normal distribution

Time bar (total: 10.5s)

analyze59.0ms (0.6%)

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

Compiled 36 to 26 computations (27.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 44.0ms
ival-add: 20.0ms (45.1% of total)
ival-pow: 7.0ms (15.8% of total)
ival-mult: 6.0ms (13.5% of total)
ival-<=: 3.0ms (6.8% of total)
ival-div: 2.0ms (4.5% of total)
ival-log: 2.0ms (4.5% of total)
ival-cos: 2.0ms (4.5% of total)
ival-pi: 1.0ms (2.3% of total)
ival-and: 1.0ms (2.3% of total)
const: 1.0ms (2.3% of total)
backward-pass: 0.0ms (0% of total)

sample2.1s (19.8%)

Results
1.6s8256×0valid
Precisions
Click to see histograms. Total time spent on operations: 1.3s
ival-mult: 402.0ms (31.3% of total)
ival-pow: 215.0ms (16.7% of total)
ival-log: 161.0ms (12.5% of total)
ival-<=: 143.0ms (11.1% of total)
ival-cos: 131.0ms (10.2% of total)
ival-div: 88.0ms (6.8% of total)
ival-add: 49.0ms (3.8% of total)
ival-pi: 36.0ms (2.8% of total)
const: 29.0ms (2.3% of total)
ival-and: 27.0ms (2.1% of total)
backward-pass: 4.0ms (0.3% of total)
Bogosity

preprocess124.0ms (1.2%)

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)

explain173.0ms (1.6%)

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
98.0ms512×0valid
Compiler

Compiled 193 to 56 computations (71% saved)

Precisions
Click to see histograms. Total time spent on operations: 61.0ms
ival-mult: 23.0ms (37.6% of total)
ival-pow: 13.0ms (21.3% of total)
ival-log: 7.0ms (11.4% of total)
ival-div: 6.0ms (9.8% of total)
ival-cos: 5.0ms (8.2% of total)
ival-add: 3.0ms (4.9% of total)
ival-pi: 2.0ms (3.3% of total)
const: 2.0ms (3.3% 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
▶99.5%
(+.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

localize68.0ms (0.6%)

Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
✓accuracy99.9%
(+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)))) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))))
✓accuracy99.8%
(sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)))
✓accuracy99.6%
(*.f64 (PI.f64) u2)
✓accuracy99.4%
(*.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))))
Results
47.0ms256×0valid
Compiler

Compiled 72 to 17 computations (76.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 29.0ms
ival-mult: 9.0ms (31% of total)
ival-sqrt: 7.0ms (24.1% of total)
ival-log: 4.0ms (13.8% of total)
...c/correct-round.rkt:119:19: 4.0ms (13.8% of total)
ival-cos: 2.0ms (6.9% of total)
ival-pi: 1.0ms (3.4% of total)
ival-add: 1.0ms (3.4% of total)
const: 1.0ms (3.4% of total)
backward-pass: 0.0ms (0% of total)

series79.0ms (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
31.0ms
u1
@0
(+ 1/2 (* (* 1/6 (sqrt (* -2 (log u1)))) (cos (* 2 (* (PI) u2)))))
22.0ms
u1
@-inf
(+ 1/2 (* (* 1/6 (sqrt (* -2 (log u1)))) (cos (* 2 (* (PI) u2)))))
12.0ms
u2
@inf
(+ 1/2 (* (* 1/6 (sqrt (* -2 (log u1)))) (cos (* 2 (* (PI) u2)))))
7.0ms
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)))))

rewrite512.0ms (4.9%)

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

Useful iterations: 1 (0.0ms)

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

simplify304.0ms (2.9%)

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

Useful iterations: 4 (0.0ms)

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

eval20.0ms (0.2%)

Compiler

Compiled 6246 to 544 computations (91.3% saved)

prune39.0ms (0.4%)

Pruning

18 alts after pruning (18 fresh and 0 done)

PrunedKeptTotal
New19018208
Fresh000
Picked101
Done000
Total19118209
Accuracy
100.0%
Counts
209 → 18
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.1%
(/.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))) (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal -1/6 binary64))))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))) (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal -1/6 binary64)))) (pow.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))))) #s(literal 2 binary64)))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))) (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal -1/6 binary64)))) (+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))) (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal -1/6 binary64))))))
99.3%
(/.f64 (-.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))))) #s(literal 2 binary64))) (+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))) (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal -1/6 binary64)))))
▶99.2%
(/.f64 (-.f64 #s(literal 1/16 binary64) (pow.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))))) #s(literal 4 binary64))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))) (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal -1/6 binary64)))) (+.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))))) #s(literal 2 binary64)))))
99.0%
(/.f64 (-.f64 #s(literal 1/64 binary64) (pow.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))))) #s(literal 6 binary64))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))) (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal -1/6 binary64)))) (+.f64 (+.f64 #s(literal 1/16 binary64) (pow.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))))) #s(literal 4 binary64))) (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))) (*.f64 #s(literal 1/12 binary64) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))))) #s(literal 2 binary64)))))
98.8%
(/.f64 (+.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))))) #s(literal 3 binary64))) (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))) (-.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))) #s(literal 1/36 binary64)) #s(literal 1/12 binary64)))))
98.7%
(/.f64 (*.f64 (+.f64 #s(literal 1/512 binary64) (pow.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))))) #s(literal 9 binary64))) (/.f64 #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 1/64 binary64) (-.f64 (pow.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))))) #s(literal 6 binary64)) (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))) (*.f64 #s(literal 1/12 binary64) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))))) #s(literal 3 binary64)))))
▶99.3%
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))))) #s(literal -1/2 binary64)) (+.f64 (pow.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))))) #s(literal 2 binary64)) #s(literal -1/4 binary64))))
99.4%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))))))))
99.2%
(-.f64 (/.f64 (pow.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))))) #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))))) #s(literal -1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))))) #s(literal -1/2 binary64))))
99.5%
(+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))))) #s(literal 1/2 binary64))
99.1%
(+.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/4 binary64)) (*.f64 (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/4 binary64)) (*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))))))
▶99.2%
(+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/4 binary64)) #s(literal 2 binary64))) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))))
▶99.5%
(+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 (*.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal 1/4 binary64))) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))))
98.9%
(+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 #s(literal 1/6 binary64) (exp.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)))))) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))))
▶0.0%
(+.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (log.f64 u1)) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -2 binary64)))))
99.0%
(*.f64 (/.f64 (-.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))))) #s(literal 2 binary64))) (-.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))))) #s(literal 3 binary64)))) (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))) (+.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))) #s(literal 1/36 binary64)) #s(literal 1/12 binary64)))))
99.2%
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))) (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal -1/6 binary64))))) (-.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))))) #s(literal 2 binary64))))
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 #s(literal 1/6 binary64) (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))))) #s(literal 3 binary64))))
Compiler

Compiled 1594 to 836 computations (47.6% saved)

simplify296.0ms (2.8%)

Algorithm
1×egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
✓cost-diff6080
(pow.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))))) #s(literal 2 binary64))
✓cost-diff6080
(+.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))))) #s(literal 2 binary64)))
✓cost-diff6080
(*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))) (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal -1/6 binary64)))) (+.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))))) #s(literal 2 binary64))))
✓cost-diff6080
(/.f64 (-.f64 #s(literal 1/16 binary64) (pow.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))))) #s(literal 4 binary64))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))) (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal -1/6 binary64)))) (+.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))))) #s(literal 2 binary64)))))
✓cost-diff6080
(pow.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))))) #s(literal 2 binary64))
✓cost-diff6080
(+.f64 (pow.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))))) #s(literal 2 binary64)) #s(literal -1/4 binary64))
✓cost-diff6080
(/.f64 (+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))))) #s(literal -1/2 binary64)) (+.f64 (pow.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))))) #s(literal 2 binary64)) #s(literal -1/4 binary64)))
✓cost-diff6208
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))))) #s(literal -1/2 binary64)) (+.f64 (pow.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))))) #s(literal 2 binary64)) #s(literal -1/4 binary64))))
✓cost-diff6528
(pow.f64 (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/4 binary64)) #s(literal 2 binary64))
✓cost-diff6528
(*.f64 #s(literal 1/6 binary64) (pow.f64 (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/4 binary64)) #s(literal 2 binary64)))
✓cost-diff6528
(*.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/4 binary64)) #s(literal 2 binary64))) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))))
✓cost-diff6528
(+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/4 binary64)) #s(literal 2 binary64))) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))))
✓cost-diff0
(log.f64 u1)
✓cost-diff0
(sqrt.f64 (log.f64 u1))
✓cost-diff0
(*.f64 (sqrt.f64 (log.f64 u1)) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -2 binary64))))
✓cost-diff0
(+.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (log.f64 u1)) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -2 binary64)))))
✓cost-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
5048×*-lowering-*.f32
5048×*-lowering-*.f64
2072×+-lowering-+.f64
2072×+-lowering-+.f32
1792×fma-lowering-fma.f32
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
050660
1111638
2266629
3914629
42198624
53605624
09023624
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 (pow (* -2 (log u1)) 1/4) 2)) (cos (* 2 (* (PI) u2)))))
1/2
(* (* 1/6 (pow (pow (* -2 (log u1)) 1/4) 2)) (cos (* 2 (* (PI) u2))))
(* 1/6 (pow (pow (* -2 (log u1)) 1/4) 2))
1/6
(pow (pow (* -2 (log u1)) 1/4) 2)
(pow (* -2 (log u1)) 1/4)
(* -2 (log u1))
-2
(log u1)
u1
1/4
2
(cos (* 2 (* (PI) u2)))
(* 2 (* (PI) u2))
(* (PI) u2)
(PI)
u2
(/ 1 (/ (+ (* 1/6 (* (sqrt (* -2 (log u1))) (cos (* 2 (* (PI) u2))))) -1/2) (+ (pow (* 1/6 (* (sqrt (* -2 (log u1))) (cos (* 2 (* (PI) u2))))) 2) -1/4)))
1
(/ (+ (* 1/6 (* (sqrt (* -2 (log u1))) (cos (* 2 (* (PI) u2))))) -1/2) (+ (pow (* 1/6 (* (sqrt (* -2 (log u1))) (cos (* 2 (* (PI) u2))))) 2) -1/4))
(+ (* 1/6 (* (sqrt (* -2 (log u1))) (cos (* 2 (* (PI) u2))))) -1/2)
(* 1/6 (* (sqrt (* -2 (log u1))) (cos (* 2 (* (PI) u2)))))
1/6
(* (sqrt (* -2 (log u1))) (cos (* 2 (* (PI) u2))))
(sqrt (* -2 (log u1)))
(* -2 (log u1))
-2
(log u1)
u1
(cos (* 2 (* (PI) u2)))
(* 2 (* (PI) u2))
2
(* (PI) u2)
(PI)
u2
-1/2
(+ (pow (* 1/6 (* (sqrt (* -2 (log u1))) (cos (* 2 (* (PI) u2))))) 2) -1/4)
(pow (* 1/6 (* (sqrt (* -2 (log u1))) (cos (* 2 (* (PI) u2))))) 2)
-1/4
(/ (- 1/16 (pow (* 1/6 (* (sqrt (* -2 (log u1))) (cos (* 2 (* (PI) u2))))) 4)) (* (+ 1/2 (* (cos (* 2 (* (PI) u2))) (* (sqrt (* -2 (log u1))) -1/6))) (+ 1/4 (pow (* 1/6 (* (sqrt (* -2 (log u1))) (cos (* 2 (* (PI) u2))))) 2))))
(- 1/16 (pow (* 1/6 (* (sqrt (* -2 (log u1))) (cos (* 2 (* (PI) u2))))) 4))
1/16
(pow (* 1/6 (* (sqrt (* -2 (log u1))) (cos (* 2 (* (PI) u2))))) 4)
(* 1/6 (* (sqrt (* -2 (log u1))) (cos (* 2 (* (PI) u2)))))
1/6
(* (sqrt (* -2 (log u1))) (cos (* 2 (* (PI) u2))))
(sqrt (* -2 (log u1)))
(* -2 (log u1))
-2
(log u1)
u1
(cos (* 2 (* (PI) u2)))
(* 2 (* (PI) u2))
2
(* (PI) u2)
(PI)
u2
4
(* (+ 1/2 (* (cos (* 2 (* (PI) u2))) (* (sqrt (* -2 (log u1))) -1/6))) (+ 1/4 (pow (* 1/6 (* (sqrt (* -2 (log u1))) (cos (* 2 (* (PI) u2))))) 2)))
(+ 1/2 (* (cos (* 2 (* (PI) u2))) (* (sqrt (* -2 (log u1))) -1/6)))
1/2
(* (cos (* 2 (* (PI) u2))) (* (sqrt (* -2 (log u1))) -1/6))
(* (sqrt (* -2 (log u1))) -1/6)
-1/6
(+ 1/4 (pow (* 1/6 (* (sqrt (* -2 (log u1))) (cos (* 2 (* (PI) u2))))) 2))
1/4
(pow (* 1/6 (* (sqrt (* -2 (log u1))) (cos (* 2 (* (PI) u2))))) 2)
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 (pow (* -2 (log u1)) 1/4) 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 (pow (* -2 (log u1)) 1/4) 2)) (cos (* 2 (* (PI) u2))))
(*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))))
(* 1/6 (pow (pow (* -2 (log u1)) 1/4) 2))
(*.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))))
1/6
#s(literal 1/6 binary64)
(pow (pow (* -2 (log u1)) 1/4) 2)
(sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)))
(pow (* -2 (log u1)) 1/4)
(pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/4 binary64))
(* -2 (log u1))
(*.f64 #s(literal -2 binary64) (log.f64 u1))
-2
#s(literal -2 binary64)
(log u1)
(log.f64 u1)
u1
1/4
#s(literal 1/4 binary64)
2
#s(literal 2 binary64)
(cos (* 2 (* (PI) u2)))
(cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))
(* 2 (* (PI) u2))
(*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))
(* (PI) u2)
(*.f64 (PI.f64) u2)
(PI)
(PI.f64)
u2
(/ 1 (/ (+ (* 1/6 (* (sqrt (* -2 (log u1))) (cos (* 2 (* (PI) u2))))) -1/2) (+ (pow (* 1/6 (* (sqrt (* -2 (log u1))) (cos (* 2 (* (PI) u2))))) 2) -1/4)))
(/.f64 (+.f64 (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))) (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))) (*.f64 #s(literal 1/36 binary64) (*.f64 #s(literal -2 binary64) (log.f64 u1))))) #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)))
1
#s(literal 1 binary64)
(/ (+ (* 1/6 (* (sqrt (* -2 (log u1))) (cos (* 2 (* (PI) u2))))) -1/2) (+ (pow (* 1/6 (* (sqrt (* -2 (log u1))) (cos (* 2 (* (PI) u2))))) 2) -1/4))
(/.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 (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))) (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))) (*.f64 #s(literal 1/36 binary64) (*.f64 #s(literal -2 binary64) (log.f64 u1))))) #s(literal -1/4 binary64)))
(+ (* 1/6 (* (sqrt (* -2 (log u1))) (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))
(* 1/6 (* (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
#s(literal 1/6 binary64)
(* (sqrt (* -2 (log u1))) (cos (* 2 (* (PI) u2))))
(*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))))
(sqrt (* -2 (log u1)))
(sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)))
(* -2 (log u1))
(*.f64 #s(literal -2 binary64) (log.f64 u1))
-2
#s(literal -2 binary64)
(log u1)
(log.f64 u1)
u1
(cos (* 2 (* (PI) u2)))
(cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))
(* 2 (* (PI) u2))
(*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))
2
#s(literal 2 binary64)
(* (PI) u2)
(*.f64 (PI.f64) u2)
(PI)
(PI.f64)
u2
-1/2
#s(literal -1/2 binary64)
(+ (pow (* 1/6 (* (sqrt (* -2 (log u1))) (cos (* 2 (* (PI) u2))))) 2) -1/4)
(+.f64 (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))) (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))) (*.f64 #s(literal 1/36 binary64) (*.f64 #s(literal -2 binary64) (log.f64 u1))))) #s(literal -1/4 binary64))
(pow (* 1/6 (* (sqrt (* -2 (log u1))) (cos (* 2 (* (PI) u2))))) 2)
(*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))) (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))) (*.f64 #s(literal 1/36 binary64) (*.f64 #s(literal -2 binary64) (log.f64 u1)))))
-1/4
#s(literal -1/4 binary64)
(/ (- 1/16 (pow (* 1/6 (* (sqrt (* -2 (log u1))) (cos (* 2 (* (PI) u2))))) 4)) (* (+ 1/2 (* (cos (* 2 (* (PI) u2))) (* (sqrt (* -2 (log u1))) -1/6))) (+ 1/4 (pow (* 1/6 (* (sqrt (* -2 (log u1))) (cos (* 2 (* (PI) u2))))) 2))))
(/.f64 (+.f64 (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)) #s(literal -1/16 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 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))) (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))) (*.f64 #s(literal 1/36 binary64) (*.f64 #s(literal -2 binary64) (log.f64 u1))))))))
(- 1/16 (pow (* 1/6 (* (sqrt (* -2 (log u1))) (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 (* 1/6 (* (sqrt (* -2 (log u1))) (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))
(* 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
#s(literal 1/6 binary64)
(* (sqrt (* -2 (log u1))) (cos (* 2 (* (PI) u2))))
(*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))))
(sqrt (* -2 (log u1)))
(sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)))
(* -2 (log u1))
(*.f64 #s(literal -2 binary64) (log.f64 u1))
-2
#s(literal -2 binary64)
(log u1)
(log.f64 u1)
u1
(cos (* 2 (* (PI) u2)))
(cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))
(* 2 (* (PI) u2))
(*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))
2
#s(literal 2 binary64)
(* (PI) u2)
(*.f64 (PI.f64) u2)
(PI)
(PI.f64)
u2
4
#s(literal 4 binary64)
(* (+ 1/2 (* (cos (* 2 (* (PI) u2))) (* (sqrt (* -2 (log u1))) -1/6))) (+ 1/4 (pow (* 1/6 (* (sqrt (* -2 (log u1))) (cos (* 2 (* (PI) u2))))) 2)))
(*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))) (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal -1/6 binary64)))) (+.f64 #s(literal 1/4 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))) (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))) (*.f64 #s(literal 1/36 binary64) (*.f64 #s(literal -2 binary64) (log.f64 u1)))))))
(+ 1/2 (* (cos (* 2 (* (PI) u2))) (* (sqrt (* -2 (log u1))) -1/6)))
(+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))) (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal -1/6 binary64))))
1/2
#s(literal 1/2 binary64)
(* (cos (* 2 (* (PI) u2))) (* (sqrt (* -2 (log u1))) -1/6))
(*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))) (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal -1/6 binary64)))
(* (sqrt (* -2 (log u1))) -1/6)
(*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal -1/6 binary64))
-1/6
#s(literal -1/6 binary64)
(+ 1/4 (pow (* 1/6 (* (sqrt (* -2 (log u1))) (cos (* 2 (* (PI) u2))))) 2))
(+.f64 #s(literal 1/4 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))) (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))) (*.f64 #s(literal 1/36 binary64) (*.f64 #s(literal -2 binary64) (log.f64 u1))))))
1/4
#s(literal 1/4 binary64)
(pow (* 1/6 (* (sqrt (* -2 (log u1))) (cos (* 2 (* (PI) u2))))) 2)
(*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))) (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))) (*.f64 #s(literal 1/36 binary64) (*.f64 #s(literal -2 binary64) (log.f64 u1)))))

localize422.0ms (4%)

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%
(*.f64 #s(literal -2 binary64) (log.f64 u1))
✓accuracy100.0%
(log.f64 u1)
✓accuracy100.0%
(cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))
✓accuracy3.1%
(PI.f64)
✓accuracy100.0%
(*.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -2 binary64)))
✓accuracy100.0%
(sqrt.f64 (log.f64 u1))
✓accuracy100.0%
(sqrt.f64 #s(literal -2 binary64))
✓accuracy100.0%
(log.f64 u1)
✓accuracy100.0%
(*.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
290.0ms256×0invalid
Compiler

Compiled 665 to 51 computations (92.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 214.0ms
...c/correct-round.rkt:119:19: 76.0ms (35.5% of total)
ival-add: 58.0ms (27.1% of total)
ival-mult: 31.0ms (14.5% of total)
ival-pow: 28.0ms (13.1% of total)
ival-div: 5.0ms (2.3% of total)
ival-sqrt: 5.0ms (2.3% of total)
ival-log: 4.0ms (1.9% of total)
ival-cos: 2.0ms (0.9% of total)
const: 2.0ms (0.9% of total)
ival-pi: 1.0ms (0.5% of total)
ival-sub: 1.0ms (0.5% of total)
backward-pass: 0.0ms (0% of total)

series110.0ms (1%)

Counts
25 → 396
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 (pow (* -2 (log u1)) 1/4) 2)) (cos (* 2 (* (PI) u2)))))>
#<alt (* (* 1/6 (pow (pow (* -2 (log u1)) 1/4) 2)) (cos (* 2 (* (PI) u2))))>
#<alt (* 1/6 (pow (pow (* -2 (log u1)) 1/4) 2))>
#<alt (pow (pow (* -2 (log u1)) 1/4) 2)>
#<alt (/ 1 (/ (+ (* 1/6 (* (sqrt (* -2 (log u1))) (cos (* 2 (* (PI) u2))))) -1/2) (+ (pow (* 1/6 (* (sqrt (* -2 (log u1))) (cos (* 2 (* (PI) u2))))) 2) -1/4)))>
#<alt (/ (+ (* 1/6 (* (sqrt (* -2 (log u1))) (cos (* 2 (* (PI) u2))))) -1/2) (+ (pow (* 1/6 (* (sqrt (* -2 (log u1))) (cos (* 2 (* (PI) u2))))) 2) -1/4))>
#<alt (+ (pow (* 1/6 (* (sqrt (* -2 (log u1))) (cos (* 2 (* (PI) u2))))) 2) -1/4)>
#<alt (pow (* 1/6 (* (sqrt (* -2 (log u1))) (cos (* 2 (* (PI) u2))))) 2)>
#<alt (/ (- 1/16 (pow (* 1/6 (* (sqrt (* -2 (log u1))) (cos (* 2 (* (PI) u2))))) 4)) (* (+ 1/2 (* (cos (* 2 (* (PI) u2))) (* (sqrt (* -2 (log u1))) -1/6))) (+ 1/4 (pow (* 1/6 (* (sqrt (* -2 (log u1))) (cos (* 2 (* (PI) u2))))) 2))))>
#<alt (* (+ 1/2 (* (cos (* 2 (* (PI) u2))) (* (sqrt (* -2 (log u1))) -1/6))) (+ 1/4 (pow (* 1/6 (* (sqrt (* -2 (log u1))) (cos (* 2 (* (PI) u2))))) 2)))>
#<alt (+ 1/4 (pow (* 1/6 (* (sqrt (* -2 (log u1))) (cos (* 2 (* (PI) u2))))) 2))>
#<alt (PI)>
#<alt (cos (* 2 (* (PI) u2)))>
#<alt (* -2 (log u1))>
#<alt (sqrt -2)>
#<alt (* 1/6 (sqrt -2))>
#<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)))))))>
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#<alt (* (+ 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)))))))>
#<alt (* (+ 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)))))))>
#<alt (* (+ 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)))))))))>
#<alt (* (+ 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)))))))))>
#<alt (* (+ 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)))))))))>
#<alt (* (+ 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)))))))))>
#<alt (+ 1/4 (* 1/36 (* (pow (cos (* 2 (* u2 (PI)))) 2) (* (log u1) (pow (sqrt -2) 2)))))>
#<alt (+ 1/4 (* 1/36 (* (pow (cos (* 2 (* u2 (PI)))) 2) (* (log u1) (pow (sqrt -2) 2)))))>
#<alt (+ 1/4 (* 1/36 (* (pow (cos (* 2 (* u2 (PI)))) 2) (* (log u1) (pow (sqrt -2) 2)))))>
#<alt (+ 1/4 (* 1/36 (* (pow (cos (* 2 (* u2 (PI)))) 2) (* (log u1) (pow (sqrt -2) 2)))))>
#<alt (+ 1/4 (* -1/36 (* (pow (cos (* 2 (* u2 (PI)))) 2) (* (log (/ 1 u1)) (pow (sqrt -2) 2)))))>
#<alt (+ 1/4 (* -1/36 (* (pow (cos (* 2 (* u2 (PI)))) 2) (* (log (/ 1 u1)) (pow (sqrt -2) 2)))))>
#<alt (+ 1/4 (* -1/36 (* (pow (cos (* 2 (* u2 (PI)))) 2) (* (log (/ 1 u1)) (pow (sqrt -2) 2)))))>
#<alt (+ 1/4 (* -1/36 (* (pow (cos (* 2 (* u2 (PI)))) 2) (* (log (/ 1 u1)) (pow (sqrt -2) 2)))))>
#<alt (+ 1/4 (* 1/36 (* (pow (cos (* 2 (* u2 (PI)))) 2) (* (pow (sqrt -2) 2) (+ (log -1) (* -1 (log (/ -1 u1))))))))>
#<alt (+ 1/4 (* 1/36 (* (pow (cos (* 2 (* u2 (PI)))) 2) (* (pow (sqrt -2) 2) (+ (log -1) (* -1 (log (/ -1 u1))))))))>
#<alt (+ 1/4 (* 1/36 (* (pow (cos (* 2 (* u2 (PI)))) 2) (* (pow (sqrt -2) 2) (+ (log -1) (* -1 (log (/ -1 u1))))))))>
#<alt (+ 1/4 (* 1/36 (* (pow (cos (* 2 (* u2 (PI)))) 2) (* (pow (sqrt -2) 2) (+ (log -1) (* -1 (log (/ -1 u1))))))))>
#<alt (+ 1/4 (* 1/36 (* (log u1) (pow (sqrt -2) 2))))>
#<alt (+ 1/4 (+ (* -1/9 (* (pow u2 2) (* (pow (PI) 2) (* (log u1) (pow (sqrt -2) 2))))) (* 1/36 (* (log u1) (pow (sqrt -2) 2)))))>
#<alt (+ 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)))))))))))>
#<alt (+ 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)))))))))))))>
#<alt (+ 1/4 (* 1/36 (* (pow (cos (* 2 (* u2 (PI)))) 2) (* (log u1) (pow (sqrt -2) 2)))))>
#<alt (+ 1/4 (* 1/36 (* (pow (cos (* 2 (* u2 (PI)))) 2) (* (log u1) (pow (sqrt -2) 2)))))>
#<alt (+ 1/4 (* 1/36 (* (pow (cos (* 2 (* u2 (PI)))) 2) (* (log u1) (pow (sqrt -2) 2)))))>
#<alt (+ 1/4 (* 1/36 (* (pow (cos (* 2 (* u2 (PI)))) 2) (* (log u1) (pow (sqrt -2) 2)))))>
#<alt (+ 1/4 (* 1/36 (* (pow (cos (* 2 (* u2 (PI)))) 2) (* (log u1) (pow (sqrt -2) 2)))))>
#<alt (+ 1/4 (* 1/36 (* (pow (cos (* 2 (* u2 (PI)))) 2) (* (log u1) (pow (sqrt -2) 2)))))>
#<alt (+ 1/4 (* 1/36 (* (pow (cos (* 2 (* u2 (PI)))) 2) (* (log u1) (pow (sqrt -2) 2)))))>
#<alt (+ 1/4 (* 1/36 (* (pow (cos (* 2 (* u2 (PI)))) 2) (* (log u1) (pow (sqrt -2) 2)))))>
#<alt 1>
#<alt (+ 1 (* -2 (* (pow u2 2) (pow (PI) 2))))>
#<alt (+ 1 (* (pow u2 2) (+ (* -2 (pow (PI) 2)) (* 2/3 (* (pow u2 2) (pow (PI) 4))))))>
#<alt (+ 1 (* (pow u2 2) (+ (* -2 (pow (PI) 2)) (* (pow u2 2) (+ (* -4/45 (* (pow u2 2) (pow (PI) 6))) (* 2/3 (pow (PI) 4)))))))>
#<alt (cos (* 2 (* u2 (PI))))>
#<alt (cos (* 2 (* u2 (PI))))>
#<alt (cos (* 2 (* u2 (PI))))>
#<alt (cos (* 2 (* u2 (PI))))>
#<alt (cos (* 2 (* u2 (PI))))>
#<alt (cos (* 2 (* u2 (PI))))>
#<alt (cos (* 2 (* u2 (PI))))>
#<alt (cos (* 2 (* u2 (PI))))>
#<alt (* -2 (log u1))>
#<alt (* -2 (log u1))>
#<alt (* -2 (log u1))>
#<alt (* -2 (log u1))>
#<alt (* 2 (log (/ 1 u1)))>
#<alt (* 2 (log (/ 1 u1)))>
#<alt (* 2 (log (/ 1 u1)))>
#<alt (* 2 (log (/ 1 u1)))>
#<alt (* -2 (+ (log -1) (* -1 (log (/ -1 u1)))))>
#<alt (* -2 (+ (log -1) (* -1 (log (/ -1 u1)))))>
#<alt (* -2 (+ (log -1) (* -1 (log (/ -1 u1)))))>
#<alt (* -2 (+ (log -1) (* -1 (log (/ -1 u1)))))>
#<alt (* (sqrt (log u1)) (sqrt -2))>
#<alt (* (sqrt (log u1)) (sqrt -2))>
#<alt (* (sqrt (log u1)) (sqrt -2))>
#<alt (* (sqrt (log u1)) (sqrt -2))>
#<alt (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1)))>
#<alt (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1)))>
#<alt (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1)))>
#<alt (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1)))>
#<alt (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))>
#<alt (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))>
#<alt (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))>
#<alt (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))>
Calls

99 calls:

TimeVariablePointExpression
34.0ms
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 (* 1/6 (* (sqrt (* -2 (log u1))) (cos (* 2 (* (PI) u2))))) 4)) (* (+ 1/2 (* (cos (* 2 (* (PI) u2))) (* (sqrt (* -2 (log u1))) -1/6))) (+ 1/4 (pow (* 1/6 (* (sqrt (* -2 (log u1))) (cos (* 2 (* (PI) u2))))) 2))))
6.0ms
u1
@0
(/ 1 (/ (+ (* 1/6 (* (sqrt (* -2 (log u1))) (cos (* 2 (* (PI) u2))))) -1/2) (+ (pow (* 1/6 (* (sqrt (* -2 (log u1))) (cos (* 2 (* (PI) u2))))) 2) -1/4)))
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 (* 1/6 (* (sqrt (* -2 (log u1))) (cos (* 2 (* (PI) u2))))) 4)) (* (+ 1/2 (* (cos (* 2 (* (PI) u2))) (* (sqrt (* -2 (log u1))) -1/6))) (+ 1/4 (pow (* 1/6 (* (sqrt (* -2 (log u1))) (cos (* 2 (* (PI) u2))))) 2))))

rewrite255.0ms (2.4%)

Algorithm
1×batch-egg-rewrite
Rules
1240×*-lowering-*.f32
1240×*-lowering-*.f64
622×/-lowering-/.f32
622×/-lowering-/.f64
432×+-lowering-+.f64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
050281
1301254
02059254
Stop Event
1×iter limit
1×iter limit
1×node limit
Counts
25 → 620
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 (pow (* -2 (log u1)) 1/4) 2)) (cos (* 2 (* (PI) u2)))))
(* (* 1/6 (pow (pow (* -2 (log u1)) 1/4) 2)) (cos (* 2 (* (PI) u2))))
(* 1/6 (pow (pow (* -2 (log u1)) 1/4) 2))
(pow (pow (* -2 (log u1)) 1/4) 2)
(/ 1 (/ (+ (* 1/6 (* (sqrt (* -2 (log u1))) (cos (* 2 (* (PI) u2))))) -1/2) (+ (pow (* 1/6 (* (sqrt (* -2 (log u1))) (cos (* 2 (* (PI) u2))))) 2) -1/4)))
(/ (+ (* 1/6 (* (sqrt (* -2 (log u1))) (cos (* 2 (* (PI) u2))))) -1/2) (+ (pow (* 1/6 (* (sqrt (* -2 (log u1))) (cos (* 2 (* (PI) u2))))) 2) -1/4))
(+ (pow (* 1/6 (* (sqrt (* -2 (log u1))) (cos (* 2 (* (PI) u2))))) 2) -1/4)
(pow (* 1/6 (* (sqrt (* -2 (log u1))) (cos (* 2 (* (PI) u2))))) 2)
(/ (- 1/16 (pow (* 1/6 (* (sqrt (* -2 (log u1))) (cos (* 2 (* (PI) u2))))) 4)) (* (+ 1/2 (* (cos (* 2 (* (PI) u2))) (* (sqrt (* -2 (log u1))) -1/6))) (+ 1/4 (pow (* 1/6 (* (sqrt (* -2 (log u1))) (cos (* 2 (* (PI) u2))))) 2))))
(* (+ 1/2 (* (cos (* 2 (* (PI) u2))) (* (sqrt (* -2 (log u1))) -1/6))) (+ 1/4 (pow (* 1/6 (* (sqrt (* -2 (log u1))) (cos (* 2 (* (PI) u2))))) 2)))
(+ 1/4 (pow (* 1/6 (* (sqrt (* -2 (log u1))) (cos (* 2 (* (PI) u2))))) 2))
(PI)
(cos (* 2 (* (PI) u2)))
(* -2 (log u1))
(sqrt -2)
(* 1/6 (sqrt -2))
(sqrt (* -2 (log u1)))
Outputs
(+.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (*.f64 #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 1/2 binary64) (neg.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))) #s(literal -1/6 binary64)))))
(+.f64 #s(literal 1/2 binary64) (*.f64 (neg.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))) (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal -1/6 binary64))))
(+.f64 #s(literal 1/2 binary64) (*.f64 (neg.f64 (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))))) #s(literal -1/6 binary64)))
(+.f64 #s(literal 1/2 binary64) (*.f64 (neg.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal -1/6 binary64))) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))))
(+.f64 (*.f64 (sqrt.f64 (*.f64 #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) (*.f64 (+.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)))) (+.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))))) (neg.f64 (/.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 4 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))) #s(literal -1/6 binary64))))) (+.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 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.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 #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))) #s(literal -1/4 binary64)))
(+.f64 (*.f64 (/.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))) #s(literal -1/4 binary64)) (*.f64 (/.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))) (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 (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) (+.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 #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 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 (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) (+.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)))))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))))))) #s(literal -1 binary64)))
(-.f64 #s(literal 1/2 binary64) (*.f64 (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))))
(-.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) (*.f64 (+.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)))) (+.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 (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 1/2 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))))) (+.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 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))) #s(literal -1/6 binary64))))) (/.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 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))) #s(literal -1/6 binary64))))))
(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))
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(/.f64 #s(literal 1 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 1/144 binary64) (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)))) #s(literal 2 binary64)))) (+.f64 #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 1/16 binary64) (*.f64 #s(literal -1/1296 binary64) (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)))) #s(literal 4 binary64)))) (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal -1/36 binary64) (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)))) #s(literal 2 binary64)))))
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(/.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 (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 1/16 binary64) (*.f64 #s(literal 1/144 binary64) (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)))) #s(literal 2 binary64))))))
(/.f64 (-.f64 #s(literal 1/4096 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 12 binary64))) (*.f64 (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal -1/36 binary64) (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)))) #s(literal 2 binary64)))) (+.f64 #s(literal 1/256 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 8 binary64)) (*.f64 #s(literal 1/20736 binary64) (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)))) #s(literal 4 binary64)))))))
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(/.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 6 binary64)) #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 4 binary64)) (+.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 2 binary64)) #s(literal -1/4 binary64)))))
(*.f64 (+.f64 #s(literal 1/16 binary64) (*.f64 #s(literal -1/1296 binary64) (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)))) #s(literal 4 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal -1/36 binary64) (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)))) #s(literal 2 binary64))))))
(*.f64 (+.f64 #s(literal 1/64 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 (+.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 1/144 binary64) (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)))) #s(literal 2 binary64))))))
(PI.f64)
(log.f64 (exp.f64 (PI.f64)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (PI.f64))))
(exp.f64 (log.f64 (PI.f64)))
(exp.f64 (*.f64 (log.f64 (PI.f64)) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (PI.f64))) #s(literal 1 binary64))
(sqrt.f64 (*.f64 (PI.f64) (PI.f64)))
(cbrt.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))))
(expm1.f64 (log1p.f64 (PI.f64)))
(log1p.f64 (expm1.f64 (PI.f64)))
(pow.f64 (PI.f64) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (PI.f64)) #s(literal 3 binary64))
(pow.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64))
(*.f64 (PI.f64) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (PI.f64))
(*.f64 (cbrt.f64 (PI.f64)) (cbrt.f64 (*.f64 (PI.f64) (PI.f64))))
(*.f64 (cbrt.f64 (*.f64 (PI.f64) (PI.f64))) (cbrt.f64 (PI.f64)))
(*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) (PI.f64))) #s(literal 1 binary64)) (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (PI.f64)) #s(literal 1 binary64)) (pow.f64 (sqrt.f64 (PI.f64)) #s(literal 1 binary64)))
(*.f64 (*.f64 #s(literal 1 binary64) (cbrt.f64 (*.f64 (PI.f64) (PI.f64)))) (cbrt.f64 (PI.f64)))
(+.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))) (fma.f64 (neg.f64 (sin.f64 (*.f64 (PI.f64) u2))) (sin.f64 (*.f64 (PI.f64) u2)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))))))
(+.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))))) (neg.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))))))
(+.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))))) (*.f64 (neg.f64 (sin.f64 (*.f64 (PI.f64) u2))) (sin.f64 (*.f64 (PI.f64) u2))))
(cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))
(-.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))))))
(fma.f64 (cos.f64 (*.f64 (PI.f64) u2)) (cos.f64 (*.f64 (PI.f64) u2)) (neg.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))))))
(/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))))) #s(literal 3 binary64)) (pow.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))))) #s(literal 3 binary64))) (+.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))))) (+.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))))))))
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))))) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))))))) (+.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))))))
(*.f64 (+.f64 (cos.f64 (*.f64 (PI.f64) u2)) (sin.f64 (*.f64 (PI.f64) u2))) (-.f64 (cos.f64 (*.f64 (PI.f64) u2)) (sin.f64 (*.f64 (PI.f64) u2))))
(*.f64 #s(literal -2 binary64) (log.f64 u1))
(*.f64 (log.f64 u1) #s(literal -2 binary64))
(exp.f64 (*.f64 (log.f64 #s(literal -2 binary64)) #s(literal 1/2 binary64)))
(sqrt.f64 #s(literal -2 binary64))
(pow.f64 #s(literal -2 binary64) #s(literal 1/2 binary64))
(*.f64 (pow.f64 #s(literal -2 binary64) #s(literal 1/4 binary64)) (pow.f64 #s(literal -2 binary64) #s(literal 1/4 binary64)))
(*.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -2 binary64)))
(*.f64 (sqrt.f64 #s(literal -2 binary64)) #s(literal 1/6 binary64))
(exp.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 2 binary64) (log.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))))))
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/4 binary64) (log.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))))))
(exp.f64 (+.f64 (*.f64 #s(literal 1/4 binary64) (log.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)))) (*.f64 #s(literal 1/4 binary64) (log.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))))))
(sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)))
(pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 2 binary64)) #s(literal 1/4 binary64))
(pow.f64 (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal 1 binary64))
(pow.f64 (*.f64 (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 2 binary64)) (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 2 binary64))) #s(literal 1/8 binary64))
(pow.f64 (exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))))) #s(literal 1/4 binary64))
(*.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 #s(literal -2 binary64)))
(*.f64 (sqrt.f64 #s(literal -2 binary64)) (sqrt.f64 (log.f64 u1)))
(*.f64 (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/4 binary64)) (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 #s(literal -2 binary64) #s(literal 1/4 binary64)) (pow.f64 (*.f64 (pow.f64 (log.f64 u1) #s(literal 2 binary64)) #s(literal -2 binary64)) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 #s(literal -2 binary64) #s(literal 1/4 binary64)) (*.f64 (pow.f64 (log.f64 u1) #s(literal 1/4 binary64)) (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/4 binary64))))
(*.f64 (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/8 binary64)) (*.f64 (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/8 binary64)) (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/4 binary64))))
(*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/4 binary64)) (pow.f64 (pow.f64 (log.f64 u1) #s(literal 2 binary64)) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (*.f64 (log.f64 u1) #s(literal 4 binary64)) #s(literal 1/4 binary64)) (pow.f64 (log.f64 u1) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (pow.f64 #s(literal -2 binary64) #s(literal 1/4 binary64)) #s(literal 2 binary64)) (pow.f64 (pow.f64 (log.f64 u1) #s(literal 1/4 binary64)) #s(literal 2 binary64)))
(*.f64 (*.f64 (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/4 binary64)) (pow.f64 #s(literal -2 binary64) #s(literal 1/4 binary64))) (pow.f64 (log.f64 u1) #s(literal 1/4 binary64)))
(*.f64 (*.f64 (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/4 binary64)) (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/8 binary64))) (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/8 binary64)))

simplify348.0ms (3.3%)

Algorithm
1×egg-herbie
Rules
8156×*-lowering-*.f32
8156×*-lowering-*.f64
2348×+-lowering-+.f64
2348×+-lowering-+.f32
1680×associate-*r*
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
053513026
1181611188
0808411188
Stop Event
1×iter limit
1×node limit
Counts
396 → 396
Calls
Call 1
Inputs
(+ 1/2 (* 1/6 (* (pow 4 1/4) (* (cos (* 2 (* u2 (PI)))) (sqrt (log u1))))))
(+ 1/2 (* 1/6 (* (pow 4 1/4) (* (cos (* 2 (* u2 (PI)))) (sqrt (log u1))))))
(+ 1/2 (* 1/6 (* (pow 4 1/4) (* (cos (* 2 (* u2 (PI)))) (sqrt (log u1))))))
(+ 1/2 (* 1/6 (* (pow 4 1/4) (* (cos (* 2 (* u2 (PI)))) (sqrt (log u1))))))
(+ 1/2 (* 1/6 (* (pow 4 1/4) (* (* (cos (* 2 (* u2 (PI)))) (sqrt -1)) (sqrt (log (/ 1 u1)))))))
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1
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(+ 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))
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(* -2 (log u1))
(* -2 (log u1))
(* 2 (log (/ 1 u1)))
(* 2 (log (/ 1 u1)))
(* 2 (log (/ 1 u1)))
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(* -2 (+ (log -1) (* -1 (log (/ -1 u1)))))
(* -2 (+ (log -1) (* -1 (log (/ -1 u1)))))
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(* (sqrt (log u1)) (sqrt -2))
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(* (sqrt (log u1)) (sqrt -2))
(* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1)))
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(* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))
(* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))
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(cos (* 2 (* u2 (PI))))
(cos.f64 (*.f64 u2 (*.f64 (PI.f64) #s(literal 2 binary64))))
(cos (* 2 (* u2 (PI))))
(cos.f64 (*.f64 u2 (*.f64 (PI.f64) #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 #s(literal -1 binary64)) (*.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (log.f64 u1))) (sqrt.f64 #s(literal -2 binary64))))
(* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1)))
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (log.f64 u1))) (sqrt.f64 #s(literal -2 binary64))))
(* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1)))
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (log.f64 u1))) (sqrt.f64 #s(literal -2 binary64))))
(* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1)))
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (log.f64 u1))) (sqrt.f64 #s(literal -2 binary64))))
(* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))
(*.f64 (sqrt.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) u1)))) (sqrt.f64 #s(literal -2 binary64)))
(* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))
(*.f64 (sqrt.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) u1)))) (sqrt.f64 #s(literal -2 binary64)))
(* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))
(*.f64 (sqrt.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) u1)))) (sqrt.f64 #s(literal -2 binary64)))
(* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))
(*.f64 (sqrt.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) u1)))) (sqrt.f64 #s(literal -2 binary64)))

eval218.0ms (2.1%)

Compiler

Compiled 77362 to 3094 computations (96% saved)

prune126.0ms (1.2%)

Pruning

13 alts after pruning (13 fresh and 0 done)

PrunedKeptTotal
New1654121666
Fresh12113
Picked505
Done000
Total1671131684
Accuracy
100.0%
Counts
1684 → 13
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.1%
(/.f64 (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal -1/36 binary64) (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)))) #s(literal 2 binary64)))) (+.f64 #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)))))
98.5%
(/.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)))))
▶98.4%
(/.f64 #s(literal 1 binary64) (/.f64 (-.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 1/4 binary64) (pow.f64 (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)))) #s(literal 2 binary64)))))
98.3%
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))))) #s(literal -1/2 binary64)) (+.f64 (*.f64 (log.f64 u1) #s(literal -1/18 binary64)) #s(literal -1/4 binary64))))
99.3%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))))))))
99.5%
(+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))))) #s(literal 1/2 binary64))
▶98.6%
(+.f64 (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)))) #s(literal 1/2 binary64))
98.2%
(+.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)) #s(literal 1/6 binary64))))
98.3%
(+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/4 binary64)) #s(literal 2 binary64))) #s(literal 1 binary64)))
▶98.6%
(+.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)))
▶99.5%
(+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (log.f64 u1))) (sqrt.f64 #s(literal 2 binary64)))) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))))
▶98.9%
(+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 #s(literal 1/6 binary64) (exp.f64 (*.f64 (log.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal 1/2 binary64)))) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))))
99.3%
(+.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 (log.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 binary64))))
Compiler

Compiled 582 to 446 computations (23.4% saved)

simplify154.0ms (1.5%)

Algorithm
1×egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
✓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 #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)))
✓cost-diff12992
(/.f64 (-.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 1/4 binary64) (pow.f64 (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)))) #s(literal 2 binary64))))
✓cost-diff13120
(/.f64 #s(literal 1 binary64) (/.f64 (-.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 1/4 binary64) (pow.f64 (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)))) #s(literal 2 binary64)))))
✓cost-diff6528
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal 1/2 binary64)))
✓cost-diff6528
(*.f64 #s(literal 1/6 binary64) (exp.f64 (*.f64 (log.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal 1/2 binary64))))
✓cost-diff6528
(*.f64 (*.f64 #s(literal 1/6 binary64) (exp.f64 (*.f64 (log.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal 1/2 binary64)))) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))))
✓cost-diff6528
(+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 #s(literal 1/6 binary64) (exp.f64 (*.f64 (log.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal 1/2 binary64)))) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))))
✓cost-diff6720
(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-diff6720
(*.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-diff6848
(*.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))
✓cost-diff6848
(+.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)))
✓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
2244×*-lowering-*.f32
2244×*-lowering-*.f64
1724×fma-lowering-fma.f32
1724×fma-lowering-fma.f64
1474×fmsub-define
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
041338
199334
2217315
3444309
4964306
52534306
65954306
08213306
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 (* (* 1/6 (pow (* (* -2 (log u1)) (* -2 (log u1))) 1/4)) 1))
1/2
(* (* 1/6 (pow (* (* -2 (log u1)) (* -2 (log u1))) 1/4)) 1)
(* 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
1
(+ 1/2 (* (* 1/6 (exp (* (log (* -2 (log u1))) 1/2))) (cos (* 2 (* (PI) u2)))))
1/2
(* (* 1/6 (exp (* (log (* -2 (log u1))) 1/2))) (cos (* 2 (* (PI) u2))))
(* 1/6 (exp (* (log (* -2 (log u1))) 1/2)))
1/6
(exp (* (log (* -2 (log u1))) 1/2))
(* (log (* -2 (log u1))) 1/2)
(log (* -2 (log u1)))
(* -2 (log u1))
-2
(log u1)
u1
(cos (* 2 (* (PI) u2)))
(* 2 (* (PI) u2))
2
(* (PI) u2)
(PI)
u2
(/ 1 (/ (- 1/2 (* 1/6 (sqrt (* -2 (log u1))))) (- 1/4 (pow (* 1/6 (sqrt (* -2 (log u1)))) 2))))
1
(/ (- 1/2 (* 1/6 (sqrt (* -2 (log u1))))) (- 1/4 (pow (* 1/6 (sqrt (* -2 (log u1)))) 2)))
(- 1/2 (* 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
(- 1/4 (pow (* 1/6 (sqrt (* -2 (log u1)))) 2))
1/4
(pow (* 1/6 (sqrt (* -2 (log u1)))) 2)
2
Outputs
(+ 1/2 (* (* 1/6 (* (sqrt (- 0 (log u1))) (sqrt 2))) (cos (* 2 (* (PI) u2)))))
(+.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (log.f64 u1))) (*.f64 (cos.f64 (*.f64 (PI.f64) (*.f64 #s(literal 2 binary64) u2))) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal 2 binary64))))))
1/2
#s(literal 1/2 binary64)
(* (* 1/6 (* (sqrt (- 0 (log u1))) (sqrt 2))) (cos (* 2 (* (PI) u2))))
(*.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (log.f64 u1))) (*.f64 (cos.f64 (*.f64 (PI.f64) (*.f64 #s(literal 2 binary64) u2))) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal 2 binary64)))))
(* 1/6 (* (sqrt (- 0 (log u1))) (sqrt 2)))
(*.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (log.f64 u1))) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal 2 binary64))))
1/6
#s(literal 1/6 binary64)
(* (sqrt (- 0 (log u1))) (sqrt 2))
(*.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (log.f64 u1))) (sqrt.f64 #s(literal 2 binary64)))
(sqrt (- 0 (log u1)))
(sqrt.f64 (-.f64 #s(literal 0 binary64) (log.f64 u1)))
(- 0 (log u1))
(-.f64 #s(literal 0 binary64) (log.f64 u1))
0
#s(literal 0 binary64)
(log u1)
(log.f64 u1)
u1
(sqrt 2)
(sqrt.f64 #s(literal 2 binary64))
2
#s(literal 2 binary64)
(cos (* 2 (* (PI) u2)))
(cos.f64 (*.f64 (PI.f64) (*.f64 #s(literal 2 binary64) u2)))
(* 2 (* (PI) u2))
(*.f64 (PI.f64) (*.f64 #s(literal 2 binary64) u2))
(* (PI) u2)
(*.f64 (PI.f64) u2)
(PI)
(PI.f64)
u2
(+ (* 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 (* (* 1/6 (pow (* (* -2 (log u1)) (* -2 (log u1))) 1/4)) 1))
(+.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)
(* (* 1/6 (pow (* (* -2 (log u1)) (* -2 (log u1))) 1/4)) 1)
(*.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))))
(* 1/6 (pow (* (* -2 (log u1)) (* -2 (log u1))) 1/4))
(*.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))))
1/6
#s(literal 1/6 binary64)
(pow (* (* -2 (log u1)) (* -2 (log u1))) 1/4)
(sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)))
(* (* -2 (log u1)) (* -2 (log u1)))
(pow.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)) #s(literal 2 binary64))
(* -2 (log u1))
(*.f64 (log.f64 u1) #s(literal -2 binary64))
-2
#s(literal -2 binary64)
(log u1)
(log.f64 u1)
u1
1/4
#s(literal 1/4 binary64)
1
#s(literal 1 binary64)
(+ 1/2 (* (* 1/6 (exp (* (log (* -2 (log u1))) 1/2))) (cos (* 2 (* (PI) u2)))))
(+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 (PI.f64) (*.f64 #s(literal 2 binary64) u2))) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))))))
1/2
#s(literal 1/2 binary64)
(* (* 1/6 (exp (* (log (* -2 (log u1))) 1/2))) (cos (* 2 (* (PI) u2))))
(*.f64 (cos.f64 (*.f64 (PI.f64) (*.f64 #s(literal 2 binary64) u2))) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)))))
(* 1/6 (exp (* (log (* -2 (log u1))) 1/2)))
(*.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))))
1/6
#s(literal 1/6 binary64)
(exp (* (log (* -2 (log u1))) 1/2))
(sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)))
(* (log (* -2 (log u1))) 1/2)
(*.f64 #s(literal 1/2 binary64) (log.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))))
(log (* -2 (log u1)))
(log.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)))
(* -2 (log u1))
(*.f64 (log.f64 u1) #s(literal -2 binary64))
-2
#s(literal -2 binary64)
(log u1)
(log.f64 u1)
u1
(cos (* 2 (* (PI) u2)))
(cos.f64 (*.f64 (PI.f64) (*.f64 #s(literal 2 binary64) u2)))
(* 2 (* (PI) u2))
(*.f64 (PI.f64) (*.f64 #s(literal 2 binary64) u2))
2
#s(literal 2 binary64)
(* (PI) u2)
(*.f64 (PI.f64) u2)
(PI)
(PI.f64)
u2
(/ 1 (/ (- 1/2 (* 1/6 (sqrt (* -2 (log u1))))) (- 1/4 (pow (* 1/6 (sqrt (* -2 (log u1)))) 2))))
(/.f64 (+.f64 #s(literal 1/4 binary64) (*.f64 (log.f64 u1) #s(literal 1/18 binary64))) (+.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal -1/6 binary64))))
1
#s(literal 1 binary64)
(/ (- 1/2 (* 1/6 (sqrt (* -2 (log u1))))) (- 1/4 (pow (* 1/6 (sqrt (* -2 (log u1)))) 2)))
(/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal -1/6 binary64))) (+.f64 #s(literal 1/4 binary64) (*.f64 (log.f64 u1) #s(literal 1/18 binary64))))
(- 1/2 (* 1/6 (sqrt (* -2 (log u1)))))
(+.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal -1/6 binary64)))
1/2
#s(literal 1/2 binary64)
(* 1/6 (sqrt (* -2 (log u1))))
(*.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))))
1/6
#s(literal 1/6 binary64)
(sqrt (* -2 (log u1)))
(sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)))
(* -2 (log u1))
(*.f64 (log.f64 u1) #s(literal -2 binary64))
-2
#s(literal -2 binary64)
(log u1)
(log.f64 u1)
u1
(- 1/4 (pow (* 1/6 (sqrt (* -2 (log u1)))) 2))
(+.f64 #s(literal 1/4 binary64) (*.f64 (log.f64 u1) #s(literal 1/18 binary64)))
1/4
#s(literal 1/4 binary64)
(pow (* 1/6 (sqrt (* -2 (log u1)))) 2)
(*.f64 (log.f64 u1) #s(literal -1/18 binary64))
2
#s(literal 2 binary64)

localize234.0ms (2.2%)

Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
✓accuracy99.6%
(/.f64 #s(literal 1 binary64) (/.f64 (-.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 1/4 binary64) (pow.f64 (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)))) #s(literal 2 binary64)))))
✓accuracy99.5%
(/.f64 (-.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 1/4 binary64) (pow.f64 (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)))) #s(literal 2 binary64))))
✓accuracy99.4%
(*.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))))
✓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%
(log.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)))
✓accuracy99.6%
(*.f64 (PI.f64) u2)
✓accuracy99.4%
(*.f64 #s(literal 1/6 binary64) (exp.f64 (*.f64 (log.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal 1/2 binary64))))
✓accuracy99.0%
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal 1/2 binary64)))
✓accuracy99.9%
(+.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)))
✓accuracy99.9%
(pow.f64 (*.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal 1/4 binary64))
✓accuracy99.4%
(*.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)))
✓accuracy99.2%
(*.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) (*.f64 #s(literal -2 binary64) (log.f64 u1)))
✓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)))
✓accuracy99.6%
(*.f64 (PI.f64) u2)
✓accuracy99.4%
(*.f64 #s(literal 1/6 binary64) (*.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (log.f64 u1))) (sqrt.f64 #s(literal 2 binary64))))
✓accuracy99.3%
(*.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (log.f64 u1))) (sqrt.f64 #s(literal 2 binary64)))
Results
156.0ms256×0valid
Compiler

Compiled 390 to 42 computations (89.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 88.0ms
ival-mult: 27.0ms (30.7% of total)
ival-pow: 16.0ms (18.2% of total)
...c/correct-round.rkt:119:19: 9.0ms (10.2% of total)
ival-log: 8.0ms (9.1% of total)
ival-sub: 7.0ms (8% of total)
ival-add: 6.0ms (6.8% of total)
ival-sqrt: 5.0ms (5.7% of total)
ival-div: 4.0ms (4.6% of total)
ival-exp: 3.0ms (3.4% of total)
ival-cos: 2.0ms (2.3% of total)
ival-pi: 1.0ms (1.1% of total)
const: 1.0ms (1.1% of total)
backward-pass: 0.0ms (0% of total)

series76.0ms (0.7%)

Counts
25 → 348
Calls
Call 1
Inputs
#<alt (+ 1/2 (* (* 1/6 (* (sqrt (- 0 (log u1))) (sqrt 2))) (cos (* 2 (* (PI) u2)))))>
#<alt (* (* 1/6 (* (sqrt (- 0 (log u1))) (sqrt 2))) (cos (* 2 (* (PI) u2))))>
#<alt (* 1/6 (* (sqrt (- 0 (log u1))) (sqrt 2)))>
#<alt (* (sqrt (- 0 (log u1))) (sqrt 2))>
#<alt (+ (* 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 (* (* 1/6 (pow (* (* -2 (log u1)) (* -2 (log u1))) 1/4)) 1))>
#<alt (* (* 1/6 (pow (* (* -2 (log u1)) (* -2 (log u1))) 1/4)) 1)>
#<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 (* (* 1/6 (exp (* (log (* -2 (log u1))) 1/2))) (cos (* 2 (* (PI) u2)))))>
#<alt (* (* 1/6 (exp (* (log (* -2 (log u1))) 1/2))) (cos (* 2 (* (PI) u2))))>
#<alt (* 1/6 (exp (* (log (* -2 (log u1))) 1/2)))>
#<alt (exp (* (log (* -2 (log u1))) 1/2))>
#<alt (/ 1 (/ (- 1/2 (* 1/6 (sqrt (* -2 (log u1))))) (- 1/4 (pow (* 1/6 (sqrt (* -2 (log u1)))) 2))))>
#<alt (/ (- 1/2 (* 1/6 (sqrt (* -2 (log u1))))) (- 1/4 (pow (* 1/6 (sqrt (* -2 (log u1)))) 2)))>
#<alt (- 1/4 (pow (* 1/6 (sqrt (* -2 (log u1)))) 2))>
#<alt (pow (* 1/6 (sqrt (* -2 (log u1)))) 2)>
#<alt (* (PI) u2)>
#<alt (sqrt (- 0 (log u1)))>
#<alt (log u1)>
#<alt (* (* -2 (log u1)) (* -2 (log u1)))>
#<alt (log (* -2 (log u1)))>
Outputs
#<alt (+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (sqrt 2))) (sqrt (log u1)))))>
#<alt (+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (sqrt 2))) (sqrt (log u1)))))>
#<alt (+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (sqrt 2))) (sqrt (log u1)))))>
#<alt (+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (sqrt 2))) (sqrt (log u1)))))>
#<alt (+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (pow (sqrt -1) 2) (sqrt 2))) (sqrt (log (/ 1 u1))))))>
#<alt (+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (pow (sqrt -1) 2) (sqrt 2))) (sqrt (log (/ 1 u1))))))>
#<alt (+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (pow (sqrt -1) 2) (sqrt 2))) (sqrt (log (/ 1 u1))))))>
#<alt (+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (pow (sqrt -1) 2) (sqrt 2))) (sqrt (log (/ 1 u1))))))>
#<alt (+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (sqrt 2))) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))))>
#<alt (+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (sqrt 2))) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))))>
#<alt (+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (sqrt 2))) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))))>
#<alt (+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (sqrt 2))) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))))>
#<alt (+ 1/2 (* 1/6 (* (sqrt (log u1)) (* (sqrt -1) (sqrt 2)))))>
#<alt (+ 1/2 (+ (* -1/3 (* (* (pow u2 2) (* (pow (PI) 2) (* (sqrt -1) (sqrt 2)))) (sqrt (log u1)))) (* 1/6 (* (sqrt (log u1)) (* (sqrt -1) (sqrt 2))))))>
#<alt (+ 1/2 (+ (* 1/6 (* (sqrt (log u1)) (* (sqrt -1) (sqrt 2)))) (* (pow u2 2) (+ (* -1/3 (* (* (pow (PI) 2) (* (sqrt -1) (sqrt 2))) (sqrt (log u1)))) (* 1/9 (* (* (pow u2 2) (* (pow (PI) 4) (* (sqrt -1) (sqrt 2)))) (sqrt (log u1))))))))>
#<alt (+ 1/2 (+ (* 1/6 (* (sqrt (log u1)) (* (sqrt -1) (sqrt 2)))) (* (pow u2 2) (+ (* -1/3 (* (* (pow (PI) 2) (* (sqrt -1) (sqrt 2))) (sqrt (log u1)))) (* (pow u2 2) (+ (* -2/135 (* (* (pow u2 2) (* (pow (PI) 6) (* (sqrt -1) (sqrt 2)))) (sqrt (log u1)))) (* 1/9 (* (* (pow (PI) 4) (* (sqrt -1) (sqrt 2))) (sqrt (log u1))))))))))>
#<alt (+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (sqrt 2))) (sqrt (log u1)))))>
#<alt (+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (sqrt 2))) (sqrt (log u1)))))>
#<alt (+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (sqrt 2))) (sqrt (log u1)))))>
#<alt (+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (sqrt 2))) (sqrt (log u1)))))>
#<alt (+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (sqrt 2))) (sqrt (log u1)))))>
#<alt (+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (sqrt 2))) (sqrt (log u1)))))>
#<alt (+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (sqrt 2))) (sqrt (log u1)))))>
#<alt (+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (sqrt 2))) (sqrt (log u1)))))>
#<alt (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (sqrt 2))) (sqrt (log u1))))>
#<alt (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (sqrt 2))) (sqrt (log u1))))>
#<alt (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (sqrt 2))) (sqrt (log u1))))>
#<alt (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (sqrt 2))) (sqrt (log u1))))>
#<alt (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (pow (sqrt -1) 2) (sqrt 2))) (sqrt (log (/ 1 u1)))))>
#<alt (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (pow (sqrt -1) 2) (sqrt 2))) (sqrt (log (/ 1 u1)))))>
#<alt (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (pow (sqrt -1) 2) (sqrt 2))) (sqrt (log (/ 1 u1)))))>
#<alt (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (pow (sqrt -1) 2) (sqrt 2))) (sqrt (log (/ 1 u1)))))>
#<alt (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (sqrt 2))) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))))>
#<alt (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (sqrt 2))) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))))>
#<alt (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (sqrt 2))) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))))>
#<alt (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (sqrt 2))) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))))>
#<alt (* 1/6 (* (sqrt (log u1)) (* (sqrt -1) (sqrt 2))))>
#<alt (+ (* -1/3 (* (* (pow u2 2) (* (pow (PI) 2) (* (sqrt -1) (sqrt 2)))) (sqrt (log u1)))) (* 1/6 (* (sqrt (log u1)) (* (sqrt -1) (sqrt 2)))))>
#<alt (+ (* 1/6 (* (sqrt (log u1)) (* (sqrt -1) (sqrt 2)))) (* (pow u2 2) (+ (* -1/3 (* (* (pow (PI) 2) (* (sqrt -1) (sqrt 2))) (sqrt (log u1)))) (* 1/9 (* (* (pow u2 2) (* (pow (PI) 4) (* (sqrt -1) (sqrt 2)))) (sqrt (log u1)))))))>
#<alt (+ (* 1/6 (* (sqrt (log u1)) (* (sqrt -1) (sqrt 2)))) (* (pow u2 2) (+ (* -1/3 (* (* (pow (PI) 2) (* (sqrt -1) (sqrt 2))) (sqrt (log u1)))) (* (pow u2 2) (+ (* -2/135 (* (* (pow u2 2) (* (pow (PI) 6) (* (sqrt -1) (sqrt 2)))) (sqrt (log u1)))) (* 1/9 (* (* (pow (PI) 4) (* (sqrt -1) (sqrt 2))) (sqrt (log u1)))))))))>
#<alt (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (sqrt 2))) (sqrt (log u1))))>
#<alt (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (sqrt 2))) (sqrt (log u1))))>
#<alt (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (sqrt 2))) (sqrt (log u1))))>
#<alt (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (sqrt 2))) (sqrt (log u1))))>
#<alt (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (sqrt 2))) (sqrt (log u1))))>
#<alt (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (sqrt 2))) (sqrt (log u1))))>
#<alt (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (sqrt 2))) (sqrt (log u1))))>
#<alt (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (sqrt 2))) (sqrt (log u1))))>
#<alt (* 1/6 (* (sqrt (log u1)) (* (sqrt -1) (sqrt 2))))>
#<alt (* 1/6 (* (sqrt (log u1)) (* (sqrt -1) (sqrt 2))))>
#<alt (* 1/6 (* (sqrt (log u1)) (* (sqrt -1) (sqrt 2))))>
#<alt (* 1/6 (* (sqrt (log u1)) (* (sqrt -1) (sqrt 2))))>
#<alt (* 1/6 (* (sqrt (log (/ 1 u1))) (* (pow (sqrt -1) 2) (sqrt 2))))>
#<alt (* 1/6 (* (sqrt (log (/ 1 u1))) (* (pow (sqrt -1) 2) (sqrt 2))))>
#<alt (* 1/6 (* (sqrt (log (/ 1 u1))) (* (pow (sqrt -1) 2) (sqrt 2))))>
#<alt (* 1/6 (* (sqrt (log (/ 1 u1))) (* (pow (sqrt -1) 2) (sqrt 2))))>
#<alt (* 1/6 (* (* (sqrt -1) (sqrt 2)) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))))>
#<alt (* 1/6 (* (* (sqrt -1) (sqrt 2)) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))))>
#<alt (* 1/6 (* (* (sqrt -1) (sqrt 2)) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))))>
#<alt (* 1/6 (* (* (sqrt -1) (sqrt 2)) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))))>
#<alt (* (sqrt (log u1)) (* (sqrt -1) (sqrt 2)))>
#<alt (* (sqrt (log u1)) (* (sqrt -1) (sqrt 2)))>
#<alt (* (sqrt (log u1)) (* (sqrt -1) (sqrt 2)))>
#<alt (* (sqrt (log u1)) (* (sqrt -1) (sqrt 2)))>
#<alt (* (sqrt (log (/ 1 u1))) (* (pow (sqrt -1) 2) (sqrt 2)))>
#<alt (* (sqrt (log (/ 1 u1))) (* (pow (sqrt -1) 2) (sqrt 2)))>
#<alt (* (sqrt (log (/ 1 u1))) (* (pow (sqrt -1) 2) (sqrt 2)))>
#<alt (* (sqrt (log (/ 1 u1))) (* (pow (sqrt -1) 2) (sqrt 2)))>
#<alt (* (* (sqrt -1) (sqrt 2)) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))>
#<alt (* (* (sqrt -1) (sqrt 2)) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))>
#<alt (* (* (sqrt -1) (sqrt 2)) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))>
#<alt (* (* (sqrt -1) (sqrt 2)) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))>
#<alt (+ 1/2 (* 1/6 (* (sqrt (log u1)) (sqrt -2))))>
#<alt (+ 1/2 (* 1/6 (* (sqrt (log u1)) (sqrt -2))))>
#<alt (+ 1/2 (* 1/6 (* (sqrt (log u1)) (sqrt -2))))>
#<alt (+ 1/2 (* 1/6 (* (sqrt (log u1)) (sqrt -2))))>
#<alt (+ 1/2 (* 1/6 (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1)))))>
#<alt (+ 1/2 (* 1/6 (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1)))))>
#<alt (+ 1/2 (* 1/6 (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1)))))>
#<alt (+ 1/2 (* 1/6 (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1)))))>
#<alt (+ 1/2 (* 1/6 (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))))>
#<alt (+ 1/2 (* 1/6 (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))))>
#<alt (+ 1/2 (* 1/6 (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))))>
#<alt (+ 1/2 (* 1/6 (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))))>
#<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 (* (pow 4 1/4) (sqrt (log u1)))))>
#<alt (+ 1/2 (* 1/6 (* (pow 4 1/4) (sqrt (log u1)))))>
#<alt (+ 1/2 (* 1/6 (* (pow 4 1/4) (sqrt (log u1)))))>
#<alt (+ 1/2 (* 1/6 (* (pow 4 1/4) (sqrt (log u1)))))>
#<alt (+ 1/2 (* 1/6 (* (pow 4 1/4) (* (sqrt (log (/ 1 u1))) (sqrt -1)))))>
#<alt (+ 1/2 (* 1/6 (* (pow 4 1/4) (* (sqrt (log (/ 1 u1))) (sqrt -1)))))>
#<alt (+ 1/2 (* 1/6 (* (pow 4 1/4) (* (sqrt (log (/ 1 u1))) (sqrt -1)))))>
#<alt (+ 1/2 (* 1/6 (* (pow 4 1/4) (* (sqrt (log (/ 1 u1))) (sqrt -1)))))>
#<alt (+ 1/2 (* 1/6 (* (pow 4 1/4) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))))>
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#<alt (log u1)>
#<alt (log u1)>
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#<alt (* 4 (pow (log u1) 2))>
#<alt (* 4 (pow (log u1) 2))>
#<alt (* 4 (pow (log (/ 1 u1)) 2))>
#<alt (* 4 (pow (log (/ 1 u1)) 2))>
#<alt (* 4 (pow (log (/ 1 u1)) 2))>
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#<alt (log (* -2 (log u1)))>
#<alt (log (* -2 (log u1)))>
#<alt (log (* 2 (log (/ 1 u1))))>
#<alt (log (* 2 (log (/ 1 u1))))>
#<alt (log (* 2 (log (/ 1 u1))))>
#<alt (log (* 2 (log (/ 1 u1))))>
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#<alt (log (* -2 (+ (log -1) (* -1 (log (/ -1 u1))))))>
#<alt (log (* -2 (+ (log -1) (* -1 (log (/ -1 u1))))))>
#<alt (log (* -2 (+ (log -1) (* -1 (log (/ -1 u1))))))>
Calls

87 calls:

TimeVariablePointExpression
18.0ms
u1
@0
(log (* -2 (log u1)))
16.0ms
u1
@inf
(log (* -2 (log u1)))
16.0ms
u1
@-inf
(log (* -2 (log u1)))
1.0ms
u1
@0
(+ 1/2 (* (* 1/6 (* (sqrt (- 0 (log u1))) (sqrt 2))) (cos (* 2 (* (PI) u2)))))
1.0ms
u2
@inf
(+ 1/2 (* (* 1/6 (* (sqrt (- 0 (log u1))) (sqrt 2))) (cos (* 2 (* (PI) u2)))))

rewrite410.0ms (3.9%)

Algorithm
1×batch-egg-rewrite
Rules
3314×*-lowering-*.f32
3314×*-lowering-*.f64
2828×/-lowering-/.f32
2828×/-lowering-/.f64
1690×+-lowering-+.f64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
041217
1241201
21753182
08976182
Stop Event
1×iter limit
1×node limit
Counts
25 → 1028
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 (* (* 1/6 (pow (* (* -2 (log u1)) (* -2 (log u1))) 1/4)) 1))
(* (* 1/6 (pow (* (* -2 (log u1)) (* -2 (log u1))) 1/4)) 1)
(* 1/6 (pow (* (* -2 (log u1)) (* -2 (log u1))) 1/4))
(pow (* (* -2 (log u1)) (* -2 (log u1))) 1/4)
(+ 1/2 (* (* 1/6 (exp (* (log (* -2 (log u1))) 1/2))) (cos (* 2 (* (PI) u2)))))
(* (* 1/6 (exp (* (log (* -2 (log u1))) 1/2))) (cos (* 2 (* (PI) u2))))
(* 1/6 (exp (* (log (* -2 (log u1))) 1/2)))
(exp (* (log (* -2 (log u1))) 1/2))
(/ 1 (/ (- 1/2 (* 1/6 (sqrt (* -2 (log u1))))) (- 1/4 (pow (* 1/6 (sqrt (* -2 (log u1)))) 2))))
(/ (- 1/2 (* 1/6 (sqrt (* -2 (log u1))))) (- 1/4 (pow (* 1/6 (sqrt (* -2 (log u1)))) 2)))
(- 1/4 (pow (* 1/6 (sqrt (* -2 (log u1)))) 2))
(pow (* 1/6 (sqrt (* -2 (log u1)))) 2)
(* (PI) u2)
(sqrt (- 0 (log u1)))
(log u1)
(* (* -2 (log u1)) (* -2 (log u1)))
(log (* -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 (log.f64 u1) #s(literal -2 binary64))))))
(+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))) (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))))) #s(literal 1/2 binary64))
(-.f64 (/.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal -1/6 binary64)) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))))) (/.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 (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal -1/6 binary64)) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))))))
(-.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 #s(literal 1/6 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))) (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))))) #s(literal 1/2 binary64))) (/.f64 #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 (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))) (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))
(fma.f64 (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))) (*.f64 #s(literal 1/6 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))) #s(literal 1/2 binary64))
(fma.f64 (pow.f64 (*.f64 #s(literal 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))) #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))
(fma.f64 (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (log.f64 u1))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))) #s(literal 1/2 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/4 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 (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal 1/12 binary64)) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))))) (+.f64 #s(literal 1/8 binary64) (pow.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 3/2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal -1/6 binary64)) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))))) (-.f64 #s(literal 1/4 binary64) (*.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 binary64) (neg.f64 (/.f64 (+.f64 #s(literal 1/4 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 (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal 1/12 binary64)) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))))) (+.f64 #s(literal 1/8 binary64) (pow.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 3/2 binary64))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal -1/6 binary64)) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))))) (-.f64 #s(literal 1/4 binary64) (*.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 #s(literal 1/8 binary64) (pow.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 3/2 binary64))) (+.f64 #s(literal 1/4 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 (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal 1/12 binary64)) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))))))
(/.f64 (+.f64 #s(literal 1/8 binary64) (pow.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 3/2 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 1/4 binary64) (*.f64 (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal 1/12 binary64)) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))))))
(/.f64 (-.f64 #s(literal 1/4 binary64) (*.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 (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal -1/6 binary64)) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))))))
(/.f64 (neg.f64 (+.f64 #s(literal 1/8 binary64) (pow.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 3/2 binary64)))) (neg.f64 (+.f64 #s(literal 1/4 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 (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal 1/12 binary64)) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))))))))
(/.f64 (neg.f64 (+.f64 #s(literal 1/8 binary64) (pow.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 3/2 binary64)))) (neg.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 #s(literal 1/4 binary64) (*.f64 (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal 1/12 binary64)) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))))))))
(/.f64 (neg.f64 (-.f64 #s(literal 1/4 binary64) (*.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))))))))) (neg.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal -1/6 binary64)) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))))))
(/.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 #s(literal 1/6 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))) (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))))) #s(literal 1/2 binary64)))
(/.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal -1/6 binary64)) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal -1/6 binary64)) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))))) (*.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 #s(literal 1/2 binary64) (*.f64 (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal -1/6 binary64)) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))))) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal -1/6 binary64)) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))))))
(/.f64 (neg.f64 (neg.f64 (+.f64 #s(literal 1/8 binary64) (pow.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 3/2 binary64))))) (neg.f64 (neg.f64 (+.f64 #s(literal 1/4 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 (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal 1/12 binary64)) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))))))))
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 1/4 binary64) (*.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)))))))))) (neg.f64 (neg.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal -1/6 binary64)) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))))))))
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(/.f64 (pow.f64 (log.f64 u1) #s(literal 2 binary64)) (log.f64 u1))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 u1) #s(literal 2 binary64))) (-.f64 #s(literal 0 binary64) (log.f64 u1)))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 u1) #s(literal 2 binary64)))) (neg.f64 (-.f64 #s(literal 0 binary64) (log.f64 u1))))
(/.f64 (+.f64 #s(literal 0 binary64) (pow.f64 (log.f64 u1) #s(literal 3 binary64))) (pow.f64 (log.f64 u1) #s(literal 2 binary64)))
(/.f64 (neg.f64 (+.f64 #s(literal 0 binary64) (pow.f64 (log.f64 u1) #s(literal 3 binary64)))) (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 u1) #s(literal 2 binary64))))
(/.f64 (+.f64 (pow.f64 (log.f64 u1) #s(literal 3 binary64)) #s(literal 0 binary64)) (pow.f64 (log.f64 u1) #s(literal 2 binary64)))
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)))))
(exp.f64 (+.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)))) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)))) #s(literal 2 binary64))))
(pow.f64 (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal 4 binary64))
(pow.f64 (pow.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64))
(pow.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)) #s(literal 2 binary64))
(pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))))
(*.f64 (log.f64 u1) (*.f64 (log.f64 u1) #s(literal 4 binary64)))
(*.f64 #s(literal -2 binary64) (*.f64 (pow.f64 (log.f64 u1) #s(literal 2 binary64)) #s(literal -2 binary64)))
(*.f64 #s(literal -2 binary64) (exp.f64 (log.f64 (*.f64 (pow.f64 (log.f64 u1) #s(literal 2 binary64)) #s(literal -2 binary64)))))
(*.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)) (*.f64 (log.f64 u1) #s(literal -2 binary64)))
(*.f64 (pow.f64 (log.f64 u1) #s(literal 2 binary64)) #s(literal 4 binary64))
(*.f64 #s(literal 4 binary64) (pow.f64 (log.f64 u1) #s(literal 2 binary64)))
(*.f64 (*.f64 (log.f64 u1) #s(literal 4 binary64)) (log.f64 u1))
(*.f64 (*.f64 (pow.f64 (log.f64 u1) #s(literal 2 binary64)) #s(literal -2 binary64)) #s(literal -2 binary64))
(*.f64 (*.f64 #s(literal 4 binary64) (log.f64 u1)) (log.f64 u1))
(*.f64 (exp.f64 (log.f64 #s(literal 4 binary64))) (exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 (log.f64 u1)))))
(*.f64 (exp.f64 (log.f64 (*.f64 (log.f64 u1) #s(literal 4 binary64)))) (log.f64 u1))
(log.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)))
(+.f64 (log.f64 #s(literal -2 binary64)) (log.f64 (log.f64 u1)))
(+.f64 (log.f64 (log.f64 u1)) (log.f64 #s(literal -2 binary64)))
(-.f64 (/.f64 (pow.f64 (log.f64 #s(literal -2 binary64)) #s(literal 2 binary64)) (log.f64 (/.f64 #s(literal -2 binary64) (log.f64 u1)))) (/.f64 (pow.f64 (log.f64 (log.f64 u1)) #s(literal 2 binary64)) (log.f64 (/.f64 #s(literal -2 binary64) (log.f64 u1)))))
(/.f64 (+.f64 (pow.f64 (log.f64 #s(literal -2 binary64)) #s(literal 3 binary64)) (pow.f64 (log.f64 (log.f64 u1)) #s(literal 3 binary64))) (+.f64 (pow.f64 (log.f64 #s(literal -2 binary64)) #s(literal 2 binary64)) (-.f64 (pow.f64 (log.f64 (log.f64 u1)) #s(literal 2 binary64)) (*.f64 (log.f64 #s(literal -2 binary64)) (log.f64 (log.f64 u1))))))
(/.f64 (-.f64 (pow.f64 (log.f64 #s(literal -2 binary64)) #s(literal 2 binary64)) (pow.f64 (log.f64 (log.f64 u1)) #s(literal 2 binary64))) (log.f64 (/.f64 #s(literal -2 binary64) (log.f64 u1))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (log.f64 #s(literal -2 binary64)) #s(literal 3 binary64)) (pow.f64 (log.f64 (log.f64 u1)) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (log.f64 #s(literal -2 binary64)) #s(literal 2 binary64)) (-.f64 (pow.f64 (log.f64 (log.f64 u1)) #s(literal 2 binary64)) (*.f64 (log.f64 #s(literal -2 binary64)) (log.f64 (log.f64 u1)))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log.f64 #s(literal -2 binary64)) #s(literal 2 binary64)) (pow.f64 (log.f64 (log.f64 u1)) #s(literal 2 binary64)))) (neg.f64 (log.f64 (/.f64 #s(literal -2 binary64) (log.f64 u1)))))
(/.f64 (+.f64 (pow.f64 (log.f64 (log.f64 u1)) #s(literal 3 binary64)) (pow.f64 (log.f64 #s(literal -2 binary64)) #s(literal 3 binary64))) (+.f64 (pow.f64 (log.f64 (log.f64 u1)) #s(literal 2 binary64)) (-.f64 (pow.f64 (log.f64 #s(literal -2 binary64)) #s(literal 2 binary64)) (*.f64 (log.f64 (log.f64 u1)) (log.f64 #s(literal -2 binary64))))))

simplify359.0ms (3.4%)

Algorithm
1×egg-herbie
Rules
3958×*-lowering-*.f32
3958×*-lowering-*.f64
2658×+-lowering-+.f64
2658×+-lowering-+.f32
2018×fma-lowering-fma.f32
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01835084
15404582
219514430
338384384
472244384
081234384
Stop Event
1×iter limit
1×node limit
Counts
348 → 348
Calls
Call 1
Inputs
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (sqrt 2))) (sqrt (log u1)))))
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (sqrt 2))) (sqrt (log u1)))))
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (sqrt 2))) (sqrt (log u1)))))
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (sqrt 2))) (sqrt (log u1)))))
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (pow (sqrt -1) 2) (sqrt 2))) (sqrt (log (/ 1 u1))))))
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (pow (sqrt -1) 2) (sqrt 2))) (sqrt (log (/ 1 u1))))))
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (pow (sqrt -1) 2) (sqrt 2))) (sqrt (log (/ 1 u1))))))
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (pow (sqrt -1) 2) (sqrt 2))) (sqrt (log (/ 1 u1))))))
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (sqrt 2))) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))))
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (sqrt 2))) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))))
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (sqrt 2))) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))))
(+ 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)))))
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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)))) (* 1/9 (* (* (pow u2 2) (* (pow (PI) 4) (* (sqrt -1) (sqrt 2)))) (sqrt (log u1))))))))
(+ 1/2 (+ (* 1/6 (* (sqrt (log u1)) (* (sqrt -1) (sqrt 2)))) (* (pow u2 2) (+ (* -1/3 (* (* (pow (PI) 2) (* (sqrt -1) (sqrt 2))) (sqrt (log u1)))) (* (pow u2 2) (+ (* -2/135 (* (* (pow u2 2) (* (pow (PI) 6) (* (sqrt -1) (sqrt 2)))) (sqrt (log u1)))) (* 1/9 (* (* (pow (PI) 4) (* (sqrt -1) (sqrt 2))) (sqrt (log u1))))))))))
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (sqrt 2))) (sqrt (log u1)))))
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (sqrt 2))) (sqrt (log u1)))))
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (sqrt 2))) (sqrt (log u1)))))
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (sqrt 2))) (sqrt (log u1)))))
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (sqrt 2))) (sqrt (log u1)))))
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (sqrt 2))) (sqrt (log u1)))))
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (sqrt 2))) (sqrt (log u1)))))
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (sqrt 2))) (sqrt (log u1)))))
(* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (sqrt 2))) (sqrt (log u1))))
(* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (sqrt 2))) (sqrt (log u1))))
(* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (sqrt 2))) (sqrt (log u1))))
(* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (sqrt 2))) (sqrt (log u1))))
(* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (pow (sqrt -1) 2) (sqrt 2))) (sqrt (log (/ 1 u1)))))
(* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (pow (sqrt -1) 2) (sqrt 2))) (sqrt (log (/ 1 u1)))))
(* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (pow (sqrt -1) 2) (sqrt 2))) (sqrt (log (/ 1 u1)))))
(* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (pow (sqrt -1) 2) (sqrt 2))) (sqrt (log (/ 1 u1)))))
(* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (sqrt 2))) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))))
(* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (sqrt 2))) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))))
(* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (sqrt 2))) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))))
(* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (sqrt 2))) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))))
(* 1/6 (* (sqrt (log u1)) (* (sqrt -1) (sqrt 2))))
(+ (* -1/3 (* (* (pow u2 2) (* (pow (PI) 2) (* (sqrt -1) (sqrt 2)))) (sqrt (log u1)))) (* 1/6 (* (sqrt (log u1)) (* (sqrt -1) (sqrt 2)))))
(+ (* 1/6 (* (sqrt (log u1)) (* (sqrt -1) (sqrt 2)))) (* (pow u2 2) (+ (* -1/3 (* (* (pow (PI) 2) (* (sqrt -1) (sqrt 2))) (sqrt (log u1)))) (* 1/9 (* (* (pow u2 2) (* (pow (PI) 4) (* (sqrt -1) (sqrt 2)))) (sqrt (log u1)))))))
(+ (* 1/6 (* (sqrt (log u1)) (* (sqrt -1) (sqrt 2)))) (* (pow u2 2) (+ (* -1/3 (* (* (pow (PI) 2) (* (sqrt -1) (sqrt 2))) (sqrt (log u1)))) (* (pow u2 2) (+ (* -2/135 (* (* (pow u2 2) (* (pow (PI) 6) (* (sqrt -1) (sqrt 2)))) (sqrt (log u1)))) (* 1/9 (* (* (pow (PI) 4) (* (sqrt -1) (sqrt 2))) (sqrt (log u1)))))))))
(* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (sqrt 2))) (sqrt (log u1))))
(* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (sqrt 2))) (sqrt (log u1))))
(* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (sqrt 2))) (sqrt (log u1))))
(* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (sqrt 2))) (sqrt (log u1))))
(* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (sqrt 2))) (sqrt (log u1))))
(* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (sqrt 2))) (sqrt (log u1))))
(* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (sqrt 2))) (sqrt (log u1))))
(* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -1) (sqrt 2))) (sqrt (log u1))))
(* 1/6 (* (sqrt (log u1)) (* (sqrt -1) (sqrt 2))))
(* 1/6 (* (sqrt (log u1)) (* (sqrt -1) (sqrt 2))))
(* 1/6 (* (sqrt (log u1)) (* (sqrt -1) (sqrt 2))))
(* 1/6 (* (sqrt (log u1)) (* (sqrt -1) (sqrt 2))))
(* 1/6 (* (sqrt (log (/ 1 u1))) (* (pow (sqrt -1) 2) (sqrt 2))))
(* 1/6 (* (sqrt (log (/ 1 u1))) (* (pow (sqrt -1) 2) (sqrt 2))))
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(* 1/6 (* (* (sqrt -1) (sqrt 2)) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))))
(* 1/6 (* (* (sqrt -1) (sqrt 2)) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))))
(* 1/6 (* (* (sqrt -1) (sqrt 2)) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))))
(* (sqrt (log u1)) (* (sqrt -1) (sqrt 2)))
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(* (* (sqrt -1) (sqrt 2)) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))
(* (* (sqrt -1) (sqrt 2)) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))
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(* -2 (log u1))
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(* (pow 4 1/4) (sqrt (log u1)))
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(* (pow 4 1/4) (sqrt (log u1)))
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(* (pow 4 1/4) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))
(* (pow 4 1/4) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))
(* (pow 4 1/4) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))
(+ 1/2 (* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))))
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(+ (* 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)))))))))
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(* (sqrt (log u1)) (sqrt -2))
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(* (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))))))
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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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(/ (- 1/4 (* 1/36 (* (pow (sqrt -2) 2) (+ (log -1) (* -1 (log (/ -1 u1))))))) (- 1/2 (* 1/6 (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))))))
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(/ (- 1/2 (* 1/6 (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))))) (- 1/4 (* 1/36 (* (pow (sqrt -2) 2) (+ (log -1) (* -1 (log (/ -1 u1))))))))
(/ (- 1/2 (* 1/6 (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))))) (- 1/4 (* 1/36 (* (pow (sqrt -2) 2) (+ (log -1) (* -1 (log (/ -1 u1))))))))
(/ (- 1/2 (* 1/6 (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))))) (- 1/4 (* 1/36 (* (pow (sqrt -2) 2) (+ (log -1) (* -1 (log (/ -1 u1))))))))
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(* 1/36 (* (pow (sqrt -2) 2) (+ (log -1) (* -1 (log (/ -1 u1))))))
(* u2 (PI))
(* u2 (PI))
(* u2 (PI))
(* u2 (PI))
(* u2 (PI))
(* u2 (PI))
(* u2 (PI))
(* u2 (PI))
(* u2 (PI))
(* u2 (PI))
(* u2 (PI))
(* u2 (PI))
(* (sqrt (log u1)) (sqrt -1))
(* (sqrt (log u1)) (sqrt -1))
(* (sqrt (log u1)) (sqrt -1))
(* (sqrt (log u1)) (sqrt -1))
(* (sqrt (log (/ 1 u1))) (pow (sqrt -1) 2))
(* (sqrt (log (/ 1 u1))) (pow (sqrt -1) 2))
(* (sqrt (log (/ 1 u1))) (pow (sqrt -1) 2))
(* (sqrt (log (/ 1 u1))) (pow (sqrt -1) 2))
(* (sqrt -1) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))
(* (sqrt -1) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))
(* (sqrt -1) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))
(* (sqrt -1) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))
(log u1)
(log u1)
(log u1)
(log u1)
(* -1 (log (/ 1 u1)))
(* -1 (log (/ 1 u1)))
(* -1 (log (/ 1 u1)))
(* -1 (log (/ 1 u1)))
(+ (log -1) (* -1 (log (/ -1 u1))))
(+ (log -1) (* -1 (log (/ -1 u1))))
(+ (log -1) (* -1 (log (/ -1 u1))))
(+ (log -1) (* -1 (log (/ -1 u1))))
(* 4 (pow (log u1) 2))
(* 4 (pow (log u1) 2))
(* 4 (pow (log u1) 2))
(* 4 (pow (log u1) 2))
(* 4 (pow (log (/ 1 u1)) 2))
(* 4 (pow (log (/ 1 u1)) 2))
(* 4 (pow (log (/ 1 u1)) 2))
(* 4 (pow (log (/ 1 u1)) 2))
(* 4 (pow (+ (log -1) (* -1 (log (/ -1 u1)))) 2))
(* 4 (pow (+ (log -1) (* -1 (log (/ -1 u1)))) 2))
(* 4 (pow (+ (log -1) (* -1 (log (/ -1 u1)))) 2))
(* 4 (pow (+ (log -1) (* -1 (log (/ -1 u1)))) 2))
(log (* -2 (log u1)))
(log (* -2 (log u1)))
(log (* -2 (log u1)))
(log (* -2 (log u1)))
(log (* 2 (log (/ 1 u1))))
(log (* 2 (log (/ 1 u1))))
(log (* 2 (log (/ 1 u1))))
(log (* 2 (log (/ 1 u1))))
(log (* -2 (+ (log -1) (* -1 (log (/ -1 u1))))))
(log (* -2 (+ (log -1) (* -1 (log (/ -1 u1))))))
(log (* -2 (+ (log -1) (* -1 (log (/ -1 u1))))))
(log (* -2 (+ (log -1) (* -1 (log (/ -1 u1))))))
Outputs
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(*.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) u1))) #s(literal -1/18 binary64))
(* 1/36 (* (pow (sqrt -2) 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 -1/18 binary64))
(* u2 (PI))
(*.f64 u2 (PI.f64))
(* u2 (PI))
(*.f64 u2 (PI.f64))
(* u2 (PI))
(*.f64 u2 (PI.f64))
(* u2 (PI))
(*.f64 u2 (PI.f64))
(* u2 (PI))
(*.f64 u2 (PI.f64))
(* u2 (PI))
(*.f64 u2 (PI.f64))
(* u2 (PI))
(*.f64 u2 (PI.f64))
(* u2 (PI))
(*.f64 u2 (PI.f64))
(* u2 (PI))
(*.f64 u2 (PI.f64))
(* u2 (PI))
(*.f64 u2 (PI.f64))
(* u2 (PI))
(*.f64 u2 (PI.f64))
(* u2 (PI))
(*.f64 u2 (PI.f64))
(* (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 (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)))))
(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)))
(* 4 (pow (log u1) 2))
(*.f64 #s(literal 4 binary64) (pow.f64 (log.f64 u1) #s(literal 2 binary64)))
(* 4 (pow (log u1) 2))
(*.f64 #s(literal 4 binary64) (pow.f64 (log.f64 u1) #s(literal 2 binary64)))
(* 4 (pow (log u1) 2))
(*.f64 #s(literal 4 binary64) (pow.f64 (log.f64 u1) #s(literal 2 binary64)))
(* 4 (pow (log u1) 2))
(*.f64 #s(literal 4 binary64) (pow.f64 (log.f64 u1) #s(literal 2 binary64)))
(* 4 (pow (log (/ 1 u1)) 2))
(*.f64 #s(literal 4 binary64) (pow.f64 (log.f64 u1) #s(literal 2 binary64)))
(* 4 (pow (log (/ 1 u1)) 2))
(*.f64 #s(literal 4 binary64) (pow.f64 (log.f64 u1) #s(literal 2 binary64)))
(* 4 (pow (log (/ 1 u1)) 2))
(*.f64 #s(literal 4 binary64) (pow.f64 (log.f64 u1) #s(literal 2 binary64)))
(* 4 (pow (log (/ 1 u1)) 2))
(*.f64 #s(literal 4 binary64) (pow.f64 (log.f64 u1) #s(literal 2 binary64)))
(* 4 (pow (+ (log -1) (* -1 (log (/ -1 u1)))) 2))
(*.f64 #s(literal 4 binary64) (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) u1))) #s(literal 2 binary64)))
(* 4 (pow (+ (log -1) (* -1 (log (/ -1 u1)))) 2))
(*.f64 #s(literal 4 binary64) (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) u1))) #s(literal 2 binary64)))
(* 4 (pow (+ (log -1) (* -1 (log (/ -1 u1)))) 2))
(*.f64 #s(literal 4 binary64) (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) u1))) #s(literal 2 binary64)))
(* 4 (pow (+ (log -1) (* -1 (log (/ -1 u1)))) 2))
(*.f64 #s(literal 4 binary64) (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) u1))) #s(literal 2 binary64)))
(log (* -2 (log u1)))
(log.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)))
(log (* -2 (log u1)))
(log.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)))
(log (* -2 (log u1)))
(log.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)))
(log (* -2 (log u1)))
(log.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)))
(log (* 2 (log (/ 1 u1))))
(log.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)))
(log (* 2 (log (/ 1 u1))))
(log.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)))
(log (* 2 (log (/ 1 u1))))
(log.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)))
(log (* 2 (log (/ 1 u1))))
(log.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)))
(log (* -2 (+ (log -1) (* -1 (log (/ -1 u1))))))
(log.f64 (*.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) u1))) #s(literal -2 binary64)))
(log (* -2 (+ (log -1) (* -1 (log (/ -1 u1))))))
(log.f64 (*.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) u1))) #s(literal -2 binary64)))
(log (* -2 (+ (log -1) (* -1 (log (/ -1 u1))))))
(log.f64 (*.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) u1))) #s(literal -2 binary64)))
(log (* -2 (+ (log -1) (* -1 (log (/ -1 u1))))))
(log.f64 (*.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) u1))) #s(literal -2 binary64)))

eval352.0ms (3.3%)

Compiler

Compiled 51002 to 4022 computations (92.1% saved)

prune177.0ms (1.7%)

Pruning

13 alts after pruning (12 fresh and 1 done)

PrunedKeptTotal
New1909111920
Fresh718
Picked415
Done000
Total1920131933
Accuracy
100.0%
Counts
1933 → 13
Alt Table
Click to see full alt table
StatusAccuracyProgram
98.4%
(/.f64 (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal -1/36 binary64) (*.f64 (log.f64 u1) #s(literal -2 binary64)))) (+.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal -1/6 binary64))))
98.3%
(/.f64 #s(literal 1 binary64) (/.f64 (-.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 1/4 binary64) (*.f64 (log.f64 u1) #s(literal -1/18 binary64)))))
▶98.6%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (pow.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal 1/2 binary64)))))
98.8%
(+.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))
98.1%
(+.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))
98.6%
(+.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 (pow.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)) #s(literal 2 binary64)) #s(literal 1/4 binary64))) #s(literal 1/2 binary64))
▶98.3%
(+.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))
▶98.6%
(+.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)) #s(literal 1/2 binary64))) #s(literal 1/2 binary64))
▶99.5%
(+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))))) #s(literal 1/2 binary64))
✓98.6%
(+.f64 (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)))) #s(literal 1/2 binary64))
98.1%
(+.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))
▶99.7%
(+.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)))))
98.3%
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal -1/6 binary64)))) (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal -1/36 binary64) (*.f64 (log.f64 u1) #s(literal -2 binary64)))))
Compiler

Compiled 399 to 338 computations (15.3% saved)

simplify14.0ms (0.1%)

Algorithm
1×egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)))
✓cost-diff0
(*.f64 (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 1/6 binary64) (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))))
✓cost-diff0
(+.f64 (*.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))
✓cost-diff0
(pow.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)) #s(literal 1/4 binary64))
✓cost-diff6528
(pow.f64 (pow.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)) #s(literal 1/4 binary64)) #s(literal 2 binary64))
✓cost-diff6528
(*.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)))
✓cost-diff6528
(+.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))
✓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 #s(literal 1/2 binary64) (pow.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal 1/2 binary64)))
✓cost-diff192
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (pow.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal 1/2 binary64))))
✓cost-diff448
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (pow.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal 1/2 binary64)))))
✓cost-diff0
(*.f64 (log.f64 u1) #s(literal -2 binary64))
✓cost-diff64
(pow.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)) #s(literal 1/2 binary64))
✓cost-diff64
(*.f64 #s(literal 1/6 binary64) (pow.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)) #s(literal 1/2 binary64)))
✓cost-diff64
(+.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)) #s(literal 1/2 binary64))) #s(literal 1/2 binary64))
✓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
166×*-lowering-*.f32
166×*-lowering-*.f64
66×fma-define
60×associate-*r*
56×associate-*l*
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
034263
168244
2111244
3144244
4171244
5175244
6203244
7207244
8209244
0209244
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
(+ (* 1/6 (pow (* (log u1) -2) 1/2)) 1/2)
(* 1/6 (pow (* (log u1) -2) 1/2))
1/6
(pow (* (log u1) -2) 1/2)
(* (log u1) -2)
(log u1)
u1
-2
1/2
(/ 1 (/ 1 (+ 1/2 (pow (* 1/36 (* (log u1) -2)) 1/2))))
1
(/ 1 (+ 1/2 (pow (* 1/36 (* (log u1) -2)) 1/2)))
(+ 1/2 (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
(+ (* 1/6 (pow (pow (* (log u1) -2) 1/4) 2)) 1/2)
(* 1/6 (pow (pow (* (log u1) -2) 1/4) 2))
1/6
(pow (pow (* (log u1) -2) 1/4) 2)
(pow (* (log u1) -2) 1/4)
(* (log u1) -2)
(log u1)
u1
-2
1/4
2
1/2
(+ (* 1/6 (* (sqrt (* -2 (log u1))) (cos (* 2 (* (PI) u2))))) 1/2)
(* 1/6 (* (sqrt (* -2 (log u1))) (cos (* 2 (* (PI) u2)))))
1/6
(* (sqrt (* -2 (log u1))) (cos (* 2 (* (PI) u2))))
(sqrt (* -2 (log u1)))
(* -2 (log u1))
-2
(log u1)
u1
(cos (* 2 (* (PI) u2)))
(* 2 (* (PI) u2))
2
(* (PI) u2)
(PI)
u2
1/2
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
(+ (* 1/6 (pow (* (log u1) -2) 1/2)) 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 (pow (* (log u1) -2) 1/2))
(*.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))))
1/6
#s(literal 1/6 binary64)
(pow (* (log u1) -2) 1/2)
(sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)))
(* (log u1) -2)
(*.f64 (log.f64 u1) #s(literal -2 binary64))
(log u1)
(log.f64 u1)
u1
-2
#s(literal -2 binary64)
1/2
#s(literal 1/2 binary64)
(/ 1 (/ 1 (+ 1/2 (pow (* 1/36 (* (log u1) -2)) 1/2))))
(+.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -1/18 binary64))))
1
#s(literal 1 binary64)
(/ 1 (+ 1/2 (pow (* 1/36 (* (log u1) -2)) 1/2)))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -1/18 binary64)))))
(+ 1/2 (pow (* 1/36 (* (log u1) -2)) 1/2))
(+.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -1/18 binary64))))
1/2
#s(literal 1/2 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)
(+ (* 1/6 (pow (pow (* (log u1) -2) 1/4) 2)) 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 (pow (pow (* (log u1) -2) 1/4) 2))
(*.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))))
1/6
#s(literal 1/6 binary64)
(pow (pow (* (log u1) -2) 1/4) 2)
(sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)))
(pow (* (log u1) -2) 1/4)
(pow.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)) #s(literal 1/4 binary64))
(* (log u1) -2)
(*.f64 (log.f64 u1) #s(literal -2 binary64))
(log u1)
(log.f64 u1)
u1
-2
#s(literal -2 binary64)
1/4
#s(literal 1/4 binary64)
2
#s(literal 2 binary64)
1/2
#s(literal 1/2 binary64)
(+ (* 1/6 (* (sqrt (* -2 (log u1))) (cos (* 2 (* (PI) u2))))) 1/2)
(+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))))))
(* 1/6 (* (sqrt (* -2 (log u1))) (cos (* 2 (* (PI) u2)))))
(*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)))))
1/6
#s(literal 1/6 binary64)
(* (sqrt (* -2 (log u1))) (cos (* 2 (* (PI) u2))))
(*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))) (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))))
(sqrt (* -2 (log u1)))
(sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)))
(* -2 (log u1))
(*.f64 (log.f64 u1) #s(literal -2 binary64))
-2
#s(literal -2 binary64)
(log u1)
(log.f64 u1)
u1
(cos (* 2 (* (PI) u2)))
(cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))
(* 2 (* (PI) u2))
(*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))
2
#s(literal 2 binary64)
(* (PI) u2)
(*.f64 (PI.f64) u2)
(PI)
(PI.f64)
u2
1/2
#s(literal 1/2 binary64)

localize200.0ms (1.9%)

Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
✓accuracy99.9%
(+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))))) #s(literal 1/2 binary64))
✓accuracy99.8%
(sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)))
✓accuracy99.6%
(*.f64 (PI.f64) u2)
✓accuracy99.4%
(*.f64 #s(literal 1/6 binary64) (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))))
✓accuracy99.9%
(+.f64 (*.f64 #s(literal 1/6 binary64) (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))
✓accuracy99.9%
(pow.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)) #s(literal 1/4 binary64))
✓accuracy99.4%
(*.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)))
✓accuracy99.2%
(pow.f64 (pow.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)) #s(literal 1/4 binary64)) #s(literal 2 binary64))
✓accuracy99.8%
(pow.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal 1/2 binary64))
✓accuracy99.6%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (pow.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal 1/2 binary64)))))
✓accuracy99.6%
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (pow.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal 1/2 binary64))))
✓accuracy99.4%
(*.f64 #s(literal 1/36 binary64) (*.f64 (log.f64 u1) #s(literal -2 binary64)))
✓accuracy100.0%
(log.f64 u1)
✓accuracy99.9%
(+.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)) #s(literal 1/2 binary64))) #s(literal 1/2 binary64))
✓accuracy99.8%
(pow.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)) #s(literal 1/2 binary64))
✓accuracy99.4%
(*.f64 #s(literal 1/6 binary64) (pow.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)) #s(literal 1/2 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)))))
✓accuracy99.8%
(pow.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal 1/2 binary64))
✓accuracy99.6%
(*.f64 (PI.f64) u2)
✓accuracy99.4%
(*.f64 #s(literal 1/36 binary64) (*.f64 (log.f64 u1) #s(literal -2 binary64)))
Results
131.0ms256×0valid
Compiler

Compiled 293 to 35 computations (88.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 77.0ms
ival-pow: 27.0ms (34.9% of total)
ival-mult: 18.0ms (23.2% of total)
...c/correct-round.rkt:119:19: 11.0ms (14.2% of total)
ival-add: 6.0ms (7.7% of total)
ival-div: 4.0ms (5.2% of total)
ival-log: 4.0ms (5.2% of total)
ival-cos: 2.0ms (2.6% of total)
ival-sqrt: 2.0ms (2.6% of total)
ival-pi: 1.0ms (1.3% of total)
const: 1.0ms (1.3% of total)
backward-pass: 0.0ms (0% of total)

series67.0ms (0.6%)

Counts
21 → 312
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 (+ (* 1/6 (pow (* (log u1) -2) 1/2)) 1/2)>
#<alt (* 1/6 (pow (* (log u1) -2) 1/2))>
#<alt (pow (* (log u1) -2) 1/2)>
#<alt (* (log u1) -2)>
#<alt (/ 1 (/ 1 (+ 1/2 (pow (* 1/36 (* (log u1) -2)) 1/2))))>
#<alt (/ 1 (+ 1/2 (pow (* 1/36 (* (log u1) -2)) 1/2)))>
#<alt (+ 1/2 (pow (* 1/36 (* (log u1) -2)) 1/2))>
#<alt (+ (* 1/6 (pow (pow (* (log u1) -2) 1/4) 2)) 1/2)>
#<alt (* 1/6 (pow (pow (* (log u1) -2) 1/4) 2))>
#<alt (pow (pow (* (log u1) -2) 1/4) 2)>
#<alt (pow (* (log u1) -2) 1/4)>
#<alt (+ (* 1/6 (* (sqrt (* -2 (log u1))) (cos (* 2 (* (PI) u2))))) 1/2)>
#<alt (* 1/6 (* (sqrt (* -2 (log u1))) (cos (* 2 (* (PI) u2)))))>
#<alt (* (sqrt (* -2 (log u1))) (cos (* 2 (* (PI) u2))))>
#<alt (sqrt (* -2 (log u1)))>
#<alt (* (PI) u2)>
#<alt (log u1)>
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 (* 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 (* -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 (* (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 (/ 1 (+ 1/2 (* (sqrt (log u1)) (sqrt -1/18))))>
#<alt (/ 1 (+ 1/2 (* (sqrt (log u1)) (sqrt -1/18))))>
#<alt (/ 1 (+ 1/2 (* (sqrt (log u1)) (sqrt -1/18))))>
#<alt (/ 1 (+ 1/2 (* (sqrt (log u1)) (sqrt -1/18))))>
#<alt (/ 1 (+ 1/2 (* (sqrt (log (/ 1 u1))) (sqrt 1/18))))>
#<alt (/ 1 (+ 1/2 (* (sqrt (log (/ 1 u1))) (sqrt 1/18))))>
#<alt (/ 1 (+ 1/2 (* (sqrt (log (/ 1 u1))) (sqrt 1/18))))>
#<alt (/ 1 (+ 1/2 (* (sqrt (log (/ 1 u1))) (sqrt 1/18))))>
#<alt (/ 1 (+ 1/2 (* (sqrt -1/18) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))))>
#<alt (/ 1 (+ 1/2 (* (sqrt -1/18) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))))>
#<alt (/ 1 (+ 1/2 (* (sqrt -1/18) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))))>
#<alt (/ 1 (+ 1/2 (* (sqrt -1/18) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))))>
#<alt (+ 1/2 (* (sqrt (log u1)) (sqrt -1/18)))>
#<alt (+ 1/2 (* (sqrt (log u1)) (sqrt -1/18)))>
#<alt (+ 1/2 (* (sqrt (log u1)) (sqrt -1/18)))>
#<alt (+ 1/2 (* (sqrt (log u1)) (sqrt -1/18)))>
#<alt (+ 1/2 (* (sqrt (log (/ 1 u1))) (sqrt 1/18)))>
#<alt (+ 1/2 (* (sqrt (log (/ 1 u1))) (sqrt 1/18)))>
#<alt (+ 1/2 (* (sqrt (log (/ 1 u1))) (sqrt 1/18)))>
#<alt (+ 1/2 (* (sqrt (log (/ 1 u1))) (sqrt 1/18)))>
#<alt (+ 1/2 (* (sqrt -1/18) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))))>
#<alt (+ 1/2 (* (sqrt -1/18) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))))>
#<alt (+ 1/2 (* (sqrt -1/18) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))))>
#<alt (+ 1/2 (* (sqrt -1/18) (sqrt (+ (log -1) (* -1 (log (/ -1 u1)))))))>
#<alt (+ 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)) 1/4)>
#<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 (+ 1/2 (* 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 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))>
#<alt (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))>
#<alt (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))>
#<alt (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))>
#<alt (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -2) (sqrt -1))) (sqrt (log (/ 1 u1))))>
#<alt (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -2) (sqrt -1))) (sqrt (log (/ 1 u1))))>
#<alt (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -2) (sqrt -1))) (sqrt (log (/ 1 u1))))>
#<alt (* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -2) (sqrt -1))) (sqrt (log (/ 1 u1))))>
#<alt (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))>
#<alt (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))>
#<alt (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))>
#<alt (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))>
#<alt (* (sqrt (log u1)) (sqrt -2))>
#<alt (+ (* -2 (* (* (pow u2 2) (* (pow (PI) 2) (sqrt -2))) (sqrt (log u1)))) (* (sqrt (log u1)) (sqrt -2)))>
#<alt (+ (* (sqrt (log u1)) (sqrt -2)) (* (pow u2 2) (+ (* -2 (* (* (pow (PI) 2) (sqrt -2)) (sqrt (log u1)))) (* 2/3 (* (* (pow u2 2) (* (pow (PI) 4) (sqrt -2))) (sqrt (log u1)))))))>
#<alt (+ (* (sqrt (log u1)) (sqrt -2)) (* (pow u2 2) (+ (* -2 (* (* (pow (PI) 2) (sqrt -2)) (sqrt (log u1)))) (* (pow u2 2) (+ (* -4/45 (* (* (pow u2 2) (* (pow (PI) 6) (sqrt -2))) (sqrt (log u1)))) (* 2/3 (* (* (pow (PI) 4) (sqrt -2)) (sqrt (log u1)))))))))>
#<alt (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))>
#<alt (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))>
#<alt (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))>
#<alt (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))>
#<alt (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))>
#<alt (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))>
#<alt (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))>
#<alt (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))>
#<alt (* (sqrt (log u1)) (sqrt -2))>
#<alt (* (sqrt (log u1)) (sqrt -2))>
#<alt (* (sqrt (log u1)) (sqrt -2))>
#<alt (* (sqrt (log u1)) (sqrt -2))>
#<alt (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1)))>
#<alt (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1)))>
#<alt (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1)))>
#<alt (* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1)))>
#<alt (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))>
#<alt (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))>
#<alt (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))>
#<alt (* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))>
#<alt (* u2 (PI))>
#<alt (* u2 (PI))>
#<alt (* u2 (PI))>
#<alt (* u2 (PI))>
#<alt (* u2 (PI))>
#<alt (* u2 (PI))>
#<alt (* u2 (PI))>
#<alt (* u2 (PI))>
#<alt (* u2 (PI))>
#<alt (* u2 (PI))>
#<alt (* u2 (PI))>
#<alt (* u2 (PI))>
#<alt (log u1)>
#<alt (log u1)>
#<alt (log u1)>
#<alt (log u1)>
#<alt (* -1 (log (/ 1 u1)))>
#<alt (* -1 (log (/ 1 u1)))>
#<alt (* -1 (log (/ 1 u1)))>
#<alt (* -1 (log (/ 1 u1)))>
#<alt (+ (log -1) (* -1 (log (/ -1 u1))))>
#<alt (+ (log -1) (* -1 (log (/ -1 u1))))>
#<alt (+ (log -1) (* -1 (log (/ -1 u1))))>
#<alt (+ (log -1) (* -1 (log (/ -1 u1))))>
Calls

78 calls:

TimeVariablePointExpression
51.0ms
u1
@-inf
(/ 1 (+ 1/2 (pow (* 1/36 (* (log u1) -2)) 1/2)))
2.0ms
u2
@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)))))
0.0ms
u2
@-inf
(+ 1/2 (* (pow (* 1/36 (* (log u1) -2)) 1/2) (cos (* 2 (* (PI) u2)))))

rewrite405.0ms (3.8%)

Algorithm
1×batch-egg-rewrite
Rules
5504×*-lowering-*.f32
5504×*-lowering-*.f64
1792×/-lowering-/.f32
1792×/-lowering-/.f64
1788×+-lowering-+.f64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
034171
1194147
21170147
08876147
Stop Event
1×iter limit
1×node limit
Counts
21 → 1088
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))
(+ (* 1/6 (pow (* (log u1) -2) 1/2)) 1/2)
(* 1/6 (pow (* (log u1) -2) 1/2))
(pow (* (log u1) -2) 1/2)
(* (log u1) -2)
(/ 1 (/ 1 (+ 1/2 (pow (* 1/36 (* (log u1) -2)) 1/2))))
(/ 1 (+ 1/2 (pow (* 1/36 (* (log u1) -2)) 1/2)))
(+ 1/2 (pow (* 1/36 (* (log u1) -2)) 1/2))
(+ (* 1/6 (pow (pow (* (log u1) -2) 1/4) 2)) 1/2)
(* 1/6 (pow (pow (* (log u1) -2) 1/4) 2))
(pow (pow (* (log u1) -2) 1/4) 2)
(pow (* (log u1) -2) 1/4)
(+ (* 1/6 (* (sqrt (* -2 (log u1))) (cos (* 2 (* (PI) u2))))) 1/2)
(* 1/6 (* (sqrt (* -2 (log u1))) (cos (* 2 (* (PI) u2)))))
(* (sqrt (* -2 (log u1))) (cos (* 2 (* (PI) u2))))
(sqrt (* -2 (log u1)))
(* (PI) u2)
(log u1)
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))
(+.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))) (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -1/18 binary64)))))) (neg.f64 (/.f64 (*.f64 (*.f64 (log.f64 u1) #s(literal -1/18 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))))))) (-.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 (*.f64 (*.f64 (log.f64 u1) #s(literal -1/18 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))))))) (+.f64 (*.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))) (neg.f64 (/.f64 #s(literal 1/4 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 (/.f64 #s(literal 1/4 binary64) (-.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 (*.f64 (log.f64 u1) #s(literal -1/18 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))))))) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))) (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -1/18 binary64)))))))
(-.f64 (/.f64 (*.f64 (*.f64 (log.f64 u1) #s(literal -1/18 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))))))) (+.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 1/4 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))))
(fma.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))
(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 (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 (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))) (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))) #s(literal 1/6 binary64)) #s(literal 1/2 binary64))
(fma.f64 (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -1/18 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 (pow.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 1/4 binary64)) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))) #s(literal 1/2 binary64))
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(pow.f64 (pow.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)) #s(literal 2 binary64)) #s(literal 1/4 binary64))
(pow.f64 (*.f64 (pow.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)) #s(literal 2 binary64)) (pow.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)) #s(literal 2 binary64))) #s(literal 1/8 binary64))
(pow.f64 (exp.f64 #s(literal 1/2 binary64)) (log.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))))
(pow.f64 (exp.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1/4 binary64) (log.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)))))
(*.f64 (pow.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)) #s(literal 1/4 binary64)) (pow.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (log.f64 u1) #s(literal 1/4 binary64)) (pow.f64 (*.f64 #s(literal -2 binary64) (*.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (log.f64 u1) #s(literal 1/4 binary64)) (pow.f64 (pow.f64 (*.f64 #s(literal -2 binary64) (*.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal 1/4 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (log.f64 u1) #s(literal 1/2 binary64)) (sqrt.f64 #s(literal -2 binary64)))
(*.f64 (sqrt.f64 #s(literal -2 binary64)) (pow.f64 (log.f64 u1) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)) #s(literal 1/8 binary64)) (pow.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)) #s(literal 3/8 binary64)))
(*.f64 (pow.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)) #s(literal 1/8 binary64)) (pow.f64 (pow.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)) #s(literal 3/8 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (*.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)) (log.f64 u1)) #s(literal 1/4 binary64)) (pow.f64 #s(literal -2 binary64) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)) #s(literal 3/8 binary64)) (pow.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)) #s(literal 1/8 binary64)))
(*.f64 (pow.f64 (*.f64 #s(literal -2 binary64) (*.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal 1/4 binary64)) (pow.f64 (log.f64 u1) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (pow.f64 (log.f64 u1) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (pow.f64 (sqrt.f64 #s(literal -2 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (sqrt.f64 #s(literal -2 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 (log.f64 u1) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (pow.f64 (*.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)) (log.f64 u1)) #s(literal 1/4 binary64)) #s(literal 1 binary64)) (pow.f64 #s(literal -2 binary64) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (pow.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)) #s(literal 3/8 binary64)) #s(literal 1 binary64)) (pow.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)) #s(literal 1/8 binary64)))
(*.f64 (*.f64 (pow.f64 (log.f64 u1) #s(literal 1/2 binary64)) (pow.f64 #s(literal -2 binary64) #s(literal 1/4 binary64))) (pow.f64 #s(literal -2 binary64) #s(literal 1/4 binary64)))
(*.f64 (*.f64 (pow.f64 (*.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)) (log.f64 u1)) #s(literal 1/4 binary64)) (pow.f64 #s(literal -2 binary64) #s(literal 1/8 binary64))) (pow.f64 #s(literal -2 binary64) #s(literal 1/8 binary64)))
(*.f64 (*.f64 (pow.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)) #s(literal 3/8 binary64)) (pow.f64 (log.f64 u1) #s(literal 1/8 binary64))) (pow.f64 #s(literal -2 binary64) #s(literal 1/8 binary64)))
(*.f64 (*.f64 (pow.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)) #s(literal 3/8 binary64)) (pow.f64 #s(literal -2 binary64) #s(literal 1/8 binary64))) (pow.f64 (log.f64 u1) #s(literal 1/8 binary64)))
(*.f64 (*.f64 (pow.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)) #s(literal 3/8 binary64)) (pow.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)) #s(literal 1/16 binary64))) (pow.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)) #s(literal 1/16 binary64)))
(*.f64 (PI.f64) u2)
(*.f64 u2 (PI.f64))
(*.f64 (*.f64 (PI.f64) u2) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (*.f64 (PI.f64) u2))
(*.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (*.f64 (cbrt.f64 (PI.f64)) u2))
(*.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) u2))
(*.f64 (*.f64 u2 (pow.f64 (PI.f64) #s(literal 2/3 binary64))) (cbrt.f64 (PI.f64)))
(*.f64 (*.f64 u2 (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)))
(*.f64 (*.f64 u2 (cbrt.f64 (PI.f64))) (pow.f64 (PI.f64) #s(literal 2/3 binary64)))
(*.f64 (*.f64 #s(literal 1 binary64) u2) (PI.f64))
(*.f64 (*.f64 #s(literal 1 binary64) (*.f64 u2 (pow.f64 (PI.f64) #s(literal 2/3 binary64)))) (cbrt.f64 (PI.f64)))
(*.f64 (*.f64 #s(literal 1 binary64) (*.f64 u2 (sqrt.f64 (PI.f64)))) (sqrt.f64 (PI.f64)))
(*.f64 (*.f64 (*.f64 u2 (pow.f64 (PI.f64) #s(literal 2/3 binary64))) #s(literal 1 binary64)) (cbrt.f64 (PI.f64)))
(*.f64 (*.f64 (*.f64 u2 (pow.f64 (PI.f64) #s(literal 2/3 binary64))) (pow.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) #s(literal 1/3 binary64))) (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 1/3 binary64)))
(*.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)))
(log.f64 u1)

simplify295.0ms (2.8%)

Algorithm
1×egg-herbie
Rules
2680×*-lowering-*.f32
2680×*-lowering-*.f64
2228×sum4-define
2072×fma-lowering-fma.f32
2072×fma-lowering-fma.f64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01624004
14603783
216473724
335283699
450503699
556863699
659763699
763403699
867043699
974103699
081263699
Stop Event
1×iter limit
1×node limit
Counts
312 → 312
Calls
Call 1
Inputs
(+ 1/2 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -1/18)) (sqrt (log u1))))
(+ 1/2 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -1/18)) (sqrt (log u1))))
(+ 1/2 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -1/18)) (sqrt (log u1))))
(+ 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 (+ (* (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))))))))))
(+ 1/2 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -1/18)) (sqrt (log 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))))
(+ 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)))
(* (* (cos (* 2 (* u2 (PI)))) (sqrt -1/18)) (sqrt (log u1)))
(* (* (cos (* 2 (* u2 (PI)))) (sqrt -1/18)) (sqrt (log u1)))
(* (* (cos (* 2 (* u2 (PI)))) (sqrt -1/18)) (sqrt (log 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) (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)))
(+ (* (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)))))))
(+ (* (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)))))))))
(* (* (cos (* 2 (* u2 (PI)))) (sqrt -1/18)) (sqrt (log u1)))
(* (* (cos (* 2 (* u2 (PI)))) (sqrt -1/18)) (sqrt (log u1)))
(* (* (cos (* 2 (* u2 (PI)))) (sqrt -1/18)) (sqrt (log u1)))
(* (* (cos (* 2 (* u2 (PI)))) (sqrt -1/18)) (sqrt (log u1)))
(* (* (cos (* 2 (* u2 (PI)))) (sqrt -1/18)) (sqrt (log u1)))
(* (* (cos (* 2 (* u2 (PI)))) (sqrt -1/18)) (sqrt (log u1)))
(* (* (cos (* 2 (* u2 (PI)))) (sqrt -1/18)) (sqrt (log u1)))
(* (* (cos (* 2 (* u2 (PI)))) (sqrt -1/18)) (sqrt (log u1)))
(* (sqrt (log u1)) (sqrt -1/18))
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(* (sqrt (log u1)) (sqrt -1/18))
(* (sqrt (log (/ 1 u1))) (sqrt 1/18))
(* (sqrt (log (/ 1 u1))) (sqrt 1/18))
(* (sqrt (log (/ 1 u1))) (sqrt 1/18))
(* (sqrt (log (/ 1 u1))) (sqrt 1/18))
(* (sqrt -1/18) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))
(* (sqrt -1/18) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))
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(* (sqrt -1/18) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))
(* -1/18 (log u1))
(* -1/18 (log u1))
(* -1/18 (log u1))
(* -1/18 (log u1))
(* 1/18 (log (/ 1 u1)))
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(* (sqrt (log (/ 1 u1))) (sqrt 2))
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(* (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)) 1/4)
(pow (* -2 (log u1)) 1/4)
(pow (* -2 (log u1)) 1/4)
(pow (* -2 (log u1)) 1/4)
(pow (* 2 (log (/ 1 u1))) 1/4)
(pow (* 2 (log (/ 1 u1))) 1/4)
(pow (* 2 (log (/ 1 u1))) 1/4)
(pow (* 2 (log (/ 1 u1))) 1/4)
(pow (* -2 (+ (log -1) (* -1 (log (/ -1 u1))))) 1/4)
(pow (* -2 (+ (log -1) (* -1 (log (/ -1 u1))))) 1/4)
(pow (* -2 (+ (log -1) (* -1 (log (/ -1 u1))))) 1/4)
(pow (* -2 (+ (log -1) (* -1 (log (/ -1 u1))))) 1/4)
(+ 1/2 (* 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)))))
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(+ 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)))))
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(* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1))))
(* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1))))
(* 1/6 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1))))
(* 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)))
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(+ (* 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))))
(* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))
(* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))
(* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))
(* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))
(* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -2) (sqrt -1))) (sqrt (log (/ 1 u1))))
(* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -2) (sqrt -1))) (sqrt (log (/ 1 u1))))
(* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -2) (sqrt -1))) (sqrt (log (/ 1 u1))))
(* (* (cos (* 2 (* u2 (PI)))) (* (sqrt -2) (sqrt -1))) (sqrt (log (/ 1 u1))))
(* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))
(* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))
(* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))
(* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))
(* (sqrt (log u1)) (sqrt -2))
(+ (* -2 (* (* (pow u2 2) (* (pow (PI) 2) (sqrt -2))) (sqrt (log u1)))) (* (sqrt (log u1)) (sqrt -2)))
(+ (* (sqrt (log u1)) (sqrt -2)) (* (pow u2 2) (+ (* -2 (* (* (pow (PI) 2) (sqrt -2)) (sqrt (log u1)))) (* 2/3 (* (* (pow u2 2) (* (pow (PI) 4) (sqrt -2))) (sqrt (log u1)))))))
(+ (* (sqrt (log u1)) (sqrt -2)) (* (pow u2 2) (+ (* -2 (* (* (pow (PI) 2) (sqrt -2)) (sqrt (log u1)))) (* (pow u2 2) (+ (* -4/45 (* (* (pow u2 2) (* (pow (PI) 6) (sqrt -2))) (sqrt (log u1)))) (* 2/3 (* (* (pow (PI) 4) (sqrt -2)) (sqrt (log u1)))))))))
(* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))
(* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))
(* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))
(* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))
(* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))
(* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))
(* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))
(* (* (cos (* 2 (* u2 (PI)))) (sqrt -2)) (sqrt (log u1)))
(* (sqrt (log u1)) (sqrt -2))
(* (sqrt (log u1)) (sqrt -2))
(* (sqrt (log u1)) (sqrt -2))
(* (sqrt (log u1)) (sqrt -2))
(* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1)))
(* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1)))
(* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1)))
(* (sqrt (log (/ 1 u1))) (* (sqrt -2) (sqrt -1)))
(* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))
(* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))
(* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))
(* (sqrt -2) (sqrt (+ (log -1) (* -1 (log (/ -1 u1))))))
(* u2 (PI))
(* u2 (PI))
(* u2 (PI))
(* u2 (PI))
(* u2 (PI))
(* u2 (PI))
(* u2 (PI))
(* u2 (PI))
(* u2 (PI))
(* u2 (PI))
(* u2 (PI))
(* u2 (PI))
(log u1)
(log u1)
(log u1)
(log u1)
(* -1 (log (/ 1 u1)))
(* -1 (log (/ 1 u1)))
(* -1 (log (/ 1 u1)))
(* -1 (log (/ 1 u1)))
(+ (log -1) (* -1 (log (/ -1 u1))))
(+ (log -1) (* -1 (log (/ -1 u1))))
(+ (log -1) (* -1 (log (/ -1 u1))))
(+ (log -1) (* -1 (log (/ -1 u1))))
Outputs
(+ 1/2 (* (* (cos (* 2 (* u2 (PI)))) (sqrt -1/18)) (sqrt (log u1))))
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(*.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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(* (* (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))))
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(*.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)))))
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(+ (* (sqrt (log u1)) (sqrt -2)) (* (pow u2 2) (+ (* -2 (* (* (pow (PI) 2) (sqrt -2)) (sqrt (log u1)))) (* (pow u2 2) (+ (* -4/45 (* (* (pow u2 2) (* (pow (PI) 6) (sqrt -2))) (sqrt (log u1)))) (* 2/3 (* (* (pow (PI) 4) (sqrt -2)) (sqrt (log u1)))))))))
(+.f64 (*.f64 u2 (*.f64 u2 (*.f64 (sqrt.f64 (log.f64 u1)) (*.f64 (*.f64 u2 u2) (*.f64 (sqrt.f64 #s(literal -2 binary64)) (+.f64 (*.f64 #s(literal 2/3 binary64) (pow.f64 (PI.f64) #s(literal 4 binary64))) (*.f64 #s(literal -4/45 binary64) (*.f64 u2 (*.f64 u2 (pow.f64 (PI.f64) #s(literal 6 binary64))))))))))) (*.f64 (sqrt.f64 (log.f64 u1)) (*.f64 (sqrt.f64 #s(literal -2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) (*.f64 u2 (*.f64 u2 (*.f64 (PI.f64) (PI.f64)))))))))
(* (* (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)) (sqrt.f64 #s(literal -2 binary64))))
(* (* (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)) (sqrt.f64 #s(literal -2 binary64))))
(* (* (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)) (sqrt.f64 #s(literal -2 binary64))))
(* (* (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)) (sqrt.f64 #s(literal -2 binary64))))
(* (* (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)) (sqrt.f64 #s(literal -2 binary64))))
(* (* (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)) (sqrt.f64 #s(literal -2 binary64))))
(* (* (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)) (sqrt.f64 #s(literal -2 binary64))))
(* (* (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)) (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 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 (log.f64 (/.f64 #s(literal 1 binary64) 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 (log.f64 (/.f64 #s(literal 1 binary64) 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 (log.f64 (/.f64 #s(literal 1 binary64) 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 (log.f64 (/.f64 #s(literal 1 binary64) 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)))
(* u2 (PI))
(*.f64 u2 (PI.f64))
(* u2 (PI))
(*.f64 u2 (PI.f64))
(* u2 (PI))
(*.f64 u2 (PI.f64))
(* u2 (PI))
(*.f64 u2 (PI.f64))
(* u2 (PI))
(*.f64 u2 (PI.f64))
(* u2 (PI))
(*.f64 u2 (PI.f64))
(* u2 (PI))
(*.f64 u2 (PI.f64))
(* u2 (PI))
(*.f64 u2 (PI.f64))
(* u2 (PI))
(*.f64 u2 (PI.f64))
(* u2 (PI))
(*.f64 u2 (PI.f64))
(* u2 (PI))
(*.f64 u2 (PI.f64))
(* u2 (PI))
(*.f64 u2 (PI.f64))
(log u1)
(log.f64 u1)
(log u1)
(log.f64 u1)
(log u1)
(log.f64 u1)
(log u1)
(log.f64 u1)
(* -1 (log (/ 1 u1)))
(log.f64 u1)
(* -1 (log (/ 1 u1)))
(log.f64 u1)
(* -1 (log (/ 1 u1)))
(log.f64 u1)
(* -1 (log (/ 1 u1)))
(log.f64 u1)
(+ (log -1) (* -1 (log (/ -1 u1))))
(-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) u1)))
(+ (log -1) (* -1 (log (/ -1 u1))))
(-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) u1)))
(+ (log -1) (* -1 (log (/ -1 u1))))
(-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) u1)))
(+ (log -1) (* -1 (log (/ -1 u1))))
(-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) u1)))

eval258.0ms (2.4%)

Compiler

Compiled 39014 to 3134 computations (92% saved)

prune208.0ms (2%)

Pruning

16 alts after pruning (12 fresh and 4 done)

PrunedKeptTotal
New1738121750
Fresh707
Picked235
Done011
Total1747161763
Accuracy
100.0%
Counts
1763 → 16
Alt Table
Click to see full alt table
StatusAccuracyProgram
98.4%
(/.f64 (+.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)))
98.4%
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -1/18 binary64)))) (+.f64 #s(literal 1/4 binary64) (*.f64 (log.f64 u1) #s(literal 1/18 binary64)))))
98.6%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -1/18 binary64))) #s(literal 1/2 binary64))))
98.5%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (pow.f64 (*.f64 (*.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)) #s(literal 1/6 binary64)) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))))
98.4%
(+.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))
98.7%
(+.f64 (*.f64 (sqrt.f64 (*.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)) #s(literal 1/6 binary64))) (sqrt.f64 #s(literal 1/6 binary64))) #s(literal 1/2 binary64))
99.7%
(+.f64 (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -1/18 binary64))) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))) #s(literal 1/2 binary64))
✓98.3%
(+.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))
✓98.6%
(+.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)) #s(literal 1/2 binary64))) #s(literal 1/2 binary64))
✓99.5%
(+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))))) #s(literal 1/2 binary64))
98.7%
(+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 (sqrt.f64 (log.f64 (/.f64 #s(literal 1 binary64) u1))) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 1/2 binary64))
✓98.6%
(+.f64 (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)))) #s(literal 1/2 binary64))
98.8%
(+.f64 (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -1/18 binary64))) #s(literal 1/2 binary64))
98.6%
(+.f64 (exp.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (*.f64 (log.f64 u1) #s(literal -1/18 binary64))))) #s(literal 1/2 binary64))
98.7%
(+.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (log.f64 (/.f64 #s(literal 1 binary64) u1))) (sqrt.f64 #s(literal 1/18 binary64))))
98.4%
(exp.f64 (log.f64 (+.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -1/18 binary64))))))
Compiler

Compiled 1562 to 452 computations (71.1% saved)

regimes174.0ms (1.7%)

Counts
55 → 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 (*.f64 #s(literal 1/6 binary64) (pow.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)) #s(literal 1/2 binary64))) #s(literal 1/2 binary64))
(+.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 (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -1/18 binary64))) #s(literal 1/2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (pow.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal 1/2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (pow.f64 (*.f64 (*.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)) #s(literal 1/6 binary64)) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))))
(+.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (log.f64 u1)) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -2 binary64)))))
(+.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (log.f64 (/.f64 #s(literal 1 binary64) u1))) (sqrt.f64 #s(literal 1/18 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 (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 (*.f64 #s(literal 1/6 binary64) (exp.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)))))) #s(literal 1/2 binary64))
(+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 (sqrt.f64 (log.f64 (/.f64 #s(literal 1 binary64) u1))) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 1/2 binary64))
(+.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 (pow.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)) #s(literal 1/4 binary64)) #s(literal 2 binary64))) #s(literal 1/2 binary64))
(+.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 (pow.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)) #s(literal 2 binary64)) #s(literal 1/4 binary64))) #s(literal 1/2 binary64))
(+.f64 (*.f64 (sqrt.f64 (*.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)) #s(literal 1/6 binary64))) (sqrt.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 (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/4 binary64)) #s(literal 2 binary64))) #s(literal 1 binary64)))
(+.f64 (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -1/18 binary64))) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))) #s(literal 1/2 binary64))
(/.f64 (+.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 #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 #s(literal 1/6 binary64) (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))))) #s(literal 1/2 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -1/18 binary64)))) (+.f64 #s(literal 1/4 binary64) (*.f64 (log.f64 u1) #s(literal 1/18 binary64)))))
(+.f64 #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 #s(literal 1 binary64) (/.f64 (-.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 1/4 binary64) (*.f64 (log.f64 u1) #s(literal -1/18 binary64)))))
(/.f64 (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal -1/36 binary64) (*.f64 (log.f64 u1) #s(literal -2 binary64)))) (+.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal -1/6 binary64))))
(+.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/2 binary64))) (cos.f64 (*.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) u2))) #s(literal 1/2 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal -1/6 binary64)))) (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal -1/36 binary64) (*.f64 (log.f64 u1) #s(literal -2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))))))))
(/.f64 #s(literal 1 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))))))))
(exp.f64 (log.f64 (+.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -1/18 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 (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/4 binary64)) (*.f64 (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/4 binary64)) #s(literal 1/6 binary64))))
(+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 #s(literal 1/6 binary64) (exp.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)))))) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))))
(+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 #s(literal 1/6 binary64) (exp.f64 (*.f64 (log.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal 1/2 binary64)))) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))))
(+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 #s(literal 1/6 binary64) (*.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 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))))) #s(literal -1/2 binary64)) (+.f64 (*.f64 (log.f64 u1) #s(literal -1/18 binary64)) #s(literal -1/4 binary64))))
(+.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 (log.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 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.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 1/4 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 1/2 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 #s(literal 1/8 binary64) (pow.f64 (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)))) #s(literal 3 binary64))) (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)))) (-.f64 (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)))) #s(literal 1/2 binary64)))))
(/.f64 (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal -1/36 binary64) (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)))) #s(literal 2 binary64)))) (+.f64 #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)))))
(/.f64 (-.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))))) #s(literal 2 binary64))) (+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))) (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal -1/6 binary64)))))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))) (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal -1/6 binary64))))) (-.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))))) #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))))) #s(literal -1/2 binary64)) (+.f64 (pow.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))))) #s(literal 2 binary64)) #s(literal -1/4 binary64))))
(/.f64 (+.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))))) #s(literal 3 binary64))) (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))) (-.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))) #s(literal 1/36 binary64)) #s(literal 1/12 binary64)))))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))) (-.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))) #s(literal 1/36 binary64)) #s(literal 1/12 binary64))))) (+.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))))) #s(literal 3 binary64))))
(-.f64 (/.f64 (pow.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))))) #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))))) #s(literal -1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))))) #s(literal -1/2 binary64))))
(/.f64 (-.f64 #s(literal 1/16 binary64) (pow.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))))) #s(literal 4 binary64))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))) (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal -1/6 binary64)))) (+.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))))) #s(literal 2 binary64)))))
(*.f64 (/.f64 (-.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))))) #s(literal 2 binary64))) (-.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))))) #s(literal 3 binary64)))) (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))) (+.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))) #s(literal 1/36 binary64)) #s(literal 1/12 binary64)))))
(/.f64 (-.f64 #s(literal 1/64 binary64) (pow.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))))) #s(literal 6 binary64))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))) (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal -1/6 binary64)))) (+.f64 (+.f64 #s(literal 1/16 binary64) (pow.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))))) #s(literal 4 binary64))) (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))) (*.f64 #s(literal 1/12 binary64) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))))) #s(literal 2 binary64)))))
(/.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))) (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal -1/6 binary64))))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))) (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal -1/6 binary64)))) (pow.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))))) #s(literal 2 binary64)))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))) (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal -1/6 binary64)))) (+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))) (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) #s(literal -1/6 binary64))))))
(/.f64 (*.f64 (+.f64 #s(literal 1/512 binary64) (pow.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))))) #s(literal 9 binary64))) (/.f64 #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 1/64 binary64) (-.f64 (pow.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))))) #s(literal 6 binary64)) (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2))) (*.f64 #s(literal 1/12 binary64) (sqrt.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1))))) #s(literal 3 binary64)))))
Outputs
(+.f64 (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -1/18 binary64))) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))) #s(literal 1/2 binary64))
Calls

10 calls:

36.0ms
(cos.f64 (*.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) u2))
16.0ms
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/2 binary64)))
15.0ms
(*.f64 #s(literal -2 binary64) (log.f64 u1))
15.0ms
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/2 binary64))) (cos.f64 (*.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) u2)))
15.0ms
(log.f64 u1)
Results
AccuracySegmentsBranch
99.7%1u1
99.7%1u2
99.7%1(+.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/2 binary64))) (cos.f64 (*.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) u2))) #s(literal 1/2 binary64))
99.7%1(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/2 binary64))) (cos.f64 (*.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) u2)))
99.7%1(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 6 binary64)) (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/2 binary64)))
99.7%1(pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/2 binary64))
99.7%1(*.f64 #s(literal -2 binary64) (log.f64 u1))
99.7%1(log.f64 u1)
99.7%1(cos.f64 (*.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) u2))
99.7%1(*.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) u2)
Compiler

Compiled 91 to 78 computations (14.3% saved)

regimes21.0ms (0.2%)

Accuracy

Total -63.2b remaining (-8180.2%)

Threshold costs -63.2b (-8180.2%)

Counts
17 → 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 (*.f64 #s(literal 1/6 binary64) (pow.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)) #s(literal 1/2 binary64))) #s(literal 1/2 binary64))
(+.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 (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -1/18 binary64))) #s(literal 1/2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (pow.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 (log.f64 u1) #s(literal -2 binary64))) #s(literal 1/2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (pow.f64 (*.f64 (*.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)) #s(literal 1/6 binary64)) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))))
(+.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (log.f64 u1)) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -2 binary64)))))
(+.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (log.f64 (/.f64 #s(literal 1 binary64) u1))) (sqrt.f64 #s(literal 1/18 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 (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 (*.f64 #s(literal 1/6 binary64) (exp.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)))))) #s(literal 1/2 binary64))
(+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 (sqrt.f64 (log.f64 (/.f64 #s(literal 1 binary64) u1))) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 1/2 binary64))
(+.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 (pow.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)) #s(literal 1/4 binary64)) #s(literal 2 binary64))) #s(literal 1/2 binary64))
(+.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 (pow.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)) #s(literal 2 binary64)) #s(literal 1/4 binary64))) #s(literal 1/2 binary64))
(+.f64 (*.f64 (sqrt.f64 (*.f64 (*.f64 (log.f64 u1) #s(literal -2 binary64)) #s(literal 1/6 binary64))) (sqrt.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 (pow.f64 (*.f64 #s(literal -2 binary64) (log.f64 u1)) #s(literal 1/4 binary64)) #s(literal 2 binary64))) #s(literal 1 binary64)))
Outputs
(+.f64 (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -1/18 binary64))) #s(literal 1/2 binary64))
Calls

4 calls:

6.0ms
(*.f64 #s(literal -2 binary64) (log.f64 u1))
5.0ms
(log.f64 u1)
5.0ms
u2
5.0ms
u1
Results
AccuracySegmentsBranch
98.8%1u1
98.8%1u2
98.8%1(*.f64 #s(literal -2 binary64) (log.f64 u1))
98.8%1(log.f64 u1)
Compiler

Compiled 16 to 12 computations (25% saved)

simplify20.0ms (0.2%)

Algorithm
1×egg-herbie
Rules
8×*-commutative_binary64
4×+-commutative_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01521
12121
Stop Event
1×saturated
Calls
Call 1
Inputs
(+.f64 (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -1/18 binary64))) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))) #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 (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -1/18 binary64))) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (PI.f64) u2)))) #s(literal 1/2 binary64))
(+.f64 (sqrt.f64 (*.f64 (log.f64 u1) #s(literal -1/18 binary64))) #s(literal 1/2 binary64))

soundness1.8s (17.4%)

Rules
5942×+-lowering-+.f64
5942×+-lowering-+.f32
5504×*-lowering-*.f32
5504×*-lowering-*.f64
5100×*-lowering-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
041217
1241201
21753182
08976182
050281
1301254
02059254
034171
1194147
21170147
08876147
01645
16944
240044
3398544
0828644
01915
13315
24915
35715
05715
0811268
12101219
27161195
327301171
435201165
554071165
668371165
769931165
870891165
971591165
1071991165
1172151165
083561165
Stop Event
1×fuel
1×iter limit
1×node limit
1×iter limit
1×saturated
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×iter limit
1×node limit
1×iter limit
1×node limit
Compiler

Compiled 107 to 90 computations (15.9% saved)

preprocess30.0ms (0.3%)

Remove

(abs u2)

Compiler

Compiled 120 to 94 computations (21.7% saved)

end0.0ms (0%)

Profiling

Loading profile data...