log u1)) (sqrt -2)))))>
#<alt (+ 1/2 (+ (* 1/6 (* (sqrt (log u1)) (sqrt -2))) (* (pow u2 2) (+ (* -1/3 (* (* (pow (PI) 2) (sqrt -2)) (sqrt (log u1)))) (* 1/9 (* (* (pow u2 2) (* (pow (PI) 4) (sqrt -2))) (sqrt (log u1))))))))>
#<alt (+ 1/2 (+ (* 1/6 (* (sqrt (log u1)) (sqrt -2))) (* (pow u2 2) (+ (* -1/3 (* (* (pow (PI) 2) (sqrt -2)) (sqrt (log u1)))) (* (pow u2 2) (+ (* -2/135 (* (* (pow u2 2) (* (pow (PI) 6) (sqrt -2))) (sqrt (log u1)))) (* 1/9 (* (* (pow (PI) 4) (sqrt -2)) (sqrt (log u1))))))))))>
#<alt (+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))))>
#<alt (+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))))>
#<alt (+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))))>
#<alt (+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))))>
#<alt (+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))))>
#<alt (+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))))>
#<alt (+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))))>
#<alt (+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))))>
#<alt (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1))))>
#<alt (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1))))>
#<alt (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1))))>
#<alt (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1))))>
#<alt (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -2) (sqrt -1))) (sqrt (log (/ 1 u1)))))>
#<alt (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -2) (sqrt -1))) (sqrt (log (/ 1 u1)))))>
#<alt (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -2) (sqrt -1))) (sqrt (log (/ 1 u1)))))>
#<alt (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -2) (sqrt -1))) (sqrt (log (/ 1 u1)))))>
#<alt (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))))>
#<alt (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))))>
#<alt (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))))>
#<alt (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))))>
#<alt (* 1/6 (* (sqrt (log u1)) (sqrt -2)))>
#<alt (+ (* -1/3 (* (* (pow u2 2) (* (pow (PI) 2) (sqrt -2))) (sqrt (log u1)))) (* 1/6 (* (sqrt (log u1)) (sqrt -2))))>
#<alt (+ (* 1/6 (* (sqrt (log u1)) (sqrt -2))) (* (pow u2 2) (+ (* -1/3 (* (* (pow (PI) 2) (sqrt -2)) (sqrt (log u1)))) (* 1/9 (* (* (pow u2 2) (* (pow (PI) 4) (sqrt -2))) (sqrt (log u1)))))))>
#<alt (+ (* 1/6 (* (sqrt (log u1)) (sqrt -2))) (* (pow u2 2) (+ (* -1/3 (* (* (pow (PI) 2) (sqrt -2)) (sqrt (log u1)))) (* (pow u2 2) (+ (* -2/135 (* (* (pow u2 2) (* (pow (PI) 6) (sqrt -2))) (sqrt (log u1)))) (* 1/9 (* (* (pow (PI) 4) (sqrt -2)) (sqrt (log u1)))))))))>
#<alt (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1))))>
#<alt (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1))))>
#<alt (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1))))>
#<alt (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1))))>
#<alt (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1))))>
#<alt (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1))))>
#<alt (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1))))>
#<alt (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1))))>
#<alt (* 1/6 (* (sqrt (log u1)) (sqrt -2)))>
#<alt (* 1/6 (* (sqrt (log u1)) (sqrt -2)))>
#<alt (* 1/6 (* (sqrt (log u1)) (sqrt -2)))>
#<alt (* 1/6 (* (sqrt (log u1)) (sqrt -2)))>
#<alt (* 1/6 (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1))))>
#<alt (* 1/6 (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1))))>
#<alt (* 1/6 (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1))))>
#<alt (* 1/6 (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1))))>
#<alt (* 1/6 (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))))>
#<alt (* 1/6 (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))))>
#<alt (* 1/6 (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))))>
#<alt (* 1/6 (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))))>
#<alt (* 2 (* u2 (PI)))>
#<alt (* 2 (* u2 (PI)))>
#<alt (* 2 (* u2 (PI)))>
#<alt (* 2 (* u2 (PI)))>
#<alt (* 2 (* u2 (PI)))>
#<alt (* 2 (* u2 (PI)))>
#<alt (* 2 (* u2 (PI)))>
#<alt (* 2 (* u2 (PI)))>
#<alt (* 2 (* u2 (PI)))>
#<alt (* 2 (* u2 (PI)))>
#<alt (* 2 (* u2 (PI)))>
#<alt (* 2 (* u2 (PI)))>
Calls

21 calls:

TimeVariablePointExpression
27.0ms
u1
@0
(pow (* -2 (log u1)) 1/2)
19.0ms
u1
@-inf
(pow (* -2 (log u1)) 1/2)
16.0ms
u2
@inf
(+ (* (* (/ 1 6) (pow (* -2 (log u1)) 1/2)) (cos (* (* 2 (PI)) u2))) 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)

rewrite177.0ms (1.3%)

Memory
21.4MiB live, 251.1MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
2 664×accelerator-lowering-fma.f32
2 664×accelerator-lowering-fma.f64
2 636×*-lowering-*.f32
2 636×*-lowering-*.f64
550×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01948
17048
236148
0283247
Stop Event
1×iter limit
1×iter limit
1×node limit
Counts
6 → 176
Calls
Call 1
Inputs
(pow (* -2 (log u1)) 1/2)
(/ 1 6)
(+ (* (* (/ 1 6) (pow (* -2 (log u1)) 1/2)) (cos (* (* 2 (PI)) u2))) 1/2)
(* (* (/ 1 6) (pow (* -2 (log u1)) 1/2)) (cos (* (* 2 (PI)) u2)))
(* (/ 1 6) (pow (* -2 (log u1)) 1/2))
(* (* 2 (PI)) u2)
Outputs
(exp.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)))))
(exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/4 binary64))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 2 binary64))) #s(literal 1/4 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal 1/4 binary64)) #s(literal 2 binary64)))
(exp.f64 (fma.f64 (log.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal 1/4 binary64) (*.f64 (log.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal 1/4 binary64))))
(sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)))
(pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 2 binary64)) #s(literal 1/4 binary64))
(pow.f64 (exp.f64 #s(literal 1/2 binary64)) (log.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))))
(*.f64 (sqrt.f64 #s(literal -2 binary64)) (sqrt.f64 (log.f64 u1)))
(*.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 #s(literal -2 binary64)))
(*.f64 (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/4 binary64)) (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 #s(literal -2 binary64) #s(literal 1/4 binary64)) (*.f64 (pow.f64 #s(literal -2 binary64) #s(literal 1/4 binary64)) (sqrt.f64 (log.f64 u1))))
(*.f64 (pow.f64 #s(literal -2 binary64) #s(literal 1/4 binary64)) (*.f64 (pow.f64 (log.f64 u1) #s(literal 1/4 binary64)) (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/4 binary64))))
(*.f64 (pow.f64 (log.f64 u1) #s(literal 1/4 binary64)) (*.f64 (pow.f64 (log.f64 u1) #s(literal 1/4 binary64)) (sqrt.f64 #s(literal -2 binary64))))
(*.f64 (pow.f64 (log.f64 u1) #s(literal 1/4 binary64)) (*.f64 (pow.f64 #s(literal -2 binary64) #s(literal 1/4 binary64)) (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/4 binary64))))
(*.f64 (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/8 binary64)) (*.f64 (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/8 binary64)) (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/4 binary64))))
(*.f64 (pow.f64 (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/4 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/4 binary64)) #s(literal 1 binary64)))
(*.f64 (*.f64 (sqrt.f64 #s(literal -2 binary64)) (pow.f64 (log.f64 u1) #s(literal 1/4 binary64))) (pow.f64 (log.f64 u1) #s(literal 1/4 binary64)))
(*.f64 (*.f64 (sqrt.f64 (log.f64 u1)) (pow.f64 #s(literal -2 binary64) #s(literal 1/4 binary64))) (pow.f64 #s(literal -2 binary64) #s(literal 1/4 binary64)))
(*.f64 (*.f64 (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/4 binary64)) (pow.f64 #s(literal -2 binary64) #s(literal 1/4 binary64))) (pow.f64 (log.f64 u1) #s(literal 1/4 binary64)))
(*.f64 (*.f64 (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/4 binary64)) (pow.f64 (log.f64 u1) #s(literal 1/4 binary64))) (pow.f64 #s(literal -2 binary64) #s(literal 1/4 binary64)))
(*.f64 (*.f64 (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/4 binary64)) (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/8 binary64))) (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/8 binary64)))
#s(literal 1/6 binary64)
(+.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))))))
(+.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))))) #s(literal 1/2 binary64))
(+.f64 (/.f64 (pow.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))))) #s(literal 2 binary64)) (fma.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))) #s(literal -1/2 binary64))) (neg.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))) #s(literal -1/2 binary64)))))
(-.f64 (/.f64 (pow.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))))) #s(literal 2 binary64)) (fma.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))) #s(literal -1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (fma.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))) #s(literal -1/2 binary64))))
(-.f64 (/.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))) #s(literal -1/6 binary64)))) (/.f64 (pow.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))))) #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))) #s(literal -1/6 binary64)))))
(fma.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))) #s(literal 1/2 binary64))
(fma.f64 #s(literal 1/6 binary64) (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))) #s(literal 1/2 binary64))
(fma.f64 #s(literal 1/6 binary64) (/.f64 (*.f64 (pow.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))) #s(literal 2 binary64)) #s(literal 1/6 binary64)) (fma.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))) #s(literal -1/2 binary64))) (neg.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))) #s(literal -1/2 binary64)))))
(fma.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal 1/6 binary64)) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))) #s(literal 1/2 binary64))
(fma.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal 1/6 binary64)) (/.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal 1/6 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))))))) (fma.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))) #s(literal -1/2 binary64))) (neg.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))) #s(literal -1/2 binary64)))))
(fma.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))) (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal 1/6 binary64)) #s(literal 1/2 binary64))
(fma.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))) (/.f64 (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))) (pow.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal 1/6 binary64)) #s(literal 2 binary64))) (fma.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))) #s(literal -1/2 binary64))) (neg.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))) #s(literal -1/2 binary64)))))
(fma.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))))) (/.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))))) (fma.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))) #s(literal -1/2 binary64))) (neg.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))) #s(literal -1/2 binary64)))))
(fma.f64 (sqrt.f64 #s(literal -2 binary64)) (*.f64 (sqrt.f64 (log.f64 u1)) (*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))))) #s(literal 1/2 binary64))
(fma.f64 (sqrt.f64 #s(literal -2 binary64)) (*.f64 (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (log.f64 u1))) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))) #s(literal 1/2 binary64))
(fma.f64 (sqrt.f64 #s(literal -2 binary64)) (*.f64 (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))) (sqrt.f64 (log.f64 u1))) #s(literal 1/6 binary64)) #s(literal 1/2 binary64))
(fma.f64 (sqrt.f64 (log.f64 u1)) (*.f64 (sqrt.f64 #s(literal -2 binary64)) (*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))))) #s(literal 1/2 binary64))
(fma.f64 (pow.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))))) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))) #s(literal -1/2 binary64))) (neg.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))) #s(literal -1/2 binary64)))))
(fma.f64 (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/4 binary64)) (*.f64 (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/4 binary64)) (*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))))) #s(literal 1/2 binary64))
(fma.f64 (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/4 binary64)) (*.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/4 binary64))) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))) #s(literal 1/2 binary64))
(fma.f64 (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/4 binary64)) (*.f64 (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))) (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/4 binary64))) #s(literal 1/6 binary64)) #s(literal 1/2 binary64))
(fma.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))) #s(literal 1/6 binary64) #s(literal 1/2 binary64))
(fma.f64 #s(literal 1/36 binary64) (/.f64 (pow.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))) #s(literal 2 binary64)) (fma.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))) #s(literal -1/2 binary64))) (neg.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))) #s(literal -1/2 binary64)))))
(fma.f64 (pow.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal 1/6 binary64)) #s(literal 2 binary64)) (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))))) (fma.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))) #s(literal -1/2 binary64))) (neg.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))) #s(literal -1/2 binary64)))))
(fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))))) (/.f64 (pow.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal 1/6 binary64)) #s(literal 2 binary64)) (fma.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))) #s(literal -1/2 binary64))) (neg.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))) #s(literal -1/2 binary64)))))
(fma.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))) #s(literal 1/36 binary64)) (/.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))) (fma.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))) #s(literal -1/2 binary64))) (neg.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))) #s(literal -1/2 binary64)))))
(fma.f64 (*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal 1/2 binary64))
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(*.f64 (*.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -2 binary64))) (sqrt.f64 (log.f64 u1)))
(*.f64 (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (log.f64 u1))) (sqrt.f64 #s(literal -2 binary64)))
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(*.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -2 binary64))) (pow.f64 (log.f64 u1) #s(literal 1/4 binary64))) (pow.f64 (log.f64 u1) #s(literal 1/4 binary64)))
(*.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/4 binary64))) (pow.f64 #s(literal -2 binary64) #s(literal 1/4 binary64))) (pow.f64 (log.f64 u1) #s(literal 1/4 binary64)))
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(*.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/4 binary64))) (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/8 binary64))) (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/8 binary64)))
(*.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))
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(*.f64 (PI.f64) (*.f64 #s(literal 2 binary64) u2))
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(*.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) u2)
(*.f64 u2 (*.f64 #s(literal 2 binary64) (PI.f64)))
(*.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)) #s(literal 1 binary64))
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(*.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (*.f64 (*.f64 u2 (cbrt.f64 (PI.f64))) #s(literal 2 binary64)))
(*.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) (*.f64 #s(literal 2 binary64) u2)))
(*.f64 (sqrt.f64 (PI.f64)) (*.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (PI.f64))) u2))
(*.f64 (sqrt.f64 (PI.f64)) (*.f64 (*.f64 u2 (sqrt.f64 (PI.f64))) #s(literal 2 binary64)))
(*.f64 (*.f64 (PI.f64) u2) #s(literal 2 binary64))
(*.f64 (*.f64 #s(literal 2 binary64) (pow.f64 (PI.f64) #s(literal 2/3 binary64))) (*.f64 u2 (cbrt.f64 (PI.f64))))
(*.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (PI.f64))) (*.f64 u2 (sqrt.f64 (PI.f64))))
(*.f64 (*.f64 #s(literal 2 binary64) u2) (PI.f64))
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(*.f64 (*.f64 u2 #s(literal 1 binary64)) (*.f64 #s(literal 2 binary64) (PI.f64)))
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(*.f64 (*.f64 u2 (*.f64 #s(literal 2 binary64) (pow.f64 (PI.f64) #s(literal 2/3 binary64)))) (cbrt.f64 (PI.f64)))
(*.f64 (*.f64 u2 (*.f64 #s(literal 2 binary64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (PI.f64)))
(*.f64 (*.f64 (*.f64 #s(literal 2 binary64) u2) #s(literal 1 binary64)) (PI.f64))
(*.f64 (*.f64 (*.f64 #s(literal 2 binary64) u2) (cbrt.f64 (PI.f64))) (pow.f64 (PI.f64) #s(literal 2/3 binary64)))
(*.f64 (*.f64 (*.f64 #s(literal 2 binary64) u2) (pow.f64 (PI.f64) #s(literal 2/3 binary64))) (cbrt.f64 (PI.f64)))
(*.f64 (*.f64 (*.f64 #s(literal 2 binary64) u2) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)))

simplify1.6s (12.3%)

Memory
-48.2MiB live, 1 369.6MiB 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 (-.f64 #s(literal 0 binary64) (log.f64 u1))) (sqrt.f64 #s(literal 2 binary64)))
(* (sqrt (log (/ 1 u1))) (sqrt 2))
(*.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (log.f64 u1))) (sqrt.f64 #s(literal 2 binary64)))
(* (sqrt (log (/ 1 u1))) (sqrt 2))
(*.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (log.f64 u1))) (sqrt.f64 #s(literal 2 binary64)))
(* (sqrt (log (/ 1 u1))) (sqrt 2))
(*.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (log.f64 u1))) (sqrt.f64 #s(literal 2 binary64)))
(* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))
(*.f64 (sqrt.f64 #s(literal -2 binary64)) (sqrt.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) u1)))))
(* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))
(*.f64 (sqrt.f64 #s(literal -2 binary64)) (sqrt.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) u1)))))
(* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))
(*.f64 (sqrt.f64 #s(literal -2 binary64)) (sqrt.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) u1)))))
(* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))
(*.f64 (sqrt.f64 #s(literal -2 binary64)) (sqrt.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) u1)))))
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))))
(fma.f64 (sqrt.f64 (log.f64 u1)) (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 u2 (PI.f64)))) (*.f64 (sqrt.f64 #s(literal -2 binary64)) #s(literal 1/6 binary64))) #s(literal 1/2 binary64))
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))))
(fma.f64 (sqrt.f64 (log.f64 u1)) (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 u2 (PI.f64)))) (*.f64 (sqrt.f64 #s(literal -2 binary64)) #s(literal 1/6 binary64))) #s(literal 1/2 binary64))
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))))
(fma.f64 (sqrt.f64 (log.f64 u1)) (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 u2 (PI.f64)))) (*.f64 (sqrt.f64 #s(literal -2 binary64)) #s(literal 1/6 binary64))) #s(literal 1/2 binary64))
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))))
(fma.f64 (sqrt.f64 (log.f64 u1)) (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 u2 (PI.f64)))) (*.f64 (sqrt.f64 #s(literal -2 binary64)) #s(literal 1/6 binary64))) #s(literal 1/2 binary64))
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -2) (sqrt -1))) (sqrt (log (/ 1 u1))))))
(fma.f64 (*.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (log.f64 u1))) (*.f64 (sqrt.f64 #s(literal -2 binary64)) #s(literal 1/6 binary64))) (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 u2 (PI.f64)))) (sqrt.f64 #s(literal -1 binary64))) #s(literal 1/2 binary64))
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -2) (sqrt -1))) (sqrt (log (/ 1 u1))))))
(fma.f64 (*.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (log.f64 u1))) (*.f64 (sqrt.f64 #s(literal -2 binary64)) #s(literal 1/6 binary64))) (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 u2 (PI.f64)))) (sqrt.f64 #s(literal -1 binary64))) #s(literal 1/2 binary64))
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -2) (sqrt -1))) (sqrt (log (/ 1 u1))))))
(fma.f64 (*.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (log.f64 u1))) (*.f64 (sqrt.f64 #s(literal -2 binary64)) #s(literal 1/6 binary64))) (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 u2 (PI.f64)))) (sqrt.f64 #s(literal -1 binary64))) #s(literal 1/2 binary64))
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -2) (sqrt -1))) (sqrt (log (/ 1 u1))))))
(fma.f64 (*.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (log.f64 u1))) (*.f64 (sqrt.f64 #s(literal -2 binary64)) #s(literal 1/6 binary64))) (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 u2 (PI.f64)))) (sqrt.f64 #s(literal -1 binary64))) #s(literal 1/2 binary64))
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))))
(fma.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 u2 (PI.f64)))) (*.f64 (sqrt.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) u1)))) (*.f64 (sqrt.f64 #s(literal -2 binary64)) #s(literal 1/6 binary64))) #s(literal 1/2 binary64))
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))))
(fma.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 u2 (PI.f64)))) (*.f64 (sqrt.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) u1)))) (*.f64 (sqrt.f64 #s(literal -2 binary64)) #s(literal 1/6 binary64))) #s(literal 1/2 binary64))
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))))
(fma.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 u2 (PI.f64)))) (*.f64 (sqrt.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) u1)))) (*.f64 (sqrt.f64 #s(literal -2 binary64)) #s(literal 1/6 binary64))) #s(literal 1/2 binary64))
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))))
(fma.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 u2 (PI.f64)))) (*.f64 (sqrt.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) u1)))) (*.f64 (sqrt.f64 #s(literal -2 binary64)) #s(literal 1/6 binary64))) #s(literal 1/2 binary64))
(+ 1/2 (* 1/6 (* (sqrt (log u1)) (sqrt -2))))
(fma.f64 (sqrt.f64 (log.f64 u1)) (*.f64 (sqrt.f64 #s(literal -2 binary64)) #s(literal 1/6 binary64)) #s(literal 1/2 binary64))
(+ 1/2 (+ (* -1/3 (* (* (pow u2 2) (* (pow (PI) 2) (sqrt -2))) (sqrt (log u1)))) (* 1/6 (* (sqrt (log u1)) (sqrt -2)))))
(fma.f64 (sqrt.f64 (log.f64 u1)) (*.f64 (sqrt.f64 #s(literal -2 binary64)) (fma.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 u2 u2)) (*.f64 (PI.f64) (PI.f64)) #s(literal 1/6 binary64))) #s(literal 1/2 binary64))
(+ 1/2 (+ (* 1/6 (* (sqrt (log u1)) (sqrt -2))) (* (pow u2 2) (+ (* -1/3 (* (* (pow (PI) 2) (sqrt -2)) (sqrt (log u1)))) (* 1/9 (* (* (pow u2 2) (* (pow (PI) 4) (sqrt -2))) (sqrt (log u1))))))))
(fma.f64 (sqrt.f64 (log.f64 u1)) (*.f64 (sqrt.f64 #s(literal -2 binary64)) (fma.f64 (*.f64 u2 u2) (fma.f64 #s(literal -1/3 binary64) (*.f64 (PI.f64) (PI.f64)) (*.f64 (*.f64 #s(literal 1/9 binary64) (pow.f64 (PI.f64) #s(literal 4 binary64))) (*.f64 u2 u2))) #s(literal 1/6 binary64))) #s(literal 1/2 binary64))
(+ 1/2 (+ (* 1/6 (* (sqrt (log u1)) (sqrt -2))) (* (pow u2 2) (+ (* -1/3 (* (* (pow (PI) 2) (sqrt -2)) (sqrt (log u1)))) (* (pow u2 2) (+ (* -2/135 (* (* (pow u2 2) (* (pow (PI) 6) (sqrt -2))) (sqrt (log u1)))) (* 1/9 (* (* (pow (PI) 4) (sqrt -2)) (sqrt (log u1))))))))))
(fma.f64 (sqrt.f64 (log.f64 u1)) (fma.f64 (*.f64 u2 u2) (*.f64 (sqrt.f64 #s(literal -2 binary64)) (fma.f64 (*.f64 u2 u2) (fma.f64 #s(literal -2/135 binary64) (*.f64 (*.f64 u2 u2) (pow.f64 (PI.f64) #s(literal 6 binary64))) (*.f64 #s(literal 1/9 binary64) (pow.f64 (PI.f64) #s(literal 4 binary64)))) (*.f64 #s(literal -1/3 binary64) (*.f64 (PI.f64) (PI.f64))))) (*.f64 (sqrt.f64 #s(literal -2 binary64)) #s(literal 1/6 binary64))) #s(literal 1/2 binary64))
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))))
(fma.f64 (sqrt.f64 (log.f64 u1)) (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 u2 (PI.f64)))) (*.f64 (sqrt.f64 #s(literal -2 binary64)) #s(literal 1/6 binary64))) #s(literal 1/2 binary64))
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))))
(fma.f64 (sqrt.f64 (log.f64 u1)) (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 u2 (PI.f64)))) (*.f64 (sqrt.f64 #s(literal -2 binary64)) #s(literal 1/6 binary64))) #s(literal 1/2 binary64))
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))))
(fma.f64 (sqrt.f64 (log.f64 u1)) (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 u2 (PI.f64)))) (*.f64 (sqrt.f64 #s(literal -2 binary64)) #s(literal 1/6 binary64))) #s(literal 1/2 binary64))
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))))
(fma.f64 (sqrt.f64 (log.f64 u1)) (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 u2 (PI.f64)))) (*.f64 (sqrt.f64 #s(literal -2 binary64)) #s(literal 1/6 binary64))) #s(literal 1/2 binary64))
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))))
(fma.f64 (sqrt.f64 (log.f64 u1)) (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 u2 (PI.f64)))) (*.f64 (sqrt.f64 #s(literal -2 binary64)) #s(literal 1/6 binary64))) #s(literal 1/2 binary64))
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))))
(fma.f64 (sqrt.f64 (log.f64 u1)) (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 u2 (PI.f64)))) (*.f64 (sqrt.f64 #s(literal -2 binary64)) #s(literal 1/6 binary64))) #s(literal 1/2 binary64))
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))))
(fma.f64 (sqrt.f64 (log.f64 u1)) (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 u2 (PI.f64)))) (*.f64 (sqrt.f64 #s(literal -2 binary64)) #s(literal 1/6 binary64))) #s(literal 1/2 binary64))
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))))
(fma.f64 (sqrt.f64 (log.f64 u1)) (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 u2 (PI.f64)))) (*.f64 (sqrt.f64 #s(literal -2 binary64)) #s(literal 1/6 binary64))) #s(literal 1/2 binary64))
(* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1))))
(*.f64 (sqrt.f64 (log.f64 u1)) (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 u2 (PI.f64)))) (*.f64 (sqrt.f64 #s(literal -2 binary64)) #s(literal 1/6 binary64))))
(* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1))))
(*.f64 (sqrt.f64 (log.f64 u1)) (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 u2 (PI.f64)))) (*.f64 (sqrt.f64 #s(literal -2 binary64)) #s(literal 1/6 binary64))))
(* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1))))
(*.f64 (sqrt.f64 (log.f64 u1)) (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 u2 (PI.f64)))) (*.f64 (sqrt.f64 #s(literal -2 binary64)) #s(literal 1/6 binary64))))
(* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1))))
(*.f64 (sqrt.f64 (log.f64 u1)) (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 u2 (PI.f64)))) (*.f64 (sqrt.f64 #s(literal -2 binary64)) #s(literal 1/6 binary64))))
(* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -2) (sqrt -1))) (sqrt (log (/ 1 u1)))))
(*.f64 (*.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (log.f64 u1))) (*.f64 (sqrt.f64 #s(literal -2 binary64)) #s(literal 1/6 binary64))) (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 u2 (PI.f64)))) (sqrt.f64 #s(literal -1 binary64))))
(* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -2) (sqrt -1))) (sqrt (log (/ 1 u1)))))
(*.f64 (*.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (log.f64 u1))) (*.f64 (sqrt.f64 #s(literal -2 binary64)) #s(literal 1/6 binary64))) (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 u2 (PI.f64)))) (sqrt.f64 #s(literal -1 binary64))))
(* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -2) (sqrt -1))) (sqrt (log (/ 1 u1)))))
(*.f64 (*.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (log.f64 u1))) (*.f64 (sqrt.f64 #s(literal -2 binary64)) #s(literal 1/6 binary64))) (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 u2 (PI.f64)))) (sqrt.f64 #s(literal -1 binary64))))
(* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -2) (sqrt -1))) (sqrt (log (/ 1 u1)))))
(*.f64 (*.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (log.f64 u1))) (*.f64 (sqrt.f64 #s(literal -2 binary64)) #s(literal 1/6 binary64))) (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 u2 (PI.f64)))) (sqrt.f64 #s(literal -1 binary64))))
(* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))))
(*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 u2 (PI.f64)))) (*.f64 (sqrt.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) u1)))) (*.f64 (sqrt.f64 #s(literal -2 binary64)) #s(literal 1/6 binary64))))
(* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))))
(*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 u2 (PI.f64)))) (*.f64 (sqrt.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) u1)))) (*.f64 (sqrt.f64 #s(literal -2 binary64)) #s(literal 1/6 binary64))))
(* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))))
(*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 u2 (PI.f64)))) (*.f64 (sqrt.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) u1)))) (*.f64 (sqrt.f64 #s(literal -2 binary64)) #s(literal 1/6 binary64))))
(* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))))
(*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 u2 (PI.f64)))) (*.f64 (sqrt.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) u1)))) (*.f64 (sqrt.f64 #s(literal -2 binary64)) #s(literal 1/6 binary64))))
(* 1/6 (* (sqrt (log u1)) (sqrt -2)))
(*.f64 (sqrt.f64 (log.f64 u1)) (*.f64 (sqrt.f64 #s(literal -2 binary64)) #s(literal 1/6 binary64)))
(+ (* -1/3 (* (* (pow u2 2) (* (pow (PI) 2) (sqrt -2))) (sqrt (log u1)))) (* 1/6 (* (sqrt (log u1)) (sqrt -2))))
(*.f64 (sqrt.f64 (log.f64 u1)) (*.f64 (sqrt.f64 #s(literal -2 binary64)) (fma.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 u2 u2)) (*.f64 (PI.f64) (PI.f64)) #s(literal 1/6 binary64))))
(+ (* 1/6 (* (sqrt (log u1)) (sqrt -2))) (* (pow u2 2) (+ (* -1/3 (* (* (pow (PI) 2) (sqrt -2)) (sqrt (log u1)))) (* 1/9 (* (* (pow u2 2) (* (pow (PI) 4) (sqrt -2))) (sqrt (log u1)))))))
(*.f64 (sqrt.f64 (log.f64 u1)) (*.f64 (sqrt.f64 #s(literal -2 binary64)) (fma.f64 (*.f64 u2 u2) (fma.f64 #s(literal -1/3 binary64) (*.f64 (PI.f64) (PI.f64)) (*.f64 (*.f64 #s(literal 1/9 binary64) (pow.f64 (PI.f64) #s(literal 4 binary64))) (*.f64 u2 u2))) #s(literal 1/6 binary64))))
(+ (* 1/6 (* (sqrt (log u1)) (sqrt -2))) (* (pow u2 2) (+ (* -1/3 (* (* (pow (PI) 2) (sqrt -2)) (sqrt (log u1)))) (* (pow u2 2) (+ (* -2/135 (* (* (pow u2 2) (* (pow (PI) 6) (sqrt -2))) (sqrt (log u1)))) (* 1/9 (* (* (pow (PI) 4) (sqrt -2)) (sqrt (log u1)))))))))
(*.f64 (sqrt.f64 (log.f64 u1)) (fma.f64 (*.f64 u2 u2) (*.f64 (sqrt.f64 #s(literal -2 binary64)) (fma.f64 (*.f64 u2 u2) (fma.f64 #s(literal -2/135 binary64) (*.f64 (*.f64 u2 u2) (pow.f64 (PI.f64) #s(literal 6 binary64))) (*.f64 #s(literal 1/9 binary64) (pow.f64 (PI.f64) #s(literal 4 binary64)))) (*.f64 #s(literal -1/3 binary64) (*.f64 (PI.f64) (PI.f64))))) (*.f64 (sqrt.f64 #s(literal -2 binary64)) #s(literal 1/6 binary64))))
(* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1))))
(*.f64 (sqrt.f64 (log.f64 u1)) (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 u2 (PI.f64)))) (*.f64 (sqrt.f64 #s(literal -2 binary64)) #s(literal 1/6 binary64))))
(* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1))))
(*.f64 (sqrt.f64 (log.f64 u1)) (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 u2 (PI.f64)))) (*.f64 (sqrt.f64 #s(literal -2 binary64)) #s(literal 1/6 binary64))))
(* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1))))
(*.f64 (sqrt.f64 (log.f64 u1)) (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 u2 (PI.f64)))) (*.f64 (sqrt.f64 #s(literal -2 binary64)) #s(literal 1/6 binary64))))
(* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1))))
(*.f64 (sqrt.f64 (log.f64 u1)) (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 u2 (PI.f64)))) (*.f64 (sqrt.f64 #s(literal -2 binary64)) #s(literal 1/6 binary64))))
(* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1))))
(*.f64 (sqrt.f64 (log.f64 u1)) (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 u2 (PI.f64)))) (*.f64 (sqrt.f64 #s(literal -2 binary64)) #s(literal 1/6 binary64))))
(* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1))))
(*.f64 (sqrt.f64 (log.f64 u1)) (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 u2 (PI.f64)))) (*.f64 (sqrt.f64 #s(literal -2 binary64)) #s(literal 1/6 binary64))))
(* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1))))
(*.f64 (sqrt.f64 (log.f64 u1)) (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 u2 (PI.f64)))) (*.f64 (sqrt.f64 #s(literal -2 binary64)) #s(literal 1/6 binary64))))
(* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1))))
(*.f64 (sqrt.f64 (log.f64 u1)) (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 u2 (PI.f64)))) (*.f64 (sqrt.f64 #s(literal -2 binary64)) #s(literal 1/6 binary64))))
(* 1/6 (* (sqrt (log u1)) (sqrt -2)))
(*.f64 (sqrt.f64 (log.f64 u1)) (*.f64 (sqrt.f64 #s(literal -2 binary64)) #s(literal 1/6 binary64)))
(* 1/6 (* (sqrt (log u1)) (sqrt -2)))
(*.f64 (sqrt.f64 (log.f64 u1)) (*.f64 (sqrt.f64 #s(literal -2 binary64)) #s(literal 1/6 binary64)))
(* 1/6 (* (sqrt (log u1)) (sqrt -2)))
(*.f64 (sqrt.f64 (log.f64 u1)) (*.f64 (sqrt.f64 #s(literal -2 binary64)) #s(literal 1/6 binary64)))
(* 1/6 (* (sqrt (log u1)) (sqrt -2)))
(*.f64 (sqrt.f64 (log.f64 u1)) (*.f64 (sqrt.f64 #s(literal -2 binary64)) #s(literal 1/6 binary64)))
(* 1/6 (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1))))
(*.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (log.f64 u1))) (*.f64 (sqrt.f64 #s(literal -2 binary64)) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -1 binary64)))))
(* 1/6 (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1))))
(*.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (log.f64 u1))) (*.f64 (sqrt.f64 #s(literal -2 binary64)) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -1 binary64)))))
(* 1/6 (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1))))
(*.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (log.f64 u1))) (*.f64 (sqrt.f64 #s(literal -2 binary64)) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -1 binary64)))))
(* 1/6 (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1))))
(*.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (log.f64 u1))) (*.f64 (sqrt.f64 #s(literal -2 binary64)) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -1 binary64)))))
(* 1/6 (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))))
(*.f64 (sqrt.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) u1)))) (*.f64 (sqrt.f64 #s(literal -2 binary64)) #s(literal 1/6 binary64)))
(* 1/6 (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))))
(*.f64 (sqrt.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) u1)))) (*.f64 (sqrt.f64 #s(literal -2 binary64)) #s(literal 1/6 binary64)))
(* 1/6 (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))))
(*.f64 (sqrt.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) u1)))) (*.f64 (sqrt.f64 #s(literal -2 binary64)) #s(literal 1/6 binary64)))
(* 1/6 (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))))
(*.f64 (sqrt.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) u1)))) (*.f64 (sqrt.f64 #s(literal -2 binary64)) #s(literal 1/6 binary64)))
(* 2 (* u2 (PI)))
(*.f64 #s(literal 2 binary64) (*.f64 u2 (PI.f64)))
(* 2 (* u2 (PI)))
(*.f64 #s(literal 2 binary64) (*.f64 u2 (PI.f64)))
(* 2 (* u2 (PI)))
(*.f64 #s(literal 2 binary64) (*.f64 u2 (PI.f64)))
(* 2 (* u2 (PI)))
(*.f64 #s(literal 2 binary64) (*.f64 u2 (PI.f64)))
(* 2 (* u2 (PI)))
(*.f64 #s(literal 2 binary64) (*.f64 u2 (PI.f64)))
(* 2 (* u2 (PI)))
(*.f64 #s(literal 2 binary64) (*.f64 u2 (PI.f64)))
(* 2 (* u2 (PI)))
(*.f64 #s(literal 2 binary64) (*.f64 u2 (PI.f64)))
(* 2 (* u2 (PI)))
(*.f64 #s(literal 2 binary64) (*.f64 u2 (PI.f64)))
(* 2 (* u2 (PI)))
(*.f64 #s(literal 2 binary64) (*.f64 u2 (PI.f64)))
(* 2 (* u2 (PI)))
(*.f64 #s(literal 2 binary64) (*.f64 u2 (PI.f64)))
(* 2 (* u2 (PI)))
(*.f64 #s(literal 2 binary64) (*.f64 u2 (PI.f64)))
(* 2 (* u2 (PI)))
(*.f64 #s(literal 2 binary64) (*.f64 u2 (PI.f64)))

eval26.0ms (0.2%)

Memory
23.7MiB live, 62.1MiB allocated
Compiler

Compiled 7 631 to 698 computations (90.9% saved)

prune44.0ms (0.3%)

Memory
-13.6MiB live, 105.7MiB allocated
Pruning

18 alts after pruning (18 fresh and 0 done)

PrunedKeptTotal
New24218260
Fresh000
Picked101
Done000
Total24318261
Accuracy
100.0%
Counts
261 → 18
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.2%
(fma.f64 (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/4 binary64)) (*.f64 (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/4 binary64)) (*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))))) #s(literal 1/2 binary64))
99.2%
(fma.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))) #s(literal 1/36 binary64)) (/.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))) (fma.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))) #s(literal -1/2 binary64))) (neg.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))) #s(literal -1/2 binary64)))))
▶99.5%
(fma.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))) #s(literal 1/6 binary64) #s(literal 1/2 binary64))
99.5%
(fma.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal 1/6 binary64)) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))) #s(literal 1/2 binary64))
▶0.0%
(fma.f64 (sqrt.f64 (log.f64 u1)) (*.f64 (sqrt.f64 #s(literal -2 binary64)) #s(literal 1/6 binary64)) #s(literal 1/2 binary64))
99.2%
(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)) (fma.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))) #s(literal -1/2 binary64))) (neg.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))) #s(literal -1/2 binary64)))))
▶99.1%
(/.f64 (fma.f64 #s(literal 1/36 binary64) (pow.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))) #s(literal 2 binary64)) #s(literal -1/4 binary64)) (fma.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))) #s(literal -1/2 binary64)))
▶98.9%
(/.f64 (fma.f64 #s(literal 1/216 binary64) (pow.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (fma.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))))) (fma.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))) #s(literal -1/2 binary64)) #s(literal 1/4 binary64)))
99.1%
(/.f64 (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal -1/36 binary64) (pow.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))) #s(literal 2 binary64)))) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))) #s(literal -1/6 binary64))))
98.6%
(/.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) (fma.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))) #s(literal -1/2 binary64)))) (fma.f64 #s(literal 1/36 binary64) (pow.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))) #s(literal 2 binary64)) #s(literal 1/4 binary64)))
99.0%
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))) #s(literal -1/6 binary64))) (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal -1/36 binary64) (pow.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))) #s(literal 2 binary64))))))
99.4%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))) #s(literal 1/2 binary64))))
99.0%
(+.f64 (*.f64 (*.f64 (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/8 binary64)) (*.f64 (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/8 binary64)) (*.f64 #s(literal 1/6 binary64) (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/4 binary64))))) (cos.f64 (*.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) u2))) #s(literal 1/2 binary64))
▶99.2%
(+.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))
98.7%
(+.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (log.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))))) (cos.f64 (*.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) u2))) #s(literal 1/2 binary64))
99.5%
(+.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) (*.f64 (sqrt.f64 (-.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))
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))
98.8%
(*.f64 (/.f64 (fma.f64 #s(literal 1/36 binary64) (pow.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))) #s(literal 2 binary64)) #s(literal -1/4 binary64)) (fma.f64 #s(literal 1/216 binary64) (pow.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))) #s(literal 3 binary64)) #s(literal -1/8 binary64))) (fma.f64 #s(literal 1/36 binary64) (pow.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))) #s(literal 2 binary64)) (fma.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))) (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal 1/12 binary64)) #s(literal 1/4 binary64))))
Compiler

Compiled 1 236 to 742 computations (40% saved)

simplify258.0ms (1.9%)

Memory
20.2MiB live, 296.4MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(pow.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))) #s(literal 3 binary64))
✓cost-diff0
(fma.f64 #s(literal 1/216 binary64) (pow.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))) #s(literal 3 binary64)) #s(literal 1/8 binary64))
✓cost-diff0
(/.f64 (fma.f64 #s(literal 1/216 binary64) (pow.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (fma.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))))) (fma.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))) #s(literal -1/2 binary64)) #s(literal 1/4 binary64)))
✓cost-diff1280
(fma.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))))) (fma.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))) #s(literal -1/2 binary64)) #s(literal 1/4 binary64))
✓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-diff0
(pow.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))) #s(literal 2 binary64))
✓cost-diff0
(/.f64 (fma.f64 #s(literal 1/36 binary64) (pow.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))) #s(literal 2 binary64)) #s(literal -1/4 binary64)) (fma.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))) #s(literal -1/2 binary64)))
✓cost-diff64
(fma.f64 #s(literal 1/36 binary64) (pow.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))) #s(literal 2 binary64)) #s(literal -1/4 binary64))
✓cost-diff0
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) (pow.f64 (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/4 binary64)) #s(literal 2 binary64))) (cos.f64 (*.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) u2)))
✓cost-diff128
(+.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) (pow.f64 (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/4 binary64)) #s(literal 2 binary64))) (cos.f64 (*.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) u2))) #s(literal 1/2 binary64))
✓cost-diff704
(/.f64 #s(literal 1 binary64) #s(literal 6 binary64))
✓cost-diff12288
(pow.f64 (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/4 binary64)) #s(literal 2 binary64))
✓cost-diff0
(*.f64 (sqrt.f64 #s(literal -2 binary64)) #s(literal 1/6 binary64))
✓cost-diff0
(log.f64 u1)
✓cost-diff0
(sqrt.f64 (log.f64 u1))
✓cost-diff0
(fma.f64 (sqrt.f64 (log.f64 u1)) (*.f64 (sqrt.f64 #s(literal -2 binary64)) #s(literal 1/6 binary64)) #s(literal 1/2 binary64))
✓cost-diff0
(*.f64 #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-diff0
(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
8 514×*-lowering-*.f32
8 514×*-lowering-*.f64
6 968×associate-*r*
3 204×accelerator-lowering-fma.f32
3 204×accelerator-lowering-fma.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
052512
1103506
2258497
3706497
4857497
5883497
6928497
71065497
81129493
92659493
103068493
113472493
124412493
135388493
145932493
155932493
165932493
175932493
187498493
197498493
207498493
010991479
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))
(log u1)
u1
(* (sqrt -2) 1/6)
(sqrt -2)
-2
1/6
1/2
(+ (* (* (/ 1 6) (pow (pow (* -2 (log u1)) 1/4) 2)) (cos (* (* 2 (PI)) u2))) 1/2)
(* (* (/ 1 6) (pow (pow (* -2 (log u1)) 1/4) 2)) (cos (* (* 2 (PI)) u2)))
(* (/ 1 6) (pow (pow (* -2 (log u1)) 1/4) 2))
(/ 1 6)
1
6
(pow (pow (* -2 (log u1)) 1/4) 2)
(pow (* -2 (log u1)) 1/4)
(* -2 (log u1))
-2
(log u1)
u1
1/4
2
(cos (* (* 2 (PI)) u2))
(* (* 2 (PI)) u2)
(* 2 (PI))
(PI)
u2
1/2
(/ (+ (* 1/36 (pow (* (sqrt (* -2 (log u1))) (cos (* 2 (* (PI) u2)))) 2)) -1/4) (+ (* (sqrt (* -2 (log u1))) (* 1/6 (cos (* 2 (* (PI) u2))))) -1/2))
(+ (* 1/36 (pow (* (sqrt (* -2 (log u1))) (cos (* 2 (* (PI) u2)))) 2)) -1/4)
1/36
(pow (* (sqrt (* -2 (log u1))) (cos (* 2 (* (PI) u2)))) 2)
(* (sqrt (* -2 (log u1))) (cos (* 2 (* (PI) u2))))
(sqrt (* -2 (log u1)))
(* -2 (log u1))
-2
(log u1)
u1
(cos (* 2 (* (PI) u2)))
(* 2 (* (PI) u2))
2
(* (PI) u2)
(PI)
u2
-1/4
(+ (* (sqrt (* -2 (log u1))) (* 1/6 (cos (* 2 (* (PI) u2))))) -1/2)
(* 1/6 (cos (* 2 (* (PI) u2))))
1/6
-1/2
(/ (+ (* 1/216 (pow (* (sqrt (* -2 (log u1))) (cos (* 2 (* (PI) u2)))) 3)) 1/8) (+ (* (* (sqrt (* -2 (log u1))) (* 1/6 (cos (* 2 (* (PI) u2))))) (+ (* (sqrt (* -2 (log u1))) (* 1/6 (cos (* 2 (* (PI) u2))))) -1/2)) 1/4))
(+ (* 1/216 (pow (* (sqrt (* -2 (log u1))) (cos (* 2 (* (PI) u2)))) 3)) 1/8)
1/216
(pow (* (sqrt (* -2 (log u1))) (cos (* 2 (* (PI) u2)))) 3)
(* (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
3
1/8
(+ (* (* (sqrt (* -2 (log u1))) (* 1/6 (cos (* 2 (* (PI) u2))))) (+ (* (sqrt (* -2 (log u1))) (* 1/6 (cos (* 2 (* (PI) u2))))) -1/2)) 1/4)
(* (sqrt (* -2 (log u1))) (* 1/6 (cos (* 2 (* (PI) u2)))))
(* 1/6 (cos (* 2 (* (PI) u2))))
1/6
(+ (* (sqrt (* -2 (log u1))) (* 1/6 (cos (* 2 (* (PI) u2))))) -1/2)
-1/2
1/4
Outputs
(+ (* (* (sqrt (* -2 (log u1))) (cos (* 2 (* (PI) u2)))) 1/6) 1/2)
(fma.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))) #s(literal 1/6 binary64)) #s(literal 1/2 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)
(fma.f64 #s(literal 1/6 binary64) (*.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 #s(literal -2 binary64))) #s(literal 1/2 binary64))
(sqrt (log u1))
(sqrt.f64 (log.f64 u1))
(log u1)
(log.f64 u1)
u1
(* (sqrt -2) 1/6)
(*.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -2 binary64)))
(sqrt -2)
(sqrt.f64 #s(literal -2 binary64))
-2
#s(literal -2 binary64)
1/6
#s(literal 1/6 binary64)
1/2
#s(literal 1/2 binary64)
(+ (* (* (/ 1 6) (pow (pow (* -2 (log u1)) 1/4) 2)) (cos (* (* 2 (PI)) u2))) 1/2)
(fma.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))) #s(literal 1/6 binary64)) #s(literal 1/2 binary64))
(* (* (/ 1 6) (pow (pow (* -2 (log u1)) 1/4) 2)) (cos (* (* 2 (PI)) u2)))
(*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))) #s(literal 1/6 binary64)))
(* (/ 1 6) (pow (pow (* -2 (log u1)) 1/4) 2))
(*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal 1/6 binary64))
(/ 1 6)
#s(literal 1/6 binary64)
1
#s(literal 1 binary64)
6
#s(literal 6 binary64)
(pow (pow (* -2 (log u1)) 1/4) 2)
(sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)))
(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)
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)
(/ (+ (* 1/36 (pow (* (sqrt (* -2 (log u1))) (cos (* 2 (* (PI) u2)))) 2)) -1/4) (+ (* (sqrt (* -2 (log u1))) (* 1/6 (cos (* 2 (* (PI) u2))))) -1/2))
(/.f64 (fma.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))) #s(literal -1/4 binary64)) (fma.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))) #s(literal 1/6 binary64)) #s(literal -1/2 binary64)))
(+ (* 1/36 (pow (* (sqrt (* -2 (log u1))) (cos (* 2 (* (PI) u2)))) 2)) -1/4)
(fma.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))) #s(literal -1/4 binary64))
1/36
#s(literal 1/36 binary64)
(pow (* (sqrt (* -2 (log u1))) (cos (* 2 (* (PI) u2)))) 2)
(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))
(* (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
-1/4
#s(literal -1/4 binary64)
(+ (* (sqrt (* -2 (log u1))) (* 1/6 (cos (* 2 (* (PI) u2))))) -1/2)
(fma.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))) #s(literal 1/6 binary64)) #s(literal -1/2 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)
-1/2
#s(literal -1/2 binary64)
(/ (+ (* 1/216 (pow (* (sqrt (* -2 (log u1))) (cos (* 2 (* (PI) u2)))) 3)) 1/8) (+ (* (* (sqrt (* -2 (log u1))) (* 1/6 (cos (* 2 (* (PI) u2))))) (+ (* (sqrt (* -2 (log u1))) (* 1/6 (cos (* 2 (* (PI) u2))))) -1/2)) 1/4))
(/.f64 (fma.f64 #s(literal 1/216 binary64) (pow.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (fma.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))) (fma.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal -1/12 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))) (*.f64 (log.f64 u1) #s(literal -1/18 binary64)))) #s(literal 1/4 binary64)))
(+ (* 1/216 (pow (* (sqrt (* -2 (log u1))) (cos (* 2 (* (PI) u2)))) 3)) 1/8)
(fma.f64 #s(literal 1/216 binary64) (pow.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))) #s(literal 3 binary64)) #s(literal 1/8 binary64))
1/216
#s(literal 1/216 binary64)
(pow (* (sqrt (* -2 (log u1))) (cos (* 2 (* (PI) u2)))) 3)
(pow.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))) #s(literal 3 binary64))
(* (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
3
#s(literal 3 binary64)
1/8
#s(literal 1/8 binary64)
(+ (* (* (sqrt (* -2 (log u1))) (* 1/6 (cos (* 2 (* (PI) u2))))) (+ (* (sqrt (* -2 (log u1))) (* 1/6 (cos (* 2 (* (PI) u2))))) -1/2)) 1/4)
(fma.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))) (fma.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal -1/12 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))) (*.f64 (log.f64 u1) #s(literal -1/18 binary64)))) #s(literal 1/4 binary64))
(* (sqrt (* -2 (log u1))) (* 1/6 (cos (* 2 (* (PI) u2)))))
(*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))) #s(literal 1/6 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)
(+ (* (sqrt (* -2 (log u1))) (* 1/6 (cos (* 2 (* (PI) u2))))) -1/2)
(fma.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))) #s(literal 1/6 binary64)) #s(literal -1/2 binary64))
-1/2
#s(literal -1/2 binary64)
1/4
#s(literal 1/4 binary64)

localize220.0ms (1.7%)

Memory
-23.3MiB live, 297.7MiB 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%
(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 (*.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
100.0ms256×0invalid
Compiler

Compiled 512 to 54 computations (89.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 71.0ms
ival-mult: 22.0ms (31.1% of total)
const: 9.0ms (12.7% of total)
ival-add: 8.0ms (11.3% of total)
ival-pow: 7.0ms (9.9% of total)
ival-div: 5.0ms (7.1% of total)
ival-pow2: 5.0ms (7.1% of total)
ival-log: 4.0ms (5.7% of total)
ival-cos: 4.0ms (5.7% of total)
ival-sqrt: 4.0ms (5.7% of total)
ival-pi: 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)

series101.0ms (0.8%)

Memory
36.3MiB live, 109.3MiB allocated
Counts
23 → 360
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))>
#<alt (log u1)>
#<alt (* (sqrt -2) 1/6)>
#<alt (pow (pow (* -2 (log u1)) 1/4) 2)>
#<alt (/ 1 6)>
#<alt (+ (* (* (/ 1 6) (pow (pow (* -2 (log u1)) 1/4) 2)) (cos (* (* 2 (PI)) u2))) 1/2)>
#<alt (* (* (/ 1 6) (pow (pow (* -2 (log u1)) 1/4) 2)) (cos (* (* 2 (PI)) u2)))>
#<alt (+ (* 1/36 (pow (* (sqrt (* -2 (log u1))) (cos (* 2 (* (PI) u2)))) 2)) -1/4)>
#<alt (/ (+ (* 1/36 (pow (* (sqrt (* -2 (log u1))) (cos (* 2 (* (PI) u2)))) 2)) -1/4) (+ (* (sqrt (* -2 (log u1))) (* 1/6 (cos (* 2 (* (PI) u2))))) -1/2))>
#<alt (pow (* (sqrt (* -2 (log u1))) (cos (* 2 (* (PI) u2)))) 2)>
#<alt (+ (* (* (sqrt (* -2 (log u1))) (* 1/6 (cos (* 2 (* (PI) u2))))) (+ (* (sqrt (* -2 (log u1))) (* 1/6 (cos (* 2 (* (PI) u2))))) -1/2)) 1/4)>
#<alt (/ (+ (* 1/216 (pow (* (sqrt (* -2 (log u1))) (cos (* 2 (* (PI) u2)))) 3)) 1/8) (+ (* (* (sqrt (* -2 (log u1))) (* 1/6 (cos (* 2 (* (PI) u2))))) (+ (* (sqrt (* -2 (log u1))) (* 1/6 (cos (* 2 (* (PI) u2))))) -1/2)) 1/4))>
#<alt (+ (* 1/216 (pow (* (sqrt (* -2 (log u1))) (cos (* 2 (* (PI) u2)))) 3)) 1/8)>
#<alt (pow (* (sqrt (* -2 (log u1))) (cos (* 2 (* (PI) u2)))) 3)>
#<alt (PI)>
#<alt (cos (* 2 (* (PI) u2)))>
#<alt (sqrt -2)>
#<alt (cos (* (* 2 (PI)) u2))>
Outputs
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#<alt (+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))))>
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#<alt (+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -2) (sqrt -1))) (sqrt (log (/ 1 u1))))))>
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#<alt (+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -2) (sqrt -1))) (sqrt (log (/ 1 u1))))))>
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#<alt (+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))))>
#<alt (+ 1/2 (* 1/6 (* (sqrt (log u1)) (sqrt -2))))>
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#<alt (+ 1/2 (+ (* 1/6 (* (sqrt (log u1)) (sqrt -2))) (* (pow u2 2) (+ (* -1/3 (* (* (pow (PI) 2) (sqrt -2)) (sqrt (log u1)))) (* 1/9 (* (* (pow u2 2) (* (pow (PI) 4) (sqrt -2))) (sqrt (log u1))))))))>
#<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)))))>
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#<alt (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))>
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#<alt (+ (* (sqrt (log u1)) (sqrt -2)) (* (pow u2 2) (+ (* -2 (* (* (pow (PI) 2) (sqrt -2)) (sqrt (log u1)))) (* 2/3 (* (* (pow u2 2) (* (pow (PI) 4) (sqrt -2))) (sqrt (log u1)))))))>
#<alt (+ (* (sqrt (log u1)) (sqrt -2)) (* (pow u2 2) (+ (* -2 (* (* (pow (PI) 2) (sqrt -2)) (sqrt (log u1)))) (* (pow u2 2) (+ (* -4/45 (* (* (pow u2 2) (* (pow (PI) 6) (sqrt -2))) (sqrt (log u1)))) (* 2/3 (* (* (pow (PI) 4) (sqrt -2)) (sqrt (log u1)))))))))>
#<alt (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))>
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#<alt (* (sqrt (log u1)) (sqrt -2))>
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#<alt (* (sqrt (log u1)) (sqrt -2))>
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#<alt (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))>
#<alt (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))>
#<alt (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))>
#<alt (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))>
#<alt (* -2 (log u1))>
#<alt (* -2 (log u1))>
#<alt (* -2 (log u1))>
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#<alt (* 2 (log (/ 1 u1)))>
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#<alt (* -2 (+ (log -1) (* -1 (log (/ -1 u1)))))>
#<alt (* -2 (+ (log -1) (* -1 (log (/ -1 u1)))))>
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#<alt (+ 1/2 (* 1/6 (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1)))))>
#<alt (+ 1/2 (* 1/6 (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1)))))>
#<alt (+ 1/2 (* 1/6 (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))))>
#<alt (+ 1/2 (* 1/6 (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))))>
#<alt (+ 1/2 (* 1/6 (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))))>
#<alt (+ 1/2 (* 1/6 (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))))>
#<alt (sqrt (log u1))>
#<alt (sqrt (log u1))>
#<alt (sqrt (log u1))>
#<alt (sqrt (log u1))>
#<alt (* (sqrt (log (/ 1 u1))) (sqrt -1))>
#<alt (* (sqrt (log (/ 1 u1))) (sqrt -1))>
#<alt (* (sqrt (log (/ 1 u1))) (sqrt -1))>
#<alt (* (sqrt (log (/ 1 u1))) (sqrt -1))>
#<alt (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))>
#<alt (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))>
#<alt (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))>
#<alt (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))>
#<alt (log u1)>
#<alt (log u1)>
#<alt (log u1)>
#<alt (log u1)>
#<alt (* -1 (log (/ 1 u1)))>
#<alt (* -1 (log (/ 1 u1)))>
#<alt (* -1 (log (/ 1 u1)))>
#<alt (* -1 (log (/ 1 u1)))>
#<alt (+ (log -1) (* -1 (log (/ -1 u1))))>
#<alt (+ (log -1) (* -1 (log (/ -1 u1))))>
#<alt (+ (log -1) (* -1 (log (/ -1 u1))))>
#<alt (+ (log -1) (* -1 (log (/ -1 u1))))>
#<alt (* (sqrt (log u1)) (sqrt -2))>
#<alt (* (sqrt (log u1)) (sqrt -2))>
#<alt (* (sqrt (log u1)) (sqrt -2))>
#<alt (* (sqrt (log u1)) (sqrt -2))>
#<alt (* (sqrt (log (/ 1 u1))) (sqrt 2))>
#<alt (* (sqrt (log (/ 1 u1))) (sqrt 2))>
#<alt (* (sqrt (log (/ 1 u1))) (sqrt 2))>
#<alt (* (sqrt (log (/ 1 u1))) (sqrt 2))>
#<alt (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))>
#<alt (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))>
#<alt (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))>
#<alt (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))>
#<alt (+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))))>
#<alt (+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))))>
#<alt (+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))))>
#<alt (+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))))>
#<alt (+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -2) (sqrt -1))) (sqrt (log (/ 1 u1))))))>
#<alt (+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -2) (sqrt -1))) (sqrt (log (/ 1 u1))))))>
#<alt (+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -2) (sqrt -1))) (sqrt (log (/ 1 u1))))))>
#<alt (+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -2) (sqrt -1))) (sqrt (log (/ 1 u1))))))>
#<alt (+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))))>
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#<alt (+ 1/2 (* 1/6 (* (sqrt (log u1)) (sqrt -2))))>
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#<alt (+ 1/2 (+ (* 1/6 (* (sqrt (log u1)) (sqrt -2))) (* (pow u2 2) (+ (* -1/3 (* (* (pow (PI) 2) (sqrt -2)) (sqrt (log u1)))) (* 1/9 (* (* (pow u2 2) (* (pow (PI) 4) (sqrt -2))) (sqrt (log u1))))))))>
#<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)))))>
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#<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)))))>
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#<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)))))>
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#<alt (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))))>
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#<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))))>
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#<alt (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1))))>
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#<alt (- (* 1/36 (* (pow (cos (* 2 (* u2 (PI)))) 2) (* (log u1) (pow (sqrt -2) 2)))) 1/4)>
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#<alt (- (* 1/36 (* (pow (cos (* 2 (* u2 (PI)))) 2) (* (log u1) (pow (sqrt -2) 2)))) 1/4)>
#<alt (- (* 1/36 (* (pow (cos (* 2 (* u2 (PI)))) 2) (* (log u1) (pow (sqrt -2) 2)))) 1/4)>
#<alt (- (* -1/36 (* (pow (cos (* 2 (* u2 (PI)))) 2) (* (log (/ 1 u1)) (pow (sqrt -2) 2)))) 1/4)>
#<alt (- (* -1/36 (* (pow (cos (* 2 (* u2 (PI)))) 2) (* (log (/ 1 u1)) (pow (sqrt -2) 2)))) 1/4)>
#<alt (- (* -1/36 (* (pow (cos (* 2 (* u2 (PI)))) 2) (* (log (/ 1 u1)) (pow (sqrt -2) 2)))) 1/4)>
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#<alt (- (* 1/36 (* (pow (cos (* 2 (* u2 (PI)))) 2) (* (pow (sqrt -2) 2) (+ (log -1) (* -1 (log (/ -1 u1))))))) 1/4)>
#<alt (- (* 1/36 (* (pow (cos (* 2 (* u2 (PI)))) 2) (* (pow (sqrt -2) 2) (+ (log -1) (* -1 (log (/ -1 u1))))))) 1/4)>
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#<alt (- (* 1/36 (* (pow (cos (* 2 (* u2 (PI)))) 2) (* (pow (sqrt -2) 2) (+ (log -1) (* -1 (log (/ -1 u1))))))) 1/4)>
#<alt (- (* 1/36 (* (log u1) (pow (sqrt -2) 2))) 1/4)>
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#<alt (- (+ (* 1/36 (* (log u1) (pow (sqrt -2) 2))) (* (pow u2 2) (+ (* -1/9 (* (pow (PI) 2) (* (log u1) (pow (sqrt -2) 2)))) (* 1/36 (* (pow u2 2) (* (log u1) (* (pow (sqrt -2) 2) (+ (* 4/3 (pow (PI) 4)) (* 4 (pow (PI) 4)))))))))) 1/4)>
#<alt (- (+ (* 1/36 (* (log u1) (pow (sqrt -2) 2))) (* (pow u2 2) (+ (* -1/9 (* (pow (PI) 2) (* (log u1) (pow (sqrt -2) 2)))) (* (pow u2 2) (+ (* 1/36 (* (log u1) (* (pow (sqrt -2) 2) (+ (* 4/3 (pow (PI) 4)) (* 4 (pow (PI) 4)))))) (* 1/36 (* (pow u2 2) (* (log u1) (* (pow (sqrt -2) 2) (+ (* -8/3 (pow (PI) 6)) (* -8/45 (pow (PI) 6)))))))))))) 1/4)>
#<alt (- (* 1/36 (* (pow (cos (* 2 (* u2 (PI)))) 2) (* (log u1) (pow (sqrt -2) 2)))) 1/4)>
#<alt (- (* 1/36 (* (pow (cos (* 2 (* u2 (PI)))) 2) (* (log u1) (pow (sqrt -2) 2)))) 1/4)>
#<alt (- (* 1/36 (* (pow (cos (* 2 (* u2 (PI)))) 2) (* (log u1) (pow (sqrt -2) 2)))) 1/4)>
#<alt (- (* 1/36 (* (pow (cos (* 2 (* u2 (PI)))) 2) (* (log u1) (pow (sqrt -2) 2)))) 1/4)>
#<alt (- (* 1/36 (* (pow (cos (* 2 (* u2 (PI)))) 2) (* (log u1) (pow (sqrt -2) 2)))) 1/4)>
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#<alt (+ 1/8 (* 1/216 (* (* (pow (cos (* 2 (* u2 (PI)))) 3) (pow (sqrt -2) 3)) (sqrt (pow (log u1) 3)))))>
#<alt (+ 1/8 (* 1/216 (* (* (pow (cos (* 2 (* u2 (PI)))) 3) (pow (sqrt -2) 3)) (sqrt (pow (log u1) 3)))))>
#<alt (+ 1/8 (* 1/216 (* (* (pow (cos (* 2 (* u2 (PI)))) 3) (pow (sqrt -2) 3)) (sqrt (pow (log u1) 3)))))>
#<alt (+ 1/8 (* 1/216 (* (* (pow (cos (* 2 (* u2 (PI)))) 3) (pow (sqrt -2) 3)) (sqrt (pow (log u1) 3)))))>
#<alt (* (* (pow (cos (* 2 (* u2 (PI)))) 3) (pow (sqrt -2) 3)) (sqrt (pow (log u1) 3)))>
#<alt (* (* (pow (cos (* 2 (* u2 (PI)))) 3) (pow (sqrt -2) 3)) (sqrt (pow (log u1) 3)))>
#<alt (* (* (pow (cos (* 2 (* u2 (PI)))) 3) (pow (sqrt -2) 3)) (sqrt (pow (log u1) 3)))>
#<alt (* (* (pow (cos (* 2 (* u2 (PI)))) 3) (pow (sqrt -2) 3)) (sqrt (pow (log u1) 3)))>
#<alt (* (* (pow (cos (* 2 (* u2 (PI)))) 3) (* (pow (sqrt -2) 3) (sqrt -1))) (sqrt (pow (log (/ 1 u1)) 3)))>
#<alt (* (* (pow (cos (* 2 (* u2 (PI)))) 3) (* (pow (sqrt -2) 3) (sqrt -1))) (sqrt (pow (log (/ 1 u1)) 3)))>
#<alt (* (* (pow (cos (* 2 (* u2 (PI)))) 3) (* (pow (sqrt -2) 3) (sqrt -1))) (sqrt (pow (log (/ 1 u1)) 3)))>
#<alt (* (* (pow (cos (* 2 (* u2 (PI)))) 3) (* (pow (sqrt -2) 3) (sqrt -1))) (sqrt (pow (log (/ 1 u1)) 3)))>
#<alt (* (* (pow (cos (* 2 (* u2 (PI)))) 3) (pow (sqrt -2) 3)) (sqrt (pow (+ (log -1) (* -1 (log (/ -1 u1)))) 3)))>
#<alt (* (* (pow (cos (* 2 (* u2 (PI)))) 3) (pow (sqrt -2) 3)) (sqrt (pow (+ (log -1) (* -1 (log (/ -1 u1)))) 3)))>
#<alt (* (* (pow (cos (* 2 (* u2 (PI)))) 3) (pow (sqrt -2) 3)) (sqrt (pow (+ (log -1) (* -1 (log (/ -1 u1)))) 3)))>
#<alt (* (* (pow (cos (* 2 (* u2 (PI)))) 3) (pow (sqrt -2) 3)) (sqrt (pow (+ (log -1) (* -1 (log (/ -1 u1)))) 3)))>
#<alt (* (sqrt (pow (log u1) 3)) (pow (sqrt -2) 3))>
#<alt (+ (* (sqrt (pow (log u1) 3)) (pow (sqrt -2) 3)) (* (* (pow u2 2) (* (pow (sqrt -2) 3) (+ (* -4 (pow (PI) 2)) (* -2 (pow (PI) 2))))) (sqrt (pow (log u1) 3))))>
#<alt (+ (* (sqrt (pow (log u1) 3)) (pow (sqrt -2) 3)) (* (pow u2 2) (+ (* (sqrt (pow (log u1) 3)) (* (pow (sqrt -2) 3) (+ (* -4 (pow (PI) 2)) (* -2 (pow (PI) 2))))) (* (* (pow u2 2) (* (pow (sqrt -2) 3) (+ (* 2/3 (pow (PI) 4)) (+ (* 4/3 (pow (PI) 4)) (+ (* 4 (pow (PI) 4)) (* 8 (pow (PI) 4))))))) (sqrt (pow (log u1) 3))))))>
#<alt (+ (* (sqrt (pow (log u1) 3)) (pow (sqrt -2) 3)) (* (pow u2 2) (+ (* (sqrt (pow (log u1) 3)) (* (pow (sqrt -2) 3) (+ (* -4 (pow (PI) 2)) (* -2 (pow (PI) 2))))) (* (pow u2 2) (+ (* (sqrt (pow (log u1) 3)) (* (pow (sqrt -2) 3) (+ (* 2/3 (pow (PI) 4)) (+ (* 4/3 (pow (PI) 4)) (+ (* 4 (pow (PI) 4)) (* 8 (pow (PI) 4))))))) (* (* (pow u2 2) (* (pow (sqrt -2) 3) (+ (* -16/3 (pow (PI) 6)) (+ (* -2 (* (pow (PI) 2) (+ (* 4/3 (pow (PI) 4)) (* 4 (pow (PI) 4))))) (+ (* -8/45 (pow (PI) 6)) (* -4/45 (pow (PI) 6))))))) (sqrt (pow (log u1) 3))))))))>
#<alt (* (* (pow (cos (* 2 (* u2 (PI)))) 3) (pow (sqrt -2) 3)) (sqrt (pow (log u1) 3)))>
#<alt (* (* (pow (cos (* 2 (* u2 (PI)))) 3) (pow (sqrt -2) 3)) (sqrt (pow (log u1) 3)))>
#<alt (* (* (pow (cos (* 2 (* u2 (PI)))) 3) (pow (sqrt -2) 3)) (sqrt (pow (log u1) 3)))>
#<alt (* (* (pow (cos (* 2 (* u2 (PI)))) 3) (pow (sqrt -2) 3)) (sqrt (pow (log u1) 3)))>
#<alt (* (* (pow (cos (* 2 (* u2 (PI)))) 3) (pow (sqrt -2) 3)) (sqrt (pow (log u1) 3)))>
#<alt (* (* (pow (cos (* 2 (* u2 (PI)))) 3) (pow (sqrt -2) 3)) (sqrt (pow (log u1) 3)))>
#<alt (* (* (pow (cos (* 2 (* u2 (PI)))) 3) (pow (sqrt -2) 3)) (sqrt (pow (log u1) 3)))>
#<alt (* (* (pow (cos (* 2 (* u2 (PI)))) 3) (pow (sqrt -2) 3)) (sqrt (pow (log u1) 3)))>
#<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))))>
Calls

90 calls:

TimeVariablePointExpression
46.0ms
u1
@0
(/ (+ (* 1/216 (pow (* (sqrt (* -2 (log u1))) (cos (* 2 (* (PI) u2)))) 3)) 1/8) (+ (* (* (sqrt (* -2 (log u1))) (* 1/6 (cos (* 2 (* (PI) u2))))) (+ (* (sqrt (* -2 (log u1))) (* 1/6 (cos (* 2 (* (PI) u2))))) -1/2)) 1/4))
6.0ms
u2
@0
(/ (+ (* 1/216 (pow (* (sqrt (* -2 (log u1))) (cos (* 2 (* (PI) u2)))) 3)) 1/8) (+ (* (* (sqrt (* -2 (log u1))) (* 1/6 (cos (* 2 (* (PI) u2))))) (+ (* (sqrt (* -2 (log u1))) (* 1/6 (cos (* 2 (* (PI) u2))))) -1/2)) 1/4))
5.0ms
u1
@inf
(+ (* (* (sqrt (* -2 (log u1))) (* 1/6 (cos (* 2 (* (PI) u2))))) (+ (* (sqrt (* -2 (log u1))) (* 1/6 (cos (* 2 (* (PI) u2))))) -1/2)) 1/4)
3.0ms
u2
@inf
(/ (+ (* 1/216 (pow (* (sqrt (* -2 (log u1))) (cos (* 2 (* (PI) u2)))) 3)) 1/8) (+ (* (* (sqrt (* -2 (log u1))) (* 1/6 (cos (* 2 (* (PI) u2))))) (+ (* (sqrt (* -2 (log u1))) (* 1/6 (cos (* 2 (* (PI) u2))))) -1/2)) 1/4))
3.0ms
u2
@0
(/ (+ (* 1/36 (pow (* (sqrt (* -2 (log u1))) (cos (* 2 (* (PI) u2)))) 2)) -1/4) (+ (* (sqrt (* -2 (log u1))) (* 1/6 (cos (* 2 (* (PI) u2))))) -1/2))

rewrite642.0ms (4.8%)

Memory
11.8MiB live, 998.8MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
5 978×*-lowering-*.f32
5 978×*-lowering-*.f64
4 426×accelerator-lowering-fma.f32
4 426×accelerator-lowering-fma.f64
4 424×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
052272
1263271
21623267
08786256
Stop Event
1×iter limit
1×node limit
Counts
23 → 1 102
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))
(log u1)
(* (sqrt -2) 1/6)
(pow (pow (* -2 (log u1)) 1/4) 2)
(/ 1 6)
(+ (* (* (/ 1 6) (pow (pow (* -2 (log u1)) 1/4) 2)) (cos (* (* 2 (PI)) u2))) 1/2)
(* (* (/ 1 6) (pow (pow (* -2 (log u1)) 1/4) 2)) (cos (* (* 2 (PI)) u2)))
(+ (* 1/36 (pow (* (sqrt (* -2 (log u1))) (cos (* 2 (* (PI) u2)))) 2)) -1/4)
(/ (+ (* 1/36 (pow (* (sqrt (* -2 (log u1))) (cos (* 2 (* (PI) u2)))) 2)) -1/4) (+ (* (sqrt (* -2 (log u1))) (* 1/6 (cos (* 2 (* (PI) u2))))) -1/2))
(pow (* (sqrt (* -2 (log u1))) (cos (* 2 (* (PI) u2)))) 2)
(+ (* (* (sqrt (* -2 (log u1))) (* 1/6 (cos (* 2 (* (PI) u2))))) (+ (* (sqrt (* -2 (log u1))) (* 1/6 (cos (* 2 (* (PI) u2))))) -1/2)) 1/4)
(/ (+ (* 1/216 (pow (* (sqrt (* -2 (log u1))) (cos (* 2 (* (PI) u2)))) 3)) 1/8) (+ (* (* (sqrt (* -2 (log u1))) (* 1/6 (cos (* 2 (* (PI) u2))))) (+ (* (sqrt (* -2 (log u1))) (* 1/6 (cos (* 2 (* (PI) u2))))) -1/2)) 1/4))
(+ (* 1/216 (pow (* (sqrt (* -2 (log u1))) (cos (* 2 (* (PI) u2)))) 3)) 1/8)
(pow (* (sqrt (* -2 (log u1))) (cos (* 2 (* (PI) u2)))) 3)
(PI)
(cos (* 2 (* (PI) u2)))
(sqrt -2)
(cos (* (* 2 (PI)) u2))
Outputs
(+.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))) #s(literal 1/6 binary64))))
(+.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))) #s(literal 1/6 binary64))) #s(literal 1/2 binary64))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))) #s(literal -1 binary64)))
(-.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (*.f64 (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 1/36 binary64) (*.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)))))))) (fma.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))) #s(literal 1/6 binary64)) #s(literal -1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (fma.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))) #s(literal 1/6 binary64)) #s(literal -1/2 binary64))))
(-.f64 (/.f64 (/.f64 (pow.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))) #s(literal 1/6 binary64))) #s(literal 6 binary64)) (fma.f64 #s(literal 1/216 binary64) (pow.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))) #s(literal 3 binary64)) #s(literal -1/8 binary64))) (-.f64 (fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))))) (*.f64 #s(literal 1/36 binary64) (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal 1/4 binary64)) (*.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))) #s(literal 1/12 binary64)))) (/.f64 (/.f64 #s(literal 1/64 binary64) (fma.f64 #s(literal 1/216 binary64) (pow.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))) #s(literal 3 binary64)) #s(literal -1/8 binary64))) (-.f64 (fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))))) (*.f64 #s(literal 1/36 binary64) (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal 1/4 binary64)) (*.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))) #s(literal 1/12 binary64)))))
(-.f64 (/.f64 (/.f64 (pow.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))) #s(literal 1/6 binary64))) #s(literal 6 binary64)) (fma.f64 #s(literal 1/216 binary64) (pow.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))) #s(literal 3 binary64)) #s(literal -1/8 binary64))) (+.f64 #s(literal 1/4 binary64) (-.f64 (*.f64 #s(literal 1/36 binary64) (*.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))) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))) #s(literal 1/12 binary64))))) (/.f64 (/.f64 #s(literal 1/64 binary64) (fma.f64 #s(literal 1/216 binary64) (pow.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))) #s(literal 3 binary64)) #s(literal -1/8 binary64))) (+.f64 #s(literal 1/4 binary64) (-.f64 (*.f64 #s(literal 1/36 binary64) (*.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))) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))) #s(literal 1/12 binary64))))))
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (fma.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))) #s(literal 1/6 binary64)) #s(literal -1/2 binary64)))) (/.f64 (fma.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) (*.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)))))) #s(literal 1/36 binary64)) #s(literal -1/4 binary64)) (-.f64 #s(literal 0 binary64) (fma.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))) #s(literal 1/6 binary64)) #s(literal -1/2 binary64)))))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (-.f64 (fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))))) (*.f64 #s(literal 1/36 binary64) (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal 1/4 binary64)) (*.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))) #s(literal 1/12 binary64))))) (/.f64 (fma.f64 #s(literal 1/216 binary64) (pow.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (neg.f64 (-.f64 (fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))))) (*.f64 #s(literal 1/36 binary64) (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal 1/4 binary64)) (*.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))) #s(literal 1/12 binary64))))))
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simplify641.0ms (4.8%)

Memory
16.1MiB live, 1 080.9MiB allocated
Algorithm
1×egg-herbie
Rules
10 186×accelerator-lowering-fma.f32
10 186×accelerator-lowering-fma.f64
9 154×*-lowering-*.f32
9 154×*-lowering-*.f64
2 644×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
047311411
1151910471
2636910260
082439726
Stop Event
1×iter limit
1×node limit
Counts
360 → 360
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))))
Outputs
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))))
(fma.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 u2 (PI.f64)))) (*.f64 (sqrt.f64 (log.f64 u1)) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -2 binary64)))) #s(literal 1/2 binary64))
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))))
(fma.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)))) #s(literal 1/2 binary64))
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))))
(fma.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 u2 (PI.f64)))) (*.f64 (sqrt.f64 (log.f64 u1)) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -2 binary64)))) #s(literal 1/2 binary64))
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))))
(fma.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)))) #s(literal 1/2 binary64))
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -2) (sqrt -1))) (sqrt (log (/ 1 u1))))))
(fma.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 u2 (PI.f64)))) (*.f64 (*.f64 (sqrt.f64 #s(literal -2 binary64)) (sqrt.f64 #s(literal -1 binary64))) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (-.f64 #s(literal 0 binary64) (log.f64 u1))))) #s(literal 1/2 binary64))
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -2) (sqrt -1))) (sqrt (log (/ 1 u1))))))
(fma.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 u2 (PI.f64)))) (*.f64 (*.f64 (sqrt.f64 #s(literal -2 binary64)) (sqrt.f64 #s(literal -1 binary64))) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (-.f64 #s(literal 0 binary64) (log.f64 u1))))) #s(literal 1/2 binary64))
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -2) (sqrt -1))) (sqrt (log (/ 1 u1))))))
(fma.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 u2 (PI.f64)))) (*.f64 (*.f64 (sqrt.f64 #s(literal -2 binary64)) (sqrt.f64 #s(literal -1 binary64))) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (-.f64 #s(literal 0 binary64) (log.f64 u1))))) #s(literal 1/2 binary64))
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -2) (sqrt -1))) (sqrt (log (/ 1 u1))))))
(fma.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 u2 (PI.f64)))) (*.f64 (*.f64 (sqrt.f64 #s(literal -2 binary64)) (sqrt.f64 #s(literal -1 binary64))) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (-.f64 #s(literal 0 binary64) (log.f64 u1))))) #s(literal 1/2 binary64))
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))))
(fma.f64 (sqrt.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) u1)))) (*.f64 (*.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -2 binary64))) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 u2 (PI.f64))))) #s(literal 1/2 binary64))
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))))
(fma.f64 (sqrt.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) u1)))) (*.f64 (*.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -2 binary64))) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 u2 (PI.f64))))) #s(literal 1/2 binary64))
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))))
(fma.f64 (sqrt.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) u1)))) (*.f64 (*.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -2 binary64))) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 u2 (PI.f64))))) #s(literal 1/2 binary64))
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))))
(fma.f64 (sqrt.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) u1)))) (*.f64 (*.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -2 binary64))) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 u2 (PI.f64))))) #s(literal 1/2 binary64))
(+ 1/2 (* 1/6 (* (sqrt (log u1)) (sqrt -2))))
(fma.f64 (sqrt.f64 (log.f64 u1)) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -2 binary64))) #s(literal 1/2 binary64))
(+ 1/2 (+ (* -1/3 (* (* (pow u2 2) (* (pow (PI) 2) (sqrt -2))) (sqrt (log u1)))) (* 1/6 (* (sqrt (log u1)) (sqrt -2)))))
(fma.f64 (sqrt.f64 (log.f64 u1)) (fma.f64 (*.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 (PI.f64) (PI.f64))) (sqrt.f64 #s(literal -2 binary64))) (*.f64 u2 u2) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -2 binary64)))) #s(literal 1/2 binary64))
(+ 1/2 (+ (* 1/6 (* (sqrt (log u1)) (sqrt -2))) (* (pow u2 2) (+ (* -1/3 (* (* (pow (PI) 2) (sqrt -2)) (sqrt (log u1)))) (* 1/9 (* (* (pow u2 2) (* (pow (PI) 4) (sqrt -2))) (sqrt (log u1))))))))
(fma.f64 (*.f64 u2 u2) (*.f64 (sqrt.f64 (log.f64 u1)) (fma.f64 (*.f64 (*.f64 #s(literal 1/9 binary64) (pow.f64 (PI.f64) #s(literal 4 binary64))) (sqrt.f64 #s(literal -2 binary64))) (*.f64 u2 u2) (*.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 (PI.f64) (PI.f64))) (sqrt.f64 #s(literal -2 binary64))))) (fma.f64 (sqrt.f64 (log.f64 u1)) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -2 binary64))) #s(literal 1/2 binary64)))
(+ 1/2 (+ (* 1/6 (* (sqrt (log u1)) (sqrt -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 (fma.f64 (sqrt.f64 (log.f64 u1)) (fma.f64 (*.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 (PI.f64) (PI.f64))) (sqrt.f64 #s(literal -2 binary64))) (*.f64 u2 u2) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -2 binary64)))) #s(literal 1/2 binary64)) (*.f64 (*.f64 (sqrt.f64 (log.f64 u1)) (fma.f64 (*.f64 #s(literal -2/135 binary64) (*.f64 u2 u2)) (*.f64 (sqrt.f64 #s(literal -2 binary64)) (pow.f64 (PI.f64) #s(literal 6 binary64))) (*.f64 (*.f64 #s(literal 1/9 binary64) (pow.f64 (PI.f64) #s(literal 4 binary64))) (sqrt.f64 #s(literal -2 binary64))))) (*.f64 (*.f64 u2 u2) (*.f64 u2 u2))))
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))))
(fma.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 u2 (PI.f64)))) (*.f64 (sqrt.f64 (log.f64 u1)) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -2 binary64)))) #s(literal 1/2 binary64))
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))))
(fma.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)))) #s(literal 1/2 binary64))
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))))
(fma.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 u2 (PI.f64)))) (*.f64 (sqrt.f64 (log.f64 u1)) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -2 binary64)))) #s(literal 1/2 binary64))
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))))
(fma.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)))) #s(literal 1/2 binary64))
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))))
(fma.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 u2 (PI.f64)))) (*.f64 (sqrt.f64 (log.f64 u1)) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -2 binary64)))) #s(literal 1/2 binary64))
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))))
(fma.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)))) #s(literal 1/2 binary64))
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))))
(fma.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 u2 (PI.f64)))) (*.f64 (sqrt.f64 (log.f64 u1)) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -2 binary64)))) #s(literal 1/2 binary64))
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))))
(fma.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)))) #s(literal 1/2 binary64))
(* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))
(*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 u2 (PI.f64)))) (*.f64 (sqrt.f64 #s(literal -2 binary64)) (sqrt.f64 (log.f64 u1))))
(* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))
(*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 u2 (PI.f64)))) (*.f64 (sqrt.f64 #s(literal -2 binary64)) (sqrt.f64 (log.f64 u1))))
(* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))
(*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 u2 (PI.f64)))) (*.f64 (sqrt.f64 #s(literal -2 binary64)) (sqrt.f64 (log.f64 u1))))
(* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))
(*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 u2 (PI.f64)))) (*.f64 (sqrt.f64 #s(literal -2 binary64)) (sqrt.f64 (log.f64 u1))))
(* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -2) (sqrt -1))) (sqrt (log (/ 1 u1))))
(*.f64 (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 u2 (PI.f64)))) (sqrt.f64 #s(literal -2 binary64))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (-.f64 #s(literal 0 binary64) (log.f64 u1)))))
(* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -2) (sqrt -1))) (sqrt (log (/ 1 u1))))
(*.f64 (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 u2 (PI.f64)))) (sqrt.f64 #s(literal -2 binary64))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (-.f64 #s(literal 0 binary64) (log.f64 u1)))))
(* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -2) (sqrt -1))) (sqrt (log (/ 1 u1))))
(*.f64 (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 u2 (PI.f64)))) (sqrt.f64 #s(literal -2 binary64))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (-.f64 #s(literal 0 binary64) (log.f64 u1)))))
(* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -2) (sqrt -1))) (sqrt (log (/ 1 u1))))
(*.f64 (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 u2 (PI.f64)))) (sqrt.f64 #s(literal -2 binary64))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (-.f64 #s(literal 0 binary64) (log.f64 u1)))))
(* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))
(*.f64 (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 u2 (PI.f64)))) (sqrt.f64 #s(literal -2 binary64))) (sqrt.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) u1)))))
(* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))
(*.f64 (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 u2 (PI.f64)))) (sqrt.f64 #s(literal -2 binary64))) (sqrt.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) u1)))))
(* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))
(*.f64 (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 u2 (PI.f64)))) (sqrt.f64 #s(literal -2 binary64))) (sqrt.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) u1)))))
(* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))
(*.f64 (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 u2 (PI.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 (log u1)) (sqrt -2))
(*.f64 (sqrt.f64 #s(literal -2 binary64)) (sqrt.f64 (log.f64 u1)))
(+ (* -2 (* (* (pow u2 2) (* (pow (PI) 2) (sqrt -2))) (sqrt (log u1)))) (* (sqrt (log u1)) (sqrt -2)))
(*.f64 (sqrt.f64 (log.f64 u1)) (fma.f64 (*.f64 (*.f64 u2 u2) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal -2 binary64))) (sqrt.f64 #s(literal -2 binary64)) (sqrt.f64 #s(literal -2 binary64))))
(+ (* (sqrt (log u1)) (sqrt -2)) (* (pow u2 2) (+ (* -2 (* (* (pow (PI) 2) (sqrt -2)) (sqrt (log u1)))) (* 2/3 (* (* (pow u2 2) (* (pow (PI) 4) (sqrt -2))) (sqrt (log u1)))))))
(fma.f64 (*.f64 u2 u2) (*.f64 (sqrt.f64 (log.f64 u1)) (fma.f64 (*.f64 u2 (*.f64 u2 (*.f64 (pow.f64 (PI.f64) #s(literal 4 binary64)) #s(literal 2/3 binary64)))) (sqrt.f64 #s(literal -2 binary64)) (*.f64 (*.f64 (sqrt.f64 #s(literal -2 binary64)) #s(literal -2 binary64)) (*.f64 (PI.f64) (PI.f64))))) (*.f64 (sqrt.f64 #s(literal -2 binary64)) (sqrt.f64 (log.f64 u1))))
(+ (* (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)))))))))
(fma.f64 (sqrt.f64 (log.f64 u1)) (fma.f64 (*.f64 (*.f64 u2 u2) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal -2 binary64))) (sqrt.f64 #s(literal -2 binary64)) (sqrt.f64 #s(literal -2 binary64))) (*.f64 (*.f64 (sqrt.f64 (log.f64 u1)) (fma.f64 (*.f64 (*.f64 u2 u2) (*.f64 (pow.f64 (PI.f64) #s(literal 6 binary64)) #s(literal -4/45 binary64))) (sqrt.f64 #s(literal -2 binary64)) (*.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 4 binary64)) #s(literal 2/3 binary64)) (sqrt.f64 #s(literal -2 binary64))))) (*.f64 (*.f64 u2 u2) (*.f64 u2 u2))))
(* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))
(*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 u2 (PI.f64)))) (*.f64 (sqrt.f64 #s(literal -2 binary64)) (sqrt.f64 (log.f64 u1))))
(* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))
(*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 u2 (PI.f64)))) (*.f64 (sqrt.f64 #s(literal -2 binary64)) (sqrt.f64 (log.f64 u1))))
(* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))
(*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 u2 (PI.f64)))) (*.f64 (sqrt.f64 #s(literal -2 binary64)) (sqrt.f64 (log.f64 u1))))
(* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))
(*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 u2 (PI.f64)))) (*.f64 (sqrt.f64 #s(literal -2 binary64)) (sqrt.f64 (log.f64 u1))))
(* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))
(*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 u2 (PI.f64)))) (*.f64 (sqrt.f64 #s(literal -2 binary64)) (sqrt.f64 (log.f64 u1))))
(* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))
(*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 u2 (PI.f64)))) (*.f64 (sqrt.f64 #s(literal -2 binary64)) (sqrt.f64 (log.f64 u1))))
(* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))
(*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 u2 (PI.f64)))) (*.f64 (sqrt.f64 #s(literal -2 binary64)) (sqrt.f64 (log.f64 u1))))
(* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))
(*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 u2 (PI.f64)))) (*.f64 (sqrt.f64 #s(literal -2 binary64)) (sqrt.f64 (log.f64 u1))))
(* (sqrt (log u1)) (sqrt -2))
(*.f64 (sqrt.f64 #s(literal -2 binary64)) (sqrt.f64 (log.f64 u1)))
(* (sqrt (log u1)) (sqrt -2))
(*.f64 (sqrt.f64 #s(literal -2 binary64)) (sqrt.f64 (log.f64 u1)))
(* (sqrt (log u1)) (sqrt -2))
(*.f64 (sqrt.f64 #s(literal -2 binary64)) (sqrt.f64 (log.f64 u1)))
(* (sqrt (log u1)) (sqrt -2))
(*.f64 (sqrt.f64 #s(literal -2 binary64)) (sqrt.f64 (log.f64 u1)))
(* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1)))
(*.f64 (sqrt.f64 #s(literal -2 binary64)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (-.f64 #s(literal 0 binary64) (log.f64 u1)))))
(* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1)))
(*.f64 (sqrt.f64 #s(literal -2 binary64)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (-.f64 #s(literal 0 binary64) (log.f64 u1)))))
(* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1)))
(*.f64 (sqrt.f64 #s(literal -2 binary64)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (-.f64 #s(literal 0 binary64) (log.f64 u1)))))
(* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1)))
(*.f64 (sqrt.f64 #s(literal -2 binary64)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (-.f64 #s(literal 0 binary64) (log.f64 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))))))
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(fma.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 u2 (PI.f64)))) #s(literal 3 binary64)) (*.f64 (sqrt.f64 (pow.f64 (log.f64 u1) #s(literal 3 binary64))) (*.f64 (*.f64 (sqrt.f64 #s(literal -2 binary64)) #s(literal -2 binary64)) #s(literal 1/216 binary64))) #s(literal 1/8 binary64))
(* (* (pow (cos (* 2 (* u2 (PI)))) 3) (pow (sqrt -2) 3)) (sqrt (pow (log u1) 3)))
(*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 u2 (PI.f64)))) #s(literal 3 binary64)) (*.f64 (*.f64 (sqrt.f64 #s(literal -2 binary64)) #s(literal -2 binary64)) (sqrt.f64 (pow.f64 (log.f64 u1) #s(literal 3 binary64)))))
(* (* (pow (cos (* 2 (* u2 (PI)))) 3) (pow (sqrt -2) 3)) (sqrt (pow (log u1) 3)))
(*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 u2 (PI.f64)))) #s(literal 3 binary64)) (*.f64 (*.f64 (sqrt.f64 #s(literal -2 binary64)) #s(literal -2 binary64)) (sqrt.f64 (pow.f64 (log.f64 u1) #s(literal 3 binary64)))))
(* (* (pow (cos (* 2 (* u2 (PI)))) 3) (pow (sqrt -2) 3)) (sqrt (pow (log u1) 3)))
(*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 u2 (PI.f64)))) #s(literal 3 binary64)) (*.f64 (*.f64 (sqrt.f64 #s(literal -2 binary64)) #s(literal -2 binary64)) (sqrt.f64 (pow.f64 (log.f64 u1) #s(literal 3 binary64)))))
(* (* (pow (cos (* 2 (* u2 (PI)))) 3) (pow (sqrt -2) 3)) (sqrt (pow (log u1) 3)))
(*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 u2 (PI.f64)))) #s(literal 3 binary64)) (*.f64 (*.f64 (sqrt.f64 #s(literal -2 binary64)) #s(literal -2 binary64)) (sqrt.f64 (pow.f64 (log.f64 u1) #s(literal 3 binary64)))))
(* (* (pow (cos (* 2 (* u2 (PI)))) 3) (* (pow (sqrt -2) 3) (sqrt -1))) (sqrt (pow (log (/ 1 u1)) 3)))
(*.f64 (*.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 u1) #s(literal 3 binary64)))) (pow.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 u2 (PI.f64)))) #s(literal 3 binary64))) (*.f64 (sqrt.f64 #s(literal -2 binary64)) (*.f64 #s(literal -2 binary64) (sqrt.f64 #s(literal -1 binary64)))))
(* (* (pow (cos (* 2 (* u2 (PI)))) 3) (* (pow (sqrt -2) 3) (sqrt -1))) (sqrt (pow (log (/ 1 u1)) 3)))
(*.f64 (*.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 u1) #s(literal 3 binary64)))) (pow.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 u2 (PI.f64)))) #s(literal 3 binary64))) (*.f64 (sqrt.f64 #s(literal -2 binary64)) (*.f64 #s(literal -2 binary64) (sqrt.f64 #s(literal -1 binary64)))))
(* (* (pow (cos (* 2 (* u2 (PI)))) 3) (* (pow (sqrt -2) 3) (sqrt -1))) (sqrt (pow (log (/ 1 u1)) 3)))
(*.f64 (*.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 u1) #s(literal 3 binary64)))) (pow.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 u2 (PI.f64)))) #s(literal 3 binary64))) (*.f64 (sqrt.f64 #s(literal -2 binary64)) (*.f64 #s(literal -2 binary64) (sqrt.f64 #s(literal -1 binary64)))))
(* (* (pow (cos (* 2 (* u2 (PI)))) 3) (* (pow (sqrt -2) 3) (sqrt -1))) (sqrt (pow (log (/ 1 u1)) 3)))
(*.f64 (*.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 u1) #s(literal 3 binary64)))) (pow.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 u2 (PI.f64)))) #s(literal 3 binary64))) (*.f64 (sqrt.f64 #s(literal -2 binary64)) (*.f64 #s(literal -2 binary64) (sqrt.f64 #s(literal -1 binary64)))))
(* (* (pow (cos (* 2 (* u2 (PI)))) 3) (pow (sqrt -2) 3)) (sqrt (pow (+ (log -1) (* -1 (log (/ -1 u1)))) 3)))
(*.f64 (*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 u2 (PI.f64)))) #s(literal 3 binary64)) (*.f64 (sqrt.f64 #s(literal -2 binary64)) #s(literal -2 binary64))) (sqrt.f64 (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) u1))) #s(literal 3 binary64))))
(* (* (pow (cos (* 2 (* u2 (PI)))) 3) (pow (sqrt -2) 3)) (sqrt (pow (+ (log -1) (* -1 (log (/ -1 u1)))) 3)))
(*.f64 (*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 u2 (PI.f64)))) #s(literal 3 binary64)) (*.f64 (sqrt.f64 #s(literal -2 binary64)) #s(literal -2 binary64))) (sqrt.f64 (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) u1))) #s(literal 3 binary64))))
(* (* (pow (cos (* 2 (* u2 (PI)))) 3) (pow (sqrt -2) 3)) (sqrt (pow (+ (log -1) (* -1 (log (/ -1 u1)))) 3)))
(*.f64 (*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 u2 (PI.f64)))) #s(literal 3 binary64)) (*.f64 (sqrt.f64 #s(literal -2 binary64)) #s(literal -2 binary64))) (sqrt.f64 (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) u1))) #s(literal 3 binary64))))
(* (* (pow (cos (* 2 (* u2 (PI)))) 3) (pow (sqrt -2) 3)) (sqrt (pow (+ (log -1) (* -1 (log (/ -1 u1)))) 3)))
(*.f64 (*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 u2 (PI.f64)))) #s(literal 3 binary64)) (*.f64 (sqrt.f64 #s(literal -2 binary64)) #s(literal -2 binary64))) (sqrt.f64 (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) u1))) #s(literal 3 binary64))))
(* (sqrt (pow (log u1) 3)) (pow (sqrt -2) 3))
(*.f64 (*.f64 (sqrt.f64 #s(literal -2 binary64)) #s(literal -2 binary64)) (sqrt.f64 (pow.f64 (log.f64 u1) #s(literal 3 binary64))))
(+ (* (sqrt (pow (log u1) 3)) (pow (sqrt -2) 3)) (* (* (pow u2 2) (* (pow (sqrt -2) 3) (+ (* -4 (pow (PI) 2)) (* -2 (pow (PI) 2))))) (sqrt (pow (log u1) 3))))
(*.f64 (sqrt.f64 (pow.f64 (log.f64 u1) #s(literal 3 binary64))) (fma.f64 (sqrt.f64 #s(literal -2 binary64)) #s(literal -2 binary64) (*.f64 (*.f64 u2 u2) (*.f64 (sqrt.f64 #s(literal -2 binary64)) (*.f64 #s(literal -2 binary64) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal -6 binary64)))))))
(+ (* (sqrt (pow (log u1) 3)) (pow (sqrt -2) 3)) (* (pow u2 2) (+ (* (sqrt (pow (log u1) 3)) (* (pow (sqrt -2) 3) (+ (* -4 (pow (PI) 2)) (* -2 (pow (PI) 2))))) (* (* (pow u2 2) (* (pow (sqrt -2) 3) (+ (* 2/3 (pow (PI) 4)) (+ (* 4/3 (pow (PI) 4)) (+ (* 4 (pow (PI) 4)) (* 8 (pow (PI) 4))))))) (sqrt (pow (log u1) 3))))))
(*.f64 (sqrt.f64 (pow.f64 (log.f64 u1) #s(literal 3 binary64))) (+.f64 (fma.f64 (sqrt.f64 #s(literal -2 binary64)) #s(literal -2 binary64) (*.f64 (*.f64 u2 u2) (*.f64 (sqrt.f64 #s(literal -2 binary64)) (*.f64 #s(literal -2 binary64) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal -6 binary64)))))) (*.f64 (*.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 4 binary64)) #s(literal 14 binary64)) (*.f64 u2 (*.f64 u2 (*.f64 (sqrt.f64 #s(literal -2 binary64)) #s(literal -2 binary64))))) (*.f64 u2 u2))))
(+ (* (sqrt (pow (log u1) 3)) (pow (sqrt -2) 3)) (* (pow u2 2) (+ (* (sqrt (pow (log u1) 3)) (* (pow (sqrt -2) 3) (+ (* -4 (pow (PI) 2)) (* -2 (pow (PI) 2))))) (* (pow u2 2) (+ (* (sqrt (pow (log u1) 3)) (* (pow (sqrt -2) 3) (+ (* 2/3 (pow (PI) 4)) (+ (* 4/3 (pow (PI) 4)) (+ (* 4 (pow (PI) 4)) (* 8 (pow (PI) 4))))))) (* (* (pow u2 2) (* (pow (sqrt -2) 3) (+ (* -16/3 (pow (PI) 6)) (+ (* -2 (* (pow (PI) 2) (+ (* 4/3 (pow (PI) 4)) (* 4 (pow (PI) 4))))) (+ (* -8/45 (pow (PI) 6)) (* -4/45 (pow (PI) 6))))))) (sqrt (pow (log u1) 3))))))))
(fma.f64 (sqrt.f64 (pow.f64 (log.f64 u1) #s(literal 3 binary64))) (fma.f64 (sqrt.f64 #s(literal -2 binary64)) #s(literal -2 binary64) (*.f64 (*.f64 u2 u2) (*.f64 (sqrt.f64 #s(literal -2 binary64)) (*.f64 #s(literal -2 binary64) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal -6 binary64)))))) (*.f64 (*.f64 u2 u2) (*.f64 (*.f64 (*.f64 u2 u2) (sqrt.f64 (pow.f64 (log.f64 u1) #s(literal 3 binary64)))) (*.f64 (*.f64 (sqrt.f64 #s(literal -2 binary64)) #s(literal -2 binary64)) (fma.f64 (fma.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (pow.f64 (PI.f64) #s(literal 4 binary64)) #s(literal -32/3 binary64)) (*.f64 (pow.f64 (PI.f64) #s(literal 6 binary64)) #s(literal -28/5 binary64))) (*.f64 u2 u2) (*.f64 (pow.f64 (PI.f64) #s(literal 4 binary64)) #s(literal 14 binary64)))))))
(* (* (pow (cos (* 2 (* u2 (PI)))) 3) (pow (sqrt -2) 3)) (sqrt (pow (log u1) 3)))
(*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 u2 (PI.f64)))) #s(literal 3 binary64)) (*.f64 (*.f64 (sqrt.f64 #s(literal -2 binary64)) #s(literal -2 binary64)) (sqrt.f64 (pow.f64 (log.f64 u1) #s(literal 3 binary64)))))
(* (* (pow (cos (* 2 (* u2 (PI)))) 3) (pow (sqrt -2) 3)) (sqrt (pow (log u1) 3)))
(*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 u2 (PI.f64)))) #s(literal 3 binary64)) (*.f64 (*.f64 (sqrt.f64 #s(literal -2 binary64)) #s(literal -2 binary64)) (sqrt.f64 (pow.f64 (log.f64 u1) #s(literal 3 binary64)))))
(* (* (pow (cos (* 2 (* u2 (PI)))) 3) (pow (sqrt -2) 3)) (sqrt (pow (log u1) 3)))
(*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 u2 (PI.f64)))) #s(literal 3 binary64)) (*.f64 (*.f64 (sqrt.f64 #s(literal -2 binary64)) #s(literal -2 binary64)) (sqrt.f64 (pow.f64 (log.f64 u1) #s(literal 3 binary64)))))
(* (* (pow (cos (* 2 (* u2 (PI)))) 3) (pow (sqrt -2) 3)) (sqrt (pow (log u1) 3)))
(*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 u2 (PI.f64)))) #s(literal 3 binary64)) (*.f64 (*.f64 (sqrt.f64 #s(literal -2 binary64)) #s(literal -2 binary64)) (sqrt.f64 (pow.f64 (log.f64 u1) #s(literal 3 binary64)))))
(* (* (pow (cos (* 2 (* u2 (PI)))) 3) (pow (sqrt -2) 3)) (sqrt (pow (log u1) 3)))
(*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 u2 (PI.f64)))) #s(literal 3 binary64)) (*.f64 (*.f64 (sqrt.f64 #s(literal -2 binary64)) #s(literal -2 binary64)) (sqrt.f64 (pow.f64 (log.f64 u1) #s(literal 3 binary64)))))
(* (* (pow (cos (* 2 (* u2 (PI)))) 3) (pow (sqrt -2) 3)) (sqrt (pow (log u1) 3)))
(*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 u2 (PI.f64)))) #s(literal 3 binary64)) (*.f64 (*.f64 (sqrt.f64 #s(literal -2 binary64)) #s(literal -2 binary64)) (sqrt.f64 (pow.f64 (log.f64 u1) #s(literal 3 binary64)))))
(* (* (pow (cos (* 2 (* u2 (PI)))) 3) (pow (sqrt -2) 3)) (sqrt (pow (log u1) 3)))
(*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 u2 (PI.f64)))) #s(literal 3 binary64)) (*.f64 (*.f64 (sqrt.f64 #s(literal -2 binary64)) #s(literal -2 binary64)) (sqrt.f64 (pow.f64 (log.f64 u1) #s(literal 3 binary64)))))
(* (* (pow (cos (* 2 (* u2 (PI)))) 3) (pow (sqrt -2) 3)) (sqrt (pow (log u1) 3)))
(*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 u2 (PI.f64)))) #s(literal 3 binary64)) (*.f64 (*.f64 (sqrt.f64 #s(literal -2 binary64)) #s(literal -2 binary64)) (sqrt.f64 (pow.f64 (log.f64 u1) #s(literal 3 binary64)))))
1
#s(literal 1 binary64)
(+ 1 (* -2 (* (pow u2 2) (pow (PI) 2))))
(fma.f64 (*.f64 u2 u2) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal -2 binary64)) #s(literal 1 binary64))
(+ 1 (* (pow u2 2) (+ (* -2 (pow (PI) 2)) (* 2/3 (* (pow u2 2) (pow (PI) 4))))))
(fma.f64 (*.f64 u2 u2) (fma.f64 u2 (*.f64 u2 (*.f64 (pow.f64 (PI.f64) #s(literal 4 binary64)) #s(literal 2/3 binary64))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal -2 binary64))) #s(literal 1 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)))))))
(fma.f64 (*.f64 u2 u2) (fma.f64 (*.f64 u2 u2) (fma.f64 (*.f64 u2 u2) (*.f64 (pow.f64 (PI.f64) #s(literal 6 binary64)) #s(literal -4/45 binary64)) (*.f64 (pow.f64 (PI.f64) #s(literal 4 binary64)) #s(literal 2/3 binary64))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal -2 binary64))) #s(literal 1 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))))
(fma.f64 (*.f64 u2 u2) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal -2 binary64)) #s(literal 1 binary64))
(+ 1 (* (pow u2 2) (+ (* -2 (pow (PI) 2)) (* 2/3 (* (pow u2 2) (pow (PI) 4))))))
(fma.f64 (*.f64 u2 u2) (fma.f64 u2 (*.f64 u2 (*.f64 (pow.f64 (PI.f64) #s(literal 4 binary64)) #s(literal 2/3 binary64))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal -2 binary64))) #s(literal 1 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)))))))
(fma.f64 (*.f64 u2 u2) (fma.f64 (*.f64 u2 u2) (fma.f64 (*.f64 u2 u2) (*.f64 (pow.f64 (PI.f64) #s(literal 6 binary64)) #s(literal -4/45 binary64)) (*.f64 (pow.f64 (PI.f64) #s(literal 4 binary64)) #s(literal 2/3 binary64))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal -2 binary64))) #s(literal 1 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))))

eval762.0ms (5.7%)

Memory
-3.6MiB live, 837.9MiB allocated
Compiler

Compiled 124 575 to 5 148 computations (95.9% saved)

prune236.0ms (1.8%)

Memory
-4.0MiB live, 466.4MiB allocated
Pruning

21 alts after pruning (20 fresh and 1 done)

PrunedKeptTotal
New2 474182 492
Fresh11213
Picked415
Done000
Total2 489212 510
Accuracy
100.0%
Counts
2 510 → 21
Alt Table
Click to see full alt table
StatusAccuracyProgram
97.5%
(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)) #s(literal 1/6 binary64)) #s(literal 1/2 binary64))
99.1%
(fma.f64 (pow.f64 (sqrt.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) #s(literal 1/2 binary64))
98.2%
(fma.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (fma.f64 (*.f64 u2 u2) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal -2 binary64)) #s(literal 1 binary64))) #s(literal 1/6 binary64) #s(literal 1/2 binary64))
▶99.5%
(fma.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64)))) u2)))) #s(literal 1/6 binary64) #s(literal 1/2 binary64))
✓99.5%
(fma.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))) #s(literal 1/6 binary64) #s(literal 1/2 binary64))
▶99.5%
(fma.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal 1/6 binary64)) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))) #s(literal 1/2 binary64))
▶99.0%
(fma.f64 (*.f64 (exp.f64 (*.f64 #s(literal 1/2 binary64) (log.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))
▶97.8%
(fma.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal 1/6 binary64) #s(literal 1/2 binary64))
99.1%
(/.f64 (fma.f64 #s(literal 1/36 binary64) (pow.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))) u2)))) #s(literal 2 binary64)) #s(literal -1/4 binary64)) (fma.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))) #s(literal -1/2 binary64)))
97.3%
(/.f64 (fma.f64 #s(literal 1/36 binary64) (pow.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))) #s(literal 2 binary64)) #s(literal -1/4 binary64)) (fma.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (*.f64 #s(literal 1/6 binary64) #s(literal 1 binary64)) #s(literal -1/2 binary64)))
97.5%
(/.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal -1/4 binary64)) (fma.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal 1/6 binary64) #s(literal -1/2 binary64)))
97.6%
(/.f64 (fma.f64 #s(literal 1/216 binary64) (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 3/2 binary64)) #s(literal 1/8 binary64)) (-.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/4 binary64)) (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal 1/12 binary64))))
97.5%
(/.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/36 binary64) (*.f64 #s(literal -2 binary64) (log.f64 u1)))) (-.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal 1/6 binary64))))
97.5%
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal 2 binary64)) #s(literal 1/16 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/4 binary64)) (fma.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal 1/6 binary64) #s(literal -1/2 binary64))))
97.5%
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal 1/6 binary64) #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/36 binary64) (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal -1/4 binary64))))
99.4%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))) #s(literal 1/6 binary64)) #s(literal 1/2 binary64))))
97.4%
(-.f64 (/.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 #s(literal -2 binary64) (log.f64 u1))) (fma.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) (fma.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal 1/6 binary64) #s(literal -1/2 binary64))))
99.5%
(+.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) (*.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (log.f64 u1))) (sqrt.f64 #s(literal 2 binary64)))) (cos.f64 (*.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) u2))) #s(literal 1/2 binary64))
▶97.5%
(*.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal -1/4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal 1/6 binary64) #s(literal -1/2 binary64))))
97.5%
(*.f64 (fma.f64 #s(literal 1/216 binary64) (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 3/2 binary64)) #s(literal 1/8 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/4 binary64)) (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal 1/12 binary64)))))
99.2%
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))) #s(literal -1 binary64)))
Compiler

Compiled 937 to 703 computations (25% saved)

simplify16.0ms (0.1%)

Memory
21.3MiB live, 59.9MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(*.f64 #s(literal 1/2 binary64) (log.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))))
✓cost-diff0
(*.f64 (exp.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))))) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))))
✓cost-diff0
(fma.f64 (*.f64 (exp.f64 (*.f64 #s(literal 1/2 binary64) (log.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))
✓cost-diff12480
(exp.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)))))
✓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 (*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64)))) u2))))
✓cost-diff0
(fma.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64)))) u2)))) #s(literal 1/6 binary64) #s(literal 1/2 binary64))
✓cost-diff0
(log.f64 u1)
✓cost-diff0
(*.f64 #s(literal -2 binary64) (log.f64 u1))
✓cost-diff320
(fma.f64 #s(literal 1/36 binary64) (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal -1/4 binary64))
✓cost-diff320
(*.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal -1/4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal 1/6 binary64) #s(literal -1/2 binary64))))
✓cost-diff0
(log.f64 u1)
✓cost-diff0
(*.f64 #s(literal -2 binary64) (log.f64 u1))
✓cost-diff0
(sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)))
✓cost-diff0
(fma.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
(fma.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal 1/6 binary64)) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))) #s(literal 1/2 binary64))
Rules
336×*-lowering-*.f32
336×*-lowering-*.f64
154×associate-*r*
106×*-commutative
100×associate-*l*
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
043339
186335
2149334
3243334
4315334
5344334
0344325
Stop Event
1×iter limit
1×saturated
Calls
Call 1
Inputs
(+ (* (* (sqrt (* -2 (log u1))) 1/6) (cos (* 2 (* (PI) u2)))) 1/2)
(* (sqrt (* -2 (log u1))) 1/6)
(sqrt (* -2 (log u1)))
(* -2 (log u1))
-2
(log u1)
u1
1/6
(cos (* 2 (* (PI) u2)))
(* 2 (* (PI) u2))
2
(* (PI) u2)
(PI)
u2
1/2
(+ (* (sqrt (* -2 (log u1))) 1/6) 1/2)
(sqrt (* -2 (log u1)))
(* -2 (log u1))
-2
(log u1)
u1
1/6
1/2
(* (+ (* 1/36 (* -2 (log u1))) -1/4) (/ 1 (+ (* (sqrt (* -2 (log u1))) 1/6) -1/2)))
(+ (* 1/36 (* -2 (log u1))) -1/4)
1/36
(* -2 (log u1))
-2
(log u1)
u1
-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
-1/2
(+ (* (* (sqrt (* -2 (log u1))) (cos (* 2 (* (* (sqrt (* (PI) (sqrt (PI)))) (sqrt (sqrt (PI)))) u2)))) 1/6) 1/2)
(* (sqrt (* -2 (log u1))) (cos (* 2 (* (* (sqrt (* (PI) (sqrt (PI)))) (sqrt (sqrt (PI)))) u2))))
(sqrt (* -2 (log u1)))
(* -2 (log u1))
-2
(log u1)
u1
(cos (* 2 (* (* (sqrt (* (PI) (sqrt (PI)))) (sqrt (sqrt (PI)))) u2)))
(* 2 (* (* (sqrt (* (PI) (sqrt (PI)))) (sqrt (sqrt (PI)))) u2))
2
(* (* (sqrt (* (PI) (sqrt (PI)))) (sqrt (sqrt (PI)))) u2)
(* (sqrt (* (PI) (sqrt (PI)))) (sqrt (sqrt (PI))))
(sqrt (* (PI) (sqrt (PI))))
(* (PI) (sqrt (PI)))
(PI)
(sqrt (PI))
(sqrt (sqrt (PI)))
u2
1/6
1/2
(+ (* (* (exp (* 1/2 (log (* -2 (log u1))))) (cos (* 2 (* (PI) u2)))) 1/6) 1/2)
(* (exp (* 1/2 (log (* -2 (log u1))))) (cos (* 2 (* (PI) u2))))
(exp (* 1/2 (log (* -2 (log u1)))))
(* 1/2 (log (* -2 (log u1))))
1/2
(log (* -2 (log u1)))
(* -2 (log u1))
-2
(log u1)
u1
(cos (* 2 (* (PI) u2)))
(* 2 (* (PI) u2))
2
(* (PI) u2)
(PI)
u2
1/6
Outputs
(+ (* (* (sqrt (* -2 (log u1))) 1/6) (cos (* 2 (* (PI) u2)))) 1/2)
(fma.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 (PI.f64) (*.f64 #s(literal 2 binary64) u2)))) #s(literal 1/2 binary64))
(* (sqrt (* -2 (log u1))) 1/6)
(*.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
#s(literal 1/6 binary64)
(cos (* 2 (* (PI) u2)))
(cos.f64 (*.f64 (PI.f64) (*.f64 #s(literal 2 binary64) u2)))
(* 2 (* (PI) u2))
(*.f64 (PI.f64) (*.f64 #s(literal 2 binary64) u2))
2
#s(literal 2 binary64)
(* (PI) u2)
(*.f64 (PI.f64) u2)
(PI)
(PI.f64)
u2
1/2
#s(literal 1/2 binary64)
(+ (* (sqrt (* -2 (log u1))) 1/6) 1/2)
(fma.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal 1/6 binary64) #s(literal 1/2 binary64))
(sqrt (* -2 (log u1)))
(sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)))
(* -2 (log u1))
(*.f64 #s(literal -2 binary64) (log.f64 u1))
-2
#s(literal -2 binary64)
(log u1)
(log.f64 u1)
u1
1/6
#s(literal 1/6 binary64)
1/2
#s(literal 1/2 binary64)
(* (+ (* 1/36 (* -2 (log u1))) -1/4) (/ 1 (+ (* (sqrt (* -2 (log u1))) 1/6) -1/2)))
(/.f64 (fma.f64 (log.f64 u1) #s(literal -1/18 binary64) #s(literal -1/4 binary64)) (fma.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal 1/6 binary64) #s(literal -1/2 binary64)))
(+ (* 1/36 (* -2 (log u1))) -1/4)
(fma.f64 (log.f64 u1) #s(literal -1/18 binary64) #s(literal -1/4 binary64))
1/36
#s(literal 1/36 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)
(/ 1 (+ (* (sqrt (* -2 (log u1))) 1/6) -1/2))
(/.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal 1/6 binary64) #s(literal -1/2 binary64)))
1
#s(literal 1 binary64)
(+ (* (sqrt (* -2 (log u1))) 1/6) -1/2)
(fma.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal 1/6 binary64) #s(literal -1/2 binary64))
(sqrt (* -2 (log u1)))
(sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)))
1/6
#s(literal 1/6 binary64)
-1/2
#s(literal -1/2 binary64)
(+ (* (* (sqrt (* -2 (log u1))) (cos (* 2 (* (* (sqrt (* (PI) (sqrt (PI)))) (sqrt (sqrt (PI)))) u2)))) 1/6) 1/2)
(fma.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal 1/6 binary64)) (cos.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (*.f64 (sqrt.f64 (sqrt.f64 (PI.f64))) (*.f64 #s(literal 2 binary64) u2)))) #s(literal 1/2 binary64))
(* (sqrt (* -2 (log u1))) (cos (* 2 (* (* (sqrt (* (PI) (sqrt (PI)))) (sqrt (sqrt (PI)))) u2))))
(*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (cos.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (*.f64 (sqrt.f64 (sqrt.f64 (PI.f64))) (*.f64 #s(literal 2 binary64) 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 (* (* (sqrt (* (PI) (sqrt (PI)))) (sqrt (sqrt (PI)))) u2)))
(cos.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (*.f64 (sqrt.f64 (sqrt.f64 (PI.f64))) (*.f64 #s(literal 2 binary64) u2))))
(* 2 (* (* (sqrt (* (PI) (sqrt (PI)))) (sqrt (sqrt (PI)))) u2))
(*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (*.f64 (sqrt.f64 (sqrt.f64 (PI.f64))) (*.f64 #s(literal 2 binary64) u2)))
2
#s(literal 2 binary64)
(* (* (sqrt (* (PI) (sqrt (PI)))) (sqrt (sqrt (PI)))) u2)
(*.f64 u2 (*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64)))))
(* (sqrt (* (PI) (sqrt (PI)))) (sqrt (sqrt (PI))))
(*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64))))
(sqrt (* (PI) (sqrt (PI))))
(sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64))))
(* (PI) (sqrt (PI)))
(*.f64 (PI.f64) (sqrt.f64 (PI.f64)))
(PI)
(PI.f64)
(sqrt (PI))
(sqrt.f64 (PI.f64))
(sqrt (sqrt (PI)))
(sqrt.f64 (sqrt.f64 (PI.f64)))
u2
1/6
#s(literal 1/6 binary64)
1/2
#s(literal 1/2 binary64)
(+ (* (* (exp (* 1/2 (log (* -2 (log u1))))) (cos (* 2 (* (PI) u2)))) 1/6) 1/2)
(fma.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 (PI.f64) (*.f64 #s(literal 2 binary64) u2)))) #s(literal 1/2 binary64))
(* (exp (* 1/2 (log (* -2 (log u1))))) (cos (* 2 (* (PI) u2))))
(*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (cos.f64 (*.f64 (PI.f64) (*.f64 #s(literal 2 binary64) u2))))
(exp (* 1/2 (log (* -2 (log u1)))))
(sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)))
(* 1/2 (log (* -2 (log u1))))
(*.f64 #s(literal 1/2 binary64) (log.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))))
1/2
#s(literal 1/2 binary64)
(log (* -2 (log u1)))
(log.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)))
(* -2 (log u1))
(*.f64 #s(literal -2 binary64) (log.f64 u1))
-2
#s(literal -2 binary64)
(log u1)
(log.f64 u1)
u1
(cos (* 2 (* (PI) u2)))
(cos.f64 (*.f64 (PI.f64) (*.f64 #s(literal 2 binary64) u2)))
(* 2 (* (PI) u2))
(*.f64 (PI.f64) (*.f64 #s(literal 2 binary64) u2))
2
#s(literal 2 binary64)
(* (PI) u2)
(*.f64 (PI.f64) u2)
(PI)
(PI.f64)
u2
1/6
#s(literal 1/6 binary64)

localize179.0ms (1.3%)

Memory
-17.2MiB live, 268.4MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
✓accuracy99.9%
(log.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)))
✓accuracy99.5%
(*.f64 (PI.f64) u2)
✓accuracy99.5%
(fma.f64 (*.f64 (exp.f64 (*.f64 #s(literal 1/2 binary64) (log.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))
✓accuracy98.9%
(exp.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)))))
✓accuracy99.5%
(*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64)))) u2)
✓accuracy99.5%
(fma.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64)))) u2)))) #s(literal 1/6 binary64) #s(literal 1/2 binary64))
✓accuracy98.4%
(*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64))))
✓accuracy98.4%
(sqrt.f64 (PI.f64))
✓accuracy99.6%
(/.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal 1/6 binary64) #s(literal -1/2 binary64)))
✓accuracy99.5%
(*.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal -1/4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal 1/6 binary64) #s(literal -1/2 binary64))))
✓accuracy99.4%
(fma.f64 #s(literal 1/36 binary64) (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal -1/4 binary64))
✓accuracy99.3%
(fma.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal 1/6 binary64) #s(literal -1/2 binary64))
✓accuracy100.0%
(*.f64 #s(literal -2 binary64) (log.f64 u1))
✓accuracy100.0%
(log.f64 u1)
✓accuracy99.8%
(sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)))
✓accuracy99.5%
(fma.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal 1/6 binary64) #s(literal 1/2 binary64))
✓accuracy99.9%
(fma.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal 1/6 binary64)) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))) #s(literal 1/2 binary64))
✓accuracy99.8%
(sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)))
✓accuracy99.5%
(*.f64 (PI.f64) u2)
✓accuracy99.5%
(*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal 1/6 binary64))
Samples
97.0ms256×0valid
Compiler

Compiled 342 to 45 computations (86.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 70.0ms
ival-mult: 24.0ms (34.1% of total)
ival-log: 12.0ms (17% of total)
ival-add: 9.0ms (12.8% of total)
ival-sqrt: 6.0ms (8.5% of total)
const: 6.0ms (8.5% of total)
ival-div: 5.0ms (7.1% of total)
ival-exp: 3.0ms (4.3% of total)
ival-cos: 3.0ms (4.3% of total)
ival-pi: 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)

series62.0ms (0.5%)

Memory
10.1MiB live, 82.3MiB allocated
Counts
21 → 288
Calls
Call 1
Inputs
#<alt (+ (* (* (sqrt (* -2 (log u1))) 1/6) (cos (* 2 (* (PI) u2)))) 1/2)>
#<alt (* (sqrt (* -2 (log u1))) 1/6)>
#<alt (sqrt (* -2 (log u1)))>
#<alt (* -2 (log u1))>
#<alt (+ (* (sqrt (* -2 (log u1))) 1/6) 1/2)>
#<alt (log u1)>
#<alt (* (+ (* 1/36 (* -2 (log u1))) -1/4) (/ 1 (+ (* (sqrt (* -2 (log u1))) 1/6) -1/2)))>
#<alt (+ (* 1/36 (* -2 (log u1))) -1/4)>
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#<alt (* (sqrt (* -2 (log u1))) (cos (* 2 (* (* (sqrt (* (PI) (sqrt (PI)))) (sqrt (sqrt (PI)))) u2))))>
#<alt (exp (* 1/2 (log (* -2 (log u1)))))>
#<alt (+ (* (* (exp (* 1/2 (log (* -2 (log u1))))) (cos (* 2 (* (PI) u2)))) 1/6) 1/2)>
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#<alt (* 1/2 (log (* -2 (log u1))))>
#<alt (* (PI) u2)>
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#<alt (* (* (sqrt (* (PI) (sqrt (PI)))) (sqrt (sqrt (PI)))) u2)>
#<alt (log (* -2 (log u1)))>
Outputs
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#<alt (log u1)>
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#<alt (/ (- (* -1/18 (log u1)) 1/4) (- (* 1/6 (* (sqrt (log u1)) (sqrt -2))) 1/2))>
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#<alt (/ (- (* -1/18 (+ (log -1) (* -1 (log (/ -1 u1))))) 1/4) (- (* 1/6 (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))) 1/2))>
#<alt (/ (- (* -1/18 (+ (log -1) (* -1 (log (/ -1 u1))))) 1/4) (- (* 1/6 (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))) 1/2))>
#<alt (/ (- (* -1/18 (+ (log -1) (* -1 (log (/ -1 u1))))) 1/4) (- (* 1/6 (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))) 1/2))>
#<alt (/ (- (* -1/18 (+ (log -1) (* -1 (log (/ -1 u1))))) 1/4) (- (* 1/6 (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))) 1/2))>
#<alt (- (* -1/18 (log u1)) 1/4)>
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#<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)))))>
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#<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)))))>
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#<alt (* (sqrt (log u1)) (sqrt -2))>
#<alt (+ (* -2 (* (* (pow u2 2) (* (pow (PI) 2) (sqrt -2))) (sqrt (log u1)))) (* (sqrt (log u1)) (sqrt -2)))>
#<alt (+ (* (sqrt (log u1)) (sqrt -2)) (* (pow u2 2) (+ (* -2 (* (* (pow (PI) 2) (sqrt -2)) (sqrt (log u1)))) (* 2/3 (* (* (pow u2 2) (* (pow (PI) 4) (sqrt -2))) (sqrt (log u1)))))))>
#<alt (+ (* (sqrt (log u1)) (sqrt -2)) (* (pow u2 2) (+ (* -2 (* (* (pow (PI) 2) (sqrt -2)) (sqrt (log u1)))) (* (pow u2 2) (+ (* -4/45 (* (* (pow u2 2) (* (pow (PI) 6) (sqrt -2))) (sqrt (log u1)))) (* 2/3 (* (* (pow (PI) 4) (sqrt -2)) (sqrt (log u1)))))))))>
#<alt (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))>
#<alt (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))>
#<alt (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))>
#<alt (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))>
#<alt (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))>
#<alt (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))>
#<alt (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))>
#<alt (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))>
#<alt (* 1/2 (log (* -2 (log u1))))>
#<alt (* 1/2 (log (* -2 (log u1))))>
#<alt (* 1/2 (log (* -2 (log u1))))>
#<alt (* 1/2 (log (* -2 (log u1))))>
#<alt (* 1/2 (log (* 2 (log (/ 1 u1)))))>
#<alt (* 1/2 (log (* 2 (log (/ 1 u1)))))>
#<alt (* 1/2 (log (* 2 (log (/ 1 u1)))))>
#<alt (* 1/2 (log (* 2 (log (/ 1 u1)))))>
#<alt (* 1/2 (log (* -2 (+ (log -1) (* -1 (log (/ -1 u1)))))))>
#<alt (* 1/2 (log (* -2 (+ (log -1) (* -1 (log (/ -1 u1)))))))>
#<alt (* 1/2 (log (* -2 (+ (log -1) (* -1 (log (/ -1 u1)))))))>
#<alt (* 1/2 (log (* -2 (+ (log -1) (* -1 (log (/ -1 u1)))))))>
#<alt (* u2 (PI))>
#<alt (* u2 (PI))>
#<alt (* u2 (PI))>
#<alt (* u2 (PI))>
#<alt (* u2 (PI))>
#<alt (* u2 (PI))>
#<alt (* u2 (PI))>
#<alt (* u2 (PI))>
#<alt (* u2 (PI))>
#<alt (* u2 (PI))>
#<alt (* u2 (PI))>
#<alt (* u2 (PI))>
#<alt (- (* 1/6 (* (sqrt (log u1)) (sqrt -2))) 1/2)>
#<alt (- (* 1/6 (* (sqrt (log u1)) (sqrt -2))) 1/2)>
#<alt (- (* 1/6 (* (sqrt (log u1)) (sqrt -2))) 1/2)>
#<alt (- (* 1/6 (* (sqrt (log u1)) (sqrt -2))) 1/2)>
#<alt (- (* 1/6 (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1)))) 1/2)>
#<alt (- (* 1/6 (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1)))) 1/2)>
#<alt (- (* 1/6 (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1)))) 1/2)>
#<alt (- (* 1/6 (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1)))) 1/2)>
#<alt (- (* 1/6 (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))) 1/2)>
#<alt (- (* 1/6 (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))) 1/2)>
#<alt (- (* 1/6 (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))) 1/2)>
#<alt (- (* 1/6 (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))) 1/2)>
#<alt (/ 1 (- (* 1/6 (* (sqrt (log u1)) (sqrt -2))) 1/2))>
#<alt (/ 1 (- (* 1/6 (* (sqrt (log u1)) (sqrt -2))) 1/2))>
#<alt (/ 1 (- (* 1/6 (* (sqrt (log u1)) (sqrt -2))) 1/2))>
#<alt (/ 1 (- (* 1/6 (* (sqrt (log u1)) (sqrt -2))) 1/2))>
#<alt (/ 1 (- (* 1/6 (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1)))) 1/2))>
#<alt (/ 1 (- (* 1/6 (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1)))) 1/2))>
#<alt (/ 1 (- (* 1/6 (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1)))) 1/2))>
#<alt (/ 1 (- (* 1/6 (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1)))) 1/2))>
#<alt (/ 1 (- (* 1/6 (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))) 1/2))>
#<alt (/ 1 (- (* 1/6 (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))) 1/2))>
#<alt (/ 1 (- (* 1/6 (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))) 1/2))>
#<alt (/ 1 (- (* 1/6 (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))) 1/2))>
#<alt (* 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 (log (* -2 (log u1)))>
#<alt (log (* -2 (log u1)))>
#<alt (log (* -2 (log u1)))>
#<alt (log (* -2 (log u1)))>
#<alt (log (* 2 (log (/ 1 u1))))>
#<alt (log (* 2 (log (/ 1 u1))))>
#<alt (log (* 2 (log (/ 1 u1))))>
#<alt (log (* 2 (log (/ 1 u1))))>
#<alt (log (* -2 (+ (log -1) (* -1 (log (/ -1 u1))))))>
#<alt (log (* -2 (+ (log -1) (* -1 (log (/ -1 u1))))))>
#<alt (log (* -2 (+ (log -1) (* -1 (log (/ -1 u1))))))>
#<alt (log (* -2 (+ (log -1) (* -1 (log (/ -1 u1))))))>
Calls

72 calls:

TimeVariablePointExpression
19.0ms
u1
@-inf
(* 1/2 (log (* -2 (log u1))))
17.0ms
u1
@0
(* 1/2 (log (* -2 (log u1))))
14.0ms
u1
@inf
(* 1/2 (log (* -2 (log u1))))
1.0ms
u1
@-inf
(* (+ (* 1/36 (* -2 (log u1))) -1/4) (/ 1 (+ (* (sqrt (* -2 (log u1))) 1/6) -1/2)))
1.0ms
u1
@inf
(* (+ (* 1/36 (* -2 (log u1))) -1/4) (/ 1 (+ (* (sqrt (* -2 (log u1))) 1/6) -1/2)))

rewrite557.0ms (4.2%)

Memory
11.9MiB live, 962.9MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
11 108×accelerator-lowering-fma.f32
11 108×accelerator-lowering-fma.f64
6 918×*-lowering-*.f32
6 918×*-lowering-*.f64
2 342×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
043181
1200160
21385160
09519152
Stop Event
1×iter limit
1×node limit
Counts
21 → 1 246
Calls
Call 1
Inputs
(+ (* (* (sqrt (* -2 (log u1))) 1/6) (cos (* 2 (* (PI) u2)))) 1/2)
(* (sqrt (* -2 (log u1))) 1/6)
(sqrt (* -2 (log u1)))
(* -2 (log u1))
(+ (* (sqrt (* -2 (log u1))) 1/6) 1/2)
(log u1)
(* (+ (* 1/36 (* -2 (log u1))) -1/4) (/ 1 (+ (* (sqrt (* -2 (log u1))) 1/6) -1/2)))
(+ (* 1/36 (* -2 (log u1))) -1/4)
(+ (* (* (sqrt (* -2 (log u1))) (cos (* 2 (* (* (sqrt (* (PI) (sqrt (PI)))) (sqrt (sqrt (PI)))) u2)))) 1/6) 1/2)
(* (sqrt (* -2 (log u1))) (cos (* 2 (* (* (sqrt (* (PI) (sqrt (PI)))) (sqrt (sqrt (PI)))) u2))))
(exp (* 1/2 (log (* -2 (log u1)))))
(+ (* (* (exp (* 1/2 (log (* -2 (log u1))))) (cos (* 2 (* (PI) u2)))) 1/6) 1/2)
(* (exp (* 1/2 (log (* -2 (log u1))))) (cos (* 2 (* (PI) u2))))
(* 1/2 (log (* -2 (log u1))))
(* (PI) u2)
(+ (* (sqrt (* -2 (log u1))) 1/6) -1/2)
(/ 1 (+ (* (sqrt (* -2 (log u1))) 1/6) -1/2))
(sqrt (PI))
(* (sqrt (* (PI) (sqrt (PI)))) (sqrt (sqrt (PI))))
(* (* (sqrt (* (PI) (sqrt (PI)))) (sqrt (sqrt (PI)))) u2)
(log (* -2 (log u1)))
Outputs
(+.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal 1/6 binary64)) (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2)))) #s(literal 1/2 binary64))
(+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal 1/6 binary64)) (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2)))))
(+.f64 (/.f64 (*.f64 (*.f64 (log.f64 u1) #s(literal -1/18 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) (+.f64 u2 u2))))))) (fma.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2)))) #s(literal -1/2 binary64))) (neg.f64 (/.f64 #s(literal -1/4 binary64) (fma.f64 (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2))) (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)))))
(-.f64 (/.f64 (*.f64 (*.f64 (log.f64 u1) #s(literal -1/18 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) (+.f64 u2 u2))))))) (fma.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2)))) #s(literal -1/2 binary64))) (/.f64 #s(literal -1/4 binary64) (fma.f64 (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2))) (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal -1/6 binary64)) #s(literal 1/2 binary64))))
(-.f64 (/.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2))) (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal -1/6 binary64))))) (/.f64 (*.f64 (*.f64 (log.f64 u1) #s(literal -1/18 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) (+.f64 u2 u2))))))) (+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2))) (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal -1/6 binary64))))))
(fma.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2)))) #s(literal 1/2 binary64))
(fma.f64 #s(literal 1/6 binary64) (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2)))) #s(literal 1/2 binary64))
(fma.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal 1/6 binary64)) (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2))) #s(literal 1/2 binary64))
(fma.f64 (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2))) (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal 1/6 binary64)) #s(literal 1/2 binary64))
(fma.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2)))) #s(literal 1/6 binary64) #s(literal 1/2 binary64))
(fma.f64 (*.f64 (*.f64 (log.f64 u1) #s(literal -1/18 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) (+.f64 u2 u2))))))) (/.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2)))) #s(literal -1/2 binary64))) (neg.f64 (/.f64 #s(literal -1/4 binary64) (fma.f64 (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2))) (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)))))
(fma.f64 (*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2)))) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal 1/2 binary64))
(fma.f64 (exp.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 #s(literal -2 binary64)))) (*.f64 (exp.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (log.f64 u1)))) (*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2))))) #s(literal 1/2 binary64))
(fma.f64 (sqrt.f64 #s(literal -2 binary64)) (*.f64 (sqrt.f64 (log.f64 u1)) (*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2))))) #s(literal 1/2 binary64))
(fma.f64 (sqrt.f64 (log.f64 u1)) (*.f64 (sqrt.f64 #s(literal -2 binary64)) (*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2))))) #s(literal 1/2 binary64))
(fma.f64 (exp.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (log.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)))))) (*.f64 (exp.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (log.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)))))) (*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2))))) #s(literal 1/2 binary64))
(fma.f64 (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 (PI.f64) (+.f64 u2 u2))))) #s(literal 1/2 binary64))
(fma.f64 (+.f64 (cos.f64 (*.f64 (PI.f64) u2)) (sin.f64 (*.f64 (PI.f64) u2))) (*.f64 (-.f64 (cos.f64 (*.f64 (PI.f64) u2)) (sin.f64 (*.f64 (PI.f64) u2))) (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal 1/6 binary64))) #s(literal 1/2 binary64))
(fma.f64 (*.f64 (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2))) (sqrt.f64 #s(literal -2 binary64))) (*.f64 (sqrt.f64 (log.f64 u1)) #s(literal 1/6 binary64)) #s(literal 1/2 binary64))
(fma.f64 (*.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -2 binary64))) (*.f64 (sqrt.f64 (log.f64 u1)) (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2)))) #s(literal 1/2 binary64))
(fma.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2))) (sqrt.f64 #s(literal -2 binary64)))) (sqrt.f64 (log.f64 u1)) #s(literal 1/2 binary64))
(fma.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal 1/6 binary64)) (+.f64 (cos.f64 (*.f64 (PI.f64) u2)) (sin.f64 (*.f64 (PI.f64) u2)))) (-.f64 (cos.f64 (*.f64 (PI.f64) u2)) (sin.f64 (*.f64 (PI.f64) u2))) #s(literal 1/2 binary64))
(fma.f64 (*.f64 (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2))) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -2 binary64)))) (sqrt.f64 (log.f64 u1)) #s(literal 1/2 binary64))
(fma.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2)))) (exp.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 #s(literal -2 binary64))))) (exp.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (log.f64 u1)))) #s(literal 1/2 binary64))
(fma.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2)))) (sqrt.f64 #s(literal -2 binary64))) (sqrt.f64 (log.f64 u1)) #s(literal 1/2 binary64))
(fma.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2)))) (sqrt.f64 (log.f64 u1))) (sqrt.f64 #s(literal -2 binary64)) #s(literal 1/2 binary64))
(fma.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2)))) (exp.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (log.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))))))) (exp.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (log.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)))))) #s(literal 1/2 binary64))
(fma.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2)))) (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/4 binary64))) (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/4 binary64)) #s(literal 1/2 binary64))
(neg.f64 (/.f64 (+.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 (*.f64 (log.f64 u1) #s(literal -1/18 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) (+.f64 u2 u2))))))) #s(literal 3/2 binary64))) (-.f64 #s(literal 0 binary64) (+.f64 (fma.f64 (*.f64 (log.f64 u1) #s(literal -1/18 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) (+.f64 u2 u2)))))) #s(literal 1/4 binary64)) (*.f64 (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2))) (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal -1/12 binary64)))))))
(neg.f64 (/.f64 (fma.f64 (*.f64 (log.f64 u1) #s(literal -1/18 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) (+.f64 u2 u2)))))) #s(literal -1/4 binary64)) (fma.f64 (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2))) (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal -1/6 binary64)) #s(literal 1/2 binary64))))
(neg.f64 (/.f64 (+.f64 #s(literal -1/8 binary64) (neg.f64 (pow.f64 (*.f64 (*.f64 (log.f64 u1) #s(literal -1/18 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) (+.f64 u2 u2))))))) #s(literal 3/2 binary64)))) (+.f64 (fma.f64 (*.f64 (log.f64 u1) #s(literal -1/18 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) (+.f64 u2 u2)))))) #s(literal 1/4 binary64)) (*.f64 (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2))) (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal -1/12 binary64))))))
(neg.f64 (/.f64 (-.f64 #s(literal 0 binary64) (fma.f64 (*.f64 (log.f64 u1) #s(literal -1/18 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) (+.f64 u2 u2)))))) #s(literal -1/4 binary64))) (fma.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2)))) #s(literal -1/2 binary64))))
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(/.f64 (neg.f64 (*.f64 (log.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (log.f64 (/.f64 #s(literal -2 binary64) (log.f64 u1))))) (neg.f64 (log.f64 (/.f64 #s(literal -2 binary64) (log.f64 u1)))))
(/.f64 (+.f64 (pow.f64 (log.f64 (log.f64 u1)) #s(literal 3 binary64)) (pow.f64 (log.f64 #s(literal -2 binary64)) #s(literal 3 binary64))) (+.f64 (pow.f64 (log.f64 (log.f64 u1)) #s(literal 2 binary64)) (-.f64 (pow.f64 (log.f64 #s(literal -2 binary64)) #s(literal 2 binary64)) (*.f64 (log.f64 (log.f64 u1)) (log.f64 #s(literal -2 binary64))))))
(/.f64 (-.f64 (pow.f64 (log.f64 (log.f64 u1)) #s(literal 2 binary64)) (pow.f64 (log.f64 #s(literal -2 binary64)) #s(literal 2 binary64))) (-.f64 (log.f64 (log.f64 u1)) (log.f64 #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 #s(literal 1 binary64) (+.f64 (pow.f64 (log.f64 #s(literal -2 binary64)) #s(literal 2 binary64)) (*.f64 (log.f64 (log.f64 u1)) (-.f64 (log.f64 (log.f64 u1)) (log.f64 #s(literal -2 binary64)))))))
(*.f64 (*.f64 (log.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (log.f64 (/.f64 #s(literal -2 binary64) (log.f64 u1)))) (/.f64 #s(literal 1 binary64) (log.f64 (/.f64 #s(literal -2 binary64) (log.f64 u1)))))

simplify466.0ms (3.5%)

Memory
8.7MiB live, 683.2MiB allocated
Algorithm
1×egg-herbie
Rules
9 992×accelerator-lowering-fma.f32
9 992×accelerator-lowering-fma.f64
3 928×*-lowering-*.f32
3 928×*-lowering-*.f64
2 296×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01294022
13363902
210213832
316133794
423143794
533213794
642153794
751073794
860913794
080893620
Stop Event
1×iter limit
1×node limit
Counts
288 → 288
Calls
Call 1
Inputs
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(+ (* -2 (* (* (pow u2 2) (* (pow (PI) 2) (sqrt -2))) (sqrt (log u1)))) (* (sqrt (log u1)) (sqrt -2)))
(+ (* (sqrt (log u1)) (sqrt -2)) (* (pow u2 2) (+ (* -2 (* (* (pow (PI) 2) (sqrt -2)) (sqrt (log u1)))) (* 2/3 (* (* (pow u2 2) (* (pow (PI) 4) (sqrt -2))) (sqrt (log u1)))))))
(+ (* (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)))))))))
(* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))
(* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))
(* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))
(* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))
(* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))
(* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))
(* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))
(* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))
(* 1/2 (log (* -2 (log u1))))
(* 1/2 (log (* -2 (log u1))))
(* 1/2 (log (* -2 (log u1))))
(* 1/2 (log (* -2 (log u1))))
(* 1/2 (log (* 2 (log (/ 1 u1)))))
(* 1/2 (log (* 2 (log (/ 1 u1)))))
(* 1/2 (log (* 2 (log (/ 1 u1)))))
(* 1/2 (log (* 2 (log (/ 1 u1)))))
(* 1/2 (log (* -2 (+ (log -1) (* -1 (log (/ -1 u1)))))))
(* 1/2 (log (* -2 (+ (log -1) (* -1 (log (/ -1 u1)))))))
(* 1/2 (log (* -2 (+ (log -1) (* -1 (log (/ -1 u1)))))))
(* 1/2 (log (* -2 (+ (log -1) (* -1 (log (/ -1 u1)))))))
(* u2 (PI))
(* u2 (PI))
(* u2 (PI))
(* u2 (PI))
(* u2 (PI))
(* u2 (PI))
(* u2 (PI))
(* u2 (PI))
(* u2 (PI))
(* u2 (PI))
(* u2 (PI))
(* u2 (PI))
(- (* 1/6 (* (sqrt (log u1)) (sqrt -2))) 1/2)
(- (* 1/6 (* (sqrt (log u1)) (sqrt -2))) 1/2)
(- (* 1/6 (* (sqrt (log u1)) (sqrt -2))) 1/2)
(- (* 1/6 (* (sqrt (log u1)) (sqrt -2))) 1/2)
(- (* 1/6 (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1)))) 1/2)
(- (* 1/6 (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1)))) 1/2)
(- (* 1/6 (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1)))) 1/2)
(- (* 1/6 (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1)))) 1/2)
(- (* 1/6 (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))) 1/2)
(- (* 1/6 (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))) 1/2)
(- (* 1/6 (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))) 1/2)
(- (* 1/6 (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))) 1/2)
(/ 1 (- (* 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))
(* u2 (PI))
(* u2 (PI))
(* u2 (PI))
(* u2 (PI))
(* u2 (PI))
(* u2 (PI))
(* u2 (PI))
(* u2 (PI))
(* u2 (PI))
(* u2 (PI))
(* u2 (PI))
(* u2 (PI))
(log (* -2 (log u1)))
(log (* -2 (log u1)))
(log (* -2 (log u1)))
(log (* -2 (log u1)))
(log (* 2 (log (/ 1 u1))))
(log (* 2 (log (/ 1 u1))))
(log (* 2 (log (/ 1 u1))))
(log (* 2 (log (/ 1 u1))))
(log (* -2 (+ (log -1) (* -1 (log (/ -1 u1))))))
(log (* -2 (+ (log -1) (* -1 (log (/ -1 u1))))))
(log (* -2 (+ (log -1) (* -1 (log (/ -1 u1))))))
(log (* -2 (+ (log -1) (* -1 (log (/ -1 u1))))))
Outputs
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))))
(fma.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 u2 (PI.f64)))) (fma.f64 (sqrt.f64 (log.f64 u1)) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -2 binary64))) #s(literal 0 binary64)) #s(literal 1/2 binary64))
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))))
(fma.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 u2 (PI.f64)))) (fma.f64 (sqrt.f64 (log.f64 u1)) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -2 binary64))) #s(literal 0 binary64)) #s(literal 1/2 binary64))
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))))
(fma.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 u2 (PI.f64)))) (fma.f64 (sqrt.f64 (log.f64 u1)) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -2 binary64))) #s(literal 0 binary64)) #s(literal 1/2 binary64))
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))))
(fma.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 u2 (PI.f64)))) (fma.f64 (sqrt.f64 (log.f64 u1)) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -2 binary64))) #s(literal 0 binary64)) #s(literal 1/2 binary64))
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -2) (sqrt -1))) (sqrt (log (/ 1 u1))))))
(fma.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 u2 (PI.f64)))) (fma.f64 (*.f64 (sqrt.f64 #s(literal -2 binary64)) (sqrt.f64 (-.f64 #s(literal 0 binary64) (log.f64 u1)))) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -1 binary64))) #s(literal 0 binary64)) #s(literal 1/2 binary64))
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -2) (sqrt -1))) (sqrt (log (/ 1 u1))))))
(fma.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 u2 (PI.f64)))) (fma.f64 (*.f64 (sqrt.f64 #s(literal -2 binary64)) (sqrt.f64 (-.f64 #s(literal 0 binary64) (log.f64 u1)))) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -1 binary64))) #s(literal 0 binary64)) #s(literal 1/2 binary64))
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -2) (sqrt -1))) (sqrt (log (/ 1 u1))))))
(fma.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 u2 (PI.f64)))) (fma.f64 (*.f64 (sqrt.f64 #s(literal -2 binary64)) (sqrt.f64 (-.f64 #s(literal 0 binary64) (log.f64 u1)))) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -1 binary64))) #s(literal 0 binary64)) #s(literal 1/2 binary64))
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -2) (sqrt -1))) (sqrt (log (/ 1 u1))))))
(fma.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 u2 (PI.f64)))) (fma.f64 (*.f64 (sqrt.f64 #s(literal -2 binary64)) (sqrt.f64 (-.f64 #s(literal 0 binary64) (log.f64 u1)))) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -1 binary64))) #s(literal 0 binary64)) #s(literal 1/2 binary64))
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))))
(fma.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 u2 (PI.f64)))) (fma.f64 (sqrt.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) u1)))) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -2 binary64))) #s(literal 0 binary64)) #s(literal 1/2 binary64))
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))))
(fma.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 u2 (PI.f64)))) (fma.f64 (sqrt.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) u1)))) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -2 binary64))) #s(literal 0 binary64)) #s(literal 1/2 binary64))
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))))
(fma.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 u2 (PI.f64)))) (fma.f64 (sqrt.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) u1)))) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -2 binary64))) #s(literal 0 binary64)) #s(literal 1/2 binary64))
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))))
(fma.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 u2 (PI.f64)))) (fma.f64 (sqrt.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) u1)))) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -2 binary64))) #s(literal 0 binary64)) #s(literal 1/2 binary64))
(+ 1/2 (* 1/6 (* (sqrt (log u1)) (sqrt -2))))
(fma.f64 (sqrt.f64 (log.f64 u1)) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -2 binary64))) #s(literal 1/2 binary64))
(+ 1/2 (+ (* -1/3 (* (* (pow u2 2) (* (pow (PI) 2) (sqrt -2))) (sqrt (log u1)))) (* 1/6 (* (sqrt (log u1)) (sqrt -2)))))
(fma.f64 (sqrt.f64 (log.f64 u1)) (*.f64 (sqrt.f64 #s(literal -2 binary64)) (fma.f64 #s(literal -1/3 binary64) (*.f64 u2 (*.f64 u2 (*.f64 (PI.f64) (PI.f64)))) #s(literal 1/6 binary64))) #s(literal 1/2 binary64))
(+ 1/2 (+ (* 1/6 (* (sqrt (log u1)) (sqrt -2))) (* (pow u2 2) (+ (* -1/3 (* (* (pow (PI) 2) (sqrt -2)) (sqrt (log u1)))) (* 1/9 (* (* (pow u2 2) (* (pow (PI) 4) (sqrt -2))) (sqrt (log u1))))))))
(fma.f64 (sqrt.f64 (log.f64 u1)) (fma.f64 (*.f64 u2 u2) (*.f64 (sqrt.f64 #s(literal -2 binary64)) (fma.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))))))) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -2 binary64)))) #s(literal 1/2 binary64))
(+ 1/2 (+ (* 1/6 (* (sqrt (log u1)) (sqrt -2))) (* (pow u2 2) (+ (* -1/3 (* (* (pow (PI) 2) (sqrt -2)) (sqrt (log u1)))) (* (pow u2 2) (+ (* -2/135 (* (* (pow u2 2) (* (pow (PI) 6) (sqrt -2))) (sqrt (log u1)))) (* 1/9 (* (* (pow (PI) 4) (sqrt -2)) (sqrt (log u1))))))))))
(fma.f64 u2 (*.f64 u2 (*.f64 (*.f64 (sqrt.f64 #s(literal -2 binary64)) (fma.f64 #s(literal -2/135 binary64) (*.f64 u2 (*.f64 u2 (pow.f64 (PI.f64) #s(literal 6 binary64)))) (*.f64 #s(literal 1/9 binary64) (pow.f64 (PI.f64) #s(literal 4 binary64))))) (*.f64 (sqrt.f64 (log.f64 u1)) (*.f64 u2 u2)))) (fma.f64 (sqrt.f64 (log.f64 u1)) (*.f64 (sqrt.f64 #s(literal -2 binary64)) (fma.f64 #s(literal -1/3 binary64) (*.f64 u2 (*.f64 u2 (*.f64 (PI.f64) (PI.f64)))) #s(literal 1/6 binary64))) #s(literal 1/2 binary64)))
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))))
(fma.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 u2 (PI.f64)))) (fma.f64 (sqrt.f64 (log.f64 u1)) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -2 binary64))) #s(literal 0 binary64)) #s(literal 1/2 binary64))
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))))
(fma.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 u2 (PI.f64)))) (fma.f64 (sqrt.f64 (log.f64 u1)) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -2 binary64))) #s(literal 0 binary64)) #s(literal 1/2 binary64))
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))))
(fma.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 u2 (PI.f64)))) (fma.f64 (sqrt.f64 (log.f64 u1)) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -2 binary64))) #s(literal 0 binary64)) #s(literal 1/2 binary64))
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))))
(fma.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 u2 (PI.f64)))) (fma.f64 (sqrt.f64 (log.f64 u1)) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -2 binary64))) #s(literal 0 binary64)) #s(literal 1/2 binary64))
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))))
(fma.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 u2 (PI.f64)))) (fma.f64 (sqrt.f64 (log.f64 u1)) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -2 binary64))) #s(literal 0 binary64)) #s(literal 1/2 binary64))
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))))
(fma.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 u2 (PI.f64)))) (fma.f64 (sqrt.f64 (log.f64 u1)) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -2 binary64))) #s(literal 0 binary64)) #s(literal 1/2 binary64))
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))))
(fma.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 u2 (PI.f64)))) (fma.f64 (sqrt.f64 (log.f64 u1)) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -2 binary64))) #s(literal 0 binary64)) #s(literal 1/2 binary64))
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))))
(fma.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 u2 (PI.f64)))) (fma.f64 (sqrt.f64 (log.f64 u1)) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -2 binary64))) #s(literal 0 binary64)) #s(literal 1/2 binary64))
(* 1/6 (* (sqrt (log u1)) (sqrt -2)))
(fma.f64 (sqrt.f64 (log.f64 u1)) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -2 binary64))) #s(literal 0 binary64))
(* 1/6 (* (sqrt (log u1)) (sqrt -2)))
(fma.f64 (sqrt.f64 (log.f64 u1)) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -2 binary64))) #s(literal 0 binary64))
(* 1/6 (* (sqrt (log u1)) (sqrt -2)))
(fma.f64 (sqrt.f64 (log.f64 u1)) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -2 binary64))) #s(literal 0 binary64))
(* 1/6 (* (sqrt (log u1)) (sqrt -2)))
(fma.f64 (sqrt.f64 (log.f64 u1)) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -2 binary64))) #s(literal 0 binary64))
(* 1/6 (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1))))
(fma.f64 (*.f64 (sqrt.f64 #s(literal -2 binary64)) (sqrt.f64 (-.f64 #s(literal 0 binary64) (log.f64 u1)))) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -1 binary64))) #s(literal 0 binary64))
(* 1/6 (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1))))
(fma.f64 (*.f64 (sqrt.f64 #s(literal -2 binary64)) (sqrt.f64 (-.f64 #s(literal 0 binary64) (log.f64 u1)))) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -1 binary64))) #s(literal 0 binary64))
(* 1/6 (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1))))
(fma.f64 (*.f64 (sqrt.f64 #s(literal -2 binary64)) (sqrt.f64 (-.f64 #s(literal 0 binary64) (log.f64 u1)))) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -1 binary64))) #s(literal 0 binary64))
(* 1/6 (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1))))
(fma.f64 (*.f64 (sqrt.f64 #s(literal -2 binary64)) (sqrt.f64 (-.f64 #s(literal 0 binary64) (log.f64 u1)))) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -1 binary64))) #s(literal 0 binary64))
(* 1/6 (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))))
(fma.f64 (sqrt.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) u1)))) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -2 binary64))) #s(literal 0 binary64))
(* 1/6 (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))))
(fma.f64 (sqrt.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) u1)))) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -2 binary64))) #s(literal 0 binary64))
(* 1/6 (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))))
(fma.f64 (sqrt.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) u1)))) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -2 binary64))) #s(literal 0 binary64))
(* 1/6 (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))))
(fma.f64 (sqrt.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) u1)))) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -2 binary64))) #s(literal 0 binary64))
(* (sqrt (log u1)) (sqrt -2))
(*.f64 (sqrt.f64 #s(literal -2 binary64)) (sqrt.f64 (log.f64 u1)))
(* (sqrt (log u1)) (sqrt -2))
(*.f64 (sqrt.f64 #s(literal -2 binary64)) (sqrt.f64 (log.f64 u1)))
(* (sqrt (log u1)) (sqrt -2))
(*.f64 (sqrt.f64 #s(literal -2 binary64)) (sqrt.f64 (log.f64 u1)))
(* (sqrt (log u1)) (sqrt -2))
(*.f64 (sqrt.f64 #s(literal -2 binary64)) (sqrt.f64 (log.f64 u1)))
(* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1)))
(*.f64 (sqrt.f64 #s(literal -2 binary64)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (-.f64 #s(literal 0 binary64) (log.f64 u1)))))
(* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1)))
(*.f64 (sqrt.f64 #s(literal -2 binary64)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (-.f64 #s(literal 0 binary64) (log.f64 u1)))))
(* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1)))
(*.f64 (sqrt.f64 #s(literal -2 binary64)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (-.f64 #s(literal 0 binary64) (log.f64 u1)))))
(* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1)))
(*.f64 (sqrt.f64 #s(literal -2 binary64)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (-.f64 #s(literal 0 binary64) (log.f64 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)))))
(* (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)))))
(* -2 (log u1))
(fma.f64 #s(literal -2 binary64) (log.f64 u1) #s(literal 0 binary64))
(* -2 (log u1))
(fma.f64 #s(literal -2 binary64) (log.f64 u1) #s(literal 0 binary64))
(* -2 (log u1))
(fma.f64 #s(literal -2 binary64) (log.f64 u1) #s(literal 0 binary64))
(* -2 (log u1))
(fma.f64 #s(literal -2 binary64) (log.f64 u1) #s(literal 0 binary64))
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(*.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))
(log (* -2 (log u1)))
(log.f64 (fma.f64 #s(literal -2 binary64) (log.f64 u1) #s(literal 0 binary64)))
(log (* -2 (log u1)))
(log.f64 (fma.f64 #s(literal -2 binary64) (log.f64 u1) #s(literal 0 binary64)))
(log (* -2 (log u1)))
(log.f64 (fma.f64 #s(literal -2 binary64) (log.f64 u1) #s(literal 0 binary64)))
(log (* -2 (log u1)))
(log.f64 (fma.f64 #s(literal -2 binary64) (log.f64 u1) #s(literal 0 binary64)))
(log (* 2 (log (/ 1 u1))))
(log.f64 (fma.f64 #s(literal -2 binary64) (log.f64 u1) #s(literal 0 binary64)))
(log (* 2 (log (/ 1 u1))))
(log.f64 (fma.f64 #s(literal -2 binary64) (log.f64 u1) #s(literal 0 binary64)))
(log (* 2 (log (/ 1 u1))))
(log.f64 (fma.f64 #s(literal -2 binary64) (log.f64 u1) #s(literal 0 binary64)))
(log (* 2 (log (/ 1 u1))))
(log.f64 (fma.f64 #s(literal -2 binary64) (log.f64 u1) #s(literal 0 binary64)))
(log (* -2 (+ (log -1) (* -1 (log (/ -1 u1))))))
(log.f64 (fma.f64 #s(literal 2 binary64) (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) u1)) (log.f64 #s(literal -1 binary64))) #s(literal 0 binary64)))
(log (* -2 (+ (log -1) (* -1 (log (/ -1 u1))))))
(log.f64 (fma.f64 #s(literal 2 binary64) (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) u1)) (log.f64 #s(literal -1 binary64))) #s(literal 0 binary64)))
(log (* -2 (+ (log -1) (* -1 (log (/ -1 u1))))))
(log.f64 (fma.f64 #s(literal 2 binary64) (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) u1)) (log.f64 #s(literal -1 binary64))) #s(literal 0 binary64)))
(log (* -2 (+ (log -1) (* -1 (log (/ -1 u1))))))
(log.f64 (fma.f64 #s(literal 2 binary64) (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) u1)) (log.f64 #s(literal -1 binary64))) #s(literal 0 binary64)))

eval242.0ms (1.8%)

Memory
-7.3MiB live, 569.3MiB allocated
Compiler

Compiled 53 953 to 3 765 computations (93% saved)

prune203.0ms (1.5%)

Memory
51.9MiB live, 509.7MiB allocated
Pruning

27 alts after pruning (25 fresh and 2 done)

PrunedKeptTotal
New1 940201 960
Fresh10515
Picked325
Done101
Total1 954271 981
Accuracy
100.0%
Counts
1 981 → 27
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶99.1%
(fma.f64 (pow.f64 (sqrt.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) #s(literal 1/2 binary64))
97.6%
(fma.f64 (/.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) (fma.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal 1/6 binary64) #s(literal -1/2 binary64))) #s(literal 1/36 binary64) (/.f64 #s(literal -1/4 binary64) (fma.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal 1/6 binary64) #s(literal -1/2 binary64))))
▶99.5%
(fma.f64 (*.f64 (*.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (log.f64 u1))) (sqrt.f64 #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))
98.2%
(fma.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (fma.f64 (*.f64 u2 u2) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal -2 binary64)) #s(literal 1 binary64))) #s(literal 1/6 binary64) #s(literal 1/2 binary64))
▶99.5%
(fma.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2)))) #s(literal 1/6 binary64) #s(literal 1/2 binary64))
✓99.5%
(fma.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64)))) u2)))) #s(literal 1/6 binary64) #s(literal 1/2 binary64))
99.5%
(fma.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal 1/6 binary64)) (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2))) #s(literal 1/2 binary64))
✓97.8%
(fma.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal 1/6 binary64) #s(literal 1/2 binary64))
97.3%
(fma.f64 (exp.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))))) #s(literal 1/6 binary64) #s(literal 1/2 binary64))
97.5%
(/.f64 (fma.f64 (log.f64 u1) #s(literal 1/18 binary64) #s(literal 1/4 binary64)) (fma.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal -1/6 binary64) #s(literal 1/2 binary64)))
99.1%
(/.f64 (fma.f64 #s(literal 1/36 binary64) (pow.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))) u2)))) #s(literal 2 binary64)) #s(literal -1/4 binary64)) (fma.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))) #s(literal -1/2 binary64)))
97.4%
(/.f64 (/.f64 #s(literal 1 binary64) (fma.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) (fma.f64 (log.f64 u1) #s(literal -1/18 binary64) #s(literal -1/4 binary64))))
97.5%
(/.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/36 binary64) (*.f64 #s(literal -2 binary64) (log.f64 u1)))) (-.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal 1/6 binary64))))
97.7%
(/.f64 (*.f64 (fma.f64 (log.f64 u1) #s(literal -1/18 binary64) #s(literal 1/4 binary64)) (fma.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal 1/6 binary64) #s(literal 1/2 binary64))) (fma.f64 (log.f64 u1) #s(literal -1/18 binary64) #s(literal 1/4 binary64)))
▶97.7%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal 1/6 binary64) #s(literal 1/2 binary64))))
97.5%
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (log.f64 u1) #s(literal -1/18 binary64) #s(literal -1/4 binary64))) (fma.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal 1/6 binary64) #s(literal -1/2 binary64))))
97.4%
(-.f64 (/.f64 (*.f64 (log.f64 u1) #s(literal -1/18 binary64)) (fma.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) (fma.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal -1/6 binary64) #s(literal 1/2 binary64))))
99.5%
(+.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) (*.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (log.f64 u1))) (sqrt.f64 #s(literal 2 binary64)))) (cos.f64 (*.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) u2))) #s(literal 1/2 binary64))
97.4%
(*.f64 (fma.f64 (*.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/6 binary64)) #s(literal 1/6 binary64) #s(literal -1/4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal 1/6 binary64) #s(literal -1/2 binary64))))
97.5%
(*.f64 (fma.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal 1/36 binary64)) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal -1/4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal 1/6 binary64) #s(literal -1/2 binary64))))
97.5%
(*.f64 (fma.f64 (log.f64 u1) #s(literal 1/18 binary64) #s(literal 1/4 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal 1/6 binary64) #s(literal -1/2 binary64))))
97.4%
(*.f64 (fma.f64 #s(literal 1/36 binary64) (pow.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal 2 binary64)) #s(literal -1/4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal 1/6 binary64) #s(literal -1/2 binary64))))
▶97.5%
(*.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal -1/4 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (log.f64 u1) #s(literal 1/18 binary64) #s(literal 1/4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal -1/6 binary64) #s(literal -1/2 binary64))))))
97.6%
(*.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal -1/4 binary64)) (*.f64 (fma.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) (fma.f64 (log.f64 u1) #s(literal -1/18 binary64) #s(literal -1/4 binary64)))))
97.4%
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (log.f64 u1) #s(literal -1/18 binary64) #s(literal -1/4 binary64))) (/.f64 (fma.f64 (log.f64 u1) #s(literal -1/18 binary64) #s(literal -1/4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal 1/6 binary64) #s(literal 1/2 binary64)))))
97.6%
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (log.f64 u1) #s(literal -1/18 binary64) #s(literal -1/4 binary64))) (*.f64 (fma.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (fma.f64 (log.f64 u1) #s(literal -1/18 binary64) #s(literal -1/4 binary64))))
97.6%
(*.f64 (*.f64 (fma.f64 (log.f64 u1) #s(literal -1/18 binary64) #s(literal 1/4 binary64)) (fma.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) (fma.f64 (log.f64 u1) #s(literal -1/18 binary64) #s(literal 1/4 binary64))))
Compiler

Compiled 1 141 to 835 computations (26.8% saved)

simplify590.0ms (4.4%)

Memory
-45.6MiB live, 541.8MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(log.f64 u1)
✓cost-diff320
(*.f64 (fma.f64 (log.f64 u1) #s(literal 1/18 binary64) #s(literal 1/4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal -1/6 binary64) #s(literal -1/2 binary64))))
✓cost-diff384
(fma.f64 #s(literal 1/36 binary64) (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal -1/4 binary64))
✓cost-diff704
(/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (log.f64 u1) #s(literal 1/18 binary64) #s(literal 1/4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal -1/6 binary64) #s(literal -1/2 binary64)))))
✓cost-diff0
(sqrt.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))))
✓cost-diff0
(fma.f64 (pow.f64 (sqrt.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) #s(literal 1/2 binary64))
✓cost-diff128
(*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))
✓cost-diff7104
(pow.f64 (sqrt.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))))) #s(literal 2 binary64))
✓cost-diff0
(*.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (log.f64 u1))) (sqrt.f64 #s(literal 2 binary64)))
✓cost-diff0
(*.f64 (*.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (log.f64 u1))) (sqrt.f64 #s(literal 2 binary64))) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))))
✓cost-diff0
(fma.f64 (*.f64 (*.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (log.f64 u1))) (sqrt.f64 #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))
✓cost-diff128
(*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))
✓cost-diff0
(sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)))
✓cost-diff0
(fma.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 1 binary64) (fma.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal 1/6 binary64) #s(literal 1/2 binary64)))
✓cost-diff1408
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal 1/6 binary64) #s(literal 1/2 binary64))))
✓cost-diff0
(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 (PI.f64) (+.f64 u2 u2))))
✓cost-diff0
(fma.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2)))) #s(literal 1/6 binary64) #s(literal 1/2 binary64))
Rules
8 436×accelerator-lowering-fma.f32
8 436×accelerator-lowering-fma.f64
3 576×*-lowering-*.f32
3 576×*-lowering-*.f64
1 428×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
053377
1104369
2206367
3411367
41088367
53127367
65202367
75704367
86104367
96636367
107428367
08055350
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(+ (* (* (sqrt (* -2 (log u1))) (cos (* (PI) (+ u2 u2)))) 1/6) 1/2)
(* (sqrt (* -2 (log u1))) (cos (* (PI) (+ u2 u2))))
(sqrt (* -2 (log u1)))
(* -2 (log u1))
-2
(log u1)
u1
(cos (* (PI) (+ u2 u2)))
(* (PI) (+ u2 u2))
(PI)
(+ u2 u2)
u2
1/6
1/2
(/ 1 (/ 1 (+ (* (sqrt (* -2 (log u1))) 1/6) 1/2)))
1
(/ 1 (+ (* (sqrt (* -2 (log u1))) 1/6) 1/2))
(+ (* (sqrt (* -2 (log u1))) 1/6) 1/2)
(sqrt (* -2 (log u1)))
(* -2 (log u1))
-2
(log u1)
u1
1/6
1/2
(+ (* (* (* (sqrt (- 0 (log u1))) (sqrt 2)) (cos (* 2 (* (PI) u2)))) 1/6) 1/2)
(* (* (sqrt (- 0 (log u1))) (sqrt 2)) (cos (* 2 (* (PI) u2))))
(* (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))
(* (PI) u2)
(PI)
u2
1/6
1/2
(+ (* (pow (sqrt (* (sqrt (* -2 (log u1))) (cos (* 2 (* (PI) u2))))) 2) 1/6) 1/2)
(pow (sqrt (* (sqrt (* -2 (log u1))) (cos (* 2 (* (PI) u2))))) 2)
(sqrt (* (sqrt (* -2 (log u1))) (cos (* 2 (* (PI) u2)))))
(* (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
(* (+ (* 1/36 (* -2 (log u1))) -1/4) (/ 1 (* (+ (* (log u1) 1/18) 1/4) (/ 1 (+ (* (sqrt (* -2 (log u1))) -1/6) -1/2)))))
(+ (* 1/36 (* -2 (log u1))) -1/4)
1/36
(* -2 (log u1))
-2
(log u1)
u1
-1/4
(/ 1 (* (+ (* (log u1) 1/18) 1/4) (/ 1 (+ (* (sqrt (* -2 (log u1))) -1/6) -1/2))))
1
(* (+ (* (log u1) 1/18) 1/4) (/ 1 (+ (* (sqrt (* -2 (log u1))) -1/6) -1/2)))
(+ (* (log u1) 1/18) 1/4)
1/18
1/4
(/ 1 (+ (* (sqrt (* -2 (log u1))) -1/6) -1/2))
(+ (* (sqrt (* -2 (log u1))) -1/6) -1/2)
(sqrt (* -2 (log u1)))
-1/6
-1/2
Outputs
(+ (* (* (sqrt (* -2 (log u1))) (cos (* (PI) (+ u2 u2)))) 1/6) 1/2)
(fma.f64 #s(literal 1/6 binary64) (*.f64 (sqrt.f64 (fma.f64 #s(literal -2 binary64) (log.f64 u1) #s(literal 0 binary64))) (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2)))) #s(literal 1/2 binary64))
(* (sqrt (* -2 (log u1))) (cos (* (PI) (+ u2 u2))))
(*.f64 (sqrt.f64 (fma.f64 #s(literal -2 binary64) (log.f64 u1) #s(literal 0 binary64))) (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2))))
(sqrt (* -2 (log u1)))
(sqrt.f64 (fma.f64 #s(literal -2 binary64) (log.f64 u1) #s(literal 0 binary64)))
(* -2 (log u1))
(fma.f64 #s(literal -2 binary64) (log.f64 u1) #s(literal 0 binary64))
-2
#s(literal -2 binary64)
(log u1)
(log.f64 u1)
u1
(cos (* (PI) (+ u2 u2)))
(cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2)))
(* (PI) (+ u2 u2))
(*.f64 (PI.f64) (+.f64 u2 u2))
(PI)
(PI.f64)
(+ u2 u2)
(+.f64 u2 u2)
u2
1/6
#s(literal 1/6 binary64)
1/2
#s(literal 1/2 binary64)
(/ 1 (/ 1 (+ (* (sqrt (* -2 (log u1))) 1/6) 1/2)))
(fma.f64 (sqrt.f64 (fma.f64 #s(literal -2 binary64) (log.f64 u1) #s(literal 0 binary64))) #s(literal 1/6 binary64) #s(literal 1/2 binary64))
1
#s(literal 1 binary64)
(/ 1 (+ (* (sqrt (* -2 (log u1))) 1/6) 1/2))
(/.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 (fma.f64 #s(literal -2 binary64) (log.f64 u1) #s(literal 0 binary64))) #s(literal 1/6 binary64) #s(literal 1/2 binary64)))
(+ (* (sqrt (* -2 (log u1))) 1/6) 1/2)
(fma.f64 (sqrt.f64 (fma.f64 #s(literal -2 binary64) (log.f64 u1) #s(literal 0 binary64))) #s(literal 1/6 binary64) #s(literal 1/2 binary64))
(sqrt (* -2 (log u1)))
(sqrt.f64 (fma.f64 #s(literal -2 binary64) (log.f64 u1) #s(literal 0 binary64)))
(* -2 (log u1))
(fma.f64 #s(literal -2 binary64) (log.f64 u1) #s(literal 0 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)
(+ (* (* (* (sqrt (- 0 (log u1))) (sqrt 2)) (cos (* 2 (* (PI) u2)))) 1/6) 1/2)
(fma.f64 (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2))) (*.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (log.f64 u1))) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 1/2 binary64))
(* (* (sqrt (- 0 (log u1))) (sqrt 2)) (cos (* 2 (* (PI) u2))))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (log.f64 u1))) (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2)))))
(* (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 (PI.f64) (+.f64 u2 u2)))
(* 2 (* (PI) u2))
(*.f64 (PI.f64) (+.f64 u2 u2))
(* (PI) u2)
(*.f64 (PI.f64) u2)
(PI)
(PI.f64)
u2
1/6
#s(literal 1/6 binary64)
1/2
#s(literal 1/2 binary64)
(+ (* (pow (sqrt (* (sqrt (* -2 (log u1))) (cos (* 2 (* (PI) u2))))) 2) 1/6) 1/2)
(fma.f64 #s(literal 1/6 binary64) (*.f64 (sqrt.f64 (fma.f64 #s(literal -2 binary64) (log.f64 u1) #s(literal 0 binary64))) (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2)))) #s(literal 1/2 binary64))
(pow (sqrt (* (sqrt (* -2 (log u1))) (cos (* 2 (* (PI) u2))))) 2)
(*.f64 (sqrt.f64 (fma.f64 #s(literal -2 binary64) (log.f64 u1) #s(literal 0 binary64))) (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2))))
(sqrt (* (sqrt (* -2 (log u1))) (cos (* 2 (* (PI) u2)))))
(sqrt.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -2 binary64) (log.f64 u1) #s(literal 0 binary64))) (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2)))))
(* (sqrt (* -2 (log u1))) (cos (* 2 (* (PI) u2))))
(*.f64 (sqrt.f64 (fma.f64 #s(literal -2 binary64) (log.f64 u1) #s(literal 0 binary64))) (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2))))
(sqrt (* -2 (log u1)))
(sqrt.f64 (fma.f64 #s(literal -2 binary64) (log.f64 u1) #s(literal 0 binary64)))
(* -2 (log u1))
(fma.f64 #s(literal -2 binary64) (log.f64 u1) #s(literal 0 binary64))
-2
#s(literal -2 binary64)
(log u1)
(log.f64 u1)
u1
(cos (* 2 (* (PI) u2)))
(cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2)))
(* 2 (* (PI) u2))
(*.f64 (PI.f64) (+.f64 u2 u2))
2
#s(literal 2 binary64)
(* (PI) u2)
(*.f64 (PI.f64) u2)
(PI)
(PI.f64)
u2
1/6
#s(literal 1/6 binary64)
1/2
#s(literal 1/2 binary64)
(* (+ (* 1/36 (* -2 (log u1))) -1/4) (/ 1 (* (+ (* (log u1) 1/18) 1/4) (/ 1 (+ (* (sqrt (* -2 (log u1))) -1/6) -1/2)))))
(fma.f64 (fma.f64 (sqrt.f64 (fma.f64 #s(literal -2 binary64) (log.f64 u1) #s(literal 0 binary64))) #s(literal -1/6 binary64) #s(literal -1/2 binary64)) (/.f64 (fma.f64 (log.f64 u1) #s(literal -1/18 binary64) #s(literal -1/4 binary64)) (fma.f64 (log.f64 u1) #s(literal 1/18 binary64) #s(literal 1/4 binary64))) #s(literal 0 binary64))
(+ (* 1/36 (* -2 (log u1))) -1/4)
(fma.f64 (log.f64 u1) #s(literal -1/18 binary64) #s(literal -1/4 binary64))
1/36
#s(literal 1/36 binary64)
(* -2 (log u1))
(fma.f64 #s(literal -2 binary64) (log.f64 u1) #s(literal 0 binary64))
-2
#s(literal -2 binary64)
(log u1)
(log.f64 u1)
u1
-1/4
#s(literal -1/4 binary64)
(/ 1 (* (+ (* (log u1) 1/18) 1/4) (/ 1 (+ (* (sqrt (* -2 (log u1))) -1/6) -1/2))))
(/.f64 (fma.f64 (sqrt.f64 (fma.f64 #s(literal -2 binary64) (log.f64 u1) #s(literal 0 binary64))) #s(literal -1/6 binary64) #s(literal -1/2 binary64)) (fma.f64 (log.f64 u1) #s(literal 1/18 binary64) #s(literal 1/4 binary64)))
1
#s(literal 1 binary64)
(* (+ (* (log u1) 1/18) 1/4) (/ 1 (+ (* (sqrt (* -2 (log u1))) -1/6) -1/2)))
(/.f64 (fma.f64 (log.f64 u1) #s(literal 1/18 binary64) #s(literal 1/4 binary64)) (fma.f64 (sqrt.f64 (fma.f64 #s(literal -2 binary64) (log.f64 u1) #s(literal 0 binary64))) #s(literal -1/6 binary64) #s(literal -1/2 binary64)))
(+ (* (log u1) 1/18) 1/4)
(fma.f64 (log.f64 u1) #s(literal 1/18 binary64) #s(literal 1/4 binary64))
1/18
#s(literal 1/18 binary64)
1/4
#s(literal 1/4 binary64)
(/ 1 (+ (* (sqrt (* -2 (log u1))) -1/6) -1/2))
(/.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 (fma.f64 #s(literal -2 binary64) (log.f64 u1) #s(literal 0 binary64))) #s(literal -1/6 binary64) #s(literal -1/2 binary64)))
(+ (* (sqrt (* -2 (log u1))) -1/6) -1/2)
(fma.f64 (sqrt.f64 (fma.f64 #s(literal -2 binary64) (log.f64 u1) #s(literal 0 binary64))) #s(literal -1/6 binary64) #s(literal -1/2 binary64))
(sqrt (* -2 (log u1)))
(sqrt.f64 (fma.f64 #s(literal -2 binary64) (log.f64 u1) #s(literal 0 binary64)))
-1/6
#s(literal -1/6 binary64)
-1/2
#s(literal -1/2 binary64)

localize231.0ms (1.7%)

Memory
4.6MiB live, 486.2MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
✓accuracy99.5%
(*.f64 (fma.f64 (log.f64 u1) #s(literal 1/18 binary64) #s(literal 1/4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal -1/6 binary64) #s(literal -1/2 binary64))))
✓accuracy99.5%
(fma.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal -1/6 binary64) #s(literal -1/2 binary64))
✓accuracy99.4%
(fma.f64 (log.f64 u1) #s(literal 1/18 binary64) #s(literal 1/4 binary64))
✓accuracy99.4%
(fma.f64 #s(literal 1/36 binary64) (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal -1/4 binary64))
✓accuracy99.8%
(sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)))
✓accuracy99.5%
(*.f64 (PI.f64) u2)
✓accuracy99.5%
(fma.f64 (pow.f64 (sqrt.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) #s(literal 1/2 binary64))
✓accuracy99.2%
(pow.f64 (sqrt.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))
✓accuracy99.8%
(sqrt.f64 (-.f64 #s(literal 0 binary64) (log.f64 u1)))
✓accuracy99.5%
(*.f64 (PI.f64) u2)
✓accuracy99.5%
(fma.f64 (*.f64 (*.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (log.f64 u1))) (sqrt.f64 #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))
✓accuracy99.3%
(*.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (log.f64 u1))) (sqrt.f64 #s(literal 2 binary64)))
✓accuracy99.8%
(sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)))
✓accuracy99.6%
(/.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal 1/6 binary64) #s(literal 1/2 binary64)))
✓accuracy99.6%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal 1/6 binary64) #s(literal 1/2 binary64))))
✓accuracy99.5%
(fma.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal 1/6 binary64) #s(literal 1/2 binary64))
✓accuracy100.0%
(cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2)))
✓accuracy99.8%
(sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)))
✓accuracy99.5%
(*.f64 (PI.f64) (+.f64 u2 u2))
✓accuracy99.5%
(fma.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2)))) #s(literal 1/6 binary64) #s(literal 1/2 binary64))
Samples
127.0ms256×0valid
Compiler

Compiled 381 to 55 computations (85.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 75.0ms
ival-mult: 23.0ms (30.5% of total)
const: 17.0ms (22.6% of total)
ival-add: 9.0ms (11.9% of total)
ival-div: 6.0ms (8% of total)
ival-sqrt: 6.0ms (8% of total)
ival-log: 4.0ms (5.3% of total)
ival-cos: 4.0ms (5.3% of total)
ival-pow2: 2.0ms (2.7% of total)
ival-pi: 1.0ms (1.3% of total)
ival-sub: 1.0ms (1.3% of total)
exact: 1.0ms (1.3% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series183.0ms (1.4%)

Memory
17.5MiB live, 249.5MiB allocated
Counts
23 → 360
Calls
Call 1
Inputs
#<alt (+ (* (* (sqrt (* -2 (log u1))) (cos (* (PI) (+ u2 u2)))) 1/6) 1/2)>
#<alt (* (sqrt (* -2 (log u1))) (cos (* (PI) (+ u2 u2))))>
#<alt (sqrt (* -2 (log u1)))>
#<alt (log u1)>
#<alt (/ 1 (/ 1 (+ (* (sqrt (* -2 (log u1))) 1/6) 1/2)))>
#<alt (/ 1 (+ (* (sqrt (* -2 (log u1))) 1/6) 1/2))>
#<alt (+ (* (sqrt (* -2 (log u1))) 1/6) 1/2)>
#<alt (* 2 (* (PI) u2))>
#<alt (+ (* (* (* (sqrt (- 0 (log u1))) (sqrt 2)) (cos (* 2 (* (PI) u2)))) 1/6) 1/2)>
#<alt (* (* (sqrt (- 0 (log u1))) (sqrt 2)) (cos (* 2 (* (PI) u2))))>
#<alt (* (sqrt (- 0 (log u1))) (sqrt 2))>
#<alt (pow (sqrt (* (sqrt (* -2 (log u1))) (cos (* 2 (* (PI) u2))))) 2)>
#<alt (+ (* (pow (sqrt (* (sqrt (* -2 (log u1))) (cos (* 2 (* (PI) u2))))) 2) 1/6) 1/2)>
#<alt (sqrt (* (sqrt (* -2 (log u1))) (cos (* 2 (* (PI) u2)))))>
#<alt (/ 1 (* (+ (* (log u1) 1/18) 1/4) (/ 1 (+ (* (sqrt (* -2 (log u1))) -1/6) -1/2))))>
#<alt (+ (* 1/36 (* -2 (log u1))) -1/4)>
#<alt (* (+ (* (log u1) 1/18) 1/4) (/ 1 (+ (* (sqrt (* -2 (log u1))) -1/6) -1/2)))>
#<alt (* (PI) (+ u2 u2))>
#<alt (cos (* (PI) (+ u2 u2)))>
#<alt (* (PI) u2)>
#<alt (sqrt (- 0 (log u1)))>
#<alt (+ (* (log u1) 1/18) 1/4)>
#<alt (+ (* (sqrt (* -2 (log u1))) -1/6) -1/2)>
Outputs
#<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 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))>
#<alt (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))>
#<alt (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))>
#<alt (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))>
#<alt (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -2) (sqrt -1))) (sqrt (log (/ 1 u1))))>
#<alt (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -2) (sqrt -1))) (sqrt (log (/ 1 u1))))>
#<alt (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -2) (sqrt -1))) (sqrt (log (/ 1 u1))))>
#<alt (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -2) (sqrt -1))) (sqrt (log (/ 1 u1))))>
#<alt (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))>
#<alt (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))>
#<alt (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))>
#<alt (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))>
#<alt (* (sqrt (log u1)) (sqrt -2))>
#<alt (+ (* -2 (* (* (pow u2 2) (* (pow (PI) 2) (sqrt -2))) (sqrt (log u1)))) (* (sqrt (log u1)) (sqrt -2)))>
#<alt (+ (* (sqrt (log u1)) (sqrt -2)) (* (pow u2 2) (+ (* -2 (* (* (pow (PI) 2) (sqrt -2)) (sqrt (log u1)))) (* 2/3 (* (* (pow u2 2) (* (pow (PI) 4) (sqrt -2))) (sqrt (log u1)))))))>
#<alt (+ (* (sqrt (log u1)) (sqrt -2)) (* (pow u2 2) (+ (* -2 (* (* (pow (PI) 2) (sqrt -2)) (sqrt (log u1)))) (* (pow u2 2) (+ (* -4/45 (* (* (pow u2 2) (* (pow (PI) 6) (sqrt -2))) (sqrt (log u1)))) (* 2/3 (* (* (pow (PI) 4) (sqrt -2)) (sqrt (log u1)))))))))>
#<alt (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))>
#<alt (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))>
#<alt (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))>
#<alt (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))>
#<alt (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))>
#<alt (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))>
#<alt (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))>
#<alt (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))>
#<alt (* (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 u1)>
#<alt (log u1)>
#<alt (log u1)>
#<alt (log u1)>
#<alt (* -1 (log (/ 1 u1)))>
#<alt (* -1 (log (/ 1 u1)))>
#<alt (* -1 (log (/ 1 u1)))>
#<alt (* -1 (log (/ 1 u1)))>
#<alt (+ (log -1) (* -1 (log (/ -1 u1))))>
#<alt (+ (log -1) (* -1 (log (/ -1 u1))))>
#<alt (+ (log -1) (* -1 (log (/ -1 u1))))>
#<alt (+ (log -1) (* -1 (log (/ -1 u1))))>
#<alt (+ 1/2 (* 1/6 (* (sqrt (log u1)) (sqrt -2))))>
#<alt (+ 1/2 (* 1/6 (* (sqrt (log u1)) (sqrt -2))))>
#<alt (+ 1/2 (* 1/6 (* (sqrt (log u1)) (sqrt -2))))>
#<alt (+ 1/2 (* 1/6 (* (sqrt (log u1)) (sqrt -2))))>
#<alt (+ 1/2 (* 1/6 (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1)))))>
#<alt (+ 1/2 (* 1/6 (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1)))))>
#<alt (+ 1/2 (* 1/6 (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1)))))>
#<alt (+ 1/2 (* 1/6 (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1)))))>
#<alt (+ 1/2 (* 1/6 (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))))>
#<alt (+ 1/2 (* 1/6 (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))))>
#<alt (+ 1/2 (* 1/6 (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))))>
#<alt (+ 1/2 (* 1/6 (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))))>
#<alt (/ 1 (+ 1/2 (* 1/6 (* (sqrt (log u1)) (sqrt -2)))))>
#<alt (/ 1 (+ 1/2 (* 1/6 (* (sqrt (log u1)) (sqrt -2)))))>
#<alt (/ 1 (+ 1/2 (* 1/6 (* (sqrt (log u1)) (sqrt -2)))))>
#<alt (/ 1 (+ 1/2 (* 1/6 (* (sqrt (log u1)) (sqrt -2)))))>
#<alt (/ 1 (+ 1/2 (* 1/6 (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1))))))>
#<alt (/ 1 (+ 1/2 (* 1/6 (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1))))))>
#<alt (/ 1 (+ 1/2 (* 1/6 (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1))))))>
#<alt (/ 1 (+ 1/2 (* 1/6 (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1))))))>
#<alt (/ 1 (+ 1/2 (* 1/6 (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))))))>
#<alt (/ 1 (+ 1/2 (* 1/6 (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))))))>
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#<alt (/ (+ 1/4 (* -1/18 (log (/ 1 u1)))) (- (* -1/6 (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1)))) 1/2))>
#<alt (/ (+ 1/4 (* -1/18 (log (/ 1 u1)))) (- (* -1/6 (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1)))) 1/2))>
#<alt (/ (+ 1/4 (* -1/18 (log (/ 1 u1)))) (- (* -1/6 (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1)))) 1/2))>
#<alt (/ (+ 1/4 (* 1/18 (+ (log -1) (* -1 (log (/ -1 u1)))))) (- (* -1/6 (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))) 1/2))>
#<alt (/ (+ 1/4 (* 1/18 (+ (log -1) (* -1 (log (/ -1 u1)))))) (- (* -1/6 (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))) 1/2))>
#<alt (/ (+ 1/4 (* 1/18 (+ (log -1) (* -1 (log (/ -1 u1)))))) (- (* -1/6 (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))) 1/2))>
#<alt (/ (+ 1/4 (* 1/18 (+ (log -1) (* -1 (log (/ -1 u1)))))) (- (* -1/6 (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))) 1/2))>
#<alt (* 2 (* u2 (PI)))>
#<alt (* 2 (* u2 (PI)))>
#<alt (* 2 (* u2 (PI)))>
#<alt (* 2 (* u2 (PI)))>
#<alt (* 2 (* u2 (PI)))>
#<alt (* 2 (* u2 (PI)))>
#<alt (* 2 (* u2 (PI)))>
#<alt (* 2 (* u2 (PI)))>
#<alt (* 2 (* u2 (PI)))>
#<alt (* 2 (* u2 (PI)))>
#<alt (* 2 (* u2 (PI)))>
#<alt (* 2 (* u2 (PI)))>
#<alt 1>
#<alt (+ 1 (* -2 (* (pow u2 2) (pow (PI) 2))))>
#<alt (+ 1 (* (pow u2 2) (+ (* -2 (pow (PI) 2)) (* 2/3 (* (pow u2 2) (pow (PI) 4))))))>
#<alt (+ 1 (* (pow u2 2) (+ (* -2 (pow (PI) 2)) (* (pow u2 2) (+ (* -4/45 (* (pow u2 2) (pow (PI) 6))) (* 2/3 (pow (PI) 4)))))))>
#<alt (cos (* 2 (* u2 (PI))))>
#<alt (cos (* 2 (* u2 (PI))))>
#<alt (cos (* 2 (* u2 (PI))))>
#<alt (cos (* 2 (* u2 (PI))))>
#<alt (cos (* 2 (* u2 (PI))))>
#<alt (cos (* 2 (* u2 (PI))))>
#<alt (cos (* 2 (* u2 (PI))))>
#<alt (cos (* 2 (* u2 (PI))))>
#<alt (* 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 (* (sqrt (log u1)) (sqrt -1))>
#<alt (* (sqrt (log u1)) (sqrt -1))>
#<alt (* (sqrt (log u1)) (sqrt -1))>
#<alt (* (sqrt (log u1)) (sqrt -1))>
#<alt (* (sqrt (log (/ 1 u1))) (pow (sqrt -1) 2))>
#<alt (* (sqrt (log (/ 1 u1))) (pow (sqrt -1) 2))>
#<alt (* (sqrt (log (/ 1 u1))) (pow (sqrt -1) 2))>
#<alt (* (sqrt (log (/ 1 u1))) (pow (sqrt -1) 2))>
#<alt (* (sqrt -1) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))>
#<alt (* (sqrt -1) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))>
#<alt (* (sqrt -1) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))>
#<alt (* (sqrt -1) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))>
#<alt (+ 1/4 (* 1/18 (log u1)))>
#<alt (+ 1/4 (* 1/18 (log u1)))>
#<alt (+ 1/4 (* 1/18 (log u1)))>
#<alt (+ 1/4 (* 1/18 (log u1)))>
#<alt (+ 1/4 (* -1/18 (log (/ 1 u1))))>
#<alt (+ 1/4 (* -1/18 (log (/ 1 u1))))>
#<alt (+ 1/4 (* -1/18 (log (/ 1 u1))))>
#<alt (+ 1/4 (* -1/18 (log (/ 1 u1))))>
#<alt (+ 1/4 (* 1/18 (+ (log -1) (* -1 (log (/ -1 u1))))))>
#<alt (+ 1/4 (* 1/18 (+ (log -1) (* -1 (log (/ -1 u1))))))>
#<alt (+ 1/4 (* 1/18 (+ (log -1) (* -1 (log (/ -1 u1))))))>
#<alt (+ 1/4 (* 1/18 (+ (log -1) (* -1 (log (/ -1 u1))))))>
#<alt (- (* -1/6 (* (sqrt (log u1)) (sqrt -2))) 1/2)>
#<alt (- (* -1/6 (* (sqrt (log u1)) (sqrt -2))) 1/2)>
#<alt (- (* -1/6 (* (sqrt (log u1)) (sqrt -2))) 1/2)>
#<alt (- (* -1/6 (* (sqrt (log u1)) (sqrt -2))) 1/2)>
#<alt (- (* -1/6 (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1)))) 1/2)>
#<alt (- (* -1/6 (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1)))) 1/2)>
#<alt (- (* -1/6 (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1)))) 1/2)>
#<alt (- (* -1/6 (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1)))) 1/2)>
#<alt (- (* -1/6 (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))) 1/2)>
#<alt (- (* -1/6 (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))) 1/2)>
#<alt (- (* -1/6 (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))) 1/2)>
#<alt (- (* -1/6 (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))) 1/2)>
Calls

90 calls:

TimeVariablePointExpression
70.0ms
u1
@inf
(sqrt (* (sqrt (* -2 (log u1))) (cos (* 2 (* (PI) u2)))))
42.0ms
u1
@inf
(+ (* (pow (sqrt (* (sqrt (* -2 (log u1))) (cos (* 2 (* (PI) u2))))) 2) 1/6) 1/2)
19.0ms
u1
@-inf
(sqrt (* (sqrt (* -2 (log u1))) (cos (* 2 (* (PI) u2)))))
16.0ms
u1
@0
(sqrt (* (sqrt (* -2 (log u1))) (cos (* 2 (* (PI) u2)))))
7.0ms
u2
@inf
(sqrt (* (sqrt (* -2 (log u1))) (cos (* 2 (* (PI) u2)))))

rewrite384.0ms (2.9%)

Memory
18.6MiB live, 729.7MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
4 460×*-lowering-*.f32
4 460×*-lowering-*.f64
3 814×/-lowering-/.f32
3 814×/-lowering-/.f64
3 732×accelerator-lowering-fma.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
052219
1269217
21939217
08517204
Stop Event
1×iter limit
1×node limit
Counts
23 → 1 028
Calls
Call 1
Inputs
(+ (* (* (sqrt (* -2 (log u1))) (cos (* (PI) (+ u2 u2)))) 1/6) 1/2)
(* (sqrt (* -2 (log u1))) (cos (* (PI) (+ u2 u2))))
(sqrt (* -2 (log u1)))
(log u1)
(/ 1 (/ 1 (+ (* (sqrt (* -2 (log u1))) 1/6) 1/2)))
(/ 1 (+ (* (sqrt (* -2 (log u1))) 1/6) 1/2))
(+ (* (sqrt (* -2 (log u1))) 1/6) 1/2)
(* 2 (* (PI) u2))
(+ (* (* (* (sqrt (- 0 (log u1))) (sqrt 2)) (cos (* 2 (* (PI) u2)))) 1/6) 1/2)
(* (* (sqrt (- 0 (log u1))) (sqrt 2)) (cos (* 2 (* (PI) u2))))
(* (sqrt (- 0 (log u1))) (sqrt 2))
(pow (sqrt (* (sqrt (* -2 (log u1))) (cos (* 2 (* (PI) u2))))) 2)
(+ (* (pow (sqrt (* (sqrt (* -2 (log u1))) (cos (* 2 (* (PI) u2))))) 2) 1/6) 1/2)
(sqrt (* (sqrt (* -2 (log u1))) (cos (* 2 (* (PI) u2)))))
(/ 1 (* (+ (* (log u1) 1/18) 1/4) (/ 1 (+ (* (sqrt (* -2 (log u1))) -1/6) -1/2))))
(+ (* 1/36 (* -2 (log u1))) -1/4)
(* (+ (* (log u1) 1/18) 1/4) (/ 1 (+ (* (sqrt (* -2 (log u1))) -1/6) -1/2)))
(* (PI) (+ u2 u2))
(cos (* (PI) (+ u2 u2)))
(* (PI) u2)
(sqrt (- 0 (log u1)))
(+ (* (log u1) 1/18) 1/4)
(+ (* (sqrt (* -2 (log u1))) -1/6) -1/2)
Outputs
(+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal 1/6 binary64)) (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2)))))
(+.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal 1/6 binary64)) (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2)))) #s(literal 1/2 binary64))
(-.f64 (/.f64 (*.f64 (*.f64 (log.f64 u1) #s(literal -1/18 binary64)) (pow.f64 (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2))) #s(literal 2 binary64))) (fma.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2)))) #s(literal -1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (fma.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2)))) #s(literal -1/2 binary64))))
(-.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal 1/6 binary64)) (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2)))))) (/.f64 (*.f64 (*.f64 (log.f64 u1) #s(literal -1/18 binary64)) (pow.f64 (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2))) #s(literal 2 binary64))) (-.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal 1/6 binary64)) (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2)))))))
(fma.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2)))) #s(literal 1/2 binary64))
(fma.f64 #s(literal 1/6 binary64) (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2)))) #s(literal 1/2 binary64))
(fma.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal 1/6 binary64)) (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2))) #s(literal 1/2 binary64))
(fma.f64 (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2))) (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal 1/6 binary64)) #s(literal 1/2 binary64))
(fma.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2)))) #s(literal 1/6 binary64) #s(literal 1/2 binary64))
(fma.f64 (sqrt.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2))))) (*.f64 (sqrt.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2))))) #s(literal 1/6 binary64)) #s(literal 1/2 binary64))
(fma.f64 (*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2)))) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal 1/2 binary64))
(fma.f64 (sqrt.f64 #s(literal -2 binary64)) (*.f64 (sqrt.f64 (log.f64 u1)) (*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2))))) #s(literal 1/2 binary64))
(fma.f64 (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2)))))) (sqrt.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2))))) #s(literal 1/2 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal 1/6 binary64)) (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2))) #s(literal 1/2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal 1/6 binary64)) (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2))) #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/4 binary64) (-.f64 (*.f64 (*.f64 (log.f64 u1) #s(literal -1/18 binary64)) (pow.f64 (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2))) #s(literal 2 binary64))) (*.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2)))) #s(literal 1/12 binary64)))) (fma.f64 #s(literal 1/216 binary64) (pow.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2)))) #s(literal 3 binary64)) #s(literal 1/8 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal 1/6 binary64)) (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2))))) (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (log.f64 u1) #s(literal -1/18 binary64)) (pow.f64 (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2))) #s(literal 2 binary64))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal 1/6 binary64)) (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2))) #s(literal 1/2 binary64)))))
(/.f64 (fma.f64 #s(literal 1/216 binary64) (pow.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2)))) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (-.f64 (fma.f64 (*.f64 (log.f64 u1) #s(literal -1/18 binary64)) (pow.f64 (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2))) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (*.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2)))) #s(literal 1/12 binary64))))
(/.f64 (fma.f64 #s(literal 1/216 binary64) (pow.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2)))) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (+.f64 #s(literal 1/4 binary64) (-.f64 (*.f64 (*.f64 (log.f64 u1) #s(literal -1/18 binary64)) (pow.f64 (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2))) #s(literal 2 binary64))) (*.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2)))) #s(literal 1/12 binary64)))))
(/.f64 (fma.f64 (*.f64 (log.f64 u1) #s(literal -1/18 binary64)) (pow.f64 (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2))) #s(literal 2 binary64)) #s(literal -1/4 binary64)) (fma.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2)))) #s(literal -1/2 binary64)))
(/.f64 (neg.f64 (fma.f64 #s(literal 1/216 binary64) (pow.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2)))) #s(literal 3 binary64)) #s(literal 1/8 binary64))) (neg.f64 (-.f64 (fma.f64 (*.f64 (log.f64 u1) #s(literal -1/18 binary64)) (pow.f64 (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2))) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (*.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2)))) #s(literal 1/12 binary64)))))
(/.f64 (neg.f64 (fma.f64 #s(literal 1/216 binary64) (pow.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2)))) #s(literal 3 binary64)) #s(literal 1/8 binary64))) (neg.f64 (+.f64 #s(literal 1/4 binary64) (-.f64 (*.f64 (*.f64 (log.f64 u1) #s(literal -1/18 binary64)) (pow.f64 (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2))) #s(literal 2 binary64))) (*.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2)))) #s(literal 1/12 binary64))))))
(/.f64 (neg.f64 (fma.f64 (*.f64 (log.f64 u1) #s(literal -1/18 binary64)) (pow.f64 (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2))) #s(literal 2 binary64)) #s(literal -1/4 binary64))) (neg.f64 (fma.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2)))) #s(literal -1/2 binary64))))
(/.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (log.f64 u1) #s(literal -1/18 binary64)) (pow.f64 (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2))) #s(literal 2 binary64)))) (-.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal 1/6 binary64)) (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2))))))
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 (log.f64 u1) #s(literal -1/18 binary64)) (pow.f64 (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2))) #s(literal 2 binary64))) (fma.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2)))) #s(literal -1/2 binary64))) (*.f64 (fma.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2)))) #s(literal -1/2 binary64)) #s(literal 1/4 binary64))) (*.f64 (fma.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2)))) #s(literal -1/2 binary64)) (fma.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2)))) #s(literal -1/2 binary64))))
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(*.f64 (-.f64 #s(literal 0 binary64) (fma.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal -1/6 binary64) #s(literal -1/2 binary64))) #s(literal -1 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 #s(literal 1 binary64) (-.f64 (fma.f64 (log.f64 u1) #s(literal -1/18 binary64) #s(literal 1/4 binary64)) (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal 1/12 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 #s(literal 1 binary64) (+.f64 #s(literal 1/4 binary64) (-.f64 (*.f64 (log.f64 u1) #s(literal -1/18 binary64)) (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal 1/12 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 #s(literal 1 binary64) (*.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (log.f64 u1) #s(literal -1/18 binary64) #s(literal 1/4 binary64)) (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal 1/12 binary64))))))
(*.f64 (fma.f64 (log.f64 u1) #s(literal -1/18 binary64) #s(literal -1/4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal -1/6 binary64) #s(literal 1/2 binary64))))
(*.f64 (fma.f64 (log.f64 u1) #s(literal -1/18 binary64) #s(literal -1/4 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal -1/6 binary64) #s(literal 1/2 binary64)))))
(*.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 (log.f64 u1) #s(literal -1/18 binary64)) #s(literal 3/2 binary64)) #s(literal -1/8 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (fma.f64 (log.f64 u1) #s(literal -1/18 binary64) #s(literal 1/4 binary64)) (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal 1/12 binary64))))))
(*.f64 (neg.f64 (fma.f64 (log.f64 u1) #s(literal -1/18 binary64) #s(literal -1/4 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.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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(*.f64 (pow.f64 (pow.f64 (fma.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal -1/6 binary64) #s(literal -1/2 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (fma.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal -1/6 binary64) #s(literal -1/2 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.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))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (log.f64 u1) #s(literal -1/18 binary64) #s(literal 1/4 binary64)) (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal 1/12 binary64)))))

simplify700.0ms (5.3%)

Memory
-70.2MiB live, 951.4MiB allocated
Algorithm
1×egg-herbie
Rules
17 668×accelerator-lowering-fma.f32
17 668×accelerator-lowering-fma.f64
6 474×+-lowering-+.f64
6 474×+-lowering-+.f32
5 628×*-lowering-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02585617
17655407
226945254
342715204
476355200
085154964
Stop Event
1×iter limit
1×node limit
Counts
360 → 360
Calls
Call 1
Inputs
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(* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))
(* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))
(* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))
(* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))
(* (sqrt (log u1)) (sqrt -2))
(+ (* -2 (* (* (pow u2 2) (* (pow (PI) 2) (sqrt -2))) (sqrt (log u1)))) (* (sqrt (log u1)) (sqrt -2)))
(+ (* (sqrt (log u1)) (sqrt -2)) (* (pow u2 2) (+ (* -2 (* (* (pow (PI) 2) (sqrt -2)) (sqrt (log u1)))) (* 2/3 (* (* (pow u2 2) (* (pow (PI) 4) (sqrt -2))) (sqrt (log u1)))))))
(+ (* (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)))))))))
(* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))
(* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))
(* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))
(* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))
(* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))
(* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))
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(* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))
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(+ 1/2 (+ (* 1/6 (* (sqrt (log u1)) (sqrt -2))) (* (pow u2 2) (+ (* -1/3 (* (* (pow (PI) 2) (sqrt -2)) (sqrt (log u1)))) (* 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)))))
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(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))))
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))))
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))))
(* (pow (* 1 (log u1)) 1/4) (sqrt (* (cos (* 2 (* u2 (PI)))) (sqrt -2))))
(* (pow (* 1 (log u1)) 1/4) (sqrt (* (cos (* 2 (* u2 (PI)))) (sqrt -2))))
(* (pow (* 1 (log u1)) 1/4) (sqrt (* (cos (* 2 (* u2 (PI)))) (sqrt -2))))
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(* (pow (* -1 (log (/ 1 u1))) 1/4) (sqrt (* (cos (* 2 (* u2 (PI)))) (sqrt -2))))
(* (pow (* -1 (log (/ 1 u1))) 1/4) (sqrt (* (cos (* 2 (* u2 (PI)))) (sqrt -2))))
(* (pow (* -1 (log (/ 1 u1))) 1/4) (sqrt (* (cos (* 2 (* u2 (PI)))) (sqrt -2))))
(* (pow (* 1 (+ (log -1) (* -1 (log (/ -1 u1))))) 1/4) (sqrt (* (cos (* 2 (* u2 (PI)))) (sqrt -2))))
(* (pow (* 1 (+ (log -1) (* -1 (log (/ -1 u1))))) 1/4) (sqrt (* (cos (* 2 (* u2 (PI)))) (sqrt -2))))
(* (pow (* 1 (+ (log -1) (* -1 (log (/ -1 u1))))) 1/4) (sqrt (* (cos (* 2 (* u2 (PI)))) (sqrt -2))))
(* (pow (* 1 (+ (log -1) (* -1 (log (/ -1 u1))))) 1/4) (sqrt (* (cos (* 2 (* u2 (PI)))) (sqrt -2))))
(* (pow (* 1 (log u1)) 1/4) (sqrt (sqrt -2)))
(+ (* -1 (* (pow (* 1 (log u1)) 1/4) (* (* (pow u2 2) (pow (PI) 2)) (sqrt (sqrt -2))))) (* (pow (* 1 (log u1)) 1/4) (sqrt (sqrt -2))))
(+ (* (pow u2 2) (+ (* -1 (* (pow (* 1 (log u1)) 1/4) (* (pow (PI) 2) (sqrt (sqrt -2))))) (* 1/2 (* (pow (* 1 (log u1)) 1/4) (* (* (pow u2 2) (- (* 2/3 (* (pow (PI) 4) (sqrt -2))) (* (pow (PI) 4) (sqrt -2)))) (sqrt (/ 1 (sqrt -2)))))))) (* (pow (* 1 (log u1)) 1/4) (sqrt (sqrt -2))))
(+ (* (pow u2 2) (+ (* -1 (* (pow (* 1 (log u1)) 1/4) (* (pow (PI) 2) (sqrt (sqrt -2))))) (* (pow u2 2) (+ (* 1/2 (* (pow (* 1 (log u1)) 1/4) (* (sqrt (/ 1 (sqrt -2))) (- (* 2/3 (* (pow (PI) 4) (sqrt -2))) (* (pow (PI) 4) (sqrt -2)))))) (* 1/2 (* (pow (* 1 (log u1)) 1/4) (* (* (pow u2 2) (- (* -4/45 (* (pow (PI) 6) (sqrt -2))) (* -1 (* (pow (PI) 2) (- (* 2/3 (* (pow (PI) 4) (sqrt -2))) (* (pow (PI) 4) (sqrt -2))))))) (sqrt (/ 1 (sqrt -2)))))))))) (* (pow (* 1 (log u1)) 1/4) (sqrt (sqrt -2))))
(* (pow (* 1 (log u1)) 1/4) (sqrt (* (cos (* 2 (* u2 (PI)))) (sqrt -2))))
(* (pow (* 1 (log u1)) 1/4) (sqrt (* (cos (* 2 (* u2 (PI)))) (sqrt -2))))
(* (pow (* 1 (log u1)) 1/4) (sqrt (* (cos (* 2 (* u2 (PI)))) (sqrt -2))))
(* (pow (* 1 (log u1)) 1/4) (sqrt (* (cos (* 2 (* u2 (PI)))) (sqrt -2))))
(* (pow (* 1 (log u1)) 1/4) (sqrt (* (cos (* 2 (* u2 (PI)))) (sqrt -2))))
(* (pow (* 1 (log u1)) 1/4) (sqrt (* (cos (* 2 (* u2 (PI)))) (sqrt -2))))
(* (pow (* 1 (log u1)) 1/4) (sqrt (* (cos (* 2 (* u2 (PI)))) (sqrt -2))))
(* (pow (* 1 (log u1)) 1/4) (sqrt (* (cos (* 2 (* u2 (PI)))) (sqrt -2))))
(/ (- (* -1/6 (* (sqrt (log u1)) (sqrt -2))) 1/2) (+ 1/4 (* 1/18 (log u1))))
(/ (- (* -1/6 (* (sqrt (log u1)) (sqrt -2))) 1/2) (+ 1/4 (* 1/18 (log u1))))
(/ (- (* -1/6 (* (sqrt (log u1)) (sqrt -2))) 1/2) (+ 1/4 (* 1/18 (log u1))))
(/ (- (* -1/6 (* (sqrt (log u1)) (sqrt -2))) 1/2) (+ 1/4 (* 1/18 (log u1))))
(/ (- (* -1/6 (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1)))) 1/2) (+ 1/4 (* -1/18 (log (/ 1 u1)))))
(/ (- (* -1/6 (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1)))) 1/2) (+ 1/4 (* -1/18 (log (/ 1 u1)))))
(/ (- (* -1/6 (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1)))) 1/2) (+ 1/4 (* -1/18 (log (/ 1 u1)))))
(/ (- (* -1/6 (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1)))) 1/2) (+ 1/4 (* -1/18 (log (/ 1 u1)))))
(/ (- (* -1/6 (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))) 1/2) (+ 1/4 (* 1/18 (+ (log -1) (* -1 (log (/ -1 u1)))))))
(/ (- (* -1/6 (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))) 1/2) (+ 1/4 (* 1/18 (+ (log -1) (* -1 (log (/ -1 u1)))))))
(/ (- (* -1/6 (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))) 1/2) (+ 1/4 (* 1/18 (+ (log -1) (* -1 (log (/ -1 u1)))))))
(/ (- (* -1/6 (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))) 1/2) (+ 1/4 (* 1/18 (+ (log -1) (* -1 (log (/ -1 u1)))))))
(- (* -1/18 (log u1)) 1/4)
(- (* -1/18 (log u1)) 1/4)
(- (* -1/18 (log u1)) 1/4)
(- (* -1/18 (log u1)) 1/4)
(- (* 1/18 (log (/ 1 u1))) 1/4)
(- (* 1/18 (log (/ 1 u1))) 1/4)
(- (* 1/18 (log (/ 1 u1))) 1/4)
(- (* 1/18 (log (/ 1 u1))) 1/4)
(- (* -1/18 (+ (log -1) (* -1 (log (/ -1 u1))))) 1/4)
(- (* -1/18 (+ (log -1) (* -1 (log (/ -1 u1))))) 1/4)
(- (* -1/18 (+ (log -1) (* -1 (log (/ -1 u1))))) 1/4)
(- (* -1/18 (+ (log -1) (* -1 (log (/ -1 u1))))) 1/4)
(/ (+ 1/4 (* 1/18 (log u1))) (- (* -1/6 (* (sqrt (log u1)) (sqrt -2))) 1/2))
(/ (+ 1/4 (* 1/18 (log u1))) (- (* -1/6 (* (sqrt (log u1)) (sqrt -2))) 1/2))
(/ (+ 1/4 (* 1/18 (log u1))) (- (* -1/6 (* (sqrt (log u1)) (sqrt -2))) 1/2))
(/ (+ 1/4 (* 1/18 (log u1))) (- (* -1/6 (* (sqrt (log u1)) (sqrt -2))) 1/2))
(/ (+ 1/4 (* -1/18 (log (/ 1 u1)))) (- (* -1/6 (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1)))) 1/2))
(/ (+ 1/4 (* -1/18 (log (/ 1 u1)))) (- (* -1/6 (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1)))) 1/2))
(/ (+ 1/4 (* -1/18 (log (/ 1 u1)))) (- (* -1/6 (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1)))) 1/2))
(/ (+ 1/4 (* -1/18 (log (/ 1 u1)))) (- (* -1/6 (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1)))) 1/2))
(/ (+ 1/4 (* 1/18 (+ (log -1) (* -1 (log (/ -1 u1)))))) (- (* -1/6 (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))) 1/2))
(/ (+ 1/4 (* 1/18 (+ (log -1) (* -1 (log (/ -1 u1)))))) (- (* -1/6 (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))) 1/2))
(/ (+ 1/4 (* 1/18 (+ (log -1) (* -1 (log (/ -1 u1)))))) (- (* -1/6 (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))) 1/2))
(/ (+ 1/4 (* 1/18 (+ (log -1) (* -1 (log (/ -1 u1)))))) (- (* -1/6 (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))) 1/2))
(* 2 (* u2 (PI)))
(* 2 (* u2 (PI)))
(* 2 (* u2 (PI)))
(* 2 (* u2 (PI)))
(* 2 (* u2 (PI)))
(* 2 (* u2 (PI)))
(* 2 (* u2 (PI)))
(* 2 (* u2 (PI)))
(* 2 (* u2 (PI)))
(* 2 (* u2 (PI)))
(* 2 (* u2 (PI)))
(* 2 (* u2 (PI)))
1
(+ 1 (* -2 (* (pow u2 2) (pow (PI) 2))))
(+ 1 (* (pow u2 2) (+ (* -2 (pow (PI) 2)) (* 2/3 (* (pow u2 2) (pow (PI) 4))))))
(+ 1 (* (pow u2 2) (+ (* -2 (pow (PI) 2)) (* (pow u2 2) (+ (* -4/45 (* (pow u2 2) (pow (PI) 6))) (* 2/3 (pow (PI) 4)))))))
(cos (* 2 (* u2 (PI))))
(cos (* 2 (* u2 (PI))))
(cos (* 2 (* u2 (PI))))
(cos (* 2 (* u2 (PI))))
(cos (* 2 (* u2 (PI))))
(cos (* 2 (* u2 (PI))))
(cos (* 2 (* u2 (PI))))
(cos (* 2 (* u2 (PI))))
(* u2 (PI))
(* u2 (PI))
(* u2 (PI))
(* u2 (PI))
(* u2 (PI))
(* u2 (PI))
(* u2 (PI))
(* u2 (PI))
(* u2 (PI))
(* u2 (PI))
(* u2 (PI))
(* u2 (PI))
(* (sqrt (log u1)) (sqrt -1))
(* (sqrt (log u1)) (sqrt -1))
(* (sqrt (log u1)) (sqrt -1))
(* (sqrt (log u1)) (sqrt -1))
(* (sqrt (log (/ 1 u1))) (pow (sqrt -1) 2))
(* (sqrt (log (/ 1 u1))) (pow (sqrt -1) 2))
(* (sqrt (log (/ 1 u1))) (pow (sqrt -1) 2))
(* (sqrt (log (/ 1 u1))) (pow (sqrt -1) 2))
(* (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))))))
(+ 1/4 (* 1/18 (log u1)))
(+ 1/4 (* 1/18 (log u1)))
(+ 1/4 (* 1/18 (log u1)))
(+ 1/4 (* 1/18 (log u1)))
(+ 1/4 (* -1/18 (log (/ 1 u1))))
(+ 1/4 (* -1/18 (log (/ 1 u1))))
(+ 1/4 (* -1/18 (log (/ 1 u1))))
(+ 1/4 (* -1/18 (log (/ 1 u1))))
(+ 1/4 (* 1/18 (+ (log -1) (* -1 (log (/ -1 u1))))))
(+ 1/4 (* 1/18 (+ (log -1) (* -1 (log (/ -1 u1))))))
(+ 1/4 (* 1/18 (+ (log -1) (* -1 (log (/ -1 u1))))))
(+ 1/4 (* 1/18 (+ (log -1) (* -1 (log (/ -1 u1))))))
(- (* -1/6 (* (sqrt (log u1)) (sqrt -2))) 1/2)
(- (* -1/6 (* (sqrt (log u1)) (sqrt -2))) 1/2)
(- (* -1/6 (* (sqrt (log u1)) (sqrt -2))) 1/2)
(- (* -1/6 (* (sqrt (log u1)) (sqrt -2))) 1/2)
(- (* -1/6 (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1)))) 1/2)
(- (* -1/6 (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1)))) 1/2)
(- (* -1/6 (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1)))) 1/2)
(- (* -1/6 (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1)))) 1/2)
(- (* -1/6 (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))) 1/2)
(- (* -1/6 (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))) 1/2)
(- (* -1/6 (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))) 1/2)
(- (* -1/6 (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))) 1/2)
Outputs
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))))
(fma.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 u2 (PI.f64)))) (*.f64 #s(literal 1/6 binary64) (*.f64 (sqrt.f64 #s(literal -2 binary64)) (sqrt.f64 (log.f64 u1)))) #s(literal 1/2 binary64))
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))))
(fma.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 u2 (PI.f64)))) (*.f64 #s(literal 1/6 binary64) (*.f64 (sqrt.f64 #s(literal -2 binary64)) (sqrt.f64 (log.f64 u1)))) #s(literal 1/2 binary64))
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))))
(fma.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 u2 (PI.f64)))) (*.f64 #s(literal 1/6 binary64) (*.f64 (sqrt.f64 #s(literal -2 binary64)) (sqrt.f64 (log.f64 u1)))) #s(literal 1/2 binary64))
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))))
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(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -2) (sqrt -1))) (sqrt (log (/ 1 u1))))))
(fma.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 u2 (PI.f64)))) (*.f64 #s(literal 1/6 binary64) (*.f64 (sqrt.f64 #s(literal -2 binary64)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (-.f64 #s(literal 0 binary64) (log.f64 u1)))))) #s(literal 1/2 binary64))
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -2) (sqrt -1))) (sqrt (log (/ 1 u1))))))
(fma.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 u2 (PI.f64)))) (*.f64 #s(literal 1/6 binary64) (*.f64 (sqrt.f64 #s(literal -2 binary64)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (-.f64 #s(literal 0 binary64) (log.f64 u1)))))) #s(literal 1/2 binary64))
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -2) (sqrt -1))) (sqrt (log (/ 1 u1))))))
(fma.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 u2 (PI.f64)))) (*.f64 #s(literal 1/6 binary64) (*.f64 (sqrt.f64 #s(literal -2 binary64)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (-.f64 #s(literal 0 binary64) (log.f64 u1)))))) #s(literal 1/2 binary64))
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -2) (sqrt -1))) (sqrt (log (/ 1 u1))))))
(fma.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 u2 (PI.f64)))) (*.f64 #s(literal 1/6 binary64) (*.f64 (sqrt.f64 #s(literal -2 binary64)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (-.f64 #s(literal 0 binary64) (log.f64 u1)))))) #s(literal 1/2 binary64))
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))))
(fma.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 u2 (PI.f64)))) (*.f64 (sqrt.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) u1)))) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -2 binary64)))) #s(literal 1/2 binary64))
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))))
(fma.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 u2 (PI.f64)))) (*.f64 (sqrt.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) u1)))) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -2 binary64)))) #s(literal 1/2 binary64))
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))))
(fma.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 u2 (PI.f64)))) (*.f64 (sqrt.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) u1)))) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -2 binary64)))) #s(literal 1/2 binary64))
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))))
(fma.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 u2 (PI.f64)))) (*.f64 (sqrt.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) u1)))) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -2 binary64)))) #s(literal 1/2 binary64))
(+ 1/2 (* 1/6 (* (sqrt (log u1)) (sqrt -2))))
(fma.f64 #s(literal 1/6 binary64) (*.f64 (sqrt.f64 #s(literal -2 binary64)) (sqrt.f64 (log.f64 u1))) #s(literal 1/2 binary64))
(+ 1/2 (+ (* -1/3 (* (* (pow u2 2) (* (pow (PI) 2) (sqrt -2))) (sqrt (log u1)))) (* 1/6 (* (sqrt (log u1)) (sqrt -2)))))
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(/ (+ 1/4 (* 1/18 (+ (log -1) (* -1 (log (/ -1 u1)))))) (- (* -1/6 (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))) 1/2))
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(/ (+ 1/4 (* 1/18 (+ (log -1) (* -1 (log (/ -1 u1)))))) (- (* -1/6 (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))) 1/2))
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(* 2 (* u2 (PI)))
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(*.f64 #s(literal 2 binary64) (*.f64 u2 (PI.f64)))
1
#s(literal 1 binary64)
(+ 1 (* -2 (* (pow u2 2) (pow (PI) 2))))
(fma.f64 (*.f64 u2 u2) (*.f64 #s(literal -2 binary64) (*.f64 (PI.f64) (PI.f64))) #s(literal 1 binary64))
(+ 1 (* (pow u2 2) (+ (* -2 (pow (PI) 2)) (* 2/3 (* (pow u2 2) (pow (PI) 4))))))
(fma.f64 (*.f64 u2 u2) (fma.f64 (PI.f64) (*.f64 (PI.f64) #s(literal -2 binary64)) (*.f64 (pow.f64 (PI.f64) #s(literal 4 binary64)) (*.f64 (*.f64 u2 u2) #s(literal 2/3 binary64)))) #s(literal 1 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)))))))
(fma.f64 (*.f64 u2 u2) (fma.f64 (PI.f64) (*.f64 (PI.f64) #s(literal -2 binary64)) (*.f64 (*.f64 u2 u2) (fma.f64 (*.f64 u2 u2) (*.f64 (pow.f64 (PI.f64) #s(literal 6 binary64)) #s(literal -4/45 binary64)) (fma.f64 (pow.f64 (PI.f64) #s(literal 4 binary64)) #s(literal 2/3 binary64) #s(literal 0 binary64))))) #s(literal 1 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))))
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(cos (* 2 (* u2 (PI))))
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(cos (* 2 (* u2 (PI))))
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(cos (* 2 (* u2 (PI))))
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(cos (* 2 (* u2 (PI))))
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(cos (* 2 (* u2 (PI))))
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(* u2 (PI))
(*.f64 u2 (PI.f64))
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(* u2 (PI))
(*.f64 u2 (PI.f64))
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(*.f64 u2 (PI.f64))
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(*.f64 u2 (PI.f64))
(* u2 (PI))
(*.f64 u2 (PI.f64))
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(*.f64 u2 (PI.f64))
(* u2 (PI))
(*.f64 u2 (PI.f64))
(* u2 (PI))
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(* (sqrt (log u1)) (sqrt -1))
(*.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 #s(literal -1 binary64)))
(* (sqrt (log u1)) (sqrt -1))
(*.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 #s(literal -1 binary64)))
(* (sqrt (log u1)) (sqrt -1))
(*.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 #s(literal -1 binary64)))
(* (sqrt (log u1)) (sqrt -1))
(*.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 #s(literal -1 binary64)))
(* (sqrt (log (/ 1 u1))) (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)))))
(+ 1/4 (* 1/18 (log u1)))
(fma.f64 (log.f64 u1) #s(literal 1/18 binary64) #s(literal 1/4 binary64))
(+ 1/4 (* 1/18 (log u1)))
(fma.f64 (log.f64 u1) #s(literal 1/18 binary64) #s(literal 1/4 binary64))
(+ 1/4 (* 1/18 (log u1)))
(fma.f64 (log.f64 u1) #s(literal 1/18 binary64) #s(literal 1/4 binary64))
(+ 1/4 (* 1/18 (log u1)))
(fma.f64 (log.f64 u1) #s(literal 1/18 binary64) #s(literal 1/4 binary64))
(+ 1/4 (* -1/18 (log (/ 1 u1))))
(fma.f64 (log.f64 u1) #s(literal 1/18 binary64) #s(literal 1/4 binary64))
(+ 1/4 (* -1/18 (log (/ 1 u1))))
(fma.f64 (log.f64 u1) #s(literal 1/18 binary64) #s(literal 1/4 binary64))
(+ 1/4 (* -1/18 (log (/ 1 u1))))
(fma.f64 (log.f64 u1) #s(literal 1/18 binary64) #s(literal 1/4 binary64))
(+ 1/4 (* -1/18 (log (/ 1 u1))))
(fma.f64 (log.f64 u1) #s(literal 1/18 binary64) #s(literal 1/4 binary64))
(+ 1/4 (* 1/18 (+ (log -1) (* -1 (log (/ -1 u1))))))
(fma.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) u1))) #s(literal 1/18 binary64) #s(literal 1/4 binary64))
(+ 1/4 (* 1/18 (+ (log -1) (* -1 (log (/ -1 u1))))))
(fma.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) u1))) #s(literal 1/18 binary64) #s(literal 1/4 binary64))
(+ 1/4 (* 1/18 (+ (log -1) (* -1 (log (/ -1 u1))))))
(fma.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) u1))) #s(literal 1/18 binary64) #s(literal 1/4 binary64))
(+ 1/4 (* 1/18 (+ (log -1) (* -1 (log (/ -1 u1))))))
(fma.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) u1))) #s(literal 1/18 binary64) #s(literal 1/4 binary64))
(- (* -1/6 (* (sqrt (log u1)) (sqrt -2))) 1/2)
(fma.f64 (sqrt.f64 (log.f64 u1)) (*.f64 (sqrt.f64 #s(literal -2 binary64)) #s(literal -1/6 binary64)) #s(literal -1/2 binary64))
(- (* -1/6 (* (sqrt (log u1)) (sqrt -2))) 1/2)
(fma.f64 (sqrt.f64 (log.f64 u1)) (*.f64 (sqrt.f64 #s(literal -2 binary64)) #s(literal -1/6 binary64)) #s(literal -1/2 binary64))
(- (* -1/6 (* (sqrt (log u1)) (sqrt -2))) 1/2)
(fma.f64 (sqrt.f64 (log.f64 u1)) (*.f64 (sqrt.f64 #s(literal -2 binary64)) #s(literal -1/6 binary64)) #s(literal -1/2 binary64))
(- (* -1/6 (* (sqrt (log u1)) (sqrt -2))) 1/2)
(fma.f64 (sqrt.f64 (log.f64 u1)) (*.f64 (sqrt.f64 #s(literal -2 binary64)) #s(literal -1/6 binary64)) #s(literal -1/2 binary64))
(- (* -1/6 (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1)))) 1/2)
(fma.f64 (*.f64 (sqrt.f64 #s(literal -2 binary64)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (-.f64 #s(literal 0 binary64) (log.f64 u1))))) #s(literal -1/6 binary64) #s(literal -1/2 binary64))
(- (* -1/6 (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1)))) 1/2)
(fma.f64 (*.f64 (sqrt.f64 #s(literal -2 binary64)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (-.f64 #s(literal 0 binary64) (log.f64 u1))))) #s(literal -1/6 binary64) #s(literal -1/2 binary64))
(- (* -1/6 (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1)))) 1/2)
(fma.f64 (*.f64 (sqrt.f64 #s(literal -2 binary64)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (-.f64 #s(literal 0 binary64) (log.f64 u1))))) #s(literal -1/6 binary64) #s(literal -1/2 binary64))
(- (* -1/6 (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1)))) 1/2)
(fma.f64 (*.f64 (sqrt.f64 #s(literal -2 binary64)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (-.f64 #s(literal 0 binary64) (log.f64 u1))))) #s(literal -1/6 binary64) #s(literal -1/2 binary64))
(- (* -1/6 (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))) 1/2)
(fma.f64 (sqrt.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) u1)))) (*.f64 (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)
(fma.f64 (sqrt.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) u1)))) (*.f64 (sqrt.f64 #s(literal -2 binary64)) #s(literal -1/6 binary64)) #s(literal -1/2 binary64))
(- (* -1/6 (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))) 1/2)
(fma.f64 (sqrt.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) u1)))) (*.f64 (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)
(fma.f64 (sqrt.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) u1)))) (*.f64 (sqrt.f64 #s(literal -2 binary64)) #s(literal -1/6 binary64)) #s(literal -1/2 binary64))

eval265.0ms (2%)

Memory
11.7MiB live, 512.0MiB allocated
Compiler

Compiled 49 741 to 4 650 computations (90.7% saved)

prune196.0ms (1.5%)

Memory
19.7MiB live, 567.6MiB allocated
Pruning

14 alts after pruning (11 fresh and 3 done)

PrunedKeptTotal
New1 73251 737
Fresh14620
Picked325
Done112
Total1 750141 764
Accuracy
100.0%
Counts
1 764 → 14
Alt Table
Click to see full alt table
StatusAccuracyProgram
98.2%
(fma.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (fma.f64 (*.f64 u2 u2) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal -2 binary64)) #s(literal 1 binary64))) #s(literal 1/6 binary64) #s(literal 1/2 binary64))
57.9%
(fma.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (cos.f64 (/.f64 (*.f64 (*.f64 (fma.f64 u2 u2 #s(literal 0 binary64)) (+.f64 u2 u2)) (PI.f64)) (fma.f64 u2 u2 #s(literal 0 binary64))))) #s(literal 1/6 binary64) #s(literal 1/2 binary64))
✓99.5%
(fma.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2)))) #s(literal 1/6 binary64) #s(literal 1/2 binary64))
99.5%
(fma.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal 1/6 binary64)) (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2))) #s(literal 1/2 binary64))
99.5%
(fma.f64 (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (-.f64 #s(literal 0 binary64) (log.f64 u1)))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2)))) #s(literal 1/2 binary64))
99.6%
(fma.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (log.f64 u1))) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2)))) #s(literal 1/6 binary64)) #s(literal 1/2 binary64))
✓97.8%
(fma.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal 1/6 binary64) #s(literal 1/2 binary64))
97.5%
(/.f64 (fma.f64 (log.f64 u1) #s(literal 1/18 binary64) #s(literal 1/4 binary64)) (fma.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal -1/6 binary64) #s(literal 1/2 binary64)))
99.1%
(/.f64 (fma.f64 #s(literal 1/36 binary64) (pow.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))) u2)))) #s(literal 2 binary64)) #s(literal -1/4 binary64)) (fma.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))) #s(literal -1/2 binary64)))
97.4%
(/.f64 (/.f64 #s(literal 1 binary64) (fma.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) (fma.f64 (log.f64 u1) #s(literal -1/18 binary64) #s(literal -1/4 binary64))))
97.5%
(/.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 (log.f64 u1) #s(literal -1/18 binary64))) (-.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal 1/6 binary64))))
97.5%
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal 1/6 binary64) #s(literal -1/2 binary64)) (fma.f64 (log.f64 u1) #s(literal -1/18 binary64) #s(literal -1/4 binary64))))
✓97.7%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal 1/6 binary64) #s(literal 1/2 binary64))))
97.5%
(*.f64 (fma.f64 (log.f64 u1) #s(literal 1/18 binary64) #s(literal 1/4 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal 1/6 binary64) #s(literal -1/2 binary64))))
Compiler

Compiled 1 745 to 474 computations (72.8% saved)

regimes220.0ms (1.6%)

Memory
6.0MiB live, 318.9MiB allocated
Counts
62 → 1
Calls
Call 1
Inputs
(fma.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (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)) #s(literal 1/6 binary64)) #s(literal 1/2 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal 1/6 binary64) #s(literal 1/2 binary64))))
(fma.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (fma.f64 (*.f64 u2 u2) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal -2 binary64)) #s(literal 1 binary64))) #s(literal 1/6 binary64) #s(literal 1/2 binary64))
(fma.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal 1/6 binary64)) (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2))) #s(literal 1/2 binary64))
(fma.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2)))) #s(literal 1/6 binary64) #s(literal 1/2 binary64))
(fma.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal 1/6 binary64)) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))) #s(literal 1/2 binary64))
(fma.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))) #s(literal 1/6 binary64) #s(literal 1/2 binary64))
(/.f64 (fma.f64 (log.f64 u1) #s(literal 1/18 binary64) #s(literal 1/4 binary64)) (fma.f64 (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 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal 1/6 binary64))))
(*.f64 (fma.f64 (log.f64 u1) #s(literal 1/18 binary64) #s(literal 1/4 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal 1/6 binary64) #s(literal -1/2 binary64))))
(/.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal -1/4 binary64)) (fma.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 #s(literal 1/36 binary64) (*.f64 #s(literal -2 binary64) (log.f64 u1)))) (-.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal 1/6 binary64))))
(fma.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (log.f64 u1))) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2)))) #s(literal 1/6 binary64)) #s(literal 1/2 binary64))
(fma.f64 (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (-.f64 #s(literal 0 binary64) (log.f64 u1)))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2)))) #s(literal 1/2 binary64))
(*.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal -1/4 binary64)) (/.f64 #s(literal 1 binary64) (fma.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 (fma.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal 1/6 binary64) #s(literal -1/2 binary64)) (fma.f64 (log.f64 u1) #s(literal -1/18 binary64) #s(literal -1/4 binary64))))
(fma.f64 (*.f64 (*.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (log.f64 u1))) (sqrt.f64 #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 (fma.f64 (*.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/6 binary64)) #s(literal 1/6 binary64) #s(literal -1/4 binary64)) (/.f64 #s(literal 1 binary64) (fma.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 (/.f64 #s(literal 1 binary64) (fma.f64 (log.f64 u1) #s(literal -1/18 binary64) #s(literal -1/4 binary64))) (fma.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 (fma.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal 1/6 binary64) #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/36 binary64) (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal -1/4 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))) #s(literal 1/2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))) #s(literal 1/6 binary64)) #s(literal 1/2 binary64))))
(/.f64 (/.f64 #s(literal 1 binary64) (fma.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) (fma.f64 (log.f64 u1) #s(literal -1/18 binary64) #s(literal -1/4 binary64))))
(+.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) (*.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (log.f64 u1))) (sqrt.f64 #s(literal 2 binary64)))) (cos.f64 (*.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) u2))) #s(literal 1/2 binary64))
(fma.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (cos.f64 (/.f64 (*.f64 (*.f64 (fma.f64 u2 u2 #s(literal 0 binary64)) (+.f64 u2 u2)) (PI.f64)) (fma.f64 u2 u2 #s(literal 0 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 (*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64)))) u2)))) #s(literal 1/6 binary64) #s(literal 1/2 binary64))
(fma.f64 (exp.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))))) #s(literal 1/6 binary64) #s(literal 1/2 binary64))
(+.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/2 binary64))) (cos.f64 (*.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) u2))) #s(literal 1/2 binary64))
(fma.f64 (pow.f64 (sqrt.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) #s(literal 1/2 binary64))
(/.f64 (*.f64 (fma.f64 (log.f64 u1) #s(literal -1/18 binary64) #s(literal 1/4 binary64)) (fma.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal 1/6 binary64) #s(literal 1/2 binary64))) (fma.f64 (log.f64 u1) #s(literal -1/18 binary64) #s(literal 1/4 binary64)))
(*.f64 (*.f64 (fma.f64 (log.f64 u1) #s(literal -1/18 binary64) #s(literal 1/4 binary64)) (fma.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) (fma.f64 (log.f64 u1) #s(literal -1/18 binary64) #s(literal 1/4 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (log.f64 u1) #s(literal -1/18 binary64) #s(literal -1/4 binary64))) (*.f64 (fma.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (fma.f64 (log.f64 u1) #s(literal -1/18 binary64) #s(literal -1/4 binary64))))
(*.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal -1/4 binary64)) (*.f64 (fma.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) (fma.f64 (log.f64 u1) #s(literal -1/18 binary64) #s(literal -1/4 binary64)))))
(*.f64 (fma.f64 #s(literal 1/36 binary64) (pow.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal 2 binary64)) #s(literal -1/4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal 1/6 binary64) #s(literal -1/2 binary64))))
(*.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal -1/4 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (log.f64 u1) #s(literal 1/18 binary64) #s(literal 1/4 binary64)) (/.f64 #s(literal 1 binary64) (fma.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 binary64) (fma.f64 (log.f64 u1) #s(literal -1/18 binary64) #s(literal -1/4 binary64))) (/.f64 (fma.f64 (log.f64 u1) #s(literal -1/18 binary64) #s(literal -1/4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal 1/6 binary64) #s(literal 1/2 binary64)))))
(-.f64 (/.f64 (*.f64 (log.f64 u1) #s(literal -1/18 binary64)) (fma.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) (fma.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal -1/6 binary64) #s(literal 1/2 binary64))))
(fma.f64 (/.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) (fma.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal 1/6 binary64) #s(literal -1/2 binary64))) #s(literal 1/36 binary64) (/.f64 #s(literal -1/4 binary64) (fma.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 1/36 binary64) (*.f64 #s(literal -2 binary64) (log.f64 u1))) (fma.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) (fma.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal 1/6 binary64) #s(literal -1/2 binary64))))
(*.f64 (fma.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal 1/36 binary64)) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal -1/4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal 1/6 binary64) #s(literal -1/2 binary64))))
(fma.f64 (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/4 binary64)) (*.f64 (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/4 binary64)) #s(literal 1/6 binary64)) #s(literal 1/2 binary64))
(fma.f64 (*.f64 (exp.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))))) (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 (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/4 binary64)) #s(literal 2 binary64))) (cos.f64 (*.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) u2))) #s(literal 1/2 binary64))
(+.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) (exp.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)))))) (cos.f64 (*.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) u2))) #s(literal 1/2 binary64))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))) #s(literal -1 binary64)))
(/.f64 (fma.f64 #s(literal 1/216 binary64) (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 3/2 binary64)) #s(literal 1/8 binary64)) (-.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/4 binary64)) (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal 1/12 binary64))))
(*.f64 (fma.f64 #s(literal 1/216 binary64) (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 3/2 binary64)) #s(literal 1/8 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/4 binary64)) (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal 1/12 binary64)))))
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal 2 binary64)) #s(literal 1/16 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/4 binary64)) (fma.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal 1/6 binary64) #s(literal -1/2 binary64))))
(/.f64 (fma.f64 #s(literal 1/36 binary64) (pow.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))) #s(literal 2 binary64)) #s(literal -1/4 binary64)) (fma.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (*.f64 #s(literal 1/6 binary64) #s(literal 1 binary64)) #s(literal -1/2 binary64)))
(fma.f64 (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/4 binary64)) (*.f64 (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/4 binary64)) (*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))))) #s(literal 1/2 binary64))
(+.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (log.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))))) (cos.f64 (*.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) u2))) #s(literal 1/2 binary64))
(/.f64 (fma.f64 #s(literal 1/36 binary64) (pow.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))) #s(literal 2 binary64)) #s(literal -1/4 binary64)) (fma.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))) #s(literal -1/2 binary64)))
(/.f64 (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal -1/36 binary64) (pow.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))) #s(literal 2 binary64)))) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))) #s(literal -1/6 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))) #s(literal -1/6 binary64))) (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal -1/36 binary64) (pow.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))) #s(literal 2 binary64))))))
(/.f64 (fma.f64 #s(literal 1/36 binary64) (pow.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))) u2)))) #s(literal 2 binary64)) #s(literal -1/4 binary64)) (fma.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))) #s(literal -1/2 binary64)))
(+.f64 (*.f64 (*.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 (fma.f64 #s(literal 1/216 binary64) (pow.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (fma.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))))) (fma.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))) #s(literal -1/2 binary64)) #s(literal 1/4 binary64)))
(fma.f64 #s(literal 1/36 binary64) (/.f64 (pow.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))) #s(literal 2 binary64)) (fma.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))) #s(literal -1/2 binary64))) (neg.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))) #s(literal -1/2 binary64)))))
(/.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) (fma.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))) #s(literal -1/2 binary64)))) (fma.f64 #s(literal 1/36 binary64) (pow.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))) #s(literal 2 binary64)) #s(literal 1/4 binary64)))
(fma.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))) #s(literal 1/36 binary64)) (/.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))) (fma.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))) #s(literal -1/2 binary64))) (neg.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))) #s(literal -1/2 binary64)))))
(*.f64 (/.f64 (fma.f64 #s(literal 1/36 binary64) (pow.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))) #s(literal 2 binary64)) #s(literal -1/4 binary64)) (fma.f64 #s(literal 1/216 binary64) (pow.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))) #s(literal 3 binary64)) #s(literal -1/8 binary64))) (fma.f64 #s(literal 1/36 binary64) (pow.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))) #s(literal 2 binary64)) (fma.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))) (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal 1/12 binary64)) #s(literal 1/4 binary64))))
Outputs
(fma.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (log.f64 u1))) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2)))) #s(literal 1/6 binary64)) #s(literal 1/2 binary64))
Calls

10 calls:

38.0ms
u2
33.0ms
(*.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)))
24.0ms
(pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/2 binary64))
21.0ms
(*.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) u2)
18.0ms
u1
Results
AccuracySegmentsBranch
99.6%1u1
99.6%1u2
99.6%1(+.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/2 binary64))) (cos.f64 (*.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) u2))) #s(literal 1/2 binary64))
99.6%1(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/2 binary64))) (cos.f64 (*.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) u2)))
99.6%1(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/2 binary64)))
99.6%1(pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/2 binary64))
99.6%1(*.f64 #s(literal -2 binary64) (log.f64 u1))
99.6%1(log.f64 u1)
99.6%1(cos.f64 (*.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) u2))
99.6%1(*.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) u2)
Compiler

Compiled 91 to 78 computations (14.3% saved)

regimes31.0ms (0.2%)

Memory
13.2MiB live, 52.1MiB allocated
Counts
13 → 1
Calls
Call 1
Inputs
(fma.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (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)) #s(literal 1/6 binary64)) #s(literal 1/2 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal 1/6 binary64) #s(literal 1/2 binary64))))
(fma.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (fma.f64 (*.f64 u2 u2) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal -2 binary64)) #s(literal 1 binary64))) #s(literal 1/6 binary64) #s(literal 1/2 binary64))
(fma.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal 1/6 binary64)) (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2))) #s(literal 1/2 binary64))
(fma.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2)))) #s(literal 1/6 binary64) #s(literal 1/2 binary64))
(fma.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal 1/6 binary64)) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))) #s(literal 1/2 binary64))
(fma.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))) #s(literal 1/6 binary64) #s(literal 1/2 binary64))
(/.f64 (fma.f64 (log.f64 u1) #s(literal 1/18 binary64) #s(literal 1/4 binary64)) (fma.f64 (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 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal 1/6 binary64))))
(*.f64 (fma.f64 (log.f64 u1) #s(literal 1/18 binary64) #s(literal 1/4 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal 1/6 binary64) #s(literal -1/2 binary64))))
(/.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal -1/4 binary64)) (fma.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 #s(literal 1/36 binary64) (*.f64 #s(literal -2 binary64) (log.f64 u1)))) (-.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal 1/6 binary64))))
Outputs
(fma.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2)))) #s(literal 1/6 binary64) #s(literal 1/2 binary64))
Calls

4 calls:

17.0ms
(log.f64 u1)
4.0ms
(*.f64 #s(literal -2 binary64) (log.f64 u1))
4.0ms
u1
4.0ms
u2
Results
AccuracySegmentsBranch
99.5%1u1
99.5%1u2
99.5%1(*.f64 #s(literal -2 binary64) (log.f64 u1))
99.5%1(log.f64 u1)
Compiler

Compiled 16 to 12 computations (25% saved)

regimes19.0ms (0.1%)

Memory
-8.1MiB live, 25.2MiB allocated
Counts
5 → 1
Calls
Call 1
Inputs
(fma.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (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)) #s(literal 1/6 binary64)) #s(literal 1/2 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal 1/6 binary64) #s(literal 1/2 binary64))))
(fma.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (fma.f64 (*.f64 u2 u2) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal -2 binary64)) #s(literal 1 binary64))) #s(literal 1/6 binary64) #s(literal 1/2 binary64))
(fma.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal 1/6 binary64)) (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2))) #s(literal 1/2 binary64))
Outputs
(fma.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal 1/6 binary64)) (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2))) #s(literal 1/2 binary64))
Calls

4 calls:

12.0ms
(log.f64 u1)
2.0ms
(*.f64 #s(literal -2 binary64) (log.f64 u1))
2.0ms
u1
2.0ms
u2
Results
AccuracySegmentsBranch
99.5%1u1
99.5%1u2
99.5%1(*.f64 #s(literal -2 binary64) (log.f64 u1))
99.5%1(log.f64 u1)
Compiler

Compiled 16 to 12 computations (25% saved)

regimes10.0ms (0.1%)

Memory
-12.8MiB live, 25.9MiB allocated
Counts
4 → 1
Calls
Call 1
Inputs
(fma.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (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)) #s(literal 1/6 binary64)) #s(literal 1/2 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal 1/6 binary64) #s(literal 1/2 binary64))))
(fma.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (fma.f64 (*.f64 u2 u2) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal -2 binary64)) #s(literal 1 binary64))) #s(literal 1/6 binary64) #s(literal 1/2 binary64))
Outputs
(fma.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (fma.f64 (*.f64 u2 u2) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal -2 binary64)) #s(literal 1 binary64))) #s(literal 1/6 binary64) #s(literal 1/2 binary64))
Calls

4 calls:

3.0ms
u2
2.0ms
(*.f64 #s(literal -2 binary64) (log.f64 u1))
2.0ms
(log.f64 u1)
2.0ms
u1
Results
AccuracySegmentsBranch
98.2%1u1
98.2%1u2
98.2%1(*.f64 #s(literal -2 binary64) (log.f64 u1))
98.2%1(log.f64 u1)
Compiler

Compiled 16 to 12 computations (25% saved)

regimes7.0ms (0.1%)

Memory
22.6MiB live, 22.6MiB allocated
Accuracy

Total -62.6b remaining (-4443.6%)

Threshold costs -62.6b (-4443.6%)

Counts
3 → 1
Calls
Call 1
Inputs
(fma.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (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)) #s(literal 1/6 binary64)) #s(literal 1/2 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal 1/6 binary64) #s(literal 1/2 binary64))))
Outputs
(fma.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal 1/6 binary64) #s(literal 1/2 binary64))
Calls

4 calls:

2.0ms
(*.f64 #s(literal -2 binary64) (log.f64 u1))
2.0ms
(log.f64 u1)
2.0ms
u1
2.0ms
u2
Results
AccuracySegmentsBranch
97.8%1u1
97.8%1u2
97.8%1(*.f64 #s(literal -2 binary64) (log.f64 u1))
97.8%1(log.f64 u1)
Compiler

Compiled 16 to 12 computations (25% saved)

simplify9.0ms (0.1%)

Memory
-16.5MiB live, 22.2MiB allocated
Algorithm
1×egg-herbie
Rules
18×*-commutative_binary64
2×+-commutative_binary64
2×sub0-neg_binary64
2×sub-neg_binary64
2×1-exp_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03274
14574
24874
34974
Stop Event
1×saturated
Calls
Call 1
Inputs
(fma.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (log.f64 u1))) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2)))) #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 (PI.f64) (+.f64 u2 u2)))) #s(literal 1/6 binary64) #s(literal 1/2 binary64))
(fma.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal 1/6 binary64)) (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2))) #s(literal 1/2 binary64))
(fma.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (fma.f64 (*.f64 u2 u2) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal -2 binary64)) #s(literal 1 binary64))) #s(literal 1/6 binary64) #s(literal 1/2 binary64))
(fma.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal 1/6 binary64) #s(literal 1/2 binary64))
Outputs
(fma.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (log.f64 u1))) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2)))) #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 (PI.f64) (+.f64 u2 u2)))) #s(literal 1/6 binary64) #s(literal 1/2 binary64))
(fma.f64 (*.f64 (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2))) (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)))) #s(literal 1/6 binary64) #s(literal 1/2 binary64))
(fma.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal 1/6 binary64)) (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2))) #s(literal 1/2 binary64))
(fma.f64 (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)))) (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2))) #s(literal 1/2 binary64))
(fma.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (fma.f64 (*.f64 u2 u2) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal -2 binary64)) #s(literal 1 binary64))) #s(literal 1/6 binary64) #s(literal 1/2 binary64))
(fma.f64 (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))) (fma.f64 (*.f64 u2 u2) (*.f64 #s(literal -2 binary64) (*.f64 (PI.f64) (PI.f64))) #s(literal 1 binary64))) #s(literal 1/6 binary64) #s(literal 1/2 binary64))
(fma.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal 1/6 binary64) #s(literal 1/2 binary64))
(fma.f64 (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal 1/6 binary64) #s(literal 1/2 binary64))

soundness1.6s (12.3%)

Memory
-12.2MiB live, 1 009.3MiB allocated
Rules
43 450×accelerator-lowering-fma.f32
43 450×accelerator-lowering-fma.f64
11 108×accelerator-lowering-fma.f32
11 108×accelerator-lowering-fma.f64
10 186×accelerator-lowering-fma.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
052219
1269217
21939217
08517204
0831292
12051260
26231232
322011204
428111198
539221198
653521198
754801198
855421198
955591198
1055651198
1155651198
1279931198
1379931198
1479931198
080131162
01294022
13363902
210213832
316133794
423143794
533213794
642153794
751073794
860913794
080893620
047311411
1151910471
2636910260
082439726
052272
1263271
21623267
08786256
043181
1200160
21385160
09519152
01948
17048
236148
0283247
Stop Event
1×fuel
1×iter limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
Compiler

Compiled 240 to 172 computations (28.3% saved)

preprocess47.0ms (0.4%)

Memory
-5.9MiB live, 106.1MiB allocated
Remove

(abs u2)

Compiler

Compiled 396 to 270 computations (31.8% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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