normal distribution

Time bar (total: 10.6s)

start0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated; 0ms collecting garbage

analyze36.0ms (0.3%)

Memory
-1.5MiB live, 40.8MiB allocated; 47ms collecting garbage
Algorithm
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 23 computations (34.3% saved)

sample1.8s (16.6%)

Memory
60.9MiB live, 1 473.0MiB allocated; 817ms collecting garbage
Samples
1.2s8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 752.0ms
ival-mult: 172.0ms (22.9% of total)
ival-div: 153.0ms (20.4% of total)
ival-log: 96.0ms (12.8% of total)
ival-cosu: 92.0ms (12.2% of total)
ival-<=: 89.0ms (11.8% of total)
ival-sqrt: 58.0ms (7.7% of total)
ival-add: 43.0ms (5.7% of total)
ival-and: 22.0ms (2.9% of total)
exact: 21.0ms (2.8% of total)
adjust: 3.0ms (0.4% of total)
ival-assert: 3.0ms (0.4% of total)
Bogosity

explain193.0ms (1.8%)

Memory
25.2MiB live, 232.3MiB allocated; 10ms collecting garbage
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
67.0ms512×0valid
Compiler

Compiled 189 to 58 computations (69.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 46.0ms
ival-mult: 15.0ms (32.4% of total)
ival-pi: 7.0ms (15.1% of total)
ival-cosu: 6.0ms (13% of total)
ival-log: 6.0ms (13% of total)
ival-div: 4.0ms (8.7% of total)
ival-sqrt: 3.0ms (6.5% of total)
ival-add: 2.0ms (4.3% of total)
exact: 1.0ms (2.2% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

preprocess1.0s (9.6%)

Memory
-7.5MiB live, 506.7MiB allocated; 70ms collecting garbage
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03984
110282
225982
378282
4291282
01817
03016
15216
211216
333116
4128516
5653016
0837415
Stop Event
iter limit
node limit
iter limit
node limit
Calls
Call 1
Inputs
(+.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))
Outputs
(+.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 (cos.f64 (*.f64 u2 (*.f64 (PI.f64) #s(literal 2 binary64)))) (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal 1/6 binary64)) #s(literal 1/2 binary64))
Symmetry

(abs u2)

Compiler

Compiled 19 to 18 computations (5.3% saved)

eval0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated; 0ms collecting garbage
Compiler

Compiled 0 to 2 computations (-∞% saved)

prune1.0ms (0%)

Memory
0.6MiB live, 0.6MiB allocated; 0ms collecting garbage
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 19 to 18 computations (5.3% saved)

simplify663.0ms (6.3%)

Memory
27.8MiB live, 522.4MiB allocated; 104ms collecting garbage
Algorithm
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-diff1
(pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/2 binary64))
cost-diff1
(+.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-diff2
(/.f64 #s(literal 1 binary64) #s(literal 6 binary64))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01875
03071
15271
211271
333171
4128571
5653071
0837470
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(+.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/2 binary64))) (cos.f64 (*.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) u2))) #s(literal 1/2 binary64))
(*.f64 (*.f64 (/.f64 #s(literal 1 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)))
(*.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)))
(/.f64 #s(literal 1 binary64) #s(literal 6 binary64))
#s(literal 1 binary64)
#s(literal 6 binary64)
(pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/2 binary64))
(*.f64 #s(literal -2 binary64) (log.f64 u1))
#s(literal -2 binary64)
(log.f64 u1)
u1
#s(literal 1/2 binary64)
(cos.f64 (*.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) u2))
(*.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) u2)
(*.f64 #s(literal 2 binary64) (PI.f64))
#s(literal 2 binary64)
(PI.f64)
u2
Outputs
(+.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 (cos.f64 (*.f64 u2 (*.f64 (PI.f64) #s(literal 2 binary64)))) (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal 1/6 binary64)) #s(literal 1/2 binary64))
(*.f64 (*.f64 (/.f64 #s(literal 1 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)))
(*.f64 (cos.f64 (*.f64 u2 (*.f64 (PI.f64) #s(literal 2 binary64)))) (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal 1/6 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal 1/6 binary64))
(/.f64 #s(literal 1 binary64) #s(literal 6 binary64))
#s(literal 1/6 binary64)
#s(literal 1 binary64)
#s(literal 6 binary64)
(pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/2 binary64))
(sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)))
(*.f64 #s(literal -2 binary64) (log.f64 u1))
(*.f64 (log.f64 u1) #s(literal -2 binary64))
#s(literal -2 binary64)
(log.f64 u1)
u1
#s(literal 1/2 binary64)
(cos.f64 (*.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) u2))
(cos.f64 (*.f64 u2 (*.f64 (PI.f64) #s(literal 2 binary64))))
(*.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) u2)
(*.f64 u2 (*.f64 (PI.f64) #s(literal 2 binary64)))
(*.f64 #s(literal 2 binary64) (PI.f64))
(*.f64 (PI.f64) #s(literal 2 binary64))
#s(literal 2 binary64)
(PI.f64)
u2

localize46.0ms (0.4%)

Memory
16.7MiB live, 61.8MiB allocated; 7ms collecting garbage
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0.0390625
(+.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))
accuracy0.12890625
(pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/2 binary64))
accuracy0.25
(*.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) u2)
accuracy0.375
(*.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: 25.0ms
ival-mult: 8.0ms (32.5% of total)
ival-div: 7.0ms (28.4% of total)
ival-cosu: 3.0ms (12.2% of total)
ival-log: 3.0ms (12.2% of total)
ival-sqrt: 2.0ms (8.1% of total)
ival-pi: 1.0ms (4.1% of total)
ival-add: 1.0ms (4.1% of total)
exact: 1.0ms (4.1% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series279.0ms (2.6%)

Memory
-49.4MiB live, 178.9MiB allocated; 210ms collecting garbage
Counts
6 → 20
Calls
Call 1
Inputs
(/.f64 #s(literal 1 binary64) #s(literal 6 binary64))
(+.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/2 binary64))) (cos.f64 (*.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) u2))) #s(literal 1/2 binary64))
(pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/2 binary64))
(*.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)))
(*.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)))
(*.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) u2)
Outputs
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))))
(* (sqrt (log u1)) (sqrt -2))
(* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1))))
(* 1/6 (* (sqrt (log u1)) (sqrt -2)))
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -2) (sqrt -1))) (sqrt (log (/ 1 u1))))))
(* (sqrt (log (/ 1 u1))) (sqrt 2))
(* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -2) (sqrt -1))) (sqrt (log (/ 1 u1)))))
(* 1/6 (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1))))
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (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 -1) (* -1 (log (/ -1 u1)))))))
(* 1/6 (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))))
(+ 1/2 (* 1/6 (* (sqrt (log u1)) (sqrt -2))))
(+ 1/2 (+ (* -1/3 (* (* (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))))))))))
(+ (* -1/3 (* (* (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)))))))))
(* 2 (* u2 (PI)))
Calls

6 calls:

TimeVariablePointExpression
204.0ms
u1
@-inf
((/ 1 6) (+ (* (* (/ 1 6) (pow (* -2 (log u1)) 1/2)) (cos (* (* 2 (PI)) u2))) 1/2) (pow (* -2 (log u1)) 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))
32.0ms
u1
@0
((/ 1 6) (+ (* (* (/ 1 6) (pow (* -2 (log u1)) 1/2)) (cos (* (* 2 (PI)) u2))) 1/2) (pow (* -2 (log u1)) 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))
24.0ms
u2
@inf
((/ 1 6) (+ (* (* (/ 1 6) (pow (* -2 (log u1)) 1/2)) (cos (* (* 2 (PI)) u2))) 1/2) (pow (* -2 (log u1)) 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))
8.0ms
u1
@inf
((/ 1 6) (+ (* (* (/ 1 6) (pow (* -2 (log u1)) 1/2)) (cos (* (* 2 (PI)) u2))) 1/2) (pow (* -2 (log u1)) 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))
7.0ms
u2
@-inf
((/ 1 6) (+ (* (* (/ 1 6) (pow (* -2 (log u1)) 1/2)) (cos (* (* 2 (PI)) u2))) 1/2) (pow (* -2 (log u1)) 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))

simplify205.0ms (1.9%)

Memory
2.9MiB live, 233.1MiB allocated; 54ms collecting garbage
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
083448
1239428
2909400
33544372
47335372
08119353
Stop Event
iter limit
node limit
Counts
20 → 20
Calls
Call 1
Inputs
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))))
(* (sqrt (log u1)) (sqrt -2))
(* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1))))
(* 1/6 (* (sqrt (log u1)) (sqrt -2)))
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -2) (sqrt -1))) (sqrt (log (/ 1 u1))))))
(* (sqrt (log (/ 1 u1))) (sqrt 2))
(* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -2) (sqrt -1))) (sqrt (log (/ 1 u1)))))
(* 1/6 (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1))))
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (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 -1) (* -1 (log (/ -1 u1)))))))
(* 1/6 (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))))
(+ 1/2 (* 1/6 (* (sqrt (log u1)) (sqrt -2))))
(+ 1/2 (+ (* -1/3 (* (* (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))))))))))
(+ (* -1/3 (* (* (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)))))))))
(* 2 (* u2 (PI)))
Outputs
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))))
(fma.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -2 binary64)) #s(literal 1/6 binary64)) (cos.f64 (*.f64 #s(literal -2 binary64) (*.f64 (PI.f64) u2)))) (sqrt.f64 (log.f64 u1)) #s(literal 1/2 binary64))
(* (sqrt (log u1)) (sqrt -2))
(*.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 #s(literal -2 binary64)))
(* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1))))
(*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -2 binary64)) #s(literal 1/6 binary64)) (cos.f64 (*.f64 #s(literal -2 binary64) (*.f64 (PI.f64) u2)))) (sqrt.f64 (log.f64 u1)))
(* 1/6 (* (sqrt (log u1)) (sqrt -2)))
(*.f64 (*.f64 (sqrt.f64 #s(literal -2 binary64)) #s(literal 1/6 binary64)) (sqrt.f64 (log.f64 u1)))
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -2) (sqrt -1))) (sqrt (log (/ 1 u1))))))
(fma.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -2 binary64)) (cos.f64 (*.f64 #s(literal -2 binary64) (*.f64 (PI.f64) u2)))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 1/6 binary64))) (sqrt.f64 (neg.f64 (log.f64 u1))) #s(literal 1/2 binary64))
(* (sqrt (log (/ 1 u1))) (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (neg.f64 (log.f64 u1))))
(* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -2) (sqrt -1))) (sqrt (log (/ 1 u1)))))
(*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -2 binary64)) (cos.f64 (*.f64 #s(literal -2 binary64) (*.f64 (PI.f64) u2)))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 1/6 binary64))) (sqrt.f64 (neg.f64 (log.f64 u1))))
(* 1/6 (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1))))
(*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 (sqrt.f64 #s(literal -2 binary64)) #s(literal 1/6 binary64))) (sqrt.f64 (neg.f64 (log.f64 u1))))
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))))
(fma.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -2 binary64)) #s(literal 1/6 binary64)) (cos.f64 (*.f64 #s(literal -2 binary64) (*.f64 (PI.f64) u2)))) (sqrt.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) u1)))) #s(literal 1/2 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)))
(* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))))
(*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -2 binary64)) #s(literal 1/6 binary64)) (cos.f64 (*.f64 #s(literal -2 binary64) (*.f64 (PI.f64) u2)))) (sqrt.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) u1)))))
(* 1/6 (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))))
(*.f64 (*.f64 (sqrt.f64 #s(literal -2 binary64)) #s(literal 1/6 binary64)) (sqrt.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) u1)))))
(+ 1/2 (* 1/6 (* (sqrt (log u1)) (sqrt -2))))
(fma.f64 (*.f64 (sqrt.f64 #s(literal -2 binary64)) #s(literal 1/6 binary64)) (sqrt.f64 (log.f64 u1)) #s(literal 1/2 binary64))
(+ 1/2 (+ (* -1/3 (* (* (pow u2 2) (* (pow (PI) 2) (sqrt -2))) (sqrt (log u1)))) (* 1/6 (* (sqrt (log u1)) (sqrt -2)))))
(fma.f64 (*.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 #s(literal -2 binary64))) (fma.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (*.f64 u2 u2) #s(literal -1/3 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)))) (* 1/9 (* (* (pow u2 2) (* (pow (PI) 4) (sqrt -2))) (sqrt (log u1))))))))
(fma.f64 (sqrt.f64 (log.f64 u1)) (fma.f64 (*.f64 (sqrt.f64 #s(literal -2 binary64)) (fma.f64 (*.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 4 binary64)) u2) u2) #s(literal 1/9 binary64) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal -1/3 binary64)))) (*.f64 u2 u2) (*.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))) (* (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 (sqrt.f64 #s(literal -2 binary64)) (fma.f64 (*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) u2) u2) #s(literal -1/3 binary64) #s(literal 1/6 binary64)) (*.f64 (*.f64 (sqrt.f64 #s(literal -2 binary64)) (fma.f64 (*.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 6 binary64)) u2) u2) #s(literal -2/135 binary64) (*.f64 (pow.f64 (PI.f64) #s(literal 4 binary64)) #s(literal 1/9 binary64)))) (pow.f64 u2 #s(literal 4 binary64)))) #s(literal 1/2 binary64))
(+ (* -1/3 (* (* (pow u2 2) (* (pow (PI) 2) (sqrt -2))) (sqrt (log u1)))) (* 1/6 (* (sqrt (log u1)) (sqrt -2))))
(*.f64 (*.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 #s(literal -2 binary64))) (fma.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (*.f64 u2 u2) #s(literal -1/3 binary64)) #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)) (fma.f64 (*.f64 (sqrt.f64 #s(literal -2 binary64)) (fma.f64 (*.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 4 binary64)) u2) u2) #s(literal 1/9 binary64) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal -1/3 binary64)))) (*.f64 u2 u2) (*.f64 (sqrt.f64 #s(literal -2 binary64)) #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 (sqrt.f64 #s(literal -2 binary64)) (fma.f64 (*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) u2) u2) #s(literal -1/3 binary64) #s(literal 1/6 binary64)) (*.f64 (*.f64 (sqrt.f64 #s(literal -2 binary64)) (fma.f64 (*.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 6 binary64)) u2) u2) #s(literal -2/135 binary64) (*.f64 (pow.f64 (PI.f64) #s(literal 4 binary64)) #s(literal 1/9 binary64)))) (pow.f64 u2 #s(literal 4 binary64)))))
(* 2 (* u2 (PI)))
(*.f64 (*.f64 (PI.f64) u2) #s(literal 2 binary64))

rewrite89.0ms (0.8%)

Memory
-5.0MiB live, 101.5MiB allocated; 13ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01852
03048
19748
054247
Stop Event
iter limit
iter limit
iter limit
unsound
iter limit
Counts
6 → 76
Calls
Call 1
Inputs
(/.f64 #s(literal 1 binary64) #s(literal 6 binary64))
(+.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/2 binary64))) (cos.f64 (*.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) u2))) #s(literal 1/2 binary64))
(pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/2 binary64))
(*.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)))
(*.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)))
(*.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) u2)
Outputs
(*.f64 (pow.f64 #s(literal 6 binary64) #s(literal -1/2 binary64)) (pow.f64 #s(literal 6 binary64) #s(literal -1/2 binary64)))
(pow.f64 #s(literal 6 binary64) #s(literal -1 binary64))
(/.f64 #s(literal -1 binary64) #s(literal -6 binary64))
(/.f64 #s(literal 1 binary64) (pow.f64 #s(literal 6 binary64) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) #s(literal 6 binary64))
(neg.f64 #s(literal -1/6 binary64))
(exp.f64 (*.f64 (log.f64 #s(literal 6 binary64)) #s(literal -1 binary64)))
#s(literal 1/6 binary64)
(/.f64 (-.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 (cos.f64 (*.f64 u2 (*.f64 (PI.f64) #s(literal 2 binary64)))) (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal 1/6 binary64))) #s(literal 2 binary64))) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 u2 (*.f64 (PI.f64) #s(literal 2 binary64)))) (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal 1/6 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 u2 (*.f64 (PI.f64) #s(literal 2 binary64)))) (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal 1/6 binary64))) #s(literal 2 binary64)) #s(literal 1/4 binary64))) (neg.f64 (-.f64 (*.f64 (cos.f64 (*.f64 u2 (*.f64 (PI.f64) #s(literal 2 binary64)))) (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal 1/6 binary64))) #s(literal 1/2 binary64))))
(/.f64 (neg.f64 (+.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 (cos.f64 (*.f64 u2 (*.f64 (PI.f64) #s(literal 2 binary64)))) (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal 1/6 binary64))) #s(literal 3 binary64)))) (neg.f64 (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 u2 (*.f64 (PI.f64) #s(literal 2 binary64)))) (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal 1/6 binary64)))) (pow.f64 (*.f64 (cos.f64 (*.f64 u2 (*.f64 (PI.f64) #s(literal 2 binary64)))) (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal 1/6 binary64))) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 u2 (*.f64 (PI.f64) #s(literal 2 binary64)))) (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal 1/6 binary64))) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (-.f64 (*.f64 (cos.f64 (*.f64 u2 (*.f64 (PI.f64) #s(literal 2 binary64)))) (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal 1/6 binary64))) #s(literal 1/2 binary64)))
(/.f64 (+.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 (cos.f64 (*.f64 u2 (*.f64 (PI.f64) #s(literal 2 binary64)))) (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal 1/6 binary64))) #s(literal 3 binary64))) (+.f64 #s(literal 1/4 binary64) (-.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 u2 (*.f64 (PI.f64) #s(literal 2 binary64)))) (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal 1/6 binary64))) #s(literal 2 binary64)) (*.f64 (*.f64 (cos.f64 (*.f64 u2 (*.f64 (PI.f64) #s(literal 2 binary64)))) (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal 1/6 binary64))) #s(literal 1/2 binary64)))))
(/.f64 (+.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 (cos.f64 (*.f64 u2 (*.f64 (PI.f64) #s(literal 2 binary64)))) (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal 1/6 binary64))) #s(literal 3 binary64))) (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 u2 (*.f64 (PI.f64) #s(literal 2 binary64)))) (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal 1/6 binary64)))) (pow.f64 (*.f64 (cos.f64 (*.f64 u2 (*.f64 (PI.f64) #s(literal 2 binary64)))) (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal 1/6 binary64))) #s(literal 2 binary64))))
(fma.f64 (*.f64 (cos.f64 (*.f64 u2 (*.f64 (PI.f64) #s(literal 2 binary64)))) #s(literal 1/6 binary64)) (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal 1/2 binary64))
(fma.f64 (*.f64 (cos.f64 (*.f64 u2 (*.f64 (PI.f64) #s(literal 2 binary64)))) (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)))) #s(literal 1/6 binary64) #s(literal 1/2 binary64))
(fma.f64 (cos.f64 (*.f64 u2 (*.f64 (PI.f64) #s(literal 2 binary64)))) (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal 1/6 binary64)) #s(literal 1/2 binary64))
(fma.f64 #s(literal 2 binary64) #s(literal 1/4 binary64) (*.f64 (cos.f64 (*.f64 u2 (*.f64 (PI.f64) #s(literal 2 binary64)))) (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal 1/6 binary64))))
(fma.f64 (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal 1/6 binary64)) (cos.f64 (*.f64 u2 (*.f64 (PI.f64) #s(literal 2 binary64)))) #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 u2 (*.f64 (PI.f64) #s(literal 2 binary64))))) #s(literal 1/2 binary64))
(fma.f64 #s(literal 1/6 binary64) (*.f64 (cos.f64 (*.f64 u2 (*.f64 (PI.f64) #s(literal 2 binary64)))) (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)))) #s(literal 1/2 binary64))
(-.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 u2 (*.f64 (PI.f64) #s(literal 2 binary64)))) (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal 1/6 binary64))) #s(literal 2 binary64)) (-.f64 (*.f64 (cos.f64 (*.f64 u2 (*.f64 (PI.f64) #s(literal 2 binary64)))) (*.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) (-.f64 (*.f64 (cos.f64 (*.f64 u2 (*.f64 (PI.f64) #s(literal 2 binary64)))) (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal 1/6 binary64))) #s(literal 1/2 binary64))))
(-.f64 #s(literal 1/2 binary64) (*.f64 (neg.f64 (cos.f64 (*.f64 u2 (*.f64 (PI.f64) #s(literal 2 binary64))))) (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal 1/6 binary64))))
(-.f64 #s(literal 1/2 binary64) (*.f64 (neg.f64 (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal 1/6 binary64))) (cos.f64 (*.f64 u2 (*.f64 (PI.f64) #s(literal 2 binary64))))))
(-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 (cos.f64 (*.f64 u2 (*.f64 (PI.f64) #s(literal 2 binary64)))) (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))))))
(+.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 u2 (*.f64 (PI.f64) #s(literal 2 binary64)))) (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal 1/6 binary64))) #s(literal 3 binary64)) (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 u2 (*.f64 (PI.f64) #s(literal 2 binary64)))) (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal 1/6 binary64)))) (pow.f64 (*.f64 (cos.f64 (*.f64 u2 (*.f64 (PI.f64) #s(literal 2 binary64)))) (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal 1/6 binary64))) #s(literal 2 binary64)))) (/.f64 #s(literal 1/8 binary64) (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 u2 (*.f64 (PI.f64) #s(literal 2 binary64)))) (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal 1/6 binary64)))) (pow.f64 (*.f64 (cos.f64 (*.f64 u2 (*.f64 (PI.f64) #s(literal 2 binary64)))) (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal 1/6 binary64))) #s(literal 2 binary64)))))
(+.f64 (*.f64 (cos.f64 (*.f64 u2 (*.f64 (PI.f64) #s(literal 2 binary64)))) (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal 1/6 binary64))) #s(literal 1/2 binary64))
(+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 u2 (*.f64 (PI.f64) #s(literal 2 binary64)))) (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal 1/6 binary64))))
(*.f64 (*.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)) #s(literal 1/4 binary64))) (pow.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)) #s(literal 1/4 binary64)))
(*.f64 (*.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -2 binary64))) (sqrt.f64 (log.f64 u1)))
(*.f64 (neg.f64 (pow.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)) #s(literal 1/4 binary64))) (neg.f64 (pow.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)) #s(literal 1/4 binary64))))
(*.f64 (fabs.f64 (pow.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)) #s(literal 1/4 binary64))) (fabs.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)) (pow.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)) #s(literal 1/4 binary64)))
(*.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 #s(literal -2 binary64)))
(*.f64 (sqrt.f64 #s(literal -2 binary64)) (sqrt.f64 (log.f64 u1)))
(*.f64 (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))))
(pow.f64 (exp.f64 (log.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)))) #s(literal 1/2 binary64))
(pow.f64 (*.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)) (*.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal 1/4 binary64))
(pow.f64 (pow.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)) #s(literal 1/2 binary64))
(sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)))
(exp.f64 (+.f64 #s(literal 0 binary64) (*.f64 (log.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal 1/2 binary64))))
(exp.f64 (*.f64 (log.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal 1/2 binary64)))
(+.f64 (cosh.f64 (*.f64 (log.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal 1/2 binary64))) (sinh.f64 (*.f64 (log.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal 1/2 binary64))))
(*.f64 (*.f64 (cos.f64 (*.f64 u2 (*.f64 (PI.f64) #s(literal 2 binary64)))) #s(literal 1/6 binary64)) (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))))
(*.f64 (*.f64 (cos.f64 (*.f64 u2 (*.f64 (PI.f64) #s(literal 2 binary64)))) (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)))) #s(literal 1/6 binary64))
(*.f64 (cos.f64 (*.f64 u2 (*.f64 (PI.f64) #s(literal 2 binary64)))) (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal 1/6 binary64)))
(*.f64 (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal 1/6 binary64)) (cos.f64 (*.f64 u2 (*.f64 (PI.f64) #s(literal 2 binary64)))))
(*.f64 (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))) (*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 u2 (*.f64 (PI.f64) #s(literal 2 binary64))))))
(*.f64 #s(literal 1/6 binary64) (*.f64 (cos.f64 (*.f64 u2 (*.f64 (PI.f64) #s(literal 2 binary64)))) (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)))))
(/.f64 (*.f64 #s(literal -1 binary64) (*.f64 (cos.f64 (*.f64 u2 (*.f64 (PI.f64) #s(literal 2 binary64)))) (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))))) #s(literal -6 binary64))
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 (cos.f64 (*.f64 u2 (*.f64 (PI.f64) #s(literal 2 binary64)))) (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))))) #s(literal 6 binary64))
(/.f64 (*.f64 (cos.f64 (*.f64 u2 (*.f64 (PI.f64) #s(literal 2 binary64)))) (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)))) #s(literal 6 binary64))
(*.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)) #s(literal 1/4 binary64))) (pow.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)) #s(literal 1/4 binary64)))
(*.f64 (*.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -2 binary64))) (sqrt.f64 (log.f64 u1)))
(*.f64 (pow.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)) #s(literal 1/4 binary64)) (*.f64 (pow.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)) #s(literal 1/4 binary64)) #s(literal 1/6 binary64)))
(*.f64 (sqrt.f64 #s(literal -2 binary64)) (*.f64 (sqrt.f64 (log.f64 u1)) #s(literal 1/6 binary64)))
(*.f64 (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal 1/6 binary64))
(*.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))))
(*.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal 1/6 binary64)))
(/.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)))) #s(literal -6 binary64))
(/.f64 (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal -1 binary64)) #s(literal -6 binary64))
(/.f64 (neg.f64 (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)))) #s(literal -6 binary64))
(/.f64 (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal 6 binary64))
(*.f64 (*.f64 u2 #s(literal 2 binary64)) (PI.f64))
(*.f64 (*.f64 u2 (PI.f64)) #s(literal 2 binary64))
(*.f64 u2 (*.f64 (PI.f64) #s(literal 2 binary64)))
(*.f64 (*.f64 (PI.f64) #s(literal 2 binary64)) u2)
(*.f64 (PI.f64) (*.f64 #s(literal 2 binary64) u2))
(*.f64 #s(literal 2 binary64) (*.f64 u2 (PI.f64)))
(fma.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) u2) (*.f64 u2 (PI.f64)))
(fma.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (PI.f64)) u2) (*.f64 u2 (PI.f64)))
(fma.f64 u2 (PI.f64) (*.f64 u2 (PI.f64)))
(fma.f64 (PI.f64) u2 (*.f64 u2 (PI.f64)))
(+.f64 (*.f64 u2 (PI.f64)) (*.f64 u2 (PI.f64)))

eval11.0ms (0.1%)

Memory
24.9MiB live, 24.9MiB allocated; 0ms collecting garbage
Compiler

Compiled 2 468 to 424 computations (82.8% saved)

prune10.0ms (0.1%)

Memory
-26.7MiB live, 20.6MiB allocated; 1ms collecting garbage
Pruning

10 alts after pruning (10 fresh and 0 done)

PrunedKeptTotal
New861096
Fresh000
Picked101
Done000
Total871097
Accuracy
100.0%
Counts
97 → 10
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.3%
(fma.f64 (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal 1/6 binary64)) (cos.f64 (*.f64 u2 (*.f64 (PI.f64) #s(literal 2 binary64)))) #s(literal 1/2 binary64))
99.4%
(fma.f64 (*.f64 (cos.f64 (*.f64 u2 (*.f64 (PI.f64) #s(literal 2 binary64)))) #s(literal 1/6 binary64)) (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal 1/2 binary64))
99.2%
(-.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 u2 (*.f64 (PI.f64) #s(literal 2 binary64)))) (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal 1/6 binary64))) #s(literal 2 binary64)) (-.f64 (*.f64 (cos.f64 (*.f64 u2 (*.f64 (PI.f64) #s(literal 2 binary64)))) (*.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) (-.f64 (*.f64 (cos.f64 (*.f64 u2 (*.f64 (PI.f64) #s(literal 2 binary64)))) (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal 1/6 binary64))) #s(literal 1/2 binary64))))
99.5%
(+.f64 (/.f64 (*.f64 (cos.f64 (*.f64 u2 (*.f64 (PI.f64) #s(literal 2 binary64)))) (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)))) #s(literal 6 binary64)) #s(literal 1/2 binary64))
99.1%
(+.f64 (*.f64 (*.f64 (pow.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)) #s(literal 1/4 binary64)) (*.f64 (pow.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)) #s(literal 1/4 binary64)) #s(literal 1/6 binary64))) (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)) (pow.f64 (pow.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)) #s(literal 1/4 binary64)) #s(literal 2 binary64))) (cos.f64 (*.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) u2))) #s(literal 1/2 binary64))
99.0%
(+.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) (exp.f64 (*.f64 (log.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal 1/2 binary64)))) (cos.f64 (*.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) u2))) #s(literal 1/2 binary64))
99.6%
(+.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) #s(approx (pow (* -2 (log u1)) 1/2) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (neg.f64 (log.f64 u1)))))) (cos.f64 (*.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) u2))) #s(literal 1/2 binary64))
99.1%
(+.f64 (*.f64 (*.f64 (exp.f64 (*.f64 (log.f64 #s(literal 6 binary64)) #s(literal -1 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))
0.0%
#s(approx (+ (* (* (/ 1 6) (pow (* -2 (log u1)) 1/2)) (cos (* (* 2 (PI)) u2))) 1/2) (fma.f64 (*.f64 (sqrt.f64 #s(literal -2 binary64)) #s(literal 1/6 binary64)) (sqrt.f64 (log.f64 u1)) #s(literal 1/2 binary64)))
Compiler

Compiled 482 to 394 computations (18.3% saved)

simplify544.0ms (5.1%)

Memory
-13.7MiB live, 321.9MiB allocated; 58ms collecting garbage
Algorithm
egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff1
(pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/2 binary64))
cost-diff1
(+.f64 (*.f64 (*.f64 (exp.f64 (*.f64 (log.f64 #s(literal 6 binary64)) #s(literal -1 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-diff2
(*.f64 (log.f64 #s(literal 6 binary64)) #s(literal -1 binary64))
cost-diff2
(exp.f64 (*.f64 (log.f64 #s(literal 6 binary64)) #s(literal -1 binary64)))
cost-diff0
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) (pow.f64 (pow.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)) #s(literal 1/4 binary64)) #s(literal 2 binary64))) (cos.f64 (*.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) u2)))
cost-diff1
(+.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) (pow.f64 (pow.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)) #s(literal 1/4 binary64)) #s(literal 2 binary64))) (cos.f64 (*.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) u2))) #s(literal 1/2 binary64))
cost-diff2
(/.f64 #s(literal 1 binary64) #s(literal 6 binary64))
cost-diff3
(pow.f64 (pow.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)) #s(literal 1/4 binary64)) #s(literal 2 binary64))
cost-diff0
(*.f64 (log.f64 u1) #s(literal -2 binary64))
cost-diff0
(sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)))
cost-diff0
(*.f64 (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal 1/6 binary64))
cost-diff0
(fma.f64 (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal 1/6 binary64)) (cos.f64 (*.f64 u2 (*.f64 (PI.f64) #s(literal 2 binary64)))) #s(literal 1/2 binary64))
cost-diff0
(sqrt.f64 #s(literal -2 binary64))
cost-diff0
(*.f64 (sqrt.f64 #s(literal -2 binary64)) #s(literal 1/6 binary64))
cost-diff0
(fma.f64 (*.f64 (sqrt.f64 #s(literal -2 binary64)) #s(literal 1/6 binary64)) (sqrt.f64 (log.f64 u1)) #s(literal 1/2 binary64))
cost-diff0
#s(approx (+ (* (* (/ 1 6) (pow (* -2 (log u1)) 1/2)) (cos (* (* 2 (PI)) u2))) 1/2) (fma.f64 (*.f64 (sqrt.f64 #s(literal -2 binary64)) #s(literal 1/6 binary64)) (sqrt.f64 (log.f64 u1)) #s(literal 1/2 binary64)))
cost-diff0
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) #s(approx (pow (* -2 (log u1)) 1/2) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (neg.f64 (log.f64 u1))))))
cost-diff0
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) #s(approx (pow (* -2 (log u1)) 1/2) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (neg.f64 (log.f64 u1)))))) (cos.f64 (*.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) u2)))
cost-diff1
(+.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) #s(approx (pow (* -2 (log u1)) 1/2) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (neg.f64 (log.f64 u1)))))) (cos.f64 (*.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) u2))) #s(literal 1/2 binary64))
cost-diff2
(/.f64 #s(literal 1 binary64) #s(literal 6 binary64))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
060410
0103376
1182369
2355369
31035369
44954368
08626367
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(+.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) #s(approx (pow (* -2 (log u1)) 1/2) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (neg.f64 (log.f64 u1)))))) (cos.f64 (*.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) u2))) #s(literal 1/2 binary64))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) #s(approx (pow (* -2 (log u1)) 1/2) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (neg.f64 (log.f64 u1)))))) (cos.f64 (*.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) u2)))
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) #s(approx (pow (* -2 (log u1)) 1/2) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (neg.f64 (log.f64 u1))))))
(/.f64 #s(literal 1 binary64) #s(literal 6 binary64))
#s(literal 1 binary64)
#s(literal 6 binary64)
#s(approx (pow (* -2 (log u1)) 1/2) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (neg.f64 (log.f64 u1)))))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (neg.f64 (log.f64 u1))))
(sqrt.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
(sqrt.f64 (neg.f64 (log.f64 u1)))
(neg.f64 (log.f64 u1))
(log.f64 u1)
u1
(cos.f64 (*.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) u2))
(*.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) u2)
(*.f64 #s(literal 2 binary64) (PI.f64))
(PI.f64)
u2
#s(literal 1/2 binary64)
#s(approx (+ (* (* (/ 1 6) (pow (* -2 (log u1)) 1/2)) (cos (* (* 2 (PI)) u2))) 1/2) (fma.f64 (*.f64 (sqrt.f64 #s(literal -2 binary64)) #s(literal 1/6 binary64)) (sqrt.f64 (log.f64 u1)) #s(literal 1/2 binary64)))
(fma.f64 (*.f64 (sqrt.f64 #s(literal -2 binary64)) #s(literal 1/6 binary64)) (sqrt.f64 (log.f64 u1)) #s(literal 1/2 binary64))
(*.f64 (sqrt.f64 #s(literal -2 binary64)) #s(literal 1/6 binary64))
(sqrt.f64 #s(literal -2 binary64))
#s(literal -2 binary64)
#s(literal 1/6 binary64)
(sqrt.f64 (log.f64 u1))
(log.f64 u1)
u1
#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 u2 (*.f64 (PI.f64) #s(literal 2 binary64)))) #s(literal 1/2 binary64))
(*.f64 (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal 1/6 binary64))
(sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)))
(*.f64 (log.f64 u1) #s(literal -2 binary64))
(log.f64 u1)
u1
#s(literal -2 binary64)
#s(literal 1/6 binary64)
(cos.f64 (*.f64 u2 (*.f64 (PI.f64) #s(literal 2 binary64))))
(*.f64 u2 (*.f64 (PI.f64) #s(literal 2 binary64)))
u2
(*.f64 (PI.f64) #s(literal 2 binary64))
(PI.f64)
#s(literal 2 binary64)
#s(literal 1/2 binary64)
(+.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) (pow.f64 (pow.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)) #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 #s(literal 1 binary64) #s(literal 6 binary64)) (pow.f64 (pow.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)) #s(literal 1/4 binary64)) #s(literal 2 binary64))) (cos.f64 (*.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) u2)))
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) (pow.f64 (pow.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)) #s(literal 1/4 binary64)) #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) #s(literal 6 binary64))
#s(literal 1 binary64)
#s(literal 6 binary64)
(pow.f64 (pow.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)) #s(literal 1/4 binary64))
(*.f64 (log.f64 u1) #s(literal -2 binary64))
(log.f64 u1)
u1
#s(literal -2 binary64)
#s(literal 1/4 binary64)
#s(literal 2 binary64)
(cos.f64 (*.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) u2))
(*.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) u2)
(*.f64 #s(literal 2 binary64) (PI.f64))
(PI.f64)
u2
#s(literal 1/2 binary64)
(+.f64 (*.f64 (*.f64 (exp.f64 (*.f64 (log.f64 #s(literal 6 binary64)) #s(literal -1 binary64))) (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/2 binary64))) (cos.f64 (*.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) u2))) #s(literal 1/2 binary64))
(*.f64 (*.f64 (exp.f64 (*.f64 (log.f64 #s(literal 6 binary64)) #s(literal -1 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)))
(*.f64 (exp.f64 (*.f64 (log.f64 #s(literal 6 binary64)) #s(literal -1 binary64))) (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 #s(literal 6 binary64)) #s(literal -1 binary64)))
(*.f64 (log.f64 #s(literal 6 binary64)) #s(literal -1 binary64))
(log.f64 #s(literal 6 binary64))
#s(literal 6 binary64)
#s(literal -1 binary64)
(pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/2 binary64))
(*.f64 #s(literal -2 binary64) (log.f64 u1))
#s(literal -2 binary64)
(log.f64 u1)
u1
#s(literal 1/2 binary64)
(cos.f64 (*.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) u2))
(*.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) u2)
(*.f64 #s(literal 2 binary64) (PI.f64))
#s(literal 2 binary64)
(PI.f64)
u2
Outputs
(+.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) #s(approx (pow (* -2 (log u1)) 1/2) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (neg.f64 (log.f64 u1)))))) (cos.f64 (*.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) u2))) #s(literal 1/2 binary64))
(fma.f64 (*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 u2 (*.f64 (PI.f64) #s(literal 2 binary64))))) #s(approx (pow (* -2 (log u1)) 1/2) (*.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 1/2 binary64))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) #s(approx (pow (* -2 (log u1)) 1/2) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (neg.f64 (log.f64 u1)))))) (cos.f64 (*.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) u2)))
(*.f64 (*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 u2 (*.f64 (PI.f64) #s(literal 2 binary64))))) #s(approx (pow (* -2 (log u1)) 1/2) (*.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (sqrt.f64 #s(literal 2 binary64)))))
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) #s(approx (pow (* -2 (log u1)) 1/2) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (neg.f64 (log.f64 u1))))))
(*.f64 #s(literal 1/6 binary64) #s(approx (pow (* -2 (log u1)) 1/2) (*.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (sqrt.f64 #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) #s(literal 6 binary64))
#s(literal 1/6 binary64)
#s(literal 1 binary64)
#s(literal 6 binary64)
#s(approx (pow (* -2 (log u1)) 1/2) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (neg.f64 (log.f64 u1)))))
#s(approx (pow (* -2 (log u1)) 1/2) (*.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (neg.f64 (log.f64 u1))))
(*.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (sqrt.f64 #s(literal 2 binary64)))
(sqrt.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
(sqrt.f64 (neg.f64 (log.f64 u1)))
(neg.f64 (log.f64 u1))
(log.f64 u1)
u1
(cos.f64 (*.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) u2))
(cos.f64 (*.f64 u2 (*.f64 (PI.f64) #s(literal 2 binary64))))
(*.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) u2)
(*.f64 u2 (*.f64 (PI.f64) #s(literal 2 binary64)))
(*.f64 #s(literal 2 binary64) (PI.f64))
(*.f64 (PI.f64) #s(literal 2 binary64))
(PI.f64)
u2
#s(literal 1/2 binary64)
#s(approx (+ (* (* (/ 1 6) (pow (* -2 (log u1)) 1/2)) (cos (* (* 2 (PI)) u2))) 1/2) (fma.f64 (*.f64 (sqrt.f64 #s(literal -2 binary64)) #s(literal 1/6 binary64)) (sqrt.f64 (log.f64 u1)) #s(literal 1/2 binary64)))
#s(approx (+ (* (* (/ 1 6) (pow (* -2 (log u1)) 1/2)) (cos (* (* 2 (PI)) u2))) 1/2) (fma.f64 (sqrt.f64 (log.f64 u1)) (*.f64 (sqrt.f64 #s(literal -2 binary64)) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))
(fma.f64 (*.f64 (sqrt.f64 #s(literal -2 binary64)) #s(literal 1/6 binary64)) (sqrt.f64 (log.f64 u1)) #s(literal 1/2 binary64))
(fma.f64 (sqrt.f64 (log.f64 u1)) (*.f64 (sqrt.f64 #s(literal -2 binary64)) #s(literal 1/6 binary64)) #s(literal 1/2 binary64))
(*.f64 (sqrt.f64 #s(literal -2 binary64)) #s(literal 1/6 binary64))
(sqrt.f64 #s(literal -2 binary64))
#s(literal -2 binary64)
#s(literal 1/6 binary64)
(sqrt.f64 (log.f64 u1))
(log.f64 u1)
u1
#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 u2 (*.f64 (PI.f64) #s(literal 2 binary64)))) #s(literal 1/2 binary64))
(fma.f64 (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))) (cos.f64 (*.f64 u2 (*.f64 (PI.f64) #s(literal 2 binary64))))) #s(literal 1/6 binary64) #s(literal 1/2 binary64))
(*.f64 (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal 1/6 binary64))
(sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)))
(*.f64 (log.f64 u1) #s(literal -2 binary64))
(log.f64 u1)
u1
#s(literal -2 binary64)
#s(literal 1/6 binary64)
(cos.f64 (*.f64 u2 (*.f64 (PI.f64) #s(literal 2 binary64))))
(*.f64 u2 (*.f64 (PI.f64) #s(literal 2 binary64)))
u2
(*.f64 (PI.f64) #s(literal 2 binary64))
(PI.f64)
#s(literal 2 binary64)
#s(literal 1/2 binary64)
(+.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) (pow.f64 (pow.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)) #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))
(fma.f64 (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))) (cos.f64 (*.f64 u2 (*.f64 (PI.f64) #s(literal 2 binary64))))) #s(literal 1/6 binary64) #s(literal 1/2 binary64))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) (pow.f64 (pow.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)) #s(literal 1/4 binary64)) #s(literal 2 binary64))) (cos.f64 (*.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) u2)))
(*.f64 (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))) (cos.f64 (*.f64 u2 (*.f64 (PI.f64) #s(literal 2 binary64))))) #s(literal 1/6 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) (pow.f64 (pow.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)) #s(literal 1/4 binary64)) #s(literal 2 binary64)))
(*.f64 (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal 1/6 binary64))
(/.f64 #s(literal 1 binary64) #s(literal 6 binary64))
#s(literal 1/6 binary64)
#s(literal 1 binary64)
#s(literal 6 binary64)
(pow.f64 (pow.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)))
(pow.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)) #s(literal 1/4 binary64))
(*.f64 (log.f64 u1) #s(literal -2 binary64))
(log.f64 u1)
u1
#s(literal -2 binary64)
#s(literal 1/4 binary64)
#s(literal 2 binary64)
(cos.f64 (*.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) u2))
(cos.f64 (*.f64 u2 (*.f64 (PI.f64) #s(literal 2 binary64))))
(*.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) u2)
(*.f64 u2 (*.f64 (PI.f64) #s(literal 2 binary64)))
(*.f64 #s(literal 2 binary64) (PI.f64))
(*.f64 (PI.f64) #s(literal 2 binary64))
(PI.f64)
u2
#s(literal 1/2 binary64)
(+.f64 (*.f64 (*.f64 (exp.f64 (*.f64 (log.f64 #s(literal 6 binary64)) #s(literal -1 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 (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))) (cos.f64 (*.f64 u2 (*.f64 (PI.f64) #s(literal 2 binary64))))) #s(literal 1/6 binary64) #s(literal 1/2 binary64))
(*.f64 (*.f64 (exp.f64 (*.f64 (log.f64 #s(literal 6 binary64)) #s(literal -1 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)))
(*.f64 (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))) (cos.f64 (*.f64 u2 (*.f64 (PI.f64) #s(literal 2 binary64))))) #s(literal 1/6 binary64))
(*.f64 (exp.f64 (*.f64 (log.f64 #s(literal 6 binary64)) #s(literal -1 binary64))) (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal 1/6 binary64))
(exp.f64 (*.f64 (log.f64 #s(literal 6 binary64)) #s(literal -1 binary64)))
#s(literal 1/6 binary64)
(*.f64 (log.f64 #s(literal 6 binary64)) #s(literal -1 binary64))
(log.f64 #s(literal 1/6 binary64))
(log.f64 #s(literal 6 binary64))
#s(literal 6 binary64)
#s(literal -1 binary64)
(pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/2 binary64))
(sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)))
(*.f64 #s(literal -2 binary64) (log.f64 u1))
(*.f64 (log.f64 u1) #s(literal -2 binary64))
#s(literal -2 binary64)
(log.f64 u1)
u1
#s(literal 1/2 binary64)
(cos.f64 (*.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) u2))
(cos.f64 (*.f64 u2 (*.f64 (PI.f64) #s(literal 2 binary64))))
(*.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) u2)
(*.f64 u2 (*.f64 (PI.f64) #s(literal 2 binary64)))
(*.f64 #s(literal 2 binary64) (PI.f64))
(*.f64 (PI.f64) #s(literal 2 binary64))
#s(literal 2 binary64)
(PI.f64)
u2

localize250.0ms (2.4%)

Memory
42.5MiB live, 186.7MiB allocated; 20ms collecting garbage
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(log.f64 #s(literal 6 binary64))
accuracy0.0
(exp.f64 (*.f64 (log.f64 #s(literal 6 binary64)) #s(literal -1 binary64)))
accuracy0.0
(cos.f64 (*.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) u2))
accuracy61.99849058512738
(PI.f64)
accuracy0.0
(*.f64 #s(literal 2 binary64) (PI.f64))
accuracy0.0
(log.f64 u1)
accuracy0.0
(cos.f64 (*.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) u2))
accuracy61.99849058512738
(PI.f64)
accuracy0.0
(sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)))
accuracy0.0
(log.f64 u1)
accuracy0.0
(cos.f64 (*.f64 u2 (*.f64 (PI.f64) #s(literal 2 binary64))))
accuracy61.99849058512738
(PI.f64)
accuracy0.0
(sqrt.f64 (log.f64 u1))
accuracy0.0
(sqrt.f64 #s(literal -2 binary64))
accuracy0.0
(log.f64 u1)
accuracy0.0
#s(approx (+ (* (* (/ 1 6) (pow (* -2 (log u1)) 1/2)) (cos (* (* 2 (PI)) u2))) 1/2) (fma.f64 (*.f64 (sqrt.f64 #s(literal -2 binary64)) #s(literal 1/6 binary64)) (sqrt.f64 (log.f64 u1)) #s(literal 1/2 binary64)))
accuracy0.0
(log.f64 u1)
accuracy0.0
(cos.f64 (*.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) u2))
accuracy0.0
#s(approx (pow (* -2 (log u1)) 1/2) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (neg.f64 (log.f64 u1)))))
accuracy61.99849058512738
(PI.f64)
Samples
214.0ms256×0invalid
Compiler

Compiled 390 to 51 computations (86.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 169.0ms
ival-pow: 82.0ms (48.5% of total)
ival-sqrt: 32.0ms (18.9% of total)
ival-mult: 25.0ms (14.8% of total)
ival-add: 6.0ms (3.5% of total)
ival-log: 5.0ms (3% of total)
const: 4.0ms (2.4% of total)
ival-exp: 3.0ms (1.8% of total)
ival-cosu: 3.0ms (1.8% of total)
ival-pow2: 3.0ms (1.8% of total)
ival-div: 2.0ms (1.2% of total)
ival-cos: 2.0ms (1.2% of total)
ival-pi: 1.0ms (0.6% of total)
exact: 1.0ms (0.6% of total)
ival-neg: 1.0ms (0.6% of total)
ival-assert: 0.0ms (0% of total)
adjust: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series207.0ms (2%)

Memory
13.5MiB live, 98.4MiB allocated; 16ms collecting garbage
Counts
27 → 36
Calls
Call 1
Inputs
(/.f64 #s(literal 1 binary64) #s(literal 6 binary64))
(+.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) #s(approx (pow (* -2 (log u1)) 1/2) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (neg.f64 (log.f64 u1)))))) (cos.f64 (*.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) u2))) #s(literal 1/2 binary64))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) #s(approx (pow (* -2 (log u1)) 1/2) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (neg.f64 (log.f64 u1)))))) (cos.f64 (*.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) u2)))
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) #s(approx (pow (* -2 (log u1)) 1/2) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (neg.f64 (log.f64 u1))))))
#s(approx (+ (* (* (/ 1 6) (pow (* -2 (log u1)) 1/2)) (cos (* (* 2 (PI)) u2))) 1/2) (fma.f64 (*.f64 (sqrt.f64 #s(literal -2 binary64)) #s(literal 1/6 binary64)) (sqrt.f64 (log.f64 u1)) #s(literal 1/2 binary64)))
(fma.f64 (*.f64 (sqrt.f64 #s(literal -2 binary64)) #s(literal 1/6 binary64)) (sqrt.f64 (log.f64 u1)) #s(literal 1/2 binary64))
(*.f64 (sqrt.f64 #s(literal -2 binary64)) #s(literal 1/6 binary64))
(sqrt.f64 #s(literal -2 binary64))
(fma.f64 (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal 1/6 binary64)) (cos.f64 (*.f64 u2 (*.f64 (PI.f64) #s(literal 2 binary64)))) #s(literal 1/2 binary64))
(*.f64 (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal 1/6 binary64))
(sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)))
(*.f64 (log.f64 u1) #s(literal -2 binary64))
(pow.f64 (pow.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(+.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) (pow.f64 (pow.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)) #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 #s(literal 1 binary64) #s(literal 6 binary64)) (pow.f64 (pow.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)) #s(literal 1/4 binary64)) #s(literal 2 binary64))) (cos.f64 (*.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) u2)))
(exp.f64 (*.f64 (log.f64 #s(literal 6 binary64)) #s(literal -1 binary64)))
(*.f64 (log.f64 #s(literal 6 binary64)) #s(literal -1 binary64))
(+.f64 (*.f64 (*.f64 (exp.f64 (*.f64 (log.f64 #s(literal 6 binary64)) #s(literal -1 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))
(pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/2 binary64))
(PI.f64)
#s(approx (pow (* -2 (log u1)) 1/2) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (neg.f64 (log.f64 u1)))))
(cos.f64 (*.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) u2))
(log.f64 u1)
(sqrt.f64 (log.f64 u1))
(cos.f64 (*.f64 u2 (*.f64 (PI.f64) #s(literal 2 binary64))))
(*.f64 #s(literal 2 binary64) (PI.f64))
(log.f64 #s(literal 6 binary64))
Outputs
(+ 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 (* (sqrt (log u1)) (sqrt -2)))
(+ 1/2 (* 1/6 (* (sqrt (log u1)) (sqrt -2))))
(* (sqrt (log u1)) (sqrt -2))
(* -2 (log u1))
(log u1)
(sqrt (log u1))
(+ 1/2 (* 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 (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1))))
(+ 1/2 (* 1/6 (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1)))))
(* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1)))
(* 2 (log (/ 1 u1)))
(* (sqrt (log (/ 1 u1))) (sqrt 2))
(* -1 (log (/ 1 u1)))
(* (sqrt (log (/ 1 u1))) (sqrt -1))
(+ 1/2 (* 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 -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))))
(+ 1/2 (* 1/6 (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))))
(* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))
(* -2 (+ (log -1) (* -1 (log (/ -1 u1)))))
(+ (log -1) (* -1 (log (/ -1 u1))))
(sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))
(+ 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))))))))))
(+ (* -1/3 (* (* (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
(+ 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))))
Calls

6 calls:

TimeVariablePointExpression
168.0ms
u1
@0
((/ 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)) (+ (* (* (/ 1 6) (pow (* -2 (log u1)) 1/2)) (cos (* (* 2 (PI)) u2))) 1/2) (+ (* (* (sqrt -2) 1/6) (sqrt (log u1))) 1/2) (* (sqrt -2) 1/6) (sqrt -2) (+ (* (* (sqrt (* (log u1) -2)) 1/6) (cos (* u2 (* (PI) 2)))) 1/2) (* (sqrt (* (log u1) -2)) 1/6) (sqrt (* (log u1) -2)) (* (log u1) -2) (pow (pow (* (log u1) -2) 1/4) 2) (+ (* (* (/ 1 6) (pow (pow (* (log u1) -2) 1/4) 2)) (cos (* (* 2 (PI)) u2))) 1/2) (* (* (/ 1 6) (pow (pow (* (log u1) -2) 1/4) 2)) (cos (* (* 2 (PI)) u2))) (exp (* (log 6) -1)) (* (log 6) -1) (+ (* (* (exp (* (log 6) -1)) (pow (* -2 (log u1)) 1/2)) (cos (* (* 2 (PI)) u2))) 1/2) (pow (* -2 (log u1)) 1/2) (PI) (pow (* -2 (log u1)) 1/2) (cos (* (* 2 (PI)) u2)) (log u1) (sqrt (log u1)) (cos (* u2 (* (PI) 2))) (* 2 (PI)) (log 6))
13.0ms
u1
@-inf
((/ 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)) (+ (* (* (/ 1 6) (pow (* -2 (log u1)) 1/2)) (cos (* (* 2 (PI)) u2))) 1/2) (+ (* (* (sqrt -2) 1/6) (sqrt (log u1))) 1/2) (* (sqrt -2) 1/6) (sqrt -2) (+ (* (* (sqrt (* (log u1) -2)) 1/6) (cos (* u2 (* (PI) 2)))) 1/2) (* (sqrt (* (log u1) -2)) 1/6) (sqrt (* (log u1) -2)) (* (log u1) -2) (pow (pow (* (log u1) -2) 1/4) 2) (+ (* (* (/ 1 6) (pow (pow (* (log u1) -2) 1/4) 2)) (cos (* (* 2 (PI)) u2))) 1/2) (* (* (/ 1 6) (pow (pow (* (log u1) -2) 1/4) 2)) (cos (* (* 2 (PI)) u2))) (exp (* (log 6) -1)) (* (log 6) -1) (+ (* (* (exp (* (log 6) -1)) (pow (* -2 (log u1)) 1/2)) (cos (* (* 2 (PI)) u2))) 1/2) (pow (* -2 (log u1)) 1/2) (PI) (pow (* -2 (log u1)) 1/2) (cos (* (* 2 (PI)) u2)) (log u1) (sqrt (log u1)) (cos (* u2 (* (PI) 2))) (* 2 (PI)) (log 6))
9.0ms
u1
@inf
((/ 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)) (+ (* (* (/ 1 6) (pow (* -2 (log u1)) 1/2)) (cos (* (* 2 (PI)) u2))) 1/2) (+ (* (* (sqrt -2) 1/6) (sqrt (log u1))) 1/2) (* (sqrt -2) 1/6) (sqrt -2) (+ (* (* (sqrt (* (log u1) -2)) 1/6) (cos (* u2 (* (PI) 2)))) 1/2) (* (sqrt (* (log u1) -2)) 1/6) (sqrt (* (log u1) -2)) (* (log u1) -2) (pow (pow (* (log u1) -2) 1/4) 2) (+ (* (* (/ 1 6) (pow (pow (* (log u1) -2) 1/4) 2)) (cos (* (* 2 (PI)) u2))) 1/2) (* (* (/ 1 6) (pow (pow (* (log u1) -2) 1/4) 2)) (cos (* (* 2 (PI)) u2))) (exp (* (log 6) -1)) (* (log 6) -1) (+ (* (* (exp (* (log 6) -1)) (pow (* -2 (log u1)) 1/2)) (cos (* (* 2 (PI)) u2))) 1/2) (pow (* -2 (log u1)) 1/2) (PI) (pow (* -2 (log u1)) 1/2) (cos (* (* 2 (PI)) u2)) (log u1) (sqrt (log u1)) (cos (* u2 (* (PI) 2))) (* 2 (PI)) (log 6))
7.0ms
u2
@-inf
((/ 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)) (+ (* (* (/ 1 6) (pow (* -2 (log u1)) 1/2)) (cos (* (* 2 (PI)) u2))) 1/2) (+ (* (* (sqrt -2) 1/6) (sqrt (log u1))) 1/2) (* (sqrt -2) 1/6) (sqrt -2) (+ (* (* (sqrt (* (log u1) -2)) 1/6) (cos (* u2 (* (PI) 2)))) 1/2) (* (sqrt (* (log u1) -2)) 1/6) (sqrt (* (log u1) -2)) (* (log u1) -2) (pow (pow (* (log u1) -2) 1/4) 2) (+ (* (* (/ 1 6) (pow (pow (* (log u1) -2) 1/4) 2)) (cos (* (* 2 (PI)) u2))) 1/2) (* (* (/ 1 6) (pow (pow (* (log u1) -2) 1/4) 2)) (cos (* (* 2 (PI)) u2))) (exp (* (log 6) -1)) (* (log 6) -1) (+ (* (* (exp (* (log 6) -1)) (pow (* -2 (log u1)) 1/2)) (cos (* (* 2 (PI)) u2))) 1/2) (pow (* -2 (log u1)) 1/2) (PI) (pow (* -2 (log u1)) 1/2) (cos (* (* 2 (PI)) u2)) (log u1) (sqrt (log u1)) (cos (* u2 (* (PI) 2))) (* 2 (PI)) (log 6))
7.0ms
u2
@inf
((/ 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)) (+ (* (* (/ 1 6) (pow (* -2 (log u1)) 1/2)) (cos (* (* 2 (PI)) u2))) 1/2) (+ (* (* (sqrt -2) 1/6) (sqrt (log u1))) 1/2) (* (sqrt -2) 1/6) (sqrt -2) (+ (* (* (sqrt (* (log u1) -2)) 1/6) (cos (* u2 (* (PI) 2)))) 1/2) (* (sqrt (* (log u1) -2)) 1/6) (sqrt (* (log u1) -2)) (* (log u1) -2) (pow (pow (* (log u1) -2) 1/4) 2) (+ (* (* (/ 1 6) (pow (pow (* (log u1) -2) 1/4) 2)) (cos (* (* 2 (PI)) u2))) 1/2) (* (* (/ 1 6) (pow (pow (* (log u1) -2) 1/4) 2)) (cos (* (* 2 (PI)) u2))) (exp (* (log 6) -1)) (* (log 6) -1) (+ (* (* (exp (* (log 6) -1)) (pow (* -2 (log u1)) 1/2)) (cos (* (* 2 (PI)) u2))) 1/2) (pow (* -2 (log u1)) 1/2) (PI) (pow (* -2 (log u1)) 1/2) (cos (* (* 2 (PI)) u2)) (log u1) (sqrt (log u1)) (cos (* u2 (* (PI) 2))) (* 2 (PI)) (log 6))

simplify203.0ms (1.9%)

Memory
7.0MiB live, 181.7MiB allocated; 41ms collecting garbage
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0109602
1335578
21312550
33779530
47598530
08143503
Stop Event
iter limit
node limit
Counts
36 → 36
Calls
Call 1
Inputs
(+ 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 (* (sqrt (log u1)) (sqrt -2)))
(+ 1/2 (* 1/6 (* (sqrt (log u1)) (sqrt -2))))
(* (sqrt (log u1)) (sqrt -2))
(* -2 (log u1))
(log u1)
(sqrt (log u1))
(+ 1/2 (* 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 (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1))))
(+ 1/2 (* 1/6 (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1)))))
(* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1)))
(* 2 (log (/ 1 u1)))
(* (sqrt (log (/ 1 u1))) (sqrt 2))
(* -1 (log (/ 1 u1)))
(* (sqrt (log (/ 1 u1))) (sqrt -1))
(+ 1/2 (* 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 -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))))
(+ 1/2 (* 1/6 (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))))
(* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))
(* -2 (+ (log -1) (* -1 (log (/ -1 u1)))))
(+ (log -1) (* -1 (log (/ -1 u1))))
(sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))
(+ 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))))))))))
(+ (* -1/3 (* (* (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
(+ 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))))
Outputs
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))))
(fma.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -2 binary64)) #s(literal 1/6 binary64)) (cos.f64 (*.f64 (*.f64 (PI.f64) u2) #s(literal -2 binary64)))) (sqrt.f64 (log.f64 u1)) #s(literal 1/2 binary64))
(* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1))))
(*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -2 binary64)) #s(literal 1/6 binary64)) (cos.f64 (*.f64 (*.f64 (PI.f64) u2) #s(literal -2 binary64)))) (sqrt.f64 (log.f64 u1)))
(* 1/6 (* (sqrt (log u1)) (sqrt -2)))
(*.f64 (*.f64 (sqrt.f64 #s(literal -2 binary64)) #s(literal 1/6 binary64)) (sqrt.f64 (log.f64 u1)))
(+ 1/2 (* 1/6 (* (sqrt (log u1)) (sqrt -2))))
(fma.f64 (*.f64 (sqrt.f64 #s(literal -2 binary64)) #s(literal 1/6 binary64)) (sqrt.f64 (log.f64 u1)) #s(literal 1/2 binary64))
(* (sqrt (log u1)) (sqrt -2))
(*.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 #s(literal -2 binary64)))
(* -2 (log u1))
(*.f64 (log.f64 u1) #s(literal -2 binary64))
(log u1)
(log.f64 u1)
(sqrt (log u1))
(sqrt.f64 (log.f64 u1))
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -2) (sqrt -1))) (sqrt (log (/ 1 u1))))))
(fma.f64 (*.f64 (cos.f64 (*.f64 (*.f64 (PI.f64) u2) #s(literal -2 binary64))) #s(literal 1/6 binary64)) (*.f64 (*.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (sqrt.f64 #s(literal -2 binary64))) (sqrt.f64 #s(literal -1 binary64))) #s(literal 1/2 binary64))
(* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -2) (sqrt -1))) (sqrt (log (/ 1 u1)))))
(*.f64 (*.f64 (cos.f64 (*.f64 (*.f64 (PI.f64) u2) #s(literal -2 binary64))) #s(literal 1/6 binary64)) (*.f64 (*.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (sqrt.f64 #s(literal -2 binary64))) (sqrt.f64 #s(literal -1 binary64))))
(* 1/6 (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1))))
(*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 1/6 binary64)) (*.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (sqrt.f64 #s(literal -2 binary64))))
(+ 1/2 (* 1/6 (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1)))))
(fma.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 1/6 binary64)) (*.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (sqrt.f64 #s(literal -2 binary64))) #s(literal 1/2 binary64))
(* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1)))
(*.f64 (*.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (sqrt.f64 #s(literal -2 binary64))) (sqrt.f64 #s(literal -1 binary64)))
(* 2 (log (/ 1 u1)))
(*.f64 (log.f64 u1) #s(literal -2 binary64))
(* (sqrt (log (/ 1 u1))) (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (neg.f64 (log.f64 u1))))
(* -1 (log (/ 1 u1)))
(log.f64 u1)
(* (sqrt (log (/ 1 u1))) (sqrt -1))
(*.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (sqrt.f64 #s(literal -1 binary64)))
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))))
(fma.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -2 binary64)) #s(literal 1/6 binary64)) (cos.f64 (*.f64 (*.f64 (PI.f64) u2) #s(literal -2 binary64)))) (sqrt.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) u1)))) #s(literal 1/2 binary64))
(* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))))
(*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -2 binary64)) #s(literal 1/6 binary64)) (cos.f64 (*.f64 (*.f64 (PI.f64) u2) #s(literal -2 binary64)))) (sqrt.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) u1)))))
(* 1/6 (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))))
(*.f64 (*.f64 (sqrt.f64 #s(literal -2 binary64)) #s(literal 1/6 binary64)) (sqrt.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) u1)))))
(+ 1/2 (* 1/6 (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))))
(fma.f64 (*.f64 (sqrt.f64 #s(literal -2 binary64)) #s(literal 1/6 binary64)) (sqrt.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) u1)))) #s(literal 1/2 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)))
(* -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))
(+ (log -1) (* -1 (log (/ -1 u1))))
(-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) u1)))
(sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))
(sqrt.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) u1))))
(+ 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 (*.f64 (*.f64 (PI.f64) (PI.f64)) u2) u2) #s(literal -1/3 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)))) (* 1/9 (* (* (pow u2 2) (* (pow (PI) 4) (sqrt -2))) (sqrt (log u1))))))))
(fma.f64 (sqrt.f64 (log.f64 u1)) (fma.f64 (*.f64 u2 u2) (*.f64 (sqrt.f64 #s(literal -2 binary64)) (fma.f64 (*.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 4 binary64)) u2) u2) #s(literal 1/9 binary64) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal -1/3 binary64)))) (*.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))) (* (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 (pow.f64 u2 #s(literal 4 binary64)) (*.f64 (*.f64 (sqrt.f64 #s(literal -2 binary64)) (fma.f64 (*.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 6 binary64)) u2) u2) #s(literal -2/135 binary64) (*.f64 (pow.f64 (PI.f64) #s(literal 4 binary64)) #s(literal 1/9 binary64)))) (sqrt.f64 (log.f64 u1))) (fma.f64 (sqrt.f64 (log.f64 u1)) (*.f64 (sqrt.f64 #s(literal -2 binary64)) (fma.f64 (*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) u2) u2) #s(literal -1/3 binary64) #s(literal 1/6 binary64))) #s(literal 1/2 binary64)))
(+ (* -1/3 (* (* (pow u2 2) (* (pow (PI) 2) (sqrt -2))) (sqrt (log u1)))) (* 1/6 (* (sqrt (log u1)) (sqrt -2))))
(*.f64 (sqrt.f64 (log.f64 u1)) (*.f64 (sqrt.f64 #s(literal -2 binary64)) (fma.f64 (*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) u2) u2) #s(literal -1/3 binary64) #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)) (fma.f64 (*.f64 u2 u2) (*.f64 (sqrt.f64 #s(literal -2 binary64)) (fma.f64 (*.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 4 binary64)) u2) u2) #s(literal 1/9 binary64) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal -1/3 binary64)))) (*.f64 (sqrt.f64 #s(literal -2 binary64)) #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)))))))))
(fma.f64 (pow.f64 u2 #s(literal 4 binary64)) (*.f64 (*.f64 (sqrt.f64 #s(literal -2 binary64)) (fma.f64 (*.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 6 binary64)) u2) u2) #s(literal -2/135 binary64) (*.f64 (pow.f64 (PI.f64) #s(literal 4 binary64)) #s(literal 1/9 binary64)))) (sqrt.f64 (log.f64 u1))) (*.f64 (sqrt.f64 (log.f64 u1)) (*.f64 (sqrt.f64 #s(literal -2 binary64)) (fma.f64 (*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) u2) u2) #s(literal -1/3 binary64) #s(literal 1/6 binary64)))))
1
#s(literal 1 binary64)
(+ 1 (* -2 (* (pow u2 2) (pow (PI) 2))))
(fma.f64 (*.f64 (*.f64 u2 u2) #s(literal -2 binary64)) (*.f64 (PI.f64) (PI.f64)) #s(literal 1 binary64))
(+ 1 (* (pow u2 2) (+ (* -2 (pow (PI) 2)) (* 2/3 (* (pow u2 2) (pow (PI) 4))))))
(fma.f64 (fma.f64 (*.f64 (PI.f64) #s(literal -2 binary64)) (PI.f64) (*.f64 (*.f64 (*.f64 #s(literal 2/3 binary64) (pow.f64 (PI.f64) #s(literal 4 binary64))) u2) u2)) (*.f64 u2 u2) #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 (pow.f64 u2 #s(literal 4 binary64)) (fma.f64 (*.f64 #s(literal -4/45 binary64) (pow.f64 (PI.f64) #s(literal 6 binary64))) (*.f64 u2 u2) (*.f64 #s(literal 2/3 binary64) (pow.f64 (PI.f64) #s(literal 4 binary64)))) (fma.f64 (*.f64 (*.f64 u2 u2) #s(literal -2 binary64)) (*.f64 (PI.f64) (PI.f64)) #s(literal 1 binary64)))
(cos (* 2 (* u2 (PI))))
(cos.f64 (*.f64 (*.f64 (PI.f64) u2) #s(literal -2 binary64)))

rewrite121.0ms (1.1%)

Memory
-26.4MiB live, 89.2MiB allocated; 12ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
060255
0103224
1307222
01301219
Stop Event
iter limit
iter limit
node limit
iter limit
Counts
27 → 391
Calls
Call 1
Inputs
(/.f64 #s(literal 1 binary64) #s(literal 6 binary64))
(+.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) #s(approx (pow (* -2 (log u1)) 1/2) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (neg.f64 (log.f64 u1)))))) (cos.f64 (*.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) u2))) #s(literal 1/2 binary64))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) #s(approx (pow (* -2 (log u1)) 1/2) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (neg.f64 (log.f64 u1)))))) (cos.f64 (*.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) u2)))
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) #s(approx (pow (* -2 (log u1)) 1/2) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (neg.f64 (log.f64 u1))))))
#s(approx (+ (* (* (/ 1 6) (pow (* -2 (log u1)) 1/2)) (cos (* (* 2 (PI)) u2))) 1/2) (fma.f64 (*.f64 (sqrt.f64 #s(literal -2 binary64)) #s(literal 1/6 binary64)) (sqrt.f64 (log.f64 u1)) #s(literal 1/2 binary64)))
(fma.f64 (*.f64 (sqrt.f64 #s(literal -2 binary64)) #s(literal 1/6 binary64)) (sqrt.f64 (log.f64 u1)) #s(literal 1/2 binary64))
(*.f64 (sqrt.f64 #s(literal -2 binary64)) #s(literal 1/6 binary64))
(sqrt.f64 #s(literal -2 binary64))
(fma.f64 (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal 1/6 binary64)) (cos.f64 (*.f64 u2 (*.f64 (PI.f64) #s(literal 2 binary64)))) #s(literal 1/2 binary64))
(*.f64 (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal 1/6 binary64))
(sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)))
(*.f64 (log.f64 u1) #s(literal -2 binary64))
(pow.f64 (pow.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(+.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) (pow.f64 (pow.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)) #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 #s(literal 1 binary64) #s(literal 6 binary64)) (pow.f64 (pow.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)) #s(literal 1/4 binary64)) #s(literal 2 binary64))) (cos.f64 (*.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) u2)))
(exp.f64 (*.f64 (log.f64 #s(literal 6 binary64)) #s(literal -1 binary64)))
(*.f64 (log.f64 #s(literal 6 binary64)) #s(literal -1 binary64))
(+.f64 (*.f64 (*.f64 (exp.f64 (*.f64 (log.f64 #s(literal 6 binary64)) #s(literal -1 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))
(pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/2 binary64))
(PI.f64)
#s(approx (pow (* -2 (log u1)) 1/2) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (neg.f64 (log.f64 u1)))))
(cos.f64 (*.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) u2))
(log.f64 u1)
(sqrt.f64 (log.f64 u1))
(cos.f64 (*.f64 u2 (*.f64 (PI.f64) #s(literal 2 binary64))))
(*.f64 #s(literal 2 binary64) (PI.f64))
(log.f64 #s(literal 6 binary64))
Outputs
(*.f64 (pow.f64 #s(literal 6 binary64) #s(literal -1/2 binary64)) (pow.f64 #s(literal 6 binary64) #s(literal -1/2 binary64)))
(pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 #s(literal 6 binary64)))
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(pow.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64))
(pow.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (cbrt.f64 (PI.f64)) #s(literal 3 binary64))
(pow.f64 (PI.f64) #s(literal 1 binary64))
(cbrt.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)))
(sqrt.f64 (*.f64 (PI.f64) (PI.f64)))
(exp.f64 (*.f64 (log.f64 (PI.f64)) #s(literal 1 binary64)))
(exp.f64 (log.f64 (PI.f64)))
(+.f64 (cosh.f64 (log.f64 (PI.f64))) (sinh.f64 (log.f64 (PI.f64))))
(log.f64 (exp.f64 (PI.f64)))
(PI.f64)
(*.f64 #s(approx (pow (* -2 (log u1)) 1/2) (sqrt.f64 (*.f64 (neg.f64 (log.f64 u1)) #s(literal 2 binary64)))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) #s(approx (pow (* -2 (log u1)) 1/2) (sqrt.f64 (*.f64 (neg.f64 (log.f64 u1)) #s(literal 2 binary64)))))
#s(approx (pow (* -2 (log u1)) 1/2) (sqrt.f64 (*.f64 (neg.f64 (log.f64 u1)) #s(literal 2 binary64))))
(/.f64 (*.f64 #s(literal 2 binary64) #s(approx (pow (* -2 (log u1)) 1/2) (sqrt.f64 (*.f64 (neg.f64 (log.f64 u1)) #s(literal 2 binary64))))) #s(literal 2 binary64))
(fma.f64 (sin.f64 (*.f64 u2 (*.f64 (PI.f64) #s(literal 2 binary64)))) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (cos.f64 (*.f64 u2 (*.f64 (PI.f64) #s(literal 2 binary64)))) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))))
(sin.f64 (fma.f64 (*.f64 u2 (PI.f64)) #s(literal -2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64))))
(sin.f64 (fma.f64 u2 (*.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64))))
(-.f64 (*.f64 (cos.f64 (*.f64 u2 (PI.f64))) (cos.f64 (*.f64 u2 (PI.f64)))) (*.f64 (sin.f64 (*.f64 u2 (PI.f64))) (sin.f64 (*.f64 u2 (PI.f64)))))
(cos.f64 (neg.f64 (*.f64 (*.f64 u2 (PI.f64)) #s(literal -2 binary64))))
(cos.f64 (*.f64 (*.f64 u2 (PI.f64)) #s(literal -2 binary64)))
(cos.f64 (*.f64 u2 (*.f64 (PI.f64) #s(literal 2 binary64))))
(+.f64 (*.f64 (sin.f64 (*.f64 u2 (*.f64 (PI.f64) #s(literal 2 binary64)))) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))) (*.f64 (cos.f64 (*.f64 u2 (*.f64 (PI.f64) #s(literal 2 binary64)))) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))))
(log.f64 u1)
(*.f64 (pow.f64 (log.f64 u1) #s(literal 1/4 binary64)) (pow.f64 (log.f64 u1) #s(literal 1/4 binary64)))
(pow.f64 (pow.f64 (log.f64 u1) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (log.f64 u1) #s(literal 1/2 binary64))
(sqrt.f64 (log.f64 u1))
(exp.f64 (*.f64 (log.f64 (log.f64 u1)) #s(literal 1/2 binary64)))
(fma.f64 (sin.f64 (*.f64 u2 (*.f64 (PI.f64) #s(literal 2 binary64)))) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (cos.f64 (*.f64 u2 (*.f64 (PI.f64) #s(literal 2 binary64)))) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))))
(sin.f64 (fma.f64 (*.f64 u2 (PI.f64)) #s(literal -2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64))))
(sin.f64 (fma.f64 u2 (*.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64))))
(-.f64 (*.f64 (cos.f64 (*.f64 u2 (PI.f64))) (cos.f64 (*.f64 u2 (PI.f64)))) (*.f64 (sin.f64 (*.f64 u2 (PI.f64))) (sin.f64 (*.f64 u2 (PI.f64)))))
(cos.f64 (neg.f64 (*.f64 (*.f64 u2 (PI.f64)) #s(literal -2 binary64))))
(cos.f64 (*.f64 (*.f64 u2 (PI.f64)) #s(literal -2 binary64)))
(cos.f64 (*.f64 u2 (*.f64 (PI.f64) #s(literal 2 binary64))))
(+.f64 (*.f64 (sin.f64 (*.f64 u2 (*.f64 (PI.f64) #s(literal 2 binary64)))) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))) (*.f64 (cos.f64 (*.f64 u2 (*.f64 (PI.f64) #s(literal 2 binary64)))) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))))
(*.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)))
(*.f64 (*.f64 #s(literal 2 binary64) (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64))) (cbrt.f64 (PI.f64)))
(*.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)))
(*.f64 (sqrt.f64 (PI.f64)) (+.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))))
(*.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (+.f64 (cbrt.f64 (PI.f64)) (cbrt.f64 (PI.f64))))
(*.f64 (cbrt.f64 (PI.f64)) (fma.f64 (cbrt.f64 (PI.f64)) (cbrt.f64 (PI.f64)) (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64))))
(*.f64 (PI.f64) #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) (PI.f64))
(/.f64 (-.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (PI.f64))) (-.f64 (PI.f64) (PI.f64)))
(/.f64 (+.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) (pow.f64 (PI.f64) #s(literal 3 binary64))) (fma.f64 (PI.f64) (PI.f64) (-.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (PI.f64)))))
(fma.f64 (neg.f64 (sqrt.f64 (PI.f64))) (neg.f64 (sqrt.f64 (PI.f64))) (PI.f64))
(fma.f64 (pow.f64 (sqrt.f64 (PI.f64)) #s(literal 1 binary64)) (pow.f64 (sqrt.f64 (PI.f64)) #s(literal 1 binary64)) (PI.f64))
(fma.f64 (pow.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) #s(literal 1 binary64)) (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 1 binary64)) (PI.f64))
(fma.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)) (PI.f64))
(fma.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (cbrt.f64 (PI.f64)) (PI.f64))
(fma.f64 (cbrt.f64 (PI.f64)) (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (PI.f64))
(fma.f64 (PI.f64) #s(literal 1 binary64) (*.f64 (PI.f64) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (PI.f64) (*.f64 #s(literal 1 binary64) (PI.f64)))
(-.f64 (PI.f64) (*.f64 (neg.f64 (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64))))
(-.f64 (PI.f64) (*.f64 (neg.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64))) (cbrt.f64 (PI.f64))))
(+.f64 (*.f64 #s(literal 1 binary64) (PI.f64)) (*.f64 #s(literal 1 binary64) (PI.f64)))
(+.f64 (*.f64 (PI.f64) #s(literal 1 binary64)) (*.f64 (PI.f64) #s(literal 1 binary64)))
(+.f64 (PI.f64) (PI.f64))
(log.f64 (pow.f64 (exp.f64 (PI.f64)) #s(literal 2 binary64)))
(log.f64 (*.f64 (exp.f64 (PI.f64)) (exp.f64 (PI.f64))))
(log.f64 #s(literal 6 binary64))

eval457.0ms (4.3%)

Memory
-1.8MiB live, 85.1MiB allocated; 10ms collecting garbage
Compiler

Compiled 12 892 to 1 523 computations (88.2% saved)

prune17.0ms (0.2%)

Memory
1.1MiB live, 46.2MiB allocated; 3ms collecting garbage
Pruning

12 alts after pruning (11 fresh and 1 done)

PrunedKeptTotal
New44310453
Fresh415
Picked415
Done000
Total45112463
Accuracy
100.0%
Counts
463 → 12
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.5%
(fma.f64 (/.f64 (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal 6 binary64)) (cos.f64 (*.f64 u2 (*.f64 (PI.f64) #s(literal 2 binary64)))) #s(literal 1/2 binary64))
99.3%
(fma.f64 (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal 1/6 binary64)) (cos.f64 (*.f64 u2 (*.f64 (PI.f64) #s(literal 2 binary64)))) #s(literal 1/2 binary64))
99.4%
(fma.f64 (*.f64 (cos.f64 (*.f64 u2 (*.f64 (PI.f64) #s(literal 2 binary64)))) #s(literal 1/6 binary64)) (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal 1/2 binary64))
97.2%
(+.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) (pow.f64 (pow.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)) #s(literal 1/4 binary64)) #s(literal 2 binary64))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary64))) #s(literal 1/2 binary64))
98.4%
(+.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) #s(approx (pow (* -2 (log u1)) 1/2) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (neg.f64 (log.f64 u1)))))) #s(approx (cos (* (* 2 (PI)) u2)) (fma.f64 (*.f64 (*.f64 u2 u2) #s(literal -2 binary64)) (*.f64 (PI.f64) (PI.f64)) #s(literal 1 binary64)))) #s(literal 1/2 binary64))
97.7%
(+.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) #s(approx (pow (* -2 (log u1)) 1/2) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (neg.f64 (log.f64 u1)))))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary64))) #s(literal 1/2 binary64))
97.3%
(+.f64 (*.f64 (*.f64 (exp.f64 (*.f64 (log.f64 #s(literal 6 binary64)) #s(literal -1 binary64))) (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/2 binary64))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary64))) #s(literal 1/2 binary64))
99.6%
(+.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) #s(approx (pow (* -2 (log u1)) 1/2) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (neg.f64 (log.f64 u1)))))) (cos.f64 (*.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) u2))) #s(literal 1/2 binary64))
97.3%
#s(approx (+ (* (* (/ 1 6) (pow (* -2 (log u1)) 1/2)) (cos (* (* 2 (PI)) u2))) 1/2) (fma.f64 (pow.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)) #s(literal 1/4 binary64)) (*.f64 (pow.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)) #s(literal 1/4 binary64)) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))
97.5%
#s(approx (+ (* (* (/ 1 6) (pow (* -2 (log u1)) 1/2)) (cos (* (* 2 (PI)) u2))) 1/2) (fma.f64 (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal 1/6 binary64) #s(literal 1/2 binary64)))
97.4%
#s(approx (+ (* (* (/ 1 6) (pow (* -2 (log u1)) 1/2)) (cos (* (* 2 (PI)) u2))) 1/2) (/.f64 (-.f64 (pow.f64 (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal 1/6 binary64)) #s(literal 2 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))))
97.2%
#s(approx (+ (* (* (/ 1 6) (pow (* -2 (log u1)) 1/2)) (cos (* (* 2 (PI)) u2))) 1/2) (-.f64 (/.f64 (pow.f64 (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal 1/6 binary64)) #s(literal 2 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)))))
Compiler

Compiled 657 to 567 computations (13.7% saved)

simplify532.0ms (5%)

Memory
1.8MiB live, 432.9MiB allocated; 110ms collecting garbage
Algorithm
egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(/.f64 (-.f64 (pow.f64 (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal 1/6 binary64)) #s(literal 2 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)))
cost-diff0
#s(approx (+ (* (* (/ 1 6) (pow (* -2 (log u1)) 1/2)) (cos (* (* 2 (PI)) u2))) 1/2) (/.f64 (-.f64 (pow.f64 (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal 1/6 binary64)) #s(literal 2 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))))
cost-diff1
(-.f64 (pow.f64 (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal 1/6 binary64)) #s(literal 2 binary64)) #s(literal 1/4 binary64))
cost-diff3
(pow.f64 (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal 1/6 binary64)) #s(literal 2 binary64))
cost-diff0
(*.f64 (log.f64 u1) #s(literal -2 binary64))
cost-diff0
(sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)))
cost-diff0
(/.f64 (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal 6 binary64))
cost-diff0
(fma.f64 (/.f64 (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal 6 binary64)) (cos.f64 (*.f64 u2 (*.f64 (PI.f64) #s(literal 2 binary64)))) #s(literal 1/2 binary64))
cost-diff0
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) #s(approx (pow (* -2 (log u1)) 1/2) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (neg.f64 (log.f64 u1))))))
cost-diff0
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) #s(approx (pow (* -2 (log u1)) 1/2) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (neg.f64 (log.f64 u1)))))) #s(approx (cos (* (* 2 (PI)) u2)) (fma.f64 (*.f64 (*.f64 u2 u2) #s(literal -2 binary64)) (*.f64 (PI.f64) (PI.f64)) #s(literal 1 binary64))))
cost-diff1
(+.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) #s(approx (pow (* -2 (log u1)) 1/2) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (neg.f64 (log.f64 u1)))))) #s(approx (cos (* (* 2 (PI)) u2)) (fma.f64 (*.f64 (*.f64 u2 u2) #s(literal -2 binary64)) (*.f64 (PI.f64) (PI.f64)) #s(literal 1 binary64)))) #s(literal 1/2 binary64))
cost-diff2
(/.f64 #s(literal 1 binary64) #s(literal 6 binary64))
cost-diff0
(*.f64 (log.f64 u1) #s(literal -2 binary64))
cost-diff0
(sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)))
cost-diff0
(fma.f64 (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal 1/6 binary64) #s(literal 1/2 binary64))
cost-diff0
#s(approx (+ (* (* (/ 1 6) (pow (* -2 (log u1)) 1/2)) (cos (* (* 2 (PI)) u2))) 1/2) (fma.f64 (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal 1/6 binary64) #s(literal 1/2 binary64)))
cost-diff0
#s(approx (pow (* -2 (log u1)) 1/2) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (neg.f64 (log.f64 u1)))))
cost-diff0
(*.f64 #s(literal 1/6 binary64) #s(approx (pow (* -2 (log u1)) 1/2) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (neg.f64 (log.f64 u1))))))
cost-diff0
(*.f64 (*.f64 #s(literal 1/6 binary64) #s(approx (pow (* -2 (log u1)) 1/2) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (neg.f64 (log.f64 u1)))))) (cos.f64 (*.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) u2)))
cost-diff1
(+.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) #s(approx (pow (* -2 (log u1)) 1/2) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (neg.f64 (log.f64 u1)))))) (cos.f64 (*.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) u2))) #s(literal 1/2 binary64))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
058494
095484
1174482
2403470
31376470
44595470
08287465
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(+.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) #s(approx (pow (* -2 (log u1)) 1/2) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (neg.f64 (log.f64 u1)))))) (cos.f64 (*.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) u2))) #s(literal 1/2 binary64))
(*.f64 (*.f64 #s(literal 1/6 binary64) #s(approx (pow (* -2 (log u1)) 1/2) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (neg.f64 (log.f64 u1)))))) (cos.f64 (*.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) u2)))
(*.f64 #s(literal 1/6 binary64) #s(approx (pow (* -2 (log u1)) 1/2) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (neg.f64 (log.f64 u1))))))
#s(literal 1/6 binary64)
#s(approx (pow (* -2 (log u1)) 1/2) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (neg.f64 (log.f64 u1)))))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (neg.f64 (log.f64 u1))))
(sqrt.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
(sqrt.f64 (neg.f64 (log.f64 u1)))
(neg.f64 (log.f64 u1))
(log.f64 u1)
u1
(cos.f64 (*.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) u2))
(*.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) u2)
(*.f64 #s(literal 2 binary64) (PI.f64))
(PI.f64)
u2
#s(literal 1/2 binary64)
#s(approx (+ (* (* (/ 1 6) (pow (* -2 (log u1)) 1/2)) (cos (* (* 2 (PI)) u2))) 1/2) (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 (*.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal 1/6 binary64) #s(literal 1/2 binary64))
(sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)))
(*.f64 (log.f64 u1) #s(literal -2 binary64))
(log.f64 u1)
u1
#s(literal -2 binary64)
#s(literal 1/6 binary64)
#s(literal 1/2 binary64)
(+.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) #s(approx (pow (* -2 (log u1)) 1/2) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (neg.f64 (log.f64 u1)))))) #s(approx (cos (* (* 2 (PI)) u2)) (fma.f64 (*.f64 (*.f64 u2 u2) #s(literal -2 binary64)) (*.f64 (PI.f64) (PI.f64)) #s(literal 1 binary64)))) #s(literal 1/2 binary64))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) #s(approx (pow (* -2 (log u1)) 1/2) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (neg.f64 (log.f64 u1)))))) #s(approx (cos (* (* 2 (PI)) u2)) (fma.f64 (*.f64 (*.f64 u2 u2) #s(literal -2 binary64)) (*.f64 (PI.f64) (PI.f64)) #s(literal 1 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) #s(approx (pow (* -2 (log u1)) 1/2) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (neg.f64 (log.f64 u1))))))
(/.f64 #s(literal 1 binary64) #s(literal 6 binary64))
#s(literal 1 binary64)
#s(literal 6 binary64)
#s(approx (pow (* -2 (log u1)) 1/2) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (neg.f64 (log.f64 u1)))))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (neg.f64 (log.f64 u1))))
(sqrt.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
(sqrt.f64 (neg.f64 (log.f64 u1)))
(neg.f64 (log.f64 u1))
(log.f64 u1)
u1
#s(approx (cos (* (* 2 (PI)) u2)) (fma.f64 (*.f64 (*.f64 u2 u2) #s(literal -2 binary64)) (*.f64 (PI.f64) (PI.f64)) #s(literal 1 binary64)))
(fma.f64 (*.f64 (*.f64 u2 u2) #s(literal -2 binary64)) (*.f64 (PI.f64) (PI.f64)) #s(literal 1 binary64))
(*.f64 (*.f64 u2 u2) #s(literal -2 binary64))
(*.f64 u2 u2)
u2
#s(literal -2 binary64)
(*.f64 (PI.f64) (PI.f64))
(PI.f64)
#s(literal 1/2 binary64)
(fma.f64 (/.f64 (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal 6 binary64)) (cos.f64 (*.f64 u2 (*.f64 (PI.f64) #s(literal 2 binary64)))) #s(literal 1/2 binary64))
(/.f64 (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal 6 binary64))
(sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)))
(*.f64 (log.f64 u1) #s(literal -2 binary64))
(log.f64 u1)
u1
#s(literal -2 binary64)
#s(literal 6 binary64)
(cos.f64 (*.f64 u2 (*.f64 (PI.f64) #s(literal 2 binary64))))
(*.f64 u2 (*.f64 (PI.f64) #s(literal 2 binary64)))
u2
(*.f64 (PI.f64) #s(literal 2 binary64))
(PI.f64)
#s(literal 2 binary64)
#s(literal 1/2 binary64)
#s(approx (+ (* (* (/ 1 6) (pow (* -2 (log u1)) 1/2)) (cos (* (* 2 (PI)) u2))) 1/2) (/.f64 (-.f64 (pow.f64 (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal 1/6 binary64)) #s(literal 2 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 (pow.f64 (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal 1/6 binary64)) #s(literal 2 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 (pow.f64 (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal 1/6 binary64)) #s(literal 2 binary64)) #s(literal 1/4 binary64))
(pow.f64 (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal 1/6 binary64)) #s(literal 2 binary64))
(*.f64 (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal 1/6 binary64))
(sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)))
(*.f64 (log.f64 u1) #s(literal -2 binary64))
(log.f64 u1)
u1
#s(literal -2 binary64)
#s(literal 1/6 binary64)
#s(literal 2 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))
#s(literal -1/2 binary64)
Outputs
(+.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) #s(approx (pow (* -2 (log u1)) 1/2) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (neg.f64 (log.f64 u1)))))) (cos.f64 (*.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) u2))) #s(literal 1/2 binary64))
(fma.f64 (*.f64 (cos.f64 (*.f64 (*.f64 (PI.f64) #s(literal -2 binary64)) u2)) #s(literal 1/6 binary64)) #s(approx (pow (* -2 (log u1)) 1/2) (*.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 1/2 binary64))
(*.f64 (*.f64 #s(literal 1/6 binary64) #s(approx (pow (* -2 (log u1)) 1/2) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (neg.f64 (log.f64 u1)))))) (cos.f64 (*.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) u2)))
(*.f64 (*.f64 (cos.f64 (*.f64 (*.f64 (PI.f64) #s(literal -2 binary64)) u2)) #s(literal 1/6 binary64)) #s(approx (pow (* -2 (log u1)) 1/2) (*.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (sqrt.f64 #s(literal 2 binary64)))))
(*.f64 #s(literal 1/6 binary64) #s(approx (pow (* -2 (log u1)) 1/2) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (neg.f64 (log.f64 u1))))))
(*.f64 #s(approx (pow (* -2 (log u1)) 1/2) (*.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 1/6 binary64))
#s(literal 1/6 binary64)
#s(approx (pow (* -2 (log u1)) 1/2) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (neg.f64 (log.f64 u1)))))
#s(approx (pow (* -2 (log u1)) 1/2) (*.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (neg.f64 (log.f64 u1))))
(*.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (sqrt.f64 #s(literal 2 binary64)))
(sqrt.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
(sqrt.f64 (neg.f64 (log.f64 u1)))
(neg.f64 (log.f64 u1))
(log.f64 u1)
u1
(cos.f64 (*.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) u2))
(cos.f64 (*.f64 (*.f64 (PI.f64) #s(literal -2 binary64)) u2))
(*.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) u2)
(*.f64 (*.f64 (PI.f64) #s(literal 2 binary64)) u2)
(*.f64 #s(literal 2 binary64) (PI.f64))
(*.f64 (PI.f64) #s(literal 2 binary64))
(PI.f64)
u2
#s(literal 1/2 binary64)
#s(approx (+ (* (* (/ 1 6) (pow (* -2 (log u1)) 1/2)) (cos (* (* 2 (PI)) u2))) 1/2) (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 (*.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal 1/6 binary64) #s(literal 1/2 binary64))
(sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)))
(*.f64 (log.f64 u1) #s(literal -2 binary64))
(log.f64 u1)
u1
#s(literal -2 binary64)
#s(literal 1/6 binary64)
#s(literal 1/2 binary64)
(+.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) #s(approx (pow (* -2 (log u1)) 1/2) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (neg.f64 (log.f64 u1)))))) #s(approx (cos (* (* 2 (PI)) u2)) (fma.f64 (*.f64 (*.f64 u2 u2) #s(literal -2 binary64)) (*.f64 (PI.f64) (PI.f64)) #s(literal 1 binary64)))) #s(literal 1/2 binary64))
(fma.f64 (*.f64 #s(approx (cos (* (* 2 (PI)) u2)) (fma.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (*.f64 u2 u2) #s(literal -2 binary64)) #s(literal 1 binary64))) #s(literal 1/6 binary64)) #s(approx (pow (* -2 (log u1)) 1/2) (*.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 1/2 binary64))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) #s(approx (pow (* -2 (log u1)) 1/2) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (neg.f64 (log.f64 u1)))))) #s(approx (cos (* (* 2 (PI)) u2)) (fma.f64 (*.f64 (*.f64 u2 u2) #s(literal -2 binary64)) (*.f64 (PI.f64) (PI.f64)) #s(literal 1 binary64))))
(*.f64 (*.f64 #s(approx (cos (* (* 2 (PI)) u2)) (fma.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (*.f64 u2 u2) #s(literal -2 binary64)) #s(literal 1 binary64))) #s(literal 1/6 binary64)) #s(approx (pow (* -2 (log u1)) 1/2) (*.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (sqrt.f64 #s(literal 2 binary64)))))
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) #s(approx (pow (* -2 (log u1)) 1/2) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (neg.f64 (log.f64 u1))))))
(*.f64 #s(approx (pow (* -2 (log u1)) 1/2) (*.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 1/6 binary64))
(/.f64 #s(literal 1 binary64) #s(literal 6 binary64))
#s(literal 1/6 binary64)
#s(literal 1 binary64)
#s(literal 6 binary64)
#s(approx (pow (* -2 (log u1)) 1/2) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (neg.f64 (log.f64 u1)))))
#s(approx (pow (* -2 (log u1)) 1/2) (*.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (neg.f64 (log.f64 u1))))
(*.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (sqrt.f64 #s(literal 2 binary64)))
(sqrt.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
(sqrt.f64 (neg.f64 (log.f64 u1)))
(neg.f64 (log.f64 u1))
(log.f64 u1)
u1
#s(approx (cos (* (* 2 (PI)) u2)) (fma.f64 (*.f64 (*.f64 u2 u2) #s(literal -2 binary64)) (*.f64 (PI.f64) (PI.f64)) #s(literal 1 binary64)))
#s(approx (cos (* (* 2 (PI)) u2)) (fma.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (*.f64 u2 u2) #s(literal -2 binary64)) #s(literal 1 binary64)))
(fma.f64 (*.f64 (*.f64 u2 u2) #s(literal -2 binary64)) (*.f64 (PI.f64) (PI.f64)) #s(literal 1 binary64))
(fma.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (*.f64 u2 u2) #s(literal -2 binary64)) #s(literal 1 binary64))
(*.f64 (*.f64 u2 u2) #s(literal -2 binary64))
(*.f64 u2 u2)
u2
#s(literal -2 binary64)
(*.f64 (PI.f64) (PI.f64))
(PI.f64)
#s(literal 1/2 binary64)
(fma.f64 (/.f64 (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal 6 binary64)) (cos.f64 (*.f64 u2 (*.f64 (PI.f64) #s(literal 2 binary64)))) #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 (*.f64 (PI.f64) #s(literal -2 binary64)) u2)) #s(literal 1/2 binary64))
(/.f64 (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal 6 binary64))
(*.f64 (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal 1/6 binary64))
(sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)))
(*.f64 (log.f64 u1) #s(literal -2 binary64))
(log.f64 u1)
u1
#s(literal -2 binary64)
#s(literal 6 binary64)
(cos.f64 (*.f64 u2 (*.f64 (PI.f64) #s(literal 2 binary64))))
(cos.f64 (*.f64 (*.f64 (PI.f64) #s(literal -2 binary64)) u2))
(*.f64 u2 (*.f64 (PI.f64) #s(literal 2 binary64)))
(*.f64 (*.f64 (PI.f64) #s(literal 2 binary64)) u2)
u2
(*.f64 (PI.f64) #s(literal 2 binary64))
(PI.f64)
#s(literal 2 binary64)
#s(literal 1/2 binary64)
#s(approx (+ (* (* (/ 1 6) (pow (* -2 (log u1)) 1/2)) (cos (* (* 2 (PI)) u2))) 1/2) (/.f64 (-.f64 (pow.f64 (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal 1/6 binary64)) #s(literal 2 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))))
#s(approx (+ (* (* (/ 1 6) (pow (* -2 (log u1)) 1/2)) (cos (* (* 2 (PI)) u2))) 1/2) (/.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 (log.f64 u1) #s(literal -2 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 (pow.f64 (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal 1/6 binary64)) #s(literal 2 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 (fma.f64 #s(literal 1/36 binary64) (*.f64 (log.f64 u1) #s(literal -2 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 (pow.f64 (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal 1/6 binary64)) #s(literal 2 binary64)) #s(literal 1/4 binary64))
(fma.f64 #s(literal 1/36 binary64) (*.f64 (log.f64 u1) #s(literal -2 binary64)) #s(literal -1/4 binary64))
(pow.f64 (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal 1/6 binary64)) #s(literal 2 binary64))
(*.f64 #s(literal 1/36 binary64) (*.f64 (log.f64 u1) #s(literal -2 binary64)))
(*.f64 (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal 1/6 binary64))
(sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)))
(*.f64 (log.f64 u1) #s(literal -2 binary64))
(log.f64 u1)
u1
#s(literal -2 binary64)
#s(literal 1/6 binary64)
#s(literal 2 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))
#s(literal -1/2 binary64)

localize145.0ms (1.4%)

Memory
5.0MiB live, 233.7MiB allocated; 27ms collecting garbage
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0.3991012695368841
(/.f64 (-.f64 (pow.f64 (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal 1/6 binary64)) #s(literal 2 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)))
accuracy0.45931625976844204
(pow.f64 (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal 1/6 binary64)) #s(literal 2 binary64))
accuracy0.4869600706944219
(fma.f64 (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal 1/6 binary64) #s(literal -1/2 binary64))
accuracy1.2029802321995748
#s(approx (+ (* (* (/ 1 6) (pow (* -2 (log u1)) 1/2)) (cos (* (* 2 (PI)) u2))) 1/2) (/.f64 (-.f64 (pow.f64 (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal 1/6 binary64)) #s(literal 2 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))))
accuracy0.046875
(fma.f64 (/.f64 (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal 6 binary64)) (cos.f64 (*.f64 u2 (*.f64 (PI.f64) #s(literal 2 binary64)))) #s(literal 1/2 binary64))
accuracy0.12890625
(sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)))
accuracy0.25
(*.f64 u2 (*.f64 (PI.f64) #s(literal 2 binary64)))
accuracy0.28125
(/.f64 (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal 6 binary64))
accuracy0.109375
(sqrt.f64 (neg.f64 (log.f64 u1)))
accuracy0.375
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) #s(approx (pow (* -2 (log u1)) 1/2) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (neg.f64 (log.f64 u1))))))
accuracy0.4404487793053261
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (neg.f64 (log.f64 u1))))
accuracy0.765014228301566
#s(approx (cos (* (* 2 (PI)) u2)) (fma.f64 (*.f64 (*.f64 u2 u2) #s(literal -2 binary64)) (*.f64 (PI.f64) (PI.f64)) #s(literal 1 binary64)))
accuracy0.0
(log.f64 u1)
accuracy0.12890625
(sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)))
accuracy0.37109375
(fma.f64 (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal 1/6 binary64) #s(literal 1/2 binary64))
accuracy1.2029802321995748
#s(approx (+ (* (* (/ 1 6) (pow (* -2 (log u1)) 1/2)) (cos (* (* 2 (PI)) u2))) 1/2) (fma.f64 (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal 1/6 binary64) #s(literal 1/2 binary64)))
accuracy0.109375
(sqrt.f64 (neg.f64 (log.f64 u1)))
accuracy0.25
(*.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) u2)
accuracy0.375
(*.f64 #s(literal 1/6 binary64) #s(approx (pow (* -2 (log u1)) 1/2) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (neg.f64 (log.f64 u1))))))
accuracy0.4404487793053261
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (neg.f64 (log.f64 u1))))
Samples
105.0ms256×0valid
Compiler

Compiled 386 to 49 computations (87.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 78.0ms
ival-mult: 41.0ms (52.5% of total)
ival-add: 7.0ms (9% of total)
ival-sqrt: 6.0ms (7.7% of total)
ival-div: 5.0ms (6.4% of total)
const: 4.0ms (5.1% of total)
ival-cosu: 3.0ms (3.8% of total)
ival-log: 3.0ms (3.8% of total)
ival-cos: 2.0ms (2.6% of total)
ival-pow2: 2.0ms (2.6% of total)
ival-pi: 1.0ms (1.3% of total)
ival-sub: 1.0ms (1.3% of total)
exact: 1.0ms (1.3% of total)
ival-neg: 1.0ms (1.3% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series79.0ms (0.8%)

Memory
37.3MiB live, 83.0MiB allocated; 10ms collecting garbage
Counts
25 → 52
Calls
Call 1
Inputs
(+.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) #s(approx (pow (* -2 (log u1)) 1/2) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (neg.f64 (log.f64 u1)))))) (cos.f64 (*.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) u2))) #s(literal 1/2 binary64))
(*.f64 (*.f64 #s(literal 1/6 binary64) #s(approx (pow (* -2 (log u1)) 1/2) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (neg.f64 (log.f64 u1)))))) (cos.f64 (*.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) u2)))
(*.f64 #s(literal 1/6 binary64) #s(approx (pow (* -2 (log u1)) 1/2) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (neg.f64 (log.f64 u1))))))
#s(approx (pow (* -2 (log u1)) 1/2) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (neg.f64 (log.f64 u1)))))
#s(approx (+ (* (* (/ 1 6) (pow (* -2 (log u1)) 1/2)) (cos (* (* 2 (PI)) u2))) 1/2) (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 (*.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal 1/6 binary64) #s(literal 1/2 binary64))
(sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)))
(*.f64 (log.f64 u1) #s(literal -2 binary64))
(/.f64 #s(literal 1 binary64) #s(literal 6 binary64))
(+.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) #s(approx (pow (* -2 (log u1)) 1/2) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (neg.f64 (log.f64 u1)))))) #s(approx (cos (* (* 2 (PI)) u2)) (fma.f64 (*.f64 (*.f64 u2 u2) #s(literal -2 binary64)) (*.f64 (PI.f64) (PI.f64)) #s(literal 1 binary64)))) #s(literal 1/2 binary64))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) #s(approx (pow (* -2 (log u1)) 1/2) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (neg.f64 (log.f64 u1)))))) #s(approx (cos (* (* 2 (PI)) u2)) (fma.f64 (*.f64 (*.f64 u2 u2) #s(literal -2 binary64)) (*.f64 (PI.f64) (PI.f64)) #s(literal 1 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) #s(approx (pow (* -2 (log u1)) 1/2) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (neg.f64 (log.f64 u1))))))
(fma.f64 (/.f64 (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal 6 binary64)) (cos.f64 (*.f64 u2 (*.f64 (PI.f64) #s(literal 2 binary64)))) #s(literal 1/2 binary64))
(/.f64 (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal 6 binary64))
(pow.f64 (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal 1/6 binary64)) #s(literal 2 binary64))
(-.f64 (pow.f64 (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal 1/6 binary64)) #s(literal 2 binary64)) #s(literal 1/4 binary64))
#s(approx (+ (* (* (/ 1 6) (pow (* -2 (log u1)) 1/2)) (cos (* (* 2 (PI)) u2))) 1/2) (/.f64 (-.f64 (pow.f64 (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal 1/6 binary64)) #s(literal 2 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 (pow.f64 (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal 1/6 binary64)) #s(literal 2 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 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (neg.f64 (log.f64 u1))))
(*.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) u2)
(sqrt.f64 (neg.f64 (log.f64 u1)))
(log.f64 u1)
#s(approx (cos (* (* 2 (PI)) u2)) (fma.f64 (*.f64 (*.f64 u2 u2) #s(literal -2 binary64)) (*.f64 (PI.f64) (PI.f64)) #s(literal 1 binary64)))
(*.f64 u2 (*.f64 (PI.f64) #s(literal 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
(+ 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 (* (sqrt (log u1)) (sqrt -2)))
(* (sqrt (log u1)) (sqrt -2))
(+ 1/2 (* 1/6 (* (sqrt (log u1)) (sqrt -2))))
(* -2 (log u1))
(* 1/36 (* (log u1) (pow (sqrt -2) 2)))
(- (* 1/36 (* (log u1) (pow (sqrt -2) 2))) 1/4)
(/ (- (* 1/36 (* (log u1) (pow (sqrt -2) 2))) 1/4) (- (* 1/6 (* (sqrt (log u1)) (sqrt -2))) 1/2))
(* (sqrt (log u1)) (* (sqrt -1) (sqrt 2)))
(* (sqrt (log u1)) (sqrt -1))
(log u1)
(- (* 1/6 (* (sqrt (log u1)) (sqrt -2))) 1/2)
(+ 1/2 (* 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 (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1))))
(* (sqrt (log (/ 1 u1))) (sqrt 2))
(+ 1/2 (* 1/6 (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1)))))
(* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1)))
(* 2 (log (/ 1 u1)))
(* -1/36 (* (log (/ 1 u1)) (pow (sqrt -2) 2)))
(- (* -1/36 (* (log (/ 1 u1)) (pow (sqrt -2) 2))) 1/4)
(/ (- (* -1/36 (* (log (/ 1 u1)) (pow (sqrt -2) 2))) 1/4) (- (* 1/6 (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1)))) 1/2))
(* (sqrt (log (/ 1 u1))) (* (pow (sqrt -1) 2) (sqrt 2)))
(* (sqrt (log (/ 1 u1))) (pow (sqrt -1) 2))
(* -1 (log (/ 1 u1)))
(- (* 1/6 (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1)))) 1/2)
(+ 1/2 (* 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 -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))))
(* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))
(+ 1/2 (* 1/6 (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))))
(* -2 (+ (log -1) (* -1 (log (/ -1 u1)))))
(* 1/36 (* (pow (sqrt -2) 2) (+ (log -1) (* -1 (log (/ -1 u1))))))
(- (* 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) (- (* 1/6 (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))) 1/2))
(* (* (sqrt -1) (sqrt 2)) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))
(* (sqrt -1) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))
(+ (log -1) (* -1 (log (/ -1 u1))))
(- (* 1/6 (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))) 1/2)
(+ 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))))))))))
(+ (* -1/3 (* (* (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)))))))))
(* 2 (* u2 (PI)))
1
(+ 1 (* -2 (* (pow u2 2) (pow (PI) 2))))
(+ 1 (* (pow u2 2) (+ (* -2 (pow (PI) 2)) (* 2/3 (* (pow u2 2) (pow (PI) 4))))))
(+ 1 (* (pow u2 2) (+ (* -2 (pow (PI) 2)) (* (pow u2 2) (+ (* -4/45 (* (pow u2 2) (pow (PI) 6))) (* 2/3 (pow (PI) 4)))))))
(cos (* 2 (* u2 (PI))))
Calls

6 calls:

TimeVariablePointExpression
40.0ms
u1
@-inf
((+ (* (* 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)) (pow (* -2 (log u1)) 1/2) (+ (* (* (/ 1 6) (pow (* -2 (log u1)) 1/2)) (cos (* (* 2 (PI)) u2))) 1/2) (+ (* (sqrt (* (log u1) -2)) 1/6) 1/2) (sqrt (* (log u1) -2)) (* (log u1) -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)) (+ (* (/ (sqrt (* (log u1) -2)) 6) (cos (* u2 (* (PI) 2)))) 1/2) (/ (sqrt (* (log u1) -2)) 6) (pow (* (sqrt (* (log u1) -2)) 1/6) 2) (- (pow (* (sqrt (* (log u1) -2)) 1/6) 2) 1/4) (+ (* (* (/ 1 6) (pow (* -2 (log u1)) 1/2)) (cos (* (* 2 (PI)) u2))) 1/2) (/ (- (pow (* (sqrt (* (log u1) -2)) 1/6) 2) 1/4) (+ (* (sqrt (* (log u1) -2)) 1/6) -1/2)) (* (sqrt 2) (sqrt (neg (log u1)))) (* (* 2 (PI)) u2) (sqrt (neg (log u1))) (log u1) (cos (* (* 2 (PI)) u2)) (* u2 (* (PI) 2)) (+ (* (sqrt (* (log u1) -2)) 1/6) -1/2))
11.0ms
u1
@0
((+ (* (* 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)) (pow (* -2 (log u1)) 1/2) (+ (* (* (/ 1 6) (pow (* -2 (log u1)) 1/2)) (cos (* (* 2 (PI)) u2))) 1/2) (+ (* (sqrt (* (log u1) -2)) 1/6) 1/2) (sqrt (* (log u1) -2)) (* (log u1) -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)) (+ (* (/ (sqrt (* (log u1) -2)) 6) (cos (* u2 (* (PI) 2)))) 1/2) (/ (sqrt (* (log u1) -2)) 6) (pow (* (sqrt (* (log u1) -2)) 1/6) 2) (- (pow (* (sqrt (* (log u1) -2)) 1/6) 2) 1/4) (+ (* (* (/ 1 6) (pow (* -2 (log u1)) 1/2)) (cos (* (* 2 (PI)) u2))) 1/2) (/ (- (pow (* (sqrt (* (log u1) -2)) 1/6) 2) 1/4) (+ (* (sqrt (* (log u1) -2)) 1/6) -1/2)) (* (sqrt 2) (sqrt (neg (log u1)))) (* (* 2 (PI)) u2) (sqrt (neg (log u1))) (log u1) (cos (* (* 2 (PI)) u2)) (* u2 (* (PI) 2)) (+ (* (sqrt (* (log u1) -2)) 1/6) -1/2))
11.0ms
u1
@inf
((+ (* (* 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)) (pow (* -2 (log u1)) 1/2) (+ (* (* (/ 1 6) (pow (* -2 (log u1)) 1/2)) (cos (* (* 2 (PI)) u2))) 1/2) (+ (* (sqrt (* (log u1) -2)) 1/6) 1/2) (sqrt (* (log u1) -2)) (* (log u1) -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)) (+ (* (/ (sqrt (* (log u1) -2)) 6) (cos (* u2 (* (PI) 2)))) 1/2) (/ (sqrt (* (log u1) -2)) 6) (pow (* (sqrt (* (log u1) -2)) 1/6) 2) (- (pow (* (sqrt (* (log u1) -2)) 1/6) 2) 1/4) (+ (* (* (/ 1 6) (pow (* -2 (log u1)) 1/2)) (cos (* (* 2 (PI)) u2))) 1/2) (/ (- (pow (* (sqrt (* (log u1) -2)) 1/6) 2) 1/4) (+ (* (sqrt (* (log u1) -2)) 1/6) -1/2)) (* (sqrt 2) (sqrt (neg (log u1)))) (* (* 2 (PI)) u2) (sqrt (neg (log u1))) (log u1) (cos (* (* 2 (PI)) u2)) (* u2 (* (PI) 2)) (+ (* (sqrt (* (log u1) -2)) 1/6) -1/2))
7.0ms
u2
@inf
((+ (* (* 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)) (pow (* -2 (log u1)) 1/2) (+ (* (* (/ 1 6) (pow (* -2 (log u1)) 1/2)) (cos (* (* 2 (PI)) u2))) 1/2) (+ (* (sqrt (* (log u1) -2)) 1/6) 1/2) (sqrt (* (log u1) -2)) (* (log u1) -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)) (+ (* (/ (sqrt (* (log u1) -2)) 6) (cos (* u2 (* (PI) 2)))) 1/2) (/ (sqrt (* (log u1) -2)) 6) (pow (* (sqrt (* (log u1) -2)) 1/6) 2) (- (pow (* (sqrt (* (log u1) -2)) 1/6) 2) 1/4) (+ (* (* (/ 1 6) (pow (* -2 (log u1)) 1/2)) (cos (* (* 2 (PI)) u2))) 1/2) (/ (- (pow (* (sqrt (* (log u1) -2)) 1/6) 2) 1/4) (+ (* (sqrt (* (log u1) -2)) 1/6) -1/2)) (* (sqrt 2) (sqrt (neg (log u1)))) (* (* 2 (PI)) u2) (sqrt (neg (log u1))) (log u1) (cos (* (* 2 (PI)) u2)) (* u2 (* (PI) 2)) (+ (* (sqrt (* (log u1) -2)) 1/6) -1/2))
7.0ms
u2
@-inf
((+ (* (* 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)) (pow (* -2 (log u1)) 1/2) (+ (* (* (/ 1 6) (pow (* -2 (log u1)) 1/2)) (cos (* (* 2 (PI)) u2))) 1/2) (+ (* (sqrt (* (log u1) -2)) 1/6) 1/2) (sqrt (* (log u1) -2)) (* (log u1) -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)) (+ (* (/ (sqrt (* (log u1) -2)) 6) (cos (* u2 (* (PI) 2)))) 1/2) (/ (sqrt (* (log u1) -2)) 6) (pow (* (sqrt (* (log u1) -2)) 1/6) 2) (- (pow (* (sqrt (* (log u1) -2)) 1/6) 2) 1/4) (+ (* (* (/ 1 6) (pow (* -2 (log u1)) 1/2)) (cos (* (* 2 (PI)) u2))) 1/2) (/ (- (pow (* (sqrt (* (log u1) -2)) 1/6) 2) 1/4) (+ (* (sqrt (* (log u1) -2)) 1/6) -1/2)) (* (sqrt 2) (sqrt (neg (log u1)))) (* (* 2 (PI)) u2) (sqrt (neg (log u1))) (log u1) (cos (* (* 2 (PI)) u2)) (* u2 (* (PI) 2)) (+ (* (sqrt (* (log u1) -2)) 1/6) -1/2))

simplify635.0ms (6%)

Memory
-19.6MiB live, 195.6MiB allocated; 38ms collecting garbage
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0136846
1402765
21541734
34400714
08069687
Stop Event
iter limit
node limit
Counts
52 → 52
Calls
Call 1
Inputs
(+ 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 (* (sqrt (log u1)) (sqrt -2)))
(* (sqrt (log u1)) (sqrt -2))
(+ 1/2 (* 1/6 (* (sqrt (log u1)) (sqrt -2))))
(* -2 (log u1))
(* 1/36 (* (log u1) (pow (sqrt -2) 2)))
(- (* 1/36 (* (log u1) (pow (sqrt -2) 2))) 1/4)
(/ (- (* 1/36 (* (log u1) (pow (sqrt -2) 2))) 1/4) (- (* 1/6 (* (sqrt (log u1)) (sqrt -2))) 1/2))
(* (sqrt (log u1)) (* (sqrt -1) (sqrt 2)))
(* (sqrt (log u1)) (sqrt -1))
(log u1)
(- (* 1/6 (* (sqrt (log u1)) (sqrt -2))) 1/2)
(+ 1/2 (* 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 (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1))))
(* (sqrt (log (/ 1 u1))) (sqrt 2))
(+ 1/2 (* 1/6 (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1)))))
(* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1)))
(* 2 (log (/ 1 u1)))
(* -1/36 (* (log (/ 1 u1)) (pow (sqrt -2) 2)))
(- (* -1/36 (* (log (/ 1 u1)) (pow (sqrt -2) 2))) 1/4)
(/ (- (* -1/36 (* (log (/ 1 u1)) (pow (sqrt -2) 2))) 1/4) (- (* 1/6 (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1)))) 1/2))
(* (sqrt (log (/ 1 u1))) (* (pow (sqrt -1) 2) (sqrt 2)))
(* (sqrt (log (/ 1 u1))) (pow (sqrt -1) 2))
(* -1 (log (/ 1 u1)))
(- (* 1/6 (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1)))) 1/2)
(+ 1/2 (* 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 -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))))
(* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))
(+ 1/2 (* 1/6 (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))))
(* -2 (+ (log -1) (* -1 (log (/ -1 u1)))))
(* 1/36 (* (pow (sqrt -2) 2) (+ (log -1) (* -1 (log (/ -1 u1))))))
(- (* 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) (- (* 1/6 (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))) 1/2))
(* (* (sqrt -1) (sqrt 2)) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))
(* (sqrt -1) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))
(+ (log -1) (* -1 (log (/ -1 u1))))
(- (* 1/6 (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))) 1/2)
(+ 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))))))))))
(+ (* -1/3 (* (* (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)))))))))
(* 2 (* u2 (PI)))
1
(+ 1 (* -2 (* (pow u2 2) (pow (PI) 2))))
(+ 1 (* (pow u2 2) (+ (* -2 (pow (PI) 2)) (* 2/3 (* (pow u2 2) (pow (PI) 4))))))
(+ 1 (* (pow u2 2) (+ (* -2 (pow (PI) 2)) (* (pow u2 2) (+ (* -4/45 (* (pow u2 2) (pow (PI) 6))) (* 2/3 (pow (PI) 4)))))))
(cos (* 2 (* u2 (PI))))
Outputs
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))))
(fma.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -2 binary64)) #s(literal 1/6 binary64)) (cos.f64 (*.f64 (*.f64 (PI.f64) u2) #s(literal -2 binary64)))) (sqrt.f64 (log.f64 u1)) #s(literal 1/2 binary64))
(* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1))))
(*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -2 binary64)) #s(literal 1/6 binary64)) (cos.f64 (*.f64 (*.f64 (PI.f64) u2) #s(literal -2 binary64)))) (sqrt.f64 (log.f64 u1)))
(* 1/6 (* (sqrt (log u1)) (sqrt -2)))
(*.f64 (*.f64 (sqrt.f64 #s(literal -2 binary64)) #s(literal 1/6 binary64)) (sqrt.f64 (log.f64 u1)))
(* (sqrt (log u1)) (sqrt -2))
(*.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 #s(literal -2 binary64)))
(+ 1/2 (* 1/6 (* (sqrt (log u1)) (sqrt -2))))
(fma.f64 (*.f64 (sqrt.f64 #s(literal -2 binary64)) #s(literal 1/6 binary64)) (sqrt.f64 (log.f64 u1)) #s(literal 1/2 binary64))
(* -2 (log u1))
(*.f64 (log.f64 u1) #s(literal -2 binary64))
(* 1/36 (* (log u1) (pow (sqrt -2) 2)))
(*.f64 #s(literal -1/18 binary64) (log.f64 u1))
(- (* 1/36 (* (log u1) (pow (sqrt -2) 2))) 1/4)
(-.f64 (*.f64 #s(literal -1/18 binary64) (log.f64 u1)) #s(literal 1/4 binary64))
(/ (- (* 1/36 (* (log u1) (pow (sqrt -2) 2))) 1/4) (- (* 1/6 (* (sqrt (log u1)) (sqrt -2))) 1/2))
(/.f64 (-.f64 (*.f64 #s(literal -1/18 binary64) (log.f64 u1)) #s(literal 1/4 binary64)) (-.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -2 binary64)) #s(literal 1/6 binary64)) (sqrt.f64 (log.f64 u1))) #s(literal 1/2 binary64)))
(* (sqrt (log u1)) (* (sqrt -1) (sqrt 2)))
(*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (log.f64 u1))) (sqrt.f64 #s(literal -1 binary64)))
(* (sqrt (log u1)) (sqrt -1))
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (log.f64 u1)))
(log u1)
(log.f64 u1)
(- (* 1/6 (* (sqrt (log u1)) (sqrt -2))) 1/2)
(-.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -2 binary64)) #s(literal 1/6 binary64)) (sqrt.f64 (log.f64 u1))) #s(literal 1/2 binary64))
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -2) (sqrt -1))) (sqrt (log (/ 1 u1))))))
(fma.f64 (*.f64 (cos.f64 (*.f64 (*.f64 (PI.f64) u2) #s(literal -2 binary64))) #s(literal 1/6 binary64)) (*.f64 (*.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal -2 binary64))) #s(literal 1/2 binary64))
(* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -2) (sqrt -1))) (sqrt (log (/ 1 u1)))))
(*.f64 (*.f64 (cos.f64 (*.f64 (*.f64 (PI.f64) u2) #s(literal -2 binary64))) #s(literal 1/6 binary64)) (*.f64 (*.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal -2 binary64))))
(* 1/6 (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1))))
(*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 1/6 binary64)) (*.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (sqrt.f64 #s(literal -2 binary64))))
(* (sqrt (log (/ 1 u1))) (sqrt 2))
(*.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (sqrt.f64 #s(literal 2 binary64)))
(+ 1/2 (* 1/6 (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1)))))
(fma.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 1/6 binary64)) (*.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (sqrt.f64 #s(literal -2 binary64))) #s(literal 1/2 binary64))
(* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1)))
(*.f64 (*.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal -2 binary64)))
(* 2 (log (/ 1 u1)))
(*.f64 (log.f64 u1) #s(literal -2 binary64))
(* -1/36 (* (log (/ 1 u1)) (pow (sqrt -2) 2)))
(*.f64 #s(literal -1/18 binary64) (log.f64 u1))
(- (* -1/36 (* (log (/ 1 u1)) (pow (sqrt -2) 2))) 1/4)
(-.f64 (*.f64 #s(literal -1/18 binary64) (log.f64 u1)) #s(literal 1/4 binary64))
(/ (- (* -1/36 (* (log (/ 1 u1)) (pow (sqrt -2) 2))) 1/4) (- (* 1/6 (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1)))) 1/2))
(/.f64 (-.f64 (*.f64 #s(literal -1/18 binary64) (log.f64 u1)) #s(literal 1/4 binary64)) (-.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 1/6 binary64)) (*.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (sqrt.f64 #s(literal -2 binary64)))) #s(literal 1/2 binary64)))
(* (sqrt (log (/ 1 u1))) (* (pow (sqrt -1) 2) (sqrt 2)))
(*.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (neg.f64 (log.f64 u1))))
(* (sqrt (log (/ 1 u1))) (pow (sqrt -1) 2))
(neg.f64 (sqrt.f64 (neg.f64 (log.f64 u1))))
(* -1 (log (/ 1 u1)))
(log.f64 u1)
(- (* 1/6 (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1)))) 1/2)
(-.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 1/6 binary64)) (*.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (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 (*.f64 (*.f64 (sqrt.f64 #s(literal -2 binary64)) #s(literal 1/6 binary64)) (cos.f64 (*.f64 (*.f64 (PI.f64) u2) #s(literal -2 binary64)))) (sqrt.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) u1)))) #s(literal 1/2 binary64))
(* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))))
(*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -2 binary64)) #s(literal 1/6 binary64)) (cos.f64 (*.f64 (*.f64 (PI.f64) u2) #s(literal -2 binary64)))) (sqrt.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) u1)))))
(* 1/6 (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))))
(*.f64 (*.f64 (sqrt.f64 #s(literal -2 binary64)) #s(literal 1/6 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 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) u1)))) (sqrt.f64 #s(literal -2 binary64)))
(+ 1/2 (* 1/6 (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))))
(fma.f64 (*.f64 (sqrt.f64 #s(literal -2 binary64)) #s(literal 1/6 binary64)) (sqrt.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) u1)))) #s(literal 1/2 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))
(* 1/36 (* (pow (sqrt -2) 2) (+ (log -1) (* -1 (log (/ -1 u1))))))
(*.f64 #s(literal -1/18 binary64) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) u1))))
(- (* 1/36 (* (pow (sqrt -2) 2) (+ (log -1) (* -1 (log (/ -1 u1)))))) 1/4)
(-.f64 (*.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))
(/ (- (* 1/36 (* (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))
(/.f64 (-.f64 (*.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)) (-.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -2 binary64)) #s(literal 1/6 binary64)) (sqrt.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) u1))))) #s(literal 1/2 binary64)))
(* (* (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 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64))))
(* (sqrt -1) (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 -1 binary64)))
(+ (log -1) (* -1 (log (/ -1 u1))))
(-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) u1)))
(- (* 1/6 (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))) 1/2)
(-.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -2 binary64)) #s(literal 1/6 binary64)) (sqrt.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) u1))))) #s(literal 1/2 binary64))
(+ 1/2 (+ (* -1/3 (* (* (pow u2 2) (* (pow (PI) 2) (sqrt -2))) (sqrt (log u1)))) (* 1/6 (* (sqrt (log u1)) (sqrt -2)))))
(fma.f64 (sqrt.f64 (log.f64 u1)) (*.f64 (sqrt.f64 #s(literal -2 binary64)) (fma.f64 (*.f64 (*.f64 (*.f64 u2 u2) (PI.f64)) (PI.f64)) #s(literal -1/3 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)))) (* 1/9 (* (* (pow u2 2) (* (pow (PI) 4) (sqrt -2))) (sqrt (log u1))))))))
(fma.f64 (sqrt.f64 (log.f64 u1)) (fma.f64 (*.f64 u2 u2) (*.f64 (sqrt.f64 #s(literal -2 binary64)) (fma.f64 (*.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 4 binary64)) u2) u2) #s(literal 1/9 binary64) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal -1/3 binary64)))) (*.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))) (* (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)) (*.f64 (sqrt.f64 #s(literal -2 binary64)) (fma.f64 (*.f64 (*.f64 (*.f64 u2 u2) (PI.f64)) (PI.f64)) #s(literal -1/3 binary64) #s(literal 1/6 binary64))) (fma.f64 (pow.f64 u2 #s(literal 4 binary64)) (*.f64 (*.f64 (sqrt.f64 #s(literal -2 binary64)) (fma.f64 (*.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 6 binary64)) u2) u2) #s(literal -2/135 binary64) (*.f64 (pow.f64 (PI.f64) #s(literal 4 binary64)) #s(literal 1/9 binary64)))) (sqrt.f64 (log.f64 u1))) #s(literal 1/2 binary64)))
(+ (* -1/3 (* (* (pow u2 2) (* (pow (PI) 2) (sqrt -2))) (sqrt (log u1)))) (* 1/6 (* (sqrt (log u1)) (sqrt -2))))
(*.f64 (sqrt.f64 (log.f64 u1)) (*.f64 (sqrt.f64 #s(literal -2 binary64)) (fma.f64 (*.f64 (*.f64 (*.f64 u2 u2) (PI.f64)) (PI.f64)) #s(literal -1/3 binary64) #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)) (fma.f64 (*.f64 u2 u2) (*.f64 (sqrt.f64 #s(literal -2 binary64)) (fma.f64 (*.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 4 binary64)) u2) u2) #s(literal 1/9 binary64) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal -1/3 binary64)))) (*.f64 (sqrt.f64 #s(literal -2 binary64)) #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)))))))))
(fma.f64 (sqrt.f64 (log.f64 u1)) (*.f64 (sqrt.f64 #s(literal -2 binary64)) (fma.f64 (*.f64 (*.f64 (*.f64 u2 u2) (PI.f64)) (PI.f64)) #s(literal -1/3 binary64) #s(literal 1/6 binary64))) (*.f64 (pow.f64 u2 #s(literal 4 binary64)) (*.f64 (*.f64 (sqrt.f64 #s(literal -2 binary64)) (fma.f64 (*.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 6 binary64)) u2) u2) #s(literal -2/135 binary64) (*.f64 (pow.f64 (PI.f64) #s(literal 4 binary64)) #s(literal 1/9 binary64)))) (sqrt.f64 (log.f64 u1)))))
(* 2 (* u2 (PI)))
(*.f64 (*.f64 (PI.f64) u2) #s(literal 2 binary64))
1
#s(literal 1 binary64)
(+ 1 (* -2 (* (pow u2 2) (pow (PI) 2))))
(fma.f64 (*.f64 (*.f64 u2 u2) #s(literal -2 binary64)) (*.f64 (PI.f64) (PI.f64)) #s(literal 1 binary64))
(+ 1 (* (pow u2 2) (+ (* -2 (pow (PI) 2)) (* 2/3 (* (pow u2 2) (pow (PI) 4))))))
(fma.f64 (fma.f64 (*.f64 (PI.f64) #s(literal -2 binary64)) (PI.f64) (*.f64 (*.f64 (*.f64 #s(literal 2/3 binary64) (pow.f64 (PI.f64) #s(literal 4 binary64))) u2) u2)) (*.f64 u2 u2) #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 (pow.f64 u2 #s(literal 4 binary64)) (fma.f64 (*.f64 #s(literal -4/45 binary64) (pow.f64 (PI.f64) #s(literal 6 binary64))) (*.f64 u2 u2) (*.f64 #s(literal 2/3 binary64) (pow.f64 (PI.f64) #s(literal 4 binary64)))) (fma.f64 (*.f64 (*.f64 u2 u2) #s(literal -2 binary64)) (*.f64 (PI.f64) (PI.f64)) #s(literal 1 binary64)))
(cos (* 2 (* u2 (PI))))
(cos.f64 (*.f64 (*.f64 (PI.f64) u2) #s(literal -2 binary64)))

rewrite125.0ms (1.2%)

Memory
-19.1MiB live, 163.1MiB allocated; 37ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
058356
095339
1315313
02018310
Stop Event
iter limit
iter limit
node limit
iter limit
Counts
25 → 318
Calls
Call 1
Inputs
(+.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) #s(approx (pow (* -2 (log u1)) 1/2) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (neg.f64 (log.f64 u1)))))) (cos.f64 (*.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) u2))) #s(literal 1/2 binary64))
(*.f64 (*.f64 #s(literal 1/6 binary64) #s(approx (pow (* -2 (log u1)) 1/2) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (neg.f64 (log.f64 u1)))))) (cos.f64 (*.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) u2)))
(*.f64 #s(literal 1/6 binary64) #s(approx (pow (* -2 (log u1)) 1/2) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (neg.f64 (log.f64 u1))))))
#s(approx (pow (* -2 (log u1)) 1/2) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (neg.f64 (log.f64 u1)))))
#s(approx (+ (* (* (/ 1 6) (pow (* -2 (log u1)) 1/2)) (cos (* (* 2 (PI)) u2))) 1/2) (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 (*.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal 1/6 binary64) #s(literal 1/2 binary64))
(sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)))
(*.f64 (log.f64 u1) #s(literal -2 binary64))
(/.f64 #s(literal 1 binary64) #s(literal 6 binary64))
(+.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) #s(approx (pow (* -2 (log u1)) 1/2) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (neg.f64 (log.f64 u1)))))) #s(approx (cos (* (* 2 (PI)) u2)) (fma.f64 (*.f64 (*.f64 u2 u2) #s(literal -2 binary64)) (*.f64 (PI.f64) (PI.f64)) #s(literal 1 binary64)))) #s(literal 1/2 binary64))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) #s(approx (pow (* -2 (log u1)) 1/2) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (neg.f64 (log.f64 u1)))))) #s(approx (cos (* (* 2 (PI)) u2)) (fma.f64 (*.f64 (*.f64 u2 u2) #s(literal -2 binary64)) (*.f64 (PI.f64) (PI.f64)) #s(literal 1 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) #s(approx (pow (* -2 (log u1)) 1/2) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (neg.f64 (log.f64 u1))))))
(fma.f64 (/.f64 (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal 6 binary64)) (cos.f64 (*.f64 u2 (*.f64 (PI.f64) #s(literal 2 binary64)))) #s(literal 1/2 binary64))
(/.f64 (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal 6 binary64))
(pow.f64 (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal 1/6 binary64)) #s(literal 2 binary64))
(-.f64 (pow.f64 (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal 1/6 binary64)) #s(literal 2 binary64)) #s(literal 1/4 binary64))
#s(approx (+ (* (* (/ 1 6) (pow (* -2 (log u1)) 1/2)) (cos (* (* 2 (PI)) u2))) 1/2) (/.f64 (-.f64 (pow.f64 (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal 1/6 binary64)) #s(literal 2 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 (pow.f64 (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal 1/6 binary64)) #s(literal 2 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 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (neg.f64 (log.f64 u1))))
(*.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) u2)
(sqrt.f64 (neg.f64 (log.f64 u1)))
(log.f64 u1)
#s(approx (cos (* (* 2 (PI)) u2)) (fma.f64 (*.f64 (*.f64 u2 u2) #s(literal -2 binary64)) (*.f64 (PI.f64) (PI.f64)) #s(literal 1 binary64)))
(*.f64 u2 (*.f64 (PI.f64) #s(literal 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 #s(literal 1/4 binary64) (pow.f64 (*.f64 (*.f64 (cos.f64 (*.f64 u2 (*.f64 (PI.f64) #s(literal 2 binary64)))) #s(literal 1/6 binary64)) #s(approx (pow (* -2 (log u1)) 1/2) (sqrt.f64 (*.f64 (neg.f64 (log.f64 u1)) #s(literal 2 binary64))))) #s(literal 2 binary64))) (-.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (cos.f64 (*.f64 u2 (*.f64 (PI.f64) #s(literal 2 binary64)))) #s(literal 1/6 binary64)) #s(approx (pow (* -2 (log u1)) 1/2) (sqrt.f64 (*.f64 (neg.f64 (log.f64 u1)) #s(literal 2 binary64)))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (cos.f64 (*.f64 u2 (*.f64 (PI.f64) #s(literal 2 binary64)))) #s(literal 1/6 binary64)) #s(approx (pow (* -2 (log u1)) 1/2) (sqrt.f64 (*.f64 (neg.f64 (log.f64 u1)) #s(literal 2 binary64))))) #s(literal 2 binary64)) #s(literal 1/4 binary64))) (neg.f64 (-.f64 (*.f64 (*.f64 (cos.f64 (*.f64 u2 (*.f64 (PI.f64) #s(literal 2 binary64)))) #s(literal 1/6 binary64)) #s(approx (pow (* -2 (log u1)) 1/2) (sqrt.f64 (*.f64 (neg.f64 (log.f64 u1)) #s(literal 2 binary64))))) #s(literal 1/2 binary64))))
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(/.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/36 binary64) (pow.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)) #s(literal 1 binary64)))) (-.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal 1/6 binary64))))
(/.f64 (neg.f64 (+.f64 #s(literal -1/8 binary64) (pow.f64 (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal 1/6 binary64)) #s(literal 3 binary64)))) (neg.f64 (fma.f64 #s(literal 1/36 binary64) (pow.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)) #s(literal 1 binary64)) (-.f64 #s(literal 1/4 binary64) (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal -1/12 binary64))))))
(/.f64 (-.f64 (pow.f64 (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal 1/6 binary64)) #s(literal 4 binary64)) #s(literal 1/16 binary64)) (*.f64 (fma.f64 #s(literal 1/36 binary64) (pow.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)) #s(literal 1 binary64)) #s(literal 1/4 binary64)) (-.f64 (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal 1/6 binary64)) #s(literal -1/2 binary64))))
(/.f64 (-.f64 (pow.f64 (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal 1/6 binary64)) #s(literal 6 binary64)) #s(literal 1/64 binary64)) (*.f64 (+.f64 (fma.f64 (pow.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)) #s(literal 1 binary64)) #s(literal 1/144 binary64) #s(literal 1/16 binary64)) (pow.f64 (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal 1/6 binary64)) #s(literal 4 binary64))) (-.f64 (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal 1/6 binary64)) #s(literal -1/2 binary64))))
(/.f64 (+.f64 #s(literal -1/8 binary64) (pow.f64 (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal 1/6 binary64)) #s(literal 3 binary64))) (+.f64 #s(literal 1/4 binary64) (-.f64 (*.f64 #s(literal 1/36 binary64) (pow.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)) #s(literal 1 binary64))) (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal -1/12 binary64)))))
(/.f64 (+.f64 #s(literal -1/8 binary64) (pow.f64 (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal 1/6 binary64)) #s(literal 3 binary64))) (fma.f64 #s(literal 1/36 binary64) (pow.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)) #s(literal 1 binary64)) (-.f64 #s(literal 1/4 binary64) (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal -1/12 binary64)))))
(/.f64 (neg.f64 (fma.f64 #s(literal 1/36 binary64) (pow.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)) #s(literal 1 binary64)) #s(literal -1/4 binary64))) (neg.f64 (-.f64 (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal 1/6 binary64)) #s(literal -1/2 binary64))))
(/.f64 (fma.f64 #s(literal 1/36 binary64) (pow.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)) #s(literal 1 binary64)) #s(literal -1/4 binary64)) (-.f64 (*.f64 (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) (pow.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)) #s(literal 1/4 binary64))) (pow.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)) #s(literal 1/4 binary64)) #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))
(fma.f64 (pow.f64 (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (pow.f64 (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) #s(literal -1/2 binary64))
(fma.f64 (pow.f64 (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal 1 binary64)) (pow.f64 #s(literal 1/6 binary64) #s(literal 1 binary64)) #s(literal -1/2 binary64))
(fma.f64 (pow.f64 #s(literal 1/6 binary64) #s(literal 1 binary64)) (pow.f64 (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal 1 binary64)) #s(literal -1/2 binary64))
(fma.f64 (pow.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)) #s(literal 1/4 binary64)) (/.f64 (pow.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)) #s(literal 1/4 binary64)) #s(literal 6 binary64)) #s(literal -1/2 binary64))
(fma.f64 (pow.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)) #s(literal 1/4 binary64)) (*.f64 (pow.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)) #s(literal 1/4 binary64)) #s(literal 1/6 binary64)) #s(literal -1/2 binary64))
(fma.f64 (sqrt.f64 (log.f64 u1)) (/.f64 (sqrt.f64 #s(literal -2 binary64)) #s(literal 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 #s(literal -2 binary64)) (/.f64 (sqrt.f64 (log.f64 u1)) #s(literal 6 binary64)) #s(literal -1/2 binary64))
(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 (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal 1/6 binary64) #s(literal -1/2 binary64))
(fma.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal 1/6 binary64)) #s(literal -1/2 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 (*.f64 #s(literal 1/36 binary64) (pow.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)) #s(literal 1 binary64))) (-.f64 (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal 1/6 binary64)) #s(literal -1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (-.f64 (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal 1/6 binary64)) #s(literal -1/2 binary64))))
(-.f64 #s(literal -1/2 binary64) (*.f64 (neg.f64 (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)))) #s(literal 1/6 binary64)))
(-.f64 #s(literal -1/2 binary64) (*.f64 #s(literal -1/6 binary64) (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)))))
(+.f64 (/.f64 (pow.f64 (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal 1/6 binary64)) #s(literal 3 binary64)) (fma.f64 #s(literal 1/36 binary64) (pow.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)) #s(literal 1 binary64)) (-.f64 #s(literal 1/4 binary64) (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal -1/12 binary64))))) (/.f64 #s(literal -1/8 binary64) (fma.f64 #s(literal 1/36 binary64) (pow.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)) #s(literal 1 binary64)) (-.f64 #s(literal 1/4 binary64) (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal -1/12 binary64))))))
(+.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal 1/6 binary64)))
(+.f64 (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal 1/6 binary64)) #s(literal -1/2 binary64))

eval69.0ms (0.7%)

Memory
-8.6MiB live, 89.4MiB allocated; 21ms collecting garbage
Compiler

Compiled 18 218 to 1 648 computations (91% saved)

prune21.0ms (0.2%)

Memory
6.0MiB live, 52.3MiB allocated; 2ms collecting garbage
Pruning

15 alts after pruning (12 fresh and 3 done)

PrunedKeptTotal
New46410474
Fresh426
Picked325
Done011
Total47115486
Accuracy
100.0%
Counts
486 → 15
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.1%
(fma.f64 (/.f64 (pow.f64 (pow.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)) #s(literal 1/4 binary64)) #s(literal 2 binary64)) #s(literal 6 binary64)) (cos.f64 (*.f64 u2 (*.f64 (PI.f64) #s(literal 2 binary64)))) #s(literal 1/2 binary64))
99.3%
(fma.f64 (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal 1/6 binary64)) (cos.f64 (*.f64 u2 (*.f64 (PI.f64) #s(literal 2 binary64)))) #s(literal 1/2 binary64))
99.4%
(fma.f64 (*.f64 (cos.f64 (*.f64 u2 (*.f64 (PI.f64) #s(literal 2 binary64)))) #s(literal 1/6 binary64)) (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal 1/2 binary64))
98.2%
(fma.f64 (*.f64 #s(approx (pow (* -2 (log u1)) 1/2) (sqrt.f64 (*.f64 (neg.f64 (log.f64 u1)) #s(literal 2 binary64)))) #s(literal 1/6 binary64)) #s(approx (cos (* (* 2 (PI)) u2)) (fma.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (*.f64 u2 u2) #s(literal -2 binary64)) #s(literal 1 binary64))) #s(literal 1/2 binary64))
98.2%
(fma.f64 (*.f64 #s(approx (cos (* (* 2 (PI)) u2)) (fma.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (*.f64 u2 u2) #s(literal -2 binary64)) #s(literal 1 binary64))) #s(literal 1/6 binary64)) #s(approx (pow (* -2 (log u1)) 1/2) (sqrt.f64 (*.f64 (neg.f64 (log.f64 u1)) #s(literal 2 binary64)))) #s(literal 1/2 binary64))
98.3%
(+.f64 (/.f64 (*.f64 #s(approx (cos (* (* 2 (PI)) u2)) (fma.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (*.f64 u2 u2) #s(literal -2 binary64)) #s(literal 1 binary64))) #s(approx (pow (* -2 (log u1)) 1/2) (sqrt.f64 (*.f64 (neg.f64 (log.f64 u1)) #s(literal 2 binary64))))) #s(literal 6 binary64)) #s(literal 1/2 binary64))
97.7%
(+.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) #s(approx (pow (* -2 (log u1)) 1/2) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (neg.f64 (log.f64 u1)))))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary64))) #s(literal 1/2 binary64))
97.4%
(+.f64 (*.f64 (*.f64 (exp.f64 (*.f64 (log.f64 #s(literal 6 binary64)) #s(literal -1 binary64))) #s(approx (pow (* -2 (log u1)) 1/2) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (neg.f64 (log.f64 u1)))))) #s(approx (cos (* (* 2 (PI)) u2)) (fma.f64 (*.f64 (*.f64 u2 u2) #s(literal -2 binary64)) (*.f64 (PI.f64) (PI.f64)) #s(literal 1 binary64)))) #s(literal 1/2 binary64))
99.6%
(+.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) #s(approx (pow (* -2 (log u1)) 1/2) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (neg.f64 (log.f64 u1)))))) (cos.f64 (*.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) u2))) #s(literal 1/2 binary64))
98.4%
(+.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) #s(approx (pow (* -2 (log u1)) 1/2) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (neg.f64 (log.f64 u1)))))) #s(approx (cos (* (* 2 (PI)) u2)) (fma.f64 (*.f64 (*.f64 u2 u2) #s(literal -2 binary64)) (*.f64 (PI.f64) (PI.f64)) #s(literal 1 binary64)))) #s(literal 1/2 binary64))
97.2%
#s(approx (+ (* (* (/ 1 6) (pow (* -2 (log u1)) 1/2)) (cos (* (* 2 (PI)) u2))) 1/2) (fma.f64 (pow.f64 (pow.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)) #s(literal 1/4 binary64)) #s(literal 2 binary64)) #s(literal 1/6 binary64) #s(literal 1/2 binary64)))
97.5%
#s(approx (+ (* (* (/ 1 6) (pow (* -2 (log u1)) 1/2)) (cos (* (* 2 (PI)) u2))) 1/2) (fma.f64 (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal 1/6 binary64) #s(literal 1/2 binary64)))
97.2%
#s(approx (+ (* (* (/ 1 6) (pow (* -2 (log u1)) 1/2)) (cos (* (* 2 (PI)) u2))) 1/2) (fma.f64 (exp.f64 (*.f64 (log.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal 1/2 binary64))) #s(literal 1/6 binary64) #s(literal 1/2 binary64)))
97.2%
#s(approx (+ (* (* (/ 1 6) (pow (* -2 (log u1)) 1/2)) (cos (* (* 2 (PI)) u2))) 1/2) (/.f64 (-.f64 (/.f64 (pow.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)) #s(literal 1 binary64)) #s(literal 36 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))))
97.5%
#s(approx (+ (* (* (/ 1 6) (pow (* -2 (log u1)) 1/2)) (cos (* (* 2 (PI)) u2))) 1/2) (/.f64 (-.f64 #s(approx (pow (* (sqrt (* (log u1) -2)) 1/6) 2) (*.f64 #s(literal -1/18 binary64) (log.f64 u1))) #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))))
Compiler

Compiled 842 to 754 computations (10.5% saved)

simplify668.0ms (6.3%)

Memory
0.9MiB live, 408.2MiB allocated; 113ms collecting garbage
Algorithm
egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(pow.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)) #s(literal 1/4 binary64))
cost-diff0
(fma.f64 (pow.f64 (pow.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)) #s(literal 1/4 binary64)) #s(literal 2 binary64)) #s(literal 1/6 binary64) #s(literal 1/2 binary64))
cost-diff0
#s(approx (+ (* (* (/ 1 6) (pow (* -2 (log u1)) 1/2)) (cos (* (* 2 (PI)) u2))) 1/2) (fma.f64 (pow.f64 (pow.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)) #s(literal 1/4 binary64)) #s(literal 2 binary64)) #s(literal 1/6 binary64) #s(literal 1/2 binary64)))
cost-diff3
(pow.f64 (pow.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)) #s(literal 1/4 binary64)) #s(literal 2 binary64))
cost-diff0
#s(approx (pow (* -2 (log u1)) 1/2) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (neg.f64 (log.f64 u1)))))
cost-diff0
(*.f64 #s(literal 1/6 binary64) #s(approx (pow (* -2 (log u1)) 1/2) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (neg.f64 (log.f64 u1))))))
cost-diff0
(*.f64 (*.f64 #s(literal 1/6 binary64) #s(approx (pow (* -2 (log u1)) 1/2) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (neg.f64 (log.f64 u1)))))) #s(approx (cos (* (* 2 (PI)) u2)) (fma.f64 (*.f64 (*.f64 u2 u2) #s(literal -2 binary64)) (*.f64 (PI.f64) (PI.f64)) #s(literal 1 binary64))))
cost-diff1
(+.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) #s(approx (pow (* -2 (log u1)) 1/2) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (neg.f64 (log.f64 u1)))))) #s(approx (cos (* (* 2 (PI)) u2)) (fma.f64 (*.f64 (*.f64 u2 u2) #s(literal -2 binary64)) (*.f64 (PI.f64) (PI.f64)) #s(literal 1 binary64)))) #s(literal 1/2 binary64))
cost-diff0
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) #s(approx (pow (* -2 (log u1)) 1/2) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (neg.f64 (log.f64 u1))))))
cost-diff0
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) #s(approx (pow (* -2 (log u1)) 1/2) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (neg.f64 (log.f64 u1)))))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary64)))
cost-diff1
(+.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) #s(approx (pow (* -2 (log u1)) 1/2) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (neg.f64 (log.f64 u1)))))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary64))) #s(literal 1/2 binary64))
cost-diff2
(/.f64 #s(literal 1 binary64) #s(literal 6 binary64))
cost-diff0
#s(approx (cos (* (* 2 (PI)) u2)) (fma.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (*.f64 u2 u2) #s(literal -2 binary64)) #s(literal 1 binary64)))
cost-diff0
(*.f64 #s(approx (cos (* (* 2 (PI)) u2)) (fma.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (*.f64 u2 u2) #s(literal -2 binary64)) #s(literal 1 binary64))) #s(literal 1/6 binary64))
cost-diff0
(fma.f64 (*.f64 #s(approx (cos (* (* 2 (PI)) u2)) (fma.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (*.f64 u2 u2) #s(literal -2 binary64)) #s(literal 1 binary64))) #s(literal 1/6 binary64)) #s(approx (pow (* -2 (log u1)) 1/2) (sqrt.f64 (*.f64 (neg.f64 (log.f64 u1)) #s(literal 2 binary64)))) #s(literal 1/2 binary64))
cost-diff1
(*.f64 (neg.f64 (log.f64 u1)) #s(literal 2 binary64))
cost-diff0
(*.f64 u2 (*.f64 (PI.f64) #s(literal 2 binary64)))
cost-diff0
(cos.f64 (*.f64 u2 (*.f64 (PI.f64) #s(literal 2 binary64))))
cost-diff0
(*.f64 (cos.f64 (*.f64 u2 (*.f64 (PI.f64) #s(literal 2 binary64)))) #s(literal 1/6 binary64))
cost-diff0
(fma.f64 (*.f64 (cos.f64 (*.f64 u2 (*.f64 (PI.f64) #s(literal 2 binary64)))) #s(literal 1/6 binary64)) (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal 1/2 binary64))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
058527
096510
1191502
2483502
31764502
45732502
08333500
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(fma.f64 (*.f64 (cos.f64 (*.f64 u2 (*.f64 (PI.f64) #s(literal 2 binary64)))) #s(literal 1/6 binary64)) (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal 1/2 binary64))
(*.f64 (cos.f64 (*.f64 u2 (*.f64 (PI.f64) #s(literal 2 binary64)))) #s(literal 1/6 binary64))
(cos.f64 (*.f64 u2 (*.f64 (PI.f64) #s(literal 2 binary64))))
(*.f64 u2 (*.f64 (PI.f64) #s(literal 2 binary64)))
u2
(*.f64 (PI.f64) #s(literal 2 binary64))
(PI.f64)
#s(literal 2 binary64)
#s(literal 1/6 binary64)
(sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)))
(*.f64 (log.f64 u1) #s(literal -2 binary64))
(log.f64 u1)
u1
#s(literal -2 binary64)
#s(literal 1/2 binary64)
(fma.f64 (*.f64 #s(approx (cos (* (* 2 (PI)) u2)) (fma.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (*.f64 u2 u2) #s(literal -2 binary64)) #s(literal 1 binary64))) #s(literal 1/6 binary64)) #s(approx (pow (* -2 (log u1)) 1/2) (sqrt.f64 (*.f64 (neg.f64 (log.f64 u1)) #s(literal 2 binary64)))) #s(literal 1/2 binary64))
(*.f64 #s(approx (cos (* (* 2 (PI)) u2)) (fma.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (*.f64 u2 u2) #s(literal -2 binary64)) #s(literal 1 binary64))) #s(literal 1/6 binary64))
#s(approx (cos (* (* 2 (PI)) u2)) (fma.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (*.f64 u2 u2) #s(literal -2 binary64)) #s(literal 1 binary64)))
(fma.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (*.f64 u2 u2) #s(literal -2 binary64)) #s(literal 1 binary64))
(*.f64 (PI.f64) (PI.f64))
(PI.f64)
(*.f64 (*.f64 u2 u2) #s(literal -2 binary64))
(*.f64 u2 u2)
u2
#s(literal -2 binary64)
#s(literal 1 binary64)
#s(literal 1/6 binary64)
#s(approx (pow (* -2 (log u1)) 1/2) (sqrt.f64 (*.f64 (neg.f64 (log.f64 u1)) #s(literal 2 binary64))))
(sqrt.f64 (*.f64 (neg.f64 (log.f64 u1)) #s(literal 2 binary64)))
(*.f64 (neg.f64 (log.f64 u1)) #s(literal 2 binary64))
(neg.f64 (log.f64 u1))
(log.f64 u1)
u1
#s(literal 2 binary64)
#s(literal 1/2 binary64)
(+.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) #s(approx (pow (* -2 (log u1)) 1/2) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (neg.f64 (log.f64 u1)))))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary64))) #s(literal 1/2 binary64))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) #s(approx (pow (* -2 (log u1)) 1/2) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (neg.f64 (log.f64 u1)))))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) #s(approx (pow (* -2 (log u1)) 1/2) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (neg.f64 (log.f64 u1))))))
(/.f64 #s(literal 1 binary64) #s(literal 6 binary64))
#s(literal 1 binary64)
#s(literal 6 binary64)
#s(approx (pow (* -2 (log u1)) 1/2) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (neg.f64 (log.f64 u1)))))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (neg.f64 (log.f64 u1))))
(sqrt.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
(sqrt.f64 (neg.f64 (log.f64 u1)))
(neg.f64 (log.f64 u1))
(log.f64 u1)
u1
#s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary64))
#s(literal 1/2 binary64)
(+.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) #s(approx (pow (* -2 (log u1)) 1/2) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (neg.f64 (log.f64 u1)))))) #s(approx (cos (* (* 2 (PI)) u2)) (fma.f64 (*.f64 (*.f64 u2 u2) #s(literal -2 binary64)) (*.f64 (PI.f64) (PI.f64)) #s(literal 1 binary64)))) #s(literal 1/2 binary64))
(*.f64 (*.f64 #s(literal 1/6 binary64) #s(approx (pow (* -2 (log u1)) 1/2) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (neg.f64 (log.f64 u1)))))) #s(approx (cos (* (* 2 (PI)) u2)) (fma.f64 (*.f64 (*.f64 u2 u2) #s(literal -2 binary64)) (*.f64 (PI.f64) (PI.f64)) #s(literal 1 binary64))))
(*.f64 #s(literal 1/6 binary64) #s(approx (pow (* -2 (log u1)) 1/2) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (neg.f64 (log.f64 u1))))))
#s(literal 1/6 binary64)
#s(approx (pow (* -2 (log u1)) 1/2) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (neg.f64 (log.f64 u1)))))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (neg.f64 (log.f64 u1))))
(sqrt.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
(sqrt.f64 (neg.f64 (log.f64 u1)))
(neg.f64 (log.f64 u1))
(log.f64 u1)
u1
#s(approx (cos (* (* 2 (PI)) u2)) (fma.f64 (*.f64 (*.f64 u2 u2) #s(literal -2 binary64)) (*.f64 (PI.f64) (PI.f64)) #s(literal 1 binary64)))
(fma.f64 (*.f64 (*.f64 u2 u2) #s(literal -2 binary64)) (*.f64 (PI.f64) (PI.f64)) #s(literal 1 binary64))
(*.f64 (*.f64 u2 u2) #s(literal -2 binary64))
(*.f64 u2 u2)
u2
#s(literal -2 binary64)
(*.f64 (PI.f64) (PI.f64))
(PI.f64)
#s(literal 1 binary64)
#s(literal 1/2 binary64)
#s(approx (+ (* (* (/ 1 6) (pow (* -2 (log u1)) 1/2)) (cos (* (* 2 (PI)) u2))) 1/2) (fma.f64 (pow.f64 (pow.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)) #s(literal 1/4 binary64)) #s(literal 2 binary64)) #s(literal 1/6 binary64) #s(literal 1/2 binary64)))
(fma.f64 (pow.f64 (pow.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)) #s(literal 1/4 binary64)) #s(literal 2 binary64)) #s(literal 1/6 binary64) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)) #s(literal 1/4 binary64))
(*.f64 (log.f64 u1) #s(literal -2 binary64))
(log.f64 u1)
u1
#s(literal -2 binary64)
#s(literal 1/4 binary64)
#s(literal 2 binary64)
#s(literal 1/6 binary64)
#s(literal 1/2 binary64)
Outputs
(fma.f64 (*.f64 (cos.f64 (*.f64 u2 (*.f64 (PI.f64) #s(literal 2 binary64)))) #s(literal 1/6 binary64)) (sqrt.f64 (*.f64 (log.f64 u1) #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)) (cos.f64 (*.f64 (*.f64 #s(literal -2 binary64) (PI.f64)) u2)) #s(literal 1/2 binary64))
(*.f64 (cos.f64 (*.f64 u2 (*.f64 (PI.f64) #s(literal 2 binary64)))) #s(literal 1/6 binary64))
(*.f64 (cos.f64 (*.f64 (*.f64 #s(literal -2 binary64) (PI.f64)) u2)) #s(literal 1/6 binary64))
(cos.f64 (*.f64 u2 (*.f64 (PI.f64) #s(literal 2 binary64))))
(cos.f64 (*.f64 (*.f64 #s(literal -2 binary64) (PI.f64)) u2))
(*.f64 u2 (*.f64 (PI.f64) #s(literal 2 binary64)))
(*.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) u2)
u2
(*.f64 (PI.f64) #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) (PI.f64))
(PI.f64)
#s(literal 2 binary64)
#s(literal 1/6 binary64)
(sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)))
(sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)))
(*.f64 (log.f64 u1) #s(literal -2 binary64))
(*.f64 #s(literal -2 binary64) (log.f64 u1))
(log.f64 u1)
u1
#s(literal -2 binary64)
#s(literal 1/2 binary64)
(fma.f64 (*.f64 #s(approx (cos (* (* 2 (PI)) u2)) (fma.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (*.f64 u2 u2) #s(literal -2 binary64)) #s(literal 1 binary64))) #s(literal 1/6 binary64)) #s(approx (pow (* -2 (log u1)) 1/2) (sqrt.f64 (*.f64 (neg.f64 (log.f64 u1)) #s(literal 2 binary64)))) #s(literal 1/2 binary64))
(fma.f64 #s(approx (pow (* -2 (log u1)) 1/2) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)))) (*.f64 #s(approx (cos (* (* 2 (PI)) u2)) (fma.f64 (*.f64 (*.f64 u2 u2) #s(literal -2 binary64)) (*.f64 (PI.f64) (PI.f64)) #s(literal 1 binary64))) #s(literal 1/6 binary64)) #s(literal 1/2 binary64))
(*.f64 #s(approx (cos (* (* 2 (PI)) u2)) (fma.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (*.f64 u2 u2) #s(literal -2 binary64)) #s(literal 1 binary64))) #s(literal 1/6 binary64))
(*.f64 #s(approx (cos (* (* 2 (PI)) u2)) (fma.f64 (*.f64 (*.f64 u2 u2) #s(literal -2 binary64)) (*.f64 (PI.f64) (PI.f64)) #s(literal 1 binary64))) #s(literal 1/6 binary64))
#s(approx (cos (* (* 2 (PI)) u2)) (fma.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (*.f64 u2 u2) #s(literal -2 binary64)) #s(literal 1 binary64)))
#s(approx (cos (* (* 2 (PI)) u2)) (fma.f64 (*.f64 (*.f64 u2 u2) #s(literal -2 binary64)) (*.f64 (PI.f64) (PI.f64)) #s(literal 1 binary64)))
(fma.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (*.f64 u2 u2) #s(literal -2 binary64)) #s(literal 1 binary64))
(fma.f64 (*.f64 (*.f64 u2 u2) #s(literal -2 binary64)) (*.f64 (PI.f64) (PI.f64)) #s(literal 1 binary64))
(*.f64 (PI.f64) (PI.f64))
(PI.f64)
(*.f64 (*.f64 u2 u2) #s(literal -2 binary64))
(*.f64 u2 u2)
u2
#s(literal -2 binary64)
#s(literal 1 binary64)
#s(literal 1/6 binary64)
#s(approx (pow (* -2 (log u1)) 1/2) (sqrt.f64 (*.f64 (neg.f64 (log.f64 u1)) #s(literal 2 binary64))))
#s(approx (pow (* -2 (log u1)) 1/2) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))))
(sqrt.f64 (*.f64 (neg.f64 (log.f64 u1)) #s(literal 2 binary64)))
(sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)))
(*.f64 (neg.f64 (log.f64 u1)) #s(literal 2 binary64))
(*.f64 #s(literal -2 binary64) (log.f64 u1))
(neg.f64 (log.f64 u1))
(log.f64 u1)
u1
#s(literal 2 binary64)
#s(literal 1/2 binary64)
(+.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) #s(approx (pow (* -2 (log u1)) 1/2) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (neg.f64 (log.f64 u1)))))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary64))) #s(literal 1/2 binary64))
(fma.f64 (*.f64 #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary64)) #s(literal 1/6 binary64)) #s(approx (pow (* -2 (log u1)) 1/2) (*.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 1/2 binary64))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) #s(approx (pow (* -2 (log u1)) 1/2) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (neg.f64 (log.f64 u1)))))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary64)))
(*.f64 (*.f64 #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary64)) #s(literal 1/6 binary64)) #s(approx (pow (* -2 (log u1)) 1/2) (*.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (sqrt.f64 #s(literal 2 binary64)))))
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) #s(approx (pow (* -2 (log u1)) 1/2) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (neg.f64 (log.f64 u1))))))
(*.f64 #s(approx (pow (* -2 (log u1)) 1/2) (*.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 1/6 binary64))
(/.f64 #s(literal 1 binary64) #s(literal 6 binary64))
#s(literal 1/6 binary64)
#s(literal 1 binary64)
#s(literal 6 binary64)
#s(approx (pow (* -2 (log u1)) 1/2) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (neg.f64 (log.f64 u1)))))
#s(approx (pow (* -2 (log u1)) 1/2) (*.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (neg.f64 (log.f64 u1))))
(*.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (sqrt.f64 #s(literal 2 binary64)))
(sqrt.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
(sqrt.f64 (neg.f64 (log.f64 u1)))
(neg.f64 (log.f64 u1))
(log.f64 u1)
u1
#s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary64))
#s(literal 1/2 binary64)
(+.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) #s(approx (pow (* -2 (log u1)) 1/2) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (neg.f64 (log.f64 u1)))))) #s(approx (cos (* (* 2 (PI)) u2)) (fma.f64 (*.f64 (*.f64 u2 u2) #s(literal -2 binary64)) (*.f64 (PI.f64) (PI.f64)) #s(literal 1 binary64)))) #s(literal 1/2 binary64))
(fma.f64 (*.f64 #s(approx (pow (* -2 (log u1)) 1/2) (*.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 1/6 binary64)) #s(approx (cos (* (* 2 (PI)) u2)) (fma.f64 (*.f64 (*.f64 u2 u2) #s(literal -2 binary64)) (*.f64 (PI.f64) (PI.f64)) #s(literal 1 binary64))) #s(literal 1/2 binary64))
(*.f64 (*.f64 #s(literal 1/6 binary64) #s(approx (pow (* -2 (log u1)) 1/2) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (neg.f64 (log.f64 u1)))))) #s(approx (cos (* (* 2 (PI)) u2)) (fma.f64 (*.f64 (*.f64 u2 u2) #s(literal -2 binary64)) (*.f64 (PI.f64) (PI.f64)) #s(literal 1 binary64))))
(*.f64 (*.f64 #s(approx (pow (* -2 (log u1)) 1/2) (*.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 1/6 binary64)) #s(approx (cos (* (* 2 (PI)) u2)) (fma.f64 (*.f64 (*.f64 u2 u2) #s(literal -2 binary64)) (*.f64 (PI.f64) (PI.f64)) #s(literal 1 binary64))))
(*.f64 #s(literal 1/6 binary64) #s(approx (pow (* -2 (log u1)) 1/2) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (neg.f64 (log.f64 u1))))))
(*.f64 #s(approx (pow (* -2 (log u1)) 1/2) (*.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 1/6 binary64))
#s(literal 1/6 binary64)
#s(approx (pow (* -2 (log u1)) 1/2) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (neg.f64 (log.f64 u1)))))
#s(approx (pow (* -2 (log u1)) 1/2) (*.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (neg.f64 (log.f64 u1))))
(*.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (sqrt.f64 #s(literal 2 binary64)))
(sqrt.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
(sqrt.f64 (neg.f64 (log.f64 u1)))
(neg.f64 (log.f64 u1))
(log.f64 u1)
u1
#s(approx (cos (* (* 2 (PI)) u2)) (fma.f64 (*.f64 (*.f64 u2 u2) #s(literal -2 binary64)) (*.f64 (PI.f64) (PI.f64)) #s(literal 1 binary64)))
(fma.f64 (*.f64 (*.f64 u2 u2) #s(literal -2 binary64)) (*.f64 (PI.f64) (PI.f64)) #s(literal 1 binary64))
(*.f64 (*.f64 u2 u2) #s(literal -2 binary64))
(*.f64 u2 u2)
u2
#s(literal -2 binary64)
(*.f64 (PI.f64) (PI.f64))
(PI.f64)
#s(literal 1 binary64)
#s(literal 1/2 binary64)
#s(approx (+ (* (* (/ 1 6) (pow (* -2 (log u1)) 1/2)) (cos (* (* 2 (PI)) u2))) 1/2) (fma.f64 (pow.f64 (pow.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)) #s(literal 1/4 binary64)) #s(literal 2 binary64)) #s(literal 1/6 binary64) #s(literal 1/2 binary64)))
#s(approx (+ (* (* (/ 1 6) (pow (* -2 (log u1)) 1/2)) (cos (* (* 2 (PI)) u2))) 1/2) (fma.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal 1/6 binary64) #s(literal 1/2 binary64)))
(fma.f64 (pow.f64 (pow.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)) #s(literal 1/4 binary64)) #s(literal 2 binary64)) #s(literal 1/6 binary64) #s(literal 1/2 binary64))
(fma.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal 1/6 binary64) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)))
(pow.f64 (*.f64 (log.f64 u1) #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 (log.f64 u1) #s(literal -2 binary64))
(*.f64 #s(literal -2 binary64) (log.f64 u1))
(log.f64 u1)
u1
#s(literal -2 binary64)
#s(literal 1/4 binary64)
#s(literal 2 binary64)
#s(literal 1/6 binary64)
#s(literal 1/2 binary64)

localize242.0ms (2.3%)

Memory
18.8MiB live, 246.5MiB allocated; 36ms collecting garbage
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0.05859375
(pow.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)) #s(literal 1/4 binary64))
accuracy0.37109375
(fma.f64 (pow.f64 (pow.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)) #s(literal 1/4 binary64)) #s(literal 2 binary64)) #s(literal 1/6 binary64) #s(literal 1/2 binary64))
accuracy0.5341987793053261
(pow.f64 (pow.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)) #s(literal 1/4 binary64)) #s(literal 2 binary64))
accuracy1.2029802321995748
#s(approx (+ (* (* (/ 1 6) (pow (* -2 (log u1)) 1/2)) (cos (* (* 2 (PI)) u2))) 1/2) (fma.f64 (pow.f64 (pow.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)) #s(literal 1/4 binary64)) #s(literal 2 binary64)) #s(literal 1/6 binary64) #s(literal 1/2 binary64)))
accuracy0.109375
(sqrt.f64 (neg.f64 (log.f64 u1)))
accuracy0.375
(*.f64 #s(literal 1/6 binary64) #s(approx (pow (* -2 (log u1)) 1/2) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (neg.f64 (log.f64 u1))))))
accuracy0.4404487793053261
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (neg.f64 (log.f64 u1))))
accuracy0.765014228301566
#s(approx (cos (* (* 2 (PI)) u2)) (fma.f64 (*.f64 (*.f64 u2 u2) #s(literal -2 binary64)) (*.f64 (PI.f64) (PI.f64)) #s(literal 1 binary64)))
accuracy0.109375
(sqrt.f64 (neg.f64 (log.f64 u1)))
accuracy0.375
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) #s(approx (pow (* -2 (log u1)) 1/2) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (neg.f64 (log.f64 u1))))))
accuracy0.4404487793053261
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (neg.f64 (log.f64 u1))))
accuracy1.222285794511171
#s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary64))
accuracy0.015625
(*.f64 (*.f64 u2 u2) #s(literal -2 binary64))
accuracy0.12890625
(sqrt.f64 (*.f64 (neg.f64 (log.f64 u1)) #s(literal 2 binary64)))
accuracy0.37890625
(fma.f64 (*.f64 #s(approx (cos (* (* 2 (PI)) u2)) (fma.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (*.f64 u2 u2) #s(literal -2 binary64)) #s(literal 1 binary64))) #s(literal 1/6 binary64)) #s(approx (pow (* -2 (log u1)) 1/2) (sqrt.f64 (*.f64 (neg.f64 (log.f64 u1)) #s(literal 2 binary64)))) #s(literal 1/2 binary64))
accuracy0.765014228301566
#s(approx (cos (* (* 2 (PI)) u2)) (fma.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (*.f64 u2 u2) #s(literal -2 binary64)) #s(literal 1 binary64)))
accuracy0.0078125
(*.f64 (cos.f64 (*.f64 u2 (*.f64 (PI.f64) #s(literal 2 binary64)))) #s(literal 1/6 binary64))
accuracy0.12890625
(sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)))
accuracy0.25
(*.f64 u2 (*.f64 (PI.f64) #s(literal 2 binary64)))
accuracy0.37890625
(fma.f64 (*.f64 (cos.f64 (*.f64 u2 (*.f64 (PI.f64) #s(literal 2 binary64)))) #s(literal 1/6 binary64)) (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal 1/2 binary64))
Samples
175.0ms256×0valid
Compiler

Compiled 382 to 51 computations (86.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 144.0ms
ival-mult: 99.0ms (68.6% of total)
ival-add: 12.0ms (8.3% of total)
ival-sqrt: 8.0ms (5.5% of total)
ival-pow: 5.0ms (3.5% of total)
const: 4.0ms (2.8% of total)
ival-cosu: 3.0ms (2.1% of total)
ival-log: 3.0ms (2.1% of total)
ival-pow2: 3.0ms (2.1% of total)
ival-div: 2.0ms (1.4% of total)
ival-cos: 2.0ms (1.4% of total)
ival-pi: 1.0ms (0.7% of total)
exact: 1.0ms (0.7% of total)
ival-neg: 1.0ms (0.7% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series130.0ms (1.2%)

Memory
-38.9MiB live, 196.2MiB allocated; 34ms collecting garbage
Counts
27 → 46
Calls
Call 1
Inputs
(fma.f64 (*.f64 (cos.f64 (*.f64 u2 (*.f64 (PI.f64) #s(literal 2 binary64)))) #s(literal 1/6 binary64)) (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal 1/2 binary64))
(*.f64 (cos.f64 (*.f64 u2 (*.f64 (PI.f64) #s(literal 2 binary64)))) #s(literal 1/6 binary64))
(cos.f64 (*.f64 u2 (*.f64 (PI.f64) #s(literal 2 binary64))))
(*.f64 u2 (*.f64 (PI.f64) #s(literal 2 binary64)))
(*.f64 (neg.f64 (log.f64 u1)) #s(literal 2 binary64))
(fma.f64 (*.f64 #s(approx (cos (* (* 2 (PI)) u2)) (fma.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (*.f64 u2 u2) #s(literal -2 binary64)) #s(literal 1 binary64))) #s(literal 1/6 binary64)) #s(approx (pow (* -2 (log u1)) 1/2) (sqrt.f64 (*.f64 (neg.f64 (log.f64 u1)) #s(literal 2 binary64)))) #s(literal 1/2 binary64))
(*.f64 #s(approx (cos (* (* 2 (PI)) u2)) (fma.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (*.f64 u2 u2) #s(literal -2 binary64)) #s(literal 1 binary64))) #s(literal 1/6 binary64))
#s(approx (cos (* (* 2 (PI)) u2)) (fma.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (*.f64 u2 u2) #s(literal -2 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) #s(literal 6 binary64))
(+.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) #s(approx (pow (* -2 (log u1)) 1/2) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (neg.f64 (log.f64 u1)))))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary64))) #s(literal 1/2 binary64))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) #s(approx (pow (* -2 (log u1)) 1/2) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (neg.f64 (log.f64 u1)))))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) #s(approx (pow (* -2 (log u1)) 1/2) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (neg.f64 (log.f64 u1))))))
(+.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) #s(approx (pow (* -2 (log u1)) 1/2) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (neg.f64 (log.f64 u1)))))) #s(approx (cos (* (* 2 (PI)) u2)) (fma.f64 (*.f64 (*.f64 u2 u2) #s(literal -2 binary64)) (*.f64 (PI.f64) (PI.f64)) #s(literal 1 binary64)))) #s(literal 1/2 binary64))
(*.f64 (*.f64 #s(literal 1/6 binary64) #s(approx (pow (* -2 (log u1)) 1/2) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (neg.f64 (log.f64 u1)))))) #s(approx (cos (* (* 2 (PI)) u2)) (fma.f64 (*.f64 (*.f64 u2 u2) #s(literal -2 binary64)) (*.f64 (PI.f64) (PI.f64)) #s(literal 1 binary64))))
(*.f64 #s(literal 1/6 binary64) #s(approx (pow (* -2 (log u1)) 1/2) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (neg.f64 (log.f64 u1))))))
#s(approx (pow (* -2 (log u1)) 1/2) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (neg.f64 (log.f64 u1)))))
(pow.f64 (pow.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)) #s(literal 1/4 binary64)) #s(literal 2 binary64))
#s(approx (+ (* (* (/ 1 6) (pow (* -2 (log u1)) 1/2)) (cos (* (* 2 (PI)) u2))) 1/2) (fma.f64 (pow.f64 (pow.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)) #s(literal 1/4 binary64)) #s(literal 2 binary64)) #s(literal 1/6 binary64) #s(literal 1/2 binary64)))
(fma.f64 (pow.f64 (pow.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)) #s(literal 1/4 binary64)) #s(literal 2 binary64)) #s(literal 1/6 binary64) #s(literal 1/2 binary64))
(pow.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)) #s(literal 1/4 binary64))
(sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)))
(sqrt.f64 (*.f64 (neg.f64 (log.f64 u1)) #s(literal 2 binary64)))
(*.f64 (*.f64 u2 u2) #s(literal -2 binary64))
#s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary64))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (neg.f64 (log.f64 u1))))
(sqrt.f64 (neg.f64 (log.f64 u1)))
#s(approx (cos (* (* 2 (PI)) u2)) (fma.f64 (*.f64 (*.f64 u2 u2) #s(literal -2 binary64)) (*.f64 (PI.f64) (PI.f64)) #s(literal 1 binary64)))
Outputs
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))))
(* -2 (log u1))
(* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1))))
(* 1/6 (* (sqrt (log u1)) (sqrt -2)))
(* (sqrt (log u1)) (sqrt -2))
(+ 1/2 (* 1/6 (* (sqrt (log u1)) (sqrt -2))))
(pow (* -2 (log u1)) 1/4)
(* (sqrt (log u1)) (* (sqrt -1) (sqrt 2)))
(* (sqrt (log u1)) (sqrt -1))
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -2) (sqrt -1))) (sqrt (log (/ 1 u1))))))
(* 2 (log (/ 1 u1)))
(* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -2) (sqrt -1))) (sqrt (log (/ 1 u1)))))
(* 1/6 (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1))))
(* (sqrt (log (/ 1 u1))) (sqrt 2))
(+ 1/2 (* 1/6 (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1)))))
(pow (* 2 (log (/ 1 u1))) 1/4)
(* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1)))
(* (sqrt (log (/ 1 u1))) (* (pow (sqrt -1) 2) (sqrt 2)))
(* (sqrt (log (/ 1 u1))) (pow (sqrt -1) 2))
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))))
(* -2 (+ (log -1) (* -1 (log (/ -1 u1)))))
(* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))))
(* 1/6 (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))))
(* (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 -1) (* -1 (log (/ -1 u1))))) 1/4)
(* (* (sqrt -1) (sqrt 2)) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))
(* (sqrt -1) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))
(+ 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))))))))))
1/6
(+ 1/6 (* -1/3 (* (pow u2 2) (pow (PI) 2))))
(+ 1/6 (* (pow u2 2) (+ (* -1/3 (pow (PI) 2)) (* 1/9 (* (pow u2 2) (pow (PI) 4))))))
(+ 1/6 (* (pow u2 2) (+ (* -1/3 (pow (PI) 2)) (* (pow u2 2) (+ (* -2/135 (* (pow u2 2) (pow (PI) 6))) (* 1/9 (pow (PI) 4)))))))
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)))))))
(* 2 (* u2 (PI)))
(+ (* -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)))))))))
(* -2 (pow u2 2))
(* 1/6 (cos (* 2 (* u2 (PI)))))
(cos (* 2 (* u2 (PI))))
Calls

6 calls:

TimeVariablePointExpression
51.0ms
u1
@0
((+ (* (* (cos (* u2 (* (PI) 2))) 1/6) (sqrt (* (log u1) -2))) 1/2) (* (cos (* u2 (* (PI) 2))) 1/6) (cos (* u2 (* (PI) 2))) (* u2 (* (PI) 2)) (* (neg (log u1)) 2) (+ (* (* (cos (* (* 2 (PI)) u2)) 1/6) (pow (* -2 (log u1)) 1/2)) 1/2) (* (cos (* (* 2 (PI)) u2)) 1/6) (cos (* (* 2 (PI)) u2)) (/ 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)) (+ (* (* 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)) (pow (* -2 (log u1)) 1/2) (pow (pow (* (log u1) -2) 1/4) 2) (+ (* (* (/ 1 6) (pow (* -2 (log u1)) 1/2)) (cos (* (* 2 (PI)) u2))) 1/2) (+ (* (pow (pow (* (log u1) -2) 1/4) 2) 1/6) 1/2) (pow (* (log u1) -2) 1/4) (sqrt (* (log u1) -2)) (sqrt (* (neg (log u1)) 2)) (* (* u2 u2) -2) (cos (* (* 2 (PI)) u2)) (* (sqrt 2) (sqrt (neg (log u1)))) (sqrt (neg (log u1))) (cos (* (* 2 (PI)) u2)))
31.0ms
u1
@inf
((+ (* (* (cos (* u2 (* (PI) 2))) 1/6) (sqrt (* (log u1) -2))) 1/2) (* (cos (* u2 (* (PI) 2))) 1/6) (cos (* u2 (* (PI) 2))) (* u2 (* (PI) 2)) (* (neg (log u1)) 2) (+ (* (* (cos (* (* 2 (PI)) u2)) 1/6) (pow (* -2 (log u1)) 1/2)) 1/2) (* (cos (* (* 2 (PI)) u2)) 1/6) (cos (* (* 2 (PI)) u2)) (/ 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)) (+ (* (* 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)) (pow (* -2 (log u1)) 1/2) (pow (pow (* (log u1) -2) 1/4) 2) (+ (* (* (/ 1 6) (pow (* -2 (log u1)) 1/2)) (cos (* (* 2 (PI)) u2))) 1/2) (+ (* (pow (pow (* (log u1) -2) 1/4) 2) 1/6) 1/2) (pow (* (log u1) -2) 1/4) (sqrt (* (log u1) -2)) (sqrt (* (neg (log u1)) 2)) (* (* u2 u2) -2) (cos (* (* 2 (PI)) u2)) (* (sqrt 2) (sqrt (neg (log u1)))) (sqrt (neg (log u1))) (cos (* (* 2 (PI)) u2)))
28.0ms
u1
@-inf
((+ (* (* (cos (* u2 (* (PI) 2))) 1/6) (sqrt (* (log u1) -2))) 1/2) (* (cos (* u2 (* (PI) 2))) 1/6) (cos (* u2 (* (PI) 2))) (* u2 (* (PI) 2)) (* (neg (log u1)) 2) (+ (* (* (cos (* (* 2 (PI)) u2)) 1/6) (pow (* -2 (log u1)) 1/2)) 1/2) (* (cos (* (* 2 (PI)) u2)) 1/6) (cos (* (* 2 (PI)) u2)) (/ 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)) (+ (* (* 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)) (pow (* -2 (log u1)) 1/2) (pow (pow (* (log u1) -2) 1/4) 2) (+ (* (* (/ 1 6) (pow (* -2 (log u1)) 1/2)) (cos (* (* 2 (PI)) u2))) 1/2) (+ (* (pow (pow (* (log u1) -2) 1/4) 2) 1/6) 1/2) (pow (* (log u1) -2) 1/4) (sqrt (* (log u1) -2)) (sqrt (* (neg (log u1)) 2)) (* (* u2 u2) -2) (cos (* (* 2 (PI)) u2)) (* (sqrt 2) (sqrt (neg (log u1)))) (sqrt (neg (log u1))) (cos (* (* 2 (PI)) u2)))
10.0ms
u2
@-inf
((+ (* (* (cos (* u2 (* (PI) 2))) 1/6) (sqrt (* (log u1) -2))) 1/2) (* (cos (* u2 (* (PI) 2))) 1/6) (cos (* u2 (* (PI) 2))) (* u2 (* (PI) 2)) (* (neg (log u1)) 2) (+ (* (* (cos (* (* 2 (PI)) u2)) 1/6) (pow (* -2 (log u1)) 1/2)) 1/2) (* (cos (* (* 2 (PI)) u2)) 1/6) (cos (* (* 2 (PI)) u2)) (/ 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)) (+ (* (* 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)) (pow (* -2 (log u1)) 1/2) (pow (pow (* (log u1) -2) 1/4) 2) (+ (* (* (/ 1 6) (pow (* -2 (log u1)) 1/2)) (cos (* (* 2 (PI)) u2))) 1/2) (+ (* (pow (pow (* (log u1) -2) 1/4) 2) 1/6) 1/2) (pow (* (log u1) -2) 1/4) (sqrt (* (log u1) -2)) (sqrt (* (neg (log u1)) 2)) (* (* u2 u2) -2) (cos (* (* 2 (PI)) u2)) (* (sqrt 2) (sqrt (neg (log u1)))) (sqrt (neg (log u1))) (cos (* (* 2 (PI)) u2)))
8.0ms
u2
@inf
((+ (* (* (cos (* u2 (* (PI) 2))) 1/6) (sqrt (* (log u1) -2))) 1/2) (* (cos (* u2 (* (PI) 2))) 1/6) (cos (* u2 (* (PI) 2))) (* u2 (* (PI) 2)) (* (neg (log u1)) 2) (+ (* (* (cos (* (* 2 (PI)) u2)) 1/6) (pow (* -2 (log u1)) 1/2)) 1/2) (* (cos (* (* 2 (PI)) u2)) 1/6) (cos (* (* 2 (PI)) u2)) (/ 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)) (+ (* (* 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)) (pow (* -2 (log u1)) 1/2) (pow (pow (* (log u1) -2) 1/4) 2) (+ (* (* (/ 1 6) (pow (* -2 (log u1)) 1/2)) (cos (* (* 2 (PI)) u2))) 1/2) (+ (* (pow (pow (* (log u1) -2) 1/4) 2) 1/6) 1/2) (pow (* (log u1) -2) 1/4) (sqrt (* (log u1) -2)) (sqrt (* (neg (log u1)) 2)) (* (* u2 u2) -2) (cos (* (* 2 (PI)) u2)) (* (sqrt 2) (sqrt (neg (log u1)))) (sqrt (neg (log u1))) (cos (* (* 2 (PI)) u2)))

simplify169.0ms (1.6%)

Memory
43.4MiB live, 219.8MiB allocated; 38ms collecting garbage
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0136740
1423709
21653679
34700659
08506626
Stop Event
iter limit
node limit
Counts
46 → 46
Calls
Call 1
Inputs
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))))
(* -2 (log u1))
(* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1))))
(* 1/6 (* (sqrt (log u1)) (sqrt -2)))
(* (sqrt (log u1)) (sqrt -2))
(+ 1/2 (* 1/6 (* (sqrt (log u1)) (sqrt -2))))
(pow (* -2 (log u1)) 1/4)
(* (sqrt (log u1)) (* (sqrt -1) (sqrt 2)))
(* (sqrt (log u1)) (sqrt -1))
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -2) (sqrt -1))) (sqrt (log (/ 1 u1))))))
(* 2 (log (/ 1 u1)))
(* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -2) (sqrt -1))) (sqrt (log (/ 1 u1)))))
(* 1/6 (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1))))
(* (sqrt (log (/ 1 u1))) (sqrt 2))
(+ 1/2 (* 1/6 (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1)))))
(pow (* 2 (log (/ 1 u1))) 1/4)
(* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1)))
(* (sqrt (log (/ 1 u1))) (* (pow (sqrt -1) 2) (sqrt 2)))
(* (sqrt (log (/ 1 u1))) (pow (sqrt -1) 2))
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))))
(* -2 (+ (log -1) (* -1 (log (/ -1 u1)))))
(* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))))
(* 1/6 (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))))
(* (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 -1) (* -1 (log (/ -1 u1))))) 1/4)
(* (* (sqrt -1) (sqrt 2)) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))
(* (sqrt -1) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))
(+ 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))))))))))
1/6
(+ 1/6 (* -1/3 (* (pow u2 2) (pow (PI) 2))))
(+ 1/6 (* (pow u2 2) (+ (* -1/3 (pow (PI) 2)) (* 1/9 (* (pow u2 2) (pow (PI) 4))))))
(+ 1/6 (* (pow u2 2) (+ (* -1/3 (pow (PI) 2)) (* (pow u2 2) (+ (* -2/135 (* (pow u2 2) (pow (PI) 6))) (* 1/9 (pow (PI) 4)))))))
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)))))))
(* 2 (* u2 (PI)))
(+ (* -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)))))))))
(* -2 (pow u2 2))
(* 1/6 (cos (* 2 (* u2 (PI)))))
(cos (* 2 (* u2 (PI))))
Outputs
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))))
(fma.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -2 binary64)) #s(literal 1/6 binary64)) (cos.f64 (*.f64 (*.f64 (PI.f64) u2) #s(literal -2 binary64)))) (sqrt.f64 (log.f64 u1)) #s(literal 1/2 binary64))
(* -2 (log u1))
(*.f64 (log.f64 u1) #s(literal -2 binary64))
(* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1))))
(*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -2 binary64)) #s(literal 1/6 binary64)) (cos.f64 (*.f64 (*.f64 (PI.f64) u2) #s(literal -2 binary64)))) (sqrt.f64 (log.f64 u1)))
(* 1/6 (* (sqrt (log u1)) (sqrt -2)))
(*.f64 (*.f64 (sqrt.f64 #s(literal -2 binary64)) #s(literal 1/6 binary64)) (sqrt.f64 (log.f64 u1)))
(* (sqrt (log u1)) (sqrt -2))
(*.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 #s(literal -2 binary64)))
(+ 1/2 (* 1/6 (* (sqrt (log u1)) (sqrt -2))))
(fma.f64 (*.f64 (sqrt.f64 #s(literal -2 binary64)) #s(literal 1/6 binary64)) (sqrt.f64 (log.f64 u1)) #s(literal 1/2 binary64))
(pow (* -2 (log u1)) 1/4)
(pow.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)) #s(literal 1/4 binary64))
(* (sqrt (log u1)) (* (sqrt -1) (sqrt 2)))
(*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (log.f64 u1))) (sqrt.f64 #s(literal -1 binary64)))
(* (sqrt (log u1)) (sqrt -1))
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (log.f64 u1)))
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -2) (sqrt -1))) (sqrt (log (/ 1 u1))))))
(fma.f64 (*.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) #s(literal 1/6 binary64)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 (sqrt.f64 #s(literal -2 binary64)) (cos.f64 (*.f64 (*.f64 (PI.f64) u2) #s(literal -2 binary64))))) #s(literal 1/2 binary64))
(* 2 (log (/ 1 u1)))
(*.f64 (log.f64 u1) #s(literal -2 binary64))
(* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -2) (sqrt -1))) (sqrt (log (/ 1 u1)))))
(*.f64 (*.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) #s(literal 1/6 binary64)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 (sqrt.f64 #s(literal -2 binary64)) (cos.f64 (*.f64 (*.f64 (PI.f64) u2) #s(literal -2 binary64))))))
(* 1/6 (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1))))
(*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 1/6 binary64)) (*.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (sqrt.f64 #s(literal -2 binary64))))
(* (sqrt (log (/ 1 u1))) (sqrt 2))
(*.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (sqrt.f64 #s(literal 2 binary64)))
(+ 1/2 (* 1/6 (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1)))))
(fma.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 1/6 binary64)) (*.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (sqrt.f64 #s(literal -2 binary64))) #s(literal 1/2 binary64))
(pow (* 2 (log (/ 1 u1))) 1/4)
(pow.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)) #s(literal 1/4 binary64))
(* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1)))
(*.f64 (*.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal -2 binary64)))
(* (sqrt (log (/ 1 u1))) (* (pow (sqrt -1) 2) (sqrt 2)))
(*.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (neg.f64 (log.f64 u1))))
(* (sqrt (log (/ 1 u1))) (pow (sqrt -1) 2))
(neg.f64 (sqrt.f64 (neg.f64 (log.f64 u1))))
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))))
(fma.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -2 binary64)) #s(literal 1/6 binary64)) (cos.f64 (*.f64 (*.f64 (PI.f64) u2) #s(literal -2 binary64)))) (sqrt.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) u1)))) #s(literal 1/2 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))
(* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))))
(*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -2 binary64)) #s(literal 1/6 binary64)) (cos.f64 (*.f64 (*.f64 (PI.f64) u2) #s(literal -2 binary64)))) (sqrt.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) u1)))))
(* 1/6 (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))))
(*.f64 (*.f64 (sqrt.f64 #s(literal -2 binary64)) #s(literal 1/6 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 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) u1)))) (sqrt.f64 #s(literal -2 binary64)))
(+ 1/2 (* 1/6 (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))))
(fma.f64 (*.f64 (sqrt.f64 #s(literal -2 binary64)) #s(literal 1/6 binary64)) (sqrt.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) u1)))) #s(literal 1/2 binary64))
(pow (* -2 (+ (log -1) (* -1 (log (/ -1 u1))))) 1/4)
(pow.f64 (*.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) u1))) #s(literal -2 binary64)) #s(literal 1/4 binary64))
(* (* (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 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64))))
(* (sqrt -1) (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 -1 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 (*.f64 u2 u2) #s(literal -1/3 binary64)) (*.f64 (PI.f64) (PI.f64)) #s(literal 1/6 binary64))) #s(literal 1/2 binary64))
(+ 1/2 (+ (* 1/6 (* (sqrt (log u1)) (sqrt -2))) (* (pow u2 2) (+ (* -1/3 (* (* (pow (PI) 2) (sqrt -2)) (sqrt (log u1)))) (* 1/9 (* (* (pow u2 2) (* (pow (PI) 4) (sqrt -2))) (sqrt (log u1))))))))
(fma.f64 (sqrt.f64 (log.f64 u1)) (fma.f64 (*.f64 u2 u2) (*.f64 (sqrt.f64 #s(literal -2 binary64)) (fma.f64 (*.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 4 binary64)) #s(literal 1/9 binary64)) u2) u2 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal -1/3 binary64)))) (*.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))) (* (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 (pow.f64 u2 #s(literal 4 binary64)) (*.f64 (*.f64 (sqrt.f64 #s(literal -2 binary64)) (fma.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 6 binary64)) #s(literal -2/135 binary64)) (*.f64 u2 u2) (*.f64 (pow.f64 (PI.f64) #s(literal 4 binary64)) #s(literal 1/9 binary64)))) (sqrt.f64 (log.f64 u1))) (fma.f64 (sqrt.f64 (log.f64 u1)) (*.f64 (sqrt.f64 #s(literal -2 binary64)) (fma.f64 (*.f64 (*.f64 u2 u2) #s(literal -1/3 binary64)) (*.f64 (PI.f64) (PI.f64)) #s(literal 1/6 binary64))) #s(literal 1/2 binary64)))
1/6
#s(literal 1/6 binary64)
(+ 1/6 (* -1/3 (* (pow u2 2) (pow (PI) 2))))
(fma.f64 (*.f64 (*.f64 u2 u2) #s(literal -1/3 binary64)) (*.f64 (PI.f64) (PI.f64)) #s(literal 1/6 binary64))
(+ 1/6 (* (pow u2 2) (+ (* -1/3 (pow (PI) 2)) (* 1/9 (* (pow u2 2) (pow (PI) 4))))))
(fma.f64 (fma.f64 (*.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 4 binary64)) #s(literal 1/9 binary64)) u2) u2 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal -1/3 binary64))) (*.f64 u2 u2) #s(literal 1/6 binary64))
(+ 1/6 (* (pow u2 2) (+ (* -1/3 (pow (PI) 2)) (* (pow u2 2) (+ (* -2/135 (* (pow u2 2) (pow (PI) 6))) (* 1/9 (pow (PI) 4)))))))
(fma.f64 (pow.f64 u2 #s(literal 4 binary64)) (fma.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 6 binary64)) #s(literal -2/135 binary64)) (*.f64 u2 u2) (*.f64 (pow.f64 (PI.f64) #s(literal 4 binary64)) #s(literal 1/9 binary64))) (fma.f64 (*.f64 (*.f64 u2 u2) #s(literal -1/3 binary64)) (*.f64 (PI.f64) (PI.f64)) #s(literal 1/6 binary64)))
1
#s(literal 1 binary64)
(+ 1 (* -2 (* (pow u2 2) (pow (PI) 2))))
(fma.f64 (*.f64 (*.f64 u2 u2) #s(literal -2 binary64)) (*.f64 (PI.f64) (PI.f64)) #s(literal 1 binary64))
(+ 1 (* (pow u2 2) (+ (* -2 (pow (PI) 2)) (* 2/3 (* (pow u2 2) (pow (PI) 4))))))
(fma.f64 (fma.f64 (*.f64 #s(literal -2 binary64) (PI.f64)) (PI.f64) (*.f64 (*.f64 (*.f64 #s(literal 2/3 binary64) (pow.f64 (PI.f64) #s(literal 4 binary64))) u2) u2)) (*.f64 u2 u2) #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 (pow.f64 u2 #s(literal 4 binary64)) (fma.f64 (*.f64 #s(literal -4/45 binary64) (pow.f64 (PI.f64) #s(literal 6 binary64))) (*.f64 u2 u2) (*.f64 #s(literal 2/3 binary64) (pow.f64 (PI.f64) #s(literal 4 binary64)))) (fma.f64 (*.f64 (*.f64 u2 u2) #s(literal -2 binary64)) (*.f64 (PI.f64) (PI.f64)) #s(literal 1 binary64)))
(* 2 (* u2 (PI)))
(*.f64 (*.f64 (PI.f64) u2) #s(literal 2 binary64))
(+ (* -1/3 (* (* (pow u2 2) (* (pow (PI) 2) (sqrt -2))) (sqrt (log u1)))) (* 1/6 (* (sqrt (log u1)) (sqrt -2))))
(*.f64 (sqrt.f64 (log.f64 u1)) (*.f64 (sqrt.f64 #s(literal -2 binary64)) (fma.f64 (*.f64 (*.f64 u2 u2) #s(literal -1/3 binary64)) (*.f64 (PI.f64) (PI.f64)) #s(literal 1/6 binary64))))
(+ (* 1/6 (* (sqrt (log u1)) (sqrt -2))) (* (pow u2 2) (+ (* -1/3 (* (* (pow (PI) 2) (sqrt -2)) (sqrt (log u1)))) (* 1/9 (* (* (pow u2 2) (* (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 (*.f64 (pow.f64 (PI.f64) #s(literal 4 binary64)) #s(literal 1/9 binary64)) u2) u2 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal -1/3 binary64)))) (*.f64 (sqrt.f64 #s(literal -2 binary64)) #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)))))))))
(fma.f64 (pow.f64 u2 #s(literal 4 binary64)) (*.f64 (*.f64 (sqrt.f64 #s(literal -2 binary64)) (fma.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 6 binary64)) #s(literal -2/135 binary64)) (*.f64 u2 u2) (*.f64 (pow.f64 (PI.f64) #s(literal 4 binary64)) #s(literal 1/9 binary64)))) (sqrt.f64 (log.f64 u1))) (*.f64 (sqrt.f64 (log.f64 u1)) (*.f64 (sqrt.f64 #s(literal -2 binary64)) (fma.f64 (*.f64 (*.f64 u2 u2) #s(literal -1/3 binary64)) (*.f64 (PI.f64) (PI.f64)) #s(literal 1/6 binary64)))))
(* -2 (pow u2 2))
(*.f64 (*.f64 u2 u2) #s(literal -2 binary64))
(* 1/6 (cos (* 2 (* u2 (PI)))))
(*.f64 (cos.f64 (*.f64 (*.f64 (PI.f64) u2) #s(literal -2 binary64))) #s(literal 1/6 binary64))
(cos (* 2 (* u2 (PI))))
(cos.f64 (*.f64 (*.f64 (PI.f64) u2) #s(literal -2 binary64)))

rewrite162.0ms (1.5%)

Memory
-15.4MiB live, 146.5MiB allocated; 37ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
058384
096354
1349339
01812332
Stop Event
iter limit
iter limit
node limit
iter limit
Counts
27 → 403
Calls
Call 1
Inputs
(fma.f64 (*.f64 (cos.f64 (*.f64 u2 (*.f64 (PI.f64) #s(literal 2 binary64)))) #s(literal 1/6 binary64)) (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal 1/2 binary64))
(*.f64 (cos.f64 (*.f64 u2 (*.f64 (PI.f64) #s(literal 2 binary64)))) #s(literal 1/6 binary64))
(cos.f64 (*.f64 u2 (*.f64 (PI.f64) #s(literal 2 binary64))))
(*.f64 u2 (*.f64 (PI.f64) #s(literal 2 binary64)))
(*.f64 (neg.f64 (log.f64 u1)) #s(literal 2 binary64))
(fma.f64 (*.f64 #s(approx (cos (* (* 2 (PI)) u2)) (fma.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (*.f64 u2 u2) #s(literal -2 binary64)) #s(literal 1 binary64))) #s(literal 1/6 binary64)) #s(approx (pow (* -2 (log u1)) 1/2) (sqrt.f64 (*.f64 (neg.f64 (log.f64 u1)) #s(literal 2 binary64)))) #s(literal 1/2 binary64))
(*.f64 #s(approx (cos (* (* 2 (PI)) u2)) (fma.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (*.f64 u2 u2) #s(literal -2 binary64)) #s(literal 1 binary64))) #s(literal 1/6 binary64))
#s(approx (cos (* (* 2 (PI)) u2)) (fma.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (*.f64 u2 u2) #s(literal -2 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) #s(literal 6 binary64))
(+.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) #s(approx (pow (* -2 (log u1)) 1/2) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (neg.f64 (log.f64 u1)))))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary64))) #s(literal 1/2 binary64))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) #s(approx (pow (* -2 (log u1)) 1/2) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (neg.f64 (log.f64 u1)))))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) #s(approx (pow (* -2 (log u1)) 1/2) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (neg.f64 (log.f64 u1))))))
(+.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) #s(approx (pow (* -2 (log u1)) 1/2) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (neg.f64 (log.f64 u1)))))) #s(approx (cos (* (* 2 (PI)) u2)) (fma.f64 (*.f64 (*.f64 u2 u2) #s(literal -2 binary64)) (*.f64 (PI.f64) (PI.f64)) #s(literal 1 binary64)))) #s(literal 1/2 binary64))
(*.f64 (*.f64 #s(literal 1/6 binary64) #s(approx (pow (* -2 (log u1)) 1/2) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (neg.f64 (log.f64 u1)))))) #s(approx (cos (* (* 2 (PI)) u2)) (fma.f64 (*.f64 (*.f64 u2 u2) #s(literal -2 binary64)) (*.f64 (PI.f64) (PI.f64)) #s(literal 1 binary64))))
(*.f64 #s(literal 1/6 binary64) #s(approx (pow (* -2 (log u1)) 1/2) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (neg.f64 (log.f64 u1))))))
#s(approx (pow (* -2 (log u1)) 1/2) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (neg.f64 (log.f64 u1)))))
(pow.f64 (pow.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)) #s(literal 1/4 binary64)) #s(literal 2 binary64))
#s(approx (+ (* (* (/ 1 6) (pow (* -2 (log u1)) 1/2)) (cos (* (* 2 (PI)) u2))) 1/2) (fma.f64 (pow.f64 (pow.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)) #s(literal 1/4 binary64)) #s(literal 2 binary64)) #s(literal 1/6 binary64) #s(literal 1/2 binary64)))
(fma.f64 (pow.f64 (pow.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)) #s(literal 1/4 binary64)) #s(literal 2 binary64)) #s(literal 1/6 binary64) #s(literal 1/2 binary64))
(pow.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)) #s(literal 1/4 binary64))
(sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)))
(sqrt.f64 (*.f64 (neg.f64 (log.f64 u1)) #s(literal 2 binary64)))
(*.f64 (*.f64 u2 u2) #s(literal -2 binary64))
#s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary64))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (neg.f64 (log.f64 u1))))
(sqrt.f64 (neg.f64 (log.f64 u1)))
#s(approx (cos (* (* 2 (PI)) u2)) (fma.f64 (*.f64 (*.f64 u2 u2) #s(literal -2 binary64)) (*.f64 (PI.f64) (PI.f64)) #s(literal 1 binary64)))
Outputs
(/.f64 (-.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 (*.f64 (cos.f64 (*.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) u2)) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)))) #s(literal 1/6 binary64)) #s(literal 2 binary64))) (-.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (cos.f64 (*.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) u2)) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)))) #s(literal 1/6 binary64))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (cos.f64 (*.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) u2)) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)))) #s(literal 1/6 binary64)) #s(literal 2 binary64)) #s(literal 1/4 binary64))) (neg.f64 (fma.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal 1/6 binary64)) (cos.f64 (*.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) u2)) #s(literal -1/2 binary64))))
(/.f64 (neg.f64 (+.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 (*.f64 (cos.f64 (*.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) u2)) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)))) #s(literal 1/6 binary64)) #s(literal 3 binary64)))) (neg.f64 (+.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 (cos.f64 (*.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) u2)) (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal 1/12 binary64)))) (pow.f64 (*.f64 (*.f64 (cos.f64 (*.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) u2)) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)))) #s(literal 1/6 binary64)) #s(literal 2 binary64)))))
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(pow.f64 (neg.f64 (log.f64 u1)) #s(literal 1/2 binary64))
(sqrt.f64 (neg.f64 (log.f64 u1)))
(exp.f64 (*.f64 (log.f64 (neg.f64 (log.f64 u1))) #s(literal 1/2 binary64)))
(*.f64 #s(approx (cos (* (* 2 (PI)) u2)) (fma.f64 (pow.f64 (*.f64 (PI.f64) u2) #s(literal 2 binary64)) #s(literal -2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) #s(approx (cos (* (* 2 (PI)) u2)) (fma.f64 (pow.f64 (*.f64 (PI.f64) u2) #s(literal 2 binary64)) #s(literal -2 binary64) #s(literal 1 binary64))))
#s(approx (cos (* (* 2 (PI)) u2)) (fma.f64 (pow.f64 (*.f64 (PI.f64) u2) #s(literal 2 binary64)) #s(literal -2 binary64) #s(literal 1 binary64)))
(/.f64 (*.f64 #s(approx (cos (* (* 2 (PI)) u2)) (fma.f64 (pow.f64 (*.f64 (PI.f64) u2) #s(literal 2 binary64)) #s(literal -2 binary64) #s(literal 1 binary64))) #s(literal 2 binary64)) #s(literal 2 binary64))

eval45.0ms (0.4%)

Memory
-23.7MiB live, 77.8MiB allocated; 6ms collecting garbage
Compiler

Compiled 11 431 to 1 224 computations (89.3% saved)

prune27.0ms (0.3%)

Memory
-10.1MiB live, 36.8MiB allocated; 1ms collecting garbage
Pruning

17 alts after pruning (11 fresh and 6 done)

PrunedKeptTotal
New3315336
Fresh167
Picked235
Done033
Total33417351
Accuracy
100.0%
Counts
351 → 17
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.1%
(fma.f64 (/.f64 (pow.f64 (pow.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)) #s(literal 1/4 binary64)) #s(literal 2 binary64)) #s(literal 6 binary64)) (cos.f64 (*.f64 u2 (*.f64 (PI.f64) #s(literal 2 binary64)))) #s(literal 1/2 binary64))
99.3%
(fma.f64 (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal 1/6 binary64)) (cos.f64 (*.f64 u2 (*.f64 (PI.f64) #s(literal 2 binary64)))) #s(literal 1/2 binary64))
99.4%
(fma.f64 (*.f64 (cos.f64 (*.f64 u2 (*.f64 (PI.f64) #s(literal 2 binary64)))) #s(literal 1/6 binary64)) (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal 1/2 binary64))
98.2%
(fma.f64 (*.f64 #s(approx (pow (* -2 (log u1)) 1/2) (sqrt.f64 (*.f64 (neg.f64 (log.f64 u1)) #s(literal 2 binary64)))) #s(literal 1/6 binary64)) #s(approx (cos (* (* 2 (PI)) u2)) (fma.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (*.f64 u2 u2) #s(literal -2 binary64)) #s(literal 1 binary64))) #s(literal 1/2 binary64))
98.2%
(fma.f64 (*.f64 #s(approx (cos (* (* 2 (PI)) u2)) (fma.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (*.f64 u2 u2) #s(literal -2 binary64)) #s(literal 1 binary64))) #s(literal 1/6 binary64)) #s(approx (pow (* -2 (log u1)) 1/2) (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)))) #s(literal 1/2 binary64))
98.2%
(fma.f64 #s(approx (* (cos (* u2 (* (PI) 2))) 1/6) (fma.f64 (*.f64 (*.f64 u2 u2) #s(literal -1/3 binary64)) (*.f64 (PI.f64) (PI.f64)) #s(literal 1/6 binary64))) (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal 1/2 binary64))
98.3%
(+.f64 (/.f64 (*.f64 #s(approx (cos (* (* 2 (PI)) u2)) (fma.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (*.f64 u2 u2) #s(literal -2 binary64)) #s(literal 1 binary64))) #s(approx (pow (* -2 (log u1)) 1/2) (sqrt.f64 (*.f64 (neg.f64 (log.f64 u1)) #s(literal 2 binary64))))) #s(literal 6 binary64)) #s(literal 1/2 binary64))
97.6%
(+.f64 (/.f64 (*.f64 #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary64)) #s(approx (pow (* -2 (log u1)) 1/2) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))))) #s(literal 6 binary64)) #s(literal 1/2 binary64))
96.7%
(+.f64 (*.f64 (*.f64 (exp.f64 (*.f64 (log.f64 #s(literal 6 binary64)) #s(literal -1 binary64))) #s(approx (pow (* -2 (log u1)) 1/2) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (neg.f64 (log.f64 u1)))))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary64))) #s(literal 1/2 binary64))
99.6%
(+.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) #s(approx (pow (* -2 (log u1)) 1/2) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (neg.f64 (log.f64 u1)))))) (cos.f64 (*.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) u2))) #s(literal 1/2 binary64))
98.4%
(+.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) #s(approx (pow (* -2 (log u1)) 1/2) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (neg.f64 (log.f64 u1)))))) #s(approx (cos (* (* 2 (PI)) u2)) (fma.f64 (*.f64 (*.f64 u2 u2) #s(literal -2 binary64)) (*.f64 (PI.f64) (PI.f64)) #s(literal 1 binary64)))) #s(literal 1/2 binary64))
97.2%
#s(approx (+ (* (* (/ 1 6) (pow (* -2 (log u1)) 1/2)) (cos (* (* 2 (PI)) u2))) 1/2) (fma.f64 (pow.f64 (pow.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)) #s(literal 1/4 binary64)) #s(literal 2 binary64)) #s(literal 1/6 binary64) #s(literal 1/2 binary64)))
97.7%
#s(approx (+ (* (* (/ 1 6) (pow (* -2 (log u1)) 1/2)) (cos (* (* 2 (PI)) u2))) 1/2) (fma.f64 (*.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/6 binary64) #s(literal 1/2 binary64)))
97.5%
#s(approx (+ (* (* (/ 1 6) (pow (* -2 (log u1)) 1/2)) (cos (* (* 2 (PI)) u2))) 1/2) (fma.f64 (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal 1/6 binary64) #s(literal 1/2 binary64)))
97.2%
#s(approx (+ (* (* (/ 1 6) (pow (* -2 (log u1)) 1/2)) (cos (* (* 2 (PI)) u2))) 1/2) (fma.f64 (exp.f64 (*.f64 (log.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal 1/2 binary64))) #s(literal 1/6 binary64) #s(literal 1/2 binary64)))
97.2%
#s(approx (+ (* (* (/ 1 6) (pow (* -2 (log u1)) 1/2)) (cos (* (* 2 (PI)) u2))) 1/2) (/.f64 (-.f64 (/.f64 (pow.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)) #s(literal 1 binary64)) #s(literal 36 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))))
97.5%
#s(approx (+ (* (* (/ 1 6) (pow (* -2 (log u1)) 1/2)) (cos (* (* 2 (PI)) u2))) 1/2) (/.f64 (-.f64 #s(approx (pow (* (sqrt (* (log u1) -2)) 1/6) 2) (*.f64 #s(literal -1/18 binary64) (log.f64 u1))) #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))))
Compiler

Compiled 1 551 to 632 computations (59.3% saved)

regimes94.0ms (0.9%)

Memory
40.3MiB live, 130.6MiB allocated; 8ms collecting garbage
Counts
36 → 1
Calls
Call 1
Inputs
#s(approx (+ (* (* (/ 1 6) (pow (* -2 (log u1)) 1/2)) (cos (* (* 2 (PI)) u2))) 1/2) (fma.f64 (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal 1/6 binary64) #s(literal 1/2 binary64)))
#s(approx (+ (* (* (/ 1 6) (pow (* -2 (log u1)) 1/2)) (cos (* (* 2 (PI)) u2))) 1/2) (fma.f64 (*.f64 (sqrt.f64 #s(literal -2 binary64)) #s(literal 1/6 binary64)) (sqrt.f64 (log.f64 u1)) #s(literal 1/2 binary64)))
#s(approx (+ (* (* (/ 1 6) (pow (* -2 (log u1)) 1/2)) (cos (* (* 2 (PI)) u2))) 1/2) (fma.f64 (*.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/6 binary64) #s(literal 1/2 binary64)))
(+.f64 (/.f64 (*.f64 #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary64)) #s(approx (pow (* -2 (log u1)) 1/2) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))))) #s(literal 6 binary64)) #s(literal 1/2 binary64))
(fma.f64 #s(approx (* (cos (* u2 (* (PI) 2))) 1/6) (fma.f64 (*.f64 (*.f64 u2 u2) #s(literal -1/3 binary64)) (*.f64 (PI.f64) (PI.f64)) #s(literal 1/6 binary64))) (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal 1/2 binary64))
(fma.f64 (*.f64 #s(approx (cos (* (* 2 (PI)) u2)) (fma.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (*.f64 u2 u2) #s(literal -2 binary64)) #s(literal 1 binary64))) #s(literal 1/6 binary64)) #s(approx (pow (* -2 (log u1)) 1/2) (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)))) #s(literal 1/2 binary64))
(fma.f64 (*.f64 #s(approx (cos (* (* 2 (PI)) u2)) (fma.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (*.f64 u2 u2) #s(literal -2 binary64)) #s(literal 1 binary64))) #s(literal 1/6 binary64)) #s(approx (pow (* -2 (log u1)) 1/2) (sqrt.f64 (*.f64 (neg.f64 (log.f64 u1)) #s(literal 2 binary64)))) #s(literal 1/2 binary64))
(fma.f64 (*.f64 #s(approx (pow (* -2 (log u1)) 1/2) (sqrt.f64 (*.f64 (neg.f64 (log.f64 u1)) #s(literal 2 binary64)))) #s(literal 1/6 binary64)) #s(approx (cos (* (* 2 (PI)) u2)) (fma.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (*.f64 u2 u2) #s(literal -2 binary64)) #s(literal 1 binary64))) #s(literal 1/2 binary64))
(+.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) #s(approx (pow (* -2 (log u1)) 1/2) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (neg.f64 (log.f64 u1)))))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary64))) #s(literal 1/2 binary64))
(+.f64 (/.f64 (*.f64 #s(approx (cos (* (* 2 (PI)) u2)) (fma.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (*.f64 u2 u2) #s(literal -2 binary64)) #s(literal 1 binary64))) #s(approx (pow (* -2 (log u1)) 1/2) (sqrt.f64 (*.f64 (neg.f64 (log.f64 u1)) #s(literal 2 binary64))))) #s(literal 6 binary64)) #s(literal 1/2 binary64))
(+.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) #s(approx (pow (* -2 (log u1)) 1/2) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (neg.f64 (log.f64 u1)))))) #s(approx (cos (* (* 2 (PI)) u2)) (fma.f64 (*.f64 (*.f64 u2 u2) #s(literal -2 binary64)) (*.f64 (PI.f64) (PI.f64)) #s(literal 1 binary64)))) #s(literal 1/2 binary64))
(+.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) #s(approx (pow (* -2 (log u1)) 1/2) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (neg.f64 (log.f64 u1)))))) #s(approx (cos (* (* 2 (PI)) u2)) (fma.f64 (*.f64 (*.f64 u2 u2) #s(literal -2 binary64)) (*.f64 (PI.f64) (PI.f64)) #s(literal 1 binary64)))) #s(literal 1/2 binary64))
(fma.f64 (*.f64 (cos.f64 (*.f64 u2 (*.f64 (PI.f64) #s(literal 2 binary64)))) #s(literal 1/6 binary64)) (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))) #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 u2 (*.f64 (PI.f64) #s(literal 2 binary64)))) #s(literal 1/2 binary64))
#s(approx (+ (* (* (/ 1 6) (pow (* -2 (log u1)) 1/2)) (cos (* (* 2 (PI)) u2))) 1/2) (/.f64 (-.f64 #s(approx (pow (* (sqrt (* (log u1) -2)) 1/6) 2) (*.f64 #s(literal -1/18 binary64) (log.f64 u1))) #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))))
(fma.f64 (/.f64 (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal 6 binary64)) (cos.f64 (*.f64 u2 (*.f64 (PI.f64) #s(literal 2 binary64)))) #s(literal 1/2 binary64))
(+.f64 (/.f64 (*.f64 (cos.f64 (*.f64 u2 (*.f64 (PI.f64) #s(literal 2 binary64)))) (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)))) #s(literal 6 binary64)) #s(literal 1/2 binary64))
(+.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) #s(approx (pow (* -2 (log u1)) 1/2) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (neg.f64 (log.f64 u1)))))) (cos.f64 (*.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) u2))) #s(literal 1/2 binary64))
(+.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) #s(approx (pow (* -2 (log u1)) 1/2) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (neg.f64 (log.f64 u1)))))) (cos.f64 (*.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) u2))) #s(literal 1/2 binary64))
#s(approx (+ (* (* (/ 1 6) (pow (* -2 (log u1)) 1/2)) (cos (* (* 2 (PI)) u2))) 1/2) (fma.f64 (pow.f64 (pow.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)) #s(literal 1/4 binary64)) #s(literal 2 binary64)) #s(literal 1/6 binary64) #s(literal 1/2 binary64)))
#s(approx (+ (* (* (/ 1 6) (pow (* -2 (log u1)) 1/2)) (cos (* (* 2 (PI)) u2))) 1/2) (fma.f64 (exp.f64 (*.f64 (log.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal 1/2 binary64))) #s(literal 1/6 binary64) #s(literal 1/2 binary64)))
(+.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) (pow.f64 (pow.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)) #s(literal 1/4 binary64)) #s(literal 2 binary64))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary64))) #s(literal 1/2 binary64))
(+.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/2 binary64))) (cos.f64 (*.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) u2))) #s(literal 1/2 binary64))
(+.f64 (*.f64 (*.f64 (exp.f64 (*.f64 (log.f64 #s(literal 6 binary64)) #s(literal -1 binary64))) #s(approx (pow (* -2 (log u1)) 1/2) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (neg.f64 (log.f64 u1)))))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary64))) #s(literal 1/2 binary64))
#s(approx (+ (* (* (/ 1 6) (pow (* -2 (log u1)) 1/2)) (cos (* (* 2 (PI)) u2))) 1/2) (/.f64 (-.f64 (/.f64 (pow.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)) #s(literal 1 binary64)) #s(literal 36 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))))
#s(approx (+ (* (* (/ 1 6) (pow (* -2 (log u1)) 1/2)) (cos (* (* 2 (PI)) u2))) 1/2) (/.f64 (-.f64 (pow.f64 (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal 1/6 binary64)) #s(literal 2 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 (exp.f64 (*.f64 (log.f64 #s(literal 6 binary64)) #s(literal -1 binary64))) #s(approx (pow (* -2 (log u1)) 1/2) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (neg.f64 (log.f64 u1)))))) #s(approx (cos (* (* 2 (PI)) u2)) (fma.f64 (*.f64 (*.f64 u2 u2) #s(literal -2 binary64)) (*.f64 (PI.f64) (PI.f64)) #s(literal 1 binary64)))) #s(literal 1/2 binary64))
#s(approx (+ (* (* (/ 1 6) (pow (* -2 (log u1)) 1/2)) (cos (* (* 2 (PI)) u2))) 1/2) (fma.f64 (pow.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)) #s(literal 1/4 binary64)) (*.f64 (pow.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)) #s(literal 1/4 binary64)) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))
(+.f64 (*.f64 (*.f64 (exp.f64 (*.f64 (log.f64 #s(literal 6 binary64)) #s(literal -1 binary64))) (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/2 binary64))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary64))) #s(literal 1/2 binary64))
(fma.f64 (/.f64 (pow.f64 (pow.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)) #s(literal 1/4 binary64)) #s(literal 2 binary64)) #s(literal 6 binary64)) (cos.f64 (*.f64 u2 (*.f64 (PI.f64) #s(literal 2 binary64)))) #s(literal 1/2 binary64))
(+.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) (pow.f64 (pow.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)) #s(literal 1/4 binary64)) #s(literal 2 binary64))) (cos.f64 (*.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) u2))) #s(literal 1/2 binary64))
(+.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) (exp.f64 (*.f64 (log.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal 1/2 binary64)))) (cos.f64 (*.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) u2))) #s(literal 1/2 binary64))
#s(approx (+ (* (* (/ 1 6) (pow (* -2 (log u1)) 1/2)) (cos (* (* 2 (PI)) u2))) 1/2) (-.f64 (/.f64 (pow.f64 (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal 1/6 binary64)) #s(literal 2 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)))))
(+.f64 (*.f64 (*.f64 (exp.f64 (*.f64 (log.f64 #s(literal 6 binary64)) #s(literal -1 binary64))) (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/2 binary64))) (cos.f64 (*.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) u2))) #s(literal 1/2 binary64))
(+.f64 (*.f64 (*.f64 (pow.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)) #s(literal 1/4 binary64)) (*.f64 (pow.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)) #s(literal 1/4 binary64)) #s(literal 1/6 binary64))) (cos.f64 (*.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) u2))) #s(literal 1/2 binary64))
(-.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 u2 (*.f64 (PI.f64) #s(literal 2 binary64)))) (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal 1/6 binary64))) #s(literal 2 binary64)) (-.f64 (*.f64 (cos.f64 (*.f64 u2 (*.f64 (PI.f64) #s(literal 2 binary64)))) (*.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) (-.f64 (*.f64 (cos.f64 (*.f64 u2 (*.f64 (PI.f64) #s(literal 2 binary64)))) (*.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 #s(literal 1/6 binary64) #s(approx (pow (* -2 (log u1)) 1/2) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (neg.f64 (log.f64 u1)))))) (cos.f64 (*.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) u2))) #s(literal 1/2 binary64))
Calls

10 calls:

13.0ms
(log.f64 u1)
10.0ms
(pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/2 binary64))
9.0ms
(+.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/2 binary64))) (cos.f64 (*.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) u2))) #s(literal 1/2 binary64))
9.0ms
(*.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)))
9.0ms
(*.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
99.6%1(*.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) u2)
99.6%1(cos.f64 (*.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) u2))
99.6%1(log.f64 u1)
99.6%1(*.f64 #s(literal -2 binary64) (log.f64 u1))
99.6%1(pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/2 binary64))
99.6%1(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/2 binary64)))
99.6%1(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/2 binary64))) (cos.f64 (*.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) u2)))
99.6%1(+.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/2 binary64))) (cos.f64 (*.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) u2))) #s(literal 1/2 binary64))
99.6%1u1
99.6%1u2
Compiler

Compiled 71 to 78 computations (-9.9% saved)

regimes54.0ms (0.5%)

Memory
-0.1MiB live, 96.5MiB allocated; 9ms collecting garbage
Counts
17 → 1
Calls
Call 1
Inputs
#s(approx (+ (* (* (/ 1 6) (pow (* -2 (log u1)) 1/2)) (cos (* (* 2 (PI)) u2))) 1/2) (fma.f64 (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal 1/6 binary64) #s(literal 1/2 binary64)))
#s(approx (+ (* (* (/ 1 6) (pow (* -2 (log u1)) 1/2)) (cos (* (* 2 (PI)) u2))) 1/2) (fma.f64 (*.f64 (sqrt.f64 #s(literal -2 binary64)) #s(literal 1/6 binary64)) (sqrt.f64 (log.f64 u1)) #s(literal 1/2 binary64)))
#s(approx (+ (* (* (/ 1 6) (pow (* -2 (log u1)) 1/2)) (cos (* (* 2 (PI)) u2))) 1/2) (fma.f64 (*.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/6 binary64) #s(literal 1/2 binary64)))
(+.f64 (/.f64 (*.f64 #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary64)) #s(approx (pow (* -2 (log u1)) 1/2) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))))) #s(literal 6 binary64)) #s(literal 1/2 binary64))
(fma.f64 #s(approx (* (cos (* u2 (* (PI) 2))) 1/6) (fma.f64 (*.f64 (*.f64 u2 u2) #s(literal -1/3 binary64)) (*.f64 (PI.f64) (PI.f64)) #s(literal 1/6 binary64))) (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal 1/2 binary64))
(fma.f64 (*.f64 #s(approx (cos (* (* 2 (PI)) u2)) (fma.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (*.f64 u2 u2) #s(literal -2 binary64)) #s(literal 1 binary64))) #s(literal 1/6 binary64)) #s(approx (pow (* -2 (log u1)) 1/2) (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)))) #s(literal 1/2 binary64))
(fma.f64 (*.f64 #s(approx (cos (* (* 2 (PI)) u2)) (fma.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (*.f64 u2 u2) #s(literal -2 binary64)) #s(literal 1 binary64))) #s(literal 1/6 binary64)) #s(approx (pow (* -2 (log u1)) 1/2) (sqrt.f64 (*.f64 (neg.f64 (log.f64 u1)) #s(literal 2 binary64)))) #s(literal 1/2 binary64))
(fma.f64 (*.f64 #s(approx (pow (* -2 (log u1)) 1/2) (sqrt.f64 (*.f64 (neg.f64 (log.f64 u1)) #s(literal 2 binary64)))) #s(literal 1/6 binary64)) #s(approx (cos (* (* 2 (PI)) u2)) (fma.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (*.f64 u2 u2) #s(literal -2 binary64)) #s(literal 1 binary64))) #s(literal 1/2 binary64))
(+.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) #s(approx (pow (* -2 (log u1)) 1/2) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (neg.f64 (log.f64 u1)))))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary64))) #s(literal 1/2 binary64))
(+.f64 (/.f64 (*.f64 #s(approx (cos (* (* 2 (PI)) u2)) (fma.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (*.f64 u2 u2) #s(literal -2 binary64)) #s(literal 1 binary64))) #s(approx (pow (* -2 (log u1)) 1/2) (sqrt.f64 (*.f64 (neg.f64 (log.f64 u1)) #s(literal 2 binary64))))) #s(literal 6 binary64)) #s(literal 1/2 binary64))
(+.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) #s(approx (pow (* -2 (log u1)) 1/2) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (neg.f64 (log.f64 u1)))))) #s(approx (cos (* (* 2 (PI)) u2)) (fma.f64 (*.f64 (*.f64 u2 u2) #s(literal -2 binary64)) (*.f64 (PI.f64) (PI.f64)) #s(literal 1 binary64)))) #s(literal 1/2 binary64))
(+.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) #s(approx (pow (* -2 (log u1)) 1/2) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (neg.f64 (log.f64 u1)))))) #s(approx (cos (* (* 2 (PI)) u2)) (fma.f64 (*.f64 (*.f64 u2 u2) #s(literal -2 binary64)) (*.f64 (PI.f64) (PI.f64)) #s(literal 1 binary64)))) #s(literal 1/2 binary64))
(fma.f64 (*.f64 (cos.f64 (*.f64 u2 (*.f64 (PI.f64) #s(literal 2 binary64)))) #s(literal 1/6 binary64)) (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))) #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 u2 (*.f64 (PI.f64) #s(literal 2 binary64)))) #s(literal 1/2 binary64))
#s(approx (+ (* (* (/ 1 6) (pow (* -2 (log u1)) 1/2)) (cos (* (* 2 (PI)) u2))) 1/2) (/.f64 (-.f64 #s(approx (pow (* (sqrt (* (log u1) -2)) 1/6) 2) (*.f64 #s(literal -1/18 binary64) (log.f64 u1))) #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))))
(fma.f64 (/.f64 (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal 6 binary64)) (cos.f64 (*.f64 u2 (*.f64 (PI.f64) #s(literal 2 binary64)))) #s(literal 1/2 binary64))
(+.f64 (/.f64 (*.f64 (cos.f64 (*.f64 u2 (*.f64 (PI.f64) #s(literal 2 binary64)))) (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)))) #s(literal 6 binary64)) #s(literal 1/2 binary64))
Outputs
(+.f64 (/.f64 (*.f64 (cos.f64 (*.f64 u2 (*.f64 (PI.f64) #s(literal 2 binary64)))) (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)))) #s(literal 6 binary64)) #s(literal 1/2 binary64))
Calls

10 calls:

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

Compiled 71 to 78 computations (-9.9% saved)

regimes48.0ms (0.5%)

Memory
-11.4MiB live, 81.9MiB allocated; 4ms collecting garbage
Counts
16 → 1
Calls
Call 1
Inputs
#s(approx (+ (* (* (/ 1 6) (pow (* -2 (log u1)) 1/2)) (cos (* (* 2 (PI)) u2))) 1/2) (fma.f64 (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal 1/6 binary64) #s(literal 1/2 binary64)))
#s(approx (+ (* (* (/ 1 6) (pow (* -2 (log u1)) 1/2)) (cos (* (* 2 (PI)) u2))) 1/2) (fma.f64 (*.f64 (sqrt.f64 #s(literal -2 binary64)) #s(literal 1/6 binary64)) (sqrt.f64 (log.f64 u1)) #s(literal 1/2 binary64)))
#s(approx (+ (* (* (/ 1 6) (pow (* -2 (log u1)) 1/2)) (cos (* (* 2 (PI)) u2))) 1/2) (fma.f64 (*.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/6 binary64) #s(literal 1/2 binary64)))
(+.f64 (/.f64 (*.f64 #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary64)) #s(approx (pow (* -2 (log u1)) 1/2) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))))) #s(literal 6 binary64)) #s(literal 1/2 binary64))
(fma.f64 #s(approx (* (cos (* u2 (* (PI) 2))) 1/6) (fma.f64 (*.f64 (*.f64 u2 u2) #s(literal -1/3 binary64)) (*.f64 (PI.f64) (PI.f64)) #s(literal 1/6 binary64))) (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal 1/2 binary64))
(fma.f64 (*.f64 #s(approx (cos (* (* 2 (PI)) u2)) (fma.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (*.f64 u2 u2) #s(literal -2 binary64)) #s(literal 1 binary64))) #s(literal 1/6 binary64)) #s(approx (pow (* -2 (log u1)) 1/2) (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)))) #s(literal 1/2 binary64))
(fma.f64 (*.f64 #s(approx (cos (* (* 2 (PI)) u2)) (fma.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (*.f64 u2 u2) #s(literal -2 binary64)) #s(literal 1 binary64))) #s(literal 1/6 binary64)) #s(approx (pow (* -2 (log u1)) 1/2) (sqrt.f64 (*.f64 (neg.f64 (log.f64 u1)) #s(literal 2 binary64)))) #s(literal 1/2 binary64))
(fma.f64 (*.f64 #s(approx (pow (* -2 (log u1)) 1/2) (sqrt.f64 (*.f64 (neg.f64 (log.f64 u1)) #s(literal 2 binary64)))) #s(literal 1/6 binary64)) #s(approx (cos (* (* 2 (PI)) u2)) (fma.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (*.f64 u2 u2) #s(literal -2 binary64)) #s(literal 1 binary64))) #s(literal 1/2 binary64))
(+.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) #s(approx (pow (* -2 (log u1)) 1/2) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (neg.f64 (log.f64 u1)))))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary64))) #s(literal 1/2 binary64))
(+.f64 (/.f64 (*.f64 #s(approx (cos (* (* 2 (PI)) u2)) (fma.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (*.f64 u2 u2) #s(literal -2 binary64)) #s(literal 1 binary64))) #s(approx (pow (* -2 (log u1)) 1/2) (sqrt.f64 (*.f64 (neg.f64 (log.f64 u1)) #s(literal 2 binary64))))) #s(literal 6 binary64)) #s(literal 1/2 binary64))
(+.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) #s(approx (pow (* -2 (log u1)) 1/2) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (neg.f64 (log.f64 u1)))))) #s(approx (cos (* (* 2 (PI)) u2)) (fma.f64 (*.f64 (*.f64 u2 u2) #s(literal -2 binary64)) (*.f64 (PI.f64) (PI.f64)) #s(literal 1 binary64)))) #s(literal 1/2 binary64))
(+.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) #s(approx (pow (* -2 (log u1)) 1/2) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (neg.f64 (log.f64 u1)))))) #s(approx (cos (* (* 2 (PI)) u2)) (fma.f64 (*.f64 (*.f64 u2 u2) #s(literal -2 binary64)) (*.f64 (PI.f64) (PI.f64)) #s(literal 1 binary64)))) #s(literal 1/2 binary64))
(fma.f64 (*.f64 (cos.f64 (*.f64 u2 (*.f64 (PI.f64) #s(literal 2 binary64)))) #s(literal 1/6 binary64)) (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))) #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 u2 (*.f64 (PI.f64) #s(literal 2 binary64)))) #s(literal 1/2 binary64))
#s(approx (+ (* (* (/ 1 6) (pow (* -2 (log u1)) 1/2)) (cos (* (* 2 (PI)) u2))) 1/2) (/.f64 (-.f64 #s(approx (pow (* (sqrt (* (log u1) -2)) 1/6) 2) (*.f64 #s(literal -1/18 binary64) (log.f64 u1))) #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))))
(fma.f64 (/.f64 (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal 6 binary64)) (cos.f64 (*.f64 u2 (*.f64 (PI.f64) #s(literal 2 binary64)))) #s(literal 1/2 binary64))
Outputs
(fma.f64 (/.f64 (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal 6 binary64)) (cos.f64 (*.f64 u2 (*.f64 (PI.f64) #s(literal 2 binary64)))) #s(literal 1/2 binary64))
Calls

10 calls:

6.0ms
(*.f64 #s(literal -2 binary64) (log.f64 u1))
6.0ms
u1
5.0ms
(+.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))
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
(pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/2 binary64))
Results
AccuracySegmentsBranch
99.5%1(*.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) u2)
99.5%1(cos.f64 (*.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) u2))
99.5%1(log.f64 u1)
99.5%1(*.f64 #s(literal -2 binary64) (log.f64 u1))
99.5%1(pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/2 binary64))
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(*.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 (*.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%1u1
99.5%1u2
Compiler

Compiled 71 to 78 computations (-9.9% saved)

regimes50.0ms (0.5%)

Memory
18.2MiB live, 67.1MiB allocated; 9ms collecting garbage
Counts
15 → 1
Calls
Call 1
Inputs
#s(approx (+ (* (* (/ 1 6) (pow (* -2 (log u1)) 1/2)) (cos (* (* 2 (PI)) u2))) 1/2) (fma.f64 (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal 1/6 binary64) #s(literal 1/2 binary64)))
#s(approx (+ (* (* (/ 1 6) (pow (* -2 (log u1)) 1/2)) (cos (* (* 2 (PI)) u2))) 1/2) (fma.f64 (*.f64 (sqrt.f64 #s(literal -2 binary64)) #s(literal 1/6 binary64)) (sqrt.f64 (log.f64 u1)) #s(literal 1/2 binary64)))
#s(approx (+ (* (* (/ 1 6) (pow (* -2 (log u1)) 1/2)) (cos (* (* 2 (PI)) u2))) 1/2) (fma.f64 (*.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/6 binary64) #s(literal 1/2 binary64)))
(+.f64 (/.f64 (*.f64 #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary64)) #s(approx (pow (* -2 (log u1)) 1/2) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))))) #s(literal 6 binary64)) #s(literal 1/2 binary64))
(fma.f64 #s(approx (* (cos (* u2 (* (PI) 2))) 1/6) (fma.f64 (*.f64 (*.f64 u2 u2) #s(literal -1/3 binary64)) (*.f64 (PI.f64) (PI.f64)) #s(literal 1/6 binary64))) (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal 1/2 binary64))
(fma.f64 (*.f64 #s(approx (cos (* (* 2 (PI)) u2)) (fma.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (*.f64 u2 u2) #s(literal -2 binary64)) #s(literal 1 binary64))) #s(literal 1/6 binary64)) #s(approx (pow (* -2 (log u1)) 1/2) (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)))) #s(literal 1/2 binary64))
(fma.f64 (*.f64 #s(approx (cos (* (* 2 (PI)) u2)) (fma.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (*.f64 u2 u2) #s(literal -2 binary64)) #s(literal 1 binary64))) #s(literal 1/6 binary64)) #s(approx (pow (* -2 (log u1)) 1/2) (sqrt.f64 (*.f64 (neg.f64 (log.f64 u1)) #s(literal 2 binary64)))) #s(literal 1/2 binary64))
(fma.f64 (*.f64 #s(approx (pow (* -2 (log u1)) 1/2) (sqrt.f64 (*.f64 (neg.f64 (log.f64 u1)) #s(literal 2 binary64)))) #s(literal 1/6 binary64)) #s(approx (cos (* (* 2 (PI)) u2)) (fma.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (*.f64 u2 u2) #s(literal -2 binary64)) #s(literal 1 binary64))) #s(literal 1/2 binary64))
(+.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) #s(approx (pow (* -2 (log u1)) 1/2) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (neg.f64 (log.f64 u1)))))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary64))) #s(literal 1/2 binary64))
(+.f64 (/.f64 (*.f64 #s(approx (cos (* (* 2 (PI)) u2)) (fma.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (*.f64 u2 u2) #s(literal -2 binary64)) #s(literal 1 binary64))) #s(approx (pow (* -2 (log u1)) 1/2) (sqrt.f64 (*.f64 (neg.f64 (log.f64 u1)) #s(literal 2 binary64))))) #s(literal 6 binary64)) #s(literal 1/2 binary64))
(+.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) #s(approx (pow (* -2 (log u1)) 1/2) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (neg.f64 (log.f64 u1)))))) #s(approx (cos (* (* 2 (PI)) u2)) (fma.f64 (*.f64 (*.f64 u2 u2) #s(literal -2 binary64)) (*.f64 (PI.f64) (PI.f64)) #s(literal 1 binary64)))) #s(literal 1/2 binary64))
(+.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) #s(approx (pow (* -2 (log u1)) 1/2) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (neg.f64 (log.f64 u1)))))) #s(approx (cos (* (* 2 (PI)) u2)) (fma.f64 (*.f64 (*.f64 u2 u2) #s(literal -2 binary64)) (*.f64 (PI.f64) (PI.f64)) #s(literal 1 binary64)))) #s(literal 1/2 binary64))
(fma.f64 (*.f64 (cos.f64 (*.f64 u2 (*.f64 (PI.f64) #s(literal 2 binary64)))) #s(literal 1/6 binary64)) (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))) #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 u2 (*.f64 (PI.f64) #s(literal 2 binary64)))) #s(literal 1/2 binary64))
#s(approx (+ (* (* (/ 1 6) (pow (* -2 (log u1)) 1/2)) (cos (* (* 2 (PI)) u2))) 1/2) (/.f64 (-.f64 #s(approx (pow (* (sqrt (* (log u1) -2)) 1/6) 2) (*.f64 #s(literal -1/18 binary64) (log.f64 u1))) #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))))
Outputs
(fma.f64 (*.f64 (cos.f64 (*.f64 u2 (*.f64 (PI.f64) #s(literal 2 binary64)))) #s(literal 1/6 binary64)) (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal 1/2 binary64))
Calls

10 calls:

10.0ms
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/2 binary64)))
4.0ms
(+.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/2 binary64))) (cos.f64 (*.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) u2))) #s(literal 1/2 binary64))
4.0ms
(pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/2 binary64))
4.0ms
(*.f64 #s(literal -2 binary64) (log.f64 u1))
4.0ms
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/2 binary64))) (cos.f64 (*.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) u2)))
Results
AccuracySegmentsBranch
99.4%1(*.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) u2)
99.4%1(cos.f64 (*.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) u2))
99.4%1(log.f64 u1)
99.4%1(*.f64 #s(literal -2 binary64) (log.f64 u1))
99.4%1(pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/2 binary64))
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(*.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 (*.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%1u1
99.4%1u2
Compiler

Compiled 71 to 78 computations (-9.9% saved)

regimes42.0ms (0.4%)

Memory
-32.7MiB live, 58.7MiB allocated; 6ms collecting garbage
Counts
12 → 1
Calls
Call 1
Inputs
#s(approx (+ (* (* (/ 1 6) (pow (* -2 (log u1)) 1/2)) (cos (* (* 2 (PI)) u2))) 1/2) (fma.f64 (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal 1/6 binary64) #s(literal 1/2 binary64)))
#s(approx (+ (* (* (/ 1 6) (pow (* -2 (log u1)) 1/2)) (cos (* (* 2 (PI)) u2))) 1/2) (fma.f64 (*.f64 (sqrt.f64 #s(literal -2 binary64)) #s(literal 1/6 binary64)) (sqrt.f64 (log.f64 u1)) #s(literal 1/2 binary64)))
#s(approx (+ (* (* (/ 1 6) (pow (* -2 (log u1)) 1/2)) (cos (* (* 2 (PI)) u2))) 1/2) (fma.f64 (*.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/6 binary64) #s(literal 1/2 binary64)))
(+.f64 (/.f64 (*.f64 #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary64)) #s(approx (pow (* -2 (log u1)) 1/2) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))))) #s(literal 6 binary64)) #s(literal 1/2 binary64))
(fma.f64 #s(approx (* (cos (* u2 (* (PI) 2))) 1/6) (fma.f64 (*.f64 (*.f64 u2 u2) #s(literal -1/3 binary64)) (*.f64 (PI.f64) (PI.f64)) #s(literal 1/6 binary64))) (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal 1/2 binary64))
(fma.f64 (*.f64 #s(approx (cos (* (* 2 (PI)) u2)) (fma.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (*.f64 u2 u2) #s(literal -2 binary64)) #s(literal 1 binary64))) #s(literal 1/6 binary64)) #s(approx (pow (* -2 (log u1)) 1/2) (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)))) #s(literal 1/2 binary64))
(fma.f64 (*.f64 #s(approx (cos (* (* 2 (PI)) u2)) (fma.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (*.f64 u2 u2) #s(literal -2 binary64)) #s(literal 1 binary64))) #s(literal 1/6 binary64)) #s(approx (pow (* -2 (log u1)) 1/2) (sqrt.f64 (*.f64 (neg.f64 (log.f64 u1)) #s(literal 2 binary64)))) #s(literal 1/2 binary64))
(fma.f64 (*.f64 #s(approx (pow (* -2 (log u1)) 1/2) (sqrt.f64 (*.f64 (neg.f64 (log.f64 u1)) #s(literal 2 binary64)))) #s(literal 1/6 binary64)) #s(approx (cos (* (* 2 (PI)) u2)) (fma.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (*.f64 u2 u2) #s(literal -2 binary64)) #s(literal 1 binary64))) #s(literal 1/2 binary64))
(+.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) #s(approx (pow (* -2 (log u1)) 1/2) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (neg.f64 (log.f64 u1)))))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary64))) #s(literal 1/2 binary64))
(+.f64 (/.f64 (*.f64 #s(approx (cos (* (* 2 (PI)) u2)) (fma.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (*.f64 u2 u2) #s(literal -2 binary64)) #s(literal 1 binary64))) #s(approx (pow (* -2 (log u1)) 1/2) (sqrt.f64 (*.f64 (neg.f64 (log.f64 u1)) #s(literal 2 binary64))))) #s(literal 6 binary64)) #s(literal 1/2 binary64))
(+.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) #s(approx (pow (* -2 (log u1)) 1/2) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (neg.f64 (log.f64 u1)))))) #s(approx (cos (* (* 2 (PI)) u2)) (fma.f64 (*.f64 (*.f64 u2 u2) #s(literal -2 binary64)) (*.f64 (PI.f64) (PI.f64)) #s(literal 1 binary64)))) #s(literal 1/2 binary64))
(+.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) #s(approx (pow (* -2 (log u1)) 1/2) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (neg.f64 (log.f64 u1)))))) #s(approx (cos (* (* 2 (PI)) u2)) (fma.f64 (*.f64 (*.f64 u2 u2) #s(literal -2 binary64)) (*.f64 (PI.f64) (PI.f64)) #s(literal 1 binary64)))) #s(literal 1/2 binary64))
Outputs
(+.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) #s(approx (pow (* -2 (log u1)) 1/2) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (neg.f64 (log.f64 u1)))))) #s(approx (cos (* (* 2 (PI)) u2)) (fma.f64 (*.f64 (*.f64 u2 u2) #s(literal -2 binary64)) (*.f64 (PI.f64) (PI.f64)) #s(literal 1 binary64)))) #s(literal 1/2 binary64))
Calls

10 calls:

7.0ms
(*.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) u2)
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)))
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
98.4%1(*.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) u2)
98.4%1(cos.f64 (*.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) u2))
98.4%1(log.f64 u1)
98.4%1(*.f64 #s(literal -2 binary64) (log.f64 u1))
98.4%1(pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/2 binary64))
98.4%1(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/2 binary64)))
98.4%1(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/2 binary64))) (cos.f64 (*.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) u2)))
98.4%1(+.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/2 binary64))) (cos.f64 (*.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) u2))) #s(literal 1/2 binary64))
98.4%1u1
98.4%1u2
Compiler

Compiled 71 to 78 computations (-9.9% saved)

regimes45.0ms (0.4%)

Memory
-1.6MiB live, 44.8MiB allocated; 2ms collecting garbage
Counts
10 → 1
Calls
Call 1
Inputs
#s(approx (+ (* (* (/ 1 6) (pow (* -2 (log u1)) 1/2)) (cos (* (* 2 (PI)) u2))) 1/2) (fma.f64 (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal 1/6 binary64) #s(literal 1/2 binary64)))
#s(approx (+ (* (* (/ 1 6) (pow (* -2 (log u1)) 1/2)) (cos (* (* 2 (PI)) u2))) 1/2) (fma.f64 (*.f64 (sqrt.f64 #s(literal -2 binary64)) #s(literal 1/6 binary64)) (sqrt.f64 (log.f64 u1)) #s(literal 1/2 binary64)))
#s(approx (+ (* (* (/ 1 6) (pow (* -2 (log u1)) 1/2)) (cos (* (* 2 (PI)) u2))) 1/2) (fma.f64 (*.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/6 binary64) #s(literal 1/2 binary64)))
(+.f64 (/.f64 (*.f64 #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary64)) #s(approx (pow (* -2 (log u1)) 1/2) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))))) #s(literal 6 binary64)) #s(literal 1/2 binary64))
(fma.f64 #s(approx (* (cos (* u2 (* (PI) 2))) 1/6) (fma.f64 (*.f64 (*.f64 u2 u2) #s(literal -1/3 binary64)) (*.f64 (PI.f64) (PI.f64)) #s(literal 1/6 binary64))) (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal 1/2 binary64))
(fma.f64 (*.f64 #s(approx (cos (* (* 2 (PI)) u2)) (fma.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (*.f64 u2 u2) #s(literal -2 binary64)) #s(literal 1 binary64))) #s(literal 1/6 binary64)) #s(approx (pow (* -2 (log u1)) 1/2) (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)))) #s(literal 1/2 binary64))
(fma.f64 (*.f64 #s(approx (cos (* (* 2 (PI)) u2)) (fma.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (*.f64 u2 u2) #s(literal -2 binary64)) #s(literal 1 binary64))) #s(literal 1/6 binary64)) #s(approx (pow (* -2 (log u1)) 1/2) (sqrt.f64 (*.f64 (neg.f64 (log.f64 u1)) #s(literal 2 binary64)))) #s(literal 1/2 binary64))
(fma.f64 (*.f64 #s(approx (pow (* -2 (log u1)) 1/2) (sqrt.f64 (*.f64 (neg.f64 (log.f64 u1)) #s(literal 2 binary64)))) #s(literal 1/6 binary64)) #s(approx (cos (* (* 2 (PI)) u2)) (fma.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (*.f64 u2 u2) #s(literal -2 binary64)) #s(literal 1 binary64))) #s(literal 1/2 binary64))
(+.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) #s(approx (pow (* -2 (log u1)) 1/2) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (neg.f64 (log.f64 u1)))))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary64))) #s(literal 1/2 binary64))
(+.f64 (/.f64 (*.f64 #s(approx (cos (* (* 2 (PI)) u2)) (fma.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (*.f64 u2 u2) #s(literal -2 binary64)) #s(literal 1 binary64))) #s(approx (pow (* -2 (log u1)) 1/2) (sqrt.f64 (*.f64 (neg.f64 (log.f64 u1)) #s(literal 2 binary64))))) #s(literal 6 binary64)) #s(literal 1/2 binary64))
Outputs
(+.f64 (/.f64 (*.f64 #s(approx (cos (* (* 2 (PI)) u2)) (fma.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (*.f64 u2 u2) #s(literal -2 binary64)) #s(literal 1 binary64))) #s(approx (pow (* -2 (log u1)) 1/2) (sqrt.f64 (*.f64 (neg.f64 (log.f64 u1)) #s(literal 2 binary64))))) #s(literal 6 binary64)) #s(literal 1/2 binary64))
Calls

10 calls:

16.0ms
(*.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 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/2 binary64))) (cos.f64 (*.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) u2)))
3.0ms
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/2 binary64)))
3.0ms
(pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/2 binary64))
Results
AccuracySegmentsBranch
98.3%1(*.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) u2)
98.3%1(cos.f64 (*.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) u2))
98.3%1(log.f64 u1)
98.3%1(*.f64 #s(literal -2 binary64) (log.f64 u1))
98.3%1(pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/2 binary64))
98.3%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)))
98.3%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)))
98.3%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))
98.3%1u1
98.3%1u2
Compiler

Compiled 71 to 78 computations (-9.9% saved)

regimes30.0ms (0.3%)

Memory
37.7MiB live, 37.7MiB allocated; 0ms collecting garbage
Counts
9 → 1
Calls
Call 1
Inputs
#s(approx (+ (* (* (/ 1 6) (pow (* -2 (log u1)) 1/2)) (cos (* (* 2 (PI)) u2))) 1/2) (fma.f64 (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal 1/6 binary64) #s(literal 1/2 binary64)))
#s(approx (+ (* (* (/ 1 6) (pow (* -2 (log u1)) 1/2)) (cos (* (* 2 (PI)) u2))) 1/2) (fma.f64 (*.f64 (sqrt.f64 #s(literal -2 binary64)) #s(literal 1/6 binary64)) (sqrt.f64 (log.f64 u1)) #s(literal 1/2 binary64)))
#s(approx (+ (* (* (/ 1 6) (pow (* -2 (log u1)) 1/2)) (cos (* (* 2 (PI)) u2))) 1/2) (fma.f64 (*.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/6 binary64) #s(literal 1/2 binary64)))
(+.f64 (/.f64 (*.f64 #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary64)) #s(approx (pow (* -2 (log u1)) 1/2) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))))) #s(literal 6 binary64)) #s(literal 1/2 binary64))
(fma.f64 #s(approx (* (cos (* u2 (* (PI) 2))) 1/6) (fma.f64 (*.f64 (*.f64 u2 u2) #s(literal -1/3 binary64)) (*.f64 (PI.f64) (PI.f64)) #s(literal 1/6 binary64))) (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal 1/2 binary64))
(fma.f64 (*.f64 #s(approx (cos (* (* 2 (PI)) u2)) (fma.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (*.f64 u2 u2) #s(literal -2 binary64)) #s(literal 1 binary64))) #s(literal 1/6 binary64)) #s(approx (pow (* -2 (log u1)) 1/2) (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)))) #s(literal 1/2 binary64))
(fma.f64 (*.f64 #s(approx (cos (* (* 2 (PI)) u2)) (fma.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (*.f64 u2 u2) #s(literal -2 binary64)) #s(literal 1 binary64))) #s(literal 1/6 binary64)) #s(approx (pow (* -2 (log u1)) 1/2) (sqrt.f64 (*.f64 (neg.f64 (log.f64 u1)) #s(literal 2 binary64)))) #s(literal 1/2 binary64))
(fma.f64 (*.f64 #s(approx (pow (* -2 (log u1)) 1/2) (sqrt.f64 (*.f64 (neg.f64 (log.f64 u1)) #s(literal 2 binary64)))) #s(literal 1/6 binary64)) #s(approx (cos (* (* 2 (PI)) u2)) (fma.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (*.f64 u2 u2) #s(literal -2 binary64)) #s(literal 1 binary64))) #s(literal 1/2 binary64))
(+.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) #s(approx (pow (* -2 (log u1)) 1/2) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (neg.f64 (log.f64 u1)))))) #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary64))) #s(literal 1/2 binary64))
Outputs
(fma.f64 (*.f64 #s(approx (cos (* (* 2 (PI)) u2)) (fma.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (*.f64 u2 u2) #s(literal -2 binary64)) #s(literal 1 binary64))) #s(literal 1/6 binary64)) #s(approx (pow (* -2 (log u1)) 1/2) (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)))) #s(literal 1/2 binary64))
Calls

10 calls:

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

Compiled 71 to 78 computations (-9.9% saved)

regimes54.0ms (0.5%)

Memory
-18.1MiB live, 34.4MiB allocated; 23ms collecting garbage
Counts
5 → 1
Calls
Call 1
Inputs
#s(approx (+ (* (* (/ 1 6) (pow (* -2 (log u1)) 1/2)) (cos (* (* 2 (PI)) u2))) 1/2) (fma.f64 (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal 1/6 binary64) #s(literal 1/2 binary64)))
#s(approx (+ (* (* (/ 1 6) (pow (* -2 (log u1)) 1/2)) (cos (* (* 2 (PI)) u2))) 1/2) (fma.f64 (*.f64 (sqrt.f64 #s(literal -2 binary64)) #s(literal 1/6 binary64)) (sqrt.f64 (log.f64 u1)) #s(literal 1/2 binary64)))
#s(approx (+ (* (* (/ 1 6) (pow (* -2 (log u1)) 1/2)) (cos (* (* 2 (PI)) u2))) 1/2) (fma.f64 (*.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/6 binary64) #s(literal 1/2 binary64)))
(+.f64 (/.f64 (*.f64 #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary64)) #s(approx (pow (* -2 (log u1)) 1/2) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))))) #s(literal 6 binary64)) #s(literal 1/2 binary64))
(fma.f64 #s(approx (* (cos (* u2 (* (PI) 2))) 1/6) (fma.f64 (*.f64 (*.f64 u2 u2) #s(literal -1/3 binary64)) (*.f64 (PI.f64) (PI.f64)) #s(literal 1/6 binary64))) (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal 1/2 binary64))
Outputs
(fma.f64 #s(approx (* (cos (* u2 (* (PI) 2))) 1/6) (fma.f64 (*.f64 (*.f64 u2 u2) #s(literal -1/3 binary64)) (*.f64 (PI.f64) (PI.f64)) #s(literal 1/6 binary64))) (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal 1/2 binary64))
Calls

10 calls:

35.0ms
(+.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/2 binary64))) (cos.f64 (*.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) u2))) #s(literal 1/2 binary64))
2.0ms
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/2 binary64))) (cos.f64 (*.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) u2)))
2.0ms
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/2 binary64)))
2.0ms
(pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/2 binary64))
2.0ms
(log.f64 u1)
Results
AccuracySegmentsBranch
98.2%1(*.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) u2)
98.2%1(cos.f64 (*.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) u2))
98.2%1(log.f64 u1)
98.2%1(*.f64 #s(literal -2 binary64) (log.f64 u1))
98.2%1(pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/2 binary64))
98.2%1(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/2 binary64)))
98.2%1(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/2 binary64))) (cos.f64 (*.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) u2)))
98.2%1(+.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/2 binary64))) (cos.f64 (*.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) u2))) #s(literal 1/2 binary64))
98.2%1u1
98.2%1u2
Compiler

Compiled 71 to 78 computations (-9.9% saved)

regimes22.0ms (0.2%)

Memory
-2.9MiB live, 42.2MiB allocated; 6ms collecting garbage
Counts
4 → 1
Calls
Call 1
Inputs
#s(approx (+ (* (* (/ 1 6) (pow (* -2 (log u1)) 1/2)) (cos (* (* 2 (PI)) u2))) 1/2) (fma.f64 (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal 1/6 binary64) #s(literal 1/2 binary64)))
#s(approx (+ (* (* (/ 1 6) (pow (* -2 (log u1)) 1/2)) (cos (* (* 2 (PI)) u2))) 1/2) (fma.f64 (*.f64 (sqrt.f64 #s(literal -2 binary64)) #s(literal 1/6 binary64)) (sqrt.f64 (log.f64 u1)) #s(literal 1/2 binary64)))
#s(approx (+ (* (* (/ 1 6) (pow (* -2 (log u1)) 1/2)) (cos (* (* 2 (PI)) u2))) 1/2) (fma.f64 (*.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/6 binary64) #s(literal 1/2 binary64)))
(+.f64 (/.f64 (*.f64 #s(approx (cos (* (* 2 (PI)) u2)) #s(literal 1 binary64)) #s(approx (pow (* -2 (log u1)) 1/2) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))))) #s(literal 6 binary64)) #s(literal 1/2 binary64))
Outputs
#s(approx (+ (* (* (/ 1 6) (pow (* -2 (log u1)) 1/2)) (cos (* (* 2 (PI)) u2))) 1/2) (fma.f64 (*.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/6 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))
2.0ms
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/2 binary64))) (cos.f64 (*.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) u2)))
2.0ms
(+.f64 (*.f64 (*.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
(*.f64 #s(literal -2 binary64) (log.f64 u1))
Results
AccuracySegmentsBranch
97.7%1(*.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) u2)
97.7%1(cos.f64 (*.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) u2))
97.7%1(log.f64 u1)
97.7%1(*.f64 #s(literal -2 binary64) (log.f64 u1))
97.7%1(pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/2 binary64))
97.7%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)))
97.7%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)))
97.7%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))
97.7%1u1
97.7%1u2
Compiler

Compiled 71 to 78 computations (-9.9% saved)

regimes15.0ms (0.1%)

Memory
-8.4MiB live, 37.7MiB allocated; 3ms collecting garbage
Accuracy

Total -62.4b remaining (-3902.2%)

Threshold costs -62.4b (-3902.2%)

Counts
2 → 1
Calls
Call 1
Inputs
#s(approx (+ (* (* (/ 1 6) (pow (* -2 (log u1)) 1/2)) (cos (* (* 2 (PI)) u2))) 1/2) (fma.f64 (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal 1/6 binary64) #s(literal 1/2 binary64)))
#s(approx (+ (* (* (/ 1 6) (pow (* -2 (log u1)) 1/2)) (cos (* (* 2 (PI)) u2))) 1/2) (fma.f64 (*.f64 (sqrt.f64 #s(literal -2 binary64)) #s(literal 1/6 binary64)) (sqrt.f64 (log.f64 u1)) #s(literal 1/2 binary64)))
Outputs
#s(approx (+ (* (* (/ 1 6) (pow (* -2 (log u1)) 1/2)) (cos (* (* 2 (PI)) u2))) 1/2) (fma.f64 (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal 1/6 binary64) #s(literal 1/2 binary64)))
Calls

10 calls:

3.0ms
u1
1.0ms
(+.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))
1.0ms
(*.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)))
1.0ms
(*.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)))
1.0ms
(*.f64 #s(literal -2 binary64) (log.f64 u1))
Results
AccuracySegmentsBranch
97.5%1(*.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) u2)
97.5%1(log.f64 u1)
97.5%1u1
97.5%1u2
97.5%1(cos.f64 (*.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) u2))
97.5%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)))
97.5%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))
97.5%1(*.f64 #s(literal -2 binary64) (log.f64 u1))
97.5%1(pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/2 binary64))
97.5%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)))
Compiler

Compiled 71 to 78 computations (-9.9% saved)

simplify47.0ms (0.4%)

Memory
29.2MiB live, 72.4MiB allocated; 7ms collecting garbage
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
076249
1115249
2188249
3448249
42264249
Stop Event
node limit
Calls
Call 1
Inputs
(+.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) #s(approx (pow (* -2 (log u1)) 1/2) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (neg.f64 (log.f64 u1)))))) (cos.f64 (*.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) u2))) #s(literal 1/2 binary64))
(+.f64 (/.f64 (*.f64 (cos.f64 (*.f64 u2 (*.f64 (PI.f64) #s(literal 2 binary64)))) (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)))) #s(literal 6 binary64)) #s(literal 1/2 binary64))
(fma.f64 (/.f64 (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal 6 binary64)) (cos.f64 (*.f64 u2 (*.f64 (PI.f64) #s(literal 2 binary64)))) #s(literal 1/2 binary64))
(fma.f64 (*.f64 (cos.f64 (*.f64 u2 (*.f64 (PI.f64) #s(literal 2 binary64)))) #s(literal 1/6 binary64)) (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal 1/2 binary64))
(+.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) #s(approx (pow (* -2 (log u1)) 1/2) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (neg.f64 (log.f64 u1)))))) #s(approx (cos (* (* 2 (PI)) u2)) (fma.f64 (*.f64 (*.f64 u2 u2) #s(literal -2 binary64)) (*.f64 (PI.f64) (PI.f64)) #s(literal 1 binary64)))) #s(literal 1/2 binary64))
(+.f64 (/.f64 (*.f64 #s(approx (cos (* (* 2 (PI)) u2)) (fma.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (*.f64 u2 u2) #s(literal -2 binary64)) #s(literal 1 binary64))) #s(approx (pow (* -2 (log u1)) 1/2) (sqrt.f64 (*.f64 (neg.f64 (log.f64 u1)) #s(literal 2 binary64))))) #s(literal 6 binary64)) #s(literal 1/2 binary64))
(fma.f64 (*.f64 #s(approx (cos (* (* 2 (PI)) u2)) (fma.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (*.f64 u2 u2) #s(literal -2 binary64)) #s(literal 1 binary64))) #s(literal 1/6 binary64)) #s(approx (pow (* -2 (log u1)) 1/2) (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)))) #s(literal 1/2 binary64))
(fma.f64 #s(approx (* (cos (* u2 (* (PI) 2))) 1/6) (fma.f64 (*.f64 (*.f64 u2 u2) #s(literal -1/3 binary64)) (*.f64 (PI.f64) (PI.f64)) #s(literal 1/6 binary64))) (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal 1/2 binary64))
#s(approx (+ (* (* (/ 1 6) (pow (* -2 (log u1)) 1/2)) (cos (* (* 2 (PI)) u2))) 1/2) (fma.f64 (*.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/6 binary64) #s(literal 1/2 binary64)))
#s(approx (+ (* (* (/ 1 6) (pow (* -2 (log u1)) 1/2)) (cos (* (* 2 (PI)) u2))) 1/2) (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 #s(literal 1/6 binary64) #s(approx (pow (* -2 (log u1)) 1/2) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (neg.f64 (log.f64 u1)))))) (cos.f64 (*.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) u2))) #s(literal 1/2 binary64))
(+.f64 (/.f64 (*.f64 (cos.f64 (*.f64 u2 (*.f64 (PI.f64) #s(literal 2 binary64)))) (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)))) #s(literal 6 binary64)) #s(literal 1/2 binary64))
(fma.f64 (/.f64 (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal 6 binary64)) (cos.f64 (*.f64 u2 (*.f64 (PI.f64) #s(literal 2 binary64)))) #s(literal 1/2 binary64))
(fma.f64 (*.f64 (cos.f64 (*.f64 u2 (*.f64 (PI.f64) #s(literal 2 binary64)))) #s(literal 1/6 binary64)) (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal 1/2 binary64))
(+.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) #s(approx (pow (* -2 (log u1)) 1/2) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (neg.f64 (log.f64 u1)))))) #s(approx (cos (* (* 2 (PI)) u2)) (fma.f64 (*.f64 (*.f64 u2 u2) #s(literal -2 binary64)) (*.f64 (PI.f64) (PI.f64)) #s(literal 1 binary64)))) #s(literal 1/2 binary64))
(+.f64 (/.f64 (*.f64 #s(approx (cos (* (* 2 (PI)) u2)) (fma.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (*.f64 u2 u2) #s(literal -2 binary64)) #s(literal 1 binary64))) #s(approx (pow (* -2 (log u1)) 1/2) (sqrt.f64 (*.f64 (neg.f64 (log.f64 u1)) #s(literal 2 binary64))))) #s(literal 6 binary64)) #s(literal 1/2 binary64))
(fma.f64 (*.f64 #s(approx (cos (* (* 2 (PI)) u2)) (fma.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (*.f64 u2 u2) #s(literal -2 binary64)) #s(literal 1 binary64))) #s(literal 1/6 binary64)) #s(approx (pow (* -2 (log u1)) 1/2) (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)))) #s(literal 1/2 binary64))
(fma.f64 #s(approx (* (cos (* u2 (* (PI) 2))) 1/6) (fma.f64 (*.f64 (*.f64 u2 u2) #s(literal -1/3 binary64)) (*.f64 (PI.f64) (PI.f64)) #s(literal 1/6 binary64))) (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal 1/2 binary64))
#s(approx (+ (* (* (/ 1 6) (pow (* -2 (log u1)) 1/2)) (cos (* (* 2 (PI)) u2))) 1/2) (fma.f64 (*.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/6 binary64) #s(literal 1/2 binary64)))
#s(approx (+ (* (* (/ 1 6) (pow (* -2 (log u1)) 1/2)) (cos (* (* 2 (PI)) u2))) 1/2) (fma.f64 (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal 1/6 binary64) #s(literal 1/2 binary64)))

derivations846.0ms (8%)

Memory
3.0MiB live, 660.9MiB allocated; 102ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
083448
1239428
2909400
33544372
47335372
08119353
0109602
1335578
21312550
33779530
47598530
08143503
058384
096354
1349339
01812332
01852
03048
19748
054247
0136740
1423709
21653679
34700659
08506626
058356
095339
1315313
02018310
060255
0103224
1307222
01301219
Stop Event
fuel
iter limit
iter limit
node limit
iter limit
iter limit
iter limit
node limit
iter limit
iter limit
node limit
iter limit
iter limit
iter limit
unsound
iter limit
iter limit
iter limit
node limit
iter limit
iter limit
node limit
iter limit
node limit
Compiler

Compiled 259 to 82 computations (68.3% saved)

preprocess72.0ms (0.7%)

Memory
8.5MiB live, 155.6MiB allocated; 20ms collecting garbage
Remove

(abs u2)

Compiler

Compiled 606 to 246 computations (59.4% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated; 0ms collecting garbage

Profiling

Loading profile data...