normal distribution

Time bar (total: 10.9s)

analyze60.0ms (0.6%)

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

Compiled 36 to 26 computations (27.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 46.0ms
ival-<=: 25.0ms (53.8% of total)
ival-pow: 7.0ms (15.1% of total)
ival-mult: 6.0ms (12.9% of total)
ival-div: 2.0ms (4.3% of total)
ival-log: 2.0ms (4.3% of total)
ival-cos: 2.0ms (4.3% of total)
ival-pi: 1.0ms (2.2% of total)
ival-add: 1.0ms (2.2% of total)
const: 1.0ms (2.2% of total)
ival-and: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

sample1.9s (17.3%)

Results
1.5s8256×0valid
Precisions
Click to see histograms. Total time spent on operations: 1.2s
ival-mult: 364.0ms (29.9% of total)
ival-pow: 210.0ms (17.3% of total)
ival-log: 160.0ms (13.2% of total)
ival-<=: 132.0ms (10.8% of total)
ival-add: 117.0ms (9.6% of total)
ival-div: 75.0ms (6.2% of total)
ival-cos: 69.0ms (5.7% of total)
ival-pi: 35.0ms (2.9% of total)
const: 25.0ms (2.1% of total)
ival-and: 24.0ms (2% of total)
backward-pass: 3.0ms (0.2% of total)
Bogosity

preprocess39.0ms (0.4%)

Algorithm
2×egg-herbie
Rules
950×fma-define
604×sum3-define
400×fmsub-define
332×fnmadd-define
164×fmm-def
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04195
19892
221592
345892
462092
579592
699992
7125092
8135892
9178092
10197492
01915
13315
24915
35715
05715
Stop Event
1×iter limit
1×saturated
1×saturated
Calls
Call 1
Inputs
(+ (* (* (/ 1 6) (pow (* -2 (log u1)) 1/2)) (cos (* (* 2 (PI)) u2))) 1/2)
Outputs
(+ (* (* (/ 1 6) (pow (* -2 (log u1)) 1/2)) (cos (* (* 2 (PI)) u2))) 1/2)
(+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)))) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))))
Call 2
Inputs
(+ (* (* (/ 1 6) (pow (* -2 (log u1)) 1/2)) (cos (* (* 2 (PI)) u2))) 1/2)
(+ (* (* (/ 1 6) (pow (* -2 (log (neg u1))) 1/2)) (cos (* (* 2 (PI)) u2))) 1/2)
(+ (* (* (/ 1 6) (pow (* -2 (log u1)) 1/2)) (cos (* (* 2 (PI)) (neg u2)))) 1/2)
(neg (+ (* (* (/ 1 6) (pow (* -2 (log (neg u1))) 1/2)) (cos (* (* 2 (PI)) u2))) 1/2))
(neg (+ (* (* (/ 1 6) (pow (* -2 (log u1)) 1/2)) (cos (* (* 2 (PI)) (neg u2)))) 1/2))
(+ (* (* (/ 1 6) (pow (* -2 (log u2)) 1/2)) (cos (* (* 2 (PI)) u1))) 1/2)
Outputs
(+ (* (* (/ 1 6) (pow (* -2 (log u1)) 1/2)) (cos (* (* 2 (PI)) u2))) 1/2)
(fmsub 1/6 (* (sqrt (* -2 (log u1))) (cos (* 2 (* (PI) u2)))) -1/2)
(+ (* (* (/ 1 6) (pow (* -2 (log (neg u1))) 1/2)) (cos (* (* 2 (PI)) u2))) 1/2)
(fmsub (sqrt (* -2 (log (neg u1)))) (* 1/6 (cos (* 2 (* (PI) u2)))) -1/2)
(+ (* (* (/ 1 6) (pow (* -2 (log u1)) 1/2)) (cos (* (* 2 (PI)) (neg u2)))) 1/2)
(fmsub 1/6 (* (sqrt (* -2 (log u1))) (cos (* 2 (* (PI) u2)))) -1/2)
(neg (+ (* (* (/ 1 6) (pow (* -2 (log (neg u1))) 1/2)) (cos (* (* 2 (PI)) u2))) 1/2))
(fnmsub (sqrt (* -2 (log (neg u1)))) (* 1/6 (cos (* 2 (* (PI) u2)))) 1/2)
(neg (+ (* (* (/ 1 6) (pow (* -2 (log u1)) 1/2)) (cos (* (* 2 (PI)) (neg u2)))) 1/2))
(fnmsub 1/6 (* (sqrt (* -2 (log u1))) (cos (* 2 (* (PI) u2)))) 1/2)
(+ (* (* (/ 1 6) (pow (* -2 (log u2)) 1/2)) (cos (* (* 2 (PI)) u1))) 1/2)
(fma 1/6 (* (sqrt (* -2 (log u2))) (cos (* u1 (* 2 (PI))))) 1/2)
Symmetry

(abs u2)

explain360.0ms (3.3%)

FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
00-0-(pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/2 binary64))
00-0-(*.f64 #s(literal 2 binary64) (PI.f64))
00-0-(log.f64 u1)
00-0-#s(literal 2 binary64)
00-0-#s(literal -2 binary64)
00-0-(/.f64 #s(literal 1 binary64) #s(literal 6 binary64))
00-0-#s(literal 6 binary64)
00-0-(*.f64 #s(literal -2 binary64) (log.f64 u1))
00-0-u2
00-0-(PI.f64)
00-0-#s(literal 1/2 binary64)
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-(*.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-u1
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-#s(literal 1 binary64)
00-0-(*.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) u2)
00-0-(cos.f64 (*.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) u2))
Results
291.0ms512×0valid
Compiler

Compiled 193 to 56 computations (71% saved)

Precisions
Click to see histograms. Total time spent on operations: 56.0ms
ival-mult: 19.0ms (34.2% of total)
ival-pow: 13.0ms (23.4% of total)
ival-log: 7.0ms (12.6% of total)
ival-div: 6.0ms (10.8% of total)
ival-cos: 4.0ms (7.2% of total)
ival-add: 3.0ms (5.4% of total)
ival-pi: 2.0ms (3.6% of total)
const: 2.0ms (3.6% of total)
backward-pass: 0.0ms (0% of total)

eval2.0ms (0%)

Compiler

Compiled 18 to 16 computations (11.1% saved)

prune1.0ms (0%)

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

Compiled 18 to 16 computations (11.1% saved)

simplify5.0ms (0%)

Algorithm
1×egg-herbie
Localize:

Found 4 expressions of interest:

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

Useful iterations: 1 (0.0ms)

IterNodesCost
01669
12668
24368
35168
05168
Stop Event
1×iter limit
1×saturated
Calls
Call 1
Inputs
(+ 1/2 (* (* 1/6 (sqrt (* -2 (log u1)))) (cos (* 2 (* (PI) u2)))))
1/2
(* (* 1/6 (sqrt (* -2 (log u1)))) (cos (* 2 (* (PI) u2))))
(* 1/6 (sqrt (* -2 (log u1))))
1/6
(sqrt (* -2 (log u1)))
(* -2 (log u1))
-2
(log u1)
u1
(cos (* 2 (* (PI) u2)))
(* 2 (* (PI) u2))
2
(* (PI) u2)
(PI)
u2
Outputs
(+ 1/2 (* (* 1/6 (sqrt (* -2 (log u1)))) (cos (* 2 (* (PI) u2)))))
(+.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))))))
1/2
#s(literal 1/2 binary64)
(* (* 1/6 (sqrt (* -2 (log u1)))) (cos (* 2 (* (PI) u2))))
(*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))))
(* 1/6 (sqrt (* -2 (log u1))))
(*.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))))
1/6
#s(literal 1/6 binary64)
(sqrt (* -2 (log u1)))
(sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)))
(* -2 (log u1))
(*.f64 #s(literal -2 binary64) (log.f64 u1))
-2
#s(literal -2 binary64)
(log u1)
(log.f64 u1)
u1
(cos (* 2 (* (PI) u2)))
(cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))
(* 2 (* (PI) u2))
(*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))
2
#s(literal 2 binary64)
(* (PI) u2)
(*.f64 (PI.f64) u2)
(PI)
(PI.f64)
u2

localize62.0ms (0.6%)

Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
✓accuracy99.9%
(+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)))) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))))
✓accuracy99.8%
(sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)))
✓accuracy99.6%
(*.f64 (PI.f64) u2)
✓accuracy99.3%
(*.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))))
Results
45.0ms256×0valid
Compiler

Compiled 72 to 17 computations (76.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 25.0ms
ival-mult: 8.0ms (31.8% of total)
ival-log: 4.0ms (15.9% of total)
ival-sqrt: 4.0ms (15.9% of total)
...c/correct-round.rkt:119:19: 4.0ms (15.9% of total)
ival-cos: 2.0ms (7.9% of total)
ival-pi: 1.0ms (4% of total)
ival-add: 1.0ms (4% of total)
const: 1.0ms (4% of total)
backward-pass: 0.0ms (0% of total)

series83.0ms (0.8%)

Counts
5 → 84
Calls
Call 1
Inputs
#<alt (+ 1/2 (* (* 1/6 (sqrt (* -2 (log u1)))) (cos (* 2 (* (PI) u2)))))>
#<alt (* (* 1/6 (sqrt (* -2 (log u1)))) (cos (* 2 (* (PI) u2))))>
#<alt (* 1/6 (sqrt (* -2 (log u1))))>
#<alt (sqrt (* -2 (log u1)))>
#<alt (* (PI) u2)>
Outputs
#<alt (+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))))>
#<alt (+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))))>
#<alt (+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))))>
#<alt (+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))))>
#<alt (+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -2) (sqrt -1))) (sqrt (log (/ 1 u1))))))>
#<alt (+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -2) (sqrt -1))) (sqrt (log (/ 1 u1))))))>
#<alt (+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -2) (sqrt -1))) (sqrt (log (/ 1 u1))))))>
#<alt (+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -2) (sqrt -1))) (sqrt (log (/ 1 u1))))))>
#<alt (+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))))>
#<alt (+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))))>
#<alt (+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))))>
#<alt (+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))))>
#<alt (+ 1/2 (* 1/6 (* (sqrt (log u1)) (sqrt -2))))>
#<alt (+ 1/2 (+ (* -1/3 (* (* (pow u2 2) (* (pow (PI) 2) (sqrt -2))) (sqrt (log u1)))) (* 1/6 (* (sqrt (log u1)) (sqrt -2)))))>
#<alt (+ 1/2 (+ (* 1/6 (* (sqrt (log u1)) (sqrt -2))) (* (pow u2 2) (+ (* -1/3 (* (* (pow (PI) 2) (sqrt -2)) (sqrt (log u1)))) (* 1/9 (* (* (pow u2 2) (* (pow (PI) 4) (sqrt -2))) (sqrt (log u1))))))))>
#<alt (+ 1/2 (+ (* 1/6 (* (sqrt (log u1)) (sqrt -2))) (* (pow u2 2) (+ (* -1/3 (* (* (pow (PI) 2) (sqrt -2)) (sqrt (log u1)))) (* (pow u2 2) (+ (* -2/135 (* (* (pow u2 2) (* (pow (PI) 6) (sqrt -2))) (sqrt (log u1)))) (* 1/9 (* (* (pow (PI) 4) (sqrt -2)) (sqrt (log u1))))))))))>
#<alt (+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))))>
#<alt (+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))))>
#<alt (+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))))>
#<alt (+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))))>
#<alt (+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))))>
#<alt (+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))))>
#<alt (+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))))>
#<alt (+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))))>
#<alt (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1))))>
#<alt (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1))))>
#<alt (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1))))>
#<alt (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1))))>
#<alt (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -2) (sqrt -1))) (sqrt (log (/ 1 u1)))))>
#<alt (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -2) (sqrt -1))) (sqrt (log (/ 1 u1)))))>
#<alt (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -2) (sqrt -1))) (sqrt (log (/ 1 u1)))))>
#<alt (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -2) (sqrt -1))) (sqrt (log (/ 1 u1)))))>
#<alt (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))))>
#<alt (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))))>
#<alt (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))))>
#<alt (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))))>
#<alt (* 1/6 (* (sqrt (log u1)) (sqrt -2)))>
#<alt (+ (* -1/3 (* (* (pow u2 2) (* (pow (PI) 2) (sqrt -2))) (sqrt (log u1)))) (* 1/6 (* (sqrt (log u1)) (sqrt -2))))>
#<alt (+ (* 1/6 (* (sqrt (log u1)) (sqrt -2))) (* (pow u2 2) (+ (* -1/3 (* (* (pow (PI) 2) (sqrt -2)) (sqrt (log u1)))) (* 1/9 (* (* (pow u2 2) (* (pow (PI) 4) (sqrt -2))) (sqrt (log u1)))))))>
#<alt (+ (* 1/6 (* (sqrt (log u1)) (sqrt -2))) (* (pow u2 2) (+ (* -1/3 (* (* (pow (PI) 2) (sqrt -2)) (sqrt (log u1)))) (* (pow u2 2) (+ (* -2/135 (* (* (pow u2 2) (* (pow (PI) 6) (sqrt -2))) (sqrt (log u1)))) (* 1/9 (* (* (pow (PI) 4) (sqrt -2)) (sqrt (log u1)))))))))>
#<alt (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1))))>
#<alt (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1))))>
#<alt (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1))))>
#<alt (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1))))>
#<alt (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1))))>
#<alt (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1))))>
#<alt (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1))))>
#<alt (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1))))>
#<alt (* 1/6 (* (sqrt (log u1)) (sqrt -2)))>
#<alt (* 1/6 (* (sqrt (log u1)) (sqrt -2)))>
#<alt (* 1/6 (* (sqrt (log u1)) (sqrt -2)))>
#<alt (* 1/6 (* (sqrt (log u1)) (sqrt -2)))>
#<alt (* 1/6 (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1))))>
#<alt (* 1/6 (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1))))>
#<alt (* 1/6 (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1))))>
#<alt (* 1/6 (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1))))>
#<alt (* 1/6 (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))))>
#<alt (* 1/6 (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))))>
#<alt (* 1/6 (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))))>
#<alt (* 1/6 (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))))>
#<alt (* (sqrt (log u1)) (sqrt -2))>
#<alt (* (sqrt (log u1)) (sqrt -2))>
#<alt (* (sqrt (log u1)) (sqrt -2))>
#<alt (* (sqrt (log u1)) (sqrt -2))>
#<alt (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1)))>
#<alt (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1)))>
#<alt (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1)))>
#<alt (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1)))>
#<alt (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))>
#<alt (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))>
#<alt (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))>
#<alt (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))>
#<alt (* u2 (PI))>
#<alt (* u2 (PI))>
#<alt (* u2 (PI))>
#<alt (* u2 (PI))>
#<alt (* u2 (PI))>
#<alt (* u2 (PI))>
#<alt (* u2 (PI))>
#<alt (* u2 (PI))>
#<alt (* u2 (PI))>
#<alt (* u2 (PI))>
#<alt (* u2 (PI))>
#<alt (* u2 (PI))>
Calls

21 calls:

TimeVariablePointExpression
28.0ms
u1
@0
(+ 1/2 (* (* 1/6 (sqrt (* -2 (log u1)))) (cos (* 2 (* (PI) u2)))))
20.0ms
u1
@-inf
(+ 1/2 (* (* 1/6 (sqrt (* -2 (log u1)))) (cos (* 2 (* (PI) u2)))))
13.0ms
u2
@inf
(+ 1/2 (* (* 1/6 (sqrt (* -2 (log u1)))) (cos (* 2 (* (PI) u2)))))
9.0ms
u1
@inf
(+ 1/2 (* (* 1/6 (sqrt (* -2 (log u1)))) (cos (* 2 (* (PI) u2)))))
1.0ms
u2
@0
(+ 1/2 (* (* 1/6 (sqrt (* -2 (log u1)))) (cos (* 2 (* (PI) u2)))))

rewrite491.0ms (4.5%)

Algorithm
1×batch-egg-rewrite
Rules
2986×*-lowering-*.f32
2986×*-lowering-*.f64
1892×fma-lowering-fma.f32
1892×fma-lowering-fma.f64
1778×fmsub-define
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01645
16944
240044
3398544
0828644
Stop Event
1×iter limit
1×node limit
Counts
5 → 124
Calls
Call 1
Inputs
(+ 1/2 (* (* 1/6 (sqrt (* -2 (log u1)))) (cos (* 2 (* (PI) u2)))))
(* (* 1/6 (sqrt (* -2 (log u1)))) (cos (* 2 (* (PI) u2))))
(* 1/6 (sqrt (* -2 (log u1))))
(sqrt (* -2 (log u1)))
(* (PI) u2)
Outputs
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))))))
(+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))))) #s(literal 1/2 binary64))
(+.f64 (/.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))) (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal -1/6 binary64))))) (neg.f64 (/.f64 (pow.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))))) #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))) (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal -1/6 binary64)))))))
(-.f64 (/.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))) (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal -1/6 binary64))))) (/.f64 (pow.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))))) #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))) (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal -1/6 binary64))))))
(-.f64 (/.f64 (pow.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))))) #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))))) #s(literal -1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))))) #s(literal -1/2 binary64))))
(fma.f64 #s(literal 1/6 binary64) (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))) #s(literal 1/2 binary64))
(fma.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))) #s(literal 1/2 binary64))
(fma.f64 (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)))) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))) #s(literal 1/2 binary64))
(fma.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)))) #s(literal 1/2 binary64))
(fma.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))) (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal -1/6 binary64))))) (neg.f64 (/.f64 (pow.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))))) #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))) (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal -1/6 binary64)))))))
(fma.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))) #s(literal 1/6 binary64) #s(literal 1/2 binary64))
(fma.f64 (*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal 1/2 binary64))
(fma.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))))) #s(literal 2 binary64)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))))) (neg.f64 (/.f64 (pow.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))))) #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))) (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal -1/6 binary64)))))))
(fma.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))))) #s(literal 3 binary64)))) (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))) (+.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))) #s(literal 1/36 binary64)) #s(literal 1/12 binary64)))) (neg.f64 (/.f64 (pow.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))))) #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))) (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal -1/6 binary64)))))))
(neg.f64 (/.f64 (+.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))))) #s(literal 3 binary64))) (+.f64 (neg.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))) (-.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))) #s(literal 1/36 binary64)) #s(literal 1/12 binary64)))) #s(literal -1/4 binary64))))
(neg.f64 (/.f64 (-.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))))) #s(literal 2 binary64))) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))) (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal -1/6 binary64)))))))
(neg.f64 (/.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))))) #s(literal 3 binary64)))) (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))) (-.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))) #s(literal 1/36 binary64)) #s(literal 1/12 binary64))))))
(neg.f64 (/.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))))) #s(literal 2 binary64)))) (+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))) (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal -1/6 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))))))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))))))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))))) #s(literal -1/2 binary64)) (+.f64 (pow.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))))) #s(literal 2 binary64)) #s(literal -1/4 binary64))))
(/.f64 (+.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))))) #s(literal 3 binary64))) (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))) (-.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))) #s(literal 1/36 binary64)) #s(literal 1/12 binary64)))))
(/.f64 (-.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))))) #s(literal 2 binary64))) (+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))) (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal -1/6 binary64)))))
(/.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))))) #s(literal 3 binary64)))) (+.f64 (neg.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))) (-.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))) #s(literal 1/36 binary64)) #s(literal 1/12 binary64)))) #s(literal -1/4 binary64)))
(/.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))))) #s(literal 2 binary64)))) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))) (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal -1/6 binary64))))))
(/.f64 (+.f64 #s(literal 1/512 binary64) (pow.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))))) #s(literal 9 binary64))) (*.f64 (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))) (-.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))) #s(literal 1/36 binary64)) #s(literal 1/12 binary64)))) (+.f64 #s(literal 1/64 binary64) (-.f64 (pow.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))))) #s(literal 6 binary64)) (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))) (*.f64 #s(literal 1/12 binary64) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))))) #s(literal 3 binary64))))))
(/.f64 (-.f64 #s(literal 1/64 binary64) (pow.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))))) #s(literal 6 binary64))) (*.f64 (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))) (-.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))) #s(literal 1/36 binary64)) #s(literal 1/12 binary64)))) (-.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))))) #s(literal 3 binary64)))))
(/.f64 (-.f64 #s(literal 1/64 binary64) (pow.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))))) #s(literal 6 binary64))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))) (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal -1/6 binary64)))) (+.f64 (+.f64 #s(literal 1/16 binary64) (pow.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))))) #s(literal 4 binary64))) (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))) (*.f64 #s(literal 1/12 binary64) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))))) #s(literal 2 binary64)))))
(/.f64 (+.f64 (pow.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))))) #s(literal 2 binary64)) #s(literal -1/4 binary64)) (+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))))) #s(literal -1/2 binary64)))
(/.f64 (-.f64 #s(literal 1/16 binary64) (pow.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))))) #s(literal 4 binary64))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))) (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal -1/6 binary64)))) (+.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))))) #s(literal 2 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))))))))
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(*.f64 (*.f64 (*.f64 u2 (sqrt.f64 (PI.f64))) #s(literal 1 binary64)) (sqrt.f64 (PI.f64)))
(*.f64 (*.f64 (*.f64 u2 (sqrt.f64 (PI.f64))) (cbrt.f64 (PI.f64))) (pow.f64 (PI.f64) #s(literal 1/6 binary64)))
(*.f64 (*.f64 (*.f64 u2 (sqrt.f64 (PI.f64))) (pow.f64 (PI.f64) #s(literal 1/4 binary64))) (pow.f64 (PI.f64) #s(literal 1/4 binary64)))

simplify301.0ms (2.8%)

Algorithm
1×egg-herbie
Rules
5942×+-lowering-+.f64
5942×+-lowering-+.f32
5100×*-lowering-*.f32
5100×*-lowering-*.f64
2876×distribute-lft-in
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
0811268
12101219
27161195
327301171
435201165
554071165
668371165
769931165
870891165
971591165
1071991165
1172151165
083561165
Stop Event
1×iter limit
1×node limit
Counts
84 → 84
Calls
Call 1
Inputs
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))))
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))))
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))))
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))))
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -2) (sqrt -1))) (sqrt (log (/ 1 u1))))))
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -2) (sqrt -1))) (sqrt (log (/ 1 u1))))))
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -2) (sqrt -1))) (sqrt (log (/ 1 u1))))))
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -2) (sqrt -1))) (sqrt (log (/ 1 u1))))))
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))))
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))))
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))))
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))))
(+ 1/2 (* 1/6 (* (sqrt (log u1)) (sqrt -2))))
(+ 1/2 (+ (* -1/3 (* (* (pow u2 2) (* (pow (PI) 2) (sqrt -2))) (sqrt (log u1)))) (* 1/6 (* (sqrt (log u1)) (sqrt -2)))))
(+ 1/2 (+ (* 1/6 (* (sqrt (log u1)) (sqrt -2))) (* (pow u2 2) (+ (* -1/3 (* (* (pow (PI) 2) (sqrt -2)) (sqrt (log u1)))) (* 1/9 (* (* (pow u2 2) (* (pow (PI) 4) (sqrt -2))) (sqrt (log u1))))))))
(+ 1/2 (+ (* 1/6 (* (sqrt (log u1)) (sqrt -2))) (* (pow u2 2) (+ (* -1/3 (* (* (pow (PI) 2) (sqrt -2)) (sqrt (log u1)))) (* (pow u2 2) (+ (* -2/135 (* (* (pow u2 2) (* (pow (PI) 6) (sqrt -2))) (sqrt (log u1)))) (* 1/9 (* (* (pow (PI) 4) (sqrt -2)) (sqrt (log u1))))))))))
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))))
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))))
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))))
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))))
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))))
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))))
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))))
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))))
(* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1))))
(* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1))))
(* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1))))
(* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1))))
(* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -2) (sqrt -1))) (sqrt (log (/ 1 u1)))))
(* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -2) (sqrt -1))) (sqrt (log (/ 1 u1)))))
(* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -2) (sqrt -1))) (sqrt (log (/ 1 u1)))))
(* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -2) (sqrt -1))) (sqrt (log (/ 1 u1)))))
(* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))))
(* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))))
(* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))))
(* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))))
(* 1/6 (* (sqrt (log u1)) (sqrt -2)))
(+ (* -1/3 (* (* (pow u2 2) (* (pow (PI) 2) (sqrt -2))) (sqrt (log u1)))) (* 1/6 (* (sqrt (log u1)) (sqrt -2))))
(+ (* 1/6 (* (sqrt (log u1)) (sqrt -2))) (* (pow u2 2) (+ (* -1/3 (* (* (pow (PI) 2) (sqrt -2)) (sqrt (log u1)))) (* 1/9 (* (* (pow u2 2) (* (pow (PI) 4) (sqrt -2))) (sqrt (log u1)))))))
(+ (* 1/6 (* (sqrt (log u1)) (sqrt -2))) (* (pow u2 2) (+ (* -1/3 (* (* (pow (PI) 2) (sqrt -2)) (sqrt (log u1)))) (* (pow u2 2) (+ (* -2/135 (* (* (pow u2 2) (* (pow (PI) 6) (sqrt -2))) (sqrt (log u1)))) (* 1/9 (* (* (pow (PI) 4) (sqrt -2)) (sqrt (log u1)))))))))
(* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1))))
(* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1))))
(* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1))))
(* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1))))
(* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1))))
(* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1))))
(* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1))))
(* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1))))
(* 1/6 (* (sqrt (log u1)) (sqrt -2)))
(* 1/6 (* (sqrt (log u1)) (sqrt -2)))
(* 1/6 (* (sqrt (log u1)) (sqrt -2)))
(* 1/6 (* (sqrt (log u1)) (sqrt -2)))
(* 1/6 (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1))))
(* 1/6 (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1))))
(* 1/6 (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1))))
(* 1/6 (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1))))
(* 1/6 (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))))
(* 1/6 (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))))
(* 1/6 (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))))
(* 1/6 (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))))
(* (sqrt (log u1)) (sqrt -2))
(* (sqrt (log u1)) (sqrt -2))
(* (sqrt (log u1)) (sqrt -2))
(* (sqrt (log u1)) (sqrt -2))
(* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1)))
(* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1)))
(* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1)))
(* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1)))
(* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))
(* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))
(* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))
(* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))
(* u2 (PI))
(* u2 (PI))
(* u2 (PI))
(* u2 (PI))
(* u2 (PI))
(* u2 (PI))
(* u2 (PI))
(* u2 (PI))
(* u2 (PI))
(* u2 (PI))
(* u2 (PI))
(* u2 (PI))
Outputs
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))))
(+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 u2 (PI.f64)))) (*.f64 (sqrt.f64 (log.f64 u1)) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -2 binary64))))))
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))))
(+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 u2 (PI.f64)))) (*.f64 (sqrt.f64 (log.f64 u1)) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -2 binary64))))))
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))))
(+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 u2 (PI.f64)))) (*.f64 (sqrt.f64 (log.f64 u1)) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -2 binary64))))))
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))))
(+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 u2 (PI.f64)))) (*.f64 (sqrt.f64 (log.f64 u1)) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -2 binary64))))))
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -2) (sqrt -1))) (sqrt (log (/ 1 u1))))))
(+.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (log.f64 (/.f64 #s(literal 1 binary64) u1))) (*.f64 (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 u2 (PI.f64)))) (sqrt.f64 #s(literal -2 binary64))) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -1 binary64))))))
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -2) (sqrt -1))) (sqrt (log (/ 1 u1))))))
(+.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (log.f64 (/.f64 #s(literal 1 binary64) u1))) (*.f64 (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 u2 (PI.f64)))) (sqrt.f64 #s(literal -2 binary64))) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -1 binary64))))))
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -2) (sqrt -1))) (sqrt (log (/ 1 u1))))))
(+.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (log.f64 (/.f64 #s(literal 1 binary64) u1))) (*.f64 (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 u2 (PI.f64)))) (sqrt.f64 #s(literal -2 binary64))) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -1 binary64))))))
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -2) (sqrt -1))) (sqrt (log (/ 1 u1))))))
(+.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (log.f64 (/.f64 #s(literal 1 binary64) u1))) (*.f64 (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 u2 (PI.f64)))) (sqrt.f64 #s(literal -2 binary64))) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -1 binary64))))))
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))))
(+.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) u1)))) (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 u2 (PI.f64)))) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -2 binary64))))))
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))))
(+.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) u1)))) (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 u2 (PI.f64)))) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -2 binary64))))))
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))))
(+.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) u1)))) (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 u2 (PI.f64)))) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -2 binary64))))))
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))))
(+.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) u1)))) (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 u2 (PI.f64)))) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -2 binary64))))))
(+ 1/2 (* 1/6 (* (sqrt (log u1)) (sqrt -2))))
(+.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (log.f64 u1)) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -2 binary64)))))
(+ 1/2 (+ (* -1/3 (* (* (pow u2 2) (* (pow (PI) 2) (sqrt -2))) (sqrt (log u1)))) (* 1/6 (* (sqrt (log u1)) (sqrt -2)))))
(+.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (log.f64 u1)) (*.f64 (sqrt.f64 #s(literal -2 binary64)) (+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal -1/3 binary64) (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 u2 u2))))))))
(+ 1/2 (+ (* 1/6 (* (sqrt (log u1)) (sqrt -2))) (* (pow u2 2) (+ (* -1/3 (* (* (pow (PI) 2) (sqrt -2)) (sqrt (log u1)))) (* 1/9 (* (* (pow u2 2) (* (pow (PI) 4) (sqrt -2))) (sqrt (log u1))))))))
(+.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (log.f64 u1)) (*.f64 (sqrt.f64 #s(literal -2 binary64)) (+.f64 (*.f64 (*.f64 u2 u2) (+.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 (PI.f64) (PI.f64))) (*.f64 (*.f64 #s(literal 1/9 binary64) (pow.f64 (PI.f64) #s(literal 4 binary64))) (*.f64 u2 u2)))) #s(literal 1/6 binary64)))))
(+ 1/2 (+ (* 1/6 (* (sqrt (log u1)) (sqrt -2))) (* (pow u2 2) (+ (* -1/3 (* (* (pow (PI) 2) (sqrt -2)) (sqrt (log u1)))) (* (pow u2 2) (+ (* -2/135 (* (* (pow u2 2) (* (pow (PI) 6) (sqrt -2))) (sqrt (log u1)))) (* 1/9 (* (* (pow (PI) 4) (sqrt -2)) (sqrt (log u1))))))))))
(+.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (log.f64 u1)) (+.f64 (*.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -2 binary64))) (*.f64 (*.f64 u2 u2) (*.f64 (sqrt.f64 #s(literal -2 binary64)) (+.f64 (*.f64 (*.f64 u2 u2) (+.f64 (*.f64 (*.f64 (*.f64 u2 u2) #s(literal -2/135 binary64)) (pow.f64 (PI.f64) #s(literal 6 binary64))) (*.f64 #s(literal 1/9 binary64) (pow.f64 (PI.f64) #s(literal 4 binary64))))) (*.f64 #s(literal -1/3 binary64) (*.f64 (PI.f64) (PI.f64)))))))))
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))))
(+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 u2 (PI.f64)))) (*.f64 (sqrt.f64 (log.f64 u1)) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -2 binary64))))))
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))))
(+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 u2 (PI.f64)))) (*.f64 (sqrt.f64 (log.f64 u1)) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -2 binary64))))))
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))))
(+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 u2 (PI.f64)))) (*.f64 (sqrt.f64 (log.f64 u1)) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -2 binary64))))))
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))))
(+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 u2 (PI.f64)))) (*.f64 (sqrt.f64 (log.f64 u1)) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -2 binary64))))))
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))))
(+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 u2 (PI.f64)))) (*.f64 (sqrt.f64 (log.f64 u1)) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -2 binary64))))))
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))))
(+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 u2 (PI.f64)))) (*.f64 (sqrt.f64 (log.f64 u1)) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -2 binary64))))))
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))))
(+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 u2 (PI.f64)))) (*.f64 (sqrt.f64 (log.f64 u1)) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -2 binary64))))))
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))))
(+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 u2 (PI.f64)))) (*.f64 (sqrt.f64 (log.f64 u1)) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -2 binary64))))))
(* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1))))
(*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 u2 (PI.f64)))) (*.f64 (sqrt.f64 (log.f64 u1)) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -2 binary64)))))
(* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1))))
(*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 u2 (PI.f64)))) (*.f64 (sqrt.f64 (log.f64 u1)) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -2 binary64)))))
(* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1))))
(*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 u2 (PI.f64)))) (*.f64 (sqrt.f64 (log.f64 u1)) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -2 binary64)))))
(* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1))))
(*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 u2 (PI.f64)))) (*.f64 (sqrt.f64 (log.f64 u1)) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -2 binary64)))))
(* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -2) (sqrt -1))) (sqrt (log (/ 1 u1)))))
(*.f64 (sqrt.f64 (log.f64 (/.f64 #s(literal 1 binary64) u1))) (*.f64 (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 u2 (PI.f64)))) (sqrt.f64 #s(literal -2 binary64))) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -1 binary64)))))
(* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -2) (sqrt -1))) (sqrt (log (/ 1 u1)))))
(*.f64 (sqrt.f64 (log.f64 (/.f64 #s(literal 1 binary64) u1))) (*.f64 (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 u2 (PI.f64)))) (sqrt.f64 #s(literal -2 binary64))) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -1 binary64)))))
(* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -2) (sqrt -1))) (sqrt (log (/ 1 u1)))))
(*.f64 (sqrt.f64 (log.f64 (/.f64 #s(literal 1 binary64) u1))) (*.f64 (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 u2 (PI.f64)))) (sqrt.f64 #s(literal -2 binary64))) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -1 binary64)))))
(* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -2) (sqrt -1))) (sqrt (log (/ 1 u1)))))
(*.f64 (sqrt.f64 (log.f64 (/.f64 #s(literal 1 binary64) u1))) (*.f64 (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 u2 (PI.f64)))) (sqrt.f64 #s(literal -2 binary64))) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -1 binary64)))))
(* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))))
(*.f64 (sqrt.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) u1)))) (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 u2 (PI.f64)))) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -2 binary64)))))
(* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))))
(*.f64 (sqrt.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) u1)))) (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 u2 (PI.f64)))) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -2 binary64)))))
(* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))))
(*.f64 (sqrt.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) u1)))) (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 u2 (PI.f64)))) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -2 binary64)))))
(* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))))
(*.f64 (sqrt.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) u1)))) (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 u2 (PI.f64)))) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -2 binary64)))))
(* 1/6 (* (sqrt (log u1)) (sqrt -2)))
(*.f64 (sqrt.f64 (log.f64 u1)) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -2 binary64))))
(+ (* -1/3 (* (* (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)) (+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal -1/3 binary64) (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 u2 u2)))))))
(+ (* 1/6 (* (sqrt (log u1)) (sqrt -2))) (* (pow u2 2) (+ (* -1/3 (* (* (pow (PI) 2) (sqrt -2)) (sqrt (log u1)))) (* 1/9 (* (* (pow u2 2) (* (pow (PI) 4) (sqrt -2))) (sqrt (log u1)))))))
(*.f64 (sqrt.f64 (log.f64 u1)) (*.f64 (sqrt.f64 #s(literal -2 binary64)) (+.f64 (*.f64 (*.f64 u2 u2) (+.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 (PI.f64) (PI.f64))) (*.f64 (*.f64 #s(literal 1/9 binary64) (pow.f64 (PI.f64) #s(literal 4 binary64))) (*.f64 u2 u2)))) #s(literal 1/6 binary64))))
(+ (* 1/6 (* (sqrt (log u1)) (sqrt -2))) (* (pow u2 2) (+ (* -1/3 (* (* (pow (PI) 2) (sqrt -2)) (sqrt (log u1)))) (* (pow u2 2) (+ (* -2/135 (* (* (pow u2 2) (* (pow (PI) 6) (sqrt -2))) (sqrt (log u1)))) (* 1/9 (* (* (pow (PI) 4) (sqrt -2)) (sqrt (log u1)))))))))
(*.f64 (sqrt.f64 (log.f64 u1)) (+.f64 (*.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -2 binary64))) (*.f64 (*.f64 u2 u2) (*.f64 (sqrt.f64 #s(literal -2 binary64)) (+.f64 (*.f64 (*.f64 u2 u2) (+.f64 (*.f64 (*.f64 (*.f64 u2 u2) #s(literal -2/135 binary64)) (pow.f64 (PI.f64) #s(literal 6 binary64))) (*.f64 #s(literal 1/9 binary64) (pow.f64 (PI.f64) #s(literal 4 binary64))))) (*.f64 #s(literal -1/3 binary64) (*.f64 (PI.f64) (PI.f64))))))))
(* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1))))
(*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 u2 (PI.f64)))) (*.f64 (sqrt.f64 (log.f64 u1)) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -2 binary64)))))
(* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1))))
(*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 u2 (PI.f64)))) (*.f64 (sqrt.f64 (log.f64 u1)) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -2 binary64)))))
(* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1))))
(*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 u2 (PI.f64)))) (*.f64 (sqrt.f64 (log.f64 u1)) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -2 binary64)))))
(* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1))))
(*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 u2 (PI.f64)))) (*.f64 (sqrt.f64 (log.f64 u1)) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -2 binary64)))))
(* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1))))
(*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 u2 (PI.f64)))) (*.f64 (sqrt.f64 (log.f64 u1)) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -2 binary64)))))
(* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1))))
(*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 u2 (PI.f64)))) (*.f64 (sqrt.f64 (log.f64 u1)) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -2 binary64)))))
(* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1))))
(*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 u2 (PI.f64)))) (*.f64 (sqrt.f64 (log.f64 u1)) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -2 binary64)))))
(* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1))))
(*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 u2 (PI.f64)))) (*.f64 (sqrt.f64 (log.f64 u1)) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -2 binary64)))))
(* 1/6 (* (sqrt (log u1)) (sqrt -2)))
(*.f64 (sqrt.f64 (log.f64 u1)) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -2 binary64))))
(* 1/6 (* (sqrt (log u1)) (sqrt -2)))
(*.f64 (sqrt.f64 (log.f64 u1)) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -2 binary64))))
(* 1/6 (* (sqrt (log u1)) (sqrt -2)))
(*.f64 (sqrt.f64 (log.f64 u1)) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -2 binary64))))
(* 1/6 (* (sqrt (log u1)) (sqrt -2)))
(*.f64 (sqrt.f64 (log.f64 u1)) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -2 binary64))))
(* 1/6 (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1))))
(*.f64 (sqrt.f64 (log.f64 (/.f64 #s(literal 1 binary64) u1))) (*.f64 (sqrt.f64 #s(literal -2 binary64)) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -1 binary64)))))
(* 1/6 (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1))))
(*.f64 (sqrt.f64 (log.f64 (/.f64 #s(literal 1 binary64) u1))) (*.f64 (sqrt.f64 #s(literal -2 binary64)) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -1 binary64)))))
(* 1/6 (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1))))
(*.f64 (sqrt.f64 (log.f64 (/.f64 #s(literal 1 binary64) u1))) (*.f64 (sqrt.f64 #s(literal -2 binary64)) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -1 binary64)))))
(* 1/6 (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1))))
(*.f64 (sqrt.f64 (log.f64 (/.f64 #s(literal 1 binary64) u1))) (*.f64 (sqrt.f64 #s(literal -2 binary64)) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -1 binary64)))))
(* 1/6 (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))))
(*.f64 (sqrt.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) u1)))) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -2 binary64))))
(* 1/6 (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))))
(*.f64 (sqrt.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) u1)))) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -2 binary64))))
(* 1/6 (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))))
(*.f64 (sqrt.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) u1)))) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -2 binary64))))
(* 1/6 (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))))
(*.f64 (sqrt.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) u1)))) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -2 binary64))))
(* (sqrt (log u1)) (sqrt -2))
(*.f64 (sqrt.f64 #s(literal -2 binary64)) (sqrt.f64 (log.f64 u1)))
(* (sqrt (log u1)) (sqrt -2))
(*.f64 (sqrt.f64 #s(literal -2 binary64)) (sqrt.f64 (log.f64 u1)))
(* (sqrt (log u1)) (sqrt -2))
(*.f64 (sqrt.f64 #s(literal -2 binary64)) (sqrt.f64 (log.f64 u1)))
(* (sqrt (log u1)) (sqrt -2))
(*.f64 (sqrt.f64 #s(literal -2 binary64)) (sqrt.f64 (log.f64 u1)))
(* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1)))
(*.f64 (*.f64 (sqrt.f64 #s(literal -2 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (log.f64 (/.f64 #s(literal 1 binary64) u1))))
(* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1)))
(*.f64 (*.f64 (sqrt.f64 #s(literal -2 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (log.f64 (/.f64 #s(literal 1 binary64) u1))))
(* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1)))
(*.f64 (*.f64 (sqrt.f64 #s(literal -2 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (log.f64 (/.f64 #s(literal 1 binary64) u1))))
(* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1)))
(*.f64 (*.f64 (sqrt.f64 #s(literal -2 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (log.f64 (/.f64 #s(literal 1 binary64) u1))))
(* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))
(*.f64 (sqrt.f64 #s(literal -2 binary64)) (sqrt.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) u1)))))
(* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))
(*.f64 (sqrt.f64 #s(literal -2 binary64)) (sqrt.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) u1)))))
(* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))
(*.f64 (sqrt.f64 #s(literal -2 binary64)) (sqrt.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) u1)))))
(* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))
(*.f64 (sqrt.f64 #s(literal -2 binary64)) (sqrt.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) u1)))))
(* u2 (PI))
(*.f64 u2 (PI.f64))
(* u2 (PI))
(*.f64 u2 (PI.f64))
(* u2 (PI))
(*.f64 u2 (PI.f64))
(* u2 (PI))
(*.f64 u2 (PI.f64))
(* u2 (PI))
(*.f64 u2 (PI.f64))
(* u2 (PI))
(*.f64 u2 (PI.f64))
(* u2 (PI))
(*.f64 u2 (PI.f64))
(* u2 (PI))
(*.f64 u2 (PI.f64))
(* u2 (PI))
(*.f64 u2 (PI.f64))
(* u2 (PI))
(*.f64 u2 (PI.f64))
(* u2 (PI))
(*.f64 u2 (PI.f64))
(* u2 (PI))
(*.f64 u2 (PI.f64))

eval21.0ms (0.2%)

Compiler

Compiled 6246 to 544 computations (91.3% saved)

prune41.0ms (0.4%)

Pruning

22 alts after pruning (22 fresh and 0 done)

PrunedKeptTotal
New18622208
Fresh000
Picked101
Done000
Total18722209
Accuracy
100.0%
Counts
209 → 22
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.4%
(fma.f64 (*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal 1/2 binary64))
98.8%
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))) (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal -1/6 binary64))))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))))) #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))) (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal -1/6 binary64))))) #s(literal 3 binary64))) (+.f64 (*.f64 (/.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))) (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal -1/6 binary64))))) (/.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))) (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal -1/6 binary64)))))) (+.f64 (*.f64 (/.f64 (pow.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))))) #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))) (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal -1/6 binary64))))) (/.f64 (pow.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))))) #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))) (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal -1/6 binary64)))))) (*.f64 (/.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))) (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal -1/6 binary64))))) (/.f64 (pow.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))))) #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))) (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal -1/6 binary64)))))))))
99.0%
(/.f64 (-.f64 (*.f64 (/.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))) (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal -1/6 binary64))))) (/.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))) (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal -1/6 binary64)))))) (*.f64 (/.f64 (pow.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))))) #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))) (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal -1/6 binary64))))) (/.f64 (pow.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))))) #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))) (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal -1/6 binary64))))))) (+.f64 (/.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))) (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal -1/6 binary64))))) (/.f64 (pow.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))))) #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))) (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal -1/6 binary64)))))))
99.3%
(/.f64 (-.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))))) #s(literal 2 binary64))) (+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))) (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal -1/6 binary64)))))
99.1%
(/.f64 (-.f64 #s(literal 1/16 binary64) (pow.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))))) #s(literal 4 binary64))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))) (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal -1/6 binary64)))) (+.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))))) #s(literal 2 binary64)))))
99.1%
(/.f64 (-.f64 #s(literal 1/64 binary64) (pow.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))))) #s(literal 6 binary64))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))) (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal -1/6 binary64)))) (+.f64 (+.f64 #s(literal 1/16 binary64) (pow.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))))) #s(literal 4 binary64))) (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))) (*.f64 #s(literal 1/12 binary64) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))))) #s(literal 2 binary64)))))
98.7%
(/.f64 (+.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))))) #s(literal 3 binary64))) (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))) (-.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))) #s(literal 1/36 binary64)) #s(literal 1/12 binary64)))))
99.0%
(/.f64 (*.f64 (-.f64 #s(literal 1/16 binary64) (pow.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))))) #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))) (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal -1/6 binary64)))))) (+.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))))) #s(literal 2 binary64))))
99.0%
(/.f64 (*.f64 (-.f64 #s(literal 1/64 binary64) (pow.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))))) #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))) (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal -1/6 binary64)))))) (+.f64 (+.f64 #s(literal 1/16 binary64) (pow.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))))) #s(literal 4 binary64))) (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))) (*.f64 #s(literal 1/12 binary64) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))))) #s(literal 2 binary64))))
▶98.6%
(/.f64 (*.f64 (-.f64 #s(literal 1/64 binary64) (pow.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))))) #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))) (-.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))) #s(literal 1/36 binary64)) #s(literal 1/12 binary64)))))) (-.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))))) #s(literal 3 binary64))))
99.3%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))))))))
99.4%
(+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))))) #s(literal 1/2 binary64))
99.2%
(+.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/4 binary64)) (*.f64 (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/4 binary64)) (*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))))))
99.3%
(+.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 (cos.f64 (*.f64 (PI.f64) u2)) (sin.f64 (*.f64 (PI.f64) u2))) (*.f64 (-.f64 (cos.f64 (*.f64 (PI.f64) u2)) (sin.f64 (*.f64 (PI.f64) u2))) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)))))))
99.2%
(+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/4 binary64)) #s(literal 2 binary64))) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))))
▶99.4%
(+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 (*.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal 1/4 binary64))) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))))
▶98.9%
(+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 #s(literal 1/6 binary64) (exp.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)))))) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))))
99.4%
(+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)))))
▶0.0%
(+.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (log.f64 u1)) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -2 binary64)))))
99.0%
(*.f64 (/.f64 (-.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))))) #s(literal 2 binary64))) (-.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))))) #s(literal 3 binary64)))) (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))) (+.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))) #s(literal 1/36 binary64)) #s(literal 1/12 binary64)))))
98.6%
(*.f64 (/.f64 (+.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))))) #s(literal 3 binary64))) (-.f64 #s(literal 1/16 binary64) (pow.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))) (-.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))) #s(literal 1/36 binary64)) #s(literal 1/12 binary64))) #s(literal 2 binary64)))) (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))) (-.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))) #s(literal 1/36 binary64)) #s(literal 1/12 binary64)))))
▶99.2%
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))) (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal -1/6 binary64))))) (-.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))))) #s(literal 2 binary64))))
Compiler

Compiled 2414 to 1044 computations (56.8% saved)

simplify248.0ms (2.3%)

Algorithm
1×egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
✓cost-diff6400
(+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))) (-.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))) #s(literal 1/36 binary64)) #s(literal 1/12 binary64))))
✓cost-diff6400
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))) (-.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))) #s(literal 1/36 binary64)) #s(literal 1/12 binary64)))))
✓cost-diff6528
(*.f64 (-.f64 #s(literal 1/64 binary64) (pow.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))))) #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))) (-.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))) #s(literal 1/36 binary64)) #s(literal 1/12 binary64))))))
✓cost-diff6528
(/.f64 (*.f64 (-.f64 #s(literal 1/64 binary64) (pow.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))))) #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))) (-.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))) #s(literal 1/36 binary64)) #s(literal 1/12 binary64)))))) (-.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))))) #s(literal 3 binary64))))
✓cost-diff0
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))) (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal -1/6 binary64)))))
✓cost-diff6080
(pow.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))))) #s(literal 2 binary64))
✓cost-diff6080
(-.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))))) #s(literal 2 binary64)))
✓cost-diff6208
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))) (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal -1/6 binary64))))) (-.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))))) #s(literal 2 binary64))))
✓cost-diff6528
(exp.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)))))
✓cost-diff6528
(*.f64 #s(literal 1/6 binary64) (exp.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))))))
✓cost-diff6528
(*.f64 (*.f64 #s(literal 1/6 binary64) (exp.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)))))) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))))
✓cost-diff6528
(+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 #s(literal 1/6 binary64) (exp.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)))))) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))))
✓cost-diff0
(log.f64 u1)
✓cost-diff0
(sqrt.f64 (log.f64 u1))
✓cost-diff0
(*.f64 (sqrt.f64 (log.f64 u1)) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -2 binary64))))
✓cost-diff0
(+.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (log.f64 u1)) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -2 binary64)))))
✓cost-diff192
(pow.f64 (*.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal 1/4 binary64))
✓cost-diff192
(*.f64 #s(literal 1/6 binary64) (pow.f64 (*.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal 1/4 binary64)))
✓cost-diff192
(*.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 (*.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal 1/4 binary64))) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))))
✓cost-diff192
(+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 (*.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal 1/4 binary64))) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))))
Rules
4218×*-lowering-*.f32
4218×*-lowering-*.f64
1640×sum5-define
1588×fma-lowering-fma.f32
1588×fma-lowering-fma.f64
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
058786
1135757
2328747
31174742
42828737
54864737
08355737
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(+ 1/2 (* (* 1/6 (pow (* (* -2 (log u1)) (* -2 (log u1))) 1/4)) (cos (* 2 (* (PI) u2)))))
1/2
(* (* 1/6 (pow (* (* -2 (log u1)) (* -2 (log u1))) 1/4)) (cos (* 2 (* (PI) u2))))
(* 1/6 (pow (* (* -2 (log u1)) (* -2 (log u1))) 1/4))
1/6
(pow (* (* -2 (log u1)) (* -2 (log u1))) 1/4)
(* (* -2 (log u1)) (* -2 (log u1)))
(* -2 (log u1))
-2
(log u1)
u1
1/4
(cos (* 2 (* (PI) u2)))
(* 2 (* (PI) u2))
2
(* (PI) u2)
(PI)
u2
(+ 1/2 (* (sqrt (log u1)) (* 1/6 (sqrt -2))))
1/2
(* (sqrt (log u1)) (* 1/6 (sqrt -2)))
(sqrt (log u1))
(log u1)
u1
(* 1/6 (sqrt -2))
1/6
(sqrt -2)
-2
(+ 1/2 (* (* 1/6 (exp (* 1/2 (log (* -2 (log u1)))))) (cos (* 2 (* (PI) u2)))))
1/2
(* (* 1/6 (exp (* 1/2 (log (* -2 (log u1)))))) (cos (* 2 (* (PI) u2))))
(* 1/6 (exp (* 1/2 (log (* -2 (log u1))))))
1/6
(exp (* 1/2 (log (* -2 (log u1)))))
(* 1/2 (log (* -2 (log u1))))
(log (* -2 (log u1)))
(* -2 (log u1))
-2
(log u1)
u1
(cos (* 2 (* (PI) u2)))
(* 2 (* (PI) u2))
2
(* (PI) u2)
(PI)
u2
(* (/ 1 (+ 1/2 (* (cos (* 2 (* (PI) u2))) (* (sqrt (* -2 (log u1))) -1/6)))) (- 1/4 (pow (* 1/6 (* (sqrt (* -2 (log u1))) (cos (* 2 (* (PI) u2))))) 2)))
(/ 1 (+ 1/2 (* (cos (* 2 (* (PI) u2))) (* (sqrt (* -2 (log u1))) -1/6))))
1
(+ 1/2 (* (cos (* 2 (* (PI) u2))) (* (sqrt (* -2 (log u1))) -1/6)))
1/2
(* (cos (* 2 (* (PI) u2))) (* (sqrt (* -2 (log u1))) -1/6))
(cos (* 2 (* (PI) u2)))
(* 2 (* (PI) u2))
2
(* (PI) u2)
(PI)
u2
(* (sqrt (* -2 (log u1))) -1/6)
(sqrt (* -2 (log u1)))
(* -2 (log u1))
-2
(log u1)
u1
-1/6
(- 1/4 (pow (* 1/6 (* (sqrt (* -2 (log u1))) (cos (* 2 (* (PI) u2))))) 2))
1/4
(pow (* 1/6 (* (sqrt (* -2 (log u1))) (cos (* 2 (* (PI) u2))))) 2)
(* 1/6 (* (sqrt (* -2 (log u1))) (cos (* 2 (* (PI) u2)))))
1/6
(* (sqrt (* -2 (log u1))) (cos (* 2 (* (PI) u2))))
(/ (* (- 1/64 (pow (* 1/6 (* (sqrt (* -2 (log u1))) (cos (* 2 (* (PI) u2))))) 6)) (/ 1 (+ 1/4 (* (* (sqrt (* -2 (log u1))) (cos (* 2 (* (PI) u2)))) (- (* (* (sqrt (* -2 (log u1))) (cos (* 2 (* (PI) u2)))) 1/36) 1/12))))) (- 1/8 (pow (* 1/6 (* (sqrt (* -2 (log u1))) (cos (* 2 (* (PI) u2))))) 3)))
(* (- 1/64 (pow (* 1/6 (* (sqrt (* -2 (log u1))) (cos (* 2 (* (PI) u2))))) 6)) (/ 1 (+ 1/4 (* (* (sqrt (* -2 (log u1))) (cos (* 2 (* (PI) u2)))) (- (* (* (sqrt (* -2 (log u1))) (cos (* 2 (* (PI) u2)))) 1/36) 1/12)))))
(- 1/64 (pow (* 1/6 (* (sqrt (* -2 (log u1))) (cos (* 2 (* (PI) u2))))) 6))
1/64
(pow (* 1/6 (* (sqrt (* -2 (log u1))) (cos (* 2 (* (PI) u2))))) 6)
(* 1/6 (* (sqrt (* -2 (log u1))) (cos (* 2 (* (PI) u2)))))
1/6
(* (sqrt (* -2 (log u1))) (cos (* 2 (* (PI) u2))))
(sqrt (* -2 (log u1)))
(* -2 (log u1))
-2
(log u1)
u1
(cos (* 2 (* (PI) u2)))
(* 2 (* (PI) u2))
2
(* (PI) u2)
(PI)
u2
6
(/ 1 (+ 1/4 (* (* (sqrt (* -2 (log u1))) (cos (* 2 (* (PI) u2)))) (- (* (* (sqrt (* -2 (log u1))) (cos (* 2 (* (PI) u2)))) 1/36) 1/12))))
1
(+ 1/4 (* (* (sqrt (* -2 (log u1))) (cos (* 2 (* (PI) u2)))) (- (* (* (sqrt (* -2 (log u1))) (cos (* 2 (* (PI) u2)))) 1/36) 1/12)))
1/4
(* (* (sqrt (* -2 (log u1))) (cos (* 2 (* (PI) u2)))) (- (* (* (sqrt (* -2 (log u1))) (cos (* 2 (* (PI) u2)))) 1/36) 1/12))
(- (* (* (sqrt (* -2 (log u1))) (cos (* 2 (* (PI) u2)))) 1/36) 1/12)
(* (* (sqrt (* -2 (log u1))) (cos (* 2 (* (PI) u2)))) 1/36)
1/36
1/12
(- 1/8 (pow (* 1/6 (* (sqrt (* -2 (log u1))) (cos (* 2 (* (PI) u2))))) 3))
1/8
(pow (* 1/6 (* (sqrt (* -2 (log u1))) (cos (* 2 (* (PI) u2))))) 3)
3
Outputs
(+ 1/2 (* (* 1/6 (pow (* (* -2 (log u1)) (* -2 (log u1))) 1/4)) (cos (* 2 (* (PI) u2)))))
(+.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))))))
1/2
#s(literal 1/2 binary64)
(* (* 1/6 (pow (* (* -2 (log u1)) (* -2 (log u1))) 1/4)) (cos (* 2 (* (PI) u2))))
(*.f64 (pow.f64 (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))))
(* 1/6 (pow (* (* -2 (log u1)) (* -2 (log u1))) 1/4))
(*.f64 #s(literal 1/6 binary64) (pow.f64 (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 2 binary64)) #s(literal 1/4 binary64)))
1/6
#s(literal 1/6 binary64)
(pow (* (* -2 (log u1)) (* -2 (log u1))) 1/4)
(pow.f64 (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 2 binary64)) #s(literal 1/4 binary64))
(* (* -2 (log u1)) (* -2 (log u1)))
(pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 2 binary64))
(* -2 (log u1))
(*.f64 #s(literal -2 binary64) (log.f64 u1))
-2
#s(literal -2 binary64)
(log u1)
(log.f64 u1)
u1
1/4
#s(literal 1/4 binary64)
(cos (* 2 (* (PI) u2)))
(cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))
(* 2 (* (PI) u2))
(*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))
2
#s(literal 2 binary64)
(* (PI) u2)
(*.f64 (PI.f64) u2)
(PI)
(PI.f64)
u2
(+ 1/2 (* (sqrt (log u1)) (* 1/6 (sqrt -2))))
(+.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (log.f64 u1)) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -2 binary64)))))
1/2
#s(literal 1/2 binary64)
(* (sqrt (log u1)) (* 1/6 (sqrt -2)))
(*.f64 (sqrt.f64 (log.f64 u1)) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -2 binary64))))
(sqrt (log u1))
(sqrt.f64 (log.f64 u1))
(log u1)
(log.f64 u1)
u1
(* 1/6 (sqrt -2))
(*.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -2 binary64)))
1/6
#s(literal 1/6 binary64)
(sqrt -2)
(sqrt.f64 #s(literal -2 binary64))
-2
#s(literal -2 binary64)
(+ 1/2 (* (* 1/6 (exp (* 1/2 (log (* -2 (log u1)))))) (cos (* 2 (* (PI) u2)))))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))))))
1/2
#s(literal 1/2 binary64)
(* (* 1/6 (exp (* 1/2 (log (* -2 (log u1)))))) (cos (* 2 (* (PI) u2))))
(*.f64 #s(literal 1/6 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)))))
(* 1/6 (exp (* 1/2 (log (* -2 (log u1))))))
(*.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))))
1/6
#s(literal 1/6 binary64)
(exp (* 1/2 (log (* -2 (log u1)))))
(sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)))
(* 1/2 (log (* -2 (log u1))))
(*.f64 #s(literal 1/2 binary64) (log.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))))
(log (* -2 (log u1)))
(log.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)))
(* -2 (log u1))
(*.f64 #s(literal -2 binary64) (log.f64 u1))
-2
#s(literal -2 binary64)
(log u1)
(log.f64 u1)
u1
(cos (* 2 (* (PI) u2)))
(cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))
(* 2 (* (PI) u2))
(*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))
2
#s(literal 2 binary64)
(* (PI) u2)
(*.f64 (PI.f64) u2)
(PI)
(PI.f64)
u2
(* (/ 1 (+ 1/2 (* (cos (* 2 (* (PI) u2))) (* (sqrt (* -2 (log u1))) -1/6)))) (- 1/4 (pow (* 1/6 (* (sqrt (* -2 (log u1))) (cos (* 2 (* (PI) u2))))) 2)))
(/.f64 (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))) (*.f64 (log.f64 u1) #s(literal 2 binary64))))) (+.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))) #s(literal -1/6 binary64)))))
(/ 1 (+ 1/2 (* (cos (* 2 (* (PI) u2))) (* (sqrt (* -2 (log u1))) -1/6))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))) #s(literal -1/6 binary64)))))
1
#s(literal 1 binary64)
(+ 1/2 (* (cos (* 2 (* (PI) u2))) (* (sqrt (* -2 (log u1))) -1/6)))
(+.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))) #s(literal -1/6 binary64))))
1/2
#s(literal 1/2 binary64)
(* (cos (* 2 (* (PI) u2))) (* (sqrt (* -2 (log u1))) -1/6))
(*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))) #s(literal -1/6 binary64)))
(cos (* 2 (* (PI) u2)))
(cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))
(* 2 (* (PI) u2))
(*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))
2
#s(literal 2 binary64)
(* (PI) u2)
(*.f64 (PI.f64) u2)
(PI)
(PI.f64)
u2
(* (sqrt (* -2 (log u1))) -1/6)
(*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal -1/6 binary64))
(sqrt (* -2 (log u1)))
(sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)))
(* -2 (log u1))
(*.f64 #s(literal -2 binary64) (log.f64 u1))
-2
#s(literal -2 binary64)
(log u1)
(log.f64 u1)
u1
-1/6
#s(literal -1/6 binary64)
(- 1/4 (pow (* 1/6 (* (sqrt (* -2 (log u1))) (cos (* 2 (* (PI) u2))))) 2))
(+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))) (*.f64 (log.f64 u1) #s(literal 2 binary64)))))
1/4
#s(literal 1/4 binary64)
(pow (* 1/6 (* (sqrt (* -2 (log u1))) (cos (* 2 (* (PI) u2))))) 2)
(*.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 #s(literal -2 binary64) (log.f64 u1))) (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))))
(* 1/6 (* (sqrt (* -2 (log u1))) (cos (* 2 (* (PI) u2)))))
(*.f64 #s(literal 1/6 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)))))
1/6
#s(literal 1/6 binary64)
(* (sqrt (* -2 (log u1))) (cos (* 2 (* (PI) u2))))
(*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))))
(/ (* (- 1/64 (pow (* 1/6 (* (sqrt (* -2 (log u1))) (cos (* 2 (* (PI) u2))))) 6)) (/ 1 (+ 1/4 (* (* (sqrt (* -2 (log u1))) (cos (* 2 (* (PI) u2)))) (- (* (* (sqrt (* -2 (log u1))) (cos (* 2 (* (PI) u2)))) 1/36) 1/12))))) (- 1/8 (pow (* 1/6 (* (sqrt (* -2 (log u1))) (cos (* 2 (* (PI) u2))))) 3)))
(/.f64 (-.f64 #s(literal 1/64 binary64) (pow.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))))) #s(literal 6 binary64))) (*.f64 (+.f64 #s(literal 1/4 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))) (+.f64 (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))) (*.f64 #s(literal 1/36 binary64) (*.f64 #s(literal -2 binary64) (log.f64 u1)))) (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal -1/12 binary64))))) (+.f64 #s(literal 1/8 binary64) (*.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)))) #s(literal 3 binary64)) #s(literal -1/216 binary64)))))
(* (- 1/64 (pow (* 1/6 (* (sqrt (* -2 (log u1))) (cos (* 2 (* (PI) u2))))) 6)) (/ 1 (+ 1/4 (* (* (sqrt (* -2 (log u1))) (cos (* 2 (* (PI) u2)))) (- (* (* (sqrt (* -2 (log u1))) (cos (* 2 (* (PI) u2)))) 1/36) 1/12)))))
(/.f64 (-.f64 #s(literal 1/64 binary64) (pow.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))))) #s(literal 6 binary64))) (+.f64 #s(literal 1/4 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))) (+.f64 (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))) (*.f64 #s(literal 1/36 binary64) (*.f64 #s(literal -2 binary64) (log.f64 u1)))) (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal -1/12 binary64))))))
(- 1/64 (pow (* 1/6 (* (sqrt (* -2 (log u1))) (cos (* 2 (* (PI) u2))))) 6))
(-.f64 #s(literal 1/64 binary64) (pow.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))))) #s(literal 6 binary64)))
1/64
#s(literal 1/64 binary64)
(pow (* 1/6 (* (sqrt (* -2 (log u1))) (cos (* 2 (* (PI) u2))))) 6)
(pow.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))))) #s(literal 6 binary64))
(* 1/6 (* (sqrt (* -2 (log u1))) (cos (* 2 (* (PI) u2)))))
(*.f64 #s(literal 1/6 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)))))
1/6
#s(literal 1/6 binary64)
(* (sqrt (* -2 (log u1))) (cos (* 2 (* (PI) u2))))
(*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))))
(sqrt (* -2 (log u1)))
(sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)))
(* -2 (log u1))
(*.f64 #s(literal -2 binary64) (log.f64 u1))
-2
#s(literal -2 binary64)
(log u1)
(log.f64 u1)
u1
(cos (* 2 (* (PI) u2)))
(cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))
(* 2 (* (PI) u2))
(*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))
2
#s(literal 2 binary64)
(* (PI) u2)
(*.f64 (PI.f64) u2)
(PI)
(PI.f64)
u2
6
#s(literal 6 binary64)
(/ 1 (+ 1/4 (* (* (sqrt (* -2 (log u1))) (cos (* 2 (* (PI) u2)))) (- (* (* (sqrt (* -2 (log u1))) (cos (* 2 (* (PI) u2)))) 1/36) 1/12))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/4 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))) (+.f64 (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))) (*.f64 #s(literal 1/36 binary64) (*.f64 #s(literal -2 binary64) (log.f64 u1)))) (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal -1/12 binary64))))))
1
#s(literal 1 binary64)
(+ 1/4 (* (* (sqrt (* -2 (log u1))) (cos (* 2 (* (PI) u2)))) (- (* (* (sqrt (* -2 (log u1))) (cos (* 2 (* (PI) u2)))) 1/36) 1/12)))
(+.f64 #s(literal 1/4 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))) (+.f64 (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))) (*.f64 #s(literal 1/36 binary64) (*.f64 #s(literal -2 binary64) (log.f64 u1)))) (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal -1/12 binary64)))))
1/4
#s(literal 1/4 binary64)
(* (* (sqrt (* -2 (log u1))) (cos (* 2 (* (PI) u2)))) (- (* (* (sqrt (* -2 (log u1))) (cos (* 2 (* (PI) u2)))) 1/36) 1/12))
(*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))) (+.f64 (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))) (*.f64 #s(literal 1/36 binary64) (*.f64 #s(literal -2 binary64) (log.f64 u1)))) (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal -1/12 binary64))))
(- (* (* (sqrt (* -2 (log u1))) (cos (* 2 (* (PI) u2)))) 1/36) 1/12)
(+.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))) #s(literal 1/36 binary64))) #s(literal -1/12 binary64))
(* (* (sqrt (* -2 (log u1))) (cos (* 2 (* (PI) u2)))) 1/36)
(*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))) #s(literal 1/36 binary64)))
1/36
#s(literal 1/36 binary64)
1/12
#s(literal 1/12 binary64)
(- 1/8 (pow (* 1/6 (* (sqrt (* -2 (log u1))) (cos (* 2 (* (PI) u2))))) 3))
(+.f64 #s(literal 1/8 binary64) (*.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)))) #s(literal 3 binary64)) #s(literal -1/216 binary64)))
1/8
#s(literal 1/8 binary64)
(pow (* 1/6 (* (sqrt (* -2 (log u1))) (cos (* 2 (* (PI) u2))))) 3)
(pow.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))))) #s(literal 3 binary64))
3
#s(literal 3 binary64)

localize497.0ms (4.6%)

Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)))
✓accuracy100.0%
(log.f64 u1)
✓accuracy100.0%
(cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))
✓accuracy3.1%
(PI.f64)
✓accuracy100.0%
(sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)))
✓accuracy100.0%
(log.f64 u1)
✓accuracy100.0%
(cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))
✓accuracy3.1%
(PI.f64)
✓accuracy100.0%
(log.f64 u1)
✓accuracy100.0%
(exp.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)))))
✓accuracy100.0%
(cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))
✓accuracy3.1%
(PI.f64)
✓accuracy100.0%
(*.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -2 binary64)))
✓accuracy100.0%
(sqrt.f64 (log.f64 u1))
✓accuracy100.0%
(sqrt.f64 #s(literal -2 binary64))
✓accuracy100.0%
(log.f64 u1)
✓accuracy100.0%
(*.f64 #s(literal -2 binary64) (log.f64 u1))
✓accuracy100.0%
(log.f64 u1)
✓accuracy100.0%
(cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))
✓accuracy3.1%
(PI.f64)
Results
226.0ms256×0invalid
Compiler

Compiled 798 to 59 computations (92.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 127.0ms
ival-mult: 58.0ms (45.7% of total)
ival-pow: 18.0ms (14.2% of total)
...c/correct-round.rkt:119:19: 14.0ms (11% of total)
ival-log: 8.0ms (6.3% of total)
ival-add: 6.0ms (4.7% of total)
ival-div: 5.0ms (3.9% of total)
ival-sub: 5.0ms (3.9% of total)
ival-sqrt: 5.0ms (3.9% of total)
ival-exp: 3.0ms (2.4% of total)
ival-cos: 2.0ms (1.6% of total)
ival-pi: 1.0ms (0.8% of total)
const: 1.0ms (0.8% of total)
backward-pass: 0.0ms (0% of total)

series148.0ms (1.4%)

Counts
26 → 420
Calls
Call 1
Inputs
#<alt (+ 1/2 (* (* 1/6 (pow (* (* -2 (log u1)) (* -2 (log u1))) 1/4)) (cos (* 2 (* (PI) u2)))))>
#<alt (* (* 1/6 (pow (* (* -2 (log u1)) (* -2 (log u1))) 1/4)) (cos (* 2 (* (PI) u2))))>
#<alt (* 1/6 (pow (* (* -2 (log u1)) (* -2 (log u1))) 1/4))>
#<alt (pow (* (* -2 (log u1)) (* -2 (log u1))) 1/4)>
#<alt (+ 1/2 (* (sqrt (log u1)) (* 1/6 (sqrt -2))))>
#<alt (* (sqrt (log u1)) (* 1/6 (sqrt -2)))>
#<alt (sqrt (log u1))>
#<alt (log u1)>
#<alt (+ 1/2 (* (* 1/6 (exp (* 1/2 (log (* -2 (log u1)))))) (cos (* 2 (* (PI) u2)))))>
#<alt (* (* 1/6 (exp (* 1/2 (log (* -2 (log u1)))))) (cos (* 2 (* (PI) u2))))>
#<alt (* 1/6 (exp (* 1/2 (log (* -2 (log u1))))))>
#<alt (exp (* 1/2 (log (* -2 (log u1)))))>
#<alt (* (/ 1 (+ 1/2 (* (cos (* 2 (* (PI) u2))) (* (sqrt (* -2 (log u1))) -1/6)))) (- 1/4 (pow (* 1/6 (* (sqrt (* -2 (log u1))) (cos (* 2 (* (PI) u2))))) 2)))>
#<alt (- 1/4 (pow (* 1/6 (* (sqrt (* -2 (log u1))) (cos (* 2 (* (PI) u2))))) 2))>
#<alt (pow (* 1/6 (* (sqrt (* -2 (log u1))) (cos (* 2 (* (PI) u2))))) 2)>
#<alt (/ 1 (+ 1/2 (* (cos (* 2 (* (PI) u2))) (* (sqrt (* -2 (log u1))) -1/6))))>
#<alt (/ (* (- 1/64 (pow (* 1/6 (* (sqrt (* -2 (log u1))) (cos (* 2 (* (PI) u2))))) 6)) (/ 1 (+ 1/4 (* (* (sqrt (* -2 (log u1))) (cos (* 2 (* (PI) u2)))) (- (* (* (sqrt (* -2 (log u1))) (cos (* 2 (* (PI) u2)))) 1/36) 1/12))))) (- 1/8 (pow (* 1/6 (* (sqrt (* -2 (log u1))) (cos (* 2 (* (PI) u2))))) 3)))>
#<alt (* (- 1/64 (pow (* 1/6 (* (sqrt (* -2 (log u1))) (cos (* 2 (* (PI) u2))))) 6)) (/ 1 (+ 1/4 (* (* (sqrt (* -2 (log u1))) (cos (* 2 (* (PI) u2)))) (- (* (* (sqrt (* -2 (log u1))) (cos (* 2 (* (PI) u2)))) 1/36) 1/12)))))>
#<alt (/ 1 (+ 1/4 (* (* (sqrt (* -2 (log u1))) (cos (* 2 (* (PI) u2)))) (- (* (* (sqrt (* -2 (log u1))) (cos (* 2 (* (PI) u2)))) 1/36) 1/12))))>
#<alt (+ 1/4 (* (* (sqrt (* -2 (log u1))) (cos (* 2 (* (PI) u2)))) (- (* (* (sqrt (* -2 (log u1))) (cos (* 2 (* (PI) u2)))) 1/36) 1/12)))>
#<alt (PI)>
#<alt (cos (* 2 (* (PI) u2)))>
#<alt (* -2 (log u1))>
#<alt (sqrt -2)>
#<alt (* 1/6 (sqrt -2))>
#<alt (sqrt (* -2 (log u1)))>
Outputs
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#<alt (+ 1/2 (* 1/6 (* (pow 4 1/4) (* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (log (/ 1 u1)))))))>
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#<alt (+ 1/2 (* 1/6 (* (pow 4 1/4) (sqrt (log u1)))))>
#<alt (+ 1/2 (+ (* -1/3 (* (pow 4 1/4) (* (* (pow u2 2) (pow (PI) 2)) (sqrt (log u1))))) (* 1/6 (* (pow 4 1/4) (sqrt (log u1))))))>
#<alt (+ 1/2 (+ (* 1/6 (* (pow 4 1/4) (sqrt (log u1)))) (* (pow u2 2) (+ (* -1/3 (* (pow 4 1/4) (* (pow (PI) 2) (sqrt (log u1))))) (* 1/9 (* (pow 4 1/4) (* (* (pow u2 2) (pow (PI) 4)) (sqrt (log u1)))))))))>
#<alt (+ 1/2 (+ (* 1/6 (* (pow 4 1/4) (sqrt (log u1)))) (* (pow u2 2) (+ (* -1/3 (* (pow 4 1/4) (* (pow (PI) 2) (sqrt (log u1))))) (* (pow u2 2) (+ (* -2/135 (* (pow 4 1/4) (* (* (pow u2 2) (pow (PI) 6)) (sqrt (log u1))))) (* 1/9 (* (pow 4 1/4) (* (pow (PI) 4) (sqrt (log u1)))))))))))>
#<alt (+ 1/2 (* 1/6 (* (pow 4 1/4) (* (cos (* 2 (* u2 (PI)))) (sqrt (log u1))))))>
#<alt (+ 1/2 (* 1/6 (* (pow 4 1/4) (* (cos (* 2 (* u2 (PI)))) (sqrt (log u1))))))>
#<alt (+ 1/2 (* 1/6 (* (pow 4 1/4) (* (cos (* 2 (* u2 (PI)))) (sqrt (log u1))))))>
#<alt (+ 1/2 (* 1/6 (* (pow 4 1/4) (* (cos (* 2 (* u2 (PI)))) (sqrt (log u1))))))>
#<alt (+ 1/2 (* 1/6 (* (pow 4 1/4) (* (cos (* 2 (* u2 (PI)))) (sqrt (log u1))))))>
#<alt (+ 1/2 (* 1/6 (* (pow 4 1/4) (* (cos (* 2 (* u2 (PI)))) (sqrt (log u1))))))>
#<alt (+ 1/2 (* 1/6 (* (pow 4 1/4) (* (cos (* 2 (* u2 (PI)))) (sqrt (log u1))))))>
#<alt (+ 1/2 (* 1/6 (* (pow 4 1/4) (* (cos (* 2 (* u2 (PI)))) (sqrt (log u1))))))>
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#<alt (* 1/6 (* (pow 4 1/4) (* (cos (* 2 (* u2 (PI)))) (sqrt (log u1)))))>
#<alt (* 1/6 (* (pow 4 1/4) (* (cos (* 2 (* u2 (PI)))) (sqrt (log u1)))))>
#<alt (* 1/6 (* (pow 4 1/4) (* (cos (* 2 (* u2 (PI)))) (sqrt (log u1)))))>
#<alt (* 1/6 (* (pow 4 1/4) (* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (log (/ 1 u1))))))>
#<alt (* 1/6 (* (pow 4 1/4) (* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (log (/ 1 u1))))))>
#<alt (* 1/6 (* (pow 4 1/4) (* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (log (/ 1 u1))))))>
#<alt (* 1/6 (* (pow 4 1/4) (* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (log (/ 1 u1))))))>
#<alt (* 1/6 (* (pow 4 1/4) (* (cos (* 2 (* u2 (PI)))) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))))>
#<alt (* 1/6 (* (pow 4 1/4) (* (cos (* 2 (* u2 (PI)))) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))))>
#<alt (* 1/6 (* (pow 4 1/4) (* (cos (* 2 (* u2 (PI)))) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))))>
#<alt (* 1/6 (* (pow 4 1/4) (* (cos (* 2 (* u2 (PI)))) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))))>
#<alt (* 1/6 (* (pow 4 1/4) (sqrt (log u1))))>
#<alt (+ (* -1/3 (* (pow 4 1/4) (* (* (pow u2 2) (pow (PI) 2)) (sqrt (log u1))))) (* 1/6 (* (pow 4 1/4) (sqrt (log u1)))))>
#<alt (+ (* 1/6 (* (pow 4 1/4) (sqrt (log u1)))) (* (pow u2 2) (+ (* -1/3 (* (pow 4 1/4) (* (pow (PI) 2) (sqrt (log u1))))) (* 1/9 (* (pow 4 1/4) (* (* (pow u2 2) (pow (PI) 4)) (sqrt (log u1))))))))>
#<alt (+ (* 1/6 (* (pow 4 1/4) (sqrt (log u1)))) (* (pow u2 2) (+ (* -1/3 (* (pow 4 1/4) (* (pow (PI) 2) (sqrt (log u1))))) (* (pow u2 2) (+ (* -2/135 (* (pow 4 1/4) (* (* (pow u2 2) (pow (PI) 6)) (sqrt (log u1))))) (* 1/9 (* (pow 4 1/4) (* (pow (PI) 4) (sqrt (log u1))))))))))>
#<alt (* 1/6 (* (pow 4 1/4) (* (cos (* 2 (* u2 (PI)))) (sqrt (log u1)))))>
#<alt (* 1/6 (* (pow 4 1/4) (* (cos (* 2 (* u2 (PI)))) (sqrt (log u1)))))>
#<alt (* 1/6 (* (pow 4 1/4) (* (cos (* 2 (* u2 (PI)))) (sqrt (log u1)))))>
#<alt (* 1/6 (* (pow 4 1/4) (* (cos (* 2 (* u2 (PI)))) (sqrt (log u1)))))>
#<alt (* 1/6 (* (pow 4 1/4) (* (cos (* 2 (* u2 (PI)))) (sqrt (log u1)))))>
#<alt (* 1/6 (* (pow 4 1/4) (* (cos (* 2 (* u2 (PI)))) (sqrt (log u1)))))>
#<alt (* 1/6 (* (pow 4 1/4) (* (cos (* 2 (* u2 (PI)))) (sqrt (log u1)))))>
#<alt (* 1/6 (* (pow 4 1/4) (* (cos (* 2 (* u2 (PI)))) (sqrt (log u1)))))>
#<alt (* 1/6 (* (pow 4 1/4) (sqrt (log u1))))>
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#<alt (* 1/6 (* (pow 4 1/4) (sqrt (log u1))))>
#<alt (* 1/6 (* (pow 4 1/4) (* (sqrt (log (/ 1 u1))) (sqrt -1))))>
#<alt (* 1/6 (* (pow 4 1/4) (* (sqrt (log (/ 1 u1))) (sqrt -1))))>
#<alt (* 1/6 (* (pow 4 1/4) (* (sqrt (log (/ 1 u1))) (sqrt -1))))>
#<alt (* 1/6 (* (pow 4 1/4) (* (sqrt (log (/ 1 u1))) (sqrt -1))))>
#<alt (* 1/6 (* (pow 4 1/4) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))))>
#<alt (* 1/6 (* (pow 4 1/4) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))))>
#<alt (* 1/6 (* (pow 4 1/4) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))))>
#<alt (* 1/6 (* (pow 4 1/4) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))))>
#<alt (* (pow 4 1/4) (sqrt (log u1)))>
#<alt (* (pow 4 1/4) (sqrt (log u1)))>
#<alt (* (pow 4 1/4) (sqrt (log u1)))>
#<alt (* (pow 4 1/4) (sqrt (log u1)))>
#<alt (* (pow 4 1/4) (* (sqrt (log (/ 1 u1))) (sqrt -1)))>
#<alt (* (pow 4 1/4) (* (sqrt (log (/ 1 u1))) (sqrt -1)))>
#<alt (* (pow 4 1/4) (* (sqrt (log (/ 1 u1))) (sqrt -1)))>
#<alt (* (pow 4 1/4) (* (sqrt (log (/ 1 u1))) (sqrt -1)))>
#<alt (* (pow 4 1/4) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))>
#<alt (* (pow 4 1/4) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))>
#<alt (* (pow 4 1/4) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))>
#<alt (* (pow 4 1/4) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))>
#<alt (+ 1/2 (* 1/6 (* (sqrt (log u1)) (sqrt -2))))>
#<alt (+ 1/2 (* 1/6 (* (sqrt (log u1)) (sqrt -2))))>
#<alt (+ 1/2 (* 1/6 (* (sqrt (log u1)) (sqrt -2))))>
#<alt (+ 1/2 (* 1/6 (* (sqrt (log u1)) (sqrt -2))))>
#<alt (+ 1/2 (* 1/6 (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1)))))>
#<alt (+ 1/2 (* 1/6 (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1)))))>
#<alt (+ 1/2 (* 1/6 (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1)))))>
#<alt (+ 1/2 (* 1/6 (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1)))))>
#<alt (+ 1/2 (* 1/6 (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))))>
#<alt (+ 1/2 (* 1/6 (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))))>
#<alt (+ 1/2 (* 1/6 (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))))>
#<alt (+ 1/2 (* 1/6 (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))))>
#<alt (* 1/6 (* (sqrt (log u1)) (sqrt -2)))>
#<alt (* 1/6 (* (sqrt (log u1)) (sqrt -2)))>
#<alt (* 1/6 (* (sqrt (log u1)) (sqrt -2)))>
#<alt (* 1/6 (* (sqrt (log u1)) (sqrt -2)))>
#<alt (* 1/6 (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1))))>
#<alt (* 1/6 (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1))))>
#<alt (* 1/6 (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1))))>
#<alt (* 1/6 (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1))))>
#<alt (* 1/6 (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))))>
#<alt (* 1/6 (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))))>
#<alt (* 1/6 (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))))>
#<alt (* 1/6 (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))))>
#<alt (sqrt (log u1))>
#<alt (sqrt (log u1))>
#<alt (sqrt (log u1))>
#<alt (sqrt (log u1))>
#<alt (* (sqrt (log (/ 1 u1))) (sqrt -1))>
#<alt (* (sqrt (log (/ 1 u1))) (sqrt -1))>
#<alt (* (sqrt (log (/ 1 u1))) (sqrt -1))>
#<alt (* (sqrt (log (/ 1 u1))) (sqrt -1))>
#<alt (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))>
#<alt (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))>
#<alt (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))>
#<alt (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))>
#<alt (log u1)>
#<alt (log u1)>
#<alt (log u1)>
#<alt (log u1)>
#<alt (* -1 (log (/ 1 u1)))>
#<alt (* -1 (log (/ 1 u1)))>
#<alt (* -1 (log (/ 1 u1)))>
#<alt (* -1 (log (/ 1 u1)))>
#<alt (+ (log -1) (* -1 (log (/ -1 u1))))>
#<alt (+ (log -1) (* -1 (log (/ -1 u1))))>
#<alt (+ (log -1) (* -1 (log (/ -1 u1))))>
#<alt (+ (log -1) (* -1 (log (/ -1 u1))))>
#<alt (+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))))>
#<alt (+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))))>
#<alt (+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))))>
#<alt (+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))))>
#<alt (+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -2) (sqrt -1))) (sqrt (log (/ 1 u1))))))>
#<alt (+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -2) (sqrt -1))) (sqrt (log (/ 1 u1))))))>
#<alt (+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -2) (sqrt -1))) (sqrt (log (/ 1 u1))))))>
#<alt (+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -2) (sqrt -1))) (sqrt (log (/ 1 u1))))))>
#<alt (+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))))>
#<alt (+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))))>
#<alt (+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))))>
#<alt (+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))))>
#<alt (+ 1/2 (* 1/6 (* (sqrt (log u1)) (sqrt -2))))>
#<alt (+ 1/2 (+ (* -1/3 (* (* (pow u2 2) (* (pow (PI) 2) (sqrt -2))) (sqrt (log u1)))) (* 1/6 (* (sqrt (log u1)) (sqrt -2)))))>
#<alt (+ 1/2 (+ (* 1/6 (* (sqrt (log u1)) (sqrt -2))) (* (pow u2 2) (+ (* -1/3 (* (* (pow (PI) 2) (sqrt -2)) (sqrt (log u1)))) (* 1/9 (* (* (pow u2 2) (* (pow (PI) 4) (sqrt -2))) (sqrt (log u1))))))))>
#<alt (+ 1/2 (+ (* 1/6 (* (sqrt (log u1)) (sqrt -2))) (* (pow u2 2) (+ (* -1/3 (* (* (pow (PI) 2) (sqrt -2)) (sqrt (log u1)))) (* (pow u2 2) (+ (* -2/135 (* (* (pow u2 2) (* (pow (PI) 6) (sqrt -2))) (sqrt (log u1)))) (* 1/9 (* (* (pow (PI) 4) (sqrt -2)) (sqrt (log u1))))))))))>
#<alt (+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))))>
#<alt (+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))))>
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#<alt (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -2) (sqrt -1))) (sqrt (log (/ 1 u1)))))>
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#<alt (* 1/6 (* (sqrt (log u1)) (sqrt -2)))>
#<alt (+ (* -1/3 (* (* (pow u2 2) (* (pow (PI) 2) (sqrt -2))) (sqrt (log u1)))) (* 1/6 (* (sqrt (log u1)) (sqrt -2))))>
#<alt (+ (* 1/6 (* (sqrt (log u1)) (sqrt -2))) (* (pow u2 2) (+ (* -1/3 (* (* (pow (PI) 2) (sqrt -2)) (sqrt (log u1)))) (* 1/9 (* (* (pow u2 2) (* (pow (PI) 4) (sqrt -2))) (sqrt (log u1)))))))>
#<alt (+ (* 1/6 (* (sqrt (log u1)) (sqrt -2))) (* (pow u2 2) (+ (* -1/3 (* (* (pow (PI) 2) (sqrt -2)) (sqrt (log u1)))) (* (pow u2 2) (+ (* -2/135 (* (* (pow u2 2) (* (pow (PI) 6) (sqrt -2))) (sqrt (log u1)))) (* 1/9 (* (* (pow (PI) 4) (sqrt -2)) (sqrt (log u1)))))))))>
#<alt (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1))))>
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#<alt (* 1/6 (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))))>
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#<alt (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))>
#<alt (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))>
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#<alt (+ (* (pow u2 2) (- (* (pow u2 2) (- (* -1 (* (pow u2 2) (+ (* -1 (* (sqrt (log u1)) (/ (* (+ (* -2 (* (pow (PI) 2) (* (sqrt -2) (- (* 1/36 (* (sqrt (log u1)) (sqrt -2))) 1/12)))) (* -1/18 (* (* (pow (PI) 2) (pow (sqrt -2) 2)) (sqrt (log u1))))) (+ (* -1 (/ (* (log u1) (pow (+ (* -2 (* (pow (PI) 2) (* (sqrt -2) (- (* 1/36 (* (sqrt (log u1)) (sqrt -2))) 1/12)))) (* -1/18 (* (* (pow (PI) 2) (pow (sqrt -2) 2)) (sqrt (log u1))))) 2)) (pow (+ 1/4 (* (sqrt (log u1)) (* (sqrt -2) (- (* 1/36 (* (sqrt (log u1)) (sqrt -2))) 1/12)))) 3))) (* (sqrt (log u1)) (/ (+ (* 1/54 (* (* (pow (PI) 4) (pow (sqrt -2) 2)) (sqrt (log u1)))) (+ (* 1/9 (* (* (pow (PI) 4) (pow (sqrt -2) 2)) (sqrt (log u1)))) (* 2/3 (* (pow (PI) 4) (* (sqrt -2) (- (* 1/36 (* (sqrt (log u1)) (sqrt -2))) 1/12)))))) (pow (+ 1/4 (* (sqrt (log u1)) (* (sqrt -2) (- (* 1/36 (* (sqrt (log u1)) (sqrt -2))) 1/12)))) 2))))) (+ 1/4 (* (sqrt (log u1)) (* (sqrt -2) (- (* 1/36 (* (sqrt (log u1)) (sqrt -2))) 1/12))))))) (+ (* -1 (/ (* (log u1) (* (+ (* -2 (* (pow (PI) 2) (* (sqrt -2) (- (* 1/36 (* (sqrt (log u1)) (sqrt -2))) 1/12)))) (* -1/18 (* (* (pow (PI) 2) (pow (sqrt -2) 2)) (sqrt (log u1))))) (+ (* 1/54 (* (* (pow (PI) 4) (pow (sqrt -2) 2)) (sqrt (log u1)))) (+ (* 1/9 (* (* (pow (PI) 4) (pow (sqrt -2) 2)) (sqrt (log u1)))) (* 2/3 (* (pow (PI) 4) (* (sqrt -2) (- (* 1/36 (* (sqrt (log u1)) (sqrt -2))) 1/12)))))))) (pow (+ 1/4 (* (sqrt (log u1)) (* (sqrt -2) (- (* 1/36 (* (sqrt (log u1)) (sqrt -2))) 1/12)))) 3))) (* (sqrt (log u1)) (/ (+ (* -4/45 (* (pow (PI) 6) (* (sqrt -2) (- (* 1/36 (* (sqrt (log u1)) (sqrt -2))) 1/12)))) (+ (* -2/27 (* (* (pow (PI) 6) (pow (sqrt -2) 2)) (sqrt (log u1)))) (* -1/405 (* (* (pow (PI) 6) (pow (sqrt -2) 2)) (sqrt (log u1)))))) (pow (+ 1/4 (* (sqrt (log u1)) (* (sqrt -2) (- (* 1/36 (* (sqrt (log u1)) (sqrt -2))) 1/12)))) 2))))))) (+ (* -1 (/ (* (log u1) (pow (+ (* -2 (* (pow (PI) 2) (* (sqrt -2) (- (* 1/36 (* (sqrt (log u1)) (sqrt -2))) 1/12)))) (* -1/18 (* (* (pow (PI) 2) (pow (sqrt -2) 2)) (sqrt (log u1))))) 2)) (pow (+ 1/4 (* (sqrt (log u1)) (* (sqrt -2) (- (* 1/36 (* (sqrt (log u1)) (sqrt -2))) 1/12)))) 3))) (* (sqrt (log u1)) (/ (+ (* 1/54 (* (* (pow (PI) 4) (pow (sqrt -2) 2)) (sqrt (log u1)))) (+ (* 1/9 (* (* (pow (PI) 4) (pow (sqrt -2) 2)) (sqrt (log u1)))) (* 2/3 (* (pow (PI) 4) (* (sqrt -2) (- (* 1/36 (* (sqrt (log u1)) (sqrt -2))) 1/12)))))) (pow (+ 1/4 (* (sqrt (log u1)) (* (sqrt -2) (- (* 1/36 (* (sqrt (log u1)) (sqrt -2))) 1/12)))) 2)))))) (* (sqrt (log u1)) (/ (+ (* -2 (* (pow (PI) 2) (* (sqrt -2) (- (* 1/36 (* (sqrt (log u1)) (sqrt -2))) 1/12)))) (* -1/18 (* (* (pow (PI) 2) (pow (sqrt -2) 2)) (sqrt (log u1))))) (pow (+ 1/4 (* (sqrt (log u1)) (* (sqrt -2) (- (* 1/36 (* (sqrt (log u1)) (sqrt -2))) 1/12)))) 2))))) (/ 1 (+ 1/4 (* (sqrt (log u1)) (* (sqrt -2) (- (* 1/36 (* (sqrt (log u1)) (sqrt -2))) 1/12))))))>
#<alt (/ 1 (+ 1/4 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -2) (- (* 1/36 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))) 1/12))) (sqrt (log u1)))))>
#<alt (/ 1 (+ 1/4 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -2) (- (* 1/36 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))) 1/12))) (sqrt (log u1)))))>
#<alt (/ 1 (+ 1/4 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -2) (- (* 1/36 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))) 1/12))) (sqrt (log u1)))))>
#<alt (/ 1 (+ 1/4 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -2) (- (* 1/36 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))) 1/12))) (sqrt (log u1)))))>
#<alt (/ 1 (+ 1/4 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -2) (- (* 1/36 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))) 1/12))) (sqrt (log u1)))))>
#<alt (/ 1 (+ 1/4 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -2) (- (* 1/36 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))) 1/12))) (sqrt (log u1)))))>
#<alt (/ 1 (+ 1/4 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -2) (- (* 1/36 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))) 1/12))) (sqrt (log u1)))))>
#<alt (/ 1 (+ 1/4 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -2) (- (* 1/36 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))) 1/12))) (sqrt (log u1)))))>
#<alt (+ 1/4 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -2) (- (* 1/36 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))) 1/12))) (sqrt (log u1))))>
#<alt (+ 1/4 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -2) (- (* 1/36 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))) 1/12))) (sqrt (log u1))))>
#<alt (+ 1/4 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -2) (- (* 1/36 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))) 1/12))) (sqrt (log u1))))>
#<alt (+ 1/4 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -2) (- (* 1/36 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))) 1/12))) (sqrt (log u1))))>
#<alt (+ 1/4 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -2) (* (sqrt -1) (- (* 1/36 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -2) (sqrt -1))) (sqrt (log (/ 1 u1))))) 1/12)))) (sqrt (log (/ 1 u1)))))>
#<alt (+ 1/4 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -2) (* (sqrt -1) (- (* 1/36 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -2) (sqrt -1))) (sqrt (log (/ 1 u1))))) 1/12)))) (sqrt (log (/ 1 u1)))))>
#<alt (+ 1/4 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -2) (* (sqrt -1) (- (* 1/36 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -2) (sqrt -1))) (sqrt (log (/ 1 u1))))) 1/12)))) (sqrt (log (/ 1 u1)))))>
#<alt (+ 1/4 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -2) (* (sqrt -1) (- (* 1/36 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -2) (sqrt -1))) (sqrt (log (/ 1 u1))))) 1/12)))) (sqrt (log (/ 1 u1)))))>
#<alt (+ 1/4 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -2) (- (* 1/36 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))) 1/12))) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))))>
#<alt (+ 1/4 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -2) (- (* 1/36 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))) 1/12))) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))))>
#<alt (+ 1/4 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -2) (- (* 1/36 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))) 1/12))) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))))>
#<alt (+ 1/4 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -2) (- (* 1/36 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))) 1/12))) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))))>
#<alt (+ 1/4 (* (sqrt (log u1)) (* (sqrt -2) (- (* 1/36 (* (sqrt (log u1)) (sqrt -2))) 1/12))))>
#<alt (+ 1/4 (+ (* (sqrt (log u1)) (* (sqrt -2) (- (* 1/36 (* (sqrt (log u1)) (sqrt -2))) 1/12))) (* (* (pow u2 2) (+ (* -2 (* (pow (PI) 2) (* (sqrt -2) (- (* 1/36 (* (sqrt (log u1)) (sqrt -2))) 1/12)))) (* -1/18 (* (* (pow (PI) 2) (pow (sqrt -2) 2)) (sqrt (log u1)))))) (sqrt (log u1)))))>
#<alt (+ 1/4 (+ (* (sqrt (log u1)) (* (sqrt -2) (- (* 1/36 (* (sqrt (log u1)) (sqrt -2))) 1/12))) (* (pow u2 2) (+ (* (sqrt (log u1)) (+ (* -2 (* (pow (PI) 2) (* (sqrt -2) (- (* 1/36 (* (sqrt (log u1)) (sqrt -2))) 1/12)))) (* -1/18 (* (* (pow (PI) 2) (pow (sqrt -2) 2)) (sqrt (log u1)))))) (* (* (pow u2 2) (+ (* 1/54 (* (* (pow (PI) 4) (pow (sqrt -2) 2)) (sqrt (log u1)))) (+ (* 1/9 (* (* (pow (PI) 4) (pow (sqrt -2) 2)) (sqrt (log u1)))) (* 2/3 (* (pow (PI) 4) (* (sqrt -2) (- (* 1/36 (* (sqrt (log u1)) (sqrt -2))) 1/12))))))) (sqrt (log u1)))))))>
#<alt (+ 1/4 (+ (* (sqrt (log u1)) (* (sqrt -2) (- (* 1/36 (* (sqrt (log u1)) (sqrt -2))) 1/12))) (* (pow u2 2) (+ (* (sqrt (log u1)) (+ (* -2 (* (pow (PI) 2) (* (sqrt -2) (- (* 1/36 (* (sqrt (log u1)) (sqrt -2))) 1/12)))) (* -1/18 (* (* (pow (PI) 2) (pow (sqrt -2) 2)) (sqrt (log u1)))))) (* (pow u2 2) (+ (* (sqrt (log u1)) (+ (* 1/54 (* (* (pow (PI) 4) (pow (sqrt -2) 2)) (sqrt (log u1)))) (+ (* 1/9 (* (* (pow (PI) 4) (pow (sqrt -2) 2)) (sqrt (log u1)))) (* 2/3 (* (pow (PI) 4) (* (sqrt -2) (- (* 1/36 (* (sqrt (log u1)) (sqrt -2))) 1/12))))))) (* (* (pow u2 2) (+ (* -4/45 (* (pow (PI) 6) (* (sqrt -2) (- (* 1/36 (* (sqrt (log u1)) (sqrt -2))) 1/12)))) (+ (* -2/27 (* (* (pow (PI) 6) (pow (sqrt -2) 2)) (sqrt (log u1)))) (* -1/405 (* (* (pow (PI) 6) (pow (sqrt -2) 2)) (sqrt (log u1))))))) (sqrt (log u1)))))))))>
#<alt (+ 1/4 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -2) (- (* 1/36 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))) 1/12))) (sqrt (log u1))))>
#<alt (+ 1/4 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -2) (- (* 1/36 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))) 1/12))) (sqrt (log u1))))>
#<alt (+ 1/4 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -2) (- (* 1/36 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))) 1/12))) (sqrt (log u1))))>
#<alt (+ 1/4 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -2) (- (* 1/36 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))) 1/12))) (sqrt (log u1))))>
#<alt (+ 1/4 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -2) (- (* 1/36 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))) 1/12))) (sqrt (log u1))))>
#<alt (+ 1/4 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -2) (- (* 1/36 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))) 1/12))) (sqrt (log u1))))>
#<alt (+ 1/4 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -2) (- (* 1/36 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))) 1/12))) (sqrt (log u1))))>
#<alt (+ 1/4 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -2) (- (* 1/36 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))) 1/12))) (sqrt (log u1))))>
#<alt 1>
#<alt (+ 1 (* -2 (* (pow u2 2) (pow (PI) 2))))>
#<alt (+ 1 (* (pow u2 2) (+ (* -2 (pow (PI) 2)) (* 2/3 (* (pow u2 2) (pow (PI) 4))))))>
#<alt (+ 1 (* (pow u2 2) (+ (* -2 (pow (PI) 2)) (* (pow u2 2) (+ (* -4/45 (* (pow u2 2) (pow (PI) 6))) (* 2/3 (pow (PI) 4)))))))>
#<alt (cos (* 2 (* u2 (PI))))>
#<alt (cos (* 2 (* u2 (PI))))>
#<alt (cos (* 2 (* u2 (PI))))>
#<alt (cos (* 2 (* u2 (PI))))>
#<alt (cos (* 2 (* u2 (PI))))>
#<alt (cos (* 2 (* u2 (PI))))>
#<alt (cos (* 2 (* u2 (PI))))>
#<alt (cos (* 2 (* u2 (PI))))>
#<alt (* -2 (log u1))>
#<alt (* -2 (log u1))>
#<alt (* -2 (log u1))>
#<alt (* -2 (log u1))>
#<alt (* 2 (log (/ 1 u1)))>
#<alt (* 2 (log (/ 1 u1)))>
#<alt (* 2 (log (/ 1 u1)))>
#<alt (* 2 (log (/ 1 u1)))>
#<alt (* -2 (+ (log -1) (* -1 (log (/ -1 u1)))))>
#<alt (* -2 (+ (log -1) (* -1 (log (/ -1 u1)))))>
#<alt (* -2 (+ (log -1) (* -1 (log (/ -1 u1)))))>
#<alt (* -2 (+ (log -1) (* -1 (log (/ -1 u1)))))>
#<alt (* (sqrt (log u1)) (sqrt -2))>
#<alt (* (sqrt (log u1)) (sqrt -2))>
#<alt (* (sqrt (log u1)) (sqrt -2))>
#<alt (* (sqrt (log u1)) (sqrt -2))>
#<alt (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1)))>
#<alt (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1)))>
#<alt (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1)))>
#<alt (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1)))>
#<alt (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))>
#<alt (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))>
#<alt (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))>
#<alt (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))>
Calls

105 calls:

TimeVariablePointExpression
33.0ms
u1
@0
(+ 1/2 (* (* 1/6 (pow (* (* -2 (log u1)) (* -2 (log u1))) 1/4)) (cos (* 2 (* (PI) u2)))))
11.0ms
u2
@0
(/ (* (- 1/64 (pow (* 1/6 (* (sqrt (* -2 (log u1))) (cos (* 2 (* (PI) u2))))) 6)) (/ 1 (+ 1/4 (* (* (sqrt (* -2 (log u1))) (cos (* 2 (* (PI) u2)))) (- (* (* (sqrt (* -2 (log u1))) (cos (* 2 (* (PI) u2)))) 1/36) 1/12))))) (- 1/8 (pow (* 1/6 (* (sqrt (* -2 (log u1))) (cos (* 2 (* (PI) u2))))) 3)))
9.0ms
u1
@-inf
(/ (* (- 1/64 (pow (* 1/6 (* (sqrt (* -2 (log u1))) (cos (* 2 (* (PI) u2))))) 6)) (/ 1 (+ 1/4 (* (* (sqrt (* -2 (log u1))) (cos (* 2 (* (PI) u2)))) (- (* (* (sqrt (* -2 (log u1))) (cos (* 2 (* (PI) u2)))) 1/36) 1/12))))) (- 1/8 (pow (* 1/6 (* (sqrt (* -2 (log u1))) (cos (* 2 (* (PI) u2))))) 3)))
7.0ms
u2
@-inf
(* (/ 1 (+ 1/2 (* (cos (* 2 (* (PI) u2))) (* (sqrt (* -2 (log u1))) -1/6)))) (- 1/4 (pow (* 1/6 (* (sqrt (* -2 (log u1))) (cos (* 2 (* (PI) u2))))) 2)))
7.0ms
u1
@0
(/ (* (- 1/64 (pow (* 1/6 (* (sqrt (* -2 (log u1))) (cos (* 2 (* (PI) u2))))) 6)) (/ 1 (+ 1/4 (* (* (sqrt (* -2 (log u1))) (cos (* 2 (* (PI) u2)))) (- (* (* (sqrt (* -2 (log u1))) (cos (* 2 (* (PI) u2)))) 1/36) 1/12))))) (- 1/8 (pow (* 1/6 (* (sqrt (* -2 (log u1))) (cos (* 2 (* (PI) u2))))) 3)))

rewrite223.0ms (2%)

Algorithm
1×batch-egg-rewrite
Rules
1480×*-lowering-*.f32
1480×*-lowering-*.f64
654×/-lowering-/.f32
654×/-lowering-/.f64
460×+-lowering-+.f64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
058406
1326346
02490346
Stop Event
1×iter limit
1×iter limit
1×node limit
Counts
26 → 445
Calls
Call 1
Inputs
(+ 1/2 (* (* 1/6 (pow (* (* -2 (log u1)) (* -2 (log u1))) 1/4)) (cos (* 2 (* (PI) u2)))))
(* (* 1/6 (pow (* (* -2 (log u1)) (* -2 (log u1))) 1/4)) (cos (* 2 (* (PI) u2))))
(* 1/6 (pow (* (* -2 (log u1)) (* -2 (log u1))) 1/4))
(pow (* (* -2 (log u1)) (* -2 (log u1))) 1/4)
(+ 1/2 (* (sqrt (log u1)) (* 1/6 (sqrt -2))))
(* (sqrt (log u1)) (* 1/6 (sqrt -2)))
(sqrt (log u1))
(log u1)
(+ 1/2 (* (* 1/6 (exp (* 1/2 (log (* -2 (log u1)))))) (cos (* 2 (* (PI) u2)))))
(* (* 1/6 (exp (* 1/2 (log (* -2 (log u1)))))) (cos (* 2 (* (PI) u2))))
(* 1/6 (exp (* 1/2 (log (* -2 (log u1))))))
(exp (* 1/2 (log (* -2 (log u1)))))
(* (/ 1 (+ 1/2 (* (cos (* 2 (* (PI) u2))) (* (sqrt (* -2 (log u1))) -1/6)))) (- 1/4 (pow (* 1/6 (* (sqrt (* -2 (log u1))) (cos (* 2 (* (PI) u2))))) 2)))
(- 1/4 (pow (* 1/6 (* (sqrt (* -2 (log u1))) (cos (* 2 (* (PI) u2))))) 2))
(pow (* 1/6 (* (sqrt (* -2 (log u1))) (cos (* 2 (* (PI) u2))))) 2)
(/ 1 (+ 1/2 (* (cos (* 2 (* (PI) u2))) (* (sqrt (* -2 (log u1))) -1/6))))
(/ (* (- 1/64 (pow (* 1/6 (* (sqrt (* -2 (log u1))) (cos (* 2 (* (PI) u2))))) 6)) (/ 1 (+ 1/4 (* (* (sqrt (* -2 (log u1))) (cos (* 2 (* (PI) u2)))) (- (* (* (sqrt (* -2 (log u1))) (cos (* 2 (* (PI) u2)))) 1/36) 1/12))))) (- 1/8 (pow (* 1/6 (* (sqrt (* -2 (log u1))) (cos (* 2 (* (PI) u2))))) 3)))
(* (- 1/64 (pow (* 1/6 (* (sqrt (* -2 (log u1))) (cos (* 2 (* (PI) u2))))) 6)) (/ 1 (+ 1/4 (* (* (sqrt (* -2 (log u1))) (cos (* 2 (* (PI) u2)))) (- (* (* (sqrt (* -2 (log u1))) (cos (* 2 (* (PI) u2)))) 1/36) 1/12)))))
(/ 1 (+ 1/4 (* (* (sqrt (* -2 (log u1))) (cos (* 2 (* (PI) u2)))) (- (* (* (sqrt (* -2 (log u1))) (cos (* 2 (* (PI) u2)))) 1/36) 1/12))))
(+ 1/4 (* (* (sqrt (* -2 (log u1))) (cos (* 2 (* (PI) u2)))) (- (* (* (sqrt (* -2 (log u1))) (cos (* 2 (* (PI) u2)))) 1/36) 1/12)))
(PI)
(cos (* 2 (* (PI) u2)))
(* -2 (log u1))
(sqrt -2)
(* 1/6 (sqrt -2))
(sqrt (* -2 (log u1)))
Outputs
(+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))))))
(+.f64 #s(literal 1/2 binary64) (neg.f64 (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))) (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal -1/6 binary64)))))
(+.f64 #s(literal 1/2 binary64) (*.f64 (neg.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))) (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal -1/6 binary64))))
(+.f64 #s(literal 1/2 binary64) (*.f64 (neg.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal -1/6 binary64))) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))))
(+.f64 #s(literal 1/2 binary64) (*.f64 (neg.f64 (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))))) #s(literal -1/6 binary64)))
(+.f64 (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))))) #s(literal 1/2 binary64))
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))) (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal -1/6 binary64))))) #s(literal 1/4 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))) (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal -1/6 binary64))))) (*.f64 #s(literal -1/36 binary64) (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)))) #s(literal 2 binary64)))))
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(pow.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64))
(*.f64 (PI.f64) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (PI.f64))
(*.f64 (cbrt.f64 (PI.f64)) (cbrt.f64 (*.f64 (PI.f64) (PI.f64))))
(*.f64 (cbrt.f64 (*.f64 (PI.f64) (PI.f64))) (cbrt.f64 (PI.f64)))
(*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) (PI.f64))) #s(literal 1 binary64)) (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (PI.f64)) #s(literal 1 binary64)) (pow.f64 (sqrt.f64 (PI.f64)) #s(literal 1 binary64)))
(*.f64 (*.f64 #s(literal 1 binary64) (cbrt.f64 (*.f64 (PI.f64) (PI.f64)))) (cbrt.f64 (PI.f64)))
(+.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))) (fma.f64 (neg.f64 (sin.f64 (*.f64 (PI.f64) u2))) (sin.f64 (*.f64 (PI.f64) u2)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))))))
(+.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))))) (neg.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))))))
(+.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))))) (*.f64 (neg.f64 (sin.f64 (*.f64 (PI.f64) u2))) (sin.f64 (*.f64 (PI.f64) u2))))
(cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))
(-.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))))))
(fma.f64 (cos.f64 (*.f64 (PI.f64) u2)) (cos.f64 (*.f64 (PI.f64) u2)) (neg.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))))))
(/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))))) #s(literal 3 binary64)) (pow.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))))) #s(literal 3 binary64))) (+.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))))) (+.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))))))))
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))))) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))))))) (+.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))))))
(*.f64 (+.f64 (cos.f64 (*.f64 (PI.f64) u2)) (sin.f64 (*.f64 (PI.f64) u2))) (-.f64 (cos.f64 (*.f64 (PI.f64) u2)) (sin.f64 (*.f64 (PI.f64) u2))))
(*.f64 #s(literal -2 binary64) (log.f64 u1))
(*.f64 (log.f64 u1) #s(literal -2 binary64))
(exp.f64 (*.f64 (log.f64 #s(literal -2 binary64)) #s(literal 1/2 binary64)))
(sqrt.f64 #s(literal -2 binary64))
(pow.f64 #s(literal -2 binary64) #s(literal 1/2 binary64))
(*.f64 (pow.f64 #s(literal -2 binary64) #s(literal 1/4 binary64)) (pow.f64 #s(literal -2 binary64) #s(literal 1/4 binary64)))
(*.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -2 binary64)))
(*.f64 (sqrt.f64 #s(literal -2 binary64)) #s(literal 1/6 binary64))
(exp.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)))))
(exp.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 2 binary64) (log.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))))))
(exp.f64 (*.f64 (log.f64 (exp.f64 #s(literal 1/2 binary64))) (log.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)))))
(sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)))
(pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 2 binary64)) #s(literal 1/4 binary64))
(pow.f64 (exp.f64 #s(literal 1/2 binary64)) (log.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))))
(pow.f64 (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 2 binary64)) (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 2 binary64))) #s(literal 1/8 binary64))
(pow.f64 (exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))))) #s(literal 1/4 binary64))
(pow.f64 (exp.f64 (log.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)))) #s(literal 1/2 binary64))
(*.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 #s(literal -2 binary64)))
(*.f64 (sqrt.f64 #s(literal -2 binary64)) (sqrt.f64 (log.f64 u1)))
(*.f64 (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/4 binary64)) (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (log.f64 #s(literal -2 binary64))) (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (log.f64 (log.f64 u1))))
(*.f64 (pow.f64 #s(literal -2 binary64) #s(literal 1/4 binary64)) (pow.f64 (*.f64 (pow.f64 (log.f64 u1) #s(literal 2 binary64)) #s(literal -2 binary64)) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/4 binary64)) (pow.f64 (pow.f64 (log.f64 u1) #s(literal 2 binary64)) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (*.f64 (log.f64 u1) #s(literal 4 binary64)) #s(literal 1/4 binary64)) (pow.f64 (log.f64 u1) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (/.f64 (log.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal 2 binary64))) (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (/.f64 (log.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal 2 binary64))))

simplify427.0ms (3.9%)

Algorithm
1×egg-herbie
Rules
6090×*-lowering-*.f32
6090×*-lowering-*.f64
3964×+-lowering-+.f64
3964×+-lowering-+.f32
1708×fma-lowering-fma.f32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
069717764
1239116433
2770016237
0810716237
Stop Event
1×iter limit
1×node limit
Counts
420 → 420
Calls
Call 1
Inputs
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1
(+ 1 (* -2 (* (pow u2 2) (pow (PI) 2))))
(+ 1 (* (pow u2 2) (+ (* -2 (pow (PI) 2)) (* 2/3 (* (pow u2 2) (pow (PI) 4))))))
(+ 1 (* (pow u2 2) (+ (* -2 (pow (PI) 2)) (* (pow u2 2) (+ (* -4/45 (* (pow u2 2) (pow (PI) 6))) (* 2/3 (pow (PI) 4)))))))
(cos (* 2 (* u2 (PI))))
(cos (* 2 (* u2 (PI))))
(cos (* 2 (* u2 (PI))))
(cos (* 2 (* u2 (PI))))
(cos (* 2 (* u2 (PI))))
(cos (* 2 (* u2 (PI))))
(cos (* 2 (* u2 (PI))))
(cos (* 2 (* u2 (PI))))
(* -2 (log u1))
(* -2 (log u1))
(* -2 (log u1))
(* -2 (log u1))
(* 2 (log (/ 1 u1)))
(* 2 (log (/ 1 u1)))
(* 2 (log (/ 1 u1)))
(* 2 (log (/ 1 u1)))
(* -2 (+ (log -1) (* -1 (log (/ -1 u1)))))
(* -2 (+ (log -1) (* -1 (log (/ -1 u1)))))
(* -2 (+ (log -1) (* -1 (log (/ -1 u1)))))
(* -2 (+ (log -1) (* -1 (log (/ -1 u1)))))
(* (sqrt (log u1)) (sqrt -2))
(* (sqrt (log u1)) (sqrt -2))
(* (sqrt (log u1)) (sqrt -2))
(* (sqrt (log u1)) (sqrt -2))
(* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1)))
(* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1)))
(* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1)))
(* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1)))
(* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))
(* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))
(* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))
(* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))
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(+.f64 #s(literal 1/4 binary64) (*.f64 (sqrt.f64 (log.f64 u1)) (*.f64 (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 u2 (PI.f64)))) (sqrt.f64 #s(literal -2 binary64))) (+.f64 (*.f64 (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 u2 (PI.f64)))) (*.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 #s(literal -2 binary64)))) #s(literal 1/36 binary64)) #s(literal -1/12 binary64)))))
(+ 1/4 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -2) (- (* 1/36 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))) 1/12))) (sqrt (log u1))))
(+.f64 #s(literal 1/4 binary64) (*.f64 (sqrt.f64 (log.f64 u1)) (*.f64 (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 u2 (PI.f64)))) (sqrt.f64 #s(literal -2 binary64))) (+.f64 (*.f64 (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 u2 (PI.f64)))) (*.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 #s(literal -2 binary64)))) #s(literal 1/36 binary64)) #s(literal -1/12 binary64)))))
(+ 1/4 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -2) (- (* 1/36 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))) 1/12))) (sqrt (log u1))))
(+.f64 #s(literal 1/4 binary64) (*.f64 (sqrt.f64 (log.f64 u1)) (*.f64 (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 u2 (PI.f64)))) (sqrt.f64 #s(literal -2 binary64))) (+.f64 (*.f64 (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 u2 (PI.f64)))) (*.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 #s(literal -2 binary64)))) #s(literal 1/36 binary64)) #s(literal -1/12 binary64)))))
(+ 1/4 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -2) (- (* 1/36 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))) 1/12))) (sqrt (log u1))))
(+.f64 #s(literal 1/4 binary64) (*.f64 (sqrt.f64 (log.f64 u1)) (*.f64 (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 u2 (PI.f64)))) (sqrt.f64 #s(literal -2 binary64))) (+.f64 (*.f64 (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 u2 (PI.f64)))) (*.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 #s(literal -2 binary64)))) #s(literal 1/36 binary64)) #s(literal -1/12 binary64)))))
(+ 1/4 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -2) (- (* 1/36 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))) 1/12))) (sqrt (log u1))))
(+.f64 #s(literal 1/4 binary64) (*.f64 (sqrt.f64 (log.f64 u1)) (*.f64 (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 u2 (PI.f64)))) (sqrt.f64 #s(literal -2 binary64))) (+.f64 (*.f64 (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 u2 (PI.f64)))) (*.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 #s(literal -2 binary64)))) #s(literal 1/36 binary64)) #s(literal -1/12 binary64)))))
(+ 1/4 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -2) (- (* 1/36 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))) 1/12))) (sqrt (log u1))))
(+.f64 #s(literal 1/4 binary64) (*.f64 (sqrt.f64 (log.f64 u1)) (*.f64 (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 u2 (PI.f64)))) (sqrt.f64 #s(literal -2 binary64))) (+.f64 (*.f64 (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 u2 (PI.f64)))) (*.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 #s(literal -2 binary64)))) #s(literal 1/36 binary64)) #s(literal -1/12 binary64)))))
1
#s(literal 1 binary64)
(+ 1 (* -2 (* (pow u2 2) (pow (PI) 2))))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal -2 binary64) (*.f64 u2 u2)) (*.f64 (PI.f64) (PI.f64))))
(+ 1 (* (pow u2 2) (+ (* -2 (pow (PI) 2)) (* 2/3 (* (pow u2 2) (pow (PI) 4))))))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 u2 u2) (+.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal -2 binary64)) (*.f64 (*.f64 #s(literal 2/3 binary64) (*.f64 u2 u2)) (pow.f64 (PI.f64) #s(literal 4 binary64))))))
(+ 1 (* (pow u2 2) (+ (* -2 (pow (PI) 2)) (* (pow u2 2) (+ (* -4/45 (* (pow u2 2) (pow (PI) 6))) (* 2/3 (pow (PI) 4)))))))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 u2 u2) (+.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal -2 binary64)) (*.f64 (*.f64 u2 u2) (+.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 4 binary64)) #s(literal 2/3 binary64)) (*.f64 (*.f64 #s(literal -4/45 binary64) (*.f64 u2 u2)) (pow.f64 (PI.f64) #s(literal 6 binary64))))))))
(cos (* 2 (* u2 (PI))))
(cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 u2 (PI.f64))))
(cos (* 2 (* u2 (PI))))
(cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 u2 (PI.f64))))
(cos (* 2 (* u2 (PI))))
(cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 u2 (PI.f64))))
(cos (* 2 (* u2 (PI))))
(cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 u2 (PI.f64))))
(cos (* 2 (* u2 (PI))))
(cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 u2 (PI.f64))))
(cos (* 2 (* u2 (PI))))
(cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 u2 (PI.f64))))
(cos (* 2 (* u2 (PI))))
(cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 u2 (PI.f64))))
(cos (* 2 (* u2 (PI))))
(cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 u2 (PI.f64))))
(* -2 (log u1))
(*.f64 (log.f64 u1) #s(literal -2 binary64))
(* -2 (log u1))
(*.f64 (log.f64 u1) #s(literal -2 binary64))
(* -2 (log u1))
(*.f64 (log.f64 u1) #s(literal -2 binary64))
(* -2 (log u1))
(*.f64 (log.f64 u1) #s(literal -2 binary64))
(* 2 (log (/ 1 u1)))
(*.f64 #s(literal 2 binary64) (-.f64 #s(literal 0 binary64) (log.f64 u1)))
(* 2 (log (/ 1 u1)))
(*.f64 #s(literal 2 binary64) (-.f64 #s(literal 0 binary64) (log.f64 u1)))
(* 2 (log (/ 1 u1)))
(*.f64 #s(literal 2 binary64) (-.f64 #s(literal 0 binary64) (log.f64 u1)))
(* 2 (log (/ 1 u1)))
(*.f64 #s(literal 2 binary64) (-.f64 #s(literal 0 binary64) (log.f64 u1)))
(* -2 (+ (log -1) (* -1 (log (/ -1 u1)))))
(*.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) u1))) #s(literal -2 binary64))
(* -2 (+ (log -1) (* -1 (log (/ -1 u1)))))
(*.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) u1))) #s(literal -2 binary64))
(* -2 (+ (log -1) (* -1 (log (/ -1 u1)))))
(*.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) u1))) #s(literal -2 binary64))
(* -2 (+ (log -1) (* -1 (log (/ -1 u1)))))
(*.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) u1))) #s(literal -2 binary64))
(* (sqrt (log u1)) (sqrt -2))
(*.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 #s(literal -2 binary64)))
(* (sqrt (log u1)) (sqrt -2))
(*.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 #s(literal -2 binary64)))
(* (sqrt (log u1)) (sqrt -2))
(*.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 #s(literal -2 binary64)))
(* (sqrt (log u1)) (sqrt -2))
(*.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 #s(literal -2 binary64)))
(* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1)))
(*.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (log.f64 u1))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -2 binary64))))
(* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1)))
(*.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (log.f64 u1))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -2 binary64))))
(* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1)))
(*.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (log.f64 u1))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -2 binary64))))
(* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1)))
(*.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (log.f64 u1))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -2 binary64))))
(* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))
(*.f64 (sqrt.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) u1)))) (sqrt.f64 #s(literal -2 binary64)))
(* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))
(*.f64 (sqrt.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) u1)))) (sqrt.f64 #s(literal -2 binary64)))
(* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))
(*.f64 (sqrt.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) u1)))) (sqrt.f64 #s(literal -2 binary64)))
(* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))
(*.f64 (sqrt.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) u1)))) (sqrt.f64 #s(literal -2 binary64)))

eval206.0ms (1.9%)

Compiler

Compiled 84044 to 3567 computations (95.8% saved)

prune141.0ms (1.3%)

Pruning

21 alts after pruning (21 fresh and 0 done)

PrunedKeptTotal
New1533171550
Fresh13417
Picked505
Done000
Total1551211572
Accuracy
100.0%
Counts
1572 → 21
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.4%
(fma.f64 (*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal 1/2 binary64))
97.9%
(/.f64 (+.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)))) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)))) #s(literal 2 binary64)) (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))))))))
▶98.0%
(/.f64 (+.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)))) #s(literal 3 binary64))) (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)))) (-.f64 (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)))) #s(literal 1/2 binary64)))))
▶99.3%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))))))))
99.1%
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))) (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal -1/6 binary64))))) #s(literal 1/4 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))) (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal -1/6 binary64))))) (*.f64 #s(literal -1/36 binary64) (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)))) #s(literal 2 binary64)))))
99.4%
(+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))))) #s(literal 1/2 binary64))
▶98.1%
(+.f64 (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)))) #s(literal 1/2 binary64))
97.9%
(+.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/4 binary64)) (*.f64 (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/4 binary64)) #s(literal 1/6 binary64))))
99.4%
(+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))) #s(literal 1/6 binary64)) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)))))
99.4%
(+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 2 binary64)) #s(literal 1/4 binary64))) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))))
99.2%
(+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/4 binary64)) #s(literal 2 binary64))) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))))
98.1%
(+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 (*.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal 1/4 binary64))) #s(literal 1 binary64)))
98.8%
(+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (log.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))))) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))))
▶99.4%
(+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (log.f64 u1))) (sqrt.f64 #s(literal 2 binary64)))) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))))
98.9%
(+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 #s(literal 1/6 binary64) (exp.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)))))) (-.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))))))))
97.7%
(+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 #s(literal 1/6 binary64) (exp.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)))))) #s(literal 1 binary64)))
99.2%
(+.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 (log.f64 (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)))))) #s(literal 1 binary64))))
98.7%
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))) (*.f64 (pow.f64 (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/4 binary64)) #s(literal 2 binary64)) #s(literal -1/6 binary64))))) (-.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))))) #s(literal 2 binary64))))
98.9%
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))) (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal -1/6 binary64))))) (-.f64 #s(literal 1/4 binary64) (+.f64 (*.f64 (*.f64 #s(literal 1/36 binary64) (log.f64 u1)) #s(literal -2 binary64)) (*.f64 #s(literal -1/9 binary64) (*.f64 (*.f64 (*.f64 u2 (PI.f64)) (*.f64 u2 (PI.f64))) (*.f64 (log.f64 u1) #s(literal -2 binary64)))))))
99.1%
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))) (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal -1/6 binary64))))) (-.f64 #s(literal 1/4 binary64) (*.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)))) #s(literal 2 binary64)) #s(literal 1/36 binary64))))
▶97.8%
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))) (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal -1/6 binary64))))) (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 #s(literal 1/36 binary64) (log.f64 u1)) #s(literal -2 binary64))))
Compiler

Compiled 1124 to 802 computations (28.6% saved)

simplify192.0ms (1.8%)

Algorithm
1×egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(+.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)))) #s(literal 3 binary64)))
✓cost-diff6656
(*.f64 (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)))) (-.f64 (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)))) #s(literal 1/2 binary64)))
✓cost-diff6656
(+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)))) (-.f64 (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)))) #s(literal 1/2 binary64))))
✓cost-diff6656
(/.f64 (+.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)))) #s(literal 3 binary64))) (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)))) (-.f64 (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)))) #s(literal 1/2 binary64)))))
✓cost-diff0
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))) (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal -1/6 binary64)))))
✓cost-diff128
(*.f64 (*.f64 #s(literal 1/36 binary64) (log.f64 u1)) #s(literal -2 binary64))
✓cost-diff128
(-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 #s(literal 1/36 binary64) (log.f64 u1)) #s(literal -2 binary64)))
✓cost-diff256
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))) (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal -1/6 binary64))))) (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 #s(literal 1/36 binary64) (log.f64 u1)) #s(literal -2 binary64))))
✓cost-diff0
(*.f64 #s(literal 1/6 binary64) (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))))
✓cost-diff0
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))))))
✓cost-diff0
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))))))
✓cost-diff256
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))))))))
✓cost-diff0
(*.f64 #s(literal -2 binary64) (log.f64 u1))
✓cost-diff0
(sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)))
✓cost-diff0
(*.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))))
✓cost-diff0
(+.f64 (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)))) #s(literal 1/2 binary64))
✓cost-diff0
(*.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (log.f64 u1))) (sqrt.f64 #s(literal 2 binary64)))
✓cost-diff0
(*.f64 #s(literal 1/6 binary64) (*.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (log.f64 u1))) (sqrt.f64 #s(literal 2 binary64))))
✓cost-diff0
(*.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (log.f64 u1))) (sqrt.f64 #s(literal 2 binary64)))) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))))
✓cost-diff0
(+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (log.f64 u1))) (sqrt.f64 #s(literal 2 binary64)))) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))))
Rules
2174×fnmadd-define
2062×sum3-define
1898×*-lowering-*.f32
1898×*-lowering-*.f64
1812×fma-lowering-fma.f32
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
048470
1111452
2263438
3650435
41303435
52549435
63599435
74756435
86259435
97625435
08139435
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(+ 1/2 (* (* 1/6 (* (sqrt (- 0 (log u1))) (sqrt 2))) (cos (* 2 (* (PI) u2)))))
1/2
(* (* 1/6 (* (sqrt (- 0 (log u1))) (sqrt 2))) (cos (* 2 (* (PI) u2))))
(* 1/6 (* (sqrt (- 0 (log u1))) (sqrt 2)))
1/6
(* (sqrt (- 0 (log u1))) (sqrt 2))
(sqrt (- 0 (log u1)))
(- 0 (log u1))
0
(log u1)
u1
(sqrt 2)
2
(cos (* 2 (* (PI) u2)))
(* 2 (* (PI) u2))
(* (PI) u2)
(PI)
u2
(+ (* 1/6 (sqrt (* -2 (log u1)))) 1/2)
(* 1/6 (sqrt (* -2 (log u1))))
1/6
(sqrt (* -2 (log u1)))
(* -2 (log u1))
-2
(log u1)
u1
1/2
(/ 1 (/ 1 (+ 1/2 (* 1/6 (* (sqrt (* -2 (log u1))) (cos (* 2 (* (PI) u2))))))))
1
(/ 1 (+ 1/2 (* 1/6 (* (sqrt (* -2 (log u1))) (cos (* 2 (* (PI) u2)))))))
(+ 1/2 (* 1/6 (* (sqrt (* -2 (log u1))) (cos (* 2 (* (PI) u2))))))
1/2
(* 1/6 (* (sqrt (* -2 (log u1))) (cos (* 2 (* (PI) u2)))))
1/6
(* (sqrt (* -2 (log u1))) (cos (* 2 (* (PI) u2))))
(sqrt (* -2 (log u1)))
(* -2 (log u1))
-2
(log u1)
u1
(cos (* 2 (* (PI) u2)))
(* 2 (* (PI) u2))
2
(* (PI) u2)
(PI)
u2
(* (/ 1 (+ 1/2 (* (cos (* 2 (* (PI) u2))) (* (sqrt (* -2 (log u1))) -1/6)))) (- 1/4 (* (* 1/36 (log u1)) -2)))
(/ 1 (+ 1/2 (* (cos (* 2 (* (PI) u2))) (* (sqrt (* -2 (log u1))) -1/6))))
1
(+ 1/2 (* (cos (* 2 (* (PI) u2))) (* (sqrt (* -2 (log u1))) -1/6)))
1/2
(* (cos (* 2 (* (PI) u2))) (* (sqrt (* -2 (log u1))) -1/6))
(cos (* 2 (* (PI) u2)))
(* 2 (* (PI) u2))
2
(* (PI) u2)
(PI)
u2
(* (sqrt (* -2 (log u1))) -1/6)
(sqrt (* -2 (log u1)))
(* -2 (log u1))
-2
(log u1)
u1
-1/6
(- 1/4 (* (* 1/36 (log u1)) -2))
1/4
(* (* 1/36 (log u1)) -2)
(* 1/36 (log u1))
1/36
(/ (+ 1/8 (pow (* 1/6 (sqrt (* -2 (log u1)))) 3)) (+ 1/4 (* (* 1/6 (sqrt (* -2 (log u1)))) (- (* 1/6 (sqrt (* -2 (log u1)))) 1/2))))
(+ 1/8 (pow (* 1/6 (sqrt (* -2 (log u1)))) 3))
1/8
(pow (* 1/6 (sqrt (* -2 (log u1)))) 3)
(* 1/6 (sqrt (* -2 (log u1))))
1/6
(sqrt (* -2 (log u1)))
(* -2 (log u1))
-2
(log u1)
u1
3
(+ 1/4 (* (* 1/6 (sqrt (* -2 (log u1)))) (- (* 1/6 (sqrt (* -2 (log u1)))) 1/2)))
1/4
(* (* 1/6 (sqrt (* -2 (log u1)))) (- (* 1/6 (sqrt (* -2 (log u1)))) 1/2))
(- (* 1/6 (sqrt (* -2 (log u1)))) 1/2)
1/2
Outputs
(+ 1/2 (* (* 1/6 (* (sqrt (- 0 (log u1))) (sqrt 2))) (cos (* 2 (* (PI) u2)))))
(+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (log.f64 u1))) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal 2 binary64)))) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))))
1/2
#s(literal 1/2 binary64)
(* (* 1/6 (* (sqrt (- 0 (log u1))) (sqrt 2))) (cos (* 2 (* (PI) u2))))
(*.f64 (*.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (log.f64 u1))) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal 2 binary64)))) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))))
(* 1/6 (* (sqrt (- 0 (log u1))) (sqrt 2)))
(*.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (log.f64 u1))) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal 2 binary64))))
1/6
#s(literal 1/6 binary64)
(* (sqrt (- 0 (log u1))) (sqrt 2))
(*.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (log.f64 u1))) (sqrt.f64 #s(literal 2 binary64)))
(sqrt (- 0 (log u1)))
(sqrt.f64 (-.f64 #s(literal 0 binary64) (log.f64 u1)))
(- 0 (log u1))
(-.f64 #s(literal 0 binary64) (log.f64 u1))
0
#s(literal 0 binary64)
(log u1)
(log.f64 u1)
u1
(sqrt 2)
(sqrt.f64 #s(literal 2 binary64))
2
#s(literal 2 binary64)
(cos (* 2 (* (PI) u2)))
(cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))
(* 2 (* (PI) u2))
(*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))
(* (PI) u2)
(*.f64 (PI.f64) u2)
(PI)
(PI.f64)
u2
(+ (* 1/6 (sqrt (* -2 (log u1)))) 1/2)
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)))))
(* 1/6 (sqrt (* -2 (log u1))))
(*.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))))
1/6
#s(literal 1/6 binary64)
(sqrt (* -2 (log u1)))
(sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)))
(* -2 (log u1))
(*.f64 (log.f64 u1) #s(literal -2 binary64))
-2
#s(literal -2 binary64)
(log u1)
(log.f64 u1)
u1
1/2
#s(literal 1/2 binary64)
(/ 1 (/ 1 (+ 1/2 (* 1/6 (* (sqrt (* -2 (log u1))) (cos (* 2 (* (PI) u2))))))))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))) (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))))))
1
#s(literal 1 binary64)
(/ 1 (+ 1/2 (* 1/6 (* (sqrt (* -2 (log u1))) (cos (* 2 (* (PI) u2)))))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))) (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)))))))
(+ 1/2 (* 1/6 (* (sqrt (* -2 (log u1))) (cos (* 2 (* (PI) u2))))))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))) (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))))))
1/2
#s(literal 1/2 binary64)
(* 1/6 (* (sqrt (* -2 (log u1))) (cos (* 2 (* (PI) u2)))))
(*.f64 #s(literal 1/6 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))) (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)))))
1/6
#s(literal 1/6 binary64)
(* (sqrt (* -2 (log u1))) (cos (* 2 (* (PI) u2))))
(*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))) (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))))
(sqrt (* -2 (log u1)))
(sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)))
(* -2 (log u1))
(*.f64 (log.f64 u1) #s(literal -2 binary64))
-2
#s(literal -2 binary64)
(log u1)
(log.f64 u1)
u1
(cos (* 2 (* (PI) u2)))
(cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))
(* 2 (* (PI) u2))
(*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))
2
#s(literal 2 binary64)
(* (PI) u2)
(*.f64 (PI.f64) u2)
(PI)
(PI.f64)
u2
(* (/ 1 (+ 1/2 (* (cos (* 2 (* (PI) u2))) (* (sqrt (* -2 (log u1))) -1/6)))) (- 1/4 (* (* 1/36 (log u1)) -2)))
(/.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 (log.f64 u1) #s(literal -1/18 binary64))) (+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))) (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal -1/6 binary64)))))
(/ 1 (+ 1/2 (* (cos (* 2 (* (PI) u2))) (* (sqrt (* -2 (log u1))) -1/6))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))) (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal -1/6 binary64)))))
1
#s(literal 1 binary64)
(+ 1/2 (* (cos (* 2 (* (PI) u2))) (* (sqrt (* -2 (log u1))) -1/6)))
(+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))) (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal -1/6 binary64))))
1/2
#s(literal 1/2 binary64)
(* (cos (* 2 (* (PI) u2))) (* (sqrt (* -2 (log u1))) -1/6))
(*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))) (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal -1/6 binary64)))
(cos (* 2 (* (PI) u2)))
(cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))
(* 2 (* (PI) u2))
(*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))
2
#s(literal 2 binary64)
(* (PI) u2)
(*.f64 (PI.f64) u2)
(PI)
(PI.f64)
u2
(* (sqrt (* -2 (log u1))) -1/6)
(*.f64 (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal -1/6 binary64))
(sqrt (* -2 (log u1)))
(sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)))
(* -2 (log u1))
(*.f64 (log.f64 u1) #s(literal -2 binary64))
-2
#s(literal -2 binary64)
(log u1)
(log.f64 u1)
u1
-1/6
#s(literal -1/6 binary64)
(- 1/4 (* (* 1/36 (log u1)) -2))
(-.f64 #s(literal 1/4 binary64) (*.f64 (log.f64 u1) #s(literal -1/18 binary64)))
1/4
#s(literal 1/4 binary64)
(* (* 1/36 (log u1)) -2)
(*.f64 (log.f64 u1) #s(literal -1/18 binary64))
(* 1/36 (log u1))
(*.f64 (log.f64 u1) #s(literal 1/36 binary64))
1/36
#s(literal 1/36 binary64)
(/ (+ 1/8 (pow (* 1/6 (sqrt (* -2 (log u1)))) 3)) (+ 1/4 (* (* 1/6 (sqrt (* -2 (log u1)))) (- (* 1/6 (sqrt (* -2 (log u1)))) 1/2))))
(/.f64 (+.f64 #s(literal 1/8 binary64) (*.f64 #s(literal 1/216 binary64) (pow.f64 (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal 3 binary64)))) (+.f64 (*.f64 (log.f64 u1) #s(literal -1/18 binary64)) (+.f64 #s(literal 1/4 binary64) (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal -1/12 binary64)))))
(+ 1/8 (pow (* 1/6 (sqrt (* -2 (log u1)))) 3))
(+.f64 #s(literal 1/8 binary64) (*.f64 #s(literal 1/216 binary64) (pow.f64 (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal 3 binary64))))
1/8
#s(literal 1/8 binary64)
(pow (* 1/6 (sqrt (* -2 (log u1)))) 3)
(*.f64 #s(literal 1/216 binary64) (pow.f64 (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal 3 binary64)))
(* 1/6 (sqrt (* -2 (log u1))))
(*.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))))
1/6
#s(literal 1/6 binary64)
(sqrt (* -2 (log u1)))
(sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)))
(* -2 (log u1))
(*.f64 (log.f64 u1) #s(literal -2 binary64))
-2
#s(literal -2 binary64)
(log u1)
(log.f64 u1)
u1
3
#s(literal 3 binary64)
(+ 1/4 (* (* 1/6 (sqrt (* -2 (log u1)))) (- (* 1/6 (sqrt (* -2 (log u1)))) 1/2)))
(+.f64 (*.f64 (log.f64 u1) #s(literal -1/18 binary64)) (+.f64 #s(literal 1/4 binary64) (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal -1/12 binary64))))
1/4
#s(literal 1/4 binary64)
(* (* 1/6 (sqrt (* -2 (log u1)))) (- (* 1/6 (sqrt (* -2 (log u1)))) 1/2))
(+.f64 (*.f64 (log.f64 u1) #s(literal -1/18 binary64)) (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal -1/12 binary64)))
(- (* 1/6 (sqrt (* -2 (log u1)))) 1/2)
(+.f64 (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)))) #s(literal -1/2 binary64))
1/2
#s(literal 1/2 binary64)

localize290.0ms (2.7%)

Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
✓accuracy99.5%
(/.f64 (+.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)))) #s(literal 3 binary64))) (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)))) (-.f64 (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)))) #s(literal 1/2 binary64)))))
✓accuracy99.3%
(*.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))))
✓accuracy99.2%
(*.f64 (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)))) (-.f64 (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)))) #s(literal 1/2 binary64)))
✓accuracy98.8%
(pow.f64 (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)))) #s(literal 3 binary64))
✓accuracy99.5%
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))) (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal -1/6 binary64)))))
✓accuracy99.5%
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))) (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal -1/6 binary64))))) (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 #s(literal 1/36 binary64) (log.f64 u1)) #s(literal -2 binary64))))
✓accuracy99.4%
(*.f64 #s(literal 1/36 binary64) (log.f64 u1))
✓accuracy99.3%
(*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal -1/6 binary64))
✓accuracy99.6%
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))))))
✓accuracy99.6%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))))))))
✓accuracy99.6%
(*.f64 (PI.f64) u2)
✓accuracy99.3%
(*.f64 #s(literal 1/6 binary64) (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))))
✓accuracy100.0%
(log.f64 u1)
✓accuracy99.9%
(+.f64 (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)))) #s(literal 1/2 binary64))
✓accuracy99.8%
(sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)))
✓accuracy99.3%
(*.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))))
✓accuracy99.7%
(sqrt.f64 (-.f64 #s(literal 0 binary64) (log.f64 u1)))
✓accuracy99.6%
(*.f64 (PI.f64) u2)
✓accuracy99.3%
(*.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (log.f64 u1))) (sqrt.f64 #s(literal 2 binary64)))
✓accuracy99.3%
(*.f64 #s(literal 1/6 binary64) (*.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (log.f64 u1))) (sqrt.f64 #s(literal 2 binary64))))
Results
150.0ms256×0valid
Compiler

Compiled 491 to 49 computations (90% saved)

Precisions
Click to see histograms. Total time spent on operations: 73.0ms
ival-mult: 25.0ms (34.1% of total)
...c/correct-round.rkt:119:19: 12.0ms (16.4% of total)
ival-add: 7.0ms (9.6% of total)
ival-div: 6.0ms (8.2% of total)
ival-sqrt: 5.0ms (6.8% of total)
ival-sub: 4.0ms (5.5% of total)
ival-log: 4.0ms (5.5% of total)
ival-pow: 4.0ms (5.5% of total)
ival-cos: 2.0ms (2.7% of total)
ival-pi: 1.0ms (1.4% of total)
const: 1.0ms (1.4% of total)
backward-pass: 0.0ms (0% of total)

series46.0ms (0.4%)

Counts
26 → 408
Calls
Call 1
Inputs
#<alt (+ 1/2 (* (* 1/6 (* (sqrt (- 0 (log u1))) (sqrt 2))) (cos (* 2 (* (PI) u2)))))>
#<alt (* (* 1/6 (* (sqrt (- 0 (log u1))) (sqrt 2))) (cos (* 2 (* (PI) u2))))>
#<alt (* 1/6 (* (sqrt (- 0 (log u1))) (sqrt 2)))>
#<alt (* (sqrt (- 0 (log u1))) (sqrt 2))>
#<alt (+ (* 1/6 (sqrt (* -2 (log u1)))) 1/2)>
#<alt (* 1/6 (sqrt (* -2 (log u1))))>
#<alt (sqrt (* -2 (log u1)))>
#<alt (* -2 (log u1))>
#<alt (/ 1 (/ 1 (+ 1/2 (* 1/6 (* (sqrt (* -2 (log u1))) (cos (* 2 (* (PI) u2))))))))>
#<alt (/ 1 (+ 1/2 (* 1/6 (* (sqrt (* -2 (log u1))) (cos (* 2 (* (PI) u2)))))))>
#<alt (+ 1/2 (* 1/6 (* (sqrt (* -2 (log u1))) (cos (* 2 (* (PI) u2))))))>
#<alt (* 1/6 (* (sqrt (* -2 (log u1))) (cos (* 2 (* (PI) u2)))))>
#<alt (* (/ 1 (+ 1/2 (* (cos (* 2 (* (PI) u2))) (* (sqrt (* -2 (log u1))) -1/6)))) (- 1/4 (* (* 1/36 (log u1)) -2)))>
#<alt (- 1/4 (* (* 1/36 (log u1)) -2))>
#<alt (* (* 1/36 (log u1)) -2)>
#<alt (/ 1 (+ 1/2 (* (cos (* 2 (* (PI) u2))) (* (sqrt (* -2 (log u1))) -1/6))))>
#<alt (/ (+ 1/8 (pow (* 1/6 (sqrt (* -2 (log u1)))) 3)) (+ 1/4 (* (* 1/6 (sqrt (* -2 (log u1)))) (- (* 1/6 (sqrt (* -2 (log u1)))) 1/2))))>
#<alt (+ 1/4 (* (* 1/6 (sqrt (* -2 (log u1)))) (- (* 1/6 (sqrt (* -2 (log u1)))) 1/2)))>
#<alt (* (* 1/6 (sqrt (* -2 (log u1)))) (- (* 1/6 (sqrt (* -2 (log u1)))) 1/2))>
#<alt (+ 1/8 (pow (* 1/6 (sqrt (* -2 (log u1)))) 3))>
#<alt (* (PI) u2)>
#<alt (sqrt (- 0 (log u1)))>
#<alt (log u1)>
#<alt (* (sqrt (* -2 (log u1))) -1/6)>
#<alt (* 1/36 (log u1))>
#<alt (pow (* 1/6 (sqrt (* -2 (log u1)))) 3)>
Outputs
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#<alt (+ 1/2 (+ (* 1/6 (* (sqrt (log u1)) (* (sqrt -1) (sqrt 2)))) (* (pow u2 2) (+ (* -1/3 (* (* (pow (PI) 2) (* (sqrt -1) (sqrt 2))) (sqrt (log u1)))) (* 1/9 (* (* (pow u2 2) (* (pow (PI) 4) (* (sqrt -1) (sqrt 2)))) (sqrt (log u1))))))))>
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#<alt (* 1/6 (* (sqrt (log u1)) (* (sqrt -1) (sqrt 2))))>
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#<alt (+ (* 1/6 (* (sqrt (log u1)) (* (sqrt -1) (sqrt 2)))) (* (pow u2 2) (+ (* -1/3 (* (* (pow (PI) 2) (* (sqrt -1) (sqrt 2))) (sqrt (log u1)))) (* 1/9 (* (* (pow u2 2) (* (pow (PI) 4) (* (sqrt -1) (sqrt 2)))) (sqrt (log u1)))))))>
#<alt (+ (* 1/6 (* (sqrt (log u1)) (* (sqrt -1) (sqrt 2)))) (* (pow u2 2) (+ (* -1/3 (* (* (pow (PI) 2) (* (sqrt -1) (sqrt 2))) (sqrt (log u1)))) (* (pow u2 2) (+ (* -2/135 (* (* (pow u2 2) (* (pow (PI) 6) (* (sqrt -1) (sqrt 2)))) (sqrt (log u1)))) (* 1/9 (* (* (pow (PI) 4) (* (sqrt -1) (sqrt 2))) (sqrt (log u1)))))))))>
#<alt (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (sqrt 2))) (sqrt (log u1))))>
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#<alt (* 2 (log (/ 1 u1)))>
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#<alt (/ (+ 1/8 (* 1/216 (* (pow (sqrt -2) 3) (sqrt (pow (+ (log -1) (* -1 (log (/ -1 u1)))) 3))))) (+ 1/4 (* 1/6 (* (* (sqrt -2) (- (* 1/6 (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))) 1/2)) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))))))>
#<alt (+ 1/4 (* 1/6 (* (sqrt (log u1)) (* (sqrt -2) (- (* 1/6 (* (sqrt (log u1)) (sqrt -2))) 1/2)))))>
#<alt (+ 1/4 (* 1/6 (* (sqrt (log u1)) (* (sqrt -2) (- (* 1/6 (* (sqrt (log u1)) (sqrt -2))) 1/2)))))>
#<alt (+ 1/4 (* 1/6 (* (sqrt (log u1)) (* (sqrt -2) (- (* 1/6 (* (sqrt (log u1)) (sqrt -2))) 1/2)))))>
#<alt (+ 1/4 (* 1/6 (* (sqrt (log u1)) (* (sqrt -2) (- (* 1/6 (* (sqrt (log u1)) (sqrt -2))) 1/2)))))>
#<alt (+ 1/4 (* 1/6 (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (* (sqrt -1) (- (* 1/6 (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1)))) 1/2))))))>
#<alt (+ 1/4 (* 1/6 (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (* (sqrt -1) (- (* 1/6 (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1)))) 1/2))))))>
#<alt (+ 1/4 (* 1/6 (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (* (sqrt -1) (- (* 1/6 (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1)))) 1/2))))))>
#<alt (+ 1/4 (* 1/6 (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (* (sqrt -1) (- (* 1/6 (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1)))) 1/2))))))>
#<alt (+ 1/4 (* 1/6 (* (* (sqrt -2) (- (* 1/6 (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))) 1/2)) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))))>
#<alt (+ 1/4 (* 1/6 (* (* (sqrt -2) (- (* 1/6 (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))) 1/2)) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))))>
#<alt (+ 1/4 (* 1/6 (* (* (sqrt -2) (- (* 1/6 (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))) 1/2)) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))))>
#<alt (+ 1/4 (* 1/6 (* (* (sqrt -2) (- (* 1/6 (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))) 1/2)) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))))>
#<alt (* 1/6 (* (sqrt (log u1)) (* (sqrt -2) (- (* 1/6 (* (sqrt (log u1)) (sqrt -2))) 1/2))))>
#<alt (* 1/6 (* (sqrt (log u1)) (* (sqrt -2) (- (* 1/6 (* (sqrt (log u1)) (sqrt -2))) 1/2))))>
#<alt (* 1/6 (* (sqrt (log u1)) (* (sqrt -2) (- (* 1/6 (* (sqrt (log u1)) (sqrt -2))) 1/2))))>
#<alt (* 1/6 (* (sqrt (log u1)) (* (sqrt -2) (- (* 1/6 (* (sqrt (log u1)) (sqrt -2))) 1/2))))>
#<alt (* 1/6 (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (* (sqrt -1) (- (* 1/6 (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1)))) 1/2)))))>
#<alt (* 1/6 (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (* (sqrt -1) (- (* 1/6 (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1)))) 1/2)))))>
#<alt (* 1/6 (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (* (sqrt -1) (- (* 1/6 (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1)))) 1/2)))))>
#<alt (* 1/6 (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (* (sqrt -1) (- (* 1/6 (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1)))) 1/2)))))>
#<alt (* 1/6 (* (* (sqrt -2) (- (* 1/6 (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))) 1/2)) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))))>
#<alt (* 1/6 (* (* (sqrt -2) (- (* 1/6 (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))) 1/2)) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))))>
#<alt (* 1/6 (* (* (sqrt -2) (- (* 1/6 (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))) 1/2)) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))))>
#<alt (* 1/6 (* (* (sqrt -2) (- (* 1/6 (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))) 1/2)) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))))>
#<alt (+ 1/8 (* 1/216 (* (sqrt (pow (log u1) 3)) (pow (sqrt -2) 3))))>
#<alt (+ 1/8 (* 1/216 (* (sqrt (pow (log u1) 3)) (pow (sqrt -2) 3))))>
#<alt (+ 1/8 (* 1/216 (* (sqrt (pow (log u1) 3)) (pow (sqrt -2) 3))))>
#<alt (+ 1/8 (* 1/216 (* (sqrt (pow (log u1) 3)) (pow (sqrt -2) 3))))>
#<alt (+ 1/8 (* 1/216 (* (sqrt (pow (log (/ 1 u1)) 3)) (* (pow (sqrt -2) 3) (sqrt -1)))))>
#<alt (+ 1/8 (* 1/216 (* (sqrt (pow (log (/ 1 u1)) 3)) (* (pow (sqrt -2) 3) (sqrt -1)))))>
#<alt (+ 1/8 (* 1/216 (* (sqrt (pow (log (/ 1 u1)) 3)) (* (pow (sqrt -2) 3) (sqrt -1)))))>
#<alt (+ 1/8 (* 1/216 (* (sqrt (pow (log (/ 1 u1)) 3)) (* (pow (sqrt -2) 3) (sqrt -1)))))>
#<alt (+ 1/8 (* 1/216 (* (pow (sqrt -2) 3) (sqrt (pow (+ (log -1) (* -1 (log (/ -1 u1)))) 3)))))>
#<alt (+ 1/8 (* 1/216 (* (pow (sqrt -2) 3) (sqrt (pow (+ (log -1) (* -1 (log (/ -1 u1)))) 3)))))>
#<alt (+ 1/8 (* 1/216 (* (pow (sqrt -2) 3) (sqrt (pow (+ (log -1) (* -1 (log (/ -1 u1)))) 3)))))>
#<alt (+ 1/8 (* 1/216 (* (pow (sqrt -2) 3) (sqrt (pow (+ (log -1) (* -1 (log (/ -1 u1)))) 3)))))>
#<alt (* u2 (PI))>
#<alt (* u2 (PI))>
#<alt (* u2 (PI))>
#<alt (* u2 (PI))>
#<alt (* u2 (PI))>
#<alt (* u2 (PI))>
#<alt (* u2 (PI))>
#<alt (* u2 (PI))>
#<alt (* u2 (PI))>
#<alt (* u2 (PI))>
#<alt (* u2 (PI))>
#<alt (* u2 (PI))>
#<alt (* (sqrt (log u1)) (sqrt -1))>
#<alt (* (sqrt (log u1)) (sqrt -1))>
#<alt (* (sqrt (log u1)) (sqrt -1))>
#<alt (* (sqrt (log u1)) (sqrt -1))>
#<alt (* (sqrt (log (/ 1 u1))) (pow (sqrt -1) 2))>
#<alt (* (sqrt (log (/ 1 u1))) (pow (sqrt -1) 2))>
#<alt (* (sqrt (log (/ 1 u1))) (pow (sqrt -1) 2))>
#<alt (* (sqrt (log (/ 1 u1))) (pow (sqrt -1) 2))>
#<alt (* (sqrt -1) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))>
#<alt (* (sqrt -1) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))>
#<alt (* (sqrt -1) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))>
#<alt (* (sqrt -1) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))>
#<alt (log u1)>
#<alt (log u1)>
#<alt (log u1)>
#<alt (log u1)>
#<alt (* -1 (log (/ 1 u1)))>
#<alt (* -1 (log (/ 1 u1)))>
#<alt (* -1 (log (/ 1 u1)))>
#<alt (* -1 (log (/ 1 u1)))>
#<alt (+ (log -1) (* -1 (log (/ -1 u1))))>
#<alt (+ (log -1) (* -1 (log (/ -1 u1))))>
#<alt (+ (log -1) (* -1 (log (/ -1 u1))))>
#<alt (+ (log -1) (* -1 (log (/ -1 u1))))>
#<alt (* -1/6 (* (sqrt (log u1)) (sqrt -2)))>
#<alt (* -1/6 (* (sqrt (log u1)) (sqrt -2)))>
#<alt (* -1/6 (* (sqrt (log u1)) (sqrt -2)))>
#<alt (* -1/6 (* (sqrt (log u1)) (sqrt -2)))>
#<alt (* -1/6 (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1))))>
#<alt (* -1/6 (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1))))>
#<alt (* -1/6 (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1))))>
#<alt (* -1/6 (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1))))>
#<alt (* -1/6 (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))))>
#<alt (* -1/6 (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))))>
#<alt (* -1/6 (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))))>
#<alt (* -1/6 (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))))>
#<alt (* 1/36 (log u1))>
#<alt (* 1/36 (log u1))>
#<alt (* 1/36 (log u1))>
#<alt (* 1/36 (log u1))>
#<alt (* -1/36 (log (/ 1 u1)))>
#<alt (* -1/36 (log (/ 1 u1)))>
#<alt (* -1/36 (log (/ 1 u1)))>
#<alt (* -1/36 (log (/ 1 u1)))>
#<alt (* 1/36 (+ (log -1) (* -1 (log (/ -1 u1)))))>
#<alt (* 1/36 (+ (log -1) (* -1 (log (/ -1 u1)))))>
#<alt (* 1/36 (+ (log -1) (* -1 (log (/ -1 u1)))))>
#<alt (* 1/36 (+ (log -1) (* -1 (log (/ -1 u1)))))>
#<alt (* 1/216 (* (sqrt (pow (log u1) 3)) (pow (sqrt -2) 3)))>
#<alt (* 1/216 (* (sqrt (pow (log u1) 3)) (pow (sqrt -2) 3)))>
#<alt (* 1/216 (* (sqrt (pow (log u1) 3)) (pow (sqrt -2) 3)))>
#<alt (* 1/216 (* (sqrt (pow (log u1) 3)) (pow (sqrt -2) 3)))>
#<alt (* 1/216 (* (sqrt (pow (log (/ 1 u1)) 3)) (* (pow (sqrt -2) 3) (sqrt -1))))>
#<alt (* 1/216 (* (sqrt (pow (log (/ 1 u1)) 3)) (* (pow (sqrt -2) 3) (sqrt -1))))>
#<alt (* 1/216 (* (sqrt (pow (log (/ 1 u1)) 3)) (* (pow (sqrt -2) 3) (sqrt -1))))>
#<alt (* 1/216 (* (sqrt (pow (log (/ 1 u1)) 3)) (* (pow (sqrt -2) 3) (sqrt -1))))>
#<alt (* 1/216 (* (pow (sqrt -2) 3) (sqrt (pow (+ (log -1) (* -1 (log (/ -1 u1)))) 3))))>
#<alt (* 1/216 (* (pow (sqrt -2) 3) (sqrt (pow (+ (log -1) (* -1 (log (/ -1 u1)))) 3))))>
#<alt (* 1/216 (* (pow (sqrt -2) 3) (sqrt (pow (+ (log -1) (* -1 (log (/ -1 u1)))) 3))))>
#<alt (* 1/216 (* (pow (sqrt -2) 3) (sqrt (pow (+ (log -1) (* -1 (log (/ -1 u1)))) 3))))>
Calls

102 calls:

TimeVariablePointExpression
5.0ms
u2
@0
(* (/ 1 (+ 1/2 (* (cos (* 2 (* (PI) u2))) (* (sqrt (* -2 (log u1))) -1/6)))) (- 1/4 (* (* 1/36 (log u1)) -2)))
3.0ms
u2
@-inf
(* (/ 1 (+ 1/2 (* (cos (* 2 (* (PI) u2))) (* (sqrt (* -2 (log u1))) -1/6)))) (- 1/4 (* (* 1/36 (log u1)) -2)))
2.0ms
u1
@-inf
(/ (+ 1/8 (pow (* 1/6 (sqrt (* -2 (log u1)))) 3)) (+ 1/4 (* (* 1/6 (sqrt (* -2 (log u1)))) (- (* 1/6 (sqrt (* -2 (log u1)))) 1/2))))
2.0ms
u1
@inf
(/ (+ 1/8 (pow (* 1/6 (sqrt (* -2 (log u1)))) 3)) (+ 1/4 (* (* 1/6 (sqrt (* -2 (log u1)))) (- (* 1/6 (sqrt (* -2 (log u1)))) 1/2))))
2.0ms
u1
@0
(/ (+ 1/8 (pow (* 1/6 (sqrt (* -2 (log u1)))) 3)) (+ 1/4 (* (* 1/6 (sqrt (* -2 (log u1)))) (- (* 1/6 (sqrt (* -2 (log u1)))) 1/2))))

rewrite442.0ms (4.1%)

Algorithm
1×batch-egg-rewrite
Rules
4634×*-lowering-*.f32
4634×*-lowering-*.f64
2436×/-lowering-/.f32
2436×/-lowering-/.f64
2122×fma-lowering-fma.f32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
048294
1269274
22056262
08678262
Stop Event
1×iter limit
1×node limit
Counts
26 → 721
Calls
Call 1
Inputs
(+ 1/2 (* (* 1/6 (* (sqrt (- 0 (log u1))) (sqrt 2))) (cos (* 2 (* (PI) u2)))))
(* (* 1/6 (* (sqrt (- 0 (log u1))) (sqrt 2))) (cos (* 2 (* (PI) u2))))
(* 1/6 (* (sqrt (- 0 (log u1))) (sqrt 2)))
(* (sqrt (- 0 (log u1))) (sqrt 2))
(+ (* 1/6 (sqrt (* -2 (log u1)))) 1/2)
(* 1/6 (sqrt (* -2 (log u1))))
(sqrt (* -2 (log u1)))
(* -2 (log u1))
(/ 1 (/ 1 (+ 1/2 (* 1/6 (* (sqrt (* -2 (log u1))) (cos (* 2 (* (PI) u2))))))))
(/ 1 (+ 1/2 (* 1/6 (* (sqrt (* -2 (log u1))) (cos (* 2 (* (PI) u2)))))))
(+ 1/2 (* 1/6 (* (sqrt (* -2 (log u1))) (cos (* 2 (* (PI) u2))))))
(* 1/6 (* (sqrt (* -2 (log u1))) (cos (* 2 (* (PI) u2)))))
(* (/ 1 (+ 1/2 (* (cos (* 2 (* (PI) u2))) (* (sqrt (* -2 (log u1))) -1/6)))) (- 1/4 (* (* 1/36 (log u1)) -2)))
(- 1/4 (* (* 1/36 (log u1)) -2))
(* (* 1/36 (log u1)) -2)
(/ 1 (+ 1/2 (* (cos (* 2 (* (PI) u2))) (* (sqrt (* -2 (log u1))) -1/6))))
(/ (+ 1/8 (pow (* 1/6 (sqrt (* -2 (log u1)))) 3)) (+ 1/4 (* (* 1/6 (sqrt (* -2 (log u1)))) (- (* 1/6 (sqrt (* -2 (log u1)))) 1/2))))
(+ 1/4 (* (* 1/6 (sqrt (* -2 (log u1)))) (- (* 1/6 (sqrt (* -2 (log u1)))) 1/2)))
(* (* 1/6 (sqrt (* -2 (log u1)))) (- (* 1/6 (sqrt (* -2 (log u1)))) 1/2))
(+ 1/8 (pow (* 1/6 (sqrt (* -2 (log u1)))) 3))
(* (PI) u2)
(sqrt (- 0 (log u1)))
(log u1)
(* (sqrt (* -2 (log u1))) -1/6)
(* 1/36 (log u1))
(pow (* 1/6 (sqrt (* -2 (log u1)))) 3)
Outputs
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 (sqrt.f64 (*.f64 (-.f64 #s(literal 0 binary64) (log.f64 u1)) #s(literal 2 binary64))) (cos.f64 (*.f64 u2 (*.f64 #s(literal 2 binary64) (PI.f64)))))))
(+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 (sqrt.f64 (*.f64 (-.f64 #s(literal 0 binary64) (log.f64 u1)) #s(literal 2 binary64))) (cos.f64 (*.f64 u2 (*.f64 #s(literal 2 binary64) (PI.f64)))))) #s(literal 1/2 binary64))
(-.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 (sqrt.f64 (*.f64 (-.f64 #s(literal 0 binary64) (log.f64 u1)) #s(literal 2 binary64))) (cos.f64 (*.f64 u2 (*.f64 #s(literal 2 binary64) (PI.f64)))))))) (/.f64 (pow.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 (sqrt.f64 (*.f64 (-.f64 #s(literal 0 binary64) (log.f64 u1)) #s(literal 2 binary64))) (cos.f64 (*.f64 u2 (*.f64 #s(literal 2 binary64) (PI.f64)))))) #s(literal 2 binary64)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 (sqrt.f64 (*.f64 (-.f64 #s(literal 0 binary64) (log.f64 u1)) #s(literal 2 binary64))) (cos.f64 (*.f64 u2 (*.f64 #s(literal 2 binary64) (PI.f64)))))))))
(fma.f64 #s(literal 1/6 binary64) (*.f64 (sqrt.f64 (*.f64 (-.f64 #s(literal 0 binary64) (log.f64 u1)) #s(literal 2 binary64))) (cos.f64 (*.f64 u2 (*.f64 #s(literal 2 binary64) (PI.f64))))) #s(literal 1/2 binary64))
(fma.f64 (sqrt.f64 (*.f64 (-.f64 #s(literal 0 binary64) (log.f64 u1)) #s(literal 2 binary64))) (*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 u2 (*.f64 #s(literal 2 binary64) (PI.f64))))) #s(literal 1/2 binary64))
(fma.f64 (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 (-.f64 #s(literal 0 binary64) (log.f64 u1)) #s(literal 2 binary64)))) (cos.f64 (*.f64 u2 (*.f64 #s(literal 2 binary64) (PI.f64)))) #s(literal 1/2 binary64))
(fma.f64 (cos.f64 (*.f64 u2 (*.f64 #s(literal 2 binary64) (PI.f64)))) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 (-.f64 #s(literal 0 binary64) (log.f64 u1)) #s(literal 2 binary64)))) #s(literal 1/2 binary64))
(fma.f64 (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (-.f64 #s(literal 0 binary64) (log.f64 u1)))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 (*.f64 u2 (*.f64 #s(literal 2 binary64) (PI.f64))))) #s(literal 1/2 binary64))
(fma.f64 (*.f64 (sqrt.f64 (*.f64 (-.f64 #s(literal 0 binary64) (log.f64 u1)) #s(literal 2 binary64))) (cos.f64 (*.f64 u2 (*.f64 #s(literal 2 binary64) (PI.f64))))) #s(literal 1/6 binary64) #s(literal 1/2 binary64))
(fma.f64 (*.f64 (cos.f64 (*.f64 u2 (*.f64 #s(literal 2 binary64) (PI.f64)))) #s(literal 1/6 binary64)) (sqrt.f64 (*.f64 (-.f64 #s(literal 0 binary64) (log.f64 u1)) #s(literal 2 binary64))) #s(literal 1/2 binary64))
(fma.f64 (*.f64 (cos.f64 (*.f64 u2 (*.f64 #s(literal 2 binary64) (PI.f64)))) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (-.f64 #s(literal 0 binary64) (log.f64 u1))))) (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 (sqrt.f64 (*.f64 (-.f64 #s(literal 0 binary64) (log.f64 u1)) #s(literal 2 binary64))) (cos.f64 (*.f64 u2 (*.f64 #s(literal 2 binary64) (PI.f64)))))) (-.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 (sqrt.f64 (*.f64 (-.f64 #s(literal 0 binary64) (log.f64 u1)) #s(literal 2 binary64))) (cos.f64 (*.f64 u2 (*.f64 #s(literal 2 binary64) (PI.f64)))))) #s(literal 1/2 binary64)))) (+.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 (sqrt.f64 (*.f64 (-.f64 #s(literal 0 binary64) (log.f64 u1)) #s(literal 2 binary64))) (cos.f64 (*.f64 u2 (*.f64 #s(literal 2 binary64) (PI.f64)))))) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 (sqrt.f64 (*.f64 (-.f64 #s(literal 0 binary64) (log.f64 u1)) #s(literal 2 binary64))) (cos.f64 (*.f64 u2 (*.f64 #s(literal 2 binary64) (PI.f64))))))) (-.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 (sqrt.f64 (*.f64 (-.f64 #s(literal 0 binary64) (log.f64 u1)) #s(literal 2 binary64))) (cos.f64 (*.f64 u2 (*.f64 #s(literal 2 binary64) (PI.f64)))))) #s(literal 2 binary64)))))
(/.f64 (+.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 (sqrt.f64 (*.f64 (-.f64 #s(literal 0 binary64) (log.f64 u1)) #s(literal 2 binary64))) (cos.f64 (*.f64 u2 (*.f64 #s(literal 2 binary64) (PI.f64)))))) #s(literal 3 binary64))) (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 (sqrt.f64 (*.f64 (-.f64 #s(literal 0 binary64) (log.f64 u1)) #s(literal 2 binary64))) (cos.f64 (*.f64 u2 (*.f64 #s(literal 2 binary64) (PI.f64)))))) (-.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 (sqrt.f64 (*.f64 (-.f64 #s(literal 0 binary64) (log.f64 u1)) #s(literal 2 binary64))) (cos.f64 (*.f64 u2 (*.f64 #s(literal 2 binary64) (PI.f64)))))) #s(literal 1/2 binary64)))))
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(fma.f64 (pow.f64 (*.f64 (log.f64 u1) #s(literal -1/18 binary64)) #s(literal 3/4 binary64)) (pow.f64 (*.f64 (log.f64 u1) #s(literal -1/18 binary64)) #s(literal 3/4 binary64)) #s(literal 1/8 binary64))
(fma.f64 (*.f64 (*.f64 (log.f64 u1) #s(literal -1/18 binary64)) #s(literal 1/6 binary64)) (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal 1/8 binary64))
(fma.f64 (*.f64 (*.f64 (log.f64 u1) #s(literal -1/18 binary64)) (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)))) #s(literal 1/6 binary64) #s(literal 1/8 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/64 binary64) (-.f64 (*.f64 (pow.f64 (log.f64 u1) #s(literal 3 binary64)) #s(literal -1/5832 binary64)) (*.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 (log.f64 u1) #s(literal -1/18 binary64)) #s(literal 3/2 binary64))))) (+.f64 #s(literal 1/512 binary64) (pow.f64 (*.f64 (log.f64 u1) #s(literal -1/18 binary64)) #s(literal 9/2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 (log.f64 u1) #s(literal -1/18 binary64)) #s(literal 3/2 binary64))) (-.f64 #s(literal 1/64 binary64) (*.f64 (pow.f64 (log.f64 u1) #s(literal 3 binary64)) #s(literal -1/5832 binary64)))))
(/.f64 (+.f64 #s(literal 1/512 binary64) (pow.f64 (*.f64 (log.f64 u1) #s(literal -1/18 binary64)) #s(literal 9/2 binary64))) (+.f64 #s(literal 1/64 binary64) (-.f64 (*.f64 (pow.f64 (log.f64 u1) #s(literal 3 binary64)) #s(literal -1/5832 binary64)) (*.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 (log.f64 u1) #s(literal -1/18 binary64)) #s(literal 3/2 binary64))))))
(/.f64 (+.f64 #s(literal 1/512 binary64) (pow.f64 (*.f64 (log.f64 u1) #s(literal -1/18 binary64)) #s(literal 9/2 binary64))) (+.f64 (*.f64 (pow.f64 (log.f64 u1) #s(literal 3 binary64)) #s(literal -1/5832 binary64)) (-.f64 #s(literal 1/64 binary64) (*.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 (log.f64 u1) #s(literal -1/18 binary64)) #s(literal 3/2 binary64))))))
(/.f64 (-.f64 #s(literal 1/64 binary64) (*.f64 (pow.f64 (log.f64 u1) #s(literal 3 binary64)) #s(literal -1/5832 binary64))) (-.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 (log.f64 u1) #s(literal -1/18 binary64)) #s(literal 3/2 binary64))))
(/.f64 (neg.f64 (+.f64 #s(literal 1/512 binary64) (pow.f64 (*.f64 (log.f64 u1) #s(literal -1/18 binary64)) #s(literal 9/2 binary64)))) (neg.f64 (+.f64 #s(literal 1/64 binary64) (-.f64 (*.f64 (pow.f64 (log.f64 u1) #s(literal 3 binary64)) #s(literal -1/5832 binary64)) (*.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 (log.f64 u1) #s(literal -1/18 binary64)) #s(literal 3/2 binary64)))))))
(/.f64 (neg.f64 (-.f64 #s(literal 1/64 binary64) (*.f64 (pow.f64 (log.f64 u1) #s(literal 3 binary64)) #s(literal -1/5832 binary64)))) (neg.f64 (-.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 (log.f64 u1) #s(literal -1/18 binary64)) #s(literal 3/2 binary64)))))
(/.f64 (-.f64 (*.f64 (pow.f64 (log.f64 u1) #s(literal 3 binary64)) #s(literal -1/5832 binary64)) #s(literal 1/64 binary64)) (+.f64 (pow.f64 (*.f64 (log.f64 u1) #s(literal -1/18 binary64)) #s(literal 3/2 binary64)) #s(literal -1/8 binary64)))
(/.f64 (-.f64 (*.f64 #s(literal 1/64 binary64) (-.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 (log.f64 u1) #s(literal -1/18 binary64)) #s(literal 3/2 binary64)))) (*.f64 (-.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 (log.f64 u1) #s(literal -1/18 binary64)) #s(literal 3/2 binary64))) (*.f64 (pow.f64 (log.f64 u1) #s(literal 3 binary64)) #s(literal -1/5832 binary64)))) (*.f64 (-.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 (log.f64 u1) #s(literal -1/18 binary64)) #s(literal 3/2 binary64))) (-.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 (log.f64 u1) #s(literal -1/18 binary64)) #s(literal 3/2 binary64)))))
(/.f64 (*.f64 (-.f64 #s(literal 1/262144 binary64) (pow.f64 (*.f64 (log.f64 u1) #s(literal -1/18 binary64)) #s(literal 9 binary64))) #s(literal 1 binary64)) (*.f64 (-.f64 #s(literal 1/512 binary64) (pow.f64 (*.f64 (log.f64 u1) #s(literal -1/18 binary64)) #s(literal 9/2 binary64))) (+.f64 #s(literal 1/64 binary64) (-.f64 (*.f64 (pow.f64 (log.f64 u1) #s(literal 3 binary64)) #s(literal -1/5832 binary64)) (*.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 (log.f64 u1) #s(literal -1/18 binary64)) #s(literal 3/2 binary64)))))))
(/.f64 (*.f64 (-.f64 #s(literal 1/262144 binary64) (pow.f64 (*.f64 (log.f64 u1) #s(literal -1/18 binary64)) #s(literal 9 binary64))) #s(literal 1 binary64)) (*.f64 (+.f64 #s(literal 1/4096 binary64) (+.f64 (pow.f64 (*.f64 (log.f64 u1) #s(literal -1/18 binary64)) #s(literal 6 binary64)) (pow.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (log.f64 u1) #s(literal 1/36 binary64))) #s(literal 3 binary64)))) (-.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 (log.f64 u1) #s(literal -1/18 binary64)) #s(literal 3/2 binary64)))))
(/.f64 (*.f64 (-.f64 #s(literal 1/4096 binary64) (pow.f64 (*.f64 (log.f64 u1) #s(literal -1/18 binary64)) #s(literal 6 binary64))) #s(literal 1 binary64)) (*.f64 (+.f64 #s(literal 1/64 binary64) (*.f64 (pow.f64 (log.f64 u1) #s(literal 3 binary64)) #s(literal -1/5832 binary64))) (-.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 (log.f64 u1) #s(literal -1/18 binary64)) #s(literal 3/2 binary64)))))
(/.f64 (*.f64 (+.f64 #s(literal 1/134217728 binary64) (pow.f64 (pow.f64 (*.f64 (log.f64 u1) #s(literal -1/18 binary64)) #s(literal 3/2 binary64)) #s(literal 9 binary64))) #s(literal 1 binary64)) (*.f64 (+.f64 #s(literal 1/262144 binary64) (-.f64 (pow.f64 (*.f64 (log.f64 u1) #s(literal -1/18 binary64)) #s(literal 9 binary64)) (*.f64 #s(literal 1/512 binary64) (pow.f64 (*.f64 (log.f64 u1) #s(literal -1/18 binary64)) #s(literal 9/2 binary64))))) (+.f64 #s(literal 1/64 binary64) (-.f64 (*.f64 (pow.f64 (log.f64 u1) #s(literal 3 binary64)) #s(literal -1/5832 binary64)) (*.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 (log.f64 u1) #s(literal -1/18 binary64)) #s(literal 3/2 binary64)))))))
(pow.f64 (/.f64 (+.f64 #s(literal 1/64 binary64) (-.f64 (*.f64 (pow.f64 (log.f64 u1) #s(literal 3 binary64)) #s(literal -1/5832 binary64)) (*.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 (log.f64 u1) #s(literal -1/18 binary64)) #s(literal 3/2 binary64))))) (+.f64 #s(literal 1/512 binary64) (pow.f64 (*.f64 (log.f64 u1) #s(literal -1/18 binary64)) #s(literal 9/2 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (-.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 (log.f64 u1) #s(literal -1/18 binary64)) #s(literal 3/2 binary64))) (-.f64 #s(literal 1/64 binary64) (*.f64 (pow.f64 (log.f64 u1) #s(literal 3 binary64)) #s(literal -1/5832 binary64)))) #s(literal -1 binary64))
(*.f64 (+.f64 #s(literal 1/512 binary64) (pow.f64 (*.f64 (log.f64 u1) #s(literal -1/18 binary64)) #s(literal 9/2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/64 binary64) (-.f64 (*.f64 (pow.f64 (log.f64 u1) #s(literal 3 binary64)) #s(literal -1/5832 binary64)) (*.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 (log.f64 u1) #s(literal -1/18 binary64)) #s(literal 3/2 binary64)))))))
(*.f64 (-.f64 #s(literal 1/64 binary64) (*.f64 (pow.f64 (log.f64 u1) #s(literal 3 binary64)) #s(literal -1/5832 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 (log.f64 u1) #s(literal -1/18 binary64)) #s(literal 3/2 binary64)))))
(*.f64 (PI.f64) u2)
(*.f64 u2 (PI.f64))
(*.f64 #s(literal 1 binary64) (*.f64 (PI.f64) u2))
(*.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (*.f64 (cbrt.f64 (PI.f64)) u2))
(*.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) u2))
(*.f64 (*.f64 u2 #s(literal 1 binary64)) (PI.f64))
(*.f64 (*.f64 u2 (pow.f64 (PI.f64) #s(literal 2/3 binary64))) (cbrt.f64 (PI.f64)))
(*.f64 (*.f64 u2 (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)))
(exp.f64 (*.f64 (log.f64 (-.f64 #s(literal 0 binary64) (log.f64 u1))) #s(literal 1/2 binary64)))
(sqrt.f64 (-.f64 #s(literal 0 binary64) (log.f64 u1)))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 (pow.f64 (log.f64 u1) #s(literal 2 binary64)) (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 u1) #s(literal 3 binary64))))))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 (log.f64 u1) (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 u1) #s(literal 2 binary64))))))
(/.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 u1) #s(literal 3 binary64)))) (pow.f64 (log.f64 u1) #s(literal 1 binary64)))
(/.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 u1) #s(literal 3 binary64)))) (sqrt.f64 (+.f64 #s(literal 0 binary64) (-.f64 (pow.f64 (log.f64 u1) #s(literal 2 binary64)) (*.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (log.f64 u1)))))))
(/.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 u1) #s(literal 2 binary64)))) (pow.f64 (log.f64 u1) #s(literal 1/2 binary64)))
(/.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 u1) #s(literal 2 binary64)))) (sqrt.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (log.f64 u1)))))
(/.f64 (sqrt.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 u1) #s(literal 3 binary64))))) (sqrt.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 u1) #s(literal 2 binary64)))))
(/.f64 (sqrt.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 u1) #s(literal 2 binary64))))) (sqrt.f64 (-.f64 #s(literal 0 binary64) (log.f64 u1))))
(pow.f64 (-.f64 #s(literal 0 binary64) (log.f64 u1)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (log.f64 u1) #s(literal 2 binary64)) #s(literal 1/4 binary64))
(pow.f64 (pow.f64 (-.f64 #s(literal 0 binary64) (log.f64 u1)) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (exp.f64 (log.f64 (-.f64 #s(literal 0 binary64) (log.f64 u1)))) #s(literal 1/2 binary64))
(*.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 u1) #s(literal 3 binary64)))) (pow.f64 (pow.f64 (log.f64 u1) #s(literal -2 binary64)) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 u1) #s(literal 3 binary64)))) (sqrt.f64 (pow.f64 (log.f64 u1) #s(literal -2 binary64))))
(*.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 u1) #s(literal 2 binary64)))) (pow.f64 (/.f64 #s(literal 1 binary64) (log.f64 u1)) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 u1) #s(literal 2 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (log.f64 u1))))
(*.f64 (pow.f64 (-.f64 #s(literal 0 binary64) (log.f64 u1)) #s(literal 1/4 binary64)) (pow.f64 (-.f64 #s(literal 0 binary64) (log.f64 u1)) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 #s(literal -1 binary64) #s(literal 1/2 binary64)) (pow.f64 (log.f64 u1) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 (log.f64 u1) #s(literal 1/2 binary64)))
(log.f64 u1)
(+.f64 #s(literal 0 binary64) (log.f64 u1))
(+.f64 (log.f64 u1) #s(literal 0 binary64))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 u1) #s(literal 2 binary64))) (-.f64 #s(literal 0 binary64) (log.f64 u1)))
(/.f64 (+.f64 #s(literal 0 binary64) (pow.f64 (log.f64 u1) #s(literal 3 binary64))) (pow.f64 (log.f64 u1) #s(literal 2 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 (sqrt.f64 #s(literal -2 binary64)) (*.f64 (pow.f64 (log.f64 u1) #s(literal 1/2 binary64)) #s(literal -1/6 binary64)))
(*.f64 (*.f64 #s(literal -1/6 binary64) (sqrt.f64 #s(literal -2 binary64))) (pow.f64 (log.f64 u1) #s(literal 1/2 binary64)))
(*.f64 (log.f64 u1) #s(literal 1/36 binary64))
(*.f64 #s(literal 1/36 binary64) (log.f64 u1))
(exp.f64 (*.f64 #s(literal 3/2 binary64) (log.f64 (*.f64 (log.f64 u1) #s(literal -1/18 binary64)))))
(exp.f64 (*.f64 (log.f64 (*.f64 (log.f64 u1) #s(literal -1/18 binary64))) #s(literal 3/2 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 (log.f64 u1) #s(literal -1/18 binary64)) #s(literal 3/4 binary64))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))))) #s(literal 3/2 binary64)) #s(literal 2 binary64)))
(exp.f64 (+.f64 (*.f64 (log.f64 (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))))) #s(literal 3/2 binary64)) (*.f64 (log.f64 (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))))) #s(literal 3/2 binary64))))
(pow.f64 (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)))) #s(literal 3 binary64))
(pow.f64 (*.f64 (log.f64 u1) #s(literal -1/18 binary64)) #s(literal 3/2 binary64))
(pow.f64 (pow.f64 (*.f64 (log.f64 u1) #s(literal -1/18 binary64)) #s(literal 3/4 binary64)) #s(literal 2 binary64))
(pow.f64 (exp.f64 #s(literal 3 binary64)) (log.f64 (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))))))
(*.f64 #s(literal 1/6 binary64) (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))) (*.f64 (log.f64 u1) #s(literal -1/18 binary64))))
(*.f64 (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))) (*.f64 #s(literal 1/6 binary64) (*.f64 (log.f64 u1) #s(literal -1/18 binary64))))
(*.f64 (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)))) (*.f64 (log.f64 u1) #s(literal -1/18 binary64)))
(*.f64 #s(literal 1/216 binary64) (pow.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)) #s(literal 3/2 binary64)))
(*.f64 (pow.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)) #s(literal 3/2 binary64)) #s(literal 1/216 binary64))
(*.f64 (pow.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)) #s(literal 3/2 binary64)) (pow.f64 #s(literal 1/36 binary64) #s(literal 3/2 binary64)))
(*.f64 (pow.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)) #s(literal 3/2 binary64)) (pow.f64 (pow.f64 #s(literal 1/6 binary64) #s(literal 3/2 binary64)) #s(literal 2 binary64)))
(*.f64 (*.f64 (log.f64 u1) #s(literal -1/18 binary64)) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)))))
(*.f64 (pow.f64 (*.f64 (log.f64 u1) #s(literal -1/18 binary64)) #s(literal 3/4 binary64)) (pow.f64 (*.f64 (log.f64 u1) #s(literal -1/18 binary64)) #s(literal 3/4 binary64)))
(*.f64 (pow.f64 #s(literal -2 binary64) #s(literal 3/2 binary64)) (pow.f64 (*.f64 (log.f64 u1) #s(literal 1/36 binary64)) #s(literal 3/2 binary64)))
(*.f64 (pow.f64 #s(literal -2 binary64) #s(literal 3/2 binary64)) (pow.f64 (*.f64 (pow.f64 (log.f64 u1) #s(literal 1/2 binary64)) #s(literal 1/6 binary64)) #s(literal 3 binary64)))
(*.f64 (pow.f64 #s(literal 1/6 binary64) #s(literal 3/2 binary64)) (pow.f64 (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))))) #s(literal 3/2 binary64)))
(*.f64 (pow.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)) #s(literal 3/4 binary64)) (pow.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))))) #s(literal 3/2 binary64)))
(*.f64 (pow.f64 (log.f64 u1) #s(literal 3/2 binary64)) (pow.f64 #s(literal -1/18 binary64) #s(literal 3/2 binary64)))
(*.f64 (*.f64 (*.f64 (log.f64 u1) #s(literal -1/18 binary64)) #s(literal 1/6 binary64)) (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))))
(*.f64 (*.f64 (*.f64 (log.f64 u1) #s(literal -1/18 binary64)) (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)))) #s(literal 1/6 binary64))
(*.f64 (pow.f64 #s(literal -1/18 binary64) #s(literal 3/2 binary64)) (pow.f64 (log.f64 u1) #s(literal 3/2 binary64)))
(*.f64 (pow.f64 (*.f64 (log.f64 u1) #s(literal 1/36 binary64)) #s(literal 3/2 binary64)) (pow.f64 #s(literal -2 binary64) #s(literal 3/2 binary64)))
(*.f64 (pow.f64 #s(literal 1/36 binary64) #s(literal 3/2 binary64)) (pow.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)) #s(literal 3/2 binary64)))
(*.f64 (pow.f64 (*.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -2 binary64))) #s(literal 3 binary64)) (pow.f64 (log.f64 u1) #s(literal 3/2 binary64)))
(*.f64 (pow.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)))) (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)))) #s(literal 3/2 binary64)) (pow.f64 #s(literal 1/6 binary64) #s(literal 3/2 binary64)))
(*.f64 (pow.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)))) #s(literal 1/6 binary64)) #s(literal 3/2 binary64)) (pow.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)) #s(literal 3/4 binary64)))
(*.f64 (pow.f64 (pow.f64 #s(literal 1/6 binary64) #s(literal 3/2 binary64)) #s(literal 2 binary64)) (pow.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)) #s(literal 3/2 binary64)))

simplify378.0ms (3.5%)

Algorithm
1×egg-herbie
Rules
8364×*-lowering-*.f32
8364×*-lowering-*.f64
1930×+-lowering-+.f64
1930×+-lowering-+.f32
1246×/-lowering-/.f32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
03548135
111247589
246747522
087477522
Stop Event
1×iter limit
1×node limit
Counts
408 → 408
Calls
Call 1
Inputs
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (sqrt 2))) (sqrt (log u1)))))
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (sqrt 2))) (sqrt (log u1)))))
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (sqrt 2))) (sqrt (log u1)))))
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (sqrt 2))) (sqrt (log u1)))))
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (pow (sqrt -1) 2) (sqrt 2))) (sqrt (log (/ 1 u1))))))
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (pow (sqrt -1) 2) (sqrt 2))) (sqrt (log (/ 1 u1))))))
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(* (sqrt (log (/ 1 u1))) (pow (sqrt -1) 2))
(* (sqrt (log (/ 1 u1))) (pow (sqrt -1) 2))
(* (sqrt (log (/ 1 u1))) (pow (sqrt -1) 2))
(* (sqrt (log (/ 1 u1))) (pow (sqrt -1) 2))
(* (sqrt -1) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))
(* (sqrt -1) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))
(* (sqrt -1) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))
(* (sqrt -1) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))
(log u1)
(log u1)
(log u1)
(log u1)
(* -1 (log (/ 1 u1)))
(* -1 (log (/ 1 u1)))
(* -1 (log (/ 1 u1)))
(* -1 (log (/ 1 u1)))
(+ (log -1) (* -1 (log (/ -1 u1))))
(+ (log -1) (* -1 (log (/ -1 u1))))
(+ (log -1) (* -1 (log (/ -1 u1))))
(+ (log -1) (* -1 (log (/ -1 u1))))
(* -1/6 (* (sqrt (log u1)) (sqrt -2)))
(* -1/6 (* (sqrt (log u1)) (sqrt -2)))
(* -1/6 (* (sqrt (log u1)) (sqrt -2)))
(* -1/6 (* (sqrt (log u1)) (sqrt -2)))
(* -1/6 (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1))))
(* -1/6 (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1))))
(* -1/6 (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1))))
(* -1/6 (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1))))
(* -1/6 (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))))
(* -1/6 (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))))
(* -1/6 (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))))
(* -1/6 (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))))
(* 1/36 (log u1))
(* 1/36 (log u1))
(* 1/36 (log u1))
(* 1/36 (log u1))
(* -1/36 (log (/ 1 u1)))
(* -1/36 (log (/ 1 u1)))
(* -1/36 (log (/ 1 u1)))
(* -1/36 (log (/ 1 u1)))
(* 1/36 (+ (log -1) (* -1 (log (/ -1 u1)))))
(* 1/36 (+ (log -1) (* -1 (log (/ -1 u1)))))
(* 1/36 (+ (log -1) (* -1 (log (/ -1 u1)))))
(* 1/36 (+ (log -1) (* -1 (log (/ -1 u1)))))
(* 1/216 (* (sqrt (pow (log u1) 3)) (pow (sqrt -2) 3)))
(* 1/216 (* (sqrt (pow (log u1) 3)) (pow (sqrt -2) 3)))
(* 1/216 (* (sqrt (pow (log u1) 3)) (pow (sqrt -2) 3)))
(* 1/216 (* (sqrt (pow (log u1) 3)) (pow (sqrt -2) 3)))
(* 1/216 (* (sqrt (pow (log (/ 1 u1)) 3)) (* (pow (sqrt -2) 3) (sqrt -1))))
(* 1/216 (* (sqrt (pow (log (/ 1 u1)) 3)) (* (pow (sqrt -2) 3) (sqrt -1))))
(* 1/216 (* (sqrt (pow (log (/ 1 u1)) 3)) (* (pow (sqrt -2) 3) (sqrt -1))))
(* 1/216 (* (sqrt (pow (log (/ 1 u1)) 3)) (* (pow (sqrt -2) 3) (sqrt -1))))
(* 1/216 (* (pow (sqrt -2) 3) (sqrt (pow (+ (log -1) (* -1 (log (/ -1 u1)))) 3))))
(* 1/216 (* (pow (sqrt -2) 3) (sqrt (pow (+ (log -1) (* -1 (log (/ -1 u1)))) 3))))
(* 1/216 (* (pow (sqrt -2) 3) (sqrt (pow (+ (log -1) (* -1 (log (/ -1 u1)))) 3))))
(* 1/216 (* (pow (sqrt -2) 3) (sqrt (pow (+ (log -1) (* -1 (log (/ -1 u1)))) 3))))
Outputs
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (sqrt 2))) (sqrt (log u1)))))
(+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 u2 (PI.f64)))) (*.f64 (sqrt.f64 (log.f64 u1)) (*.f64 (*.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal 2 binary64))))))
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (sqrt 2))) (sqrt (log u1)))))
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(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (sqrt 2))) (sqrt (log u1)))))
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(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (sqrt 2))) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))))
(+.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) u1)))) (*.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal 2 binary64))) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 u2 (PI.f64)))))))
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (sqrt 2))) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))))
(+.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) u1)))) (*.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal 2 binary64))) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 u2 (PI.f64)))))))
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (sqrt 2))) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))))
(+.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) u1)))) (*.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal 2 binary64))) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 u2 (PI.f64)))))))
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (sqrt 2))) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))))
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(+ 1/2 (* 1/6 (* (sqrt (log u1)) (* (sqrt -1) (sqrt 2)))))
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(+ 1/2 (+ (* -1/3 (* (* (pow u2 2) (* (pow (PI) 2) (* (sqrt -1) (sqrt 2)))) (sqrt (log u1)))) (* 1/6 (* (sqrt (log u1)) (* (sqrt -1) (sqrt 2))))))
(+.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (log.f64 u1)) (*.f64 (*.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal 2 binary64))))) (*.f64 (sqrt.f64 (log.f64 u1)) (*.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 u2 u2)) (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (PI.f64) (PI.f64))))))
(+ 1/2 (+ (* 1/6 (* (sqrt (log u1)) (* (sqrt -1) (sqrt 2)))) (* (pow u2 2) (+ (* -1/3 (* (* (pow (PI) 2) (* (sqrt -1) (sqrt 2))) (sqrt (log u1)))) (* 1/9 (* (* (pow u2 2) (* (pow (PI) 4) (* (sqrt -1) (sqrt 2)))) (sqrt (log u1))))))))
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(+ 1/2 (+ (* 1/6 (* (sqrt (log u1)) (* (sqrt -1) (sqrt 2)))) (* (pow u2 2) (+ (* -1/3 (* (* (pow (PI) 2) (* (sqrt -1) (sqrt 2))) (sqrt (log u1)))) (* (pow u2 2) (+ (* -2/135 (* (* (pow u2 2) (* (pow (PI) 6) (* (sqrt -1) (sqrt 2)))) (sqrt (log u1)))) (* 1/9 (* (* (pow (PI) 4) (* (sqrt -1) (sqrt 2))) (sqrt (log u1))))))))))
(+.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (log.f64 u1)) (*.f64 (*.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal 2 binary64))))) (*.f64 (*.f64 u2 u2) (+.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (PI.f64) (PI.f64))) (*.f64 (sqrt.f64 (log.f64 u1)) #s(literal -1/3 binary64))) (*.f64 (*.f64 u2 u2) (*.f64 (sqrt.f64 (log.f64 u1)) (+.f64 (*.f64 #s(literal -2/135 binary64) (*.f64 (pow.f64 (PI.f64) #s(literal 6 binary64)) (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 u2 u2)))) (*.f64 (*.f64 #s(literal 1/9 binary64) (pow.f64 (PI.f64) #s(literal 4 binary64))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 2 binary64))))))))))
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (sqrt 2))) (sqrt (log u1)))))
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(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (sqrt 2))) (sqrt (log u1)))))
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(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (sqrt 2))) (sqrt (log u1)))))
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(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (sqrt 2))) (sqrt (log u1)))))
(+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 u2 (PI.f64)))) (*.f64 (sqrt.f64 (log.f64 u1)) (*.f64 (*.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal 2 binary64))))))
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (sqrt 2))) (sqrt (log u1)))))
(+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 u2 (PI.f64)))) (*.f64 (sqrt.f64 (log.f64 u1)) (*.f64 (*.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal 2 binary64))))))
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (sqrt 2))) (sqrt (log u1)))))
(+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 u2 (PI.f64)))) (*.f64 (sqrt.f64 (log.f64 u1)) (*.f64 (*.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal 2 binary64))))))
(* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (sqrt 2))) (sqrt (log u1))))
(*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 u2 (PI.f64)))) (*.f64 (sqrt.f64 (log.f64 u1)) (*.f64 (*.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal 2 binary64)))))
(* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (sqrt 2))) (sqrt (log u1))))
(*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 u2 (PI.f64)))) (*.f64 (sqrt.f64 (log.f64 u1)) (*.f64 (*.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal 2 binary64)))))
(* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (sqrt 2))) (sqrt (log u1))))
(*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 u2 (PI.f64)))) (*.f64 (sqrt.f64 (log.f64 u1)) (*.f64 (*.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal 2 binary64)))))
(* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (sqrt 2))) (sqrt (log u1))))
(*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 u2 (PI.f64)))) (*.f64 (sqrt.f64 (log.f64 u1)) (*.f64 (*.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal 2 binary64)))))
(* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (pow (sqrt -1) 2) (sqrt 2))) (sqrt (log (/ 1 u1)))))
(*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 u2 (PI.f64)))) (*.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (log.f64 u1))) (*.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/6 binary64))))
(* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (pow (sqrt -1) 2) (sqrt 2))) (sqrt (log (/ 1 u1)))))
(*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 u2 (PI.f64)))) (*.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (log.f64 u1))) (*.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/6 binary64))))
(* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (pow (sqrt -1) 2) (sqrt 2))) (sqrt (log (/ 1 u1)))))
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(* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (pow (sqrt -1) 2) (sqrt 2))) (sqrt (log (/ 1 u1)))))
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(* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (sqrt 2))) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))))
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(*.f64 (sqrt.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) u1)))) (*.f64 (sqrt.f64 #s(literal -2 binary64)) #s(literal -1/6 binary64)))
(* -1/6 (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))))
(*.f64 (sqrt.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) u1)))) (*.f64 (sqrt.f64 #s(literal -2 binary64)) #s(literal -1/6 binary64)))
(* -1/6 (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))))
(*.f64 (sqrt.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) u1)))) (*.f64 (sqrt.f64 #s(literal -2 binary64)) #s(literal -1/6 binary64)))
(* -1/6 (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))))
(*.f64 (sqrt.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) u1)))) (*.f64 (sqrt.f64 #s(literal -2 binary64)) #s(literal -1/6 binary64)))
(* 1/36 (log u1))
(*.f64 (log.f64 u1) #s(literal 1/36 binary64))
(* 1/36 (log u1))
(*.f64 (log.f64 u1) #s(literal 1/36 binary64))
(* 1/36 (log u1))
(*.f64 (log.f64 u1) #s(literal 1/36 binary64))
(* 1/36 (log u1))
(*.f64 (log.f64 u1) #s(literal 1/36 binary64))
(* -1/36 (log (/ 1 u1)))
(*.f64 (log.f64 u1) #s(literal 1/36 binary64))
(* -1/36 (log (/ 1 u1)))
(*.f64 (log.f64 u1) #s(literal 1/36 binary64))
(* -1/36 (log (/ 1 u1)))
(*.f64 (log.f64 u1) #s(literal 1/36 binary64))
(* -1/36 (log (/ 1 u1)))
(*.f64 (log.f64 u1) #s(literal 1/36 binary64))
(* 1/36 (+ (log -1) (* -1 (log (/ -1 u1)))))
(*.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) u1))) #s(literal 1/36 binary64))
(* 1/36 (+ (log -1) (* -1 (log (/ -1 u1)))))
(*.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) u1))) #s(literal 1/36 binary64))
(* 1/36 (+ (log -1) (* -1 (log (/ -1 u1)))))
(*.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) u1))) #s(literal 1/36 binary64))
(* 1/36 (+ (log -1) (* -1 (log (/ -1 u1)))))
(*.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) u1))) #s(literal 1/36 binary64))
(* 1/216 (* (sqrt (pow (log u1) 3)) (pow (sqrt -2) 3)))
(*.f64 (sqrt.f64 (pow.f64 (log.f64 u1) #s(literal 3 binary64))) (*.f64 #s(literal -1/108 binary64) (sqrt.f64 #s(literal -2 binary64))))
(* 1/216 (* (sqrt (pow (log u1) 3)) (pow (sqrt -2) 3)))
(*.f64 (sqrt.f64 (pow.f64 (log.f64 u1) #s(literal 3 binary64))) (*.f64 #s(literal -1/108 binary64) (sqrt.f64 #s(literal -2 binary64))))
(* 1/216 (* (sqrt (pow (log u1) 3)) (pow (sqrt -2) 3)))
(*.f64 (sqrt.f64 (pow.f64 (log.f64 u1) #s(literal 3 binary64))) (*.f64 #s(literal -1/108 binary64) (sqrt.f64 #s(literal -2 binary64))))
(* 1/216 (* (sqrt (pow (log u1) 3)) (pow (sqrt -2) 3)))
(*.f64 (sqrt.f64 (pow.f64 (log.f64 u1) #s(literal 3 binary64))) (*.f64 #s(literal -1/108 binary64) (sqrt.f64 #s(literal -2 binary64))))
(* 1/216 (* (sqrt (pow (log (/ 1 u1)) 3)) (* (pow (sqrt -2) 3) (sqrt -1))))
(*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 #s(literal -2 binary64) (sqrt.f64 #s(literal -2 binary64)))) (*.f64 #s(literal 1/216 binary64) (sqrt.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 u1) #s(literal 3 binary64))))))
(* 1/216 (* (sqrt (pow (log (/ 1 u1)) 3)) (* (pow (sqrt -2) 3) (sqrt -1))))
(*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 #s(literal -2 binary64) (sqrt.f64 #s(literal -2 binary64)))) (*.f64 #s(literal 1/216 binary64) (sqrt.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 u1) #s(literal 3 binary64))))))
(* 1/216 (* (sqrt (pow (log (/ 1 u1)) 3)) (* (pow (sqrt -2) 3) (sqrt -1))))
(*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 #s(literal -2 binary64) (sqrt.f64 #s(literal -2 binary64)))) (*.f64 #s(literal 1/216 binary64) (sqrt.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 u1) #s(literal 3 binary64))))))
(* 1/216 (* (sqrt (pow (log (/ 1 u1)) 3)) (* (pow (sqrt -2) 3) (sqrt -1))))
(*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 #s(literal -2 binary64) (sqrt.f64 #s(literal -2 binary64)))) (*.f64 #s(literal 1/216 binary64) (sqrt.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 u1) #s(literal 3 binary64))))))
(* 1/216 (* (pow (sqrt -2) 3) (sqrt (pow (+ (log -1) (* -1 (log (/ -1 u1)))) 3))))
(*.f64 (sqrt.f64 (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) u1))) #s(literal 3 binary64))) (*.f64 #s(literal -1/108 binary64) (sqrt.f64 #s(literal -2 binary64))))
(* 1/216 (* (pow (sqrt -2) 3) (sqrt (pow (+ (log -1) (* -1 (log (/ -1 u1)))) 3))))
(*.f64 (sqrt.f64 (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) u1))) #s(literal 3 binary64))) (*.f64 #s(literal -1/108 binary64) (sqrt.f64 #s(literal -2 binary64))))
(* 1/216 (* (pow (sqrt -2) 3) (sqrt (pow (+ (log -1) (* -1 (log (/ -1 u1)))) 3))))
(*.f64 (sqrt.f64 (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) u1))) #s(literal 3 binary64))) (*.f64 #s(literal -1/108 binary64) (sqrt.f64 #s(literal -2 binary64))))
(* 1/216 (* (pow (sqrt -2) 3) (sqrt (pow (+ (log -1) (* -1 (log (/ -1 u1)))) 3))))
(*.f64 (sqrt.f64 (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) u1))) #s(literal 3 binary64))) (*.f64 #s(literal -1/108 binary64) (sqrt.f64 #s(literal -2 binary64))))

eval250.0ms (2.3%)

Compiler

Compiled 51845 to 3211 computations (93.8% saved)

prune190.0ms (1.7%)

Pruning

15 alts after pruning (13 fresh and 2 done)

PrunedKeptTotal
New1538121550
Fresh15116
Picked325
Done000
Total1556151571
Accuracy
100.0%
Counts
1571 → 15
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.4%
(fma.f64 (*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 u2 (*.f64 #s(literal 2 binary64) (PI.f64))))) (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal 1/2 binary64))
97.9%
(/.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 (log.f64 u1) #s(literal -1/18 binary64))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))))))
98.1%
(/.f64 (+.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 (log.f64 u1) #s(literal -1/18 binary64)) #s(literal 3/2 binary64))) (-.f64 (+.f64 #s(literal 1/4 binary64) (*.f64 (log.f64 u1) #s(literal -1/18 binary64))) (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal 1/12 binary64))))
97.9%
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)))) #s(literal -1/2 binary64)) (+.f64 (*.f64 (log.f64 u1) #s(literal -1/18 binary64)) #s(literal -1/4 binary64))))
✓99.3%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))))))))
99.4%
(+.f64 (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))) (*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 u2 (*.f64 #s(literal 2 binary64) (PI.f64)))))) #s(literal 1/2 binary64))
▶97.8%
(+.f64 (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))) (exp.f64 (log.f64 #s(literal 1/6 binary64)))) #s(literal 1/2 binary64))
98.1%
(+.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 (pow.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)) #s(literal 2 binary64)) #s(literal 1/4 binary64))) #s(literal 1/2 binary64))
97.9%
(+.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 (pow.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)) #s(literal 1/4 binary64)) #s(literal 2 binary64))) #s(literal 1/2 binary64))
▶99.4%
(+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))))) #s(literal 1/2 binary64))
✓98.1%
(+.f64 (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)))) #s(literal 1/2 binary64))
▶97.7%
(+.f64 (*.f64 #s(literal 1/6 binary64) (exp.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)))))) #s(literal 1/2 binary64))
98.0%
(+.f64 (exp.f64 (log.f64 (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)))))) #s(literal 1/2 binary64))
▶99.4%
(+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (-.f64 #s(literal 0 binary64) (log.f64 u1)))) (sqrt.f64 #s(literal 2 binary64))) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))))
▶97.9%
(*.f64 (+.f64 (*.f64 (log.f64 u1) #s(literal -1/18 binary64)) #s(literal -1/4 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)))) #s(literal -1/2 binary64))))
Compiler

Compiled 483 to 417 computations (13.7% saved)

simplify21.0ms (0.2%)

Algorithm
1×egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(*.f64 (log.f64 u1) #s(literal -2 binary64))
✓cost-diff12736
(*.f64 (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))) (exp.f64 (log.f64 #s(literal 1/6 binary64))))
✓cost-diff12736
(+.f64 (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))) (exp.f64 (log.f64 #s(literal 1/6 binary64)))) #s(literal 1/2 binary64))
✓cost-diff12800
(exp.f64 (log.f64 #s(literal 1/6 binary64)))
✓cost-diff0
(log.f64 u1)
✓cost-diff0
(*.f64 (log.f64 u1) #s(literal -1/18 binary64))
✓cost-diff0
(+.f64 (*.f64 (log.f64 u1) #s(literal -1/18 binary64)) #s(literal -1/4 binary64))
✓cost-diff64
(*.f64 (+.f64 (*.f64 (log.f64 u1) #s(literal -1/18 binary64)) #s(literal -1/4 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)))) #s(literal -1/2 binary64))))
✓cost-diff0
(*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))
✓cost-diff0
(cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))
✓cost-diff0
(log.f64 u1)
✓cost-diff0
(*.f64 #s(literal -2 binary64) (log.f64 u1))
✓cost-diff0
(*.f64 #s(literal 1/2 binary64) (log.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))))
✓cost-diff6464
(exp.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)))))
✓cost-diff6464
(*.f64 #s(literal 1/6 binary64) (exp.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))))))
✓cost-diff6464
(+.f64 (*.f64 #s(literal 1/6 binary64) (exp.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)))))) #s(literal 1/2 binary64))
✓cost-diff0
(*.f64 #s(literal 1/6 binary64) (sqrt.f64 (-.f64 #s(literal 0 binary64) (log.f64 u1))))
✓cost-diff0
(*.f64 (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (-.f64 #s(literal 0 binary64) (log.f64 u1)))) (sqrt.f64 #s(literal 2 binary64)))
✓cost-diff0
(*.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (-.f64 #s(literal 0 binary64) (log.f64 u1)))) (sqrt.f64 #s(literal 2 binary64))) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))))
✓cost-diff0
(+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (-.f64 #s(literal 0 binary64) (log.f64 u1)))) (sqrt.f64 #s(literal 2 binary64))) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))))
Rules
232×*-lowering-*.f32
232×*-lowering-*.f64
212×fma-define
152×fma-lowering-fma.f32
152×fma-lowering-fma.f64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
045322
191302
2152293
3243293
4297293
5344293
6441293
7490293
8512293
0512293
Stop Event
1×iter limit
1×saturated
Calls
Call 1
Inputs
(+ 1/2 (* (* (* 1/6 (sqrt (- 0 (log u1)))) (sqrt 2)) (cos (* 2 (* (PI) u2)))))
1/2
(* (* (* 1/6 (sqrt (- 0 (log u1)))) (sqrt 2)) (cos (* 2 (* (PI) u2))))
(* (* 1/6 (sqrt (- 0 (log u1)))) (sqrt 2))
(* 1/6 (sqrt (- 0 (log u1))))
1/6
(sqrt (- 0 (log u1)))
(- 0 (log u1))
0
(log u1)
u1
(sqrt 2)
2
(cos (* 2 (* (PI) u2)))
(* 2 (* (PI) u2))
(* (PI) u2)
(PI)
u2
(+ (* 1/6 (exp (* 1/2 (log (* (log u1) -2))))) 1/2)
(* 1/6 (exp (* 1/2 (log (* (log u1) -2)))))
1/6
(exp (* 1/2 (log (* (log u1) -2))))
(* 1/2 (log (* (log u1) -2)))
1/2
(log (* (log u1) -2))
(* (log u1) -2)
(log u1)
u1
-2
(+ (* 1/6 (* (sqrt (* -2 (log u1))) (cos (* 2 (* (PI) u2))))) 1/2)
(* 1/6 (* (sqrt (* -2 (log u1))) (cos (* 2 (* (PI) u2)))))
1/6
(* (sqrt (* -2 (log u1))) (cos (* 2 (* (PI) u2))))
(sqrt (* -2 (log u1)))
(* -2 (log u1))
-2
(log u1)
u1
(cos (* 2 (* (PI) u2)))
(* 2 (* (PI) u2))
2
(* (PI) u2)
(PI)
u2
1/2
(* (+ (* (log u1) -1/18) -1/4) (/ 1 (+ (* 1/6 (sqrt (* (log u1) -2))) -1/2)))
(+ (* (log u1) -1/18) -1/4)
(* (log u1) -1/18)
(log u1)
u1
-1/18
-1/4
(/ 1 (+ (* 1/6 (sqrt (* (log u1) -2))) -1/2))
1
(+ (* 1/6 (sqrt (* (log u1) -2))) -1/2)
(* 1/6 (sqrt (* (log u1) -2)))
1/6
(sqrt (* (log u1) -2))
(* (log u1) -2)
-2
-1/2
(+ (* (sqrt (* (log u1) -2)) (exp (log 1/6))) 1/2)
(* (sqrt (* (log u1) -2)) (exp (log 1/6)))
(sqrt (* (log u1) -2))
(* (log u1) -2)
(log u1)
u1
-2
(exp (log 1/6))
(log 1/6)
1/6
1/2
Outputs
(+ 1/2 (* (* (* 1/6 (sqrt (- 0 (log u1)))) (sqrt 2)) (cos (* 2 (* (PI) u2)))))
(+.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (log.f64 u1))) (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal 2 binary64))))))
1/2
#s(literal 1/2 binary64)
(* (* (* 1/6 (sqrt (- 0 (log u1)))) (sqrt 2)) (cos (* 2 (* (PI) u2))))
(*.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (log.f64 u1))) (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal 2 binary64)))))
(* (* 1/6 (sqrt (- 0 (log u1)))) (sqrt 2))
(*.f64 #s(literal 1/6 binary64) (*.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (log.f64 u1))) (sqrt.f64 #s(literal 2 binary64))))
(* 1/6 (sqrt (- 0 (log u1))))
(*.f64 #s(literal 1/6 binary64) (sqrt.f64 (-.f64 #s(literal 0 binary64) (log.f64 u1))))
1/6
#s(literal 1/6 binary64)
(sqrt (- 0 (log u1)))
(sqrt.f64 (-.f64 #s(literal 0 binary64) (log.f64 u1)))
(- 0 (log u1))
(-.f64 #s(literal 0 binary64) (log.f64 u1))
0
#s(literal 0 binary64)
(log u1)
(log.f64 u1)
u1
(sqrt 2)
(sqrt.f64 #s(literal 2 binary64))
2
#s(literal 2 binary64)
(cos (* 2 (* (PI) u2)))
(cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))
(* 2 (* (PI) u2))
(*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))
(* (PI) u2)
(*.f64 (PI.f64) u2)
(PI)
(PI.f64)
u2
(+ (* 1/6 (exp (* 1/2 (log (* (log u1) -2))))) 1/2)
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) (pow.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)) #s(literal 1/2 binary64))))
(* 1/6 (exp (* 1/2 (log (* (log u1) -2)))))
(*.f64 #s(literal 1/6 binary64) (pow.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)) #s(literal 1/2 binary64)))
1/6
#s(literal 1/6 binary64)
(exp (* 1/2 (log (* (log u1) -2))))
(pow.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)) #s(literal 1/2 binary64))
(* 1/2 (log (* (log u1) -2)))
(*.f64 #s(literal 1/2 binary64) (log.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))))
1/2
#s(literal 1/2 binary64)
(log (* (log u1) -2))
(log.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)))
(* (log u1) -2)
(*.f64 (log.f64 u1) #s(literal -2 binary64))
(log u1)
(log.f64 u1)
u1
-2
#s(literal -2 binary64)
(+ (* 1/6 (* (sqrt (* -2 (log u1))) (cos (* 2 (* (PI) u2))))) 1/2)
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))) (pow.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)) #s(literal 1/2 binary64)))))
(* 1/6 (* (sqrt (* -2 (log u1))) (cos (* 2 (* (PI) u2)))))
(*.f64 #s(literal 1/6 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))) (pow.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)) #s(literal 1/2 binary64))))
1/6
#s(literal 1/6 binary64)
(* (sqrt (* -2 (log u1))) (cos (* 2 (* (PI) u2))))
(*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))) (pow.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)) #s(literal 1/2 binary64)))
(sqrt (* -2 (log u1)))
(pow.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)) #s(literal 1/2 binary64))
(* -2 (log u1))
(*.f64 (log.f64 u1) #s(literal -2 binary64))
-2
#s(literal -2 binary64)
(log u1)
(log.f64 u1)
u1
(cos (* 2 (* (PI) u2)))
(cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))
(* 2 (* (PI) u2))
(*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))
2
#s(literal 2 binary64)
(* (PI) u2)
(*.f64 (PI.f64) u2)
(PI)
(PI.f64)
u2
1/2
#s(literal 1/2 binary64)
(* (+ (* (log u1) -1/18) -1/4) (/ 1 (+ (* 1/6 (sqrt (* (log u1) -2))) -1/2)))
(/.f64 (+.f64 (*.f64 (log.f64 u1) #s(literal -1/18 binary64)) #s(literal -1/4 binary64)) (+.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)) #s(literal 1/2 binary64))) #s(literal -1/2 binary64)))
(+ (* (log u1) -1/18) -1/4)
(+.f64 (*.f64 (log.f64 u1) #s(literal -1/18 binary64)) #s(literal -1/4 binary64))
(* (log u1) -1/18)
(*.f64 (log.f64 u1) #s(literal -1/18 binary64))
(log u1)
(log.f64 u1)
u1
-1/18
#s(literal -1/18 binary64)
-1/4
#s(literal -1/4 binary64)
(/ 1 (+ (* 1/6 (sqrt (* (log u1) -2))) -1/2))
(/.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)) #s(literal 1/2 binary64))) #s(literal -1/2 binary64)))
1
#s(literal 1 binary64)
(+ (* 1/6 (sqrt (* (log u1) -2))) -1/2)
(+.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)) #s(literal 1/2 binary64))) #s(literal -1/2 binary64))
(* 1/6 (sqrt (* (log u1) -2)))
(*.f64 #s(literal 1/6 binary64) (pow.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)) #s(literal 1/2 binary64)))
1/6
#s(literal 1/6 binary64)
(sqrt (* (log u1) -2))
(pow.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)) #s(literal 1/2 binary64))
(* (log u1) -2)
(*.f64 (log.f64 u1) #s(literal -2 binary64))
-2
#s(literal -2 binary64)
-1/2
#s(literal -1/2 binary64)
(+ (* (sqrt (* (log u1) -2)) (exp (log 1/6))) 1/2)
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) (pow.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)) #s(literal 1/2 binary64))))
(* (sqrt (* (log u1) -2)) (exp (log 1/6)))
(*.f64 #s(literal 1/6 binary64) (pow.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)) #s(literal 1/2 binary64)))
(sqrt (* (log u1) -2))
(pow.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)) #s(literal 1/2 binary64))
(* (log u1) -2)
(*.f64 (log.f64 u1) #s(literal -2 binary64))
(log u1)
(log.f64 u1)
u1
-2
#s(literal -2 binary64)
(exp (log 1/6))
#s(literal 1/6 binary64)
(log 1/6)
(log.f64 #s(literal 1/6 binary64))
1/6
#s(literal 1/6 binary64)
1/2
#s(literal 1/2 binary64)

localize226.0ms (2.1%)

Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
✓accuracy99.9%
(+.f64 (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))) (exp.f64 (log.f64 #s(literal 1/6 binary64)))) #s(literal 1/2 binary64))
✓accuracy99.8%
(sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)))
✓accuracy99.3%
(*.f64 (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))) (exp.f64 (log.f64 #s(literal 1/6 binary64))))
✓accuracy98.4%
(exp.f64 (log.f64 #s(literal 1/6 binary64)))
✓accuracy99.5%
(/.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)))) #s(literal -1/2 binary64)))
✓accuracy99.5%
(*.f64 (+.f64 (*.f64 (log.f64 u1) #s(literal -1/18 binary64)) #s(literal -1/4 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)))) #s(literal -1/2 binary64))))
✓accuracy99.4%
(*.f64 (log.f64 u1) #s(literal -1/18 binary64))
✓accuracy99.3%
(*.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))))
✓accuracy99.9%
(+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))))) #s(literal 1/2 binary64))
✓accuracy99.8%
(sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)))
✓accuracy99.6%
(*.f64 (PI.f64) u2)
✓accuracy99.3%
(*.f64 #s(literal 1/6 binary64) (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))))
✓accuracy99.9%
(+.f64 (*.f64 #s(literal 1/6 binary64) (exp.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)))))) #s(literal 1/2 binary64))
✓accuracy99.9%
(log.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)))
✓accuracy99.3%
(*.f64 #s(literal 1/6 binary64) (exp.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))))))
✓accuracy99.0%
(exp.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)))))
✓accuracy99.7%
(sqrt.f64 (-.f64 #s(literal 0 binary64) (log.f64 u1)))
✓accuracy99.6%
(*.f64 (PI.f64) u2)
✓accuracy99.4%
(*.f64 #s(literal 1/6 binary64) (sqrt.f64 (-.f64 #s(literal 0 binary64) (log.f64 u1))))
✓accuracy99.3%
(*.f64 (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (-.f64 #s(literal 0 binary64) (log.f64 u1)))) (sqrt.f64 #s(literal 2 binary64)))
Results
152.0ms256×0valid
Compiler

Compiled 329 to 46 computations (86% saved)

Precisions
Click to see histograms. Total time spent on operations: 82.0ms
ival-mult: 26.0ms (31.6% of total)
ival-log: 15.0ms (18.3% of total)
...c/correct-round.rkt:119:19: 11.0ms (13.4% of total)
ival-add: 7.0ms (8.5% of total)
ival-sqrt: 7.0ms (8.5% of total)
ival-exp: 5.0ms (6.1% of total)
ival-sub: 4.0ms (4.9% of total)
ival-div: 2.0ms (2.4% of total)
ival-cos: 2.0ms (2.4% of total)
ival-pi: 1.0ms (1.2% of total)
const: 1.0ms (1.2% of total)
backward-pass: 0.0ms (0% of total)

series121.0ms (1.1%)

Counts
28 → 372
Calls
Call 1
Inputs
#<alt (+ 1/2 (* (* (* 1/6 (sqrt (- 0 (log u1)))) (sqrt 2)) (cos (* 2 (* (PI) u2)))))>
#<alt (* (* (* 1/6 (sqrt (- 0 (log u1)))) (sqrt 2)) (cos (* 2 (* (PI) u2))))>
#<alt (* (* 1/6 (sqrt (- 0 (log u1)))) (sqrt 2))>
#<alt (* 1/6 (sqrt (- 0 (log u1))))>
#<alt (+ (* 1/6 (exp (* 1/2 (log (* (log u1) -2))))) 1/2)>
#<alt (* 1/6 (exp (* 1/2 (log (* (log u1) -2)))))>
#<alt (exp (* 1/2 (log (* (log u1) -2))))>
#<alt (* 1/2 (log (* (log u1) -2)))>
#<alt (* -2 (log u1))>
#<alt (log u1)>
#<alt (cos (* 2 (* (PI) u2)))>
#<alt (* 2 (* (PI) u2))>
#<alt (* (+ (* (log u1) -1/18) -1/4) (/ 1 (+ (* 1/6 (sqrt (* (log u1) -2))) -1/2)))>
#<alt (+ (* (log u1) -1/18) -1/4)>
#<alt (* (log u1) -1/18)>
#<alt (exp (log 1/6))>
#<alt (+ (* (sqrt (* (log u1) -2)) (exp (log 1/6))) 1/2)>
#<alt (* (sqrt (* (log u1) -2)) (exp (log 1/6)))>
#<alt (* (log u1) -2)>
#<alt (* (PI) u2)>
#<alt (sqrt (- 0 (log u1)))>
#<alt (log (* (log u1) -2))>
#<alt (* 1/6 (* (sqrt (* -2 (log u1))) (cos (* 2 (* (PI) u2)))))>
#<alt (sqrt (* -2 (log u1)))>
#<alt (+ (* 1/6 (* (sqrt (* -2 (log u1))) (cos (* 2 (* (PI) u2))))) 1/2)>
#<alt (* 1/6 (sqrt (* (log u1) -2)))>
#<alt (/ 1 (+ (* 1/6 (sqrt (* (log u1) -2))) -1/2))>
#<alt (sqrt (* (log u1) -2))>
Outputs
#<alt (+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (sqrt 2))) (sqrt (log u1)))))>
#<alt (+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (sqrt 2))) (sqrt (log u1)))))>
#<alt (+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (sqrt 2))) (sqrt (log u1)))))>
#<alt (+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (sqrt 2))) (sqrt (log u1)))))>
#<alt (+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (pow (sqrt -1) 2) (sqrt 2))) (sqrt (log (/ 1 u1))))))>
#<alt (+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (pow (sqrt -1) 2) (sqrt 2))) (sqrt (log (/ 1 u1))))))>
#<alt (+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (pow (sqrt -1) 2) (sqrt 2))) (sqrt (log (/ 1 u1))))))>
#<alt (+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (pow (sqrt -1) 2) (sqrt 2))) (sqrt (log (/ 1 u1))))))>
#<alt (+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (sqrt 2))) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))))>
#<alt (+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (sqrt 2))) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))))>
#<alt (+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (sqrt 2))) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))))>
#<alt (+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (sqrt 2))) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))))>
#<alt (+ 1/2 (* 1/6 (* (sqrt (log u1)) (* (sqrt -1) (sqrt 2)))))>
#<alt (+ 1/2 (+ (* -1/3 (* (* (pow u2 2) (* (pow (PI) 2) (* (sqrt -1) (sqrt 2)))) (sqrt (log u1)))) (* 1/6 (* (sqrt (log u1)) (* (sqrt -1) (sqrt 2))))))>
#<alt (+ 1/2 (+ (* 1/6 (* (sqrt (log u1)) (* (sqrt -1) (sqrt 2)))) (* (pow u2 2) (+ (* -1/3 (* (* (pow (PI) 2) (* (sqrt -1) (sqrt 2))) (sqrt (log u1)))) (* 1/9 (* (* (pow u2 2) (* (pow (PI) 4) (* (sqrt -1) (sqrt 2)))) (sqrt (log u1))))))))>
#<alt (+ 1/2 (+ (* 1/6 (* (sqrt (log u1)) (* (sqrt -1) (sqrt 2)))) (* (pow u2 2) (+ (* -1/3 (* (* (pow (PI) 2) (* (sqrt -1) (sqrt 2))) (sqrt (log u1)))) (* (pow u2 2) (+ (* -2/135 (* (* (pow u2 2) (* (pow (PI) 6) (* (sqrt -1) (sqrt 2)))) (sqrt (log u1)))) (* 1/9 (* (* (pow (PI) 4) (* (sqrt -1) (sqrt 2))) (sqrt (log u1))))))))))>
#<alt (+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (sqrt 2))) (sqrt (log u1)))))>
#<alt (+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (sqrt 2))) (sqrt (log u1)))))>
#<alt (+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (sqrt 2))) (sqrt (log u1)))))>
#<alt (+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (sqrt 2))) (sqrt (log u1)))))>
#<alt (+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (sqrt 2))) (sqrt (log u1)))))>
#<alt (+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (sqrt 2))) (sqrt (log u1)))))>
#<alt (+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (sqrt 2))) (sqrt (log u1)))))>
#<alt (+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (sqrt 2))) (sqrt (log u1)))))>
#<alt (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (sqrt 2))) (sqrt (log u1))))>
#<alt (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (sqrt 2))) (sqrt (log u1))))>
#<alt (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (sqrt 2))) (sqrt (log u1))))>
#<alt (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (sqrt 2))) (sqrt (log u1))))>
#<alt (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (pow (sqrt -1) 2) (sqrt 2))) (sqrt (log (/ 1 u1)))))>
#<alt (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (pow (sqrt -1) 2) (sqrt 2))) (sqrt (log (/ 1 u1)))))>
#<alt (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (pow (sqrt -1) 2) (sqrt 2))) (sqrt (log (/ 1 u1)))))>
#<alt (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (pow (sqrt -1) 2) (sqrt 2))) (sqrt (log (/ 1 u1)))))>
#<alt (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (sqrt 2))) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))))>
#<alt (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (sqrt 2))) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))))>
#<alt (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (sqrt 2))) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))))>
#<alt (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (sqrt 2))) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))))>
#<alt (* 1/6 (* (sqrt (log u1)) (* (sqrt -1) (sqrt 2))))>
#<alt (+ (* -1/3 (* (* (pow u2 2) (* (pow (PI) 2) (* (sqrt -1) (sqrt 2)))) (sqrt (log u1)))) (* 1/6 (* (sqrt (log u1)) (* (sqrt -1) (sqrt 2)))))>
#<alt (+ (* 1/6 (* (sqrt (log u1)) (* (sqrt -1) (sqrt 2)))) (* (pow u2 2) (+ (* -1/3 (* (* (pow (PI) 2) (* (sqrt -1) (sqrt 2))) (sqrt (log u1)))) (* 1/9 (* (* (pow u2 2) (* (pow (PI) 4) (* (sqrt -1) (sqrt 2)))) (sqrt (log u1)))))))>
#<alt (+ (* 1/6 (* (sqrt (log u1)) (* (sqrt -1) (sqrt 2)))) (* (pow u2 2) (+ (* -1/3 (* (* (pow (PI) 2) (* (sqrt -1) (sqrt 2))) (sqrt (log u1)))) (* (pow u2 2) (+ (* -2/135 (* (* (pow u2 2) (* (pow (PI) 6) (* (sqrt -1) (sqrt 2)))) (sqrt (log u1)))) (* 1/9 (* (* (pow (PI) 4) (* (sqrt -1) (sqrt 2))) (sqrt (log u1)))))))))>
#<alt (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (sqrt 2))) (sqrt (log u1))))>
#<alt (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (sqrt 2))) (sqrt (log u1))))>
#<alt (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (sqrt 2))) (sqrt (log u1))))>
#<alt (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (sqrt 2))) (sqrt (log u1))))>
#<alt (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (sqrt 2))) (sqrt (log u1))))>
#<alt (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (sqrt 2))) (sqrt (log u1))))>
#<alt (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (sqrt 2))) (sqrt (log u1))))>
#<alt (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (sqrt 2))) (sqrt (log u1))))>
#<alt (* 1/6 (* (sqrt (log u1)) (* (sqrt -1) (sqrt 2))))>
#<alt (* 1/6 (* (sqrt (log u1)) (* (sqrt -1) (sqrt 2))))>
#<alt (* 1/6 (* (sqrt (log u1)) (* (sqrt -1) (sqrt 2))))>
#<alt (* 1/6 (* (sqrt (log u1)) (* (sqrt -1) (sqrt 2))))>
#<alt (* 1/6 (* (sqrt (log (/ 1 u1))) (* (pow (sqrt -1) 2) (sqrt 2))))>
#<alt (* 1/6 (* (sqrt (log (/ 1 u1))) (* (pow (sqrt -1) 2) (sqrt 2))))>
#<alt (* 1/6 (* (sqrt (log (/ 1 u1))) (* (pow (sqrt -1) 2) (sqrt 2))))>
#<alt (* 1/6 (* (sqrt (log (/ 1 u1))) (* (pow (sqrt -1) 2) (sqrt 2))))>
#<alt (* 1/6 (* (* (sqrt -1) (sqrt 2)) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))))>
#<alt (* 1/6 (* (* (sqrt -1) (sqrt 2)) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))))>
#<alt (* 1/6 (* (* (sqrt -1) (sqrt 2)) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))))>
#<alt (* 1/6 (* (* (sqrt -1) (sqrt 2)) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))))>
#<alt (* 1/6 (* (sqrt (log u1)) (sqrt -1)))>
#<alt (* 1/6 (* (sqrt (log u1)) (sqrt -1)))>
#<alt (* 1/6 (* (sqrt (log u1)) (sqrt -1)))>
#<alt (* 1/6 (* (sqrt (log u1)) (sqrt -1)))>
#<alt (* 1/6 (* (sqrt (log (/ 1 u1))) (pow (sqrt -1) 2)))>
#<alt (* 1/6 (* (sqrt (log (/ 1 u1))) (pow (sqrt -1) 2)))>
#<alt (* 1/6 (* (sqrt (log (/ 1 u1))) (pow (sqrt -1) 2)))>
#<alt (* 1/6 (* (sqrt (log (/ 1 u1))) (pow (sqrt -1) 2)))>
#<alt (* 1/6 (* (sqrt -1) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))))>
#<alt (* 1/6 (* (sqrt -1) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))))>
#<alt (* 1/6 (* (sqrt -1) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))))>
#<alt (* 1/6 (* (sqrt -1) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))))>
#<alt (+ 1/2 (* 1/6 (* (sqrt (log u1)) (sqrt -2))))>
#<alt (+ 1/2 (* 1/6 (* (sqrt (log u1)) (sqrt -2))))>
#<alt (+ 1/2 (* 1/6 (* (sqrt (log u1)) (sqrt -2))))>
#<alt (+ 1/2 (* 1/6 (* (sqrt (log u1)) (sqrt -2))))>
#<alt (+ 1/2 (* 1/6 (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1)))))>
#<alt (+ 1/2 (* 1/6 (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1)))))>
#<alt (+ 1/2 (* 1/6 (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1)))))>
#<alt (+ 1/2 (* 1/6 (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1)))))>
#<alt (+ 1/2 (* 1/6 (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))))>
#<alt (+ 1/2 (* 1/6 (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))))>
#<alt (+ 1/2 (* 1/6 (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))))>
#<alt (+ 1/2 (* 1/6 (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))))>
#<alt (* 1/6 (* (sqrt (log u1)) (sqrt -2)))>
#<alt (* 1/6 (* (sqrt (log u1)) (sqrt -2)))>
#<alt (* 1/6 (* (sqrt (log u1)) (sqrt -2)))>
#<alt (* 1/6 (* (sqrt (log u1)) (sqrt -2)))>
#<alt (* 1/6 (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1))))>
#<alt (* 1/6 (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1))))>
#<alt (* 1/6 (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1))))>
#<alt (* 1/6 (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1))))>
#<alt (* 1/6 (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))))>
#<alt (* 1/6 (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))))>
#<alt (* 1/6 (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))))>
#<alt (* 1/6 (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))))>
#<alt (* (sqrt (log u1)) (sqrt -2))>
#<alt (* (sqrt (log u1)) (sqrt -2))>
#<alt (* (sqrt (log u1)) (sqrt -2))>
#<alt (* (sqrt (log u1)) (sqrt -2))>
#<alt (* (sqrt (log (/ 1 u1))) (sqrt 2))>
#<alt (* (sqrt (log (/ 1 u1))) (sqrt 2))>
#<alt (* (sqrt (log (/ 1 u1))) (sqrt 2))>
#<alt (* (sqrt (log (/ 1 u1))) (sqrt 2))>
#<alt (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))>
#<alt (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))>
#<alt (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))>
#<alt (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))>
#<alt (* 1/2 (log (* -2 (log u1))))>
#<alt (* 1/2 (log (* -2 (log u1))))>
#<alt (* 1/2 (log (* -2 (log u1))))>
#<alt (* 1/2 (log (* -2 (log u1))))>
#<alt (* 1/2 (log (* 2 (log (/ 1 u1)))))>
#<alt (* 1/2 (log (* 2 (log (/ 1 u1)))))>
#<alt (* 1/2 (log (* 2 (log (/ 1 u1)))))>
#<alt (* 1/2 (log (* 2 (log (/ 1 u1)))))>
#<alt (* 1/2 (log (* -2 (+ (log -1) (* -1 (log (/ -1 u1)))))))>
#<alt (* 1/2 (log (* -2 (+ (log -1) (* -1 (log (/ -1 u1)))))))>
#<alt (* 1/2 (log (* -2 (+ (log -1) (* -1 (log (/ -1 u1)))))))>
#<alt (* 1/2 (log (* -2 (+ (log -1) (* -1 (log (/ -1 u1)))))))>
#<alt (* -2 (log u1))>
#<alt (* -2 (log u1))>
#<alt (* -2 (log u1))>
#<alt (* -2 (log u1))>
#<alt (* 2 (log (/ 1 u1)))>
#<alt (* 2 (log (/ 1 u1)))>
#<alt (* 2 (log (/ 1 u1)))>
#<alt (* 2 (log (/ 1 u1)))>
#<alt (* -2 (+ (log -1) (* -1 (log (/ -1 u1)))))>
#<alt (* -2 (+ (log -1) (* -1 (log (/ -1 u1)))))>
#<alt (* -2 (+ (log -1) (* -1 (log (/ -1 u1)))))>
#<alt (* -2 (+ (log -1) (* -1 (log (/ -1 u1)))))>
#<alt (log u1)>
#<alt (log u1)>
#<alt (log u1)>
#<alt (log u1)>
#<alt (* -1 (log (/ 1 u1)))>
#<alt (* -1 (log (/ 1 u1)))>
#<alt (* -1 (log (/ 1 u1)))>
#<alt (* -1 (log (/ 1 u1)))>
#<alt (+ (log -1) (* -1 (log (/ -1 u1))))>
#<alt (+ (log -1) (* -1 (log (/ -1 u1))))>
#<alt (+ (log -1) (* -1 (log (/ -1 u1))))>
#<alt (+ (log -1) (* -1 (log (/ -1 u1))))>
#<alt 1>
#<alt (+ 1 (* -2 (* (pow u2 2) (pow (PI) 2))))>
#<alt (+ 1 (* (pow u2 2) (+ (* -2 (pow (PI) 2)) (* 2/3 (* (pow u2 2) (pow (PI) 4))))))>
#<alt (+ 1 (* (pow u2 2) (+ (* -2 (pow (PI) 2)) (* (pow u2 2) (+ (* -4/45 (* (pow u2 2) (pow (PI) 6))) (* 2/3 (pow (PI) 4)))))))>
#<alt (cos (* 2 (* u2 (PI))))>
#<alt (cos (* 2 (* u2 (PI))))>
#<alt (cos (* 2 (* u2 (PI))))>
#<alt (cos (* 2 (* u2 (PI))))>
#<alt (cos (* 2 (* u2 (PI))))>
#<alt (cos (* 2 (* u2 (PI))))>
#<alt (cos (* 2 (* u2 (PI))))>
#<alt (cos (* 2 (* u2 (PI))))>
#<alt (* 2 (* u2 (PI)))>
#<alt (* 2 (* u2 (PI)))>
#<alt (* 2 (* u2 (PI)))>
#<alt (* 2 (* u2 (PI)))>
#<alt (* 2 (* u2 (PI)))>
#<alt (* 2 (* u2 (PI)))>
#<alt (* 2 (* u2 (PI)))>
#<alt (* 2 (* u2 (PI)))>
#<alt (* 2 (* u2 (PI)))>
#<alt (* 2 (* u2 (PI)))>
#<alt (* 2 (* u2 (PI)))>
#<alt (* 2 (* u2 (PI)))>
#<alt (/ (- (* -1/18 (log u1)) 1/4) (- (* 1/6 (* (sqrt (log u1)) (sqrt -2))) 1/2))>
#<alt (/ (- (* -1/18 (log u1)) 1/4) (- (* 1/6 (* (sqrt (log u1)) (sqrt -2))) 1/2))>
#<alt (/ (- (* -1/18 (log u1)) 1/4) (- (* 1/6 (* (sqrt (log u1)) (sqrt -2))) 1/2))>
#<alt (/ (- (* -1/18 (log u1)) 1/4) (- (* 1/6 (* (sqrt (log u1)) (sqrt -2))) 1/2))>
#<alt (/ (- (* 1/18 (log (/ 1 u1))) 1/4) (- (* 1/6 (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1)))) 1/2))>
#<alt (/ (- (* 1/18 (log (/ 1 u1))) 1/4) (- (* 1/6 (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1)))) 1/2))>
#<alt (/ (- (* 1/18 (log (/ 1 u1))) 1/4) (- (* 1/6 (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1)))) 1/2))>
#<alt (/ (- (* 1/18 (log (/ 1 u1))) 1/4) (- (* 1/6 (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1)))) 1/2))>
#<alt (/ (- (* -1/18 (+ (log -1) (* -1 (log (/ -1 u1))))) 1/4) (- (* 1/6 (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))) 1/2))>
#<alt (/ (- (* -1/18 (+ (log -1) (* -1 (log (/ -1 u1))))) 1/4) (- (* 1/6 (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))) 1/2))>
#<alt (/ (- (* -1/18 (+ (log -1) (* -1 (log (/ -1 u1))))) 1/4) (- (* 1/6 (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))) 1/2))>
#<alt (/ (- (* -1/18 (+ (log -1) (* -1 (log (/ -1 u1))))) 1/4) (- (* 1/6 (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))) 1/2))>
#<alt (- (* -1/18 (log u1)) 1/4)>
#<alt (- (* -1/18 (log u1)) 1/4)>
#<alt (- (* -1/18 (log u1)) 1/4)>
#<alt (- (* -1/18 (log u1)) 1/4)>
#<alt (- (* 1/18 (log (/ 1 u1))) 1/4)>
#<alt (- (* 1/18 (log (/ 1 u1))) 1/4)>
#<alt (- (* 1/18 (log (/ 1 u1))) 1/4)>
#<alt (- (* 1/18 (log (/ 1 u1))) 1/4)>
#<alt (- (* -1/18 (+ (log -1) (* -1 (log (/ -1 u1))))) 1/4)>
#<alt (- (* -1/18 (+ (log -1) (* -1 (log (/ -1 u1))))) 1/4)>
#<alt (- (* -1/18 (+ (log -1) (* -1 (log (/ -1 u1))))) 1/4)>
#<alt (- (* -1/18 (+ (log -1) (* -1 (log (/ -1 u1))))) 1/4)>
#<alt (* -1/18 (log u1))>
#<alt (* -1/18 (log u1))>
#<alt (* -1/18 (log u1))>
#<alt (* -1/18 (log u1))>
#<alt (* 1/18 (log (/ 1 u1)))>
#<alt (* 1/18 (log (/ 1 u1)))>
#<alt (* 1/18 (log (/ 1 u1)))>
#<alt (* 1/18 (log (/ 1 u1)))>
#<alt (* -1/18 (+ (log -1) (* -1 (log (/ -1 u1)))))>
#<alt (* -1/18 (+ (log -1) (* -1 (log (/ -1 u1)))))>
#<alt (* -1/18 (+ (log -1) (* -1 (log (/ -1 u1)))))>
#<alt (* -1/18 (+ (log -1) (* -1 (log (/ -1 u1)))))>
#<alt (+ 1/2 (* 1/6 (* (sqrt (log u1)) (sqrt -2))))>
#<alt (+ 1/2 (* 1/6 (* (sqrt (log u1)) (sqrt -2))))>
#<alt (+ 1/2 (* 1/6 (* (sqrt (log u1)) (sqrt -2))))>
#<alt (+ 1/2 (* 1/6 (* (sqrt (log u1)) (sqrt -2))))>
#<alt (+ 1/2 (* 1/6 (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1)))))>
#<alt (+ 1/2 (* 1/6 (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1)))))>
#<alt (+ 1/2 (* 1/6 (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1)))))>
#<alt (+ 1/2 (* 1/6 (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1)))))>
#<alt (+ 1/2 (* 1/6 (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))))>
#<alt (+ 1/2 (* 1/6 (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))))>
#<alt (+ 1/2 (* 1/6 (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))))>
#<alt (+ 1/2 (* 1/6 (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))))>
#<alt (* 1/6 (* (sqrt (log u1)) (sqrt -2)))>
#<alt (* 1/6 (* (sqrt (log u1)) (sqrt -2)))>
#<alt (* 1/6 (* (sqrt (log u1)) (sqrt -2)))>
#<alt (* 1/6 (* (sqrt (log u1)) (sqrt -2)))>
#<alt (* 1/6 (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1))))>
#<alt (* 1/6 (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1))))>
#<alt (* 1/6 (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1))))>
#<alt (* 1/6 (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1))))>
#<alt (* 1/6 (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))))>
#<alt (* 1/6 (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))))>
#<alt (* 1/6 (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))))>
#<alt (* 1/6 (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))))>
#<alt (* -2 (log u1))>
#<alt (* -2 (log u1))>
#<alt (* -2 (log u1))>
#<alt (* -2 (log u1))>
#<alt (* 2 (log (/ 1 u1)))>
#<alt (* 2 (log (/ 1 u1)))>
#<alt (* 2 (log (/ 1 u1)))>
#<alt (* 2 (log (/ 1 u1)))>
#<alt (* -2 (+ (log -1) (* -1 (log (/ -1 u1)))))>
#<alt (* -2 (+ (log -1) (* -1 (log (/ -1 u1)))))>
#<alt (* -2 (+ (log -1) (* -1 (log (/ -1 u1)))))>
#<alt (* -2 (+ (log -1) (* -1 (log (/ -1 u1)))))>
#<alt (* u2 (PI))>
#<alt (* u2 (PI))>
#<alt (* u2 (PI))>
#<alt (* u2 (PI))>
#<alt (* u2 (PI))>
#<alt (* u2 (PI))>
#<alt (* u2 (PI))>
#<alt (* u2 (PI))>
#<alt (* u2 (PI))>
#<alt (* u2 (PI))>
#<alt (* u2 (PI))>
#<alt (* u2 (PI))>
#<alt (* (sqrt (log u1)) (sqrt -1))>
#<alt (* (sqrt (log u1)) (sqrt -1))>
#<alt (* (sqrt (log u1)) (sqrt -1))>
#<alt (* (sqrt (log u1)) (sqrt -1))>
#<alt (* (sqrt (log (/ 1 u1))) (pow (sqrt -1) 2))>
#<alt (* (sqrt (log (/ 1 u1))) (pow (sqrt -1) 2))>
#<alt (* (sqrt (log (/ 1 u1))) (pow (sqrt -1) 2))>
#<alt (* (sqrt (log (/ 1 u1))) (pow (sqrt -1) 2))>
#<alt (* (sqrt -1) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))>
#<alt (* (sqrt -1) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))>
#<alt (* (sqrt -1) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))>
#<alt (* (sqrt -1) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))>
#<alt (log (* -2 (log u1)))>
#<alt (log (* -2 (log u1)))>
#<alt (log (* -2 (log u1)))>
#<alt (log (* -2 (log u1)))>
#<alt (log (* 2 (log (/ 1 u1))))>
#<alt (log (* 2 (log (/ 1 u1))))>
#<alt (log (* 2 (log (/ 1 u1))))>
#<alt (log (* 2 (log (/ 1 u1))))>
#<alt (log (* -2 (+ (log -1) (* -1 (log (/ -1 u1))))))>
#<alt (log (* -2 (+ (log -1) (* -1 (log (/ -1 u1))))))>
#<alt (log (* -2 (+ (log -1) (* -1 (log (/ -1 u1))))))>
#<alt (log (* -2 (+ (log -1) (* -1 (log (/ -1 u1))))))>
#<alt (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1))))>
#<alt (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1))))>
#<alt (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1))))>
#<alt (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1))))>
#<alt (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -2) (sqrt -1))) (sqrt (log (/ 1 u1)))))>
#<alt (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -2) (sqrt -1))) (sqrt (log (/ 1 u1)))))>
#<alt (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -2) (sqrt -1))) (sqrt (log (/ 1 u1)))))>
#<alt (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -2) (sqrt -1))) (sqrt (log (/ 1 u1)))))>
#<alt (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))))>
#<alt (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))))>
#<alt (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))))>
#<alt (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))))>
#<alt (* 1/6 (* (sqrt (log u1)) (sqrt -2)))>
#<alt (+ (* -1/3 (* (* (pow u2 2) (* (pow (PI) 2) (sqrt -2))) (sqrt (log u1)))) (* 1/6 (* (sqrt (log u1)) (sqrt -2))))>
#<alt (+ (* 1/6 (* (sqrt (log u1)) (sqrt -2))) (* (pow u2 2) (+ (* -1/3 (* (* (pow (PI) 2) (sqrt -2)) (sqrt (log u1)))) (* 1/9 (* (* (pow u2 2) (* (pow (PI) 4) (sqrt -2))) (sqrt (log u1)))))))>
#<alt (+ (* 1/6 (* (sqrt (log u1)) (sqrt -2))) (* (pow u2 2) (+ (* -1/3 (* (* (pow (PI) 2) (sqrt -2)) (sqrt (log u1)))) (* (pow u2 2) (+ (* -2/135 (* (* (pow u2 2) (* (pow (PI) 6) (sqrt -2))) (sqrt (log u1)))) (* 1/9 (* (* (pow (PI) 4) (sqrt -2)) (sqrt (log u1)))))))))>
#<alt (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1))))>
#<alt (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1))))>
#<alt (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1))))>
#<alt (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1))))>
#<alt (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1))))>
#<alt (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1))))>
#<alt (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1))))>
#<alt (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1))))>
#<alt (* (sqrt (log u1)) (sqrt -2))>
#<alt (* (sqrt (log u1)) (sqrt -2))>
#<alt (* (sqrt (log u1)) (sqrt -2))>
#<alt (* (sqrt (log u1)) (sqrt -2))>
#<alt (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1)))>
#<alt (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1)))>
#<alt (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1)))>
#<alt (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1)))>
#<alt (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))>
#<alt (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))>
#<alt (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))>
#<alt (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))>
#<alt (+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))))>
#<alt (+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))))>
#<alt (+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))))>
#<alt (+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))))>
#<alt (+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -2) (sqrt -1))) (sqrt (log (/ 1 u1))))))>
#<alt (+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -2) (sqrt -1))) (sqrt (log (/ 1 u1))))))>
#<alt (+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -2) (sqrt -1))) (sqrt (log (/ 1 u1))))))>
#<alt (+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -2) (sqrt -1))) (sqrt (log (/ 1 u1))))))>
#<alt (+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))))>
#<alt (+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))))>
#<alt (+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))))>
#<alt (+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))))>
#<alt (+ 1/2 (* 1/6 (* (sqrt (log u1)) (sqrt -2))))>
#<alt (+ 1/2 (+ (* -1/3 (* (* (pow u2 2) (* (pow (PI) 2) (sqrt -2))) (sqrt (log u1)))) (* 1/6 (* (sqrt (log u1)) (sqrt -2)))))>
#<alt (+ 1/2 (+ (* 1/6 (* (sqrt (log u1)) (sqrt -2))) (* (pow u2 2) (+ (* -1/3 (* (* (pow (PI) 2) (sqrt -2)) (sqrt (log u1)))) (* 1/9 (* (* (pow u2 2) (* (pow (PI) 4) (sqrt -2))) (sqrt (log u1))))))))>
#<alt (+ 1/2 (+ (* 1/6 (* (sqrt (log u1)) (sqrt -2))) (* (pow u2 2) (+ (* -1/3 (* (* (pow (PI) 2) (sqrt -2)) (sqrt (log u1)))) (* (pow u2 2) (+ (* -2/135 (* (* (pow u2 2) (* (pow (PI) 6) (sqrt -2))) (sqrt (log u1)))) (* 1/9 (* (* (pow (PI) 4) (sqrt -2)) (sqrt (log u1))))))))))>
#<alt (+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))))>
#<alt (+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))))>
#<alt (+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))))>
#<alt (+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))))>
#<alt (+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))))>
#<alt (+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))))>
#<alt (+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))))>
#<alt (+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))))>
#<alt (* 1/6 (* (sqrt (log u1)) (sqrt -2)))>
#<alt (* 1/6 (* (sqrt (log u1)) (sqrt -2)))>
#<alt (* 1/6 (* (sqrt (log u1)) (sqrt -2)))>
#<alt (* 1/6 (* (sqrt (log u1)) (sqrt -2)))>
#<alt (* 1/6 (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1))))>
#<alt (* 1/6 (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1))))>
#<alt (* 1/6 (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1))))>
#<alt (* 1/6 (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1))))>
#<alt (* 1/6 (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))))>
#<alt (* 1/6 (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))))>
#<alt (* 1/6 (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))))>
#<alt (* 1/6 (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))))>
#<alt (/ 1 (- (* 1/6 (* (sqrt (log u1)) (sqrt -2))) 1/2))>
#<alt (/ 1 (- (* 1/6 (* (sqrt (log u1)) (sqrt -2))) 1/2))>
#<alt (/ 1 (- (* 1/6 (* (sqrt (log u1)) (sqrt -2))) 1/2))>
#<alt (/ 1 (- (* 1/6 (* (sqrt (log u1)) (sqrt -2))) 1/2))>
#<alt (/ 1 (- (* 1/6 (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1)))) 1/2))>
#<alt (/ 1 (- (* 1/6 (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1)))) 1/2))>
#<alt (/ 1 (- (* 1/6 (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1)))) 1/2))>
#<alt (/ 1 (- (* 1/6 (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1)))) 1/2))>
#<alt (/ 1 (- (* 1/6 (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))) 1/2))>
#<alt (/ 1 (- (* 1/6 (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))) 1/2))>
#<alt (/ 1 (- (* 1/6 (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))) 1/2))>
#<alt (/ 1 (- (* 1/6 (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))) 1/2))>
#<alt (* (sqrt (log u1)) (sqrt -2))>
#<alt (* (sqrt (log u1)) (sqrt -2))>
#<alt (* (sqrt (log u1)) (sqrt -2))>
#<alt (* (sqrt (log u1)) (sqrt -2))>
#<alt (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1)))>
#<alt (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1)))>
#<alt (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1)))>
#<alt (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1)))>
#<alt (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))>
#<alt (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))>
#<alt (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))>
#<alt (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))>
Calls

93 calls:

TimeVariablePointExpression
67.0ms
u1
@-inf
(* 1/2 (log (* (log u1) -2)))
20.0ms
u1
@inf
(* 1/2 (log (* (log u1) -2)))
17.0ms
u1
@0
(* 1/2 (log (* (log u1) -2)))
2.0ms
u1
@0
(+ (* (sqrt (* (log u1) -2)) (exp (log 1/6))) 1/2)
1.0ms
u1
@-inf
(* (+ (* (log u1) -1/18) -1/4) (/ 1 (+ (* 1/6 (sqrt (* (log u1) -2))) -1/2)))

rewrite362.0ms (3.3%)

Algorithm
1×batch-egg-rewrite
Rules
3384×*-lowering-*.f32
3384×*-lowering-*.f64
3084×/-lowering-/.f32
3084×/-lowering-/.f64
1606×+-lowering-+.f64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
045227
1223199
21444199
08639199
Stop Event
1×iter limit
1×node limit
Counts
28 → 611
Calls
Call 1
Inputs
(+ 1/2 (* (* (* 1/6 (sqrt (- 0 (log u1)))) (sqrt 2)) (cos (* 2 (* (PI) u2)))))
(* (* (* 1/6 (sqrt (- 0 (log u1)))) (sqrt 2)) (cos (* 2 (* (PI) u2))))
(* (* 1/6 (sqrt (- 0 (log u1)))) (sqrt 2))
(* 1/6 (sqrt (- 0 (log u1))))
(+ (* 1/6 (exp (* 1/2 (log (* (log u1) -2))))) 1/2)
(* 1/6 (exp (* 1/2 (log (* (log u1) -2)))))
(exp (* 1/2 (log (* (log u1) -2))))
(* 1/2 (log (* (log u1) -2)))
(* -2 (log u1))
(log u1)
(cos (* 2 (* (PI) u2)))
(* 2 (* (PI) u2))
(* (+ (* (log u1) -1/18) -1/4) (/ 1 (+ (* 1/6 (sqrt (* (log u1) -2))) -1/2)))
(+ (* (log u1) -1/18) -1/4)
(* (log u1) -1/18)
(exp (log 1/6))
(+ (* (sqrt (* (log u1) -2)) (exp (log 1/6))) 1/2)
(* (sqrt (* (log u1) -2)) (exp (log 1/6)))
(* (log u1) -2)
(* (PI) u2)
(sqrt (- 0 (log u1)))
(log (* (log u1) -2))
(* 1/6 (* (sqrt (* -2 (log u1))) (cos (* 2 (* (PI) u2)))))
(sqrt (* -2 (log u1)))
(+ (* 1/6 (* (sqrt (* -2 (log u1))) (cos (* 2 (* (PI) u2))))) 1/2)
(* 1/6 (sqrt (* (log u1) -2)))
(/ 1 (+ (* 1/6 (sqrt (* (log u1) -2))) -1/2))
(sqrt (* (log u1) -2))
Outputs
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 (sqrt.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) u1)) #s(literal 2 binary64))) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))))))
(+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 (sqrt.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) u1)) #s(literal 2 binary64))) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))))) #s(literal 1/2 binary64))
(+.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 (sqrt.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) u1)) #s(literal 2 binary64))) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))))))) (neg.f64 (/.f64 (*.f64 #s(literal 1/36 binary64) (pow.f64 (*.f64 (sqrt.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) u1)) #s(literal 2 binary64))) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))) #s(literal 2 binary64))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 (sqrt.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) u1)) #s(literal 2 binary64))) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))))))))
(-.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 (sqrt.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) u1)) #s(literal 2 binary64))) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))))))) (/.f64 (*.f64 #s(literal 1/36 binary64) (pow.f64 (*.f64 (sqrt.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) u1)) #s(literal 2 binary64))) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))) #s(literal 2 binary64))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 (sqrt.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) u1)) #s(literal 2 binary64))) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))))))))
(-.f64 (/.f64 (*.f64 #s(literal 1/36 binary64) (pow.f64 (*.f64 (sqrt.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) u1)) #s(literal 2 binary64))) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))) #s(literal 2 binary64))) (+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 (sqrt.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) u1)) #s(literal 2 binary64))) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))))) #s(literal -1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 (sqrt.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) u1)) #s(literal 2 binary64))) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))))) #s(literal -1/2 binary64))))
(fma.f64 #s(literal 1/6 binary64) (*.f64 (sqrt.f64 (log.f64 (/.f64 #s(literal 1 binary64) u1))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))))) #s(literal 1/2 binary64))
(fma.f64 #s(literal 1/6 binary64) (*.f64 (sqrt.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) u1)) #s(literal 2 binary64))) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))) #s(literal 1/2 binary64))
(fma.f64 (sqrt.f64 (log.f64 (/.f64 #s(literal 1 binary64) u1))) (*.f64 #s(literal 1/6 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))))) #s(literal 1/2 binary64))
(fma.f64 (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (log.f64 (/.f64 #s(literal 1 binary64) u1)))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))) #s(literal 1/2 binary64))
(fma.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (log.f64 (/.f64 #s(literal 1 binary64) u1)))) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))) #s(literal 1/2 binary64))
(fma.f64 (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) u1)) #s(literal 2 binary64)))) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))) #s(literal 1/2 binary64))
(fma.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) u1)) #s(literal 2 binary64)))) #s(literal 1/2 binary64))
(fma.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (log.f64 (/.f64 #s(literal 1 binary64) u1)))) #s(literal 1/2 binary64))
(fma.f64 (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))) #s(literal 1/6 binary64)) (sqrt.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) u1)) #s(literal 2 binary64))) #s(literal 1/2 binary64))
(fma.f64 (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (log.f64 (/.f64 #s(literal 1 binary64) u1))))) (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 (sqrt.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) u1)) #s(literal 2 binary64))) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))))))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 (sqrt.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) u1)) #s(literal 2 binary64))) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))))))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 #s(literal 1/36 binary64) (pow.f64 (*.f64 (sqrt.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) u1)) #s(literal 2 binary64))) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))) #s(literal 2 binary64))) (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 (sqrt.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) u1)) #s(literal 2 binary64))) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))))))) (+.f64 #s(literal 1/8 binary64) (*.f64 #s(literal 1/216 binary64) (pow.f64 (*.f64 (sqrt.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) u1)) #s(literal 2 binary64))) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))) #s(literal 3 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 (sqrt.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) u1)) #s(literal 2 binary64))) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))))) #s(literal -1/2 binary64)) (+.f64 (*.f64 #s(literal 1/36 binary64) (pow.f64 (*.f64 (sqrt.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) u1)) #s(literal 2 binary64))) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))) #s(literal 2 binary64))) #s(literal -1/4 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 (sqrt.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) u1)) #s(literal 2 binary64))) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))))))))
(/.f64 (+.f64 #s(literal 1/8 binary64) (*.f64 #s(literal 1/216 binary64) (pow.f64 (*.f64 (sqrt.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) u1)) #s(literal 2 binary64))) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))) #s(literal 3 binary64)))) (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 (sqrt.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) u1)) #s(literal 2 binary64))) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))))) (+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 (sqrt.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) u1)) #s(literal 2 binary64))) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))))) #s(literal -1/2 binary64)))))
(/.f64 (+.f64 #s(literal 1/8 binary64) (*.f64 #s(literal 1/216 binary64) (pow.f64 (*.f64 (sqrt.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) u1)) #s(literal 2 binary64))) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))) #s(literal 3 binary64)))) (+.f64 (*.f64 #s(literal 1/36 binary64) (pow.f64 (*.f64 (sqrt.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) u1)) #s(literal 2 binary64))) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))) #s(literal 2 binary64))) (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 (sqrt.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) u1)) #s(literal 2 binary64))) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))))))))
(/.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/36 binary64) (pow.f64 (*.f64 (sqrt.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) u1)) #s(literal 2 binary64))) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))) #s(literal 2 binary64)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 (sqrt.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) u1)) #s(literal 2 binary64))) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))))))
(/.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1/8 binary64) (*.f64 #s(literal 1/216 binary64) (pow.f64 (*.f64 (sqrt.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) u1)) #s(literal 2 binary64))) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))) #s(literal 3 binary64))))) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 (sqrt.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) u1)) #s(literal 2 binary64))) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))))) (+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 (sqrt.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) u1)) #s(literal 2 binary64))) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))))) #s(literal -1/2 binary64))))))
(/.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1/8 binary64) (*.f64 #s(literal 1/216 binary64) (pow.f64 (*.f64 (sqrt.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) u1)) #s(literal 2 binary64))) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))) #s(literal 3 binary64))))) (neg.f64 (+.f64 (*.f64 #s(literal 1/36 binary64) (pow.f64 (*.f64 (sqrt.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) u1)) #s(literal 2 binary64))) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))) #s(literal 2 binary64))) (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 (sqrt.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) u1)) #s(literal 2 binary64))) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))))))))))
(/.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/36 binary64) (pow.f64 (*.f64 (sqrt.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) u1)) #s(literal 2 binary64))) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))) #s(literal 2 binary64))))) (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 (sqrt.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) u1)) #s(literal 2 binary64))) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))))))))
(/.f64 (+.f64 (*.f64 #s(literal 1/36 binary64) (pow.f64 (*.f64 (sqrt.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) u1)) #s(literal 2 binary64))) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))) #s(literal 2 binary64))) #s(literal -1/4 binary64)) (+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 (sqrt.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) u1)) #s(literal 2 binary64))) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))))) #s(literal -1/2 binary64)))
(/.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 (sqrt.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) u1)) #s(literal 2 binary64))) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))))))) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 (sqrt.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) u1)) #s(literal 2 binary64))) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))))) (*.f64 #s(literal 1/36 binary64) (pow.f64 (*.f64 (sqrt.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) u1)) #s(literal 2 binary64))) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))) #s(literal 2 binary64))))) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 (sqrt.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) u1)) #s(literal 2 binary64))) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 (sqrt.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) u1)) #s(literal 2 binary64))) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))))))))
(/.f64 (*.f64 (+.f64 #s(literal 1/512 binary64) (pow.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 (sqrt.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) u1)) #s(literal 2 binary64))) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))))) #s(literal 9 binary64))) #s(literal 1 binary64)) (*.f64 (+.f64 #s(literal 1/64 binary64) (-.f64 (pow.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 (sqrt.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) u1)) #s(literal 2 binary64))) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))))) #s(literal 6 binary64)) (*.f64 #s(literal 1/8 binary64) (*.f64 #s(literal 1/216 binary64) (pow.f64 (*.f64 (sqrt.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) u1)) #s(literal 2 binary64))) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))) #s(literal 3 binary64)))))) (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 (sqrt.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) u1)) #s(literal 2 binary64))) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))))) (+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 (sqrt.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) u1)) #s(literal 2 binary64))) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))))) #s(literal -1/2 binary64))))))
(/.f64 (*.f64 (-.f64 #s(literal 1/64 binary64) (pow.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 (sqrt.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) u1)) #s(literal 2 binary64))) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))))) #s(literal 6 binary64))) #s(literal 1 binary64)) (*.f64 (-.f64 #s(literal 1/8 binary64) (*.f64 #s(literal 1/216 binary64) (pow.f64 (*.f64 (sqrt.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) u1)) #s(literal 2 binary64))) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))) #s(literal 3 binary64)))) (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 (sqrt.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) u1)) #s(literal 2 binary64))) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))))) (+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 (sqrt.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) u1)) #s(literal 2 binary64))) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))))) #s(literal -1/2 binary64))))))
(/.f64 (*.f64 (-.f64 #s(literal 1/64 binary64) (pow.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 (sqrt.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) u1)) #s(literal 2 binary64))) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))))) #s(literal 6 binary64))) #s(literal 1 binary64)) (*.f64 (+.f64 #s(literal 1/16 binary64) (+.f64 (pow.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 (sqrt.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) u1)) #s(literal 2 binary64))) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))))) #s(literal 4 binary64)) (*.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/36 binary64) (pow.f64 (*.f64 (sqrt.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) u1)) #s(literal 2 binary64))) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))) #s(literal 2 binary64)))))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 (sqrt.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) u1)) #s(literal 2 binary64))) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))))))))
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(pow.f64 (exp.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (log.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal 2 binary64)))) #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))
(pow.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (*.f64 (exp.f64 #s(literal 1/2 binary64)) (exp.f64 #s(literal 1/2 binary64))) (/.f64 (log.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal 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))
(*.f64 (pow.f64 (log.f64 u1) #s(literal 1/2 binary64)) (sqrt.f64 #s(literal -2 binary64)))
(*.f64 (sqrt.f64 #s(literal -2 binary64)) (pow.f64 (log.f64 u1) #s(literal 1/2 binary64)))
(*.f64 (exp.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (log.f64 u1)))) (exp.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 #s(literal -2 binary64)))))
(*.f64 (exp.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 #s(literal -2 binary64)))) (exp.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (log.f64 u1)))))
(*.f64 (exp.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (log.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal 2 binary64)))) (exp.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (log.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal 2 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)))

simplify353.0ms (3.2%)

Algorithm
1×egg-herbie
Rules
3406×*-lowering-*.f32
3406×*-lowering-*.f64
3220×+-lowering-+.f64
3220×+-lowering-+.f32
2156×fma-lowering-fma.f32
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01874753
15494472
219234400
333954354
456284354
576774354
080934354
Stop Event
1×iter limit
1×node limit
Counts
372 → 372
Calls
Call 1
Inputs
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (sqrt 2))) (sqrt (log u1)))))
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (sqrt 2))) (sqrt (log u1)))))
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (sqrt 2))) (sqrt (log u1)))))
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (sqrt 2))) (sqrt (log u1)))))
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (pow (sqrt -1) 2) (sqrt 2))) (sqrt (log (/ 1 u1))))))
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (pow (sqrt -1) 2) (sqrt 2))) (sqrt (log (/ 1 u1))))))
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (pow (sqrt -1) 2) (sqrt 2))) (sqrt (log (/ 1 u1))))))
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (pow (sqrt -1) 2) (sqrt 2))) (sqrt (log (/ 1 u1))))))
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (sqrt 2))) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))))
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (sqrt 2))) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))))
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (sqrt 2))) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))))
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (sqrt 2))) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))))
(+ 1/2 (* 1/6 (* (sqrt (log u1)) (* (sqrt -1) (sqrt 2)))))
(+ 1/2 (+ (* -1/3 (* (* (pow u2 2) (* (pow (PI) 2) (* (sqrt -1) (sqrt 2)))) (sqrt (log u1)))) (* 1/6 (* (sqrt (log u1)) (* (sqrt -1) (sqrt 2))))))
(+ 1/2 (+ (* 1/6 (* (sqrt (log u1)) (* (sqrt -1) (sqrt 2)))) (* (pow u2 2) (+ (* -1/3 (* (* (pow (PI) 2) (* (sqrt -1) (sqrt 2))) (sqrt (log u1)))) (* 1/9 (* (* (pow u2 2) (* (pow (PI) 4) (* (sqrt -1) (sqrt 2)))) (sqrt (log u1))))))))
(+ 1/2 (+ (* 1/6 (* (sqrt (log u1)) (* (sqrt -1) (sqrt 2)))) (* (pow u2 2) (+ (* -1/3 (* (* (pow (PI) 2) (* (sqrt -1) (sqrt 2))) (sqrt (log u1)))) (* (pow u2 2) (+ (* -2/135 (* (* (pow u2 2) (* (pow (PI) 6) (* (sqrt -1) (sqrt 2)))) (sqrt (log u1)))) (* 1/9 (* (* (pow (PI) 4) (* (sqrt -1) (sqrt 2))) (sqrt (log u1))))))))))
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (sqrt 2))) (sqrt (log u1)))))
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (sqrt 2))) (sqrt (log u1)))))
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (sqrt 2))) (sqrt (log u1)))))
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (sqrt 2))) (sqrt (log u1)))))
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (sqrt 2))) (sqrt (log u1)))))
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (sqrt 2))) (sqrt (log u1)))))
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (sqrt 2))) (sqrt (log u1)))))
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (sqrt 2))) (sqrt (log u1)))))
(* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (sqrt 2))) (sqrt (log u1))))
(* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (sqrt 2))) (sqrt (log u1))))
(* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (sqrt 2))) (sqrt (log u1))))
(* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (sqrt 2))) (sqrt (log u1))))
(* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (pow (sqrt -1) 2) (sqrt 2))) (sqrt (log (/ 1 u1)))))
(* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (pow (sqrt -1) 2) (sqrt 2))) (sqrt (log (/ 1 u1)))))
(* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (pow (sqrt -1) 2) (sqrt 2))) (sqrt (log (/ 1 u1)))))
(* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (pow (sqrt -1) 2) (sqrt 2))) (sqrt (log (/ 1 u1)))))
(* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (sqrt 2))) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))))
(* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (sqrt 2))) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))))
(* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (sqrt 2))) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))))
(* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (sqrt 2))) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))))
(* 1/6 (* (sqrt (log u1)) (* (sqrt -1) (sqrt 2))))
(+ (* -1/3 (* (* (pow u2 2) (* (pow (PI) 2) (* (sqrt -1) (sqrt 2)))) (sqrt (log u1)))) (* 1/6 (* (sqrt (log u1)) (* (sqrt -1) (sqrt 2)))))
(+ (* 1/6 (* (sqrt (log u1)) (* (sqrt -1) (sqrt 2)))) (* (pow u2 2) (+ (* -1/3 (* (* (pow (PI) 2) (* (sqrt -1) (sqrt 2))) (sqrt (log u1)))) (* 1/9 (* (* (pow u2 2) (* (pow (PI) 4) (* (sqrt -1) (sqrt 2)))) (sqrt (log u1)))))))
(+ (* 1/6 (* (sqrt (log u1)) (* (sqrt -1) (sqrt 2)))) (* (pow u2 2) (+ (* -1/3 (* (* (pow (PI) 2) (* (sqrt -1) (sqrt 2))) (sqrt (log u1)))) (* (pow u2 2) (+ (* -2/135 (* (* (pow u2 2) (* (pow (PI) 6) (* (sqrt -1) (sqrt 2)))) (sqrt (log u1)))) (* 1/9 (* (* (pow (PI) 4) (* (sqrt -1) (sqrt 2))) (sqrt (log u1)))))))))
(* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (sqrt 2))) (sqrt (log u1))))
(* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (sqrt 2))) (sqrt (log u1))))
(* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (sqrt 2))) (sqrt (log u1))))
(* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (sqrt 2))) (sqrt (log u1))))
(* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (sqrt 2))) (sqrt (log u1))))
(* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (sqrt 2))) (sqrt (log u1))))
(* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (sqrt 2))) (sqrt (log u1))))
(* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (sqrt 2))) (sqrt (log u1))))
(* 1/6 (* (sqrt (log u1)) (* (sqrt -1) (sqrt 2))))
(* 1/6 (* (sqrt (log u1)) (* (sqrt -1) (sqrt 2))))
(* 1/6 (* (sqrt (log u1)) (* (sqrt -1) (sqrt 2))))
(* 1/6 (* (sqrt (log u1)) (* (sqrt -1) (sqrt 2))))
(* 1/6 (* (sqrt (log (/ 1 u1))) (* (pow (sqrt -1) 2) (sqrt 2))))
(* 1/6 (* (sqrt (log (/ 1 u1))) (* (pow (sqrt -1) 2) (sqrt 2))))
(* 1/6 (* (sqrt (log (/ 1 u1))) (* (pow (sqrt -1) 2) (sqrt 2))))
(* 1/6 (* (sqrt (log (/ 1 u1))) (* (pow (sqrt -1) 2) (sqrt 2))))
(* 1/6 (* (* (sqrt -1) (sqrt 2)) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))))
(* 1/6 (* (* (sqrt -1) (sqrt 2)) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))))
(* 1/6 (* (* (sqrt -1) (sqrt 2)) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))))
(* 1/6 (* (* (sqrt -1) (sqrt 2)) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))))
(* 1/6 (* (sqrt (log u1)) (sqrt -1)))
(* 1/6 (* (sqrt (log u1)) (sqrt -1)))
(* 1/6 (* (sqrt (log u1)) (sqrt -1)))
(* 1/6 (* (sqrt (log u1)) (sqrt -1)))
(* 1/6 (* (sqrt (log (/ 1 u1))) (pow (sqrt -1) 2)))
(* 1/6 (* (sqrt (log (/ 1 u1))) (pow (sqrt -1) 2)))
(* 1/6 (* (sqrt (log (/ 1 u1))) (pow (sqrt -1) 2)))
(* 1/6 (* (sqrt (log (/ 1 u1))) (pow (sqrt -1) 2)))
(* 1/6 (* (sqrt -1) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))))
(* 1/6 (* (sqrt -1) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))))
(* 1/6 (* (sqrt -1) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))))
(* 1/6 (* (sqrt -1) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))))
(+ 1/2 (* 1/6 (* (sqrt (log u1)) (sqrt -2))))
(+ 1/2 (* 1/6 (* (sqrt (log u1)) (sqrt -2))))
(+ 1/2 (* 1/6 (* (sqrt (log u1)) (sqrt -2))))
(+ 1/2 (* 1/6 (* (sqrt (log u1)) (sqrt -2))))
(+ 1/2 (* 1/6 (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1)))))
(+ 1/2 (* 1/6 (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1)))))
(+ 1/2 (* 1/6 (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1)))))
(+ 1/2 (* 1/6 (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1)))))
(+ 1/2 (* 1/6 (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))))
(+ 1/2 (* 1/6 (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))))
(+ 1/2 (* 1/6 (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))))
(+ 1/2 (* 1/6 (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))))
(* 1/6 (* (sqrt (log u1)) (sqrt -2)))
(* 1/6 (* (sqrt (log u1)) (sqrt -2)))
(* 1/6 (* (sqrt (log u1)) (sqrt -2)))
(* 1/6 (* (sqrt (log u1)) (sqrt -2)))
(* 1/6 (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1))))
(* 1/6 (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1))))
(* 1/6 (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1))))
(* 1/6 (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1))))
(* 1/6 (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))))
(* 1/6 (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))))
(* 1/6 (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))))
(* 1/6 (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))))
(* (sqrt (log u1)) (sqrt -2))
(* (sqrt (log u1)) (sqrt -2))
(* (sqrt (log u1)) (sqrt -2))
(* (sqrt (log u1)) (sqrt -2))
(* (sqrt (log (/ 1 u1))) (sqrt 2))
(* (sqrt (log (/ 1 u1))) (sqrt 2))
(* (sqrt (log (/ 1 u1))) (sqrt 2))
(* (sqrt (log (/ 1 u1))) (sqrt 2))
(* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))
(* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))
(* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))
(* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))
(* 1/2 (log (* -2 (log u1))))
(* 1/2 (log (* -2 (log u1))))
(* 1/2 (log (* -2 (log u1))))
(* 1/2 (log (* -2 (log u1))))
(* 1/2 (log (* 2 (log (/ 1 u1)))))
(* 1/2 (log (* 2 (log (/ 1 u1)))))
(* 1/2 (log (* 2 (log (/ 1 u1)))))
(* 1/2 (log (* 2 (log (/ 1 u1)))))
(* 1/2 (log (* -2 (+ (log -1) (* -1 (log (/ -1 u1)))))))
(* 1/2 (log (* -2 (+ (log -1) (* -1 (log (/ -1 u1)))))))
(* 1/2 (log (* -2 (+ (log -1) (* -1 (log (/ -1 u1)))))))
(* 1/2 (log (* -2 (+ (log -1) (* -1 (log (/ -1 u1)))))))
(* -2 (log u1))
(* -2 (log u1))
(* -2 (log u1))
(* -2 (log u1))
(* 2 (log (/ 1 u1)))
(* 2 (log (/ 1 u1)))
(* 2 (log (/ 1 u1)))
(* 2 (log (/ 1 u1)))
(* -2 (+ (log -1) (* -1 (log (/ -1 u1)))))
(* -2 (+ (log -1) (* -1 (log (/ -1 u1)))))
(* -2 (+ (log -1) (* -1 (log (/ -1 u1)))))
(* -2 (+ (log -1) (* -1 (log (/ -1 u1)))))
(log u1)
(log u1)
(log u1)
(log u1)
(* -1 (log (/ 1 u1)))
(* -1 (log (/ 1 u1)))
(* -1 (log (/ 1 u1)))
(* -1 (log (/ 1 u1)))
(+ (log -1) (* -1 (log (/ -1 u1))))
(+ (log -1) (* -1 (log (/ -1 u1))))
(+ (log -1) (* -1 (log (/ -1 u1))))
(+ (log -1) (* -1 (log (/ -1 u1))))
1
(+ 1 (* -2 (* (pow u2 2) (pow (PI) 2))))
(+ 1 (* (pow u2 2) (+ (* -2 (pow (PI) 2)) (* 2/3 (* (pow u2 2) (pow (PI) 4))))))
(+ 1 (* (pow u2 2) (+ (* -2 (pow (PI) 2)) (* (pow u2 2) (+ (* -4/45 (* (pow u2 2) (pow (PI) 6))) (* 2/3 (pow (PI) 4)))))))
(cos (* 2 (* u2 (PI))))
(cos (* 2 (* u2 (PI))))
(cos (* 2 (* u2 (PI))))
(cos (* 2 (* u2 (PI))))
(cos (* 2 (* u2 (PI))))
(cos (* 2 (* u2 (PI))))
(cos (* 2 (* u2 (PI))))
(cos (* 2 (* u2 (PI))))
(* 2 (* u2 (PI)))
(* 2 (* u2 (PI)))
(* 2 (* u2 (PI)))
(* 2 (* u2 (PI)))
(* 2 (* u2 (PI)))
(* 2 (* u2 (PI)))
(* 2 (* u2 (PI)))
(* 2 (* u2 (PI)))
(* 2 (* u2 (PI)))
(* 2 (* u2 (PI)))
(* 2 (* u2 (PI)))
(* 2 (* u2 (PI)))
(/ (- (* -1/18 (log u1)) 1/4) (- (* 1/6 (* (sqrt (log u1)) (sqrt -2))) 1/2))
(/ (- (* -1/18 (log u1)) 1/4) (- (* 1/6 (* (sqrt (log u1)) (sqrt -2))) 1/2))
(/ (- (* -1/18 (log u1)) 1/4) (- (* 1/6 (* (sqrt (log u1)) (sqrt -2))) 1/2))
(/ (- (* -1/18 (log u1)) 1/4) (- (* 1/6 (* (sqrt (log u1)) (sqrt -2))) 1/2))
(/ (- (* 1/18 (log (/ 1 u1))) 1/4) (- (* 1/6 (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1)))) 1/2))
(/ (- (* 1/18 (log (/ 1 u1))) 1/4) (- (* 1/6 (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1)))) 1/2))
(/ (- (* 1/18 (log (/ 1 u1))) 1/4) (- (* 1/6 (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1)))) 1/2))
(/ (- (* 1/18 (log (/ 1 u1))) 1/4) (- (* 1/6 (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1)))) 1/2))
(/ (- (* -1/18 (+ (log -1) (* -1 (log (/ -1 u1))))) 1/4) (- (* 1/6 (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))) 1/2))
(/ (- (* -1/18 (+ (log -1) (* -1 (log (/ -1 u1))))) 1/4) (- (* 1/6 (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))) 1/2))
(/ (- (* -1/18 (+ (log -1) (* -1 (log (/ -1 u1))))) 1/4) (- (* 1/6 (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))) 1/2))
(/ (- (* -1/18 (+ (log -1) (* -1 (log (/ -1 u1))))) 1/4) (- (* 1/6 (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))) 1/2))
(- (* -1/18 (log u1)) 1/4)
(- (* -1/18 (log u1)) 1/4)
(- (* -1/18 (log u1)) 1/4)
(- (* -1/18 (log u1)) 1/4)
(- (* 1/18 (log (/ 1 u1))) 1/4)
(- (* 1/18 (log (/ 1 u1))) 1/4)
(- (* 1/18 (log (/ 1 u1))) 1/4)
(- (* 1/18 (log (/ 1 u1))) 1/4)
(- (* -1/18 (+ (log -1) (* -1 (log (/ -1 u1))))) 1/4)
(- (* -1/18 (+ (log -1) (* -1 (log (/ -1 u1))))) 1/4)
(- (* -1/18 (+ (log -1) (* -1 (log (/ -1 u1))))) 1/4)
(- (* -1/18 (+ (log -1) (* -1 (log (/ -1 u1))))) 1/4)
(* -1/18 (log u1))
(* -1/18 (log u1))
(* -1/18 (log u1))
(* -1/18 (log u1))
(* 1/18 (log (/ 1 u1)))
(* 1/18 (log (/ 1 u1)))
(* 1/18 (log (/ 1 u1)))
(* 1/18 (log (/ 1 u1)))
(* -1/18 (+ (log -1) (* -1 (log (/ -1 u1)))))
(* -1/18 (+ (log -1) (* -1 (log (/ -1 u1)))))
(* -1/18 (+ (log -1) (* -1 (log (/ -1 u1)))))
(* -1/18 (+ (log -1) (* -1 (log (/ -1 u1)))))
(+ 1/2 (* 1/6 (* (sqrt (log u1)) (sqrt -2))))
(+ 1/2 (* 1/6 (* (sqrt (log u1)) (sqrt -2))))
(+ 1/2 (* 1/6 (* (sqrt (log u1)) (sqrt -2))))
(+ 1/2 (* 1/6 (* (sqrt (log u1)) (sqrt -2))))
(+ 1/2 (* 1/6 (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1)))))
(+ 1/2 (* 1/6 (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1)))))
(+ 1/2 (* 1/6 (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1)))))
(+ 1/2 (* 1/6 (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1)))))
(+ 1/2 (* 1/6 (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))))
(+ 1/2 (* 1/6 (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))))
(+ 1/2 (* 1/6 (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))))
(+ 1/2 (* 1/6 (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))))
(* 1/6 (* (sqrt (log u1)) (sqrt -2)))
(* 1/6 (* (sqrt (log u1)) (sqrt -2)))
(* 1/6 (* (sqrt (log u1)) (sqrt -2)))
(* 1/6 (* (sqrt (log u1)) (sqrt -2)))
(* 1/6 (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1))))
(* 1/6 (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1))))
(* 1/6 (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1))))
(* 1/6 (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1))))
(* 1/6 (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))))
(* 1/6 (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))))
(* 1/6 (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))))
(* 1/6 (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))))
(* -2 (log u1))
(* -2 (log u1))
(* -2 (log u1))
(* -2 (log u1))
(* 2 (log (/ 1 u1)))
(* 2 (log (/ 1 u1)))
(* 2 (log (/ 1 u1)))
(* 2 (log (/ 1 u1)))
(* -2 (+ (log -1) (* -1 (log (/ -1 u1)))))
(* -2 (+ (log -1) (* -1 (log (/ -1 u1)))))
(* -2 (+ (log -1) (* -1 (log (/ -1 u1)))))
(* -2 (+ (log -1) (* -1 (log (/ -1 u1)))))
(* u2 (PI))
(* u2 (PI))
(* u2 (PI))
(* u2 (PI))
(* u2 (PI))
(* u2 (PI))
(* u2 (PI))
(* u2 (PI))
(* u2 (PI))
(* u2 (PI))
(* u2 (PI))
(* u2 (PI))
(* (sqrt (log u1)) (sqrt -1))
(* (sqrt (log u1)) (sqrt -1))
(* (sqrt (log u1)) (sqrt -1))
(* (sqrt (log u1)) (sqrt -1))
(* (sqrt (log (/ 1 u1))) (pow (sqrt -1) 2))
(* (sqrt (log (/ 1 u1))) (pow (sqrt -1) 2))
(* (sqrt (log (/ 1 u1))) (pow (sqrt -1) 2))
(* (sqrt (log (/ 1 u1))) (pow (sqrt -1) 2))
(* (sqrt -1) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))
(* (sqrt -1) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))
(* (sqrt -1) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))
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Outputs
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eval152.0ms (1.4%)

Compiler

Compiled 33716 to 3053 computations (90.9% saved)

prune181.0ms (1.7%)

Pruning

16 alts after pruning (12 fresh and 4 done)

PrunedKeptTotal
New133071337
Fresh358
Picked235
Done112
Total1336161352
Accuracy
100.0%
Counts
1352 → 16
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.4%
(fma.f64 (*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 u2 (*.f64 #s(literal 2 binary64) (PI.f64))))) (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal 1/2 binary64))
97.9%
(/.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 (log.f64 u1) #s(literal -1/18 binary64))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))))))
98.0%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)))))))
99.4%
(+.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))) (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)))) #s(literal 1/2 binary64))
✓97.8%
(+.f64 (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))) (exp.f64 (log.f64 #s(literal 1/6 binary64)))) #s(literal 1/2 binary64))
98.1%
(+.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 (pow.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)) #s(literal 2 binary64)) #s(literal 1/4 binary64))) #s(literal 1/2 binary64))
97.9%
(+.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 (pow.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)) #s(literal 1/4 binary64)) #s(literal 2 binary64))) #s(literal 1/2 binary64))
99.1%
(+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) (*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) u2) u2))))) #s(literal 1/2 binary64))
98.2%
(+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (-.f64 #s(literal 0 binary64) (log.f64 u1))))) #s(literal 1/2 binary64))
✓98.1%
(+.f64 (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)))) #s(literal 1/2 binary64))
✓97.7%
(+.f64 (*.f64 #s(literal 1/6 binary64) (exp.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)))))) #s(literal 1/2 binary64))
98.0%
(+.f64 (exp.f64 (log.f64 (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)))))) #s(literal 1/2 binary64))
99.2%
(+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (-.f64 #s(literal 0 binary64) (log.f64 u1)))) (sqrt.f64 #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) (*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) u2) u2)))))
98.2%
(+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (-.f64 #s(literal 0 binary64) (log.f64 u1)))) (sqrt.f64 #s(literal 2 binary64))) #s(literal 1 binary64)))
97.8%
(*.f64 (+.f64 (*.f64 (log.f64 u1) #s(literal -1/18 binary64)) #s(literal -1/4 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal -1/4 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))))))))
✓97.9%
(*.f64 (+.f64 (*.f64 (log.f64 u1) #s(literal -1/18 binary64)) #s(literal -1/4 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)))) #s(literal -1/2 binary64))))
Compiler

Compiled 2239 to 531 computations (76.3% saved)

regimes310.0ms (2.8%)

Counts
60 → 1
Calls
Call 1
Inputs
(+.f64 (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)))) #s(literal 1/2 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)))))))
(+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) (*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) u2) u2))))) #s(literal 1/2 binary64))
(+.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (log.f64 u1)) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -2 binary64)))))
(+.f64 (*.f64 #s(literal 1/6 binary64) (exp.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)))))) #s(literal 1/2 binary64))
(+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (-.f64 #s(literal 0 binary64) (log.f64 u1))))) #s(literal 1/2 binary64))
(+.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 (pow.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)) #s(literal 1/4 binary64)) #s(literal 2 binary64))) #s(literal 1/2 binary64))
(+.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 (pow.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)) #s(literal 2 binary64)) #s(literal 1/4 binary64))) #s(literal 1/2 binary64))
(+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 #s(literal 1/6 binary64) (exp.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)))))) #s(literal 1 binary64)))
(+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (-.f64 #s(literal 0 binary64) (log.f64 u1)))) (sqrt.f64 #s(literal 2 binary64))) #s(literal 1 binary64)))
(+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)))))
(+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)))) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))))
(+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))) #s(literal 1/6 binary64)) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)))))
(+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))))) #s(literal 1/2 binary64))
(+.f64 (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))) (*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 u2 (*.f64 #s(literal 2 binary64) (PI.f64)))))) #s(literal 1/2 binary64))
(+.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))) (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)))) #s(literal 1/2 binary64))
(/.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 (log.f64 u1) #s(literal -1/18 binary64))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))))))
(+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 (*.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal 1/4 binary64))) #s(literal 1 binary64)))
(*.f64 (+.f64 (*.f64 (log.f64 u1) #s(literal -1/18 binary64)) #s(literal -1/4 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)))) #s(literal -1/2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)))) #s(literal -1/2 binary64)) (+.f64 (*.f64 (log.f64 u1) #s(literal -1/18 binary64)) #s(literal -1/4 binary64))))
(+.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 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))))))))
(+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (-.f64 #s(literal 0 binary64) (log.f64 u1)))) (sqrt.f64 #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) (*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) u2) u2)))))
(+.f64 (exp.f64 (log.f64 (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)))))) #s(literal 1/2 binary64))
(+.f64 (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))) (exp.f64 (log.f64 #s(literal 1/6 binary64)))) #s(literal 1/2 binary64))
(fma.f64 (*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal 1/2 binary64))
(fma.f64 (*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 u2 (*.f64 #s(literal 2 binary64) (PI.f64))))) (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal 1/2 binary64))
(+.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/4 binary64)) (*.f64 (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/4 binary64)) #s(literal 1/6 binary64))))
(+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 #s(literal 1/6 binary64) (exp.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)))))) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))))
(+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (log.f64 u1))) (sqrt.f64 #s(literal 2 binary64)))) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))))
(+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/4 binary64)) #s(literal 2 binary64))) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))))
(+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 2 binary64)) #s(literal 1/4 binary64))) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))))
(+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (-.f64 #s(literal 0 binary64) (log.f64 u1)))) (sqrt.f64 #s(literal 2 binary64))) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))))
(+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 (*.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal 1/4 binary64))) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))) (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal -1/6 binary64))))) (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 #s(literal 1/36 binary64) (log.f64 u1)) #s(literal -2 binary64))))
(*.f64 (+.f64 (*.f64 (log.f64 u1) #s(literal -1/18 binary64)) #s(literal -1/4 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal -1/4 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))))))))
(+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (log.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))))) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))))
(+.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 (log.f64 (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)))))) #s(literal 1 binary64))))
(/.f64 (+.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 (log.f64 u1) #s(literal -1/18 binary64)) #s(literal 3/2 binary64))) (-.f64 (+.f64 #s(literal 1/4 binary64) (*.f64 (log.f64 u1) #s(literal -1/18 binary64))) (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal 1/12 binary64))))
(+.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/4 binary64)) (*.f64 (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/4 binary64)) (*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))))))
(+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 #s(literal 1/6 binary64) (exp.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)))))) (-.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))))))))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))) (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal -1/6 binary64))))) (-.f64 #s(literal 1/4 binary64) (+.f64 (*.f64 (*.f64 #s(literal 1/36 binary64) (log.f64 u1)) #s(literal -2 binary64)) (*.f64 #s(literal -1/9 binary64) (*.f64 (*.f64 (*.f64 u2 (PI.f64)) (*.f64 u2 (PI.f64))) (*.f64 (log.f64 u1) #s(literal -2 binary64)))))))
(+.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 (cos.f64 (*.f64 (PI.f64) u2)) (sin.f64 (*.f64 (PI.f64) u2))) (*.f64 (-.f64 (cos.f64 (*.f64 (PI.f64) u2)) (sin.f64 (*.f64 (PI.f64) u2))) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)))))))
(/.f64 (+.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)))) #s(literal 3 binary64))) (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)))) (-.f64 (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)))) #s(literal 1/2 binary64)))))
(/.f64 (-.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))))) #s(literal 2 binary64))) (+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))) (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal -1/6 binary64)))))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))) (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal -1/6 binary64))))) (-.f64 #s(literal 1/4 binary64) (*.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)))) #s(literal 2 binary64)) #s(literal 1/36 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))) (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal -1/6 binary64))))) (-.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))))) #s(literal 2 binary64))))
(/.f64 (+.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)))) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)))) #s(literal 2 binary64)) (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))))))))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))) (*.f64 (pow.f64 (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/4 binary64)) #s(literal 2 binary64)) #s(literal -1/6 binary64))))) (-.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))))) #s(literal 2 binary64))))
(/.f64 (+.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))))) #s(literal 3 binary64))) (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))) (-.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))) #s(literal 1/36 binary64)) #s(literal 1/12 binary64)))))
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))) (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal -1/6 binary64))))) #s(literal 1/4 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))) (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal -1/6 binary64))))) (*.f64 #s(literal -1/36 binary64) (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)))) #s(literal 2 binary64)))))
(/.f64 (-.f64 #s(literal 1/16 binary64) (pow.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))))) #s(literal 4 binary64))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))) (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal -1/6 binary64)))) (+.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))))) #s(literal 2 binary64)))))
(/.f64 (*.f64 (-.f64 #s(literal 1/16 binary64) (pow.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))))) #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))) (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal -1/6 binary64)))))) (+.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))))) #s(literal 2 binary64))))
(*.f64 (/.f64 (-.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))))) #s(literal 2 binary64))) (-.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))))) #s(literal 3 binary64)))) (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))) (+.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))) #s(literal 1/36 binary64)) #s(literal 1/12 binary64)))))
(/.f64 (*.f64 (-.f64 #s(literal 1/64 binary64) (pow.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))))) #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))) (-.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))) #s(literal 1/36 binary64)) #s(literal 1/12 binary64)))))) (-.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))))) #s(literal 3 binary64))))
(/.f64 (-.f64 #s(literal 1/64 binary64) (pow.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))))) #s(literal 6 binary64))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))) (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal -1/6 binary64)))) (+.f64 (+.f64 #s(literal 1/16 binary64) (pow.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))))) #s(literal 4 binary64))) (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))) (*.f64 #s(literal 1/12 binary64) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))))) #s(literal 2 binary64)))))
(/.f64 (*.f64 (-.f64 #s(literal 1/64 binary64) (pow.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))))) #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))) (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal -1/6 binary64)))))) (+.f64 (+.f64 #s(literal 1/16 binary64) (pow.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))))) #s(literal 4 binary64))) (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))) (*.f64 #s(literal 1/12 binary64) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))))) #s(literal 2 binary64))))
(*.f64 (/.f64 (+.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))))) #s(literal 3 binary64))) (-.f64 #s(literal 1/16 binary64) (pow.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))) (-.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))) #s(literal 1/36 binary64)) #s(literal 1/12 binary64))) #s(literal 2 binary64)))) (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))) (-.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))) #s(literal 1/36 binary64)) #s(literal 1/12 binary64)))))
(/.f64 (-.f64 (*.f64 (/.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))) (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal -1/6 binary64))))) (/.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))) (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal -1/6 binary64)))))) (*.f64 (/.f64 (pow.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))))) #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))) (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal -1/6 binary64))))) (/.f64 (pow.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))))) #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))) (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal -1/6 binary64))))))) (+.f64 (/.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))) (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal -1/6 binary64))))) (/.f64 (pow.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))))) #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))) (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal -1/6 binary64)))))))
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))) (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal -1/6 binary64))))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))))) #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))) (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal -1/6 binary64))))) #s(literal 3 binary64))) (+.f64 (*.f64 (/.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))) (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal -1/6 binary64))))) (/.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))) (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal -1/6 binary64)))))) (+.f64 (*.f64 (/.f64 (pow.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))))) #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))) (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal -1/6 binary64))))) (/.f64 (pow.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))))) #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))) (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal -1/6 binary64)))))) (*.f64 (/.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))) (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal -1/6 binary64))))) (/.f64 (pow.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))))) #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))) (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal -1/6 binary64)))))))))
Outputs
(+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (log.f64 u1))) (sqrt.f64 #s(literal 2 binary64)))) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))))
Calls

10 calls:

130.0ms
u2
24.0ms
(+.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))
22.0ms
(*.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)))
20.0ms
(log.f64 u1)
20.0ms
(*.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) u2)
Results
AccuracySegmentsBranch
99.4%1u1
99.4%1u2
99.4%1(+.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/2 binary64))) (cos.f64 (*.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) u2))) #s(literal 1/2 binary64))
99.4%1(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/2 binary64))) (cos.f64 (*.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) u2)))
99.4%1(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/2 binary64)))
99.4%1(pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/2 binary64))
99.4%1(*.f64 #s(literal -2 binary64) (log.f64 u1))
99.4%1(log.f64 u1)
99.4%1(cos.f64 (*.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) u2))
99.4%1(*.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) u2)
Compiler

Compiled 91 to 78 computations (14.3% saved)

regimes107.0ms (1%)

Counts
29 → 1
Calls
Call 1
Inputs
(+.f64 (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)))) #s(literal 1/2 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)))))))
(+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) (*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) u2) u2))))) #s(literal 1/2 binary64))
(+.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (log.f64 u1)) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -2 binary64)))))
(+.f64 (*.f64 #s(literal 1/6 binary64) (exp.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)))))) #s(literal 1/2 binary64))
(+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (-.f64 #s(literal 0 binary64) (log.f64 u1))))) #s(literal 1/2 binary64))
(+.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 (pow.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)) #s(literal 1/4 binary64)) #s(literal 2 binary64))) #s(literal 1/2 binary64))
(+.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 (pow.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)) #s(literal 2 binary64)) #s(literal 1/4 binary64))) #s(literal 1/2 binary64))
(+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 #s(literal 1/6 binary64) (exp.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)))))) #s(literal 1 binary64)))
(+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (-.f64 #s(literal 0 binary64) (log.f64 u1)))) (sqrt.f64 #s(literal 2 binary64))) #s(literal 1 binary64)))
(+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)))))
(+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)))) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))))
(+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))) #s(literal 1/6 binary64)) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)))))
(+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))))) #s(literal 1/2 binary64))
(+.f64 (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))) (*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 u2 (*.f64 #s(literal 2 binary64) (PI.f64)))))) #s(literal 1/2 binary64))
(+.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))) (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)))) #s(literal 1/2 binary64))
(/.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 (log.f64 u1) #s(literal -1/18 binary64))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))))))
(+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 (*.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal 1/4 binary64))) #s(literal 1 binary64)))
(*.f64 (+.f64 (*.f64 (log.f64 u1) #s(literal -1/18 binary64)) #s(literal -1/4 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)))) #s(literal -1/2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)))) #s(literal -1/2 binary64)) (+.f64 (*.f64 (log.f64 u1) #s(literal -1/18 binary64)) #s(literal -1/4 binary64))))
(+.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 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))))))))
(+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (-.f64 #s(literal 0 binary64) (log.f64 u1)))) (sqrt.f64 #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) (*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) u2) u2)))))
(+.f64 (exp.f64 (log.f64 (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)))))) #s(literal 1/2 binary64))
(+.f64 (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))) (exp.f64 (log.f64 #s(literal 1/6 binary64)))) #s(literal 1/2 binary64))
(fma.f64 (*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal 1/2 binary64))
(fma.f64 (*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 u2 (*.f64 #s(literal 2 binary64) (PI.f64))))) (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal 1/2 binary64))
(+.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/4 binary64)) (*.f64 (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/4 binary64)) #s(literal 1/6 binary64))))
(+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 #s(literal 1/6 binary64) (exp.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)))))) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))))
Outputs
(+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)))))
Calls

10 calls:

22.0ms
(*.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) u2)
13.0ms
u2
10.0ms
(*.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
(pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/2 binary64))
9.0ms
(log.f64 u1)
Results
AccuracySegmentsBranch
99.4%1u1
99.4%1u2
99.4%1(+.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/2 binary64))) (cos.f64 (*.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) u2))) #s(literal 1/2 binary64))
99.4%1(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/2 binary64))) (cos.f64 (*.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) u2)))
99.4%1(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/2 binary64)))
99.4%1(pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/2 binary64))
99.4%1(*.f64 #s(literal -2 binary64) (log.f64 u1))
99.4%1(log.f64 u1)
99.4%1(cos.f64 (*.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) u2))
99.4%1(*.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) u2)
Compiler

Compiled 91 to 78 computations (14.3% saved)

regimes17.0ms (0.2%)

Counts
10 → 1
Calls
Call 1
Inputs
(+.f64 (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)))) #s(literal 1/2 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)))))))
(+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) (*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) u2) u2))))) #s(literal 1/2 binary64))
(+.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (log.f64 u1)) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -2 binary64)))))
(+.f64 (*.f64 #s(literal 1/6 binary64) (exp.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)))))) #s(literal 1/2 binary64))
(+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (-.f64 #s(literal 0 binary64) (log.f64 u1))))) #s(literal 1/2 binary64))
(+.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 (pow.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)) #s(literal 1/4 binary64)) #s(literal 2 binary64))) #s(literal 1/2 binary64))
(+.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 (pow.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)) #s(literal 2 binary64)) #s(literal 1/4 binary64))) #s(literal 1/2 binary64))
(+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 #s(literal 1/6 binary64) (exp.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)))))) #s(literal 1 binary64)))
(+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (-.f64 #s(literal 0 binary64) (log.f64 u1)))) (sqrt.f64 #s(literal 2 binary64))) #s(literal 1 binary64)))
Outputs
(+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) (*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) u2) u2))))) #s(literal 1/2 binary64))
Calls

4 calls:

5.0ms
u1
4.0ms
(*.f64 #s(literal -2 binary64) (log.f64 u1))
4.0ms
u2
4.0ms
(log.f64 u1)
Results
AccuracySegmentsBranch
99.1%1u1
99.1%1u2
99.1%1(*.f64 #s(literal -2 binary64) (log.f64 u1))
99.1%1(log.f64 u1)
Compiler

Compiled 16 to 12 computations (25% saved)

regimes6.0ms (0.1%)

Accuracy

Total -0.1b remaining (-5.4%)

Threshold costs -0.1b (-5.4%)

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

4 calls:

2.0ms
(*.f64 #s(literal -2 binary64) (log.f64 u1))
2.0ms
(log.f64 u1)
1.0ms
u1
1.0ms
u2
Results
AccuracySegmentsBranch
98.1%1u1
98.1%1u2
98.1%1(*.f64 #s(literal -2 binary64) (log.f64 u1))
98.1%1(log.f64 u1)
Compiler

Compiled 16 to 12 computations (25% saved)

simplify9.0ms (0.1%)

Algorithm
1×egg-herbie
Rules
30×*-commutative_binary64
12×+-commutative_binary64
2×sub0-neg_binary64
2×sub-neg_binary64
2×1-exp_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03564
15964
26264
36364
Stop Event
1×saturated
Calls
Call 1
Inputs
(+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (log.f64 u1))) (sqrt.f64 #s(literal 2 binary64)))) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))))
(+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)))))
(+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) (*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) u2) u2))))) #s(literal 1/2 binary64))
(+.f64 (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)))) #s(literal 1/2 binary64))
Outputs
(+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (log.f64 u1))) (sqrt.f64 #s(literal 2 binary64)))) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))))
(+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)))))
(+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))) (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)))))
(+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) (*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) u2) u2))))) #s(literal 1/2 binary64))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) (*.f64 u2 (*.f64 u2 (*.f64 (PI.f64) (PI.f64)))))))))
(+.f64 (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)))) #s(literal 1/2 binary64))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)))))

soundness2.0s (18%)

Rules
6090×*-lowering-*.f32
6090×*-lowering-*.f64
5942×+-lowering-+.f64
5942×+-lowering-+.f32
5100×*-lowering-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01874753
15494472
219234400
333954354
456284354
576774354
080934354
069717764
1239116433
2770016237
0810716237
01915
13315
24915
35715
05715
01645
16944
240044
3398544
0828644
0811268
12101219
27161195
327301171
435201165
554071165
668371165
769931165
870891165
971591165
1071991165
1172151165
083561165
058406
1326346
02490346
Stop Event
1×fuel
1×iter limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×saturated
1×iter limit
1×node limit
1×iter limit
1×node limit
Compiler

Compiled 247 to 192 computations (22.3% saved)

preprocess45.0ms (0.4%)

Remove

(abs u2)

Compiler

Compiled 344 to 250 computations (27.3% saved)

end0.0ms (0%)

Profiling

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