normal distribution

Time bar (total: 13.5s)

analyze24.0ms (0.2%)

Memory
-6.5MiB live, 30.3MiB 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
66.4MiB live, 1 842.5MiB allocated
Samples
1.6s8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 1.3s
ival-log: 439.0ms (32.7% of total)
ival-mult: 226.0ms (16.9% of total)
ival-cos: 223.0ms (16.6% of total)
ival-<=: 168.0ms (12.5% of total)
ival-sqrt: 91.0ms (6.8% of total)
ival-div: 72.0ms (5.4% of total)
ival-add: 41.0ms (3.1% of total)
ival-pi: 34.0ms (2.5% of total)
exact: 23.0ms (1.7% of total)
ival-and: 21.0ms (1.6% of total)
ival-assert: 3.0ms (0.2% of total)
Bogosity

preprocess31.0ms (0.2%)

Memory
-28.8MiB live, 25.6MiB 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)

explain214.0ms (1.6%)

Memory
10.6MiB live, 280.3MiB 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
95.0ms512×0valid
Compiler

Compiled 212 to 76 computations (64.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 39.0ms
ival-mult: 14.0ms (35.9% of total)
ival-log: 7.0ms (17.9% of total)
ival-div: 4.0ms (10.2% of total)
ival-cos: 4.0ms (10.2% of total)
ival-sqrt: 3.0ms (7.7% of total)
ival-pi: 2.0ms (5.1% of total)
ival-add: 2.0ms (5.1% of total)
exact: 1.0ms (2.6% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

eval0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated
Compiler

Compiled 2 to 2 computations (0% saved)

prune1.0ms (0%)

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

Compiled 21 to 18 computations (14.3% saved)

simplify5.0ms (0%)

Memory
8.6MiB live, 8.6MiB 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

localize55.0ms (0.4%)

Memory
0.7MiB live, 82.1MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(+.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/2 binary64))) (cos.f64 (*.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) u2))) #s(literal 1/2 binary64))
✓accuracy99.8%
(pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/2 binary64))
✓accuracy99.6%
(*.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) u2)
✓accuracy99.3%
(*.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
35.0ms256×0valid
Compiler

Compiled 85 to 20 computations (76.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 20.0ms
ival-mult: 7.0ms (34.3% of total)
ival-log: 5.0ms (24.5% of total)
ival-div: 2.0ms (9.8% of total)
ival-cos: 2.0ms (9.8% of total)
ival-sqrt: 2.0ms (9.8% of total)
ival-pi: 1.0ms (4.9% of total)
ival-add: 1.0ms (4.9% of total)
exact: 1.0ms (4.9% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series80.0ms (0.6%)

Memory
1.2MiB live, 115.4MiB allocated
Counts
6 → 84
Calls
Call 1
Inputs
#<alt (pow (* -2 (log u1)) 1/2)>
#<alt (/ 1 6)>
#<alt (+ (* (* (/ 1 6) (pow (* -2 (log u1)) 1/2)) (cos (* (* 2 (PI)) u2))) 1/2)>
#<alt (* (* (/ 1 6) (pow (* -2 (log u1)) 1/2)) (cos (* (* 2 (PI)) u2)))>
#<alt (* (/ 1 6) (pow (* -2 (log u1)) 1/2))>
#<alt (* (* 2 (PI)) u2)>
Outputs
#<alt (* (sqrt (log u1)) (sqrt -2))>
#<alt (* (sqrt (log u1)) (sqrt -2))>
#<alt (* (sqrt (log u1)) (sqrt -2))>
#<alt (* (sqrt (log u1)) (sqrt -2))>
#<alt (* (sqrt (log (/ 1 u1))) (sqrt 2))>
#<alt (* (sqrt (log (/ 1 u1))) (sqrt 2))>
#<alt (* (sqrt (log (/ 1 u1))) (sqrt 2))>
#<alt (* (sqrt (log (/ 1 u1))) (sqrt 2))>
#<alt (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))>
#<alt (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))>
#<alt (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))>
#<alt (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))>
#<alt (+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))))>
#<alt (+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))))>
#<alt (+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))))>
#<alt (+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))))>
#<alt (+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -2) (sqrt -1))) (sqrt (log (/ 1 u1))))))>
#<alt (+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -2) (sqrt -1))) (sqrt (log (/ 1 u1))))))>
#<alt (+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -2) (sqrt -1))) (sqrt (log (/ 1 u1))))))>
#<alt (+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -2) (sqrt -1))) (sqrt (log (/ 1 u1))))))>
#<alt (+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))))>
#<alt (+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))))>
#<alt (+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))))>
#<alt (+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))))>
#<alt (+ 1/2 (* 1/6 (* (sqrt (log u1)) (sqrt -2))))>
#<alt (+ 1/2 (+ (* -1/3 (* (* (pow u2 2) (* (pow (PI) 2) (sqrt -2))) (sqrt (log u1)))) (* 1/6 (* (sqrt (log u1)) (sqrt -2)))))>
#<alt (+ 1/2 (+ (* 1/6 (* (sqrt (log u1)) (sqrt -2))) (* (pow u2 2) (+ (* -1/3 (* (* (pow (PI) 2) (sqrt -2)) (sqrt (log u1)))) (* 1/9 (* (* (pow u2 2) (* (pow (PI) 4) (sqrt -2))) (sqrt (log u1))))))))>
#<alt (+ 1/2 (+ (* 1/6 (* (sqrt (log u1)) (sqrt -2))) (* (pow u2 2) (+ (* -1/3 (* (* (pow (PI) 2) (sqrt -2)) (sqrt (log u1)))) (* (pow u2 2) (+ (* -2/135 (* (* (pow u2 2) (* (pow (PI) 6) (sqrt -2))) (sqrt (log u1)))) (* 1/9 (* (* (pow (PI) 4) (sqrt -2)) (sqrt (log u1))))))))))>
#<alt (+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))))>
#<alt (+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))))>
#<alt (+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))))>
#<alt (+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))))>
#<alt (+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))))>
#<alt (+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))))>
#<alt (+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))))>
#<alt (+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))))>
#<alt (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1))))>
#<alt (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1))))>
#<alt (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1))))>
#<alt (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1))))>
#<alt (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -2) (sqrt -1))) (sqrt (log (/ 1 u1)))))>
#<alt (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -2) (sqrt -1))) (sqrt (log (/ 1 u1)))))>
#<alt (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -2) (sqrt -1))) (sqrt (log (/ 1 u1)))))>
#<alt (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -2) (sqrt -1))) (sqrt (log (/ 1 u1)))))>
#<alt (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))))>
#<alt (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))))>
#<alt (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))))>
#<alt (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))))>
#<alt (* 1/6 (* (sqrt (log u1)) (sqrt -2)))>
#<alt (+ (* -1/3 (* (* (pow u2 2) (* (pow (PI) 2) (sqrt -2))) (sqrt (log u1)))) (* 1/6 (* (sqrt (log u1)) (sqrt -2))))>
#<alt (+ (* 1/6 (* (sqrt (log u1)) (sqrt -2))) (* (pow u2 2) (+ (* -1/3 (* (* (pow (PI) 2) (sqrt -2)) (sqrt (log u1)))) (* 1/9 (* (* (pow u2 2) (* (pow (PI) 4) (sqrt -2))) (sqrt (log u1)))))))>
#<alt (+ (* 1/6 (* (sqrt (log u1)) (sqrt -2))) (* (pow u2 2) (+ (* -1/3 (* (* (pow (PI) 2) (sqrt -2)) (sqrt (log u1)))) (* (pow u2 2) (+ (* -2/135 (* (* (pow u2 2) (* (pow (PI) 6) (sqrt -2))) (sqrt (log u1)))) (* 1/9 (* (* (pow (PI) 4) (sqrt -2)) (sqrt (log u1)))))))))>
#<alt (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1))))>
#<alt (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1))))>
#<alt (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1))))>
#<alt (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1))))>
#<alt (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1))))>
#<alt (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1))))>
#<alt (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1))))>
#<alt (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1))))>
#<alt (* 1/6 (* (sqrt (log u1)) (sqrt -2)))>
#<alt (* 1/6 (* (sqrt (log u1)) (sqrt -2)))>
#<alt (* 1/6 (* (sqrt (log u1)) (sqrt -2)))>
#<alt (* 1/6 (* (sqrt (log u1)) (sqrt -2)))>
#<alt (* 1/6 (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1))))>
#<alt (* 1/6 (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1))))>
#<alt (* 1/6 (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1))))>
#<alt (* 1/6 (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1))))>
#<alt (* 1/6 (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))))>
#<alt (* 1/6 (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))))>
#<alt (* 1/6 (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))))>
#<alt (* 1/6 (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))))>
#<alt (* 2 (* u2 (PI)))>
#<alt (* 2 (* u2 (PI)))>
#<alt (* 2 (* u2 (PI)))>
#<alt (* 2 (* u2 (PI)))>
#<alt (* 2 (* u2 (PI)))>
#<alt (* 2 (* u2 (PI)))>
#<alt (* 2 (* u2 (PI)))>
#<alt (* 2 (* u2 (PI)))>
#<alt (* 2 (* u2 (PI)))>
#<alt (* 2 (* u2 (PI)))>
#<alt (* 2 (* u2 (PI)))>
#<alt (* 2 (* u2 (PI)))>
Calls

21 calls:

TimeVariablePointExpression
26.0ms
u1
@0
(pow (* -2 (log u1)) 1/2)
20.0ms
u1
@-inf
(pow (* -2 (log u1)) 1/2)
18.0ms
u2
@inf
(+ (* (* (/ 1 6) (pow (* -2 (log u1)) 1/2)) (cos (* (* 2 (PI)) u2))) 1/2)
6.0ms
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)

rewrite197.0ms (1.5%)

Memory
9.1MiB live, 208.3MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
2 664×accelerator-lowering-fma.f32
2 664×accelerator-lowering-fma.f64
2 636×*-lowering-*.f32
2 636×*-lowering-*.f64
550×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01948
17048
236148
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 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))) (sqrt.f64 #s(literal -2 binary64))) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (log.f64 u1))))
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(*.f64 (sqrt.f64 (log.f64 u1)) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -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)))
(*.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/4 binary64))) (pow.f64 (log.f64 u1) #s(literal 1/4 binary64))) (pow.f64 #s(literal -2 binary64) #s(literal 1/4 binary64)))
(*.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/4 binary64))) (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/8 binary64))) (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/8 binary64)))
(*.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))
(*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))
(*.f64 (PI.f64) (*.f64 #s(literal 2 binary64) u2))
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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))
(*.f64 (cbrt.f64 (PI.f64)) (*.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (*.f64 #s(literal 2 binary64) u2)))
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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))
(*.f64 (*.f64 u2 (sqrt.f64 (PI.f64))) (*.f64 #s(literal 2 binary64) (sqrt.f64 (PI.f64))))
(*.f64 (*.f64 u2 #s(literal 1 binary64)) (*.f64 #s(literal 2 binary64) (PI.f64)))
(*.f64 (*.f64 u2 (pow.f64 (PI.f64) #s(literal 2/3 binary64))) (*.f64 #s(literal 2 binary64) (cbrt.f64 (PI.f64))))
(*.f64 (*.f64 u2 (*.f64 #s(literal 2 binary64) (pow.f64 (PI.f64) #s(literal 2/3 binary64)))) (cbrt.f64 (PI.f64)))
(*.f64 (*.f64 u2 (*.f64 #s(literal 2 binary64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (PI.f64)))
(*.f64 (*.f64 (*.f64 #s(literal 2 binary64) u2) #s(literal 1 binary64)) (PI.f64))
(*.f64 (*.f64 (*.f64 #s(literal 2 binary64) u2) (cbrt.f64 (PI.f64))) (pow.f64 (PI.f64) #s(literal 2/3 binary64)))
(*.f64 (*.f64 (*.f64 #s(literal 2 binary64) u2) (pow.f64 (PI.f64) #s(literal 2/3 binary64))) (cbrt.f64 (PI.f64)))
(*.f64 (*.f64 (*.f64 #s(literal 2 binary64) u2) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)))

simplify1.7s (12.5%)

Memory
-31.7MiB live, 1 337.5MiB allocated
Algorithm
1×egg-herbie
Rules
43 450×accelerator-lowering-fma.f32
43 450×accelerator-lowering-fma.f64
7 804×+-lowering-+.f64
7 804×+-lowering-+.f32
5 834×*-lowering-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0831292
12051260
26231232
322011204
428111198
539221198
653521198
754801198
855421198
955591198
1055651198
1155651198
1279931198
1379931198
1479931198
080131162
Stop Event
1×iter limit
1×node limit
Counts
84 → 84
Calls
Call 1
Inputs
(* (sqrt (log u1)) (sqrt -2))
(* (sqrt (log u1)) (sqrt -2))
(* (sqrt (log u1)) (sqrt -2))
(* (sqrt (log u1)) (sqrt -2))
(* (sqrt (log (/ 1 u1))) (sqrt 2))
(* (sqrt (log (/ 1 u1))) (sqrt 2))
(* (sqrt (log (/ 1 u1))) (sqrt 2))
(* (sqrt (log (/ 1 u1))) (sqrt 2))
(* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))
(* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))
(* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))
(* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))))
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))))
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))))
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))))
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -2) (sqrt -1))) (sqrt (log (/ 1 u1))))))
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -2) (sqrt -1))) (sqrt (log (/ 1 u1))))))
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -2) (sqrt -1))) (sqrt (log (/ 1 u1))))))
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -2) (sqrt -1))) (sqrt (log (/ 1 u1))))))
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))))
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))))
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))))
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))))
(+ 1/2 (* 1/6 (* (sqrt (log u1)) (sqrt -2))))
(+ 1/2 (+ (* -1/3 (* (* (pow u2 2) (* (pow (PI) 2) (sqrt -2))) (sqrt (log u1)))) (* 1/6 (* (sqrt (log u1)) (sqrt -2)))))
(+ 1/2 (+ (* 1/6 (* (sqrt (log u1)) (sqrt -2))) (* (pow u2 2) (+ (* -1/3 (* (* (pow (PI) 2) (sqrt -2)) (sqrt (log u1)))) (* 1/9 (* (* (pow u2 2) (* (pow (PI) 4) (sqrt -2))) (sqrt (log u1))))))))
(+ 1/2 (+ (* 1/6 (* (sqrt (log u1)) (sqrt -2))) (* (pow u2 2) (+ (* -1/3 (* (* (pow (PI) 2) (sqrt -2)) (sqrt (log u1)))) (* (pow u2 2) (+ (* -2/135 (* (* (pow u2 2) (* (pow (PI) 6) (sqrt -2))) (sqrt (log u1)))) (* 1/9 (* (* (pow (PI) 4) (sqrt -2)) (sqrt (log u1))))))))))
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))))
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))))
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))))
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))))
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))))
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))))
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))))
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))))
(* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1))))
(* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1))))
(* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1))))
(* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1))))
(* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -2) (sqrt -1))) (sqrt (log (/ 1 u1)))))
(* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -2) (sqrt -1))) (sqrt (log (/ 1 u1)))))
(* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -2) (sqrt -1))) (sqrt (log (/ 1 u1)))))
(* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -2) (sqrt -1))) (sqrt (log (/ 1 u1)))))
(* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))))
(* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))))
(* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))))
(* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))))
(* 1/6 (* (sqrt (log u1)) (sqrt -2)))
(+ (* -1/3 (* (* (pow u2 2) (* (pow (PI) 2) (sqrt -2))) (sqrt (log u1)))) (* 1/6 (* (sqrt (log u1)) (sqrt -2))))
(+ (* 1/6 (* (sqrt (log u1)) (sqrt -2))) (* (pow u2 2) (+ (* -1/3 (* (* (pow (PI) 2) (sqrt -2)) (sqrt (log u1)))) (* 1/9 (* (* (pow u2 2) (* (pow (PI) 4) (sqrt -2))) (sqrt (log u1)))))))
(+ (* 1/6 (* (sqrt (log u1)) (sqrt -2))) (* (pow u2 2) (+ (* -1/3 (* (* (pow (PI) 2) (sqrt -2)) (sqrt (log u1)))) (* (pow u2 2) (+ (* -2/135 (* (* (pow u2 2) (* (pow (PI) 6) (sqrt -2))) (sqrt (log u1)))) (* 1/9 (* (* (pow (PI) 4) (sqrt -2)) (sqrt (log u1)))))))))
(* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1))))
(* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1))))
(* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1))))
(* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1))))
(* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1))))
(* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1))))
(* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1))))
(* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1))))
(* 1/6 (* (sqrt (log u1)) (sqrt -2)))
(* 1/6 (* (sqrt (log u1)) (sqrt -2)))
(* 1/6 (* (sqrt (log u1)) (sqrt -2)))
(* 1/6 (* (sqrt (log u1)) (sqrt -2)))
(* 1/6 (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1))))
(* 1/6 (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1))))
(* 1/6 (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1))))
(* 1/6 (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1))))
(* 1/6 (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))))
(* 1/6 (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))))
(* 1/6 (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))))
(* 1/6 (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))))
(* 2 (* u2 (PI)))
(* 2 (* u2 (PI)))
(* 2 (* u2 (PI)))
(* 2 (* u2 (PI)))
(* 2 (* u2 (PI)))
(* 2 (* u2 (PI)))
(* 2 (* u2 (PI)))
(* 2 (* u2 (PI)))
(* 2 (* u2 (PI)))
(* 2 (* u2 (PI)))
(* 2 (* u2 (PI)))
(* 2 (* u2 (PI)))
Outputs
(* (sqrt (log u1)) (sqrt -2))
(*.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 #s(literal -2 binary64)))
(* (sqrt (log u1)) (sqrt -2))
(*.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 #s(literal -2 binary64)))
(* (sqrt (log u1)) (sqrt -2))
(*.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 #s(literal -2 binary64)))
(* (sqrt (log u1)) (sqrt -2))
(*.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 #s(literal -2 binary64)))
(* (sqrt (log (/ 1 u1))) (sqrt 2))
(*.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (log.f64 u1))) (sqrt.f64 #s(literal 2 binary64)))
(* (sqrt (log (/ 1 u1))) (sqrt 2))
(*.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (log.f64 u1))) (sqrt.f64 #s(literal 2 binary64)))
(* (sqrt (log (/ 1 u1))) (sqrt 2))
(*.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (log.f64 u1))) (sqrt.f64 #s(literal 2 binary64)))
(* (sqrt (log (/ 1 u1))) (sqrt 2))
(*.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (log.f64 u1))) (sqrt.f64 #s(literal 2 binary64)))
(* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))
(*.f64 (sqrt.f64 #s(literal -2 binary64)) (sqrt.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) u1)))))
(* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))
(*.f64 (sqrt.f64 #s(literal -2 binary64)) (sqrt.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) u1)))))
(* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))
(*.f64 (sqrt.f64 #s(literal -2 binary64)) (sqrt.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) u1)))))
(* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))
(*.f64 (sqrt.f64 #s(literal -2 binary64)) (sqrt.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) u1)))))
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))))
(fma.f64 (sqrt.f64 (log.f64 u1)) (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 u2 (PI.f64)))) (*.f64 (sqrt.f64 #s(literal -2 binary64)) #s(literal 1/6 binary64))) #s(literal 1/2 binary64))
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))))
(fma.f64 (sqrt.f64 (log.f64 u1)) (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 u2 (PI.f64)))) (*.f64 (sqrt.f64 #s(literal -2 binary64)) #s(literal 1/6 binary64))) #s(literal 1/2 binary64))
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))))
(fma.f64 (sqrt.f64 (log.f64 u1)) (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 u2 (PI.f64)))) (*.f64 (sqrt.f64 #s(literal -2 binary64)) #s(literal 1/6 binary64))) #s(literal 1/2 binary64))
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))))
(fma.f64 (sqrt.f64 (log.f64 u1)) (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 u2 (PI.f64)))) (*.f64 (sqrt.f64 #s(literal -2 binary64)) #s(literal 1/6 binary64))) #s(literal 1/2 binary64))
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -2) (sqrt -1))) (sqrt (log (/ 1 u1))))))
(fma.f64 (*.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (log.f64 u1))) (*.f64 (sqrt.f64 #s(literal -2 binary64)) #s(literal 1/6 binary64))) (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 u2 (PI.f64)))) (sqrt.f64 #s(literal -1 binary64))) #s(literal 1/2 binary64))
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -2) (sqrt -1))) (sqrt (log (/ 1 u1))))))
(fma.f64 (*.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (log.f64 u1))) (*.f64 (sqrt.f64 #s(literal -2 binary64)) #s(literal 1/6 binary64))) (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 u2 (PI.f64)))) (sqrt.f64 #s(literal -1 binary64))) #s(literal 1/2 binary64))
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -2) (sqrt -1))) (sqrt (log (/ 1 u1))))))
(fma.f64 (*.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (log.f64 u1))) (*.f64 (sqrt.f64 #s(literal -2 binary64)) #s(literal 1/6 binary64))) (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 u2 (PI.f64)))) (sqrt.f64 #s(literal -1 binary64))) #s(literal 1/2 binary64))
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -2) (sqrt -1))) (sqrt (log (/ 1 u1))))))
(fma.f64 (*.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (log.f64 u1))) (*.f64 (sqrt.f64 #s(literal -2 binary64)) #s(literal 1/6 binary64))) (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 u2 (PI.f64)))) (sqrt.f64 #s(literal -1 binary64))) #s(literal 1/2 binary64))
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))))
(fma.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 u2 (PI.f64)))) (*.f64 (sqrt.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) u1)))) (*.f64 (sqrt.f64 #s(literal -2 binary64)) #s(literal 1/6 binary64))) #s(literal 1/2 binary64))
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))))
(fma.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 u2 (PI.f64)))) (*.f64 (sqrt.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) u1)))) (*.f64 (sqrt.f64 #s(literal -2 binary64)) #s(literal 1/6 binary64))) #s(literal 1/2 binary64))
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))))
(fma.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 u2 (PI.f64)))) (*.f64 (sqrt.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) u1)))) (*.f64 (sqrt.f64 #s(literal -2 binary64)) #s(literal 1/6 binary64))) #s(literal 1/2 binary64))
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))))
(fma.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 u2 (PI.f64)))) (*.f64 (sqrt.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) u1)))) (*.f64 (sqrt.f64 #s(literal -2 binary64)) #s(literal 1/6 binary64))) #s(literal 1/2 binary64))
(+ 1/2 (* 1/6 (* (sqrt (log u1)) (sqrt -2))))
(fma.f64 (sqrt.f64 (log.f64 u1)) (*.f64 (sqrt.f64 #s(literal -2 binary64)) #s(literal 1/6 binary64)) #s(literal 1/2 binary64))
(+ 1/2 (+ (* -1/3 (* (* (pow u2 2) (* (pow (PI) 2) (sqrt -2))) (sqrt (log u1)))) (* 1/6 (* (sqrt (log u1)) (sqrt -2)))))
(fma.f64 (sqrt.f64 (log.f64 u1)) (*.f64 (sqrt.f64 #s(literal -2 binary64)) (fma.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 u2 u2)) (*.f64 (PI.f64) (PI.f64)) #s(literal 1/6 binary64))) #s(literal 1/2 binary64))
(+ 1/2 (+ (* 1/6 (* (sqrt (log u1)) (sqrt -2))) (* (pow u2 2) (+ (* -1/3 (* (* (pow (PI) 2) (sqrt -2)) (sqrt (log u1)))) (* 1/9 (* (* (pow u2 2) (* (pow (PI) 4) (sqrt -2))) (sqrt (log u1))))))))
(fma.f64 (sqrt.f64 (log.f64 u1)) (*.f64 (sqrt.f64 #s(literal -2 binary64)) (fma.f64 (*.f64 u2 u2) (fma.f64 #s(literal -1/3 binary64) (*.f64 (PI.f64) (PI.f64)) (*.f64 (*.f64 #s(literal 1/9 binary64) (pow.f64 (PI.f64) #s(literal 4 binary64))) (*.f64 u2 u2))) #s(literal 1/6 binary64))) #s(literal 1/2 binary64))
(+ 1/2 (+ (* 1/6 (* (sqrt (log u1)) (sqrt -2))) (* (pow u2 2) (+ (* -1/3 (* (* (pow (PI) 2) (sqrt -2)) (sqrt (log u1)))) (* (pow u2 2) (+ (* -2/135 (* (* (pow u2 2) (* (pow (PI) 6) (sqrt -2))) (sqrt (log u1)))) (* 1/9 (* (* (pow (PI) 4) (sqrt -2)) (sqrt (log u1))))))))))
(fma.f64 (sqrt.f64 (log.f64 u1)) (fma.f64 (*.f64 u2 u2) (*.f64 (sqrt.f64 #s(literal -2 binary64)) (fma.f64 (*.f64 u2 u2) (fma.f64 #s(literal -2/135 binary64) (*.f64 (*.f64 u2 u2) (pow.f64 (PI.f64) #s(literal 6 binary64))) (*.f64 #s(literal 1/9 binary64) (pow.f64 (PI.f64) #s(literal 4 binary64)))) (*.f64 #s(literal -1/3 binary64) (*.f64 (PI.f64) (PI.f64))))) (*.f64 (sqrt.f64 #s(literal -2 binary64)) #s(literal 1/6 binary64))) #s(literal 1/2 binary64))
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))))
(fma.f64 (sqrt.f64 (log.f64 u1)) (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 u2 (PI.f64)))) (*.f64 (sqrt.f64 #s(literal -2 binary64)) #s(literal 1/6 binary64))) #s(literal 1/2 binary64))
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))))
(fma.f64 (sqrt.f64 (log.f64 u1)) (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 u2 (PI.f64)))) (*.f64 (sqrt.f64 #s(literal -2 binary64)) #s(literal 1/6 binary64))) #s(literal 1/2 binary64))
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))))
(fma.f64 (sqrt.f64 (log.f64 u1)) (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 u2 (PI.f64)))) (*.f64 (sqrt.f64 #s(literal -2 binary64)) #s(literal 1/6 binary64))) #s(literal 1/2 binary64))
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))))
(fma.f64 (sqrt.f64 (log.f64 u1)) (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 u2 (PI.f64)))) (*.f64 (sqrt.f64 #s(literal -2 binary64)) #s(literal 1/6 binary64))) #s(literal 1/2 binary64))
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))))
(fma.f64 (sqrt.f64 (log.f64 u1)) (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 u2 (PI.f64)))) (*.f64 (sqrt.f64 #s(literal -2 binary64)) #s(literal 1/6 binary64))) #s(literal 1/2 binary64))
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))))
(fma.f64 (sqrt.f64 (log.f64 u1)) (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 u2 (PI.f64)))) (*.f64 (sqrt.f64 #s(literal -2 binary64)) #s(literal 1/6 binary64))) #s(literal 1/2 binary64))
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))))
(fma.f64 (sqrt.f64 (log.f64 u1)) (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 u2 (PI.f64)))) (*.f64 (sqrt.f64 #s(literal -2 binary64)) #s(literal 1/6 binary64))) #s(literal 1/2 binary64))
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))))
(fma.f64 (sqrt.f64 (log.f64 u1)) (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 u2 (PI.f64)))) (*.f64 (sqrt.f64 #s(literal -2 binary64)) #s(literal 1/6 binary64))) #s(literal 1/2 binary64))
(* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1))))
(*.f64 (sqrt.f64 (log.f64 u1)) (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 u2 (PI.f64)))) (*.f64 (sqrt.f64 #s(literal -2 binary64)) #s(literal 1/6 binary64))))
(* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1))))
(*.f64 (sqrt.f64 (log.f64 u1)) (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 u2 (PI.f64)))) (*.f64 (sqrt.f64 #s(literal -2 binary64)) #s(literal 1/6 binary64))))
(* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1))))
(*.f64 (sqrt.f64 (log.f64 u1)) (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 u2 (PI.f64)))) (*.f64 (sqrt.f64 #s(literal -2 binary64)) #s(literal 1/6 binary64))))
(* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1))))
(*.f64 (sqrt.f64 (log.f64 u1)) (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 u2 (PI.f64)))) (*.f64 (sqrt.f64 #s(literal -2 binary64)) #s(literal 1/6 binary64))))
(* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -2) (sqrt -1))) (sqrt (log (/ 1 u1)))))
(*.f64 (*.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (log.f64 u1))) (*.f64 (sqrt.f64 #s(literal -2 binary64)) #s(literal 1/6 binary64))) (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 u2 (PI.f64)))) (sqrt.f64 #s(literal -1 binary64))))
(* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -2) (sqrt -1))) (sqrt (log (/ 1 u1)))))
(*.f64 (*.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (log.f64 u1))) (*.f64 (sqrt.f64 #s(literal -2 binary64)) #s(literal 1/6 binary64))) (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 u2 (PI.f64)))) (sqrt.f64 #s(literal -1 binary64))))
(* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -2) (sqrt -1))) (sqrt (log (/ 1 u1)))))
(*.f64 (*.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (log.f64 u1))) (*.f64 (sqrt.f64 #s(literal -2 binary64)) #s(literal 1/6 binary64))) (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 u2 (PI.f64)))) (sqrt.f64 #s(literal -1 binary64))))
(* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -2) (sqrt -1))) (sqrt (log (/ 1 u1)))))
(*.f64 (*.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (log.f64 u1))) (*.f64 (sqrt.f64 #s(literal -2 binary64)) #s(literal 1/6 binary64))) (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 u2 (PI.f64)))) (sqrt.f64 #s(literal -1 binary64))))
(* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))))
(*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 u2 (PI.f64)))) (*.f64 (sqrt.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) u1)))) (*.f64 (sqrt.f64 #s(literal -2 binary64)) #s(literal 1/6 binary64))))
(* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))))
(*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 u2 (PI.f64)))) (*.f64 (sqrt.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) u1)))) (*.f64 (sqrt.f64 #s(literal -2 binary64)) #s(literal 1/6 binary64))))
(* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))))
(*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 u2 (PI.f64)))) (*.f64 (sqrt.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) u1)))) (*.f64 (sqrt.f64 #s(literal -2 binary64)) #s(literal 1/6 binary64))))
(* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))))
(*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 u2 (PI.f64)))) (*.f64 (sqrt.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) u1)))) (*.f64 (sqrt.f64 #s(literal -2 binary64)) #s(literal 1/6 binary64))))
(* 1/6 (* (sqrt (log u1)) (sqrt -2)))
(*.f64 (sqrt.f64 (log.f64 u1)) (*.f64 (sqrt.f64 #s(literal -2 binary64)) #s(literal 1/6 binary64)))
(+ (* -1/3 (* (* (pow u2 2) (* (pow (PI) 2) (sqrt -2))) (sqrt (log u1)))) (* 1/6 (* (sqrt (log u1)) (sqrt -2))))
(*.f64 (sqrt.f64 (log.f64 u1)) (*.f64 (sqrt.f64 #s(literal -2 binary64)) (fma.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 u2 u2)) (*.f64 (PI.f64) (PI.f64)) #s(literal 1/6 binary64))))
(+ (* 1/6 (* (sqrt (log u1)) (sqrt -2))) (* (pow u2 2) (+ (* -1/3 (* (* (pow (PI) 2) (sqrt -2)) (sqrt (log u1)))) (* 1/9 (* (* (pow u2 2) (* (pow (PI) 4) (sqrt -2))) (sqrt (log u1)))))))
(*.f64 (sqrt.f64 (log.f64 u1)) (*.f64 (sqrt.f64 #s(literal -2 binary64)) (fma.f64 (*.f64 u2 u2) (fma.f64 #s(literal -1/3 binary64) (*.f64 (PI.f64) (PI.f64)) (*.f64 (*.f64 #s(literal 1/9 binary64) (pow.f64 (PI.f64) #s(literal 4 binary64))) (*.f64 u2 u2))) #s(literal 1/6 binary64))))
(+ (* 1/6 (* (sqrt (log u1)) (sqrt -2))) (* (pow u2 2) (+ (* -1/3 (* (* (pow (PI) 2) (sqrt -2)) (sqrt (log u1)))) (* (pow u2 2) (+ (* -2/135 (* (* (pow u2 2) (* (pow (PI) 6) (sqrt -2))) (sqrt (log u1)))) (* 1/9 (* (* (pow (PI) 4) (sqrt -2)) (sqrt (log u1)))))))))
(*.f64 (sqrt.f64 (log.f64 u1)) (fma.f64 (*.f64 u2 u2) (*.f64 (sqrt.f64 #s(literal -2 binary64)) (fma.f64 (*.f64 u2 u2) (fma.f64 #s(literal -2/135 binary64) (*.f64 (*.f64 u2 u2) (pow.f64 (PI.f64) #s(literal 6 binary64))) (*.f64 #s(literal 1/9 binary64) (pow.f64 (PI.f64) #s(literal 4 binary64)))) (*.f64 #s(literal -1/3 binary64) (*.f64 (PI.f64) (PI.f64))))) (*.f64 (sqrt.f64 #s(literal -2 binary64)) #s(literal 1/6 binary64))))
(* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1))))
(*.f64 (sqrt.f64 (log.f64 u1)) (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 u2 (PI.f64)))) (*.f64 (sqrt.f64 #s(literal -2 binary64)) #s(literal 1/6 binary64))))
(* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1))))
(*.f64 (sqrt.f64 (log.f64 u1)) (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 u2 (PI.f64)))) (*.f64 (sqrt.f64 #s(literal -2 binary64)) #s(literal 1/6 binary64))))
(* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1))))
(*.f64 (sqrt.f64 (log.f64 u1)) (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 u2 (PI.f64)))) (*.f64 (sqrt.f64 #s(literal -2 binary64)) #s(literal 1/6 binary64))))
(* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1))))
(*.f64 (sqrt.f64 (log.f64 u1)) (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 u2 (PI.f64)))) (*.f64 (sqrt.f64 #s(literal -2 binary64)) #s(literal 1/6 binary64))))
(* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1))))
(*.f64 (sqrt.f64 (log.f64 u1)) (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 u2 (PI.f64)))) (*.f64 (sqrt.f64 #s(literal -2 binary64)) #s(literal 1/6 binary64))))
(* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1))))
(*.f64 (sqrt.f64 (log.f64 u1)) (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 u2 (PI.f64)))) (*.f64 (sqrt.f64 #s(literal -2 binary64)) #s(literal 1/6 binary64))))
(* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1))))
(*.f64 (sqrt.f64 (log.f64 u1)) (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 u2 (PI.f64)))) (*.f64 (sqrt.f64 #s(literal -2 binary64)) #s(literal 1/6 binary64))))
(* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1))))
(*.f64 (sqrt.f64 (log.f64 u1)) (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 u2 (PI.f64)))) (*.f64 (sqrt.f64 #s(literal -2 binary64)) #s(literal 1/6 binary64))))
(* 1/6 (* (sqrt (log u1)) (sqrt -2)))
(*.f64 (sqrt.f64 (log.f64 u1)) (*.f64 (sqrt.f64 #s(literal -2 binary64)) #s(literal 1/6 binary64)))
(* 1/6 (* (sqrt (log u1)) (sqrt -2)))
(*.f64 (sqrt.f64 (log.f64 u1)) (*.f64 (sqrt.f64 #s(literal -2 binary64)) #s(literal 1/6 binary64)))
(* 1/6 (* (sqrt (log u1)) (sqrt -2)))
(*.f64 (sqrt.f64 (log.f64 u1)) (*.f64 (sqrt.f64 #s(literal -2 binary64)) #s(literal 1/6 binary64)))
(* 1/6 (* (sqrt (log u1)) (sqrt -2)))
(*.f64 (sqrt.f64 (log.f64 u1)) (*.f64 (sqrt.f64 #s(literal -2 binary64)) #s(literal 1/6 binary64)))
(* 1/6 (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1))))
(*.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (log.f64 u1))) (*.f64 (sqrt.f64 #s(literal -2 binary64)) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -1 binary64)))))
(* 1/6 (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1))))
(*.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (log.f64 u1))) (*.f64 (sqrt.f64 #s(literal -2 binary64)) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -1 binary64)))))
(* 1/6 (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1))))
(*.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (log.f64 u1))) (*.f64 (sqrt.f64 #s(literal -2 binary64)) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -1 binary64)))))
(* 1/6 (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1))))
(*.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (log.f64 u1))) (*.f64 (sqrt.f64 #s(literal -2 binary64)) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -1 binary64)))))
(* 1/6 (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))))
(*.f64 (sqrt.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) u1)))) (*.f64 (sqrt.f64 #s(literal -2 binary64)) #s(literal 1/6 binary64)))
(* 1/6 (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))))
(*.f64 (sqrt.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) u1)))) (*.f64 (sqrt.f64 #s(literal -2 binary64)) #s(literal 1/6 binary64)))
(* 1/6 (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))))
(*.f64 (sqrt.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) u1)))) (*.f64 (sqrt.f64 #s(literal -2 binary64)) #s(literal 1/6 binary64)))
(* 1/6 (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))))
(*.f64 (sqrt.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) u1)))) (*.f64 (sqrt.f64 #s(literal -2 binary64)) #s(literal 1/6 binary64)))
(* 2 (* u2 (PI)))
(*.f64 #s(literal 2 binary64) (*.f64 u2 (PI.f64)))
(* 2 (* u2 (PI)))
(*.f64 #s(literal 2 binary64) (*.f64 u2 (PI.f64)))
(* 2 (* u2 (PI)))
(*.f64 #s(literal 2 binary64) (*.f64 u2 (PI.f64)))
(* 2 (* u2 (PI)))
(*.f64 #s(literal 2 binary64) (*.f64 u2 (PI.f64)))
(* 2 (* u2 (PI)))
(*.f64 #s(literal 2 binary64) (*.f64 u2 (PI.f64)))
(* 2 (* u2 (PI)))
(*.f64 #s(literal 2 binary64) (*.f64 u2 (PI.f64)))
(* 2 (* u2 (PI)))
(*.f64 #s(literal 2 binary64) (*.f64 u2 (PI.f64)))
(* 2 (* u2 (PI)))
(*.f64 #s(literal 2 binary64) (*.f64 u2 (PI.f64)))
(* 2 (* u2 (PI)))
(*.f64 #s(literal 2 binary64) (*.f64 u2 (PI.f64)))
(* 2 (* u2 (PI)))
(*.f64 #s(literal 2 binary64) (*.f64 u2 (PI.f64)))
(* 2 (* u2 (PI)))
(*.f64 #s(literal 2 binary64) (*.f64 u2 (PI.f64)))
(* 2 (* u2 (PI)))
(*.f64 #s(literal 2 binary64) (*.f64 u2 (PI.f64)))

eval27.0ms (0.2%)

Memory
23.8MiB live, 63.0MiB allocated
Compiler

Compiled 7 631 to 698 computations (90.9% saved)

prune42.0ms (0.3%)

Memory
-18.1MiB live, 99.5MiB allocated
Pruning

17 alts after pruning (17 fresh and 0 done)

PrunedKeptTotal
New24317260
Fresh000
Picked101
Done000
Total24417261
Accuracy
100.0%
Counts
261 → 17
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.1%
(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))
99.4%
(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))
99.0%
(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)))))
▶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)))
99.0%
(/.f64 (fma.f64 #s(literal 1/216 binary64) (pow.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (fma.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))))) (fma.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))) #s(literal -1/2 binary64)) #s(literal 1/4 binary64)))
99.1%
(/.f64 (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal -1/36 binary64) (pow.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))) #s(literal 2 binary64)))) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))) #s(literal -1/6 binary64))))
99.0%
(/.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))))))
99.2%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))) #s(literal 1/2 binary64))))
▶99.0%
(+.f64 (*.f64 (*.f64 (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/8 binary64)) (*.f64 (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/8 binary64)) (*.f64 #s(literal 1/6 binary64) (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/4 binary64))))) (cos.f64 (*.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) u2))) #s(literal 1/2 binary64))
▶99.3%
(+.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) (pow.f64 (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 2 binary64)) #s(literal 1/4 binary64))) (cos.f64 (*.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) u2))) #s(literal 1/2 binary64))
99.1%
(+.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) (pow.f64 (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/4 binary64)) #s(literal 2 binary64))) (cos.f64 (*.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) u2))) #s(literal 1/2 binary64))
98.8%
(+.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (log.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))))) (cos.f64 (*.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) u2))) #s(literal 1/2 binary64))
99.0%
(+.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) (*.f64 (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/8 binary64)) (*.f64 (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/8 binary64)) (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/4 binary64))))) (cos.f64 (*.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) u2))) #s(literal 1/2 binary64))
▶99.5%
(+.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))
98.9%
(+.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) (exp.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)))))) (cos.f64 (*.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) u2))) #s(literal 1/2 binary64))
99.0%
(*.f64 (fma.f64 #s(literal 1/36 binary64) (pow.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))) #s(literal 2 binary64)) #s(literal -1/4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))) #s(literal -1/2 binary64))))
Compiler

Compiled 1 020 to 684 computations (32.9% saved)

simplify307.0ms (2.3%)

Memory
-0.5MiB live, 359.5MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(*.f64 (*.f64 (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/8 binary64)) (*.f64 (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/8 binary64)) (*.f64 #s(literal 1/6 binary64) (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/4 binary64))))) (cos.f64 (*.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) u2)))
✓cost-diff128
(+.f64 (*.f64 (*.f64 (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/8 binary64)) (*.f64 (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/8 binary64)) (*.f64 #s(literal 1/6 binary64) (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/4 binary64))))) (cos.f64 (*.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) u2))) #s(literal 1/2 binary64))
✓cost-diff7104
(*.f64 (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/8 binary64)) (*.f64 #s(literal 1/6 binary64) (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/4 binary64))))
✓cost-diff25856
(*.f64 (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/8 binary64)) (*.f64 (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/8 binary64)) (*.f64 #s(literal 1/6 binary64) (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/4 binary64)))))
✓cost-diff0
(*.f64 (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
(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 (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-diff0
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) (pow.f64 (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 2 binary64)) #s(literal 1/4 binary64)))
✓cost-diff0
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) (pow.f64 (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 2 binary64)) #s(literal 1/4 binary64))) (cos.f64 (*.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) u2)))
✓cost-diff128
(+.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) (pow.f64 (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 2 binary64)) #s(literal 1/4 binary64))) (cos.f64 (*.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) u2))) #s(literal 1/2 binary64))
✓cost-diff704
(/.f64 #s(literal 1 binary64) #s(literal 6 binary64))
✓cost-diff0
(*.f64 (sqrt.f64 #s(literal -2 binary64)) #s(literal 1/6 binary64))
✓cost-diff0
(log.f64 u1)
✓cost-diff0
(sqrt.f64 (log.f64 u1))
✓cost-diff0
(fma.f64 (sqrt.f64 (log.f64 u1)) (*.f64 (sqrt.f64 #s(literal -2 binary64)) #s(literal 1/6 binary64)) #s(literal 1/2 binary64))
✓cost-diff0
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) (*.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (log.f64 u1))) (sqrt.f64 #s(literal 2 binary64))))
✓cost-diff0
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) (*.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (log.f64 u1))) (sqrt.f64 #s(literal 2 binary64)))) (cos.f64 (*.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) u2)))
✓cost-diff128
(+.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) (*.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (log.f64 u1))) (sqrt.f64 #s(literal 2 binary64)))) (cos.f64 (*.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) u2))) #s(literal 1/2 binary64))
✓cost-diff704
(/.f64 #s(literal 1 binary64) #s(literal 6 binary64))
Rules
10 686×*-lowering-*.f32
10 686×*-lowering-*.f64
6 534×unswap-sqr
5 198×accelerator-lowering-fma.f32
5 198×accelerator-lowering-fma.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
057482
1110461
2217435
3406432
4570432
51094432
61418432
71582432
82087432
93196432
103208432
113215432
123221432
133221432
144805432
156309432
166309432
176309432
186309432
08101424
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(+ (* (* (/ 1 6) (* (sqrt (- 0 (log u1))) (sqrt 2))) (cos (* (* 2 (PI)) u2))) 1/2)
(* (* (/ 1 6) (* (sqrt (- 0 (log u1))) (sqrt 2))) (cos (* (* 2 (PI)) u2)))
(* (/ 1 6) (* (sqrt (- 0 (log u1))) (sqrt 2)))
(/ 1 6)
1
6
(* (sqrt (- 0 (log u1))) (sqrt 2))
(sqrt (- 0 (log u1)))
(- 0 (log u1))
0
(log u1)
u1
(sqrt 2)
2
(cos (* (* 2 (PI)) u2))
(* (* 2 (PI)) u2)
(* 2 (PI))
(PI)
u2
1/2
(+ (* (sqrt (log u1)) (* (sqrt -2) 1/6)) 1/2)
(sqrt (log u1))
(log u1)
u1
(* (sqrt -2) 1/6)
(sqrt -2)
-2
1/6
1/2
(+ (* (* (/ 1 6) (pow (pow (* -2 (log u1)) 2) 1/4)) (cos (* (* 2 (PI)) u2))) 1/2)
(* (* (/ 1 6) (pow (pow (* -2 (log u1)) 2) 1/4)) (cos (* (* 2 (PI)) u2)))
(* (/ 1 6) (pow (pow (* -2 (log u1)) 2) 1/4))
(/ 1 6)
1
6
(pow (pow (* -2 (log u1)) 2) 1/4)
(pow (* -2 (log u1)) 2)
(* -2 (log u1))
-2
(log u1)
u1
2
1/4
(cos (* (* 2 (PI)) u2))
(* (* 2 (PI)) u2)
(* 2 (PI))
(PI)
u2
1/2
(/ (+ (* 1/36 (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
(+ (* (* (pow (* -2 (log u1)) 1/8) (* (pow (* -2 (log u1)) 1/8) (* 1/6 (pow (* -2 (log u1)) 1/4)))) (cos (* (* 2 (PI)) u2))) 1/2)
(* (* (pow (* -2 (log u1)) 1/8) (* (pow (* -2 (log u1)) 1/8) (* 1/6 (pow (* -2 (log u1)) 1/4)))) (cos (* (* 2 (PI)) u2)))
(* (pow (* -2 (log u1)) 1/8) (* (pow (* -2 (log u1)) 1/8) (* 1/6 (pow (* -2 (log u1)) 1/4))))
(pow (* -2 (log u1)) 1/8)
(* -2 (log u1))
-2
(log u1)
u1
1/8
(* (pow (* -2 (log u1)) 1/8) (* 1/6 (pow (* -2 (log u1)) 1/4)))
(* 1/6 (pow (* -2 (log u1)) 1/4))
1/6
(pow (* -2 (log u1)) 1/4)
1/4
(cos (* (* 2 (PI)) u2))
(* (* 2 (PI)) u2)
(* 2 (PI))
2
(PI)
u2
1/2
Outputs
(+ (* (* (/ 1 6) (* (sqrt (- 0 (log u1))) (sqrt 2))) (cos (* (* 2 (PI)) u2))) 1/2)
(fma.f64 (*.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (log.f64 u1))) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal 2 binary64)))) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))) #s(literal 1/2 binary64))
(* (* (/ 1 6) (* (sqrt (- 0 (log u1))) (sqrt 2))) (cos (* (* 2 (PI)) u2)))
(*.f64 (*.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (log.f64 u1))) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal 2 binary64)))) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))))
(* (/ 1 6) (* (sqrt (- 0 (log u1))) (sqrt 2)))
(*.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (log.f64 u1))) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal 2 binary64))))
(/ 1 6)
#s(literal 1/6 binary64)
1
#s(literal 1 binary64)
6
#s(literal 6 binary64)
(* (sqrt (- 0 (log u1))) (sqrt 2))
(*.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (log.f64 u1))) (sqrt.f64 #s(literal 2 binary64)))
(sqrt (- 0 (log u1)))
(sqrt.f64 (-.f64 #s(literal 0 binary64) (log.f64 u1)))
(- 0 (log u1))
(-.f64 #s(literal 0 binary64) (log.f64 u1))
0
#s(literal 0 binary64)
(log u1)
(log.f64 u1)
u1
(sqrt 2)
(sqrt.f64 #s(literal 2 binary64))
2
#s(literal 2 binary64)
(cos (* (* 2 (PI)) u2))
(cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))
(* (* 2 (PI)) u2)
(*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))
(* 2 (PI))
(*.f64 #s(literal 2 binary64) (PI.f64))
(PI)
(PI.f64)
u2
1/2
#s(literal 1/2 binary64)
(+ (* (sqrt (log u1)) (* (sqrt -2) 1/6)) 1/2)
(fma.f64 (sqrt.f64 (log.f64 u1)) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -2 binary64))) #s(literal 1/2 binary64))
(sqrt (log u1))
(sqrt.f64 (log.f64 u1))
(log u1)
(log.f64 u1)
u1
(* (sqrt -2) 1/6)
(*.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -2 binary64)))
(sqrt -2)
(sqrt.f64 #s(literal -2 binary64))
-2
#s(literal -2 binary64)
1/6
#s(literal 1/6 binary64)
1/2
#s(literal 1/2 binary64)
(+ (* (* (/ 1 6) (pow (pow (* -2 (log u1)) 2) 1/4)) (cos (* (* 2 (PI)) u2))) 1/2)
(fma.f64 #s(literal 1/6 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))) (pow.f64 (pow.f64 (fma.f64 (log.f64 u1) #s(literal -2 binary64) #s(literal 0 binary64)) #s(literal 2 binary64)) #s(literal 1/4 binary64))) #s(literal 1/2 binary64))
(* (* (/ 1 6) (pow (pow (* -2 (log u1)) 2) 1/4)) (cos (* (* 2 (PI)) u2)))
(*.f64 #s(literal 1/6 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))) (pow.f64 (pow.f64 (fma.f64 (log.f64 u1) #s(literal -2 binary64) #s(literal 0 binary64)) #s(literal 2 binary64)) #s(literal 1/4 binary64))))
(* (/ 1 6) (pow (pow (* -2 (log u1)) 2) 1/4))
(*.f64 #s(literal 1/6 binary64) (pow.f64 (pow.f64 (fma.f64 (log.f64 u1) #s(literal -2 binary64) #s(literal 0 binary64)) #s(literal 2 binary64)) #s(literal 1/4 binary64)))
(/ 1 6)
#s(literal 1/6 binary64)
1
#s(literal 1 binary64)
6
#s(literal 6 binary64)
(pow (pow (* -2 (log u1)) 2) 1/4)
(pow.f64 (pow.f64 (fma.f64 (log.f64 u1) #s(literal -2 binary64) #s(literal 0 binary64)) #s(literal 2 binary64)) #s(literal 1/4 binary64))
(pow (* -2 (log u1)) 2)
(pow.f64 (fma.f64 (log.f64 u1) #s(literal -2 binary64) #s(literal 0 binary64)) #s(literal 2 binary64))
(* -2 (log u1))
(fma.f64 (log.f64 u1) #s(literal -2 binary64) #s(literal 0 binary64))
-2
#s(literal -2 binary64)
(log u1)
(log.f64 u1)
u1
2
#s(literal 2 binary64)
1/4
#s(literal 1/4 binary64)
(cos (* (* 2 (PI)) u2))
(cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))
(* (* 2 (PI)) u2)
(*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))
(* 2 (PI))
(*.f64 #s(literal 2 binary64) (PI.f64))
(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))) (fma.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))) (fma.f64 (log.f64 u1) #s(literal -1/18 binary64) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal -1/4 binary64)) (fma.f64 #s(literal 1/6 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))) (sqrt.f64 (fma.f64 (log.f64 u1) #s(literal -2 binary64) #s(literal 0 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))) (fma.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))) (fma.f64 (log.f64 u1) #s(literal -1/18 binary64) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal -1/4 binary64))
1/36
#s(literal 1/36 binary64)
(pow (* (sqrt (* -2 (log u1))) (cos (* 2 (* (PI) u2)))) 2)
(pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))) (sqrt.f64 (fma.f64 (log.f64 u1) #s(literal -2 binary64) #s(literal 0 binary64)))) #s(literal 2 binary64))
(* (sqrt (* -2 (log u1))) (cos (* 2 (* (PI) u2))))
(*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))) (sqrt.f64 (fma.f64 (log.f64 u1) #s(literal -2 binary64) #s(literal 0 binary64))))
(sqrt (* -2 (log u1)))
(sqrt.f64 (fma.f64 (log.f64 u1) #s(literal -2 binary64) #s(literal 0 binary64)))
(* -2 (log u1))
(fma.f64 (log.f64 u1) #s(literal -2 binary64) #s(literal 0 binary64))
-2
#s(literal -2 binary64)
(log u1)
(log.f64 u1)
u1
(cos (* 2 (* (PI) u2)))
(cos.f64 (*.f64 #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 #s(literal 1/6 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))) (sqrt.f64 (fma.f64 (log.f64 u1) #s(literal -2 binary64) #s(literal 0 binary64)))) #s(literal -1/2 binary64))
(* 1/6 (cos (* 2 (* (PI) u2))))
(*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))))
1/6
#s(literal 1/6 binary64)
-1/2
#s(literal -1/2 binary64)
(+ (* (* (pow (* -2 (log u1)) 1/8) (* (pow (* -2 (log u1)) 1/8) (* 1/6 (pow (* -2 (log u1)) 1/4)))) (cos (* (* 2 (PI)) u2))) 1/2)
(fma.f64 #s(literal 1/6 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))) (sqrt.f64 (fma.f64 (log.f64 u1) #s(literal -2 binary64) #s(literal 0 binary64)))) #s(literal 1/2 binary64))
(* (* (pow (* -2 (log u1)) 1/8) (* (pow (* -2 (log u1)) 1/8) (* 1/6 (pow (* -2 (log u1)) 1/4)))) (cos (* (* 2 (PI)) u2)))
(*.f64 #s(literal 1/6 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))) (sqrt.f64 (fma.f64 (log.f64 u1) #s(literal -2 binary64) #s(literal 0 binary64)))))
(* (pow (* -2 (log u1)) 1/8) (* (pow (* -2 (log u1)) 1/8) (* 1/6 (pow (* -2 (log u1)) 1/4))))
(*.f64 #s(literal 1/6 binary64) (sqrt.f64 (fma.f64 (log.f64 u1) #s(literal -2 binary64) #s(literal 0 binary64))))
(pow (* -2 (log u1)) 1/8)
(pow.f64 (fma.f64 (log.f64 u1) #s(literal -2 binary64) #s(literal 0 binary64)) #s(literal 1/8 binary64))
(* -2 (log u1))
(fma.f64 (log.f64 u1) #s(literal -2 binary64) #s(literal 0 binary64))
-2
#s(literal -2 binary64)
(log u1)
(log.f64 u1)
u1
1/8
#s(literal 1/8 binary64)
(* (pow (* -2 (log u1)) 1/8) (* 1/6 (pow (* -2 (log u1)) 1/4)))
(*.f64 #s(literal 1/6 binary64) (pow.f64 (pow.f64 (fma.f64 (log.f64 u1) #s(literal -2 binary64) #s(literal 0 binary64)) #s(literal 1/8 binary64)) #s(literal 3 binary64)))
(* 1/6 (pow (* -2 (log u1)) 1/4))
(*.f64 #s(literal 1/6 binary64) (pow.f64 (fma.f64 (log.f64 u1) #s(literal -2 binary64) #s(literal 0 binary64)) #s(literal 1/4 binary64)))
1/6
#s(literal 1/6 binary64)
(pow (* -2 (log u1)) 1/4)
(pow.f64 (fma.f64 (log.f64 u1) #s(literal -2 binary64) #s(literal 0 binary64)) #s(literal 1/4 binary64))
1/4
#s(literal 1/4 binary64)
(cos (* (* 2 (PI)) u2))
(cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))
(* (* 2 (PI)) u2)
(*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))
(* 2 (PI))
(*.f64 #s(literal 2 binary64) (PI.f64))
2
#s(literal 2 binary64)
(PI)
(PI.f64)
u2
1/2
#s(literal 1/2 binary64)

localize289.0ms (2.2%)

Memory
10.4MiB live, 358.9MiB allocated
Localize:

Found 20 expressions of interest:

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

Compiled 501 to 59 computations (88.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 144.0ms
ival-sqrt: 45.0ms (31.2% of total)
ival-mult: 28.0ms (19.4% of total)
ival-log: 23.0ms (15.9% of total)
ival-pow: 18.0ms (12.5% of total)
ival-add: 7.0ms (4.9% of total)
const: 7.0ms (4.9% of total)
ival-pow2: 5.0ms (3.5% of total)
ival-div: 4.0ms (2.8% of total)
ival-cos: 4.0ms (2.8% of total)
ival-pi: 1.0ms (0.7% of total)
ival-sub: 1.0ms (0.7% of total)
exact: 1.0ms (0.7% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series294.0ms (2.2%)

Memory
14.1MiB live, 404.0MiB allocated
Counts
26 → 372
Calls
Call 1
Inputs
#<alt (/ 1 6)>
#<alt (+ (* (* (/ 1 6) (* (sqrt (- 0 (log u1))) (sqrt 2))) (cos (* (* 2 (PI)) u2))) 1/2)>
#<alt (* (* (/ 1 6) (* (sqrt (- 0 (log u1))) (sqrt 2))) (cos (* (* 2 (PI)) u2)))>
#<alt (* (/ 1 6) (* (sqrt (- 0 (log u1))) (sqrt 2)))>
#<alt (+ (* (sqrt (log u1)) (* (sqrt -2) 1/6)) 1/2)>
#<alt (sqrt (log u1))>
#<alt (log u1)>
#<alt (* (sqrt -2) 1/6)>
#<alt (+ (* (* (/ 1 6) (pow (pow (* -2 (log u1)) 2) 1/4)) (cos (* (* 2 (PI)) u2))) 1/2)>
#<alt (* (* (/ 1 6) (pow (pow (* -2 (log u1)) 2) 1/4)) (cos (* (* 2 (PI)) u2)))>
#<alt (* (/ 1 6) (pow (pow (* -2 (log u1)) 2) 1/4))>
#<alt (/ (+ (* 1/36 (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 (+ (* 1/36 (pow (* (sqrt (* -2 (log u1))) (cos (* 2 (* (PI) u2)))) 2)) -1/4)>
#<alt (pow (* (sqrt (* -2 (log u1))) (cos (* 2 (* (PI) u2)))) 2)>
#<alt (* (sqrt (* -2 (log u1))) (cos (* 2 (* (PI) u2))))>
#<alt (* (pow (* -2 (log u1)) 1/8) (* (pow (* -2 (log u1)) 1/8) (* 1/6 (pow (* -2 (log u1)) 1/4))))>
#<alt (* (pow (* -2 (log u1)) 1/8) (* 1/6 (pow (* -2 (log u1)) 1/4)))>
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#<alt (* (* (pow (* -2 (log u1)) 1/8) (* (pow (* -2 (log u1)) 1/8) (* 1/6 (pow (* -2 (log u1)) 1/4)))) (cos (* (* 2 (PI)) u2)))>
#<alt (PI)>
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Outputs
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#<alt (+ (* 1/6 (* (sqrt (log u1)) (* (sqrt -1) (sqrt 2)))) (* (pow u2 2) (+ (* -1/3 (* (* (pow (PI) 2) (* (sqrt -1) (sqrt 2))) (sqrt (log u1)))) (* 1/9 (* (* (pow u2 2) (* (pow (PI) 4) (* (sqrt -1) (sqrt 2)))) (sqrt (log u1)))))))>
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#<alt (+ 1/2 (* 1/6 (* (pow 4 1/4) (sqrt (log u1)))))>
#<alt (+ 1/2 (+ (* -1/3 (* (pow 4 1/4) (* (* (pow u2 2) (pow (PI) 2)) (sqrt (log u1))))) (* 1/6 (* (pow 4 1/4) (sqrt (log u1))))))>
#<alt (+ 1/2 (+ (* 1/6 (* (pow 4 1/4) (sqrt (log u1)))) (* (pow u2 2) (+ (* -1/3 (* (pow 4 1/4) (* (pow (PI) 2) (sqrt (log u1))))) (* 1/9 (* (pow 4 1/4) (* (* (pow u2 2) (pow (PI) 4)) (sqrt (log u1)))))))))>
#<alt (+ 1/2 (+ (* 1/6 (* (pow 4 1/4) (sqrt (log u1)))) (* (pow u2 2) (+ (* -1/3 (* (pow 4 1/4) (* (pow (PI) 2) (sqrt (log u1))))) (* (pow u2 2) (+ (* -2/135 (* (pow 4 1/4) (* (* (pow u2 2) (pow (PI) 6)) (sqrt (log u1))))) (* 1/9 (* (pow 4 1/4) (* (pow (PI) 4) (sqrt (log u1)))))))))))>
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#<alt (+ 1/2 (* 1/6 (* (pow 16 1/8) (* (cos (* 2 (* u2 (PI)))) (sqrt (log u1))))))>
#<alt (+ 1/2 (* 1/6 (* (pow 16 1/8) (* (cos (* 2 (* u2 (PI)))) (sqrt (log u1))))))>
#<alt (+ 1/2 (* 1/6 (* (pow 16 1/8) (* (cos (* 2 (* u2 (PI)))) (sqrt (log u1))))))>
#<alt (* 1/6 (* (pow 16 1/8) (* (cos (* 2 (* u2 (PI)))) (sqrt (log u1)))))>
#<alt (* 1/6 (* (pow 16 1/8) (* (cos (* 2 (* u2 (PI)))) (sqrt (log u1)))))>
#<alt (* 1/6 (* (pow 16 1/8) (* (cos (* 2 (* u2 (PI)))) (sqrt (log u1)))))>
#<alt (* 1/6 (* (pow 16 1/8) (* (cos (* 2 (* u2 (PI)))) (sqrt (log u1)))))>
#<alt (* 1/6 (* (pow 16 1/8) (* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (log (/ 1 u1))))))>
#<alt (* 1/6 (* (pow 16 1/8) (* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (log (/ 1 u1))))))>
#<alt (* 1/6 (* (pow 16 1/8) (* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (log (/ 1 u1))))))>
#<alt (* 1/6 (* (pow 16 1/8) (* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (log (/ 1 u1))))))>
#<alt (* 1/6 (* (pow 16 1/8) (* (cos (* 2 (* u2 (PI)))) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))))>
#<alt (* 1/6 (* (pow 16 1/8) (* (cos (* 2 (* u2 (PI)))) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))))>
#<alt (* 1/6 (* (pow 16 1/8) (* (cos (* 2 (* u2 (PI)))) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))))>
#<alt (* 1/6 (* (pow 16 1/8) (* (cos (* 2 (* u2 (PI)))) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))))>
#<alt (* 1/6 (* (pow 16 1/8) (sqrt (log u1))))>
#<alt (+ (* -1/3 (* (pow 16 1/8) (* (* (pow u2 2) (pow (PI) 2)) (sqrt (log u1))))) (* 1/6 (* (pow 16 1/8) (sqrt (log u1)))))>
#<alt (+ (* 1/6 (* (pow 16 1/8) (sqrt (log u1)))) (* (pow u2 2) (+ (* -1/3 (* (pow 16 1/8) (* (pow (PI) 2) (sqrt (log u1))))) (* 1/9 (* (pow 16 1/8) (* (* (pow u2 2) (pow (PI) 4)) (sqrt (log u1))))))))>
#<alt (+ (* 1/6 (* (pow 16 1/8) (sqrt (log u1)))) (* (pow u2 2) (+ (* -1/3 (* (pow 16 1/8) (* (pow (PI) 2) (sqrt (log u1))))) (* (pow u2 2) (+ (* -2/135 (* (pow 16 1/8) (* (* (pow u2 2) (pow (PI) 6)) (sqrt (log u1))))) (* 1/9 (* (pow 16 1/8) (* (pow (PI) 4) (sqrt (log u1))))))))))>
#<alt (* 1/6 (* (pow 16 1/8) (* (cos (* 2 (* u2 (PI)))) (sqrt (log u1)))))>
#<alt (* 1/6 (* (pow 16 1/8) (* (cos (* 2 (* u2 (PI)))) (sqrt (log u1)))))>
#<alt (* 1/6 (* (pow 16 1/8) (* (cos (* 2 (* u2 (PI)))) (sqrt (log u1)))))>
#<alt (* 1/6 (* (pow 16 1/8) (* (cos (* 2 (* u2 (PI)))) (sqrt (log u1)))))>
#<alt (* 1/6 (* (pow 16 1/8) (* (cos (* 2 (* u2 (PI)))) (sqrt (log u1)))))>
#<alt (* 1/6 (* (pow 16 1/8) (* (cos (* 2 (* u2 (PI)))) (sqrt (log u1)))))>
#<alt (* 1/6 (* (pow 16 1/8) (* (cos (* 2 (* u2 (PI)))) (sqrt (log u1)))))>
#<alt (* 1/6 (* (pow 16 1/8) (* (cos (* 2 (* u2 (PI)))) (sqrt (log u1)))))>
#<alt 1>
#<alt (+ 1 (* -2 (* (pow u2 2) (pow (PI) 2))))>
#<alt (+ 1 (* (pow u2 2) (+ (* -2 (pow (PI) 2)) (* 2/3 (* (pow u2 2) (pow (PI) 4))))))>
#<alt (+ 1 (* (pow u2 2) (+ (* -2 (pow (PI) 2)) (* (pow u2 2) (+ (* -4/45 (* (pow u2 2) (pow (PI) 6))) (* 2/3 (pow (PI) 4)))))))>
#<alt (cos (* 2 (* u2 (PI))))>
#<alt (cos (* 2 (* u2 (PI))))>
#<alt (cos (* 2 (* u2 (PI))))>
#<alt (cos (* 2 (* u2 (PI))))>
#<alt (cos (* 2 (* u2 (PI))))>
#<alt (cos (* 2 (* u2 (PI))))>
#<alt (cos (* 2 (* u2 (PI))))>
#<alt (cos (* 2 (* u2 (PI))))>
#<alt (* -2 (log u1))>
#<alt (* -2 (log u1))>
#<alt (* -2 (log u1))>
#<alt (* -2 (log u1))>
#<alt (* 2 (log (/ 1 u1)))>
#<alt (* 2 (log (/ 1 u1)))>
#<alt (* 2 (log (/ 1 u1)))>
#<alt (* 2 (log (/ 1 u1)))>
#<alt (* -2 (+ (log -1) (* -1 (log (/ -1 u1)))))>
#<alt (* -2 (+ (log -1) (* -1 (log (/ -1 u1)))))>
#<alt (* -2 (+ (log -1) (* -1 (log (/ -1 u1)))))>
#<alt (* -2 (+ (log -1) (* -1 (log (/ -1 u1)))))>
#<alt 1>
#<alt (+ 1 (* -2 (* (pow u2 2) (pow (PI) 2))))>
#<alt (+ 1 (* (pow u2 2) (+ (* -2 (pow (PI) 2)) (* 2/3 (* (pow u2 2) (pow (PI) 4))))))>
#<alt (+ 1 (* (pow u2 2) (+ (* -2 (pow (PI) 2)) (* (pow u2 2) (+ (* -4/45 (* (pow u2 2) (pow (PI) 6))) (* 2/3 (pow (PI) 4)))))))>
#<alt (cos (* 2 (* u2 (PI))))>
#<alt (cos (* 2 (* u2 (PI))))>
#<alt (cos (* 2 (* u2 (PI))))>
#<alt (cos (* 2 (* u2 (PI))))>
#<alt (cos (* 2 (* u2 (PI))))>
#<alt (cos (* 2 (* u2 (PI))))>
#<alt (cos (* 2 (* u2 (PI))))>
#<alt (cos (* 2 (* u2 (PI))))>
#<alt (* (sqrt (log u1)) (sqrt -2))>
#<alt (* (sqrt (log u1)) (sqrt -2))>
#<alt (* (sqrt (log u1)) (sqrt -2))>
#<alt (* (sqrt (log u1)) (sqrt -2))>
#<alt (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1)))>
#<alt (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1)))>
#<alt (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1)))>
#<alt (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1)))>
#<alt (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))>
#<alt (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))>
#<alt (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))>
#<alt (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))>
Calls

93 calls:

TimeVariablePointExpression
82.0ms
u1
@-inf
(* (pow (* -2 (log u1)) 1/8) (* 1/6 (pow (* -2 (log u1)) 1/4)))
35.0ms
u1
@inf
(+ (* (* (/ 1 6) (pow (pow (* -2 (log u1)) 2) 1/4)) (cos (* (* 2 (PI)) u2))) 1/2)
31.0ms
u1
@0
(+ (* (* (/ 1 6) (pow (pow (* -2 (log u1)) 2) 1/4)) (cos (* (* 2 (PI)) u2))) 1/2)
31.0ms
u2
@inf
(/ (+ (* 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))
19.0ms
u1
@0
(* (pow (* -2 (log u1)) 1/8) (* 1/6 (pow (* -2 (log u1)) 1/4)))

rewrite544.0ms (4%)

Memory
46.3MiB live, 948.0MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
4 552×*-lowering-*.f32
4 552×*-lowering-*.f64
3 826×accelerator-lowering-fma.f32
3 826×accelerator-lowering-fma.f64
3 574×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
057242
1274239
21695222
08642216
Stop Event
1×iter limit
1×node limit
Counts
26 → 1 101
Calls
Call 1
Inputs
(/ 1 6)
(+ (* (* (/ 1 6) (* (sqrt (- 0 (log u1))) (sqrt 2))) (cos (* (* 2 (PI)) u2))) 1/2)
(* (* (/ 1 6) (* (sqrt (- 0 (log u1))) (sqrt 2))) (cos (* (* 2 (PI)) u2)))
(* (/ 1 6) (* (sqrt (- 0 (log u1))) (sqrt 2)))
(+ (* (sqrt (log u1)) (* (sqrt -2) 1/6)) 1/2)
(sqrt (log u1))
(log u1)
(* (sqrt -2) 1/6)
(+ (* (* (/ 1 6) (pow (pow (* -2 (log u1)) 2) 1/4)) (cos (* (* 2 (PI)) u2))) 1/2)
(* (* (/ 1 6) (pow (pow (* -2 (log u1)) 2) 1/4)) (cos (* (* 2 (PI)) u2)))
(* (/ 1 6) (pow (pow (* -2 (log u1)) 2) 1/4))
(/ (+ (* 1/36 (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)
(pow (* (sqrt (* -2 (log u1))) (cos (* 2 (* (PI) u2)))) 2)
(* (sqrt (* -2 (log u1))) (cos (* 2 (* (PI) u2))))
(* (pow (* -2 (log u1)) 1/8) (* (pow (* -2 (log u1)) 1/8) (* 1/6 (pow (* -2 (log u1)) 1/4))))
(* (pow (* -2 (log u1)) 1/8) (* 1/6 (pow (* -2 (log u1)) 1/4)))
(+ (* (* (pow (* -2 (log u1)) 1/8) (* (pow (* -2 (log u1)) 1/8) (* 1/6 (pow (* -2 (log u1)) 1/4)))) (cos (* (* 2 (PI)) u2))) 1/2)
(* (* (pow (* -2 (log u1)) 1/8) (* (pow (* -2 (log u1)) 1/8) (* 1/6 (pow (* -2 (log u1)) 1/4)))) (cos (* (* 2 (PI)) u2)))
(PI)
(cos (* (* 2 (PI)) u2))
(sqrt 2)
(sqrt -2)
(* -2 (log u1))
(cos (* 2 (* (PI) u2)))
(sqrt (* -2 (log u1)))
Outputs
#s(literal 1/6 binary64)
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))) (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))))))
(+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))) (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))))) #s(literal 1/2 binary64))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))) (*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))) #s(literal 1/2 binary64)))) #s(literal -1 binary64)))
(-.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))) (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))))) #s(literal -1/2 binary64))
(-.f64 (/.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))))) (*.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)) #s(literal 1/36 binary64))) (fma.f64 (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))) (*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))) #s(literal -1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (fma.f64 (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))) (*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))) #s(literal -1/2 binary64))))
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (fma.f64 (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))) (*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))) #s(literal -1/2 binary64)))) (/.f64 (fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))))) (*.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)) #s(literal 1/36 binary64)) #s(literal -1/4 binary64)) (-.f64 #s(literal 0 binary64) (fma.f64 (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))) (*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))) #s(literal -1/2 binary64)))))
(-.f64 (/.f64 (/.f64 (pow.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))) (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))))) #s(literal 4 binary64)) (fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))))) (*.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)) #s(literal 1/36 binary64)) #s(literal 1/4 binary64))) (fma.f64 (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))) (*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))) #s(literal -1/2 binary64))) (/.f64 (/.f64 #s(literal 1/16 binary64) (fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))))) (*.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)) #s(literal 1/36 binary64)) #s(literal 1/4 binary64))) (fma.f64 (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))) (*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))) #s(literal -1/2 binary64))))
(-.f64 (/.f64 (pow.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))) (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))))) #s(literal 4 binary64)) (*.f64 (fma.f64 (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))) (*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))) #s(literal -1/2 binary64)) (fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))))) (*.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)) #s(literal 1/36 binary64)) #s(literal 1/4 binary64)))) (/.f64 #s(literal 1/16 binary64) (*.f64 (fma.f64 (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))) (*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))) #s(literal -1/2 binary64)) (fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))))) (*.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)) #s(literal 1/36 binary64)) #s(literal 1/4 binary64)))))
(-.f64 (/.f64 (pow.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))) (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))))) #s(literal 3 binary64)) (fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))))) (*.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)) #s(literal 1/36 binary64)) (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)))) (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))) #s(literal -1/2 binary64)))))) (/.f64 #s(literal -1/8 binary64) (fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))))) (*.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)) #s(literal 1/36 binary64)) (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)))) (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))) #s(literal -1/2 binary64)))))))
(-.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))) (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))))))) (/.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))))) (*.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)) #s(literal 1/36 binary64))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))) (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))))))))
(fma.f64 #s(literal 1/6 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))) (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)))) #s(literal 1/2 binary64))
(fma.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)))) #s(literal 1/2 binary64))
(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 (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)))) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))) #s(literal 1/2 binary64))
(fma.f64 (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))) (*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))) #s(literal 1/2 binary64))
(fma.f64 (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))) (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)))) #s(literal 1/6 binary64) #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 (log.f64 u1) #s(literal -2 binary64))) #s(literal 1/2 binary64))
(fma.f64 (pow.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)) #s(literal 1/8 binary64)) (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))) (*.f64 #s(literal 1/6 binary64) (pow.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)) #s(literal 3/8 binary64)))) #s(literal 1/2 binary64))
(fma.f64 (pow.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)) #s(literal 1/4 binary64)) (*.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)) #s(literal 1/4 binary64))) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))) #s(literal 1/2 binary64))
(fma.f64 (pow.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)) #s(literal 1/4 binary64)) (*.f64 (pow.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)) #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 (*.f64 #s(literal 1/6 binary64) (pow.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)) #s(literal 3/8 binary64))) (*.f64 (pow.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)) #s(literal 1/8 binary64)) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))) #s(literal 1/2 binary64))
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(*.f64 (pow.f64 (pow.f64 (*.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)) #s(literal -2 binary64)) #s(literal 1/8 binary64)) #s(literal 2 binary64)) (pow.f64 (log.f64 u1) #s(literal 1/4 binary64)))
(*.f64 (sqrt.f64 (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)))) (sqrt.f64 (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)))))

simplify1.1s (7.9%)

Memory
-38.3MiB live, 1 023.5MiB allocated
Algorithm
1×egg-herbie
Rules
13 372×accelerator-lowering-fma.f32
13 372×accelerator-lowering-fma.f64
8 388×*-lowering-*.f32
8 388×*-lowering-*.f64
4 408×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03927892
111947209
244047065
080226787
Stop Event
1×iter limit
1×node limit
Counts
372 → 372
Calls
Call 1
Inputs
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(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (sqrt 2))) (sqrt (log u1)))))
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (sqrt 2))) (sqrt (log u1)))))
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (pow (sqrt -1) 2) (sqrt 2))) (sqrt (log (/ 1 u1))))))
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (pow (sqrt -1) 2) (sqrt 2))) (sqrt (log (/ 1 u1))))))
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (pow (sqrt -1) 2) (sqrt 2))) (sqrt (log (/ 1 u1))))))
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(/ (- (* 1/36 (* (pow (cos (* 2 (* u2 (PI)))) 2) (* (pow (sqrt -2) 2) (+ (log -1) (* -1 (log (/ -1 u1))))))) 1/4) (- (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))) 1/2))
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(+ (* -1/3 (* (pow 16 1/8) (* (* (pow u2 2) (pow (PI) 2)) (sqrt (log u1))))) (* 1/6 (* (pow 16 1/8) (sqrt (log u1)))))
(+ (* 1/6 (* (pow 16 1/8) (sqrt (log u1)))) (* (pow u2 2) (+ (* -1/3 (* (pow 16 1/8) (* (pow (PI) 2) (sqrt (log u1))))) (* 1/9 (* (pow 16 1/8) (* (* (pow u2 2) (pow (PI) 4)) (sqrt (log u1))))))))
(+ (* 1/6 (* (pow 16 1/8) (sqrt (log u1)))) (* (pow u2 2) (+ (* -1/3 (* (pow 16 1/8) (* (pow (PI) 2) (sqrt (log u1))))) (* (pow u2 2) (+ (* -2/135 (* (pow 16 1/8) (* (* (pow u2 2) (pow (PI) 6)) (sqrt (log u1))))) (* 1/9 (* (pow 16 1/8) (* (pow (PI) 4) (sqrt (log u1))))))))))
(* 1/6 (* (pow 16 1/8) (* (cos (* 2 (* u2 (PI)))) (sqrt (log u1)))))
(* 1/6 (* (pow 16 1/8) (* (cos (* 2 (* u2 (PI)))) (sqrt (log u1)))))
(* 1/6 (* (pow 16 1/8) (* (cos (* 2 (* u2 (PI)))) (sqrt (log u1)))))
(* 1/6 (* (pow 16 1/8) (* (cos (* 2 (* u2 (PI)))) (sqrt (log u1)))))
(* 1/6 (* (pow 16 1/8) (* (cos (* 2 (* u2 (PI)))) (sqrt (log u1)))))
(* 1/6 (* (pow 16 1/8) (* (cos (* 2 (* u2 (PI)))) (sqrt (log u1)))))
(* 1/6 (* (pow 16 1/8) (* (cos (* 2 (* u2 (PI)))) (sqrt (log u1)))))
(* 1/6 (* (pow 16 1/8) (* (cos (* 2 (* u2 (PI)))) (sqrt (log u1)))))
1
(+ 1 (* -2 (* (pow u2 2) (pow (PI) 2))))
(+ 1 (* (pow u2 2) (+ (* -2 (pow (PI) 2)) (* 2/3 (* (pow u2 2) (pow (PI) 4))))))
(+ 1 (* (pow u2 2) (+ (* -2 (pow (PI) 2)) (* (pow u2 2) (+ (* -4/45 (* (pow u2 2) (pow (PI) 6))) (* 2/3 (pow (PI) 4)))))))
(cos (* 2 (* u2 (PI))))
(cos (* 2 (* u2 (PI))))
(cos (* 2 (* u2 (PI))))
(cos (* 2 (* u2 (PI))))
(cos (* 2 (* u2 (PI))))
(cos (* 2 (* u2 (PI))))
(cos (* 2 (* u2 (PI))))
(cos (* 2 (* u2 (PI))))
(* -2 (log u1))
(* -2 (log u1))
(* -2 (log u1))
(* -2 (log u1))
(* 2 (log (/ 1 u1)))
(* 2 (log (/ 1 u1)))
(* 2 (log (/ 1 u1)))
(* 2 (log (/ 1 u1)))
(* -2 (+ (log -1) (* -1 (log (/ -1 u1)))))
(* -2 (+ (log -1) (* -1 (log (/ -1 u1)))))
(* -2 (+ (log -1) (* -1 (log (/ -1 u1)))))
(* -2 (+ (log -1) (* -1 (log (/ -1 u1)))))
1
(+ 1 (* -2 (* (pow u2 2) (pow (PI) 2))))
(+ 1 (* (pow u2 2) (+ (* -2 (pow (PI) 2)) (* 2/3 (* (pow u2 2) (pow (PI) 4))))))
(+ 1 (* (pow u2 2) (+ (* -2 (pow (PI) 2)) (* (pow u2 2) (+ (* -4/45 (* (pow u2 2) (pow (PI) 6))) (* 2/3 (pow (PI) 4)))))))
(cos (* 2 (* u2 (PI))))
(cos (* 2 (* u2 (PI))))
(cos (* 2 (* u2 (PI))))
(cos (* 2 (* u2 (PI))))
(cos (* 2 (* u2 (PI))))
(cos (* 2 (* u2 (PI))))
(cos (* 2 (* u2 (PI))))
(cos (* 2 (* u2 (PI))))
(* (sqrt (log u1)) (sqrt -2))
(* (sqrt (log u1)) (sqrt -2))
(* (sqrt (log u1)) (sqrt -2))
(* (sqrt (log u1)) (sqrt -2))
(* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1)))
(* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1)))
(* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1)))
(* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1)))
(* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))
(* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))
(* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))
(* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))
Outputs
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (sqrt 2))) (sqrt (log u1)))))
(fma.f64 (cos.f64 (*.f64 (PI.f64) (*.f64 #s(literal 2 binary64) u2))) (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (log.f64 u1)))) #s(literal 1/2 binary64))
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (sqrt 2))) (sqrt (log u1)))))
(fma.f64 (cos.f64 (*.f64 (PI.f64) (*.f64 #s(literal 2 binary64) u2))) (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (log.f64 u1)))) #s(literal 1/2 binary64))
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (sqrt 2))) (sqrt (log u1)))))
(fma.f64 (cos.f64 (*.f64 (PI.f64) (*.f64 #s(literal 2 binary64) u2))) (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (log.f64 u1)))) #s(literal 1/2 binary64))
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (sqrt 2))) (sqrt (log u1)))))
(fma.f64 (cos.f64 (*.f64 (PI.f64) (*.f64 #s(literal 2 binary64) u2))) (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (log.f64 u1)))) #s(literal 1/2 binary64))
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (pow (sqrt -1) 2) (sqrt 2))) (sqrt (log (/ 1 u1))))))
(fma.f64 (cos.f64 (*.f64 (PI.f64) (*.f64 #s(literal 2 binary64) u2))) (*.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (-.f64 #s(literal 0 binary64) (log.f64 u1))))) #s(literal 1/2 binary64))
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (pow (sqrt -1) 2) (sqrt 2))) (sqrt (log (/ 1 u1))))))
(fma.f64 (cos.f64 (*.f64 (PI.f64) (*.f64 #s(literal 2 binary64) u2))) (*.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (-.f64 #s(literal 0 binary64) (log.f64 u1))))) #s(literal 1/2 binary64))
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (pow (sqrt -1) 2) (sqrt 2))) (sqrt (log (/ 1 u1))))))
(fma.f64 (cos.f64 (*.f64 (PI.f64) (*.f64 #s(literal 2 binary64) u2))) (*.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (-.f64 #s(literal 0 binary64) (log.f64 u1))))) #s(literal 1/2 binary64))
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (pow (sqrt -1) 2) (sqrt 2))) (sqrt (log (/ 1 u1))))))
(fma.f64 (cos.f64 (*.f64 (PI.f64) (*.f64 #s(literal 2 binary64) u2))) (*.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (-.f64 #s(literal 0 binary64) (log.f64 u1))))) #s(literal 1/2 binary64))
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (sqrt 2))) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))))
(fma.f64 (sqrt.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) u1)))) (*.f64 #s(literal 1/6 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (cos.f64 (*.f64 (PI.f64) (*.f64 #s(literal 2 binary64) u2))) (sqrt.f64 #s(literal -1 binary64))))) #s(literal 1/2 binary64))
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (sqrt 2))) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))))
(fma.f64 (sqrt.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) u1)))) (*.f64 #s(literal 1/6 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (cos.f64 (*.f64 (PI.f64) (*.f64 #s(literal 2 binary64) u2))) (sqrt.f64 #s(literal -1 binary64))))) #s(literal 1/2 binary64))
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (sqrt 2))) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))))
(fma.f64 (sqrt.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) u1)))) (*.f64 #s(literal 1/6 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (cos.f64 (*.f64 (PI.f64) (*.f64 #s(literal 2 binary64) u2))) (sqrt.f64 #s(literal -1 binary64))))) #s(literal 1/2 binary64))
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (sqrt 2))) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))))
(fma.f64 (sqrt.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) u1)))) (*.f64 #s(literal 1/6 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (cos.f64 (*.f64 (PI.f64) (*.f64 #s(literal 2 binary64) u2))) (sqrt.f64 #s(literal -1 binary64))))) #s(literal 1/2 binary64))
(+ 1/2 (* 1/6 (* (sqrt (log u1)) (* (sqrt -1) (sqrt 2)))))
(fma.f64 (sqrt.f64 (log.f64 u1)) (*.f64 (*.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(literal -1 binary64))) #s(literal 1/2 binary64))
(+ 1/2 (+ (* -1/3 (* (* (pow u2 2) (* (pow (PI) 2) (* (sqrt -1) (sqrt 2)))) (sqrt (log u1)))) (* 1/6 (* (sqrt (log u1)) (* (sqrt -1) (sqrt 2))))))
(fma.f64 (sqrt.f64 (log.f64 u1)) (fma.f64 (*.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 (PI.f64) (PI.f64))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 u2 u2) (*.f64 (*.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(literal -1 binary64)))) #s(literal 1/2 binary64))
(+ 1/2 (+ (* 1/6 (* (sqrt (log u1)) (* (sqrt -1) (sqrt 2)))) (* (pow u2 2) (+ (* -1/3 (* (* (pow (PI) 2) (* (sqrt -1) (sqrt 2))) (sqrt (log u1)))) (* 1/9 (* (* (pow u2 2) (* (pow (PI) 4) (* (sqrt -1) (sqrt 2)))) (sqrt (log u1))))))))
(fma.f64 (*.f64 (sqrt.f64 (log.f64 u1)) (*.f64 u2 u2)) (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 #s(literal 1/9 binary64) (*.f64 u2 (*.f64 u2 (pow.f64 (PI.f64) #s(literal 4 binary64)))) (*.f64 #s(literal -1/3 binary64) (*.f64 (PI.f64) (PI.f64))))) (fma.f64 (sqrt.f64 (log.f64 u1)) (*.f64 (*.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(literal -1 binary64))) #s(literal 1/2 binary64)))
(+ 1/2 (+ (* 1/6 (* (sqrt (log u1)) (* (sqrt -1) (sqrt 2)))) (* (pow u2 2) (+ (* -1/3 (* (* (pow (PI) 2) (* (sqrt -1) (sqrt 2))) (sqrt (log u1)))) (* (pow u2 2) (+ (* -2/135 (* (* (pow u2 2) (* (pow (PI) 6) (* (sqrt -1) (sqrt 2)))) (sqrt (log u1)))) (* 1/9 (* (* (pow (PI) 4) (* (sqrt -1) (sqrt 2))) (sqrt (log u1))))))))))
(fma.f64 (sqrt.f64 (log.f64 u1)) (fma.f64 #s(literal 1/6 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (*.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 (PI.f64) (PI.f64))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 u2 u2))) (fma.f64 (*.f64 u2 u2) (*.f64 (*.f64 (sqrt.f64 (log.f64 u1)) (*.f64 u2 u2)) (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 #s(literal -2/135 binary64) (*.f64 u2 (*.f64 u2 (pow.f64 (PI.f64) #s(literal 6 binary64)))) (*.f64 #s(literal 1/9 binary64) (pow.f64 (PI.f64) #s(literal 4 binary64)))))) #s(literal 1/2 binary64)))
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (sqrt 2))) (sqrt (log u1)))))
(fma.f64 (cos.f64 (*.f64 (PI.f64) (*.f64 #s(literal 2 binary64) u2))) (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (log.f64 u1)))) #s(literal 1/2 binary64))
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (sqrt 2))) (sqrt (log u1)))))
(fma.f64 (cos.f64 (*.f64 (PI.f64) (*.f64 #s(literal 2 binary64) u2))) (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (log.f64 u1)))) #s(literal 1/2 binary64))
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (sqrt 2))) (sqrt (log u1)))))
(fma.f64 (cos.f64 (*.f64 (PI.f64) (*.f64 #s(literal 2 binary64) u2))) (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (log.f64 u1)))) #s(literal 1/2 binary64))
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (sqrt 2))) (sqrt (log u1)))))
(fma.f64 (cos.f64 (*.f64 (PI.f64) (*.f64 #s(literal 2 binary64) u2))) (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (log.f64 u1)))) #s(literal 1/2 binary64))
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (sqrt 2))) (sqrt (log u1)))))
(fma.f64 (cos.f64 (*.f64 (PI.f64) (*.f64 #s(literal 2 binary64) u2))) (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (log.f64 u1)))) #s(literal 1/2 binary64))
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (sqrt 2))) (sqrt (log u1)))))
(fma.f64 (cos.f64 (*.f64 (PI.f64) (*.f64 #s(literal 2 binary64) u2))) (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (log.f64 u1)))) #s(literal 1/2 binary64))
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (sqrt 2))) (sqrt (log u1)))))
(fma.f64 (cos.f64 (*.f64 (PI.f64) (*.f64 #s(literal 2 binary64) u2))) (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (log.f64 u1)))) #s(literal 1/2 binary64))
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (sqrt 2))) (sqrt (log u1)))))
(fma.f64 (cos.f64 (*.f64 (PI.f64) (*.f64 #s(literal 2 binary64) u2))) (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (log.f64 u1)))) #s(literal 1/2 binary64))
(* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (sqrt 2))) (sqrt (log u1))))
(*.f64 (cos.f64 (*.f64 (PI.f64) (*.f64 #s(literal 2 binary64) u2))) (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (log.f64 u1)))))
(* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (sqrt 2))) (sqrt (log u1))))
(*.f64 (cos.f64 (*.f64 (PI.f64) (*.f64 #s(literal 2 binary64) u2))) (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (log.f64 u1)))))
(* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (sqrt 2))) (sqrt (log u1))))
(*.f64 (cos.f64 (*.f64 (PI.f64) (*.f64 #s(literal 2 binary64) u2))) (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (log.f64 u1)))))
(* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (sqrt 2))) (sqrt (log u1))))
(*.f64 (cos.f64 (*.f64 (PI.f64) (*.f64 #s(literal 2 binary64) u2))) (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (log.f64 u1)))))
(* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (pow (sqrt -1) 2) (sqrt 2))) (sqrt (log (/ 1 u1)))))
(*.f64 (cos.f64 (*.f64 (PI.f64) (*.f64 #s(literal 2 binary64) u2))) (*.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (-.f64 #s(literal 0 binary64) (log.f64 u1))))))
(* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (pow (sqrt -1) 2) (sqrt 2))) (sqrt (log (/ 1 u1)))))
(*.f64 (cos.f64 (*.f64 (PI.f64) (*.f64 #s(literal 2 binary64) u2))) (*.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (-.f64 #s(literal 0 binary64) (log.f64 u1))))))
(* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (pow (sqrt -1) 2) (sqrt 2))) (sqrt (log (/ 1 u1)))))
(*.f64 (cos.f64 (*.f64 (PI.f64) (*.f64 #s(literal 2 binary64) u2))) (*.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (-.f64 #s(literal 0 binary64) (log.f64 u1))))))
(* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (pow (sqrt -1) 2) (sqrt 2))) (sqrt (log (/ 1 u1)))))
(*.f64 (cos.f64 (*.f64 (PI.f64) (*.f64 #s(literal 2 binary64) u2))) (*.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (-.f64 #s(literal 0 binary64) (log.f64 u1))))))
(* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (sqrt 2))) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))))
(*.f64 (sqrt.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) u1)))) (*.f64 #s(literal 1/6 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (cos.f64 (*.f64 (PI.f64) (*.f64 #s(literal 2 binary64) u2))) (sqrt.f64 #s(literal -1 binary64))))))
(* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (sqrt 2))) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))))
(*.f64 (sqrt.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) u1)))) (*.f64 #s(literal 1/6 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (cos.f64 (*.f64 (PI.f64) (*.f64 #s(literal 2 binary64) u2))) (sqrt.f64 #s(literal -1 binary64))))))
(* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (sqrt 2))) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))))
(*.f64 (sqrt.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) u1)))) (*.f64 #s(literal 1/6 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (cos.f64 (*.f64 (PI.f64) (*.f64 #s(literal 2 binary64) u2))) (sqrt.f64 #s(literal -1 binary64))))))
(* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (sqrt 2))) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))))
(*.f64 (sqrt.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) u1)))) (*.f64 #s(literal 1/6 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (cos.f64 (*.f64 (PI.f64) (*.f64 #s(literal 2 binary64) u2))) (sqrt.f64 #s(literal -1 binary64))))))
(* 1/6 (* (sqrt (log u1)) (* (sqrt -1) (sqrt 2))))
(*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (log.f64 u1))))
(+ (* -1/3 (* (* (pow u2 2) (* (pow (PI) 2) (* (sqrt -1) (sqrt 2)))) (sqrt (log u1)))) (* 1/6 (* (sqrt (log u1)) (* (sqrt -1) (sqrt 2)))))
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(*.f64 (*.f64 (cos.f64 (*.f64 (PI.f64) (*.f64 #s(literal 2 binary64) u2))) (sqrt.f64 (log.f64 u1))) (*.f64 #s(literal 1/6 binary64) (pow.f64 #s(literal 16 binary64) #s(literal 1/8 binary64))))
(* 1/6 (* (pow 16 1/8) (* (cos (* 2 (* u2 (PI)))) (sqrt (log u1)))))
(*.f64 (*.f64 (cos.f64 (*.f64 (PI.f64) (*.f64 #s(literal 2 binary64) u2))) (sqrt.f64 (log.f64 u1))) (*.f64 #s(literal 1/6 binary64) (pow.f64 #s(literal 16 binary64) #s(literal 1/8 binary64))))
(* 1/6 (* (pow 16 1/8) (* (cos (* 2 (* u2 (PI)))) (sqrt (log u1)))))
(*.f64 (*.f64 (cos.f64 (*.f64 (PI.f64) (*.f64 #s(literal 2 binary64) u2))) (sqrt.f64 (log.f64 u1))) (*.f64 #s(literal 1/6 binary64) (pow.f64 #s(literal 16 binary64) #s(literal 1/8 binary64))))
(* 1/6 (* (pow 16 1/8) (* (cos (* 2 (* u2 (PI)))) (sqrt (log u1)))))
(*.f64 (*.f64 (cos.f64 (*.f64 (PI.f64) (*.f64 #s(literal 2 binary64) u2))) (sqrt.f64 (log.f64 u1))) (*.f64 #s(literal 1/6 binary64) (pow.f64 #s(literal 16 binary64) #s(literal 1/8 binary64))))
1
#s(literal 1 binary64)
(+ 1 (* -2 (* (pow u2 2) (pow (PI) 2))))
(fma.f64 u2 (*.f64 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 (PI.f64) (*.f64 #s(literal 2 binary64) u2)))
(cos (* 2 (* u2 (PI))))
(cos.f64 (*.f64 (PI.f64) (*.f64 #s(literal 2 binary64) u2)))
(cos (* 2 (* u2 (PI))))
(cos.f64 (*.f64 (PI.f64) (*.f64 #s(literal 2 binary64) u2)))
(cos (* 2 (* u2 (PI))))
(cos.f64 (*.f64 (PI.f64) (*.f64 #s(literal 2 binary64) u2)))
(cos (* 2 (* u2 (PI))))
(cos.f64 (*.f64 (PI.f64) (*.f64 #s(literal 2 binary64) u2)))
(cos (* 2 (* u2 (PI))))
(cos.f64 (*.f64 (PI.f64) (*.f64 #s(literal 2 binary64) u2)))
(cos (* 2 (* u2 (PI))))
(cos.f64 (*.f64 (PI.f64) (*.f64 #s(literal 2 binary64) u2)))
(cos (* 2 (* u2 (PI))))
(cos.f64 (*.f64 (PI.f64) (*.f64 #s(literal 2 binary64) u2)))
(* -2 (log u1))
(*.f64 (log.f64 u1) #s(literal -2 binary64))
(* -2 (log u1))
(*.f64 (log.f64 u1) #s(literal -2 binary64))
(* -2 (log u1))
(*.f64 (log.f64 u1) #s(literal -2 binary64))
(* -2 (log u1))
(*.f64 (log.f64 u1) #s(literal -2 binary64))
(* 2 (log (/ 1 u1)))
(*.f64 (log.f64 u1) #s(literal -2 binary64))
(* 2 (log (/ 1 u1)))
(*.f64 (log.f64 u1) #s(literal -2 binary64))
(* 2 (log (/ 1 u1)))
(*.f64 (log.f64 u1) #s(literal -2 binary64))
(* 2 (log (/ 1 u1)))
(*.f64 (log.f64 u1) #s(literal -2 binary64))
(* -2 (+ (log -1) (* -1 (log (/ -1 u1)))))
(*.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) u1))) #s(literal -2 binary64))
(* -2 (+ (log -1) (* -1 (log (/ -1 u1)))))
(*.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) u1))) #s(literal -2 binary64))
(* -2 (+ (log -1) (* -1 (log (/ -1 u1)))))
(*.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) u1))) #s(literal -2 binary64))
(* -2 (+ (log -1) (* -1 (log (/ -1 u1)))))
(*.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) u1))) #s(literal -2 binary64))
1
#s(literal 1 binary64)
(+ 1 (* -2 (* (pow u2 2) (pow (PI) 2))))
(fma.f64 u2 (*.f64 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 (PI.f64) (*.f64 #s(literal 2 binary64) u2)))
(cos (* 2 (* u2 (PI))))
(cos.f64 (*.f64 (PI.f64) (*.f64 #s(literal 2 binary64) u2)))
(cos (* 2 (* u2 (PI))))
(cos.f64 (*.f64 (PI.f64) (*.f64 #s(literal 2 binary64) u2)))
(cos (* 2 (* u2 (PI))))
(cos.f64 (*.f64 (PI.f64) (*.f64 #s(literal 2 binary64) u2)))
(cos (* 2 (* u2 (PI))))
(cos.f64 (*.f64 (PI.f64) (*.f64 #s(literal 2 binary64) u2)))
(cos (* 2 (* u2 (PI))))
(cos.f64 (*.f64 (PI.f64) (*.f64 #s(literal 2 binary64) u2)))
(cos (* 2 (* u2 (PI))))
(cos.f64 (*.f64 (PI.f64) (*.f64 #s(literal 2 binary64) u2)))
(cos (* 2 (* u2 (PI))))
(cos.f64 (*.f64 (PI.f64) (*.f64 #s(literal 2 binary64) u2)))
(* (sqrt (log u1)) (sqrt -2))
(*.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 #s(literal -2 binary64)))
(* (sqrt (log u1)) (sqrt -2))
(*.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 #s(literal -2 binary64)))
(* (sqrt (log u1)) (sqrt -2))
(*.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 #s(literal -2 binary64)))
(* (sqrt (log u1)) (sqrt -2))
(*.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 #s(literal -2 binary64)))
(* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1)))
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (log.f64 u1))) (sqrt.f64 #s(literal -2 binary64))))
(* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1)))
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (log.f64 u1))) (sqrt.f64 #s(literal -2 binary64))))
(* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1)))
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (log.f64 u1))) (sqrt.f64 #s(literal -2 binary64))))
(* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1)))
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.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 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) u1)))) (sqrt.f64 #s(literal -2 binary64)))
(* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))
(*.f64 (sqrt.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) u1)))) (sqrt.f64 #s(literal -2 binary64)))
(* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))
(*.f64 (sqrt.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) u1)))) (sqrt.f64 #s(literal -2 binary64)))
(* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))
(*.f64 (sqrt.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) u1)))) (sqrt.f64 #s(literal -2 binary64)))

eval350.0ms (2.6%)

Memory
34.5MiB live, 684.3MiB allocated
Compiler

Compiled 91 500 to 5 312 computations (94.2% saved)

prune226.0ms (1.7%)

Memory
9.5MiB live, 399.0MiB allocated
Pruning

20 alts after pruning (20 fresh and 0 done)

PrunedKeptTotal
New2 287192 306
Fresh11112
Picked505
Done000
Total2 303202 323
Accuracy
100.0%
Counts
2 323 → 20
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶98.4%
(fma.f64 (pow.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)) #s(literal 1/4 binary64)) (*.f64 #s(literal 1/6 binary64) (pow.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)) #s(literal 1/4 binary64))) #s(literal 1/2 binary64))
98.6%
(fma.f64 (pow.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)) #s(literal 1/8 binary64)) (*.f64 #s(literal 1/6 binary64) (pow.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)) #s(literal 3/8 binary64))) #s(literal 1/2 binary64))
▶99.4%
(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))
98.6%
(fma.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)) #s(literal 1/8 binary64))) (pow.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)) #s(literal 3/8 binary64)) #s(literal 1/2 binary64))
▶98.7%
(fma.f64 (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal 1/6 binary64) #s(literal 1/2 binary64))
99.1%
(/.f64 (fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))))) (*.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)) #s(literal 1/36 binary64)) #s(literal -1/4 binary64)) (fma.f64 (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))) (*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))) #s(literal -1/2 binary64)))
98.7%
(/.f64 (fma.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)) (fma.f64 (*.f64 (*.f64 u2 u2) #s(literal -1/9 binary64)) (*.f64 (PI.f64) (PI.f64)) #s(literal 1/36 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)))
▶98.4%
(/.f64 (fma.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) (fma.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal -1/2 binary64)))
99.3%
(/.f64 (fma.f64 (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))) (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)))) (*.f64 (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))) (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)))) #s(literal 1/36 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)))
98.4%
(/.f64 (fma.f64 #s(literal 1/216 binary64) (pow.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)) #s(literal 3/2 binary64)) #s(literal 1/8 binary64)) (-.f64 (fma.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)) #s(literal 1/36 binary64) #s(literal 1/4 binary64)) (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal 1/12 binary64))))
98.4%
(/.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)) #s(literal 1/36 binary64))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))))))
98.4%
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)) #s(literal 1/36 binary64)) #s(literal 2 binary64)) #s(literal 1/16 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)) #s(literal 1/36 binary64) #s(literal 1/4 binary64)) (fma.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal -1/2 binary64))))
98.4%
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))))) (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)) #s(literal 1/36 binary64)))))
98.5%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal 1/2 binary64))))
▶98.5%
(-.f64 (/.f64 (*.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)) #s(literal 1/36 binary64)) (fma.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal -1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal -1/2 binary64))))
99.1%
(+.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) (*.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (log.f64 u1))) (sqrt.f64 #s(literal 2 binary64)))) (fma.f64 u2 (*.f64 u2 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal -2 binary64))) #s(literal 1 binary64))) #s(literal 1/2 binary64))
98.8%
(+.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) (*.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (log.f64 u1))) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64))
98.4%
(*.f64 (fma.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal -1/2 binary64))))
98.4%
(*.f64 (fma.f64 #s(literal 1/216 binary64) (pow.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)) #s(literal 3/2 binary64)) #s(literal 1/8 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)) #s(literal 1/36 binary64) #s(literal 1/4 binary64)) (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal 1/12 binary64)))))
99.1%
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))) (*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))) #s(literal 1/2 binary64)))) #s(literal -1 binary64)))
Compiler

Compiled 952 to 678 computations (28.8% saved)

simplify168.0ms (1.2%)

Memory
-5.2MiB live, 130.8MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
✓cost-diff-64
(*.f64 (log.f64 u1) #s(literal -2 binary64))
✓cost-diff0
(log.f64 u1)
✓cost-diff0
(pow.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)) #s(literal 1/4 binary64))
✓cost-diff19456
(fma.f64 (pow.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)) #s(literal 1/4 binary64)) (*.f64 #s(literal 1/6 binary64) (pow.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)) #s(literal 1/4 binary64))) #s(literal 1/2 binary64))
✓cost-diff0
(log.f64 u1)
✓cost-diff0
(/.f64 (*.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)) #s(literal 1/36 binary64)) (fma.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal -1/2 binary64)))
✓cost-diff320
(*.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)) #s(literal 1/36 binary64))
✓cost-diff8704
(-.f64 (/.f64 (*.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)) #s(literal 1/36 binary64)) (fma.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal -1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal -1/2 binary64))))
✓cost-diff0
(fma.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal -1/2 binary64))
✓cost-diff0
(log.f64 u1)
✓cost-diff0
(/.f64 (fma.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) (fma.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal -1/2 binary64)))
✓cost-diff384
(fma.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)) #s(literal 1/36 binary64) #s(literal -1/4 binary64))
✓cost-diff-64
(*.f64 (log.f64 u1) #s(literal -2 binary64))
✓cost-diff0
(log.f64 u1)
✓cost-diff0
(sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)))
✓cost-diff0
(fma.f64 (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal 1/6 binary64) #s(literal 1/2 binary64))
✓cost-diff0
(cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))
✓cost-diff0
(log.f64 u1)
✓cost-diff0
(sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)))
✓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
1 528×accelerator-lowering-fma.f32
1 528×accelerator-lowering-fma.f64
1 136×*-lowering-*.f32
1 136×*-lowering-*.f64
938×associate-*r*
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
036232
164232
2105232
3140232
4212232
5379232
6593232
71000232
81650232
91888232
102080232
112395232
122565232
132835232
142870232
152883232
162885232
172885232
183075232
194408232
204408232
04408220
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 (* (log u1) -2)) 1/6) 1/2)
(sqrt (* (log u1) -2))
(* (log u1) -2)
(log u1)
u1
-2
1/6
1/2
(/ (+ (* (* (log u1) -2) 1/36) -1/4) (+ (* 1/6 (sqrt (* (log u1) -2))) -1/2))
(+ (* (* (log u1) -2) 1/36) -1/4)
(* (log u1) -2)
(log u1)
u1
-2
1/36
-1/4
(+ (* 1/6 (sqrt (* (log u1) -2))) -1/2)
1/6
(sqrt (* (log u1) -2))
-1/2
(- (/ (* (* (log u1) -2) 1/36) (+ (* 1/6 (sqrt (* (log u1) -2))) -1/2)) (/ 1/4 (+ (* 1/6 (sqrt (* (log u1) -2))) -1/2)))
(/ (* (* (log u1) -2) 1/36) (+ (* 1/6 (sqrt (* (log u1) -2))) -1/2))
(* (* (log u1) -2) 1/36)
(* (log u1) -2)
(log u1)
u1
-2
1/36
(+ (* 1/6 (sqrt (* (log u1) -2))) -1/2)
1/6
(sqrt (* (log u1) -2))
-1/2
(/ 1/4 (+ (* 1/6 (sqrt (* (log u1) -2))) -1/2))
1/4
(+ (* (pow (* (log u1) -2) 1/4) (* 1/6 (pow (* (log u1) -2) 1/4))) 1/2)
(pow (* (log u1) -2) 1/4)
(* (log u1) -2)
(log u1)
u1
-2
1/4
(* 1/6 (pow (* (log u1) -2) 1/4))
1/6
1/2
Outputs
(+ (* (* (sqrt (* -2 (log u1))) 1/6) (cos (* 2 (* (PI) u2)))) 1/2)
(fma.f64 (sqrt.f64 (fma.f64 #s(literal -2 binary64) (log.f64 u1) #s(literal 0 binary64))) (fma.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 u2 (*.f64 #s(literal 2 binary64) (PI.f64)))) #s(literal 0 binary64)) #s(literal 1/2 binary64))
(* (sqrt (* -2 (log u1))) 1/6)
(fma.f64 (sqrt.f64 (fma.f64 #s(literal -2 binary64) (log.f64 u1) #s(literal 0 binary64))) #s(literal 1/6 binary64) #s(literal 0 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)
(cos (* 2 (* (PI) u2)))
(cos.f64 (*.f64 u2 (*.f64 #s(literal 2 binary64) (PI.f64))))
(* 2 (* (PI) u2))
(*.f64 u2 (*.f64 #s(literal 2 binary64) (PI.f64)))
2
#s(literal 2 binary64)
(* (PI) u2)
(*.f64 (PI.f64) u2)
(PI)
(PI.f64)
u2
1/2
#s(literal 1/2 binary64)
(+ (* (sqrt (* (log u1) -2)) 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 (* (log u1) -2))
(sqrt.f64 (fma.f64 #s(literal -2 binary64) (log.f64 u1) #s(literal 0 binary64)))
(* (log u1) -2)
(fma.f64 #s(literal -2 binary64) (log.f64 u1) #s(literal 0 binary64))
(log u1)
(log.f64 u1)
u1
-2
#s(literal -2 binary64)
1/6
#s(literal 1/6 binary64)
1/2
#s(literal 1/2 binary64)
(/ (+ (* (* (log u1) -2) 1/36) -1/4) (+ (* 1/6 (sqrt (* (log u1) -2))) -1/2))
(/.f64 (fma.f64 #s(literal -1/18 binary64) (log.f64 u1) #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) -2) 1/36) -1/4)
(fma.f64 #s(literal -1/18 binary64) (log.f64 u1) #s(literal -1/4 binary64))
(* (log u1) -2)
(fma.f64 #s(literal -2 binary64) (log.f64 u1) #s(literal 0 binary64))
(log u1)
(log.f64 u1)
u1
-2
#s(literal -2 binary64)
1/36
#s(literal 1/36 binary64)
-1/4
#s(literal -1/4 binary64)
(+ (* 1/6 (sqrt (* (log u1) -2))) -1/2)
(fma.f64 (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))
1/6
#s(literal 1/6 binary64)
(sqrt (* (log u1) -2))
(sqrt.f64 (fma.f64 #s(literal -2 binary64) (log.f64 u1) #s(literal 0 binary64)))
-1/2
#s(literal -1/2 binary64)
(- (/ (* (* (log u1) -2) 1/36) (+ (* 1/6 (sqrt (* (log u1) -2))) -1/2)) (/ 1/4 (+ (* 1/6 (sqrt (* (log u1) -2))) -1/2)))
(/.f64 (fma.f64 #s(literal -1/18 binary64) (log.f64 u1) #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) -2) 1/36) (+ (* 1/6 (sqrt (* (log u1) -2))) -1/2))
(/.f64 (fma.f64 #s(literal -1/18 binary64) (log.f64 u1) #s(literal 0 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) -2) 1/36)
(fma.f64 #s(literal -1/18 binary64) (log.f64 u1) #s(literal 0 binary64))
(* (log u1) -2)
(fma.f64 #s(literal -2 binary64) (log.f64 u1) #s(literal 0 binary64))
(log u1)
(log.f64 u1)
u1
-2
#s(literal -2 binary64)
1/36
#s(literal 1/36 binary64)
(+ (* 1/6 (sqrt (* (log u1) -2))) -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))
1/6
#s(literal 1/6 binary64)
(sqrt (* (log u1) -2))
(sqrt.f64 (fma.f64 #s(literal -2 binary64) (log.f64 u1) #s(literal 0 binary64)))
-1/2
#s(literal -1/2 binary64)
(/ 1/4 (+ (* 1/6 (sqrt (* (log u1) -2))) -1/2))
(/.f64 #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)))
1/4
#s(literal 1/4 binary64)
(+ (* (pow (* (log u1) -2) 1/4) (* 1/6 (pow (* (log u1) -2) 1/4))) 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))
(pow (* (log u1) -2) 1/4)
(pow.f64 (fma.f64 #s(literal -2 binary64) (log.f64 u1) #s(literal 0 binary64)) #s(literal 1/4 binary64))
(* (log u1) -2)
(fma.f64 #s(literal -2 binary64) (log.f64 u1) #s(literal 0 binary64))
(log u1)
(log.f64 u1)
u1
-2
#s(literal -2 binary64)
1/4
#s(literal 1/4 binary64)
(* 1/6 (pow (* (log u1) -2) 1/4))
(fma.f64 #s(literal 1/6 binary64) (pow.f64 (fma.f64 #s(literal -2 binary64) (log.f64 u1) #s(literal 0 binary64)) #s(literal 1/4 binary64)) #s(literal 0 binary64))
1/6
#s(literal 1/6 binary64)
1/2
#s(literal 1/2 binary64)

localize158.0ms (1.2%)

Memory
-20.3MiB live, 249.3MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(log.f64 u1)
✓accuracy100.0%
(pow.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)) #s(literal 1/4 binary64))
✓accuracy99.5%
(fma.f64 (pow.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)) #s(literal 1/4 binary64)) (*.f64 #s(literal 1/6 binary64) (pow.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)) #s(literal 1/4 binary64))) #s(literal 1/2 binary64))
✓accuracy99.3%
(*.f64 #s(literal 1/6 binary64) (pow.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)) #s(literal 1/4 binary64)))
✓accuracy99.5%
(/.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal -1/2 binary64)))
✓accuracy99.5%
(*.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)) #s(literal 1/36 binary64))
✓accuracy99.4%
(/.f64 (*.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)) #s(literal 1/36 binary64)) (fma.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal -1/2 binary64)))
✓accuracy99.2%
(fma.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal -1/2 binary64))
✓accuracy99.8%
(sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)))
✓accuracy99.5%
(fma.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)) #s(literal 1/36 binary64) #s(literal -1/4 binary64))
✓accuracy99.2%
(/.f64 (fma.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) (fma.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal -1/2 binary64)))
✓accuracy99.2%
(fma.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal -1/2 binary64))
✓accuracy100.0%
(*.f64 (log.f64 u1) #s(literal -2 binary64))
✓accuracy100.0%
(log.f64 u1)
✓accuracy99.8%
(sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)))
✓accuracy99.4%
(fma.f64 (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal 1/6 binary64) #s(literal 1/2 binary64))
✓accuracy100.0%
(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)))
✓accuracy99.6%
(*.f64 (PI.f64) u2)
✓accuracy99.3%
(*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal 1/6 binary64))
Samples
90.0ms256×0valid
Compiler

Compiled 250 to 38 computations (84.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 63.0ms
ival-mult: 25.0ms (39.7% of total)
const: 7.0ms (11.1% of total)
ival-div: 6.0ms (9.5% of total)
ival-add: 6.0ms (9.5% of total)
ival-pow: 5.0ms (7.9% of total)
ival-log: 4.0ms (6.4% of total)
ival-sub: 3.0ms (4.8% of total)
ival-sqrt: 3.0ms (4.8% of total)
ival-cos: 2.0ms (3.2% of total)
ival-pi: 1.0ms (1.6% of total)
exact: 1.0ms (1.6% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series67.0ms (0.5%)

Memory
22.5MiB live, 96.6MiB allocated
Counts
19 → 240
Calls
Call 1
Inputs
#<alt (+ (* (* (sqrt (* -2 (log u1))) 1/6) (cos (* 2 (* (PI) u2)))) 1/2)>
#<alt (sqrt (* -2 (log u1)))>
#<alt (log u1)>
#<alt (cos (* 2 (* (PI) u2)))>
#<alt (+ (* (sqrt (* (log u1) -2)) 1/6) 1/2)>
#<alt (sqrt (* (log u1) -2))>
#<alt (* (log u1) -2)>
#<alt (+ (* (* (log u1) -2) 1/36) -1/4)>
#<alt (/ (+ (* (* (log u1) -2) 1/36) -1/4) (+ (* 1/6 (sqrt (* (log u1) -2))) -1/2))>
#<alt (+ (* 1/6 (sqrt (* (log u1) -2))) -1/2)>
#<alt (- (/ (* (* (log u1) -2) 1/36) (+ (* 1/6 (sqrt (* (log u1) -2))) -1/2)) (/ 1/4 (+ (* 1/6 (sqrt (* (log u1) -2))) -1/2)))>
#<alt (* (* (log u1) -2) 1/36)>
#<alt (/ (* (* (log u1) -2) 1/36) (+ (* 1/6 (sqrt (* (log u1) -2))) -1/2))>
#<alt (+ (* (pow (* (log u1) -2) 1/4) (* 1/6 (pow (* (log u1) -2) 1/4))) 1/2)>
#<alt (pow (* (log u1) -2) 1/4)>
#<alt (* (sqrt (* -2 (log u1))) 1/6)>
#<alt (* (PI) u2)>
#<alt (/ 1/4 (+ (* 1/6 (sqrt (* (log u1) -2))) -1/2))>
#<alt (* 1/6 (pow (* (log u1) -2) 1/4))>
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 (* (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>
#<alt (+ 1 (* -2 (* (pow u2 2) (pow (PI) 2))))>
#<alt (+ 1 (* (pow u2 2) (+ (* -2 (pow (PI) 2)) (* 2/3 (* (pow u2 2) (pow (PI) 4))))))>
#<alt (+ 1 (* (pow u2 2) (+ (* -2 (pow (PI) 2)) (* (pow u2 2) (+ (* -4/45 (* (pow u2 2) (pow (PI) 6))) (* 2/3 (pow (PI) 4)))))))>
#<alt (cos (* 2 (* u2 (PI))))>
#<alt (cos (* 2 (* u2 (PI))))>
#<alt (cos (* 2 (* u2 (PI))))>
#<alt (cos (* 2 (* u2 (PI))))>
#<alt (cos (* 2 (* u2 (PI))))>
#<alt (cos (* 2 (* u2 (PI))))>
#<alt (cos (* 2 (* u2 (PI))))>
#<alt (cos (* 2 (* u2 (PI))))>
#<alt (+ 1/2 (* 1/6 (* (sqrt (log u1)) (sqrt -2))))>
#<alt (+ 1/2 (* 1/6 (* (sqrt (log u1)) (sqrt -2))))>
#<alt (+ 1/2 (* 1/6 (* (sqrt (log u1)) (sqrt -2))))>
#<alt (+ 1/2 (* 1/6 (* (sqrt (log u1)) (sqrt -2))))>
#<alt (+ 1/2 (* 1/6 (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1)))))>
#<alt (+ 1/2 (* 1/6 (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1)))))>
#<alt (+ 1/2 (* 1/6 (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1)))))>
#<alt (+ 1/2 (* 1/6 (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1)))))>
#<alt (+ 1/2 (* 1/6 (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))))>
#<alt (+ 1/2 (* 1/6 (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))))>
#<alt (+ 1/2 (* 1/6 (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))))>
#<alt (+ 1/2 (* 1/6 (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))))>
#<alt (* (sqrt (log u1)) (sqrt -2))>
#<alt (* (sqrt (log u1)) (sqrt -2))>
#<alt (* (sqrt (log u1)) (sqrt -2))>
#<alt (* (sqrt (log u1)) (sqrt -2))>
#<alt (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1)))>
#<alt (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1)))>
#<alt (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1)))>
#<alt (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1)))>
#<alt (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))>
#<alt (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))>
#<alt (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))>
#<alt (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))>
#<alt (* -2 (log u1))>
#<alt (* -2 (log u1))>
#<alt (* -2 (log u1))>
#<alt (* -2 (log u1))>
#<alt (* 2 (log (/ 1 u1)))>
#<alt (* 2 (log (/ 1 u1)))>
#<alt (* 2 (log (/ 1 u1)))>
#<alt (* 2 (log (/ 1 u1)))>
#<alt (* -2 (+ (log -1) (* -1 (log (/ -1 u1)))))>
#<alt (* -2 (+ (log -1) (* -1 (log (/ -1 u1)))))>
#<alt (* -2 (+ (log -1) (* -1 (log (/ -1 u1)))))>
#<alt (* -2 (+ (log -1) (* -1 (log (/ -1 u1)))))>
#<alt (- (* -1/18 (log u1)) 1/4)>
#<alt (- (* -1/18 (log u1)) 1/4)>
#<alt (- (* -1/18 (log u1)) 1/4)>
#<alt (- (* -1/18 (log u1)) 1/4)>
#<alt (- (* 1/18 (log (/ 1 u1))) 1/4)>
#<alt (- (* 1/18 (log (/ 1 u1))) 1/4)>
#<alt (- (* 1/18 (log (/ 1 u1))) 1/4)>
#<alt (- (* 1/18 (log (/ 1 u1))) 1/4)>
#<alt (- (* -1/18 (+ (log -1) (* -1 (log (/ -1 u1))))) 1/4)>
#<alt (- (* -1/18 (+ (log -1) (* -1 (log (/ -1 u1))))) 1/4)>
#<alt (- (* -1/18 (+ (log -1) (* -1 (log (/ -1 u1))))) 1/4)>
#<alt (- (* -1/18 (+ (log -1) (* -1 (log (/ -1 u1))))) 1/4)>
#<alt (/ (- (* -1/18 (log u1)) 1/4) (- (* 1/6 (* (sqrt (log u1)) (sqrt -2))) 1/2))>
#<alt (/ (- (* -1/18 (log u1)) 1/4) (- (* 1/6 (* (sqrt (log u1)) (sqrt -2))) 1/2))>
#<alt (/ (- (* -1/18 (log u1)) 1/4) (- (* 1/6 (* (sqrt (log u1)) (sqrt -2))) 1/2))>
#<alt (/ (- (* -1/18 (log u1)) 1/4) (- (* 1/6 (* (sqrt (log u1)) (sqrt -2))) 1/2))>
#<alt (/ (- (* 1/18 (log (/ 1 u1))) 1/4) (- (* 1/6 (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1)))) 1/2))>
#<alt (/ (- (* 1/18 (log (/ 1 u1))) 1/4) (- (* 1/6 (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1)))) 1/2))>
#<alt (/ (- (* 1/18 (log (/ 1 u1))) 1/4) (- (* 1/6 (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1)))) 1/2))>
#<alt (/ (- (* 1/18 (log (/ 1 u1))) 1/4) (- (* 1/6 (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1)))) 1/2))>
#<alt (/ (- (* -1/18 (+ (log -1) (* -1 (log (/ -1 u1))))) 1/4) (- (* 1/6 (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))) 1/2))>
#<alt (/ (- (* -1/18 (+ (log -1) (* -1 (log (/ -1 u1))))) 1/4) (- (* 1/6 (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))) 1/2))>
#<alt (/ (- (* -1/18 (+ (log -1) (* -1 (log (/ -1 u1))))) 1/4) (- (* 1/6 (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))) 1/2))>
#<alt (/ (- (* -1/18 (+ (log -1) (* -1 (log (/ -1 u1))))) 1/4) (- (* 1/6 (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))) 1/2))>
#<alt (- (* 1/6 (* (sqrt (log u1)) (sqrt -2))) 1/2)>
#<alt (- (* 1/6 (* (sqrt (log u1)) (sqrt -2))) 1/2)>
#<alt (- (* 1/6 (* (sqrt (log u1)) (sqrt -2))) 1/2)>
#<alt (- (* 1/6 (* (sqrt (log u1)) (sqrt -2))) 1/2)>
#<alt (- (* 1/6 (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1)))) 1/2)>
#<alt (- (* 1/6 (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1)))) 1/2)>
#<alt (- (* 1/6 (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1)))) 1/2)>
#<alt (- (* 1/6 (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1)))) 1/2)>
#<alt (- (* 1/6 (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))) 1/2)>
#<alt (- (* 1/6 (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))) 1/2)>
#<alt (- (* 1/6 (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))) 1/2)>
#<alt (- (* 1/6 (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))) 1/2)>
#<alt (- (* -1/18 (/ (log u1) (- (* 1/6 (* (sqrt (log u1)) (sqrt -2))) 1/2))) (* 1/4 (/ 1 (- (* 1/6 (* (sqrt (log u1)) (sqrt -2))) 1/2))))>
#<alt (- (* -1/18 (/ (log u1) (- (* 1/6 (* (sqrt (log u1)) (sqrt -2))) 1/2))) (* 1/4 (/ 1 (- (* 1/6 (* (sqrt (log u1)) (sqrt -2))) 1/2))))>
#<alt (- (* -1/18 (/ (log u1) (- (* 1/6 (* (sqrt (log u1)) (sqrt -2))) 1/2))) (* 1/4 (/ 1 (- (* 1/6 (* (sqrt (log u1)) (sqrt -2))) 1/2))))>
#<alt (- (* -1/18 (/ (log u1) (- (* 1/6 (* (sqrt (log u1)) (sqrt -2))) 1/2))) (* 1/4 (/ 1 (- (* 1/6 (* (sqrt (log u1)) (sqrt -2))) 1/2))))>
#<alt (- (* 1/18 (/ (log (/ 1 u1)) (- (* 1/6 (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1)))) 1/2))) (* 1/4 (/ 1 (- (* 1/6 (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1)))) 1/2))))>
#<alt (- (* 1/18 (/ (log (/ 1 u1)) (- (* 1/6 (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1)))) 1/2))) (* 1/4 (/ 1 (- (* 1/6 (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1)))) 1/2))))>
#<alt (- (* 1/18 (/ (log (/ 1 u1)) (- (* 1/6 (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1)))) 1/2))) (* 1/4 (/ 1 (- (* 1/6 (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1)))) 1/2))))>
#<alt (- (* 1/18 (/ (log (/ 1 u1)) (- (* 1/6 (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1)))) 1/2))) (* 1/4 (/ 1 (- (* 1/6 (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1)))) 1/2))))>
#<alt (- (* -1/18 (/ (+ (log -1) (* -1 (log (/ -1 u1)))) (- (* 1/6 (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))) 1/2))) (* 1/4 (/ 1 (- (* 1/6 (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))) 1/2))))>
#<alt (- (* -1/18 (/ (+ (log -1) (* -1 (log (/ -1 u1)))) (- (* 1/6 (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))) 1/2))) (* 1/4 (/ 1 (- (* 1/6 (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))) 1/2))))>
#<alt (- (* -1/18 (/ (+ (log -1) (* -1 (log (/ -1 u1)))) (- (* 1/6 (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))) 1/2))) (* 1/4 (/ 1 (- (* 1/6 (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))) 1/2))))>
#<alt (- (* -1/18 (/ (+ (log -1) (* -1 (log (/ -1 u1)))) (- (* 1/6 (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))) 1/2))) (* 1/4 (/ 1 (- (* 1/6 (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))) 1/2))))>
#<alt (* -1/18 (log u1))>
#<alt (* -1/18 (log u1))>
#<alt (* -1/18 (log u1))>
#<alt (* -1/18 (log u1))>
#<alt (* 1/18 (log (/ 1 u1)))>
#<alt (* 1/18 (log (/ 1 u1)))>
#<alt (* 1/18 (log (/ 1 u1)))>
#<alt (* 1/18 (log (/ 1 u1)))>
#<alt (* -1/18 (+ (log -1) (* -1 (log (/ -1 u1)))))>
#<alt (* -1/18 (+ (log -1) (* -1 (log (/ -1 u1)))))>
#<alt (* -1/18 (+ (log -1) (* -1 (log (/ -1 u1)))))>
#<alt (* -1/18 (+ (log -1) (* -1 (log (/ -1 u1)))))>
#<alt (* -1/18 (/ (log u1) (- (* 1/6 (* (sqrt (log u1)) (sqrt -2))) 1/2)))>
#<alt (* -1/18 (/ (log u1) (- (* 1/6 (* (sqrt (log u1)) (sqrt -2))) 1/2)))>
#<alt (* -1/18 (/ (log u1) (- (* 1/6 (* (sqrt (log u1)) (sqrt -2))) 1/2)))>
#<alt (* -1/18 (/ (log u1) (- (* 1/6 (* (sqrt (log u1)) (sqrt -2))) 1/2)))>
#<alt (* 1/18 (/ (log (/ 1 u1)) (- (* 1/6 (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1)))) 1/2)))>
#<alt (* 1/18 (/ (log (/ 1 u1)) (- (* 1/6 (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1)))) 1/2)))>
#<alt (* 1/18 (/ (log (/ 1 u1)) (- (* 1/6 (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1)))) 1/2)))>
#<alt (* 1/18 (/ (log (/ 1 u1)) (- (* 1/6 (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1)))) 1/2)))>
#<alt (* -1/18 (/ (+ (log -1) (* -1 (log (/ -1 u1)))) (- (* 1/6 (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))) 1/2)))>
#<alt (* -1/18 (/ (+ (log -1) (* -1 (log (/ -1 u1)))) (- (* 1/6 (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))) 1/2)))>
#<alt (* -1/18 (/ (+ (log -1) (* -1 (log (/ -1 u1)))) (- (* 1/6 (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))) 1/2)))>
#<alt (* -1/18 (/ (+ (log -1) (* -1 (log (/ -1 u1)))) (- (* 1/6 (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))) 1/2)))>
#<alt (+ 1/2 (* 1/6 (* (sqrt (log u1)) (sqrt -2))))>
#<alt (+ 1/2 (* 1/6 (* (sqrt (log u1)) (sqrt -2))))>
#<alt (+ 1/2 (* 1/6 (* (sqrt (log u1)) (sqrt -2))))>
#<alt (+ 1/2 (* 1/6 (* (sqrt (log u1)) (sqrt -2))))>
#<alt (+ 1/2 (* 1/6 (* (sqrt (log (/ 1 u1))) (sqrt 2))))>
#<alt (+ 1/2 (* 1/6 (* (sqrt (log (/ 1 u1))) (sqrt 2))))>
#<alt (+ 1/2 (* 1/6 (* (sqrt (log (/ 1 u1))) (sqrt 2))))>
#<alt (+ 1/2 (* 1/6 (* (sqrt (log (/ 1 u1))) (sqrt 2))))>
#<alt (+ 1/2 (* 1/6 (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))))>
#<alt (+ 1/2 (* 1/6 (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))))>
#<alt (+ 1/2 (* 1/6 (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))))>
#<alt (+ 1/2 (* 1/6 (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))))>
#<alt (pow (* -2 (log u1)) 1/4)>
#<alt (pow (* -2 (log u1)) 1/4)>
#<alt (pow (* -2 (log u1)) 1/4)>
#<alt (pow (* -2 (log u1)) 1/4)>
#<alt (pow (* 2 (log (/ 1 u1))) 1/4)>
#<alt (pow (* 2 (log (/ 1 u1))) 1/4)>
#<alt (pow (* 2 (log (/ 1 u1))) 1/4)>
#<alt (pow (* 2 (log (/ 1 u1))) 1/4)>
#<alt (pow (* -2 (+ (log -1) (* -1 (log (/ -1 u1))))) 1/4)>
#<alt (pow (* -2 (+ (log -1) (* -1 (log (/ -1 u1))))) 1/4)>
#<alt (pow (* -2 (+ (log -1) (* -1 (log (/ -1 u1))))) 1/4)>
#<alt (pow (* -2 (+ (log -1) (* -1 (log (/ -1 u1))))) 1/4)>
#<alt (* 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 (* 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 (/ 1/4 (- (* 1/6 (* (sqrt (log u1)) (sqrt -2))) 1/2))>
#<alt (/ 1/4 (- (* 1/6 (* (sqrt (log u1)) (sqrt -2))) 1/2))>
#<alt (/ 1/4 (- (* 1/6 (* (sqrt (log u1)) (sqrt -2))) 1/2))>
#<alt (/ 1/4 (- (* 1/6 (* (sqrt (log u1)) (sqrt -2))) 1/2))>
#<alt (/ 1/4 (- (* 1/6 (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1)))) 1/2))>
#<alt (/ 1/4 (- (* 1/6 (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1)))) 1/2))>
#<alt (/ 1/4 (- (* 1/6 (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1)))) 1/2))>
#<alt (/ 1/4 (- (* 1/6 (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1)))) 1/2))>
#<alt (/ 1/4 (- (* 1/6 (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))) 1/2))>
#<alt (/ 1/4 (- (* 1/6 (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))) 1/2))>
#<alt (/ 1/4 (- (* 1/6 (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))) 1/2))>
#<alt (/ 1/4 (- (* 1/6 (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))) 1/2))>
#<alt (* 1/6 (pow (* -2 (log u1)) 1/4))>
#<alt (* 1/6 (pow (* -2 (log u1)) 1/4))>
#<alt (* 1/6 (pow (* -2 (log u1)) 1/4))>
#<alt (* 1/6 (pow (* -2 (log u1)) 1/4))>
#<alt (* 1/6 (pow (* 2 (log (/ 1 u1))) 1/4))>
#<alt (* 1/6 (pow (* 2 (log (/ 1 u1))) 1/4))>
#<alt (* 1/6 (pow (* 2 (log (/ 1 u1))) 1/4))>
#<alt (* 1/6 (pow (* 2 (log (/ 1 u1))) 1/4))>
#<alt (* 1/6 (pow (* -2 (+ (log -1) (* -1 (log (/ -1 u1))))) 1/4))>
#<alt (* 1/6 (pow (* -2 (+ (log -1) (* -1 (log (/ -1 u1))))) 1/4))>
#<alt (* 1/6 (pow (* -2 (+ (log -1) (* -1 (log (/ -1 u1))))) 1/4))>
#<alt (* 1/6 (pow (* -2 (+ (log -1) (* -1 (log (/ -1 u1))))) 1/4))>
Calls

60 calls:

TimeVariablePointExpression
19.0ms
u1
@-inf
(pow (* (log u1) -2) 1/4)
17.0ms
u1
@0
(pow (* (log u1) -2) 1/4)
14.0ms
u1
@inf
(pow (* (log u1) -2) 1/4)
2.0ms
u1
@-inf
(- (/ (* (* (log u1) -2) 1/36) (+ (* 1/6 (sqrt (* (log u1) -2))) -1/2)) (/ 1/4 (+ (* 1/6 (sqrt (* (log u1) -2))) -1/2)))
2.0ms
u1
@inf
(- (/ (* (* (log u1) -2) 1/36) (+ (* 1/6 (sqrt (* (log u1) -2))) -1/2)) (/ 1/4 (+ (* 1/6 (sqrt (* (log u1) -2))) -1/2)))

rewrite591.0ms (4.4%)

Memory
-9.2MiB live, 877.1MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
4 582×/-lowering-/.f32
4 582×/-lowering-/.f64
4 380×*-lowering-*.f32
4 380×*-lowering-*.f64
3 666×accelerator-lowering-fma.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
036142
1201142
21552142
08351133
Stop Event
1×iter limit
1×node limit
Counts
19 → 1 314
Calls
Call 1
Inputs
(+ (* (* (sqrt (* -2 (log u1))) 1/6) (cos (* 2 (* (PI) u2)))) 1/2)
(sqrt (* -2 (log u1)))
(log u1)
(cos (* 2 (* (PI) u2)))
(+ (* (sqrt (* (log u1) -2)) 1/6) 1/2)
(sqrt (* (log u1) -2))
(* (log u1) -2)
(+ (* (* (log u1) -2) 1/36) -1/4)
(/ (+ (* (* (log u1) -2) 1/36) -1/4) (+ (* 1/6 (sqrt (* (log u1) -2))) -1/2))
(+ (* 1/6 (sqrt (* (log u1) -2))) -1/2)
(- (/ (* (* (log u1) -2) 1/36) (+ (* 1/6 (sqrt (* (log u1) -2))) -1/2)) (/ 1/4 (+ (* 1/6 (sqrt (* (log u1) -2))) -1/2)))
(* (* (log u1) -2) 1/36)
(/ (* (* (log u1) -2) 1/36) (+ (* 1/6 (sqrt (* (log u1) -2))) -1/2))
(+ (* (pow (* (log u1) -2) 1/4) (* 1/6 (pow (* (log u1) -2) 1/4))) 1/2)
(pow (* (log u1) -2) 1/4)
(* (sqrt (* -2 (log u1))) 1/6)
(* (PI) u2)
(/ 1/4 (+ (* 1/6 (sqrt (* (log u1) -2))) -1/2))
(* 1/6 (pow (* (log u1) -2) 1/4))
Outputs
(+.f64 (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))) (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal 1/6 binary64))) #s(literal 1/2 binary64))
(+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))) (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal 1/6 binary64))))
(-.f64 (/.f64 (*.f64 (*.f64 (log.f64 u1) #s(literal -1/18 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 (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))) (/.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 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))) (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal 1/6 binary64))))) (/.f64 (*.f64 (*.f64 (log.f64 u1) #s(literal -1/18 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))))))) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))) (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal 1/6 binary64))))))
(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 (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 (*.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 (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 (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 (*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal 1/2 binary64))
(fma.f64 (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)))) #s(literal 1/6 binary64) #s(literal 1/2 binary64))
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(exp.f64 (*.f64 #s(literal 1/4 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 1/8 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 1/8 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal 1/8 binary64)) #s(literal 2 binary64)))
(exp.f64 (fma.f64 (log.f64 (log.f64 u1)) #s(literal 1/4 binary64) (*.f64 (log.f64 #s(literal -2 binary64)) #s(literal 1/4 binary64))))
(exp.f64 (fma.f64 (log.f64 #s(literal -2 binary64)) #s(literal 1/4 binary64) (*.f64 (log.f64 (log.f64 u1)) #s(literal 1/4 binary64))))
(exp.f64 (fma.f64 (log.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal 1/8 binary64) (*.f64 (log.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))
(pow.f64 (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/8 binary64)) #s(literal 2 binary64))
(pow.f64 (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 2 binary64)) #s(literal 1/8 binary64))
(pow.f64 (exp.f64 #s(literal 1/4 binary64)) (log.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))))
(*.f64 (pow.f64 (log.f64 u1) #s(literal 1/4 binary64)) (pow.f64 #s(literal -2 binary64) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 #s(literal -2 binary64) #s(literal 1/4 binary64)) (pow.f64 (log.f64 u1) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (*.f64 #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 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal 1/6 binary64))
(*.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))))
(*.f64 (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/4 binary64)) (*.f64 #s(literal 1/6 binary64) (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/4 binary64))))
(*.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/4 binary64))) (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (log.f64 u1) #s(literal 1/4 binary64)) (*.f64 (pow.f64 #s(literal -2 binary64) #s(literal 1/4 binary64)) (*.f64 #s(literal 1/6 binary64) (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/4 binary64)))))
(*.f64 (sqrt.f64 #s(literal -2 binary64)) (*.f64 (sqrt.f64 (log.f64 u1)) #s(literal 1/6 binary64)))
(*.f64 (sqrt.f64 (log.f64 u1)) (*.f64 (sqrt.f64 #s(literal -2 binary64)) #s(literal 1/6 binary64)))
(*.f64 (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/8 binary64)) (*.f64 (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/8 binary64)) (*.f64 #s(literal 1/6 binary64) (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/4 binary64)))))
(*.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/4 binary64))) (pow.f64 (log.f64 u1) #s(literal 1/4 binary64))) (pow.f64 #s(literal -2 binary64) #s(literal 1/4 binary64)))
(*.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/4 binary64))) (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/8 binary64))) (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/8 binary64)))
(*.f64 (*.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -2 binary64))) (sqrt.f64 (log.f64 u1)))
(*.f64 (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (log.f64 u1))) (sqrt.f64 #s(literal -2 binary64)))
(*.f64 (PI.f64) u2)
(*.f64 u2 (PI.f64))
(*.f64 #s(literal 1 binary64) (*.f64 (PI.f64) u2))
(*.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (*.f64 (cbrt.f64 (PI.f64)) u2))
(*.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) u2))
(*.f64 (*.f64 u2 #s(literal 1 binary64)) (PI.f64))
(*.f64 (*.f64 u2 (pow.f64 (PI.f64) #s(literal 2/3 binary64))) (cbrt.f64 (PI.f64)))
(*.f64 (*.f64 u2 (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)))
(exp.f64 (*.f64 (log.f64 (*.f64 (fma.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal 1/6 binary64) #s(literal -1/2 binary64)) #s(literal 4 binary64))) #s(literal -1 binary64)))
(neg.f64 (/.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 #s(literal -1/4 binary64) (-.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))))
(/.f64 #s(literal -1/4 binary64) (neg.f64 (neg.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))))))
(/.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 #s(literal 1/4 binary64) (neg.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)))))
(/.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)) #s(literal 4 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.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 4 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (*.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 4 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (*.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 4 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.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 4 binary64)) #s(literal 1 binary64))))
(pow.f64 (*.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 4 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 (*.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 4 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))
(*.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1 binary64) (-.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)))))
(*.f64 #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 #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 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 1/4 binary64))
(*.f64 (/.f64 #s(literal 1/4 binary64) (+.f64 (pow.f64 (*.f64 (log.f64 u1) #s(literal -1/18 binary64)) #s(literal 3/2 binary64)) #s(literal -1/8 binary64))) (-.f64 (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 #s(literal -1/4 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 1/6 binary64) (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/4 binary64)) #s(literal 1/6 binary64))
(*.f64 (pow.f64 (log.f64 u1) #s(literal 1/4 binary64)) (*.f64 (pow.f64 #s(literal -2 binary64) #s(literal 1/4 binary64)) #s(literal 1/6 binary64)))
(*.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)) #s(literal 1/6 binary64)))
(*.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 (log.f64 u1) #s(literal 1/4 binary64))) (pow.f64 #s(literal -2 binary64) #s(literal 1/4 binary64)))
(*.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 (*.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)))

simplify634.0ms (4.7%)

Memory
45.3MiB live, 1 004.4MiB allocated
Algorithm
1×egg-herbie
Rules
21 308×accelerator-lowering-fma.f32
21 308×accelerator-lowering-fma.f64
5 740×*-lowering-*.f32
5 740×*-lowering-*.f64
3 394×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01492978
13692890
210272864
331052850
441432847
560742847
669852847
779852847
082362691
Stop Event
1×iter limit
1×node limit
Counts
240 → 240
Calls
Call 1
Inputs
(+ 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)))))
(* (sqrt (log u1)) (sqrt -2))
(* (sqrt (log u1)) (sqrt -2))
(* (sqrt (log u1)) (sqrt -2))
(* (sqrt (log u1)) (sqrt -2))
(* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1)))
(* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1)))
(* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1)))
(* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1)))
(* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))
(* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))
(* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))
(* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))
(log u1)
(log u1)
(log u1)
(log u1)
(* -1 (log (/ 1 u1)))
(* -1 (log (/ 1 u1)))
(* -1 (log (/ 1 u1)))
(* -1 (log (/ 1 u1)))
(+ (log -1) (* -1 (log (/ -1 u1))))
(+ (log -1) (* -1 (log (/ -1 u1))))
(+ (log -1) (* -1 (log (/ -1 u1))))
(+ (log -1) (* -1 (log (/ -1 u1))))
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))))
(+ 1/2 (* 1/6 (* (sqrt (log u1)) (sqrt -2))))
(+ 1/2 (* 1/6 (* (sqrt (log u1)) (sqrt -2))))
(+ 1/2 (* 1/6 (* (sqrt (log u1)) (sqrt -2))))
(+ 1/2 (* 1/6 (* (sqrt (log u1)) (sqrt -2))))
(+ 1/2 (* 1/6 (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1)))))
(+ 1/2 (* 1/6 (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1)))))
(+ 1/2 (* 1/6 (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1)))))
(+ 1/2 (* 1/6 (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1)))))
(+ 1/2 (* 1/6 (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))))
(+ 1/2 (* 1/6 (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))))
(+ 1/2 (* 1/6 (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))))
(+ 1/2 (* 1/6 (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))))
(* (sqrt (log u1)) (sqrt -2))
(* (sqrt (log u1)) (sqrt -2))
(* (sqrt (log u1)) (sqrt -2))
(* (sqrt (log u1)) (sqrt -2))
(* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1)))
(* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1)))
(* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1)))
(* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1)))
(* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))
(* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))
(* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))
(* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))
(* -2 (log u1))
(* -2 (log u1))
(* -2 (log u1))
(* -2 (log u1))
(* 2 (log (/ 1 u1)))
(* 2 (log (/ 1 u1)))
(* 2 (log (/ 1 u1)))
(* 2 (log (/ 1 u1)))
(* -2 (+ (log -1) (* -1 (log (/ -1 u1)))))
(* -2 (+ (log -1) (* -1 (log (/ -1 u1)))))
(* -2 (+ (log -1) (* -1 (log (/ -1 u1)))))
(* -2 (+ (log -1) (* -1 (log (/ -1 u1)))))
(- (* -1/18 (log u1)) 1/4)
(- (* -1/18 (log u1)) 1/4)
(- (* -1/18 (log u1)) 1/4)
(- (* -1/18 (log u1)) 1/4)
(- (* 1/18 (log (/ 1 u1))) 1/4)
(- (* 1/18 (log (/ 1 u1))) 1/4)
(- (* 1/18 (log (/ 1 u1))) 1/4)
(- (* 1/18 (log (/ 1 u1))) 1/4)
(- (* -1/18 (+ (log -1) (* -1 (log (/ -1 u1))))) 1/4)
(- (* -1/18 (+ (log -1) (* -1 (log (/ -1 u1))))) 1/4)
(- (* -1/18 (+ (log -1) (* -1 (log (/ -1 u1))))) 1/4)
(- (* -1/18 (+ (log -1) (* -1 (log (/ -1 u1))))) 1/4)
(/ (- (* -1/18 (log u1)) 1/4) (- (* 1/6 (* (sqrt (log u1)) (sqrt -2))) 1/2))
(/ (- (* -1/18 (log u1)) 1/4) (- (* 1/6 (* (sqrt (log u1)) (sqrt -2))) 1/2))
(/ (- (* -1/18 (log u1)) 1/4) (- (* 1/6 (* (sqrt (log u1)) (sqrt -2))) 1/2))
(/ (- (* -1/18 (log u1)) 1/4) (- (* 1/6 (* (sqrt (log u1)) (sqrt -2))) 1/2))
(/ (- (* 1/18 (log (/ 1 u1))) 1/4) (- (* 1/6 (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1)))) 1/2))
(/ (- (* 1/18 (log (/ 1 u1))) 1/4) (- (* 1/6 (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1)))) 1/2))
(/ (- (* 1/18 (log (/ 1 u1))) 1/4) (- (* 1/6 (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1)))) 1/2))
(/ (- (* 1/18 (log (/ 1 u1))) 1/4) (- (* 1/6 (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1)))) 1/2))
(/ (- (* -1/18 (+ (log -1) (* -1 (log (/ -1 u1))))) 1/4) (- (* 1/6 (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))) 1/2))
(/ (- (* -1/18 (+ (log -1) (* -1 (log (/ -1 u1))))) 1/4) (- (* 1/6 (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))) 1/2))
(/ (- (* -1/18 (+ (log -1) (* -1 (log (/ -1 u1))))) 1/4) (- (* 1/6 (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))) 1/2))
(/ (- (* -1/18 (+ (log -1) (* -1 (log (/ -1 u1))))) 1/4) (- (* 1/6 (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))) 1/2))
(- (* 1/6 (* (sqrt (log u1)) (sqrt -2))) 1/2)
(- (* 1/6 (* (sqrt (log u1)) (sqrt -2))) 1/2)
(- (* 1/6 (* (sqrt (log u1)) (sqrt -2))) 1/2)
(- (* 1/6 (* (sqrt (log u1)) (sqrt -2))) 1/2)
(- (* 1/6 (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1)))) 1/2)
(- (* 1/6 (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1)))) 1/2)
(- (* 1/6 (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1)))) 1/2)
(- (* 1/6 (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1)))) 1/2)
(- (* 1/6 (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))) 1/2)
(- (* 1/6 (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))) 1/2)
(- (* 1/6 (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))) 1/2)
(- (* 1/6 (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))) 1/2)
(- (* -1/18 (/ (log u1) (- (* 1/6 (* (sqrt (log u1)) (sqrt -2))) 1/2))) (* 1/4 (/ 1 (- (* 1/6 (* (sqrt (log u1)) (sqrt -2))) 1/2))))
(- (* -1/18 (/ (log u1) (- (* 1/6 (* (sqrt (log u1)) (sqrt -2))) 1/2))) (* 1/4 (/ 1 (- (* 1/6 (* (sqrt (log u1)) (sqrt -2))) 1/2))))
(- (* -1/18 (/ (log u1) (- (* 1/6 (* (sqrt (log u1)) (sqrt -2))) 1/2))) (* 1/4 (/ 1 (- (* 1/6 (* (sqrt (log u1)) (sqrt -2))) 1/2))))
(- (* -1/18 (/ (log u1) (- (* 1/6 (* (sqrt (log u1)) (sqrt -2))) 1/2))) (* 1/4 (/ 1 (- (* 1/6 (* (sqrt (log u1)) (sqrt -2))) 1/2))))
(- (* 1/18 (/ (log (/ 1 u1)) (- (* 1/6 (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1)))) 1/2))) (* 1/4 (/ 1 (- (* 1/6 (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1)))) 1/2))))
(- (* 1/18 (/ (log (/ 1 u1)) (- (* 1/6 (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1)))) 1/2))) (* 1/4 (/ 1 (- (* 1/6 (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1)))) 1/2))))
(- (* 1/18 (/ (log (/ 1 u1)) (- (* 1/6 (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1)))) 1/2))) (* 1/4 (/ 1 (- (* 1/6 (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1)))) 1/2))))
(- (* 1/18 (/ (log (/ 1 u1)) (- (* 1/6 (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1)))) 1/2))) (* 1/4 (/ 1 (- (* 1/6 (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1)))) 1/2))))
(- (* -1/18 (/ (+ (log -1) (* -1 (log (/ -1 u1)))) (- (* 1/6 (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))) 1/2))) (* 1/4 (/ 1 (- (* 1/6 (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))) 1/2))))
(- (* -1/18 (/ (+ (log -1) (* -1 (log (/ -1 u1)))) (- (* 1/6 (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))) 1/2))) (* 1/4 (/ 1 (- (* 1/6 (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))) 1/2))))
(- (* -1/18 (/ (+ (log -1) (* -1 (log (/ -1 u1)))) (- (* 1/6 (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))) 1/2))) (* 1/4 (/ 1 (- (* 1/6 (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))) 1/2))))
(- (* -1/18 (/ (+ (log -1) (* -1 (log (/ -1 u1)))) (- (* 1/6 (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))) 1/2))) (* 1/4 (/ 1 (- (* 1/6 (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))) 1/2))))
(* -1/18 (log u1))
(* -1/18 (log u1))
(* -1/18 (log u1))
(* -1/18 (log u1))
(* 1/18 (log (/ 1 u1)))
(* 1/18 (log (/ 1 u1)))
(* 1/18 (log (/ 1 u1)))
(* 1/18 (log (/ 1 u1)))
(* -1/18 (+ (log -1) (* -1 (log (/ -1 u1)))))
(* -1/18 (+ (log -1) (* -1 (log (/ -1 u1)))))
(* -1/18 (+ (log -1) (* -1 (log (/ -1 u1)))))
(* -1/18 (+ (log -1) (* -1 (log (/ -1 u1)))))
(* -1/18 (/ (log u1) (- (* 1/6 (* (sqrt (log u1)) (sqrt -2))) 1/2)))
(* -1/18 (/ (log u1) (- (* 1/6 (* (sqrt (log u1)) (sqrt -2))) 1/2)))
(* -1/18 (/ (log u1) (- (* 1/6 (* (sqrt (log u1)) (sqrt -2))) 1/2)))
(* -1/18 (/ (log u1) (- (* 1/6 (* (sqrt (log u1)) (sqrt -2))) 1/2)))
(* 1/18 (/ (log (/ 1 u1)) (- (* 1/6 (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1)))) 1/2)))
(* 1/18 (/ (log (/ 1 u1)) (- (* 1/6 (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1)))) 1/2)))
(* 1/18 (/ (log (/ 1 u1)) (- (* 1/6 (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1)))) 1/2)))
(* 1/18 (/ (log (/ 1 u1)) (- (* 1/6 (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1)))) 1/2)))
(* -1/18 (/ (+ (log -1) (* -1 (log (/ -1 u1)))) (- (* 1/6 (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))) 1/2)))
(* -1/18 (/ (+ (log -1) (* -1 (log (/ -1 u1)))) (- (* 1/6 (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))) 1/2)))
(* -1/18 (/ (+ (log -1) (* -1 (log (/ -1 u1)))) (- (* 1/6 (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))) 1/2)))
(* -1/18 (/ (+ (log -1) (* -1 (log (/ -1 u1)))) (- (* 1/6 (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))) 1/2)))
(+ 1/2 (* 1/6 (* (sqrt (log u1)) (sqrt -2))))
(+ 1/2 (* 1/6 (* (sqrt (log u1)) (sqrt -2))))
(+ 1/2 (* 1/6 (* (sqrt (log u1)) (sqrt -2))))
(+ 1/2 (* 1/6 (* (sqrt (log u1)) (sqrt -2))))
(+ 1/2 (* 1/6 (* (sqrt (log (/ 1 u1))) (sqrt 2))))
(+ 1/2 (* 1/6 (* (sqrt (log (/ 1 u1))) (sqrt 2))))
(+ 1/2 (* 1/6 (* (sqrt (log (/ 1 u1))) (sqrt 2))))
(+ 1/2 (* 1/6 (* (sqrt (log (/ 1 u1))) (sqrt 2))))
(+ 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))))))))
(pow (* -2 (log u1)) 1/4)
(pow (* -2 (log u1)) 1/4)
(pow (* -2 (log u1)) 1/4)
(pow (* -2 (log u1)) 1/4)
(pow (* 2 (log (/ 1 u1))) 1/4)
(pow (* 2 (log (/ 1 u1))) 1/4)
(pow (* 2 (log (/ 1 u1))) 1/4)
(pow (* 2 (log (/ 1 u1))) 1/4)
(pow (* -2 (+ (log -1) (* -1 (log (/ -1 u1))))) 1/4)
(pow (* -2 (+ (log -1) (* -1 (log (/ -1 u1))))) 1/4)
(pow (* -2 (+ (log -1) (* -1 (log (/ -1 u1))))) 1/4)
(pow (* -2 (+ (log -1) (* -1 (log (/ -1 u1))))) 1/4)
(* 1/6 (* (sqrt (log u1)) (sqrt -2)))
(* 1/6 (* (sqrt (log u1)) (sqrt -2)))
(* 1/6 (* (sqrt (log u1)) (sqrt -2)))
(* 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)))))))
(* u2 (PI))
(* u2 (PI))
(* u2 (PI))
(* u2 (PI))
(* u2 (PI))
(* u2 (PI))
(* u2 (PI))
(* u2 (PI))
(* u2 (PI))
(* u2 (PI))
(* u2 (PI))
(* u2 (PI))
(/ 1/4 (- (* 1/6 (* (sqrt (log u1)) (sqrt -2))) 1/2))
(/ 1/4 (- (* 1/6 (* (sqrt (log u1)) (sqrt -2))) 1/2))
(/ 1/4 (- (* 1/6 (* (sqrt (log u1)) (sqrt -2))) 1/2))
(/ 1/4 (- (* 1/6 (* (sqrt (log u1)) (sqrt -2))) 1/2))
(/ 1/4 (- (* 1/6 (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1)))) 1/2))
(/ 1/4 (- (* 1/6 (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1)))) 1/2))
(/ 1/4 (- (* 1/6 (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1)))) 1/2))
(/ 1/4 (- (* 1/6 (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1)))) 1/2))
(/ 1/4 (- (* 1/6 (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))) 1/2))
(/ 1/4 (- (* 1/6 (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))) 1/2))
(/ 1/4 (- (* 1/6 (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))) 1/2))
(/ 1/4 (- (* 1/6 (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))) 1/2))
(* 1/6 (pow (* -2 (log u1)) 1/4))
(* 1/6 (pow (* -2 (log u1)) 1/4))
(* 1/6 (pow (* -2 (log u1)) 1/4))
(* 1/6 (pow (* -2 (log u1)) 1/4))
(* 1/6 (pow (* 2 (log (/ 1 u1))) 1/4))
(* 1/6 (pow (* 2 (log (/ 1 u1))) 1/4))
(* 1/6 (pow (* 2 (log (/ 1 u1))) 1/4))
(* 1/6 (pow (* 2 (log (/ 1 u1))) 1/4))
(* 1/6 (pow (* -2 (+ (log -1) (* -1 (log (/ -1 u1))))) 1/4))
(* 1/6 (pow (* -2 (+ (log -1) (* -1 (log (/ -1 u1))))) 1/4))
(* 1/6 (pow (* -2 (+ (log -1) (* -1 (log (/ -1 u1))))) 1/4))
(* 1/6 (pow (* -2 (+ (log -1) (* -1 (log (/ -1 u1))))) 1/4))
Outputs
(+ 1/2 (* 1/6 (* (* (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 (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)))) #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 (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)))) #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 (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)))) #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 (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)))) #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 (sqrt.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) u1)))) (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 u2 (PI.f64)))) (*.f64 #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 (sqrt.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) u1)))) (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 u2 (PI.f64)))) (*.f64 #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 (sqrt.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) u1)))) (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 u2 (PI.f64)))) (*.f64 #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 (sqrt.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) u1)))) (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 u2 (PI.f64)))) (*.f64 #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 (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 #s(literal -2 binary64)) (*.f64 (sqrt.f64 (log.f64 u1)) (fma.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 (PI.f64) (PI.f64))) (*.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)))) (* 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 (*.f64 u2 u2) #s(literal 1/9 binary64)) (pow.f64 (PI.f64) #s(literal 4 binary64)))) #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 1/9 binary64) (pow.f64 (PI.f64) #s(literal 4 binary64)) (*.f64 (*.f64 (*.f64 u2 u2) #s(literal -2/135 binary64)) (pow.f64 (PI.f64) #s(literal 6 binary64)))) (*.f64 #s(literal -1/3 binary64) (*.f64 (PI.f64) (PI.f64))))) (*.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)))) (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))
(* (sqrt (log u1)) (sqrt -2))
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(pow.f64 (fma.f64 #s(literal -2 binary64) (log.f64 u1) #s(literal 0 binary64)) #s(literal 1/4 binary64))
(pow (* 2 (log (/ 1 u1))) 1/4)
(pow.f64 (fma.f64 #s(literal -2 binary64) (log.f64 u1) #s(literal 0 binary64)) #s(literal 1/4 binary64))
(pow (* 2 (log (/ 1 u1))) 1/4)
(pow.f64 (fma.f64 #s(literal -2 binary64) (log.f64 u1) #s(literal 0 binary64)) #s(literal 1/4 binary64))
(pow (* -2 (+ (log -1) (* -1 (log (/ -1 u1))))) 1/4)
(pow.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)) #s(literal 1/4 binary64))
(pow (* -2 (+ (log -1) (* -1 (log (/ -1 u1))))) 1/4)
(pow.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)) #s(literal 1/4 binary64))
(pow (* -2 (+ (log -1) (* -1 (log (/ -1 u1))))) 1/4)
(pow.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)) #s(literal 1/4 binary64))
(pow (* -2 (+ (log -1) (* -1 (log (/ -1 u1))))) 1/4)
(pow.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)) #s(literal 1/4 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 (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)))) #s(literal 0 binary64))
(* 1/6 (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1))))
(fma.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)))) #s(literal 0 binary64))
(* 1/6 (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1))))
(fma.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)))) #s(literal 0 binary64))
(* 1/6 (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1))))
(fma.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)))) #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))
(* u2 (PI))
(*.f64 u2 (PI.f64))
(* u2 (PI))
(*.f64 u2 (PI.f64))
(* u2 (PI))
(*.f64 u2 (PI.f64))
(* u2 (PI))
(*.f64 u2 (PI.f64))
(* u2 (PI))
(*.f64 u2 (PI.f64))
(* u2 (PI))
(*.f64 u2 (PI.f64))
(* u2 (PI))
(*.f64 u2 (PI.f64))
(* u2 (PI))
(*.f64 u2 (PI.f64))
(* u2 (PI))
(*.f64 u2 (PI.f64))
(* u2 (PI))
(*.f64 u2 (PI.f64))
(* u2 (PI))
(*.f64 u2 (PI.f64))
(* u2 (PI))
(*.f64 u2 (PI.f64))
(/ 1/4 (- (* 1/6 (* (sqrt (log u1)) (sqrt -2))) 1/2))
(/.f64 #s(literal 1/4 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)))
(/ 1/4 (- (* 1/6 (* (sqrt (log u1)) (sqrt -2))) 1/2))
(/.f64 #s(literal 1/4 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)))
(/ 1/4 (- (* 1/6 (* (sqrt (log u1)) (sqrt -2))) 1/2))
(/.f64 #s(literal 1/4 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)))
(/ 1/4 (- (* 1/6 (* (sqrt (log u1)) (sqrt -2))) 1/2))
(/.f64 #s(literal 1/4 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)))
(/ 1/4 (- (* 1/6 (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1)))) 1/2))
(/.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal -2 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (-.f64 #s(literal 0 binary64) (log.f64 u1)))) #s(literal -1/2 binary64)))
(/ 1/4 (- (* 1/6 (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1)))) 1/2))
(/.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal -2 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (-.f64 #s(literal 0 binary64) (log.f64 u1)))) #s(literal -1/2 binary64)))
(/ 1/4 (- (* 1/6 (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1)))) 1/2))
(/.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal -2 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (-.f64 #s(literal 0 binary64) (log.f64 u1)))) #s(literal -1/2 binary64)))
(/ 1/4 (- (* 1/6 (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1)))) 1/2))
(/.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal -2 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (-.f64 #s(literal 0 binary64) (log.f64 u1)))) #s(literal -1/2 binary64)))
(/ 1/4 (- (* 1/6 (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))) 1/2))
(/.f64 #s(literal 1/4 binary64) (fma.f64 (sqrt.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) u1)))) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -2 binary64))) #s(literal -1/2 binary64)))
(/ 1/4 (- (* 1/6 (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))) 1/2))
(/.f64 #s(literal 1/4 binary64) (fma.f64 (sqrt.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) u1)))) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -2 binary64))) #s(literal -1/2 binary64)))
(/ 1/4 (- (* 1/6 (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))) 1/2))
(/.f64 #s(literal 1/4 binary64) (fma.f64 (sqrt.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) u1)))) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -2 binary64))) #s(literal -1/2 binary64)))
(/ 1/4 (- (* 1/6 (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))) 1/2))
(/.f64 #s(literal 1/4 binary64) (fma.f64 (sqrt.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) u1)))) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -2 binary64))) #s(literal -1/2 binary64)))
(* 1/6 (pow (* -2 (log u1)) 1/4))
(*.f64 #s(literal 1/6 binary64) (pow.f64 (fma.f64 #s(literal -2 binary64) (log.f64 u1) #s(literal 0 binary64)) #s(literal 1/4 binary64)))
(* 1/6 (pow (* -2 (log u1)) 1/4))
(*.f64 #s(literal 1/6 binary64) (pow.f64 (fma.f64 #s(literal -2 binary64) (log.f64 u1) #s(literal 0 binary64)) #s(literal 1/4 binary64)))
(* 1/6 (pow (* -2 (log u1)) 1/4))
(*.f64 #s(literal 1/6 binary64) (pow.f64 (fma.f64 #s(literal -2 binary64) (log.f64 u1) #s(literal 0 binary64)) #s(literal 1/4 binary64)))
(* 1/6 (pow (* -2 (log u1)) 1/4))
(*.f64 #s(literal 1/6 binary64) (pow.f64 (fma.f64 #s(literal -2 binary64) (log.f64 u1) #s(literal 0 binary64)) #s(literal 1/4 binary64)))
(* 1/6 (pow (* 2 (log (/ 1 u1))) 1/4))
(*.f64 #s(literal 1/6 binary64) (pow.f64 (fma.f64 #s(literal -2 binary64) (log.f64 u1) #s(literal 0 binary64)) #s(literal 1/4 binary64)))
(* 1/6 (pow (* 2 (log (/ 1 u1))) 1/4))
(*.f64 #s(literal 1/6 binary64) (pow.f64 (fma.f64 #s(literal -2 binary64) (log.f64 u1) #s(literal 0 binary64)) #s(literal 1/4 binary64)))
(* 1/6 (pow (* 2 (log (/ 1 u1))) 1/4))
(*.f64 #s(literal 1/6 binary64) (pow.f64 (fma.f64 #s(literal -2 binary64) (log.f64 u1) #s(literal 0 binary64)) #s(literal 1/4 binary64)))
(* 1/6 (pow (* 2 (log (/ 1 u1))) 1/4))
(*.f64 #s(literal 1/6 binary64) (pow.f64 (fma.f64 #s(literal -2 binary64) (log.f64 u1) #s(literal 0 binary64)) #s(literal 1/4 binary64)))
(* 1/6 (pow (* -2 (+ (log -1) (* -1 (log (/ -1 u1))))) 1/4))
(*.f64 #s(literal 1/6 binary64) (pow.f64 (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)) #s(literal 1/4 binary64)))
(* 1/6 (pow (* -2 (+ (log -1) (* -1 (log (/ -1 u1))))) 1/4))
(*.f64 #s(literal 1/6 binary64) (pow.f64 (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)) #s(literal 1/4 binary64)))
(* 1/6 (pow (* -2 (+ (log -1) (* -1 (log (/ -1 u1))))) 1/4))
(*.f64 #s(literal 1/6 binary64) (pow.f64 (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)) #s(literal 1/4 binary64)))
(* 1/6 (pow (* -2 (+ (log -1) (* -1 (log (/ -1 u1))))) 1/4))
(*.f64 #s(literal 1/6 binary64) (pow.f64 (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)) #s(literal 1/4 binary64)))

eval287.0ms (2.1%)

Memory
48.0MiB live, 581.9MiB allocated
Compiler

Compiled 66 518 to 2 134 computations (96.8% saved)

prune160.0ms (1.2%)

Memory
-79.9MiB live, 328.0MiB allocated
Pruning

19 alts after pruning (17 fresh and 2 done)

PrunedKeptTotal
New2 003132 016
Fresh11415
Picked325
Done000
Total2 017192 036
Accuracy
100.0%
Counts
2 036 → 19
Alt Table
Click to see full alt table
StatusAccuracyProgram
98.4%
(fma.f64 (pow.f64 (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/4 binary64)) #s(literal 2 binary64)) #s(literal 1/6 binary64) #s(literal 1/2 binary64))
99.0%
(fma.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal 1/6 binary64)) (fma.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 #s(literal -2 binary64) (*.f64 u2 u2))) #s(literal 1 binary64)) #s(literal 1/2 binary64))
✓99.4%
(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))
▶98.9%
(fma.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (log.f64 u1))) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/2 binary64))
✓98.7%
(fma.f64 (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal 1/6 binary64) #s(literal 1/2 binary64))
98.5%
(fma.f64 (log.f64 u1) (/.f64 #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))))
98.3%
(fma.f64 (exp.f64 (*.f64 (log.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal 1/2 binary64))) #s(literal 1/6 binary64) #s(literal 1/2 binary64))
▶98.4%
(/.f64 (fma.f64 (pow.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal 2 binary64)) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) (fma.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal -1/2 binary64)))
▶99.1%
(/.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 #s(literal 2 binary64) (*.f64 (PI.f64) 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 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))) #s(literal -1/2 binary64)))
98.7%
(/.f64 (fma.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)) (fma.f64 (*.f64 (*.f64 u2 u2) #s(literal -1/9 binary64)) (*.f64 (PI.f64) (PI.f64)) #s(literal 1/36 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)))
98.4%
(/.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)))
98.4%
(/.f64 (-.f64 (*.f64 (log.f64 u1) #s(literal -1/18 binary64)) #s(literal 1/4 binary64)) (fma.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal -1/2 binary64)))
98.4%
(/.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))))
98.4%
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))))) (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)) #s(literal 1/36 binary64)))))
98.5%
(/.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))))
▶99.1%
(+.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) (*.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (log.f64 u1))) (sqrt.f64 #s(literal 2 binary64)))) (fma.f64 u2 (*.f64 u2 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal -2 binary64))) #s(literal 1 binary64))) #s(literal 1/2 binary64))
98.8%
(+.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) (*.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (log.f64 u1))) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64))
▶98.4%
(*.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))))
98.3%
(*.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))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (log.f64 u1) #s(literal -1/18 binary64) #s(literal -1/4 binary64))) #s(literal -1 binary64)))
Compiler

Compiled 723 to 572 computations (20.9% saved)

simplify452.0ms (3.4%)

Memory
24.7MiB live, 528.8MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)))
✓cost-diff0
(/.f64 (fma.f64 (pow.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal 2 binary64)) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) (fma.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal -1/2 binary64)))
✓cost-diff384
(fma.f64 (pow.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal 2 binary64)) #s(literal 1/36 binary64) #s(literal -1/4 binary64))
✓cost-diff7104
(pow.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal 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-diff0
(log.f64 u1)
✓cost-diff0
(fma.f64 (log.f64 u1) #s(literal -1/18 binary64) #s(literal -1/4 binary64))
✓cost-diff320
(*.f64 (fma.f64 (log.f64 u1) #s(literal -1/18 binary64) #s(literal -1/4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal 1/6 binary64) #s(literal -1/2 binary64))))
✓cost-diff0
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) (*.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (log.f64 u1))) (sqrt.f64 #s(literal 2 binary64))))
✓cost-diff128
(+.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) (*.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (log.f64 u1))) (sqrt.f64 #s(literal 2 binary64)))) (fma.f64 u2 (*.f64 u2 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal -2 binary64))) #s(literal 1 binary64))) #s(literal 1/2 binary64))
✓cost-diff320
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) (*.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (log.f64 u1))) (sqrt.f64 #s(literal 2 binary64)))) (fma.f64 u2 (*.f64 u2 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal -2 binary64))) #s(literal 1 binary64)))
✓cost-diff704
(/.f64 #s(literal 1 binary64) #s(literal 6 binary64))
✓cost-diff0
(log.f64 u1)
✓cost-diff0
(-.f64 #s(literal 0 binary64) (log.f64 u1))
✓cost-diff0
(sqrt.f64 (-.f64 #s(literal 0 binary64) (log.f64 u1)))
✓cost-diff0
(fma.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (log.f64 u1))) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/2 binary64))
✓cost-diff0
(/.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 #s(literal 2 binary64) (*.f64 (PI.f64) 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 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))) #s(literal -1/2 binary64)))
✓cost-diff192
(+.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))))))
✓cost-diff320
(*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))
✓cost-diff384
(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 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))))) #s(literal -1/4 binary64))
Rules
7 564×accelerator-lowering-fma.f32
7 564×accelerator-lowering-fma.f64
4 646×*-lowering-*.f32
4 646×*-lowering-*.f64
1 144×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
060407
1130403
2312395
3888395
41179395
51278395
61375395
71425395
81474395
91572395
101862395
112818395
124071395
135021395
146289395
157708395
08036374
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(/ (+ (* (* (log u1) -1/18) (+ 1/2 (* 1/2 (cos (* 2 (* 2 (* (PI) u2))))))) -1/4) (+ (* (sqrt (* -2 (log u1))) (* 1/6 (cos (* 2 (* (PI) u2))))) -1/2))
(+ (* (* (log u1) -1/18) (+ 1/2 (* 1/2 (cos (* 2 (* 2 (* (PI) u2))))))) -1/4)
(* (log u1) -1/18)
(log u1)
u1
-1/18
(+ 1/2 (* 1/2 (cos (* 2 (* 2 (* (PI) u2))))))
1/2
(* 1/2 (cos (* 2 (* 2 (* (PI) u2)))))
(cos (* 2 (* 2 (* (PI) u2))))
(* 2 (* 2 (* (PI) u2)))
2
(* 2 (* (PI) u2))
(* (PI) u2)
(PI)
u2
-1/4
(+ (* (sqrt (* -2 (log u1))) (* 1/6 (cos (* 2 (* (PI) u2))))) -1/2)
(sqrt (* -2 (log u1)))
(* -2 (log u1))
-2
(* 1/6 (cos (* 2 (* (PI) u2))))
1/6
(cos (* 2 (* (PI) u2)))
-1/2
(+ (* (sqrt (- 0 (log u1))) (* 1/6 (sqrt 2))) 1/2)
(sqrt (- 0 (log u1)))
(- 0 (log u1))
0
(log u1)
u1
(* 1/6 (sqrt 2))
1/6
(sqrt 2)
2
1/2
(+ (* (* (/ 1 6) (* (sqrt (- 0 (log u1))) (sqrt 2))) (+ (* u2 (* u2 (* (* (PI) (PI)) -2))) 1)) 1/2)
(* (* (/ 1 6) (* (sqrt (- 0 (log u1))) (sqrt 2))) (+ (* u2 (* u2 (* (* (PI) (PI)) -2))) 1))
(* (/ 1 6) (* (sqrt (- 0 (log u1))) (sqrt 2)))
(/ 1 6)
1
6
(* (sqrt (- 0 (log u1))) (sqrt 2))
(sqrt (- 0 (log u1)))
(- 0 (log u1))
0
(log u1)
u1
(sqrt 2)
2
(+ (* u2 (* u2 (* (* (PI) (PI)) -2))) 1)
u2
(* u2 (* (* (PI) (PI)) -2))
(* (* (PI) (PI)) -2)
(* (PI) (PI))
(PI)
-2
1/2
(* (+ (* (log u1) -1/18) -1/4) (/ 1 (+ (* (sqrt (* -2 (log u1))) 1/6) -1/2)))
(+ (* (log u1) -1/18) -1/4)
(log u1)
u1
-1/18
-1/4
(/ 1 (+ (* (sqrt (* -2 (log u1))) 1/6) -1/2))
1
(+ (* (sqrt (* -2 (log u1))) 1/6) -1/2)
(sqrt (* -2 (log u1)))
(* -2 (log u1))
-2
1/6
-1/2
(/ (+ (* (pow (sqrt (* -2 (log u1))) 2) 1/36) -1/4) (+ (* 1/6 (sqrt (* (log u1) -2))) -1/2))
(+ (* (pow (sqrt (* -2 (log u1))) 2) 1/36) -1/4)
(pow (sqrt (* -2 (log u1))) 2)
(sqrt (* -2 (log u1)))
(* -2 (log u1))
-2
(log u1)
u1
2
1/36
-1/4
(+ (* 1/6 (sqrt (* (log u1) -2))) -1/2)
1/6
(sqrt (* (log u1) -2))
(* (log u1) -2)
-1/2
Outputs
(/ (+ (* (* (log u1) -1/18) (+ 1/2 (* 1/2 (cos (* 2 (* 2 (* (PI) u2))))))) -1/4) (+ (* (sqrt (* -2 (log u1))) (* 1/6 (cos (* 2 (* (PI) u2))))) -1/2))
(/.f64 (fma.f64 (log.f64 u1) (fma.f64 (cos.f64 (*.f64 (*.f64 (PI.f64) u2) #s(literal 4 binary64))) #s(literal -1/36 binary64) #s(literal -1/36 binary64)) #s(literal -1/4 binary64)) (fma.f64 (sqrt.f64 (fma.f64 (log.f64 u1) #s(literal -2 binary64) #s(literal 0 binary64))) (*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))) #s(literal -1/2 binary64)))
(+ (* (* (log u1) -1/18) (+ 1/2 (* 1/2 (cos (* 2 (* 2 (* (PI) u2))))))) -1/4)
(fma.f64 (log.f64 u1) (fma.f64 (cos.f64 (*.f64 (*.f64 (PI.f64) u2) #s(literal 4 binary64))) #s(literal -1/36 binary64) #s(literal -1/36 binary64)) #s(literal -1/4 binary64))
(* (log u1) -1/18)
(fma.f64 (log.f64 u1) #s(literal -1/18 binary64) #s(literal 0 binary64))
(log u1)
(log.f64 u1)
u1
-1/18
#s(literal -1/18 binary64)
(+ 1/2 (* 1/2 (cos (* 2 (* 2 (* (PI) u2))))))
(fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 (*.f64 (PI.f64) u2) #s(literal 4 binary64))) #s(literal 1/2 binary64))
1/2
#s(literal 1/2 binary64)
(* 1/2 (cos (* 2 (* 2 (* (PI) u2)))))
(fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 (*.f64 (PI.f64) u2) #s(literal 4 binary64))) #s(literal 0 binary64))
(cos (* 2 (* 2 (* (PI) u2))))
(cos.f64 (*.f64 (*.f64 (PI.f64) u2) #s(literal 4 binary64)))
(* 2 (* 2 (* (PI) u2)))
(*.f64 (*.f64 (PI.f64) u2) #s(literal 4 binary64))
2
#s(literal 2 binary64)
(* 2 (* (PI) u2))
(*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))
(* (PI) u2)
(*.f64 (PI.f64) u2)
(PI)
(PI.f64)
u2
-1/4
#s(literal -1/4 binary64)
(+ (* (sqrt (* -2 (log u1))) (* 1/6 (cos (* 2 (* (PI) u2))))) -1/2)
(fma.f64 (sqrt.f64 (fma.f64 (log.f64 u1) #s(literal -2 binary64) #s(literal 0 binary64))) (*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))) #s(literal -1/2 binary64))
(sqrt (* -2 (log u1)))
(sqrt.f64 (fma.f64 (log.f64 u1) #s(literal -2 binary64) #s(literal 0 binary64)))
(* -2 (log u1))
(fma.f64 (log.f64 u1) #s(literal -2 binary64) #s(literal 0 binary64))
-2
#s(literal -2 binary64)
(* 1/6 (cos (* 2 (* (PI) u2))))
(*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))))
1/6
#s(literal 1/6 binary64)
(cos (* 2 (* (PI) u2)))
(cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))
-1/2
#s(literal -1/2 binary64)
(+ (* (sqrt (- 0 (log u1))) (* 1/6 (sqrt 2))) 1/2)
(fma.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (log.f64 u1))) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/2 binary64))
(sqrt (- 0 (log u1)))
(sqrt.f64 (-.f64 #s(literal 0 binary64) (log.f64 u1)))
(- 0 (log u1))
(-.f64 #s(literal 0 binary64) (log.f64 u1))
0
#s(literal 0 binary64)
(log u1)
(log.f64 u1)
u1
(* 1/6 (sqrt 2))
(*.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal 2 binary64)))
1/6
#s(literal 1/6 binary64)
(sqrt 2)
(sqrt.f64 #s(literal 2 binary64))
2
#s(literal 2 binary64)
1/2
#s(literal 1/2 binary64)
(+ (* (* (/ 1 6) (* (sqrt (- 0 (log u1))) (sqrt 2))) (+ (* u2 (* u2 (* (* (PI) (PI)) -2))) 1)) 1/2)
(fma.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (log.f64 u1))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 (*.f64 u2 (*.f64 u2 (*.f64 (PI.f64) (PI.f64)))) #s(literal -1/3 binary64) #s(literal 1/6 binary64))) #s(literal 1/2 binary64))
(* (* (/ 1 6) (* (sqrt (- 0 (log u1))) (sqrt 2))) (+ (* u2 (* u2 (* (* (PI) (PI)) -2))) 1))
(*.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (log.f64 u1))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 (*.f64 u2 (*.f64 u2 (*.f64 (PI.f64) (PI.f64)))) #s(literal -1/3 binary64) #s(literal 1/6 binary64))))
(* (/ 1 6) (* (sqrt (- 0 (log u1))) (sqrt 2)))
(*.f64 #s(literal 1/6 binary64) (*.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (log.f64 u1))) (sqrt.f64 #s(literal 2 binary64))))
(/ 1 6)
#s(literal 1/6 binary64)
1
#s(literal 1 binary64)
6
#s(literal 6 binary64)
(* (sqrt (- 0 (log u1))) (sqrt 2))
(*.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (log.f64 u1))) (sqrt.f64 #s(literal 2 binary64)))
(sqrt (- 0 (log u1)))
(sqrt.f64 (-.f64 #s(literal 0 binary64) (log.f64 u1)))
(- 0 (log u1))
(-.f64 #s(literal 0 binary64) (log.f64 u1))
0
#s(literal 0 binary64)
(log u1)
(log.f64 u1)
u1
(sqrt 2)
(sqrt.f64 #s(literal 2 binary64))
2
#s(literal 2 binary64)
(+ (* u2 (* u2 (* (* (PI) (PI)) -2))) 1)
(fma.f64 u2 (*.f64 u2 (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal -2 binary64)))) #s(literal 1 binary64))
u2
(* u2 (* (* (PI) (PI)) -2))
(*.f64 u2 (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal -2 binary64))))
(* (* (PI) (PI)) -2)
(*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal -2 binary64)))
(* (PI) (PI))
(*.f64 (PI.f64) (PI.f64))
(PI)
(PI.f64)
-2
#s(literal -2 binary64)
1/2
#s(literal 1/2 binary64)
(* (+ (* (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 (log.f64 u1) #s(literal -2 binary64) #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))
(log u1)
(log.f64 u1)
u1
-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 (log.f64 u1) #s(literal -2 binary64) #s(literal 0 binary64))) #s(literal 1/6 binary64) #s(literal -1/2 binary64)))
1
#s(literal 1 binary64)
(+ (* (sqrt (* -2 (log u1))) 1/6) -1/2)
(fma.f64 (sqrt.f64 (fma.f64 (log.f64 u1) #s(literal -2 binary64) #s(literal 0 binary64))) #s(literal 1/6 binary64) #s(literal -1/2 binary64))
(sqrt (* -2 (log u1)))
(sqrt.f64 (fma.f64 (log.f64 u1) #s(literal -2 binary64) #s(literal 0 binary64)))
(* -2 (log u1))
(fma.f64 (log.f64 u1) #s(literal -2 binary64) #s(literal 0 binary64))
-2
#s(literal -2 binary64)
1/6
#s(literal 1/6 binary64)
-1/2
#s(literal -1/2 binary64)
(/ (+ (* (pow (sqrt (* -2 (log u1))) 2) 1/36) -1/4) (+ (* 1/6 (sqrt (* (log u1) -2))) -1/2))
(/.f64 (fma.f64 (log.f64 u1) #s(literal -1/18 binary64) #s(literal -1/4 binary64)) (fma.f64 (sqrt.f64 (fma.f64 (log.f64 u1) #s(literal -2 binary64) #s(literal 0 binary64))) #s(literal 1/6 binary64) #s(literal -1/2 binary64)))
(+ (* (pow (sqrt (* -2 (log u1))) 2) 1/36) -1/4)
(fma.f64 (log.f64 u1) #s(literal -1/18 binary64) #s(literal -1/4 binary64))
(pow (sqrt (* -2 (log u1))) 2)
(fma.f64 (log.f64 u1) #s(literal -2 binary64) #s(literal 0 binary64))
(sqrt (* -2 (log u1)))
(sqrt.f64 (fma.f64 (log.f64 u1) #s(literal -2 binary64) #s(literal 0 binary64)))
(* -2 (log u1))
(fma.f64 (log.f64 u1) #s(literal -2 binary64) #s(literal 0 binary64))
-2
#s(literal -2 binary64)
(log u1)
(log.f64 u1)
u1
2
#s(literal 2 binary64)
1/36
#s(literal 1/36 binary64)
-1/4
#s(literal -1/4 binary64)
(+ (* 1/6 (sqrt (* (log u1) -2))) -1/2)
(fma.f64 (sqrt.f64 (fma.f64 (log.f64 u1) #s(literal -2 binary64) #s(literal 0 binary64))) #s(literal 1/6 binary64) #s(literal -1/2 binary64))
1/6
#s(literal 1/6 binary64)
(sqrt (* (log u1) -2))
(sqrt.f64 (fma.f64 (log.f64 u1) #s(literal -2 binary64) #s(literal 0 binary64)))
(* (log u1) -2)
(fma.f64 (log.f64 u1) #s(literal -2 binary64) #s(literal 0 binary64))
-1/2
#s(literal -1/2 binary64)

localize245.0ms (1.8%)

Memory
35.6MiB live, 406.0MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
✓accuracy99.5%
(fma.f64 (pow.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal 2 binary64)) #s(literal 1/36 binary64) #s(literal -1/4 binary64))
✓accuracy99.2%
(/.f64 (fma.f64 (pow.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal 2 binary64)) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) (fma.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal -1/2 binary64)))
✓accuracy99.2%
(fma.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal -1/2 binary64))
✓accuracy99.1%
(pow.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal 2 binary64))
✓accuracy99.5%
(/.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 (log.f64 u1) #s(literal -1/18 binary64) #s(literal -1/4 binary64))
✓accuracy99.4%
(*.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))))
✓accuracy99.2%
(fma.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal 1/6 binary64) #s(literal -1/2 binary64))
✓accuracy99.8%
(sqrt.f64 (-.f64 #s(literal 0 binary64) (log.f64 u1)))
✓accuracy99.3%
(*.f64 u2 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal -2 binary64)))
✓accuracy99.3%
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) (*.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (log.f64 u1))) (sqrt.f64 #s(literal 2 binary64))))
✓accuracy99.2%
(*.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (log.f64 u1))) (sqrt.f64 #s(literal 2 binary64)))
✓accuracy100.0%
(sqrt.f64 #s(literal 2 binary64))
✓accuracy100.0%
(log.f64 u1)
✓accuracy99.8%
(sqrt.f64 (-.f64 #s(literal 0 binary64) (log.f64 u1)))
✓accuracy99.7%
(fma.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (log.f64 u1))) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/2 binary64))
✓accuracy99.6%
(*.f64 (PI.f64) u2)
✓accuracy99.5%
(*.f64 (log.f64 u1) #s(literal -1/18 binary64))
✓accuracy99.2%
(/.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 #s(literal 2 binary64) (*.f64 (PI.f64) 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 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))) #s(literal -1/2 binary64)))
✓accuracy99.2%
(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))
Samples
120.0ms256×0valid
Compiler

Compiled 432 to 62 computations (85.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 84.0ms
ival-mult: 33.0ms (39.4% of total)
ival-add: 13.0ms (15.5% of total)
const: 10.0ms (11.9% of total)
ival-sqrt: 7.0ms (8.4% of total)
ival-div: 6.0ms (7.2% of total)
ival-log: 4.0ms (4.8% of total)
ival-cos: 4.0ms (4.8% of total)
ival-pow2: 3.0ms (3.6% of total)
ival-pi: 1.0ms (1.2% of total)
ival-sub: 1.0ms (1.2% of total)
exact: 1.0ms (1.2% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series39.0ms (0.3%)

Memory
-8.9MiB live, 60.2MiB allocated
Counts
27 → 360
Calls
Call 1
Inputs
#<alt (+ (* (* (log u1) -1/18) (+ 1/2 (* 1/2 (cos (* 2 (* 2 (* (PI) u2))))))) -1/4)>
#<alt (* 2 (* 2 (* (PI) u2)))>
#<alt (+ 1/2 (* 1/2 (cos (* 2 (* 2 (* (PI) u2))))))>
#<alt (/ (+ (* (* (log u1) -1/18) (+ 1/2 (* 1/2 (cos (* 2 (* 2 (* (PI) u2))))))) -1/4) (+ (* (sqrt (* -2 (log u1))) (* 1/6 (cos (* 2 (* (PI) u2))))) -1/2))>
#<alt (+ (* (sqrt (- 0 (log u1))) (* 1/6 (sqrt 2))) 1/2)>
#<alt (sqrt (- 0 (log u1)))>
#<alt (- 0 (log u1))>
#<alt (log u1)>
#<alt (/ 1 6)>
#<alt (* (* (/ 1 6) (* (sqrt (- 0 (log u1))) (sqrt 2))) (+ (* u2 (* u2 (* (* (PI) (PI)) -2))) 1))>
#<alt (+ (* (* (/ 1 6) (* (sqrt (- 0 (log u1))) (sqrt 2))) (+ (* u2 (* u2 (* (* (PI) (PI)) -2))) 1)) 1/2)>
#<alt (* (/ 1 6) (* (sqrt (- 0 (log u1))) (sqrt 2)))>
#<alt (* (+ (* (log u1) -1/18) -1/4) (/ 1 (+ (* (sqrt (* -2 (log u1))) 1/6) -1/2)))>
#<alt (+ (* (log u1) -1/18) -1/4)>
#<alt (/ 1 (+ (* (sqrt (* -2 (log u1))) 1/6) -1/2))>
#<alt (pow (sqrt (* -2 (log u1))) 2)>
#<alt (+ (* (pow (sqrt (* -2 (log u1))) 2) 1/36) -1/4)>
#<alt (/ (+ (* (pow (sqrt (* -2 (log u1))) 2) 1/36) -1/4) (+ (* 1/6 (sqrt (* (log u1) -2))) -1/2))>
#<alt (sqrt (* -2 (log u1)))>
#<alt (+ (* (sqrt (* -2 (log u1))) (* 1/6 (cos (* 2 (* (PI) u2))))) -1/2)>
#<alt (* (log u1) -1/18)>
#<alt (* (PI) u2)>
#<alt (sqrt 2)>
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#<alt (* u2 (* (* (PI) (PI)) -2))>
#<alt (+ (* (sqrt (* -2 (log u1))) 1/6) -1/2)>
#<alt (+ (* 1/6 (sqrt (* (log u1) -2))) -1/2)>
Outputs
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#<alt (- (* -1/18 (* (log u1) (+ 1/2 (* 1/2 (cos (* 4 (* u2 (PI)))))))) 1/4)>
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#<alt (- (* 1/18 (* (log (/ 1 u1)) (+ 1/2 (* 1/2 (cos (* 4 (* u2 (PI)))))))) 1/4)>
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#<alt (- (* 1/18 (* (log (/ 1 u1)) (+ 1/2 (* 1/2 (cos (* 4 (* u2 (PI)))))))) 1/4)>
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#<alt (- (* -1/18 (* (+ 1/2 (* 1/2 (cos (* 4 (* u2 (PI)))))) (+ (log -1) (* -1 (log (/ -1 u1)))))) 1/4)>
#<alt (- (* -1/18 (* (+ 1/2 (* 1/2 (cos (* 4 (* u2 (PI)))))) (+ (log -1) (* -1 (log (/ -1 u1)))))) 1/4)>
#<alt (- (* -1/18 (* (+ 1/2 (* 1/2 (cos (* 4 (* u2 (PI)))))) (+ (log -1) (* -1 (log (/ -1 u1)))))) 1/4)>
#<alt (- (* -1/18 (log u1)) 1/4)>
#<alt (- (+ (* -1/18 (log u1)) (* 2/9 (* (pow u2 2) (* (pow (PI) 2) (log u1))))) 1/4)>
#<alt (- (+ (* -1/18 (log u1)) (* (pow u2 2) (+ (* -8/27 (* (pow u2 2) (* (pow (PI) 4) (log u1)))) (* 2/9 (* (pow (PI) 2) (log u1)))))) 1/4)>
#<alt (- (+ (* -1/18 (log u1)) (* (pow u2 2) (+ (* 2/9 (* (pow (PI) 2) (log u1))) (* (pow u2 2) (+ (* -8/27 (* (pow (PI) 4) (log u1))) (* 64/405 (* (pow u2 2) (* (pow (PI) 6) (log u1))))))))) 1/4)>
#<alt (- (* -1/18 (* (log u1) (+ 1/2 (* 1/2 (cos (* 4 (* u2 (PI)))))))) 1/4)>
#<alt (- (* -1/18 (* (log u1) (+ 1/2 (* 1/2 (cos (* 4 (* u2 (PI)))))))) 1/4)>
#<alt (- (* -1/18 (* (log u1) (+ 1/2 (* 1/2 (cos (* 4 (* u2 (PI)))))))) 1/4)>
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#<alt (- (* -1/18 (* (log u1) (+ 1/2 (* 1/2 (cos (* 4 (* u2 (PI)))))))) 1/4)>
#<alt (- (* -1/18 (* (log u1) (+ 1/2 (* 1/2 (cos (* 4 (* u2 (PI)))))))) 1/4)>
#<alt (- (* -1/18 (* (log u1) (+ 1/2 (* 1/2 (cos (* 4 (* u2 (PI)))))))) 1/4)>
#<alt (- (* -1/18 (* (log u1) (+ 1/2 (* 1/2 (cos (* 4 (* u2 (PI)))))))) 1/4)>
#<alt (* 4 (* u2 (PI)))>
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#<alt 1>
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#<alt (+ 1 (* (pow u2 2) (+ (* -4 (pow (PI) 2)) (* 16/3 (* (pow u2 2) (pow (PI) 4))))))>
#<alt (+ 1 (* (pow u2 2) (+ (* -4 (pow (PI) 2)) (* (pow u2 2) (+ (* -128/45 (* (pow u2 2) (pow (PI) 6))) (* 16/3 (pow (PI) 4)))))))>
#<alt (+ 1/2 (* 1/2 (cos (* 4 (* u2 (PI))))))>
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#<alt (+ 1/2 (* 1/2 (cos (* 4 (* u2 (PI))))))>
#<alt (+ 1/2 (* 1/2 (cos (* 4 (* u2 (PI))))))>
#<alt (+ 1/2 (* 1/2 (cos (* 4 (* u2 (PI))))))>
#<alt (+ 1/2 (* 1/2 (cos (* 4 (* u2 (PI))))))>
#<alt (+ 1/2 (* 1/2 (cos (* 4 (* u2 (PI))))))>
#<alt (+ 1/2 (* 1/2 (cos (* 4 (* u2 (PI))))))>
#<alt (/ (- (* -1/18 (* (log u1) (+ 1/2 (* 1/2 (cos (* 4 (* u2 (PI)))))))) 1/4) (- (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))) 1/2))>
#<alt (/ (- (* -1/18 (* (log u1) (+ 1/2 (* 1/2 (cos (* 4 (* u2 (PI)))))))) 1/4) (- (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))) 1/2))>
#<alt (/ (- (* -1/18 (* (log u1) (+ 1/2 (* 1/2 (cos (* 4 (* u2 (PI)))))))) 1/4) (- (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))) 1/2))>
#<alt (/ (- (* -1/18 (* (log u1) (+ 1/2 (* 1/2 (cos (* 4 (* u2 (PI)))))))) 1/4) (- (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))) 1/2))>
#<alt (/ (- (* 1/18 (* (log (/ 1 u1)) (+ 1/2 (* 1/2 (cos (* 4 (* u2 (PI)))))))) 1/4) (- (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -2) (sqrt -1))) (sqrt (log (/ 1 u1))))) 1/2))>
#<alt (/ (- (* 1/18 (* (log (/ 1 u1)) (+ 1/2 (* 1/2 (cos (* 4 (* u2 (PI)))))))) 1/4) (- (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -2) (sqrt -1))) (sqrt (log (/ 1 u1))))) 1/2))>
#<alt (/ (- (* 1/18 (* (log (/ 1 u1)) (+ 1/2 (* 1/2 (cos (* 4 (* u2 (PI)))))))) 1/4) (- (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -2) (sqrt -1))) (sqrt (log (/ 1 u1))))) 1/2))>
#<alt (/ (- (* 1/18 (* (log (/ 1 u1)) (+ 1/2 (* 1/2 (cos (* 4 (* u2 (PI)))))))) 1/4) (- (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -2) (sqrt -1))) (sqrt (log (/ 1 u1))))) 1/2))>
#<alt (/ (- (* -1/18 (* (+ 1/2 (* 1/2 (cos (* 4 (* u2 (PI)))))) (+ (log -1) (* -1 (log (/ -1 u1)))))) 1/4) (- (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))) 1/2))>
#<alt (/ (- (* -1/18 (* (+ 1/2 (* 1/2 (cos (* 4 (* u2 (PI)))))) (+ (log -1) (* -1 (log (/ -1 u1)))))) 1/4) (- (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))) 1/2))>
#<alt (/ (- (* -1/18 (* (+ 1/2 (* 1/2 (cos (* 4 (* u2 (PI)))))) (+ (log -1) (* -1 (log (/ -1 u1)))))) 1/4) (- (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))) 1/2))>
#<alt (/ (- (* -1/18 (* (+ 1/2 (* 1/2 (cos (* 4 (* u2 (PI)))))) (+ (log -1) (* -1 (log (/ -1 u1)))))) 1/4) (- (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))) 1/2))>
#<alt (/ (- (* -1/18 (log u1)) 1/4) (- (* 1/6 (* (sqrt (log u1)) (sqrt -2))) 1/2))>
#<alt (- (+ (* -1/18 (/ (log u1) (- (* 1/6 (* (sqrt (log u1)) (sqrt -2))) 1/2))) (* (pow u2 2) (- (* 2/9 (/ (* (pow (PI) 2) (log u1)) (- (* 1/6 (* (sqrt (log u1)) (sqrt -2))) 1/2))) (* -1/3 (* (/ (* (pow (PI) 2) (* (sqrt -2) (- (* -1/18 (log u1)) 1/4))) (pow (- (* 1/6 (* (sqrt (log u1)) (sqrt -2))) 1/2) 2)) (sqrt (log u1))))))) (* 1/4 (/ 1 (- (* 1/6 (* (sqrt (log u1)) (sqrt -2))) 1/2))))>
#<alt (- (+ (* -1/18 (/ (log u1) (- (* 1/6 (* (sqrt (log u1)) (sqrt -2))) 1/2))) (* (pow u2 2) (- (+ (* 2/9 (/ (* (pow (PI) 2) (log u1)) (- (* 1/6 (* (sqrt (log u1)) (sqrt -2))) 1/2))) (* (pow u2 2) (- (* -8/27 (/ (* (pow (PI) 4) (log u1)) (- (* 1/6 (* (sqrt (log u1)) (sqrt -2))) 1/2))) (+ (* -1/3 (* (/ (* (pow (PI) 2) (* (sqrt -2) (- (* 2/9 (/ (* (pow (PI) 2) (log u1)) (- (* 1/6 (* (sqrt (log u1)) (sqrt -2))) 1/2))) (* -1/3 (* (/ (* (pow (PI) 2) (* (sqrt -2) (- (* -1/18 (log u1)) 1/4))) (pow (- (* 1/6 (* (sqrt (log u1)) (sqrt -2))) 1/2) 2)) (sqrt (log u1))))))) (- (* 1/6 (* (sqrt (log u1)) (sqrt -2))) 1/2)) (sqrt (log u1)))) (* 1/9 (* (/ (* (pow (PI) 4) (* (sqrt -2) (- (* -1/18 (log u1)) 1/4))) (pow (- (* 1/6 (* (sqrt (log u1)) (sqrt -2))) 1/2) 2)) (sqrt (log u1)))))))) (* -1/3 (* (/ (* (pow (PI) 2) (* (sqrt -2) (- (* -1/18 (log u1)) 1/4))) (pow (- (* 1/6 (* (sqrt (log u1)) (sqrt -2))) 1/2) 2)) (sqrt (log u1))))))) (* 1/4 (/ 1 (- (* 1/6 (* (sqrt (log u1)) (sqrt -2))) 1/2))))>
#<alt (- (+ (* -1/18 (/ (log u1) (- (* 1/6 (* (sqrt (log u1)) (sqrt -2))) 1/2))) (* (pow u2 2) (- (+ (* 2/9 (/ (* (pow (PI) 2) (log u1)) (- (* 1/6 (* (sqrt (log u1)) (sqrt -2))) 1/2))) (* (pow u2 2) (- (+ (* -8/27 (/ (* (pow (PI) 4) (log u1)) (- (* 1/6 (* (sqrt (log u1)) (sqrt -2))) 1/2))) (* (pow u2 2) (- (* 64/405 (/ (* (pow (PI) 6) (log u1)) (- (* 1/6 (* (sqrt (log u1)) (sqrt -2))) 1/2))) (+ (* -1/3 (* (/ (* (pow (PI) 2) (* (sqrt -2) (- (* -8/27 (/ (* (pow (PI) 4) (log u1)) (- (* 1/6 (* (sqrt (log u1)) (sqrt -2))) 1/2))) (+ (* -1/3 (* (/ (* (pow (PI) 2) (* (sqrt -2) (- (* 2/9 (/ (* (pow (PI) 2) (log u1)) (- (* 1/6 (* (sqrt (log u1)) (sqrt -2))) 1/2))) (* -1/3 (* (/ (* (pow (PI) 2) (* (sqrt -2) (- (* -1/18 (log u1)) 1/4))) (pow (- (* 1/6 (* (sqrt (log u1)) (sqrt -2))) 1/2) 2)) (sqrt (log u1))))))) (- (* 1/6 (* (sqrt (log u1)) (sqrt -2))) 1/2)) (sqrt (log u1)))) (* 1/9 (* (/ (* (pow (PI) 4) (* (sqrt -2) (- (* -1/18 (log u1)) 1/4))) (pow (- (* 1/6 (* (sqrt (log u1)) (sqrt -2))) 1/2) 2)) (sqrt (log u1)))))))) (- (* 1/6 (* (sqrt (log u1)) (sqrt -2))) 1/2)) (sqrt (log u1)))) (+ (* -2/135 (* (/ (* (pow (PI) 6) (* (sqrt -2) (- (* -1/18 (log u1)) 1/4))) (pow (- (* 1/6 (* (sqrt (log u1)) (sqrt -2))) 1/2) 2)) (sqrt (log u1)))) (* 1/9 (* (/ (* (pow (PI) 4) (* (sqrt -2) (- (* 2/9 (/ (* (pow (PI) 2) (log u1)) (- (* 1/6 (* (sqrt (log u1)) (sqrt -2))) 1/2))) (* -1/3 (* (/ (* (pow (PI) 2) (* (sqrt -2) (- (* -1/18 (log u1)) 1/4))) (pow (- (* 1/6 (* (sqrt (log u1)) (sqrt -2))) 1/2) 2)) (sqrt (log u1))))))) (- (* 1/6 (* (sqrt (log u1)) (sqrt -2))) 1/2)) (sqrt (log u1))))))))) (+ (* -1/3 (* (/ (* (pow (PI) 2) (* (sqrt -2) (- (* 2/9 (/ (* (pow (PI) 2) (log u1)) (- (* 1/6 (* (sqrt (log u1)) (sqrt -2))) 1/2))) (* -1/3 (* (/ (* (pow (PI) 2) (* (sqrt -2) (- (* -1/18 (log u1)) 1/4))) (pow (- (* 1/6 (* (sqrt (log u1)) (sqrt -2))) 1/2) 2)) (sqrt (log u1))))))) (- (* 1/6 (* (sqrt (log u1)) (sqrt -2))) 1/2)) (sqrt (log u1)))) (* 1/9 (* (/ (* (pow (PI) 4) (* (sqrt -2) (- (* -1/18 (log u1)) 1/4))) (pow (- (* 1/6 (* (sqrt (log u1)) (sqrt -2))) 1/2) 2)) (sqrt (log u1)))))))) (* -1/3 (* (/ (* (pow (PI) 2) (* (sqrt -2) (- (* -1/18 (log u1)) 1/4))) (pow (- (* 1/6 (* (sqrt (log u1)) (sqrt -2))) 1/2) 2)) (sqrt (log u1))))))) (* 1/4 (/ 1 (- (* 1/6 (* (sqrt (log u1)) (sqrt -2))) 1/2))))>
#<alt (/ (- (* -1/18 (* (log u1) (+ 1/2 (* 1/2 (cos (* 4 (* u2 (PI)))))))) 1/4) (- (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))) 1/2))>
#<alt (/ (- (* -1/18 (* (log u1) (+ 1/2 (* 1/2 (cos (* 4 (* u2 (PI)))))))) 1/4) (- (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))) 1/2))>
#<alt (/ (- (* -1/18 (* (log u1) (+ 1/2 (* 1/2 (cos (* 4 (* u2 (PI)))))))) 1/4) (- (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))) 1/2))>
#<alt (/ (- (* -1/18 (* (log u1) (+ 1/2 (* 1/2 (cos (* 4 (* u2 (PI)))))))) 1/4) (- (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))) 1/2))>
#<alt (/ (- (* -1/18 (* (log u1) (+ 1/2 (* 1/2 (cos (* 4 (* u2 (PI)))))))) 1/4) (- (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))) 1/2))>
#<alt (/ (- (* -1/18 (* (log u1) (+ 1/2 (* 1/2 (cos (* 4 (* u2 (PI)))))))) 1/4) (- (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))) 1/2))>
#<alt (/ (- (* -1/18 (* (log u1) (+ 1/2 (* 1/2 (cos (* 4 (* u2 (PI)))))))) 1/4) (- (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))) 1/2))>
#<alt (/ (- (* -1/18 (* (log u1) (+ 1/2 (* 1/2 (cos (* 4 (* u2 (PI)))))))) 1/4) (- (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))) 1/2))>
#<alt (+ 1/2 (* 1/6 (* (sqrt (log u1)) (* (sqrt -1) (sqrt 2)))))>
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#<alt (* (sqrt (log u1)) (sqrt -1))>
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#<alt (log u1)>
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#<alt (* (pow u2 2) (+ (* -1/3 (* (* (pow (PI) 2) (* (sqrt -1) (sqrt 2))) (sqrt (log u1)))) (* 1/6 (* (/ (* (sqrt -1) (sqrt 2)) (pow u2 2)) (sqrt (log u1))))))>
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#<alt (* (pow u2 2) (+ (* -1/3 (* (* (pow (PI) 2) (* (sqrt -1) (sqrt 2))) (sqrt (log u1)))) (* 1/6 (* (/ (* (sqrt -1) (sqrt 2)) (pow u2 2)) (sqrt (log u1))))))>
#<alt (* (pow u2 2) (+ (* -1/3 (* (* (pow (PI) 2) (* (sqrt -1) (sqrt 2))) (sqrt (log u1)))) (* 1/6 (* (/ (* (sqrt -1) (sqrt 2)) (pow u2 2)) (sqrt (log u1))))))>
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Calls

90 calls:

TimeVariablePointExpression
5.0ms
u2
@0
(/ (+ (* (* (log u1) -1/18) (+ 1/2 (* 1/2 (cos (* 2 (* 2 (* (PI) u2))))))) -1/4) (+ (* (sqrt (* -2 (log u1))) (* 1/6 (cos (* 2 (* (PI) u2))))) -1/2))
2.0ms
u1
@0
(* (* (/ 1 6) (* (sqrt (- 0 (log u1))) (sqrt 2))) (+ (* u2 (* u2 (* (* (PI) (PI)) -2))) 1))
2.0ms
u1
@0
(+ (* (* (log u1) -1/18) (+ 1/2 (* 1/2 (cos (* 2 (* 2 (* (PI) u2))))))) -1/4)
1.0ms
u2
@inf
(* (* (/ 1 6) (* (sqrt (- 0 (log u1))) (sqrt 2))) (+ (* u2 (* u2 (* (* (PI) (PI)) -2))) 1))
1.0ms
u2
@0
(* (* (/ 1 6) (* (sqrt (- 0 (log u1))) (sqrt 2))) (+ (* u2 (* u2 (* (* (PI) (PI)) -2))) 1))

rewrite441.0ms (3.3%)

Memory
-25.5MiB live, 306.6MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
1 604×*-lowering-*.f32
1 604×*-lowering-*.f64
1 406×accelerator-lowering-fma.f32
1 406×accelerator-lowering-fma.f64
758×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
060267
1325245
02389229
Stop Event
1×iter limit
1×iter limit
1×node limit
Counts
27 → 477
Calls
Call 1
Inputs
(+ (* (* (log u1) -1/18) (+ 1/2 (* 1/2 (cos (* 2 (* 2 (* (PI) u2))))))) -1/4)
(* 2 (* 2 (* (PI) u2)))
(+ 1/2 (* 1/2 (cos (* 2 (* 2 (* (PI) u2))))))
(/ (+ (* (* (log u1) -1/18) (+ 1/2 (* 1/2 (cos (* 2 (* 2 (* (PI) u2))))))) -1/4) (+ (* (sqrt (* -2 (log u1))) (* 1/6 (cos (* 2 (* (PI) u2))))) -1/2))
(+ (* (sqrt (- 0 (log u1))) (* 1/6 (sqrt 2))) 1/2)
(sqrt (- 0 (log u1)))
(- 0 (log u1))
(log u1)
(/ 1 6)
(* (* (/ 1 6) (* (sqrt (- 0 (log u1))) (sqrt 2))) (+ (* u2 (* u2 (* (* (PI) (PI)) -2))) 1))
(+ (* (* (/ 1 6) (* (sqrt (- 0 (log u1))) (sqrt 2))) (+ (* u2 (* u2 (* (* (PI) (PI)) -2))) 1)) 1/2)
(* (/ 1 6) (* (sqrt (- 0 (log u1))) (sqrt 2)))
(* (+ (* (log u1) -1/18) -1/4) (/ 1 (+ (* (sqrt (* -2 (log u1))) 1/6) -1/2)))
(+ (* (log u1) -1/18) -1/4)
(/ 1 (+ (* (sqrt (* -2 (log u1))) 1/6) -1/2))
(pow (sqrt (* -2 (log u1))) 2)
(+ (* (pow (sqrt (* -2 (log u1))) 2) 1/36) -1/4)
(/ (+ (* (pow (sqrt (* -2 (log u1))) 2) 1/36) -1/4) (+ (* 1/6 (sqrt (* (log u1) -2))) -1/2))
(sqrt (* -2 (log u1)))
(+ (* (sqrt (* -2 (log u1))) (* 1/6 (cos (* 2 (* (PI) u2))))) -1/2)
(* (log u1) -1/18)
(* (PI) u2)
(sqrt 2)
(* (sqrt (- 0 (log u1))) (sqrt 2))
(* u2 (* (* (PI) (PI)) -2))
(+ (* (sqrt (* -2 (log u1))) 1/6) -1/2)
(+ (* 1/6 (sqrt (* (log u1) -2))) -1/2)
Outputs
(+.f64 (*.f64 (*.f64 (log.f64 u1) #s(literal -1/18 binary64)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 (*.f64 (PI.f64) u2) #s(literal 4 binary64))) #s(literal 1/2 binary64))) #s(literal -1/4 binary64))
(+.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 (log.f64 u1) #s(literal -1/18 binary64)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 (*.f64 (PI.f64) u2) #s(literal 4 binary64))) #s(literal 1/2 binary64))))
(+.f64 (*.f64 (log.f64 u1) #s(literal -1/36 binary64)) (fma.f64 (cos.f64 (*.f64 (*.f64 (PI.f64) u2) #s(literal 4 binary64))) (*.f64 (log.f64 u1) #s(literal -1/36 binary64)) #s(literal -1/4 binary64)))
(+.f64 (+.f64 #s(literal -1/4 binary64) (*.f64 (log.f64 u1) #s(literal -1/36 binary64))) (*.f64 (cos.f64 (*.f64 (*.f64 (PI.f64) u2) #s(literal 4 binary64))) (*.f64 (log.f64 u1) #s(literal -1/36 binary64))))
(-.f64 (/.f64 (pow.f64 (*.f64 (*.f64 (log.f64 u1) #s(literal -1/18 binary64)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 (*.f64 (PI.f64) u2) #s(literal 4 binary64))) #s(literal 1/2 binary64))) #s(literal 2 binary64)) (fma.f64 (*.f64 (log.f64 u1) #s(literal -1/18 binary64)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 (*.f64 (PI.f64) u2) #s(literal 4 binary64))) #s(literal 1/2 binary64)) #s(literal 1/4 binary64))) (/.f64 #s(literal 1/16 binary64) (fma.f64 (*.f64 (log.f64 u1) #s(literal -1/18 binary64)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 (*.f64 (PI.f64) u2) #s(literal 4 binary64))) #s(literal 1/2 binary64)) #s(literal 1/4 binary64))))
(fma.f64 (log.f64 u1) (fma.f64 #s(literal -1/18 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 (*.f64 (PI.f64) u2) #s(literal 4 binary64)))) #s(literal -1/36 binary64)) #s(literal -1/4 binary64))
(fma.f64 (log.f64 u1) #s(literal -1/36 binary64) (fma.f64 (cos.f64 (*.f64 (*.f64 (PI.f64) u2) #s(literal 4 binary64))) (*.f64 (log.f64 u1) #s(literal -1/36 binary64)) #s(literal -1/4 binary64)))
(fma.f64 #s(literal -1/18 binary64) (*.f64 (log.f64 u1) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 (*.f64 (PI.f64) u2) #s(literal 4 binary64))) #s(literal 1/2 binary64))) #s(literal -1/4 binary64))
(fma.f64 #s(literal -1/18 binary64) (*.f64 (log.f64 u1) #s(literal 1/2 binary64)) (fma.f64 (cos.f64 (*.f64 (*.f64 (PI.f64) u2) #s(literal 4 binary64))) (*.f64 (log.f64 u1) #s(literal -1/36 binary64)) #s(literal -1/4 binary64)))
(fma.f64 (*.f64 (log.f64 u1) #s(literal -1/18 binary64)) #s(literal 1/2 binary64) (fma.f64 (cos.f64 (*.f64 (*.f64 (PI.f64) u2) #s(literal 4 binary64))) (*.f64 (log.f64 u1) #s(literal -1/36 binary64)) #s(literal -1/4 binary64)))
(fma.f64 (*.f64 (log.f64 u1) #s(literal -1/18 binary64)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 (*.f64 (PI.f64) u2) #s(literal 4 binary64))) #s(literal 1/2 binary64)) #s(literal -1/4 binary64))
(fma.f64 #s(literal 1/2 binary64) (*.f64 (log.f64 u1) #s(literal -1/18 binary64)) (fma.f64 (cos.f64 (*.f64 (*.f64 (PI.f64) u2) #s(literal 4 binary64))) (*.f64 (log.f64 u1) #s(literal -1/36 binary64)) #s(literal -1/4 binary64)))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 (*.f64 (PI.f64) u2) #s(literal 4 binary64))) #s(literal 1/2 binary64)) (*.f64 (log.f64 u1) #s(literal -1/18 binary64)) #s(literal -1/4 binary64))
(fma.f64 (fma.f64 #s(literal -1/18 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 (*.f64 (PI.f64) u2) #s(literal 4 binary64)))) #s(literal -1/36 binary64)) (log.f64 u1) #s(literal -1/4 binary64))
(fma.f64 #s(literal -1/36 binary64) (log.f64 u1) (fma.f64 (cos.f64 (*.f64 (*.f64 (PI.f64) u2) #s(literal 4 binary64))) (*.f64 (log.f64 u1) #s(literal -1/36 binary64)) #s(literal -1/4 binary64)))
(fma.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 (*.f64 (PI.f64) u2) #s(literal 4 binary64))) #s(literal 1/2 binary64)) (log.f64 u1)) #s(literal -1/18 binary64) #s(literal -1/4 binary64))
(fma.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 u1)) #s(literal -1/18 binary64) (fma.f64 (cos.f64 (*.f64 (*.f64 (PI.f64) u2) #s(literal 4 binary64))) (*.f64 (log.f64 u1) #s(literal -1/36 binary64)) #s(literal -1/4 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 (log.f64 u1) #s(literal -1/18 binary64)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 (*.f64 (PI.f64) u2) #s(literal 4 binary64))) #s(literal 1/2 binary64))) #s(literal 2 binary64)) (-.f64 #s(literal 1/16 binary64) (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 (*.f64 (PI.f64) u2) #s(literal 4 binary64))) #s(literal 1/2 binary64)) (*.f64 (log.f64 u1) #s(literal 1/72 binary64))))) (+.f64 (pow.f64 (*.f64 (*.f64 (log.f64 u1) #s(literal -1/18 binary64)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 (*.f64 (PI.f64) u2) #s(literal 4 binary64))) #s(literal 1/2 binary64))) #s(literal 3 binary64)) #s(literal -1/64 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 (log.f64 u1) #s(literal -1/18 binary64)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 (*.f64 (PI.f64) u2) #s(literal 4 binary64))) #s(literal 1/2 binary64)) #s(literal 1/4 binary64)) (+.f64 (pow.f64 (*.f64 (*.f64 (log.f64 u1) #s(literal -1/18 binary64)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 (*.f64 (PI.f64) u2) #s(literal 4 binary64))) #s(literal 1/2 binary64))) #s(literal 2 binary64)) #s(literal -1/16 binary64))))
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 (log.f64 u1) #s(literal -1/18 binary64)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 (*.f64 (PI.f64) u2) #s(literal 4 binary64))) #s(literal 1/2 binary64))) #s(literal 3 binary64)) #s(literal -1/64 binary64)) (+.f64 (pow.f64 (*.f64 (*.f64 (log.f64 u1) #s(literal -1/18 binary64)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 (*.f64 (PI.f64) u2) #s(literal 4 binary64))) #s(literal 1/2 binary64))) #s(literal 2 binary64)) (-.f64 #s(literal 1/16 binary64) (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 (*.f64 (PI.f64) u2) #s(literal 4 binary64))) #s(literal 1/2 binary64)) (*.f64 (log.f64 u1) #s(literal 1/72 binary64))))))
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 (log.f64 u1) #s(literal -1/18 binary64)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 (*.f64 (PI.f64) u2) #s(literal 4 binary64))) #s(literal 1/2 binary64))) #s(literal 3 binary64)) #s(literal -1/64 binary64)) (+.f64 #s(literal 1/16 binary64) (-.f64 (pow.f64 (*.f64 (*.f64 (log.f64 u1) #s(literal -1/18 binary64)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 (*.f64 (PI.f64) u2) #s(literal 4 binary64))) #s(literal 1/2 binary64))) #s(literal 2 binary64)) (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 (*.f64 (PI.f64) u2) #s(literal 4 binary64))) #s(literal 1/2 binary64)) (*.f64 (log.f64 u1) #s(literal 1/72 binary64))))))
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 (log.f64 u1) #s(literal -1/18 binary64)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 (*.f64 (PI.f64) u2) #s(literal 4 binary64))) #s(literal 1/2 binary64))) #s(literal 2 binary64)) #s(literal -1/16 binary64)) (fma.f64 (*.f64 (log.f64 u1) #s(literal -1/18 binary64)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 (*.f64 (PI.f64) u2) #s(literal 4 binary64))) #s(literal 1/2 binary64)) #s(literal 1/4 binary64)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 (*.f64 (log.f64 u1) #s(literal -1/18 binary64)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 (*.f64 (PI.f64) u2) #s(literal 4 binary64))) #s(literal 1/2 binary64))) #s(literal 3 binary64)) #s(literal -1/64 binary64))) (neg.f64 (+.f64 (pow.f64 (*.f64 (*.f64 (log.f64 u1) #s(literal -1/18 binary64)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 (*.f64 (PI.f64) u2) #s(literal 4 binary64))) #s(literal 1/2 binary64))) #s(literal 2 binary64)) (-.f64 #s(literal 1/16 binary64) (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 (*.f64 (PI.f64) u2) #s(literal 4 binary64))) #s(literal 1/2 binary64)) (*.f64 (log.f64 u1) #s(literal 1/72 binary64)))))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 (*.f64 (log.f64 u1) #s(literal -1/18 binary64)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 (*.f64 (PI.f64) u2) #s(literal 4 binary64))) #s(literal 1/2 binary64))) #s(literal 2 binary64)) #s(literal -1/16 binary64))) (neg.f64 (fma.f64 (*.f64 (log.f64 u1) #s(literal -1/18 binary64)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 (*.f64 (PI.f64) u2) #s(literal 4 binary64))) #s(literal 1/2 binary64)) #s(literal 1/4 binary64))))
(/.f64 (-.f64 #s(literal 1/16 binary64) (pow.f64 (*.f64 (*.f64 (log.f64 u1) #s(literal -1/18 binary64)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 (*.f64 (PI.f64) u2) #s(literal 4 binary64))) #s(literal 1/2 binary64))) #s(literal 2 binary64))) (-.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 (log.f64 u1) #s(literal -1/18 binary64)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 (*.f64 (PI.f64) u2) #s(literal 4 binary64))) #s(literal 1/2 binary64)))))
(*.f64 (+.f64 (pow.f64 (*.f64 (*.f64 (log.f64 u1) #s(literal -1/18 binary64)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 (*.f64 (PI.f64) u2) #s(literal 4 binary64))) #s(literal 1/2 binary64))) #s(literal 3 binary64)) #s(literal -1/64 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (*.f64 (*.f64 (log.f64 u1) #s(literal -1/18 binary64)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 (*.f64 (PI.f64) u2) #s(literal 4 binary64))) #s(literal 1/2 binary64))) #s(literal 2 binary64)) (-.f64 #s(literal 1/16 binary64) (*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 (*.f64 (PI.f64) u2) #s(literal 4 binary64))) #s(literal 1/2 binary64)) (*.f64 (log.f64 u1) #s(literal 1/72 binary64)))))))
(*.f64 (+.f64 (pow.f64 (*.f64 (*.f64 (log.f64 u1) #s(literal -1/18 binary64)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 (*.f64 (PI.f64) u2) #s(literal 4 binary64))) #s(literal 1/2 binary64))) #s(literal 2 binary64)) #s(literal -1/16 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (log.f64 u1) #s(literal -1/18 binary64)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 (*.f64 (PI.f64) u2) #s(literal 4 binary64))) #s(literal 1/2 binary64)) #s(literal 1/4 binary64))))
(*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))
(*.f64 (*.f64 (PI.f64) u2) #s(literal 4 binary64))
(*.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)) #s(literal 2 binary64))
(*.f64 #s(literal 4 binary64) (*.f64 (PI.f64) u2))
(*.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) (*.f64 u2 #s(literal 2 binary64)))
(*.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (PI.f64))) u2)
(*.f64 (*.f64 #s(literal 4 binary64) (PI.f64)) u2)
(*.f64 (*.f64 #s(literal 4 binary64) u2) (PI.f64))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 (*.f64 (PI.f64) u2) #s(literal 4 binary64)))))
(+.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 (*.f64 (PI.f64) u2) #s(literal 4 binary64)))) #s(literal 1/2 binary64))
(-.f64 (/.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 (*.f64 (PI.f64) u2) #s(literal 4 binary64)))))) (/.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 (*.f64 (PI.f64) u2) #s(literal 4 binary64)))) #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 (*.f64 (PI.f64) u2) #s(literal 4 binary64)))))))
(fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 (*.f64 (PI.f64) u2) #s(literal 4 binary64))) #s(literal 1/2 binary64))
(fma.f64 (cos.f64 (*.f64 (*.f64 (PI.f64) u2) #s(literal 4 binary64))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 (*.f64 (PI.f64) u2) #s(literal 4 binary64)))) (-.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 (*.f64 (PI.f64) u2) #s(literal 4 binary64)))) #s(literal 1/2 binary64)) #s(literal 1/4 binary64)) (fma.f64 #s(literal 1/8 binary64) (pow.f64 (cos.f64 (*.f64 (*.f64 (PI.f64) u2) #s(literal 4 binary64))) #s(literal 3 binary64)) #s(literal 1/8 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 (*.f64 (PI.f64) u2) #s(literal 4 binary64))))) (-.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 (*.f64 (PI.f64) u2) #s(literal 4 binary64)))) #s(literal 2 binary64)))))
(/.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 (cos.f64 (*.f64 (*.f64 (PI.f64) u2) #s(literal 4 binary64))) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (fma.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 (*.f64 (PI.f64) u2) #s(literal 4 binary64)))) (-.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 (*.f64 (PI.f64) u2) #s(literal 4 binary64)))) #s(literal 1/2 binary64)) #s(literal 1/4 binary64)))
(/.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 (cos.f64 (*.f64 (*.f64 (PI.f64) u2) #s(literal 4 binary64))) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (+.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 (*.f64 (PI.f64) u2) #s(literal 4 binary64)))) #s(literal 2 binary64)) (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/4 binary64) (cos.f64 (*.f64 (*.f64 (PI.f64) u2) #s(literal 4 binary64)))))))
(/.f64 (-.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 (*.f64 (PI.f64) u2) #s(literal 4 binary64)))) #s(literal 2 binary64))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 (*.f64 (PI.f64) u2) #s(literal 4 binary64))))))
(/.f64 (+.f64 (cos.f64 (fma.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2) (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))) (cos.f64 (-.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)) (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))))) #s(literal 2 binary64))
(/.f64 (neg.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 (cos.f64 (*.f64 (*.f64 (PI.f64) u2) #s(literal 4 binary64))) #s(literal 3 binary64)) #s(literal 1/8 binary64))) (neg.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 (*.f64 (PI.f64) u2) #s(literal 4 binary64)))) (-.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 (*.f64 (PI.f64) u2) #s(literal 4 binary64)))) #s(literal 1/2 binary64)) #s(literal 1/4 binary64))))
(/.f64 (neg.f64 (-.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 (*.f64 (PI.f64) u2) #s(literal 4 binary64)))) #s(literal 2 binary64)))) (neg.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 (*.f64 (PI.f64) u2) #s(literal 4 binary64)))))))
(/.f64 (-.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 (*.f64 (PI.f64) u2) #s(literal 4 binary64)))) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 (*.f64 (PI.f64) u2) #s(literal 4 binary64)))) #s(literal 1/2 binary64)))
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(*.f64 (fma.f64 (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal 1/6 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64))
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(+.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal 1/6 binary64)))
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(-.f64 (/.f64 (*.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)) #s(literal 1/36 binary64)) (fma.f64 (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal 1/6 binary64) #s(literal 1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (fma.f64 (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal 1/6 binary64) #s(literal 1/2 binary64))))
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(fma.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal -1/2 binary64))
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(fma.f64 (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 (log.f64 u1))) (sqrt.f64 #s(literal -2 binary64)) #s(literal -1/2 binary64))
(fma.f64 (*.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -2 binary64))) (sqrt.f64 (log.f64 u1)) #s(literal -1/2 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal 1/6 binary64) #s(literal -1/2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (fma.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)) #s(literal 1/36 binary64) #s(literal 1/4 binary64)) (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal -1/12 binary64))) (fma.f64 (pow.f64 (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal 3 binary64)) #s(literal 1/216 binary64) #s(literal -1/8 binary64))))
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(/.f64 (-.f64 #s(literal 0 binary64) (fma.f64 (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal 1/6 binary64) #s(literal -1/2 binary64))) #s(literal -1 binary64))
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(*.f64 (fma.f64 (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal 1/6 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64))
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(*.f64 (fma.f64 (pow.f64 (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal 3 binary64)) #s(literal 1/216 binary64) #s(literal -1/8 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)) #s(literal 1/36 binary64) #s(literal 1/4 binary64)) (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal -1/12 binary64)))))

simplify558.0ms (4.2%)

Memory
-11.5MiB live, 894.3MiB allocated
Algorithm
1×egg-herbie
Rules
10 918×accelerator-lowering-fma.f32
10 918×accelerator-lowering-fma.f64
6 916×*-lowering-*.f32
6 916×*-lowering-*.f64
3 482×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02906556
18586235
230666153
368086153
080275751
Stop Event
1×iter limit
1×node limit
Counts
360 → 360
Calls
Call 1
Inputs
(- (* -1/18 (* (log u1) (+ 1/2 (* 1/2 (cos (* 4 (* u2 (PI)))))))) 1/4)
(- (* -1/18 (* (log u1) (+ 1/2 (* 1/2 (cos (* 4 (* u2 (PI)))))))) 1/4)
(- (* -1/18 (* (log u1) (+ 1/2 (* 1/2 (cos (* 4 (* u2 (PI)))))))) 1/4)
(- (* -1/18 (* (log u1) (+ 1/2 (* 1/2 (cos (* 4 (* u2 (PI)))))))) 1/4)
(- (* 1/18 (* (log (/ 1 u1)) (+ 1/2 (* 1/2 (cos (* 4 (* u2 (PI)))))))) 1/4)
(- (* 1/18 (* (log (/ 1 u1)) (+ 1/2 (* 1/2 (cos (* 4 (* u2 (PI)))))))) 1/4)
(- (* 1/18 (* (log (/ 1 u1)) (+ 1/2 (* 1/2 (cos (* 4 (* u2 (PI)))))))) 1/4)
(- (* 1/18 (* (log (/ 1 u1)) (+ 1/2 (* 1/2 (cos (* 4 (* u2 (PI)))))))) 1/4)
(- (* -1/18 (* (+ 1/2 (* 1/2 (cos (* 4 (* u2 (PI)))))) (+ (log -1) (* -1 (log (/ -1 u1)))))) 1/4)
(- (* -1/18 (* (+ 1/2 (* 1/2 (cos (* 4 (* u2 (PI)))))) (+ (log -1) (* -1 (log (/ -1 u1)))))) 1/4)
(- (* -1/18 (* (+ 1/2 (* 1/2 (cos (* 4 (* u2 (PI)))))) (+ (log -1) (* -1 (log (/ -1 u1)))))) 1/4)
(- (* -1/18 (* (+ 1/2 (* 1/2 (cos (* 4 (* u2 (PI)))))) (+ (log -1) (* -1 (log (/ -1 u1)))))) 1/4)
(- (* -1/18 (log u1)) 1/4)
(- (+ (* -1/18 (log u1)) (* 2/9 (* (pow u2 2) (* (pow (PI) 2) (log u1))))) 1/4)
(- (+ (* -1/18 (log u1)) (* (pow u2 2) (+ (* -8/27 (* (pow u2 2) (* (pow (PI) 4) (log u1)))) (* 2/9 (* (pow (PI) 2) (log u1)))))) 1/4)
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(- (* -1/18 (* (log u1) (+ 1/2 (* 1/2 (cos (* 4 (* u2 (PI)))))))) 1/4)
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(* 1/6 (* (* (sqrt -1) (sqrt 2)) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))))
(* 1/6 (* (* (sqrt -1) (sqrt 2)) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))))
(* 1/6 (* (* (sqrt -1) (sqrt 2)) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))))
(* 1/6 (* (* (sqrt -1) (sqrt 2)) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))))
(/ (- (* -1/18 (log u1)) 1/4) (- (* 1/6 (* (sqrt (log u1)) (sqrt -2))) 1/2))
(/ (- (* -1/18 (log u1)) 1/4) (- (* 1/6 (* (sqrt (log u1)) (sqrt -2))) 1/2))
(/ (- (* -1/18 (log u1)) 1/4) (- (* 1/6 (* (sqrt (log u1)) (sqrt -2))) 1/2))
(/ (- (* -1/18 (log u1)) 1/4) (- (* 1/6 (* (sqrt (log u1)) (sqrt -2))) 1/2))
(/ (- (* 1/18 (log (/ 1 u1))) 1/4) (- (* 1/6 (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1)))) 1/2))
(/ (- (* 1/18 (log (/ 1 u1))) 1/4) (- (* 1/6 (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1)))) 1/2))
(/ (- (* 1/18 (log (/ 1 u1))) 1/4) (- (* 1/6 (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1)))) 1/2))
(/ (- (* 1/18 (log (/ 1 u1))) 1/4) (- (* 1/6 (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1)))) 1/2))
(/ (- (* -1/18 (+ (log -1) (* -1 (log (/ -1 u1))))) 1/4) (- (* 1/6 (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))) 1/2))
(/ (- (* -1/18 (+ (log -1) (* -1 (log (/ -1 u1))))) 1/4) (- (* 1/6 (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))) 1/2))
(/ (- (* -1/18 (+ (log -1) (* -1 (log (/ -1 u1))))) 1/4) (- (* 1/6 (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))) 1/2))
(/ (- (* -1/18 (+ (log -1) (* -1 (log (/ -1 u1))))) 1/4) (- (* 1/6 (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))) 1/2))
(- (* -1/18 (log u1)) 1/4)
(- (* -1/18 (log u1)) 1/4)
(- (* -1/18 (log u1)) 1/4)
(- (* -1/18 (log u1)) 1/4)
(- (* 1/18 (log (/ 1 u1))) 1/4)
(- (* 1/18 (log (/ 1 u1))) 1/4)
(- (* 1/18 (log (/ 1 u1))) 1/4)
(- (* 1/18 (log (/ 1 u1))) 1/4)
(- (* -1/18 (+ (log -1) (* -1 (log (/ -1 u1))))) 1/4)
(- (* -1/18 (+ (log -1) (* -1 (log (/ -1 u1))))) 1/4)
(- (* -1/18 (+ (log -1) (* -1 (log (/ -1 u1))))) 1/4)
(- (* -1/18 (+ (log -1) (* -1 (log (/ -1 u1))))) 1/4)
(/ 1 (- (* 1/6 (* (sqrt (log u1)) (sqrt -2))) 1/2))
(/ 1 (- (* 1/6 (* (sqrt (log u1)) (sqrt -2))) 1/2))
(/ 1 (- (* 1/6 (* (sqrt (log u1)) (sqrt -2))) 1/2))
(/ 1 (- (* 1/6 (* (sqrt (log u1)) (sqrt -2))) 1/2))
(/ 1 (- (* 1/6 (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1)))) 1/2))
(/ 1 (- (* 1/6 (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1)))) 1/2))
(/ 1 (- (* 1/6 (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1)))) 1/2))
(/ 1 (- (* 1/6 (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1)))) 1/2))
(/ 1 (- (* 1/6 (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))) 1/2))
(/ 1 (- (* 1/6 (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))) 1/2))
(/ 1 (- (* 1/6 (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))) 1/2))
(/ 1 (- (* 1/6 (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))) 1/2))
(* (log u1) (pow (sqrt -2) 2))
(* (log u1) (pow (sqrt -2) 2))
(* (log u1) (pow (sqrt -2) 2))
(* (log u1) (pow (sqrt -2) 2))
(* -1 (* (log (/ 1 u1)) (pow (sqrt -2) 2)))
(* -1 (* (log (/ 1 u1)) (pow (sqrt -2) 2)))
(* -1 (* (log (/ 1 u1)) (pow (sqrt -2) 2)))
(* -1 (* (log (/ 1 u1)) (pow (sqrt -2) 2)))
(* (pow (sqrt -2) 2) (+ (log -1) (* -1 (log (/ -1 u1)))))
(* (pow (sqrt -2) 2) (+ (log -1) (* -1 (log (/ -1 u1)))))
(* (pow (sqrt -2) 2) (+ (log -1) (* -1 (log (/ -1 u1)))))
(* (pow (sqrt -2) 2) (+ (log -1) (* -1 (log (/ -1 u1)))))
(- (* 1/36 (* (log u1) (pow (sqrt -2) 2))) 1/4)
(- (* 1/36 (* (log u1) (pow (sqrt -2) 2))) 1/4)
(- (* 1/36 (* (log u1) (pow (sqrt -2) 2))) 1/4)
(- (* 1/36 (* (log u1) (pow (sqrt -2) 2))) 1/4)
(- (* -1/36 (* (log (/ 1 u1)) (pow (sqrt -2) 2))) 1/4)
(- (* -1/36 (* (log (/ 1 u1)) (pow (sqrt -2) 2))) 1/4)
(- (* -1/36 (* (log (/ 1 u1)) (pow (sqrt -2) 2))) 1/4)
(- (* -1/36 (* (log (/ 1 u1)) (pow (sqrt -2) 2))) 1/4)
(- (* 1/36 (* (pow (sqrt -2) 2) (+ (log -1) (* -1 (log (/ -1 u1)))))) 1/4)
(- (* 1/36 (* (pow (sqrt -2) 2) (+ (log -1) (* -1 (log (/ -1 u1)))))) 1/4)
(- (* 1/36 (* (pow (sqrt -2) 2) (+ (log -1) (* -1 (log (/ -1 u1)))))) 1/4)
(- (* 1/36 (* (pow (sqrt -2) 2) (+ (log -1) (* -1 (log (/ -1 u1)))))) 1/4)
(/ (- (* 1/36 (* (log u1) (pow (sqrt -2) 2))) 1/4) (- (* 1/6 (* (sqrt (log u1)) (sqrt -2))) 1/2))
(/ (- (* 1/36 (* (log u1) (pow (sqrt -2) 2))) 1/4) (- (* 1/6 (* (sqrt (log u1)) (sqrt -2))) 1/2))
(/ (- (* 1/36 (* (log u1) (pow (sqrt -2) 2))) 1/4) (- (* 1/6 (* (sqrt (log u1)) (sqrt -2))) 1/2))
(/ (- (* 1/36 (* (log u1) (pow (sqrt -2) 2))) 1/4) (- (* 1/6 (* (sqrt (log u1)) (sqrt -2))) 1/2))
(/ (- (* -1/36 (* (log (/ 1 u1)) (pow (sqrt -2) 2))) 1/4) (- (* 1/6 (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1)))) 1/2))
(/ (- (* -1/36 (* (log (/ 1 u1)) (pow (sqrt -2) 2))) 1/4) (- (* 1/6 (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1)))) 1/2))
(/ (- (* -1/36 (* (log (/ 1 u1)) (pow (sqrt -2) 2))) 1/4) (- (* 1/6 (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1)))) 1/2))
(/ (- (* -1/36 (* (log (/ 1 u1)) (pow (sqrt -2) 2))) 1/4) (- (* 1/6 (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1)))) 1/2))
(/ (- (* 1/36 (* (pow (sqrt -2) 2) (+ (log -1) (* -1 (log (/ -1 u1)))))) 1/4) (- (* 1/6 (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))) 1/2))
(/ (- (* 1/36 (* (pow (sqrt -2) 2) (+ (log -1) (* -1 (log (/ -1 u1)))))) 1/4) (- (* 1/6 (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))) 1/2))
(/ (- (* 1/36 (* (pow (sqrt -2) 2) (+ (log -1) (* -1 (log (/ -1 u1)))))) 1/4) (- (* 1/6 (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))) 1/2))
(/ (- (* 1/36 (* (pow (sqrt -2) 2) (+ (log -1) (* -1 (log (/ -1 u1)))))) 1/4) (- (* 1/6 (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))) 1/2))
(* (sqrt (log u1)) (sqrt -2))
(* (sqrt (log u1)) (sqrt -2))
(* (sqrt (log u1)) (sqrt -2))
(* (sqrt (log u1)) (sqrt -2))
(* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1)))
(* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1)))
(* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1)))
(* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1)))
(* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))
(* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))
(* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))
(* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))
(- (* 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)))) 1/2)
(* -1/18 (log u1))
(* -1/18 (log u1))
(* -1/18 (log u1))
(* -1/18 (log u1))
(* 1/18 (log (/ 1 u1)))
(* 1/18 (log (/ 1 u1)))
(* 1/18 (log (/ 1 u1)))
(* 1/18 (log (/ 1 u1)))
(* -1/18 (+ (log -1) (* -1 (log (/ -1 u1)))))
(* -1/18 (+ (log -1) (* -1 (log (/ -1 u1)))))
(* -1/18 (+ (log -1) (* -1 (log (/ -1 u1)))))
(* -1/18 (+ (log -1) (* -1 (log (/ -1 u1)))))
(* 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 2)))
(* (sqrt (log u1)) (* (sqrt -1) (sqrt 2)))
(* (sqrt (log u1)) (* (sqrt -1) (sqrt 2)))
(* (sqrt (log u1)) (* (sqrt -1) (sqrt 2)))
(* (sqrt (log (/ 1 u1))) (* (pow (sqrt -1) 2) (sqrt 2)))
(* (sqrt (log (/ 1 u1))) (* (pow (sqrt -1) 2) (sqrt 2)))
(* (sqrt (log (/ 1 u1))) (* (pow (sqrt -1) 2) (sqrt 2)))
(* (sqrt (log (/ 1 u1))) (* (pow (sqrt -1) 2) (sqrt 2)))
(* (* (sqrt -1) (sqrt 2)) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))
(* (* (sqrt -1) (sqrt 2)) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))
(* (* (sqrt -1) (sqrt 2)) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))
(* (* (sqrt -1) (sqrt 2)) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))
(* -2 (* u2 (pow (PI) 2)))
(* -2 (* u2 (pow (PI) 2)))
(* -2 (* u2 (pow (PI) 2)))
(* -2 (* u2 (pow (PI) 2)))
(* -2 (* u2 (pow (PI) 2)))
(* -2 (* u2 (pow (PI) 2)))
(* -2 (* u2 (pow (PI) 2)))
(* -2 (* u2 (pow (PI) 2)))
(* -2 (* u2 (pow (PI) 2)))
(* -2 (* u2 (pow (PI) 2)))
(* -2 (* u2 (pow (PI) 2)))
(* -2 (* u2 (pow (PI) 2)))
(- (* 1/6 (* (sqrt (log u1)) (sqrt -2))) 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)
(- (* 1/6 (* (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
(- (* -1/18 (* (log u1) (+ 1/2 (* 1/2 (cos (* 4 (* u2 (PI)))))))) 1/4)
(fma.f64 #s(literal -1/18 binary64) (*.f64 (log.f64 u1) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 u2 (*.f64 (PI.f64) #s(literal 4 binary64)))) #s(literal 1/2 binary64))) #s(literal -1/4 binary64))
(- (* -1/18 (* (log u1) (+ 1/2 (* 1/2 (cos (* 4 (* u2 (PI)))))))) 1/4)
(fma.f64 #s(literal -1/18 binary64) (*.f64 (log.f64 u1) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 u2 (*.f64 (PI.f64) #s(literal 4 binary64)))) #s(literal 1/2 binary64))) #s(literal -1/4 binary64))
(- (* -1/18 (* (log u1) (+ 1/2 (* 1/2 (cos (* 4 (* u2 (PI)))))))) 1/4)
(fma.f64 #s(literal -1/18 binary64) (*.f64 (log.f64 u1) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 u2 (*.f64 (PI.f64) #s(literal 4 binary64)))) #s(literal 1/2 binary64))) #s(literal -1/4 binary64))
(- (* -1/18 (* (log u1) (+ 1/2 (* 1/2 (cos (* 4 (* u2 (PI)))))))) 1/4)
(fma.f64 #s(literal -1/18 binary64) (*.f64 (log.f64 u1) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 u2 (*.f64 (PI.f64) #s(literal 4 binary64)))) #s(literal 1/2 binary64))) #s(literal -1/4 binary64))
(- (* 1/18 (* (log (/ 1 u1)) (+ 1/2 (* 1/2 (cos (* 4 (* u2 (PI)))))))) 1/4)
(fma.f64 #s(literal -1/18 binary64) (*.f64 (log.f64 u1) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 u2 (*.f64 (PI.f64) #s(literal 4 binary64)))) #s(literal 1/2 binary64))) #s(literal -1/4 binary64))
(- (* 1/18 (* (log (/ 1 u1)) (+ 1/2 (* 1/2 (cos (* 4 (* u2 (PI)))))))) 1/4)
(fma.f64 #s(literal -1/18 binary64) (*.f64 (log.f64 u1) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 u2 (*.f64 (PI.f64) #s(literal 4 binary64)))) #s(literal 1/2 binary64))) #s(literal -1/4 binary64))
(- (* 1/18 (* (log (/ 1 u1)) (+ 1/2 (* 1/2 (cos (* 4 (* u2 (PI)))))))) 1/4)
(fma.f64 #s(literal -1/18 binary64) (*.f64 (log.f64 u1) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 u2 (*.f64 (PI.f64) #s(literal 4 binary64)))) #s(literal 1/2 binary64))) #s(literal -1/4 binary64))
(- (* 1/18 (* (log (/ 1 u1)) (+ 1/2 (* 1/2 (cos (* 4 (* u2 (PI)))))))) 1/4)
(fma.f64 #s(literal -1/18 binary64) (*.f64 (log.f64 u1) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 u2 (*.f64 (PI.f64) #s(literal 4 binary64)))) #s(literal 1/2 binary64))) #s(literal -1/4 binary64))
(- (* -1/18 (* (+ 1/2 (* 1/2 (cos (* 4 (* u2 (PI)))))) (+ (log -1) (* -1 (log (/ -1 u1)))))) 1/4)
(fma.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 u2 (*.f64 (PI.f64) #s(literal 4 binary64)))) #s(literal 1/2 binary64)) (*.f64 #s(literal -1/18 binary64) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) u1)))) #s(literal -1/4 binary64))
(- (* -1/18 (* (+ 1/2 (* 1/2 (cos (* 4 (* u2 (PI)))))) (+ (log -1) (* -1 (log (/ -1 u1)))))) 1/4)
(fma.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 u2 (*.f64 (PI.f64) #s(literal 4 binary64)))) #s(literal 1/2 binary64)) (*.f64 #s(literal -1/18 binary64) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) u1)))) #s(literal -1/4 binary64))
(- (* -1/18 (* (+ 1/2 (* 1/2 (cos (* 4 (* u2 (PI)))))) (+ (log -1) (* -1 (log (/ -1 u1)))))) 1/4)
(fma.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 u2 (*.f64 (PI.f64) #s(literal 4 binary64)))) #s(literal 1/2 binary64)) (*.f64 #s(literal -1/18 binary64) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) u1)))) #s(literal -1/4 binary64))
(- (* -1/18 (* (+ 1/2 (* 1/2 (cos (* 4 (* u2 (PI)))))) (+ (log -1) (* -1 (log (/ -1 u1)))))) 1/4)
(fma.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 u2 (*.f64 (PI.f64) #s(literal 4 binary64)))) #s(literal 1/2 binary64)) (*.f64 #s(literal -1/18 binary64) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) u1)))) #s(literal -1/4 binary64))
(- (* -1/18 (log u1)) 1/4)
(fma.f64 #s(literal -1/18 binary64) (log.f64 u1) #s(literal -1/4 binary64))
(- (+ (* -1/18 (log u1)) (* 2/9 (* (pow u2 2) (* (pow (PI) 2) (log u1))))) 1/4)
(fma.f64 (log.f64 u1) (fma.f64 (*.f64 u2 u2) (*.f64 #s(literal 2/9 binary64) (*.f64 (PI.f64) (PI.f64))) #s(literal -1/18 binary64)) #s(literal -1/4 binary64))
(- (+ (* -1/18 (log u1)) (* (pow u2 2) (+ (* -8/27 (* (pow u2 2) (* (pow (PI) 4) (log u1)))) (* 2/9 (* (pow (PI) 2) (log u1)))))) 1/4)
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(fma.f64 (sqrt.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) u1)))) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -2 binary64))) #s(literal -1/2 binary64))
(- (* 1/6 (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))) 1/2)
(fma.f64 (sqrt.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) u1)))) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -2 binary64))) #s(literal -1/2 binary64))
(- (* 1/6 (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))) 1/2)
(fma.f64 (sqrt.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) u1)))) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -2 binary64))) #s(literal -1/2 binary64))

eval120.0ms (0.9%)

Memory
49.8MiB live, 314.1MiB allocated
Compiler

Compiled 30 427 to 2 052 computations (93.3% saved)

prune179.0ms (1.3%)

Memory
-74.8MiB live, 219.5MiB allocated
Pruning

15 alts after pruning (12 fresh and 3 done)

PrunedKeptTotal
New1 06891 077
Fresh9312
Picked415
Done022
Total1 081151 096
Accuracy
100.0%
Counts
1 096 → 15
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.0%
(fma.f64 (*.f64 (fma.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal -2 binary64))) (*.f64 u2 u2) #s(literal 1 binary64)) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (-.f64 #s(literal 0 binary64) (log.f64 u1))))) (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64))
99.0%
(fma.f64 (*.f64 (fma.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal -2 binary64))) (*.f64 u2 u2) #s(literal 1 binary64)) #s(literal 1/6 binary64)) (sqrt.f64 (neg.f64 (*.f64 (log.f64 u1) #s(literal 2 binary64)))) #s(literal 1/2 binary64))
99.0%
(fma.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal 1/6 binary64)) (fma.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 #s(literal -2 binary64) (*.f64 u2 u2))) #s(literal 1 binary64)) #s(literal 1/2 binary64))
✓99.4%
(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))
98.8%
(fma.f64 (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (-.f64 #s(literal 0 binary64) (log.f64 u1)))) (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64))
98.8%
(fma.f64 (sqrt.f64 (*.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 u1) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (log.f64 u1)))) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/2 binary64))
✓98.7%
(fma.f64 (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal 1/6 binary64) #s(literal 1/2 binary64))
98.9%
(fma.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/2 binary64))
99.1%
(/.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 (*.f64 (PI.f64) u2) #s(literal 4 binary64))) #s(literal 1/2 binary64)) (*.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 #s(literal 1/6 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))) #s(literal -1/2 binary64)))
98.4%
(/.f64 (fma.f64 (log.f64 u1) #s(literal -1/18 binary64) #s(literal -1/4 binary64)) (fma.f64 (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal 1/6 binary64) #s(literal -1/2 binary64)))
98.4%
(/.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))))
98.4%
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 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))))
98.5%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal 1/6 binary64) #s(literal 1/2 binary64))))
98.8%
(+.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) (*.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (log.f64 u1))) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64))
✓98.4%
(*.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 1 567 to 483 computations (69.2% saved)

regimes197.0ms (1.5%)

Memory
22.8MiB live, 332.0MiB allocated
Counts
59 → 1
Calls
Call 1
Inputs
(fma.f64 (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal 1/6 binary64) #s(literal 1/2 binary64))
(fma.f64 (sqrt.f64 (log.f64 u1)) (*.f64 (sqrt.f64 #s(literal -2 binary64)) #s(literal 1/6 binary64)) #s(literal 1/2 binary64))
(fma.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/2 binary64))
(fma.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (log.f64 u1))) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/2 binary64))
(fma.f64 (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (-.f64 #s(literal 0 binary64) (log.f64 u1)))) (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal 1/2 binary64))))
(/.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 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (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)) (fma.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 #s(literal -2 binary64) (*.f64 u2 u2))) #s(literal 1 binary64)) #s(literal 1/2 binary64))
(fma.f64 (*.f64 (fma.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal -2 binary64))) (*.f64 u2 u2) #s(literal 1 binary64)) #s(literal 1/6 binary64)) (sqrt.f64 (neg.f64 (*.f64 (log.f64 u1) #s(literal 2 binary64)))) #s(literal 1/2 binary64))
(+.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) (*.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (log.f64 u1))) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64))
(fma.f64 (*.f64 (fma.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal -2 binary64))) (*.f64 u2 u2) #s(literal 1 binary64)) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (-.f64 #s(literal 0 binary64) (log.f64 u1))))) (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64))
(+.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) (*.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (log.f64 u1))) (sqrt.f64 #s(literal 2 binary64)))) (fma.f64 u2 (*.f64 u2 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal -2 binary64))) #s(literal 1 binary64))) #s(literal 1/2 binary64))
(fma.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal 1/6 binary64)) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))) #s(literal 1/2 binary64))
(/.f64 (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 (fma.f64 (log.f64 u1) #s(literal -1/18 binary64) #s(literal -1/4 binary64)) (fma.f64 (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal 1/6 binary64) #s(literal -1/2 binary64)))
(/.f64 (-.f64 (*.f64 (log.f64 u1) #s(literal -1/18 binary64)) #s(literal 1/4 binary64)) (fma.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal -1/2 binary64)))
(/.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 (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 (*.f64 (log.f64 u1) #s(literal -2 binary64)) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) (fma.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal -1/2 binary64)))
(/.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)) #s(literal 1/36 binary64))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))))))
(*.f64 (fma.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal -1/2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 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))))
(/.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 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))))) (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)) #s(literal 1/36 binary64)))))
(+.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) (*.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (log.f64 u1))) (sqrt.f64 #s(literal 2 binary64)))) (cos.f64 (*.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) u2))) #s(literal 1/2 binary64))
(fma.f64 (pow.f64 (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/4 binary64)) #s(literal 2 binary64)) #s(literal 1/6 binary64) #s(literal 1/2 binary64))
(fma.f64 (exp.f64 (*.f64 (log.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal 1/2 binary64))) #s(literal 1/6 binary64) #s(literal 1/2 binary64))
(+.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) (pow.f64 (*.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 (sqrt.f64 (*.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 u1) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (log.f64 u1)))) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/2 binary64))
(/.f64 (fma.f64 (pow.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal 2 binary64)) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) (fma.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal -1/2 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal 1/6 binary64) #s(literal -1/2 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (log.f64 u1) #s(literal -1/18 binary64) #s(literal -1/4 binary64))) #s(literal -1 binary64)))
(fma.f64 (log.f64 u1) (/.f64 #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))))
(-.f64 (/.f64 (*.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)) #s(literal 1/36 binary64)) (fma.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal -1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal -1/2 binary64))))
(/.f64 (fma.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)) (fma.f64 (*.f64 (*.f64 u2 u2) #s(literal -1/9 binary64)) (*.f64 (PI.f64) (PI.f64)) #s(literal 1/36 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)))
(fma.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)) #s(literal 1/8 binary64))) (pow.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)) #s(literal 3/8 binary64)) #s(literal 1/2 binary64))
(fma.f64 (pow.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)) #s(literal 1/8 binary64)) (*.f64 #s(literal 1/6 binary64) (pow.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)) #s(literal 3/8 binary64))) #s(literal 1/2 binary64))
(fma.f64 (pow.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)) #s(literal 1/4 binary64)) (*.f64 #s(literal 1/6 binary64) (pow.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)) #s(literal 1/4 binary64))) #s(literal 1/2 binary64))
(+.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) (pow.f64 (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/4 binary64)) #s(literal 2 binary64))) (cos.f64 (*.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) u2))) #s(literal 1/2 binary64))
(+.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) (pow.f64 (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 2 binary64)) #s(literal 1/4 binary64))) (cos.f64 (*.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) u2))) #s(literal 1/2 binary64))
(+.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) (exp.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)))))) (cos.f64 (*.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) u2))) #s(literal 1/2 binary64))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))) (*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))) #s(literal 1/2 binary64)))) #s(literal -1 binary64)))
(/.f64 (fma.f64 #s(literal 1/216 binary64) (pow.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)) #s(literal 3/2 binary64)) #s(literal 1/8 binary64)) (-.f64 (fma.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)) #s(literal 1/36 binary64) #s(literal 1/4 binary64)) (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal 1/12 binary64))))
(*.f64 (fma.f64 #s(literal 1/216 binary64) (pow.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)) #s(literal 3/2 binary64)) #s(literal 1/8 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)) #s(literal 1/36 binary64) #s(literal 1/4 binary64)) (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal 1/12 binary64)))))
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)) #s(literal 1/36 binary64)) #s(literal 2 binary64)) #s(literal 1/16 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)) #s(literal 1/36 binary64) #s(literal 1/4 binary64)) (fma.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal -1/2 binary64))))
(/.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 (*.f64 (PI.f64) u2) #s(literal 4 binary64))) #s(literal 1/2 binary64)) (*.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 #s(literal 1/6 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))) #s(literal -1/2 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 #s(literal 2 binary64) (*.f64 (PI.f64) 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 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))) #s(literal -1/2 binary64)))
(/.f64 (fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))))) (*.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)) #s(literal 1/36 binary64)) #s(literal -1/4 binary64)) (fma.f64 (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))) (*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))) #s(literal -1/2 binary64)))
(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 (fma.f64 #s(literal 1/36 binary64) (pow.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))) #s(literal 2 binary64)) #s(literal -1/4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))) #s(literal -1/2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))) #s(literal -1/6 binary64))) (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal -1/36 binary64) (pow.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))) #s(literal 2 binary64))))))
(/.f64 (fma.f64 (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))) (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)))) (*.f64 (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))) (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)))) #s(literal 1/36 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 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) (*.f64 (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/8 binary64)) (*.f64 (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/8 binary64)) (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/4 binary64))))) (cos.f64 (*.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) u2))) #s(literal 1/2 binary64))
(/.f64 (fma.f64 #s(literal 1/216 binary64) (pow.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (fma.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))))) (fma.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))) #s(literal -1/2 binary64)) #s(literal 1/4 binary64)))
(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)))))
Outputs
(+.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))
Calls

10 calls:

40.0ms
(log.f64 u1)
25.0ms
(*.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) u2)
18.0ms
(*.f64 #s(literal -2 binary64) (log.f64 u1))
18.0ms
u2
17.0ms
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/2 binary64))) (cos.f64 (*.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) u2)))
Results
AccuracySegmentsBranch
99.5%1u1
99.5%1u2
99.5%1(+.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/2 binary64))) (cos.f64 (*.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) u2))) #s(literal 1/2 binary64))
99.5%1(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/2 binary64))) (cos.f64 (*.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) u2)))
99.5%1(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/2 binary64)))
99.5%1(pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/2 binary64))
99.5%1(*.f64 #s(literal -2 binary64) (log.f64 u1))
99.5%1(log.f64 u1)
99.5%1(cos.f64 (*.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) u2))
99.5%1(*.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) u2)
Compiler

Compiled 91 to 78 computations (14.3% saved)

regimes78.0ms (0.6%)

Memory
-18.6MiB live, 152.7MiB allocated
Counts
25 → 1
Calls
Call 1
Inputs
(fma.f64 (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal 1/6 binary64) #s(literal 1/2 binary64))
(fma.f64 (sqrt.f64 (log.f64 u1)) (*.f64 (sqrt.f64 #s(literal -2 binary64)) #s(literal 1/6 binary64)) #s(literal 1/2 binary64))
(fma.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/2 binary64))
(fma.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (log.f64 u1))) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/2 binary64))
(fma.f64 (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (-.f64 #s(literal 0 binary64) (log.f64 u1)))) (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal 1/2 binary64))))
(/.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 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (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)) (fma.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 #s(literal -2 binary64) (*.f64 u2 u2))) #s(literal 1 binary64)) #s(literal 1/2 binary64))
(fma.f64 (*.f64 (fma.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal -2 binary64))) (*.f64 u2 u2) #s(literal 1 binary64)) #s(literal 1/6 binary64)) (sqrt.f64 (neg.f64 (*.f64 (log.f64 u1) #s(literal 2 binary64)))) #s(literal 1/2 binary64))
(+.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) (*.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (log.f64 u1))) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64))
(fma.f64 (*.f64 (fma.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal -2 binary64))) (*.f64 u2 u2) #s(literal 1 binary64)) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (-.f64 #s(literal 0 binary64) (log.f64 u1))))) (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64))
(+.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) (*.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (log.f64 u1))) (sqrt.f64 #s(literal 2 binary64)))) (fma.f64 u2 (*.f64 u2 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal -2 binary64))) #s(literal 1 binary64))) #s(literal 1/2 binary64))
(fma.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal 1/6 binary64)) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))) #s(literal 1/2 binary64))
(/.f64 (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 (fma.f64 (log.f64 u1) #s(literal -1/18 binary64) #s(literal -1/4 binary64)) (fma.f64 (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal 1/6 binary64) #s(literal -1/2 binary64)))
(/.f64 (-.f64 (*.f64 (log.f64 u1) #s(literal -1/18 binary64)) #s(literal 1/4 binary64)) (fma.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal -1/2 binary64)))
(/.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 (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 (*.f64 (log.f64 u1) #s(literal -2 binary64)) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) (fma.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal -1/2 binary64)))
(/.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)) #s(literal 1/36 binary64))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))))))
(*.f64 (fma.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal -1/2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 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))))
(/.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 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))))) (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)) #s(literal 1/36 binary64)))))
Outputs
(fma.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal 1/6 binary64)) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))) #s(literal 1/2 binary64))
Calls

10 calls:

13.0ms
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/2 binary64))) (cos.f64 (*.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) u2)))
8.0ms
(*.f64 #s(literal -2 binary64) (log.f64 u1))
8.0ms
(*.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) u2)
8.0ms
u2
7.0ms
(+.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/2 binary64))) (cos.f64 (*.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) u2))) #s(literal 1/2 binary64))
Results
AccuracySegmentsBranch
99.4%1u1
99.4%1u2
99.4%1(+.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/2 binary64))) (cos.f64 (*.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) u2))) #s(literal 1/2 binary64))
99.4%1(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/2 binary64))) (cos.f64 (*.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) u2)))
99.4%1(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/2 binary64)))
99.4%1(pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/2 binary64))
99.4%1(*.f64 #s(literal -2 binary64) (log.f64 u1))
99.4%1(log.f64 u1)
99.4%1(cos.f64 (*.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) u2))
99.4%1(*.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) u2)
Compiler

Compiled 91 to 78 computations (14.3% saved)

regimes45.0ms (0.3%)

Memory
15.2MiB live, 93.4MiB allocated
Counts
13 → 1
Calls
Call 1
Inputs
(fma.f64 (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal 1/6 binary64) #s(literal 1/2 binary64))
(fma.f64 (sqrt.f64 (log.f64 u1)) (*.f64 (sqrt.f64 #s(literal -2 binary64)) #s(literal 1/6 binary64)) #s(literal 1/2 binary64))
(fma.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/2 binary64))
(fma.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (log.f64 u1))) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/2 binary64))
(fma.f64 (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (-.f64 #s(literal 0 binary64) (log.f64 u1)))) (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal 1/2 binary64))))
(/.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 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (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)) (fma.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 #s(literal -2 binary64) (*.f64 u2 u2))) #s(literal 1 binary64)) #s(literal 1/2 binary64))
(fma.f64 (*.f64 (fma.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal -2 binary64))) (*.f64 u2 u2) #s(literal 1 binary64)) #s(literal 1/6 binary64)) (sqrt.f64 (neg.f64 (*.f64 (log.f64 u1) #s(literal 2 binary64)))) #s(literal 1/2 binary64))
(+.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) (*.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (log.f64 u1))) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64))
(fma.f64 (*.f64 (fma.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal -2 binary64))) (*.f64 u2 u2) #s(literal 1 binary64)) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (-.f64 #s(literal 0 binary64) (log.f64 u1))))) (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64))
(+.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) (*.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (log.f64 u1))) (sqrt.f64 #s(literal 2 binary64)))) (fma.f64 u2 (*.f64 u2 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal -2 binary64))) #s(literal 1 binary64))) #s(literal 1/2 binary64))
Outputs
(+.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) (*.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (log.f64 u1))) (sqrt.f64 #s(literal 2 binary64)))) (fma.f64 u2 (*.f64 u2 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal -2 binary64))) #s(literal 1 binary64))) #s(literal 1/2 binary64))
Calls

10 calls:

5.0ms
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/2 binary64))) (cos.f64 (*.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) u2)))
5.0ms
(log.f64 u1)
4.0ms
(+.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/2 binary64))) (cos.f64 (*.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) u2))) #s(literal 1/2 binary64))
4.0ms
(*.f64 #s(literal -2 binary64) (log.f64 u1))
4.0ms
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/2 binary64)))
Results
AccuracySegmentsBranch
99.1%1u1
99.1%1u2
99.1%1(+.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/2 binary64))) (cos.f64 (*.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) u2))) #s(literal 1/2 binary64))
99.1%1(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/2 binary64))) (cos.f64 (*.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) u2)))
99.1%1(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/2 binary64)))
99.1%1(pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/2 binary64))
99.1%1(*.f64 #s(literal -2 binary64) (log.f64 u1))
99.1%1(log.f64 u1)
99.1%1(cos.f64 (*.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) u2))
99.1%1(*.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) u2)
Compiler

Compiled 91 to 78 computations (14.3% saved)

regimes44.0ms (0.3%)

Memory
-8.7MiB live, 108.8MiB allocated
Counts
12 → 1
Calls
Call 1
Inputs
(fma.f64 (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal 1/6 binary64) #s(literal 1/2 binary64))
(fma.f64 (sqrt.f64 (log.f64 u1)) (*.f64 (sqrt.f64 #s(literal -2 binary64)) #s(literal 1/6 binary64)) #s(literal 1/2 binary64))
(fma.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/2 binary64))
(fma.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (log.f64 u1))) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/2 binary64))
(fma.f64 (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (-.f64 #s(literal 0 binary64) (log.f64 u1)))) (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal 1/2 binary64))))
(/.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 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (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)) (fma.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 #s(literal -2 binary64) (*.f64 u2 u2))) #s(literal 1 binary64)) #s(literal 1/2 binary64))
(fma.f64 (*.f64 (fma.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal -2 binary64))) (*.f64 u2 u2) #s(literal 1 binary64)) #s(literal 1/6 binary64)) (sqrt.f64 (neg.f64 (*.f64 (log.f64 u1) #s(literal 2 binary64)))) #s(literal 1/2 binary64))
(+.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) (*.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (log.f64 u1))) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64))
(fma.f64 (*.f64 (fma.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal -2 binary64))) (*.f64 u2 u2) #s(literal 1 binary64)) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (-.f64 #s(literal 0 binary64) (log.f64 u1))))) (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64))
Outputs
(fma.f64 (*.f64 (fma.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal -2 binary64))) (*.f64 u2 u2) #s(literal 1 binary64)) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (-.f64 #s(literal 0 binary64) (log.f64 u1))))) (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64))
Calls

10 calls:

6.0ms
(*.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) u2)
5.0ms
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/2 binary64)))
5.0ms
u2
4.0ms
(+.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/2 binary64))) (cos.f64 (*.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) u2))) #s(literal 1/2 binary64))
4.0ms
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/2 binary64))) (cos.f64 (*.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) u2)))
Results
AccuracySegmentsBranch
99.0%1u1
99.0%1u2
99.0%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))
99.0%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)))
99.0%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)))
99.0%1(pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/2 binary64))
99.0%1(*.f64 #s(literal -2 binary64) (log.f64 u1))
99.0%1(log.f64 u1)
99.0%1(cos.f64 (*.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) u2))
99.0%1(*.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) u2)
Compiler

Compiled 91 to 78 computations (14.3% saved)

regimes43.0ms (0.3%)

Memory
9.2MiB live, 126.1MiB allocated
Counts
11 → 1
Calls
Call 1
Inputs
(fma.f64 (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal 1/6 binary64) #s(literal 1/2 binary64))
(fma.f64 (sqrt.f64 (log.f64 u1)) (*.f64 (sqrt.f64 #s(literal -2 binary64)) #s(literal 1/6 binary64)) #s(literal 1/2 binary64))
(fma.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/2 binary64))
(fma.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (log.f64 u1))) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/2 binary64))
(fma.f64 (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (-.f64 #s(literal 0 binary64) (log.f64 u1)))) (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal 1/2 binary64))))
(/.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 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (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)) (fma.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 #s(literal -2 binary64) (*.f64 u2 u2))) #s(literal 1 binary64)) #s(literal 1/2 binary64))
(fma.f64 (*.f64 (fma.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal -2 binary64))) (*.f64 u2 u2) #s(literal 1 binary64)) #s(literal 1/6 binary64)) (sqrt.f64 (neg.f64 (*.f64 (log.f64 u1) #s(literal 2 binary64)))) #s(literal 1/2 binary64))
(+.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) (*.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (log.f64 u1))) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64))
Outputs
(fma.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal 1/6 binary64)) (fma.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 #s(literal -2 binary64) (*.f64 u2 u2))) #s(literal 1 binary64)) #s(literal 1/2 binary64))
Calls

10 calls:

6.0ms
(pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/2 binary64))
6.0ms
(+.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/2 binary64))) (cos.f64 (*.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) u2))) #s(literal 1/2 binary64))
4.0ms
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/2 binary64))) (cos.f64 (*.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) u2)))
4.0ms
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/2 binary64)))
4.0ms
(cos.f64 (*.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) u2))
Results
AccuracySegmentsBranch
99.0%1u1
99.0%1u2
99.0%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))
99.0%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)))
99.0%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)))
99.0%1(pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/2 binary64))
99.0%1(*.f64 #s(literal -2 binary64) (log.f64 u1))
99.0%1(log.f64 u1)
99.0%1(cos.f64 (*.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) u2))
99.0%1(*.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) u2)
Compiler

Compiled 91 to 78 computations (14.3% saved)

regimes34.0ms (0.3%)

Memory
16.9MiB live, 92.1MiB allocated
Counts
8 → 1
Calls
Call 1
Inputs
(fma.f64 (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal 1/6 binary64) #s(literal 1/2 binary64))
(fma.f64 (sqrt.f64 (log.f64 u1)) (*.f64 (sqrt.f64 #s(literal -2 binary64)) #s(literal 1/6 binary64)) #s(literal 1/2 binary64))
(fma.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/2 binary64))
(fma.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (log.f64 u1))) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/2 binary64))
(fma.f64 (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (-.f64 #s(literal 0 binary64) (log.f64 u1)))) (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal 1/2 binary64))))
(/.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 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal 1/6 binary64) #s(literal 1/2 binary64))))
Outputs
(fma.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/2 binary64))
Calls

10 calls:

5.0ms
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/2 binary64))) (cos.f64 (*.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) u2)))
4.0ms
(cos.f64 (*.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) u2))
3.0ms
(+.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/2 binary64))) (cos.f64 (*.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) u2))) #s(literal 1/2 binary64))
3.0ms
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/2 binary64)))
3.0ms
(pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/2 binary64))
Results
AccuracySegmentsBranch
98.9%1u1
98.9%1u2
98.9%1(+.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/2 binary64))) (cos.f64 (*.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) u2))) #s(literal 1/2 binary64))
98.9%1(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/2 binary64))) (cos.f64 (*.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) u2)))
98.9%1(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/2 binary64)))
98.9%1(pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/2 binary64))
98.9%1(*.f64 #s(literal -2 binary64) (log.f64 u1))
98.9%1(log.f64 u1)
98.9%1(cos.f64 (*.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) u2))
98.9%1(*.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) u2)
Compiler

Compiled 91 to 78 computations (14.3% saved)

regimes20.0ms (0.2%)

Memory
-22.3MiB live, 57.7MiB allocated
Accuracy

Total -63.2b remaining (-7475.9%)

Threshold costs -63.2b (-7475.9%)

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

10 calls:

4.0ms
(*.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) u2)
3.0ms
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/2 binary64))) (cos.f64 (*.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) u2)))
2.0ms
(+.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/2 binary64))) (cos.f64 (*.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) u2))) #s(literal 1/2 binary64))
2.0ms
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/2 binary64)))
2.0ms
(pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/2 binary64))
Results
AccuracySegmentsBranch
98.7%1u1
98.7%1u2
98.7%1(+.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/2 binary64))) (cos.f64 (*.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) u2))) #s(literal 1/2 binary64))
98.7%1(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/2 binary64))) (cos.f64 (*.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) u2)))
98.7%1(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/2 binary64)))
98.7%1(pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/2 binary64))
98.7%1(*.f64 #s(literal -2 binary64) (log.f64 u1))
98.7%1(log.f64 u1)
98.7%1(cos.f64 (*.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) u2))
98.7%1(*.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) u2)
Compiler

Compiled 91 to 78 computations (14.3% saved)

simplify12.0ms (0.1%)

Memory
-11.9MiB live, 25.2MiB allocated
Algorithm
1×egg-herbie
Rules
40×*-commutative_binary64
6×+-commutative_binary64
2×sub-neg_binary64
2×1-exp_binary64
2×neg-sub0_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
053117
180117
282117
Stop Event
1×saturated
Calls
Call 1
Inputs
(+.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))) #s(literal 1/6 binary64)) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))) #s(literal 1/2 binary64))
(+.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) (*.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (log.f64 u1))) (sqrt.f64 #s(literal 2 binary64)))) (fma.f64 u2 (*.f64 u2 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal -2 binary64))) #s(literal 1 binary64))) #s(literal 1/2 binary64))
(fma.f64 (*.f64 (fma.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal -2 binary64))) (*.f64 u2 u2) #s(literal 1 binary64)) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (-.f64 #s(literal 0 binary64) (log.f64 u1))))) (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64))
(fma.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal 1/6 binary64)) (fma.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 #s(literal -2 binary64) (*.f64 u2 u2))) #s(literal 1 binary64)) #s(literal 1/2 binary64))
(fma.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/2 binary64))
(fma.f64 (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal 1/6 binary64) #s(literal 1/2 binary64))
Outputs
(+.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))) #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 (log.f64 u1) #s(literal -2 binary64))) #s(literal 1/6 binary64)) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))) #s(literal 1/2 binary64))
(+.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) (*.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (log.f64 u1))) (sqrt.f64 #s(literal 2 binary64)))) (fma.f64 u2 (*.f64 u2 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal -2 binary64))) #s(literal 1 binary64))) #s(literal 1/2 binary64))
(+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) (*.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (log.f64 u1))) (sqrt.f64 #s(literal 2 binary64)))) (fma.f64 u2 (*.f64 u2 (*.f64 #s(literal -2 binary64) (*.f64 (PI.f64) (PI.f64)))) #s(literal 1 binary64))))
(fma.f64 (*.f64 (fma.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal -2 binary64))) (*.f64 u2 u2) #s(literal 1 binary64)) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (-.f64 #s(literal 0 binary64) (log.f64 u1))))) (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64))
(fma.f64 (*.f64 (fma.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal -2 binary64))) (*.f64 u2 u2) #s(literal 1 binary64)) (*.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (log.f64 u1))) #s(literal 1/6 binary64))) (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64))
(fma.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal 1/6 binary64)) (fma.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 #s(literal -2 binary64) (*.f64 u2 u2))) #s(literal 1 binary64)) #s(literal 1/2 binary64))
(fma.f64 (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal 1/6 binary64)) (fma.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 #s(literal -2 binary64) (*.f64 u2 u2))) #s(literal 1 binary64)) #s(literal 1/2 binary64))
(fma.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/2 binary64))
(fma.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (log.f64 u1))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/6 binary64)) #s(literal 1/2 binary64))
(fma.f64 (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal 1/6 binary64) #s(literal 1/2 binary64))

soundness1.5s (10.9%)

Memory
15.3MiB live, 894.6MiB allocated
Rules
43 450×accelerator-lowering-fma.f32
43 450×accelerator-lowering-fma.f64
21 308×accelerator-lowering-fma.f32
21 308×accelerator-lowering-fma.f64
13 372×accelerator-lowering-fma.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03927892
111947209
244047065
080226787
0831292
12051260
26231232
322011204
428111198
539221198
653521198
754801198
855421198
955591198
1055651198
1155651198
1279931198
1379931198
1479931198
080131162
01492978
13692890
210272864
331052850
441432847
560742847
669852847
779852847
082362691
057242
1274239
21695222
08642216
01948
17048
236148
0283247
060267
1325245
02389229
Stop Event
1×fuel
1×iter limit
1×iter limit
1×node limit
1×iter limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
Compiler

Compiled 312 to 215 computations (31.1% saved)

preprocess54.0ms (0.4%)

Memory
22.0MiB live, 137.0MiB allocated
Remove

(abs u2)

Compiler

Compiled 564 to 374 computations (33.7% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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