normal distribution

Time bar (total: 11.4s)

analyze43.0ms (0.4%)

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: 26.0ms
ival-mult: 8.0ms (30.2% of total)
ival-pow: 7.0ms (26.4% of total)
ival-<=: 3.0ms (11.3% of total)
ival-div: 2.0ms (7.6% of total)
ival-log: 2.0ms (7.6% of total)
ival-cos: 2.0ms (7.6% of total)
ival-pi: 1.0ms (3.8% of total)
ival-add: 1.0ms (3.8% of total)
ival-and: 1.0ms (3.8% of total)
const: 1.0ms (3.8% of total)
backward-pass: 0.0ms (0% of total)

sample2.0s (17.6%)

Results
1.6s8256×0valid
Precisions
Click to see histograms. Total time spent on operations: 1.2s
ival-mult: 315.0ms (25.8% of total)
ival-pow: 235.0ms (19.3% of total)
ival-<=: 228.0ms (18.7% of total)
ival-log: 127.0ms (10.4% of total)
ival-div: 81.0ms (6.6% of total)
ival-cos: 71.0ms (5.8% of total)
ival-add: 69.0ms (5.7% of total)
ival-pi: 36.0ms (3% of total)
const: 27.0ms (2.2% of total)
ival-and: 26.0ms (2.1% of total)
backward-pass: 4.0ms (0.3% of total)
Bogosity

preprocess40.0ms (0.3%)

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)

explain204.0ms (1.8%)

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
127.0ms512×0valid
Compiler

Compiled 193 to 56 computations (71% saved)

Precisions
Click to see histograms. Total time spent on operations: 57.0ms
ival-mult: 18.0ms (31.4% of total)
ival-pow: 15.0ms (26.2% of total)
ival-log: 8.0ms (14% of total)
ival-div: 5.0ms (8.7% of total)
ival-cos: 5.0ms (8.7% of total)
ival-add: 3.0ms (5.2% of total)
ival-pi: 2.0ms (3.5% of total)
const: 2.0ms (3.5% of total)
backward-pass: 0.0ms (0% of total)

eval0.0ms (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

localize96.0ms (0.8%)

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)
✓accuracy99.4%
(*.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))))
Results
78.0ms256×0valid
Compiler

Compiled 72 to 17 computations (76.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 28.0ms
ival-mult: 13.0ms (46% of total)
ival-log: 4.0ms (14.2% of total)
...c/correct-round.rkt:119:19: 4.0ms (14.2% of total)
ival-cos: 2.0ms (7.1% of total)
ival-sqrt: 2.0ms (7.1% of total)
ival-pi: 1.0ms (3.5% of total)
ival-add: 1.0ms (3.5% of total)
const: 1.0ms (3.5% of total)
backward-pass: 0.0ms (0% of total)

series83.0ms (0.7%)

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)))))
18.0ms
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)))))

rewrite277.0ms (2.4%)

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
240644
3402644
0844244
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 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))))))
(+.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))))) #s(literal 1/2 binary64))
(+.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))))))) (neg.f64 (/.f64 (pow.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))))) #s(literal 2 binary64)) (-.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))))))))
(-.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))))))) (/.f64 (pow.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))))) #s(literal 2 binary64)) (-.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))))))))
(-.f64 (/.f64 (pow.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))))) #s(literal 2 binary64)) (+.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))))) #s(literal -1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (+.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))))) #s(literal -1/2 binary64))))
(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 (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))))))) (neg.f64 (/.f64 (pow.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))))) #s(literal 2 binary64)) (-.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))))))))
(fma.f64 (*.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) (*.f64 #s(literal -1/36 binary64) (pow.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))) #s(literal 2 binary64))))) (+.f64 #s(literal 1/2 binary64) (*.f64 (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)))))) (neg.f64 (/.f64 (pow.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))))) #s(literal 2 binary64)) (-.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))))))))
(fma.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))))) #s(literal 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 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))))) #s(literal 2 binary64)) (-.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))))))))
(neg.f64 (/.f64 (+.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))))) #s(literal 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) (*.f64 #s(literal -1/36 binary64) (pow.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))) #s(literal 2 binary64)))) (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))))))))
(neg.f64 (/.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))))) #s(literal 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) (*.f64 #s(literal -1/36 binary64) (pow.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))) #s(literal 2 binary64))))) (-.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))))))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))))))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))))))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))))) #s(literal -1/2 binary64)) (+.f64 (pow.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))))) #s(literal 2 binary64)) #s(literal -1/4 binary64))))
(/.f64 (+.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))))) #s(literal 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) (*.f64 #s(literal -1/36 binary64) (pow.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))) #s(literal 2 binary64)))) (-.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))))))
(/.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))))) #s(literal 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) (*.f64 #s(literal -1/36 binary64) (pow.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))) #s(literal 2 binary64))))) (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))))))))
(/.f64 (+.f64 #s(literal 1/512 binary64) (pow.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))))) #s(literal 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 (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 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 (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 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 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))))) #s(literal 3 binary64)))))
(/.f64 (-.f64 #s(literal 1/64 binary64) (pow.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))))) #s(literal 6 binary64))) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))))) (+.f64 #s(literal 1/16 binary64) (+.f64 (pow.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))))) #s(literal 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 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))))) #s(literal 2 binary64)) #s(literal -1/4 binary64)) (+.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))))) #s(literal -1/2 binary64)))
(/.f64 (-.f64 #s(literal 1/16 binary64) (pow.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))))) #s(literal 4 binary64))) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))))) (+.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))))) #s(literal 2 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))))))))
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(*.f64 (*.f64 (*.f64 u2 (pow.f64 (PI.f64) #s(literal 2/3 binary64))) (pow.f64 (sqrt.f64 (PI.f64)) #s(literal 1/3 binary64))) (pow.f64 (sqrt.f64 (PI.f64)) #s(literal 1/3 binary64)))
(*.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)))

simplify367.0ms (3.2%)

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
12101201
27181175
327391151
435331145
554141145
668481145
770031145
870991145
971691145
1072091145
1172251145
083661145
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 (*.f64 (sqrt.f64 #s(literal -2 binary64)) (sqrt.f64 (log.f64 u1))) (+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal -1/3 binary64) (*.f64 u2 (*.f64 u2 (*.f64 (PI.f64) (PI.f64))))))))
(+ 1/2 (+ (* 1/6 (* (sqrt (log u1)) (sqrt -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 (*.f64 (sqrt.f64 #s(literal -2 binary64)) (sqrt.f64 (log.f64 u1))) (+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal -1/3 binary64) (*.f64 u2 (*.f64 u2 (*.f64 (PI.f64) (PI.f64)))))))
(+ (* 1/6 (* (sqrt (log u1)) (sqrt -2))) (* (pow u2 2) (+ (* -1/3 (* (* (pow (PI) 2) (sqrt -2)) (sqrt (log u1)))) (* 1/9 (* (* (pow u2 2) (* (pow (PI) 4) (sqrt -2))) (sqrt (log u1)))))))
(*.f64 (sqrt.f64 (log.f64 u1)) (*.f64 (sqrt.f64 #s(literal -2 binary64)) (+.f64 (*.f64 (*.f64 u2 u2) (+.f64 (*.f64 #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 #s(literal 1/6 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal -2 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (log.f64 (/.f64 #s(literal 1 binary64) u1)))))
(* 1/6 (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1))))
(*.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal -2 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (log.f64 (/.f64 #s(literal 1 binary64) u1)))))
(* 1/6 (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1))))
(*.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal -2 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (log.f64 (/.f64 #s(literal 1 binary64) u1)))))
(* 1/6 (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1))))
(*.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal -2 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (log.f64 (/.f64 #s(literal 1 binary64) u1)))))
(* 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))

eval29.0ms (0.3%)

Compiler

Compiled 6247 to 539 computations (91.4% saved)

prune37.0ms (0.3%)

Pruning

17 alts after pruning (16 fresh and 1 done)

PrunedKeptTotal
New19216208
Fresh000
Picked011
Done000
Total19217209
Accuracy
100.0%
Counts
209 → 17
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))
99.3%
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))))))) #s(literal -1 binary64))
99.2%
(/.f64 (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal -1/36 binary64) (pow.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))) #s(literal 2 binary64)))) (-.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))))))
99.1%
(/.f64 (*.f64 (-.f64 #s(literal 1/16 binary64) (pow.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))))) #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))))))) (+.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))))) #s(literal 2 binary64))))
99.2%
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))))) #s(literal -1/2 binary64)) (+.f64 (pow.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))))) #s(literal 2 binary64)) #s(literal -1/4 binary64))))
99.3%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))))))))
▶99.4%
(+.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))))) #s(literal 1/2 binary64))
99.1%
(+.f64 #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)))))))
▶99.4%
(+.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)))))))
▶99.1%
(+.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)))))
✓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)))))
99.0%
(+.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)))))
▶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)))))
98.7%
(*.f64 (/.f64 (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal -1/36 binary64) (pow.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))) #s(literal 2 binary64)))) (-.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))))) #s(literal 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 #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 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))))) #s(literal 3 binary64))))
99.2%
(*.f64 (+.f64 (pow.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))))) #s(literal 2 binary64)) #s(literal -1/4 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))))) #s(literal -1/2 binary64))))
Compiler

Compiled 1042 to 668 computations (35.9% saved)

simplify528.0ms (4.6%)

Algorithm
1×egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
✓cost-diff6400
(*.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 1/4 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 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 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))))) #s(literal 3 binary64))))
✓cost-diff0
(cos.f64 (*.f64 (PI.f64) u2))
✓cost-diff0
(+.f64 (cos.f64 (*.f64 (PI.f64) u2)) (sin.f64 (*.f64 (PI.f64) u2)))
✓cost-diff0
(*.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))))))
✓cost-diff0
(+.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)))))))
✓cost-diff6528
(pow.f64 (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/4 binary64)) #s(literal 2 binary64))
✓cost-diff6528
(*.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)))
✓cost-diff6528
(*.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))))
✓cost-diff6528
(+.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)))))
✓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-diff0
(*.f64 #s(literal -2 binary64) (log.f64 u1))
✓cost-diff0
(sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)))
✓cost-diff0
(*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))))
✓cost-diff0
(+.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))))) #s(literal 1/2 binary64))
Rules
3196×*-lowering-*.f32
3196×*-lowering-*.f64
2680×+-lowering-+.f64
2680×+-lowering-+.f32
1832×fma-define
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
049582
1114572
2317570
31263568
43109564
57926564
08034564
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(+ (* (sqrt (* -2 (log u1))) (* 1/6 (cos (* 2 (* (PI) u2))))) 1/2)
(* (sqrt (* -2 (log u1))) (* 1/6 (cos (* 2 (* (PI) u2)))))
(sqrt (* -2 (log u1)))
(* -2 (log u1))
-2
(log u1)
u1
(* 1/6 (cos (* 2 (* (PI) u2))))
1/6
(cos (* 2 (* (PI) u2)))
(* 2 (* (PI) u2))
2
(* (PI) u2)
(PI)
u2
1/2
(+ 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 (pow (pow (* -2 (log u1)) 1/4) 2)) (cos (* 2 (* (PI) u2)))))
1/2
(* (* 1/6 (pow (pow (* -2 (log u1)) 1/4) 2)) (cos (* 2 (* (PI) u2))))
(* 1/6 (pow (pow (* -2 (log u1)) 1/4) 2))
1/6
(pow (pow (* -2 (log u1)) 1/4) 2)
(pow (* -2 (log u1)) 1/4)
(* -2 (log u1))
-2
(log u1)
u1
1/4
2
(cos (* 2 (* (PI) u2)))
(* 2 (* (PI) u2))
(* (PI) u2)
(PI)
u2
(+ 1/2 (* (+ (cos (* (PI) u2)) (sin (* (PI) u2))) (* (- (cos (* (PI) u2)) (sin (* (PI) u2))) (* 1/6 (sqrt (* -2 (log u1)))))))
1/2
(* (+ (cos (* (PI) u2)) (sin (* (PI) u2))) (* (- (cos (* (PI) u2)) (sin (* (PI) u2))) (* 1/6 (sqrt (* -2 (log u1))))))
(+ (cos (* (PI) u2)) (sin (* (PI) u2)))
(cos (* (PI) u2))
(* (PI) u2)
(PI)
u2
(sin (* (PI) u2))
(* (- (cos (* (PI) u2)) (sin (* (PI) u2))) (* 1/6 (sqrt (* -2 (log u1)))))
(- (cos (* (PI) u2)) (sin (* (PI) u2)))
(* 1/6 (sqrt (* -2 (log u1))))
1/6
(sqrt (* -2 (log u1)))
(* -2 (log u1))
-2
(log u1)
u1
(* (/ 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 (* (sqrt (* -2 (log u1))) (* 1/6 (cos (* 2 (* (PI) u2))))) 3)))
(/ 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))))
(sqrt (* -2 (log u1)))
(* -2 (log u1))
-2
(log u1)
u1
(cos (* 2 (* (PI) u2)))
(* 2 (* (PI) u2))
2
(* (PI) u2)
(PI)
u2
(- (* (* (sqrt (* -2 (log u1))) (cos (* 2 (* (PI) u2)))) 1/36) 1/12)
(* (* (sqrt (* -2 (log u1))) (cos (* 2 (* (PI) u2)))) 1/36)
1/36
1/12
(+ 1/8 (pow (* (sqrt (* -2 (log u1))) (* 1/6 (cos (* 2 (* (PI) u2))))) 3))
1/8
(pow (* (sqrt (* -2 (log u1))) (* 1/6 (cos (* 2 (* (PI) u2))))) 3)
(* (sqrt (* -2 (log u1))) (* 1/6 (cos (* 2 (* (PI) u2)))))
(* 1/6 (cos (* 2 (* (PI) u2))))
1/6
3
Outputs
(+ (* (sqrt (* -2 (log u1))) (* 1/6 (cos (* 2 (* (PI) u2))))) 1/2)
(+.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))))) #s(literal 1/2 binary64))
(* (sqrt (* -2 (log u1))) (* 1/6 (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)))))
(sqrt (* -2 (log u1)))
(sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)))
(* -2 (log u1))
(*.f64 #s(literal -2 binary64) (log.f64 u1))
-2
#s(literal -2 binary64)
(log u1)
(log.f64 u1)
u1
(* 1/6 (cos (* 2 (* (PI) u2))))
(*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))))
1/6
#s(literal 1/6 binary64)
(cos (* 2 (* (PI) u2)))
(cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))
(* 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)
(+ 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 (pow (pow (* -2 (log u1)) 1/4) 2)) (cos (* 2 (* (PI) u2)))))
(+.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))))) #s(literal 1/2 binary64))
1/2
#s(literal 1/2 binary64)
(* (* 1/6 (pow (pow (* -2 (log u1)) 1/4) 2)) (cos (* 2 (* (PI) u2))))
(*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))))
(* 1/6 (pow (pow (* -2 (log u1)) 1/4) 2))
(*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal 1/6 binary64))
1/6
#s(literal 1/6 binary64)
(pow (pow (* -2 (log u1)) 1/4) 2)
(sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)))
(pow (* -2 (log u1)) 1/4)
(pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/4 binary64))
(* -2 (log u1))
(*.f64 #s(literal -2 binary64) (log.f64 u1))
-2
#s(literal -2 binary64)
(log u1)
(log.f64 u1)
u1
1/4
#s(literal 1/4 binary64)
2
#s(literal 2 binary64)
(cos (* 2 (* (PI) u2)))
(cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))
(* 2 (* (PI) u2))
(*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))
(* (PI) u2)
(*.f64 (PI.f64) u2)
(PI)
(PI.f64)
u2
(+ 1/2 (* (+ (cos (* (PI) u2)) (sin (* (PI) u2))) (* (- (cos (* (PI) u2)) (sin (* (PI) u2))) (* 1/6 (sqrt (* -2 (log u1)))))))
(+.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 (cos.f64 (*.f64 (PI.f64) u2)) (sin.f64 (*.f64 (PI.f64) u2))) (*.f64 #s(literal 1/6 binary64) (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (-.f64 (cos.f64 (*.f64 (PI.f64) u2)) (sin.f64 (*.f64 (PI.f64) u2)))))))
1/2
#s(literal 1/2 binary64)
(* (+ (cos (* (PI) u2)) (sin (* (PI) u2))) (* (- (cos (* (PI) u2)) (sin (* (PI) u2))) (* 1/6 (sqrt (* -2 (log u1))))))
(*.f64 (+.f64 (cos.f64 (*.f64 (PI.f64) u2)) (sin.f64 (*.f64 (PI.f64) u2))) (*.f64 #s(literal 1/6 binary64) (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (-.f64 (cos.f64 (*.f64 (PI.f64) u2)) (sin.f64 (*.f64 (PI.f64) u2))))))
(+ (cos (* (PI) u2)) (sin (* (PI) u2)))
(+.f64 (cos.f64 (*.f64 (PI.f64) u2)) (sin.f64 (*.f64 (PI.f64) u2)))
(cos (* (PI) u2))
(cos.f64 (*.f64 (PI.f64) u2))
(* (PI) u2)
(*.f64 (PI.f64) u2)
(PI)
(PI.f64)
u2
(sin (* (PI) u2))
(sin.f64 (*.f64 (PI.f64) u2))
(* (- (cos (* (PI) u2)) (sin (* (PI) u2))) (* 1/6 (sqrt (* -2 (log u1)))))
(*.f64 #s(literal 1/6 binary64) (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (-.f64 (cos.f64 (*.f64 (PI.f64) u2)) (sin.f64 (*.f64 (PI.f64) u2)))))
(- (cos (* (PI) u2)) (sin (* (PI) u2)))
(-.f64 (cos.f64 (*.f64 (PI.f64) u2)) (sin.f64 (*.f64 (PI.f64) u2)))
(* 1/6 (sqrt (* -2 (log u1))))
(*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal 1/6 binary64))
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
(* (/ 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 (* (sqrt (* -2 (log u1))) (* 1/6 (cos (* 2 (* (PI) u2))))) 3)))
(/.f64 (+.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))))) #s(literal 3 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 (+ 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))))
(*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))))
(sqrt (* -2 (log u1)))
(sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)))
(* -2 (log u1))
(*.f64 #s(literal -2 binary64) (log.f64 u1))
-2
#s(literal -2 binary64)
(log u1)
(log.f64 u1)
u1
(cos (* 2 (* (PI) u2)))
(cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))
(* 2 (* (PI) u2))
(*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))
2
#s(literal 2 binary64)
(* (PI) u2)
(*.f64 (PI.f64) u2)
(PI)
(PI.f64)
u2
(- (* (* (sqrt (* -2 (log u1))) (cos (* 2 (* (PI) u2)))) 1/36) 1/12)
(+.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 1/36 binary64))) #s(literal -1/12 binary64))
(* (* (sqrt (* -2 (log u1))) (cos (* 2 (* (PI) u2)))) 1/36)
(*.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 1/36 binary64)))
1/36
#s(literal 1/36 binary64)
1/12
#s(literal 1/12 binary64)
(+ 1/8 (pow (* (sqrt (* -2 (log u1))) (* 1/6 (cos (* 2 (* (PI) u2))))) 3))
(+.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))))) #s(literal 3 binary64)))
1/8
#s(literal 1/8 binary64)
(pow (* (sqrt (* -2 (log u1))) (* 1/6 (cos (* 2 (* (PI) u2))))) 3)
(pow.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))))) #s(literal 3 binary64))
(* (sqrt (* -2 (log u1))) (* 1/6 (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 (cos (* 2 (* (PI) u2))))
(*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))))
1/6
#s(literal 1/6 binary64)
3
#s(literal 3 binary64)

localize445.0ms (3.9%)

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%
(sin.f64 (*.f64 (PI.f64) u2))
✓accuracy100.0%
(log.f64 u1)
✓accuracy100.0%
(cos.f64 (*.f64 (PI.f64) u2))
✓accuracy3.1%
(PI.f64)
✓accuracy100.0%
(*.f64 #s(literal -2 binary64) (log.f64 u1))
✓accuracy100.0%
(log.f64 u1)
✓accuracy100.0%
(cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))
✓accuracy3.1%
(PI.f64)
✓accuracy100.0%
(*.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%
(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)
Results
307.0ms256×0invalid
Compiler

Compiled 600 to 50 computations (91.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 113.0ms
ival-mult: 53.0ms (46.9% of total)
ival-pow: 15.0ms (13.3% of total)
...c/correct-round.rkt:119:19: 12.0ms (10.6% of total)
ival-add: 9.0ms (8% of total)
ival-cos: 6.0ms (5.3% of total)
ival-sqrt: 5.0ms (4.4% of total)
ival-log: 4.0ms (3.5% of total)
ival-sub: 3.0ms (2.7% of total)
ival-div: 2.0ms (1.8% of total)
ival-sin: 2.0ms (1.8% of total)
ival-pi: 1.0ms (0.9% of total)
const: 1.0ms (0.9% of total)
backward-pass: 0.0ms (0% of total)

series83.0ms (0.7%)

Counts
25 → 384
Calls
Call 1
Inputs
#<alt (+ (* (sqrt (* -2 (log u1))) (* 1/6 (cos (* 2 (* (PI) u2))))) 1/2)>
#<alt (* (sqrt (* -2 (log u1))) (* 1/6 (cos (* 2 (* (PI) u2)))))>
#<alt (sqrt (* -2 (log u1)))>
#<alt (* -2 (log u1))>
#<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 (pow (pow (* -2 (log u1)) 1/4) 2)) (cos (* 2 (* (PI) u2)))))>
#<alt (* (* 1/6 (pow (pow (* -2 (log u1)) 1/4) 2)) (cos (* 2 (* (PI) u2))))>
#<alt (* 1/6 (pow (pow (* -2 (log u1)) 1/4) 2))>
#<alt (pow (pow (* -2 (log u1)) 1/4) 2)>
#<alt (+ 1/2 (* (+ (cos (* (PI) u2)) (sin (* (PI) u2))) (* (- (cos (* (PI) u2)) (sin (* (PI) u2))) (* 1/6 (sqrt (* -2 (log u1)))))))>
#<alt (* (+ (cos (* (PI) u2)) (sin (* (PI) u2))) (* (- (cos (* (PI) u2)) (sin (* (PI) u2))) (* 1/6 (sqrt (* -2 (log u1))))))>
#<alt (+ (cos (* (PI) u2)) (sin (* (PI) u2)))>
#<alt (cos (* (PI) u2))>
#<alt (* (/ 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 (* (sqrt (* -2 (log u1))) (* 1/6 (cos (* 2 (* (PI) u2))))) 3)))>
#<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 (* (* (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 (sqrt -2)>
#<alt (* 1/6 (sqrt -2))>
#<alt (sin (* (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 (* (sqrt (log u1)) (sqrt -2))>
#<alt (* (sqrt (log u1)) (sqrt -2))>
#<alt (* (sqrt (log u1)) (sqrt -2))>
#<alt (* (sqrt (log u1)) (sqrt -2))>
#<alt (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1)))>
#<alt (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1)))>
#<alt (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1)))>
#<alt (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1)))>
#<alt (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))>
#<alt (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))>
#<alt (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))>
#<alt (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))>
#<alt (* -2 (log u1))>
#<alt (* -2 (log u1))>
#<alt (* -2 (log u1))>
#<alt (* -2 (log u1))>
#<alt (* 2 (log (/ 1 u1)))>
#<alt (* 2 (log (/ 1 u1)))>
#<alt (* 2 (log (/ 1 u1)))>
#<alt (* 2 (log (/ 1 u1)))>
#<alt (* -2 (+ (log -1) (* -1 (log (/ -1 u1)))))>
#<alt (* -2 (+ (log -1) (* -1 (log (/ -1 u1)))))>
#<alt (* -2 (+ (log -1) (* -1 (log (/ -1 u1)))))>
#<alt (* -2 (+ (log -1) (* -1 (log (/ -1 u1)))))>
#<alt (+ 1/2 (* 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)))))>
#<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))))>
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#<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 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -2) (- (* 1/36 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))) 1/12))) (sqrt (log u1)))>
#<alt (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -2) (- (* 1/36 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))) 1/12))) (sqrt (log u1)))>
#<alt (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -2) (- (* 1/36 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))) 1/12))) (sqrt (log u1)))>
#<alt (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -2) (- (* 1/36 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))) 1/12))) (sqrt (log u1)))>
#<alt (* (* (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 (* (* (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 (* (* (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 (* (* (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 (* (* (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 (* (* (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 (* (* (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 (* (* (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 (* (sqrt (log u1)) (* (sqrt -2) (- (* 1/36 (* (sqrt (log u1)) (sqrt -2))) 1/12)))>
#<alt (+ (* (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 (+ (* (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 (+ (* (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 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -2) (- (* 1/36 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))) 1/12))) (sqrt (log u1)))>
#<alt (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -2) (- (* 1/36 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))) 1/12))) (sqrt (log u1)))>
#<alt (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -2) (- (* 1/36 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))) 1/12))) (sqrt (log u1)))>
#<alt (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -2) (- (* 1/36 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))) 1/12))) (sqrt (log u1)))>
#<alt (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -2) (- (* 1/36 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))) 1/12))) (sqrt (log u1)))>
#<alt (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -2) (- (* 1/36 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))) 1/12))) (sqrt (log u1)))>
#<alt (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -2) (- (* 1/36 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))) 1/12))) (sqrt (log u1)))>
#<alt (* (* (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 (* u2 (PI))>
#<alt (* u2 (+ (PI) (* -1/6 (* (pow u2 2) (pow (PI) 3)))))>
#<alt (* u2 (+ (PI) (* (pow u2 2) (+ (* -1/6 (pow (PI) 3)) (* 1/120 (* (pow u2 2) (pow (PI) 5)))))))>
#<alt (* u2 (+ (PI) (* (pow u2 2) (+ (* -1/6 (pow (PI) 3)) (* (pow u2 2) (+ (* -1/5040 (* (pow u2 2) (pow (PI) 7))) (* 1/120 (pow (PI) 5))))))))>
#<alt (sin (* u2 (PI)))>
#<alt (sin (* u2 (PI)))>
#<alt (sin (* u2 (PI)))>
#<alt (sin (* u2 (PI)))>
#<alt (sin (* u2 (PI)))>
#<alt (sin (* u2 (PI)))>
#<alt (sin (* u2 (PI)))>
#<alt (sin (* u2 (PI)))>
Calls

96 calls:

TimeVariablePointExpression
23.0ms
u2
@0
(* (/ 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 (* (sqrt (* -2 (log u1))) (* 1/6 (cos (* 2 (* (PI) u2))))) 3)))
7.0ms
u2
@inf
(* (/ 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 (* (sqrt (* -2 (log u1))) (* 1/6 (cos (* 2 (* (PI) u2))))) 3)))
6.0ms
u1
@-inf
(* (/ 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 (* (sqrt (* -2 (log u1))) (* 1/6 (cos (* 2 (* (PI) u2))))) 3)))
5.0ms
u1
@0
(* (/ 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 (* (sqrt (* -2 (log u1))) (* 1/6 (cos (* 2 (* (PI) u2))))) 3)))
4.0ms
u2
@-inf
(* (/ 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 (* (sqrt (* -2 (log u1))) (* 1/6 (cos (* 2 (* (PI) u2))))) 3)))

rewrite142.0ms (1.2%)

Algorithm
1×batch-egg-rewrite
Rules
1390×*-lowering-*.f32
1390×*-lowering-*.f64
522×/-lowering-/.f32
522×/-lowering-/.f64
452×+-lowering-+.f64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
049301
1268294
02101294
Stop Event
1×iter limit
1×iter limit
1×node limit
Counts
25 → 377
Calls
Call 1
Inputs
(+ (* (sqrt (* -2 (log u1))) (* 1/6 (cos (* 2 (* (PI) u2))))) 1/2)
(* (sqrt (* -2 (log u1))) (* 1/6 (cos (* 2 (* (PI) u2)))))
(sqrt (* -2 (log u1)))
(* -2 (log u1))
(+ 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 (pow (pow (* -2 (log u1)) 1/4) 2)) (cos (* 2 (* (PI) u2)))))
(* (* 1/6 (pow (pow (* -2 (log u1)) 1/4) 2)) (cos (* 2 (* (PI) u2))))
(* 1/6 (pow (pow (* -2 (log u1)) 1/4) 2))
(pow (pow (* -2 (log u1)) 1/4) 2)
(+ 1/2 (* (+ (cos (* (PI) u2)) (sin (* (PI) u2))) (* (- (cos (* (PI) u2)) (sin (* (PI) u2))) (* 1/6 (sqrt (* -2 (log u1)))))))
(* (+ (cos (* (PI) u2)) (sin (* (PI) u2))) (* (- (cos (* (PI) u2)) (sin (* (PI) u2))) (* 1/6 (sqrt (* -2 (log u1))))))
(+ (cos (* (PI) u2)) (sin (* (PI) u2)))
(cos (* (PI) u2))
(* (/ 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 (* (sqrt (* -2 (log u1))) (* 1/6 (cos (* 2 (* (PI) u2))))) 3)))
(/ 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)))) (- (* (* (sqrt (* -2 (log u1))) (cos (* 2 (* (PI) u2)))) 1/36) 1/12))
(PI)
(cos (* 2 (* (PI) u2)))
(sqrt -2)
(* 1/6 (sqrt -2))
(sin (* (PI) u2))
Outputs
(+.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))))) #s(literal 1/2 binary64))
(+.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))))))
(-.f64 (/.f64 #s(literal 1/4 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 (pow.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))))) #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #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 (pow.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))))) #s(literal 2 binary64)) (+.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))))) #s(literal -1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (+.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))))) #s(literal -1/2 binary64))))
(fma.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))) #s(literal 1/2 binary64))
(fma.f64 #s(literal 1/6 binary64) (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))) #s(literal 1/2 binary64))
(fma.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))) (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal 1/6 binary64)) #s(literal 1/2 binary64))
(fma.f64 (*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal 1/2 binary64))
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(*.f64 #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 (-.f64 #s(literal 0 binary64) (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 (-.f64 #s(literal 0 binary64) (sin.f64 (*.f64 (PI.f64) u2))) (sin.f64 (*.f64 (PI.f64) u2))))
(+.f64 (*.f64 (+.f64 (cos.f64 (*.f64 (PI.f64) u2)) (sin.f64 (*.f64 (PI.f64) u2))) (cos.f64 (*.f64 (PI.f64) u2))) (*.f64 (+.f64 (cos.f64 (*.f64 (PI.f64) u2)) (sin.f64 (*.f64 (PI.f64) u2))) (-.f64 #s(literal 0 binary64) (sin.f64 (*.f64 (PI.f64) u2)))))
(+.f64 (*.f64 (cos.f64 (*.f64 (PI.f64) u2)) (+.f64 (cos.f64 (*.f64 (PI.f64) u2)) (sin.f64 (*.f64 (PI.f64) u2)))) (*.f64 (-.f64 #s(literal 0 binary64) (sin.f64 (*.f64 (PI.f64) u2))) (+.f64 (cos.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 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))) (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 (pow.f64 (cos.f64 (*.f64 (PI.f64) u2)) #s(literal 3 binary64)) (pow.f64 (sin.f64 (*.f64 (PI.f64) u2)) #s(literal 3 binary64)))) (*.f64 (-.f64 (cos.f64 (*.f64 (PI.f64) u2)) (sin.f64 (*.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 (sin.f64 (*.f64 (PI.f64) u2)) (+.f64 (cos.f64 (*.f64 (PI.f64) u2)) (sin.f64 (*.f64 (PI.f64) u2)))))))
(/.f64 (*.f64 (+.f64 (pow.f64 (cos.f64 (*.f64 (PI.f64) u2)) #s(literal 3 binary64)) (pow.f64 (sin.f64 (*.f64 (PI.f64) u2)) #s(literal 3 binary64))) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))) (+.f64 (pow.f64 (cos.f64 (*.f64 (PI.f64) u2)) #s(literal 3 binary64)) (pow.f64 (sin.f64 (*.f64 (PI.f64) u2)) #s(literal 3 binary64))))
(/.f64 (*.f64 (+.f64 (pow.f64 (cos.f64 (*.f64 (PI.f64) u2)) #s(literal 3 binary64)) (pow.f64 (sin.f64 (*.f64 (PI.f64) u2)) #s(literal 3 binary64))) (-.f64 (pow.f64 (cos.f64 (*.f64 (PI.f64) u2)) #s(literal 3 binary64)) (pow.f64 (sin.f64 (*.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 (sin.f64 (*.f64 (PI.f64) u2)) (-.f64 (sin.f64 (*.f64 (PI.f64) u2)) (cos.f64 (*.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 (sin.f64 (*.f64 (PI.f64) u2)) (+.f64 (cos.f64 (*.f64 (PI.f64) u2)) (sin.f64 (*.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 (+.f64 (cos.f64 (*.f64 (PI.f64) u2)) (sin.f64 (*.f64 (PI.f64) u2))) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))) (+.f64 (cos.f64 (*.f64 (PI.f64) u2)) (sin.f64 (*.f64 (PI.f64) u2))))
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(/.f64 (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))) (-.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 (*.f64 (+.f64 (pow.f64 (cos.f64 (*.f64 (PI.f64) u2)) #s(literal 3 binary64)) (pow.f64 (sin.f64 (*.f64 (PI.f64) u2)) #s(literal 3 binary64))) (-.f64 (cos.f64 (*.f64 (PI.f64) u2)) (sin.f64 (*.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 (sin.f64 (*.f64 (PI.f64) u2)) (-.f64 (sin.f64 (*.f64 (PI.f64) u2)) (cos.f64 (*.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 (-.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))))
(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))
(sin.f64 (*.f64 (PI.f64) u2))

simplify392.0ms (3.4%)

Algorithm
1×egg-herbie
Rules
6428×*-lowering-*.f32
6428×*-lowering-*.f64
1978×+-lowering-+.f64
1978×+-lowering-+.f32
1756×sum4-define
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
044411452
1146310497
2651610483
0837910483
Stop Event
1×iter limit
1×node limit
Counts
384 → 384
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))))
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(* 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))))
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(* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1))))
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(* 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))))
(* (sqrt (log u1)) (sqrt -2))
(* (sqrt (log u1)) (sqrt -2))
(* (sqrt (log u1)) (sqrt -2))
(* (sqrt (log u1)) (sqrt -2))
(* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1)))
(* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1)))
(* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1)))
(* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1)))
(* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))
(* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))
(* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))
(* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))
(* -2 (log u1))
(* -2 (log u1))
(* -2 (log u1))
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(* 2 (log (/ 1 u1)))
(* 2 (log (/ 1 u1)))
(* 2 (log (/ 1 u1)))
(* 2 (log (/ 1 u1)))
(* -2 (+ (log -1) (* -1 (log (/ -1 u1)))))
(* -2 (+ (log -1) (* -1 (log (/ -1 u1)))))
(* -2 (+ (log -1) (* -1 (log (/ -1 u1)))))
(* -2 (+ (log -1) (* -1 (log (/ -1 u1)))))
(+ 1/2 (* 1/6 (* (sqrt (log u1)) (sqrt -2))))
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(+ 1/2 (* 1/6 (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1)))))
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(* 1/6 (* (sqrt (log u1)) (sqrt -2)))
(* 1/6 (* (sqrt (log u1)) (sqrt -2)))
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(* 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 (log u1))
(sqrt (log u1))
(sqrt (log u1))
(* (sqrt (log (/ 1 u1))) (sqrt -1))
(* (sqrt (log (/ 1 u1))) (sqrt -1))
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(* (sqrt (log (/ 1 u1))) (sqrt -1))
(sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))
(sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))
(sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))
(sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))
(log u1)
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(log u1)
(log u1)
(* -1 (log (/ 1 u1)))
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(* (sqrt (log u1)) (* (sqrt -2) (- (* 1/36 (* (sqrt (log u1)) (sqrt -2))) 1/12)))
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(* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -2) (- (* 1/36 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))) 1/12))) (sqrt (log u1)))
1
(+ 1 (* -2 (* (pow u2 2) (pow (PI) 2))))
(+ 1 (* (pow u2 2) (+ (* -2 (pow (PI) 2)) (* 2/3 (* (pow u2 2) (pow (PI) 4))))))
(+ 1 (* (pow u2 2) (+ (* -2 (pow (PI) 2)) (* (pow u2 2) (+ (* -4/45 (* (pow u2 2) (pow (PI) 6))) (* 2/3 (pow (PI) 4)))))))
(cos (* 2 (* u2 (PI))))
(cos (* 2 (* u2 (PI))))
(cos (* 2 (* u2 (PI))))
(cos (* 2 (* u2 (PI))))
(cos (* 2 (* u2 (PI))))
(cos (* 2 (* u2 (PI))))
(cos (* 2 (* u2 (PI))))
(cos (* 2 (* u2 (PI))))
(* u2 (PI))
(* u2 (+ (PI) (* -1/6 (* (pow u2 2) (pow (PI) 3)))))
(* u2 (+ (PI) (* (pow u2 2) (+ (* -1/6 (pow (PI) 3)) (* 1/120 (* (pow u2 2) (pow (PI) 5)))))))
(* u2 (+ (PI) (* (pow u2 2) (+ (* -1/6 (pow (PI) 3)) (* (pow u2 2) (+ (* -1/5040 (* (pow u2 2) (pow (PI) 7))) (* 1/120 (pow (PI) 5))))))))
(sin (* u2 (PI)))
(sin (* u2 (PI)))
(sin (* u2 (PI)))
(sin (* u2 (PI)))
(sin (* u2 (PI)))
(sin (* u2 (PI)))
(sin (* u2 (PI)))
(sin (* u2 (PI)))
Outputs
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(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 u2 u2) (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal -2 binary64)))))
(+ 1 (* (pow u2 2) (+ (* -2 (pow (PI) 2)) (* 2/3 (* (pow u2 2) (pow (PI) 4))))))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 u2 u2) (+.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal -2 binary64))) (*.f64 u2 (*.f64 u2 (*.f64 (pow.f64 (PI.f64) #s(literal 4 binary64)) #s(literal 2/3 binary64)))))))
(+ 1 (* (pow u2 2) (+ (* -2 (pow (PI) 2)) (* (pow u2 2) (+ (* -4/45 (* (pow u2 2) (pow (PI) 6))) (* 2/3 (pow (PI) 4)))))))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 u2 u2) (+.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal -2 binary64))) (*.f64 (*.f64 u2 u2) (+.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 4 binary64)) #s(literal 2/3 binary64)) (*.f64 (*.f64 u2 u2) (*.f64 (pow.f64 (PI.f64) #s(literal 6 binary64)) #s(literal -4/45 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))))
(* u2 (PI))
(*.f64 u2 (PI.f64))
(* u2 (+ (PI) (* -1/6 (* (pow u2 2) (pow (PI) 3)))))
(*.f64 u2 (+.f64 (PI.f64) (*.f64 (*.f64 u2 u2) (*.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal -1/6 binary64))))))
(* u2 (+ (PI) (* (pow u2 2) (+ (* -1/6 (pow (PI) 3)) (* 1/120 (* (pow u2 2) (pow (PI) 5)))))))
(*.f64 u2 (+.f64 (PI.f64) (*.f64 (*.f64 u2 u2) (+.f64 (*.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal -1/6 binary64))) (*.f64 u2 (*.f64 u2 (*.f64 #s(literal 1/120 binary64) (pow.f64 (PI.f64) #s(literal 5 binary64)))))))))
(* u2 (+ (PI) (* (pow u2 2) (+ (* -1/6 (pow (PI) 3)) (* (pow u2 2) (+ (* -1/5040 (* (pow u2 2) (pow (PI) 7))) (* 1/120 (pow (PI) 5))))))))
(*.f64 u2 (+.f64 (PI.f64) (*.f64 (*.f64 u2 u2) (+.f64 (*.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal -1/6 binary64))) (*.f64 (*.f64 u2 u2) (+.f64 (*.f64 #s(literal -1/5040 binary64) (*.f64 u2 (*.f64 u2 (pow.f64 (PI.f64) #s(literal 7 binary64))))) (*.f64 #s(literal 1/120 binary64) (pow.f64 (PI.f64) #s(literal 5 binary64)))))))))
(sin (* u2 (PI)))
(sin.f64 (*.f64 u2 (PI.f64)))
(sin (* u2 (PI)))
(sin.f64 (*.f64 u2 (PI.f64)))
(sin (* u2 (PI)))
(sin.f64 (*.f64 u2 (PI.f64)))
(sin (* u2 (PI)))
(sin.f64 (*.f64 u2 (PI.f64)))
(sin (* u2 (PI)))
(sin.f64 (*.f64 u2 (PI.f64)))
(sin (* u2 (PI)))
(sin.f64 (*.f64 u2 (PI.f64)))
(sin (* u2 (PI)))
(sin.f64 (*.f64 u2 (PI.f64)))
(sin (* u2 (PI)))
(sin.f64 (*.f64 u2 (PI.f64)))

eval194.0ms (1.7%)

Compiler

Compiled 61193 to 3051 computations (95% saved)

prune123.0ms (1.1%)

Pruning

20 alts after pruning (19 fresh and 1 done)

PrunedKeptTotal
New1384151399
Fresh7411
Picked505
Done011
Total1396201416
Accuracy
100.0%
Counts
1416 → 20
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))
99.3%
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))))))) #s(literal -1 binary64))
98.2%
(/.f64 (-.f64 (pow.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal 1/6 binary64)) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (-.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))
99.2%
(/.f64 (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal -1/36 binary64) (pow.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))) #s(literal 2 binary64)))) (-.f64 #s(literal 1/2 binary64) (*.f64 (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)))))))
98.1%
(/.f64 (+.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal 1/6 binary64)) #s(literal 3 binary64))) (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal 1/6 binary64)) (-.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))))
98.1%
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.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 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal 1/6 binary64)) #s(literal 2 binary64)))))
99.0%
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))))) #s(literal 2 binary64)) (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/12 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 1/8 binary64) (pow.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))))) #s(literal 3 binary64)))))
98.0%
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal 1/6 binary64)) (-.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))) (+.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal 1/6 binary64)) #s(literal 3 binary64)))))
99.3%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))))))))
▶98.0%
(-.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal 1/6 binary64)))) (/.f64 (pow.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal 1/6 binary64)) #s(literal 2 binary64)) (-.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal 1/6 binary64)))))
98.8%
(+.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (*.f64 #s(literal 1/6 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 u2 u2) (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal -2 binary64))))))) #s(literal 1/2 binary64))
▶98.2%
(+.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal 1/6 binary64)) #s(literal 1/2 binary64))
98.0%
(+.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))))
▶98.3%
(+.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 (*.f64 u2 (PI.f64)) #s(literal 1 binary64)) (*.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)))))))
98.0%
(+.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))) #s(literal 1 binary64)))
▶99.5%
(+.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)))))
✓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)))))
99.0%
(+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 #s(literal 1/6 binary64) (exp.f64 (*.f64 (log.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal 1/2 binary64)))) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))))
98.1%
(*.f64 (-.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal 1/6 binary64)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal 1/6 binary64)))))
98.0%
(*.f64 (+.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal 1/6 binary64)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal 1/6 binary64)) (-.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal 1/6 binary64)) #s(literal 1/2 binary64))))))
Compiler

Compiled 1020 to 694 computations (32% saved)

simplify185.0ms (1.6%)

Algorithm
1×egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal 1/6 binary64))))
✓cost-diff12992
(pow.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal 1/6 binary64)) #s(literal 2 binary64))
✓cost-diff12992
(/.f64 (pow.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal 1/6 binary64)) #s(literal 2 binary64)) (-.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal 1/6 binary64))))
✓cost-diff12992
(-.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal 1/6 binary64)))) (/.f64 (pow.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal 1/6 binary64)) #s(literal 2 binary64)) (-.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal 1/6 binary64)))))
✓cost-diff0
(*.f64 u2 (PI.f64))
✓cost-diff0
(+.f64 (*.f64 u2 (PI.f64)) #s(literal 1 binary64))
✓cost-diff0
(*.f64 (+.f64 (*.f64 u2 (PI.f64)) #s(literal 1 binary64)) (*.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))))))
✓cost-diff0
(+.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 (*.f64 u2 (PI.f64)) #s(literal 1 binary64)) (*.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)))))))
✓cost-diff0
(*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))
✓cost-diff0
(cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))
✓cost-diff0
(*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))))
✓cost-diff6272
(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))
✓cost-diff0
(*.f64 #s(literal -2 binary64) (log.f64 u1))
✓cost-diff0
(sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)))
✓cost-diff0
(*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal 1/6 binary64))
✓cost-diff0
(+.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal 1/6 binary64)) #s(literal 1/2 binary64))
✓cost-diff0
(*.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (log.f64 u1))) (sqrt.f64 #s(literal 2 binary64)))
✓cost-diff0
(*.f64 #s(literal 1/6 binary64) (*.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (log.f64 u1))) (sqrt.f64 #s(literal 2 binary64))))
✓cost-diff0
(*.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (log.f64 u1))) (sqrt.f64 #s(literal 2 binary64)))) (cos.f64 (*.f64 #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
3592×*-lowering-*.f32
3592×*-lowering-*.f64
1690×+-lowering-+.f64
1690×+-lowering-+.f32
1176×fma-lowering-fma.f32
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
042385
189380
2213369
3651363
42338362
55557362
08135362
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
(+ (* (sqrt (* -2 (log u1))) 1/6) 1/2)
(* (sqrt (* -2 (log u1))) 1/6)
(sqrt (* -2 (log u1)))
(* -2 (log u1))
-2
(log u1)
u1
1/6
1/2
(+ (* (* 1/6 (cos (* 2 (* (PI) u2)))) (sqrt (* -2 (log u1)))) 1/2)
(* 1/6 (cos (* 2 (* (PI) u2))))
1/6
(cos (* 2 (* (PI) u2)))
(* 2 (* (PI) u2))
2
(* (PI) u2)
(PI)
u2
(sqrt (* -2 (log u1)))
(* -2 (log u1))
-2
(log u1)
u1
1/2
(+ 1/2 (* (+ (* u2 (PI)) 1) (* (- (cos (* (PI) u2)) (sin (* (PI) u2))) (* 1/6 (sqrt (* -2 (log u1)))))))
1/2
(* (+ (* u2 (PI)) 1) (* (- (cos (* (PI) u2)) (sin (* (PI) u2))) (* 1/6 (sqrt (* -2 (log u1))))))
(+ (* u2 (PI)) 1)
(* u2 (PI))
u2
(PI)
1
(* (- (cos (* (PI) u2)) (sin (* (PI) u2))) (* 1/6 (sqrt (* -2 (log u1)))))
(- (cos (* (PI) u2)) (sin (* (PI) u2)))
(cos (* (PI) u2))
(* (PI) u2)
(sin (* (PI) u2))
(* 1/6 (sqrt (* -2 (log u1))))
1/6
(sqrt (* -2 (log u1)))
(* -2 (log u1))
-2
(log u1)
u1
(- (/ 1/4 (- 1/2 (* (sqrt (* -2 (log u1))) 1/6))) (/ (pow (* (sqrt (* -2 (log u1))) 1/6) 2) (- 1/2 (* (sqrt (* -2 (log u1))) 1/6))))
(/ 1/4 (- 1/2 (* (sqrt (* -2 (log u1))) 1/6)))
1/4
(- 1/2 (* (sqrt (* -2 (log u1))) 1/6))
1/2
(* (sqrt (* -2 (log u1))) 1/6)
(sqrt (* -2 (log u1)))
(* -2 (log u1))
-2
(log u1)
u1
1/6
(/ (pow (* (sqrt (* -2 (log u1))) 1/6) 2) (- 1/2 (* (sqrt (* -2 (log u1))) 1/6)))
(pow (* (sqrt (* -2 (log u1))) 1/6) 2)
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 (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
(+ (* (sqrt (* -2 (log u1))) 1/6) 1/2)
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)))))
(* (sqrt (* -2 (log u1))) 1/6)
(*.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))))
(sqrt (* -2 (log u1)))
(sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)))
(* -2 (log u1))
(*.f64 (log.f64 u1) #s(literal -2 binary64))
-2
#s(literal -2 binary64)
(log u1)
(log.f64 u1)
u1
1/6
#s(literal 1/6 binary64)
1/2
#s(literal 1/2 binary64)
(+ (* (* 1/6 (cos (* 2 (* (PI) u2)))) (sqrt (* -2 (log u1)))) 1/2)
(+.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 (log.f64 u1) #s(literal -2 binary64))))))
(* 1/6 (cos (* 2 (* (PI) u2))))
(*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))))
1/6
#s(literal 1/6 binary64)
(cos (* 2 (* (PI) u2)))
(cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))
(* 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)))
(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)
(+ 1/2 (* (+ (* u2 (PI)) 1) (* (- (cos (* (PI) u2)) (sin (* (PI) u2))) (* 1/6 (sqrt (* -2 (log u1)))))))
(+.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))) (*.f64 (-.f64 (cos.f64 (*.f64 (PI.f64) u2)) (sin.f64 (*.f64 (PI.f64) u2))) (*.f64 #s(literal 1/6 binary64) (+.f64 (*.f64 (PI.f64) u2) #s(literal 1 binary64))))))
1/2
#s(literal 1/2 binary64)
(* (+ (* u2 (PI)) 1) (* (- (cos (* (PI) u2)) (sin (* (PI) u2))) (* 1/6 (sqrt (* -2 (log u1))))))
(*.f64 (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))) (*.f64 (-.f64 (cos.f64 (*.f64 (PI.f64) u2)) (sin.f64 (*.f64 (PI.f64) u2))) (*.f64 #s(literal 1/6 binary64) (+.f64 (*.f64 (PI.f64) u2) #s(literal 1 binary64)))))
(+ (* u2 (PI)) 1)
(+.f64 (*.f64 (PI.f64) u2) #s(literal 1 binary64))
(* u2 (PI))
(*.f64 (PI.f64) u2)
u2
(PI)
(PI.f64)
1
#s(literal 1 binary64)
(* (- (cos (* (PI) u2)) (sin (* (PI) u2))) (* 1/6 (sqrt (* -2 (log u1)))))
(*.f64 #s(literal 1/6 binary64) (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))) (-.f64 (cos.f64 (*.f64 (PI.f64) u2)) (sin.f64 (*.f64 (PI.f64) u2)))))
(- (cos (* (PI) u2)) (sin (* (PI) u2)))
(-.f64 (cos.f64 (*.f64 (PI.f64) u2)) (sin.f64 (*.f64 (PI.f64) u2)))
(cos (* (PI) u2))
(cos.f64 (*.f64 (PI.f64) u2))
(* (PI) u2)
(*.f64 (PI.f64) u2)
(sin (* (PI) u2))
(sin.f64 (*.f64 (PI.f64) u2))
(* 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
(- (/ 1/4 (- 1/2 (* (sqrt (* -2 (log u1))) 1/6))) (/ (pow (* (sqrt (* -2 (log u1))) 1/6) 2) (- 1/2 (* (sqrt (* -2 (log u1))) 1/6))))
(+.f64 (/.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal -1/6 binary64)))) (/.f64 (*.f64 (log.f64 u1) #s(literal -1/18 binary64)) (+.f64 (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)))) #s(literal -1/2 binary64))))
(/ 1/4 (- 1/2 (* (sqrt (* -2 (log u1))) 1/6)))
(/.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal -1/6 binary64))))
1/4
#s(literal 1/4 binary64)
(- 1/2 (* (sqrt (* -2 (log u1))) 1/6))
(+.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal -1/6 binary64)))
1/2
#s(literal 1/2 binary64)
(* (sqrt (* -2 (log u1))) 1/6)
(*.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))))
(sqrt (* -2 (log u1)))
(sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)))
(* -2 (log u1))
(*.f64 (log.f64 u1) #s(literal -2 binary64))
-2
#s(literal -2 binary64)
(log u1)
(log.f64 u1)
u1
1/6
#s(literal 1/6 binary64)
(/ (pow (* (sqrt (* -2 (log u1))) 1/6) 2) (- 1/2 (* (sqrt (* -2 (log u1))) 1/6)))
(/.f64 (*.f64 (log.f64 u1) #s(literal -1/18 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal -1/6 binary64))))
(pow (* (sqrt (* -2 (log u1))) 1/6) 2)
(*.f64 (log.f64 u1) #s(literal -1/18 binary64))
2
#s(literal 2 binary64)

localize339.0ms (3%)

Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
✓accuracy99.5%
(-.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal 1/6 binary64)))) (/.f64 (pow.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal 1/6 binary64)) #s(literal 2 binary64)) (-.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal 1/6 binary64)))))
✓accuracy99.4%
(/.f64 (pow.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal 1/6 binary64)) #s(literal 2 binary64)) (-.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal 1/6 binary64))))
✓accuracy99.4%
(*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal 1/6 binary64))
✓accuracy99.2%
(pow.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal 1/6 binary64)) #s(literal 2 binary64))
✓accuracy99.8%
(sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)))
✓accuracy99.6%
(*.f64 (PI.f64) u2)
✓accuracy99.6%
(*.f64 u2 (PI.f64))
✓accuracy99.4%
(*.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))))
✓accuracy100.0%
(*.f64 #s(literal 1/6 binary64) (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)
✓accuracy99.4%
(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))
✓accuracy100.0%
(log.f64 u1)
✓accuracy99.9%
(+.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal 1/6 binary64)) #s(literal 1/2 binary64))
✓accuracy99.8%
(sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)))
✓accuracy99.4%
(*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal 1/6 binary64))
✓accuracy99.8%
(sqrt.f64 (-.f64 #s(literal 0 binary64) (log.f64 u1)))
✓accuracy99.6%
(*.f64 (PI.f64) u2)
✓accuracy99.4%
(*.f64 #s(literal 1/6 binary64) (*.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (log.f64 u1))) (sqrt.f64 #s(literal 2 binary64))))
✓accuracy99.3%
(*.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (log.f64 u1))) (sqrt.f64 #s(literal 2 binary64)))
Results
246.0ms256×0valid
Compiler

Compiled 398 to 42 computations (89.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 84.0ms
ival-mult: 23.0ms (27.3% of total)
ival-div: 17.0ms (20.2% of total)
...c/correct-round.rkt:119:19: 7.0ms (8.3% of total)
ival-add: 6.0ms (7.1% of total)
ival-sub: 6.0ms (7.1% of total)
ival-sqrt: 5.0ms (5.9% of total)
ival-log: 4.0ms (4.8% of total)
ival-cos: 4.0ms (4.8% of total)
compiled-spec: 4.0ms (4.8% of total)
ival-pow: 3.0ms (3.6% of total)
ival-sin: 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)

series37.0ms (0.3%)

Counts
24 → 348
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 (+ (* (sqrt (* -2 (log u1))) 1/6) 1/2)>
#<alt (* (sqrt (* -2 (log u1))) 1/6)>
#<alt (sqrt (* -2 (log u1)))>
#<alt (* -2 (log u1))>
#<alt (+ (* (* 1/6 (cos (* 2 (* (PI) u2)))) (sqrt (* -2 (log u1)))) 1/2)>
#<alt (* 1/6 (cos (* 2 (* (PI) u2))))>
#<alt (cos (* 2 (* (PI) u2)))>
#<alt (* 2 (* (PI) u2))>
#<alt (+ 1/2 (* (+ (* u2 (PI)) 1) (* (- (cos (* (PI) u2)) (sin (* (PI) u2))) (* 1/6 (sqrt (* -2 (log u1)))))))>
#<alt (* (+ (* u2 (PI)) 1) (* (- (cos (* (PI) u2)) (sin (* (PI) u2))) (* 1/6 (sqrt (* -2 (log u1))))))>
#<alt (+ (* u2 (PI)) 1)>
#<alt (* u2 (PI))>
#<alt (- (/ 1/4 (- 1/2 (* (sqrt (* -2 (log u1))) 1/6))) (/ (pow (* (sqrt (* -2 (log u1))) 1/6) 2) (- 1/2 (* (sqrt (* -2 (log u1))) 1/6))))>
#<alt (/ (pow (* (sqrt (* -2 (log u1))) 1/6) 2) (- 1/2 (* (sqrt (* -2 (log u1))) 1/6)))>
#<alt (pow (* (sqrt (* -2 (log u1))) 1/6) 2)>
#<alt (/ 1/4 (- 1/2 (* (sqrt (* -2 (log u1))) 1/6)))>
#<alt (* (PI) u2)>
#<alt (sqrt (- 0 (log u1)))>
#<alt (log u1)>
#<alt (* 1/6 (sqrt (* -2 (log u1))))>
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 (* (sqrt (log u1)) (* (sqrt -1) (sqrt 2)))>
#<alt (* (sqrt (log u1)) (* (sqrt -1) (sqrt 2)))>
#<alt (* (sqrt (log u1)) (* (sqrt -1) (sqrt 2)))>
#<alt (* (sqrt (log u1)) (* (sqrt -1) (sqrt 2)))>
#<alt (* (sqrt (log (/ 1 u1))) (* (pow (sqrt -1) 2) (sqrt 2)))>
#<alt (* (sqrt (log (/ 1 u1))) (* (pow (sqrt -1) 2) (sqrt 2)))>
#<alt (* (sqrt (log (/ 1 u1))) (* (pow (sqrt -1) 2) (sqrt 2)))>
#<alt (* (sqrt (log (/ 1 u1))) (* (pow (sqrt -1) 2) (sqrt 2)))>
#<alt (* (* (sqrt -1) (sqrt 2)) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))>
#<alt (* (* (sqrt -1) (sqrt 2)) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))>
#<alt (* (* (sqrt -1) (sqrt 2)) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))>
#<alt (* (* (sqrt -1) (sqrt 2)) (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))))))))>
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#<alt (* 1/36 (/ (* (log u1) (pow (sqrt -2) 2)) (- 1/2 (* 1/6 (* (sqrt (log u1)) (sqrt -2))))))>
#<alt (* -1/36 (/ (* (log (/ 1 u1)) (pow (sqrt -2) 2)) (- 1/2 (* 1/6 (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1)))))))>
#<alt (* -1/36 (/ (* (log (/ 1 u1)) (pow (sqrt -2) 2)) (- 1/2 (* 1/6 (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1)))))))>
#<alt (* -1/36 (/ (* (log (/ 1 u1)) (pow (sqrt -2) 2)) (- 1/2 (* 1/6 (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1)))))))>
#<alt (* -1/36 (/ (* (log (/ 1 u1)) (pow (sqrt -2) 2)) (- 1/2 (* 1/6 (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1)))))))>
#<alt (* 1/36 (/ (* (pow (sqrt -2) 2) (+ (log -1) (* -1 (log (/ -1 u1))))) (- 1/2 (* 1/6 (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))))))>
#<alt (* 1/36 (/ (* (pow (sqrt -2) 2) (+ (log -1) (* -1 (log (/ -1 u1))))) (- 1/2 (* 1/6 (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))))))>
#<alt (* 1/36 (/ (* (pow (sqrt -2) 2) (+ (log -1) (* -1 (log (/ -1 u1))))) (- 1/2 (* 1/6 (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))))))>
#<alt (* 1/36 (/ (* (pow (sqrt -2) 2) (+ (log -1) (* -1 (log (/ -1 u1))))) (- 1/2 (* 1/6 (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))))))>
#<alt (* 1/36 (* (log u1) (pow (sqrt -2) 2)))>
#<alt (* 1/36 (* (log u1) (pow (sqrt -2) 2)))>
#<alt (* 1/36 (* (log u1) (pow (sqrt -2) 2)))>
#<alt (* 1/36 (* (log u1) (pow (sqrt -2) 2)))>
#<alt (* -1/36 (* (log (/ 1 u1)) (pow (sqrt -2) 2)))>
#<alt (* -1/36 (* (log (/ 1 u1)) (pow (sqrt -2) 2)))>
#<alt (* -1/36 (* (log (/ 1 u1)) (pow (sqrt -2) 2)))>
#<alt (* -1/36 (* (log (/ 1 u1)) (pow (sqrt -2) 2)))>
#<alt (* 1/36 (* (pow (sqrt -2) 2) (+ (log -1) (* -1 (log (/ -1 u1))))))>
#<alt (* 1/36 (* (pow (sqrt -2) 2) (+ (log -1) (* -1 (log (/ -1 u1))))))>
#<alt (* 1/36 (* (pow (sqrt -2) 2) (+ (log -1) (* -1 (log (/ -1 u1))))))>
#<alt (* 1/36 (* (pow (sqrt -2) 2) (+ (log -1) (* -1 (log (/ -1 u1))))))>
#<alt (/ 1/4 (- 1/2 (* 1/6 (* (sqrt (log u1)) (sqrt -2)))))>
#<alt (/ 1/4 (- 1/2 (* 1/6 (* (sqrt (log u1)) (sqrt -2)))))>
#<alt (/ 1/4 (- 1/2 (* 1/6 (* (sqrt (log u1)) (sqrt -2)))))>
#<alt (/ 1/4 (- 1/2 (* 1/6 (* (sqrt (log u1)) (sqrt -2)))))>
#<alt (/ 1/4 (- 1/2 (* 1/6 (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1))))))>
#<alt (/ 1/4 (- 1/2 (* 1/6 (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1))))))>
#<alt (/ 1/4 (- 1/2 (* 1/6 (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1))))))>
#<alt (/ 1/4 (- 1/2 (* 1/6 (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1))))))>
#<alt (/ 1/4 (- 1/2 (* 1/6 (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))))))>
#<alt (/ 1/4 (- 1/2 (* 1/6 (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))))))>
#<alt (/ 1/4 (- 1/2 (* 1/6 (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))))))>
#<alt (/ 1/4 (- 1/2 (* 1/6 (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))))))>
#<alt (* u2 (PI))>
#<alt (* u2 (PI))>
#<alt (* u2 (PI))>
#<alt (* u2 (PI))>
#<alt (* u2 (PI))>
#<alt (* u2 (PI))>
#<alt (* u2 (PI))>
#<alt (* u2 (PI))>
#<alt (* u2 (PI))>
#<alt (* u2 (PI))>
#<alt (* u2 (PI))>
#<alt (* u2 (PI))>
#<alt (* (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)))))))>
Calls

87 calls:

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

rewrite740.0ms (6.5%)

Algorithm
1×batch-egg-rewrite
Rules
5154×*-lowering-*.f32
5154×*-lowering-*.f64
3108×+-lowering-+.f64
3108×+-lowering-+.f32
2960×/-lowering-/.f32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
042220
1243216
22074210
09888210
Stop Event
1×iter limit
1×node limit
Counts
24 → 725
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))
(+ (* (sqrt (* -2 (log u1))) 1/6) 1/2)
(* (sqrt (* -2 (log u1))) 1/6)
(sqrt (* -2 (log u1)))
(* -2 (log u1))
(+ (* (* 1/6 (cos (* 2 (* (PI) u2)))) (sqrt (* -2 (log u1)))) 1/2)
(* 1/6 (cos (* 2 (* (PI) u2))))
(cos (* 2 (* (PI) u2)))
(* 2 (* (PI) u2))
(+ 1/2 (* (+ (* u2 (PI)) 1) (* (- (cos (* (PI) u2)) (sin (* (PI) u2))) (* 1/6 (sqrt (* -2 (log u1)))))))
(* (+ (* u2 (PI)) 1) (* (- (cos (* (PI) u2)) (sin (* (PI) u2))) (* 1/6 (sqrt (* -2 (log u1))))))
(+ (* u2 (PI)) 1)
(* u2 (PI))
(- (/ 1/4 (- 1/2 (* (sqrt (* -2 (log u1))) 1/6))) (/ (pow (* (sqrt (* -2 (log u1))) 1/6) 2) (- 1/2 (* (sqrt (* -2 (log u1))) 1/6))))
(/ (pow (* (sqrt (* -2 (log u1))) 1/6) 2) (- 1/2 (* (sqrt (* -2 (log u1))) 1/6)))
(pow (* (sqrt (* -2 (log u1))) 1/6) 2)
(/ 1/4 (- 1/2 (* (sqrt (* -2 (log u1))) 1/6)))
(* (PI) u2)
(sqrt (- 0 (log u1)))
(log u1)
(* 1/6 (sqrt (* -2 (log u1))))
Outputs
(+.f64 #s(literal 1/2 binary64) (*.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 #s(literal 2 binary64) (*.f64 (PI.f64) u2))))))
(+.f64 (*.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 #s(literal 2 binary64) (*.f64 (PI.f64) u2))))) #s(literal 1/2 binary64))
(-.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (*.f64 (-.f64 #s(literal 0 binary64) (log.f64 u1)) #s(literal 2 binary64))) (*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))))))) (/.f64 (pow.f64 (*.f64 (sqrt.f64 (*.f64 (-.f64 #s(literal 0 binary64) (log.f64 u1)) #s(literal 2 binary64))) (*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))))) #s(literal 2 binary64)) (-.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (*.f64 (-.f64 #s(literal 0 binary64) (log.f64 u1)) #s(literal 2 binary64))) (*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))))))))
(fma.f64 #s(literal 1/6 binary64) (*.f64 (sqrt.f64 (*.f64 (-.f64 #s(literal 0 binary64) (log.f64 u1)) #s(literal 2 binary64))) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))) #s(literal 1/2 binary64))
(fma.f64 (sqrt.f64 (*.f64 (-.f64 #s(literal 0 binary64) (log.f64 u1)) #s(literal 2 binary64))) (*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))) #s(literal 1/2 binary64))
(fma.f64 (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 (-.f64 #s(literal 0 binary64) (log.f64 u1)) #s(literal 2 binary64)))) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))) #s(literal 1/2 binary64))
(fma.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 (-.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) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))) (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 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))) #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 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))) #s(literal 1/6 binary64) #s(literal 1/2 binary64))
(fma.f64 (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))) (*.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 (sqrt.f64 (*.f64 (-.f64 #s(literal 0 binary64) (log.f64 u1)) #s(literal 2 binary64))) (*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))))) (-.f64 (*.f64 (sqrt.f64 (*.f64 (-.f64 #s(literal 0 binary64) (log.f64 u1)) #s(literal 2 binary64))) (*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))))) #s(literal 1/2 binary64)))) (+.f64 #s(literal 1/8 binary64) (pow.f64 (*.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 #s(literal 2 binary64) (*.f64 (PI.f64) u2))))) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.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 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))))) (-.f64 #s(literal 1/4 binary64) (pow.f64 (*.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 #s(literal 2 binary64) (*.f64 (PI.f64) u2))))) #s(literal 2 binary64)))))
(/.f64 (+.f64 #s(literal 1/8 binary64) (pow.f64 (*.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 #s(literal 2 binary64) (*.f64 (PI.f64) u2))))) #s(literal 3 binary64))) (+.f64 #s(literal 1/4 binary64) (*.f64 (*.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 #s(literal 2 binary64) (*.f64 (PI.f64) u2))))) (-.f64 (*.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 #s(literal 2 binary64) (*.f64 (PI.f64) u2))))) #s(literal 1/2 binary64)))))
(/.f64 (+.f64 #s(literal 1/8 binary64) (pow.f64 (*.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 #s(literal 2 binary64) (*.f64 (PI.f64) u2))))) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.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 #s(literal 2 binary64) (*.f64 (PI.f64) u2))))) #s(literal 2 binary64)) (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/12 binary64) (*.f64 (sqrt.f64 (*.f64 (-.f64 #s(literal 0 binary64) (log.f64 u1)) #s(literal 2 binary64))) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))))))))
(/.f64 (-.f64 #s(literal 1/4 binary64) (pow.f64 (*.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 #s(literal 2 binary64) (*.f64 (PI.f64) u2))))) #s(literal 2 binary64))) (-.f64 #s(literal 1/2 binary64) (*.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 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))))))
(/.f64 (neg.f64 (+.f64 #s(literal 1/8 binary64) (pow.f64 (*.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 #s(literal 2 binary64) (*.f64 (PI.f64) u2))))) #s(literal 3 binary64)))) (neg.f64 (+.f64 #s(literal 1/4 binary64) (*.f64 (*.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 #s(literal 2 binary64) (*.f64 (PI.f64) u2))))) (-.f64 (*.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 #s(literal 2 binary64) (*.f64 (PI.f64) u2))))) #s(literal 1/2 binary64))))))
(/.f64 (neg.f64 (-.f64 #s(literal 1/4 binary64) (pow.f64 (*.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 #s(literal 2 binary64) (*.f64 (PI.f64) u2))))) #s(literal 2 binary64)))) (neg.f64 (-.f64 #s(literal 1/2 binary64) (*.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 #s(literal 2 binary64) (*.f64 (PI.f64) u2))))))))
(/.f64 (-.f64 (pow.f64 (*.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 #s(literal 2 binary64) (*.f64 (PI.f64) u2))))) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (-.f64 (*.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 #s(literal 2 binary64) (*.f64 (PI.f64) u2))))) #s(literal 1/2 binary64)))
(pow.f64 (/.f64 (+.f64 #s(literal 1/4 binary64) (*.f64 (*.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 #s(literal 2 binary64) (*.f64 (PI.f64) u2))))) (-.f64 (*.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 #s(literal 2 binary64) (*.f64 (PI.f64) u2))))) #s(literal 1/2 binary64)))) (+.f64 #s(literal 1/8 binary64) (pow.f64 (*.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 #s(literal 2 binary64) (*.f64 (PI.f64) u2))))) #s(literal 3 binary64)))) #s(literal -1 binary64))
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(/.f64 #s(literal 1/4 binary64) (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal -1/6 binary64))))))
(/.f64 #s(literal -1/4 binary64) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal -1/6 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (-.f64 #s(literal 2 binary64) (/.f64 (pow.f64 (*.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)) #s(literal 1/36 binary64)) #s(literal 1/2 binary64)) #s(literal 1/4 binary64)))))
(pow.f64 (-.f64 #s(literal 2 binary64) (/.f64 (pow.f64 (*.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)) #s(literal 1/36 binary64)) #s(literal 1/2 binary64)) #s(literal 1/4 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 (pow.f64 (*.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)) #s(literal 1/36 binary64)) #s(literal 1/2 binary64)) #s(literal 1/4 binary64))) #s(literal 1 binary64)) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal -1/6 binary64)))))
(*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal -1/6 binary64)))))
(*.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal -1/6 binary64))))))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal -1/6 binary64)))) #s(literal 1/4 binary64))
(*.f64 (/.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)) #s(literal -1/36 binary64)))) (+.f64 #s(literal 1/2 binary64) (pow.f64 (*.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)) #s(literal 1/36 binary64)) #s(literal 1/2 binary64))))
(*.f64 (/.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/8 binary64) (*.f64 (pow.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)) #s(literal 3/2 binary64)) #s(literal -1/216 binary64)))) (+.f64 (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)) #s(literal 1/36 binary64))) (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal 1/12 binary64))))
(*.f64 (PI.f64) u2)
(*.f64 (PI.f64) (*.f64 u2 #s(literal 1 binary64)))
(*.f64 u2 (PI.f64))
(*.f64 (*.f64 (PI.f64) u2) #s(literal 1 binary64))
(*.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))))
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(*.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)))
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(pow.f64 (pow.f64 (*.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)) #s(literal 1/36 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(pow.f64 (*.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)) #s(literal 1/36 binary64)) #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 (pow.f64 (*.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)) #s(literal 1/36 binary64)) #s(literal 1/2 binary64))) #s(literal 2 binary64))
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(*.f64 (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))) (exp.f64 (log.f64 #s(literal 1/6 binary64))))
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(*.f64 (*.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -2 binary64))) (pow.f64 (log.f64 u1) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (sqrt.f64 #s(literal -2 binary64)) #s(literal 1 binary64)) (pow.f64 (*.f64 (pow.f64 (log.f64 u1) #s(literal 1/2 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (*.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)) #s(literal 1/36 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64)) (pow.f64 (sqrt.f64 (pow.f64 (*.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)) #s(literal 1/36 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(*.f64 (pow.f64 (*.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -2 binary64))) #s(literal 1 binary64)) (pow.f64 (pow.f64 (log.f64 u1) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(*.f64 (exp.f64 (log.f64 #s(literal 1/6 binary64))) (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))))

simplify334.0ms (2.9%)

Algorithm
1×egg-herbie
Rules
7014×*-lowering-*.f32
7014×*-lowering-*.f64
3820×+-lowering-+.f64
3820×+-lowering-+.f32
1330×distribute-lft-in
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02975812
19655238
238224963
081804963
Stop Event
1×iter limit
1×node limit
Counts
348 → 348
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))))))))
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(+ 1/2 (* 1/6 (* (sqrt (log u1)) (* (sqrt -1) (sqrt 2)))))
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(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (sqrt 2))) (sqrt (log u1)))))
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(* 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)))))
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(* (sqrt (log u1)) (sqrt -1))
(* (sqrt (log u1)) (sqrt -1))
(* (sqrt (log u1)) (sqrt -1))
(* (sqrt (log u1)) (sqrt -1))
(* (sqrt (log (/ 1 u1))) (pow (sqrt -1) 2))
(* (sqrt (log (/ 1 u1))) (pow (sqrt -1) 2))
(* (sqrt (log (/ 1 u1))) (pow (sqrt -1) 2))
(* (sqrt (log (/ 1 u1))) (pow (sqrt -1) 2))
(* (sqrt -1) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))
(* (sqrt -1) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))
(* (sqrt -1) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))
(* (sqrt -1) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))
(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)))))))
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 #s(literal 1/6 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (log.f64 u1)))))))
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (sqrt 2))) (sqrt (log u1)))))
(+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 u2 (PI.f64)))) (*.f64 #s(literal 1/6 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (log.f64 u1)))))))
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (sqrt 2))) (sqrt (log u1)))))
(+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 u2 (PI.f64)))) (*.f64 #s(literal 1/6 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (log.f64 u1)))))))
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (sqrt 2))) (sqrt (log u1)))))
(+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 u2 (PI.f64)))) (*.f64 #s(literal 1/6 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (log.f64 u1)))))))
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (pow (sqrt -1) 2) (sqrt 2))) (sqrt (log (/ 1 u1))))))
(+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 u2 (PI.f64)))) (*.f64 (*.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (log.f64 u1))) #s(literal -1/6 binary64)) (sqrt.f64 #s(literal 2 binary64)))))
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (pow (sqrt -1) 2) (sqrt 2))) (sqrt (log (/ 1 u1))))))
(+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 u2 (PI.f64)))) (*.f64 (*.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (log.f64 u1))) #s(literal -1/6 binary64)) (sqrt.f64 #s(literal 2 binary64)))))
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (pow (sqrt -1) 2) (sqrt 2))) (sqrt (log (/ 1 u1))))))
(+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 u2 (PI.f64)))) (*.f64 (*.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (log.f64 u1))) #s(literal -1/6 binary64)) (sqrt.f64 #s(literal 2 binary64)))))
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (pow (sqrt -1) 2) (sqrt 2))) (sqrt (log (/ 1 u1))))))
(+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 u2 (PI.f64)))) (*.f64 (*.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (log.f64 u1))) #s(literal -1/6 binary64)) (sqrt.f64 #s(literal 2 binary64)))))
(+ 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 #s(literal 1/6 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 u2 (PI.f64))))) (*.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 -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 #s(literal 1/6 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 u2 (PI.f64))))) (*.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 -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 #s(literal 1/6 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 u2 (PI.f64))))) (*.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 -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 #s(literal 1/6 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 u2 (PI.f64))))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 2 binary64))))))
(+ 1/2 (* 1/6 (* (sqrt (log u1)) (* (sqrt -1) (sqrt 2)))))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (log.f64 u1))))))
(+ 1/2 (+ (* -1/3 (* (* (pow u2 2) (* (pow (PI) 2) (* (sqrt -1) (sqrt 2)))) (sqrt (log u1)))) (* 1/6 (* (sqrt (log u1)) (* (sqrt -1) (sqrt 2))))))
(+.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (log.f64 u1)) (+.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 (*.f64 u2 u2) (PI.f64)) (PI.f64))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 2 binary64)))))))
(+ 1/2 (+ (* 1/6 (* (sqrt (log u1)) (* (sqrt -1) (sqrt 2)))) (* (pow u2 2) (+ (* -1/3 (* (* (pow (PI) 2) (* (sqrt -1) (sqrt 2))) (sqrt (log u1)))) (* 1/9 (* (* (pow u2 2) (* (pow (PI) 4) (* (sqrt -1) (sqrt 2)))) (sqrt (log u1))))))))
(+.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (log.f64 u1)))))) (*.f64 (*.f64 (sqrt.f64 (log.f64 u1)) (*.f64 u2 u2)) (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 2 binary64))) (+.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 (PI.f64) (PI.f64))) (*.f64 u2 (*.f64 u2 (*.f64 #s(literal 1/9 binary64) (pow.f64 (PI.f64) #s(literal 4 binary64)))))))))
(+ 1/2 (+ (* 1/6 (* (sqrt (log u1)) (* (sqrt -1) (sqrt 2)))) (* (pow u2 2) (+ (* -1/3 (* (* (pow (PI) 2) (* (sqrt -1) (sqrt 2))) (sqrt (log u1)))) (* (pow u2 2) (+ (* -2/135 (* (* (pow u2 2) (* (pow (PI) 6) (* (sqrt -1) (sqrt 2)))) (sqrt (log u1)))) (* 1/9 (* (* (pow (PI) 4) (* (sqrt -1) (sqrt 2))) (sqrt (log u1))))))))))
(+.f64 (*.f64 (sqrt.f64 (log.f64 u1)) (+.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 (*.f64 u2 u2) (PI.f64)) (PI.f64))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 2 binary64)))))) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (sqrt.f64 (log.f64 u1)) (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 2 binary64))) (+.f64 (*.f64 (*.f64 u2 u2) (*.f64 (pow.f64 (PI.f64) #s(literal 6 binary64)) #s(literal -2/135 binary64))) (*.f64 #s(literal 1/9 binary64) (pow.f64 (PI.f64) #s(literal 4 binary64)))))) (*.f64 (*.f64 u2 u2) (*.f64 u2 u2)))))
(+ 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 #s(literal 1/6 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (log.f64 u1)))))))
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (sqrt 2))) (sqrt (log u1)))))
(+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 u2 (PI.f64)))) (*.f64 #s(literal 1/6 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (log.f64 u1)))))))
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (sqrt 2))) (sqrt (log u1)))))
(+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 u2 (PI.f64)))) (*.f64 #s(literal 1/6 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (log.f64 u1)))))))
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (sqrt 2))) (sqrt (log u1)))))
(+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 u2 (PI.f64)))) (*.f64 #s(literal 1/6 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (log.f64 u1)))))))
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (sqrt 2))) (sqrt (log u1)))))
(+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 u2 (PI.f64)))) (*.f64 #s(literal 1/6 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (log.f64 u1)))))))
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (sqrt 2))) (sqrt (log u1)))))
(+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 u2 (PI.f64)))) (*.f64 #s(literal 1/6 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (log.f64 u1)))))))
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (sqrt 2))) (sqrt (log u1)))))
(+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 u2 (PI.f64)))) (*.f64 #s(literal 1/6 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (log.f64 u1)))))))
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (sqrt 2))) (sqrt (log u1)))))
(+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 u2 (PI.f64)))) (*.f64 #s(literal 1/6 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (log.f64 u1)))))))
(* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (sqrt 2))) (sqrt (log u1))))
(*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 u2 (PI.f64)))) (*.f64 #s(literal 1/6 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (log.f64 u1))))))
(* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (sqrt 2))) (sqrt (log u1))))
(*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 u2 (PI.f64)))) (*.f64 #s(literal 1/6 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (log.f64 u1))))))
(* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (sqrt 2))) (sqrt (log u1))))
(*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 u2 (PI.f64)))) (*.f64 #s(literal 1/6 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (log.f64 u1))))))
(* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (sqrt 2))) (sqrt (log u1))))
(*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 u2 (PI.f64)))) (*.f64 #s(literal 1/6 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (log.f64 u1))))))
(* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (pow (sqrt -1) 2) (sqrt 2))) (sqrt (log (/ 1 u1)))))
(*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 u2 (PI.f64)))) (*.f64 (*.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (log.f64 u1))) #s(literal -1/6 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 (*.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (log.f64 u1))) #s(literal -1/6 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 (*.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (log.f64 u1))) #s(literal -1/6 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 (*.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (log.f64 u1))) #s(literal -1/6 binary64)) (sqrt.f64 #s(literal 2 binary64))))
(* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (sqrt 2))) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))))
(*.f64 (sqrt.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) u1)))) (*.f64 (*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 u2 (PI.f64))))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 2 binary64)))))
(* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (sqrt 2))) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))))
(*.f64 (sqrt.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) u1)))) (*.f64 (*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 u2 (PI.f64))))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 2 binary64)))))
(* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (sqrt 2))) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))))
(*.f64 (sqrt.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) u1)))) (*.f64 (*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 u2 (PI.f64))))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 2 binary64)))))
(* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (sqrt 2))) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))))
(*.f64 (sqrt.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) u1)))) (*.f64 (*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 u2 (PI.f64))))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 2 binary64)))))
(* 1/6 (* (sqrt (log u1)) (* (sqrt -1) (sqrt 2))))
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(+ (* -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 (sqrt.f64 (log.f64 u1)) (+.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 (*.f64 u2 u2) (PI.f64)) (PI.f64))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 2 binary64))))))
(+ (* 1/6 (* (sqrt (log u1)) (* (sqrt -1) (sqrt 2)))) (* (pow u2 2) (+ (* -1/3 (* (* (pow (PI) 2) (* (sqrt -1) (sqrt 2))) (sqrt (log u1)))) (* 1/9 (* (* (pow u2 2) (* (pow (PI) 4) (* (sqrt -1) (sqrt 2)))) (sqrt (log u1)))))))
(+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (log.f64 u1))))) (*.f64 (*.f64 (sqrt.f64 (log.f64 u1)) (*.f64 u2 u2)) (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 2 binary64))) (+.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 (PI.f64) (PI.f64))) (*.f64 u2 (*.f64 u2 (*.f64 #s(literal 1/9 binary64) (pow.f64 (PI.f64) #s(literal 4 binary64)))))))))
(+ (* 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)))))))))
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(* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (sqrt 2))) (sqrt (log u1))))
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(/.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -2 binary64)))) (sqrt.f64 (-.f64 #s(literal 0 binary64) (log.f64 u1))))))
(/ 1/4 (- 1/2 (* 1/6 (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1))))))
(/.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -2 binary64)))) (sqrt.f64 (-.f64 #s(literal 0 binary64) (log.f64 u1))))))
(/ 1/4 (- 1/2 (* 1/6 (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))))))
(/.f64 #s(literal 1/4 binary64) (+.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 (sqrt.f64 #s(literal -2 binary64)) #s(literal -1/6 binary64)))))
(/ 1/4 (- 1/2 (* 1/6 (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))))))
(/.f64 #s(literal 1/4 binary64) (+.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 (sqrt.f64 #s(literal -2 binary64)) #s(literal -1/6 binary64)))))
(/ 1/4 (- 1/2 (* 1/6 (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))))))
(/.f64 #s(literal 1/4 binary64) (+.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 (sqrt.f64 #s(literal -2 binary64)) #s(literal -1/6 binary64)))))
(/ 1/4 (- 1/2 (* 1/6 (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))))))
(/.f64 #s(literal 1/4 binary64) (+.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 (sqrt.f64 #s(literal -2 binary64)) #s(literal -1/6 binary64)))))
(* u2 (PI))
(*.f64 u2 (PI.f64))
(* u2 (PI))
(*.f64 u2 (PI.f64))
(* u2 (PI))
(*.f64 u2 (PI.f64))
(* u2 (PI))
(*.f64 u2 (PI.f64))
(* u2 (PI))
(*.f64 u2 (PI.f64))
(* u2 (PI))
(*.f64 u2 (PI.f64))
(* u2 (PI))
(*.f64 u2 (PI.f64))
(* u2 (PI))
(*.f64 u2 (PI.f64))
(* u2 (PI))
(*.f64 u2 (PI.f64))
(* u2 (PI))
(*.f64 u2 (PI.f64))
(* u2 (PI))
(*.f64 u2 (PI.f64))
(* u2 (PI))
(*.f64 u2 (PI.f64))
(* (sqrt (log u1)) (sqrt -1))
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (log.f64 u1)))
(* (sqrt (log u1)) (sqrt -1))
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (log.f64 u1)))
(* (sqrt (log u1)) (sqrt -1))
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (log.f64 u1)))
(* (sqrt (log u1)) (sqrt -1))
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (log.f64 u1)))
(* (sqrt (log (/ 1 u1))) (pow (sqrt -1) 2))
(neg.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (log.f64 u1))))
(* (sqrt (log (/ 1 u1))) (pow (sqrt -1) 2))
(neg.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (log.f64 u1))))
(* (sqrt (log (/ 1 u1))) (pow (sqrt -1) 2))
(neg.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (log.f64 u1))))
(* (sqrt (log (/ 1 u1))) (pow (sqrt -1) 2))
(neg.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (log.f64 u1))))
(* (sqrt -1) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) u1)))))
(* (sqrt -1) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) u1)))))
(* (sqrt -1) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) u1)))))
(* (sqrt -1) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) u1)))))
(log u1)
(log.f64 u1)
(log u1)
(log.f64 u1)
(log u1)
(log.f64 u1)
(log u1)
(log.f64 u1)
(* -1 (log (/ 1 u1)))
(log.f64 u1)
(* -1 (log (/ 1 u1)))
(log.f64 u1)
(* -1 (log (/ 1 u1)))
(log.f64 u1)
(* -1 (log (/ 1 u1)))
(log.f64 u1)
(+ (log -1) (* -1 (log (/ -1 u1))))
(-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) u1)))
(+ (log -1) (* -1 (log (/ -1 u1))))
(-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) u1)))
(+ (log -1) (* -1 (log (/ -1 u1))))
(-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) u1)))
(+ (log -1) (* -1 (log (/ -1 u1))))
(-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) u1)))
(* 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 (*.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (log.f64 u1))) (sqrt.f64 #s(literal -2 binary64))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 1/6 binary64)))
(* 1/6 (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1))))
(*.f64 (*.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (log.f64 u1))) (sqrt.f64 #s(literal -2 binary64))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 1/6 binary64)))
(* 1/6 (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1))))
(*.f64 (*.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (log.f64 u1))) (sqrt.f64 #s(literal -2 binary64))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 1/6 binary64)))
(* 1/6 (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1))))
(*.f64 (*.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (log.f64 u1))) (sqrt.f64 #s(literal -2 binary64))) (*.f64 (sqrt.f64 #s(literal -1 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 #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))))

eval287.0ms (2.5%)

Compiler

Compiled 57083 to 2699 computations (95.3% saved)

prune148.0ms (1.3%)

Pruning

12 alts after pruning (9 fresh and 3 done)

PrunedKeptTotal
New160581613
Fresh13114
Picked325
Done011
Total1621121633
Accuracy
100.0%
Counts
1633 → 12
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))
98.1%
(/.f64 (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)) #s(literal -1/36 binary64))) (+.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal -1/6 binary64))))
▶98.0%
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal -1/6 binary64))) (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)) #s(literal -1/36 binary64)))))
▶98.4%
(+.f64 (pow.f64 (*.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)) #s(literal 1/36 binary64)) #s(literal 1/2 binary64)) #s(literal 1/2 binary64))
98.0%
(+.f64 (*.f64 (pow.f64 (pow.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)) #s(literal 1/4 binary64)) #s(literal 2 binary64)) #s(literal 1/6 binary64)) #s(literal 1/2 binary64))
97.9%
(+.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))
98.8%
(+.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (*.f64 #s(literal 1/6 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 u2 u2) (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal -2 binary64))))))) #s(literal 1/2 binary64))
✓98.2%
(+.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal 1/6 binary64)) #s(literal 1/2 binary64))
▶97.8%
(+.f64 (*.f64 (exp.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))))) #s(literal 1/6 binary64)) #s(literal 1/2 binary64))
▶98.3%
(+.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)))) #s(literal 1 binary64)))
▶99.5%
(+.f64 #s(literal 1/2 binary64) (*.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 #s(literal 2 binary64) (*.f64 (PI.f64) u2))))))
✓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 356 to 301 computations (15.4% saved)

simplify30.0ms (0.3%)

Algorithm
1×egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
✓cost-diff64
(/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal -1/6 binary64))) (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)) #s(literal -1/36 binary64))))
✓cost-diff128
(*.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)) #s(literal -1/36 binary64))
✓cost-diff128
(+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)) #s(literal -1/36 binary64)))
✓cost-diff192
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal -1/6 binary64))) (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)) #s(literal -1/36 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-diff128
(*.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (log.f64 u1))) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 1 binary64))
✓cost-diff128
(+.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)))) #s(literal 1 binary64)))
✓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 (exp.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))))) #s(literal 1/6 binary64))
✓cost-diff6464
(+.f64 (*.f64 (exp.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))))) #s(literal 1/6 binary64)) #s(literal 1/2 binary64))
✓cost-diff0
(*.f64 (log.f64 u1) #s(literal -2 binary64))
✓cost-diff128
(*.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)) #s(literal 1/36 binary64))
✓cost-diff128
(pow.f64 (*.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)) #s(literal 1/36 binary64)) #s(literal 1/2 binary64))
✓cost-diff128
(+.f64 (pow.f64 (*.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)) #s(literal 1/36 binary64)) #s(literal 1/2 binary64)) #s(literal 1/2 binary64))
✓cost-diff0
(sqrt.f64 (-.f64 #s(literal 0 binary64) (log.f64 u1)))
✓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)))) (*.f64 (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) (sqrt.f64 (-.f64 #s(literal 0 binary64) (log.f64 u1)))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))))))
Rules
494×fma-define
388×*-lowering-*.f32
388×*-lowering-*.f64
272×fma-lowering-fma.f32
272×fma-lowering-fma.f64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
044291
191275
2183270
3337270
4471270
5591270
6826270
7893270
8915270
0915270
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))))
1/6
(sqrt (- 0 (log u1)))
(- 0 (log u1))
0
(log u1)
u1
(* (sqrt 2) (cos (* 2 (* (PI) u2))))
(sqrt 2)
2
(cos (* 2 (* (PI) u2)))
(* 2 (* (PI) u2))
(* (PI) u2)
(PI)
u2
(+ (pow (* (* (log u1) -2) 1/36) 1/2) 1/2)
(pow (* (* (log u1) -2) 1/36) 1/2)
(* (* (log u1) -2) 1/36)
(* (log u1) -2)
(log u1)
u1
-2
1/36
1/2
(+ (* (exp (* 1/2 (log (* (log u1) -2)))) 1/6) 1/2)
(* (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
(+ 1/2 (* (* 1/6 (* (sqrt (- 0 (log u1))) (sqrt 2))) 1))
1/2
(* (* 1/6 (* (sqrt (- 0 (log u1))) (sqrt 2))) 1)
(* 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
1
(/ 1 (/ (+ 1/2 (* (sqrt (* (log u1) -2)) -1/6)) (+ 1/4 (* (* (log u1) -2) -1/36))))
1
(/ (+ 1/2 (* (sqrt (* (log u1) -2)) -1/6)) (+ 1/4 (* (* (log u1) -2) -1/36)))
(+ 1/2 (* (sqrt (* (log u1) -2)) -1/6))
1/2
(* (sqrt (* (log u1) -2)) -1/6)
(sqrt (* (log u1) -2))
(* (log u1) -2)
(log u1)
u1
-2
-1/6
(+ 1/4 (* (* (log u1) -2) -1/36))
1/4
(* (* (log u1) -2) -1/36)
-1/36
Outputs
(+ 1/2 (* (* 1/6 (sqrt (- 0 (log u1)))) (* (sqrt 2) (cos (* 2 (* (PI) u2))))))
(+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (-.f64 #s(literal 0 binary64) (log.f64 u1)))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 (*.f64 (PI.f64) (*.f64 #s(literal 2 binary64) u2))))))
1/2
#s(literal 1/2 binary64)
(* (* 1/6 (sqrt (- 0 (log u1)))) (* (sqrt 2) (cos (* 2 (* (PI) u2)))))
(*.f64 (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (-.f64 #s(literal 0 binary64) (log.f64 u1)))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 (*.f64 (PI.f64) (*.f64 #s(literal 2 binary64) u2)))))
(* 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) (cos (* 2 (* (PI) u2))))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 (*.f64 (PI.f64) (*.f64 #s(literal 2 binary64) u2))))
(sqrt 2)
(sqrt.f64 #s(literal 2 binary64))
2
#s(literal 2 binary64)
(cos (* 2 (* (PI) u2)))
(cos.f64 (*.f64 (PI.f64) (*.f64 #s(literal 2 binary64) u2)))
(* 2 (* (PI) u2))
(*.f64 (PI.f64) (*.f64 #s(literal 2 binary64) u2))
(* (PI) u2)
(*.f64 (PI.f64) u2)
(PI)
(PI.f64)
u2
(+ (pow (* (* (log u1) -2) 1/36) 1/2) 1/2)
(+.f64 #s(literal 1/2 binary64) (pow.f64 (*.f64 (log.f64 u1) #s(literal -1/18 binary64)) #s(literal 1/2 binary64)))
(pow (* (* (log u1) -2) 1/36) 1/2)
(pow.f64 (*.f64 (log.f64 u1) #s(literal -1/18 binary64)) #s(literal 1/2 binary64))
(* (* (log u1) -2) 1/36)
(*.f64 (log.f64 u1) #s(literal -1/18 binary64))
(* (log u1) -2)
(*.f64 (log.f64 u1) #s(literal -2 binary64))
(log u1)
(log.f64 u1)
u1
-2
#s(literal -2 binary64)
1/36
#s(literal 1/36 binary64)
1/2
#s(literal 1/2 binary64)
(+ (* (exp (* 1/2 (log (* (log u1) -2)))) 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))))
(* (exp (* 1/2 (log (* (log u1) -2)))) 1/6)
(*.f64 #s(literal 1/6 binary64) (pow.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)) #s(literal 1/2 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
#s(literal 1/6 binary64)
(+ 1/2 (* (* 1/6 (* (sqrt (- 0 (log u1))) (sqrt 2))) 1))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (log.f64 u1))) (sqrt.f64 #s(literal 2 binary64)))))
1/2
#s(literal 1/2 binary64)
(* (* 1/6 (* (sqrt (- 0 (log u1))) (sqrt 2))) 1)
(*.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))) (sqrt 2)))
(*.f64 #s(literal 1/6 binary64) (*.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (log.f64 u1))) (sqrt.f64 #s(literal 2 binary64))))
1/6
#s(literal 1/6 binary64)
(* (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)
1
#s(literal 1 binary64)
(/ 1 (/ (+ 1/2 (* (sqrt (* (log u1) -2)) -1/6)) (+ 1/4 (* (* (log u1) -2) -1/36))))
(/.f64 (+.f64 #s(literal 1/4 binary64) (*.f64 (log.f64 u1) #s(literal 1/18 binary64))) (+.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)) #s(literal 1/2 binary64)) #s(literal -1/6 binary64))))
1
#s(literal 1 binary64)
(/ (+ 1/2 (* (sqrt (* (log u1) -2)) -1/6)) (+ 1/4 (* (* (log u1) -2) -1/36)))
(/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)) #s(literal 1/2 binary64)) #s(literal -1/6 binary64))) (+.f64 #s(literal 1/4 binary64) (*.f64 (log.f64 u1) #s(literal 1/18 binary64))))
(+ 1/2 (* (sqrt (* (log u1) -2)) -1/6))
(+.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)) #s(literal 1/2 binary64)) #s(literal -1/6 binary64)))
1/2
#s(literal 1/2 binary64)
(* (sqrt (* (log u1) -2)) -1/6)
(*.f64 (pow.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)) #s(literal 1/2 binary64)) #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))
(log u1)
(log.f64 u1)
u1
-2
#s(literal -2 binary64)
-1/6
#s(literal -1/6 binary64)
(+ 1/4 (* (* (log u1) -2) -1/36))
(+.f64 #s(literal 1/4 binary64) (*.f64 (log.f64 u1) #s(literal 1/18 binary64)))
1/4
#s(literal 1/4 binary64)
(* (* (log u1) -2) -1/36)
(*.f64 (log.f64 u1) #s(literal 1/18 binary64))
-1/36
#s(literal -1/36 binary64)

localize279.0ms (2.5%)

Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
✓accuracy99.5%
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal -1/6 binary64))) (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)) #s(literal -1/36 binary64)))))
✓accuracy99.5%
(/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal -1/6 binary64))) (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)) #s(literal -1/36 binary64))))
✓accuracy99.4%
(*.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)) #s(literal -1/36 binary64))
✓accuracy99.4%
(*.f64 (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal -1/6 binary64))
✓accuracy99.9%
(+.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)))) #s(literal 1 binary64)))
✓accuracy99.8%
(sqrt.f64 (-.f64 #s(literal 0 binary64) (log.f64 u1)))
✓accuracy99.4%
(*.f64 #s(literal 1/6 binary64) (*.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (log.f64 u1))) (sqrt.f64 #s(literal 2 binary64))))
✓accuracy99.3%
(*.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (log.f64 u1))) (sqrt.f64 #s(literal 2 binary64)))
✓accuracy99.9%
(log.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)))
✓accuracy99.9%
(+.f64 (*.f64 (exp.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))))) #s(literal 1/6 binary64)) #s(literal 1/2 binary64))
✓accuracy99.4%
(*.f64 (exp.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))))) #s(literal 1/6 binary64))
✓accuracy99.0%
(exp.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)))))
✓accuracy100.0%
(log.f64 u1)
✓accuracy99.9%
(+.f64 (pow.f64 (*.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)) #s(literal 1/36 binary64)) #s(literal 1/2 binary64)) #s(literal 1/2 binary64))
✓accuracy99.7%
(pow.f64 (*.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)) #s(literal 1/36 binary64)) #s(literal 1/2 binary64))
✓accuracy99.4%
(*.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)) #s(literal 1/36 binary64))
✓accuracy99.8%
(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)))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))))
Results
198.0ms256×0valid
Compiler

Compiled 324 to 45 computations (86.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 86.0ms
ival-mult: 26.0ms (30.4% of total)
...c/correct-round.rkt:119:19: 16.0ms (18.7% of total)
ival-add: 8.0ms (9.4% of total)
ival-log: 7.0ms (8.2% of total)
ival-pow: 7.0ms (8.2% of total)
ival-cos: 6.0ms (7% of total)
ival-sqrt: 6.0ms (7% of total)
ival-div: 4.0ms (4.7% of total)
ival-exp: 3.0ms (3.5% of total)
ival-sub: 2.0ms (2.3% of total)
ival-pi: 1.0ms (1.2% of total)
const: 1.0ms (1.2% of total)
backward-pass: 0.0ms (0% of total)

series68.0ms (0.6%)

Counts
24 → 312
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))))>
#<alt (sqrt (- 0 (log u1)))>
#<alt (+ (pow (* (* (log u1) -2) 1/36) 1/2) 1/2)>
#<alt (pow (* (* (log u1) -2) 1/36) 1/2)>
#<alt (* (* (log u1) -2) 1/36)>
#<alt (* (log u1) -2)>
#<alt (+ (* (exp (* 1/2 (log (* (log u1) -2)))) 1/6) 1/2)>
#<alt (* (exp (* 1/2 (log (* (log u1) -2)))) 1/6)>
#<alt (exp (* 1/2 (log (* (log u1) -2))))>
#<alt (* 1/2 (log (* (log u1) -2)))>
#<alt (+ 1/2 (* (* 1/6 (* (sqrt (- 0 (log u1))) (sqrt 2))) 1))>
#<alt (* (* 1/6 (* (sqrt (- 0 (log u1))) (sqrt 2))) 1)>
#<alt (* 1/6 (* (sqrt (- 0 (log u1))) (sqrt 2)))>
#<alt (* (sqrt (- 0 (log u1))) (sqrt 2))>
#<alt (/ 1 (/ (+ 1/2 (* (sqrt (* (log u1) -2)) -1/6)) (+ 1/4 (* (* (log u1) -2) -1/36))))>
#<alt (+ 1/4 (* (* (log u1) -2) -1/36))>
#<alt (* (* (log u1) -2) -1/36)>
#<alt (/ (+ 1/2 (* (sqrt (* (log u1) -2)) -1/6)) (+ 1/4 (* (* (log u1) -2) -1/36)))>
#<alt (* (PI) u2)>
#<alt (log u1)>
#<alt (log (* (log u1) -2))>
#<alt (* (sqrt (* (log u1) -2)) -1/6)>
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)))>
#<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 (* (sqrt (log u1)) (sqrt -1))>
#<alt (* (sqrt (log u1)) (sqrt -1))>
#<alt (* (sqrt (log u1)) (sqrt -1))>
#<alt (* (sqrt (log u1)) (sqrt -1))>
#<alt (* (sqrt (log (/ 1 u1))) (pow (sqrt -1) 2))>
#<alt (* (sqrt (log (/ 1 u1))) (pow (sqrt -1) 2))>
#<alt (* (sqrt (log (/ 1 u1))) (pow (sqrt -1) 2))>
#<alt (* (sqrt (log (/ 1 u1))) (pow (sqrt -1) 2))>
#<alt (* (sqrt -1) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))>
#<alt (* (sqrt -1) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))>
#<alt (* (sqrt -1) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))>
#<alt (* (sqrt -1) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))>
#<alt (+ 1/2 (* (sqrt (log u1)) (sqrt -1/18)))>
#<alt (+ 1/2 (* (sqrt (log u1)) (sqrt -1/18)))>
#<alt (+ 1/2 (* (sqrt (log u1)) (sqrt -1/18)))>
#<alt (+ 1/2 (* (sqrt (log u1)) (sqrt -1/18)))>
#<alt (+ 1/2 (* (sqrt (log (/ 1 u1))) (sqrt 1/18)))>
#<alt (+ 1/2 (* (sqrt (log (/ 1 u1))) (sqrt 1/18)))>
#<alt (+ 1/2 (* (sqrt (log (/ 1 u1))) (sqrt 1/18)))>
#<alt (+ 1/2 (* (sqrt (log (/ 1 u1))) (sqrt 1/18)))>
#<alt (+ 1/2 (* (sqrt -1/18) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))))>
#<alt (+ 1/2 (* (sqrt -1/18) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))))>
#<alt (+ 1/2 (* (sqrt -1/18) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))))>
#<alt (+ 1/2 (* (sqrt -1/18) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))))>
#<alt (* (sqrt (log u1)) (sqrt -1/18))>
#<alt (* (sqrt (log u1)) (sqrt -1/18))>
#<alt (* (sqrt (log u1)) (sqrt -1/18))>
#<alt (* (sqrt (log u1)) (sqrt -1/18))>
#<alt (* (sqrt (log (/ 1 u1))) (sqrt 1/18))>
#<alt (* (sqrt (log (/ 1 u1))) (sqrt 1/18))>
#<alt (* (sqrt (log (/ 1 u1))) (sqrt 1/18))>
#<alt (* (sqrt (log (/ 1 u1))) (sqrt 1/18))>
#<alt (* (sqrt -1/18) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))>
#<alt (* (sqrt -1/18) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))>
#<alt (* (sqrt -1/18) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))>
#<alt (* (sqrt -1/18) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))>
#<alt (* -1/18 (log u1))>
#<alt (* -1/18 (log u1))>
#<alt (* -1/18 (log u1))>
#<alt (* -1/18 (log u1))>
#<alt (* 1/18 (log (/ 1 u1)))>
#<alt (* 1/18 (log (/ 1 u1)))>
#<alt (* 1/18 (log (/ 1 u1)))>
#<alt (* 1/18 (log (/ 1 u1)))>
#<alt (* -1/18 (+ (log -1) (* -1 (log (/ -1 u1)))))>
#<alt (* -1/18 (+ (log -1) (* -1 (log (/ -1 u1)))))>
#<alt (* -1/18 (+ (log -1) (* -1 (log (/ -1 u1)))))>
#<alt (* -1/18 (+ (log -1) (* -1 (log (/ -1 u1)))))>
#<alt (* -2 (log u1))>
#<alt (* -2 (log u1))>
#<alt (* -2 (log u1))>
#<alt (* -2 (log u1))>
#<alt (* 2 (log (/ 1 u1)))>
#<alt (* 2 (log (/ 1 u1)))>
#<alt (* 2 (log (/ 1 u1)))>
#<alt (* 2 (log (/ 1 u1)))>
#<alt (* -2 (+ (log -1) (* -1 (log (/ -1 u1)))))>
#<alt (* -2 (+ (log -1) (* -1 (log (/ -1 u1)))))>
#<alt (* -2 (+ (log -1) (* -1 (log (/ -1 u1)))))>
#<alt (* -2 (+ (log -1) (* -1 (log (/ -1 u1)))))>
#<alt (+ 1/2 (* 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 (+ 1/2 (* 1/6 (* (sqrt (log u1)) (* (sqrt -1) (sqrt 2)))))>
#<alt (+ 1/2 (* 1/6 (* (sqrt (log u1)) (* (sqrt -1) (sqrt 2)))))>
#<alt (+ 1/2 (* 1/6 (* (sqrt (log u1)) (* (sqrt -1) (sqrt 2)))))>
#<alt (+ 1/2 (* 1/6 (* (sqrt (log u1)) (* (sqrt -1) (sqrt 2)))))>
#<alt (+ 1/2 (* 1/6 (* (sqrt (log (/ 1 u1))) (* (pow (sqrt -1) 2) (sqrt 2)))))>
#<alt (+ 1/2 (* 1/6 (* (sqrt (log (/ 1 u1))) (* (pow (sqrt -1) 2) (sqrt 2)))))>
#<alt (+ 1/2 (* 1/6 (* (sqrt (log (/ 1 u1))) (* (pow (sqrt -1) 2) (sqrt 2)))))>
#<alt (+ 1/2 (* 1/6 (* (sqrt (log (/ 1 u1))) (* (pow (sqrt -1) 2) (sqrt 2)))))>
#<alt (+ 1/2 (* 1/6 (* (* (sqrt -1) (sqrt 2)) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))))>
#<alt (+ 1/2 (* 1/6 (* (* (sqrt -1) (sqrt 2)) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))))>
#<alt (+ 1/2 (* 1/6 (* (* (sqrt -1) (sqrt 2)) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))))>
#<alt (+ 1/2 (* 1/6 (* (* (sqrt -1) (sqrt 2)) (sqrt (+ (log -1) (* -1 (log (/ -1 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) (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 (* (sqrt (log u1)) (* (sqrt -1) (sqrt 2)))>
#<alt (* (sqrt (log u1)) (* (sqrt -1) (sqrt 2)))>
#<alt (* (sqrt (log u1)) (* (sqrt -1) (sqrt 2)))>
#<alt (* (sqrt (log u1)) (* (sqrt -1) (sqrt 2)))>
#<alt (* (sqrt (log (/ 1 u1))) (* (pow (sqrt -1) 2) (sqrt 2)))>
#<alt (* (sqrt (log (/ 1 u1))) (* (pow (sqrt -1) 2) (sqrt 2)))>
#<alt (* (sqrt (log (/ 1 u1))) (* (pow (sqrt -1) 2) (sqrt 2)))>
#<alt (* (sqrt (log (/ 1 u1))) (* (pow (sqrt -1) 2) (sqrt 2)))>
#<alt (* (* (sqrt -1) (sqrt 2)) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))>
#<alt (* (* (sqrt -1) (sqrt 2)) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))>
#<alt (* (* (sqrt -1) (sqrt 2)) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))>
#<alt (* (* (sqrt -1) (sqrt 2)) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))>
#<alt (/ (+ 1/4 (* 1/18 (log u1))) (+ 1/2 (* -1/6 (* (sqrt (log u1)) (sqrt -2)))))>
#<alt (/ (+ 1/4 (* 1/18 (log u1))) (+ 1/2 (* -1/6 (* (sqrt (log u1)) (sqrt -2)))))>
#<alt (/ (+ 1/4 (* 1/18 (log u1))) (+ 1/2 (* -1/6 (* (sqrt (log u1)) (sqrt -2)))))>
#<alt (/ (+ 1/4 (* 1/18 (log u1))) (+ 1/2 (* -1/6 (* (sqrt (log u1)) (sqrt -2)))))>
#<alt (/ (+ 1/4 (* -1/18 (log (/ 1 u1)))) (+ 1/2 (* -1/6 (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1))))))>
#<alt (/ (+ 1/4 (* -1/18 (log (/ 1 u1)))) (+ 1/2 (* -1/6 (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1))))))>
#<alt (/ (+ 1/4 (* -1/18 (log (/ 1 u1)))) (+ 1/2 (* -1/6 (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1))))))>
#<alt (/ (+ 1/4 (* -1/18 (log (/ 1 u1)))) (+ 1/2 (* -1/6 (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1))))))>
#<alt (/ (+ 1/4 (* 1/18 (+ (log -1) (* -1 (log (/ -1 u1)))))) (+ 1/2 (* -1/6 (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))))))>
#<alt (/ (+ 1/4 (* 1/18 (+ (log -1) (* -1 (log (/ -1 u1)))))) (+ 1/2 (* -1/6 (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))))))>
#<alt (/ (+ 1/4 (* 1/18 (+ (log -1) (* -1 (log (/ -1 u1)))))) (+ 1/2 (* -1/6 (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))))))>
#<alt (/ (+ 1/4 (* 1/18 (+ (log -1) (* -1 (log (/ -1 u1)))))) (+ 1/2 (* -1/6 (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))))))>
#<alt (+ 1/4 (* 1/18 (log u1)))>
#<alt (+ 1/4 (* 1/18 (log u1)))>
#<alt (+ 1/4 (* 1/18 (log u1)))>
#<alt (+ 1/4 (* 1/18 (log u1)))>
#<alt (+ 1/4 (* -1/18 (log (/ 1 u1))))>
#<alt (+ 1/4 (* -1/18 (log (/ 1 u1))))>
#<alt (+ 1/4 (* -1/18 (log (/ 1 u1))))>
#<alt (+ 1/4 (* -1/18 (log (/ 1 u1))))>
#<alt (+ 1/4 (* 1/18 (+ (log -1) (* -1 (log (/ -1 u1))))))>
#<alt (+ 1/4 (* 1/18 (+ (log -1) (* -1 (log (/ -1 u1))))))>
#<alt (+ 1/4 (* 1/18 (+ (log -1) (* -1 (log (/ -1 u1))))))>
#<alt (+ 1/4 (* 1/18 (+ (log -1) (* -1 (log (/ -1 u1))))))>
#<alt (* 1/18 (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)))) (+ 1/4 (* 1/18 (log u1))))>
#<alt (/ (+ 1/2 (* -1/6 (* (sqrt (log u1)) (sqrt -2)))) (+ 1/4 (* 1/18 (log u1))))>
#<alt (/ (+ 1/2 (* -1/6 (* (sqrt (log u1)) (sqrt -2)))) (+ 1/4 (* 1/18 (log u1))))>
#<alt (/ (+ 1/2 (* -1/6 (* (sqrt (log u1)) (sqrt -2)))) (+ 1/4 (* 1/18 (log u1))))>
#<alt (/ (+ 1/2 (* -1/6 (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1))))) (+ 1/4 (* -1/18 (log (/ 1 u1)))))>
#<alt (/ (+ 1/2 (* -1/6 (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1))))) (+ 1/4 (* -1/18 (log (/ 1 u1)))))>
#<alt (/ (+ 1/2 (* -1/6 (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1))))) (+ 1/4 (* -1/18 (log (/ 1 u1)))))>
#<alt (/ (+ 1/2 (* -1/6 (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1))))) (+ 1/4 (* -1/18 (log (/ 1 u1)))))>
#<alt (/ (+ 1/2 (* -1/6 (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))))) (+ 1/4 (* 1/18 (+ (log -1) (* -1 (log (/ -1 u1)))))))>
#<alt (/ (+ 1/2 (* -1/6 (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))))) (+ 1/4 (* 1/18 (+ (log -1) (* -1 (log (/ -1 u1)))))))>
#<alt (/ (+ 1/2 (* -1/6 (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))))) (+ 1/4 (* 1/18 (+ (log -1) (* -1 (log (/ -1 u1)))))))>
#<alt (/ (+ 1/2 (* -1/6 (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))))) (+ 1/4 (* 1/18 (+ (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 (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 (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 (* (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)))))))>
Calls

78 calls:

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

rewrite392.0ms (3.4%)

Algorithm
1×batch-egg-rewrite
Rules
4394×*-lowering-*.f32
4394×*-lowering-*.f64
2982×/-lowering-/.f32
2982×/-lowering-/.f64
1784×+-lowering-+.f64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
044181
1229170
21722170
09231170
Stop Event
1×iter limit
1×node limit
Counts
24 → 758
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 (- 0 (log u1)))
(+ (pow (* (* (log u1) -2) 1/36) 1/2) 1/2)
(pow (* (* (log u1) -2) 1/36) 1/2)
(* (* (log u1) -2) 1/36)
(* (log u1) -2)
(+ (* (exp (* 1/2 (log (* (log u1) -2)))) 1/6) 1/2)
(* (exp (* 1/2 (log (* (log u1) -2)))) 1/6)
(exp (* 1/2 (log (* (log u1) -2))))
(* 1/2 (log (* (log u1) -2)))
(+ 1/2 (* (* 1/6 (* (sqrt (- 0 (log u1))) (sqrt 2))) 1))
(* (* 1/6 (* (sqrt (- 0 (log u1))) (sqrt 2))) 1)
(* 1/6 (* (sqrt (- 0 (log u1))) (sqrt 2)))
(* (sqrt (- 0 (log u1))) (sqrt 2))
(/ 1 (/ (+ 1/2 (* (sqrt (* (log u1) -2)) -1/6)) (+ 1/4 (* (* (log u1) -2) -1/36))))
(+ 1/4 (* (* (log u1) -2) -1/36))
(* (* (log u1) -2) -1/36)
(/ (+ 1/2 (* (sqrt (* (log u1) -2)) -1/6)) (+ 1/4 (* (* (log u1) -2) -1/36)))
(* (PI) u2)
(log u1)
(log (* (log u1) -2))
(* (sqrt (* (log u1) -2)) -1/6)
Outputs
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 (sqrt.f64 (neg.f64 (*.f64 (log.f64 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 (neg.f64 (*.f64 (log.f64 u1) #s(literal 2 binary64)))) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))))) #s(literal 1/2 binary64))
(-.f64 (/.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 (sqrt.f64 (neg.f64 (*.f64 (log.f64 u1) #s(literal 2 binary64)))) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))))))) (/.f64 (*.f64 (*.f64 #s(literal 1/36 binary64) (neg.f64 (*.f64 (log.f64 u1) #s(literal 2 binary64)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))))))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 (sqrt.f64 (neg.f64 (*.f64 (log.f64 u1) #s(literal 2 binary64)))) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))))))))
(-.f64 (/.f64 (*.f64 (*.f64 #s(literal 1/36 binary64) (neg.f64 (*.f64 (log.f64 u1) #s(literal 2 binary64)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))))))) (-.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 (sqrt.f64 (neg.f64 (*.f64 (log.f64 u1) #s(literal 2 binary64)))) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))))) #s(literal 1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (-.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 (sqrt.f64 (neg.f64 (*.f64 (log.f64 u1) #s(literal 2 binary64)))) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))))) #s(literal 1/2 binary64))))
(fma.f64 #s(literal 1/6 binary64) (*.f64 (sqrt.f64 (neg.f64 (*.f64 (log.f64 u1) #s(literal 2 binary64)))) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))) #s(literal 1/2 binary64))
(fma.f64 (pow.f64 (-.f64 #s(literal 0 binary64) (log.f64 u1)) #s(literal 1/2 binary64)) (*.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))
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(*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal -1/6 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/4 binary64) (*.f64 (log.f64 u1) #s(literal 1/18 binary64)))))
(*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal -1/6 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/4 binary64) (*.f64 (log.f64 u1) #s(literal 1/18 binary64)))) #s(literal 1 binary64)))
(*.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal -1/6 binary64))) (+.f64 #s(literal 1/4 binary64) (*.f64 (log.f64 u1) #s(literal 1/18 binary64)))) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal -1/6 binary64))) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1/4 binary64) (*.f64 (log.f64 u1) #s(literal 1/18 binary64))))))
(*.f64 #s(literal -1 binary64) (pow.f64 (/.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal -1/6 binary64))) (+.f64 #s(literal 1/4 binary64) (*.f64 (log.f64 u1) #s(literal 1/18 binary64))))) #s(literal -1 binary64)))
(*.f64 (+.f64 (neg.f64 (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal -1/6 binary64))) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1/4 binary64) (*.f64 (log.f64 u1) #s(literal 1/18 binary64))))))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/4 binary64) (*.f64 (log.f64 u1) #s(literal 1/18 binary64)))) (+.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal -1/6 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/4 binary64) (*.f64 (log.f64 u1) #s(literal 1/18 binary64)))) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal -1/6 binary64)))) #s(literal -1 binary64)))
(*.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal -1/6 binary64))) (+.f64 #s(literal 1/64 binary64) (pow.f64 (*.f64 (log.f64 u1) #s(literal 1/18 binary64)) #s(literal 3 binary64)))) (+.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 (log.f64 u1) #s(literal 1/18 binary64)) (-.f64 (*.f64 (log.f64 u1) #s(literal 1/18 binary64)) #s(literal 1/4 binary64)))))
(*.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal -1/6 binary64))) (+.f64 #s(literal 1/64 binary64) (pow.f64 (*.f64 (log.f64 u1) #s(literal 1/18 binary64)) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 (log.f64 u1) #s(literal 1/18 binary64)) (-.f64 (*.f64 (log.f64 u1) #s(literal 1/18 binary64)) #s(literal 1/4 binary64)))))))
(*.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal -1/6 binary64))) (-.f64 #s(literal 1/16 binary64) (pow.f64 (*.f64 (log.f64 u1) #s(literal 1/18 binary64)) #s(literal 2 binary64)))) (+.f64 #s(literal 1/4 binary64) (*.f64 (log.f64 u1) #s(literal -1/18 binary64))))
(*.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal -1/6 binary64))) (-.f64 #s(literal 1/16 binary64) (pow.f64 (*.f64 (log.f64 u1) #s(literal 1/18 binary64)) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/4 binary64) (*.f64 (log.f64 u1) #s(literal -1/18 binary64))))))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal -1/6 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/4 binary64) (*.f64 (log.f64 u1) #s(literal 1/18 binary64)))))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal -1/6 binary64)))) #s(literal -1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/4 binary64) (*.f64 (log.f64 u1) #s(literal 1/18 binary64))))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (pow.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal -1/6 binary64))) (+.f64 #s(literal 1/4 binary64) (*.f64 (log.f64 u1) #s(literal 1/18 binary64)))) #s(literal -1/2 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal -1/6 binary64))) (+.f64 #s(literal 1/4 binary64) (*.f64 (log.f64 u1) #s(literal 1/18 binary64)))) #s(literal -1/2 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (neg.f64 (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal -1/6 binary64))) #s(literal -1/2 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1/4 binary64) (*.f64 (log.f64 u1) #s(literal 1/18 binary64))))))
(*.f64 (pow.f64 (/.f64 (+.f64 #s(literal 1/4 binary64) (*.f64 (log.f64 u1) #s(literal 1/18 binary64))) (+.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 (log.f64 u1) #s(literal -1/18 binary64)) #s(literal 3/2 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (+.f64 #s(literal 1/4 binary64) (*.f64 (log.f64 u1) #s(literal -1/18 binary64))) (*.f64 #s(literal -1/12 binary64) (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)))))))
(*.f64 (pow.f64 (/.f64 (+.f64 #s(literal 1/4 binary64) (*.f64 (log.f64 u1) #s(literal 1/18 binary64))) (-.f64 #s(literal 1/4 binary64) (*.f64 (log.f64 u1) #s(literal -1/18 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -1/18 binary64))))))
(*.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) (pow.f64 (*.f64 (log.f64 u1) #s(literal 1/18 binary64)) #s(literal 3 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (+.f64 #s(literal 1/4 binary64) (*.f64 (log.f64 u1) #s(literal -1/18 binary64))) (*.f64 #s(literal -1/12 binary64) (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 (log.f64 u1) #s(literal 1/18 binary64)) (-.f64 (*.f64 (log.f64 u1) #s(literal 1/18 binary64)) #s(literal 1/4 binary64)))))))
(*.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 1/16 binary64) (pow.f64 (*.f64 (log.f64 u1) #s(literal 1/18 binary64)) #s(literal 2 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (+.f64 #s(literal 1/4 binary64) (*.f64 (log.f64 u1) #s(literal -1/18 binary64))) (*.f64 #s(literal -1/12 binary64) (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/4 binary64) (*.f64 (log.f64 u1) #s(literal -1/18 binary64))))))
(*.f64 (/.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 (log.f64 u1) #s(literal -1/18 binary64))) (+.f64 #s(literal 1/64 binary64) (pow.f64 (*.f64 (log.f64 u1) #s(literal 1/18 binary64)) #s(literal 3 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -1/18 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 (log.f64 u1) #s(literal 1/18 binary64)) (-.f64 (*.f64 (log.f64 u1) #s(literal 1/18 binary64)) #s(literal 1/4 binary64)))))))
(*.f64 (/.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 (log.f64 u1) #s(literal -1/18 binary64))) (-.f64 #s(literal 1/16 binary64) (pow.f64 (*.f64 (log.f64 u1) #s(literal 1/18 binary64)) #s(literal 2 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -1/18 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/4 binary64) (*.f64 (log.f64 u1) #s(literal -1/18 binary64))))))
(*.f64 (/.f64 (+.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 (log.f64 u1) #s(literal -1/18 binary64)) #s(literal 3/2 binary64))) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (+.f64 #s(literal 1/4 binary64) (*.f64 (log.f64 u1) #s(literal -1/18 binary64))) (*.f64 #s(literal -1/12 binary64) (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)))))) (+.f64 #s(literal 1/4 binary64) (*.f64 (log.f64 u1) #s(literal 1/18 binary64)))))
(*.f64 (/.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 (log.f64 u1) #s(literal -1/18 binary64))) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -1/18 binary64))))) (+.f64 #s(literal 1/4 binary64) (*.f64 (log.f64 u1) #s(literal 1/18 binary64)))))
(*.f64 (/.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 (log.f64 u1) #s(literal -1/18 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 binary64) (+.f64 #s(literal 1/4 binary64) (*.f64 (log.f64 u1) #s(literal 1/18 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 (+.f64 (*.f64 (log.f64 u1) #s(literal -1/18 binary64)) #s(literal 1/4 binary64)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -1/18 binary64))))))))
(*.f64 (/.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 (log.f64 u1) #s(literal -1/18 binary64))) (+.f64 (*.f64 (log.f64 u1) #s(literal -1/18 binary64)) #s(literal -1/4 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/4 binary64) (*.f64 (log.f64 u1) #s(literal 1/18 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -1/18 binary64))) #s(literal -1/2 binary64)))))
(*.f64 (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)))
(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) (log.f64 u1)) (/.f64 (pow.f64 (log.f64 u1) #s(literal 2 binary64)) (-.f64 #s(literal 0 binary64) (log.f64 u1))))
(/.f64 (pow.f64 (log.f64 u1) #s(literal 2 binary64)) (log.f64 u1))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 u1) #s(literal 2 binary64))) (-.f64 #s(literal 0 binary64) (log.f64 u1)))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 u1) #s(literal 2 binary64)))) (neg.f64 (-.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 (neg.f64 (+.f64 #s(literal 0 binary64) (pow.f64 (log.f64 u1) #s(literal 3 binary64)))) (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 u1) #s(literal 2 binary64))))
(/.f64 (+.f64 (pow.f64 (log.f64 u1) #s(literal 3 binary64)) #s(literal 0 binary64)) (pow.f64 (log.f64 u1) #s(literal 2 binary64)))
(log.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)))
(+.f64 (log.f64 (log.f64 u1)) (log.f64 #s(literal -2 binary64)))
(+.f64 (log.f64 #s(literal -2 binary64)) (log.f64 (log.f64 u1)))
(-.f64 (/.f64 (pow.f64 (log.f64 (log.f64 u1)) #s(literal 2 binary64)) (log.f64 (/.f64 (log.f64 u1) #s(literal -2 binary64)))) (/.f64 (pow.f64 (log.f64 #s(literal -2 binary64)) #s(literal 2 binary64)) (log.f64 (/.f64 (log.f64 u1) #s(literal -2 binary64)))))
(/.f64 (+.f64 (pow.f64 (log.f64 (log.f64 u1)) #s(literal 3 binary64)) (pow.f64 (log.f64 #s(literal -2 binary64)) #s(literal 3 binary64))) (+.f64 (pow.f64 (log.f64 (log.f64 u1)) #s(literal 2 binary64)) (-.f64 (pow.f64 (log.f64 #s(literal -2 binary64)) #s(literal 2 binary64)) (*.f64 (log.f64 (log.f64 u1)) (log.f64 #s(literal -2 binary64))))))
(/.f64 (-.f64 (pow.f64 (log.f64 (log.f64 u1)) #s(literal 2 binary64)) (pow.f64 (log.f64 #s(literal -2 binary64)) #s(literal 2 binary64))) (log.f64 (/.f64 (log.f64 u1) #s(literal -2 binary64))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (log.f64 (log.f64 u1)) #s(literal 3 binary64)) (pow.f64 (log.f64 #s(literal -2 binary64)) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (log.f64 (log.f64 u1)) #s(literal 2 binary64)) (-.f64 (pow.f64 (log.f64 #s(literal -2 binary64)) #s(literal 2 binary64)) (*.f64 (log.f64 (log.f64 u1)) (log.f64 #s(literal -2 binary64)))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log.f64 (log.f64 u1)) #s(literal 2 binary64)) (pow.f64 (log.f64 #s(literal -2 binary64)) #s(literal 2 binary64)))) (neg.f64 (log.f64 (/.f64 (log.f64 u1) #s(literal -2 binary64)))))
(/.f64 (+.f64 (pow.f64 (log.f64 #s(literal -2 binary64)) #s(literal 3 binary64)) (pow.f64 (log.f64 (log.f64 u1)) #s(literal 3 binary64))) (+.f64 (pow.f64 (log.f64 #s(literal -2 binary64)) #s(literal 2 binary64)) (-.f64 (pow.f64 (log.f64 (log.f64 u1)) #s(literal 2 binary64)) (*.f64 (log.f64 #s(literal -2 binary64)) (log.f64 (log.f64 u1))))))
(*.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 (pow.f64 (log.f64 u1) #s(literal 1/2 binary64)) (*.f64 (sqrt.f64 #s(literal -2 binary64)) #s(literal -1/6 binary64)))
(*.f64 (*.f64 #s(literal -1/6 binary64) (pow.f64 (log.f64 u1) #s(literal 1/2 binary64))) (sqrt.f64 #s(literal -2 binary64)))

simplify319.0ms (2.8%)

Algorithm
1×egg-herbie
Rules
2468×*-lowering-*.f32
2468×*-lowering-*.f64
2310×fma-lowering-fma.f32
2310×fma-lowering-fma.f64
2088×sum3-define
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01463956
13703573
211813511
321783475
435163475
551593475
673603475
081573475
Stop Event
1×iter limit
1×node limit
Counts
312 → 312
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))))
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(/ (+ 1/2 (* -1/6 (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))))) (+ 1/4 (* 1/18 (+ (log -1) (* -1 (log (/ -1 u1)))))))
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(* u2 (PI))
(* u2 (PI))
(* u2 (PI))
(log u1)
(log u1)
(log u1)
(log u1)
(* -1 (log (/ 1 u1)))
(* -1 (log (/ 1 u1)))
(* -1 (log (/ 1 u1)))
(* -1 (log (/ 1 u1)))
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(+ (log -1) (* -1 (log (/ -1 u1))))
(+ (log -1) (* -1 (log (/ -1 u1))))
(+ (log -1) (* -1 (log (/ -1 u1))))
(log (* -2 (log u1)))
(log (* -2 (log u1)))
(log (* -2 (log u1)))
(log (* -2 (log u1)))
(log (* 2 (log (/ 1 u1))))
(log (* 2 (log (/ 1 u1))))
(log (* 2 (log (/ 1 u1))))
(log (* 2 (log (/ 1 u1))))
(log (* -2 (+ (log -1) (* -1 (log (/ -1 u1))))))
(log (* -2 (+ (log -1) (* -1 (log (/ -1 u1))))))
(log (* -2 (+ (log -1) (* -1 (log (/ -1 u1))))))
(log (* -2 (+ (log -1) (* -1 (log (/ -1 u1))))))
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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 #s(literal 2 binary64)) (*.f64 (sqrt.f64 (log.f64 u1)) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -1 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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(+.f64 #s(literal 1/4 binary64) (*.f64 (log.f64 u1) #s(literal 1/18 binary64)))
(+ 1/4 (* -1/18 (log (/ 1 u1))))
(+.f64 #s(literal 1/4 binary64) (*.f64 (log.f64 u1) #s(literal 1/18 binary64)))
(+ 1/4 (* 1/18 (+ (log -1) (* -1 (log (/ -1 u1))))))
(+.f64 #s(literal 1/4 binary64) (*.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) u1))) #s(literal 1/18 binary64)))
(+ 1/4 (* 1/18 (+ (log -1) (* -1 (log (/ -1 u1))))))
(+.f64 #s(literal 1/4 binary64) (*.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) u1))) #s(literal 1/18 binary64)))
(+ 1/4 (* 1/18 (+ (log -1) (* -1 (log (/ -1 u1))))))
(+.f64 #s(literal 1/4 binary64) (*.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) u1))) #s(literal 1/18 binary64)))
(+ 1/4 (* 1/18 (+ (log -1) (* -1 (log (/ -1 u1))))))
(+.f64 #s(literal 1/4 binary64) (*.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) u1))) #s(literal 1/18 binary64)))
(* 1/18 (log u1))
(*.f64 (log.f64 u1) #s(literal 1/18 binary64))
(* 1/18 (log u1))
(*.f64 (log.f64 u1) #s(literal 1/18 binary64))
(* 1/18 (log u1))
(*.f64 (log.f64 u1) #s(literal 1/18 binary64))
(* 1/18 (log u1))
(*.f64 (log.f64 u1) #s(literal 1/18 binary64))
(* -1/18 (log (/ 1 u1)))
(*.f64 (log.f64 u1) #s(literal 1/18 binary64))
(* -1/18 (log (/ 1 u1)))
(*.f64 (log.f64 u1) #s(literal 1/18 binary64))
(* -1/18 (log (/ 1 u1)))
(*.f64 (log.f64 u1) #s(literal 1/18 binary64))
(* -1/18 (log (/ 1 u1)))
(*.f64 (log.f64 u1) #s(literal 1/18 binary64))
(* 1/18 (+ (log -1) (* -1 (log (/ -1 u1)))))
(*.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) u1))) #s(literal 1/18 binary64))
(* 1/18 (+ (log -1) (* -1 (log (/ -1 u1)))))
(*.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) u1))) #s(literal 1/18 binary64))
(* 1/18 (+ (log -1) (* -1 (log (/ -1 u1)))))
(*.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) u1))) #s(literal 1/18 binary64))
(* 1/18 (+ (log -1) (* -1 (log (/ -1 u1)))))
(*.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) u1))) #s(literal 1/18 binary64))
(/ (+ 1/2 (* -1/6 (* (sqrt (log u1)) (sqrt -2)))) (+ 1/4 (* 1/18 (log u1))))
(/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (log.f64 u1)) (*.f64 (sqrt.f64 #s(literal -2 binary64)) #s(literal -1/6 binary64)))) (+.f64 #s(literal 1/4 binary64) (*.f64 (log.f64 u1) #s(literal 1/18 binary64))))
(/ (+ 1/2 (* -1/6 (* (sqrt (log u1)) (sqrt -2)))) (+ 1/4 (* 1/18 (log u1))))
(/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (log.f64 u1)) (*.f64 (sqrt.f64 #s(literal -2 binary64)) #s(literal -1/6 binary64)))) (+.f64 #s(literal 1/4 binary64) (*.f64 (log.f64 u1) #s(literal 1/18 binary64))))
(/ (+ 1/2 (* -1/6 (* (sqrt (log u1)) (sqrt -2)))) (+ 1/4 (* 1/18 (log u1))))
(/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (log.f64 u1)) (*.f64 (sqrt.f64 #s(literal -2 binary64)) #s(literal -1/6 binary64)))) (+.f64 #s(literal 1/4 binary64) (*.f64 (log.f64 u1) #s(literal 1/18 binary64))))
(/ (+ 1/2 (* -1/6 (* (sqrt (log u1)) (sqrt -2)))) (+ 1/4 (* 1/18 (log u1))))
(/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (log.f64 u1)) (*.f64 (sqrt.f64 #s(literal -2 binary64)) #s(literal -1/6 binary64)))) (+.f64 #s(literal 1/4 binary64) (*.f64 (log.f64 u1) #s(literal 1/18 binary64))))
(/ (+ 1/2 (* -1/6 (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1))))) (+ 1/4 (* -1/18 (log (/ 1 u1)))))
(/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (log.f64 u1))) (sqrt.f64 #s(literal -2 binary64))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1/6 binary64)))) (+.f64 #s(literal 1/4 binary64) (*.f64 (log.f64 u1) #s(literal 1/18 binary64))))
(/ (+ 1/2 (* -1/6 (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1))))) (+ 1/4 (* -1/18 (log (/ 1 u1)))))
(/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (log.f64 u1))) (sqrt.f64 #s(literal -2 binary64))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1/6 binary64)))) (+.f64 #s(literal 1/4 binary64) (*.f64 (log.f64 u1) #s(literal 1/18 binary64))))
(/ (+ 1/2 (* -1/6 (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1))))) (+ 1/4 (* -1/18 (log (/ 1 u1)))))
(/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (log.f64 u1))) (sqrt.f64 #s(literal -2 binary64))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1/6 binary64)))) (+.f64 #s(literal 1/4 binary64) (*.f64 (log.f64 u1) #s(literal 1/18 binary64))))
(/ (+ 1/2 (* -1/6 (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1))))) (+ 1/4 (* -1/18 (log (/ 1 u1)))))
(/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (log.f64 u1))) (sqrt.f64 #s(literal -2 binary64))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1/6 binary64)))) (+.f64 #s(literal 1/4 binary64) (*.f64 (log.f64 u1) #s(literal 1/18 binary64))))
(/ (+ 1/2 (* -1/6 (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))))) (+ 1/4 (* 1/18 (+ (log -1) (* -1 (log (/ -1 u1)))))))
(/.f64 (+.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 (sqrt.f64 #s(literal -2 binary64)) #s(literal -1/6 binary64)))) (+.f64 #s(literal 1/4 binary64) (*.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) u1))) #s(literal 1/18 binary64))))
(/ (+ 1/2 (* -1/6 (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))))) (+ 1/4 (* 1/18 (+ (log -1) (* -1 (log (/ -1 u1)))))))
(/.f64 (+.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 (sqrt.f64 #s(literal -2 binary64)) #s(literal -1/6 binary64)))) (+.f64 #s(literal 1/4 binary64) (*.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) u1))) #s(literal 1/18 binary64))))
(/ (+ 1/2 (* -1/6 (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))))) (+ 1/4 (* 1/18 (+ (log -1) (* -1 (log (/ -1 u1)))))))
(/.f64 (+.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 (sqrt.f64 #s(literal -2 binary64)) #s(literal -1/6 binary64)))) (+.f64 #s(literal 1/4 binary64) (*.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) u1))) #s(literal 1/18 binary64))))
(/ (+ 1/2 (* -1/6 (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))))) (+ 1/4 (* 1/18 (+ (log -1) (* -1 (log (/ -1 u1)))))))
(/.f64 (+.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 (sqrt.f64 #s(literal -2 binary64)) #s(literal -1/6 binary64)))) (+.f64 #s(literal 1/4 binary64) (*.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) u1))) #s(literal 1/18 binary64))))
(* u2 (PI))
(*.f64 u2 (PI.f64))
(* u2 (PI))
(*.f64 u2 (PI.f64))
(* u2 (PI))
(*.f64 u2 (PI.f64))
(* u2 (PI))
(*.f64 u2 (PI.f64))
(* u2 (PI))
(*.f64 u2 (PI.f64))
(* u2 (PI))
(*.f64 u2 (PI.f64))
(* u2 (PI))
(*.f64 u2 (PI.f64))
(* u2 (PI))
(*.f64 u2 (PI.f64))
(* u2 (PI))
(*.f64 u2 (PI.f64))
(* u2 (PI))
(*.f64 u2 (PI.f64))
(* u2 (PI))
(*.f64 u2 (PI.f64))
(* u2 (PI))
(*.f64 u2 (PI.f64))
(log u1)
(log.f64 u1)
(log u1)
(log.f64 u1)
(log u1)
(log.f64 u1)
(log u1)
(log.f64 u1)
(* -1 (log (/ 1 u1)))
(log.f64 u1)
(* -1 (log (/ 1 u1)))
(log.f64 u1)
(* -1 (log (/ 1 u1)))
(log.f64 u1)
(* -1 (log (/ 1 u1)))
(log.f64 u1)
(+ (log -1) (* -1 (log (/ -1 u1))))
(-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) u1)))
(+ (log -1) (* -1 (log (/ -1 u1))))
(-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) u1)))
(+ (log -1) (* -1 (log (/ -1 u1))))
(-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) u1)))
(+ (log -1) (* -1 (log (/ -1 u1))))
(-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) u1)))
(log (* -2 (log u1)))
(log.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)))
(log (* -2 (log u1)))
(log.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)))
(log (* -2 (log u1)))
(log.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)))
(log (* -2 (log u1)))
(log.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)))
(log (* 2 (log (/ 1 u1))))
(log.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)))
(log (* 2 (log (/ 1 u1))))
(log.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)))
(log (* 2 (log (/ 1 u1))))
(log.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)))
(log (* 2 (log (/ 1 u1))))
(log.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)))
(log (* -2 (+ (log -1) (* -1 (log (/ -1 u1))))))
(log.f64 (*.f64 #s(literal 2 binary64) (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) u1)) (log.f64 #s(literal -1 binary64)))))
(log (* -2 (+ (log -1) (* -1 (log (/ -1 u1))))))
(log.f64 (*.f64 #s(literal 2 binary64) (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) u1)) (log.f64 #s(literal -1 binary64)))))
(log (* -2 (+ (log -1) (* -1 (log (/ -1 u1))))))
(log.f64 (*.f64 #s(literal 2 binary64) (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) u1)) (log.f64 #s(literal -1 binary64)))))
(log (* -2 (+ (log -1) (* -1 (log (/ -1 u1))))))
(log.f64 (*.f64 #s(literal 2 binary64) (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) u1)) (log.f64 #s(literal -1 binary64)))))
(* -1/6 (* (sqrt (log u1)) (sqrt -2)))
(*.f64 (sqrt.f64 (log.f64 u1)) (*.f64 (sqrt.f64 #s(literal -2 binary64)) #s(literal -1/6 binary64)))
(* -1/6 (* (sqrt (log u1)) (sqrt -2)))
(*.f64 (sqrt.f64 (log.f64 u1)) (*.f64 (sqrt.f64 #s(literal -2 binary64)) #s(literal -1/6 binary64)))
(* -1/6 (* (sqrt (log u1)) (sqrt -2)))
(*.f64 (sqrt.f64 (log.f64 u1)) (*.f64 (sqrt.f64 #s(literal -2 binary64)) #s(literal -1/6 binary64)))
(* -1/6 (* (sqrt (log u1)) (sqrt -2)))
(*.f64 (sqrt.f64 (log.f64 u1)) (*.f64 (sqrt.f64 #s(literal -2 binary64)) #s(literal -1/6 binary64)))
(* -1/6 (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1))))
(*.f64 (*.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (log.f64 u1))) (sqrt.f64 #s(literal -2 binary64))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1/6 binary64)))
(* -1/6 (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1))))
(*.f64 (*.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (log.f64 u1))) (sqrt.f64 #s(literal -2 binary64))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1/6 binary64)))
(* -1/6 (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1))))
(*.f64 (*.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (log.f64 u1))) (sqrt.f64 #s(literal -2 binary64))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1/6 binary64)))
(* -1/6 (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1))))
(*.f64 (*.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (log.f64 u1))) (sqrt.f64 #s(literal -2 binary64))) (*.f64 (sqrt.f64 #s(literal -1 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)))
(* -1/6 (* (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)))

eval154.0ms (1.4%)

Compiler

Compiled 28828 to 2946 computations (89.8% saved)

prune207.0ms (1.8%)

Pruning

19 alts after pruning (14 fresh and 5 done)

PrunedKeptTotal
New1279111290
Fresh134
Picked325
Done033
Total1283191302
Accuracy
100.0%
Counts
1302 → 19
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))
98.0%
(/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal -1/6 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/4 binary64) (*.f64 (log.f64 u1) #s(literal 1/18 binary64)))))
98.2%
(/.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 (log.f64 u1) #s(literal -1/18 binary64))) (-.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -1/18 binary64)))))
98.1%
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -1/18 binary64))) #s(literal -1/2 binary64)) (+.f64 (*.f64 (log.f64 u1) #s(literal -1/18 binary64)) #s(literal -1/4 binary64))))
98.4%
(+.f64 (pow.f64 (pow.f64 (*.f64 (log.f64 u1) #s(literal -1/18 binary64)) #s(literal 2 binary64)) #s(literal 1/4 binary64)) #s(literal 1/2 binary64))
98.0%
(+.f64 (pow.f64 (pow.f64 (*.f64 (log.f64 u1) #s(literal -1/18 binary64)) #s(literal 1/4 binary64)) #s(literal 2 binary64)) #s(literal 1/2 binary64))
1.8%
(+.f64 (pow.f64 (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal -1/6 binary64)) #s(literal 1 binary64)) #s(literal 1/2 binary64))
98.1%
(+.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (log.f64 (*.f64 (log.f64 u1) #s(literal -1/18 binary64)))) #s(literal 1/2 binary64))
98.0%
(+.f64 (*.f64 (pow.f64 (pow.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)) #s(literal 1/4 binary64)) #s(literal 2 binary64)) #s(literal 1/6 binary64)) #s(literal 1/2 binary64))
98.4%
(+.f64 (*.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (log.f64 u1))) (sqrt.f64 #s(literal 1/18 binary64))) #s(literal 1/2 binary64))
97.9%
(+.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))
98.8%
(+.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (*.f64 #s(literal 1/6 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 u2 u2) (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal -2 binary64))))))) #s(literal 1/2 binary64))
✓98.2%
(+.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal 1/6 binary64)) #s(literal 1/2 binary64))
✓97.8%
(+.f64 (*.f64 (exp.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))))) #s(literal 1/6 binary64)) #s(literal 1/2 binary64))
98.4%
(+.f64 (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -1/18 binary64))) #s(literal 1/2 binary64))
98.3%
(+.f64 (exp.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (*.f64 (log.f64 u1) #s(literal -1/18 binary64))))) #s(literal 1/2 binary64))
98.3%
(+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 (-.f64 #s(literal 0 binary64) (log.f64 u1)) #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 2 binary64))))
✓99.5%
(+.f64 #s(literal 1/2 binary64) (*.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 #s(literal 2 binary64) (*.f64 (PI.f64) u2))))))
✓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 1421 to 481 computations (66.2% saved)

regimes182.0ms (1.6%)

Counts
52 → 1
Calls
Call 1
Inputs
(+.f64 (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -1/18 binary64))) #s(literal 1/2 binary64))
(+.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal 1/6 binary64)) #s(literal 1/2 binary64))
(+.f64 (pow.f64 (*.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)) #s(literal 1/36 binary64)) #s(literal 1/2 binary64)) #s(literal 1/2 binary64))
(+.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (*.f64 #s(literal 1/6 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 u2 u2) (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal -2 binary64))))))) #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 (exp.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (*.f64 (log.f64 u1) #s(literal -1/18 binary64))))) #s(literal 1/2 binary64))
(+.f64 (*.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (log.f64 u1))) (sqrt.f64 #s(literal 1/18 binary64))) #s(literal 1/2 binary64))
(+.f64 (pow.f64 (pow.f64 (*.f64 (log.f64 u1) #s(literal -1/18 binary64)) #s(literal 1/4 binary64)) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(+.f64 (pow.f64 (pow.f64 (*.f64 (log.f64 u1) #s(literal -1/18 binary64)) #s(literal 2 binary64)) #s(literal 1/4 binary64)) #s(literal 1/2 binary64))
(+.f64 (pow.f64 (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal -1/6 binary64)) #s(literal 1 binary64)) #s(literal 1/2 binary64))
(+.f64 (*.f64 (exp.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))))) #s(literal 1/6 binary64)) #s(literal 1/2 binary64))
(+.f64 (*.f64 (pow.f64 (pow.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)) #s(literal 1/4 binary64)) #s(literal 2 binary64)) #s(literal 1/6 binary64)) #s(literal 1/2 binary64))
(+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 (-.f64 #s(literal 0 binary64) (log.f64 u1)) #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 2 binary64))))
(+.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)))) #s(literal 1 binary64)))
(+.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))) #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 (log.f64 u1) #s(literal -1/18 binary64))) (-.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -1/18 binary64)))))
(+.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 (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))))) #s(literal 1/2 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -1/18 binary64))) #s(literal -1/2 binary64)) (+.f64 (*.f64 (log.f64 u1) #s(literal -1/18 binary64)) #s(literal -1/4 binary64))))
(/.f64 (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)) #s(literal -1/36 binary64))) (+.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal -1/6 binary64))))
(+.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/2 binary64))) (cos.f64 (*.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) u2))) #s(literal 1/2 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal -1/6 binary64))) (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (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 (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal -1/6 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/4 binary64) (*.f64 (log.f64 u1) #s(literal 1/18 binary64)))))
(+.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (log.f64 (*.f64 (log.f64 u1) #s(literal -1/18 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))
(+.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) (exp.f64 (*.f64 (log.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal 1/2 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) (sqrt.f64 (-.f64 #s(literal 0 binary64) (log.f64 u1)))) (*.f64 (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) (*.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)))))
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))))))) #s(literal -1 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))) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))))
(+.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 (*.f64 u2 (PI.f64)) #s(literal 1 binary64)) (*.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 (pow.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal 1/6 binary64)) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (-.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))
(*.f64 (-.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal 1/6 binary64)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal 1/6 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.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 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal 1/6 binary64)) #s(literal 2 binary64)))))
(+.f64 #s(literal 1/2 binary64) (*.f64 (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 (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 1/4 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal 1/6 binary64)))) (/.f64 (pow.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal 1/6 binary64)) #s(literal 2 binary64)) (-.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal 1/6 binary64)))))
(/.f64 (+.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal 1/6 binary64)) #s(literal 3 binary64))) (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal 1/6 binary64)) (-.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))))
(*.f64 (+.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal 1/6 binary64)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal 1/6 binary64)) (-.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal 1/6 binary64)) #s(literal 1/2 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal 1/6 binary64)) (-.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))) (+.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal 1/6 binary64)) #s(literal 3 binary64)))))
(/.f64 (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal -1/36 binary64) (pow.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))) #s(literal 2 binary64)))) (-.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))))))
(*.f64 (+.f64 (pow.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))))) #s(literal 2 binary64)) #s(literal -1/4 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))))) #s(literal -1/2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))))) #s(literal -1/2 binary64)) (+.f64 (pow.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))))) #s(literal 2 binary64)) #s(literal -1/4 binary64))))
(*.f64 (/.f64 #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 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))))) #s(literal 3 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))))) #s(literal 2 binary64)) (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/12 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 1/8 binary64) (pow.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))))) #s(literal 3 binary64)))))
(/.f64 (*.f64 (-.f64 #s(literal 1/16 binary64) (pow.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))))) #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))))))) (+.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))))) #s(literal 2 binary64))))
(*.f64 (/.f64 (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal -1/36 binary64) (pow.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))) #s(literal 2 binary64)))) (-.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))))) #s(literal 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)))))
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:

36.0ms
(*.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)))
23.0ms
(pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/2 binary64))
16.0ms
(+.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))
15.0ms
(*.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) u2)
15.0ms
(*.f64 #s(literal -2 binary64) (log.f64 u1))
Results
AccuracySegmentsBranch
99.5%1u1
99.5%1u2
99.5%1(+.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/2 binary64))) (cos.f64 (*.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) u2))) #s(literal 1/2 binary64))
99.5%1(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/2 binary64))) (cos.f64 (*.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) u2)))
99.5%1(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/2 binary64)))
99.5%1(pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/2 binary64))
99.5%1(*.f64 #s(literal -2 binary64) (log.f64 u1))
99.5%1(log.f64 u1)
99.5%1(cos.f64 (*.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) u2))
99.5%1(*.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) u2)
Compiler

Compiled 91 to 78 computations (14.3% saved)

regimes108.0ms (0.9%)

Counts
31 → 1
Calls
Call 1
Inputs
(+.f64 (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -1/18 binary64))) #s(literal 1/2 binary64))
(+.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal 1/6 binary64)) #s(literal 1/2 binary64))
(+.f64 (pow.f64 (*.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)) #s(literal 1/36 binary64)) #s(literal 1/2 binary64)) #s(literal 1/2 binary64))
(+.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (*.f64 #s(literal 1/6 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 u2 u2) (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal -2 binary64))))))) #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 (exp.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (*.f64 (log.f64 u1) #s(literal -1/18 binary64))))) #s(literal 1/2 binary64))
(+.f64 (*.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (log.f64 u1))) (sqrt.f64 #s(literal 1/18 binary64))) #s(literal 1/2 binary64))
(+.f64 (pow.f64 (pow.f64 (*.f64 (log.f64 u1) #s(literal -1/18 binary64)) #s(literal 1/4 binary64)) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(+.f64 (pow.f64 (pow.f64 (*.f64 (log.f64 u1) #s(literal -1/18 binary64)) #s(literal 2 binary64)) #s(literal 1/4 binary64)) #s(literal 1/2 binary64))
(+.f64 (pow.f64 (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal -1/6 binary64)) #s(literal 1 binary64)) #s(literal 1/2 binary64))
(+.f64 (*.f64 (exp.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))))) #s(literal 1/6 binary64)) #s(literal 1/2 binary64))
(+.f64 (*.f64 (pow.f64 (pow.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)) #s(literal 1/4 binary64)) #s(literal 2 binary64)) #s(literal 1/6 binary64)) #s(literal 1/2 binary64))
(+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 (-.f64 #s(literal 0 binary64) (log.f64 u1)) #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 2 binary64))))
(+.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)))) #s(literal 1 binary64)))
(+.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))) #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 (log.f64 u1) #s(literal -1/18 binary64))) (-.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -1/18 binary64)))))
(+.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 (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))))) #s(literal 1/2 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -1/18 binary64))) #s(literal -1/2 binary64)) (+.f64 (*.f64 (log.f64 u1) #s(literal -1/18 binary64)) #s(literal -1/4 binary64))))
(/.f64 (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)) #s(literal -1/36 binary64))) (+.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal -1/6 binary64))))
(+.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/2 binary64))) (cos.f64 (*.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) u2))) #s(literal 1/2 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal -1/6 binary64))) (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (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 (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal -1/6 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/4 binary64) (*.f64 (log.f64 u1) #s(literal 1/18 binary64)))))
(+.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (log.f64 (*.f64 (log.f64 u1) #s(literal -1/18 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))
(+.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) (exp.f64 (*.f64 (log.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal 1/2 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) (sqrt.f64 (-.f64 #s(literal 0 binary64) (log.f64 u1)))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (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) (sqrt.f64 (-.f64 #s(literal 0 binary64) (log.f64 u1)))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))))))
Calls

10 calls:

15.0ms
u1
13.0ms
(*.f64 #s(literal -2 binary64) (log.f64 u1))
11.0ms
(*.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)))
11.0ms
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/2 binary64)))
11.0ms
u2
Results
AccuracySegmentsBranch
99.5%1u1
99.5%1u2
99.5%1(+.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/2 binary64))) (cos.f64 (*.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) u2))) #s(literal 1/2 binary64))
99.5%1(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/2 binary64))) (cos.f64 (*.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) u2)))
99.5%1(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/2 binary64)))
99.5%1(pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/2 binary64))
99.5%1(*.f64 #s(literal -2 binary64) (log.f64 u1))
99.5%1(log.f64 u1)
99.5%1(cos.f64 (*.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) u2))
99.5%1(*.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) u2)
Compiler

Compiled 91 to 78 computations (14.3% saved)

regimes212.0ms (1.9%)

Counts
30 → 1
Calls
Call 1
Inputs
(+.f64 (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -1/18 binary64))) #s(literal 1/2 binary64))
(+.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal 1/6 binary64)) #s(literal 1/2 binary64))
(+.f64 (pow.f64 (*.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)) #s(literal 1/36 binary64)) #s(literal 1/2 binary64)) #s(literal 1/2 binary64))
(+.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (*.f64 #s(literal 1/6 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 u2 u2) (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal -2 binary64))))))) #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 (exp.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (*.f64 (log.f64 u1) #s(literal -1/18 binary64))))) #s(literal 1/2 binary64))
(+.f64 (*.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (log.f64 u1))) (sqrt.f64 #s(literal 1/18 binary64))) #s(literal 1/2 binary64))
(+.f64 (pow.f64 (pow.f64 (*.f64 (log.f64 u1) #s(literal -1/18 binary64)) #s(literal 1/4 binary64)) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(+.f64 (pow.f64 (pow.f64 (*.f64 (log.f64 u1) #s(literal -1/18 binary64)) #s(literal 2 binary64)) #s(literal 1/4 binary64)) #s(literal 1/2 binary64))
(+.f64 (pow.f64 (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal -1/6 binary64)) #s(literal 1 binary64)) #s(literal 1/2 binary64))
(+.f64 (*.f64 (exp.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))))) #s(literal 1/6 binary64)) #s(literal 1/2 binary64))
(+.f64 (*.f64 (pow.f64 (pow.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)) #s(literal 1/4 binary64)) #s(literal 2 binary64)) #s(literal 1/6 binary64)) #s(literal 1/2 binary64))
(+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 (-.f64 #s(literal 0 binary64) (log.f64 u1)) #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 2 binary64))))
(+.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)))) #s(literal 1 binary64)))
(+.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))) #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 (log.f64 u1) #s(literal -1/18 binary64))) (-.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -1/18 binary64)))))
(+.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 (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))))) #s(literal 1/2 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -1/18 binary64))) #s(literal -1/2 binary64)) (+.f64 (*.f64 (log.f64 u1) #s(literal -1/18 binary64)) #s(literal -1/4 binary64))))
(/.f64 (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)) #s(literal -1/36 binary64))) (+.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal -1/6 binary64))))
(+.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/2 binary64))) (cos.f64 (*.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) u2))) #s(literal 1/2 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal -1/6 binary64))) (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (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 (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal -1/6 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/4 binary64) (*.f64 (log.f64 u1) #s(literal 1/18 binary64)))))
(+.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (log.f64 (*.f64 (log.f64 u1) #s(literal -1/18 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))
(+.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) (exp.f64 (*.f64 (log.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal 1/2 binary64)))) (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) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)))) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))))
Calls

10 calls:

131.0ms
u2
10.0ms
(*.f64 #s(literal -2 binary64) (log.f64 u1))
9.0ms
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/2 binary64)))
9.0ms
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/2 binary64))) (cos.f64 (*.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) u2)))
8.0ms
(+.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/2 binary64))) (cos.f64 (*.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) u2))) #s(literal 1/2 binary64))
Results
AccuracySegmentsBranch
99.4%1u1
99.4%1u2
99.4%1(+.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/2 binary64))) (cos.f64 (*.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) u2))) #s(literal 1/2 binary64))
99.4%1(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/2 binary64))) (cos.f64 (*.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) u2)))
99.4%1(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/2 binary64)))
99.4%1(pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/2 binary64))
99.4%1(*.f64 #s(literal -2 binary64) (log.f64 u1))
99.4%1(log.f64 u1)
99.4%1(cos.f64 (*.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) u2))
99.4%1(*.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) u2)
Compiler

Compiled 91 to 78 computations (14.3% saved)

regimes25.0ms (0.2%)

Counts
16 → 1
Calls
Call 1
Inputs
(+.f64 (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -1/18 binary64))) #s(literal 1/2 binary64))
(+.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal 1/6 binary64)) #s(literal 1/2 binary64))
(+.f64 (pow.f64 (*.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)) #s(literal 1/36 binary64)) #s(literal 1/2 binary64)) #s(literal 1/2 binary64))
(+.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (*.f64 #s(literal 1/6 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 u2 u2) (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal -2 binary64))))))) #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 (exp.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (*.f64 (log.f64 u1) #s(literal -1/18 binary64))))) #s(literal 1/2 binary64))
(+.f64 (*.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (log.f64 u1))) (sqrt.f64 #s(literal 1/18 binary64))) #s(literal 1/2 binary64))
(+.f64 (pow.f64 (pow.f64 (*.f64 (log.f64 u1) #s(literal -1/18 binary64)) #s(literal 1/4 binary64)) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(+.f64 (pow.f64 (pow.f64 (*.f64 (log.f64 u1) #s(literal -1/18 binary64)) #s(literal 2 binary64)) #s(literal 1/4 binary64)) #s(literal 1/2 binary64))
(+.f64 (pow.f64 (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal -1/6 binary64)) #s(literal 1 binary64)) #s(literal 1/2 binary64))
(+.f64 (*.f64 (exp.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))))) #s(literal 1/6 binary64)) #s(literal 1/2 binary64))
(+.f64 (*.f64 (pow.f64 (pow.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)) #s(literal 1/4 binary64)) #s(literal 2 binary64)) #s(literal 1/6 binary64)) #s(literal 1/2 binary64))
(+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 (-.f64 #s(literal 0 binary64) (log.f64 u1)) #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 2 binary64))))
(+.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)))) #s(literal 1 binary64)))
(+.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))) #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 (log.f64 u1) #s(literal -1/18 binary64))) (-.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -1/18 binary64)))))
Outputs
(+.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (*.f64 #s(literal 1/6 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 u2 u2) (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal -2 binary64))))))) #s(literal 1/2 binary64))
Calls

4 calls:

9.0ms
u2
5.0ms
(*.f64 #s(literal -2 binary64) (log.f64 u1))
5.0ms
(log.f64 u1)
5.0ms
u1
Results
AccuracySegmentsBranch
98.8%1u1
98.8%1u2
98.8%1(*.f64 #s(literal -2 binary64) (log.f64 u1))
98.8%1(log.f64 u1)
Compiler

Compiled 16 to 12 computations (25% saved)

regimes7.0ms (0.1%)

Accuracy

Total -0.2b remaining (-18.2%)

Threshold costs -0.2b (-18.2%)

Counts
3 → 1
Calls
Call 1
Inputs
(+.f64 (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -1/18 binary64))) #s(literal 1/2 binary64))
(+.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal 1/6 binary64)) #s(literal 1/2 binary64))
(+.f64 (pow.f64 (*.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)) #s(literal 1/36 binary64)) #s(literal 1/2 binary64)) #s(literal 1/2 binary64))
Outputs
(+.f64 (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -1/18 binary64))) #s(literal 1/2 binary64))
Calls

4 calls:

2.0ms
(*.f64 #s(literal -2 binary64) (log.f64 u1))
2.0ms
(log.f64 u1)
2.0ms
u2
2.0ms
u1
Results
AccuracySegmentsBranch
98.4%1u1
98.4%1u2
98.4%1(*.f64 #s(literal -2 binary64) (log.f64 u1))
98.4%1(log.f64 u1)
Compiler

Compiled 16 to 12 computations (25% saved)

simplify26.0ms (0.2%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
04180
16980
27280
37380
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) (sqrt.f64 (-.f64 #s(literal 0 binary64) (log.f64 u1)))) (*.f64 (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) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)))) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))))
(+.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (*.f64 #s(literal 1/6 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 u2 u2) (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal -2 binary64))))))) #s(literal 1/2 binary64))
(+.f64 (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -1/18 binary64))) #s(literal 1/2 binary64))
Outputs
(+.f64 #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) (sqrt.f64 (-.f64 #s(literal 0 binary64) (log.f64 u1)))) (*.f64 (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) (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 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))))))
(+.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (*.f64 #s(literal 1/6 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 u2 u2) (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal -2 binary64))))))) #s(literal 1/2 binary64))
(+.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))) (*.f64 #s(literal 1/6 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 u2 u2) (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal -2 binary64))))))))
(+.f64 (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -1/18 binary64))) #s(literal 1/2 binary64))
(+.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -1/18 binary64))))

soundness2.2s (19.1%)

Rules
6428×*-lowering-*.f32
6428×*-lowering-*.f64
5942×+-lowering-+.f64
5942×+-lowering-+.f32
5154×*-lowering-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
049301
1268294
02101294
044411452
1146310497
2651610483
0837910483
01645
16944
240644
3402644
0844244
01915
13315
24915
35715
05715
044181
1229170
21722170
09231170
0811268
12101201
27181175
327391151
435331145
554141145
668481145
770031145
870991145
971691145
1072091145
1172251145
083661145
042220
1243216
22074210
09888210
Stop Event
1×fuel
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×saturated
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×iter limit
1×node limit
Compiler

Compiled 348 to 270 computations (22.4% saved)

preprocess48.0ms (0.4%)

Remove

(abs u2)

Compiler

Compiled 378 to 262 computations (30.7% saved)

end0.0ms (0%)

Profiling

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