normal distribution

Time bar (total: 11.6s)

analyze39.0ms (0.3%)

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 (30.6% of total)
ival-pow: 7.0ms (26.7% of total)
ival-<=: 3.0ms (11.5% 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)

sample1.9s (16.4%)

Results
1.5s8256×0valid
Precisions
Click to see histograms. Total time spent on operations: 1.2s
ival-mult: 292.0ms (23.7% of total)
ival-pow: 280.0ms (22.7% of total)
ival-<=: 175.0ms (14.2% of total)
ival-div: 133.0ms (10.8% of total)
ival-log: 114.0ms (9.2% of total)
ival-cos: 75.0ms (6.1% of total)
ival-add: 59.0ms (4.8% of total)
ival-pi: 50.0ms (4.1% of total)
const: 26.0ms (2.1% of total)
ival-and: 24.0ms (1.9% of total)
backward-pass: 4.0ms (0.3% of total)
Bogosity

preprocess41.0ms (0.4%)

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

Useful iterations: 0 (0.0ms)

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

(abs u2)

explain359.0ms (3.1%)

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
198.0ms512×0valid
Compiler

Compiled 193 to 56 computations (71% saved)

Precisions
Click to see histograms. Total time spent on operations: 56.0ms
ival-mult: 18.0ms (32% of total)
ival-pow: 13.0ms (23.1% of total)
ival-log: 7.0ms (12.4% of total)
ival-div: 5.0ms (8.9% of total)
ival-cos: 5.0ms (8.9% of total)
ival-add: 4.0ms (7.1% of total)
ival-pi: 2.0ms (3.6% of total)
const: 2.0ms (3.6% 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
▶99.3%
(+.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

localize64.0ms (0.5%)

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)))
✓accuracy99.7%
(*.f64 (PI.f64) u2)
✓accuracy99.4%
(*.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))))
Results
46.0ms256×0valid
Compiler

Compiled 72 to 17 computations (76.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 26.0ms
ival-mult: 10.0ms (37.9% of total)
ival-log: 4.0ms (15.2% of total)
ival-sqrt: 4.0ms (15.2% of total)
...c/correct-round.rkt:119:19: 4.0ms (15.2% 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)
const: 1.0ms (3.8% of total)
backward-pass: 0.0ms (0% of total)

series84.0ms (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
29.0ms
u1
@0
(+ 1/2 (* (* 1/6 (sqrt (* -2 (log u1)))) (cos (* 2 (* (PI) u2)))))
19.0ms
u1
@-inf
(+ 1/2 (* (* 1/6 (sqrt (* -2 (log u1)))) (cos (* 2 (* (PI) u2)))))
17.0ms
u2
@inf
(+ 1/2 (* (* 1/6 (sqrt (* -2 (log u1)))) (cos (* 2 (* (PI) u2)))))
12.0ms
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)))))

rewrite488.0ms (4.2%)

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)))

simplify308.0ms (2.7%)

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))

eval21.0ms (0.2%)

Compiler

Compiled 6247 to 539 computations (91.4% saved)

prune36.0ms (0.3%)

Pruning

19 alts after pruning (18 fresh and 1 done)

PrunedKeptTotal
New19018208
Fresh000
Picked011
Done000
Total19019209
Accuracy
100.0%
Counts
209 → 19
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶99.1%
(/.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)))))
98.6%
(/.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)))))
99.3%
(/.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)))
99.0%
(/.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)))))))
98.7%
(/.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)))))
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))))
98.6%
(/.f64 (*.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 #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))))
99.3%
(/.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))))))))
99.2%
(-.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)) (+.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))))
99.2%
(+.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/4 binary64)) (*.f64 (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/4 binary64)) (*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))))))
99.1%
(+.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)))))
▶98.9%
(+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 (exp.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)))))
✓99.3%
(+.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)))))
98.5%
(*.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)))))
98.7%
(*.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 1516 to 840 computations (44.6% saved)

simplify233.0ms (2%)

Algorithm
1×egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
✓cost-diff6080
(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))
✓cost-diff6080
(+.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)))
✓cost-diff6080
(*.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))))
✓cost-diff6080
(/.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)))))
✓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-diff6080
(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))
✓cost-diff6080
(+.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))
✓cost-diff6208
(*.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))))
✓cost-diff12864
(pow.f64 (exp.f64 (log.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)))) #s(literal 1/2 binary64))
✓cost-diff12864
(*.f64 #s(literal 1/6 binary64) (pow.f64 (exp.f64 (log.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)))) #s(literal 1/2 binary64)))
✓cost-diff12864
(*.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 (exp.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))))
✓cost-diff12864
(+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 (exp.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)))))
✓cost-diff0
(log.f64 u1)
✓cost-diff0
(sqrt.f64 (log.f64 u1))
✓cost-diff0
(*.f64 (sqrt.f64 (log.f64 u1)) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -2 binary64))))
✓cost-diff0
(+.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (log.f64 u1)) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -2 binary64)))))
✓cost-diff192
(pow.f64 (*.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal 1/4 binary64))
✓cost-diff192
(*.f64 #s(literal 1/6 binary64) (pow.f64 (*.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal 1/4 binary64)))
✓cost-diff192
(*.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 (*.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal 1/4 binary64))) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))))
✓cost-diff192
(+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 (*.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal 1/4 binary64))) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))))
Rules
4700×*-lowering-*.f32
4700×*-lowering-*.f64
1230×fma-lowering-fma.f32
1230×fma-lowering-fma.f64
1206×fma-define
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
048580
1116569
2285554
31100554
42969554
56926554
08262554
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(+ 1/2 (* (* 1/6 (pow (* (* -2 (log u1)) (* -2 (log u1))) 1/4)) (cos (* 2 (* (PI) u2)))))
1/2
(* (* 1/6 (pow (* (* -2 (log u1)) (* -2 (log u1))) 1/4)) (cos (* 2 (* (PI) u2))))
(* 1/6 (pow (* (* -2 (log u1)) (* -2 (log u1))) 1/4))
1/6
(pow (* (* -2 (log u1)) (* -2 (log u1))) 1/4)
(* (* -2 (log u1)) (* -2 (log u1)))
(* -2 (log u1))
-2
(log u1)
u1
1/4
(cos (* 2 (* (PI) u2)))
(* 2 (* (PI) u2))
2
(* (PI) u2)
(PI)
u2
(+ 1/2 (* (sqrt (log u1)) (* 1/6 (sqrt -2))))
1/2
(* (sqrt (log u1)) (* 1/6 (sqrt -2)))
(sqrt (log u1))
(log u1)
u1
(* 1/6 (sqrt -2))
1/6
(sqrt -2)
-2
(+ 1/2 (* (* 1/6 (pow (exp (log (* -2 (log u1)))) 1/2)) (cos (* 2 (* (PI) u2)))))
1/2
(* (* 1/6 (pow (exp (log (* -2 (log u1)))) 1/2)) (cos (* 2 (* (PI) u2))))
(* 1/6 (pow (exp (log (* -2 (log u1)))) 1/2))
1/6
(pow (exp (log (* -2 (log u1)))) 1/2)
(exp (log (* -2 (log u1))))
(log (* -2 (log u1)))
(* -2 (log u1))
-2
(log u1)
u1
(cos (* 2 (* (PI) u2)))
(* 2 (* (PI) u2))
2
(* (PI) u2)
(PI)
u2
(* (+ (pow (* (sqrt (* -2 (log u1))) (* 1/6 (cos (* 2 (* (PI) u2))))) 2) -1/4) (/ 1 (+ (* (sqrt (* -2 (log u1))) (* 1/6 (cos (* 2 (* (PI) u2))))) -1/2)))
(+ (pow (* (sqrt (* -2 (log u1))) (* 1/6 (cos (* 2 (* (PI) u2))))) 2) -1/4)
(pow (* (sqrt (* -2 (log u1))) (* 1/6 (cos (* 2 (* (PI) u2))))) 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
-1/4
(/ 1 (+ (* (sqrt (* -2 (log u1))) (* 1/6 (cos (* 2 (* (PI) u2))))) -1/2))
1
(+ (* (sqrt (* -2 (log u1))) (* 1/6 (cos (* 2 (* (PI) u2))))) -1/2)
-1/2
(/ (- 1/16 (pow (* (sqrt (* -2 (log u1))) (* 1/6 (cos (* 2 (* (PI) u2))))) 4)) (* (- 1/2 (* (sqrt (* -2 (log u1))) (* 1/6 (cos (* 2 (* (PI) u2)))))) (+ 1/4 (pow (* (sqrt (* -2 (log u1))) (* 1/6 (cos (* 2 (* (PI) u2))))) 2))))
(- 1/16 (pow (* (sqrt (* -2 (log u1))) (* 1/6 (cos (* 2 (* (PI) u2))))) 4))
1/16
(pow (* (sqrt (* -2 (log u1))) (* 1/6 (cos (* 2 (* (PI) u2))))) 4)
(* (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
4
(* (- 1/2 (* (sqrt (* -2 (log u1))) (* 1/6 (cos (* 2 (* (PI) u2)))))) (+ 1/4 (pow (* (sqrt (* -2 (log u1))) (* 1/6 (cos (* 2 (* (PI) u2))))) 2)))
(- 1/2 (* (sqrt (* -2 (log u1))) (* 1/6 (cos (* 2 (* (PI) u2))))))
1/2
(+ 1/4 (pow (* (sqrt (* -2 (log u1))) (* 1/6 (cos (* 2 (* (PI) u2))))) 2))
1/4
(pow (* (sqrt (* -2 (log u1))) (* 1/6 (cos (* 2 (* (PI) u2))))) 2)
Outputs
(+ 1/2 (* (* 1/6 (pow (* (* -2 (log u1)) (* -2 (log u1))) 1/4)) (cos (* 2 (* (PI) u2)))))
(+.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))))))
1/2
#s(literal 1/2 binary64)
(* (* 1/6 (pow (* (* -2 (log u1)) (* -2 (log u1))) 1/4)) (cos (* 2 (* (PI) u2))))
(*.f64 (pow.f64 (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))))
(* 1/6 (pow (* (* -2 (log u1)) (* -2 (log u1))) 1/4))
(*.f64 #s(literal 1/6 binary64) (pow.f64 (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 2 binary64)) #s(literal 1/4 binary64)))
1/6
#s(literal 1/6 binary64)
(pow (* (* -2 (log u1)) (* -2 (log u1))) 1/4)
(pow.f64 (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 2 binary64)) #s(literal 1/4 binary64))
(* (* -2 (log u1)) (* -2 (log u1)))
(pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 2 binary64))
(* -2 (log u1))
(*.f64 #s(literal -2 binary64) (log.f64 u1))
-2
#s(literal -2 binary64)
(log u1)
(log.f64 u1)
u1
1/4
#s(literal 1/4 binary64)
(cos (* 2 (* (PI) u2)))
(cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))
(* 2 (* (PI) u2))
(*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))
2
#s(literal 2 binary64)
(* (PI) u2)
(*.f64 (PI.f64) u2)
(PI)
(PI.f64)
u2
(+ 1/2 (* (sqrt (log u1)) (* 1/6 (sqrt -2))))
(+.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (log.f64 u1)) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -2 binary64)))))
1/2
#s(literal 1/2 binary64)
(* (sqrt (log u1)) (* 1/6 (sqrt -2)))
(*.f64 (sqrt.f64 (log.f64 u1)) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -2 binary64))))
(sqrt (log u1))
(sqrt.f64 (log.f64 u1))
(log u1)
(log.f64 u1)
u1
(* 1/6 (sqrt -2))
(*.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -2 binary64)))
1/6
#s(literal 1/6 binary64)
(sqrt -2)
(sqrt.f64 #s(literal -2 binary64))
-2
#s(literal -2 binary64)
(+ 1/2 (* (* 1/6 (pow (exp (log (* -2 (log u1)))) 1/2)) (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 (pow (exp (log (* -2 (log u1)))) 1/2)) (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 (exp (log (* -2 (log u1)))) 1/2))
(*.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))))
1/6
#s(literal 1/6 binary64)
(pow (exp (log (* -2 (log u1)))) 1/2)
(sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)))
(exp (log (* -2 (log u1))))
(*.f64 #s(literal -2 binary64) (log.f64 u1))
(log (* -2 (log u1)))
(log.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)))
(* -2 (log u1))
(*.f64 #s(literal -2 binary64) (log.f64 u1))
-2
#s(literal -2 binary64)
(log u1)
(log.f64 u1)
u1
(cos (* 2 (* (PI) u2)))
(cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))
(* 2 (* (PI) u2))
(*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))
2
#s(literal 2 binary64)
(* (PI) u2)
(*.f64 (PI.f64) u2)
(PI)
(PI.f64)
u2
(* (+ (pow (* (sqrt (* -2 (log u1))) (* 1/6 (cos (* 2 (* (PI) u2))))) 2) -1/4) (/ 1 (+ (* (sqrt (* -2 (log u1))) (* 1/6 (cos (* 2 (* (PI) u2))))) -1/2)))
(/.f64 (+.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))))) #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)))
(+ (pow (* (sqrt (* -2 (log u1))) (* 1/6 (cos (* 2 (* (PI) u2))))) 2) -1/4)
(+.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))))) #s(literal -1/4 binary64))
(pow (* (sqrt (* -2 (log u1))) (* 1/6 (cos (* 2 (* (PI) u2))))) 2)
(*.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))))))
(* (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
-1/4
#s(literal -1/4 binary64)
(/ 1 (+ (* (sqrt (* -2 (log u1))) (* 1/6 (cos (* 2 (* (PI) u2))))) -1/2))
(/.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)))
1
#s(literal 1 binary64)
(+ (* (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))
-1/2
#s(literal -1/2 binary64)
(/ (- 1/16 (pow (* (sqrt (* -2 (log u1))) (* 1/6 (cos (* 2 (* (PI) u2))))) 4)) (* (- 1/2 (* (sqrt (* -2 (log u1))) (* 1/6 (cos (* 2 (* (PI) u2)))))) (+ 1/4 (pow (* (sqrt (* -2 (log u1))) (* 1/6 (cos (* 2 (* (PI) u2))))) 2))))
(/.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 (*.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 (*.f64 #s(literal -2 binary64) (log.f64 u1)) (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))))) #s(literal -1/36 binary64)))))
(- 1/16 (pow (* (sqrt (* -2 (log u1))) (* 1/6 (cos (* 2 (* (PI) u2))))) 4))
(-.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)))
1/16
#s(literal 1/16 binary64)
(pow (* (sqrt (* -2 (log u1))) (* 1/6 (cos (* 2 (* (PI) u2))))) 4)
(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))
(* (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
4
#s(literal 4 binary64)
(* (- 1/2 (* (sqrt (* -2 (log u1))) (* 1/6 (cos (* 2 (* (PI) u2)))))) (+ 1/4 (pow (* (sqrt (* -2 (log u1))) (* 1/6 (cos (* 2 (* (PI) u2))))) 2)))
(*.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 #s(literal -1/4 binary64) (*.f64 (*.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))))) #s(literal -1/36 binary64))))
(- 1/2 (* (sqrt (* -2 (log u1))) (* 1/6 (cos (* 2 (* (PI) u2))))))
(+.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))) #s(literal -1/6 binary64))))
1/2
#s(literal 1/2 binary64)
(+ 1/4 (pow (* (sqrt (* -2 (log u1))) (* 1/6 (cos (* 2 (* (PI) u2))))) 2))
(+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))))))
1/4
#s(literal 1/4 binary64)
(pow (* (sqrt (* -2 (log u1))) (* 1/6 (cos (* 2 (* (PI) u2))))) 2)
(*.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))))))

localize446.0ms (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%
(sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)))
✓accuracy100.0%
(log.f64 u1)
✓accuracy100.0%
(cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))
✓accuracy3.1%
(PI.f64)
✓accuracy100.0%
(log.f64 u1)
✓accuracy100.0%
(exp.f64 (log.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))))
✓accuracy100.0%
(cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))
✓accuracy3.1%
(PI.f64)
✓accuracy100.0%
(*.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -2 binary64)))
✓accuracy100.0%
(sqrt.f64 (log.f64 u1))
✓accuracy100.0%
(sqrt.f64 #s(literal -2 binary64))
✓accuracy100.0%
(log.f64 u1)
✓accuracy100.0%
(*.f64 #s(literal -2 binary64) (log.f64 u1))
✓accuracy100.0%
(log.f64 u1)
✓accuracy100.0%
(cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))
✓accuracy3.1%
(PI.f64)
Results
258.0ms256×0invalid
Compiler

Compiled 622 to 49 computations (92.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 148.0ms
ival-div: 51.0ms (34.4% of total)
ival-mult: 35.0ms (23.6% of total)
ival-pow: 20.0ms (13.5% of total)
...c/correct-round.rkt:119:19: 13.0ms (8.8% of total)
ival-log: 8.0ms (5.4% of total)
ival-add: 7.0ms (4.7% of total)
ival-sqrt: 5.0ms (3.4% of total)
ival-exp: 3.0ms (2% of total)
ival-sub: 2.0ms (1.3% of total)
ival-cos: 2.0ms (1.3% of total)
ival-pi: 1.0ms (0.7% of total)
const: 1.0ms (0.7% of total)
backward-pass: 0.0ms (0% of total)

series110.0ms (0.9%)

Counts
26 → 408
Calls
Call 1
Inputs
#<alt (+ 1/2 (* (* 1/6 (pow (* (* -2 (log u1)) (* -2 (log u1))) 1/4)) (cos (* 2 (* (PI) u2)))))>
#<alt (* (* 1/6 (pow (* (* -2 (log u1)) (* -2 (log u1))) 1/4)) (cos (* 2 (* (PI) u2))))>
#<alt (* 1/6 (pow (* (* -2 (log u1)) (* -2 (log u1))) 1/4))>
#<alt (pow (* (* -2 (log u1)) (* -2 (log u1))) 1/4)>
#<alt (+ 1/2 (* (sqrt (log u1)) (* 1/6 (sqrt -2))))>
#<alt (* (sqrt (log u1)) (* 1/6 (sqrt -2)))>
#<alt (sqrt (log u1))>
#<alt (log u1)>
#<alt (+ 1/2 (* (* 1/6 (pow (exp (log (* -2 (log u1)))) 1/2)) (cos (* 2 (* (PI) u2)))))>
#<alt (* (* 1/6 (pow (exp (log (* -2 (log u1)))) 1/2)) (cos (* 2 (* (PI) u2))))>
#<alt (* 1/6 (pow (exp (log (* -2 (log u1)))) 1/2))>
#<alt (pow (exp (log (* -2 (log u1)))) 1/2)>
#<alt (* (+ (pow (* (sqrt (* -2 (log u1))) (* 1/6 (cos (* 2 (* (PI) u2))))) 2) -1/4) (/ 1 (+ (* (sqrt (* -2 (log u1))) (* 1/6 (cos (* 2 (* (PI) u2))))) -1/2)))>
#<alt (+ (pow (* (sqrt (* -2 (log u1))) (* 1/6 (cos (* 2 (* (PI) u2))))) 2) -1/4)>
#<alt (pow (* (sqrt (* -2 (log u1))) (* 1/6 (cos (* 2 (* (PI) u2))))) 2)>
#<alt (* (sqrt (* -2 (log u1))) (* 1/6 (cos (* 2 (* (PI) u2)))))>
#<alt (/ (- 1/16 (pow (* (sqrt (* -2 (log u1))) (* 1/6 (cos (* 2 (* (PI) u2))))) 4)) (* (- 1/2 (* (sqrt (* -2 (log u1))) (* 1/6 (cos (* 2 (* (PI) u2)))))) (+ 1/4 (pow (* (sqrt (* -2 (log u1))) (* 1/6 (cos (* 2 (* (PI) u2))))) 2))))>
#<alt (* (- 1/2 (* (sqrt (* -2 (log u1))) (* 1/6 (cos (* 2 (* (PI) u2)))))) (+ 1/4 (pow (* (sqrt (* -2 (log u1))) (* 1/6 (cos (* 2 (* (PI) u2))))) 2)))>
#<alt (+ 1/4 (pow (* (sqrt (* -2 (log u1))) (* 1/6 (cos (* 2 (* (PI) u2))))) 2))>
#<alt (PI)>
#<alt (cos (* 2 (* (PI) u2)))>
#<alt (* -2 (log u1))>
#<alt (sqrt -2)>
#<alt (* 1/6 (sqrt -2))>
#<alt (exp (log (* -2 (log u1))))>
#<alt (sqrt (* -2 (log u1)))>
Outputs
#<alt (+ 1/2 (* 1/6 (* (pow 4 1/4) (* (cos (* 2 (* u2 (PI)))) (sqrt (log u1))))))>
#<alt (+ 1/2 (* 1/6 (* (pow 4 1/4) (* (cos (* 2 (* u2 (PI)))) (sqrt (log u1))))))>
#<alt (+ 1/2 (* 1/6 (* (pow 4 1/4) (* (cos (* 2 (* u2 (PI)))) (sqrt (log u1))))))>
#<alt (+ 1/2 (* 1/6 (* (pow 4 1/4) (* (cos (* 2 (* u2 (PI)))) (sqrt (log u1))))))>
#<alt (+ 1/2 (* 1/6 (* (pow 4 1/4) (* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (log (/ 1 u1)))))))>
#<alt (+ 1/2 (* 1/6 (* (pow 4 1/4) (* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (log (/ 1 u1)))))))>
#<alt (+ 1/2 (* 1/6 (* (pow 4 1/4) (* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (log (/ 1 u1)))))))>
#<alt (+ 1/2 (* 1/6 (* (pow 4 1/4) (* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (log (/ 1 u1)))))))>
#<alt (+ 1/2 (* 1/6 (* (pow 4 1/4) (* (cos (* 2 (* u2 (PI)))) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))))))>
#<alt (+ 1/2 (* 1/6 (* (pow 4 1/4) (* (cos (* 2 (* u2 (PI)))) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))))))>
#<alt (+ 1/2 (* 1/6 (* (pow 4 1/4) (* (cos (* 2 (* u2 (PI)))) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))))))>
#<alt (+ 1/2 (* 1/6 (* (pow 4 1/4) (* (cos (* 2 (* u2 (PI)))) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))))))>
#<alt (+ 1/2 (* 1/6 (* (pow 4 1/4) (sqrt (log u1)))))>
#<alt (+ 1/2 (+ (* -1/3 (* (pow 4 1/4) (* (* (pow u2 2) (pow (PI) 2)) (sqrt (log u1))))) (* 1/6 (* (pow 4 1/4) (sqrt (log u1))))))>
#<alt (+ 1/2 (+ (* 1/6 (* (pow 4 1/4) (sqrt (log u1)))) (* (pow u2 2) (+ (* -1/3 (* (pow 4 1/4) (* (pow (PI) 2) (sqrt (log u1))))) (* 1/9 (* (pow 4 1/4) (* (* (pow u2 2) (pow (PI) 4)) (sqrt (log u1)))))))))>
#<alt (+ 1/2 (+ (* 1/6 (* (pow 4 1/4) (sqrt (log u1)))) (* (pow u2 2) (+ (* -1/3 (* (pow 4 1/4) (* (pow (PI) 2) (sqrt (log u1))))) (* (pow u2 2) (+ (* -2/135 (* (pow 4 1/4) (* (* (pow u2 2) (pow (PI) 6)) (sqrt (log u1))))) (* 1/9 (* (pow 4 1/4) (* (pow (PI) 4) (sqrt (log u1)))))))))))>
#<alt (+ 1/2 (* 1/6 (* (pow 4 1/4) (* (cos (* 2 (* u2 (PI)))) (sqrt (log u1))))))>
#<alt (+ 1/2 (* 1/6 (* (pow 4 1/4) (* (cos (* 2 (* u2 (PI)))) (sqrt (log u1))))))>
#<alt (+ 1/2 (* 1/6 (* (pow 4 1/4) (* (cos (* 2 (* u2 (PI)))) (sqrt (log u1))))))>
#<alt (+ 1/2 (* 1/6 (* (pow 4 1/4) (* (cos (* 2 (* u2 (PI)))) (sqrt (log u1))))))>
#<alt (+ 1/2 (* 1/6 (* (pow 4 1/4) (* (cos (* 2 (* u2 (PI)))) (sqrt (log u1))))))>
#<alt (+ 1/2 (* 1/6 (* (pow 4 1/4) (* (cos (* 2 (* u2 (PI)))) (sqrt (log u1))))))>
#<alt (+ 1/2 (* 1/6 (* (pow 4 1/4) (* (cos (* 2 (* u2 (PI)))) (sqrt (log u1))))))>
#<alt (+ 1/2 (* 1/6 (* (pow 4 1/4) (* (cos (* 2 (* u2 (PI)))) (sqrt (log u1))))))>
#<alt (* 1/6 (* (pow 4 1/4) (* (cos (* 2 (* u2 (PI)))) (sqrt (log u1)))))>
#<alt (* 1/6 (* (pow 4 1/4) (* (cos (* 2 (* u2 (PI)))) (sqrt (log u1)))))>
#<alt (* 1/6 (* (pow 4 1/4) (* (cos (* 2 (* u2 (PI)))) (sqrt (log u1)))))>
#<alt (* 1/6 (* (pow 4 1/4) (* (cos (* 2 (* u2 (PI)))) (sqrt (log u1)))))>
#<alt (* 1/6 (* (pow 4 1/4) (* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (log (/ 1 u1))))))>
#<alt (* 1/6 (* (pow 4 1/4) (* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (log (/ 1 u1))))))>
#<alt (* 1/6 (* (pow 4 1/4) (* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (log (/ 1 u1))))))>
#<alt (* 1/6 (* (pow 4 1/4) (* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (log (/ 1 u1))))))>
#<alt (* 1/6 (* (pow 4 1/4) (* (cos (* 2 (* u2 (PI)))) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))))>
#<alt (* 1/6 (* (pow 4 1/4) (* (cos (* 2 (* u2 (PI)))) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))))>
#<alt (* 1/6 (* (pow 4 1/4) (* (cos (* 2 (* u2 (PI)))) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))))>
#<alt (* 1/6 (* (pow 4 1/4) (* (cos (* 2 (* u2 (PI)))) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))))>
#<alt (* 1/6 (* (pow 4 1/4) (sqrt (log u1))))>
#<alt (+ (* -1/3 (* (pow 4 1/4) (* (* (pow u2 2) (pow (PI) 2)) (sqrt (log u1))))) (* 1/6 (* (pow 4 1/4) (sqrt (log u1)))))>
#<alt (+ (* 1/6 (* (pow 4 1/4) (sqrt (log u1)))) (* (pow u2 2) (+ (* -1/3 (* (pow 4 1/4) (* (pow (PI) 2) (sqrt (log u1))))) (* 1/9 (* (pow 4 1/4) (* (* (pow u2 2) (pow (PI) 4)) (sqrt (log u1))))))))>
#<alt (+ (* 1/6 (* (pow 4 1/4) (sqrt (log u1)))) (* (pow u2 2) (+ (* -1/3 (* (pow 4 1/4) (* (pow (PI) 2) (sqrt (log u1))))) (* (pow u2 2) (+ (* -2/135 (* (pow 4 1/4) (* (* (pow u2 2) (pow (PI) 6)) (sqrt (log u1))))) (* 1/9 (* (pow 4 1/4) (* (pow (PI) 4) (sqrt (log u1))))))))))>
#<alt (* 1/6 (* (pow 4 1/4) (* (cos (* 2 (* u2 (PI)))) (sqrt (log u1)))))>
#<alt (* 1/6 (* (pow 4 1/4) (* (cos (* 2 (* u2 (PI)))) (sqrt (log u1)))))>
#<alt (* 1/6 (* (pow 4 1/4) (* (cos (* 2 (* u2 (PI)))) (sqrt (log u1)))))>
#<alt (* 1/6 (* (pow 4 1/4) (* (cos (* 2 (* u2 (PI)))) (sqrt (log u1)))))>
#<alt (* 1/6 (* (pow 4 1/4) (* (cos (* 2 (* u2 (PI)))) (sqrt (log u1)))))>
#<alt (* 1/6 (* (pow 4 1/4) (* (cos (* 2 (* u2 (PI)))) (sqrt (log u1)))))>
#<alt (* 1/6 (* (pow 4 1/4) (* (cos (* 2 (* u2 (PI)))) (sqrt (log u1)))))>
#<alt (* 1/6 (* (pow 4 1/4) (* (cos (* 2 (* u2 (PI)))) (sqrt (log u1)))))>
#<alt (* 1/6 (* (pow 4 1/4) (sqrt (log u1))))>
#<alt (* 1/6 (* (pow 4 1/4) (sqrt (log u1))))>
#<alt (* 1/6 (* (pow 4 1/4) (sqrt (log u1))))>
#<alt (* 1/6 (* (pow 4 1/4) (sqrt (log u1))))>
#<alt (* 1/6 (* (pow 4 1/4) (* (sqrt (log (/ 1 u1))) (sqrt -1))))>
#<alt (* 1/6 (* (pow 4 1/4) (* (sqrt (log (/ 1 u1))) (sqrt -1))))>
#<alt (* 1/6 (* (pow 4 1/4) (* (sqrt (log (/ 1 u1))) (sqrt -1))))>
#<alt (* 1/6 (* (pow 4 1/4) (* (sqrt (log (/ 1 u1))) (sqrt -1))))>
#<alt (* 1/6 (* (pow 4 1/4) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))))>
#<alt (* 1/6 (* (pow 4 1/4) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))))>
#<alt (* 1/6 (* (pow 4 1/4) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))))>
#<alt (* 1/6 (* (pow 4 1/4) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))))>
#<alt (* (pow 4 1/4) (sqrt (log u1)))>
#<alt (* (pow 4 1/4) (sqrt (log u1)))>
#<alt (* (pow 4 1/4) (sqrt (log u1)))>
#<alt (* (pow 4 1/4) (sqrt (log u1)))>
#<alt (* (pow 4 1/4) (* (sqrt (log (/ 1 u1))) (sqrt -1)))>
#<alt (* (pow 4 1/4) (* (sqrt (log (/ 1 u1))) (sqrt -1)))>
#<alt (* (pow 4 1/4) (* (sqrt (log (/ 1 u1))) (sqrt -1)))>
#<alt (* (pow 4 1/4) (* (sqrt (log (/ 1 u1))) (sqrt -1)))>
#<alt (* (pow 4 1/4) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))>
#<alt (* (pow 4 1/4) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))>
#<alt (* (pow 4 1/4) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))>
#<alt (* (pow 4 1/4) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))>
#<alt (+ 1/2 (* 1/6 (* (sqrt (log u1)) (sqrt -2))))>
#<alt (+ 1/2 (* 1/6 (* (sqrt (log u1)) (sqrt -2))))>
#<alt (+ 1/2 (* 1/6 (* (sqrt (log u1)) (sqrt -2))))>
#<alt (+ 1/2 (* 1/6 (* (sqrt (log u1)) (sqrt -2))))>
#<alt (+ 1/2 (* 1/6 (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1)))))>
#<alt (+ 1/2 (* 1/6 (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1)))))>
#<alt (+ 1/2 (* 1/6 (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1)))))>
#<alt (+ 1/2 (* 1/6 (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1)))))>
#<alt (+ 1/2 (* 1/6 (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))))>
#<alt (+ 1/2 (* 1/6 (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))))>
#<alt (+ 1/2 (* 1/6 (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))))>
#<alt (+ 1/2 (* 1/6 (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))))>
#<alt (* 1/6 (* (sqrt (log u1)) (sqrt -2)))>
#<alt (* 1/6 (* (sqrt (log u1)) (sqrt -2)))>
#<alt (* 1/6 (* (sqrt (log u1)) (sqrt -2)))>
#<alt (* 1/6 (* (sqrt (log u1)) (sqrt -2)))>
#<alt (* 1/6 (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1))))>
#<alt (* 1/6 (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1))))>
#<alt (* 1/6 (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1))))>
#<alt (* 1/6 (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1))))>
#<alt (* 1/6 (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))))>
#<alt (* 1/6 (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))))>
#<alt (* 1/6 (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))))>
#<alt (* 1/6 (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))))>
#<alt (sqrt (log u1))>
#<alt (sqrt (log u1))>
#<alt (sqrt (log u1))>
#<alt (sqrt (log u1))>
#<alt (* (sqrt (log (/ 1 u1))) (sqrt -1))>
#<alt (* (sqrt (log (/ 1 u1))) (sqrt -1))>
#<alt (* (sqrt (log (/ 1 u1))) (sqrt -1))>
#<alt (* (sqrt (log (/ 1 u1))) (sqrt -1))>
#<alt (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))>
#<alt (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))>
#<alt (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))>
#<alt (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))>
#<alt (log u1)>
#<alt (log u1)>
#<alt (log u1)>
#<alt (log u1)>
#<alt (* -1 (log (/ 1 u1)))>
#<alt (* -1 (log (/ 1 u1)))>
#<alt (* -1 (log (/ 1 u1)))>
#<alt (* -1 (log (/ 1 u1)))>
#<alt (+ (log -1) (* -1 (log (/ -1 u1))))>
#<alt (+ (log -1) (* -1 (log (/ -1 u1))))>
#<alt (+ (log -1) (* -1 (log (/ -1 u1))))>
#<alt (+ (log -1) (* -1 (log (/ -1 u1))))>
#<alt (+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))))>
#<alt (+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))))>
#<alt (+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))))>
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Calls

102 calls:

TimeVariablePointExpression
39.0ms
u1
@0
(+ 1/2 (* (* 1/6 (pow (* (* -2 (log u1)) (* -2 (log u1))) 1/4)) (cos (* 2 (* (PI) u2)))))
7.0ms
u2
@0
(/ (- 1/16 (pow (* (sqrt (* -2 (log u1))) (* 1/6 (cos (* 2 (* (PI) u2))))) 4)) (* (- 1/2 (* (sqrt (* -2 (log u1))) (* 1/6 (cos (* 2 (* (PI) u2)))))) (+ 1/4 (pow (* (sqrt (* -2 (log u1))) (* 1/6 (cos (* 2 (* (PI) u2))))) 2))))
6.0ms
u2
@inf
(+ 1/2 (* (* 1/6 (pow (* (* -2 (log u1)) (* -2 (log u1))) 1/4)) (cos (* 2 (* (PI) u2)))))
5.0ms
u1
@0
(/ (- 1/16 (pow (* (sqrt (* -2 (log u1))) (* 1/6 (cos (* 2 (* (PI) u2))))) 4)) (* (- 1/2 (* (sqrt (* -2 (log u1))) (* 1/6 (cos (* 2 (* (PI) u2)))))) (+ 1/4 (pow (* (sqrt (* -2 (log u1))) (* 1/6 (cos (* 2 (* (PI) u2))))) 2))))
3.0ms
u2
@0
(* (+ (pow (* (sqrt (* -2 (log u1))) (* 1/6 (cos (* 2 (* (PI) u2))))) 2) -1/4) (/ 1 (+ (* (sqrt (* -2 (log u1))) (* 1/6 (cos (* 2 (* (PI) u2))))) -1/2)))

rewrite202.0ms (1.7%)

Algorithm
1×batch-egg-rewrite
Rules
1178×*-lowering-*.f32
1178×*-lowering-*.f64
602×/-lowering-/.f32
602×/-lowering-/.f64
390×+-lowering-+.f64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
048265
1293256
01931256
Stop Event
1×iter limit
1×iter limit
1×node limit
Counts
26 → 593
Calls
Call 1
Inputs
(+ 1/2 (* (* 1/6 (pow (* (* -2 (log u1)) (* -2 (log u1))) 1/4)) (cos (* 2 (* (PI) u2)))))
(* (* 1/6 (pow (* (* -2 (log u1)) (* -2 (log u1))) 1/4)) (cos (* 2 (* (PI) u2))))
(* 1/6 (pow (* (* -2 (log u1)) (* -2 (log u1))) 1/4))
(pow (* (* -2 (log u1)) (* -2 (log u1))) 1/4)
(+ 1/2 (* (sqrt (log u1)) (* 1/6 (sqrt -2))))
(* (sqrt (log u1)) (* 1/6 (sqrt -2)))
(sqrt (log u1))
(log u1)
(+ 1/2 (* (* 1/6 (pow (exp (log (* -2 (log u1)))) 1/2)) (cos (* 2 (* (PI) u2)))))
(* (* 1/6 (pow (exp (log (* -2 (log u1)))) 1/2)) (cos (* 2 (* (PI) u2))))
(* 1/6 (pow (exp (log (* -2 (log u1)))) 1/2))
(pow (exp (log (* -2 (log u1)))) 1/2)
(* (+ (pow (* (sqrt (* -2 (log u1))) (* 1/6 (cos (* 2 (* (PI) u2))))) 2) -1/4) (/ 1 (+ (* (sqrt (* -2 (log u1))) (* 1/6 (cos (* 2 (* (PI) u2))))) -1/2)))
(+ (pow (* (sqrt (* -2 (log u1))) (* 1/6 (cos (* 2 (* (PI) u2))))) 2) -1/4)
(pow (* (sqrt (* -2 (log u1))) (* 1/6 (cos (* 2 (* (PI) u2))))) 2)
(* (sqrt (* -2 (log u1))) (* 1/6 (cos (* 2 (* (PI) u2)))))
(/ (- 1/16 (pow (* (sqrt (* -2 (log u1))) (* 1/6 (cos (* 2 (* (PI) u2))))) 4)) (* (- 1/2 (* (sqrt (* -2 (log u1))) (* 1/6 (cos (* 2 (* (PI) u2)))))) (+ 1/4 (pow (* (sqrt (* -2 (log u1))) (* 1/6 (cos (* 2 (* (PI) u2))))) 2))))
(* (- 1/2 (* (sqrt (* -2 (log u1))) (* 1/6 (cos (* 2 (* (PI) u2)))))) (+ 1/4 (pow (* (sqrt (* -2 (log u1))) (* 1/6 (cos (* 2 (* (PI) u2))))) 2)))
(+ 1/4 (pow (* (sqrt (* -2 (log u1))) (* 1/6 (cos (* 2 (* (PI) u2))))) 2))
(PI)
(cos (* 2 (* (PI) u2)))
(* -2 (log u1))
(sqrt -2)
(* 1/6 (sqrt -2))
(exp (log (* -2 (log u1))))
(sqrt (* -2 (log u1)))
Outputs
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))))))
(+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))))) #s(literal 1/2 binary64))
(+.f64 (/.f64 (/.f64 #s(literal 1/16 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))))))) (+.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))))) #s(literal 2 binary64)))) (neg.f64 (/.f64 (/.f64 (pow.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))))) #s(literal 4 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))))))) (+.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))))) #s(literal 2 binary64))))))
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))))) #s(literal -1/2 binary64))) (pow.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))))) #s(literal 2 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))))) #s(literal -1/2 binary64))) #s(literal -1/4 binary64)))
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))))) #s(literal -1/2 binary64))) #s(literal -1/4 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))))) #s(literal -1/2 binary64))) (pow.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))))) #s(literal 2 binary64))))
(+.f64 (*.f64 (pow.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))))) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))))) #s(literal -1/2 binary64)))) (*.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))))) #s(literal -1/2 binary64)))))
(+.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))))) #s(literal -1/2 binary64)))) (*.f64 (pow.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))))) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))))) #s(literal -1/2 binary64)))))
(-.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))))) #s(literal -1/2 binary64))
(-.f64 (/.f64 (/.f64 #s(literal 1/16 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))))))) (+.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))))) #s(literal 2 binary64)))) (/.f64 (/.f64 (pow.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))))) #s(literal 4 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))))))) (+.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))))) #s(literal 2 binary64)))))
(-.f64 (/.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))))))) (/.f64 (pow.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))))) #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))))))))
(fma.f64 #s(literal 1/6 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)))) #s(literal 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 (*.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 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))) #s(literal 1/2 binary64))
(fma.f64 (*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal 1/2 binary64))
(neg.f64 (/.f64 (-.f64 #s(literal 1/16 binary64) (pow.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))))) #s(literal 4 binary64))) (*.f64 (+.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))))) #s(literal 2 binary64))) (neg.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))))))))))
(neg.f64 (/.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1/16 binary64) (pow.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))))) #s(literal 4 binary64)))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)))))) (+.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))))) #s(literal 2 binary64))))))
(/.f64 (+.f64 (pow.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))))) #s(literal 2 binary64)) #s(literal -1/4 binary64)) (+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))))) #s(literal -1/2 binary64)))
(/.f64 (+.f64 (pow.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))))) #s(literal 2 binary64)) #s(literal -1/4 binary64)) (-.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))))) #s(literal 1/2 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))))) (-.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))))) #s(literal 1/2 binary64)))) (+.f64 (pow.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))))) #s(literal 3 binary64)) #s(literal 1/8 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)))))) (-.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))))) #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))))) #s(literal -1/2 binary64)) (+.f64 (pow.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))))) #s(literal 2 binary64)) #s(literal -1/4 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))))))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))))) #s(literal 2 binary64))) (/.f64 (-.f64 #s(literal 1/16 binary64) (pow.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))))) #s(literal 4 binary64))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)))))))))
(/.f64 (-.f64 #s(literal 1/16 binary64) (pow.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))))) #s(literal 4 binary64))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)))))) (+.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))))) #s(literal 2 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)))))))))
(/.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1/16 binary64) (pow.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))))) #s(literal 4 binary64)))) (*.f64 (+.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))))) #s(literal 2 binary64))) (neg.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)))))))))
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(*.f64 (pow.f64 #s(literal -2 binary64) #s(literal 1/4 binary64)) (pow.f64 (*.f64 (pow.f64 (log.f64 u1) #s(literal 2 binary64)) #s(literal -2 binary64)) #s(literal 1/4 binary64)))
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simplify402.0ms (3.5%)

Algorithm
1×egg-herbie
Rules
6758×*-lowering-*.f32
6758×*-lowering-*.f64
1878×+-lowering-+.f64
1878×+-lowering-+.f32
1560×sum3-define
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
045711856
1152610052
266529980
081949980
Stop Event
1×iter limit
1×node limit
Counts
408 → 408
Calls
Call 1
Inputs
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(/ (- 1/16 (* 1/1296 (* (pow (cos (* 2 (* u2 (PI)))) 4) (* (pow (log u1) 2) (pow (sqrt -2) 4))))) (* (+ 1/4 (* 1/36 (* (pow (cos (* 2 (* u2 (PI)))) 2) (* (log u1) (pow (sqrt -2) 2))))) (- 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))))))
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(/ (- 1/16 (* 1/1296 (* (pow (cos (* 2 (* u2 (PI)))) 4) (* (pow (log u1) 2) (pow (sqrt -2) 4))))) (* (+ 1/4 (* 1/36 (* (pow (cos (* 2 (* u2 (PI)))) 2) (* (log u1) (pow (sqrt -2) 2))))) (- 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))))))
(/ (- 1/16 (* 1/1296 (* (pow (cos (* 2 (* u2 (PI)))) 4) (* (pow (log u1) 2) (pow (sqrt -2) 4))))) (* (+ 1/4 (* 1/36 (* (pow (cos (* 2 (* u2 (PI)))) 2) (* (log u1) (pow (sqrt -2) 2))))) (- 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))))))
(/ (- 1/16 (* 1/1296 (* (pow (cos (* 2 (* u2 (PI)))) 4) (* (pow (log u1) 2) (pow (sqrt -2) 4))))) (* (+ 1/4 (* 1/36 (* (pow (cos (* 2 (* u2 (PI)))) 2) (* (log u1) (pow (sqrt -2) 2))))) (- 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))))))
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(* (+ 1/4 (* -1/36 (* (pow (cos (* 2 (* u2 (PI)))) 2) (* (log (/ 1 u1)) (pow (sqrt -2) 2))))) (- 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -2) (sqrt -1))) (sqrt (log (/ 1 u1)))))))
(* (+ 1/4 (* -1/36 (* (pow (cos (* 2 (* u2 (PI)))) 2) (* (log (/ 1 u1)) (pow (sqrt -2) 2))))) (- 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -2) (sqrt -1))) (sqrt (log (/ 1 u1)))))))
(* (+ 1/4 (* 1/36 (* (pow (cos (* 2 (* u2 (PI)))) 2) (* (pow (sqrt -2) 2) (+ (log -1) (* -1 (log (/ -1 u1)))))))) (- 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))))))
(* (+ 1/4 (* 1/36 (* (pow (cos (* 2 (* u2 (PI)))) 2) (* (pow (sqrt -2) 2) (+ (log -1) (* -1 (log (/ -1 u1)))))))) (- 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))))))
(* (+ 1/4 (* 1/36 (* (pow (cos (* 2 (* u2 (PI)))) 2) (* (pow (sqrt -2) 2) (+ (log -1) (* -1 (log (/ -1 u1)))))))) (- 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))))))
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(* (+ 1/4 (* 1/36 (* (log u1) (pow (sqrt -2) 2)))) (- 1/2 (* 1/6 (* (sqrt (log u1)) (sqrt -2)))))
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1
(+ 1 (* -2 (* (pow u2 2) (pow (PI) 2))))
(+ 1 (* (pow u2 2) (+ (* -2 (pow (PI) 2)) (* 2/3 (* (pow u2 2) (pow (PI) 4))))))
(+ 1 (* (pow u2 2) (+ (* -2 (pow (PI) 2)) (* (pow u2 2) (+ (* -4/45 (* (pow u2 2) (pow (PI) 6))) (* 2/3 (pow (PI) 4)))))))
(cos (* 2 (* u2 (PI))))
(cos (* 2 (* u2 (PI))))
(cos (* 2 (* u2 (PI))))
(cos (* 2 (* u2 (PI))))
(cos (* 2 (* u2 (PI))))
(cos (* 2 (* u2 (PI))))
(cos (* 2 (* u2 (PI))))
(cos (* 2 (* u2 (PI))))
(* -2 (log u1))
(* -2 (log u1))
(* -2 (log u1))
(* -2 (log u1))
(* 2 (log (/ 1 u1)))
(* 2 (log (/ 1 u1)))
(* 2 (log (/ 1 u1)))
(* 2 (log (/ 1 u1)))
(* -2 (+ (log -1) (* -1 (log (/ -1 u1)))))
(* -2 (+ (log -1) (* -1 (log (/ -1 u1)))))
(* -2 (+ (log -1) (* -1 (log (/ -1 u1)))))
(* -2 (+ (log -1) (* -1 (log (/ -1 u1)))))
(* -2 (log u1))
(* -2 (log u1))
(* -2 (log u1))
(* -2 (log u1))
(* 2 (log (/ 1 u1)))
(* 2 (log (/ 1 u1)))
(* 2 (log (/ 1 u1)))
(* 2 (log (/ 1 u1)))
(* -2 (+ (log -1) (* -1 (log (/ -1 u1)))))
(* -2 (+ (log -1) (* -1 (log (/ -1 u1)))))
(* -2 (+ (log -1) (* -1 (log (/ -1 u1)))))
(* -2 (+ (log -1) (* -1 (log (/ -1 u1)))))
(* (sqrt (log u1)) (sqrt -2))
(* (sqrt (log u1)) (sqrt -2))
(* (sqrt (log u1)) (sqrt -2))
(* (sqrt (log u1)) (sqrt -2))
(* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1)))
(* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1)))
(* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1)))
(* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1)))
(* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))
(* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))
(* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))
(* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))
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(+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (-.f64 #s(literal 0 binary64) (log.f64 u1)) (pow.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 u2 (PI.f64)))) #s(literal 2 binary64))) #s(literal 1/18 binary64)))
(+ 1/4 (* -1/36 (* (pow (cos (* 2 (* u2 (PI)))) 2) (* (log (/ 1 u1)) (pow (sqrt -2) 2)))))
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(+ 1/4 (* 1/36 (* (pow (cos (* 2 (* u2 (PI)))) 2) (* (pow (sqrt -2) 2) (+ (log -1) (* -1 (log (/ -1 u1))))))))
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(+ 1/4 (* 1/36 (* (pow (cos (* 2 (* u2 (PI)))) 2) (* (pow (sqrt -2) 2) (+ (log -1) (* -1 (log (/ -1 u1))))))))
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(+ 1/4 (* 1/36 (* (pow (cos (* 2 (* u2 (PI)))) 2) (* (pow (sqrt -2) 2) (+ (log -1) (* -1 (log (/ -1 u1))))))))
(+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) u1))) #s(literal -2 binary64))) (pow.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 u2 (PI.f64)))) #s(literal 2 binary64))))
(+ 1/4 (* 1/36 (* (pow (cos (* 2 (* u2 (PI)))) 2) (* (pow (sqrt -2) 2) (+ (log -1) (* -1 (log (/ -1 u1))))))))
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(+ 1/4 (+ (* -1/9 (* (pow u2 2) (* (pow (PI) 2) (* (log u1) (pow (sqrt -2) 2))))) (* 1/36 (* (log u1) (pow (sqrt -2) 2)))))
(+.f64 #s(literal 1/4 binary64) (+.f64 (*.f64 (log.f64 u1) #s(literal -1/18 binary64)) (*.f64 (*.f64 u2 u2) (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (log.f64 u1))) #s(literal 2/9 binary64)))))
(+ 1/4 (+ (* 1/36 (* (log u1) (pow (sqrt -2) 2))) (* (pow u2 2) (+ (* -1/9 (* (pow (PI) 2) (* (log u1) (pow (sqrt -2) 2)))) (* 1/36 (* (pow u2 2) (* (log u1) (* (pow (sqrt -2) 2) (+ (* 4/3 (pow (PI) 4)) (* 4 (pow (PI) 4)))))))))))
(+.f64 (*.f64 u2 (*.f64 u2 (+.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (log.f64 u1))) #s(literal 2/9 binary64)) (*.f64 (*.f64 (log.f64 u1) (*.f64 (pow.f64 (PI.f64) #s(literal 4 binary64)) #s(literal -32/3 binary64))) (*.f64 (*.f64 u2 u2) #s(literal 1/36 binary64)))))) (+.f64 #s(literal 1/4 binary64) (*.f64 (log.f64 u1) #s(literal -1/18 binary64))))
(+ 1/4 (+ (* 1/36 (* (log u1) (pow (sqrt -2) 2))) (* (pow u2 2) (+ (* -1/9 (* (pow (PI) 2) (* (log u1) (pow (sqrt -2) 2)))) (* (pow u2 2) (+ (* 1/36 (* (log u1) (* (pow (sqrt -2) 2) (+ (* 4/3 (pow (PI) 4)) (* 4 (pow (PI) 4)))))) (* 1/36 (* (pow u2 2) (* (log u1) (* (pow (sqrt -2) 2) (+ (* -8/3 (pow (PI) 6)) (* -8/45 (pow (PI) 6)))))))))))))
(+.f64 (*.f64 (*.f64 u2 u2) (+.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (log.f64 u1))) #s(literal 2/9 binary64)) (*.f64 (*.f64 (*.f64 u2 u2) #s(literal 1/36 binary64)) (+.f64 (*.f64 (log.f64 u1) (*.f64 (pow.f64 (PI.f64) #s(literal 4 binary64)) #s(literal -32/3 binary64))) (*.f64 (*.f64 u2 u2) (*.f64 (log.f64 u1) (*.f64 (pow.f64 (PI.f64) #s(literal 6 binary64)) #s(literal 256/45 binary64)))))))) (+.f64 #s(literal 1/4 binary64) (*.f64 (log.f64 u1) #s(literal -1/18 binary64))))
(+ 1/4 (* 1/36 (* (pow (cos (* 2 (* u2 (PI)))) 2) (* (log u1) (pow (sqrt -2) 2)))))
(+.f64 #s(literal 1/4 binary64) (*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 u2 (PI.f64)))) #s(literal 2 binary64)) (*.f64 (log.f64 u1) #s(literal -1/18 binary64))))
(+ 1/4 (* 1/36 (* (pow (cos (* 2 (* u2 (PI)))) 2) (* (log u1) (pow (sqrt -2) 2)))))
(+.f64 #s(literal 1/4 binary64) (*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 u2 (PI.f64)))) #s(literal 2 binary64)) (*.f64 (log.f64 u1) #s(literal -1/18 binary64))))
(+ 1/4 (* 1/36 (* (pow (cos (* 2 (* u2 (PI)))) 2) (* (log u1) (pow (sqrt -2) 2)))))
(+.f64 #s(literal 1/4 binary64) (*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 u2 (PI.f64)))) #s(literal 2 binary64)) (*.f64 (log.f64 u1) #s(literal -1/18 binary64))))
(+ 1/4 (* 1/36 (* (pow (cos (* 2 (* u2 (PI)))) 2) (* (log u1) (pow (sqrt -2) 2)))))
(+.f64 #s(literal 1/4 binary64) (*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 u2 (PI.f64)))) #s(literal 2 binary64)) (*.f64 (log.f64 u1) #s(literal -1/18 binary64))))
(+ 1/4 (* 1/36 (* (pow (cos (* 2 (* u2 (PI)))) 2) (* (log u1) (pow (sqrt -2) 2)))))
(+.f64 #s(literal 1/4 binary64) (*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 u2 (PI.f64)))) #s(literal 2 binary64)) (*.f64 (log.f64 u1) #s(literal -1/18 binary64))))
(+ 1/4 (* 1/36 (* (pow (cos (* 2 (* u2 (PI)))) 2) (* (log u1) (pow (sqrt -2) 2)))))
(+.f64 #s(literal 1/4 binary64) (*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 u2 (PI.f64)))) #s(literal 2 binary64)) (*.f64 (log.f64 u1) #s(literal -1/18 binary64))))
(+ 1/4 (* 1/36 (* (pow (cos (* 2 (* u2 (PI)))) 2) (* (log u1) (pow (sqrt -2) 2)))))
(+.f64 #s(literal 1/4 binary64) (*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 u2 (PI.f64)))) #s(literal 2 binary64)) (*.f64 (log.f64 u1) #s(literal -1/18 binary64))))
(+ 1/4 (* 1/36 (* (pow (cos (* 2 (* u2 (PI)))) 2) (* (log u1) (pow (sqrt -2) 2)))))
(+.f64 #s(literal 1/4 binary64) (*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 u2 (PI.f64)))) #s(literal 2 binary64)) (*.f64 (log.f64 u1) #s(literal -1/18 binary64))))
1
#s(literal 1 binary64)
(+ 1 (* -2 (* (pow u2 2) (pow (PI) 2))))
(+.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 (*.f64 u2 (*.f64 u2 (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 (*.f64 u2 u2) (*.f64 (pow.f64 (PI.f64) #s(literal 6 binary64)) #s(literal -4/45 binary64))) (*.f64 (pow.f64 (PI.f64) #s(literal 4 binary64)) #s(literal 2/3 binary64)))))))
(cos (* 2 (* u2 (PI))))
(cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 u2 (PI.f64))))
(cos (* 2 (* u2 (PI))))
(cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 u2 (PI.f64))))
(cos (* 2 (* u2 (PI))))
(cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 u2 (PI.f64))))
(cos (* 2 (* u2 (PI))))
(cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 u2 (PI.f64))))
(cos (* 2 (* u2 (PI))))
(cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 u2 (PI.f64))))
(cos (* 2 (* u2 (PI))))
(cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 u2 (PI.f64))))
(cos (* 2 (* u2 (PI))))
(cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 u2 (PI.f64))))
(cos (* 2 (* u2 (PI))))
(cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 u2 (PI.f64))))
(* -2 (log u1))
(*.f64 (log.f64 u1) #s(literal -2 binary64))
(* -2 (log u1))
(*.f64 (log.f64 u1) #s(literal -2 binary64))
(* -2 (log u1))
(*.f64 (log.f64 u1) #s(literal -2 binary64))
(* -2 (log u1))
(*.f64 (log.f64 u1) #s(literal -2 binary64))
(* 2 (log (/ 1 u1)))
(*.f64 #s(literal 2 binary64) (-.f64 #s(literal 0 binary64) (log.f64 u1)))
(* 2 (log (/ 1 u1)))
(*.f64 #s(literal 2 binary64) (-.f64 #s(literal 0 binary64) (log.f64 u1)))
(* 2 (log (/ 1 u1)))
(*.f64 #s(literal 2 binary64) (-.f64 #s(literal 0 binary64) (log.f64 u1)))
(* 2 (log (/ 1 u1)))
(*.f64 #s(literal 2 binary64) (-.f64 #s(literal 0 binary64) (log.f64 u1)))
(* -2 (+ (log -1) (* -1 (log (/ -1 u1)))))
(*.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) u1))) #s(literal -2 binary64))
(* -2 (+ (log -1) (* -1 (log (/ -1 u1)))))
(*.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) u1))) #s(literal -2 binary64))
(* -2 (+ (log -1) (* -1 (log (/ -1 u1)))))
(*.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) u1))) #s(literal -2 binary64))
(* -2 (+ (log -1) (* -1 (log (/ -1 u1)))))
(*.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) u1))) #s(literal -2 binary64))
(* -2 (log u1))
(*.f64 (log.f64 u1) #s(literal -2 binary64))
(* -2 (log u1))
(*.f64 (log.f64 u1) #s(literal -2 binary64))
(* -2 (log u1))
(*.f64 (log.f64 u1) #s(literal -2 binary64))
(* -2 (log u1))
(*.f64 (log.f64 u1) #s(literal -2 binary64))
(* 2 (log (/ 1 u1)))
(*.f64 #s(literal 2 binary64) (-.f64 #s(literal 0 binary64) (log.f64 u1)))
(* 2 (log (/ 1 u1)))
(*.f64 #s(literal 2 binary64) (-.f64 #s(literal 0 binary64) (log.f64 u1)))
(* 2 (log (/ 1 u1)))
(*.f64 #s(literal 2 binary64) (-.f64 #s(literal 0 binary64) (log.f64 u1)))
(* 2 (log (/ 1 u1)))
(*.f64 #s(literal 2 binary64) (-.f64 #s(literal 0 binary64) (log.f64 u1)))
(* -2 (+ (log -1) (* -1 (log (/ -1 u1)))))
(*.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) u1))) #s(literal -2 binary64))
(* -2 (+ (log -1) (* -1 (log (/ -1 u1)))))
(*.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) u1))) #s(literal -2 binary64))
(* -2 (+ (log -1) (* -1 (log (/ -1 u1)))))
(*.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) u1))) #s(literal -2 binary64))
(* -2 (+ (log -1) (* -1 (log (/ -1 u1)))))
(*.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) u1))) #s(literal -2 binary64))
(* (sqrt (log u1)) (sqrt -2))
(*.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 #s(literal -2 binary64)))
(* (sqrt (log u1)) (sqrt -2))
(*.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 #s(literal -2 binary64)))
(* (sqrt (log u1)) (sqrt -2))
(*.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 #s(literal -2 binary64)))
(* (sqrt (log u1)) (sqrt -2))
(*.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 #s(literal -2 binary64)))
(* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1)))
(*.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (log.f64 u1))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -2 binary64))))
(* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1)))
(*.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (log.f64 u1))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -2 binary64))))
(* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1)))
(*.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (log.f64 u1))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -2 binary64))))
(* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1)))
(*.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (log.f64 u1))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -2 binary64))))
(* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))
(*.f64 (sqrt.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) u1)))) (sqrt.f64 #s(literal -2 binary64)))
(* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))
(*.f64 (sqrt.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) u1)))) (sqrt.f64 #s(literal -2 binary64)))
(* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))
(*.f64 (sqrt.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) u1)))) (sqrt.f64 #s(literal -2 binary64)))
(* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))
(*.f64 (sqrt.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) u1)))) (sqrt.f64 #s(literal -2 binary64)))

eval225.0ms (1.9%)

Compiler

Compiled 84548 to 2937 computations (96.5% saved)

prune131.0ms (1.1%)

Pruning

19 alts after pruning (18 fresh and 1 done)

PrunedKeptTotal
New1776151791
Fresh10313
Picked505
Done011
Total1791191810
Accuracy
100.0%
Counts
1810 → 19
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶98.0%
(/.f64 (-.f64 (pow.f64 (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)))) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (-.f64 (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)))) #s(literal 1/2 binary64)))
99.0%
(/.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)))))))
▶98.0%
(/.f64 (+.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)))) #s(literal 3 binary64))) (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)))) (-.f64 (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)))) #s(literal 1/2 binary64)))))
99.3%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 (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 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)))))) (/.f64 (pow.f64 (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)))) #s(literal 2 binary64)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)))))))
▶98.1%
(+.f64 (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)))) #s(literal 1/2 binary64))
99.0%
(+.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))))) #s(literal 1/2 binary64)) (pow.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))))) #s(literal 1/2 binary64))))
▶97.9%
(+.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/4 binary64)) (*.f64 (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/4 binary64)) #s(literal 1/6 binary64))))
99.1%
(+.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)))))
98.1%
(+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 (*.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal 1/4 binary64))) #s(literal 1 binary64)))
97.7%
(+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 (exp.f64 (log.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)))) #s(literal 1/2 binary64))) #s(literal 1 binary64)))
▶99.4%
(+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (log.f64 u1))) (sqrt.f64 #s(literal 2 binary64)))) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))))
✓99.3%
(+.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)))))
99.2%
(+.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)))))) #s(literal 1 binary64))))
98.0%
(*.f64 (-.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)))) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)))))))
98.6%
(*.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 (pow.f64 (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/4 binary64)) #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))))
99.2%
(*.f64 (+.f64 (*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 u2 (PI.f64)))) #s(literal 2 binary64)) (*.f64 (log.f64 u1) #s(literal -1/18 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))))
97.9%
(*.f64 (+.f64 (*.f64 (log.f64 u1) #s(literal -1/18 binary64)) #s(literal -1/4 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))))) #s(literal -1/2 binary64))))
97.9%
(*.f64 (+.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)))) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)))) (-.f64 (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)))) #s(literal 1/2 binary64))))))
Compiler

Compiled 976 to 674 computations (30.9% saved)

simplify190.0ms (1.6%)

Algorithm
1×egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
✓cost-diff6400
(+.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)))) #s(literal 3 binary64)))
✓cost-diff6656
(*.f64 (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)))) (-.f64 (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)))) #s(literal 1/2 binary64)))
✓cost-diff6656
(+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)))) (-.f64 (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)))) #s(literal 1/2 binary64))))
✓cost-diff13056
(/.f64 (+.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)))) #s(literal 3 binary64))) (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)))) (-.f64 (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)))) #s(literal 1/2 binary64)))))
✓cost-diff0
(*.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))))
✓cost-diff12992
(pow.f64 (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)))) #s(literal 2 binary64))
✓cost-diff12992
(-.f64 (pow.f64 (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)))) #s(literal 2 binary64)) #s(literal 1/4 binary64))
✓cost-diff12992
(/.f64 (-.f64 (pow.f64 (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)))) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (-.f64 (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)))) #s(literal 1/2 binary64)))
✓cost-diff0
(*.f64 #s(literal -2 binary64) (log.f64 u1))
✓cost-diff0
(pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/4 binary64))
✓cost-diff13184
(*.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)))
✓cost-diff13184
(+.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))))
✓cost-diff0
(*.f64 #s(literal -2 binary64) (log.f64 u1))
✓cost-diff0
(sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)))
✓cost-diff0
(*.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))))
✓cost-diff0
(+.f64 (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)))) #s(literal 1/2 binary64))
✓cost-diff0
(*.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (log.f64 u1))) (sqrt.f64 #s(literal 2 binary64)))
✓cost-diff0
(*.f64 #s(literal 1/6 binary64) (*.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (log.f64 u1))) (sqrt.f64 #s(literal 2 binary64))))
✓cost-diff0
(*.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (log.f64 u1))) (sqrt.f64 #s(literal 2 binary64)))) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))))
✓cost-diff0
(+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (log.f64 u1))) (sqrt.f64 #s(literal 2 binary64)))) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))))
Rules
3632×*-lowering-*.f32
3632×*-lowering-*.f64
1766×fma-lowering-fma.f32
1766×fma-lowering-fma.f64
1372×fma-define
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
039341
186333
2187318
3427305
4795301
52134301
63829301
75237301
87941301
08138301
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(+ 1/2 (* (* 1/6 (* (sqrt (- 0 (log u1))) (sqrt 2))) (cos (* 2 (* (PI) u2)))))
1/2
(* (* 1/6 (* (sqrt (- 0 (log u1))) (sqrt 2))) (cos (* 2 (* (PI) u2))))
(* 1/6 (* (sqrt (- 0 (log u1))) (sqrt 2)))
1/6
(* (sqrt (- 0 (log u1))) (sqrt 2))
(sqrt (- 0 (log u1)))
(- 0 (log u1))
0
(log u1)
u1
(sqrt 2)
2
(cos (* 2 (* (PI) u2)))
(* 2 (* (PI) u2))
(* (PI) u2)
(PI)
u2
(+ (* 1/6 (sqrt (* -2 (log u1)))) 1/2)
(* 1/6 (sqrt (* -2 (log u1))))
1/6
(sqrt (* -2 (log u1)))
(* -2 (log u1))
-2
(log u1)
u1
1/2
(+ 1/2 (* (pow (* -2 (log u1)) 1/4) (* (pow (* -2 (log u1)) 1/4) 1/6)))
1/2
(* (pow (* -2 (log u1)) 1/4) (* (pow (* -2 (log u1)) 1/4) 1/6))
(pow (* -2 (log u1)) 1/4)
(* -2 (log u1))
-2
(log u1)
u1
1/4
(* (pow (* -2 (log u1)) 1/4) 1/6)
1/6
(/ (- (pow (* 1/6 (sqrt (* -2 (log u1)))) 2) 1/4) (- (* 1/6 (sqrt (* -2 (log u1)))) 1/2))
(- (pow (* 1/6 (sqrt (* -2 (log u1)))) 2) 1/4)
(pow (* 1/6 (sqrt (* -2 (log u1)))) 2)
(* 1/6 (sqrt (* -2 (log u1))))
1/6
(sqrt (* -2 (log u1)))
(* -2 (log u1))
-2
(log u1)
u1
2
1/4
(- (* 1/6 (sqrt (* -2 (log u1)))) 1/2)
1/2
(/ (+ 1/8 (pow (* 1/6 (sqrt (* -2 (log u1)))) 3)) (+ 1/4 (* (* 1/6 (sqrt (* -2 (log u1)))) (- (* 1/6 (sqrt (* -2 (log u1)))) 1/2))))
(+ 1/8 (pow (* 1/6 (sqrt (* -2 (log u1)))) 3))
1/8
(pow (* 1/6 (sqrt (* -2 (log u1)))) 3)
(* 1/6 (sqrt (* -2 (log u1))))
1/6
(sqrt (* -2 (log u1)))
(* -2 (log u1))
-2
(log u1)
u1
3
(+ 1/4 (* (* 1/6 (sqrt (* -2 (log u1)))) (- (* 1/6 (sqrt (* -2 (log u1)))) 1/2)))
1/4
(* (* 1/6 (sqrt (* -2 (log u1)))) (- (* 1/6 (sqrt (* -2 (log u1)))) 1/2))
(- (* 1/6 (sqrt (* -2 (log u1)))) 1/2)
1/2
Outputs
(+ 1/2 (* (* 1/6 (* (sqrt (- 0 (log u1))) (sqrt 2))) (cos (* 2 (* (PI) u2)))))
(+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (log.f64 u1))) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal 2 binary64)))) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))))
1/2
#s(literal 1/2 binary64)
(* (* 1/6 (* (sqrt (- 0 (log u1))) (sqrt 2))) (cos (* 2 (* (PI) u2))))
(*.f64 (*.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (log.f64 u1))) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal 2 binary64)))) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))))
(* 1/6 (* (sqrt (- 0 (log u1))) (sqrt 2)))
(*.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (log.f64 u1))) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal 2 binary64))))
1/6
#s(literal 1/6 binary64)
(* (sqrt (- 0 (log u1))) (sqrt 2))
(*.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (log.f64 u1))) (sqrt.f64 #s(literal 2 binary64)))
(sqrt (- 0 (log u1)))
(sqrt.f64 (-.f64 #s(literal 0 binary64) (log.f64 u1)))
(- 0 (log u1))
(-.f64 #s(literal 0 binary64) (log.f64 u1))
0
#s(literal 0 binary64)
(log u1)
(log.f64 u1)
u1
(sqrt 2)
(sqrt.f64 #s(literal 2 binary64))
2
#s(literal 2 binary64)
(cos (* 2 (* (PI) u2)))
(cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))
(* 2 (* (PI) u2))
(*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))
(* (PI) u2)
(*.f64 (PI.f64) u2)
(PI)
(PI.f64)
u2
(+ (* 1/6 (sqrt (* -2 (log u1)))) 1/2)
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)))))
(* 1/6 (sqrt (* -2 (log u1))))
(*.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))))
1/6
#s(literal 1/6 binary64)
(sqrt (* -2 (log u1)))
(sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)))
(* -2 (log u1))
(*.f64 (log.f64 u1) #s(literal -2 binary64))
-2
#s(literal -2 binary64)
(log u1)
(log.f64 u1)
u1
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* (pow (* -2 (log u1)) 1/4) (* (pow (* -2 (log u1)) 1/4) 1/6)))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)))))
1/2
#s(literal 1/2 binary64)
(* (pow (* -2 (log u1)) 1/4) (* (pow (* -2 (log u1)) 1/4) 1/6))
(*.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))))
(pow (* -2 (log u1)) 1/4)
(pow.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)) #s(literal 1/4 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
#s(literal 1/4 binary64)
(* (pow (* -2 (log u1)) 1/4) 1/6)
(*.f64 #s(literal 1/6 binary64) (pow.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)) #s(literal 1/4 binary64)))
1/6
#s(literal 1/6 binary64)
(/ (- (pow (* 1/6 (sqrt (* -2 (log u1)))) 2) 1/4) (- (* 1/6 (sqrt (* -2 (log u1)))) 1/2))
(/.f64 (+.f64 (*.f64 (log.f64 u1) #s(literal -1/18 binary64)) #s(literal -1/4 binary64)) (+.f64 (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)))) #s(literal -1/2 binary64)))
(- (pow (* 1/6 (sqrt (* -2 (log u1)))) 2) 1/4)
(+.f64 (*.f64 (log.f64 u1) #s(literal -1/18 binary64)) #s(literal -1/4 binary64))
(pow (* 1/6 (sqrt (* -2 (log u1)))) 2)
(*.f64 (log.f64 u1) #s(literal -1/18 binary64))
(* 1/6 (sqrt (* -2 (log u1))))
(*.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))))
1/6
#s(literal 1/6 binary64)
(sqrt (* -2 (log u1)))
(sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)))
(* -2 (log u1))
(*.f64 (log.f64 u1) #s(literal -2 binary64))
-2
#s(literal -2 binary64)
(log u1)
(log.f64 u1)
u1
2
#s(literal 2 binary64)
1/4
#s(literal 1/4 binary64)
(- (* 1/6 (sqrt (* -2 (log u1)))) 1/2)
(+.f64 (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)))) #s(literal -1/2 binary64))
1/2
#s(literal 1/2 binary64)
(/ (+ 1/8 (pow (* 1/6 (sqrt (* -2 (log u1)))) 3)) (+ 1/4 (* (* 1/6 (sqrt (* -2 (log u1)))) (- (* 1/6 (sqrt (* -2 (log u1)))) 1/2))))
(/.f64 (+.f64 #s(literal 1/8 binary64) (*.f64 #s(literal 1/216 binary64) (pow.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)) #s(literal 3/2 binary64)))) (+.f64 #s(literal 1/4 binary64) (+.f64 (*.f64 (log.f64 u1) #s(literal -1/18 binary64)) (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal -1/12 binary64)))))
(+ 1/8 (pow (* 1/6 (sqrt (* -2 (log u1)))) 3))
(+.f64 #s(literal 1/8 binary64) (*.f64 #s(literal 1/216 binary64) (pow.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)) #s(literal 3/2 binary64))))
1/8
#s(literal 1/8 binary64)
(pow (* 1/6 (sqrt (* -2 (log u1)))) 3)
(*.f64 #s(literal 1/216 binary64) (pow.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)) #s(literal 3/2 binary64)))
(* 1/6 (sqrt (* -2 (log u1))))
(*.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))))
1/6
#s(literal 1/6 binary64)
(sqrt (* -2 (log u1)))
(sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)))
(* -2 (log u1))
(*.f64 (log.f64 u1) #s(literal -2 binary64))
-2
#s(literal -2 binary64)
(log u1)
(log.f64 u1)
u1
3
#s(literal 3 binary64)
(+ 1/4 (* (* 1/6 (sqrt (* -2 (log u1)))) (- (* 1/6 (sqrt (* -2 (log u1)))) 1/2)))
(+.f64 #s(literal 1/4 binary64) (+.f64 (*.f64 (log.f64 u1) #s(literal -1/18 binary64)) (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal -1/12 binary64))))
1/4
#s(literal 1/4 binary64)
(* (* 1/6 (sqrt (* -2 (log u1)))) (- (* 1/6 (sqrt (* -2 (log u1)))) 1/2))
(+.f64 (*.f64 (log.f64 u1) #s(literal -1/18 binary64)) (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal -1/12 binary64)))
(- (* 1/6 (sqrt (* -2 (log u1)))) 1/2)
(+.f64 (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)))) #s(literal -1/2 binary64))
1/2
#s(literal 1/2 binary64)

localize242.0ms (2.1%)

Localize:

Found 20 expressions of interest:

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

Compiled 374 to 40 computations (89.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 70.0ms
ival-mult: 17.0ms (24.3% of total)
ival-pow: 14.0ms (20% of total)
...c/correct-round.rkt:119:19: 9.0ms (12.9% of total)
ival-add: 6.0ms (8.6% of total)
ival-sqrt: 5.0ms (7.1% of total)
ival-sub: 4.0ms (5.7% of total)
ival-log: 4.0ms (5.7% of total)
ival-pi: 3.0ms (4.3% of total)
ival-div: 3.0ms (4.3% of total)
ival-cos: 2.0ms (2.9% of total)
const: 1.0ms (1.4% of total)
backward-pass: 0.0ms (0% of total)

series89.0ms (0.8%)

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))) (sqrt 2)))>
#<alt (* (sqrt (- 0 (log u1))) (sqrt 2))>
#<alt (+ (* 1/6 (sqrt (* -2 (log u1)))) 1/2)>
#<alt (* 1/6 (sqrt (* -2 (log u1))))>
#<alt (sqrt (* -2 (log u1)))>
#<alt (* -2 (log u1))>
#<alt (+ 1/2 (* (pow (* -2 (log u1)) 1/4) (* (pow (* -2 (log u1)) 1/4) 1/6)))>
#<alt (* (pow (* -2 (log u1)) 1/4) (* (pow (* -2 (log u1)) 1/4) 1/6))>
#<alt (pow (* -2 (log u1)) 1/4)>
#<alt (/ (- (pow (* 1/6 (sqrt (* -2 (log u1)))) 2) 1/4) (- (* 1/6 (sqrt (* -2 (log u1)))) 1/2))>
#<alt (- (pow (* 1/6 (sqrt (* -2 (log u1)))) 2) 1/4)>
#<alt (pow (* 1/6 (sqrt (* -2 (log u1)))) 2)>
#<alt (/ (+ 1/8 (pow (* 1/6 (sqrt (* -2 (log u1)))) 3)) (+ 1/4 (* (* 1/6 (sqrt (* -2 (log u1)))) (- (* 1/6 (sqrt (* -2 (log u1)))) 1/2))))>
#<alt (+ 1/4 (* (* 1/6 (sqrt (* -2 (log u1)))) (- (* 1/6 (sqrt (* -2 (log u1)))) 1/2)))>
#<alt (* (* 1/6 (sqrt (* -2 (log u1)))) (- (* 1/6 (sqrt (* -2 (log u1)))) 1/2))>
#<alt (+ 1/8 (pow (* 1/6 (sqrt (* -2 (log u1)))) 3))>
#<alt (* (PI) u2)>
#<alt (sqrt (- 0 (log u1)))>
#<alt (log u1)>
#<alt (* (pow (* -2 (log u1)) 1/4) 1/6)>
#<alt (- (* 1/6 (sqrt (* -2 (log u1)))) 1/2)>
#<alt (pow (* 1/6 (sqrt (* -2 (log u1)))) 3)>
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))))))))>
#<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 (* -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))))>
#<alt (+ 1/2 (* 1/6 (* (sqrt (log (/ 1 u1))) (sqrt 2))))>
#<alt (+ 1/2 (* 1/6 (* (sqrt (log (/ 1 u1))) (sqrt 2))))>
#<alt (+ 1/2 (* 1/6 (* (sqrt (log (/ 1 u1))) (sqrt 2))))>
#<alt (+ 1/2 (* 1/6 (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))))>
#<alt (+ 1/2 (* 1/6 (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))))>
#<alt (+ 1/2 (* 1/6 (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))))>
#<alt (+ 1/2 (* 1/6 (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))))>
#<alt (* 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)))>
#<alt (* 1/6 (* (sqrt (log (/ 1 u1))) (sqrt 2)))>
#<alt (* 1/6 (* (sqrt (log (/ 1 u1))) (sqrt 2)))>
#<alt (* 1/6 (* (sqrt (log (/ 1 u1))) (sqrt 2)))>
#<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 (pow (* -2 (log u1)) 1/4)>
#<alt (pow (* -2 (log u1)) 1/4)>
#<alt (pow (* -2 (log u1)) 1/4)>
#<alt (pow (* -2 (log u1)) 1/4)>
#<alt (pow (* 2 (log (/ 1 u1))) 1/4)>
#<alt (pow (* 2 (log (/ 1 u1))) 1/4)>
#<alt (pow (* 2 (log (/ 1 u1))) 1/4)>
#<alt (pow (* 2 (log (/ 1 u1))) 1/4)>
#<alt (pow (* -2 (+ (log -1) (* -1 (log (/ -1 u1))))) 1/4)>
#<alt (pow (* -2 (+ (log -1) (* -1 (log (/ -1 u1))))) 1/4)>
#<alt (pow (* -2 (+ (log -1) (* -1 (log (/ -1 u1))))) 1/4)>
#<alt (pow (* -2 (+ (log -1) (* -1 (log (/ -1 u1))))) 1/4)>
#<alt (/ (- (* 1/36 (* (log u1) (pow (sqrt -2) 2))) 1/4) (- (* 1/6 (* (sqrt (log u1)) (sqrt -2))) 1/2))>
#<alt (/ (- (* 1/36 (* (log u1) (pow (sqrt -2) 2))) 1/4) (- (* 1/6 (* (sqrt (log u1)) (sqrt -2))) 1/2))>
#<alt (/ (- (* 1/36 (* (log u1) (pow (sqrt -2) 2))) 1/4) (- (* 1/6 (* (sqrt (log u1)) (sqrt -2))) 1/2))>
#<alt (/ (- (* 1/36 (* (log u1) (pow (sqrt -2) 2))) 1/4) (- (* 1/6 (* (sqrt (log u1)) (sqrt -2))) 1/2))>
#<alt (/ (- (* -1/36 (* (log (/ 1 u1)) (pow (sqrt -2) 2))) 1/4) (- (* 1/6 (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1)))) 1/2))>
#<alt (/ (- (* -1/36 (* (log (/ 1 u1)) (pow (sqrt -2) 2))) 1/4) (- (* 1/6 (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1)))) 1/2))>
#<alt (/ (- (* -1/36 (* (log (/ 1 u1)) (pow (sqrt -2) 2))) 1/4) (- (* 1/6 (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1)))) 1/2))>
#<alt (/ (- (* -1/36 (* (log (/ 1 u1)) (pow (sqrt -2) 2))) 1/4) (- (* 1/6 (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1)))) 1/2))>
#<alt (/ (- (* 1/36 (* (pow (sqrt -2) 2) (+ (log -1) (* -1 (log (/ -1 u1)))))) 1/4) (- (* 1/6 (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))) 1/2))>
#<alt (/ (- (* 1/36 (* (pow (sqrt -2) 2) (+ (log -1) (* -1 (log (/ -1 u1)))))) 1/4) (- (* 1/6 (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))) 1/2))>
#<alt (/ (- (* 1/36 (* (pow (sqrt -2) 2) (+ (log -1) (* -1 (log (/ -1 u1)))))) 1/4) (- (* 1/6 (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))) 1/2))>
#<alt (/ (- (* 1/36 (* (pow (sqrt -2) 2) (+ (log -1) (* -1 (log (/ -1 u1)))))) 1/4) (- (* 1/6 (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))) 1/2))>
#<alt (- (* 1/36 (* (log u1) (pow (sqrt -2) 2))) 1/4)>
#<alt (- (* 1/36 (* (log u1) (pow (sqrt -2) 2))) 1/4)>
#<alt (- (* 1/36 (* (log u1) (pow (sqrt -2) 2))) 1/4)>
#<alt (- (* 1/36 (* (log u1) (pow (sqrt -2) 2))) 1/4)>
#<alt (- (* -1/36 (* (log (/ 1 u1)) (pow (sqrt -2) 2))) 1/4)>
#<alt (- (* -1/36 (* (log (/ 1 u1)) (pow (sqrt -2) 2))) 1/4)>
#<alt (- (* -1/36 (* (log (/ 1 u1)) (pow (sqrt -2) 2))) 1/4)>
#<alt (- (* -1/36 (* (log (/ 1 u1)) (pow (sqrt -2) 2))) 1/4)>
#<alt (- (* 1/36 (* (pow (sqrt -2) 2) (+ (log -1) (* -1 (log (/ -1 u1)))))) 1/4)>
#<alt (- (* 1/36 (* (pow (sqrt -2) 2) (+ (log -1) (* -1 (log (/ -1 u1)))))) 1/4)>
#<alt (- (* 1/36 (* (pow (sqrt -2) 2) (+ (log -1) (* -1 (log (/ -1 u1)))))) 1/4)>
#<alt (- (* 1/36 (* (pow (sqrt -2) 2) (+ (log -1) (* -1 (log (/ -1 u1)))))) 1/4)>
#<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 (/ (+ 1/8 (* 1/216 (* (sqrt (pow (log u1) 3)) (pow (sqrt -2) 3)))) (+ 1/4 (* 1/6 (* (sqrt (log u1)) (* (sqrt -2) (- (* 1/6 (* (sqrt (log u1)) (sqrt -2))) 1/2))))))>
#<alt (/ (+ 1/8 (* 1/216 (* (sqrt (pow (log u1) 3)) (pow (sqrt -2) 3)))) (+ 1/4 (* 1/6 (* (sqrt (log u1)) (* (sqrt -2) (- (* 1/6 (* (sqrt (log u1)) (sqrt -2))) 1/2))))))>
#<alt (/ (+ 1/8 (* 1/216 (* (sqrt (pow (log u1) 3)) (pow (sqrt -2) 3)))) (+ 1/4 (* 1/6 (* (sqrt (log u1)) (* (sqrt -2) (- (* 1/6 (* (sqrt (log u1)) (sqrt -2))) 1/2))))))>
#<alt (/ (+ 1/8 (* 1/216 (* (sqrt (pow (log u1) 3)) (pow (sqrt -2) 3)))) (+ 1/4 (* 1/6 (* (sqrt (log u1)) (* (sqrt -2) (- (* 1/6 (* (sqrt (log u1)) (sqrt -2))) 1/2))))))>
#<alt (/ (+ 1/8 (* 1/216 (* (sqrt (pow (log (/ 1 u1)) 3)) (* (pow (sqrt -2) 3) (sqrt -1))))) (+ 1/4 (* 1/6 (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (* (sqrt -1) (- (* 1/6 (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1)))) 1/2)))))))>
#<alt (/ (+ 1/8 (* 1/216 (* (sqrt (pow (log (/ 1 u1)) 3)) (* (pow (sqrt -2) 3) (sqrt -1))))) (+ 1/4 (* 1/6 (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (* (sqrt -1) (- (* 1/6 (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1)))) 1/2)))))))>
#<alt (/ (+ 1/8 (* 1/216 (* (sqrt (pow (log (/ 1 u1)) 3)) (* (pow (sqrt -2) 3) (sqrt -1))))) (+ 1/4 (* 1/6 (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (* (sqrt -1) (- (* 1/6 (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1)))) 1/2)))))))>
#<alt (/ (+ 1/8 (* 1/216 (* (sqrt (pow (log (/ 1 u1)) 3)) (* (pow (sqrt -2) 3) (sqrt -1))))) (+ 1/4 (* 1/6 (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (* (sqrt -1) (- (* 1/6 (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1)))) 1/2)))))))>
#<alt (/ (+ 1/8 (* 1/216 (* (pow (sqrt -2) 3) (sqrt (pow (+ (log -1) (* -1 (log (/ -1 u1)))) 3))))) (+ 1/4 (* 1/6 (* (* (sqrt -2) (- (* 1/6 (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))) 1/2)) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))))))>
#<alt (/ (+ 1/8 (* 1/216 (* (pow (sqrt -2) 3) (sqrt (pow (+ (log -1) (* -1 (log (/ -1 u1)))) 3))))) (+ 1/4 (* 1/6 (* (* (sqrt -2) (- (* 1/6 (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))) 1/2)) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))))))>
#<alt (/ (+ 1/8 (* 1/216 (* (pow (sqrt -2) 3) (sqrt (pow (+ (log -1) (* -1 (log (/ -1 u1)))) 3))))) (+ 1/4 (* 1/6 (* (* (sqrt -2) (- (* 1/6 (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))) 1/2)) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))))))>
#<alt (/ (+ 1/8 (* 1/216 (* (pow (sqrt -2) 3) (sqrt (pow (+ (log -1) (* -1 (log (/ -1 u1)))) 3))))) (+ 1/4 (* 1/6 (* (* (sqrt -2) (- (* 1/6 (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))) 1/2)) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))))))>
#<alt (+ 1/4 (* 1/6 (* (sqrt (log u1)) (* (sqrt -2) (- (* 1/6 (* (sqrt (log u1)) (sqrt -2))) 1/2)))))>
#<alt (+ 1/4 (* 1/6 (* (sqrt (log u1)) (* (sqrt -2) (- (* 1/6 (* (sqrt (log u1)) (sqrt -2))) 1/2)))))>
#<alt (+ 1/4 (* 1/6 (* (sqrt (log u1)) (* (sqrt -2) (- (* 1/6 (* (sqrt (log u1)) (sqrt -2))) 1/2)))))>
#<alt (+ 1/4 (* 1/6 (* (sqrt (log u1)) (* (sqrt -2) (- (* 1/6 (* (sqrt (log u1)) (sqrt -2))) 1/2)))))>
#<alt (+ 1/4 (* 1/6 (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (* (sqrt -1) (- (* 1/6 (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1)))) 1/2))))))>
#<alt (+ 1/4 (* 1/6 (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (* (sqrt -1) (- (* 1/6 (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1)))) 1/2))))))>
#<alt (+ 1/4 (* 1/6 (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (* (sqrt -1) (- (* 1/6 (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1)))) 1/2))))))>
#<alt (+ 1/4 (* 1/6 (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (* (sqrt -1) (- (* 1/6 (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1)))) 1/2))))))>
#<alt (+ 1/4 (* 1/6 (* (* (sqrt -2) (- (* 1/6 (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))) 1/2)) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))))>
#<alt (+ 1/4 (* 1/6 (* (* (sqrt -2) (- (* 1/6 (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))) 1/2)) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))))>
#<alt (+ 1/4 (* 1/6 (* (* (sqrt -2) (- (* 1/6 (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))) 1/2)) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))))>
#<alt (+ 1/4 (* 1/6 (* (* (sqrt -2) (- (* 1/6 (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))) 1/2)) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))))>
#<alt (* 1/6 (* (sqrt (log u1)) (* (sqrt -2) (- (* 1/6 (* (sqrt (log u1)) (sqrt -2))) 1/2))))>
#<alt (* 1/6 (* (sqrt (log u1)) (* (sqrt -2) (- (* 1/6 (* (sqrt (log u1)) (sqrt -2))) 1/2))))>
#<alt (* 1/6 (* (sqrt (log u1)) (* (sqrt -2) (- (* 1/6 (* (sqrt (log u1)) (sqrt -2))) 1/2))))>
#<alt (* 1/6 (* (sqrt (log u1)) (* (sqrt -2) (- (* 1/6 (* (sqrt (log u1)) (sqrt -2))) 1/2))))>
#<alt (* 1/6 (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (* (sqrt -1) (- (* 1/6 (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1)))) 1/2)))))>
#<alt (* 1/6 (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (* (sqrt -1) (- (* 1/6 (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1)))) 1/2)))))>
#<alt (* 1/6 (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (* (sqrt -1) (- (* 1/6 (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1)))) 1/2)))))>
#<alt (* 1/6 (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (* (sqrt -1) (- (* 1/6 (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1)))) 1/2)))))>
#<alt (* 1/6 (* (* (sqrt -2) (- (* 1/6 (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))) 1/2)) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))))>
#<alt (* 1/6 (* (* (sqrt -2) (- (* 1/6 (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))) 1/2)) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))))>
#<alt (* 1/6 (* (* (sqrt -2) (- (* 1/6 (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))) 1/2)) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))))>
#<alt (* 1/6 (* (* (sqrt -2) (- (* 1/6 (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))) 1/2)) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))))>
#<alt (+ 1/8 (* 1/216 (* (sqrt (pow (log u1) 3)) (pow (sqrt -2) 3))))>
#<alt (+ 1/8 (* 1/216 (* (sqrt (pow (log u1) 3)) (pow (sqrt -2) 3))))>
#<alt (+ 1/8 (* 1/216 (* (sqrt (pow (log u1) 3)) (pow (sqrt -2) 3))))>
#<alt (+ 1/8 (* 1/216 (* (sqrt (pow (log u1) 3)) (pow (sqrt -2) 3))))>
#<alt (+ 1/8 (* 1/216 (* (sqrt (pow (log (/ 1 u1)) 3)) (* (pow (sqrt -2) 3) (sqrt -1)))))>
#<alt (+ 1/8 (* 1/216 (* (sqrt (pow (log (/ 1 u1)) 3)) (* (pow (sqrt -2) 3) (sqrt -1)))))>
#<alt (+ 1/8 (* 1/216 (* (sqrt (pow (log (/ 1 u1)) 3)) (* (pow (sqrt -2) 3) (sqrt -1)))))>
#<alt (+ 1/8 (* 1/216 (* (sqrt (pow (log (/ 1 u1)) 3)) (* (pow (sqrt -2) 3) (sqrt -1)))))>
#<alt (+ 1/8 (* 1/216 (* (pow (sqrt -2) 3) (sqrt (pow (+ (log -1) (* -1 (log (/ -1 u1)))) 3)))))>
#<alt (+ 1/8 (* 1/216 (* (pow (sqrt -2) 3) (sqrt (pow (+ (log -1) (* -1 (log (/ -1 u1)))) 3)))))>
#<alt (+ 1/8 (* 1/216 (* (pow (sqrt -2) 3) (sqrt (pow (+ (log -1) (* -1 (log (/ -1 u1)))) 3)))))>
#<alt (+ 1/8 (* 1/216 (* (pow (sqrt -2) 3) (sqrt (pow (+ (log -1) (* -1 (log (/ -1 u1)))) 3)))))>
#<alt (* u2 (PI))>
#<alt (* u2 (PI))>
#<alt (* u2 (PI))>
#<alt (* u2 (PI))>
#<alt (* u2 (PI))>
#<alt (* u2 (PI))>
#<alt (* u2 (PI))>
#<alt (* u2 (PI))>
#<alt (* u2 (PI))>
#<alt (* u2 (PI))>
#<alt (* u2 (PI))>
#<alt (* u2 (PI))>
#<alt (* (sqrt (log u1)) (sqrt -1))>
#<alt (* (sqrt (log u1)) (sqrt -1))>
#<alt (* (sqrt (log u1)) (sqrt -1))>
#<alt (* (sqrt (log u1)) (sqrt -1))>
#<alt (* (sqrt (log (/ 1 u1))) (pow (sqrt -1) 2))>
#<alt (* (sqrt (log (/ 1 u1))) (pow (sqrt -1) 2))>
#<alt (* (sqrt (log (/ 1 u1))) (pow (sqrt -1) 2))>
#<alt (* (sqrt (log (/ 1 u1))) (pow (sqrt -1) 2))>
#<alt (* (sqrt -1) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))>
#<alt (* (sqrt -1) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))>
#<alt (* (sqrt -1) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))>
#<alt (* (sqrt -1) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))>
#<alt (log u1)>
#<alt (log u1)>
#<alt (log u1)>
#<alt (log u1)>
#<alt (* -1 (log (/ 1 u1)))>
#<alt (* -1 (log (/ 1 u1)))>
#<alt (* -1 (log (/ 1 u1)))>
#<alt (* -1 (log (/ 1 u1)))>
#<alt (+ (log -1) (* -1 (log (/ -1 u1))))>
#<alt (+ (log -1) (* -1 (log (/ -1 u1))))>
#<alt (+ (log -1) (* -1 (log (/ -1 u1))))>
#<alt (+ (log -1) (* -1 (log (/ -1 u1))))>
#<alt (* 1/6 (pow (* -2 (log u1)) 1/4))>
#<alt (* 1/6 (pow (* -2 (log u1)) 1/4))>
#<alt (* 1/6 (pow (* -2 (log u1)) 1/4))>
#<alt (* 1/6 (pow (* -2 (log u1)) 1/4))>
#<alt (* 1/6 (pow (* 2 (log (/ 1 u1))) 1/4))>
#<alt (* 1/6 (pow (* 2 (log (/ 1 u1))) 1/4))>
#<alt (* 1/6 (pow (* 2 (log (/ 1 u1))) 1/4))>
#<alt (* 1/6 (pow (* 2 (log (/ 1 u1))) 1/4))>
#<alt (* 1/6 (pow (* -2 (+ (log -1) (* -1 (log (/ -1 u1))))) 1/4))>
#<alt (* 1/6 (pow (* -2 (+ (log -1) (* -1 (log (/ -1 u1))))) 1/4))>
#<alt (* 1/6 (pow (* -2 (+ (log -1) (* -1 (log (/ -1 u1))))) 1/4))>
#<alt (* 1/6 (pow (* -2 (+ (log -1) (* -1 (log (/ -1 u1))))) 1/4))>
#<alt (- (* 1/6 (* (sqrt (log u1)) (sqrt -2))) 1/2)>
#<alt (- (* 1/6 (* (sqrt (log u1)) (sqrt -2))) 1/2)>
#<alt (- (* 1/6 (* (sqrt (log u1)) (sqrt -2))) 1/2)>
#<alt (- (* 1/6 (* (sqrt (log u1)) (sqrt -2))) 1/2)>
#<alt (- (* 1/6 (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1)))) 1/2)>
#<alt (- (* 1/6 (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1)))) 1/2)>
#<alt (- (* 1/6 (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1)))) 1/2)>
#<alt (- (* 1/6 (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1)))) 1/2)>
#<alt (- (* 1/6 (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))) 1/2)>
#<alt (- (* 1/6 (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))) 1/2)>
#<alt (- (* 1/6 (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))) 1/2)>
#<alt (- (* 1/6 (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))) 1/2)>
#<alt (* 1/216 (* (sqrt (pow (log u1) 3)) (pow (sqrt -2) 3)))>
#<alt (* 1/216 (* (sqrt (pow (log u1) 3)) (pow (sqrt -2) 3)))>
#<alt (* 1/216 (* (sqrt (pow (log u1) 3)) (pow (sqrt -2) 3)))>
#<alt (* 1/216 (* (sqrt (pow (log u1) 3)) (pow (sqrt -2) 3)))>
#<alt (* 1/216 (* (sqrt (pow (log (/ 1 u1)) 3)) (* (pow (sqrt -2) 3) (sqrt -1))))>
#<alt (* 1/216 (* (sqrt (pow (log (/ 1 u1)) 3)) (* (pow (sqrt -2) 3) (sqrt -1))))>
#<alt (* 1/216 (* (sqrt (pow (log (/ 1 u1)) 3)) (* (pow (sqrt -2) 3) (sqrt -1))))>
#<alt (* 1/216 (* (sqrt (pow (log (/ 1 u1)) 3)) (* (pow (sqrt -2) 3) (sqrt -1))))>
#<alt (* 1/216 (* (pow (sqrt -2) 3) (sqrt (pow (+ (log -1) (* -1 (log (/ -1 u1)))) 3))))>
#<alt (* 1/216 (* (pow (sqrt -2) 3) (sqrt (pow (+ (log -1) (* -1 (log (/ -1 u1)))) 3))))>
#<alt (* 1/216 (* (pow (sqrt -2) 3) (sqrt (pow (+ (log -1) (* -1 (log (/ -1 u1)))) 3))))>
#<alt (* 1/216 (* (pow (sqrt -2) 3) (sqrt (pow (+ (log -1) (* -1 (log (/ -1 u1)))) 3))))>
Calls

78 calls:

TimeVariablePointExpression
20.0ms
u1
@0
(pow (* -2 (log u1)) 1/4)
17.0ms
u1
@inf
(pow (* -2 (log u1)) 1/4)
16.0ms
u1
@-inf
(pow (* -2 (log u1)) 1/4)
9.0ms
u1
@0
(/ (+ 1/8 (pow (* 1/6 (sqrt (* -2 (log u1)))) 3)) (+ 1/4 (* (* 1/6 (sqrt (* -2 (log u1)))) (- (* 1/6 (sqrt (* -2 (log u1)))) 1/2))))
3.0ms
u1
@-inf
(/ (+ 1/8 (pow (* 1/6 (sqrt (* -2 (log u1)))) 3)) (+ 1/4 (* (* 1/6 (sqrt (* -2 (log u1)))) (- (* 1/6 (sqrt (* -2 (log u1)))) 1/2))))

rewrite524.0ms (4.5%)

Algorithm
1×batch-egg-rewrite
Rules
3632×*-lowering-*.f32
3632×*-lowering-*.f64
3512×/-lowering-/.f32
3512×/-lowering-/.f64
1806×fma-lowering-fma.f32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
039209
1238201
21852184
08860184
Stop Event
1×iter limit
1×node limit
Counts
24 → 1350
Calls
Call 1
Inputs
(+ 1/2 (* (* 1/6 (* (sqrt (- 0 (log u1))) (sqrt 2))) (cos (* 2 (* (PI) u2)))))
(* (* 1/6 (* (sqrt (- 0 (log u1))) (sqrt 2))) (cos (* 2 (* (PI) u2))))
(* 1/6 (* (sqrt (- 0 (log u1))) (sqrt 2)))
(* (sqrt (- 0 (log u1))) (sqrt 2))
(+ (* 1/6 (sqrt (* -2 (log u1)))) 1/2)
(* 1/6 (sqrt (* -2 (log u1))))
(sqrt (* -2 (log u1)))
(* -2 (log u1))
(+ 1/2 (* (pow (* -2 (log u1)) 1/4) (* (pow (* -2 (log u1)) 1/4) 1/6)))
(* (pow (* -2 (log u1)) 1/4) (* (pow (* -2 (log u1)) 1/4) 1/6))
(pow (* -2 (log u1)) 1/4)
(/ (- (pow (* 1/6 (sqrt (* -2 (log u1)))) 2) 1/4) (- (* 1/6 (sqrt (* -2 (log u1)))) 1/2))
(- (pow (* 1/6 (sqrt (* -2 (log u1)))) 2) 1/4)
(pow (* 1/6 (sqrt (* -2 (log u1)))) 2)
(/ (+ 1/8 (pow (* 1/6 (sqrt (* -2 (log u1)))) 3)) (+ 1/4 (* (* 1/6 (sqrt (* -2 (log u1)))) (- (* 1/6 (sqrt (* -2 (log u1)))) 1/2))))
(+ 1/4 (* (* 1/6 (sqrt (* -2 (log u1)))) (- (* 1/6 (sqrt (* -2 (log u1)))) 1/2)))
(* (* 1/6 (sqrt (* -2 (log u1)))) (- (* 1/6 (sqrt (* -2 (log u1)))) 1/2))
(+ 1/8 (pow (* 1/6 (sqrt (* -2 (log u1)))) 3))
(* (PI) u2)
(sqrt (- 0 (log u1)))
(log u1)
(* (pow (* -2 (log u1)) 1/4) 1/6)
(- (* 1/6 (sqrt (* -2 (log u1)))) 1/2)
(pow (* 1/6 (sqrt (* -2 (log u1)))) 3)
Outputs
(+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))))))
(+.f64 (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))))) #s(literal 1/2 binary64))
(-.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))))))) (/.f64 (*.f64 (*.f64 #s(literal 1/36 binary64) (*.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 (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 (*.f64 (*.f64 #s(literal 1/36 binary64) (*.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 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))))) #s(literal 1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (-.f64 (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))))) #s(literal 1/2 binary64))))
(fma.f64 #s(literal 1/6 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))) (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)))) #s(literal 1/2 binary64))
(fma.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)))) #s(literal 1/2 binary64))
(fma.f64 (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))) (*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))) #s(literal 1/2 binary64))
(fma.f64 (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)))) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))) #s(literal 1/2 binary64))
(fma.f64 (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))) (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)))) #s(literal 1/6 binary64) #s(literal 1/2 binary64))
(fma.f64 (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))) #s(literal 1/6 binary64)) (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal 1/2 binary64))
(fma.f64 (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (log.f64 u1)))) (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64))
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(*.f64 (/.f64 (+.f64 (pow.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal 2 binary64)) #s(literal -1/16 binary64)) (/.f64 (+.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal 3/2 binary64))) (-.f64 #s(literal 1/16 binary64) (pow.f64 (-.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 (log.f64 u1) #s(literal -2 binary64))) (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal 1/12 binary64))) #s(literal 2 binary64))))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/36 binary64) (*.f64 (log.f64 u1) #s(literal -2 binary64))))) (-.f64 #s(literal 1/4 binary64) (-.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 (log.f64 u1) #s(literal -2 binary64))) (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal 1/12 binary64))))))
(exp.f64 (*.f64 #s(literal 3/2 binary64) (log.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 (log.f64 u1) #s(literal -2 binary64))))))
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 (log.f64 u1) #s(literal -2 binary64)))) #s(literal 3/2 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal 3/4 binary64))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))))) #s(literal 3/2 binary64)) #s(literal 2 binary64)))
(exp.f64 (+.f64 (*.f64 (log.f64 (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))))) #s(literal 3/2 binary64)) (*.f64 (log.f64 (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))))) #s(literal 3/2 binary64))))
(pow.f64 (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)))) #s(literal 3 binary64))
(pow.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal 3/2 binary64))
(pow.f64 (pow.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal 3/2 binary64)) #s(literal 1 binary64))
(pow.f64 (pow.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal 3/4 binary64)) #s(literal 2 binary64))
(pow.f64 (exp.f64 #s(literal 3 binary64)) (log.f64 (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))))))
(*.f64 #s(literal 1/6 binary64) (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))) (*.f64 #s(literal 1/36 binary64) (*.f64 (log.f64 u1) #s(literal -2 binary64)))))
(*.f64 (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))) (*.f64 #s(literal 1/6 binary64) (*.f64 #s(literal 1/36 binary64) (*.f64 (log.f64 u1) #s(literal -2 binary64)))))
(*.f64 (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)))) (*.f64 #s(literal 1/36 binary64) (*.f64 (log.f64 u1) #s(literal -2 binary64))))
(*.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 (log.f64 u1) #s(literal -2 binary64))) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)))))
(*.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))))))
(*.f64 #s(literal 1/216 binary64) (pow.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)) #s(literal 3/2 binary64)))
(*.f64 (pow.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)) #s(literal 3/2 binary64)) #s(literal 1/216 binary64))
(*.f64 (pow.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)) #s(literal 3/2 binary64)) (pow.f64 #s(literal 1/36 binary64) #s(literal 3/2 binary64)))
(*.f64 (pow.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)) #s(literal 3/2 binary64)) (pow.f64 (pow.f64 #s(literal 1/6 binary64) #s(literal 3/2 binary64)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal 3/4 binary64)) (pow.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal 3/4 binary64)))
(*.f64 (pow.f64 #s(literal 1/6 binary64) #s(literal 3/2 binary64)) (pow.f64 (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))))) #s(literal 3/2 binary64)))
(*.f64 (pow.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)) #s(literal 3/4 binary64)) (*.f64 #s(literal 1/216 binary64) (pow.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)) #s(literal 3/4 binary64))))
(*.f64 (pow.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)) #s(literal 3/4 binary64)) (pow.f64 (pow.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)) #s(literal 1/4 binary64))) #s(literal 2 binary64)) #s(literal 3/2 binary64)))
(*.f64 (pow.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)) #s(literal 3/4 binary64)) (pow.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))))) #s(literal 3/2 binary64)))
(*.f64 (*.f64 #s(literal 1/216 binary64) (pow.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)) #s(literal 3/4 binary64))) (pow.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)) #s(literal 3/4 binary64)))
(*.f64 (pow.f64 (log.f64 u1) #s(literal 3/2 binary64)) (pow.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/6 binary64)) #s(literal 3 binary64)))
(*.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)))) #s(literal 1/36 binary64)) (*.f64 (log.f64 u1) #s(literal -2 binary64)))
(*.f64 (*.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal 1/6 binary64)) (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))))
(*.f64 (*.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 (log.f64 u1) #s(literal -2 binary64))) (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)))) #s(literal 1/6 binary64))
(*.f64 (pow.f64 (pow.f64 #s(literal -2 binary64) #s(literal 1/4 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 (pow.f64 (log.f64 u1) #s(literal 1/4 binary64)) (*.f64 #s(literal 1/6 binary64) (pow.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)) #s(literal 1/4 binary64)))) #s(literal 3 binary64)))
(*.f64 (pow.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)) #s(literal 3/8 binary64)) (pow.f64 (*.f64 (pow.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)) #s(literal 1/8 binary64)) (*.f64 #s(literal 1/6 binary64) (pow.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)) #s(literal 1/4 binary64)))) #s(literal 3 binary64)))
(*.f64 (pow.f64 #s(literal -2 binary64) #s(literal 3/2 binary64)) (pow.f64 (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (log.f64 u1))) #s(literal 3 binary64)))
(*.f64 (pow.f64 (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (log.f64 u1))) #s(literal 3 binary64)) (pow.f64 #s(literal -2 binary64) #s(literal 3/2 binary64)))
(*.f64 (pow.f64 (pow.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)) #s(literal 1/4 binary64)) #s(literal 3/2 binary64)) (pow.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)) #s(literal 1/4 binary64))) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))))) #s(literal 3/2 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))))) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))))) #s(literal 3 binary64)))
(*.f64 (pow.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)) #s(literal 1/4 binary64))) (pow.f64 #s(literal -2 binary64) #s(literal 1/4 binary64))) #s(literal 3 binary64)) (pow.f64 (pow.f64 (log.f64 u1) #s(literal 1/4 binary64)) #s(literal 3 binary64)))
(*.f64 (pow.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)) #s(literal 1/4 binary64))) (pow.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)) #s(literal 1/8 binary64))) #s(literal 3 binary64)) (pow.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)) #s(literal 3/8 binary64)))
(*.f64 (pow.f64 (*.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (log.f64 u1) #s(literal 3/2 binary64)))
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(*.f64 (pow.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)) #s(literal 1/4 binary64))) #s(literal 3/2 binary64)) (pow.f64 (*.f64 (pow.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)) #s(literal 1/4 binary64)) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))))) #s(literal 3/2 binary64)))
(*.f64 (pow.f64 #s(literal 1/36 binary64) #s(literal 3/2 binary64)) (pow.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)) #s(literal 3/2 binary64)))
(*.f64 (pow.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)))) (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)))) #s(literal 3/2 binary64)) (pow.f64 #s(literal 1/6 binary64) #s(literal 3/2 binary64)))
(*.f64 (pow.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)))) (pow.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)) #s(literal 1/4 binary64))) #s(literal 3/2 binary64)) (pow.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)) #s(literal 1/4 binary64))) #s(literal 3/2 binary64)))
(*.f64 (pow.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)))) (*.f64 #s(literal 1/6 binary64) (pow.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)) #s(literal 1/4 binary64)))) #s(literal 3/2 binary64)) (pow.f64 (pow.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)) #s(literal 1/4 binary64)) #s(literal 3/2 binary64)))
(*.f64 (pow.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)))) #s(literal 1/6 binary64)) #s(literal 3/2 binary64)) (pow.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)) #s(literal 3/4 binary64)))
(*.f64 (pow.f64 (pow.f64 #s(literal 1/6 binary64) #s(literal 3/2 binary64)) #s(literal 2 binary64)) (pow.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)) #s(literal 3/2 binary64)))

simplify335.0ms (2.9%)

Algorithm
1×egg-herbie
Rules
4790×*-lowering-*.f32
4790×*-lowering-*.f64
3152×+-lowering-+.f64
3152×+-lowering-+.f32
1306×distribute-lft-in
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
01654908
14454409
214974323
332654294
452944162
081614162
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))))
(* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (pow (sqrt -1) 2) (sqrt 2))) (sqrt (log (/ 1 u1)))))
(* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (pow (sqrt -1) 2) (sqrt 2))) (sqrt (log (/ 1 u1)))))
(* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (pow (sqrt -1) 2) (sqrt 2))) (sqrt (log (/ 1 u1)))))
(* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (pow (sqrt -1) 2) (sqrt 2))) (sqrt (log (/ 1 u1)))))
(* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (sqrt 2))) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))))
(* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (sqrt 2))) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))))
(* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (sqrt 2))) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))))
(* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (sqrt 2))) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))))
(* 1/6 (* (sqrt (log u1)) (* (sqrt -1) (sqrt 2))))
(+ (* -1/3 (* (* (pow u2 2) (* (pow (PI) 2) (* (sqrt -1) (sqrt 2)))) (sqrt (log u1)))) (* 1/6 (* (sqrt (log u1)) (* (sqrt -1) (sqrt 2)))))
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(* 1/6 (pow (* -2 (log u1)) 1/4))
(* 1/6 (pow (* -2 (log u1)) 1/4))
(* 1/6 (pow (* -2 (log u1)) 1/4))
(* 1/6 (pow (* 2 (log (/ 1 u1))) 1/4))
(* 1/6 (pow (* 2 (log (/ 1 u1))) 1/4))
(* 1/6 (pow (* 2 (log (/ 1 u1))) 1/4))
(* 1/6 (pow (* 2 (log (/ 1 u1))) 1/4))
(* 1/6 (pow (* -2 (+ (log -1) (* -1 (log (/ -1 u1))))) 1/4))
(* 1/6 (pow (* -2 (+ (log -1) (* -1 (log (/ -1 u1))))) 1/4))
(* 1/6 (pow (* -2 (+ (log -1) (* -1 (log (/ -1 u1))))) 1/4))
(* 1/6 (pow (* -2 (+ (log -1) (* -1 (log (/ -1 u1))))) 1/4))
(- (* 1/6 (* (sqrt (log u1)) (sqrt -2))) 1/2)
(- (* 1/6 (* (sqrt (log u1)) (sqrt -2))) 1/2)
(- (* 1/6 (* (sqrt (log u1)) (sqrt -2))) 1/2)
(- (* 1/6 (* (sqrt (log u1)) (sqrt -2))) 1/2)
(- (* 1/6 (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1)))) 1/2)
(- (* 1/6 (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1)))) 1/2)
(- (* 1/6 (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1)))) 1/2)
(- (* 1/6 (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1)))) 1/2)
(- (* 1/6 (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))) 1/2)
(- (* 1/6 (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))) 1/2)
(- (* 1/6 (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))) 1/2)
(- (* 1/6 (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))) 1/2)
(* 1/216 (* (sqrt (pow (log u1) 3)) (pow (sqrt -2) 3)))
(* 1/216 (* (sqrt (pow (log u1) 3)) (pow (sqrt -2) 3)))
(* 1/216 (* (sqrt (pow (log u1) 3)) (pow (sqrt -2) 3)))
(* 1/216 (* (sqrt (pow (log u1) 3)) (pow (sqrt -2) 3)))
(* 1/216 (* (sqrt (pow (log (/ 1 u1)) 3)) (* (pow (sqrt -2) 3) (sqrt -1))))
(* 1/216 (* (sqrt (pow (log (/ 1 u1)) 3)) (* (pow (sqrt -2) 3) (sqrt -1))))
(* 1/216 (* (sqrt (pow (log (/ 1 u1)) 3)) (* (pow (sqrt -2) 3) (sqrt -1))))
(* 1/216 (* (sqrt (pow (log (/ 1 u1)) 3)) (* (pow (sqrt -2) 3) (sqrt -1))))
(* 1/216 (* (pow (sqrt -2) 3) (sqrt (pow (+ (log -1) (* -1 (log (/ -1 u1)))) 3))))
(* 1/216 (* (pow (sqrt -2) 3) (sqrt (pow (+ (log -1) (* -1 (log (/ -1 u1)))) 3))))
(* 1/216 (* (pow (sqrt -2) 3) (sqrt (pow (+ (log -1) (* -1 (log (/ -1 u1)))) 3))))
(* 1/216 (* (pow (sqrt -2) 3) (sqrt (pow (+ (log -1) (* -1 (log (/ -1 u1)))) 3))))
Outputs
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(+ 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 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (sqrt 2))) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))))
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(+ 1/2 (+ (* -1/3 (* (* (pow u2 2) (* (pow (PI) 2) (* (sqrt -1) (sqrt 2)))) (sqrt (log u1)))) (* 1/6 (* (sqrt (log u1)) (* (sqrt -1) (sqrt 2))))))
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(+ 1/2 (+ (* 1/6 (* (sqrt (log u1)) (* (sqrt -1) (sqrt 2)))) (* (pow u2 2) (+ (* -1/3 (* (* (pow (PI) 2) (* (sqrt -1) (sqrt 2))) (sqrt (log u1)))) (* (pow u2 2) (+ (* -2/135 (* (* (pow u2 2) (* (pow (PI) 6) (* (sqrt -1) (sqrt 2)))) (sqrt (log u1)))) (* 1/9 (* (* (pow (PI) 4) (* (sqrt -1) (sqrt 2))) (sqrt (log u1))))))))))
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(* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (sqrt 2))) (sqrt (log u1))))
(*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 u2 (PI.f64)))) (*.f64 (sqrt.f64 (log.f64 u1)) (*.f64 (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 -1) (sqrt 2))) (sqrt (log u1))))
(*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 u2 (PI.f64)))) (*.f64 (sqrt.f64 (log.f64 u1)) (*.f64 (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 -1) (sqrt 2))) (sqrt (log u1))))
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(* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (pow (sqrt -1) 2) (sqrt 2))) (sqrt (log (/ 1 u1)))))
(*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 u2 (PI.f64)))) (*.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (log.f64 u1))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -1/6 binary64))))
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(+.f64 #s(literal 1/8 binary64) (*.f64 #s(literal 1/216 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal -2 binary64)) #s(literal -2 binary64)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 u1) #s(literal 3 binary64))))))))
(+ 1/8 (* 1/216 (* (sqrt (pow (log (/ 1 u1)) 3)) (* (pow (sqrt -2) 3) (sqrt -1)))))
(+.f64 #s(literal 1/8 binary64) (*.f64 #s(literal 1/216 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal -2 binary64)) #s(literal -2 binary64)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 u1) #s(literal 3 binary64))))))))
(+ 1/8 (* 1/216 (* (sqrt (pow (log (/ 1 u1)) 3)) (* (pow (sqrt -2) 3) (sqrt -1)))))
(+.f64 #s(literal 1/8 binary64) (*.f64 #s(literal 1/216 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal -2 binary64)) #s(literal -2 binary64)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 u1) #s(literal 3 binary64))))))))
(+ 1/8 (* 1/216 (* (sqrt (pow (log (/ 1 u1)) 3)) (* (pow (sqrt -2) 3) (sqrt -1)))))
(+.f64 #s(literal 1/8 binary64) (*.f64 #s(literal 1/216 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal -2 binary64)) #s(literal -2 binary64)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 u1) #s(literal 3 binary64))))))))
(+ 1/8 (* 1/216 (* (pow (sqrt -2) 3) (sqrt (pow (+ (log -1) (* -1 (log (/ -1 u1)))) 3)))))
(+.f64 #s(literal 1/8 binary64) (*.f64 (sqrt.f64 (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) u1))) #s(literal 3 binary64))) (*.f64 (sqrt.f64 #s(literal -2 binary64)) #s(literal -1/108 binary64))))
(+ 1/8 (* 1/216 (* (pow (sqrt -2) 3) (sqrt (pow (+ (log -1) (* -1 (log (/ -1 u1)))) 3)))))
(+.f64 #s(literal 1/8 binary64) (*.f64 (sqrt.f64 (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) u1))) #s(literal 3 binary64))) (*.f64 (sqrt.f64 #s(literal -2 binary64)) #s(literal -1/108 binary64))))
(+ 1/8 (* 1/216 (* (pow (sqrt -2) 3) (sqrt (pow (+ (log -1) (* -1 (log (/ -1 u1)))) 3)))))
(+.f64 #s(literal 1/8 binary64) (*.f64 (sqrt.f64 (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) u1))) #s(literal 3 binary64))) (*.f64 (sqrt.f64 #s(literal -2 binary64)) #s(literal -1/108 binary64))))
(+ 1/8 (* 1/216 (* (pow (sqrt -2) 3) (sqrt (pow (+ (log -1) (* -1 (log (/ -1 u1)))) 3)))))
(+.f64 #s(literal 1/8 binary64) (*.f64 (sqrt.f64 (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) u1))) #s(literal 3 binary64))) (*.f64 (sqrt.f64 #s(literal -2 binary64)) #s(literal -1/108 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))
(-.f64 #s(literal 0 binary64) (sqrt.f64 (-.f64 #s(literal 0 binary64) (log.f64 u1))))
(* (sqrt (log (/ 1 u1))) (pow (sqrt -1) 2))
(-.f64 #s(literal 0 binary64) (sqrt.f64 (-.f64 #s(literal 0 binary64) (log.f64 u1))))
(* (sqrt (log (/ 1 u1))) (pow (sqrt -1) 2))
(-.f64 #s(literal 0 binary64) (sqrt.f64 (-.f64 #s(literal 0 binary64) (log.f64 u1))))
(* (sqrt (log (/ 1 u1))) (pow (sqrt -1) 2))
(-.f64 #s(literal 0 binary64) (sqrt.f64 (-.f64 #s(literal 0 binary64) (log.f64 u1))))
(* (sqrt -1) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) u1)))))
(* (sqrt -1) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) u1)))))
(* (sqrt -1) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) u1)))))
(* (sqrt -1) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) u1)))))
(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 (pow (* -2 (log u1)) 1/4))
(*.f64 #s(literal 1/6 binary64) (pow.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)) #s(literal 1/4 binary64)))
(* 1/6 (pow (* -2 (log u1)) 1/4))
(*.f64 #s(literal 1/6 binary64) (pow.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)) #s(literal 1/4 binary64)))
(* 1/6 (pow (* -2 (log u1)) 1/4))
(*.f64 #s(literal 1/6 binary64) (pow.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)) #s(literal 1/4 binary64)))
(* 1/6 (pow (* -2 (log u1)) 1/4))
(*.f64 #s(literal 1/6 binary64) (pow.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)) #s(literal 1/4 binary64)))
(* 1/6 (pow (* 2 (log (/ 1 u1))) 1/4))
(*.f64 #s(literal 1/6 binary64) (pow.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)) #s(literal 1/4 binary64)))
(* 1/6 (pow (* 2 (log (/ 1 u1))) 1/4))
(*.f64 #s(literal 1/6 binary64) (pow.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)) #s(literal 1/4 binary64)))
(* 1/6 (pow (* 2 (log (/ 1 u1))) 1/4))
(*.f64 #s(literal 1/6 binary64) (pow.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)) #s(literal 1/4 binary64)))
(* 1/6 (pow (* 2 (log (/ 1 u1))) 1/4))
(*.f64 #s(literal 1/6 binary64) (pow.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)) #s(literal 1/4 binary64)))
(* 1/6 (pow (* -2 (+ (log -1) (* -1 (log (/ -1 u1))))) 1/4))
(*.f64 #s(literal 1/6 binary64) (pow.f64 (*.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) u1))) #s(literal -2 binary64)) #s(literal 1/4 binary64)))
(* 1/6 (pow (* -2 (+ (log -1) (* -1 (log (/ -1 u1))))) 1/4))
(*.f64 #s(literal 1/6 binary64) (pow.f64 (*.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) u1))) #s(literal -2 binary64)) #s(literal 1/4 binary64)))
(* 1/6 (pow (* -2 (+ (log -1) (* -1 (log (/ -1 u1))))) 1/4))
(*.f64 #s(literal 1/6 binary64) (pow.f64 (*.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) u1))) #s(literal -2 binary64)) #s(literal 1/4 binary64)))
(* 1/6 (pow (* -2 (+ (log -1) (* -1 (log (/ -1 u1))))) 1/4))
(*.f64 #s(literal 1/6 binary64) (pow.f64 (*.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) u1))) #s(literal -2 binary64)) #s(literal 1/4 binary64)))
(- (* 1/6 (* (sqrt (log u1)) (sqrt -2))) 1/2)
(+.f64 (*.f64 (sqrt.f64 (log.f64 u1)) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -2 binary64)))) #s(literal -1/2 binary64))
(- (* 1/6 (* (sqrt (log u1)) (sqrt -2))) 1/2)
(+.f64 (*.f64 (sqrt.f64 (log.f64 u1)) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -2 binary64)))) #s(literal -1/2 binary64))
(- (* 1/6 (* (sqrt (log u1)) (sqrt -2))) 1/2)
(+.f64 (*.f64 (sqrt.f64 (log.f64 u1)) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -2 binary64)))) #s(literal -1/2 binary64))
(- (* 1/6 (* (sqrt (log u1)) (sqrt -2))) 1/2)
(+.f64 (*.f64 (sqrt.f64 (log.f64 u1)) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -2 binary64)))) #s(literal -1/2 binary64))
(- (* 1/6 (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1)))) 1/2)
(+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (log.f64 u1))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -2 binary64))))) #s(literal -1/2 binary64))
(- (* 1/6 (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1)))) 1/2)
(+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (log.f64 u1))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -2 binary64))))) #s(literal -1/2 binary64))
(- (* 1/6 (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1)))) 1/2)
(+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (log.f64 u1))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -2 binary64))))) #s(literal -1/2 binary64))
(- (* 1/6 (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1)))) 1/2)
(+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (log.f64 u1))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -2 binary64))))) #s(literal -1/2 binary64))
(- (* 1/6 (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))) 1/2)
(+.f64 (*.f64 (sqrt.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) u1)))) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -2 binary64)))) #s(literal -1/2 binary64))
(- (* 1/6 (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))) 1/2)
(+.f64 (*.f64 (sqrt.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) u1)))) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -2 binary64)))) #s(literal -1/2 binary64))
(- (* 1/6 (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))) 1/2)
(+.f64 (*.f64 (sqrt.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) u1)))) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -2 binary64)))) #s(literal -1/2 binary64))
(- (* 1/6 (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))) 1/2)
(+.f64 (*.f64 (sqrt.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) u1)))) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -2 binary64)))) #s(literal -1/2 binary64))
(* 1/216 (* (sqrt (pow (log u1) 3)) (pow (sqrt -2) 3)))
(*.f64 (sqrt.f64 (pow.f64 (log.f64 u1) #s(literal 3 binary64))) (*.f64 (sqrt.f64 #s(literal -2 binary64)) #s(literal -1/108 binary64)))
(* 1/216 (* (sqrt (pow (log u1) 3)) (pow (sqrt -2) 3)))
(*.f64 (sqrt.f64 (pow.f64 (log.f64 u1) #s(literal 3 binary64))) (*.f64 (sqrt.f64 #s(literal -2 binary64)) #s(literal -1/108 binary64)))
(* 1/216 (* (sqrt (pow (log u1) 3)) (pow (sqrt -2) 3)))
(*.f64 (sqrt.f64 (pow.f64 (log.f64 u1) #s(literal 3 binary64))) (*.f64 (sqrt.f64 #s(literal -2 binary64)) #s(literal -1/108 binary64)))
(* 1/216 (* (sqrt (pow (log u1) 3)) (pow (sqrt -2) 3)))
(*.f64 (sqrt.f64 (pow.f64 (log.f64 u1) #s(literal 3 binary64))) (*.f64 (sqrt.f64 #s(literal -2 binary64)) #s(literal -1/108 binary64)))
(* 1/216 (* (sqrt (pow (log (/ 1 u1)) 3)) (* (pow (sqrt -2) 3) (sqrt -1))))
(*.f64 #s(literal 1/216 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal -2 binary64)) #s(literal -2 binary64)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 u1) #s(literal 3 binary64)))))))
(* 1/216 (* (sqrt (pow (log (/ 1 u1)) 3)) (* (pow (sqrt -2) 3) (sqrt -1))))
(*.f64 #s(literal 1/216 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal -2 binary64)) #s(literal -2 binary64)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 u1) #s(literal 3 binary64)))))))
(* 1/216 (* (sqrt (pow (log (/ 1 u1)) 3)) (* (pow (sqrt -2) 3) (sqrt -1))))
(*.f64 #s(literal 1/216 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal -2 binary64)) #s(literal -2 binary64)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 u1) #s(literal 3 binary64)))))))
(* 1/216 (* (sqrt (pow (log (/ 1 u1)) 3)) (* (pow (sqrt -2) 3) (sqrt -1))))
(*.f64 #s(literal 1/216 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal -2 binary64)) #s(literal -2 binary64)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 u1) #s(literal 3 binary64)))))))
(* 1/216 (* (pow (sqrt -2) 3) (sqrt (pow (+ (log -1) (* -1 (log (/ -1 u1)))) 3))))
(*.f64 (sqrt.f64 (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) u1))) #s(literal 3 binary64))) (*.f64 (sqrt.f64 #s(literal -2 binary64)) #s(literal -1/108 binary64)))
(* 1/216 (* (pow (sqrt -2) 3) (sqrt (pow (+ (log -1) (* -1 (log (/ -1 u1)))) 3))))
(*.f64 (sqrt.f64 (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) u1))) #s(literal 3 binary64))) (*.f64 (sqrt.f64 #s(literal -2 binary64)) #s(literal -1/108 binary64)))
(* 1/216 (* (pow (sqrt -2) 3) (sqrt (pow (+ (log -1) (* -1 (log (/ -1 u1)))) 3))))
(*.f64 (sqrt.f64 (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) u1))) #s(literal 3 binary64))) (*.f64 (sqrt.f64 #s(literal -2 binary64)) #s(literal -1/108 binary64)))
(* 1/216 (* (pow (sqrt -2) 3) (sqrt (pow (+ (log -1) (* -1 (log (/ -1 u1)))) 3))))
(*.f64 (sqrt.f64 (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) u1))) #s(literal 3 binary64))) (*.f64 (sqrt.f64 #s(literal -2 binary64)) #s(literal -1/108 binary64)))

eval542.0ms (4.7%)

Compiler

Compiled 91166 to 4866 computations (94.7% saved)

prune249.0ms (2.2%)

Pruning

14 alts after pruning (12 fresh and 2 done)

PrunedKeptTotal
New2586122598
Fresh13013
Picked415
Done011
Total2603142617
Accuracy
100.0%
Counts
2617 → 14
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.2%
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/36 binary64) (*.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))))))) #s(literal 1/4 binary64)) (-.f64 (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))))) #s(literal 1/2 binary64)))
▶98.0%
(/.f64 (-.f64 (*.f64 (log.f64 u1) #s(literal -1/18 binary64)) #s(literal 1/4 binary64)) (-.f64 (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)))) #s(literal 1/2 binary64)))
98.0%
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))))) (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/36 binary64) (*.f64 (log.f64 u1) #s(literal -2 binary64))))))
98.1%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)))))))
▶98.4%
(+.f64 (pow.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal 1/2 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))
97.9%
(+.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 (pow.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)) #s(literal 1/4 binary64)) #s(literal 2 binary64))) #s(literal 1/2 binary64))
▶97.3%
(+.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 (pow.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)) #s(literal 1/8 binary64)) #s(literal 4 binary64))) #s(literal 1/2 binary64))
✓98.1%
(+.f64 (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)))) #s(literal 1/2 binary64))
97.7%
(+.f64 (*.f64 #s(literal 1/6 binary64) (exp.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)))))) #s(literal 1/2 binary64))
▶99.6%
(+.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal 1/2 binary64)) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))))
99.1%
(+.f64 #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)))) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))))
✓99.3%
(+.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)))))
▶98.2%
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (-.f64 #s(literal 0 binary64) (log.f64 u1))))))
Compiler

Compiled 459 to 382 computations (16.8% saved)

simplify147.0ms (1.3%)

Algorithm
1×egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(log.f64 u1)
✓cost-diff0
(*.f64 (log.f64 u1) #s(literal -1/18 binary64))
✓cost-diff0
(-.f64 (*.f64 (log.f64 u1) #s(literal -1/18 binary64)) #s(literal 1/4 binary64))
✓cost-diff0
(/.f64 (-.f64 (*.f64 (log.f64 u1) #s(literal -1/18 binary64)) #s(literal 1/4 binary64)) (-.f64 (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)))) #s(literal 1/2 binary64)))
✓cost-diff0
(pow.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)) #s(literal 1/8 binary64))
✓cost-diff0
(pow.f64 (pow.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)) #s(literal 1/8 binary64)) #s(literal 4 binary64))
✓cost-diff0
(*.f64 #s(literal 1/6 binary64) (pow.f64 (pow.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)) #s(literal 1/8 binary64)) #s(literal 4 binary64)))
✓cost-diff0
(+.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 (pow.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)) #s(literal 1/8 binary64)) #s(literal 4 binary64))) #s(literal 1/2 binary64))
✓cost-diff0
(sqrt.f64 #s(literal 2 binary64))
✓cost-diff0
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (-.f64 #s(literal 0 binary64) (log.f64 u1))))
✓cost-diff0
(*.f64 #s(literal 1/6 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (-.f64 #s(literal 0 binary64) (log.f64 u1)))))
✓cost-diff0
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (-.f64 #s(literal 0 binary64) (log.f64 u1))))))
✓cost-diff0
(*.f64 (log.f64 u1) #s(literal -2 binary64))
✓cost-diff128
(*.f64 #s(literal 1/36 binary64) (*.f64 (log.f64 u1) #s(literal -2 binary64)))
✓cost-diff192
(pow.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal 1/2 binary64))
✓cost-diff192
(+.f64 (pow.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal 1/2 binary64)) #s(literal 1/2 binary64))
✓cost-diff128
(*.f64 #s(literal 1/36 binary64) (*.f64 (log.f64 u1) #s(literal -2 binary64)))
✓cost-diff192
(pow.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal 1/2 binary64))
✓cost-diff192
(*.f64 (pow.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal 1/2 binary64)) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))))
✓cost-diff192
(+.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal 1/2 binary64)) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))))
Rules
3284×fnmadd-define
2584×fma-define
1350×fmsub-define
1318×fnmsub-define
1092×fma-lowering-fma.f32
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
040249
178231
2121231
3163231
4208231
5342231
6598231
71254231
82280231
93973231
105424231
116627231
126817231
137673231
147743231
07743231
Stop Event
1×iter limit
1×saturated
Calls
Call 1
Inputs
(+ 1/2 (* (pow (* 1/36 (* (log u1) -2)) 1/2) (cos (* 2 (* (PI) u2)))))
1/2
(* (pow (* 1/36 (* (log u1) -2)) 1/2) (cos (* 2 (* (PI) u2))))
(pow (* 1/36 (* (log u1) -2)) 1/2)
(* 1/36 (* (log u1) -2))
1/36
(* (log u1) -2)
(log u1)
u1
-2
(cos (* 2 (* (PI) u2)))
(* 2 (* (PI) u2))
2
(* (PI) u2)
(PI)
u2
(+ (pow (* 1/36 (* (log u1) -2)) 1/2) 1/2)
(pow (* 1/36 (* (log u1) -2)) 1/2)
(* 1/36 (* (log u1) -2))
1/36
(* (log u1) -2)
(log u1)
u1
-2
1/2
(+ 1/2 (* 1/6 (* (sqrt 2) (sqrt (- 0 (log u1))))))
1/2
(* 1/6 (* (sqrt 2) (sqrt (- 0 (log u1)))))
1/6
(* (sqrt 2) (sqrt (- 0 (log u1))))
(sqrt 2)
2
(sqrt (- 0 (log u1)))
(- 0 (log u1))
0
(log u1)
u1
(+ (* 1/6 (pow (pow (* (log u1) -2) 1/8) 4)) 1/2)
(* 1/6 (pow (pow (* (log u1) -2) 1/8) 4))
1/6
(pow (pow (* (log u1) -2) 1/8) 4)
(pow (* (log u1) -2) 1/8)
(* (log u1) -2)
(log u1)
u1
-2
1/8
4
1/2
(/ (- (* (log u1) -1/18) 1/4) (- (* 1/6 (sqrt (* -2 (log u1)))) 1/2))
(- (* (log u1) -1/18) 1/4)
(* (log u1) -1/18)
(log u1)
u1
-1/18
1/4
(- (* 1/6 (sqrt (* -2 (log u1)))) 1/2)
(* 1/6 (sqrt (* -2 (log u1))))
1/6
(sqrt (* -2 (log u1)))
(* -2 (log u1))
-2
1/2
Outputs
(+ 1/2 (* (pow (* 1/36 (* (log u1) -2)) 1/2) (cos (* 2 (* (PI) u2)))))
(+.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -1/18 binary64))) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))))
1/2
#s(literal 1/2 binary64)
(* (pow (* 1/36 (* (log u1) -2)) 1/2) (cos (* 2 (* (PI) u2))))
(*.f64 (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -1/18 binary64))) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))))
(pow (* 1/36 (* (log u1) -2)) 1/2)
(sqrt.f64 (*.f64 (log.f64 u1) #s(literal -1/18 binary64)))
(* 1/36 (* (log u1) -2))
(*.f64 (log.f64 u1) #s(literal -1/18 binary64))
1/36
#s(literal 1/36 binary64)
(* (log u1) -2)
(*.f64 (log.f64 u1) #s(literal -2 binary64))
(log u1)
(log.f64 u1)
u1
-2
#s(literal -2 binary64)
(cos (* 2 (* (PI) u2)))
(cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))
(* 2 (* (PI) u2))
(*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))
2
#s(literal 2 binary64)
(* (PI) u2)
(*.f64 (PI.f64) u2)
(PI)
(PI.f64)
u2
(+ (pow (* 1/36 (* (log u1) -2)) 1/2) 1/2)
(+.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -1/18 binary64))))
(pow (* 1/36 (* (log u1) -2)) 1/2)
(sqrt.f64 (*.f64 (log.f64 u1) #s(literal -1/18 binary64)))
(* 1/36 (* (log u1) -2))
(*.f64 (log.f64 u1) #s(literal -1/18 binary64))
1/36
#s(literal 1/36 binary64)
(* (log u1) -2)
(*.f64 (log.f64 u1) #s(literal -2 binary64))
(log u1)
(log.f64 u1)
u1
-2
#s(literal -2 binary64)
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* 1/6 (* (sqrt 2) (sqrt (- 0 (log u1))))))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (-.f64 #s(literal 0 binary64) (log.f64 u1))))))
1/2
#s(literal 1/2 binary64)
(* 1/6 (* (sqrt 2) (sqrt (- 0 (log u1)))))
(*.f64 #s(literal 1/6 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (-.f64 #s(literal 0 binary64) (log.f64 u1)))))
1/6
#s(literal 1/6 binary64)
(* (sqrt 2) (sqrt (- 0 (log u1))))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (-.f64 #s(literal 0 binary64) (log.f64 u1))))
(sqrt 2)
(sqrt.f64 #s(literal 2 binary64))
2
#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
(+ (* 1/6 (pow (pow (* (log u1) -2) 1/8) 4)) 1/2)
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) (pow.f64 (pow.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)) #s(literal 1/8 binary64)) #s(literal 4 binary64))))
(* 1/6 (pow (pow (* (log u1) -2) 1/8) 4))
(*.f64 #s(literal 1/6 binary64) (pow.f64 (pow.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)) #s(literal 1/8 binary64)) #s(literal 4 binary64)))
1/6
#s(literal 1/6 binary64)
(pow (pow (* (log u1) -2) 1/8) 4)
(pow.f64 (pow.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)) #s(literal 1/8 binary64)) #s(literal 4 binary64))
(pow (* (log u1) -2) 1/8)
(pow.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)) #s(literal 1/8 binary64))
(* (log u1) -2)
(*.f64 (log.f64 u1) #s(literal -2 binary64))
(log u1)
(log.f64 u1)
u1
-2
#s(literal -2 binary64)
1/8
#s(literal 1/8 binary64)
4
#s(literal 4 binary64)
1/2
#s(literal 1/2 binary64)
(/ (- (* (log u1) -1/18) 1/4) (- (* 1/6 (sqrt (* -2 (log u1)))) 1/2))
(/.f64 (-.f64 #s(literal -1/4 binary64) (*.f64 (log.f64 u1) #s(literal 1/18 binary64))) (+.f64 (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)))) #s(literal -1/2 binary64)))
(- (* (log u1) -1/18) 1/4)
(-.f64 #s(literal -1/4 binary64) (*.f64 (log.f64 u1) #s(literal 1/18 binary64)))
(* (log u1) -1/18)
(*.f64 (log.f64 u1) #s(literal -1/18 binary64))
(log u1)
(log.f64 u1)
u1
-1/18
#s(literal -1/18 binary64)
1/4
#s(literal 1/4 binary64)
(- (* 1/6 (sqrt (* -2 (log u1)))) 1/2)
(+.f64 (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)))) #s(literal -1/2 binary64))
(* 1/6 (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)
1/2
#s(literal 1/2 binary64)

localize239.0ms (2.1%)

Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
✓accuracy99.8%
(-.f64 (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)))) #s(literal 1/2 binary64))
✓accuracy99.4%
(*.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))))
✓accuracy99.3%
(*.f64 (log.f64 u1) #s(literal -1/18 binary64))
✓accuracy99.3%
(/.f64 (-.f64 (*.f64 (log.f64 u1) #s(literal -1/18 binary64)) #s(literal 1/4 binary64)) (-.f64 (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)))) #s(literal 1/2 binary64)))
✓accuracy99.9%
(pow.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)) #s(literal 1/8 binary64))
✓accuracy99.9%
(+.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 (pow.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)) #s(literal 1/8 binary64)) #s(literal 4 binary64))) #s(literal 1/2 binary64))
✓accuracy99.4%
(*.f64 #s(literal 1/6 binary64) (pow.f64 (pow.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)) #s(literal 1/8 binary64)) #s(literal 4 binary64)))
✓accuracy98.4%
(pow.f64 (pow.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)) #s(literal 1/8 binary64)) #s(literal 4 binary64))
✓accuracy99.9%
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (-.f64 #s(literal 0 binary64) (log.f64 u1))))))
✓accuracy99.8%
(sqrt.f64 (-.f64 #s(literal 0 binary64) (log.f64 u1)))
✓accuracy99.4%
(*.f64 #s(literal 1/6 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (-.f64 #s(literal 0 binary64) (log.f64 u1)))))
✓accuracy99.3%
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (-.f64 #s(literal 0 binary64) (log.f64 u1))))
✓accuracy100.0%
(log.f64 u1)
✓accuracy99.9%
(+.f64 (pow.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal 1/2 binary64)) #s(literal 1/2 binary64))
✓accuracy99.9%
(pow.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal 1/2 binary64))
✓accuracy99.3%
(*.f64 #s(literal 1/36 binary64) (*.f64 (log.f64 u1) #s(literal -2 binary64)))
✓accuracy99.9%
(+.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal 1/2 binary64)) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))))
✓accuracy99.9%
(pow.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal 1/2 binary64))
✓accuracy99.7%
(*.f64 (PI.f64) u2)
✓accuracy99.3%
(*.f64 #s(literal 1/36 binary64) (*.f64 (log.f64 u1) #s(literal -2 binary64)))
Results
173.0ms256×0valid
Compiler

Compiled 265 to 41 computations (84.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 92.0ms
ival-mult: 38.0ms (41.5% of total)
ival-pow: 17.0ms (18.6% of total)
...c/correct-round.rkt:119:19: 12.0ms (13.1% of total)
ival-sqrt: 6.0ms (6.6% of total)
ival-add: 5.0ms (5.5% of total)
ival-sub: 4.0ms (4.4% of total)
ival-log: 4.0ms (4.4% of total)
ival-div: 2.0ms (2.2% of total)
ival-cos: 2.0ms (2.2% of total)
ival-pi: 1.0ms (1.1% of total)
const: 1.0ms (1.1% of total)
backward-pass: 0.0ms (0% of total)

series79.0ms (0.7%)

Counts
22 → 276
Calls
Call 1
Inputs
#<alt (+ 1/2 (* (pow (* 1/36 (* (log u1) -2)) 1/2) (cos (* 2 (* (PI) u2)))))>
#<alt (* (pow (* 1/36 (* (log u1) -2)) 1/2) (cos (* 2 (* (PI) u2))))>
#<alt (pow (* 1/36 (* (log u1) -2)) 1/2)>
#<alt (* 1/36 (* (log u1) -2))>
#<alt (+ (pow (* 1/36 (* (log u1) -2)) 1/2) 1/2)>
#<alt (* (log u1) -2)>
#<alt (+ 1/2 (* 1/6 (* (sqrt 2) (sqrt (- 0 (log u1))))))>
#<alt (* 1/6 (* (sqrt 2) (sqrt (- 0 (log u1)))))>
#<alt (* (sqrt 2) (sqrt (- 0 (log u1))))>
#<alt (sqrt 2)>
#<alt (+ (* 1/6 (pow (pow (* (log u1) -2) 1/8) 4)) 1/2)>
#<alt (* 1/6 (pow (pow (* (log u1) -2) 1/8) 4))>
#<alt (pow (pow (* (log u1) -2) 1/8) 4)>
#<alt (pow (* (log u1) -2) 1/8)>
#<alt (/ (- (* (log u1) -1/18) 1/4) (- (* 1/6 (sqrt (* -2 (log u1)))) 1/2))>
#<alt (- (* (log u1) -1/18) 1/4)>
#<alt (* (log u1) -1/18)>
#<alt (log u1)>
#<alt (* (PI) u2)>
#<alt (sqrt (- 0 (log u1)))>
#<alt (* 1/6 (sqrt (* -2 (log u1))))>
#<alt (- (* 1/6 (sqrt (* -2 (log u1)))) 1/2)>
Outputs
#<alt (+ 1/2 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -1/18)) (sqrt (log u1))))>
#<alt (+ 1/2 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -1/18)) (sqrt (log u1))))>
#<alt (+ 1/2 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -1/18)) (sqrt (log u1))))>
#<alt (+ 1/2 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -1/18)) (sqrt (log u1))))>
#<alt (+ 1/2 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (sqrt -1/18))) (sqrt (log (/ 1 u1)))))>
#<alt (+ 1/2 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (sqrt -1/18))) (sqrt (log (/ 1 u1)))))>
#<alt (+ 1/2 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (sqrt -1/18))) (sqrt (log (/ 1 u1)))))>
#<alt (+ 1/2 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (sqrt -1/18))) (sqrt (log (/ 1 u1)))))>
#<alt (+ 1/2 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -1/18)) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))))>
#<alt (+ 1/2 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -1/18)) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))))>
#<alt (+ 1/2 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -1/18)) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))))>
#<alt (+ 1/2 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -1/18)) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))))>
#<alt (+ 1/2 (* (sqrt (log u1)) (sqrt -1/18)))>
#<alt (+ 1/2 (+ (* -2 (* (* (pow u2 2) (* (pow (PI) 2) (sqrt -1/18))) (sqrt (log u1)))) (* (sqrt (log u1)) (sqrt -1/18))))>
#<alt (+ 1/2 (+ (* (sqrt (log u1)) (sqrt -1/18)) (* (pow u2 2) (+ (* -2 (* (* (pow (PI) 2) (sqrt -1/18)) (sqrt (log u1)))) (* 2/3 (* (* (pow u2 2) (* (pow (PI) 4) (sqrt -1/18))) (sqrt (log u1))))))))>
#<alt (+ 1/2 (+ (* (sqrt (log u1)) (sqrt -1/18)) (* (pow u2 2) (+ (* -2 (* (* (pow (PI) 2) (sqrt -1/18)) (sqrt (log u1)))) (* (pow u2 2) (+ (* -4/45 (* (* (pow u2 2) (* (pow (PI) 6) (sqrt -1/18))) (sqrt (log u1)))) (* 2/3 (* (* (pow (PI) 4) (sqrt -1/18)) (sqrt (log u1))))))))))>
#<alt (+ 1/2 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -1/18)) (sqrt (log u1))))>
#<alt (+ 1/2 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -1/18)) (sqrt (log u1))))>
#<alt (+ 1/2 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -1/18)) (sqrt (log u1))))>
#<alt (+ 1/2 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -1/18)) (sqrt (log u1))))>
#<alt (+ 1/2 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -1/18)) (sqrt (log u1))))>
#<alt (+ 1/2 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -1/18)) (sqrt (log u1))))>
#<alt (+ 1/2 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -1/18)) (sqrt (log u1))))>
#<alt (+ 1/2 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -1/18)) (sqrt (log u1))))>
#<alt (* (* (cos (* 2 (* u2 (PI)))) (sqrt -1/18)) (sqrt (log u1)))>
#<alt (* (* (cos (* 2 (* u2 (PI)))) (sqrt -1/18)) (sqrt (log u1)))>
#<alt (* (* (cos (* 2 (* u2 (PI)))) (sqrt -1/18)) (sqrt (log u1)))>
#<alt (* (* (cos (* 2 (* u2 (PI)))) (sqrt -1/18)) (sqrt (log u1)))>
#<alt (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (sqrt -1/18))) (sqrt (log (/ 1 u1))))>
#<alt (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (sqrt -1/18))) (sqrt (log (/ 1 u1))))>
#<alt (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (sqrt -1/18))) (sqrt (log (/ 1 u1))))>
#<alt (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (sqrt -1/18))) (sqrt (log (/ 1 u1))))>
#<alt (* (* (cos (* 2 (* u2 (PI)))) (sqrt -1/18)) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))>
#<alt (* (* (cos (* 2 (* u2 (PI)))) (sqrt -1/18)) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))>
#<alt (* (* (cos (* 2 (* u2 (PI)))) (sqrt -1/18)) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))>
#<alt (* (* (cos (* 2 (* u2 (PI)))) (sqrt -1/18)) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))>
#<alt (* (sqrt (log u1)) (sqrt -1/18))>
#<alt (+ (* -2 (* (* (pow u2 2) (* (pow (PI) 2) (sqrt -1/18))) (sqrt (log u1)))) (* (sqrt (log u1)) (sqrt -1/18)))>
#<alt (+ (* (sqrt (log u1)) (sqrt -1/18)) (* (pow u2 2) (+ (* -2 (* (* (pow (PI) 2) (sqrt -1/18)) (sqrt (log u1)))) (* 2/3 (* (* (pow u2 2) (* (pow (PI) 4) (sqrt -1/18))) (sqrt (log u1)))))))>
#<alt (+ (* (sqrt (log u1)) (sqrt -1/18)) (* (pow u2 2) (+ (* -2 (* (* (pow (PI) 2) (sqrt -1/18)) (sqrt (log u1)))) (* (pow u2 2) (+ (* -4/45 (* (* (pow u2 2) (* (pow (PI) 6) (sqrt -1/18))) (sqrt (log u1)))) (* 2/3 (* (* (pow (PI) 4) (sqrt -1/18)) (sqrt (log u1)))))))))>
#<alt (* (* (cos (* 2 (* u2 (PI)))) (sqrt -1/18)) (sqrt (log u1)))>
#<alt (* (* (cos (* 2 (* u2 (PI)))) (sqrt -1/18)) (sqrt (log u1)))>
#<alt (* (* (cos (* 2 (* u2 (PI)))) (sqrt -1/18)) (sqrt (log u1)))>
#<alt (* (* (cos (* 2 (* u2 (PI)))) (sqrt -1/18)) (sqrt (log u1)))>
#<alt (* (* (cos (* 2 (* u2 (PI)))) (sqrt -1/18)) (sqrt (log u1)))>
#<alt (* (* (cos (* 2 (* u2 (PI)))) (sqrt -1/18)) (sqrt (log u1)))>
#<alt (* (* (cos (* 2 (* u2 (PI)))) (sqrt -1/18)) (sqrt (log u1)))>
#<alt (* (* (cos (* 2 (* u2 (PI)))) (sqrt -1/18)) (sqrt (log 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 (+ 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 (* -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 -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 (* (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))))))))>
#<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 (pow (* -2 (log u1)) 1/8)>
#<alt (pow (* -2 (log u1)) 1/8)>
#<alt (pow (* -2 (log u1)) 1/8)>
#<alt (pow (* -2 (log u1)) 1/8)>
#<alt (pow (* 2 (log (/ 1 u1))) 1/8)>
#<alt (pow (* 2 (log (/ 1 u1))) 1/8)>
#<alt (pow (* 2 (log (/ 1 u1))) 1/8)>
#<alt (pow (* 2 (log (/ 1 u1))) 1/8)>
#<alt (pow (* -2 (+ (log -1) (* -1 (log (/ -1 u1))))) 1/8)>
#<alt (pow (* -2 (+ (log -1) (* -1 (log (/ -1 u1))))) 1/8)>
#<alt (pow (* -2 (+ (log -1) (* -1 (log (/ -1 u1))))) 1/8)>
#<alt (pow (* -2 (+ (log -1) (* -1 (log (/ -1 u1))))) 1/8)>
#<alt (/ (- (* -1/18 (log u1)) 1/4) (- (* 1/6 (* (sqrt (log u1)) (sqrt -2))) 1/2))>
#<alt (/ (- (* -1/18 (log u1)) 1/4) (- (* 1/6 (* (sqrt (log u1)) (sqrt -2))) 1/2))>
#<alt (/ (- (* -1/18 (log u1)) 1/4) (- (* 1/6 (* (sqrt (log u1)) (sqrt -2))) 1/2))>
#<alt (/ (- (* -1/18 (log u1)) 1/4) (- (* 1/6 (* (sqrt (log u1)) (sqrt -2))) 1/2))>
#<alt (/ (- (* 1/18 (log (/ 1 u1))) 1/4) (- (* 1/6 (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1)))) 1/2))>
#<alt (/ (- (* 1/18 (log (/ 1 u1))) 1/4) (- (* 1/6 (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1)))) 1/2))>
#<alt (/ (- (* 1/18 (log (/ 1 u1))) 1/4) (- (* 1/6 (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1)))) 1/2))>
#<alt (/ (- (* 1/18 (log (/ 1 u1))) 1/4) (- (* 1/6 (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1)))) 1/2))>
#<alt (/ (- (* -1/18 (+ (log -1) (* -1 (log (/ -1 u1))))) 1/4) (- (* 1/6 (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))) 1/2))>
#<alt (/ (- (* -1/18 (+ (log -1) (* -1 (log (/ -1 u1))))) 1/4) (- (* 1/6 (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))) 1/2))>
#<alt (/ (- (* -1/18 (+ (log -1) (* -1 (log (/ -1 u1))))) 1/4) (- (* 1/6 (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))) 1/2))>
#<alt (/ (- (* -1/18 (+ (log -1) (* -1 (log (/ -1 u1))))) 1/4) (- (* 1/6 (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))) 1/2))>
#<alt (- (* -1/18 (log u1)) 1/4)>
#<alt (- (* -1/18 (log u1)) 1/4)>
#<alt (- (* -1/18 (log u1)) 1/4)>
#<alt (- (* -1/18 (log u1)) 1/4)>
#<alt (- (* 1/18 (log (/ 1 u1))) 1/4)>
#<alt (- (* 1/18 (log (/ 1 u1))) 1/4)>
#<alt (- (* 1/18 (log (/ 1 u1))) 1/4)>
#<alt (- (* 1/18 (log (/ 1 u1))) 1/4)>
#<alt (- (* -1/18 (+ (log -1) (* -1 (log (/ -1 u1))))) 1/4)>
#<alt (- (* -1/18 (+ (log -1) (* -1 (log (/ -1 u1))))) 1/4)>
#<alt (- (* -1/18 (+ (log -1) (* -1 (log (/ -1 u1))))) 1/4)>
#<alt (- (* -1/18 (+ (log -1) (* -1 (log (/ -1 u1))))) 1/4)>
#<alt (* -1/18 (log u1))>
#<alt (* -1/18 (log u1))>
#<alt (* -1/18 (log u1))>
#<alt (* -1/18 (log u1))>
#<alt (* 1/18 (log (/ 1 u1)))>
#<alt (* 1/18 (log (/ 1 u1)))>
#<alt (* 1/18 (log (/ 1 u1)))>
#<alt (* 1/18 (log (/ 1 u1)))>
#<alt (* -1/18 (+ (log -1) (* -1 (log (/ -1 u1)))))>
#<alt (* -1/18 (+ (log -1) (* -1 (log (/ -1 u1)))))>
#<alt (* -1/18 (+ (log -1) (* -1 (log (/ -1 u1)))))>
#<alt (* -1/18 (+ (log -1) (* -1 (log (/ -1 u1)))))>
#<alt (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 (* u2 (PI))>
#<alt (* u2 (PI))>
#<alt (* u2 (PI))>
#<alt (* u2 (PI))>
#<alt (* u2 (PI))>
#<alt (* u2 (PI))>
#<alt (* u2 (PI))>
#<alt (* u2 (PI))>
#<alt (* u2 (PI))>
#<alt (* u2 (PI))>
#<alt (* u2 (PI))>
#<alt (* u2 (PI))>
#<alt (* (sqrt (log u1)) (sqrt -1))>
#<alt (* (sqrt (log u1)) (sqrt -1))>
#<alt (* (sqrt (log u1)) (sqrt -1))>
#<alt (* (sqrt (log u1)) (sqrt -1))>
#<alt (* (sqrt (log (/ 1 u1))) (pow (sqrt -1) 2))>
#<alt (* (sqrt (log (/ 1 u1))) (pow (sqrt -1) 2))>
#<alt (* (sqrt (log (/ 1 u1))) (pow (sqrt -1) 2))>
#<alt (* (sqrt (log (/ 1 u1))) (pow (sqrt -1) 2))>
#<alt (* (sqrt -1) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))>
#<alt (* (sqrt -1) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))>
#<alt (* (sqrt -1) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))>
#<alt (* (sqrt -1) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))>
#<alt (* 1/6 (* (sqrt (log u1)) (sqrt -2)))>
#<alt (* 1/6 (* (sqrt (log u1)) (sqrt -2)))>
#<alt (* 1/6 (* (sqrt (log u1)) (sqrt -2)))>
#<alt (* 1/6 (* (sqrt (log u1)) (sqrt -2)))>
#<alt (* 1/6 (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1))))>
#<alt (* 1/6 (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1))))>
#<alt (* 1/6 (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1))))>
#<alt (* 1/6 (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1))))>
#<alt (* 1/6 (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))))>
#<alt (* 1/6 (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))))>
#<alt (* 1/6 (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))))>
#<alt (* 1/6 (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))))>
#<alt (- (* 1/6 (* (sqrt (log u1)) (sqrt -2))) 1/2)>
#<alt (- (* 1/6 (* (sqrt (log u1)) (sqrt -2))) 1/2)>
#<alt (- (* 1/6 (* (sqrt (log u1)) (sqrt -2))) 1/2)>
#<alt (- (* 1/6 (* (sqrt (log u1)) (sqrt -2))) 1/2)>
#<alt (- (* 1/6 (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1)))) 1/2)>
#<alt (- (* 1/6 (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1)))) 1/2)>
#<alt (- (* 1/6 (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1)))) 1/2)>
#<alt (- (* 1/6 (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1)))) 1/2)>
#<alt (- (* 1/6 (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))) 1/2)>
#<alt (- (* 1/6 (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))) 1/2)>
#<alt (- (* 1/6 (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))) 1/2)>
#<alt (- (* 1/6 (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))) 1/2)>
Calls

69 calls:

TimeVariablePointExpression
66.0ms
u1
@inf
(+ 1/2 (* (pow (* 1/36 (* (log u1) -2)) 1/2) (cos (* 2 (* (PI) u2)))))
1.0ms
u1
@0
(+ 1/2 (* (pow (* 1/36 (* (log u1) -2)) 1/2) (cos (* 2 (* (PI) u2)))))
1.0ms
u2
@0
(+ 1/2 (* (pow (* 1/36 (* (log u1) -2)) 1/2) (cos (* 2 (* (PI) u2)))))
1.0ms
u1
@-inf
(/ (- (* (log u1) -1/18) 1/4) (- (* 1/6 (sqrt (* -2 (log u1)))) 1/2))
1.0ms
u1
@inf
(/ (- (* (log u1) -1/18) 1/4) (- (* 1/6 (sqrt (* -2 (log u1)))) 1/2))

rewrite457.0ms (3.9%)

Algorithm
1×batch-egg-rewrite
Rules
4578×*-lowering-*.f32
4578×*-lowering-*.f64
3912×/-lowering-/.f32
3912×/-lowering-/.f64
1366×pow-lowering-pow.f64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
040153
1229130
21560130
08972130
Stop Event
1×iter limit
1×node limit
Counts
22 → 1123
Calls
Call 1
Inputs
(+ 1/2 (* (pow (* 1/36 (* (log u1) -2)) 1/2) (cos (* 2 (* (PI) u2)))))
(* (pow (* 1/36 (* (log u1) -2)) 1/2) (cos (* 2 (* (PI) u2))))
(pow (* 1/36 (* (log u1) -2)) 1/2)
(* 1/36 (* (log u1) -2))
(+ (pow (* 1/36 (* (log u1) -2)) 1/2) 1/2)
(* (log u1) -2)
(+ 1/2 (* 1/6 (* (sqrt 2) (sqrt (- 0 (log u1))))))
(* 1/6 (* (sqrt 2) (sqrt (- 0 (log u1)))))
(* (sqrt 2) (sqrt (- 0 (log u1))))
(sqrt 2)
(+ (* 1/6 (pow (pow (* (log u1) -2) 1/8) 4)) 1/2)
(* 1/6 (pow (pow (* (log u1) -2) 1/8) 4))
(pow (pow (* (log u1) -2) 1/8) 4)
(pow (* (log u1) -2) 1/8)
(/ (- (* (log u1) -1/18) 1/4) (- (* 1/6 (sqrt (* -2 (log u1)))) 1/2))
(- (* (log u1) -1/18) 1/4)
(* (log u1) -1/18)
(log u1)
(* (PI) u2)
(sqrt (- 0 (log u1)))
(* 1/6 (sqrt (* -2 (log u1))))
(- (* 1/6 (sqrt (* -2 (log u1)))) 1/2)
Outputs
(+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))) (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -1/18 binary64)))))
(+.f64 (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))) (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -1/18 binary64)))) #s(literal 1/2 binary64))
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(*.f64 (+.f64 (pow.f64 (*.f64 (log.f64 u1) #s(literal -1/18 binary64)) #s(literal 3/2 binary64)) #s(literal -1/8 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 (pow.f64 (log.f64 u1) #s(literal 2 binary64)) #s(literal 1/324 binary64)) (+.f64 #s(literal 1/16 binary64) (*.f64 (log.f64 u1) #s(literal -1/72 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 (log.f64 u1) #s(literal -1/18 binary64)) #s(literal 1/4 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 (log.f64 u1) #s(literal -1/18 binary64)) #s(literal 1/4 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -1/18 binary64))) #s(literal -1/2 binary64)))))
(*.f64 (/.f64 (+.f64 (*.f64 (log.f64 u1) #s(literal -1/18 binary64)) #s(literal -1/4 binary64)) (+.f64 (*.f64 (log.f64 u1) #s(literal -1/18 binary64)) #s(literal -1/4 binary64))) (+.f64 (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -1/18 binary64))) #s(literal -1/2 binary64)))
(*.f64 (/.f64 (+.f64 (*.f64 (log.f64 u1) #s(literal -1/18 binary64)) #s(literal -1/4 binary64)) (+.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 (log.f64 u1) #s(literal -1/18 binary64)) #s(literal 3/2 binary64)))) (-.f64 (+.f64 (*.f64 (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 (*.f64 (pow.f64 (log.f64 u1) #s(literal 3 binary64)) #s(literal -1/5832 binary64)) #s(literal -1/64 binary64)) (+.f64 (*.f64 (log.f64 u1) #s(literal -1/18 binary64)) #s(literal -1/4 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 (pow.f64 (log.f64 u1) #s(literal 2 binary64)) #s(literal 1/324 binary64)) (+.f64 #s(literal 1/16 binary64) (*.f64 (log.f64 u1) #s(literal -1/72 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -1/18 binary64))) #s(literal -1/2 binary64)))))
(*.f64 (/.f64 (+.f64 (*.f64 (pow.f64 (log.f64 u1) #s(literal 3 binary64)) #s(literal -1/5832 binary64)) #s(literal -1/64 binary64)) (/.f64 (+.f64 (*.f64 (log.f64 u1) #s(literal -1/18 binary64)) #s(literal -1/4 binary64)) (+.f64 (*.f64 (log.f64 u1) #s(literal -1/18 binary64)) #s(literal -1/4 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 (pow.f64 (log.f64 u1) #s(literal 2 binary64)) #s(literal 1/324 binary64)) (+.f64 #s(literal 1/16 binary64) (*.f64 (log.f64 u1) #s(literal -1/72 binary64))))) (+.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -1/18 binary64))))))
(*.f64 (/.f64 (+.f64 (*.f64 (pow.f64 (log.f64 u1) #s(literal 2 binary64)) #s(literal 1/324 binary64)) #s(literal -1/16 binary64)) (/.f64 (+.f64 (*.f64 (log.f64 u1) #s(literal -1/18 binary64)) #s(literal -1/4 binary64)) (+.f64 (*.f64 (log.f64 u1) #s(literal -1/18 binary64)) #s(literal -1/4 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) (+.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 (*.f64 (pow.f64 (log.f64 u1) #s(literal 3 binary64)) #s(literal -1/5832 binary64)) #s(literal -1/64 binary64)) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 (pow.f64 (log.f64 u1) #s(literal 2 binary64)) #s(literal 1/324 binary64)) (+.f64 #s(literal 1/16 binary64) (*.f64 (log.f64 u1) #s(literal -1/72 binary64))))) (+.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -1/18 binary64))))))
(*.f64 (/.f64 (+.f64 (*.f64 (pow.f64 (log.f64 u1) #s(literal 3 binary64)) #s(literal -1/5832 binary64)) #s(literal -1/64 binary64)) (+.f64 (neg.f64 (*.f64 (log.f64 u1) #s(literal -1/18 binary64))) #s(literal 1/4 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 (pow.f64 (log.f64 u1) #s(literal 2 binary64)) #s(literal 1/324 binary64)) (+.f64 #s(literal 1/16 binary64) (*.f64 (log.f64 u1) #s(literal -1/72 binary64))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -1/18 binary64))) #s(literal -1/2 binary64))))))
(*.f64 (/.f64 (+.f64 (*.f64 (pow.f64 (log.f64 u1) #s(literal 3 binary64)) #s(literal -1/5832 binary64)) #s(literal -1/64 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -1/18 binary64))) #s(literal -1/2 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 (pow.f64 (log.f64 u1) #s(literal 2 binary64)) #s(literal 1/324 binary64)) (+.f64 #s(literal 1/16 binary64) (*.f64 (log.f64 u1) #s(literal -1/72 binary64))))) (+.f64 (*.f64 (log.f64 u1) #s(literal -1/18 binary64)) #s(literal -1/4 binary64))))
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(*.f64 (/.f64 (+.f64 (*.f64 (pow.f64 (log.f64 u1) #s(literal 2 binary64)) #s(literal 1/324 binary64)) #s(literal -1/16 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 (*.f64 (log.f64 u1) #s(literal -1/18 binary64)) #s(literal 1/4 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))))))))
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(*.f64 (/.f64 (+.f64 (*.f64 (pow.f64 (log.f64 u1) #s(literal 2 binary64)) #s(literal 1/324 binary64)) #s(literal -1/16 binary64)) (/.f64 (+.f64 (*.f64 (log.f64 u1) #s(literal -1/18 binary64)) #s(literal -1/4 binary64)) (+.f64 (pow.f64 (*.f64 (log.f64 u1) #s(literal -1/18 binary64)) #s(literal 3/2 binary64)) #s(literal -1/8 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 (log.f64 u1) #s(literal -1/18 binary64)) #s(literal 1/4 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)))))))

simplify284.0ms (2.5%)

Algorithm
1×egg-herbie
Rules
4504×*-lowering-*.f32
4504×*-lowering-*.f64
2612×+-lowering-+.f64
2612×+-lowering-+.f32
1226×fma-lowering-fma.f32
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01283132
13342907
29992853
332162842
442702842
569452842
080452842
Stop Event
1×iter limit
1×node limit
Counts
276 → 276
Calls
Call 1
Inputs
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(+ 1/2 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -1/18)) (sqrt (log u1))))
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(+ 1/2 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -1/18)) (sqrt (log u1))))
(+ 1/2 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (sqrt -1/18))) (sqrt (log (/ 1 u1)))))
(+ 1/2 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (sqrt -1/18))) (sqrt (log (/ 1 u1)))))
(+ 1/2 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (sqrt -1/18))) (sqrt (log (/ 1 u1)))))
(+ 1/2 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (sqrt -1/18))) (sqrt (log (/ 1 u1)))))
(+ 1/2 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -1/18)) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))))
(+ 1/2 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -1/18)) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))))
(+ 1/2 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -1/18)) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))))
(+ 1/2 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -1/18)) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))))
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(+ 1/2 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -1/18)) (sqrt (log u1))))
(+ 1/2 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -1/18)) (sqrt (log u1))))
(* (* (cos (* 2 (* u2 (PI)))) (sqrt -1/18)) (sqrt (log u1)))
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(* (* (cos (* 2 (* u2 (PI)))) (sqrt -1/18)) (sqrt (log u1)))
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(* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (sqrt -1/18))) (sqrt (log (/ 1 u1))))
(* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (sqrt -1/18))) (sqrt (log (/ 1 u1))))
(* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (sqrt -1/18))) (sqrt (log (/ 1 u1))))
(* (* (cos (* 2 (* u2 (PI)))) (sqrt -1/18)) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))
(* (* (cos (* 2 (* u2 (PI)))) (sqrt -1/18)) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))
(* (* (cos (* 2 (* u2 (PI)))) (sqrt -1/18)) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))
(* (* (cos (* 2 (* u2 (PI)))) (sqrt -1/18)) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))
(* (sqrt (log u1)) (sqrt -1/18))
(+ (* -2 (* (* (pow u2 2) (* (pow (PI) 2) (sqrt -1/18))) (sqrt (log u1)))) (* (sqrt (log u1)) (sqrt -1/18)))
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(+ 1/2 (* 1/6 (* (sqrt (log u1)) (sqrt -2))))
(+ 1/2 (* 1/6 (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1)))))
(+ 1/2 (* 1/6 (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1)))))
(+ 1/2 (* 1/6 (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1)))))
(+ 1/2 (* 1/6 (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1)))))
(+ 1/2 (* 1/6 (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))))
(+ 1/2 (* 1/6 (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))))
(+ 1/2 (* 1/6 (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))))
(+ 1/2 (* 1/6 (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))))
(* 1/6 (* (sqrt (log u1)) (sqrt -2)))
(* 1/6 (* (sqrt (log u1)) (sqrt -2)))
(* 1/6 (* (sqrt (log u1)) (sqrt -2)))
(* 1/6 (* (sqrt (log u1)) (sqrt -2)))
(* 1/6 (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1))))
(* 1/6 (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1))))
(* 1/6 (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1))))
(* 1/6 (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1))))
(* 1/6 (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))))
(* 1/6 (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))))
(* 1/6 (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))))
(* 1/6 (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))))
(* (sqrt (log u1)) (sqrt -2))
(* (sqrt (log u1)) (sqrt -2))
(* (sqrt (log u1)) (sqrt -2))
(* (sqrt (log u1)) (sqrt -2))
(* (sqrt (log (/ 1 u1))) (sqrt 2))
(* (sqrt (log (/ 1 u1))) (sqrt 2))
(* (sqrt (log (/ 1 u1))) (sqrt 2))
(* (sqrt (log (/ 1 u1))) (sqrt 2))
(* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))
(* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))
(* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))
(* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))
(pow (* -2 (log u1)) 1/8)
(pow (* -2 (log u1)) 1/8)
(pow (* -2 (log u1)) 1/8)
(pow (* -2 (log u1)) 1/8)
(pow (* 2 (log (/ 1 u1))) 1/8)
(pow (* 2 (log (/ 1 u1))) 1/8)
(pow (* 2 (log (/ 1 u1))) 1/8)
(pow (* 2 (log (/ 1 u1))) 1/8)
(pow (* -2 (+ (log -1) (* -1 (log (/ -1 u1))))) 1/8)
(pow (* -2 (+ (log -1) (* -1 (log (/ -1 u1))))) 1/8)
(pow (* -2 (+ (log -1) (* -1 (log (/ -1 u1))))) 1/8)
(pow (* -2 (+ (log -1) (* -1 (log (/ -1 u1))))) 1/8)
(/ (- (* -1/18 (log u1)) 1/4) (- (* 1/6 (* (sqrt (log u1)) (sqrt -2))) 1/2))
(/ (- (* -1/18 (log u1)) 1/4) (- (* 1/6 (* (sqrt (log u1)) (sqrt -2))) 1/2))
(/ (- (* -1/18 (log u1)) 1/4) (- (* 1/6 (* (sqrt (log u1)) (sqrt -2))) 1/2))
(/ (- (* -1/18 (log u1)) 1/4) (- (* 1/6 (* (sqrt (log u1)) (sqrt -2))) 1/2))
(/ (- (* 1/18 (log (/ 1 u1))) 1/4) (- (* 1/6 (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1)))) 1/2))
(/ (- (* 1/18 (log (/ 1 u1))) 1/4) (- (* 1/6 (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1)))) 1/2))
(/ (- (* 1/18 (log (/ 1 u1))) 1/4) (- (* 1/6 (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1)))) 1/2))
(/ (- (* 1/18 (log (/ 1 u1))) 1/4) (- (* 1/6 (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1)))) 1/2))
(/ (- (* -1/18 (+ (log -1) (* -1 (log (/ -1 u1))))) 1/4) (- (* 1/6 (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))) 1/2))
(/ (- (* -1/18 (+ (log -1) (* -1 (log (/ -1 u1))))) 1/4) (- (* 1/6 (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))) 1/2))
(/ (- (* -1/18 (+ (log -1) (* -1 (log (/ -1 u1))))) 1/4) (- (* 1/6 (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))) 1/2))
(/ (- (* -1/18 (+ (log -1) (* -1 (log (/ -1 u1))))) 1/4) (- (* 1/6 (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))) 1/2))
(- (* -1/18 (log u1)) 1/4)
(- (* -1/18 (log u1)) 1/4)
(- (* -1/18 (log u1)) 1/4)
(- (* -1/18 (log u1)) 1/4)
(- (* 1/18 (log (/ 1 u1))) 1/4)
(- (* 1/18 (log (/ 1 u1))) 1/4)
(- (* 1/18 (log (/ 1 u1))) 1/4)
(- (* 1/18 (log (/ 1 u1))) 1/4)
(- (* -1/18 (+ (log -1) (* -1 (log (/ -1 u1))))) 1/4)
(- (* -1/18 (+ (log -1) (* -1 (log (/ -1 u1))))) 1/4)
(- (* -1/18 (+ (log -1) (* -1 (log (/ -1 u1))))) 1/4)
(- (* -1/18 (+ (log -1) (* -1 (log (/ -1 u1))))) 1/4)
(* -1/18 (log u1))
(* -1/18 (log u1))
(* -1/18 (log u1))
(* -1/18 (log u1))
(* 1/18 (log (/ 1 u1)))
(* 1/18 (log (/ 1 u1)))
(* 1/18 (log (/ 1 u1)))
(* 1/18 (log (/ 1 u1)))
(* -1/18 (+ (log -1) (* -1 (log (/ -1 u1)))))
(* -1/18 (+ (log -1) (* -1 (log (/ -1 u1)))))
(* -1/18 (+ (log -1) (* -1 (log (/ -1 u1)))))
(* -1/18 (+ (log -1) (* -1 (log (/ -1 u1)))))
(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))))
(* u2 (PI))
(* u2 (PI))
(* u2 (PI))
(* u2 (PI))
(* u2 (PI))
(* u2 (PI))
(* u2 (PI))
(* u2 (PI))
(* u2 (PI))
(* u2 (PI))
(* u2 (PI))
(* u2 (PI))
(* (sqrt (log u1)) (sqrt -1))
(* (sqrt (log u1)) (sqrt -1))
(* (sqrt (log u1)) (sqrt -1))
(* (sqrt (log u1)) (sqrt -1))
(* (sqrt (log (/ 1 u1))) (pow (sqrt -1) 2))
(* (sqrt (log (/ 1 u1))) (pow (sqrt -1) 2))
(* (sqrt (log (/ 1 u1))) (pow (sqrt -1) 2))
(* (sqrt (log (/ 1 u1))) (pow (sqrt -1) 2))
(* (sqrt -1) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))
(* (sqrt -1) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))
(* (sqrt -1) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))
(* (sqrt -1) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))
(* 1/6 (* (sqrt (log u1)) (sqrt -2)))
(* 1/6 (* (sqrt (log u1)) (sqrt -2)))
(* 1/6 (* (sqrt (log u1)) (sqrt -2)))
(* 1/6 (* (sqrt (log u1)) (sqrt -2)))
(* 1/6 (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1))))
(* 1/6 (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1))))
(* 1/6 (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1))))
(* 1/6 (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1))))
(* 1/6 (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))))
(* 1/6 (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))))
(* 1/6 (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))))
(* 1/6 (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))))
(- (* 1/6 (* (sqrt (log u1)) (sqrt -2))) 1/2)
(- (* 1/6 (* (sqrt (log u1)) (sqrt -2))) 1/2)
(- (* 1/6 (* (sqrt (log u1)) (sqrt -2))) 1/2)
(- (* 1/6 (* (sqrt (log u1)) (sqrt -2))) 1/2)
(- (* 1/6 (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1)))) 1/2)
(- (* 1/6 (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1)))) 1/2)
(- (* 1/6 (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1)))) 1/2)
(- (* 1/6 (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1)))) 1/2)
(- (* 1/6 (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))) 1/2)
(- (* 1/6 (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))) 1/2)
(- (* 1/6 (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))) 1/2)
(- (* 1/6 (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))) 1/2)
Outputs
(+ 1/2 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -1/18)) (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 -1/18 binary64)) (sqrt.f64 (log.f64 u1)))))
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(+.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal -1/18 binary64)) (sqrt.f64 (log.f64 u1))))
(+ 1/2 (+ (* -2 (* (* (pow u2 2) (* (pow (PI) 2) (sqrt -1/18))) (sqrt (log u1)))) (* (sqrt (log u1)) (sqrt -1/18))))
(+.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal -2 binary64) (*.f64 (PI.f64) (PI.f64))) (*.f64 u2 u2))) (*.f64 (sqrt.f64 #s(literal -1/18 binary64)) (sqrt.f64 (log.f64 u1)))))
(+ 1/2 (+ (* (sqrt (log u1)) (sqrt -1/18)) (* (pow u2 2) (+ (* -2 (* (* (pow (PI) 2) (sqrt -1/18)) (sqrt (log u1)))) (* 2/3 (* (* (pow u2 2) (* (pow (PI) 4) (sqrt -1/18))) (sqrt (log u1))))))))
(+.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (log.f64 u1)) (*.f64 (sqrt.f64 #s(literal -1/18 binary64)) (+.f64 (*.f64 (*.f64 u2 u2) (*.f64 (*.f64 #s(literal 2/3 binary64) (pow.f64 (PI.f64) #s(literal 4 binary64))) (*.f64 u2 u2))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal -2 binary64) (*.f64 (PI.f64) (PI.f64))) (*.f64 u2 u2)))))))
(+ 1/2 (+ (* (sqrt (log u1)) (sqrt -1/18)) (* (pow u2 2) (+ (* -2 (* (* (pow (PI) 2) (sqrt -1/18)) (sqrt (log u1)))) (* (pow u2 2) (+ (* -4/45 (* (* (pow u2 2) (* (pow (PI) 6) (sqrt -1/18))) (sqrt (log u1)))) (* 2/3 (* (* (pow (PI) 4) (sqrt -1/18)) (sqrt (log u1))))))))))
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(+ 1/2 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -1/18)) (sqrt (log u1))))
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(+ 1/2 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -1/18)) (sqrt (log u1))))
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(+ 1/2 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -1/18)) (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 -1/18 binary64)) (sqrt.f64 (log.f64 u1)))))
(+ 1/2 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -1/18)) (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 -1/18 binary64)) (sqrt.f64 (log.f64 u1)))))
(+ 1/2 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -1/18)) (sqrt (log u1))))
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(+ 1/2 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -1/18)) (sqrt (log u1))))
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(+ 1/2 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -1/18)) (sqrt (log u1))))
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(+ 1/2 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -1/18)) (sqrt (log u1))))
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(* (* (cos (* 2 (* u2 (PI)))) (sqrt -1/18)) (sqrt (log u1)))
(*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 u2 (PI.f64)))) (*.f64 (sqrt.f64 #s(literal -1/18 binary64)) (sqrt.f64 (log.f64 u1))))
(* (* (cos (* 2 (* u2 (PI)))) (sqrt -1/18)) (sqrt (log u1)))
(*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 u2 (PI.f64)))) (*.f64 (sqrt.f64 #s(literal -1/18 binary64)) (sqrt.f64 (log.f64 u1))))
(* (* (cos (* 2 (* u2 (PI)))) (sqrt -1/18)) (sqrt (log u1)))
(*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 u2 (PI.f64)))) (*.f64 (sqrt.f64 #s(literal -1/18 binary64)) (sqrt.f64 (log.f64 u1))))
(* (* (cos (* 2 (* u2 (PI)))) (sqrt -1/18)) (sqrt (log u1)))
(*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 u2 (PI.f64)))) (*.f64 (sqrt.f64 #s(literal -1/18 binary64)) (sqrt.f64 (log.f64 u1))))
(* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (sqrt -1/18))) (sqrt (log (/ 1 u1))))
(*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 u2 (PI.f64)))) (*.f64 (*.f64 (sqrt.f64 #s(literal -1/18 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (log.f64 (/.f64 #s(literal 1 binary64) u1)))))
(* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (sqrt -1/18))) (sqrt (log (/ 1 u1))))
(*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 u2 (PI.f64)))) (*.f64 (*.f64 (sqrt.f64 #s(literal -1/18 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (log.f64 (/.f64 #s(literal 1 binary64) u1)))))
(* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (sqrt -1/18))) (sqrt (log (/ 1 u1))))
(*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 u2 (PI.f64)))) (*.f64 (*.f64 (sqrt.f64 #s(literal -1/18 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (log.f64 (/.f64 #s(literal 1 binary64) u1)))))
(* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (sqrt -1/18))) (sqrt (log (/ 1 u1))))
(*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 u2 (PI.f64)))) (*.f64 (*.f64 (sqrt.f64 #s(literal -1/18 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (log.f64 (/.f64 #s(literal 1 binary64) u1)))))
(* (* (cos (* 2 (* u2 (PI)))) (sqrt -1/18)) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))
(*.f64 (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 u2 (PI.f64)))) (sqrt.f64 #s(literal -1/18 binary64))) (sqrt.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) u1)))))
(* (* (cos (* 2 (* u2 (PI)))) (sqrt -1/18)) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))
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(* 1/18 (log (/ 1 u1)))
(*.f64 #s(literal -1/18 binary64) (log.f64 u1))
(* 1/18 (log (/ 1 u1)))
(*.f64 #s(literal -1/18 binary64) (log.f64 u1))
(* -1/18 (+ (log -1) (* -1 (log (/ -1 u1)))))
(*.f64 #s(literal -1/18 binary64) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) u1))))
(* -1/18 (+ (log -1) (* -1 (log (/ -1 u1)))))
(*.f64 #s(literal -1/18 binary64) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) u1))))
(* -1/18 (+ (log -1) (* -1 (log (/ -1 u1)))))
(*.f64 #s(literal -1/18 binary64) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) u1))))
(* -1/18 (+ (log -1) (* -1 (log (/ -1 u1)))))
(*.f64 #s(literal -1/18 binary64) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) u1))))
(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)))
(* 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 (log.f64 u1)) (sqrt.f64 #s(literal -1 binary64)))
(* (sqrt (log u1)) (sqrt -1))
(*.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 #s(literal -1 binary64)))
(* (sqrt (log u1)) (sqrt -1))
(*.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 #s(literal -1 binary64)))
(* (sqrt (log u1)) (sqrt -1))
(*.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 #s(literal -1 binary64)))
(* (sqrt (log (/ 1 u1))) (pow (sqrt -1) 2))
(-.f64 #s(literal 0 binary64) (sqrt.f64 (log.f64 (/.f64 #s(literal 1 binary64) u1))))
(* (sqrt (log (/ 1 u1))) (pow (sqrt -1) 2))
(-.f64 #s(literal 0 binary64) (sqrt.f64 (log.f64 (/.f64 #s(literal 1 binary64) u1))))
(* (sqrt (log (/ 1 u1))) (pow (sqrt -1) 2))
(-.f64 #s(literal 0 binary64) (sqrt.f64 (log.f64 (/.f64 #s(literal 1 binary64) u1))))
(* (sqrt (log (/ 1 u1))) (pow (sqrt -1) 2))
(-.f64 #s(literal 0 binary64) (sqrt.f64 (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)))))
(* (sqrt -1) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) u1)))))
(* 1/6 (* (sqrt (log u1)) (sqrt -2)))
(*.f64 (sqrt.f64 (log.f64 u1)) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -2 binary64))))
(* 1/6 (* (sqrt (log u1)) (sqrt -2)))
(*.f64 (sqrt.f64 (log.f64 u1)) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -2 binary64))))
(* 1/6 (* (sqrt (log u1)) (sqrt -2)))
(*.f64 (sqrt.f64 (log.f64 u1)) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -2 binary64))))
(* 1/6 (* (sqrt (log u1)) (sqrt -2)))
(*.f64 (sqrt.f64 (log.f64 u1)) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -2 binary64))))
(* 1/6 (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1))))
(*.f64 (sqrt.f64 (log.f64 (/.f64 #s(literal 1 binary64) u1))) (*.f64 (sqrt.f64 #s(literal -2 binary64)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 1/6 binary64))))
(* 1/6 (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1))))
(*.f64 (sqrt.f64 (log.f64 (/.f64 #s(literal 1 binary64) u1))) (*.f64 (sqrt.f64 #s(literal -2 binary64)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 1/6 binary64))))
(* 1/6 (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1))))
(*.f64 (sqrt.f64 (log.f64 (/.f64 #s(literal 1 binary64) u1))) (*.f64 (sqrt.f64 #s(literal -2 binary64)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 1/6 binary64))))
(* 1/6 (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1))))
(*.f64 (sqrt.f64 (log.f64 (/.f64 #s(literal 1 binary64) u1))) (*.f64 (sqrt.f64 #s(literal -2 binary64)) (*.f64 (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))))
(- (* 1/6 (* (sqrt (log u1)) (sqrt -2))) 1/2)
(+.f64 (*.f64 (sqrt.f64 (log.f64 u1)) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -2 binary64)))) #s(literal -1/2 binary64))
(- (* 1/6 (* (sqrt (log u1)) (sqrt -2))) 1/2)
(+.f64 (*.f64 (sqrt.f64 (log.f64 u1)) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -2 binary64)))) #s(literal -1/2 binary64))
(- (* 1/6 (* (sqrt (log u1)) (sqrt -2))) 1/2)
(+.f64 (*.f64 (sqrt.f64 (log.f64 u1)) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -2 binary64)))) #s(literal -1/2 binary64))
(- (* 1/6 (* (sqrt (log u1)) (sqrt -2))) 1/2)
(+.f64 (*.f64 (sqrt.f64 (log.f64 u1)) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -2 binary64)))) #s(literal -1/2 binary64))
(- (* 1/6 (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1)))) 1/2)
(+.f64 (*.f64 (sqrt.f64 (log.f64 (/.f64 #s(literal 1 binary64) u1))) (*.f64 (sqrt.f64 #s(literal -2 binary64)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 1/6 binary64)))) #s(literal -1/2 binary64))
(- (* 1/6 (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1)))) 1/2)
(+.f64 (*.f64 (sqrt.f64 (log.f64 (/.f64 #s(literal 1 binary64) u1))) (*.f64 (sqrt.f64 #s(literal -2 binary64)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 1/6 binary64)))) #s(literal -1/2 binary64))
(- (* 1/6 (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1)))) 1/2)
(+.f64 (*.f64 (sqrt.f64 (log.f64 (/.f64 #s(literal 1 binary64) u1))) (*.f64 (sqrt.f64 #s(literal -2 binary64)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 1/6 binary64)))) #s(literal -1/2 binary64))
(- (* 1/6 (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1)))) 1/2)
(+.f64 (*.f64 (sqrt.f64 (log.f64 (/.f64 #s(literal 1 binary64) u1))) (*.f64 (sqrt.f64 #s(literal -2 binary64)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 1/6 binary64)))) #s(literal -1/2 binary64))
(- (* 1/6 (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))) 1/2)
(+.f64 (*.f64 (sqrt.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) u1)))) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -2 binary64)))) #s(literal -1/2 binary64))
(- (* 1/6 (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))) 1/2)
(+.f64 (*.f64 (sqrt.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) u1)))) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -2 binary64)))) #s(literal -1/2 binary64))
(- (* 1/6 (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))) 1/2)
(+.f64 (*.f64 (sqrt.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) u1)))) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -2 binary64)))) #s(literal -1/2 binary64))
(- (* 1/6 (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))) 1/2)
(+.f64 (*.f64 (sqrt.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) u1)))) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -2 binary64)))) #s(literal -1/2 binary64))

eval288.0ms (2.5%)

Compiler

Compiled 42790 to 2896 computations (93.2% saved)

prune167.0ms (1.4%)

Pruning

15 alts after pruning (12 fresh and 3 done)

PrunedKeptTotal
New1679101689
Fresh527
Picked415
Done022
Total1688151703
Accuracy
100.0%
Counts
1703 → 15
Alt Table
Click to see full alt table
StatusAccuracyProgram
98.3%
(/.f64 #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))))))
98.4%
(-.f64 (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -1/18 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))
98.5%
(+.f64 (pow.f64 (*.f64 (pow.f64 (log.f64 u1) #s(literal 2 binary64)) #s(literal 1/324 binary64)) #s(literal 1/4 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))
98.3%
(+.f64 (*.f64 (sqrt.f64 (log.f64 (/.f64 #s(literal 1 binary64) u1))) (sqrt.f64 #s(literal 1/18 binary64))) #s(literal 1/2 binary64))
99.6%
(+.f64 (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))) (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -1/18 binary64)))) #s(literal 1/2 binary64))
96.9%
(+.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 (pow.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)) #s(literal 1/16 binary64)) #s(literal 8 binary64))) #s(literal 1/2 binary64))
✓98.1%
(+.f64 (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)))) #s(literal 1/2 binary64))
97.7%
(+.f64 (*.f64 #s(literal 1/6 binary64) (exp.f64 (*.f64 (log.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal 1/2 binary64)))) #s(literal 1/2 binary64))
98.2%
(+.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))
99.4%
(+.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (log.f64 (*.f64 (log.f64 u1) #s(literal -1/18 binary64)))) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))))
99.1%
(+.f64 #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)))) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))))
✓99.3%
(+.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)))))
✓98.2%
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (-.f64 #s(literal 0 binary64) (log.f64 u1))))))
Compiler

Compiled 1632 to 446 computations (72.7% saved)

regimes259.0ms (2.2%)

Counts
57 → 1
Calls
Call 1
Inputs
(-.f64 (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -1/18 binary64))) #s(literal -1/2 binary64))
(+.f64 (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)))) #s(literal 1/2 binary64))
(+.f64 (pow.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal 1/2 binary64)) #s(literal 1/2 binary64))
(/.f64 #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 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)))))))
(+.f64 #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 (log.f64 (/.f64 #s(literal 1 binary64) u1))) (sqrt.f64 #s(literal 1/18 binary64))) #s(literal 1/2 binary64))
(+.f64 (pow.f64 (*.f64 (pow.f64 (log.f64 u1) #s(literal 2 binary64)) #s(literal 1/324 binary64)) #s(literal 1/4 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 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (-.f64 #s(literal 0 binary64) (log.f64 u1))))))
(+.f64 (*.f64 #s(literal 1/6 binary64) (exp.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)))))) #s(literal 1/2 binary64))
(+.f64 (*.f64 #s(literal 1/6 binary64) (exp.f64 (*.f64 (log.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal 1/2 binary64)))) #s(literal 1/2 binary64))
(+.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 (pow.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)) #s(literal 1/16 binary64)) #s(literal 8 binary64))) #s(literal 1/2 binary64))
(+.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 (pow.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)) #s(literal 1/8 binary64)) #s(literal 4 binary64))) #s(literal 1/2 binary64))
(+.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 (pow.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)) #s(literal 1/4 binary64)) #s(literal 2 binary64))) #s(literal 1/2 binary64))
(+.f64 (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))) (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -1/18 binary64)))) #s(literal 1/2 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 (*.f64 (log.f64 u1) #s(literal -1/18 binary64)) #s(literal 1/4 binary64)) (-.f64 (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)))) #s(literal 1/2 binary64)))
(+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 (*.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal 1/4 binary64))) #s(literal 1 binary64)))
(+.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal 1/2 binary64)) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))))
(+.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 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))))) (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/36 binary64) (*.f64 (log.f64 u1) #s(literal -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))
(+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 (exp.f64 (log.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)))) #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(+.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/4 binary64)) (*.f64 (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/4 binary64)) #s(literal 1/6 binary64))))
(+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 #s(literal 1/6 binary64) (exp.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)))))) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))))
(+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (log.f64 u1))) (sqrt.f64 #s(literal 2 binary64)))) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))))
(+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/4 binary64)) #s(literal 2 binary64))) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))))
(+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 (*.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal 1/4 binary64))) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))))
(*.f64 (+.f64 (*.f64 (log.f64 u1) #s(literal -1/18 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 1/2 binary64) (*.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (log.f64 (*.f64 (log.f64 u1) #s(literal -1/18 binary64)))) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))))
(+.f64 #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)))) (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 (exp.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) (exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)))))) #s(literal 1 binary64))))
(/.f64 (-.f64 (pow.f64 (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)))) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (-.f64 (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)))) #s(literal 1/2 binary64)))
(*.f64 (-.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)))) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)))))))
(+.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 (-.f64 (*.f64 (*.f64 #s(literal 1/36 binary64) (*.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))))))) #s(literal 1/4 binary64)) (-.f64 (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))))) #s(literal 1/2 binary64)))
(*.f64 (+.f64 (*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 u2 (PI.f64)))) #s(literal 2 binary64)) (*.f64 (log.f64 u1) #s(literal -1/18 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 (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)))))) (/.f64 (pow.f64 (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)))) #s(literal 2 binary64)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)))))))
(/.f64 (+.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)))) #s(literal 3 binary64))) (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)))) (-.f64 (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)))) #s(literal 1/2 binary64)))))
(*.f64 (+.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)))) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)))) (-.f64 (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)))) #s(literal 1/2 binary64))))))
(/.f64 (+.f64 #s(literal 1/4 binary64) (*.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 (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))))) #s(literal -1/2 binary64)))
(*.f64 (+.f64 (pow.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))))) #s(literal 2 binary64)) #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 1/2 binary64) (*.f64 (pow.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))))) #s(literal 1/2 binary64)) (pow.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))))) #s(literal 1/2 binary64))))
(*.f64 (+.f64 (pow.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))))) #s(literal 2 binary64)) #s(literal -1/4 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 (pow.f64 (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/4 binary64)) #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 #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 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 (/.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))))
(/.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 (*.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)))))
(/.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 (-.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 #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))))
Outputs
(+.f64 (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))) (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -1/18 binary64)))) #s(literal 1/2 binary64))
Calls

10 calls:

66.0ms
(*.f64 #s(literal -2 binary64) (log.f64 u1))
39.0ms
(log.f64 u1)
31.0ms
(*.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) u2)
21.0ms
(pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/2 binary64))
20.0ms
u2
Results
AccuracySegmentsBranch
99.6%1u1
99.6%1u2
99.6%1(+.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/2 binary64))) (cos.f64 (*.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) u2))) #s(literal 1/2 binary64))
99.6%1(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/2 binary64))) (cos.f64 (*.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) u2)))
99.6%1(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/2 binary64)))
99.6%1(pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/2 binary64))
99.6%1(*.f64 #s(literal -2 binary64) (log.f64 u1))
99.6%1(log.f64 u1)
99.6%1(cos.f64 (*.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) u2))
99.6%1(*.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) u2)
Compiler

Compiled 91 to 78 computations (14.3% saved)

regimes48.0ms (0.4%)

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 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)))) #s(literal 1/2 binary64))
(+.f64 (pow.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal 1/2 binary64)) #s(literal 1/2 binary64))
(/.f64 #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 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)))))))
(+.f64 #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 (log.f64 (/.f64 #s(literal 1 binary64) u1))) (sqrt.f64 #s(literal 1/18 binary64))) #s(literal 1/2 binary64))
(+.f64 (pow.f64 (*.f64 (pow.f64 (log.f64 u1) #s(literal 2 binary64)) #s(literal 1/324 binary64)) #s(literal 1/4 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 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (-.f64 #s(literal 0 binary64) (log.f64 u1))))))
(+.f64 (*.f64 #s(literal 1/6 binary64) (exp.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)))))) #s(literal 1/2 binary64))
(+.f64 (*.f64 #s(literal 1/6 binary64) (exp.f64 (*.f64 (log.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal 1/2 binary64)))) #s(literal 1/2 binary64))
(+.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 (pow.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)) #s(literal 1/16 binary64)) #s(literal 8 binary64))) #s(literal 1/2 binary64))
(+.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 (pow.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)) #s(literal 1/8 binary64)) #s(literal 4 binary64))) #s(literal 1/2 binary64))
(+.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 (pow.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)) #s(literal 1/4 binary64)) #s(literal 2 binary64))) #s(literal 1/2 binary64))
Outputs
(+.f64 (pow.f64 (*.f64 (pow.f64 (log.f64 u1) #s(literal 2 binary64)) #s(literal 1/324 binary64)) #s(literal 1/4 binary64)) #s(literal 1/2 binary64))
Calls

4 calls:

32.0ms
u2
5.0ms
(*.f64 #s(literal -2 binary64) (log.f64 u1))
5.0ms
u1
5.0ms
(log.f64 u1)
Results
AccuracySegmentsBranch
98.5%1u1
98.5%1u2
98.5%1(*.f64 #s(literal -2 binary64) (log.f64 u1))
98.5%1(log.f64 u1)
Compiler

Compiled 16 to 12 computations (25% saved)

regimes15.0ms (0.1%)

Accuracy

Total -63.0b remaining (-6219.9%)

Threshold costs -63b (-6219.9%)

Counts
8 → 1
Calls
Call 1
Inputs
(-.f64 (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -1/18 binary64))) #s(literal -1/2 binary64))
(+.f64 (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)))) #s(literal 1/2 binary64))
(+.f64 (pow.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal 1/2 binary64)) #s(literal 1/2 binary64))
(/.f64 #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 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)))))))
(+.f64 #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 (log.f64 (/.f64 #s(literal 1 binary64) u1))) (sqrt.f64 #s(literal 1/18 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:

5.0ms
u1
3.0ms
(*.f64 #s(literal -2 binary64) (log.f64 u1))
3.0ms
(log.f64 u1)
3.0ms
u2
Results
AccuracySegmentsBranch
98.4%1u1
98.4%1(log.f64 u1)
98.4%1u2
98.4%1(*.f64 #s(literal -2 binary64) (log.f64 u1))
Compiler

Compiled 16 to 12 computations (25% saved)

simplify8.0ms (0.1%)

Algorithm
1×egg-herbie
Rules
12×*-commutative_binary64
8×+-commutative_binary64
4×sub-neg_binary64
2×neg-sub0_binary64
2×neg-mul-1_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02231
13131
23631
33831
43931
Stop Event
1×saturated
Calls
Call 1
Inputs
(+.f64 (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))) (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -1/18 binary64)))) #s(literal 1/2 binary64))
(+.f64 (pow.f64 (*.f64 (pow.f64 (log.f64 u1) #s(literal 2 binary64)) #s(literal 1/324 binary64)) #s(literal 1/4 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 (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))) (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -1/18 binary64)))) #s(literal 1/2 binary64))
(+.f64 (pow.f64 (*.f64 (pow.f64 (log.f64 u1) #s(literal 2 binary64)) #s(literal 1/324 binary64)) #s(literal 1/4 binary64)) #s(literal 1/2 binary64))
(+.f64 #s(literal 1/2 binary64) (pow.f64 (*.f64 (pow.f64 (log.f64 u1) #s(literal 2 binary64)) #s(literal 1/324 binary64)) #s(literal 1/4 binary64)))
(-.f64 (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -1/18 binary64))) #s(literal -1/2 binary64))

soundness2.3s (19.8%)

Rules
6758×*-lowering-*.f32
6758×*-lowering-*.f64
5942×+-lowering-+.f64
5942×+-lowering-+.f32
5100×*-lowering-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
048265
1293256
01931256
045711856
1152610052
266529980
081949980
01915
13315
24915
35715
05715
01645
16944
240644
3402644
0844244
040153
1229130
21560130
08972130
039209
1238201
21852184
08860184
0811268
12101201
27181175
327391151
435331145
554141145
668481145
770031145
870991145
971691145
1072091145
1172251145
083661145
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×node limit
1×iter limit
1×saturated
1×iter limit
1×node limit
1×iter limit
1×iter limit
1×node limit
Compiler

Compiled 214 to 182 computations (15% saved)

preprocess35.0ms (0.3%)

Remove

(abs u2)

Compiler

Compiled 172 to 136 computations (20.9% saved)

end0.0ms (0%)

Profiling

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